Magma V2.19-8 Tue Aug 20 2013 23:47:57 on localhost [Seed = 1528639803] Type ? for help. Type -D to quit. Loading file "L11n304__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n304 geometric_solution 11.67995752 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 0 0 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 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 0.381294229863 0.676244809027 0 4 4 5 0132 0132 1302 0132 0 0 0 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809108300721 0.980220223396 0 0 7 6 3012 0132 0132 0132 0 0 0 2 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 0 1 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 0.736463419527 0.804953806044 7 7 4 0 1302 3012 0132 0132 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736463419527 0.804953806044 1 1 8 3 2031 0132 0132 0132 0 0 2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499155464815 0.606764189327 6 9 1 10 3012 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 0 0 -1 0 0 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 0.560412097256 0.877301029400 8 7 2 5 2031 3201 0132 1230 0 0 0 0 0 0 -1 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 0 0 0 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 0.884650381006 0.513704093677 3 3 6 2 1230 2031 2310 0132 0 0 2 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 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 0.736463419527 0.804953806044 11 9 6 4 0132 0321 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456527530032 0.911108039022 9 5 9 8 2031 0132 1302 0321 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901799730764 0.885512334334 11 11 5 11 3201 2103 0132 1302 0 0 1 0 0 0 0 0 0 0 -1 1 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 -1 -2 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232196311506 0.719217390548 8 10 10 10 0132 2103 2031 2310 1 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 2 -3 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 0.593485868691 1.259158816286 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_10']), '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_0011_6'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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_0011_5'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : d['c_0101_6'], '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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_6']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0011_3'], '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_3, c_0011_5, c_0011_6, c_0011_7, c_0101_0, c_0101_11, c_0101_6, c_0101_7, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 459526175/20738800008*c_1001_4^4 - 1486709233/4608622224*c_1001_4^3 - 60532328707/41477600016*c_1001_4^2 - 139054682815/41477600016*c_1001_4 - 107754970879/41477600016, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 9/376*c_1001_4^4 - 41/188*c_1001_4^3 - 11/188*c_1001_4^2 - 151/188*c_1001_4 - 305/376, c_0011_3 + 1/188*c_1001_4^4 + 13/376*c_1001_4^3 - 63/376*c_1001_4^2 - 241/376*c_1001_4 + 73/376, c_0011_5 + 1/47*c_1001_4^4 + 13/94*c_1001_4^3 - 79/188*c_1001_4^2 - 3/47*c_1001_4 - 183/188, c_0011_6 - 9/376*c_1001_4^4 - 41/188*c_1001_4^3 - 11/188*c_1001_4^2 + 37/188*c_1001_4 + 71/376, c_0011_7 - 1, c_0101_0 - 1, c_0101_11 - c_1001_4 - 1, c_0101_6 - 1, c_0101_7 + 1/188*c_1001_4^4 + 13/376*c_1001_4^3 - 63/376*c_1001_4^2 - 241/376*c_1001_4 + 449/376, c_1001_4^5 + 13*c_1001_4^4 + 46*c_1001_4^3 + 86*c_1001_4^2 + 17*c_1001_4 + 61 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB