Magma V2.19-8 Tue Aug 20 2013 17:56:09 on localhost [Seed = 1545464726] Type ? for help. Type -D to quit. Loading file "11_151__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_151 geometric_solution 10.39484969 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 2310 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 -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 0.640773710295 0.458077977035 0 2 5 4 0132 0321 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 -1 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 0.511256500358 0.786755666143 0 0 3 1 3201 0132 0321 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.060043059120 1.351745108886 5 4 2 0 0132 0132 0321 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 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 0.511256500358 0.786755666143 6 3 1 7 0132 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 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 0.099407920534 0.732367702872 3 8 9 1 0132 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 -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 0.099407920534 0.732367702872 4 10 8 9 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722170507711 0.853996498083 10 8 4 9 2103 0213 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 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 0.495147857860 1.306114487270 10 5 7 6 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.722170507711 0.853996498083 6 10 7 5 3120 0321 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 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 0.495147857860 1.306114487270 8 6 7 9 0132 0132 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.213680357893 0.979831768935 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_0'], 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : d['c_1001_1'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_1'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1001_1'], 'c_1100_10' : negation(d['c_0101_9']), 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], '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_0']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_7']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_7'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_10'], '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_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_9'], 'c_0011_10' : d['c_0011_10']})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_1001_0, c_1001_1, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 2626346184901851055558132850716/838784074077930325206540897*c_1100_\ 1^22 - 27364351160736069788531050420084/838784074077930325206540897\ *c_1100_1^21 + 96208711618229372839014445027633/5591893827186202168\ 04360598*c_1100_1^20 - 38730679436202710444709878523957/62132153635\ 402246311595622*c_1100_1^19 + 1000401054610580068168054329870941/55\ 9189382718620216804360598*c_1100_1^18 - 2439226702939059083287945550066807/559189382718620216804360598*c_11\ 00_1^17 + 2600795067396418354027105371697313/2795946913593101084021\ 80299*c_1100_1^16 - 14734915733190248035820580614080216/83878407407\ 7930325206540897*c_1100_1^15 + 8283682153745673635018059007121920/2\ 79594691359310108402180299*c_1100_1^14 - 75202262445914244373784307267228917/1677568148155860650413081794*c_\ 1100_1^13 + 102154528966737360989635213360499807/167756814815586065\ 0413081794*c_1100_1^12 - 62532154285927558726252890945839180/838784\ 074077930325206540897*c_1100_1^11 + 138592771444491458303785225442883383/1677568148155860650413081794*c\ _1100_1^10 - 46284995759973658384234264700615953/559189382718620216\ 804360598*c_1100_1^9 + 13927773007856868369379870077375919/18639646\ 0906206738934786866*c_1100_1^8 - 3399771359971187093458342260816015\ 1/559189382718620216804360598*c_1100_1^7 + 37210445604518621335292104947191248/838784074077930325206540897*c_1\ 100_1^6 - 259589425850935515490655576802311/90191835922358099484574\ 29*c_1100_1^5 + 9109099169236333834231623901069555/5591893827186202\ 16804360598*c_1100_1^4 - 13178911844164581380272801699453615/167756\ 8148155860650413081794*c_1100_1^3 + 2620015579452652488004799054162567/838784074077930325206540897*c_11\ 00_1^2 - 269219757400446775017414113561534/279594691359310108402180\ 299*c_1100_1 + 280321330361104319765686514965109/167756814815586065\ 0413081794, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_7 + 1365621756101471906658284/96980468733718386542553*c_1100_1^2\ 2 - 14220521582599244137485719/96980468733718386542553*c_1100_1^21 + 24986943536318859589649190/32326822911239462180851*c_1100_1^20 - 90498304711303853574301477/32326822911239462180851*c_1100_1^19 + 259660882499792370862799929/32326822911239462180851*c_1100_1^18 - 632992240415907950407516519/32326822911239462180851*c_1100_1^17 + 1349594025193119870418057555/32326822911239462180851*c_1100_1^16 - 7644825665753626783685714879/96980468733718386542553*c_1100_1^15 + 4297028827259433645207506717/32326822911239462180851*c_1100_1^14 - 19501575723287292074526374870/96980468733718386542553*c_1100_1^13 + 26486040730730547027561198593/96980468733718386542553*c_1100_1^12 - 32420200588973688030826236922/96980468733718386542553*c_1100_1^11 + 35920719196295035834779183275/96980468733718386542553*c_1100_1^10 - 11993891810592395546583949842/32326822911239462180851*c_1100_1^9 + 10825150305755980161218431690/32326822911239462180851*c_1100_1^8 - 8806256530548913391569020043/32326822911239462180851*c_1100_1^7 + 19272340089457546769685434501/96980468733718386542553*c_1100_1^6 - 4166931588600269264086259057/32326822911239462180851*c_1100_1^5 + 2357663915653735872647439045/32326822911239462180851*c_1100_1^4 - 3410037402261161850644806417/96980468733718386542553*c_1100_1^3 + 1355475839664333171164761627/96980468733718386542553*c_1100_1^2 - 139234440472741828537428789/32326822911239462180851*c_1100_1 + 72405923463878177957784560/96980468733718386542553, c_0101_0 + 1704099632528334141/165011066022344593*c_1100_1^22 - 17758864228850524343/165011066022344593*c_1100_1^21 + 93673142070182761535/165011066022344593*c_1100_1^20 - 339442379675389313231/165011066022344593*c_1100_1^19 + 974304766521079556097/165011066022344593*c_1100_1^18 - 2375826619123867270319/165011066022344593*c_1100_1^17 + 5066839076304057504669/165011066022344593*c_1100_1^16 - 9569624613117171433863/165011066022344593*c_1100_1^15 + 16140929664883133437733/165011066022344593*c_1100_1^14 - 24424248185341108414643/165011066022344593*c_1100_1^13 + 33180634039265634324398/165011066022344593*c_1100_1^12 - 40625056163159955468377/165011066022344593*c_1100_1^11 + 45022528037299737353968/165011066022344593*c_1100_1^10 - 45110321949835710939735/165011066022344593*c_1100_1^9 + 40724638609869427320338/165011066022344593*c_1100_1^8 - 33136812979927575064173/165011066022344593*c_1100_1^7 + 24178623712788419302546/165011066022344593*c_1100_1^6 - 15686125994971331854351/165011066022344593*c_1100_1^5 + 8877152395288174894577/165011066022344593*c_1100_1^4 - 4280541212809570960919/165011066022344593*c_1100_1^3 + 1701430117647653321385/165011066022344593*c_1100_1^2 - 524238835696889472936/165011066022344593*c_1100_1 + 90805170324783082564/165011066022344593, c_0101_1 + 1858901788572356923695943/96980468733718386542553*c_1100_1^2\ 2 - 19361800036413173411514070/96980468733718386542553*c_1100_1^21 + 34026019796807376983936196/32326822911239462180851*c_1100_1^20 - 123246902966933212657505410/32326822911239462180851*c_1100_1^19 + 353636601576217323059877711/32326822911239462180851*c_1100_1^18 - 862097732975249714196185430/32326822911239462180851*c_1100_1^17 + 1838092278031268722003863101/32326822911239462180851*c_1100_1^16 - 10412033215806427117272931210/96980468733718386542553*c_1100_1^15 + 5852440748363562798739147657/32326822911239462180851*c_1100_1^14 - 26560587281339228539580027044/96980468733718386542553*c_1100_1^13 + 36073056605864404065088846330/96980468733718386542553*c_1100_1^12 - 44154700164436966451158007966/96980468733718386542553*c_1100_1^11 + 48921941507872273041934699408/96980468733718386542553*c_1100_1^10 - 16335024259615182561545381953/32326822911239462180851*c_1100_1^9 + 14743304627482329962643759405/32326822911239462180851*c_1100_1^8 - 11993768238402427368681183672/32326822911239462180851*c_1100_1^7 + 26248943063764654346162943142/96980468733718386542553*c_1100_1^6 - 5675503309933805473863799337/32326822911239462180851*c_1100_1^5 + 3211352200318278557154196318/32326822911239462180851*c_1100_1^4 - 4644813300037740770375064389/96980468733718386542553*c_1100_1^3 + 1846296017640887043269449346/96980468733718386542553*c_1100_1^2 - 189646354155042337520453808/32326822911239462180851*c_1100_1 + 98604967805079097833147676/96980468733718386542553, c_0101_10 + 1152938831758875709918171/96980468733718386542553*c_1100_1^\ 22 - 12006552989119668437989117/96980468733718386542553*c_1100_1^21 + 21097358466529501064911719/32326822911239462180851*c_1100_1^20 - 76411020385320530386210873/32326822911239462180851*c_1100_1^19 + 219238142328683120759616552/32326822911239462180851*c_1100_1^18 - 534443341522300851261601985/32326822911239462180851*c_1100_1^17 + 1139465904765467751415224627/32326822911239462180851*c_1100_1^16 - 6454471804926464874868168663/96980468733718386542553*c_1100_1^15 + 3627907138499751481753823126/32326822911239462180851*c_1100_1^14 - 16464678359445470469972414859/96980468733718386542553*c_1100_1^13 + 22361341582422765618175405342/96980468733718386542553*c_1100_1^12 - 27371361078681749213972674418/96980468733718386542553*c_1100_1^11 + 30327156112273018302939243352/96980468733718386542553*c_1100_1^10 - 10126521508569933982867491461/32326822911239462180851*c_1100_1^9 + 9140177149685455588045338155/32326822911239462180851*c_1100_1^8 - 7436052287329571498661923696/32326822911239462180851*c_1100_1^7 + 16275336235499279581710466084/96980468733718386542553*c_1100_1^6 - 3519366994683546427988982658/32326822911239462180851*c_1100_1^5 + 1991557035433372629790308796/32326822911239462180851*c_1100_1^4 - 2880931589596170173036099063/96980468733718386542553*c_1100_1^3 + 1145292320076556765646496719/96980468733718386542553*c_1100_1^2 - 117657219379803555177862614/32326822911239462180851*c_1100_1 + 61175205573074859586929688/96980468733718386542553, c_0101_9 - 233521337157536406802559/96980468733718386542553*c_1100_1^22 + 2427537925545362998216295/96980468733718386542553*c_1100_1^21 - 4260285998756291132017258/32326822911239462180851*c_1100_1^20 + 15417799876424273441866773/32326822911239462180851*c_1100_1^19 - 44216394901970562994989673/32326822911239462180851*c_1100_1^18 + 107750543775305051496029850/32326822911239462180851*c_1100_1^17 - 229655565760850797583637227/32326822911239462180851*c_1100_1^16 + 1300478142723550543622635115/96980468733718386542553*c_1100_1^15 - 730759879470053944465250650/32326822911239462180851*c_1100_1^14 + 3315463849570122358738351187/96980468733718386542553*c_1100_1^13 - 4501449065294407080664687910/96980468733718386542553*c_1100_1^12 + 5508302076990243076938050005/96980468733718386542553*c_1100_1^11 - 6100980716978970303268959803/96980468733718386542553*c_1100_1^10 + 2036331160338911762268497793/32326822911239462180851*c_1100_1^9 - 1837208410399279183186474441/32326822911239462180851*c_1100_1^8 + 1493986773821479315123380756/32326822911239462180851*c_1100_1^7 - 3267908115121524119730382049/96980468733718386542553*c_1100_1^6 + 706246455727828278901080362/32326822911239462180851*c_1100_1^5 - 399362068178603561888853246/32326822911239462180851*c_1100_1^4 + 577345389240814303257829807/96980468733718386542553*c_1100_1^3 - 229178619248041192373136559/96980468733718386542553*c_1100_1^2 + 23495591927119000182222877/32326822911239462180851*c_1100_1 - 12206563322418453372718325/96980468733718386542553, c_1001_0 + 1858901788572356923695943/96980468733718386542553*c_1100_1^2\ 2 - 19361800036413173411514070/96980468733718386542553*c_1100_1^21 + 34026019796807376983936196/32326822911239462180851*c_1100_1^20 - 123246902966933212657505410/32326822911239462180851*c_1100_1^19 + 353636601576217323059877711/32326822911239462180851*c_1100_1^18 - 862097732975249714196185430/32326822911239462180851*c_1100_1^17 + 1838092278031268722003863101/32326822911239462180851*c_1100_1^16 - 10412033215806427117272931210/96980468733718386542553*c_1100_1^15 + 5852440748363562798739147657/32326822911239462180851*c_1100_1^14 - 26560587281339228539580027044/96980468733718386542553*c_1100_1^13 + 36073056605864404065088846330/96980468733718386542553*c_1100_1^12 - 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33279*c_1100_1^8 + 25447*c_1100_1^7 - 17422*c_1100_1^6 + 10542*c_1100_1^5 - 5531*c_1100_1^4 + 2455*c_1100_1^3 - 887*c_1100_1^2 + 232*c_1100_1 - 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB