Magma V2.19-8 Wed Aug 21 2013 00:52:04 on localhost [Seed = 2017357096] Type ? for help. Type -D to quit. Loading file "L11n56__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n56 geometric_solution 12.07406134 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 0 0 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 -1 1 0 0 1 -1 -1 1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702737824826 0.784824479958 0 2 3 5 0132 0321 0321 0132 1 0 1 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 0 0 0 3 -1 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541841121311 0.455132343391 6 0 4 1 0132 0132 0132 0321 1 0 1 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957580189991 1.340779659686 7 8 1 0 0132 0132 0321 0132 1 0 1 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 -1 0 1 0 0 1 -1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367508877415 0.537008624224 9 10 0 2 0132 0132 0132 0132 1 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 1 -1 0 -1 0 1 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 -0.277183876331 0.929699480961 7 8 1 11 2103 0213 0132 0132 1 0 1 1 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 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543482110241 0.673037383498 2 9 9 10 0132 3120 1230 3120 0 0 0 1 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 -1 1 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 0.722816123669 0.929699480961 3 11 5 10 0132 3120 2103 0132 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 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 0.038709321793 1.408110385477 12 3 5 12 0132 0132 0213 2103 1 1 0 1 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 1 0 -1 1 0 -1 0 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555268733379 1.045581828126 4 6 12 6 0132 3120 1023 3012 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 -1 1 1 0 0 -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 0.294509259323 0.987810363125 6 4 7 11 3120 0132 0132 3120 1 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 -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 -0.277183876331 0.929699480961 10 7 5 12 3120 3120 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042665218049 1.284016939530 8 11 9 8 0132 1302 1023 2103 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 -1 0 1 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 0.555268733379 1.045581828126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_5']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : 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_11'], 'c_0101_10' : negation(d['c_0101_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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_1001_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' : negation(d['c_0101_12']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0011_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_2']})} 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_5, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 88230403248349/17104008854950028*c_1001_3^9 - 359513762035947/8552004427475014*c_1001_3^8 - 2339837886355873/17104008854950028*c_1001_3^7 - 19197640374533/462270509593244*c_1001_3^6 + 945267283386201/4276002213737507*c_1001_3^5 + 5045660225504433/8552004427475014*c_1001_3^4 + 3958361558056287/8552004427475014*c_1001_3^3 - 6573410079557449/8552004427475014*c_1001_3^2 - 8475566307188813/17104008854950028*c_1001_3 - 3162740475661399/4276002213737507, c_0011_0 - 1, c_0011_10 - 50919396832/768742532583*c_1001_3^9 - 365695340758/768742532583*c_1001_3^8 - 1006587544508/768742532583*c_1001_3^7 + 543178397120/768742532583*c_1001_3^6 + 594841006988/256247510861*c_1001_3^5 + 1651884200464/256247510861*c_1001_3^4 - 1036207110908/768742532583*c_1001_3^3 - 6581668682914/768742532583*c_1001_3^2 - 3917515891760/768742532583*c_1001_3 - 302831179894/256247510861, c_0011_11 - 3442639049/256247510861*c_1001_3^9 - 31607453747/256247510861*c_1001_3^8 - 114585394988/256247510861*c_1001_3^7 - 77114627277/256247510861*c_1001_3^6 + 258744285126/256247510861*c_1001_3^5 + 561630373247/256247510861*c_1001_3^4 + 489437087382/256247510861*c_1001_3^3 - 742360981761/256247510861*c_1001_3^2 - 1107601234966/256247510861*c_1001_3 - 330077955993/256247510861, c_0011_12 - 3499362345/256247510861*c_1001_3^9 - 26356716037/256247510861*c_1001_3^8 - 75994789151/256247510861*c_1001_3^7 + 22890001986/256247510861*c_1001_3^6 + 141000159813/256247510861*c_1001_3^5 + 260847708250/256247510861*c_1001_3^4 - 11117206015/256247510861*c_1001_3^3 - 507219865574/256247510861*c_1001_3^2 - 215843685619/256247510861*c_1001_3 + 69964139862/256247510861, c_0011_5 - 6729974523/256247510861*c_1001_3^9 - 48905893799/256247510861*c_1001_3^8 - 135325990829/256247510861*c_1001_3^7 + 75365263682/256247510861*c_1001_3^6 + 287579642441/256247510861*c_1001_3^5 + 671518765478/256247510861*c_1001_3^4 - 203135823039/256247510861*c_1001_3^3 - 911366031720/256247510861*c_1001_3^2 - 570170399644/256247510861*c_1001_3 + 119174902724/256247510861, c_0101_0 + 10290170093/256247510861*c_1001_3^9 + 70588078967/256247510861*c_1001_3^8 + 178445796984/256247510861*c_1001_3^7 - 184720808798/256247510861*c_1001_3^6 - 358213081287/256247510861*c_1001_3^5 - 919087222432/256247510861*c_1001_3^4 + 472242293914/256247510861*c_1001_3^3 + 1246178267144/256247510861*c_1001_3^2 + 598814179540/256247510861*c_1001_3 - 42028908316/256247510861, c_0101_1 - 1, c_0101_11 - 8118778820/256247510861*c_1001_3^9 - 67459683142/256247510861*c_1001_3^8 - 225423404118/256247510861*c_1001_3^7 - 89072726716/256247510861*c_1001_3^6 + 394225133426/256247510861*c_1001_3^5 + 1097392523895/256247510861*c_1001_3^4 + 746527976014/256247510861*c_1001_3^3 - 1161593488835/256247510861*c_1001_3^2 - 1537044889923/256247510861*c_1001_3 - 792117571255/256247510861, c_0101_12 + 19015/10234753*c_1001_3^9 + 407518/10234753*c_1001_3^8 + 2314310/10234753*c_1001_3^7 + 5153120/10234753*c_1001_3^6 - 3281247/10234753*c_1001_3^5 - 9648511/10234753*c_1001_3^4 - 23675224/10234753*c_1001_3^3 + 11535127/10234753*c_1001_3^2 + 25622600/10234753*c_1001_3 + 13836175/10234753, c_0101_2 + 23064813197/768742532583*c_1001_3^9 + 147052074010/768742532583*c_1001_3^8 + 110531490260/256247510861*c_1001_3^7 - 193831305176/256247510861*c_1001_3^6 - 670493650261/768742532583*c_1001_3^5 - 799467494573/256247510861*c_1001_3^4 + 1979970401944/768742532583*c_1001_3^3 + 557594141047/256247510861*c_1001_3^2 + 704730150646/256247510861*c_1001_3 + 47823754231/768742532583, c_1001_0 + 10511967801/256247510861*c_1001_3^9 + 81697557277/256247510861*c_1001_3^8 + 251707104642/256247510861*c_1001_3^7 + 4185521995/256247510861*c_1001_3^6 - 454398954760/256247510861*c_1001_3^5 - 1234402986126/256247510861*c_1001_3^4 - 291423806276/256247510861*c_1001_3^3 + 1440769361904/256247510861*c_1001_3^2 + 1373374150709/256247510861*c_1001_3 + 362406636586/256247510861, c_1001_1 + 4197645307/256247510861*c_1001_3^9 + 30856696063/256247510861*c_1001_3^8 + 89984194766/256247510861*c_1001_3^7 - 19296330492/256247510861*c_1001_3^6 - 124848709860/256247510861*c_1001_3^5 - 442568265313/256247510861*c_1001_3^4 + 115951988740/256247510861*c_1001_3^3 + 358246532178/256247510861*c_1001_3^2 + 503033947320/256247510861*c_1001_3 + 27138125420/256247510861, c_1001_3^10 + 8*c_1001_3^9 + 26*c_1001_3^8 + 8*c_1001_3^7 - 37*c_1001_3^6 - 130*c_1001_3^5 - 70*c_1001_3^4 + 102*c_1001_3^3 + 178*c_1001_3^2 + 106*c_1001_3 + 37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB