Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 2294879666] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2381 geometric_solution 5.74753719 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225611924592 0.394180856260 0 4 0 5 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151072059775 0.873239527042 5 0 3 3 1302 0132 2310 1230 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 -1 1 0 0 0 1 -1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247856665211 1.561985914490 2 2 0 4 3012 3201 0132 1302 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 -2 1 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 0.247856665211 1.561985914490 5 1 3 6 3120 0132 2031 0132 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 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 1.160899688783 0.935212023531 6 2 1 4 1023 2031 0132 3120 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.160899688783 0.935212023531 6 5 4 6 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 -1 1 -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 -1 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.477615684048 0.420828860498 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], '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_5'], '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' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_5']})} 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_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 134331/98800*c_0101_6^13 - 364269/49400*c_0101_6^11 + 6741/4940*c_0101_6^9 + 953677/98800*c_0101_6^7 - 444547/49400*c_0101_6^5 - 717283/98800*c_0101_6^3 + 538489/24700*c_0101_6, c_0011_0 - 1, c_0011_3 - 73/1900*c_0101_6^13 + 187/950*c_0101_6^11 + 7/95*c_0101_6^9 - 1091/1900*c_0101_6^7 + 121/950*c_0101_6^5 + 2029/1900*c_0101_6^3 - 597/475*c_0101_6, c_0011_5 - 3/190*c_0101_6^12 + 3/95*c_0101_6^10 + 5/19*c_0101_6^8 - 11/190*c_0101_6^6 - 7/95*c_0101_6^4 + 23/190*c_0101_6^2 - 41/95, c_0101_0 - 47/950*c_0101_6^12 + 123/475*c_0101_6^10 - 4/95*c_0101_6^8 - 299/950*c_0101_6^6 + 454/475*c_0101_6^4 - 349/950*c_0101_6^2 - 351/475, c_0101_1 - 46/475*c_0101_6^13 + 263/475*c_0101_6^11 - 24/95*c_0101_6^9 - 232/475*c_0101_6^7 + 64/475*c_0101_6^5 + 188/475*c_0101_6^3 - 681/475*c_0101_6, c_0101_4 + 1, c_0101_6^14 - 6*c_0101_6^12 + 4*c_0101_6^10 + 7*c_0101_6^8 - 10*c_0101_6^6 - c_0101_6^4 + 20*c_0101_6^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB