Magma V2.19-8 Tue Aug 20 2013 16:15:54 on localhost [Seed = 3381155312] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0130 geometric_solution 3.63938669 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.445935881693 0.064620888669 0 2 2 0 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 -0.893898541543 0.153740604735 1 1 3 3 2310 0132 0132 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330833851108 0.091407764004 4 2 5 2 0132 2310 0132 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 -1 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 0.487559377945 0.373951243300 3 6 5 5 0132 0132 3012 2310 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.004835681431 1.976109350689 4 4 6 3 3201 1230 3201 0132 0 0 0 0 0 1 -1 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 -1 0 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 0.004835681431 1.976109350689 5 4 6 6 2310 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 1 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 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 0.004835681431 1.976109350689 ==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' : negation(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' : negation(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' : negation(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_0101_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], '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_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : 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_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), '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_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 41607478785555/473993320192*c_0101_2*c_0101_3^10 + 316829435204839/236996660096*c_0101_2*c_0101_3^9 + 1267484629474039/473993320192*c_0101_2*c_0101_3^8 + 1617619210027425/118498330048*c_0101_2*c_0101_3^7 - 1731959388493347/236996660096*c_0101_2*c_0101_3^6 + 27332138041199/1004223136*c_0101_2*c_0101_3^5 + 166450924756373/236996660096*c_0101_2*c_0101_3^4 + 852754676327895/118498330048*c_0101_2*c_0101_3^3 - 11526432197249/16344597248*c_0101_2*c_0101_3^2 + 970008354854597/236996660096*c_0101_2*c_0101_3 + 84538788539215/473993320192*c_0101_2, c_0011_0 - 1, c_0011_3 - 146486/9120869*c_0101_3^10 - 17760597/72966952*c_0101_3^9 - 70989007/145933904*c_0101_3^8 - 98245177/36483476*c_0101_3^7 + 19640405/18241738*c_0101_3^6 - 2282799/309182*c_0101_3^5 + 127290999/72966952*c_0101_3^4 - 214252915/36483476*c_0101_3^3 + 4701953/18241738*c_0101_3^2 - 44679063/72966952*c_0101_3 + 52077041/145933904, c_0011_5 + 54852741/583735616*c_0101_2*c_0101_3^10 + 412895623/291867808*c_0101_2*c_0101_3^9 + 1525335097/583735616*c_0101_2*c_0101_3^8 + 2061165163/145933904*c_0101_2*c_0101_3^7 - 3015397469/291867808*c_0101_2*c_0101_3^6 + 18937773/618364*c_0101_2*c_0101_3^5 - 1193032077/291867808*c_0101_2*c_0101_3^4 + 1094954125/145933904*c_0101_2*c_0101_3^3 - 266219067/583735616*c_0101_2*c_0101_3^2 + 1314615233/291867808*c_0101_2*c_0101_3 - 234863951/583735616*c_0101_2, c_0101_0 + 38377719/583735616*c_0101_2*c_0101_3^10 + 133229589/145933904*c_0101_2*c_0101_3^9 + 378184065/583735616*c_0101_2*c_0101_3^8 + 1077375553/145933904*c_0101_2*c_0101_3^7 - 5693764043/291867808*c_0101_2*c_0101_3^6 + 64949935/2473456*c_0101_2*c_0101_3^5 - 7551812253/291867808*c_0101_2*c_0101_3^4 + 355267159/145933904*c_0101_2*c_0101_3^3 - 4517601713/583735616*c_0101_2*c_0101_3^2 + 307704591/72966952*c_0101_2*c_0101_3 - 2114593463/583735616*c_0101_2, c_0101_1 + 2246509/145933904*c_0101_3^10 + 35160247/145933904*c_0101_3^9 + 85370623/145933904*c_0101_3^8 + 104128055/36483476*c_0101_3^7 + 18287461/72966952*c_0101_3^6 + 8406257/1236728*c_0101_3^5 + 30779003/72966952*c_0101_3^4 + 186575669/36483476*c_0101_3^3 + 44518761/145933904*c_0101_3^2 + 22546243/145933904*c_0101_3 - 100577701/145933904, c_0101_2^2 + 2255319/291867808*c_0101_3^10 + 5798387/36483476*c_0101_3^9 + 253750467/291867808*c_0101_3^8 + 185639053/72966952*c_0101_3^7 + 862376345/145933904*c_0101_3^6 - 362753/1236728*c_0101_3^5 + 1718381749/145933904*c_0101_3^4 + 122708667/72966952*c_0101_3^3 + 741951623/291867808*c_0101_3^2 - 53920891/72966952*c_0101_3 - 21304093/291867808, c_0101_3^11 + 15*c_0101_3^10 + 27*c_0101_3^9 + 149*c_0101_3^8 - 118*c_0101_3^7 + 334*c_0101_3^6 - 66*c_0101_3^5 + 90*c_0101_3^4 - 27*c_0101_3^3 + 51*c_0101_3^2 - 9*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB