Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 1949689974] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s419 geometric_solution 4.69310157 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.792207203393 0.625350293581 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 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 1.005644227705 1.568753461593 4 3 1 3 0132 2031 0132 3012 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 0 0 0 -1 0 1 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 0.632784362019 0.687402868185 2 4 2 1 1302 3201 1230 0132 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 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 0.632784362019 0.687402868185 2 5 3 5 0132 0132 2310 2310 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 0 0 0 0 0.547595850297 1.037429073651 4 4 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483155826712 0.148993317812 ==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_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_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_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], '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_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), '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' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 13253748749597490/240652836924673*c_0110_5^18 + 56062025404975867/240652836924673*c_0110_5^17 + 66436400141642701/240652836924673*c_0110_5^16 - 478223379617458770/240652836924673*c_0110_5^15 - 154614368185286446/240652836924673*c_0110_5^14 + 2109063875500399754/240652836924673*c_0110_5^13 - 138857206595932573/240652836924673*c_0110_5^12 - 5795945389967695386/240652836924673*c_0110_5^11 + 3143903212588603752/240652836924673*c_0110_5^10 + 8094347874648689775/240652836924673*c_0110_5^9 - 8401675818709919390/240652836924673*c_0110_5^8 - 4779416822104015966/240652836924673*c_0110_5^7 + 8516434191400687502/240652836924673*c_0110_5^6 + 2136694558974824707/240652836924673*c_0110_5^5 - 4731897456252226107/240652836924673*c_0110_5^4 - 650080329370763051/240652836924673*c_0110_5^3 + 1032667470569297116/240652836924673*c_0110_5^2 + 59760002027703891/240652836924673*c_0110_5 - 56991052949937429/240652836924673, c_0011_0 - 1, c_0011_2 + 127495542663825/240652836924673*c_0110_5^18 - 552958819831813/240652836924673*c_0110_5^17 - 564459339861699/240652836924673*c_0110_5^16 + 4643892346094140/240652836924673*c_0110_5^15 + 805729460937886/240652836924673*c_0110_5^14 - 20284037413322648/240652836924673*c_0110_5^13 + 4514346850028914/240652836924673*c_0110_5^12 + 55109223462444704/240652836924673*c_0110_5^11 - 39201227193477282/240652836924673*c_0110_5^10 - 73193172109710636/240652836924673*c_0110_5^9 + 94011595348928529/240652836924673*c_0110_5^8 + 33907662428858483/240652836924673*c_0110_5^7 - 91544703520110213/240652836924673*c_0110_5^6 - 6865809507877029/240652836924673*c_0110_5^5 + 51698056517973583/240652836924673*c_0110_5^4 - 1788813295266911/240652836924673*c_0110_5^3 - 12631220210927821/240652836924673*c_0110_5^2 + 923294370127600/240652836924673*c_0110_5 + 708722924297683/240652836924673, c_0101_0 + 169834654591884/240652836924673*c_0110_5^18 - 736825307832259/240652836924673*c_0110_5^17 - 765358554760455/240652836924673*c_0110_5^16 + 6203340386205906/240652836924673*c_0110_5^15 + 1241794131947115/240652836924673*c_0110_5^14 - 27118621546734400/240652836924673*c_0110_5^13 + 5066552511810157/240652836924673*c_0110_5^12 + 73633490176218715/240652836924673*c_0110_5^11 - 49269118810997063/240652836924673*c_0110_5^10 - 98150671152976508/240652836924673*c_0110_5^9 + 119895207214892241/240652836924673*c_0110_5^8 + 47604157266335647/240652836924673*c_0110_5^7 - 116040543963514430/240652836924673*c_0110_5^6 - 13804807737129736/240652836924673*c_0110_5^5 + 64088932909055125/240652836924673*c_0110_5^4 + 760465111403396/240652836924673*c_0110_5^3 - 14294585070016272/240652836924673*c_0110_5^2 + 814029453721351/240652836924673*c_0110_5 + 780163340804399/240652836924673, c_0101_1 - 110946223921593/240652836924673*c_0110_5^18 + 480957005194554/240652836924673*c_0110_5^17 + 499393921143694/240652836924673*c_0110_5^16 - 4028922449399100/240652836924673*c_0110_5^15 - 833152159184834/240652836924673*c_0110_5^14 + 17496085025703167/240652836924673*c_0110_5^13 - 3137244713097600/240652836924673*c_0110_5^12 - 47049046366722474/240652836924673*c_0110_5^11 + 31505988751746859/240652836924673*c_0110_5^10 + 61205949269089228/240652836924673*c_0110_5^9 - 76069805033360452/240652836924673*c_0110_5^8 - 26927481186475740/240652836924673*c_0110_5^7 + 70844730846019949/240652836924673*c_0110_5^6 + 6311919211949935/240652836924673*c_0110_5^5 - 36072537152593790/240652836924673*c_0110_5^4 + 634824467761718/240652836924673*c_0110_5^3 + 6511828975113415/240652836924673*c_0110_5^2 - 847936931894869/240652836924673*c_0110_5 - 205877239587564/240652836924673, c_0101_4 - 20113082566540/240652836924673*c_0110_5^18 + 44170466462352/240652836924673*c_0110_5^17 + 240784781673643/240652836924673*c_0110_5^16 - 441504100117212/240652836924673*c_0110_5^15 - 1396771520443242/240652836924673*c_0110_5^14 + 2081607467713304/240652836924673*c_0110_5^13 + 4752936717714287/240652836924673*c_0110_5^12 - 6581431219053299/240652836924673*c_0110_5^11 - 8836640914760021/240652836924673*c_0110_5^10 + 14406146238017340/240652836924673*c_0110_5^9 + 7211281878807520/240652836924673*c_0110_5^8 - 19688704554857359/240652836924673*c_0110_5^7 - 1526985154332535/240652836924673*c_0110_5^6 + 15679161597885995/240652836924673*c_0110_5^5 + 1653926611631024/240652836924673*c_0110_5^4 - 6981347615628460/240652836924673*c_0110_5^3 - 1527505846459743/240652836924673*c_0110_5^2 + 949158715270602/240652836924673*c_0110_5 + 114172701098932/240652836924673, c_0110_5^19 - 4*c_0110_5^18 - 6*c_0110_5^17 + 35*c_0110_5^16 + 20*c_0110_5^15 - 157*c_0110_5^14 - 26*c_0110_5^13 + 442*c_0110_5^12 - 138*c_0110_5^11 - 671*c_0110_5^10 + 500*c_0110_5^9 + 512*c_0110_5^8 - 572*c_0110_5^7 - 308*c_0110_5^6 + 329*c_0110_5^5 + 129*c_0110_5^4 - 71*c_0110_5^3 - 21*c_0110_5^2 + 4*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB