Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 644332381] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3283 geometric_solution 6.40523254 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0.839745994824 0.632243810232 0 4 5 0 0132 0132 0132 3201 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 0 0 1.132200060468 1.181522250253 3 3 5 0 1302 1023 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641339053416 0.520324254651 2 2 0 4 1023 2031 0132 1302 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 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 0.641339053416 0.520324254651 6 1 3 5 0132 0132 2031 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 0 0 1 0 -1 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 0.059693383576 0.762879379836 2 4 6 1 2031 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.059693383576 0.762879379836 4 5 6 6 0132 3201 2031 1302 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 0 1 -1 -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 0.307659254223 0.522923744878 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0110_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_1'], '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_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : negation(d['c_0101_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_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 203291613202027360/575915232432877*c_0110_3^17 - 1153149885129096106/575915232432877*c_0110_3^16 - 1119317653374142573/575915232432877*c_0110_3^15 + 34505853500712951339/4607321859463016*c_0110_3^14 + 65072046242591171343/4607321859463016*c_0110_3^13 - 21575803146527601003/2303660929731508*c_0110_3^12 - 150939131967565856459/4607321859463016*c_0110_3^11 - 5056950264734103695/4607321859463016*c_0110_3^10 + 21067482768276808911/575915232432877*c_0110_3^9 + 31331496121252897169/2303660929731508*c_0110_3^8 - 43080512479421258059/2303660929731508*c_0110_3^7 - 55956786839114426221/4607321859463016*c_0110_3^6 + 7220414326702036067/4607321859463016*c_0110_3^5 + 15187301395838032519/4607321859463016*c_0110_3^4 + 7387949263339905535/4607321859463016*c_0110_3^3 + 643923155955946251/2303660929731508*c_0110_3^2 - 58603507584717986/575915232432877*c_0110_3 - 530394441958304941/4607321859463016, c_0011_0 - 1, c_0011_2 - 1489532304/477411413*c_0110_3^17 - 8322365144/477411413*c_0110_3^16 - 8069193329/477411413*c_0110_3^15 + 29301383851/477411413*c_0110_3^14 + 54506185752/477411413*c_0110_3^13 - 35064166752/477411413*c_0110_3^12 - 119693641235/477411413*c_0110_3^11 - 3176724639/477411413*c_0110_3^10 + 124080348816/477411413*c_0110_3^9 + 42544652552/477411413*c_0110_3^8 - 54566329468/477411413*c_0110_3^7 - 33145455483/477411413*c_0110_3^6 - 1987704750/477411413*c_0110_3^5 + 5855676652/477411413*c_0110_3^4 + 7002966711/477411413*c_0110_3^3 + 1739546243/477411413*c_0110_3^2 - 65122455/477411413*c_0110_3 - 329494204/477411413, c_0101_0 - 141863795988656/30311328022783*c_0110_3^17 - 807872158609464/30311328022783*c_0110_3^16 - 782343553079099/30311328022783*c_0110_3^15 + 3042189457909262/30311328022783*c_0110_3^14 + 5669637096869203/30311328022783*c_0110_3^13 - 3852239573450208/30311328022783*c_0110_3^12 - 12958747494630854/30311328022783*c_0110_3^11 - 198832082956392/30311328022783*c_0110_3^10 + 13994203428677952/30311328022783*c_0110_3^9 + 4912017930901365/30311328022783*c_0110_3^8 - 6465975778551896/30311328022783*c_0110_3^7 - 4125095335638409/30311328022783*c_0110_3^6 - 89735673358195/30311328022783*c_0110_3^5 + 834547554860322/30311328022783*c_0110_3^4 + 809018776378465/30311328022783*c_0110_3^3 + 196085826415044/30311328022783*c_0110_3^2 - 10505313910994/30311328022783*c_0110_3 - 36691338712950/30311328022783, c_0101_1 + c_0110_3, c_0101_4 + 85798737628400/30311328022783*c_0110_3^17 + 421143088025176/30311328022783*c_0110_3^16 + 190470324044607/30311328022783*c_0110_3^15 - 1753339253082750/30311328022783*c_0110_3^14 - 1906514383924411/30311328022783*c_0110_3^13 + 3024891476395336/30311328022783*c_0110_3^12 + 4454008202142002/30311328022783*c_0110_3^11 - 2336756231008012/30311328022783*c_0110_3^10 - 4687033594258242/30311328022783*c_0110_3^9 + 393374324204564/30311328022783*c_0110_3^8 + 2088359504956469/30311328022783*c_0110_3^7 + 436899472693098/30311328022783*c_0110_3^6 - 71361794713803/30311328022783*c_0110_3^5 - 133161991364793/30311328022783*c_0110_3^4 - 64986975670897/30311328022783*c_0110_3^3 - 27346215637585/30311328022783*c_0110_3^2 - 65028143910525/30311328022783*c_0110_3 - 1896582409487/30311328022783, c_0101_6 + 190458486180088/30311328022783*c_0110_3^17 + 1081784662447116/30311328022783*c_0110_3^16 + 2174538503082479/60622656045566*c_0110_3^15 - 3904609164361661/30311328022783*c_0110_3^14 - 15268665098725399/60622656045566*c_0110_3^13 + 9079771016049531/60622656045566*c_0110_3^12 + 17417883459883892/30311328022783*c_0110_3^11 + 2608047077145237/60622656045566*c_0110_3^10 - 19239045407506580/30311328022783*c_0110_3^9 - 7566786141853291/30311328022783*c_0110_3^8 + 19828087712220645/60622656045566*c_0110_3^7 + 6182053211946555/30311328022783*c_0110_3^6 - 1137717084971364/30311328022783*c_0110_3^5 - 1441426704345346/30311328022783*c_0110_3^4 - 1229595626910331/60622656045566*c_0110_3^3 - 204656186835995/30311328022783*c_0110_3^2 + 44925442127641/60622656045566*c_0110_3 + 97372340624373/60622656045566, c_0110_3^18 + 11/2*c_0110_3^17 + 73/16*c_0110_3^16 - 351/16*c_0110_3^15 - 575/16*c_0110_3^14 + 265/8*c_0110_3^13 + 1385/16*c_0110_3^12 - 219/16*c_0110_3^11 - 1629/16*c_0110_3^10 - 145/8*c_0110_3^9 + 939/16*c_0110_3^8 + 367/16*c_0110_3^7 - 11*c_0110_3^6 - 8*c_0110_3^5 - 39/16*c_0110_3^4 + 3/16*c_0110_3^3 + 7/16*c_0110_3^2 + 1/4*c_0110_3 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB