Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 2715827596] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s212 geometric_solution 4.35143838 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 1 0 -1 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 1 -1 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.870646141533 0.472889251677 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520319608601 0.920213855660 4 1 3 3 0132 0132 1302 2031 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.337062213747 0.422151909914 2 2 4 1 2031 1302 2310 0132 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 1 0 -1 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337062213747 0.422151909914 2 3 5 5 0132 3201 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 -0.842010573663 1.347807725559 4 5 4 5 2310 2310 0132 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 -0.384611143962 0.693772541052 ==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_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_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 5754892446/85534747*c_0101_4^11 + 17499696467/85534747*c_0101_4^10 + 121332951140/598743229*c_0101_4^9 - 651984905681/598743229*c_0101_4^8 + 303861568420/598743229*c_0101_4^7 + 702844891936/598743229*c_0101_4^6 - 537271055472/598743229*c_0101_4^5 - 431374775918/598743229*c_0101_4^4 + 379870819449/598743229*c_0101_4^3 + 121954843201/598743229*c_0101_4^2 - 73806509267/598743229*c_0101_4 - 19799082049/598743229, c_0011_0 - 1, c_0011_3 - 122017041/85534747*c_0101_4^11 + 559982993/85534747*c_0101_4^10 - 1164978830/598743229*c_0101_4^9 - 18259576277/598743229*c_0101_4^8 + 25898730625/598743229*c_0101_4^7 + 7837306737/598743229*c_0101_4^6 - 30800718233/598743229*c_0101_4^5 + 3147702692/598743229*c_0101_4^4 + 19509672720/598743229*c_0101_4^3 - 5546437317/598743229*c_0101_4^2 - 3537563928/598743229*c_0101_4 + 365126026/598743229, c_0011_5 - 11514217/85534747*c_0101_4^11 + 181542519/85534747*c_0101_4^10 - 2551259437/598743229*c_0101_4^9 - 5040810539/598743229*c_0101_4^8 + 15420547788/598743229*c_0101_4^7 - 2496047870/598743229*c_0101_4^6 - 17122452713/598743229*c_0101_4^5 + 6836771164/598743229*c_0101_4^4 + 11177465566/598743229*c_0101_4^3 - 4385091591/598743229*c_0101_4^2 - 2678771288/598743229*c_0101_4 + 360372097/598743229, c_0101_0 - 322787503/85534747*c_0101_4^11 + 954417959/85534747*c_0101_4^10 + 6321514629/598743229*c_0101_4^9 - 33227153567/598743229*c_0101_4^8 + 17717074969/598743229*c_0101_4^7 + 26844566158/598743229*c_0101_4^6 - 22441963207/598743229*c_0101_4^5 - 14136037730/598743229*c_0101_4^4 + 12562112041/598743229*c_0101_4^3 + 1285052450/598743229*c_0101_4^2 - 309984218/598743229*c_0101_4 - 271625771/598743229, c_0101_1 + 4753929/85534747*c_0101_4^11 - 124764611/85534747*c_0101_4^10 + 2544496880/598743229*c_0101_4^9 + 1923474584/598743229*c_0101_4^8 - 13451708259/598743229*c_0101_4^7 + 9874433854/598743229*c_0101_4^6 + 10780223933/598743229*c_0101_4^5 - 13297951200/598743229*c_0101_4^4 - 4021843502/598743229*c_0101_4^3 + 8222866787/598743229*c_0101_4^2 - 481785704/598743229*c_0101_4 - 844530853/598743229, c_0101_4^12 - 3*c_0101_4^11 - 22/7*c_0101_4^10 + 113/7*c_0101_4^9 - 7*c_0101_4^8 - 127/7*c_0101_4^7 + 94/7*c_0101_4^6 + 80/7*c_0101_4^5 - 10*c_0101_4^4 - 23/7*c_0101_4^3 + 17/7*c_0101_4^2 + 3/7*c_0101_4 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB