Magma V2.19-8 Wed Aug 21 2013 00:51:34 on localhost [Seed = 2412354298] Type ? for help. Type -D to quit. Loading file "L11n156__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n156 geometric_solution 12.06074585 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3012 0 0 0 1 0 -1 1 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 0 0 1 -1 0 0 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393582887031 0.595438968677 0 4 0 5 0132 0132 1230 0132 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 0 0 0 0 0 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 0.839576509706 0.824377413455 3 0 5 6 0321 0132 1230 0132 0 1 1 0 0 1 0 -1 0 0 0 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 -1 0 1 0 0 0 0 0 6 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785842606162 0.688074084415 2 7 8 0 0321 0132 0132 0132 0 0 1 1 0 1 0 -1 -1 0 1 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 1 0 -1 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 0.199039131223 1.403570341484 5 1 7 9 0213 0132 0321 0132 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 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 0.743942110047 0.457235979387 4 10 1 2 0213 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503719196104 0.539937680740 11 9 2 9 0132 0321 0132 3120 0 1 1 1 0 -1 1 0 -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 1 -1 0 -6 0 0 6 1 -1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375611270583 1.210452747700 11 3 4 10 3012 0132 0321 0213 0 1 1 1 0 -1 0 1 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 0 0 0 1 0 -1 0 6 0 0 -6 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636091357112 2.043647669659 12 12 9 3 0132 1302 3012 0132 0 0 1 1 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 0 0 0 0 0 -1 1 -5 5 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739784652654 0.655330702901 6 8 4 6 3120 1230 0132 0321 0 1 1 0 0 -1 0 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 0 1 0 -1 -6 0 0 6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766160728405 0.753575334368 11 5 12 7 1302 0132 1023 0213 0 1 1 1 0 1 0 -1 -1 0 0 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 -6 0 0 6 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.243873141133 0.871846312199 6 10 12 7 0132 2031 2310 1230 1 1 1 1 0 0 0 0 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 6 0 0 -6 0 5 0 -5 -1 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757231995234 0.564545694902 8 11 10 8 0132 3201 1023 2031 1 0 1 1 0 1 0 -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 5 0 -5 0 0 0 0 0 -1 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523392723639 1.318121029269 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_12' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_1001_4'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_1001_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : d['c_1001_3'], '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'], 'c_1100_12' : negation(d['c_1001_3']), '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_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_0011_3']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1001_0'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_9']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0011_11'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_9, c_0101_1, c_0101_12, c_0101_9, c_1001_0, c_1001_1, c_1001_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 7598363/19315584*c_1001_4^15 + 25220809/9657792*c_1001_4^14 + 14253419/19315584*c_1001_4^13 + 132970267/19315584*c_1001_4^12 - 6026021/419904*c_1001_4^11 - 1964275/804816*c_1001_4^10 - 287607113/9657792*c_1001_4^9 + 472736975/19315584*c_1001_4^8 + 29010661/19315584*c_1001_4^7 + 444772567/9657792*c_1001_4^6 - 60089221/6438528*c_1001_4^5 - 36451405/9657792*c_1001_4^4 - 419522401/19315584*c_1001_4^3 - 18545197/9657792*c_1001_4^2 + 110705327/6438528*c_1001_4 + 34348135/4828896, c_0011_0 - 1, c_0011_10 + 1/16*c_1001_4^15 + 3/16*c_1001_4^13 - 7/16*c_1001_4^12 + 1/4*c_1001_4^11 - 5/4*c_1001_4^10 + 11/8*c_1001_4^9 - 25/16*c_1001_4^8 + 51/16*c_1001_4^7 - 11/4*c_1001_4^6 + 57/16*c_1001_4^5 - 17/4*c_1001_4^4 + 47/16*c_1001_4^3 - 3*c_1001_4^2 + 37/16*c_1001_4 + 1/8, c_0011_11 - 9/8*c_1001_4^15 - 5/4*c_1001_4^14 - 25/8*c_1001_4^13 + 39/8*c_1001_4^12 + 17/4*c_1001_4^11 + 71/4*c_1001_4^10 - 5*c_1001_4^9 + 15/8*c_1001_4^8 - 263/8*c_1001_4^7 - 3/4*c_1001_4^6 - 119/8*c_1001_4^5 + 21*c_1001_4^4 - 11/8*c_1001_4^3 + 7/4*c_1001_4^2 - 75/8*c_1001_4 - 23/4, c_0011_12 - 13/16*c_1001_4^15 - 1/4*c_1001_4^14 - 35/16*c_1001_4^13 + 75/16*c_1001_4^12 - 1/2*c_1001_4^11 + 25/2*c_1001_4^10 - 73/8*c_1001_4^9 + 113/16*c_1001_4^8 - 367/16*c_1001_4^7 + 13/2*c_1001_4^6 - 193/16*c_1001_4^5 + 51/4*c_1001_4^4 - 27/16*c_1001_4^3 + 3/4*c_1001_4^2 - 45/16*c_1001_4 - 25/8, c_0011_3 - 1/16*c_1001_4^15 - 3/16*c_1001_4^13 + 7/16*c_1001_4^12 - 1/4*c_1001_4^11 + 5/4*c_1001_4^10 - 11/8*c_1001_4^9 + 25/16*c_1001_4^8 - 51/16*c_1001_4^7 + 11/4*c_1001_4^6 - 41/16*c_1001_4^5 + 13/4*c_1001_4^4 - 47/16*c_1001_4^3 + c_1001_4^2 - 21/16*c_1001_4 + 7/8, c_0011_9 + 3/8*c_1001_4^15 + 1/2*c_1001_4^14 + 13/8*c_1001_4^13 - 13/8*c_1001_4^12 - c_1001_4^11 - 9*c_1001_4^10 + 7/4*c_1001_4^9 - 31/8*c_1001_4^8 + 129/8*c_1001_4^7 + 79/8*c_1001_4^5 - 19/2*c_1001_4^4 + 5/8*c_1001_4^3 - 3/2*c_1001_4^2 + 35/8*c_1001_4 + 11/4, c_0101_1 - 1, c_0101_12 - 1/16*c_1001_4^15 - 3/16*c_1001_4^13 + 7/16*c_1001_4^12 - 1/4*c_1001_4^11 + 5/4*c_1001_4^10 - 11/8*c_1001_4^9 + 25/16*c_1001_4^8 - 51/16*c_1001_4^7 + 11/4*c_1001_4^6 - 57/16*c_1001_4^5 + 13/4*c_1001_4^4 - 47/16*c_1001_4^3 + 2*c_1001_4^2 - 21/16*c_1001_4 - 1/8, c_0101_9 + c_1001_4^3 + c_1001_4 - 1, c_1001_0 - c_1001_4, c_1001_1 - c_1001_4 - 1, c_1001_3 + 1/16*c_1001_4^15 + 3/16*c_1001_4^13 - 7/16*c_1001_4^12 + 1/4*c_1001_4^11 - 5/4*c_1001_4^10 + 11/8*c_1001_4^9 - 25/16*c_1001_4^8 + 51/16*c_1001_4^7 - 7/4*c_1001_4^6 + 41/16*c_1001_4^5 - 13/4*c_1001_4^4 - 1/16*c_1001_4^3 - c_1001_4^2 + 5/16*c_1001_4 + 9/8, c_1001_4^16 + c_1001_4^15 + 3*c_1001_4^14 - 4*c_1001_4^13 - 3*c_1001_4^12 - 16*c_1001_4^11 + 2*c_1001_4^10 - 3*c_1001_4^9 + 26*c_1001_4^8 + 7*c_1001_4^7 + 13*c_1001_4^6 - 11*c_1001_4^5 - 5*c_1001_4^4 - c_1001_4^3 + 5*c_1001_4^2 + 7*c_1001_4 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.610 seconds, Total memory usage: 32.09MB