Magma V2.19-8 Tue Aug 20 2013 16:16:43 on localhost [Seed = 492601814] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1010 geometric_solution 4.89376413 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0321 0132 0 0 0 0 0 -1 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 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 0.623235835591 1.207971269831 0 2 0 3 0132 3201 0321 2310 0 0 0 0 0 1 -1 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 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 0.623235835591 1.207971269831 4 0 1 4 0132 0132 2310 1023 0 0 0 0 0 1 -1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.004103819426 0.325816307462 1 5 0 5 3201 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.313669827509 0.441077481184 2 4 4 2 0132 3201 2310 1023 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.019370221576 1.009868167164 6 3 6 3 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.901041966738 0.292374315077 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603865614015 0.198103102666 ==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' : d['c_0101_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], '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' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0110_3']})} 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_0101_0, c_0101_4, c_0101_5, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - c_0101_5^2 + 5, c_0011_0 - 1, c_0011_3 + c_0101_5^2 + c_0101_5 - 1, c_0101_0 - c_0101_5, c_0101_4 + c_0101_5, c_0101_5^3 + 2*c_0101_5^2 - c_0101_5 - 1, c_0101_6 + 1, c_0110_3 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_4, c_0101_5, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - c_0101_5^2 + 5, c_0011_0 - 1, c_0011_3 - c_0101_5^2 + c_0101_5 + 1, c_0101_0 + c_0101_5, c_0101_4 + c_0101_5, c_0101_5^3 - 2*c_0101_5^2 - c_0101_5 + 1, c_0101_6 + 1, c_0110_3 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_4, c_0101_5, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 151/332*c_0110_3^8 + 514/83*c_0110_3^6 - 7981/332*c_0110_3^4 + 1759/83*c_0110_3^2 - 2089/166, c_0011_0 - 1, c_0011_3 + 47/664*c_0110_3^9 + 635/664*c_0110_3^7 - 2571/664*c_0110_3^5 + 2129/664*c_0110_3^3 - 108/83*c_0110_3, c_0101_0 - 13/332*c_0110_3^8 - 47/83*c_0110_3^6 + 531/332*c_0110_3^4 - 11/166*c_0110_3^2 + 5/83, c_0101_4 - 11/166*c_0110_3^9 - 299/332*c_0110_3^7 + 577/166*c_0110_3^5 - 1295/332*c_0110_3^3 + 483/166*c_0110_3, c_0101_5 + 11/166*c_0110_3^9 + 299/332*c_0110_3^7 - 577/166*c_0110_3^5 + 1295/332*c_0110_3^3 - 483/166*c_0110_3, c_0101_6 - 1, c_0110_3^10 + 13*c_0110_3^8 - 61*c_0110_3^6 + 83*c_0110_3^4 - 60*c_0110_3^2 + 16 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_4, c_0101_5, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 62056537/1625699*c_0110_3^14 - 832286569/1625699*c_0110_3^12 - 31942045/1625699*c_0110_3^10 + 18672117381/1625699*c_0110_3^8 - 30228198619/1625699*c_0110_3^6 + 16455967624/1625699*c_0110_3^4 - 2736851703/1625699*c_0110_3^2 + 106207961/1625699, c_0011_0 - 1, c_0011_3 - 632606/1625699*c_0110_3^15 - 8301582/1625699*c_0110_3^13 + 2203694/1625699*c_0110_3^11 + 191505620/1625699*c_0110_3^9 - 362818137/1625699*c_0110_3^7 + 233309835/1625699*c_0110_3^5 - 45128964/1625699*c_0110_3^3 - 1787861/1625699*c_0110_3, c_0101_0 - 175136/1625699*c_0110_3^14 - 2501668/1625699*c_0110_3^12 - 2242217/1625699*c_0110_3^10 + 51179930/1625699*c_0110_3^8 - 40226629/1625699*c_0110_3^6 + 2374056/1625699*c_0110_3^4 + 1154143/1625699*c_0110_3^2 + 1075342/1625699, c_0101_4 - 4529271/1625699*c_0110_3^15 - 59703338/1625699*c_0110_3^13 + 11758609/1625699*c_0110_3^11 + 1364887776/1625699*c_0110_3^9 - 2519465791/1625699*c_0110_3^7 + 1674406510/1625699*c_0110_3^5 - 427094827/1625699*c_0110_3^3 + 34031199/1625699*c_0110_3, c_0101_5 - 5161877/1625699*c_0110_3^15 - 68004920/1625699*c_0110_3^13 + 13962303/1625699*c_0110_3^11 + 1556393396/1625699*c_0110_3^9 - 2882283928/1625699*c_0110_3^7 + 1907716345/1625699*c_0110_3^5 - 472223791/1625699*c_0110_3^3 + 30617639/1625699*c_0110_3, c_0101_6 + 1265322/1625699*c_0110_3^14 + 16738923/1625699*c_0110_3^12 - 2507988/1625699*c_0110_3^10 - 381647855/1625699*c_0110_3^8 + 685495498/1625699*c_0110_3^6 - 430970589/1625699*c_0110_3^4 + 95411791/1625699*c_0110_3^2 - 4366796/1625699, c_0110_3^16 + 13*c_0110_3^14 - 5*c_0110_3^12 - 301*c_0110_3^10 + 611*c_0110_3^8 - 468*c_0110_3^6 + 157*c_0110_3^4 - 22*c_0110_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB