Magma V2.19-8 Tue Aug 20 2013 16:17:56 on localhost [Seed = 2581071198] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2161 geometric_solution 5.63684219 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 0 0 0 0 0 -1 0 1 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 -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 1.513558432335 1.479061346634 2 0 0 3 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 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 1 0 -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 0.162870194634 0.202596326340 1 4 5 4 0132 0132 0132 2103 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 0 0 0 0 -1 0 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 0.175596022496 1.809320903404 5 5 1 4 0132 0213 0132 2310 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 0 0 0 0 0 0 0 0 0 0 1.975459856501 1.536829106633 3 2 6 2 3201 0132 0132 2103 0 0 0 0 0 0 1 -1 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 1 -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 0.499258853553 0.527495085304 3 6 3 2 0132 2103 0213 0132 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 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 0 0 0.403445314996 0.914938460512 6 5 6 4 2031 2103 1302 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 1 -1 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 0.810454158549 0.667041553565 ==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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0011_6']), '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_0110_4']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_6'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_1001_2']), 'c_1010_1' : d['c_0011_6'], '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_0011_6, c_0101_0, c_0101_2, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 138343258424202/642450132563*c_1001_2^14 + 659545736754288/642450132563*c_1001_2^13 + 402574104666899/642450132563*c_1001_2^12 + 58725869698289/642450132563*c_1001_2^11 + 2769877353578662/642450132563*c_1001_2^10 - 2016487903864496/642450132563*c_1001_2^9 + 2325236660939303/642450132563*c_1001_2^8 - 2061018963077613/642450132563*c_1001_2^7 - 1279930195065634/642450132563*c_1001_2^6 - 4831403296496628/642450132563*c_1001_2^5 - 1950591235482328/642450132563*c_1001_2^4 + 756450932911351/642450132563*c_1001_2^3 + 2904796851965160/642450132563*c_1001_2^2 - 33600215205735/642450132563*c_1001_2 - 512967396801804/642450132563, c_0011_0 - 1, c_0011_3 - 5244237460/22153452847*c_1001_2^14 - 38351483292/22153452847*c_1001_2^13 - 83608702773/22153452847*c_1001_2^12 - 67208928165/22153452847*c_1001_2^11 - 143373172690/22153452847*c_1001_2^10 - 210638075943/22153452847*c_1001_2^9 + 3417478225/22153452847*c_1001_2^8 - 156472320233/22153452847*c_1001_2^7 + 189503744507/22153452847*c_1001_2^6 + 313438574918/22153452847*c_1001_2^5 + 622053651415/22153452847*c_1001_2^4 + 356715318660/22153452847*c_1001_2^3 + 41783887009/22153452847*c_1001_2^2 - 191416757993/22153452847*c_1001_2 - 43723331887/22153452847, c_0011_6 + 23664600418/22153452847*c_1001_2^14 + 122263007692/22153452847*c_1001_2^13 + 120663585064/22153452847*c_1001_2^12 + 72261480742/22153452847*c_1001_2^11 + 511054838082/22153452847*c_1001_2^10 - 135870184891/22153452847*c_1001_2^9 + 405575863133/22153452847*c_1001_2^8 - 238458166428/22153452847*c_1001_2^7 - 233958293507/22153452847*c_1001_2^6 - 990622814725/22153452847*c_1001_2^5 - 719166810866/22153452847*c_1001_2^4 - 280459747287/22153452847*c_1001_2^3 + 338781703679/22153452847*c_1001_2^2 + 121614959613/22153452847*c_1001_2 + 8874209378/22153452847, c_0101_0 + 20139258820/22153452847*c_1001_2^14 + 100695010296/22153452847*c_1001_2^13 + 84075403583/22153452847*c_1001_2^12 + 38091831729/22153452847*c_1001_2^11 + 419902649433/22153452847*c_1001_2^10 - 189767849453/22153452847*c_1001_2^9 + 338106043919/22153452847*c_1001_2^8 - 249486904434/22153452847*c_1001_2^7 - 194084078845/22153452847*c_1001_2^6 - 795045291617/22153452847*c_1001_2^5 - 478245425049/22153452847*c_1001_2^4 - 87193618965/22153452847*c_1001_2^3 + 348068231000/22153452847*c_1001_2^2 + 59552937297/22153452847*c_1001_2 - 31775046993/22153452847, c_0101_2 + 18730189796/22153452847*c_1001_2^14 + 93340915296/22153452847*c_1001_2^13 + 78599739808/22153452847*c_1001_2^12 + 44284451903/22153452847*c_1001_2^11 + 399169832475/22153452847*c_1001_2^10 - 181705221637/22153452847*c_1001_2^9 + 357231078008/22153452847*c_1001_2^8 - 244972510678/22153452847*c_1001_2^7 - 165686739533/22153452847*c_1001_2^6 - 742303567028/22153452847*c_1001_2^5 - 462384039417/22153452847*c_1001_2^4 - 156157651697/22153452847*c_1001_2^3 + 300469607171/22153452847*c_1001_2^2 + 55789946873/22153452847*c_1001_2 + 13282622342/22153452847, c_0110_4 + 3629971918/22153452847*c_1001_2^14 + 29684164016/22153452847*c_1001_2^13 + 74151142431/22153452847*c_1001_2^12 + 62328866277/22153452847*c_1001_2^11 + 106372495612/22153452847*c_1001_2^10 + 211674668359/22153452847*c_1001_2^9 - 17087984752/22153452847*c_1001_2^8 + 151487239742/22153452847*c_1001_2^7 - 164319143835/22153452847*c_1001_2^6 - 248865465575/22153452847*c_1001_2^5 - 563801769626/22153452847*c_1001_2^4 - 335828864072/22153452847*c_1001_2^3 - 34569044584/22153452847*c_1001_2^2 + 191735992576/22153452847*c_1001_2 + 42394790214/22153452847, c_1001_2^15 + 5*c_1001_2^14 + 4*c_1001_2^13 + c_1001_2^12 + 20*c_1001_2^11 - 10*c_1001_2^10 + 13*c_1001_2^9 - 11*c_1001_2^8 - 13*c_1001_2^7 - 37*c_1001_2^6 - 22*c_1001_2^5 + 3*c_1001_2^4 + 23*c_1001_2^3 + 5*c_1001_2^2 - 4*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB