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

Degree: 2

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

Maple LaTex

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

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

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

Note:

Hadamard product $A \ast$

3

New Number: 4.65 | AESZ: | Superseeker: 48 -9104 | Hash: 5ec2790b5eda514313634b7aeb0a295c

Degree: 4

$\theta^4-2^{4} x\left(5\theta^4+34\theta^3+25\theta^2+8\theta+1\right)+2^{11} x^{2}\left(5\theta^4+47\theta^3+90\theta^2+47\theta+8\right)+2^{16} x^{3}\left(51\theta^4+192\theta^3+155\theta^2+48\theta+5\right)+2^{23} x^{4}\left((2\theta+1)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 16, 144, -70400, -9858800, ...
--> OEIS
Normalized instanton numbers (n₀=1): 48, -1298, -9104, 387230, 102374160, ... ; Common denominator:...

Discriminant

$(32768z^2-208z+1)(1+64z)^2$

Local exponents

$-\frac{ 1}{ 64}$ $0$ $s_1$ $s_2$ $\frac{ 13}{ 4096}-\frac{ 7}{ 4096}\sqrt{ 7}I$ $\frac{ 13}{ 4096}+\frac{ 7}{ 4096}\sqrt{ 7}I$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $1$ $1$ $1$ $\frac{ 1}{ 2}$
$3$ $0$ $1$ $1$ $1$ $1$ $\frac{ 1}{ 2}$
$4$ $0$ $2$ $2$ $2$ $2$ $\frac{ 1}{ 2}$

\(-\frac{ 1}{ 64}\)	\(0\)	\(s_1\)	\(s_2\)	\(\frac{ 13}{ 4096}-\frac{ 7}{ 4096}\sqrt{ 7}I\)	\(\frac{ 13}{ 4096}+\frac{ 7}{ 4096}\sqrt{ 7}I\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(\frac{ 1}{ 2}\)
\(3\)	\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(\frac{ 1}{ 2}\)
\(4\)	\(0\)	\(2\)	\(2\)	\(2\)	\(2\)	\(\frac{ 1}{ 2}\)

Note:

Sporadic Operator. There is a second MUM-point hiding at infinity,
corresponding to Operator AESZ 295/4.64

4

New Number: 5.120 | AESZ: | Superseeker: 48 171120 | Hash: 3eb6b52ff225f7b2f94716d73344b578

Degree: 5

$\theta^4-2^{4} x\left(41\theta^4+34\theta^3+25\theta^2+8\theta+1\right)+2^{10} x^{2}\left(126\theta^4+108\theta^3+33\theta^2+6\theta+1\right)-2^{14} x^{3}\left(564\theta^4+504\theta^3+429\theta^2+195\theta+34\right)+2^{21} x^{4}(2\theta+1)(44\theta^3+78\theta^2+59\theta+17)-2^{28} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 16, 1680, 298240, 64975120, ...
--> OEIS
Normalized instanton numbers (n₀=1): 48, 2286, 171120, 17540830, 2229934864, ... ; Common denominator:...

Discriminant

$-(16z-1)(4096z^2-384z+1)(-1+128z)^2$

Local exponents

$0$ $\frac{ 3}{ 64}-\frac{ 1}{ 32}\sqrt{ 2}$ $\frac{ 1}{ 128}$ $\frac{ 1}{ 16}$ $\frac{ 3}{ 64}+\frac{ 1}{ 32}\sqrt{ 2}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$0$ $1$ $1$ $1$ $1$ $1$
$0$ $1$ $3$ $1$ $1$ $1$
$0$ $2$ $4$ $2$ $2$ $\frac{ 3}{ 2}$

\(0\)	\(\frac{ 3}{ 64}-\frac{ 1}{ 32}\sqrt{ 2}\)	\(\frac{ 1}{ 128}\)	\(\frac{ 1}{ 16}\)	\(\frac{ 3}{ 64}+\frac{ 1}{ 32}\sqrt{ 2}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(0\)	\(1\)	\(3\)	\(1\)	\(1\)	\(1\)
\(0\)	\(2\)	\(4\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

B-Incarnation as fibre product 62211- x 821--1

5

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 ...

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

6

New Number: 12.12 | AESZ: | Superseeker: 48 3184 | Hash: 2b1c995b5f2826ce90fc016ad86fd66f

Degree: 12

$\theta^4-2^{4} x\left(27\theta^4+42\theta^3+37\theta^2+16\theta+3\right)+2^{9} x^{2}\left(139\theta^4+430\theta^3+579\theta^2+376\theta+103\right)-2^{14} x^{3}\left(369\theta^4+1638\theta^3+2992\theta^2+2481\theta+819\right)+2^{19} x^{4}\left(667\theta^4+2870\theta^3+6158\theta^2+6571\theta+2559\right)-2^{24} x^{5}\left(1263\theta^4+3066\theta^3+2692\theta^2+4295\theta+2110\right)+2^{29} 3 x^{6}\left(787\theta^4+1842\theta^3-1598\theta^2-3339\theta-1652\right)-2^{34} x^{7}\left(3087\theta^4+9750\theta^3+2942\theta^2-13117\theta-9816\right)+2^{39} x^{8}\left(3227\theta^4+6254\theta^3+14286\theta^2+4793\theta-1948\right)-2^{44} x^{9}\left(3906\theta^4+1440\theta^3+5279\theta^2+7593\theta+3747\right)+2^{49} x^{10}\left(3896\theta^4+6208\theta^3+3391\theta^2+725\theta+525\right)-2^{54} 5 x^{11}\left(408\theta^4+1536\theta^3+2230\theta^2+1460\theta+361\right)+2^{59} 5^{2} x^{12}\left((2\theta+3)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 48, 2704, 179968, 14147856, ...
--> OEIS
Normalized instanton numbers (n₀=1): 48, 46, 3184, 409910, -3351792, ... ; Common denominator:...

Discriminant

$(16z-1)(32z-1)(4096z^2-192z+1)(64z-1)^2(163840z^3+1024z^2+32z-1)^2$

Local exponents

≈$-0.009802-0.019I$ ≈$-0.009802+0.019I$ $0$ $\frac{ 3}{ 128}-\frac{ 1}{ 128}\sqrt{ 5}$ ≈$0.013353$ $\frac{ 1}{ 64}$ $\frac{ 1}{ 32}$ $\frac{ 3}{ 128}+\frac{ 1}{ 128}\sqrt{ 5}$ $\frac{ 1}{ 16}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $\frac{ 3}{ 2}$
$1$ $1$ $0$ $1$ $1$ $0$ $1$ $1$ $1$ $\frac{ 3}{ 2}$
$3$ $3$ $0$ $1$ $3$ $1$ $1$ $1$ $1$ $\frac{ 3}{ 2}$
$4$ $4$ $0$ $2$ $4$ $1$ $2$ $2$ $2$ $\frac{ 3}{ 2}$

≈\(-0.009802-0.019I\)	≈\(-0.009802+0.019I\)	\(0\)	\(\frac{ 3}{ 128}-\frac{ 1}{ 128}\sqrt{ 5}\)	≈\(0.013353\)	\(\frac{ 1}{ 64}\)	\(\frac{ 1}{ 32}\)	\(\frac{ 3}{ 128}+\frac{ 1}{ 128}\sqrt{ 5}\)	\(\frac{ 1}{ 16}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 3}{ 2}\)
\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 3}{ 2}\)
\(3\)	\(3\)	\(0\)	\(1\)	\(3\)	\(1\)	\(1\)	\(1\)	\(1\)	\(\frac{ 3}{ 2}\)
\(4\)	\(4\)	\(0\)	\(2\)	\(4\)	\(1\)	\(2\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "12.12" from ...

7

New Number: 14.7 | AESZ: | Superseeker: 48 3184 | Hash: 9e304ff532f3cfafc29dfac77fdff067

Degree: 14

\(\theta^4-2^{4} x\left(35\theta^4+50\theta^3+49\theta^2+24\theta+5\right)+2^{9} x^{2}\left(255\theta^4+722\theta^3+1027\theta^2+740\theta+227\right)-2^{14} x^{3}\left(1033\theta^4+4298\theta^3+7994\theta^2+7243\theta+2695\right)+2^{19} x^{4}\left(2699\theta^4+13730\theta^3+30984\theta^2+33699\theta+14443\right)-2^{24} x^{5}\left(5407\theta^4+26718\theta^3+63946\theta^2+80619\theta+38786\right)+2^{29} x^{6}\left(10081\theta^4+39658\theta^3+68604\theta^2+85851\theta+43438\right)-2^{34} x^{7}\left(17583\theta^4+63666\theta^3+51252\theta^2-1045\theta-18966\right)+2^{39} x^{8}\left(25019\theta^4+98594\theta^3+101972\theta^2-44371\theta-87630\right)-2^{44} x^{9}\left(29162\theta^4+103060\theta^3+189337\theta^2+75677\theta-39871\right)+2^{49} x^{10}\left(32428\theta^4+78424\theta^3+166293\theta^2+155877\theta+49943\right)-2^{54} x^{11}\left(33248\theta^4+85104\theta^3+119906\theta^2+105882\theta+49279\right)+2^{59} x^{12}\left(24144\theta^4+97280\theta^3+159468\theta^2+125460\theta+41819\right)-2^{67} 5 x^{13}\left(244\theta^4+1456\theta^3+3353\theta^2+3523\theta+1423\right)+2^{75} 5^{2} x^{14}\left((\theta+2)^4\right)\)

Maple LaTex

Coefficients of the holomorphic solution: 1, 80, 5776, 422144, 32579856, ...
--> OEIS
Normalized instanton numbers (n₀=1): 48, 46, 3184, 409910, -3351792, ... ; Common denominator:...

Discriminant

$(16z-1)(32z-1)(4096z^2-192z+1)(163840z^3+1024z^2+32z-1)^2(64z-1)^4$

Local exponents

≈$-0.009802-0.019I$ ≈$-0.009802+0.019I$ $0$ $\frac{ 3}{ 128}-\frac{ 1}{ 128}\sqrt{ 5}$ ≈$0.013353$ $\frac{ 1}{ 64}$ $\frac{ 1}{ 32}$ $\frac{ 3}{ 128}+\frac{ 1}{ 128}\sqrt{ 5}$ $\frac{ 1}{ 16}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $-\frac{ 1}{ 2}$ $0$ $0$ $0$ $2$
$1$ $1$ $0$ $1$ $1$ $-\frac{ 1}{ 2}$ $1$ $1$ $1$ $2$
$3$ $3$ $0$ $1$ $3$ $\frac{ 1}{ 2}$ $1$ $1$ $1$ $2$
$4$ $4$ $0$ $2$ $4$ $\frac{ 1}{ 2}$ $2$ $2$ $2$ $2$

≈\(-0.009802-0.019I\)	≈\(-0.009802+0.019I\)	\(0\)	\(\frac{ 3}{ 128}-\frac{ 1}{ 128}\sqrt{ 5}\)	≈\(0.013353\)	\(\frac{ 1}{ 64}\)	\(\frac{ 1}{ 32}\)	\(\frac{ 3}{ 128}+\frac{ 1}{ 128}\sqrt{ 5}\)	\(\frac{ 1}{ 16}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(-\frac{ 1}{ 2}\)	\(0\)	\(0\)	\(0\)	\(2\)
\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(-\frac{ 1}{ 2}\)	\(1\)	\(1\)	\(1\)	\(2\)
\(3\)	\(3\)	\(0\)	\(1\)	\(3\)	\(\frac{ 1}{ 2}\)	\(1\)	\(1\)	\(1\)	\(2\)
\(4\)	\(4\)	\(0\)	\(2\)	\(4\)	\(\frac{ 1}{ 2}\)	\(2\)	\(2\)	\(2\)	\(2\)

Note:

This is operator "14.7" from ...

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

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

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

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

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

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

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:

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

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice