Magma V2.19-8 Wed Aug 21 2013 00:54:26 on localhost [Seed = 459080000] Type ? for help. Type -D to quit. Loading file "L12n24__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n24 geometric_solution 12.29267017 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 1 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 0 0 0 1 0 -1 1 0 -1 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527801614307 0.942627450396 0 4 6 5 0132 0132 0132 0132 1 1 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 0 0 0 1 0 -1 -1 0 1 0 0 3 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369807430130 0.984400275039 7 0 0 5 0132 0132 0321 2031 0 1 1 1 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 -1 0 1 0 0 -1 1 -4 1 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527801614307 0.942627450396 7 5 0 5 3012 2031 0132 2103 0 1 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 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 0.424823043571 0.848054280920 8 1 9 10 0132 0132 0132 0132 1 1 1 1 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 0 1 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496595383605 0.840103972990 3 2 1 3 1302 1302 0132 2103 1 1 0 1 0 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 -1 1 0 0 0 0 0 0 -1 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527801614307 0.942627450396 8 9 7 1 2031 0132 1023 0132 1 1 1 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 0 0 0 1 0 0 -1 0 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.130155617143 0.763820973264 2 8 6 3 0132 0132 1023 1230 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369807430130 0.984400275039 4 7 6 11 0132 0132 1302 0132 1 1 1 1 0 0 0 0 0 0 1 -1 -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 -1 1 0 0 4 -4 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605906622976 0.513086549841 10 6 12 4 0213 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.109285333432 0.535067412430 9 12 4 11 0213 0132 0132 2310 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 -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 0.534209810957 0.462463575526 10 12 8 12 3201 3201 0132 3120 1 1 1 1 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 -1 1 -1 0 4 -3 -1 0 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308682891777 1.600076180909 11 10 11 9 3120 0132 2310 0132 1 1 1 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 0 0 0 0 0 0 0 0 3 0 -3 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 0.308682891777 1.600076180909 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_10']), '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_0011_6']), 's_2_0' : 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' : 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' : negation(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_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0110_3'], 'c_1100_6' : negation(d['c_0110_3']), 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_5'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0101_12']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : d['c_0011_11'], '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' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], '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_0011_10'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_12']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_5, c_0011_6, c_0101_1, c_0101_11, c_0101_12, c_0101_7, c_0110_3, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 11324583895785527575068971228832722/4399166522173439065908090032125\ *c_1001_1^15 - 353351385600901733062887555165918/914587634547492529\ 2948212125*c_1001_1^14 - 888593363291307634062424765077681684/43991\ 66522173439065908090032125*c_1001_1^13 - 1462414726766428055129676852799580733/35193332177387512527264720257\ 00*c_1001_1^12 - 4488161215939230274237856132604643439/879833304434\ 6878131816180064250*c_1001_1^11 - 498688213122485286409083899202618\ 0439/8798333044346878131816180064250*c_1001_1^10 - 2669195139711378104843088869610370846/43991665221734390659080900321\ 25*c_1001_1^9 - 455607453339391609217365946246002442/87983330443468\ 7813181618006425*c_1001_1^8 - 1619923778201156354187336522740368633\ /4399166522173439065908090032125*c_1001_1^7 - 167467344909365114183978844137121211/676794849565144471678167697250\ *c_1001_1^6 - 633842397899207854685093173345039036/4399166522173439\ 065908090032125*c_1001_1^5 - 292680224852171664453228557414212173/4\ 399166522173439065908090032125*c_1001_1^4 - 109139143112975344692833571563453713/439916652217343906590809003212\ 5*c_1001_1^3 - 23219247176227412610251102880460228/4399166522173439\ 065908090032125*c_1001_1^2 + 3389264454591855258888670883320292/439\ 9166522173439065908090032125*c_1001_1 + 4461261181283558925438837302909167/8798333044346878131816180064250, c_0011_0 - 1, c_0011_10 - 399804903930087023721579164/73167010763799402343585697*c_10\ 01_1^15 - 6015099808305380411651351556/73167010763799402343585697*c\ _1001_1^14 - 31526377983099608445218151136/731670107637994023435856\ 97*c_1001_1^13 - 64907275591276528618573890088/73167010763799402343\ 585697*c_1001_1^12 - 79202763621648785630315825648/7316701076379940\ 2343585697*c_1001_1^11 - 92431853367291376953779792832/731670107637\ 99402343585697*c_1001_1^10 - 100110354880422277240766519424/7316701\ 0763799402343585697*c_1001_1^9 - 85304820036271943852548029584/7316\ 7010763799402343585697*c_1001_1^8 - 64716591157878397476491147824/73167010763799402343585697*c_1001_1^7 - 45105124916984701091568617665/73167010763799402343585697*c_1001_1\ ^6 - 26560964255431674784430059484/73167010763799402343585697*c_100\ 1_1^5 - 13722567410321098143762769807/73167010763799402343585697*c_\ 1001_1^4 - 5799872632108056635285149824/73167010763799402343585697*\ c_1001_1^3 - 1695763178256779092921175070/7316701076379940234358569\ 7*c_1001_1^2 - 279821692816978486071621048/731670107637994023435856\ 97*c_1001_1 - 15834040180144405565698391/73167010763799402343585697\ , c_0011_11 - 905140876818716704063899594/73167010763799402343585697*c_10\ 01_1^15 - 12402157233375138896044480026/73167010763799402343585697*\ c_1001_1^14 - 54716499611022763169154904072/73167010763799402343585\ 697*c_1001_1^13 - 73436291935426530179914842560/7316701076379940234\ 3585697*c_1001_1^12 - 80412794419235736514804620304/731670107637994\ 02343585697*c_1001_1^11 - 100279540176796221331356143663/7316701076\ 3799402343585697*c_1001_1^10 - 91619189354550889860801395960/731670\ 10763799402343585697*c_1001_1^9 - 68740316185216371691749523065/731\ 67010763799402343585697*c_1001_1^8 - 51124674252166553066142871348/73167010763799402343585697*c_1001_1^7 - 32323868485219197939842561558/73167010763799402343585697*c_1001_1\ ^6 - 17107356508794342730428849280/73167010763799402343585697*c_100\ 1_1^5 - 7978680794969552566517552909/73167010763799402343585697*c_1\ 001_1^4 - 2928873692581096361406796660/73167010763799402343585697*c\ _1001_1^3 - 773878038761252596559495937/73167010763799402343585697*\ c_1001_1^2 - 194590286134492863309956528/73167010763799402343585697\ *c_1001_1 - 61128419051672549298800811/73167010763799402343585697, c_0011_3 + 632372792740511530285783537/73167010763799402343585697*c_100\ 1_1^15 + 9520913376875720639119306180/73167010763799402343585697*c_\ 1001_1^14 + 50099940338567480190523908046/7316701076379940234358569\ 7*c_1001_1^13 + 104976397573603864032069640208/73167010763799402343\ 585697*c_1001_1^12 + 133920318672688457150350005208/731670107637994\ 02343585697*c_1001_1^11 + 156560830991768797113950892196/7316701076\ 3799402343585697*c_1001_1^10 + 170450430131590940072779165676/73167\ 010763799402343585697*c_1001_1^9 + 149804985117715978097486171864/73167010763799402343585697*c_1001_1^\ 8 + 115280288610201601441850961924/73167010763799402343585697*c_100\ 1_1^7 + 81574935925662016204267815756/73167010763799402343585697*c_\ 1001_1^6 + 50141328285068411491472754012/73167010763799402343585697\ *c_1001_1^5 + 26729595797446823819495660312/73167010763799402343585\ 697*c_1001_1^4 + 12006273389330193107063392064/73167010763799402343\ 585697*c_1001_1^3 + 4196254671003826590939708184/731670107637994023\ 43585697*c_1001_1^2 + 1032870506462008988677027032/7316701076379940\ 2343585697*c_1001_1 + 232066291295616218716981296/73167010763799402\ 343585697, c_0011_5 - 1, c_0011_6 - 112440119029085676330819410/73167010763799402343585697*c_100\ 1_1^15 - 1422659024200299956818228954/73167010763799402343585697*c_\ 1001_1^14 - 5154038680516287836713760904/73167010763799402343585697\ *c_1001_1^13 - 1646438903356094132523673176/73167010763799402343585\ 697*c_1001_1^12 + 946265580575196722108168288/731670107637994023435\ 85697*c_1001_1^11 - 727742050698528383394725648/7316701076379940234\ 3585697*c_1001_1^10 + 3321773085401057821471363632/7316701076379940\ 2343585697*c_1001_1^9 + 5086474183626495688643055704/73167010763799\ 402343585697*c_1001_1^8 + 4119289354003399948605680136/731670107637\ 99402343585697*c_1001_1^7 + 3841714997658182557313645488/7316701076\ 3799402343585697*c_1001_1^6 + 2760569561574104129441367072/73167010\ 763799402343585697*c_1001_1^5 + 1689995877830154183028700152/731670\ 10763799402343585697*c_1001_1^4 + 862727670920265651346560112/73167\ 010763799402343585697*c_1001_1^3 + 251250428168460259348873887/73167010763799402343585697*c_1001_1^2 + 14713335139705354077470816/73167010763799402343585697*c_1001_1 - 42319557459384205744279183/73167010763799402343585697, c_0101_1 + 252778487983390324653860464/73167010763799402343585697*c_100\ 1_1^15 + 3068322351406217167684061281/73167010763799402343585697*c_\ 1001_1^14 + 9621587222124580104104397940/73167010763799402343585697\ *c_1001_1^13 - 6585540212049962634585676897/73167010763799402343585\ 697*c_1001_1^12 - 22455810559149151935222926296/7316701076379940234\ 3585697*c_1001_1^11 - 18496854035001234732720331292/731670107637994\ 02343585697*c_1001_1^10 - 28343817321086863163209600392/73167010763\ 799402343585697*c_1001_1^9 - 35437397927406349182520241023/73167010\ 763799402343585697*c_1001_1^8 - 26572853072477013752295351672/73167\ 010763799402343585697*c_1001_1^7 - 19862907088162320626542796636/73167010763799402343585697*c_1001_1^6 - 14198925930508683579125551536/73167010763799402343585697*c_1001_1\ ^5 - 7929321847815231245444503790/73167010763799402343585697*c_1001\ _1^4 - 3806532636152038673737899320/73167010763799402343585697*c_10\ 01_1^3 - 1396125663688697867397107136/73167010763799402343585697*c_\ 1001_1^2 - 240381008796088266084840480/73167010763799402343585697*c\ _1001_1 + 10440237471192673058916201/73167010763799402343585697, c_0101_11 + 623549634620558626141031859/73167010763799402343585697*c_10\ 01_1^15 + 8687257963052468962124632832/73167010763799402343585697*c\ _1001_1^14 + 39782689671452646584332856710/731670107637994023435856\ 97*c_1001_1^13 + 60921860220192683405131643648/73167010763799402343\ 585697*c_1001_1^12 + 74158347029167402206680323009/7316701076379940\ 2343585697*c_1001_1^11 + 90898419956053634032414142164/731670107637\ 99402343585697*c_1001_1^10 + 90991661383288699814698502066/73167010\ 763799402343585697*c_1001_1^9 + 77323097228180953273811457744/73167\ 010763799402343585697*c_1001_1^8 + 59814739986133058714007882618/73167010763799402343585697*c_1001_1^7 + 41242293325800304602694385968/73167010763799402343585697*c_1001_1\ ^6 + 24880717668928263207781264292/73167010763799402343585697*c_100\ 1_1^5 + 12909016407037312347092560336/73167010763799402343585697*c_\ 1001_1^4 + 5656073897068048246395530073/73167010763799402343585697*\ c_1001_1^3 + 1891898636750369265686719740/7316701076379940234358569\ 7*c_1001_1^2 + 397679443047749006613046416/731670107637994023435856\ 97*c_1001_1 + 69794158802391214030868544/73167010763799402343585697\ , c_0101_12 + c_1001_1, c_0101_7 - 252778487983390324653860464/73167010763799402343585697*c_100\ 1_1^15 - 3068322351406217167684061281/73167010763799402343585697*c_\ 1001_1^14 - 9621587222124580104104397940/73167010763799402343585697\ *c_1001_1^13 + 6585540212049962634585676897/73167010763799402343585\ 697*c_1001_1^12 + 22455810559149151935222926296/7316701076379940234\ 3585697*c_1001_1^11 + 18496854035001234732720331292/731670107637994\ 02343585697*c_1001_1^10 + 28343817321086863163209600392/73167010763\ 799402343585697*c_1001_1^9 + 35437397927406349182520241023/73167010\ 763799402343585697*c_1001_1^8 + 26572853072477013752295351672/73167\ 010763799402343585697*c_1001_1^7 + 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