Magma V2.19-8 Tue Aug 20 2013 23:52:41 on localhost [Seed = 1478374286] Type ? for help. Type -D to quit. Loading file "L13n332__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n332 geometric_solution 10.74025767 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 1023 0132 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.217937903743 1.252518573644 0 3 0 4 0132 1023 1023 0132 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 0 0 -1 0 1 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 -0.217937903743 1.252518573644 3 0 5 4 1023 0132 0132 1230 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 1 0 -12 0 0 12 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.091197488343 0.540647554504 1 2 0 6 1023 1023 0132 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 -1 0 0 0 1 -1 -1 12 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552502754263 0.983908897242 2 7 1 6 3012 0132 0132 1023 1 1 1 1 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 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312037939788 0.560818640379 8 7 6 2 0132 3012 0213 0132 1 1 1 1 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 -1 0 1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.445461743787 0.699892157174 9 5 3 4 0132 0213 0132 1023 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 0 0 -1 0 1 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 0.667050271646 0.533759863331 5 4 11 10 1230 0132 0132 0132 1 1 1 1 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 1 0 0 -1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228993221934 0.480144442696 5 10 11 10 0132 2031 3201 2103 0 1 1 1 0 3 -2 -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 -2 1 1 -1 0 0 1 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189437781290 0.818566723617 6 11 11 10 0132 3201 3012 2031 0 1 1 1 0 2 0 -2 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 -1 0 1 1 0 11 -12 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731651023225 1.159544528068 8 9 7 8 1302 1302 0132 2103 1 1 0 1 0 -1 0 1 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 0 -12 0 0 1 -1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731651023225 1.159544528068 8 9 9 7 2310 1230 2310 0132 1 1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -11 11 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 0.731651023225 1.159544528068 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : negation(d['1']), 's_0_11' : 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_5'], 's_2_0' : 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' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_4'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_0011_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_9']})} 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_11, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_2, c_0101_6, c_0101_9, c_0110_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 216745/37687*c_0110_4^4 + 1700347/75374*c_0110_4^3 + 130703/75374*c_0110_4^2 - 3011109/75374*c_0110_4 - 3175345/37687, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1, c_0011_4 - 2/223*c_0110_4^4 - 38/223*c_0110_4^3 + 18/223*c_0110_4^2 + 177/223*c_0110_4 + 252/223, c_0011_5 + 10/223*c_0110_4^4 - 33/223*c_0110_4^3 - 90/223*c_0110_4^2 + 7/223*c_0110_4 + 301/223, c_0011_6 + 22/223*c_0110_4^4 - 28/223*c_0110_4^3 - 198/223*c_0110_4^2 + 60/223*c_0110_4 + 350/223, c_0101_0 + 18/223*c_0110_4^4 - 104/223*c_0110_4^3 + 61/223*c_0110_4^2 + 191/223*c_0110_4 + 185/223, c_0101_2 - 12/223*c_0110_4^4 - 5/223*c_0110_4^3 + 108/223*c_0110_4^2 - 53/223*c_0110_4 - 49/223, c_0101_6 + 12/223*c_0110_4^4 + 5/223*c_0110_4^3 - 108/223*c_0110_4^2 + 53/223*c_0110_4 + 49/223, c_0101_9 + 10/223*c_0110_4^4 - 33/223*c_0110_4^3 - 90/223*c_0110_4^2 + 7/223*c_0110_4 + 301/223, c_0110_4^5 - 4*c_0110_4^4 + 7*c_0110_4^2 + 14*c_0110_4 - 1, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_2, c_0101_6, c_0101_9, c_0110_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 830/20007*c_0110_4^5 + 1565/6669*c_0110_4^4 + 7963/40014*c_0110_4^3 + 11683/40014*c_0110_4^2 + 13865/13338*c_0110_4 + 19645/20007, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1, c_0011_4 - 5/38*c_0110_4^5 + 4/19*c_0110_4^4 + 2/19*c_0110_4^3 - 23/38*c_0110_4^2 + 4/19*c_0110_4 + 53/38, c_0011_5 + 1/19*c_0110_4^5 + 6/19*c_0110_4^4 + 3/19*c_0110_4^3 - 3/19*c_0110_4^2 + 25/19*c_0110_4 + 16/19, c_0011_6 + 9/38*c_0110_4^5 + 8/19*c_0110_4^4 + 4/19*c_0110_4^3 + 11/38*c_0110_4^2 + 27/19*c_0110_4 + 11/38, c_0101_0 - 9/38*c_0110_4^5 - 8/19*c_0110_4^4 - 4/19*c_0110_4^3 - 49/38*c_0110_4^2 - 46/19*c_0110_4 - 49/38, c_0101_2 + 7/38*c_0110_4^5 + 2/19*c_0110_4^4 + 1/19*c_0110_4^3 + 17/38*c_0110_4^2 + 2/19*c_0110_4 - 21/38, c_0101_6 - 7/38*c_0110_4^5 - 2/19*c_0110_4^4 - 1/19*c_0110_4^3 - 17/38*c_0110_4^2 - 2/19*c_0110_4 + 21/38, c_0101_9 + 1/19*c_0110_4^5 + 6/19*c_0110_4^4 + 3/19*c_0110_4^3 - 3/19*c_0110_4^2 + 25/19*c_0110_4 + 16/19, c_0110_4^6 + 3*c_0110_4^5 + 4*c_0110_4^4 + 7*c_0110_4^3 + 15*c_0110_4^2 + 17*c_0110_4 + 9, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB