Magma V2.19-8 Wed Aug 21 2013 00:58:51 on localhost [Seed = 2716318431] Type ? for help. Type -D to quit. Loading file "L13n5992__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5992 geometric_solution 12.48647059 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 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 0.679971057444 1.152594976521 0 5 7 6 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168390218624 0.666560811196 8 0 6 9 0132 0132 0213 0132 1 1 0 0 0 0 0 0 -1 0 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 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 0.536634232481 1.304272124183 10 11 9 0 0132 0132 0132 0132 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 1 0 -1 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 0.400508892587 0.411899231650 8 12 0 6 3012 0132 0132 0213 1 1 1 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 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 0.532022926295 0.856826649089 8 1 12 9 1023 0132 0132 1230 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 1 -1 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 0.424552260601 0.997778473991 10 2 1 4 2103 0213 0132 0213 1 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 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 0.352983685079 1.045246015777 9 11 12 1 1230 1230 0321 0132 1 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 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 0.294145899419 0.929000046914 2 5 11 4 0132 1023 2103 1230 1 1 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 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 -0.001614499680 0.710723631152 5 7 2 3 3012 3012 0132 0132 1 1 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 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 0 0 0.371625107058 1.060866392264 3 12 6 11 0132 3012 2103 2103 1 1 1 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 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 0.375599348384 1.179620928505 8 3 7 10 2103 0132 3012 2103 1 1 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 0 0 0 0 0 0 0 0 -1 0 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 0.472237487600 0.529497563511 10 4 7 5 1230 0132 0321 0132 1 1 0 1 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 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 0 0 0.333963686055 0.578192212422 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_1001_12'], 'c_1100_6' : d['c_1001_12'], 'c_1100_1' : d['c_1001_12'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_1010_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : negation(d['c_0110_11']), '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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_9'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : negation(d['c_0110_11']), 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : d['c_0110_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_12, c_0011_7, c_0011_9, c_0101_0, c_0101_11, c_0101_12, c_0101_3, c_0110_11, c_1001_12, c_1001_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 8650548858344812921115264201/45693127128214335695083690246*c_1010_6\ ^11 + 8107330490043806777262753347/91386254256428671390167380492*c_\ 1010_6^10 + 40088334042891816966960136377/4569312712821433569508369\ 0246*c_1010_6^9 - 21821286593622107167300277799/5375662015084039493\ 539257676*c_1010_6^8 - 590096809505399490125864053/5613406281107412\ 2475532789*c_1010_6^7 - 309658630366653378934451438379/913862542564\ 28671390167380492*c_1010_6^6 + 301062044440789810065210855184/22846\ 563564107167847541845123*c_1010_6^5 + 287744243236684850013290319939/5375662015084039493539257676*c_1010_\ 6^4 + 2311023478519448664060107566861/22846563564107167847541845123\ *c_1010_6^3 + 10026966092277416332406659451935/91386254256428671390\ 167380492*c_1010_6^2 + 981285624154942857902221878729/8307841296038\ 970126378852772*c_1010_6 + 6968529703104693308800762742961/91386254\ 256428671390167380492, c_0011_0 - 1, c_0011_10 - 6723132471779/200879556967723*c_1010_6^11 + 17729983592850/200879556967723*c_1010_6^10 + 792843490438/200879556967723*c_1010_6^9 - 163770574143406/200879556967723*c_1010_6^8 - 26151420970477/200879556967723*c_1010_6^7 + 127965006650312/200879556967723*c_1010_6^6 + 308285110194507/200879556967723*c_1010_6^5 + 1126162610057159/200879556967723*c_1010_6^4 + 751290208213798/200879556967723*c_1010_6^3 + 794468621608068/200879556967723*c_1010_6^2 + 967153874612446/200879556967723*c_1010_6 - 743522218874362/200879556967723, c_0011_12 - 742871998439/200879556967723*c_1010_6^11 + 3914327354983/200879556967723*c_1010_6^10 - 7762813124691/200879556967723*c_1010_6^9 - 8235691938738/200879556967723*c_1010_6^8 + 34319794543596/200879556967723*c_1010_6^7 - 32914303692987/200879556967723*c_1010_6^6 + 43490407388590/200879556967723*c_1010_6^5 + 63325472141415/200879556967723*c_1010_6^4 - 164071393618341/200879556967723*c_1010_6^3 + 168706402202257/200879556967723*c_1010_6^2 - 101851350786446/200879556967723*c_1010_6 - 148759523611326/200879556967723, c_0011_7 - 5376688044828/200879556967723*c_1010_6^11 + 12985377582564/200879556967723*c_1010_6^10 + 4078777015465/200879556967723*c_1010_6^9 - 131200801326351/200879556967723*c_1010_6^8 - 50922411152120/200879556967723*c_1010_6^7 + 104170481896123/200879556967723*c_1010_6^6 + 279749425691860/200879556967723*c_1010_6^5 + 967386854116708/200879556967723*c_1010_6^4 + 756112701113325/200879556967723*c_1010_6^3 + 674431784986500/200879556967723*c_1010_6^2 + 799667556022107/200879556967723*c_1010_6 - 517124998370675/200879556967723, c_0011_9 + 3424116385179/200879556967723*c_1010_6^11 - 9175685190299/200879556967723*c_1010_6^10 + 2929631311268/200879556967723*c_1010_6^9 + 72052617258490/200879556967723*c_1010_6^8 + 23501676018567/200879556967723*c_1010_6^7 - 13862860031149/200879556967723*c_1010_6^6 - 191994968989577/200879556967723*c_1010_6^5 - 589468164312951/200879556967723*c_1010_6^4 - 515874097688069/200879556967723*c_1010_6^3 - 590373595962432/200879556967723*c_1010_6^2 - 410846899241816/200879556967723*c_1010_6 + 126599359077291/200879556967723, c_0101_0 - 1, c_0101_11 + 8143382933575/200879556967723*c_1010_6^11 - 20495073417543/200879556967723*c_1010_6^10 - 1987085753860/200879556967723*c_1010_6^9 + 193116566963128/200879556967723*c_1010_6^8 + 62127231481591/200879556967723*c_1010_6^7 - 131934427448293/200879556967723*c_1010_6^6 - 377789087775781/200879556967723*c_1010_6^5 - 1408316232089014/200879556967723*c_1010_6^4 - 1153123546349513/200879556967723*c_1010_6^3 - 1360117358656786/200879556967723*c_1010_6^2 - 1422057050845359/200879556967723*c_1010_6 + 651693738778969/200879556967723, c_0101_12 - 11559672920520/200879556967723*c_1010_6^11 + 26655030927161/200879556967723*c_1010_6^10 + 13301574333851/200879556967723*c_1010_6^9 - 290638322355702/200879556967723*c_1010_6^8 - 118533425541216/200879556967723*c_1010_6^7 + 216654702775519/200879556967723*c_1010_6^6 + 561435746070959/200879556967723*c_1010_6^5 + 2126806075523658/200879556967723*c_1010_6^4 + 1849566964705568/200879556967723*c_1010_6^3 + 1809158441096629/200879556967723*c_1010_6^2 + 2006908795471164/200879556967723*c_1010_6 - 1038820998901367/200879556967723, c_0101_3 + 2684613193706/200879556967723*c_1010_6^11 - 5183712721690/200879556967723*c_1010_6^10 - 5710884612987/200879556967723*c_1010_6^9 + 68279606043760/200879556967723*c_1010_6^8 + 47770582739270/200879556967723*c_1010_6^7 - 35086421777385/200879556967723*c_1010_6^6 - 140731267198977/200879556967723*c_1010_6^5 - 569572470002490/200879556967723*c_1010_6^4 - 507040799287123/200879556967723*c_1010_6^3 - 504230143015862/200879556967723*c_1010_6^2 - 682506886481946/200879556967723*c_1010_6 + 171999397753557/200879556967723, c_0110_11 - 10831464886100/200879556967723*c_1010_6^11 + 27419868862291/200879556967723*c_1010_6^10 + 12105887131/200879556967723*c_1010_6^9 - 246897467195343/200879556967723*c_1010_6^8 - 92368813605469/200879556967723*c_1010_6^7 + 128822112939914/200879556967723*c_1010_6^6 + 591919889751004/200879556967723*c_1010_6^5 + 1860420025775461/200879556967723*c_1010_6^4 + 1475381256926250/200879556967723*c_1010_6^3 + 1879922411964820/200879556967723*c_1010_6^2 + 1725121190049381/200879556967723*c_1010_6 - 742129697666962/200879556967723, c_1001_12 - 8695513623603/200879556967723*c_1010_6^11 + 24298846517884/200879556967723*c_1010_6^10 - 7387028213149/200879556967723*c_1010_6^9 - 191290882337852/200879556967723*c_1010_6^8 - 37172785813433/200879556967723*c_1010_6^7 + 123159464394741/200879556967723*c_1010_6^6 + 433506556574297/200879556967723*c_1010_6^5 + 1331671999316893/200879556967723*c_1010_6^4 + 1024882788543825/200879556967723*c_1010_6^3 + 1321884523009185/200879556967723*c_1010_6^2 + 1087771790180199/200879556967723*c_1010_6 - 537751228986180/200879556967723, c_1001_2 - 2501774052996/200879556967723*c_1010_6^11 + 6433412636276/200879556967723*c_1010_6^10 + 1322707603258/200879556967723*c_1010_6^9 - 63028986327742/200879556967723*c_1010_6^8 - 12535836831487/200879556967723*c_1010_6^7 + 58633823722025/200879556967723*c_1010_6^6 + 122851950627495/200879556967723*c_1010_6^5 + 379147203269267/200879556967723*c_1010_6^4 + 261489581915956/200879556967723*c_1010_6^3 + 327351174914451/200879556967723*c_1010_6^2 + 258487090348532/200879556967723*c_1010_6 - 201670730302244/200879556967723, c_1010_6^12 - c_1010_6^11 - 4*c_1010_6^10 + 23*c_1010_6^9 + 44*c_1010_6^8 - 3*c_1010_6^7 - 74*c_1010_6^6 - 249*c_1010_6^5 - 406*c_1010_6^4 - 366*c_1010_6^3 - 385*c_1010_6^2 - 152*c_1010_6 + 143 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.660 seconds, Total memory usage: 32.09MB