Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 206410046] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2763 geometric_solution 5.99853900 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 -1 0 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 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 1.530017532089 1.260617117953 3 0 2 4 0132 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.030951463543 0.464069121078 1 5 6 0 2031 0132 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 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 0 0 0 0 0 0.680972590215 0.650422922355 1 6 3 3 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702077908459 1.553960704902 6 5 1 6 1023 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.195571680392 0.964805789032 5 2 5 4 2310 0132 3201 2031 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711906570763 0.689176419226 4 4 3 2 3012 1023 2310 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 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 0 0 0 0 0 0.316613035016 0.379070684043 ==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_0011_0'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_2']), '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_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0101_5']), '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_2, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 146/195*c_0101_5^12 + 2177/195*c_0101_5^11 + 13783/195*c_0101_5^10 + 9853/39*c_0101_5^9 + 37502/65*c_0101_5^8 + 57139/65*c_0101_5^7 + 149477/195*c_0101_5^6 + 392/39*c_0101_5^5 - 116893/195*c_0101_5^4 - 64304/195*c_0101_5^3 - 2603/39*c_0101_5^2 + 4107/65*c_0101_5 + 88/195, c_0011_0 - 1, c_0011_2 + 56/15*c_0101_5^12 + 204/5*c_0101_5^11 + 2428/15*c_0101_5^10 + 751/3*c_0101_5^9 + 131/15*c_0101_5^8 - 4543/15*c_0101_5^7 - 701/5*c_0101_5^6 + 48*c_0101_5^5 + 1322/15*c_0101_5^4 - 14/15*c_0101_5^3 - 8*c_0101_5^2 - 4/15*c_0101_5 + 23/15, c_0011_4 - 23/15*c_0101_5^12 - 251/15*c_0101_5^11 - 994/15*c_0101_5^10 - 307/3*c_0101_5^9 - 21/5*c_0101_5^8 + 608/5*c_0101_5^7 + 859/15*c_0101_5^6 - 53/3*c_0101_5^5 - 611/15*c_0101_5^4 - 28/15*c_0101_5^3 + 11/3*c_0101_5^2 + 9/5*c_0101_5 - 4/15, c_0101_0 + 7/5*c_0101_5^12 + 74/5*c_0101_5^11 + 276/5*c_0101_5^10 + 72*c_0101_5^9 - 148/5*c_0101_5^8 - 541/5*c_0101_5^7 + 9/5*c_0101_5^6 + 40*c_0101_5^5 + 64/5*c_0101_5^4 - 83/5*c_0101_5^3 - 3*c_0101_5^2 + 17/5*c_0101_5 + 1/5, c_0101_2 + 4*c_0101_5^12 + 44*c_0101_5^11 + 529/3*c_0101_5^10 + 835/3*c_0101_5^9 + 61/3*c_0101_5^8 - 333*c_0101_5^7 - 490/3*c_0101_5^6 + 66*c_0101_5^5 + 314/3*c_0101_5^4 - 4/3*c_0101_5^3 - 52/3*c_0101_5^2 - c_0101_5 + 5/3, c_0101_3 + 1/3*c_0101_5^12 + 14/3*c_0101_5^11 + 77/3*c_0101_5^10 + 202/3*c_0101_5^9 + 221/3*c_0101_5^8 - 34/3*c_0101_5^7 - 232/3*c_0101_5^6 - 89/3*c_0101_5^5 + 28/3*c_0101_5^4 + 47/3*c_0101_5^3 - 1/3*c_0101_5^2 - 1/3*c_0101_5, c_0101_5^13 + 14*c_0101_5^12 + 77*c_0101_5^11 + 201*c_0101_5^10 + 211*c_0101_5^9 - 71*c_0101_5^8 - 289*c_0101_5^7 - 106*c_0101_5^6 + 67*c_0101_5^5 + 75*c_0101_5^4 - 3*c_0101_5^3 - 9*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB