Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 2050745879] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s812 geometric_solution 5.37587720 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494698920313 0.273226420177 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -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 0.956364429276 0.582264462651 1 4 5 3 0132 0132 0132 2310 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 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 0.419792255440 0.994332650489 2 5 4 1 3201 1023 1023 0132 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 0 0 0 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 0.419792255440 0.994332650489 4 2 3 4 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.978573581528 0.907569016889 3 5 5 2 1023 1230 3012 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 0 0 0 0 0 0 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 0.076662157252 0.726581978715 ==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' : negation(d['1']), 's_1_5' : negation(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' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 2959916048628240321/3900367885897297832*c_0101_4^25 + 135812418212703185653/7800735771794595664*c_0101_4^23 - 1931920037808365814127/7800735771794595664*c_0101_4^21 + 14101410302129104463175/7800735771794595664*c_0101_4^19 - 60483274062448057321875/7800735771794595664*c_0101_4^17 + 169365787064563955249103/7800735771794595664*c_0101_4^15 - 322839411017678102528979/7800735771794595664*c_0101_4^13 + 414485438949271800199373/7800735771794595664*c_0101_4^11 - 345032739397595044009183/7800735771794595664*c_0101_4^9 + 185056595531983237563851/7800735771794595664*c_0101_4^7 - 38711081379555683001717/3900367885897297832*c_0101_4^5 + 32401312610724438938131/7800735771794595664*c_0101_4^3 - 3823256718164316994683/3900367885897297832*c_0101_4, c_0011_0 - 1, c_0011_1 - 75974543715087/34064348348448016*c_0101_4^24 + 1809383510313867/34064348348448016*c_0101_4^22 - 25960963633838623/34064348348448016*c_0101_4^20 + 195366102237734935/34064348348448016*c_0101_4^18 - 836846635296613847/34064348348448016*c_0101_4^16 + 2256760544205610883/34064348348448016*c_0101_4^14 - 4006140171368271445/34064348348448016*c_0101_4^12 + 4497817754410866731/34064348348448016*c_0101_4^10 - 2881754359961749793/34064348348448016*c_0101_4^8 + 576443963998574395/17032174174224008*c_0101_4^6 - 617459883653353575/34064348348448016*c_0101_4^4 + 45214314191883391/8516087087112004*c_0101_4^2 + 124032143348499/2129021771778001, c_0011_3 - 3593261392585301/7800735771794595664*c_0101_4^25 + 16963028078318185/7800735771794595664*c_0101_4^23 + 208356512498820187/7800735771794595664*c_0101_4^21 - 10242438930881069115/7800735771794595664*c_0101_4^19 + 84223543454514713315/7800735771794595664*c_0101_4^17 - 338943631701582225831/7800735771794595664*c_0101_4^15 + 835606717501994457849/7800735771794595664*c_0101_4^13 - 1316683736950840172511/7800735771794595664*c_0101_4^11 + 1249170860026550461029/7800735771794595664*c_0101_4^9 - 331095333279626817563/3900367885897297832*c_0101_4^7 + 259824688090286310515/7800735771794595664*c_0101_4^5 - 30878353225451572929/1950183942948648916*c_0101_4^3 + 2073390445437658657/975091971474324458*c_0101_4, c_0101_0 + 277538305935818295/3900367885897297832*c_0101_4^25 - 6042620086429703643/3900367885897297832*c_0101_4^23 + 83548371796703165477/3900367885897297832*c_0101_4^21 - 564315192913579218011/3900367885897297832*c_0101_4^19 + 2188388231365398807309/3900367885897297832*c_0101_4^17 - 5467179142849237892887/3900367885897297832*c_0101_4^15 + 9075168432553085227219/3900367885897297832*c_0101_4^13 - 9647475496177954531631/3900367885897297832*c_0101_4^11 + 6255985051146805357235/3900367885897297832*c_0101_4^9 - 1390859121649358730031/1950183942948648916*c_0101_4^7 + 1263561427445572793653/3900367885897297832*c_0101_4^5 - 207944106432071482507/1950183942948648916*c_0101_4^3 + 11451477812830189111/975091971474324458*c_0101_4, c_0101_1 + 27759388706048/2129021771778001*c_0101_4^24 - 1193378207545915/4258043543556002*c_0101_4^22 + 32755665029318381/8516087087112004*c_0101_4^20 - 108274858849165765/4258043543556002*c_0101_4^18 + 813792791401797401/8516087087112004*c_0101_4^16 - 978038282457442935/4258043543556002*c_0101_4^14 + 3084904237136087461/8516087087112004*c_0101_4^12 - 1513261559711547089/4258043543556002*c_0101_4^10 + 1744958110443678031/8516087087112004*c_0101_4^8 - 185484748909610334/2129021771778001*c_0101_4^6 + 358387849556867983/8516087087112004*c_0101_4^4 - 96041838119391805/8516087087112004*c_0101_4^2 + 2460019685774809/2129021771778001, c_0101_4^26 - 22*c_0101_4^24 + 306*c_0101_4^22 - 2102*c_0101_4^20 + 8350*c_0101_4^18 - 21506*c_0101_4^16 + 37220*c_0101_4^14 - 42268*c_0101_4^12 + 30504*c_0101_4^10 - 15125*c_0101_4^8 + 6759*c_0101_4^6 - 2501*c_0101_4^4 + 480*c_0101_4^2 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB