Magma V2.19-8 Tue Aug 20 2013 23:51:06 on localhost [Seed = 4105347057] Type ? for help. Type -D to quit. Loading file "L13a5817__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a5817 geometric_solution 9.91277423 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 2 2 0 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 0 0 0 0 0 0 0 0 5 -1 -4 -5 0 5 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518872054623 0.871921477633 0 4 0 5 0132 0132 3012 0132 1 2 1 0 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 5 0 -5 0 1 5 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495983955496 0.846957184069 4 6 7 0 2103 0132 0132 0132 2 2 1 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 0 -1 1 4 0 1 -5 0 1 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508892664948 0.906055349422 4 4 0 5 0132 1302 0132 1230 2 2 1 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518872054623 0.871921477633 3 1 2 3 0132 0132 2103 2031 1 2 0 1 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 -4 4 1 -1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485139484708 0.879191367762 3 6 1 8 3012 3012 0132 0132 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462382858476 0.853060894231 5 2 8 7 1230 0132 1230 3120 2 2 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 0 0 0 0 0 0 6 0 0 -6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.451852622725 0.777762860924 6 8 9 2 3120 2103 0132 0132 2 2 1 2 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 1 -1 6 -1 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749456637636 0.470094610605 9 7 5 6 0213 2103 0132 3012 1 2 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 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 0.042441104113 0.600626178604 8 10 10 7 0213 0132 3201 0132 2 2 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 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 0 0 0.827285937461 0.206185372131 9 9 11 11 2310 0132 0132 2310 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.396335263222 0.741499728850 10 11 11 10 3201 3201 2310 0132 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.771731402281 0.192197983712 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_7'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], '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' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_0011_7'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0011_5']})} 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_2, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 955689731/3432*c_1001_0^8 - 2493655319/2288*c_1001_0^7 - 10014377579/4576*c_1001_0^6 - 120683065/44*c_1001_0^5 - 125217573077/54912*c_1001_0^4 - 68716895399/54912*c_1001_0^3 - 4184856571/9984*c_1001_0^2 - 637542079/9152*c_1001_0 - 1470642395/878592, c_0011_0 - 1, c_0011_10 - c_1001_0 - 1, c_0011_11 + 128*c_1001_0^8 + 512*c_1001_0^7 + 1024*c_1001_0^6 + 1280*c_1001_0^5 + 1072*c_1001_0^4 + 608*c_1001_0^3 + 224*c_1001_0^2 + 48*c_1001_0 + 4, c_0011_2 - c_1001_0 - 1, c_0011_5 + c_1001_0, c_0011_7 + 2*c_1001_0^2 + 2*c_1001_0 + 1, c_0011_8 + 8*c_1001_0^4 + 16*c_1001_0^3 + 16*c_1001_0^2 + 8*c_1001_0 + 2, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 16*c_1001_0^5 + 48*c_1001_0^4 + 68*c_1001_0^3 + 52*c_1001_0^2 + 21*c_1001_0 + 3, c_0101_7 - 4*c_1001_0^3 - 4*c_1001_0^2 - 3*c_1001_0 - 1, c_1001_0^9 + 9/2*c_1001_0^8 + 41/4*c_1001_0^7 + 59/4*c_1001_0^6 + 231/16*c_1001_0^5 + 39/4*c_1001_0^4 + 141/32*c_1001_0^3 + 39/32*c_1001_0^2 + 41/256*c_1001_0 + 1/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB