Magma V2.19-8 Tue Aug 20 2013 16:17:21 on localhost [Seed = 3204391542] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1588 geometric_solution 5.36090452 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 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 -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 0.752652675133 0.084824031197 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.612566503034 0.240114550551 3 1 4 1 0132 0132 0132 1023 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 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 0.918582771510 1.833589357184 2 4 6 5 0132 3201 0132 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020911915447 0.978247538570 5 6 3 2 1023 3201 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020911915447 0.978247538570 5 4 3 5 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.000400856907 1.044088810548 6 6 4 3 1302 2031 2310 0132 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 1 0 -1 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 0.478432789211 0.499726640690 ==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' : 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_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], '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_4'], '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_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 276981/3657167*c_0101_3^12 + 17675158/3657167*c_0101_3^11 + 228504179/3657167*c_0101_3^10 + 708469211/3657167*c_0101_3^9 + 443599398/3657167*c_0101_3^8 - 739299398/3657167*c_0101_3^7 - 419337987/3657167*c_0101_3^6 + 460614872/3657167*c_0101_3^5 - 118869865/3657167*c_0101_3^4 - 513005426/3657167*c_0101_3^3 - 69363601/3657167*c_0101_3^2 + 220446565/3657167*c_0101_3 - 9951188/3657167, c_0011_0 - 1, c_0011_4 + 552403/10971501*c_0011_6*c_0101_3^12 + 7371727/10971501*c_0011_6*c_0101_3^11 + 31495811/10971501*c_0011_6*c_0101_3^10 + 17342014/3657167*c_0011_6*c_0101_3^9 + 8112676/10971501*c_0011_6*c_0101_3^8 - 68213959/10971501*c_0011_6*c_0101_3^7 - 14427997/3657167*c_0011_6*c_0101_3^6 + 13008808/3657167*c_0011_6*c_0101_3^5 + 440068/3657167*c_0011_6*c_0101_3^4 - 53550886/10971501*c_0011_6*c_0101_3^3 - 6106780/10971501*c_0011_6*c_0101_3^2 + 19496417/10971501*c_0011_6*c_0101_3 + 2551188/3657167*c_0011_6, c_0011_6^2 - 391528/3657167*c_0101_3^12 - 13789021/10971501*c_0101_3^11 - 44086837/10971501*c_0101_3^10 - 32221982/10971501*c_0101_3^9 + 16619134/3657167*c_0101_3^8 + 52642223/10971501*c_0101_3^7 - 16982486/10971501*c_0101_3^6 - 2000331/3657167*c_0101_3^5 + 9036278/3657167*c_0101_3^4 + 5543513/3657167*c_0101_3^3 - 22781279/10971501*c_0101_3^2 - 14057477/10971501*c_0101_3 - 4508828/10971501, c_0101_0 + 977485/3657167*c_0101_3^12 + 32351524/10971501*c_0101_3^11 + 87495928/10971501*c_0101_3^10 + 21523289/10971501*c_0101_3^9 - 44380432/3657167*c_0101_3^8 - 23648876/10971501*c_0101_3^7 + 102657218/10971501*c_0101_3^6 - 8053318/3657167*c_0101_3^5 - 26958165/3657167*c_0101_3^4 + 10680824/3657167*c_0101_3^3 + 49498967/10971501*c_0101_3^2 - 21610009/10971501*c_0101_3 - 7315900/10971501, c_0101_1 - 3284840/10971501*c_0101_3^12 - 13117985/3657167*c_0101_3^11 - 132561782/10971501*c_0101_3^10 - 120531401/10971501*c_0101_3^9 + 105174634/10971501*c_0101_3^8 + 124332277/10971501*c_0101_3^7 - 98072462/10971501*c_0101_3^6 - 12040514/3657167*c_0101_3^5 + 40608860/3657167*c_0101_3^4 + 52380242/10971501*c_0101_3^3 - 17238448/3657167*c_0101_3^2 - 3818335/3657167*c_0101_3 + 19732819/10971501, c_0101_2 + 552403/10971501*c_0101_3^12 + 7371727/10971501*c_0101_3^11 + 31495811/10971501*c_0101_3^10 + 17342014/3657167*c_0101_3^9 + 8112676/10971501*c_0101_3^8 - 68213959/10971501*c_0101_3^7 - 14427997/3657167*c_0101_3^6 + 13008808/3657167*c_0101_3^5 + 440068/3657167*c_0101_3^4 - 53550886/10971501*c_0101_3^3 - 6106780/10971501*c_0101_3^2 + 30467918/10971501*c_0101_3 + 2551188/3657167, c_0101_3^13 + 11*c_0101_3^12 + 29*c_0101_3^11 + c_0101_3^10 - 61*c_0101_3^9 - 15*c_0101_3^8 + 49*c_0101_3^7 - 5*c_0101_3^6 - 36*c_0101_3^5 + 11*c_0101_3^4 + 25*c_0101_3^3 - 4*c_0101_3^2 - 6*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB