Magma V2.19-8 Tue Aug 20 2013 23:52:44 on localhost [Seed = 223045342] Type ? for help. Type -D to quit. Loading file "L13n355__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n355 geometric_solution 10.64769471 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 1 -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 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 0.810697257638 0.972618217303 0 5 2 6 0132 0132 2031 0132 0 1 0 1 0 0 -1 1 0 0 0 0 1 0 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 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 1.269527196438 0.715712683996 3 0 7 1 2031 0132 0132 1302 1 1 0 1 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 -1 0 1 1 0 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 0.494330685203 0.606666894292 8 9 2 0 0132 0132 1302 0132 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 0 0 0 0 0 0 0 -1 1 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 0.269527196438 0.715712683996 5 8 0 9 0132 0321 0132 0132 1 1 0 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 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 0.503850632426 0.412051773229 4 1 10 7 0132 0132 0132 3012 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402083908270 0.729056642506 9 11 1 10 0132 0132 0132 3120 0 1 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 -1 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 0.676686857105 0.394942472977 9 8 5 2 3012 0213 1230 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546637342198 0.454954292963 3 10 7 4 0132 1230 0213 0321 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 -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 0.356674038969 0.527072875330 6 3 4 7 0132 0132 0132 1230 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 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 0.778819974756 1.148292714158 6 11 8 5 3120 0321 3012 0132 0 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 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 -0.493220163670 0.890210181983 11 6 11 10 2031 0132 1302 0321 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 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 0.653015499535 0.433010499973 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_5'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_7'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), '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' : negation(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' : negation(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' : negation(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' : negation(d['c_1001_7']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_1001_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_10'], '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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_7'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0011_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0011_7'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1001_2']})} 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_7, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_7, c_1001_2, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1000568951726589345929310668/64044581380775366101167801125*c_1001_7\ ^11 + 35500627413356060246880892/64044581380775366101167801125*c_10\ 01_7^10 - 685288788398810063623885574/64044581380775366101167801125\ *c_1001_7^9 - 1287551747728445884386519319/640445813807753661011678\ 01125*c_1001_7^8 + 6314073155185310122229275941/2561783255231014644\ 04671204500*c_1001_7^7 - 36658198204434178652359322378/640445813807\ 75366101167801125*c_1001_7^6 + 13087614357301262988391037143/640445\ 81380775366101167801125*c_1001_7^5 - 481278417110090293690369701/3013862653212958404760837700*c_1001_7^4 - 521796971401721924850223356211/256178325523101464404671204500*c_1\ 001_7^3 + 44621152638991743363236287293/128089162761550732202335602\ 250*c_1001_7^2 - 16538542153057201669587678069/10247133020924058576\ 186848180*c_1001_7 + 54175270514216821838493416067/1280891627615507\ 32202335602250, c_0011_0 - 1, c_0011_10 + 430452490688403776/86482731452653522589*c_1001_7^11 + 123228925857051792/86482731452653522589*c_1001_7^10 - 2130696038056696848/86482731452653522589*c_1001_7^9 - 1800743486777258216/86482731452653522589*c_1001_7^8 - 3985126942986097832/86482731452653522589*c_1001_7^7 + 19692402944151283637/86482731452653522589*c_1001_7^6 + 5491337410032414526/86482731452653522589*c_1001_7^5 - 59739306575815700258/86482731452653522589*c_1001_7^4 - 23521015310352655060/86482731452653522589*c_1001_7^3 - 61741184045146079711/86482731452653522589*c_1001_7^2 - 56822206215327997934/86482731452653522589*c_1001_7 - 53945838661551111978/86482731452653522589, c_0011_11 + 526609978588627744/86482731452653522589*c_1001_7^11 - 159763322022605824/86482731452653522589*c_1001_7^10 + 1582695062282397872/86482731452653522589*c_1001_7^9 - 1854788503982238344/86482731452653522589*c_1001_7^8 + 4543911257274859226/86482731452653522589*c_1001_7^7 + 12060802887464359002/86482731452653522589*c_1001_7^6 + 1984985342933940704/86482731452653522589*c_1001_7^5 + 30532722129978512746/86482731452653522589*c_1001_7^4 + 2779258700758007348/86482731452653522589*c_1001_7^3 + 95411808601406962625/86482731452653522589*c_1001_7^2 - 8472702718720820980/86482731452653522589*c_1001_7 + 78932342740043557747/86482731452653522589, c_0011_7 - 472556692712831680/86482731452653522589*c_1001_7^11 + 732852931102672144/86482731452653522589*c_1001_7^10 - 759957663952998848/86482731452653522589*c_1001_7^9 + 2473951074238085880/86482731452653522589*c_1001_7^8 - 2319301273834351600/86482731452653522589*c_1001_7^7 - 12874164425306943343/86482731452653522589*c_1001_7^6 + 15123723480668050871/86482731452653522589*c_1001_7^5 - 14864937592103279805/86482731452653522589*c_1001_7^4 + 14603327002199319814/86482731452653522589*c_1001_7^3 + 7107898956736951783/86482731452653522589*c_1001_7^2 + 624454996278375708/2337371120341987097*c_1001_7 - 52234991001736121033/86482731452653522589, c_0101_1 - 1, c_0101_10 + 4155523678512/4431148816552417*c_1001_7^11 - 82696663814032/4431148816552417*c_1001_7^10 + 52806650349640/4431148816552417*c_1001_7^9 - 189194230509412/4431148816552417*c_1001_7^8 + 326001140333211/4431148816552417*c_1001_7^7 - 189141953959214/4431148816552417*c_1001_7^6 - 2127268086659995/4431148816552417*c_1001_7^5 + 1027655523454119/4431148816552417*c_1001_7^4 - 3889097487093787/4431148816552417*c_1001_7^3 + 792423682639448/4431148816552417*c_1001_7^2 - 5649292008592279/4431148816552417*c_1001_7 + 2455995610808914/4431148816552417, c_0101_2 + 1365903208746030272/432413657263267612945*c_1001_7^11 - 3984738770678774832/432413657263267612945*c_1001_7^10 - 1278788557805962064/86482731452653522589*c_1001_7^9 - 8110589127305538504/432413657263267612945*c_1001_7^8 + 10030567288538350752/432413657263267612945*c_1001_7^7 + 58529676170764384073/432413657263267612945*c_1001_7^6 - 112878829987182143338/432413657263267612945*c_1001_7^5 - 209787942567652284734/432413657263267612945*c_1001_7^4 - 69777490519801555396/432413657263267612945*c_1001_7^3 + 18698923531559224951/432413657263267612945*c_1001_7^2 - 347106411613741360862/432413657263267612945*c_1001_7 - 14941386069284779901/86482731452653522589, c_0101_5 + 736667643154430752/86482731452653522589*c_1001_7^11 - 2492111479298728576/86482731452653522589*c_1001_7^10 + 455631212076532000/86482731452653522589*c_1001_7^9 - 5819973971605410104/86482731452653522589*c_1001_7^8 + 4783093013917053810/86482731452653522589*c_1001_7^7 + 21603595462758327326/86482731452653522589*c_1001_7^6 - 1952413815259667841/2337371120341987097*c_1001_7^5 + 4713512891675182822/86482731452653522589*c_1001_7^4 - 67242280796250036651/86482731452653522589*c_1001_7^3 - 72730542123557540302/86482731452653522589*c_1001_7^2 - 68791511573410196056/86482731452653522589*c_1001_7 + 445484557742173665/86482731452653522589, c_0101_7 + 1052236427135587104/86482731452653522589*c_1001_7^11 - 588804430280598080/86482731452653522589*c_1001_7^10 + 2089283539705024400/86482731452653522589*c_1001_7^9 - 3598116202149346280/86482731452653522589*c_1001_7^8 + 3157890357099732298/86482731452653522589*c_1001_7^7 + 30459126193649026638/86482731452653522589*c_1001_7^6 - 14775351881314515906/86482731452653522589*c_1001_7^5 + 43842001541432752348/86482731452653522589*c_1001_7^4 - 5123929309991826238/86482731452653522589*c_1001_7^3 + 32969710350969192328/86482731452653522589*c_1001_7^2 + 9864262347423394915/86482731452653522589*c_1001_7 + 32096498361359258704/86482731452653522589, c_1001_2 - 7363158280746175344/432413657263267612945*c_1001_7^11 - 1398947173178629536/432413657263267612945*c_1001_7^10 + 1622811656228293256/86482731452653522589*c_1001_7^9 + 9252170310681883228/432413657263267612945*c_1001_7^8 + 16102718968636562581/432413657263267612945*c_1001_7^7 - 268981309533841808681/432413657263267612945*c_1001_7^6 - 23991359928802877919/432413657263267612945*c_1001_7^5 + 406860152103484733963/432413657263267612945*c_1001_7^4 - 384456336655135234433/432413657263267612945*c_1001_7^3 - 45100744256317434337/432413657263267612945*c_1001_7^2 + 128835640671877929739/432413657263267612945*c_1001_7 + 79443803194376524569/86482731452653522589, c_1001_5 + 607221569201312256/86482731452653522589*c_1001_7^11 - 1908393002798761584/86482731452653522589*c_1001_7^10 + 2075269164726436080/86482731452653522589*c_1001_7^9 - 5491561897926867144/86482731452653522589*c_1001_7^8 + 7941509434433145236/86482731452653522589*c_1001_7^7 + 11538079581402533681/86482731452653522589*c_1001_7^6 - 48905567188000380368/86482731452653522589*c_1001_7^5 + 41977753621970416697/86482731452653522589*c_1001_7^4 - 78465480310605353998/86482731452653522589*c_1001_7^3 + 31950588189558702780/86482731452653522589*c_1001_7^2 - 148566466684310573080/86482731452653522589*c_1001_7 + 63981915516837203890/86482731452653522589, c_1001_7^12 + c_1001_7^11 + 1/2*c_1001_7^10 - 3/4*c_1001_7^9 - 63/16*c_1001_7^8 + 263/8*c_1001_7^7 + 227/8*c_1001_7^6 + 55/8*c_1001_7^5 + 227/4*c_1001_7^4 + 1/8*c_1001_7^3 + 145/8*c_1001_7^2 - 251/8*c_1001_7 + 985/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB