Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 829467661] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2695 geometric_solution 5.94995970 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 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 1.024801551983 0.821967186583 0 5 5 6 0132 0132 3201 0132 0 0 0 0 0 0 1 -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 -1 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 0.405303530000 0.268822706104 2 0 2 6 2031 0132 1302 1023 0 0 0 0 0 1 -1 0 1 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 0.647481207683 0.967778523683 6 3 3 0 0132 1230 3012 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 1.058770527587 0.613981446505 4 6 0 4 3012 0132 0132 1230 0 0 0 0 0 1 -1 0 0 0 0 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 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 0.612362680674 0.716318255401 1 1 5 5 2310 0132 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.560538485476 1.013753039958 3 4 1 2 0132 0132 0132 1023 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 1.024801551983 0.821967186583 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_2'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0110_2']})} 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_3, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 160044443243/1875302854*c_0110_2^19 - 312084875247/937651427*c_0110_2^18 - 1116089624091/1875302854*c_0110_2^17 + 7653679447427/1875302854*c_0110_2^16 - 2491979886363/1875302854*c_0110_2^15 - 33445678285285/1875302854*c_0110_2^14 + 40078066849539/1875302854*c_0110_2^13 + 30176713167428/937651427*c_0110_2^12 - 67291993363785/937651427*c_0110_2^11 - 14421546483311/1875302854*c_0110_2^10 + 201496796413519/1875302854*c_0110_2^9 - 50394415732093/937651427*c_0110_2^8 - 65465465692299/937651427*c_0110_2^7 + 135041497919429/1875302854*c_0110_2^6 + 17995982876891/1875302854*c_0110_2^5 - 33050944385266/937651427*c_0110_2^4 + 7208814789074/937651427*c_0110_2^3 + 6736182963551/937651427*c_0110_2^2 - 6896939410691/1875302854*c_0110_2 + 382093556953/937651427, c_0011_0 - 1, c_0011_3 + 172326365/137217282*c_0110_2^19 - 242823292/68608641*c_0110_2^18 - 605475381/45739094*c_0110_2^17 + 6558788129/137217282*c_0110_2^16 + 5246139113/137217282*c_0110_2^15 - 11336564075/45739094*c_0110_2^14 + 1681141197/45739094*c_0110_2^13 + 44127473777/68608641*c_0110_2^12 - 29420877880/68608641*c_0110_2^11 - 119967184969/137217282*c_0110_2^10 + 44301489099/45739094*c_0110_2^9 + 12727027790/22869547*c_0110_2^8 - 70491150356/68608641*c_0110_2^7 - 9725355665/137217282*c_0110_2^6 + 78370131991/137217282*c_0110_2^5 - 5960758240/68608641*c_0110_2^4 - 3902414982/22869547*c_0110_2^3 + 1053303441/22869547*c_0110_2^2 + 2791675363/137217282*c_0110_2 - 362001500/68608641, c_0101_0 - 138583307/68608641*c_0110_2^19 + 353951516/68608641*c_0110_2^18 + 514997879/22869547*c_0110_2^17 - 4850786717/68608641*c_0110_2^16 - 5371611125/68608641*c_0110_2^15 + 8561928373/22869547*c_0110_2^14 + 681538990/22869547*c_0110_2^13 - 68914598638/68608641*c_0110_2^12 + 30852613688/68608641*c_0110_2^11 + 99767128567/68608641*c_0110_2^10 - 27499233774/22869547*c_0110_2^9 - 24804347946/22869547*c_0110_2^8 + 93958771528/68608641*c_0110_2^7 + 23380413278/68608641*c_0110_2^6 - 55385586598/68608641*c_0110_2^5 + 846014297/68608641*c_0110_2^4 + 5910137840/22869547*c_0110_2^3 - 936896573/22869547*c_0110_2^2 - 2338278172/68608641*c_0110_2 + 398488459/68608641, c_0101_1 + 41231798/68608641*c_0110_2^19 - 232550125/137217282*c_0110_2^18 - 139237318/22869547*c_0110_2^17 + 3084912535/137217282*c_0110_2^16 + 2086200337/137217282*c_0110_2^15 - 5168086735/45739094*c_0110_2^14 + 1470215721/45739094*c_0110_2^13 + 38042287037/137217282*c_0110_2^12 - 16283332481/68608641*c_0110_2^11 - 22919105293/68608641*c_0110_2^10 + 22581807343/45739094*c_0110_2^9 + 6313542857/45739094*c_0110_2^8 - 33706169017/68608641*c_0110_2^7 + 5039352634/68608641*c_0110_2^6 + 34950206189/137217282*c_0110_2^5 - 12478074757/137217282*c_0110_2^4 - 1651707548/22869547*c_0110_2^3 + 801557513/22869547*c_0110_2^2 + 572627563/68608641*c_0110_2 - 461677049/137217282, c_0101_3 + c_0110_2^2 - 1, c_0101_5 + 159170933/137217282*c_0110_2^19 - 451783469/137217282*c_0110_2^18 - 553360803/45739094*c_0110_2^17 + 3055952791/68608641*c_0110_2^16 + 2278258822/68608641*c_0110_2^15 - 5286955545/22869547*c_0110_2^14 + 1099694451/22869547*c_0110_2^13 + 82146939007/137217282*c_0110_2^12 - 30626492620/68608641*c_0110_2^11 - 110279279407/137217282*c_0110_2^10 + 22824357617/22869547*c_0110_2^9 + 21959390155/45739094*c_0110_2^8 - 73710352373/68608641*c_0110_2^7 - 714521147/137217282*c_0110_2^6 + 42224217932/68608641*c_0110_2^5 - 17668608863/137217282*c_0110_2^4 - 4402898513/22869547*c_0110_2^3 + 1400151164/22869547*c_0110_2^2 + 3504683587/137217282*c_0110_2 - 967711285/137217282, c_0110_2^20 - 3*c_0110_2^19 - 10*c_0110_2^18 + 40*c_0110_2^17 + 23*c_0110_2^16 - 203*c_0110_2^15 + 69*c_0110_2^14 + 506*c_0110_2^13 - 449*c_0110_2^12 - 627*c_0110_2^11 + 928*c_0110_2^10 + 282*c_0110_2^9 - 935*c_0110_2^8 + 123*c_0110_2^7 + 490*c_0110_2^6 - 176*c_0110_2^5 - 133*c_0110_2^4 + 72*c_0110_2^3 + 11*c_0110_2^2 - 9*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB