Magma V2.19-8 Tue Aug 20 2013 23:57:54 on localhost [Seed = 4290352991] Type ? for help. Type -D to quit. Loading file "L14n38263__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38263 geometric_solution 11.22021479 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1302 1 1 1 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 -1 0 1 0 0 4 -4 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585252416976 1.064228378584 0 4 6 5 0132 0132 0132 0132 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 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 0.367386675990 0.503940647475 7 0 0 4 0132 0132 2031 2103 1 1 0 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 1 -1 0 1 0 -1 0 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603246253453 0.721460662335 8 6 9 0 0132 2103 0132 0132 1 1 0 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 0 0 0 0 4 -4 0 -1 0 1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424343908489 0.440962635592 6 1 8 2 0213 0132 3012 2103 0 1 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 5 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055389188779 1.295713249632 8 7 1 10 2103 0213 0132 0132 0 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 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298505059445 0.639013779324 4 3 7 1 0213 2103 0213 0132 0 1 1 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 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560028260895 1.195578627755 2 6 5 10 0132 0213 0213 0213 0 1 1 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 1 0 -1 -1 0 -4 5 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.094761236688 0.838606257091 3 4 5 9 0132 1230 2103 0321 1 1 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 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399922139887 1.284594713378 10 8 11 3 1302 0321 0132 0132 1 1 0 1 0 0 0 0 -1 0 0 1 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 4 0 0 -4 1 -1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877961364615 0.677185232469 11 9 5 7 1230 2031 0132 0213 0 1 1 1 0 0 0 0 1 0 0 -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 -1 0 1 -5 0 0 5 0 5 0 -5 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257751902242 1.430250193218 11 10 11 9 2310 3012 3201 0132 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 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.993190770451 0.697092850860 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1010_7'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_1010_7'], 'c_1100_1' : d['c_1010_7'], 'c_1100_0' : negation(d['c_0011_11']), 'c_1100_3' : negation(d['c_0011_11']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_1010_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0101_10']), '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' : negation(d['1']), 's_3_8' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_5, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2074487/308655*c_1010_7^8 - 2272066/308655*c_1010_7^7 + 8551801/308655*c_1010_7^6 + 7166998/308655*c_1010_7^5 - 3960913/102885*c_1010_7^4 - 588184/61731*c_1010_7^3 + 7888289/308655*c_1010_7^2 - 4398281/308655*c_1010_7 - 3643129/308655, c_0011_0 - 1, c_0011_10 + c_1010_7^8 - c_1010_7^7 - 3*c_1010_7^6 + 4*c_1010_7^5 + c_1010_7^4 - 4*c_1010_7^3 + 2*c_1010_7^2 + 1, c_0011_11 + c_1010_7^2 - c_1010_7, c_0011_3 + c_1010_7^2 - 1, c_0011_5 - c_1010_7^2 + c_1010_7 + 1, c_0011_6 - c_1010_7, c_0011_9 - c_1010_7^4 + 2*c_1010_7^2, c_0101_0 + c_1010_7^2 - c_1010_7 - 1, c_0101_1 - 1, c_0101_10 + c_1010_7^8 - 4*c_1010_7^6 + c_1010_7^5 + 3*c_1010_7^4 - 2*c_1010_7^3 + 3*c_1010_7^2 - c_1010_7 + 1, c_1001_0 + 1, c_1010_7^9 + c_1010_7^8 - 4*c_1010_7^7 - 3*c_1010_7^6 + 5*c_1010_7^5 + c_1010_7^4 - 2*c_1010_7^3 + 2*c_1010_7^2 + c_1010_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB