Magma V2.19-8 Tue Aug 20 2013 23:53:05 on localhost [Seed = 3819276319] Type ? for help. Type -D to quit. Loading file "L13n4632__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4632 geometric_solution 10.53973686 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3201 0 1 0 1 0 0 0 0 0 0 -1 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 1 -1 0 1 0 5 -6 0 -1 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324639307539 1.061738338649 0 4 6 5 0132 0132 0132 0132 0 1 1 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 2 -2 -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 0.685720206198 0.648497445511 7 0 8 6 0132 0132 0132 2310 0 0 1 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 1 0 0 0 0 0 -5 5 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676715858540 0.460024320006 9 0 7 0 0132 2310 0321 0132 0 1 1 0 0 0 0 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 -1 0 1 0 0 5 -5 -1 6 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.223306263667 1.341503198575 8 1 10 11 0213 0132 0132 0132 0 0 0 1 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 0.427665498398 0.375621541043 9 8 1 10 2103 0213 0132 1230 0 1 0 1 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 -1 2 -1 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 1.386396065311 0.961394672093 2 11 9 1 3201 1302 0132 0132 0 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737354206405 0.403341003688 2 9 3 11 0132 2103 0321 2310 0 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 -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 2 0 0 -2 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.169130152672 0.476119413193 4 10 5 2 0213 0132 0213 0132 0 0 0 1 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 1 -1 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 0.628602269849 0.555116620576 3 7 5 6 0132 2103 2103 0132 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 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 0.934572159381 0.779062190775 5 8 11 4 3012 0132 3012 0132 0 0 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 0 0 0 0 0 0 1 0 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 0.784931007671 0.787477132996 7 10 4 6 3201 1230 0132 2031 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 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756143415518 0.636782149513 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_4'], 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_11']), '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_0011_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_11, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 26665833162767962189835199539/52530225437348233702400*c_1001_4^11 - 1036374274421376606135554544087/52530225437348233702400*c_1001_4^10 + 460635412266943798646834917563/10506045087469646740480*c_1001_4^9 - 988414124025664313362137384543/13132556359337058425600*c_1001_4^8 + 361345238752244255760618156333/3752158959810588121600*c_1001_4^7 - 787981135724395513078059367897/7504317919621176243200*c_1001_4^6 + 46012249165618266424200302789/577255224586244326400*c_1001_4^5 - 307963615603115235304022432973/4040786572103710284800*c_1001_4^4 + 2295768159520804842393215749769/52530225437348233702400*c_1001_4^3 - 363369643836470587344620405269/13132556359337058425600*c_1001_4^2 + 357824727501680988614349917433/26265112718674116851200*c_1001_4 - 154093137331235362263590339561/52530225437348233702400, c_0011_0 - 1, c_0011_10 - 7957004227/50822193484*c_1001_4^11 - 304614875107/50822193484*c_1001_4^10 + 866737659965/50822193484*c_1001_4^9 - 401778931720/12705548371*c_1001_4^8 + 1140228922627/25411096742*c_1001_4^7 - 2566217808739/50822193484*c_1001_4^6 + 2191647550307/50822193484*c_1001_4^5 - 1881855416731/50822193484*c_1001_4^4 + 1266224816137/50822193484*c_1001_4^3 - 177837000909/12705548371*c_1001_4^2 + 105986975459/12705548371*c_1001_4 - 95620636999/50822193484, c_0011_11 + 8579236241/50822193484*c_1001_4^11 + 330204029755/50822193484*c_1001_4^10 - 867654817137/50822193484*c_1001_4^9 + 376335787773/12705548371*c_1001_4^8 - 1054621318217/25411096742*c_1001_4^7 + 2388858610125/50822193484*c_1001_4^6 - 2047741718747/50822193484*c_1001_4^5 + 1796586672943/50822193484*c_1001_4^4 - 1263685915979/50822193484*c_1001_4^3 + 312167410443/25411096742*c_1001_4^2 - 98077532762/12705548371*c_1001_4 + 120551134359/50822193484, c_0011_3 + 18829179891/50822193484*c_1001_4^11 + 722538890739/50822193484*c_1001_4^10 - 1989798645007/50822193484*c_1001_4^9 + 863682636585/12705548371*c_1001_4^8 - 2321846818303/25411096742*c_1001_4^7 + 5187598814891/50822193484*c_1001_4^6 - 4363043727287/50822193484*c_1001_4^5 + 3747318291161/50822193484*c_1001_4^4 - 2656766883041/50822193484*c_1001_4^3 + 348591102756/12705548371*c_1001_4^2 - 404261347935/25411096742*c_1001_4 + 209546628265/50822193484, c_0011_6 + 2854144873/25411096742*c_1001_4^11 + 54128006958/12705548371*c_1001_4^10 - 174860361056/12705548371*c_1001_4^9 + 339311556987/12705548371*c_1001_4^8 - 473656771444/12705548371*c_1001_4^7 + 1042155969387/25411096742*c_1001_4^6 - 449449939529/12705548371*c_1001_4^5 + 357341829959/12705548371*c_1001_4^4 - 475559637245/25411096742*c_1001_4^3 + 273238796337/25411096742*c_1001_4^2 - 72203854063/12705548371*c_1001_4 + 13958903966/12705548371, c_0101_0 - 1, c_0101_1 + 1246524868/12705548371*c_1001_4^11 + 95047005975/25411096742*c_1001_4^10 - 143185695498/12705548371*c_1001_4^9 + 277745756271/12705548371*c_1001_4^8 - 421838051971/12705548371*c_1001_4^7 + 505264528233/12705548371*c_1001_4^6 - 926344310603/25411096742*c_1001_4^5 + 392482570138/12705548371*c_1001_4^4 - 290566557435/12705548371*c_1001_4^3 + 322872866023/25411096742*c_1001_4^2 - 202581175097/25411096742*c_1001_4 + 31353115498/12705548371, c_0101_11 + 30451938455/50822193484*c_1001_4^11 + 1166744476575/50822193484*c_1001_4^10 - 3284763822083/50822193484*c_1001_4^9 + 1466392357789/12705548371*c_1001_4^8 - 4050610266515/25411096742*c_1001_4^7 + 9089153854263/50822193484*c_1001_4^6 - 7717333295083/50822193484*c_1001_4^5 + 6571241385201/50822193484*c_1001_4^4 - 4682030579373/50822193484*c_1001_4^3 + 643874996550/12705548371*c_1001_4^2 - 779598408361/25411096742*c_1001_4 + 404893849969/50822193484, c_0101_3 + 13904783685/25411096742*c_1001_4^11 + 266529214605/12705548371*c_1001_4^10 - 745187913146/12705548371*c_1001_4^9 + 1278907394795/12705548371*c_1001_4^8 - 1722052919759/12705548371*c_1001_4^7 + 3835177681571/25411096742*c_1001_4^6 - 1586959368359/12705548371*c_1001_4^5 + 1341711064879/12705548371*c_1001_4^4 - 1943883283111/25411096742*c_1001_4^3 + 1004677028175/25411096742*c_1001_4^2 - 291686742954/12705548371*c_1001_4 + 77331347872/12705548371, c_0110_11 + 26088070997/50822193484*c_1001_4^11 + 1002239619273/50822193484*c_1001_4^10 - 2712938197263/50822193484*c_1001_4^9 + 1163203457571/12705548371*c_1001_4^8 - 3121326558163/25411096742*c_1001_4^7 + 6890736542717/50822193484*c_1001_4^6 - 5720738842317/50822193484*c_1001_4^5 + 4916042360861/50822193484*c_1001_4^4 - 3517225449475/50822193484*c_1001_4^3 + 460685267851/12705548371*c_1001_4^2 - 267893625564/12705548371*c_1001_4 + 253589691853/50822193484, c_1001_1 + 8579236241/50822193484*c_1001_4^11 + 330204029755/50822193484*c_1001_4^10 - 867654817137/50822193484*c_1001_4^9 + 376335787773/12705548371*c_1001_4^8 - 1054621318217/25411096742*c_1001_4^7 + 2388858610125/50822193484*c_1001_4^6 - 2047741718747/50822193484*c_1001_4^5 + 1796586672943/50822193484*c_1001_4^4 - 1263685915979/50822193484*c_1001_4^3 + 337578507185/25411096742*c_1001_4^2 - 110783081133/12705548371*c_1001_4 + 120551134359/50822193484, c_1001_4^12 + 38*c_1001_4^11 - 120*c_1001_4^10 + 223*c_1001_4^9 - 318*c_1001_4^8 + 371*c_1001_4^7 - 336*c_1001_4^6 + 286*c_1001_4^5 - 216*c_1001_4^4 + 129*c_1001_4^3 - 74*c_1001_4^2 + 29*c_1001_4 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB