Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 2985307491] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1283 geometric_solution 5.17753257 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 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 0 0 0 1 0 -1 0 0 1 -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 0.464215424197 0.418086671579 0 3 2 4 0132 0132 1230 0132 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 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 0.810595864934 1.071213902150 3 0 4 1 3201 0132 2310 3012 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 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 0 0 0.810595864934 1.071213902150 3 1 3 2 2310 0132 3201 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 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 -0.261360919536 0.904825109927 5 2 1 5 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.692689940641 0.479801670346 4 6 6 4 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.332036387625 0.383594174815 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.579983081649 0.172105245661 ==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' : 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' : negation(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' : negation(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_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 161176268946171/3523447659769*c_0101_5*c_0101_6^11 + 541737772233647/3523447659769*c_0101_5*c_0101_6^10 - 3793452088183843/7046895319538*c_0101_5*c_0101_6^9 + 8395949072932903/7046895319538*c_0101_5*c_0101_6^8 - 14815776464509731/7046895319538*c_0101_5*c_0101_6^7 - 7890443100758793/3523447659769*c_0101_5*c_0101_6^6 - 3588627400304927/7046895319538*c_0101_5*c_0101_6^5 - 10319647377527439/7046895319538*c_0101_5*c_0101_6^4 - 2537742042457982/3523447659769*c_0101_5*c_0101_6^3 - 3602168479903713/7046895319538*c_0101_5*c_0101_6^2 - 442856816803834/3523447659769*c_0101_5*c_0101_6 - 424254259257281/7046895319538*c_0101_5, c_0011_0 - 1, c_0011_4 - 991391745393/3523447659769*c_0101_5*c_0101_6^11 - 3096600432822/3523447659769*c_0101_5*c_0101_6^10 + 12053264796076/3523447659769*c_0101_5*c_0101_6^9 - 29935524999343/3523447659769*c_0101_5*c_0101_6^8 + 56722245963547/3523447659769*c_0101_5*c_0101_6^7 + 27465027521721/3523447659769*c_0101_5*c_0101_6^6 + 16504903511165/3523447659769*c_0101_5*c_0101_6^5 + 52631475419910/3523447659769*c_0101_5*c_0101_6^4 + 3089302551095/3523447659769*c_0101_5*c_0101_6^3 + 12529938537654/3523447659769*c_0101_5*c_0101_6^2 + 4009006706401/3523447659769*c_0101_5*c_0101_6 + 3992784021013/3523447659769*c_0101_5, c_0101_0 + 2847791858967/3523447659769*c_0101_6^11 + 9114722436846/3523447659769*c_0101_6^10 - 35144915707217/3523447659769*c_0101_6^9 + 79264345408070/3523447659769*c_0101_6^8 - 141647351942614/3523447659769*c_0101_6^7 - 121565084935959/3523447659769*c_0101_6^6 - 3128411210236/3523447659769*c_0101_6^5 - 85361918424410/3523447659769*c_0101_6^4 - 25709450444941/3523447659769*c_0101_6^3 - 20193010013613/3523447659769*c_0101_6^2 + 1427207730808/3523447659769*c_0101_6 - 330055912775/3523447659769, c_0101_1 + 964506885186/3523447659769*c_0101_6^11 + 4415419963025/3523447659769*c_0101_6^10 - 6849733292797/3523447659769*c_0101_6^9 + 12830646942261/3523447659769*c_0101_6^8 - 21548895347882/3523447659769*c_0101_6^7 - 82840466145303/3523447659769*c_0101_6^6 - 102151284606426/3523447659769*c_0101_6^5 - 56024183373454/3523447659769*c_0101_6^4 - 40380306467696/3523447659769*c_0101_6^3 - 35360899073596/3523447659769*c_0101_6^2 - 14053799983796/3523447659769*c_0101_6 - 4275868011268/3523447659769, c_0101_2 - 1224007068/3523447659769*c_0101_5*c_0101_6^11 - 2313777251264/3523447659769*c_0101_5*c_0101_6^10 - 7623246849570/3523447659769*c_0101_5*c_0101_6^9 + 27653192776574/3523447659769*c_0101_5*c_0101_6^8 - 61158641239198/3523447659769*c_0101_5*c_0101_6^7 + 109042203339285/3523447659769*c_0101_5*c_0101_6^6 + 108034900384599/3523447659769*c_0101_5*c_0101_6^5 + 18463568486571/3523447659769*c_0101_5*c_0101_6^4 + 64357139342930/3523447659769*c_0101_5*c_0101_6^3 + 20416369692745/3523447659769*c_0101_5*c_0101_6^2 + 17930954377289/3523447659769*c_0101_5*c_0101_6 + 255184900780/3523447659769*c_0101_5, c_0101_5^2 - 52946722650/3523447659769*c_0101_6^11 + 44584266538/3523447659769*c_0101_6^10 + 1640664687198/3523447659769*c_0101_6^9 - 3141147195958/3523447659769*c_0101_6^8 + 4799535788350/3523447659769*c_0101_6^7 - 362149164471/3523447659769*c_0101_6^6 - 22961302247781/3523447659769*c_0101_6^5 - 13926700809542/3523447659769*c_0101_6^4 - 2748388530151/3523447659769*c_0101_6^3 - 9800418232690/3523447659769*c_0101_6^2 - 2800406512348/3523447659769*c_0101_6 - 2253278761166/3523447659769, c_0101_6^12 + 11/3*c_0101_6^11 - 32/3*c_0101_6^10 + 68/3*c_0101_6^9 - 39*c_0101_6^8 - 182/3*c_0101_6^7 - 91/3*c_0101_6^6 - 113/3*c_0101_6^5 - 73/3*c_0101_6^4 - 18*c_0101_6^3 - 19/3*c_0101_6^2 - 7/3*c_0101_6 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB