Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 981182197] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0381 geometric_solution 4.44038098 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.281192203573 0.400736368609 0 2 2 0 3201 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.374029227846 0.798705131924 1 1 3 4 2310 0132 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 -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 -0.276277223446 0.481439200476 4 5 4 2 1230 0132 2031 0132 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 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 0.775202993726 0.797588617978 5 3 2 3 2310 3012 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775202993726 0.797588617978 6 3 4 6 0132 0132 3201 1023 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.178431800732 0.426896622356 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 -1 1 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.556331656434 0.244229845149 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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' : 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' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 86663203/80805*c_0101_6^15 - 160633482/26935*c_0101_6^14 - 234709224/26935*c_0101_6^13 + 468128801/80805*c_0101_6^12 + 3636326374/80805*c_0101_6^11 - 561667632/26935*c_0101_6^10 - 4988178763/80805*c_0101_6^9 + 1098253339/80805*c_0101_6^8 + 1050837992/16161*c_0101_6^7 + 602102519/80805*c_0101_6^6 - 7419897472/80805*c_0101_6^5 + 4178231524/80805*c_0101_6^4 + 353851685/16161*c_0101_6^3 - 935323394/26935*c_0101_6^2 + 1132048804/80805*c_0101_6 - 160122674/80805, c_0011_0 - 1, c_0011_1 - 14757751/16161*c_0101_6^15 - 81123655/16161*c_0101_6^14 - 114111554/16161*c_0101_6^13 + 90841165/16161*c_0101_6^12 + 620644282/16161*c_0101_6^11 - 326172248/16161*c_0101_6^10 - 855645815/16161*c_0101_6^9 + 238993558/16161*c_0101_6^8 + 915640256/16161*c_0101_6^7 + 56375093/16161*c_0101_6^6 - 1300214063/16161*c_0101_6^5 + 770762287/16161*c_0101_6^4 + 294578570/16161*c_0101_6^3 - 167694656/5387*c_0101_6^2 + 207456331/16161*c_0101_6 - 29655322/16161, c_0011_3 + 16150069/16161*c_0101_6^15 + 89007776/16161*c_0101_6^14 + 126281839/16161*c_0101_6^13 - 32266366/5387*c_0101_6^12 - 679103761/16161*c_0101_6^11 + 347215075/16161*c_0101_6^10 + 311875363/5387*c_0101_6^9 - 248376556/16161*c_0101_6^8 - 332595793/5387*c_0101_6^7 - 73792544/16161*c_0101_6^6 + 471513234/5387*c_0101_6^5 - 827904679/16161*c_0101_6^4 - 108266843/5387*c_0101_6^3 + 181403454/5387*c_0101_6^2 - 223031380/16161*c_0101_6 + 10586187/5387, c_0101_0 + 7393729/16161*c_0101_6^15 + 13529274/5387*c_0101_6^14 + 18939152/5387*c_0101_6^13 - 46238036/16161*c_0101_6^12 - 311194240/16161*c_0101_6^11 + 55200054/5387*c_0101_6^10 + 429329632/16161*c_0101_6^9 - 122579953/16161*c_0101_6^8 - 460319233/16161*c_0101_6^7 - 25908491/16161*c_0101_6^6 + 653759494/16161*c_0101_6^5 - 389245420/16161*c_0101_6^4 - 147512311/16161*c_0101_6^3 + 84477203/5387*c_0101_6^2 - 104622706/16161*c_0101_6 + 14956400/16161, c_0101_3 - 19619168/16161*c_0101_6^15 - 36077445/5387*c_0101_6^14 - 51338883/5387*c_0101_6^13 + 116612116/16161*c_0101_6^12 + 825398657/16161*c_0101_6^11 - 139045997/5387*c_0101_6^10 - 1137554444/16161*c_0101_6^9 + 295040144/16161*c_0101_6^8 + 1211746061/16161*c_0101_6^7 + 96439216/16161*c_0101_6^6 - 1715738321/16161*c_0101_6^5 + 996941150/16161*c_0101_6^4 + 397161602/16161*c_0101_6^3 - 219311694/5387*c_0101_6^2 + 268335515/16161*c_0101_6 - 38013094/16161, c_0101_5 + 15608492/16161*c_0101_6^15 + 85935098/16161*c_0101_6^14 + 121518742/16161*c_0101_6^13 - 94504673/16161*c_0101_6^12 - 656279216/16161*c_0101_6^11 + 339299287/16161*c_0101_6^10 + 904241353/16161*c_0101_6^9 - 245132600/16161*c_0101_6^8 - 965551471/16161*c_0101_6^7 - 66513688/16161*c_0101_6^6 + 1369938244/16161*c_0101_6^5 - 806377475/16161*c_0101_6^4 - 312552784/16161*c_0101_6^3 + 176121931/5387*c_0101_6^2 - 217273649/16161*c_0101_6 + 31037108/16161, c_0101_6^16 + 5*c_0101_6^15 + 5*c_0101_6^14 - 10*c_0101_6^13 - 39*c_0101_6^12 + 43*c_0101_6^11 + 47*c_0101_6^10 - 45*c_0101_6^9 - 54*c_0101_6^8 + 27*c_0101_6^7 + 90*c_0101_6^6 - 96*c_0101_6^5 + 6*c_0101_6^4 + 44*c_0101_6^3 - 31*c_0101_6^2 + 9*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB