Magma V2.19-8 Tue Aug 20 2013 23:42:10 on localhost [Seed = 3751393929] Type ? for help. Type -D to quit. Loading file "K12n801__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n801 geometric_solution 11.42403959 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 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 -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 0.179012525159 1.046479325420 0 3 6 5 0132 0213 0132 0132 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646245784915 0.853428850920 7 0 6 8 0132 0132 3012 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 -1 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 0.400411655821 0.528526584522 9 10 1 0 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646245784915 0.853428850920 5 7 0 8 0132 1230 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 0.545721728526 1.334163819674 4 8 1 11 0132 1302 0132 0132 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 -1 0 1 -1 0 -3 4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505358795334 0.835390965195 11 2 10 1 0132 1230 3201 0132 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 -3 3 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761350014687 0.777900288746 2 9 4 10 0132 0321 3012 1023 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 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876273719439 0.867207606890 4 9 2 5 3012 0213 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.505358795334 0.835390965195 3 11 8 7 0132 2310 0213 0321 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 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505358795334 0.835390965195 6 3 11 7 2310 0132 2310 1023 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761350014687 0.777900288746 6 10 5 9 0132 3201 0132 3201 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 -1 1 0 0 -4 4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542706792230 0.549935370762 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], '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' : d['c_0101_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0110_8'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0110_8'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : negation(d['c_0011_4']), '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_8'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0101_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0011_8'], 'c_1100_9' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_8, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0101_7, c_0110_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 5704153217/7269296695*c_1001_0^11 + 354599798134/79962263645*c_1001_0^10 + 879873624593/79962263645*c_1001_0^9 + 74882183122/7269296695*c_1001_0^8 + 328682033253/15992452729*c_1001_0^7 + 1217718080199/15992452729*c_1001_0^6 + 11392200688703/79962263645*c_1001_0^5 + 12614435843433/79962263645*c_1001_0^4 + 7565379895548/79962263645*c_1001_0^3 + 1927626057866/79962263645*c_1001_0^2 - 805578246966/79962263645*c_1001_0 + 52327037209/79962263645, c_0011_0 - 1, c_0011_10 + 16728849/83730119*c_1001_0^11 + 82231705/83730119*c_1001_0^10 + 192725543/83730119*c_1001_0^9 + 160890867/83730119*c_1001_0^8 + 485851194/83730119*c_1001_0^7 + 1324866271/83730119*c_1001_0^6 + 226907401/7611829*c_1001_0^5 + 2790217119/83730119*c_1001_0^4 + 1910289526/83730119*c_1001_0^3 + 646343510/83730119*c_1001_0^2 - 155033787/83730119*c_1001_0 - 82916164/83730119, c_0011_11 + 14273529/83730119*c_1001_0^11 + 64304562/83730119*c_1001_0^10 + 148891692/83730119*c_1001_0^9 + 124531600/83730119*c_1001_0^8 + 470040939/83730119*c_1001_0^7 + 1011561576/83730119*c_1001_0^6 + 2041095461/83730119*c_1001_0^5 + 2294016267/83730119*c_1001_0^4 + 2085266042/83730119*c_1001_0^3 + 1200275358/83730119*c_1001_0^2 + 52354074/7611829*c_1001_0 + 152422659/83730119, c_0011_4 - 37826057/83730119*c_1001_0^11 - 163087229/83730119*c_1001_0^10 - 332478560/83730119*c_1001_0^9 - 149463561/83730119*c_1001_0^8 - 995858892/83730119*c_1001_0^7 - 2426063505/83730119*c_1001_0^6 - 4054890391/83730119*c_1001_0^5 - 3726788006/83730119*c_1001_0^4 - 2040901410/83730119*c_1001_0^3 - 302472273/83730119*c_1001_0^2 + 33164421/7611829*c_1001_0 + 80193590/83730119, c_0011_8 - 21150812/83730119*c_1001_0^11 - 110619131/83730119*c_1001_0^10 - 271143687/83730119*c_1001_0^9 - 256904693/83730119*c_1001_0^8 - 57354593/7611829*c_1001_0^7 - 1847821187/83730119*c_1001_0^6 - 3559054034/83730119*c_1001_0^5 - 4182715528/83730119*c_1001_0^4 - 2952220768/83730119*c_1001_0^3 - 97919666/7611829*c_1001_0^2 + 40744409/83730119*c_1001_0 + 98929049/83730119, c_0101_1 - 24429859/83730119*c_1001_0^11 - 9935774/7611829*c_1001_0^10 - 231450545/83730119*c_1001_0^9 - 132775679/83730119*c_1001_0^8 - 668289744/83730119*c_1001_0^7 - 1692961738/83730119*c_1001_0^6 - 2868033292/83730119*c_1001_0^5 - 261884676/7611829*c_1001_0^4 - 1868198468/83730119*c_1001_0^3 - 605528800/83730119*c_1001_0^2 - 15477146/83730119*c_1001_0 - 60172383/83730119, c_0101_10 - 37012265/83730119*c_1001_0^11 - 169868117/83730119*c_1001_0^10 - 373762175/83730119*c_1001_0^9 - 248739605/83730119*c_1001_0^8 - 1033459037/83730119*c_1001_0^7 - 2639421174/83730119*c_1001_0^6 - 4764670982/83730119*c_1001_0^5 - 4878838574/83730119*c_1001_0^4 - 3242062710/83730119*c_1001_0^3 - 1021039870/83730119*c_1001_0^2 - 30121511/83730119*c_1001_0 - 54140444/83730119, c_0101_2 + 10063710/83730119*c_1001_0^11 + 52935237/83730119*c_1001_0^10 + 142613267/83730119*c_1001_0^9 + 173439989/83730119*c_1001_0^8 + 393010719/83730119*c_1001_0^7 + 908104391/83730119*c_1001_0^6 + 185544049/7611829*c_1001_0^5 + 2702137585/83730119*c_1001_0^4 + 2544518252/83730119*c_1001_0^3 + 1430935544/83730119*c_1001_0^2 + 444689390/83730119*c_1001_0 + 31860867/83730119, c_0101_6 + 2518696/83730119*c_1001_0^11 + 7639366/83730119*c_1001_0^10 - 301637/83730119*c_1001_0^9 - 57476063/83730119*c_1001_0^8 - 27841426/83730119*c_1001_0^7 + 38355045/83730119*c_1001_0^6 - 144346849/83730119*c_1001_0^5 - 704030447/83730119*c_1001_0^4 - 1170654010/83730119*c_1001_0^3 - 1015424474/83730119*c_1001_0^2 - 513775144/83730119*c_1001_0 - 37892806/83730119, c_0101_7 + 30997170/83730119*c_1001_0^11 + 151960113/83730119*c_1001_0^10 + 351804785/83730119*c_1001_0^9 + 282669877/83730119*c_1001_0^8 + 884195949/83730119*c_1001_0^7 + 2463927432/83730119*c_1001_0^6 + 4521711252/83730119*c_1001_0^5 + 4979741785/83730119*c_1001_0^4 + 3416050652/83730119*c_1001_0^3 + 1238645939/83730119*c_1001_0^2 - 89718595/83730119*c_1001_0 - 40344753/83730119, c_0110_8 + 13396198/83730119*c_1001_0^11 + 53793715/83730119*c_1001_0^10 + 9184365/7611829*c_1001_0^9 + 16687882/83730119*c_1001_0^8 + 327569148/83730119*c_1001_0^7 + 733101767/83730119*c_1001_0^6 + 1186857099/83730119*c_1001_0^5 + 846056570/83730119*c_1001_0^4 + 172702942/83730119*c_1001_0^3 - 303056527/83730119*c_1001_0^2 - 296555658/83730119*c_1001_0 - 5148714/7611829, c_1001_0^12 + 5*c_1001_0^11 + 12*c_1001_0^10 + 11*c_1001_0^9 + 31*c_1001_0^8 + 83*c_1001_0^7 + 158*c_1001_0^6 + 187*c_1001_0^5 + 145*c_1001_0^4 + 67*c_1001_0^3 + 11*c_1001_0^2 - c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.330 Total time: 1.540 seconds, Total memory usage: 64.12MB