Magma V2.19-8 Tue Aug 20 2013 23:42:51 on localhost [Seed = 3170556406] Type ? for help. Type -D to quit. Loading file "L13n5938__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5938 geometric_solution 8.95475829 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 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 1 0 -1 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 0.542634096928 0.469994270576 0 4 6 5 0132 2103 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383372026843 0.721035837125 7 0 7 8 0132 0132 3012 0132 1 1 1 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 -1 1 0 -1 0 0 1 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380751810532 1.662774277451 9 10 5 0 0132 0132 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118695043674 0.715432338595 6 1 0 8 0132 2103 0132 1230 1 1 1 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 -1 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 0.130416166053 1.709608424045 10 6 1 3 3120 3201 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069085425326 1.945186011740 4 7 5 1 0132 0321 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326513924316 0.101447015871 2 2 9 6 0132 1230 1230 0321 1 1 0 1 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 0 -1 -1 0 0 1 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196693714589 0.528152128206 4 9 2 10 3012 3120 0132 3120 1 1 1 1 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 1 0 -1 0 0 0 0 0 1 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664241415071 0.484236067766 3 8 10 7 0132 3120 3120 3012 1 1 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 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.399473707610 0.565328398982 8 3 9 5 3120 0132 3120 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.181812666879 1.159620707673 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_0']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_5']), '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_0101_10'], '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_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_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0110_10'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0110_10'], 'c_1100_3' : d['c_0110_10'], 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_0']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], '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_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_8'], 'c_0110_5' : d['c_0110_10'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 281848285392445417/4997573016198480*c_1001_0^10 - 1850572086722364229/4997573016198480*c_1001_0^9 + 3446438829756240181/1665857672066160*c_1001_0^8 + 1249901521339581901/2498786508099240*c_1001_0^7 - 17180247307845012331/9995146032396960*c_1001_0^6 + 4827728142949851109/9995146032396960*c_1001_0^5 + 120836085309603271/55528589068872*c_1001_0^4 + 5689391859506485531/3331715344132320*c_1001_0^3 - 351070826880782113/499757301619848*c_1001_0^2 - 6284192237714089039/9995146032396960*c_1001_0 - 43545741284157478/312348313512405, c_0011_0 - 1, c_0011_10 - 1761930208761/18509529689624*c_1001_0^10 + 13906991381965/18509529689624*c_1001_0^9 - 79728455380999/18509529689624*c_1001_0^8 + 34104678378599/9254764844812*c_1001_0^7 + 172471446157979/37019059379248*c_1001_0^6 - 195030435023677/37019059379248*c_1001_0^5 - 15882471173557/9254764844812*c_1001_0^4 + 94355020073311/37019059379248*c_1001_0^3 + 40019595347799/9254764844812*c_1001_0^2 + 6259443181711/37019059379248*c_1001_0 - 2830658419963/4627382422406, c_0011_4 - 227182465809/9254764844812*c_1001_0^10 + 2577362093049/9254764844812*c_1001_0^9 - 16657315706787/9254764844812*c_1001_0^8 + 22971673625505/4627382422406*c_1001_0^7 - 58785442275309/18509529689624*c_1001_0^6 - 67062063958833/18509529689624*c_1001_0^5 + 7632512685226/2313691211203*c_1001_0^4 + 27029758437199/18509529689624*c_1001_0^3 + 1535206064904/2313691211203*c_1001_0^2 - 84998422558193/18509529689624*c_1001_0 + 475371714621/4627382422406, c_0011_5 - 1709572844045/18509529689624*c_1001_0^10 + 13035045868321/18509529689624*c_1001_0^9 - 74114139746643/18509529689624*c_1001_0^8 + 24216052696147/9254764844812*c_1001_0^7 + 167512666404535/37019059379248*c_1001_0^6 - 105524848737681/37019059379248*c_1001_0^5 - 28176752649841/9254764844812*c_1001_0^4 + 65702188636667/37019059379248*c_1001_0^3 + 53357408717119/9254764844812*c_1001_0^2 + 26912335045035/37019059379248*c_1001_0 - 534415015815/4627382422406, c_0011_8 - 454175492799/4627382422406*c_1001_0^10 + 3546815280463/4627382422406*c_1001_0^9 - 20201522146153/4627382422406*c_1001_0^8 + 7785183514407/2313691211203*c_1001_0^7 + 50372086332149/9254764844812*c_1001_0^6 - 41571398075487/9254764844812*c_1001_0^5 - 7598543704599/2313691211203*c_1001_0^4 + 15392618535833/9254764844812*c_1001_0^3 + 13712806113506/2313691211203*c_1001_0^2 + 1564202400553/9254764844812*c_1001_0 - 1994213646553/2313691211203, c_0101_0 - 1, c_0101_1 + 5011285754713/18509529689624*c_1001_0^10 - 40931281120501/18509529689624*c_1001_0^9 + 238255373424287/18509529689624*c_1001_0^8 - 130880015033931/9254764844812*c_1001_0^7 - 318508949584315/37019059379248*c_1001_0^6 + 587874226291925/37019059379248*c_1001_0^5 + 9610923193975/9254764844812*c_1001_0^4 - 223030773247023/37019059379248*c_1001_0^3 - 112209459679273/9254764844812*c_1001_0^2 + 114271938264369/37019059379248*c_1001_0 + 1038585774680/2313691211203, c_0101_10 - 148448619021/9254764844812*c_1001_0^10 + 886708281353/9254764844812*c_1001_0^9 - 4228543071083/9254764844812*c_1001_0^8 - 4521577102977/4627382422406*c_1001_0^7 + 58672179944455/18509529689624*c_1001_0^6 - 10042023981289/18509529689624*c_1001_0^5 - 11336224238963/4627382422406*c_1001_0^4 + 16032172159627/18509529689624*c_1001_0^3 + 6914349601343/4627382422406*c_1001_0^2 + 11618183168051/18509529689624*c_1001_0 - 1767031180744/2313691211203, c_0101_3 + 147218355237/2313691211203*c_1001_0^10 - 1361540257331/2313691211203*c_1001_0^9 + 8200176719833/2313691211203*c_1001_0^8 - 14451560767496/2313691211203*c_1001_0^7 - 2028083976823/4627382422406*c_1001_0^6 + 37186109175943/4627382422406*c_1001_0^5 - 4910844680079/2313691211203*c_1001_0^4 - 18820057727827/4627382422406*c_1001_0^3 - 5112422705379/2313691211203*c_1001_0^2 + 20977826519217/4627382422406*c_1001_0 + 3540849286038/2313691211203, c_0110_10 + 840995082797/18509529689624*c_1001_0^10 - 7736228707489/18509529689624*c_1001_0^9 + 46274742615203/18509529689624*c_1001_0^8 - 39390799278355/9254764844812*c_1001_0^7 - 36632793273495/37019059379248*c_1001_0^6 + 227154452223889/37019059379248*c_1001_0^5 - 8136200060835/9254764844812*c_1001_0^4 - 147505166093755/37019059379248*c_1001_0^3 - 12281305863275/9254764844812*c_1001_0^2 + 128709914491797/37019059379248*c_1001_0 + 9638668177119/4627382422406, c_1001_0^11 - 8*c_1001_0^10 + 46*c_1001_0^9 - 43*c_1001_0^8 - 95/2*c_1001_0^7 + 55*c_1001_0^6 + 53/2*c_1001_0^5 - 51/2*c_1001_0^4 - 119/2*c_1001_0^3 + 13/2*c_1001_0^2 + 29/2*c_1001_0 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB