Magma V2.19-8 Tue Aug 20 2013 23:39:10 on localhost [Seed = 2160518383] Type ? for help. Type -D to quit. Loading file "K13a4843__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13a4843 geometric_solution 9.08936704 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026726592383 1.420588578359 0 3 4 5 0132 0213 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391741910444 0.531505923349 6 0 8 7 0132 0132 0132 0132 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 1 -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 0.313424308546 1.287102635750 7 9 1 0 3201 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378502969083 1.235190426688 9 1 0 5 2031 0213 0132 0321 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 -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 0.255418682320 0.570709425804 7 4 1 8 1230 0321 0132 3120 0 0 0 0 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 -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 0.665805148229 0.462395142869 2 7 10 10 0132 3012 0132 2310 0 0 0 0 0 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 1 -1 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 1.022505876140 1.361577736447 6 5 2 3 1230 3012 0132 2310 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.692068658377 1.139035196428 5 9 9 2 3120 0321 3201 0132 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 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 0.015058023388 0.535018936728 8 3 4 8 2310 0132 1302 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015058023388 0.535018936728 6 10 10 6 3201 3201 2310 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 -1 0 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 -0.685543380873 0.342505493861 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_5']), 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), '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_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' : d['c_0011_4'], 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_0011_3'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_1'], '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0011_0'], 'c_0110_6' : d['c_0011_7']})} 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_3, c_0011_4, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_6, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 571/6929*c_1001_5^5 - 2466/6929*c_1001_5^4 - 3557/6929*c_1001_5^3 - 2104/6929*c_1001_5^2 - 4490/6929*c_1001_5 - 1695/6929, c_0011_0 - 1, c_0011_10 + 8/533*c_1001_5^5 - 57/533*c_1001_5^4 - 192/533*c_1001_5^3 + 20/533*c_1001_5^2 + 108/533*c_1001_5 - 67/41, c_0011_3 + 23/533*c_1001_5^5 + 36/533*c_1001_5^4 - 19/533*c_1001_5^3 - 209/533*c_1001_5^2 + 44/533*c_1001_5 + 38/41, c_0011_4 - 23/533*c_1001_5^5 - 36/533*c_1001_5^4 + 19/533*c_1001_5^3 + 209/533*c_1001_5^2 - 44/533*c_1001_5 + 3/41, c_0011_5 - 38/533*c_1001_5^5 - 129/533*c_1001_5^4 - 154/533*c_1001_5^3 - 95/533*c_1001_5^2 + 20/533*c_1001_5 - 20/41, c_0011_7 + 30/533*c_1001_5^5 + 186/533*c_1001_5^4 + 346/533*c_1001_5^3 + 75/533*c_1001_5^2 - 128/533*c_1001_5 + 46/41, c_0011_8 + 38/533*c_1001_5^5 + 129/533*c_1001_5^4 + 154/533*c_1001_5^3 + 95/533*c_1001_5^2 + 513/533*c_1001_5 + 20/41, c_0101_0 + 30/533*c_1001_5^5 + 186/533*c_1001_5^4 + 346/533*c_1001_5^3 + 75/533*c_1001_5^2 + 405/533*c_1001_5 + 46/41, c_0101_6 - 1, c_1001_1 + 23/533*c_1001_5^5 + 36/533*c_1001_5^4 - 19/533*c_1001_5^3 - 209/533*c_1001_5^2 + 44/533*c_1001_5 - 3/41, c_1001_5^6 + 4*c_1001_5^5 + 5*c_1001_5^4 + 2*c_1001_5^3 + 8*c_1001_5^2 + 8*c_1001_5 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB