Magma V2.19-8 Tue Aug 20 2013 23:49:19 on localhost [Seed = 1764688873] Type ? for help. Type -D to quit. Loading file "L12n1657__sl2_c4.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' : 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' : negation(d['1']), 's_0_1' : negation(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' : 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: 7 Groebner basis: [ t + 5671069559/6739571700*c_1001_5^6 + 1972403267/673957170*c_1001_5^5 - 1362567173/374420650*c_1001_5^4 - 17021274449/1347914340*c_1001_5^3 + 84633551909/3369785850*c_1001_5^2 - 67896797393/1684892925*c_1001_5 + 76245684391/2246523900, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 413/5399*c_1001_5^6 + 2120/5399*c_1001_5^5 + 1626/5399*c_1001_5^4 - 3077/5399*c_1001_5^3 + 7776/5399*c_1001_5^2 - 11816/5399*c_1001_5 - 3945/5399, c_0011_4 + 4274/5399*c_1001_5^6 + 18488/5399*c_1001_5^5 - 978/5399*c_1001_5^4 - 55805/5399*c_1001_5^3 + 87086/5399*c_1001_5^2 - 150739/5399*c_1001_5 + 60945/5399, c_0101_0 - 1, c_0101_10 + 413/10798*c_1001_5^6 + 1060/5399*c_1001_5^5 + 813/5399*c_1001_5^4 - 3077/10798*c_1001_5^3 + 3888/5399*c_1001_5^2 - 5908/5399*c_1001_5 - 3945/10798, c_0101_2 + 2008/5399*c_1001_5^6 + 8974/5399*c_1001_5^5 + 781/5399*c_1001_5^4 - 26059/5399*c_1001_5^3 + 37663/5399*c_1001_5^2 - 65868/5399*c_1001_5 + 20508/5399, c_0101_3 - 992/5399*c_1001_5^6 - 4713/5399*c_1001_5^5 - 1827/5399*c_1001_5^4 + 12293/5399*c_1001_5^3 - 14455/5399*c_1001_5^2 + 25270/5399*c_1001_5 - 5937/5399, c_0101_5 + 2987/5399*c_1001_5^6 + 13032/5399*c_1001_5^5 - 110/5399*c_1001_5^4 - 38229/5399*c_1001_5^3 + 57050/5399*c_1001_5^2 - 106231/5399*c_1001_5 + 50113/5399, c_0110_2 - 2008/5399*c_1001_5^6 - 8974/5399*c_1001_5^5 - 781/5399*c_1001_5^4 + 26059/5399*c_1001_5^3 - 37663/5399*c_1001_5^2 + 65868/5399*c_1001_5 - 25907/5399, c_1001_1 - 2008/5399*c_1001_5^6 - 8974/5399*c_1001_5^5 - 781/5399*c_1001_5^4 + 26059/5399*c_1001_5^3 - 37663/5399*c_1001_5^2 + 65868/5399*c_1001_5 - 20508/5399, c_1001_5^7 + 3*c_1001_5^6 - 6*c_1001_5^5 - 13*c_1001_5^4 + 37*c_1001_5^3 - 62*c_1001_5^2 + 63*c_1001_5 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB