Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 2648441167] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1307 geometric_solution 5.19279839 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 -1 0 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 1 0 -1 1 0 -1 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 -0.226684037633 0.677713761607 0 4 3 5 0132 0132 1230 0132 0 0 0 0 0 0 0 0 1 0 -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 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 0.879786236505 2.505216722012 3 0 0 4 1023 0132 1023 0213 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 1 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 -0.226684037633 0.677713761607 4 2 0 1 0132 1023 0132 3012 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 0 1 -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 0.499084448217 0.600388062179 3 1 5 2 0132 0132 1302 0213 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 0.875210009361 0.355343103038 4 6 1 6 2031 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273597873439 0.515834970512 5 5 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401233502585 0.107576533987 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(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_0110_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_6']), '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_5, c_0101_0, c_0101_1, c_0101_6, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 516845/106496*c_0110_6^16 + 8613387/53248*c_0110_6^14 - 7742589/4096*c_0110_6^12 + 490758943/53248*c_0110_6^10 - 430510675/26624*c_0110_6^8 + 722891473/53248*c_0110_6^6 - 291009375/53248*c_0110_6^4 + 49112709/53248*c_0110_6^2 - 1000279/106496, c_0011_0 - 1, c_0011_5 - 7/16384*c_0110_6^17 + 15/1024*c_0110_6^15 - 739/4096*c_0110_6^13 + 63/64*c_0110_6^11 - 19433/8192*c_0110_6^9 + 3591/1024*c_0110_6^7 - 16135/4096*c_0110_6^5 + 2049/512*c_0110_6^3 - 49151/16384*c_0110_6, c_0101_0 - 7/1024*c_0110_6^17 + 953/4096*c_0110_6^15 - 11577/4096*c_0110_6^13 + 61309/4096*c_0110_6^11 - 136133/4096*c_0110_6^9 + 171627/4096*c_0110_6^7 - 142507/4096*c_0110_6^5 + 82079/4096*c_0110_6^3 - 20475/4096*c_0110_6, c_0101_1 + 5285/4096*c_0110_6^17 - 44047/1024*c_0110_6^15 + 514887/1024*c_0110_6^13 - 2511725/1024*c_0110_6^11 + 8818627/2048*c_0110_6^9 - 3681753/1024*c_0110_6^7 + 1454531/1024*c_0110_6^5 - 230379/1024*c_0110_6^3 - 3411/4096*c_0110_6, c_0101_6 - 287/4096*c_0110_6^16 + 9651/4096*c_0110_6^14 - 114527/4096*c_0110_6^12 + 575103/4096*c_0110_6^10 - 1083201/4096*c_0110_6^8 + 930329/4096*c_0110_6^6 - 352405/4096*c_0110_6^4 + 40437/4096*c_0110_6^2 + 293/1024, c_0110_6^18 - 233/7*c_0110_6^16 + 388*c_0110_6^14 - 13172/7*c_0110_6^12 + 22738/7*c_0110_6^10 - 18590/7*c_0110_6^8 + 1012*c_0110_6^6 - 1028/7*c_0110_6^4 - 33/7*c_0110_6^2 - 1/7, c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB