Magma V2.19-8 Tue Aug 20 2013 23:48:59 on localhost [Seed = 4223504744] Type ? for help. Type -D to quit. Loading file "L12n1312__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1312 geometric_solution 10.54321181 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 0 1 -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 -1 0 1 -1 0 0 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 -0.046828413429 0.521500254766 0 5 7 6 0132 0132 0132 0132 0 1 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 0 0 0 0 0 3 -4 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 1.527896755679 0.850589558066 8 0 9 9 0132 0132 1230 0132 0 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 0 0 0 0 0 1 0 -1 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 0.553773509824 0.807298273351 10 7 4 0 0132 2031 3201 0132 0 1 1 1 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 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 2.043815365076 0.719746797263 3 11 0 11 2310 0132 0132 2310 0 1 1 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 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 0 0 0 0 0 0 0.004326128296 1.008127097522 10 1 10 6 1302 0132 0321 2103 0 1 0 1 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 -3 0 3 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 0.498849525780 0.898778398114 7 8 1 5 2103 2310 0132 2103 0 1 0 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 0 0 0 1 -1 0 0 0 1 -1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498849525780 0.898778398114 3 9 6 1 1302 2103 2103 0132 0 1 0 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 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.472538184553 0.292431610861 2 10 11 6 0132 1302 1023 3201 1 0 0 1 0 0 0 0 0 0 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 3 -3 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555172388365 0.898046936236 11 7 2 2 3201 2103 0132 3012 0 0 0 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 0 1 -1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553773509824 0.807298273351 3 5 5 8 0132 2031 0321 2031 0 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 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 0.527896755679 0.850589558066 4 4 8 9 3201 0132 1023 2310 0 1 0 1 0 0 -1 1 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 -3 4 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 0.353281763230 0.792011980380 ==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' : negation(d['c_0110_5']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_9']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_7'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_9']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : d['c_0011_0'], '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' : 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_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_9'], 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0110_5']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0110_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_1001_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0011_7'], 'c_1010_2' : d['c_0011_7'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_9']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_1001_5']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : 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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_5']})} 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_6, c_0011_7, c_0101_1, c_0101_11, c_0101_2, c_0101_8, c_0110_5, c_0110_9, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 12857/864*c_1001_5^8 - 172393/864*c_1001_5^7 + 783701/864*c_1001_5^6 - 538963/432*c_1001_5^5 - 160399/288*c_1001_5^4 + 348701/72*c_1001_5^3 - 213778/27*c_1001_5^2 + 225251/36*c_1001_5 - 74740/27, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 7/64*c_1001_5^8 + 37/32*c_1001_5^7 - 657/64*c_1001_5^6 + 277/8*c_1001_5^5 - 1081/16*c_1001_5^4 + 167/2*c_1001_5^3 - 261/4*c_1001_5^2 + 30*c_1001_5 - 6, c_0011_6 - 1, c_0011_7 + 1/64*c_1001_5^8 + 5/32*c_1001_5^7 - 99/64*c_1001_5^6 + 95/16*c_1001_5^5 - 55/4*c_1001_5^4 + 171/8*c_1001_5^3 - 23*c_1001_5^2 + 16*c_1001_5 - 6, c_0101_1 + 3/64*c_1001_5^8 + 19/32*c_1001_5^7 - 209/64*c_1001_5^6 + 107/16*c_1001_5^5 - 51/8*c_1001_5^4 - 11/8*c_1001_5^3 + 45/4*c_1001_5^2 - 12*c_1001_5 + 6, c_0101_11 - 3/32*c_1001_5^8 - 25/32*c_1001_5^7 + 357/32*c_1001_5^6 - 1527/32*c_1001_5^5 + 1815/16*c_1001_5^4 - 172*c_1001_5^3 + 169*c_1001_5^2 - 102*c_1001_5 + 32, c_0101_2 + 1/16*c_1001_5^8 + 3/4*c_1001_5^7 - 77/16*c_1001_5^6 + 101/8*c_1001_5^5 - 161/8*c_1001_5^4 + 20*c_1001_5^3 - 45/4*c_1001_5^2 + 5/2*c_1001_5 + 1, c_0101_8 + 1/64*c_1001_5^8 + 5/32*c_1001_5^7 - 99/64*c_1001_5^6 + 95/16*c_1001_5^5 - 55/4*c_1001_5^4 + 171/8*c_1001_5^3 - 23*c_1001_5^2 + 16*c_1001_5 - 6, c_0110_5 + 1/16*c_1001_5^8 + 5/8*c_1001_5^7 - 101/16*c_1001_5^6 + 89/4*c_1001_5^5 - 363/8*c_1001_5^4 + 241/4*c_1001_5^3 - 207/4*c_1001_5^2 + 55/2*c_1001_5 - 7, c_0110_9 - 3/64*c_1001_5^8 - 1/2*c_1001_5^7 + 281/64*c_1001_5^6 - 447/32*c_1001_5^5 + 391/16*c_1001_5^4 - 51/2*c_1001_5^3 + 31/2*c_1001_5^2 - 9/2*c_1001_5, c_1001_5^9 + 10*c_1001_5^8 - 99*c_1001_5^7 + 380*c_1001_5^6 - 880*c_1001_5^5 + 1368*c_1001_5^4 - 1472*c_1001_5^3 + 1088*c_1001_5^2 - 512*c_1001_5 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB