Magma V2.19-8 Tue Aug 20 2013 23:38:55 on localhost [Seed = 1377056303] Type ? for help. Type -D to quit. Loading file "K12n328__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n328 geometric_solution 10.44045351 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 -12 12 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906808712281 0.881026904908 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 11 -11 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364000558025 0.346261033644 8 0 9 6 0132 0132 0132 0213 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 1 0 -1 1 0 0 -1 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657211090818 0.865211897047 6 7 9 0 0132 0213 0321 0132 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 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673559457980 0.575260909084 5 8 0 7 0132 0132 0132 2310 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 0 -11 -1 12 0 0 0 0 -1 1 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484661283144 1.227115732738 4 1 9 8 0132 0132 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 -11 0 0 11 1 11 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262135197247 1.014663631963 3 10 1 2 0132 0132 0132 0213 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 -1 0 1 0 0 0 0 0 -1 0 1 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980890490001 1.214751485782 4 10 3 1 3201 0213 0213 0132 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 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103969246490 1.115075608728 2 4 5 10 0132 0132 2031 1023 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 0 11 -11 0 -1 0 0 1 0 11 0 -11 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262135197247 1.014663631963 5 10 3 2 2031 1023 0321 0132 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 12 0 0 -12 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731932646016 0.797876571930 9 6 7 8 1023 0132 0213 1023 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 1 0 -1 0 0 0 0 0 -11 0 11 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378376557664 1.126201255921 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0110_10'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0110_10'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_10'], 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_1001_10'], 'c_1100_10' : d['c_1001_1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0110_10'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0110_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : 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' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], '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_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_10, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 5632/3519*c_1001_1^3 + 93056/24633*c_1001_1^2 + 81824/24633*c_1001_1 + 13344/2737, c_0011_0 - 1, c_0011_10 - 2/3*c_1001_1^3 - 4/3*c_1001_1^2 - 7/3*c_1001_1 - 1, c_0011_7 + 2/3*c_1001_1^3 + 4/3*c_1001_1^2 + 4/3*c_1001_1 + 1, c_0101_0 - 2/3*c_1001_1^3 - 4/3*c_1001_1^2 - 1/3*c_1001_1, c_0101_1 - 2/3*c_1001_1^3 - 4/3*c_1001_1^2 - 4/3*c_1001_1, c_0101_2 - 2/3*c_1001_1^3 - 4/3*c_1001_1^2 - 4/3*c_1001_1 - 1, c_0101_3 + 2/3*c_1001_1^3 + 4/3*c_1001_1^2 + 7/3*c_1001_1 + 2, c_0110_10 - c_1001_1 - 1, c_1001_0 - 2/3*c_1001_1^3 + 2/3*c_1001_1^2 + 2/3*c_1001_1 + 1, c_1001_1^4 + 2*c_1001_1^3 + 7/2*c_1001_1^2 + 3*c_1001_1 + 9/4, c_1001_10 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_10, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2471193626610783/3502728989650*c_1001_10^11 - 7777322446815483/3502728989650*c_1001_10^10 + 4956109343593922/1751364494825*c_1001_10^9 - 5252650126137969/700545797930*c_1001_10^8 + 725815538193911/159214954075*c_1001_10^7 + 49090539133365793/3502728989650*c_1001_10^6 - 199228011161154/16367892475*c_1001_10^5 - 77350646505114663/3502728989650*c_1001_10^4 - 4996796643999859/700545797930*c_1001_10^3 + 883761613519893/184354157350*c_1001_10^2 + 18818755045916723/3502728989650*c_1001_10 + 2435329939520309/1751364494825, c_0011_0 - 1, c_0011_10 - 2059292709/861468025*c_1001_10^11 + 7290124464/861468025*c_1001_10^10 - 10975118607/861468025*c_1001_10^9 + 5145876947/172293605*c_1001_10^8 - 2089053006/78315275*c_1001_10^7 - 32892772144/861468025*c_1001_10^6 + 48465398558/861468025*c_1001_10^5 + 50558814079/861468025*c_1001_10^4 - 721456122/172293605*c_1001_10^3 - 19077188931/861468025*c_1001_10^2 - 5584693889/861468025*c_1001_10 + 1016558621/861468025, c_0011_7 + 977430471/861468025*c_1001_10^11 - 3290183631/861468025*c_1001_10^10 + 4488632468/861468025*c_1001_10^9 - 2161517458/172293605*c_1001_10^8 + 711443039/78315275*c_1001_10^7 + 19520194876/861468025*c_1001_10^6 - 22701496012/861468025*c_1001_10^5 - 28653670641/861468025*c_1001_10^4 + 72521557/34458721*c_1001_10^3 + 9188513509/861468025*c_1001_10^2 + 2639765521/861468025*c_1001_10 - 807187904/861468025, c_0101_0 - 4482305448/861468025*c_1001_10^11 + 15739920858/861468025*c_1001_10^10 - 23124058154/861468025*c_1001_10^9 + 10819687449/172293605*c_1001_10^8 - 4194354032/78315275*c_1001_10^7 - 78227219218/861468025*c_1001_10^6 + 109547246801/861468025*c_1001_10^5 + 113927802338/861468025*c_1001_10^4 - 2275928379/172293605*c_1001_10^3 - 45547338607/861468025*c_1001_10^2 - 13566301433/861468025*c_1001_10 + 1855627537/861468025, c_0101_1 + 2986782771/861468025*c_1001_10^11 - 10679104086/861468025*c_1001_10^10 + 15939806563/861468025*c_1001_10^9 - 7314720588/172293605*c_1001_10^8 + 2951598514/78315275*c_1001_10^7 + 51528016831/861468025*c_1001_10^6 - 77046405307/861468025*c_1001_10^5 - 74805735046/861468025*c_1001_10^4 + 3280430724/172293605*c_1001_10^3 + 33414285774/861468025*c_1001_10^2 + 6620953331/861468025*c_1001_10 - 2341623839/861468025, c_0101_2 - 1014318249/861468025*c_1001_10^11 + 3429997344/861468025*c_1001_10^10 - 4683744437/861468025*c_1001_10^9 + 2259297412/172293605*c_1001_10^8 - 774789141/78315275*c_1001_10^7 - 19913472149/861468025*c_1001_10^6 + 22875170148/861468025*c_1001_10^5 + 30806657009/861468025*c_1001_10^4 - 146893019/172293605*c_1001_10^3 - 13436158111/861468025*c_1001_10^2 - 4173564159/861468025*c_1001_10 + 361633436/861468025, c_0101_3 + 62893092/861468025*c_1001_10^11 - 529216212/861468025*c_1001_10^10 + 1515904111/861468025*c_1001_10^9 - 573031411/172293605*c_1001_10^8 + 496409503/78315275*c_1001_10^7 - 4365055048/861468025*c_1001_10^6 - 3624622024/861468025*c_1001_10^5 + 5350333568/861468025*c_1001_10^4 + 187058418/34458721*c_1001_10^3 + 591102593/861468025*c_1001_10^2 - 1300735358/861468025*c_1001_10 - 348484783/861468025, c_0110_10 + 2059292709/861468025*c_1001_10^11 - 7290124464/861468025*c_1001_10^10 + 10975118607/861468025*c_1001_10^9 - 5145876947/172293605*c_1001_10^8 + 2089053006/78315275*c_1001_10^7 + 32892772144/861468025*c_1001_10^6 - 48465398558/861468025*c_1001_10^5 - 50558814079/861468025*c_1001_10^4 + 721456122/172293605*c_1001_10^3 + 19077188931/861468025*c_1001_10^2 + 5584693889/861468025*c_1001_10 - 1016558621/861468025, c_1001_0 + 1959668583/861468025*c_1001_10^11 - 7134236808/861468025*c_1001_10^10 + 11112598769/861468025*c_1001_10^9 - 5077923914/172293605*c_1001_10^8 + 2182211672/78315275*c_1001_10^7 + 29713355368/861468025*c_1001_10^6 - 50074826756/861468025*c_1001_10^5 - 43507053738/861468025*c_1001_10^4 + 2019172141/172293605*c_1001_10^3 + 16761621792/861468025*c_1001_10^2 + 2752877598/861468025*c_1001_10 - 1287183682/861468025, c_1001_1 + 62893092/861468025*c_1001_10^11 - 529216212/861468025*c_1001_10^10 + 1515904111/861468025*c_1001_10^9 - 573031411/172293605*c_1001_10^8 + 496409503/78315275*c_1001_10^7 - 4365055048/861468025*c_1001_10^6 - 3624622024/861468025*c_1001_10^5 + 5350333568/861468025*c_1001_10^4 + 187058418/34458721*c_1001_10^3 + 591102593/861468025*c_1001_10^2 - 1300735358/861468025*c_1001_10 - 348484783/861468025, c_1001_10^12 - 3*c_1001_10^11 + 10/3*c_1001_10^10 - 28/3*c_1001_10^9 + 4*c_1001_10^8 + 23*c_1001_10^7 - 47/3*c_1001_10^6 - 116/3*c_1001_10^5 - 29/3*c_1001_10^4 + 37/3*c_1001_10^3 + 8*c_1001_10^2 + 2/3*c_1001_10 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB