# _____ _____ ___ # / __\ \ / / \| _ ) # | (__ \ 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, -25000*X^4-50000*X^3-58750*X^2-33750*X-7380, 62500*(5*X+4)*(5*X+6)*(10*X+9)*(10*X+11)] new_number: 2.39 id: 32 pols: [X^4, -6400000*X^4-12800000*X^3-14880000*X^2-8480000*X-1824880, 1024000000*(10*X+7)*(10*X+9)*(10*X+11)*(10*X+13)] new_number: 2.40 id: 34 pols: [X^4, -5832*X^4-11664*X^3-13770*X^2-7938*X-1746, 236196*(X+1)^2*(6*X+5)*(6*X+7)] new_number: 2.41 id: 35 pols: [X^4, -3456*X^4-6912*X^3-8184*X^2-4728*X-1044, 144*(12*X+11)^2*(12*X+13)^2] new_number: 2.42 id: 36 pols: [X^4, -8192*X^4-16384*X^3-19328*X^2-11136*X-2448, 4096*(8*X+7)^2*(8*X+9)^2] new_number: 2.43 id: 37 pols: [X^4, -524288*X^4-1048576*X^3-1224704*X^2-700416*X-151920, 67108864*(4*X+3)*(4*X+5)*(8*X+7)*(8*X+9)] new_number: 2.44 id: 38 pols: [X^4, -93312*X^4-186624*X^3-218376*X^2-125064*X-27180, 944784*(4*X+3)*(4*X+5)*(12*X+11)*(12*X+13)] new_number: 2.45 id: 39 pols: [X^4, -23887872*X^4-47775744*X^3-55655424*X^2-31767552*X-6870384, 247669456896*(4*X+3)*(4*X+5)*(6*X+5)*(6*X+7)] new_number: 2.46 id: 40 pols: [X^4, -32768*X^4-65536*X^3-76800*X^2-44032*X-9584, 16777216*(4*X+3)*(X+1)^2*(4*X+5)] new_number: 2.47 id: 41 pols: [X^4, -13824*X^4-27648*X^3-32520*X^2-18696*X-4092, 144*(24*X+19)*(24*X+23)*(24*X+25)*(24*X+29)] new_number: 2.48 id: 42 pols: [X^4, -221184*X^4-442368*X^3-515712*X^2-294528*X-63600, 36864*(24*X+17)*(24*X+23)*(24*X+25)*(24*X+31)] new_number: 2.49 id: 43 pols: [X^4, -1492992*X^4-2985984*X^3-3462912*X^2-1969920*X-421488, 61917364224*(X+1)^2*(3*X+2)*(3*X+4)] new_number: 2.50 id: 45 pols: [X^4, -55296*X^4-110592*X^3-129792*X^2-74496*X-16272, 589824*(6*X+5)^2*(6*X+7)^2] new_number: 2.51 id: 46 pols: [X^4, 264*X^4+528*X^3+586*X^2+322*X+70, 100*(X+1)^2*(228*X^2+456*X+335), 40000*(X+1)*(X+2)*(4*X+5)*(4*X+7)] new_number: 3.26 id: 88 pols: [X^4, 1520*X^4+3040*X^3+3628*X^2+2108*X+468, 48*(8*X+7)*(8*X+9)*(184*X^2+368*X+183), -2304*(8*X+7)*(8*X+9)*(8*X+15)*(8*X+17)] new_number: 3.30 id: 93 pols: [X^4, -16*(6*X^2+6*X-1)*(2*X+1)^2, -1024*(60*X^2+120*X+97)*(X+1)^2, -2097152*(X+1)^2*(X+2)^2] new_number: 3.32 id: 95 pols: [X^4, 340*X^2+288*X^3+44+196*X+144*X^4, 16*(8*X^2+16*X+11)*(48*X^2+96*X+49), 256*(4*X+7)^2*(4*X+5)^2] new_number: 3.33 id: 96 pols: [X^4, -1296*(X+1/2)^4-1152*(X+1/2)^2-33, 443232*(X+1)^4+90072*(X+1)^2+7308, -3779136*(X+3/2)^2*(4*(X+3/2)^2+3), 944784*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)] new_number: 4.10 id: 105 pols: [X^4, -972*(X+1/2)^4-864*(X+1/2)^2-99/4, 196830*(X+1)^4-251505/2*(X+1)^2-46413/4, 4782969*(X+3/2)^2*(4*(X+3/2)^2+3), 43046721/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)] new_number: 4.11 id: 106 pols: [X^4, -1188*(X+1/2)^4-1092*(X+1/2)^2-141/4, 535086*(X+1)^4+1287495/2*(X+1)^2+223011/4, -820125*(X+3/2)^2*(132*(X+3/2)^2+103), 922640625/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)] new_number: 4.12 id: 107 pols: [X^4, -2560*(X+1/2)^4-2296*(X+1/2)^2-70, 2162688*(X+1)^4+1824768*(X+1)^2+157968, -2097152*(X+3/2)^2*(320*(X+3/2)^2+237), 1073741824*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)] new_number: 4.13 id: 108 pols: [X^4, -4352*(X+1/2)^4-3788*(X+1/2)^2-101, 4743168*(X+1)^4-16128*(X+1)^2+5760, -16384*(X+3/2)^2*(1088*(X+3/2)^2+777), 262144*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)] new_number: 4.14 id: 109 pols: [X^4, -1792*(X+1/2)^4-1620*(X+1/2)^2-51, 1466368*(X+1)^4+2265344*(X+1)^2+196992, -1327104*(X+3/2)^2*(448*(X+3/2)^2+335), 1719926784*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)] new_number: 4.15 id: 110 pols: [X^4, -3072*(X+1/2)^4-2704*(X+1/2)^2-76, 2490368*(X+1)^4+462848*(X+1)^2+41472, -1048576*(X+3/2)^2*(192*(X+3/2)^2+139), 67108864*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)] new_number: 4.16 id: 111 pols: [X^4, -2304*(X+1/2)^4-2028*(X+1/2)^2-57, 1105920*(X+1)^4-725760*(X+1)^2-62928, 1327104*(X+3/2)^2*(192*(X+3/2)^2+139), 191102976*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)] new_number: 4.17 id: 112 pols: [X^4, -2816*(X+1/2)^4-2564*(X+1/2)^2-83, 3006464*(X+1)^4+3564800*(X+1)^2+308336, -2048000*(X+3/2)^2*(704*(X+3/2)^2+531), 4096000000*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)] new_number: 4.18 id: 113 pols: [X^4, -17280*(X+1/2)^4-15288*(X+1/2)^2-462, 98537472*(X+1)^4+80745984*(X+1)^2+7061904, -859963392*(X+3/2)^2*(240*(X+3/2)^2+169), 3962711310336*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)] new_number: 4.19 id: 114 pols: [X^4, -640*(X+1/2)^4-584*(X+1/2)^2-18, 135168*(X+1)^4+118272*(X+1)^2+10128, -131072*(X+3/2)^2*(80*(X+3/2)^2+63), 67108864*(X+2)^2*(2*X+3)*(2*X+5)] new_number: 4.1 id: 115 pols: [X^4, -29376*(X+1/2)^4-25212*(X+1/2)^2-645, 216110592*(X+1)^4-5987520*(X+1)^2+430272, -6718464*(X+3/2)^2*(816*(X+3/2)^2+553), 967458816*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)] new_number: 4.20 id: 116 pols: [X^4, -12096*(X+1/2)^4-10788*(X+1/2)^2-339, 8726976+101590848*(X+1)^2+66811392*(X+1)^4, -544195584*(X+3/2)^2*(336*(X+3/2)^2+239), 6347497291776*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)] new_number: 4.21 id: 117 pols: [X^4, -20736*(X+1/2)^4-18000*(X+1/2)^2-492, 113467392*(X+1)^4+18330624*(X+1)^2+1939968, -3869835264*(X+3/2)^2*(16*(X+3/2)^2+11), 247669456896*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)] new_number: 4.22 id: 118 pols: [X^4, -15552*(X+1/2)^4-13500*(X+1/2)^2-369, 50388480*(X+1)^4-34292160*(X+1)^2-2702160, 4897760256*(X+3/2)^2*(16*(X+3/2)^2+11), 705277476864*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)] new_number: 4.23 id: 119 pols: [X^4, -19008*(X+1/2)^4-17076*(X+1/2)^2-555, 136982016*(X+1)^4+159091776*(X+1)^2+13734000, -839808000*(X+3/2)^2*(528*(X+3/2)^2+379), 15116544000000*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)] new_number: 4.24 id: 120 pols: [X^4, -540*(X+1/2)^4-486*(X+1/2)^2-57/4, 72846*(X+1)^4+6915/2*(X+1)^2+3/4, 14580*(X+3/2)^4+12717*(X+3/2)^2+324, 9/16*(6*X+11)^2*(6*X+13)^2] new_number: 4.25 id: 121 pols: [X^4, -248*(X+1/2)^4-232*(X+1/2)^2-15/2, 18832*(X+1)^4+13806*(X+1)^2+1251, -428544*(X+3/2)^4-382296*(X+3/2)^2-9138, 9*(24*X+41)*(24*X+47)*(24*X+49)*(24*X+55)] new_number: 4.26 id: 122 pols: [X^4, -520*(X+1/2)^4-470*(X+1/2)^2-14, 69648*(X+1)^4+10908*(X+1)^2+724, -532480*(X+3/2)^4-439680*(X+3/2)^2-6896, 256*(8*X+13)*(8*X+15)*(8*X+17)*(8*X+19)] new_number: 4.27 id: 123 pols: [X^4, -1088*(X+1/2)^4-964*(X+1/2)^2-27, 296448*(X+1)^4+8256*(X+1)^2+192, -1024*(X+3/2)^2*(272*(X+3/2)^2+207), 16384*(X+2)^2*(2*X+3)*(2*X+5)] new_number: 4.2 id: 126 pols: [X^4, 164*(X+1/2)^4+156*(X+1/2)^2+21/4, 12974*(X+1)^4+45175/2*(X+1)^2+8835/4, 512500*(X+3/2)^4+461875*(X+3/2)^2+10840, 15625*(5*X+17/2)*(5*X+19/2)*(5*X+21/2)*(5*X+23/2)] new_number: 4.30 id: 127 pols: [X^4, -344*(X+1/2)^4-326*(X+1/2)^2-11, 43408*(X+1)^4+51724*(X+1)^2+4816, -2377728*(X+3/2)^4-2088192*(X+3/2)^2-41328, 147456*(3*X+5)*(3*X+7)*(6*X+11)*(6*X+13)] new_number: 4.31 id: 128 pols: [X^4, -472*(X+1/2)^4-446*(X+1/2)^2-15, 83344*(X+1)^4+102060*(X+1)^2+9252, -6524928*(X+3/2)^4-5576448*(X+3/2)^2-69888, 9216*(12*X+19)*(12*X+23)*(12*X+25)*(12*X+29)] new_number: 4.32 id: 129 pols: [X^4, -448*(X+1/2)^4-412*(X+1/2)^2-13, 91648*(X+1)^4+144448*(X+1)^2+12736, -82944*(X+3/2)^2*(112*(X+3/2)^2+89), 107495424*(X+2)^2*(2*X+3)*(2*X+5)] new_number: 4.3 id: 137 pols: [X^4, -768*(X+1/2)^4-688*(X+1/2)^2-20, 155648*(X+1)^4+33792*(X+1)^2+2560, -65536*(X+3/2)^2*(48*(X+3/2)^2+37), 4194304*(X+2)^2*(2*X+3)*(2*X+5)] new_number: 4.4 id: 148 pols: [X^4, -576*(X+1/2)^4-516*(X+1/2)^2-15, 69120*(X+1)^4-43200*(X+1)^2-4176, 82944*(X+3/2)^2*(48*(X+3/2)^2+37), 11943936*(X+2)^2*(2*X+3)*(2*X+5)] new_number: 4.5 id: 159 pols: [X^4, -704*(X+1/2)^4-652*(X+1/2)^2-21, 187904*(X+1)^4+228672*(X+1)^2+19824, -128000*(X+3/2)^2*(176*(X+3/2)^2+141), 256000000*(X+2)^2*(2*X+3)*(2*X+5)] new_number: 4.6 id: 170 pols: [X^4, -1080*(X+1/2)^4-978*(X+1/2)^2-30, 384912*(X+1)^4+331452*(X+1)^2+28512, -1679616*(X+3/2)^2*(30*(X+3/2)^2+23), 15116544*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)] new_number: 4.7 id: 179 pols: [X^4, -1836*(X+1/2)^4-1614*(X+1/2)^2-177/4, 844182*(X+1)^4+23571/2*(X+1)^2+2835/4, -6561*(X+3/2)^2*(204*(X+3/2)^2+151), 59049/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)] new_number: 4.8 id: 180 pols: [X^4, -756*(X+1/2)^4-690*(X+1/2)^2-87/4, 260982*(X+1)^4+815427/2*(X+1)^2+142947/4, -531441*(X+3/2)^2*(84*(X+3/2)^2+65), 387420489/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)] new_number: 4.9 id: 181 pols: [25*X^4, -6300-26700*X-39660*X^2-25920*X^3-6480*X^4, -8358480-26827200*X-34416576*X^2-20901888*X^3-6345216*X^4, 6714109440+20524907520*X+22513572864*X^2+9674588160*X^3+1128701952*X^4, 501439279104+1984258031616*X+2820142448640*X^2+1671768834048*X^3+313456656384*X^4, 15045919506432*(X+1)^4] new_number: 5.60 id: 272 pols: [X^4, -112464-565056*X-1684800*X^2-2239488*X^3+1679616*X^4, 67775864832-2902376448*X+113192681472*X^2-2229025112064*X^3+487599243264*X^4, -48452876117213184-163037583771697152*X-340699801303646208*X^2-155996093442686976*X^3-220994465710473216*X^4, 505427342754305802240-2190185151935325143040*X-2190185151935325143040*X^2-18195384339155008880640*X^4, 5659492344850773962234265600*(X+1)^4] new_number: 5.61 id: 273 pols: [X^4, -112*(X+1/2)^4-112*(X+1/2)^2-4, 4704*(X+1)^4+6390*(X+1)^2+675, -92416*(X+3/2)^4-130128*(X+3/2)^2-12852, 872704*(X+2)^4+995680*(X+2)^2+93337, -4608*(X+5/2)^2*(784*(X+5/2)^2+647), 1327104*(2*X+5)*(2*X+7)*(X+3)^2] new_number: 6.1 id: 403 pols: [X^4, -280*(X+1/2)^4-266*(X+1/2)^2-9, 27888*(X+1)^4+31638*(X+1)^2+3063, -1189120*(X+3/2)^4-1276704*(X+3/2)^2-75906, 21204736*(X+2)^4+11869760*(X+2)^2+941769, -1800*(4*X+9)*(4*X+11)*(4144*(X+5/2)^2+2435), 810000*(4*X+9)*(4*X+11)*(4*X+13)*(4*X+15)] new_number: 6.2 id: 414 pols: [X^4, -741*X^2-84-702*X^3-189*X^4-390*X, 84564*X^3+57672+195534*X^2+1458*X^4+171396*X, -6088608-6386040*X^2+1180980*X^4-12203460*X+2361960*X^3, -385944264*X-648121824*X^2-29760696*X^4-365631408*X^3-41570496, 16045266672*X-1836660096*X^3+8290479600*X^2-1836660096*X^4+7856823744, 1377495072*(3*X+5)*(3*X+4)*(2*X+3)^2] new_number: 6.35 id: 420 pols: [49*X^4, 98-336*X^3-840*X^4+126*X^2+294*X, -31108-25968*X^4-186660*X^2-120768*X^3-123144*X, 58112*X^4-440832*X^3-1217328-2142720*X^2-2782080*X, 61952+7815168*X^2+3895296*X+5259264*X^3+909312*X^4, 17874944+42074112*X+7864320*X^3+33030144*X^2-786432*X^4, -524288*(2*X+3)^4] new_number: 6.36 id: 421 pols: [X^4, -176-816*X-1536*X^3-1584*X^2-96*X^4, 167936+446976*X^2+459264*X-24576*X^3-113664*X^4, 7438336*X^4+101056512*X^3+80068608*X^2+14598144*X-10665984, -1278214144+3403677696*X^4+4592762880*X^3-816316416*X^2-3641180160*X, -426543939584-631360192512*X^3-1302180397056*X^2-1206348939264*X-112742891520*X^4, -420906795008*(2*X+3)^4] new_number: 6.37 id: 422 pols: [X^4, -168*X^4-598*X^2-528*X^3-334*X-74, 89772*X^2+75800*X+42560*X^3+24284+1040*X^4, 937856*X^2+2065920*X^3-1046784*X-830080+582400*X^4, -117092352*X^2-41107456+3829760*X^4-119742464*X-35471360*X^3, -3860594688*X-4028891136*X^2-1394343936-1875640320*X^3-325582848*X^4, -37748736*(3*X+5)^2*(3*X+4)^2] new_number: 6.38 id: 423 pols: [X^4, -88*X^3+4-71*X^4-42*X^2+2*X, -10462*X-13294*X^2-875*X^4-6848*X^3-3132, 3357*X^4-208620-403812*X-276444*X^2-57240*X^3, 679104*X^3-1214676*X-1229580+262116*X^2+149283*X^4, 22661694*X^2+492075*X^4+7820712+23317794*X+8345592*X^3, -4782969*X^4+73338858*X^2+162620946*X+103453848, -43046721*(X+2)^4] new_number: 7.20 id: 443 pols: [X^4, -243*X^4-1944*X^3-2106*X^2-1134*X-252, 1733562*X^2+1896858*X+784404-54675*X^4+489888*X^3, 125183880*X^3-55820988*X^2-269499636*X-193444524+36275769*X^4, -1784047437*X^4-44692062336*X^3-78421559724*X^2-49073261940*X-2582803260, 13321840934754*X+6276211921800+7896404406798*X^2-1016978783625*X^4-176663742984*X^3, 1220095597597920*X^3+3095992578904722*X^2+3523026038063994*X+1525119496997400+180472473811359*X^4, 5559060566555523*(X+2)^4] new_number: 7.21 id: 444 # SUMMARY # FOUND: 57 # IDs: 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 88, 93, 95, 96, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 126, 127, 128, 129, 137, 148, 159, 170, 179, 180, 181, 272, 273, 403, 414, 420, 421, 422, 423, 443, 444