Magma V2.19-8 Tue Aug 20 2013 16:18:33 on localhost [Seed = 1797977690] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2747 geometric_solution 5.98850570 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 0 -1 1 -1 0 0 1 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 -1 1 0 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297150548487 2.618751361658 0 2 4 2 0132 2031 0132 3012 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 -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 -0.173792317606 0.890913388521 1 0 1 5 1302 0132 1230 0132 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 0 0 0 0 1 -1 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 -0.173792317606 0.890913388521 5 0 4 0 3012 2310 0321 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 1 -1 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 0.095010939766 0.497757614203 6 5 3 1 0132 2031 0321 0132 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 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 0.305394509446 0.849532020557 4 6 2 3 1302 0132 0132 1230 0 0 0 0 0 -1 1 0 0 0 0 0 0 1 0 -1 -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 0.305394509446 0.849532020557 4 5 6 6 0132 0132 2031 1302 0 0 0 0 0 1 -1 0 0 0 0 0 0 -1 0 1 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 0.461696498287 0.318032081903 ==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_0101_1'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} 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_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 117708786676762284/60442971095113*c_1001_2^13 + 2203749486559227326/60442971095113*c_1001_2^12 - 798496825102336909/60442971095113*c_1001_2^11 - 1779165440467606159/60442971095113*c_1001_2^10 + 3037001731847102207/60442971095113*c_1001_2^9 - 6784535045581651225/60442971095113*c_1001_2^8 - 9684462216615703949/60442971095113*c_1001_2^7 + 3503072848951754760/60442971095113*c_1001_2^6 + 12068277813484965896/60442971095113*c_1001_2^5 + 1597953614680630296/60442971095113*c_1001_2^4 - 1940140093495344589/60442971095113*c_1001_2^3 - 730249413835392472/60442971095113*c_1001_2^2 - 793567801293854800/60442971095113*c_1001_2 + 376503320932274974/60442971095113, c_0011_0 - 1, c_0011_3 - 14345907226227/60442971095113*c_1001_2^13 + 265032398890969/60442971095113*c_1001_2^12 - 30216860841993/60442971095113*c_1001_2^11 - 256315641959106/60442971095113*c_1001_2^10 + 400975181461783/60442971095113*c_1001_2^9 - 768039488396543/60442971095113*c_1001_2^8 - 1436513327933997/60442971095113*c_1001_2^7 + 271461108180498/60442971095113*c_1001_2^6 + 1354851751993278/60442971095113*c_1001_2^5 + 258415070665527/60442971095113*c_1001_2^4 - 147039777853952/60442971095113*c_1001_2^3 + 154012357311905/60442971095113*c_1001_2^2 - 90953963933778/60442971095113*c_1001_2 + 14383316832087/60442971095113, c_0011_4 + 11228028073421/60442971095113*c_1001_2^13 - 216090683797125/60442971095113*c_1001_2^12 + 183425700754673/60442971095113*c_1001_2^11 + 180554402131218/60442971095113*c_1001_2^10 - 362347392984706/60442971095113*c_1001_2^9 + 732925784333301/60442971095113*c_1001_2^8 + 668665380242065/60442971095113*c_1001_2^7 - 940446903641962/60442971095113*c_1001_2^6 - 1353833209951082/60442971095113*c_1001_2^5 + 463168146896210/60442971095113*c_1001_2^4 + 536434753443121/60442971095113*c_1001_2^3 + 45627708074915/60442971095113*c_1001_2^2 + 31872187668633/60442971095113*c_1001_2 - 20894235904337/60442971095113, c_0101_0 + c_1001_2, c_0101_1 - 2758150402126/60442971095113*c_1001_2^13 + 48689363873621/60442971095113*c_1001_2^12 + 34590037176745/60442971095113*c_1001_2^11 - 25506550782076/60442971095113*c_1001_2^10 + 3103959560936/60442971095113*c_1001_2^9 - 72384472603721/60442971095113*c_1001_2^8 - 356589443824070/60442971095113*c_1001_2^7 - 309626599122929/60442971095113*c_1001_2^6 + 294747725794895/60442971095113*c_1001_2^5 + 323102220048122/60442971095113*c_1001_2^4 + 34399680001494/60442971095113*c_1001_2^3 - 24267952698472/60442971095113*c_1001_2^2 + 95688875557881/60442971095113*c_1001_2 - 11228028073421/60442971095113, c_0101_3 - 10446377973774/60442971095113*c_1001_2^13 + 196869355519569/60442971095113*c_1001_2^12 - 101157981552950/60442971095113*c_1001_2^11 - 33971544793748/60442971095113*c_1001_2^10 + 231400058864703/60442971095113*c_1001_2^9 - 697511282429478/60442971095113*c_1001_2^8 - 629492005058325/60442971095113*c_1001_2^7 + 39615935724290/60442971095113*c_1001_2^6 + 616140623202415/60442971095113*c_1001_2^5 + 174617038716702/60442971095113*c_1001_2^4 + 341996356968529/60442971095113*c_1001_2^3 - 25665739052829/60442971095113*c_1001_2^2 - 133608508825900/60442971095113*c_1001_2 + 18061400993000/60442971095113, c_1001_2^14 - 19*c_1001_2^13 + 12*c_1001_2^12 + 13*c_1001_2^11 - 30*c_1001_2^10 + 65*c_1001_2^9 + 66*c_1001_2^8 - 52*c_1001_2^7 - 93*c_1001_2^6 + 15*c_1001_2^5 + 19*c_1001_2^4 + c_1001_2^3 + 5*c_1001_2^2 - 5*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB