Magma V2.19-8 Tue Aug 20 2013 16:19:19 on localhost [Seed = 240096000] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3427 geometric_solution 6.59895154 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 2103 0132 0 0 0 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 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 0.337641021378 0.562279512062 0 2 4 4 0132 1302 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215079854501 1.307141278682 0 0 3 1 2103 0132 2031 2031 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 -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 0.215079854501 1.307141278682 5 6 0 2 0132 0132 0132 1302 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 -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 0.877438833123 0.744861766620 1 6 1 5 2310 0213 0132 0213 0 0 0 0 0 -1 0 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 1 0 -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 0.337641021378 0.562279512062 3 6 6 4 0132 3012 1230 0213 0 0 0 0 0 0 1 -1 -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 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 0.877438833123 0.744861766620 5 3 4 5 1230 0132 0213 3012 0 0 0 0 0 0 1 -1 0 0 1 -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 1 -1 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 0.877438833123 0.744861766620 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : 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_2_6' : 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' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_0101_0, c_0101_1, c_0101_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1849231/235902*c_1001_4^14 - 33364237/235902*c_1001_4^12 + 202883369/235902*c_1001_4^10 - 576496135/235902*c_1001_4^8 + 417824468/117951*c_1001_4^6 - 292558046/117951*c_1001_4^4 + 50240703/78634*c_1001_4^2 + 5515183/235902, c_0011_0 - 1, c_0011_3 - 40143/157268*c_1001_4^15 + 169090/39317*c_1001_4^13 - 3595755/157268*c_1001_4^11 + 4101043/78634*c_1001_4^9 - 2059935/39317*c_1001_4^7 + 670680/39317*c_1001_4^5 - 253175/157268*c_1001_4^3 + 106189/78634*c_1001_4, c_0011_4 + 10163/39317*c_1001_4^14 - 175423/39317*c_1001_4^12 + 978975/39317*c_1001_4^10 - 2417591/39317*c_1001_4^8 + 2754743/39317*c_1001_4^6 - 1154796/39317*c_1001_4^4 + 69489/39317*c_1001_4^2 - 42521/39317, c_0101_0 - 28489/157268*c_1001_4^15 + 126052/39317*c_1001_4^13 - 2947637/157268*c_1001_4^11 + 3899357/78634*c_1001_4^9 - 2476055/39317*c_1001_4^7 + 1305127/39317*c_1001_4^5 - 609317/157268*c_1001_4^3 + 34523/78634*c_1001_4, c_0101_1 + c_1001_4, c_0101_5 - 9693/78634*c_1001_4^14 + 80303/39317*c_1001_4^12 - 825797/78634*c_1001_4^10 + 896385/39317*c_1001_4^8 - 864232/39317*c_1001_4^6 + 339460/39317*c_1001_4^4 - 212835/78634*c_1001_4^2 - 654/39317, c_1001_4^16 - 18*c_1001_4^14 + 109*c_1001_4^12 - 308*c_1001_4^10 + 444*c_1001_4^8 - 312*c_1001_4^6 + 89*c_1001_4^4 - 8*c_1001_4^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB