Magma V2.19-8 Tue Aug 20 2013 16:17:09 on localhost [Seed = 3482211099] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1399 geometric_solution 5.24534071 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016652463820 1.071618475981 0 3 4 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -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 0.938173735493 0.969971840500 1 4 3 0 3012 0132 3201 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938173735493 0.969971840500 2 1 3 3 2310 0132 2031 1302 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 0 0 0 0 0 0 0 0.513376105074 0.468965952484 5 2 5 1 0132 0132 1023 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 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 1.551787138520 0.565024161047 4 6 4 6 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0.708029826104 0.336930286951 6 5 6 5 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0.604143637581 0.104250396621 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_0']})} 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_0101_1, c_0101_2, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 14815189/3141671*c_0110_6^17 + 100466816/3141671*c_0110_6^15 - 751934609/3141671*c_0110_6^13 + 2701259791/3141671*c_0110_6^11 - 5305583229/3141671*c_0110_6^9 + 6277709196/3141671*c_0110_6^7 - 4280302058/3141671*c_0110_6^5 + 1527810137/3141671*c_0110_6^3 - 276308415/3141671*c_0110_6, c_0011_0 - 1, c_0011_2 + 1160709/3141671*c_0110_6^16 - 6956697/3141671*c_0110_6^14 + 53442323/3141671*c_0110_6^12 - 169524163/3141671*c_0110_6^10 + 282346280/3141671*c_0110_6^8 - 268311790/3141671*c_0110_6^6 + 121278705/3141671*c_0110_6^4 - 23415291/3141671*c_0110_6^2 + 3451372/3141671, c_0101_1 - 1602556/3141671*c_0110_6^17 + 10030068/3141671*c_0110_6^15 - 75887235/3141671*c_0110_6^13 + 251255786/3141671*c_0110_6^11 - 432828709/3141671*c_0110_6^9 + 420925977/3141671*c_0110_6^7 - 187923525/3141671*c_0110_6^5 + 12968425/3141671*c_0110_6^3 + 5361515/3141671*c_0110_6, c_0101_2 + 963596/3141671*c_0110_6^17 - 7484540/3141671*c_0110_6^15 + 54488724/3141671*c_0110_6^13 - 218702888/3141671*c_0110_6^11 + 478440099/3141671*c_0110_6^9 - 620727889/3141671*c_0110_6^7 + 466491472/3141671*c_0110_6^5 - 166287083/3141671*c_0110_6^3 + 16027835/3141671*c_0110_6, c_0101_3 - 1327067/3141671*c_0110_6^16 + 8557658/3141671*c_0110_6^14 - 64583600/3141671*c_0110_6^12 + 220994050/3141671*c_0110_6^10 - 405370422/3141671*c_0110_6^8 + 440404765/3141671*c_0110_6^6 - 255259817/3141671*c_0110_6^4 + 65218469/3141671*c_0110_6^2 - 5734411/3141671, c_0101_4 - 24972/241667*c_0110_6^16 + 138257/241667*c_0110_6^14 - 1095399/241667*c_0110_6^12 + 3202548/241667*c_0110_6^10 - 5028271/241667*c_0110_6^8 + 4875930/241667*c_0110_6^6 - 2695521/241667*c_0110_6^4 + 1385025/241667*c_0110_6^2 - 219908/241667, c_0110_6^18 - 7*c_0110_6^16 + 52*c_0110_6^14 - 192*c_0110_6^12 + 387*c_0110_6^10 - 467*c_0110_6^8 + 322*c_0110_6^6 - 109*c_0110_6^4 + 15*c_0110_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB