Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 576962052] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s146 geometric_solution 4.20848541 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 0321 0132 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763753723135 1.495303335648 0 2 0 3 0132 2310 0321 3201 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 -1 0 1 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 0.763753723135 1.495303335648 4 0 4 1 0132 0132 1023 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.205561962923 0.965705815895 5 1 0 5 0132 2310 0132 1023 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719091526986 0.298206483834 2 4 2 4 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444308565588 0.084205589599 3 5 5 3 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.412115627599 0.597009495127 ==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' : 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_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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0101_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1248764375/523751473*c_0101_5^11 - 2094625803/74821639*c_0101_5^10 + 12391757324/523751473*c_0101_5^9 + 67679160750/74821639*c_0101_5^8 + 87452644460/74821639*c_0101_5^7 - 74788067405/74821639*c_0101_5^6 - 461671839955/523751473*c_0101_5^5 + 81952391803/523751473*c_0101_5^4 - 923175402532/523751473*c_0101_5^3 - 1331120373337/523751473*c_0101_5^2 - 581524097292/523751473*c_0101_5 - 84707019575/523751473, c_0011_0 - 1, c_0011_3 - 255546247/74821639*c_0101_5^11 - 738186186/74821639*c_0101_5^10 + 9584675984/74821639*c_0101_5^9 + 13594587549/74821639*c_0101_5^8 - 14351656471/74821639*c_0101_5^7 - 7990543852/74821639*c_0101_5^6 + 6119003648/74821639*c_0101_5^5 - 20224419617/74821639*c_0101_5^4 - 25131540646/74821639*c_0101_5^3 - 7642275795/74821639*c_0101_5^2 - 418600192/74821639*c_0101_5 + 112997163/74821639, c_0101_0 - 102846608/74821639*c_0101_5^11 - 258436606/74821639*c_0101_5^10 + 3983903274/74821639*c_0101_5^9 + 4054469170/74821639*c_0101_5^8 - 8408440783/74821639*c_0101_5^7 - 1446559070/74821639*c_0101_5^6 + 4707958451/74821639*c_0101_5^5 - 9314604378/74821639*c_0101_5^4 - 7091280812/74821639*c_0101_5^3 + 1870096694/74821639*c_0101_5^2 + 1635913504/74821639*c_0101_5 + 264667179/74821639, c_0101_2 + 403824299/74821639*c_0101_5^11 + 1442782414/74821639*c_0101_5^10 - 14294787574/74821639*c_0101_5^9 - 31701694652/74821639*c_0101_5^8 + 5961173232/74821639*c_0101_5^7 + 25732731293/74821639*c_0101_5^6 + 2251038935/74821639*c_0101_5^5 + 26138344626/74821639*c_0101_5^4 + 60426236343/74821639*c_0101_5^3 + 43637216511/74821639*c_0101_5^2 + 13212725933/74821639*c_0101_5 + 1463552081/74821639, c_0101_4 - 416937403/74821639*c_0101_5^11 - 1302513368/74821639*c_0101_5^10 + 15335448652/74821639*c_0101_5^9 + 25813149619/74821639*c_0101_5^8 - 17468376968/74821639*c_0101_5^7 - 17835063060/74821639*c_0101_5^6 + 5756872709/74821639*c_0101_5^5 - 30641800278/74821639*c_0101_5^4 - 48593430591/74821639*c_0101_5^3 - 23618622867/74821639*c_0101_5^2 - 4875925622/74821639*c_0101_5 - 401884188/74821639, c_0101_5^12 + 4*c_0101_5^11 - 34*c_0101_5^10 - 94*c_0101_5^9 - 14*c_0101_5^8 + 77*c_0101_5^7 + 26*c_0101_5^6 + 63*c_0101_5^5 + 180*c_0101_5^4 + 162*c_0101_5^3 + 66*c_0101_5^2 + 13*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB