Magma V2.19-8 Tue Aug 20 2013 16:17:56 on localhost [Seed = 37985990] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2178 geometric_solution 5.64258770 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 0.426796631364 0.288863981539 2 0 3 0 0132 2310 0132 0132 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 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 0.966274814966 0.798735465012 1 4 3 5 0132 0132 3012 0132 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 0 0 0 0 1.179583059332 0.977113419003 5 2 4 1 1023 1230 1023 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 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 1.179583059332 0.977113419003 6 2 3 6 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299359438620 0.315944504110 5 3 2 5 3012 1023 0132 1230 0 0 0 0 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 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 1.079097140473 0.721086280729 4 6 6 4 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.327627225659 1.007583915390 ==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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], '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_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], '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_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), '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_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 833/13*c_0101_6^5 - 1890/13*c_0101_6^3 + 350/13*c_0101_6, c_0011_0 - 1, c_0011_1 + 28/13*c_0101_6^4 - 49/13*c_0101_6^2 + 11/13, c_0011_3 + 35/13*c_0101_6^5 - 84/13*c_0101_6^3 + 43/13*c_0101_6, c_0101_0 + 7/13*c_0101_6^4 - 35/13*c_0101_6^2 + 19/13, c_0101_1 - 7/13*c_0101_6^4 + 35/13*c_0101_6^2 - 19/13, c_0101_3 - 42/13*c_0101_6^5 + 119/13*c_0101_6^3 - 62/13*c_0101_6, c_0101_6^6 - 3*c_0101_6^4 + 2*c_0101_6^2 - 1/7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 300229191/155017355*c_0101_6^13 - 783132944/31003471*c_0101_6^11 + 3717219843/155017355*c_0101_6^9 + 13996647783/155017355*c_0101_6^7 - 1406146248/31003471*c_0101_6^5 + 9021678352/155017355*c_0101_6^3 - 1900301128/155017355*c_0101_6, c_0011_0 - 1, c_0011_1 + 50153/392449*c_0101_6^12 + 658194/392449*c_0101_6^10 - 568647/392449*c_0101_6^8 - 2392160/392449*c_0101_6^6 + 1132732/392449*c_0101_6^4 - 1363892/392449*c_0101_6^2 - 28885/392449, c_0011_3 - 173838/392449*c_0101_6^13 - 2312819/392449*c_0101_6^11 + 1572121/392449*c_0101_6^9 + 8861100/392449*c_0101_6^7 - 2043410/392449*c_0101_6^5 + 3345597/392449*c_0101_6^3 - 53736/392449*c_0101_6, c_0101_0 - 52516/392449*c_0101_6^12 - 666278/392449*c_0101_6^10 + 910976/392449*c_0101_6^8 + 2445547/392449*c_0101_6^6 - 2307437/392449*c_0101_6^4 + 1362360/392449*c_0101_6^2 - 476206/392449, c_0101_1 - 103078/392449*c_0101_6^12 - 1345967/392449*c_0101_6^10 + 1259361/392449*c_0101_6^8 + 4868538/392449*c_0101_6^6 - 2480761/392449*c_0101_6^4 + 2919471/392449*c_0101_6^2 - 537402/392449, c_0101_3 + 139573/392449*c_0101_6^13 + 1805472/392449*c_0101_6^11 - 1927370/392449*c_0101_6^9 - 6402895/392449*c_0101_6^7 + 3884362/392449*c_0101_6^5 - 3974007/392449*c_0101_6^3 + 1548654/392449*c_0101_6, c_0101_6^14 + 13*c_0101_6^12 - 13*c_0101_6^10 - 47*c_0101_6^8 + 26*c_0101_6^6 - 27*c_0101_6^4 + 7*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB