Magma V2.19-8 Tue Aug 20 2013 23:47:36 on localhost [Seed = 374373447] Type ? for help. Type -D to quit. Loading file "L11a188__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a188 geometric_solution 10.59867226 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 1 1 1 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 1 -1 0 0 0 0 0 -10 0 0 10 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107784113631 0.933950849422 0 4 5 4 0132 0132 0132 1230 1 1 0 1 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 -1 1 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534801134281 0.559817395391 0 0 6 4 2031 0132 0132 0132 1 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 0 0 0 0 -1 0 1 1 0 -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 0.878055937460 1.056647004408 7 8 0 5 0132 0132 0132 3201 1 1 1 1 0 0 0 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 0 0 0 9 0 0 -9 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776423399924 0.798943347632 1 1 2 7 3012 0132 0132 3012 1 1 1 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 -1 1 0 0 0 0 0 10 0 -10 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.878055937460 1.056647004408 6 3 9 1 0321 2310 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374429119720 0.643715392042 5 7 10 2 0321 0321 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 -1 1 9 -9 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343254803179 0.496829609018 3 8 4 6 0132 0321 1230 0321 1 1 1 1 0 0 0 0 1 0 -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 -9 0 10 -1 0 -9 0 9 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.968430887616 0.732620720462 10 3 9 7 0213 0132 2310 0321 1 1 1 1 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 1 0 0 -1 1 -10 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908976195652 0.733559127705 10 8 11 5 2310 3201 0132 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 1.819925457358 0.416003522037 8 11 9 6 0213 0213 3201 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 -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 -0.080652079635 0.661368084301 11 11 10 9 1302 2031 0213 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 0.717691475931 0.572597571122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0110_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0011_3']), '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_1100_9' : d['c_0110_4'], 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_4'], 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_2'], '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_5']), '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_9'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_5, c_0011_6, c_0011_9, c_0101_4, c_0101_7, c_0101_9, c_0110_4, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 79038291161291101011030348/5961285377730138275735271865*c_1001_5^15 + 1460888372174625204668701258/5961285377730138275735271865*c_1001_\ 5^14 - 11469706976602566611260026843/5961285377730138275735271865*c\ _1001_5^13 + 51140217297075230125650225579/596128537773013827573527\ 1865*c_1001_5^12 - 146003544625784891309170178777/59612853777301382\ 75735271865*c_1001_5^11 + 55757344020357485124546315965/11922570755\ 46027655147054373*c_1001_5^10 - 65268303788791693447651328619/11922\ 57075546027655147054373*c_1001_5^9 + 61568418755131648832043309246/5961285377730138275735271865*c_1001_5\ ^8 + 682488086240194154806508737258/5961285377730138275735271865*c_\ 1001_5^7 - 350834903876466677174965688820/1192257075546027655147054\ 373*c_1001_5^6 + 2632119554034574978829306357811/596128537773013827\ 5735271865*c_1001_5^5 - 555483836438760454185564164439/119225707554\ 6027655147054373*c_1001_5^4 + 2107646230259638198649096348337/59612\ 85377730138275735271865*c_1001_5^3 - 1104874721285842723121970111428/5961285377730138275735271865*c_1001\ _5^2 + 349480263771827311785730442034/5961285377730138275735271865*\ c_1001_5 - 7281005854025451301314185658/119225707554602765514705437\ 3, c_0011_0 - 1, c_0011_10 + 189882230916581589988056/208691943907934124828821*c_1001_5^\ 15 - 2666580687257660014316940/208691943907934124828821*c_1001_5^14 + 16669631993556769117308954/208691943907934124828821*c_1001_5^13 - 63102061944634979627095620/208691943907934124828821*c_1001_5^12 + 163482311860726695825671324/208691943907934124828821*c_1001_5^11 - 297750790020939220163529426/208691943907934124828821*c_1001_5^10 + 345360732658354449854406812/208691943907934124828821*c_1001_5^9 - 84892321999521132672870718/208691943907934124828821*c_1001_5^8 - 669067813117757879341284640/208691943907934124828821*c_1001_5^7 + 1832689907620385759946917844/208691943907934124828821*c_1001_5^6 - 2948880694949237221493432050/208691943907934124828821*c_1001_5^5 + 3420387106879687346047243636/208691943907934124828821*c_1001_5^4 - 2963338066676332956384627740/208691943907934124828821*c_1001_5^3 + 1878607886745322495568703881/208691943907934124828821*c_1001_5^2 - 809827241523255238244110389/208691943907934124828821*c_1001_5 + 187732592959261832966150641/208691943907934124828821, c_0011_3 + 98472150744919715265384/208691943907934124828821*c_1001_5^15 - 1383442180652998919371228/208691943907934124828821*c_1001_5^14 + 8651020170994302553899498/208691943907934124828821*c_1001_5^13 - 32750606766582530312040850/208691943907934124828821*c_1001_5^12 + 84824908375397974262193052/208691943907934124828821*c_1001_5^11 - 154365608620469179454344454/208691943907934124828821*c_1001_5^10 + 178677691735654040540718018/208691943907934124828821*c_1001_5^9 - 42906996123166881592672645/208691943907934124828821*c_1001_5^8 - 348632896752371801957191835/208691943907934124828821*c_1001_5^7 + 951400423021756515563657620/208691943907934124828821*c_1001_5^6 - 1527515158644085034086150841/208691943907934124828821*c_1001_5^5 + 1767920672871598744426528999/208691943907934124828821*c_1001_5^4 - 1527763555630120395338055583/208691943907934124828821*c_1001_5^3 + 965355279185265723982328170/208691943907934124828821*c_1001_5^2 - 414247271591190990561656107/208691943907934124828821*c_1001_5 + 95455470952854854092452343/208691943907934124828821, c_0011_5 - 317777251679821887096264/208691943907934124828821*c_1001_5^1\ 5 + 4464699137811638668621580/208691943907934124828821*c_1001_5^14 - 27922894864906914741876314/208691943907934124828821*c_1001_5^13 + 105741513857504659857284702/208691943907934124828821*c_1001_5^12 - 274026421393781533486022662/208691943907934124828821*c_1001_5^11 + 499154583486546698098258376/208691943907934124828821*c_1001_5^10 - 578912431946234819441179852/208691943907934124828821*c_1001_5^9 + 141916763151024945041458452/208691943907934124828821*c_1001_5^8 + 1122562905132098641682603246/208691943907934124828821*c_1001_5^7 - 3073196815413016587980611067/208691943907934124828821*c_1001_5^6 + 4942617912683683668962045953/208691943907934124828821*c_1001_5^5 - 5729749962159968586930725795/208691943907934124828821*c_1001_5^4 + 4960475663725544454092458770/208691943907934124828821*c_1001_5^3 - 3141741757328659857357341619/208691943907934124828821*c_1001_5^2 + 1352564602323596596051579988/208691943907934124828821*c_1001_5 - 313079111416634399669830967/208691943907934124828821, c_0011_6 + 1, c_0011_9 - 244848482974398401538820/208691943907934124828821*c_1001_5^1\ 5 + 3445153430169415330399290/208691943907934124828821*c_1001_5^14 - 21581621789785231307530723/208691943907934124828821*c_1001_5^13 + 81862771013581599253360720/208691943907934124828821*c_1001_5^12 - 212500860568277868567542984/208691943907934124828821*c_1001_5^11 + 387861882273283059617157649/208691943907934124828821*c_1001_5^10 - 451417867278680590179811294/208691943907934124828821*c_1001_5^9 + 114376493919786606256599185/208691943907934124828821*c_1001_5^8 + 866574525012406083508246082/208691943907934124828821*c_1001_5^7 - 2384533999494312914026614112/208691943907934124828821*c_1001_5^6 + 3844416882976159794930640113/208691943907934124828821*c_1001_5^5 - 4465315458005735502359963866/208691943907934124828821*c_1001_5^4 + 3873161708895588682498776194/208691943907934124828821*c_1001_5^3 - 2458057654092009958744024730/208691943907934124828821*c_1001_5^2 + 1060760574712987627436561881/208691943907934124828821*c_1001_5 - 246355038938035959613676922/208691943907934124828821, c_0101_4 - 160142490142919709508920/208691943907934124828821*c_1001_5^1\ 5 + 2245911366966375927296100/208691943907934124828821*c_1001_5^14 - 14022636762333044433201742/208691943907934124828821*c_1001_5^13 + 53032730624888989762814534/208691943907934124828821*c_1001_5^12 - 137305544117586604698775370/208691943907934124828821*c_1001_5^11 + 249918148838072194144763726/208691943907934124828821*c_1001_5^10 - 289588082275910548742075408/208691943907934124828821*c_1001_5^9 + 70505586059668459498184554/208691943907934124828821*c_1001_5^8 + 562670115236228803268473899/208691943907934124828821*c_1001_5^7 - 1539062574924792156279941611/208691943907934124828821*c_1001_5^6 + 2474817477358852803508270242/208691943907934124828821*c_1001_5^5 - 2869036744833644847646956540/208691943907934124828821*c_1001_5^4 + 2484258123476209877727124331/208691943907934124828821*c_1001_5^3 - 1573924900829846710158269427/208691943907934124828821*c_1001_5^2 + 677850813496116093923690295/208691943907934124828821*c_1001_5 - 156857758213061555512976655/208691943907934124828821, c_0101_7 + 317777251679821887096264/208691943907934124828821*c_1001_5^1\ 5 - 4464699137811638668621580/208691943907934124828821*c_1001_5^14 + 27922894864906914741876314/208691943907934124828821*c_1001_5^13 - 105741513857504659857284702/208691943907934124828821*c_1001_5^12 + 274026421393781533486022662/208691943907934124828821*c_1001_5^11 - 499154583486546698098258376/208691943907934124828821*c_1001_5^10 + 578912431946234819441179852/208691943907934124828821*c_1001_5^9 - 141916763151024945041458452/208691943907934124828821*c_1001_5^8 - 1122562905132098641682603246/208691943907934124828821*c_1001_5^7 + 3073196815413016587980611067/208691943907934124828821*c_1001_5^6 - 4942617912683683668962045953/208691943907934124828821*c_1001_5^5 + 5729749962159968586930725795/208691943907934124828821*c_1001_5^4 - 4960475663725544454092458770/208691943907934124828821*c_1001_5^3 + 3141741757328659857357341619/208691943907934124828821*c_1001_5^2 - 1352564602323596596051579988/208691943907934124828821*c_1001_5 + 313079111416634399669830967/208691943907934124828821, c_0101_9 - 281126907179321306488472/208691943907934124828821*c_1001_5^1\ 5 + 3949122644079644816290172/208691943907934124828821*c_1001_5^14 - 24695834152724567733578938/208691943907934124828821*c_1001_5^13 + 93517694192555833205988516/208691943907934124828821*c_1001_5^12 - 242350126524552799840496086/208691943907934124828821*c_1001_5^11 + 441466093617275875001831968/208691943907934124828821*c_1001_5^10 - 512045727677514528673306067/208691943907934124828821*c_1001_5^9 + 125587696792160339107402288/208691943907934124828821*c_1001_5^8 + 992856778489183112534402426/208691943907934124828821*c_1001_5^7 - 2718346579535357901141788235/208691943907934124828821*c_1001_5^6 + 4372011136309552758035736947/208691943907934124828821*c_1001_5^5 - 5067864952532385591158806497/208691943907934124828821*c_1001_5^4 + 4386494122787845922627023276/208691943907934124828821*c_1001_5^3 - 2776909762070431259086300399/208691943907934124828821*c_1001_5^2 + 1194396025607404035002041997/208691943907934124828821*c_1001_5 - 276046345778847371352366399/208691943907934124828821, c_0110_4 - 157634761536902177587344/208691943907934124828821*c_1001_5^1\ 5 + 2218787770845262741325480/208691943907934124828821*c_1001_5^14 - 13900258102573870308674572/208691943907934124828821*c_1001_5^13 + 52708783232615670094470168/208691943907934124828821*c_1001_5^12 - 136720877276194928787247292/208691943907934124828821*c_1001_5^11 + 249236434648474503953494650/208691943907934124828821*c_1001_5^10 - 289324349670324270699104444/208691943907934124828821*c_1001_5^9 + 71411177091356485543273898/208691943907934124828821*c_1001_5^8 + 559892789895869838414129347/208691943907934124828821*c_1001_5^7 - 1534134240488224431700669456/208691943907934124828821*c_1001_5^6 + 2467800435324830865453775711/208691943907934124828821*c_1001_5^5 - 2860713217326323739283769255/208691943907934124828821*c_1001_5^4 + 2476217540249334576365334439/208691943907934124828821*c_1001_5^3 - 1567816856498813147199072192/208691943907934124828821*c_1001_5^2 + 674713788827480502127889693/208691943907934124828821*c_1001_5 - 156221353203572844156854312/208691943907934124828821, c_1001_2 + 157634761536902177587344/208691943907934124828821*c_1001_5^1\ 5 - 2218787770845262741325480/208691943907934124828821*c_1001_5^14 + 13900258102573870308674572/208691943907934124828821*c_1001_5^13 - 52708783232615670094470168/208691943907934124828821*c_1001_5^12 + 136720877276194928787247292/208691943907934124828821*c_1001_5^11 - 249236434648474503953494650/208691943907934124828821*c_1001_5^10 + 289324349670324270699104444/208691943907934124828821*c_1001_5^9 - 71411177091356485543273898/208691943907934124828821*c_1001_5^8 - 559892789895869838414129347/208691943907934124828821*c_1001_5^7 + 1534134240488224431700669456/208691943907934124828821*c_1001_5^6 - 2467800435324830865453775711/208691943907934124828821*c_1001_5^5 + 2860713217326323739283769255/208691943907934124828821*c_1001_5^4 - 2476217540249334576365334439/208691943907934124828821*c_1001_5^3 + 1567816856498813147199072192/208691943907934124828821*c_1001_5^2 - 674713788827480502127889693/208691943907934124828821*c_1001_5 + 156221353203572844156854312/208691943907934124828821, c_1001_5^16 - 31/2*c_1001_5^15 + 433/4*c_1001_5^14 - 1841/4*c_1001_5^13 + 5381/4*c_1001_5^12 - 5645/2*c_1001_5^11 + 16409/4*c_1001_5^10 - 3092*c_1001_5^9 - 11533/4*c_1001_5^8 + 14799*c_1001_5^7 - 118379/4*c_1001_5^6 + 162451/4*c_1001_5^5 - 167143/4*c_1001_5^4 + 32544*c_1001_5^3 - 74409/4*c_1001_5^2 + 28635/4*c_1001_5 - 5713/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB