Magma V2.19-8 Tue Aug 20 2013 23:38:14 on localhost [Seed = 1646528067] Type ? for help. Type -D to quit. Loading file "K11n145__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n145 geometric_solution 9.01207155 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 1 0132 0132 0132 3201 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 0 1 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 0.406749319425 0.651802297887 0 0 4 4 0132 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.115690330371 0.804607560868 5 0 7 6 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.773512786772 2.006981246186 8 9 5 0 0132 0132 2310 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 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 0.512749939051 0.330354221401 6 1 1 7 3012 3201 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.753303747277 0.436688674172 2 3 9 6 0132 3201 2103 3120 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 -1 0 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 0.407631039952 0.845604399177 5 8 2 4 3120 1230 0132 1230 0 0 0 0 0 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 -1 1 0 1 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 0.137292446362 0.733188461933 7 7 4 2 1302 2031 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184800339478 1.066154498933 3 9 6 9 0132 2310 3012 3012 0 0 0 0 0 -1 0 1 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 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 0.303442871824 0.901919195057 5 3 8 8 2103 0132 1230 3201 0 0 0 0 0 1 0 -1 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 -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 0.536370147552 0.694505177199 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_6']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_3'], 'c_1100_8' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0110_4'], 'c_1010_7' : d['c_0011_7'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_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_5'], 'c_0101_8' : d['c_0101_0'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_3'], '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_0101_5'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_5, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 185887984390230379473198567/6304032764264933551521605*c_1001_0^11 - 485656993890364833552224997/2521613105705973420608642*c_1001_0^10 - 9174739403729962814398565319/12608065528529867103043210*c_1001_0^9 - 26175436537641442230868864179/12608065528529867103043210*c_1001_0^8 - 27676291071072123765126722126/6304032764264933551521605*c_1001_0^\ 7 - 85441456647444707513943742191/12608065528529867103043210*c_1001\ _0^6 - 100837048451495242117453852599/12608065528529867103043210*c_\ 1001_0^5 - 50987481524940725737023049741/6304032764264933551521605*\ c_1001_0^4 - 92489570023001005095568400499/126080655285298671030432\ 10*c_1001_0^3 - 1844589238053083036494294873/3602304436722819172298\ 06*c_1001_0^2 - 30527380566848972841036359097/126080655285298671030\ 43210*c_1001_0 - 4443590431910319159815036731/630403276426493355152\ 1605, c_0011_0 - 1, c_0011_3 - 14798355328497720906/5705084471069682893*c_1001_0^11 - 84433352234163743610/5705084471069682893*c_1001_0^10 - 308580649403457871302/5705084471069682893*c_1001_0^9 - 849505638828658802441/5705084471069682893*c_1001_0^8 - 1714504377510508742724/5705084471069682893*c_1001_0^7 - 2530109433748724852367/5705084471069682893*c_1001_0^6 - 2905676417124343116658/5705084471069682893*c_1001_0^5 - 2918614555656301984004/5705084471069682893*c_1001_0^4 - 2563033501704533540691/5705084471069682893*c_1001_0^3 - 1710846631255922748611/5705084471069682893*c_1001_0^2 - 780318862226484477763/5705084471069682893*c_1001_0 - 202712475463799242583/5705084471069682893, c_0011_4 + 13164809886605056032/5705084471069682893*c_1001_0^11 + 74391343154987465664/5705084471069682893*c_1001_0^10 + 270737329469808845181/5705084471069682893*c_1001_0^9 + 742361323467179200813/5705084471069682893*c_1001_0^8 + 1489859122290407691754/5705084471069682893*c_1001_0^7 + 2183197846728027753816/5705084471069682893*c_1001_0^6 + 2492541397084115744855/5705084471069682893*c_1001_0^5 + 2499181869200713022841/5705084471069682893*c_1001_0^4 + 2187420122250513805996/5705084471069682893*c_1001_0^3 + 1446855482216769335926/5705084471069682893*c_1001_0^2 + 650410503633701462351/5705084471069682893*c_1001_0 + 163211468801590753356/5705084471069682893, c_0011_6 - 8615471731077771135/5705084471069682893*c_1001_0^11 - 49616630899677883053/5705084471069682893*c_1001_0^10 - 180845664927576775425/5705084471069682893*c_1001_0^9 - 497803195496031333258/5705084471069682893*c_1001_0^8 - 1003431429393469354271/5705084471069682893*c_1001_0^7 - 1474177544740656860360/5705084471069682893*c_1001_0^6 - 1681465368909410072781/5705084471069682893*c_1001_0^5 - 1685808932769706359593/5705084471069682893*c_1001_0^4 - 1483979604247913580239/5705084471069682893*c_1001_0^3 - 980519633168961137373/5705084471069682893*c_1001_0^2 - 441917712513556094371/5705084471069682893*c_1001_0 - 114823297322470179247/5705084471069682893, c_0011_7 - 6926158920041575749/5705084471069682893*c_1001_0^11 - 38742723844569304290/5705084471069682893*c_1001_0^10 - 140586426658716487860/5705084471069682893*c_1001_0^9 - 384087370285422402073/5705084471069682893*c_1001_0^8 - 766923834766184494775/5705084471069682893*c_1001_0^7 - 1117445802003676276705/5705084471069682893*c_1001_0^6 - 1268673676763317628020/5705084471069682893*c_1001_0^5 - 1267610359141543385254/5705084471069682893*c_1001_0^4 - 1105992445690307099908/5705084471069682893*c_1001_0^3 - 723554588304604513943/5705084471069682893*c_1001_0^2 - 317564531291393265364/5705084471069682893*c_1001_0 - 76958630856796625201/5705084471069682893, c_0101_0 - 842307133649650551/5705084471069682893*c_1001_0^11 - 5414504342915616147/5705084471069682893*c_1001_0^10 - 20388995781626684847/5705084471069682893*c_1001_0^9 - 58733911317831886045/5705084471069682893*c_1001_0^8 - 124471111558292154848/5705084471069682893*c_1001_0^7 - 195805102162093059608/5705084471069682893*c_1001_0^6 - 238238482477645317342/5705084471069682893*c_1001_0^5 - 248507154399014605716/5705084471069682893*c_1001_0^4 - 225196021603916403368/5705084471069682893*c_1001_0^3 - 164513741169202184818/5705084471069682893*c_1001_0^2 - 91752921088062198545/5705084471069682893*c_1001_0 - 31294789751403666807/5705084471069682893, c_0101_1 - 5055603413066462475/5705084471069682893*c_1001_0^11 - 27135687604733646732/5705084471069682893*c_1001_0^10 - 96408277580914141722/5705084471069682893*c_1001_0^9 - 258773654957037778829/5705084471069682893*c_1001_0^8 - 502916482203247053602/5705084471069682893*c_1001_0^7 - 707745406750579447891/5705084471069682893*c_1001_0^6 - 782786760919446320000/5705084471069682893*c_1001_0^5 - 778791842898762116013/5705084471069682893*c_1001_0^4 - 664871783168402525622/5705084471069682893*c_1001_0^3 - 409131706592443309674/5705084471069682893*c_1001_0^2 - 174507942434459302387/5705084471069682893*c_1001_0 - 43865515088483043017/5705084471069682893, c_0101_5 - 11041036558827048423/5705084471069682893*c_1001_0^11 - 60454444729047403968/5705084471069682893*c_1001_0^10 - 218567243319500022951/5705084471069682893*c_1001_0^9 - 593661799276913580388/5705084471069682893*c_1001_0^8 - 1177713816470340180701/5705084471069682893*c_1001_0^7 - 1705692497012450046656/5705084471069682893*c_1001_0^6 - 1935947419072612548484/5705084471069682893*c_1001_0^5 - 1941107681706955502035/5705084471069682893*c_1001_0^4 - 1686655242329255528985/5705084471069682893*c_1001_0^3 - 1103662189438558244606/5705084471069682893*c_1001_0^2 - 496218290323910798946/5705084471069682893*c_1001_0 - 128915359578447617975/5705084471069682893, c_0110_4 - 14007117020254706583/5705084471069682893*c_1001_0^11 - 79805847497903081811/5705084471069682893*c_1001_0^10 - 291126325251435530028/5705084471069682893*c_1001_0^9 - 801095234785011086858/5705084471069682893*c_1001_0^8 - 1614330233848699846602/5705084471069682893*c_1001_0^7 - 2379002948890120813424/5705084471069682893*c_1001_0^6 - 2730779879561761062197/5705084471069682893*c_1001_0^5 - 2747689023599727628557/5705084471069682893*c_1001_0^4 - 2412616143854430209364/5705084471069682893*c_1001_0^3 - 1611369223385971520744/5705084471069682893*c_1001_0^2 - 742163424721763660896/5705084471069682893*c_1001_0 - 194506258552994420163/5705084471069682893, c_1001_0^12 + 7*c_1001_0^11 + 254/9*c_1001_0^10 + 2276/27*c_1001_0^9 + 5125/27*c_1001_0^8 + 320*c_1001_0^7 + 11228/27*c_1001_0^6 + 12125/27*c_1001_0^5 + 3838/9*c_1001_0^4 + 3043/9*c_1001_0^3 + 5426/27*c_1001_0^2 + 2198/27*c_1001_0 + 482/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB