Magma V2.19-8 Wed Aug 21 2013 01:13:49 on localhost [Seed = 156178349] Type ? for help. Type -D to quit. Loading file "L14n655__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n655 geometric_solution 11.75183617 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 2310 0132 0132 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 0 0 0 0 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 0.381542897259 0.664921260294 0 4 4 0 0132 0132 3201 3201 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 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 -0.649218940642 1.131404828445 5 6 7 0 0132 0132 0132 0132 1 1 1 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 1 -1 0 0 0 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 1.000000000000 0.837593050781 8 8 0 5 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 1 0 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 1.000000000000 0.837593050781 1 1 6 8 2310 0132 3120 0213 1 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 0 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381542897259 0.664921260294 2 9 3 10 0132 0132 0132 0132 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 0 0 0 0 0 0 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 0.587695264840 0.492249469806 11 2 4 9 0132 0132 3120 0132 1 1 0 1 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 0 0 0 0 0 -13 0 13 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 0.412304735160 0.492249469806 11 12 10 2 2031 0132 0132 0132 1 1 0 1 0 0 0 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 1 0 -1 0 0 0 0 -1 1 0 0 13 -14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 3 9 3 4 0132 2310 2310 0213 1 1 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 0 0 0 0 0 0 -1 0 1 0 -1 14 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412304735160 0.492249469806 12 5 6 8 0213 0132 0132 3201 1 1 1 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 14 0 0 -14 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.193897202308 11 12 5 7 1023 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 -1 0 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 0.000000000000 1.000000000000 6 10 7 12 0132 1023 1302 0213 1 1 1 0 0 0 0 0 -1 0 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 1 0 -1 13 0 -13 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 9 7 10 11 0213 0132 0213 0213 1 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 0 0 0 0 -1 0 1 0 0 0 0 -14 14 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_12'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0101_7'], 's_3_11' : d['1'], 's_0_11' : negation(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_0011_12'], 'c_0101_10' : d['c_0101_10'], '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_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_8' : d['c_0011_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(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' : 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' : d['1'], 'c_1100_12' : d['c_0101_7'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0101_6']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_1001_0, c_1001_10, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 2/5*c_1100_0 - 4/5, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 - c_1100_0 + 1, c_0011_3 + 1/2*c_1100_0 - 1, c_0101_0 + 1/2*c_1100_0 - 1, c_0101_1 + 1/2*c_1100_0, c_0101_10 + c_1100_0 - 1, c_0101_6 - c_1100_0, c_0101_7 + c_1100_0 - 1, c_1001_0 + 1/2*c_1100_0 - 2, c_1001_10 - 1, c_1001_5 + 3/2*c_1100_0 - 2, c_1100_0^2 - 2*c_1100_0 + 2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_1001_0, c_1001_10, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 2/5*c_1100_0, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 + c_1100_0 - 1, c_0011_3 + 1/2*c_1100_0 - 1, c_0101_0 + 1/2*c_1100_0 - 1, c_0101_1 - 1/2*c_1100_0, c_0101_10 - c_1100_0 + 1, c_0101_6 - c_1100_0, c_0101_7 + 1, c_1001_0 - 1/2*c_1100_0 + 2, c_1001_10 - 1, c_1001_5 - 3/2*c_1100_0 + 2, c_1100_0^2 - 2*c_1100_0 + 2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_1001_0, c_1001_10, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2219/80*c_1001_5*c_1100_0^3 - 15841/160*c_1001_5*c_1100_0^2 - 97/80*c_1001_5*c_1100_0 - 2277/80*c_1001_5 - 511/40*c_1100_0^3 - 3869/80*c_1100_0^2 - 333/40*c_1100_0 - 193/40, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 - 3/5*c_1001_5*c_1100_0^3 - 17/10*c_1001_5*c_1100_0^2 + 6/5*c_1001_5*c_1100_0 - 9/5*c_1001_5, c_0011_3 - 1/5*c_1100_0^3 - 9/10*c_1100_0^2 - 1/10*c_1100_0 + 2/5, c_0101_0 - 1/5*c_1100_0^3 - 9/10*c_1100_0^2 - 1/10*c_1100_0 + 2/5, c_0101_1 - c_1001_5*c_1100_0^3 - 3*c_1001_5*c_1100_0^2 + 2*c_1001_5*c_1100_0 - c_1001_5, c_0101_10 - 3/5*c_1001_5*c_1100_0^3 - 17/10*c_1001_5*c_1100_0^2 + 6/5*c_1001_5*c_1100_0 - 9/5*c_1001_5, c_0101_6 - c_1100_0, c_0101_7 - 1/10*c_1001_5*c_1100_0^3 - 9/20*c_1001_5*c_1100_0^2 - 3/10*c_1001_5*c_1100_0 - 3/10*c_1001_5 - 1/2*c_1100_0, c_1001_0 - 2/5*c_1001_5*c_1100_0^3 - 9/5*c_1001_5*c_1100_0^2 - 6/5*c_1001_5*c_1100_0 - 1/5*c_1001_5, c_1001_10 + 1, c_1001_5^2 - 4/5*c_1100_0^3 - 3/5*c_1100_0^2 + 11/10*c_1100_0 + 1/10, c_1100_0^4 + 5/2*c_1100_0^3 - 7/2*c_1100_0^2 + 2*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB