Magma V2.19-8 Tue Aug 20 2013 23:44:23 on localhost [Seed = 1225731276] Type ? for help. Type -D to quit. Loading file "L14n32877__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32877 geometric_solution 9.93964460 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 0 0 1 2 1302 2031 0132 0132 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 -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 -0.166481076167 1.707698547566 2 3 4 0 1302 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 -2 0 2 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 0.229423153634 0.556691379914 5 1 0 4 0132 2031 0132 0132 0 0 1 0 0 0 1 -1 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 -2 1 0 0 0 0 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229423153634 0.556691379914 4 1 6 7 0321 0132 0132 0132 0 1 1 0 0 -1 1 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 2 -1 -1 -2 0 0 2 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575765373041 0.902906144037 3 5 2 1 0321 2103 0132 0132 0 0 1 1 0 -1 1 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 1 -1 0 0 0 0 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 -1.016636311416 1.245325015833 2 4 8 9 0132 2103 0132 0132 1 0 0 1 0 0 0 0 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 0 0 0 0 0 0 0 0 -1 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575765373041 0.902906144037 8 9 9 3 0213 3012 1230 0132 0 1 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 0 0 0 0 0 0 0 0 -1 0 1 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 0.368749345839 0.998346742158 10 9 3 8 0132 3120 0132 1302 0 1 1 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 1 -1 0 0 -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 0.282800372979 0.674451559482 6 10 7 5 0213 2310 2031 0132 1 0 1 1 0 0 0 0 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 -1 0 1 0 0 -3 0 3 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282800372979 0.674451559482 6 7 5 6 1230 3120 0132 3012 1 0 1 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 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 0.368749345839 0.998346742158 7 10 10 8 0132 1230 3012 3201 1 1 1 1 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 -1 -2 0 0 -3 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 1.471263756954 1.260984842133 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_1'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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_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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : d['c_0011_9'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_1_4' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_0110_10' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_1'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_4, c_0011_6, c_0011_9, c_0101_10, c_0101_2, c_0101_3, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 221/301*c_1100_0^4 - 1403/602*c_1100_0^3 - 3051/602*c_1100_0^2 + 1790/301*c_1100_0 + 761/301, c_0011_0 - 1, c_0011_1 - 1, c_0011_10 + 1, c_0011_4 - 9/43*c_1100_0^4 - 31/43*c_1100_0^3 - 63/43*c_1100_0^2 + 62/43*c_1100_0 + 45/43, c_0011_6 + 3/86*c_1100_0^4 - 2/43*c_1100_0^3 - 11/43*c_1100_0^2 - 39/43*c_1100_0 + 71/86, c_0011_9 + 3/86*c_1100_0^4 - 2/43*c_1100_0^3 - 11/43*c_1100_0^2 - 39/43*c_1100_0 + 71/86, c_0101_10 + 9/86*c_1100_0^4 + 31/86*c_1100_0^3 + 63/86*c_1100_0^2 - 105/86*c_1100_0 - 44/43, c_0101_2 + 9/86*c_1100_0^4 + 31/86*c_1100_0^3 + 63/86*c_1100_0^2 - 105/86*c_1100_0 - 1/43, c_0101_3 + 9/86*c_1100_0^4 + 31/86*c_1100_0^3 + 63/86*c_1100_0^2 - 19/86*c_1100_0 - 1/43, c_1001_1 + 9/86*c_1100_0^4 + 31/86*c_1100_0^3 + 63/86*c_1100_0^2 - 19/86*c_1100_0 - 1/43, c_1100_0^5 + 3*c_1100_0^4 + 6*c_1100_0^3 - 10*c_1100_0^2 - 3*c_1100_0 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB