Magma V2.19-8 Tue Aug 20 2013 16:18:27 on localhost [Seed = 21011510] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2649 geometric_solution 5.92025255 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518197897865 0.269934692092 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963913086994 0.520749534185 1 4 4 5 0132 0132 2031 0132 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 0 0 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927142434156 0.859646767881 5 4 5 1 0321 0213 0213 0132 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 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 0.600587170879 0.558704105647 6 2 3 2 0132 0132 0213 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.684385172861 0.406620724217 3 3 2 6 0321 0213 0132 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298678466162 0.415124440260 4 6 5 6 0132 1302 2031 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736449779631 0.487558784933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_6' : d['c_0011_1'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 2798125/23207*c_1001_3^15 - 35837177/23207*c_1001_3^13 - 4069646/23207*c_1001_3^11 + 242301785/23207*c_1001_3^9 + 253488005/23207*c_1001_3^7 - 41090910/23207*c_1001_3^5 - 3109201/1009*c_1001_3^3 + 17694974/23207*c_1001_3, c_0011_0 - 1, c_0011_1 - 5728/23207*c_1001_3^14 + 74466/23207*c_1001_3^12 - 9530/23207*c_1001_3^10 - 444707/23207*c_1001_3^8 - 492730/23207*c_1001_3^6 - 44608/23207*c_1001_3^4 + 5042/1009*c_1001_3^2 - 2357/23207, c_0011_3 + 378/23207*c_1001_3^15 + 839/23207*c_1001_3^13 - 75199/23207*c_1001_3^11 + 51379/23207*c_1001_3^9 + 493820/23207*c_1001_3^7 + 367903/23207*c_1001_3^5 - 3080/1009*c_1001_3^3 - 38277/23207*c_1001_3, c_0011_5 - 11481/23207*c_1001_3^14 + 150043/23207*c_1001_3^12 - 28023/23207*c_1001_3^10 - 910555/23207*c_1001_3^8 - 873107/23207*c_1001_3^6 + 17160/23207*c_1001_3^4 + 6887/1009*c_1001_3^2 - 25942/23207, c_0101_0 - 12079/23207*c_1001_3^15 + 149698/23207*c_1001_3^13 + 88978/23207*c_1001_3^11 - 1138692/23207*c_1001_3^9 - 1450384/23207*c_1001_3^7 + 274392/23207*c_1001_3^5 + 24615/1009*c_1001_3^3 - 123416/23207*c_1001_3, c_0101_6 - 163/1009*c_1001_3^14 + 2118/1009*c_1001_3^12 - 280/1009*c_1001_3^10 - 12239/1009*c_1001_3^8 - 15975/1009*c_1001_3^6 + 106/1009*c_1001_3^4 + 7602/1009*c_1001_3^2 - 1344/1009, c_1001_3^16 - 13*c_1001_3^14 + c_1001_3^12 + 87*c_1001_3^10 + 74*c_1001_3^8 - 33*c_1001_3^6 - 24*c_1001_3^4 + 11*c_1001_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB