Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 3052677317] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2878 geometric_solution 6.09067316 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1.026332139826 0.970681124347 0 4 5 3 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329119099292 0.586119219065 5 0 0 5 0213 0132 1023 2031 0 0 0 0 0 0 1 -1 0 0 0 0 -1 0 0 1 -1 1 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 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026332139826 0.970681124347 6 1 0 6 0132 1302 0132 0213 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 -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 0.457790012753 0.986745539368 4 1 4 6 2031 0132 1302 0321 0 0 0 0 0 0 -1 1 1 0 -1 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 0.635813467217 0.648569854035 2 2 6 1 0213 1302 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 0 -1 1 -1 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 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.915196323749 1.021801346532 3 4 5 3 0132 0321 1023 0213 0 0 0 0 0 -1 1 0 0 0 0 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 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 -0.341761801415 1.172238438129 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : d['c_1010_3'], 'c_1100_5' : negation(d['c_1010_3']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_3']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_1001_1']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1010_3'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_1001_1, c_1010_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 778413/102264664*c_1010_3^10 + 26656439/204529328*c_1010_3^8 + 36798747/51132332*c_1010_3^6 + 134442317/204529328*c_1010_3^4 - 83686747/25566166*c_1010_3^2 - 278715843/51132332, c_0011_0 - 1, c_0011_3 + 4463/12783083*c_1010_3^10 - 160235/25566166*c_1010_3^8 - 1793324/12783083*c_1010_3^6 - 15545009/25566166*c_1010_3^4 + 5409510/12783083*c_1010_3^2 + 17425873/12783083, c_0011_5 + 14155/594562*c_1010_3^11 + 484151/1189124*c_1010_3^9 + 2669679/1189124*c_1010_3^7 + 612567/297281*c_1010_3^5 - 2978499/297281*c_1010_3^3 - 5116527/297281*c_1010_3, c_0101_0 - 14155/594562*c_1010_3^11 - 484151/1189124*c_1010_3^9 - 2669679/1189124*c_1010_3^7 - 612567/297281*c_1010_3^5 + 2978499/297281*c_1010_3^3 + 5116527/297281*c_1010_3, c_0101_1 + 169748/12783083*c_1010_3^11 + 2918973/12783083*c_1010_3^9 + 32398791/25566166*c_1010_3^7 + 29080793/25566166*c_1010_3^5 - 78596074/12783083*c_1010_3^3 - 130193447/12783083*c_1010_3, c_1001_1 + 131195/12783083*c_1010_3^10 + 3785031/25566166*c_1010_3^8 + 14632259/25566166*c_1010_3^6 - 9420651/12783083*c_1010_3^4 - 42107870/12783083*c_1010_3^2 - 10775942/12783083, c_1010_3^12 + 33/2*c_1010_3^10 + 171/2*c_1010_3^8 + 51*c_1010_3^6 - 392*c_1010_3^4 - 560*c_1010_3^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB