Magma V2.19-8 Tue Aug 20 2013 16:16:43 on localhost [Seed = 139039939] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1008 geometric_solution 4.89167609 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 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 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 0.392991157598 0.488230189852 0 4 0 4 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.828812612224 1.000067081189 5 6 3 0 0132 0132 2031 0132 0 0 0 0 0 1 0 -1 -1 0 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 -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 0.651337060211 0.435762787606 6 5 0 2 2310 3201 0132 1302 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 -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 0.651337060211 0.435762787606 1 1 4 4 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365109039570 0.039501064025 2 5 3 5 0132 2310 2310 3201 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 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 0 0 0 0.236158022157 1.373474453868 6 2 3 6 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939413581415 0.709562103083 ==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' : negation(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_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], '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_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_4']), '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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1308525140679375157/393061524804295*c_0110_4^18 + 1741067488662987820799/113594780668441255*c_0110_4^16 - 7428594277550189805547/227189561336882510*c_0110_4^14 + 4674182017912368958564/113594780668441255*c_0110_4^12 - 7140827289765117258183/227189561336882510*c_0110_4^10 + 3222497771466783984387/227189561336882510*c_0110_4^8 - 1235282310631326024203/227189561336882510*c_0110_4^6 + 894072150275786799853/227189561336882510*c_0110_4^4 - 97561187341770750381/45437912267376502*c_0110_4^2 + 93557580996575972847/227189561336882510, c_0011_0 - 1, c_0011_2 + 45412798015/81802606619*c_0110_4^19 + 1100743612329810/23640953312891*c_0110_4^17 - 4591640829084815/23640953312891*c_0110_4^15 + 8807499613750430/23640953312891*c_0110_4^13 - 9764257155048963/23640953312891*c_0110_4^11 + 6188719654368288/23640953312891*c_0110_4^9 - 2159380260646196/23640953312891*c_0110_4^7 + 1025312480178328/23640953312891*c_0110_4^5 - 902460857335942/23640953312891*c_0110_4^3 + 314699635639139/23640953312891*c_0110_4, c_0101_0 - 20045527560/81802606619*c_0110_4^18 + 1036233639659/1390644312523*c_0110_4^16 - 741450625527/1390644312523*c_0110_4^14 - 95968447754/1390644312523*c_0110_4^12 - 1747156566807/1390644312523*c_0110_4^10 + 5350284262748/1390644312523*c_0110_4^8 - 5793975313004/1390644312523*c_0110_4^6 + 2799810699460/1390644312523*c_0110_4^4 + 267509413616/1390644312523*c_0110_4^2 + 123623833837/1390644312523, c_0101_1 + 830405112520/81802606619*c_0110_4^19 - 76838054136280/1390644312523*c_0110_4^17 + 193962425723861/1390644312523*c_0110_4^15 - 294198906397753/1390644312523*c_0110_4^13 + 285169158839914/1390644312523*c_0110_4^11 - 174445269366113/1390644312523*c_0110_4^9 + 70021191538332/1390644312523*c_0110_4^7 - 30890391716556/1390644312523*c_0110_4^5 + 20842311327580/1390644312523*c_0110_4^3 - 8548642293973/1390644312523*c_0110_4, c_0101_2 + 810359584960/81802606619*c_0110_4^18 - 75801820496621/1390644312523*c_0110_4^16 + 193220975098334/1390644312523*c_0110_4^14 - 294294874845507/1390644312523*c_0110_4^12 + 283422002273107/1390644312523*c_0110_4^10 - 169094985103365/1390644312523*c_0110_4^8 + 64227216225328/1390644312523*c_0110_4^6 - 28090581017096/1390644312523*c_0110_4^4 + 21109820741196/1390644312523*c_0110_4^2 - 8425018460136/1390644312523, c_0101_6 - 22445650943148/81802606619*c_0110_4^19 + 32089221314444952/23640953312891*c_0110_4^17 - 72916004100923654/23640953312891*c_0110_4^15 + 97704361370773231/23640953312891*c_0110_4^13 - 80528792269794622/23640953312891*c_0110_4^11 + 39696245584145905/23640953312891*c_0110_4^9 - 14605365061815560/23640953312891*c_0110_4^7 + 9601430506700580/23640953312891*c_0110_4^5 - 5962185822617667/23640953312891*c_0110_4^3 + 1380691917279367/23640953312891*c_0110_4, c_0110_4^20 - 1580/289*c_0110_4^18 + 3992/289*c_0110_4^16 - 6038/289*c_0110_4^14 + 5836/289*c_0110_4^12 - 3607/289*c_0110_4^10 + 1543/289*c_0110_4^8 - 751/289*c_0110_4^6 + 484/289*c_0110_4^4 - 198/289*c_0110_4^2 + 31/289 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB