Magma V2.19-8 Tue Aug 20 2013 16:18:04 on localhost [Seed = 4240269364] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2293 geometric_solution 5.70105124 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3120 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985036456096 0.998547112470 0 4 5 3 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385233535921 0.070739175432 5 0 0 3 2310 0132 3120 3201 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 1 0 0 -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 0.985036456096 0.998547112470 1 2 0 4 3012 2310 0132 1230 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 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 0.208519606596 0.399495692913 3 1 5 6 3012 0132 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.251743756549 1.273075844602 4 6 2 1 2310 0132 3201 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 0 0 1 0 -1 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 0.251743756549 1.273075844602 6 5 4 6 3012 0132 0132 1230 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 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305343182995 0.580509259544 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : 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' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_1001_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_0011_5, c_0101_1, c_0101_2, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 32/25*c_1001_1 + 16/5, c_0011_0 - 1, c_0011_3 + 1/2*c_1001_1 + 1/4, c_0011_5 - 1/2*c_1001_1 + 5/4, c_0101_1 - 1/2*c_1001_1 + 1/4, c_0101_2 + c_1001_1, c_1001_0 - 1, c_1001_1^2 - 5/4 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_1, c_0101_2, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 64/5*c_1001_1 + 96/5, c_0011_0 - 1, c_0011_3 + 2*c_1001_1 + 1/2, c_0011_5 - 1/2, c_0101_1 + c_1001_1 + 1/2, c_0101_2 + c_1001_1, c_1001_0 - 1, c_1001_1^2 + 1/2*c_1001_1 - 1/4 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_1, c_0101_2, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 29194484309375963336/9916118706005116241*c_1001_1^10 + 29382148965396625004/9916118706005116241*c_1001_1^9 + 26396085991056269216/9916118706005116241*c_1001_1^8 - 45275254058008163713/9916118706005116241*c_1001_1^7 - 67747340744051113898/9916118706005116241*c_1001_1^6 + 62104447897768088971/5666353546288637852*c_1001_1^5 + 863938111514203119403/79328949648040929928*c_1001_1^4 - 1217811174379405477831/39664474824020464964*c_1001_1^3 + 5746176464943780087/1525556724000787114*c_1001_1^2 + 747488323083115128077/9916118706005116241*c_1001_1 - 589145383550618762663/6102226896003148456, c_0011_0 - 1, c_0011_3 - 2058915188421324/108968337428627651*c_1001_1^10 - 1047264080822798/108968337428627651*c_1001_1^9 + 5370237615818912/108968337428627651*c_1001_1^8 + 1197956901352821/217936674857255302*c_1001_1^7 - 8205415168426419/108968337428627651*c_1001_1^6 + 341729081661679/871746699429021208*c_1001_1^5 + 286520222977102633/1743493398858042416*c_1001_1^4 - 136548434854379281/871746699429021208*c_1001_1^3 - 9182627133861097/33528719208808508*c_1001_1^2 + 302711663271792673/435873349714510604*c_1001_1 + 9520967512110095/134114876835234032, c_0011_5 - 1611063996366168/108968337428627651*c_1001_1^10 - 877541474935148/108968337428627651*c_1001_1^9 + 2463870285038184/108968337428627651*c_1001_1^8 - 3562489576314419/108968337428627651*c_1001_1^7 - 5306592480149068/108968337428627651*c_1001_1^6 + 8011560025654519/435873349714510604*c_1001_1^5 + 120820888771463533/871746699429021208*c_1001_1^4 + 10716398190656819/108968337428627651*c_1001_1^3 - 2252562267954507/16764359604404254*c_1001_1^2 - 38932618188071815/435873349714510604*c_1001_1 - 12002041628631925/67057438417617016, c_0101_1 - 2411712849184224/108968337428627651*c_1001_1^10 + 3571122113903416/108968337428627651*c_1001_1^9 + 3100154255625916/108968337428627651*c_1001_1^8 - 5213348777648472/108968337428627651*c_1001_1^7 - 1830258427669495/108968337428627651*c_1001_1^6 + 12899040412631180/108968337428627651*c_1001_1^5 + 62449248618398197/435873349714510604*c_1001_1^4 - 299564095571427941/871746699429021208*c_1001_1^3 - 9654578805892841/67057438417617016*c_1001_1^2 + 500379158283847189/871746699429021208*c_1001_1 - 40072434374305681/67057438417617016, c_0101_2 + 2058915188421324/108968337428627651*c_1001_1^10 + 1047264080822798/108968337428627651*c_1001_1^9 - 5370237615818912/108968337428627651*c_1001_1^8 - 1197956901352821/217936674857255302*c_1001_1^7 + 8205415168426419/108968337428627651*c_1001_1^6 - 341729081661679/871746699429021208*c_1001_1^5 - 286520222977102633/1743493398858042416*c_1001_1^4 + 136548434854379281/871746699429021208*c_1001_1^3 + 9182627133861097/33528719208808508*c_1001_1^2 - 302711663271792673/435873349714510604*c_1001_1 - 9520967512110095/134114876835234032, c_1001_0 - 4231622724612648/108968337428627651*c_1001_1^10 + 1959891206283524/108968337428627651*c_1001_1^9 + 4210120013284492/108968337428627651*c_1001_1^8 + 2173650758521223/108968337428627651*c_1001_1^7 - 8046306467405549/108968337428627651*c_1001_1^6 + 21068249893735741/435873349714510604*c_1001_1^5 + 55831184031427357/871746699429021208*c_1001_1^4 - 178454981903384791/871746699429021208*c_1001_1^3 + 1745729149104383/67057438417617016*c_1001_1^2 + 541180640609014233/871746699429021208*c_1001_1 - 6207808929101575/16764359604404254, c_1001_1^11 - 1/2*c_1001_1^10 - 3/2*c_1001_1^9 + 9/8*c_1001_1^8 + 27/8*c_1001_1^7 - 77/32*c_1001_1^6 - 381/64*c_1001_1^5 + 563/64*c_1001_1^4 + 169/32*c_1001_1^3 - 51/2*c_1001_1^2 + 1235/64*c_1001_1 + 1183/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB