Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 2261195354] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1794 geometric_solution 5.46730129 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660952066504 0.616801436822 0 5 5 2 0132 0132 1023 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577820256151 0.075841516083 4 0 1 3 1230 0132 1230 1230 0 0 0 0 0 0 0 0 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 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 0.684395710794 1.245063650498 2 3 3 0 3012 3201 2310 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746290246745 0.586178836396 4 2 0 4 3012 3012 0132 1230 0 0 0 0 0 0 1 -1 1 0 0 -1 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 1 0 -1 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302023783034 1.041058814337 6 1 1 6 0132 0132 1023 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 0.889113205781 0.465562038115 5 6 6 5 0132 3201 2310 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 1.191982447508 0.333969230695 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_0']), '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_1'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0011_0'], '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_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 237664605/112607*c_0101_6^17 + 128922337/112607*c_0101_6^16 - 3253664413/112607*c_0101_6^15 - 1290036868/112607*c_0101_6^14 + 18499762825/112607*c_0101_6^13 + 4344215868/112607*c_0101_6^12 - 57957170482/112607*c_0101_6^11 - 5651889481/112607*c_0101_6^10 + 99909374404/112607*c_0101_6^9 - 9018822096/112607*c_0101_6^8 - 91891561500/112607*c_0101_6^7 + 777034366/3883*c_0101_6^6 + 43316726842/112607*c_0101_6^5 - 15148880389/112607*c_0101_6^4 - 9951306267/112607*c_0101_6^3 + 4182793680/112607*c_0101_6^2 + 896117576/112607*c_0101_6 - 412116928/112607, c_0011_0 - 1, c_0011_3 + 25374/353*c_0101_6^17 + 11196/353*c_0101_6^16 - 351776/353*c_0101_6^15 - 104633/353*c_0101_6^14 + 2029247/353*c_0101_6^13 + 285774/353*c_0101_6^12 - 6456218/353*c_0101_6^11 - 62293/353*c_0101_6^10 + 11395609/353*c_0101_6^9 - 1876085/353*c_0101_6^8 - 10789982/353*c_0101_6^7 + 3341311/353*c_0101_6^6 + 5267772/353*c_0101_6^5 - 2169864/353*c_0101_6^4 - 1246194/353*c_0101_6^3 + 608359/353*c_0101_6^2 + 113310/353*c_0101_6 - 62421/353, c_0101_0 - 148*c_0101_6^17 - 50*c_0101_6^16 + 2055*c_0101_6^15 + 400*c_0101_6^14 - 11851*c_0101_6^13 - 476*c_0101_6^12 + 37569*c_0101_6^11 - 3300*c_0101_6^10 - 65776*c_0101_6^9 + 17005*c_0101_6^8 + 60846*c_0101_6^7 - 24433*c_0101_6^6 - 28471*c_0101_6^5 + 14469*c_0101_6^4 + 6375*c_0101_6^3 - 3826*c_0101_6^2 - 544*c_0101_6 + 377, c_0101_1 + 19*c_0101_6^17 + 4*c_0101_6^16 - 265*c_0101_6^15 - 18*c_0101_6^14 + 1533*c_0101_6^13 - 130*c_0101_6^12 - 4860*c_0101_6^11 + 1027*c_0101_6^10 + 8484*c_0101_6^9 - 3235*c_0101_6^8 - 7703*c_0101_6^7 + 4115*c_0101_6^6 + 3429*c_0101_6^5 - 2324*c_0101_6^4 - 685*c_0101_6^3 + 599*c_0101_6^2 + 45*c_0101_6 - 58, c_0101_3 + 14465/353*c_0101_6^17 + 12067/353*c_0101_6^16 - 196993/353*c_0101_6^15 - 135546/353*c_0101_6^14 + 1120696/353*c_0101_6^13 + 580504/353*c_0101_6^12 - 3551420/353*c_0101_6^11 - 1289843/353*c_0101_6^10 + 6287295/353*c_0101_6^9 + 936967/353*c_0101_6^8 - 6236755/353*c_0101_6^7 + 289105/353*c_0101_6^6 + 3343170/353*c_0101_6^5 - 647649/353*c_0101_6^4 - 892387/353*c_0101_6^3 + 265365/353*c_0101_6^2 + 92788/353*c_0101_6 - 34280/353, c_0101_5 - c_0101_6^17 + 14*c_0101_6^15 - 2*c_0101_6^14 - 81*c_0101_6^13 + 24*c_0101_6^12 + 255*c_0101_6^11 - 109*c_0101_6^10 - 437*c_0101_6^9 + 268*c_0101_6^8 + 372*c_0101_6^7 - 309*c_0101_6^6 - 135*c_0101_6^5 + 167*c_0101_6^4 + 8*c_0101_6^3 - 42*c_0101_6^2 + 5*c_0101_6 + 4, c_0101_6^18 - 14*c_0101_6^16 + 2*c_0101_6^15 + 81*c_0101_6^14 - 24*c_0101_6^13 - 255*c_0101_6^12 + 109*c_0101_6^11 + 437*c_0101_6^10 - 268*c_0101_6^9 - 372*c_0101_6^8 + 309*c_0101_6^7 + 135*c_0101_6^6 - 167*c_0101_6^5 - 8*c_0101_6^4 + 42*c_0101_6^3 - 6*c_0101_6^2 - 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB