Magma V2.19-8 Wed Aug 21 2013 00:57:11 on localhost [Seed = 2412352858] Type ? for help. Type -D to quit. Loading file "L13n3926__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3926 geometric_solution 12.32611840 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 1 -1 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 0.682754225787 0.536054365047 0 0 5 4 0132 1302 0132 0132 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093898705082 0.711412007381 6 0 6 7 0132 0132 3012 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881360791030 0.741078300425 8 9 8 0 0132 0132 2031 0132 1 1 1 1 0 -1 1 0 -1 0 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 -2 3 -1 -3 0 3 0 0 -1 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416568160921 0.827684201704 10 6 1 11 0132 0213 0132 0132 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403711163490 1.359405778589 12 12 10 1 0132 1230 3012 0132 1 1 0 1 0 0 0 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 0 0 0 0 0 -1 1 0 -2 0 2 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 0.313865331730 1.256508576976 2 2 4 12 0132 1230 0213 2031 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 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 0.210624962417 1.315666132054 12 9 2 8 3120 0213 0132 2031 1 1 1 1 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549150026584 0.682713327297 3 7 10 3 0132 1302 0132 1302 1 1 1 1 0 1 0 -1 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 0 3 0 -3 3 0 0 -3 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441964318788 0.639992668906 11 3 7 11 1023 0132 0213 2310 1 1 1 1 0 1 0 -1 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 2 0 -2 0 0 0 0 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404100774909 0.711492691511 4 5 11 8 0132 1230 1230 0132 1 1 1 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 0 0 0 0 0 -2 2 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 0.993995410722 0.497349637878 9 9 4 10 3201 1023 0132 3012 1 1 1 1 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 2 0 0 -2 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744003817813 1.523658737753 5 6 5 7 0132 1302 3012 3120 1 1 1 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 0 0 0 2 0 1 -3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812877477615 0.749114446718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0011_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1145920374759627963/16946656706716880*c_1001_4^11 + 4995882651010287171/16946656706716880*c_1001_4^10 - 19147063964491168203/16946656706716880*c_1001_4^9 + 67464183011624238351/16946656706716880*c_1001_4^8 - 135569804623428100179/16946656706716880*c_1001_4^7 + 22726190981147514403/2118332088339610*c_1001_4^6 - 4772513703487606373/385151288789020*c_1001_4^5 + 4831739625829067949/498431079609320*c_1001_4^4 - 11772933550836543257/3389331341343376*c_1001_4^3 - 23036208082199096459/16946656706716880*c_1001_4^2 + 1527080489924254449/996862159218640*c_1001_4 - 748498460939345209/1694665670671688, c_0011_0 - 1, c_0011_10 + 3951434589/42392077013*c_1001_4^11 - 21489866198/42392077013*c_1001_4^10 + 84481440052/42392077013*c_1001_4^9 - 301286693209/42392077013*c_1001_4^8 + 710337363222/42392077013*c_1001_4^7 - 1097620896149/42392077013*c_1001_4^6 + 118204993941/3853825183*c_1001_4^5 - 70159555316/2493651589*c_1001_4^4 + 618389939074/42392077013*c_1001_4^3 + 101728226029/42392077013*c_1001_4^2 - 16336297573/2493651589*c_1001_4 + 120721245443/42392077013, c_0011_11 + 3131172630/42392077013*c_1001_4^11 - 21579198507/42392077013*c_1001_4^10 + 84523200166/42392077013*c_1001_4^9 - 306667716923/42392077013*c_1001_4^8 + 799998127822/42392077013*c_1001_4^7 - 1302220414327/42392077013*c_1001_4^6 + 143691461897/3853825183*c_1001_4^5 - 94336059932/2493651589*c_1001_4^4 + 972943420983/42392077013*c_1001_4^3 - 139086839847/42392077013*c_1001_4^2 - 13182949573/2493651589*c_1001_4 + 122240112056/42392077013, c_0011_12 - 68986572495/169568308052*c_1001_4^11 + 350231737/227303362*c_1001_4^10 - 998988224447/169568308052*c_1001_\ 4^9 + 869213662022/42392077013*c_1001_4^8 - 6122396363693/169568308052*c_1001_4^7 + 7267447166755/169568308052*c_1001_4^6 - 749560285763/15415300732*c_1001_4^5 + 289291910075/9974606356*c_1001_4^4 - 78442538017/42392077013*c_1001_4^3 - 1779581211527/169568308052*c_1001_4^2 + 18293816539/4987303178*c_1001_4 - 37747817529/84784154026, c_0011_7 - 4870847703/169568308052*c_1001_4^11 + 8219796623/84784154026*c_1001_4^10 - 57840088723/169568308052*c_1001_4^9 + 51197522876/42392077013*c_1001_4^8 - 285985709313/169568308052*c_1001_4^7 + 177902936127/169568308052*c_1001_4^6 - 25380630975/15415300732*c_1001_4^5 + 6891784099/9974606356*c_1001_4^4 + 59478344752/42392077013*c_1001_4^3 - 3745000067/169568308052*c_1001_4^2 - 5273079685/4987303178*c_1001_4 + 88058399199/84784154026, c_0101_0 - 1, c_0101_1 + 25144247823/169568308052*c_1001_4^11 - 51070064059/84784154026*c_1001_4^10 + 383052788091/169568308052*c_1001_4^9 - 334677600953/42392077013*c_1001_4^8 + 2473453491049/169568308052*c_1001_4^7 - 2894911349999/169568308052*c_1001_4^6 + 279369024339/15415300732*c_1001_4^5 - 112986738743/9974606356*c_1001_4^4 - 25853670952/42392077013*c_1001_4^3 + 1098203478655/169568308052*c_1001_4^2 - 9003026425/4987303178*c_1001_4 - 52272799991/84784154026, c_0101_10 + 13307271942/42392077013*c_1001_4^11 - 67501648150/42392077013*c_1001_4^10 + 261237145006/42392077013*c_1001_4^9 - 931731493356/42392077013*c_1001_4^8 + 2092963461333/42392077013*c_1001_4^7 - 3095631751644/42392077013*c_1001_4^6 + 333869581917/3853825183*c_1001_4^5 - 193673963435/2493651589*c_1001_4^4 + 1644249860984/42392077013*c_1001_4^3 + 80561576919/42392077013*c_1001_4^2 - 32793379089/2493651589*c_1001_4 + 214688748421/42392077013, c_0101_3 - 45088145715/84784154026*c_1001_4^11 + 103934757455/42392077013*c_1001_4^10 - 791715679603/84784154026*c_1001_4^9 + 1402626913008/42392077013*c_1001_4^8 - 5849622321485/84784154026*c_1001_4^7 + 7978022736335/84784154026*c_1001_4^6 - 836690674045/7707650366*c_1001_4^5 + 442754849973/4987303178*c_1001_4^4 - 1397971898584/42392077013*c_1001_4^3 - 930987093321/84784154026*c_1001_4^2 + 38497546790/2493651589*c_1001_4 - 147543303294/42392077013, c_0101_5 - 53474676699/169568308052*c_1001_4^11 + 137208193469/84784154026*c_1001_4^10 - 1059071348963/169568308052*c_1001_4^9 + 942632011085/42392077013*c_1001_4^8 - 8514795455225/169568308052*c_1001_4^7 + 12494276591903/169568308052*c_1001_4^6 - 1326954847691/15415300732*c_1001_4^5 + 770969199735/9974606356*c_1001_4^4 - 1565479689105/42392077013*c_1001_4^3 - 948769023383/169568308052*c_1001_4^2 + 73028823895/4987303178*c_1001_4 - 433649915007/84784154026, c_1001_0 - 14538667485/84784154026*c_1001_4^11 + 32137210838/42392077013*c_1001_4^10 - 242852630639/84784154026*c_1001_4^9 + 428203317105/42392077013*c_1001_4^8 - 1711375238431/84784154026*c_1001_4^7 + 2205974122109/84784154026*c_1001_4^6 - 219648231345/7707650366*c_1001_4^5 + 98402033185/4987303178*c_1001_4^4 - 102235781429/42392077013*c_1001_4^3 - 723883521541/84784154026*c_1001_4^2 + 17696113021/2493651589*c_1001_4 - 52076073602/42392077013, c_1001_10 + 6818279115/169568308052*c_1001_4^11 - 21418144037/84784154026*c_1001_4^10 + 172436810763/169568308052*c_1001_4^9 - 155401284482/42392077013*c_1001_4^8 + 1579828974041/169568308052*c_1001_4^7 - 2639743553679/169568308052*c_1001_4^6 + 293485019251/15415300732*c_1001_4^5 - 183980913551/9974606356*c_1001_4^4 + 512035293126/42392077013*c_1001_4^3 - 331485136657/169568308052*c_1001_4^2 - 16257945183/4987303178*c_1001_4 + 136086959401/84784154026, c_1001_4^12 - 16/3*c_1001_4^11 + 21*c_1001_4^10 - 226/3*c_1001_4^9 + 529/3*c_1001_4^8 - 829/3*c_1001_4^7 + 1027/3*c_1001_4^6 - 327*c_1001_4^5 + 590/3*c_1001_4^4 - 101/3*c_1001_4^3 - 128/3*c_1001_4^2 + 30*c_1001_4 - 20/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.490 Total time: 0.710 seconds, Total memory usage: 32.09MB