Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 3221103463] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1745 geometric_solution 5.44216343 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 0 1 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 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 0.475673000001 0.504176667011 0 3 2 4 0132 0132 1230 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 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009961131624 1.049364788138 3 0 4 1 2310 0132 2310 3012 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 -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 1.009961131624 1.049364788138 3 1 2 3 3012 0132 3201 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141926675605 0.624832296986 5 2 1 5 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643554174190 0.316702388814 4 6 6 4 0132 0132 1023 1023 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.104925926084 0.375752710664 6 5 5 6 3201 0132 1023 2310 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.191764138514 0.199397902204 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_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_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 4196014/340879*c_0101_6^12 - 425555/17941*c_0101_6^11 - 82697726/340879*c_0101_6^10 + 24797697/340879*c_0101_6^9 + 308886749/340879*c_0101_6^8 - 208888366/340879*c_0101_6^7 - 422100534/340879*c_0101_6^6 + 541893514/340879*c_0101_6^5 - 19208804/340879*c_0101_6^4 - 34604598/48697*c_0101_6^3 + 101437064/340879*c_0101_6^2 - 8126214/340879*c_0101_6 - 272101/17941, c_0011_0 - 1, c_0011_4 - 371353/340879*c_0101_1*c_0101_6^12 + 464045/340879*c_0101_1*c_0101_6^11 + 7720161/340879*c_0101_1*c_0101_6^10 + 2935451/340879*c_0101_1*c_0101_6^9 - 27223613/340879*c_0101_1*c_0101_6^8 - 639220/340879*c_0101_1*c_0101_6^7 + 43962329/340879*c_0101_1*c_0101_6^6 - 18766369/340879*c_0101_1*c_0101_6^5 - 23037188/340879*c_0101_1*c_0101_6^4 + 1851002/48697*c_0101_1*c_0101_6^3 + 4999506/340879*c_0101_1*c_0101_6^2 - 690541/340879*c_0101_1*c_0101_6 - 155301/340879*c_0101_1, c_0101_0 - 14390/30989*c_0101_6^12 + 23895/30989*c_0101_6^11 + 292079/30989*c_0101_6^10 - 13114/30989*c_0101_6^9 - 1097574/30989*c_0101_6^8 + 454401/30989*c_0101_6^7 + 1692718/30989*c_0101_6^6 - 1478613/30989*c_0101_6^5 - 484221/30989*c_0101_6^4 + 112929/4427*c_0101_6^3 - 3300/30989*c_0101_6^2 - 79505/30989*c_0101_6 - 17083/30989, c_0101_1^2 - 8179/30989*c_0101_6^12 + 18152/30989*c_0101_6^11 + 163710/30989*c_0101_6^10 - 110214/30989*c_0101_6^9 - 721739/30989*c_0101_6^8 + 621256/30989*c_0101_6^7 + 1182886/30989*c_0101_6^6 - 1499224/30989*c_0101_6^5 - 14501/1631*c_0101_6^4 + 7258/233*c_0101_6^3 - 146341/30989*c_0101_6^2 - 141209/30989*c_0101_6 - 18808/30989, c_0101_2 - 22584/340879*c_0101_6^12 - 6955/340879*c_0101_6^11 + 518556/340879*c_0101_6^10 + 850405/340879*c_0101_6^9 - 1356836/340879*c_0101_6^8 - 93347/17941*c_0101_6^7 + 2622852/340879*c_0101_6^6 + 678044/340879*c_0101_6^5 - 2392296/340879*c_0101_6^4 + 74720/48697*c_0101_6^3 - 27647/340879*c_0101_6^2 - 44136/340879*c_0101_6 + 267137/340879, c_0101_5 - 73742/340879*c_0101_6^12 + 124900/340879*c_0101_6^11 + 1467885/340879*c_0101_6^10 - 71380/340879*c_0101_6^9 - 5196439/340879*c_0101_6^8 + 2625232/340879*c_0101_6^7 + 7739125/340879*c_0101_6^6 - 7995996/340879*c_0101_6^5 - 1976668/340879*c_0101_6^4 + 627424/48697*c_0101_6^3 - 7402/17941*c_0101_6^2 - 940382/340879*c_0101_6 - 44136/340879, c_0101_6^13 - 2*c_0101_6^12 - 20*c_0101_6^11 + 8*c_0101_6^10 + 82*c_0101_6^9 - 54*c_0101_6^8 - 129*c_0101_6^7 + 144*c_0101_6^6 + 36*c_0101_6^5 - 92*c_0101_6^4 + 9*c_0101_6^3 + 17*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB