Magma V2.19-8 Tue Aug 20 2013 23:39:30 on localhost [Seed = 2648439259] Type ? for help. Type -D to quit. Loading file "K13n790__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n790 geometric_solution 10.27289984 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 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 4 0 -4 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 0.571925290098 0.886421188577 0 2 2 5 0132 0321 2103 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 -1 0 -4 0 4 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 1.036281039846 0.742650621029 1 0 5 1 2103 0132 0132 0321 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 -4 0 5 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036281039846 0.742650621029 6 5 7 0 0132 0132 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 0 0 0 -4 0 0 4 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146607347002 1.323768251305 5 8 0 9 0132 0132 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 0 -1 1 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146607347002 1.323768251305 4 3 1 2 0132 0132 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 0 0 0 5 0 0 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571925290098 0.886421188577 3 8 10 9 0132 1023 0132 3201 0 0 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 4 0 0 -4 1 0 0 -1 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155553567943 0.627395155825 8 8 9 3 2103 0321 0132 0132 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 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420910511503 0.711572500434 6 4 7 7 1023 0132 2103 0321 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 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420910511503 0.711572500434 10 6 4 7 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 5 0 -5 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155553567943 0.627395155825 9 10 10 6 0132 3201 2310 0132 0 0 0 0 0 1 -1 0 1 0 -1 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 -5 5 0 -5 0 5 0 0 -5 0 5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.372296621710 1.501586238613 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0011_7'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_7']), '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_0'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 562948336174976489708808181/557794689553677679777262750*c_1100_0^22 - 5764106045328409380055139801/557794689553677679777262750*c_1100_0\ ^21 + 14542986882268099654128709988/278897344776838839888631375*c_1\ 100_0^20 - 49586159169999365820202690498/27889734477683883988863137\ 5*c_1100_0^19 + 133496428641939414868850404866/27889734477683883988\ 8631375*c_1100_0^18 - 1252794281878849092075899278/1138356509293219\ 754647475*c_1100_0^17 + 1234177675041156138631006437299/55779468955\ 3677679777262750*c_1100_0^16 - 310956996686893425694639985513/79684\ 955650525382825323250*c_1100_0^15 + 3387388379615294266924974307161/557794689553677679777262750*c_1100_\ 0^14 - 2341314669209592995109154295436/278897344776838839888631375*\ c_1100_0^13 + 2871133455714074495493620423756/278897344776838839888\ 631375*c_1100_0^12 - 3114810952060046506364110689458/27889734477683\ 8839888631375*c_1100_0^11 + 2998278794392983830704905729144/2788973\ 44776838839888631375*c_1100_0^10 - 2554063508979905295775180555414/278897344776838839888631375*c_1100_\ 0^9 + 30840370005309312310029924439/4462357516429421438218102*c_110\ 0_0^8 - 1294647617093689923435466438263/278897344776838839888631375\ *c_1100_0^7 + 209406473536186741836373073759/7968495565052538282532\ 3250*c_1100_0^6 - 694782966550430320659518880337/557794689553677679\ 777262750*c_1100_0^5 + 333107396036012810125489893423/5577946895536\ 77679777262750*c_1100_0^4 - 132205274019190516081856378407/55779468\ 9553677679777262750*c_1100_0^3 + 14740334803211121427204216767/5577\ 94689553677679777262750*c_1100_0^2 - 21966959432124910330453764908/278897344776838839888631375*c_1100_0 + 2316547675894987191349397893/55779468955367767977726275, c_0011_0 - 1, c_0011_10 + 74183935817754236184076/227671301858643950929495*c_1100_0^2\ 2 - 754856218176611775702496/227671301858643950929495*c_1100_0^21 + 3895699140483856002207156/227671301858643950929495*c_1100_0^20 - 13853899109462008558130731/227671301858643950929495*c_1100_0^19 + 39193141068636465123926387/227671301858643950929495*c_1100_0^18 - 18896726781870240266549551/45534260371728790185899*c_1100_0^17 + 199350504809135329343974644/227671301858643950929495*c_1100_0^16 - 371803014827145782645695156/227671301858643950929495*c_1100_0^15 + 618028255904033245607924751/227671301858643950929495*c_1100_0^14 - 921485982568705235884015502/227671301858643950929495*c_1100_0^13 + 1235283975247659835992667327/227671301858643950929495*c_1100_0^12 - 1491719571685495094645888036/227671301858643950929495*c_1100_0^11 + 1626724040074160874920276688/227671301858643950929495*c_1100_0^10 - 1602199121199802502534264083/227671301858643950929495*c_1100_0^9 + 285738726204006898152685614/45534260371728790185899*c_1100_0^8 - 1149855359756304792579933371/227671301858643950929495*c_1100_0^7 + 826642751748353369507202073/227671301858643950929495*c_1100_0^6 - 525970316141015241013447307/227671301858643950929495*c_1100_0^5 + 295594700541424313202395208/227671301858643950929495*c_1100_0^4 - 140082504774525478298575752/227671301858643950929495*c_1100_0^3 + 53173536116373063762691437/227671301858643950929495*c_1100_0^2 - 14519887976663450711765956/227671301858643950929495*c_1100_0 + 392079059051630915248538/45534260371728790185899, c_0011_3 + c_1100_0, c_0011_7 - 3239406166104360098358/227671301858643950929495*c_1100_0^22 + 45752159889427753145133/227671301858643950929495*c_1100_0^21 - 290368989006610286527858/227671301858643950929495*c_1100_0^20 + 1178279485682917809756158/227671301858643950929495*c_1100_0^19 - 3603765023929999304023211/227671301858643950929495*c_1100_0^18 + 1831080466404369393856100/45534260371728790185899*c_1100_0^17 - 20198648324165013836627187/227671301858643950929495*c_1100_0^16 + 39246545532354583821698263/227671301858643950929495*c_1100_0^15 - 67564418395597742245918303/227671301858643950929495*c_1100_0^14 + 103815807712746339321300041/227671301858643950929495*c_1100_0^13 - 143038682245636289253491656/227671301858643950929495*c_1100_0^12 + 176878314178787595459746988/227671301858643950929495*c_1100_0^11 - 196863632996734979728725069/227671301858643950929495*c_1100_0^10 + 197892308348702503730053814/227671301858643950929495*c_1100_0^9 - 35990128834960924884196104/45534260371728790185899*c_1100_0^8 + 148963446926959984513382978/227671301858643950929495*c_1100_0^7 - 111334806100885998444498319/227671301858643950929495*c_1100_0^6 + 74167019793706696682867111/227671301858643950929495*c_1100_0^5 - 44141916395781138772110459/227671301858643950929495*c_1100_0^4 + 23501153479867574491578841/227671301858643950929495*c_1100_0^3 - 9996604956260361146232751/227671301858643950929495*c_1100_0^2 + 3324709533816308370989863/227671301858643950929495*c_1100_0 - 141652809210907658035710/45534260371728790185899, c_0101_0 + 501117964604213286/2743655799021992395*c_1100_0^22 - 5330012381291188156/2743655799021992395*c_1100_0^21 + 28635202937252836266/2743655799021992395*c_1100_0^20 - 105381443325843490241/2743655799021992395*c_1100_0^19 + 306029450446918300782/2743655799021992395*c_1100_0^18 - 150604954266627544510/548731159804398479*c_1100_0^17 + 1618348155786045555234/2743655799021992395*c_1100_0^16 - 3073513766184696000381/2743655799021992395*c_1100_0^15 + 5198988706982761383841/2743655799021992395*c_1100_0^14 - 7881077970204119172262/2743655799021992395*c_1100_0^13 + 10733606578742165840157/2743655799021992395*c_1100_0^12 - 13151470758827574982181/2743655799021992395*c_1100_0^11 + 14519724566967330311483/2743655799021992395*c_1100_0^10 - 14443785254730452817703/2743655799021992395*c_1100_0^9 + 2591721529708558291910/548731159804398479*c_1100_0^8 - 10466352334697674366766/2743655799021992395*c_1100_0^7 + 7543041938023321699193/2743655799021992395*c_1100_0^6 - 4796989162441350704752/2743655799021992395*c_1100_0^5 + 2678547017919468966708/2743655799021992395*c_1100_0^4 - 1272034277074118155917/2743655799021992395*c_1100_0^3 + 482003220713732694387/2743655799021992395*c_1100_0^2 - 133685538351165218386/2743655799021992395*c_1100_0 + 3752762530278846160/548731159804398479, c_0101_1 + 24563657372729097395447/227671301858643950929495*c_1100_0^22 - 244349608387773180133832/227671301858643950929495*c_1100_0^21 + 1242354714710745988362632/227671301858643950929495*c_1100_0^20 - 4386815200762295891641132/227671301858643950929495*c_1100_0^19 + 12398650215405102716052794/227671301858643950929495*c_1100_0^18 - 5983209111634484542014773/45534260371728790185899*c_1100_0^17 + 63169688955345980274667198/227671301858643950929495*c_1100_0^16 - 117963659566949827837603017/227671301858643950929495*c_1100_0^15 + 196540244069007434848983972/227671301858643950929495*c_1100_0^14 - 293852834775572193155939954/227671301858643950929495*c_1100_0^13 + 394919479466082272618453479/227671301858643950929495*c_1100_0^12 - 477992972898710211513684607/227671301858643950929495*c_1100_0^11 + 521875695468642875185181941/227671301858643950929495*c_1100_0^10 - 513356442240095200352756856/227671301858643950929495*c_1100_0^9 + 91188812326907207686617731/45534260371728790185899*c_1100_0^8 - 363851589529084039633603332/227671301858643950929495*c_1100_0^7 + 258447564872670054588557771/227671301858643950929495*c_1100_0^6 - 162193004663024717363635079/227671301858643950929495*c_1100_0^5 + 89112020929596978482839781/227671301858643950929495*c_1100_0^4 - 40455278868567285513875794/227671301858643950929495*c_1100_0^3 + 14991362644859229905895739/227671301858643950929495*c_1100_0^2 - 3912567034779555504154512/227671301858643950929495*c_1100_0 + 75185997744326853363625/45534260371728790185899, c_0101_10 - 66279381644729990804801/227671301858643950929495*c_1100_0^2\ 2 + 677931804496920661257436/227671301858643950929495*c_1100_0^21 - 3519392190406578377477401/227671301858643950929495*c_1100_0^20 + 12587838889956470503122716/227671301858643950929495*c_1100_0^19 - 35773307096965076427521362/227671301858643950929495*c_1100_0^18 + 17301942622496156439756607/45534260371728790185899*c_1100_0^17 - 182947840687547990877982054/227671301858643950929495*c_1100_0^16 + 341855984993417687834640641/227671301858643950929495*c_1100_0^15 - 568972814602818809991057866/227671301858643950929495*c_1100_0^14 + 848560545181680786049561177/227671301858643950929495*c_1100_0^13 - 1136322848075921763302750272/227671301858643950929495*c_1100_0^12 + 1368357559772324028436388616/227671301858643950929495*c_1100_0^11 - 1484426865350211849785922053/227671301858643950929495*c_1100_0^10 + 1450179124091966684678891203/227671301858643950929495*c_1100_0^9 - 255674770698621801964161643/45534260371728790185899*c_1100_0^8 + 1013787502679525897328702341/227671301858643950929495*c_1100_0^7 - 716040656557350541741794293/227671301858643950929495*c_1100_0^6 + 446084029362801419872784222/227671301858643950929495*c_1100_0^5 - 244517247111474683915773053/227671301858643950929495*c_1100_0^4 + 112636958171423860046871952/227671301858643950929495*c_1100_0^3 - 41704994583668019325767607/227671301858643950929495*c_1100_0^2 + 11106870410486854575413756/227671301858643950929495*c_1100_0 - 296602994103811084637180/45534260371728790185899, c_0101_3 + 3239406166104360098358/227671301858643950929495*c_1100_0^22 - 45752159889427753145133/227671301858643950929495*c_1100_0^21 + 290368989006610286527858/227671301858643950929495*c_1100_0^20 - 1178279485682917809756158/227671301858643950929495*c_1100_0^19 + 3603765023929999304023211/227671301858643950929495*c_1100_0^18 - 1831080466404369393856100/45534260371728790185899*c_1100_0^17 + 20198648324165013836627187/227671301858643950929495*c_1100_0^16 - 39246545532354583821698263/227671301858643950929495*c_1100_0^15 + 67564418395597742245918303/227671301858643950929495*c_1100_0^14 - 103815807712746339321300041/227671301858643950929495*c_1100_0^13 + 143038682245636289253491656/227671301858643950929495*c_1100_0^12 - 176878314178787595459746988/227671301858643950929495*c_1100_0^11 + 196863632996734979728725069/227671301858643950929495*c_1100_0^10 - 197892308348702503730053814/227671301858643950929495*c_1100_0^9 + 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