Magma V2.19-8 Tue Aug 20 2013 16:18:05 on localhost [Seed = 1444399774] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2307 geometric_solution 5.70565596 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0.556164688230 0.251357681967 0 4 0 3 0132 0132 0321 2310 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 0 0 0 0 0 0 0 0 0 0 0.158680018877 0.612926497362 5 0 4 5 0132 0132 3201 3201 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 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 0.181840114319 0.938288993712 1 5 0 6 3201 1230 0132 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 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 1.440742851352 2.550056619877 2 1 6 6 2310 0132 1302 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 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 1.395911357271 1.667985839200 2 2 3 6 0132 2310 3012 3201 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 0 0 0 0 0 -1 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 0.800930862489 1.027190185259 4 5 3 4 2031 2310 0132 0213 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 -1 1 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 -0.134713095987 0.567550115281 ==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' : 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' : 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_1001_1'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_6']})} 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_6, c_0101_0, c_0101_2, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 278471690/796053*c_1001_1^10 - 217820449/265351*c_1001_1^9 + 148545877/796053*c_1001_1^8 + 3801934264/796053*c_1001_1^7 + 3921282661/796053*c_1001_1^6 - 10359902465/796053*c_1001_1^5 - 3871259479/265351*c_1001_1^4 + 6472624666/796053*c_1001_1^3 + 9425278487/796053*c_1001_1^2 + 1816210/5727*c_1001_1 - 1279634252/796053, c_0011_0 - 1, c_0011_3 - 5222/11537*c_1001_1^10 - 10151/11537*c_1001_1^9 + 4511/11537*c_1001_1^8 + 63574/11537*c_1001_1^7 + 47614/11537*c_1001_1^6 - 182552/11537*c_1001_1^5 - 106129/11537*c_1001_1^4 + 91061/11537*c_1001_1^3 + 41945/11537*c_1001_1^2 + 109/83*c_1001_1 + 26233/11537, c_0011_6 - 50782/11537*c_1001_1^10 - 116831/11537*c_1001_1^9 + 32428/11537*c_1001_1^8 + 691631/11537*c_1001_1^7 + 683283/11537*c_1001_1^6 - 1921188/11537*c_1001_1^5 - 2030539/11537*c_1001_1^4 + 1271995/11537*c_1001_1^3 + 1667032/11537*c_1001_1^2 - 114/83*c_1001_1 - 247330/11537, c_0101_0 - 27594/11537*c_1001_1^10 - 69940/11537*c_1001_1^9 + 4289/11537*c_1001_1^8 + 381466/11537*c_1001_1^7 + 454411/11537*c_1001_1^6 - 975309/11537*c_1001_1^5 - 1341764/11537*c_1001_1^4 + 506886/11537*c_1001_1^3 + 1050546/11537*c_1001_1^2 + 843/83*c_1001_1 - 127195/11537, c_0101_2 - 47714/11537*c_1001_1^10 - 109789/11537*c_1001_1^9 + 28894/11537*c_1001_1^8 + 647785/11537*c_1001_1^7 + 644700/11537*c_1001_1^6 - 1786713/11537*c_1001_1^5 - 1903644/11537*c_1001_1^4 + 1134851/11537*c_1001_1^3 + 1555479/11537*c_1001_1^2 + 112/83*c_1001_1 - 212401/11537, c_0101_5 + 1, c_1001_1^11 + 3*c_1001_1^10 + c_1001_1^9 - 14*c_1001_1^8 - 23*c_1001_1^7 + 28*c_1001_1^6 + 66*c_1001_1^5 + 4*c_1001_1^4 - 49*c_1001_1^3 - 23*c_1001_1^2 + 4*c_1001_1 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB