Magma V2.19-8 Tue Aug 20 2013 16:17:46 on localhost [Seed = 1713896069] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2001 geometric_solution 5.55993266 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 -1 0 0 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 0.414773733717 1.349471049556 0 4 3 2 0132 0132 3012 3012 0 0 0 0 0 0 0 0 0 0 0 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 0 -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 0.365763956786 0.311367456591 0 0 1 4 3201 0132 1230 0132 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270492037817 0.623726574146 5 1 4 0 0132 1230 3201 0132 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 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 0.545460069068 1.467602688481 3 1 2 5 2310 0132 0132 1302 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 0 0.777488963860 0.598683227930 3 6 4 6 0132 0132 2031 1023 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 0 0.485907773364 0.405290469935 6 5 6 5 2031 0132 1302 1023 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 0 0.554242231079 0.083269789648 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : 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' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 86/19*c_0110_6^3 + 478/19*c_0110_6^2 - 3129/95*c_0110_6 + 3627/95, c_0011_0 - 1, c_0011_3 + 20/19*c_0110_6^3 - 25/19*c_0110_6^2 + 28/19*c_0110_6 - 3/19, c_0101_0 + 20/19*c_0110_6^3 - 25/19*c_0110_6^2 + 28/19*c_0110_6 - 3/19, c_0101_1 - 20/19*c_0110_6^3 + 25/19*c_0110_6^2 - 47/19*c_0110_6 + 3/19, c_0101_3 + c_0110_6, c_0101_4 + 20/19*c_0110_6^3 - 25/19*c_0110_6^2 + 28/19*c_0110_6 + 16/19, c_0110_6^4 - c_0110_6^3 + 9/5*c_0110_6^2 + 1/5*c_0110_6 + 1/5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 84799/3126056*c_0110_6^8 + 205449/3126056*c_0110_6^7 + 397293/3126056*c_0110_6^6 + 901677/3126056*c_0110_6^5 + 1803055/3126056*c_0110_6^4 - 384799/3126056*c_0110_6^3 - 675183/1563028*c_0110_6^2 - 762181/1563028*c_0110_6 - 307466/390757, c_0011_0 - 1, c_0011_3 - 3177/42244*c_0110_6^8 - 2470/10561*c_0110_6^7 - 11481/21122*c_0110_6^6 - 54601/42244*c_0110_6^5 - 29296/10561*c_0110_6^4 - 24062/10561*c_0110_6^3 - 18845/10561*c_0110_6^2 - 7349/10561*c_0110_6 + 3130/10561, c_0101_0 + 2071/21122*c_0110_6^8 + 2705/10561*c_0110_6^7 + 6447/10561*c_0110_6^6 + 28519/21122*c_0110_6^5 + 31955/10561*c_0110_6^4 + 15491/10561*c_0110_6^3 + 17196/10561*c_0110_6^2 + 74/10561*c_0110_6 + 11922/10561, c_0101_1 + 349/42244*c_0110_6^8 + 723/42244*c_0110_6^7 + 3769/42244*c_0110_6^6 + 4583/21122*c_0110_6^5 + 5000/10561*c_0110_6^4 + 6137/10561*c_0110_6^3 + 17910/10561*c_0110_6^2 + 3224/10561*c_0110_6 + 4207/10561, c_0101_3 - 1423/42244*c_0110_6^8 - 4031/21122*c_0110_6^7 - 10029/21122*c_0110_6^6 - 44787/42244*c_0110_6^5 - 48127/21122*c_0110_6^4 - 35493/10561*c_0110_6^3 - 15046/10561*c_0110_6^2 - 9847/10561*c_0110_6 + 5996/10561, c_0101_4 - 1, c_0110_6^9 + 3*c_0110_6^8 + 7*c_0110_6^7 + 16*c_0110_6^6 + 34*c_0110_6^5 + 24*c_0110_6^4 + 16*c_0110_6^3 - 8*c_0110_6 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB