Magma V2.19-8 Tue Aug 20 2013 16:17:55 on localhost [Seed = 71669956] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2147 geometric_solution 5.63005948 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 1023 1230 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.108413458337 0.443917610461 2 0 0 3 0132 0132 1023 0132 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 0 0 0 0 0 0 1 0 -1 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 -0.032511640395 1.015127506301 1 3 4 5 0132 2310 0132 0132 0 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 -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 0.196731826074 0.581477658196 6 5 1 2 0132 1023 0132 3201 0 0 0 0 0 0 1 -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 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 0.196731826074 0.581477658196 5 6 6 2 3201 3201 2310 0132 0 0 0 0 0 0 -1 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 -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 0.796878783962 0.705421011800 3 6 2 4 1023 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 1.296437894614 0.622814287737 3 4 4 5 0132 3201 2310 3201 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 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 0.796878783962 0.705421011800 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], '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' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : 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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 253667/369473*c_0101_6^5 + 645032/369473*c_0101_6^4 + 7966560/369473*c_0101_6^3 + 2636672/369473*c_0101_6^2 + 2069913/369473*c_0101_6 + 7039390/369473, c_0011_0 - 1, c_0011_3 - 270/28421*c_0101_6^5 - 565/28421*c_0101_6^4 - 7896/28421*c_0101_6^3 - 2539/28421*c_0101_6^2 - 2033/28421*c_0101_6 + 9487/28421, c_0101_0 + 1271/28421*c_0101_6^5 + 3186/28421*c_0101_6^4 + 39696/28421*c_0101_6^3 + 13110/28421*c_0101_6^2 + 10307/28421*c_0101_6 + 31867/28421, c_0101_1 - 1001/28421*c_0101_6^5 - 2621/28421*c_0101_6^4 - 31800/28421*c_0101_6^3 - 10571/28421*c_0101_6^2 - 8274/28421*c_0101_6 - 12933/28421, c_0101_2 + 1001/28421*c_0101_6^5 + 2621/28421*c_0101_6^4 + 31800/28421*c_0101_6^3 + 10571/28421*c_0101_6^2 + 8274/28421*c_0101_6 + 12933/28421, c_0101_4 + 1001/28421*c_0101_6^5 + 2621/28421*c_0101_6^4 + 31800/28421*c_0101_6^3 + 10571/28421*c_0101_6^2 + 36695/28421*c_0101_6 + 12933/28421, c_0101_6^6 + 2*c_0101_6^5 + 31*c_0101_6^4 - 5*c_0101_6^3 + 32*c_0101_6^2 + 9*c_0101_6 + 13 ], 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_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 3231/35*c_0101_6^11 - 381/7*c_0101_6^10 + 278/5*c_0101_6^9 - 32957/35*c_0101_6^8 + 33297/35*c_0101_6^7 - 171886/35*c_0101_6^6 + 70268/35*c_0101_6^5 - 412151/70*c_0101_6^4 + 5646/5*c_0101_6^3 - 26489/10*c_0101_6^2 + 5963/35*c_0101_6 - 27677/70, c_0011_0 - 1, c_0011_3 - 38*c_0101_6^11 - 76*c_0101_6^10 - 218*c_0101_6^9 - 170*c_0101_6^8 - 816*c_0101_6^7 - 68*c_0101_6^6 - 960*c_0101_6^5 + c_0101_6^4 - 439*c_0101_6^3 - c_0101_6^2 - 66*c_0101_6 - 1, c_0101_0 - 2*c_0101_6^10 - 4*c_0101_6^9 - 12*c_0101_6^8 - 10*c_0101_6^7 - 46*c_0101_6^6 - 6*c_0101_6^5 - 62*c_0101_6^4 - c_0101_6^3 - 37*c_0101_6^2 - 8, c_0101_1 - 12*c_0101_6^10 - 24*c_0101_6^9 - 70*c_0101_6^8 - 56*c_0101_6^7 - 264*c_0101_6^6 - 26*c_0101_6^5 - 326*c_0101_6^4 - 160*c_0101_6^2 + c_0101_6 - 26, c_0101_2 - 2*c_0101_6^11 + 22*c_0101_6^10 + 40*c_0101_6^9 + 138*c_0101_6^8 + 68*c_0101_6^7 + 546*c_0101_6^6 - 20*c_0101_6^5 + 633*c_0101_6^4 - 38*c_0101_6^3 + 279*c_0101_6^2 - 8*c_0101_6 + 40, c_0101_4 - c_0101_6, c_0101_6^12 + 2*c_0101_6^11 + 6*c_0101_6^10 + 5*c_0101_6^9 + 23*c_0101_6^8 + 3*c_0101_6^7 + 31*c_0101_6^6 + 1/2*c_0101_6^5 + 37/2*c_0101_6^4 + 5*c_0101_6^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB