Magma V2.19-8 Tue Aug 20 2013 23:38:27 on localhost [Seed = 2901067924] Type ? for help. Type -D to quit. Loading file "K14n22185__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n22185 geometric_solution 8.87815966 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 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 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 0.724015955485 0.362743730747 0 5 7 6 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 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 0.766120418147 0.373798184732 3 0 4 6 2310 0132 2310 1023 0 0 0 0 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 -1 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 0.087611717447 1.294140462945 8 5 2 0 0132 1302 3201 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 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 0.367982734803 0.878026139223 7 2 0 5 2310 3201 0132 2310 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 -1 1 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 0.087611717447 1.294140462945 4 1 8 3 3201 0132 0132 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 -1 1 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 0.839620978493 0.736408178448 8 9 1 2 2103 0132 0132 1023 0 0 0 0 0 0 0 0 -1 0 0 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 1 -1 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 0.248190509217 0.651260321387 9 9 4 1 2310 1023 3201 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 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 -0.045366905662 0.999391633577 3 9 6 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 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 1.482593933748 1.203352401903 7 6 7 8 1023 0132 3201 0321 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137029726296 1.446899908574 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0011_6'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_0011_6'], 'c_1100_8' : negation(d['c_0110_6']), 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0101_2']), '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' : 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_6']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], '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_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : d['c_0101_0'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 55768382039063700233673674133914605/3895117581476700143690817633281\ 653937*c_1001_5^11 + 121990608583367492368097058903962145/389511758\ 1476700143690817633281653937*c_1001_5^10 + 44647323533503610909373302382876292753/7790235162953400287381635266\ 563307874*c_1001_5^9 + 159064684836499832677235706836661439249/7790\ 235162953400287381635266563307874*c_1001_5^8 + 9973672131121369076208578805843730229/29962442934436154951467827948\ 3204149*c_1001_5^7 + 5961762502540599343073590774982416010/95002867\ 840895125455873600811747657*c_1001_5^6 + 903786744038809265272054131967064634363/779023516295340028738163526\ 6563307874*c_1001_5^5 + 1332353314301131336862139771099629638001/77\ 90235162953400287381635266563307874*c_1001_5^4 + 916333471357483390866010935887996423277/779023516295340028738163526\ 6563307874*c_1001_5^3 + 883077067555685401271988712989355733049/779\ 0235162953400287381635266563307874*c_1001_5^2 + 2622099999735281395456188669854194410523/77902351629534002873816352\ 66563307874*c_1001_5 + 10575934853963213085037967117791979023/59924\ 8858688723099029356558966408298, c_0011_0 - 1, c_0011_3 + 2821954267730912653290273/7035190243455415657844565038*c_100\ 1_5^11 - 3337659107805616522810944/3517595121727707828922282519*c_1\ 001_5^10 - 565930905630775346125551693/3517595121727707828922282519\ *c_1001_5^9 - 1913919890763720748578180081/351759512172770782892228\ 2519*c_1001_5^8 - 343504565379502460420181467/541168480265801204449\ 581926*c_1001_5^7 - 1679672676192305573474241131/703519024345541565\ 7844565038*c_1001_5^6 - 71623586738350835295862775/7035190243455415\ 657844565038*c_1001_5^5 - 8471240731354377061076360627/703519024345\ 5415657844565038*c_1001_5^4 - 2928971402870868163383585537/70351902\ 43455415657844565038*c_1001_5^3 + 7032746138772383906627255932/3517\ 595121727707828922282519*c_1001_5^2 + 2897487960401592370029207738/3517595121727707828922282519*c_1001_5 + 807076904780674729257817497/541168480265801204449581926, c_0011_4 + 189424938666361884793477/3517595121727707828922282519*c_1001\ _5^11 + 2145682343444793999092737/7035190243455415657844565038*c_10\ 01_5^10 - 79186139012594696838194789/3517595121727707828922282519*c\ _1001_5^9 - 865957079321818562563986961/351759512172770782892228251\ 9*c_1001_5^8 - 194118941503970111894527632/270584240132900602224790\ 963*c_1001_5^7 - 3819434315345557569194795980/351759512172770782892\ 2282519*c_1001_5^6 - 4001011651104694217460883572/35175951217277078\ 28922282519*c_1001_5^5 - 4473764197203777699844764759/3517595121727\ 707828922282519*c_1001_5^4 - 8406901860650232217546460389/351759512\ 1727707828922282519*c_1001_5^3 - 12552427670333602639246562039/7035\ 190243455415657844565038*c_1001_5^2 - 1944068204088476101662814966/3517595121727707828922282519*c_1001_5 - 46809537899224290111972349/541168480265801204449581926, c_0011_6 - 817188389796238831191498/3517595121727707828922282519*c_1001\ _5^11 - 14770758731562778145964/3517595121727707828922282519*c_1001\ _5^10 + 660074233105481230156671833/7035190243455415657844565038*c_\ 1001_5^9 + 3787216699177141610230856753/703519024345541565784456503\ 8*c_1001_5^8 + 749791562969405023962097411/541168480265801204449581\ 926*c_1001_5^7 + 7411207758539205441514381254/351759512172770782892\ 2282519*c_1001_5^6 + 8393398529088433467386821149/35175951217277078\ 28922282519*c_1001_5^5 + 21028935681498202149433814235/703519024345\ 5415657844565038*c_1001_5^4 + 29170588028277917194579126971/7035190\ 243455415657844565038*c_1001_5^3 + 28659229123248190725247173209/7035190243455415657844565038*c_1001_5\ ^2 + 8462128733088094157663117345/3517595121727707828922282519*c_10\ 01_5 + 285217558296613824098013695/541168480265801204449581926, c_0101_0 - 1851873137231664393015839/7035190243455415657844565038*c_100\ 1_5^11 + 2229098371296429170653954/3517595121727707828922282519*c_1\ 001_5^10 + 369424208275932370921808100/3517595121727707828922282519\ *c_1001_5^9 + 1244644058318359118804994777/351759512172770782892228\ 2519*c_1001_5^8 + 166059611076101199840213255/270584240132900602224\ 790963*c_1001_5^7 + 3120565949994538429279414260/351759512172770782\ 8922282519*c_1001_5^6 + 4836921737763600403835738751/35175951217277\ 07828922282519*c_1001_5^5 + 7881018284502452196803952930/3517595121\ 727707828922282519*c_1001_5^4 + 11731740827295705887131409729/70351\ 90243455415657844565038*c_1001_5^3 + 8294699113253536156405063680/3517595121727707828922282519*c_1001_5^\ 2 + 17486825522497940346390902741/7035190243455415657844565038*c_10\ 01_5 + 259407477805835236072807507/270584240132900602224790963, c_0101_1 - 1333319982355718232115073/7035190243455415657844565038*c_100\ 1_5^11 + 2145995179186185612829260/3517595121727707828922282519*c_1\ 001_5^10 + 269617834704913245000266465/3517595121727707828922282519\ *c_1001_5^9 + 1335028503949379286489483441/703519024345541565784456\ 5038*c_1001_5^8 - 88107673204450089818425576/2705842401329006022247\ 90963*c_1001_5^7 - 5321302194655023166831255634/3517595121727707828\ 922282519*c_1001_5^6 - 7436819182603831050823530385/351759512172770\ 7828922282519*c_1001_5^5 - 8869928476111115223359328211/70351902434\ 55415657844565038*c_1001_5^4 - 18560411032227491248555371075/703519\ 0243455415657844565038*c_1001_5^3 - 45106761205191136040684225333/7035190243455415657844565038*c_1001_5\ ^2 - 16948168566028661137046675475/7035190243455415657844565038*c_1\ 001_5 - 1078774475634056240098616011/541168480265801204449581926, c_0101_2 - 483579765744800006317157/3517595121727707828922282519*c_1001\ _5^11 - 675590139529719750033405/7035190243455415657844565038*c_100\ 1_5^10 + 196730608279508603583584790/3517595121727707828922282519*c\ _1001_5^9 + 2499380608731301692929933399/70351902434554156578445650\ 38*c_1001_5^8 + 236556203706951004506199485/27058424013290060222479\ 0963*c_1001_5^7 + 4543401604047007695019259955/35175951217277078289\ 22282519*c_1001_5^6 + 5071225367746487554219070362/3517595121727707\ 828922282519*c_1001_5^5 + 14164659963150278672111035805/70351902434\ 55415657844565038*c_1001_5^4 + 10431616558879038189873068600/351759\ 5121727707828922282519*c_1001_5^3 + 6537106044642695875053547992/3517595121727707828922282519*c_1001_5^\ 2 + 6199461417835071225452342307/3517595121727707828922282519*c_100\ 1_5 + 95035236516234436621840238/270584240132900602224790963, c_0101_3 + 742179550795869763380087/7035190243455415657844565038*c_1001\ _5^11 + 90448063909474225208360/3517595121727707828922282519*c_1001\ _5^10 - 148997000387934799887894823/3517595121727707828922282519*c_\ 1001_5^9 - 1794336800809315383820984411/703519024345541565784456503\ 8*c_1001_5^8 - 211743927944677943132454094/270584240132900602224790\ 963*c_1001_5^7 - 4499210163156212011442521570/351759512172770782892\ 2282519*c_1001_5^6 - 4655619461131285304664882003/35175951217277078\ 28922282519*c_1001_5^5 - 10499271092681584658434466909/703519024345\ 5415657844565038*c_1001_5^4 - 16589335006558132073947570459/7035190\ 243455415657844565038*c_1001_5^3 - 21931342220997077299776868153/7035190243455415657844565038*c_1001_5\ ^2 - 2967689596059208387631349119/7035190243455415657844565038*c_10\ 01_5 - 189514751275773488903345395/541168480265801204449581926, c_0110_6 + 2817679083947457758875247/7035190243455415657844565038*c_100\ 1_5^11 - 1965099051367237162412540/3517595121727707828922282519*c_1\ 001_5^10 - 567611835480782844776056111/3517595121727707828922282519\ *c_1001_5^9 - 4923702105568010054131452263/703519024345541565784456\ 5038*c_1001_5^8 - 335380182684905796446482612/270584240132900602224\ 790963*c_1001_5^7 - 3677118131657400856053787506/351759512172770782\ 8922282519*c_1001_5^6 - 1874419739658739558506233621/35175951217277\ 07828922282519*c_1001_5^5 - 12128613709252054093509605607/703519024\ 3455415657844565038*c_1001_5^4 - 14618258980888772899339769843/7035\ 190243455415657844565038*c_1001_5^3 + 1244076763196981441130489027/7035190243455415657844565038*c_1001_5^\ 2 + 11012789373910244361783977237/7035190243455415657844565038*c_10\ 01_5 + 699744973082509262291925221/541168480265801204449581926, c_1001_5^12 - 2*c_1001_5^11 - 402*c_1001_5^10 - 1500*c_1001_5^9 - 2067*c_1001_5^8 - 2292*c_1001_5^7 - 4396*c_1001_5^6 - 9820*c_1001_5^5 - 8452*c_1001_5^4 - 2226*c_1001_5^3 - 13412*c_1001_5^2 - 6630*c_1001_5 - 4901 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB