Calabi-Yau differential operator database v.3.0

1

New Number: 2.35 | AESZ: ~67 | Superseeker: 480 -16034720 | Hash: f06ee3928cd6d738db065f3f83d12160

Degree: 2

$\theta^4-2^{4} 3 x(2\theta+1)^2(72\theta^2+72\theta+31)+2^{12} 3^{6} x^{2}(2\theta+1)^2(2\theta+3)^2$

Coefficients of the holomorphic solution: 1, 1488, 5351184, 24363091200, 123873273392400, ...
--> OEIS
Normalized instanton numbers (n₀=1): 480, -226968, -16034720, 10943202744, -4352645747040, ... ; Common denominator:...

Discriminant

$(6912z-1)^2$

Local exponents

$0$ $\frac{ 1}{ 6912}$ $\infty$
$0$ $0$ $\frac{ 1}{ 2}$
$0$ $\frac{ 1}{ 6}$ $\frac{ 1}{ 2}$
$0$ $\frac{ 5}{ 6}$ $\frac{ 3}{ 2}$
$0$ $1$ $\frac{ 3}{ 2}$

\(0\)	\(\frac{ 1}{ 6912}\)	\(\infty\)
\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(\frac{ 1}{ 6}\)	\(\frac{ 1}{ 2}\)
\(0\)	\(\frac{ 5}{ 6}\)	\(\frac{ 3}{ 2}\)
\(0\)	\(1\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "2.35" from ...

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

2

New Number: 2.36 | AESZ: | Superseeker: -36 128217204 | Hash: 4dbde07f1392f8d49d0e10858d3a17f1

Degree: 2

$\theta^4-2^{2} 3^{2} x(3\theta+1)(3\theta+2)(72\theta^2+72\theta+31)+2^{8} 3^{8} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 2232, 13377960, 102324983040, 875961004703400, ...
--> OEIS
Normalized instanton numbers (n₀=1): -36, -486279, 128217204, -74772628524, 63925611915744, ... ; Common denominator:...

Discriminant

$(11664z-1)^2$

Local exponents

$0$ $\infty$ $\frac{ 1}{ 11664}$
$0$ $\frac{ 1}{ 3}$ $0$
$0$ $\frac{ 2}{ 3}$ $\frac{ 1}{ 6}$
$0$ $\frac{ 4}{ 3}$ $\frac{ 5}{ 6}$
$0$ $\frac{ 5}{ 3}$ $1$

\(0\)	\(\infty\)	\(\frac{ 1}{ 11664}\)
\(0\)	\(\frac{ 1}{ 3}\)	\(0\)
\(0\)	\(\frac{ 2}{ 3}\)	\(\frac{ 1}{ 6}\)
\(0\)	\(\frac{ 4}{ 3}\)	\(\frac{ 5}{ 6}\)
\(0\)	\(\frac{ 5}{ 3}\)	\(1\)

Note:

This is operator "2.36" from ...

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

3

New Number: 2.37 | AESZ: | Superseeker: -2592 81451104 | Hash: fb56d2f39692cfb98f66d467355b3c99

Degree: 2

$\theta^4-2^{4} 3 x(4\theta+1)(4\theta+3)(72\theta^2+72\theta+31)+2^{12} 3^{6} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 4464, 62430480, 1125574813440, 22774986122288400, ...
--> OEIS
Normalized instanton numbers (n₀=1): -2592, -307800, 81451104, 144135316512, 98667659422368, ... ; Common denominator:...

Discriminant

$(27648z-1)^2$

Local exponents

$0$ $\frac{ 1}{ 27648}$ $\infty$
$0$ $0$ $\frac{ 1}{ 4}$
$0$ $\frac{ 1}{ 6}$ $\frac{ 3}{ 4}$
$0$ $\frac{ 5}{ 6}$ $\frac{ 5}{ 4}$
$0$ $1$ $\frac{ 7}{ 4}$

\(0\)	\(\frac{ 1}{ 27648}\)	\(\infty\)
\(0\)	\(0\)	\(\frac{ 1}{ 4}\)
\(0\)	\(\frac{ 1}{ 6}\)	\(\frac{ 3}{ 4}\)
\(0\)	\(\frac{ 5}{ 6}\)	\(\frac{ 5}{ 4}\)
\(0\)	\(1\)	\(\frac{ 7}{ 4}\)

Note:

Hadamard product $B\ast c$.

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

4

New Number: 2.38 | AESZ: 61 | Superseeker: -41184 -5124430612320 | Hash: 191cd9ad5f43862072f3be6811803748

Degree: 2

$\theta^4-2^{4} 3^{2} x(6\theta+1)(6\theta+5)(72\theta^2+72\theta+31)+2^{12} 3^{8} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 22320, 2060205840, 248752033770240, 33839074380496104720, ...
--> OEIS
Normalized instanton numbers (n₀=1): -41184, 251271360, -5124430612320, 160031225395327320, -6251395923736354968480, ... ; Common denominator:...

Discriminant

$(186624z-1)^2$

Local exponents

$0$ $\frac{ 1}{ 186624}$ $\infty$
$0$ $0$ $\frac{ 1}{ 6}$
$0$ $\frac{ 1}{ 6}$ $\frac{ 5}{ 6}$
$0$ $\frac{ 5}{ 6}$ $\frac{ 7}{ 6}$
$0$ $1$ $\frac{ 11}{ 6}$

\(0\)	\(\frac{ 1}{ 186624}\)	\(\infty\)
\(0\)	\(0\)	\(\frac{ 1}{ 6}\)
\(0\)	\(\frac{ 1}{ 6}\)	\(\frac{ 5}{ 6}\)
\(0\)	\(\frac{ 5}{ 6}\)	\(\frac{ 7}{ 6}\)
\(0\)	\(1\)	\(\frac{ 11}{ 6}\)

Note:

This is operator "2.38" from ...

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

5

New Number: 2.58 | AESZ: 46 | Superseeker: -6 -104 | Hash: 2226ec115674e71c483ba2c0350e8adf

Degree: 2

$\theta^4-2 3 x(2\theta+1)^2(9\theta^2+9\theta+5)+2^{2} 3^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 30, 1782, 129900, 10463670, ...
--> OEIS
Normalized instanton numbers (n₀=1): -6, -6, -104, 36, -4812, ... ; Common denominator:...

Discriminant

$(108z-1)^2$

Local exponents

$0$ $\frac{ 1}{ 108}$ $\infty$
$0$ $0$ $\frac{ 1}{ 2}$
$0$ $\frac{ 1}{ 6}$ $1$
$0$ $\frac{ 5}{ 6}$ $1$
$0$ $1$ $\frac{ 3}{ 2}$

\(0\)	\(\frac{ 1}{ 108}\)	\(\infty\)
\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(\frac{ 1}{ 6}\)	\(1\)
\(0\)	\(\frac{ 5}{ 6}\)	\(1\)
\(0\)	\(1\)	\(\frac{ 3}{ 2}\)

Note:

Hadamard product $I \ast \iota$

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

6

New Number: 3.15 | AESZ: | Superseeker: -32 -16288 | Hash: e21c92d8f9a2222be40fdc71ea51ee35

Degree: 3

$\theta^4+2^{3} x\left(21\theta^4+42\theta^3+30\theta^2+9\theta+1\right)-2^{6} x^{2}(\theta+1)^2(96\theta^2+192\theta+77)+2^{9} 5^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -8, 720, -68480, 8123920, ...
--> OEIS
Normalized instanton numbers (n₀=1): -32, 468, -16288, 1681645/2, -53608288, ... ; Common denominator:...

Discriminant

$(200z+1)(-1+16z)^2$

Local exponents

$0$ $-\frac{ 1}{ 200}$ $\infty$ $\frac{ 1}{ 16}$
$0$ $0$ $\frac{ 1}{ 2}$ $0$
$0$ $1$ $1$ $\frac{ 1}{ 6}$
$0$ $1$ $2$ $\frac{ 5}{ 6}$
$0$ $2$ $\frac{ 5}{ 2}$ $1$

\(0\)	\(-\frac{ 1}{ 200}\)	\(\infty\)	\(\frac{ 1}{ 16}\)
\(0\)	\(0\)	\(\frac{ 1}{ 2}\)	\(0\)
\(0\)	\(1\)	\(1\)	\(\frac{ 1}{ 6}\)
\(0\)	\(1\)	\(2\)	\(\frac{ 5}{ 6}\)
\(0\)	\(2\)	\(\frac{ 5}{ 2}\)	\(1\)

Note:

Operator equivalent to AESZ 328

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

7

New Number: 3.20 | AESZ: 390 | Superseeker: 19 4455 | Hash: cd8ca8746f3610e70893770a090533f9

Degree: 3

$\theta^4-x\left(561\theta^4+1122\theta^3+975\theta^2+414\theta+70\right)+2^{2} 7^{2} x^{2}(\theta+1)^2(534\theta^2+1068\theta+433)-2^{2} 7^{4} 13^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 70, 8442, 1192660, 182057050, ...
--> OEIS
Normalized instanton numbers (n₀=1): 19, -276, 4455, -104648, 2969383, ... ; Common denominator:...

Discriminant

$-(169z-1)(-1+196z)^2$

Local exponents

$0$ $\frac{ 1}{ 196}$ $\infty$ $\frac{ 1}{ 169}$
$0$ $0$ $\frac{ 1}{ 2}$ $0$
$0$ $\frac{ 1}{ 6}$ $1$ $1$
$0$ $\frac{ 5}{ 6}$ $2$ $1$
$0$ $1$ $\frac{ 5}{ 2}$ $2$

\(0\)	\(\frac{ 1}{ 196}\)	\(\infty\)	\(\frac{ 1}{ 169}\)
\(0\)	\(0\)	\(\frac{ 1}{ 2}\)	\(0\)
\(0\)	\(\frac{ 1}{ 6}\)	\(1\)	\(1\)
\(0\)	\(\frac{ 5}{ 6}\)	\(2\)	\(1\)
\(0\)	\(1\)	\(\frac{ 5}{ 2}\)	\(2\)

Note:

This is operator "3.20" from ...

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

8

New Number: 5.65 | AESZ: 273 | Superseeker: 63/5 14016/5 | Hash: cf49bc645cb0404ce7bc9ca1d41d3152

Degree: 5

$5^{2} \theta^4-3 5 x\left(333\theta^4+882\theta^3+781\theta^2+340\theta+60\right)+2^{2} 3^{2} x^{2}\left(5184\theta^4+40662\theta^3+71829\theta^2+47700\theta+11540\right)+2^{2} 3^{5} x^{3}\left(8424\theta^4+9720\theta^3-46899\theta^2-63045\theta-21260\right)-2^{4} 3^{8} x^{4}\left(1296\theta^4+12312\theta^3+23094\theta^2+16263\theta+3956\right)-2^{6} 3^{11} x^{5}(3\theta+2)(3\theta+4)(6\theta+5)(6\theta+7)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 36, 2196, 161280, 13032900, ...
--> OEIS
Normalized instanton numbers (n₀=1): 63/5, -747/4, 14016/5, -55584, 6071598/5, ... ; Common denominator:...

Discriminant

$-(-1+27z)(108z+5)^2(108z-1)^2$

Local exponents

$0$ $\frac{ 1}{ 108}$ $\infty$ $-\frac{ 5}{ 108}$ $\frac{ 1}{ 27}$
$0$ $0$ $\frac{ 2}{ 3}$ $0$ $0$
$0$ $\frac{ 1}{ 6}$ $\frac{ 5}{ 6}$ $1$ $1$
$0$ $\frac{ 5}{ 6}$ $\frac{ 7}{ 6}$ $3$ $1$
$0$ $1$ $\frac{ 4}{ 3}$ $4$ $2$

\(0\)	\(\frac{ 1}{ 108}\)	\(\infty\)	\(-\frac{ 5}{ 108}\)	\(\frac{ 1}{ 27}\)
\(0\)	\(0\)	\(\frac{ 2}{ 3}\)	\(0\)	\(0\)
\(0\)	\(\frac{ 1}{ 6}\)	\(\frac{ 5}{ 6}\)	\(1\)	\(1\)
\(0\)	\(\frac{ 5}{ 6}\)	\(\frac{ 7}{ 6}\)	\(3\)	\(1\)
\(0\)	\(1\)	\(\frac{ 4}{ 3}\)	\(4\)	\(2\)

Note:

This is operator "5.65" from ...

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

9

New Number: 5.8 | AESZ: | Superseeker: 84 1522388/3 | Hash: f4b2a154823e983e64682b48f6254a15

Degree: 5

$\theta^4-2^{2} 3 x\left(192\theta^4+240\theta^3+191\theta^2+71\theta+10\right)+2^{7} 3^{2} x^{2}\left(1746\theta^4+3960\theta^3+4323\theta^2+2247\theta+395\right)-2^{12} 3^{4} x^{3}\left(2538\theta^4+7776\theta^3+9915\theta^2+5643\theta+1030\right)+2^{17} 3^{6} x^{4}\left(1782\theta^4+6480\theta^3+8793\theta^2+4905\theta+875\right)-2^{23} 3^{11} x^{5}(\theta+1)^2(3\theta+1)(3\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 120, 34920, 13157760, 5790070440, ...
--> OEIS
Normalized instanton numbers (n₀=1): 84, 9210, 1522388/3, 120348978, 19186016160, ... ; Common denominator:...

Discriminant

$-(-1+864z)(432z-1)^2(288z-1)^2$

Local exponents

$0$ $\frac{ 1}{ 288}$ $\infty$ $\frac{ 1}{ 432}$ $\frac{ 1}{ 864}$
$0$ $0$ $\frac{ 1}{ 3}$ $0$ $0$
$0$ $1$ $1$ $\frac{ 1}{ 6}$ $1$
$0$ $3$ $1$ $\frac{ 5}{ 6}$ $1$
$0$ $4$ $\frac{ 5}{ 3}$ $1$ $2$

\(0\)	\(\frac{ 1}{ 288}\)	\(\infty\)	\(\frac{ 1}{ 432}\)	\(\frac{ 1}{ 864}\)
\(0\)	\(0\)	\(\frac{ 1}{ 3}\)	\(0\)	\(0\)
\(0\)	\(1\)	\(1\)	\(\frac{ 1}{ 6}\)	\(1\)
\(0\)	\(3\)	\(1\)	\(\frac{ 5}{ 6}\)	\(1\)
\(0\)	\(4\)	\(\frac{ 5}{ 3}\)	\(1\)	\(2\)

Note:

This is operator "5.8" from ...

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

10

New Number: 8.71 | AESZ: | Superseeker: -15 14044/3 | Hash: de469dbb89801caa07ec523e3b0e4772

Degree: 8

$\theta^4+3 x\left(111\theta^4+186\theta^3+169\theta^2+76\theta+14\right)+2 3^{2} x^{2}\left(2529\theta^4+6930\theta^3+9483\theta^2+6096\theta+1508\right)+2^{2} 3^{4} x^{3}\left(11367\theta^4+32886\theta^3+47658\theta^2+36099\theta+10084\right)+2^{3} 3^{6} x^{4}\left(37017\theta^4+100278\theta^3+103626\theta^2+56025\theta+11582\right)+2^{4} 3^{9} x^{5}\left(29160\theta^4+80676\theta^3+84897\theta^2+27261\theta-568\right)+2^{5} 3^{12} x^{6}\left(16200\theta^4+40824\theta^3+53991\theta^2+31131\theta+6578\right)+2^{7} 3^{17} x^{7}\left(360\theta^4+936\theta^3+1056\theta^2+585\theta+131\right)+2^{9} 3^{20} x^{8}(\theta+1)^2(6\theta+5)(6\theta+7)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -42, 2682, -200436, 16310250, ...
--> OEIS
Normalized instanton numbers (n₀=1): -15, 39, 14044/3, 213069/2, 462576, ... ; Common denominator:...

Discriminant

$(27z+1)(54z+1)(108z+1)^2(1944z^2+18z+1)^2$

Local exponents

$0$ $-\frac{ 1}{ 216}-\frac{ 1}{ 216}\sqrt{ 23}I$ $\infty$ $-\frac{ 1}{ 54}$ $-\frac{ 1}{ 108}$ $-\frac{ 1}{ 216}+\frac{ 1}{ 216}\sqrt{ 23}I$ $-\frac{ 1}{ 27}$
$0$ $0$ $\frac{ 5}{ 6}$ $0$ $0$ $0$ $0$
$0$ $1$ $1$ $1$ $\frac{ 1}{ 6}$ $1$ $1$
$0$ $3$ $1$ $1$ $\frac{ 5}{ 6}$ $3$ $1$
$0$ $4$ $\frac{ 7}{ 6}$ $2$ $1$ $4$ $2$

\(0\)	\(-\frac{ 1}{ 216}-\frac{ 1}{ 216}\sqrt{ 23}I\)	\(\infty\)	\(-\frac{ 1}{ 54}\)	\(-\frac{ 1}{ 108}\)	\(-\frac{ 1}{ 216}+\frac{ 1}{ 216}\sqrt{ 23}I\)	\(-\frac{ 1}{ 27}\)
\(0\)	\(0\)	\(\frac{ 5}{ 6}\)	\(0\)	\(0\)	\(0\)	\(0\)
\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 1}{ 6}\)	\(1\)	\(1\)
\(0\)	\(3\)	\(1\)	\(1\)	\(\frac{ 5}{ 6}\)	\(3\)	\(1\)
\(0\)	\(4\)	\(\frac{ 7}{ 6}\)	\(2\)	\(1\)	\(4\)	\(2\)

Note:

This is operator "8.71" from ...

\(-\frac{ 1}{ 6}+I3^{ \frac{ 6}{ 7}}exp(-\frac{ 4}{ 35})\)	\(\frac{ 7}{ 4}+236\lambda\)	\(.38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889-.762440866I\)	\(-.287127832\)
\(\frac{ 4}{ 3}\)	\(\frac{ 5}{ 3}\)	\(-\frac{ 4}{ 9}\)	\(.38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889+.762440866I\)
\(-2\)	\(3\)	\(\frac{ 5}{ 3}\)	\(\frac{ 7}{ 4}-236\lambda\)
\(-4\)	\(-2\)	\(\frac{ 4}{ 3}\)	\(-\frac{ 1}{ 6}-I3^{ \frac{ 6}{ 7}}exp(-\frac{ 4}{ 35})\)

\(\frac{ 1}{ 16}+342\lambda\)	\(\frac{ 45}{ 32}+171\lambda\)	\(.27343750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-.483390739I\)	\(-.36685353e-1\)
\(\frac{ 7}{ 8}\)	\(\frac{ 23}{ 16}\)	\(-\frac{ 49}{ 192}\)	\(.27343750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+.483390739I\)
\(-\frac{ 3}{ 2}\)	\(\frac{ 9}{ 4}\)	\(\frac{ 23}{ 16}\)	\(\frac{ 45}{ 32}-171\lambda\)
\(-3\)	\(-\frac{ 3}{ 2}\)	\(\frac{ 7}{ 8}\)	\(\frac{ 1}{ 16}-342\lambda\)

\(\frac{ 7}{ 24}+\frac{ 885}{ 878}I\)	\(\frac{ 17}{ 16}+104\lambda\)	\(\frac{ 85}{ 576}-\frac{ 130}{ 3}\lambda\)	\(.244599715\)
\(\frac{ 5}{ 12}\)	\(\frac{ 29}{ 24}\)	\(-\frac{ 25}{ 288}\)	\(\frac{ 85}{ 576}+\frac{ 130}{ 3}\lambda\)
\(-1\)	\(\frac{ 3}{ 2}\)	\(\frac{ 29}{ 24}\)	\(\frac{ 17}{ 16}-104\lambda\)
\(-2\)	\(-1\)	\(\frac{ 5}{ 12}\)	\(\frac{ 7}{ 24}-\frac{ 885}{ 878}I\)

\(\frac{ 25}{ 48}+62\lambda\)	\(\frac{ 23}{ 32}+31\lambda\)	\(-\frac{ 23}{ 1152}+\frac{ 31}{ 12}\lambda\)	\(.598529843\)
\(-\frac{ 1}{ 24}\)	\(\frac{ 47}{ 48}\)	\(-\frac{ 1}{ 576}\)	\(-\frac{ 23}{ 1152}-\frac{ 31}{ 12}\lambda\)
\(-\frac{ 1}{ 2}\)	\(\frac{ 3}{ 4}\)	\(\frac{ 47}{ 48}\)	\(\frac{ 23}{ 32}-31\lambda\)
\(-1\)	\(-\frac{ 1}{ 2}\)	\(-\frac{ 1}{ 24}\)	\(\frac{ 25}{ 48}-62\lambda\)

\(\frac{ 7}{ 12}-224\lambda\)	\(-\frac{ 49}{ 12}\)	\(\frac{ 6}{ 7}\)	\(1\)
\(-\frac{ 7}{ 12}\)	\(\frac{ 35}{ 2}\)	\(-1\)	\(0\)
\(7\)	\(-49\)	\(0\)	\(0\)
\(49\)	\(0\)	\(0\)	\(0\)

\(\frac{ 7}{ 6}-\frac{ 10413121032779260648346948458175935308908666354681396315952835358306843793103279948239733597798534695}{ 4552537122981102476060103483058775865936383743190033321979354230308802848949268282146611842149780696}I\)	\(\frac{ 5}{ 3}\)	\(\frac{ 1}{ 2}\)	\(1\)
\(-\frac{ 4}{ 3}\)	\(0\)	\(-1\)	\(0\)
\(2\)	\(-4\)	\(0\)	\(0\)
\(4\)	\(0\)	\(0\)	\(0\)

\(\frac{ 15}{ 16}-342\lambda\)	\(\frac{ 9}{ 8}\)	\(\frac{ 1}{ 2}\)	\(1\)
\(-\frac{ 7}{ 8}\)	\(0\)	\(-1\)	\(0\)
\(\frac{ 3}{ 2}\)	\(-3\)	\(0\)	\(0\)
\(3\)	\(0\)	\(0\)	\(0\)

\(\frac{ 17}{ 24}-\frac{ 885}{ 878}I\)	\(\frac{ 7}{ 12}\)	\(\frac{ 1}{ 2}\)	\(1\)
\(-\frac{ 5}{ 12}\)	\(0\)	\(-1\)	\(0\)
\(1\)	\(-2\)	\(0\)	\(0\)
\(2\)	\(0\)	\(0\)	\(0\)

\(\frac{ 23}{ 48}-62\lambda\)	\(\frac{ 1}{ 24}\)	\(\frac{ 1}{ 2}\)	\(1\)
\(\frac{ 1}{ 24}\)	\(0\)	\(-1\)	\(0\)
\(\frac{ 1}{ 2}\)	\(-1\)	\(0\)	\(0\)
\(1\)	\(0\)	\(0\)	\(0\)

\(\frac{ 1}{ 2}+36\lambda\)	\(\frac{ 1}{ 4}+6\lambda\)	\(0\)	\(.19987912e-1\)
\(0\)	\(1\)	\(0\)	\(0\)
\(-6\)	\(3\)	\(1\)	\(\frac{ 1}{ 4}-6\lambda\)
\(-36\)	\(-6\)	\(0\)	\(\frac{ 1}{ 2}-36\lambda\)

\(-\frac{ 17}{ 12}-58\lambda\)	\(\frac{ 17}{ 6}\)	\(\frac{ 1}{ 2}\)	\(1\)
\(-\frac{ 25}{ 6}\)	\(0\)	\(-1\)	\(0\)
\(-8\)	\(16\)	\(0\)	\(0\)
\(-16\)	\(0\)	\(0\)	\(0\)

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:

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

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