Magma V2.19-8 Wed Aug 21 2013 00:51:25 on localhost [Seed = 2834218439] Type ? for help. Type -D to quit. Loading file "L11a448__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a448 geometric_solution 11.73921378 oriented_manifold CS_known 0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 1 2 0132 1302 3012 0132 1 1 1 0 0 0 1 -1 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 1 4 -5 0 0 0 0 -4 0 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124414641133 1.074985422096 0 0 3 0 0132 1230 0132 2031 1 1 0 1 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 1 -1 1 0 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464652976715 0.444226851937 4 5 0 3 0132 0132 0132 2031 1 1 2 1 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 0 5 -5 0 0 0 0 0 -1 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106239898952 0.917949379419 6 2 6 1 0132 1302 3012 0132 1 1 1 2 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 1 -1 -5 5 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875585358867 1.074985422096 2 7 5 8 0132 0132 1023 0132 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.104007444126 1.481473482611 7 2 4 9 0132 0132 1023 0132 1 1 1 2 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 -4 0 0 4 4 -4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.496823643985 0.891219841517 3 3 9 10 0132 1230 0213 0132 1 1 2 1 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 -1 0 1 0 0 0 0 -1 0 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106239898952 0.917949379419 5 4 11 11 0132 0132 2031 0132 1 1 2 1 0 0 -1 1 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 -5 5 4 0 0 -4 1 0 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319229333928 0.638817087845 9 10 4 12 0213 1302 0132 0132 1 1 1 1 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 -4 4 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599676243348 0.520808035901 8 6 5 12 0213 0213 0132 1023 1 1 1 1 0 0 0 0 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 4 0 -4 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283135493108 0.456721642716 11 11 6 8 0213 2103 0132 2031 1 1 1 2 0 1 0 -1 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 5 -1 -4 0 0 0 0 0 -5 0 5 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319229333928 0.638817087845 10 10 7 7 0213 2103 0132 1302 1 1 1 2 0 1 -1 0 0 0 1 -1 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 5 -5 0 0 0 4 -4 0 -5 0 5 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319229333928 0.638817087845 12 12 8 9 1230 3012 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041226826426 1.143021548314 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0110_10'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0110_10'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : d['c_0011_8'], '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_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : negation(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' : d['1'], 's_0_7' : 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_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_1100_12']), 'c_1100_4' : d['c_1100_12'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_1100_12'], 's_3_1' : d['1'], 's_3_0' : negation(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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0110_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_9'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_9'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : negation(d['c_1100_12']), 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_11']})} 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_2, c_0011_3, c_0011_8, c_0011_9, c_0101_12, c_0110_10, c_1001_1, c_1001_2, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 21373006920097889919307147490557/457340029966512011881386497768*c_1\ 100_12^8 - 157276151653848718152343316943925/4573400299665120118813\ 86497768*c_1100_12^7 - 617665306292584905457657580675447/4573400299\ 66512011881386497768*c_1100_12^6 - 1194757665399820923294704925322869/457340029966512011881386497768*c\ _1100_12^5 - 231323117379902098033317220040261/57167503745814001485\ 173312221*c_1100_12^4 - 412312539437832012162494675862123/114335007\ 491628002970346624442*c_1100_12^3 - 1248794794967903079077407922293497/457340029966512011881386497768*c\ _1100_12^2 - 181014073973194584392240283456453/45734002996651201188\ 1386497768*c_1100_12 - 88608731129896150175187351048137/45734002996\ 6512011881386497768, c_0011_0 - 1, c_0011_10 - 4798093914371181993030/4214092915467590609731*c_1100_12^8 - 34984774716242880674610/4214092915467590609731*c_1100_12^7 - 136190808068118670486148/4214092915467590609731*c_1100_12^6 - 258436186253498315456222/4214092915467590609731*c_1100_12^5 - 396423305672015728941270/4214092915467590609731*c_1100_12^4 - 343446314883211176323038/4214092915467590609731*c_1100_12^3 - 257249306394494065339630/4214092915467590609731*c_1100_12^2 - 27335438179418281451399/4214092915467590609731*c_1100_12 - 18841261931558720210986/4214092915467590609731, c_0011_11 + 1, c_0011_12 + 1183485629198355498158/4214092915467590609731*c_1100_12^8 + 8554732883842394009371/4214092915467590609731*c_1100_12^7 + 33114105703071288889384/4214092915467590609731*c_1100_12^6 + 61876032499163041406598/4214092915467590609731*c_1100_12^5 + 94105040323846594809893/4214092915467590609731*c_1100_12^4 + 76967331289718183978659/4214092915467590609731*c_1100_12^3 + 56345565837028955719355/4214092915467590609731*c_1100_12^2 - 1775545965200255209194/4214092915467590609731*c_1100_12 - 113223902382562920283/4214092915467590609731, c_0011_2 - 1, c_0011_3 - 8803138491721243160601/4214092915467590609731*c_1100_12^8 - 64704993504326265319159/4214092915467590609731*c_1100_12^7 - 253727917326644320163872/4214092915467590609731*c_1100_12^6 - 488605651168050121873715/4214092915467590609731*c_1100_12^5 - 751942501935077843608361/4214092915467590609731*c_1100_12^4 - 658516537909011870910495/4214092915467590609731*c_1100_12^3 - 492049908852952961038714/4214092915467590609731*c_1100_12^2 - 56218983897079465223497/4214092915467590609731*c_1100_12 - 34003651673547972891547/4214092915467590609731, c_0011_8 + 43087425301027943308/4214092915467590609731*c_1100_12^8 + 81318217420137568573/4214092915467590609731*c_1100_12^7 - 384972123150566178526/4214092915467590609731*c_1100_12^6 - 3747793115141389620485/4214092915467590609731*c_1100_12^5 - 7324461169727928113191/4214092915467590609731*c_1100_12^4 - 14745015892681246649661/4214092915467590609731*c_1100_12^3 - 13143109359765199550676/4214092915467590609731*c_1100_12^2 - 12023110911426063505640/4214092915467590609731*c_1100_12 - 1819954934244717423087/4214092915467590609731, c_0011_9 - 1, c_0101_12 - 979103879043657406688/4214092915467590609731*c_1100_12^8 - 7103365160488909911861/4214092915467590609731*c_1100_12^7 - 27783060277810009109659/4214092915467590609731*c_1100_12^6 - 53225948041553023283570/4214092915467590609731*c_1100_12^5 - 83384942301146077001911/4214092915467590609731*c_1100_12^4 - 70047412421882278012629/4214092915467590609731*c_1100_12^3 - 51278926968315137692263/4214092915467590609731*c_1100_12^2 + 330828282051620754177/4214092915467590609731*c_1100_12 + 488741009352415862334/4214092915467590609731, c_0110_10 + 330384901797536239907/4214092915467590609731*c_1100_12^8 + 2568711260376427311335/4214092915467590609731*c_1100_12^7 + 10593818541339008611642/4214092915467590609731*c_1100_12^6 + 22369583883507892462662/4214092915467590609731*c_1100_12^5 + 35125421717378683913238/4214092915467590609731*c_1100_12^4 + 31660552028158326804258/4214092915467590609731*c_1100_12^3 + 21656255549035573441612/4214092915467590609731*c_1100_12^2 - 165829241818066052819/4214092915467590609731*c_1100_12 - 2384949662475646837193/4214092915467590609731, c_1001_1 + 147784737929852868889/4214092915467590609731*c_1100_12^8 + 1270704430898672923623/4214092915467590609731*c_1100_12^7 + 5797111195839211034466/4214092915467590609731*c_1100_12^6 + 15025668627445881444783/4214092915467590609731*c_1100_12^5 + 28758613665834941409281/4214092915467590609731*c_1100_12^4 + 37939327968125215993763/4214092915467590609731*c_1100_12^3 + 33020820591290089326856/4214092915467590609731*c_1100_12^2 + 19210242349006908933451/4214092915467590609731*c_1100_12 + 7769871833390021885477/4214092915467590609731, c_1001_2 - 147784737929852868889/4214092915467590609731*c_1100_12^8 - 1270704430898672923623/4214092915467590609731*c_1100_12^7 - 5797111195839211034466/4214092915467590609731*c_1100_12^6 - 15025668627445881444783/4214092915467590609731*c_1100_12^5 - 28758613665834941409281/4214092915467590609731*c_1100_12^4 - 37939327968125215993763/4214092915467590609731*c_1100_12^3 - 33020820591290089326856/4214092915467590609731*c_1100_12^2 - 19210242349006908933451/4214092915467590609731*c_1100_12 - 3555778917922431275746/4214092915467590609731, c_1100_12^9 + 882/121*c_1100_12^8 + 3435/121*c_1100_12^7 + 6521/121*c_1100_12^6 + 10006/121*c_1100_12^5 + 8606/121*c_1100_12^4 + 53*c_1100_12^3 + 523/121*c_1100_12^2 + 422/121*c_1100_12 - 37/121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB