Data:Braiding/G 2/1,0/3: Difference between revisions

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{{1, {{{{-q^(-18)}}, {{-q^(-18)}}}, {{{-q^18}}, {{-q^18}}}}}, {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, {{{{-((1 - q^8)/q^18), -(1/(q^13*(1 + q^2)))}, {-((1 + q^2)/q^15), 0}}, {{q^(-10), 1/(q^5*(1 + q^2))}, {0, -q^(-18)}}}, {{{0, -(q^15/(1 + q^2))}, {-q^13 - q^15, q^10 - q^18}}, {{q^10, q^23/(1 + q^2)}, {0, -q^18}}}}}, {1 + q^(-10) + q^(-8) + q^(-2) + q^2 + q^8 + q^10, {{{{-((-1 + q^2 - q^4 + q^6 + q^8 - q^10 + q^12 - q^14)/q^24), -((1 - q^2 + q^4 - q^8)/q^23), -((1 - 2*q^2 + 2*q^4 - q^6)/q^17), q^(-14)}, {-((1 - q^2 + q^4 + q^6 - 2*q^8 + q^10 - q^12 - q^18 + q^20)/q^23), -((-1 + q^2 - q^6 + q^8 + q^10)/q^22), -((-1 + q^2 - q^6 + q^8)/q^16), 0}, {-((1 + q^2 - q^12 - q^14)/q^21), -((-1 - 2*q^2 - q^4)/q^20), q^(-12), 0}, {q^(-14), 0, 0, 0}}, {{q^(-10), -q^(-9), -(1/(q^3*(1 + q^2))), 1}, {0, -q^(-12), -((-1 + q^2)/q^10), -((1 - q^2 + q^6 - q^8)/q^11)}, {0, 0, -q^(-18), (1 + q^2 + q^6 + q^8)/q^19}, {0, 0, 0, q^(-24)}}}, {{{0, 0, 0, q^14}, {0, -q^24, q^20 - q^22 + q^26 - q^28, q^13 - q^15 - q^21 + q^23 - 2*q^25 + q^27 + q^29 - q^31 + q^33}, {0, q^16 + 2*q^18 + q^20, -q^14 + q^16 - q^20 + q^22 + q^24, q^9 + q^11 + q^13 + q^15 + q^19 - q^21 - 2*q^23 - q^27 - q^29}, {q^14, q^13 - q^15, q^13 - 2*q^15 + 2*q^17 - q^19, q^10 - q^12 + q^14 - q^16 - q^18 + q^20 - q^22 + q^24}}, {{q^10, -q^13, -(q^21/(1 + q^2)), q^28}, {0, -q^12, -q^20 + q^22, q^27 - q^29 + q^33 - q^35}, {0, 0, -q^18, q^23 + q^25 + q^29 + q^31}, {0, 0, 0, q^24}}}}}, {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, {{{{-((1 - q^2)/q^12), q^(-11)}, {q^(-11), 0}}, {{q^(-10), -q^(-9)}, {0, -q^(-12)}}}, {{{0, q^11}, {q^11, q^10 - q^12}}, {{q^10, -q^13}, {0, -q^12}}}}}, {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, {{{{-((1 - q^2 + q^6 - q^8)/q^18), -((-1 + q^4)/q^18), q^(-12)}, {-((-1 + q^2 - q^6 + q^8)/q^16), -q^(-16), 0}, {q^(-12), 0, 0}}, {{q^(-10), -((1 + q^2)/q^10), -q^(-4)}, {0, -q^(-12), -((-1 + q^2)/q^10)}, {0, 0, -q^(-18)}}}, {{{0, 0, q^12}, {0, -q^16, q^12 - q^14 + q^18 - q^20}, {q^12, q^10 - q^14, q^10 - q^12 + q^16 - q^18}}, {{q^10, -q^12 - q^14, -q^20}, {0, -q^12, -q^20 + q^22}, {0, 0, -q^18}}}}}, {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}}}}}}
{{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^2 + q^8 + q^10 + q^12 + q^18 + q^20), 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 + q^4 + q^10 + q^12 + q^14 + q^20 + q^22), (-1 + q^2 - q^4)/(q^10 + q^18), -(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^2 + q^8 + q^10 + q^12 + q^18 + q^20))), -((1 - q^4 + q^6 + q^12 - q^14 + q^18)/(q^23 + q^31)), (-1 + q^2)^2/(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 + q^2 + q^4)^3*(1 - q^2 + 2*q^6 - 2*q^8 + q^10 + q^12 - 2*q^14 + 2*q^16 - q^20 + q^22))/(q^21*(1 + q^2 + q^8 + q^10 + q^12 + q^18 + q^20))), (1 + q^6 + q^10 + q^16 + q^20 + q^26)/(q^25*(1 + q^8)^2), -(((1 - q^2 + q^4)^2*(1 + q^2 + q^4))/(q^24*(1 - q^4 + 2*q^8 - q^12 + q^16))), (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^2 + q^8 + q^10 + q^12 + q^18 + q^20), 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^2 + q^8 + q^10 + q^12 + q^18 + q^20), -((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^2 + q^8 + q^10 + q^12 + q^18 + q^20)), -((q^13*(1 - q^4 + q^6 + q^12 - q^14 + q^18))/(1 + q^8)), (q^26*(-1 + q^2)^2)/(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 + q^2 + q^4)^3*(1 - q^2 + 2*q^6 - 2*q^8 + q^10 + q^12 - 2*q^14 + 2*q^16 - q^20 + q^22))/(1 + q^2 + q^8 + q^10 + q^12 + q^18 + q^20)), (q^15*(1 + q^6 + q^10 + q^16 + q^20 + q^26))/(1 + q^8)^2, -((q^28*(1 - q^2 + q^4)^2*(1 + q^2 + q^4))/(1 - q^4 + 2*q^8 - q^12 + q^16)), (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)}}, {{(q^2 + q^10)^(-1), -((1 + q^2 + q^4)/(q^11 + q^13 + q^19 + q^21))}, {-((1 - q^4 + q^6 + q^8 - q^10 + q^14)/(q^17 + q^25)), -(q^18 + q^26)^(-1)}}}, {{{-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)), (q^8 + q^10 + q^12)^(-1), -(q^7 + q^9 + q^15 + q^17)^(-1)}, {(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 + q^18 + q^20)), -(1/(q^13*(1 + q^2 + q^8 + q^10)))}, {-((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)/(q^17*(1 + q^2 + q^4)*(1 + q^8))), -((1 + q^10)/(q^21 + q^23 + q^25)), (-1 + q^2 - q^4)/(q^18 + q^26)}}}, {{{-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 + q^8 + q^10))}, {(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 + q^20)/(1 + q^2 + q^4)), -(q^23/(1 + q^2 + q^8 + q^10))}, {-((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 + q^25)/(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)}}, {{(q^8 + q^10)^(-1), (q^10 + q^12)^(-1)}, {(q^2 + (1 + q^2)^(-1))/q^12, -(q^12 + q^14)^(-1)}}}, {{{-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}}}}}}

Latest revision as of 23:02, 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^2 + q^8 + q^10 + q^12 + q^18 + q^20), 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 + q^4 + q^10 + q^12 + q^14 + q^20 + q^22), (-1 + q^2 - q^4)/(q^10 + q^18), -(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^2 + q^8 + q^10 + q^12 + q^18 + q^20))), -((1 - q^4 + q^6 + q^12 - q^14 + q^18)/(q^23 + q^31)), (-1 + q^2)^2/(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 + q^2 + q^4)^3*(1 - q^2 + 2*q^6 - 2*q^8 + q^10 + q^12 - 2*q^14 + 2*q^16 - q^20 + q^22))/(q^21*(1 + q^2 + q^8 + q^10 + q^12 + q^18 + q^20))), (1 + q^6 + q^10 + q^16 + q^20 + q^26)/(q^25*(1 + q^8)^2), -(((1 - q^2 + q^4)^2*(1 + q^2 + q^4))/(q^24*(1 - q^4 + 2*q^8 - q^12 + q^16))), (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^2 + q^8 + q^10 + q^12 + q^18 + q^20), 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^2 + q^8 + q^10 + q^12 + q^18 + q^20), -((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^2 + q^8 + q^10 + q^12 + q^18 + q^20)), -((q^13*(1 - q^4 + q^6 + q^12 - q^14 + q^18))/(1 + q^8)), (q^26*(-1 + q^2)^2)/(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 + q^2 + q^4)^3*(1 - q^2 + 2*q^6 - 2*q^8 + q^10 + q^12 - 2*q^14 + 2*q^16 - q^20 + q^22))/(1 + q^2 + q^8 + q^10 + q^12 + q^18 + q^20)), (q^15*(1 + q^6 + q^10 + q^16 + q^20 + q^26))/(1 + q^8)^2, -((q^28*(1 - q^2 + q^4)^2*(1 + q^2 + q^4))/(1 - q^4 + 2*q^8 - q^12 + q^16)), (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)}}, {{(q^2 + q^10)^(-1), -((1 + q^2 + q^4)/(q^11 + q^13 + q^19 + q^21))}, {-((1 - q^4 + q^6 + q^8 - q^10 + q^14)/(q^17 + q^25)), -(q^18 + q^26)^(-1)}}}, {{{-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)), (q^8 + q^10 + q^12)^(-1), -(q^7 + q^9 + q^15 + q^17)^(-1)}, {(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 + q^18 + q^20)), -(1/(q^13*(1 + q^2 + q^8 + q^10)))}, {-((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)/(q^17*(1 + q^2 + q^4)*(1 + q^8))), -((1 + q^10)/(q^21 + q^23 + q^25)), (-1 + q^2 - q^4)/(q^18 + q^26)}}}, {{{-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 + q^8 + q^10))}, {(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 + q^20)/(1 + q^2 + q^4)), -(q^23/(1 + q^2 + q^8 + q^10))}, {-((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 + q^25)/(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)}}, {{(q^8 + q^10)^(-1), (q^10 + q^12)^(-1)}, {(q^2 + (1 + q^2)^(-1))/q^12, -(q^12 + q^14)^(-1)}}}, {{{-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}}}}

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