Magma V2.19-8 Tue Aug 20 2013 16:18:06 on localhost [Seed = 3018993527] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2333 geometric_solution 5.71976349 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 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 -1 0 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 0.249413200027 0.194755773986 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259861012888 1.750142204140 1 4 5 3 0132 0132 0132 1230 0 0 0 0 0 1 -1 0 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681519167567 1.137150462554 2 5 4 1 3012 3201 3201 0132 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 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 0.681519167567 1.137150462554 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434926465398 0.375111127245 6 6 3 2 0132 2310 2310 0132 0 0 0 0 0 0 -1 1 1 0 -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 1 0 -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 0.198306454070 1.348099402967 5 6 6 5 0132 1230 3012 3201 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 -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 -0.263483423049 0.475500707830 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 276886298013300/618460767223*c_0101_4^12 - 522489495682431/618460767223*c_0101_4^11 + 916807456082892/618460767223*c_0101_4^10 + 561957735874464/618460767223*c_0101_4^9 - 5982275382354860/618460767223*c_0101_4^8 - 7074528429023826/618460767223*c_0101_4^7 + 5380630373151764/618460767223*c_0101_4^6 + 13451216917668241/618460767223*c_0101_4^5 + 5674685679264842/618460767223*c_0101_4^4 - 2364975435811883/618460767223*c_0101_4^3 - 2469389423068417/618460767223*c_0101_4^2 - 313671774268483/618460767223*c_0101_4 + 120779118611568/618460767223, c_0011_0 - 1, c_0011_1 - 99976258134/47573905171*c_0101_4^12 - 172873715634/47573905171*c_0101_4^11 + 348068601546/47573905171*c_0101_4^10 + 136245421344/47573905171*c_0101_4^9 - 2130458648704/47573905171*c_0101_4^8 - 2224358702822/47573905171*c_0101_4^7 + 2048962159046/47573905171*c_0101_4^6 + 4461968107847/47573905171*c_0101_4^5 + 1753851041586/47573905171*c_0101_4^4 - 797912763858/47573905171*c_0101_4^3 - 916717330628/47573905171*c_0101_4^2 - 201617570485/47573905171*c_0101_4 + 28762463807/47573905171, c_0011_3 + 140124596526/47573905171*c_0101_4^12 + 198411682086/47573905171*c_0101_4^11 - 579146815167/47573905171*c_0101_4^10 - 51710223132/47573905171*c_0101_4^9 + 3124889888764/47573905171*c_0101_4^8 + 2139966857178/47573905171*c_0101_4^7 - 4202180008028/47573905171*c_0101_4^6 - 5328638118243/47573905171*c_0101_4^5 + 27879003226/47573905171*c_0101_4^4 + 2078880741382/47573905171*c_0101_4^3 + 695233346339/47573905171*c_0101_4^2 - 215630155095/47573905171*c_0101_4 - 48040555009/47573905171, c_0011_5 + 187330445046/47573905171*c_0101_4^12 + 263758165479/47573905171*c_0101_4^11 - 755816331219/47573905171*c_0101_4^10 - 38144377650/47573905171*c_0101_4^9 + 4078289075734/47573905171*c_0101_4^8 + 2860855311473/47573905171*c_0101_4^7 - 5160383954257/47573905171*c_0101_4^6 - 6986279775021/47573905171*c_0101_4^5 - 543054186803/47573905171*c_0101_4^4 + 2378721700503/47573905171*c_0101_4^3 + 1057474775013/47573905171*c_0101_4^2 - 168727527018/47573905171*c_0101_4 - 56569794220/47573905171, c_0101_0 - 57704104989/47573905171*c_0101_3*c_0101_4^12 - 44973260649/47573905171*c_0101_3*c_0101_4^11 + 307658965854/47573905171*c_0101_3*c_0101_4^10 - 73628600241/47573905171*c_0101_3*c_0101_4^9 - 1351782072191/47573905171*c_0101_3*c_0101_4^8 - 189531456340/47573905171*c_0101_3*c_0101_4^7 + 2768121172161/47573905171*c_0101_3*c_0101_4^6 + 1903475325173/47573905171*c_0101_3*c_0101_4^5 - 1762539631488/47573905171*c_0101_3*c_0101_4^4 - 2188275523516/47573905171*c_0101_3*c_0101_4^3 - 348255631428/47573905171*c_0101_3*c_0101_4^2 + 457502104580/47573905171*c_0101_3*c_0101_4 + 151464421340/47573905171*c_0101_3, c_0101_3^2 - 72897457500/47573905171*c_0101_4^12 - 118487269746/47573905171*c_0101_4^11 + 269547098856/47573905171*c_0101_4^10 + 80127503370/47573905171*c_0101_4^9 - 1580067261514/47573905171*c_0101_4^8 - 1472423821896/47573905171*c_0101_4^7 + 1762609138229/47573905171*c_0101_4^6 + 3142410182336/47573905171*c_0101_4^5 + 801707366286/47573905171*c_0101_4^4 - 827849545620/47573905171*c_0101_4^3 - 615771088814/47573905171*c_0101_4^2 - 4562955571/47573905171*c_0101_4 + 11108473126/47573905171, c_0101_4^13 + c_0101_4^12 - 14/3*c_0101_4^11 + 4/3*c_0101_4^10 + 199/9*c_0101_4^9 + 58/9*c_0101_4^8 - 317/9*c_0101_4^7 - 27*c_0101_4^6 + 125/9*c_0101_4^5 + 16*c_0101_4^4 + 8/9*c_0101_4^3 - 11/3*c_0101_4^2 - 1/3*c_0101_4 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB