Magma V2.19-8 Tue Aug 20 2013 23:44:48 on localhost [Seed = 1613104580] Type ? for help. Type -D to quit. Loading file "L14n46802__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n46802 geometric_solution 9.84554914 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 2 1 2 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 -1 0 1 0 0 -1 1 0 1 0 -1 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513304814560 0.917552851278 0 5 4 6 0132 0132 0132 0132 2 1 1 2 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 4 -5 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 0.457283795274 0.306484375836 7 0 8 7 0132 0132 0132 2103 2 0 1 2 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 1 0 -1 1 0 -1 0 0 -4 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524469907155 0.872789463051 7 8 8 0 2031 2031 0321 0132 2 1 1 0 0 0 0 0 -1 0 1 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 0 0 0 -4 0 3 1 0 -3 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524469907155 0.872789463051 5 9 0 1 2310 0132 0132 0132 2 1 2 2 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 5 -1 -4 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 0.093420431314 1.582239859252 6 1 4 9 1023 0132 3201 1023 2 2 2 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 -1 1 0 5 0 0 -5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093420431314 1.582239859252 7 5 1 8 1023 1023 0132 0321 2 1 2 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513304814560 0.917552851278 2 6 3 2 0132 1023 1302 2103 1 0 2 1 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 0 0 0 0 0 0 0 4 -4 -1 0 1 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 0.524469907155 0.872789463051 3 6 3 2 1302 0321 0321 0132 2 0 2 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 -1 1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481359200649 0.883488226276 10 4 10 5 0132 0132 1023 1023 2 2 2 2 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253737905708 0.899945704639 9 10 9 10 0132 1302 1023 2031 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479508896535 0.111432246378 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0011_8'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_9' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_1001_8'], 'c_1100_1' : d['c_1001_8'], 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0011_8'], 'c_1010_2' : d['c_0011_8'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0110_5'], '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' : negation(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_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], '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_0110_10' : d['c_0101_9'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_8'])})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_9, c_0110_5, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1872723/917504*c_0110_5^7 - 5199275/8192*c_0110_5^6 + 3826514359/917504*c_0110_5^5 - 5509002043/458752*c_0110_5^4 + 17857443355/917504*c_0110_5^3 - 632005663/32768*c_0110_5^2 + 10379660001/917504*c_0110_5 - 1499351547/458752, c_0011_0 - 1, c_0011_10 - 123/114688*c_0110_5^7 - 2723/8192*c_0110_5^6 + 290579/114688*c_0110_5^5 - 203723/28672*c_0110_5^4 + 1056603/114688*c_0110_5^3 - 39763/8192*c_0110_5^2 + 18093/114688*c_0110_5 + 477/1792, c_0011_3 - 55/28672*c_0110_5^7 - 77/128*c_0110_5^6 + 66881/28672*c_0110_5^5 - 8601/3584*c_0110_5^4 - 78117/28672*c_0110_5^3 + 4715/512*c_0110_5^2 - 294885/28672*c_0110_5 + 2035/448, c_0011_8 - 143/28672*c_0110_5^7 - 1593/1024*c_0110_5^6 + 249037/28672*c_0110_5^5 - 18331/896*c_0110_5^4 + 758875/28672*c_0110_5^3 - 20575/1024*c_0110_5^2 + 205095/28672*c_0110_5 - 393/448, c_0101_0 - 1, c_0101_1 - 11/114688*c_0110_5^7 - 247/8192*c_0110_5^6 + 10635/114688*c_0110_5^5 - 9319/28672*c_0110_5^4 + 45243/114688*c_0110_5^3 + 3529/8192*c_0110_5^2 - 193307/114688*c_0110_5 + 1429/1792, c_0101_10 + 37/114688*c_0110_5^7 + 823/8192*c_0110_5^6 - 70113/114688*c_0110_5^5 + 63155/28672*c_0110_5^4 - 556333/114688*c_0110_5^3 + 48783/8192*c_0110_5^2 - 388919/114688*c_0110_5 - 711/1792, c_0101_2 - 1, c_0101_9 + 491/57344*c_0110_5^7 + 5467/2048*c_0110_5^6 - 878553/57344*c_0110_5^5 + 131363/3584*c_0110_5^4 - 2571223/57344*c_0110_5^3 + 58801/2048*c_0110_5^2 - 424315/57344*c_0110_5 - 331/896, c_0110_5^8 + 311*c_0110_5^7 - 2027*c_0110_5^6 + 5779*c_0110_5^5 - 9245*c_0110_5^4 + 8997*c_0110_5^3 - 5113*c_0110_5^2 + 1361*c_0110_5 + 64, c_1001_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB