Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 240096120] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3025 geometric_solution 6.19590760 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 1 0 -1 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.008431798859 1.295222208558 0 3 4 2 0132 0132 0132 1230 0 0 0 0 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 -1 0 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 0.657558086614 0.742909417136 1 5 3 0 3012 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.657558086614 0.742909417136 2 1 6 6 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859286729356 0.499764201709 6 5 5 1 0321 1302 3201 0132 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 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 1.213644595355 0.989985720150 4 2 6 4 2310 0132 0321 2031 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.213644595355 0.989985720150 4 3 5 3 0321 2310 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918091677275 0.399349927630 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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_1001_1']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_0011_6, c_0101_2, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1457632237609/23563324555*c_1001_1^13 - 1685784558213/4712664911*c_1001_1^12 - 14180607803409/23563324555*c_1001_1^11 + 11923357549698/23563324555*c_1001_1^10 + 74735598601679/23563324555*c_1001_1^9 + 88384952217369/23563324555*c_1001_1^8 + 9206266877011/23563324555*c_1001_1^7 - 99878139054999/23563324555*c_1001_1^6 - 92910641669757/23563324555*c_1001_1^5 + 6628450423987/23563324555*c_1001_1^4 + 49563523345103/23563324555*c_1001_1^3 + 2712572936376/4712664911*c_1001_1^2 - 2063944207431/4712664911*c_1001_1 - 6293753849959/23563324555, c_0011_0 - 1, c_0011_2 - 21921869/16306799*c_1001_1^13 - 128530938/16306799*c_1001_1^12 - 217210750/16306799*c_1001_1^11 + 192796406/16306799*c_1001_1^10 + 1169187716/16306799*c_1001_1^9 + 1326444468/16306799*c_1001_1^8 - 9913482/16306799*c_1001_1^7 - 1606340947/16306799*c_1001_1^6 - 1335272949/16306799*c_1001_1^5 + 333748819/16306799*c_1001_1^4 + 797301628/16306799*c_1001_1^3 + 46575346/16306799*c_1001_1^2 - 210626367/16306799*c_1001_1 - 32230688/16306799, c_0011_4 + c_1001_1, c_0011_6 - 19989288/16306799*c_1001_1^13 - 106798442/16306799*c_1001_1^12 - 146677637/16306799*c_1001_1^11 + 231498785/16306799*c_1001_1^10 + 925704873/16306799*c_1001_1^9 + 796294228/16306799*c_1001_1^8 - 240713098/16306799*c_1001_1^7 - 1267085128/16306799*c_1001_1^6 - 729521010/16306799*c_1001_1^5 + 390780446/16306799*c_1001_1^4 + 463917424/16306799*c_1001_1^3 - 12857093/16306799*c_1001_1^2 - 92342237/16306799*c_1001_1 - 26104084/16306799, c_0101_2 - 1814747/16306799*c_1001_1^13 - 3528193/16306799*c_1001_1^12 + 19574025/16306799*c_1001_1^11 + 65432170/16306799*c_1001_1^10 + 10364270/16306799*c_1001_1^9 - 212153867/16306799*c_1001_1^8 - 255871115/16306799*c_1001_1^7 - 29822779/16306799*c_1001_1^6 + 311969839/16306799*c_1001_1^5 + 241758506/16306799*c_1001_1^4 - 91118493/16306799*c_1001_1^3 - 115066781/16306799*c_1001_1^2 + 21960225/16306799*c_1001_1 + 22689962/16306799, c_0101_4 - 13806632/16306799*c_1001_1^13 - 78062630/16306799*c_1001_1^12 - 121502938/16306799*c_1001_1^11 + 140632936/16306799*c_1001_1^10 + 696152653/16306799*c_1001_1^9 + 699166478/16306799*c_1001_1^8 - 93632344/16306799*c_1001_1^7 - 924255034/16306799*c_1001_1^6 - 652070229/16306799*c_1001_1^5 + 257319743/16306799*c_1001_1^4 + 373393537/16306799*c_1001_1^3 - 27218158/16306799*c_1001_1^2 - 88837101/16306799*c_1001_1 - 9112143/16306799, c_1001_1^14 + 6*c_1001_1^13 + 11*c_1001_1^12 - 6*c_1001_1^11 - 53*c_1001_1^10 - 72*c_1001_1^9 - 20*c_1001_1^8 + 67*c_1001_1^7 + 79*c_1001_1^6 + 10*c_1001_1^5 - 35*c_1001_1^4 - 17*c_1001_1^3 + 5*c_1001_1^2 + 6*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB