Calabi-Yau differential operator database v.3.0

1

New Number: 2.28 | AESZ: 49 | Superseeker: 48 2864 | Hash: 0a357a8c4fd703ab062148eadcd94daa

Degree: 2

$\theta^4-2^{2} 3 x(2\theta+1)^2(18\theta^2+18\theta+7)+2^{4} 3^{6} x^{2}(2\theta+1)^2(2\theta+3)^2$

Coefficients of the holomorphic solution: 1, 84, 17820, 4868400, 1499003100, ...
--> OEIS
Normalized instanton numbers (n₀=1): 48, -438, 2864, 77958, -4942032, ... ; Common denominator:...

Discriminant

$(432z-1)^2$

Local exponents

$0$ $\infty$ $\frac{ 1}{ 432}$
$0$ $\frac{ 1}{ 2}$ $0$
$0$ $\frac{ 1}{ 2}$ $\frac{ 1}{ 3}$
$0$ $\frac{ 3}{ 2}$ $\frac{ 2}{ 3}$
$0$ $\frac{ 3}{ 2}$ $1$

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

Note:

Hadamard product $A \ast$

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

2

New Number: 2.29 | AESZ: 142 | Superseeker: 45 27735 | Hash: 85c2c2d8111a859d4cc03e8892c56af9

Degree: 2

$\theta^4-3^{2} x(3\theta+1)(3\theta+2)(18\theta^2+18\theta+7)+3^{8} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 126, 44550, 20447280, 10600093350, ...
--> OEIS
Normalized instanton numbers (n₀=1): 45, -3465/4, 27735, -1156005, 55721970, ... ; Common denominator:...

Discriminant

$(729z-1)^2$

Local exponents

$0$ $\infty$ $\frac{ 1}{ 729}$
$0$ $\frac{ 1}{ 3}$ $0$
$0$ $\frac{ 2}{ 3}$ $\frac{ 1}{ 3}$
$0$ $\frac{ 4}{ 3}$ $\frac{ 2}{ 3}$
$0$ $\frac{ 5}{ 3}$ $1$

\(0\)	\(\infty\)	\(\frac{ 1}{ 729}\)
\(0\)	\(\frac{ 1}{ 3}\)	\(0\)
\(0\)	\(\frac{ 2}{ 3}\)	\(\frac{ 1}{ 3}\)
\(0\)	\(\frac{ 4}{ 3}\)	\(\frac{ 2}{ 3}\)
\(0\)	\(\frac{ 5}{ 3}\)	\(1\)

Note:

Hadamard product $A \ast$

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

3

New Number: 2.30 | AESZ: 143 | Superseeker: -1008 -607849200 | Hash: e9217db4c6dcfdb9588bab85e6a5f136

Degree: 2

$\theta^4-2^{2} 3^{2} x(6\theta+1)(6\theta+5)(18\theta^2+18\theta+7)+2^{4} 3^{8} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 1260, 6860700, 49707337680, 409490086185180, ...
--> OEIS
Normalized instanton numbers (n₀=1): -1008, 499086, -607849200, 1097705372526, -2467344815777520, ... ; Common denominator:...

Discriminant

$(11664z-1)^2$

Local exponents

$0$ $\infty$ $\frac{ 1}{ 11664}$
$0$ $\frac{ 1}{ 6}$ $0$
$0$ $\frac{ 5}{ 6}$ $\frac{ 1}{ 3}$
$0$ $\frac{ 7}{ 6}$ $\frac{ 2}{ 3}$
$0$ $\frac{ 11}{ 6}$ $1$

\(0\)	\(\infty\)	\(\frac{ 1}{ 11664}\)
\(0\)	\(\frac{ 1}{ 6}\)	\(0\)
\(0\)	\(\frac{ 5}{ 6}\)	\(\frac{ 1}{ 3}\)
\(0\)	\(\frac{ 7}{ 6}\)	\(\frac{ 2}{ 3}\)
\(0\)	\(\frac{ 11}{ 6}\)	\(1\)

Note:

$D\ast h^{\tilde{\;}}B\ast\kappa$

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

4

New Number: 5.3 | AESZ: 20 | Superseeker: 3 245/3 | Hash: a9a698dc5c79ffda497a7897390408b0

Degree: 5

$\theta^4-3 x\left(48\theta^4+60\theta^3+53\theta^2+23\theta+4\right)+3^{2} x^{2}\left(873\theta^4+1980\theta^3+2319\theta^2+1344\theta+304\right)-2 3^{4} x^{3}\left(1269\theta^4+3888\theta^3+5259\theta^2+3348\theta+800\right)+2^{2} 3^{6} x^{4}\left(891\theta^4+3240\theta^3+4653\theta^2+2952\theta+688\right)-2^{3} 3^{11} x^{5}(\theta+1)^2(3\theta+2)(3\theta+4)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 12, 252, 6600, 198540, ...
--> OEIS
Normalized instanton numbers (n₀=1): 3, 33/2, 245/3, 879, 11829, ... ; Common denominator:...

Discriminant

$-(54z-1)(27z-1)^2(18z-1)^2$

Local exponents

$0$ $\frac{ 1}{ 27}$ $\frac{ 1}{ 54}$ $\infty$ $\frac{ 1}{ 18}$
$0$ $0$ $0$ $\frac{ 2}{ 3}$ $0$
$0$ $\frac{ 1}{ 3}$ $1$ $1$ $1$
$0$ $\frac{ 2}{ 3}$ $1$ $1$ $3$
$0$ $1$ $2$ $\frac{ 4}{ 3}$ $4$

\(0\)	\(\frac{ 1}{ 27}\)	\(\frac{ 1}{ 54}\)	\(\infty\)	\(\frac{ 1}{ 18}\)
\(0\)	\(0\)	\(0\)	\(\frac{ 2}{ 3}\)	\(0\)
\(0\)	\(\frac{ 1}{ 3}\)	\(1\)	\(1\)	\(1\)
\(0\)	\(\frac{ 2}{ 3}\)	\(1\)	\(1\)	\(3\)
\(0\)	\(1\)	\(2\)	\(\frac{ 4}{ 3}\)	\(4\)

Note:

A-Incarnation: (3,0),(0,3),(1,1) intersection in $P^3 \times \P^3$.

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-18\)	\(72\)	\(54\)	\(15\)

5

New Number: 11.6 | AESZ: | Superseeker: 95/102 1421/102 | Hash: e79a3108441c74cdc23a53a603a6181e

Degree: 11

$2^{2} 3^{2} 17^{2} \theta^4-2 3 17 x\theta(116\theta^3+1414\theta^2+911\theta+204)-x^{2}\left(2596259\theta^4+9892670\theta^3+14508941\theta^2+9947652\theta+2663424\right)-3 x^{3}\left(8561767\theta^4+41744696\theta^3+79668236\theta^2+68977704\theta+22655832\right)-2^{2} x^{4}\left(28089475\theta^4+171762758\theta^3+396877187\theta^2+402013525\theta+149622901\right)-2 x^{5}\left(127339346\theta^4+963856934\theta^3+2636877099\theta^2+3042828449\theta+1247694978\right)-x^{6}\left(283337071\theta^4+2758627602\theta^3+9101625228\theta^2+11995897911\theta+5385015134\right)-2 x^{7}\left(43252385\theta^4+777895672\theta^3+3537873325\theta^2+5604936458\theta+2806067360\right)+2^{2} 3 x^{8}(\theta+1)(7613560\theta^3+27844427\theta^2-51849552\theta-134696600)+x^{9}(\theta+1)(\theta+2)(60585089\theta^2+495871401\theta+595115780)-2^{3} 3 5^{2} x^{10}(\theta+3)(\theta+2)(\theta+1)(10279\theta-113205)-2^{4} 5^{4} 7 97 x^{11}(\theta+1)(\theta+2)(\theta+3)(\theta+4)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 0, 16, 114, 1680, ...
--> OEIS
Normalized instanton numbers (n₀=1): 95/102, 58/17, 1421/102, 1451/17, 31474/51, ... ; Common denominator:...

Discriminant

$-(-1+7z+219z^2+1115z^3+1934z^4+679z^5)(z+1)^2(100z^2-197z-102)^2$

Local exponents

$0$ $#ND+#NDI$ $\frac{ 197}{ 200}-\frac{ 1}{ 200}\sqrt{ 79609}$ $\frac{ 197}{ 200}+\frac{ 1}{ 200}\sqrt{ 79609}$ $\infty$ $-1$
$0$ $0$ $0$ $0$ $1$ $0$
$0$ $1$ $1$ $1$ $2$ $\frac{ 1}{ 3}$
$0$ $1$ $3$ $3$ $3$ $\frac{ 2}{ 3}$
$0$ $2$ $4$ $4$ $4$ $1$

\(0\)	\(#ND+#NDI\)	\(\frac{ 197}{ 200}-\frac{ 1}{ 200}\sqrt{ 79609}\)	\(\frac{ 197}{ 200}+\frac{ 1}{ 200}\sqrt{ 79609}\)	\(\infty\)	\(-1\)
\(0\)	\(0\)	\(0\)	\(0\)	\(1\)	\(0\)
\(0\)	\(1\)	\(1\)	\(1\)	\(2\)	\(\frac{ 1}{ 3}\)
\(0\)	\(1\)	\(3\)	\(3\)	\(3\)	\(\frac{ 2}{ 3}\)
\(0\)	\(2\)	\(4\)	\(4\)	\(4\)	\(1\)

Note:

This is operator "11.6" from ...

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

6

New Number: 6.22 | AESZ: 376 | Superseeker: 5/4 35/2 | Hash: 24fee66b67ff1a8a852f7a562f7665c1

Degree: 6

$2^{12} \theta^4-2^{10} x\left(106\theta^4+212\theta^3+183\theta^2+77\theta+13\right)+2^{8} x^{2}\left(19\theta^4+76\theta^3-43\theta^2-238\theta-141\right)+2^{6} 3 x^{3}\left(2988\theta^4+17928\theta^3+39970\theta^2+39234\theta+14267\right)+2^{4} 3^{3} x^{4}\left(309\theta^4+2472\theta^3+7618\theta^2+10696\theta+5311\right)-2^{2} 3^{3} 5 7^{2} x^{5}(\theta+4)(\theta+1)(22\theta^2+110\theta+123)-3^{5} 5^{2} 7^{2} x^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 13/4, 489/16, 25429/64, 1591057/256, ...
--> OEIS
Normalized instanton numbers (n₀=1): 5/4, 57/16, 35/2, 459/4, 3615/4, ... ; Common denominator:...

Discriminant

$-(7z+4)(5z-4)(105z-4)(9z-4)(4+3z)^2$

Local exponents

$0$ $-\frac{ 4}{ 7}$ $\frac{ 4}{ 9}$ $\infty$ $-\frac{ 4}{ 3}$ $\frac{ 4}{ 105}$ $\frac{ 4}{ 5}$
$0$ $0$ $0$ $1$ $0$ $0$ $0$
$0$ $1$ $1$ $2$ $\frac{ 1}{ 3}$ $1$ $1$
$0$ $1$ $1$ $4$ $\frac{ 2}{ 3}$ $1$ $1$
$0$ $2$ $2$ $5$ $1$ $2$ $2$

\(0\)	\(-\frac{ 4}{ 7}\)	\(\frac{ 4}{ 9}\)	\(\infty\)	\(-\frac{ 4}{ 3}\)	\(\frac{ 4}{ 105}\)	\(\frac{ 4}{ 5}\)
\(0\)	\(0\)	\(0\)	\(1\)	\(0\)	\(0\)	\(0\)
\(0\)	\(1\)	\(1\)	\(2\)	\(\frac{ 1}{ 3}\)	\(1\)	\(1\)
\(0\)	\(1\)	\(1\)	\(4\)	\(\frac{ 2}{ 3}\)	\(1\)	\(1\)
\(0\)	\(2\)	\(2\)	\(5\)	\(1\)	\(2\)	\(2\)

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

7

New Number: 6.3 | AESZ: | Superseeker: 178/7 129516/7 | Hash: ec9e21dc2ccd3b4b4156ae1438454b96

Degree: 6

$7^{2} \theta^4-2 7 x\left(1488\theta^4+1452\theta^3+1125\theta^2+399\theta+56\right)+2^{2} x^{2}\left(766392\theta^4+1184952\theta^3+1010797\theta^2+454076\theta+83776\right)-2^{4} x^{3}\left(12943616\theta^4+28354200\theta^3+30710572\theta^2+16054731\theta+3215254\right)+2^{6} x^{4}\left(105973188\theta^4+333359304\theta^3+436182381\theta^2+261265857\theta+57189166\right)-2^{11} 127 x^{5}(\theta+1)(390972\theta^3+1350660\theta^2+1486781\theta+460439)+2^{14} 23^{2} 127^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 16, 864, 80800, 9624160, ...
--> OEIS
Normalized instanton numbers (n₀=1): 178/7, 3375/7, 129516/7, 6515900/7, 409239710/7, ... ; Common denominator:...

Discriminant

$(1-248z+8464z^2)(508z-7)^2(16z-1)^2$

Local exponents

$0$ $\infty$ $\frac{ 31}{ 2116}+\frac{ 3}{ 529}\sqrt{ 3}$ $\frac{ 1}{ 16}$ $\frac{ 7}{ 508}$ $\frac{ 31}{ 2116}-\frac{ 3}{ 529}\sqrt{ 3}$
$0$ $\frac{ 1}{ 2}$ $0$ $0$ $0$ $0$
$0$ $1$ $1$ $\frac{ 1}{ 3}$ $1$ $1$
$0$ $2$ $1$ $\frac{ 2}{ 3}$ $3$ $1$
$0$ $\frac{ 5}{ 2}$ $2$ $1$ $4$ $2$

\(0\)	\(\infty\)	\(\frac{ 31}{ 2116}+\frac{ 3}{ 529}\sqrt{ 3}\)	\(\frac{ 1}{ 16}\)	\(\frac{ 7}{ 508}\)	\(\frac{ 31}{ 2116}-\frac{ 3}{ 529}\sqrt{ 3}\)
\(0\)	\(\frac{ 1}{ 2}\)	\(0\)	\(0\)	\(0\)	\(0\)
\(0\)	\(1\)	\(1\)	\(\frac{ 1}{ 3}\)	\(1\)	\(1\)
\(0\)	\(2\)	\(1\)	\(\frac{ 2}{ 3}\)	\(3\)	\(1\)
\(0\)	\(\frac{ 5}{ 2}\)	\(2\)	\(1\)	\(4\)	\(2\)

Note:

This is operator "6.3" from ...

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

8

New Number: 7.9 | AESZ: | Superseeker: -3 -245/3 | Hash: 5641c09b76662b0741e41b41b0c6f105

Degree: 7

$\theta^4-3 x\left(96\theta^4+120\theta^3+127\theta^2+67\theta+14\right)+3^{2} x^{2}\left(3897\theta^4+9540\theta^3+13209\theta^2+9246\theta+2608\right)-2 3^{4} x^{3}\left(14445\theta^4+52002\theta^3+88179\theta^2+73278\theta+23920\right)+2^{2} 3^{6} x^{4}\left(31671\theta^4+149364\theta^3+298089\theta^2+280512\theta+100780\right)-2^{3} 3^{12} x^{5}(\theta+1)(507\theta^3+2439\theta^2+4306\theta+2704)+2^{6} 3^{14} x^{6}(\theta+1)(\theta+2)(90\theta^2+351\theta+370)-2^{7} 3^{19} x^{7}(\theta+1)(\theta+2)^2(\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 42, 1872, 86712, 4126716, ...
--> OEIS
Normalized instanton numbers (n₀=1): -3, 69/4, -245/3, 879, -11829, ... ; Common denominator:...

Discriminant

$-(36z-1)^2(27z-1)^2(54z-1)^3$

Local exponents

$0$ $\frac{ 1}{ 27}$ $\frac{ 1}{ 54}$ $\infty$ $\frac{ 1}{ 36}$
$0$ $0$ $0$ $1$ $0$
$0$ $\frac{ 1}{ 3}$ $0$ $2$ $1$
$0$ $\frac{ 2}{ 3}$ $-\frac{ 1}{ 3}$ $2$ $3$
$0$ $1$ $\frac{ 1}{ 3}$ $3$ $4$

\(0\)	\(\frac{ 1}{ 27}\)	\(\frac{ 1}{ 54}\)	\(\infty\)	\(\frac{ 1}{ 36}\)
\(0\)	\(0\)	\(0\)	\(1\)	\(0\)
\(0\)	\(\frac{ 1}{ 3}\)	\(0\)	\(2\)	\(1\)
\(0\)	\(\frac{ 2}{ 3}\)	\(-\frac{ 1}{ 3}\)	\(2\)	\(3\)
\(0\)	\(1\)	\(\frac{ 1}{ 3}\)	\(3\)	\(4\)

Note:

This is operator "7.9" from ...

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

9

New Number: 8.40 | AESZ: | Superseeker: 5/4 35/2 | Hash: d3cb0fbbc65d6c5dace733d3d1ca181b

Degree: 8

$2^{4} \theta^4-2^{2} x\theta(2\theta^3+82\theta^2+53\theta+12)-x^{2}\left(4895\theta^4+18410\theta^3+26199\theta^2+18308\theta+5120\right)-x^{3}\left(60679\theta^4+272424\theta^3+497452\theta^2+430092\theta+143808\right)-x^{4}\left(344527\theta^4+1870838\theta^3+4034628\theta^2+3987101\theta+1478544\right)-x^{5}(\theta+1)(1076509\theta^3+5847783\theta^2+11226106\theta+7492832)-2 x^{6}(\theta+1)(\theta+2)(944887\theta^2+4249317\theta+5045304)-2^{8} 13 x^{7}(\theta+3)(\theta+2)(\theta+1)(518\theta+1381)-2^{5} 5 13^{2} 23 x^{8}(\theta+1)(\theta+2)(\theta+3)(\theta+4)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 0, 20, 168, 2652, ...
--> OEIS
Normalized instanton numbers (n₀=1): 5/4, 57/16, 35/2, 459/4, 3615/4, ... ; Common denominator:...

Discriminant

$-(23z-1)(5z+1)(2z+1)(z+1)(13z+4)^2(4z+1)^2$

Local exponents

$0$ $\infty$ $\frac{ 1}{ 23}$ $-\frac{ 4}{ 13}$ $-\frac{ 1}{ 2}$ $-\frac{ 1}{ 5}$ $-\frac{ 1}{ 4}$ $-1$
$0$ $1$ $0$ $0$ $0$ $0$ $0$ $0$
$0$ $2$ $1$ $1$ $1$ $1$ $\frac{ 1}{ 3}$ $1$
$0$ $3$ $1$ $3$ $1$ $1$ $\frac{ 2}{ 3}$ $1$
$0$ $4$ $2$ $4$ $2$ $2$ $1$ $2$

\(0\)	\(\infty\)	\(\frac{ 1}{ 23}\)	\(-\frac{ 4}{ 13}\)	\(-\frac{ 1}{ 2}\)	\(-\frac{ 1}{ 5}\)	\(-\frac{ 1}{ 4}\)	\(-1\)
\(0\)	\(1\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)
\(0\)	\(2\)	\(1\)	\(1\)	\(1\)	\(1\)	\(\frac{ 1}{ 3}\)	\(1\)
\(0\)	\(3\)	\(1\)	\(3\)	\(1\)	\(1\)	\(\frac{ 2}{ 3}\)	\(1\)
\(0\)	\(4\)	\(2\)	\(4\)	\(2\)	\(2\)	\(1\)	\(2\)

Note:

This is operator "8.40" from ...

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

10

New Number: 8.51 | AESZ: | Superseeker: 58/43 1024/43 | Hash: 85b9064701880ae8e0518e47cff1b030

Degree: 8

$43^{2} \theta^4-43 x\theta(142\theta^3+890\theta^2+574\theta+129)-x^{2}\left(647269\theta^4+2441818\theta^3+3538503\theta^2+2423953\theta+650848\right)-x^{3}\left(7200000\theta^4+34423908\theta^3+65337898\theta^2+57379329\theta+19251960\right)-x^{4}\left(37610765\theta^4+220029964\theta^3+499781264\theta^2+511393545\theta+194039928\right)-2 x^{5}(\theta+1)(54978121\theta^3+324737370\theta^2+665066226\theta+466789876)-x^{6}(\theta+1)(\theta+2)(185181547\theta^2+915931425\theta+1176131796)-2^{2} 3 101 x^{7}(\theta+3)(\theta+2)(\theta+1)(138979\theta+413408)-2^{2} 3^{2} 5^{2} 7 101^{2} x^{8}(\theta+1)(\theta+2)(\theta+3)(\theta+4)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 0, 22, 204, 3474, ...
--> OEIS
Normalized instanton numbers (n₀=1): 58/43, 211/43, 1024/43, 7544/43, 64880/43, ... ; Common denominator:...

Discriminant

$-(7z+1)(25z-1)(2z+1)^2(101z+43)^2(3z+1)^2$

Local exponents

$0$ $-\frac{ 1}{ 3}$ $\frac{ 1}{ 25}$ $\infty$ $-\frac{ 1}{ 2}$ $-\frac{ 1}{ 7}$ $-\frac{ 43}{ 101}$
$0$ $0$ $0$ $1$ $0$ $0$ $0$
$0$ $\frac{ 1}{ 2}$ $1$ $2$ $\frac{ 1}{ 3}$ $1$ $1$
$0$ $\frac{ 1}{ 2}$ $1$ $3$ $\frac{ 2}{ 3}$ $1$ $3$
$0$ $1$ $2$ $4$ $1$ $2$ $4$

\(0\)	\(-\frac{ 1}{ 3}\)	\(\frac{ 1}{ 25}\)	\(\infty\)	\(-\frac{ 1}{ 2}\)	\(-\frac{ 1}{ 7}\)	\(-\frac{ 43}{ 101}\)
\(0\)	\(0\)	\(0\)	\(1\)	\(0\)	\(0\)	\(0\)
\(0\)	\(\frac{ 1}{ 2}\)	\(1\)	\(2\)	\(\frac{ 1}{ 3}\)	\(1\)	\(1\)
\(0\)	\(\frac{ 1}{ 2}\)	\(1\)	\(3\)	\(\frac{ 2}{ 3}\)	\(1\)	\(3\)
\(0\)	\(1\)	\(2\)	\(4\)	\(1\)	\(2\)	\(4\)

Note:

This is operator "8.51" from ...

\(-\frac{ 5}{ 16}+90\lambda\)	\(\frac{ 7}{ 32}+45\lambda\)	\(-\frac{ 7}{ 128}+\frac{ 15}{ 4}\lambda\)	\(.42666543e-1\)
\(-\frac{ 3}{ 8}\)	\(\frac{ 13}{ 16}\)	\(-\frac{ 1}{ 64}\)	\(-\frac{ 7}{ 128}-\frac{ 15}{ 4}\lambda\)
\(-\frac{ 9}{ 2}\)	\(\frac{ 3}{ 4}\)	\(\frac{ 13}{ 16}\)	\(\frac{ 7}{ 32}-45\lambda\)
\(-9\)	\(-\frac{ 9}{ 2}\)	\(-\frac{ 3}{ 8}\)	\(-\frac{ 5}{ 16}-90\lambda\)

\(\frac{ 1}{ 16}-126\lambda\)	\(\frac{ 5}{ 32}-63\lambda\)	\(-\frac{ 45}{ 128}-\frac{ 189}{ 4}\lambda\)	\(-.26620727e-1\)
\(-\frac{ 9}{ 8}\)	\(\frac{ 7}{ 16}\)	\(-\frac{ 27}{ 64}\)	\(-\frac{ 45}{ 128}+\frac{ 189}{ 4}\lambda\)
\(-\frac{ 3}{ 2}\)	\(\frac{ 1}{ 4}\)	\(\frac{ 7}{ 16}\)	\(\frac{ 5}{ 32}+63\lambda\)
\(-3\)	\(-\frac{ 3}{ 2}\)	\(-\frac{ 9}{ 8}\)	\(\frac{ 1}{ 16}+126\lambda\)

\(-\frac{ 1}{ 2}+168\lambda\)	\(\frac{ 1}{ 4}+84\lambda\)	\(0\)	\(.7265788e-2\)
\(0\)	\(1\)	\(0\)	\(0\)
\(-6\)	\(1\)	\(1\)	\(\frac{ 1}{ 4}-84\lambda\)
\(-12\)	\(-6\)	\(0\)	\(-\frac{ 1}{ 2}-168\lambda\)

\(\frac{ 3}{ 2}-168\lambda\)	\(1\)	\(\frac{ 1}{ 2}\)	\(1\)
\(0\)	\(0\)	\(-1\)	\(0\)
\(6\)	\(-12\)	\(0\)	\(0\)
\(12\)	\(0\)	\(0\)	\(0\)

\(\frac{ 21}{ 16}-90\lambda\)	\(\frac{ 3}{ 8}\)	\(\frac{ 1}{ 2}\)	\(1\)
\(\frac{ 3}{ 8}\)	\(0\)	\(-1\)	\(0\)
\(\frac{ 9}{ 2}\)	\(-9\)	\(0\)	\(0\)
\(9\)	\(0\)	\(0\)	\(0\)

\(\frac{ 15}{ 16}+126\lambda\)	\(-\frac{ 7}{ 8}\)	\(\frac{ 1}{ 2}\)	\(1\)
\(\frac{ 9}{ 8}\)	\(0\)	\(-1\)	\(0\)
\(\frac{ 3}{ 2}\)	\(-3\)	\(0\)	\(0\)
\(3\)	\(0\)	\(0\)	\(0\)

Calabi-Yau differential operator database v.3

Summary

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

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:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice