Magma V2.19-8 Tue Aug 20 2013 23:57:52 on localhost [Seed = 981226136] Type ? for help. Type -D to quit. Loading file "L14n37561__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n37561 geometric_solution 11.32967464 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 0 1 0 -1 0 0 1 -1 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413529802129 0.856238636926 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 -4 4 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746809226872 0.789952560306 8 0 7 6 0132 0132 3012 0321 1 1 1 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 0 1 0 0 0 0 -1 0 0 1 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045550895440 0.887901136154 4 8 9 0 1023 1302 0132 0132 1 1 1 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 -3 0 4 -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 0.427108664828 0.574386732648 10 3 0 6 0132 1023 0132 1230 1 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 0 0 0 0 0 0 0 0 0 0 0 3 1 -4 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 0.987244529306 0.909496449459 8 1 7 9 1023 0132 3120 0321 1 1 0 1 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 -4 0 4 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 -0.031487575100 0.675995984241 4 2 1 11 3012 0321 0132 0132 1 1 1 1 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 -1 1 0 4 0 -4 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 0.724341569282 0.873717817197 10 2 5 1 3120 1230 3120 0132 1 1 0 1 0 0 0 0 0 0 1 -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 -4 4 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715026206425 0.456280998828 2 5 11 3 0132 1023 3012 2031 1 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 4 -4 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564671165945 1.505516402511 10 5 11 3 1023 0321 1302 0132 1 1 0 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327936546258 0.705905667587 4 9 11 7 0132 1023 1230 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375647635099 1.086819397645 9 8 6 10 2031 1230 0132 3012 1 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875826564365 0.560457853766 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : negation(d['c_0011_10']), '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' : 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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_7']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2907682537697701/148466924361536*c_1001_5^12 + 12017911458089329/37116731090384*c_1001_5^11 - 3299636272953207/1687124140472*c_1001_5^10 + 58642300252105813/13496993123776*c_1001_5^9 - 855370509081031551/148466924361536*c_1001_5^8 + 849471865321110259/148466924361536*c_1001_5^7 - 182356864390009813/37116731090384*c_1001_5^6 + 529273901454661309/148466924361536*c_1001_5^5 - 36736712320157071/18558365545192*c_1001_5^4 + 65890651503795157/74233462180768*c_1001_5^3 - 52194585602370231/148466924361536*c_1001_5^2 + 17996458442619257/148466924361536*c_1001_5 - 3434605593887609/148466924361536, c_0011_0 - 1, c_0011_10 + 134841/92987*c_1001_5^12 - 8933813/371948*c_1001_5^11 + 53743373/371948*c_1001_5^10 - 115295921/371948*c_1001_5^9 + 65328661/185974*c_1001_5^8 - 116280467/371948*c_1001_5^7 + 44034125/185974*c_1001_5^6 - 13863702/92987*c_1001_5^5 + 17130627/371948*c_1001_5^4 - 4424573/371948*c_1001_5^3 + 586313/371948*c_1001_5^2 - 44198/92987*c_1001_5 - 528843/371948, c_0011_11 + 138649/92987*c_1001_5^12 - 2137662/92987*c_1001_5^11 + 11442916/92987*c_1001_5^10 - 17735666/92987*c_1001_5^9 + 19976227/92987*c_1001_5^8 - 18895127/92987*c_1001_5^7 + 15758711/92987*c_1001_5^6 - 9342117/92987*c_1001_5^5 + 4709640/92987*c_1001_5^4 - 2186565/92987*c_1001_5^3 + 559868/92987*c_1001_5^2 - 85686/92987*c_1001_5 + 5835/92987, c_0011_6 + 61117/185974*c_1001_5^12 - 346389/92987*c_1001_5^11 + 584045/92987*c_1001_5^10 + 13299415/185974*c_1001_5^9 - 26604541/185974*c_1001_5^8 + 36371137/185974*c_1001_5^7 - 17307500/92987*c_1001_5^6 + 31778397/185974*c_1001_5^5 - 10252135/92987*c_1001_5^4 + 5797305/92987*c_1001_5^3 - 4760793/185974*c_1001_5^2 + 1902215/185974*c_1001_5 - 430059/185974, c_0011_7 - 3832819/371948*c_1001_5^12 + 15921449/92987*c_1001_5^11 - 194416299/185974*c_1001_5^10 + 894462767/371948*c_1001_5^9 - 1263426569/371948*c_1001_5^8 + 1310688859/371948*c_1001_5^7 - 579491455/185974*c_1001_5^6 + 853263457/371948*c_1001_5^5 - 249285419/185974*c_1001_5^4 + 113320961/185974*c_1001_5^3 - 93406429/371948*c_1001_5^2 + 32166285/371948*c_1001_5 - 7495367/371948, c_0101_0 - 1, c_0101_1 + 3011113/371948*c_1001_5^12 - 50545059/371948*c_1001_5^11 + 313556335/371948*c_1001_5^10 - 186925571/92987*c_1001_5^9 + 1071530127/371948*c_1001_5^8 - 279372418/92987*c_1001_5^7 + 246402169/92987*c_1001_5^6 - 727142179/371948*c_1001_5^5 + 422798811/371948*c_1001_5^4 - 188968299/371948*c_1001_5^3 + 37933969/185974*c_1001_5^2 - 25479121/371948*c_1001_5 + 3019563/185974, c_0101_11 - 44833/92987*c_1001_5^12 + 1051200/92987*c_1001_5^11 - 9418804/92987*c_1001_5^10 + 38012865/92987*c_1001_5^9 - 65903815/92987*c_1001_5^8 + 76405244/92987*c_1001_5^7 - 71574893/92987*c_1001_5^6 + 58186077/92987*c_1001_5^5 - 37202250/92987*c_1001_5^4 + 17888476/92987*c_1001_5^3 - 7740371/92987*c_1001_5^2 + 2545498/92987*c_1001_5 - 753871/92987, c_0101_2 + 599229/185974*c_1001_5^12 - 20194517/371948*c_1001_5^11 + 126125455/371948*c_1001_5^10 - 306235579/371948*c_1001_5^9 + 224952529/185974*c_1001_5^8 - 484117151/371948*c_1001_5^7 + 217474455/185974*c_1001_5^6 - 164101719/185974*c_1001_5^5 + 197226047/371948*c_1001_5^4 - 92467311/371948*c_1001_5^3 + 36982611/371948*c_1001_5^2 - 3092574/92987*c_1001_5 + 3034453/371948, c_0101_7 - 42129/92987*c_1001_5^12 + 1046647/92987*c_1001_5^11 - 9649440/92987*c_1001_5^10 + 38939531/92987*c_1001_5^9 - 61020669/92987*c_1001_5^8 + 68848046/92987*c_1001_5^7 - 61808833/92987*c_1001_5^6 + 50792748/92987*c_1001_5^5 - 30125754/92987*c_1001_5^4 + 14624409/92987*c_1001_5^3 - 5930685/92987*c_1001_5^2 + 2322250/92987*c_1001_5 - 448482/92987, c_1001_0 + 263381/185974*c_1001_5^12 - 2193605/92987*c_1001_5^11 + 13383029/92987*c_1001_5^10 - 60548539/185974*c_1001_5^9 + 79005779/185974*c_1001_5^8 - 79940387/185974*c_1001_5^7 + 33449420/92987*c_1001_5^6 - 47860295/185974*c_1001_5^5 + 12459621/92987*c_1001_5^4 - 5666371/92987*c_1001_5^3 + 3834839/185974*c_1001_5^2 - 1747039/185974*c_1001_5 + 241683/185974, c_1001_5^13 - 17*c_1001_5^12 + 108*c_1001_5^11 - 275*c_1001_5^10 + 434*c_1001_5^9 - 494*c_1001_5^8 + 463*c_1001_5^7 - 365*c_1001_5^6 + 237*c_1001_5^5 - 122*c_1001_5^4 + 53*c_1001_5^3 - 20*c_1001_5^2 + 6*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB