Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 4004475599] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s164 geometric_solution 4.25297848 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 0 -1 1 0 0 1 -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 -1 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 1.655054207972 1.843930704428 0 0 1 1 0132 3201 2031 1302 0 0 0 0 0 0 0 0 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 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 0.395322897888 0.250040032330 3 0 4 3 3012 0132 0132 3120 0 0 0 0 0 0 1 -1 -1 0 0 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 1 -1 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 0.743598701529 0.531490442045 2 4 0 2 3120 3201 0132 1230 0 0 0 0 0 0 -1 1 -1 0 1 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743598701529 0.531490442045 5 5 3 2 0132 3201 2310 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 -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 0.479079753461 0.380348923382 4 5 4 5 0132 1302 2310 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 -1.987296149540 1.127036314408 ==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' : negation(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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_4, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 7180299549573/75756043960*c_0101_4^14 - 14258989528901/75756043960*c_0101_4^13 + 26564678695251/75756043960*c_0101_4^12 - 92943169964497/75756043960*c_0101_4^11 + 24789889490271/75756043960*c_0101_4^10 + 47764056192501/75756043960*c_0101_4^9 - 173753004164747/75756043960*c_0101_4^8 + 27132061394753/15151208792*c_0101_4^7 + 47380488227149/75756043960*c_0101_4^6 - 45488167394759/37878021980*c_0101_4^5 + 39567831973257/18939010990*c_0101_4^4 + 12378472034417/18939010990*c_0101_4^3 - 421505239383/7575604396*c_0101_4^2 + 66724591844597/75756043960*c_0101_4 + 26323518708567/75756043960, c_0011_0 - 1, c_0011_3 + 7034310153/1893901099*c_0101_4^14 + 12201527295/1893901099*c_0101_4^13 - 28606710668/1893901099*c_0101_4^12 + 98312172396/1893901099*c_0101_4^11 - 52105355380/1893901099*c_0101_4^10 - 23337268730/1893901099*c_0101_4^9 + 161811072765/1893901099*c_0101_4^8 - 166310824451/1893901099*c_0101_4^7 + 8141257280/1893901099*c_0101_4^6 + 61832590086/1893901099*c_0101_4^5 - 149917680244/1893901099*c_0101_4^4 - 10917016546/1893901099*c_0101_4^3 - 6608329689/1893901099*c_0101_4^2 - 54508102308/1893901099*c_0101_4 - 15211415143/1893901099, c_0011_4 + 3653989761/1893901099*c_0101_4^14 + 6548107153/1893901099*c_0101_4^13 - 13645846609/1893901099*c_0101_4^12 + 51934378369/1893901099*c_0101_4^11 - 27956218747/1893901099*c_0101_4^10 - 5187075420/1893901099*c_0101_4^9 + 81532988039/1893901099*c_0101_4^8 - 92985646718/1893901099*c_0101_4^7 + 14841166210/1893901099*c_0101_4^6 + 20126247802/1893901099*c_0101_4^5 - 82987865825/1893901099*c_0101_4^4 - 1383004585/1893901099*c_0101_4^3 - 11059568481/1893901099*c_0101_4^2 - 27523218438/1893901099*c_0101_4 - 6814839743/1893901099, c_0101_0 + 13571239746/1893901099*c_0101_4^14 + 26853639916/1893901099*c_0101_4^13 - 50748815305/1893901099*c_0101_4^12 + 175251939063/1893901099*c_0101_4^11 - 47049673576/1893901099*c_0101_4^10 - 93935316094/1893901099*c_0101_4^9 + 330164562499/1893901099*c_0101_4^8 - 257676672460/1893901099*c_0101_4^7 - 92007535046/1893901099*c_0101_4^6 + 177109351653/1893901099*c_0101_4^5 - 299916727282/1893901099*c_0101_4^4 - 89859271853/1893901099*c_0101_4^3 + 9737641605/1893901099*c_0101_4^2 - 125624532334/1893901099*c_0101_4 - 47175656270/1893901099, c_0101_2 + 3017591427/1893901099*c_0101_4^14 + 5020729990/1893901099*c_0101_4^13 - 11771145799/1893901099*c_0101_4^12 + 44216224083/1893901099*c_0101_4^11 - 29816983234/1893901099*c_0101_4^10 + 3766808878/1893901099*c_0101_4^9 + 58934428184/1893901099*c_0101_4^8 - 78420623408/1893901099*c_0101_4^7 + 25066554882/1893901099*c_0101_4^6 + 2222219909/1893901099*c_0101_4^5 - 58548389811/1893901099*c_0101_4^4 + 3754355220/1893901099*c_0101_4^3 - 13310435599/1893901099*c_0101_4^2 - 18435639150/1893901099*c_0101_4 - 4856199759/1893901099, c_0101_4^15 + 7/3*c_0101_4^14 - 3*c_0101_4^13 + 35/3*c_0101_4^12 + c_0101_4^11 - 23/3*c_0101_4^10 + 65/3*c_0101_4^9 - 31/3*c_0101_4^8 - 13*c_0101_4^7 + 10*c_0101_4^6 - 52/3*c_0101_4^5 - 44/3*c_0101_4^4 - 2*c_0101_4^3 - 9*c_0101_4^2 - 7*c_0101_4 - 4/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB