Magma V2.19-8 Wed Aug 21 2013 01:03:54 on localhost [Seed = 3785882063] Type ? for help. Type -D to quit. Loading file "L14n23784__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23784 geometric_solution 11.57022120 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 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 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.285624087801 1.567436581771 0 4 0 5 0132 0132 3012 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 1 -1 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687172241749 0.381400501693 5 4 6 0 0132 3201 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 0 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 -0.119896147483 0.370775164829 4 4 0 7 0132 1302 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567276094266 0.752175666522 3 1 2 3 0132 0132 2310 2031 1 1 0 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 0 0 1 -1 -2 1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574652643050 0.998881108895 2 8 1 9 0132 0132 0132 0132 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 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.320378969554 1.148749219663 10 11 7 2 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711058439453 0.974069304110 11 8 3 6 2310 3012 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.089184690851 1.110574693686 7 5 12 9 1230 0132 0132 0213 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 -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 0.497383582284 0.614842998212 10 12 5 8 2031 0132 0132 0213 1 1 1 1 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 -1 2 -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 0.383382663339 0.544456657411 6 11 9 12 0132 0321 1302 2310 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 0.887480401301 0.617480607202 12 6 7 10 2103 0132 3201 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 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 0.982599833400 0.766751497150 10 9 11 8 3201 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.044865720364 1.039180426931 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0011_2']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0101_8']), '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' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : 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' : 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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_1001_8'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_1001_0']), 's_3_1' : 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' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0011_12'], '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_0']), 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0101_11']), '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_12, c_0011_2, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0101_8, c_1001_0, c_1001_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 309840/7*c_1100_0^2 + 11749/7*c_1100_0 - 16546/7, c_0011_0 - 1, c_0011_10 + 6/7*c_1100_0^2 - 3/7*c_1100_0 - 2/7, c_0011_12 + 3/7*c_1100_0^2 - 5/7*c_1100_0 - 1/7, c_0011_2 - 2/7*c_1100_0^2 + 1/7*c_1100_0 + 3/7, c_0011_7 - 9/7*c_1100_0^2 + 8/7*c_1100_0 + 3/7, c_0101_0 - 1, c_0101_1 - 5/7*c_1100_0^2 + 13/7*c_1100_0 + 4/7, c_0101_11 + 3/7*c_1100_0^2 + 2/7*c_1100_0 - 1/7, c_0101_4 - 3/7*c_1100_0^2 + 5/7*c_1100_0 + 1/7, c_0101_8 - c_1100_0^2 + c_1100_0, c_1001_0 - 5/7*c_1100_0^2 + 6/7*c_1100_0 - 3/7, c_1001_8 + 2/7*c_1100_0^2 - 1/7*c_1100_0 - 3/7, c_1100_0^3 - 3/5*c_1100_0^2 - 2/5*c_1100_0 - 1/5 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_2, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0101_8, c_1001_0, c_1001_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1369675/116032*c_1100_0^3 - 4879625/116032*c_1100_0^2 - 1229887/29008*c_1100_0 - 3076691/116032, c_0011_0 - 1, c_0011_10 + 10/7*c_1100_0^3 + 18/7*c_1100_0^2 + 22/7*c_1100_0 + 13/7, c_0011_12 - 15/7*c_1100_0^3 - 20/7*c_1100_0^2 - 26/7*c_1100_0 - 9/7, c_0011_2 - 15/7*c_1100_0^3 - 20/7*c_1100_0^2 - 33/7*c_1100_0 - 9/7, c_0011_7 + 25/7*c_1100_0^3 + 31/7*c_1100_0^2 + 48/7*c_1100_0 + 22/7, c_0101_0 - 1, c_0101_1 + 20/7*c_1100_0^3 + 29/7*c_1100_0^2 + 51/7*c_1100_0 + 26/7, c_0101_11 + 5/7*c_1100_0^3 + 9/7*c_1100_0^2 + 11/7*c_1100_0 + 3/7, c_0101_4 + 5*c_1100_0^3 + 7*c_1100_0^2 + 11*c_1100_0 + 5, c_0101_8 - c_1100_0^2 - c_1100_0 - 1, c_1001_0 + 20/7*c_1100_0^3 + 29/7*c_1100_0^2 + 44/7*c_1100_0 + 19/7, c_1001_8 + 15/7*c_1100_0^3 + 20/7*c_1100_0^2 + 33/7*c_1100_0 + 16/7, c_1100_0^4 + 11/5*c_1100_0^3 + 16/5*c_1100_0^2 + 13/5*c_1100_0 + 4/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.960 Total time: 1.169 seconds, Total memory usage: 32.09MB