Magma V2.19-8 Tue Aug 20 2013 23:42:21 on localhost [Seed = 1696792624] Type ? for help. Type -D to quit. Loading file "L13n2678__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2678 geometric_solution 9.35273136 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 -1 0 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 0 0 0 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 0.821305364751 0.853417115705 0 5 3 6 0132 0132 3120 0132 1 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 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 0.578643262031 0.671516644104 4 0 8 7 1023 0132 0132 0132 1 1 1 1 0 1 -1 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 0 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.006161552519 0.716278655762 8 7 1 0 1302 1023 3120 0132 1 0 1 1 0 0 0 0 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 0 0 0 0 0 0 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 0.852845530782 0.315153999108 5 2 0 5 0132 1023 0132 2103 1 0 1 1 0 1 -1 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 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 0.438421151089 0.760894901762 4 1 9 4 0132 0132 0132 2103 1 0 1 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 1 -1 -1 0 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 0.438421151089 0.760894901762 8 10 1 9 2310 0132 0132 3120 1 0 1 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 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 0.795441882637 0.704928166230 3 10 2 10 1023 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768432271707 0.617826066704 9 3 6 2 2031 2031 3201 0132 1 1 1 0 0 -1 0 1 1 0 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 -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 -0.257264145937 0.734693808102 6 10 8 5 3120 0321 1302 0132 1 0 1 1 0 0 -1 1 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 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 1.181370508398 2.100761721976 7 6 7 9 3201 0132 2310 0321 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 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 0.893566603540 0.431987219878 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : d['c_0011_3'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_0011_3'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(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' : negation(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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : negation(d['c_0101_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_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' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_5']})} 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 37205342862263549849770348991/62606300217670417975648128*c_1001_5^8 + 11056020455073534622453375661/15651575054417604493912032*c_1001_5\ ^7 - 119625460545800264356871350735/31303150108835208987824064*c_10\ 01_5^6 - 106604409219397680964800548483/31303150108835208987824064*\ c_1001_5^5 - 804992373950489414994205675/144921991244607449017704*c\ _1001_5^4 - 1253976417334101709429220149753/62606300217670417975648\ 128*c_1001_5^3 - 469208061253260740520810561187/2086876673922347265\ 8549376*c_1001_5^2 + 208172285864962502601729949385/208687667392234\ 72658549376*c_1001_5 - 157092870782177706185654972557/6260630021767\ 0417975648128, c_0011_0 - 1, c_0011_10 - 30343122443140026/1098093526433650429*c_1001_5^8 + 41984255695536977/1098093526433650429*c_1001_5^7 - 211228593355436149/1098093526433650429*c_1001_5^6 - 93533750107766166/1098093526433650429*c_1001_5^5 - 391113649233332878/1098093526433650429*c_1001_5^4 - 792815887945037312/1098093526433650429*c_1001_5^3 - 895787676130223484/1098093526433650429*c_1001_5^2 + 885473775468060865/1098093526433650429*c_1001_5 + 285890491407836261/1098093526433650429, c_0011_3 - 169194062906368287/1098093526433650429*c_1001_5^8 + 159369179028447089/1098093526433650429*c_1001_5^7 - 1049846944489688894/1098093526433650429*c_1001_5^6 - 1225191506845691079/1098093526433650429*c_1001_5^5 - 1937160484637921533/1098093526433650429*c_1001_5^4 - 6217588880252650460/1098093526433650429*c_1001_5^3 - 7899081751977529994/1098093526433650429*c_1001_5^2 + 180422860350527355/1098093526433650429*c_1001_5 - 419503955493004223/1098093526433650429, c_0011_8 + 71680930188815956/1098093526433650429*c_1001_5^8 - 44700553242131226/1098093526433650429*c_1001_5^7 + 355200178508040139/1098093526433650429*c_1001_5^6 + 743054116863341332/1098093526433650429*c_1001_5^5 + 568914035181972231/1098093526433650429*c_1001_5^4 + 2340211437768034096/1098093526433650429*c_1001_5^3 + 3832317434101118375/1098093526433650429*c_1001_5^2 - 2120763521151634509/1098093526433650429*c_1001_5 - 1424188572387524353/1098093526433650429, c_0011_9 - 10281836536468599/1098093526433650429*c_1001_5^8 - 21609549647658998/1098093526433650429*c_1001_5^7 - 51226064457500277/1098093526433650429*c_1001_5^6 - 302646760579761101/1098093526433650429*c_1001_5^5 - 329212403082599344/1098093526433650429*c_1001_5^4 - 1127497101012346164/1098093526433650429*c_1001_5^3 - 1579890858797871253/1098093526433650429*c_1001_5^2 - 1830281500254559085/1098093526433650429*c_1001_5 - 353594786309354330/1098093526433650429, c_0101_0 - 1, c_0101_1 - 618203028035728666/1098093526433650429*c_1001_5^8 + 719847076927553530/1098093526433650429*c_1001_5^7 - 3960565670900256688/1098093526433650429*c_1001_5^6 - 3597634771826159805/1098093526433650429*c_1001_5^5 - 5947148806982887607/1098093526433650429*c_1001_5^4 - 20829872053817505776/1098093526433650429*c_1001_5^3 - 23512214377774329009/1098093526433650429*c_1001_5^2 + 9338253457279017681/1098093526433650429*c_1001_5 - 615015369406193594/1098093526433650429, c_0101_10 + 25971164194898408/1098093526433650429*c_1001_5^8 - 61111581672983173/1098093526433650429*c_1001_5^7 + 190263053366868623/1098093526433650429*c_1001_5^6 - 16270991130680876/1098093526433650429*c_1001_5^5 - 3582064844703738/1098093526433650429*c_1001_5^4 + 447476628220977602/1098093526433650429*c_1001_5^3 - 131550683939078919/1098093526433650429*c_1001_5^2 - 2018521836908225054/1098093526433650429*c_1001_5 - 764189167339591038/1098093526433650429, c_0101_5 - 169692871880142304/1098093526433650429*c_1001_5^8 + 130740099733373269/1098093526433650429*c_1001_5^7 - 1059746222129144325/1098093526433650429*c_1001_5^6 - 1340619058216922336/1098093526433650429*c_1001_5^5 - 2481002010862154678/1098093526433650429*c_1001_5^4 - 6199167741517427815/1098093526433650429*c_1001_5^3 - 9930065479782277649/1098093526433650429*c_1001_5^2 - 1063866696629896242/1098093526433650429*c_1001_5 - 424016224912306569/1098093526433650429, c_0101_7 + 87064091447748448/1098093526433650429*c_1001_5^8 - 66019022240302926/1098093526433650429*c_1001_5^7 + 495537204107216454/1098093526433650429*c_1001_5^6 + 747906556550027393/1098093526433650429*c_1001_5^5 + 858582636817615533/1098093526433650429*c_1001_5^4 + 3239828260102246363/1098093526433650429*c_1001_5^3 + 3940655914660652252/1098093526433650429*c_1001_5^2 - 636763958157447051/1098093526433650429*c_1001_5 - 1294797240938185795/1098093526433650429, c_1001_5^9 - 49/43*c_1001_5^8 + 274/43*c_1001_5^7 + 260/43*c_1001_5^6 + 414/43*c_1001_5^5 + 1469/43*c_1001_5^4 + 1698/43*c_1001_5^3 - 642/43*c_1001_5^2 + 146/43*c_1001_5 + 9/43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB