Magma V2.19-8 Tue Aug 20 2013 23:45:01 on localhost [Seed = 4105343315] Type ? for help. Type -D to quit. Loading file "L14n560__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n560 geometric_solution 10.07007854 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 2 0132 0132 0321 0213 0 1 1 1 0 2 -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 -1 0 1 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 1.119206831891 0.911340444273 0 3 5 4 0132 0132 0132 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 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 0.559384755708 1.572159484273 6 0 0 0 0132 0132 0321 0213 0 1 1 1 0 -2 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 1 0 -1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.119206831891 0.911340444273 5 1 7 8 1023 0132 0132 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 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 0.572812538049 0.967480890874 6 8 1 8 3201 0132 0132 1230 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 1 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 0.278137050026 0.782433871404 9 3 10 1 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205800397406 0.355756005594 2 9 9 4 0132 0132 0321 2310 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 -5 4 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 0.548323679344 0.567340396852 10 8 9 3 2310 0321 0132 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 -1 1 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 1.271725791974 0.907005914851 4 4 3 7 3012 0132 0132 0321 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 -1 0 1 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 0.636962880032 0.690409907008 5 6 6 7 0132 0132 0321 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 5 -4 -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 0.548323679344 0.567340396852 10 10 7 5 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809450352586 1.085019175746 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0101_10']), '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_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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' : d['c_1001_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : d['c_1001_0'], 'c_1100_10' : negation(d['c_0011_7']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_1001_6'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : 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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_10']), '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_1'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : negation(d['c_0101_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_10, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_1001_0, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 56730593/38016*c_1001_6^4 + 10974079/6336*c_1001_6^3 - 6891737/4752*c_1001_6^2 + 3330673/6336*c_1001_6 - 6363127/38016, c_0011_0 - 1, c_0011_10 + 41/16*c_1001_6^4 + 5/8*c_1001_6^3 + 2*c_1001_6^2 - 1/8*c_1001_6 - 1/16, c_0011_4 + c_1001_6 - 1, c_0011_7 + 123/16*c_1001_6^4 - 67/8*c_1001_6^3 + 7/2*c_1001_6^2 - 5/8*c_1001_6 - 3/16, c_0101_0 + 2*c_1001_6 - 2, c_0101_1 + 2*c_1001_6 - 1, c_0101_10 - 41/16*c_1001_6^4 - 23/4*c_1001_6^3 + 15/8*c_1001_6^2 - 5/4*c_1001_6 - 5/16, c_0101_8 + 123/16*c_1001_6^4 - 67/8*c_1001_6^3 + 7/2*c_1001_6^2 - 5/8*c_1001_6 - 3/16, c_1001_0 - 1, c_1001_3 + 123/16*c_1001_6^4 - 67/8*c_1001_6^3 + 7/2*c_1001_6^2 - 5/8*c_1001_6 - 3/16, c_1001_6^5 - 31/41*c_1001_6^4 + 22/41*c_1001_6^3 - 2/41*c_1001_6^2 + 1/41*c_1001_6 + 1/41 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_1001_0, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 342601970743/124805570560*c_1001_6^5 - 3501121779379/2121694699520*c_1001_6^4 + 1496290342421/1060847349760*c_1001_6^3 - 145459887537/212169469952*c_1001_6^2 + 4848665023/6956376064*c_1001_6 + 81585373533/2121694699520, c_0011_0 - 1, c_0011_10 - 17/16*c_1001_6^5 + c_1001_6^4 - 3/2*c_1001_6^3 + 13/8*c_1001_6^2 + 1/16*c_1001_6 - 1/8, c_0011_4 + c_1001_6 + 1, c_0011_7 - 187/16*c_1001_6^5 + 5/2*c_1001_6^4 + 17/4*c_1001_6^3 + 19/8*c_1001_6^2 - 9/16*c_1001_6 - 7/8, c_0101_0 - 2*c_1001_6 - 2, c_0101_1 - 2*c_1001_6 - 1, c_0101_10 + 51/16*c_1001_6^5 - 41/8*c_1001_6^4 + 35/8*c_1001_6^3 + 1/2*c_1001_6^2 + 23/16*c_1001_6 - 3/8, c_0101_8 + 51/16*c_1001_6^5 - 3*c_1001_6^4 + 1/4*c_1001_6^3 - 7/8*c_1001_6^2 + 9/16*c_1001_6 - 1/8, c_1001_0 - 1, c_1001_3 + 85/16*c_1001_6^5 + 7/2*c_1001_6^4 - 19/4*c_1001_6^3 - 5/8*c_1001_6^2 - 9/16*c_1001_6 + 9/8, c_1001_6^6 + 1/17*c_1001_6^5 + 8/17*c_1001_6^4 - 2/17*c_1001_6^3 + 5/17*c_1001_6^2 + 1/17*c_1001_6 + 2/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB