Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 2134827960] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0242 geometric_solution 4.25840936 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194790562293 0.193375661512 0 0 4 3 0132 2310 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 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814620489188 2.716613025836 0 0 5 5 2310 0132 2310 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.492657133223 1.311576168480 4 4 1 6 1023 2031 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334499778918 0.611450985319 3 3 6 1 1302 1023 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 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 -1 0 1 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 0.334499778918 0.611450985319 5 2 2 5 3201 3201 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 0 0 -1 0 0 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.457586744702 0.065427855581 4 6 3 6 2310 2310 0132 3201 0 0 0 0 0 1 -1 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 -1 1 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 0.118168629913 0.843737608322 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], '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_3'], 'c_0011_6' : d['c_0011_6'], '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_0101_2']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : 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_0']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), '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_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 7261079095/1856199867*c_0101_2^12 + 31034490361/1856199867*c_0101_2^11 - 105289438745/1856199867*c_0101_2^10 + 199739447455/1856199867*c_0101_2^9 - 66937949650/618733289*c_0101_2^8 - 273644569415/1856199867*c_0101_2^7 + 231206325581/618733289*c_0101_2^6 - 101083074267/618733289*c_0101_2^5 - 166807687937/1856199867*c_0101_2^4 + 246008091656/1856199867*c_0101_2^3 - 200951807696/1856199867*c_0101_2^2 + 100828914265/1856199867*c_0101_2 - 12457649818/618733289, c_0011_0 - 1, c_0011_3 + 57175030/618733289*c_0101_2^12 + 464505909/618733289*c_0101_2^11 + 342436646/618733289*c_0101_2^10 - 432719272/618733289*c_0101_2^9 + 2154052428/618733289*c_0101_2^8 - 3954476906/618733289*c_0101_2^7 - 5353195013/618733289*c_0101_2^6 + 7287965157/618733289*c_0101_2^5 + 2204614796/618733289*c_0101_2^4 - 2251791162/618733289*c_0101_2^3 + 684089412/618733289*c_0101_2^2 - 459449541/618733289*c_0101_2 - 96981477/618733289, c_0011_5 - 60260839/618733289*c_0101_2^12 - 322612359/618733289*c_0101_2^11 + 564255792/618733289*c_0101_2^10 - 906682800/618733289*c_0101_2^9 + 68320162/618733289*c_0101_2^8 + 3938004916/618733289*c_0101_2^7 - 3763353914/618733289*c_0101_2^6 - 1035597693/618733289*c_0101_2^5 + 3035109204/618733289*c_0101_2^4 - 2606734930/618733289*c_0101_2^3 + 320447903/618733289*c_0101_2^2 - 104277689/618733289*c_0101_2 + 282858586/618733289, c_0011_6 + 108628096/618733289*c_0101_2^12 + 699200105/618733289*c_0101_2^11 - 288063360/618733289*c_0101_2^10 + 999706236/618733289*c_0101_2^9 + 401084843/618733289*c_0101_2^8 - 5057191927/618733289*c_0101_2^7 - 2482591276/618733289*c_0101_2^6 + 4517159994/618733289*c_0101_2^5 + 4016194490/618733289*c_0101_2^4 - 1466542837/618733289*c_0101_2^3 - 485448140/618733289*c_0101_2^2 + 115729276/618733289*c_0101_2 - 358636393/618733289, c_0101_0 + 158506914/618733289*c_0101_2^12 + 734175221/618733289*c_0101_2^11 - 2069508645/618733289*c_0101_2^10 + 3457931664/618733289*c_0101_2^9 - 2741952478/618733289*c_0101_2^8 - 7669800813/618733289*c_0101_2^7 + 12849663064/618733289*c_0101_2^6 - 436136972/618733289*c_0101_2^5 - 6298293152/618733289*c_0101_2^4 + 2628599447/618733289*c_0101_2^3 - 1472976369/618733289*c_0101_2^2 + 709937896/618733289*c_0101_2 - 64611246/618733289, c_0101_1 - 335874703/618733289*c_0101_2^12 - 1739634354/618733289*c_0101_2^11 + 3372009374/618733289*c_0101_2^10 - 5817363565/618733289*c_0101_2^9 + 3123813636/618733289*c_0101_2^8 + 17197930015/618733289*c_0101_2^7 - 17557976076/618733289*c_0101_2^6 - 5442727429/618733289*c_0101_2^5 + 8704768694/618733289*c_0101_2^4 - 4018259559/618733289*c_0101_2^3 + 1759636209/618733289*c_0101_2^2 - 68442917/618733289*c_0101_2 - 104277689/618733289, c_0101_2^13 + 5*c_0101_2^12 - 11*c_0101_2^11 + 19*c_0101_2^10 - 12*c_0101_2^9 - 51*c_0101_2^8 + 64*c_0101_2^7 + 5*c_0101_2^6 - 29*c_0101_2^5 + 21*c_0101_2^4 - 13*c_0101_2^3 + 3*c_0101_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB