Magma V2.19-8 Tue Aug 20 2013 23:42:20 on localhost [Seed = 2193942485] Type ? for help. Type -D to quit. Loading file "L13n2618__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2618 geometric_solution 10.18294813 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 -2 0 2 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 3 0 -3 -2 0 0 2 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134253066966 0.736471270032 0 5 6 2 0132 0132 0132 1023 0 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 2 0 0 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612115121482 1.393305667291 7 0 4 1 0132 0132 2103 1023 0 0 1 1 0 2 -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 -3 1 2 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 0.033153986467 0.822704058599 5 5 8 0 3012 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 7 -6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668217292922 0.737539434920 2 9 0 10 2103 0132 0132 0132 0 0 0 1 0 0 -2 2 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 0 3 -3 0 0 -2 2 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.029582035131 0.736594873850 7 1 3 3 1023 0132 0213 1230 0 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 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668217292922 0.737539434920 7 8 9 1 3120 1023 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 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976877272385 1.036169809634 2 5 8 6 0132 1023 3012 3120 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 -1 0 1 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 0.212955884830 1.049789738713 6 7 9 3 1023 1230 1302 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 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 0.638970612353 0.396884738656 8 4 10 6 2031 0132 1302 0132 0 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357559680705 0.459621700651 9 10 4 10 2031 1302 0132 2031 0 0 0 0 0 1 -2 1 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 -2 3 -1 0 0 -2 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653795766823 0.496263082322 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0110_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : d['c_0101_6'], 'c_1010_10' : d['c_0011_10'], '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_10'], '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' : 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' : 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' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0101_7'], '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' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_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_0011_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_7, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1263017683/6620817*c_0110_10^8 - 2747046676/6620817*c_0110_10^7 - 261037639/2206939*c_0110_10^6 + 137452990/6620817*c_0110_10^5 + 23978067002/6620817*c_0110_10^4 - 1820591624/2206939*c_0110_10^3 + 4729679110/6620817*c_0110_10^2 + 2940966739/6620817*c_0110_10 + 2364304549/2206939, c_0011_0 - 1, c_0011_10 + 14635/76689*c_0110_10^8 - 2685/8521*c_0110_10^7 - 29431/76689*c_0110_10^6 + 7000/76689*c_0110_10^5 + 91118/25563*c_0110_10^4 + 75791/76689*c_0110_10^3 - 31106/76689*c_0110_10^2 + 92294/76689*c_0110_10 + 37813/76689, c_0011_3 - 20302/76689*c_0110_10^8 + 16027/25563*c_0110_10^7 + 4585/76689*c_0110_10^6 - 2191/76689*c_0110_10^5 - 132016/25563*c_0110_10^4 + 169048/76689*c_0110_10^3 - 82444/76689*c_0110_10^2 + 42535/76689*c_0110_10 - 138040/76689, c_0011_4 - 19258/76689*c_0110_10^8 + 12745/25563*c_0110_10^7 + 23818/76689*c_0110_10^6 - 8923/76689*c_0110_10^5 - 121951/25563*c_0110_10^4 + 3124/76689*c_0110_10^3 + 27140/76689*c_0110_10^2 - 52010/76689*c_0110_10 - 73132/76689, c_0101_0 - 1, c_0101_1 + 1541/25563*c_0110_10^8 - 4690/25563*c_0110_10^7 + 1871/25563*c_0110_10^6 + 641/25563*c_0110_10^5 + 30833/25563*c_0110_10^4 - 26305/25563*c_0110_10^3 + 1322/25563*c_0110_10^2 - 4476/8521*c_0110_10 + 11773/25563, c_0101_10 - 9668/76689*c_0110_10^8 + 3263/25563*c_0110_10^7 + 31685/76689*c_0110_10^6 + 7690/76689*c_0110_10^5 - 63041/25563*c_0110_10^4 - 155314/76689*c_0110_10^3 + 1543/76689*c_0110_10^2 - 74701/76689*c_0110_10 - 24887/76689, c_0101_3 - 1810/76689*c_0110_10^8 - 911/8521*c_0110_10^7 + 27037/76689*c_0110_10^6 + 5501/76689*c_0110_10^5 - 8684/25563*c_0110_10^4 - 223301/76689*c_0110_10^3 + 10109/76689*c_0110_10^2 - 118601/76689*c_0110_10 + 3236/76689, c_0101_6 - 1541/25563*c_0110_10^8 + 4690/25563*c_0110_10^7 - 1871/25563*c_0110_10^6 - 641/25563*c_0110_10^5 - 30833/25563*c_0110_10^4 + 26305/25563*c_0110_10^3 - 1322/25563*c_0110_10^2 + 4476/8521*c_0110_10 - 11773/25563, c_0101_7 + 281/76689*c_0110_10^8 - 1520/25563*c_0110_10^7 + 8923/76689*c_0110_10^6 - 49/76689*c_0110_10^5 + 5378/25563*c_0110_10^4 - 84914/76689*c_0110_10^3 - 5764/76689*c_0110_10^2 - 42416/76689*c_0110_10 + 57431/76689, c_0110_10^9 - 2*c_0110_10^8 - c_0110_10^7 + 19*c_0110_10^5 - c_0110_10^4 + 3*c_0110_10^3 + 3*c_0110_10^2 + 6*c_0110_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB