LMFDB - One refined passport of genus 11 with automorphism group $D

Family Information

Genus:	$11$
Quotient genus:	$0$
Group name:	$D_{11}$
Group identifier:	$[22,1]$
Signature:	$[ 0; 2, 2, 2, 2, 11 ]$

Conjugacy classes for this refined passport:

$2, 2, 2, 2, 3$

Jacobian variety group algebra decomposition:	$E\times A_{5}^{2}$
Corresponding character(s):	$2, 3$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying 20 of 121 generating vectors for this refined passport.

11.22-1.0.2-2-2-2-11.1.1

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,22) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,15) (9,14) (10,13) (11,12)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

11.22-1.0.2-2-2-2-11.1.2

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,13) (2,12) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

11.22-1.0.2-2-2-2-11.1.3

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,15) (2,14) (3,13) (4,12) (5,22) (6,21) (7,20) (8,19) (9,18) (10,17) (11,16)
	(1,11,10,9,8,7,6,5,4,3,2) (12,22,21,20,19,18,17,16,15,14,13)

11.22-1.0.2-2-2-2-11.1.4

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,16) (2,15) (3,14) (4,13) (5,12) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17)
	(1,15) (2,14) (3,13) (4,12) (5,22) (6,21) (7,20) (8,19) (9,18) (10,17) (11,16)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

11.22-1.0.2-2-2-2-11.1.5

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,16) (2,15) (3,14) (4,13) (5,12) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17)
	(1,17) (2,16) (3,15) (4,14) (5,13) (6,12) (7,22) (8,21) (9,20) (10,19) (11,18)
	(1,11,10,9,8,7,6,5,4,3,2) (12,22,21,20,19,18,17,16,15,14,13)

11.22-1.0.2-2-2-2-11.1.6

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,18) (2,17) (3,16) (4,15) (5,14) (6,13) (7,12) (8,22) (9,21) (10,20) (11,19)
	(1,17) (2,16) (3,15) (4,14) (5,13) (6,12) (7,22) (8,21) (9,20) (10,19) (11,18)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

11.22-1.0.2-2-2-2-11.1.7

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,18) (2,17) (3,16) (4,15) (5,14) (6,13) (7,12) (8,22) (9,21) (10,20) (11,19)
	(1,19) (2,18) (3,17) (4,16) (5,15) (6,14) (7,13) (8,12) (9,22) (10,21) (11,20)
	(1,11,10,9,8,7,6,5,4,3,2) (12,22,21,20,19,18,17,16,15,14,13)

11.22-1.0.2-2-2-2-11.1.8

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,13) (9,12) (10,22) (11,21)
	(1,19) (2,18) (3,17) (4,16) (5,15) (6,14) (7,13) (8,12) (9,22) (10,21) (11,20)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

11.22-1.0.2-2-2-2-11.1.9

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,13) (9,12) (10,22) (11,21)
	(1,21) (2,20) (3,19) (4,18) (5,17) (6,16) (7,15) (8,14) (9,13) (10,12) (11,22)
	(1,11,10,9,8,7,6,5,4,3,2) (12,22,21,20,19,18,17,16,15,14,13)

11.22-1.0.2-2-2-2-11.1.10

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,22) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,15) (9,14) (10,13) (11,12)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,11,10,9,8,7,6,5,4,3,2) (12,22,21,20,19,18,17,16,15,14,13)

11.22-1.0.2-2-2-2-11.1.11

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,22) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,15) (9,14) (10,13) (11,12)
	(1,21) (2,20) (3,19) (4,18) (5,17) (6,16) (7,15) (8,14) (9,13) (10,12) (11,22)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

11.22-1.0.2-2-2-2-11.1.12

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,13) (9,12) (10,22) (11,21)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

11.22-1.0.2-2-2-2-11.1.13

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,22) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,15) (9,14) (10,13) (11,12)
	(1,11,10,9,8,7,6,5,4,3,2) (12,22,21,20,19,18,17,16,15,14,13)

11.22-1.0.2-2-2-2-11.1.14

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,22) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,15) (9,14) (10,13) (11,12)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

11.22-1.0.2-2-2-2-11.1.15

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,13) (2,12) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14)
	(1,11,10,9,8,7,6,5,4,3,2) (12,22,21,20,19,18,17,16,15,14,13)

11.22-1.0.2-2-2-2-11.1.16

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,16) (2,15) (3,14) (4,13) (5,12) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17)
	(1,13) (2,12) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

11.22-1.0.2-2-2-2-11.1.17

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,16) (2,15) (3,14) (4,13) (5,12) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17)
	(1,15) (2,14) (3,13) (4,12) (5,22) (6,21) (7,20) (8,19) (9,18) (10,17) (11,16)
	(1,11,10,9,8,7,6,5,4,3,2) (12,22,21,20,19,18,17,16,15,14,13)

11.22-1.0.2-2-2-2-11.1.18

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,18) (2,17) (3,16) (4,15) (5,14) (6,13) (7,12) (8,22) (9,21) (10,20) (11,19)
	(1,15) (2,14) (3,13) (4,12) (5,22) (6,21) (7,20) (8,19) (9,18) (10,17) (11,16)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

11.22-1.0.2-2-2-2-11.1.19

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,18) (2,17) (3,16) (4,15) (5,14) (6,13) (7,12) (8,22) (9,21) (10,20) (11,19)
	(1,17) (2,16) (3,15) (4,14) (5,13) (6,12) (7,22) (8,21) (9,20) (10,19) (11,18)
	(1,11,10,9,8,7,6,5,4,3,2) (12,22,21,20,19,18,17,16,15,14,13)

11.22-1.0.2-2-2-2-11.1.20

	(1,12) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,13)
	(1,14) (2,13) (3,12) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15)
	(1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,13) (9,12) (10,22) (11,21)
	(1,17) (2,16) (3,15) (4,14) (5,13) (6,12) (7,22) (8,21) (9,20) (10,19) (11,18)
	(1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22)

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Label	11.22-1.0.2-2-2-2-11.1
Genus	\(11\)
Quotient genus	\(0\)
Group	\(D_{11}\)
Signature	\([ 0; 2, 2, 2, 2, 11 ]\)
Generating Vectors	\(121\)

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Generating vector(s)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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