# _____ _____ ___ # / __\ \ / / \| _ ) # | (__ \ 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, -3*(3*X+1)*(3*X+2)*(10*X^2+10*X+3), 81*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)] new_number: 2.10 id: 1 pols: [X^4, -4*(4*X+1)*(4*X+3)*(10*X^2+10*X+3), 144*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)] new_number: 2.11 id: 2 pols: [X^4, -12*(6*X+1)*(6*X+5)*(10*X^2+10*X+3), 1296*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.12 id: 3 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, -12*(3*X+1)*(3*X+2)*(3*X^2+3*X+1), 288*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)] new_number: 2.14 id: 5 pols: [X^4, -16*(4*X+1)*(4*X+3)*(3*X^2+3*X+1), 512*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)] new_number: 2.15 id: 6 pols: [X^4, -48*(6*X+1)*(6*X+5)*(3*X^2+3*X+1), 4608*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.16 id: 7 pols: [X^4, -16*(2*X+1)^2*(8*X^2+8*X+3), 4096*(2*X+1)^2*(2*X+3)^2] new_number: 2.17 id: 8 pols: [X^4, -12*(3*X+1)*(3*X+2)*(8*X^2+8*X+3), 2304*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)] new_number: 2.18 id: 9 pols: [X^4, -48*(6*X+1)*(6*X+5)*(8*X^2+8*X+3), 36864*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.19 id: 10 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, -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, -9*(3*X+1)*(3*X+2)*(3*X^2+3*X+1), 243*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)] new_number: 2.21 id: 13 pols: [X^4, -12*(4*X+1)*(4*X+3)*(3*X^2+3*X+1), 432*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)] new_number: 2.22 id: 14 pols: [X^4, -36*(6*X+1)*(6*X+5)*(3*X^2+3*X+1), 3888*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.23 id: 15 pols: [X^4, -4*(2*X+1)^2*(17*X^2+17*X+6), 1152*(2*X+1)^2*(2*X+3)^2] new_number: 2.24 id: 16 pols: [X^4, -3*(3*X+1)*(3*X+2)*(17*X^2+17*X+6), 648*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)] new_number: 2.25 id: 17 pols: [X^4, -4*(4*X+1)*(4*X+3)*(17*X^2+17*X+6), 1152*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)] new_number: 2.26 id: 18 pols: [X^4, -12*(6*X+1)*(6*X+5)*(17*X^2+17*X+6), 10368*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.27 id: 19 pols: [X^4, -12*(2*X+1)^2*(18*X^2+18*X+7), 11664*(2*X+1)^2*(2*X+3)^2] new_number: 2.28 id: 20 pols: [X^4, -9*(3*X+1)*(3*X+2)*(18*X^2+18*X+7), 6561*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)] new_number: 2.29 id: 21 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, -36*(6*X+1)*(6*X+5)*(18*X^2+18*X+7), 104976*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.30 id: 23 pols: [X^4, -16*(2*X+1)^2*(32*X^2+32*X+13), 65536*(2*X+1)^2*(2*X+3)^2] new_number: 2.31 id: 24 pols: [X^4, -12*(3*X+1)*(3*X+2)*(32*X^2+32*X+13), 36864*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)] new_number: 2.32 id: 25 pols: [X^4, -16*(4*X+1)*(4*X+3)*(32*X^2+32*X+13), 65536*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)] new_number: 2.33 id: 26 pols: [X^4, -48*(6*X+1)*(6*X+5)*(32*X^2+32*X+13), 589824*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.34 id: 27 pols: [X^4, -48*(2*X+1)^2*(72*X^2+72*X+31), 2985984*(2*X+1)^2*(2*X+3)^2] new_number: 2.35 id: 28 pols: [X^4, -36*(3*X+1)*(3*X+2)*(72*X^2+72*X+31), 1679616*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)] new_number: 2.36 id: 29 pols: [X^4, -48*(4*X+1)*(4*X+3)*(72*X^2+72*X+31), 2985984*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)] new_number: 2.37 id: 30 pols: [X^4, -144*(6*X+1)*(6*X+5)*(72*X^2+72*X+31), 26873856*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.38 id: 31 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, -4*(4*X+1)*(4*X+3)*(7*X^2+7*X+2), -128*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)] new_number: 2.3 id: 33 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, -12*(6*X+1)*(6*X+5)*(7*X^2+7*X+2), -1152*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.4 id: 44 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, -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, -2*(2*X+1)^2*(17*X^2+17*X+5), 4*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 2.53 id: 48 pols: [X^4, -2*(2*X+1)^2*(7*X^2+7*X+3), 324*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 2.54 id: 49 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, -6*(2*X+1)^2*(3*X^2+3*X+1), -108*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 2.56 id: 51 pols: [X^4, -2*(2*X+1)^2*(11*X^2+11*X+5), 500*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 2.57 id: 52 pols: [X^4, -6*(2*X+1)^2*(9*X^2+9*X+5), 2916*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 2.58 id: 53 pols: [X^4, -48*(2*X+1)^2*(18*X^2+18*X+13), 746496*(2*X+1)*(X+1)^2*(2*X+3)] new_number: 2.59 id: 54 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*(3*X^2+3*X+1), -16*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)] new_number: 2.60 id: 56 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, -65*X^4-130*X^3-105*X^2-40*X-6, 4*(4*X+3)*(X+1)^2*(4*X+5)] new_number: 2.62 id: 58 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, -43*X^4-86*X^3-77*X^2-34*X-6, 12*(X+1)^2*(6*X+5)*(6*X+7)] new_number: 2.64 id: 60 pols: [X^4, 4*(2*X+1)^2*(7*X^2+7*X+3), 48*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)] new_number: 2.65 id: 61 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, -216*X^4-396*X^3-366*X^2-168*X-30, 36*(3*X+2)^2*(6*X+7)^2] new_number: 2.67 id: 63 pols: [X^4, -512*X^4-896*X^3-788*X^2-340*X-56, 128*(2*X+1)*(4*X+5)*(8*X+5)*(8*X+9)] new_number: 2.68 id: 64 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, -3*(3*X+1)*(3*X+2)*(11*X^2+11*X+3), -9*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)] new_number: 2.6 id: 66 pols: [X^4, -216-948*X-1652*X^2-1408*X^3-512*X^4, 128*(4*X+5)*(2*X+3)*(8*X+9)*(8*X+13)] new_number: 2.70 id: 67 pols: [X^4, -4*(4*X+1)*(4*X+3)*(11*X^2+11*X+3), -16*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)] new_number: 2.7 id: 68 pols: [X^4, -12*(6*X+1)*(6*X+5)*(11*X^2+11*X+3), -144*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)] new_number: 2.8 id: 69 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, -256*X^4-512*X^3-448*X^2-192*X-32, 256*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)] new_number: 2.71 id: 614 # SUMMARY # FOUND: 71 # IDs: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 614