# _____ _____ ___ # / __\ \ / / \| _ ) # | (__ \ 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, -128*X^4-256*X^3-252*X^2-124*X-24, 256*(4*X+3)*(X+1)^2*(4*X+5)] new_number: 2.63 id: 59 pols: [X^4, -12*(6*X+1)*(6*X+5)*(2*X^2+2*X+1), 144*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.66 id: 62 pols: [X^4, -844*X^4-1688*X^3-1502*X^2-658*X-114, 324*(X+1)^2*(716*X^2+1432*X+579), -5143824*(X+1)*(X+2)*(2*X+1)*(2*X+5)] new_number: 3.16 id: 76 pols: [X^4, -912*X^4-1824*X^3-1540*X^2-628*X-104, 2048*(X+1)^2*(132*X^2+264*X+109), -6553600*(X+1)*(X+2)*(2*X+1)*(2*X+5)] new_number: 3.17 id: 77 pols: [X^4, -1164*X^4-2328*X^3-1630*X^2-466*X-50, 4*(X+1)^2*(2316*X^2+4632*X+1907), -4624*(X+1)*(X+2)*(2*X+1)*(2*X+5)] new_number: 3.18 id: 78 pols: [X^4, -1484*X^4-2968*X^3-2590*X^2-1106*X-190, 500*(X+1)^2*(1468*X^2+2936*X+1211), -30250000*(X+1)*(X+2)*(2*X+1)*(2*X+5)] new_number: 3.19 id: 83 pols: [X^4, -108*X^4-216*X^3-54*X^2+54*X+18, -2916*(X+1)^2*(20*X^2+40*X+17), -944784*(X+1)*(X+2)*(2*X+1)*(2*X+5)] new_number: 3.7 id: 102 pols: [25*X^4, 2720*X^4+4480*X^3+3940*X^2+1700*X+300, 89344*X^4+259072*X^3+350784*X^2+236800*X+63280, 1245184*X^4+4669440*X^3+7458816*X^2+5621760*X+1597440, 7602176*X^4+30932992*X^3+48431104*X^2+32964608*X+8208384, 16777216*(X+1)^4] new_number: 5.56 id: 267 pols: [X^4, 7424*X^4-512*X^3+1216*X^2+1472*X+336, 19922944*X^4+4980736*X^3+14745600*X^2+4292608*X+163840, 23420993536*X^4+25769803776*X^3+28739371008*X^2+11777605632*X+1975517184, 11682311045120*X^4+27487790694400*X^3+29291676958720*X^2+15547781611520*X+3350074490880, 1759218604441600*(X+1)^4] new_number: 5.57 id: 268 pols: [25*X^4, -405*X^4-1620*X^3-1860*X^2-1050*X-225, -24786*X^4-81648*X^3-117126*X^2-80190*X-21960, 275562*X^4+2361960*X^3+5629338*X^2+5183190*X+1674270, 4782969*X^4+25509168*X^3+43341966*X^2+30587382*X+7768224, 14348907*(X+1)^4] new_number: 5.58 id: 269 pols: [X^4, 6561*X^4-8748*X^3-6156*X^2-1782*X-279, 7440174*X^4-34012224*X^3+5314410*X^2+2480058*X+918540, -13172296626*X^4-9298091736*X^3-11106054018*X^2-4390765542*X-1080950994, -4236443047215*X^4+5962401325710*X^2+5962401325710*X+1882863576540, 5147278302366225*(X+1)^4] new_number: 5.59 id: 270 pols: [25*X^4, -11840*X^4-31360*X^3-28380*X^2-12700*X-2300, 1048576*X^4+8224768*X^3+14445056*X^2+9574400*X+2315760, 109051904*X^4+125829120*X^3-609091584*X^2-813957120*X-271426560, -4294967296*X^4-40802189312*X^3-76403441664*X^2-53485764608*X-12859211776, -67108864*(8*X+5)*(8*X+7)*(8*X+9)*(8*X+11)] new_number: 5.67 id: 279 pols: [9*X^4, 2640*X^4+1824*X^3+2484*X^2+1572*X+372, 191856+599936*X+329728*X^4+526336*X^3+802112*X^2, 23023616*X^4+62251008*X^3+109844480*X^2+100116480*X+39077120, 9009102848*X+4105736192+3960471552*X^3+8315568128*X^2+993067008*X^4, 27598520320*X^4+149627600896*X^3+376665276416*X^2+477045456896*X+248886853632, 10463748292608*X^2+15322966917120*X+9051836514304+499961036800*X^4+3488587186176*X^3, 177435836416000*X^2+297170934693888*X+196857946963968+5828270620672*X^4+50311246905344*X^3, 433757337157632*X^3+1770866555748352*X^2+3349799612973056*X+2460402080284672+41850161332224*X^4, 2031897488130048*X^3+9460198045384704*X^2+19956136044134400*X+16058917079482368+167125767421952*X^4, 17592186044416*(2*X+7)^4] new_number: 10.10 id: 316 pols: [X^4, -280*X^3-232*X-372*X^2-152*X^4-56, 35424*X^3+26080+65888*X+68080*X^2+9744*X^4, -4622080*X^2-2852608-5691648*X-347392*X^4-1864704*X^3, 161448960*X^2+235916288*X+7628800*X^4+53571584*X^3+138162176, -107806720*X^4-3258073088*X^2-5445091328*X-924811264*X^3-3592175616, 73963536384*X+9942466560*X^3+53656485888+993067008*X^4+39721041920*X^2, -5894045696*X^4-465979834368-66580381696*X^3-596382842880*X-294001836032*X^2, 2282691231744+2766952988672*X+21609054208*X^4+1278646157312*X^2+268032802816*X^3, -44291850240*X^4-5758947164160-6736790421504*X-2975808356352*X^2-589484261376*X^3, 2415919104*(2*X+7)^4] new_number: 10.9 id: 325 pols: [961*X^4, -31*X*(790*X^3+2930*X^2+1868*X+403), -2814085*X^4-9964954*X^3-13382605*X^2-8541027*X-2183392, -77649704*X^4-350426364*X^3-626329390*X^2-517109481*X-165295596, -1130950485*X^4-6282081612*X^3-13577302372*X^2-13176194701*X-4791500140, -10174204338*X^4-66980706054*X^3-167325460826*X^2-182996671594*X-72827286420, -59691820411*X^4-451633384578*X^3-1266886011283*X^2-1521913712448*X-648339514868, -230730761372*X^4-1954510456048*X^3-6018773050236*X^2-7791703816840*X-3498781134176, -4*(X+1)*(143617960931*X^3+1184948771451*X^2+3211500965214*X+2815433689448), -32*(X+1)*(X+2)*(27089561480*X^2+184897066731*X+314481835312), -71232*(X+3)*(X+2)*(X+1)*(9822371*X+40000042), -227695652352*(X+1)*(X+2)*(X+3)*(X+4)] new_number: 11.11 id: 327 pols: [289*X^4, -102*X^2*(117*X^2+2*X+1), 33900*X^4-256704*X^3-388040*X^2-254320*X-64736, 2868376*X^4+5603184*X^3+5973468*X^2+3574284*X+1016328, -7428704*X^4+18132224*X^3+26374256*X^2+19204960*X+6005376, -292523200*X^4-751934848*X^3-1329579376*X^2-1176282768*X-410967008, -520298112*X^4-1411777536*X^3-3489617856*X^2-3607239936*X-1145515776, 9879612160*X^4+60669785600*X^3+151243970240*X^2+169363710784*X+68575288704, 256*(X+1)*(119648213*X^3+399067803*X^2+77665606*X-498465144), -768*(X+1)*(X+2)*(120410834*X^2+865960638*X+1188072247), -986112*(X+3)*(X+2)*(X+1)*(218683*X-39394), 433662474240*(X+1)*(X+2)*(X+3)*(X+4)] new_number: 11.8 id: 345 pols: [9*X^4, -3*X*(20*X^3+196*X^2+125*X+27), -19127*X^4-69044*X^3-89705*X^2-54504*X-13248, -571598*X^4-2502840*X^3-4285266*X^2-3356496*X-1023120, -8232500*X^4-44760880*X^3-93499500*X^2-86632240*X-30226016, -68565480*X^4-456243648*X^3-1127475304*X^2-1197017168*X-462870080, -344479104*X^4-2763749952*X^3-7959090176*X^2-9534677952*X-4021733504, -1010901888*X^4-9695372544*X^3-32340933760*X^2-43423287040*X-19815752704, -1024*(X+1)*(1454893*X^3+15409953*X^2+50286726*X+48898444), -2048*(X+1)*(X+2)*(227963*X^2+3375435*X+10342960), 16384*(X+3)*(X+2)*(X+1)*(48476*X+271867), -146964480*(X+1)*(X+2)*(X+3)*(X+4)] new_number: 11.9 id: 346 pols: [X^4, -48-256*X-592*X^2-672*X^3-432*X^4, 52736+192512*X+296448*X^2+220160*X^3+71168*X^4, -13418496-40648704*X-49020928*X^2-26836992*X^3-6045696*X^4, 1341652992+3445096448*X+3228565504*X^2+1504706560*X^3+349700096*X^4, -35399925760-72058142720*X-45164265472*X^2-51438944256*X^3-21189623808*X^4, -2660732239872-5377835925504*X-2573759152128*X^2+2966748659712*X^3+1267552223232*X^4, 168637595910144+225348344086528*X-50543175139328*X^2-167503724544000*X^3-53034256171008*X^4, -1070924325453824+2634979615965184*X+7853811557203968*X^2+3438172860055552*X^3+1774062011416576*X^4, -65917921108426752-133577468635250688*X-92869150128472064*X^2-25332747903959040*X^3-68715078689488896*X^4, 295548725546188800+408138716230451200*X+1908963292051668992*X^2+3494793310839504896*X^3+2193253018529431552*X^4, -32515989309614981120-131505109119218483200*X-200860543380724121600*X^2-138350580552821637120*X^3-36749372959343247360*X^4, 14411518807585587200*(2*X+3)^4] new_number: 12.12 id: 349 pols: [25*X^4, -700-3700*X-8260*X^2-9120*X^3-4080*X^4, 373680+1288960*X+1795264*X^2+1098752*X^3+249344*X^4, -39217920-104970240*X-105533440*X^2-45047808*X^3-7999488*X^4, 1195077632+2583101440*X+1946910720*X^2+859045888*X^3+211484672*X^4, 1676279808+4603248640*X-1555038208*X^2-18396217344*X^3-6473908224*X^4, -497591255040-657129996288*X+148478361600*X^2+579820584960*X^3+158444027904*X^4, 4787412140032-292057776128*X-12767864029184*X^2-9689446219776*X^3-2712271847424*X^4, 17072495001600+105484396789760*X+154447023964160*X^2+77790447665152*X^3+45835890982912*X^4, -372322124955648-923589767331840*X-1324911511470080*X^2-1266637395197952*X^3-811439581298688*X^4, 6627856092233728+23573529299517440*X+36626931344474112*X^2+28428972647776256*X^3+9781255440695296*X^4, -128774801845125120-396316767208603648*X-478507460408115200*X^2-270215977642229760*X^3-60798594969501696*X^4, 9007199254740992*(2*X+3)^4] new_number: 12.13 id: 350 pols: [X^4, 32*X*(4*X^3-10*X^2-6*X-1), -23552*X^4-63488*X^3-51200*X^2-58368*X-22784, -1376256*X^4-5505024*X^3-10878976*X^2-2162688*X+835584, 247463936*X^4+343932928*X^3+2340421632*X^2+1935671296*X+672923648, -11811160064*X^4+97710505984*X^3+233337520128*X^2+255953207296*X+116836532224, -927712935936*X^4-5153960755200*X^3-2473901162496*X^2-5643587026944*X-2993592205312, 125344325566464*X^4+171523813933056*X^3-847998342922240*X^2-1536567499816960*X-849097854550016, -1548112371908608*X^4+31806672368304128*X^3+21145807625388032*X^2+2533274790395904*X-9033587533807616, -234187180623265792*X^4-2053641430080946176*X^3-2905947659560812544*X^2-1614540466412322816*X-82190693199511552, 17582052945254416384*X^4-6341068275337658368*X^3-103474705038464516096*X^2-144835764016235151360*X-59087227111100907520, -92233720368547758080*X^4+737869762948382064640*X^3+3343472363359856230400*X^2+4381101717506018508800*X+1890791267555229040640, -1844674407370955161600*(2*X+3)^4] new_number: 12.2 id: 356 pols: [25*X^4, 80*X^4+1120*X^3+1060*X^2+500*X+100, -15616*X^4-99328*X^3-144256*X^2-101760*X-31760, 212992*X^4-589824*X^3-2886656*X^2-3271680*X-1406720, 1441792*X^4+38273024*X^3+133070848*X^2+162693120*X+74915840, -119537664*X^4-553648128*X^3-68943872*X^2+451149824*X+378208256, 905969664*X^4+402653184*X^3-8002732032*X^2-20006830080*X-12308185088, 11811160064*X^4+168577466368*X^3+365810417664*X^2+374937223168*X+131650813952, -253403070464*X^4-1168231104512*X^3-4232690270208*X^2-6251324899328*X-3202434990080, 1443109011456*X^4+2886218022912*X^3+4913442586624*X^2+12472585027584*X+9212704849920, 25288767438848*X^4+83562883710976*X^3+89610197663744*X^2-16492674416640*X-47897475284992, -17592186044416*(2*X+3)*(4*X^3+28*X^2+51*X+28), -70368744177664*(2*X+3)^4] new_number: 12.3 id: 357 pols: [729*X^4, -14094*X-90396*X^3-45198*X^4-59292*X^2-486, -7956792*X-11699964*X^2-1930392*X^4-2105028-7721568*X^3, -353999781*X^2-333452052*X-116535348-161899398*X^3-26983233*X^4, -4081333212*X^2-4776300144*X-1971384624-180453636*X^4-1443629088*X^3, -413820*(X+4)*(X+1)*(1431*X^2+7155*X+7978), -768785600*(X+5)*(X+4)*(X+2)*(X+1)] new_number: 6.28 id: 412 pols: [4826809*X^4, -269930011*X-513126926*X^4-783056937*X^2-1026253852*X^3-35644128, -12505548094*X-2991564823*X^4-18219033339*X^2-3339580608-11966259292*X^3, -85687033692*X^2-80033273892*X-27654517800-6556586192*X^4-39339517152*X^3, -73082257248-6822181184*X^4-178715601792*X-153833799392*X^2-54577449472*X^3, -4892160*(X+4)*(X+1)*(688*X^2+3440*X+3823), -632217600*(X+5)*(X+4)*(X+2)*(X+1)] new_number: 6.41 id: 413 pols: [X^4, -4928*X-1360-6464*X^2-3072*X^3-1536*X^4, -262144*X-651264+1703936*X^2+1835008*X^3+458752*X^4, 3251634176+3615490048*X^2+5410652160*X+1207959552*X^3+201326592*X^4, -1545382920192-2714419331072*X-1846835937280*X^2-584115552256*X^3-73014444032*X^4, -259759622062080*X^2-474164389478400*X-335625924378624-65970697666560*X^3-6597069766656*X^4, 2533274790395904*(X+3)^4] new_number: 6.33 id: 418 pols: [9*X^4, -324*X^2-60-192*X^3-96*X^4-228*X, -17408*X^3-9936-31744*X^2-4352*X^4-28672*X, 793856+882688*X^2+49152*X^4+1320960*X+294912*X^3, 10485760*X+9961472*X^2+458752*X^4+3670016*X^3+3084288, -478412800*X-62914560*X^3-252968960*X^2-6291456*X^4-353173504, 16777216*(X+3)^4] new_number: 6.34 id: 419 pols: [25*X^4, -10*X*(15+71*X+112*X^2+38*X^3), -24000-77440*X-98716*X^2-63488*X^3-17456*X^4, 118800+126720*X-74160*X^2-161280*X^3-66240*X^4, 8475840+20583936*X+17368704*X^2+6045696*X^3+707328*X^4, 41472*(X+1)*(38*X^3+74*X^2-304*X-495), -82944*(2*X+13)*(2*X+3)*(17*X+39)*(X+1), -2985984*(X+1)*(2*X+5)*(2*X+3)*(X+3)] new_number: 7.16 id: 438 pols: [X^4, 2752*X^2+1216*X+176+3072*X^3-2304*X^4, -409600*X^2+2539520*X+589824-5242880*X^3+1638400*X^4, 203423744+377487360*X-1317011456*X^2+2617245696*X^3-150994944*X^4, 15032385536*X^2-92341796864*X-16106127360-274877906944*X^3-227633266688*X^4, -68444598829056*X^2-78340203479040*X-24532853194752-65970697666560*X^3+49478023249920*X^4, 10766417859182592+42432352739131392*X+62698551062298624*X^2+40532396646334464*X^3+7599824371187712*X^4, -1945555039024054272*(X+1)^4] new_number: 7.18 id: 440 pols: [27*X^4, 108-432*X^4+468*X+756*X^2+576*X^3, -99264*X^2-11520*X^4-23472-78528*X-61440*X^3, 501760*X^2-132096-34816*X+606208*X^3+217088*X^4, 16637952+589824*X^4+44793856*X+39354368*X^2+12582912*X^3, -402391040*X^2-26214400*X^4-72351744-302776320*X-188743680*X^3, 1329594368*X^2+240123904+926941184*X+805306368*X^3+150994944*X^4, -268435456*(X+1)^4] new_number: 7.19 id: 441 pols: [9*X^4, -6*X*(85*X^3+176*X^2+112*X+24), -26324*X^4-103232*X^3-154688*X^2-104736*X-27648, -433513*X^4-2497158*X^3-5333997*X^2-4967532*X-1724868, -3502786*X^4-26357516*X^3-71606042*X^2-81967576*X-33397896, -4*(X+1)*(3719315*X^3+30248511*X^2+79801768*X+66666732), -216*(X+1)*(X+2)*(144041*X^2+1060683*X+1963346), -10368*(X+3)*(X+2)*(X+1)*(2449*X+10862), -6870528*(X+1)*(X+2)*(X+3)*(X+4)] new_number: 8.72 id: 521 pols: [169*X^4, -13*X*(614*X^3+1804*X^2+1149*X+247), -775399*X^4-2692636*X^3-3693483*X^2-2450110*X-648960, -21633680*X^4-98465952*X^3-180653148*X^2-155183652*X-51353640, -312436544*X^4-1772359168*X^3-3939130976*X^2-3970125312*X-1491218016, -1536*(X+1)*(1717504*X^3+9940776*X^2+20063523*X+13933966), -73728*(X+1)*(X+2)*(178975*X^2+874119*X+1112486), -42467328*(X+3)*(X+2)*(X+1)*(857*X+2533), -42807066624*(X+1)*(X+2)*(X+3)*(X+4)] new_number: 8.73 id: 522 pols: [9*X^4, 7104*X^4+11904*X^3+10956*X^2+5004*X+936, 2301952*X^4+6307840*X^3+8641024*X^2+5549568*X+1359744, 441450496*X^4+1277165568*X^3+1851326464*X^2+1393754112*X+379748352, 61337501696*X^4+166161547264*X^3+171387650048*X^2+91477770240*X+18041798656, 6184752906240*X^4+17111149707264*X^3+17944373362688*X^2+5589899935744*X-132070244352, 439804651110400*X^4+1108307720798208*X^3+1459051930058752*X^2+829581523156992*X+173585398235136, 22517998136852480*X^4+58546795155816448*X^3+65583669573582848*X^2+35888059530608640*X+7881299347898368, 36028797018963968*(4*X+3)*(X+1)^2*(4*X+5)] new_number: 8.75 id: 524 # SUMMARY # FOUND: 31 # IDs: 59, 62, 76, 77, 78, 83, 102, 267, 268, 269, 270, 279, 316, 325, 327, 345, 346, 349, 350, 356, 357, 412, 413, 418, 419, 438, 440, 441, 521, 522, 524