Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 1781266108] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1509 geometric_solution 5.31410213 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.980828017603 1.415634964485 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.148205253558 0.748480955610 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.349615529762 0.385625846682 4 5 6 2 1023 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 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 -0.018915378176 0.989108850040 5 3 2 6 3201 1023 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018915378176 0.989108850040 5 3 5 4 2031 0132 1302 2310 0 0 0 0 0 0 0 0 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 0 0 0 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 0.521472144905 0.852764425299 6 6 4 3 1230 3012 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 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 1.373117352213 1.402809200353 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : 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' : d['1'], 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_0011_6, c_0101_1, c_0101_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 6377115364038717053911/53399435121198793560*c_0101_6*c_1100_2^10 - 17133638705739831968821/13349858780299698390*c_0101_6*c_1100_2^9 - 958527300461846832583/920679915882737820*c_0101_6*c_1100_2^8 + 1509957906121374609668191/53399435121198793560*c_0101_6*c_1100_2^7 + 1769287952734052432497481/26699717560599396780*c_0101_6*c_1100_2^6 - 4018970389782924298343087/53399435121198793560*c_0101_6*c_1100_2^5 - 915346252543590656368307/8899905853533132260*c_0101_6*c_1100_2^4 + 5567923636157448005689487/53399435121198793560*c_0101_6*c_1100_2^3 + 135224407170081261199141/26699717560599396780*c_0101_6*c_1100_2^2 - 267157010683067160916099/6674929390149849195*c_0101_6*c_1100_2 + 1037155370342060490080033/53399435121198793560*c_0101_6, c_0011_0 - 1, c_0011_1 - 55698962024947/5613901926114255*c_1100_2^10 + 575761806587668/5613901926114255*c_1100_2^9 + 708279868519468/5613901926114255*c_1100_2^8 - 12766005476519797/5613901926114255*c_1100_2^7 - 35904131085932284/5613901926114255*c_1100_2^6 + 17319053227368164/5613901926114255*c_1100_2^5 + 15063169476923458/1871300642038085*c_1100_2^4 - 27903589644244034/5613901926114255*c_1100_2^3 + 2083505161552621/5613901926114255*c_1100_2^2 + 10171194974870114/5613901926114255*c_1100_2 - 6576604275539636/5613901926114255, c_0011_3 - 10742217643653343/162803155857313395*c_0101_6*c_1100_2^10 + 114926881141961392/162803155857313395*c_0101_6*c_1100_2^9 + 3426047207061488/5613901926114255*c_0101_6*c_1100_2^8 - 2540421973486420288/162803155857313395*c_0101_6*c_1100_2^7 - 6084155798332305961/162803155857313395*c_0101_6*c_1100_2^6 + 6514235969560118366/162803155857313395*c_0101_6*c_1100_2^5 + 3211114760192001682/54267718619104465*c_0101_6*c_1100_2^4 - 9084600260954366441/162803155857313395*c_0101_6*c_1100_2^3 - 1088364576480093716/162803155857313395*c_0101_6*c_1100_2^2 + 3678355948290668546/162803155857313395*c_0101_6*c_1100_2 - 1654682158303425284/162803155857313395*c_0101_6, c_0011_6 - 78059992686239/5613901926114255*c_1100_2^10 + 810402232680056/5613901926114255*c_1100_2^9 + 949631827150616/5613901926114255*c_1100_2^8 - 17853630216196964/5613901926114255*c_1100_2^7 - 49556030375732093/5613901926114255*c_1100_2^6 + 24991115426987713/5613901926114255*c_1100_2^5 + 20052773785689551/1871300642038085*c_1100_2^4 - 36165369803042113/5613901926114255*c_1100_2^3 + 1650746031649337/5613901926114255*c_1100_2^2 + 16135719494140078/5613901926114255*c_1100_2 - 5417063310888007/5613901926114255, c_0101_1 + 2242213987354768/54267718619104465*c_0101_6*c_1100_2^10 - 24662297966783597/54267718619104465*c_0101_6*c_1100_2^9 - 486388393870128/1871300642038085*c_0101_6*c_1100_2^8 + 542356878367706668/54267718619104465*c_0101_6*c_1100_2^7 + 1118446685533036881/54267718619104465*c_0101_6*c_1100_2^6 - 1869364178559028576/54267718619104465*c_0101_6*c_1100_2^5 - 1988435831974131931/54267718619104465*c_0101_6*c_1100_2^4 + 2578711091460873386/54267718619104465*c_0101_6*c_1100_2^3 + 16150890190822631/54267718619104465*c_0101_6*c_1100_2^2 - 1001926440703682621/54267718619104465*c_0101_6*c_1100_2 + 545271436359730829/54267718619104465*c_0101_6, c_0101_6^2 + 140883424580269/5613901926114255*c_1100_2^10 - 1431119773990636/5613901926114255*c_1100_2^9 - 2057034351776161/5613901926114255*c_1100_2^8 + 32015484356147104/5613901926114255*c_1100_2^7 + 96722116513900813/5613901926114255*c_1100_2^6 - 28634337853243433/5613901926114255*c_1100_2^5 - 42350522857796051/1871300642038085*c_1100_2^4 + 47844673434921998/5613901926114255*c_1100_2^3 + 17890178699507543/5613901926114255*c_1100_2^2 - 31215989202105413/5613901926114255*c_1100_2 + 6446819492584007/5613901926114255, c_1100_2^11 - 11*c_1100_2^10 - 6*c_1100_2^9 + 239*c_1100_2^8 + 495*c_1100_2^7 - 771*c_1100_2^6 - 703*c_1100_2^5 + 1091*c_1100_2^4 - 177*c_1100_2^3 - 346*c_1100_2^2 + 247*c_1100_2 - 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB