Magma V2.19-8 Tue Aug 20 2013 23:42:03 on localhost [Seed = 543573357] Type ? for help. Type -D to quit. Loading file "L12n722__sl2_c0.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' : 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' : 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' : 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' : 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' : 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' : 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: 11 Groebner basis: [ t + 511823825/2008026332*c_0101_9^10 - 4765839383/2008026332*c_0101_9^9 + 12225990209/2008026332*c_0101_9^8 - 15136095321/2008026332*c_0101_9^7 + 523346846/38615891*c_0101_9^6 + 11192289553/2008026332*c_0101_9^5 - 7421201603/2008026332*c_0101_9^4 + 7846824721/2008026332*c_0101_9^3 + 4339162021/1004013166*c_0101_9^2 + 14157639461/2008026332*c_0101_9 + 224490074/502006583, c_0011_0 - 1, c_0011_10 + 1181191/6948188*c_0101_9^10 - 2769253/1737047*c_0101_9^9 + 24625253/6948188*c_0101_9^8 + 623731/1737047*c_0101_9^7 - 611729/267238*c_0101_9^6 + 8782097/6948188*c_0101_9^5 - 5578151/3474094*c_0101_9^4 + 20005667/6948188*c_0101_9^3 - 1024837/6948188*c_0101_9^2 - 1635639/3474094*c_0101_9 + 8371/1737047, c_0011_3 - 909167/6948188*c_0101_9^10 + 2388194/1737047*c_0101_9^9 - 28257913/6948188*c_0101_9^8 + 3952895/1737047*c_0101_9^7 + 1027617/267238*c_0101_9^6 - 29780913/6948188*c_0101_9^5 + 1600115/3474094*c_0101_9^4 - 11956467/6948188*c_0101_9^3 + 8612933/6948188*c_0101_9^2 + 3381309/3474094*c_0101_9 - 3247887/1737047, c_0011_6 + 126221/6948188*c_0101_9^10 - 196835/3474094*c_0101_9^9 - 4663509/6948188*c_0101_9^8 + 7718175/3474094*c_0101_9^7 + 175547/267238*c_0101_9^6 - 14316989/6948188*c_0101_9^5 + 54685/1737047*c_0101_9^4 + 6651997/6948188*c_0101_9^3 + 9488027/6948188*c_0101_9^2 - 365113/1737047*c_0101_9 - 997696/1737047, c_0101_0 - 120257/3474094*c_0101_9^10 + 738384/1737047*c_0101_9^9 - 5808175/3474094*c_0101_9^8 + 3550146/1737047*c_0101_9^7 + 133315/133619*c_0101_9^6 - 9001535/3474094*c_0101_9^5 + 934591/1737047*c_0101_9^4 - 1802767/3474094*c_0101_9^3 + 7536527/3474094*c_0101_9^2 - 455960/1737047*c_0101_9 - 1265557/1737047, c_0101_1 + 171325/3474094*c_0101_9^10 - 1519191/3474094*c_0101_9^9 + 2181351/3474094*c_0101_9^8 + 7468867/3474094*c_0101_9^7 - 515614/133619*c_0101_9^6 - 2573169/3474094*c_0101_9^5 + 7121139/3474094*c_0101_9^4 - 873269/3474094*c_0101_9^3 + 1217199/1737047*c_0101_9^2 - 8519547/3474094*c_0101_9 + 607995/1737047, c_0101_2 + 1421705/6948188*c_0101_9^10 - 3507637/1737047*c_0101_9^9 + 36241603/6948188*c_0101_9^8 - 2926415/1737047*c_0101_9^7 - 878359/267238*c_0101_9^6 + 26785167/6948188*c_0101_9^5 - 7447333/3474094*c_0101_9^4 + 23611201/6948188*c_0101_9^3 - 16097891/6948188*c_0101_9^2 - 723719/3474094*c_0101_9 + 3010975/1737047, c_0101_5 + 1181191/6948188*c_0101_9^10 - 2769253/1737047*c_0101_9^9 + 24625253/6948188*c_0101_9^8 + 623731/1737047*c_0101_9^7 - 611729/267238*c_0101_9^6 + 8782097/6948188*c_0101_9^5 - 5578151/3474094*c_0101_9^4 + 20005667/6948188*c_0101_9^3 - 1024837/6948188*c_0101_9^2 - 1635639/3474094*c_0101_9 + 8371/1737047, c_0101_8 + 750651/3474094*c_0101_9^10 - 7626767/3474094*c_0101_9^9 + 21744345/3474094*c_0101_9^8 - 16317289/3474094*c_0101_9^7 + 99861/133619*c_0101_9^6 + 8720747/3474094*c_0101_9^5 - 12004139/3474094*c_0101_9^4 + 20635457/3474094*c_0101_9^3 - 8783219/1737047*c_0101_9^2 + 13541735/3474094*c_0101_9 - 1957262/1737047, c_0101_9^11 - 10*c_0101_9^10 + 27*c_0101_9^9 - 14*c_0101_9^8 - 6*c_0101_9^7 + 7*c_0101_9^6 - 4*c_0101_9^5 + 25*c_0101_9^4 - 21*c_0101_9^3 + 8*c_0101_9^2 - 4*c_0101_9 + 8, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB