Magma V2.19-8 Wed Aug 21 2013 00:58:38 on localhost [Seed = 1377061081] Type ? for help. Type -D to quit. Loading file "L13n5915__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5915 geometric_solution 12.12395473 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 1 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226658595989 1.268997992339 0 5 7 6 0132 0132 0132 0132 1 1 1 1 0 1 -1 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 -4 4 0 0 0 0 0 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564236562621 0.958572918491 8 0 9 8 0132 0132 0132 1023 1 1 1 1 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 1 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 0.263551957700 1.045055309991 10 11 10 0 0132 0132 3012 0132 1 1 1 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 -1 0 1 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 0.419494127378 0.464202341560 9 5 0 12 1023 1302 0132 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 0 0 0 -1 0 1 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 0.209300606679 2.020366376924 12 1 8 4 0132 0132 3120 2031 1 1 1 1 0 -1 0 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 0 0 0 0 4 0 -4 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 0.317741292365 0.689936337433 10 12 1 9 2103 2310 0132 1302 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543949895457 0.774776589556 10 11 11 1 3012 3012 0132 0132 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 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071616646355 1.185825793561 2 12 5 2 0132 0132 3120 1023 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.683907873547 0.464267320552 11 4 6 2 2031 1023 2031 0132 1 1 1 1 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 1 0 -1 0 0 0 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 0.226658595989 1.268997992339 3 3 6 7 0132 1230 2103 1230 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 0 0 0 -1 0 0 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 1.050744738726 0.840229515501 7 3 9 7 1230 0132 1302 0132 1 1 0 1 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 1 0 -1 0 0 0 0 0 -1 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071616646355 1.185825793561 5 8 4 6 0132 0132 0132 3201 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724659172463 0.732813945416 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0101_8'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0101_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_6']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : d['c_0011_0'], '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_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' : d['c_0011_7'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : 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' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : 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_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_0101_8, c_0101_9, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 5507931447/617669195*c_1001_5^3 - 861977614951/1235338390*c_1001_5^2 + 2807669506093/1235338390*c_1001_5 + 50166389411/13003562, c_0011_0 - 1, c_0011_10 + 1, c_0011_4 + 175/591071*c_1001_5^3 + 17203/591071*c_1001_5^2 - 49770/591071*c_1001_5 + 12807/31109, c_0011_6 - 139/591071*c_1001_5^3 - 6909/591071*c_1001_5^2 + 275960/591071*c_1001_5 + 11515/31109, c_0011_7 - 2373/1182142*c_1001_5^3 - 185987/1182142*c_1001_5^2 + 556667/1182142*c_1001_5 + 4629/31109, c_0101_0 + 664/591071*c_1001_5^3 + 58518/591071*c_1001_5^2 + 165801/591071*c_1001_5 - 4203/31109, c_0101_1 + 157/591071*c_1001_5^3 + 12056/591071*c_1001_5^2 - 162865/591071*c_1001_5 + 646/31109, c_0101_12 - 785/591071*c_1001_5^3 - 60280/591071*c_1001_5^2 + 223254/591071*c_1001_5 - 3230/31109, c_0101_2 + 1570/591071*c_1001_5^3 + 120560/591071*c_1001_5^2 - 446508/591071*c_1001_5 + 6460/31109, c_0101_5 - 1570/591071*c_1001_5^3 - 120560/591071*c_1001_5^2 + 446508/591071*c_1001_5 + 24649/31109, c_0101_8 - 471/591071*c_1001_5^3 - 36168/591071*c_1001_5^2 - 102476/591071*c_1001_5 - 1938/31109, c_0101_9 + 978/591071*c_1001_5^3 + 82630/591071*c_1001_5^2 - 159929/591071*c_1001_5 - 2911/31109, c_1001_5^4 + 78*c_1001_5^3 - 273*c_1001_5^2 - 266*c_1001_5 - 361 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.470 Total time: 1.679 seconds, Total memory usage: 64.12MB