Magma V2.19-8 Tue Aug 20 2013 23:50:56 on localhost [Seed = 3035815866] Type ? for help. Type -D to quit. Loading file "L13a4218__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4218 geometric_solution 9.39883105 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 0 -1 0 0 0 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773419709719 0.318902395204 0 4 5 3 0132 2103 0132 1302 1 1 1 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 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365066234746 0.180554052487 6 0 6 5 0132 0132 3012 1302 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 1 0 4 0 -4 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 0.349791875506 0.629535846762 7 7 1 0 0132 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710099590380 0.562583344358 8 1 0 9 0132 2103 0132 0132 1 1 1 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 1 -1 0 0 0 0 -1 0 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411043147729 0.624555780881 10 11 2 1 0132 0132 2031 0132 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 0 0 0 3 0 -3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875450903429 0.559777659077 2 2 11 9 0132 1230 1230 1023 1 1 0 1 0 -1 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 0 0 0 0 4 -4 0 -4 0 0 4 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793821569901 0.768583343332 3 7 3 7 0132 2310 2310 3201 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 -0.992222035332 0.345415356222 4 11 10 10 0132 1230 2031 0132 1 1 0 1 0 -1 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 3 -3 0 0 0 0 0 4 -3 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377953407281 0.877540438969 10 11 4 6 1230 2031 0132 1023 1 1 0 1 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 3 1 -4 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 0.241062687117 1.662271793370 5 9 8 8 0132 3012 0132 1302 1 1 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 0 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790481415613 0.467922345014 9 5 8 6 1302 0132 3012 3012 1 1 1 0 0 0 0 0 0 0 1 -1 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 0 1 -1 -1 0 -3 4 -3 3 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.668456893584 0.559220729053 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : 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_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_1100_9' : negation(d['c_0110_11']), 'c_1100_8' : d['c_0101_8'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0110_11']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0110_11']), 'c_1100_3' : negation(d['c_0110_11']), 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0110_11']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0110_11'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0011_9']), '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'], '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_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6, c_0101_8, c_0110_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 682833210207423062586434266360315729/198583572343817804737182232502\ *c_0110_11^16 - 34458667978568596422375328219551750049/119150143406\ 2906828423093395012*c_0110_11^15 + 45769486064358684121205255972207782251/3971671446876356094743644650\ 04*c_0110_11^14 - 86404624142236049409467630069888003266/2978753585\ 15726707105773348753*c_0110_11^13 + 615086890331224140540120425671398361183/119150143406290682842309339\ 5012*c_0110_11^12 - 821363308864597709847649967869780422749/1191501\ 434062906828423093395012*c_0110_11^11 + 286277898159223638493044837937416281925/397167144687635609474364465\ 004*c_0110_11^10 - 242945205899061786363642273052507786117/39716714\ 4687635609474364465004*c_0110_11^9 + 257544076214378802629096984880775876657/595750717031453414211546697\ 506*c_0110_11^8 - 101982988572026199495172684007405072099/397167144\ 687635609474364465004*c_0110_11^7 + 207292832105483665042104143135373168/1627734199539490202763788791*c\ _0110_11^6 - 20923018175247610306462821238115436081/397167144687635\ 609474364465004*c_0110_11^5 + 1091821654261079794040098279504626595\ 7/595750717031453414211546697506*c_0110_11^4 - 1492742855068566685638443940839520851/29787535851572670710577334875\ 3*c_0110_11^3 + 1214924015849888387409544048455413311/1191501434062\ 906828423093395012*c_0110_11^2 - 7502379091129937486645232658968941\ 3/595750717031453414211546697506*c_0110_11 + 2827721171516215833721641251297915/1191501434062906828423093395012, c_0011_0 - 1, c_0011_10 - 7139235369011838784130388807/36373948593061233581313716*c_0\ 110_11^16 + 15421872028214970402063620586/9093487148265308395328429\ *c_0110_11^15 - 252057262284300270668622191073/36373948593061233581\ 313716*c_0110_11^14 + 648656164300414504768469796779/36373948593061\ 233581313716*c_0110_11^13 - 587942968260665500751480854609/18186974\ 296530616790656858*c_0110_11^12 + 397859503554554612533383602982/90\ 93487148265308395328429*c_0110_11^11 - 418418318197213284400862508493/9093487148265308395328429*c_0110_11^\ 10 + 1414717108366424717950236285817/36373948593061233581313716*c_0\ 110_11^9 - 986559064131580406570084213769/3637394859306123358131371\ 6*c_0110_11^8 + 573426630721327206217757339865/36373948593061233581\ 313716*c_0110_11^7 - 275092498640156669115778080929/363739485930612\ 33581313716*c_0110_11^6 + 107697180739763653039840568011/3637394859\ 3061233581313716*c_0110_11^5 - 8663923615223575633513308882/9093487\ 148265308395328429*c_0110_11^4 + 8602459025223081647426866807/36373\ 948593061233581313716*c_0110_11^3 - 1298955209943321907500216965/36373948593061233581313716*c_0110_11^2 + 51787079601329425606956429/36373948593061233581313716*c_0110_11 + 27895452630959787573356553/36373948593061233581313716, c_0011_3 - 29476079016699744752158367961/36373948593061233581313716*c_0\ 110_11^16 + 62714919050483219975294642578/9093487148265308395328429\ *c_0110_11^15 - 1013207617733091004397130360143/3637394859306123358\ 1313716*c_0110_11^14 + 2589372635049245766656865931337/363739485930\ 61233581313716*c_0110_11^13 - 2343868407394759305132424395121/18186\ 974296530616790656858*c_0110_11^12 + 1595433389752492404097890806305/9093487148265308395328429*c_0110_11\ ^11 - 1703874586903280226100434643606/9093487148265308395328429*c_0\ 110_11^10 + 5914067236080238048029779893259/36373948593061233581313\ 716*c_0110_11^9 - 4278310070098972531822065893647/36373948593061233\ 581313716*c_0110_11^8 + 2608139239158508139646596796519/36373948593\ 061233581313716*c_0110_11^7 - 1334521577151562945180464327435/36373\ 948593061233581313716*c_0110_11^6 + 572249923520743619842245165089/36373948593061233581313716*c_0110_11\ ^5 - 51736986161006161351645246642/9093487148265308395328429*c_0110\ _11^4 + 60290497739359492952164993693/36373948593061233581313716*c_\ 0110_11^3 - 13437065799365788957210875059/3637394859306123358131371\ 6*c_0110_11^2 + 1990242720984857583502821763/3637394859306123358131\ 3716*c_0110_11 - 180240420683768455921361881/3637394859306123358131\ 3716, c_0011_4 - 49067567611469555637031769655/36373948593061233581313716*c_0\ 110_11^16 + 210166596384884108983027268949/181869742965306167906568\ 58*c_0110_11^15 - 1708519956708138153003689220255/36373948593061233\ 581313716*c_0110_11^14 + 4393510242107498355563286419631/3637394859\ 3061233581313716*c_0110_11^13 - 2000908238664881958695114159934/909\ 3487148265308395328429*c_0110_11^12 + 5482700646651385686655927890305/18186974296530616790656858*c_0110_1\ 1^11 - 5892702741568933496309895028099/18186974296530616790656858*c\ _0110_11^10 + 10290493648762585659412307838971/36373948593061233581\ 313716*c_0110_11^9 - 7490707978950201629424279186281/36373948593061\ 233581313716*c_0110_11^8 + 4597235305881143283254539081827/36373948\ 593061233581313716*c_0110_11^7 - 2370862522471595910717291082977/36\ 373948593061233581313716*c_0110_11^6 + 1025487967010156421016889194093/36373948593061233581313716*c_0110_1\ 1^5 - 93551257591106350123065795329/9093487148265308395328429*c_011\ 0_11^4 + 110504929946194764935423373727/36373948593061233581313716*\ c_0110_11^3 - 25030896162829212085806382535/36373948593061233581313\ 716*c_0110_11^2 + 3833903979534129341325003305/36373948593061233581\ 313716*c_0110_11 - 312174225796046526612749357/36373948593061233581\ 313716, c_0011_9 + 18361337786353577914467114975/36373948593061233581313716*c_0\ 110_11^16 - 76322513208750599922952724027/1818697429653061679065685\ 8*c_0110_11^15 + 599788955429314630050970709387/3637394859306123358\ 1313716*c_0110_11^14 - 1484671733327787435855906741207/363739485930\ 61233581313716*c_0110_11^13 + 647354419649358141885210725487/909348\ 7148265308395328429*c_0110_11^12 - 1687030350501071622896091343277/18186974296530616790656858*c_0110_1\ 1^11 + 1713441750847829018208083425457/18186974296530616790656858*c\ _0110_11^10 - 2813939945119156053430867594587/363739485930612335813\ 13716*c_0110_11^9 + 1917709602420122141336290047741/363739485930612\ 33581313716*c_0110_11^8 - 1092656023153197089453033447019/363739485\ 93061233581313716*c_0110_11^7 + 514855043390163344493652712797/3637\ 3948593061233581313716*c_0110_11^6 - 200593949794440480026675457829/36373948593061233581313716*c_0110_11\ ^5 + 16433808827030384352848218575/9093487148265308395328429*c_0110\ _11^4 - 16308360986449653324106470723/36373948593061233581313716*c_\ 0110_11^3 + 2781474936643982355478189487/36373948593061233581313716\ *c_0110_11^2 - 218976436020698161040973185/363739485930612335813137\ 16*c_0110_11 - 25968679897482075653740599/3637394859306123358131371\ 6, c_0101_0 - 1, c_0101_1 - 16425406472885882934699549741/18186974296530616790656858*c_0\ 110_11^16 + 69230654975425778847524417126/9093487148265308395328429\ *c_0110_11^15 - 553043457185756760990936023893/18186974296530616790\ 656858*c_0110_11^14 + 1395642103349184105350767533301/1818697429653\ 0616790656858*c_0110_11^13 - 1245514726755130765110501028982/909348\ 7148265308395328429*c_0110_11^12 + 1668946041285444344552935042247/9093487148265308395328429*c_0110_11\ ^11 - 1752230656413752191023406543455/9093487148265308395328429*c_0\ 110_11^10 + 2988252923268869028112949031999/18186974296530616790656\ 858*c_0110_11^9 - 2123467428638505743722007418655/18186974296530616\ 790656858*c_0110_11^8 + 1269164479824888256904496359843/18186974296\ 530616790656858*c_0110_11^7 - 634043219303977854473714720569/181869\ 74296530616790656858*c_0110_11^6 + 264461433561729086873839761209/18186974296530616790656858*c_0110_11\ ^5 - 46425285329039746037619784031/9093487148265308395328429*c_0110\ _11^4 + 25779568459489271124905135287/18186974296530616790656858*c_\ 0110_11^3 - 5374750523571267723572277893/18186974296530616790656858\ *c_0110_11^2 + 726635938809025715550015483/181869742965306167906568\ 58*c_0110_11 - 39166465061742960250165349/1818697429653061679065685\ 8, c_0101_3 - 41972319877117940002417876437/36373948593061233581313716*c_0\ 110_11^16 + 179131788433405102680626156947/181869742965306167906568\ 58*c_0110_11^15 - 1450881160495437296441833739129/36373948593061233\ 581313716*c_0110_11^14 + 3717035763049222723885834926649/3637394859\ 3061233581313716*c_0110_11^13 - 1686285438130282160595416163878/909\ 3487148265308395328429*c_0110_11^12 + 4601999595486894860597825287387/18186974296530616790656858*c_0110_1\ 1^11 - 4925878594342140936377322408127/18186974296530616790656858*c\ _0110_11^10 + 8567156985922950298899282605853/363739485930612335813\ 13716*c_0110_11^9 - 6210531954092157917490951405339/363739485930612\ 33581313716*c_0110_11^8 + 3794265597795991347204840213897/363739485\ 93061233581313716*c_0110_11^7 - 1946269485630601803332668538379/363\ 73948593061233581313716*c_0110_11^6 + 836812361259000339117269968055/36373948593061233581313716*c_0110_11\ ^5 - 75868344691248707076293210366/9093487148265308395328429*c_0110\ _11^4 + 88786494655325112203954367321/36373948593061233581313716*c_\ 0110_11^3 - 19898690386982527235395172113/3637394859306123358131371\ 6*c_0110_11^2 + 2993333051034628803940044507/3637394859306123358131\ 3716*c_0110_11 - 235598904244130988455641899/3637394859306123358131\ 3716, c_0101_5 + 8534320213176015473691708375/36373948593061233581313716*c_01\ 10_11^16 - 18123372665063408396721897389/9093487148265308395328429*\ c_0110_11^15 + 290220036134133958370035031385/363739485930612335813\ 13716*c_0110_11^14 - 729235673357624321288683268019/363739485930612\ 33581313716*c_0110_11^13 + 642841488186111951812509232117/181869742\ 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