Magma V2.19-8 Tue Aug 20 2013 23:57:29 on localhost [Seed = 4614357] Type ? for help. Type -D to quit. Loading file "L14n32838__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32838 geometric_solution 10.91765820 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 1 0 -1 0 0 -1 1 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777602769296 0.674365660645 0 4 6 5 0132 3012 0132 0132 1 1 1 1 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 2 -2 0 0 0 0 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752472789985 0.462654202663 7 0 8 4 0132 0132 0132 2103 1 1 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 3 -2 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 0.371756495545 1.332203435673 5 9 10 0 0132 0132 0132 0132 1 1 1 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 -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 0.452135869586 0.280163807392 1 11 0 2 1230 0132 0132 2103 1 1 1 1 0 0 0 0 0 0 0 0 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 0 1 -1 1 0 -1 0 -2 0 0 2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441063441815 1.337417909317 3 6 1 7 0132 2031 0132 2103 1 1 0 1 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 2 -2 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 0.841235488920 0.954651761806 5 11 8 1 1302 2031 2103 0132 1 1 1 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 2 0 -2 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 0.841235488920 0.954651761806 2 8 9 5 0132 3201 2103 2103 0 1 1 1 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 0 1 -1 0 0 0 0 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491647218704 0.562919009991 6 10 7 2 2103 3012 2310 0132 1 1 1 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 3 -3 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 0.491647218704 0.562919009991 7 3 10 11 2103 0132 3120 0213 1 1 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401887101340 0.990262937424 8 11 9 3 1230 0213 3120 0132 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 0 0 0 0 0 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 0.401887101340 0.990262937424 6 4 10 9 1302 0132 0213 0213 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.598112898660 0.990262937424 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_0']), 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_3'], '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_0011_10'], 'c_0101_10' : d['c_0101_10'], '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_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' : 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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : d['c_0011_0'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], '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_7'], 'c_0101_8' : d['c_0011_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4827/238*c_1001_3^3 - 617/17*c_1001_3^2 + 10195/357*c_1001_3 - 1048/119, c_0011_0 - 1, c_0011_10 + 3/2*c_1001_3^2, c_0011_11 - 9/2*c_1001_3^3 + 3/2*c_1001_3^2 - 5/2*c_1001_3 + 1, c_0011_3 - 1, c_0011_8 - 3/2*c_1001_3^2 + c_1001_3 - 1, c_0101_0 - 9/4*c_1001_3^3 - 3/2*c_1001_3^2 - 1/2*c_1001_3 - 2, c_0101_1 - 27/4*c_1001_3^3 + 9*c_1001_3^2 - 6*c_1001_3 + 4, c_0101_10 - 9/2*c_1001_3^3 + 3/2*c_1001_3^2 - 4*c_1001_3 + 1, c_0101_2 - 9/2*c_1001_3^3 + 6*c_1001_3^2 - 4*c_1001_3 + 4, c_0101_7 - 9/2*c_1001_3^3 + 3/2*c_1001_3^2 - 4*c_1001_3, c_1001_0 - 9/2*c_1001_3^3 + 6*c_1001_3^2 - 4*c_1001_3 + 3, c_1001_3^4 - 4/3*c_1001_3^3 + 14/9*c_1001_3^2 - 8/9*c_1001_3 + 4/9 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3654235223/25507742480*c_1001_3^7 + 358825733/481278160*c_1001_3^6 + 39557362807/12753871240*c_1001_3^5 + 4644448633/579721420*c_1001_3^4 + 368491642557/25507742480*c_1001_3^3 + 7646046619/481278160*c_1001_3^2 + 23926885809/2550774248*c_1001_3 + 9423082413/3188467810, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 233/19424*c_1001_3^7 + 75/9712*c_1001_3^6 + 313/9712*c_1001_3^5 - 1497/9712*c_1001_3^4 - 6779/19424*c_1001_3^3 - 2793/4856*c_1001_3^2 + 6827/4856*c_1001_3 + 595/2428, c_0011_3 - 1, c_0011_8 + 21/4856*c_1001_3^7 - 37/1214*c_1001_3^6 + 23/2428*c_1001_3^5 - 781/2428*c_1001_3^4 - 215/4856*c_1001_3^3 - 777/2428*c_1001_3^2 + 533/607*c_1001_3 - 61/607, c_0101_0 - 233/19424*c_1001_3^7 - 75/9712*c_1001_3^6 - 313/9712*c_1001_3^5 + 1497/9712*c_1001_3^4 + 6779/19424*c_1001_3^3 + 2793/4856*c_1001_3^2 - 6827/4856*c_1001_3 - 595/2428, c_0101_1 + 57/19424*c_1001_3^7 - 461/9712*c_1001_3^6 - 111/9712*c_1001_3^5 - 4201/9712*c_1001_3^4 + 2885/19424*c_1001_3^3 - 1965/4856*c_1001_3^2 + 5755/4856*c_1001_3 - 1553/2428, c_0101_10 - 35/9712*c_1001_3^7 - 79/4856*c_1001_3^6 - 443/4856*c_1001_3^5 - 317/4856*c_1001_3^4 - 2879/9712*c_1001_3^3 + 779/1214*c_1001_3^2 + 449/2428*c_1001_3 - 303/1214, c_0101_2 - 7/9712*c_1001_3^7 + 227/4856*c_1001_3^6 + 397/4856*c_1001_3^5 + 1879/4856*c_1001_3^4 + 3309/9712*c_1001_3^3 - 781/2428*c_1001_3^2 - 2581/2428*c_1001_3 + 425/1214, c_0101_7 + 35/9712*c_1001_3^7 + 79/4856*c_1001_3^6 + 443/4856*c_1001_3^5 + 317/4856*c_1001_3^4 + 2879/9712*c_1001_3^3 - 779/1214*c_1001_3^2 - 449/2428*c_1001_3 + 303/1214, c_1001_0 - 61/9712*c_1001_3^7 - 103/4856*c_1001_3^6 - 9/4856*c_1001_3^5 - 275/4856*c_1001_3^4 + 5943/9712*c_1001_3^3 + 825/2428*c_1001_3^2 + 1615/2428*c_1001_3 - 979/1214, c_1001_3^8 + 2*c_1001_3^7 + 10*c_1001_3^6 + 6*c_1001_3^5 + 5*c_1001_3^4 - 40*c_1001_3^3 - 4*c_1001_3^2 + 8*c_1001_3 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB