Magma V2.19-8 Tue Aug 20 2013 16:16:10 on localhost [Seed = 2884253551] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0433 geometric_solution 4.48561524 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 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 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 2.411088212076 0.088187263012 0 2 2 0 0132 0132 3201 3201 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 -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 -0.955675535675 0.241865209141 1 1 3 3 2310 0132 0132 3201 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 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 0.382313201828 0.189034372845 4 2 5 2 0132 2310 0132 0132 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 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 0.812652135081 0.452169170900 3 6 5 5 0132 0132 3012 2310 0 0 0 0 0 0 -1 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 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 0.721212617134 1.117674664979 4 4 6 3 3201 1230 1023 0132 0 0 0 0 0 1 -1 0 0 0 0 0 -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 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 0.721212617134 1.117674664979 6 4 5 6 3012 0132 1023 1230 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 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 0.721212617134 1.117674664979 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : 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' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_3']), 'c_0011_6' : 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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3*c_0101_2*c_0101_3 + 29/4*c_0101_2, c_0011_0 - 1, c_0011_3 - 1, c_0011_5 - 1/2*c_0101_2*c_0101_3 - 1/2*c_0101_2, c_0101_0 - 1/2*c_0101_2*c_0101_3 - 1/2*c_0101_2, c_0101_1 + c_0101_3, c_0101_2^2 + 2*c_0101_3 - 2, c_0101_3^2 + 2*c_0101_3 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 6095120238/77674609*c_0101_2*c_0101_3^9 + 53192445243/77674609*c_0101_2*c_0101_3^8 + 156542129449/77674609*c_0101_2*c_0101_3^7 + 52259681440/77674609*c_0101_2*c_0101_3^6 - 198280182900/77674609*c_0101_2*c_0101_3^5 + 358708145312/77674609*c_0101_2*c_0101_3^4 + 268342993543/77674609*c_0101_2*c_0101_3^3 + 191261628128/77674609*c_0101_2*c_0101_3^2 - 11550704239/77674609*c_0101_2*c_0101_3 - 10111483836/77674609*c_0101_2, c_0011_0 - 1, c_0011_3 - 3450015/77674609*c_0101_3^9 - 31331191/77674609*c_0101_3^8 - 99529957/77674609*c_0101_3^7 - 61750706/77674609*c_0101_3^6 + 106441494/77674609*c_0101_3^5 - 134541420/77674609*c_0101_3^4 - 204560690/77674609*c_0101_3^3 - 179607277/77674609*c_0101_3^2 - 29110043/77674609*c_0101_3 + 52902248/77674609, c_0011_5 - 20784788/77674609*c_0101_2*c_0101_3^9 - 175181522/77674609*c_0101_2*c_0101_3^8 - 480663056/77674609*c_0101_2*c_0101_3^7 - 26816687/77674609*c_0101_2*c_0101_3^6 + 710782876/77674609*c_0101_2*c_0101_3^5 - 1414254190/77674609*c_0101_2*c_0101_3^4 - 527361518/77674609*c_0101_2*c_0101_3^3 - 500004613/77674609*c_0101_2*c_0101_3^2 + 265239170/77674609*c_0101_2*c_0101_3 + 48666469/77674609*c_0101_2, c_0101_0 - 206776236/77674609*c_0101_2*c_0101_3^9 - 1793688805/77674609*c_0101_2*c_0101_3^8 - 5209995841/77674609*c_0101_2*c_0101_3^7 - 1441659796/77674609*c_0101_2*c_0101_3^6 + 6978446284/77674609*c_0101_2*c_0101_3^5 - 12448690476/77674609*c_0101_2*c_0101_3^4 - 8635369618/77674609*c_0101_2*c_0101_3^3 - 5678989297/77674609*c_0101_2*c_0101_3^2 + 978909230/77674609*c_0101_2*c_0101_3 + 565067363/77674609*c_0101_2, c_0101_1 + 84220068/77674609*c_0101_3^9 + 732469408/77674609*c_0101_3^8 + 2138504317/77674609*c_0101_3^7 + 635834440/77674609*c_0101_3^6 - 2824907286/77674609*c_0101_3^5 + 5008365038/77674609*c_0101_3^4 + 3603389022/77674609*c_0101_3^3 + 2409894841/77674609*c_0101_3^2 - 307770842/77674609*c_0101_3 - 286544026/77674609, c_0101_2^2 + 29151826/77674609*c_0101_3^9 + 251949938/77674609*c_0101_3^8 + 727278803/77674609*c_0101_3^7 + 184884903/77674609*c_0101_3^6 - 979139099/77674609*c_0101_3^5 + 1788341788/77674609*c_0101_3^4 + 1191010286/77674609*c_0101_3^3 + 745703147/77674609*c_0101_3^2 - 117733674/77674609*c_0101_3 - 122896863/77674609, c_0101_3^10 + 9*c_0101_3^9 + 28*c_0101_3^8 + 15*c_0101_3^7 - 32*c_0101_3^6 + 49*c_0101_3^5 + 62*c_0101_3^4 + 40*c_0101_3^3 + 3*c_0101_3^2 - 5*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB