Magma V2.19-8 Tue Aug 20 2013 23:48:54 on localhost [Seed = 3751392578] Type ? for help. Type -D to quit. Loading file "L12n1115__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1115 geometric_solution 11.76037101 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 0 1 -1 -1 0 1 0 4 0 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572077434785 0.780108972171 0 5 7 6 0132 0132 0132 0132 0 0 1 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 1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570135755621 0.517493160554 7 0 9 8 0132 0132 0132 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540519385166 0.985374589415 7 10 11 0 2031 0132 0132 0132 1 0 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 -3 4 -1 0 0 1 -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 0.456218123725 0.648038421044 9 11 0 8 0132 3120 0132 0213 1 0 0 1 0 0 0 0 -1 0 1 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 -1 1 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 0.416045807708 1.236198733819 10 1 11 8 2031 0132 1023 2031 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 0 0 0 0 0 0 0 4 -4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572077434785 0.780108972171 7 10 1 8 1023 2031 0132 1230 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 0 0 0 0 0 0 0 0 0 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 0.755451507355 0.726628009138 2 6 3 1 0132 1023 1302 0132 0 0 1 1 0 0 0 0 0 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 0 0 0 0 0 -1 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755451507355 0.726628009138 6 5 2 4 3012 1302 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273640694788 1.031762467955 4 10 11 2 0132 1302 3201 0132 1 0 1 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 3 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038320054030 0.872884729250 6 3 5 9 1302 0132 1302 2031 1 1 0 1 0 1 0 -1 0 0 0 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 3 0 -3 0 0 0 0 0 1 0 -1 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572077434785 0.780108972171 9 4 5 3 2310 3120 1023 0132 1 0 0 1 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 4 0 -4 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 0.416045807708 1.236198733819 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0110_5'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0110_5'], 'c_1010_11' : negation(d['c_0011_4']), 'c_1010_10' : negation(d['c_0011_4']), 's_3_11' : 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' : negation(d['c_0011_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_1100_9' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1010_8']), 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1010_8'], 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_1010_8'], '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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_3'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : 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_1'], 'c_0110_8' : d['c_0101_3'], '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_0011_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_8']})} 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0110_5, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 323/15*c_1010_8^3 - 212369/4350*c_1010_8^2 + 62179/2175*c_1010_8 - 28859/4350, c_0011_0 - 1, c_0011_10 - 29/20*c_1010_8^3 - 13/20*c_1010_8^2 - 8/5*c_1010_8 - 3/10, c_0011_11 - 261/40*c_1010_8^3 + 7/10*c_1010_8^2 - 79/20*c_1010_8 + 19/10, c_0011_4 + 203/40*c_1010_8^3 - 27/20*c_1010_8^2 + 87/20*c_1010_8 - 11/5, c_0011_8 - 29/10*c_1010_8^3 - 13/10*c_1010_8^2 - 11/5*c_1010_8 + 2/5, c_0101_0 - 1, c_0101_1 - 203/40*c_1010_8^3 + 27/20*c_1010_8^2 - 67/20*c_1010_8 + 6/5, c_0101_11 + 29/8*c_1010_8^3 - 2*c_1010_8^2 + 11/4*c_1010_8 - 3/2, c_0101_3 - 29/40*c_1010_8^3 - 7/10*c_1010_8^2 - 11/20*c_1010_8 + 1/10, c_0101_5 + 87/40*c_1010_8^3 - 53/20*c_1010_8^2 + 23/20*c_1010_8 - 14/5, c_0110_5 - 783/40*c_1010_8^3 + 21/10*c_1010_8^2 - 257/20*c_1010_8 + 47/10, c_1010_8^4 - 16/29*c_1010_8^3 + 24/29*c_1010_8^2 - 16/29*c_1010_8 + 4/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB