Magma V2.19-8 Tue Aug 20 2013 17:54:02 on localhost [Seed = 829458002] Type ? for help. Type -D to quit. Loading file "8_2__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_2 geometric_solution 4.93524268 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 1 -1 0 -1 0 1 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 11 -12 1 -11 0 11 0 -11 11 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874024780493 0.439440404752 2 3 4 0 1302 0132 0132 0132 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 0 -12 0 12 0 0 11 -11 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978630942960 0.461693912407 3 1 0 4 2310 2031 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.686705000091 0.139139674778 5 1 2 5 0132 0132 3201 2031 0 0 0 0 0 1 0 -1 -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 12 0 -12 -11 0 -1 12 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753892231883 0.748555527988 5 2 5 1 3012 0321 3120 0132 0 0 0 0 0 0 0 0 0 0 1 -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 -1 1 0 0 0 11 -11 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396369816927 1.205588998097 3 3 4 4 0132 1302 3120 1230 0 0 0 0 0 -1 1 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 -12 12 0 11 0 -11 0 0 12 0 -12 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332063735132 0.663208031951 ==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' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0011_1'], 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0101_0, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 4282916/1086869*c_0101_5^7 + 32456341/1086869*c_0101_5^6 + 78237923/1086869*c_0101_5^5 + 71345625/1086869*c_0101_5^4 + 95387056/1086869*c_0101_5^3 + 74815904/1086869*c_0101_5^2 + 14672110/1086869*c_0101_5 + 10518180/1086869, c_0011_0 - 1, c_0011_1 - 944/3787*c_0101_5^7 - 7020/3787*c_0101_5^6 - 16344/3787*c_0101_5^5 - 13677/3787*c_0101_5^4 - 17995/3787*c_0101_5^3 - 9728/3787*c_0101_5^2 - 919/3787*c_0101_5 - 104/3787, c_0011_2 + 26/3787*c_0101_5^7 + 418/3787*c_0101_5^6 + 2119/3787*c_0101_5^5 + 4268/3787*c_0101_5^4 + 4756/3787*c_0101_5^3 + 7521/3787*c_0101_5^2 + 2328/3787*c_0101_5 - 639/3787, c_0011_4 + 190/541*c_0101_5^7 + 1390/541*c_0101_5^6 + 3042/541*c_0101_5^5 + 1892/541*c_0101_5^4 + 2878/541*c_0101_5^3 + 2609/541*c_0101_5^2 - 591/541*c_0101_5 + 241/541, c_0101_0 + 411/3787*c_0101_5^7 + 2238/3787*c_0101_5^6 + 1307/3787*c_0101_5^5 - 5651/3787*c_0101_5^4 + 3811/3787*c_0101_5^3 - 2440/3787*c_0101_5^2 - 1361/3787*c_0101_5 + 3736/3787, c_0101_5^8 + 7*c_0101_5^7 + 14*c_0101_5^6 + 7*c_0101_5^5 + 15*c_0101_5^4 + 7*c_0101_5^3 - 4*c_0101_5^2 + 3*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB