Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 1065263680] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3003 geometric_solution 6.18058622 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.283227896267 1.677482866072 0 3 4 2 0132 0132 0132 2031 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 -1 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 0.079244781241 0.564136047764 5 1 0 3 0132 1302 0132 2310 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 -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 0.079244781241 0.564136047764 2 1 4 6 3201 0132 3012 0132 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 0 0 0 0 0 0 0 -0.009911841825 0.690726326580 6 3 5 1 3012 1230 2031 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 -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 0.707822762037 1.521426648100 2 6 6 4 0132 3012 2310 1302 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 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 0.040467568063 0.792795843819 5 5 3 4 1230 3201 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935782367179 1.258080849375 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : 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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_1'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : 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_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0011_2'], '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_6, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3/5*c_0101_6^2 - 3/5*c_0101_6 - 2, c_0011_0 - 1, c_0011_2 + c_0101_6 + 1, c_0011_6 - c_0101_6^2 - c_0101_6 - 2, c_0101_0 + c_0101_6^2 + c_0101_6 + 3, c_0101_1 + 1, c_0101_3 - c_0101_6^2 - c_0101_6 - 2, c_0101_6^4 + 2*c_0101_6^3 + 6*c_0101_6^2 + 5*c_0101_6 + 5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 7486719879/61746974*c_0101_6^14 + 44866594911/123493948*c_0101_6^13 - 375502685735/987951584*c_0101_6^12 + 313261868961/987951584*c_0101_6^11 + 118934891663/987951584*c_0101_6^10 - 199633725745/493975792*c_0101_6^9 + 945026758947/987951584*c_0101_6^8 - 138668319765/246987896*c_0101_6^7 + 409015204657/493975792*c_0101_6^6 - 44193461573/493975792*c_0101_6^5 + 317634932141/987951584*c_0101_6^4 + 141714312247/987951584*c_0101_6^3 + 85380339319/987951584*c_0101_6^2 + 1822776244/30873487*c_0101_6 + 14008552655/987951584, c_0011_0 - 1, c_0011_2 - c_0101_6, c_0011_6 - 3103487581/123493948*c_0101_6^14 + 36873855867/493975792*c_0101_6^13 - 27289156043/246987896*c_0101_6^12 + 2842877531/30873487*c_0101_6^11 - 9517236497/493975792*c_0101_6^10 - 41535202105/493975792*c_0101_6^9 + 88791939921/493975792*c_0101_6^8 - 50693640799/246987896*c_0101_6^7 + 25369095229/123493948*c_0101_6^6 - 66824280127/493975792*c_0101_6^5 + 2883507036/30873487*c_0101_6^4 - 8991389335/246987896*c_0101_6^3 + 9424794541/493975792*c_0101_6^2 - 1568386743/493975792*c_0101_6 + 711507705/493975792, c_0101_0 - 4735974325/61746974*c_0101_6^14 + 27349835271/246987896*c_0101_6^13 - 29777860781/246987896*c_0101_6^12 - 594696601/61746974*c_0101_6^11 + 6047480961/123493948*c_0101_6^10 - 27828539143/123493948*c_0101_6^9 + 38888530857/246987896*c_0101_6^8 - 26239523697/123493948*c_0101_6^7 + 10409003943/123493948*c_0101_6^6 - 22267072151/246987896*c_0101_6^5 + 4784697901/246987896*c_0101_6^4 - 558392505/30873487*c_0101_6^3 + 364346861/123493948*c_0101_6^2 - 109112099/61746974*c_0101_6 - 105106583/246987896, c_0101_1 - 124596553/30873487*c_0101_6^14 + 3500505167/123493948*c_0101_6^13 - 2731715355/61746974*c_0101_6^12 + 1592212788/30873487*c_0101_6^11 - 759606777/123493948*c_0101_6^10 - 3051562281/123493948*c_0101_6^9 + 10741766119/123493948*c_0101_6^8 - 2157189675/30873487*c_0101_6^7 + 5878544429/61746974*c_0101_6^6 - 4904000119/123493948*c_0101_6^5 + 1489536210/30873487*c_0101_6^4 - 291253944/30873487*c_0101_6^3 + 1808727123/123493948*c_0101_6^2 - 92996403/123493948*c_0101_6 + 264899443/123493948, c_0101_3 - 869649161/61746974*c_0101_6^14 + 11201417655/246987896*c_0101_6^13 - 4414846499/61746974*c_0101_6^12 + 1774351835/30873487*c_0101_6^11 - 3060159515/246987896*c_0101_6^10 - 14099170775/246987896*c_0101_6^9 + 27524466169/246987896*c_0101_6^8 - 16444061551/123493948*c_0101_6^7 + 7047917115/61746974*c_0101_6^6 - 21357143031/246987896*c_0101_6^5 + 5962460889/123493948*c_0101_6^4 - 3492736853/123493948*c_0101_6^3 + 2286202027/246987896*c_0101_6^2 - 1108079353/246987896*c_0101_6 + 172520089/246987896, c_0101_6^15 - 91/68*c_0101_6^14 + 137/68*c_0101_6^13 - 1/2*c_0101_6^12 + 21/68*c_0101_6^11 + 50/17*c_0101_6^10 - 69/34*c_0101_6^9 + 295/68*c_0101_6^8 - 65/34*c_0101_6^7 + 191/68*c_0101_6^6 - 47/68*c_0101_6^5 + 33/34*c_0101_6^4 - 7/68*c_0101_6^3 + 3/17*c_0101_6^2 + 1/68 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB