Magma V2.19-8 Tue Aug 20 2013 23:30:42 on localhost [Seed = 1528642859] Type ? for help. Type -D to quit. Loading file "L13n154__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n154 geometric_solution 7.02061479 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 1 0 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 1.201216833710 0.474599420556 0 5 2 3 0132 0132 2031 1302 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 -1 0 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 0.279917898020 0.284503628955 6 0 7 1 0132 0132 0132 1302 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 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 0.954505374077 0.469811484826 8 8 1 0 0132 2310 2031 0132 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 0.953371576580 0.839065557555 6 7 0 7 1302 0132 0132 1230 1 1 0 1 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 0 -1 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 0.461797832369 0.508676580849 7 1 6 6 2310 0132 2031 3012 1 0 1 1 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 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 0.981380344054 0.927542154138 2 4 5 5 0132 2031 1230 1302 0 1 1 1 0 -1 1 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 -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 0.981380344054 0.927542154138 4 4 5 2 3012 0132 3201 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -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 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.981380344054 0.927542154138 3 8 8 3 0132 3201 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 -0.830199855486 0.313301719491 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0101_0']), 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_0_8' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : d['c_0101_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' : negation(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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_8' : d['1'], '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' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_4, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3111/36558080*c_1001_2^7 + 119/216320*c_1001_2^6 + 60057/36558080*c_1001_2^5 - 145599/36558080*c_1001_2^4 - 160339/36558080*c_1001_2^3 - 125387/36558080*c_1001_2^2 + 206567/2812160*c_1001_2 - 2834749/36558080, c_0011_0 - 1, c_0011_3 + 1/64*c_1001_2^6 + 1/16*c_1001_2^5 + 7/64*c_1001_2^4 - 1/4*c_1001_2^3 - 45/64*c_1001_2^2 - 5/16*c_1001_2 + 77/64, c_0011_4 - 1, c_0101_0 + 1/64*c_1001_2^7 + 1/32*c_1001_2^6 - 3/64*c_1001_2^5 - 5/16*c_1001_2^4 - 1/64*c_1001_2^3 + 37/32*c_1001_2^2 + 3/64*c_1001_2 - 2, c_0101_2 + 1/64*c_1001_2^7 + 1/64*c_1001_2^6 - 1/64*c_1001_2^5 - 17/64*c_1001_2^4 + 11/64*c_1001_2^3 + 27/64*c_1001_2^2 - 51/64*c_1001_2 - 83/64, c_0101_3 + 1/64*c_1001_2^7 - 3/64*c_1001_2^5 - 7/32*c_1001_2^4 + 31/64*c_1001_2^3 + 7/16*c_1001_2^2 + 3/64*c_1001_2 - 43/32, c_0101_5 + 1/64*c_1001_2^7 + 1/64*c_1001_2^6 - 1/64*c_1001_2^5 - 17/64*c_1001_2^4 + 11/64*c_1001_2^3 + 27/64*c_1001_2^2 + 13/64*c_1001_2 - 83/64, c_0101_6 + c_1001_2, c_1001_2^8 - 4*c_1001_2^6 - 16*c_1001_2^5 + 30*c_1001_2^4 + 32*c_1001_2^3 - 52*c_1001_2^2 - 80*c_1001_2 + 169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB