Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 1595851304] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3037 geometric_solution 6.20845654 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1230 0 0 1 0 0 -1 0 1 0 0 0 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 1 -1 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 0.723178705665 1.054254131383 0 4 4 3 0132 0132 1302 1302 0 0 0 1 0 0 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557537105369 0.645024986209 0 0 4 5 3012 0132 0132 0132 0 0 0 1 0 1 -1 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232998513860 0.887358201374 3 3 1 0 1230 3012 2031 0132 0 0 0 0 0 -1 1 0 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332021709224 0.643547019183 1 1 5 2 2031 0132 3201 0132 0 0 1 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 0 0 0 0 0 0 0 -1 0 0 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 0.232998513860 0.887358201374 4 6 2 6 2310 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502089649799 1.869308765292 6 5 6 5 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409098812969 0.164883234488 ==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_0011_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_2']})} 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_2, c_0101_3, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 532312/112665*c_0110_6^7 - 875188/37555*c_0110_6^6 - 3758499/37555*c_0110_6^5 - 2079487/22533*c_0110_6^4 - 9775049/112665*c_0110_6^3 - 3872206/22533*c_0110_6^2 - 371634/5365*c_0110_6 + 4883359/112665, c_0011_0 - 1, c_0011_3 - 1, c_0011_5 - 639/2146*c_0110_6^7 + 4097/2146*c_0110_6^6 + 3812/1073*c_0110_6^5 - 3/2146*c_0110_6^4 + 5769/1073*c_0110_6^3 + 4940/1073*c_0110_6^2 - 4012/1073*c_0110_6 + 2631/2146, c_0101_2 - 1573/2146*c_0110_6^7 + 10119/2146*c_0110_6^6 + 9226/1073*c_0110_6^5 + 849/2146*c_0110_6^4 + 12282/1073*c_0110_6^3 + 11902/1073*c_0110_6^2 - 6276/1073*c_0110_6 + 4381/2146, c_0101_3 + 351/2146*c_0110_6^7 - 1027/1073*c_0110_6^6 - 2910/1073*c_0110_6^5 + 183/2146*c_0110_6^4 - 3149/2146*c_0110_6^3 - 7165/2146*c_0110_6^2 + 5541/2146*c_0110_6 - 307/1073, c_0101_5 - 26/29*c_0110_6^7 + 329/58*c_0110_6^6 + 328/29*c_0110_6^5 + 9/29*c_0110_6^4 + 749/58*c_0110_6^3 + 837/58*c_0110_6^2 - 489/58*c_0110_6 + 135/58, c_0110_6^8 - 5*c_0110_6^7 - 21*c_0110_6^6 - 17*c_0110_6^5 - 16*c_0110_6^4 - 37*c_0110_6^3 - 11*c_0110_6^2 + 10*c_0110_6 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB