Magma V2.19-8 Tue Aug 20 2013 23:49:02 on localhost [Seed = 981225645] Type ? for help. Type -D to quit. Loading file "L12n132__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n132 geometric_solution 11.00260872 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 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 1 -1 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 0.243051990368 0.767165927444 0 5 2 5 0132 0132 0321 0213 1 0 1 0 0 0 0 0 1 0 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 -1 1 1 0 1 -2 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405869520325 0.528988224451 6 0 1 7 0132 0132 0321 0132 1 0 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 -1 1 0 -2 0 2 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 1.453825320193 1.057705371698 8 9 6 0 0132 0132 3120 0132 1 0 1 1 0 0 0 0 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 0 -1 1 0 0 1 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248312549316 0.568171229610 6 7 0 7 3201 0321 0132 3120 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596274629235 1.634372818285 8 1 10 1 2310 0132 0132 0213 1 1 0 1 0 0 0 0 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 1 -1 0 0 0 0 0 -2 0 2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405869520325 0.528988224451 2 8 3 4 0132 2310 3120 2310 1 0 0 1 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 0 0 0 0 4 -3 -1 2 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 0.385431472958 0.746414937274 4 9 2 4 3120 0213 0132 0321 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802996301426 0.539981871212 3 11 5 6 0132 0132 3201 3201 1 0 1 1 0 1 -1 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 -4 3 1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198346116687 1.840077611426 10 3 7 10 1023 0132 0213 3012 1 1 1 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 0 0 0 -1 0 1 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 0.284031793444 0.649935978942 11 9 9 5 0132 1023 1230 0132 1 1 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 0 0 0 1 0 -1 0 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 0 0 0.284031793444 0.649935978942 10 8 11 11 0132 0132 2031 1302 1 1 1 1 0 -1 0 1 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 4 0 -4 0 0 4 -4 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390475889001 1.687514321580 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_1']), 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_0110_9'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0110_9'], '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_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_1100_9' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0110_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_9'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_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_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0011_0'])})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0110_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 164567469/3010*c_1001_1^5 + 86385008/1505*c_1001_1^4 + 1183841/602*c_1001_1^3 + 3167999/602*c_1001_1^2 + 33004922/1505*c_1001_1 + 9485634/1505, c_0011_0 - 1, c_0011_10 + 726/43*c_1001_1^5 + 847/43*c_1001_1^4 + 80/43*c_1001_1^3 + 127/43*c_1001_1^2 + 314/43*c_1001_1 + 110/43, c_0011_4 + c_1001_1, c_0011_7 - 176/43*c_1001_1^5 - 277/43*c_1001_1^4 - 22/43*c_1001_1^3 + 7/43*c_1001_1^2 - 67/43*c_1001_1 - 41/43, c_0101_0 - 616/43*c_1001_1^5 - 733/43*c_1001_1^4 - 163/43*c_1001_1^3 - 83/43*c_1001_1^2 - 256/43*c_1001_1 - 165/43, c_0101_1 - 1, c_0101_10 + 176/43*c_1001_1^5 + 277/43*c_1001_1^4 + 22/43*c_1001_1^3 + 36/43*c_1001_1^2 + 110/43*c_1001_1 + 41/43, c_0101_11 + 550/43*c_1001_1^5 + 570/43*c_1001_1^4 + 58/43*c_1001_1^3 + 48/43*c_1001_1^2 + 204/43*c_1001_1 + 69/43, c_0101_6 - 451/43*c_1001_1^5 - 562/43*c_1001_1^4 - 51/43*c_1001_1^3 - 60/43*c_1001_1^2 - 169/43*c_1001_1 - 97/43, c_0110_9 + 275/43*c_1001_1^5 + 285/43*c_1001_1^4 + 29/43*c_1001_1^3 + 24/43*c_1001_1^2 + 102/43*c_1001_1 + 56/43, c_1001_0 - 176/43*c_1001_1^5 - 277/43*c_1001_1^4 - 22/43*c_1001_1^3 - 36/43*c_1001_1^2 - 110/43*c_1001_1 - 41/43, c_1001_1^6 + 18/11*c_1001_1^5 + 8/11*c_1001_1^4 + 2/11*c_1001_1^3 + 5/11*c_1001_1^2 + 4/11*c_1001_1 + 1/11 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0110_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 260507/134*c_1001_1^5 + 3258622/201*c_1001_1^4 - 810634/201*c_1001_1^3 - 9900359/402*c_1001_1^2 - 8182099/402*c_1001_1 - 395633/402, c_0011_0 - 1, c_0011_10 + 26/67*c_1001_1^5 + 233/67*c_1001_1^4 + 104/67*c_1001_1^3 - 153/67*c_1001_1^2 - 14/67*c_1001_1 + 30/67, c_0011_4 - c_1001_1, c_0011_7 - 12/67*c_1001_1^5 - 123/67*c_1001_1^4 - 182/67*c_1001_1^3 - 17/67*c_1001_1^2 - 9/67*c_1001_1 - 19/67, c_0101_0 - 28/67*c_1001_1^5 - 287/67*c_1001_1^4 - 447/67*c_1001_1^3 - 129/67*c_1001_1^2 + 46/67*c_1001_1 - 89/67, c_0101_1 - 1, c_0101_10 + 12/67*c_1001_1^5 + 123/67*c_1001_1^4 + 182/67*c_1001_1^3 - 50/67*c_1001_1^2 - 58/67*c_1001_1 + 19/67, c_0101_11 + 38/67*c_1001_1^5 + 356/67*c_1001_1^4 + 286/67*c_1001_1^3 - 136/67*c_1001_1^2 - 72/67*c_1001_1 + 49/67, c_0101_6 + 19/67*c_1001_1^5 + 178/67*c_1001_1^4 + 143/67*c_1001_1^3 - 68/67*c_1001_1^2 + 31/67*c_1001_1 - 9/67, c_0110_9 - 7/67*c_1001_1^5 - 55/67*c_1001_1^4 + 39/67*c_1001_1^3 + 18/67*c_1001_1^2 - 22/67*c_1001_1 + 28/67, c_1001_0 + 12/67*c_1001_1^5 + 123/67*c_1001_1^4 + 182/67*c_1001_1^3 - 50/67*c_1001_1^2 - 58/67*c_1001_1 + 19/67, c_1001_1^6 + 10*c_1001_1^5 + 14*c_1001_1^4 + 6*c_1001_1^3 - c_1001_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB