Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 1410713965] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2447 geometric_solution 5.79112163 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 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 0.288611960436 0.779029927595 0 1 1 5 0132 3201 2310 0132 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571579163188 0.578373469773 6 0 6 4 0132 0132 0321 1023 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 -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 0.625830239314 1.341482553192 5 5 6 0 0132 0321 3012 0132 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 0 0 0 0 0 0 0 0.444724964761 0.481416367730 5 6 0 2 1023 2310 0132 1023 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 -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 0.964653163399 1.120766660098 3 4 1 3 0132 1023 0132 0321 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 0 0 0 0 0 0 0 0 0 0 1.714394340552 0.612202775089 2 3 2 4 0132 1230 0321 3201 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 -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 0.553721822742 0.237367289846 ==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_3'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_1001_6']), 'c_1100_3' : negation(d['c_1001_6']), 'c_1100_2' : d['c_1001_6'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), '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_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' : d['c_0011_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_3']})} 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_0110_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6368928/430297*c_1001_6^11 - 20527104/430297*c_1001_6^9 + 26520994/430297*c_1001_6^7 - 43155837/430297*c_1001_6^5 + 12019954/430297*c_1001_6^3 - 3911853/430297*c_1001_6, c_0011_0 - 1, c_0011_3 + 252/61471*c_1001_6^11 - 23778/61471*c_1001_6^9 + 216399/245884*c_1001_6^7 - 34811/61471*c_1001_6^5 + 361081/245884*c_1001_6^3 + 140345/245884*c_1001_6, c_0101_0 + 10360/61471*c_1001_6^10 + 5996/61471*c_1001_6^8 - 141633/122942*c_1001_6^6 + 37355/61471*c_1001_6^4 - 295805/122942*c_1001_6^2 + 29883/122942, c_0101_1 + 55544/61471*c_1001_6^10 - 182788/61471*c_1001_6^8 + 477855/122942*c_1001_6^6 - 391888/61471*c_1001_6^4 + 219755/122942*c_1001_6^2 - 19879/122942, c_0101_2 - 10864/61471*c_1001_6^10 + 41560/61471*c_1001_6^8 - 37383/61471*c_1001_6^6 + 32267/61471*c_1001_6^4 - 32638/61471*c_1001_6^2 - 23643/61471, c_0110_4 - 9500/61471*c_1001_6^11 + 53362/61471*c_1001_6^9 - 476951/245884*c_1001_6^7 + 178521/61471*c_1001_6^5 - 853533/245884*c_1001_6^3 + 426995/245884*c_1001_6, c_1001_6^12 - 7/2*c_1001_6^10 + 81/16*c_1001_6^8 - 8*c_1001_6^6 + 63/16*c_1001_6^4 - 21/16*c_1001_6^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB