Magma V2.19-8 Wed Aug 21 2013 00:58:20 on localhost [Seed = 3802462329] Type ? for help. Type -D to quit. Loading file "L13n5099__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5099 geometric_solution 11.87300453 oriented_manifold CS_known -0.0000000000000002 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 -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 -1 0 1 5 0 -5 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 0.374502302816 0.283426270900 0 4 6 5 0132 2103 0132 0132 1 1 1 0 0 0 0 0 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 1 -1 0 -5 0 1 4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622710980952 0.972575056937 7 0 7 5 0132 0132 3012 3120 1 1 1 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 1 -1 0 4 0 0 -4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786219766534 0.597624915079 8 5 9 0 0132 3120 0132 0132 1 1 1 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 0 0 -5 0 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 1.280276744119 2.334202116806 10 1 0 11 0132 2103 0132 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 -1 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 0.281616349151 0.803128498932 2 3 1 10 3120 3120 0132 3012 1 1 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 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 0 0 0 0 0 0 0 0.275627406208 0.982617893612 10 11 9 1 3120 0321 0321 0132 1 1 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 -1 0 1 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 0.564446829810 0.633503558861 2 2 9 8 0132 1230 2103 2103 1 1 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 0 0 -4 0 0 4 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530659647532 1.483464685442 3 11 12 7 0132 2031 0132 2103 0 1 1 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 0 1 5 0 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374502302816 0.283426270900 7 12 6 3 2103 3012 0321 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 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 0.486073379567 0.659362881015 4 12 5 6 0132 2103 1230 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736935047701 1.071857599301 8 12 4 6 1302 3201 0132 0321 1 1 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 -1 1 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 0.611200680757 1.108798599909 9 10 11 8 1230 2103 2310 0132 0 1 1 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 -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 0.622710980952 0.972575056937 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_12']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : 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_3'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : 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_1001_6'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_6'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : d['c_0011_11'], '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' : d['c_0011_11'], 's_1_7' : negation(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_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0011_9'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_9'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_11']), 'c_1100_8' : 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_5, c_0011_6, c_0011_9, c_0101_1, c_0101_12, c_0101_3, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2946/29*c_1001_6^5 - 1011/7*c_1001_6^4 + 3686/203*c_1001_6^3 + 64047/203*c_1001_6^2 - 45628/203*c_1001_6 + 35715/203, c_0011_0 - 1, c_0011_10 - c_1001_6^4 + c_1001_6^3 + c_1001_6^2 - 3*c_1001_6 + 1, c_0011_11 - c_1001_6 + 1, c_0011_12 - c_1001_6^4 + 2*c_1001_6^3 + c_1001_6^2 - 3*c_1001_6 + 2, c_0011_3 + c_1001_6^5 - c_1001_6^4 + 3*c_1001_6^2 - c_1001_6 + 1, c_0011_5 - 2*c_1001_6^5 + 3*c_1001_6^4 - 6*c_1001_6^2 + 5*c_1001_6 - 3, c_0011_6 - c_1001_6^5 + c_1001_6^4 + c_1001_6^3 - 4*c_1001_6^2 + c_1001_6 + 1, c_0011_9 - 1, c_0101_1 - 2*c_1001_6^5 + 3*c_1001_6^4 - 7*c_1001_6^2 + 4*c_1001_6 - 1, c_0101_12 + c_1001_6^5 - 2*c_1001_6^4 + 4*c_1001_6^2 - 3*c_1001_6 + 2, c_0101_3 + c_1001_6^2, c_0101_6 - c_1001_6^5 + c_1001_6^4 - 3*c_1001_6^2 + 2*c_1001_6, c_1001_6^6 - 2*c_1001_6^5 + c_1001_6^4 + 3*c_1001_6^3 - 4*c_1001_6^2 + 3*c_1001_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.540 Total time: 0.750 seconds, Total memory usage: 64.12MB