# _____ _____ ___ # / __\ \ / / \| _ ) # | (__ \ V /| |) | _ \ Calabi-Yau differential # \___| |_| |___/|___/ operator database v.3 # ---------------------------------------------- # Revision: 1250 # Date of the last change: Thu Dec 28 18:50:56 2017 # Date of the last sync or merge: Tue Jul 26 02:15:11 2016 # Last change by: straten # Number of entries: 657 pols: [X^4, -12*(2*X+1)^2*(3*X^2+3*X+1), 432*(2*X+1)^2*(2*X+3)^2] new_number: 2.20 id: 12 pols: [X^4, -3*(3*X+1)*(3*X+2)*(7*X^2+7*X+2), -72*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)] new_number: 2.2 id: 22 pols: [X^4, -4*(2*X+1)^2*(11*X^2+11*X+3), -16*(2*X+1)^2*(2*X+3)^2] new_number: 2.5 id: 55 pols: [X^4, -4*(2*X+1)^2*(10*X^2+10*X+3), 144*(2*X+1)^2*(2*X+3)^2] new_number: 2.9 id: 70 pols: [X^4, -460*X^4-992*X^3-646*X^2-150*X-12, -12*(6*X+5)*(1866*X^3+5341*X^2+4760*X+1084), -24336*(6*X+5)*(6*X+11)*(3*X+1)*(3*X+7)] new_number: 3.22 id: 81 pols: [X^4, -145*X^4-242*X^3-199*X^2-78*X-12, 8*(2*X+1)*(4*X+3)*(97*X^2+182*X+114), -1296*(2*X+1)*(2*X+3)*(4*X+3)*(4*X+7)] new_number: 3.28 id: 90 pols: [25*X^4, -26960*X^4-15040*X^3-10420*X^2-2900*X-300, 7382016*X^4-2322432*X^3-9465984*X^2-4847040*X-758160, -134369280*X^4+2418647040*X^3+1941636096*X^2+604661760*X+67184640, -6530347008*(2*X+1)^4] new_number: 4.58 id: 157 pols: [X^4, -12-68*X-148*X^2-160*X^3-208*X^4, 1968+11008*X+24192*X^2+24576*X^3+15360*X^4, -152832-720896*X-1327104*X^2-1179648*X^3-458752*X^4, 16384*(4*X+5)^2*(4*X+3)^2] new_number: 4.71 id: 172 pols: [X^4, -12-92*X-268*X^2-352*X^3-320*X^4, 7344+46656*X+104448*X^2+99840*X^3+44544*X^4, -165888-1492992*X-4709376*X^2-5971968*X^3-2506752*X^4, 2985984*(2*X+1)^4] new_number: 4.72 id: 173 pols: [49*X^4, -588-4410*X-12726*X^2-16632*X^3-8064*X^4, 29232+145824*X+245172*X^2+140832*X^3+14256*X^4, -111888-413532*X-373140*X^2+54432*X^3+57456*X^4, -1296*(2*X+1)*(36*X^3+306*X^2+421*X+156), -5184*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)] new_number: 5.35 id: 244 pols: [25*X^4, -300-2450*X-7630*X^2-10360*X^3-4640*X^4, -84240-475200*X-961164*X^2-808992*X^3-254304*X^4, -2682720-13821840*X-24344064*X^2-17262720*X^3-4458240*X^4, -419904*(19*X^2+59*X+45)*(2*X+1)^2, -5038848*(2*X+1)^2*(2*X+3)^2] new_number: 5.36 id: 245 pols: [X^4, -144*X^4-180*X^3-159*X^2-69*X-12, 7857*X^4+17820*X^3+20871*X^2+12096*X+2736, -205578*X^4-629856*X^3-851958*X^2-542376*X-129600, 2598156*X^4+9447840*X^3+13568148*X^2+8608032*X+2006208, -1417176*(X+1)^2*(3*X+2)*(3*X+4)] new_number: 5.3 id: 249 pols: [25*X^4, -300-2050*X-5510*X^2-6920*X^3-3280*X^4, 58320+276240*X+460644*X^2+304992*X^3+64224*X^4, -1136160-4408560*X-5230656*X^2-1952640*X^3-152064*X^4, -1728*(2*X+1)*(586*X^3+3039*X^2+3947*X+1527), -20736*(2*X+1)*(6*X+5)*(6*X+7)*(2*X+3)] new_number: 5.40 id: 250 pols: [169*X^4, -2028-14534*X-40859*X^2-52650*X^3-18837*X^4, 281424+1317056*X+1936736*X^2+433792*X^3-364160*X^4, -5001984-16253952*X-8778752*X^2+10223616*X^3+978944*X^4, -196608*(2*X+1)*(40*X^3+684*X^2+1013*X+399), -9437184*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)] new_number: 5.44 id: 254 pols: [25*X^4, -3785*X^4-6490*X^3-5245*X^2-2000*X-300, 196416*X^4+629928*X^3+796356*X^2+429840*X+84240, -4901472*X^4-22044960*X^3-36343404*X^2-23925780*X-5307120, 104976*(2*X+1)*(216*X^3+864*X^2+1015*X+356), -3779136*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)] new_number: 5.66 id: 278 pols: [81*X^4, -17937*X^4-28962*X^3-21933*X^2-7452*X-972, 559552*X^4+805888*X^3+391648*X^2+89280*X+9504, -6046720*X^4-8902656*X^3-7399680*X^2-3186432*X-539136, 32768*(2*X+1)*(340*X^3+618*X^2+455*X+129), -4194304*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 5.75 id: 288 pols: [9*X^4, -1776*X^4-3300*X^3-2487*X^2-837*X-108, 13801*X^4+6652*X^3-18041*X^2-14904*X-3312, -2*X*(8461*X^3-29160*X^2-28365*X-7236), -43092*X^4-72576*X^3-40908*X^2-5376*X+1344, -1176*(X+1)^2*(3*X+2)*(3*X+4)] new_number: 5.76 id: 289 pols: [X^4, 6+38*X+96*X^2+116*X^3+91*X^4, 1218+5950*X+11076*X^2+9388*X^3+3649*X^4, 32814+148542*X+258070*X^2+203832*X^3+63585*X^4, 452634+1866098*X+2834854*X^2+1876864*X^3+489086*X^4, 2613816+10006152*X+13629172*X^2+7635136*X^3+1497628*X^4, 3996360+13915740*X+16585980*X^2+8235072*X^3+1566360*X^4, -9795600-30045624*X-25554680*X^2-743296*X^3+2211712*X^4, -2330112+3517808*X+25230064*X^2+25837056*X^3+5467392*X^4, 104256-5010336*X-15655264*X^2-13188096*X^3-958976*X^4, 523008+3215616*X+8458752*X^2+10444800*X^3+4890624*X^4, -18432*(4*X+3)*(X+1)^2*(4*X+5)] new_number: 11.1 id: 336 pols: [25*X^4, -3940*X^4-8360*X^3-6380*X^2-2200*X-300, 2896*X^4+81088*X^3+164656*X^2+108000*X+25360, -110528*X^4+304512*X^3+727360*X^2+291840*X+22080, 1203712*X^4+2330624*X^3-5696000*X^2-6426624*X-1962496, -2158592*X^4-5931008*X^3-65536*X^2+7417856*X+3633152, 16154624*X^4-50036736*X^3-25853952*X^2-11894784*X-3801088, -102236160*X^4+36962304*X^3-113377280*X^2-191234048*X-73793536, 158334976*X^4-109051904*X^3-305135616*X^2-250609664*X-68157440, -96468992*X^4-100663296*X^3-356515840*X^2-553648128*X-230686720, 33554432*(X+1)*(7*X^3+31*X^2+35*X+12), -268435456*(X+1)^4] new_number: 11.4 id: 341 pols: [25*X^4, -1600*X^4-3200*X^3-3100*X^2-1500*X-300, 58880*X^4+189440*X^3+307840*X^2+236800*X+73200, -1556480*X^4-6021120*X^3-11965440*X^2-11842560*X-4561920, 32047104*X^4+131334144*X^3+266059776*X^2+289751040*X+122204160, -547356672*X^4-2283798528*X^3-4288413696*X^2-4403232768*X-1807024128, 7751073792*X^4+32916897792*X^3+58711867392*X^2+50130321408*X+16666066944, -91804925952*X^4-396210733056*X^3-746519003136*X^2-601563856896*X-168812347392, 901943132160*X^4+3917010173952*X^3+8024072650752*X^2+7528003928064*X+2663953465344, -7146825580544*X^4-30923764531200*X^3-58806692216832*X^2-51488067944448*X-16969415786496, 45079976738816*X^4+228698418577408*X^3+481311215058944*X^2+475813656920064*X+182244052303872, -175921860444160*X^4-1020346790576128*X^3-2278188092751872*X^2-2278188092751872*X-854320534781952, 17592186044416*(2*X+3)^4] new_number: 12.4 id: 348 pols: [X^4, -140*X^4-152*X^3-140*X^2-64*X-12, 8736*X^4+17088*X^3+20592*X^2+12640*X+3216, -315392*X^4-824832*X^3-1141056*X^2-811072*X-236352, 7199488*X^4+22632448*X^3+33786112*X^2+25145856*X+7554816, -104279040*X^4-378722304*X^3-599851008*X^2-439520256*X-124710912, 860700672*X^4+3588636672*X^3+5853929472*X^2+3884212224*X+863797248, -1825210368*X^4-9822339072*X^3-9894887424*X^2+8154611712*X+9521528832, -34791358464*X^4-172884492288*X^3-449399881728*X^2-605350526976*X-289478541312, 286399660032*X^4+1812675428352*X^3+4617302704128*X^2+5673210347520*X+2552626151424, 12230590464*(X+1)*(X^3-105*X^2-277*X-267), -73383542784*(X+1)*(X+2)*(93*X^2+441*X+607), 7925422620672*(X+3)*(X+2)*(X+1)*(X+6), 63403380965376*(X+1)*(X+2)*(X+3)*(X+4)] new_number: 13.10 id: 362 pols: [25*X^4, -300-1100*X-1660*X^2-1120*X^3-10480*X^4, 680960*X+1964544*X^4+632832*X^3+969344*X^2+158320, -37018880-144348160*X-209849344*X^2-139444224*X^3-217964544*X^4, 15973089280*X^4+17656250368*X+5061877760+16775118848*X^3+25085739008*X^2, -450117763072-1433513492480*X-1922996109312*X^2-1260052807680*X^3-817352409088*X^4, 101136447045632*X^2+63277149192192*X^3+81033617735680*X+30113106231296*X^4+27403069947904, -1172226564947968-3250626939060224*X-3763978341711872*X^2-2205773333528576*X^3-811916054233088*X^4, 54428574353981440*X^3+16123384538595328*X^4+93195756621529088*X+100329190494044160*X^2+35629414452559872, -769799426687369216-1907350033615814656*X-1916083179597332480*X^2-957108379304591360*X^3-235396918291726336*X^4, 2501498904353177600*X^4+11941558294763536384*X^3+27594548875410538496*X+25978776955975106560*X^2+11710476134977110016, -122831035499414552576-276522424495432007680*X-245184900544560365568*X^2-104031884754863259648*X^3-18970780111600615424*X^4, 1852920498288670539776*X+856593656325123080192+613444312443390001152*X^3+99284105585196269568*X^4+1556901146581421522944*X^2, -3736042135678487625728-7821275372064774029312*X-6275928210327371513856*X^2-2315642842002852151296*X^3-338526576790185443328*X^4, 14379237005456595484672*X^2+673306158690398633984*X^4+18603541398336082804736*X+5017514388048998039552*X^3+9112691572412518498304, -590295810358705651712*(X+2)^4] new_number: 15.4 id: 392 pols: [361*X^4, -82327*X^4-118028*X^3-90782*X^2-31768*X-4332, 4307495*X^4+7600484*X^3+6216406*X^2+2802424*X+530556, -93729369*X^4-213316800*X^3-236037196*X^2-125748612*X-25260804, 963255200*X^4+3114116800*X^3+4165791036*X^2+2527211236*X+554043972, -1636*(X+1)*(2851324*X^3+10035516*X^2+11221241*X+3481470), 2173983876*(X+1)*(X+2)*(2*X+1)*(2*X+5)] new_number: 6.4 id: 426 pols: [X^4, -12-64*X-125*X^2-122*X^3-61*X^4, -576-4176*X-8264*X^2-6176*X^3-1544*X^4, 622080+2414592*X+2823168*X^2+1345536*X^3+224256*X^4, -51609600-174735360*X-164007936*X^2-60162048*X^3-7520256*X^4, 1769472*(16*X^2+80*X+35)*(2*X+5)^2, -42467328*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)] new_number: 6.5 id: 427 pols: [X^4, -12-100*X-305*X^2-410*X^3-205*X^4, -3168-14976*X-23744*X^2-16256*X^3-4064*X^4, -87480-336492*X-391668*X^2-186336*X^3-31056*X^4, -806400-2730240*X-2562624*X^2-940032*X^3-117504*X^4, -3456*(16*X^2+80*X+35)*(2*X+5)^2, -10368*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)] new_number: 6.6 id: 428 pols: [9*X^4, -816*X^4-1020*X^3-1041*X^2-531*X-108, 31273*X^4+76540*X^3+103783*X^2+71112*X+19728, -656438*X^4-2362320*X^3-3955914*X^2-3240072*X-1044576, 8147996*X^4+38411008*X^3+76088452*X^2+70904768*X+25237632, -136*(X+1)*(439669*X^3+2114103*X^2+3708554*X+2306280), 499392*(X+1)*(X+2)*(481*X^2+1875*X+1962), -407503872*(X+1)*(X+2)^2*(X+3)] new_number: 7.8 id: 451 pols: [X^4, -4*(3*X^2+3*X+1)*(10*X^2+10*X+3), 3344*X^4+16832*X^3+23536*X^2+13408*X+2928, 34560*X^4-207360*X^3-634752*X^2-480384*X-127872, -2092032*X^4-4184064*X^3+5068800*X^2+7160832*X+2405376, 9953280*X^4+99532800*X^3+56070144*X^2-8294400*X-11612160, 277364736*X^4-286654464*X^3-571981824*X^2-286654464*X-35831808, -95551488*(3*X^2+3*X+1)*(10*X^2+10*X+3), 6879707136*(X+1)^4] new_number: 8.10 id: 453 pols: [X^4, -12*(3*X^2+3*X+1)^2, 3024*X^4+22464*X^3+31536*X^2+18144*X+4176, 10368*(3*X^2+3*X+1)*(3*X^2-21*X-35), -6718464*X^4-13436928*X^3+28366848*X^2+35085312*X+12192768, 8957952*(3*X^2+3*X+1)*(3*X^2+27*X-11), 2257403904*X^4-7739670528*X^3-13221937152*X^2-7739670528*X-1397440512, -7739670528*(3*X^2+3*X+1)^2, 557256278016*(X+1)^4] new_number: 8.13 id: 456 pols: [169*X^4, -13*X*(56*X^3+178*X^2+115*X+26), -28466*X^4-109442*X^3-165603*X^2-117338*X-32448, -233114*X^4-1257906*X^3-2622815*X^2-2467842*X-872352, -989585*X^4-6852298*X^3-17737939*X^2-19969754*X-8108448, -(X+1)*(2458967*X^3+18007287*X^2+44047582*X+35386584), -9*(X+1)*(X+2)*(393163*X^2+2539029*X+4164444), -297*(X+3)*(X+2)*(X+1)*(8683*X+34604), -722007*(X+1)*(X+2)*(X+3)*(X+4)] new_number: 8.35 id: 480 pols: [169*X^4, -2028-15886*X-47931*X^2-64090*X^3-68237*X^4, 8428848*X^4+9027072*X^3+4331664*X^2+932256*X+74256, -427125120*X^4-483459072*X^3-304285312*X^2-95506944*X-12055680, 8797894656*X^4+12157919232*X^3+7559117824*X^2+2183858176*X+241950720, -63167811584*X^4-75064696832*X^3-28806516736*X^2-3414458368*X+11132928, 197529108480*X^4+363095654400*X^3+511946588160*X^2+348497510400*X+81711857664, -297271296*(X+1)*(2*X+1)*(646*X^2+1715*X+1044), 149824733184*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 8.48 id: 494 pols: [X^4, -33*X^4-98*X^3-105*X^2-56*X-12, 272*X^4+2208*X^3+4872*X^2+4656*X+1728, 528*X^4-8160*X^3-45168*X^2-72960*X-40608, -1152*(2*X^2+6*X+5)*(4*X^2+12*X-31), 8448*X^4+231936*X^3+908544*X^2+1268736*X+557568, 69632*X^4+270336*X^3-79872*X^2-1449984*X-1529856, -135168*X^4-1220608*X^3-4116480*X^2-6111232*X-3342336, 65536*(X+3)^4] new_number: 8.55 id: 502 pols: [X^4, -(7*X^2+7*X+2)*(17*X^2+17*X+6), 3520*X^4+7168*X^3+9920*X^2+5504*X+960, -68544*X^4+411264*X^3+1258560*X^2+953856*X+255744, 3391488*X^4+6782976*X^3+3612672*X^2+221184*X+331776, 39481344*X^4+394813440*X^3+222621696*X^2-31850496*X-46448640, 1167851520*X^4+2293235712*X^3+3163815936*X^2+2293235712*X+573308928, 191102976*(7*X^2+7*X+2)*(17*X^2+17*X+6), 110075314176*(X+1)^4] new_number: 8.5 id: 507 pols: [25*X^4, -3380*X^4-4120*X^3-3710*X^2-1650*X-300, 185584*X^4+413632*X^3+501164*X^2+305480*X+76320, -5544384*X^4-17179008*X^3-25159152*X^2-18009840*X-5113440, 99910656*X^4+385357824*X^3+644136192*X^2+508886784*X+154972224, -1120960512*X^4-5065998336*X^3-9322573824*X^2-7852363776*X-2491250688, 7686586368*X^4+39154876416*X^3+77370163200*X^2+67974266880*X+22084337664, -509607936*(X+1)^2*(58*X^2+208*X+201), 48922361856*(X+1)^2*(X+2)^2] new_number: 8.79 id: 528 pols: [X^4, -4*(3*X^2+3*X+1)*(11*X^2+11*X+3), 3856*X^4+15040*X^3+20848*X^2+11616*X+2320, -4224*X^4+25344*X^3+77696*X^2+58368*X+14976, 244736*X^4+489472*X^3-329728*X^2-574464*X-173056, 135168*X^4+1351680*X^3+757760*X^2-131072*X-151552, 3948544*X^4+393216*X^3-1163264*X^2+393216*X+376832, 131072*(3*X^2+3*X+1)*(11*X^2+11*X+3), 1048576*(X+1)^4] new_number: 8.7 id: 529 # SUMMARY # FOUND: 34 # IDs: 12, 22, 55, 70, 81, 90, 157, 172, 173, 244, 245, 249, 250, 254, 278, 288, 289, 336, 341, 348, 362, 392, 426, 427, 428, 451, 453, 456, 480, 494, 502, 507, 528, 529