Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 3718005234] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s192 geometric_solution 4.30513001 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 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 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848721256104 0.776963141234 3 2 2 0 0132 3012 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.130906810772 0.726214123159 1 3 0 1 1230 3201 0132 3012 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 -1 1 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 1.130906810772 0.726214123159 1 4 2 4 0132 0132 2310 1023 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 -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 1.147763686202 0.457871667597 5 3 5 3 0132 0132 1023 1023 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 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 0.855916726736 0.238205912397 4 5 4 5 0132 2310 1023 3201 0 0 0 0 0 0 -1 1 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 -1 1 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 0.845704712275 0.133568052175 ==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_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_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_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 236571521411112431/678936683670334845*c_0101_5^12 - 3490763883609403/135787336734066969*c_0101_5^11 - 1863219235301056093/678936683670334845*c_0101_5^10 + 3911266069023295921/678936683670334845*c_0101_5^9 - 29611971025386263263/678936683670334845*c_0101_5^8 + 68256085746781214927/678936683670334845*c_0101_5^7 - 29012494460796505216/678936683670334845*c_0101_5^6 - 29402973595274742767/678936683670334845*c_0101_5^5 + 56827217675332628939/678936683670334845*c_0101_5^4 - 23767140228675863417/226312227890111615*c_0101_5^3 + 12634153775104436814/226312227890111615*c_0101_5^2 - 5504339525217907841/226312227890111615*c_0101_5 + 6946877233565822929/678936683670334845, c_0011_0 - 1, c_0011_1 + 212022922326757/6466063654003189*c_0101_5^12 + 213107208222172/6466063654003189*c_0101_5^11 - 1589350589830925/6466063654003189*c_0101_5^10 + 1751195947463905/6466063654003189*c_0101_5^9 - 23477893304078147/6466063654003189*c_0101_5^8 + 33714174207947440/6466063654003189*c_0101_5^7 + 28253517231673861/6466063654003189*c_0101_5^6 - 32429923077092654/6466063654003189*c_0101_5^5 + 20087472858232590/6466063654003189*c_0101_5^4 - 13105237584632929/6466063654003189*c_0101_5^3 - 18721276546039908/6466063654003189*c_0101_5^2 - 1554071221841766/6466063654003189*c_0101_5 + 1756751699900077/6466063654003189, c_0101_0 + 625632762698569/6466063654003189*c_0101_5^12 + 126935054317656/6466063654003189*c_0101_5^11 - 4996568975455277/6466063654003189*c_0101_5^10 + 8995286738737103/6466063654003189*c_0101_5^9 - 74984835163290470/6466063654003189*c_0101_5^8 + 157835147080205717/6466063654003189*c_0101_5^7 - 19750584945600932/6466063654003189*c_0101_5^6 - 116470181201947072/6466063654003189*c_0101_5^5 + 136097816551022055/6466063654003189*c_0101_5^4 - 136469107211554647/6466063654003189*c_0101_5^3 + 35718598761026885/6466063654003189*c_0101_5^2 + 5210173503071709/6466063654003189*c_0101_5 + 2355249912231858/6466063654003189, c_0101_1 - 501518053331367/6466063654003189*c_0101_5^12 - 182050531610776/6466063654003189*c_0101_5^11 + 3861651460523025/6466063654003189*c_0101_5^10 - 6646188638678181/6466063654003189*c_0101_5^9 + 59944035122672802/6466063654003189*c_0101_5^8 - 118352244403759843/6466063654003189*c_0101_5^7 + 10138560919123804/6466063654003189*c_0101_5^6 + 69547261637307820/6466063654003189*c_0101_5^5 - 100714419665489796/6466063654003189*c_0101_5^4 + 114727475980373448/6466063654003189*c_0101_5^3 - 22785954290032243/6466063654003189*c_0101_5^2 + 8771148100002597/6466063654003189*c_0101_5 - 2627209626174568/6466063654003189, c_0101_4 + 388641918559815/6466063654003189*c_0101_5^12 + 179578743933583/6466063654003189*c_0101_5^11 - 2982764175942287/6466063654003189*c_0101_5^10 + 4907105837246493/6466063654003189*c_0101_5^9 - 45808667215167149/6466063654003189*c_0101_5^8 + 86747384820722778/6466063654003189*c_0101_5^7 + 1957200921365868/6466063654003189*c_0101_5^6 - 61493353005990749/6466063654003189*c_0101_5^5 + 77066105084168478/6466063654003189*c_0101_5^4 - 72298307625076020/6466063654003189*c_0101_5^3 + 9580579469317338/6466063654003189*c_0101_5^2 - 2636356453624589/6466063654003189*c_0101_5 + 1009403080528838/6466063654003189, c_0101_5^13 - 8*c_0101_5^11 + 16*c_0101_5^10 - 123*c_0101_5^9 + 277*c_0101_5^8 - 86*c_0101_5^7 - 172*c_0101_5^6 + 254*c_0101_5^5 - 266*c_0101_5^4 + 97*c_0101_5^3 - 13*c_0101_5^2 + 9*c_0101_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB