Magma V2.19-8 Tue Aug 20 2013 23:38:45 on localhost [Seed = 964648304] Type ? for help. Type -D to quit. Loading file "K12n119__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n119 geometric_solution 9.87594244 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 -1 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 -0.373053788035 0.546335321133 0 3 5 5 0132 0132 2103 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 -7 8 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786259366316 0.953960243305 4 0 5 6 1023 0132 2031 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 1 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 0.293462703597 0.542095352305 4 1 7 0 0132 0132 0132 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 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 0.634617084399 1.138169075673 3 2 0 8 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697176097511 1.353129873519 1 9 1 2 2103 0132 0132 1302 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 7 0 -8 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 0.485514486714 0.624219877635 10 9 2 10 0132 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894671303291 0.665212670163 9 9 8 3 2103 0321 0132 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 -1 0 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 0.815724013585 0.962209254429 10 10 4 7 2031 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280200198533 0.535190908835 6 5 7 7 1230 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 -1 1 0 0 1 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815724013585 0.962209254429 6 6 8 8 0132 2310 1302 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.280200198533 0.535190908835 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_6'], 'c_1010_10' : d['c_0011_8'], '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_8']), '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' : 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' : negation(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' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0101_3']), 'c_1100_8' : d['c_1100_0'], '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' : 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_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_10'], '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_3'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_8'])})} 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_5, c_0011_8, c_0101_0, c_0101_2, c_0101_3, c_0101_6, c_0101_7, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 194876385250007741205578359/13884036170135820882615*c_1100_0^16 - 473386544422635446318395691/4628012056711940294205*c_1100_0^15 - 3534581449295048551760142736/13884036170135820882615*c_1100_0^14 - 1982434734179106055898075663/4628012056711940294205*c_1100_0^13 - 14323459116013377415380882754/13884036170135820882615*c_1100_0^12 - 166021592467229519156322893/175747293292858492185*c_1100_0^11 + 613962529277371137702574400/2776807234027164176523*c_1100_0^10 - 54143674295774607080948905601/13884036170135820882615*c_1100_0^9 - 145228641608715112978029528887/27768072340271641765230*c_1100_0^8 + 3353741034186743061454797817/925602411342388058841*c_1100_0^7 + 106172351968091494224673532717/13884036170135820882615*c_1100_0^6 + 53602195337933888778743777257/9256024113423880588410*c_1100_0^5 - 69896964395123290564136675819/13884036170135820882615*c_1100_0^4 - 3572028035232077495303008175/5553614468054328353046*c_1100_0^3 - 3287517724612100807560936378/2776807234027164176523*c_1100_0^2 - 1368769090844594048008228933/13884036170135820882615*c_1100_0 - 292772965148204627422998605/5553614468054328353046, c_0011_0 - 1, c_0011_10 - 71701023460347652/1153702144154432115*c_1100_0^16 - 166272985667979097/769134762769621410*c_1100_0^15 + 554808520649892794/1153702144154432115*c_1100_0^14 + 582097146236591434/384567381384810705*c_1100_0^13 + 723742598048333953/2307404288308864230*c_1100_0^12 + 2099222427229006694/230740428830886423*c_1100_0^11 + 16932146342283377381/2307404288308864230*c_1100_0^10 - 36115098513290710943/1153702144154432115*c_1100_0^9 + 96998300017930568797/2307404288308864230*c_1100_0^8 + 27375372865164572108/384567381384810705*c_1100_0^7 - 187200417993106388213/2307404288308864230*c_1100_0^6 - 65535633492352916861/769134762769621410*c_1100_0^5 - 59180409132465977144/1153702144154432115*c_1100_0^4 + 321076523878674971867/2307404288308864230*c_1100_0^3 - 13187734374230613947/461480857661772846*c_1100_0^2 + 11162992909128015727/2307404288308864230*c_1100_0 - 6875139196839016981/2307404288308864230, c_0011_5 + c_1100_0, c_0011_8 + 817586555331795919/1153702144154432115*c_1100_0^16 + 1974602970564096461/384567381384810705*c_1100_0^15 + 14365040056931195926/1153702144154432115*c_1100_0^14 + 7586925935245315208/384567381384810705*c_1100_0^13 + 55095445894592610784/1153702144154432115*c_1100_0^12 + 45788893329400592597/1153702144154432115*c_1100_0^11 - 6265353860496873332/230740428830886423*c_1100_0^10 + 212158468138597316201/1153702144154432115*c_1100_0^9 + 296999020926843179836/1153702144154432115*c_1100_0^8 - 19002524768449514020/76913476276962141*c_1100_0^7 - 522052530354645561797/1153702144154432115*c_1100_0^6 - 89580067234180558691/384567381384810705*c_1100_0^5 + 420354872886430294799/1153702144154432115*c_1100_0^4 + 21093410150731263748/230740428830886423*c_1100_0^3 - 2188603858824835448/230740428830886423*c_1100_0^2 - 6395810735531815562/1153702144154432115*c_1100_0 - 790761125530198616/230740428830886423, c_0101_0 + 23589525849963251/2307404288308864230*c_1100_0^16 + 55363927905117806/384567381384810705*c_1100_0^15 + 738686971444468786/1153702144154432115*c_1100_0^14 + 913702779435765769/769134762769621410*c_1100_0^13 + 430753594564198964/230740428830886423*c_1100_0^12 + 9298115395007230537/2307404288308864230*c_1100_0^11 + 429126931677126146/1153702144154432115*c_1100_0^10 - 5978629910583419801/2307404288308864230*c_1100_0^9 + 5280595206163957007/230740428830886423*c_1100_0^8 + 6546706534593610577/769134762769621410*c_1100_0^7 - 106189067689495881283/2307404288308864230*c_1100_0^6 - 12955132265738780219/384567381384810705*c_1100_0^5 + 7135156375085083303/2307404288308864230*c_1100_0^4 + 114287324088993572749/2307404288308864230*c_1100_0^3 - 5041356519957464611/461480857661772846*c_1100_0^2 + 3142589229971059397/2307404288308864230*c_1100_0 - 2473882248871537801/1153702144154432115, c_0101_2 + 168969242479982879/1153702144154432115*c_1100_0^16 + 384018043790230816/384567381384810705*c_1100_0^15 + 2463131929189357586/1153702144154432115*c_1100_0^14 + 2367889103242830611/769134762769621410*c_1100_0^13 + 9604364825981235689/1153702144154432115*c_1100_0^12 + 9728212713644099999/2307404288308864230*c_1100_0^11 - 3898785348042721337/461480857661772846*c_1100_0^10 + 93287870350864613897/2307404288308864230*c_1100_0^9 + 40828147326334162841/1153702144154432115*c_1100_0^8 - 10800150873158660407/153826952553924282*c_1100_0^7 - 159288067493125439579/2307404288308864230*c_1100_0^6 - 14000062751562586697/769134762769621410*c_1100_0^5 + 99720785293886211349/1153702144154432115*c_1100_0^4 - 3204832748729150182/230740428830886423*c_1100_0^3 + 501455536928510234/230740428830886423*c_1100_0^2 + 380029589212922851/2307404288308864230*c_1100_0 - 33398314554131711/461480857661772846, c_0101_3 + 71701023460347652/1153702144154432115*c_1100_0^16 + 166272985667979097/769134762769621410*c_1100_0^15 - 554808520649892794/1153702144154432115*c_1100_0^14 - 582097146236591434/384567381384810705*c_1100_0^13 - 723742598048333953/2307404288308864230*c_1100_0^12 - 2099222427229006694/230740428830886423*c_1100_0^11 - 16932146342283377381/2307404288308864230*c_1100_0^10 + 36115098513290710943/1153702144154432115*c_1100_0^9 - 96998300017930568797/2307404288308864230*c_1100_0^8 - 27375372865164572108/384567381384810705*c_1100_0^7 + 187200417993106388213/2307404288308864230*c_1100_0^6 + 65535633492352916861/769134762769621410*c_1100_0^5 + 59180409132465977144/1153702144154432115*c_1100_0^4 - 321076523878674971867/2307404288308864230*c_1100_0^3 + 13187734374230613947/461480857661772846*c_1100_0^2 - 11162992909128015727/2307404288308864230*c_1100_0 + 6875139196839016981/2307404288308864230, c_0101_6 - 1320180104717105686/1153702144154432115*c_1100_0^16 - 6152977313396505451/769134762769621410*c_1100_0^15 - 20956789891758337558/1153702144154432115*c_1100_0^14 - 10755271882161057788/384567381384810705*c_1100_0^13 - 166241945065482230501/2307404288308864230*c_1100_0^12 - 11450867347889752210/230740428830886423*c_1100_0^11 + 109631803353507262673/2307404288308864230*c_1100_0^10 - 369221302389112465934/1153702144154432115*c_1100_0^9 - 782244531484241563169/2307404288308864230*c_1100_0^8 + 174703625169722876219/384567381384810705*c_1100_0^7 + 1300214821179373347151/2307404288308864230*c_1100_0^6 + 177592700997861090247/769134762769621410*c_1100_0^5 - 698955449155769183657/1153702144154432115*c_1100_0^4 + 123311005590190383671/2307404288308864230*c_1100_0^3 - 4602281360317083719/461480857661772846*c_1100_0^2 + 24627105458337345871/2307404288308864230*c_1100_0 + 3142589229971059397/2307404288308864230, c_0101_7 - 1434040382151021073/1153702144154432115*c_1100_0^16 - 6629042045544646723/769134762769621410*c_1100_0^15 - 22190405970821540539/1153702144154432115*c_1100_0^14 - 22483871729404297393/769134762769621410*c_1100_0^13 - 176323298652858738353/2307404288308864230*c_1100_0^12 - 22685982324193535399/461480857661772846*c_1100_0^11 + 63719571829326726862/1153702144154432115*c_1100_0^10 - 806244427896010953679/2307404288308864230*c_1100_0^9 - 801003829167512327477/2307404288308864230*c_1100_0^8 + 396390301086109455079/769134762769621410*c_1100_0^7 + 678738483617978819339/1153702144154432115*c_1100_0^6 + 85156717335201633608/384567381384810705*c_1100_0^5 - 776077834425648503336/1153702144154432115*c_1100_0^4 + 209663065990041452693/2307404288308864230*c_1100_0^3 - 8974343246695743809/461480857661772846*c_1100_0^2 + 15785874435205881104/1153702144154432115*c_1100_0 + 1040255605782458338/1153702144154432115, c_1001_3 - 633104523712005122/1153702144154432115*c_1100_0^16 - 2919425770908182267/769134762769621410*c_1100_0^15 - 9705650353090087871/1153702144154432115*c_1100_0^14 - 9732686058406407377/769134762769621410*c_1100_0^13 - 76666794714974197807/2307404288308864230*c_1100_0^12 - 9499597432543170931/461480857661772846*c_1100_0^11 + 30051660362931855923/1153702144154432115*c_1100_0^10 - 353354957876943212441/2307404288308864230*c_1100_0^9 - 346006106150823176023/2307404288308864230*c_1100_0^8 + 180744462366538993721/769134762769621410*c_1100_0^7 + 303565034767029368926/1153702144154432115*c_1100_0^6 + 35786072322344113267/384567381384810705*c_1100_0^5 - 349993211175059192824/1153702144154432115*c_1100_0^4 + 93126046758956282137/2307404288308864230*c_1100_0^3 - 3188617717789795195/461480857661772846*c_1100_0^2 + 5979568059040236361/1153702144154432115*c_1100_0 + 467400447962599007/1153702144154432115, c_1100_0^17 + 7*c_1100_0^16 + 16*c_1100_0^15 + 25*c_1100_0^14 + 64*c_1100_0^13 + 45*c_1100_0^12 - 38*c_1100_0^11 + 280*c_1100_0^10 + 294*c_1100_0^9 - 377*c_1100_0^8 - 485*c_1100_0^7 - 242*c_1100_0^6 + 500*c_1100_0^5 - 44*c_1100_0^4 + 52*c_1100_0^3 - 18*c_1100_0^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.390 seconds, Total memory usage: 32.09MB