Magma V2.19-8 Tue Aug 20 2013 23:56:20 on localhost [Seed = 1982865000] Type ? for help. Type -D to quit. Loading file "L14n17596__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17596 geometric_solution 11.38806287 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 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 -1 2 -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 0.142780015384 1.755731886083 0 4 2 5 0132 1023 0132 0132 0 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 1 -1 0 0 -2 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 0.400044470528 1.076543704911 3 0 6 1 1023 0132 0132 0132 0 0 1 1 0 0 0 0 1 0 0 -1 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 -2 0 0 2 -1 0 0 1 16 -1 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400044470528 1.076543704911 4 2 7 0 1023 1023 0132 0132 0 0 1 1 0 -1 0 1 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 2 0 -2 0 0 0 0 -1 1 0 0 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248838809129 0.607024394868 1 3 0 8 1023 1023 0132 0132 0 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 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 0.248838809129 0.607024394868 8 9 1 10 1023 0132 0132 0132 0 0 1 1 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 0 0 0 0 0 -1 1 0 1 0 -2 1 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917035705706 0.894556428236 10 7 9 2 1023 1023 1023 0132 0 0 1 1 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 0 0 0 -15 0 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917035705706 0.894556428236 6 11 8 3 1023 0132 0132 0132 0 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 16 0 -16 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400044470528 1.076543704911 11 5 4 7 0132 1023 0132 0132 0 0 1 1 0 1 -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 0 0 0 0 0 -1 1 0 0 0 0 0 -16 15 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400044470528 1.076543704911 10 5 6 11 0132 0132 1023 1023 0 0 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548880266592 0.453389251518 9 6 5 11 0132 1023 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 -1 1 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548880266592 0.453389251518 8 7 10 9 0132 0132 0132 1023 0 0 1 1 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 -1 1 1 -1 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547555971127 0.728663670577 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : negation(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_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : negation(d['1']), 'c_1100_9' : negation(d['c_1100_1']), 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_11'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_11'], '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_1'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0101_8, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 9666971723/15803717400*c_1100_1^5 + 144807887153/7901858700*c_1100_1^4 - 485521297399/7901858700*c_1100_1^3 + 946579573523/7901858700*c_1100_1^2 + 491395117603/7901858700*c_1100_1 + 73221726347/1975464675, c_0011_0 - 1, c_0011_10 + 188365/8779843*c_1100_1^5 - 11351551/17559686*c_1100_1^4 + 39937053/17559686*c_1100_1^3 - 84848235/17559686*c_1100_1^2 - 3403805/8779843*c_1100_1 - 22107756/8779843, c_0101_0 - 1, c_0101_1 + 42531/8779843*c_1100_1^5 - 1297686/8779843*c_1100_1^4 + 4934467/8779843*c_1100_1^3 - 9384706/8779843*c_1100_1^2 - 6296587/8779843*c_1100_1 - 1862875/8779843, c_0101_10 + 85305/8779843*c_1100_1^5 - 2569344/8779843*c_1100_1^4 + 18145053/17559686*c_1100_1^3 - 20707567/8779843*c_1100_1^2 - 1296544/8779843*c_1100_1 - 9873056/8779843, c_0101_11 + 85305/8779843*c_1100_1^5 - 2569344/8779843*c_1100_1^4 + 18145053/17559686*c_1100_1^3 - 20707567/8779843*c_1100_1^2 - 1296544/8779843*c_1100_1 - 9873056/8779843, c_0101_2 + 71407/8779843*c_1100_1^5 - 2106898/8779843*c_1100_1^4 + 6188131/8779843*c_1100_1^3 - 10374419/8779843*c_1100_1^2 - 10941109/8779843*c_1100_1 - 10456887/8779843, c_0101_3 - 1, c_0101_6 + 42531/8779843*c_1100_1^5 - 1297686/8779843*c_1100_1^4 + 4934467/8779843*c_1100_1^3 - 9384706/8779843*c_1100_1^2 + 2483256/8779843*c_1100_1 - 10642718/8779843, c_0101_8 - 71407/8779843*c_1100_1^5 + 2106898/8779843*c_1100_1^4 - 6188131/8779843*c_1100_1^3 + 10374419/8779843*c_1100_1^2 + 10941109/8779843*c_1100_1 + 10456887/8779843, c_1100_0 - 28876/8779843*c_1100_1^5 + 809212/8779843*c_1100_1^4 - 1253664/8779843*c_1100_1^3 + 989713/8779843*c_1100_1^2 + 4644522/8779843*c_1100_1 + 8594012/8779843, c_1100_1^6 - 30*c_1100_1^5 + 102*c_1100_1^4 - 210*c_1100_1^3 - 56*c_1100_1^2 - 136*c_1100_1 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB