Magma V2.19-8 Tue Aug 20 2013 16:17:54 on localhost [Seed = 3414841099] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2140 geometric_solution 5.62412748 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 1 0 -1 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 0.677530875836 1.246245426890 0 4 6 5 0132 0321 0132 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 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 0.633289002809 0.112699537273 4 0 2 2 1302 0132 1230 3012 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 -1 0 1 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 0.257053068998 0.470724940482 5 6 6 0 0132 3012 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281171421374 0.500547889895 5 2 0 1 1302 2031 0132 0321 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 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 0.653328280482 1.039686326051 3 4 1 6 0132 2031 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519788998087 0.518731217072 3 3 5 1 1230 0213 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469414877006 0.272381542003 ==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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1001_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_0011_4, c_0011_6, c_0101_0, c_0110_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 282420/65747*c_1001_1^11 + 1495251/65747*c_1001_1^10 - 58726/5977*c_1001_1^9 - 603819/5977*c_1001_1^8 + 7474263/65747*c_1001_1^7 + 4589382/65747*c_1001_1^6 - 5040029/65747*c_1001_1^5 - 3605967/65747*c_1001_1^4 + 2846430/65747*c_1001_1^3 + 2292637/65747*c_1001_1^2 - 3876742/65747*c_1001_1 + 413521/65747, c_0011_0 - 1, c_0011_3 + 50263/65747*c_1001_1^11 - 251089/65747*c_1001_1^10 + 6051/5977*c_1001_1^9 + 99515/5977*c_1001_1^8 - 1082528/65747*c_1001_1^7 - 584577/65747*c_1001_1^6 + 669896/65747*c_1001_1^5 + 300987/65747*c_1001_1^4 - 446643/65747*c_1001_1^3 - 355788/65747*c_1001_1^2 + 629296/65747*c_1001_1 - 181407/65747, c_0011_4 - 25395/65747*c_1001_1^11 + 147243/65747*c_1001_1^10 - 11083/5977*c_1001_1^9 - 52755/5977*c_1001_1^8 + 950206/65747*c_1001_1^7 + 140488/65747*c_1001_1^6 - 618314/65747*c_1001_1^5 - 159407/65747*c_1001_1^4 + 383483/65747*c_1001_1^3 + 133327/65747*c_1001_1^2 - 506564/65747*c_1001_1 + 186532/65747, c_0011_6 - 67794/65747*c_1001_1^11 + 316402/65747*c_1001_1^10 + 1814/5977*c_1001_1^9 - 135817/5977*c_1001_1^8 + 944712/65747*c_1001_1^7 + 1254749/65747*c_1001_1^6 - 478059/65747*c_1001_1^5 - 813795/65747*c_1001_1^4 + 292817/65747*c_1001_1^3 + 723823/65747*c_1001_1^2 - 568196/65747*c_1001_1 - 10212/65747, c_0101_0 + 5125/65747*c_1001_1^11 - 55618/65747*c_1001_1^10 + 12236/5977*c_1001_1^9 + 15282/5977*c_1001_1^8 - 734735/65747*c_1001_1^7 + 142572/65747*c_1001_1^6 + 592714/65747*c_1001_1^5 - 46457/65747*c_1001_1^4 - 233830/65747*c_1001_1^3 + 47785/65747*c_1001_1^2 + 330086/65747*c_1001_1 - 184232/65747, c_0110_2 + 45136/65747*c_1001_1^11 - 220632/65747*c_1001_1^10 + 4086/5977*c_1001_1^9 + 86626/5977*c_1001_1^8 - 891250/65747*c_1001_1^7 - 466436/65747*c_1001_1^6 + 535884/65747*c_1001_1^5 + 227360/65747*c_1001_1^4 - 389501/65747*c_1001_1^3 - 329057/65747*c_1001_1^2 + 511088/65747*c_1001_1 - 156012/65747, c_1001_1^12 - 6*c_1001_1^11 + 6*c_1001_1^10 + 22*c_1001_1^9 - 43*c_1001_1^8 + 2*c_1001_1^7 + 29*c_1001_1^6 + c_1001_1^5 - 18*c_1001_1^4 - 3*c_1001_1^3 + 21*c_1001_1^2 - 12*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB