Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 3768679652] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s471 geometric_solution 4.84247876 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 -1 1 0 1 0 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 0 0 1 0 -1 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 1.587112495192 0.726433907976 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 0 0 -1 0 1 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 -1 1 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 0.556157434339 0.401013083140 4 1 3 5 0132 0132 1302 0132 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 -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 0.571573315780 0.420867057175 2 5 4 1 2031 1023 1023 0132 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 -1 0 1 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 0.571573315780 0.420867057175 2 4 3 4 0132 1302 1023 2031 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.229822412744 1.243078544279 3 5 2 5 1023 1302 0132 2031 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 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 0 0 0.727497523818 0.496420808648 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 269511/500224*c_0110_5^10 - 158773/125056*c_0110_5^9 + 410901/500224*c_0110_5^8 + 248285/250112*c_0110_5^7 - 901391/250112*c_0110_5^6 - 3520617/500224*c_0110_5^5 - 3032245/500224*c_0110_5^4 - 5190635/500224*c_0110_5^3 - 332315/500224*c_0110_5^2 - 26357/125056*c_0110_5 + 54085/3908, c_0011_0 - 1, c_0011_3 + 875/125056*c_0110_5^10 - 163/7816*c_0110_5^9 - 2151/125056*c_0110_5^8 + 6723/62528*c_0110_5^7 - 7063/62528*c_0110_5^6 - 22781/125056*c_0110_5^5 + 39987/125056*c_0110_5^4 + 15565/125056*c_0110_5^3 + 41165/125056*c_0110_5^2 + 2249/7816*c_0110_5 - 365/7816, c_0101_0 - 35751/250112*c_0110_5^10 + 10793/31264*c_0110_5^9 - 65629/250112*c_0110_5^8 - 26003/125056*c_0110_5^7 + 119819/125056*c_0110_5^6 + 454097/250112*c_0110_5^5 + 381897/250112*c_0110_5^4 + 768375/250112*c_0110_5^3 + 268183/250112*c_0110_5^2 + 25073/31264*c_0110_5 - 50261/15632, c_0101_1 - 4795/250112*c_0110_5^10 + 575/31264*c_0110_5^9 + 1783/250112*c_0110_5^8 + 1769/125056*c_0110_5^7 - 5377/125056*c_0110_5^6 + 111709/250112*c_0110_5^5 + 221381/250112*c_0110_5^4 + 197643/250112*c_0110_5^3 + 135515/250112*c_0110_5^2 + 16893/31264*c_0110_5 - 5425/15632, c_0101_4 + 405/31264*c_0110_5^10 - 397/15632*c_0110_5^9 - 281/31264*c_0110_5^8 + 805/7816*c_0110_5^7 - 3191/15632*c_0110_5^6 - 6815/31264*c_0110_5^5 + 163/31264*c_0110_5^4 - 2119/31264*c_0110_5^3 - 12043/31264*c_0110_5^2 + 2181/15632*c_0110_5 + 3933/3908, c_0110_5^11 - 3*c_0110_5^10 + 3*c_0110_5^9 + c_0110_5^8 - 8*c_0110_5^7 - 9*c_0110_5^6 - 2*c_0110_5^5 - 12*c_0110_5^4 + 10*c_0110_5^3 + 3*c_0110_5^2 + 24*c_0110_5 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB