Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 3347471140] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0590 geometric_solution 4.60636270 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.809468217389 0.287887481934 0 2 2 0 3201 0132 3201 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 1 0 -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 -0.372212204154 0.176967409403 1 1 3 3 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.473849924420 1.474188322638 2 4 5 2 3201 0132 0132 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 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 0.603981652230 0.244437250895 5 3 6 5 2031 0132 0132 3201 0 0 0 0 0 0 -1 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 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 0.381827810098 0.753959015552 6 4 4 3 0132 2310 1302 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -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 0.381827810098 0.753959015552 5 6 6 4 0132 1230 3012 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 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 -0.087257790689 0.960926245736 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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_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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), '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' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), '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_3, c_0011_5, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 2*c_0101_2^2 - 5*c_0101_2 + 1, c_0011_0 - 1, c_0011_1 + c_0101_2, c_0011_3 + c_0101_2^2 - c_0101_2 - 1, c_0011_5 - c_0101_2^2 + 2*c_0101_2 + 1, c_0101_0 - c_0101_2^2 + c_0101_2 + 1, c_0101_2^3 - 2*c_0101_2^2 - c_0101_2 + 1, c_0110_4 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 163821107486/101825017*c_0110_4^14 - 5255860263253/305475051*c_0110_4^13 + 4870488699276/101825017*c_0110_4^12 - 14207431233217/305475051*c_0110_4^11 + 11379565407650/305475051*c_0110_4^10 - 11780905819894/101825017*c_0110_4^9 + 16219434299409/101825017*c_0110_4^8 - 643824851396/7450611*c_0110_4^7 + 4694443086965/305475051*c_0110_4^\ 6 - 500856809597/101825017*c_0110_4^5 - 13734913399666/305475051*c_0110_4^4 + 23818692274378/305475051*c_0110_4^3 - 3528196294849/305475051*c_0110_4^2 - 5998047009638/305475051*c_0110_4 + 536253353837/101825017, c_0011_0 - 1, c_0011_1 - 294524977/52154277*c_0110_4^14 + 3167089328/52154277*c_0110_4^13 - 2976279003/17384759*c_0110_4^12 + 8896120340/52154277*c_0110_4^11 - 6989437771/52154277*c_0110_4^10 + 7105734600/17384759*c_0110_4^9 - 4304794310/7450611*c_0110_4^8 + 2378253824/7450611*c_0110_4^7 - 2770722322/52154277*c_0110_4^6 + 546765071/52154277*c_0110_4^5 + 8359304600/52154277*c_0110_4^4 - 14919190924/52154277*c_0110_4^3 + 2605080197/52154277*c_0110_4^2 + 3875699347/52154277*c_0110_4 - 1077132233/52154277, c_0011_3 + 398297434/52154277*c_0110_4^14 - 1416554802/17384759*c_0110_4^13 + 3913546185/17384759*c_0110_4^12 - 3756129817/17384759*c_0110_4^11 + 3023210858/17384759*c_0110_4^10 - 9515880148/17384759*c_0110_4^9 + 5549113478/7450611*c_0110_4^8 - 141240844/354791*c_0110_4^7 + 1245190035/17384759*c_0110_4^6 - 1390192298/52154277*c_0110_4^5 - 3680561355/17384759*c_0110_4^4 + 18948661727/52154277*c_0110_4^3 - 835249531/17384759*c_0110_4^2 - 1573645128/17384759*c_0110_4 + 1185592937/52154277, c_0011_5 - 65693657/52154277*c_0110_4^14 + 239417056/17384759*c_0110_4^13 - 2118034306/52154277*c_0110_4^12 + 2337562639/52154277*c_0110_4^11 - 1925898719/52154277*c_0110_4^10 + 5113599601/52154277*c_0110_4^9 - 1096533953/7450611*c_0110_4^8 + 710481172/7450611*c_0110_4^7 - 1485820439/52154277*c_0110_4^6 + 586846355/52154277*c_0110_4^5 + 1575766460/52154277*c_0110_4^4 - 3462882202/52154277*c_0110_4^3 + 1046021344/52154277*c_0110_4^2 + 767599657/52154277*c_0110_4 - 281220442/52154277, c_0101_0 + 756229480/17384759*c_0110_4^14 - 24280434023/52154277*c_0110_4^13 + 67639179284/52154277*c_0110_4^12 - 22022098358/17384759*c_0110_4^11 + 52937596444/52154277*c_0110_4^10 - 54523820661/17384759*c_0110_4^9 + 32278048489/7450611*c_0110_4^8 - 839162311/354791*c_0110_4^7 + 22498930558/52154277*c_0110_4^6 - 2448504278/17384759*c_0110_4^5 - 63044244670/52154277*c_0110_4^4 + 36791804991/17384759*c_0110_4^3 - 16907924329/52154277*c_0110_4^2 - 27753783151/52154277*c_0110_4 + 7480293089/52154277, c_0101_2 - 775899841/17384759*c_0110_4^14 + 24883312961/52154277*c_0110_4^13 - 23035149797/17384759*c_0110_4^12 + 67067196649/52154277*c_0110_4^11 - 17927067937/17384759*c_0110_4^10 + 167279268481/52154277*c_0110_4^9 - 32834809835/7450611*c_0110_4^8 + 17782898866/7450611*c_0110_4^7 - 7394458093/17384759*c_0110_4^6 + 7152526816/52154277*c_0110_4^5 + 21711625116/17384759*c_0110_4^4 - 37499293610/17384759*c_0110_4^3 + 16414850642/52154277*c_0110_4^2 + 28213689824/52154277*c_0110_4 - 7540197803/52154277, c_0110_4^15 - 11*c_0110_4^14 + 33*c_0110_4^13 - 38*c_0110_4^12 + 32*c_0110_4^11 - 79*c_0110_4^10 + 121*c_0110_4^9 - 84*c_0110_4^8 + 26*c_0110_4^7 - 6*c_0110_4^6 - 27*c_0110_4^5 + 57*c_0110_4^4 - 22*c_0110_4^3 - 10*c_0110_4^2 + 7*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB