Magma V2.19-8 Tue Aug 20 2013 23:57:53 on localhost [Seed = 3802434113] Type ? for help. Type -D to quit. Loading file "L14n37625__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n37625 geometric_solution 11.39064834 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 0 0 1 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 1 -2 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 0.633663247174 0.491039908268 0 5 7 6 0132 0132 0132 0132 1 0 0 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 7 -7 0 0 0 0 0 0 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.103006954122 0.819846872988 5 0 8 3 2310 0132 0132 3012 0 0 0 1 0 0 0 0 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 -1 1 0 -2 0 0 2 0 0 0 0 -7 1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602106921092 0.831075660172 9 9 2 0 0132 2310 1230 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773373274743 0.997859363998 10 11 0 9 0132 0132 0132 3012 0 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 0 2 -1 -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 0.633663247174 0.491039908268 10 1 2 11 1023 0132 3201 2310 1 0 1 0 0 1 -1 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 -7 7 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550241301396 0.692424370117 11 8 1 7 2310 2031 0132 0321 1 0 1 0 0 1 0 -1 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 -6 0 6 1 0 0 -1 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682411622397 0.547258296110 10 6 8 1 3120 0321 3120 0132 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 0 0 0 0 0 0 0 0 -6 -1 7 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789629799370 0.804778195685 6 11 7 2 1302 0321 3120 0132 0 0 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 0 1 -1 0 0 0 0 6 0 0 -6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304036762295 1.163102741023 3 10 4 3 0132 0213 1230 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.216436260501 0.952989763253 4 5 9 7 0132 1023 0213 3120 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 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 0.602106921092 0.831075660172 5 4 6 8 3201 0132 3201 0321 0 1 1 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 -2 2 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 1.103006954122 0.819846872988 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_0']), 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_7']), '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_0011_7'], 'c_0101_10' : negation(d['c_0011_3']), '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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_1001_2'], '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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), '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' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0'], 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_7'])})} 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_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1110138777/694976*c_1001_2^5 - 1961096999/694976*c_1001_2^4 - 1992607477/694976*c_1001_2^3 + 5257233/43436*c_1001_2^2 + 504502373/173744*c_1001_2 + 89155169/43436, c_0011_0 - 1, c_0011_3 + 12767/10859*c_1001_2^5 + 4862/10859*c_1001_2^4 - 7340/10859*c_1001_2^3 - 47415/21718*c_1001_2^2 - 7278/10859*c_1001_2 + 20831/10859, c_0011_6 + 53023/86872*c_1001_2^5 + 58293/86872*c_1001_2^4 + 30231/86872*c_1001_2^3 - 4193/21718*c_1001_2^2 - 20505/21718*c_1001_2 - 831/10859, c_0011_7 + 26639/43436*c_1001_2^5 - 425/43436*c_1001_2^4 - 13103/43436*c_1001_2^3 - 28323/21718*c_1001_2^2 - 10643/10859*c_1001_2 + 8325/10859, c_0011_8 - 1105/86872*c_1001_2^5 + 10149/86872*c_1001_2^4 - 1577/86872*c_1001_2^3 - 407/21718*c_1001_2^2 - 3855/21718*c_1001_2 - 7099/10859, c_0101_0 - 1, c_0101_1 - 41701/43436*c_1001_2^5 - 25959/43436*c_1001_2^4 - 25433/43436*c_1001_2^3 + 18721/10859*c_1001_2^2 + 14062/10859*c_1001_2 - 1882/10859, c_0101_2 + 7531/21718*c_1001_2^5 + 6596/10859*c_1001_2^4 + 9634/10859*c_1001_2^3 - 9119/21718*c_1001_2^2 - 14278/10859*c_1001_2 - 6443/10859, c_0101_3 + 61149/43436*c_1001_2^5 - 4981/43436*c_1001_2^4 - 20653/43436*c_1001_2^3 - 51349/21718*c_1001_2^2 - 509/10859*c_1001_2 + 10697/10859, c_0101_5 + 10081/43436*c_1001_2^5 - 24429/43436*c_1001_2^4 + 8707/43436*c_1001_2^3 - 1967/10859*c_1001_2^2 + 6769/10859*c_1001_2 - 10134/10859, c_0101_7 + 10081/43436*c_1001_2^5 - 24429/43436*c_1001_2^4 + 8707/43436*c_1001_2^3 - 1967/10859*c_1001_2^2 + 6769/10859*c_1001_2 + 725/10859, c_1001_2^6 + c_1001_2^5 + 7/17*c_1001_2^4 - 26/17*c_1001_2^3 - 32/17*c_1001_2^2 + 16/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.300 seconds, Total memory usage: 32.09MB