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: 2.1 | AESZ: 45 | Superseeker: 12 3204 | Hash: cdf289f6febf84eb577a238542a57457

Degree: 2

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

Maple LaTex

Coefficients of the holomorphic solution: 1, 8, 360, 22400, 1695400, ...
--> OEIS
Normalized instanton numbers (n₀=1): 12, 163, 3204, 107582, 4203360, ... ; Common denominator:...

Discriminant

$-(16z+1)(128z-1)$

Local exponents

$-\frac{ 1}{ 16}$ $0$ $\frac{ 1}{ 128}$ $\infty$
$0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $\frac{ 3}{ 2}$
$2$ $0$ $2$ $\frac{ 3}{ 2}$

\(-\frac{ 1}{ 16}\)	\(0\)	\(\frac{ 1}{ 128}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(\frac{ 3}{ 2}\)
\(2\)	\(0\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

Hadamard product $A \ast a$, where $A$ is (:case 2.1.1)

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-120\)	\(72\)	\(24\)	\(10\)

3

New Number: 2.53 | AESZ: 29 | Superseeker: 14 10424/3 | Hash: 92e8a038051b3fb8e0cc6ad6a52b8bfb

Degree: 2

$\theta^4-2 x(2\theta+1)^2(17\theta^2+17\theta+5)+2^{2} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 10, 438, 28900, 2310070, ...
--> OEIS
Normalized instanton numbers (n₀=1): 14, 303/2, 10424/3, 113664, 4579068, ... ; Common denominator:...

Discriminant

$1-136z+16z^2$

Local exponents

$0$ $\frac{ 17}{ 4}-3\sqrt{ 2}$ $\frac{ 17}{ 4}+3\sqrt{ 2}$ $\infty$
$0$ $0$ $0$ $\frac{ 1}{ 2}$
$0$ $1$ $1$ $1$
$0$ $1$ $1$ $1$
$0$ $2$ $2$ $\frac{ 3}{ 2}$

\(0\)	\(\frac{ 17}{ 4}-3\sqrt{ 2}\)	\(\frac{ 17}{ 4}+3\sqrt{ 2}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(1\)
\(0\)	\(1\)	\(1\)	\(1\)
\(0\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

Hadamard product $I \ast \gamma$

	Gopakumar-Vafa invariants
g=0	336, 3636, 83392, 2727936, 109897632, 5057935376, 255380668896, 13802556520272,...
g=1	0, 0, 0, 66, 121056, 29099400, 4233172704, 496392888006,...
g=2	,...

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-116\)	\(72\)	\(24\)	\(10\)

4

New Number: 2.9 | AESZ: 58 | Superseeker: 16 11056/3 | Hash: 1ca6d3d1c4514db0651efce420265f5a

Degree: 2

$\theta^4-2^{2} x(2\theta+1)^2(10\theta^2+10\theta+3)+2^{4} 3^{2} x^{2}(2\theta+1)^2(2\theta+3)^2$

Maple LaTex

Coefficients of the holomorphic solution: 1, 12, 540, 37200, 3131100, ...
--> OEIS
Normalized instanton numbers (n₀=1): 16, 142, 11056/3, 121470, 4971792, ... ; Common denominator:...

Discriminant

$(144z-1)(16z-1)$

Local exponents

$0$ $\frac{ 1}{ 144}$ $\frac{ 1}{ 16}$ $\infty$
$0$ $0$ $0$ $\frac{ 1}{ 2}$
$0$ $1$ $1$ $\frac{ 1}{ 2}$
$0$ $1$ $1$ $\frac{ 3}{ 2}$
$0$ $2$ $2$ $\frac{ 3}{ 2}$

\(0\)	\(\frac{ 1}{ 144}\)	\(\frac{ 1}{ 16}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(\frac{ 3}{ 2}\)
\(0\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

Hadamard product A*c

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-112\)	\(72\)	\(24\)	\(10\)

5

New Number: 3.9 | AESZ: ~101 | Superseeker: 13 2650 | Hash: a6878d847acf199583e8168a33967174

Degree: 3

$\theta^4-x\left(113\theta^4+226\theta^3+173\theta^2+60\theta+8\right)-2^{3} x^{2}(\theta+1)^2(119\theta^2+238\theta+92)-2^{2} 11^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 8, 336, 19880, 1420720, ...
--> OEIS
Normalized instanton numbers (n₀=1): 13, 128, 2650, 79400, 2921395, ... ; Common denominator:...

Discriminant

$-(121z-1)(4z+1)^2$

Local exponents

$-\frac{ 1}{ 4}$ $0$ $\frac{ 1}{ 121}$ $\infty$
$0$ $0$ $0$ $\frac{ 1}{ 2}$
$\frac{ 1}{ 2}$ $0$ $1$ $1$
$\frac{ 1}{ 2}$ $0$ $1$ $2$
$1$ $0$ $2$ $\frac{ 5}{ 2}$

\(-\frac{ 1}{ 4}\)	\(0\)	\(\frac{ 1}{ 121}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(\frac{ 1}{ 2}\)	\(0\)	\(1\)	\(1\)
\(\frac{ 1}{ 2}\)	\(0\)	\(1\)	\(2\)
\(1\)	\(0\)	\(2\)	\(\frac{ 5}{ 2}\)

Note:

Operator equivalent to $AESZ 101=$b \ast b$.

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-100\)	\(70\)	\(25\)	\(10\)

6

New Number: 5.43 | AESZ: 234 | Superseeker: 18/7 5676/7 | Hash: 3e70b30959c0c3bd799b435b9c842186

Degree: 5

$7^{2} \theta^4-2 7 x\theta(192\theta^3+60\theta^2+37\theta+7)-2^{2} x^{2}\left(17608\theta^4+115144\theta^3+166715\theta^2+94556\theta+18816\right)+2^{4} 3^{2} x^{3}\left(20288\theta^4+57288\theta^3+27524\theta^2-7455\theta-5026\right)-2^{6} 3^{5} x^{4}(2\theta+1)(458\theta^3-657\theta^2-1799\theta-846)-2^{12} 3^{8} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 0, 96, 1440, 90720, ...
--> OEIS
Normalized instanton numbers (n₀=1): 18/7, 515/7, 5676/7, 133796/7, 2929726/7, ... ; Common denominator:...

Discriminant

$-(64z-1)(36z+1)(4z+1)(-7+108z)^2$

Local exponents

$-\frac{ 1}{ 4}$ $-\frac{ 1}{ 36}$ $0$ $\frac{ 1}{ 64}$ $\frac{ 7}{ 108}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $1$ $0$ $1$ $1$ $1$
$1$ $1$ $0$ $1$ $3$ $1$
$2$ $2$ $0$ $2$ $4$ $\frac{ 3}{ 2}$

\(-\frac{ 1}{ 4}\)	\(-\frac{ 1}{ 36}\)	\(0\)	\(\frac{ 1}{ 64}\)	\(\frac{ 7}{ 108}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)
\(1\)	\(1\)	\(0\)	\(1\)	\(3\)	\(1\)
\(2\)	\(2\)	\(0\)	\(2\)	\(4\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.43" from ...

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-88\)	\(64\)	\(28\)	\(10\)

7

New Number: 5.44 | AESZ: 240 | Superseeker: 231/13 38037/13 | Hash: 8f46cd6968b3b676e251a9d8635637fc

Degree: 5

$13^{2} \theta^4-13 x\left(1449\theta^4+4050\theta^3+3143\theta^2+1118\theta+156\right)-2^{4} x^{2}\left(22760\theta^4-27112\theta^3-121046\theta^2-82316\theta-17589\right)+2^{8} x^{3}\left(3824\theta^4+39936\theta^3-34292\theta^2-63492\theta-19539\right)-2^{16} 3 x^{4}(2\theta+1)(40\theta^3+684\theta^2+1013\theta+399)-2^{20} 3^{2} x^{5}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 12, 468, 28560, 2135700, ...
--> OEIS
Normalized instanton numbers (n₀=1): 231/13, 826/13, 38037/13, 786076/13, 32662752/13, ... ; Common denominator:...

Discriminant

$-(128z-1)(128z^2-13z+1)(13+192z)^2$

Local exponents

$-\frac{ 13}{ 192}$ $0$ $\frac{ 1}{ 128}$ $\frac{ 13}{ 256}-\frac{ 7}{ 256}\sqrt{ 7}I$ $\frac{ 13}{ 256}+\frac{ 7}{ 256}\sqrt{ 7}I$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $1$ $1$ $\frac{ 3}{ 4}$
$3$ $0$ $1$ $1$ $1$ $\frac{ 5}{ 4}$
$4$ $0$ $2$ $2$ $2$ $\frac{ 3}{ 2}$

\(-\frac{ 13}{ 192}\)	\(0\)	\(\frac{ 1}{ 128}\)	\(\frac{ 13}{ 256}-\frac{ 7}{ 256}\sqrt{ 7}I\)	\(\frac{ 13}{ 256}+\frac{ 7}{ 256}\sqrt{ 7}I\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 3}{ 4}\)
\(3\)	\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 5}{ 4}\)
\(4\)	\(0\)	\(2\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.44" from ...

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-72\)	\(68\)	\(26\)	\(10\)

8

New Number: 8.19 | AESZ: 201 | Superseeker: 32 7584 | Hash: d21570c07bca6887061716b2d727fa75

Degree: 8

$\theta^4-2^{4} x\left(13\theta^4+26\theta^3+20\theta^2+7\theta+1\right)+2^{8} x^{2}\left(9\theta^4+192\theta^3+249\theta^2+114\theta+20\right)+2^{12} x^{3}\left(379\theta^4+246\theta^3-569\theta^2-318\theta-60\right)-2^{16} x^{4}\left(749\theta^4+2560\theta^3-1722\theta^2-1862\theta-474\right)-2^{20} 13 x^{5}\left(251\theta^4-10\theta^3+262\theta^2+145\theta+27\right)+2^{24} 13 x^{6}\left(471\theta^4+96\theta^3+17\theta^2+96\theta+42\right)+2^{28} 13^{2} x^{7}\left(41\theta^4+82\theta^3+67\theta^2+26\theta+4\right)-2^{35} 13^{2} x^{8}\left((\theta+1)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 16, 752, 49408, 3805456, ...
--> OEIS
Normalized instanton numbers (n₀=1): 32, -152, 7584, -160593, 7055200, ... ; Common denominator:...

Discriminant

$-(128z-1)(16z+1)(256z^2-96z+1)(-1+3328z^2)^2$

Local exponents

$-\frac{ 1}{ 16}$ $-\frac{ 1}{ 208}\sqrt{ 13}$ $0$ $\frac{ 1}{ 128}$ $\frac{ 3}{ 16}-\frac{ 1}{ 8}\sqrt{ 2}$ $\frac{ 1}{ 208}\sqrt{ 13}$ $\frac{ 3}{ 16}+\frac{ 1}{ 8}\sqrt{ 2}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $0$ $1$
$1$ $1$ $0$ $1$ $1$ $1$ $1$ $1$
$1$ $3$ $0$ $1$ $1$ $3$ $1$ $1$
$2$ $4$ $0$ $2$ $2$ $4$ $2$ $1$

\(-\frac{ 1}{ 16}\)	\(-\frac{ 1}{ 208}\sqrt{ 13}\)	\(0\)	\(\frac{ 1}{ 128}\)	\(\frac{ 3}{ 16}-\frac{ 1}{ 8}\sqrt{ 2}\)	\(\frac{ 1}{ 208}\sqrt{ 13}\)	\(\frac{ 3}{ 16}+\frac{ 1}{ 8}\sqrt{ 2}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(1\)	\(3\)	\(0\)	\(1\)	\(1\)	\(3\)	\(1\)	\(1\)
\(2\)	\(4\)	\(0\)	\(2\)	\(2\)	\(4\)	\(2\)	\(1\)

Note:

This operator has a second MUM-point, corresponding to operator 8.18

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

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

\(4+240\lambda\)	\(-\frac{ 3}{ 2}-120\lambda\)	\(\frac{ 5}{ 8}+50\lambda\)	\(-.159319280-30\lambda\)
\(10\)	\(-4\)	\(\frac{ 25}{ 12}\)	\(-\frac{ 5}{ 8}-50\lambda\)
\(24\)	\(-12\)	\(6\)	\(-\frac{ 3}{ 2}-120\lambda\)
\(48\)	\(-24\)	\(10\)	\(-2-240\lambda\)

\(21.+14.053465106I\)	\(-8.-5.621386042I\)	\(\frac{ 5}{ 2}+\frac{ 725}{ 2}\lambda\)	\(-.337500198-\frac{ 580}{ 3}\lambda\)
\(75\)	\(-29\)	\(\frac{ 75}{ 8}\)	\(-\frac{ 5}{ 2}-\frac{ 725}{ 2}\lambda\)
\(240\)	\(-96\)	\(31\)	\(-8.-5.621386042I\)
\(600+\frac{ 1}{ 1000000000}I\)	\(-240\)	\(75\)	\(-19.-14.053465106I\)

\(4.+1.628263543I\)	\(-1-112\lambda\)	\(\frac{ 3}{ 8}+42\lambda\)	\(-.88177192e-1-28\lambda\)
\(9\)	\(-2\)	\(\frac{ 9}{ 8}\)	\(-\frac{ 3}{ 8}-42\lambda\)
\(24\)	\(-8\)	\(4\)	\(-1-112\lambda\)
\(72\)	\(-24\)	\(9\)	\(-2.-1.628263543I\)

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

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

\(1+120\lambda\)	\(0\)	\(15\lambda\)	\(.14090360e-1\)
\(3\)	\(1\)	\(\frac{ 3}{ 8}\)	\(-15\lambda\)
\(0\)	\(0\)	\(1\)	\(0\)
\(24\)	\(0\)	\(3\)	\(1-120\lambda\)

\(-120\lambda\)	\(7\)	\(1\)	\(1\)
\(-3\)	\(-12\)	\(-1\)	\(0\)
\(0\)	\(24\)	\(0\)	\(0\)
\(-24\)	\(0\)	\(0\)	\(0\)

\(1+116\lambda\)	\(0\)	\(\frac{ 29}{ 2}\lambda\)	\(\frac{ 79}{ 6000}\)
\(3\)	\(1\)	\(\frac{ 3}{ 8}\)	\(-\frac{ 29}{ 2}\lambda\)
\(0\)	\(0\)	\(1\)	\(0\)
\(24\)	\(0\)	\(3\)	\(1-116\lambda\)

\(-116\lambda\)	\(7\)	\(1\)	\(1\)
\(-3\)	\(-12\)	\(-1\)	\(0\)
\(0\)	\(24\)	\(0\)	\(0\)
\(-24\)	\(0\)	\(0\)	\(0\)

\(1+112\lambda\)	\(0\)	\(14\lambda\)	\(.12274269e-1\)
\(3\)	\(1\)	\(\frac{ 3}{ 8}\)	\(-14\lambda\)
\(0\)	\(0\)	\(1\)	\(0\)
\(24\)	\(0\)	\(3\)	\(1-112\lambda\)

\(-112\lambda\)	\(7\)	\(1\)	\(1\)
\(-3\)	\(-12\)	\(-1\)	\(0\)
\(0\)	\(24\)	\(0\)	\(0\)
\(-24\)	\(0\)	\(0\)	\(0\)

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:

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:

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