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<math> s_{(1)}\cdot s_{(1)}=[r_{5}]s_{(1)}+2s_{(2)}


$s_{(2)}\cdot s_{(1)}=[2 r_{4} + r_{5}]s_{(2)}+1s_{(21)}+2s_{(3)}$


$s_{(21)}\cdot s_{(1)}=[2 r_{4} + 2 r_{5}]s_{(21)}+2s_{(31)}$


$s_{(3)}\cdot s_{(1)}=[2 r_{3} + 2 r_{4} + r_{5}]s_{(3)}+1s_{(31)}+2s_{(4)}$


$s_{(31)}\cdot s_{(1)}=[2 r_{3} + 2 r_{4} + 2 r_{5}]s_{(31)}+2s_{(32)}+2s_{(41)}$


$s_{(32)}\cdot s_{(1)}=[2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(32)}+1s_{(321)}+2s_{(42)}$


$s_{(321)}\cdot s_{(1)}=[2 r_{3} + 4 r_{4} + 3 r_{5}]s_{(321)}+2s_{(421)}$


$s_{(4)}\cdot s_{(1)}=[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(4)}+1s_{(41)}+2s_{(5)}$


$s_{(41)}\cdot s_{(1)}=[2 r_{2} + 2 r_{3} + 2 r_{4} + 2 r_{5}]s_{(41)}+2s_{(42)}+2s_{(51)}$


$s_{(42)}\cdot s_{(1)}=[2 r_{2} + 2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(42)}+1s_{(421)}+2s_{(43)}+2s_{(52)}$


$s_{(421)}\cdot s_{(1)}=[2 r_{2} + 2 r_{3} + 4 r_{4} + 3 r_{5}]s_{(421)}+2s_{(431)}+2s_{(521)}$


$s_{(43)}\cdot s_{(1)}=[2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(43)}+1s_{(431)}+2s_{(53)}$


$s_{(431)}\cdot s_{(1)}=[2 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(431)}+2s_{(432)}+2s_{(531)}$


$s_{(432)}\cdot s_{(1)}=[2 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(432)}+1s_{(4321)}+2s_{(532)}$


$s_{(4321)}\cdot s_{(1)}=[2 r_{2} + 4 r_{3} + 6 r_{4} + 4 r_{5}]s_{(4321)}+2s_{(5321)}$


$s_{(5)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5)}+1s_{(51)}$


$s_{(51)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + 2 r_{5}]s_{(51)}+2s_{(52)}$


$s_{(52)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(52)}+1s_{(521)}+2s_{(53)}$


$s_{(521)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 2 r_{3} + 4 r_{4} + 3 r_{5}]s_{(521)}+2s_{(531)}$


$s_{(53)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(53)}+1s_{(531)}+2s_{(54)}$


$s_{(531)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(531)}+2s_{(532)}+2s_{(541)}$


$s_{(532)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(532)}+1s_{(5321)}+2s_{(542)}$


$s_{(5321)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 4 r_{3} + 6 r_{4} + 4 r_{5}]s_{(5321)}+2s_{(5421)}$


$s_{(54)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(54)}+1s_{(541)}$


$s_{(541)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(541)}+2s_{(542)}$


$s_{(542)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(542)}+1s_{(5421)}+2s_{(543)}$


$s_{(5421)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 4 r_{5}]s_{(5421)}+2s_{(5431)}$


$s_{(543)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(543)}+1s_{(5431)}$


$s_{(5431)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 4 r_{5}]s_{(5431)}+2s_{(5432)}$


$s_{(5432)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 4 r_{5}]s_{(5432)}+1s_{(54321)}$


$s_{(54321)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 5 r_{5}]s_{(54321)}$


$s_{(1)}\cdot s_{(2)}=[2 r_{4} + r_{5}]s_{(2)}+1s_{(21)}+2s_{(3)}$


$s_{(2)}\cdot s_{(2)}=[2 r_{4}^2 + r_{4} r_{5}]s_{(2)}+[2 r_{4} + r_{5}]s_{(21)}+[2 r_{3} + 4 r_{4} + r_{5}]s_{(3)}+2s_{(31)}+2s_{(4)}$


$s_{(21)}\cdot s_{(2)}=[2 r_{4}^2 + 3 r_{4} r_{5} + r_{5}^2]s_{(21)}+[2 r_{3} + 4 r_{4} + 3 r_{5}]s_{(31)}+2s_{(32)}+2s_{(41)}$


$s_{(3)}\cdot s_{(2)}=[2 r_{3}^2 + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{3} r_{5} + r_{4} r_{5}]s_{(3)}+[2 r_{3} + 2 r_{4} + r_{5}]s_{(31)}+1s_{(32)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(4)}+2s_{(41)}+2s_{(5)}$


$s_{(31)}\cdot s_{(2)}=[2 r_{3}^2 + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(31)}+[4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(32)}+1s_{(321)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(41)}+4s_{(42)}+2s_{(51)}$


$s_{(32)}\cdot s_{(2)}=[2 r_{3}^2 + 8 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(32)}+[2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(321)}+[2 r_{2} + 4 r_{3} + 8 r_{4} + 3 r_{5}]s_{(42)}+2s_{(421)}+2s_{(43)}+2s_{(52)}$


$s_{(321)}\cdot s_{(2)}=[2 r_{3}^2 + 8 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(321)}+[2 r_{2} + 4 r_{3} + 8 r_{4} + 5 r_{5}]s_{(421)}+2s_{(431)}+2s_{(521)}$


$s_{(4)}\cdot s_{(2)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(4)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(41)}+1s_{(42)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(5)}+2s_{(51)}$


$s_{(41)}\cdot s_{(2)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(41)}+[4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(42)}+1s_{(421)}+2s_{(43)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(51)}+4s_{(52)}$


$s_{(42)}\cdot s_{(2)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(42)}+[2 r_{2} + 2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(421)}+[4 r_{2} + 6 r_{3} + 8 r_{4} + 3 r_{5}]s_{(43)}+2s_{(431)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 8 r_{4} + 3 r_{5}]s_{(52)}+2s_{(521)}+4s_{(53)}$


$s_{(421)}\cdot s_{(2)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{2} r_{5} + 5 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(421)}+[4 r_{2} + 6 r_{3} + 8 r_{4} + 5 r_{5}]s_{(431)}+2s_{(432)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 8 r_{4} + 5 r_{5}]s_{(521)}+4s_{(531)}$


$s_{(43)}\cdot s_{(2)}=[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(43)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(431)}+1s_{(432)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 8 r_{4} + 3 r_{5}]s_{(53)}+2s_{(531)}+2s_{(54)}$


$s_{(431)}\cdot s_{(2)}=[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(431)}+[4 r_{2} + 8 r_{3} + 10 r_{4} + 5 r_{5}]s_{(432)}+1s_{(4321)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 8 r_{4} + 5 r_{5}]s_{(531)}+4s_{(532)}+2s_{(541)}$


$s_{(432)}\cdot s_{(2)}=[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 15 r_{4} r_{5} + 3 r_{5}^2]s_{(432)}+[2 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(4321)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 12 r_{4} + 5 r_{5}]s_{(532)}+2s_{(5321)}+2s_{(542)}$


$s_{(4321)}\cdot s_{(2)}=[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 7 r_{2} r_{5} + 14 r_{3} r_{5} + 21 r_{4} r_{5} + 6 r_{5}^2]s_{(4321)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 12 r_{4} + 7 r_{5}]s_{(5321)}+2s_{(5421)}$


$s_{(5)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(5)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(51)}+1s_{(52)}$


$s_{(51)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(51)}+[4 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(52)}+1s_{(521)}+2s_{(53)}$


$s_{(52)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(521)}+[4 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 3 r_{5}]s_{(53)}+2s_{(531)}+2s_{(54)}$


$s_{(521)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{1} r_{5} + 5 r_{2} r_{5} + 5 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(521)}+[4 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 5 r_{5}]s_{(531)}+2s_{(532)}+2s_{(541)}$


$s_{(53)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(53)}+[2 r_{1} + 2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(531)}+1s_{(532)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 3 r_{5}]s_{(54)}+2s_{(541)}$


$s_{(531)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{1} r_{5} + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(531)}+[4 r_{1} + 4 r_{2} + 8 r_{3} + 10 r_{4} + 5 r_{5}]s_{(532)}+1s_{(5321)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 5 r_{5}]s_{(541)}+4s_{(542)}$


$s_{(532)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{1} r_{4} + 12 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 5 r_{1} r_{5} + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 15 r_{4} r_{5} + 3 r_{5}^2]s_{(532)}+[2 r_{1} + 2 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5321)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 12 r_{4} + 5 r_{5}]s_{(542)}+2s_{(5421)}+2s_{(543)}$


$s_{(5321)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{1} r_{4} + 12 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 7 r_{1} r_{5} + 7 r_{2} r_{5} + 14 r_{3} r_{5} + 21 r_{4} r_{5} + 6 r_{5}^2]s_{(5321)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 12 r_{4} + 7 r_{5}]s_{(5421)}+2s_{(5431)}$


$s_{(54)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(54)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(541)}+1s_{(542)}$


$s_{(541)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(541)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 10 r_{4} + 5 r_{5}]s_{(542)}+1s_{(5421)}+2s_{(543)}$


$s_{(542)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 15 r_{4} r_{5} + 3 r_{5}^2]s_{(542)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5421)}+[4 r_{1} + 8 r_{2} + 10 r_{3} + 12 r_{4} + 5 r_{5}]s_{(543)}+2s_{(5431)}$


$s_{(5421)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 7 r_{1} r_{5} + 14 r_{2} r_{5} + 14 r_{3} r_{5} + 21 r_{4} r_{5} + 6 r_{5}^2]s_{(5421)}+[4 r_{1} + 8 r_{2} + 10 r_{3} + 12 r_{4} + 7 r_{5}]s_{(5431)}+2s_{(5432)}$


$s_{(543)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 36 r_{3} r_{4} + 18 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 15 r_{3} r_{5} + 15 r_{4} r_{5} + 3 r_{5}^2]s_{(543)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5431)}+1s_{(5432)}$


$s_{(5431)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 36 r_{3} r_{4} + 18 r_{4}^2 + 7 r_{1} r_{5} + 14 r_{2} r_{5} + 21 r_{3} r_{5} + 21 r_{4} r_{5} + 6 r_{5}^2]s_{(5431)}+[4 r_{1} + 8 r_{2} + 12 r_{3} + 14 r_{4} + 7 r_{5}]s_{(5432)}+1s_{(54321)}$


$s_{(5432)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 48 r_{3} r_{4} + 32 r_{4}^2 + 7 r_{1} r_{5} + 14 r_{2} r_{5} + 21 r_{3} r_{5} + 28 r_{4} r_{5} + 6 r_{5}^2]s_{(5432)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 4 r_{5}]s_{(54321)}$


$s_{(54321)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 48 r_{3} r_{4} + 32 r_{4}^2 + 9 r_{1} r_{5} + 18 r_{2} r_{5} + 27 r_{3} r_{5} + 36 r_{4} r_{5} + 10 r_{5}^2]s_{(54321)}$


$s_{(1)}\cdot s_{(3)}=[2 r_{3} + 2 r_{4} + r_{5}]s_{(3)}+1s_{(31)}+2s_{(4)}$


$s_{(2)}\cdot s_{(3)}=[2 r_{3}^2 + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{3} r_{5} + r_{4} r_{5}]s_{(3)}+[2 r_{3} + 2 r_{4} + r_{5}]s_{(31)}+1s_{(32)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(4)}+2s_{(41)}+2s_{(5)}$


$s_{(21)}\cdot s_{(3)}=[2 r_{3}^2 + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(31)}+[2 r_{3} + 2 r_{4} + r_{5}]s_{(32)}+1s_{(321)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(41)}+2s_{(42)}+2s_{(51)}$


$s_{(3)}\cdot s_{(3)}=[2 r_{3}^3 + 4 r_{3}^2 r_{4} + 2 r_{3} r_{4}^2 + r_{3}^2 r_{5} + r_{3} r_{4} r_{5}]s_{(3)}+[2 r_{3}^2 + 2 r_{3} r_{4} + r_{3} r_{5}]s_{(31)}+[2 r_{3} + 2 r_{4} + r_{5}]s_{(32)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + r_{2} r_{5} + 2 r_{3} r_{5} + r_{4} r_{5}]s_{(4)}+[2 r_{2} + 4 r_{3} + 2 r_{4} + r_{5}]s_{(41)}+2s_{(42)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 4 r_{4} + r_{5}]s_{(5)}+2s_{(51)}$


$s_{(31)}\cdot s_{(3)}=[2 r_{3}^3 + 4 r_{3}^2 r_{4} + 2 r_{3} r_{4}^2 + 3 r_{3}^2 r_{5} + 3 r_{3} r_{4} r_{5} + r_{3} r_{5}^2]s_{(31)}+[4 r_{3}^2 + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(32)}+[2 r_{3} + 2 r_{4} + r_{5}]s_{(321)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(41)}+[4 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(42)}+2s_{(421)}+2s_{(43)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 4 r_{4} + 3 r_{5}]s_{(51)}+4s_{(52)}$


$s_{(32)}\cdot s_{(3)}=[2 r_{3}^3 + 8 r_{3}^2 r_{4} + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{3}^2 r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(32)}+[2 r_{3}^2 + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(321)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(42)}+[2 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(421)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(43)}+2s_{(431)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 3 r_{5}]s_{(52)}+2s_{(521)}+2s_{(53)}$


$s_{(321)}\cdot s_{(3)}=[2 r_{3}^3 + 8 r_{3}^2 r_{4} + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{3}^2 r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(321)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(421)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(431)}+2s_{(432)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 5 r_{5}]s_{(521)}+2s_{(531)}$


$s_{(4)}\cdot s_{(3)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{2}^2 r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{2}^2 r_{5} + 2 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(4)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{2} r_{4} + 2 r_{3} r_{4} + r_{2} r_{5} + r_{3} r_{5}]s_{(41)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(42)}+1s_{(43)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + 2 r_{2} r_{5} + 2 r_{3} r_{5} + r_{4} r_{5}]s_{(5)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 2 r_{4} + r_{5}]s_{(51)}+2s_{(52)}$


$s_{(41)}\cdot s_{(3)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{2}^2 r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{2}^2 r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(41)}+[4 r_{2}^2 + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(42)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(421)}+[4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(43)}+1s_{(431)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(51)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(52)}+2s_{(521)}+4s_{(53)}$


$s_{(42)}\cdot s_{(3)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{2}^2 r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{2}^2 r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(42)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(421)}+[4 r_{2}^2 + 12 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 4 r_{2} r_{5} + 7 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(43)}+[4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(431)}+1s_{(432)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(521)}+[4 r_{1} + 8 r_{2} + 12 r_{3} + 12 r_{4} + 4 r_{5}]s_{(53)}+4s_{(531)}+2s_{(54)}$


$s_{(421)}\cdot s_{(3)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{2}^2 r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{2}^2 r_{5} + 10 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(421)}+[4 r_{2}^2 + 12 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 8 r_{2} r_{5} + 13 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(431)}+[4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(432)}+1s_{(4321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(521)}+[4 r_{1} + 8 r_{2} + 12 r_{3} + 12 r_{4} + 8 r_{5}]s_{(531)}+4s_{(532)}+2s_{(541)}$


$s_{(43)}\cdot s_{(3)}=[2 r_{2}^3 + 10 r_{2}^2 r_{3} + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{2}^2 r_{4} + 28 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{2}^2 r_{5} + 10 r_{2} r_{3} r_{5} + 10 r_{3}^2 r_{5} + 7 r_{2} r_{4} r_{5} + 14 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{2} r_{5}^2 + 2 r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(43)}+[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 6 r_{2} r_{4} + 12 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(431)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(432)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 18 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 28 r_{3} r_{4} + 10 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 10 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(53)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 6 r_{4} + 3 r_{5}]s_{(531)}+2s_{(532)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 4 r_{4} + r_{5}]s_{(54)}+2s_{(541)}$


$s_{(431)}\cdot s_{(3)}=[2 r_{2}^3 + 10 r_{2}^2 r_{3} + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{2}^2 r_{4} + 28 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{2}^2 r_{5} + 18 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 13 r_{2} r_{4} r_{5} + 26 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(431)}+[4 r_{2}^2 + 16 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(432)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(4321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 18 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 28 r_{3} r_{4} + 10 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 18 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(531)}+[4 r_{1} + 8 r_{2} + 16 r_{3} + 16 r_{4} + 8 r_{5}]s_{(532)}+2s_{(5321)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 4 r_{4} + 3 r_{5}]s_{(541)}+4s_{(542)}$


$s_{(432)}\cdot s_{(3)}=[2 r_{2}^3 + 10 r_{2}^2 r_{3} + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{2}^2 r_{4} + 44 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 5 r_{2}^2 r_{5} + 18 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 21 r_{2} r_{4} r_{5} + 42 r_{3} r_{4} r_{5} + 24 r_{4}^2 r_{5} + 4 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 9 r_{4} r_{5}^2 + r_{5}^3]s_{(432)}+[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 10 r_{2} r_{4} + 20 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(4321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 44 r_{3} r_{4} + 26 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 18 r_{3} r_{5} + 21 r_{4} r_{5} + 4 r_{5}^2]s_{(532)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 10 r_{4} + 5 r_{5}]s_{(5321)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 3 r_{5}]s_{(542)}+2s_{(5421)}+2s_{(543)}$


$s_{(4321)}\cdot s_{(3)}=[2 r_{2}^3 + 10 r_{2}^2 r_{3} + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{2}^2 r_{4} + 44 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 7 r_{2}^2 r_{5} + 26 r_{2} r_{3} r_{5} + 26 r_{3}^2 r_{5} + 31 r_{2} r_{4} r_{5} + 62 r_{3} r_{4} r_{5} + 36 r_{4}^2 r_{5} + 9 r_{2} r_{5}^2 + 18 r_{3} r_{5}^2 + 21 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(4321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 44 r_{3} r_{4} + 26 r_{4}^2 + 7 r_{1} r_{5} + 14 r_{2} r_{5} + 26 r_{3} r_{5} + 31 r_{4} r_{5} + 9 r_{5}^2]s_{(5321)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 5 r_{5}]s_{(5421)}+2s_{(5431)}$


$s_{(5)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{1}^2 r_{5} + 2 r_{1} r_{2} r_{5} + r_{2}^2 r_{5} + 2 r_{1} r_{3} r_{5} + 2 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{1} r_{4} r_{5} + r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{1} r_{4} + 2 r_{2} r_{4} + 2 r_{3} r_{4} + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5}]s_{(51)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(52)}+1s_{(53)}$


$s_{(51)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{1} r_{4} r_{5} + 3 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(521)}+[4 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(53)}+1s_{(531)}+2s_{(54)}$


$s_{(52)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 7 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(521)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 12 r_{1} r_{3} + 12 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 12 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 7 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(53)}+[4 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(531)}+1s_{(532)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 3 r_{5}]s_{(54)}+2s_{(541)}$


$s_{(521)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 10 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 13 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(521)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 12 r_{1} r_{3} + 12 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 12 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 8 r_{1} r_{5} + 8 r_{2} r_{5} + 13 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(531)}+[4 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(532)}+1s_{(5321)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 5 r_{5}]s_{(541)}+2s_{(542)}$


$s_{(53)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 10 r_{1}^2 r_{3} + 20 r_{1} r_{2} r_{3} + 10 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 28 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 10 r_{2} r_{3} r_{5} + 10 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 7 r_{2} r_{4} r_{5} + 14 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + 2 r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(53)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 12 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(531)}+[2 r_{1} + 2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(532)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 16 r_{1} r_{3} + 26 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 28 r_{3} r_{4} + 10 r_{4}^2 + 4 r_{1} r_{5} + 7 r_{2} r_{5} + 10 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(54)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 6 r_{4} + 3 r_{5}]s_{(541)}+2s_{(542)}$


$s_{(531)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 10 r_{1}^2 r_{3} + 20 r_{1} r_{2} r_{3} + 10 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 28 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 18 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 13 r_{2} r_{4} r_{5} + 26 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(531)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 16 r_{1} r_{3} + 16 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{1} r_{4} + 16 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 8 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(532)}+[2 r_{1} + 2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(5321)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 16 r_{1} r_{3} + 26 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 28 r_{3} r_{4} + 10 r_{4}^2 + 8 r_{1} r_{5} + 13 r_{2} r_{5} + 18 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(541)}+[8 r_{1} + 12 r_{2} + 16 r_{3} + 16 r_{4} + 8 r_{5}]s_{(542)}+2s_{(5421)}+2s_{(543)}$


$s_{(532)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 10 r_{1}^2 r_{3} + 20 r_{1} r_{2} r_{3} + 10 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 44 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 26 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 18 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 21 r_{1} r_{4} r_{5} + 21 r_{2} r_{4} r_{5} + 42 r_{3} r_{4} r_{5} + 24 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 9 r_{4} r_{5}^2 + r_{5}^3]s_{(532)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 10 r_{1} r_{4} + 10 r_{2} r_{4} + 20 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{1} r_{5} + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(5321)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 16 r_{1} r_{3} + 26 r_{2} r_{3} + 18 r_{3}^2 + 20 r_{1} r_{4} + 32 r_{2} r_{4} + 44 r_{3} r_{4} + 26 r_{4}^2 + 8 r_{1} r_{5} + 13 r_{2} r_{5} + 18 r_{3} r_{5} + 21 r_{4} r_{5} + 4 r_{5}^2]s_{(542)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 10 r_{4} + 5 r_{5}]s_{(5421)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 3 r_{5}]s_{(543)}+2s_{(5431)}$


$s_{(5321)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 10 r_{1}^2 r_{3} + 20 r_{1} r_{2} r_{3} + 10 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 44 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 26 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 7 r_{1}^2 r_{5} + 14 r_{1} r_{2} r_{5} + 7 r_{2}^2 r_{5} + 26 r_{1} r_{3} r_{5} + 26 r_{2} r_{3} r_{5} + 26 r_{3}^2 r_{5} + 31 r_{1} r_{4} r_{5} + 31 r_{2} r_{4} r_{5} + 62 r_{3} r_{4} r_{5} + 36 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 9 r_{2} r_{5}^2 + 18 r_{3} r_{5}^2 + 21 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(5321)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 16 r_{1} r_{3} + 26 r_{2} r_{3} + 18 r_{3}^2 + 20 r_{1} r_{4} + 32 r_{2} r_{4} + 44 r_{3} r_{4} + 26 r_{4}^2 + 12 r_{1} r_{5} + 19 r_{2} r_{5} + 26 r_{3} r_{5} + 31 r_{4} r_{5} + 9 r_{5}^2]s_{(5421)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 5 r_{5}]s_{(5431)}+2s_{(5432)}$


$s_{(54)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 10 r_{1}^2 r_{3} + 36 r_{1} r_{2} r_{3} + 36 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{1}^2 r_{4} + 28 r_{1} r_{2} r_{4} + 28 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 56 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 10 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 10 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 14 r_{2} r_{4} r_{5} + 14 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + 2 r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(54)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 6 r_{1} r_{4} + 12 r_{2} r_{4} + 12 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(541)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(542)}+1s_{(543)}$


$s_{(541)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 10 r_{1}^2 r_{3} + 36 r_{1} r_{2} r_{3} + 36 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{1}^2 r_{4} + 28 r_{1} r_{2} r_{4} + 28 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 56 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 18 r_{1} r_{2} r_{5} + 18 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 36 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 26 r_{2} r_{4} r_{5} + 26 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(541)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 16 r_{1} r_{3} + 32 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(542)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(5421)}+[4 r_{1} + 8 r_{2} + 10 r_{3} + 10 r_{4} + 5 r_{5}]s_{(543)}+1s_{(5431)}$


$s_{(542)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 10 r_{1}^2 r_{3} + 36 r_{1} r_{2} r_{3} + 36 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{1}^2 r_{4} + 44 r_{1} r_{2} r_{4} + 44 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 88 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 5 r_{1}^2 r_{5} + 18 r_{1} r_{2} r_{5} + 18 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 36 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 21 r_{1} r_{4} r_{5} + 42 r_{2} r_{4} r_{5} + 42 r_{3} r_{4} r_{5} + 24 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 9 r_{4} r_{5}^2 + r_{5}^3]s_{(542)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 10 r_{1} r_{4} + 20 r_{2} r_{4} + 20 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(5421)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 20 r_{1} r_{3} + 40 r_{2} r_{3} + 26 r_{3}^2 + 20 r_{1} r_{4} + 40 r_{2} r_{4} + 52 r_{3} r_{4} + 26 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 21 r_{3} r_{5} + 21 r_{4} r_{5} + 4 r_{5}^2]s_{(543)}+[4 r_{1} + 8 r_{2} + 10 r_{3} + 10 r_{4} + 5 r_{5}]s_{(5431)}+1s_{(5432)}$


$s_{(5421)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 10 r_{1}^2 r_{3} + 36 r_{1} r_{2} r_{3} + 36 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{1}^2 r_{4} + 44 r_{1} r_{2} r_{4} + 44 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 88 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 7 r_{1}^2 r_{5} + 26 r_{1} r_{2} r_{5} + 26 r_{2}^2 r_{5} + 26 r_{1} r_{3} r_{5} + 52 r_{2} r_{3} r_{5} + 26 r_{3}^2 r_{5} + 31 r_{1} r_{4} r_{5} + 62 r_{2} r_{4} r_{5} + 62 r_{3} r_{4} r_{5} + 36 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 18 r_{2} r_{5}^2 + 18 r_{3} r_{5}^2 + 21 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(5421)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 20 r_{1} r_{3} + 40 r_{2} r_{3} + 26 r_{3}^2 + 20 r_{1} r_{4} + 40 r_{2} r_{4} + 52 r_{3} r_{4} + 26 r_{4}^2 + 12 r_{1} r_{5} + 24 r_{2} r_{5} + 31 r_{3} r_{5} + 31 r_{4} r_{5} + 9 r_{5}^2]s_{(5431)}+[4 r_{1} + 8 r_{2} + 10 r_{3} + 10 r_{4} + 5 r_{5}]s_{(5432)}+1s_{(54321)}$


$s_{(543)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 14 r_{1}^2 r_{3} + 52 r_{1} r_{2} r_{3} + 52 r_{2}^2 r_{3} + 38 r_{1} r_{3}^2 + 76 r_{2} r_{3}^2 + 38 r_{3}^3 + 12 r_{1}^2 r_{4} + 44 r_{1} r_{2} r_{4} + 44 r_{2}^2 r_{4} + 64 r_{1} r_{3} r_{4} + 128 r_{2} r_{3} r_{4} + 96 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 78 r_{3} r_{4}^2 + 20 r_{4}^3 + 5 r_{1}^2 r_{5} + 18 r_{1} r_{2} r_{5} + 18 r_{2}^2 r_{5} + 26 r_{1} r_{3} r_{5} + 52 r_{2} r_{3} r_{5} + 39 r_{3}^2 r_{5} + 21 r_{1} r_{4} r_{5} + 42 r_{2} r_{4} r_{5} + 63 r_{3} r_{4} r_{5} + 24 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 12 r_{3} r_{5}^2 + 9 r_{4} r_{5}^2 + r_{5}^3]s_{(543)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 10 r_{1} r_{4} + 20 r_{2} r_{4} + 30 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 15 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(5431)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5432)}$


$s_{(5431)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 14 r_{1}^2 r_{3} + 52 r_{1} r_{2} r_{3} + 52 r_{2}^2 r_{3} + 38 r_{1} r_{3}^2 + 76 r_{2} r_{3}^2 + 38 r_{3}^3 + 12 r_{1}^2 r_{4} + 44 r_{1} r_{2} r_{4} + 44 r_{2}^2 r_{4} + 64 r_{1} r_{3} r_{4} + 128 r_{2} r_{3} r_{4} + 96 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 78 r_{3} r_{4}^2 + 20 r_{4}^3 + 7 r_{1}^2 r_{5} + 26 r_{1} r_{2} r_{5} + 26 r_{2}^2 r_{5} + 38 r_{1} r_{3} r_{5} + 76 r_{2} r_{3} r_{5} + 57 r_{3}^2 r_{5} + 31 r_{1} r_{4} r_{5} + 62 r_{2} r_{4} r_{5} + 93 r_{3} r_{4} r_{5} + 36 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 18 r_{2} r_{5}^2 + 27 r_{3} r_{5}^2 + 21 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(5431)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 24 r_{1} r_{3} + 48 r_{2} r_{3} + 36 r_{3}^2 + 24 r_{1} r_{4} + 48 r_{2} r_{4} + 72 r_{3} r_{4} + 36 r_{4}^2 + 12 r_{1} r_{5} + 24 r_{2} r_{5} + 36 r_{3} r_{5} + 36 r_{4} r_{5} + 9 r_{5}^2]s_{(5432)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(54321)}$


$s_{(5432)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 14 r_{1}^2 r_{3} + 52 r_{1} r_{2} r_{3} + 52 r_{2}^2 r_{3} + 38 r_{1} r_{3}^2 + 76 r_{2} r_{3}^2 + 38 r_{3}^3 + 16 r_{1}^2 r_{4} + 60 r_{1} r_{2} r_{4} + 60 r_{2}^2 r_{4} + 88 r_{1} r_{3} r_{4} + 176 r_{2} r_{3} r_{4} + 132 r_{3}^2 r_{4} + 50 r_{1} r_{4}^2 + 100 r_{2} r_{4}^2 + 150 r_{3} r_{4}^2 + 56 r_{4}^3 + 7 r_{1}^2 r_{5} + 26 r_{1} r_{2} r_{5} + 26 r_{2}^2 r_{5} + 38 r_{1} r_{3} r_{5} + 76 r_{2} r_{3} r_{5} + 57 r_{3}^2 r_{5} + 43 r_{1} r_{4} r_{5} + 86 r_{2} r_{4} r_{5} + 129 r_{3} r_{4} r_{5} + 72 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 18 r_{2} r_{5}^2 + 27 r_{3} r_{5}^2 + 30 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(5432)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 14 r_{1} r_{4} + 28 r_{2} r_{4} + 42 r_{3} r_{4} + 24 r_{4}^2 + 7 r_{1} r_{5} + 14 r_{2} r_{5} + 21 r_{3} r_{5} + 24 r_{4} r_{5} + 6 r_{5}^2]s_{(54321)}$


$s_{(54321)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 14 r_{1}^2 r_{3} + 52 r_{1} r_{2} r_{3} + 52 r_{2}^2 r_{3} + 38 r_{1} r_{3}^2 + 76 r_{2} r_{3}^2 + 38 r_{3}^3 + 16 r_{1}^2 r_{4} + 60 r_{1} r_{2} r_{4} + 60 r_{2}^2 r_{4} + 88 r_{1} r_{3} r_{4} + 176 r_{2} r_{3} r_{4} + 132 r_{3}^2 r_{4} + 50 r_{1} r_{4}^2 + 100 r_{2} r_{4}^2 + 150 r_{3} r_{4}^2 + 56 r_{4}^3 + 9 r_{1}^2 r_{5} + 34 r_{1} r_{2} r_{5} + 34 r_{2}^2 r_{5} + 50 r_{1} r_{3} r_{5} + 100 r_{2} r_{3} r_{5} + 75 r_{3}^2 r_{5} + 57 r_{1} r_{4} r_{5} + 114 r_{2} r_{4} r_{5} + 171 r_{3} r_{4} r_{5} + 96 r_{4}^2 r_{5} + 16 r_{1} r_{5}^2 + 32 r_{2} r_{5}^2 + 48 r_{3} r_{5}^2 + 54 r_{4} r_{5}^2 + 10 r_{5}^3]s_{(54321)}$


$s_{(1)}\cdot s_{(4)}=[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(4)}+1s_{(41)}+2s_{(5)}$


$s_{(2)}\cdot s_{(4)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(4)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(41)}+1s_{(42)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(5)}+2s_{(51)}$


$s_{(21)}\cdot s_{(4)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(41)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(42)}+1s_{(421)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(51)}+2s_{(52)}$


$s_{(3)}\cdot s_{(4)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{2}^2 r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{2}^2 r_{5} + 2 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(4)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{2} r_{4} + 2 r_{3} r_{4} + r_{2} r_{5} + r_{3} r_{5}]s_{(41)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(42)}+1s_{(43)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + 2 r_{2} r_{5} + 2 r_{3} r_{5} + r_{4} r_{5}]s_{(5)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 2 r_{4} + r_{5}]s_{(51)}+2s_{(52)}$


$s_{(31)}\cdot s_{(4)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{2}^2 r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{2}^2 r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(41)}+[4 r_{2}^2 + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(42)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(421)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(43)}+1s_{(431)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(51)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(52)}+2s_{(521)}+2s_{(53)}$


$s_{(32)}\cdot s_{(4)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{2}^2 r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{2}^2 r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(42)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(421)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(43)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(431)}+1s_{(432)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(521)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(53)}+2s_{(531)}$


$s_{(321)}\cdot s_{(4)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{2}^2 r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{2}^2 r_{5} + 10 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(421)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(431)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(432)}+1s_{(4321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(521)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(531)}+2s_{(532)}$


$s_{(4)}\cdot s_{(4)}=[2 r_{2}^4 + 6 r_{2}^3 r_{3} + 6 r_{2}^2 r_{3}^2 + 2 r_{2} r_{3}^3 + 4 r_{2}^3 r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{2}^2 r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + r_{2}^3 r_{5} + 2 r_{2}^2 r_{3} r_{5} + r_{2} r_{3}^2 r_{5} + r_{2}^2 r_{4} r_{5} + r_{2} r_{3} r_{4} r_{5}]s_{(4)}+[2 r_{2}^3 + 4 r_{2}^2 r_{3} + 2 r_{2} r_{3}^2 + 2 r_{2}^2 r_{4} + 2 r_{2} r_{3} r_{4} + r_{2}^2 r_{5} + r_{2} r_{3} r_{5}]s_{(41)}+[2 r_{2}^2 + 2 r_{2} r_{3} + 2 r_{2} r_{4} + r_{2} r_{5}]s_{(42)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(43)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 6 r_{1}^2 r_{3} + 18 r_{1} r_{2} r_{3} + 18 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{1}^2 r_{5} + 3 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 2 r_{1} r_{3} r_{5} + 4 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{1} r_{4} r_{5} + 2 r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 4 r_{1} r_{3} + 8 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{1} r_{4} + 4 r_{2} r_{4} + 2 r_{3} r_{4} + r_{1} r_{5} + 2 r_{2} r_{5} + r_{3} r_{5}]s_{(51)}+[2 r_{1} + 4 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(52)}+2s_{(53)}$


$s_{(41)}\cdot s_{(4)}=[2 r_{2}^4 + 6 r_{2}^3 r_{3} + 6 r_{2}^2 r_{3}^2 + 2 r_{2} r_{3}^3 + 4 r_{2}^3 r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{2}^2 r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + 3 r_{2}^3 r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{2} r_{3}^2 r_{5} + 3 r_{2}^2 r_{4} r_{5} + 3 r_{2} r_{3} r_{4} r_{5} + r_{2}^2 r_{5}^2 + r_{2} r_{3} r_{5}^2]s_{(41)}+[4 r_{2}^3 + 8 r_{2}^2 r_{3} + 4 r_{2} r_{3}^2 + 8 r_{2}^2 r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{2} r_{4}^2 + 4 r_{2}^2 r_{5} + 4 r_{2} r_{3} r_{5} + 4 r_{2} r_{4} r_{5} + r_{2} r_{5}^2]s_{(42)}+[2 r_{2}^2 + 2 r_{2} r_{3} + 2 r_{2} r_{4} + r_{2} r_{5}]s_{(421)}+[4 r_{2}^2 + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(43)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(431)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 6 r_{1}^2 r_{3} + 18 r_{1} r_{2} r_{3} + 18 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 9 r_{1} r_{2} r_{5} + 9 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 12 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{1} r_{4} r_{5} + 6 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 12 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 8 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 4 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(521)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(53)}+2s_{(531)}+2s_{(54)}$


$s_{(42)}\cdot s_{(4)}=[2 r_{2}^4 + 6 r_{2}^3 r_{3} + 6 r_{2}^2 r_{3}^2 + 2 r_{2} r_{3}^3 + 8 r_{2}^3 r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{2}^2 r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{2} r_{4}^3 + 3 r_{2}^3 r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{2} r_{3}^2 r_{5} + 7 r_{2}^2 r_{4} r_{5} + 7 r_{2} r_{3} r_{4} r_{5} + 4 r_{2} r_{4}^2 r_{5} + r_{2}^2 r_{5}^2 + r_{2} r_{3} r_{5}^2 + r_{2} r_{4} r_{5}^2]s_{(42)}+[2 r_{2}^3 + 4 r_{2}^2 r_{3} + 2 r_{2} r_{3}^2 + 6 r_{2}^2 r_{4} + 6 r_{2} r_{3} r_{4} + 4 r_{2} r_{4}^2 + 3 r_{2}^2 r_{5} + 3 r_{2} r_{3} r_{5} + 4 r_{2} r_{4} r_{5} + r_{2} r_{5}^2]s_{(421)}+[4 r_{2}^3 + 12 r_{2}^2 r_{3} + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{2}^2 r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{2}^2 r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 8 r_{2} r_{4} r_{5} + 8 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(43)}+[4 r_{2}^2 + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(431)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(432)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 6 r_{1}^2 r_{3} + 18 r_{1} r_{2} r_{3} + 18 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 32 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 9 r_{1} r_{2} r_{5} + 9 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 12 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 14 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 4 r_{1} r_{3} + 8 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{1} r_{4} + 12 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(521)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 12 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 12 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 24 r_{3} r_{4} + 12 r_{4}^2 + 4 r_{1} r_{5} + 8 r_{2} r_{5} + 8 r_{3} r_{5} + 8 r_{4} r_{5} + r_{5}^2]s_{(53)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(531)}+2s_{(532)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(54)}+2s_{(541)}$


$s_{(421)}\cdot s_{(4)}=[2 r_{2}^4 + 6 r_{2}^3 r_{3} + 6 r_{2}^2 r_{3}^2 + 2 r_{2} r_{3}^3 + 8 r_{2}^3 r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{2}^2 r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{2} r_{4}^3 + 5 r_{2}^3 r_{5} + 10 r_{2}^2 r_{3} r_{5} + 5 r_{2} r_{3}^2 r_{5} + 13 r_{2}^2 r_{4} r_{5} + 13 r_{2} r_{3} r_{4} r_{5} + 8 r_{2} r_{4}^2 r_{5} + 4 r_{2}^2 r_{5}^2 + 4 r_{2} r_{3} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + r_{2} r_{5}^3]s_{(421)}+[4 r_{2}^3 + 12 r_{2}^2 r_{3} + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{2}^2 r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{2}^2 r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{2} r_{4} r_{5} + 16 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(431)}+[4 r_{2}^2 + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(432)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(4321)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 6 r_{1}^2 r_{3} + 18 r_{1} r_{2} r_{3} + 18 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 32 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 15 r_{1} r_{2} r_{5} + 15 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 26 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(521)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 12 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 12 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 24 r_{3} r_{4} + 12 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 5 r_{5}^2]s_{(531)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(532)}+2s_{(5321)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(541)}+2s_{(542)}$


$s_{(43)}\cdot s_{(4)}=[2 r_{2}^4 + 10 r_{2}^3 r_{3} + 18 r_{2}^2 r_{3}^2 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{2}^3 r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{2}^2 r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 3 r_{2}^3 r_{5} + 10 r_{2}^2 r_{3} r_{5} + 11 r_{2} r_{3}^2 r_{5} + 4 r_{3}^3 r_{5} + 7 r_{2}^2 r_{4} r_{5} + 15 r_{2} r_{3} r_{4} r_{5} + 8 r_{3}^2 r_{4} r_{5} + 4 r_{2} r_{4}^2 r_{5} + 4 r_{3} r_{4}^2 r_{5} + r_{2}^2 r_{5}^2 + 2 r_{2} r_{3} r_{5}^2 + r_{3}^2 r_{5}^2 + r_{2} r_{4} r_{5}^2 + r_{3} r_{4} r_{5}^2]s_{(43)}+[2 r_{2}^3 + 8 r_{2}^2 r_{3} + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 6 r_{2}^2 r_{4} + 14 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 4 r_{2} r_{4}^2 + 4 r_{3} r_{4}^2 + 3 r_{2}^2 r_{5} + 7 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 4 r_{2} r_{4} r_{5} + 4 r_{3} r_{4} r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(431)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(432)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 10 r_{1}^2 r_{3} + 30 r_{1} r_{2} r_{3} + 30 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 14 r_{3}^3 + 8 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 56 r_{2} r_{3} r_{4} + 32 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 22 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 9 r_{1} r_{2} r_{5} + 9 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 11 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 14 r_{2} r_{4} r_{5} + 15 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + 2 r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(53)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 10 r_{3}^2 + 6 r_{1} r_{4} + 12 r_{2} r_{4} + 14 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 7 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(531)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(532)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + 2 r_{2} r_{5} + 2 r_{3} r_{5} + r_{4} r_{5}]s_{(54)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 2 r_{4} + r_{5}]s_{(541)}+2s_{(542)}$


$s_{(431)}\cdot s_{(4)}=[2 r_{2}^4 + 10 r_{2}^3 r_{3} + 18 r_{2}^2 r_{3}^2 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{2}^3 r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{2}^2 r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 5 r_{2}^3 r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 13 r_{2}^2 r_{4} r_{5} + 29 r_{2} r_{3} r_{4} r_{5} + 16 r_{3}^2 r_{4} r_{5} + 8 r_{2} r_{4}^2 r_{5} + 8 r_{3} r_{4}^2 r_{5} + 4 r_{2}^2 r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + 5 r_{3} r_{4} r_{5}^2 + r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(431)}+[4 r_{2}^3 + 16 r_{2}^2 r_{3} + 20 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{2}^2 r_{4} + 40 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{2}^2 r_{5} + 20 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(432)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(4321)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 10 r_{1}^2 r_{3} + 30 r_{1} r_{2} r_{3} + 30 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 14 r_{3}^3 + 8 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 56 r_{2} r_{3} r_{4} + 32 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 22 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 15 r_{1} r_{2} r_{5} + 15 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 36 r_{2} r_{3} r_{5} + 21 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 26 r_{2} r_{4} r_{5} + 29 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 9 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(531)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 12 r_{2}^2 + 16 r_{1} r_{3} + 32 r_{2} r_{3} + 20 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 40 r_{3} r_{4} + 20 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 20 r_{3} r_{5} + 20 r_{4} r_{5} + 5 r_{5}^2]s_{(532)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(541)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(542)}+2s_{(5421)}+2s_{(543)}$


$s_{(432)}\cdot s_{(4)}=[2 r_{2}^4 + 10 r_{2}^3 r_{3} + 18 r_{2}^2 r_{3}^2 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{2}^3 r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{2}^2 r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 5 r_{2}^3 r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 21 r_{2}^2 r_{4} r_{5} + 49 r_{2} r_{3} r_{4} r_{5} + 28 r_{3}^2 r_{4} r_{5} + 28 r_{2} r_{4}^2 r_{5} + 32 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 4 r_{2}^2 r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 10 r_{2} r_{4} r_{5}^2 + 11 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(432)}+[2 r_{2}^3 + 8 r_{2}^2 r_{3} + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 10 r_{2}^2 r_{4} + 26 r_{2} r_{3} r_{4} + 16 r_{3}^2 r_{4} + 16 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{2}^2 r_{5} + 13 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{2} r_{4} r_{5} + 20 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(4321)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 10 r_{1}^2 r_{3} + 30 r_{1} r_{2} r_{3} + 30 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 14 r_{3}^3 + 12 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 36 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 88 r_{2} r_{3} r_{4} + 52 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 62 r_{3} r_{4}^2 + 24 r_{4}^3 + 5 r_{1}^2 r_{5} + 15 r_{1} r_{2} r_{5} + 15 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 36 r_{2} r_{3} r_{5} + 21 r_{3}^2 r_{5} + 21 r_{1} r_{4} r_{5} + 42 r_{2} r_{4} r_{5} + 49 r_{3} r_{4} r_{5} + 28 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 9 r_{3} r_{5}^2 + 10 r_{4} r_{5}^2 + r_{5}^3]s_{(532)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 10 r_{3}^2 + 10 r_{1} r_{4} + 20 r_{2} r_{4} + 26 r_{3} r_{4} + 16 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 13 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(5321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(542)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5421)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(543)}+2s_{(5431)}$


$s_{(4321)}\cdot s_{(4)}=[2 r_{2}^4 + 10 r_{2}^3 r_{3} + 18 r_{2}^2 r_{3}^2 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{2}^3 r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{2}^2 r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 7 r_{2}^3 r_{5} + 26 r_{2}^2 r_{3} r_{5} + 31 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 31 r_{2}^2 r_{4} r_{5} + 75 r_{2} r_{3} r_{4} r_{5} + 44 r_{3}^2 r_{4} r_{5} + 44 r_{2} r_{4}^2 r_{5} + 52 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 9 r_{2}^2 r_{5}^2 + 22 r_{2} r_{3} r_{5}^2 + 13 r_{3}^2 r_{5}^2 + 26 r_{2} r_{4} r_{5}^2 + 31 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 5 r_{2} r_{5}^3 + 6 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(4321)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 10 r_{1}^2 r_{3} + 30 r_{1} r_{2} r_{3} + 30 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 14 r_{3}^3 + 12 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 36 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 88 r_{2} r_{3} r_{4} + 52 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 62 r_{3} r_{4}^2 + 24 r_{4}^3 + 7 r_{1}^2 r_{5} + 21 r_{1} r_{2} r_{5} + 21 r_{2}^2 r_{5} + 26 r_{1} r_{3} r_{5} + 52 r_{2} r_{3} r_{5} + 31 r_{3}^2 r_{5} + 31 r_{1} r_{4} r_{5} + 62 r_{2} r_{4} r_{5} + 75 r_{3} r_{4} r_{5} + 44 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 18 r_{2} r_{5}^2 + 22 r_{3} r_{5}^2 + 26 r_{4} r_{5}^2 + 5 r_{5}^3]s_{(5321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(5421)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(5431)}+2s_{(5432)}$


$s_{(5)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 4 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 4 r_{2}^3 r_{4} + 8 r_{1}^2 r_{3} r_{4} + 16 r_{1} r_{2} r_{3} r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{1} r_{3}^2 r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 2 r_{2}^2 r_{4}^2 + 2 r_{1} r_{3} r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + r_{1}^3 r_{5} + 3 r_{1}^2 r_{2} r_{5} + 3 r_{1} r_{2}^2 r_{5} + r_{2}^3 r_{5} + 2 r_{1}^2 r_{3} r_{5} + 4 r_{1} r_{2} r_{3} r_{5} + 2 r_{2}^2 r_{3} r_{5} + r_{1} r_{3}^2 r_{5} + r_{2} r_{3}^2 r_{5} + r_{1}^2 r_{4} r_{5} + 2 r_{1} r_{2} r_{4} r_{5} + r_{2}^2 r_{4} r_{5} + r_{1} r_{3} r_{4} r_{5} + r_{2} r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 4 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{2}^2 r_{3} + 2 r_{1} r_{3}^2 + 2 r_{2} r_{3}^2 + 2 r_{1}^2 r_{4} + 4 r_{1} r_{2} r_{4} + 2 r_{2}^2 r_{4} + 2 r_{1} r_{3} r_{4} + 2 r_{2} r_{3} r_{4} + r_{1}^2 r_{5} + 2 r_{1} r_{2} r_{5} + r_{2}^2 r_{5} + r_{1} r_{3} r_{5} + r_{2} r_{3} r_{5}]s_{(51)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 2 r_{1} r_{3} + 2 r_{2} r_{3} + 2 r_{1} r_{4} + 2 r_{2} r_{4} + r_{1} r_{5} + r_{2} r_{5}]s_{(52)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(53)}+1s_{(54)}$


$s_{(51)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 4 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 4 r_{2}^3 r_{4} + 8 r_{1}^2 r_{3} r_{4} + 16 r_{1} r_{2} r_{3} r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{1} r_{3}^2 r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 2 r_{2}^2 r_{4}^2 + 2 r_{1} r_{3} r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 6 r_{1}^2 r_{3} r_{5} + 12 r_{1} r_{2} r_{3} r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{1} r_{3}^2 r_{5} + 3 r_{2} r_{3}^2 r_{5} + 3 r_{1}^2 r_{4} r_{5} + 6 r_{1} r_{2} r_{4} r_{5} + 3 r_{2}^2 r_{4} r_{5} + 3 r_{1} r_{3} r_{4} r_{5} + 3 r_{2} r_{3} r_{4} r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{2} r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 4 r_{1} r_{3}^2 + 4 r_{2} r_{3}^2 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(52)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 2 r_{1} r_{3} + 2 r_{2} r_{3} + 2 r_{1} r_{4} + 2 r_{2} r_{4} + r_{1} r_{5} + r_{2} r_{5}]s_{(521)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(53)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(531)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(54)}+1s_{(541)}$


$s_{(52)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 16 r_{1}^2 r_{3} r_{4} + 32 r_{1} r_{2} r_{3} r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 10 r_{1} r_{3} r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 6 r_{1}^2 r_{3} r_{5} + 12 r_{1} r_{2} r_{3} r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{1} r_{3}^2 r_{5} + 3 r_{2} r_{3}^2 r_{5} + 7 r_{1}^2 r_{4} r_{5} + 14 r_{1} r_{2} r_{4} r_{5} + 7 r_{2}^2 r_{4} r_{5} + 7 r_{1} r_{3} r_{4} r_{5} + 7 r_{2} r_{3} r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 4 r_{2} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{2} r_{3} r_{5}^2 + r_{1} r_{4} r_{5}^2 + r_{2} r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 4 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{2}^2 r_{3} + 2 r_{1} r_{3}^2 + 2 r_{2} r_{3}^2 + 6 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 6 r_{2}^2 r_{4} + 6 r_{1} r_{3} r_{4} + 6 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 3 r_{1} r_{3} r_{5} + 3 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(521)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 8 r_{1} r_{3} r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 8 r_{1} r_{4} r_{5} + 8 r_{2} r_{4} r_{5} + 8 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(53)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(531)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(532)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 4 r_{1} r_{5} + 7 r_{2} r_{5} + 7 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(54)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(541)}+1s_{(542)}$


$s_{(521)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 16 r_{1}^2 r_{3} r_{4} + 32 r_{1} r_{2} r_{3} r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 10 r_{1} r_{3} r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 10 r_{1}^2 r_{3} r_{5} + 20 r_{1} r_{2} r_{3} r_{5} + 10 r_{2}^2 r_{3} r_{5} + 5 r_{1} r_{3}^2 r_{5} + 5 r_{2} r_{3}^2 r_{5} + 13 r_{1}^2 r_{4} r_{5} + 26 r_{1} r_{2} r_{4} r_{5} + 13 r_{2}^2 r_{4} r_{5} + 13 r_{1} r_{3} r_{4} r_{5} + 13 r_{2} r_{3} r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 4 r_{1} r_{3} r_{5}^2 + 4 r_{2} r_{3} r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3]s_{(521)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 16 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(531)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(532)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5321)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 8 r_{1} r_{5} + 13 r_{2} r_{5} + 13 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(541)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(542)}+1s_{(5421)}$


$s_{(53)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 56 r_{1} r_{2} r_{3} r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 10 r_{1}^2 r_{3} r_{5} + 20 r_{1} r_{2} r_{3} r_{5} + 10 r_{2}^2 r_{3} r_{5} + 11 r_{1} r_{3}^2 r_{5} + 11 r_{2} r_{3}^2 r_{5} + 4 r_{3}^3 r_{5} + 7 r_{1}^2 r_{4} r_{5} + 14 r_{1} r_{2} r_{4} r_{5} + 7 r_{2}^2 r_{4} r_{5} + 15 r_{1} r_{3} r_{4} r_{5} + 15 r_{2} r_{3} r_{4} r_{5} + 8 r_{3}^2 r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 4 r_{2} r_{4}^2 r_{5} + 4 r_{3} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + 2 r_{1} r_{3} r_{5}^2 + 2 r_{2} r_{3} r_{5}^2 + r_{3}^2 r_{5}^2 + r_{1} r_{4} r_{5}^2 + r_{2} r_{4} r_{5}^2 + r_{3} r_{4} r_{5}^2]s_{(53)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 6 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 6 r_{2}^2 r_{4} + 14 r_{1} r_{3} r_{4} + 14 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 4 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 7 r_{1} r_{3} r_{5} + 7 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + 4 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(531)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 6 r_{1} r_{3} + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(532)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 24 r_{1} r_{2}^2 + 14 r_{2}^3 + 16 r_{1}^2 r_{3} + 48 r_{1} r_{2} r_{3} + 42 r_{2}^2 r_{3} + 24 r_{1} r_{3}^2 + 42 r_{2} r_{3}^2 + 14 r_{3}^3 + 12 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 32 r_{2}^2 r_{4} + 36 r_{1} r_{3} r_{4} + 64 r_{2} r_{3} r_{4} + 32 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 22 r_{2} r_{4}^2 + 22 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{1}^2 r_{5} + 12 r_{1} r_{2} r_{5} + 11 r_{2}^2 r_{5} + 12 r_{1} r_{3} r_{5} + 22 r_{2} r_{3} r_{5} + 11 r_{3}^2 r_{5} + 8 r_{1} r_{4} r_{5} + 15 r_{2} r_{4} r_{5} + 15 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + 2 r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(54)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 8 r_{1} r_{4} + 14 r_{2} r_{4} + 14 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 7 r_{2} r_{5} + 7 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(541)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(542)}+1s_{(543)}$


$s_{(531)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 56 r_{1} r_{2} r_{3} r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 36 r_{1} r_{2} r_{3} r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 13 r_{1}^2 r_{4} r_{5} + 26 r_{1} r_{2} r_{4} r_{5} + 13 r_{2}^2 r_{4} r_{5} + 29 r_{1} r_{3} r_{4} r_{5} + 29 r_{2} r_{3} r_{4} r_{5} + 16 r_{3}^2 r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 8 r_{3} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + 5 r_{3} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(531)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 16 r_{1}^2 r_{3} + 32 r_{1} r_{2} r_{3} + 16 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 32 r_{1} r_{2} r_{4} + 16 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 40 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 20 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(532)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 6 r_{1} r_{3} + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5321)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 24 r_{1} r_{2}^2 + 14 r_{2}^3 + 16 r_{1}^2 r_{3} + 48 r_{1} r_{2} r_{3} + 42 r_{2}^2 r_{3} + 24 r_{1} r_{3}^2 + 42 r_{2} r_{3}^2 + 14 r_{3}^3 + 12 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 32 r_{2}^2 r_{4} + 36 r_{1} r_{3} r_{4} + 64 r_{2} r_{3} r_{4} + 32 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 22 r_{2} r_{4}^2 + 22 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{1}^2 r_{5} + 24 r_{1} r_{2} r_{5} + 21 r_{2}^2 r_{5} + 24 r_{1} r_{3} r_{5} + 42 r_{2} r_{3} r_{5} + 21 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 29 r_{2} r_{4} r_{5} + 29 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 9 r_{2} r_{5}^2 + 9 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(541)}+[8 r_{1}^2 + 24 r_{1} r_{2} + 20 r_{2}^2 + 24 r_{1} r_{3} + 40 r_{2} r_{3} + 20 r_{3}^2 + 24 r_{1} r_{4} + 40 r_{2} r_{4} + 40 r_{3} r_{4} + 20 r_{4}^2 + 12 r_{1} r_{5} + 20 r_{2} r_{5} + 20 r_{3} r_{5} + 20 r_{4} r_{5} + 5 r_{5}^2]s_{(542)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5421)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(543)}+1s_{(5431)}$


$s_{(532)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 88 r_{1} r_{2} r_{3} r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 52 r_{1} r_{2} r_{4}^2 + 26 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 36 r_{1} r_{2} r_{3} r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 21 r_{1}^2 r_{4} r_{5} + 42 r_{1} r_{2} r_{4} r_{5} + 21 r_{2}^2 r_{4} r_{5} + 49 r_{1} r_{3} r_{4} r_{5} + 49 r_{2} r_{3} r_{4} r_{5} + 28 r_{3}^2 r_{4} r_{5} + 28 r_{1} r_{4}^2 r_{5} + 28 r_{2} r_{4}^2 r_{5} + 32 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 10 r_{1} r_{4} r_{5}^2 + 10 r_{2} r_{4} r_{5}^2 + 11 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(532)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 10 r_{1}^2 r_{4} + 20 r_{1} r_{2} r_{4} + 10 r_{2}^2 r_{4} + 26 r_{1} r_{3} r_{4} + 26 r_{2} r_{3} r_{4} + 16 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 16 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 13 r_{1} r_{3} r_{5} + 13 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 20 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5321)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 24 r_{1} r_{2}^2 + 14 r_{2}^3 + 16 r_{1}^2 r_{3} + 48 r_{1} r_{2} r_{3} + 42 r_{2}^2 r_{3} + 24 r_{1} r_{3}^2 + 42 r_{2} r_{3}^2 + 14 r_{3}^3 + 20 r_{1}^2 r_{4} + 60 r_{1} r_{2} r_{4} + 52 r_{2}^2 r_{4} + 60 r_{1} r_{3} r_{4} + 104 r_{2} r_{3} r_{4} + 52 r_{3}^2 r_{4} + 36 r_{1} r_{4}^2 + 62 r_{2} r_{4}^2 + 62 r_{3} r_{4}^2 + 24 r_{4}^3 + 8 r_{1}^2 r_{5} + 24 r_{1} r_{2} r_{5} + 21 r_{2}^2 r_{5} + 24 r_{1} r_{3} r_{5} + 42 r_{2} r_{3} r_{5} + 21 r_{3}^2 r_{5} + 28 r_{1} r_{4} r_{5} + 49 r_{2} r_{4} r_{5} + 49 r_{3} r_{4} r_{5} + 28 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 9 r_{2} r_{5}^2 + 9 r_{3} r_{5}^2 + 10 r_{4} r_{5}^2 + r_{5}^3]s_{(542)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 16 r_{1} r_{4} + 26 r_{2} r_{4} + 26 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 13 r_{2} r_{5} + 13 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(5421)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 4 r_{1} r_{5} + 7 r_{2} r_{5} + 7 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(543)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5431)}+1s_{(5432)}$


$s_{(5321)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 88 r_{1} r_{2} r_{3} r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 52 r_{1} r_{2} r_{4}^2 + 26 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 7 r_{1}^3 r_{5} + 21 r_{1}^2 r_{2} r_{5} + 21 r_{1} r_{2}^2 r_{5} + 7 r_{2}^3 r_{5} + 26 r_{1}^2 r_{3} r_{5} + 52 r_{1} r_{2} r_{3} r_{5} + 26 r_{2}^2 r_{3} r_{5} + 31 r_{1} r_{3}^2 r_{5} + 31 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 31 r_{1}^2 r_{4} r_{5} + 62 r_{1} r_{2} r_{4} r_{5} + 31 r_{2}^2 r_{4} r_{5} + 75 r_{1} r_{3} r_{4} r_{5} + 75 r_{2} r_{3} r_{4} r_{5} + 44 r_{3}^2 r_{4} r_{5} + 44 r_{1} r_{4}^2 r_{5} + 44 r_{2} r_{4}^2 r_{5} + 52 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 18 r_{1} r_{2} r_{5}^2 + 9 r_{2}^2 r_{5}^2 + 22 r_{1} r_{3} r_{5}^2 + 22 r_{2} r_{3} r_{5}^2 + 13 r_{3}^2 r_{5}^2 + 26 r_{1} r_{4} r_{5}^2 + 26 r_{2} r_{4} r_{5}^2 + 31 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 5 r_{2} r_{5}^3 + 6 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5321)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 24 r_{1} r_{2}^2 + 14 r_{2}^3 + 16 r_{1}^2 r_{3} + 48 r_{1} r_{2} r_{3} + 42 r_{2}^2 r_{3} + 24 r_{1} r_{3}^2 + 42 r_{2} r_{3}^2 + 14 r_{3}^3 + 20 r_{1}^2 r_{4} + 60 r_{1} r_{2} r_{4} + 52 r_{2}^2 r_{4} + 60 r_{1} r_{3} r_{4} + 104 r_{2} r_{3} r_{4} + 52 r_{3}^2 r_{4} + 36 r_{1} r_{4}^2 + 62 r_{2} r_{4}^2 + 62 r_{3} r_{4}^2 + 24 r_{4}^3 + 12 r_{1}^2 r_{5} + 36 r_{1} r_{2} r_{5} + 31 r_{2}^2 r_{5} + 36 r_{1} r_{3} r_{5} + 62 r_{2} r_{3} r_{5} + 31 r_{3}^2 r_{5} + 44 r_{1} r_{4} r_{5} + 75 r_{2} r_{4} r_{5} + 75 r_{3} r_{4} r_{5} + 44 r_{4}^2 r_{5} + 13 r_{1} r_{5}^2 + 22 r_{2} r_{5}^2 + 22 r_{3} r_{5}^2 + 26 r_{4} r_{5}^2 + 5 r_{5}^3]s_{(5421)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 8 r_{1} r_{5} + 13 r_{2} r_{5} + 13 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(5431)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5432)}+1s_{(54321)}$


$s_{(54)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 10 r_{1}^3 r_{3} + 46 r_{1}^2 r_{2} r_{3} + 78 r_{1} r_{2}^2 r_{3} + 52 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 60 r_{1} r_{2} r_{3}^2 + 60 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 60 r_{1} r_{2}^2 r_{4} + 40 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 92 r_{1} r_{2} r_{3} r_{4} + 92 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 64 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 32 r_{1} r_{2} r_{4}^2 + 32 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 44 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 8 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 3 r_{1}^3 r_{5} + 13 r_{1}^2 r_{2} r_{5} + 21 r_{1} r_{2}^2 r_{5} + 14 r_{2}^3 r_{5} + 10 r_{1}^2 r_{3} r_{5} + 32 r_{1} r_{2} r_{3} r_{5} + 32 r_{2}^2 r_{3} r_{5} + 11 r_{1} r_{3}^2 r_{5} + 22 r_{2} r_{3}^2 r_{5} + 4 r_{3}^3 r_{5} + 7 r_{1}^2 r_{4} r_{5} + 22 r_{1} r_{2} r_{4} r_{5} + 22 r_{2}^2 r_{4} r_{5} + 15 r_{1} r_{3} r_{4} r_{5} + 30 r_{2} r_{3} r_{4} r_{5} + 8 r_{3}^2 r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 4 r_{3} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 3 r_{1} r_{2} r_{5}^2 + 3 r_{2}^2 r_{5}^2 + 2 r_{1} r_{3} r_{5}^2 + 4 r_{2} r_{3} r_{5}^2 + r_{3}^2 r_{5}^2 + r_{1} r_{4} r_{5}^2 + 2 r_{2} r_{4} r_{5}^2 + r_{3} r_{4} r_{5}^2]s_{(54)}+[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 8 r_{1}^2 r_{3} + 28 r_{1} r_{2} r_{3} + 28 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 4 r_{3}^3 + 6 r_{1}^2 r_{4} + 20 r_{1} r_{2} r_{4} + 20 r_{2}^2 r_{4} + 14 r_{1} r_{3} r_{4} + 28 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 4 r_{1} r_{4}^2 + 8 r_{2} r_{4}^2 + 4 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 10 r_{2}^2 r_{5} + 7 r_{1} r_{3} r_{5} + 14 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 4 r_{1} r_{4} r_{5} + 8 r_{2} r_{4} r_{5} + 4 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(541)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 12 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(542)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(543)}$


$s_{(541)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 10 r_{1}^3 r_{3} + 46 r_{1}^2 r_{2} r_{3} + 78 r_{1} r_{2}^2 r_{3} + 52 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 60 r_{1} r_{2} r_{3}^2 + 60 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 60 r_{1} r_{2}^2 r_{4} + 40 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 92 r_{1} r_{2} r_{3} r_{4} + 92 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 64 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 32 r_{1} r_{2} r_{4}^2 + 32 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 44 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 8 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 5 r_{1}^3 r_{5} + 23 r_{1}^2 r_{2} r_{5} + 39 r_{1} r_{2}^2 r_{5} + 26 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 60 r_{1} r_{2} r_{3} r_{5} + 60 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 42 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 13 r_{1}^2 r_{4} r_{5} + 42 r_{1} r_{2} r_{4} r_{5} + 42 r_{2}^2 r_{4} r_{5} + 29 r_{1} r_{3} r_{4} r_{5} + 58 r_{2} r_{3} r_{4} r_{5} + 16 r_{3}^2 r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 16 r_{2} r_{4}^2 r_{5} + 8 r_{3} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 13 r_{1} r_{2} r_{5}^2 + 13 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 18 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 10 r_{2} r_{4} r_{5}^2 + 5 r_{3} r_{4} r_{5}^2 + r_{1} r_{5}^3 + 2 r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(541)}+[4 r_{1}^3 + 20 r_{1}^2 r_{2} + 36 r_{1} r_{2}^2 + 24 r_{2}^3 + 16 r_{1}^2 r_{3} + 56 r_{1} r_{2} r_{3} + 56 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 40 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 56 r_{1} r_{2} r_{4} + 56 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 80 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 40 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 28 r_{1} r_{2} r_{5} + 28 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 40 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 40 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 10 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(542)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 12 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5421)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 16 r_{1} r_{3} + 32 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(543)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(5431)}$


$s_{(542)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 10 r_{1}^3 r_{3} + 46 r_{1}^2 r_{2} r_{3} + 78 r_{1} r_{2}^2 r_{3} + 52 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 60 r_{1} r_{2} r_{3}^2 + 60 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 56 r_{1}^2 r_{2} r_{4} + 96 r_{1} r_{2}^2 r_{4} + 64 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 148 r_{1} r_{2} r_{3} r_{4} + 148 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 104 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 88 r_{1} r_{2} r_{4}^2 + 88 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 124 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 48 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 5 r_{1}^3 r_{5} + 23 r_{1}^2 r_{2} r_{5} + 39 r_{1} r_{2}^2 r_{5} + 26 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 60 r_{1} r_{2} r_{3} r_{5} + 60 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 42 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 21 r_{1}^2 r_{4} r_{5} + 70 r_{1} r_{2} r_{4} r_{5} + 70 r_{2}^2 r_{4} r_{5} + 49 r_{1} r_{3} r_{4} r_{5} + 98 r_{2} r_{3} r_{4} r_{5} + 28 r_{3}^2 r_{4} r_{5} + 28 r_{1} r_{4}^2 r_{5} + 56 r_{2} r_{4}^2 r_{5} + 32 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 4 r_{1}^2 r_{5}^2 + 13 r_{1} r_{2} r_{5}^2 + 13 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 18 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 10 r_{1} r_{4} r_{5}^2 + 20 r_{2} r_{4} r_{5}^2 + 11 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + 2 r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(542)}+[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 8 r_{1}^2 r_{3} + 28 r_{1} r_{2} r_{3} + 28 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 4 r_{3}^3 + 10 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 36 r_{2}^2 r_{4} + 26 r_{1} r_{3} r_{4} + 52 r_{2} r_{3} r_{4} + 16 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 32 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 18 r_{1} r_{2} r_{5} + 18 r_{2}^2 r_{5} + 13 r_{1} r_{3} r_{5} + 26 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 32 r_{2} r_{4} r_{5} + 20 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5421)}+[4 r_{1}^3 + 20 r_{1}^2 r_{2} + 36 r_{1} r_{2}^2 + 24 r_{2}^3 + 20 r_{1}^2 r_{3} + 72 r_{1} r_{2} r_{3} + 72 r_{2}^2 r_{3} + 36 r_{1} r_{3}^2 + 72 r_{2} r_{3}^2 + 24 r_{3}^3 + 20 r_{1}^2 r_{4} + 72 r_{1} r_{2} r_{4} + 72 r_{2}^2 r_{4} + 72 r_{1} r_{3} r_{4} + 144 r_{2} r_{3} r_{4} + 72 r_{3}^2 r_{4} + 36 r_{1} r_{4}^2 + 72 r_{2} r_{4}^2 + 72 r_{3} r_{4}^2 + 24 r_{4}^3 + 8 r_{1}^2 r_{5} + 28 r_{1} r_{2} r_{5} + 28 r_{2}^2 r_{5} + 28 r_{1} r_{3} r_{5} + 56 r_{2} r_{3} r_{5} + 28 r_{3}^2 r_{5} + 28 r_{1} r_{4} r_{5} + 56 r_{2} r_{4} r_{5} + 56 r_{3} r_{4} r_{5} + 28 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 10 r_{2} r_{5}^2 + 10 r_{3} r_{5}^2 + 10 r_{4} r_{5}^2 + r_{5}^3]s_{(543)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 16 r_{1} r_{3} + 32 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(5431)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(5432)}$


$s_{(5421)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 10 r_{1}^3 r_{3} + 46 r_{1}^2 r_{2} r_{3} + 78 r_{1} r_{2}^2 r_{3} + 52 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 60 r_{1} r_{2} r_{3}^2 + 60 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 56 r_{1}^2 r_{2} r_{4} + 96 r_{1} r_{2}^2 r_{4} + 64 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 148 r_{1} r_{2} r_{3} r_{4} + 148 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 104 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 88 r_{1} r_{2} r_{4}^2 + 88 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 124 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 48 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 7 r_{1}^3 r_{5} + 33 r_{1}^2 r_{2} r_{5} + 57 r_{1} r_{2}^2 r_{5} + 38 r_{2}^3 r_{5} + 26 r_{1}^2 r_{3} r_{5} + 88 r_{1} r_{2} r_{3} r_{5} + 88 r_{2}^2 r_{3} r_{5} + 31 r_{1} r_{3}^2 r_{5} + 62 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 31 r_{1}^2 r_{4} r_{5} + 106 r_{1} r_{2} r_{4} r_{5} + 106 r_{2}^2 r_{4} r_{5} + 75 r_{1} r_{3} r_{4} r_{5} + 150 r_{2} r_{3} r_{4} r_{5} + 44 r_{3}^2 r_{4} r_{5} + 44 r_{1} r_{4}^2 r_{5} + 88 r_{2} r_{4}^2 r_{5} + 52 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 31 r_{1} r_{2} r_{5}^2 + 31 r_{2}^2 r_{5}^2 + 22 r_{1} r_{3} r_{5}^2 + 44 r_{2} r_{3} r_{5}^2 + 13 r_{3}^2 r_{5}^2 + 26 r_{1} r_{4} r_{5}^2 + 52 r_{2} r_{4} r_{5}^2 + 31 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 10 r_{2} r_{5}^3 + 6 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5421)}+[4 r_{1}^3 + 20 r_{1}^2 r_{2} + 36 r_{1} r_{2}^2 + 24 r_{2}^3 + 20 r_{1}^2 r_{3} + 72 r_{1} r_{2} r_{3} + 72 r_{2}^2 r_{3} + 36 r_{1} r_{3}^2 + 72 r_{2} r_{3}^2 + 24 r_{3}^3 + 20 r_{1}^2 r_{4} + 72 r_{1} r_{2} r_{4} + 72 r_{2}^2 r_{4} + 72 r_{1} r_{3} r_{4} + 144 r_{2} r_{3} r_{4} + 72 r_{3}^2 r_{4} + 36 r_{1} r_{4}^2 + 72 r_{2} r_{4}^2 + 72 r_{3} r_{4}^2 + 24 r_{4}^3 + 12 r_{1}^2 r_{5} + 44 r_{1} r_{2} r_{5} + 44 r_{2}^2 r_{5} + 44 r_{1} r_{3} r_{5} + 88 r_{2} r_{3} r_{5} + 44 r_{3}^2 r_{5} + 44 r_{1} r_{4} r_{5} + 88 r_{2} r_{4} r_{5} + 88 r_{3} r_{4} r_{5} + 44 r_{4}^2 r_{5} + 13 r_{1} r_{5}^2 + 26 r_{2} r_{5}^2 + 26 r_{3} r_{5}^2 + 26 r_{4} r_{5}^2 + 5 r_{5}^3]s_{(5431)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 16 r_{1} r_{3} + 32 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(5432)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(54321)}$


$s_{(543)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 14 r_{1}^3 r_{3} + 66 r_{1}^2 r_{2} r_{3} + 114 r_{1} r_{2}^2 r_{3} + 76 r_{2}^3 r_{3} + 38 r_{1}^2 r_{3}^2 + 132 r_{1} r_{2} r_{3}^2 + 132 r_{2}^2 r_{3}^2 + 50 r_{1} r_{3}^3 + 100 r_{2} r_{3}^3 + 28 r_{3}^4 + 12 r_{1}^3 r_{4} + 56 r_{1}^2 r_{2} r_{4} + 96 r_{1} r_{2}^2 r_{4} + 64 r_{2}^3 r_{4} + 64 r_{1}^2 r_{3} r_{4} + 220 r_{1} r_{2} r_{3} r_{4} + 220 r_{2}^2 r_{3} r_{4} + 124 r_{1} r_{3}^2 r_{4} + 248 r_{2} r_{3}^2 r_{4} + 92 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 88 r_{1} r_{2} r_{4}^2 + 88 r_{2}^2 r_{4}^2 + 98 r_{1} r_{3} r_{4}^2 + 196 r_{2} r_{3} r_{4}^2 + 108 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 48 r_{2} r_{4}^3 + 52 r_{3} r_{4}^3 + 8 r_{4}^4 + 5 r_{1}^3 r_{5} + 23 r_{1}^2 r_{2} r_{5} + 39 r_{1} r_{2}^2 r_{5} + 26 r_{2}^3 r_{5} + 26 r_{1}^2 r_{3} r_{5} + 88 r_{1} r_{2} r_{3} r_{5} + 88 r_{2}^2 r_{3} r_{5} + 49 r_{1} r_{3}^2 r_{5} + 98 r_{2} r_{3}^2 r_{5} + 36 r_{3}^3 r_{5} + 21 r_{1}^2 r_{4} r_{5} + 70 r_{1} r_{2} r_{4} r_{5} + 70 r_{2}^2 r_{4} r_{5} + 77 r_{1} r_{3} r_{4} r_{5} + 154 r_{2} r_{3} r_{4} r_{5} + 84 r_{3}^2 r_{4} r_{5} + 28 r_{1} r_{4}^2 r_{5} + 56 r_{2} r_{4}^2 r_{5} + 60 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 4 r_{1}^2 r_{5}^2 + 13 r_{1} r_{2} r_{5}^2 + 13 r_{2}^2 r_{5}^2 + 14 r_{1} r_{3} r_{5}^2 + 28 r_{2} r_{3} r_{5}^2 + 15 r_{3}^2 r_{5}^2 + 10 r_{1} r_{4} r_{5}^2 + 20 r_{2} r_{4} r_{5}^2 + 21 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + 2 r_{2} r_{5}^3 + 2 r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(543)}+[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 12 r_{1}^2 r_{3} + 44 r_{1} r_{2} r_{3} + 44 r_{2}^2 r_{3} + 26 r_{1} r_{3}^2 + 52 r_{2} r_{3}^2 + 20 r_{3}^3 + 10 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 36 r_{2}^2 r_{4} + 42 r_{1} r_{3} r_{4} + 84 r_{2} r_{3} r_{4} + 48 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 32 r_{2} r_{4}^2 + 36 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 18 r_{1} r_{2} r_{5} + 18 r_{2}^2 r_{5} + 21 r_{1} r_{3} r_{5} + 42 r_{2} r_{3} r_{5} + 24 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 32 r_{2} r_{4} r_{5} + 36 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 9 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5431)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 12 r_{3}^2 + 10 r_{1} r_{4} + 20 r_{2} r_{4} + 24 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 12 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(5432)}$


$s_{(5431)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 14 r_{1}^3 r_{3} + 66 r_{1}^2 r_{2} r_{3} + 114 r_{1} r_{2}^2 r_{3} + 76 r_{2}^3 r_{3} + 38 r_{1}^2 r_{3}^2 + 132 r_{1} r_{2} r_{3}^2 + 132 r_{2}^2 r_{3}^2 + 50 r_{1} r_{3}^3 + 100 r_{2} r_{3}^3 + 28 r_{3}^4 + 12 r_{1}^3 r_{4} + 56 r_{1}^2 r_{2} r_{4} + 96 r_{1} r_{2}^2 r_{4} + 64 r_{2}^3 r_{4} + 64 r_{1}^2 r_{3} r_{4} + 220 r_{1} r_{2} r_{3} r_{4} + 220 r_{2}^2 r_{3} r_{4} + 124 r_{1} r_{3}^2 r_{4} + 248 r_{2} r_{3}^2 r_{4} + 92 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 88 r_{1} r_{2} r_{4}^2 + 88 r_{2}^2 r_{4}^2 + 98 r_{1} r_{3} r_{4}^2 + 196 r_{2} r_{3} r_{4}^2 + 108 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 48 r_{2} r_{4}^3 + 52 r_{3} r_{4}^3 + 8 r_{4}^4 + 7 r_{1}^3 r_{5} + 33 r_{1}^2 r_{2} r_{5} + 57 r_{1} r_{2}^2 r_{5} + 38 r_{2}^3 r_{5} + 38 r_{1}^2 r_{3} r_{5} + 132 r_{1} r_{2} r_{3} r_{5} + 132 r_{2}^2 r_{3} r_{5} + 75 r_{1} r_{3}^2 r_{5} + 150 r_{2} r_{3}^2 r_{5} + 56 r_{3}^3 r_{5} + 31 r_{1}^2 r_{4} r_{5} + 106 r_{1} r_{2} r_{4} r_{5} + 106 r_{2}^2 r_{4} r_{5} + 119 r_{1} r_{3} r_{4} r_{5} + 238 r_{2} r_{3} r_{4} r_{5} + 132 r_{3}^2 r_{4} r_{5} + 44 r_{1} r_{4}^2 r_{5} + 88 r_{2} r_{4}^2 r_{5} + 96 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 31 r_{1} r_{2} r_{5}^2 + 31 r_{2}^2 r_{5}^2 + 35 r_{1} r_{3} r_{5}^2 + 70 r_{2} r_{3} r_{5}^2 + 39 r_{3}^2 r_{5}^2 + 26 r_{1} r_{4} r_{5}^2 + 52 r_{2} r_{4} r_{5}^2 + 57 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 10 r_{2} r_{5}^3 + 11 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5431)}+[4 r_{1}^3 + 20 r_{1}^2 r_{2} + 36 r_{1} r_{2}^2 + 24 r_{2}^3 + 24 r_{1}^2 r_{3} + 88 r_{1} r_{2} r_{3} + 88 r_{2}^2 r_{3} + 52 r_{1} r_{3}^2 + 104 r_{2} r_{3}^2 + 40 r_{3}^3 + 24 r_{1}^2 r_{4} + 88 r_{1} r_{2} r_{4} + 88 r_{2}^2 r_{4} + 104 r_{1} r_{3} r_{4} + 208 r_{2} r_{3} r_{4} + 120 r_{3}^2 r_{4} + 52 r_{1} r_{4}^2 + 104 r_{2} r_{4}^2 + 120 r_{3} r_{4}^2 + 40 r_{4}^3 + 12 r_{1}^2 r_{5} + 44 r_{1} r_{2} r_{5} + 44 r_{2}^2 r_{5} + 52 r_{1} r_{3} r_{5} + 104 r_{2} r_{3} r_{5} + 60 r_{3}^2 r_{5} + 52 r_{1} r_{4} r_{5} + 104 r_{2} r_{4} r_{5} + 120 r_{3} r_{4} r_{5} + 60 r_{4}^2 r_{5} + 13 r_{1} r_{5}^2 + 26 r_{2} r_{5}^2 + 30 r_{3} r_{5}^2 + 30 r_{4} r_{5}^2 + 5 r_{5}^3]s_{(5432)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 12 r_{3}^2 + 10 r_{1} r_{4} + 20 r_{2} r_{4} + 24 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 12 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(54321)}$


$s_{(5432)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 14 r_{1}^3 r_{3} + 66 r_{1}^2 r_{2} r_{3} + 114 r_{1} r_{2}^2 r_{3} + 76 r_{2}^3 r_{3} + 38 r_{1}^2 r_{3}^2 + 132 r_{1} r_{2} r_{3}^2 + 132 r_{2}^2 r_{3}^2 + 50 r_{1} r_{3}^3 + 100 r_{2} r_{3}^3 + 28 r_{3}^4 + 16 r_{1}^3 r_{4} + 76 r_{1}^2 r_{2} r_{4} + 132 r_{1} r_{2}^2 r_{4} + 88 r_{2}^3 r_{4} + 88 r_{1}^2 r_{3} r_{4} + 308 r_{1} r_{2} r_{3} r_{4} + 308 r_{2}^2 r_{3} r_{4} + 176 r_{1} r_{3}^2 r_{4} + 352 r_{2} r_{3}^2 r_{4} + 132 r_{3}^3 r_{4} + 50 r_{1}^2 r_{4}^2 + 176 r_{1} r_{2} r_{4}^2 + 176 r_{2}^2 r_{4}^2 + 202 r_{1} r_{3} r_{4}^2 + 404 r_{2} r_{3} r_{4}^2 + 228 r_{3}^2 r_{4}^2 + 76 r_{1} r_{4}^3 + 152 r_{2} r_{4}^3 + 172 r_{3} r_{4}^3 + 48 r_{4}^4 + 7 r_{1}^3 r_{5} + 33 r_{1}^2 r_{2} r_{5} + 57 r_{1} r_{2}^2 r_{5} + 38 r_{2}^3 r_{5} + 38 r_{1}^2 r_{3} r_{5} + 132 r_{1} r_{2} r_{3} r_{5} + 132 r_{2}^2 r_{3} r_{5} + 75 r_{1} r_{3}^2 r_{5} + 150 r_{2} r_{3}^2 r_{5} + 56 r_{3}^3 r_{5} + 43 r_{1}^2 r_{4} r_{5} + 150 r_{1} r_{2} r_{4} r_{5} + 150 r_{2}^2 r_{4} r_{5} + 171 r_{1} r_{3} r_{4} r_{5} + 342 r_{2} r_{3} r_{4} r_{5} + 192 r_{3}^2 r_{4} r_{5} + 96 r_{1} r_{4}^2 r_{5} + 192 r_{2} r_{4}^2 r_{5} + 216 r_{3} r_{4}^2 r_{5} + 80 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 31 r_{1} r_{2} r_{5}^2 + 31 r_{2}^2 r_{5}^2 + 35 r_{1} r_{3} r_{5}^2 + 70 r_{2} r_{3} r_{5}^2 + 39 r_{3}^2 r_{5}^2 + 39 r_{1} r_{4} r_{5}^2 + 78 r_{2} r_{4} r_{5}^2 + 87 r_{3} r_{4} r_{5}^2 + 48 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 10 r_{2} r_{5}^3 + 11 r_{3} r_{5}^3 + 12 r_{4} r_{5}^3 + r_{5}^4]s_{(5432)}+[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 12 r_{1}^2 r_{3} + 44 r_{1} r_{2} r_{3} + 44 r_{2}^2 r_{3} + 26 r_{1} r_{3}^2 + 52 r_{2} r_{3}^2 + 20 r_{3}^3 + 14 r_{1}^2 r_{4} + 52 r_{1} r_{2} r_{4} + 52 r_{2}^2 r_{4} + 62 r_{1} r_{3} r_{4} + 124 r_{2} r_{3} r_{4} + 72 r_{3}^2 r_{4} + 36 r_{1} r_{4}^2 + 72 r_{2} r_{4}^2 + 84 r_{3} r_{4}^2 + 32 r_{4}^3 + 7 r_{1}^2 r_{5} + 26 r_{1} r_{2} r_{5} + 26 r_{2}^2 r_{5} + 31 r_{1} r_{3} r_{5} + 62 r_{2} r_{3} r_{5} + 36 r_{3}^2 r_{5} + 36 r_{1} r_{4} r_{5} + 72 r_{2} r_{4} r_{5} + 84 r_{3} r_{4} r_{5} + 48 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 18 r_{2} r_{5}^2 + 21 r_{3} r_{5}^2 + 24 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(54321)}$


$s_{(54321)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 14 r_{1}^3 r_{3} + 66 r_{1}^2 r_{2} r_{3} + 114 r_{1} r_{2}^2 r_{3} + 76 r_{2}^3 r_{3} + 38 r_{1}^2 r_{3}^2 + 132 r_{1} r_{2} r_{3}^2 + 132 r_{2}^2 r_{3}^2 + 50 r_{1} r_{3}^3 + 100 r_{2} r_{3}^3 + 28 r_{3}^4 + 16 r_{1}^3 r_{4} + 76 r_{1}^2 r_{2} r_{4} + 132 r_{1} r_{2}^2 r_{4} + 88 r_{2}^3 r_{4} + 88 r_{1}^2 r_{3} r_{4} + 308 r_{1} r_{2} r_{3} r_{4} + 308 r_{2}^2 r_{3} r_{4} + 176 r_{1} r_{3}^2 r_{4} + 352 r_{2} r_{3}^2 r_{4} + 132 r_{3}^3 r_{4} + 50 r_{1}^2 r_{4}^2 + 176 r_{1} r_{2} r_{4}^2 + 176 r_{2}^2 r_{4}^2 + 202 r_{1} r_{3} r_{4}^2 + 404 r_{2} r_{3} r_{4}^2 + 228 r_{3}^2 r_{4}^2 + 76 r_{1} r_{4}^3 + 152 r_{2} r_{4}^3 + 172 r_{3} r_{4}^3 + 48 r_{4}^4 + 9 r_{1}^3 r_{5} + 43 r_{1}^2 r_{2} r_{5} + 75 r_{1} r_{2}^2 r_{5} + 50 r_{2}^3 r_{5} + 50 r_{1}^2 r_{3} r_{5} + 176 r_{1} r_{2} r_{3} r_{5} + 176 r_{2}^2 r_{3} r_{5} + 101 r_{1} r_{3}^2 r_{5} + 202 r_{2} r_{3}^2 r_{5} + 76 r_{3}^3 r_{5} + 57 r_{1}^2 r_{4} r_{5} + 202 r_{1} r_{2} r_{4} r_{5} + 202 r_{2}^2 r_{4} r_{5} + 233 r_{1} r_{3} r_{4} r_{5} + 466 r_{2} r_{3} r_{4} r_{5} + 264 r_{3}^2 r_{4} r_{5} + 132 r_{1} r_{4}^2 r_{5} + 264 r_{2} r_{4}^2 r_{5} + 300 r_{3} r_{4}^2 r_{5} + 112 r_{4}^3 r_{5} + 16 r_{1}^2 r_{5}^2 + 57 r_{1} r_{2} r_{5}^2 + 57 r_{2}^2 r_{5}^2 + 66 r_{1} r_{3} r_{5}^2 + 132 r_{2} r_{3} r_{5}^2 + 75 r_{3}^2 r_{5}^2 + 75 r_{1} r_{4} r_{5}^2 + 150 r_{2} r_{4} r_{5}^2 + 171 r_{3} r_{4} r_{5}^2 + 96 r_{4}^2 r_{5}^2 + 14 r_{1} r_{5}^3 + 28 r_{2} r_{5}^3 + 32 r_{3} r_{5}^3 + 36 r_{4} r_{5}^3 + 5 r_{5}^4]s_{(54321)}$


$s_{(1)}\cdot s_{(5)}=[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5)}+1s_{(51)}$


$s_{(2)}\cdot s_{(5)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(5)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(51)}+1s_{(52)}$


$s_{(21)}\cdot s_{(5)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(51)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(52)}+1s_{(521)}$


$s_{(3)}\cdot s_{(5)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{1}^2 r_{5} + 2 r_{1} r_{2} r_{5} + r_{2}^2 r_{5} + 2 r_{1} r_{3} r_{5} + 2 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{1} r_{4} r_{5} + r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{1} r_{4} + 2 r_{2} r_{4} + 2 r_{3} r_{4} + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5}]s_{(51)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(52)}+1s_{(53)}$


$s_{(31)}\cdot s_{(5)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{1} r_{4} r_{5} + 3 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(521)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(53)}+1s_{(531)}$


$s_{(32)}\cdot s_{(5)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 7 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(521)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(53)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(531)}+1s_{(532)}$


$s_{(321)}\cdot s_{(5)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 10 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 13 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(521)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(531)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(532)}+1s_{(5321)}$


$s_{(4)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 4 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 4 r_{2}^3 r_{4} + 8 r_{1}^2 r_{3} r_{4} + 16 r_{1} r_{2} r_{3} r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{1} r_{3}^2 r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 2 r_{2}^2 r_{4}^2 + 2 r_{1} r_{3} r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + r_{1}^3 r_{5} + 3 r_{1}^2 r_{2} r_{5} + 3 r_{1} r_{2}^2 r_{5} + r_{2}^3 r_{5} + 2 r_{1}^2 r_{3} r_{5} + 4 r_{1} r_{2} r_{3} r_{5} + 2 r_{2}^2 r_{3} r_{5} + r_{1} r_{3}^2 r_{5} + r_{2} r_{3}^2 r_{5} + r_{1}^2 r_{4} r_{5} + 2 r_{1} r_{2} r_{4} r_{5} + r_{2}^2 r_{4} r_{5} + r_{1} r_{3} r_{4} r_{5} + r_{2} r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 4 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{2}^2 r_{3} + 2 r_{1} r_{3}^2 + 2 r_{2} r_{3}^2 + 2 r_{1}^2 r_{4} + 4 r_{1} r_{2} r_{4} + 2 r_{2}^2 r_{4} + 2 r_{1} r_{3} r_{4} + 2 r_{2} r_{3} r_{4} + r_{1}^2 r_{5} + 2 r_{1} r_{2} r_{5} + r_{2}^2 r_{5} + r_{1} r_{3} r_{5} + r_{2} r_{3} r_{5}]s_{(51)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 2 r_{1} r_{3} + 2 r_{2} r_{3} + 2 r_{1} r_{4} + 2 r_{2} r_{4} + r_{1} r_{5} + r_{2} r_{5}]s_{(52)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(53)}+1s_{(54)}$


$s_{(41)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 4 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 4 r_{2}^3 r_{4} + 8 r_{1}^2 r_{3} r_{4} + 16 r_{1} r_{2} r_{3} r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{1} r_{3}^2 r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 2 r_{2}^2 r_{4}^2 + 2 r_{1} r_{3} r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 6 r_{1}^2 r_{3} r_{5} + 12 r_{1} r_{2} r_{3} r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{1} r_{3}^2 r_{5} + 3 r_{2} r_{3}^2 r_{5} + 3 r_{1}^2 r_{4} r_{5} + 6 r_{1} r_{2} r_{4} r_{5} + 3 r_{2}^2 r_{4} r_{5} + 3 r_{1} r_{3} r_{4} r_{5} + 3 r_{2} r_{3} r_{4} r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{2} r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 4 r_{1} r_{3}^2 + 4 r_{2} r_{3}^2 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(52)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 2 r_{1} r_{3} + 2 r_{2} r_{3} + 2 r_{1} r_{4} + 2 r_{2} r_{4} + r_{1} r_{5} + r_{2} r_{5}]s_{(521)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(53)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(531)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(54)}+1s_{(541)}$


$s_{(42)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 16 r_{1}^2 r_{3} r_{4} + 32 r_{1} r_{2} r_{3} r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 10 r_{1} r_{3} r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 6 r_{1}^2 r_{3} r_{5} + 12 r_{1} r_{2} r_{3} r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{1} r_{3}^2 r_{5} + 3 r_{2} r_{3}^2 r_{5} + 7 r_{1}^2 r_{4} r_{5} + 14 r_{1} r_{2} r_{4} r_{5} + 7 r_{2}^2 r_{4} r_{5} + 7 r_{1} r_{3} r_{4} r_{5} + 7 r_{2} r_{3} r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 4 r_{2} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{2} r_{3} r_{5}^2 + r_{1} r_{4} r_{5}^2 + r_{2} r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 4 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{2}^2 r_{3} + 2 r_{1} r_{3}^2 + 2 r_{2} r_{3}^2 + 6 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 6 r_{2}^2 r_{4} + 6 r_{1} r_{3} r_{4} + 6 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 3 r_{1} r_{3} r_{5} + 3 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(521)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 8 r_{1} r_{3} r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 8 r_{1} r_{4} r_{5} + 8 r_{2} r_{4} r_{5} + 8 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(53)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(531)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(532)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(54)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(541)}+1s_{(542)}$


$s_{(421)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 16 r_{1}^2 r_{3} r_{4} + 32 r_{1} r_{2} r_{3} r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 10 r_{1} r_{3} r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 10 r_{1}^2 r_{3} r_{5} + 20 r_{1} r_{2} r_{3} r_{5} + 10 r_{2}^2 r_{3} r_{5} + 5 r_{1} r_{3}^2 r_{5} + 5 r_{2} r_{3}^2 r_{5} + 13 r_{1}^2 r_{4} r_{5} + 26 r_{1} r_{2} r_{4} r_{5} + 13 r_{2}^2 r_{4} r_{5} + 13 r_{1} r_{3} r_{4} r_{5} + 13 r_{2} r_{3} r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 4 r_{1} r_{3} r_{5}^2 + 4 r_{2} r_{3} r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3]s_{(521)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 16 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(531)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(532)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5321)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(541)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(542)}+1s_{(5421)}$


$s_{(43)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 56 r_{1} r_{2} r_{3} r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 10 r_{1}^2 r_{3} r_{5} + 20 r_{1} r_{2} r_{3} r_{5} + 10 r_{2}^2 r_{3} r_{5} + 11 r_{1} r_{3}^2 r_{5} + 11 r_{2} r_{3}^2 r_{5} + 4 r_{3}^3 r_{5} + 7 r_{1}^2 r_{4} r_{5} + 14 r_{1} r_{2} r_{4} r_{5} + 7 r_{2}^2 r_{4} r_{5} + 15 r_{1} r_{3} r_{4} r_{5} + 15 r_{2} r_{3} r_{4} r_{5} + 8 r_{3}^2 r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 4 r_{2} r_{4}^2 r_{5} + 4 r_{3} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + 2 r_{1} r_{3} r_{5}^2 + 2 r_{2} r_{3} r_{5}^2 + r_{3}^2 r_{5}^2 + r_{1} r_{4} r_{5}^2 + r_{2} r_{4} r_{5}^2 + r_{3} r_{4} r_{5}^2]s_{(53)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 6 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 6 r_{2}^2 r_{4} + 14 r_{1} r_{3} r_{4} + 14 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 4 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 7 r_{1} r_{3} r_{5} + 7 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + 4 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(531)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 6 r_{1} r_{3} + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(532)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{1}^2 r_{5} + 2 r_{1} r_{2} r_{5} + r_{2}^2 r_{5} + 2 r_{1} r_{3} r_{5} + 2 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{1} r_{4} r_{5} + r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(54)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{1} r_{4} + 2 r_{2} r_{4} + 2 r_{3} r_{4} + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5}]s_{(541)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(542)}+1s_{(543)}$


$s_{(431)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 56 r_{1} r_{2} r_{3} r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 36 r_{1} r_{2} r_{3} r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 13 r_{1}^2 r_{4} r_{5} + 26 r_{1} r_{2} r_{4} r_{5} + 13 r_{2}^2 r_{4} r_{5} + 29 r_{1} r_{3} r_{4} r_{5} + 29 r_{2} r_{3} r_{4} r_{5} + 16 r_{3}^2 r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 8 r_{3} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + 5 r_{3} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(531)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 16 r_{1}^2 r_{3} + 32 r_{1} r_{2} r_{3} + 16 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 32 r_{1} r_{2} r_{4} + 16 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 40 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 20 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(532)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 6 r_{1} r_{3} + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5321)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{1} r_{4} r_{5} + 3 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(541)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(542)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5421)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(543)}+1s_{(5431)}$


$s_{(432)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 88 r_{1} r_{2} r_{3} r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 52 r_{1} r_{2} r_{4}^2 + 26 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 36 r_{1} r_{2} r_{3} r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 21 r_{1}^2 r_{4} r_{5} + 42 r_{1} r_{2} r_{4} r_{5} + 21 r_{2}^2 r_{4} r_{5} + 49 r_{1} r_{3} r_{4} r_{5} + 49 r_{2} r_{3} r_{4} r_{5} + 28 r_{3}^2 r_{4} r_{5} + 28 r_{1} r_{4}^2 r_{5} + 28 r_{2} r_{4}^2 r_{5} + 32 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 10 r_{1} r_{4} r_{5}^2 + 10 r_{2} r_{4} r_{5}^2 + 11 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(532)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 10 r_{1}^2 r_{4} + 20 r_{1} r_{2} r_{4} + 10 r_{2}^2 r_{4} + 26 r_{1} r_{3} r_{4} + 26 r_{2} r_{3} r_{4} + 16 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 16 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 13 r_{1} r_{3} r_{5} + 13 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 20 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5321)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 7 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(542)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5421)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(543)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5431)}+1s_{(5432)}$


$s_{(4321)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 88 r_{1} r_{2} r_{3} r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 52 r_{1} r_{2} r_{4}^2 + 26 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 7 r_{1}^3 r_{5} + 21 r_{1}^2 r_{2} r_{5} + 21 r_{1} r_{2}^2 r_{5} + 7 r_{2}^3 r_{5} + 26 r_{1}^2 r_{3} r_{5} + 52 r_{1} r_{2} r_{3} r_{5} + 26 r_{2}^2 r_{3} r_{5} + 31 r_{1} r_{3}^2 r_{5} + 31 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 31 r_{1}^2 r_{4} r_{5} + 62 r_{1} r_{2} r_{4} r_{5} + 31 r_{2}^2 r_{4} r_{5} + 75 r_{1} r_{3} r_{4} r_{5} + 75 r_{2} r_{3} r_{4} r_{5} + 44 r_{3}^2 r_{4} r_{5} + 44 r_{1} r_{4}^2 r_{5} + 44 r_{2} r_{4}^2 r_{5} + 52 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 18 r_{1} r_{2} r_{5}^2 + 9 r_{2}^2 r_{5}^2 + 22 r_{1} r_{3} r_{5}^2 + 22 r_{2} r_{3} r_{5}^2 + 13 r_{3}^2 r_{5}^2 + 26 r_{1} r_{4} r_{5}^2 + 26 r_{2} r_{4} r_{5}^2 + 31 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 5 r_{2} r_{5}^3 + 6 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5321)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 10 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 13 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(5421)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(5431)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5432)}+1s_{(54321)}$


$s_{(5)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 6 r_{1}^4 r_{3} + 18 r_{1}^3 r_{2} r_{3} + 18 r_{1}^2 r_{2}^2 r_{3} + 6 r_{1} r_{2}^3 r_{3} + 6 r_{1}^3 r_{3}^2 + 12 r_{1}^2 r_{2} r_{3}^2 + 6 r_{1} r_{2}^2 r_{3}^2 + 2 r_{1}^2 r_{3}^3 + 2 r_{1} r_{2} r_{3}^3 + 4 r_{1}^4 r_{4} + 12 r_{1}^3 r_{2} r_{4} + 12 r_{1}^2 r_{2}^2 r_{4} + 4 r_{1} r_{2}^3 r_{4} + 8 r_{1}^3 r_{3} r_{4} + 16 r_{1}^2 r_{2} r_{3} r_{4} + 8 r_{1} r_{2}^2 r_{3} r_{4} + 4 r_{1}^2 r_{3}^2 r_{4} + 4 r_{1} r_{2} r_{3}^2 r_{4} + 2 r_{1}^3 r_{4}^2 + 4 r_{1}^2 r_{2} r_{4}^2 + 2 r_{1} r_{2}^2 r_{4}^2 + 2 r_{1}^2 r_{3} r_{4}^2 + 2 r_{1} r_{2} r_{3} r_{4}^2 + r_{1}^4 r_{5} + 3 r_{1}^3 r_{2} r_{5} + 3 r_{1}^2 r_{2}^2 r_{5} + r_{1} r_{2}^3 r_{5} + 2 r_{1}^3 r_{3} r_{5} + 4 r_{1}^2 r_{2} r_{3} r_{5} + 2 r_{1} r_{2}^2 r_{3} r_{5} + r_{1}^2 r_{3}^2 r_{5} + r_{1} r_{2} r_{3}^2 r_{5} + r_{1}^3 r_{4} r_{5} + 2 r_{1}^2 r_{2} r_{4} r_{5} + r_{1} r_{2}^2 r_{4} r_{5} + r_{1}^2 r_{3} r_{4} r_{5} + r_{1} r_{2} r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^4 + 6 r_{1}^3 r_{2} + 6 r_{1}^2 r_{2}^2 + 2 r_{1} r_{2}^3 + 4 r_{1}^3 r_{3} + 8 r_{1}^2 r_{2} r_{3} + 4 r_{1} r_{2}^2 r_{3} + 2 r_{1}^2 r_{3}^2 + 2 r_{1} r_{2} r_{3}^2 + 2 r_{1}^3 r_{4} + 4 r_{1}^2 r_{2} r_{4} + 2 r_{1} r_{2}^2 r_{4} + 2 r_{1}^2 r_{3} r_{4} + 2 r_{1} r_{2} r_{3} r_{4} + r_{1}^3 r_{5} + 2 r_{1}^2 r_{2} r_{5} + r_{1} r_{2}^2 r_{5} + r_{1}^2 r_{3} r_{5} + r_{1} r_{2} r_{3} r_{5}]s_{(51)}+[2 r_{1}^3 + 4 r_{1}^2 r_{2} + 2 r_{1} r_{2}^2 + 2 r_{1}^2 r_{3} + 2 r_{1} r_{2} r_{3} + 2 r_{1}^2 r_{4} + 2 r_{1} r_{2} r_{4} + r_{1}^2 r_{5} + r_{1} r_{2} r_{5}]s_{(52)}+[2 r_{1}^2 + 2 r_{1} r_{2} + 2 r_{1} r_{3} + 2 r_{1} r_{4} + r_{1} r_{5}]s_{(53)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(54)}$


$s_{(51)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 6 r_{1}^4 r_{3} + 18 r_{1}^3 r_{2} r_{3} + 18 r_{1}^2 r_{2}^2 r_{3} + 6 r_{1} r_{2}^3 r_{3} + 6 r_{1}^3 r_{3}^2 + 12 r_{1}^2 r_{2} r_{3}^2 + 6 r_{1} r_{2}^2 r_{3}^2 + 2 r_{1}^2 r_{3}^3 + 2 r_{1} r_{2} r_{3}^3 + 4 r_{1}^4 r_{4} + 12 r_{1}^3 r_{2} r_{4} + 12 r_{1}^2 r_{2}^2 r_{4} + 4 r_{1} r_{2}^3 r_{4} + 8 r_{1}^3 r_{3} r_{4} + 16 r_{1}^2 r_{2} r_{3} r_{4} + 8 r_{1} r_{2}^2 r_{3} r_{4} + 4 r_{1}^2 r_{3}^2 r_{4} + 4 r_{1} r_{2} r_{3}^2 r_{4} + 2 r_{1}^3 r_{4}^2 + 4 r_{1}^2 r_{2} r_{4}^2 + 2 r_{1} r_{2}^2 r_{4}^2 + 2 r_{1}^2 r_{3} r_{4}^2 + 2 r_{1} r_{2} r_{3} r_{4}^2 + 3 r_{1}^4 r_{5} + 9 r_{1}^3 r_{2} r_{5} + 9 r_{1}^2 r_{2}^2 r_{5} + 3 r_{1} r_{2}^3 r_{5} + 6 r_{1}^3 r_{3} r_{5} + 12 r_{1}^2 r_{2} r_{3} r_{5} + 6 r_{1} r_{2}^2 r_{3} r_{5} + 3 r_{1}^2 r_{3}^2 r_{5} + 3 r_{1} r_{2} r_{3}^2 r_{5} + 3 r_{1}^3 r_{4} r_{5} + 6 r_{1}^2 r_{2} r_{4} r_{5} + 3 r_{1} r_{2}^2 r_{4} r_{5} + 3 r_{1}^2 r_{3} r_{4} r_{5} + 3 r_{1} r_{2} r_{3} r_{4} r_{5} + r_{1}^3 r_{5}^2 + 2 r_{1}^2 r_{2} r_{5}^2 + r_{1} r_{2}^2 r_{5}^2 + r_{1}^2 r_{3} r_{5}^2 + r_{1} r_{2} r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^4 + 12 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 4 r_{1} r_{2}^3 + 8 r_{1}^3 r_{3} + 16 r_{1}^2 r_{2} r_{3} + 8 r_{1} r_{2}^2 r_{3} + 4 r_{1}^2 r_{3}^2 + 4 r_{1} r_{2} r_{3}^2 + 8 r_{1}^3 r_{4} + 16 r_{1}^2 r_{2} r_{4} + 8 r_{1} r_{2}^2 r_{4} + 8 r_{1}^2 r_{3} r_{4} + 8 r_{1} r_{2} r_{3} r_{4} + 4 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 4 r_{1}^3 r_{5} + 8 r_{1}^2 r_{2} r_{5} + 4 r_{1} r_{2}^2 r_{5} + 4 r_{1}^2 r_{3} r_{5} + 4 r_{1} r_{2} r_{3} r_{5} + 4 r_{1}^2 r_{4} r_{5} + 4 r_{1} r_{2} r_{4} r_{5} + r_{1}^2 r_{5}^2 + r_{1} r_{2} r_{5}^2]s_{(52)}+[2 r_{1}^3 + 4 r_{1}^2 r_{2} + 2 r_{1} r_{2}^2 + 2 r_{1}^2 r_{3} + 2 r_{1} r_{2} r_{3} + 2 r_{1}^2 r_{4} + 2 r_{1} r_{2} r_{4} + r_{1}^2 r_{5} + r_{1} r_{2} r_{5}]s_{(521)}+[4 r_{1}^3 + 8 r_{1}^2 r_{2} + 4 r_{1} r_{2}^2 + 8 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{1} r_{3}^2 + 8 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 8 r_{1} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{1}^2 r_{5} + 4 r_{1} r_{2} r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + r_{1} r_{5}^2]s_{(53)}+[2 r_{1}^2 + 2 r_{1} r_{2} + 2 r_{1} r_{3} + 2 r_{1} r_{4} + r_{1} r_{5}]s_{(531)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(54)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(541)}$


$s_{(52)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 6 r_{1}^4 r_{3} + 18 r_{1}^3 r_{2} r_{3} + 18 r_{1}^2 r_{2}^2 r_{3} + 6 r_{1} r_{2}^3 r_{3} + 6 r_{1}^3 r_{3}^2 + 12 r_{1}^2 r_{2} r_{3}^2 + 6 r_{1} r_{2}^2 r_{3}^2 + 2 r_{1}^2 r_{3}^3 + 2 r_{1} r_{2} r_{3}^3 + 8 r_{1}^4 r_{4} + 24 r_{1}^3 r_{2} r_{4} + 24 r_{1}^2 r_{2}^2 r_{4} + 8 r_{1} r_{2}^3 r_{4} + 16 r_{1}^3 r_{3} r_{4} + 32 r_{1}^2 r_{2} r_{3} r_{4} + 16 r_{1} r_{2}^2 r_{3} r_{4} + 8 r_{1}^2 r_{3}^2 r_{4} + 8 r_{1} r_{2} r_{3}^2 r_{4} + 10 r_{1}^3 r_{4}^2 + 20 r_{1}^2 r_{2} r_{4}^2 + 10 r_{1} r_{2}^2 r_{4}^2 + 10 r_{1}^2 r_{3} r_{4}^2 + 10 r_{1} r_{2} r_{3} r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 4 r_{1} r_{2} r_{4}^3 + 3 r_{1}^4 r_{5} + 9 r_{1}^3 r_{2} r_{5} + 9 r_{1}^2 r_{2}^2 r_{5} + 3 r_{1} r_{2}^3 r_{5} + 6 r_{1}^3 r_{3} r_{5} + 12 r_{1}^2 r_{2} r_{3} r_{5} + 6 r_{1} r_{2}^2 r_{3} r_{5} + 3 r_{1}^2 r_{3}^2 r_{5} + 3 r_{1} r_{2} r_{3}^2 r_{5} + 7 r_{1}^3 r_{4} r_{5} + 14 r_{1}^2 r_{2} r_{4} r_{5} + 7 r_{1} r_{2}^2 r_{4} r_{5} + 7 r_{1}^2 r_{3} r_{4} r_{5} + 7 r_{1} r_{2} r_{3} r_{4} r_{5} + 4 r_{1}^2 r_{4}^2 r_{5} + 4 r_{1} r_{2} r_{4}^2 r_{5} + r_{1}^3 r_{5}^2 + 2 r_{1}^2 r_{2} r_{5}^2 + r_{1} r_{2}^2 r_{5}^2 + r_{1}^2 r_{3} r_{5}^2 + r_{1} r_{2} r_{3} r_{5}^2 + r_{1}^2 r_{4} r_{5}^2 + r_{1} r_{2} r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^4 + 6 r_{1}^3 r_{2} + 6 r_{1}^2 r_{2}^2 + 2 r_{1} r_{2}^3 + 4 r_{1}^3 r_{3} + 8 r_{1}^2 r_{2} r_{3} + 4 r_{1} r_{2}^2 r_{3} + 2 r_{1}^2 r_{3}^2 + 2 r_{1} r_{2} r_{3}^2 + 6 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 6 r_{1} r_{2}^2 r_{4} + 6 r_{1}^2 r_{3} r_{4} + 6 r_{1} r_{2} r_{3} r_{4} + 4 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 3 r_{1}^3 r_{5} + 6 r_{1}^2 r_{2} r_{5} + 3 r_{1} r_{2}^2 r_{5} + 3 r_{1}^2 r_{3} r_{5} + 3 r_{1} r_{2} r_{3} r_{5} + 4 r_{1}^2 r_{4} r_{5} + 4 r_{1} r_{2} r_{4} r_{5} + r_{1}^2 r_{5}^2 + r_{1} r_{2} r_{5}^2]s_{(521)}+[4 r_{1}^4 + 12 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 4 r_{1} r_{2}^3 + 12 r_{1}^3 r_{3} + 24 r_{1}^2 r_{2} r_{3} + 12 r_{1} r_{2}^2 r_{3} + 12 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 4 r_{1} r_{3}^3 + 12 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 24 r_{1}^2 r_{3} r_{4} + 24 r_{1} r_{2} r_{3} r_{4} + 12 r_{1} r_{3}^2 r_{4} + 12 r_{1}^2 r_{4}^2 + 12 r_{1} r_{2} r_{4}^2 + 12 r_{1} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{1}^3 r_{5} + 8 r_{1}^2 r_{2} r_{5} + 4 r_{1} r_{2}^2 r_{5} + 8 r_{1}^2 r_{3} r_{5} + 8 r_{1} r_{2} r_{3} r_{5} + 4 r_{1} r_{3}^2 r_{5} + 8 r_{1}^2 r_{4} r_{5} + 8 r_{1} r_{2} r_{4} r_{5} + 8 r_{1} r_{3} r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + r_{1} r_{2} r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{1} r_{4} r_{5}^2]s_{(53)}+[4 r_{1}^3 + 8 r_{1}^2 r_{2} + 4 r_{1} r_{2}^2 + 8 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{1} r_{3}^2 + 8 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 8 r_{1} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{1}^2 r_{5} + 4 r_{1} r_{2} r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + r_{1} r_{5}^2]s_{(531)}+[2 r_{1}^2 + 2 r_{1} r_{2} + 2 r_{1} r_{3} + 2 r_{1} r_{4} + r_{1} r_{5}]s_{(532)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 8 r_{1} r_{3} r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 8 r_{1} r_{4} r_{5} + 8 r_{2} r_{4} r_{5} + 8 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(54)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(541)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(542)}$


$s_{(521)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 6 r_{1}^4 r_{3} + 18 r_{1}^3 r_{2} r_{3} + 18 r_{1}^2 r_{2}^2 r_{3} + 6 r_{1} r_{2}^3 r_{3} + 6 r_{1}^3 r_{3}^2 + 12 r_{1}^2 r_{2} r_{3}^2 + 6 r_{1} r_{2}^2 r_{3}^2 + 2 r_{1}^2 r_{3}^3 + 2 r_{1} r_{2} r_{3}^3 + 8 r_{1}^4 r_{4} + 24 r_{1}^3 r_{2} r_{4} + 24 r_{1}^2 r_{2}^2 r_{4} + 8 r_{1} r_{2}^3 r_{4} + 16 r_{1}^3 r_{3} r_{4} + 32 r_{1}^2 r_{2} r_{3} r_{4} + 16 r_{1} r_{2}^2 r_{3} r_{4} + 8 r_{1}^2 r_{3}^2 r_{4} + 8 r_{1} r_{2} r_{3}^2 r_{4} + 10 r_{1}^3 r_{4}^2 + 20 r_{1}^2 r_{2} r_{4}^2 + 10 r_{1} r_{2}^2 r_{4}^2 + 10 r_{1}^2 r_{3} r_{4}^2 + 10 r_{1} r_{2} r_{3} r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 4 r_{1} r_{2} r_{4}^3 + 5 r_{1}^4 r_{5} + 15 r_{1}^3 r_{2} r_{5} + 15 r_{1}^2 r_{2}^2 r_{5} + 5 r_{1} r_{2}^3 r_{5} + 10 r_{1}^3 r_{3} r_{5} + 20 r_{1}^2 r_{2} r_{3} r_{5} + 10 r_{1} r_{2}^2 r_{3} r_{5} + 5 r_{1}^2 r_{3}^2 r_{5} + 5 r_{1} r_{2} r_{3}^2 r_{5} + 13 r_{1}^3 r_{4} r_{5} + 26 r_{1}^2 r_{2} r_{4} r_{5} + 13 r_{1} r_{2}^2 r_{4} r_{5} + 13 r_{1}^2 r_{3} r_{4} r_{5} + 13 r_{1} r_{2} r_{3} r_{4} r_{5} + 8 r_{1}^2 r_{4}^2 r_{5} + 8 r_{1} r_{2} r_{4}^2 r_{5} + 4 r_{1}^3 r_{5}^2 + 8 r_{1}^2 r_{2} r_{5}^2 + 4 r_{1} r_{2}^2 r_{5}^2 + 4 r_{1}^2 r_{3} r_{5}^2 + 4 r_{1} r_{2} r_{3} r_{5}^2 + 5 r_{1}^2 r_{4} r_{5}^2 + 5 r_{1} r_{2} r_{4} r_{5}^2 + r_{1}^2 r_{5}^3 + r_{1} r_{2} r_{5}^3]s_{(521)}+[4 r_{1}^4 + 12 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 4 r_{1} r_{2}^3 + 12 r_{1}^3 r_{3} + 24 r_{1}^2 r_{2} r_{3} + 12 r_{1} r_{2}^2 r_{3} + 12 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 4 r_{1} r_{3}^3 + 12 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 24 r_{1}^2 r_{3} r_{4} + 24 r_{1} r_{2} r_{3} r_{4} + 12 r_{1} r_{3}^2 r_{4} + 12 r_{1}^2 r_{4}^2 + 12 r_{1} r_{2} r_{4}^2 + 12 r_{1} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 8 r_{1}^3 r_{5} + 16 r_{1}^2 r_{2} r_{5} + 8 r_{1} r_{2}^2 r_{5} + 16 r_{1}^2 r_{3} r_{5} + 16 r_{1} r_{2} r_{3} r_{5} + 8 r_{1} r_{3}^2 r_{5} + 16 r_{1}^2 r_{4} r_{5} + 16 r_{1} r_{2} r_{4} r_{5} + 16 r_{1} r_{3} r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 5 r_{1}^2 r_{5}^2 + 5 r_{1} r_{2} r_{5}^2 + 5 r_{1} r_{3} r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + r_{1} r_{5}^3]s_{(531)}+[4 r_{1}^3 + 8 r_{1}^2 r_{2} + 4 r_{1} r_{2}^2 + 8 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{1} r_{3}^2 + 8 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 8 r_{1} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{1}^2 r_{5} + 4 r_{1} r_{2} r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + r_{1} r_{5}^2]s_{(532)}+[2 r_{1}^2 + 2 r_{1} r_{2} + 2 r_{1} r_{3} + 2 r_{1} r_{4} + r_{1} r_{5}]s_{(5321)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 16 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(541)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(542)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5421)}$


$s_{(53)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 10 r_{1}^4 r_{3} + 30 r_{1}^3 r_{2} r_{3} + 30 r_{1}^2 r_{2}^2 r_{3} + 10 r_{1} r_{2}^3 r_{3} + 18 r_{1}^3 r_{3}^2 + 36 r_{1}^2 r_{2} r_{3}^2 + 18 r_{1} r_{2}^2 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 14 r_{1} r_{2} r_{3}^3 + 4 r_{1} r_{3}^4 + 8 r_{1}^4 r_{4} + 24 r_{1}^3 r_{2} r_{4} + 24 r_{1}^2 r_{2}^2 r_{4} + 8 r_{1} r_{2}^3 r_{4} + 28 r_{1}^3 r_{3} r_{4} + 56 r_{1}^2 r_{2} r_{3} r_{4} + 28 r_{1} r_{2}^2 r_{3} r_{4} + 32 r_{1}^2 r_{3}^2 r_{4} + 32 r_{1} r_{2} r_{3}^2 r_{4} + 12 r_{1} r_{3}^3 r_{4} + 10 r_{1}^3 r_{4}^2 + 20 r_{1}^2 r_{2} r_{4}^2 + 10 r_{1} r_{2}^2 r_{4}^2 + 22 r_{1}^2 r_{3} r_{4}^2 + 22 r_{1} r_{2} r_{3} r_{4}^2 + 12 r_{1} r_{3}^2 r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 4 r_{1} r_{2} r_{4}^3 + 4 r_{1} r_{3} r_{4}^3 + 3 r_{1}^4 r_{5} + 9 r_{1}^3 r_{2} r_{5} + 9 r_{1}^2 r_{2}^2 r_{5} + 3 r_{1} r_{2}^3 r_{5} + 10 r_{1}^3 r_{3} r_{5} + 20 r_{1}^2 r_{2} r_{3} r_{5} + 10 r_{1} r_{2}^2 r_{3} r_{5} + 11 r_{1}^2 r_{3}^2 r_{5} + 11 r_{1} r_{2} r_{3}^2 r_{5} + 4 r_{1} r_{3}^3 r_{5} + 7 r_{1}^3 r_{4} r_{5} + 14 r_{1}^2 r_{2} r_{4} r_{5} + 7 r_{1} r_{2}^2 r_{4} r_{5} + 15 r_{1}^2 r_{3} r_{4} r_{5} + 15 r_{1} r_{2} r_{3} r_{4} r_{5} + 8 r_{1} r_{3}^2 r_{4} r_{5} + 4 r_{1}^2 r_{4}^2 r_{5} + 4 r_{1} r_{2} r_{4}^2 r_{5} + 4 r_{1} r_{3} r_{4}^2 r_{5} + r_{1}^3 r_{5}^2 + 2 r_{1}^2 r_{2} r_{5}^2 + r_{1} r_{2}^2 r_{5}^2 + 2 r_{1}^2 r_{3} r_{5}^2 + 2 r_{1} r_{2} r_{3} r_{5}^2 + r_{1} r_{3}^2 r_{5}^2 + r_{1}^2 r_{4} r_{5}^2 + r_{1} r_{2} r_{4} r_{5}^2 + r_{1} r_{3} r_{4} r_{5}^2]s_{(53)}+[2 r_{1}^4 + 6 r_{1}^3 r_{2} + 6 r_{1}^2 r_{2}^2 + 2 r_{1} r_{2}^3 + 8 r_{1}^3 r_{3} + 16 r_{1}^2 r_{2} r_{3} + 8 r_{1} r_{2}^2 r_{3} + 10 r_{1}^2 r_{3}^2 + 10 r_{1} r_{2} r_{3}^2 + 4 r_{1} r_{3}^3 + 6 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 6 r_{1} r_{2}^2 r_{4} + 14 r_{1}^2 r_{3} r_{4} + 14 r_{1} r_{2} r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 4 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 4 r_{1} r_{3} r_{4}^2 + 3 r_{1}^3 r_{5} + 6 r_{1}^2 r_{2} r_{5} + 3 r_{1} r_{2}^2 r_{5} + 7 r_{1}^2 r_{3} r_{5} + 7 r_{1} r_{2} r_{3} r_{5} + 4 r_{1} r_{3}^2 r_{5} + 4 r_{1}^2 r_{4} r_{5} + 4 r_{1} r_{2} r_{4} r_{5} + 4 r_{1} r_{3} r_{4} r_{5} + r_{1}^2 r_{5}^2 + r_{1} r_{2} r_{5}^2 + r_{1} r_{3} r_{5}^2]s_{(531)}+[2 r_{1}^3 + 4 r_{1}^2 r_{2} + 2 r_{1} r_{2}^2 + 6 r_{1}^2 r_{3} + 6 r_{1} r_{2} r_{3} + 4 r_{1} r_{3}^2 + 6 r_{1}^2 r_{4} + 6 r_{1} r_{2} r_{4} + 8 r_{1} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 3 r_{1}^2 r_{5} + 3 r_{1} r_{2} r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + r_{1} r_{5}^2]s_{(532)}+[4 r_{1}^4 + 16 r_{1}^3 r_{2} + 24 r_{1}^2 r_{2}^2 + 16 r_{1} r_{2}^3 + 4 r_{2}^4 + 16 r_{1}^3 r_{3} + 48 r_{1}^2 r_{2} r_{3} + 48 r_{1} r_{2}^2 r_{3} + 16 r_{2}^3 r_{3} + 24 r_{1}^2 r_{3}^2 + 48 r_{1} r_{2} r_{3}^2 + 24 r_{2}^2 r_{3}^2 + 16 r_{1} r_{3}^3 + 16 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 36 r_{1}^2 r_{3} r_{4} + 72 r_{1} r_{2} r_{3} r_{4} + 36 r_{2}^2 r_{3} r_{4} + 36 r_{1} r_{3}^2 r_{4} + 36 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 12 r_{1}^2 r_{4}^2 + 24 r_{1} r_{2} r_{4}^2 + 12 r_{2}^2 r_{4}^2 + 24 r_{1} r_{3} r_{4}^2 + 24 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 4 r_{1}^3 r_{5} + 12 r_{1}^2 r_{2} r_{5} + 12 r_{1} r_{2}^2 r_{5} + 4 r_{2}^3 r_{5} + 12 r_{1}^2 r_{3} r_{5} + 24 r_{1} r_{2} r_{3} r_{5} + 12 r_{2}^2 r_{3} r_{5} + 12 r_{1} r_{3}^2 r_{5} + 12 r_{2} r_{3}^2 r_{5} + 4 r_{3}^3 r_{5} + 8 r_{1}^2 r_{4} r_{5} + 16 r_{1} r_{2} r_{4} r_{5} + 8 r_{2}^2 r_{4} r_{5} + 16 r_{1} r_{3} r_{4} r_{5} + 16 r_{2} r_{3} r_{4} r_{5} + 8 r_{3}^2 r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 4 r_{2} r_{4}^2 r_{5} + 4 r_{3} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + 2 r_{1} r_{3} r_{5}^2 + 2 r_{2} r_{3} r_{5}^2 + r_{3}^2 r_{5}^2 + r_{1} r_{4} r_{5}^2 + r_{2} r_{4} r_{5}^2 + r_{3} r_{4} r_{5}^2]s_{(54)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 4 r_{3} r_{4}^2 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 8 r_{1} r_{3} r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + 4 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(541)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(542)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(543)}$


$s_{(531)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 10 r_{1}^4 r_{3} + 30 r_{1}^3 r_{2} r_{3} + 30 r_{1}^2 r_{2}^2 r_{3} + 10 r_{1} r_{2}^3 r_{3} + 18 r_{1}^3 r_{3}^2 + 36 r_{1}^2 r_{2} r_{3}^2 + 18 r_{1} r_{2}^2 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 14 r_{1} r_{2} r_{3}^3 + 4 r_{1} r_{3}^4 + 8 r_{1}^4 r_{4} + 24 r_{1}^3 r_{2} r_{4} + 24 r_{1}^2 r_{2}^2 r_{4} + 8 r_{1} r_{2}^3 r_{4} + 28 r_{1}^3 r_{3} r_{4} + 56 r_{1}^2 r_{2} r_{3} r_{4} + 28 r_{1} r_{2}^2 r_{3} r_{4} + 32 r_{1}^2 r_{3}^2 r_{4} + 32 r_{1} r_{2} r_{3}^2 r_{4} + 12 r_{1} r_{3}^3 r_{4} + 10 r_{1}^3 r_{4}^2 + 20 r_{1}^2 r_{2} r_{4}^2 + 10 r_{1} r_{2}^2 r_{4}^2 + 22 r_{1}^2 r_{3} r_{4}^2 + 22 r_{1} r_{2} r_{3} r_{4}^2 + 12 r_{1} r_{3}^2 r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 4 r_{1} r_{2} r_{4}^3 + 4 r_{1} r_{3} r_{4}^3 + 5 r_{1}^4 r_{5} + 15 r_{1}^3 r_{2} r_{5} + 15 r_{1}^2 r_{2}^2 r_{5} + 5 r_{1} r_{2}^3 r_{5} + 18 r_{1}^3 r_{3} r_{5} + 36 r_{1}^2 r_{2} r_{3} r_{5} + 18 r_{1} r_{2}^2 r_{3} r_{5} + 21 r_{1}^2 r_{3}^2 r_{5} + 21 r_{1} r_{2} r_{3}^2 r_{5} + 8 r_{1} r_{3}^3 r_{5} + 13 r_{1}^3 r_{4} r_{5} + 26 r_{1}^2 r_{2} r_{4} r_{5} + 13 r_{1} r_{2}^2 r_{4} r_{5} + 29 r_{1}^2 r_{3} r_{4} r_{5} + 29 r_{1} r_{2} r_{3} r_{4} r_{5} + 16 r_{1} r_{3}^2 r_{4} r_{5} + 8 r_{1}^2 r_{4}^2 r_{5} + 8 r_{1} r_{2} r_{4}^2 r_{5} + 8 r_{1} r_{3} r_{4}^2 r_{5} + 4 r_{1}^3 r_{5}^2 + 8 r_{1}^2 r_{2} r_{5}^2 + 4 r_{1} r_{2}^2 r_{5}^2 + 9 r_{1}^2 r_{3} r_{5}^2 + 9 r_{1} r_{2} r_{3} r_{5}^2 + 5 r_{1} r_{3}^2 r_{5}^2 + 5 r_{1}^2 r_{4} r_{5}^2 + 5 r_{1} r_{2} r_{4} r_{5}^2 + 5 r_{1} r_{3} r_{4} r_{5}^2 + r_{1}^2 r_{5}^3 + r_{1} r_{2} r_{5}^3 + r_{1} r_{3} r_{5}^3]s_{(531)}+[4 r_{1}^4 + 12 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 4 r_{1} r_{2}^3 + 16 r_{1}^3 r_{3} + 32 r_{1}^2 r_{2} r_{3} + 16 r_{1} r_{2}^2 r_{3} + 20 r_{1}^2 r_{3}^2 + 20 r_{1} r_{2} r_{3}^2 + 8 r_{1} r_{3}^3 + 16 r_{1}^3 r_{4} + 32 r_{1}^2 r_{2} r_{4} + 16 r_{1} r_{2}^2 r_{4} + 40 r_{1}^2 r_{3} r_{4} + 40 r_{1} r_{2} r_{3} r_{4} + 24 r_{1} r_{3}^2 r_{4} + 20 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 24 r_{1} r_{3} r_{4}^2 + 8 r_{1} r_{4}^3 + 8 r_{1}^3 r_{5} + 16 r_{1}^2 r_{2} r_{5} + 8 r_{1} r_{2}^2 r_{5} + 20 r_{1}^2 r_{3} r_{5} + 20 r_{1} r_{2} r_{3} r_{5} + 12 r_{1} r_{3}^2 r_{5} + 20 r_{1}^2 r_{4} r_{5} + 20 r_{1} r_{2} r_{4} r_{5} + 24 r_{1} r_{3} r_{4} r_{5} + 12 r_{1} r_{4}^2 r_{5} + 5 r_{1}^2 r_{5}^2 + 5 r_{1} r_{2} r_{5}^2 + 6 r_{1} r_{3} r_{5}^2 + 6 r_{1} r_{4} r_{5}^2 + r_{1} r_{5}^3]s_{(532)}+[2 r_{1}^3 + 4 r_{1}^2 r_{2} + 2 r_{1} r_{2}^2 + 6 r_{1}^2 r_{3} + 6 r_{1} r_{2} r_{3} + 4 r_{1} r_{3}^2 + 6 r_{1}^2 r_{4} + 6 r_{1} r_{2} r_{4} + 8 r_{1} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 3 r_{1}^2 r_{5} + 3 r_{1} r_{2} r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + r_{1} r_{5}^2]s_{(5321)}+[4 r_{1}^4 + 16 r_{1}^3 r_{2} + 24 r_{1}^2 r_{2}^2 + 16 r_{1} r_{2}^3 + 4 r_{2}^4 + 16 r_{1}^3 r_{3} + 48 r_{1}^2 r_{2} r_{3} + 48 r_{1} r_{2}^2 r_{3} + 16 r_{2}^3 r_{3} + 24 r_{1}^2 r_{3}^2 + 48 r_{1} r_{2} r_{3}^2 + 24 r_{2}^2 r_{3}^2 + 16 r_{1} r_{3}^3 + 16 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 36 r_{1}^2 r_{3} r_{4} + 72 r_{1} r_{2} r_{3} r_{4} + 36 r_{2}^2 r_{3} r_{4} + 36 r_{1} r_{3}^2 r_{4} + 36 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 12 r_{1}^2 r_{4}^2 + 24 r_{1} r_{2} r_{4}^2 + 12 r_{2}^2 r_{4}^2 + 24 r_{1} r_{3} r_{4}^2 + 24 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 8 r_{1}^3 r_{5} + 24 r_{1}^2 r_{2} r_{5} + 24 r_{1} r_{2}^2 r_{5} + 8 r_{2}^3 r_{5} + 24 r_{1}^2 r_{3} r_{5} + 48 r_{1} r_{2} r_{3} r_{5} + 24 r_{2}^2 r_{3} r_{5} + 24 r_{1} r_{3}^2 r_{5} + 24 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 16 r_{1}^2 r_{4} r_{5} + 32 r_{1} r_{2} r_{4} r_{5} + 16 r_{2}^2 r_{4} r_{5} + 32 r_{1} r_{3} r_{4} r_{5} + 32 r_{2} r_{3} r_{4} r_{5} + 16 r_{3}^2 r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 8 r_{3} r_{4}^2 r_{5} + 5 r_{1}^2 r_{5}^2 + 10 r_{1} r_{2} r_{5}^2 + 5 r_{2}^2 r_{5}^2 + 10 r_{1} r_{3} r_{5}^2 + 10 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + 5 r_{3} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(541)}+[8 r_{1}^3 + 24 r_{1}^2 r_{2} + 24 r_{1} r_{2}^2 + 8 r_{2}^3 + 24 r_{1}^2 r_{3} + 48 r_{1} r_{2} r_{3} + 24 r_{2}^2 r_{3} + 24 r_{1} r_{3}^2 + 24 r_{2} r_{3}^2 + 8 r_{3}^3 + 24 r_{1}^2 r_{4} + 48 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 48 r_{1} r_{3} r_{4} + 48 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 24 r_{1} r_{4}^2 + 24 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 12 r_{1}^2 r_{5} + 24 r_{1} r_{2} r_{5} + 12 r_{2}^2 r_{5} + 24 r_{1} r_{3} r_{5} + 24 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 24 r_{1} r_{4} r_{5} + 24 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 6 r_{1} r_{5}^2 + 6 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(542)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5421)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(543)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5431)}$


$s_{(532)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 10 r_{1}^4 r_{3} + 30 r_{1}^3 r_{2} r_{3} + 30 r_{1}^2 r_{2}^2 r_{3} + 10 r_{1} r_{2}^3 r_{3} + 18 r_{1}^3 r_{3}^2 + 36 r_{1}^2 r_{2} r_{3}^2 + 18 r_{1} r_{2}^2 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 14 r_{1} r_{2} r_{3}^3 + 4 r_{1} r_{3}^4 + 12 r_{1}^4 r_{4} + 36 r_{1}^3 r_{2} r_{4} + 36 r_{1}^2 r_{2}^2 r_{4} + 12 r_{1} r_{2}^3 r_{4} + 44 r_{1}^3 r_{3} r_{4} + 88 r_{1}^2 r_{2} r_{3} r_{4} + 44 r_{1} r_{2}^2 r_{3} r_{4} + 52 r_{1}^2 r_{3}^2 r_{4} + 52 r_{1} r_{2} r_{3}^2 r_{4} + 20 r_{1} r_{3}^3 r_{4} + 26 r_{1}^3 r_{4}^2 + 52 r_{1}^2 r_{2} r_{4}^2 + 26 r_{1} r_{2}^2 r_{4}^2 + 62 r_{1}^2 r_{3} r_{4}^2 + 62 r_{1} r_{2} r_{3} r_{4}^2 + 36 r_{1} r_{3}^2 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 24 r_{1} r_{2} r_{4}^3 + 28 r_{1} r_{3} r_{4}^3 + 8 r_{1} r_{4}^4 + 5 r_{1}^4 r_{5} + 15 r_{1}^3 r_{2} r_{5} + 15 r_{1}^2 r_{2}^2 r_{5} + 5 r_{1} r_{2}^3 r_{5} + 18 r_{1}^3 r_{3} r_{5} + 36 r_{1}^2 r_{2} r_{3} r_{5} + 18 r_{1} r_{2}^2 r_{3} r_{5} + 21 r_{1}^2 r_{3}^2 r_{5} + 21 r_{1} r_{2} r_{3}^2 r_{5} + 8 r_{1} r_{3}^3 r_{5} + 21 r_{1}^3 r_{4} r_{5} + 42 r_{1}^2 r_{2} r_{4} r_{5} + 21 r_{1} r_{2}^2 r_{4} r_{5} + 49 r_{1}^2 r_{3} r_{4} r_{5} + 49 r_{1} r_{2} r_{3} r_{4} r_{5} + 28 r_{1} r_{3}^2 r_{4} r_{5} + 28 r_{1}^2 r_{4}^2 r_{5} + 28 r_{1} r_{2} r_{4}^2 r_{5} + 32 r_{1} r_{3} r_{4}^2 r_{5} + 12 r_{1} r_{4}^3 r_{5} + 4 r_{1}^3 r_{5}^2 + 8 r_{1}^2 r_{2} r_{5}^2 + 4 r_{1} r_{2}^2 r_{5}^2 + 9 r_{1}^2 r_{3} r_{5}^2 + 9 r_{1} r_{2} r_{3} r_{5}^2 + 5 r_{1} r_{3}^2 r_{5}^2 + 10 r_{1}^2 r_{4} r_{5}^2 + 10 r_{1} r_{2} r_{4} r_{5}^2 + 11 r_{1} r_{3} r_{4} r_{5}^2 + 6 r_{1} r_{4}^2 r_{5}^2 + r_{1}^2 r_{5}^3 + r_{1} r_{2} r_{5}^3 + r_{1} r_{3} r_{5}^3 + r_{1} r_{4} r_{5}^3]s_{(532)}+[2 r_{1}^4 + 6 r_{1}^3 r_{2} + 6 r_{1}^2 r_{2}^2 + 2 r_{1} r_{2}^3 + 8 r_{1}^3 r_{3} + 16 r_{1}^2 r_{2} r_{3} + 8 r_{1} r_{2}^2 r_{3} + 10 r_{1}^2 r_{3}^2 + 10 r_{1} r_{2} r_{3}^2 + 4 r_{1} r_{3}^3 + 10 r_{1}^3 r_{4} + 20 r_{1}^2 r_{2} r_{4} + 10 r_{1} r_{2}^2 r_{4} + 26 r_{1}^2 r_{3} r_{4} + 26 r_{1} r_{2} r_{3} r_{4} + 16 r_{1} r_{3}^2 r_{4} + 16 r_{1}^2 r_{4}^2 + 16 r_{1} r_{2} r_{4}^2 + 20 r_{1} r_{3} r_{4}^2 + 8 r_{1} r_{4}^3 + 5 r_{1}^3 r_{5} + 10 r_{1}^2 r_{2} r_{5} + 5 r_{1} r_{2}^2 r_{5} + 13 r_{1}^2 r_{3} r_{5} + 13 r_{1} r_{2} r_{3} r_{5} + 8 r_{1} r_{3}^2 r_{5} + 16 r_{1}^2 r_{4} r_{5} + 16 r_{1} r_{2} r_{4} r_{5} + 20 r_{1} r_{3} r_{4} r_{5} + 12 r_{1} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 4 r_{1} r_{2} r_{5}^2 + 5 r_{1} r_{3} r_{5}^2 + 6 r_{1} r_{4} r_{5}^2 + r_{1} r_{5}^3]s_{(5321)}+[4 r_{1}^4 + 16 r_{1}^3 r_{2} + 24 r_{1}^2 r_{2}^2 + 16 r_{1} r_{2}^3 + 4 r_{2}^4 + 16 r_{1}^3 r_{3} + 48 r_{1}^2 r_{2} r_{3} + 48 r_{1} r_{2}^2 r_{3} + 16 r_{2}^3 r_{3} + 24 r_{1}^2 r_{3}^2 + 48 r_{1} r_{2} r_{3}^2 + 24 r_{2}^2 r_{3}^2 + 16 r_{1} r_{3}^3 + 16 r_{2} r_{3}^3 + 4 r_{3}^4 + 20 r_{1}^3 r_{4} + 60 r_{1}^2 r_{2} r_{4} + 60 r_{1} r_{2}^2 r_{4} + 20 r_{2}^3 r_{4} + 60 r_{1}^2 r_{3} r_{4} + 120 r_{1} r_{2} r_{3} r_{4} + 60 r_{2}^2 r_{3} r_{4} + 60 r_{1} r_{3}^2 r_{4} + 60 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 36 r_{1}^2 r_{4}^2 + 72 r_{1} r_{2} r_{4}^2 + 36 r_{2}^2 r_{4}^2 + 72 r_{1} r_{3} r_{4}^2 + 72 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 28 r_{1} r_{4}^3 + 28 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 8 r_{1}^3 r_{5} + 24 r_{1}^2 r_{2} r_{5} + 24 r_{1} r_{2}^2 r_{5} + 8 r_{2}^3 r_{5} + 24 r_{1}^2 r_{3} r_{5} + 48 r_{1} r_{2} r_{3} r_{5} + 24 r_{2}^2 r_{3} r_{5} + 24 r_{1} r_{3}^2 r_{5} + 24 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 28 r_{1}^2 r_{4} r_{5} + 56 r_{1} r_{2} r_{4} r_{5} + 28 r_{2}^2 r_{4} r_{5} + 56 r_{1} r_{3} r_{4} r_{5} + 56 r_{2} r_{3} r_{4} r_{5} + 28 r_{3}^2 r_{4} r_{5} + 32 r_{1} r_{4}^2 r_{5} + 32 r_{2} r_{4}^2 r_{5} + 32 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 5 r_{1}^2 r_{5}^2 + 10 r_{1} r_{2} r_{5}^2 + 5 r_{2}^2 r_{5}^2 + 10 r_{1} r_{3} r_{5}^2 + 10 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 11 r_{1} r_{4} r_{5}^2 + 11 r_{2} r_{4} r_{5}^2 + 11 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(542)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 16 r_{1}^2 r_{4} + 32 r_{1} r_{2} r_{4} + 16 r_{2}^2 r_{4} + 32 r_{1} r_{3} r_{4} + 32 r_{2} r_{3} r_{4} + 16 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 20 r_{2} r_{4} r_{5} + 20 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5421)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 8 r_{1} r_{3} r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 8 r_{1} r_{4} r_{5} + 8 r_{2} r_{4} r_{5} + 8 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(543)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5431)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5432)}$


$s_{(5321)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 10 r_{1}^4 r_{3} + 30 r_{1}^3 r_{2} r_{3} + 30 r_{1}^2 r_{2}^2 r_{3} + 10 r_{1} r_{2}^3 r_{3} + 18 r_{1}^3 r_{3}^2 + 36 r_{1}^2 r_{2} r_{3}^2 + 18 r_{1} r_{2}^2 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 14 r_{1} r_{2} r_{3}^3 + 4 r_{1} r_{3}^4 + 12 r_{1}^4 r_{4} + 36 r_{1}^3 r_{2} r_{4} + 36 r_{1}^2 r_{2}^2 r_{4} + 12 r_{1} r_{2}^3 r_{4} + 44 r_{1}^3 r_{3} r_{4} + 88 r_{1}^2 r_{2} r_{3} r_{4} + 44 r_{1} r_{2}^2 r_{3} r_{4} + 52 r_{1}^2 r_{3}^2 r_{4} + 52 r_{1} r_{2} r_{3}^2 r_{4} + 20 r_{1} r_{3}^3 r_{4} + 26 r_{1}^3 r_{4}^2 + 52 r_{1}^2 r_{2} r_{4}^2 + 26 r_{1} r_{2}^2 r_{4}^2 + 62 r_{1}^2 r_{3} r_{4}^2 + 62 r_{1} r_{2} r_{3} r_{4}^2 + 36 r_{1} r_{3}^2 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 24 r_{1} r_{2} r_{4}^3 + 28 r_{1} r_{3} r_{4}^3 + 8 r_{1} r_{4}^4 + 7 r_{1}^4 r_{5} + 21 r_{1}^3 r_{2} r_{5} + 21 r_{1}^2 r_{2}^2 r_{5} + 7 r_{1} r_{2}^3 r_{5} + 26 r_{1}^3 r_{3} r_{5} + 52 r_{1}^2 r_{2} r_{3} r_{5} + 26 r_{1} r_{2}^2 r_{3} r_{5} + 31 r_{1}^2 r_{3}^2 r_{5} + 31 r_{1} r_{2} r_{3}^2 r_{5} + 12 r_{1} r_{3}^3 r_{5} + 31 r_{1}^3 r_{4} r_{5} + 62 r_{1}^2 r_{2} r_{4} r_{5} + 31 r_{1} r_{2}^2 r_{4} r_{5} + 75 r_{1}^2 r_{3} r_{4} r_{5} + 75 r_{1} r_{2} r_{3} r_{4} r_{5} + 44 r_{1} r_{3}^2 r_{4} r_{5} + 44 r_{1}^2 r_{4}^2 r_{5} + 44 r_{1} r_{2} r_{4}^2 r_{5} + 52 r_{1} r_{3} r_{4}^2 r_{5} + 20 r_{1} r_{4}^3 r_{5} + 9 r_{1}^3 r_{5}^2 + 18 r_{1}^2 r_{2} r_{5}^2 + 9 r_{1} r_{2}^2 r_{5}^2 + 22 r_{1}^2 r_{3} r_{5}^2 + 22 r_{1} r_{2} r_{3} r_{5}^2 + 13 r_{1} r_{3}^2 r_{5}^2 + 26 r_{1}^2 r_{4} r_{5}^2 + 26 r_{1} r_{2} r_{4} r_{5}^2 + 31 r_{1} r_{3} r_{4} r_{5}^2 + 18 r_{1} r_{4}^2 r_{5}^2 + 5 r_{1}^2 r_{5}^3 + 5 r_{1} r_{2} r_{5}^3 + 6 r_{1} r_{3} r_{5}^3 + 7 r_{1} r_{4} r_{5}^3 + r_{1} r_{5}^4]s_{(5321)}+[4 r_{1}^4 + 16 r_{1}^3 r_{2} + 24 r_{1}^2 r_{2}^2 + 16 r_{1} r_{2}^3 + 4 r_{2}^4 + 16 r_{1}^3 r_{3} + 48 r_{1}^2 r_{2} r_{3} + 48 r_{1} r_{2}^2 r_{3} + 16 r_{2}^3 r_{3} + 24 r_{1}^2 r_{3}^2 + 48 r_{1} r_{2} r_{3}^2 + 24 r_{2}^2 r_{3}^2 + 16 r_{1} r_{3}^3 + 16 r_{2} r_{3}^3 + 4 r_{3}^4 + 20 r_{1}^3 r_{4} + 60 r_{1}^2 r_{2} r_{4} + 60 r_{1} r_{2}^2 r_{4} + 20 r_{2}^3 r_{4} + 60 r_{1}^2 r_{3} r_{4} + 120 r_{1} r_{2} r_{3} r_{4} + 60 r_{2}^2 r_{3} r_{4} + 60 r_{1} r_{3}^2 r_{4} + 60 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 36 r_{1}^2 r_{4}^2 + 72 r_{1} r_{2} r_{4}^2 + 36 r_{2}^2 r_{4}^2 + 72 r_{1} r_{3} r_{4}^2 + 72 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 28 r_{1} r_{4}^3 + 28 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 12 r_{1}^3 r_{5} + 36 r_{1}^2 r_{2} r_{5} + 36 r_{1} r_{2}^2 r_{5} + 12 r_{2}^3 r_{5} + 36 r_{1}^2 r_{3} r_{5} + 72 r_{1} r_{2} r_{3} r_{5} + 36 r_{2}^2 r_{3} r_{5} + 36 r_{1} r_{3}^2 r_{5} + 36 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 44 r_{1}^2 r_{4} r_{5} + 88 r_{1} r_{2} r_{4} r_{5} + 44 r_{2}^2 r_{4} r_{5} + 88 r_{1} r_{3} r_{4} r_{5} + 88 r_{2} r_{3} r_{4} r_{5} + 44 r_{3}^2 r_{4} r_{5} + 52 r_{1} r_{4}^2 r_{5} + 52 r_{2} r_{4}^2 r_{5} + 52 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 13 r_{1}^2 r_{5}^2 + 26 r_{1} r_{2} r_{5}^2 + 13 r_{2}^2 r_{5}^2 + 26 r_{1} r_{3} r_{5}^2 + 26 r_{2} r_{3} r_{5}^2 + 13 r_{3}^2 r_{5}^2 + 31 r_{1} r_{4} r_{5}^2 + 31 r_{2} r_{4} r_{5}^2 + 31 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 6 r_{1} r_{5}^3 + 6 r_{2} r_{5}^3 + 6 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5421)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 16 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(5431)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5432)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(54321)}$


$s_{(54)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 10 r_{1}^4 r_{3} + 46 r_{1}^3 r_{2} r_{3} + 78 r_{1}^2 r_{2}^2 r_{3} + 58 r_{1} r_{2}^3 r_{3} + 16 r_{2}^4 r_{3} + 18 r_{1}^3 r_{3}^2 + 60 r_{1}^2 r_{2} r_{3}^2 + 66 r_{1} r_{2}^2 r_{3}^2 + 24 r_{2}^3 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 30 r_{1} r_{2} r_{3}^3 + 16 r_{2}^2 r_{3}^3 + 4 r_{1} r_{3}^4 + 4 r_{2} r_{3}^4 + 8 r_{1}^4 r_{4} + 36 r_{1}^3 r_{2} r_{4} + 60 r_{1}^2 r_{2}^2 r_{4} + 44 r_{1} r_{2}^3 r_{4} + 12 r_{2}^4 r_{4} + 28 r_{1}^3 r_{3} r_{4} + 92 r_{1}^2 r_{2} r_{3} r_{4} + 100 r_{1} r_{2}^2 r_{3} r_{4} + 36 r_{2}^3 r_{3} r_{4} + 32 r_{1}^2 r_{3}^2 r_{4} + 68 r_{1} r_{2} r_{3}^2 r_{4} + 36 r_{2}^2 r_{3}^2 r_{4} + 12 r_{1} r_{3}^3 r_{4} + 12 r_{2} r_{3}^3 r_{4} + 10 r_{1}^3 r_{4}^2 + 32 r_{1}^2 r_{2} r_{4}^2 + 34 r_{1} r_{2}^2 r_{4}^2 + 12 r_{2}^3 r_{4}^2 + 22 r_{1}^2 r_{3} r_{4}^2 + 46 r_{1} r_{2} r_{3} r_{4}^2 + 24 r_{2}^2 r_{3} r_{4}^2 + 12 r_{1} r_{3}^2 r_{4}^2 + 12 r_{2} r_{3}^2 r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 8 r_{1} r_{2} r_{4}^3 + 4 r_{2}^2 r_{4}^3 + 4 r_{1} r_{3} r_{4}^3 + 4 r_{2} r_{3} r_{4}^3 + 3 r_{1}^4 r_{5} + 13 r_{1}^3 r_{2} r_{5} + 21 r_{1}^2 r_{2}^2 r_{5} + 15 r_{1} r_{2}^3 r_{5} + 4 r_{2}^4 r_{5} + 10 r_{1}^3 r_{3} r_{5} + 32 r_{1}^2 r_{2} r_{3} r_{5} + 34 r_{1} r_{2}^2 r_{3} r_{5} + 12 r_{2}^3 r_{3} r_{5} + 11 r_{1}^2 r_{3}^2 r_{5} + 23 r_{1} r_{2} r_{3}^2 r_{5} + 12 r_{2}^2 r_{3}^2 r_{5} + 4 r_{1} r_{3}^3 r_{5} + 4 r_{2} r_{3}^3 r_{5} + 7 r_{1}^3 r_{4} r_{5} + 22 r_{1}^2 r_{2} r_{4} r_{5} + 23 r_{1} r_{2}^2 r_{4} r_{5} + 8 r_{2}^3 r_{4} r_{5} + 15 r_{1}^2 r_{3} r_{4} r_{5} + 31 r_{1} r_{2} r_{3} r_{4} r_{5} + 16 r_{2}^2 r_{3} r_{4} r_{5} + 8 r_{1} r_{3}^2 r_{4} r_{5} + 8 r_{2} r_{3}^2 r_{4} r_{5} + 4 r_{1}^2 r_{4}^2 r_{5} + 8 r_{1} r_{2} r_{4}^2 r_{5} + 4 r_{2}^2 r_{4}^2 r_{5} + 4 r_{1} r_{3} r_{4}^2 r_{5} + 4 r_{2} r_{3} r_{4}^2 r_{5} + r_{1}^3 r_{5}^2 + 3 r_{1}^2 r_{2} r_{5}^2 + 3 r_{1} r_{2}^2 r_{5}^2 + r_{2}^3 r_{5}^2 + 2 r_{1}^2 r_{3} r_{5}^2 + 4 r_{1} r_{2} r_{3} r_{5}^2 + 2 r_{2}^2 r_{3} r_{5}^2 + r_{1} r_{3}^2 r_{5}^2 + r_{2} r_{3}^2 r_{5}^2 + r_{1}^2 r_{4} r_{5}^2 + 2 r_{1} r_{2} r_{4} r_{5}^2 + r_{2}^2 r_{4} r_{5}^2 + r_{1} r_{3} r_{4} r_{5}^2 + r_{2} r_{3} r_{4} r_{5}^2]s_{(54)}+[2 r_{1}^4 + 10 r_{1}^3 r_{2} + 18 r_{1}^2 r_{2}^2 + 14 r_{1} r_{2}^3 + 4 r_{2}^4 + 8 r_{1}^3 r_{3} + 28 r_{1}^2 r_{2} r_{3} + 32 r_{1} r_{2}^2 r_{3} + 12 r_{2}^3 r_{3} + 10 r_{1}^2 r_{3}^2 + 22 r_{1} r_{2} r_{3}^2 + 12 r_{2}^2 r_{3}^2 + 4 r_{1} r_{3}^3 + 4 r_{2} r_{3}^3 + 6 r_{1}^3 r_{4} + 20 r_{1}^2 r_{2} r_{4} + 22 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 14 r_{1}^2 r_{3} r_{4} + 30 r_{1} r_{2} r_{3} r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 8 r_{2} r_{3}^2 r_{4} + 4 r_{1}^2 r_{4}^2 + 8 r_{1} r_{2} r_{4}^2 + 4 r_{2}^2 r_{4}^2 + 4 r_{1} r_{3} r_{4}^2 + 4 r_{2} r_{3} r_{4}^2 + 3 r_{1}^3 r_{5} + 10 r_{1}^2 r_{2} r_{5} + 11 r_{1} r_{2}^2 r_{5} + 4 r_{2}^3 r_{5} + 7 r_{1}^2 r_{3} r_{5} + 15 r_{1} r_{2} r_{3} r_{5} + 8 r_{2}^2 r_{3} r_{5} + 4 r_{1} r_{3}^2 r_{5} + 4 r_{2} r_{3}^2 r_{5} + 4 r_{1}^2 r_{4} r_{5} + 8 r_{1} r_{2} r_{4} r_{5} + 4 r_{2}^2 r_{4} r_{5} + 4 r_{1} r_{3} r_{4} r_{5} + 4 r_{2} r_{3} r_{4} r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{2} r_{3} r_{5}^2]s_{(541)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 10 r_{1} r_{2}^2 + 4 r_{2}^3 + 6 r_{1}^2 r_{3} + 14 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 4 r_{1} r_{3}^2 + 4 r_{2} r_{3}^2 + 6 r_{1}^2 r_{4} + 14 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 3 r_{1}^2 r_{5} + 7 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(542)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 4 r_{2}^2 + 6 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(543)}$


$s_{(541)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 10 r_{1}^4 r_{3} + 46 r_{1}^3 r_{2} r_{3} + 78 r_{1}^2 r_{2}^2 r_{3} + 58 r_{1} r_{2}^3 r_{3} + 16 r_{2}^4 r_{3} + 18 r_{1}^3 r_{3}^2 + 60 r_{1}^2 r_{2} r_{3}^2 + 66 r_{1} r_{2}^2 r_{3}^2 + 24 r_{2}^3 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 30 r_{1} r_{2} r_{3}^3 + 16 r_{2}^2 r_{3}^3 + 4 r_{1} r_{3}^4 + 4 r_{2} r_{3}^4 + 8 r_{1}^4 r_{4} + 36 r_{1}^3 r_{2} r_{4} + 60 r_{1}^2 r_{2}^2 r_{4} + 44 r_{1} r_{2}^3 r_{4} + 12 r_{2}^4 r_{4} + 28 r_{1}^3 r_{3} r_{4} + 92 r_{1}^2 r_{2} r_{3} r_{4} + 100 r_{1} r_{2}^2 r_{3} r_{4} + 36 r_{2}^3 r_{3} r_{4} + 32 r_{1}^2 r_{3}^2 r_{4} + 68 r_{1} r_{2} r_{3}^2 r_{4} + 36 r_{2}^2 r_{3}^2 r_{4} + 12 r_{1} r_{3}^3 r_{4} + 12 r_{2} r_{3}^3 r_{4} + 10 r_{1}^3 r_{4}^2 + 32 r_{1}^2 r_{2} r_{4}^2 + 34 r_{1} r_{2}^2 r_{4}^2 + 12 r_{2}^3 r_{4}^2 + 22 r_{1}^2 r_{3} r_{4}^2 + 46 r_{1} r_{2} r_{3} r_{4}^2 + 24 r_{2}^2 r_{3} r_{4}^2 + 12 r_{1} r_{3}^2 r_{4}^2 + 12 r_{2} r_{3}^2 r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 8 r_{1} r_{2} r_{4}^3 + 4 r_{2}^2 r_{4}^3 + 4 r_{1} r_{3} r_{4}^3 + 4 r_{2} r_{3} r_{4}^3 + 5 r_{1}^4 r_{5} + 23 r_{1}^3 r_{2} r_{5} + 39 r_{1}^2 r_{2}^2 r_{5} + 29 r_{1} r_{2}^3 r_{5} + 8 r_{2}^4 r_{5} + 18 r_{1}^3 r_{3} r_{5} + 60 r_{1}^2 r_{2} r_{3} r_{5} + 66 r_{1} r_{2}^2 r_{3} r_{5} + 24 r_{2}^3 r_{3} r_{5} + 21 r_{1}^2 r_{3}^2 r_{5} + 45 r_{1} r_{2} r_{3}^2 r_{5} + 24 r_{2}^2 r_{3}^2 r_{5} + 8 r_{1} r_{3}^3 r_{5} + 8 r_{2} r_{3}^3 r_{5} + 13 r_{1}^3 r_{4} r_{5} + 42 r_{1}^2 r_{2} r_{4} r_{5} + 45 r_{1} r_{2}^2 r_{4} r_{5} + 16 r_{2}^3 r_{4} r_{5} + 29 r_{1}^2 r_{3} r_{4} r_{5} + 61 r_{1} r_{2} r_{3} r_{4} r_{5} + 32 r_{2}^2 r_{3} r_{4} r_{5} + 16 r_{1} r_{3}^2 r_{4} r_{5} + 16 r_{2} r_{3}^2 r_{4} r_{5} + 8 r_{1}^2 r_{4}^2 r_{5} + 16 r_{1} r_{2} r_{4}^2 r_{5} + 8 r_{2}^2 r_{4}^2 r_{5} + 8 r_{1} r_{3} r_{4}^2 r_{5} + 8 r_{2} r_{3} r_{4}^2 r_{5} + 4 r_{1}^3 r_{5}^2 + 13 r_{1}^2 r_{2} r_{5}^2 + 14 r_{1} r_{2}^2 r_{5}^2 + 5 r_{2}^3 r_{5}^2 + 9 r_{1}^2 r_{3} r_{5}^2 + 19 r_{1} r_{2} r_{3} r_{5}^2 + 10 r_{2}^2 r_{3} r_{5}^2 + 5 r_{1} r_{3}^2 r_{5}^2 + 5 r_{2} r_{3}^2 r_{5}^2 + 5 r_{1}^2 r_{4} r_{5}^2 + 10 r_{1} r_{2} r_{4} r_{5}^2 + 5 r_{2}^2 r_{4} r_{5}^2 + 5 r_{1} r_{3} r_{4} r_{5}^2 + 5 r_{2} r_{3} r_{4} r_{5}^2 + r_{1}^2 r_{5}^3 + 2 r_{1} r_{2} r_{5}^3 + r_{2}^2 r_{5}^3 + r_{1} r_{3} r_{5}^3 + r_{2} r_{3} r_{5}^3]s_{(541)}+[4 r_{1}^4 + 20 r_{1}^3 r_{2} + 36 r_{1}^2 r_{2}^2 + 28 r_{1} r_{2}^3 + 8 r_{2}^4 + 16 r_{1}^3 r_{3} + 56 r_{1}^2 r_{2} r_{3} + 64 r_{1} r_{2}^2 r_{3} + 24 r_{2}^3 r_{3} + 20 r_{1}^2 r_{3}^2 + 44 r_{1} r_{2} r_{3}^2 + 24 r_{2}^2 r_{3}^2 + 8 r_{1} r_{3}^3 + 8 r_{2} r_{3}^3 + 16 r_{1}^3 r_{4} + 56 r_{1}^2 r_{2} r_{4} + 64 r_{1} r_{2}^2 r_{4} + 24 r_{2}^3 r_{4} + 40 r_{1}^2 r_{3} r_{4} + 88 r_{1} r_{2} r_{3} r_{4} + 48 r_{2}^2 r_{3} r_{4} + 24 r_{1} r_{3}^2 r_{4} + 24 r_{2} r_{3}^2 r_{4} + 20 r_{1}^2 r_{4}^2 + 44 r_{1} r_{2} r_{4}^2 + 24 r_{2}^2 r_{4}^2 + 24 r_{1} r_{3} r_{4}^2 + 24 r_{2} r_{3} r_{4}^2 + 8 r_{1} r_{4}^3 + 8 r_{2} r_{4}^3 + 8 r_{1}^3 r_{5} + 28 r_{1}^2 r_{2} r_{5} + 32 r_{1} r_{2}^2 r_{5} + 12 r_{2}^3 r_{5} + 20 r_{1}^2 r_{3} r_{5} + 44 r_{1} r_{2} r_{3} r_{5} + 24 r_{2}^2 r_{3} r_{5} + 12 r_{1} r_{3}^2 r_{5} + 12 r_{2} r_{3}^2 r_{5} + 20 r_{1}^2 r_{4} r_{5} + 44 r_{1} r_{2} r_{4} r_{5} + 24 r_{2}^2 r_{4} r_{5} + 24 r_{1} r_{3} r_{4} r_{5} + 24 r_{2} r_{3} r_{4} r_{5} + 12 r_{1} r_{4}^2 r_{5} + 12 r_{2} r_{4}^2 r_{5} + 5 r_{1}^2 r_{5}^2 + 11 r_{1} r_{2} r_{5}^2 + 6 r_{2}^2 r_{5}^2 + 6 r_{1} r_{3} r_{5}^2 + 6 r_{2} r_{3} r_{5}^2 + 6 r_{1} r_{4} r_{5}^2 + 6 r_{2} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3]s_{(542)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 10 r_{1} r_{2}^2 + 4 r_{2}^3 + 6 r_{1}^2 r_{3} + 14 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 4 r_{1} r_{3}^2 + 4 r_{2} r_{3}^2 + 6 r_{1}^2 r_{4} + 14 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 3 r_{1}^2 r_{5} + 7 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(5421)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 20 r_{1} r_{2}^2 + 8 r_{2}^3 + 16 r_{1}^2 r_{3} + 40 r_{1} r_{2} r_{3} + 24 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 24 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 40 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 48 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 24 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 20 r_{1} r_{2} r_{5} + 12 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 24 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 24 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 6 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(543)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 4 r_{2}^2 + 6 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5431)}$


$s_{(542)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 10 r_{1}^4 r_{3} + 46 r_{1}^3 r_{2} r_{3} + 78 r_{1}^2 r_{2}^2 r_{3} + 58 r_{1} r_{2}^3 r_{3} + 16 r_{2}^4 r_{3} + 18 r_{1}^3 r_{3}^2 + 60 r_{1}^2 r_{2} r_{3}^2 + 66 r_{1} r_{2}^2 r_{3}^2 + 24 r_{2}^3 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 30 r_{1} r_{2} r_{3}^3 + 16 r_{2}^2 r_{3}^3 + 4 r_{1} r_{3}^4 + 4 r_{2} r_{3}^4 + 12 r_{1}^4 r_{4} + 56 r_{1}^3 r_{2} r_{4} + 96 r_{1}^2 r_{2}^2 r_{4} + 72 r_{1} r_{2}^3 r_{4} + 20 r_{2}^4 r_{4} + 44 r_{1}^3 r_{3} r_{4} + 148 r_{1}^2 r_{2} r_{3} r_{4} + 164 r_{1} r_{2}^2 r_{3} r_{4} + 60 r_{2}^3 r_{3} r_{4} + 52 r_{1}^2 r_{3}^2 r_{4} + 112 r_{1} r_{2} r_{3}^2 r_{4} + 60 r_{2}^2 r_{3}^2 r_{4} + 20 r_{1} r_{3}^3 r_{4} + 20 r_{2} r_{3}^3 r_{4} + 26 r_{1}^3 r_{4}^2 + 88 r_{1}^2 r_{2} r_{4}^2 + 98 r_{1} r_{2}^2 r_{4}^2 + 36 r_{2}^3 r_{4}^2 + 62 r_{1}^2 r_{3} r_{4}^2 + 134 r_{1} r_{2} r_{3} r_{4}^2 + 72 r_{2}^2 r_{3} r_{4}^2 + 36 r_{1} r_{3}^2 r_{4}^2 + 36 r_{2} r_{3}^2 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 52 r_{1} r_{2} r_{4}^3 + 28 r_{2}^2 r_{4}^3 + 28 r_{1} r_{3} r_{4}^3 + 28 r_{2} r_{3} r_{4}^3 + 8 r_{1} r_{4}^4 + 8 r_{2} r_{4}^4 + 5 r_{1}^4 r_{5} + 23 r_{1}^3 r_{2} r_{5} + 39 r_{1}^2 r_{2}^2 r_{5} + 29 r_{1} r_{2}^3 r_{5} + 8 r_{2}^4 r_{5} + 18 r_{1}^3 r_{3} r_{5} + 60 r_{1}^2 r_{2} r_{3} r_{5} + 66 r_{1} r_{2}^2 r_{3} r_{5} + 24 r_{2}^3 r_{3} r_{5} + 21 r_{1}^2 r_{3}^2 r_{5} + 45 r_{1} r_{2} r_{3}^2 r_{5} + 24 r_{2}^2 r_{3}^2 r_{5} + 8 r_{1} r_{3}^3 r_{5} + 8 r_{2} r_{3}^3 r_{5} + 21 r_{1}^3 r_{4} r_{5} + 70 r_{1}^2 r_{2} r_{4} r_{5} + 77 r_{1} r_{2}^2 r_{4} r_{5} + 28 r_{2}^3 r_{4} r_{5} + 49 r_{1}^2 r_{3} r_{4} r_{5} + 105 r_{1} r_{2} r_{3} r_{4} r_{5} + 56 r_{2}^2 r_{3} r_{4} r_{5} + 28 r_{1} r_{3}^2 r_{4} r_{5} + 28 r_{2} r_{3}^2 r_{4} r_{5} + 28 r_{1}^2 r_{4}^2 r_{5} + 60 r_{1} r_{2} r_{4}^2 r_{5} + 32 r_{2}^2 r_{4}^2 r_{5} + 32 r_{1} r_{3} r_{4}^2 r_{5} + 32 r_{2} r_{3} r_{4}^2 r_{5} + 12 r_{1} r_{4}^3 r_{5} + 12 r_{2} r_{4}^3 r_{5} + 4 r_{1}^3 r_{5}^2 + 13 r_{1}^2 r_{2} r_{5}^2 + 14 r_{1} r_{2}^2 r_{5}^2 + 5 r_{2}^3 r_{5}^2 + 9 r_{1}^2 r_{3} r_{5}^2 + 19 r_{1} r_{2} r_{3} r_{5}^2 + 10 r_{2}^2 r_{3} r_{5}^2 + 5 r_{1} r_{3}^2 r_{5}^2 + 5 r_{2} r_{3}^2 r_{5}^2 + 10 r_{1}^2 r_{4} r_{5}^2 + 21 r_{1} r_{2} r_{4} r_{5}^2 + 11 r_{2}^2 r_{4} r_{5}^2 + 11 r_{1} r_{3} r_{4} r_{5}^2 + 11 r_{2} r_{3} r_{4} r_{5}^2 + 6 r_{1} r_{4}^2 r_{5}^2 + 6 r_{2} r_{4}^2 r_{5}^2 + r_{1}^2 r_{5}^3 + 2 r_{1} r_{2} r_{5}^3 + r_{2}^2 r_{5}^3 + r_{1} r_{3} r_{5}^3 + r_{2} r_{3} r_{5}^3 + r_{1} r_{4} r_{5}^3 + r_{2} r_{4} r_{5}^3]s_{(542)}+[2 r_{1}^4 + 10 r_{1}^3 r_{2} + 18 r_{1}^2 r_{2}^2 + 14 r_{1} r_{2}^3 + 4 r_{2}^4 + 8 r_{1}^3 r_{3} + 28 r_{1}^2 r_{2} r_{3} + 32 r_{1} r_{2}^2 r_{3} + 12 r_{2}^3 r_{3} + 10 r_{1}^2 r_{3}^2 + 22 r_{1} r_{2} r_{3}^2 + 12 r_{2}^2 r_{3}^2 + 4 r_{1} r_{3}^3 + 4 r_{2} r_{3}^3 + 10 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 42 r_{1} r_{2}^2 r_{4} + 16 r_{2}^3 r_{4} + 26 r_{1}^2 r_{3} r_{4} + 58 r_{1} r_{2} r_{3} r_{4} + 32 r_{2}^2 r_{3} r_{4} + 16 r_{1} r_{3}^2 r_{4} + 16 r_{2} r_{3}^2 r_{4} + 16 r_{1}^2 r_{4}^2 + 36 r_{1} r_{2} r_{4}^2 + 20 r_{2}^2 r_{4}^2 + 20 r_{1} r_{3} r_{4}^2 + 20 r_{2} r_{3} r_{4}^2 + 8 r_{1} r_{4}^3 + 8 r_{2} r_{4}^3 + 5 r_{1}^3 r_{5} + 18 r_{1}^2 r_{2} r_{5} + 21 r_{1} r_{2}^2 r_{5} + 8 r_{2}^3 r_{5} + 13 r_{1}^2 r_{3} r_{5} + 29 r_{1} r_{2} r_{3} r_{5} + 16 r_{2}^2 r_{3} r_{5} + 8 r_{1} r_{3}^2 r_{5} + 8 r_{2} r_{3}^2 r_{5} + 16 r_{1}^2 r_{4} r_{5} + 36 r_{1} r_{2} r_{4} r_{5} + 20 r_{2}^2 r_{4} r_{5} + 20 r_{1} r_{3} r_{4} r_{5} + 20 r_{2} r_{3} r_{4} r_{5} + 12 r_{1} r_{4}^2 r_{5} + 12 r_{2} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 9 r_{1} r_{2} r_{5}^2 + 5 r_{2}^2 r_{5}^2 + 5 r_{1} r_{3} r_{5}^2 + 5 r_{2} r_{3} r_{5}^2 + 6 r_{1} r_{4} r_{5}^2 + 6 r_{2} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3]s_{(5421)}+[4 r_{1}^4 + 20 r_{1}^3 r_{2} + 36 r_{1}^2 r_{2}^2 + 28 r_{1} r_{2}^3 + 8 r_{2}^4 + 20 r_{1}^3 r_{3} + 72 r_{1}^2 r_{2} r_{3} + 84 r_{1} r_{2}^2 r_{3} + 32 r_{2}^3 r_{3} + 36 r_{1}^2 r_{3}^2 + 84 r_{1} r_{2} r_{3}^2 + 48 r_{2}^2 r_{3}^2 + 28 r_{1} r_{3}^3 + 32 r_{2} r_{3}^3 + 8 r_{3}^4 + 20 r_{1}^3 r_{4} + 72 r_{1}^2 r_{2} r_{4} + 84 r_{1} r_{2}^2 r_{4} + 32 r_{2}^3 r_{4} + 72 r_{1}^2 r_{3} r_{4} + 168 r_{1} r_{2} r_{3} r_{4} + 96 r_{2}^2 r_{3} r_{4} + 84 r_{1} r_{3}^2 r_{4} + 96 r_{2} r_{3}^2 r_{4} + 32 r_{3}^3 r_{4} + 36 r_{1}^2 r_{4}^2 + 84 r_{1} r_{2} r_{4}^2 + 48 r_{2}^2 r_{4}^2 + 84 r_{1} r_{3} r_{4}^2 + 96 r_{2} r_{3} r_{4}^2 + 48 r_{3}^2 r_{4}^2 + 28 r_{1} r_{4}^3 + 32 r_{2} r_{4}^3 + 32 r_{3} r_{4}^3 + 8 r_{4}^4 + 8 r_{1}^3 r_{5} + 28 r_{1}^2 r_{2} r_{5} + 32 r_{1} r_{2}^2 r_{5} + 12 r_{2}^3 r_{5} + 28 r_{1}^2 r_{3} r_{5} + 64 r_{1} r_{2} r_{3} r_{5} + 36 r_{2}^2 r_{3} r_{5} + 32 r_{1} r_{3}^2 r_{5} + 36 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 28 r_{1}^2 r_{4} r_{5} + 64 r_{1} r_{2} r_{4} r_{5} + 36 r_{2}^2 r_{4} r_{5} + 64 r_{1} r_{3} r_{4} r_{5} + 72 r_{2} r_{3} r_{4} r_{5} + 36 r_{3}^2 r_{4} r_{5} + 32 r_{1} r_{4}^2 r_{5} + 36 r_{2} r_{4}^2 r_{5} + 36 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 5 r_{1}^2 r_{5}^2 + 11 r_{1} r_{2} r_{5}^2 + 6 r_{2}^2 r_{5}^2 + 11 r_{1} r_{3} r_{5}^2 + 12 r_{2} r_{3} r_{5}^2 + 6 r_{3}^2 r_{5}^2 + 11 r_{1} r_{4} r_{5}^2 + 12 r_{2} r_{4} r_{5}^2 + 12 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(543)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 20 r_{1} r_{2}^2 + 8 r_{2}^3 + 16 r_{1}^2 r_{3} + 40 r_{1} r_{2} r_{3} + 24 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 24 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 40 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 48 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 24 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 20 r_{1} r_{2} r_{5} + 12 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 24 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 24 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 6 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5431)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 4 r_{2}^2 + 6 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5432)}$


$s_{(5421)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 10 r_{1}^4 r_{3} + 46 r_{1}^3 r_{2} r_{3} + 78 r_{1}^2 r_{2}^2 r_{3} + 58 r_{1} r_{2}^3 r_{3} + 16 r_{2}^4 r_{3} + 18 r_{1}^3 r_{3}^2 + 60 r_{1}^2 r_{2} r_{3}^2 + 66 r_{1} r_{2}^2 r_{3}^2 + 24 r_{2}^3 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 30 r_{1} r_{2} r_{3}^3 + 16 r_{2}^2 r_{3}^3 + 4 r_{1} r_{3}^4 + 4 r_{2} r_{3}^4 + 12 r_{1}^4 r_{4} + 56 r_{1}^3 r_{2} r_{4} + 96 r_{1}^2 r_{2}^2 r_{4} + 72 r_{1} r_{2}^3 r_{4} + 20 r_{2}^4 r_{4} + 44 r_{1}^3 r_{3} r_{4} + 148 r_{1}^2 r_{2} r_{3} r_{4} + 164 r_{1} r_{2}^2 r_{3} r_{4} + 60 r_{2}^3 r_{3} r_{4} + 52 r_{1}^2 r_{3}^2 r_{4} + 112 r_{1} r_{2} r_{3}^2 r_{4} + 60 r_{2}^2 r_{3}^2 r_{4} + 20 r_{1} r_{3}^3 r_{4} + 20 r_{2} r_{3}^3 r_{4} + 26 r_{1}^3 r_{4}^2 + 88 r_{1}^2 r_{2} r_{4}^2 + 98 r_{1} r_{2}^2 r_{4}^2 + 36 r_{2}^3 r_{4}^2 + 62 r_{1}^2 r_{3} r_{4}^2 + 134 r_{1} r_{2} r_{3} r_{4}^2 + 72 r_{2}^2 r_{3} r_{4}^2 + 36 r_{1} r_{3}^2 r_{4}^2 + 36 r_{2} r_{3}^2 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 52 r_{1} r_{2} r_{4}^3 + 28 r_{2}^2 r_{4}^3 + 28 r_{1} r_{3} r_{4}^3 + 28 r_{2} r_{3} r_{4}^3 + 8 r_{1} r_{4}^4 + 8 r_{2} r_{4}^4 + 7 r_{1}^4 r_{5} + 33 r_{1}^3 r_{2} r_{5} + 57 r_{1}^2 r_{2}^2 r_{5} + 43 r_{1} r_{2}^3 r_{5} + 12 r_{2}^4 r_{5} + 26 r_{1}^3 r_{3} r_{5} + 88 r_{1}^2 r_{2} r_{3} r_{5} + 98 r_{1} r_{2}^2 r_{3} r_{5} + 36 r_{2}^3 r_{3} r_{5} + 31 r_{1}^2 r_{3}^2 r_{5} + 67 r_{1} r_{2} r_{3}^2 r_{5} + 36 r_{2}^2 r_{3}^2 r_{5} + 12 r_{1} r_{3}^3 r_{5} + 12 r_{2} r_{3}^3 r_{5} + 31 r_{1}^3 r_{4} r_{5} + 106 r_{1}^2 r_{2} r_{4} r_{5} + 119 r_{1} r_{2}^2 r_{4} r_{5} + 44 r_{2}^3 r_{4} r_{5} + 75 r_{1}^2 r_{3} r_{4} r_{5} + 163 r_{1} r_{2} r_{3} r_{4} r_{5} + 88 r_{2}^2 r_{3} r_{4} r_{5} + 44 r_{1} r_{3}^2 r_{4} r_{5} + 44 r_{2} r_{3}^2 r_{4} r_{5} + 44 r_{1}^2 r_{4}^2 r_{5} + 96 r_{1} r_{2} r_{4}^2 r_{5} + 52 r_{2}^2 r_{4}^2 r_{5} + 52 r_{1} r_{3} r_{4}^2 r_{5} + 52 r_{2} r_{3} r_{4}^2 r_{5} + 20 r_{1} r_{4}^3 r_{5} + 20 r_{2} r_{4}^3 r_{5} + 9 r_{1}^3 r_{5}^2 + 31 r_{1}^2 r_{2} r_{5}^2 + 35 r_{1} r_{2}^2 r_{5}^2 + 13 r_{2}^3 r_{5}^2 + 22 r_{1}^2 r_{3} r_{5}^2 + 48 r_{1} r_{2} r_{3} r_{5}^2 + 26 r_{2}^2 r_{3} r_{5}^2 + 13 r_{1} r_{3}^2 r_{5}^2 + 13 r_{2} r_{3}^2 r_{5}^2 + 26 r_{1}^2 r_{4} r_{5}^2 + 57 r_{1} r_{2} r_{4} r_{5}^2 + 31 r_{2}^2 r_{4} r_{5}^2 + 31 r_{1} r_{3} r_{4} r_{5}^2 + 31 r_{2} r_{3} r_{4} r_{5}^2 + 18 r_{1} r_{4}^2 r_{5}^2 + 18 r_{2} r_{4}^2 r_{5}^2 + 5 r_{1}^2 r_{5}^3 + 11 r_{1} r_{2} r_{5}^3 + 6 r_{2}^2 r_{5}^3 + 6 r_{1} r_{3} r_{5}^3 + 6 r_{2} r_{3} r_{5}^3 + 7 r_{1} r_{4} r_{5}^3 + 7 r_{2} r_{4} r_{5}^3 + r_{1} r_{5}^4 + r_{2} r_{5}^4]s_{(5421)}+[4 r_{1}^4 + 20 r_{1}^3 r_{2} + 36 r_{1}^2 r_{2}^2 + 28 r_{1} r_{2}^3 + 8 r_{2}^4 + 20 r_{1}^3 r_{3} + 72 r_{1}^2 r_{2} r_{3} + 84 r_{1} r_{2}^2 r_{3} + 32 r_{2}^3 r_{3} + 36 r_{1}^2 r_{3}^2 + 84 r_{1} r_{2} r_{3}^2 + 48 r_{2}^2 r_{3}^2 + 28 r_{1} r_{3}^3 + 32 r_{2} r_{3}^3 + 8 r_{3}^4 + 20 r_{1}^3 r_{4} + 72 r_{1}^2 r_{2} r_{4} + 84 r_{1} r_{2}^2 r_{4} + 32 r_{2}^3 r_{4} + 72 r_{1}^2 r_{3} r_{4} + 168 r_{1} r_{2} r_{3} r_{4} + 96 r_{2}^2 r_{3} r_{4} + 84 r_{1} r_{3}^2 r_{4} + 96 r_{2} r_{3}^2 r_{4} + 32 r_{3}^3 r_{4} + 36 r_{1}^2 r_{4}^2 + 84 r_{1} r_{2} r_{4}^2 + 48 r_{2}^2 r_{4}^2 + 84 r_{1} r_{3} r_{4}^2 + 96 r_{2} r_{3} r_{4}^2 + 48 r_{3}^2 r_{4}^2 + 28 r_{1} r_{4}^3 + 32 r_{2} r_{4}^3 + 32 r_{3} r_{4}^3 + 8 r_{4}^4 + 12 r_{1}^3 r_{5} + 44 r_{1}^2 r_{2} r_{5} + 52 r_{1} r_{2}^2 r_{5} + 20 r_{2}^3 r_{5} + 44 r_{1}^2 r_{3} r_{5} + 104 r_{1} r_{2} r_{3} r_{5} + 60 r_{2}^2 r_{3} r_{5} + 52 r_{1} r_{3}^2 r_{5} + 60 r_{2} r_{3}^2 r_{5} + 20 r_{3}^3 r_{5} + 44 r_{1}^2 r_{4} r_{5} + 104 r_{1} r_{2} r_{4} r_{5} + 60 r_{2}^2 r_{4} r_{5} + 104 r_{1} r_{3} r_{4} r_{5} + 120 r_{2} r_{3} r_{4} r_{5} + 60 r_{3}^2 r_{4} r_{5} + 52 r_{1} r_{4}^2 r_{5} + 60 r_{2} r_{4}^2 r_{5} + 60 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 13 r_{1}^2 r_{5}^2 + 31 r_{1} r_{2} r_{5}^2 + 18 r_{2}^2 r_{5}^2 + 31 r_{1} r_{3} r_{5}^2 + 36 r_{2} r_{3} r_{5}^2 + 18 r_{3}^2 r_{5}^2 + 31 r_{1} r_{4} r_{5}^2 + 36 r_{2} r_{4} r_{5}^2 + 36 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 6 r_{1} r_{5}^3 + 7 r_{2} r_{5}^3 + 7 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5431)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 20 r_{1} r_{2}^2 + 8 r_{2}^3 + 16 r_{1}^2 r_{3} + 40 r_{1} r_{2} r_{3} + 24 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 24 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 40 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 48 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 24 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 20 r_{1} r_{2} r_{5} + 12 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 24 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 24 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 6 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5432)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 4 r_{2}^2 + 6 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(54321)}$


$s_{(543)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 14 r_{1}^4 r_{3} + 66 r_{1}^3 r_{2} r_{3} + 114 r_{1}^2 r_{2}^2 r_{3} + 86 r_{1} r_{2}^3 r_{3} + 24 r_{2}^4 r_{3} + 38 r_{1}^3 r_{3}^2 + 132 r_{1}^2 r_{2} r_{3}^2 + 150 r_{1} r_{2}^2 r_{3}^2 + 56 r_{2}^3 r_{3}^2 + 50 r_{1}^2 r_{3}^3 + 114 r_{1} r_{2} r_{3}^3 + 64 r_{2}^2 r_{3}^3 + 32 r_{1} r_{3}^4 + 36 r_{2} r_{3}^4 + 8 r_{3}^5 + 12 r_{1}^4 r_{4} + 56 r_{1}^3 r_{2} r_{4} + 96 r_{1}^2 r_{2}^2 r_{4} + 72 r_{1} r_{2}^3 r_{4} + 20 r_{2}^4 r_{4} + 64 r_{1}^3 r_{3} r_{4} + 220 r_{1}^2 r_{2} r_{3} r_{4} + 248 r_{1} r_{2}^2 r_{3} r_{4} + 92 r_{2}^3 r_{3} r_{4} + 124 r_{1}^2 r_{3}^2 r_{4} + 280 r_{1} r_{2} r_{3}^2 r_{4} + 156 r_{2}^2 r_{3}^2 r_{4} + 104 r_{1} r_{3}^3 r_{4} + 116 r_{2} r_{3}^3 r_{4} + 32 r_{3}^4 r_{4} + 26 r_{1}^3 r_{4}^2 + 88 r_{1}^2 r_{2} r_{4}^2 + 98 r_{1} r_{2}^2 r_{4}^2 + 36 r_{2}^3 r_{4}^2 + 98 r_{1}^2 r_{3} r_{4}^2 + 218 r_{1} r_{2} r_{3} r_{4}^2 + 120 r_{2}^2 r_{3} r_{4}^2 + 120 r_{1} r_{3}^2 r_{4}^2 + 132 r_{2} r_{3}^2 r_{4}^2 + 48 r_{3}^3 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 52 r_{1} r_{2} r_{4}^3 + 28 r_{2}^2 r_{4}^3 + 56 r_{1} r_{3} r_{4}^3 + 60 r_{2} r_{3} r_{4}^3 + 32 r_{3}^2 r_{4}^3 + 8 r_{1} r_{4}^4 + 8 r_{2} r_{4}^4 + 8 r_{3} r_{4}^4 + 5 r_{1}^4 r_{5} + 23 r_{1}^3 r_{2} r_{5} + 39 r_{1}^2 r_{2}^2 r_{5} + 29 r_{1} r_{2}^3 r_{5} + 8 r_{2}^4 r_{5} + 26 r_{1}^3 r_{3} r_{5} + 88 r_{1}^2 r_{2} r_{3} r_{5} + 98 r_{1} r_{2}^2 r_{3} r_{5} + 36 r_{2}^3 r_{3} r_{5} + 49 r_{1}^2 r_{3}^2 r_{5} + 109 r_{1} r_{2} r_{3}^2 r_{5} + 60 r_{2}^2 r_{3}^2 r_{5} + 40 r_{1} r_{3}^3 r_{5} + 44 r_{2} r_{3}^3 r_{5} + 12 r_{3}^4 r_{5} + 21 r_{1}^3 r_{4} r_{5} + 70 r_{1}^2 r_{2} r_{4} r_{5} + 77 r_{1} r_{2}^2 r_{4} r_{5} + 28 r_{2}^3 r_{4} r_{5} + 77 r_{1}^2 r_{3} r_{4} r_{5} + 169 r_{1} r_{2} r_{3} r_{4} r_{5} + 92 r_{2}^2 r_{3} r_{4} r_{5} + 92 r_{1} r_{3}^2 r_{4} r_{5} + 100 r_{2} r_{3}^2 r_{4} r_{5} + 36 r_{3}^3 r_{4} r_{5} + 28 r_{1}^2 r_{4}^2 r_{5} + 60 r_{1} r_{2} r_{4}^2 r_{5} + 32 r_{2}^2 r_{4}^2 r_{5} + 64 r_{1} r_{3} r_{4}^2 r_{5} + 68 r_{2} r_{3} r_{4}^2 r_{5} + 36 r_{3}^2 r_{4}^2 r_{5} + 12 r_{1} r_{4}^3 r_{5} + 12 r_{2} r_{4}^3 r_{5} + 12 r_{3} r_{4}^3 r_{5} + 4 r_{1}^3 r_{5}^2 + 13 r_{1}^2 r_{2} r_{5}^2 + 14 r_{1} r_{2}^2 r_{5}^2 + 5 r_{2}^3 r_{5}^2 + 14 r_{1}^2 r_{3} r_{5}^2 + 30 r_{1} r_{2} r_{3} r_{5}^2 + 16 r_{2}^2 r_{3} r_{5}^2 + 16 r_{1} r_{3}^2 r_{5}^2 + 17 r_{2} r_{3}^2 r_{5}^2 + 6 r_{3}^3 r_{5}^2 + 10 r_{1}^2 r_{4} r_{5}^2 + 21 r_{1} r_{2} r_{4} r_{5}^2 + 11 r_{2}^2 r_{4} r_{5}^2 + 22 r_{1} r_{3} r_{4} r_{5}^2 + 23 r_{2} r_{3} r_{4} r_{5}^2 + 12 r_{3}^2 r_{4} r_{5}^2 + 6 r_{1} r_{4}^2 r_{5}^2 + 6 r_{2} r_{4}^2 r_{5}^2 + 6 r_{3} r_{4}^2 r_{5}^2 + r_{1}^2 r_{5}^3 + 2 r_{1} r_{2} r_{5}^3 + r_{2}^2 r_{5}^3 + 2 r_{1} r_{3} r_{5}^3 + 2 r_{2} r_{3} r_{5}^3 + r_{3}^2 r_{5}^3 + r_{1} r_{4} r_{5}^3 + r_{2} r_{4} r_{5}^3 + r_{3} r_{4} r_{5}^3]s_{(543)}+[2 r_{1}^4 + 10 r_{1}^3 r_{2} + 18 r_{1}^2 r_{2}^2 + 14 r_{1} r_{2}^3 + 4 r_{2}^4 + 12 r_{1}^3 r_{3} + 44 r_{1}^2 r_{2} r_{3} + 52 r_{1} r_{2}^2 r_{3} + 20 r_{2}^3 r_{3} + 26 r_{1}^2 r_{3}^2 + 62 r_{1} r_{2} r_{3}^2 + 36 r_{2}^2 r_{3}^2 + 24 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 8 r_{3}^4 + 10 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 42 r_{1} r_{2}^2 r_{4} + 16 r_{2}^3 r_{4} + 42 r_{1}^2 r_{3} r_{4} + 98 r_{1} r_{2} r_{3} r_{4} + 56 r_{2}^2 r_{3} r_{4} + 56 r_{1} r_{3}^2 r_{4} + 64 r_{2} r_{3}^2 r_{4} + 24 r_{3}^3 r_{4} + 16 r_{1}^2 r_{4}^2 + 36 r_{1} r_{2} r_{4}^2 + 20 r_{2}^2 r_{4}^2 + 40 r_{1} r_{3} r_{4}^2 + 44 r_{2} r_{3} r_{4}^2 + 24 r_{3}^2 r_{4}^2 + 8 r_{1} r_{4}^3 + 8 r_{2} r_{4}^3 + 8 r_{3} r_{4}^3 + 5 r_{1}^3 r_{5} + 18 r_{1}^2 r_{2} r_{5} + 21 r_{1} r_{2}^2 r_{5} + 8 r_{2}^3 r_{5} + 21 r_{1}^2 r_{3} r_{5} + 49 r_{1} r_{2} r_{3} r_{5} + 28 r_{2}^2 r_{3} r_{5} + 28 r_{1} r_{3}^2 r_{5} + 32 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 16 r_{1}^2 r_{4} r_{5} + 36 r_{1} r_{2} r_{4} r_{5} + 20 r_{2}^2 r_{4} r_{5} + 40 r_{1} r_{3} r_{4} r_{5} + 44 r_{2} r_{3} r_{4} r_{5} + 24 r_{3}^2 r_{4} r_{5} + 12 r_{1} r_{4}^2 r_{5} + 12 r_{2} r_{4}^2 r_{5} + 12 r_{3} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 9 r_{1} r_{2} r_{5}^2 + 5 r_{2}^2 r_{5}^2 + 10 r_{1} r_{3} r_{5}^2 + 11 r_{2} r_{3} r_{5}^2 + 6 r_{3}^2 r_{5}^2 + 6 r_{1} r_{4} r_{5}^2 + 6 r_{2} r_{4} r_{5}^2 + 6 r_{3} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(5431)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 10 r_{1} r_{2}^2 + 4 r_{2}^3 + 10 r_{1}^2 r_{3} + 26 r_{1} r_{2} r_{3} + 16 r_{2}^2 r_{3} + 16 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 8 r_{3}^3 + 10 r_{1}^2 r_{4} + 26 r_{1} r_{2} r_{4} + 16 r_{2}^2 r_{4} + 32 r_{1} r_{3} r_{4} + 40 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 13 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 20 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5432)}$


$s_{(5431)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 14 r_{1}^4 r_{3} + 66 r_{1}^3 r_{2} r_{3} + 114 r_{1}^2 r_{2}^2 r_{3} + 86 r_{1} r_{2}^3 r_{3} + 24 r_{2}^4 r_{3} + 38 r_{1}^3 r_{3}^2 + 132 r_{1}^2 r_{2} r_{3}^2 + 150 r_{1} r_{2}^2 r_{3}^2 + 56 r_{2}^3 r_{3}^2 + 50 r_{1}^2 r_{3}^3 + 114 r_{1} r_{2} r_{3}^3 + 64 r_{2}^2 r_{3}^3 + 32 r_{1} r_{3}^4 + 36 r_{2} r_{3}^4 + 8 r_{3}^5 + 12 r_{1}^4 r_{4} + 56 r_{1}^3 r_{2} r_{4} + 96 r_{1}^2 r_{2}^2 r_{4} + 72 r_{1} r_{2}^3 r_{4} + 20 r_{2}^4 r_{4} + 64 r_{1}^3 r_{3} r_{4} + 220 r_{1}^2 r_{2} r_{3} r_{4} + 248 r_{1} r_{2}^2 r_{3} r_{4} + 92 r_{2}^3 r_{3} r_{4} + 124 r_{1}^2 r_{3}^2 r_{4} + 280 r_{1} r_{2} r_{3}^2 r_{4} + 156 r_{2}^2 r_{3}^2 r_{4} + 104 r_{1} r_{3}^3 r_{4} + 116 r_{2} r_{3}^3 r_{4} + 32 r_{3}^4 r_{4} + 26 r_{1}^3 r_{4}^2 + 88 r_{1}^2 r_{2} r_{4}^2 + 98 r_{1} r_{2}^2 r_{4}^2 + 36 r_{2}^3 r_{4}^2 + 98 r_{1}^2 r_{3} r_{4}^2 + 218 r_{1} r_{2} r_{3} r_{4}^2 + 120 r_{2}^2 r_{3} r_{4}^2 + 120 r_{1} r_{3}^2 r_{4}^2 + 132 r_{2} r_{3}^2 r_{4}^2 + 48 r_{3}^3 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 52 r_{1} r_{2} r_{4}^3 + 28 r_{2}^2 r_{4}^3 + 56 r_{1} r_{3} r_{4}^3 + 60 r_{2} r_{3} r_{4}^3 + 32 r_{3}^2 r_{4}^3 + 8 r_{1} r_{4}^4 + 8 r_{2} r_{4}^4 + 8 r_{3} r_{4}^4 + 7 r_{1}^4 r_{5} + 33 r_{1}^3 r_{2} r_{5} + 57 r_{1}^2 r_{2}^2 r_{5} + 43 r_{1} r_{2}^3 r_{5} + 12 r_{2}^4 r_{5} + 38 r_{1}^3 r_{3} r_{5} + 132 r_{1}^2 r_{2} r_{3} r_{5} + 150 r_{1} r_{2}^2 r_{3} r_{5} + 56 r_{2}^3 r_{3} r_{5} + 75 r_{1}^2 r_{3}^2 r_{5} + 171 r_{1} r_{2} r_{3}^2 r_{5} + 96 r_{2}^2 r_{3}^2 r_{5} + 64 r_{1} r_{3}^3 r_{5} + 72 r_{2} r_{3}^3 r_{5} + 20 r_{3}^4 r_{5} + 31 r_{1}^3 r_{4} r_{5} + 106 r_{1}^2 r_{2} r_{4} r_{5} + 119 r_{1} r_{2}^2 r_{4} r_{5} + 44 r_{2}^3 r_{4} r_{5} + 119 r_{1}^2 r_{3} r_{4} r_{5} + 267 r_{1} r_{2} r_{3} r_{4} r_{5} + 148 r_{2}^2 r_{3} r_{4} r_{5} + 148 r_{1} r_{3}^2 r_{4} r_{5} + 164 r_{2} r_{3}^2 r_{4} r_{5} + 60 r_{3}^3 r_{4} r_{5} + 44 r_{1}^2 r_{4}^2 r_{5} + 96 r_{1} r_{2} r_{4}^2 r_{5} + 52 r_{2}^2 r_{4}^2 r_{5} + 104 r_{1} r_{3} r_{4}^2 r_{5} + 112 r_{2} r_{3} r_{4}^2 r_{5} + 60 r_{3}^2 r_{4}^2 r_{5} + 20 r_{1} r_{4}^3 r_{5} + 20 r_{2} r_{4}^3 r_{5} + 20 r_{3} r_{4}^3 r_{5} + 9 r_{1}^3 r_{5}^2 + 31 r_{1}^2 r_{2} r_{5}^2 + 35 r_{1} r_{2}^2 r_{5}^2 + 13 r_{2}^3 r_{5}^2 + 35 r_{1}^2 r_{3} r_{5}^2 + 79 r_{1} r_{2} r_{3} r_{5}^2 + 44 r_{2}^2 r_{3} r_{5}^2 + 44 r_{1} r_{3}^2 r_{5}^2 + 49 r_{2} r_{3}^2 r_{5}^2 + 18 r_{3}^3 r_{5}^2 + 26 r_{1}^2 r_{4} r_{5}^2 + 57 r_{1} r_{2} r_{4} r_{5}^2 + 31 r_{2}^2 r_{4} r_{5}^2 + 62 r_{1} r_{3} r_{4} r_{5}^2 + 67 r_{2} r_{3} r_{4} r_{5}^2 + 36 r_{3}^2 r_{4} r_{5}^2 + 18 r_{1} r_{4}^2 r_{5}^2 + 18 r_{2} r_{4}^2 r_{5}^2 + 18 r_{3} r_{4}^2 r_{5}^2 + 5 r_{1}^2 r_{5}^3 + 11 r_{1} r_{2} r_{5}^3 + 6 r_{2}^2 r_{5}^3 + 12 r_{1} r_{3} r_{5}^3 + 13 r_{2} r_{3} r_{5}^3 + 7 r_{3}^2 r_{5}^3 + 7 r_{1} r_{4} r_{5}^3 + 7 r_{2} r_{4} r_{5}^3 + 7 r_{3} r_{4} r_{5}^3 + r_{1} r_{5}^4 + r_{2} r_{5}^4 + r_{3} r_{5}^4]s_{(5431)}+[4 r_{1}^4 + 20 r_{1}^3 r_{2} + 36 r_{1}^2 r_{2}^2 + 28 r_{1} r_{2}^3 + 8 r_{2}^4 + 24 r_{1}^3 r_{3} + 88 r_{1}^2 r_{2} r_{3} + 104 r_{1} r_{2}^2 r_{3} + 40 r_{2}^3 r_{3} + 52 r_{1}^2 r_{3}^2 + 124 r_{1} r_{2} r_{3}^2 + 72 r_{2}^2 r_{3}^2 + 48 r_{1} r_{3}^3 + 56 r_{2} r_{3}^3 + 16 r_{3}^4 + 24 r_{1}^3 r_{4} + 88 r_{1}^2 r_{2} r_{4} + 104 r_{1} r_{2}^2 r_{4} + 40 r_{2}^3 r_{4} + 104 r_{1}^2 r_{3} r_{4} + 248 r_{1} r_{2} r_{3} r_{4} + 144 r_{2}^2 r_{3} r_{4} + 144 r_{1} r_{3}^2 r_{4} + 168 r_{2} r_{3}^2 r_{4} + 64 r_{3}^3 r_{4} + 52 r_{1}^2 r_{4}^2 + 124 r_{1} r_{2} r_{4}^2 + 72 r_{2}^2 r_{4}^2 + 144 r_{1} r_{3} r_{4}^2 + 168 r_{2} r_{3} r_{4}^2 + 96 r_{3}^2 r_{4}^2 + 48 r_{1} r_{4}^3 + 56 r_{2} r_{4}^3 + 64 r_{3} r_{4}^3 + 16 r_{4}^4 + 12 r_{1}^3 r_{5} + 44 r_{1}^2 r_{2} r_{5} + 52 r_{1} r_{2}^2 r_{5} + 20 r_{2}^3 r_{5} + 52 r_{1}^2 r_{3} r_{5} + 124 r_{1} r_{2} r_{3} r_{5} + 72 r_{2}^2 r_{3} r_{5} + 72 r_{1} r_{3}^2 r_{5} + 84 r_{2} r_{3}^2 r_{5} + 32 r_{3}^3 r_{5} + 52 r_{1}^2 r_{4} r_{5} + 124 r_{1} r_{2} r_{4} r_{5} + 72 r_{2}^2 r_{4} r_{5} + 144 r_{1} r_{3} r_{4} r_{5} + 168 r_{2} r_{3} r_{4} r_{5} + 96 r_{3}^2 r_{4} r_{5} + 72 r_{1} r_{4}^2 r_{5} + 84 r_{2} r_{4}^2 r_{5} + 96 r_{3} r_{4}^2 r_{5} + 32 r_{4}^3 r_{5} + 13 r_{1}^2 r_{5}^2 + 31 r_{1} r_{2} r_{5}^2 + 18 r_{2}^2 r_{5}^2 + 36 r_{1} r_{3} r_{5}^2 + 42 r_{2} r_{3} r_{5}^2 + 24 r_{3}^2 r_{5}^2 + 36 r_{1} r_{4} r_{5}^2 + 42 r_{2} r_{4} r_{5}^2 + 48 r_{3} r_{4} r_{5}^2 + 24 r_{4}^2 r_{5}^2 + 6 r_{1} r_{5}^3 + 7 r_{2} r_{5}^3 + 8 r_{3} r_{5}^3 + 8 r_{4} r_{5}^3 + r_{5}^4]s_{(5432)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 10 r_{1} r_{2}^2 + 4 r_{2}^3 + 10 r_{1}^2 r_{3} + 26 r_{1} r_{2} r_{3} + 16 r_{2}^2 r_{3} + 16 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 8 r_{3}^3 + 10 r_{1}^2 r_{4} + 26 r_{1} r_{2} r_{4} + 16 r_{2}^2 r_{4} + 32 r_{1} r_{3} r_{4} + 40 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 13 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 20 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(54321)}$


$s_{(5432)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 14 r_{1}^4 r_{3} + 66 r_{1}^3 r_{2} r_{3} + 114 r_{1}^2 r_{2}^2 r_{3} + 86 r_{1} r_{2}^3 r_{3} + 24 r_{2}^4 r_{3} + 38 r_{1}^3 r_{3}^2 + 132 r_{1}^2 r_{2} r_{3}^2 + 150 r_{1} r_{2}^2 r_{3}^2 + 56 r_{2}^3 r_{3}^2 + 50 r_{1}^2 r_{3}^3 + 114 r_{1} r_{2} r_{3}^3 + 64 r_{2}^2 r_{3}^3 + 32 r_{1} r_{3}^4 + 36 r_{2} r_{3}^4 + 8 r_{3}^5 + 16 r_{1}^4 r_{4} + 76 r_{1}^3 r_{2} r_{4} + 132 r_{1}^2 r_{2}^2 r_{4} + 100 r_{1} r_{2}^3 r_{4} + 28 r_{2}^4 r_{4} + 88 r_{1}^3 r_{3} r_{4} + 308 r_{1}^2 r_{2} r_{3} r_{4} + 352 r_{1} r_{2}^2 r_{3} r_{4} + 132 r_{2}^3 r_{3} r_{4} + 176 r_{1}^2 r_{3}^2 r_{4} + 404 r_{1} r_{2} r_{3}^2 r_{4} + 228 r_{2}^2 r_{3}^2 r_{4} + 152 r_{1} r_{3}^3 r_{4} + 172 r_{2} r_{3}^3 r_{4} + 48 r_{3}^4 r_{4} + 50 r_{1}^3 r_{4}^2 + 176 r_{1}^2 r_{2} r_{4}^2 + 202 r_{1} r_{2}^2 r_{4}^2 + 76 r_{2}^3 r_{4}^2 + 202 r_{1}^2 r_{3} r_{4}^2 + 466 r_{1} r_{2} r_{3} r_{4}^2 + 264 r_{2}^2 r_{3} r_{4}^2 + 264 r_{1} r_{3}^2 r_{4}^2 + 300 r_{2} r_{3}^2 r_{4}^2 + 112 r_{3}^3 r_{4}^2 + 76 r_{1}^2 r_{4}^3 + 176 r_{1} r_{2} r_{4}^3 + 100 r_{2}^2 r_{4}^3 + 200 r_{1} r_{3} r_{4}^3 + 228 r_{2} r_{3} r_{4}^3 + 128 r_{3}^2 r_{4}^3 + 56 r_{1} r_{4}^4 + 64 r_{2} r_{4}^4 + 72 r_{3} r_{4}^4 + 16 r_{4}^5 + 7 r_{1}^4 r_{5} + 33 r_{1}^3 r_{2} r_{5} + 57 r_{1}^2 r_{2}^2 r_{5} + 43 r_{1} r_{2}^3 r_{5} + 12 r_{2}^4 r_{5} + 38 r_{1}^3 r_{3} r_{5} + 132 r_{1}^2 r_{2} r_{3} r_{5} + 150 r_{1} r_{2}^2 r_{3} r_{5} + 56 r_{2}^3 r_{3} r_{5} + 75 r_{1}^2 r_{3}^2 r_{5} + 171 r_{1} r_{2} r_{3}^2 r_{5} + 96 r_{2}^2 r_{3}^2 r_{5} + 64 r_{1} r_{3}^3 r_{5} + 72 r_{2} r_{3}^3 r_{5} + 20 r_{3}^4 r_{5} + 43 r_{1}^3 r_{4} r_{5} + 150 r_{1}^2 r_{2} r_{4} r_{5} + 171 r_{1} r_{2}^2 r_{4} r_{5} + 64 r_{2}^3 r_{4} r_{5} + 171 r_{1}^2 r_{3} r_{4} r_{5} + 391 r_{1} r_{2} r_{3} r_{4} r_{5} + 220 r_{2}^2 r_{3} r_{4} r_{5} + 220 r_{1} r_{3}^2 r_{4} r_{5} + 248 r_{2} r_{3}^2 r_{4} r_{5} + 92 r_{3}^3 r_{4} r_{5} + 96 r_{1}^2 r_{4}^2 r_{5} + 220 r_{1} r_{2} r_{4}^2 r_{5} + 124 r_{2}^2 r_{4}^2 r_{5} + 248 r_{1} r_{3} r_{4}^2 r_{5} + 280 r_{2} r_{3} r_{4}^2 r_{5} + 156 r_{3}^2 r_{4}^2 r_{5} + 92 r_{1} r_{4}^3 r_{5} + 104 r_{2} r_{4}^3 r_{5} + 116 r_{3} r_{4}^3 r_{5} + 32 r_{4}^4 r_{5} + 9 r_{1}^3 r_{5}^2 + 31 r_{1}^2 r_{2} r_{5}^2 + 35 r_{1} r_{2}^2 r_{5}^2 + 13 r_{2}^3 r_{5}^2 + 35 r_{1}^2 r_{3} r_{5}^2 + 79 r_{1} r_{2} r_{3} r_{5}^2 + 44 r_{2}^2 r_{3} r_{5}^2 + 44 r_{1} r_{3}^2 r_{5}^2 + 49 r_{2} r_{3}^2 r_{5}^2 + 18 r_{3}^3 r_{5}^2 + 39 r_{1}^2 r_{4} r_{5}^2 + 88 r_{1} r_{2} r_{4} r_{5}^2 + 49 r_{2}^2 r_{4} r_{5}^2 + 98 r_{1} r_{3} r_{4} r_{5}^2 + 109 r_{2} r_{3} r_{4} r_{5}^2 + 60 r_{3}^2 r_{4} r_{5}^2 + 54 r_{1} r_{4}^2 r_{5}^2 + 60 r_{2} r_{4}^2 r_{5}^2 + 66 r_{3} r_{4}^2 r_{5}^2 + 24 r_{4}^3 r_{5}^2 + 5 r_{1}^2 r_{5}^3 + 11 r_{1} r_{2} r_{5}^3 + 6 r_{2}^2 r_{5}^3 + 12 r_{1} r_{3} r_{5}^3 + 13 r_{2} r_{3} r_{5}^3 + 7 r_{3}^2 r_{5}^3 + 13 r_{1} r_{4} r_{5}^3 + 14 r_{2} r_{4} r_{5}^3 + 15 r_{3} r_{4} r_{5}^3 + 8 r_{4}^2 r_{5}^3 + r_{1} r_{5}^4 + r_{2} r_{5}^4 + r_{3} r_{5}^4 + r_{4} r_{5}^4]s_{(5432)}+[2 r_{1}^4 + 10 r_{1}^3 r_{2} + 18 r_{1}^2 r_{2}^2 + 14 r_{1} r_{2}^3 + 4 r_{2}^4 + 12 r_{1}^3 r_{3} + 44 r_{1}^2 r_{2} r_{3} + 52 r_{1} r_{2}^2 r_{3} + 20 r_{2}^3 r_{3} + 26 r_{1}^2 r_{3}^2 + 62 r_{1} r_{2} r_{3}^2 + 36 r_{2}^2 r_{3}^2 + 24 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 8 r_{3}^4 + 14 r_{1}^3 r_{4} + 52 r_{1}^2 r_{2} r_{4} + 62 r_{1} r_{2}^2 r_{4} + 24 r_{2}^3 r_{4} + 62 r_{1}^2 r_{3} r_{4} + 150 r_{1} r_{2} r_{3} r_{4} + 88 r_{2}^2 r_{3} r_{4} + 88 r_{1} r_{3}^2 r_{4} + 104 r_{2} r_{3}^2 r_{4} + 40 r_{3}^3 r_{4} + 36 r_{1}^2 r_{4}^2 + 88 r_{1} r_{2} r_{4}^2 + 52 r_{2}^2 r_{4}^2 + 104 r_{1} r_{3} r_{4}^2 + 124 r_{2} r_{3} r_{4}^2 + 72 r_{3}^2 r_{4}^2 + 40 r_{1} r_{4}^3 + 48 r_{2} r_{4}^3 + 56 r_{3} r_{4}^3 + 16 r_{4}^4 + 7 r_{1}^3 r_{5} + 26 r_{1}^2 r_{2} r_{5} + 31 r_{1} r_{2}^2 r_{5} + 12 r_{2}^3 r_{5} + 31 r_{1}^2 r_{3} r_{5} + 75 r_{1} r_{2} r_{3} r_{5} + 44 r_{2}^2 r_{3} r_{5} + 44 r_{1} r_{3}^2 r_{5} + 52 r_{2} r_{3}^2 r_{5} + 20 r_{3}^3 r_{5} + 36 r_{1}^2 r_{4} r_{5} + 88 r_{1} r_{2} r_{4} r_{5} + 52 r_{2}^2 r_{4} r_{5} + 104 r_{1} r_{3} r_{4} r_{5} + 124 r_{2} r_{3} r_{4} r_{5} + 72 r_{3}^2 r_{4} r_{5} + 60 r_{1} r_{4}^2 r_{5} + 72 r_{2} r_{4}^2 r_{5} + 84 r_{3} r_{4}^2 r_{5} + 32 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 22 r_{1} r_{2} r_{5}^2 + 13 r_{2}^2 r_{5}^2 + 26 r_{1} r_{3} r_{5}^2 + 31 r_{2} r_{3} r_{5}^2 + 18 r_{3}^2 r_{5}^2 + 30 r_{1} r_{4} r_{5}^2 + 36 r_{2} r_{4} r_{5}^2 + 42 r_{3} r_{4} r_{5}^2 + 24 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 6 r_{2} r_{5}^3 + 7 r_{3} r_{5}^3 + 8 r_{4} r_{5}^3 + r_{5}^4]s_{(54321)}$


$s_{(54321)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 14 r_{1}^4 r_{3} + 66 r_{1}^3 r_{2} r_{3} + 114 r_{1}^2 r_{2}^2 r_{3} + 86 r_{1} r_{2}^3 r_{3} + 24 r_{2}^4 r_{3} + 38 r_{1}^3 r_{3}^2 + 132 r_{1}^2 r_{2} r_{3}^2 + 150 r_{1} r_{2}^2 r_{3}^2 + 56 r_{2}^3 r_{3}^2 + 50 r_{1}^2 r_{3}^3 + 114 r_{1} r_{2} r_{3}^3 + 64 r_{2}^2 r_{3}^3 + 32 r_{1} r_{3}^4 + 36 r_{2} r_{3}^4 + 8 r_{3}^5 + 16 r_{1}^4 r_{4} + 76 r_{1}^3 r_{2} r_{4} + 132 r_{1}^2 r_{2}^2 r_{4} + 100 r_{1} r_{2}^3 r_{4} + 28 r_{2}^4 r_{4} + 88 r_{1}^3 r_{3} r_{4} + 308 r_{1}^2 r_{2} r_{3} r_{4} + 352 r_{1} r_{2}^2 r_{3} r_{4} + 132 r_{2}^3 r_{3} r_{4} + 176 r_{1}^2 r_{3}^2 r_{4} + 404 r_{1} r_{2} r_{3}^2 r_{4} + 228 r_{2}^2 r_{3}^2 r_{4} + 152 r_{1} r_{3}^3 r_{4} + 172 r_{2} r_{3}^3 r_{4} + 48 r_{3}^4 r_{4} + 50 r_{1}^3 r_{4}^2 + 176 r_{1}^2 r_{2} r_{4}^2 + 202 r_{1} r_{2}^2 r_{4}^2 + 76 r_{2}^3 r_{4}^2 + 202 r_{1}^2 r_{3} r_{4}^2 + 466 r_{1} r_{2} r_{3} r_{4}^2 + 264 r_{2}^2 r_{3} r_{4}^2 + 264 r_{1} r_{3}^2 r_{4}^2 + 300 r_{2} r_{3}^2 r_{4}^2 + 112 r_{3}^3 r_{4}^2 + 76 r_{1}^2 r_{4}^3 + 176 r_{1} r_{2} r_{4}^3 + 100 r_{2}^2 r_{4}^3 + 200 r_{1} r_{3} r_{4}^3 + 228 r_{2} r_{3} r_{4}^3 + 128 r_{3}^2 r_{4}^3 + 56 r_{1} r_{4}^4 + 64 r_{2} r_{4}^4 + 72 r_{3} r_{4}^4 + 16 r_{4}^5 + 9 r_{1}^4 r_{5} + 43 r_{1}^3 r_{2} r_{5} + 75 r_{1}^2 r_{2}^2 r_{5} + 57 r_{1} r_{2}^3 r_{5} + 16 r_{2}^4 r_{5} + 50 r_{1}^3 r_{3} r_{5} + 176 r_{1}^2 r_{2} r_{3} r_{5} + 202 r_{1} r_{2}^2 r_{3} r_{5} + 76 r_{2}^3 r_{3} r_{5} + 101 r_{1}^2 r_{3}^2 r_{5} + 233 r_{1} r_{2} r_{3}^2 r_{5} + 132 r_{2}^2 r_{3}^2 r_{5} + 88 r_{1} r_{3}^3 r_{5} + 100 r_{2} r_{3}^3 r_{5} + 28 r_{3}^4 r_{5} + 57 r_{1}^3 r_{4} r_{5} + 202 r_{1}^2 r_{2} r_{4} r_{5} + 233 r_{1} r_{2}^2 r_{4} r_{5} + 88 r_{2}^3 r_{4} r_{5} + 233 r_{1}^2 r_{3} r_{4} r_{5} + 541 r_{1} r_{2} r_{3} r_{4} r_{5} + 308 r_{2}^2 r_{3} r_{4} r_{5} + 308 r_{1} r_{3}^2 r_{4} r_{5} + 352 r_{2} r_{3}^2 r_{4} r_{5} + 132 r_{3}^3 r_{4} r_{5} + 132 r_{1}^2 r_{4}^2 r_{5} + 308 r_{1} r_{2} r_{4}^2 r_{5} + 176 r_{2}^2 r_{4}^2 r_{5} + 352 r_{1} r_{3} r_{4}^2 r_{5} + 404 r_{2} r_{3} r_{4}^2 r_{5} + 228 r_{3}^2 r_{4}^2 r_{5} + 132 r_{1} r_{4}^3 r_{5} + 152 r_{2} r_{4}^3 r_{5} + 172 r_{3} r_{4}^3 r_{5} + 48 r_{4}^4 r_{5} + 16 r_{1}^3 r_{5}^2 + 57 r_{1}^2 r_{2} r_{5}^2 + 66 r_{1} r_{2}^2 r_{5}^2 + 25 r_{2}^3 r_{5}^2 + 66 r_{1}^2 r_{3} r_{5}^2 + 154 r_{1} r_{2} r_{3} r_{5}^2 + 88 r_{2}^2 r_{3} r_{5}^2 + 88 r_{1} r_{3}^2 r_{5}^2 + 101 r_{2} r_{3}^2 r_{5}^2 + 38 r_{3}^3 r_{5}^2 + 75 r_{1}^2 r_{4} r_{5}^2 + 176 r_{1} r_{2} r_{4} r_{5}^2 + 101 r_{2}^2 r_{4} r_{5}^2 + 202 r_{1} r_{3} r_{4} r_{5}^2 + 233 r_{2} r_{3} r_{4} r_{5}^2 + 132 r_{3}^2 r_{4} r_{5}^2 + 114 r_{1} r_{4}^2 r_{5}^2 + 132 r_{2} r_{4}^2 r_{5}^2 + 150 r_{3} r_{4}^2 r_{5}^2 + 56 r_{4}^3 r_{5}^2 + 14 r_{1}^2 r_{5}^3 + 33 r_{1} r_{2} r_{5}^3 + 19 r_{2}^2 r_{5}^3 + 38 r_{1} r_{3} r_{5}^3 + 44 r_{2} r_{3} r_{5}^3 + 25 r_{3}^2 r_{5}^3 + 43 r_{1} r_{4} r_{5}^3 + 50 r_{2} r_{4} r_{5}^3 + 57 r_{3} r_{4} r_{5}^3 + 32 r_{4}^2 r_{5}^3 + 6 r_{1} r_{5}^4 + 7 r_{2} r_{5}^4 + 8 r_{3} r_{5}^4 + 9 r_{4} r_{5}^4 + r_{5}^5]s_{(54321)}$


</math>

Restore
July 19, 2008, at 01:43 PM by 76.19.231.158
Changed line 33 from:

$s_{(1)}\cdot s_{(1)}=[r_{5}]s_{(1)}+2s_{(2)}$\\\\

to:

s_{(1)}\cdot s_{(1)}=[r_{5}]s_{(1)}+2s_{(2)}\\\\

Restore
July 19, 2008, at 01:42 PM by 76.19.231.158
Added lines 32-188:

<math> $s_{(1)}\cdot s_{(1)}=[r_{5}]s_{(1)}+2s_{(2)}$


$s_{(2)}\cdot s_{(1)}=[2 r_{4} + r_{5}]s_{(2)}+1s_{(21)}+2s_{(3)}$


$s_{(21)}\cdot s_{(1)}=[2 r_{4} + 2 r_{5}]s_{(21)}+2s_{(31)}$


$s_{(3)}\cdot s_{(1)}=[2 r_{3} + 2 r_{4} + r_{5}]s_{(3)}+1s_{(31)}+2s_{(4)}$


$s_{(31)}\cdot s_{(1)}=[2 r_{3} + 2 r_{4} + 2 r_{5}]s_{(31)}+2s_{(32)}+2s_{(41)}$


$s_{(32)}\cdot s_{(1)}=[2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(32)}+1s_{(321)}+2s_{(42)}$


$s_{(321)}\cdot s_{(1)}=[2 r_{3} + 4 r_{4} + 3 r_{5}]s_{(321)}+2s_{(421)}$


$s_{(4)}\cdot s_{(1)}=[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(4)}+1s_{(41)}+2s_{(5)}$


$s_{(41)}\cdot s_{(1)}=[2 r_{2} + 2 r_{3} + 2 r_{4} + 2 r_{5}]s_{(41)}+2s_{(42)}+2s_{(51)}$


$s_{(42)}\cdot s_{(1)}=[2 r_{2} + 2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(42)}+1s_{(421)}+2s_{(43)}+2s_{(52)}$


$s_{(421)}\cdot s_{(1)}=[2 r_{2} + 2 r_{3} + 4 r_{4} + 3 r_{5}]s_{(421)}+2s_{(431)}+2s_{(521)}$


$s_{(43)}\cdot s_{(1)}=[2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(43)}+1s_{(431)}+2s_{(53)}$


$s_{(431)}\cdot s_{(1)}=[2 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(431)}+2s_{(432)}+2s_{(531)}$


$s_{(432)}\cdot s_{(1)}=[2 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(432)}+1s_{(4321)}+2s_{(532)}$


$s_{(4321)}\cdot s_{(1)}=[2 r_{2} + 4 r_{3} + 6 r_{4} + 4 r_{5}]s_{(4321)}+2s_{(5321)}$


$s_{(5)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5)}+1s_{(51)}$


$s_{(51)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + 2 r_{5}]s_{(51)}+2s_{(52)}$


$s_{(52)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(52)}+1s_{(521)}+2s_{(53)}$


$s_{(521)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 2 r_{3} + 4 r_{4} + 3 r_{5}]s_{(521)}+2s_{(531)}$


$s_{(53)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(53)}+1s_{(531)}+2s_{(54)}$


$s_{(531)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(531)}+2s_{(532)}+2s_{(541)}$


$s_{(532)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(532)}+1s_{(5321)}+2s_{(542)}$


$s_{(5321)}\cdot s_{(1)}=[2 r_{1} + 2 r_{2} + 4 r_{3} + 6 r_{4} + 4 r_{5}]s_{(5321)}+2s_{(5421)}$


$s_{(54)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(54)}+1s_{(541)}$


$s_{(541)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(541)}+2s_{(542)}$


$s_{(542)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(542)}+1s_{(5421)}+2s_{(543)}$


$s_{(5421)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 4 r_{5}]s_{(5421)}+2s_{(5431)}$


$s_{(543)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(543)}+1s_{(5431)}$


$s_{(5431)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 4 r_{5}]s_{(5431)}+2s_{(5432)}$


$s_{(5432)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 4 r_{5}]s_{(5432)}+1s_{(54321)}$


$s_{(54321)}\cdot s_{(1)}=[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 5 r_{5}]s_{(54321)}$


$s_{(1)}\cdot s_{(2)}=[2 r_{4} + r_{5}]s_{(2)}+1s_{(21)}+2s_{(3)}$


$s_{(2)}\cdot s_{(2)}=[2 r_{4}^2 + r_{4} r_{5}]s_{(2)}+[2 r_{4} + r_{5}]s_{(21)}+[2 r_{3} + 4 r_{4} + r_{5}]s_{(3)}+2s_{(31)}+2s_{(4)}$


$s_{(21)}\cdot s_{(2)}=[2 r_{4}^2 + 3 r_{4} r_{5} + r_{5}^2]s_{(21)}+[2 r_{3} + 4 r_{4} + 3 r_{5}]s_{(31)}+2s_{(32)}+2s_{(41)}$


$s_{(3)}\cdot s_{(2)}=[2 r_{3}^2 + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{3} r_{5} + r_{4} r_{5}]s_{(3)}+[2 r_{3} + 2 r_{4} + r_{5}]s_{(31)}+1s_{(32)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(4)}+2s_{(41)}+2s_{(5)}$


$s_{(31)}\cdot s_{(2)}=[2 r_{3}^2 + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(31)}+[4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(32)}+1s_{(321)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(41)}+4s_{(42)}+2s_{(51)}$


$s_{(32)}\cdot s_{(2)}=[2 r_{3}^2 + 8 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(32)}+[2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(321)}+[2 r_{2} + 4 r_{3} + 8 r_{4} + 3 r_{5}]s_{(42)}+2s_{(421)}+2s_{(43)}+2s_{(52)}$


$s_{(321)}\cdot s_{(2)}=[2 r_{3}^2 + 8 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(321)}+[2 r_{2} + 4 r_{3} + 8 r_{4} + 5 r_{5}]s_{(421)}+2s_{(431)}+2s_{(521)}$


$s_{(4)}\cdot s_{(2)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(4)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(41)}+1s_{(42)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(5)}+2s_{(51)}$


$s_{(41)}\cdot s_{(2)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(41)}+[4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(42)}+1s_{(421)}+2s_{(43)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(51)}+4s_{(52)}$


$s_{(42)}\cdot s_{(2)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(42)}+[2 r_{2} + 2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(421)}+[4 r_{2} + 6 r_{3} + 8 r_{4} + 3 r_{5}]s_{(43)}+2s_{(431)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 8 r_{4} + 3 r_{5}]s_{(52)}+2s_{(521)}+4s_{(53)}$


$s_{(421)}\cdot s_{(2)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{2} r_{5} + 5 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(421)}+[4 r_{2} + 6 r_{3} + 8 r_{4} + 5 r_{5}]s_{(431)}+2s_{(432)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 8 r_{4} + 5 r_{5}]s_{(521)}+4s_{(531)}$


$s_{(43)}\cdot s_{(2)}=[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(43)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(431)}+1s_{(432)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 8 r_{4} + 3 r_{5}]s_{(53)}+2s_{(531)}+2s_{(54)}$


$s_{(431)}\cdot s_{(2)}=[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(431)}+[4 r_{2} + 8 r_{3} + 10 r_{4} + 5 r_{5}]s_{(432)}+1s_{(4321)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 8 r_{4} + 5 r_{5}]s_{(531)}+4s_{(532)}+2s_{(541)}$


$s_{(432)}\cdot s_{(2)}=[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 15 r_{4} r_{5} + 3 r_{5}^2]s_{(432)}+[2 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(4321)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 12 r_{4} + 5 r_{5}]s_{(532)}+2s_{(5321)}+2s_{(542)}$


$s_{(4321)}\cdot s_{(2)}=[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 7 r_{2} r_{5} + 14 r_{3} r_{5} + 21 r_{4} r_{5} + 6 r_{5}^2]s_{(4321)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 12 r_{4} + 7 r_{5}]s_{(5321)}+2s_{(5421)}$


$s_{(5)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(5)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(51)}+1s_{(52)}$


$s_{(51)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(51)}+[4 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(52)}+1s_{(521)}+2s_{(53)}$


$s_{(52)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(521)}+[4 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 3 r_{5}]s_{(53)}+2s_{(531)}+2s_{(54)}$


$s_{(521)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{1} r_{5} + 5 r_{2} r_{5} + 5 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(521)}+[4 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 5 r_{5}]s_{(531)}+2s_{(532)}+2s_{(541)}$


$s_{(53)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(53)}+[2 r_{1} + 2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(531)}+1s_{(532)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 3 r_{5}]s_{(54)}+2s_{(541)}$


$s_{(531)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{1} r_{5} + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(531)}+[4 r_{1} + 4 r_{2} + 8 r_{3} + 10 r_{4} + 5 r_{5}]s_{(532)}+1s_{(5321)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 5 r_{5}]s_{(541)}+4s_{(542)}$


$s_{(532)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{1} r_{4} + 12 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 5 r_{1} r_{5} + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 15 r_{4} r_{5} + 3 r_{5}^2]s_{(532)}+[2 r_{1} + 2 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5321)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 12 r_{4} + 5 r_{5}]s_{(542)}+2s_{(5421)}+2s_{(543)}$


$s_{(5321)}\cdot s_{(2)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{1} r_{4} + 12 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 7 r_{1} r_{5} + 7 r_{2} r_{5} + 14 r_{3} r_{5} + 21 r_{4} r_{5} + 6 r_{5}^2]s_{(5321)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 12 r_{4} + 7 r_{5}]s_{(5421)}+2s_{(5431)}$


$s_{(54)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 6 r_{4} r_{5} + r_{5}^2]s_{(54)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(541)}+1s_{(542)}$


$s_{(541)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 8 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 10 r_{4} r_{5} + 3 r_{5}^2]s_{(541)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 10 r_{4} + 5 r_{5}]s_{(542)}+1s_{(5421)}+2s_{(543)}$


$s_{(542)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 15 r_{4} r_{5} + 3 r_{5}^2]s_{(542)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5421)}+[4 r_{1} + 8 r_{2} + 10 r_{3} + 12 r_{4} + 5 r_{5}]s_{(543)}+2s_{(5431)}$


$s_{(5421)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 24 r_{3} r_{4} + 18 r_{4}^2 + 7 r_{1} r_{5} + 14 r_{2} r_{5} + 14 r_{3} r_{5} + 21 r_{4} r_{5} + 6 r_{5}^2]s_{(5421)}+[4 r_{1} + 8 r_{2} + 10 r_{3} + 12 r_{4} + 7 r_{5}]s_{(5431)}+2s_{(5432)}$


$s_{(543)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 36 r_{3} r_{4} + 18 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 15 r_{3} r_{5} + 15 r_{4} r_{5} + 3 r_{5}^2]s_{(543)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5431)}+1s_{(5432)}$


$s_{(5431)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 36 r_{3} r_{4} + 18 r_{4}^2 + 7 r_{1} r_{5} + 14 r_{2} r_{5} + 21 r_{3} r_{5} + 21 r_{4} r_{5} + 6 r_{5}^2]s_{(5431)}+[4 r_{1} + 8 r_{2} + 12 r_{3} + 14 r_{4} + 7 r_{5}]s_{(5432)}+1s_{(54321)}$


$s_{(5432)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 48 r_{3} r_{4} + 32 r_{4}^2 + 7 r_{1} r_{5} + 14 r_{2} r_{5} + 21 r_{3} r_{5} + 28 r_{4} r_{5} + 6 r_{5}^2]s_{(5432)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 4 r_{5}]s_{(54321)}$


$s_{(54321)}\cdot s_{(2)}=[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 48 r_{3} r_{4} + 32 r_{4}^2 + 9 r_{1} r_{5} + 18 r_{2} r_{5} + 27 r_{3} r_{5} + 36 r_{4} r_{5} + 10 r_{5}^2]s_{(54321)}$


$s_{(1)}\cdot s_{(3)}=[2 r_{3} + 2 r_{4} + r_{5}]s_{(3)}+1s_{(31)}+2s_{(4)}$


$s_{(2)}\cdot s_{(3)}=[2 r_{3}^2 + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{3} r_{5} + r_{4} r_{5}]s_{(3)}+[2 r_{3} + 2 r_{4} + r_{5}]s_{(31)}+1s_{(32)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(4)}+2s_{(41)}+2s_{(5)}$


$s_{(21)}\cdot s_{(3)}=[2 r_{3}^2 + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(31)}+[2 r_{3} + 2 r_{4} + r_{5}]s_{(32)}+1s_{(321)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(41)}+2s_{(42)}+2s_{(51)}$


$s_{(3)}\cdot s_{(3)}=[2 r_{3}^3 + 4 r_{3}^2 r_{4} + 2 r_{3} r_{4}^2 + r_{3}^2 r_{5} + r_{3} r_{4} r_{5}]s_{(3)}+[2 r_{3}^2 + 2 r_{3} r_{4} + r_{3} r_{5}]s_{(31)}+[2 r_{3} + 2 r_{4} + r_{5}]s_{(32)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + r_{2} r_{5} + 2 r_{3} r_{5} + r_{4} r_{5}]s_{(4)}+[2 r_{2} + 4 r_{3} + 2 r_{4} + r_{5}]s_{(41)}+2s_{(42)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 4 r_{4} + r_{5}]s_{(5)}+2s_{(51)}$


$s_{(31)}\cdot s_{(3)}=[2 r_{3}^3 + 4 r_{3}^2 r_{4} + 2 r_{3} r_{4}^2 + 3 r_{3}^2 r_{5} + 3 r_{3} r_{4} r_{5} + r_{3} r_{5}^2]s_{(31)}+[4 r_{3}^2 + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(32)}+[2 r_{3} + 2 r_{4} + r_{5}]s_{(321)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(41)}+[4 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(42)}+2s_{(421)}+2s_{(43)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 4 r_{4} + 3 r_{5}]s_{(51)}+4s_{(52)}$


$s_{(32)}\cdot s_{(3)}=[2 r_{3}^3 + 8 r_{3}^2 r_{4} + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{3}^2 r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(32)}+[2 r_{3}^2 + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(321)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(42)}+[2 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(421)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(43)}+2s_{(431)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 3 r_{5}]s_{(52)}+2s_{(521)}+2s_{(53)}$


$s_{(321)}\cdot s_{(3)}=[2 r_{3}^3 + 8 r_{3}^2 r_{4} + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{3}^2 r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(321)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(421)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(431)}+2s_{(432)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 5 r_{5}]s_{(521)}+2s_{(531)}$


$s_{(4)}\cdot s_{(3)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{2}^2 r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{2}^2 r_{5} + 2 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(4)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{2} r_{4} + 2 r_{3} r_{4} + r_{2} r_{5} + r_{3} r_{5}]s_{(41)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(42)}+1s_{(43)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + 2 r_{2} r_{5} + 2 r_{3} r_{5} + r_{4} r_{5}]s_{(5)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 2 r_{4} + r_{5}]s_{(51)}+2s_{(52)}$


$s_{(41)}\cdot s_{(3)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{2}^2 r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{2}^2 r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(41)}+[4 r_{2}^2 + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(42)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(421)}+[4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(43)}+1s_{(431)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(51)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(52)}+2s_{(521)}+4s_{(53)}$


$s_{(42)}\cdot s_{(3)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{2}^2 r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{2}^2 r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(42)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(421)}+[4 r_{2}^2 + 12 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 4 r_{2} r_{5} + 7 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(43)}+[4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(431)}+1s_{(432)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(521)}+[4 r_{1} + 8 r_{2} + 12 r_{3} + 12 r_{4} + 4 r_{5}]s_{(53)}+4s_{(531)}+2s_{(54)}$


$s_{(421)}\cdot s_{(3)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{2}^2 r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{2}^2 r_{5} + 10 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(421)}+[4 r_{2}^2 + 12 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 8 r_{2} r_{5} + 13 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(431)}+[4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(432)}+1s_{(4321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(521)}+[4 r_{1} + 8 r_{2} + 12 r_{3} + 12 r_{4} + 8 r_{5}]s_{(531)}+4s_{(532)}+2s_{(541)}$


$s_{(43)}\cdot s_{(3)}=[2 r_{2}^3 + 10 r_{2}^2 r_{3} + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{2}^2 r_{4} + 28 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{2}^2 r_{5} + 10 r_{2} r_{3} r_{5} + 10 r_{3}^2 r_{5} + 7 r_{2} r_{4} r_{5} + 14 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{2} r_{5}^2 + 2 r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(43)}+[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 6 r_{2} r_{4} + 12 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(431)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(432)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 18 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 28 r_{3} r_{4} + 10 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 10 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(53)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 6 r_{4} + 3 r_{5}]s_{(531)}+2s_{(532)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 4 r_{4} + r_{5}]s_{(54)}+2s_{(541)}$


$s_{(431)}\cdot s_{(3)}=[2 r_{2}^3 + 10 r_{2}^2 r_{3} + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{2}^2 r_{4} + 28 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{2}^2 r_{5} + 18 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 13 r_{2} r_{4} r_{5} + 26 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(431)}+[4 r_{2}^2 + 16 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(432)}+[2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(4321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 18 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 28 r_{3} r_{4} + 10 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 18 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(531)}+[4 r_{1} + 8 r_{2} + 16 r_{3} + 16 r_{4} + 8 r_{5}]s_{(532)}+2s_{(5321)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 4 r_{4} + 3 r_{5}]s_{(541)}+4s_{(542)}$


$s_{(432)}\cdot s_{(3)}=[2 r_{2}^3 + 10 r_{2}^2 r_{3} + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{2}^2 r_{4} + 44 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 5 r_{2}^2 r_{5} + 18 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 21 r_{2} r_{4} r_{5} + 42 r_{3} r_{4} r_{5} + 24 r_{4}^2 r_{5} + 4 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 9 r_{4} r_{5}^2 + r_{5}^3]s_{(432)}+[2 r_{2}^2 + 8 r_{2} r_{3} + 8 r_{3}^2 + 10 r_{2} r_{4} + 20 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(4321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 44 r_{3} r_{4} + 26 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 18 r_{3} r_{5} + 21 r_{4} r_{5} + 4 r_{5}^2]s_{(532)}+[2 r_{1} + 4 r_{2} + 8 r_{3} + 10 r_{4} + 5 r_{5}]s_{(5321)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 3 r_{5}]s_{(542)}+2s_{(5421)}+2s_{(543)}$


$s_{(4321)}\cdot s_{(3)}=[2 r_{2}^3 + 10 r_{2}^2 r_{3} + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{2}^2 r_{4} + 44 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 7 r_{2}^2 r_{5} + 26 r_{2} r_{3} r_{5} + 26 r_{3}^2 r_{5} + 31 r_{2} r_{4} r_{5} + 62 r_{3} r_{4} r_{5} + 36 r_{4}^2 r_{5} + 9 r_{2} r_{5}^2 + 18 r_{3} r_{5}^2 + 21 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(4321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 44 r_{3} r_{4} + 26 r_{4}^2 + 7 r_{1} r_{5} + 14 r_{2} r_{5} + 26 r_{3} r_{5} + 31 r_{4} r_{5} + 9 r_{5}^2]s_{(5321)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 8 r_{4} + 5 r_{5}]s_{(5421)}+2s_{(5431)}$


$s_{(5)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{1}^2 r_{5} + 2 r_{1} r_{2} r_{5} + r_{2}^2 r_{5} + 2 r_{1} r_{3} r_{5} + 2 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{1} r_{4} r_{5} + r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{1} r_{4} + 2 r_{2} r_{4} + 2 r_{3} r_{4} + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5}]s_{(51)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(52)}+1s_{(53)}$


$s_{(51)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{1} r_{4} r_{5} + 3 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(521)}+[4 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(53)}+1s_{(531)}+2s_{(54)}$


$s_{(52)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 7 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(521)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 12 r_{1} r_{3} + 12 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 12 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 7 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(53)}+[4 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(531)}+1s_{(532)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 3 r_{5}]s_{(54)}+2s_{(541)}$


$s_{(521)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 10 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 13 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(521)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 12 r_{1} r_{3} + 12 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 12 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 8 r_{1} r_{5} + 8 r_{2} r_{5} + 13 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(531)}+[4 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(532)}+1s_{(5321)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 5 r_{5}]s_{(541)}+2s_{(542)}$


$s_{(53)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 10 r_{1}^2 r_{3} + 20 r_{1} r_{2} r_{3} + 10 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 28 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 10 r_{2} r_{3} r_{5} + 10 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 7 r_{2} r_{4} r_{5} + 14 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + 2 r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(53)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 12 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 6 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(531)}+[2 r_{1} + 2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(532)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 16 r_{1} r_{3} + 26 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 28 r_{3} r_{4} + 10 r_{4}^2 + 4 r_{1} r_{5} + 7 r_{2} r_{5} + 10 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(54)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 6 r_{4} + 3 r_{5}]s_{(541)}+2s_{(542)}$


$s_{(531)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 10 r_{1}^2 r_{3} + 20 r_{1} r_{2} r_{3} + 10 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 28 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 18 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 13 r_{2} r_{4} r_{5} + 26 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(531)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 16 r_{1} r_{3} + 16 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{1} r_{4} + 16 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 8 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(532)}+[2 r_{1} + 2 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(5321)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 16 r_{1} r_{3} + 26 r_{2} r_{3} + 18 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 28 r_{3} r_{4} + 10 r_{4}^2 + 8 r_{1} r_{5} + 13 r_{2} r_{5} + 18 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(541)}+[8 r_{1} + 12 r_{2} + 16 r_{3} + 16 r_{4} + 8 r_{5}]s_{(542)}+2s_{(5421)}+2s_{(543)}$


$s_{(532)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 10 r_{1}^2 r_{3} + 20 r_{1} r_{2} r_{3} + 10 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 44 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 26 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 18 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 21 r_{1} r_{4} r_{5} + 21 r_{2} r_{4} r_{5} + 42 r_{3} r_{4} r_{5} + 24 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 9 r_{4} r_{5}^2 + r_{5}^3]s_{(532)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 8 r_{3}^2 + 10 r_{1} r_{4} + 10 r_{2} r_{4} + 20 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{1} r_{5} + 5 r_{2} r_{5} + 10 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(5321)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 16 r_{1} r_{3} + 26 r_{2} r_{3} + 18 r_{3}^2 + 20 r_{1} r_{4} + 32 r_{2} r_{4} + 44 r_{3} r_{4} + 26 r_{4}^2 + 8 r_{1} r_{5} + 13 r_{2} r_{5} + 18 r_{3} r_{5} + 21 r_{4} r_{5} + 4 r_{5}^2]s_{(542)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 10 r_{4} + 5 r_{5}]s_{(5421)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 3 r_{5}]s_{(543)}+2s_{(5431)}$


$s_{(5321)}\cdot s_{(3)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 10 r_{1}^2 r_{3} + 20 r_{1} r_{2} r_{3} + 10 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 18 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 44 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 26 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 7 r_{1}^2 r_{5} + 14 r_{1} r_{2} r_{5} + 7 r_{2}^2 r_{5} + 26 r_{1} r_{3} r_{5} + 26 r_{2} r_{3} r_{5} + 26 r_{3}^2 r_{5} + 31 r_{1} r_{4} r_{5} + 31 r_{2} r_{4} r_{5} + 62 r_{3} r_{4} r_{5} + 36 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 9 r_{2} r_{5}^2 + 18 r_{3} r_{5}^2 + 21 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(5321)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 16 r_{1} r_{3} + 26 r_{2} r_{3} + 18 r_{3}^2 + 20 r_{1} r_{4} + 32 r_{2} r_{4} + 44 r_{3} r_{4} + 26 r_{4}^2 + 12 r_{1} r_{5} + 19 r_{2} r_{5} + 26 r_{3} r_{5} + 31 r_{4} r_{5} + 9 r_{5}^2]s_{(5421)}+[4 r_{1} + 6 r_{2} + 8 r_{3} + 8 r_{4} + 5 r_{5}]s_{(5431)}+2s_{(5432)}$


$s_{(54)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 10 r_{1}^2 r_{3} + 36 r_{1} r_{2} r_{3} + 36 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{1}^2 r_{4} + 28 r_{1} r_{2} r_{4} + 28 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 56 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 10 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 10 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 14 r_{2} r_{4} r_{5} + 14 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + 2 r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(54)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 6 r_{1} r_{4} + 12 r_{2} r_{4} + 12 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(541)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(542)}+1s_{(543)}$


$s_{(541)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 10 r_{1}^2 r_{3} + 36 r_{1} r_{2} r_{3} + 36 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 12 r_{3}^3 + 8 r_{1}^2 r_{4} + 28 r_{1} r_{2} r_{4} + 28 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 56 r_{2} r_{3} r_{4} + 28 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 18 r_{1} r_{2} r_{5} + 18 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 36 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 26 r_{2} r_{4} r_{5} + 26 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(541)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 16 r_{1} r_{3} + 32 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(542)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(5421)}+[4 r_{1} + 8 r_{2} + 10 r_{3} + 10 r_{4} + 5 r_{5}]s_{(543)}+1s_{(5431)}$


$s_{(542)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 10 r_{1}^2 r_{3} + 36 r_{1} r_{2} r_{3} + 36 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{1}^2 r_{4} + 44 r_{1} r_{2} r_{4} + 44 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 88 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 5 r_{1}^2 r_{5} + 18 r_{1} r_{2} r_{5} + 18 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 36 r_{2} r_{3} r_{5} + 18 r_{3}^2 r_{5} + 21 r_{1} r_{4} r_{5} + 42 r_{2} r_{4} r_{5} + 42 r_{3} r_{4} r_{5} + 24 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 8 r_{3} r_{5}^2 + 9 r_{4} r_{5}^2 + r_{5}^3]s_{(542)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 8 r_{3}^2 + 10 r_{1} r_{4} + 20 r_{2} r_{4} + 20 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(5421)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 20 r_{1} r_{3} + 40 r_{2} r_{3} + 26 r_{3}^2 + 20 r_{1} r_{4} + 40 r_{2} r_{4} + 52 r_{3} r_{4} + 26 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 21 r_{3} r_{5} + 21 r_{4} r_{5} + 4 r_{5}^2]s_{(543)}+[4 r_{1} + 8 r_{2} + 10 r_{3} + 10 r_{4} + 5 r_{5}]s_{(5431)}+1s_{(5432)}$


$s_{(5421)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 10 r_{1}^2 r_{3} + 36 r_{1} r_{2} r_{3} + 36 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 12 r_{3}^3 + 12 r_{1}^2 r_{4} + 44 r_{1} r_{2} r_{4} + 44 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 88 r_{2} r_{3} r_{4} + 44 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 52 r_{3} r_{4}^2 + 20 r_{4}^3 + 7 r_{1}^2 r_{5} + 26 r_{1} r_{2} r_{5} + 26 r_{2}^2 r_{5} + 26 r_{1} r_{3} r_{5} + 52 r_{2} r_{3} r_{5} + 26 r_{3}^2 r_{5} + 31 r_{1} r_{4} r_{5} + 62 r_{2} r_{4} r_{5} + 62 r_{3} r_{4} r_{5} + 36 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 18 r_{2} r_{5}^2 + 18 r_{3} r_{5}^2 + 21 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(5421)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 20 r_{1} r_{3} + 40 r_{2} r_{3} + 26 r_{3}^2 + 20 r_{1} r_{4} + 40 r_{2} r_{4} + 52 r_{3} r_{4} + 26 r_{4}^2 + 12 r_{1} r_{5} + 24 r_{2} r_{5} + 31 r_{3} r_{5} + 31 r_{4} r_{5} + 9 r_{5}^2]s_{(5431)}+[4 r_{1} + 8 r_{2} + 10 r_{3} + 10 r_{4} + 5 r_{5}]s_{(5432)}+1s_{(54321)}$


$s_{(543)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 14 r_{1}^2 r_{3} + 52 r_{1} r_{2} r_{3} + 52 r_{2}^2 r_{3} + 38 r_{1} r_{3}^2 + 76 r_{2} r_{3}^2 + 38 r_{3}^3 + 12 r_{1}^2 r_{4} + 44 r_{1} r_{2} r_{4} + 44 r_{2}^2 r_{4} + 64 r_{1} r_{3} r_{4} + 128 r_{2} r_{3} r_{4} + 96 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 78 r_{3} r_{4}^2 + 20 r_{4}^3 + 5 r_{1}^2 r_{5} + 18 r_{1} r_{2} r_{5} + 18 r_{2}^2 r_{5} + 26 r_{1} r_{3} r_{5} + 52 r_{2} r_{3} r_{5} + 39 r_{3}^2 r_{5} + 21 r_{1} r_{4} r_{5} + 42 r_{2} r_{4} r_{5} + 63 r_{3} r_{4} r_{5} + 24 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 12 r_{3} r_{5}^2 + 9 r_{4} r_{5}^2 + r_{5}^3]s_{(543)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 10 r_{1} r_{4} + 20 r_{2} r_{4} + 30 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 15 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(5431)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5432)}$


$s_{(5431)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 14 r_{1}^2 r_{3} + 52 r_{1} r_{2} r_{3} + 52 r_{2}^2 r_{3} + 38 r_{1} r_{3}^2 + 76 r_{2} r_{3}^2 + 38 r_{3}^3 + 12 r_{1}^2 r_{4} + 44 r_{1} r_{2} r_{4} + 44 r_{2}^2 r_{4} + 64 r_{1} r_{3} r_{4} + 128 r_{2} r_{3} r_{4} + 96 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 78 r_{3} r_{4}^2 + 20 r_{4}^3 + 7 r_{1}^2 r_{5} + 26 r_{1} r_{2} r_{5} + 26 r_{2}^2 r_{5} + 38 r_{1} r_{3} r_{5} + 76 r_{2} r_{3} r_{5} + 57 r_{3}^2 r_{5} + 31 r_{1} r_{4} r_{5} + 62 r_{2} r_{4} r_{5} + 93 r_{3} r_{4} r_{5} + 36 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 18 r_{2} r_{5}^2 + 27 r_{3} r_{5}^2 + 21 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(5431)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 24 r_{1} r_{3} + 48 r_{2} r_{3} + 36 r_{3}^2 + 24 r_{1} r_{4} + 48 r_{2} r_{4} + 72 r_{3} r_{4} + 36 r_{4}^2 + 12 r_{1} r_{5} + 24 r_{2} r_{5} + 36 r_{3} r_{5} + 36 r_{4} r_{5} + 9 r_{5}^2]s_{(5432)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(54321)}$


$s_{(5432)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 14 r_{1}^2 r_{3} + 52 r_{1} r_{2} r_{3} + 52 r_{2}^2 r_{3} + 38 r_{1} r_{3}^2 + 76 r_{2} r_{3}^2 + 38 r_{3}^3 + 16 r_{1}^2 r_{4} + 60 r_{1} r_{2} r_{4} + 60 r_{2}^2 r_{4} + 88 r_{1} r_{3} r_{4} + 176 r_{2} r_{3} r_{4} + 132 r_{3}^2 r_{4} + 50 r_{1} r_{4}^2 + 100 r_{2} r_{4}^2 + 150 r_{3} r_{4}^2 + 56 r_{4}^3 + 7 r_{1}^2 r_{5} + 26 r_{1} r_{2} r_{5} + 26 r_{2}^2 r_{5} + 38 r_{1} r_{3} r_{5} + 76 r_{2} r_{3} r_{5} + 57 r_{3}^2 r_{5} + 43 r_{1} r_{4} r_{5} + 86 r_{2} r_{4} r_{5} + 129 r_{3} r_{4} r_{5} + 72 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 18 r_{2} r_{5}^2 + 27 r_{3} r_{5}^2 + 30 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(5432)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 18 r_{3}^2 + 14 r_{1} r_{4} + 28 r_{2} r_{4} + 42 r_{3} r_{4} + 24 r_{4}^2 + 7 r_{1} r_{5} + 14 r_{2} r_{5} + 21 r_{3} r_{5} + 24 r_{4} r_{5} + 6 r_{5}^2]s_{(54321)}$


$s_{(54321)}\cdot s_{(3)}=[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 14 r_{1}^2 r_{3} + 52 r_{1} r_{2} r_{3} + 52 r_{2}^2 r_{3} + 38 r_{1} r_{3}^2 + 76 r_{2} r_{3}^2 + 38 r_{3}^3 + 16 r_{1}^2 r_{4} + 60 r_{1} r_{2} r_{4} + 60 r_{2}^2 r_{4} + 88 r_{1} r_{3} r_{4} + 176 r_{2} r_{3} r_{4} + 132 r_{3}^2 r_{4} + 50 r_{1} r_{4}^2 + 100 r_{2} r_{4}^2 + 150 r_{3} r_{4}^2 + 56 r_{4}^3 + 9 r_{1}^2 r_{5} + 34 r_{1} r_{2} r_{5} + 34 r_{2}^2 r_{5} + 50 r_{1} r_{3} r_{5} + 100 r_{2} r_{3} r_{5} + 75 r_{3}^2 r_{5} + 57 r_{1} r_{4} r_{5} + 114 r_{2} r_{4} r_{5} + 171 r_{3} r_{4} r_{5} + 96 r_{4}^2 r_{5} + 16 r_{1} r_{5}^2 + 32 r_{2} r_{5}^2 + 48 r_{3} r_{5}^2 + 54 r_{4} r_{5}^2 + 10 r_{5}^3]s_{(54321)}$


$s_{(1)}\cdot s_{(4)}=[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(4)}+1s_{(41)}+2s_{(5)}$


$s_{(2)}\cdot s_{(4)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(4)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(41)}+1s_{(42)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(5)}+2s_{(51)}$


$s_{(21)}\cdot s_{(4)}=[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(41)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(42)}+1s_{(421)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(51)}+2s_{(52)}$


$s_{(3)}\cdot s_{(4)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{2}^2 r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{2}^2 r_{5} + 2 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(4)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{2} r_{4} + 2 r_{3} r_{4} + r_{2} r_{5} + r_{3} r_{5}]s_{(41)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(42)}+1s_{(43)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + 2 r_{2} r_{5} + 2 r_{3} r_{5} + r_{4} r_{5}]s_{(5)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 2 r_{4} + r_{5}]s_{(51)}+2s_{(52)}$


$s_{(31)}\cdot s_{(4)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{2}^2 r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{2}^2 r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(41)}+[4 r_{2}^2 + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(42)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(421)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(43)}+1s_{(431)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(51)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(52)}+2s_{(521)}+2s_{(53)}$


$s_{(32)}\cdot s_{(4)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{2}^2 r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{2}^2 r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(42)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(421)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(43)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(431)}+1s_{(432)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(521)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(53)}+2s_{(531)}$


$s_{(321)}\cdot s_{(4)}=[2 r_{2}^3 + 6 r_{2}^2 r_{3} + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{2}^2 r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{2}^2 r_{5} + 10 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(421)}+[2 r_{2}^2 + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(431)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(432)}+1s_{(4321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(521)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(531)}+2s_{(532)}$


$s_{(4)}\cdot s_{(4)}=[2 r_{2}^4 + 6 r_{2}^3 r_{3} + 6 r_{2}^2 r_{3}^2 + 2 r_{2} r_{3}^3 + 4 r_{2}^3 r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{2}^2 r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + r_{2}^3 r_{5} + 2 r_{2}^2 r_{3} r_{5} + r_{2} r_{3}^2 r_{5} + r_{2}^2 r_{4} r_{5} + r_{2} r_{3} r_{4} r_{5}]s_{(4)}+[2 r_{2}^3 + 4 r_{2}^2 r_{3} + 2 r_{2} r_{3}^2 + 2 r_{2}^2 r_{4} + 2 r_{2} r_{3} r_{4} + r_{2}^2 r_{5} + r_{2} r_{3} r_{5}]s_{(41)}+[2 r_{2}^2 + 2 r_{2} r_{3} + 2 r_{2} r_{4} + r_{2} r_{5}]s_{(42)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(43)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 6 r_{1}^2 r_{3} + 18 r_{1} r_{2} r_{3} + 18 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{1}^2 r_{5} + 3 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 2 r_{1} r_{3} r_{5} + 4 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{1} r_{4} r_{5} + 2 r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 4 r_{1} r_{3} + 8 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{1} r_{4} + 4 r_{2} r_{4} + 2 r_{3} r_{4} + r_{1} r_{5} + 2 r_{2} r_{5} + r_{3} r_{5}]s_{(51)}+[2 r_{1} + 4 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(52)}+2s_{(53)}$


$s_{(41)}\cdot s_{(4)}=[2 r_{2}^4 + 6 r_{2}^3 r_{3} + 6 r_{2}^2 r_{3}^2 + 2 r_{2} r_{3}^3 + 4 r_{2}^3 r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{2}^2 r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + 3 r_{2}^3 r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{2} r_{3}^2 r_{5} + 3 r_{2}^2 r_{4} r_{5} + 3 r_{2} r_{3} r_{4} r_{5} + r_{2}^2 r_{5}^2 + r_{2} r_{3} r_{5}^2]s_{(41)}+[4 r_{2}^3 + 8 r_{2}^2 r_{3} + 4 r_{2} r_{3}^2 + 8 r_{2}^2 r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{2} r_{4}^2 + 4 r_{2}^2 r_{5} + 4 r_{2} r_{3} r_{5} + 4 r_{2} r_{4} r_{5} + r_{2} r_{5}^2]s_{(42)}+[2 r_{2}^2 + 2 r_{2} r_{3} + 2 r_{2} r_{4} + r_{2} r_{5}]s_{(421)}+[4 r_{2}^2 + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(43)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(431)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 6 r_{1}^2 r_{3} + 18 r_{1} r_{2} r_{3} + 18 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 9 r_{1} r_{2} r_{5} + 9 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 12 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{1} r_{4} r_{5} + 6 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 12 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 8 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 4 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(521)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(53)}+2s_{(531)}+2s_{(54)}$


$s_{(42)}\cdot s_{(4)}=[2 r_{2}^4 + 6 r_{2}^3 r_{3} + 6 r_{2}^2 r_{3}^2 + 2 r_{2} r_{3}^3 + 8 r_{2}^3 r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{2}^2 r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{2} r_{4}^3 + 3 r_{2}^3 r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{2} r_{3}^2 r_{5} + 7 r_{2}^2 r_{4} r_{5} + 7 r_{2} r_{3} r_{4} r_{5} + 4 r_{2} r_{4}^2 r_{5} + r_{2}^2 r_{5}^2 + r_{2} r_{3} r_{5}^2 + r_{2} r_{4} r_{5}^2]s_{(42)}+[2 r_{2}^3 + 4 r_{2}^2 r_{3} + 2 r_{2} r_{3}^2 + 6 r_{2}^2 r_{4} + 6 r_{2} r_{3} r_{4} + 4 r_{2} r_{4}^2 + 3 r_{2}^2 r_{5} + 3 r_{2} r_{3} r_{5} + 4 r_{2} r_{4} r_{5} + r_{2} r_{5}^2]s_{(421)}+[4 r_{2}^3 + 12 r_{2}^2 r_{3} + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{2}^2 r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{2}^2 r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 8 r_{2} r_{4} r_{5} + 8 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(43)}+[4 r_{2}^2 + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(431)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(432)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 6 r_{1}^2 r_{3} + 18 r_{1} r_{2} r_{3} + 18 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 32 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 9 r_{1} r_{2} r_{5} + 9 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 12 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 14 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 4 r_{1} r_{3} + 8 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{1} r_{4} + 12 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(521)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 12 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 12 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 24 r_{3} r_{4} + 12 r_{4}^2 + 4 r_{1} r_{5} + 8 r_{2} r_{5} + 8 r_{3} r_{5} + 8 r_{4} r_{5} + r_{5}^2]s_{(53)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(531)}+2s_{(532)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(54)}+2s_{(541)}$


$s_{(421)}\cdot s_{(4)}=[2 r_{2}^4 + 6 r_{2}^3 r_{3} + 6 r_{2}^2 r_{3}^2 + 2 r_{2} r_{3}^3 + 8 r_{2}^3 r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{2}^2 r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{2} r_{4}^3 + 5 r_{2}^3 r_{5} + 10 r_{2}^2 r_{3} r_{5} + 5 r_{2} r_{3}^2 r_{5} + 13 r_{2}^2 r_{4} r_{5} + 13 r_{2} r_{3} r_{4} r_{5} + 8 r_{2} r_{4}^2 r_{5} + 4 r_{2}^2 r_{5}^2 + 4 r_{2} r_{3} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + r_{2} r_{5}^3]s_{(421)}+[4 r_{2}^3 + 12 r_{2}^2 r_{3} + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{2}^2 r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{2}^2 r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{2} r_{4} r_{5} + 16 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(431)}+[4 r_{2}^2 + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(432)}+[2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(4321)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 6 r_{1}^2 r_{3} + 18 r_{1} r_{2} r_{3} + 18 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 32 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 15 r_{1} r_{2} r_{5} + 15 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 26 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(521)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 12 r_{2}^2 + 12 r_{1} r_{3} + 24 r_{2} r_{3} + 12 r_{3}^2 + 12 r_{1} r_{4} + 24 r_{2} r_{4} + 24 r_{3} r_{4} + 12 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 5 r_{5}^2]s_{(531)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(532)}+2s_{(5321)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(541)}+2s_{(542)}$


$s_{(43)}\cdot s_{(4)}=[2 r_{2}^4 + 10 r_{2}^3 r_{3} + 18 r_{2}^2 r_{3}^2 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{2}^3 r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{2}^2 r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 3 r_{2}^3 r_{5} + 10 r_{2}^2 r_{3} r_{5} + 11 r_{2} r_{3}^2 r_{5} + 4 r_{3}^3 r_{5} + 7 r_{2}^2 r_{4} r_{5} + 15 r_{2} r_{3} r_{4} r_{5} + 8 r_{3}^2 r_{4} r_{5} + 4 r_{2} r_{4}^2 r_{5} + 4 r_{3} r_{4}^2 r_{5} + r_{2}^2 r_{5}^2 + 2 r_{2} r_{3} r_{5}^2 + r_{3}^2 r_{5}^2 + r_{2} r_{4} r_{5}^2 + r_{3} r_{4} r_{5}^2]s_{(43)}+[2 r_{2}^3 + 8 r_{2}^2 r_{3} + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 6 r_{2}^2 r_{4} + 14 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 4 r_{2} r_{4}^2 + 4 r_{3} r_{4}^2 + 3 r_{2}^2 r_{5} + 7 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 4 r_{2} r_{4} r_{5} + 4 r_{3} r_{4} r_{5} + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(431)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(432)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 10 r_{1}^2 r_{3} + 30 r_{1} r_{2} r_{3} + 30 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 14 r_{3}^3 + 8 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 56 r_{2} r_{3} r_{4} + 32 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 22 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 9 r_{1} r_{2} r_{5} + 9 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 11 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 14 r_{2} r_{4} r_{5} + 15 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + 2 r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(53)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 10 r_{3}^2 + 6 r_{1} r_{4} + 12 r_{2} r_{4} + 14 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 7 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(531)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(532)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + 2 r_{2} r_{5} + 2 r_{3} r_{5} + r_{4} r_{5}]s_{(54)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 2 r_{4} + r_{5}]s_{(541)}+2s_{(542)}$


$s_{(431)}\cdot s_{(4)}=[2 r_{2}^4 + 10 r_{2}^3 r_{3} + 18 r_{2}^2 r_{3}^2 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{2}^3 r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{2}^2 r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 5 r_{2}^3 r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 13 r_{2}^2 r_{4} r_{5} + 29 r_{2} r_{3} r_{4} r_{5} + 16 r_{3}^2 r_{4} r_{5} + 8 r_{2} r_{4}^2 r_{5} + 8 r_{3} r_{4}^2 r_{5} + 4 r_{2}^2 r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + 5 r_{3} r_{4} r_{5}^2 + r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(431)}+[4 r_{2}^3 + 16 r_{2}^2 r_{3} + 20 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{2}^2 r_{4} + 40 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{2}^2 r_{5} + 20 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(432)}+[2 r_{2}^2 + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(4321)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 10 r_{1}^2 r_{3} + 30 r_{1} r_{2} r_{3} + 30 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 14 r_{3}^3 + 8 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 28 r_{1} r_{3} r_{4} + 56 r_{2} r_{3} r_{4} + 32 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 22 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 15 r_{1} r_{2} r_{5} + 15 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 36 r_{2} r_{3} r_{5} + 21 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 26 r_{2} r_{4} r_{5} + 29 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 9 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(531)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 12 r_{2}^2 + 16 r_{1} r_{3} + 32 r_{2} r_{3} + 20 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 40 r_{3} r_{4} + 20 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 20 r_{3} r_{5} + 20 r_{4} r_{5} + 5 r_{5}^2]s_{(532)}+[2 r_{1} + 4 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 4 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(541)}+[4 r_{1} + 8 r_{2} + 8 r_{3} + 8 r_{4} + 4 r_{5}]s_{(542)}+2s_{(5421)}+2s_{(543)}$


$s_{(432)}\cdot s_{(4)}=[2 r_{2}^4 + 10 r_{2}^3 r_{3} + 18 r_{2}^2 r_{3}^2 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{2}^3 r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{2}^2 r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 5 r_{2}^3 r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 21 r_{2}^2 r_{4} r_{5} + 49 r_{2} r_{3} r_{4} r_{5} + 28 r_{3}^2 r_{4} r_{5} + 28 r_{2} r_{4}^2 r_{5} + 32 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 4 r_{2}^2 r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 10 r_{2} r_{4} r_{5}^2 + 11 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(432)}+[2 r_{2}^3 + 8 r_{2}^2 r_{3} + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 10 r_{2}^2 r_{4} + 26 r_{2} r_{3} r_{4} + 16 r_{3}^2 r_{4} + 16 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{2}^2 r_{5} + 13 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{2} r_{4} r_{5} + 20 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(4321)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 10 r_{1}^2 r_{3} + 30 r_{1} r_{2} r_{3} + 30 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 14 r_{3}^3 + 12 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 36 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 88 r_{2} r_{3} r_{4} + 52 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 62 r_{3} r_{4}^2 + 24 r_{4}^3 + 5 r_{1}^2 r_{5} + 15 r_{1} r_{2} r_{5} + 15 r_{2}^2 r_{5} + 18 r_{1} r_{3} r_{5} + 36 r_{2} r_{3} r_{5} + 21 r_{3}^2 r_{5} + 21 r_{1} r_{4} r_{5} + 42 r_{2} r_{4} r_{5} + 49 r_{3} r_{4} r_{5} + 28 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 9 r_{3} r_{5}^2 + 10 r_{4} r_{5}^2 + r_{5}^3]s_{(532)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 8 r_{1} r_{3} + 16 r_{2} r_{3} + 10 r_{3}^2 + 10 r_{1} r_{4} + 20 r_{2} r_{4} + 26 r_{3} r_{4} + 16 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 13 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(5321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 6 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(542)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5421)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + r_{5}]s_{(543)}+2s_{(5431)}$


$s_{(4321)}\cdot s_{(4)}=[2 r_{2}^4 + 10 r_{2}^3 r_{3} + 18 r_{2}^2 r_{3}^2 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{2}^3 r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{2}^2 r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 7 r_{2}^3 r_{5} + 26 r_{2}^2 r_{3} r_{5} + 31 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 31 r_{2}^2 r_{4} r_{5} + 75 r_{2} r_{3} r_{4} r_{5} + 44 r_{3}^2 r_{4} r_{5} + 44 r_{2} r_{4}^2 r_{5} + 52 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 9 r_{2}^2 r_{5}^2 + 22 r_{2} r_{3} r_{5}^2 + 13 r_{3}^2 r_{5}^2 + 26 r_{2} r_{4} r_{5}^2 + 31 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 5 r_{2} r_{5}^3 + 6 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(4321)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 8 r_{2}^3 + 10 r_{1}^2 r_{3} + 30 r_{1} r_{2} r_{3} + 30 r_{2}^2 r_{3} + 18 r_{1} r_{3}^2 + 36 r_{2} r_{3}^2 + 14 r_{3}^3 + 12 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 36 r_{2}^2 r_{4} + 44 r_{1} r_{3} r_{4} + 88 r_{2} r_{3} r_{4} + 52 r_{3}^2 r_{4} + 26 r_{1} r_{4}^2 + 52 r_{2} r_{4}^2 + 62 r_{3} r_{4}^2 + 24 r_{4}^3 + 7 r_{1}^2 r_{5} + 21 r_{1} r_{2} r_{5} + 21 r_{2}^2 r_{5} + 26 r_{1} r_{3} r_{5} + 52 r_{2} r_{3} r_{5} + 31 r_{3}^2 r_{5} + 31 r_{1} r_{4} r_{5} + 62 r_{2} r_{4} r_{5} + 75 r_{3} r_{4} r_{5} + 44 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 18 r_{2} r_{5}^2 + 22 r_{3} r_{5}^2 + 26 r_{4} r_{5}^2 + 5 r_{5}^3]s_{(5321)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 6 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 6 r_{3}^2 + 8 r_{1} r_{4} + 16 r_{2} r_{4} + 16 r_{3} r_{4} + 10 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 10 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(5421)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 3 r_{5}]s_{(5431)}+2s_{(5432)}$


$s_{(5)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 4 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 4 r_{2}^3 r_{4} + 8 r_{1}^2 r_{3} r_{4} + 16 r_{1} r_{2} r_{3} r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{1} r_{3}^2 r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 2 r_{2}^2 r_{4}^2 + 2 r_{1} r_{3} r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + r_{1}^3 r_{5} + 3 r_{1}^2 r_{2} r_{5} + 3 r_{1} r_{2}^2 r_{5} + r_{2}^3 r_{5} + 2 r_{1}^2 r_{3} r_{5} + 4 r_{1} r_{2} r_{3} r_{5} + 2 r_{2}^2 r_{3} r_{5} + r_{1} r_{3}^2 r_{5} + r_{2} r_{3}^2 r_{5} + r_{1}^2 r_{4} r_{5} + 2 r_{1} r_{2} r_{4} r_{5} + r_{2}^2 r_{4} r_{5} + r_{1} r_{3} r_{4} r_{5} + r_{2} r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 4 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{2}^2 r_{3} + 2 r_{1} r_{3}^2 + 2 r_{2} r_{3}^2 + 2 r_{1}^2 r_{4} + 4 r_{1} r_{2} r_{4} + 2 r_{2}^2 r_{4} + 2 r_{1} r_{3} r_{4} + 2 r_{2} r_{3} r_{4} + r_{1}^2 r_{5} + 2 r_{1} r_{2} r_{5} + r_{2}^2 r_{5} + r_{1} r_{3} r_{5} + r_{2} r_{3} r_{5}]s_{(51)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 2 r_{1} r_{3} + 2 r_{2} r_{3} + 2 r_{1} r_{4} + 2 r_{2} r_{4} + r_{1} r_{5} + r_{2} r_{5}]s_{(52)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(53)}+1s_{(54)}$


$s_{(51)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 4 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 4 r_{2}^3 r_{4} + 8 r_{1}^2 r_{3} r_{4} + 16 r_{1} r_{2} r_{3} r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{1} r_{3}^2 r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 2 r_{2}^2 r_{4}^2 + 2 r_{1} r_{3} r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 6 r_{1}^2 r_{3} r_{5} + 12 r_{1} r_{2} r_{3} r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{1} r_{3}^2 r_{5} + 3 r_{2} r_{3}^2 r_{5} + 3 r_{1}^2 r_{4} r_{5} + 6 r_{1} r_{2} r_{4} r_{5} + 3 r_{2}^2 r_{4} r_{5} + 3 r_{1} r_{3} r_{4} r_{5} + 3 r_{2} r_{3} r_{4} r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{2} r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 4 r_{1} r_{3}^2 + 4 r_{2} r_{3}^2 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(52)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 2 r_{1} r_{3} + 2 r_{2} r_{3} + 2 r_{1} r_{4} + 2 r_{2} r_{4} + r_{1} r_{5} + r_{2} r_{5}]s_{(521)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(53)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(531)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(54)}+1s_{(541)}$


$s_{(52)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 16 r_{1}^2 r_{3} r_{4} + 32 r_{1} r_{2} r_{3} r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 10 r_{1} r_{3} r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 6 r_{1}^2 r_{3} r_{5} + 12 r_{1} r_{2} r_{3} r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{1} r_{3}^2 r_{5} + 3 r_{2} r_{3}^2 r_{5} + 7 r_{1}^2 r_{4} r_{5} + 14 r_{1} r_{2} r_{4} r_{5} + 7 r_{2}^2 r_{4} r_{5} + 7 r_{1} r_{3} r_{4} r_{5} + 7 r_{2} r_{3} r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 4 r_{2} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{2} r_{3} r_{5}^2 + r_{1} r_{4} r_{5}^2 + r_{2} r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 4 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{2}^2 r_{3} + 2 r_{1} r_{3}^2 + 2 r_{2} r_{3}^2 + 6 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 6 r_{2}^2 r_{4} + 6 r_{1} r_{3} r_{4} + 6 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 3 r_{1} r_{3} r_{5} + 3 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(521)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 8 r_{1} r_{3} r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 8 r_{1} r_{4} r_{5} + 8 r_{2} r_{4} r_{5} + 8 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(53)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(531)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(532)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 4 r_{1} r_{5} + 7 r_{2} r_{5} + 7 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(54)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(541)}+1s_{(542)}$


$s_{(521)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 16 r_{1}^2 r_{3} r_{4} + 32 r_{1} r_{2} r_{3} r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 10 r_{1} r_{3} r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 10 r_{1}^2 r_{3} r_{5} + 20 r_{1} r_{2} r_{3} r_{5} + 10 r_{2}^2 r_{3} r_{5} + 5 r_{1} r_{3}^2 r_{5} + 5 r_{2} r_{3}^2 r_{5} + 13 r_{1}^2 r_{4} r_{5} + 26 r_{1} r_{2} r_{4} r_{5} + 13 r_{2}^2 r_{4} r_{5} + 13 r_{1} r_{3} r_{4} r_{5} + 13 r_{2} r_{3} r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 4 r_{1} r_{3} r_{5}^2 + 4 r_{2} r_{3} r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3]s_{(521)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 16 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(531)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(532)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5321)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 8 r_{1} r_{5} + 13 r_{2} r_{5} + 13 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(541)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(542)}+1s_{(5421)}$


$s_{(53)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 56 r_{1} r_{2} r_{3} r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 10 r_{1}^2 r_{3} r_{5} + 20 r_{1} r_{2} r_{3} r_{5} + 10 r_{2}^2 r_{3} r_{5} + 11 r_{1} r_{3}^2 r_{5} + 11 r_{2} r_{3}^2 r_{5} + 4 r_{3}^3 r_{5} + 7 r_{1}^2 r_{4} r_{5} + 14 r_{1} r_{2} r_{4} r_{5} + 7 r_{2}^2 r_{4} r_{5} + 15 r_{1} r_{3} r_{4} r_{5} + 15 r_{2} r_{3} r_{4} r_{5} + 8 r_{3}^2 r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 4 r_{2} r_{4}^2 r_{5} + 4 r_{3} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + 2 r_{1} r_{3} r_{5}^2 + 2 r_{2} r_{3} r_{5}^2 + r_{3}^2 r_{5}^2 + r_{1} r_{4} r_{5}^2 + r_{2} r_{4} r_{5}^2 + r_{3} r_{4} r_{5}^2]s_{(53)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 6 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 6 r_{2}^2 r_{4} + 14 r_{1} r_{3} r_{4} + 14 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 4 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 7 r_{1} r_{3} r_{5} + 7 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + 4 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(531)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 6 r_{1} r_{3} + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(532)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 24 r_{1} r_{2}^2 + 14 r_{2}^3 + 16 r_{1}^2 r_{3} + 48 r_{1} r_{2} r_{3} + 42 r_{2}^2 r_{3} + 24 r_{1} r_{3}^2 + 42 r_{2} r_{3}^2 + 14 r_{3}^3 + 12 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 32 r_{2}^2 r_{4} + 36 r_{1} r_{3} r_{4} + 64 r_{2} r_{3} r_{4} + 32 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 22 r_{2} r_{4}^2 + 22 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{1}^2 r_{5} + 12 r_{1} r_{2} r_{5} + 11 r_{2}^2 r_{5} + 12 r_{1} r_{3} r_{5} + 22 r_{2} r_{3} r_{5} + 11 r_{3}^2 r_{5} + 8 r_{1} r_{4} r_{5} + 15 r_{2} r_{4} r_{5} + 15 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + 2 r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(54)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 8 r_{1} r_{4} + 14 r_{2} r_{4} + 14 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 7 r_{2} r_{5} + 7 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(541)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(542)}+1s_{(543)}$


$s_{(531)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 56 r_{1} r_{2} r_{3} r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 36 r_{1} r_{2} r_{3} r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 13 r_{1}^2 r_{4} r_{5} + 26 r_{1} r_{2} r_{4} r_{5} + 13 r_{2}^2 r_{4} r_{5} + 29 r_{1} r_{3} r_{4} r_{5} + 29 r_{2} r_{3} r_{4} r_{5} + 16 r_{3}^2 r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 8 r_{3} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + 5 r_{3} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(531)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 16 r_{1}^2 r_{3} + 32 r_{1} r_{2} r_{3} + 16 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 32 r_{1} r_{2} r_{4} + 16 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 40 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 20 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(532)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 6 r_{1} r_{3} + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5321)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 24 r_{1} r_{2}^2 + 14 r_{2}^3 + 16 r_{1}^2 r_{3} + 48 r_{1} r_{2} r_{3} + 42 r_{2}^2 r_{3} + 24 r_{1} r_{3}^2 + 42 r_{2} r_{3}^2 + 14 r_{3}^3 + 12 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 32 r_{2}^2 r_{4} + 36 r_{1} r_{3} r_{4} + 64 r_{2} r_{3} r_{4} + 32 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 22 r_{2} r_{4}^2 + 22 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{1}^2 r_{5} + 24 r_{1} r_{2} r_{5} + 21 r_{2}^2 r_{5} + 24 r_{1} r_{3} r_{5} + 42 r_{2} r_{3} r_{5} + 21 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 29 r_{2} r_{4} r_{5} + 29 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 9 r_{2} r_{5}^2 + 9 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(541)}+[8 r_{1}^2 + 24 r_{1} r_{2} + 20 r_{2}^2 + 24 r_{1} r_{3} + 40 r_{2} r_{3} + 20 r_{3}^2 + 24 r_{1} r_{4} + 40 r_{2} r_{4} + 40 r_{3} r_{4} + 20 r_{4}^2 + 12 r_{1} r_{5} + 20 r_{2} r_{5} + 20 r_{3} r_{5} + 20 r_{4} r_{5} + 5 r_{5}^2]s_{(542)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5421)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(543)}+1s_{(5431)}$


$s_{(532)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 88 r_{1} r_{2} r_{3} r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 52 r_{1} r_{2} r_{4}^2 + 26 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 36 r_{1} r_{2} r_{3} r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 21 r_{1}^2 r_{4} r_{5} + 42 r_{1} r_{2} r_{4} r_{5} + 21 r_{2}^2 r_{4} r_{5} + 49 r_{1} r_{3} r_{4} r_{5} + 49 r_{2} r_{3} r_{4} r_{5} + 28 r_{3}^2 r_{4} r_{5} + 28 r_{1} r_{4}^2 r_{5} + 28 r_{2} r_{4}^2 r_{5} + 32 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 10 r_{1} r_{4} r_{5}^2 + 10 r_{2} r_{4} r_{5}^2 + 11 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(532)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 10 r_{1}^2 r_{4} + 20 r_{1} r_{2} r_{4} + 10 r_{2}^2 r_{4} + 26 r_{1} r_{3} r_{4} + 26 r_{2} r_{3} r_{4} + 16 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 16 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 13 r_{1} r_{3} r_{5} + 13 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 20 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5321)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 24 r_{1} r_{2}^2 + 14 r_{2}^3 + 16 r_{1}^2 r_{3} + 48 r_{1} r_{2} r_{3} + 42 r_{2}^2 r_{3} + 24 r_{1} r_{3}^2 + 42 r_{2} r_{3}^2 + 14 r_{3}^3 + 20 r_{1}^2 r_{4} + 60 r_{1} r_{2} r_{4} + 52 r_{2}^2 r_{4} + 60 r_{1} r_{3} r_{4} + 104 r_{2} r_{3} r_{4} + 52 r_{3}^2 r_{4} + 36 r_{1} r_{4}^2 + 62 r_{2} r_{4}^2 + 62 r_{3} r_{4}^2 + 24 r_{4}^3 + 8 r_{1}^2 r_{5} + 24 r_{1} r_{2} r_{5} + 21 r_{2}^2 r_{5} + 24 r_{1} r_{3} r_{5} + 42 r_{2} r_{3} r_{5} + 21 r_{3}^2 r_{5} + 28 r_{1} r_{4} r_{5} + 49 r_{2} r_{4} r_{5} + 49 r_{3} r_{4} r_{5} + 28 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 9 r_{2} r_{5}^2 + 9 r_{3} r_{5}^2 + 10 r_{4} r_{5}^2 + r_{5}^3]s_{(542)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 16 r_{1} r_{4} + 26 r_{2} r_{4} + 26 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 13 r_{2} r_{5} + 13 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(5421)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 4 r_{1} r_{5} + 7 r_{2} r_{5} + 7 r_{3} r_{5} + 7 r_{4} r_{5} + r_{5}^2]s_{(543)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5431)}+1s_{(5432)}$


$s_{(5321)}\cdot s_{(4)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 88 r_{1} r_{2} r_{3} r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 52 r_{1} r_{2} r_{4}^2 + 26 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 7 r_{1}^3 r_{5} + 21 r_{1}^2 r_{2} r_{5} + 21 r_{1} r_{2}^2 r_{5} + 7 r_{2}^3 r_{5} + 26 r_{1}^2 r_{3} r_{5} + 52 r_{1} r_{2} r_{3} r_{5} + 26 r_{2}^2 r_{3} r_{5} + 31 r_{1} r_{3}^2 r_{5} + 31 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 31 r_{1}^2 r_{4} r_{5} + 62 r_{1} r_{2} r_{4} r_{5} + 31 r_{2}^2 r_{4} r_{5} + 75 r_{1} r_{3} r_{4} r_{5} + 75 r_{2} r_{3} r_{4} r_{5} + 44 r_{3}^2 r_{4} r_{5} + 44 r_{1} r_{4}^2 r_{5} + 44 r_{2} r_{4}^2 r_{5} + 52 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 18 r_{1} r_{2} r_{5}^2 + 9 r_{2}^2 r_{5}^2 + 22 r_{1} r_{3} r_{5}^2 + 22 r_{2} r_{3} r_{5}^2 + 13 r_{3}^2 r_{5}^2 + 26 r_{1} r_{4} r_{5}^2 + 26 r_{2} r_{4} r_{5}^2 + 31 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 5 r_{2} r_{5}^3 + 6 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5321)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 24 r_{1} r_{2}^2 + 14 r_{2}^3 + 16 r_{1}^2 r_{3} + 48 r_{1} r_{2} r_{3} + 42 r_{2}^2 r_{3} + 24 r_{1} r_{3}^2 + 42 r_{2} r_{3}^2 + 14 r_{3}^3 + 20 r_{1}^2 r_{4} + 60 r_{1} r_{2} r_{4} + 52 r_{2}^2 r_{4} + 60 r_{1} r_{3} r_{4} + 104 r_{2} r_{3} r_{4} + 52 r_{3}^2 r_{4} + 36 r_{1} r_{4}^2 + 62 r_{2} r_{4}^2 + 62 r_{3} r_{4}^2 + 24 r_{4}^3 + 12 r_{1}^2 r_{5} + 36 r_{1} r_{2} r_{5} + 31 r_{2}^2 r_{5} + 36 r_{1} r_{3} r_{5} + 62 r_{2} r_{3} r_{5} + 31 r_{3}^2 r_{5} + 44 r_{1} r_{4} r_{5} + 75 r_{2} r_{4} r_{5} + 75 r_{3} r_{4} r_{5} + 44 r_{4}^2 r_{5} + 13 r_{1} r_{5}^2 + 22 r_{2} r_{5}^2 + 22 r_{3} r_{5}^2 + 26 r_{4} r_{5}^2 + 5 r_{5}^3]s_{(5421)}+[4 r_{1}^2 + 12 r_{1} r_{2} + 10 r_{2}^2 + 12 r_{1} r_{3} + 20 r_{2} r_{3} + 10 r_{3}^2 + 12 r_{1} r_{4} + 20 r_{2} r_{4} + 20 r_{3} r_{4} + 10 r_{4}^2 + 8 r_{1} r_{5} + 13 r_{2} r_{5} + 13 r_{3} r_{5} + 13 r_{4} r_{5} + 4 r_{5}^2]s_{(5431)}+[4 r_{1} + 6 r_{2} + 6 r_{3} + 6 r_{4} + 3 r_{5}]s_{(5432)}+1s_{(54321)}$


$s_{(54)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 10 r_{1}^3 r_{3} + 46 r_{1}^2 r_{2} r_{3} + 78 r_{1} r_{2}^2 r_{3} + 52 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 60 r_{1} r_{2} r_{3}^2 + 60 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 60 r_{1} r_{2}^2 r_{4} + 40 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 92 r_{1} r_{2} r_{3} r_{4} + 92 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 64 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 32 r_{1} r_{2} r_{4}^2 + 32 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 44 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 8 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 3 r_{1}^3 r_{5} + 13 r_{1}^2 r_{2} r_{5} + 21 r_{1} r_{2}^2 r_{5} + 14 r_{2}^3 r_{5} + 10 r_{1}^2 r_{3} r_{5} + 32 r_{1} r_{2} r_{3} r_{5} + 32 r_{2}^2 r_{3} r_{5} + 11 r_{1} r_{3}^2 r_{5} + 22 r_{2} r_{3}^2 r_{5} + 4 r_{3}^3 r_{5} + 7 r_{1}^2 r_{4} r_{5} + 22 r_{1} r_{2} r_{4} r_{5} + 22 r_{2}^2 r_{4} r_{5} + 15 r_{1} r_{3} r_{4} r_{5} + 30 r_{2} r_{3} r_{4} r_{5} + 8 r_{3}^2 r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 4 r_{3} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 3 r_{1} r_{2} r_{5}^2 + 3 r_{2}^2 r_{5}^2 + 2 r_{1} r_{3} r_{5}^2 + 4 r_{2} r_{3} r_{5}^2 + r_{3}^2 r_{5}^2 + r_{1} r_{4} r_{5}^2 + 2 r_{2} r_{4} r_{5}^2 + r_{3} r_{4} r_{5}^2]s_{(54)}+[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 8 r_{1}^2 r_{3} + 28 r_{1} r_{2} r_{3} + 28 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 4 r_{3}^3 + 6 r_{1}^2 r_{4} + 20 r_{1} r_{2} r_{4} + 20 r_{2}^2 r_{4} + 14 r_{1} r_{3} r_{4} + 28 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 4 r_{1} r_{4}^2 + 8 r_{2} r_{4}^2 + 4 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 10 r_{2}^2 r_{5} + 7 r_{1} r_{3} r_{5} + 14 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 4 r_{1} r_{4} r_{5} + 8 r_{2} r_{4} r_{5} + 4 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + 2 r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(541)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 12 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(542)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(543)}$


$s_{(541)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 10 r_{1}^3 r_{3} + 46 r_{1}^2 r_{2} r_{3} + 78 r_{1} r_{2}^2 r_{3} + 52 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 60 r_{1} r_{2} r_{3}^2 + 60 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 60 r_{1} r_{2}^2 r_{4} + 40 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 92 r_{1} r_{2} r_{3} r_{4} + 92 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 64 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 32 r_{1} r_{2} r_{4}^2 + 32 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 44 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 8 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 5 r_{1}^3 r_{5} + 23 r_{1}^2 r_{2} r_{5} + 39 r_{1} r_{2}^2 r_{5} + 26 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 60 r_{1} r_{2} r_{3} r_{5} + 60 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 42 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 13 r_{1}^2 r_{4} r_{5} + 42 r_{1} r_{2} r_{4} r_{5} + 42 r_{2}^2 r_{4} r_{5} + 29 r_{1} r_{3} r_{4} r_{5} + 58 r_{2} r_{3} r_{4} r_{5} + 16 r_{3}^2 r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 16 r_{2} r_{4}^2 r_{5} + 8 r_{3} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 13 r_{1} r_{2} r_{5}^2 + 13 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 18 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 10 r_{2} r_{4} r_{5}^2 + 5 r_{3} r_{4} r_{5}^2 + r_{1} r_{5}^3 + 2 r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(541)}+[4 r_{1}^3 + 20 r_{1}^2 r_{2} + 36 r_{1} r_{2}^2 + 24 r_{2}^3 + 16 r_{1}^2 r_{3} + 56 r_{1} r_{2} r_{3} + 56 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 40 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 56 r_{1} r_{2} r_{4} + 56 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 80 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 40 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 28 r_{1} r_{2} r_{5} + 28 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 40 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 40 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 10 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(542)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 6 r_{1} r_{3} + 12 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 12 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 6 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5421)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 16 r_{1} r_{3} + 32 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(543)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(5431)}$


$s_{(542)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 10 r_{1}^3 r_{3} + 46 r_{1}^2 r_{2} r_{3} + 78 r_{1} r_{2}^2 r_{3} + 52 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 60 r_{1} r_{2} r_{3}^2 + 60 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 56 r_{1}^2 r_{2} r_{4} + 96 r_{1} r_{2}^2 r_{4} + 64 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 148 r_{1} r_{2} r_{3} r_{4} + 148 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 104 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 88 r_{1} r_{2} r_{4}^2 + 88 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 124 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 48 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 5 r_{1}^3 r_{5} + 23 r_{1}^2 r_{2} r_{5} + 39 r_{1} r_{2}^2 r_{5} + 26 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 60 r_{1} r_{2} r_{3} r_{5} + 60 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 42 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 21 r_{1}^2 r_{4} r_{5} + 70 r_{1} r_{2} r_{4} r_{5} + 70 r_{2}^2 r_{4} r_{5} + 49 r_{1} r_{3} r_{4} r_{5} + 98 r_{2} r_{3} r_{4} r_{5} + 28 r_{3}^2 r_{4} r_{5} + 28 r_{1} r_{4}^2 r_{5} + 56 r_{2} r_{4}^2 r_{5} + 32 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 4 r_{1}^2 r_{5}^2 + 13 r_{1} r_{2} r_{5}^2 + 13 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 18 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 10 r_{1} r_{4} r_{5}^2 + 20 r_{2} r_{4} r_{5}^2 + 11 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + 2 r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(542)}+[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 8 r_{1}^2 r_{3} + 28 r_{1} r_{2} r_{3} + 28 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 4 r_{3}^3 + 10 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 36 r_{2}^2 r_{4} + 26 r_{1} r_{3} r_{4} + 52 r_{2} r_{3} r_{4} + 16 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 32 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 18 r_{1} r_{2} r_{5} + 18 r_{2}^2 r_{5} + 13 r_{1} r_{3} r_{5} + 26 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 32 r_{2} r_{4} r_{5} + 20 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5421)}+[4 r_{1}^3 + 20 r_{1}^2 r_{2} + 36 r_{1} r_{2}^2 + 24 r_{2}^3 + 20 r_{1}^2 r_{3} + 72 r_{1} r_{2} r_{3} + 72 r_{2}^2 r_{3} + 36 r_{1} r_{3}^2 + 72 r_{2} r_{3}^2 + 24 r_{3}^3 + 20 r_{1}^2 r_{4} + 72 r_{1} r_{2} r_{4} + 72 r_{2}^2 r_{4} + 72 r_{1} r_{3} r_{4} + 144 r_{2} r_{3} r_{4} + 72 r_{3}^2 r_{4} + 36 r_{1} r_{4}^2 + 72 r_{2} r_{4}^2 + 72 r_{3} r_{4}^2 + 24 r_{4}^3 + 8 r_{1}^2 r_{5} + 28 r_{1} r_{2} r_{5} + 28 r_{2}^2 r_{5} + 28 r_{1} r_{3} r_{5} + 56 r_{2} r_{3} r_{5} + 28 r_{3}^2 r_{5} + 28 r_{1} r_{4} r_{5} + 56 r_{2} r_{4} r_{5} + 56 r_{3} r_{4} r_{5} + 28 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 10 r_{2} r_{5}^2 + 10 r_{3} r_{5}^2 + 10 r_{4} r_{5}^2 + r_{5}^3]s_{(543)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 16 r_{1} r_{3} + 32 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(5431)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(5432)}$


$s_{(5421)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 10 r_{1}^3 r_{3} + 46 r_{1}^2 r_{2} r_{3} + 78 r_{1} r_{2}^2 r_{3} + 52 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 60 r_{1} r_{2} r_{3}^2 + 60 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 56 r_{1}^2 r_{2} r_{4} + 96 r_{1} r_{2}^2 r_{4} + 64 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 148 r_{1} r_{2} r_{3} r_{4} + 148 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 104 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 88 r_{1} r_{2} r_{4}^2 + 88 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 124 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 48 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 7 r_{1}^3 r_{5} + 33 r_{1}^2 r_{2} r_{5} + 57 r_{1} r_{2}^2 r_{5} + 38 r_{2}^3 r_{5} + 26 r_{1}^2 r_{3} r_{5} + 88 r_{1} r_{2} r_{3} r_{5} + 88 r_{2}^2 r_{3} r_{5} + 31 r_{1} r_{3}^2 r_{5} + 62 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 31 r_{1}^2 r_{4} r_{5} + 106 r_{1} r_{2} r_{4} r_{5} + 106 r_{2}^2 r_{4} r_{5} + 75 r_{1} r_{3} r_{4} r_{5} + 150 r_{2} r_{3} r_{4} r_{5} + 44 r_{3}^2 r_{4} r_{5} + 44 r_{1} r_{4}^2 r_{5} + 88 r_{2} r_{4}^2 r_{5} + 52 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 31 r_{1} r_{2} r_{5}^2 + 31 r_{2}^2 r_{5}^2 + 22 r_{1} r_{3} r_{5}^2 + 44 r_{2} r_{3} r_{5}^2 + 13 r_{3}^2 r_{5}^2 + 26 r_{1} r_{4} r_{5}^2 + 52 r_{2} r_{4} r_{5}^2 + 31 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 10 r_{2} r_{5}^3 + 6 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5421)}+[4 r_{1}^3 + 20 r_{1}^2 r_{2} + 36 r_{1} r_{2}^2 + 24 r_{2}^3 + 20 r_{1}^2 r_{3} + 72 r_{1} r_{2} r_{3} + 72 r_{2}^2 r_{3} + 36 r_{1} r_{3}^2 + 72 r_{2} r_{3}^2 + 24 r_{3}^3 + 20 r_{1}^2 r_{4} + 72 r_{1} r_{2} r_{4} + 72 r_{2}^2 r_{4} + 72 r_{1} r_{3} r_{4} + 144 r_{2} r_{3} r_{4} + 72 r_{3}^2 r_{4} + 36 r_{1} r_{4}^2 + 72 r_{2} r_{4}^2 + 72 r_{3} r_{4}^2 + 24 r_{4}^3 + 12 r_{1}^2 r_{5} + 44 r_{1} r_{2} r_{5} + 44 r_{2}^2 r_{5} + 44 r_{1} r_{3} r_{5} + 88 r_{2} r_{3} r_{5} + 44 r_{3}^2 r_{5} + 44 r_{1} r_{4} r_{5} + 88 r_{2} r_{4} r_{5} + 88 r_{3} r_{4} r_{5} + 44 r_{4}^2 r_{5} + 13 r_{1} r_{5}^2 + 26 r_{2} r_{5}^2 + 26 r_{3} r_{5}^2 + 26 r_{4} r_{5}^2 + 5 r_{5}^3]s_{(5431)}+[4 r_{1}^2 + 16 r_{1} r_{2} + 16 r_{2}^2 + 16 r_{1} r_{3} + 32 r_{2} r_{3} + 16 r_{3}^2 + 16 r_{1} r_{4} + 32 r_{2} r_{4} + 32 r_{3} r_{4} + 16 r_{4}^2 + 8 r_{1} r_{5} + 16 r_{2} r_{5} + 16 r_{3} r_{5} + 16 r_{4} r_{5} + 4 r_{5}^2]s_{(5432)}+[2 r_{1} + 4 r_{2} + 4 r_{3} + 4 r_{4} + 2 r_{5}]s_{(54321)}$


$s_{(543)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 14 r_{1}^3 r_{3} + 66 r_{1}^2 r_{2} r_{3} + 114 r_{1} r_{2}^2 r_{3} + 76 r_{2}^3 r_{3} + 38 r_{1}^2 r_{3}^2 + 132 r_{1} r_{2} r_{3}^2 + 132 r_{2}^2 r_{3}^2 + 50 r_{1} r_{3}^3 + 100 r_{2} r_{3}^3 + 28 r_{3}^4 + 12 r_{1}^3 r_{4} + 56 r_{1}^2 r_{2} r_{4} + 96 r_{1} r_{2}^2 r_{4} + 64 r_{2}^3 r_{4} + 64 r_{1}^2 r_{3} r_{4} + 220 r_{1} r_{2} r_{3} r_{4} + 220 r_{2}^2 r_{3} r_{4} + 124 r_{1} r_{3}^2 r_{4} + 248 r_{2} r_{3}^2 r_{4} + 92 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 88 r_{1} r_{2} r_{4}^2 + 88 r_{2}^2 r_{4}^2 + 98 r_{1} r_{3} r_{4}^2 + 196 r_{2} r_{3} r_{4}^2 + 108 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 48 r_{2} r_{4}^3 + 52 r_{3} r_{4}^3 + 8 r_{4}^4 + 5 r_{1}^3 r_{5} + 23 r_{1}^2 r_{2} r_{5} + 39 r_{1} r_{2}^2 r_{5} + 26 r_{2}^3 r_{5} + 26 r_{1}^2 r_{3} r_{5} + 88 r_{1} r_{2} r_{3} r_{5} + 88 r_{2}^2 r_{3} r_{5} + 49 r_{1} r_{3}^2 r_{5} + 98 r_{2} r_{3}^2 r_{5} + 36 r_{3}^3 r_{5} + 21 r_{1}^2 r_{4} r_{5} + 70 r_{1} r_{2} r_{4} r_{5} + 70 r_{2}^2 r_{4} r_{5} + 77 r_{1} r_{3} r_{4} r_{5} + 154 r_{2} r_{3} r_{4} r_{5} + 84 r_{3}^2 r_{4} r_{5} + 28 r_{1} r_{4}^2 r_{5} + 56 r_{2} r_{4}^2 r_{5} + 60 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 4 r_{1}^2 r_{5}^2 + 13 r_{1} r_{2} r_{5}^2 + 13 r_{2}^2 r_{5}^2 + 14 r_{1} r_{3} r_{5}^2 + 28 r_{2} r_{3} r_{5}^2 + 15 r_{3}^2 r_{5}^2 + 10 r_{1} r_{4} r_{5}^2 + 20 r_{2} r_{4} r_{5}^2 + 21 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + 2 r_{2} r_{5}^3 + 2 r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(543)}+[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 12 r_{1}^2 r_{3} + 44 r_{1} r_{2} r_{3} + 44 r_{2}^2 r_{3} + 26 r_{1} r_{3}^2 + 52 r_{2} r_{3}^2 + 20 r_{3}^3 + 10 r_{1}^2 r_{4} + 36 r_{1} r_{2} r_{4} + 36 r_{2}^2 r_{4} + 42 r_{1} r_{3} r_{4} + 84 r_{2} r_{3} r_{4} + 48 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 32 r_{2} r_{4}^2 + 36 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 18 r_{1} r_{2} r_{5} + 18 r_{2}^2 r_{5} + 21 r_{1} r_{3} r_{5} + 42 r_{2} r_{3} r_{5} + 24 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 32 r_{2} r_{4} r_{5} + 36 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 8 r_{2} r_{5}^2 + 9 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5431)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 12 r_{3}^2 + 10 r_{1} r_{4} + 20 r_{2} r_{4} + 24 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 12 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(5432)}$


$s_{(5431)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 14 r_{1}^3 r_{3} + 66 r_{1}^2 r_{2} r_{3} + 114 r_{1} r_{2}^2 r_{3} + 76 r_{2}^3 r_{3} + 38 r_{1}^2 r_{3}^2 + 132 r_{1} r_{2} r_{3}^2 + 132 r_{2}^2 r_{3}^2 + 50 r_{1} r_{3}^3 + 100 r_{2} r_{3}^3 + 28 r_{3}^4 + 12 r_{1}^3 r_{4} + 56 r_{1}^2 r_{2} r_{4} + 96 r_{1} r_{2}^2 r_{4} + 64 r_{2}^3 r_{4} + 64 r_{1}^2 r_{3} r_{4} + 220 r_{1} r_{2} r_{3} r_{4} + 220 r_{2}^2 r_{3} r_{4} + 124 r_{1} r_{3}^2 r_{4} + 248 r_{2} r_{3}^2 r_{4} + 92 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 88 r_{1} r_{2} r_{4}^2 + 88 r_{2}^2 r_{4}^2 + 98 r_{1} r_{3} r_{4}^2 + 196 r_{2} r_{3} r_{4}^2 + 108 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 48 r_{2} r_{4}^3 + 52 r_{3} r_{4}^3 + 8 r_{4}^4 + 7 r_{1}^3 r_{5} + 33 r_{1}^2 r_{2} r_{5} + 57 r_{1} r_{2}^2 r_{5} + 38 r_{2}^3 r_{5} + 38 r_{1}^2 r_{3} r_{5} + 132 r_{1} r_{2} r_{3} r_{5} + 132 r_{2}^2 r_{3} r_{5} + 75 r_{1} r_{3}^2 r_{5} + 150 r_{2} r_{3}^2 r_{5} + 56 r_{3}^3 r_{5} + 31 r_{1}^2 r_{4} r_{5} + 106 r_{1} r_{2} r_{4} r_{5} + 106 r_{2}^2 r_{4} r_{5} + 119 r_{1} r_{3} r_{4} r_{5} + 238 r_{2} r_{3} r_{4} r_{5} + 132 r_{3}^2 r_{4} r_{5} + 44 r_{1} r_{4}^2 r_{5} + 88 r_{2} r_{4}^2 r_{5} + 96 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 31 r_{1} r_{2} r_{5}^2 + 31 r_{2}^2 r_{5}^2 + 35 r_{1} r_{3} r_{5}^2 + 70 r_{2} r_{3} r_{5}^2 + 39 r_{3}^2 r_{5}^2 + 26 r_{1} r_{4} r_{5}^2 + 52 r_{2} r_{4} r_{5}^2 + 57 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 10 r_{2} r_{5}^3 + 11 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5431)}+[4 r_{1}^3 + 20 r_{1}^2 r_{2} + 36 r_{1} r_{2}^2 + 24 r_{2}^3 + 24 r_{1}^2 r_{3} + 88 r_{1} r_{2} r_{3} + 88 r_{2}^2 r_{3} + 52 r_{1} r_{3}^2 + 104 r_{2} r_{3}^2 + 40 r_{3}^3 + 24 r_{1}^2 r_{4} + 88 r_{1} r_{2} r_{4} + 88 r_{2}^2 r_{4} + 104 r_{1} r_{3} r_{4} + 208 r_{2} r_{3} r_{4} + 120 r_{3}^2 r_{4} + 52 r_{1} r_{4}^2 + 104 r_{2} r_{4}^2 + 120 r_{3} r_{4}^2 + 40 r_{4}^3 + 12 r_{1}^2 r_{5} + 44 r_{1} r_{2} r_{5} + 44 r_{2}^2 r_{5} + 52 r_{1} r_{3} r_{5} + 104 r_{2} r_{3} r_{5} + 60 r_{3}^2 r_{5} + 52 r_{1} r_{4} r_{5} + 104 r_{2} r_{4} r_{5} + 120 r_{3} r_{4} r_{5} + 60 r_{4}^2 r_{5} + 13 r_{1} r_{5}^2 + 26 r_{2} r_{5}^2 + 30 r_{3} r_{5}^2 + 30 r_{4} r_{5}^2 + 5 r_{5}^3]s_{(5432)}+[2 r_{1}^2 + 8 r_{1} r_{2} + 8 r_{2}^2 + 10 r_{1} r_{3} + 20 r_{2} r_{3} + 12 r_{3}^2 + 10 r_{1} r_{4} + 20 r_{2} r_{4} + 24 r_{3} r_{4} + 12 r_{4}^2 + 5 r_{1} r_{5} + 10 r_{2} r_{5} + 12 r_{3} r_{5} + 12 r_{4} r_{5} + 3 r_{5}^2]s_{(54321)}$


$s_{(5432)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 14 r_{1}^3 r_{3} + 66 r_{1}^2 r_{2} r_{3} + 114 r_{1} r_{2}^2 r_{3} + 76 r_{2}^3 r_{3} + 38 r_{1}^2 r_{3}^2 + 132 r_{1} r_{2} r_{3}^2 + 132 r_{2}^2 r_{3}^2 + 50 r_{1} r_{3}^3 + 100 r_{2} r_{3}^3 + 28 r_{3}^4 + 16 r_{1}^3 r_{4} + 76 r_{1}^2 r_{2} r_{4} + 132 r_{1} r_{2}^2 r_{4} + 88 r_{2}^3 r_{4} + 88 r_{1}^2 r_{3} r_{4} + 308 r_{1} r_{2} r_{3} r_{4} + 308 r_{2}^2 r_{3} r_{4} + 176 r_{1} r_{3}^2 r_{4} + 352 r_{2} r_{3}^2 r_{4} + 132 r_{3}^3 r_{4} + 50 r_{1}^2 r_{4}^2 + 176 r_{1} r_{2} r_{4}^2 + 176 r_{2}^2 r_{4}^2 + 202 r_{1} r_{3} r_{4}^2 + 404 r_{2} r_{3} r_{4}^2 + 228 r_{3}^2 r_{4}^2 + 76 r_{1} r_{4}^3 + 152 r_{2} r_{4}^3 + 172 r_{3} r_{4}^3 + 48 r_{4}^4 + 7 r_{1}^3 r_{5} + 33 r_{1}^2 r_{2} r_{5} + 57 r_{1} r_{2}^2 r_{5} + 38 r_{2}^3 r_{5} + 38 r_{1}^2 r_{3} r_{5} + 132 r_{1} r_{2} r_{3} r_{5} + 132 r_{2}^2 r_{3} r_{5} + 75 r_{1} r_{3}^2 r_{5} + 150 r_{2} r_{3}^2 r_{5} + 56 r_{3}^3 r_{5} + 43 r_{1}^2 r_{4} r_{5} + 150 r_{1} r_{2} r_{4} r_{5} + 150 r_{2}^2 r_{4} r_{5} + 171 r_{1} r_{3} r_{4} r_{5} + 342 r_{2} r_{3} r_{4} r_{5} + 192 r_{3}^2 r_{4} r_{5} + 96 r_{1} r_{4}^2 r_{5} + 192 r_{2} r_{4}^2 r_{5} + 216 r_{3} r_{4}^2 r_{5} + 80 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 31 r_{1} r_{2} r_{5}^2 + 31 r_{2}^2 r_{5}^2 + 35 r_{1} r_{3} r_{5}^2 + 70 r_{2} r_{3} r_{5}^2 + 39 r_{3}^2 r_{5}^2 + 39 r_{1} r_{4} r_{5}^2 + 78 r_{2} r_{4} r_{5}^2 + 87 r_{3} r_{4} r_{5}^2 + 48 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 10 r_{2} r_{5}^3 + 11 r_{3} r_{5}^3 + 12 r_{4} r_{5}^3 + r_{5}^4]s_{(5432)}+[2 r_{1}^3 + 10 r_{1}^2 r_{2} + 18 r_{1} r_{2}^2 + 12 r_{2}^3 + 12 r_{1}^2 r_{3} + 44 r_{1} r_{2} r_{3} + 44 r_{2}^2 r_{3} + 26 r_{1} r_{3}^2 + 52 r_{2} r_{3}^2 + 20 r_{3}^3 + 14 r_{1}^2 r_{4} + 52 r_{1} r_{2} r_{4} + 52 r_{2}^2 r_{4} + 62 r_{1} r_{3} r_{4} + 124 r_{2} r_{3} r_{4} + 72 r_{3}^2 r_{4} + 36 r_{1} r_{4}^2 + 72 r_{2} r_{4}^2 + 84 r_{3} r_{4}^2 + 32 r_{4}^3 + 7 r_{1}^2 r_{5} + 26 r_{1} r_{2} r_{5} + 26 r_{2}^2 r_{5} + 31 r_{1} r_{3} r_{5} + 62 r_{2} r_{3} r_{5} + 36 r_{3}^2 r_{5} + 36 r_{1} r_{4} r_{5} + 72 r_{2} r_{4} r_{5} + 84 r_{3} r_{4} r_{5} + 48 r_{4}^2 r_{5} + 9 r_{1} r_{5}^2 + 18 r_{2} r_{5}^2 + 21 r_{3} r_{5}^2 + 24 r_{4} r_{5}^2 + 4 r_{5}^3]s_{(54321)}$


$s_{(54321)}\cdot s_{(4)}=[2 r_{1}^4 + 12 r_{1}^3 r_{2} + 28 r_{1}^2 r_{2}^2 + 32 r_{1} r_{2}^3 + 16 r_{2}^4 + 14 r_{1}^3 r_{3} + 66 r_{1}^2 r_{2} r_{3} + 114 r_{1} r_{2}^2 r_{3} + 76 r_{2}^3 r_{3} + 38 r_{1}^2 r_{3}^2 + 132 r_{1} r_{2} r_{3}^2 + 132 r_{2}^2 r_{3}^2 + 50 r_{1} r_{3}^3 + 100 r_{2} r_{3}^3 + 28 r_{3}^4 + 16 r_{1}^3 r_{4} + 76 r_{1}^2 r_{2} r_{4} + 132 r_{1} r_{2}^2 r_{4} + 88 r_{2}^3 r_{4} + 88 r_{1}^2 r_{3} r_{4} + 308 r_{1} r_{2} r_{3} r_{4} + 308 r_{2}^2 r_{3} r_{4} + 176 r_{1} r_{3}^2 r_{4} + 352 r_{2} r_{3}^2 r_{4} + 132 r_{3}^3 r_{4} + 50 r_{1}^2 r_{4}^2 + 176 r_{1} r_{2} r_{4}^2 + 176 r_{2}^2 r_{4}^2 + 202 r_{1} r_{3} r_{4}^2 + 404 r_{2} r_{3} r_{4}^2 + 228 r_{3}^2 r_{4}^2 + 76 r_{1} r_{4}^3 + 152 r_{2} r_{4}^3 + 172 r_{3} r_{4}^3 + 48 r_{4}^4 + 9 r_{1}^3 r_{5} + 43 r_{1}^2 r_{2} r_{5} + 75 r_{1} r_{2}^2 r_{5} + 50 r_{2}^3 r_{5} + 50 r_{1}^2 r_{3} r_{5} + 176 r_{1} r_{2} r_{3} r_{5} + 176 r_{2}^2 r_{3} r_{5} + 101 r_{1} r_{3}^2 r_{5} + 202 r_{2} r_{3}^2 r_{5} + 76 r_{3}^3 r_{5} + 57 r_{1}^2 r_{4} r_{5} + 202 r_{1} r_{2} r_{4} r_{5} + 202 r_{2}^2 r_{4} r_{5} + 233 r_{1} r_{3} r_{4} r_{5} + 466 r_{2} r_{3} r_{4} r_{5} + 264 r_{3}^2 r_{4} r_{5} + 132 r_{1} r_{4}^2 r_{5} + 264 r_{2} r_{4}^2 r_{5} + 300 r_{3} r_{4}^2 r_{5} + 112 r_{4}^3 r_{5} + 16 r_{1}^2 r_{5}^2 + 57 r_{1} r_{2} r_{5}^2 + 57 r_{2}^2 r_{5}^2 + 66 r_{1} r_{3} r_{5}^2 + 132 r_{2} r_{3} r_{5}^2 + 75 r_{3}^2 r_{5}^2 + 75 r_{1} r_{4} r_{5}^2 + 150 r_{2} r_{4} r_{5}^2 + 171 r_{3} r_{4} r_{5}^2 + 96 r_{4}^2 r_{5}^2 + 14 r_{1} r_{5}^3 + 28 r_{2} r_{5}^3 + 32 r_{3} r_{5}^3 + 36 r_{4} r_{5}^3 + 5 r_{5}^4]s_{(54321)}$


$s_{(1)}\cdot s_{(5)}=[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5)}+1s_{(51)}$


$s_{(2)}\cdot s_{(5)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(5)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(51)}+1s_{(52)}$


$s_{(21)}\cdot s_{(5)}=[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(51)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(52)}+1s_{(521)}$


$s_{(3)}\cdot s_{(5)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{1}^2 r_{5} + 2 r_{1} r_{2} r_{5} + r_{2}^2 r_{5} + 2 r_{1} r_{3} r_{5} + 2 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{1} r_{4} r_{5} + r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{1} r_{4} + 2 r_{2} r_{4} + 2 r_{3} r_{4} + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5}]s_{(51)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(52)}+1s_{(53)}$


$s_{(31)}\cdot s_{(5)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{1} r_{4} r_{5} + 3 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(52)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(521)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(53)}+1s_{(531)}$


$s_{(32)}\cdot s_{(5)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 7 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(521)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(53)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(531)}+1s_{(532)}$


$s_{(321)}\cdot s_{(5)}=[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 10 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 13 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(521)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(531)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(532)}+1s_{(5321)}$


$s_{(4)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 4 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 4 r_{2}^3 r_{4} + 8 r_{1}^2 r_{3} r_{4} + 16 r_{1} r_{2} r_{3} r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{1} r_{3}^2 r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 2 r_{2}^2 r_{4}^2 + 2 r_{1} r_{3} r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + r_{1}^3 r_{5} + 3 r_{1}^2 r_{2} r_{5} + 3 r_{1} r_{2}^2 r_{5} + r_{2}^3 r_{5} + 2 r_{1}^2 r_{3} r_{5} + 4 r_{1} r_{2} r_{3} r_{5} + 2 r_{2}^2 r_{3} r_{5} + r_{1} r_{3}^2 r_{5} + r_{2} r_{3}^2 r_{5} + r_{1}^2 r_{4} r_{5} + 2 r_{1} r_{2} r_{4} r_{5} + r_{2}^2 r_{4} r_{5} + r_{1} r_{3} r_{4} r_{5} + r_{2} r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 4 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{2}^2 r_{3} + 2 r_{1} r_{3}^2 + 2 r_{2} r_{3}^2 + 2 r_{1}^2 r_{4} + 4 r_{1} r_{2} r_{4} + 2 r_{2}^2 r_{4} + 2 r_{1} r_{3} r_{4} + 2 r_{2} r_{3} r_{4} + r_{1}^2 r_{5} + 2 r_{1} r_{2} r_{5} + r_{2}^2 r_{5} + r_{1} r_{3} r_{5} + r_{2} r_{3} r_{5}]s_{(51)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 2 r_{1} r_{3} + 2 r_{2} r_{3} + 2 r_{1} r_{4} + 2 r_{2} r_{4} + r_{1} r_{5} + r_{2} r_{5}]s_{(52)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(53)}+1s_{(54)}$


$s_{(41)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 4 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 4 r_{2}^3 r_{4} + 8 r_{1}^2 r_{3} r_{4} + 16 r_{1} r_{2} r_{3} r_{4} + 8 r_{2}^2 r_{3} r_{4} + 4 r_{1} r_{3}^2 r_{4} + 4 r_{2} r_{3}^2 r_{4} + 2 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 2 r_{2}^2 r_{4}^2 + 2 r_{1} r_{3} r_{4}^2 + 2 r_{2} r_{3} r_{4}^2 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 6 r_{1}^2 r_{3} r_{5} + 12 r_{1} r_{2} r_{3} r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{1} r_{3}^2 r_{5} + 3 r_{2} r_{3}^2 r_{5} + 3 r_{1}^2 r_{4} r_{5} + 6 r_{1} r_{2} r_{4} r_{5} + 3 r_{2}^2 r_{4} r_{5} + 3 r_{1} r_{3} r_{4} r_{5} + 3 r_{2} r_{3} r_{4} r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{2} r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 4 r_{1} r_{3}^2 + 4 r_{2} r_{3}^2 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(52)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 2 r_{1} r_{3} + 2 r_{2} r_{3} + 2 r_{1} r_{4} + 2 r_{2} r_{4} + r_{1} r_{5} + r_{2} r_{5}]s_{(521)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(53)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(531)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(54)}+1s_{(541)}$


$s_{(42)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 16 r_{1}^2 r_{3} r_{4} + 32 r_{1} r_{2} r_{3} r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 10 r_{1} r_{3} r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 6 r_{1}^2 r_{3} r_{5} + 12 r_{1} r_{2} r_{3} r_{5} + 6 r_{2}^2 r_{3} r_{5} + 3 r_{1} r_{3}^2 r_{5} + 3 r_{2} r_{3}^2 r_{5} + 7 r_{1}^2 r_{4} r_{5} + 14 r_{1} r_{2} r_{4} r_{5} + 7 r_{2}^2 r_{4} r_{5} + 7 r_{1} r_{3} r_{4} r_{5} + 7 r_{2} r_{3} r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 4 r_{2} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{2} r_{3} r_{5}^2 + r_{1} r_{4} r_{5}^2 + r_{2} r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 4 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{2}^2 r_{3} + 2 r_{1} r_{3}^2 + 2 r_{2} r_{3}^2 + 6 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 6 r_{2}^2 r_{4} + 6 r_{1} r_{3} r_{4} + 6 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 3 r_{1} r_{3} r_{5} + 3 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(521)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 8 r_{1} r_{3} r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 8 r_{1} r_{4} r_{5} + 8 r_{2} r_{4} r_{5} + 8 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(53)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(531)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(532)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(54)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(541)}+1s_{(542)}$


$s_{(421)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 6 r_{1}^3 r_{3} + 18 r_{1}^2 r_{2} r_{3} + 18 r_{1} r_{2}^2 r_{3} + 6 r_{2}^3 r_{3} + 6 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 6 r_{2}^2 r_{3}^2 + 2 r_{1} r_{3}^3 + 2 r_{2} r_{3}^3 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 16 r_{1}^2 r_{3} r_{4} + 32 r_{1} r_{2} r_{3} r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 8 r_{2} r_{3}^2 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 10 r_{1} r_{3} r_{4}^2 + 10 r_{2} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 10 r_{1}^2 r_{3} r_{5} + 20 r_{1} r_{2} r_{3} r_{5} + 10 r_{2}^2 r_{3} r_{5} + 5 r_{1} r_{3}^2 r_{5} + 5 r_{2} r_{3}^2 r_{5} + 13 r_{1}^2 r_{4} r_{5} + 26 r_{1} r_{2} r_{4} r_{5} + 13 r_{2}^2 r_{4} r_{5} + 13 r_{1} r_{3} r_{4} r_{5} + 13 r_{2} r_{3} r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 4 r_{1} r_{3} r_{5}^2 + 4 r_{2} r_{3} r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3]s_{(521)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 16 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(531)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(532)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5321)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(541)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(542)}+1s_{(5421)}$


$s_{(43)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 56 r_{1} r_{2} r_{3} r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 3 r_{1}^3 r_{5} + 9 r_{1}^2 r_{2} r_{5} + 9 r_{1} r_{2}^2 r_{5} + 3 r_{2}^3 r_{5} + 10 r_{1}^2 r_{3} r_{5} + 20 r_{1} r_{2} r_{3} r_{5} + 10 r_{2}^2 r_{3} r_{5} + 11 r_{1} r_{3}^2 r_{5} + 11 r_{2} r_{3}^2 r_{5} + 4 r_{3}^3 r_{5} + 7 r_{1}^2 r_{4} r_{5} + 14 r_{1} r_{2} r_{4} r_{5} + 7 r_{2}^2 r_{4} r_{5} + 15 r_{1} r_{3} r_{4} r_{5} + 15 r_{2} r_{3} r_{4} r_{5} + 8 r_{3}^2 r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 4 r_{2} r_{4}^2 r_{5} + 4 r_{3} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + 2 r_{1} r_{3} r_{5}^2 + 2 r_{2} r_{3} r_{5}^2 + r_{3}^2 r_{5}^2 + r_{1} r_{4} r_{5}^2 + r_{2} r_{4} r_{5}^2 + r_{3} r_{4} r_{5}^2]s_{(53)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 6 r_{1}^2 r_{4} + 12 r_{1} r_{2} r_{4} + 6 r_{2}^2 r_{4} + 14 r_{1} r_{3} r_{4} + 14 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 4 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 7 r_{1} r_{3} r_{5} + 7 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + 4 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(531)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 6 r_{1} r_{3} + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(532)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + r_{1}^2 r_{5} + 2 r_{1} r_{2} r_{5} + r_{2}^2 r_{5} + 2 r_{1} r_{3} r_{5} + 2 r_{2} r_{3} r_{5} + r_{3}^2 r_{5} + r_{1} r_{4} r_{5} + r_{2} r_{4} r_{5} + r_{3} r_{4} r_{5}]s_{(54)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 2 r_{1} r_{4} + 2 r_{2} r_{4} + 2 r_{3} r_{4} + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5}]s_{(541)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(542)}+1s_{(543)}$


$s_{(431)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 8 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 24 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 28 r_{1}^2 r_{3} r_{4} + 56 r_{1} r_{2} r_{3} r_{4} + 28 r_{2}^2 r_{3} r_{4} + 32 r_{1} r_{3}^2 r_{4} + 32 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 10 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 10 r_{2}^2 r_{4}^2 + 22 r_{1} r_{3} r_{4}^2 + 22 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 36 r_{1} r_{2} r_{3} r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 13 r_{1}^2 r_{4} r_{5} + 26 r_{1} r_{2} r_{4} r_{5} + 13 r_{2}^2 r_{4} r_{5} + 29 r_{1} r_{3} r_{4} r_{5} + 29 r_{2} r_{3} r_{4} r_{5} + 16 r_{3}^2 r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 8 r_{3} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + 5 r_{3} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(531)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 16 r_{1}^2 r_{3} + 32 r_{1} r_{2} r_{3} + 16 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 32 r_{1} r_{2} r_{4} + 16 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 40 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 20 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(532)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 6 r_{1} r_{3} + 6 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5321)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 4 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 4 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{3}^2 r_{4} + 2 r_{1} r_{4}^2 + 2 r_{2} r_{4}^2 + 2 r_{3} r_{4}^2 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 3 r_{1} r_{4} r_{5} + 3 r_{2} r_{4} r_{5} + 3 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(541)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(542)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5421)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(543)}+1s_{(5431)}$


$s_{(432)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 88 r_{1} r_{2} r_{3} r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 52 r_{1} r_{2} r_{4}^2 + 26 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 5 r_{1}^3 r_{5} + 15 r_{1}^2 r_{2} r_{5} + 15 r_{1} r_{2}^2 r_{5} + 5 r_{2}^3 r_{5} + 18 r_{1}^2 r_{3} r_{5} + 36 r_{1} r_{2} r_{3} r_{5} + 18 r_{2}^2 r_{3} r_{5} + 21 r_{1} r_{3}^2 r_{5} + 21 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 21 r_{1}^2 r_{4} r_{5} + 42 r_{1} r_{2} r_{4} r_{5} + 21 r_{2}^2 r_{4} r_{5} + 49 r_{1} r_{3} r_{4} r_{5} + 49 r_{2} r_{3} r_{4} r_{5} + 28 r_{3}^2 r_{4} r_{5} + 28 r_{1} r_{4}^2 r_{5} + 28 r_{2} r_{4}^2 r_{5} + 32 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 4 r_{1}^2 r_{5}^2 + 8 r_{1} r_{2} r_{5}^2 + 4 r_{2}^2 r_{5}^2 + 9 r_{1} r_{3} r_{5}^2 + 9 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 10 r_{1} r_{4} r_{5}^2 + 10 r_{2} r_{4} r_{5}^2 + 11 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(532)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 8 r_{1}^2 r_{3} + 16 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 10 r_{1} r_{3}^2 + 10 r_{2} r_{3}^2 + 4 r_{3}^3 + 10 r_{1}^2 r_{4} + 20 r_{1} r_{2} r_{4} + 10 r_{2}^2 r_{4} + 26 r_{1} r_{3} r_{4} + 26 r_{2} r_{3} r_{4} + 16 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 16 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 13 r_{1} r_{3} r_{5} + 13 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 20 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5321)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 3 r_{1}^2 r_{5} + 6 r_{1} r_{2} r_{5} + 3 r_{2}^2 r_{5} + 6 r_{1} r_{3} r_{5} + 6 r_{2} r_{3} r_{5} + 3 r_{3}^2 r_{5} + 7 r_{1} r_{4} r_{5} + 7 r_{2} r_{4} r_{5} + 7 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(542)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 6 r_{1} r_{4} + 6 r_{2} r_{4} + 6 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5421)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + r_{1} r_{5} + r_{2} r_{5} + r_{3} r_{5} + r_{4} r_{5}]s_{(543)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5431)}+1s_{(5432)}$


$s_{(4321)}\cdot s_{(5)}=[2 r_{1}^4 + 8 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 8 r_{1} r_{2}^3 + 2 r_{2}^4 + 10 r_{1}^3 r_{3} + 30 r_{1}^2 r_{2} r_{3} + 30 r_{1} r_{2}^2 r_{3} + 10 r_{2}^3 r_{3} + 18 r_{1}^2 r_{3}^2 + 36 r_{1} r_{2} r_{3}^2 + 18 r_{2}^2 r_{3}^2 + 14 r_{1} r_{3}^3 + 14 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 44 r_{1}^2 r_{3} r_{4} + 88 r_{1} r_{2} r_{3} r_{4} + 44 r_{2}^2 r_{3} r_{4} + 52 r_{1} r_{3}^2 r_{4} + 52 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 26 r_{1}^2 r_{4}^2 + 52 r_{1} r_{2} r_{4}^2 + 26 r_{2}^2 r_{4}^2 + 62 r_{1} r_{3} r_{4}^2 + 62 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 24 r_{1} r_{4}^3 + 24 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 7 r_{1}^3 r_{5} + 21 r_{1}^2 r_{2} r_{5} + 21 r_{1} r_{2}^2 r_{5} + 7 r_{2}^3 r_{5} + 26 r_{1}^2 r_{3} r_{5} + 52 r_{1} r_{2} r_{3} r_{5} + 26 r_{2}^2 r_{3} r_{5} + 31 r_{1} r_{3}^2 r_{5} + 31 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 31 r_{1}^2 r_{4} r_{5} + 62 r_{1} r_{2} r_{4} r_{5} + 31 r_{2}^2 r_{4} r_{5} + 75 r_{1} r_{3} r_{4} r_{5} + 75 r_{2} r_{3} r_{4} r_{5} + 44 r_{3}^2 r_{4} r_{5} + 44 r_{1} r_{4}^2 r_{5} + 44 r_{2} r_{4}^2 r_{5} + 52 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 18 r_{1} r_{2} r_{5}^2 + 9 r_{2}^2 r_{5}^2 + 22 r_{1} r_{3} r_{5}^2 + 22 r_{2} r_{3} r_{5}^2 + 13 r_{3}^2 r_{5}^2 + 26 r_{1} r_{4} r_{5}^2 + 26 r_{2} r_{4} r_{5}^2 + 31 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 5 r_{2} r_{5}^3 + 6 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5321)}+[2 r_{1}^3 + 6 r_{1}^2 r_{2} + 6 r_{1} r_{2}^2 + 2 r_{2}^3 + 6 r_{1}^2 r_{3} + 12 r_{1} r_{2} r_{3} + 6 r_{2}^2 r_{3} + 6 r_{1} r_{3}^2 + 6 r_{2} r_{3}^2 + 2 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 10 r_{1} r_{4}^2 + 10 r_{2} r_{4}^2 + 10 r_{3} r_{4}^2 + 4 r_{4}^3 + 5 r_{1}^2 r_{5} + 10 r_{1} r_{2} r_{5} + 5 r_{2}^2 r_{5} + 10 r_{1} r_{3} r_{5} + 10 r_{2} r_{3} r_{5} + 5 r_{3}^2 r_{5} + 13 r_{1} r_{4} r_{5} + 13 r_{2} r_{4} r_{5} + 13 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 4 r_{2} r_{5}^2 + 4 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(5421)}+[2 r_{1}^2 + 4 r_{1} r_{2} + 2 r_{2}^2 + 4 r_{1} r_{3} + 4 r_{2} r_{3} + 2 r_{3}^2 + 4 r_{1} r_{4} + 4 r_{2} r_{4} + 4 r_{3} r_{4} + 2 r_{4}^2 + 3 r_{1} r_{5} + 3 r_{2} r_{5} + 3 r_{3} r_{5} + 3 r_{4} r_{5} + r_{5}^2]s_{(5431)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5432)}+1s_{(54321)}$


$s_{(5)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 6 r_{1}^4 r_{3} + 18 r_{1}^3 r_{2} r_{3} + 18 r_{1}^2 r_{2}^2 r_{3} + 6 r_{1} r_{2}^3 r_{3} + 6 r_{1}^3 r_{3}^2 + 12 r_{1}^2 r_{2} r_{3}^2 + 6 r_{1} r_{2}^2 r_{3}^2 + 2 r_{1}^2 r_{3}^3 + 2 r_{1} r_{2} r_{3}^3 + 4 r_{1}^4 r_{4} + 12 r_{1}^3 r_{2} r_{4} + 12 r_{1}^2 r_{2}^2 r_{4} + 4 r_{1} r_{2}^3 r_{4} + 8 r_{1}^3 r_{3} r_{4} + 16 r_{1}^2 r_{2} r_{3} r_{4} + 8 r_{1} r_{2}^2 r_{3} r_{4} + 4 r_{1}^2 r_{3}^2 r_{4} + 4 r_{1} r_{2} r_{3}^2 r_{4} + 2 r_{1}^3 r_{4}^2 + 4 r_{1}^2 r_{2} r_{4}^2 + 2 r_{1} r_{2}^2 r_{4}^2 + 2 r_{1}^2 r_{3} r_{4}^2 + 2 r_{1} r_{2} r_{3} r_{4}^2 + r_{1}^4 r_{5} + 3 r_{1}^3 r_{2} r_{5} + 3 r_{1}^2 r_{2}^2 r_{5} + r_{1} r_{2}^3 r_{5} + 2 r_{1}^3 r_{3} r_{5} + 4 r_{1}^2 r_{2} r_{3} r_{5} + 2 r_{1} r_{2}^2 r_{3} r_{5} + r_{1}^2 r_{3}^2 r_{5} + r_{1} r_{2} r_{3}^2 r_{5} + r_{1}^3 r_{4} r_{5} + 2 r_{1}^2 r_{2} r_{4} r_{5} + r_{1} r_{2}^2 r_{4} r_{5} + r_{1}^2 r_{3} r_{4} r_{5} + r_{1} r_{2} r_{3} r_{4} r_{5}]s_{(5)}+[2 r_{1}^4 + 6 r_{1}^3 r_{2} + 6 r_{1}^2 r_{2}^2 + 2 r_{1} r_{2}^3 + 4 r_{1}^3 r_{3} + 8 r_{1}^2 r_{2} r_{3} + 4 r_{1} r_{2}^2 r_{3} + 2 r_{1}^2 r_{3}^2 + 2 r_{1} r_{2} r_{3}^2 + 2 r_{1}^3 r_{4} + 4 r_{1}^2 r_{2} r_{4} + 2 r_{1} r_{2}^2 r_{4} + 2 r_{1}^2 r_{3} r_{4} + 2 r_{1} r_{2} r_{3} r_{4} + r_{1}^3 r_{5} + 2 r_{1}^2 r_{2} r_{5} + r_{1} r_{2}^2 r_{5} + r_{1}^2 r_{3} r_{5} + r_{1} r_{2} r_{3} r_{5}]s_{(51)}+[2 r_{1}^3 + 4 r_{1}^2 r_{2} + 2 r_{1} r_{2}^2 + 2 r_{1}^2 r_{3} + 2 r_{1} r_{2} r_{3} + 2 r_{1}^2 r_{4} + 2 r_{1} r_{2} r_{4} + r_{1}^2 r_{5} + r_{1} r_{2} r_{5}]s_{(52)}+[2 r_{1}^2 + 2 r_{1} r_{2} + 2 r_{1} r_{3} + 2 r_{1} r_{4} + r_{1} r_{5}]s_{(53)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(54)}$


$s_{(51)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 6 r_{1}^4 r_{3} + 18 r_{1}^3 r_{2} r_{3} + 18 r_{1}^2 r_{2}^2 r_{3} + 6 r_{1} r_{2}^3 r_{3} + 6 r_{1}^3 r_{3}^2 + 12 r_{1}^2 r_{2} r_{3}^2 + 6 r_{1} r_{2}^2 r_{3}^2 + 2 r_{1}^2 r_{3}^3 + 2 r_{1} r_{2} r_{3}^3 + 4 r_{1}^4 r_{4} + 12 r_{1}^3 r_{2} r_{4} + 12 r_{1}^2 r_{2}^2 r_{4} + 4 r_{1} r_{2}^3 r_{4} + 8 r_{1}^3 r_{3} r_{4} + 16 r_{1}^2 r_{2} r_{3} r_{4} + 8 r_{1} r_{2}^2 r_{3} r_{4} + 4 r_{1}^2 r_{3}^2 r_{4} + 4 r_{1} r_{2} r_{3}^2 r_{4} + 2 r_{1}^3 r_{4}^2 + 4 r_{1}^2 r_{2} r_{4}^2 + 2 r_{1} r_{2}^2 r_{4}^2 + 2 r_{1}^2 r_{3} r_{4}^2 + 2 r_{1} r_{2} r_{3} r_{4}^2 + 3 r_{1}^4 r_{5} + 9 r_{1}^3 r_{2} r_{5} + 9 r_{1}^2 r_{2}^2 r_{5} + 3 r_{1} r_{2}^3 r_{5} + 6 r_{1}^3 r_{3} r_{5} + 12 r_{1}^2 r_{2} r_{3} r_{5} + 6 r_{1} r_{2}^2 r_{3} r_{5} + 3 r_{1}^2 r_{3}^2 r_{5} + 3 r_{1} r_{2} r_{3}^2 r_{5} + 3 r_{1}^3 r_{4} r_{5} + 6 r_{1}^2 r_{2} r_{4} r_{5} + 3 r_{1} r_{2}^2 r_{4} r_{5} + 3 r_{1}^2 r_{3} r_{4} r_{5} + 3 r_{1} r_{2} r_{3} r_{4} r_{5} + r_{1}^3 r_{5}^2 + 2 r_{1}^2 r_{2} r_{5}^2 + r_{1} r_{2}^2 r_{5}^2 + r_{1}^2 r_{3} r_{5}^2 + r_{1} r_{2} r_{3} r_{5}^2]s_{(51)}+[4 r_{1}^4 + 12 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 4 r_{1} r_{2}^3 + 8 r_{1}^3 r_{3} + 16 r_{1}^2 r_{2} r_{3} + 8 r_{1} r_{2}^2 r_{3} + 4 r_{1}^2 r_{3}^2 + 4 r_{1} r_{2} r_{3}^2 + 8 r_{1}^3 r_{4} + 16 r_{1}^2 r_{2} r_{4} + 8 r_{1} r_{2}^2 r_{4} + 8 r_{1}^2 r_{3} r_{4} + 8 r_{1} r_{2} r_{3} r_{4} + 4 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 4 r_{1}^3 r_{5} + 8 r_{1}^2 r_{2} r_{5} + 4 r_{1} r_{2}^2 r_{5} + 4 r_{1}^2 r_{3} r_{5} + 4 r_{1} r_{2} r_{3} r_{5} + 4 r_{1}^2 r_{4} r_{5} + 4 r_{1} r_{2} r_{4} r_{5} + r_{1}^2 r_{5}^2 + r_{1} r_{2} r_{5}^2]s_{(52)}+[2 r_{1}^3 + 4 r_{1}^2 r_{2} + 2 r_{1} r_{2}^2 + 2 r_{1}^2 r_{3} + 2 r_{1} r_{2} r_{3} + 2 r_{1}^2 r_{4} + 2 r_{1} r_{2} r_{4} + r_{1}^2 r_{5} + r_{1} r_{2} r_{5}]s_{(521)}+[4 r_{1}^3 + 8 r_{1}^2 r_{2} + 4 r_{1} r_{2}^2 + 8 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{1} r_{3}^2 + 8 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 8 r_{1} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{1}^2 r_{5} + 4 r_{1} r_{2} r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + r_{1} r_{5}^2]s_{(53)}+[2 r_{1}^2 + 2 r_{1} r_{2} + 2 r_{1} r_{3} + 2 r_{1} r_{4} + r_{1} r_{5}]s_{(531)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(54)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(541)}$


$s_{(52)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 6 r_{1}^4 r_{3} + 18 r_{1}^3 r_{2} r_{3} + 18 r_{1}^2 r_{2}^2 r_{3} + 6 r_{1} r_{2}^3 r_{3} + 6 r_{1}^3 r_{3}^2 + 12 r_{1}^2 r_{2} r_{3}^2 + 6 r_{1} r_{2}^2 r_{3}^2 + 2 r_{1}^2 r_{3}^3 + 2 r_{1} r_{2} r_{3}^3 + 8 r_{1}^4 r_{4} + 24 r_{1}^3 r_{2} r_{4} + 24 r_{1}^2 r_{2}^2 r_{4} + 8 r_{1} r_{2}^3 r_{4} + 16 r_{1}^3 r_{3} r_{4} + 32 r_{1}^2 r_{2} r_{3} r_{4} + 16 r_{1} r_{2}^2 r_{3} r_{4} + 8 r_{1}^2 r_{3}^2 r_{4} + 8 r_{1} r_{2} r_{3}^2 r_{4} + 10 r_{1}^3 r_{4}^2 + 20 r_{1}^2 r_{2} r_{4}^2 + 10 r_{1} r_{2}^2 r_{4}^2 + 10 r_{1}^2 r_{3} r_{4}^2 + 10 r_{1} r_{2} r_{3} r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 4 r_{1} r_{2} r_{4}^3 + 3 r_{1}^4 r_{5} + 9 r_{1}^3 r_{2} r_{5} + 9 r_{1}^2 r_{2}^2 r_{5} + 3 r_{1} r_{2}^3 r_{5} + 6 r_{1}^3 r_{3} r_{5} + 12 r_{1}^2 r_{2} r_{3} r_{5} + 6 r_{1} r_{2}^2 r_{3} r_{5} + 3 r_{1}^2 r_{3}^2 r_{5} + 3 r_{1} r_{2} r_{3}^2 r_{5} + 7 r_{1}^3 r_{4} r_{5} + 14 r_{1}^2 r_{2} r_{4} r_{5} + 7 r_{1} r_{2}^2 r_{4} r_{5} + 7 r_{1}^2 r_{3} r_{4} r_{5} + 7 r_{1} r_{2} r_{3} r_{4} r_{5} + 4 r_{1}^2 r_{4}^2 r_{5} + 4 r_{1} r_{2} r_{4}^2 r_{5} + r_{1}^3 r_{5}^2 + 2 r_{1}^2 r_{2} r_{5}^2 + r_{1} r_{2}^2 r_{5}^2 + r_{1}^2 r_{3} r_{5}^2 + r_{1} r_{2} r_{3} r_{5}^2 + r_{1}^2 r_{4} r_{5}^2 + r_{1} r_{2} r_{4} r_{5}^2]s_{(52)}+[2 r_{1}^4 + 6 r_{1}^3 r_{2} + 6 r_{1}^2 r_{2}^2 + 2 r_{1} r_{2}^3 + 4 r_{1}^3 r_{3} + 8 r_{1}^2 r_{2} r_{3} + 4 r_{1} r_{2}^2 r_{3} + 2 r_{1}^2 r_{3}^2 + 2 r_{1} r_{2} r_{3}^2 + 6 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 6 r_{1} r_{2}^2 r_{4} + 6 r_{1}^2 r_{3} r_{4} + 6 r_{1} r_{2} r_{3} r_{4} + 4 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 3 r_{1}^3 r_{5} + 6 r_{1}^2 r_{2} r_{5} + 3 r_{1} r_{2}^2 r_{5} + 3 r_{1}^2 r_{3} r_{5} + 3 r_{1} r_{2} r_{3} r_{5} + 4 r_{1}^2 r_{4} r_{5} + 4 r_{1} r_{2} r_{4} r_{5} + r_{1}^2 r_{5}^2 + r_{1} r_{2} r_{5}^2]s_{(521)}+[4 r_{1}^4 + 12 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 4 r_{1} r_{2}^3 + 12 r_{1}^3 r_{3} + 24 r_{1}^2 r_{2} r_{3} + 12 r_{1} r_{2}^2 r_{3} + 12 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 4 r_{1} r_{3}^3 + 12 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 24 r_{1}^2 r_{3} r_{4} + 24 r_{1} r_{2} r_{3} r_{4} + 12 r_{1} r_{3}^2 r_{4} + 12 r_{1}^2 r_{4}^2 + 12 r_{1} r_{2} r_{4}^2 + 12 r_{1} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{1}^3 r_{5} + 8 r_{1}^2 r_{2} r_{5} + 4 r_{1} r_{2}^2 r_{5} + 8 r_{1}^2 r_{3} r_{5} + 8 r_{1} r_{2} r_{3} r_{5} + 4 r_{1} r_{3}^2 r_{5} + 8 r_{1}^2 r_{4} r_{5} + 8 r_{1} r_{2} r_{4} r_{5} + 8 r_{1} r_{3} r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + r_{1} r_{2} r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{1} r_{4} r_{5}^2]s_{(53)}+[4 r_{1}^3 + 8 r_{1}^2 r_{2} + 4 r_{1} r_{2}^2 + 8 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{1} r_{3}^2 + 8 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 8 r_{1} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{1}^2 r_{5} + 4 r_{1} r_{2} r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + r_{1} r_{5}^2]s_{(531)}+[2 r_{1}^2 + 2 r_{1} r_{2} + 2 r_{1} r_{3} + 2 r_{1} r_{4} + r_{1} r_{5}]s_{(532)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 8 r_{1} r_{3} r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 8 r_{1} r_{4} r_{5} + 8 r_{2} r_{4} r_{5} + 8 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(54)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(541)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(542)}$


$s_{(521)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 6 r_{1}^4 r_{3} + 18 r_{1}^3 r_{2} r_{3} + 18 r_{1}^2 r_{2}^2 r_{3} + 6 r_{1} r_{2}^3 r_{3} + 6 r_{1}^3 r_{3}^2 + 12 r_{1}^2 r_{2} r_{3}^2 + 6 r_{1} r_{2}^2 r_{3}^2 + 2 r_{1}^2 r_{3}^3 + 2 r_{1} r_{2} r_{3}^3 + 8 r_{1}^4 r_{4} + 24 r_{1}^3 r_{2} r_{4} + 24 r_{1}^2 r_{2}^2 r_{4} + 8 r_{1} r_{2}^3 r_{4} + 16 r_{1}^3 r_{3} r_{4} + 32 r_{1}^2 r_{2} r_{3} r_{4} + 16 r_{1} r_{2}^2 r_{3} r_{4} + 8 r_{1}^2 r_{3}^2 r_{4} + 8 r_{1} r_{2} r_{3}^2 r_{4} + 10 r_{1}^3 r_{4}^2 + 20 r_{1}^2 r_{2} r_{4}^2 + 10 r_{1} r_{2}^2 r_{4}^2 + 10 r_{1}^2 r_{3} r_{4}^2 + 10 r_{1} r_{2} r_{3} r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 4 r_{1} r_{2} r_{4}^3 + 5 r_{1}^4 r_{5} + 15 r_{1}^3 r_{2} r_{5} + 15 r_{1}^2 r_{2}^2 r_{5} + 5 r_{1} r_{2}^3 r_{5} + 10 r_{1}^3 r_{3} r_{5} + 20 r_{1}^2 r_{2} r_{3} r_{5} + 10 r_{1} r_{2}^2 r_{3} r_{5} + 5 r_{1}^2 r_{3}^2 r_{5} + 5 r_{1} r_{2} r_{3}^2 r_{5} + 13 r_{1}^3 r_{4} r_{5} + 26 r_{1}^2 r_{2} r_{4} r_{5} + 13 r_{1} r_{2}^2 r_{4} r_{5} + 13 r_{1}^2 r_{3} r_{4} r_{5} + 13 r_{1} r_{2} r_{3} r_{4} r_{5} + 8 r_{1}^2 r_{4}^2 r_{5} + 8 r_{1} r_{2} r_{4}^2 r_{5} + 4 r_{1}^3 r_{5}^2 + 8 r_{1}^2 r_{2} r_{5}^2 + 4 r_{1} r_{2}^2 r_{5}^2 + 4 r_{1}^2 r_{3} r_{5}^2 + 4 r_{1} r_{2} r_{3} r_{5}^2 + 5 r_{1}^2 r_{4} r_{5}^2 + 5 r_{1} r_{2} r_{4} r_{5}^2 + r_{1}^2 r_{5}^3 + r_{1} r_{2} r_{5}^3]s_{(521)}+[4 r_{1}^4 + 12 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 4 r_{1} r_{2}^3 + 12 r_{1}^3 r_{3} + 24 r_{1}^2 r_{2} r_{3} + 12 r_{1} r_{2}^2 r_{3} + 12 r_{1}^2 r_{3}^2 + 12 r_{1} r_{2} r_{3}^2 + 4 r_{1} r_{3}^3 + 12 r_{1}^3 r_{4} + 24 r_{1}^2 r_{2} r_{4} + 12 r_{1} r_{2}^2 r_{4} + 24 r_{1}^2 r_{3} r_{4} + 24 r_{1} r_{2} r_{3} r_{4} + 12 r_{1} r_{3}^2 r_{4} + 12 r_{1}^2 r_{4}^2 + 12 r_{1} r_{2} r_{4}^2 + 12 r_{1} r_{3} r_{4}^2 + 4 r_{1} r_{4}^3 + 8 r_{1}^3 r_{5} + 16 r_{1}^2 r_{2} r_{5} + 8 r_{1} r_{2}^2 r_{5} + 16 r_{1}^2 r_{3} r_{5} + 16 r_{1} r_{2} r_{3} r_{5} + 8 r_{1} r_{3}^2 r_{5} + 16 r_{1}^2 r_{4} r_{5} + 16 r_{1} r_{2} r_{4} r_{5} + 16 r_{1} r_{3} r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 5 r_{1}^2 r_{5}^2 + 5 r_{1} r_{2} r_{5}^2 + 5 r_{1} r_{3} r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + r_{1} r_{5}^3]s_{(531)}+[4 r_{1}^3 + 8 r_{1}^2 r_{2} + 4 r_{1} r_{2}^2 + 8 r_{1}^2 r_{3} + 8 r_{1} r_{2} r_{3} + 4 r_{1} r_{3}^2 + 8 r_{1}^2 r_{4} + 8 r_{1} r_{2} r_{4} + 8 r_{1} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{1}^2 r_{5} + 4 r_{1} r_{2} r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + r_{1} r_{5}^2]s_{(532)}+[2 r_{1}^2 + 2 r_{1} r_{2} + 2 r_{1} r_{3} + 2 r_{1} r_{4} + r_{1} r_{5}]s_{(5321)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 16 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(541)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(542)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5421)}$


$s_{(53)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 10 r_{1}^4 r_{3} + 30 r_{1}^3 r_{2} r_{3} + 30 r_{1}^2 r_{2}^2 r_{3} + 10 r_{1} r_{2}^3 r_{3} + 18 r_{1}^3 r_{3}^2 + 36 r_{1}^2 r_{2} r_{3}^2 + 18 r_{1} r_{2}^2 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 14 r_{1} r_{2} r_{3}^3 + 4 r_{1} r_{3}^4 + 8 r_{1}^4 r_{4} + 24 r_{1}^3 r_{2} r_{4} + 24 r_{1}^2 r_{2}^2 r_{4} + 8 r_{1} r_{2}^3 r_{4} + 28 r_{1}^3 r_{3} r_{4} + 56 r_{1}^2 r_{2} r_{3} r_{4} + 28 r_{1} r_{2}^2 r_{3} r_{4} + 32 r_{1}^2 r_{3}^2 r_{4} + 32 r_{1} r_{2} r_{3}^2 r_{4} + 12 r_{1} r_{3}^3 r_{4} + 10 r_{1}^3 r_{4}^2 + 20 r_{1}^2 r_{2} r_{4}^2 + 10 r_{1} r_{2}^2 r_{4}^2 + 22 r_{1}^2 r_{3} r_{4}^2 + 22 r_{1} r_{2} r_{3} r_{4}^2 + 12 r_{1} r_{3}^2 r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 4 r_{1} r_{2} r_{4}^3 + 4 r_{1} r_{3} r_{4}^3 + 3 r_{1}^4 r_{5} + 9 r_{1}^3 r_{2} r_{5} + 9 r_{1}^2 r_{2}^2 r_{5} + 3 r_{1} r_{2}^3 r_{5} + 10 r_{1}^3 r_{3} r_{5} + 20 r_{1}^2 r_{2} r_{3} r_{5} + 10 r_{1} r_{2}^2 r_{3} r_{5} + 11 r_{1}^2 r_{3}^2 r_{5} + 11 r_{1} r_{2} r_{3}^2 r_{5} + 4 r_{1} r_{3}^3 r_{5} + 7 r_{1}^3 r_{4} r_{5} + 14 r_{1}^2 r_{2} r_{4} r_{5} + 7 r_{1} r_{2}^2 r_{4} r_{5} + 15 r_{1}^2 r_{3} r_{4} r_{5} + 15 r_{1} r_{2} r_{3} r_{4} r_{5} + 8 r_{1} r_{3}^2 r_{4} r_{5} + 4 r_{1}^2 r_{4}^2 r_{5} + 4 r_{1} r_{2} r_{4}^2 r_{5} + 4 r_{1} r_{3} r_{4}^2 r_{5} + r_{1}^3 r_{5}^2 + 2 r_{1}^2 r_{2} r_{5}^2 + r_{1} r_{2}^2 r_{5}^2 + 2 r_{1}^2 r_{3} r_{5}^2 + 2 r_{1} r_{2} r_{3} r_{5}^2 + r_{1} r_{3}^2 r_{5}^2 + r_{1}^2 r_{4} r_{5}^2 + r_{1} r_{2} r_{4} r_{5}^2 + r_{1} r_{3} r_{4} r_{5}^2]s_{(53)}+[2 r_{1}^4 + 6 r_{1}^3 r_{2} + 6 r_{1}^2 r_{2}^2 + 2 r_{1} r_{2}^3 + 8 r_{1}^3 r_{3} + 16 r_{1}^2 r_{2} r_{3} + 8 r_{1} r_{2}^2 r_{3} + 10 r_{1}^2 r_{3}^2 + 10 r_{1} r_{2} r_{3}^2 + 4 r_{1} r_{3}^3 + 6 r_{1}^3 r_{4} + 12 r_{1}^2 r_{2} r_{4} + 6 r_{1} r_{2}^2 r_{4} + 14 r_{1}^2 r_{3} r_{4} + 14 r_{1} r_{2} r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 4 r_{1}^2 r_{4}^2 + 4 r_{1} r_{2} r_{4}^2 + 4 r_{1} r_{3} r_{4}^2 + 3 r_{1}^3 r_{5} + 6 r_{1}^2 r_{2} r_{5} + 3 r_{1} r_{2}^2 r_{5} + 7 r_{1}^2 r_{3} r_{5} + 7 r_{1} r_{2} r_{3} r_{5} + 4 r_{1} r_{3}^2 r_{5} + 4 r_{1}^2 r_{4} r_{5} + 4 r_{1} r_{2} r_{4} r_{5} + 4 r_{1} r_{3} r_{4} r_{5} + r_{1}^2 r_{5}^2 + r_{1} r_{2} r_{5}^2 + r_{1} r_{3} r_{5}^2]s_{(531)}+[2 r_{1}^3 + 4 r_{1}^2 r_{2} + 2 r_{1} r_{2}^2 + 6 r_{1}^2 r_{3} + 6 r_{1} r_{2} r_{3} + 4 r_{1} r_{3}^2 + 6 r_{1}^2 r_{4} + 6 r_{1} r_{2} r_{4} + 8 r_{1} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 3 r_{1}^2 r_{5} + 3 r_{1} r_{2} r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + r_{1} r_{5}^2]s_{(532)}+[4 r_{1}^4 + 16 r_{1}^3 r_{2} + 24 r_{1}^2 r_{2}^2 + 16 r_{1} r_{2}^3 + 4 r_{2}^4 + 16 r_{1}^3 r_{3} + 48 r_{1}^2 r_{2} r_{3} + 48 r_{1} r_{2}^2 r_{3} + 16 r_{2}^3 r_{3} + 24 r_{1}^2 r_{3}^2 + 48 r_{1} r_{2} r_{3}^2 + 24 r_{2}^2 r_{3}^2 + 16 r_{1} r_{3}^3 + 16 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 36 r_{1}^2 r_{3} r_{4} + 72 r_{1} r_{2} r_{3} r_{4} + 36 r_{2}^2 r_{3} r_{4} + 36 r_{1} r_{3}^2 r_{4} + 36 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 12 r_{1}^2 r_{4}^2 + 24 r_{1} r_{2} r_{4}^2 + 12 r_{2}^2 r_{4}^2 + 24 r_{1} r_{3} r_{4}^2 + 24 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 4 r_{1}^3 r_{5} + 12 r_{1}^2 r_{2} r_{5} + 12 r_{1} r_{2}^2 r_{5} + 4 r_{2}^3 r_{5} + 12 r_{1}^2 r_{3} r_{5} + 24 r_{1} r_{2} r_{3} r_{5} + 12 r_{2}^2 r_{3} r_{5} + 12 r_{1} r_{3}^2 r_{5} + 12 r_{2} r_{3}^2 r_{5} + 4 r_{3}^3 r_{5} + 8 r_{1}^2 r_{4} r_{5} + 16 r_{1} r_{2} r_{4} r_{5} + 8 r_{2}^2 r_{4} r_{5} + 16 r_{1} r_{3} r_{4} r_{5} + 16 r_{2} r_{3} r_{4} r_{5} + 8 r_{3}^2 r_{4} r_{5} + 4 r_{1} r_{4}^2 r_{5} + 4 r_{2} r_{4}^2 r_{5} + 4 r_{3} r_{4}^2 r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + 2 r_{1} r_{3} r_{5}^2 + 2 r_{2} r_{3} r_{5}^2 + r_{3}^2 r_{5}^2 + r_{1} r_{4} r_{5}^2 + r_{2} r_{4} r_{5}^2 + r_{3} r_{4} r_{5}^2]s_{(54)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 8 r_{1}^2 r_{4} + 16 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 16 r_{1} r_{3} r_{4} + 16 r_{2} r_{3} r_{4} + 8 r_{3}^2 r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 4 r_{3} r_{4}^2 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 8 r_{1} r_{3} r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + 4 r_{3} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2]s_{(541)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(542)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(543)}$


$s_{(531)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 10 r_{1}^4 r_{3} + 30 r_{1}^3 r_{2} r_{3} + 30 r_{1}^2 r_{2}^2 r_{3} + 10 r_{1} r_{2}^3 r_{3} + 18 r_{1}^3 r_{3}^2 + 36 r_{1}^2 r_{2} r_{3}^2 + 18 r_{1} r_{2}^2 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 14 r_{1} r_{2} r_{3}^3 + 4 r_{1} r_{3}^4 + 8 r_{1}^4 r_{4} + 24 r_{1}^3 r_{2} r_{4} + 24 r_{1}^2 r_{2}^2 r_{4} + 8 r_{1} r_{2}^3 r_{4} + 28 r_{1}^3 r_{3} r_{4} + 56 r_{1}^2 r_{2} r_{3} r_{4} + 28 r_{1} r_{2}^2 r_{3} r_{4} + 32 r_{1}^2 r_{3}^2 r_{4} + 32 r_{1} r_{2} r_{3}^2 r_{4} + 12 r_{1} r_{3}^3 r_{4} + 10 r_{1}^3 r_{4}^2 + 20 r_{1}^2 r_{2} r_{4}^2 + 10 r_{1} r_{2}^2 r_{4}^2 + 22 r_{1}^2 r_{3} r_{4}^2 + 22 r_{1} r_{2} r_{3} r_{4}^2 + 12 r_{1} r_{3}^2 r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 4 r_{1} r_{2} r_{4}^3 + 4 r_{1} r_{3} r_{4}^3 + 5 r_{1}^4 r_{5} + 15 r_{1}^3 r_{2} r_{5} + 15 r_{1}^2 r_{2}^2 r_{5} + 5 r_{1} r_{2}^3 r_{5} + 18 r_{1}^3 r_{3} r_{5} + 36 r_{1}^2 r_{2} r_{3} r_{5} + 18 r_{1} r_{2}^2 r_{3} r_{5} + 21 r_{1}^2 r_{3}^2 r_{5} + 21 r_{1} r_{2} r_{3}^2 r_{5} + 8 r_{1} r_{3}^3 r_{5} + 13 r_{1}^3 r_{4} r_{5} + 26 r_{1}^2 r_{2} r_{4} r_{5} + 13 r_{1} r_{2}^2 r_{4} r_{5} + 29 r_{1}^2 r_{3} r_{4} r_{5} + 29 r_{1} r_{2} r_{3} r_{4} r_{5} + 16 r_{1} r_{3}^2 r_{4} r_{5} + 8 r_{1}^2 r_{4}^2 r_{5} + 8 r_{1} r_{2} r_{4}^2 r_{5} + 8 r_{1} r_{3} r_{4}^2 r_{5} + 4 r_{1}^3 r_{5}^2 + 8 r_{1}^2 r_{2} r_{5}^2 + 4 r_{1} r_{2}^2 r_{5}^2 + 9 r_{1}^2 r_{3} r_{5}^2 + 9 r_{1} r_{2} r_{3} r_{5}^2 + 5 r_{1} r_{3}^2 r_{5}^2 + 5 r_{1}^2 r_{4} r_{5}^2 + 5 r_{1} r_{2} r_{4} r_{5}^2 + 5 r_{1} r_{3} r_{4} r_{5}^2 + r_{1}^2 r_{5}^3 + r_{1} r_{2} r_{5}^3 + r_{1} r_{3} r_{5}^3]s_{(531)}+[4 r_{1}^4 + 12 r_{1}^3 r_{2} + 12 r_{1}^2 r_{2}^2 + 4 r_{1} r_{2}^3 + 16 r_{1}^3 r_{3} + 32 r_{1}^2 r_{2} r_{3} + 16 r_{1} r_{2}^2 r_{3} + 20 r_{1}^2 r_{3}^2 + 20 r_{1} r_{2} r_{3}^2 + 8 r_{1} r_{3}^3 + 16 r_{1}^3 r_{4} + 32 r_{1}^2 r_{2} r_{4} + 16 r_{1} r_{2}^2 r_{4} + 40 r_{1}^2 r_{3} r_{4} + 40 r_{1} r_{2} r_{3} r_{4} + 24 r_{1} r_{3}^2 r_{4} + 20 r_{1}^2 r_{4}^2 + 20 r_{1} r_{2} r_{4}^2 + 24 r_{1} r_{3} r_{4}^2 + 8 r_{1} r_{4}^3 + 8 r_{1}^3 r_{5} + 16 r_{1}^2 r_{2} r_{5} + 8 r_{1} r_{2}^2 r_{5} + 20 r_{1}^2 r_{3} r_{5} + 20 r_{1} r_{2} r_{3} r_{5} + 12 r_{1} r_{3}^2 r_{5} + 20 r_{1}^2 r_{4} r_{5} + 20 r_{1} r_{2} r_{4} r_{5} + 24 r_{1} r_{3} r_{4} r_{5} + 12 r_{1} r_{4}^2 r_{5} + 5 r_{1}^2 r_{5}^2 + 5 r_{1} r_{2} r_{5}^2 + 6 r_{1} r_{3} r_{5}^2 + 6 r_{1} r_{4} r_{5}^2 + r_{1} r_{5}^3]s_{(532)}+[2 r_{1}^3 + 4 r_{1}^2 r_{2} + 2 r_{1} r_{2}^2 + 6 r_{1}^2 r_{3} + 6 r_{1} r_{2} r_{3} + 4 r_{1} r_{3}^2 + 6 r_{1}^2 r_{4} + 6 r_{1} r_{2} r_{4} + 8 r_{1} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 3 r_{1}^2 r_{5} + 3 r_{1} r_{2} r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + r_{1} r_{5}^2]s_{(5321)}+[4 r_{1}^4 + 16 r_{1}^3 r_{2} + 24 r_{1}^2 r_{2}^2 + 16 r_{1} r_{2}^3 + 4 r_{2}^4 + 16 r_{1}^3 r_{3} + 48 r_{1}^2 r_{2} r_{3} + 48 r_{1} r_{2}^2 r_{3} + 16 r_{2}^3 r_{3} + 24 r_{1}^2 r_{3}^2 + 48 r_{1} r_{2} r_{3}^2 + 24 r_{2}^2 r_{3}^2 + 16 r_{1} r_{3}^3 + 16 r_{2} r_{3}^3 + 4 r_{3}^4 + 12 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 36 r_{1} r_{2}^2 r_{4} + 12 r_{2}^3 r_{4} + 36 r_{1}^2 r_{3} r_{4} + 72 r_{1} r_{2} r_{3} r_{4} + 36 r_{2}^2 r_{3} r_{4} + 36 r_{1} r_{3}^2 r_{4} + 36 r_{2} r_{3}^2 r_{4} + 12 r_{3}^3 r_{4} + 12 r_{1}^2 r_{4}^2 + 24 r_{1} r_{2} r_{4}^2 + 12 r_{2}^2 r_{4}^2 + 24 r_{1} r_{3} r_{4}^2 + 24 r_{2} r_{3} r_{4}^2 + 12 r_{3}^2 r_{4}^2 + 4 r_{1} r_{4}^3 + 4 r_{2} r_{4}^3 + 4 r_{3} r_{4}^3 + 8 r_{1}^3 r_{5} + 24 r_{1}^2 r_{2} r_{5} + 24 r_{1} r_{2}^2 r_{5} + 8 r_{2}^3 r_{5} + 24 r_{1}^2 r_{3} r_{5} + 48 r_{1} r_{2} r_{3} r_{5} + 24 r_{2}^2 r_{3} r_{5} + 24 r_{1} r_{3}^2 r_{5} + 24 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 16 r_{1}^2 r_{4} r_{5} + 32 r_{1} r_{2} r_{4} r_{5} + 16 r_{2}^2 r_{4} r_{5} + 32 r_{1} r_{3} r_{4} r_{5} + 32 r_{2} r_{3} r_{4} r_{5} + 16 r_{3}^2 r_{4} r_{5} + 8 r_{1} r_{4}^2 r_{5} + 8 r_{2} r_{4}^2 r_{5} + 8 r_{3} r_{4}^2 r_{5} + 5 r_{1}^2 r_{5}^2 + 10 r_{1} r_{2} r_{5}^2 + 5 r_{2}^2 r_{5}^2 + 10 r_{1} r_{3} r_{5}^2 + 10 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 5 r_{1} r_{4} r_{5}^2 + 5 r_{2} r_{4} r_{5}^2 + 5 r_{3} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(541)}+[8 r_{1}^3 + 24 r_{1}^2 r_{2} + 24 r_{1} r_{2}^2 + 8 r_{2}^3 + 24 r_{1}^2 r_{3} + 48 r_{1} r_{2} r_{3} + 24 r_{2}^2 r_{3} + 24 r_{1} r_{3}^2 + 24 r_{2} r_{3}^2 + 8 r_{3}^3 + 24 r_{1}^2 r_{4} + 48 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 48 r_{1} r_{3} r_{4} + 48 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 24 r_{1} r_{4}^2 + 24 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 12 r_{1}^2 r_{5} + 24 r_{1} r_{2} r_{5} + 12 r_{2}^2 r_{5} + 24 r_{1} r_{3} r_{5} + 24 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 24 r_{1} r_{4} r_{5} + 24 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 6 r_{1} r_{5}^2 + 6 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(542)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5421)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(543)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5431)}$


$s_{(532)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 10 r_{1}^4 r_{3} + 30 r_{1}^3 r_{2} r_{3} + 30 r_{1}^2 r_{2}^2 r_{3} + 10 r_{1} r_{2}^3 r_{3} + 18 r_{1}^3 r_{3}^2 + 36 r_{1}^2 r_{2} r_{3}^2 + 18 r_{1} r_{2}^2 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 14 r_{1} r_{2} r_{3}^3 + 4 r_{1} r_{3}^4 + 12 r_{1}^4 r_{4} + 36 r_{1}^3 r_{2} r_{4} + 36 r_{1}^2 r_{2}^2 r_{4} + 12 r_{1} r_{2}^3 r_{4} + 44 r_{1}^3 r_{3} r_{4} + 88 r_{1}^2 r_{2} r_{3} r_{4} + 44 r_{1} r_{2}^2 r_{3} r_{4} + 52 r_{1}^2 r_{3}^2 r_{4} + 52 r_{1} r_{2} r_{3}^2 r_{4} + 20 r_{1} r_{3}^3 r_{4} + 26 r_{1}^3 r_{4}^2 + 52 r_{1}^2 r_{2} r_{4}^2 + 26 r_{1} r_{2}^2 r_{4}^2 + 62 r_{1}^2 r_{3} r_{4}^2 + 62 r_{1} r_{2} r_{3} r_{4}^2 + 36 r_{1} r_{3}^2 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 24 r_{1} r_{2} r_{4}^3 + 28 r_{1} r_{3} r_{4}^3 + 8 r_{1} r_{4}^4 + 5 r_{1}^4 r_{5} + 15 r_{1}^3 r_{2} r_{5} + 15 r_{1}^2 r_{2}^2 r_{5} + 5 r_{1} r_{2}^3 r_{5} + 18 r_{1}^3 r_{3} r_{5} + 36 r_{1}^2 r_{2} r_{3} r_{5} + 18 r_{1} r_{2}^2 r_{3} r_{5} + 21 r_{1}^2 r_{3}^2 r_{5} + 21 r_{1} r_{2} r_{3}^2 r_{5} + 8 r_{1} r_{3}^3 r_{5} + 21 r_{1}^3 r_{4} r_{5} + 42 r_{1}^2 r_{2} r_{4} r_{5} + 21 r_{1} r_{2}^2 r_{4} r_{5} + 49 r_{1}^2 r_{3} r_{4} r_{5} + 49 r_{1} r_{2} r_{3} r_{4} r_{5} + 28 r_{1} r_{3}^2 r_{4} r_{5} + 28 r_{1}^2 r_{4}^2 r_{5} + 28 r_{1} r_{2} r_{4}^2 r_{5} + 32 r_{1} r_{3} r_{4}^2 r_{5} + 12 r_{1} r_{4}^3 r_{5} + 4 r_{1}^3 r_{5}^2 + 8 r_{1}^2 r_{2} r_{5}^2 + 4 r_{1} r_{2}^2 r_{5}^2 + 9 r_{1}^2 r_{3} r_{5}^2 + 9 r_{1} r_{2} r_{3} r_{5}^2 + 5 r_{1} r_{3}^2 r_{5}^2 + 10 r_{1}^2 r_{4} r_{5}^2 + 10 r_{1} r_{2} r_{4} r_{5}^2 + 11 r_{1} r_{3} r_{4} r_{5}^2 + 6 r_{1} r_{4}^2 r_{5}^2 + r_{1}^2 r_{5}^3 + r_{1} r_{2} r_{5}^3 + r_{1} r_{3} r_{5}^3 + r_{1} r_{4} r_{5}^3]s_{(532)}+[2 r_{1}^4 + 6 r_{1}^3 r_{2} + 6 r_{1}^2 r_{2}^2 + 2 r_{1} r_{2}^3 + 8 r_{1}^3 r_{3} + 16 r_{1}^2 r_{2} r_{3} + 8 r_{1} r_{2}^2 r_{3} + 10 r_{1}^2 r_{3}^2 + 10 r_{1} r_{2} r_{3}^2 + 4 r_{1} r_{3}^3 + 10 r_{1}^3 r_{4} + 20 r_{1}^2 r_{2} r_{4} + 10 r_{1} r_{2}^2 r_{4} + 26 r_{1}^2 r_{3} r_{4} + 26 r_{1} r_{2} r_{3} r_{4} + 16 r_{1} r_{3}^2 r_{4} + 16 r_{1}^2 r_{4}^2 + 16 r_{1} r_{2} r_{4}^2 + 20 r_{1} r_{3} r_{4}^2 + 8 r_{1} r_{4}^3 + 5 r_{1}^3 r_{5} + 10 r_{1}^2 r_{2} r_{5} + 5 r_{1} r_{2}^2 r_{5} + 13 r_{1}^2 r_{3} r_{5} + 13 r_{1} r_{2} r_{3} r_{5} + 8 r_{1} r_{3}^2 r_{5} + 16 r_{1}^2 r_{4} r_{5} + 16 r_{1} r_{2} r_{4} r_{5} + 20 r_{1} r_{3} r_{4} r_{5} + 12 r_{1} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 4 r_{1} r_{2} r_{5}^2 + 5 r_{1} r_{3} r_{5}^2 + 6 r_{1} r_{4} r_{5}^2 + r_{1} r_{5}^3]s_{(5321)}+[4 r_{1}^4 + 16 r_{1}^3 r_{2} + 24 r_{1}^2 r_{2}^2 + 16 r_{1} r_{2}^3 + 4 r_{2}^4 + 16 r_{1}^3 r_{3} + 48 r_{1}^2 r_{2} r_{3} + 48 r_{1} r_{2}^2 r_{3} + 16 r_{2}^3 r_{3} + 24 r_{1}^2 r_{3}^2 + 48 r_{1} r_{2} r_{3}^2 + 24 r_{2}^2 r_{3}^2 + 16 r_{1} r_{3}^3 + 16 r_{2} r_{3}^3 + 4 r_{3}^4 + 20 r_{1}^3 r_{4} + 60 r_{1}^2 r_{2} r_{4} + 60 r_{1} r_{2}^2 r_{4} + 20 r_{2}^3 r_{4} + 60 r_{1}^2 r_{3} r_{4} + 120 r_{1} r_{2} r_{3} r_{4} + 60 r_{2}^2 r_{3} r_{4} + 60 r_{1} r_{3}^2 r_{4} + 60 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 36 r_{1}^2 r_{4}^2 + 72 r_{1} r_{2} r_{4}^2 + 36 r_{2}^2 r_{4}^2 + 72 r_{1} r_{3} r_{4}^2 + 72 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 28 r_{1} r_{4}^3 + 28 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 8 r_{1}^3 r_{5} + 24 r_{1}^2 r_{2} r_{5} + 24 r_{1} r_{2}^2 r_{5} + 8 r_{2}^3 r_{5} + 24 r_{1}^2 r_{3} r_{5} + 48 r_{1} r_{2} r_{3} r_{5} + 24 r_{2}^2 r_{3} r_{5} + 24 r_{1} r_{3}^2 r_{5} + 24 r_{2} r_{3}^2 r_{5} + 8 r_{3}^3 r_{5} + 28 r_{1}^2 r_{4} r_{5} + 56 r_{1} r_{2} r_{4} r_{5} + 28 r_{2}^2 r_{4} r_{5} + 56 r_{1} r_{3} r_{4} r_{5} + 56 r_{2} r_{3} r_{4} r_{5} + 28 r_{3}^2 r_{4} r_{5} + 32 r_{1} r_{4}^2 r_{5} + 32 r_{2} r_{4}^2 r_{5} + 32 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 5 r_{1}^2 r_{5}^2 + 10 r_{1} r_{2} r_{5}^2 + 5 r_{2}^2 r_{5}^2 + 10 r_{1} r_{3} r_{5}^2 + 10 r_{2} r_{3} r_{5}^2 + 5 r_{3}^2 r_{5}^2 + 11 r_{1} r_{4} r_{5}^2 + 11 r_{2} r_{4} r_{5}^2 + 11 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(542)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 16 r_{1}^2 r_{4} + 32 r_{1} r_{2} r_{4} + 16 r_{2}^2 r_{4} + 32 r_{1} r_{3} r_{4} + 32 r_{2} r_{3} r_{4} + 16 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 20 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 20 r_{2} r_{4} r_{5} + 20 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5421)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 4 r_{1}^2 r_{5} + 8 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 8 r_{1} r_{3} r_{5} + 8 r_{2} r_{3} r_{5} + 4 r_{3}^2 r_{5} + 8 r_{1} r_{4} r_{5} + 8 r_{2} r_{4} r_{5} + 8 r_{3} r_{4} r_{5} + 4 r_{4}^2 r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2 + r_{3} r_{5}^2 + r_{4} r_{5}^2]s_{(543)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5431)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(5432)}$


$s_{(5321)}\cdot s_{(5)}=[2 r_{1}^5 + 8 r_{1}^4 r_{2} + 12 r_{1}^3 r_{2}^2 + 8 r_{1}^2 r_{2}^3 + 2 r_{1} r_{2}^4 + 10 r_{1}^4 r_{3} + 30 r_{1}^3 r_{2} r_{3} + 30 r_{1}^2 r_{2}^2 r_{3} + 10 r_{1} r_{2}^3 r_{3} + 18 r_{1}^3 r_{3}^2 + 36 r_{1}^2 r_{2} r_{3}^2 + 18 r_{1} r_{2}^2 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 14 r_{1} r_{2} r_{3}^3 + 4 r_{1} r_{3}^4 + 12 r_{1}^4 r_{4} + 36 r_{1}^3 r_{2} r_{4} + 36 r_{1}^2 r_{2}^2 r_{4} + 12 r_{1} r_{2}^3 r_{4} + 44 r_{1}^3 r_{3} r_{4} + 88 r_{1}^2 r_{2} r_{3} r_{4} + 44 r_{1} r_{2}^2 r_{3} r_{4} + 52 r_{1}^2 r_{3}^2 r_{4} + 52 r_{1} r_{2} r_{3}^2 r_{4} + 20 r_{1} r_{3}^3 r_{4} + 26 r_{1}^3 r_{4}^2 + 52 r_{1}^2 r_{2} r_{4}^2 + 26 r_{1} r_{2}^2 r_{4}^2 + 62 r_{1}^2 r_{3} r_{4}^2 + 62 r_{1} r_{2} r_{3} r_{4}^2 + 36 r_{1} r_{3}^2 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 24 r_{1} r_{2} r_{4}^3 + 28 r_{1} r_{3} r_{4}^3 + 8 r_{1} r_{4}^4 + 7 r_{1}^4 r_{5} + 21 r_{1}^3 r_{2} r_{5} + 21 r_{1}^2 r_{2}^2 r_{5} + 7 r_{1} r_{2}^3 r_{5} + 26 r_{1}^3 r_{3} r_{5} + 52 r_{1}^2 r_{2} r_{3} r_{5} + 26 r_{1} r_{2}^2 r_{3} r_{5} + 31 r_{1}^2 r_{3}^2 r_{5} + 31 r_{1} r_{2} r_{3}^2 r_{5} + 12 r_{1} r_{3}^3 r_{5} + 31 r_{1}^3 r_{4} r_{5} + 62 r_{1}^2 r_{2} r_{4} r_{5} + 31 r_{1} r_{2}^2 r_{4} r_{5} + 75 r_{1}^2 r_{3} r_{4} r_{5} + 75 r_{1} r_{2} r_{3} r_{4} r_{5} + 44 r_{1} r_{3}^2 r_{4} r_{5} + 44 r_{1}^2 r_{4}^2 r_{5} + 44 r_{1} r_{2} r_{4}^2 r_{5} + 52 r_{1} r_{3} r_{4}^2 r_{5} + 20 r_{1} r_{4}^3 r_{5} + 9 r_{1}^3 r_{5}^2 + 18 r_{1}^2 r_{2} r_{5}^2 + 9 r_{1} r_{2}^2 r_{5}^2 + 22 r_{1}^2 r_{3} r_{5}^2 + 22 r_{1} r_{2} r_{3} r_{5}^2 + 13 r_{1} r_{3}^2 r_{5}^2 + 26 r_{1}^2 r_{4} r_{5}^2 + 26 r_{1} r_{2} r_{4} r_{5}^2 + 31 r_{1} r_{3} r_{4} r_{5}^2 + 18 r_{1} r_{4}^2 r_{5}^2 + 5 r_{1}^2 r_{5}^3 + 5 r_{1} r_{2} r_{5}^3 + 6 r_{1} r_{3} r_{5}^3 + 7 r_{1} r_{4} r_{5}^3 + r_{1} r_{5}^4]s_{(5321)}+[4 r_{1}^4 + 16 r_{1}^3 r_{2} + 24 r_{1}^2 r_{2}^2 + 16 r_{1} r_{2}^3 + 4 r_{2}^4 + 16 r_{1}^3 r_{3} + 48 r_{1}^2 r_{2} r_{3} + 48 r_{1} r_{2}^2 r_{3} + 16 r_{2}^3 r_{3} + 24 r_{1}^2 r_{3}^2 + 48 r_{1} r_{2} r_{3}^2 + 24 r_{2}^2 r_{3}^2 + 16 r_{1} r_{3}^3 + 16 r_{2} r_{3}^3 + 4 r_{3}^4 + 20 r_{1}^3 r_{4} + 60 r_{1}^2 r_{2} r_{4} + 60 r_{1} r_{2}^2 r_{4} + 20 r_{2}^3 r_{4} + 60 r_{1}^2 r_{3} r_{4} + 120 r_{1} r_{2} r_{3} r_{4} + 60 r_{2}^2 r_{3} r_{4} + 60 r_{1} r_{3}^2 r_{4} + 60 r_{2} r_{3}^2 r_{4} + 20 r_{3}^3 r_{4} + 36 r_{1}^2 r_{4}^2 + 72 r_{1} r_{2} r_{4}^2 + 36 r_{2}^2 r_{4}^2 + 72 r_{1} r_{3} r_{4}^2 + 72 r_{2} r_{3} r_{4}^2 + 36 r_{3}^2 r_{4}^2 + 28 r_{1} r_{4}^3 + 28 r_{2} r_{4}^3 + 28 r_{3} r_{4}^3 + 8 r_{4}^4 + 12 r_{1}^3 r_{5} + 36 r_{1}^2 r_{2} r_{5} + 36 r_{1} r_{2}^2 r_{5} + 12 r_{2}^3 r_{5} + 36 r_{1}^2 r_{3} r_{5} + 72 r_{1} r_{2} r_{3} r_{5} + 36 r_{2}^2 r_{3} r_{5} + 36 r_{1} r_{3}^2 r_{5} + 36 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 44 r_{1}^2 r_{4} r_{5} + 88 r_{1} r_{2} r_{4} r_{5} + 44 r_{2}^2 r_{4} r_{5} + 88 r_{1} r_{3} r_{4} r_{5} + 88 r_{2} r_{3} r_{4} r_{5} + 44 r_{3}^2 r_{4} r_{5} + 52 r_{1} r_{4}^2 r_{5} + 52 r_{2} r_{4}^2 r_{5} + 52 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 13 r_{1}^2 r_{5}^2 + 26 r_{1} r_{2} r_{5}^2 + 13 r_{2}^2 r_{5}^2 + 26 r_{1} r_{3} r_{5}^2 + 26 r_{2} r_{3} r_{5}^2 + 13 r_{3}^2 r_{5}^2 + 31 r_{1} r_{4} r_{5}^2 + 31 r_{2} r_{4} r_{5}^2 + 31 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 6 r_{1} r_{5}^3 + 6 r_{2} r_{5}^3 + 6 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5421)}+[4 r_{1}^3 + 12 r_{1}^2 r_{2} + 12 r_{1} r_{2}^2 + 4 r_{2}^3 + 12 r_{1}^2 r_{3} + 24 r_{1} r_{2} r_{3} + 12 r_{2}^2 r_{3} + 12 r_{1} r_{3}^2 + 12 r_{2} r_{3}^2 + 4 r_{3}^3 + 12 r_{1}^2 r_{4} + 24 r_{1} r_{2} r_{4} + 12 r_{2}^2 r_{4} + 24 r_{1} r_{3} r_{4} + 24 r_{2} r_{3} r_{4} + 12 r_{3}^2 r_{4} + 12 r_{1} r_{4}^2 + 12 r_{2} r_{4}^2 + 12 r_{3} r_{4}^2 + 4 r_{4}^3 + 8 r_{1}^2 r_{5} + 16 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 16 r_{2} r_{3} r_{5} + 8 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 16 r_{2} r_{4} r_{5} + 16 r_{3} r_{4} r_{5} + 8 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 5 r_{3} r_{5}^2 + 5 r_{4} r_{5}^2 + r_{5}^3]s_{(5431)}+[4 r_{1}^2 + 8 r_{1} r_{2} + 4 r_{2}^2 + 8 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 8 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 4 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5432)}+[2 r_{1} + 2 r_{2} + 2 r_{3} + 2 r_{4} + r_{5}]s_{(54321)}$


$s_{(54)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 10 r_{1}^4 r_{3} + 46 r_{1}^3 r_{2} r_{3} + 78 r_{1}^2 r_{2}^2 r_{3} + 58 r_{1} r_{2}^3 r_{3} + 16 r_{2}^4 r_{3} + 18 r_{1}^3 r_{3}^2 + 60 r_{1}^2 r_{2} r_{3}^2 + 66 r_{1} r_{2}^2 r_{3}^2 + 24 r_{2}^3 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 30 r_{1} r_{2} r_{3}^3 + 16 r_{2}^2 r_{3}^3 + 4 r_{1} r_{3}^4 + 4 r_{2} r_{3}^4 + 8 r_{1}^4 r_{4} + 36 r_{1}^3 r_{2} r_{4} + 60 r_{1}^2 r_{2}^2 r_{4} + 44 r_{1} r_{2}^3 r_{4} + 12 r_{2}^4 r_{4} + 28 r_{1}^3 r_{3} r_{4} + 92 r_{1}^2 r_{2} r_{3} r_{4} + 100 r_{1} r_{2}^2 r_{3} r_{4} + 36 r_{2}^3 r_{3} r_{4} + 32 r_{1}^2 r_{3}^2 r_{4} + 68 r_{1} r_{2} r_{3}^2 r_{4} + 36 r_{2}^2 r_{3}^2 r_{4} + 12 r_{1} r_{3}^3 r_{4} + 12 r_{2} r_{3}^3 r_{4} + 10 r_{1}^3 r_{4}^2 + 32 r_{1}^2 r_{2} r_{4}^2 + 34 r_{1} r_{2}^2 r_{4}^2 + 12 r_{2}^3 r_{4}^2 + 22 r_{1}^2 r_{3} r_{4}^2 + 46 r_{1} r_{2} r_{3} r_{4}^2 + 24 r_{2}^2 r_{3} r_{4}^2 + 12 r_{1} r_{3}^2 r_{4}^2 + 12 r_{2} r_{3}^2 r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 8 r_{1} r_{2} r_{4}^3 + 4 r_{2}^2 r_{4}^3 + 4 r_{1} r_{3} r_{4}^3 + 4 r_{2} r_{3} r_{4}^3 + 3 r_{1}^4 r_{5} + 13 r_{1}^3 r_{2} r_{5} + 21 r_{1}^2 r_{2}^2 r_{5} + 15 r_{1} r_{2}^3 r_{5} + 4 r_{2}^4 r_{5} + 10 r_{1}^3 r_{3} r_{5} + 32 r_{1}^2 r_{2} r_{3} r_{5} + 34 r_{1} r_{2}^2 r_{3} r_{5} + 12 r_{2}^3 r_{3} r_{5} + 11 r_{1}^2 r_{3}^2 r_{5} + 23 r_{1} r_{2} r_{3}^2 r_{5} + 12 r_{2}^2 r_{3}^2 r_{5} + 4 r_{1} r_{3}^3 r_{5} + 4 r_{2} r_{3}^3 r_{5} + 7 r_{1}^3 r_{4} r_{5} + 22 r_{1}^2 r_{2} r_{4} r_{5} + 23 r_{1} r_{2}^2 r_{4} r_{5} + 8 r_{2}^3 r_{4} r_{5} + 15 r_{1}^2 r_{3} r_{4} r_{5} + 31 r_{1} r_{2} r_{3} r_{4} r_{5} + 16 r_{2}^2 r_{3} r_{4} r_{5} + 8 r_{1} r_{3}^2 r_{4} r_{5} + 8 r_{2} r_{3}^2 r_{4} r_{5} + 4 r_{1}^2 r_{4}^2 r_{5} + 8 r_{1} r_{2} r_{4}^2 r_{5} + 4 r_{2}^2 r_{4}^2 r_{5} + 4 r_{1} r_{3} r_{4}^2 r_{5} + 4 r_{2} r_{3} r_{4}^2 r_{5} + r_{1}^3 r_{5}^2 + 3 r_{1}^2 r_{2} r_{5}^2 + 3 r_{1} r_{2}^2 r_{5}^2 + r_{2}^3 r_{5}^2 + 2 r_{1}^2 r_{3} r_{5}^2 + 4 r_{1} r_{2} r_{3} r_{5}^2 + 2 r_{2}^2 r_{3} r_{5}^2 + r_{1} r_{3}^2 r_{5}^2 + r_{2} r_{3}^2 r_{5}^2 + r_{1}^2 r_{4} r_{5}^2 + 2 r_{1} r_{2} r_{4} r_{5}^2 + r_{2}^2 r_{4} r_{5}^2 + r_{1} r_{3} r_{4} r_{5}^2 + r_{2} r_{3} r_{4} r_{5}^2]s_{(54)}+[2 r_{1}^4 + 10 r_{1}^3 r_{2} + 18 r_{1}^2 r_{2}^2 + 14 r_{1} r_{2}^3 + 4 r_{2}^4 + 8 r_{1}^3 r_{3} + 28 r_{1}^2 r_{2} r_{3} + 32 r_{1} r_{2}^2 r_{3} + 12 r_{2}^3 r_{3} + 10 r_{1}^2 r_{3}^2 + 22 r_{1} r_{2} r_{3}^2 + 12 r_{2}^2 r_{3}^2 + 4 r_{1} r_{3}^3 + 4 r_{2} r_{3}^3 + 6 r_{1}^3 r_{4} + 20 r_{1}^2 r_{2} r_{4} + 22 r_{1} r_{2}^2 r_{4} + 8 r_{2}^3 r_{4} + 14 r_{1}^2 r_{3} r_{4} + 30 r_{1} r_{2} r_{3} r_{4} + 16 r_{2}^2 r_{3} r_{4} + 8 r_{1} r_{3}^2 r_{4} + 8 r_{2} r_{3}^2 r_{4} + 4 r_{1}^2 r_{4}^2 + 8 r_{1} r_{2} r_{4}^2 + 4 r_{2}^2 r_{4}^2 + 4 r_{1} r_{3} r_{4}^2 + 4 r_{2} r_{3} r_{4}^2 + 3 r_{1}^3 r_{5} + 10 r_{1}^2 r_{2} r_{5} + 11 r_{1} r_{2}^2 r_{5} + 4 r_{2}^3 r_{5} + 7 r_{1}^2 r_{3} r_{5} + 15 r_{1} r_{2} r_{3} r_{5} + 8 r_{2}^2 r_{3} r_{5} + 4 r_{1} r_{3}^2 r_{5} + 4 r_{2} r_{3}^2 r_{5} + 4 r_{1}^2 r_{4} r_{5} + 8 r_{1} r_{2} r_{4} r_{5} + 4 r_{2}^2 r_{4} r_{5} + 4 r_{1} r_{3} r_{4} r_{5} + 4 r_{2} r_{3} r_{4} r_{5} + r_{1}^2 r_{5}^2 + 2 r_{1} r_{2} r_{5}^2 + r_{2}^2 r_{5}^2 + r_{1} r_{3} r_{5}^2 + r_{2} r_{3} r_{5}^2]s_{(541)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 10 r_{1} r_{2}^2 + 4 r_{2}^3 + 6 r_{1}^2 r_{3} + 14 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 4 r_{1} r_{3}^2 + 4 r_{2} r_{3}^2 + 6 r_{1}^2 r_{4} + 14 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 3 r_{1}^2 r_{5} + 7 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(542)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 4 r_{2}^2 + 6 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(543)}$


$s_{(541)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 10 r_{1}^4 r_{3} + 46 r_{1}^3 r_{2} r_{3} + 78 r_{1}^2 r_{2}^2 r_{3} + 58 r_{1} r_{2}^3 r_{3} + 16 r_{2}^4 r_{3} + 18 r_{1}^3 r_{3}^2 + 60 r_{1}^2 r_{2} r_{3}^2 + 66 r_{1} r_{2}^2 r_{3}^2 + 24 r_{2}^3 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 30 r_{1} r_{2} r_{3}^3 + 16 r_{2}^2 r_{3}^3 + 4 r_{1} r_{3}^4 + 4 r_{2} r_{3}^4 + 8 r_{1}^4 r_{4} + 36 r_{1}^3 r_{2} r_{4} + 60 r_{1}^2 r_{2}^2 r_{4} + 44 r_{1} r_{2}^3 r_{4} + 12 r_{2}^4 r_{4} + 28 r_{1}^3 r_{3} r_{4} + 92 r_{1}^2 r_{2} r_{3} r_{4} + 100 r_{1} r_{2}^2 r_{3} r_{4} + 36 r_{2}^3 r_{3} r_{4} + 32 r_{1}^2 r_{3}^2 r_{4} + 68 r_{1} r_{2} r_{3}^2 r_{4} + 36 r_{2}^2 r_{3}^2 r_{4} + 12 r_{1} r_{3}^3 r_{4} + 12 r_{2} r_{3}^3 r_{4} + 10 r_{1}^3 r_{4}^2 + 32 r_{1}^2 r_{2} r_{4}^2 + 34 r_{1} r_{2}^2 r_{4}^2 + 12 r_{2}^3 r_{4}^2 + 22 r_{1}^2 r_{3} r_{4}^2 + 46 r_{1} r_{2} r_{3} r_{4}^2 + 24 r_{2}^2 r_{3} r_{4}^2 + 12 r_{1} r_{3}^2 r_{4}^2 + 12 r_{2} r_{3}^2 r_{4}^2 + 4 r_{1}^2 r_{4}^3 + 8 r_{1} r_{2} r_{4}^3 + 4 r_{2}^2 r_{4}^3 + 4 r_{1} r_{3} r_{4}^3 + 4 r_{2} r_{3} r_{4}^3 + 5 r_{1}^4 r_{5} + 23 r_{1}^3 r_{2} r_{5} + 39 r_{1}^2 r_{2}^2 r_{5} + 29 r_{1} r_{2}^3 r_{5} + 8 r_{2}^4 r_{5} + 18 r_{1}^3 r_{3} r_{5} + 60 r_{1}^2 r_{2} r_{3} r_{5} + 66 r_{1} r_{2}^2 r_{3} r_{5} + 24 r_{2}^3 r_{3} r_{5} + 21 r_{1}^2 r_{3}^2 r_{5} + 45 r_{1} r_{2} r_{3}^2 r_{5} + 24 r_{2}^2 r_{3}^2 r_{5} + 8 r_{1} r_{3}^3 r_{5} + 8 r_{2} r_{3}^3 r_{5} + 13 r_{1}^3 r_{4} r_{5} + 42 r_{1}^2 r_{2} r_{4} r_{5} + 45 r_{1} r_{2}^2 r_{4} r_{5} + 16 r_{2}^3 r_{4} r_{5} + 29 r_{1}^2 r_{3} r_{4} r_{5} + 61 r_{1} r_{2} r_{3} r_{4} r_{5} + 32 r_{2}^2 r_{3} r_{4} r_{5} + 16 r_{1} r_{3}^2 r_{4} r_{5} + 16 r_{2} r_{3}^2 r_{4} r_{5} + 8 r_{1}^2 r_{4}^2 r_{5} + 16 r_{1} r_{2} r_{4}^2 r_{5} + 8 r_{2}^2 r_{4}^2 r_{5} + 8 r_{1} r_{3} r_{4}^2 r_{5} + 8 r_{2} r_{3} r_{4}^2 r_{5} + 4 r_{1}^3 r_{5}^2 + 13 r_{1}^2 r_{2} r_{5}^2 + 14 r_{1} r_{2}^2 r_{5}^2 + 5 r_{2}^3 r_{5}^2 + 9 r_{1}^2 r_{3} r_{5}^2 + 19 r_{1} r_{2} r_{3} r_{5}^2 + 10 r_{2}^2 r_{3} r_{5}^2 + 5 r_{1} r_{3}^2 r_{5}^2 + 5 r_{2} r_{3}^2 r_{5}^2 + 5 r_{1}^2 r_{4} r_{5}^2 + 10 r_{1} r_{2} r_{4} r_{5}^2 + 5 r_{2}^2 r_{4} r_{5}^2 + 5 r_{1} r_{3} r_{4} r_{5}^2 + 5 r_{2} r_{3} r_{4} r_{5}^2 + r_{1}^2 r_{5}^3 + 2 r_{1} r_{2} r_{5}^3 + r_{2}^2 r_{5}^3 + r_{1} r_{3} r_{5}^3 + r_{2} r_{3} r_{5}^3]s_{(541)}+[4 r_{1}^4 + 20 r_{1}^3 r_{2} + 36 r_{1}^2 r_{2}^2 + 28 r_{1} r_{2}^3 + 8 r_{2}^4 + 16 r_{1}^3 r_{3} + 56 r_{1}^2 r_{2} r_{3} + 64 r_{1} r_{2}^2 r_{3} + 24 r_{2}^3 r_{3} + 20 r_{1}^2 r_{3}^2 + 44 r_{1} r_{2} r_{3}^2 + 24 r_{2}^2 r_{3}^2 + 8 r_{1} r_{3}^3 + 8 r_{2} r_{3}^3 + 16 r_{1}^3 r_{4} + 56 r_{1}^2 r_{2} r_{4} + 64 r_{1} r_{2}^2 r_{4} + 24 r_{2}^3 r_{4} + 40 r_{1}^2 r_{3} r_{4} + 88 r_{1} r_{2} r_{3} r_{4} + 48 r_{2}^2 r_{3} r_{4} + 24 r_{1} r_{3}^2 r_{4} + 24 r_{2} r_{3}^2 r_{4} + 20 r_{1}^2 r_{4}^2 + 44 r_{1} r_{2} r_{4}^2 + 24 r_{2}^2 r_{4}^2 + 24 r_{1} r_{3} r_{4}^2 + 24 r_{2} r_{3} r_{4}^2 + 8 r_{1} r_{4}^3 + 8 r_{2} r_{4}^3 + 8 r_{1}^3 r_{5} + 28 r_{1}^2 r_{2} r_{5} + 32 r_{1} r_{2}^2 r_{5} + 12 r_{2}^3 r_{5} + 20 r_{1}^2 r_{3} r_{5} + 44 r_{1} r_{2} r_{3} r_{5} + 24 r_{2}^2 r_{3} r_{5} + 12 r_{1} r_{3}^2 r_{5} + 12 r_{2} r_{3}^2 r_{5} + 20 r_{1}^2 r_{4} r_{5} + 44 r_{1} r_{2} r_{4} r_{5} + 24 r_{2}^2 r_{4} r_{5} + 24 r_{1} r_{3} r_{4} r_{5} + 24 r_{2} r_{3} r_{4} r_{5} + 12 r_{1} r_{4}^2 r_{5} + 12 r_{2} r_{4}^2 r_{5} + 5 r_{1}^2 r_{5}^2 + 11 r_{1} r_{2} r_{5}^2 + 6 r_{2}^2 r_{5}^2 + 6 r_{1} r_{3} r_{5}^2 + 6 r_{2} r_{3} r_{5}^2 + 6 r_{1} r_{4} r_{5}^2 + 6 r_{2} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3]s_{(542)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 10 r_{1} r_{2}^2 + 4 r_{2}^3 + 6 r_{1}^2 r_{3} + 14 r_{1} r_{2} r_{3} + 8 r_{2}^2 r_{3} + 4 r_{1} r_{3}^2 + 4 r_{2} r_{3}^2 + 6 r_{1}^2 r_{4} + 14 r_{1} r_{2} r_{4} + 8 r_{2}^2 r_{4} + 8 r_{1} r_{3} r_{4} + 8 r_{2} r_{3} r_{4} + 4 r_{1} r_{4}^2 + 4 r_{2} r_{4}^2 + 3 r_{1}^2 r_{5} + 7 r_{1} r_{2} r_{5} + 4 r_{2}^2 r_{5} + 4 r_{1} r_{3} r_{5} + 4 r_{2} r_{3} r_{5} + 4 r_{1} r_{4} r_{5} + 4 r_{2} r_{4} r_{5} + r_{1} r_{5}^2 + r_{2} r_{5}^2]s_{(5421)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 20 r_{1} r_{2}^2 + 8 r_{2}^3 + 16 r_{1}^2 r_{3} + 40 r_{1} r_{2} r_{3} + 24 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 24 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 40 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 48 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 24 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 20 r_{1} r_{2} r_{5} + 12 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 24 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 24 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 6 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(543)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 4 r_{2}^2 + 6 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5431)}$


$s_{(542)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 10 r_{1}^4 r_{3} + 46 r_{1}^3 r_{2} r_{3} + 78 r_{1}^2 r_{2}^2 r_{3} + 58 r_{1} r_{2}^3 r_{3} + 16 r_{2}^4 r_{3} + 18 r_{1}^3 r_{3}^2 + 60 r_{1}^2 r_{2} r_{3}^2 + 66 r_{1} r_{2}^2 r_{3}^2 + 24 r_{2}^3 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 30 r_{1} r_{2} r_{3}^3 + 16 r_{2}^2 r_{3}^3 + 4 r_{1} r_{3}^4 + 4 r_{2} r_{3}^4 + 12 r_{1}^4 r_{4} + 56 r_{1}^3 r_{2} r_{4} + 96 r_{1}^2 r_{2}^2 r_{4} + 72 r_{1} r_{2}^3 r_{4} + 20 r_{2}^4 r_{4} + 44 r_{1}^3 r_{3} r_{4} + 148 r_{1}^2 r_{2} r_{3} r_{4} + 164 r_{1} r_{2}^2 r_{3} r_{4} + 60 r_{2}^3 r_{3} r_{4} + 52 r_{1}^2 r_{3}^2 r_{4} + 112 r_{1} r_{2} r_{3}^2 r_{4} + 60 r_{2}^2 r_{3}^2 r_{4} + 20 r_{1} r_{3}^3 r_{4} + 20 r_{2} r_{3}^3 r_{4} + 26 r_{1}^3 r_{4}^2 + 88 r_{1}^2 r_{2} r_{4}^2 + 98 r_{1} r_{2}^2 r_{4}^2 + 36 r_{2}^3 r_{4}^2 + 62 r_{1}^2 r_{3} r_{4}^2 + 134 r_{1} r_{2} r_{3} r_{4}^2 + 72 r_{2}^2 r_{3} r_{4}^2 + 36 r_{1} r_{3}^2 r_{4}^2 + 36 r_{2} r_{3}^2 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 52 r_{1} r_{2} r_{4}^3 + 28 r_{2}^2 r_{4}^3 + 28 r_{1} r_{3} r_{4}^3 + 28 r_{2} r_{3} r_{4}^3 + 8 r_{1} r_{4}^4 + 8 r_{2} r_{4}^4 + 5 r_{1}^4 r_{5} + 23 r_{1}^3 r_{2} r_{5} + 39 r_{1}^2 r_{2}^2 r_{5} + 29 r_{1} r_{2}^3 r_{5} + 8 r_{2}^4 r_{5} + 18 r_{1}^3 r_{3} r_{5} + 60 r_{1}^2 r_{2} r_{3} r_{5} + 66 r_{1} r_{2}^2 r_{3} r_{5} + 24 r_{2}^3 r_{3} r_{5} + 21 r_{1}^2 r_{3}^2 r_{5} + 45 r_{1} r_{2} r_{3}^2 r_{5} + 24 r_{2}^2 r_{3}^2 r_{5} + 8 r_{1} r_{3}^3 r_{5} + 8 r_{2} r_{3}^3 r_{5} + 21 r_{1}^3 r_{4} r_{5} + 70 r_{1}^2 r_{2} r_{4} r_{5} + 77 r_{1} r_{2}^2 r_{4} r_{5} + 28 r_{2}^3 r_{4} r_{5} + 49 r_{1}^2 r_{3} r_{4} r_{5} + 105 r_{1} r_{2} r_{3} r_{4} r_{5} + 56 r_{2}^2 r_{3} r_{4} r_{5} + 28 r_{1} r_{3}^2 r_{4} r_{5} + 28 r_{2} r_{3}^2 r_{4} r_{5} + 28 r_{1}^2 r_{4}^2 r_{5} + 60 r_{1} r_{2} r_{4}^2 r_{5} + 32 r_{2}^2 r_{4}^2 r_{5} + 32 r_{1} r_{3} r_{4}^2 r_{5} + 32 r_{2} r_{3} r_{4}^2 r_{5} + 12 r_{1} r_{4}^3 r_{5} + 12 r_{2} r_{4}^3 r_{5} + 4 r_{1}^3 r_{5}^2 + 13 r_{1}^2 r_{2} r_{5}^2 + 14 r_{1} r_{2}^2 r_{5}^2 + 5 r_{2}^3 r_{5}^2 + 9 r_{1}^2 r_{3} r_{5}^2 + 19 r_{1} r_{2} r_{3} r_{5}^2 + 10 r_{2}^2 r_{3} r_{5}^2 + 5 r_{1} r_{3}^2 r_{5}^2 + 5 r_{2} r_{3}^2 r_{5}^2 + 10 r_{1}^2 r_{4} r_{5}^2 + 21 r_{1} r_{2} r_{4} r_{5}^2 + 11 r_{2}^2 r_{4} r_{5}^2 + 11 r_{1} r_{3} r_{4} r_{5}^2 + 11 r_{2} r_{3} r_{4} r_{5}^2 + 6 r_{1} r_{4}^2 r_{5}^2 + 6 r_{2} r_{4}^2 r_{5}^2 + r_{1}^2 r_{5}^3 + 2 r_{1} r_{2} r_{5}^3 + r_{2}^2 r_{5}^3 + r_{1} r_{3} r_{5}^3 + r_{2} r_{3} r_{5}^3 + r_{1} r_{4} r_{5}^3 + r_{2} r_{4} r_{5}^3]s_{(542)}+[2 r_{1}^4 + 10 r_{1}^3 r_{2} + 18 r_{1}^2 r_{2}^2 + 14 r_{1} r_{2}^3 + 4 r_{2}^4 + 8 r_{1}^3 r_{3} + 28 r_{1}^2 r_{2} r_{3} + 32 r_{1} r_{2}^2 r_{3} + 12 r_{2}^3 r_{3} + 10 r_{1}^2 r_{3}^2 + 22 r_{1} r_{2} r_{3}^2 + 12 r_{2}^2 r_{3}^2 + 4 r_{1} r_{3}^3 + 4 r_{2} r_{3}^3 + 10 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 42 r_{1} r_{2}^2 r_{4} + 16 r_{2}^3 r_{4} + 26 r_{1}^2 r_{3} r_{4} + 58 r_{1} r_{2} r_{3} r_{4} + 32 r_{2}^2 r_{3} r_{4} + 16 r_{1} r_{3}^2 r_{4} + 16 r_{2} r_{3}^2 r_{4} + 16 r_{1}^2 r_{4}^2 + 36 r_{1} r_{2} r_{4}^2 + 20 r_{2}^2 r_{4}^2 + 20 r_{1} r_{3} r_{4}^2 + 20 r_{2} r_{3} r_{4}^2 + 8 r_{1} r_{4}^3 + 8 r_{2} r_{4}^3 + 5 r_{1}^3 r_{5} + 18 r_{1}^2 r_{2} r_{5} + 21 r_{1} r_{2}^2 r_{5} + 8 r_{2}^3 r_{5} + 13 r_{1}^2 r_{3} r_{5} + 29 r_{1} r_{2} r_{3} r_{5} + 16 r_{2}^2 r_{3} r_{5} + 8 r_{1} r_{3}^2 r_{5} + 8 r_{2} r_{3}^2 r_{5} + 16 r_{1}^2 r_{4} r_{5} + 36 r_{1} r_{2} r_{4} r_{5} + 20 r_{2}^2 r_{4} r_{5} + 20 r_{1} r_{3} r_{4} r_{5} + 20 r_{2} r_{3} r_{4} r_{5} + 12 r_{1} r_{4}^2 r_{5} + 12 r_{2} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 9 r_{1} r_{2} r_{5}^2 + 5 r_{2}^2 r_{5}^2 + 5 r_{1} r_{3} r_{5}^2 + 5 r_{2} r_{3} r_{5}^2 + 6 r_{1} r_{4} r_{5}^2 + 6 r_{2} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3]s_{(5421)}+[4 r_{1}^4 + 20 r_{1}^3 r_{2} + 36 r_{1}^2 r_{2}^2 + 28 r_{1} r_{2}^3 + 8 r_{2}^4 + 20 r_{1}^3 r_{3} + 72 r_{1}^2 r_{2} r_{3} + 84 r_{1} r_{2}^2 r_{3} + 32 r_{2}^3 r_{3} + 36 r_{1}^2 r_{3}^2 + 84 r_{1} r_{2} r_{3}^2 + 48 r_{2}^2 r_{3}^2 + 28 r_{1} r_{3}^3 + 32 r_{2} r_{3}^3 + 8 r_{3}^4 + 20 r_{1}^3 r_{4} + 72 r_{1}^2 r_{2} r_{4} + 84 r_{1} r_{2}^2 r_{4} + 32 r_{2}^3 r_{4} + 72 r_{1}^2 r_{3} r_{4} + 168 r_{1} r_{2} r_{3} r_{4} + 96 r_{2}^2 r_{3} r_{4} + 84 r_{1} r_{3}^2 r_{4} + 96 r_{2} r_{3}^2 r_{4} + 32 r_{3}^3 r_{4} + 36 r_{1}^2 r_{4}^2 + 84 r_{1} r_{2} r_{4}^2 + 48 r_{2}^2 r_{4}^2 + 84 r_{1} r_{3} r_{4}^2 + 96 r_{2} r_{3} r_{4}^2 + 48 r_{3}^2 r_{4}^2 + 28 r_{1} r_{4}^3 + 32 r_{2} r_{4}^3 + 32 r_{3} r_{4}^3 + 8 r_{4}^4 + 8 r_{1}^3 r_{5} + 28 r_{1}^2 r_{2} r_{5} + 32 r_{1} r_{2}^2 r_{5} + 12 r_{2}^3 r_{5} + 28 r_{1}^2 r_{3} r_{5} + 64 r_{1} r_{2} r_{3} r_{5} + 36 r_{2}^2 r_{3} r_{5} + 32 r_{1} r_{3}^2 r_{5} + 36 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 28 r_{1}^2 r_{4} r_{5} + 64 r_{1} r_{2} r_{4} r_{5} + 36 r_{2}^2 r_{4} r_{5} + 64 r_{1} r_{3} r_{4} r_{5} + 72 r_{2} r_{3} r_{4} r_{5} + 36 r_{3}^2 r_{4} r_{5} + 32 r_{1} r_{4}^2 r_{5} + 36 r_{2} r_{4}^2 r_{5} + 36 r_{3} r_{4}^2 r_{5} + 12 r_{4}^3 r_{5} + 5 r_{1}^2 r_{5}^2 + 11 r_{1} r_{2} r_{5}^2 + 6 r_{2}^2 r_{5}^2 + 11 r_{1} r_{3} r_{5}^2 + 12 r_{2} r_{3} r_{5}^2 + 6 r_{3}^2 r_{5}^2 + 11 r_{1} r_{4} r_{5}^2 + 12 r_{2} r_{4} r_{5}^2 + 12 r_{3} r_{4} r_{5}^2 + 6 r_{4}^2 r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3 + r_{4} r_{5}^3]s_{(543)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 20 r_{1} r_{2}^2 + 8 r_{2}^3 + 16 r_{1}^2 r_{3} + 40 r_{1} r_{2} r_{3} + 24 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 24 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 40 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 48 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 24 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 20 r_{1} r_{2} r_{5} + 12 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 24 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 24 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 6 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5431)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 4 r_{2}^2 + 6 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(5432)}$


$s_{(5421)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 10 r_{1}^4 r_{3} + 46 r_{1}^3 r_{2} r_{3} + 78 r_{1}^2 r_{2}^2 r_{3} + 58 r_{1} r_{2}^3 r_{3} + 16 r_{2}^4 r_{3} + 18 r_{1}^3 r_{3}^2 + 60 r_{1}^2 r_{2} r_{3}^2 + 66 r_{1} r_{2}^2 r_{3}^2 + 24 r_{2}^3 r_{3}^2 + 14 r_{1}^2 r_{3}^3 + 30 r_{1} r_{2} r_{3}^3 + 16 r_{2}^2 r_{3}^3 + 4 r_{1} r_{3}^4 + 4 r_{2} r_{3}^4 + 12 r_{1}^4 r_{4} + 56 r_{1}^3 r_{2} r_{4} + 96 r_{1}^2 r_{2}^2 r_{4} + 72 r_{1} r_{2}^3 r_{4} + 20 r_{2}^4 r_{4} + 44 r_{1}^3 r_{3} r_{4} + 148 r_{1}^2 r_{2} r_{3} r_{4} + 164 r_{1} r_{2}^2 r_{3} r_{4} + 60 r_{2}^3 r_{3} r_{4} + 52 r_{1}^2 r_{3}^2 r_{4} + 112 r_{1} r_{2} r_{3}^2 r_{4} + 60 r_{2}^2 r_{3}^2 r_{4} + 20 r_{1} r_{3}^3 r_{4} + 20 r_{2} r_{3}^3 r_{4} + 26 r_{1}^3 r_{4}^2 + 88 r_{1}^2 r_{2} r_{4}^2 + 98 r_{1} r_{2}^2 r_{4}^2 + 36 r_{2}^3 r_{4}^2 + 62 r_{1}^2 r_{3} r_{4}^2 + 134 r_{1} r_{2} r_{3} r_{4}^2 + 72 r_{2}^2 r_{3} r_{4}^2 + 36 r_{1} r_{3}^2 r_{4}^2 + 36 r_{2} r_{3}^2 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 52 r_{1} r_{2} r_{4}^3 + 28 r_{2}^2 r_{4}^3 + 28 r_{1} r_{3} r_{4}^3 + 28 r_{2} r_{3} r_{4}^3 + 8 r_{1} r_{4}^4 + 8 r_{2} r_{4}^4 + 7 r_{1}^4 r_{5} + 33 r_{1}^3 r_{2} r_{5} + 57 r_{1}^2 r_{2}^2 r_{5} + 43 r_{1} r_{2}^3 r_{5} + 12 r_{2}^4 r_{5} + 26 r_{1}^3 r_{3} r_{5} + 88 r_{1}^2 r_{2} r_{3} r_{5} + 98 r_{1} r_{2}^2 r_{3} r_{5} + 36 r_{2}^3 r_{3} r_{5} + 31 r_{1}^2 r_{3}^2 r_{5} + 67 r_{1} r_{2} r_{3}^2 r_{5} + 36 r_{2}^2 r_{3}^2 r_{5} + 12 r_{1} r_{3}^3 r_{5} + 12 r_{2} r_{3}^3 r_{5} + 31 r_{1}^3 r_{4} r_{5} + 106 r_{1}^2 r_{2} r_{4} r_{5} + 119 r_{1} r_{2}^2 r_{4} r_{5} + 44 r_{2}^3 r_{4} r_{5} + 75 r_{1}^2 r_{3} r_{4} r_{5} + 163 r_{1} r_{2} r_{3} r_{4} r_{5} + 88 r_{2}^2 r_{3} r_{4} r_{5} + 44 r_{1} r_{3}^2 r_{4} r_{5} + 44 r_{2} r_{3}^2 r_{4} r_{5} + 44 r_{1}^2 r_{4}^2 r_{5} + 96 r_{1} r_{2} r_{4}^2 r_{5} + 52 r_{2}^2 r_{4}^2 r_{5} + 52 r_{1} r_{3} r_{4}^2 r_{5} + 52 r_{2} r_{3} r_{4}^2 r_{5} + 20 r_{1} r_{4}^3 r_{5} + 20 r_{2} r_{4}^3 r_{5} + 9 r_{1}^3 r_{5}^2 + 31 r_{1}^2 r_{2} r_{5}^2 + 35 r_{1} r_{2}^2 r_{5}^2 + 13 r_{2}^3 r_{5}^2 + 22 r_{1}^2 r_{3} r_{5}^2 + 48 r_{1} r_{2} r_{3} r_{5}^2 + 26 r_{2}^2 r_{3} r_{5}^2 + 13 r_{1} r_{3}^2 r_{5}^2 + 13 r_{2} r_{3}^2 r_{5}^2 + 26 r_{1}^2 r_{4} r_{5}^2 + 57 r_{1} r_{2} r_{4} r_{5}^2 + 31 r_{2}^2 r_{4} r_{5}^2 + 31 r_{1} r_{3} r_{4} r_{5}^2 + 31 r_{2} r_{3} r_{4} r_{5}^2 + 18 r_{1} r_{4}^2 r_{5}^2 + 18 r_{2} r_{4}^2 r_{5}^2 + 5 r_{1}^2 r_{5}^3 + 11 r_{1} r_{2} r_{5}^3 + 6 r_{2}^2 r_{5}^3 + 6 r_{1} r_{3} r_{5}^3 + 6 r_{2} r_{3} r_{5}^3 + 7 r_{1} r_{4} r_{5}^3 + 7 r_{2} r_{4} r_{5}^3 + r_{1} r_{5}^4 + r_{2} r_{5}^4]s_{(5421)}+[4 r_{1}^4 + 20 r_{1}^3 r_{2} + 36 r_{1}^2 r_{2}^2 + 28 r_{1} r_{2}^3 + 8 r_{2}^4 + 20 r_{1}^3 r_{3} + 72 r_{1}^2 r_{2} r_{3} + 84 r_{1} r_{2}^2 r_{3} + 32 r_{2}^3 r_{3} + 36 r_{1}^2 r_{3}^2 + 84 r_{1} r_{2} r_{3}^2 + 48 r_{2}^2 r_{3}^2 + 28 r_{1} r_{3}^3 + 32 r_{2} r_{3}^3 + 8 r_{3}^4 + 20 r_{1}^3 r_{4} + 72 r_{1}^2 r_{2} r_{4} + 84 r_{1} r_{2}^2 r_{4} + 32 r_{2}^3 r_{4} + 72 r_{1}^2 r_{3} r_{4} + 168 r_{1} r_{2} r_{3} r_{4} + 96 r_{2}^2 r_{3} r_{4} + 84 r_{1} r_{3}^2 r_{4} + 96 r_{2} r_{3}^2 r_{4} + 32 r_{3}^3 r_{4} + 36 r_{1}^2 r_{4}^2 + 84 r_{1} r_{2} r_{4}^2 + 48 r_{2}^2 r_{4}^2 + 84 r_{1} r_{3} r_{4}^2 + 96 r_{2} r_{3} r_{4}^2 + 48 r_{3}^2 r_{4}^2 + 28 r_{1} r_{4}^3 + 32 r_{2} r_{4}^3 + 32 r_{3} r_{4}^3 + 8 r_{4}^4 + 12 r_{1}^3 r_{5} + 44 r_{1}^2 r_{2} r_{5} + 52 r_{1} r_{2}^2 r_{5} + 20 r_{2}^3 r_{5} + 44 r_{1}^2 r_{3} r_{5} + 104 r_{1} r_{2} r_{3} r_{5} + 60 r_{2}^2 r_{3} r_{5} + 52 r_{1} r_{3}^2 r_{5} + 60 r_{2} r_{3}^2 r_{5} + 20 r_{3}^3 r_{5} + 44 r_{1}^2 r_{4} r_{5} + 104 r_{1} r_{2} r_{4} r_{5} + 60 r_{2}^2 r_{4} r_{5} + 104 r_{1} r_{3} r_{4} r_{5} + 120 r_{2} r_{3} r_{4} r_{5} + 60 r_{3}^2 r_{4} r_{5} + 52 r_{1} r_{4}^2 r_{5} + 60 r_{2} r_{4}^2 r_{5} + 60 r_{3} r_{4}^2 r_{5} + 20 r_{4}^3 r_{5} + 13 r_{1}^2 r_{5}^2 + 31 r_{1} r_{2} r_{5}^2 + 18 r_{2}^2 r_{5}^2 + 31 r_{1} r_{3} r_{5}^2 + 36 r_{2} r_{3} r_{5}^2 + 18 r_{3}^2 r_{5}^2 + 31 r_{1} r_{4} r_{5}^2 + 36 r_{2} r_{4} r_{5}^2 + 36 r_{3} r_{4} r_{5}^2 + 18 r_{4}^2 r_{5}^2 + 6 r_{1} r_{5}^3 + 7 r_{2} r_{5}^3 + 7 r_{3} r_{5}^3 + 7 r_{4} r_{5}^3 + r_{5}^4]s_{(5431)}+[4 r_{1}^3 + 16 r_{1}^2 r_{2} + 20 r_{1} r_{2}^2 + 8 r_{2}^3 + 16 r_{1}^2 r_{3} + 40 r_{1} r_{2} r_{3} + 24 r_{2}^2 r_{3} + 20 r_{1} r_{3}^2 + 24 r_{2} r_{3}^2 + 8 r_{3}^3 + 16 r_{1}^2 r_{4} + 40 r_{1} r_{2} r_{4} + 24 r_{2}^2 r_{4} + 40 r_{1} r_{3} r_{4} + 48 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 20 r_{1} r_{4}^2 + 24 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 8 r_{1}^2 r_{5} + 20 r_{1} r_{2} r_{5} + 12 r_{2}^2 r_{5} + 20 r_{1} r_{3} r_{5} + 24 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 20 r_{1} r_{4} r_{5} + 24 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 5 r_{1} r_{5}^2 + 6 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5432)}+[2 r_{1}^2 + 6 r_{1} r_{2} + 4 r_{2}^2 + 6 r_{1} r_{3} + 8 r_{2} r_{3} + 4 r_{3}^2 + 6 r_{1} r_{4} + 8 r_{2} r_{4} + 8 r_{3} r_{4} + 4 r_{4}^2 + 3 r_{1} r_{5} + 4 r_{2} r_{5} + 4 r_{3} r_{5} + 4 r_{4} r_{5} + r_{5}^2]s_{(54321)}$


$s_{(543)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 14 r_{1}^4 r_{3} + 66 r_{1}^3 r_{2} r_{3} + 114 r_{1}^2 r_{2}^2 r_{3} + 86 r_{1} r_{2}^3 r_{3} + 24 r_{2}^4 r_{3} + 38 r_{1}^3 r_{3}^2 + 132 r_{1}^2 r_{2} r_{3}^2 + 150 r_{1} r_{2}^2 r_{3}^2 + 56 r_{2}^3 r_{3}^2 + 50 r_{1}^2 r_{3}^3 + 114 r_{1} r_{2} r_{3}^3 + 64 r_{2}^2 r_{3}^3 + 32 r_{1} r_{3}^4 + 36 r_{2} r_{3}^4 + 8 r_{3}^5 + 12 r_{1}^4 r_{4} + 56 r_{1}^3 r_{2} r_{4} + 96 r_{1}^2 r_{2}^2 r_{4} + 72 r_{1} r_{2}^3 r_{4} + 20 r_{2}^4 r_{4} + 64 r_{1}^3 r_{3} r_{4} + 220 r_{1}^2 r_{2} r_{3} r_{4} + 248 r_{1} r_{2}^2 r_{3} r_{4} + 92 r_{2}^3 r_{3} r_{4} + 124 r_{1}^2 r_{3}^2 r_{4} + 280 r_{1} r_{2} r_{3}^2 r_{4} + 156 r_{2}^2 r_{3}^2 r_{4} + 104 r_{1} r_{3}^3 r_{4} + 116 r_{2} r_{3}^3 r_{4} + 32 r_{3}^4 r_{4} + 26 r_{1}^3 r_{4}^2 + 88 r_{1}^2 r_{2} r_{4}^2 + 98 r_{1} r_{2}^2 r_{4}^2 + 36 r_{2}^3 r_{4}^2 + 98 r_{1}^2 r_{3} r_{4}^2 + 218 r_{1} r_{2} r_{3} r_{4}^2 + 120 r_{2}^2 r_{3} r_{4}^2 + 120 r_{1} r_{3}^2 r_{4}^2 + 132 r_{2} r_{3}^2 r_{4}^2 + 48 r_{3}^3 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 52 r_{1} r_{2} r_{4}^3 + 28 r_{2}^2 r_{4}^3 + 56 r_{1} r_{3} r_{4}^3 + 60 r_{2} r_{3} r_{4}^3 + 32 r_{3}^2 r_{4}^3 + 8 r_{1} r_{4}^4 + 8 r_{2} r_{4}^4 + 8 r_{3} r_{4}^4 + 5 r_{1}^4 r_{5} + 23 r_{1}^3 r_{2} r_{5} + 39 r_{1}^2 r_{2}^2 r_{5} + 29 r_{1} r_{2}^3 r_{5} + 8 r_{2}^4 r_{5} + 26 r_{1}^3 r_{3} r_{5} + 88 r_{1}^2 r_{2} r_{3} r_{5} + 98 r_{1} r_{2}^2 r_{3} r_{5} + 36 r_{2}^3 r_{3} r_{5} + 49 r_{1}^2 r_{3}^2 r_{5} + 109 r_{1} r_{2} r_{3}^2 r_{5} + 60 r_{2}^2 r_{3}^2 r_{5} + 40 r_{1} r_{3}^3 r_{5} + 44 r_{2} r_{3}^3 r_{5} + 12 r_{3}^4 r_{5} + 21 r_{1}^3 r_{4} r_{5} + 70 r_{1}^2 r_{2} r_{4} r_{5} + 77 r_{1} r_{2}^2 r_{4} r_{5} + 28 r_{2}^3 r_{4} r_{5} + 77 r_{1}^2 r_{3} r_{4} r_{5} + 169 r_{1} r_{2} r_{3} r_{4} r_{5} + 92 r_{2}^2 r_{3} r_{4} r_{5} + 92 r_{1} r_{3}^2 r_{4} r_{5} + 100 r_{2} r_{3}^2 r_{4} r_{5} + 36 r_{3}^3 r_{4} r_{5} + 28 r_{1}^2 r_{4}^2 r_{5} + 60 r_{1} r_{2} r_{4}^2 r_{5} + 32 r_{2}^2 r_{4}^2 r_{5} + 64 r_{1} r_{3} r_{4}^2 r_{5} + 68 r_{2} r_{3} r_{4}^2 r_{5} + 36 r_{3}^2 r_{4}^2 r_{5} + 12 r_{1} r_{4}^3 r_{5} + 12 r_{2} r_{4}^3 r_{5} + 12 r_{3} r_{4}^3 r_{5} + 4 r_{1}^3 r_{5}^2 + 13 r_{1}^2 r_{2} r_{5}^2 + 14 r_{1} r_{2}^2 r_{5}^2 + 5 r_{2}^3 r_{5}^2 + 14 r_{1}^2 r_{3} r_{5}^2 + 30 r_{1} r_{2} r_{3} r_{5}^2 + 16 r_{2}^2 r_{3} r_{5}^2 + 16 r_{1} r_{3}^2 r_{5}^2 + 17 r_{2} r_{3}^2 r_{5}^2 + 6 r_{3}^3 r_{5}^2 + 10 r_{1}^2 r_{4} r_{5}^2 + 21 r_{1} r_{2} r_{4} r_{5}^2 + 11 r_{2}^2 r_{4} r_{5}^2 + 22 r_{1} r_{3} r_{4} r_{5}^2 + 23 r_{2} r_{3} r_{4} r_{5}^2 + 12 r_{3}^2 r_{4} r_{5}^2 + 6 r_{1} r_{4}^2 r_{5}^2 + 6 r_{2} r_{4}^2 r_{5}^2 + 6 r_{3} r_{4}^2 r_{5}^2 + r_{1}^2 r_{5}^3 + 2 r_{1} r_{2} r_{5}^3 + r_{2}^2 r_{5}^3 + 2 r_{1} r_{3} r_{5}^3 + 2 r_{2} r_{3} r_{5}^3 + r_{3}^2 r_{5}^3 + r_{1} r_{4} r_{5}^3 + r_{2} r_{4} r_{5}^3 + r_{3} r_{4} r_{5}^3]s_{(543)}+[2 r_{1}^4 + 10 r_{1}^3 r_{2} + 18 r_{1}^2 r_{2}^2 + 14 r_{1} r_{2}^3 + 4 r_{2}^4 + 12 r_{1}^3 r_{3} + 44 r_{1}^2 r_{2} r_{3} + 52 r_{1} r_{2}^2 r_{3} + 20 r_{2}^3 r_{3} + 26 r_{1}^2 r_{3}^2 + 62 r_{1} r_{2} r_{3}^2 + 36 r_{2}^2 r_{3}^2 + 24 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 8 r_{3}^4 + 10 r_{1}^3 r_{4} + 36 r_{1}^2 r_{2} r_{4} + 42 r_{1} r_{2}^2 r_{4} + 16 r_{2}^3 r_{4} + 42 r_{1}^2 r_{3} r_{4} + 98 r_{1} r_{2} r_{3} r_{4} + 56 r_{2}^2 r_{3} r_{4} + 56 r_{1} r_{3}^2 r_{4} + 64 r_{2} r_{3}^2 r_{4} + 24 r_{3}^3 r_{4} + 16 r_{1}^2 r_{4}^2 + 36 r_{1} r_{2} r_{4}^2 + 20 r_{2}^2 r_{4}^2 + 40 r_{1} r_{3} r_{4}^2 + 44 r_{2} r_{3} r_{4}^2 + 24 r_{3}^2 r_{4}^2 + 8 r_{1} r_{4}^3 + 8 r_{2} r_{4}^3 + 8 r_{3} r_{4}^3 + 5 r_{1}^3 r_{5} + 18 r_{1}^2 r_{2} r_{5} + 21 r_{1} r_{2}^2 r_{5} + 8 r_{2}^3 r_{5} + 21 r_{1}^2 r_{3} r_{5} + 49 r_{1} r_{2} r_{3} r_{5} + 28 r_{2}^2 r_{3} r_{5} + 28 r_{1} r_{3}^2 r_{5} + 32 r_{2} r_{3}^2 r_{5} + 12 r_{3}^3 r_{5} + 16 r_{1}^2 r_{4} r_{5} + 36 r_{1} r_{2} r_{4} r_{5} + 20 r_{2}^2 r_{4} r_{5} + 40 r_{1} r_{3} r_{4} r_{5} + 44 r_{2} r_{3} r_{4} r_{5} + 24 r_{3}^2 r_{4} r_{5} + 12 r_{1} r_{4}^2 r_{5} + 12 r_{2} r_{4}^2 r_{5} + 12 r_{3} r_{4}^2 r_{5} + 4 r_{1}^2 r_{5}^2 + 9 r_{1} r_{2} r_{5}^2 + 5 r_{2}^2 r_{5}^2 + 10 r_{1} r_{3} r_{5}^2 + 11 r_{2} r_{3} r_{5}^2 + 6 r_{3}^2 r_{5}^2 + 6 r_{1} r_{4} r_{5}^2 + 6 r_{2} r_{4} r_{5}^2 + 6 r_{3} r_{4} r_{5}^2 + r_{1} r_{5}^3 + r_{2} r_{5}^3 + r_{3} r_{5}^3]s_{(5431)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 10 r_{1} r_{2}^2 + 4 r_{2}^3 + 10 r_{1}^2 r_{3} + 26 r_{1} r_{2} r_{3} + 16 r_{2}^2 r_{3} + 16 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 8 r_{3}^3 + 10 r_{1}^2 r_{4} + 26 r_{1} r_{2} r_{4} + 16 r_{2}^2 r_{4} + 32 r_{1} r_{3} r_{4} + 40 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 13 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 20 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(5432)}$


$s_{(5431)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 14 r_{1}^4 r_{3} + 66 r_{1}^3 r_{2} r_{3} + 114 r_{1}^2 r_{2}^2 r_{3} + 86 r_{1} r_{2}^3 r_{3} + 24 r_{2}^4 r_{3} + 38 r_{1}^3 r_{3}^2 + 132 r_{1}^2 r_{2} r_{3}^2 + 150 r_{1} r_{2}^2 r_{3}^2 + 56 r_{2}^3 r_{3}^2 + 50 r_{1}^2 r_{3}^3 + 114 r_{1} r_{2} r_{3}^3 + 64 r_{2}^2 r_{3}^3 + 32 r_{1} r_{3}^4 + 36 r_{2} r_{3}^4 + 8 r_{3}^5 + 12 r_{1}^4 r_{4} + 56 r_{1}^3 r_{2} r_{4} + 96 r_{1}^2 r_{2}^2 r_{4} + 72 r_{1} r_{2}^3 r_{4} + 20 r_{2}^4 r_{4} + 64 r_{1}^3 r_{3} r_{4} + 220 r_{1}^2 r_{2} r_{3} r_{4} + 248 r_{1} r_{2}^2 r_{3} r_{4} + 92 r_{2}^3 r_{3} r_{4} + 124 r_{1}^2 r_{3}^2 r_{4} + 280 r_{1} r_{2} r_{3}^2 r_{4} + 156 r_{2}^2 r_{3}^2 r_{4} + 104 r_{1} r_{3}^3 r_{4} + 116 r_{2} r_{3}^3 r_{4} + 32 r_{3}^4 r_{4} + 26 r_{1}^3 r_{4}^2 + 88 r_{1}^2 r_{2} r_{4}^2 + 98 r_{1} r_{2}^2 r_{4}^2 + 36 r_{2}^3 r_{4}^2 + 98 r_{1}^2 r_{3} r_{4}^2 + 218 r_{1} r_{2} r_{3} r_{4}^2 + 120 r_{2}^2 r_{3} r_{4}^2 + 120 r_{1} r_{3}^2 r_{4}^2 + 132 r_{2} r_{3}^2 r_{4}^2 + 48 r_{3}^3 r_{4}^2 + 24 r_{1}^2 r_{4}^3 + 52 r_{1} r_{2} r_{4}^3 + 28 r_{2}^2 r_{4}^3 + 56 r_{1} r_{3} r_{4}^3 + 60 r_{2} r_{3} r_{4}^3 + 32 r_{3}^2 r_{4}^3 + 8 r_{1} r_{4}^4 + 8 r_{2} r_{4}^4 + 8 r_{3} r_{4}^4 + 7 r_{1}^4 r_{5} + 33 r_{1}^3 r_{2} r_{5} + 57 r_{1}^2 r_{2}^2 r_{5} + 43 r_{1} r_{2}^3 r_{5} + 12 r_{2}^4 r_{5} + 38 r_{1}^3 r_{3} r_{5} + 132 r_{1}^2 r_{2} r_{3} r_{5} + 150 r_{1} r_{2}^2 r_{3} r_{5} + 56 r_{2}^3 r_{3} r_{5} + 75 r_{1}^2 r_{3}^2 r_{5} + 171 r_{1} r_{2} r_{3}^2 r_{5} + 96 r_{2}^2 r_{3}^2 r_{5} + 64 r_{1} r_{3}^3 r_{5} + 72 r_{2} r_{3}^3 r_{5} + 20 r_{3}^4 r_{5} + 31 r_{1}^3 r_{4} r_{5} + 106 r_{1}^2 r_{2} r_{4} r_{5} + 119 r_{1} r_{2}^2 r_{4} r_{5} + 44 r_{2}^3 r_{4} r_{5} + 119 r_{1}^2 r_{3} r_{4} r_{5} + 267 r_{1} r_{2} r_{3} r_{4} r_{5} + 148 r_{2}^2 r_{3} r_{4} r_{5} + 148 r_{1} r_{3}^2 r_{4} r_{5} + 164 r_{2} r_{3}^2 r_{4} r_{5} + 60 r_{3}^3 r_{4} r_{5} + 44 r_{1}^2 r_{4}^2 r_{5} + 96 r_{1} r_{2} r_{4}^2 r_{5} + 52 r_{2}^2 r_{4}^2 r_{5} + 104 r_{1} r_{3} r_{4}^2 r_{5} + 112 r_{2} r_{3} r_{4}^2 r_{5} + 60 r_{3}^2 r_{4}^2 r_{5} + 20 r_{1} r_{4}^3 r_{5} + 20 r_{2} r_{4}^3 r_{5} + 20 r_{3} r_{4}^3 r_{5} + 9 r_{1}^3 r_{5}^2 + 31 r_{1}^2 r_{2} r_{5}^2 + 35 r_{1} r_{2}^2 r_{5}^2 + 13 r_{2}^3 r_{5}^2 + 35 r_{1}^2 r_{3} r_{5}^2 + 79 r_{1} r_{2} r_{3} r_{5}^2 + 44 r_{2}^2 r_{3} r_{5}^2 + 44 r_{1} r_{3}^2 r_{5}^2 + 49 r_{2} r_{3}^2 r_{5}^2 + 18 r_{3}^3 r_{5}^2 + 26 r_{1}^2 r_{4} r_{5}^2 + 57 r_{1} r_{2} r_{4} r_{5}^2 + 31 r_{2}^2 r_{4} r_{5}^2 + 62 r_{1} r_{3} r_{4} r_{5}^2 + 67 r_{2} r_{3} r_{4} r_{5}^2 + 36 r_{3}^2 r_{4} r_{5}^2 + 18 r_{1} r_{4}^2 r_{5}^2 + 18 r_{2} r_{4}^2 r_{5}^2 + 18 r_{3} r_{4}^2 r_{5}^2 + 5 r_{1}^2 r_{5}^3 + 11 r_{1} r_{2} r_{5}^3 + 6 r_{2}^2 r_{5}^3 + 12 r_{1} r_{3} r_{5}^3 + 13 r_{2} r_{3} r_{5}^3 + 7 r_{3}^2 r_{5}^3 + 7 r_{1} r_{4} r_{5}^3 + 7 r_{2} r_{4} r_{5}^3 + 7 r_{3} r_{4} r_{5}^3 + r_{1} r_{5}^4 + r_{2} r_{5}^4 + r_{3} r_{5}^4]s_{(5431)}+[4 r_{1}^4 + 20 r_{1}^3 r_{2} + 36 r_{1}^2 r_{2}^2 + 28 r_{1} r_{2}^3 + 8 r_{2}^4 + 24 r_{1}^3 r_{3} + 88 r_{1}^2 r_{2} r_{3} + 104 r_{1} r_{2}^2 r_{3} + 40 r_{2}^3 r_{3} + 52 r_{1}^2 r_{3}^2 + 124 r_{1} r_{2} r_{3}^2 + 72 r_{2}^2 r_{3}^2 + 48 r_{1} r_{3}^3 + 56 r_{2} r_{3}^3 + 16 r_{3}^4 + 24 r_{1}^3 r_{4} + 88 r_{1}^2 r_{2} r_{4} + 104 r_{1} r_{2}^2 r_{4} + 40 r_{2}^3 r_{4} + 104 r_{1}^2 r_{3} r_{4} + 248 r_{1} r_{2} r_{3} r_{4} + 144 r_{2}^2 r_{3} r_{4} + 144 r_{1} r_{3}^2 r_{4} + 168 r_{2} r_{3}^2 r_{4} + 64 r_{3}^3 r_{4} + 52 r_{1}^2 r_{4}^2 + 124 r_{1} r_{2} r_{4}^2 + 72 r_{2}^2 r_{4}^2 + 144 r_{1} r_{3} r_{4}^2 + 168 r_{2} r_{3} r_{4}^2 + 96 r_{3}^2 r_{4}^2 + 48 r_{1} r_{4}^3 + 56 r_{2} r_{4}^3 + 64 r_{3} r_{4}^3 + 16 r_{4}^4 + 12 r_{1}^3 r_{5} + 44 r_{1}^2 r_{2} r_{5} + 52 r_{1} r_{2}^2 r_{5} + 20 r_{2}^3 r_{5} + 52 r_{1}^2 r_{3} r_{5} + 124 r_{1} r_{2} r_{3} r_{5} + 72 r_{2}^2 r_{3} r_{5} + 72 r_{1} r_{3}^2 r_{5} + 84 r_{2} r_{3}^2 r_{5} + 32 r_{3}^3 r_{5} + 52 r_{1}^2 r_{4} r_{5} + 124 r_{1} r_{2} r_{4} r_{5} + 72 r_{2}^2 r_{4} r_{5} + 144 r_{1} r_{3} r_{4} r_{5} + 168 r_{2} r_{3} r_{4} r_{5} + 96 r_{3}^2 r_{4} r_{5} + 72 r_{1} r_{4}^2 r_{5} + 84 r_{2} r_{4}^2 r_{5} + 96 r_{3} r_{4}^2 r_{5} + 32 r_{4}^3 r_{5} + 13 r_{1}^2 r_{5}^2 + 31 r_{1} r_{2} r_{5}^2 + 18 r_{2}^2 r_{5}^2 + 36 r_{1} r_{3} r_{5}^2 + 42 r_{2} r_{3} r_{5}^2 + 24 r_{3}^2 r_{5}^2 + 36 r_{1} r_{4} r_{5}^2 + 42 r_{2} r_{4} r_{5}^2 + 48 r_{3} r_{4} r_{5}^2 + 24 r_{4}^2 r_{5}^2 + 6 r_{1} r_{5}^3 + 7 r_{2} r_{5}^3 + 8 r_{3} r_{5}^3 + 8 r_{4} r_{5}^3 + r_{5}^4]s_{(5432)}+[2 r_{1}^3 + 8 r_{1}^2 r_{2} + 10 r_{1} r_{2}^2 + 4 r_{2}^3 + 10 r_{1}^2 r_{3} + 26 r_{1} r_{2} r_{3} + 16 r_{2}^2 r_{3} + 16 r_{1} r_{3}^2 + 20 r_{2} r_{3}^2 + 8 r_{3}^3 + 10 r_{1}^2 r_{4} + 26 r_{1} r_{2} r_{4} + 16 r_{2}^2 r_{4} + 32 r_{1} r_{3} r_{4} + 40 r_{2} r_{3} r_{4} + 24 r_{3}^2 r_{4} + 16 r_{1} r_{4}^2 + 20 r_{2} r_{4}^2 + 24 r_{3} r_{4}^2 + 8 r_{4}^3 + 5 r_{1}^2 r_{5} + 13 r_{1} r_{2} r_{5} + 8 r_{2}^2 r_{5} + 16 r_{1} r_{3} r_{5} + 20 r_{2} r_{3} r_{5} + 12 r_{3}^2 r_{5} + 16 r_{1} r_{4} r_{5} + 20 r_{2} r_{4} r_{5} + 24 r_{3} r_{4} r_{5} + 12 r_{4}^2 r_{5} + 4 r_{1} r_{5}^2 + 5 r_{2} r_{5}^2 + 6 r_{3} r_{5}^2 + 6 r_{4} r_{5}^2 + r_{5}^3]s_{(54321)}$


$s_{(5432)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 14 r_{1}^4 r_{3} + 66 r_{1}^3 r_{2} r_{3} + 114 r_{1}^2 r_{2}^2 r_{3} + 86 r_{1} r_{2}^3 r_{3} + 24 r_{2}^4 r_{3} + 38 r_{1}^3 r_{3}^2 + 132 r_{1}^2 r_{2} r_{3}^2 + 150 r_{1} r_{2}^2 r_{3}^2 + 56 r_{2}^3 r_{3}^2 + 50 r_{1}^2 r_{3}^3 + 114 r_{1} r_{2} r_{3}^3 + 64 r_{2}^2 r_{3}^3 + 32 r_{1} r_{3}^4 + 36 r_{2} r_{3}^4 + 8 r_{3}^5 + 16 r_{1}^4 r_{4} + 76 r_{1}^3 r_{2} r_{4} + 132 r_{1}^2 r_{2}^2 r_{4} + 100 r_{1} r_{2}^3 r_{4} + 28 r_{2}^4 r_{4} + 88 r_{1}^3 r_{3} r_{4} + 308 r_{1}^2 r_{2} r_{3} r_{4} + 352 r_{1} r_{2}^2 r_{3} r_{4} + 132 r_{2}^3 r_{3} r_{4} + 176 r_{1}^2 r_{3}^2 r_{4} + 404 r_{1} r_{2} r_{3}^2 r_{4} + 228 r_{2}^2 r_{3}^2 r_{4} + 152 r_{1} r_{3}^3 r_{4} + 172 r_{2} r_{3}^3 r_{4} + 48 r_{3}^4 r_{4} + 50 r_{1}^3 r_{4}^2 + 176 r_{1}^2 r_{2} r_{4}^2 + 202 r_{1} r_{2}^2 r_{4}^2 + 76 r_{2}^3 r_{4}^2 + 202 r_{1}^2 r_{3} r_{4}^2 + 466 r_{1} r_{2} r_{3} r_{4}^2 + 264 r_{2}^2 r_{3} r_{4}^2 + 264 r_{1} r_{3}^2 r_{4}^2 + 300 r_{2} r_{3}^2 r_{4}^2 + 112 r_{3}^3 r_{4}^2 + 76 r_{1}^2 r_{4}^3 + 176 r_{1} r_{2} r_{4}^3 + 100 r_{2}^2 r_{4}^3 + 200 r_{1} r_{3} r_{4}^3 + 228 r_{2} r_{3} r_{4}^3 + 128 r_{3}^2 r_{4}^3 + 56 r_{1} r_{4}^4 + 64 r_{2} r_{4}^4 + 72 r_{3} r_{4}^4 + 16 r_{4}^5 + 7 r_{1}^4 r_{5} + 33 r_{1}^3 r_{2} r_{5} + 57 r_{1}^2 r_{2}^2 r_{5} + 43 r_{1} r_{2}^3 r_{5} + 12 r_{2}^4 r_{5} + 38 r_{1}^3 r_{3} r_{5} + 132 r_{1}^2 r_{2} r_{3} r_{5} + 150 r_{1} r_{2}^2 r_{3} r_{5} + 56 r_{2}^3 r_{3} r_{5} + 75 r_{1}^2 r_{3}^2 r_{5} + 171 r_{1} r_{2} r_{3}^2 r_{5} + 96 r_{2}^2 r_{3}^2 r_{5} + 64 r_{1} r_{3}^3 r_{5} + 72 r_{2} r_{3}^3 r_{5} + 20 r_{3}^4 r_{5} + 43 r_{1}^3 r_{4} r_{5} + 150 r_{1}^2 r_{2} r_{4} r_{5} + 171 r_{1} r_{2}^2 r_{4} r_{5} + 64 r_{2}^3 r_{4} r_{5} + 171 r_{1}^2 r_{3} r_{4} r_{5} + 391 r_{1} r_{2} r_{3} r_{4} r_{5} + 220 r_{2}^2 r_{3} r_{4} r_{5} + 220 r_{1} r_{3}^2 r_{4} r_{5} + 248 r_{2} r_{3}^2 r_{4} r_{5} + 92 r_{3}^3 r_{4} r_{5} + 96 r_{1}^2 r_{4}^2 r_{5} + 220 r_{1} r_{2} r_{4}^2 r_{5} + 124 r_{2}^2 r_{4}^2 r_{5} + 248 r_{1} r_{3} r_{4}^2 r_{5} + 280 r_{2} r_{3} r_{4}^2 r_{5} + 156 r_{3}^2 r_{4}^2 r_{5} + 92 r_{1} r_{4}^3 r_{5} + 104 r_{2} r_{4}^3 r_{5} + 116 r_{3} r_{4}^3 r_{5} + 32 r_{4}^4 r_{5} + 9 r_{1}^3 r_{5}^2 + 31 r_{1}^2 r_{2} r_{5}^2 + 35 r_{1} r_{2}^2 r_{5}^2 + 13 r_{2}^3 r_{5}^2 + 35 r_{1}^2 r_{3} r_{5}^2 + 79 r_{1} r_{2} r_{3} r_{5}^2 + 44 r_{2}^2 r_{3} r_{5}^2 + 44 r_{1} r_{3}^2 r_{5}^2 + 49 r_{2} r_{3}^2 r_{5}^2 + 18 r_{3}^3 r_{5}^2 + 39 r_{1}^2 r_{4} r_{5}^2 + 88 r_{1} r_{2} r_{4} r_{5}^2 + 49 r_{2}^2 r_{4} r_{5}^2 + 98 r_{1} r_{3} r_{4} r_{5}^2 + 109 r_{2} r_{3} r_{4} r_{5}^2 + 60 r_{3}^2 r_{4} r_{5}^2 + 54 r_{1} r_{4}^2 r_{5}^2 + 60 r_{2} r_{4}^2 r_{5}^2 + 66 r_{3} r_{4}^2 r_{5}^2 + 24 r_{4}^3 r_{5}^2 + 5 r_{1}^2 r_{5}^3 + 11 r_{1} r_{2} r_{5}^3 + 6 r_{2}^2 r_{5}^3 + 12 r_{1} r_{3} r_{5}^3 + 13 r_{2} r_{3} r_{5}^3 + 7 r_{3}^2 r_{5}^3 + 13 r_{1} r_{4} r_{5}^3 + 14 r_{2} r_{4} r_{5}^3 + 15 r_{3} r_{4} r_{5}^3 + 8 r_{4}^2 r_{5}^3 + r_{1} r_{5}^4 + r_{2} r_{5}^4 + r_{3} r_{5}^4 + r_{4} r_{5}^4]s_{(5432)}+[2 r_{1}^4 + 10 r_{1}^3 r_{2} + 18 r_{1}^2 r_{2}^2 + 14 r_{1} r_{2}^3 + 4 r_{2}^4 + 12 r_{1}^3 r_{3} + 44 r_{1}^2 r_{2} r_{3} + 52 r_{1} r_{2}^2 r_{3} + 20 r_{2}^3 r_{3} + 26 r_{1}^2 r_{3}^2 + 62 r_{1} r_{2} r_{3}^2 + 36 r_{2}^2 r_{3}^2 + 24 r_{1} r_{3}^3 + 28 r_{2} r_{3}^3 + 8 r_{3}^4 + 14 r_{1}^3 r_{4} + 52 r_{1}^2 r_{2} r_{4} + 62 r_{1} r_{2}^2 r_{4} + 24 r_{2}^3 r_{4} + 62 r_{1}^2 r_{3} r_{4} + 150 r_{1} r_{2} r_{3} r_{4} + 88 r_{2}^2 r_{3} r_{4} + 88 r_{1} r_{3}^2 r_{4} + 104 r_{2} r_{3}^2 r_{4} + 40 r_{3}^3 r_{4} + 36 r_{1}^2 r_{4}^2 + 88 r_{1} r_{2} r_{4}^2 + 52 r_{2}^2 r_{4}^2 + 104 r_{1} r_{3} r_{4}^2 + 124 r_{2} r_{3} r_{4}^2 + 72 r_{3}^2 r_{4}^2 + 40 r_{1} r_{4}^3 + 48 r_{2} r_{4}^3 + 56 r_{3} r_{4}^3 + 16 r_{4}^4 + 7 r_{1}^3 r_{5} + 26 r_{1}^2 r_{2} r_{5} + 31 r_{1} r_{2}^2 r_{5} + 12 r_{2}^3 r_{5} + 31 r_{1}^2 r_{3} r_{5} + 75 r_{1} r_{2} r_{3} r_{5} + 44 r_{2}^2 r_{3} r_{5} + 44 r_{1} r_{3}^2 r_{5} + 52 r_{2} r_{3}^2 r_{5} + 20 r_{3}^3 r_{5} + 36 r_{1}^2 r_{4} r_{5} + 88 r_{1} r_{2} r_{4} r_{5} + 52 r_{2}^2 r_{4} r_{5} + 104 r_{1} r_{3} r_{4} r_{5} + 124 r_{2} r_{3} r_{4} r_{5} + 72 r_{3}^2 r_{4} r_{5} + 60 r_{1} r_{4}^2 r_{5} + 72 r_{2} r_{4}^2 r_{5} + 84 r_{3} r_{4}^2 r_{5} + 32 r_{4}^3 r_{5} + 9 r_{1}^2 r_{5}^2 + 22 r_{1} r_{2} r_{5}^2 + 13 r_{2}^2 r_{5}^2 + 26 r_{1} r_{3} r_{5}^2 + 31 r_{2} r_{3} r_{5}^2 + 18 r_{3}^2 r_{5}^2 + 30 r_{1} r_{4} r_{5}^2 + 36 r_{2} r_{4} r_{5}^2 + 42 r_{3} r_{4} r_{5}^2 + 24 r_{4}^2 r_{5}^2 + 5 r_{1} r_{5}^3 + 6 r_{2} r_{5}^3 + 7 r_{3} r_{5}^3 + 8 r_{4} r_{5}^3 + r_{5}^4]s_{(54321)}$


$s_{(54321)}\cdot s_{(5)}=[2 r_{1}^5 + 12 r_{1}^4 r_{2} + 28 r_{1}^3 r_{2}^2 + 32 r_{1}^2 r_{2}^3 + 18 r_{1} r_{2}^4 + 4 r_{2}^5 + 14 r_{1}^4 r_{3} + 66 r_{1}^3 r_{2} r_{3} + 114 r_{1}^2 r_{2}^2 r_{3} + 86 r_{1} r_{2}^3 r_{3} + 24 r_{2}^4 r_{3} + 38 r_{1}^3 r_{3}^2 + 132 r_{1}^2 r_{2} r_{3}^2 + 150 r_{1} r_{2}^2 r_{3}^2 + 56 r_{2}^3 r_{3}^2 + 50 r_{1}^2 r_{3}^3 + 114 r_{1} r_{2} r_{3}^3 + 64 r_{2}^2 r_{3}^3 + 32 r_{1} r_{3}^4 + 36 r_{2} r_{3}^4 + 8 r_{3}^5 + 16 r_{1}^4 r_{4} + 76 r_{1}^3 r_{2} r_{4} + 132 r_{1}^2 r_{2}^2 r_{4} + 100 r_{1} r_{2}^3 r_{4} + 28 r_{2}^4 r_{4} + 88 r_{1}^3 r_{3} r_{4} + 308 r_{1}^2 r_{2} r_{3} r_{4} + 352 r_{1} r_{2}^2 r_{3} r_{4} + 132 r_{2}^3 r_{3} r_{4} + 176 r_{1}^2 r_{3}^2 r_{4} + 404 r_{1} r_{2} r_{3}^2 r_{4} + 228 r_{2}^2 r_{3}^2 r_{4} + 152 r_{1} r_{3}^3 r_{4} + 172 r_{2} r_{3}^3 r_{4} + 48 r_{3}^4 r_{4} + 50 r_{1}^3 r_{4}^2 + 176 r_{1}^2 r_{2} r_{4}^2 + 202 r_{1} r_{2}^2 r_{4}^2 + 76 r_{2}^3 r_{4}^2 + 202 r_{1}^2 r_{3} r_{4}^2 + 466 r_{1} r_{2} r_{3} r_{4}^2 + 264 r_{2}^2 r_{3} r_{4}^2 + 264 r_{1} r_{3}^2 r_{4}^2 + 300 r_{2} r_{3}^2 r_{4}^2 + 112 r_{3}^3 r_{4}^2 + 76 r_{1}^2 r_{4}^3 + 176 r_{1} r_{2} r_{4}^3 + 100 r_{2}^2 r_{4}^3 + 200 r_{1} r_{3} r_{4}^3 + 228 r_{2} r_{3} r_{4}^3 + 128 r_{3}^2 r_{4}^3 + 56 r_{1} r_{4}^4 + 64 r_{2} r_{4}^4 + 72 r_{3} r_{4}^4 + 16 r_{4}^5 + 9 r_{1}^4 r_{5} + 43 r_{1}^3 r_{2} r_{5} + 75 r_{1}^2 r_{2}^2 r_{5} + 57 r_{1} r_{2}^3 r_{5} + 16 r_{2}^4 r_{5} + 50 r_{1}^3 r_{3} r_{5} + 176 r_{1}^2 r_{2} r_{3} r_{5} + 202 r_{1} r_{2}^2 r_{3} r_{5} + 76 r_{2}^3 r_{3} r_{5} + 101 r_{1}^2 r_{3}^2 r_{5} + 233 r_{1} r_{2} r_{3}^2 r_{5} + 132 r_{2}^2 r_{3}^2 r_{5} + 88 r_{1} r_{3}^3 r_{5} + 100 r_{2} r_{3}^3 r_{5} + 28 r_{3}^4 r_{5} + 57 r_{1}^3 r_{4} r_{5} + 202 r_{1}^2 r_{2} r_{4} r_{5} + 233 r_{1} r_{2}^2 r_{4} r_{5} + 88 r_{2}^3 r_{4} r_{5} + 233 r_{1}^2 r_{3} r_{4} r_{5} + 541 r_{1} r_{2} r_{3} r_{4} r_{5} + 308 r_{2}^2 r_{3} r_{4} r_{5} + 308 r_{1} r_{3}^2 r_{4} r_{5} + 352 r_{2} r_{3}^2 r_{4} r_{5} + 132 r_{3}^3 r_{4} r_{5} + 132 r_{1}^2 r_{4}^2 r_{5} + 308 r_{1} r_{2} r_{4}^2 r_{5} + 176 r_{2}^2 r_{4}^2 r_{5} + 352 r_{1} r_{3} r_{4}^2 r_{5} + 404 r_{2} r_{3} r_{4}^2 r_{5} + 228 r_{3}^2 r_{4}^2 r_{5} + 132 r_{1} r_{4}^3 r_{5} + 152 r_{2} r_{4}^3 r_{5} + 172 r_{3} r_{4}^3 r_{5} + 48 r_{4}^4 r_{5} + 16 r_{1}^3 r_{5}^2 + 57 r_{1}^2 r_{2} r_{5}^2 + 66 r_{1} r_{2}^2 r_{5}^2 + 25 r_{2}^3 r_{5}^2 + 66 r_{1}^2 r_{3} r_{5}^2 + 154 r_{1} r_{2} r_{3} r_{5}^2 + 88 r_{2}^2 r_{3} r_{5}^2 + 88 r_{1} r_{3}^2 r_{5}^2 + 101 r_{2} r_{3}^2 r_{5}^2 + 38 r_{3}^3 r_{5}^2 + 75 r_{1}^2 r_{4} r_{5}^2 + 176 r_{1} r_{2} r_{4} r_{5}^2 + 101 r_{2}^2 r_{4} r_{5}^2 + 202 r_{1} r_{3} r_{4} r_{5}^2 + 233 r_{2} r_{3} r_{4} r_{5}^2 + 132 r_{3}^2 r_{4} r_{5}^2 + 114 r_{1} r_{4}^2 r_{5}^2 + 132 r_{2} r_{4}^2 r_{5}^2 + 150 r_{3} r_{4}^2 r_{5}^2 + 56 r_{4}^3 r_{5}^2 + 14 r_{1}^2 r_{5}^3 + 33 r_{1} r_{2} r_{5}^3 + 19 r_{2}^2 r_{5}^3 + 38 r_{1} r_{3} r_{5}^3 + 44 r_{2} r_{3} r_{5}^3 + 25 r_{3}^2 r_{5}^3 + 43 r_{1} r_{4} r_{5}^3 + 50 r_{2} r_{4} r_{5}^3 + 57 r_{3} r_{4} r_{5}^3 + 32 r_{4}^2 r_{5}^3 + 6 r_{1} r_{5}^4 + 7 r_{2} r_{5}^4 + 8 r_{3} r_{5}^4 + 9 r_{4} r_{5}^4 + r_{5}^5]s_{(54321)}$


</math>

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MATT SAMUEL 7-08 \documentclass{article} \begin{document} Pieri products for LG(5,10):
$s_{(1)}\cdot s_{(1)}=[r_{5}]s_{(1)}+2s_{(2)}$


$s_{(2)}\cdot s_{(1)}=[2 r_{4} + r_{5}]s_{(2)}+1s_{(21)}+2s_{(3)}$


$s_{(21)}\cdot s_{(1)}=[2 r_{4} + 2 r_{5}]s_{(21)}+2s_{(31)}$


$s_{(3)}\cdot s_{(1)}=[2 r_{3} + 2 r_{4} + r_{5}]s_{(3)}+1s_{(31)}+2s_{(4)}$


$s_{(31)}\cdot s_{(1)}=[2 r_{3} + 2 r_{4} + 2 r_{5}]s_{(31)}+2s_{(32)}+2s_{(41)}$


$s_{(32)}\cdot s_{(1)}=[2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(32)}+1s_{(321)}+2s_{(42)}$


$s_{(321)}\cdot s_{(1)}=[2 r_{3} + 4 r_{4} + 3 r_{5}]s_{(321)}+2s_{(421)}$


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\documentclass{article} \begin{document} Pieri products for LG(5,10):

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MATT SAMUEL 7-08

$s_{(1)}\cdot s_{(1)}=[r_{5}]s_{(1)}+2s_{(2)}$


$s_{(2)}\cdot s_{(1)}=[2 r_{4} + r_{5}]s_{(2)}+1s_{(21)}+2s_{(3)}$


$s_{(21)}\cdot s_{(1)}=[2 r_{4} + 2 r_{5}]s_{(21)}+2s_{(31)}$


$s_{(3)}\cdot s_{(1)}=[2 r_{3} + 2 r_{4} + r_{5}]s_{(3)}+1s_{(31)}+2s_{(4)}$


$s_{(31)}\cdot s_{(1)}=[2 r_{3} + 2 r_{4} + 2 r_{5}]s_{(31)}+2s_{(32)}+2s_{(41)}$


$s_{(32)}\cdot s_{(1)}=[2 r_{3} + 4 r_{4} + 2 r_{5}]s_{(32)}+1s_{(321)}+2s_{(42)}$


$s_{(321)}\cdot s_{(1)}=[2 r_{3} + 4 r_{4} + 3 r_{5}]s_{(321)}+2s_{(421)}$


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TechLabConsciousness

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TechLab Consciousness readings

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TechLabConsciousness

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Data labeling by users

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Data labeling by users

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Datasets and contests

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Datasets and contests

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Data labeling by users

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Click here for a Matlab file to calculate the cost function for Financial Dataset..

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CN550 - Neural and Computational Models of Recognition, Memory, and Attention

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Prof. Gail A. Carpenter

TF: Jeff Doon

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Syllabus

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Welcome to the Wiki of the Spring 2008 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here..

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 Syllabus.

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CN550 - Neural and Computational Models of Recognition, Memory and Attention

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CN550 - Neural and Computational Models of Recognition, Memory and Attention?

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CN550 - Neural and Computational Models of Recognition, Memory and Attention?

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Welcome to the Wiki of the Spring 2008 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

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Welcome to the Wiki of the Spring 2008 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here..

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If you are a student registered for CN550, you can edit the wiki using the password that has been given to you.

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Editing the wiki

Below are some useful links for editing the wiki:

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Editing the CN550 wiki

If you are a student registered for CN550, you can edit the wiki using the password that has been given to you.

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WikiSandbox
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Simple wiki editing
WikiSandbox
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PmWiki documentation is available at PmWiki.DocumentationIndex.
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PmWiki documentation.
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If you are a student registered for CN550, you will be able to edit sections of the wiki using the password that has been given to you.

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If you are a student registered for CN550, you can edit the wiki using the password that has been given to you.

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Welcome to the Wiki of the Spring 2008 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

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Welcome to the Wiki of the Spring 2008 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

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If you are a student registered for CN550, you will be able to edit and append to the Class Projects, Links and News/Comments sections of the wiki using the password that has been given to you.

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If you are a student registered for CN550, you will be able to edit sections of the wiki using the password that has been given to you.

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Click here for a Matlab file to calculate the cost function for Financial Dataset..

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Using the wiki

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Editing the wiki

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Below are some useful links for editing the wiki:

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 Click here for Matlab file to calculate the cost function for Financial Dataset!.
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PmWiki documentation is available at PmWiki.DocumentationIndex.
TipsForEditing and TextFormattingRules describe how to create pages in PmWiki.
Practice editing pages in the WikiSandbox.

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Welcome to the Wiki of the Spring 2007 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

This is an attempt to bring all resources related to the course together at one place. If you are a student registered for the course, you will be able to edit and append to the Class Projects, Links and News/Comments sections of the wiki using the password that has been given to you. Please participate enthusiastically.

to:

Welcome to the Wiki of the Spring 2008 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

If you are a student registered for CN550, you will be able to edit and append to the Class Projects, Links and News/Comments sections of the wiki using the password that has been given to you.

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Using the wiki

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Using the wiki

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 Click here for Matlab file to calculate the cost function for Financial Dataset!.
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Using the wiki

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Using the wiki

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Welcome

News Flash: Click here for Matlab file to calculate the cost function for Financial Dataset!

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Using the wiki is very simple. Below are some useful links about the wiki:

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 Below are some useful links about the wiki:
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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg Amis, this year.

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Welcome

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News Flash: [[Matlab file to calculate the cost function for Financial Dataset ->

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Welcome to the Wiki of the Spring 2007 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

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Welcome to the Wiki of the Spring 2007 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

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Welcome to the Wiki of the Spring 2005 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

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Welcome to the Wiki of the Spring 2007 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

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Welcome to the Wiki of the Spring 2005 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

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Welcome to the Wiki of the Spring 2005 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

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Welcome to the Wiki of the Spring 2005 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate.

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Welcome to the Wiki of the Spring 2005 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate. View the syllabus here.

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Welcome

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Course Description

CN550 develops neural network models of how internal representations of sensory events and cognitive hypotheses are learned and remembered, and of how such representations enable recognition and recall of these events. Various neural and statistical pattern recognition models, and their historical development and applications, are analyzed. Special attention is given to stable self-organization of pattern recognition and recall by Adaptive Resonance Theory (ART) models. Mathematical techniques and definitions to support fluent access to the neural network and pattern recognition literature are developed throughout the course. Experimental data and theoretical analyses from cognitive psychology, neuropsychology, and neurophysiology of normal and abnormal individuals are also discussed. Course work emphasizes skill development, including writing, mathematics, computational analysis, teamwork, and oral communication.

Using the wiki

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg[[nbsp;Amis]], this year.

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg Amis, this year.

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg[[%nbsp;Amis]], this year.

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg[[nbsp;Amis]], this year.

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg%nbsp;Amis, this year.

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg[[%nbsp;Amis]], this year.

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg%nbsp;Amis, this year.

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg%nbsp;Amis, this year.

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg Amis, this year.

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg%nbsp;Amis, this year.

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This wiki was created by Madhusudana Shashanka in 2005 and is maintained by the current T.F., Greg Amis, this year.

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This is an attempt to bring all resources related to the course together at one place. If you are a student registered for the course, you will be able to edit and append to the Class Projects?, Links and News/Comments sections of the wiki using the password that has been given to you. Please participate enthusiastically.

to:

This is an attempt to bring all resources related to the course together at one place. If you are a student registered for the course, you will be able to edit and append to the Class Projects, Links and News/Comments sections of the wiki using the password that has been given to you. Please participate enthusiastically.

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March 29, 2005, at 01:48 PM by Madhu
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This is an attempt to bring all resources related to the course together at one place. If you are a student registered for the course, you will be able to edit and append to the Class Project Updates?, Useful Links and Comments sections of the wiki using the password that has been given to you. Please participate enthusiastically.

to:

This is an attempt to bring all resources related to the course together at one place. If you are a student registered for the course, you will be able to edit and append to the Class Projects?, Links and News/Comments sections of the wiki using the password that has been given to you. Please participate enthusiastically.

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January 26, 2005, at 07:08 PM by Madhu
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Welcome to the Wiki of the Spring 2005 edition of CN550 - Computational and Neural Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate.

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Welcome to the Wiki of the Spring 2005 edition of CN550 - Neural and Computational Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate.

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January 26, 2005, at 04:40 AM by Madhu
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Welcome to the Wiki of the Spring 2005 edition of CN550 - Computational and Neural Models of Recognition, memory and Attention. Use the links on the sidebar to navigate.

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Welcome to the Wiki of the Spring 2005 edition of CN550 - Computational and Neural Models of Recognition, Memory and Attention. Use the links on the sidebar to navigate.

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Here are some useful default pages installed along with the PmWiki software:

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Welcome to the Wiki of the Spring 2005 edition of CN550 - Computational and Neural Models of Recognition, memory and Attention. Use the links on the sidebar to navigate.

This is an attempt to bring all resources related to the course together at one place. If you are a student registered for the course, you will be able to edit and append to the Class Project Updates?, Useful Links and Comments sections of the wiki using the password that has been given to you. Please participate enthusiastically.

Using the wiki is very simple. Below are some useful links about the wiki:

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More information about PmWiki can be found at http://www.pmwiki.org/.

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