Magma V2.19-8 Tue Aug 20 2013 23:48:51 on localhost [Seed = 1292576725] Type ? for help. Type -D to quit. Loading file "L12n1093__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1093 geometric_solution 10.99210532 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 0 -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 0 2 -2 1 0 -1 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 0.318917354720 0.733035091572 0 5 3 6 0132 0132 0321 0132 0 1 0 1 0 0 1 -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 0 -2 2 -1 0 1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986874537912 0.589335963482 7 0 9 8 0132 0132 0132 0132 0 0 0 1 0 0 0 0 -1 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 0 0 0 1 0 -1 0 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390529400797 0.602120208242 10 9 1 0 0132 3012 0321 0132 0 1 0 1 0 0 -1 1 -1 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 2 -2 1 0 -2 1 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934042392532 1.246770680323 10 7 0 11 3201 0132 0132 0132 0 1 0 1 0 0 -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 -1 2 -1 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398492295942 0.805232497335 10 1 8 11 2310 0132 1302 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595427854067 0.797093461445 11 8 1 10 0132 1302 0132 3201 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 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 0.599124614127 0.224761758601 2 4 11 9 0132 0132 3012 0321 0 0 1 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 0 0 0 0 0 1 -1 0 -1 0 1 0 2 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934042392532 1.246770680323 5 9 2 6 2031 3201 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 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 0.557550915725 0.620327405176 3 7 8 2 1230 0321 2310 0132 0 0 1 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 0 0 0 0 -2 0 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 0.897914163827 1.064117529208 3 6 5 4 0132 2310 3201 2310 0 1 1 0 0 0 0 0 1 0 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 0 0 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885824823388 0.633336713147 6 7 4 5 0132 1230 0132 0213 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 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 0.934042392532 1.246770680323 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0101_11']), '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_0'], '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_0011_8'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : 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_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_1'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_11']), '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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), '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_0'], 'c_0110_10' : negation(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' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_10']), '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_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10']})} 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_9, c_0110_8, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 40565388177/61621625*c_1001_2^7 - 663699/4740125*c_1001_2^6 + 123763349977/61621625*c_1001_2^5 + 6584658602/61621625*c_1001_2^4 - 116798676782/61621625*c_1001_2^3 - 66215455077/61621625*c_1001_2^2 - 5650831253/61621625*c_1001_2 + 6589385938/61621625, c_0011_0 - 1, c_0011_10 + 9576/2917*c_1001_2^7 + 2499/2917*c_1001_2^6 - 27299/2917*c_1001_2^5 - 12720/2917*c_1001_2^4 + 24964/2917*c_1001_2^3 + 27141/2917*c_1001_2^2 + 6277/2917*c_1001_2 + 678/2917, c_0011_11 + 2538/2917*c_1001_2^7 - 10737/2917*c_1001_2^6 - 7482/2917*c_1001_2^5 + 29922/2917*c_1001_2^4 + 10959/2917*c_1001_2^3 - 22662/2917*c_1001_2^2 - 19682/2917*c_1001_2 - 2836/2917, c_0011_8 - 15381/2917*c_1001_2^7 - 10059/2917*c_1001_2^6 + 46274/2917*c_1001_2^5 + 34336/2917*c_1001_2^4 - 40503/2917*c_1001_2^3 - 56301/2917*c_1001_2^2 - 20903/2917*c_1001_2 + 1340/2917, c_0101_0 - 28251/2917*c_1001_2^7 + 6963/2917*c_1001_2^6 + 80677/2917*c_1001_2^5 - 9343/2917*c_1001_2^4 - 73484/2917*c_1001_2^3 - 39817/2917*c_1001_2^2 + 5440/2917*c_1001_2 + 3598/2917, c_0101_1 - 1, c_0101_11 + 4131/2917*c_1001_2^7 - 10494/2917*c_1001_2^6 - 2310/2917*c_1001_2^5 + 24560/2917*c_1001_2^4 - 10867/2917*c_1001_2^3 - 12557/2917*c_1001_2^2 + 1603/2917*c_1001_2 + 6121/2917, c_0101_7 + 33750/2917*c_1001_2^7 + 9153/2917*c_1001_2^6 - 96888/2917*c_1001_2^5 - 39589/2917*c_1001_2^4 + 84102/2917*c_1001_2^3 + 92811/2917*c_1001_2^2 + 25813/2917*c_1001_2 + 953/2917, c_0101_9 - 25713/2917*c_1001_2^7 - 3774/2917*c_1001_2^6 + 73195/2917*c_1001_2^5 + 20579/2917*c_1001_2^4 - 62525/2917*c_1001_2^3 - 62479/2917*c_1001_2^2 - 17159/2917*c_1001_2 + 762/2917, c_0110_8 + 27252/2917*c_1001_2^7 + 894/2917*c_1001_2^6 - 76801/2917*c_1001_2^5 - 14289/2917*c_1001_2^4 + 65912/2917*c_1001_2^3 + 59288/2917*c_1001_2^2 + 11865/2917*c_1001_2 + 1118/2917, c_1001_1 - 9333/2917*c_1001_2^7 - 1572/2917*c_1001_2^6 + 23045/2917*c_1001_2^5 + 9875/2917*c_1001_2^4 - 14450/2917*c_1001_2^3 - 25649/2917*c_1001_2^2 - 13561/2917*c_1001_2 - 2377/2917, c_1001_2^8 + 1/3*c_1001_2^7 - 25/9*c_1001_2^6 - 13/9*c_1001_2^5 + 20/9*c_1001_2^4 + 28/9*c_1001_2^3 + 10/9*c_1001_2^2 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB