Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 1713896122] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1791 geometric_solution 5.46570796 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 3201 1230 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.330671306199 0.120905586438 0 0 2 2 2310 0132 2310 0132 0 0 0 0 0 1 0 -1 -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 1 -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 0 0 0 1.922181509792 0.907623838466 3 1 1 4 0132 3201 0132 0132 0 0 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921964668462 0.444800241059 2 5 6 4 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0.505836534471 0.645833667201 6 3 2 5 2310 1302 0132 0132 0 0 0 0 0 0 1 -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 0 0 0 1 0 -1 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 0.505836534471 0.645833667201 5 3 4 5 3012 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0.505836534471 0.645833667201 6 6 4 3 1230 3012 3201 0132 0 0 0 0 0 -1 0 1 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 -1 1 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 0.248353956849 0.959674296743 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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' : 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' : negation(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' : negation(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_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_0']), '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/2, c_0011_0 - 1, c_0011_2 + 1, c_0011_4 + 1, c_0011_6 - 1, c_0101_0 - c_0101_5, c_0101_1 + 1, c_0101_5^2 - 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 2, c_0011_0 - 1, c_0011_2 + 1, c_0011_4 - 1/2, c_0011_6 - 1, c_0101_0 + 2*c_0101_5, c_0101_1 + 1, c_0101_5^2 - 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1850141/48625*c_0101_5^6 + 53655541/48625*c_0101_5^4 - 5922817373/778000*c_0101_5^2 + 303450063/194500, c_0011_0 - 1, c_0011_2 + 132/48625*c_0101_5^6 - 2932/48625*c_0101_5^4 + 2449/194500*c_0101_5^2 - 13044/48625, c_0011_4 - 1028/48625*c_0101_5^6 + 28728/48625*c_0101_5^4 - 749921/194500*c_0101_5^2 + 13176/48625, c_0011_6 - 132/48625*c_0101_5^6 + 2932/48625*c_0101_5^4 - 2449/194500*c_0101_5^2 + 13044/48625, c_0101_0 - 7102/48625*c_0101_5^7 + 204902/48625*c_0101_5^5 - 11179103/389000*c_0101_5^3 + 189034/48625*c_0101_5, c_0101_1 - 132/48625*c_0101_5^6 + 2932/48625*c_0101_5^4 - 2449/194500*c_0101_5^2 - 35581/48625, c_0101_5^8 - 29*c_0101_5^6 + 3201/16*c_0101_5^4 - 41*c_0101_5^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 53*c_0101_5^20 + 585*c_0101_5^18 - 3410*c_0101_5^16 + 13920*c_0101_5^14 - 39941*c_0101_5^12 + 75989*c_0101_5^10 - 91731*c_0101_5^8 + 67909*c_0101_5^6 - 29617*c_0101_5^4 + 7031*c_0101_5^2 - 718, c_0011_0 - 1, c_0011_2 - 30*c_0101_5^20 + 311*c_0101_5^18 - 1722*c_0101_5^16 + 6730*c_0101_5^14 - 18130*c_0101_5^12 + 31004*c_0101_5^10 - 31579*c_0101_5^8 + 18121*c_0101_5^6 - 5581*c_0101_5^4 + 838*c_0101_5^2 - 46, c_0011_4 + 98*c_0101_5^20 - 1022*c_0101_5^18 + 5686*c_0101_5^16 - 22311*c_0101_5^14 + 60465*c_0101_5^12 - 104479*c_0101_5^10 + 108186*c_0101_5^8 - 63538*c_0101_5^6 + 20029*c_0101_5^4 - 3043*c_0101_5^2 + 166, c_0011_6 + 68*c_0101_5^20 - 711*c_0101_5^18 + 3964*c_0101_5^16 - 15581*c_0101_5^14 + 42335*c_0101_5^12 - 73475*c_0101_5^10 + 76607*c_0101_5^8 - 45417*c_0101_5^6 + 14448*c_0101_5^4 - 2205*c_0101_5^2 + 120, c_0101_0 + c_0101_5^21 - 10*c_0101_5^19 + 54*c_0101_5^17 - 207*c_0101_5^15 + 541*c_0101_5^13 - 881*c_0101_5^11 + 840*c_0101_5^9 - 450*c_0101_5^7 + 133*c_0101_5^5 - 18*c_0101_5^3 + 2*c_0101_5, c_0101_1 + 4*c_0101_5^20 - 41*c_0101_5^18 + 225*c_0101_5^16 - 873*c_0101_5^14 + 2326*c_0101_5^12 - 3903*c_0101_5^10 + 3862*c_0101_5^8 - 2138*c_0101_5^6 + 644*c_0101_5^4 - 93*c_0101_5^2 + 4, c_0101_5^22 - 11*c_0101_5^20 + 64*c_0101_5^18 - 261*c_0101_5^16 + 748*c_0101_5^14 - 1422*c_0101_5^12 + 1721*c_0101_5^10 - 1290*c_0101_5^8 + 583*c_0101_5^6 - 151*c_0101_5^4 + 20*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB