Magma V2.19-8 Wed Aug 21 2013 00:57:43 on localhost [Seed = 4206682189] Type ? for help. Type -D to quit. Loading file "L13n4413__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4413 geometric_solution 12.21705203 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 -1 1 1 0 -1 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318466590680 1.219544917870 0 5 3 6 0132 0132 0321 0132 0 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 -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 0.462993110450 0.335230156756 7 0 8 5 0132 0132 0132 0132 0 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327615136710 0.947848426445 6 9 1 0 0132 0132 0321 0132 0 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527481560878 0.491641770239 10 7 0 5 0132 0213 0132 0213 0 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 0 0 -5 5 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492111285068 0.803235238491 11 1 2 4 0132 0132 0132 0213 0 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 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 0 0 0 0 0.691688512354 0.896652698155 3 9 1 12 0132 0213 0132 0132 0 1 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 0 0 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 1.080983589834 0.745268451002 2 11 4 12 0132 0132 0213 0213 0 1 1 1 0 1 0 -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 -1 1 0 0 -5 5 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451007627254 0.802662827809 10 11 12 2 1023 0321 0213 0132 0 1 1 1 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 0 0 0 0 -4 0 0 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 0.529378258559 0.507538481620 10 3 6 11 2310 0132 0213 0132 0 1 1 1 0 0 1 -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 0 0 0 0 1 -1 0 5 0 -1 -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 0.534805263106 0.621027575409 4 8 9 12 0132 1023 3201 2310 1 1 1 1 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 4 1 -5 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.020669439919 0.625953212422 5 7 9 8 0132 0132 0132 0321 0 1 1 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 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 0 0 0 0 0.565719800159 1.200809326320 10 8 6 7 3201 0213 0132 0213 0 1 1 1 0 0 -1 1 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 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785142270968 0.777774093618 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_2'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0101_1']), 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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' : d['c_1001_12'], 'c_1100_8' : d['c_1010_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1010_12'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_1010_12'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1010_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1010_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_11'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0101_2']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), '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_12']), 'c_0101_8' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), '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' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_1']), 's_2_9' : negation(d['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_12, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1001_0, c_1001_1, c_1001_11, c_1001_12, c_1001_2, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 83372/4235*c_1010_12^6 + 9976/4235*c_1010_12^5 - 879156/4235*c_1010_12^4 + 168583/847*c_1010_12^3 - 166706/847*c_1010_12^2 + 71626/847*c_1010_12 + 756/605, c_0011_0 - 1, c_0011_10 + 72/385*c_1010_12^6 - 4/77*c_1010_12^5 + 131/77*c_1010_12^4 - 894/385*c_1010_12^3 - 243/385*c_1010_12^2 - 61/385*c_1010_12 - 409/385, c_0011_12 + 52/385*c_1010_12^6 - 23/385*c_1010_12^5 + 503/385*c_1010_12^4 - 697/385*c_1010_12^3 + 171/385*c_1010_12^2 + 157/385*c_1010_12 - 428/385, c_0101_0 + 19/77*c_1010_12^6 + 72/385*c_1010_12^5 + 953/385*c_1010_12^4 - 108/385*c_1010_12^3 - 311/385*c_1010_12^2 + 543/385*c_1010_12 - 314/385, c_0101_1 - 19/77*c_1010_12^6 - 226/385*c_1010_12^5 - 1184/385*c_1010_12^4 - 1586/385*c_1010_12^3 - 767/385*c_1010_12^2 - 774/385*c_1010_12 - 148/385, c_0101_10 - 186/385*c_1010_12^6 - 41/77*c_1010_12^5 - 409/77*c_1010_12^4 - 578/385*c_1010_12^3 - 816/385*c_1010_12^2 - 1222/385*c_1010_12 + 62/385, c_0101_2 - 3/35*c_1010_12^6 + 2/35*c_1010_12^5 - 27/35*c_1010_12^4 + 53/35*c_1010_12^3 + 11/35*c_1010_12^2 + 32/35*c_1010_12 + 22/35, c_1001_0 - 1, c_1001_1 - 134/385*c_1010_12^6 - 228/385*c_1010_12^5 - 1542/385*c_1010_12^4 - 255/77*c_1010_12^3 - 129/77*c_1010_12^2 - 213/77*c_1010_12 + 19/385, c_1001_11 + 72/385*c_1010_12^6 + 134/385*c_1010_12^5 + 886/385*c_1010_12^4 + 160/77*c_1010_12^3 + 167/77*c_1010_12^2 + 34/77*c_1010_12 + 53/385, c_1001_12 - 94/385*c_1010_12^6 - 68/385*c_1010_12^5 - 1007/385*c_1010_12^4 + 5/77*c_1010_12^3 - 79/77*c_1010_12^2 - 177/77*c_1010_12 + 134/385, c_1001_2 + 36/385*c_1010_12^6 + 67/385*c_1010_12^5 + 443/385*c_1010_12^4 + 80/77*c_1010_12^3 + 45/77*c_1010_12^2 + 17/77*c_1010_12 - 166/385, c_1010_12^7 + c_1010_12^6 + 11*c_1010_12^5 + 2*c_1010_12^4 + 5*c_1010_12^3 + 5*c_1010_12^2 - c_1010_12 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.460 seconds, Total memory usage: 32.09MB