Magma V2.19-8 Tue Aug 20 2013 16:17:20 on localhost [Seed = 4038159416] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1569 geometric_solution 5.35113450 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 0 1 -1 -1 0 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 0.495893676720 0.375795058088 0 3 2 4 0132 0132 1230 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 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 0.719059437127 0.970714400749 3 0 4 1 3201 0132 0132 3012 0 0 0 0 0 1 -1 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719059437127 0.970714400749 3 1 3 2 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.250361693810 1.237083615434 5 5 1 2 0132 2310 0132 0132 0 0 0 0 0 -1 0 1 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 -1 1 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 0.026398892486 1.416195563817 4 6 6 4 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.336885162723 0.396009536520 5 5 6 6 2310 0132 1230 3012 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 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 2.569720344040 0.466641059787 ==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' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t - 612157*c_0110_2^22 + 6401698*c_0110_2^21 - 24355208*c_0110_2^20 + 27676018*c_0110_2^19 + 65680694*c_0110_2^18 - 198996637*c_0110_2^17 + 2933079*c_0110_2^16 + 501763895*c_0110_2^15 - 276104122*c_0110_2^14 - 803328034*c_0110_2^13 + 609234129*c_0110_2^12 + 1014434706*c_0110_2^11 - 680578183*c_0110_2^10 - 1071745496*c_0110_2^9 + 340691307*c_0110_2^8 + 821413543*c_0110_2^7 + 70626858*c_0110_2^6 - 344276133*c_0110_2^5 - 154108232*c_0110_2^4 + 34286354*c_0110_2^3 + 44896199*c_0110_2^2 + 13145087*c_0110_2 + 1340694, c_0011_0 - 1, c_0011_4 - 2286*c_0110_2^22 + 24168*c_0110_2^21 - 93834*c_0110_2^20 + 115362*c_0110_2^19 + 226817*c_0110_2^18 - 761092*c_0110_2^17 + 106120*c_0110_2^16 + 1819983*c_0110_2^15 - 1216443*c_0110_2^14 - 2779021*c_0110_2^13 + 2497335*c_0110_2^12 + 3403814*c_0110_2^11 - 2763550*c_0110_2^10 - 3586992*c_0110_2^9 + 1501554*c_0110_2^8 + 2793649*c_0110_2^7 + 63390*c_0110_2^6 - 1204317*c_0110_2^5 - 472884*c_0110_2^4 + 136977*c_0110_2^3 + 147891*c_0110_2^2 + 40830*c_0110_2 + 3981, c_0101_0 - 377*c_0110_2^22 + 4003*c_0110_2^21 - 15669*c_0110_2^20 + 19863*c_0110_2^19 + 35980*c_0110_2^18 - 126289*c_0110_2^17 + 23763*c_0110_2^16 + 295208*c_0110_2^15 - 211101*c_0110_2^14 - 442196*c_0110_2^13 + 422208*c_0110_2^12 + 535663*c_0110_2^11 - 464517*c_0110_2^10 - 564934*c_0110_2^9 + 257161*c_0110_2^8 + 443136*c_0110_2^7 + 960*c_0110_2^6 - 192864*c_0110_2^5 - 72697*c_0110_2^4 + 22686*c_0110_2^3 + 23302*c_0110_2^2 + 6333*c_0110_2 + 610, c_0101_1 + 30308*c_0110_2^22 - 317365*c_0110_2^21 + 1210384*c_0110_2^20 - 1389034*c_0110_2^19 - 3223786*c_0110_2^18 + 9883068*c_0110_2^17 - 295416*c_0110_2^16 - 24766342*c_0110_2^15 + 13972852*c_0110_2^14 + 39436450*c_0110_2^13 - 30542499*c_0110_2^12 - 49625160*c_0110_2^11 + 34088617*c_0110_2^10 + 52407680*c_0110_2^9 - 17272815*c_0110_2^8 - 40238361*c_0110_2^7 - 3150951*c_0110_2^6 + 16923208*c_0110_2^5 + 7456389*c_0110_2^4 - 1716724*c_0110_2^3 - 2190114*c_0110_2^2 - 636460*c_0110_2 - 64534, c_0101_2 - 19941*c_0110_2^22 + 208679*c_0110_2^21 - 794953*c_0110_2^20 + 908130*c_0110_2^19 + 2129472*c_0110_2^18 - 6492334*c_0110_2^17 + 147922*c_0110_2^16 + 16315746*c_0110_2^15 - 9096672*c_0110_2^14 - 26047005*c_0110_2^13 + 19969237*c_0110_2^12 + 32833098*c_0110_2^11 - 22293179*c_0110_2^10 - 34682576*c_0110_2^9 + 11225054*c_0110_2^8 + 26606041*c_0110_2^7 + 2189846*c_0110_2^6 - 11169700*c_0110_2^5 - 4963313*c_0110_2^4 + 1121781*c_0110_2^3 + 1451548*c_0110_2^2 + 423634*c_0110_2 + 43106, c_0101_6 - 7165*c_0110_2^22 + 75584*c_0110_2^21 - 292230*c_0110_2^20 + 353414*c_0110_2^19 + 725103*c_0110_2^18 - 2378681*c_0110_2^17 + 270928*c_0110_2^16 + 5757064*c_0110_2^15 - 3713542*c_0110_2^14 - 8877472*c_0110_2^13 + 7740319*c_0110_2^12 + 10931168*c_0110_2^11 - 8602368*c_0110_2^10 - 11513120*c_0110_2^9 + 4643099*c_0110_2^8 + 8938143*c_0110_2^7 + 269978*c_0110_2^6 - 3840670*c_0110_2^5 - 1525636*c_0110_2^4 + 434064*c_0110_2^3 + 473402*c_0110_2^2 + 130575*c_0110_2 + 12656, c_0110_2^23 - 10*c_0110_2^22 + 35*c_0110_2^21 - 27*c_0110_2^20 - 128*c_0110_2^19 + 276*c_0110_2^18 + 144*c_0110_2^17 - 822*c_0110_2^16 + 76*c_0110_2^15 + 1519*c_0110_2^14 - 395*c_0110_2^13 - 2113*c_0110_2^12 + 354*c_0110_2^11 + 2260*c_0110_2^10 + 244*c_0110_2^9 - 1597*c_0110_2^8 - 729*c_0110_2^7 + 510*c_0110_2^6 + 509*c_0110_2^5 + 59*c_0110_2^4 - 99*c_0110_2^3 - 55*c_0110_2^2 - 12*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB