Magma V2.19-8 Tue Aug 20 2013 16:18:18 on localhost [Seed = 711702274] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2511 geometric_solution 5.83125487 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 -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 0.501088166353 0.710138164246 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -1 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 -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 0.875365533374 0.922546155763 1 3 0 5 1230 3201 0132 0132 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 1 -1 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 0.875365533374 0.922546155763 1 4 2 6 0132 2031 2310 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 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 1.601968663935 0.379097126668 3 5 6 1 1302 3012 2031 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 -1 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 0 0 0 0 0.121102824793 0.439862821127 4 6 2 6 1230 1023 0132 2031 0 0 0 0 0 -1 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.151363770785 1.051544337716 5 5 3 4 1023 1302 0132 1302 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 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 0.473542541230 0.432487968211 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : negation(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' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : negation(d['c_1010_6']), 'c_1100_4' : negation(d['c_1010_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_6']), 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_1010_6']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_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' : d['c_0011_4'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/20*c_1010_6 + 3/20, c_0011_0 - 1, c_0011_1 + c_1010_6 + 1, c_0011_4 + 2*c_1010_6 + 1, c_0011_5 + 2, c_0101_0 + c_1010_6, c_0101_1 + 2, c_1010_6^2 + c_1010_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 50*c_1010_6 - 325/4, c_0011_0 - 1, c_0011_1 - 2/5*c_1010_6 - 1/5, c_0011_4 + 3/5*c_1010_6 - 1/5, c_0011_5 + 2/5*c_1010_6 - 4/5, c_0101_0 + c_1010_6, c_0101_1 + 2/5*c_1010_6 - 4/5, c_1010_6^2 + c_1010_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 5508864670924887/254255607438016*c_1010_6^14 + 14859380206721429/63563901859504*c_1010_6^13 + 229735084984732393/254255607438016*c_1010_6^12 + 512139537018766477/254255607438016*c_1010_6^11 + 522195935134143867/127127803719008*c_1010_6^10 + 571518942748841509/127127803719008*c_1010_6^9 + 749040064631258331/254255607438016*c_1010_6^8 + 2384158780653442673/254255607438016*c_1010_6^7 - 729601409153193545/127127803719008*c_1010_6^6 + 3480905178818195495/254255607438016*c_1010_6^5 - 1821161020767330735/254255607438016*c_1010_6^4 + 180531956956214861/31781950929752*c_1010_6^3 - 373742681807942547/254255607438016*c_1010_6^2 + 130792679600576851/254255607438016*c_1010_6 - 2622032173790359/127127803719008, c_0011_0 - 1, c_0011_1 - 34591332703/1550339069744*c_1010_6^14 - 301862714907/775169534872*c_1010_6^13 - 4060010284181/1550339069744*c_1010_6^12 - 14219425495987/1550339069744*c_1010_6^11 - 4150925335475/193792383718*c_1010_6^10 - 30930752455065/775169534872*c_1010_6^9 - 73935017171703/1550339069744*c_1010_6^8 - 66213375065691/1550339069744*c_1010_6^7 - 6054493012058/96896191859*c_1010_6^6 - 6389816105567/1550339069744*c_1010_6^5 - 88105077308347/1550339069744*c_1010_6^4 - 2381295101249/775169534872*c_1010_6^3 - 15633512459705/1550339069744*c_1010_6^2 - 5335978979609/1550339069744*c_1010_6 - 113493762483/193792383718, c_0011_4 - c_1010_6, c_0011_5 + 127610047275/775169534872*c_1010_6^14 + 324912524337/193792383718*c_1010_6^13 + 4428517577999/775169534872*c_1010_6^12 + 7987068621255/775169534872*c_1010_6^11 + 1806369145551/96896191859*c_1010_6^10 + 1545044061471/193792383718*c_1010_6^9 - 9826901222949/775169534872*c_1010_6^8 + 33055234412543/775169534872*c_1010_6^7 - 36313029441947/387584767436*c_1010_6^6 + 79061631044647/775169534872*c_1010_6^5 - 74580212762127/775169534872*c_1010_6^4 + 14957379521349/387584767436*c_1010_6^3 - 15673059416079/775169534872*c_1010_6^2 + 1178144074769/775169534872*c_1010_6 - 420582589317/387584767436, c_0101_0 - 259201542361/387584767436*c_1010_6^14 - 5825646509451/775169534872*c_1010_6^13 - 3013133129088/96896191859*c_1010_6^12 - 57602399537511/775169534872*c_1010_6^11 - 118399138817931/775169534872*c_1010_6^10 - 36823997450287/193792383718*c_1010_6^9 - 13690495219775/96896191859*c_1010_6^8 - 241359287237821/775169534872*c_1010_6^7 + 50284040648561/775169534872*c_1010_6^6 - 125971031751117/387584767436*c_1010_6^5 + 40149355584279/775169534872*c_1010_6^4 - 60248704841875/775169534872*c_1010_6^3 - 1323143172805/193792383718*c_1010_6^2 - 2832700755067/775169534872*c_1010_6 - 845859872901/775169534872, c_0101_1 + 28927555191/387584767436*c_1010_6^14 + 519444704193/775169534872*c_1010_6^13 + 315659532925/193792383718*c_1010_6^12 + 812037375489/775169534872*c_1010_6^11 + 565848015845/775169534872*c_1010_6^10 - 1134960821136/96896191859*c_1010_6^9 - 2034758768100/96896191859*c_1010_6^8 + 9275018263931/775169534872*c_1010_6^7 - 60766771116019/775169534872*c_1010_6^6 + 28372385691871/387584767436*c_1010_6^5 - 75385576553085/775169534872*c_1010_6^4 + 33369376997661/775169534872*c_1010_6^3 - 4732828957177/193792383718*c_1010_6^2 + 1631126320221/775169534872*c_1010_6 - 797301830393/775169534872, c_1010_6^15 + 11*c_1010_6^14 + 44*c_1010_6^13 + 102*c_1010_6^12 + 210*c_1010_6^11 + 249*c_1010_6^10 + 183*c_1010_6^9 + 464*c_1010_6^8 - 172*c_1010_6^7 + 588*c_1010_6^6 - 210*c_1010_6^5 + 218*c_1010_6^4 - 32*c_1010_6^3 + 24*c_1010_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB