Magma V2.19-8 Tue Aug 20 2013 16:18:46 on localhost [Seed = 2951623384] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2925 geometric_solution 6.12496920 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 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 -1 0 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 0.083672914580 0.645425647064 0 4 5 3 0132 0132 0132 2310 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 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 -0.016509270640 0.701054323716 6 0 4 0 0132 0132 1230 1023 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 0 0 0 1 -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 0.757216693903 0.878879013919 1 5 6 0 3201 0132 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.016509270640 0.701054323716 6 1 6 2 1023 0132 3120 3012 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.376487563627 1.293293610607 5 3 5 1 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014901992230 0.953160627294 2 4 4 3 0132 1023 3120 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.207505334965 0.712813250169 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_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_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 68081/30736*c_0101_6^10 + 127709/30736*c_0101_6^9 + 390165/30736*c_0101_6^8 + 34412/1921*c_0101_6^7 + 287261/15368*c_0101_6^6 + 66825/3842*c_0101_6^5 + 23231/7684*c_0101_6^4 - 24811/7684*c_0101_6^3 - 99733/30736*c_0101_6^2 - 1499/3842*c_0101_6 - 241965/30736, c_0011_0 - 1, c_0011_3 - 30/113*c_0101_6^10 - 72/113*c_0101_6^9 - 141/113*c_0101_6^8 - 236/113*c_0101_6^7 - 191/113*c_0101_6^6 - 173/113*c_0101_6^5 - 144/113*c_0101_6^4 - 35/113*c_0101_6^3 + 16/113*c_0101_6^2 - 54/113*c_0101_6 + 38/113, c_0101_0 - 24/113*c_0101_6^10 - 35/113*c_0101_6^9 - 158/113*c_0101_6^8 - 234/113*c_0101_6^7 - 311/113*c_0101_6^6 - 387/113*c_0101_6^5 - 183/113*c_0101_6^4 - 28/113*c_0101_6^3 - 55/113*c_0101_6^2 + 2/113*c_0101_6 + 166/113, c_0101_1 - 25/113*c_0101_6^10 - 60/113*c_0101_6^9 - 174/113*c_0101_6^8 - 272/113*c_0101_6^7 - 291/113*c_0101_6^6 - 276/113*c_0101_6^5 - 7/113*c_0101_6^4 + 65/113*c_0101_6^3 + 51/113*c_0101_6^2 + 68/113*c_0101_6 + 107/113, c_0101_2 + 34/113*c_0101_6^10 + 59/113*c_0101_6^9 + 205/113*c_0101_6^8 + 275/113*c_0101_6^7 + 337/113*c_0101_6^6 + 294/113*c_0101_6^5 + 5/113*c_0101_6^4 - 111/113*c_0101_6^3 - 214/113*c_0101_6^2 - 97/113*c_0101_6 - 141/113, c_0101_6^11 + 2*c_0101_6^10 + 6*c_0101_6^9 + 9*c_0101_6^8 + 10*c_0101_6^7 + 10*c_0101_6^6 + 4*c_0101_6^5 - c_0101_6^3 - c_0101_6^2 - 5*c_0101_6 - 1, c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB