Magma V2.19-8 Wed Aug 21 2013 01:08:46 on localhost [Seed = 3769039291] Type ? for help. Type -D to quit. Loading file "L14n43237__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43237 geometric_solution 12.00595117 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 2 2 2 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 -1 1 3 0 -4 1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284402621308 0.795879605410 0 3 5 4 0132 0213 0132 0132 1 2 2 2 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 0 0 -3 0 0 3 0 0 0 0 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676143942971 0.665995711938 0 0 6 4 3012 0132 0132 2031 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 -2 3 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624700923778 0.694785558920 5 7 1 0 0132 0132 0213 0132 1 2 2 2 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 -1 0 1 -4 0 0 4 1 0 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040336457175 0.885823183807 8 2 1 9 0132 1302 0132 0132 1 2 1 2 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 -3 0 3 0 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 0 0.358072445524 0.803308528111 3 6 8 1 0132 0132 0132 0132 1 2 2 2 0 0 0 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 0 0 0 4 0 -4 0 0 4 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277993362834 1.780190528975 7 5 10 2 0132 0132 0132 0132 1 1 2 2 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 0 0 -3 0 1 2 0 -1 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.148589046216 0.896398210200 6 3 8 11 0132 0132 3012 0132 1 1 2 2 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 0 1 0 -1 3 0 0 -3 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037773888429 0.687802723051 4 7 12 5 0132 1230 0132 0132 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167050952503 0.538912172013 11 10 4 12 0321 1230 0132 0132 1 2 0 1 0 0 1 -1 -1 0 1 0 -3 -2 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 3 0 -3 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442950772158 0.586482859555 12 11 9 6 0213 0132 3012 0132 1 1 2 0 0 0 0 0 0 0 0 0 -1 0 0 1 -2 0 2 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 4 0 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179975199083 1.085742525756 9 10 7 12 0321 0132 0132 2031 1 1 0 2 0 0 0 0 0 0 -1 1 3 0 0 -3 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 3 -3 -1 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.148589046216 0.896398210200 10 11 9 8 0213 1302 0132 0132 1 2 1 0 0 -1 1 0 1 0 0 -1 0 0 0 0 2 3 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 -4 0 0 4 -1 1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.179975199083 1.085742525756 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_1001_1'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_1001_9']), 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_8']), 'c_1100_10' : negation(d['c_1001_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_9'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : negation(d['1']), 's_3_0' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : negation(d['1']), 's_1_6' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_12'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_2']})} 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_0011_3, c_0011_4, c_0101_0, c_0101_11, c_0101_2, c_0110_2, c_1001_1, c_1001_8, c_1001_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 3323748101/12757738*c_1100_1^4 + 2328389045/12757738*c_1100_1^3 - 110041711/439922*c_1100_1^2 - 775656661/12757738*c_1100_1 - 398250985/12757738, c_0011_0 - 1, c_0011_10 + 55660/4489*c_1100_1^4 - 56391/4489*c_1100_1^3 + 71763/4489*c_1100_1^2 + 3792/4489*c_1100_1 + 5026/4489, c_0011_12 + 1, c_0011_3 - 37973/4489*c_1100_1^4 + 39197/4489*c_1100_1^3 - 50634/4489*c_1100_1^2 + 2733/4489*c_1100_1 - 4553/4489, c_0011_4 - 1, c_0101_0 + 20286/4489*c_1100_1^4 - 22003/4489*c_1100_1^3 + 29505/4489*c_1100_1^2 - 9258/4489*c_1100_1 + 4080/4489, c_0101_11 - 35374/4489*c_1100_1^4 + 34388/4489*c_1100_1^3 - 42258/4489*c_1100_1^2 - 4072/4489*c_1100_1 - 946/4489, c_0101_2 - 5474/4489*c_1100_1^4 + 9215/4489*c_1100_1^3 - 9458/4489*c_1100_1^2 + 3567/4489*c_1100_1 + 2533/4489, c_0110_2 + 2599/4489*c_1100_1^4 - 4809/4489*c_1100_1^3 + 8376/4489*c_1100_1^2 - 6805/4489*c_1100_1 - 882/4489, c_1001_1 + c_1100_1, c_1001_8 - 4922/4489*c_1100_1^4 + 10021/4489*c_1100_1^3 - 10579/4489*c_1100_1^2 + 5697/4489*c_1100_1 - 3494/4489, c_1001_9 - 7130/4489*c_1100_1^4 + 6797/4489*c_1100_1^3 - 6095/4489*c_1100_1^2 - 2823/4489*c_1100_1 + 2658/4489, c_1100_1^5 - 22/23*c_1100_1^4 + 28/23*c_1100_1^3 - 1/23*c_1100_1^2 + 2/23*c_1100_1 - 1/23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB