Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 1949690003] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1845 geometric_solution 5.49153195 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 0 -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 -0.245531251790 1.413922057812 0 5 1 1 0132 0132 1230 3012 0 0 0 0 0 0 0 0 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 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 0.342032553750 0.646112426558 2 0 2 5 2310 0132 3201 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 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 0.533639564712 0.615971700648 6 4 6 0 0132 3012 0213 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 -0.595793422981 0.844325887591 3 5 0 6 1230 3201 0132 0213 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 -1 1 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 -0.119474177929 0.367011391856 2 1 4 6 3201 0132 2310 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245531251790 1.413922057812 3 3 5 4 0132 0213 1230 0213 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -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 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 0.489590857950 0.259039941977 ==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_1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1010_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), '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_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 3*c_1010_6 + 5, c_0011_0 - 1, c_0011_3 + 1, c_0011_4 - c_1010_6, c_0101_0 - c_1010_6, c_0101_1 - 1, c_0101_2 - c_1010_6, c_1010_6^2 + c_1010_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 482097130842025/757803082893*c_1010_6^11 + 32154433084418494/9851440077609*c_1010_6^10 - 79965938737737686/9851440077609*c_1010_6^9 + 46234032564876016/3283813359203*c_1010_6^8 - 139511403967303153/9851440077609*c_1010_6^7 + 2878141062661467/252601027631*c_1010_6^6 - 115699005735950672/9851440077609*c_1010_6^5 + 15966689753734040/9851440077609*c_1010_6^4 - 32308035503555558/9851440077609*c_1010_6^3 - 8320590197086697/9851440077609*c_1010_6^2 - 834726495534536/9851440077609*c_1010_6 - 834936506782658/9851440077609, c_0011_0 - 1, c_0011_3 + 382340208535/252601027631*c_1010_6^11 - 27773660444484/3283813359203*c_1010_6^10 + 75102972155626/3283813359203*c_1010_6^9 - 138932870982246/3283813359203*c_1010_6^8 + 159724335541604/3283813359203*c_1010_6^7 - 10454336953785/252601027631*c_1010_6^6 + 125896012110404/3283813359203*c_1010_6^5 - 47943001188761/3283813359203*c_1010_6^4 + 29631315400442/3283813359203*c_1010_6^3 - 3535269106565/3283813359203*c_1010_6^2 - 1313809215565/3283813359203*c_1010_6 - 1154005587152/3283813359203, c_0011_4 - c_1010_6, c_0101_0 - 919894889398/252601027631*c_1010_6^11 + 64681416649670/3283813359203*c_1010_6^10 - 168315914902061/3283813359203*c_1010_6^9 + 300523469504792/3283813359203*c_1010_6^8 - 325213771819331/3283813359203*c_1010_6^7 + 20523395964135/252601027631*c_1010_6^6 - 266974749783899/3283813359203*c_1010_6^5 + 89424284622076/3283813359203*c_1010_6^4 - 60793935716571/3283813359203*c_1010_6^3 + 8764053921229/3283813359203*c_1010_6^2 + 2633767570478/3283813359203*c_1010_6 + 1233790699107/3283813359203, c_0101_1 + 554179636868/252601027631*c_1010_6^11 - 3096422002953/252601027631*c_1010_6^10 + 8370827957222/252601027631*c_1010_6^9 - 15453279402257/252601027631*c_1010_6^8 + 17657230038750/252601027631*c_1010_6^7 - 14741602497753/252601027631*c_1010_6^6 + 13193447845551/252601027631*c_1010_6^5 - 4220472556565/252601027631*c_1010_6^4 + 2162393038833/252601027631*c_1010_6^3 + 528824914367/252601027631*c_1010_6^2 - 602106222905/252601027631*c_1010_6 + 125485005328/252601027631, c_0101_2 - 47304415931/252601027631*c_1010_6^11 + 11385054458521/3283813359203*c_1010_6^10 - 52595016294892/3283813359203*c_1010_6^9 + 129483958758201/3283813359203*c_1010_6^8 - 216697981764928/3283813359203*c_1010_6^7 + 17004912912149/252601027631*c_1010_6^6 - 165702813053097/3283813359203*c_1010_6^5 + 151396402650202/3283813359203*c_1010_6^4 - 42134329645630/3283813359203*c_1010_6^3 + 21470306043791/3283813359203*c_1010_6^2 + 1597778176008/3283813359203*c_1010_6 - 2524173315195/3283813359203, c_1010_6^12 - 72/13*c_1010_6^11 + 193/13*c_1010_6^10 - 355/13*c_1010_6^9 + 406/13*c_1010_6^8 - 350/13*c_1010_6^7 + 335/13*c_1010_6^6 - 132/13*c_1010_6^5 + 81/13*c_1010_6^4 - 11/13*c_1010_6^3 - 5/13*c_1010_6^2 + 1/13*c_1010_6 - 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB