Magma V2.19-8 Wed Aug 21 2013 00:59:32 on localhost [Seed = 3616656541] Type ? for help. Type -D to quit. Loading file "L13n7209__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7209 geometric_solution 11.46787024 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 2 0 0 0 -1 1 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 -1 3 -2 -1 0 1 0 -12 12 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070221137472 0.982135408946 0 5 7 6 0132 0132 0132 0132 2 2 0 2 0 0 -1 1 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 -11 1 0 -1 0 -1 1 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638840183030 0.216357248093 7 0 8 3 2031 0132 0132 0132 1 2 0 2 0 0 0 0 1 0 -1 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 1 0 -1 -11 0 12 -1 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508331798526 0.536956344080 9 10 2 0 0132 0132 0132 0132 1 2 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 2 1 -3 0 0 1 -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 -0.014445289710 0.930950253717 6 8 0 10 3120 0132 0132 0132 1 2 0 2 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 2 -2 0 0 0 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508331798526 0.536956344080 6 1 11 11 1302 0132 0132 3201 2 0 2 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 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 0.763982068230 0.454058329966 9 5 1 4 2103 2031 0132 3120 2 2 0 0 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 11 -11 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 0.517474939530 0.426224544503 8 11 2 1 0213 3201 1302 0132 2 2 2 0 0 0 -1 1 -1 0 1 0 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 11 -11 11 0 -12 1 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.016663597053 1.073912688160 7 4 10 2 0213 0132 0132 0132 1 2 2 0 0 0 0 0 -1 0 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 12 0 0 -12 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070221137472 0.982135408946 3 12 6 12 0132 0132 2103 2103 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 -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 0.016663597053 1.073912688160 12 3 4 8 0132 0132 0132 0132 1 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 -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 -0.014445289710 0.930950253717 12 5 7 5 2031 2310 2310 0132 2 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582861471919 0.630843524837 10 9 11 9 0132 0132 1302 2103 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016663597053 1.073912688160 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_1']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_0'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0101_11'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_11, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_5, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 75/64*c_1100_0^5 + 37/64*c_1100_0^4 - 95/64*c_1100_0^3 + 159/64*c_1100_0^2 - 63/32*c_1100_0 + 11/16, c_0011_0 - 1, c_0011_10 - 15/8*c_1100_0^5 - 25/8*c_1100_0^4 - 43/8*c_1100_0^3 - 3/8*c_1100_0^2 - 13/4*c_1100_0, c_0011_11 - 9/8*c_1100_0^5 - 3/8*c_1100_0^4 - 7/8*c_1100_0^3 + 27/8*c_1100_0^2 - 5/2*c_1100_0 + 5/2, c_0011_6 + 3/4*c_1100_0^4 + 5/4*c_1100_0^3 + 2*c_1100_0^2 - 1/4*c_1100_0 + 5/4, c_0101_0 - 9/8*c_1100_0^5 - 3/8*c_1100_0^4 - 7/8*c_1100_0^3 + 27/8*c_1100_0^2 - 5/2*c_1100_0 + 5/2, c_0101_1 - 1, c_0101_10 + 3/4*c_1100_0^5 + 5/4*c_1100_0^4 + 2*c_1100_0^3 - 1/4*c_1100_0^2 + 5/4*c_1100_0, c_0101_11 + 3/4*c_1100_0^5 + 5/4*c_1100_0^4 + 2*c_1100_0^3 - 1/4*c_1100_0^2 + 5/4*c_1100_0, c_0110_5 + 3/8*c_1100_0^5 - 1/8*c_1100_0^4 + 1/8*c_1100_0^3 - 15/8*c_1100_0^2 + 1/2*c_1100_0 - 2, c_1001_0 - 1, c_1001_1 - 15/8*c_1100_0^5 - 13/8*c_1100_0^4 - 23/8*c_1100_0^3 + 29/8*c_1100_0^2 - 15/4*c_1100_0 + 5/2, c_1001_2 - 3/2*c_1100_0^5 - c_1100_0^4 - 3/2*c_1100_0^3 + 3*c_1100_0^2 - 3*c_1100_0 + 2, c_1100_0^6 + 2/3*c_1100_0^5 + 2*c_1100_0^4 - 4/3*c_1100_0^3 + 11/3*c_1100_0^2 - 2*c_1100_0 + 4/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB