Magma V2.19-8 Tue Aug 20 2013 23:49:05 on localhost [Seed = 104885390] Type ? for help. Type -D to quit. Loading file "L12n1343__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1343 geometric_solution 10.92709835 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 0 0 0 0 0 0 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 -1 1 -1 -4 0 5 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.237453596113 0.749532024868 0 2 6 5 0132 2310 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.237453596113 0.749532024868 6 0 3 1 1302 0132 0213 3201 0 0 0 0 0 0 0 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 0 1 4 0 0 -4 1 -1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778706285235 0.423422027290 7 2 4 0 0132 0213 0213 0132 0 1 0 0 0 0 0 0 -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 0 0 0 -6 0 5 1 -5 0 0 5 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323248622739 0.747391790057 8 3 0 5 0132 0213 0132 0213 0 1 1 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 0 1 -1 1 0 -1 0 5 -5 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428387078935 0.430956592206 9 6 1 4 0132 0213 0132 0213 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 -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 0.428387078935 0.430956592206 10 2 5 1 0132 2031 0213 0132 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323248622739 0.747391790057 3 11 9 10 0132 0132 0132 1023 1 1 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 0 0 0 6 0 0 -6 4 0 0 -4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587419148400 0.888395686912 4 11 9 10 0132 0321 0321 0132 1 1 0 1 0 0 -1 1 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 -1 -5 6 -1 0 1 0 -5 5 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.839811088876 1.167147853049 5 11 8 7 0132 1230 0321 0132 1 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 0 0 0 0 0 0 0 -5 5 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 0.839811088876 1.167147853049 6 11 8 7 0132 1023 0132 1023 1 1 0 0 0 0 -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 -6 6 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587419148400 0.888395686912 10 7 9 8 1023 0132 3012 0321 1 1 0 0 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 0 -1 1 0 0 5 -5 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397012342193 0.495846653506 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0110_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_8']), 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0011_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_8'], 'c_1100_8' : negation(d['c_1001_8']), 'c_1100_5' : d['c_1010_4'], 'c_1100_4' : d['c_1010_4'], 'c_1100_7' : d['c_1001_8'], 'c_1100_6' : d['c_1010_4'], 'c_1100_1' : d['c_1010_4'], 'c_1100_0' : d['c_1010_4'], 'c_1100_3' : d['c_1010_4'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : negation(d['c_1001_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_1010_4'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_4'], 'c_0110_10' : d['c_0011_5'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_1'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_8, c_0110_2, c_1001_2, c_1001_8, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 74015/48*c_1010_4^8 + 192669/16*c_1010_4^7 - 157317/4*c_1010_4^6 + 1137283/16*c_1010_4^5 - 4077209/48*c_1010_4^4 + 1265465/16*c_1010_4^3 - 431901/8*c_1010_4^2 + 349411/16*c_1010_4 - 385969/48, c_0011_0 - 1, c_0011_10 + c_1010_4^2 - 2*c_1010_4, c_0011_4 - c_1010_4^3 + 2*c_1010_4^2 - c_1010_4 + 1, c_0011_5 - c_1010_4^3 + 2*c_1010_4^2 - c_1010_4 + 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - c_1010_4^8 + 7*c_1010_4^7 - 21*c_1010_4^6 + 36*c_1010_4^5 - 42*c_1010_4^4 + 37*c_1010_4^3 - 23*c_1010_4^2 + 9*c_1010_4 - 2, c_0101_8 + c_1010_4^3 - c_1010_4^2, c_0110_2 + c_1010_4 - 1, c_1001_2 + c_1010_4 - 1, c_1001_8 + c_1010_4^8 - 6*c_1010_4^7 + 15*c_1010_4^6 - 21*c_1010_4^5 + 21*c_1010_4^4 - 16*c_1010_4^3 + 7*c_1010_4^2 - 2*c_1010_4, c_1010_4^9 - 8*c_1010_4^8 + 27*c_1010_4^7 - 51*c_1010_4^6 + 64*c_1010_4^5 - 62*c_1010_4^4 + 45*c_1010_4^3 - 21*c_1010_4^2 + 8*c_1010_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB