Data:Braiding/G 2/1,0/3: Difference between revisions
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{{1, {{{{-q^(-18)}}, {{-q^(-18)}}}, {{{-q^18}}, {{-q^18}}}}}, { |
{{1, {{{{-q^(-18)}}, {{-q^(-18)}}}, {{{-q^18}}, {{-q^18}}}}}, {1 + q^(-10) + q^(-8) + q^(-2) + q^2 + q^8 + q^10, {{{{q^(-24), 0, 0, 0}, {0, -q^(-18), 0, 0}, {0, 0, -q^(-12), 0}, {0, 0, 0, q^(-10)}}, {{q^10/((1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)), 1/((1 + q^2 + q^4)*(1 + q^8)), -(1/(q^5*(1 + 2*q^2 + q^4 - q^6 - q^8 + q^10 + 2*q^12 + q^14))), -(1/(q^7*(1 + 2*q^2 + 2*q^4 + 2*q^6 + 2*q^8 + 2*q^10 + 2*q^12 + q^14)))}, {((1 + q^2 + q^4)*(1 + q^8))/(q^2*(1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)), (-1 + q^2 - q^4)/(q^10*(1 + q^8)), -(1/(q^13*(1 + q^2 - q^4 - q^6 + q^8 + q^10))), 1/(q^13*(1 + 2*q^2 + 2*q^4 + 2*q^6 + 2*q^8 + 2*q^10 + 2*q^12 + q^14))}, {-(((1 + q^8)*(1 + q^2 + q^10 + q^12 + q^20 + q^22))/(q^17*(1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))), (-1 + q^4 - q^6 - q^12 + q^14 - q^18)/(q^23*(1 + q^8)), (1 - 2*q^2 + q^4)/(q^22*(1 - q^4 + q^8)), (-1 + q^2 - q^4)/(q^22*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))}, {(-1 - 2*q^2 - 3*q^4 - 3*q^6 - 3*q^8 - 4*q^10 - 4*q^12 - 4*q^14 - 3*q^16 - 3*q^18 - 4*q^20 - 4*q^22 - 4*q^24 - 3*q^26 - 3*q^28 - 3*q^30 - 2*q^32 - q^34)/(q^21*(1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)), (1 + q^6 + q^10 + q^16 + q^20 + q^26)/(q^25*(1 + q^8)^2), -(((1 + q^2 + q^4)*(1 - 2*q^2 + 3*q^4 - 2*q^6 + q^8))/(q^24*(1 + q^8)*(1 - q^4 + q^8))), (1 + 2*q^4 - q^6 + 2*q^8 + q^12)/(q^24*(1 + q^2 + q^4 + q^6 + 2*q^8 + 2*q^10 + 2*q^12 + q^14 + q^16 + q^18 + q^20))}}}, {{{q^24, 0, 0, 0}, {0, -q^18, 0, 0}, {0, 0, -q^12, 0}, {0, 0, 0, q^10}}, {{q^10/((1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)), q^12/((1 + q^2 + q^4)*(1 + q^8)), -(q^19/((1 + q^2)*(1 + q^2 + q^4)*(1 - q^4 + q^8))), -(q^21/((1 + q^2)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)))}, {(q^10*(1 + q^2 + q^4 + q^8 + q^10 + q^12))/((1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)), -((q^14*(1 - q^2 + q^4))/(1 + q^8)), -(q^23/((1 + q^2)*(1 - q^4 + q^8))), q^27/((1 + q^2)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))}, {-((q^7*(1 + q^8)*(1 + q^2 + q^10 + q^12 + q^20 + q^22))/((1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))), -((q^13*(1 - q^4 + q^6 + q^12 - q^14 + q^18))/(1 + q^8)), (q^26*(1 - 2*q^2 + q^4))/(1 - q^4 + q^8), -((q^30*(1 - q^2 + q^4))/(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))}, {-((q^7*(1 + 2*q^2 + 3*q^4 + 3*q^6 + 3*q^8 + 4*q^10 + 4*q^12 + 4*q^14 + 3*q^16 + 3*q^18 + 4*q^20 + 4*q^22 + 4*q^24 + 3*q^26 + 3*q^28 + 3*q^30 + 2*q^32 + q^34))/((1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))), (q^15*(1 + q^6 + q^10 + q^16 + q^20 + q^26))/(1 + q^8)^2, -((q^28*(1 - q^2 + 2*q^4 - q^6 + 2*q^8 - q^10 + q^12))/((1 + q^8)*(1 - q^4 + q^8))), (q^32*(1 + 2*q^4 - q^6 + 2*q^8 + q^12))/((1 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))}}}}}, {2 + q^(-18) + q^(-12) + q^(-10) + q^(-8) + q^(-6) + q^(-2) + q^2 + q^6 + q^8 + q^10 + q^12 + q^18, {{{{-q^(-18), 0}, {0, q^(-10)}}, {{1/(q^2*(1 + q^8)), (-1 - q^2 - q^4)/(q^11*(1 + q^2 + q^8 + q^10))}, {(-1 + q^4 - q^6 - q^8 + q^10 - q^14)/(q^17*(1 + q^8)), -(1/(q^18*(1 + q^8)))}}}, {{{-q^18, 0}, {0, q^10}}, {{q^10/(1 + q^8), -((q^17*(1 + q^2 + q^4))/(1 + q^2 + q^8 + q^10))}, {-((q^11*(1 - q^4 + q^6 + q^8 - q^10 + q^14))/(1 + q^8)), -(q^26/(1 + q^8))}}}}}, {3 + q^(-20) + q^(-18) + q^(-16) + q^(-12) + 2/q^10 + 2/q^8 + q^(-6) + q^(-4) + 2/q^2 + 2*q^2 + q^4 + q^6 + 2*q^8 + 2*q^10 + q^12 + q^16 + q^18 + q^20, {{{{-q^(-18), 0, 0}, {0, -q^(-12), 0}, {0, 0, q^(-10)}}, {{q^2/((1 + q^2 + q^4)*(1 + q^8)), 1/(q^8*(1 + q^2 + q^4)), -(1/(q^7*(1 + q^2 + q^8 + q^10)))}, {(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)/(q^10*(1 + q^2 + q^4)*(1 + q^8)), (-1 - q^4)/(q^16*(1 + q^2 + q^4)), -(1/(q^13*(1 + q^2 + q^8 + q^10)))}, {(-1 - q^6)/q^13 - (-1 - q^10)/(q^21*(1 + q^2 + q^4)) - ((-1 + q^2 - q^4)*(-q^10 - q^16))/(q^31*(1 + q^8)), (-1 - q^10)/(q^21*(1 + q^2 + q^4)), (-1 + q^2 - q^4)/(q^18*(1 + q^8))}}}, {{{-q^18, 0, 0}, {0, -q^12, 0}, {0, 0, q^10}}, {{q^10/(1 + q^2 + q^4 + q^8 + q^10 + q^12), q^12/(1 + q^2 + q^4), -(q^17/((1 + q^2)*(1 + q^8)))}, {(q^10*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))/((1 + q^2 + q^4)*(1 + q^8)), -((q^16*(1 + q^4))/(1 + q^2 + q^4)), -(q^23/((1 + q^2)*(1 + q^8)))}, {-((q^7*(1 + q^2 + q^4 + q^6 + q^8 + 2*q^10 + 2*q^12 + q^14 + q^16 + q^18 + q^20 + q^22))/((1 + q^2 + q^4)*(1 + q^8))), -((q^15*(1 + q^10))/(1 + q^2 + q^4)), -((q^22*(1 - q^2 + q^4))/(1 + q^8))}}}}}, {4 + q^(-28) + q^(-26) + q^(-22) + 2/q^20 + 2/q^18 + 2/q^16 + 2/q^14 + 2/q^12 + 4/q^10 + 4/q^8 + 2/q^6 + 3/q^4 + 4/q^2 + 4*q^2 + 3*q^4 + 2*q^6 + 4*q^8 + 4*q^10 + 2*q^12 + 2*q^14 + 2*q^16 + 2*q^18 + 2*q^20 + q^22 + q^26 + q^28, {{{{-q^(-12), 0}, {0, q^(-10)}}, {{1/(q^8*(1 + q^2)), 1/(q^10*(1 + q^2))}, {q^(-10) + 1/(q^12*(1 + q^2)), -(1/(q^12*(1 + q^2)))}}}, {{{-q^12, 0}, {0, q^10}}, {{q^10/(1 + q^2), q^12/(1 + q^2)}, {(q^10*(1 + q^2 + q^4))/(1 + q^2), -(q^14/(1 + q^2))}}}}}, {5 + q^(-30) + q^(-28) + q^(-26) + q^(-24) + q^(-22) + 2/q^20 + 3/q^18 + 2/q^16 + 2/q^14 + 3/q^12 + 4/q^10 + 4/q^8 + 4/q^6 + 3/q^4 + 4/q^2 + 4*q^2 + 3*q^4 + 4*q^6 + 4*q^8 + 4*q^10 + 3*q^12 + 2*q^14 + 2*q^16 + 3*q^18 + 2*q^20 + q^22 + q^24 + q^26 + q^28 + q^30, {{{{q^(-10)}}, {{q^(-10)}}}, {{{q^10}}, {{q^10}}}}}} |
Revision as of 22:29, 20 June 2006
{{1, {{Template:-q^(-18), Template:-q^(-18)}, {Template:-q^18, Template:-q^18}}}, {1 + q^(-10) + q^(-8) + q^(-2) + q^2 + q^8 + q^10, {{{{q^(-24), 0, 0, 0}, {0, -q^(-18), 0, 0}, {0, 0, -q^(-12), 0}, {0, 0, 0, q^(-10)}}, {{q^10/((1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)), 1/((1 + q^2 + q^4)*(1 + q^8)), -(1/(q^5*(1 + 2*q^2 + q^4 - q^6 - q^8 + q^10 + 2*q^12 + q^14))), -(1/(q^7*(1 + 2*q^2 + 2*q^4 + 2*q^6 + 2*q^8 + 2*q^10 + 2*q^12 + q^14)))}, {((1 + q^2 + q^4)*(1 + q^8))/(q^2*(1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)), (-1 + q^2 - q^4)/(q^10*(1 + q^8)), -(1/(q^13*(1 + q^2 - q^4 - q^6 + q^8 + q^10))), 1/(q^13*(1 + 2*q^2 + 2*q^4 + 2*q^6 + 2*q^8 + 2*q^10 + 2*q^12 + q^14))}, {-(((1 + q^8)*(1 + q^2 + q^10 + q^12 + q^20 + q^22))/(q^17*(1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))), (-1 + q^4 - q^6 - q^12 + q^14 - q^18)/(q^23*(1 + q^8)), (1 - 2*q^2 + q^4)/(q^22*(1 - q^4 + q^8)), (-1 + q^2 - q^4)/(q^22*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))}, {(-1 - 2*q^2 - 3*q^4 - 3*q^6 - 3*q^8 - 4*q^10 - 4*q^12 - 4*q^14 - 3*q^16 - 3*q^18 - 4*q^20 - 4*q^22 - 4*q^24 - 3*q^26 - 3*q^28 - 3*q^30 - 2*q^32 - q^34)/(q^21*(1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)), (1 + q^6 + q^10 + q^16 + q^20 + q^26)/(q^25*(1 + q^8)^2), -(((1 + q^2 + q^4)*(1 - 2*q^2 + 3*q^4 - 2*q^6 + q^8))/(q^24*(1 + q^8)*(1 - q^4 + q^8))), (1 + 2*q^4 - q^6 + 2*q^8 + q^12)/(q^24*(1 + q^2 + q^4 + q^6 + 2*q^8 + 2*q^10 + 2*q^12 + q^14 + q^16 + q^18 + q^20))}}}, {{{q^24, 0, 0, 0}, {0, -q^18, 0, 0}, {0, 0, -q^12, 0}, {0, 0, 0, q^10}}, {{q^10/((1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)), q^12/((1 + q^2 + q^4)*(1 + q^8)), -(q^19/((1 + q^2)*(1 + q^2 + q^4)*(1 - q^4 + q^8))), -(q^21/((1 + q^2)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)))}, {(q^10*(1 + q^2 + q^4 + q^8 + q^10 + q^12))/((1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)), -((q^14*(1 - q^2 + q^4))/(1 + q^8)), -(q^23/((1 + q^2)*(1 - q^4 + q^8))), q^27/((1 + q^2)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))}, {-((q^7*(1 + q^8)*(1 + q^2 + q^10 + q^12 + q^20 + q^22))/((1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))), -((q^13*(1 - q^4 + q^6 + q^12 - q^14 + q^18))/(1 + q^8)), (q^26*(1 - 2*q^2 + q^4))/(1 - q^4 + q^8), -((q^30*(1 - q^2 + q^4))/(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))}, {-((q^7*(1 + 2*q^2 + 3*q^4 + 3*q^6 + 3*q^8 + 4*q^10 + 4*q^12 + 4*q^14 + 3*q^16 + 3*q^18 + 4*q^20 + 4*q^22 + 4*q^24 + 3*q^26 + 3*q^28 + 3*q^30 + 2*q^32 + q^34))/((1 - q^4 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))), (q^15*(1 + q^6 + q^10 + q^16 + q^20 + q^26))/(1 + q^8)^2, -((q^28*(1 - q^2 + 2*q^4 - q^6 + 2*q^8 - q^10 + q^12))/((1 + q^8)*(1 - q^4 + q^8))), (q^32*(1 + 2*q^4 - q^6 + 2*q^8 + q^12))/((1 + q^8)*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))}}}}}, {2 + q^(-18) + q^(-12) + q^(-10) + q^(-8) + q^(-6) + q^(-2) + q^2 + q^6 + q^8 + q^10 + q^12 + q^18, {{{{-q^(-18), 0}, {0, q^(-10)}}, {{1/(q^2*(1 + q^8)), (-1 - q^2 - q^4)/(q^11*(1 + q^2 + q^8 + q^10))}, {(-1 + q^4 - q^6 - q^8 + q^10 - q^14)/(q^17*(1 + q^8)), -(1/(q^18*(1 + q^8)))}}}, {{{-q^18, 0}, {0, q^10}}, {{q^10/(1 + q^8), -((q^17*(1 + q^2 + q^4))/(1 + q^2 + q^8 + q^10))}, {-((q^11*(1 - q^4 + q^6 + q^8 - q^10 + q^14))/(1 + q^8)), -(q^26/(1 + q^8))}}}}}, {3 + q^(-20) + q^(-18) + q^(-16) + q^(-12) + 2/q^10 + 2/q^8 + q^(-6) + q^(-4) + 2/q^2 + 2*q^2 + q^4 + q^6 + 2*q^8 + 2*q^10 + q^12 + q^16 + q^18 + q^20, {{{{-q^(-18), 0, 0}, {0, -q^(-12), 0}, {0, 0, q^(-10)}}, {{q^2/((1 + q^2 + q^4)*(1 + q^8)), 1/(q^8*(1 + q^2 + q^4)), -(1/(q^7*(1 + q^2 + q^8 + q^10)))}, {(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12)/(q^10*(1 + q^2 + q^4)*(1 + q^8)), (-1 - q^4)/(q^16*(1 + q^2 + q^4)), -(1/(q^13*(1 + q^2 + q^8 + q^10)))}, {(-1 - q^6)/q^13 - (-1 - q^10)/(q^21*(1 + q^2 + q^4)) - ((-1 + q^2 - q^4)*(-q^10 - q^16))/(q^31*(1 + q^8)), (-1 - q^10)/(q^21*(1 + q^2 + q^4)), (-1 + q^2 - q^4)/(q^18*(1 + q^8))}}}, {{{-q^18, 0, 0}, {0, -q^12, 0}, {0, 0, q^10}}, {{q^10/(1 + q^2 + q^4 + q^8 + q^10 + q^12), q^12/(1 + q^2 + q^4), -(q^17/((1 + q^2)*(1 + q^8)))}, {(q^10*(1 + q^2 + q^4 + q^6 + q^8 + q^10 + q^12))/((1 + q^2 + q^4)*(1 + q^8)), -((q^16*(1 + q^4))/(1 + q^2 + q^4)), -(q^23/((1 + q^2)*(1 + q^8)))}, {-((q^7*(1 + q^2 + q^4 + q^6 + q^8 + 2*q^10 + 2*q^12 + q^14 + q^16 + q^18 + q^20 + q^22))/((1 + q^2 + q^4)*(1 + q^8))), -((q^15*(1 + q^10))/(1 + q^2 + q^4)), -((q^22*(1 - q^2 + q^4))/(1 + q^8))}}}}}, {4 + q^(-28) + q^(-26) + q^(-22) + 2/q^20 + 2/q^18 + 2/q^16 + 2/q^14 + 2/q^12 + 4/q^10 + 4/q^8 + 2/q^6 + 3/q^4 + 4/q^2 + 4*q^2 + 3*q^4 + 2*q^6 + 4*q^8 + 4*q^10 + 2*q^12 + 2*q^14 + 2*q^16 + 2*q^18 + 2*q^20 + q^22 + q^26 + q^28, {{{{-q^(-12), 0}, {0, q^(-10)}}, {{1/(q^8*(1 + q^2)), 1/(q^10*(1 + q^2))}, {q^(-10) + 1/(q^12*(1 + q^2)), -(1/(q^12*(1 + q^2)))}}}, {{{-q^12, 0}, {0, q^10}}, {{q^10/(1 + q^2), q^12/(1 + q^2)}, {(q^10*(1 + q^2 + q^4))/(1 + q^2), -(q^14/(1 + q^2))}}}}}, {5 + q^(-30) + q^(-28) + q^(-26) + q^(-24) + q^(-22) + 2/q^20 + 3/q^18 + 2/q^16 + 2/q^14 + 3/q^12 + 4/q^10 + 4/q^8 + 4/q^6 + 3/q^4 + 4/q^2 + 4*q^2 + 3*q^4 + 4*q^6 + 4*q^8 + 4*q^10 + 3*q^12 + 2*q^14 + 2*q^16 + 3*q^18 + 2*q^20 + q^22 + q^24 + q^26 + q^28 + q^30, {{Template:Q^(-10), Template:Q^(-10)}, {Template:Q^10, Template:Q^10}}}}