Calabi-Yau differential operator database v.3.0

1

New Number: 2.61 | AESZ: 26 | Superseeker: 10 1724 | Hash: f3fc09474973b19b8bdb783e3322eb65

Degree: 2

$\theta^4-2 x(2\theta+1)^2(13\theta^2+13\theta+4)-2^{2} 3 x^{2}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

Coefficients of the holomorphic solution: 1, 8, 288, 15200, 968800, ...
--> OEIS
Normalized instanton numbers (n₀=1): 10, 191/2, 1724, 45680, 1478214, ... ; Common denominator:...

Discriminant

$-(4z+1)(108z-1)$

Local exponents

$-\frac{ 1}{ 4}$ $0$ $\frac{ 1}{ 108}$ $\infty$
$0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $\frac{ 2}{ 3}$
$1$ $0$ $1$ $\frac{ 4}{ 3}$
$2$ $0$ $2$ $\frac{ 3}{ 2}$

\(-\frac{ 1}{ 4}\)	\(0\)	\(\frac{ 1}{ 108}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(\frac{ 2}{ 3}\)
\(1\)	\(0\)	\(1\)	\(\frac{ 4}{ 3}\)
\(2\)	\(0\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

A-incarnation: $X(1,1,1,1,2) \subset Grass(2,6)$

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-116\)	\(76\)	\(28\)	\(11\)

2

New Number: 5.108 | AESZ: 365 | Superseeker: 4 1268 | Hash: f84624e83cd4eb2cc90693bd5627efcf

Degree: 5

$\theta^4-2^{2} x\left(99\theta^4+78\theta^3+65\theta^2+26\theta+4\right)+2^{6} x^{2}\left(938\theta^4+1382\theta^3+1269\theta^2+554\theta+92\right)-2^{10} x^{3}\left(4171\theta^4+8736\theta^3+8690\theta^2+3948\theta+680\right)+2^{15} 5 x^{4}(2\theta+1)(418\theta^3+951\theta^2+846\theta+260)-2^{19} 3 5^{2} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 16, 720, 44800, 3245200, ...
--> OEIS
Normalized instanton numbers (n₀=1): 4, 107/2, 1268, 89439/4, 396908, ... ; Common denominator:...

Discriminant

$-(108z-1)(2048z^2-128z+1)(-1+80z)^2$

Local exponents

$0$ $\frac{ 1}{ 32}-\frac{ 1}{ 64}\sqrt{ 2}$ $\frac{ 1}{ 108}$ $\frac{ 1}{ 80}$ $\frac{ 1}{ 32}+\frac{ 1}{ 64}\sqrt{ 2}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$0$ $1$ $1$ $1$ $1$ $\frac{ 2}{ 3}$
$0$ $1$ $1$ $3$ $1$ $\frac{ 4}{ 3}$
$0$ $2$ $2$ $4$ $2$ $\frac{ 3}{ 2}$

\(0\)	\(\frac{ 1}{ 32}-\frac{ 1}{ 64}\sqrt{ 2}\)	\(\frac{ 1}{ 108}\)	\(\frac{ 1}{ 80}\)	\(\frac{ 1}{ 32}+\frac{ 1}{ 64}\sqrt{ 2}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(\frac{ 2}{ 3}\)
\(0\)	\(1\)	\(1\)	\(3\)	\(1\)	\(\frac{ 4}{ 3}\)
\(0\)	\(2\)	\(2\)	\(4\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.108" from ...

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-36\)	\(112\)	\(64\)	\(20\)

3

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	,...

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

4

New Number: 5.115 | AESZ: 413 | Superseeker: -3843 -2715123387 | Hash: 2cc16ba9e49744872ae72bfd6b36d064

Degree: 5

$\theta^4-3^{2} x\left(2835\theta^4-162\theta^3+261\theta^2+342\theta+68\right)+2^{2} 3^{9} x^{2}\left(3024\theta^4+918\theta^3+1977\theta^2+606\theta+64\right)-2^{2} 3^{16} x^{3}\left(5832\theta^4+7128\theta^3+7137\theta^2+3087\theta+524\right)+2^{4} 3^{25} x^{4}(2\theta+1)(72\theta^3+144\theta^2+121\theta+36)-2^{6} 3^{31} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 612, 836244, 1455469200, 2860801391700, ...
--> OEIS
Normalized instanton numbers (n₀=1): -3843, -9668061/4, -2715123387, -3984527414448, -6798579266503881, ... ; Common denominator:...

Discriminant

$-(-1+2187z)(8748z-1)^2(2916z-1)^2$

Local exponents

$0$ $\frac{ 1}{ 8748}$ $\frac{ 1}{ 2916}$ $\frac{ 1}{ 2187}$ $\infty$
$0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$0$ $1$ $\frac{ 1}{ 2}$ $1$ $\frac{ 2}{ 3}$
$0$ $3$ $\frac{ 1}{ 2}$ $1$ $\frac{ 4}{ 3}$
$0$ $4$ $1$ $2$ $\frac{ 3}{ 2}$

\(0\)	\(\frac{ 1}{ 8748}\)	\(\frac{ 1}{ 2916}\)	\(\frac{ 1}{ 2187}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(\frac{ 1}{ 2}\)	\(1\)	\(\frac{ 2}{ 3}\)
\(0\)	\(3\)	\(\frac{ 1}{ 2}\)	\(1\)	\(\frac{ 4}{ 3}\)
\(0\)	\(4\)	\(1\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.115" from ...

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

5

New Number: 5.33 | AESZ: 216 | Superseeker: 9 14201/3 | Hash: af7027bf24acce4fd0ed5b09e575e2a5

Degree: 5

$\theta^4-3 x\theta(2+11\theta+18\theta^2+27\theta^3)-2 3^{3} x^{2}\left(72\theta^4+414\theta^3+603\theta^2+330\theta+64\right)+2^{2} 3^{5} x^{3}\left(93\theta^4-720\theta^2-708\theta-184\right)+2^{3} 3^{7} x^{4}(2\theta+1)(54\theta^3+405\theta^2+544\theta+200)-2^{4} 3^{10} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 0, 216, 7200, 567000, ...
--> OEIS
Normalized instanton numbers (n₀=1): 9, 225, 14201/3, 154800, 6298596, ... ; Common denominator:...

Discriminant

$-(27z+1)(108z-1)(36z+1)(-1+18z)^2$

Local exponents

$-\frac{ 1}{ 27}$ $-\frac{ 1}{ 36}$ $0$ $\frac{ 1}{ 108}$ $\frac{ 1}{ 18}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $1$ $0$ $1$ $1$ $\frac{ 2}{ 3}$
$1$ $1$ $0$ $1$ $3$ $\frac{ 4}{ 3}$
$2$ $2$ $0$ $2$ $4$ $\frac{ 3}{ 2}$

\(-\frac{ 1}{ 27}\)	\(-\frac{ 1}{ 36}\)	\(0\)	\(\frac{ 1}{ 108}\)	\(\frac{ 1}{ 18}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(\frac{ 2}{ 3}\)
\(1\)	\(1\)	\(0\)	\(1\)	\(3\)	\(\frac{ 4}{ 3}\)
\(2\)	\(2\)	\(0\)	\(2\)	\(4\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.33" from ...

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-52\)	\(48\)	\(18\)	\(7\)

6

New Number: 5.35 | AESZ: 218 | Superseeker: 138/7 42984/7 | Hash: a76111af659715caf2c4344eedd9d678

Degree: 5

$7^{2} \theta^4-2 3 7 x\left(192\theta^4+396\theta^3+303\theta^2+105\theta+14\right)+2^{2} 3 x^{2}\left(1188\theta^4+11736\theta^3+20431\theta^2+12152\theta+2436\right)+2^{2} 3^{3} x^{3}\left(532\theta^4+504\theta^3-3455\theta^2-3829\theta-1036\right)-2^{4} 3^{4} x^{4}(2\theta+1)(36\theta^3+306\theta^2+421\theta+156)-2^{6} 3^{4} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 12, 612, 48000, 4580100, ...
--> OEIS
Normalized instanton numbers (n₀=1): 138/7, 1506/7, 42984/7, 235596, 78950334/7, ... ; Common denominator:...

Discriminant

$-(1296z^3-864z^2+168z-1)(7+12z)^2$

Local exponents

$-\frac{ 7}{ 12}$ $0$ ≈$0.006145$ ≈$0.330261-0.128447I$ ≈$0.330261+0.128447I$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $1$ $1$ $\frac{ 2}{ 3}$
$3$ $0$ $1$ $1$ $1$ $\frac{ 4}{ 3}$
$4$ $0$ $2$ $2$ $2$ $\frac{ 3}{ 2}$

\(-\frac{ 7}{ 12}\)	\(0\)	≈\(0.006145\)	≈\(0.330261-0.128447I\)	≈\(0.330261+0.128447I\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 2}{ 3}\)
\(3\)	\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 4}{ 3}\)
\(4\)	\(0\)	\(2\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.35" from ...

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-100\)	\(66\)	\(21\)	\(9\)

7

New Number: 5.66 | AESZ: 274 | Superseeker: 49/5 6032/15 | Hash: 729d44a3b7b561b49603f26a25d26069

Degree: 5

$5^{2} \theta^4-5 x\left(757\theta^4+1298\theta^3+1049\theta^2+400\theta+60\right)+2^{2} 3^{2} x^{2}\left(5456\theta^4+17498\theta^3+22121\theta^2+11940\theta+2340\right)-2^{2} 3^{4} x^{3}\left(15128\theta^4+68040\theta^3+112171\theta^2+73845\theta+16380\right)+2^{4} 3^{8} x^{4}(2\theta+1)(216\theta^3+864\theta^2+1015\theta+356)-2^{6} 3^{10} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 12, 324, 12000, 548100, ...
--> OEIS
Normalized instanton numbers (n₀=1): 49/5, -68/5, 6032/15, 36276/5, 350082/5, ... ; Common denominator:...

Discriminant

$-(81z-1)(1296z^2-56z+1)(-5+36z)^2$

Local exponents

$0$ $\frac{ 1}{ 81}$ $\frac{ 7}{ 324}-\frac{ 1}{ 81}\sqrt{ 2}I$ $\frac{ 7}{ 324}+\frac{ 1}{ 81}\sqrt{ 2}I$ $\frac{ 5}{ 36}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$0$ $1$ $1$ $1$ $1$ $\frac{ 2}{ 3}$
$0$ $1$ $1$ $1$ $3$ $\frac{ 4}{ 3}$
$0$ $2$ $2$ $2$ $4$ $\frac{ 3}{ 2}$

\(0\)	\(\frac{ 1}{ 81}\)	\(\frac{ 7}{ 324}-\frac{ 1}{ 81}\sqrt{ 2}I\)	\(\frac{ 7}{ 324}+\frac{ 1}{ 81}\sqrt{ 2}I\)	\(\frac{ 5}{ 36}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(\frac{ 2}{ 3}\)
\(0\)	\(1\)	\(1\)	\(1\)	\(3\)	\(\frac{ 4}{ 3}\)
\(0\)	\(2\)	\(2\)	\(2\)	\(4\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.66" from ...

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

8

New Number: 5.96 | AESZ: 339 | Superseeker: 12 28 | Hash: 41593acc689cf76c174442db98218947

Degree: 5

$\theta^4-2^{2} x\left(10\theta^4+50\theta^3+39\theta^2+14\theta+2\right)+2^{4} x^{2}\left(177\theta^4+1158\theta^3+2007\theta^2+1158\theta+230\right)+2^{8} x^{3}\left(539\theta^4+1344\theta^3-300\theta^2-1068\theta-340\right)+2^{10} 5 x^{4}(2\theta+1)(4\theta^3-642\theta^2-1002\theta-385)-2^{13} 3 5^{2} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 8, 0, -6400, -249200, ...
--> OEIS
Normalized instanton numbers (n₀=1): 12, -339/2, 28, 27639/2, 634692, ... ; Common denominator:...

Discriminant

$-(55296z^3-5632z^2+80z-1)(1+20z)^2$

Local exponents

$-\frac{ 1}{ 20}$ $0$ ≈$0.007072-0.012497I$ ≈$0.007072+0.012497I$ ≈$0.087707$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $1$ $1$ $\frac{ 2}{ 3}$
$3$ $0$ $1$ $1$ $1$ $\frac{ 4}{ 3}$
$4$ $0$ $2$ $2$ $2$ $\frac{ 3}{ 2}$

\(-\frac{ 1}{ 20}\)	\(0\)	≈\(0.007072-0.012497I\)	≈\(0.007072+0.012497I\)	≈\(0.087707\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 2}{ 3}\)
\(3\)	\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 4}{ 3}\)
\(4\)	\(0\)	\(2\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.96" from ...

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

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-296\)	\(176\)	\(128\)	\(36\)

9

New Number: 5.97 | AESZ: 340 | Superseeker: 484/3 819404/3 | Hash: 2775f87d96d6e9710faad170157dd033

Degree: 5

$3^{2} \theta^4-2^{2} 3 x\left(124\theta^4+1064\theta^3+769\theta^2+237\theta+30\right)-2^{7} x^{2}\left(8092\theta^4+5848\theta^3-22175\theta^2-13869\theta-2751\right)-2^{12} x^{3}\left(5412\theta^4-92376\theta^3-67609\theta^2-15615\theta-96\right)+2^{17} 17 x^{4}(2\theta+1)(2242\theta^3+1419\theta^2-1047\theta-733)-2^{23} 3 17^{2} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 40, 4968, 976000, 240389800, ...
--> OEIS
Normalized instanton numbers (n₀=1): 484/3, -2053, 819404/3, -14598094/3, 5541353504/3, ... ; Common denominator:...

Discriminant

$-(432z-1)(64z-1)(32z-1)(3+544z)^2$

Local exponents

$-\frac{ 3}{ 544}$ $0$ $\frac{ 1}{ 432}$ $\frac{ 1}{ 64}$ $\frac{ 1}{ 32}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $1$ $1$ $\frac{ 2}{ 3}$
$3$ $0$ $1$ $1$ $1$ $\frac{ 4}{ 3}$
$4$ $0$ $2$ $2$ $2$ $\frac{ 3}{ 2}$

\(-\frac{ 3}{ 544}\)	\(0\)	\(\frac{ 1}{ 432}\)	\(\frac{ 1}{ 64}\)	\(\frac{ 1}{ 32}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 2}{ 3}\)
\(3\)	\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 4}{ 3}\)
\(4\)	\(0\)	\(2\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.97" from ...

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

10

New Number: 5.98 | AESZ: 341 | Superseeker: 87/13 21589/13 | Hash: eed12a307d671fcf681b9d108c5e4c9e

Degree: 5

$13^{2} \theta^4-13 x\left(1217\theta^4+1474\theta^3+1127\theta^2+390\theta+52\right)-2^{4} x^{2}\left(5134\theta^4+83956\theta^3+142024\theta^2+83616\theta+16575\right)+2^{6} x^{3}\left(142492\theta^4+565032\theta^3+604615\theta^2+269841\theta+44070\right)-2^{11} 5 x^{4}(2\theta+1)(4324\theta^3+10698\theta^2+9903\theta+3110)+2^{16} 3 5^{2} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, 4, 180, 7600, 433300, ...
--> OEIS
Normalized instanton numbers (n₀=1): 87/13, 1532/13, 21589/13, 589110/13, 17749920/13, ... ; Common denominator:...

Discriminant

$(27z+1)(256z^2-96z+1)(-13+160z)^2$

Local exponents

$-\frac{ 1}{ 27}$ $0$ $\frac{ 3}{ 16}-\frac{ 1}{ 8}\sqrt{ 2}$ $\frac{ 13}{ 160}$ $\frac{ 3}{ 16}+\frac{ 1}{ 8}\sqrt{ 2}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $0$ $1$ $1$ $1$ $\frac{ 2}{ 3}$
$1$ $0$ $1$ $3$ $1$ $\frac{ 4}{ 3}$
$2$ $0$ $2$ $4$ $2$ $\frac{ 3}{ 2}$

\(-\frac{ 1}{ 27}\)	\(0\)	\(\frac{ 3}{ 16}-\frac{ 1}{ 8}\sqrt{ 2}\)	\(\frac{ 13}{ 160}\)	\(\frac{ 3}{ 16}+\frac{ 1}{ 8}\sqrt{ 2}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(\frac{ 2}{ 3}\)
\(1\)	\(0\)	\(1\)	\(3\)	\(1\)	\(\frac{ 4}{ 3}\)
\(2\)	\(0\)	\(2\)	\(4\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.98" from ...

\(\frac{ 20}{ 3}+464\lambda\)	\(-\frac{ 17}{ 6}-232\lambda\)	\(1.0456349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349+.414911827I\)	\(-.241563519-.227532292I\)
\(\frac{ 62}{ 3}\)	\(-\frac{ 28}{ 3}\)	\(\frac{ 961}{ 252}\)	\(-1.0456349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349-.414911827I\)
\(56\)	\(-28\)	\(\frac{ 34}{ 3}\)	\(-\frac{ 17}{ 6}-232\lambda\)
\(112\)	\(-56\)	\(\frac{ 62}{ 3}\)	\(-\frac{ 14}{ 3}-464\lambda\)

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

\(1+116\lambda\)	\(0\)	\(.63575199e-1I\)	\(\frac{ 79}{ 7000}\)
\(\frac{ 19}{ 6}\)	\(1\)	\(\frac{ 361}{ 1008}\)	\(-.63575199e-1I\)
\(0\)	\(0\)	\(1\)	\(0\)
\(28\)	\(0\)	\(\frac{ 19}{ 6}\)	\(1-116\lambda\)

\(-116\lambda\)	\(\frac{ 47}{ 6}\)	\(1\)	\(1\)
\(-\frac{ 19}{ 6}\)	\(-14\)	\(-1\)	\(0\)
\(0\)	\(28\)	\(0\)	\(0\)
\(-28\)	\(0\)	\(0\)	\(0\)

Calabi-Yau differential operator database v.3

Summary

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:

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:

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