Magma V2.19-8 Wed Aug 21 2013 00:14:48 on localhost [Seed = 947803315] Type ? for help. Type -D to quit. Loading file "K13n4269__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4269 geometric_solution 12.39219627 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 -1 0 1 1 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 0.307848702690 0.990298506400 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 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 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 0.548507552071 0.452187872401 0 0 8 7 3012 0132 0132 0132 0 0 0 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 -1 0 -1 0 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 0.474152696228 0.678396051131 5 9 10 0 1023 0132 0132 0132 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 -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 0.329191124705 1.339636521595 6 1 10 7 0321 0132 1302 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582056664879 0.576726742903 5 3 1 5 3201 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397285510020 0.744291654558 4 11 9 1 0321 0132 3201 0132 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 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 0.375063247280 1.042762694423 11 12 2 4 2031 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 0.480395783807 0.631249036418 9 12 11 2 3012 0213 2103 0132 0 0 0 0 0 0 0 0 0 0 1 -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 -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 -0.081820145246 1.246410014918 6 3 12 8 2310 0132 0132 1230 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 1 0 0 -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 0.826292326797 0.994251554163 4 12 11 3 2031 2031 0132 0132 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 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 0.512287665064 0.395658599932 8 6 7 10 2103 0132 1302 0132 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 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 0.545871500069 0.653362220566 10 7 8 9 1302 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701035797092 0.664902802942 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_7'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0110_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], '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_12' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0110_7'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0110_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_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'], 'c_1100_12' : d['c_0101_2'], '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_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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_0101_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], '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' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_0110_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 2007271898817903006515199835343/31010528624791127296901567657540*c_\ 1001_0^15 - 1043234195457937201790908115767/31010528624791127296901\ 567657540*c_1001_0^14 + 32485123019483716152843610246/1550526431239\ 556364845078382877*c_1001_0^13 - 55113979551392717444500176853857/3\ 1010528624791127296901567657540*c_1001_0^12 - 68701930832686134598565742923507/15505264312395563648450783828770*c\ _1001_0^11 + 1449675091558341294792080432815/1550526431239556364845\ 078382877*c_1001_0^10 + 28754353729463874545162009779263/4430075517\ 827303899557366808220*c_1001_0^9 - 14630675817513538777706914809087/1550526431239556364845078382877*c_\ 1001_0^8 - 517052249286680930260249961654139/3101052862479112729690\ 1567657540*c_1001_0^7 + 35767980923022015269539377178205/6202105724\ 958225459380313531508*c_1001_0^6 - 10659330314926215679291297007113/2215037758913651949778683404110*c_\ 1001_0^5 - 42233849325650167624229739347218/15505264312395563648450\ 78382877*c_1001_0^4 - 56708719506586182670407690817153/443007551782\ 7303899557366808220*c_1001_0^3 + 27976397196726221909726698806597/1\ 5505264312395563648450783828770*c_1001_0^2 + 1518354663850404324914188375339/1107518879456825974889341702055*c_1\ 001_0 - 51873395229104709398908592949955/62021057249582254593803135\ 31508, c_0011_0 - 1, c_0011_10 + 433140321950228501425/75012615075133316980253*c_1001_0^15 + 1164929433935236986881/150025230150266633960506*c_1001_0^14 - 20072794066416528242/75012615075133316980253*c_1001_0^13 + 11859128112883029874834/75012615075133316980253*c_1001_0^12 + 78112723909361225116421/150025230150266633960506*c_1001_0^11 + 33345274168946192247575/150025230150266633960506*c_1001_0^10 - 101209677568556227019115/150025230150266633960506*c_1001_0^9 + 23840688127503776056649/75012615075133316980253*c_1001_0^8 + 149041595457819650157517/75012615075133316980253*c_1001_0^7 + 94577330215974741583067/150025230150266633960506*c_1001_0^6 + 9256403871201773095629/75012615075133316980253*c_1001_0^5 + 179956463325632081995698/75012615075133316980253*c_1001_0^4 + 175033829259438922045250/75012615075133316980253*c_1001_0^3 + 42244704841106955353507/150025230150266633960506*c_1001_0^2 - 91402703451409571375411/150025230150266633960506*c_1001_0 + 69189849653890590319693/150025230150266633960506, c_0011_11 + 433140321950228501425/75012615075133316980253*c_1001_0^15 + 1164929433935236986881/150025230150266633960506*c_1001_0^14 - 20072794066416528242/75012615075133316980253*c_1001_0^13 + 11859128112883029874834/75012615075133316980253*c_1001_0^12 + 78112723909361225116421/150025230150266633960506*c_1001_0^11 + 33345274168946192247575/150025230150266633960506*c_1001_0^10 - 101209677568556227019115/150025230150266633960506*c_1001_0^9 + 23840688127503776056649/75012615075133316980253*c_1001_0^8 + 149041595457819650157517/75012615075133316980253*c_1001_0^7 + 94577330215974741583067/150025230150266633960506*c_1001_0^6 + 9256403871201773095629/75012615075133316980253*c_1001_0^5 + 179956463325632081995698/75012615075133316980253*c_1001_0^4 + 175033829259438922045250/75012615075133316980253*c_1001_0^3 + 42244704841106955353507/150025230150266633960506*c_1001_0^2 - 91402703451409571375411/150025230150266633960506*c_1001_0 + 69189849653890590319693/150025230150266633960506, c_0011_12 + 1465648780769257368821/300050460300533267921012*c_1001_0^15 + 477856725273661004295/300050460300533267921012*c_1001_0^14 - 290695507756781411572/75012615075133316980253*c_1001_0^13 + 39712214256246079487815/300050460300533267921012*c_1001_0^12 + 23117517269415811073475/75012615075133316980253*c_1001_0^11 - 27205117509922386065473/150025230150266633960506*c_1001_0^10 - 190173078718527862425557/300050460300533267921012*c_1001_0^9 + 57135009875498688242472/75012615075133316980253*c_1001_0^8 + 411010877741394073856949/300050460300533267921012*c_1001_0^7 - 210438129304174201390821/300050460300533267921012*c_1001_0^6 - 22952345070669333910903/150025230150266633960506*c_1001_0^5 + 138785075287950967117218/75012615075133316980253*c_1001_0^4 + 160560038603674181985977/300050460300533267921012*c_1001_0^3 - 66421322442662339685171/75012615075133316980253*c_1001_0^2 - 28291473820929206066663/150025230150266633960506*c_1001_0 + 231660144000494706736559/300050460300533267921012, c_0011_3 - 1958762140085677440033/300050460300533267921012*c_1001_0^15 - 1641549176801636214985/300050460300533267921012*c_1001_0^14 - 310486277738812382170/75012615075133316980253*c_1001_0^13 - 52765595383975739296291/300050460300533267921012*c_1001_0^12 - 75723881091006027381699/150025230150266633960506*c_1001_0^11 - 14000518987940839280129/75012615075133316980253*c_1001_0^10 + 144491481096109913280187/300050460300533267921012*c_1001_0^9 - 33275256620523897281978/75012615075133316980253*c_1001_0^8 - 506920126053345147039973/300050460300533267921012*c_1001_0^7 - 217558816769294892350321/300050460300533267921012*c_1001_0^6 - 75196223036296968313991/150025230150266633960506*c_1001_0^5 - 173088669577791532541688/75012615075133316980253*c_1001_0^4 - 895814735964748495139273/300050460300533267921012*c_1001_0^3 - 45405123024985295869167/150025230150266633960506*c_1001_0^2 + 27805223531358318257538/75012615075133316980253*c_1001_0 - 166907706034924026913609/300050460300533267921012, c_0101_0 + 2432674866096710413475/300050460300533267921012*c_1001_0^15 + 3134061552232200290397/300050460300533267921012*c_1001_0^14 + 468208692429067208077/75012615075133316980253*c_1001_0^13 + 66656364577618499965309/300050460300533267921012*c_1001_0^12 + 54674531183821423275146/75012615075133316980253*c_1001_0^11 + 68708954113036713243903/150025230150266633960506*c_1001_0^10 - 166860289177423814643611/300050460300533267921012*c_1001_0^9 + 39497518865628408758638/75012615075133316980253*c_1001_0^8 + 773362049069488405713791/300050460300533267921012*c_1001_0^7 + 384249392395110475154109/300050460300533267921012*c_1001_0^6 + 165824533927152959519873/150025230150266633960506*c_1001_0^5 + 343167397555620307577512/75012615075133316980253*c_1001_0^4 + 1523339743999028714645695/300050460300533267921012*c_1001_0^3 + 85830158391633174035088/75012615075133316980253*c_1001_0^2 + 143980375051083899002989/150025230150266633960506*c_1001_0 + 500777605082559675384641/300050460300533267921012, c_0101_10 + 235402395496054330483/300050460300533267921012*c_1001_0^15 + 319932300440822385875/300050460300533267921012*c_1001_0^14 + 12615519531408249642/75012615075133316980253*c_1001_0^13 + 6792892877995287101981/300050460300533267921012*c_1001_0^12 + 11297819652269912546657/150025230150266633960506*c_1001_0^11 + 2539896941100230586898/75012615075133316980253*c_1001_0^10 - 14184807954962251620973/300050460300533267921012*c_1001_0^9 + 15523808758891113437743/75012615075133316980253*c_1001_0^8 + 114804823445727702278595/300050460300533267921012*c_1001_0^7 - 53711151589563866926537/300050460300533267921012*c_1001_0^6 - 13630864372614050212537/150025230150266633960506*c_1001_0^5 + 76965699288414588939178/75012615075133316980253*c_1001_0^4 + 249281232226433903593287/300050460300533267921012*c_1001_0^3 + 57911119894833900857285/150025230150266633960506*c_1001_0^2 + 84511293366527615625335/75012615075133316980253*c_1001_0 + 275978290551223238563819/300050460300533267921012, c_0101_2 + 81977696187344731085/150025230150266633960506*c_1001_0^15 + 84068303515185349909/75012615075133316980253*c_1001_0^14 - 155989108252765342741/75012615075133316980253*c_1001_0^13 + 1832475605024026295627/150025230150266633960506*c_1001_0^12 + 8907487169852407286421/150025230150266633960506*c_1001_0^11 - 1885272894182017881629/150025230150266633960506*c_1001_0^10 - 19622556773802454568006/75012615075133316980253*c_1001_0^9 - 6295627672031192135815/75012615075133316980253*c_1001_0^8 + 75024173032361140821939/150025230150266633960506*c_1001_0^7 + 9734896759225090163381/75012615075133316980253*c_1001_0^6 - 48422320230482740725553/75012615075133316980253*c_1001_0^5 - 2011310883668667818401/75012615075133316980253*c_1001_0^4 + 8915823001939192670771/150025230150266633960506*c_1001_0^3 - 155461373608705090769823/150025230150266633960506*c_1001_0^2 - 119285016435063220043881/150025230150266633960506*c_1001_0 - 13740649916292957200548/75012615075133316980253, c_0101_3 - 1155944680302848976297/150025230150266633960506*c_1001_0^15 - 1830313616399317584381/150025230150266633960506*c_1001_0^14 - 510694038046933070732/75012615075133316980253*c_1001_0^13 - 32175263120153168833937/150025230150266633960506*c_1001_0^12 - 56572576120703176614694/75012615075133316980253*c_1001_0^11 - 43960853867592669335809/75012615075133316980253*c_1001_0^10 + 71395743684575358018839/150025230150266633960506*c_1001_0^9 - 36290046531299210166921/75012615075133316980253*c_1001_0^8 - 403586338480083422381471/150025230150266633960506*c_1001_0^7 - 215640425735721630190605/150025230150266633960506*c_1001_0^6 - 76373224271302106689345/75012615075133316980253*c_1001_0^5 - 366483510694000503162707/75012615075133316980253*c_1001_0^4 - 772316816436485943154899/150025230150266633960506*c_1001_0^3 - 113885737215267918179324/75012615075133316980253*c_1001_0^2 - 102203920292513362041383/75012615075133316980253*c_1001_0 - 285259766477504926021845/150025230150266633960506, c_0101_7 + 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2*c_1001_0^15 + c_1001_0^14 + 27*c_1001_0^13 + 109*c_1001_0^12 + 102*c_1001_0^11 - 91*c_1001_0^10 - 23*c_1001_0^9 + 429*c_1001_0^8 + 382*c_1001_0^7 + 35*c_1001_0^6 + 470*c_1001_0^5 + 917*c_1001_0^4 + 403*c_1001_0^3 - 70*c_1001_0^2 + 125*c_1001_0 + 245 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.230 Total time: 6.440 seconds, Total memory usage: 64.12MB