Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 1730607700] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2721 geometric_solution 5.97062617 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.103785075631 1.094627224669 0 5 2 6 0132 0132 0321 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 1 -1 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 2.026068572516 1.285211825977 6 0 1 5 3012 0132 0321 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.566785416823 0.766555172857 3 4 3 0 2031 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158744958934 0.694103846027 6 5 0 3 1230 1230 0132 3201 0 0 0 0 0 -1 1 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 -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 0.283941986329 1.935786827085 6 1 4 2 0321 0132 3012 2103 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 -1 0 1 -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 -0.015775719788 0.777761867189 5 4 1 2 0321 3012 0132 1230 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 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 0.762046906630 0.358759561191 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_2'], 'c_1100_5' : negation(d['c_0110_2']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_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' : d['c_0011_0'], '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_4']), 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : 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_0101_1, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 47553386041/641766560*c_0110_2^17 + 660214130749/4492365920*c_0110_2^15 + 15698022331/898473184*c_0110_2^13 - 91012474603/2246182960*c_0110_2^11 - 22894817951/4492365920*c_0110_2^9 + 163700450317/2246182960*c_0110_2^7 + 50028070739/898473184*c_0110_2^5 + 35894841021/4492365920*c_0110_2^3 - 2744885363/2246182960*c_0110_2, c_0011_0 - 1, c_0011_3 + 1728627831/80220820*c_0110_2^16 - 2918506167/80220820*c_0110_2^14 - 131455719/16044164*c_0110_2^12 - 227218813/20055205*c_0110_2^10 + 694468233/80220820*c_0110_2^8 - 626761691/40110410*c_0110_2^6 - 374930119/16044164*c_0110_2^4 - 1282621643/80220820*c_0110_2^2 - 220823741/40110410, c_0011_4 - 7625911013/80220820*c_0110_2^17 + 12338665861/80220820*c_0110_2^15 + 913045609/16044164*c_0110_2^13 + 704250024/20055205*c_0110_2^11 - 3327132539/80220820*c_0110_2^9 + 3089091493/40110410*c_0110_2^7 + 1686269761/16044164*c_0110_2^5 + 5820868729/80220820*c_0110_2^3 + 744625833/40110410*c_0110_2, c_0011_6 - 386505581/40110410*c_0110_2^16 + 1545383709/80220820*c_0110_2^14 - 4767685/4011041*c_0110_2^12 + 249575039/80220820*c_0110_2^10 - 441898581/80220820*c_0110_2^8 + 218017921/20055205*c_0110_2^6 + 24872919/4011041*c_0110_2^4 + 311997081/80220820*c_0110_2^2 + 10005217/40110410, c_0101_0 - 5655309471/80220820*c_0110_2^17 + 2385480553/20055205*c_0110_2^15 + 469112877/16044164*c_0110_2^13 + 2669680517/80220820*c_0110_2^11 - 1329419259/40110410*c_0110_2^9 + 2414815071/40110410*c_0110_2^7 + 1167600797/16044164*c_0110_2^5 + 1051629082/20055205*c_0110_2^3 + 273776988/20055205*c_0110_2, c_0101_1 + 343545811/80220820*c_0110_2^16 - 76550731/40110410*c_0110_2^14 - 195747689/16044164*c_0110_2^12 - 145481367/80220820*c_0110_2^10 + 15407347/20055205*c_0110_2^8 - 90791941/40110410*c_0110_2^6 - 135596001/16044164*c_0110_2^4 - 285524439/40110410*c_0110_2^2 - 60271563/20055205, c_0110_2^18 - 61/49*c_0110_2^16 - 59/49*c_0110_2^14 - 4/7*c_0110_2^12 + 13/49*c_0110_2^10 - 32/49*c_0110_2^8 - 69/49*c_0110_2^6 - 57/49*c_0110_2^4 - 24/49*c_0110_2^2 - 4/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB