Magma V2.19-8 Tue Aug 20 2013 23:53:06 on localhost [Seed = 3120550470] Type ? for help. Type -D to quit. Loading file "L13n4697__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4697 geometric_solution 10.58956603 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 -4 1 3 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 0.455001793271 1.125163739761 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741351080980 0.811161013677 8 0 3 9 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 -1 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856725976397 1.516378435758 6 2 7 0 0132 1230 3120 0132 1 1 0 1 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 0 -1 -1 0 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543406724379 0.498904175272 10 7 0 9 0132 0132 0132 0213 1 1 1 0 0 1 -1 0 -1 0 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 3 -3 0 -3 0 0 3 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391832778096 1.045922273591 11 1 11 6 0132 0132 1023 2031 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 0 0.345388646495 0.317715298362 3 5 1 10 0132 1302 0132 1302 1 1 1 0 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 -3 3 1 0 0 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.470031231215 0.319144996429 8 4 3 1 2031 0132 3120 0132 1 1 0 1 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 -3 0 3 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685902146436 0.838423836633 2 11 7 9 0132 0132 1302 2031 1 1 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 -1 1 0 0 0 0 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455001793271 1.125163739761 10 8 2 4 1302 1302 0132 0213 1 1 1 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 0 0 0 1 0 -1 0 4 -1 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001450799843 0.916772544070 4 9 6 11 0132 2031 2031 1023 1 1 0 1 0 -1 1 0 1 0 -1 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 -4 4 0 3 0 -3 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 -0.229818099835 1.585145173429 5 8 5 10 0132 0132 1023 1023 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216989615230 0.724013687583 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_1'], 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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_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' : negation(d['1']), 's_0_5' : negation(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_1100_9' : negation(d['c_1001_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_6']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1010_6'], 'c_1100_10' : negation(d['c_1010_6']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_9'], 'c_0110_10' : d['c_0101_1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_1001_3, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 325007/1172*c_1010_6^5 + 21366189/2344*c_1010_6^4 + 27587083/1172*c_1010_6^3 - 1064387/293*c_1010_6^2 - 4254177/293*c_1010_6 - 3498805/2344, c_0011_0 - 1, c_0011_10 + 203/586*c_1010_6^5 + 3408/293*c_1010_6^4 + 22067/586*c_1010_6^3 + 6863/293*c_1010_6^2 + 827/293*c_1010_6 + 197/293, c_0011_3 - 6/293*c_1010_6^5 - 439/586*c_1010_6^4 - 1244/293*c_1010_6^3 - 3815/586*c_1010_6^2 - 46/293*c_1010_6 + 163/293, c_0011_9 + 57/586*c_1010_6^5 + 1006/293*c_1010_6^4 + 4737/293*c_1010_6^3 + 6973/293*c_1010_6^2 + 5711/586*c_1010_6 + 471/293, c_0101_0 - 1, c_0101_1 - 389/1172*c_1010_6^5 - 13181/1172*c_1010_6^4 - 23137/586*c_1010_6^3 - 19069/586*c_1010_6^2 - 6889/1172*c_1010_6 - 1201/1172, c_0101_10 + 6/293*c_1010_6^5 + 439/586*c_1010_6^4 + 1244/293*c_1010_6^3 + 3815/586*c_1010_6^2 + 339/293*c_1010_6 + 130/293, c_0101_11 - 199/586*c_1010_6^5 - 13437/1172*c_1010_6^4 - 11449/293*c_1010_6^3 - 9206/293*c_1010_6^2 - 5823/586*c_1010_6 - 1103/1172, c_0101_2 - 191/586*c_1010_6^5 - 6377/586*c_1010_6^4 - 19579/586*c_1010_6^3 - 9911/586*c_1010_6^2 - 781/293*c_1010_6 - 360/293, c_0101_7 + 427/586*c_1010_6^5 + 14327/586*c_1010_6^4 + 23072/293*c_1010_6^3 + 29953/586*c_1010_6^2 + 8157/586*c_1010_6 + 768/293, c_1001_3 - 81/1172*c_1010_6^5 - 1445/586*c_1010_6^4 - 7225/586*c_1010_6^3 - 5394/293*c_1010_6^2 - 5309/1172*c_1010_6 - 731/586, c_1010_6^6 + 34*c_1010_6^5 + 123*c_1010_6^4 + 116*c_1010_6^3 + 43*c_1010_6^2 + 10*c_1010_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB