Data:Braiding/A 1/1/6: Difference between revisions
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{{1 + q^(-6) + q^(-4) + q^(-2) + q^2 + q^4 + q^6, {{{{q^(-1)}}, {{q^(-1)}}, {{q^(-1)}}, {{q^(-1)}}, {{q^(-1)}}}, {{{q}}, {{q}}, {{q}}, {{q}}, {{q}}}}}, {1 + q^(-4) + q^(-2) + q^2 + q^4, {{{{q^(-1), 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0}, {0, 0, q^(-1), 0, 0}, {0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0}, {0, 0, q^(-1), 0, 0}, {0, 0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2)}, {0, 0, 0, q^(-2), q/(1 + q^2)}}, {{q^(-1), 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0}, {0, 0, -(1/(q^3*(1 + q^2 + q^4))), (1 + 2*q^2 + 2*q^4 + 2*q^6 + q^8)/(q^2*(1 + q^2 + q^4)^2), 0}, {0, 0, q^(-2), q^3/(1 + q^2 + q^4), 0}, {0, 0, 0, 0, q^(-1)}}, {{q^(-1), 0, 0, 0, 0}, {0, -(1/(q^3*(1 + q^2 + q^4 + q^6))), (1 + 2*q^2 + 3*q^4 + 3*q^6 + 3*q^8 + 2*q^10 + q^12)/(q^2*(1 + q^2 + q^4 + q^6)^2), 0, 0}, {0, q^(-2), q^5/(1 + q^2 + q^4 + q^6), 0, 0}, {0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, q^(-1)}}, {{-(1/(q^3*(1 + q^2 + q^4 + q^6 + q^8))), (1 + 2*q^2 + 3*q^4 + 4*q^6 + 4*q^8 + 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q/(1 + q^2 + q^4 + q^6 + q^8), 0, 0, 0}, {0, 0, q, 0, 0}, {0, 0, 0, q, 0}, {0, 0, 0, 0, q}}}}}, {1 + q^(-2) + q^2, {{{{q^(-1), 0, 0, 0, 0, 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0, 0, 0, 0, 0}, {0, 0, q^(-1), 0, 0, 0, 0, 0, 0}, {0, 0, 0, -q^(-3), 0, 0, 0, 0, 0}, {0, 0, 0, 0, q^(-1), 0, 0, 0, 0}, {0, 0, 0, 0, 0, q^(-1), 0, 0, 0}, {0, 0, 0, 0, 0, 0, -q^(-3), 0, 0}, {0, 0, 0, 0, 0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, 0, 0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0, 0, 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0, 0, 0, 0, 0}, {0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2), 0, 0, 0, 0, 0}, {0, 0, q^(-2), q/(1 + q^2), 0, 0, 0, 0, 0}, {0, 0, 0, 0, q^(-1), 0, 0, 0, 0}, {0, 0, 0, 0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2), 0, 0}, {0, 0, 0, 0, 0, q^(-2), q/(1 + q^2), 0, 0}, {0, 0, 0, 0, 0, 0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2)}, {0, 0, 0, 0, 0, 0, 0, q^(-2), q/(1 + q^2)}}, {{q^(-1), 0, 0, 0, 0, 0, 0, 0, 0}, {0, -(1/(q^3*(1 + q^2 + q^4))), (1 + 2*q^2 + 2*q^4 + 2*q^6 + 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-(1/(q^3*(1 + q^2 + q^4))), 0, 0, (1 + 2*q^2 + 2*q^4 + 2*q^6 + q^8)/(q^2*(1 + q^2 + q^4)^2), 0, 0, 0, 0}, {0, 0, -(1/(q^3*(1 + q^2 + q^4))), 0, 0, (1 + 2*q^2 + 2*q^4 + 2*q^6 + q^8)/(q^2*(1 + q^2 + q^4)^2), 0, 0, 0}, {0, 0, 0, -(1/(q^3*(1 + q^2 + q^4))), 0, 0, (1 + 2*q^2 + 2*q^4 + 2*q^6 + q^8)/(q^2*(1 + q^2 + q^4)^2), 0, 0}, {0, q^(-2), 0, 0, q^3/(1 + q^2 + q^4), 0, 0, 0, 0}, {0, 0, q^(-2), 0, 0, q^3/(1 + q^2 + q^4), 0, 0, 0}, {0, 0, 0, q^(-2), 0, 0, q^3/(1 + q^2 + q^4), 0, 0}, {0, 0, 0, 0, 0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, 0, 0, 0, 0, q^(-1)}}}, {{{q, 0, 0, 0, 0, 0, 0, 0, 0}, {0, q, 0, 0, 0, 0, 0, 0, 0}, {0, 0, q, 0, 0, 0, 0, 0, 0}, {0, 0, 0, -q^3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, q, 0, 0, 0, 0}, {0, 0, 0, 0, 0, q, 0, 0, 0}, {0, 0, 0, 0, 0, 0, -q^3, 0, 0}, {0, 0, 0, 0, 0, 0, 0, q, 0}, {0, 0, 0, 0, 0, 0, 0, 0, -q^3}}, {{q, 0, 0, 0, 0, 0, 0, 0, 0}, {0, q, 0, 0, 0, 0, 0, 0, 0}, {0, 0, -(q^5/(1 + q^2)), (q^2 + q^4 + q^6)/(1 + q^2)^2, 0, 0, 0, 0, 0}, {0, 0, q^2, q/(1 + q^2), 0, 0, 0, 0, 0}, {0, 0, 0, 0, q, 0, 0, 0, 0}, {0, 0, 0, 0, 0, -(q^5/(1 + q^2)), (q^2 + q^4 + q^6)/(1 + q^2)^2, 0, 0}, {0, 0, 0, 0, 0, q^2, q/(1 + q^2), 0, 0}, {0, 0, 0, 0, 0, 0, 0, -(q^5/(1 + q^2)), (q^2 + q^4 + q^6)/(1 + q^2)^2}, {0, 0, 0, 0, 0, 0, 0, q^2, q/(1 + q^2)}}, {{q, 0, 0, 0, 0, 0, 0, 0, 0}, {0, -(q^7/(1 + q^2 + q^4)), ((q + q^3)^2*(1 + q^4))/(1 + q^2 + q^4)^2, 0, 0, 0, 0, 0, 0}, {0, q^2, q/(1 + q^2 + q^4), 0, 0, 0, 0, 0, 0}, {0, 0, 0, q, 0, 0, 0, 0, 0}, {0, 0, 0, 0, -(q^7/(1 + q^2 + q^4)), ((q + q^3)^2*(1 + q^4))/(1 + q^2 + q^4)^2, 0, 0, 0}, {0, 0, 0, 0, q^2, q/(1 + q^2 + q^4), 0, 0, 0}, {0, 0, 0, 0, 0, 0, q, 0, 0}, {0, 0, 0, 0, 0, 0, 0, q, 0}, {0, 0, 0, 0, 0, 0, 0, 0, -q^3}}, {{-(q^9/(1 + q^2 + q^4 + q^6)), (q^2*(1 + 2*q^2 + 3*q^4 + 3*q^6 + 3*q^8 + 2*q^10 + q^12))/(1 + q^2 + q^4 + q^6)^2, 0, 0, 0, 0, 0, 0, 0}, {q^2, q/(1 + q^2 + q^4 + q^6), 0, 0, 0, 0, 0, 0, 0}, {0, 0, q, 0, 0, 0, 0, 0, 0}, {0, 0, 0, q, 0, 0, 0, 0, 0}, {0, 0, 0, 0, q, 0, 0, 0, 0}, {0, 0, 0, 0, 0, -(q^5/(1 + q^2)), 0, (q^2 + q^4 + q^6)/(1 + q^2)^2, 0}, {0, 0, 0, 0, 0, 0, -(q^5/(1 + q^2)), 0, (q^2 + q^4 + q^6)/(1 + q^2)^2}, {0, 0, 0, 0, 0, q^2, 0, q/(1 + q^2), 0}, {0, 0, 0, 0, 0, 0, q^2, 0, q/(1 + q^2)}}, {{q, 0, 0, 0, 0, 0, 0, 0, 0}, {0, -(q^7/(1 + q^2 + q^4)), 0, 0, ((q + q^3)^2*(1 + q^4))/(1 + q^2 + q^4)^2, 0, 0, 0, 0}, {0, 0, -(q^7/(1 + q^2 + q^4)), 0, 0, ((q + q^3)^2*(1 + q^4))/(1 + q^2 + q^4)^2, 0, 0, 0}, {0, 0, 0, -(q^7/(1 + q^2 + q^4)), 0, 0, ((q + q^3)^2*(1 + q^4))/(1 + q^2 + q^4)^2, 0, 0}, {0, q^2, 0, 0, q/(1 + q^2 + q^4), 0, 0, 0, 0}, {0, 0, q^2, 0, 0, q/(1 + q^2 + q^4), 0, 0, 0}, {0, 0, 0, q^2, 0, 0, q/(1 + q^2 + q^4), 0, 0}, {0, 0, 0, 0, 0, 0, 0, q, 0}, {0, 0, 0, 0, 0, 0, 0, 0, q}}}}}, {1, {{{{q^(-1), 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0}, {0, 0, -q^(-3), 0, 0}, {0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0, 0}, {0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2), 0, 0}, {0, q^(-2), q/(1 + q^2), 0, 0}, {0, 0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2)}, {0, 0, 0, q^(-2), q/(1 + q^2)}}, {{-(1/(q^3*(1 + q^2 + q^4))), (1 + 2*q^2 + 2*q^4 + 2*q^6 + q^8)/(q^2*(1 + q^2 + q^4)^2), 0, 0, 0}, {q^(-2), q^3/(1 + q^2 + q^4), 0, 0, 0}, {0, 0, q^(-1), 0, 0}, {0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0, 0}, {0, -(1/(q^3*(1 + q^2))), 0, (1 + q^2 + q^4)/(q^2*(1 + q^2)^2), 0}, {0, 0, -(1/(q^3*(1 + q^2))), 0, (1 + q^2 + q^4)/(q^2*(1 + q^2)^2)}, {0, q^(-2), 0, q/(1 + q^2), 0}, {0, 0, q^(-2), 0, q/(1 + q^2)}}, {{q^(-1), 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0}, {0, 0, q^(-1), 0, 0}, {0, 0, 0, -q^(-3), 0}, {0, 0, 0, 0, -q^(-3)}}}, {{{q, 0, 0, 0, 0}, {0, q, 0, 0, 0}, {0, 0, -q^3, 0, 0}, {0, 0, 0, q, 0}, {0, 0, 0, 0, -q^3}}, {{q, 0, 0, 0, 0}, {0, -(q^5/(1 + q^2)), (q^2*(1 + q^2 + q^4))/(1 + q^2)^2, 0, 0}, {0, q^2, q/(1 + q^2), 0, 0}, {0, 0, 0, -(q^5/(1 + q^2)), (q^2*(1 + q^2 + q^4))/(1 + q^2)^2}, {0, 0, 0, q^2, q/(1 + q^2)}}, {{-(q^7/(1 + q^2 + q^4)), (q^2*(1 + 2*q^2 + 2*q^4 + 2*q^6 + q^8))/(1 + q^2 + q^4)^2, 0, 0, 0}, {q^2, q/(1 + q^2 + q^4), 0, 0, 0}, {0, 0, q, 0, 0}, {0, 0, 0, q, 0}, {0, 0, 0, 0, -q^3}}, {{q, 0, 0, 0, 0}, {0, -(q^5/(1 + q^2)), 0, (q^2*(1 + q^2 + q^4))/(1 + q^2)^2, 0}, {0, 0, -(q^5/(1 + q^2)), 0, (q^2*(1 + q^2 + q^4))/(1 + q^2)^2}, {0, q^2, 0, q/(1 + q^2), 0}, {0, 0, q^2, 0, q/(1 + q^2)}}, {{q, 0, 0, 0, 0}, {0, q, 0, 0, 0}, {0, 0, q, 0, 0}, {0, 0, 0, -q^3, 0}, {0, 0, 0, 0, -q^3}}}}}} |
Latest revision as of 21:37, 21 June 2006
{{1 + q^(-6) + q^(-4) + q^(-2) + q^2 + q^4 + q^6, {{Template:Q^(-1), Template:Q^(-1), Template:Q^(-1), Template:Q^(-1), Template:Q^(-1)}, {Template:Q, Template:Q, Template:Q, Template:Q, Template:Q}}}, {1 + q^(-4) + q^(-2) + q^2 + q^4, {{{{q^(-1), 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0}, {0, 0, q^(-1), 0, 0}, {0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0}, {0, 0, q^(-1), 0, 0}, {0, 0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2)}, {0, 0, 0, q^(-2), q/(1 + q^2)}}, {{q^(-1), 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0}, {0, 0, -(1/(q^3*(1 + q^2 + q^4))), (1 + 2*q^2 + 2*q^4 + 2*q^6 + q^8)/(q^2*(1 + q^2 + q^4)^2), 0}, {0, 0, q^(-2), q^3/(1 + q^2 + q^4), 0}, {0, 0, 0, 0, q^(-1)}}, {{q^(-1), 0, 0, 0, 0}, {0, -(1/(q^3*(1 + q^2 + q^4 + q^6))), (1 + 2*q^2 + 3*q^4 + 3*q^6 + 3*q^8 + 2*q^10 + q^12)/(q^2*(1 + q^2 + q^4 + q^6)^2), 0, 0}, {0, q^(-2), q^5/(1 + q^2 + q^4 + q^6), 0, 0}, {0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, q^(-1)}}, {{-(1/(q^3*(1 + q^2 + q^4 + q^6 + q^8))), (1 + 2*q^2 + 3*q^4 + 4*q^6 + 4*q^8 + 4*q^10 + 3*q^12 + 2*q^14 + q^16)/(q^2*(1 + q^2 + q^4 + q^6 + q^8)^2), 0, 0, 0}, {q^(-2), q^7/(1 + q^2 + q^4 + q^6 + q^8), 0, 0, 0}, {0, 0, q^(-1), 0, 0}, {0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, q^(-1)}}}, {{{q, 0, 0, 0, 0}, {0, q, 0, 0, 0}, {0, 0, q, 0, 0}, {0, 0, 0, q, 0}, {0, 0, 0, 0, -q^3}}, {{q, 0, 0, 0, 0}, {0, q, 0, 0, 0}, {0, 0, q, 0, 0}, {0, 0, 0, -(q^5/(1 + q^2)), (q^2*(1 + q^2 + q^4))/(1 + q^2)^2}, {0, 0, 0, q^2, q/(1 + q^2)}}, {{q, 0, 0, 0, 0}, {0, q, 0, 0, 0}, {0, 0, -(q^7/(1 + q^2 + q^4)), (q^2*(1 + 2*q^2 + 2*q^4 + 2*q^6 + q^8))/(1 + q^2 + q^4)^2, 0}, {0, 0, q^2, q/(1 + q^2 + q^4), 0}, {0, 0, 0, 0, q}}, {{q, 0, 0, 0, 0}, {0, -(q^9/(1 + q^2 + q^4 + q^6)), (q^2*(1 + 2*q^2 + 3*q^4 + 3*q^6 + 3*q^8 + 2*q^10 + q^12))/(1 + q^2 + q^4 + q^6)^2, 0, 0}, {0, q^2, q/(1 + q^2 + q^4 + q^6), 0, 0}, {0, 0, 0, q, 0}, {0, 0, 0, 0, q}}, {{-(q^11/(1 + q^2 + q^4 + q^6 + q^8)), (q^2*(1 + 2*q^2 + 3*q^4 + 4*q^6 + 4*q^8 + 4*q^10 + 3*q^12 + 2*q^14 + q^16))/(1 + q^2 + q^4 + q^6 + q^8)^2, 0, 0, 0}, {q^2, q/(1 + q^2 + q^4 + q^6 + q^8), 0, 0, 0}, {0, 0, q, 0, 0}, {0, 0, 0, q, 0}, {0, 0, 0, 0, q}}}}}, {1 + q^(-2) + q^2, {{{{q^(-1), 0, 0, 0, 0, 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0, 0, 0, 0, 0}, {0, 0, q^(-1), 0, 0, 0, 0, 0, 0}, {0, 0, 0, -q^(-3), 0, 0, 0, 0, 0}, {0, 0, 0, 0, q^(-1), 0, 0, 0, 0}, {0, 0, 0, 0, 0, q^(-1), 0, 0, 0}, {0, 0, 0, 0, 0, 0, -q^(-3), 0, 0}, {0, 0, 0, 0, 0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, 0, 0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0, 0, 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0, 0, 0, 0, 0}, {0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2), 0, 0, 0, 0, 0}, {0, 0, q^(-2), q/(1 + q^2), 0, 0, 0, 0, 0}, {0, 0, 0, 0, q^(-1), 0, 0, 0, 0}, {0, 0, 0, 0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2), 0, 0}, {0, 0, 0, 0, 0, q^(-2), q/(1 + q^2), 0, 0}, {0, 0, 0, 0, 0, 0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2)}, {0, 0, 0, 0, 0, 0, 0, q^(-2), q/(1 + q^2)}}, {{q^(-1), 0, 0, 0, 0, 0, 0, 0, 0}, {0, -(1/(q^3*(1 + 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+ q^2 + q^4)/(q^2*(1 + q^2)^2)}, {0, 0, 0, q^(-2), q/(1 + q^2)}}, {{-(1/(q^3*(1 + q^2 + q^4))), (1 + 2*q^2 + 2*q^4 + 2*q^6 + q^8)/(q^2*(1 + q^2 + q^4)^2), 0, 0, 0}, {q^(-2), q^3/(1 + q^2 + q^4), 0, 0, 0}, {0, 0, q^(-1), 0, 0}, {0, 0, 0, q^(-1), 0}, {0, 0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0, 0}, {0, -(1/(q^3*(1 + q^2))), 0, (1 + q^2 + q^4)/(q^2*(1 + q^2)^2), 0}, {0, 0, -(1/(q^3*(1 + q^2))), 0, (1 + q^2 + q^4)/(q^2*(1 + q^2)^2)}, {0, q^(-2), 0, q/(1 + q^2), 0}, {0, 0, q^(-2), 0, q/(1 + q^2)}}, {{q^(-1), 0, 0, 0, 0}, {0, q^(-1), 0, 0, 0}, {0, 0, q^(-1), 0, 0}, {0, 0, 0, -q^(-3), 0}, {0, 0, 0, 0, -q^(-3)}}}, {{{q, 0, 0, 0, 0}, {0, q, 0, 0, 0}, {0, 0, -q^3, 0, 0}, {0, 0, 0, q, 0}, {0, 0, 0, 0, -q^3}}, {{q, 0, 0, 0, 0}, {0, -(q^5/(1 + q^2)), (q^2*(1 + q^2 + q^4))/(1 + q^2)^2, 0, 0}, {0, q^2, q/(1 + q^2), 0, 0}, {0, 0, 0, -(q^5/(1 + q^2)), (q^2*(1 + q^2 + q^4))/(1 + q^2)^2}, {0, 0, 0, q^2, q/(1 + q^2)}}, {{-(q^7/(1 + q^2 + q^4)), (q^2*(1 + 2*q^2 + 2*q^4 + 2*q^6 + q^8))/(1 + q^2 + q^4)^2, 0, 0, 0}, {q^2, q/(1 + q^2 + q^4), 0, 0, 0}, {0, 0, q, 0, 0}, {0, 0, 0, q, 0}, {0, 0, 0, 0, -q^3}}, {{q, 0, 0, 0, 0}, {0, -(q^5/(1 + q^2)), 0, (q^2*(1 + q^2 + q^4))/(1 + q^2)^2, 0}, {0, 0, -(q^5/(1 + q^2)), 0, (q^2*(1 + q^2 + q^4))/(1 + q^2)^2}, {0, q^2, 0, q/(1 + q^2), 0}, {0, 0, q^2, 0, q/(1 + q^2)}}, {{q, 0, 0, 0, 0}, {0, q, 0, 0, 0}, {0, 0, q, 0, 0}, {0, 0, 0, -q^3, 0}, {0, 0, 0, 0, -q^3}}}}}}