Magma V2.19-8 Tue Aug 20 2013 23:38:48 on localhost [Seed = 3667705502] Type ? for help. Type -D to quit. Loading file "K12n172__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n172 geometric_solution 9.57129115 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1302 0132 0132 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 1 0 -1 11 0 0 -11 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188831169162 0.553484590449 0 4 2 0 0132 0132 2103 2031 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 -11 0 12 -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 0.841164710593 0.573951670286 1 3 5 0 2103 0132 0132 0132 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 -12 0 12 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 -0.215670284000 0.886610567253 4 2 0 6 3120 0132 0132 0132 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 11 -11 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838215401207 1.514607707124 7 1 5 3 0132 0132 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.518246233456 0.764663254921 4 8 9 2 2103 0132 0132 0132 0 0 0 0 0 0 0 0 0 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 12 -12 -1 1 0 0 1 11 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974752518349 0.529889555956 10 10 3 9 0132 2310 0132 0132 0 0 0 0 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 0 1 -1 -11 0 11 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577272479814 0.851288880278 4 8 9 9 0132 1023 2310 3120 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 12 -12 0 0 12 -12 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729469066889 0.606475769932 7 5 10 10 1023 0132 2310 0132 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 -11 0 11 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577272479814 0.851288880278 7 7 6 5 3120 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -1 1 0 12 0 0 -12 0 -12 0 12 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729469066889 0.606475769932 6 8 8 6 0132 3201 0132 3201 0 0 0 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 11 0 0 -11 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.545659028998 0.804669337362 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_1001_2'], 'c_1010_10' : negation(d['c_1001_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_9']), '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : d['c_1100_0'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0101_8']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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'], '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' : negation(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_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : negation(d['c_0011_9'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_9, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0101_8, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 242308979974865668976219/30660823453981201746414*c_1001_2^19 + 226328941584498978050417/30660823453981201746414*c_1001_2^18 + 3094735841966294474657/713042405906539575498*c_1001_2^17 + 1312594540852392284074657/30660823453981201746414*c_1001_2^16 + 4631246016502571981976472/15330411726990600873207*c_1001_2^15 + 1292829727016778198814125/5110137242330200291069*c_1001_2^14 + 27063912161091300737570497/15330411726990600873207*c_1001_2^13 + 29174058039784168278635129/30660823453981201746414*c_1001_2^12 + 80410944156787394682206909/15330411726990600873207*c_1001_2^11 + 31128857360243568385427395/15330411726990600873207*c_1001_2^10 + 145434640649470827385040687/15330411726990600873207*c_1001_2^9 + 85269946606698956391254965/30660823453981201746414*c_1001_2^8 + 113983205737466966326936079/10220274484660400582138*c_1001_2^7 + 81835230180454753357042247/30660823453981201746414*c_1001_2^6 + 259456540534623435743212993/30660823453981201746414*c_1001_2^5 + 57688071353968595815496567/30660823453981201746414*c_1001_2^4 + 19926630672038615867881494/5110137242330200291069*c_1001_2^3 + 13534475137903205867820082/15330411726990600873207*c_1001_2^2 + 25186533823371322089771641/30660823453981201746414*c_1001_2 + 2101794045504429156443911/10220274484660400582138, c_0011_0 - 1, c_0011_10 + 333325861135705590/2763730255451703781*c_1001_2^19 - 437620960588811535/2763730255451703781*c_1001_2^18 - 33448513409264265/2763730255451703781*c_1001_2^17 - 1682203661487215508/2763730255451703781*c_1001_2^16 - 12190955265405641420/2763730255451703781*c_1001_2^15 - 6123764471260624081/2763730255451703781*c_1001_2^14 - 72020739692068084819/2763730255451703781*c_1001_2^13 - 15714165399660187433/2763730255451703781*c_1001_2^12 - 213730407275525168190/2763730255451703781*c_1001_2^11 - 19420840405278016068/2763730255451703781*c_1001_2^10 - 385934837666574716995/2763730255451703781*c_1001_2^9 - 5975574324128293283/2763730255451703781*c_1001_2^8 - 445352049818961597111/2763730255451703781*c_1001_2^7 + 10223141446976144777/2763730255451703781*c_1001_2^6 - 319936780245511421010/2763730255451703781*c_1001_2^5 + 5554881921252970450/2763730255451703781*c_1001_2^4 - 129363503020997054061/2763730255451703781*c_1001_2^3 - 2880460228076014525/2763730255451703781*c_1001_2^2 - 20112616853249081179/2763730255451703781*c_1001_2 - 2289710536653457468/2763730255451703781, c_0011_2 + 309770215652432003/2763730255451703781*c_1001_2^19 - 162850491263174119/2763730255451703781*c_1001_2^18 - 241500818871313166/2763730255451703781*c_1001_2^17 - 1836942750517649252/2763730255451703781*c_1001_2^16 - 12634230800439819569/2763730255451703781*c_1001_2^15 - 14816384740483799039/2763730255451703781*c_1001_2^14 - 74648181470635628934/2763730255451703781*c_1001_2^13 - 64869945764907626810/2763730255451703781*c_1001_2^12 - 225208044977429915158/2763730255451703781*c_1001_2^11 - 157096633641663357923/2763730255451703781*c_1001_2^10 - 407889106088028854779/2763730255451703781*c_1001_2^9 - 237737445562337150901/2763730255451703781*c_1001_2^8 - 472360978381737652316/2763730255451703781*c_1001_2^7 - 241635679745975947899/2763730255451703781*c_1001_2^6 - 351734864851110735864/2763730255451703781*c_1001_2^5 - 165860578725357312214/2763730255451703781*c_1001_2^4 - 160021089298721434603/2763730255451703781*c_1001_2^3 - 69549455117058332375/2763730255451703781*c_1001_2^2 - 33620218433891684377/2763730255451703781*c_1001_2 - 10568977866648129454/2763730255451703781, c_0011_9 - 132293338077446397/2763730255451703781*c_1001_2^19 - 51627351615357564/2763730255451703781*c_1001_2^18 + 477972977048663868/2763730255451703781*c_1001_2^17 + 521590126538349268/2763730255451703781*c_1001_2^16 + 5809727908624086015/2763730255451703781*c_1001_2^15 + 9817080569225362343/2763730255451703781*c_1001_2^14 + 26335747902130948064/2763730255451703781*c_1001_2^13 + 50502025931065768506/2763730255451703781*c_1001_2^12 + 61484538970539722171/2763730255451703781*c_1001_2^11 + 137924223978888683562/2763730255451703781*c_1001_2^10 + 76768715024200596881/2763730255451703781*c_1001_2^9 + 241610410755019550896/2763730255451703781*c_1001_2^8 + 45845832104283711800/2763730255451703781*c_1001_2^7 + 281521674610315574612/2763730255451703781*c_1001_2^6 + 495266531328352033/2763730255451703781*c_1001_2^5 + 209583919345071840214/2763730255451703781*c_1001_2^4 - 9937539616890137720/2763730255451703781*c_1001_2^3 + 86837521249343890581/2763730255451703781*c_1001_2^2 - 3309544156196882075/2763730255451703781*c_1001_2 + 13801805964921947627/2763730255451703781, c_0101_0 + 336361436435297933/2763730255451703781*c_1001_2^19 - 218056030694555458/2763730255451703781*c_1001_2^18 - 352713753626457763/2763730255451703781*c_1001_2^17 - 2029273157175507527/2763730255451703781*c_1001_2^16 - 12940009268352612875/2763730255451703781*c_1001_2^15 - 13886250053889058566/2763730255451703781*c_1001_2^14 - 74484065582349410672/2763730255451703781*c_1001_2^13 - 51710152259264835542/2763730255451703781*c_1001_2^12 - 217650926132829976276/2763730255451703781*c_1001_2^11 - 101745824062052318669/2763730255451703781*c_1001_2^10 - 387054866907417223809/2763730255451703781*c_1001_2^9 - 115796257195369138797/2763730255451703781*c_1001_2^8 - 454532765433952539881/2763730255451703781*c_1001_2^7 - 75982644830408123452/2763730255451703781*c_1001_2^6 - 349356693035267571963/2763730255451703781*c_1001_2^5 - 22465976338641732558/2763730255451703781*c_1001_2^4 - 164474274850403255890/2763730255451703781*c_1001_2^3 + 2189891309951480564/2763730255451703781*c_1001_2^2 - 32952103157091644289/2763730255451703781*c_1001_2 + 3188649133358173709/2763730255451703781, c_0101_1 - 59739564628224701/2763730255451703781*c_1001_2^19 + 90986987796067859/2763730255451703781*c_1001_2^18 + 45055564679271109/2763730255451703781*c_1001_2^17 + 100102842252694850/2763730255451703781*c_1001_2^16 + 2219432354015390257/2763730255451703781*c_1001_2^15 + 508875439600592039/2763730255451703781*c_1001_2^14 + 11225034585126730417/2763730255451703781*c_1001_2^13 + 4101804130459825371/2763730255451703781*c_1001_2^12 + 30186391361292333144/2763730255451703781*c_1001_2^11 + 18979760915666652675/2763730255451703781*c_1001_2^10 + 51033466826670123597/2763730255451703781*c_1001_2^9 + 54258120679928991217/2763730255451703781*c_1001_2^8 + 54576814714840542994/2763730255451703781*c_1001_2^7 + 90777787470655361810/2763730255451703781*c_1001_2^6 + 34478280236383863825/2763730255451703781*c_1001_2^5 + 93938680452048368187/2763730255451703781*c_1001_2^4 + 11907992494615469142/2763730255451703781*c_1001_2^3 + 55323241992826024802/2763730255451703781*c_1001_2^2 + 2446054986414272095/2763730255451703781*c_1001_2 + 14405425436355734996/2763730255451703781, c_0101_4 + c_1001_2, c_0101_6 - 206659289017482585/2763730255451703781*c_1001_2^19 + 332487806667381025/2763730255451703781*c_1001_2^18 + 23377021282328343/2763730255451703781*c_1001_2^17 + 963065447900098305/2763730255451703781*c_1001_2^16 + 7123170193621365200/2763730255451703781*c_1001_2^15 + 1121975369304972256/2763730255451703781*c_1001_2^14 + 40471405550004676882/2763730255451703781*c_1001_2^13 - 5805744572306149748/2763730255451703781*c_1001_2^12 + 114177254108981738359/2763730255451703781*c_1001_2^11 - 33449673455818449004/2763730255451703781*c_1001_2^10 + 197698468987192265616/2763730255451703781*c_1001_2^9 - 71547187363179554260/2763730255451703781*c_1001_2^8 + 223726263998147402191/2763730255451703781*c_1001_2^7 - 79450161052581827381/2763730255451703781*c_1001_2^6 + 161617582005187175664/2763730255451703781*c_1001_2^5 - 43109867059912488087/2763730255451703781*c_1001_2^4 + 67827558122966793385/2763730255451703781*c_1001_2^3 - 8943927719450803769/2763730255451703781*c_1001_2^2 + 10846641343495377528/2763730255451703781*c_1001_2 + 1085306163301158867/2763730255451703781, c_0101_8 - 206659289017482585/2763730255451703781*c_1001_2^19 + 332487806667381025/2763730255451703781*c_1001_2^18 + 23377021282328343/2763730255451703781*c_1001_2^17 + 963065447900098305/2763730255451703781*c_1001_2^16 + 7123170193621365200/2763730255451703781*c_1001_2^15 + 1121975369304972256/2763730255451703781*c_1001_2^14 + 40471405550004676882/2763730255451703781*c_1001_2^13 - 5805744572306149748/2763730255451703781*c_1001_2^12 + 114177254108981738359/2763730255451703781*c_1001_2^11 - 33449673455818449004/2763730255451703781*c_1001_2^10 + 197698468987192265616/2763730255451703781*c_1001_2^9 - 71547187363179554260/2763730255451703781*c_1001_2^8 + 223726263998147402191/2763730255451703781*c_1001_2^7 - 79450161052581827381/2763730255451703781*c_1001_2^6 + 161617582005187175664/2763730255451703781*c_1001_2^5 - 43109867059912488087/2763730255451703781*c_1001_2^4 + 67827558122966793385/2763730255451703781*c_1001_2^3 - 8943927719450803769/2763730255451703781*c_1001_2^2 + 10846641343495377528/2763730255451703781*c_1001_2 + 1085306163301158867/2763730255451703781, c_1001_2^20 - c_1001_2^19 - 6*c_1001_2^17 - 38*c_1001_2^16 - 32*c_1001_2^15 - 239*c_1001_2^14 - 115*c_1001_2^13 - 759*c_1001_2^12 - 236*c_1001_2^11 - 1486*c_1001_2^10 - 294*c_1001_2^9 - 1931*c_1001_2^8 - 234*c_1001_2^7 - 1685*c_1001_2^6 - 125*c_1001_2^5 - 959*c_1001_2^4 - 44*c_1001_2^3 - 316*c_1001_2^2 - 7*c_1001_2 - 43, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.580 Total time: 0.790 seconds, Total memory usage: 32.09MB