Data:Braiding/A 1/1/5: Difference between revisions

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{{q^(-1) + q, {{{{q^(-1), 0, -q^(-5), 0, -q^(-4)}, {0, q^(-1), -q^(-4), 0, 0}, {0, 0, -q^(-3), 0, 0}, {0, 0, 0, q^(-1), -q^(-4)}, {0, 0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0, 0}, {0, 0, q^(-2), 0, 0}, {0, q^(-2), -((1 - q^2)/q^3), 0, 0}, {0, 0, 0, 0, q^(-2)}, {0, 0, 0, q^(-2), -((1 - q^2)/q^3)}}, {{0, q^(-2), 0, 0, -q^(-6)}, {q^(-2), -((1 - q^2)/q^3), 0, 0, -q^(-5)}, {0, 0, q^(-1), 0, -q^(-4)}, {0, 0, 0, q^(-1), -q^(-4)}, {0, 0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0, 0}, {0, 0, 0, q^(-2), 0}, {0, 0, 0, 0, q^(-2)}, {0, q^(-2), 0, -((1 - q^2)/q^3), 0}, {0, 0, q^(-2), 0, -((1 - q^2)/q^3)}}}, {{{q, 0, -q^(-1), 0, -1}, {0, q, -1, 0, 0}, {0, 0, -q^3, 0, 0}, {0, 0, 0, q, -1}, {0, 0, 0, 0, -q^3}}, {{q, 0, 0, 0, 0}, {0, q - q^3, q^2, 0, 0}, {0, q^2, 0, 0, 0}, {0, 0, 0, q - q^3, q^2}, {0, 0, 0, q^2, 0}}, {{q - q^3, q^2, 0, 0, -q^(-2)}, {q^2, 0, 0, 0, -q^(-1)}, {0, 0, q, 0, -1}, {0, 0, 0, q, -1}, {0, 0, 0, 0, -q^3}}, {{q, 0, 0, 0, 0}, {0, q - q^3, 0, q^2, 0}, {0, 0, q - q^3, 0, q^2}, {0, q^2, 0, 0, 0}, {0, 0, q^2, 0, 0}}}}}, {q^(-3) + q^(-1) + q + q^3, {{{{q^(-1), 0, 0, -q^(-6)}, {0, q^(-1), 0, -q^(-5)}, {0, 0, q^(-1), -q^(-4)}, {0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0}, {0, q^(-1), 0, 0}, {0, 0, 0, q^(-2)}, {0, 0, q^(-2), -((1 - q^2)/q^3)}}, {{q^(-1), 0, 0, 0}, {0, 0, q^(-2), 0}, {0, q^(-2), -((1 - q^2)/q^3), 0}, {0, 0, 0, q^(-1)}}, {{0, q^(-2), 0, 0}, {q^(-2), -((1 - q^2)/q^3), 0, 0}, {0, 0, q^(-1), 0}, {0, 0, 0, q^(-1)}}}, {{{q, 0, 0, -q^(-2)}, {0, q, 0, -q^(-1)}, {0, 0, q, -1}, {0, 0, 0, -q^3}}, {{q, 0, 0, 0}, {0, q, 0, 0}, {0, 0, q - q^3, q^2}, {0, 0, q^2, 0}}, {{q, 0, 0, 0}, {0, q - q^3, q^2, 0}, {0, q^2, 0, 0}, {0, 0, 0, q}}, {{q - q^3, q^2, 0, 0}, {q^2, 0, 0, 0}, {0, 0, q, 0}, {0, 0, 0, q}}}}}, {q^(-5) + q^(-3) + q^(-1) + q + q^3 + q^5, {{{{q^(-1)}}, {{q^(-1)}}, {{q^(-1)}}, {{q^(-1)}}}, {{{q}}, {{q}}, {{q}}, {{q}}}}}}
{{q^(-5) + q^(-3) + q^(-1) + q + q^3 + q^5, {{{{q^(-1)}}, {{q^(-1)}}, {{q^(-1)}}, {{q^(-1)}}}, {{{q}}, {{q}}, {{q}}, {{q}}}}}, {q^(-3) + q^(-1) + q + q^3, {{{{q^(-1), 0, 0, 0}, {0, q^(-1), 0, 0}, {0, 0, q^(-1), 0}, {0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0}, {0, q^(-1), 0, 0}, {0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2)}, {0, 0, q^(-2), q/(1 + q^2)}}, {{q^(-1), 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, q^(-2), q^3/(1 + q^2 + q^4), 0}, {0, 0, 0, q^(-1)}}, {{-(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}, {q^(-2), q^5/(1 + q^2 + q^4 + q^6), 0, 0}, {0, 0, q^(-1), 0}, {0, 0, 0, q^(-1)}}}, {{{q, 0, 0, 0}, {0, q, 0, 0}, {0, 0, q, 0}, {0, 0, 0, -q^3}}, {{q, 0, 0, 0}, {0, q, 0, 0}, {0, 0, -(q^5/(1 + q^2)), (q^2*(1 + q^2 + q^4))/(1 + q^2)^2}, {0, 0, q^2, q/(1 + q^2)}}, {{q, 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, q^2, q/(1 + q^2 + q^4), 0}, {0, 0, 0, q}}, {{-(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}, {q^2, q/(1 + q^2 + q^4 + q^6), 0, 0}, {0, 0, q, 0}, {0, 0, 0, q}}}}}, {q^(-1) + q, {{{{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, 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)}}}}}}

Latest revision as of 22:37, 21 June 2006

{{q^(-5) + q^(-3) + q^(-1) + q + q^3 + q^5, {{Template:Q^(-1), Template:Q^(-1), Template:Q^(-1), Template:Q^(-1)}, {Template:Q, Template:Q, Template:Q, Template:Q}}}, {q^(-3) + q^(-1) + q + q^3, {{{{q^(-1), 0, 0, 0}, {0, q^(-1), 0, 0}, {0, 0, q^(-1), 0}, {0, 0, 0, -q^(-3)}}, {{q^(-1), 0, 0, 0}, {0, q^(-1), 0, 0}, {0, 0, -(1/(q^3*(1 + q^2))), (1 + q^2 + q^4)/(q^2*(1 + q^2)^2)}, {0, 0, q^(-2), q/(1 + q^2)}}, {{q^(-1), 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, q^(-2), q^3/(1 + q^2 + q^4), 0}, {0, 0, 0, q^(-1)}}, {{-(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}, {q^(-2), q^5/(1 + q^2 + q^4 + q^6), 0, 0}, {0, 0, q^(-1), 0}, {0, 0, 0, q^(-1)}}}, {{{q, 0, 0, 0}, {0, q, 0, 0}, {0, 0, q, 0}, {0, 0, 0, -q^3}}, {{q, 0, 0, 0}, {0, q, 0, 0}, {0, 0, -(q^5/(1 + q^2)), (q^2*(1 + q^2 + q^4))/(1 + q^2)^2}, {0, 0, q^2, q/(1 + q^2)}}, {{q, 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, q^2, q/(1 + q^2 + q^4), 0}, {0, 0, 0, q}}, {{-(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}, {q^2, q/(1 + q^2 + q^4 + q^6), 0, 0}, {0, 0, q, 0}, {0, 0, 0, q}}}}}, {q^(-1) + q, {{{{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, 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)}}}}}}

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