Magma V2.19-8 Tue Aug 20 2013 23:45:13 on localhost [Seed = 290944198] Type ? for help. Type -D to quit. Loading file "K13n2393__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2393 geometric_solution 11.00573079 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 0321 0132 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 -1 0 1 -10 0 10 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588966779647 0.451689600152 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 10 0 1 -11 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.429136602632 1.101227383602 7 0 0 8 0132 0132 0321 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588966779647 0.451689600152 5 9 0 9 1230 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.351038141214 0.891882609835 10 1 9 11 0132 0132 2103 0132 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 1 0 0 -1 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074789725219 1.101057132607 8 3 1 6 0132 3012 0132 2310 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 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510356997380 0.744650894885 5 7 7 1 3201 2103 0321 0132 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 11 -11 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 -0.030168778653 1.032535485601 2 6 6 10 0132 2103 0321 3201 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 0 11 -11 0 0 -1 1 0 -11 0 11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778707580634 0.476357866696 5 11 2 10 0132 2310 0132 1023 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 0 0 1 -1 11 0 0 -11 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949735165899 1.059088791566 4 3 11 3 2103 0132 3201 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.351038141214 0.891882609835 4 7 11 8 0132 2310 0213 1023 0 0 0 0 0 -1 0 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 -11 0 11 -1 0 0 1 0 -1 0 1 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442995262211 0.635676096987 9 10 4 8 2310 0213 0132 3201 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 1 -1 0 0 0 0 -1 11 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304495487253 0.437219163367 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : d['c_0101_0'], '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_0011_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_4'], 'c_1100_8' : d['c_1001_0'], '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'], 's_1_7' : 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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], '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_11' : negation(d['c_0101_4']), 'c_0110_10' : d['c_0101_4'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_6']), '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_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : negation(d['c_0101_0']), '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_11, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 613112/29725*c_1001_1*c_1001_2^3 - 132688/29725*c_1001_1*c_1001_2^2 + 246664/29725*c_1001_1*c_1001_2 + 224564/29725*c_1001_1 + 1595512/29725*c_1001_2^3 - 457168/29725*c_1001_2^2 + 765564/29725*c_1001_2 + 416304/29725, c_0011_0 - 1, c_0011_11 + 2*c_1001_2^2 + 1, c_0011_3 - 2*c_1001_1*c_1001_2^3 - c_1001_1*c_1001_2 - c_1001_2^2, c_0011_5 + 2*c_1001_1*c_1001_2^3 + c_1001_1*c_1001_2 - c_1001_2^2 - 1, c_0011_6 + c_1001_1*c_1001_2 - c_1001_1 - 2*c_1001_2^3 - c_1001_2^2 - c_1001_2 - 1, c_0101_0 - c_1001_1*c_1001_2 + c_1001_2^2, c_0101_1 - c_1001_2, c_0101_4 + 2*c_1001_2^3 + 2*c_1001_2, c_0101_6 + c_1001_1*c_1001_2 - c_1001_2^2 - c_1001_2 - 1, c_1001_0 - c_1001_1*c_1001_2 + c_1001_2^2 + 1, c_1001_1^2 + 4*c_1001_1*c_1001_2^3 + 2*c_1001_1*c_1001_2 + c_1001_1 + 2*c_1001_2^3 - c_1001_2^2 + c_1001_2 - 1, c_1001_2^4 + c_1001_2^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.750 Total time: 0.950 seconds, Total memory usage: 32.09MB