Magma V2.19-8 Wed Aug 21 2013 01:07:37 on localhost [Seed = 4105367022] Type ? for help. Type -D to quit. Loading file "L14n33505__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33505 geometric_solution 11.58100253 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 0 -1 1 0 0 0 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 0.477222034250 0.760051531831 0 4 6 5 0132 0132 0132 0132 1 1 1 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 -8 8 0 0 0 0 -1 1 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516112973587 0.274384561392 0 0 8 7 3012 0132 0132 0132 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 -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 0.614328134603 0.893153633746 5 6 9 0 0132 3201 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 -1 1 0 0 0 0 -9 8 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605781556177 0.745462961258 6 1 9 10 0321 0132 3201 0132 1 1 0 1 0 0 1 -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 0 -9 9 0 0 0 0 3 -3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577501564020 0.562760884453 3 10 1 9 0132 2310 0132 3201 1 1 1 1 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 8 -8 0 0 0 0 0 -1 0 0 1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.384240603889 0.820129326143 4 11 3 1 0321 0132 2310 0132 1 1 0 1 0 0 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 -8 8 -1 0 1 0 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397132006389 0.604907601021 12 11 2 12 0132 2310 0132 1302 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 0.234210742062 0.776913032446 10 11 12 2 1230 1230 3012 0132 1 1 0 1 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 -8 0 9 -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 0.282592298750 0.538665468758 4 5 12 3 2310 2310 1230 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 -1 0 1 0 0 0 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143321483896 0.964486339796 11 8 4 5 0213 3012 0132 3201 1 1 1 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 -9 9 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 0.962067049727 0.732591325023 10 6 8 7 0213 0132 3012 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.801244202558 0.841058757601 7 8 7 9 0132 1230 2031 3012 1 1 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 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217700295297 0.685602791684 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : negation(d['c_0101_8']), '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0110_10']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0011_10'], 's_3_1' : 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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_10']), '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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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_0110_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_12, c_0101_3, c_0101_7, c_0101_8, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 78277279744/65095765*c_1001_0^5 - 135255441408/65095765*c_1001_0^4 - 20893478912/65095765*c_1001_0^3 + 33889165312/65095765*c_1001_0^2 - 70820180992/65095765*c_1001_0 - 94770049536/65095765, c_0011_0 - 1, c_0011_10 - 528/167*c_1001_0^5 - 640/167*c_1001_0^4 - 44/167*c_1001_0^3 + 278/167*c_1001_0^2 - 496/167*c_1001_0 - 434/167, c_0011_11 - 672/167*c_1001_0^5 - 936/167*c_1001_0^4 - 56/167*c_1001_0^3 + 202/167*c_1001_0^2 - 525/167*c_1001_0 - 522/167, c_0011_12 - 816/167*c_1001_0^5 - 1232/167*c_1001_0^4 - 68/167*c_1001_0^3 + 460/167*c_1001_0^2 - 721/167*c_1001_0 - 1387/334, c_0011_3 - 1/2, c_0011_8 - 672/167*c_1001_0^5 - 936/167*c_1001_0^4 - 56/167*c_1001_0^3 + 202/167*c_1001_0^2 - 525/167*c_1001_0 - 355/167, c_0101_0 - 1, c_0101_12 - 384/167*c_1001_0^5 - 344/167*c_1001_0^4 - 32/167*c_1001_0^3 + 20/167*c_1001_0^2 - 300/167*c_1001_0 - 525/334, c_0101_3 - 672/167*c_1001_0^5 - 936/167*c_1001_0^4 - 56/167*c_1001_0^3 + 202/167*c_1001_0^2 - 525/167*c_1001_0 - 1211/334, c_0101_7 + 528/167*c_1001_0^5 + 640/167*c_1001_0^4 + 44/167*c_1001_0^3 - 278/167*c_1001_0^2 + 329/167*c_1001_0 + 434/167, c_0101_8 + 672/167*c_1001_0^5 + 936/167*c_1001_0^4 + 56/167*c_1001_0^3 - 202/167*c_1001_0^2 + 525/167*c_1001_0 + 877/334, c_0110_10 - 672/167*c_1001_0^5 - 936/167*c_1001_0^4 - 56/167*c_1001_0^3 + 202/167*c_1001_0^2 - 692/167*c_1001_0 - 1211/334, c_1001_0^6 + 2*c_1001_0^5 + c_1001_0^4 - 1/4*c_1001_0^3 + 11/16*c_1001_0^2 + 23/16*c_1001_0 + 37/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.620 seconds, Total memory usage: 32.09MB