Magma V2.19-8 Tue Aug 20 2013 16:18:21 on localhost [Seed = 2033771604] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2568 geometric_solution 5.87017357 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 0 0 0 0 0 1 -1 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 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 0.447319320404 1.330133537464 0 4 5 0 0132 0132 0132 1023 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 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 0 0 0 -0.527187087742 0.783712149927 4 0 6 3 0132 0132 0132 3201 0 0 0 0 0 -1 1 0 0 0 0 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 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 0.220928815547 0.555637363843 6 2 5 0 1023 2310 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220928815547 0.555637363843 2 1 5 5 0132 0132 2103 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.139397153669 1.253988583437 4 4 3 1 2103 2310 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 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 -0.139397153669 1.253988583437 6 3 6 2 2310 1023 3201 0132 0 0 0 0 0 0 1 -1 -1 0 1 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 -1 1 1 0 -1 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 -0.617909378516 1.554045982287 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), '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_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_0_6' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], '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_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 14879874154190673/111853874746492957*c_0101_4^13 - 1505285215928676842/111853874746492957*c_0101_4^11 - 269852991300129228/5887046039289103*c_0101_4^9 - 9416234906667378168/111853874746492957*c_0101_4^7 - 23893744387319316812/111853874746492957*c_0101_4^5 - 30628713194152793661/111853874746492957*c_0101_4^3 + 722844385156642006/111853874746492957*c_0101_4, c_0011_0 - 1, c_0011_3 + 48565305194/23834194491049*c_0101_4^13 - 4882646533400/23834194491049*c_0101_4^11 - 19803051533209/23834194491049*c_0101_4^9 - 41254434523611/23834194491049*c_0101_4^7 - 96952347694262/23834194491049*c_0101_4^5 - 155553813950910/23834194491049*c_0101_4^3 - 55141056258810/23834194491049*c_0101_4, c_0011_5 + 391042208796/23834194491049*c_0101_4^13 - 39519910400209/23834194491049*c_0101_4^11 - 138665024092489/23834194491049*c_0101_4^9 - 262178877616840/23834194491049*c_0101_4^7 - 650702764501283/23834194491049*c_0101_4^5 - 869617065509044/23834194491049*c_0101_4^3 - 71096292876699/23834194491049*c_0101_4, c_0101_0 + 13458042874/23834194491049*c_0101_4^12 - 1392854787467/23834194491049*c_0101_4^10 - 1428875491752/23834194491049*c_0101_4^8 - 943334652149/23834194491049*c_0101_4^6 - 4534301747814/23834194491049*c_0101_4^4 + 20104909990330/23834194491049*c_0101_4^2 + 27173286595840/23834194491049, c_0101_2 + 62023348068/23834194491049*c_0101_4^12 - 6275501320867/23834194491049*c_0101_4^10 - 21231927024961/23834194491049*c_0101_4^8 - 42197769175760/23834194491049*c_0101_4^6 - 101486649442076/23834194491049*c_0101_4^4 - 135448903960580/23834194491049*c_0101_4^2 - 27967769662970/23834194491049, c_0101_4^14 - 101*c_0101_4^12 - 361*c_0101_4^10 - 690*c_0101_4^8 - 1713*c_0101_4^6 - 2331*c_0101_4^4 - 311*c_0101_4^2 - 19, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB