Magma V2.19-8 Tue Aug 20 2013 23:40:27 on localhost [Seed = 1343632605] Type ? for help. Type -D to quit. Loading file "L11a276__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a276 geometric_solution 9.54212078 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 -1 1 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 -1 3 -2 1 0 -1 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 1.216838457477 1.342854200713 0 2 6 5 0132 0321 0132 0132 0 1 1 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 1 0 -1 -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 0.549774718234 0.409136064300 7 0 8 1 0132 0132 0132 0321 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 0 0 0 0 1 0 -1 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 0.922467968015 0.801482968974 9 6 6 0 0132 2031 0321 0132 0 1 1 1 0 0 -1 1 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 3 -3 0 0 -1 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332698058576 0.886202245806 5 8 0 7 3120 0132 0132 1023 0 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 0 0 -3 3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453967693217 0.327709679656 9 6 1 4 2103 2103 0132 3120 0 1 0 1 0 0 0 0 0 0 0 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 0 1 -1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600673656234 0.454313253199 3 5 3 1 1302 2103 0321 0132 0 1 0 1 0 -1 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 0 3 -3 0 0 0 1 -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 0.542236986054 0.720111249452 2 9 9 4 0132 1302 3012 1023 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 0 0 0 0 0 0 0 0 1 -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 0.773498436574 0.928537492498 10 4 10 2 0132 0132 2310 0132 0 0 0 0 0 -1 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 0 3 -3 0 0 0 0 0 0 1 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.029633222894 0.550182983988 3 7 5 7 0132 1230 2103 2031 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247953283067 1.016478280472 8 8 10 10 0132 3201 2031 1302 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587286413572 0.209478768114 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_10']), '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' : 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' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_4']), 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : d['c_0101_10'], 'c_1010_7' : d['c_0110_4'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_1001_2'], '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], '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_0110_10' : d['c_0101_8'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_10'], '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_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], '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_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_1']})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 40993731733028416042638208669/32327632564353181587016034992*c_1001_\ 2^12 + 9059770343969487043895686253/8081908141088295396754008748*c_\ 1001_2^11 + 185519301366085600552692544163/808190814108829539675400\ 8748*c_1001_2^10 - 6227058699518456602526428139185/3232763256435318\ 1587016034992*c_1001_2^9 - 18521127043464035393109361786217/1616381\ 6282176590793508017496*c_1001_2^8 - 40149480306442277086558271923757/16163816282176590793508017496*c_10\ 01_2^7 - 91373253750182438803661367491647/1616381628217659079350801\ 7496*c_1001_2^6 - 181307035008194354682021862147987/161638162821765\ 90793508017496*c_1001_2^5 - 398268926241716869132099333547593/32327\ 632564353181587016034992*c_1001_2^4 - 8654111149645955250518104159321/621685241622176568981077596*c_1001_\ 2^3 - 25530051535738805335127082456594/2020477035272073849188502187\ *c_1001_2^2 - 171752005565700688320932174137715/3232763256435318158\ 7016034992*c_1001_2 - 36406998614538460971848143451745/808190814108\ 8295396754008748, c_0011_0 - 1, c_0011_10 - 3344873278824605640691/11955485415811087865020723*c_1001_2^\ 12 - 7227262360274984575893/47821941663244351460082892*c_1001_2^11 + 300741681967467619408133/47821941663244351460082892*c_1001_2^10 - 902342555847023031481837/23910970831622175730041446*c_1001_2^9 - 7738287533507296089964135/23910970831622175730041446*c_1001_2^8 - 18136225486701440331373627/23910970831622175730041446*c_1001_2^7 - 36676068961240384025437745/23910970831622175730041446*c_1001_2^6 - 80403659845626344245025775/23910970831622175730041446*c_1001_2^5 - 89808165951169702757758889/23910970831622175730041446*c_1001_2^4 - 154263974396863063525232801/47821941663244351460082892*c_1001_2^3 - 153048502765951454058305045/47821941663244351460082892*c_1001_2^2 - 3742153778000814540424294/11955485415811087865020723*c_1001_2 + 168177308969780108926392/11955485415811087865020723, c_0011_3 + 15409155766067769492853/191287766652977405840331568*c_1001_2\ ^12 + 9533834210773914965603/191287766652977405840331568*c_1001_2^1\ 1 - 254078154048179841473757/95643883326488702920165784*c_1001_2^10 + 1158431175333566799014821/95643883326488702920165784*c_1001_2^9 + 10300741905043737002320207/95643883326488702920165784*c_1001_2^8 + 8616644627263183377749555/95643883326488702920165784*c_1001_2^7 - 19399643098030155472952705/95643883326488702920165784*c_1001_2^6 - 29057182715285197966065041/95643883326488702920165784*c_1001_2^5 - 329899066582100631134920719/191287766652977405840331568*c_1001_2^4 - 729631288333005416112099875/191287766652977405840331568*c_1001_2^3 - 164384711472357916264652175/47821941663244351460082892*c_1001_2^2 - 86954941945442657524154827/23910970831622175730041446*c_1001_2 - 23182233100329099376434632/11955485415811087865020723, c_0011_5 - 1908989578508798839554/11955485415811087865020723*c_1001_2^1\ 2 + 26005329564926575494065/47821941663244351460082892*c_1001_2^11 + 129067994382587986025185/47821941663244351460082892*c_1001_2^10 - 392178295208223959556535/11955485415811087865020723*c_1001_2^9 - 1992472305003912272428885/23910970831622175730041446*c_1001_2^8 + 2157677640810845840911817/23910970831622175730041446*c_1001_2^7 + 986032544835033391820019/23910970831622175730041446*c_1001_2^6 - 2850951180223794225229/23910970831622175730041446*c_1001_2^5 + 33192124659461906284721099/23910970831622175730041446*c_1001_2^4 + 26395913649696606103619761/47821941663244351460082892*c_1001_2^3 - 9446368094620820204552909/47821941663244351460082892*c_1001_2^2 + 107998863960676156649865/23910970831622175730041446*c_1001_2 - 10052903450152990536571743/11955485415811087865020723, c_0011_6 - 37121989308098285535183/95643883326488702920165784*c_1001_2^\ 12 + 73674769022317143609145/95643883326488702920165784*c_1001_2^11 + 172014773769347116963817/23910970831622175730041446*c_1001_2^10 - 3294584710274823418664793/47821941663244351460082892*c_1001_2^9 - 13905901085327083005432003/47821941663244351460082892*c_1001_2^8 - 12997060607434865087536403/47821941663244351460082892*c_1001_2^7 - 33128797630238451843841799/47821941663244351460082892*c_1001_2^6 - 68081882272251983793111719/47821941663244351460082892*c_1001_2^5 + 61099534333044449504272025/95643883326488702920165784*c_1001_2^4 - 1184233701873551808405093/95643883326488702920165784*c_1001_2^3 - 31820068755120159484809877/47821941663244351460082892*c_1001_2^2 + 15734908994216184076269572/11955485415811087865020723*c_1001_2 - 15023877029317079005143801/11955485415811087865020723, c_0101_0 - 1, c_0101_1 + 1435883700315806801137/11955485415811087865020723*c_1001_2^1\ 2 + 16616295962600780034979/23910970831622175730041446*c_1001_2^11 - 42918421896219908345737/11955485415811087865020723*c_1001_2^10 + 117985965430575112368767/23910970831622175730041446*c_1001_2^9 + 2872907614251691908767625/11955485415811087865020723*c_1001_2^8 + 10146951563756143086142722/11955485415811087865020723*c_1001_2^7 + 18831050753037708708628882/11955485415811087865020723*c_1001_2^6 + 40200404447223060225400273/11955485415811087865020723*c_1001_2^5 + 61500145305315804521239994/11955485415811087865020723*c_1001_2^4 + 90329944023279834814426281/23910970831622175730041446*c_1001_2^3 + 35900533667832658463438034/11955485415811087865020723*c_1001_2^2 + 31503277251584480967539899/23910970831622175730041446*c_1001_2 - 10221080759122770645498135/11955485415811087865020723, c_0101_10 - 35623743712428590305505/47821941663244351460082892*c_1001_2\ ^12 + 30910258522421259026223/23910970831622175730041446*c_1001_2^1\ 1 + 685953536395176676698893/47821941663244351460082892*c_1001_2^10 - 1533568839823886121446661/11955485415811087865020723*c_1001_2^9 - 7148363905378565453181733/11955485415811087865020723*c_1001_2^8 - 7606394696924859616281740/11955485415811087865020723*c_1001_2^7 - 14070594637836782052323997/11955485415811087865020723*c_1001_2^6 - 32252244330948851235489856/11955485415811087865020723*c_1001_2^5 + 49505911386106013356119425/47821941663244351460082892*c_1001_2^4 + 24251273249922692740727924/11955485415811087865020723*c_1001_2^3 - 13095773612601613382209151/47821941663244351460082892*c_1001_2^2 + 44641459506709021605783865/11955485415811087865020723*c_1001_2 - 7273160684047058246426354/11955485415811087865020723, c_0101_8 + 83217045555623560792045/95643883326488702920165784*c_1001_2^\ 12 - 119738583571620378248081/95643883326488702920165784*c_1001_2^1\ 1 - 743004977364156215666823/47821941663244351460082892*c_1001_2^10 + 6703217179572314461378221/47821941663244351460082892*c_1001_2^9 + 34523833275920371649108147/47821941663244351460082892*c_1001_2^8 + 59185886780010492323279739/47821941663244351460082892*c_1001_2^7 + 122244877237905527090989467/47821941663244351460082892*c_1001_2^6 + 242083314962745913657689155/47821941663244351460082892*c_1001_2^5 + 333132425585774715548414769/95643883326488702920165784*c_1001_2^4 + 210218766444118543000341865/95643883326488702920165784*c_1001_2^3 + 33081384196616510278558691/11955485415811087865020723*c_1001_2^2 - 25248429800494054154059174/11955485415811087865020723*c_1001_2 + 15565024977479015759630/11955485415811087865020723, c_0110_4 - 6036233480005091115226/11955485415811087865020723*c_1001_2^1\ 2 + 9477400818118684739835/23910970831622175730041446*c_1001_2^11 + 236128569644629859100633/23910970831622175730041446*c_1001_2^10 - 915740209442582080371171/11955485415811087865020723*c_1001_2^9 - 5698196694710368620312649/11955485415811087865020723*c_1001_2^8 - 11064102151062833733310396/11955485415811087865020723*c_1001_2^7 - 20846209034186636257915778/11955485415811087865020723*c_1001_2^6 - 42780507555719665924439181/11955485415811087865020723*c_1001_2^5 - 37212951706712032607722592/11955485415811087865020723*c_1001_2^4 - 40854383570544315851363961/23910970831622175730041446*c_1001_2^3 - 58173151259568115621604225/23910970831622175730041446*c_1001_2^2 - 13246602884467700735300552/11955485415811087865020723*c_1001_2 - 3129156725297624236484869/11955485415811087865020723, c_1001_2^13 - c_1001_2^12 - 18*c_1001_2^11 + 154*c_1001_2^10 + 886*c_1001_2^9 + 1854*c_1001_2^8 + 4230*c_1001_2^7 + 8326*c_1001_2^6 + 8685*c_1001_2^5 + 9841*c_1001_2^4 + 8676*c_1001_2^3 + 3024*c_1001_2^2 + 3056*c_1001_2 - 416 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB