Data:Braiding/A 1/2/4: Difference between revisions

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{{1, {{{{q^(-2), -q^(-6), q^(-12)}, {0, -q^(-6), -((-1 - q^2)/q^12)}, {0, 0, q^(-8)}}, {{0, 0, q^(-6)}, {0, q^(-4), -((1 - q^4)/q^8)}, {q^(-6), -((1 - q^4)/q^6), -((-1 + q^2 + q^4 - q^6)/q^8)}}, {{q^(-2), -q^(-6), q^(-12)}, {0, -q^(-6), -((-1 - q^2)/q^12)}, {0, 0, q^(-8)}}}, {{{q^2, -q^2, 1}, {0, -q^6, -((-q^(-14) - q^(-12))*q^16)}, {0, 0, q^8}}, {{-((-q^(-14) + q^(-12) + q^(-10) - q^(-8))*q^16), -((-q^(-12) + q^(-8))*q^16), q^6}, {-((-q^(-14) + q^(-10))*q^16), q^4, 0}, {q^6, 0, 0}}, {{q^2, -q^2, 1}, {0, -q^6, -((-q^(-14) - q^(-12))*q^16)}, {0, 0, q^8}}}}}, {1 + q^(-2) + q^2, {{{{q^(-2), -q^(-8), 0, -q^(-6), -((-1 - q^2)/q^14), 0}, {0, -q^(-6), 0, 0, -((-1 - q^2)/q^12), 0}, {0, 0, q^(-2), -q^(-6), q^(-12), -q^(-6)}, {0, 0, 0, -q^(-6), -((-1 - q^2)/q^12), 0}, {0, 0, 0, 0, q^(-8), 0}, {0, 0, 0, 0, 0, -q^(-6)}}, {{0, q^(-4), 0, 0, 0, -q^(-12)}, {q^(-4), -((1 - q^4)/q^6), 0, 0, 0, -q^(-10)}, {0, 0, 0, 0, q^(-6), -q^(-10)}, {0, 0, 0, q^(-4), -((1 - q^4)/q^8), -((1 + q^2)/q^10)}, {0, 0, q^(-6), -((1 - q^4)/q^6), -((-1 + q^2 + q^4 - q^6)/q^8), -q^(-6)}, {0, 0, 0, 0, 0, -q^(-6)}}, {{0, 0, q^(-4), 0, -q^(-12), 0}, {0, 0, 0, 0, -q^(-10), q^(-6)}, {q^(-4), 0, -((1 - q^4)/q^6), 0, -q^(-10), 0}, {0, 0, 0, q^(-4), -((1 + q^2)/q^10), -((1 - q^4)/q^8)}, {0, 0, 0, 0, -q^(-6), 0}, {0, q^(-6), 0, -((1 - q^4)/q^6), -q^(-6), -((-1 + q^2 + q^4 - q^6)/q^8)}}}, {{{q^2, -1, 0, -q^2, -((-q^(-32) - q^(-30))*q^30), 0}, {0, -q^6, 0, 0, -((-q^(-28) - q^(-26))*q^30), 0}, {0, 0, q^2, -q^2, 1, -q^2}, {0, 0, 0, -q^6, -((-q^(-28) - q^(-26))*q^30), 0}, {0, 0, 0, 0, q^8, 0}, {0, 0, 0, 0, 0, -q^6}}, {{-((-q^(-28) + q^(-24))*q^30), q^4, 0, 0, 0, -q^(-4)}, {q^4, 0, 0, 0, 0, -q^(-2)}, {0, 0, -((-q^(-28) + q^(-26) + q^(-24) - q^(-22))*q^30), -((-q^(-26) + q^(-22))*q^30), q^6, -q^(-2)}, {0, 0, -((-q^(-28) + q^(-24))*q^30), q^4, 0, -((q^(-32) + q^(-30))*q^30)}, {0, 0, q^6, 0, 0, -q^2}, {0, 0, 0, 0, 0, -q^6}}, {{-((-q^(-28) + q^(-24))*q^30), 0, q^4, 0, -q^(-4), 0}, {0, -((-q^(-28) + q^(-26) + q^(-24) - q^(-22))*q^30), 0, -((-q^(-26) + q^(-22))*q^30), -q^(-2), q^6}, {q^4, 0, 0, 0, -q^(-2), 0}, {0, -((-q^(-28) + q^(-24))*q^30), 0, q^4, -((q^(-32) + q^(-30))*q^30), 0}, {0, 0, 0, 0, -q^6, 0}, {0, q^6, 0, 0, -q^2, 0}}}}}, {1 + q^(-4) + q^(-2) + q^2 + q^4, {{{{q^(-2), 0, -q^(-8), 0, 0, q^(-16)}, {0, q^(-2), -q^(-8), 0, -q^(-8), -((-1 - q^2)/q^16)}, {0, 0, -q^(-6), 0, 0, -((-1 - q^2)/q^14)}, {0, 0, 0, q^(-2), -q^(-6), q^(-12)}, {0, 0, 0, 0, -q^(-6), -((-1 - q^2)/q^12)}, {0, 0, 0, 0, 0, q^(-8)}}, {{q^(-2), 0, 0, 0, 0, 0}, {0, 0, q^(-4), 0, 0, 0}, {0, q^(-4), -((1 - q^4)/q^6), 0, 0, 0}, {0, 0, 0, 0, 0, q^(-6)}, {0, 0, 0, 0, q^(-4), -((1 - q^4)/q^8)}, {0, 0, 0, q^(-6), -((1 - q^4)/q^6), -((-1 + q^2 + q^4 - q^6)/q^8)}}, {{0, 0, 0, q^(-6), 0, 0}, {0, q^(-4), 0, -((1 - q^4)/q^8), 0, 0}, {0, 0, 0, 0, q^(-4), 0}, {q^(-6), -((1 - q^4)/q^6), 0, -((-1 + q^2 + q^4 - q^6)/q^8), 0, 0}, {0, 0, q^(-4), 0, -((1 - q^4)/q^6), 0}, {0, 0, 0, 0, 0, q^(-2)}}}, {{{q^2, 0, -1, 0, 0, q^(-4)}, {0, q^2, -1, 0, -1, (q^(-30) + q^(-28))*q^26}, {0, 0, -q^6, 0, 0, (q^(-26) + q^(-24))*q^26}, {0, 0, 0, q^2, -q^2, 1}, {0, 0, 0, 0, -q^6, (q^(-24) + q^(-22))*q^26}, {0, 0, 0, 0, 0, q^8}}, {{q^2, 0, 0, 0, 0, 0}, {0, (q^(-24) - q^(-20))*q^26, q^4, 0, 0, 0}, {0, q^4, 0, 0, 0, 0}, {0, 0, 0, (q^(-24) - q^(-22) - q^(-20) + q^(-18))*q^26, (q^(-22) - q^(-18))*q^26, q^6}, {0, 0, 0, (q^(-24) - q^(-20))*q^26, q^4, 0}, {0, 0, 0, q^6, 0, 0}}, {{(q^(-24) - q^(-22) - q^(-20) + q^(-18))*q^26, (q^(-22) - q^(-18))*q^26, 0, q^6, 0, 0}, {(q^(-24) - q^(-20))*q^26, q^4, 0, 0, 0, 0}, {0, 0, (q^(-24) - q^(-20))*q^26, 0, q^4, 0}, {q^6, 0, 0, 0, 0, 0}, {0, 0, q^4, 0, 0, 0}, {0, 0, 0, 0, 0, q^2}}}}}, {1 + q^(-6) + q^(-4) + q^(-2) + q^2 + q^4 + q^6, {{{{q^(-2), 0, -q^(-10)}, {0, q^(-2), -q^(-8)}, {0, 0, -q^(-6)}}, {{q^(-2), 0, 0}, {0, 0, q^(-4)}, {0, q^(-4), -((1 - q^4)/q^6)}}, {{0, q^(-4), 0}, {q^(-4), -((1 - q^4)/q^6), 0}, {0, 0, q^(-2)}}}, {{{q^2, 0, -q^(-2)}, {0, q^2, -1}, {0, 0, -q^6}}, {{q^2, 0, 0}, {0, -((-q^(-8) + q^(-4))*q^10), q^4}, {0, q^4, 0}}, {{-((-q^(-8) + q^(-4))*q^10), q^4, 0}, {q^4, 0, 0}, {0, 0, q^2}}}}}, {1 + q^(-8) + q^(-6) + q^(-4) + q^(-2) + q^2 + q^4 + q^6 + q^8, {{{{q^(-2)}}, {{q^(-2)}}, {{q^(-2)}}}, {{{q^2}}, {{q^2}}, {{q^2}}}}}}
{{1 + q^(-8) + q^(-6) + q^(-4) + q^(-2) + q^2 + q^4 + q^6 + q^8, {{{{q^(-2)}}, {{q^(-2)}}, {{q^(-2)}}}, {{{q^2}}, {{q^2}}, {{q^2}}}}}, {1 + q^(-6) + q^(-4) + q^(-2) + q^2 + q^4 + q^6, {{{{q^(-2), 0, 0}, {0, q^(-2), 0}, {0, 0, -q^(-6)}}, {{q^(-2), 0, 0}, {0, -(1/(q^6*(1 + q^4))), (1 + q^4 + q^8)/(q^4*(1 + q^4)^2)}, {0, q^(-4), q^2/(1 + q^4)}}, {{-(1/(q^6*(1 + q^4 + q^8))), (1 + 2*q^4 + 2*q^8 + 2*q^12 + q^16)/(q^4*(1 + q^4 + q^8)^2), 0}, {q^(-4), q^6/(1 + q^4 + q^8), 0}, {0, 0, q^(-2)}}}, {{{q^2, 0, 0}, {0, q^2, 0}, {0, 0, -q^6}}, {{q^2, 0, 0}, {0, -(q^10/(1 + q^4)), (q^4*(1 + q^4 + q^8))/(1 + q^4)^2}, {0, q^4, q^2/(1 + q^4)}}, {{-(q^14/(1 + q^4 + q^8)), (q^4*(1 + 2*q^4 + 2*q^8 + 2*q^12 + q^16))/(1 + q^4 + q^8)^2, 0}, {q^4, q^2/(1 + q^4 + q^8), 0}, {0, 0, q^2}}}}}, {1 + q^(-4) + q^(-2) + q^2 + q^4, {{{{q^(-2), 0, 0, 0, 0, 0}, {0, q^(-2), 0, 0, 0, 0}, {0, 0, -q^(-6), 0, 0, 0}, {0, 0, 0, q^(-2), 0, 0}, {0, 0, 0, 0, -q^(-6), 0}, {0, 0, 0, 0, 0, q^(-8)}}, {{q^(-2), 0, 0, 0, 0, 0}, {0, -(1/(q^6*(1 + q^4))), (1 + q^4 + q^8)/(q^4*(1 + q^4)^2), 0, 0, 0}, {0, q^(-4), q^2/(1 + q^4), 0, 0, 0}, {0, 0, 0, 1/(q^8*(1 + q^2 + 2*q^4 + q^6 + q^8)), (-1 - q^2 - q^4 - q^6 - q^8)/(q^4*(1 + q^4)^2*(1 + q^2 + q^4)), (1 + q^2 + q^4 + q^6 + q^8)/(q^6*(1 + q^2 + q^4)^2)}, {0, 0, 0, -q^(-10), (1 - q^2 + q^4)/(q^4*(1 + q^4)), (1 + q^4)/(q^4*(1 + q^2 + q^4))}, {0, 0, 0, q^(-6), q^2/(1 + q^4), q^2/(1 + q^2 + q^4)}}, {{1/(q^8*(1 + q^2 + 2*q^4 + 2*q^6 + 3*q^8 + 2*q^10 + 2*q^12 + q^14 + q^16)), (-1 - q^2 - 2*q^4 - 2*q^6 - 2*q^8 - 2*q^10 - 2*q^12 - q^14 - q^16)/(q^4*(1 + q^4 + q^8)^2*(1 + q^2 + q^4 + q^6 + q^8)), 0, (1 + 2*q^2 + 3*q^4 + 3*q^6 + 3*q^8 + 3*q^10 + 3*q^12 + 2*q^14 + q^16)/(q^6*(1 + q^2 + q^4 + q^6 + q^8)^2), 0, 0}, {-(1/(q^10*(1 + q^4))), (1 + 2*q^4 - q^6 + 2*q^8 + q^12)/(q^4*(1 + 2*q^4 + 2*q^8 + q^12)), 0, (1 + q^2 + 2*q^4 + q^6 + 2*q^8 + q^10 + q^12)/((1 + q^4)^2*(1 + q^2 + q^4 + q^6 + q^8)), 0, 0}, {0, 0, -(1/(q^6*(1 + q^4))), 0, (1 + q^4 + q^8)/(q^4*(1 + q^4)^2), 0}, {q^(-6), q^6/(1 + q^4 + q^8), 0, q^10/(1 + q^2 + 2*q^4 + 2*q^6 + 2*q^8 + q^10 + q^12), 0, 0}, {0, 0, q^(-4), 0, q^2/(1 + q^4), 0}, {0, 0, 0, 0, 0, q^(-2)}}}, {{{q^2, 0, 0, 0, 0, 0}, {0, q^2, 0, 0, 0, 0}, {0, 0, -q^6, 0, 0, 0}, {0, 0, 0, q^2, 0, 0}, {0, 0, 0, 0, -q^6, 0}, {0, 0, 0, 0, 0, q^8}}, {{q^2, 0, 0, 0, 0, 0}, {0, -(q^10/(1 + q^4)), (q^4*(1 + q^4 + q^8))/(1 + q^4)^2, 0, 0, 0}, {0, q^4, q^2/(1 + q^4), 0, 0, 0}, {0, 0, 0, q^16/(1 + q^2 + 2*q^4 + q^6 + q^8), -((q^12*(1 + q^2 + q^4 + q^6 + q^8))/((1 + q^4)^2*(1 + q^2 + q^4))), (q^6*(1 + q^2 + q^4 + q^6 + q^8))/(1 + q^2 + q^4)^2}, {0, 0, 0, -q^6, (q^4*(1 - q^2 + q^4))/(1 + q^4), (1 + q^4)/(1 + q^2 + q^4)}, {0, 0, 0, q^6, q^6/(1 + q^4), q^2/(1 + q^2 + q^4)}}, {{q^24/(1 + q^2 + 2*q^4 + 2*q^6 + 3*q^8 + 2*q^10 + 2*q^12 + q^14 + q^16), -((q^16*(1 + q^4)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))/((1 + q^4 + q^8)^2*(1 + q^2 + q^4 + q^6 + q^8))), 0, (q^6*(1 + 2*q^2 + 3*q^4 + 3*q^6 + 3*q^8 + 3*q^10 + 3*q^12 + 2*q^14 + q^16))/(1 + q^2 + q^4 + q^6 + q^8)^2, 0, 0}, {-(q^10/(1 + q^4)), (q^4*(1 + 2*q^4 - q^6 + 2*q^8 + q^12))/(1 + 2*q^4 + 2*q^8 + q^12), 0, (1 + q^2 + 2*q^4 + q^6 + 2*q^8 + q^10 + q^12)/((1 + q^4)^2*(1 + q^2 + q^4 + q^6 + q^8)), 0, 0}, {0, 0, -(q^10/(1 + q^4)), 0, (q^4*(1 + q^4 + q^8))/(1 + q^4)^2, 0}, {q^6, q^6/(1 + q^4 + q^8), 0, q^2/(1 + q^2 + 2*q^4 + 2*q^6 + 2*q^8 + q^10 + q^12), 0, 0}, {0, 0, q^4, 0, q^2/(1 + q^4), 0}, {0, 0, 0, 0, 0, q^2}}}}}, {1 + q^(-2) + q^2, {{{{q^(-2), 0, 0, 0, 0, 0}, {0, -q^(-6), 0, 0, 0, 0}, {0, 0, q^(-2), 0, 0, 0}, {0, 0, 0, -q^(-6), 0, 0}, {0, 0, 0, 0, q^(-8), 0}, {0, 0, 0, 0, 0, -q^(-6)}}, {{-(1/(q^6*(1 + q^4))), (1 + q^4 + q^8)/(q^4*(1 + q^4)^2), 0, 0, 0, 0}, {q^(-4), q^2/(1 + q^4), 0, 0, 0, 0}, {0, 0, 1/(q^8*(1 + q^2 + 2*q^4 + q^6 + q^8)), (-1 - q^2 - q^4 - q^6 - q^8)/(q^4*(1 + q^4)^2*(1 + q^2 + q^4)), (1 + q^2 + q^4 + q^6 + q^8)/(q^6*(1 + q^2 + q^4)^2), 0}, {0, 0, -q^(-10), (1 - q^2 + q^4)/(q^4*(1 + q^4)), (1 + q^4)/(q^4*(1 + q^2 + q^4)), 0}, {0, 0, q^(-6), q^2/(1 + q^4), q^2/(1 + q^2 + q^4), 0}, {0, 0, 0, 0, 0, -q^(-6)}}, {{-(1/(q^6*(1 + q^4))), 0, (1 + q^4 + q^8)/(q^4*(1 + q^4)^2), 0, 0, 0}, {0, 1/(q^8*(1 + q^2 + 2*q^4 + q^6 + q^8)), 0, (-1 - q^2 - q^4 - q^6 - q^8)/(q^4*(1 + q^4)^2*(1 + q^2 + q^4)), 0, (1 + q^2 + q^4 + q^6 + q^8)/(q^6*(1 + q^2 + q^4)^2)}, {q^(-4), 0, q^2/(1 + q^4), 0, 0, 0}, {0, -q^(-10), 0, (1 - q^2 + q^4)/(q^4*(1 + q^4)), 0, (1 + q^4)/(q^4*(1 + q^2 + q^4))}, {0, 0, 0, 0, -q^(-6), 0}, {0, q^(-6), 0, q^2/(1 + q^4), 0, q^2/(1 + q^2 + q^4)}}}, {{{q^2, 0, 0, 0, 0, 0}, {0, -q^6, 0, 0, 0, 0}, {0, 0, q^2, 0, 0, 0}, {0, 0, 0, -q^6, 0, 0}, {0, 0, 0, 0, q^8, 0}, {0, 0, 0, 0, 0, -q^6}}, {{-(q^10/(1 + q^4)), (q^4*(1 + q^4 + q^8))/(1 + q^4)^2, 0, 0, 0, 0}, {q^4, q^2/(1 + q^4), 0, 0, 0, 0}, {0, 0, q^16/(1 + q^2 + 2*q^4 + q^6 + q^8), -((q^12*(1 + q^2 + q^4 + q^6 + q^8))/((1 + q^4)^2*(1 + q^2 + q^4))), (q^6*(1 + q^2 + q^4 + q^6 + q^8))/(1 + q^2 + q^4)^2, 0}, {0, 0, -q^6, (q^4*(1 - q^2 + q^4))/(1 + q^4), (1 + q^4)/(1 + q^2 + q^4), 0}, {0, 0, q^6, q^6/(1 + q^4), q^2/(1 + q^2 + q^4), 0}, {0, 0, 0, 0, 0, -q^6}}, {{-(q^10/(1 + q^4)), 0, (q^4*(1 - q^2 + q^4)*(1 + q^2 + q^4))/(1 + q^4)^2, 0, 0, 0}, {0, q^16/(1 + q^2 + 2*q^4 + q^6 + q^8), 0, -((q^12*(1 + q^2 + q^4 + q^6 + q^8))/((1 + q^4)^2*(1 + q^2 + q^4))), 0, (q^6*(1 + q^2 + q^4 + q^6 + q^8))/(1 + q^2 + q^4)^2}, {q^4, 0, q^2/(1 + q^4), 0, 0, 0}, {0, -q^6, 0, (q^4*(1 - q^2 + q^4))/(1 + q^4), 0, (1 + q^4)/(1 + q^2 + q^4)}, {0, 0, 0, 0, -q^6, 0}, {0, q^6, 0, q^6/(1 + q^4), 0, q^2/(1 + q^2 + q^4)}}}}}, {1, {{{{q^(-2), 0, 0}, {0, -q^(-6), 0}, {0, 0, q^(-8)}}, {{1/(q^8*(1 + q^2 + 2*q^4 + q^6 + q^8)), (-1 - q^2 - q^4 - q^6 - q^8)/(q^4*(1 + q^4)^2*(1 + q^2 + q^4)), (1 + q^2 + q^4 + q^6 + q^8)/(q^6*(1 + q^2 + q^4)^2)}, {-q^(-10), (1 - q^2 + q^4)/(q^4*(1 + q^4)), (1 + q^4)/(q^4*(1 + q^2 + q^4))}, {q^(-6), q^2/(1 + q^4), q^2/(1 + q^2 + q^4)}}, {{q^(-2), 0, 0}, {0, -q^(-6), 0}, {0, 0, q^(-8)}}}, {{{q^2, 0, 0}, {0, -q^6, 0}, {0, 0, q^8}}, {{q^16/(1 + q^2 + 2*q^4 + q^6 + q^8), -((q^12*(1 + q^2 + q^4 + q^6 + q^8))/((1 + q^4)^2*(1 + q^2 + q^4))), (q^6*(1 + q^2 + q^4 + q^6 + q^8))/(1 + q^2 + q^4)^2}, {-q^6, (q^4*(1 - q^2 + q^4))/(1 + q^4), (1 + q^4)/(1 + q^2 + q^4)}, {q^6, q^6/(1 + q^4), q^2/(1 + q^2 + q^4)}}, {{q^2, 0, 0}, {0, -q^6, 0}, {0, 0, q^8}}}}}}

Latest revision as of 21:37, 21 June 2006

{{1 + q^(-8) + q^(-6) + q^(-4) + q^(-2) + q^2 + q^4 + q^6 + q^8, {{Template:Q^(-2), Template:Q^(-2), Template:Q^(-2)}, {Template:Q^2, Template:Q^2, Template:Q^2}}}, {1 + q^(-6) + q^(-4) + q^(-2) + q^2 + q^4 + q^6, {{{{q^(-2), 0, 0}, {0, q^(-2), 0}, {0, 0, -q^(-6)}}, {{q^(-2), 0, 0}, {0, -(1/(q^6*(1 + q^4))), (1 + q^4 + q^8)/(q^4*(1 + q^4)^2)}, {0, q^(-4), q^2/(1 + q^4)}}, {{-(1/(q^6*(1 + q^4 + q^8))), (1 + 2*q^4 + 2*q^8 + 2*q^12 + q^16)/(q^4*(1 + q^4 + q^8)^2), 0}, {q^(-4), q^6/(1 + q^4 + q^8), 0}, {0, 0, q^(-2)}}}, {{{q^2, 0, 0}, {0, q^2, 0}, {0, 0, -q^6}}, {{q^2, 0, 0}, {0, -(q^10/(1 + q^4)), (q^4*(1 + q^4 + q^8))/(1 + q^4)^2}, {0, q^4, q^2/(1 + q^4)}}, {{-(q^14/(1 + q^4 + q^8)), (q^4*(1 + 2*q^4 + 2*q^8 + 2*q^12 + q^16))/(1 + q^4 + q^8)^2, 0}, {q^4, q^2/(1 + q^4 + q^8), 0}, {0, 0, q^2}}}}}, {1 + q^(-4) + q^(-2) + q^2 + q^4, {{{{q^(-2), 0, 0, 0, 0, 0}, {0, q^(-2), 0, 0, 0, 0}, {0, 0, -q^(-6), 0, 0, 0}, {0, 0, 0, q^(-2), 0, 0}, {0, 0, 0, 0, -q^(-6), 0}, {0, 0, 0, 0, 0, q^(-8)}}, {{q^(-2), 0, 0, 0, 0, 0}, {0, -(1/(q^6*(1 + q^4))), (1 + q^4 + q^8)/(q^4*(1 + q^4)^2), 0, 0, 0}, {0, q^(-4), q^2/(1 + q^4), 0, 0, 0}, {0, 0, 0, 1/(q^8*(1 + q^2 + 2*q^4 + q^6 + q^8)), (-1 - q^2 - q^4 - q^6 - q^8)/(q^4*(1 + q^4)^2*(1 + q^2 + q^4)), (1 + q^2 + q^4 + q^6 + q^8)/(q^6*(1 + q^2 + q^4)^2)}, {0, 0, 0, -q^(-10), (1 - q^2 + q^4)/(q^4*(1 + q^4)), (1 + q^4)/(q^4*(1 + q^2 + q^4))}, {0, 0, 0, q^(-6), q^2/(1 + q^4), q^2/(1 + q^2 + q^4)}}, {{1/(q^8*(1 + q^2 + 2*q^4 + 2*q^6 + 3*q^8 + 2*q^10 + 2*q^12 + q^14 + q^16)), (-1 - q^2 - 2*q^4 - 2*q^6 - 2*q^8 - 2*q^10 - 2*q^12 - q^14 - q^16)/(q^4*(1 + q^4 + q^8)^2*(1 + q^2 + q^4 + q^6 + q^8)), 0, (1 + 2*q^2 + 3*q^4 + 3*q^6 + 3*q^8 + 3*q^10 + 3*q^12 + 2*q^14 + q^16)/(q^6*(1 + q^2 + q^4 + q^6 + q^8)^2), 0, 0}, {-(1/(q^10*(1 + q^4))), (1 + 2*q^4 - q^6 + 2*q^8 + q^12)/(q^4*(1 + 2*q^4 + 2*q^8 + q^12)), 0, (1 + q^2 + 2*q^4 + q^6 + 2*q^8 + q^10 + q^12)/((1 + q^4)^2*(1 + q^2 + q^4 + q^6 + q^8)), 0, 0}, {0, 0, -(1/(q^6*(1 + q^4))), 0, (1 + q^4 + q^8)/(q^4*(1 + q^4)^2), 0}, {q^(-6), q^6/(1 + q^4 + q^8), 0, q^10/(1 + q^2 + 2*q^4 + 2*q^6 + 2*q^8 + q^10 + q^12), 0, 0}, {0, 0, q^(-4), 0, q^2/(1 + q^4), 0}, {0, 0, 0, 0, 0, q^(-2)}}}, {{{q^2, 0, 0, 0, 0, 0}, {0, q^2, 0, 0, 0, 0}, {0, 0, -q^6, 0, 0, 0}, {0, 0, 0, q^2, 0, 0}, {0, 0, 0, 0, -q^6, 0}, {0, 0, 0, 0, 0, q^8}}, {{q^2, 0, 0, 0, 0, 0}, {0, -(q^10/(1 + q^4)), (q^4*(1 + q^4 + q^8))/(1 + q^4)^2, 0, 0, 0}, {0, q^4, q^2/(1 + q^4), 0, 0, 0}, {0, 0, 0, q^16/(1 + q^2 + 2*q^4 + q^6 + q^8), -((q^12*(1 + q^2 + q^4 + q^6 + q^8))/((1 + q^4)^2*(1 + q^2 + q^4))), (q^6*(1 + q^2 + q^4 + q^6 + q^8))/(1 + q^2 + q^4)^2}, {0, 0, 0, -q^6, (q^4*(1 - q^2 + q^4))/(1 + q^4), (1 + q^4)/(1 + q^2 + q^4)}, {0, 0, 0, q^6, q^6/(1 + q^4), q^2/(1 + q^2 + q^4)}}, {{q^24/(1 + q^2 + 2*q^4 + 2*q^6 + 3*q^8 + 2*q^10 + 2*q^12 + q^14 + q^16), -((q^16*(1 + q^4)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))/((1 + q^4 + q^8)^2*(1 + q^2 + q^4 + q^6 + q^8))), 0, (q^6*(1 + 2*q^2 + 3*q^4 + 3*q^6 + 3*q^8 + 3*q^10 + 3*q^12 + 2*q^14 + q^16))/(1 + q^2 + q^4 + q^6 + q^8)^2, 0, 0}, {-(q^10/(1 + q^4)), (q^4*(1 + 2*q^4 - q^6 + 2*q^8 + q^12))/(1 + 2*q^4 + 2*q^8 + q^12), 0, (1 + q^2 + 2*q^4 + q^6 + 2*q^8 + q^10 + q^12)/((1 + q^4)^2*(1 + q^2 + q^4 + q^6 + q^8)), 0, 0}, {0, 0, -(q^10/(1 + q^4)), 0, (q^4*(1 + q^4 + q^8))/(1 + q^4)^2, 0}, {q^6, q^6/(1 + q^4 + q^8), 0, q^2/(1 + q^2 + 2*q^4 + 2*q^6 + 2*q^8 + q^10 + q^12), 0, 0}, {0, 0, q^4, 0, q^2/(1 + q^4), 0}, {0, 0, 0, 0, 0, q^2}}}}}, {1 + q^(-2) + q^2, {{{{q^(-2), 0, 0, 0, 0, 0}, {0, -q^(-6), 0, 0, 0, 0}, {0, 0, q^(-2), 0, 0, 0}, {0, 0, 0, -q^(-6), 0, 0}, {0, 0, 0, 0, q^(-8), 0}, {0, 0, 0, 0, 0, -q^(-6)}}, {{-(1/(q^6*(1 + q^4))), (1 + q^4 + q^8)/(q^4*(1 + q^4)^2), 0, 0, 0, 0}, {q^(-4), q^2/(1 + q^4), 0, 0, 0, 0}, {0, 0, 1/(q^8*(1 + q^2 + 2*q^4 + q^6 + q^8)), (-1 - q^2 - q^4 - q^6 - q^8)/(q^4*(1 + q^4)^2*(1 + q^2 + q^4)), (1 + q^2 + q^4 + q^6 + q^8)/(q^6*(1 + q^2 + q^4)^2), 0}, {0, 0, -q^(-10), (1 - q^2 + q^4)/(q^4*(1 + q^4)), (1 + q^4)/(q^4*(1 + q^2 + q^4)), 0}, {0, 0, q^(-6), q^2/(1 + q^4), q^2/(1 + q^2 + q^4), 0}, {0, 0, 0, 0, 0, -q^(-6)}}, {{-(1/(q^6*(1 + q^4))), 0, (1 + q^4 + q^8)/(q^4*(1 + q^4)^2), 0, 0, 0}, {0, 1/(q^8*(1 + q^2 + 2*q^4 + q^6 + q^8)), 0, (-1 - q^2 - q^4 - q^6 - q^8)/(q^4*(1 + q^4)^2*(1 + q^2 + q^4)), 0, (1 + q^2 + q^4 + q^6 + q^8)/(q^6*(1 + q^2 + q^4)^2)}, {q^(-4), 0, q^2/(1 + q^4), 0, 0, 0}, {0, -q^(-10), 0, (1 - q^2 + q^4)/(q^4*(1 + q^4)), 0, (1 + q^4)/(q^4*(1 + q^2 + q^4))}, {0, 0, 0, 0, -q^(-6), 0}, {0, q^(-6), 0, q^2/(1 + q^4), 0, q^2/(1 + q^2 + q^4)}}}, {{{q^2, 0, 0, 0, 0, 0}, {0, -q^6, 0, 0, 0, 0}, {0, 0, q^2, 0, 0, 0}, {0, 0, 0, -q^6, 0, 0}, {0, 0, 0, 0, q^8, 0}, {0, 0, 0, 0, 0, -q^6}}, {{-(q^10/(1 + q^4)), (q^4*(1 + q^4 + q^8))/(1 + q^4)^2, 0, 0, 0, 0}, {q^4, q^2/(1 + q^4), 0, 0, 0, 0}, {0, 0, q^16/(1 + q^2 + 2*q^4 + q^6 + q^8), -((q^12*(1 + q^2 + q^4 + q^6 + q^8))/((1 + q^4)^2*(1 + q^2 + q^4))), (q^6*(1 + q^2 + q^4 + q^6 + q^8))/(1 + q^2 + q^4)^2, 0}, {0, 0, -q^6, (q^4*(1 - q^2 + q^4))/(1 + q^4), (1 + q^4)/(1 + q^2 + q^4), 0}, {0, 0, q^6, q^6/(1 + q^4), q^2/(1 + q^2 + q^4), 0}, {0, 0, 0, 0, 0, -q^6}}, {{-(q^10/(1 + q^4)), 0, (q^4*(1 - q^2 + q^4)*(1 + q^2 + q^4))/(1 + q^4)^2, 0, 0, 0}, {0, q^16/(1 + q^2 + 2*q^4 + q^6 + q^8), 0, -((q^12*(1 + q^2 + q^4 + q^6 + q^8))/((1 + q^4)^2*(1 + q^2 + q^4))), 0, (q^6*(1 + q^2 + q^4 + q^6 + q^8))/(1 + q^2 + q^4)^2}, {q^4, 0, q^2/(1 + q^4), 0, 0, 0}, {0, -q^6, 0, (q^4*(1 - q^2 + q^4))/(1 + q^4), 0, (1 + q^4)/(1 + q^2 + q^4)}, {0, 0, 0, 0, -q^6, 0}, {0, q^6, 0, q^6/(1 + q^4), 0, q^2/(1 + q^2 + q^4)}}}}}, {1, {{{{q^(-2), 0, 0}, {0, -q^(-6), 0}, {0, 0, q^(-8)}}, {{1/(q^8*(1 + q^2 + 2*q^4 + q^6 + q^8)), (-1 - q^2 - q^4 - q^6 - q^8)/(q^4*(1 + q^4)^2*(1 + q^2 + q^4)), (1 + q^2 + q^4 + q^6 + q^8)/(q^6*(1 + q^2 + q^4)^2)}, {-q^(-10), (1 - q^2 + q^4)/(q^4*(1 + q^4)), (1 + q^4)/(q^4*(1 + q^2 + q^4))}, {q^(-6), q^2/(1 + q^4), q^2/(1 + q^2 + q^4)}}, {{q^(-2), 0, 0}, {0, -q^(-6), 0}, {0, 0, q^(-8)}}}, {{{q^2, 0, 0}, {0, -q^6, 0}, {0, 0, q^8}}, {{q^16/(1 + q^2 + 2*q^4 + q^6 + q^8), -((q^12*(1 + q^2 + q^4 + q^6 + q^8))/((1 + q^4)^2*(1 + q^2 + q^4))), (q^6*(1 + q^2 + q^4 + q^6 + q^8))/(1 + q^2 + q^4)^2}, {-q^6, (q^4*(1 - q^2 + q^4))/(1 + q^4), (1 + q^4)/(1 + q^2 + q^4)}, {q^6, q^6/(1 + q^4), q^2/(1 + q^2 + q^4)}}, {{q^2, 0, 0}, {0, -q^6, 0}, {0, 0, q^8}}}}}}

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