# _____ _____ ___ # / __\ \ / / \| _ ) # | (__ \ 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, -4*(2*X+1)^2*(7*X^2+7*X+2), -128*(2*X+1)^2*(2*X+3)^2] new_number: 2.1 id: 11 pols: [X^4, -4*(2*X+1)^2*(5*X^2+5*X+2), 256*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 2.52 id: 47 pols: [X^4, -8*(2*X+1)^2*(3*X^2+3*X+1), 64*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 2.55 id: 50 pols: [X^4, -2*(2*X+1)^2*(13*X^2+13*X+4), -12*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)] new_number: 2.61 id: 57 pols: [X^4, -59*X^4-118*X^3-105*X^2-46*X-8, 96*(X+1)^2*(3*X+2)*(3*X+4)] new_number: 2.69 id: 65 pols: [X^4, -4*(2*X+1)^2*(5*X^2+5*X+2), 32*(2*X+1)*(2*X+3)*(7*X^2+14*X+8), -176*(2*X+1)*(2*X+3)^2*(2*X+5)] new_number: 3.31 id: 94 pols: [X^4, -113*X^4-226*X^3-173*X^2-60*X-8, -8*(X+1)^2*(119*X^2+238*X+92), -484*(X+1)*(X+2)*(2*X+1)*(2*X+5)] new_number: 3.9 id: 104 pols: [9*X^4, -2496*X^4-2688*X^3-1956*X^2-612*X-72, 16384*X^4-475136*X^3-822272*X^2-428544*X-72192, 9437184*X^4+37748736*X^3+30605312*X^2+9437184*X+983040, -16777216*(2*X+1)^4] new_number: 4.33 id: 130 pols: [25*X^4, -200-1550*X-4545*X^2-5990*X^3-2035*X^4, -87040-518400*X-1069824*X^2-895872*X^3-269184*X^4, -409600-3932160*X-12619776*X^2-15728640*X^3-5681152*X^4, -2097152*(2*X+1)^4] new_number: 4.42 id: 140 pols: [25*X^4, -2765*X^4-3610*X^3-3055*X^2-1250*X-200, 122496*X^4+302208*X^3+353216*X^2+192640*X+39040, -2805760*X^4-9830400*X^3-14196736*X^2-9093120*X-2048000, 524288*(2*X+1)*(30*X^3+105*X^2+122*X+46), -33554432*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 5.107 id: 189 pols: [49*X^4, -3598*X^4-7280*X^3-6090*X^2-2450*X-392, 53988*X^4+222144*X^3+324888*X^2+201348*X+45584, -137608*X^4-919968*X^3-1987728*X^2-1621032*X-443296, -92192*X^4-474688*X^3-770400*X^2-507856*X-118592, -96*(4*X+5)*(3*X+2)*(3*X+4)*(4*X+3)] new_number: 5.10 id: 192 pols: [9*X^4, -1464*X^4-1776*X^3-1392*X^2-504*X-72, 62128*X^4+85696*X^3+55216*X^2+20448*X+3648, -1032576*X^4-1716480*X^3-1648000*X^2-811008*X-158208, 6766592*X^4+17514496*X^3+19759104*X^2+10780672*X+2293760, -1572864*(X+1)^2*(3*X+2)*(3*X+4)] new_number: 5.110 id: 193 pols: [841*X^4, -6728-47937*X-132733*X^2-169592*X^3-87754*X^4, 5568+57768*X+239159*X^2+424220*X^3+258647*X^4, -76560-336864*X-581647*X^2-532614*X^3-272743*X^4, 75616+332792*X+552228*X^2+421124*X^3+130696*X^4, -3468*(X+1)^2*(3*X+2)*(3*X+4)] new_number: 5.24 id: 232 pols: [25*X^4, -200-1450*X-4095*X^2-5290*X^3-5285*X^4, 5760+48320*X+186816*X^2+365408*X^3+323936*X^4, -1305600-6528000*X-12342016*X^2-11919360*X^3-7931136*X^4, 180224*(2*X+1)*(234*X^3+591*X^2+581*X+202), -126877696*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 5.39 id: 248 pols: [529*X^4, -75233*X^4-116794*X^3-89608*X^2-31211*X-4232, 1357863*X^4+999924*X^3-787393*X^2-850862*X-205712, -6206392*X^4+2179848*X^3+1750568*X^2-1413672*X-801872, -980880*X^4+15278304*X^3+35445392*X^2+27267488*X+7128704, -1905152*(4*X+3)*(X+1)^2*(4*X+5)] new_number: 5.51 id: 262 pols: [9*X^4, -768*X^4-960*X^3-876*X^2-396*X-72, 24832*X^4+56320*X^3+67456*X^2+40320*X+9600, -385024*X^4-1179648*X^3-1626112*X^2-1069056*X-270336, 2883584*X^4+10485760*X^3+15335424*X^2+10092544*X+2490368, -8388608*(X+1)^4] new_number: 5.6 id: 282 pols: [X^4, -216*X^4-264*X^3-196*X^2-64*X-8, 6672*X^4-4896*X^3-19504*X^2-12416*X-2464, 42496*X^4+491520*X^3+406784*X^2+110592*X+5888, -28672*(2*X+1)*(38*X^3+45*X^2+12*X-2), -802816*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 5.73 id: 286 pols: [121*X^4, -19008*X^4-27456*X^3-20988*X^2-7260*X-968, 414208*X^4+151552*X^3-495712*X^2-413248*X-91520, -855040*X^4+9123840*X^3+12730560*X^2+6642240*X+1236400, -51200*(2*X+1)*(4*X+3)*(76*X^2+189*X+125), 2048000*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)] new_number: 5.88 id: 302 pols: [X^4, -40*X^4-200*X^3-156*X^2-56*X-8, 2832*X^4+18528*X^3+32112*X^2+18528*X+3680, 137984*X^4+344064*X^3-76800*X^2-273408*X-87040, 5120*(2*X+1)*(4*X^3-642*X^2-1002*X-385), -614400*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)] new_number: 5.96 id: 311 pols: [X^4, -8-52*X-120*X^2-136*X^3+92*X^4, 3712+16576*X+18464*X^2+3456*X^3+5664*X^4, -45056+142336*X+1206272*X^2+983040*X^3+363520*X^4, 3375104+16023552*X+32669696*X^2+40239104*X^3+14778368*X^4, 87031808+429916160*X+803209216*X^2+754974720*X^3+298844160*X^4, 67108864*(2*X+1)*(20*X^3+50*X^2+49*X+17), 2147483648*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 7.11 id: 433 pols: [169*X^4, -1352-9802*X-27651*X^2-35698*X^3-19565*X^4, -37024-166296*X-222964*X^2-8344*X^3+91844*X^4, -1664+86112*X+516192*X^2+899136*X^3+240768*X^4, -530688-1974144*X-2242816*X^2-795392*X^3-926848*X^4, 265216+971776*X+999680*X^2-462336*X^3-1558272*X^4, 225280+1794048*X+4510720*X^2+4159488*X^3+566272*X^4, 606208+2621440*X+4505600*X^2+3768320*X^3+1343488*X^4, 262144*(X+1)^4] new_number: 8.28 id: 472 pols: [X^4, -4*(3*X^2+3*X+1)*(7*X^2+7*X+2), 1440*X^4+2688*X^3+3744*X^2+2112*X+384, -21504*X^4+129024*X^3+395264*X^2+297984*X+77824, 606208*X^4+1212416*X^3+819200*X^2+212992*X+98304, 5505024*X^4+55050240*X^3+30932992*X^2-4980736*X-6291456, 94371840*X^4+201326592*X^3+283115520*X^2+201326592*X+50331648, 67108864*(3*X^2+3*X+1)*(7*X^2+7*X+2), 4294967296*(X+1)^4] new_number: 8.3 id: 485 pols: [9*X^4, -828*X^4-2088*X^3-1584*X^2-540*X-72, -24384*X^4-63552*X^3-59808*X^2-29664*X-6336, -436992*X^4-838656*X^3-462336*X^2-218880*X-59904, -4640768*X^4-8347648*X^3-4438016*X^2-1099776*X-36864, -34013184*X^4-52297728*X^3-53805056*X^2-25624576*X-4063232, -159907840*X^4-292552704*X^3-327680000*X^2-188743680*X-42991616, -436207616*X^4-1174405120*X^3-1392508928*X^2-805306368*X-184549376, -536870912*(X+1)^4] new_number: 8.41 id: 487 pols: [49*X^4, -6328*X^4-8960*X^3-7126*X^2-2646*X-392, 188624*X^4+312896*X^3+255852*X^2+124040*X+28000, -2471168*X^4-4829952*X^3-4988032*X^2-2776032*X-634816, 16892928*X^4+41109504*X^3+49575168*X^2+30080256*X+7218688, -64356352*X^4-192053248*X^3-259612672*X^2-168603648*X-42344448, 136839168*X^4+476577792*X^3+693960704*X^2+467927040*X+119799808, -142606336-574619648*X-864026624*X^2-578813952*X^3-150994944*X^4, 67108864*(X+1)^4] new_number: 8.43 id: 489 pols: [9*X^4, -348*X^4-2136*X^3-1608*X^2-540*X-72, -71456*X^4-81152*X^3-19424*X^2-4224*X-384, -1304576*X^4-7603200*X^3-20482048*X^2-13022208*X-2734080, 20799488*X^4-299319296*X^3-432332800*X^2-254951424*X-50724864, 1695547392*X^4+10245636096*X^3+4701814784*X^2-706740224*X-583008256, 38084280320*X^4+143344533504*X^3+115393691648*X^2+28789702656*X+536870912, -6442450944*(2*X+1)*(110*X^3+225*X^2+184*X+57), 1236950581248*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 8.49 id: 495 pols: [289*X^4, 17*X*(165*X^3-114*X^2-74*X-17), -20619*X^4-122880*X^3-175353*X^2-126480*X-36992, -403714*X^4-1707888*X^3-2875346*X^2-2348244*X-751944, -2285100*X^4-10846464*X^3-21206284*X^2-19426696*X-6777488, -24*(X+1)*(295815*X^3+1523993*X^2+2924668*X+1983212), -32*(X+1)*(X+2)*(558823*X^2+2951265*X+4136951), -14208*(X+3)*(X+2)*(X+1)*(2797*X+9878), -44158464*(X+1)*(X+2)*(X+3)*(X+4)] new_number: 8.68 id: 516 pols: [X^4, -80*X^4-136*X^3-116*X^2-48*X-8, 2000*X^4+5792*X^3+7536*X^2+4544*X+1056, -24448*X^4-77568*X^3-109440*X^2-75264*X-19712, 196608*X^4+565248*X^3+575488*X^2+274432*X+50176, -1097728*X^4-3112960*X^3-3055616*X^2-1015808*X-24576, 3997696*X^4+9830400*X^3+11337728*X^2+6094848*X+1245184, -9961472*X^4-26214400*X^3-29360128*X^2-16252928*X-3670016, 8388608*(X+1)^4] new_number: 8.69 id: 517 pols: [25*X^4, -3465*X^4-6210*X^3-4655*X^2-1550*X-200, -10544*X^4-159632*X^3-274784*X^2-163200*X-34560, -231520*X^4+619968*X^3+1110880*X^2+233280*X-49920, -3804416*X^4-10283008*X^3+18050816*X^2+22615552*X+6764544, -7140352*X^4-30091264*X^3-102255616*X^2-59848704*X-10100736, -113885184*X^4+421281792*X^3+565968896*X^2+237109248*X+27525120, -731348992*X^4-1813053440*X^3-1852342272*X^2-926351360*X-187432960, 95158272*(X+1)^2*(3*X+2)*(3*X+4)] new_number: 8.77 id: 526 pols: [27*X^4, -9*(12*X^2+11*X+3)*(20*X^2+21*X+8), 57897*X^4+236388*X^3+329631*X^2+190338*X+42048, -15470*X^4-866668*X^3-2069017*X^2-1671401*X-536214, -1138248*X^4-1706550*X^3+2534918*X^2+3025945*X+915072, 28756154*X^4+60366300*X^3-109333109*X^2-137943099*X-45737664, 32843719*X^4-191583028*X^3+237130805*X^2+463457074*X+223186208, -917154124*X^4+565053944*X^3+97751313*X^2-679349929*X-398163454, 3589458339*X^4-2727679080*X^3-1302482752*X^2+1396143960*X+694946880, -3875834064*X^4+6378788256*X^3+10027825626*X^2+5846409402*X+1012963496, -4650598542*X^4-19090869000*X^3-34002268178*X^2-28317110644*X-8486861952, 10491734292*X^4+26432909592*X^3+40873822030*X^2+29105531094*X+6228852988, -288759344*X^4+15641931968*X^3+54240861080*X^2+77914897600*X+41500692624, -8265991404*X^4-43706975640*X^3-108528668546*X^2-131359626262*X-6136537918, 2183781926*X^4-167328600*X^3-23820537918*X^2-55633057956*X-38821437536, 3135622840*X^4+22834384160*X^3+67110158186*X^2+92909410222*X+48020377596, -1103983063*X^4-1933621792*X^3+9275189128*X^2+33319252360*X+27425598384, -705082224*X^4-5828101416*X^3-16184631855*X^2-19448365707*X-8191408368, 271529091*X^4+779771556*X^3-897907005*X^2-6326404398*X-5912217216, 120339882*X^4+1104040116*X^3+3224178171*X^2+3696561747*X+1389201786, -32326992*X^4-51480360*X^3+200206512*X^2+587992284*X+394943472, -13846302*X^4-110333988*X^3-339723801*X^2-434312847*X-194347512, 2386179*X^4+6465420*X^3-7653447*X^2-34028910*X-24385536, 3645*(X+2)*(404*X^3+2048*X^2+3577*X+2149), 164025*(X+2)^4] new_number: 24.10 id: 585 pols: [25*X^4, -1180*X^4-6180*X^3-1200*X-200, -27056*X^4-15488*X^3+34544*X^2+59360*X+20480, 324608*X^4+435456*X^3-701952*X^2-1274880*X-392000, 5351936*X^4+372736*X^3+94208*X^2+25339392*X+13392640, -39143424*X^4-1400832*X^3+31778816*X^2-201297920*X-104938496, -330096640*X^4-349667328*X^3-2343223296*X^2-629268480*X+151121920, 2802810880*X^4-1430388736*X^3+6196723712*X^2+4305780736*X+641875968, 130547712*X^4+67549790208*X^3+93517250560*X^2+89209831424*X+43868684288, -103168344064*X^4-97055145984*X^3-128914030592*X^2-44288704512*X+11561861120, 486673481728*X^4-1551514992640*X^3-3177078325248*X^2-5325400834048*X-2936454250496, 607393939456*X^4+9957680349184*X^3-643297181696*X^2+1839370076160*X+964350181376, -11352101879808*X^4-17800894611456*X^3+40002520088576*X^2+105630123687936*X+73259609489408, 35167058001920*X^4-8681739517952*X^3-6729005793280*X^2-45903268282368*X-17250803253248, 7155952386048*X^4+242822418530304*X^3-290275364700160*X^2-1217829923717120*X-999384934252544, -325625093029888*X^4+185877594636288*X^3+933388735217664*X^2+2676103927824384*X+1856734763155456, 648501406990336*X^4+1926997206892544*X^3+8917108020740096*X^2+15142843504918528*X+9247532739723264, -1022906591084544*X^4-24296286396088320*X^3-99737472849674240*X^2-164284629375778816*X-95633923656122368, 7236641936637952*X^4+101713621662302208*X^3+415402296201969664*X^2+693981228004540416*X+412750136716820480, -19506985544187904*X^4-207351400324136960*X^3-882925979045986304*X^2-1556784220116877312*X-970641718175072256, -7718571626987520*X^4-12798315347312640*X^3+354271442562449408*X^2+1114856412053241856*X+900671546962477056, 98393096546418688*X^4+873240930872721408*X^3+2609149888805470208*X^2+3292623908817076224*X+1504184683355701248, -79164837199872000*X^4-892557151149490176*X^3-3141471846323453952*X^2-4518095588671094784*X-2324490726420774912, -106397541196627968*X^4-719450040472436736*X^3-1899956092796928000*X^2-2300213509679480832*X-1069041961547071488, 121597189939003392*(X+2)^4] new_number: 24.13 id: 588 pols: [27*X^4, -1836*X^4-3384*X^3-2916*X^2-1224*X-216, 37296*X^4+189696*X^3+263760*X^2+159648*X+40320, 388864*X^4-2341120*X^3-6157312*X^2-4724480*X-1470144, -23542272*X^4-23746560*X^3+73559040*X^2+70449664*X+22685952, 261416960*X^4+860798976*X^3-861919232*X^2-1167015936*X-446419968, 1410457600*X^4-8346075136*X^3+9430007808*X^2+15971803136*X+7600017408, -58932166656*X^4+31455707136*X^3-79405940736*X^2-128083623936*X-62516248576, 532305412096*X^4-160944881664*X^3+114259918848*X^2+299915673600*X+144917725184, -1241648201728*X^4+3979114184704*X^3+7868225945600*X^2+7213453148160*X+2661123096576, -10537484156928*X^4-45254292013056*X^3-88508112830464*X^2-81169007771648*X-28417419378688, 70671077998592*X^4+180696958107648*X^3+277366697885696*X^2+178168346443776*X+24593926455296, -35574710796288*X^4+320371811155968*X^3+1302336290947072*X^2+2015497189064704*X+1110830594654208, -760342221160448*X^4-4011241219555328*X^3-9972360413184000*X^2-11981235937083392*X-5551875180986368, 1547385985564672*X^4+4888686395129856*X^3+7321833686695936*X^2+4175711623446528*X+284169800253440, 2972999984611328*X^4+20564423672332288*X^3+52318003802406912*X^2+56006704252321792*X+18738217536716800, -9993233551589376*X^4-39729409560674304*X^3-51649747693338624*X^2+22817589285617664*X+59893142849060864, -4102638660485120*X^4-31822306049261568*X^3-18940651156537344*X^2+121644709457166336*X+150906304464945152, 25910335105925120*X^4+43449400994824192*X^3-308312062679842816*X^2-1164678857320562688*X-1012870180226727936, 9089112871010304*X^4+129134342147407872*X^3+481157833186869248*X^2+909074014821941248*X+663457960583757824, -23964955439005696*X^4+212293705090990080*X^3+1484481434985955328*X^2+2578781377646297088*X+1332128705794801664, -51633066040360960*X^4-536245015005888512*X^3-2124590716398075904*X^2-3120888988651487232*X-1478429722986676224, -12596005207801856*X^4-491173834360094720*X^3-213146926114144256*X^2-3341811660997263360*X-1821072730573766656, 132293239054008320*X^4+1063975411966279680*X^3+3149704989392240640*X^2+4120793659044003840*X+2023805082549616640, 112589990684262400*(X+2)^4] new_number: 24.16 id: 591 # SUMMARY # FOUND: 31 # IDs: 11, 47, 50, 57, 65, 94, 104, 130, 140, 189, 192, 193, 232, 248, 262, 282, 286, 302, 311, 433, 472, 485, 487, 489, 495, 516, 517, 526, 585, 588, 591