Magma V2.19-8 Wed Aug 21 2013 00:57:17 on localhost [Seed = 1292588947] Type ? for help. Type -D to quit. Loading file "L13n41__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n41 geometric_solution 12.01936452 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628285884734 0.828548226532 0 5 6 2 0132 0132 0132 3120 1 1 1 1 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 8 -1 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387090528531 0.527884943556 1 0 3 5 3120 0132 3120 2310 1 1 1 1 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 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000183605439 0.641796897283 5 7 2 0 2310 0132 3120 0132 1 1 1 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 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418918458302 0.766297783449 8 7 0 6 0132 2310 0132 0132 1 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 -1 1 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387090528531 0.527884943556 2 1 3 9 3201 0132 3201 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 7 0 0 -7 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936711351336 0.806768114781 10 9 4 1 0132 0132 0132 0132 1 1 1 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 -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 1.096641560402 1.231932283922 11 3 9 4 0132 0132 3201 3201 1 0 1 1 0 0 0 0 1 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 0 -1 0 1 0 0 1 -1 -1 0 0 1 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936711351336 0.806768114781 4 12 11 10 0132 0132 2031 0132 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 -8 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 0.500000000000 0.500000000000 7 6 5 12 2310 0132 0132 1023 1 1 0 1 0 0 0 0 0 0 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 7 -7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596864434852 0.452869684531 6 12 8 11 0132 1023 0132 3012 1 1 0 1 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 -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 1.000000000000 1.000000000000 7 12 10 8 0132 3201 1230 1302 1 0 1 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 1 0 0 0 0 0 -8 0 0 8 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 10 8 11 9 1023 0132 2310 1023 1 1 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 0 0 0 0 0 0 0 0 -7 0 7 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 0.000000000000 1.000000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0101_11']), '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_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_1001_2']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_12'], 's_3_1' : d['1'], 's_3_0' : negation(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' : 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' : 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' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_7']), '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_0101_9'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1'], '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_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0101_7, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 11/120*c_1001_2^3 - 47/600*c_1001_2^2 + 377/120*c_1001_2 - 161/60, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 2/15*c_1001_2^2 + 4/3, c_0101_0 + 1/25*c_1001_2^3 + 6/5*c_1001_2, c_0101_1 + 2/15*c_1001_2^2 + 4/3, c_0101_11 - 1, c_0101_12 + 1/75*c_1001_2^3 - 1/15*c_1001_2^2 + 11/15*c_1001_2 - 2/3, c_0101_2 + 1/15*c_1001_2^2 - 1/3, c_0101_6 - 1/25*c_1001_2^3 - 6/5*c_1001_2, c_0101_7 - 1/25*c_1001_2^3 - 6/5*c_1001_2, c_0101_9 + 1/15*c_1001_2^2 - 1/3, c_1001_1 + 4/75*c_1001_2^3 + 29/15*c_1001_2, c_1001_2^4 + 35*c_1001_2^2 + 25 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0101_7, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 55/1088*c_1001_2^7 + 19/272*c_1001_2^6 + 47/272*c_1001_2^5 + 47/136*c_1001_2^4 - 15/272*c_1001_2^3 + 35/68*c_1001_2^2 - 689/1088*c_1001_2 - 47/272, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 1/34*c_1001_2^6 - 13/34*c_1001_2^4 - 19/34*c_1001_2^2 - 1/17, c_0101_0 + 1/68*c_1001_2^7 + 13/68*c_1001_2^5 + 19/68*c_1001_2^3 + 1/34*c_1001_2, c_0101_1 - 1/34*c_1001_2^6 - 13/34*c_1001_2^4 - 19/34*c_1001_2^2 - 1/17, c_0101_11 + 1, c_0101_12 - 5/136*c_1001_2^7 - 1/68*c_1001_2^6 - 7/68*c_1001_2^5 - 13/68*c_1001_2^4 - 5/68*c_1001_2^3 - 19/68*c_1001_2^2 + 41/136*c_1001_2 - 1/34, c_0101_2 + 3/34*c_1001_2^6 + 5/34*c_1001_2^4 - 11/34*c_1001_2^2 + 3/17, c_0101_6 - 1/68*c_1001_2^7 + 1/17*c_1001_2^5 + 8/17*c_1001_2^3 + 15/68*c_1001_2, c_0101_7 + 1/68*c_1001_2^7 - 1/17*c_1001_2^5 - 8/17*c_1001_2^3 - 15/68*c_1001_2, c_0101_9 + 3/34*c_1001_2^6 + 5/34*c_1001_2^4 - 11/34*c_1001_2^2 + 3/17, c_1001_1 - 5/34*c_1001_2^7 - 7/17*c_1001_2^5 - 5/17*c_1001_2^3 + 7/34*c_1001_2, c_1001_2^8 + 4*c_1001_2^6 + 4*c_1001_2^4 + c_1001_2^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB