Magma V2.19-8 Tue Aug 20 2013 16:16:55 on localhost [Seed = 2480017231] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1172 geometric_solution 5.04489916 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.341160980684 1.055552721633 2 0 0 3 0132 0132 1023 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 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 0.038871361676 0.348859414762 1 3 4 5 0132 2310 0132 0132 0 0 0 0 0 -1 0 1 1 0 -1 0 0 -1 0 1 0 -1 1 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 0 0 0.572470883765 1.234480508519 4 5 1 2 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 1 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572470883765 1.234480508519 3 6 6 2 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0.645021887151 0.160047991672 5 3 2 5 3012 0132 0132 1230 0 0 0 0 0 1 -1 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 1 -1 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 1.250497033388 0.723304433350 6 4 4 6 3012 0132 1023 1230 0 0 0 0 0 0 1 -1 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.250497033388 0.723304433350 ==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' : negation(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' : negation(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_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 33694953/1038008*c_0101_6^8 + 72013167/519004*c_0101_6^7 - 14289155/519004*c_0101_6^6 + 162987631/519004*c_0101_6^5 + 1740749781/1038008*c_0101_6^4 - 236212679/519004*c_0101_6^3 + 231836739/129751*c_0101_6^2 - 275717495/259502*c_0101_6 + 166329111/1038008, c_0011_0 - 1, c_0011_3 + 15378/129751*c_0101_4*c_0101_6^8 + 141875/259502*c_0101_4*c_0101_6^7 + 28201/259502*c_0101_4*c_0101_6^6 + 327507/259502*c_0101_4*c_0101_6^5 + 1675165/259502*c_0101_4*c_0101_6^4 + 211117/259502*c_0101_4*c_0101_6^3 + 2006023/259502*c_0101_4*c_0101_6^2 - 210171/129751*c_0101_4*c_0101_6 + 90727/129751*c_0101_4, c_0101_0 + 19205/129751*c_0101_6^8 + 174997/259502*c_0101_6^7 + 6122/129751*c_0101_6^6 + 175814/129751*c_0101_6^5 + 1036208/129751*c_0101_6^4 - 2475/129751*c_0101_6^3 + 898938/129751*c_0101_6^2 - 696263/259502*c_0101_6 - 80781/129751, c_0101_1 + 49083/259502*c_0101_6^8 + 111202/129751*c_0101_6^7 + 15099/259502*c_0101_6^6 + 476177/259502*c_0101_6^5 + 2669635/259502*c_0101_6^4 + 53939/259502*c_0101_6^3 + 1327209/129751*c_0101_6^2 - 933483/259502*c_0101_6 + 46464/129751, c_0101_2 - 18327/259502*c_0101_6^8 - 80529/259502*c_0101_6^7 + 6551/129751*c_0101_6^6 - 74335/129751*c_0101_6^5 - 497235/129751*c_0101_6^4 + 78589/129751*c_0101_6^3 - 648395/259502*c_0101_6^2 + 513141/259502*c_0101_6 + 44263/129751, c_0101_4^2 - 27941/259502*c_0101_6^8 - 57659/129751*c_0101_6^7 + 38163/259502*c_0101_6^6 - 293089/259502*c_0101_6^5 - 715108/129751*c_0101_6^4 + 628473/259502*c_0101_6^3 - 1644755/259502*c_0101_6^2 + 953599/259502*c_0101_6 - 168297/259502, c_0101_6^9 + 4*c_0101_6^8 - 2*c_0101_6^7 + 10*c_0101_6^6 + 49*c_0101_6^5 - 28*c_0101_6^4 + 60*c_0101_6^3 - 48*c_0101_6^2 + 15*c_0101_6 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB