Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 3600239597] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2433 geometric_solution 5.78073207 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492914705237 0.318727993485 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.076491146119 0.606321305397 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.063772645167 0.823399791639 5 2 4 1 1023 1230 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.063772645167 0.823399791639 4 2 3 4 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386357098522 0.603499630936 6 3 2 6 0132 1023 0132 1023 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745012986233 0.410125371528 5 6 6 5 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.143472313862 0.440625911304 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 10111415407/210152798*c_0101_6^10 - 17684842462/105076399*c_0101_6^9 + 881638307/210152798*c_0101_6^8 - 67399620579/210152798*c_0101_6^7 - 594054928327/210152798*c_0101_6^6 - 124593401646/105076399*c_0101_6^5 + 1078960852989/210152798*c_0101_6^4 + 247067540176/105076399*c_0101_6^3 - 338802429196/105076399*c_0101_6^2 - 92933223231/105076399*c_0101_6 + 144319451331/210152798, c_0011_0 - 1, c_0011_1 + 2276848/2562839*c_0101_6^10 + 9156286/2562839*c_0101_6^9 + 5822698/2562839*c_0101_6^8 + 21971121/2562839*c_0101_6^7 + 144305671/2562839*c_0101_6^6 + 142881771/2562839*c_0101_6^5 - 101452167/2562839*c_0101_6^4 - 156612408/2562839*c_0101_6^3 - 17652974/2562839*c_0101_6^2 + 21230562/2562839*c_0101_6 + 4263387/2562839, c_0011_3 - 120990/2562839*c_0101_0*c_0101_6^10 - 170708/2562839*c_0101_0*c_0101_6^9 + 960565/2562839*c_0101_0*c_0101_6^8 - 644434/2562839*c_0101_0*c_0101_6^7 - 5352138/2562839*c_0101_0*c_0101_6^6 + 12746704/2562839*c_0101_0*c_0101_6^5 + 21982867/2562839*c_0101_0*c_0101_6^4 - 19269869/2562839*c_0101_0*c_0101_6^3 - 19163727/2562839*c_0101_0*c_0101_6^2 + 7853210/2562839*c_0101_0*c_0101_6 + 2464792/2562839*c_0101_0, c_0101_0^2 + 2276848/2562839*c_0101_6^10 + 9156286/2562839*c_0101_6^9 + 5822698/2562839*c_0101_6^8 + 21971121/2562839*c_0101_6^7 + 144305671/2562839*c_0101_6^6 + 142881771/2562839*c_0101_6^5 - 101452167/2562839*c_0101_6^4 - 156612408/2562839*c_0101_6^3 - 17652974/2562839*c_0101_6^2 + 21230562/2562839*c_0101_6 + 1700548/2562839, c_0101_1 + 587190/2562839*c_0101_6^10 + 2403805/2562839*c_0101_6^9 + 1921615/2562839*c_0101_6^8 + 6419294/2562839*c_0101_6^7 + 37378513/2562839*c_0101_6^6 + 42485074/2562839*c_0101_6^5 - 11768400/2562839*c_0101_6^4 - 43250218/2562839*c_0101_6^3 - 14704164/2562839*c_0101_6^2 + 3903167/2562839*c_0101_6 + 1651457/2562839, c_0101_3 + 2112054/2562839*c_0101_6^10 + 7761462/2562839*c_0101_6^9 + 3281584/2562839*c_0101_6^8 + 20948782/2562839*c_0101_6^7 + 126256462/2562839*c_0101_6^6 + 94516075/2562839*c_0101_6^5 - 96692180/2562839*c_0101_6^4 - 107471406/2562839*c_0101_6^3 - 10953063/2562839*c_0101_6^2 + 14808573/2562839*c_0101_6 + 2897714/2562839, c_0101_6^11 + 4*c_0101_6^10 + 2*c_0101_6^9 + 8*c_0101_6^8 + 63*c_0101_6^7 + 57*c_0101_6^6 - 73*c_0101_6^5 - 80*c_0101_6^4 + 23*c_0101_6^3 + 23*c_0101_6^2 - 4*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB