Magma V2.19-8 Tue Aug 20 2013 17:56:12 on localhost [Seed = 37991886] Type ? for help. Type -D to quit. Loading file "8_12__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_12 geometric_solution 8.93585693 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 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 -1 1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194261879559 0.655479404145 0 4 5 2 0132 2103 0132 1023 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.075935877488 1.002526031911 6 0 6 1 0132 0132 3012 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141046595891 0.512053756524 7 7 5 0 0132 1230 1302 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 -1 0 1 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 0.180437967537 0.983586366249 7 1 0 8 3120 2103 0132 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 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 0.318730203742 2.298743948765 3 9 8 1 2031 0132 2031 0132 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 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 0.681269796258 2.298743948765 2 2 8 9 0132 1230 2310 1023 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 1 0 -1 -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 0.858953404109 0.512053756524 3 9 3 4 0132 3201 3012 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819562032463 0.983586366249 9 6 4 5 0213 3201 0132 1302 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 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 1.075122696672 0.991790198419 8 5 7 6 0213 0132 2310 1023 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 0 0 0 0 0 -1 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 0.253162813414 0.607562657937 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : negation(d['c_0101_6']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : 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_9' : negation(d['c_0011_3']), 'c_1100_8' : d['c_0101_5'], 'c_1100_5' : d['c_1001_6'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_1001_6'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_1001_6']), 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : negation(d['c_1001_6']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : negation(d['c_0011_5']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 5364820692059662/2768191767290543*c_1001_6^13 + 8828730494892636/2768191767290543*c_1001_6^12 + 34884689724525957/2768191767290543*c_1001_6^11 + 54973830188770499/2768191767290543*c_1001_6^10 + 165809834590853097/2768191767290543*c_1001_6^9 + 360199436699676/10941469435931*c_1001_6^8 + 103077975328570098/2768191767290543*c_1001_6^7 + 202252327839098355/2768191767290543*c_1001_6^6 - 400754206399426740/2768191767290543*c_1001_6^5 + 4949588070250689/120356163795241*c_1001_6^4 - 31302321825156102/2768191767290543*c_1001_6^3 - 567444827623988016/2768191767290543*c_1001_6^2 + 16944658529294234/120356163795241*c_1001_6 - 230328651819501028/2768191767290543, c_0011_0 - 1, c_0011_3 + 11715446134455/120356163795241*c_1001_6^13 + 26119717033066/120356163795241*c_1001_6^12 + 98439500771965/120356163795241*c_1001_6^11 + 194564250065909/120356163795241*c_1001_6^10 + 532884717024225/120356163795241*c_1001_6^9 + 56774103812045/10941469435931*c_1001_6^8 + 889870364786308/120356163795241*c_1001_6^7 + 1309497758598075/120356163795241*c_1001_6^6 + 271143139970220/120356163795241*c_1001_6^5 + 1008954547437838/120356163795241*c_1001_6^4 + 565138102804739/120356163795241*c_1001_6^3 - 658938019407705/120356163795241*c_1001_6^2 + 782053290257418/120356163795241*c_1001_6 - 297478934752123/120356163795241, c_0011_4 - 2378520997670/120356163795241*c_1001_6^13 - 9880227272084/120356163795241*c_1001_6^12 - 30408380066323/120356163795241*c_1001_6^11 - 81327460417224/120356163795241*c_1001_6^10 - 193933562229756/120356163795241*c_1001_6^9 - 33325168231061/10941469435931*c_1001_6^8 - 490076417359036/120356163795241*c_1001_6^7 - 776550087373391/120356163795241*c_1001_6^6 - 781633892046585/120356163795241*c_1001_6^5 - 609184932543512/120356163795241*c_1001_6^4 - 804849344573220/120356163795241*c_1001_6^3 - 321980558311916/120356163795241*c_1001_6^2 - 118145458517104/120356163795241*c_1001_6 - 244661788197897/120356163795241, c_0011_5 + 9312846864155/120356163795241*c_1001_6^13 + 29991441781883/120356163795241*c_1001_6^12 + 99723965307410/120356163795241*c_1001_6^11 + 231668279001580/120356163795241*c_1001_6^10 + 581940722242867/120356163795241*c_1001_6^9 + 83946485616196/10941469435931*c_1001_6^8 + 1235239386885531/120356163795241*c_1001_6^7 + 1763454021625172/120356163795241*c_1001_6^6 + 1383364522740369/120356163795241*c_1001_6^5 + 1274642327867506/120356163795241*c_1001_6^4 + 1288143949232247/120356163795241*c_1001_6^3 + 311741276092406/120356163795241*c_1001_6^2 + 245306742710426/120356163795241*c_1001_6 + 168542778092523/120356163795241, c_0101_0 - 1119171162617/120356163795241*c_1001_6^13 - 13411210400040/120356163795241*c_1001_6^12 - 38469399607455/120356163795241*c_1001_6^11 - 120790481135692/120356163795241*c_1001_6^10 - 269275285630696/120356163795241*c_1001_6^9 - 57566799419439/10941469435931*c_1001_6^8 - 873460771294200/120356163795241*c_1001_6^7 - 1205053282246259/120356163795241*c_1001_6^6 - 1574152060515356/120356163795241*c_1001_6^5 - 960772152653327/120356163795241*c_1001_6^4 - 1182520215802888/120356163795241*c_1001_6^3 - 894851455318644/120356163795241*c_1001_6^2 + 96573853900350/120356163795241*c_1001_6 - 421188369586360/120356163795241, c_0101_1 + 2999782986107/120356163795241*c_1001_6^13 - 4507369557905/120356163795241*c_1001_6^12 - 4967521260055/120356163795241*c_1001_6^11 - 56133377022125/120356163795241*c_1001_6^10 - 93947369587114/120356163795241*c_1001_6^9 - 39998531385927/10941469435931*c_1001_6^8 - 615457443723867/120356163795241*c_1001_6^7 - 821378108253674/120356163795241*c_1001_6^6 - 1625905637055042/120356163795241*c_1001_6^5 - 697797121043046/120356163795241*c_1001_6^4 - 1084120761925865/120356163795241*c_1001_6^3 - 1306818776476502/120356163795241*c_1001_6^2 + 396463041496725/120356163795241*c_1001_6 - 586514720964408/120356163795241, c_0101_2 + 7805624577951/120356163795241*c_1001_6^13 + 20308236603822/120356163795241*c_1001_6^12 + 71229301615629/120356163795241*c_1001_6^11 + 151354296212949/120356163795241*c_1001_6^10 + 398711463146286/120356163795241*c_1001_6^9 + 48872302763514/10941469435931*c_1001_6^8 + 729299976872996/120356163795241*c_1001_6^7 + 1074789950849115/120356163795241*c_1001_6^6 + 569456064333676/120356163795241*c_1001_6^5 + 759101801173851/120356163795241*c_1001_6^4 + 683740163214169/120356163795241*c_1001_6^3 - 149759052462801/120356163795241*c_1001_6^2 + 243734314572384/120356163795241*c_1001_6 - 10429613444237/120356163795241, c_0101_5 + 10425220797660/120356163795241*c_1001_6^13 + 22910301678746/120356163795241*c_1001_6^12 + 84621982010321/120356163795241*c_1001_6^11 + 164425621433398/120356163795241*c_1001_6^10 + 448514700669889/120356163795241*c_1001_6^9 + 45572418238339/10941469435931*c_1001_6^8 + 666349260101381/120356163795241*c_1001_6^7 + 1010264585850613/120356163795241*c_1001_6^6 + 41309984975300/120356163795241*c_1001_6^5 + 701022375478741/120356163795241*c_1001_6^4 + 349895619856260/120356163795241*c_1001_6^3 - 747818584033498/120356163795241*c_1001_6^2 + 664147562571363/120356163795241*c_1001_6 - 439462281415643/120356163795241, c_0101_6 - 13874179026974/120356163795241*c_1001_6^13 - 38173578851608/120356163795241*c_1001_6^12 - 133903733894538/120356163795241*c_1001_6^11 - 292734667414931/120356163795241*c_1001_6^10 - 761015319593280/120356163795241*c_1001_6^9 - 98793357810063/10941469435931*c_1001_6^8 - 1500237490563857/120356163795241*c_1001_6^7 - 2164760595014573/120356163795241*c_1001_6^6 - 1301622345417067/120356163795241*c_1001_6^5 - 1609092215023362/120356163795241*c_1001_6^4 - 1450228042935337/120356163795241*c_1001_6^3 + 149574825114804/120356163795241*c_1001_6^2 - 801578019540065/120356163795241*c_1001_6 - 53683685384507/120356163795241, c_1001_6^14 + 2*c_1001_6^13 + 8*c_1001_6^12 + 15*c_1001_6^11 + 43*c_1001_6^10 + 46*c_1001_6^9 + 72*c_1001_6^8 + 108*c_1001_6^7 + 21*c_1001_6^6 + 113*c_1001_6^5 + 54*c_1001_6^4 - 36*c_1001_6^3 + 103*c_1001_6^2 - 44*c_1001_6 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB