Magma V2.19-8 Tue Aug 20 2013 23:42:47 on localhost [Seed = 3516380310] Type ? for help. Type -D to quit. Loading file "L13n573__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n573 geometric_solution 10.56280631 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 0213 0 1 1 1 0 -3 2 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 2 -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 0 0 0 0 0 0.692863585471 0.802299894102 0 4 6 5 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637293959649 0.547506101733 7 0 6 0 0132 0132 3012 0213 0 1 1 1 0 3 -2 -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 -2 1 1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692863585471 0.802299894102 7 6 6 0 2031 3012 3120 0132 0 1 1 1 0 2 0 -2 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 0 1 1 0 0 -1 0 0 0 0 -8 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383433480502 0.713951871152 8 1 9 7 0132 0132 0132 1023 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -8 8 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 0.539215799794 0.687834254135 7 10 1 9 1023 0132 0132 0132 1 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 7 -7 0 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 0.539215799794 0.687834254135 3 2 3 1 1230 1230 3120 0132 1 1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 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 0.692863585471 0.802299894102 2 5 3 4 0132 1023 1302 1023 1 1 1 1 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 -1 1 0 0 8 -8 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637293959649 0.547506101733 4 10 9 10 0132 1023 2103 3012 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 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 1.008969283416 0.795167808663 8 10 5 4 2103 0321 0132 0132 1 1 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 -8 0 8 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 0.385727170943 1.604599788204 8 5 8 9 1023 0132 1230 0321 1 1 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 -7 -1 8 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 1.008969283416 0.795167808663 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_10' : d['c_0101_4'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_9'], 'c_1010_10' : d['c_1001_4'], '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_0011_9'], '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' : negation(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_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0101_4'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_9']), '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'], 's_1_7' : d['1'], 's_1_6' : 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_9'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_10' : negation(d['c_0011_9']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : negation(d['c_0011_0'])})} 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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_4, c_0101_6, c_0101_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 20121/14575*c_1001_4^4 + 203069/29150*c_1001_4^3 + 175613/14575*c_1001_4^2 + 177431/29150*c_1001_4 - 55142/14575, c_0011_0 - 1, c_0011_3 + 114/53*c_1001_4^4 + 346/53*c_1001_4^3 + 280/53*c_1001_4^2 - 226/53*c_1001_4 - 186/53, c_0011_6 - 1, c_0011_9 + 3/53*c_1001_4^4 - 16/53*c_1001_4^3 - 1/53*c_1001_4^2 + 8/53*c_1001_4 + 23/53, c_0101_0 + 114/53*c_1001_4^4 + 346/53*c_1001_4^3 + 280/53*c_1001_4^2 - 226/53*c_1001_4 - 239/53, c_0101_2 + 114/53*c_1001_4^4 + 346/53*c_1001_4^3 + 280/53*c_1001_4^2 - 226/53*c_1001_4 - 239/53, c_0101_3 - 1, c_0101_4 + 42/53*c_1001_4^4 + 94/53*c_1001_4^3 + 39/53*c_1001_4^2 - 100/53*c_1001_4 - 49/53, c_0101_6 + 1, c_0101_8 - c_1001_4, c_1001_4^5 + 11/3*c_1001_4^4 + 14/3*c_1001_4^3 - 1/3*c_1001_4^2 - 11/3*c_1001_4 - 5/3 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_4, c_0101_6, c_0101_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 124/5*c_1001_4^5 - 267/5*c_1001_4^4 - 329/10*c_1001_4^3 + 61/5*c_1001_4^2 + 33/2*c_1001_4 + 22/5, c_0011_0 - 1, c_0011_3 + 8*c_1001_4^5 + 14*c_1001_4^4 + 2*c_1001_4^3 - 8*c_1001_4^2 - 2*c_1001_4 + 2, c_0011_6 + 1, c_0011_9 + 4*c_1001_4^5 + 11*c_1001_4^4 + 8*c_1001_4^3 - c_1001_4^2 - 4*c_1001_4 - 1, c_0101_0 - 8*c_1001_4^5 - 14*c_1001_4^4 - 2*c_1001_4^3 + 8*c_1001_4^2 + 2*c_1001_4 - 1, c_0101_2 - 8*c_1001_4^5 - 14*c_1001_4^4 - 2*c_1001_4^3 + 8*c_1001_4^2 + 2*c_1001_4 - 1, c_0101_3 - 1, c_0101_4 - 8*c_1001_4^5 - 14*c_1001_4^4 - 6*c_1001_4^3 + 5*c_1001_4^2 + 4*c_1001_4 + 1, c_0101_6 + 1, c_0101_8 - c_1001_4, c_1001_4^6 + 7/4*c_1001_4^5 + 1/4*c_1001_4^4 - 3/2*c_1001_4^3 - 3/4*c_1001_4^2 + 1/4*c_1001_4 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB