Magma V2.19-8 Tue Aug 20 2013 23:29:39 on localhost [Seed = 391213379] Type ? for help. Type -D to quit. Loading file "K10n6__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n6 geometric_solution 8.39292251 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 -14 1 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.221653289347 0.889200736000 0 2 3 5 0132 3012 3012 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 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691323871428 0.641194718641 1 0 6 4 1230 0132 0132 1230 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 -1 1 0 14 0 -1 -13 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691323871428 0.641194718641 4 1 6 0 1023 1230 3012 0132 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 -1 1 0 0 0 0 13 0 0 -13 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790257834588 0.826052544450 2 3 0 5 3012 1023 0132 1230 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 0 13 -13 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790257834588 0.826052544450 4 7 1 8 3012 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 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 0.531277298596 0.547074639700 7 3 8 2 3201 1230 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 0 1 -1 0 0 -1 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 0.531277298596 0.547074639700 8 5 8 6 1023 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 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 0.170303085801 1.554734255142 6 7 5 7 2310 1023 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 -1 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170303085801 1.554734255142 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0101_6']), 's_2_8' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_8' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : d['c_0011_5'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_3'], 'c_1010_8' : negation(d['c_0101_6']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_5']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 135837307881159/59231230333975*c_0101_8^13 + 2212251870072843/118462460667950*c_0101_8^12 - 105951049710188/2369249213359*c_0101_8^11 + 3633266180478581/118462460667950*c_0101_8^10 - 5471736599345627/118462460667950*c_0101_8^9 + 10760372417312593/118462460667950*c_0101_8^8 - 34157874506584/466387640425*c_0101_8^7 + 1082897449856134/11846246066795*c_0101_8^6 - 11078823381953703/118462460667950*c_0101_8^5 + 153231208012761/1692320866685*c_0101_8^4 - 4849569754206442/59231230333975*c_0101_8^3 + 1516957851128431/16923208666850*c_0101_8^2 - 925123289687587/16923208666850*c_0101_8 - 4763708530317313/118462460667950, c_0011_0 - 1, c_0011_5 - 56895224121/338464173337*c_0101_8^13 + 378829711116/338464173337*c_0101_8^12 - 532433826435/338464173337*c_0101_8^11 - 118546360079/338464173337*c_0101_8^10 - 1236860927797/338464173337*c_0101_8^9 + 494333039315/338464173337*c_0101_8^8 - 5114182568/2665072231*c_0101_8^7 + 1311151427444/338464173337*c_0101_8^6 - 508362794028/338464173337*c_0101_8^5 + 1287105461809/338464173337*c_0101_8^4 - 201279843365/338464173337*c_0101_8^3 + 1865610450777/338464173337*c_0101_8^2 + 1195488900029/338464173337*c_0101_8 + 405681122021/338464173337, c_0011_6 - 56895224121/338464173337*c_0101_8^13 + 378829711116/338464173337*c_0101_8^12 - 532433826435/338464173337*c_0101_8^11 - 118546360079/338464173337*c_0101_8^10 - 1236860927797/338464173337*c_0101_8^9 + 494333039315/338464173337*c_0101_8^8 - 5114182568/2665072231*c_0101_8^7 + 1311151427444/338464173337*c_0101_8^6 - 508362794028/338464173337*c_0101_8^5 + 1287105461809/338464173337*c_0101_8^4 - 201279843365/338464173337*c_0101_8^3 + 1865610450777/338464173337*c_0101_8^2 + 1195488900029/338464173337*c_0101_8 + 405681122021/338464173337, c_0101_0 + 454840304913/2369249213359*c_0101_8^13 - 2960812681382/2369249213359*c_0101_8^12 + 3745022292910/2369249213359*c_0101_8^11 + 1981269710059/2369249213359*c_0101_8^10 + 9583898106193/2369249213359*c_0101_8^9 - 3340205916098/2369249213359*c_0101_8^8 + 35810234244/18655505617*c_0101_8^7 - 9445935036193/2369249213359*c_0101_8^6 + 3447050387636/2369249213359*c_0101_8^5 - 1469019658402/338464173337*c_0101_8^4 - 726606468250/2369249213359*c_0101_8^3 - 2231914946127/338464173337*c_0101_8^2 - 1665670724603/338464173337*c_0101_8 - 4971805274572/2369249213359, c_0101_1 + 426407484085/2369249213359*c_0101_8^13 - 2615018640576/2369249213359*c_0101_8^12 + 2441042123995/2369249213359*c_0101_8^11 + 3393274364815/2369249213359*c_0101_8^10 + 9082334428534/2369249213359*c_0101_8^9 + 779758324726/2369249213359*c_0101_8^8 + 22556905744/18655505617*c_0101_8^7 - 6397503707311/2369249213359*c_0101_8^6 - 1437754892255/2369249213359*c_0101_8^5 - 1202380073020/338464173337*c_0101_8^4 - 3843490432869/2369249213359*c_0101_8^3 - 1766041298155/338464173337*c_0101_8^2 - 2192140409160/338464173337*c_0101_8 - 6942506846022/2369249213359, c_0101_2 + c_0101_8, c_0101_3 - 454840304913/2369249213359*c_0101_8^13 + 2960812681382/2369249213359*c_0101_8^12 - 3745022292910/2369249213359*c_0101_8^11 - 1981269710059/2369249213359*c_0101_8^10 - 9583898106193/2369249213359*c_0101_8^9 + 3340205916098/2369249213359*c_0101_8^8 - 35810234244/18655505617*c_0101_8^7 + 9445935036193/2369249213359*c_0101_8^6 - 3447050387636/2369249213359*c_0101_8^5 + 1469019658402/338464173337*c_0101_8^4 + 726606468250/2369249213359*c_0101_8^3 + 2231914946127/338464173337*c_0101_8^2 + 1665670724603/338464173337*c_0101_8 + 4971805274572/2369249213359, c_0101_6 - 409143926294/2369249213359*c_0101_8^13 + 2724850885765/2369249213359*c_0101_8^12 - 3788779019404/2369249213359*c_0101_8^11 - 1140096621707/2369249213359*c_0101_8^10 - 8597036960985/2369249213359*c_0101_8^9 + 4465849666071/2369249213359*c_0101_8^8 - 38830740408/18655505617*c_0101_8^7 + 8118304417633/2369249213359*c_0101_8^6 - 3412254635387/2369249213359*c_0101_8^5 + 1411865444579/338464173337*c_0101_8^4 - 257195807648/2369249213359*c_0101_8^3 + 1957117011203/338464173337*c_0101_8^2 + 1430575983897/338464173337*c_0101_8 + 3035463412752/2369249213359, c_0101_8^14 - 6*c_0101_8^13 + 5*c_0101_8^12 + 8*c_0101_8^11 + 24*c_0101_8^10 + 4*c_0101_8^9 + 7*c_0101_8^8 - 15*c_0101_8^7 - 4*c_0101_8^6 - 20*c_0101_8^5 - 12*c_0101_8^4 - 34*c_0101_8^3 - 42*c_0101_8^2 - 24*c_0101_8 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB