Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 1629551948] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s204 geometric_solution 4.32705117 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 1 0 1 2310 0132 3201 2310 0 0 0 0 0 -1 1 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 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 -1.329488058199 0.511676095019 0 0 3 2 3201 0132 0132 0132 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 -1 0 1 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 0.365621447101 0.330365933255 3 4 1 3 1230 0132 0132 1302 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 1 -1 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 0.579387619221 0.840498103588 4 2 2 1 0132 3012 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.579387619221 0.840498103588 3 2 5 5 0132 0132 3201 0132 0 0 0 0 0 1 0 -1 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 -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 0 0 -0.678604618332 0.906110895393 4 5 4 5 2310 2310 0132 3201 0 0 0 0 0 0 1 -1 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 -1 1 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 -0.420612380779 0.840498103588 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_2, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 215/64*c_0101_3^11 + 713/32*c_0101_3^10 - 1447/32*c_0101_3^9 - 203/64*c_0101_3^8 + 8409/64*c_0101_3^7 - 10755/64*c_0101_3^6 + 233/16*c_0101_3^5 + 7719/64*c_0101_3^4 - 1405/64*c_0101_3^3 - 699/16*c_0101_3^2 - 737/16*c_0101_3 + 609/64, c_0011_0 - 1, c_0011_2 + 12/1607*c_0101_3^11 - 579/1607*c_0101_3^10 + 2783/1607*c_0101_3^9 - 3574/1607*c_0101_3^8 - 3259/1607*c_0101_3^7 + 12620/1607*c_0101_3^6 - 11456/1607*c_0101_3^5 - 1757/1607*c_0101_3^4 + 5432/1607*c_0101_3^3 + 2721/1607*c_0101_3^2 + 1550/1607*c_0101_3 - 497/1607, c_0011_5 - 6/1607*c_0101_3^11 + 1093/1607*c_0101_3^10 - 5409/1607*c_0101_3^9 + 6608/1607*c_0101_3^8 + 7254/1607*c_0101_3^7 - 23987/1607*c_0101_3^6 + 18584/1607*c_0101_3^5 + 6503/1607*c_0101_3^4 - 9144/1607*c_0101_3^3 - 8592/1607*c_0101_3^2 - 2382/1607*c_0101_3 + 1052/1607, c_0101_0 + 941/1607*c_0101_3^11 - 5630/1607*c_0101_3^10 + 10261/1607*c_0101_3^9 + 696/1607*c_0101_3^8 - 25625/1607*c_0101_3^7 + 33989/1607*c_0101_3^6 - 10206/1607*c_0101_3^5 - 7745/1607*c_0101_3^4 - 7395/1607*c_0101_3^3 + 5667/1607*c_0101_3^2 + 3967/1607*c_0101_3 - 539/1607, c_0101_2 + 16/1607*c_0101_3^11 + 835/1607*c_0101_3^10 - 4860/1607*c_0101_3^9 + 7555/1607*c_0101_3^8 + 3154/1607*c_0101_3^7 - 20670/1607*c_0101_3^6 + 22222/1607*c_0101_3^5 - 3414/1607*c_0101_3^4 - 2935/1607*c_0101_3^3 - 9228/1607*c_0101_3^2 - 1683/1607*c_0101_3 + 1480/1607, c_0101_3^12 - 7*c_0101_3^11 + 16*c_0101_3^10 - 5*c_0101_3^9 - 36*c_0101_3^8 + 60*c_0101_3^7 - 25*c_0101_3^6 - 21*c_0101_3^5 + 4*c_0101_3^4 + 17*c_0101_3^3 + 8*c_0101_3^2 - 3*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB