Magma V2.19-8 Tue Aug 20 2013 23:42:37 on localhost [Seed = 3920596105] Type ? for help. Type -D to quit. Loading file "L13n4517__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4517 geometric_solution 10.40037043 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 0 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 -1 1 -2 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 0.380606583021 0.732353400957 0 5 7 6 0132 0132 0132 0132 1 0 1 0 0 0 0 0 -1 0 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 2 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 0.350267201566 0.692139079199 7 0 8 6 2031 0132 0132 2031 1 1 1 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 1 0 -1 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311032614025 1.307525843359 9 8 5 0 0132 3012 0132 0132 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 -1 0 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 0.673261245201 0.796045209940 9 5 0 10 3201 3201 0132 0132 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 0 0 0 0 0 1 -1 0 1 0 -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 0.429958755976 0.445549729458 7 1 4 3 0213 0132 2310 0132 1 0 0 1 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 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 0.417912892783 1.150222551816 10 2 1 9 0132 1302 0132 3201 1 0 1 1 0 0 0 0 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 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 0.497510027714 0.717961788019 5 8 2 1 0213 3120 1302 0132 1 0 0 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 -1 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 0.956855272149 1.052177490941 3 7 10 2 1230 3120 0213 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311032614025 1.307525843359 3 6 10 4 0132 2310 0132 2310 1 0 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 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 1.014362445919 0.872126008665 6 8 4 9 0132 0213 0132 0132 1 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 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 1.311032614025 1.307525843359 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_2']), 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0110_2'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0110_2']), 'c_1010_10' : d['c_1001_9'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_1001_9'], 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_1001_9']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_7']), 'c_1100_8' : d['c_1001_9'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_10' : d['c_0101_0'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1048729910/20394369*c_1001_9^5 - 12793762684/20394369*c_1001_9^4 + 112631410847/20394369*c_1001_9^3 + 160454325194/20394369*c_1001_9^2 + 8853315520/2266041*c_1001_9 - 13242130205/20394369, c_0011_0 - 1, c_0011_10 - 21899/755347*c_1001_9^5 + 272284/755347*c_1001_9^4 - 2416223/755347*c_1001_9^3 - 2714328/755347*c_1001_9^2 - 1296005/755347*c_1001_9 - 26082/755347, c_0011_3 + 208426/2266041*c_1001_9^5 - 2493602/2266041*c_1001_9^4 + 21773245/2266041*c_1001_9^3 + 37270753/2266041*c_1001_9^2 + 7362049/755347*c_1001_9 + 1712471/2266041, c_0011_4 + 97964/2266041*c_1001_9^5 - 1212874/2266041*c_1001_9^4 + 10758554/2266041*c_1001_9^3 + 12756467/2266041*c_1001_9^2 + 2366231/755347*c_1001_9 - 1224005/2266041, c_0011_7 + 78050/2266041*c_1001_9^5 - 899149/2266041*c_1001_9^4 + 7737359/2266041*c_1001_9^3 + 17637416/2266041*c_1001_9^2 + 4842078/755347*c_1001_9 + 2148700/2266041, c_0011_8 + 80231/755347*c_1001_9^5 - 963208/755347*c_1001_9^4 + 8427710/755347*c_1001_9^3 + 13961412/755347*c_1001_9^2 + 8432275/755347*c_1001_9 + 136740/755347, c_0101_0 - 188708/2266041*c_1001_9^5 + 2285377/2266041*c_1001_9^4 - 20047373/2266041*c_1001_9^3 - 30880421/2266041*c_1001_9^2 - 5150510/755347*c_1001_9 + 325571/2266041, c_0101_1 - 1, c_0101_10 + 176014/2266041*c_1001_9^5 - 2112023/2266041*c_1001_9^4 + 18495913/2266041*c_1001_9^3 + 30393883/2266041*c_1001_9^2 + 7208309/755347*c_1001_9 + 924695/2266041, c_0110_2 - 19444/755347*c_1001_9^5 + 230308/755347*c_1001_9^4 - 2003829/755347*c_1001_9^3 - 3749028/755347*c_1001_9^2 - 1875192/755347*c_1001_9 - 36886/755347, c_1001_9^6 - 12*c_1001_9^5 + 105*c_1001_9^4 + 174*c_1001_9^3 + 110*c_1001_9^2 + 8*c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB