Magma V2.19-8 Tue Aug 20 2013 17:55:32 on localhost [Seed = 3482220575] Type ? for help. Type -D to quit. Loading file "8_10__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_10 geometric_solution 8.65114856 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 1 0 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.078458314315 1.339527388148 0 3 4 5 0132 3120 0213 0132 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 5 -4 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.591751399473 0.780750691317 6 0 3 6 0132 0132 3120 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393222386961 0.961985075204 7 1 2 0 0132 3120 3120 0132 0 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 0 0 0 -1 0 1 0 0 1 -1 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000590882961 0.853923589710 8 1 0 5 0132 0213 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553201479135 0.432745353994 6 8 1 4 3120 1230 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.312234286003 0.746899663208 2 2 7 5 0132 1302 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635918388650 0.890694649867 3 8 6 8 0132 2310 3120 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.292909896660 0.858397034854 4 7 5 7 0132 1302 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292909896660 0.858397034854 ==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_1001_1'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_5']), 's_2_8' : d['1'], '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_0_8' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : 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' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_5'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_1'], 'c_1010_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_5']), '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_0011_5, c_0101_0, c_0101_2, c_0101_6, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 3/23*c_1001_1^10 - 51/46*c_1001_1^9 + 183/92*c_1001_1^8 + 43/23*c_1001_1^7 - 5/2*c_1001_1^6 - 103/46*c_1001_1^5 + 89/92*c_1001_1^4 - 64/23*c_1001_1^3 + 999/92*c_1001_1^2 - 149/23*c_1001_1 - 35/46, c_0011_0 - 1, c_0011_3 - c_1001_1^2 + 1, c_0011_4 - 1/4*c_1001_1^10 + 3/4*c_1001_1^8 - 3/4*c_1001_1^6 - 1/2*c_1001_1^4 + 1/2*c_1001_1^3 + 3/4*c_1001_1^2 - 3/2*c_1001_1 + 1/2, c_0011_5 + 1/4*c_1001_1^9 - 1/2*c_1001_1^7 - 1/2*c_1001_1^6 + 1/4*c_1001_1^5 + 1/2*c_1001_1^4 + 5/4*c_1001_1^3 - 1, c_0101_0 + 1/2*c_1001_1^10 - 3/4*c_1001_1^9 - 3/4*c_1001_1^8 + c_1001_1^7 + 1/2*c_1001_1^6 - 3/4*c_1001_1^5 + 9/4*c_1001_1^4 - 15/4*c_1001_1^3 + 11/4*c_1001_1^2 - 3/2, c_0101_2 - 1/2*c_1001_1^10 + 1/4*c_1001_1^9 + 5/4*c_1001_1^8 - c_1001_1^6 - 1/4*c_1001_1^5 - 9/4*c_1001_1^4 + 9/4*c_1001_1^3 + 1/4*c_1001_1^2 - c_1001_1 + 3/2, c_0101_6 + 1/4*c_1001_1^10 - 3/4*c_1001_1^8 - 1/2*c_1001_1^7 + 3/4*c_1001_1^6 + c_1001_1^5 + c_1001_1^4 - c_1001_1^3 - 5/4*c_1001_1^2 - 1/2*c_1001_1 + 1/2, c_0101_8 + 1/4*c_1001_1^8 - 1/2*c_1001_1^6 + 1/4*c_1001_1^4 - 1/2*c_1001_1^3 + 3/4*c_1001_1^2 - 1/2*c_1001_1 + 1/2, c_1001_1^11 - 2*c_1001_1^10 - c_1001_1^9 + 3*c_1001_1^8 + c_1001_1^7 - 2*c_1001_1^6 + 4*c_1001_1^5 - 11*c_1001_1^4 + 9*c_1001_1^3 - c_1001_1^2 - 2*c_1001_1 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB