Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 981182172] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1862 geometric_solution 5.49734245 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301658977242 1.208836727550 0 3 4 3 0132 0132 0132 1023 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 -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 1.042653639354 1.254822550591 5 6 5 0 0132 0132 2031 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 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 0.261094225958 0.911693076208 5 1 6 1 1302 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697213750782 0.297142426164 4 6 4 1 2031 0213 1302 0132 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 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301658977242 1.208836727550 2 3 6 2 0132 2031 2031 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.303746828092 0.015016751804 3 2 4 5 2031 0132 0213 1302 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 -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 0.636728214740 1.325993027758 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : 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_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' : 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' : d['c_0101_0'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], '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' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_2']), '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_0110_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : d['c_0011_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_4, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 113/45*c_0110_3^3 - 62/15*c_0110_3^2 + 307/15*c_0110_3 + 508/45, c_0011_0 - 1, c_0011_2 + 1/3*c_0110_3^3 - 3*c_0110_3 + 1/3, c_0011_4 + 1, c_0101_0 - 1/3*c_0110_3^3 - 2/3*c_0110_3^2 + 8/3*c_0110_3, c_0101_1 - 1/3*c_0110_3^3 - 1/3*c_0110_3^2 + 7/3*c_0110_3 - 2/3, c_0101_2 + 1/3*c_0110_3^2 - 1/3*c_0110_3 - 2/3, c_0110_3^4 + c_0110_3^3 - 9*c_0110_3^2 + c_0110_3 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 627075147/228277190*c_0110_3^11 + 336096163/228277190*c_0110_3^10 - 3946742001/114138595*c_0110_3^9 + 2196414074/114138595*c_0110_3^8 - 17306843141/228277190*c_0110_3^7 + 950802252/22827719*c_0110_3^6 - 7075271627/228277190*c_0110_3^5 - 4444789728/114138595*c_0110_3^4 - 9180466686/114138595*c_0110_3^3 + 1013176453/114138595*c_0110_3^2 - 3707560239/228277190*c_0110_3 + 493728376/114138595, c_0011_0 - 1, c_0011_2 - 49123439/114138595*c_0110_3^11 + 8348056/22827719*c_0110_3^10 - 631637942/114138595*c_0110_3^9 + 107730106/22827719*c_0110_3^8 - 1529290277/114138595*c_0110_3^7 + 1179830108/114138595*c_0110_3^6 - 948997748/114138595*c_0110_3^5 - 479879719/114138595*c_0110_3^4 - 1285826802/114138595*c_0110_3^3 + 602160422/114138595*c_0110_3^2 - 481202107/114138595*c_0110_3 + 67697279/114138595, c_0011_4 + 16605266/114138595*c_0110_3^11 - 3725545/22827719*c_0110_3^10 + 222706228/114138595*c_0110_3^9 - 48643772/22827719*c_0110_3^8 + 631359813/114138595*c_0110_3^7 - 579719182/114138595*c_0110_3^6 + 552476772/114138595*c_0110_3^5 - 12305729/114138595*c_0110_3^4 + 439081138/114138595*c_0110_3^3 - 192040258/114138595*c_0110_3^2 + 345042383/114138595*c_0110_3 - 133305811/114138595, c_0101_0 + 16605266/114138595*c_0110_3^11 - 3725545/22827719*c_0110_3^10 + 222706228/114138595*c_0110_3^9 - 48643772/22827719*c_0110_3^8 + 631359813/114138595*c_0110_3^7 - 579719182/114138595*c_0110_3^6 + 552476772/114138595*c_0110_3^5 - 12305729/114138595*c_0110_3^4 + 439081138/114138595*c_0110_3^3 - 192040258/114138595*c_0110_3^2 + 345042383/114138595*c_0110_3 - 19167216/114138595, c_0101_1 + 67577106/114138595*c_0110_3^11 - 11266508/22827719*c_0110_3^10 + 860003648/114138595*c_0110_3^9 - 145679985/22827719*c_0110_3^8 + 1995222813/114138595*c_0110_3^7 - 1608265227/114138595*c_0110_3^6 + 1118145762/114138595*c_0110_3^5 + 618126026/114138595*c_0110_3^4 + 1862043228/114138595*c_0110_3^3 - 899611158/114138595*c_0110_3^2 + 333940578/114138595*c_0110_3 - 101316366/114138595, c_0101_2 + 14349964/114138595*c_0110_3^11 - 1072140/22827719*c_0110_3^10 + 181317827/114138595*c_0110_3^9 - 15567096/22827719*c_0110_3^8 + 404110507/114138595*c_0110_3^7 - 238700273/114138595*c_0110_3^6 + 181713263/114138595*c_0110_3^5 + 34453949/114138595*c_0110_3^4 + 471670072/114138595*c_0110_3^3 - 15387952/114138595*c_0110_3^2 + 39232917/114138595*c_0110_3 - 80078669/114138595, c_0110_3^12 - c_0110_3^11 + 13*c_0110_3^10 - 13*c_0110_3^9 + 33*c_0110_3^8 - 30*c_0110_3^7 + 24*c_0110_3^6 + 4*c_0110_3^5 + 27*c_0110_3^4 - 16*c_0110_3^3 + 11*c_0110_3^2 - 4*c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB