Magma V2.19-8 Wed Aug 21 2013 01:00:10 on localhost [Seed = 846473481] Type ? for help. Type -D to quit. Loading file "L13n8527__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n8527 geometric_solution 12.22891805 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 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 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 1 0 -1 0 0 -1 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 0.780128677267 1.021920759677 0 4 4 5 0132 0132 1302 0132 1 1 1 0 0 0 0 0 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 0 0 0 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 0.528030782218 0.618250752260 0 0 4 6 3012 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 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 -1 0 1 1 0 1 -2 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201224743790 0.935254950412 7 8 4 0 0132 0132 0321 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -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 -1 0 0 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159479050136 0.583590647875 1 1 3 2 2031 0132 0321 0132 1 1 0 1 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 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 0.201224743790 0.935254950412 7 6 1 9 2103 1023 0132 0132 1 1 1 1 0 -1 0 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 1 0 -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 1.035989876320 1.280828539813 5 10 2 8 1023 0132 0132 0213 1 1 1 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 1 -1 0 -1 0 2 -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 -0.021920759677 0.780128677267 3 11 5 8 0132 0132 2103 0132 1 1 1 1 0 0 0 0 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 0 0 0 0 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104557046221 0.810915297128 12 3 7 6 0132 0132 0132 0213 1 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 -1 0 1 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 0.104557046221 0.810915297128 10 12 5 12 2310 3201 0132 2103 1 1 2 1 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 1 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681915414007 0.550696699788 11 6 9 11 3120 0132 3201 0132 1 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 0 0 0 0 -1 1 0 -1 0 1 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 0.112407690301 0.716795874779 12 7 10 10 1023 0132 0132 3120 1 2 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786472460229 1.361611996916 8 11 9 9 0132 1023 2310 2103 2 1 1 1 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 1 0 -1 1 0 -1 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 0.786472460229 1.361611996916 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_12']), 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_0_11' : 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_0101_11'], 'c_0101_10' : d['c_0011_9'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_9']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_0101_12']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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_9'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], '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_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], '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_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_3'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} 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_9, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_6, c_0101_9, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 85811/128*c_1001_0^5 + 29047/128*c_1001_0^4 + 19857/64*c_1001_0^3 - 7237/64*c_1001_0^2 - 4683/128*c_1001_0 + 4447/128, c_0011_0 - 1, c_0011_10 - 87/4*c_1001_0^5 - c_1001_0^4 + 11/2*c_1001_0^3 - 2*c_1001_0^2 - 15/4*c_1001_0, c_0011_11 + 203/8*c_1001_0^5 - 5/4*c_1001_0^4 - 39/4*c_1001_0^3 + 23/4*c_1001_0^2 + 15/8*c_1001_0 - 1, c_0011_9 - 1, c_0101_0 - 1, c_0101_11 - 29/8*c_1001_0^4 - 5*c_1001_0^3 + 3/2*c_1001_0^2 + 2*c_1001_0 - 7/8, c_0101_12 - 87/4*c_1001_0^5 - c_1001_0^4 + 11/2*c_1001_0^3 - 2*c_1001_0^2 - 15/4*c_1001_0, c_0101_2 + 203/8*c_1001_0^5 - 39/8*c_1001_0^4 - 59/4*c_1001_0^3 + 29/4*c_1001_0^2 + 23/8*c_1001_0 - 15/8, c_0101_3 - c_1001_0, c_0101_6 + 203/8*c_1001_0^5 - 39/8*c_1001_0^4 - 59/4*c_1001_0^3 + 29/4*c_1001_0^2 + 31/8*c_1001_0 - 15/8, c_0101_9 + 29/4*c_1001_0^5 - 123/8*c_1001_0^4 - 7/4*c_1001_0^3 + 23/4*c_1001_0^2 - c_1001_0 - 15/8, c_1001_0^6 - 18/29*c_1001_0^5 - 5/29*c_1001_0^4 + 12/29*c_1001_0^3 - 1/29*c_1001_0^2 - 2/29*c_1001_0 + 1/29, c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB