Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 2000087975] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1200 geometric_solution 5.09130129 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 1 -1 0 1 0 0 -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 -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 -0.702664246650 0.301133869734 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 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 1.180094124064 1.239051397636 4 3 1 5 0132 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.424098014813 0.360282682583 2 4 6 1 1302 2310 0132 0132 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 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 0.362875295124 0.393782892239 2 5 6 3 0132 0321 0321 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388527203107 0.351762564463 6 6 2 4 0132 3120 0132 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228755436780 0.706867363088 5 5 4 3 0132 3120 0321 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 0.228755436780 0.706867363088 ==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' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1001_4'], 'c_1100_5' : d['c_1001_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : d['c_1001_4'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), '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_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_2']), 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 395793075/47772868*c_1001_4^14 + 952385009/47772868*c_1001_4^13 + 4123846333/47772868*c_1001_4^12 - 5109305287/23886434*c_1001_4^11 - 1406952411/3674836*c_1001_4^10 + 11540920112/11943217*c_1001_4^9 + 10952594980/11943217*c_1001_4^8 - 26788833055/11943217*c_1001_4^7 - 69872576835/47772868*c_1001_4^6 + 68595163517/23886434*c_1001_4^5 + 39799958243/23886434*c_1001_4^4 - 24831707289/11943217*c_1001_4^3 - 8598514840/11943217*c_1001_4^2 + 7645621470/11943217*c_1001_4 - 3068806528/11943217, c_0011_0 - 1, c_0011_2 + 113609/5679292*c_1001_4^14 - 497419/11358584*c_1001_4^13 - 2142365/11358584*c_1001_4^12 + 5310973/11358584*c_1001_4^11 + 3963371/5679292*c_1001_4^10 - 23985853/11358584*c_1001_4^9 - 7109509/5679292*c_1001_4^8 + 13951463/2839646*c_1001_4^7 + 9043237/5679292*c_1001_4^6 - 74473081/11358584*c_1001_4^5 - 3103308/1419823*c_1001_4^4 + 32061573/5679292*c_1001_4^3 + 1842786/1419823*c_1001_4^2 - 263437/167038*c_1001_4 + 510589/1419823, c_0011_3 + 40253/5679292*c_1001_4^14 + 1018565/11358584*c_1001_4^13 - 2127511/11358584*c_1001_4^12 - 11134681/11358584*c_1001_4^11 + 1923281/1419823*c_1001_4^10 + 51404867/11358584*c_1001_4^9 - 13014963/2839646*c_1001_4^8 - 15926459/1419823*c_1001_4^7 + 41035861/5679292*c_1001_4^6 + 191141511/11358584*c_1001_4^5 - 22888021/5679292*c_1001_4^4 - 79597063/5679292*c_1001_4^3 + 1584647/2839646*c_1001_4^2 + 551193/167038*c_1001_4 - 1625549/1419823, c_0011_5 - 9955/1419823*c_1001_4^14 - 325615/11358584*c_1001_4^13 + 1399705/11358584*c_1001_4^12 + 3534989/11358584*c_1001_4^11 - 4692877/5679292*c_1001_4^10 - 16234687/11358584*c_1001_4^9 + 4102337/1419823*c_1001_4^8 + 5055374/1419823*c_1001_4^7 - 7634282/1419823*c_1001_4^6 - 62425367/11358584*c_1001_4^5 + 28457365/5679292*c_1001_4^4 + 26954531/5679292*c_1001_4^3 - 6583453/2839646*c_1001_4^2 - 187603/167038*c_1001_4 + 972841/1419823, c_0101_0 - 239353/11358584*c_1001_4^14 + 96503/11358584*c_1001_4^13 + 3143195/11358584*c_1001_4^12 - 151655/1419823*c_1001_4^11 - 16959279/11358584*c_1001_4^10 + 3060911/5679292*c_1001_4^9 + 12111025/2839646*c_1001_4^8 - 7042191/5679292*c_1001_4^7 - 80135661/11358584*c_1001_4^6 + 5516541/5679292*c_1001_4^5 + 39992733/5679292*c_1001_4^4 - 3561335/5679292*c_1001_4^3 - 10151841/2839646*c_1001_4^2 + 128812/83519*c_1001_4 + 405231/1419823, c_0101_1 + 709423/11358584*c_1001_4^14 - 1179493/11358584*c_1001_4^13 - 7660803/11358584*c_1001_4^12 + 5948769/5679292*c_1001_4^11 + 35102891/11358584*c_1001_4^10 - 25047371/5679292*c_1001_4^9 - 43006165/5679292*c_1001_4^8 + 51954849/5679292*c_1001_4^7 + 130054271/11358584*c_1001_4^6 - 54525209/5679292*c_1001_4^5 - 14655726/1419823*c_1001_4^4 + 31918195/5679292*c_1001_4^3 + 6388997/2839646*c_1001_4^2 - 181197/83519*c_1001_4 + 1824077/1419823, c_1001_4^15 - 3*c_1001_4^14 - 9*c_1001_4^13 + 32*c_1001_4^12 + 31*c_1001_4^11 - 144*c_1001_4^10 - 42*c_1001_4^9 + 336*c_1001_4^8 + 17*c_1001_4^7 - 450*c_1001_4^6 + 4*c_1001_4^5 + 368*c_1001_4^4 - 64*c_1001_4^3 - 128*c_1001_4^2 + 80*c_1001_4 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB