Magma V2.19-8 Tue Aug 20 2013 16:18:31 on localhost [Seed = 1259001462] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2701 geometric_solution 5.95321512 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 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 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 0.477874432832 0.353317532010 3 0 4 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.647004102799 1.000340546335 1 4 0 5 3012 1023 0132 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 -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 0.647004102799 1.000340546335 1 4 5 6 0132 1230 3201 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 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 0.468421390138 0.617744156548 2 5 3 1 1023 0321 3012 0132 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 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 -0.402211678134 0.610192663450 3 6 2 4 2310 1023 0132 0321 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 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 0.468421390138 0.617744156548 5 6 3 6 1023 2310 0132 3201 0 0 0 0 0 -1 1 0 -1 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.779369022139 1.027815273507 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_4']})} 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_2, c_0011_5, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 365116889/27183584*c_0101_5^14 - 5117088793/27183584*c_0101_5^12 - 20371092785/27183584*c_0101_5^10 - 6401696521/6795896*c_0101_5^8 - 1979845911/1698974*c_0101_5^6 - 52200639/43012*c_0101_5^4 - 2763415195/6795896*c_0101_5^2 - 22714555503/27183584, c_0011_0 - 1, c_0011_2 + c_0101_5, c_0011_5 - 353743/6795896*c_0101_5^15 + 5038051/6795896*c_0101_5^13 + 18616959/6795896*c_0101_5^11 + 2532585/849487*c_0101_5^9 + 5995183/1698974*c_0101_5^7 + 86491/21506*c_0101_5^5 + 467446/849487*c_0101_5^3 + 14858445/6795896*c_0101_5, c_0101_1 - 422137/13591792*c_0101_5^14 + 5729359/13591792*c_0101_5^12 + 26589041/13591792*c_0101_5^10 + 16967075/6795896*c_0101_5^8 + 15051569/6795896*c_0101_5^6 + 218107/86024*c_0101_5^4 + 1802235/6795896*c_0101_5^2 + 15344385/13591792, c_0101_2 - 584293/13591792*c_0101_5^15 + 8210199/13591792*c_0101_5^13 + 32136213/13591792*c_0101_5^11 + 21242849/6795896*c_0101_5^9 + 25811387/6795896*c_0101_5^7 + 362069/86024*c_0101_5^5 + 14293693/6795896*c_0101_5^3 + 25241921/13591792*c_0101_5, c_0101_4 + 285349/13591792*c_0101_5^14 - 4346743/13591792*c_0101_5^12 - 10644877/13591792*c_0101_5^10 - 3293605/6795896*c_0101_5^8 - 8929163/6795896*c_0101_5^6 - 127857/86024*c_0101_5^4 - 1937333/6795896*c_0101_5^2 - 14372505/13591792, c_0101_5^16 - 14*c_0101_5^14 - 56*c_0101_5^12 - 71*c_0101_5^10 - 88*c_0101_5^8 - 92*c_0101_5^6 - 32*c_0101_5^4 - 63*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB