Magma V2.19-8 Tue Aug 20 2013 16:14:22 on localhost [Seed = 3229703394] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s353 geometric_solution 4.56296550 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.178040762175 0.190717595401 2 0 3 0 0132 2310 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206471082581 2.610998178423 1 3 3 4 0132 3201 0213 0132 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 -1 1 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 0.242898997218 0.706910645153 4 2 2 1 3201 0213 2310 0132 0 0 0 0 0 1 0 -1 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 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 0.242898997218 0.706910645153 5 5 2 3 0132 2310 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 -1 1 1 0 -1 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 0.574247560560 1.120933389883 4 5 5 4 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.760264205035 0.464743264874 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_0011_3, c_0011_4, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 53271715957783758242/5976586102880927345*c_0101_3^16 + 157599404816246170452/5976586102880927345*c_0101_3^15 + 484013179419823332382/5976586102880927345*c_0101_3^14 + 81893816587577715216/5976586102880927345*c_0101_3^13 - 1799909608287006115206/5976586102880927345*c_0101_3^12 - 4615627560460384542222/5976586102880927345*c_0101_3^11 - 4080059117295693282248/5976586102880927345*c_0101_3^10 + 39615004871837257427/853798014697275335*c_0101_3^9 + 2830406609000944942764/5976586102880927345*c_0101_3^8 - 173243112325443775532/1195317220576185469*c_0101_3^7 - 7745626348610491502638/5976586102880927345*c_0101_3^6 - 454308526081405949431/5976586102880927345*c_0101_3^5 - 73510242802452027907/1195317220576185469*c_0101_3^4 - 1732812307390046822806/5976586102880927345*c_0101_3^3 + 96217132771320187798/1195317220576185469*c_0101_3^2 + 9843853591721663653/1195317220576185469*c_0101_3 - 150081221804255705381/5976586102880927345, c_0011_0 - 1, c_0011_1 - 17422298245422425/170759602939455067*c_0101_3^16 + 58934980391802149/170759602939455067*c_0101_3^15 + 129723675465584101/170759602939455067*c_0101_3^14 - 20056970608016919/170759602939455067*c_0101_3^13 - 540990980343411682/170759602939455067*c_0101_3^12 - 1252552099658685727/170759602939455067*c_0101_3^11 - 920405585854868672/170759602939455067*c_0101_3^10 + 94734466342106749/170759602939455067*c_0101_3^9 + 411788482014012283/170759602939455067*c_0101_3^8 - 620913960227096209/170759602939455067*c_0101_3^7 - 2085843298250195140/170759602939455067*c_0101_3^6 + 746790179679628700/170759602939455067*c_0101_3^5 - 1016337702017098001/170759602939455067*c_0101_3^4 - 439764664577845171/170759602939455067*c_0101_3^3 + 369521194647757525/170759602939455067*c_0101_3^2 - 320626967022900502/170759602939455067*c_0101_3 - 47629866617933207/170759602939455067, c_0011_3 - 36666997382362486/170759602939455067*c_0101_3^16 + 102703051828148521/170759602939455067*c_0101_3^15 + 344109384605402604/170759602939455067*c_0101_3^14 + 125829603400254528/170759602939455067*c_0101_3^13 - 1169903365710162597/170759602939455067*c_0101_3^12 - 3357415550452847604/170759602939455067*c_0101_3^11 - 3520917961992041923/170759602939455067*c_0101_3^10 - 823025529223285801/170759602939455067*c_0101_3^9 + 1446915152850124565/170759602939455067*c_0101_3^8 - 236444427894226026/170759602939455067*c_0101_3^7 - 4981325167151770090/170759602939455067*c_0101_3^6 - 1110482044979268711/170759602939455067*c_0101_3^5 - 1191055933145287633/170759602939455067*c_0101_3^4 - 1434864790112755970/170759602939455067*c_0101_3^3 + 152092637240557397/170759602939455067*c_0101_3^2 - 173243128708679849/170759602939455067*c_0101_3 + 61764404501147013/170759602939455067, c_0011_4 - 889304545915138/170759602939455067*c_0101_3^16 - 9770857475954910/170759602939455067*c_0101_3^15 + 50867505662636102/170759602939455067*c_0101_3^14 + 98852049366935548/170759602939455067*c_0101_3^13 - 73580994516741116/170759602939455067*c_0101_3^12 - 534611677147237584/170759602939455067*c_0101_3^11 - 953225571249130212/170759602939455067*c_0101_3^10 - 325998960996222228/170759602939455067*c_0101_3^9 + 873378608589994557/170759602939455067*c_0101_3^8 + 947237297684626894/170759602939455067*c_0101_3^7 - 570313905484701368/170759602939455067*c_0101_3^6 - 1868886993457093671/170759602939455067*c_0101_3^5 + 719184037464413961/170759602939455067*c_0101_3^4 + 415602194010265132/170759602939455067*c_0101_3^3 - 143790624179794081/170759602939455067*c_0101_3^2 + 289804579180958049/170759602939455067*c_0101_3 - 3943006297292404/170759602939455067, c_0101_1 + 14179697647755208/170759602939455067*c_0101_3^16 - 42560997069614625/170759602939455067*c_0101_3^15 - 116724134769890452/170759602939455067*c_0101_3^14 - 47240089378596456/170759602939455067*c_0101_3^13 + 388905857145883258/170759602939455067*c_0101_3^12 + 1194193888938055458/170759602939455067*c_0101_3^11 + 1375042020163511624/170759602939455067*c_0101_3^10 + 750351314489777525/170759602939455067*c_0101_3^9 + 10608311306132512/170759602939455067*c_0101_3^8 + 253743821627672667/170759602939455067*c_0101_3^7 + 1614055162814865422/170759602939455067*c_0101_3^6 + 274487739419873844/170759602939455067*c_0101_3^5 + 1544120850577118082/170759602939455067*c_0101_3^4 + 392649537809727567/170759602939455067*c_0101_3^3 - 29483097629493030/170759602939455067*c_0101_3^2 + 361625519588548320/170759602939455067*c_0101_3 - 62137048732880128/170759602939455067, c_0101_3^17 - 3*c_0101_3^16 - 9*c_0101_3^15 - c_0101_3^14 + 34*c_0101_3^13 + 85*c_0101_3^12 + 72*c_0101_3^11 - 10*c_0101_3^10 - 53*c_0101_3^9 + 19*c_0101_3^8 + 144*c_0101_3^7 + 4*c_0101_3^5 + 38*c_0101_3^4 - 16*c_0101_3^3 + 3*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB