Magma V2.19-8 Tue Aug 20 2013 23:40:27 on localhost [Seed = 1949438201] Type ? for help. Type -D to quit. Loading file "L11a275__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a275 geometric_solution 9.18717531 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400648005545 0.657253806218 0 0 5 4 0132 1302 0132 0132 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 0 -1 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 0.323802421031 1.109286521789 6 0 6 7 0132 0132 3012 0132 1 0 1 1 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 0 -1 0 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238629653361 1.653401314101 8 9 4 0 0132 0132 3012 0132 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 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 -0.409503177389 1.122994430286 5 3 1 10 1302 1230 0132 0132 0 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 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 0.398785570512 0.211410493576 9 4 10 1 3201 2031 2310 0132 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 -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 -0.105387077884 0.510822688104 2 2 8 7 0132 1230 1230 1230 0 0 1 1 0 0 0 0 0 0 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 1 -1 0 -1 0 -2 3 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229783783355 0.499001321808 6 8 2 9 3012 3120 0132 3120 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -3 2 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570778648456 0.491148489225 3 7 9 6 0132 3120 3120 3012 1 0 0 1 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 -1 0 0 1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.246639494933 0.569780271926 7 3 8 5 3120 0132 3120 2310 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 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 0.035120247601 0.878198800866 10 5 4 10 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901229109616 1.812924022822 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_7'], 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_1001_0']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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_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_5'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0011_7']), '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_10' : d['c_0011_10'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_5, c_0011_7, c_0101_10, c_0101_3, c_0101_9, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 101453312430375729373/418674011150397312*c_1001_4^12 + 40002950383335496989/11629833643066592*c_1001_4^11 - 1587680816914881156667/69779001858399552*c_1001_4^10 + 4906900717934349847013/52334251393799664*c_1001_4^9 - 112964401328217141290311/418674011150397312*c_1001_4^8 + 60072485241300230883367/104668502787599328*c_1001_4^7 - 97301290754400735103075/104668502787599328*c_1001_4^6 + 60766456319928971084689/52334251393799664*c_1001_4^5 - 467090520314743038454483/418674011150397312*c_1001_4^4 + 28190283977611413537547/34889500929199776*c_1001_4^3 - 176076424590919775619323/418674011150397312*c_1001_4^2 + 29668410171016672974601/209337005575198656*c_1001_4 - 9766436946069174670603/418674011150397312, c_0011_0 - 1, c_0011_10 - 21922766910/245065611157*c_1001_4^12 + 498045940692/245065611157*c_1001_4^11 - 4485045551627/245065611157*c_1001_4^10 + 23064354631640/245065611157*c_1001_4^9 - 78698237654061/245065611157*c_1001_4^8 + 192150273142336/245065611157*c_1001_4^7 - 349599105500914/245065611157*c_1001_4^6 + 483624404020339/245065611157*c_1001_4^5 - 510739407166785/245065611157*c_1001_4^4 + 405831903734344/245065611157*c_1001_4^3 - 232788565293192/245065611157*c_1001_4^2 + 87730059059636/245065611157*c_1001_4 - 16763432249806/245065611157, c_0011_3 - 1132962167128/245065611157*c_1001_4^12 + 16032925755309/245065611157*c_1001_4^11 - 105896279087204/245065611157*c_1001_4^10 + 436469171393726/245065611157*c_1001_4^9 - 1258333067212507/245065611157*c_1001_4^8 + 2685707752573805/245065611157*c_1001_4^7 - 4371392910711404/245065611157*c_1001_4^6 + 5494866514141918/245065611157*c_1001_4^5 - 5321729287451308/245065611157*c_1001_4^4 + 3892815483748833/245065611157*c_1001_4^3 - 2052560403479888/245065611157*c_1001_4^2 + 704070031398663/245065611157*c_1001_4 - 119172523853428/245065611157, c_0011_4 + 1081716098694/245065611157*c_1001_4^12 - 15515453923422/245065611157*c_1001_4^11 + 103761973609458/245065611157*c_1001_4^10 - 432414354531607/245065611157*c_1001_4^9 + 1258844631612435/245065611157*c_1001_4^8 - 2710337109873606/245065611157*c_1001_4^7 + 4446888467165402/245065611157*c_1001_4^6 - 5632435672669692/245065611157*c_1001_4^5 + 5496948945407291/245065611157*c_1001_4^4 - 4054139783996050/245065611157*c_1001_4^3 + 2157869066252344/245065611157*c_1001_4^2 - 749170851654530/245065611157*c_1001_4 + 129071565419576/245065611157, c_0011_5 + 1, c_0011_7 + 1168115703887/245065611157*c_1001_4^12 - 16102878168925/245065611157*c_1001_4^11 + 103868668726881/245065611157*c_1001_4^10 - 419081569182366/245065611157*c_1001_4^9 + 1184361634634123/245065611157*c_1001_4^8 - 2479684391868921/245065611157*c_1001_4^7 + 3959983914195469/245065611157*c_1001_4^6 - 4882617242659875/245065611157*c_1001_4^5 + 4634639368659495/245065611157*c_1001_4^4 - 3317438339487064/245065611157*c_1001_4^3 + 1706768002673588/245065611157*c_1001_4^2 - 568519779358199/245065611157*c_1001_4 + 92708907011834/245065611157, c_0101_10 + 26918479456/245065611157*c_1001_4^12 - 642971374424/245065611157*c_1001_4^11 + 5908799516022/245065611157*c_1001_4^10 - 30756899658246/245065611157*c_1001_4^9 + 106042160195252/245065611157*c_1001_4^8 - 261687434358096/245065611157*c_1001_4^7 + 481524639476585/245065611157*c_1001_4^6 - 673966537903256/245065611157*c_1001_4^5 + 720085126203231/245065611157*c_1001_4^4 - 578474689544534/245065611157*c_1001_4^3 + 334971632559714/245065611157*c_1001_4^2 - 127037499989830/245065611157*c_1001_4 + 24301335815802/245065611157, c_0101_3 + 26918479456/245065611157*c_1001_4^12 - 642971374424/245065611157*c_1001_4^11 + 5908799516022/245065611157*c_1001_4^10 - 30756899658246/245065611157*c_1001_4^9 + 106042160195252/245065611157*c_1001_4^8 - 261687434358096/245065611157*c_1001_4^7 + 481524639476585/245065611157*c_1001_4^6 - 673966537903256/245065611157*c_1001_4^5 + 720085126203231/245065611157*c_1001_4^4 - 578474689544534/245065611157*c_1001_4^3 + 334971632559714/245065611157*c_1001_4^2 - 126792434378673/245065611157*c_1001_4 + 24056270204645/245065611157, c_0101_9 + 81139767258/245065611157*c_1001_4^12 - 1304217871326/245065611157*c_1001_4^11 + 9661324563625/245065611157*c_1001_4^10 - 43942111151262/245065611157*c_1001_4^9 + 137762516799750/245065611157*c_1001_4^8 - 315916604093208/245065611157*c_1001_4^7 + 546838938737069/245065611157*c_1001_4^6 - 724760399784290/245065611157*c_1001_4^5 + 734911103624251/245065611157*c_1001_4^4 - 559316391443556/245065611157*c_1001_4^3 + 304551426166894/245065611157*c_1001_4^2 - 106591159449051/245065611157*c_1001_4 + 17853772793929/245065611157, c_1001_0 - 51246068434/245065611157*c_1001_4^12 + 517471831887/245065611157*c_1001_4^11 - 2134305477746/245065611157*c_1001_4^10 + 4054816862119/245065611157*c_1001_4^9 + 511564399928/245065611157*c_1001_4^8 - 24629357299801/245065611157*c_1001_4^7 + 75495556453998/245065611157*c_1001_4^6 - 137569158527774/245065611157*c_1001_4^5 + 175219657955983/245065611157*c_1001_4^4 - 161324300247217/245065611157*c_1001_4^3 + 105308662772456/245065611157*c_1001_4^2 - 45100820255867/245065611157*c_1001_4 + 9899041566148/245065611157, c_1001_4^13 - 169/11*c_1001_4^12 + 1218/11*c_1001_4^11 - 5498/11*c_1001_4^10 + 17433/11*c_1001_4^9 - 41163/11*c_1001_4^8 + 74736/11*c_1001_4^7 - 106052/11*c_1001_4^6 + 118093/11*c_1001_4^5 - 102319/11*c_1001_4^4 + 67297/11*c_1001_4^3 - 31929/11*c_1001_4^2 + 893*c_1001_4 - 1483/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB