Magma V2.19-8 Tue Aug 20 2013 16:18:36 on localhost [Seed = 3633923565] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2781 geometric_solution 6.01713398 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 1 0132 1230 0132 2031 0 0 1 0 0 -1 0 1 1 0 -1 0 -1 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 1 -1 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 0.754569182899 0.847816316135 0 0 0 3 0132 1302 3012 0132 0 0 0 1 0 0 0 0 -1 0 1 0 1 -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 0 0 0 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 0.414230382760 0.658157065313 4 5 3 0 0132 0132 0213 0132 0 0 0 0 0 0 0 0 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 0 1 -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 0.886440819873 1.110304059007 4 2 1 5 1230 0213 0132 3012 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 -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 0.091163075318 0.891330251277 2 3 4 4 0132 3012 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450325164050 0.449008787715 6 2 3 6 0132 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118470013648 0.470403992191 5 6 6 5 0132 1230 3012 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 2.130560202312 0.884092257197 ==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' : 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' : 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_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(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_0011_3, c_0101_0, c_0101_5, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 324129515/15153472*c_1001_0^8 + 5287337439/15153472*c_1001_0^7 - 6872442189/3788368*c_1001_0^6 + 34375201653/7576736*c_1001_0^5 - 47670032101/7576736*c_1001_0^4 + 64505881639/15153472*c_1001_0^3 - 10016068917/15153472*c_1001_0^2 - 15088827629/15153472*c_1001_0 + 1995996185/3788368, c_0011_0 - 1, c_0011_2 + 40883/236773*c_1001_0^8 - 656084/236773*c_1001_0^7 + 3291091/236773*c_1001_0^6 - 7757477/236773*c_1001_0^5 + 9758961/236773*c_1001_0^4 - 5136084/236773*c_1001_0^3 - 519387/236773*c_1001_0^2 + 1858867/236773*c_1001_0 - 560937/236773, c_0011_3 + 82491/947092*c_1001_0^8 - 1410171/947092*c_1001_0^7 + 2002191/236773*c_1001_0^6 - 11156601/473546*c_1001_0^5 + 17284897/473546*c_1001_0^4 - 27406903/947092*c_1001_0^3 + 5257105/947092*c_1001_0^2 + 7324909/947092*c_1001_0 - 1048457/236773, c_0101_0 - 1, c_0101_5 + c_1001_0 - 1, c_0101_6 + 42043/473546*c_1001_0^8 - 670825/473546*c_1001_0^7 + 1673978/236773*c_1001_0^6 - 4037299/236773*c_1001_0^5 + 5626906/236773*c_1001_0^4 - 8164041/473546*c_1001_0^3 + 2261411/473546*c_1001_0^2 + 1947795/473546*c_1001_0 - 630752/236773, c_1001_0^9 - 17*c_1001_0^8 + 96*c_1001_0^7 - 270*c_1001_0^6 + 438*c_1001_0^5 - 397*c_1001_0^4 + 163*c_1001_0^3 + 27*c_1001_0^2 - 56*c_1001_0 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB