Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 1713896104] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2255 geometric_solution 5.68431433 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 1.609682019946 0.395274040496 0 2 3 0 3201 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925377451009 0.568514262924 4 1 3 5 0132 0132 1302 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488376628613 0.695443902911 2 5 4 1 2031 2310 0132 0132 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 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 0.488376628613 0.695443902911 2 6 6 3 0132 0132 1023 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 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285142166018 0.410676749087 5 5 2 3 1302 2031 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419310342453 0.464760423278 6 4 4 6 3201 0132 1023 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 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 1.436975044304 0.876736456324 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['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' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 89051743916185/553390438379*c_0101_6*c_0110_5^15 + 291043695354948/553390438379*c_0101_6*c_0110_5^14 - 1361892680375649/553390438379*c_0101_6*c_0110_5^13 - 2532021183420722/553390438379*c_0101_6*c_0110_5^12 + 4319698871535733/553390438379*c_0101_6*c_0110_5^11 + 15936892134906793/553390438379*c_0101_6*c_0110_5^10 - 22449921262974773/553390438379*c_0101_6*c_0110_5^9 - 20403697908404556/553390438379*c_0101_6*c_0110_5^8 + 36832616966730236/553390438379*c_0101_6*c_0110_5^7 + 7731311919141067/553390438379*c_0101_6*c_0110_5^6 - 23770392609947216/553390438379*c_0101_6*c_0110_5^5 - 783987421870854/553390438379*c_0101_6*c_0110_5^4 + 6966691328261248/553390438379*c_0101_6*c_0110_5^3 - 153571945615489/553390438379*c_0101_6*c_0110_5^2 - 887230089183149/553390438379*c_0101_6*c_0110_5 + 116215632991693/553390438379*c_0101_6, c_0011_0 - 1, c_0011_1 + 678420910085/553390438379*c_0110_5^15 + 2659996785160/553390438379*c_0110_5^14 - 8742823046107/553390438379*c_0110_5^13 - 25327746999313/553390438379*c_0110_5^12 + 17965267865287/553390438379*c_0110_5^11 + 135961730378000/553390438379*c_0110_5^10 - 87155719707183/553390438379*c_0110_5^9 - 230410269868821/553390438379*c_0110_5^8 + 155907013246152/553390438379*c_0110_5^7 + 180654670275689/553390438379*c_0110_5^6 - 99767105423895/553390438379*c_0110_5^5 - 78280592748273/553390438379*c_0110_5^4 + 20568485668837/553390438379*c_0110_5^3 + 16000520572074/553390438379*c_0110_5^2 - 737092246215/553390438379*c_0110_5 - 652098535363/553390438379, c_0011_3 - 1413389623670/553390438379*c_0101_6*c_0110_5^15 - 4806141899838/553390438379*c_0101_6*c_0110_5^14 + 20964497644610/553390438379*c_0101_6*c_0110_5^13 + 42932795160723/553390438379*c_0101_6*c_0110_5^12 - 62499415524375/553390438379*c_0101_6*c_0110_5^11 - 260847034001366/553390438379*c_0101_6*c_0110_5^10 + 319786131340108/553390438379*c_0101_6*c_0110_5^9 + 361834620652461/553390438379*c_0101_6*c_0110_5^8 - 528991852229275/553390438379*c_0101_6*c_0110_5^7 - 184177292029094/553390438379*c_0101_6*c_0110_5^6 + 341026698088624/553390438379*c_0101_6*c_0110_5^5 + 50349246095435/553390438379*c_0101_6*c_0110_5^4 - 97034044032402/553390438379*c_0101_6*c_0110_5^3 - 4876834260469/553390438379*c_0101_6*c_0110_5^2 + 12131098796705/553390438379*c_0101_6*c_0110_5 - 1747605121653/553390438379*c_0101_6, c_0011_5 - 620285518007/553390438379*c_0101_6*c_0110_5^15 - 1919501188606/553390438379*c_0101_6*c_0110_5^14 + 9910249808931/553390438379*c_0101_6*c_0110_5^13 + 16225781764501/553390438379*c_0101_6*c_0110_5^12 - 34276548397537/553390438379*c_0101_6*c_0110_5^11 - 108035128862239/553390438379*c_0101_6*c_0110_5^10 + 179224678586347/553390438379*c_0101_6*c_0110_5^9 + 129615673645195/553390438379*c_0101_6*c_0110_5^8 - 297513426269621/553390438379*c_0101_6*c_0110_5^7 - 31992194209073/553390438379*c_0101_6*c_0110_5^6 + 198356127084277/553390438379*c_0101_6*c_0110_5^5 - 5215253153097/553390438379*c_0101_6*c_0110_5^4 - 63223040795578/553390438379*c_0101_6*c_0110_5^3 + 472213489400/553390438379*c_0101_6*c_0110_5^2 + 8745522191404/553390438379*c_0101_6*c_0110_5 - 360806144695/553390438379*c_0101_6, c_0101_0 + 64520006306/553390438379*c_0110_5^15 + 516519745147/553390438379*c_0110_5^14 + 139480523508/553390438379*c_0110_5^13 - 6050365990472/553390438379*c_0110_5^12 - 7347363421766/553390438379*c_0110_5^11 + 22153470695116/553390438379*c_0110_5^10 + 43004174772066/553390438379*c_0110_5^9 - 67491574285874/553390438379*c_0110_5^8 - 66161492794065/553390438379*c_0110_5^7 + 96345716363958/553390438379*c_0110_5^6 + 45074038799566/553390438379*c_0110_5^5 - 59207388363731/553390438379*c_0110_5^4 - 17502569288769/553390438379*c_0110_5^3 + 14380994730750/553390438379*c_0110_5^2 + 2458966481307/553390438379*c_0110_5 - 1206232778783/553390438379, c_0101_6^2 + 320963784658/553390438379*c_0110_5^15 + 1954095073766/553390438379*c_0110_5^14 - 1362140857066/553390438379*c_0110_5^13 - 20703495334526/553390438379*c_0110_5^12 - 17806675972547/553390438379*c_0110_5^11 + 80331178286567/553390438379*c_0110_5^10 + 96858605787145/553390438379*c_0110_5^9 - 188529201791138/553390438379*c_0110_5^8 - 156148559322709/553390438379*c_0110_5^7 + 226945752911149/553390438379*c_0110_5^6 + 127572174570909/553390438379*c_0110_5^5 - 122014410225251/553390438379*c_0110_5^4 - 60057605474908/553390438379*c_0110_5^3 + 22450159744318/553390438379*c_0110_5^2 + 10318976690976/553390438379*c_0110_5 - 1612492447381/553390438379, c_0110_5^16 + 4*c_0110_5^15 - 13*c_0110_5^14 - 40*c_0110_5^13 + 29*c_0110_5^12 + 218*c_0110_5^11 - 124*c_0110_5^10 - 433*c_0110_5^9 + 260*c_0110_5^8 + 421*c_0110_5^7 - 227*c_0110_5^6 - 228*c_0110_5^5 + 86*c_0110_5^4 + 66*c_0110_5^3 - 14*c_0110_5^2 - 8*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB