Magma V2.19-8 Tue Aug 20 2013 23:42:54 on localhost [Seed = 3431639428] Type ? for help. Type -D to quit. Loading file "L13n6567__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6567 geometric_solution 9.58012176 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 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 0 0 0 0 0 0 -1 1 -2 0 3 -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 0.187114003983 0.864607487224 0 5 6 4 0132 0132 0132 0213 1 0 0 1 0 0 -1 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 0 1 -1 2 0 0 -2 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.316898623959 1.029102822471 7 0 6 3 0132 0132 3120 3120 1 0 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.448877510462 0.788548417883 2 8 9 0 3120 0132 0132 0132 1 0 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 -1 0 1 3 0 0 -3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613521861956 0.542297795820 8 7 0 1 0132 2310 0132 0213 1 0 0 1 0 1 0 -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 0 -1 1 0 0 1 -1 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760894320960 1.104848145702 7 1 9 6 1023 0132 0321 3201 1 1 1 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 1 0 0 -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 -0.128478573338 1.222900087130 10 5 2 1 0132 2310 3120 0132 1 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 1 0 -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 -0.128478573338 1.222900087130 2 5 8 4 0132 1023 0321 3201 1 0 1 0 0 0 0 0 1 0 0 -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 -1 1 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532469096754 0.289795141953 4 3 7 10 0132 0132 0321 0132 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 1 -1 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 0.871521426662 1.222900087130 10 10 5 3 3120 2103 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613521861956 0.542297795820 6 9 8 9 0132 2103 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084973086587 0.808800971946 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_1'], '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_10' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_5'], 'c_1100_8' : d['c_0101_5'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : d['c_0101_5'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(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'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0101_5']), 'c_0101_8' : negation(d['c_0101_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], '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_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0110_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2323541/512*c_1001_5^7 - 2932499/256*c_1001_5^6 - 19059449/512*c_1001_5^5 + 370553/16*c_1001_5^4 + 19091867/256*c_1001_5^3 - 227529/256*c_1001_5^2 - 442933/16*c_1001_5 + 4896137/512, c_0011_0 - 1, c_0011_10 + c_1001_5^7 - 3*c_1001_5^6 - 7*c_1001_5^5 + 8*c_1001_5^4 + 16*c_1001_5^3 - 5*c_1001_5^2 - 9*c_1001_5 + 3, c_0011_3 - c_1001_5^7 + 3*c_1001_5^6 + 7*c_1001_5^5 - 9*c_1001_5^4 - 14*c_1001_5^3 + 8*c_1001_5^2 + 7*c_1001_5 - 4, c_0011_9 - 2*c_1001_5^7 + 5*c_1001_5^6 + 17*c_1001_5^5 - 11*c_1001_5^4 - 36*c_1001_5^3 + 3*c_1001_5^2 + 17*c_1001_5 - 5, c_0101_0 - 1, c_0101_1 - c_1001_5, c_0101_2 - 1, c_0101_3 - c_1001_5^7 + 3*c_1001_5^6 + 7*c_1001_5^5 - 9*c_1001_5^4 - 14*c_1001_5^3 + 7*c_1001_5^2 + 7*c_1001_5 - 3, c_0101_5 - c_1001_5^7 + 3*c_1001_5^6 + 7*c_1001_5^5 - 9*c_1001_5^4 - 14*c_1001_5^3 + 7*c_1001_5^2 + 7*c_1001_5 - 3, c_0110_5 - c_1001_5^2 + 1, c_1001_5^8 - 3*c_1001_5^7 - 7*c_1001_5^6 + 9*c_1001_5^5 + 14*c_1001_5^4 - 8*c_1001_5^3 - 6*c_1001_5^2 + 5*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB