Calabi-Yau differential operator database v.3.0

1

New Number: 2.13 | AESZ: 36 | Superseeker: 16 1232 | Hash: dea6fdf568a5907a24ba30fef2caf124

Degree: 2

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

Coefficients of the holomorphic solution: 1, 16, 720, 44800, 3312400, ...
--> OEIS
Normalized instanton numbers (n₀=1): 16, 42, 1232, 32159, 990128, ... ; Common denominator:...

Discriminant

$(128z-1)(64z-1)$

Local exponents

$0$ $\frac{ 1}{ 128}$ $\frac{ 1}{ 64}$ $\infty$
$0$ $0$ $0$ $\frac{ 1}{ 2}$
$0$ $1$ $1$ $\frac{ 1}{ 2}$
$0$ $1$ $1$ $\frac{ 3}{ 2}$
$0$ $2$ $2$ $\frac{ 3}{ 2}$

\(0\)	\(\frac{ 1}{ 128}\)	\(\frac{ 1}{ 64}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(\frac{ 3}{ 2}\)
\(0\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

A*d

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-88\)	\(80\)	\(32\)	\(12\)

2

New Number: 2.55 | AESZ: 42 | Superseeker: 8 1000 | Hash: c389d3bc0e31801bc4b7b3e186702bc9

Degree: 2

$\theta^4-2^{3} x(2\theta+1)^2(3\theta^2+3\theta+1)+2^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 8, 240, 10880, 597520, ...
--> OEIS
Normalized instanton numbers (n₀=1): 8, 63, 1000, 44369/2, 606168, ... ; Common denominator:...

Discriminant

$1-96z+256z^2$

Local exponents

$0$ $\frac{ 3}{ 16}-\frac{ 1}{ 8}\sqrt{ 2}$ $\frac{ 3}{ 16}+\frac{ 1}{ 8}\sqrt{ 2}$ $\infty$
$0$ $0$ $0$ $\frac{ 1}{ 2}$
$0$ $1$ $1$ $1$
$0$ $1$ $1$ $1$
$0$ $2$ $2$ $\frac{ 3}{ 2}$

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

Note:

Hadamard product $I \ast \epsilon$

	Gopakumar-Vafa invariants
g=0	256, 2016, 32000, 709904, 19397376, 604985440, 20693162240, 757512952944,...
g=1	0, 0, 0, -8, 1024, 1220032, 162833408, 14777331408,...
g=2	,...

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-116\)	\(80\)	\(32\)	\(12\)

3

New Number: 3.10 | AESZ: ~103 | Superseeker: 10 664 | Hash: 9239615e8ac132ca232c13367a39ae3b

Degree: 3

$\theta^4-2 x\left(86\theta^4+172\theta^3+143\theta^2+57\theta+9\right)+2^{2} 3^{2} x^{2}(\theta+1)^2(236\theta^2+472\theta+187)-2^{4} 3^{4} 5^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 18, 630, 28980, 1593270, ...
--> OEIS
Normalized instanton numbers (n₀=1): 10, 24, 664, 9088, 234388, ... ; Common denominator:...

Discriminant

$-(100z-1)(-1+36z)^2$

Local exponents

$0$ $\frac{ 1}{ 100}$ $\frac{ 1}{ 36}$ $\infty$
$0$ $0$ $0$ $\frac{ 1}{ 2}$
$0$ $1$ $\frac{ 1}{ 2}$ $1$
$0$ $1$ $\frac{ 1}{ 2}$ $2$
$0$ $2$ $1$ $\frac{ 5}{ 2}$

\(0\)	\(\frac{ 1}{ 100}\)	\(\frac{ 1}{ 36}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(\frac{ 1}{ 2}\)	\(1\)
\(0\)	\(1\)	\(\frac{ 1}{ 2}\)	\(2\)
\(0\)	\(2\)	\(1\)	\(\frac{ 5}{ 2}\)

Note:

Operator equivalent to AESZ 103 =$c \ast c$.

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-48\)	\(72\)	\(36\)	\(12\)

4

New Number: 3.8 | AESZ: ~100 | Superseeker: 5 454 | Hash: 82a1ac6ac6fb9ab2e4d6b5d5790d1d9b

Degree: 3

$\theta^4+x\left(15\theta^4+30\theta^3+35\theta^2+20\theta+4\right)-2^{5} x^{2}(\theta+1)^2(66\theta^2+132\theta+53)-2^{8} 7^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -4, 132, -1120, 72100, ...
--> OEIS
Normalized instanton numbers (n₀=1): 5, 42, 454, 7498, 154351, ... ; Common denominator:...

Discriminant

$-(49z-1)(1+32z)^2$

Local exponents

$-\frac{ 1}{ 32}$ $0$ $\frac{ 1}{ 49}$ $\infty$
$0$ $0$ $0$ $\frac{ 1}{ 2}$
$\frac{ 1}{ 2}$ $0$ $1$ $1$
$\frac{ 1}{ 2}$ $0$ $1$ $2$
$1$ $0$ $2$ $\frac{ 5}{ 2}$

\(-\frac{ 1}{ 32}\)	\(0\)	\(\frac{ 1}{ 49}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(\frac{ 1}{ 2}\)	\(0\)	\(1\)	\(1\)
\(\frac{ 1}{ 2}\)	\(0\)	\(1\)	\(2\)
\(1\)	\(0\)	\(2\)	\(\frac{ 5}{ 2}\)

Note:

Operator equivalent to AESZ 100= $ a \ast a$

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-72\)	\(72\)	\(36\)	\(12\)

5

New Number: 5.113 | AESZ: 403 | Superseeker: -29/5 -1481/5 | Hash: 492c8a69e87d470c87b9557834f0fc5b

Degree: 5

$5^{2} \theta^4+5 x\left(487\theta^4+878\theta^3+709\theta^2+270\theta+40\right)+2^{5} x^{2}\left(1013\theta^4+2639\theta^3+2943\theta^2+1520\theta+280\right)-2^{8} x^{3}\left(2169\theta^4+14880\theta^3+30789\theta^2+22440\theta+5240\right)-2^{12} x^{4}(2\theta+1)(518\theta^3+2397\theta^2+2940\theta+1048)-2^{16} 3 x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -8, 216, -8000, 359800, ...
--> OEIS
Normalized instanton numbers (n₀=1): -29/5, 229/5, -1481/5, 43173/5, -155267, ... ; Common denominator:...

Discriminant

$-(27z+1)(1024z^2-64z-1)(5+16z)^2$

Local exponents

$-\frac{ 5}{ 16}$ $-\frac{ 1}{ 27}$ $\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 2}$ $0$ $\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 2}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $1$ $1$ $0$ $1$ $\frac{ 2}{ 3}$
$3$ $1$ $1$ $0$ $1$ $\frac{ 4}{ 3}$
$4$ $2$ $2$ $0$ $2$ $\frac{ 3}{ 2}$

\(-\frac{ 5}{ 16}\)	\(-\frac{ 1}{ 27}\)	\(\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 2}\)	\(0\)	\(\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 2}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(\frac{ 2}{ 3}\)
\(3\)	\(1\)	\(1\)	\(0\)	\(1\)	\(\frac{ 4}{ 3}\)
\(4\)	\(2\)	\(2\)	\(0\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.113" from ...

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-116\)	\(64\)	\(40\)	\(12\)

6

New Number: 5.23 | AESZ: 194 | Superseeker: 126/17 11700/17 | Hash: 6bf19665aa6705f30ef88df42bc4eac4

Degree: 5

$17^{2} \theta^4-17 x\left(1465\theta^4+2768\theta^3+2200\theta^2+816\theta+119\right)+2 x^{2}\left(62015\theta^4+131582\theta^3+125017\theta^2+65926\theta+15300\right)-2 3^{3} x^{3}\left(4325\theta^4+10914\theta^3+12803\theta^2+7446\theta+1700\right)+3^{6} x^{4}\left(265\theta^4+836\theta^3+1118\theta^2+700\theta+168\right)-3^{10} x^{5}\left((\theta+1)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 7, 183, 7225, 345079, ...
--> OEIS
Normalized instanton numbers (n₀=1): 126/17, 848/17, 11700/17, 229808/17, 5539258/17, ... ; Common denominator:...

Discriminant

$-(-1+81z)(27z-17)^2(z-1)^2$

Local exponents

$0$ $\frac{ 1}{ 81}$ $\frac{ 17}{ 27}$ $1$ $\infty$
$0$ $0$ $0$ $0$ $1$
$0$ $1$ $1$ $\frac{ 1}{ 2}$ $1$
$0$ $1$ $3$ $\frac{ 1}{ 2}$ $1$
$0$ $2$ $4$ $1$ $1$

\(0\)	\(\frac{ 1}{ 81}\)	\(\frac{ 17}{ 27}\)	\(1\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(0\)	\(1\)	\(1\)	\(\frac{ 1}{ 2}\)	\(1\)
\(0\)	\(1\)	\(3\)	\(\frac{ 1}{ 2}\)	\(1\)
\(0\)	\(2\)	\(4\)	\(1\)	\(1\)

Note:

There is a second MUM-point at infinity, corresponding to Operator AESZ 199/5.26

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-88\)	\(76\)	\(34\)	\(12\)

7

New Number: 5.77 | AESZ: 307 | Superseeker: 69/11 8883/11 | Hash: 3a2dcd4c59d8fa5b7c57250efeecba62

Degree: 5

$11^{2} \theta^4-3 11 x\left(361\theta^4+530\theta^3+419\theta^2+154\theta+22\right)+2^{2} x^{2}\left(47008\theta^4+45904\theta^3-3251\theta^2-17094\theta-4851\right)-2^{4} 3 x^{3}\left(31436\theta^4+86856\theta^3+160363\theta^2+122133\theta+30294\right)+2^{9} 3^{2} x^{4}(2\theta+1)(1252\theta^3+5442\theta^2+6767\theta+2625)-2^{14} 3^{6} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 6, 162, 6540, 314370, ...
--> OEIS
Normalized instanton numbers (n₀=1): 69/11, 620/11, 8883/11, 171916/11, 4334406/11, ... ; Common denominator:...

Discriminant

$-(81z-1)(64z^2+1)(-11+96z)^2$

Local exponents

$0-\frac{ 1}{ 8}I$ $0$ $0+\frac{ 1}{ 8}I$ $\frac{ 1}{ 81}$ $\frac{ 11}{ 96}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $1$ $1$ $1$
$1$ $0$ $1$ $1$ $3$ $1$
$2$ $0$ $2$ $2$ $4$ $\frac{ 3}{ 2}$

\(0-\frac{ 1}{ 8}I\)	\(0\)	\(0+\frac{ 1}{ 8}I\)	\(\frac{ 1}{ 81}\)	\(\frac{ 11}{ 96}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(1\)
\(1\)	\(0\)	\(1\)	\(1\)	\(3\)	\(1\)
\(2\)	\(0\)	\(2\)	\(2\)	\(4\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.77" from ...

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-108\)	\(78\)	\(33\)	\(12\)

8

New Number: 8.20 | AESZ: 213 | Superseeker: 118/17 672 | Hash: d430b37f4ca641af0b82cbef83547c51

Degree: 8

$17^{2} \theta^4-2 17 x\left(647\theta^4+1240\theta^3+977\theta^2+357\theta+51\right)-2^{2} x^{2}\left(14437\theta^4+89752\theta^3+147734\theta^2+92123\theta+20400\right)+2^{2} 3 x^{3}\left(21538\theta^4+25680\theta^3-41979\theta^2-56151\theta-17442\right)+2^{3} x^{4}\left(51920\theta^4+166384\theta^3-83149\theta^2-217017\theta-79362\right)-2^{4} 3 x^{5}\left(9360\theta^4-26784\theta^3-43813\theta^2-21965\theta-3496\right)-2^{5} 3 x^{6}\left(10160\theta^4-96\theta^3-10535\theta^2-5385\theta-438\right)-2^{8} 3^{2} x^{7}\left(288\theta^4+864\theta^3+1082\theta^2+641\theta+147\right)-2^{11} 3^{2} x^{8}(4\theta+3)(\theta+1)^2(4\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 6, 162, 6252, 290610, ...
--> OEIS
Normalized instanton numbers (n₀=1): 118/17, 873/17, 672, 447987/34, 5358846/17, ... ; Common denominator:...

Discriminant

$-(4z+1)(32z^3+40z^2+78z-1)(-17+18z+48z^2)^2$

Local exponents

$-\frac{ 3}{ 16}-\frac{ 1}{ 48}\sqrt{ 897}$ ≈$-0.631368-1.433512I$ ≈$-0.631368+1.433512I$ $-\frac{ 1}{ 4}$ $0$ ≈$0.012736$ $-\frac{ 3}{ 16}+\frac{ 1}{ 48}\sqrt{ 897}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $0$ $\frac{ 3}{ 4}$
$1$ $1$ $1$ $1$ $0$ $1$ $1$ $1$
$3$ $1$ $1$ $1$ $0$ $1$ $3$ $1$
$4$ $2$ $2$ $2$ $0$ $2$ $4$ $\frac{ 5}{ 4}$

\(-\frac{ 3}{ 16}-\frac{ 1}{ 48}\sqrt{ 897}\)	≈\(-0.631368-1.433512I\)	≈\(-0.631368+1.433512I\)	\(-\frac{ 1}{ 4}\)	\(0\)	≈\(0.012736\)	\(-\frac{ 3}{ 16}+\frac{ 1}{ 48}\sqrt{ 897}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 3}{ 4}\)
\(1\)	\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)
\(3\)	\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(3\)	\(1\)
\(4\)	\(2\)	\(2\)	\(2\)	\(0\)	\(2\)	\(4\)	\(\frac{ 5}{ 4}\)

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-90\)	\(76\)	\(34\)	\(12\)

9

New Number: 8.2 | AESZ: 104 | Superseeker: 7 1271/3 | Hash: d6bd0d1524954c8ce0a6421d295e9795

Degree: 8

$\theta^4-x(10\theta^2+10\theta+3)(7\theta^2+7\theta+2)-x^{2}\left(71\theta^4+1148\theta^3+1591\theta^2+886\theta+192\right)-2^{3} 3^{2} x^{3}\left(70\theta^4-420\theta^3-1289\theta^2-963\theta-240\right)-2^{4} 3^{2} x^{4}\left(143\theta^4+286\theta^3-1138\theta^2-1281\theta-414\right)+2^{6} 3^{4} x^{5}\left(70\theta^4+700\theta^3+391\theta^2-75\theta-76\right)-2^{6} 3^{4} x^{6}\left(71\theta^4-864\theta^3-1427\theta^2-864\theta-180\right)+2^{9} 3^{6} x^{7}(10\theta^2+10\theta+3)(7\theta^2+7\theta+2)+2^{12} 3^{8} x^{8}\left((\theta+1)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 6, 150, 5208, 221094, ...
--> OEIS
Normalized instanton numbers (n₀=1): 7, 93/2, 1271/3, 18507/2, 190710, ... ; Common denominator:...

Discriminant

$(9z+1)(8z-1)(72z-1)(z+1)(1+72z^2)^2$

Local exponents

$-1$ $-\frac{ 1}{ 9}$ $0-\frac{ 1}{ 12}\sqrt{ 2}I$ $0$ $0+\frac{ 1}{ 12}\sqrt{ 2}I$ $\frac{ 1}{ 72}$ $\frac{ 1}{ 8}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $0$ $1$
$1$ $1$ $1$ $0$ $1$ $1$ $1$ $1$
$1$ $1$ $3$ $0$ $3$ $1$ $1$ $1$
$2$ $2$ $4$ $0$ $4$ $2$ $2$ $1$

\(-1\)	\(-\frac{ 1}{ 9}\)	\(0-\frac{ 1}{ 12}\sqrt{ 2}I\)	\(0\)	\(0+\frac{ 1}{ 12}\sqrt{ 2}I\)	\(\frac{ 1}{ 72}\)	\(\frac{ 1}{ 8}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(1\)
\(1\)	\(1\)	\(3\)	\(0\)	\(3\)	\(1\)	\(1\)	\(1\)
\(2\)	\(2\)	\(4\)	\(0\)	\(4\)	\(2\)	\(2\)	\(1\)

Note:

Hadamard product $a \ast c$. This operator has a second MUM-point at infinity with the same instanton point.
It is reducible to an operator of degree 4 with a single MUM-point defined over $Q(\sqrt{-2})$

\(\frac{ 10}{ 3}+176\lambda\)	\(-\frac{ 7}{ 12}-44\lambda\)	\(\frac{ 35}{ 144}+\frac{ 55}{ 3}\lambda\)	\(-.73703221e-1-\frac{ 77}{ 6}\lambda\)
\(\frac{ 20}{ 3}+\frac{ 1}{ 500000000}I\)	\(-\frac{ 2}{ 3}+\frac{ 1}{ 1000000000}I\)	\(\frac{ 25}{ 36}\)	\(-\frac{ 35}{ 144}-\frac{ 55}{ 3}\lambda\)
\(16+\frac{ 1}{ 200000000}I\)	\(-4+\frac{ 1}{ 500000000}I\)	\(\frac{ 8}{ 3}-\frac{ 1}{ 500000000}I\)	\(-\frac{ 7}{ 12}-44\lambda\)
\(64.+.23e-7I\)	\(-15.999999981+.90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-8I\)	\(\frac{ 20}{ 3}-\frac{ 1}{ 125000000}I\)	\(-\frac{ 4}{ 3}-176\lambda\)

\(9.+5.059247438I\)	\(-\frac{ 8}{ 3}-348\lambda\)	\(.83333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333+.527004941I\)	\(-.133347276-58\lambda\)
\(30\)	\(-9\)	\(\frac{ 25}{ 8}\)	\(-.83333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333-.527004941I\)
\(96\)	\(-32\)	\(11\)	\(-\frac{ 8}{ 3}-348\lambda\)
\(288+\frac{ 1}{ 1000000000}I\)	\(-96\)	\(30\)	\(-7.-5.059247438I\)

\(1+88\lambda\)	\(0\)	\(\frac{ 55}{ 6}\lambda\)	\(.5683112e-2\)
\(\frac{ 10}{ 3}\)	\(1\)	\(\frac{ 25}{ 72}\)	\(-\frac{ 55}{ 6}\lambda\)
\(0\)	\(0\)	\(1\)	\(0\)
\(32\)	\(0\)	\(\frac{ 10}{ 3}\)	\(1-88\lambda\)

\(-88\lambda\)	\(\frac{ 26}{ 3}\)	\(1\)	\(1\)
\(-\frac{ 10}{ 3}\)	\(-16\)	\(-1\)	\(0\)
\(0\)	\(32\)	\(0\)	\(0\)
\(-32\)	\(0\)	\(0\)	\(0\)

\(1+116\lambda\)	\(0\)	\(\frac{ 1}{ 343}I5^{ \frac{ 7}{ 9}}7^{ \frac{ 1}{ 3}}ln(2)^3\)	\(.9874994e-2\)
\(\frac{ 10}{ 3}\)	\(1\)	\(\frac{ 25}{ 72}\)	\(-\frac{ 1}{ 343}I5^{ \frac{ 7}{ 9}}7^{ \frac{ 1}{ 3}}ln(2)^3\)
\(0\)	\(0\)	\(1\)	\(0\)
\(32\)	\(0\)	\(\frac{ 10}{ 3}\)	\(1-116\lambda\)

\(-116\lambda\)	\(\frac{ 26}{ 3}\)	\(1\)	\(1\)
\(-\frac{ 10}{ 3}\)	\(-16\)	\(-1\)	\(0\)
\(0\)	\(32\)	\(0\)	\(0\)
\(-32\)	\(0\)	\(0\)	\(0\)

\(-48\lambda\)	\(9\)	\(1\)	\(1\)
\(-3\)	\(-18\)	\(-1\)	\(0\)
\(0\)	\(36\)	\(0\)	\(0\)
\(-36\)	\(0\)	\(0\)	\(0\)

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

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