Magma V2.19-8 Tue Aug 20 2013 23:38:16 on localhost [Seed = 509114930] Type ? for help. Type -D to quit. Loading file "K12n340__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n340 geometric_solution 9.32745811 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 1 -1 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 0.422685915805 0.893420152251 0 5 2 6 0132 0132 2031 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390834486073 0.966512291767 6 0 7 1 1302 0132 0132 1302 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 -1 1 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 0.958137233100 1.881093145246 5 6 8 0 0132 1302 0132 0132 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 0 0 0 0 0.637820361572 0.702956113345 7 5 0 9 0213 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 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 -0.264922595291 0.531012428262 3 1 9 4 0132 0132 0213 0321 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 -1 0 1 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 0.391127288837 0.641389442370 9 2 1 3 0213 2031 0132 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176264369456 1.314302865916 4 8 8 2 0213 0132 3201 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 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 0.493210174929 0.608735623299 7 7 9 3 2310 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 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 0.623845940652 0.934801621242 6 5 4 8 0213 0213 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 0.420645450012 1.541932603089 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0110_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_2']), 'c_1001_8' : d['c_1001_2'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_7'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_8']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0011_7'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0101_8'])})} 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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_8, c_0110_2, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 29139926374669186840873/27484351100852433926250*c_1100_0^16 + 12391665300350683571333/1194971786993584083750*c_1100_0^15 - 110287008211121620043783/5496870220170486785250*c_1100_0^14 - 133281337476139811420172/4580725183475405654375*c_1100_0^13 + 3856141684887349770203231/27484351100852433926250*c_1100_0^12 + 171595926222332658428281/27484351100852433926250*c_1100_0^11 - 6350014571100094081823822/13742175550426216963125*c_1100_0^10 + 3691598085249308194355783/27484351100852433926250*c_1100_0^9 + 12071595371582904451195304/13742175550426216963125*c_1100_0^8 - 9379107080298992599253153/27484351100852433926250*c_1100_0^7 - 13065681444249083862617507/13742175550426216963125*c_1100_0^6 + 3357401403504331347497021/9161450366950811308750*c_1100_0^5 + 5138256067652873706757493/9161450366950811308750*c_1100_0^4 - 5958529420016106104403073/27484351100852433926250*c_1100_0^3 - 1592623111163977875981449/27484351100852433926250*c_1100_0^2 - 463355267567817235943371/9161450366950811308750*c_1100_0 + 75417737324513420337483/9161450366950811308750, c_0011_0 - 1, c_0011_4 + 7140882345798094/59898335187648325*c_1100_0^16 - 149122698834162319/119796670375296650*c_1100_0^15 + 35641144223574508/11979667037529665*c_1100_0^14 + 268618038188048797/119796670375296650*c_1100_0^13 - 2225316074988551511/119796670375296650*c_1100_0^12 + 973689568371056069/119796670375296650*c_1100_0^11 + 3437922303369006552/59898335187648325*c_1100_0^10 - 2751890073196269194/59898335187648325*c_1100_0^9 - 12575657946498680613/119796670375296650*c_1100_0^8 + 11769962763206455203/119796670375296650*c_1100_0^7 + 6590878721225360932/59898335187648325*c_1100_0^6 - 6396650144220021569/59898335187648325*c_1100_0^5 - 3668496935071925552/59898335187648325*c_1100_0^4 + 3831704455053881149/59898335187648325*c_1100_0^3 + 60894807972306862/59898335187648325*c_1100_0^2 - 195741440490506107/119796670375296650*c_1100_0 - 40738973927722079/119796670375296650, c_0011_6 - 1161905128970464/83857669262707655*c_1100_0^16 + 13738174159005096/83857669262707655*c_1100_0^15 - 46189974291543504/83857669262707655*c_1100_0^14 + 22789474547090721/83857669262707655*c_1100_0^13 + 198770255639751793/83857669262707655*c_1100_0^12 - 65828749216446761/16771533852541531*c_1100_0^11 - 393888891605813251/83857669262707655*c_1100_0^10 + 1163510601099115923/83857669262707655*c_1100_0^9 + 287890606204861208/83857669262707655*c_1100_0^8 - 63017381342598963/2395933407505933*c_1100_0^7 + 72703890601399266/16771533852541531*c_1100_0^6 + 464530113198546628/16771533852541531*c_1100_0^5 - 176928545472753289/16771533852541531*c_1100_0^4 - 274056773482502952/16771533852541531*c_1100_0^3 + 174202499177216075/16771533852541531*c_1100_0^2 + 17243573849296587/83857669262707655*c_1100_0 - 41066174394249087/83857669262707655, c_0011_7 + 125103537138131999/838576692627076550*c_1100_0^16 - 1256307120516217547/838576692627076550*c_1100_0^15 + 107939029955657067/33543067705083062*c_1100_0^14 + 1369541037309468563/419288346313538275*c_1100_0^13 - 8771610817708537914/419288346313538275*c_1100_0^12 + 4312085146383998007/838576692627076550*c_1100_0^11 + 27103637636634276651/419288346313538275*c_1100_0^10 - 33293439056480261359/838576692627076550*c_1100_0^9 - 48361547959162848267/419288346313538275*c_1100_0^8 + 10789600470818668937/119796670375296650*c_1100_0^7 + 47744316845222241946/419288346313538275*c_1100_0^6 - 42655773359995111432/419288346313538275*c_1100_0^5 - 23659877355799651831/419288346313538275*c_1100_0^4 + 27100379213597974397/419288346313538275*c_1100_0^3 - 5514392645935657403/838576692627076550*c_1100_0^2 - 905841911091490238/419288346313538275*c_1100_0 + 34071844249326193/838576692627076550, c_0011_9 - 42064197689958432/419288346313538275*c_1100_0^16 + 863160687077368417/838576692627076550*c_1100_0^15 - 39060009802526372/16771533852541531*c_1100_0^14 - 1833044598294671411/838576692627076550*c_1100_0^13 + 12542666210532291733/838576692627076550*c_1100_0^12 - 3663603966801721427/838576692627076550*c_1100_0^11 - 19908222226259149561/419288346313538275*c_1100_0^10 + 12514069604687979837/419288346313538275*c_1100_0^9 + 74118388793567922499/838576692627076550*c_1100_0^8 - 7762548547931537757/119796670375296650*c_1100_0^7 - 39306397091551118906/419288346313538275*c_1100_0^6 + 28811579257508241577/419288346313538275*c_1100_0^5 + 21897978341782768566/419288346313538275*c_1100_0^4 - 16746431874387356592/419288346313538275*c_1100_0^3 - 655888464123082546/419288346313538275*c_1100_0^2 - 2665902808278083939/838576692627076550*c_1100_0 + 432119952992748077/838576692627076550, c_0101_8 + 116780236760122731/838576692627076550*c_1100_0^16 - 1160957948955096413/838576692627076550*c_1100_0^15 + 481329741625357559/167715338525415310*c_1100_0^14 + 1381732674955637342/419288346313538275*c_1100_0^13 - 8043742498000153566/419288346313538275*c_1100_0^12 + 2542991241979996373/838576692627076550*c_1100_0^11 + 25436645058364846004/419288346313538275*c_1100_0^10 - 27036734726811737741/838576692627076550*c_1100_0^9 - 46411280621988259433/419288346313538275*c_1100_0^8 + 9293530432678341543/119796670375296650*c_1100_0^7 + 47538246792771638369/419288346313538275*c_1100_0^6 - 38472392630808330748/419288346313538275*c_1100_0^5 - 25642651219873062684/419288346313538275*c_1100_0^4 + 25380742447607556858/419288346313538275*c_1100_0^3 - 1251587332597848217/838576692627076550*c_1100_0^2 - 962416946403098112/419288346313538275*c_1100_0 - 132194228360574313/838576692627076550, c_0110_2 + 571601730795992/83857669262707655*c_1100_0^16 - 6306320706134392/83857669262707655*c_1100_0^15 + 19435489799586536/83857669262707655*c_1100_0^14 - 2607208590570632/16771533852541531*c_1100_0^13 - 70270810717201319/83857669262707655*c_1100_0^12 + 141074683000062298/83857669262707655*c_1100_0^11 + 67436910583636917/83857669262707655*c_1100_0^10 - 456205573912866518/83857669262707655*c_1100_0^9 + 233447192356372037/83857669262707655*c_1100_0^8 + 117591930345931003/11979667037529665*c_1100_0^7 - 884599727046137652/83857669262707655*c_1100_0^6 - 859468498670368586/83857669262707655*c_1100_0^5 + 1185383626155512442/83857669262707655*c_1100_0^4 + 513376742647855021/83857669262707655*c_1100_0^3 - 850619505725903827/83857669262707655*c_1100_0^2 + 23250998814156508/83857669262707655*c_1100_0 + 8098914532690619/16771533852541531, c_1001_0 + 115960429226919357/838576692627076550*c_1100_0^16 - 1142447212954665321/838576692627076550*c_1100_0^15 + 45908605089340530/16771533852541531*c_1100_0^14 + 2864062441173860893/838576692627076550*c_1100_0^13 - 7740130211939662052/419288346313538275*c_1100_0^12 + 590078090918730238/419288346313538275*c_1100_0^11 + 24637086698002770843/419288346313538275*c_1100_0^10 - 21137250765880827687/838576692627076550*c_1100_0^9 - 45284061945013408456/419288346313538275*c_1100_0^8 + 3635341165968902433/59898335187648325*c_1100_0^7 + 46805368319129390503/419288346313538275*c_1100_0^6 - 28573910765669142351/419288346313538275*c_1100_0^5 - 25757908551663493858/419288346313538275*c_1100_0^4 + 17637138054615735121/419288346313538275*c_1100_0^3 - 61862193260829029/838576692627076550*c_1100_0^2 + 1274971189525582291/419288346313538275*c_1100_0 - 224638516153638163/419288346313538275, c_1001_2 + 7115939817542463/59898335187648325*c_1100_0^16 - 72944227832629744/59898335187648325*c_1100_0^15 + 33223379548557021/11979667037529665*c_1100_0^14 + 143518977287277772/59898335187648325*c_1100_0^13 - 1051179409631824411/59898335187648325*c_1100_0^12 + 364509265029100519/59898335187648325*c_1100_0^11 + 3263394532007130404/59898335187648325*c_1100_0^10 - 2328557618992933413/59898335187648325*c_1100_0^9 - 5892159352551980888/59898335187648325*c_1100_0^8 + 5174679303366883553/59898335187648325*c_1100_0^7 + 5969695786753235864/59898335187648325*c_1100_0^6 - 5841838340183748663/59898335187648325*c_1100_0^5 - 3101592776897399629/59898335187648325*c_1100_0^4 + 3721350843569432548/59898335187648325*c_1100_0^3 - 230123397536744001/59898335187648325*c_1100_0^2 - 105396918607065707/59898335187648325*c_1100_0 - 1159557080975354/59898335187648325, c_1100_0^17 - 10*c_1100_0^16 + 21*c_1100_0^15 + 24*c_1100_0^14 - 140*c_1100_0^13 + 22*c_1100_0^12 + 447*c_1100_0^11 - 227*c_1100_0^10 - 829*c_1100_0^9 + 528*c_1100_0^8 + 871*c_1100_0^7 - 592*c_1100_0^6 - 486*c_1100_0^5 + 372*c_1100_0^4 + 11*c_1100_0^3 + 5*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB