Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 1343343915] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3274 geometric_solution 6.39679827 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 1023 0 0 0 0 0 0 1 -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 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 1.352028585967 1.706257600751 0 3 4 0 0132 0132 0132 1023 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 -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 0.194516968173 0.512207866324 5 0 0 4 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 0 -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 0.194516968173 0.512207866324 5 1 6 5 1023 0132 0132 1302 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107996587874 1.232279543095 2 6 6 1 3201 2031 3120 0132 0 0 0 0 0 0 0 0 -1 0 0 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 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 0 0 0.618054616996 1.127291666753 2 3 3 6 0132 1023 2031 3201 0 0 0 0 0 0 0 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 0 0 -1 0 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 0.107996587874 1.232279543095 4 5 4 3 1302 2310 3120 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269608103928 0.795734108518 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], '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_3']), 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 95377/968*c_0101_4^5 + 123003/484*c_0101_4^4 + 130663/484*c_0101_4^3 - 2509593/6776*c_0101_4^2 - 1776469/6776*c_0101_4 + 573527/6776, c_0011_0 - 1, c_0011_4 - 315/484*c_0101_4^5 - 259/121*c_0101_4^4 - 371/121*c_0101_4^3 + 171/484*c_0101_4^2 + 1413/484*c_0101_4 + 291/484, c_0011_6 - c_0101_4, c_0101_0 + 287/242*c_0101_4^5 + 448/121*c_0101_4^4 + 546/121*c_0101_4^3 - 895/242*c_0101_4^2 - 1305/242*c_0101_4 - 51/242, c_0101_1 - 147/121*c_0101_4^5 - 777/242*c_0101_4^4 - 959/242*c_0101_4^3 + 791/242*c_0101_4^2 + 435/121*c_0101_4 + 45/242, c_0101_3 - 273/484*c_0101_4^5 - 259/242*c_0101_4^4 - 217/242*c_0101_4^3 + 1411/484*c_0101_4^2 + 327/484*c_0101_4 - 201/484, c_0101_4^6 + 3*c_0101_4^5 + 4*c_0101_4^4 - 15/7*c_0101_4^3 - 26/7*c_0101_4^2 - 6/7*c_0101_4 - 1/7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 6395/129*c_0101_4^7 + 12378/43*c_0101_4^6 + 21891/86*c_0101_4^5 + 11603/86*c_0101_4^4 + 46843/258*c_0101_4^3 + 39955/258*c_0101_4^2 + 12745/258*c_0101_4 - 929/86, c_0011_0 - 1, c_0011_4 - 365/43*c_0101_4^7 + 6394/129*c_0101_4^6 + 5795/129*c_0101_4^5 + 340/129*c_0101_4^4 + 3527/129*c_0101_4^3 + 1025/43*c_0101_4^2 - 265/129*c_0101_4 - 136/43, c_0011_6 - c_0101_4, c_0101_0 - 2285/129*c_0101_4^7 + 14027/129*c_0101_4^6 + 7651/129*c_0101_4^5 - 70/129*c_0101_4^4 + 2679/43*c_0101_4^3 + 3653/129*c_0101_4^2 - 306/43*c_0101_4 - 144/43, c_0101_1 + 3275/129*c_0101_4^7 - 19210/129*c_0101_4^6 - 5553/43*c_0101_4^5 - 527/43*c_0101_4^4 - 11204/129*c_0101_4^3 - 8698/129*c_0101_4^2 + 512/129*c_0101_4 + 1063/129, c_0101_3 - 365/43*c_0101_4^7 + 6394/129*c_0101_4^6 + 5795/129*c_0101_4^5 + 340/129*c_0101_4^4 + 3527/129*c_0101_4^3 + 1025/43*c_0101_4^2 - 265/129*c_0101_4 - 136/43, c_0101_4^8 - 26/5*c_0101_4^7 - 9*c_0101_4^6 - 19/5*c_0101_4^5 - 19/5*c_0101_4^4 - 5*c_0101_4^3 - 8/5*c_0101_4^2 + 2/5*c_0101_4 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB