Magma V2.19-8 Tue Aug 20 2013 16:16:59 on localhost [Seed = 307465927] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1230 geometric_solution 5.12741424 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 2.787572522067 1.482376271712 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.546071006408 0.136166825382 0 3 4 0 3201 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097713684526 0.524744228653 4 2 5 6 2310 0132 0132 0132 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 0 0 1 -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 0.063509518565 1.052468469996 5 6 3 2 0132 2310 3201 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 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 0.063509518565 1.052468469996 4 5 5 3 0132 1230 3012 0132 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 1 0 -1 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 0.886318685921 1.001003126058 6 6 3 4 1302 2031 0132 3201 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 0 0 0 0.496670663163 0.446419348303 ==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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], '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' : negation(d['c_0011_4']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 18792624/1232371*c_0110_6^9 - 20599885/1232371*c_0110_6^8 - 53817801/1232371*c_0110_6^7 - 33601334/1232371*c_0110_6^6 - 16027392/1232371*c_0110_6^5 - 149525129/1232371*c_0110_6^4 - 267481628/1232371*c_0110_6^3 + 115258928/1232371*c_0110_6^2 - 51840890/1232371*c_0110_6 - 288426168/1232371, c_0011_0 - 1, c_0011_2 - 25102/176053*c_0110_6^9 + 28678/176053*c_0110_6^8 + 49114/176053*c_0110_6^7 + 73183/176053*c_0110_6^6 + 64823/176053*c_0110_6^5 + 271353/176053*c_0110_6^4 + 277950/176053*c_0110_6^3 - 62583/176053*c_0110_6^2 + 177788/176053*c_0110_6 + 112204/176053, c_0011_4 + 2952/176053*c_0011_6*c_0110_6^9 - 1535/176053*c_0011_6*c_0110_6^8 - 31838/176053*c_0011_6*c_0110_6^7 + 26882/176053*c_0011_6*c_0110_6^6 + 29871/176053*c_0011_6*c_0110_6^5 + 32052/176053*c_0011_6*c_0110_6^4 - 76844/176053*c_0011_6*c_0110_6^3 + 86416/176053*c_0011_6*c_0110_6^2 + 146266/176053*c_0011_6*c_0110_6 - 163691/176053*c_0011_6, c_0011_6^2 - 14836/176053*c_0110_6^9 + 20835/176053*c_0110_6^8 + 24988/176053*c_0110_6^7 + 45722/176053*c_0110_6^6 + 19488/176053*c_0110_6^5 + 99416/176053*c_0110_6^4 + 138102/176053*c_0110_6^3 - 184300/176053*c_0110_6^2 + 68832/176053*c_0110_6 - 30162/176053, c_0101_0 + 2952/176053*c_0110_6^9 - 1535/176053*c_0110_6^8 - 31838/176053*c_0110_6^7 + 26882/176053*c_0110_6^6 + 29871/176053*c_0110_6^5 + 32052/176053*c_0110_6^4 - 76844/176053*c_0110_6^3 + 86416/176053*c_0110_6^2 + 146266/176053*c_0110_6 - 163691/176053, c_0101_1 + 2108/176053*c_0110_6^9 + 14887/176053*c_0110_6^8 - 30369/176053*c_0110_6^7 - 39011/176053*c_0110_6^6 - 40932/176053*c_0110_6^5 - 21483/176053*c_0110_6^4 - 197052/176053*c_0110_6^3 - 136291/176053*c_0110_6^2 + 155498/176053*c_0110_6 - 99476/176053, c_0110_6^10 - c_0110_6^9 - 3*c_0110_6^8 - 2*c_0110_6^7 - c_0110_6^6 - 8*c_0110_6^5 - 15*c_0110_6^4 + 5*c_0110_6^3 - 2*c_0110_6^2 - 16*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB