Magma V2.19-8 Tue Aug 20 2013 23:48:38 on localhost [Seed = 1629948866] Type ? for help. Type -D to quit. Loading file "L12a118__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a118 geometric_solution 10.48045105 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 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307917644084 0.823220948255 0 5 4 5 0132 0132 0213 1230 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 -1 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 0.334386566683 0.781859971809 3 0 5 6 0321 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 -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 0.803433576178 0.581608452910 2 7 8 0 0321 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 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 -0.433297796447 1.840694551339 7 1 0 8 3201 0213 0132 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 0 0 0 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 0.435192184479 0.345151107933 1 1 9 2 3012 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 0 -1 1 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631304401363 0.741559014205 10 10 2 10 0132 1230 0132 2031 1 1 0 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 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 -0.081359967138 1.032045014062 9 3 9 4 1230 0132 3201 2310 1 1 1 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 0 0 0 0 0 -1 0 1 5 0 -4 -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 0.918640032862 1.032045014062 4 11 11 3 3201 0132 3201 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 0.309358220125 0.659356375819 7 7 10 5 2310 3012 2031 0132 1 1 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 -1 0 1 0 0 0 0 4 -5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.075914161851 0.962965386921 6 6 6 9 0132 1302 3012 1302 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 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 1.075914161851 0.962965386921 8 8 11 11 2310 0132 1230 3012 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 1.929470194499 0.668663411051 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1010_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_10']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_11']), 'c_1100_3' : negation(d['c_0011_11']), 'c_1100_2' : negation(d['c_1010_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_8']), 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_4'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0011_10']})} 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_4, c_0101_11, c_0101_2, c_0101_5, c_0101_8, c_0101_9, c_1001_1, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/22932*c_1010_10 + 11/45864, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 3/4*c_1010_10 + 1, c_0011_3 + 3/4*c_1010_10 + 1, c_0011_4 - 1/4*c_1010_10 - 1, c_0101_11 + 1/4*c_1010_10 - 1, c_0101_2 - c_1010_10 - 5, c_0101_5 + 1/2*c_1010_10, c_0101_8 - 1, c_0101_9 - 1/4*c_1010_10 + 1, c_1001_1 + c_1010_10 + 3, c_1010_10^2 + 4*c_1010_10 + 16 ], 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_4, c_0101_11, c_0101_2, c_0101_5, c_0101_8, c_0101_9, c_1001_1, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 396204769/533416994930688*c_1010_10^5 - 13208335/5798010814464*c_1010_10^4 + 73510825/5556427030528*c_1010_10^3 - 173310923/8334640545792*c_1010_10^2 - 40770497/1041830068224*c_1010_10 - 204523919/520915034112, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1/128*c_1010_10^4 - 1/64*c_1010_10^3 - 1/16*c_1010_10^2 - 2, c_0011_3 + 1/512*c_1010_10^5 - 1/256*c_1010_10^4 + 3/64*c_1010_10^3 + 3/4*c_1010_10, c_0011_4 - 1/512*c_1010_10^5 + 1/256*c_1010_10^4 - 3/64*c_1010_10^3 - 1/4*c_1010_10, c_0101_11 + 1/512*c_1010_10^5 + 1/256*c_1010_10^4 + 1/32*c_1010_10^3 + 3/16*c_1010_10^2 - 1/4*c_1010_10 + 2, c_0101_2 + 1/4*c_1010_10^2 - 1, c_0101_5 + 1/2*c_1010_10, c_0101_8 - 1/512*c_1010_10^5 + 1/256*c_1010_10^4 - 1/64*c_1010_10^3 - 1/16*c_1010_10^2 + 1/2*c_1010_10, c_0101_9 + 1/512*c_1010_10^5 - 1/256*c_1010_10^4 + 3/64*c_1010_10^3 - 1/4*c_1010_10, c_1001_1 - 1/4*c_1010_10^2 - 1, c_1010_10^6 - 2*c_1010_10^5 + 24*c_1010_10^4 + 128*c_1010_10^2 + 2048 ], 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_4, c_0101_11, c_0101_2, c_0101_5, c_0101_8, c_0101_9, c_1001_1, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 41989/36150444032*c_1010_10^6 - 74815/9037611008*c_1010_10^5 - 40637/2259402752*c_1010_10^4 + 219325/564850688*c_1010_10^3 + 74955/70606336*c_1010_10^2 - 19681/17651584*c_1010_10 - 74823/8825792, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1/4096*c_1010_10^6 + 1/1024*c_1010_10^5 + 1/128*c_1010_10^4 - 3/16*c_1010_10^2 + 1/4*c_1010_10, c_0011_3 + 1/4096*c_1010_10^6 - 1/128*c_1010_10^4 - 1/32*c_1010_10^3 + 1/16*c_1010_10^2 + 1/2*c_1010_10 - 1, c_0011_4 + 1/4096*c_1010_10^6 - 1/128*c_1010_10^4 - 1/32*c_1010_10^3 + 1/16*c_1010_10^2 - 1, c_0101_11 + 1/2048*c_1010_10^6 - 1/512*c_1010_10^5 - 3/256*c_1010_10^4 + 3/16*c_1010_10^2 - 3/4*c_1010_10, c_0101_2 + 1, c_0101_5 - 1/2*c_1010_10, c_0101_8 - 1/4096*c_1010_10^6 + 1/1024*c_1010_10^5 + 1/256*c_1010_10^4 - 1/16*c_1010_10^2 + 3/4*c_1010_10, c_0101_9 + 1/4096*c_1010_10^6 - 1/128*c_1010_10^4 - 1/32*c_1010_10^3 + 1/16*c_1010_10^2 - 1/2*c_1010_10 - 1, c_1001_1 + 1, c_1010_10^7 - 32*c_1010_10^5 - 128*c_1010_10^4 + 256*c_1010_10^3 - 4096*c_1010_10 - 16384 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB