Magma V2.19-8 Tue Aug 20 2013 16:16:12 on localhost [Seed = 1141233796] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0461 geometric_solution 4.49758820 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 3.382652773743 0.681310584709 2 0 0 2 0132 0132 1023 3201 0 0 0 0 0 1 0 -1 1 0 -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 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 -0.111921813156 0.066655238453 1 1 3 3 0132 2310 0132 2310 0 0 0 0 0 1 -1 0 -1 0 0 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 1 -1 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 3.858490636834 3.099696454990 2 4 5 2 3201 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053081488994 0.515918634820 5 3 6 5 2310 0132 0132 2031 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 1 0 0 -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 0.202526380261 0.842683174595 6 4 4 3 2310 1302 3201 0132 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 1 -1 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202526380261 0.842683174595 6 6 5 4 1302 2031 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592441867373 0.626027972843 ==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' : 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' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : 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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 34450571677/366465931*c_0101_4^10 + 343646642582/366465931*c_0101_4^9 + 479322491620/366465931*c_0101_4^8 - 232056607580/366465931*c_0101_4^7 - 3604480391159/366465931*c_0101_4^6 - 2187662346660/366465931*c_0101_4^5 + 4158349186785/366465931*c_0101_4^4 + 2212760574452/366465931*c_0101_4^3 - 458747492643/366465931*c_0101_4^2 - 235080421790/366465931*c_0101_4 + 7392777169/366465931, c_0011_0 - 1, c_0011_3 + 31985191/28189687*c_0101_4^10 + 316392311/28189687*c_0101_4^9 + 419063391/28189687*c_0101_4^8 - 246672842/28189687*c_0101_4^7 - 3320913846/28189687*c_0101_4^6 - 1751156131/28189687*c_0101_4^5 + 3980680912/28189687*c_0101_4^4 + 1718551140/28189687*c_0101_4^3 - 564603562/28189687*c_0101_4^2 - 220604951/28189687*c_0101_4 + 15460386/28189687, c_0011_5 + 41842474/28189687*c_0101_2*c_0101_4^10 + 412642033/28189687*c_0101_2*c_0101_4^9 + 533847917/28189687*c_0101_2*c_0101_4^8 - 356738739/28189687*c_0101_2*c_0101_4^7 - 4348849673/28189687*c_0101_2*c_0101_4^6 - 2160894578/28189687*c_0101_2*c_0101_4^5 + 5439221811/28189687*c_0101_2*c_0101_4^4 + 2053589677/28189687*c_0101_2*c_0101_4^3 - 791999958/28189687*c_0101_2*c_0101_4^2 - 257494665/28189687*c_0101_2*c_0101_4 + 9677939/28189687*c_0101_2, c_0011_6 + 38170790/28189687*c_0101_2*c_0101_4^10 + 372253801/28189687*c_0101_2*c_0101_4^9 + 448670955/28189687*c_0101_2*c_0101_4^8 - 356127674/28189687*c_0101_2*c_0101_4^7 - 3944389606/28189687*c_0101_2*c_0101_4^6 - 1572407263/28189687*c_0101_2*c_0101_4^5 + 4934717580/28189687*c_0101_2*c_0101_4^4 + 1696125689/28189687*c_0101_2*c_0101_4^3 - 928131466/28189687*c_0101_2*c_0101_4^2 - 230004814/28189687*c_0101_2*c_0101_4 + 29423646/28189687*c_0101_2, c_0101_0 - 132866/28189687*c_0101_2*c_0101_4^10 + 16445820/28189687*c_0101_2*c_0101_4^9 + 176878890/28189687*c_0101_2*c_0101_4^8 + 260052943/28189687*c_0101_2*c_0101_4^7 - 108015800/28189687*c_0101_2*c_0101_4^6 - 1862663894/28189687*c_0101_2*c_0101_4^5 - 1261826543/28189687*c_0101_2*c_0101_4^4 + 2286216340/28189687*c_0101_2*c_0101_4^3 + 1128822202/28189687*c_0101_2*c_0101_4^2 - 313468248/28189687*c_0101_2*c_0101_4 - 100456168/28189687*c_0101_2, c_0101_2^2 - 13167675/28189687*c_0101_4^10 - 123999886/28189687*c_0101_4^9 - 110092777/28189687*c_0101_4^8 + 189215370/28189687*c_0101_4^7 + 1327015907/28189687*c_0101_4^6 + 69923445/28189687*c_0101_4^5 - 2037113317/28189687*c_0101_4^4 + 31274232/28189687*c_0101_4^3 + 605704342/28189687*c_0101_4^2 - 9428144/28189687*c_0101_4 - 65226727/28189687, c_0101_4^11 + 10*c_0101_4^10 + 14*c_0101_4^9 - 8*c_0101_4^8 - 107*c_0101_4^7 - 65*c_0101_4^6 + 136*c_0101_4^5 + 77*c_0101_4^4 - 31*c_0101_4^3 - 17*c_0101_4^2 + 2*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB