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: 4.33 | AESZ: 55 | Superseeker: 76/3 144196/3 | Hash: 7e88cd5b7dc1c51022b66ac6f009218f

Degree: 4

$3^{2} \theta^4-2^{2} 3 x\left(208\theta^4+224\theta^3+163\theta^2+51\theta+6\right)+2^{9} x^{2}\left(32\theta^4-928\theta^3-1606\theta^2-837\theta-141\right)+2^{16} x^{3}\left(144\theta^4+576\theta^3+467\theta^2+144\theta+15\right)-2^{24} x^{4}\left((2\theta+1)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 8, 936, 108800, 16748200, ...
--> OEIS
Normalized instanton numbers (n₀=1): 76/3, 3476/3, 144196/3, 3563196, 309069600, ... ; Common denominator:...

Discriminant

$-(64z+1)(256z-1)(-3+128z)^2$

Local exponents

$-\frac{ 1}{ 64}$ $0$ $\frac{ 1}{ 256}$ $\frac{ 3}{ 128}$ $\infty$
$0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $1$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $3$ $\frac{ 1}{ 2}$
$2$ $0$ $2$ $4$ $\frac{ 1}{ 2}$

\(-\frac{ 1}{ 64}\)	\(0\)	\(\frac{ 1}{ 256}\)	\(\frac{ 3}{ 128}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(1\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(3\)	\(\frac{ 1}{ 2}\)
\(2\)	\(0\)	\(2\)	\(4\)	\(\frac{ 1}{ 2}\)

Note:

Sporadic operator. There is a second MUM-point
hiding at infinity, corresponding to Operator 4.56

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-88\)	\(48\)	\(12\)	\(6\)

3

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	,...

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

4

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 ...

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

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

5

New Number: 5.4 | AESZ: 21 | Superseeker: 8/5 152/5 | Hash: 42a2bc0f0ee2a405ede956176c95721f

Degree: 5

$5^{2} \theta^4-2^{2} 5 x\left(36\theta^4+84\theta^3+72\theta^2+30\theta+5\right)-2^{4} x^{2}\left(181\theta^4+268\theta^3+71\theta^2-70\theta-35\right)+2^{8} x^{3}(\theta+1)(37\theta^3+248\theta^2+375\theta+165)+2^{10} x^{4}\left(39\theta^4+198\theta^3+331\theta^2+232\theta+59\right)+2^{15} x^{5}\left((\theta+1)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 4, 44, 688, 13036, ...
--> OEIS
Normalized instanton numbers (n₀=1): 8/5, 57/10, 152/5, 253, 11552/5, ... ; Common denominator:...

Discriminant

$(4z+1)(32z-1)(4z-1)(8z+5)^2$

Local exponents

$-\frac{ 5}{ 8}$ $-\frac{ 1}{ 4}$ $0$ $\frac{ 1}{ 32}$ $\frac{ 1}{ 4}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $1$
$1$ $1$ $0$ $1$ $1$ $1$
$3$ $1$ $0$ $1$ $1$ $1$
$4$ $2$ $0$ $2$ $2$ $1$

\(-\frac{ 5}{ 8}\)	\(-\frac{ 1}{ 4}\)	\(0\)	\(\frac{ 1}{ 32}\)	\(\frac{ 1}{ 4}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)
\(3\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)
\(4\)	\(2\)	\(0\)	\(2\)	\(2\)	\(1\)

Note:

There is a second MUM-point at infinity, corresponding to
Operator AESZ 71/5.11

A-Incarnation: (2,0),(02),(1,1),(1,1),(1,1) intersection in $P^4 \times P^4$

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-88\)	\(104\)	\(80\)	\(22\)

6

New Number: 5.83 | AESZ: 316 | Superseeker: 852/11 1678156/11 | Hash: b8201d587a016cc013e2477aadb5c1ff

Degree: 5

$11^{2} \theta^4-2^{2} 3 11 x\left(364\theta^4+824\theta^3+599\theta^2+187\theta+22\right)-2^{5} x^{2}\left(62164\theta^4+84496\theta^3+12499\theta^2-6402\theta-1584\right)-2^{4} 3 x^{3}\left(484016\theta^4+474144\theta^3+366952\theta^2+161832\theta+27027\right)-2^{11} 3^{2} x^{4}(964\theta^2+1360\theta+669)(2\theta+1)^2-2^{16} 3^{4} x^{5}(2\theta+1)^2(2\theta+3)^2$

Maple LaTex

Coefficients of the holomorphic solution: 1, 24, 3240, 675600, 171901800, ...
--> OEIS
Normalized instanton numbers (n₀=1): 852/11, 21572/11, 1678156/11, 15912512, 22956446184/11, ... ; Common denominator:...

Discriminant

$-(2304z^3+1664z^2+432z-1)(11+192z)^2$

Local exponents

≈$-0.362258-0.240689I$ ≈$-0.362258+0.240689I$ $-\frac{ 11}{ 192}$ $0$ ≈$0.002294$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $1$ $1$ $0$ $1$ $\frac{ 1}{ 2}$
$1$ $1$ $3$ $0$ $1$ $\frac{ 3}{ 2}$
$2$ $2$ $4$ $0$ $2$ $\frac{ 3}{ 2}$

≈\(-0.362258-0.240689I\)	≈\(-0.362258+0.240689I\)	\(-\frac{ 11}{ 192}\)	\(0\)	≈\(0.002294\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(3\)	\(0\)	\(1\)	\(\frac{ 3}{ 2}\)
\(2\)	\(2\)	\(4\)	\(0\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.83" from ...

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-88\)	\(50\)	\(11\)	\(6\)

7

New Number: 6.9 | AESZ: | Superseeker: 31/81 29/9 | Hash: 98af5121f39c27098356e3ade277f975

Degree: 6

$3^{8} \theta^4-3^{4} x\left(1234\theta^4+2168\theta^3+1975\theta^2+891\theta+162\right)-x^{2}\left(428004+1521180\theta+2033921\theta^2+1177556\theta^3+205589\theta^4\right)+x^{3}\left(2310517\theta^4+12882402\theta^3+26939429\theta^2+25052328\theta+8683524\right)-2^{2} 5^{2} x^{4}\left(51526\theta^4+332687\theta^3+804453\theta^2+849398\theta+325796\right)+2^{2} 5^{4} x^{5}(\theta+1)(1593\theta^3+8667\theta^2+15104\theta+8516)-2^{4} 5^{6} x^{6}(\theta+2)(\theta+1)(2\theta+3)^2$

Maple LaTex

Coefficients of the holomorphic solution: 1, 2, 14, 104, 1030, ...
--> OEIS
Normalized instanton numbers (n₀=1): 31/81, 40/27, 29/9, 1532/81, 6551/81, ... ; Common denominator:...

Discriminant

$-(16z-1)(25z^3-17z^2+2z+1)(-81+50z)^2$

Local exponents

≈$-0.17455$ $0$ $\frac{ 1}{ 16}$ ≈$0.427275-0.215865I$ ≈$0.427275+0.215865I$ $\frac{ 81}{ 50}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $1$
$1$ $0$ $1$ $1$ $1$ $1$ $\frac{ 3}{ 2}$
$1$ $0$ $1$ $1$ $1$ $3$ $\frac{ 3}{ 2}$
$2$ $0$ $2$ $2$ $2$ $4$ $2$

≈\(-0.17455\)	\(0\)	\(\frac{ 1}{ 16}\)	≈\(0.427275-0.215865I\)	≈\(0.427275+0.215865I\)	\(\frac{ 81}{ 50}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(\frac{ 3}{ 2}\)
\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(3\)	\(\frac{ 3}{ 2}\)
\(2\)	\(0\)	\(2\)	\(2\)	\(2\)	\(4\)	\(2\)

Note:

This is operator "6.9" from ...

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-88\)	\(132\)	\(162\)	\(38\)

8

New Number: 8.18 | AESZ: 197 | Superseeker: 3 1621/13 | Hash: 4cc8bdba73e5fa6cb4089fa5296429de

Degree: 8

$13^{2} \theta^4-13^{2} x\left(41\theta^4+82\theta^3+67\theta^2+26\theta+4\right)-2^{3} 13 x^{2}\left(471\theta^4+1788\theta^3+2555\theta^2+1534\theta+338\right)+2^{6} 13 x^{3}\left(251\theta^4+1014\theta^3+1798\theta^2+1413\theta+405\right)+2^{9} x^{4}\left(749\theta^4+436\theta^3-4908\theta^2-6266\theta-2145\right)-2^{12} x^{5}\left(379\theta^4+1270\theta^3+967\theta^2-42\theta-178\right)-2^{15} x^{6}\left(9\theta^4-156\theta^3-273\theta^2-156\theta-28\right)+2^{18} x^{7}\left(13\theta^4+26\theta^3+20\theta^2+7\theta+1\right)-2^{21} x^{8}\left((\theta+1)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 4, 68, 1552, 43156, ...
--> OEIS
Normalized instanton numbers (n₀=1): 3, 226/13, 1621/13, 20666/13, 289056/13, ... ; Common denominator:...

Discriminant

$-(z-1)(8z+1)(64z^2-48z+1)(-13+64z^2)^2$

Local exponents

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

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

Note:

The operator has a second MUM-point at infinity, corresponding to operator 8.19.

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-88\)	\(-8\)	\(52\)	\(8\)

9

New Number: 8.32 | AESZ: 317 | Superseeker: 69/4 14365/12 | Hash: cda8cce31025f51636125bea67a820d1

Degree: 8

$2^{4} \theta^4-2^{2} 3 x\left(162\theta^4+414\theta^3+335\theta^2+128\theta+20\right)+3^{3} x^{2}\left(1219\theta^4+10906\theta^3+18963\theta^2+11824\theta+2708\right)+3^{5} 5 x^{3}\left(922\theta^4+162\theta^3-6403\theta^2-6576\theta-1964\right)-3^{7} x^{4}\left(10358\theta^4+58054\theta^3+62251\theta^2+29672\theta+4907\right)-3^{9} 5 x^{5}\left(1519\theta^4-1262\theta^3+1371\theta^2+4264\theta+1802\right)+2 3^{11} 5 x^{6}\left(1727\theta^4+3702\theta^3+3085\theta^2+882\theta+17\right)-3^{13} 5^{2} x^{7}\left(239\theta^4+460\theta^3+314\theta^2+84\theta+6\right)-3^{16} 5^{2} x^{8}\left((\theta+1)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 15, 459, 19545, 1019259, ...
--> OEIS
Normalized instanton numbers (n₀=1): 69/4, -30, 14365/12, 3015/2, 1376205/4, ... ; Common denominator:...

Discriminant

$-(27z-1)(243z^3+2214z^2-117z+1)(-4-45z+405z^2)^2$

Local exponents

≈$-9.163702$ $\frac{ 1}{ 18}-\frac{ 1}{ 90}\sqrt{ 105}$ $0$ ≈$0.010727$ $\frac{ 1}{ 27}$ ≈$0.041864$ $\frac{ 1}{ 18}+\frac{ 1}{ 90}\sqrt{ 105}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $0$ $1$
$1$ $1$ $0$ $1$ $1$ $1$ $1$ $1$
$1$ $3$ $0$ $1$ $1$ $1$ $3$ $1$
$2$ $4$ $0$ $2$ $2$ $2$ $4$ $1$

≈\(-9.163702\)	\(\frac{ 1}{ 18}-\frac{ 1}{ 90}\sqrt{ 105}\)	\(0\)	≈\(0.010727\)	\(\frac{ 1}{ 27}\)	≈\(0.041864\)	\(\frac{ 1}{ 18}+\frac{ 1}{ 90}\sqrt{ 105}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(1\)	\(3\)	\(0\)	\(1\)	\(1\)	\(1\)	\(3\)	\(1\)
\(2\)	\(4\)	\(0\)	\(2\)	\(2\)	\(2\)	\(4\)	\(1\)

Note:

This operator has a second MUM-point at infininty corresponding to operator 8.31

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

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

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

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

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

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