Magma V2.19-8 Tue Aug 20 2013 16:19:01 on localhost [Seed = 4223297170] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3159 geometric_solution 6.31093996 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 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 -1 0 1 -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 -0.695958524824 0.707058447440 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.690992125011 1.734177343749 4 3 1 4 0132 2031 0132 2031 0 0 1 0 0 0 0 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 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 0 0 0 0 0.532104263057 0.624417957620 2 5 5 1 1302 0132 1302 0132 0 0 0 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 0 0 0 0 0 1 -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 0.532104263057 0.624417957620 2 2 5 6 0132 1302 0132 0132 0 0 0 1 0 1 0 -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 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 0.209393188008 0.927767591991 3 3 6 4 2031 0132 3201 0132 0 0 1 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 -1 0 0 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 0.209393188008 0.927767591991 5 6 4 6 2310 1302 0132 2031 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368057661858 1.144431157595 ==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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), '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_2'], 'c_0011_4' : negation(d['c_0011_2']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(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' : d['c_0101_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0011_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 836962836404037269005/100892483270527043136*c_0101_5^11 + 15213282506177721821041/100892483270527043136*c_0101_5^10 + 25154651748560074581943/25223120817631760784*c_0101_5^9 + 375259704727088819447603/100892483270527043136*c_0101_5^8 + 537765850331038092090173/50446241635263521568*c_0101_5^7 + 1524475770202834444430993/100892483270527043136*c_0101_5^6 + 438621667335556734197841/33630827756842347712*c_0101_5^5 - 583278910677930750285409/100892483270527043136*c_0101_5^4 - 85308348015188458391579/33630827756842347712*c_0101_5^3 + 806067989895747368950003/100892483270527043136*c_0101_5^2 - 382092662097239360462521/100892483270527043136*c_0101_5 + 81849264293763867651493/100892483270527043136, c_0011_0 - 1, c_0011_2 - 1, c_0011_6 - 5835323674740083/885021783074798624*c_0101_5^11 - 105652247207525795/885021783074798624*c_0101_5^10 - 173159064101457107/221255445768699656*c_0101_5^9 - 2541201365561972421/885021783074798624*c_0101_5^8 - 3567332876898491989/442510891537399312*c_0101_5^7 - 9383597528435590763/885021783074798624*c_0101_5^6 - 6292706007293473533/885021783074798624*c_0101_5^5 + 8324524034197581571/885021783074798624*c_0101_5^4 + 5296581388093058599/885021783074798624*c_0101_5^3 - 5304325742673547281/885021783074798624*c_0101_5^2 + 2348258332384574247/885021783074798624*c_0101_5 - 267593653723588215/885021783074798624, c_0101_0 + 58370968365869/110627722884349828*c_0101_5^11 + 977886733597775/110627722884349828*c_0101_5^10 + 1396758194505777/27656930721087457*c_0101_5^9 + 17606518578148727/110627722884349828*c_0101_5^8 + 11687189557394689/27656930721087457*c_0101_5^7 + 30842180779553403/110627722884349828*c_0101_5^6 + 24718674819374603/110627722884349828*c_0101_5^5 - 81012074991248655/110627722884349828*c_0101_5^4 + 74678710130567479/110627722884349828*c_0101_5^3 - 46605516281170763/110627722884349828*c_0101_5^2 - 40563928729049001/110627722884349828*c_0101_5 + 67491580477658155/110627722884349828, c_0101_1 - 13472170235328839/221255445768699656*c_0101_5^11 - 246163738329978723/221255445768699656*c_0101_5^10 - 410689698671067767/55313861442174914*c_0101_5^9 - 6190985708520289201/221255445768699656*c_0101_5^8 - 8928857989041496727/110627722884349828*c_0101_5^7 - 26050384755399735603/221255445768699656*c_0101_5^6 - 23072040115524788705/221255445768699656*c_0101_5^5 + 8347304229489945715/221255445768699656*c_0101_5^4 + 6258429652924779651/221255445768699656*c_0101_5^3 - 11672875000315947873/221255445768699656*c_0101_5^2 + 4789640215888251219/221255445768699656*c_0101_5 - 723316409496805383/221255445768699656, c_0101_4 + 32605413454622869/1770043566149597248*c_0101_5^11 + 608534415707897781/1770043566149597248*c_0101_5^10 + 1053508846067081517/442510891537399312*c_0101_5^9 + 16631891076264135379/1770043566149597248*c_0101_5^8 + 24856863641618205755/885021783074798624*c_0101_5^7 + 82398141700369009581/1770043566149597248*c_0101_5^6 + 87639070931700616283/1770043566149597248*c_0101_5^5 + 12852158383599306827/1770043566149597248*c_0101_5^4 - 12667490853287632513/1770043566149597248*c_0101_5^3 + 20997730330939543991/1770043566149597248*c_0101_5^2 - 4949402419007285281/1770043566149597248*c_0101_5 + 669640710974403585/1770043566149597248, c_0101_5^12 + 18*c_0101_5^11 + 117*c_0101_5^10 + 427*c_0101_5^9 + 1205*c_0101_5^8 + 1591*c_0101_5^7 + 1240*c_0101_5^6 - 994*c_0101_5^5 - 206*c_0101_5^4 + 1006*c_0101_5^3 - 626*c_0101_5^2 + 176*c_0101_5 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB