Magma V2.19-8 Tue Aug 20 2013 18:10:47 on localhost [Seed = 2766479251] Type ? for help. Type -D to quit. Loading file "10^2_57__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_57 geometric_solution 13.84505059 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 1 0 0 0 0 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 -1 0 1 -1 0 1 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 0.123914110558 2.133168459863 0 4 6 5 0132 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945720298119 0.934419393744 7 0 8 3 0132 0132 0132 0132 1 0 0 0 0 -1 0 1 -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 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 0.624525208772 0.713860201717 9 10 2 0 0132 0132 0132 0132 1 0 0 0 0 0 -1 1 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 -1 1 0 1 0 0 -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 0.048821305424 1.337137127552 1 10 0 8 1023 0321 0132 0132 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 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 0.232473514320 0.264329672374 6 11 1 6 1023 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.897215284800 0.665456951153 5 5 9 1 3120 1023 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.280978527639 0.533292114966 2 12 13 12 0132 0132 0132 2103 0 0 0 0 0 -1 0 1 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 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 0.793505875020 0.694203740546 11 10 4 2 3012 0213 0132 0132 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037876824301 1.046892659172 3 13 6 13 0132 3201 1023 3120 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 0 0 1 -1 -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 0.403007825352 0.570543298764 12 3 8 4 0321 0132 0213 0321 1 0 0 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 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 0.741882344940 1.498398511173 14 5 14 8 0132 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347852364126 0.815886110889 10 7 14 7 0321 0132 0321 2103 0 0 0 0 0 1 -1 0 -1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648145911885 0.888348859355 9 14 9 7 3120 1302 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 -1 0 1 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 0.403007825352 0.570543298764 11 11 12 13 0132 1230 0321 2031 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 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 0.597770440555 0.747856118952 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0101_2']), 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_0011_13'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_12']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_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' : negation(d['c_0101_13']), 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : negation(d['c_1001_12']), 'c_1010_12' : negation(d['c_1001_12']), 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_1001_0'], 'c_1010_14' : d['c_0011_13'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_13'], 'c_0101_10' : d['c_0011_8'], 'c_0101_14' : d['c_0011_8'], 's_2_0' : negation(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_13' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_0'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_13'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0101_13'], 'c_1100_1' : d['c_0101_13'], '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_9' : negation(d['c_0101_13']), 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_1001_2'], 'c_1100_13' : d['c_0011_10'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1100_14' : d['c_1001_12'], 'c_1010_9' : negation(d['c_0011_13']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_2']), 's_1_7' : negation(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_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : negation(d['c_0011_11']), '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_0011_8'], 'c_0110_10' : d['c_0011_0'], 'c_0110_13' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0110_14' : d['c_0011_13'], 's_0_13' : d['1'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0011_7' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_13']), 'c_0101_5' : d['c_0101_0'], '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' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], '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_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_8, c_0101_0, c_0101_1, c_0101_13, c_0101_2, c_0101_3, c_0101_8, c_1001_0, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 67398656/371961*c_1001_12*c_1001_2*c_1100_0 - 359293952/1859805*c_1001_12*c_1001_2 + 17263616/371961*c_1001_12*c_1100_0 - 250338304/1859805*c_1001_12 - 2333696/1859805*c_1001_2*c_1100_0 - 73241600/371961*c_1001_2 + 465963008/1859805*c_1100_0 + 60520448/371961, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_12*c_1001_2 - 1/2*c_1001_12 + 1/2*c_1001_2*c_1100_0, c_0011_11 - 1/2*c_1100_0 + 1/2, c_0011_13 + 1/2*c_1001_12*c_1001_2 - 1/2*c_1001_12 - 1/2*c_1001_2, c_0011_8 + 1/2*c_1001_12*c_1001_2 + 1/2*c_1001_12 + 1/2*c_1100_0 - 1, c_0101_0 + 1/2*c_1001_2*c_1100_0, c_0101_1 - 1/2*c_1100_0, c_0101_13 + 1/2*c_1001_2*c_1100_0 + 1/2*c_1001_2, c_0101_2 - 1/2*c_1001_12*c_1001_2*c_1100_0 - 1/2*c_1001_12*c_1100_0 + 1/2, c_0101_3 + 1/2*c_1001_12*c_1001_2*c_1100_0 - 1/2*c_1001_12*c_1100_0 - c_1001_2*c_1100_0 - 1/2*c_1001_2, c_0101_8 + 3/2*c_1001_2*c_1100_0, c_1001_0 - 1, c_1001_12^2 + c_1001_12*c_1001_2 - 1/2*c_1001_2, c_1001_2^2 + 1, c_1100_0^2 + c_1100_0 + 1 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_8, c_0101_0, c_0101_1, c_0101_13, c_0101_2, c_0101_3, c_0101_8, c_1001_0, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1195316065261/1127622002*c_1001_12*c_1001_2*c_1100_0^2 + 539355184551/1127622002*c_1001_12*c_1001_2*c_1100_0 + 2638770393711/1127622002*c_1001_12*c_1001_2 + 670623706237/1127622002*c_1001_12*c_1100_0^2 + 300117695831/1127622002*c_1001_12*c_1100_0 + 1474466026655/1127622002*c_1001_12 + 663882659690/563811001*c_1001_2*c_1100_0^2 + 298601255934/563811001*c_1001_2*c_1100_0 + 1462840334350/563811001*c_1001_2 - 971193427837/1127622002*c_1100_0^2 - 438033319511/1127622002*c_1100_0 - 2147486381471/1127622002, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_12*c_1001_2 - 1/2*c_1001_12 + 1/2*c_1001_2*c_1100_0, c_0011_11 + 1/2*c_1100_0 - 1/2, c_0011_13 - 1/2*c_1001_12*c_1001_2 + 1/2*c_1001_12 + 1/2*c_1001_2, c_0011_8 + 1/2*c_1001_12*c_1001_2 + 1/2*c_1001_12 + 1/2*c_1100_0 - 1, c_0101_0 + 1/2*c_1001_2*c_1100_0^2 + c_1001_2*c_1100_0 + 1/2*c_1001_2, c_0101_1 + 1/2*c_1100_0^2 + 1/2, c_0101_13 - 1/2*c_1001_2*c_1100_0 - 1/2*c_1001_2, c_0101_2 - 1/2*c_1001_12*c_1001_2*c_1100_0 - 1/2*c_1001_12*c_1100_0 + 1/2, c_0101_3 + 1/2*c_1001_12*c_1001_2*c_1100_0 - 1/2*c_1001_12*c_1100_0 - c_1001_2*c_1100_0 - 1/2*c_1001_2, c_0101_8 - 1/2*c_1001_2*c_1100_0^2 + c_1001_2*c_1100_0 - 1/2*c_1001_2, c_1001_0 - 1, c_1001_12^2 + c_1001_12*c_1001_2 - 1/2*c_1001_2, c_1001_2^2 + 1, c_1100_0^3 + 2*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.050 Total time: 1.260 seconds, Total memory usage: 64.12MB