Magma V2.19-8 Tue Aug 20 2013 23:49:19 on localhost [Seed = 1595487711] Type ? for help. Type -D to quit. Loading file "L12n1657__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1657 geometric_solution 11.07964311 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 2 0132 0132 2031 1230 1 1 2 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 0 0 0 1 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 0 0.568331462233 1.094190044941 0 3 4 0 0132 0132 0132 1302 1 1 1 2 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 0 1 -1 0 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 0.626159825286 0.719742306653 0 0 5 4 3012 0132 0132 1302 1 1 1 2 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 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 0.311991752259 0.790834261843 4 1 6 7 0321 0132 0132 0132 1 1 2 1 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 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 0.683378962981 0.440835674516 3 6 2 1 0321 0132 2031 0132 1 1 2 1 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 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 0.382088506490 1.547081039503 8 9 7 2 0132 0132 1230 0132 1 1 2 1 0 1 0 -1 0 0 -1 1 -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 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 0.190941036992 1.173564112067 7 4 10 3 0213 0132 0132 0132 1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.056645055733 0.905803033481 6 11 3 5 0213 0132 0132 3012 1 1 1 2 0 -1 0 1 0 0 0 0 0 -1 0 1 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.243143104005 0.934132537008 5 10 9 11 0132 3012 1023 1302 0 1 1 2 0 -1 1 0 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 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 0.432468160275 0.415065010496 11 5 8 10 0132 0132 1023 1302 1 0 1 2 0 -1 0 1 0 0 -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 -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 0.796384844337 1.155179925618 8 11 9 6 1230 0321 2031 0132 1 1 2 0 0 0 0 0 1 0 -1 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 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 0.147986907784 0.839581437685 9 7 8 10 0132 0132 2031 0321 1 0 2 1 0 1 -1 0 0 0 0 0 -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 1 -1 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 0.432468160275 0.415065010496 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : 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_0101_10'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1001_5']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_5'], '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' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_2'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_2, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1296283/8276814*c_1001_5^5 - 47612/1379469*c_1001_5^4 + 4404314/4138407*c_1001_5^3 - 12344/19071*c_1001_5^2 - 13000453/1379469*c_1001_5 - 33914143/4138407, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 56/1467*c_1001_5^5 + 32/489*c_1001_5^4 + 218/1467*c_1001_5^3 - 1166/1467*c_1001_5^2 - 176/163*c_1001_5 + 1052/1467, c_0011_4 + 40/1467*c_1001_5^5 - 22/1467*c_1001_5^4 - 179/1467*c_1001_5^3 + 274/1467*c_1001_5^2 + 689/1467*c_1001_5 + 343/1467, c_0101_0 - 1, c_0101_10 + 28/1467*c_1001_5^5 - 16/489*c_1001_5^4 - 109/1467*c_1001_5^3 + 583/1467*c_1001_5^2 + 88/163*c_1001_5 - 526/1467, c_0101_2 + 2/163*c_1001_5^5 + 13/489*c_1001_5^4 - 35/489*c_1001_5^3 - 73/489*c_1001_5^2 + 356/489*c_1001_5 + 172/163, c_0101_3 - 3/163*c_1001_5^5 + 23/1467*c_1001_5^4 + 239/1467*c_1001_5^3 - 45/163*c_1001_5^2 - 2254/1467*c_1001_5 - 1507/1467, c_0101_5 - 8/489*c_1001_5^5 - 52/1467*c_1001_5^4 + 140/1467*c_1001_5^3 - 40/163*c_1001_5^2 - 283/1467*c_1001_5 - 2716/1467, c_0110_2 + 2/163*c_1001_5^5 + 13/489*c_1001_5^4 - 35/489*c_1001_5^3 - 73/489*c_1001_5^2 + 356/489*c_1001_5 + 9/163, c_1001_1 - 2/163*c_1001_5^5 - 13/489*c_1001_5^4 + 35/489*c_1001_5^3 + 73/489*c_1001_5^2 - 356/489*c_1001_5 - 172/163, c_1001_5^6 - 6*c_1001_5^4 + 5*c_1001_5^3 + 54*c_1001_5^2 + 48*c_1001_5 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB