Calabi-Yau differential operator database v.3.0

1

New Number: 2.15 | AESZ: 38 | Superseeker: 48 73328 | Hash: 9ce26bb7405c3b98d8aeae5b1102c611

Degree: 2

$\theta^4-2^{4} x(4\theta+1)(4\theta+3)(3\theta^2+3\theta+1)+2^{9} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)$

Coefficients of the holomorphic solution: 1, 48, 8400, 2069760, 609008400, ...
--> OEIS
Normalized instanton numbers (n₀=1): 48, 998, 73328, 7388135, 857248528, ... ; Common denominator:...

Discriminant

$(512z-1)(256z-1)$

Local exponents

$0$ $\frac{ 1}{ 512}$ $\frac{ 1}{ 256}$ $\infty$
$0$ $0$ $0$ $\frac{ 1}{ 4}$
$0$ $1$ $1$ $\frac{ 3}{ 4}$
$0$ $1$ $1$ $\frac{ 5}{ 4}$
$0$ $2$ $2$ $\frac{ 7}{ 4}$

\(0\)	\(\frac{ 1}{ 512}\)	\(\frac{ 1}{ 256}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 4}\)
\(0\)	\(1\)	\(1\)	\(\frac{ 3}{ 4}\)
\(0\)	\(1\)	\(1\)	\(\frac{ 5}{ 4}\)
\(0\)	\(2\)	\(2\)	\(\frac{ 7}{ 4}\)

Note:

Hadamard product $C\ast d$

Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, 48, 8032, 1979904, 472848672, 107156066048, 24205631604736, 5536680545574912,...
Coefficients of the q-coordinate : 0, 1, -208, 32000, -4613120, 605381040, -78889707008, 9643425928192,...

	Gopakumar-Vafa invariants
g=0	,...
g=1	,...
g=2	,...

Explicit solution

$A_{n}=\dbinom{2n}{n}\dbinom{4n}{2n}\sum_{k=0}^{n}\dbinom{n}{k}\dbinom{2k}{k}\dbinom{2n-2k}{n-k}$

Maple LaTex

Characteristic classes:

$C_3$	$C_2 H$	$H^3$	$ \vert H \vert$
$-268$	$88$	$16$	$10$

Monodromy (with respect to Frobenius basis)

$1$	$-1$	$\frac{ 1}{ 2}$	$-\frac{ 1}{ 6}$
$0$	$1$	$-1$	$\frac{ 1}{ 2}$
$0$	$0$	$1$	$-1$
$0$	$0$	$0$	$1$

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$1+268\lambda$	$0$	$Iarctan(\frac{ 173}{ 564})$	$.105419378$
$\frac{ 11}{ 3}$	$1$	$\frac{ 121}{ 144}$	$-Iarctan(\frac{ 173}{ 564})$
$0$	$0$	$1$	$0$
$16$	$0$	$\frac{ 11}{ 3}$	$1-268\lambda$

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$\frac{ 19}{ 6}+4Iln(2)^{ \frac{ 6}{ 5}}Zeta(5)^(\frac{ 2}{ 9})$	$-\frac{ 13}{ 24}-134\lambda$	$.49652777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777778+.595253091I$	$.64137367e-1-.351740463I$
$\frac{ 22}{ 3}+\frac{ 3}{ 1000000000}I$	$-\frac{ 5}{ 6}+\frac{ 1}{ 500000000}I$	$\frac{ 121}{ 72}-\frac{ 1}{ 500000000}I$	$-.49652777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777778-.595253091I$
$8+\frac{ 3}{ 1000000000}I$	$-2+\frac{ 1}{ 500000000}I$	$\frac{ 17}{ 6}-\frac{ 1}{ 500000000}I$	$-\frac{ 13}{ 24}-134\lambda$
$32+\frac{ 7}{ 500000000}I$	$-8+\frac{ 7}{ 1000000000}I$	$\frac{ 22}{ 3}-\frac{ 7}{ 1000000000}I$	$-\frac{ 7}{ 6}-4Iln(2)^{ \frac{ 6}{ 5}}Zeta(5)^(\frac{ 2}{ 9})$

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Basis of the Doran-Morgan lattice

$-268\lambda$	$\frac{ 19}{ 3}$	$1$	$1$
$-\frac{ 11}{ 3}$	$-8$	$-1$	$0$
$0$	$16$	$0$	$0$
$-16$	$0$	$0$	$0$

copy data

2

New Number: 4.45 | AESZ: 233 | Superseeker: 80 104976 | Hash: 03f67459f6d678669f766c99281b1e79

Degree: 4

$\theta^4-2^{4} x\left(83\theta^4+94\theta^3+71\theta^2+24\theta+3\right)+2^{11} 3 x^{2}\left(101\theta^4+191\theta^3+174\theta^2+71\theta+10\right)-2^{16} 3^{2} x^{3}\left(203\theta^4+432\theta^3+333\theta^2+102\theta+11\right)+2^{23} 3^{3} x^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 48, 9360, 2553600, 813027600, ...
--> OEIS
Normalized instanton numbers (n₀=1): 80, 2794, 104976, 5367454, 508265072, ... ; Common denominator:...

Discriminant

$(512z-1)(432z-1)(-1+192z)^2$

Local exponents

$0$ $\frac{ 1}{ 512}$ $\frac{ 1}{ 432}$ $\frac{ 1}{ 192}$ $\infty$
$0$ $0$ $0$ $0$ $\frac{ 1}{ 3}$
$0$ $1$ $1$ $1$ $\frac{ 1}{ 2}$
$0$ $1$ $1$ $3$ $\frac{ 1}{ 2}$
$0$ $2$ $2$ $4$ $\frac{ 2}{ 3}$

\(0\)	\(\frac{ 1}{ 512}\)	\(\frac{ 1}{ 432}\)	\(\frac{ 1}{ 192}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 3}\)
\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(3\)	\(\frac{ 1}{ 2}\)
\(0\)	\(2\)	\(2\)	\(4\)	\(\frac{ 2}{ 3}\)

Note:

Sporadic Operator.

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-72\)	\(64\)	\(16\)	\(8\)

3

New Number: 5.101 | AESZ: 348 | Superseeker: -52 -44772 | Hash: 8759f016475d17d0fc88f4b98a374d3f

Degree: 5

$\theta^4+2^{2} x\left(70\theta^4+194\theta^3+145\theta^2+48\theta+6\right)-2^{4} 3 x^{2}\left(141\theta^4-858\theta^3-2111\theta^2-1192\theta-206\right)-2^{8} 3^{2} x^{3}\left(18\theta^4-324\theta^3-2364\theta^2-1953\theta-403\right)-2^{10} 3^{4} x^{4}(3\theta+1)(3\theta+2)(42\theta^2+258\theta+223)+2^{14} 3^{6} x^{5}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -24, 2160, -309120, 54608400, ...
--> OEIS
Normalized instanton numbers (n₀=1): -52, 461/2, -44772, 3546761/2, -178670332, ... ; Common denominator:...

Discriminant

$(746496z^3+17280z^2+352z+1)(-1+36z)^2$

Local exponents

≈$-0.009925-0.017537I$ ≈$-0.009925+0.017537I$ ≈$-0.003299$ $0$ $\frac{ 1}{ 36}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 3}$
$1$ $1$ $1$ $0$ $1$ $\frac{ 2}{ 3}$
$1$ $1$ $1$ $0$ $3$ $\frac{ 4}{ 3}$
$2$ $2$ $2$ $0$ $4$ $\frac{ 5}{ 3}$

≈\(-0.009925-0.017537I\)	≈\(-0.009925+0.017537I\)	≈\(-0.003299\)	\(0\)	\(\frac{ 1}{ 36}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 3}\)
\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(\frac{ 2}{ 3}\)
\(1\)	\(1\)	\(1\)	\(0\)	\(3\)	\(\frac{ 4}{ 3}\)
\(2\)	\(2\)	\(2\)	\(0\)	\(4\)	\(\frac{ 5}{ 3}\)

Note:

This is operator "5.101" from ...

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-114\)	\(40\)	\(16\)	\(6\)

4

New Number: 5.14 | AESZ: 116 | Superseeker: 64 23360 | Hash: 0b366ad8c78b6697205c5a7fff270f5b

Degree: 5

$\theta^4-2^{5} x\left(10\theta^4+26\theta^3+20\theta^2+7\theta+1\right)+2^{8} x^{2}\left(52\theta^4+472\theta^3+832\theta^2+492\theta+103\right)+2^{16} x^{3}\left(14\theta^4+12\theta^3-96\theta^2-105\theta-29\right)-2^{18} x^{4}(2\theta+1)(56\theta^3+468\theta^2+646\theta+249)-2^{24} x^{5}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 32, 2448, 273920, 38525200, ...
--> OEIS
Normalized instanton numbers (n₀=1): 64, 12, 23360, 654490, 53956288, ... ; Common denominator:...

Discriminant

$-(-1+256z)(32z+1)^2(64z-1)^2$

Local exponents

$-\frac{ 1}{ 32}$ $0$ $\frac{ 1}{ 256}$ $\frac{ 1}{ 64}$ $\infty$
$0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $\frac{ 1}{ 2}$ $\frac{ 3}{ 4}$
$3$ $0$ $1$ $\frac{ 1}{ 2}$ $\frac{ 5}{ 4}$
$4$ $0$ $2$ $1$ $\frac{ 3}{ 2}$

\(-\frac{ 1}{ 32}\)	\(0\)	\(\frac{ 1}{ 256}\)	\(\frac{ 1}{ 64}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(\frac{ 1}{ 2}\)	\(\frac{ 3}{ 4}\)
\(3\)	\(0\)	\(1\)	\(\frac{ 1}{ 2}\)	\(\frac{ 5}{ 4}\)
\(4\)	\(0\)	\(2\)	\(1\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.14" from ...

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(40\)	\(40\)	\(16\)	\(6\)

5

New Number: 5.73 | AESZ: 293 | Superseeker: 20 13188 | Hash: f19eeaee48396d15d7cf7be47d7d48a7

Degree: 5

$\theta^4-2^{2} x\left(54\theta^4+66\theta^3+49\theta^2+16\theta+2\right)+2^{4} x^{2}\left(417\theta^4-306\theta^3-1219\theta^2-776\theta-154\right)+2^{8} x^{3}\left(166\theta^4+1920\theta^3+1589\theta^2+432\theta+23\right)-2^{12} 7 x^{4}(2\theta+1)(38\theta^3+45\theta^2+12\theta-2)-2^{14} 7^{2} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 8, 528, 45440, 4763920, ...
--> OEIS
Normalized instanton numbers (n₀=1): 20, 867/2, 13188, 609734, 35512476, ... ; Common denominator:...

Discriminant

$-(16z+1)(256z^2+176z-1)(-1+28z)^2$

Local exponents

$-\frac{ 11}{ 32}-\frac{ 5}{ 32}\sqrt{ 5}$ $-\frac{ 1}{ 16}$ $0$ $-\frac{ 11}{ 32}+\frac{ 5}{ 32}\sqrt{ 5}$ $\frac{ 1}{ 28}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $1$ $0$ $1$ $1$ $1$
$1$ $1$ $0$ $1$ $3$ $1$
$2$ $2$ $0$ $2$ $4$ $\frac{ 3}{ 2}$

\(-\frac{ 11}{ 32}-\frac{ 5}{ 32}\sqrt{ 5}\)	\(-\frac{ 1}{ 16}\)	\(0\)	\(-\frac{ 11}{ 32}+\frac{ 5}{ 32}\sqrt{ 5}\)	\(\frac{ 1}{ 28}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)
\(1\)	\(1\)	\(0\)	\(1\)	\(3\)	\(1\)
\(2\)	\(2\)	\(0\)	\(2\)	\(4\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.73" from ...

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-72\)	\(52\)	\(16\)	\(7\)

6

New Number: 5.89 | AESZ: 329 | Superseeker: 48 25200 | Hash: 8c526b3b825d5ad6a3d0fb83ee4e6059

Degree: 5

$\theta^4-2^{4} x\left(8\theta^4+34\theta^3+25\theta^2+8\theta+1\right)-2^{8} x^{2}\left(87\theta^4+150\theta^3+32\theta^2-2\theta-1\right)-2^{12} x^{3}\left(202\theta^4+240\theta^3+211\theta^2+102\theta+19\right)-2^{16} 3 x^{4}(2\theta+1)(22\theta^3+45\theta^2+38\theta+12)-2^{20} 3^{2} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 16, 1200, 136960, 19010320, ...
--> OEIS
Normalized instanton numbers (n₀=1): 48, 270, 25200, 968066, 80892688, ... ; Common denominator:...

Discriminant

$-(16384z^3+3072z^2+224z-1)(1+48z)^2$

Local exponents

≈$-0.095858-0.072741I$ ≈$-0.095858+0.072741I$ $-\frac{ 1}{ 48}$ $0$ ≈$0.004215$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $1$ $1$ $0$ $1$ $1$
$1$ $1$ $3$ $0$ $1$ $1$
$2$ $2$ $4$ $0$ $2$ $\frac{ 3}{ 2}$

≈\(-0.095858-0.072741I\)	≈\(-0.095858+0.072741I\)	\(-\frac{ 1}{ 48}\)	\(0\)	≈\(0.004215\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(1\)
\(1\)	\(1\)	\(3\)	\(0\)	\(1\)	\(1\)
\(2\)	\(2\)	\(4\)	\(0\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.89" from ...

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-44\)	\(52\)	\(16\)	\(7\)

7

New Number: 5.90 | AESZ: 330 | Superseeker: 352 3284448 | Hash: ba5b66d5fe92237e6416a117563571e9

Degree: 5

$\theta^4+2^{4} x\left(112\theta^4-64\theta^3-32\theta^2+1\right)+2^{14} x^{2}\left(56\theta^4-64\theta^3+3\theta^2-10\theta-4\right)+2^{20} x^{3}\left(32\theta^4-384\theta^3-436\theta^2-264\theta-55\right)-2^{29} 3 x^{4}(2\theta+1)(10\theta+7)(2\theta^2+4\theta+3)-2^{38} 3^{2} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -16, 4368, -344320, 107445520, ...
--> OEIS
Normalized instanton numbers (n₀=1): 352, -23368, 3284448, -578330224, 120252731680, ... ; Common denominator:...

Discriminant

$-(-1+256z)(256z+1)^2(768z+1)^2$

Local exponents

$-\frac{ 1}{ 256}$ $-\frac{ 1}{ 768}$ $0$ $\frac{ 1}{ 256}$ $\infty$
$0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$\frac{ 1}{ 2}$ $1$ $0$ $1$ $1$
$\frac{ 1}{ 2}$ $3$ $0$ $1$ $1$
$1$ $4$ $0$ $2$ $\frac{ 3}{ 2}$

\(-\frac{ 1}{ 256}\)	\(-\frac{ 1}{ 768}\)	\(0\)	\(\frac{ 1}{ 256}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(\frac{ 1}{ 2}\)	\(1\)	\(0\)	\(1\)	\(1\)
\(\frac{ 1}{ 2}\)	\(3\)	\(0\)	\(1\)	\(1\)
\(1\)	\(4\)	\(0\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

B-Incarnation as double octic D.O.20

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(320\)	\(16\)	\(16\)	\(4\)

8

New Number: 5.91 | AESZ: 331 | Superseeker: 112 186800 | Hash: a30093d8c1ab2f66122cef8935b79efb

Degree: 5

$\theta^4+2^{4} x\left(18\theta^4-48\theta^3-33\theta^2-9\theta-1\right)-2^{9} x^{2}\left(86\theta^4+512\theta^3+125\theta^2+45\theta+10\right)-2^{14} x^{3}\left(1138\theta^4+2040\theta^3+1883\theta^2+879\theta+157\right)-2^{19} 7 x^{4}(2\theta+1)(186\theta^3+375\theta^2+317\theta+100)-2^{27} 7^{2} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 16, 1488, 183040, 27611920, ...
--> OEIS
Normalized instanton numbers (n₀=1): 112, -2242, 186800, -11675813, 1250599376, ... ; Common denominator:...

Discriminant

$-(32z+1)(256z-1)(64z+1)(1+224z)^2$

Local exponents

$-\frac{ 1}{ 32}$ $-\frac{ 1}{ 64}$ $-\frac{ 1}{ 224}$ $0$ $\frac{ 1}{ 256}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $1$ $1$ $0$ $1$ $1$
$1$ $1$ $3$ $0$ $1$ $1$
$2$ $2$ $4$ $0$ $2$ $\frac{ 3}{ 2}$

\(-\frac{ 1}{ 32}\)	\(-\frac{ 1}{ 64}\)	\(-\frac{ 1}{ 224}\)	\(0\)	\(\frac{ 1}{ 256}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(1\)
\(1\)	\(1\)	\(3\)	\(0\)	\(1\)	\(1\)
\(2\)	\(2\)	\(4\)	\(0\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.91" from ...

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(68\)	\(40\)	\(16\)	\(6\)

9

New Number: 1.3 | AESZ: 3 | Superseeker: 32 26016 | Hash: e7a9c334fb603aceccc0517dab63e7d4

Degree: 1

$\theta^4-2^{4} x\left((2\theta+1)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 16, 1296, 160000, 24010000, ...
--> OEIS
Normalized instanton numbers (n₀=1): 32, 608, 26016, 1606496, 122373984, ... ; Common denominator:...

Discriminant

$1-256z$

Local exponents

$0$ $\frac{ 1}{ 256}$ $\infty$
$0$ $0$ $\frac{ 1}{ 2}$
$0$ $1$ $\frac{ 1}{ 2}$
$0$ $1$ $\frac{ 1}{ 2}$
$0$ $2$ $\frac{ 1}{ 2}$

\(0\)	\(\frac{ 1}{ 256}\)	\(\infty\)
\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(\frac{ 1}{ 2}\)
\(0\)	\(2\)	\(\frac{ 1}{ 2}\)

Note:

A-incarnation: X(2,2,2,2) in P^7.

\(\frac{ 19}{ 6}+4Iln(2)^{ \frac{ 6}{ 5}}Zeta(5)^(\frac{ 2}{ 9})\)	\(-\frac{ 13}{ 24}-134\lambda\)	\(.49652777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777778+.595253091I\)	\(.64137367e-1-.351740463I\)
\(\frac{ 22}{ 3}+\frac{ 3}{ 1000000000}I\)	\(-\frac{ 5}{ 6}+\frac{ 1}{ 500000000}I\)	\(\frac{ 121}{ 72}-\frac{ 1}{ 500000000}I\)	\(-.49652777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777778-.595253091I\)
\(8+\frac{ 3}{ 1000000000}I\)	\(-2+\frac{ 1}{ 500000000}I\)	\(\frac{ 17}{ 6}-\frac{ 1}{ 500000000}I\)	\(-\frac{ 13}{ 24}-134\lambda\)
\(32+\frac{ 7}{ 500000000}I\)	\(-8+\frac{ 7}{ 1000000000}I\)	\(\frac{ 22}{ 3}-\frac{ 7}{ 1000000000}I\)	\(-\frac{ 7}{ 6}-4Iln(2)^{ \frac{ 6}{ 5}}Zeta(5)^(\frac{ 2}{ 9})\)

\(1\)	\(-1\)	\(\frac{ 1}{ 2}\)	\(-\frac{ 1}{ 6}\)
\(0\)	\(1\)	\(-1\)	\(\frac{ 1}{ 2}\)
\(0\)	\(0\)	\(1\)	\(-1\)
\(0\)	\(0\)	\(0\)	\(1\)

\(1+268\lambda\)	\(0\)	\(Iarctan(\frac{ 173}{ 564})\)	\(.105419378\)
\(\frac{ 11}{ 3}\)	\(1\)	\(\frac{ 121}{ 144}\)	\(-Iarctan(\frac{ 173}{ 564})\)
\(0\)	\(0\)	\(1\)	\(0\)
\(16\)	\(0\)	\(\frac{ 11}{ 3}\)	\(1-268\lambda\)

\(-268\lambda\)	\(\frac{ 19}{ 3}\)	\(1\)	\(1\)
\(-\frac{ 11}{ 3}\)	\(-8\)	\(-1\)	\(0\)
\(0\)	\(16\)	\(0\)	\(0\)
\(-16\)	\(0\)	\(0\)	\(0\)

Calabi-Yau differential operator database v.3

Summary

Discriminant

Local exponents

Note:

Explicit solution

Characteristic classes:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Characteristic classes:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Characteristic classes:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Characteristic classes:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Characteristic classes:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Characteristic classes:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Characteristic classes:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Characteristic classes:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Explicit solution

Characteristic classes:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice