Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 3103335556] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0173 geometric_solution 3.96582612 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 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 3.366597377897 0.399735806114 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.542157830455 0.032074134552 0 3 3 0 3201 0132 3201 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 0 -1 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 -0.761512908428 0.479939937365 2 2 4 4 2310 0132 0132 3201 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 -1 0 1 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 0.194685092001 0.307611969460 5 3 6 3 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.448490658324 0.901019866807 4 6 6 6 0132 0213 2310 1230 0 0 0 0 0 0 0 0 1 0 -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 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 0.471805551646 0.852924400868 5 5 5 4 3012 3201 0213 0132 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 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 0.471805551646 0.852924400868 ==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_4']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(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_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 5*c_0101_1^2 + 13*c_0101_1 + 4, c_0011_0 - 1, c_0011_2 - c_0101_1^2 - c_0101_1 + 1, c_0011_4 + c_0101_1, c_0011_6 + c_0101_1^2 + c_0101_1 - 1, c_0101_0 - c_0101_1^2 - c_0101_1 + 1, c_0101_1^3 + 2*c_0101_1^2 - c_0101_1 - 1, c_0101_3 + 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_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 16759038826/474650939*c_0101_3^11 - 73689054798/474650939*c_0101_3^10 + 391204279048/474650939*c_0101_3^9 + 61387393235/67807277*c_0101_3^8 - 2696917497062/474650939*c_0101_3^7 + 1429627504819/474650939*c_0101_3^6 + 2981886842863/474650939*c_0101_3^5 - 313597076380/67807277*c_0101_3^4 - 1473976159634/474650939*c_0101_3^3 + 1122280971055/474650939*c_0101_3^2 + 182265563374/474650939*c_0101_3 - 101496037586/474650939, c_0011_0 - 1, c_0011_2 - 29610066/67807277*c_0101_3^11 - 136933978/67807277*c_0101_3^10 + 652723952/67807277*c_0101_3^9 + 875339847/67807277*c_0101_3^8 - 4395163819/67807277*c_0101_3^7 + 1740383634/67807277*c_0101_3^6 + 4529510012/67807277*c_0101_3^5 - 2412838054/67807277*c_0101_3^4 - 2048022053/67807277*c_0101_3^3 + 947842532/67807277*c_0101_3^2 + 127138025/67807277*c_0101_3 + 11412805/67807277, c_0011_4 - 13082281/67807277*c_0101_3^11 - 65159169/67807277*c_0101_3^10 + 263250605/67807277*c_0101_3^9 + 471390882/67807277*c_0101_3^8 - 1732678254/67807277*c_0101_3^7 + 211954137/67807277*c_0101_3^6 + 1805672476/67807277*c_0101_3^5 - 352207086/67807277*c_0101_3^4 - 814586483/67807277*c_0101_3^3 + 112777397/67807277*c_0101_3^2 + 50447701/67807277*c_0101_3 + 22704315/67807277, c_0011_6 - 16344365/67807277*c_0101_3^11 - 76063313/67807277*c_0101_3^10 + 353539626/67807277*c_0101_3^9 + 464614232/67807277*c_0101_3^8 - 2360584916/67807277*c_0101_3^7 + 1132206003/67807277*c_0101_3^6 + 2247961909/67807277*c_0101_3^5 - 1643999301/67807277*c_0101_3^4 - 971311836/67807277*c_0101_3^3 + 821101785/67807277*c_0101_3^2 + 14529636/67807277*c_0101_3 - 40743797/67807277, c_0101_0 - 4438238/67807277*c_0101_3^11 - 19008179/67807277*c_0101_3^10 + 98018312/67807277*c_0101_3^9 + 56876142/67807277*c_0101_3^8 - 608990907/67807277*c_0101_3^7 + 810021021/67807277*c_0101_3^6 - 9379461/67807277*c_0101_3^5 - 955191397/67807277*c_0101_3^4 + 545343419/67807277*c_0101_3^3 + 459602283/67807277*c_0101_3^2 - 345891867/67807277*c_0101_3 - 26882055/67807277, c_0101_1 + 15729748/67807277*c_0101_3^11 + 80702004/67807277*c_0101_3^10 - 308531253/67807277*c_0101_3^9 - 627013649/67807277*c_0101_3^8 + 2113307132/67807277*c_0101_3^7 + 147446534/67807277*c_0101_3^6 - 2986946336/67807277*c_0101_3^5 + 388032271/67807277*c_0101_3^4 + 1797575299/67807277*c_0101_3^3 - 231111103/67807277*c_0101_3^2 - 285926088/67807277*c_0101_3 + 6649281/67807277, c_0101_3^12 + 4*c_0101_3^11 - 25*c_0101_3^10 - 16*c_0101_3^9 + 169*c_0101_3^8 - 151*c_0101_3^7 - 130*c_0101_3^6 + 191*c_0101_3^5 + 25*c_0101_3^4 - 89*c_0101_3^3 + 18*c_0101_3^2 + 5*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB