Magma V2.19-8 Tue Aug 20 2013 23:30:03 on localhost [Seed = 2816590305] Type ? for help. Type -D to quit. Loading file "L11a132__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a132 geometric_solution 7.02061479 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 0 1 0 1 2310 0132 3201 2310 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 0 0 0 0 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 0 0 3 2 3201 0132 0132 0132 1 1 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 1 -1 0 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 0.591073832613 0.520206084491 4 3 1 5 0132 2031 0132 0132 1 1 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 0 0 0 0 1 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720082101980 0.284503628955 2 4 6 1 1302 2310 0132 0132 1 1 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 -1 0 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 0.720082101980 0.284503628955 2 7 8 3 0132 0132 0132 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 -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 0.843349140254 0.415099927743 8 7 2 8 0132 3012 0132 2031 1 1 0 1 0 0 0 0 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 1 -1 -2 1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978366371591 1.077683838759 8 7 7 3 2103 3201 2031 0132 1 1 1 0 0 0 0 0 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 0 -1 1 0 0 2 -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 0.978366371591 1.077683838759 5 4 6 6 1230 0132 2310 1302 1 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 1 -2 -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 0.538202167631 0.508676580849 5 5 6 4 0132 1302 2103 0132 1 1 1 0 0 1 -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 0 1 -1 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538202167631 0.508676580849 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_8' : d['c_0011_6'], 's_2_8' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_0011_2'], 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : negation(d['c_1001_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0011_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_8' : d['c_1001_4'], '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' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_2'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0011_6'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_2, c_0101_4, c_1001_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 633301/4569760*c_1001_4^7 + 955667/2284880*c_1001_4^6 - 2485991/2284880*c_1001_4^5 - 3903917/1142440*c_1001_4^4 + 3609103/1142440*c_1001_4^3 + 11129429/571220*c_1001_4^2 + 23151283/571220*c_1001_4 + 11336061/285610, c_0011_0 - 1, c_0011_2 - 1/64*c_1001_4^7 + 1/64*c_1001_4^6 + 3/32*c_1001_4^5 - 3/32*c_1001_4^4 - 3/16*c_1001_4^3 - 13/16*c_1001_4^2 - 7/8*c_1001_4 - 1/8, c_0011_5 - 1, c_0011_6 - 1/16*c_1001_4^6 + 1/8*c_1001_4^5 + 1/4*c_1001_4^4 - 1/2*c_1001_4^3 - 3/4*c_1001_4^2 - 5/2*c_1001_4, c_0101_0 - 1/16*c_1001_4^7 + 1/8*c_1001_4^6 + 1/4*c_1001_4^5 - 7/16*c_1001_4^4 - 3/4*c_1001_4^3 - 11/4*c_1001_4^2 + 1/4, c_0101_2 + 1/16*c_1001_4^7 - 1/8*c_1001_4^6 - 3/16*c_1001_4^5 + 5/16*c_1001_4^4 + 1/2*c_1001_4^3 + 13/4*c_1001_4^2 + 1/4*c_1001_4 + 5/4, c_0101_4 + 1/32*c_1001_4^7 - 5/64*c_1001_4^6 - 1/16*c_1001_4^5 + 7/32*c_1001_4^4 + 1/8*c_1001_4^3 + 25/16*c_1001_4^2 - 5/4*c_1001_4 + 5/8, c_1001_3 + 1/32*c_1001_4^7 - 5/64*c_1001_4^6 - 1/16*c_1001_4^5 + 7/32*c_1001_4^4 + 1/8*c_1001_4^3 + 25/16*c_1001_4^2 - 5/4*c_1001_4 + 5/8, c_1001_4^8 - 8*c_1001_4^6 + 24*c_1001_4^4 + 64*c_1001_4^3 + 96*c_1001_4^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB