Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 1275973729] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s207 geometric_solution 4.33539761 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 2310 0132 0132 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 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 1.676623166634 2.000917471719 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.560846113798 0.261761898328 3 3 4 0 1302 1023 0132 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 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 0.262629301653 0.753970695664 2 2 0 4 1023 2031 0132 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 0 0 0 -1 0 1 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 0.262629301653 0.753970695664 5 3 5 2 0132 2310 1023 0132 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 0 0 0 0 0 0 0 0.548548405558 0.946327045690 4 5 4 5 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 0.493586089016 0.144523056077 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_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_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 16345428730/5065694763*c_0101_4^13 + 50350599319/5065694763*c_0101_4^12 - 47217045341/5065694763*c_0101_4^11 - 59270525999/5065694763*c_0101_4^10 - 175722969811/5065694763*c_0101_4^9 + 134617744279/1688564921*c_0101_4^8 - 506923728322/5065694763*c_0101_4^7 + 418706689873/5065694763*c_0101_4^6 - 274971991489/5065694763*c_0101_4^5 + 462133096780/5065694763*c_0101_4^4 - 91675882067/1688564921*c_0101_4^3 - 70716838529/5065694763*c_0101_4^2 - 33995409917/1688564921*c_0101_4 + 19635827522/5065694763, c_0011_0 - 1, c_0011_2 + 144485247/1688564921*c_0101_4^13 + 498749957/1688564921*c_0101_4^12 - 182411216/1688564921*c_0101_4^11 - 463177740/1688564921*c_0101_4^10 - 2020761757/1688564921*c_0101_4^9 + 2595866761/1688564921*c_0101_4^8 - 3308281235/1688564921*c_0101_4^7 + 4055219478/1688564921*c_0101_4^6 - 2793204644/1688564921*c_0101_4^5 + 2159079263/1688564921*c_0101_4^4 + 1624327872/1688564921*c_0101_4^3 - 2946146384/1688564921*c_0101_4^2 - 1919348632/1688564921*c_0101_4 - 1121045132/1688564921, c_0011_4 - 1132274423/5065694763*c_0101_4^13 - 3376187057/5065694763*c_0101_4^12 + 3321727294/5065694763*c_0101_4^11 + 2588512105/5065694763*c_0101_4^10 + 11966183450/5065694763*c_0101_4^9 - 8891955876/1688564921*c_0101_4^8 + 40746778913/5065694763*c_0101_4^7 - 37090445774/5065694763*c_0101_4^6 + 21891533786/5065694763*c_0101_4^5 - 25531073930/5065694763*c_0101_4^4 + 2294161777/1688564921*c_0101_4^3 + 8279795932/5065694763*c_0101_4^2 + 1007495387/1688564921*c_0101_4 + 4391675966/5065694763, c_0101_0 + 383724821/1688564921*c_0101_4^13 + 1118790574/1688564921*c_0101_4^12 - 1097239631/1688564921*c_0101_4^11 - 636974710/1688564921*c_0101_4^10 - 4649528500/1688564921*c_0101_4^9 + 9782796022/1688564921*c_0101_4^8 - 15362516546/1688564921*c_0101_4^7 + 17070413394/1688564921*c_0101_4^6 - 16375043282/1688564921*c_0101_4^5 + 19483163063/1688564921*c_0101_4^4 - 11814947173/1688564921*c_0101_4^3 + 3149159550/1688564921*c_0101_4^2 - 3889758711/1688564921*c_0101_4 - 1027767475/1688564921, c_0101_1 - 975928027/5065694763*c_0101_4^13 - 2528142172/5065694763*c_0101_4^12 + 4010864060/5065694763*c_0101_4^11 + 1105487213/5065694763*c_0101_4^10 + 9268799311/5065694763*c_0101_4^9 - 8928395036/1688564921*c_0101_4^8 + 45240288598/5065694763*c_0101_4^7 - 45470594128/5065694763*c_0101_4^6 + 31030076317/5065694763*c_0101_4^5 - 30710117788/5065694763*c_0101_4^4 + 7152688921/1688564921*c_0101_4^3 - 7267899559/5065694763*c_0101_4^2 + 1826731645/1688564921*c_0101_4 + 1517572261/5065694763, c_0101_4^14 + 3*c_0101_4^13 - 3*c_0101_4^12 - 3*c_0101_4^11 - 11*c_0101_4^10 + 25*c_0101_4^9 - 34*c_0101_4^8 + 32*c_0101_4^7 - 23*c_0101_4^6 + 32*c_0101_4^5 - 19*c_0101_4^4 - 2*c_0101_4^3 - 7*c_0101_4^2 - c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB