Magma V2.19-8 Wed Aug 21 2013 00:05:04 on localhost [Seed = 2901066450] Type ? for help. Type -D to quit. Loading file "L9a16__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a16 geometric_solution 10.74025767 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 0321 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 0 0 0 0 0 1 0 -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 0 0 0.999638697630 0.738169590495 0 4 6 5 0132 0132 0132 0132 1 1 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 -1 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 0 0 0 0 0.641478932263 0.629877099871 6 0 7 7 0132 0132 0213 0132 1 1 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 -1 1 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520127387297 0.753227270886 5 0 8 0 0132 0321 0132 0132 1 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 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 0.352637671385 0.478035900520 9 1 6 10 0132 0132 1023 0132 1 1 0 0 0 0 0 0 0 0 -1 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 1 -1 0 1 0 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.141251824717 0.883906176347 3 7 1 11 0132 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.380054022719 1.429848721025 2 9 4 1 0132 0132 1023 0132 1 1 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 3 -2 -1 0 0 1 -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 1.086152644691 1.574640510976 5 2 2 8 1023 0213 0132 2310 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 0 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 0.601623793782 0.944332800613 7 11 11 3 3201 2031 2310 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 -1 0 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 1.134837556903 0.774929654479 4 6 10 10 0132 0132 0213 1230 1 1 0 0 0 1 0 -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 0 -3 0 3 -1 0 0 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 0.202584519049 0.533963682712 9 9 4 11 3012 0213 0132 1023 1 1 1 0 0 0 0 0 1 0 -1 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 -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 0.202584519049 0.533963682712 8 8 5 10 1302 3201 0132 1023 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399039274733 0.410369117901 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_11' : d['c_0110_10'], 'c_1010_10' : d['c_0110_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : 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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1100_1']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0110_10'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1100_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_8']), '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_0101_6'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : 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'], '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_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0101_8']), 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_6, c_0101_8, c_0110_10, c_1001_0, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 109874097001481390511897759787114796/16435716324608682700808275*c_1\ 100_1^9 - 182050756243179111765538789254839231/65742865298434730803\ 23310*c_1100_1^8 + 33267701842240506218957356389971457/597662411803\ 952098211210*c_1100_1^7 - 1068013996564133317500769337748637973/328\ 71432649217365401616550*c_1100_1^6 - 412841956199161754179989871474492629/16435716324608682700808275*c_1\ 100_1^5 - 36897065650909587276904856760658449/193361368524808031774\ 2150*c_1100_1^4 + 601157048266107763587517427183808027/164357163246\ 08682700808275*c_1100_1^3 + 767773825555416399883212807802373437/32\ 871432649217365401616550*c_1100_1^2 + 183534925729168384929683474378028047/32871432649217365401616550*c_1\ 100_1 - 2839943941380105787481812726847417/164357163246086827008082\ 75, c_0011_0 - 1, c_0011_10 - 14493643177775471596540447/966806842624040158871075*c_1100_\ 1^9 + 11930752467291738604721866/193361368524808031774215*c_1100_1^\ 8 - 433181571303572976580097/3515661245905600577713*c_1100_1^7 + 134552300476288052701713391/1933613685248080317742150*c_1100_1^6 + 112708220089232004155526731/1933613685248080317742150*c_1100_1^5 + 42387275300950642575324148/966806842624040158871075*c_1100_1^4 - 156211231202152780232876573/1933613685248080317742150*c_1100_1^3 - 105499641893315157697014859/1933613685248080317742150*c_1100_1^2 - 27741063350258823700086769/1933613685248080317742150*c_1100_1 + 304395162856111837450624/966806842624040158871075, c_0011_11 + 7697384564335559159028759/966806842624040158871075*c_1100_1\ ^9 - 6450101957202834353051877/193361368524808031774215*c_1100_1^8 + 474744729668718327983055/7031322491811201155426*c_1100_1^7 - 79026009839962723503049527/1933613685248080317742150*c_1100_1^6 - 28889701290066807587936041/966806842624040158871075*c_1100_1^5 - 40896212226877299132687387/1933613685248080317742150*c_1100_1^4 + 85739234430644101991078381/1933613685248080317742150*c_1100_1^3 + 53777867883662355898318673/1933613685248080317742150*c_1100_1^2 + 5709290879468819986369284/966806842624040158871075*c_1100_1 - 235497680013951905435253/966806842624040158871075, c_0011_3 + 4735934284550946168368609/386722737049616063548430*c_1100_1^\ 9 - 3878330663212317883703145/77344547409923212709686*c_1100_1^8 + 698831888249969566564123/7031322491811201155426*c_1100_1^7 - 20750718341342245823473891/386722737049616063548430*c_1100_1^6 - 19864395276862664459572981/386722737049616063548430*c_1100_1^5 - 13201188495847560059737131/386722737049616063548430*c_1100_1^4 + 12610020455418166767814649/193361368524808031774215*c_1100_1^3 + 17577082686391658900231279/386722737049616063548430*c_1100_1^2 + 1958494620556914506203037/193361368524808031774215*c_1100_1 + 143977837687695026736767/386722737049616063548430, c_0011_8 - 114568229100646227592056/17578306229528002888565*c_1100_1^9 + 94010365727791651074092/3515661245905600577713*c_1100_1^8 - 187550146620464816815607/3515661245905600577713*c_1100_1^7 + 519855298132936466086704/17578306229528002888565*c_1100_1^6 + 461744797795030393005504/17578306229528002888565*c_1100_1^5 + 301409497735271515189204/17578306229528002888565*c_1100_1^4 - 601000963531865882040492/17578306229528002888565*c_1100_1^3 - 396879874825022998406166/17578306229528002888565*c_1100_1^2 - 79719853383507445185736/17578306229528002888565*c_1100_1 + 3791582862421154777602/17578306229528002888565, c_0101_0 - 1, c_0101_6 - 26278905811066432558146421/1933613685248080317742150*c_1100_\ 1^9 + 10607148633858928666013889/193361368524808031774215*c_1100_1^\ 8 - 749124331992903191832987/7031322491811201155426*c_1100_1^7 + 49366065207281525790694897/966806842624040158871075*c_1100_1^6 + 62404919943927199946775702/966806842624040158871075*c_1100_1^5 + 75656185844586046334897689/1933613685248080317742150*c_1100_1^4 - 69863687295517745886561741/966806842624040158871075*c_1100_1^3 - 53889330489692489819396278/966806842624040158871075*c_1100_1^2 - 12180547044252055190523423/966806842624040158871075*c_1100_1 - 81080975217775632084743/1933613685248080317742150, c_0101_8 - 77582578101104261730072/87891531147640014442825*c_1100_1^9 + 50521175377103872709796/17578306229528002888565*c_1100_1^8 - 14121730835832974530632/3515661245905600577713*c_1100_1^7 - 254472257602989021287392/87891531147640014442825*c_1100_1^6 + 778702575491563412740853/87891531147640014442825*c_1100_1^5 + 291859294182834940429548/87891531147640014442825*c_1100_1^4 - 253358460611382115750974/87891531147640014442825*c_1100_1^3 - 580580398948881667568092/87891531147640014442825*c_1100_1^2 - 91267726460557983557447/87891531147640014442825*c_1100_1 + 8502285392650376480724/87891531147640014442825, c_0110_10 - 8477931833371944090413509/1933613685248080317742150*c_1100_\ 1^9 + 3613934567174119943426776/193361368524808031774215*c_1100_1^8 - 273439151266106307664045/7031322491811201155426*c_1100_1^7 + 25795485102118197691905838/966806842624040158871075*c_1100_1^6 + 11521092561659450735786483/966806842624040158871075*c_1100_1^5 + 23200654363009687591661181/1933613685248080317742150*c_1100_1^4 - 23181464264411298279357689/966806842624040158871075*c_1100_1^3 - 12167689826889539769420987/966806842624040158871075*c_1100_1^2 - 3019807225224180386291467/966806842624040158871075*c_1100_1 + 157842168722578656923003/1933613685248080317742150, c_1001_0 + 3923770495566701249292647/175783062295280028885650*c_1100_1^\ 9 - 3251126106236186020960141/35156612459056005777130*c_1100_1^8 + 652357965785718071758317/3515661245905600577713*c_1100_1^7 - 9437272872514055971850379/87891531147640014442825*c_1100_1^6 - 15142177007073368248162553/175783062295280028885650*c_1100_1^5 - 5520956930133052496525149/87891531147640014442825*c_1100_1^4 + 21529292513329918439911799/175783062295280028885650*c_1100_1^3 + 7042493463545314823956246/87891531147640014442825*c_1100_1^2 + 1585338396911036956296336/87891531147640014442825*c_1100_1 - 156316601020262011104499/175783062295280028885650, c_1001_1 - 30439234737450904137219297/1933613685248080317742150*c_1100_\ 1^9 + 24592475573664936313143181/386722737049616063548430*c_1100_1^\ 8 - 435775174299665552223443/3515661245905600577713*c_1100_1^7 + 58933299845462470654991979/966806842624040158871075*c_1100_1^6 + 138602671057899665256511753/1933613685248080317742150*c_1100_1^5 + 45405762854538184210872349/966806842624040158871075*c_1100_1^4 - 160341167254890406994452849/1933613685248080317742150*c_1100_1^3 - 61282399975353733977896996/966806842624040158871075*c_1100_1^2 - 15865751399323118795116386/966806842624040158871075*c_1100_1 + 402416215420177372489849/1933613685248080317742150, c_1100_1^10 - 3518/841*c_1100_1^9 + 7145/841*c_1100_1^8 - 4374/841*c_1100_1^7 - 2992/841*c_1100_1^6 - 2272/841*c_1100_1^5 + 4699/841*c_1100_1^4 + 2750/841*c_1100_1^3 + 583/841*c_1100_1^2 - 50/841*c_1100_1 + 1/841 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB