# _____ _____ ___ # / __\ \ / / \| _ ) # | (__ \ 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, -16*(2*X+1)^2*(3*X^2+3*X+1), 512*(2*X+1)^2*(2*X+3)^2] new_number: 2.13 id: 4 pols: [X^4, -16-98*X-235*X^2-274*X^3-145*X^4, 8*(2*X+1)*(4*X+5)*(97*X^2+190*X+120), -1296*(4*X+5)*(2*X+3)*(2*X+1)*(4*X+9)] new_number: 3.29 id: 91 pols: [X^4, -368*X^4-224*X^3-208*X^2-96*X-16, 2048*X*(21*X^3+24*X^2+18*X+4), -65536*(2*X+1)*(10*X^3+7*X^2-5*X-4), -8388608*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 4.35 id: 132 pols: [X^4, -320*X^4-896*X^3-608*X^2-160*X-16, -86016*X^4-245760*X^3-267264*X^2-137216*X-25600, -65536*(2*X+1)^2*(23*X^2+55*X+39), -8388608*(2*X+1)^2*(2*X+3)^2] new_number: 4.41 id: 139 pols: [X^4, -16-128*X-400*X^2-544*X^3-80*X^4, 16384+96256*X+184320*X^2+96256*X^3+10240*X^4, 327680+3145728*X+10158080*X^2+12582912*X^3+3342336*X^4, 8388608*(2*X+1)^4] new_number: 4.65 id: 165 pols: [X^4, -16-80*X-161*X^2-162*X^3-81*X^4, 3520+11840*X+15616*X^2+9696*X^3+2424*X^4, -64*(124*X^2+372*X+263)*(2*X+3)^2, 38400*(X+1)*(2*X+5)*(2*X+3)*(X+3)] new_number: 4.77 id: 178 pols: [X^4, -2000*X^4+992*X^3+496*X^2-16, 1310720*X^4-587776*X^3+772096*X^2+243712*X+22528, -335609856*X^4-321650688*X^3-341639168*X^2-162791424*X-32964608, 48091889664*X^4+117121744896*X^3+131625648128*X^2+73064775680*X+16139681792, -2903397892096*(X+1)^4] new_number: 5.105 id: 187 pols: [X^4, -396*X^4-312*X^3-260*X^2-104*X-16, 60032*X^4+88448*X^3+81216*X^2+35456*X+5888, -4271104*X^4-8945664*X^3-8898560*X^2-4042752*X-696320, 163840*(2*X+1)*(418*X^3+951*X^2+846*X+260), -39321600*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)] new_number: 5.108 id: 190 pols: [X^4, 624*X^4-672*X^3-464*X^2-128*X-16, 2048*X*(37*X^3-137*X^2-10*X-1), -11862016*X^4-29884416*X^3-23134208*X^2-8650752*X-1245184, -1509949440*X^4-2516582400*X^3-1509949440*X^2-251658240*X+41943040, 26843545600*(X+1)^4] new_number: 5.11 id: 203 pols: [X^4, -656*X^4-544*X^3-400*X^2-128*X-16, 129024*X^4+110592*X^3+33792*X^2+6144*X+1024, -9240576*X^4-8257536*X^3-7028736*X^2-3194880*X-557056, 2097152*(2*X+1)*(44*X^3+78*X^2+59*X+17), -268435456*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 5.120 id: 204 pols: [X^4, 448*X^4-640*X^3-448*X^2-128*X-16, 49152*X^4-98304*X^3+139264*X^2+81920*X+16384, 3145728*X^4+18874368*X^3+9175040*X^2-786432*X-1048576, 67108864*(2*X+1)*(4*X^3-6*X^2-15*X-7), -17179869184*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 5.123 id: 207 pols: [X^4, -465*X^4-594*X^3-431*X^2-134*X-16, 42000*X^4+30576*X^3-15136*X^2-14144*X-2816, -1030720*X^4+231936*X^3+335424*X^2+82176*X+2304, -2222080*X^4-4788224*X^3-4386816*X^2-1992704*X-372736, 3211264*(X+1)^4] new_number: 5.16 id: 223 pols: [49*X^4, -784-6370*X-19558*X^2-26376*X^3-14784*X^4, -43008-217392*X-270444*X^2+164064*X^3+273120*X^4, 178080+1256976*X+3122752*X^2+2593920*X^3-852992*X^4, -1216*(1189*X^2+2533*X+1646)*(2*X+1)^2, 739328*(2*X+1)^2*(2*X+3)^2] new_number: 5.29 id: 237 pols: [X^4, -128*X^4-544*X^3-400*X^2-128*X-16, -22272*X^4-38400*X^3-8192*X^2+512*X+256, -827392*X^4-983040*X^3-864256*X^2-417792*X-77824, -196608*(2*X+1)*(22*X^3+45*X^2+38*X+12), -9437184*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 5.89 id: 303 pols: [X^4, 288*X^4-768*X^3-528*X^2-144*X-16, -44032*X^4-262144*X^3-64000*X^2-23040*X-5120, -18644992*X^4-33423360*X^3-30851072*X^2-14401536*X-2572288, -3670016*(2*X+1)*(186*X^3+375*X^2+317*X+100), -6576668672*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 5.91 id: 306 pols: [X^4, -352*X^4-128*X^3-144*X^2-80*X-16, 48128*X^4+45056*X^3+49664*X^2+23040*X+4096, -3178496*X^4-5505024*X^3-6078464*X^2-3194880*X-671744, 100663296*X^4+276824064*X^3+341311488*X^2+202899456*X+47185920, -1207959552*(X+1)^4] new_number: 5.9 id: 315 pols: [X^4, -16-84*X-180*X^2-192*X^3-192*X^4, 5952+23296*X+37760*X^2+31296*X^3+16704*X^4, -694592-2356032*X-3250880*X^2-2280192*X^3-865920*X^4, 40713984+127266816*X+158593536*X^2+98319360*X^3+29657088*X^4, -1449089024-4294181888*X-4970619904*X^2-2780086272*X^3-701853696*X^4, 34139856896+96861929472*X+105196011520*X^2+53599420416*X^3+11625332736*X^4, -543702794240-1480077656064*X-1512235352064*X^2-705261797376*X^3-132992630784*X^4, 5684261224448+14858703339520*X+14290280382464*X^2+6101819719680*X^3+1003990745088*X^4, -13107200*(2*X+3)*(171838*X^3+939735*X^2+1668155*X+905358), 2272788480000*(X+1)*(2*X+5)*(2*X+3)*(X+3)] new_number: 10.7 id: 323 pols: [10404*X^4, -102*X*(116*X^3+1414*X^2+911*X+204), -2596259*X^4-9892670*X^3-14508941*X^2-9947652*X-2663424, -25685301*X^4-125234088*X^3-239004708*X^2-206933112*X-67967496, -112357900*X^4-687051032*X^3-1587508748*X^2-1608054100*X-598491604, -254678692*X^4-1927713868*X^3-5273754198*X^2-6085656898*X-2495389956, -283337071*X^4-2758627602*X^3-9101625228*X^2-11995897911*X-5385015134, -86504770*X^4-1555791344*X^3-7075746650*X^2-11209872916*X-5612134720, 12*(X+1)*(7613560*X^3+27844427*X^2-51849552*X-134696600), (X+1)*(X+2)*(60585089*X^2+495871401*X+595115780), -600*(X+3)*(X+2)*(X+1)*(10279*X-113205), -6790000*(X+1)*(X+2)*(X+3)*(X+4)] new_number: 11.6 id: 343 pols: [X^4, -13*X^4-14*X^3-16*X^2-9*X-2, 33*X^4-88*X^3-265*X^2-324*X-148, 217*X^4+2362*X^3+6403*X^2+8178*X+4160, -1354*X^4-8268*X^3-16178*X^2-12420*X-720, 1812*X^4-15192*X^3-139320*X^2-347460*X-301320, 7580*X^4+149208*X^3+707964*X^2+1423392*X+1075344, -38540*X^4-356680*X^3-743540*X^2+429576*X+2089856, 47256*X^4-85088*X^3-3329000*X^2-13330608*X-16415360, 94304*X^4+2569088*X^3+16637888*X^2+42511200*X+38564800, -391808*X^4-5430528*X^3-25443520*X^2-46255680*X-22811520, 433728*X^4+2572416*X^3-8937408*X^2-87598848*X-152957952, 1152*(X+4)*(371*X^3+8580*X^2+53325*X+101564), -27648*(X+4)*(X+5)*(51*X^2+519*X+1330), 829440*(X+4)*(X+5)^2*(X+6)] new_number: 14.1 id: 380 pols: [49*X^4, -20832*X^4-20328*X^3-15750*X^2-5586*X-784, 3065568*X^4+4739808*X^3+4043188*X^2+1816304*X+335104, -207097856*X^4-453667200*X^3-491369152*X^2-256875696*X-51444064, 6782284032*X^4+21334995456*X^3+27915672384*X^2+16721014848*X+3660106624, -260096*(X+1)*(390972*X^3+1350660*X^2+1486781*X+460439), 139792236544*(X+1)*(X+2)*(2*X+1)*(2*X+5)] new_number: 6.3 id: 425 pols: [X^4, -16-112*X-320*X^2-416*X^3-208*X^4, 5120+29184*X+63744*X^2+49152*X^3+2304*X^4, -245760-1302528*X-2330624*X^2+1007616*X^3+1552384*X^4, 31064064+122028032*X+112852992*X^2-167772160*X^3-49086464*X^4, -368050176-1976565760*X-3571449856*X^2+136314880*X^3-3421503488*X^4, 9160359936+20937965568*X+3707764736*X^2+20937965568*X^3+102726893568*X^4, 181462368256+1179505393664*X+3039494668288*X^2+3719978549248*X^3+1859989274624*X^4, -5806795784192*(X+1)^4] new_number: 8.19 id: 462 pols: [25*X^4, -400-2650*X-7145*X^2-8990*X^3-6535*X^4, 145920+693440*X+1290656*X^2+1202608*X^3+581776*X^4, -7573760-34924800*X-61879360*X^2-60747264*X^3-27829184*X^4, 38162432+450230272*X+1339490304*X^2+1731543040*X^3+835303424*X^4, 754122752-4692049920*X-23945412608*X^2-31120424960*X^3-16103112704*X^4, 4657774592+75428265984*X+254757830656*X^2+322600697856*X^3+189502849024*X^4, -43553652736-458420649984*X-1540618190848*X^2-2164395081728*X^3-1119845613568*X^4, -259845521408*(X+1)^4] new_number: 8.27 id: 471 pols: [X^4, -544*X^4-704*X^3-496*X^2-144*X-16, 48128*X^4-7168*X^3-86016*X^2-50176*X-9728, -1507328*X^4+4521984*X^3+6164480*X^2+2248704*X+245760, 1835008*X^4-179568640*X^3-10092544*X^2+60817408*X+21692416, 710934528*X^4+1170210816*X^3-3142582272*X^2-2406481920*X-529530880, -6308233216*X^4+37648072704*X^3+34091302912*X^2+8858370048*X-402653184, -123480309760*X^4-214748364800*X^3-130191196160*X^2-22817013760*X+2684354560, -107374182400*(X+1)^4] new_number: 8.56 id: 503 pols: [X^4, -512*X^4-256*X^3-224*X^2-96*X-16, 88064*X^4+180224*X^3+188416*X^2+77824*X+13312, -3997696*X^4-33423360*X^3-40632320*X^2-21430272*X-4456448, -461373440*X^4+1090519040*X^3+3951034368*X^2+2550136832*X+591396864, 47513075712*X^4+144955146240*X^3-44694503424*X^2-82543902720*X-26642219008, 575525617664*X^4-6597069766656*X^3-6390911336448*X^2-2113123909632*X-124554051584, -100330436034560*X^4-233646220902400*X^3-230897441832960*X^2-114074331381760*X-23364622090240, -439804651110400*(X+1)^4] new_number: 8.64 id: 512 pols: [X^4, -304*X^4-416*X^3-320*X^2-112*X-16, 31232*X^4+48128*X^3+45568*X^2+24064*X+5120, -2195456*X^4-2555904*X^3-606208*X^2-294912*X-98304, 100663296*X^4+113246208*X^3+30408704*X^2-16777216*X-8912896, -3204448256*X^4-2650800128*X^3-3070230528*X^2-1140850688*X-100663296, 67108864000*X^4+74088185856*X^3+72477573120*X^2+38654705664*X+8589934592, -687194767360*X^4-1580547964928*X^3-1614907703296*X^2-824633720832*X-171798691840, 2199023255552*(X+1)^4] new_number: 8.70 id: 519 pols: [X^4, -16*(2*X+1)^4] new_number: 1.3 id: 559 pols: [225*X^4, -3600-28350*X-85965*X^2-115230*X^3-60945*X^4, 299040+1655580*X+3487426*X^2+3302548*X^3+1210456*X^4, -9391920-47583720*X-80265896*X^2-36928992*X^3-489812*X^4, 108531424+457254800*X+559975368*X^2+26995232*X^3-113237888*X^4, -459370368-1440667968*X-188527568*X^2+2703382144*X^3+487624576*X^4, -664307712-5484702912*X-13980708608*X^2-11759384064*X^3+1758486528*X^4, -947968*(2*X+1)*(8454*X^3+5577*X^2-4303*X-3155), 610491392*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)] new_number: 8.88 id: 615 # SUMMARY # FOUND: 27 # IDs: 4, 91, 132, 139, 165, 178, 187, 190, 203, 204, 207, 223, 237, 303, 306, 315, 323, 343, 380, 425, 462, 471, 503, 512, 519, 559, 615