Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 4054871329] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1208 geometric_solution 5.10153774 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.904888648429 0.264281031999 0 0 3 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.948397994358 0.605636602386 4 3 1 5 0132 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.843731285081 0.357233522950 2 4 6 1 1302 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.843731285081 0.357233522950 2 5 6 3 0132 2103 2103 3201 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 1 -1 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 0.535526209898 0.611198174755 6 4 2 6 2103 2103 0132 0321 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 -1 0 0 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 1.233499740084 0.706994936019 4 5 5 3 2103 0321 2103 0132 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 -1 1 -1 0 1 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 1.233499740084 0.706994936019 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : 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_0_6' : 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_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0011_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 359486891/99725524*c_1001_3^11 - 1588421287/49862762*c_1001_3^10 + 4159846285/49862762*c_1001_3^9 - 23850681821/99725524*c_1001_3^8 + 30213190301/99725524*c_1001_3^7 - 28967859111/49862762*c_1001_3^6 + 42244476191/49862762*c_1001_3^5 + 15988905642/24931381*c_1001_3^4 - 56845756149/49862762*c_1001_3^3 - 58263590347/99725524*c_1001_3^2 + 27019340401/49862762*c_1001_3 + 19159573087/99725524, c_0011_0 - 1, c_0011_2 - 4179879/24931381*c_1001_3^11 + 8849626/24931381*c_1001_3^10 - 36456271/24931381*c_1001_3^9 + 40322920/24931381*c_1001_3^8 - 88091114/24931381*c_1001_3^7 + 160147782/24931381*c_1001_3^6 + 53666926/24931381*c_1001_3^5 - 167788483/24931381*c_1001_3^4 - 73504825/24931381*c_1001_3^3 + 83152367/24931381*c_1001_3^2 + 47641725/24931381*c_1001_3 - 2649648/24931381, c_0011_5 - 50817/24931381*c_1001_3^11 - 2242446/24931381*c_1001_3^10 + 845694/24931381*c_1001_3^9 - 13300047/24931381*c_1001_3^8 - 10000379/24931381*c_1001_3^7 - 17791816/24931381*c_1001_3^6 + 9385463/24931381*c_1001_3^5 + 162049679/24931381*c_1001_3^4 - 28045860/24931381*c_1001_3^3 - 108553550/24931381*c_1001_3^2 - 612525/24931381*c_1001_3 + 12269507/24931381, c_0101_0 - 4562347/24931381*c_1001_3^11 + 9897583/24931381*c_1001_3^10 - 41789387/24931381*c_1001_3^9 + 49639271/24931381*c_1001_3^8 - 111015446/24931381*c_1001_3^7 + 196675653/24931381*c_1001_3^6 + 23080646/24931381*c_1001_3^5 - 120864936/24931381*c_1001_3^4 - 45035983/24931381*c_1001_3^3 + 13882397/24931381*c_1001_3^2 + 2205923/24931381*c_1001_3 + 16242499/24931381, c_0101_1 + 489868/24931381*c_1001_3^11 - 3017239/24931381*c_1001_3^10 + 6883888/24931381*c_1001_3^9 - 21213050/24931381*c_1001_3^8 + 18031896/24931381*c_1001_3^7 - 63369686/24931381*c_1001_3^6 + 37025588/24931381*c_1001_3^5 + 64431182/24931381*c_1001_3^4 - 12984850/24931381*c_1001_3^3 + 9874921/24931381*c_1001_3^2 - 2649648/24931381*c_1001_3 - 20751502/24931381, c_0101_4 - c_1001_3, c_1001_3^12 - 2*c_1001_3^11 + 8*c_1001_3^10 - 8*c_1001_3^9 + 16*c_1001_3^8 - 34*c_1001_3^7 - 28*c_1001_3^6 + 49*c_1001_3^5 + 33*c_1001_3^4 - 23*c_1001_3^3 - 15*c_1001_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB