Magma V2.19-8 Wed Aug 21 2013 00:53:35 on localhost [Seed = 1064905379] Type ? for help. Type -D to quit. Loading file "L12n167__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n167 geometric_solution 11.57189681 oriented_manifold CS_known -0.0000000000000010 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 -1 0 1 -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 0.399922813271 0.261222808283 0 3 6 5 0132 1023 0132 0132 1 1 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 0 0 0 0 1 0 0 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639447969739 1.669095623751 4 0 3 7 1023 0132 1023 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 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 -5 1 0 4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247302551237 1.144832288739 1 6 2 0 1023 0132 1023 0132 1 1 1 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 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 0.247302551237 1.144832288739 6 2 0 8 0132 1023 0132 0132 1 1 1 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 -1 1 0 0 0 0 0 5 0 -5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797701441147 0.898534010346 9 10 1 11 0132 0132 0132 0132 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 0 0 0 0 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 0.639447969739 1.669095623751 4 3 7 1 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419801171598 0.573325003593 12 6 2 8 0132 0213 0132 1023 1 1 1 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 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 0.170428932861 1.234173191967 11 12 4 7 3012 1302 0132 1023 1 1 1 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 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 0.773013043368 0.664604482595 5 11 10 10 0132 2031 1302 1023 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 0 0 0 0 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 -0.173808260946 1.296642666864 9 5 12 9 2031 0132 3120 1023 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 0 0 0 0 0 0 0 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 0 0 0 0.383709318528 0.423862985660 9 12 5 8 1302 3120 0132 1230 1 1 1 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 -1 0 1 0 -1 -4 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685417371456 0.659027122870 7 11 10 8 0132 3120 3120 2031 1 1 1 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 0 0 0 0 1 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318831144908 0.300363536835 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_10']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_7'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0101_0'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_8'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : d['c_0110_8'], 'c_1100_1' : d['c_0110_8'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0110_8'], 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0110_8'], '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_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_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_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0110_8, c_1001_0, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 10044997/232652800*c_1100_0^6 + 18033263/58163200*c_1100_0^5 - 367795179/232652800*c_1100_0^4 + 99041761/29081600*c_1100_0^3 - 777946297/232652800*c_1100_0^2 + 38178511/58163200*c_1100_0 + 238134559/232652800, c_0011_0 - 1, c_0011_10 - 1/32*c_1100_0^6 - 5/16*c_1100_0^5 + 11/32*c_1100_0^4 - 5/8*c_1100_0^3 + 5/32*c_1100_0^2 - 9/16*c_1100_0 + 33/32, c_0011_11 + 1/64*c_1100_0^6 + 3/16*c_1100_0^5 + 9/64*c_1100_0^4 + 51/64*c_1100_0^2 + 5/16*c_1100_0 + 35/64, c_0011_12 - 1/64*c_1100_0^6 - 5/32*c_1100_0^5 + 9/64*c_1100_0^4 - 11/16*c_1100_0^3 - 15/64*c_1100_0^2 - 5/32*c_1100_0 + 7/64, c_0101_0 - 1, c_0101_1 - 1/64*c_1100_0^6 - 5/32*c_1100_0^5 + 9/64*c_1100_0^4 - 11/16*c_1100_0^3 - 15/64*c_1100_0^2 - 37/32*c_1100_0 + 7/64, c_0101_10 - 1/64*c_1100_0^6 - 1/8*c_1100_0^5 + 31/64*c_1100_0^4 - 5/8*c_1100_0^3 + 77/64*c_1100_0^2 - 1/4*c_1100_0 + 85/64, c_0101_2 - 1, c_0101_7 + 1, c_0110_8 - 1/64*c_1100_0^6 - 5/32*c_1100_0^5 + 9/64*c_1100_0^4 - 11/16*c_1100_0^3 - 15/64*c_1100_0^2 - 37/32*c_1100_0 - 57/64, c_1001_0 - c_1100_0 + 1, c_1001_10 + 1/32*c_1100_0^6 + 1/4*c_1100_0^5 - 33/32*c_1100_0^4 + 5/8*c_1100_0^3 - 45/32*c_1100_0^2 - 3/8*c_1100_0 - 99/32, c_1100_0^7 + 9*c_1100_0^6 - 19*c_1100_0^5 + 53*c_1100_0^4 - 29*c_1100_0^3 + 59*c_1100_0^2 - 17*c_1100_0 + 71 ], 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_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0110_8, c_1001_0, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 83/116*c_1100_0^6 + 937/464*c_1100_0^5 + 3761/928*c_1100_0^4 + 1913/464*c_1100_0^3 + 439/116*c_1100_0^2 + 443/232*c_1100_0 + 1343/928, c_0011_0 - 1, c_0011_10 + 1/4*c_1100_0^6 + 5/16*c_1100_0^5 - 3/8*c_1100_0^3 - c_1100_0^2 + 9/16*c_1100_0 - 3/4, c_0011_11 - 1/2*c_1100_0^5 - 1/8*c_1100_0^4 - 7/8*c_1100_0^3 + 11/8*c_1100_0^2 - 1/8*c_1100_0 + 9/4, c_0011_12 - 1/8*c_1100_0^6 - 1/32*c_1100_0^5 - 11/32*c_1100_0^4 + 9/16*c_1100_0^3 - 7/16*c_1100_0^2 + 15/32*c_1100_0 - 3/32, c_0101_0 - 1, c_0101_1 + 1/8*c_1100_0^6 + 1/32*c_1100_0^5 + 11/32*c_1100_0^4 - 9/16*c_1100_0^3 + 7/16*c_1100_0^2 - 47/32*c_1100_0 + 3/32, c_0101_10 + 1/4*c_1100_0^6 + 5/16*c_1100_0^5 + 1/2*c_1100_0^4 - 1/4*c_1100_0^3 - 9/8*c_1100_0^2 - 17/16*c_1100_0 - 13/8, c_0101_2 + 1, c_0101_7 + 1, c_0110_8 + 1/8*c_1100_0^6 + 1/32*c_1100_0^5 + 11/32*c_1100_0^4 - 9/16*c_1100_0^3 + 7/16*c_1100_0^2 - 47/32*c_1100_0 + 35/32, c_1001_0 + c_1100_0 + 1, c_1001_10 - 1/2*c_1100_0^6 + 1/8*c_1100_0^5 - 9/16*c_1100_0^4 + 11/8*c_1100_0^3 - 1/2*c_1100_0^2 + c_1100_0 + 17/16, c_1100_0^7 + 5/4*c_1100_0^6 + 3*c_1100_0^5 - 7/4*c_1100_0^4 - c_1100_0^3 - 33/4*c_1100_0^2 - 3*c_1100_0 - 29/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.310 seconds, Total memory usage: 32.09MB