Magma V2.19-8 Tue Aug 20 2013 23:31:17 on localhost [Seed = 4088763754] Type ? for help. Type -D to quit. Loading file "L14n506__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n506 geometric_solution 7.02061479 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 2 3 0132 0132 1302 0132 1 1 1 0 0 0 0 0 -1 0 0 1 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 -1 2 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978366371591 1.077683838759 0 4 5 4 0132 0132 0132 1230 1 1 0 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 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 0.018619655946 0.927542154138 0 0 5 4 2031 0132 3012 0132 1 1 0 1 0 0 0 0 0 0 0 0 -2 3 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 -1 0 0 1 -1 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538202167631 0.508676580849 6 5 0 7 0132 3012 0132 0132 1 1 1 1 0 -1 0 1 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 -2 1 1 2 0 -2 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 0.720082101980 0.284503628955 1 1 2 6 3012 0132 0132 3201 1 1 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 -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 0.538202167631 0.508676580849 3 2 6 1 1230 1230 2031 0132 1 1 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 0 0 0 -1 0 0 1 -1 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795798300737 2.108739254099 3 4 7 5 0132 2310 1230 1302 1 1 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 0 0 0 -2 0 0 2 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.757214824121 1.786002245134 8 8 3 6 0132 3201 0132 3012 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 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 0.591073832613 0.520206084491 7 8 7 8 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.054369627049 0.397899150369 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_8' : d['c_0101_6'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_0011_7'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_3'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_8' : negation(d['c_0101_6']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0011_0'], 'c_0101_8' : d['c_0101_5'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_2, c_0101_4, c_0101_5, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3111/36558080*c_0110_4^7 - 119/216320*c_0110_4^6 - 60057/36558080*c_0110_4^5 + 145599/36558080*c_0110_4^4 + 160339/36558080*c_0110_4^3 + 125387/36558080*c_0110_4^2 - 206567/2812160*c_0110_4 + 2834749/36558080, c_0011_0 - 1, c_0011_3 - 1, c_0011_5 + c_0110_4, c_0011_7 - 1/64*c_0110_4^6 - 1/16*c_0110_4^5 - 7/64*c_0110_4^4 + 1/4*c_0110_4^3 + 45/64*c_0110_4^2 + 5/16*c_0110_4 - 77/64, c_0101_2 + 1/64*c_0110_4^7 + 1/64*c_0110_4^6 - 1/64*c_0110_4^5 - 17/64*c_0110_4^4 + 11/64*c_0110_4^3 + 27/64*c_0110_4^2 - 51/64*c_0110_4 - 83/64, c_0101_4 + 1/64*c_0110_4^7 + 1/64*c_0110_4^6 - 1/64*c_0110_4^5 - 17/64*c_0110_4^4 + 11/64*c_0110_4^3 + 27/64*c_0110_4^2 + 13/64*c_0110_4 - 83/64, c_0101_5 - 1/64*c_0110_4^7 + 3/64*c_0110_4^5 + 7/32*c_0110_4^4 - 31/64*c_0110_4^3 - 7/16*c_0110_4^2 - 3/64*c_0110_4 + 43/32, c_0101_6 - 1/64*c_0110_4^7 - 1/32*c_0110_4^6 + 3/64*c_0110_4^5 + 5/16*c_0110_4^4 + 1/64*c_0110_4^3 - 37/32*c_0110_4^2 - 3/64*c_0110_4 + 2, c_0110_4^8 - 4*c_0110_4^6 - 16*c_0110_4^5 + 30*c_0110_4^4 + 32*c_0110_4^3 - 52*c_0110_4^2 - 80*c_0110_4 + 169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB