Magma V2.19-8 Tue Aug 20 2013 23:42:03 on localhost [Seed = 3481905797] Type ? for help. Type -D to quit. Loading file "L12n722__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n722 geometric_solution 10.37679080 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 1 1 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 -1 0 1 -1 0 1 0 1 -1 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265564197691 1.061397846874 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 1 0 -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 1 -1 0 1 0 -1 0 9 -1 0 -8 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663863483925 0.769886788583 8 0 5 6 0132 0132 2031 2031 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 1 -1 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 0.691177859961 0.858538719263 7 8 5 0 2310 3201 3120 0132 1 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 1 -1 0 9 0 -9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346946135862 0.825855822745 9 10 0 5 0132 0132 0132 3120 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 -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 -0.911018355599 0.687387428337 4 1 3 2 3120 0132 3120 1302 0 1 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 0 0 0 -1 1 0 0 0 -1 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689259538095 1.074487031326 10 2 1 9 3201 1302 0132 0132 0 1 1 1 0 -1 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 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691177859961 0.858538719263 10 9 3 1 0132 0132 3201 0132 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 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 0.346946135862 0.825855822745 2 10 3 9 0132 1230 2310 1023 1 0 1 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663863483925 0.769886788583 4 7 6 8 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265564197691 1.061397846874 7 4 8 6 0132 0132 3012 2310 1 1 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 1 0 -9 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248377371061 0.858846197381 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(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_0_8' : d['1'], 's_0_9' : 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' : 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_0011_3']), 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_1001_1']), 'c_1100_10' : d['c_0011_6'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : 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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_10']), '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' : negation(d['c_0101_0']), 'c_0101_7' : negation(d['c_0101_0']), '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_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], '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_8'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_9']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_8, c_0101_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3145121903/2000450472*c_0101_9^8 + 1723664857/325654728*c_0101_9^7 - 91817946027/4667717768*c_0101_9^6 + 62221251919/1000225236*c_0101_9^5 - 245951348245/4667717768*c_0101_9^4 + 115613641919/7001576652*c_0101_9^3 + 675680111963/14003153304*c_0101_9^2 - 217594206745/7001576652*c_0101_9 + 91836083707/3500788326, c_0011_0 - 1, c_0011_10 + 28733/494916*c_0101_9^8 + 100129/494916*c_0101_9^7 - 102409/164972*c_0101_9^6 + 297146/123729*c_0101_9^5 - 506937/164972*c_0101_9^4 + 550126/123729*c_0101_9^3 - 1552261/494916*c_0101_9^2 + 336715/123729*c_0101_9 - 92402/123729, c_0011_3 - 34705/1484748*c_0101_9^8 - 179573/1484748*c_0101_9^7 + 64849/494916*c_0101_9^6 - 192628/371187*c_0101_9^5 - 448795/494916*c_0101_9^4 + 325882/371187*c_0101_9^3 - 3055495/1484748*c_0101_9^2 - 91049/371187*c_0101_9 - 327320/371187, c_0011_6 - 12086/123729*c_0101_9^8 - 87107/247458*c_0101_9^7 + 93581/82486*c_0101_9^6 - 868681/247458*c_0101_9^5 + 117298/41243*c_0101_9^4 - 416513/247458*c_0101_9^3 + 100789/123729*c_0101_9^2 - 377327/247458*c_0101_9 + 26357/123729, c_0101_0 + 3989/82486*c_0101_9^8 + 12899/82486*c_0101_9^7 - 51945/82486*c_0101_9^6 + 82639/41243*c_0101_9^5 - 135403/82486*c_0101_9^4 + 35870/41243*c_0101_9^3 + 94555/82486*c_0101_9^2 + 36648/41243*c_0101_9 + 1095/41243, c_0101_1 + 18395/494916*c_0101_9^8 + 16141/494916*c_0101_9^7 - 123561/164972*c_0101_9^6 + 665515/247458*c_0101_9^5 - 877851/164972*c_0101_9^4 + 1204655/247458*c_0101_9^3 - 1618279/494916*c_0101_9^2 + 316757/247458*c_0101_9 - 192953/123729, c_0101_2 + 186865/1484748*c_0101_9^8 + 475325/1484748*c_0101_9^7 - 939349/494916*c_0101_9^6 + 2320000/371187*c_0101_9^5 - 4399253/494916*c_0101_9^4 + 2835029/371187*c_0101_9^3 - 5199569/1484748*c_0101_9^2 + 936512/371187*c_0101_9 - 260422/371187, c_0101_5 + 20497/164972*c_0101_9^8 + 66921/164972*c_0101_9^7 - 252459/164972*c_0101_9^6 + 217945/41243*c_0101_9^5 - 896415/164972*c_0101_9^4 + 206715/41243*c_0101_9^3 - 87841/164972*c_0101_9^2 + 87642/41243*c_0101_9 + 1464/41243, c_0101_8 - 136799/1484748*c_0101_9^8 - 412789/1484748*c_0101_9^7 + 635117/494916*c_0101_9^6 - 2873419/742374*c_0101_9^5 + 2212387/494916*c_0101_9^4 - 1675757/742374*c_0101_9^3 + 615991/1484748*c_0101_9^2 + 152515/742374*c_0101_9 + 125864/371187, c_0101_9^9 + 3*c_0101_9^8 - 13*c_0101_9^7 + 46*c_0101_9^6 - 59*c_0101_9^5 + 62*c_0101_9^4 - 33*c_0101_9^3 + 30*c_0101_9^2 - 8*c_0101_9 + 8, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB