Magma V2.19-8 Wed Aug 21 2013 01:03:39 on localhost [Seed = 324340524] Type ? for help. Type -D to quit. Loading file "L14n21278__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n21278 geometric_solution 12.08990115 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -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 -1 1 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 0.862845777688 0.529053869186 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346013289872 0.789494999407 8 0 6 9 0132 0132 1230 0132 1 1 0 1 0 0 0 0 0 0 0 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 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 0.156510568659 1.135469967030 10 5 4 0 0132 1230 2031 0132 1 1 0 1 0 0 0 0 0 0 1 -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 -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 0.767159851965 0.531268994330 11 7 0 3 0132 1230 0132 1302 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 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 0.380870722050 0.864272096541 9 1 3 12 1023 0132 3012 0132 1 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 0 0 0 0 0 0 0 0 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 0.718243522786 0.875568348154 10 12 1 2 2103 0132 0132 3012 1 1 1 0 0 -1 0 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 -1 0 1 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 0.622251290059 0.751183891458 11 8 4 1 3120 2310 3012 0132 1 1 1 1 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 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 0.205248931752 0.420515546145 2 9 12 7 0132 1023 1302 3201 1 1 1 0 0 0 0 0 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 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 0.320834030867 1.546979820382 8 5 2 11 1023 1023 0132 0321 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 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 0.351132927529 0.434842183996 3 12 6 11 0132 1302 2103 3012 1 1 1 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 1 -1 0 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 0.692026579744 1.578989998815 4 9 10 7 0132 0321 1230 3120 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 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 0.477067159969 0.464903558437 8 6 5 10 2031 0132 0132 2031 1 1 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 1 0 -1 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 0.905512252806 1.094548167094 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_6'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_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_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' : 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_0110_6'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0110_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0011_7']), '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'], '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' : 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_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_3']), '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_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_12, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 10049/171*c_1001_2^5 - 63413/855*c_1001_2^4 - 12301/855*c_1001_2^3 + 8057/855*c_1001_2^2 + 63364/855*c_1001_2 - 48608/855, c_0011_0 - 1, c_0011_10 - 5/9*c_1001_2^5 + 4/3*c_1001_2^4 - 1/9*c_1001_2^3 - 5/3*c_1001_2^2 - 5/9*c_1001_2 + 1, c_0011_11 + 5/9*c_1001_2^5 - 4/3*c_1001_2^4 + 1/9*c_1001_2^3 + 23/9*c_1001_2 - 8/3, c_0011_12 - 5/9*c_1001_2^5 + 4/3*c_1001_2^4 - 1/9*c_1001_2^3 - 5/3*c_1001_2^2 - 5/9*c_1001_2 + 2, c_0011_7 + 5/3*c_1001_2^5 - 31/9*c_1001_2^4 + 2/3*c_1001_2^3 + 10/9*c_1001_2^2 + 3*c_1001_2 - 31/9, c_0101_0 + 40/9*c_1001_2^5 - 76/9*c_1001_2^4 + 5/9*c_1001_2^3 + 31/9*c_1001_2^2 + 73/9*c_1001_2 - 64/9, c_0101_1 - 1, c_0101_11 - 10/9*c_1001_2^5 + 19/9*c_1001_2^4 - 5/9*c_1001_2^3 - 10/9*c_1001_2^2 - 4/9*c_1001_2 + 7/9, c_0101_2 - 5/9*c_1001_2^5 + 2/9*c_1001_2^4 + 8/9*c_1001_2^3 + 4/9*c_1001_2^2 - 23/9*c_1001_2 + 11/9, c_0101_3 + 5/3*c_1001_2^5 - 7/3*c_1001_2^4 - 1/3*c_1001_2^3 + 2/3*c_1001_2^2 + 2*c_1001_2 - 1, c_0101_5 + 5/9*c_1001_2^5 - 22/9*c_1001_2^4 + 10/9*c_1001_2^3 + 19/9*c_1001_2^2 + 14/9*c_1001_2 - 31/9, c_0110_6 + c_1001_2 - 1, c_1001_2^6 - 12/5*c_1001_2^5 + 6/5*c_1001_2^4 + 3/5*c_1001_2^3 + 6/5*c_1001_2^2 - 12/5*c_1001_2 + 1 ], 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_12, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 5/26*c_0110_6^5 + 15/52*c_0110_6^4 - 1/13*c_0110_6^3 + 3/26*c_0110_6^2 + 23/52*c_0110_6 - 7/26, c_0011_0 - 1, c_0011_10 - 1/2*c_0110_6^5 - c_0110_6^4 - 1/2*c_0110_6^3 - 3/2*c_0110_6^2 - 3/2, c_0011_11 - 1/2*c_0110_6^5 - c_0110_6^4 - c_0110_6^3 - 5/2*c_0110_6^2 - c_0110_6 - 3, c_0011_12 + 1/2*c_0110_6^5 + c_0110_6^4 + 1/2*c_0110_6^3 + 3/2*c_0110_6^2 + 3/2, c_0011_7 - 1/2*c_0110_6^5 - c_0110_6^4 - 1/2*c_0110_6^2 - 1, c_0101_0 - 1/2*c_0110_6^3 - c_0110_6^2 - 1/2, c_0101_1 - 1, c_0101_11 - c_0110_6^5 - 5/2*c_0110_6^4 - 2*c_0110_6^3 - 3*c_0110_6^2 - 3/2*c_0110_6 - 3, c_0101_2 + 1/2*c_0110_6^5 + 3/2*c_0110_6^4 + 2*c_0110_6^3 + 5/2*c_0110_6^2 + 3/2*c_0110_6 + 2, c_0101_3 + 1/4*c_0110_6^5 + 3/4*c_0110_6^4 + c_0110_6^3 + 7/4*c_0110_6^2 + 3/4*c_0110_6 + 1/2, c_0101_5 - 1/4*c_0110_6^5 - 3/4*c_0110_6^4 - 1/2*c_0110_6^3 - 3/4*c_0110_6^2 - 3/4*c_0110_6, c_0110_6^6 + 2*c_0110_6^5 + c_0110_6^4 + 3*c_0110_6^3 + 3*c_0110_6 - 2, c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.560 seconds, Total memory usage: 32.09MB