Magma V2.19-8 Tue Aug 20 2013 16:16:33 on localhost [Seed = 1680210107] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0846 geometric_solution 4.76389329 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 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 -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 1.295241086600 0.088371904087 2 0 0 2 0132 0132 1023 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 1 0 -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 1.522094143478 0.342078530331 1 3 4 1 0132 0132 0132 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 -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 0.016279890819 0.755617193332 4 2 5 4 2310 0132 0132 2031 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172769035706 0.630016474169 5 3 3 2 1023 1302 3201 0132 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 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 0.172769035706 0.630016474169 6 4 6 3 0132 1023 2310 0132 0 0 0 0 0 1 -1 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 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 1.408227006176 0.517069079419 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 -1 1 0 0 0 1 -1 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 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509308977420 0.459470660087 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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_5'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_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_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 932556204496470332643193833/123917027524934195646601138*c_0101_5^23 + 5601385485996534991133060623/123917027524934195646601138*c_0101_5\ ^21 + 196799541951014945734703811773/123917027524934195646601138*c_\ 0101_5^19 - 2817872862633905448867030667289/12391702752493419564660\ 1138*c_0101_5^17 - 11882592664311088409309562854057/123917027524934\ 195646601138*c_0101_5^15 - 5377671379959305531979819203091/12391702\ 7524934195646601138*c_0101_5^13 + 8181069596466992463800118577319/6\ 1958513762467097823300569*c_0101_5^11 + 6793007786534886082181745769197/123917027524934195646601138*c_0101_\ 5^9 - 7727779841832229998020937768953/123917027524934195646601138*c\ _0101_5^7 - 744450620284611810950382637151/619585137624670978233005\ 69*c_0101_5^5 + 1274773738693079731643929818613/1239170275249341956\ 46601138*c_0101_5^3 - 43145138278482511463237965852/619585137624670\ 97823300569*c_0101_5, c_0011_0 - 1, c_0011_4 + 673593912404789748804553/61958513762467097823300569*c_0101_5\ ^23 + 4322295038114616604783063/61958513762467097823300569*c_0101_5\ ^21 + 143422610553557416782265213/61958513762467097823300569*c_0101\ _5^19 - 1979172870914680951215111592/61958513762467097823300569*c_0\ 101_5^17 - 9498693245684135918584422738/61958513762467097823300569*\ c_0101_5^15 - 6191974285592577081869857495/619585137624670978233005\ 69*c_0101_5^13 + 14492009204106220951581269359/61958513762467097823\ 300569*c_0101_5^11 + 9943738025132173794052684826/61958513762467097\ 823300569*c_0101_5^9 - 9499568971257799023931370418/619585137624670\ 97823300569*c_0101_5^7 - 2597823780865081293416228928/6195851376246\ 7097823300569*c_0101_5^5 + 2232421191073169047918088514/61958513762\ 467097823300569*c_0101_5^3 - 275121317574847697578315056/6195851376\ 2467097823300569*c_0101_5, c_0101_0 - 11193548525590314674133068/61958513762467097823300569*c_0101\ _5^23 - 66556035920412373169423151/61958513762467097823300569*c_010\ 1_5^21 - 2358599304438638462297746600/61958513762467097823300569*c_\ 0101_5^19 + 33963856029822271876453618157/6195851376246709782330056\ 9*c_0101_5^17 + 140482925082848889803105941695/61958513762467097823\ 300569*c_0101_5^15 + 57428942658590870519820240668/6195851376246709\ 7823300569*c_0101_5^13 - 195789992269809423941911265575/61958513762\ 467097823300569*c_0101_5^11 - 72141710884734389931651156776/6195851\ 3762467097823300569*c_0101_5^9 + 89242764358593429195606064883/6195\ 8513762467097823300569*c_0101_5^7 + 16225443554548885084615646858/61958513762467097823300569*c_0101_5^5 - 13384908660254346978736883426/61958513762467097823300569*c_0101_5\ ^3 + 472945153781368883516317626/61958513762467097823300569*c_0101_\ 5, c_0101_1 - 20564265938778587173819391/61958513762467097823300569*c_0101\ _5^23 - 122222024338262379826452624/61958513762467097823300569*c_01\ 01_5^21 - 4333146471002684737721720564/61958513762467097823300569*c\ _0101_5^19 + 62405614524086271948737040675/619585137624670978233005\ 69*c_0101_5^17 + 257859109168472988537510195893/6195851376246709782\ 3300569*c_0101_5^15 + 105896830005953265791188174024/61958513762467\ 097823300569*c_0101_5^13 - 355580604515162594180529977870/619585137\ 62467097823300569*c_0101_5^11 - 129062064357316470079041970562/6195\ 8513762467097823300569*c_0101_5^9 + 160137328005025462472989618820/61958513762467097823300569*c_0101_5^\ 7 + 27489526218538405537085165671/61958513762467097823300569*c_0101\ _5^5 - 23836001930025762678727974965/61958513762467097823300569*c_0\ 101_5^3 + 1009577536984944022370124709/61958513762467097823300569*c\ _0101_5, c_0101_2 - 10244608725376979434280824/61958513762467097823300569*c_0101\ _5^23 - 60270662681889246299164165/61958513762467097823300569*c_010\ 1_5^21 - 2155054733981084611227873848/61958513762467097823300569*c_\ 0101_5^19 + 31218798891312724940065269954/6195851376246709782330056\ 9*c_0101_5^17 + 126574280653796507113545686834/61958513762467097823\ 300569*c_0101_5^15 + 45215148232987233360146080869/6195851376246709\ 7823300569*c_0101_5^13 - 179996385143306111652510254062/61958513762\ 467097823300569*c_0101_5^11 - 54778186461975881558162595560/6195851\ 3762467097823300569*c_0101_5^9 + 82254104711782806802041136201/6195\ 8513762467097823300569*c_0101_5^7 + 10155802831776146612244911226/61958513762467097823300569*c_0101_5^5 - 12165523508761090172335151951/61958513762467097823300569*c_0101_5\ ^3 + 821664322940112693827985036/61958513762467097823300569*c_0101_\ 5, c_0101_3 - 200297399783917185789948/61958513762467097823300569*c_0101_5\ ^22 - 282379225924623037351629/61958513762467097823300569*c_0101_5^\ 20 - 37084956863480919021634671/61958513762467097823300569*c_0101_5\ ^18 + 797867526134043916566735844/61958513762467097823300569*c_0101\ _5^16 - 300596677511727539442990102/61958513762467097823300569*c_01\ 01_5^14 - 9444713399967738993091709982/61958513762467097823300569*c\ _0101_5^12 - 5713763693846720462310272408/6195851376246709782330056\ 9*c_0101_5^10 + 12085905035738372383280903052/619585137624670978233\ 00569*c_0101_5^8 + 1859972094092974500726211846/6195851376246709782\ 3300569*c_0101_5^6 - 3706103613078455133640836515/61958513762467097\ 823300569*c_0101_5^4 + 517990952083494575574028102/6195851376246709\ 7823300569*c_0101_5^2 + 9910622161689857395862897/61958513762467097\ 823300569, c_0101_5^24 + 6*c_0101_5^22 + 211*c_0101_5^20 - 3023*c_0101_5^18 - 12721*c_0101_5^16 - 5705*c_0101_5^14 + 17516*c_0101_5^12 + 7192*c_0101_5^10 - 8218*c_0101_5^8 - 1580*c_0101_5^6 + 1336*c_0101_5^4 - 85*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB