Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 2850567365] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3124 geometric_solution 6.28682431 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 1 0 -1 0 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 -1 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 0 0 0 0.715779262790 0.998656645313 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 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 0.256287920702 0.751320423913 3 0 4 5 3201 0132 3201 0132 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 0 0.256287920702 0.751320423913 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.165021321105 1.124412374062 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847633361659 1.637943949587 5 5 2 1 1302 2031 0132 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 0.364739789675 0.924869714801 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 1 -1 -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 1 -1 -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 0.428978723752 0.190244517235 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(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_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 233428293/4985357*c_0101_2*c_0110_6^12 - 46230618/4985357*c_0101_2*c_0110_6^11 + 1098616778/4985357*c_0101_2*c_0110_6^10 + 860873310/4985357*c_0101_2*c_0110_6^9 - 2324376287/4985357*c_0101_2*c_0110_6^8 - 900798684/4985357*c_0101_2*c_0110_6^7 + 2113738646/4985357*c_0101_2*c_0110_6^6 - 332591416/4985357*c_0101_2*c_0110_6^5 - 875587796/4985357*c_0101_2*c_0110_6^4 + 861421940/4985357*c_0101_2*c_0110_6^3 + 29960500/4985357*c_0101_2*c_0110_6^2 - 342312024/4985357*c_0101_2*c_0110_6 + 163152798/4985357*c_0101_2, c_0011_0 - 1, c_0011_4 + 472791/383489*c_0101_2*c_0110_6^12 + 70829/383489*c_0101_2*c_0110_6^11 - 2086059/383489*c_0101_2*c_0110_6^10 - 1505071/383489*c_0101_2*c_0110_6^9 + 4320610/383489*c_0101_2*c_0110_6^8 + 673523/383489*c_0101_2*c_0110_6^7 - 4033057/383489*c_0101_2*c_0110_6^6 + 1490049/383489*c_0101_2*c_0110_6^5 + 1863476/383489*c_0101_2*c_0110_6^4 - 1579124/383489*c_0101_2*c_0110_6^3 + 711078/383489*c_0101_2*c_0110_6^2 + 185346/383489*c_0101_2*c_0110_6 - 546712/383489*c_0101_2, c_0011_5 + 556038/383489*c_0101_2*c_0110_6^12 - 118977/383489*c_0101_2*c_0110_6^11 - 2448499/383489*c_0101_2*c_0110_6^10 - 980277/383489*c_0101_2*c_0110_6^9 + 5485605/383489*c_0101_2*c_0110_6^8 - 581304/383489*c_0101_2*c_0110_6^7 - 3978677/383489*c_0101_2*c_0110_6^6 + 2433092/383489*c_0101_2*c_0110_6^5 - 154552/383489*c_0101_2*c_0110_6^4 - 1743926/383489*c_0101_2*c_0110_6^3 + 1730738/383489*c_0101_2*c_0110_6^2 + 141598/383489*c_0101_2*c_0110_6 - 325303/383489*c_0101_2, c_0101_0 + 244365/383489*c_0110_6^12 - 120299/383489*c_0110_6^11 - 1331675/383489*c_0110_6^10 - 380685/383489*c_0110_6^9 + 3581596/383489*c_0110_6^8 + 723520/383489*c_0110_6^7 - 2908422/383489*c_0110_6^6 + 185285/383489*c_0110_6^5 + 633542/383489*c_0110_6^4 - 1656660/383489*c_0110_6^3 + 445042/383489*c_0110_6^2 + 930201/383489*c_0110_6 - 157597/383489, c_0101_1 - 247803/383489*c_0110_6^12 - 210091/383489*c_0110_6^11 + 870243/383489*c_0110_6^10 + 1355580/383489*c_0110_6^9 - 653036/383489*c_0110_6^8 - 426974/383489*c_0110_6^7 - 82216/383489*c_0110_6^6 - 2319456/383489*c_0110_6^5 + 369046/383489*c_0110_6^4 + 1607606/383489*c_0110_6^3 - 318218/383489*c_0110_6^2 - 80625/383489*c_0110_6 + 316835/383489, c_0101_2^2 - 64164/383489*c_0110_6^12 - 225059/383489*c_0110_6^11 + 296134/383489*c_0110_6^10 + 1333168/383489*c_0110_6^9 + 80995/383489*c_0110_6^8 - 2837349/383489*c_0110_6^7 - 531485/383489*c_0110_6^6 + 2311886/383489*c_0110_6^5 - 191921/383489*c_0110_6^4 - 906803/383489*c_0110_6^3 + 705153/383489*c_0110_6^2 + 247182/383489*c_0110_6 - 385817/383489, c_0110_6^13 + 2/3*c_0110_6^12 - 14/3*c_0110_6^11 - 6*c_0110_6^10 + 25/3*c_0110_6^9 + 9*c_0110_6^8 - 7*c_0110_6^7 - 3*c_0110_6^6 + 13/3*c_0110_6^5 - 2*c_0110_6^4 - 2*c_0110_6^3 + 4/3*c_0110_6^2 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB