LMFDB - One refined passport of genus 13 with automorphism group $D

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$D_{13}$
Group identifier:	$[26,1]$
Signature:	$[ 0; 2, 2, 2, 2, 13 ]$

Conjugacy classes for this refined passport:

$2, 2, 2, 2, 8$

Jacobian variety group algebra decomposition:	$E\times A_{6}^{2}$
Corresponding character(s):	$2, 3$

Other Data

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

Generating vector(s)

Displaying 20 of 169 generating vectors for this refined passport.

13.26-1.0.2-2-2-2-13.6.1

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,26) (9,25) (10,24) (11,23) (12,22) (13,21)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

13.26-1.0.2-2-2-2-13.6.2

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,22) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,15) (9,14) (10,26) (11,25) (12,24) (13,23)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

13.26-1.0.2-2-2-2-13.6.3

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,23) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,26) (12,25) (13,24)
	(1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21)

13.26-1.0.2-2-2-2-13.6.4

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,18) (2,17) (3,16) (4,15) (5,14) (6,26) (7,25) (8,24) (9,23) (10,22) (11,21) (12,20) (13,19)
	(1,24) (2,23) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14) (12,26) (13,25)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

13.26-1.0.2-2-2-2-13.6.5

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,18) (2,17) (3,16) (4,15) (5,14) (6,26) (7,25) (8,24) (9,23) (10,22) (11,21) (12,20) (13,19)
	(1,25) (2,24) (3,23) (4,22) (5,21) (6,20) (7,19) (8,18) (9,17) (10,16) (11,15) (12,14) (13,26)
	(1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21)

13.26-1.0.2-2-2-2-13.6.6

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,26) (9,25) (10,24) (11,23) (12,22) (13,21)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21)

13.26-1.0.2-2-2-2-13.6.7

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,26) (9,25) (10,24) (11,23) (12,22) (13,21)
	(1,26) (2,25) (3,24) (4,23) (5,22) (6,21) (7,20) (8,19) (9,18) (10,17) (11,16) (12,15) (13,14)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

13.26-1.0.2-2-2-2-13.6.8

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,22) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,15) (9,14) (10,26) (11,25) (12,24) (13,23)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21)

13.26-1.0.2-2-2-2-13.6.9

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,22) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,15) (9,14) (10,26) (11,25) (12,24) (13,23)
	(1,15) (2,14) (3,26) (4,25) (5,24) (6,23) (7,22) (8,21) (9,20) (10,19) (11,18) (12,17) (13,16)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

13.26-1.0.2-2-2-2-13.6.10

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,24) (2,23) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14) (12,26) (13,25)
	(1,18) (2,17) (3,16) (4,15) (5,14) (6,26) (7,25) (8,24) (9,23) (10,22) (11,21) (12,20) (13,19)
	(1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21)

13.26-1.0.2-2-2-2-13.6.11

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,24) (2,23) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14) (12,26) (13,25)
	(1,17) (2,16) (3,15) (4,14) (5,26) (6,25) (7,24) (8,23) (9,22) (10,21) (11,20) (12,19) (13,18)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

13.26-1.0.2-2-2-2-13.6.12

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,26) (2,25) (3,24) (4,23) (5,22) (6,21) (7,20) (8,19) (9,18) (10,17) (11,16) (12,15) (13,14)
	(1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,26) (9,25) (10,24) (11,23) (12,22) (13,21)
	(1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21)

13.26-1.0.2-2-2-2-13.6.13

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,26) (2,25) (3,24) (4,23) (5,22) (6,21) (7,20) (8,19) (9,18) (10,17) (11,16) (12,15) (13,14)
	(1,19) (2,18) (3,17) (4,16) (5,15) (6,14) (7,26) (8,25) (9,24) (10,23) (11,22) (12,21) (13,20)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

13.26-1.0.2-2-2-2-13.6.14

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,18) (2,17) (3,16) (4,15) (5,14) (6,26) (7,25) (8,24) (9,23) (10,22) (11,21) (12,20) (13,19)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

13.26-1.0.2-2-2-2-13.6.15

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,19) (2,18) (3,17) (4,16) (5,15) (6,14) (7,26) (8,25) (9,24) (10,23) (11,22) (12,21) (13,20)
	(1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21)

13.26-1.0.2-2-2-2-13.6.16

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,26) (9,25) (10,24) (11,23) (12,22) (13,21)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

13.26-1.0.2-2-2-2-13.6.17

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,21) (2,20) (3,19) (4,18) (5,17) (6,16) (7,15) (8,14) (9,26) (10,25) (11,24) (12,23) (13,22)
	(1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21)

13.26-1.0.2-2-2-2-13.6.18

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,18) (2,17) (3,16) (4,15) (5,14) (6,26) (7,25) (8,24) (9,23) (10,22) (11,21) (12,20) (13,19)
	(1,22) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,15) (9,14) (10,26) (11,25) (12,24) (13,23)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

13.26-1.0.2-2-2-2-13.6.19

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,18) (2,17) (3,16) (4,15) (5,14) (6,26) (7,25) (8,24) (9,23) (10,22) (11,21) (12,20) (13,19)
	(1,23) (2,22) (3,21) (4,20) (5,19) (6,18) (7,17) (8,16) (9,15) (10,14) (11,26) (12,25) (13,24)
	(1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21)

13.26-1.0.2-2-2-2-13.6.20

	(1,14) (2,26) (3,25) (4,24) (5,23) (6,22) (7,21) (8,20) (9,19) (10,18) (11,17) (12,16) (13,15)
	(1,16) (2,15) (3,14) (4,26) (5,25) (6,24) (7,23) (8,22) (9,21) (10,20) (11,19) (12,18) (13,17)
	(1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,26) (9,25) (10,24) (11,23) (12,22) (13,21)
	(1,24) (2,23) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14) (12,26) (13,25)
	(1,8,2,9,3,10,4,11,5,12,6,13,7) (14,21,15,22,16,23,17,24,18,25,19,26,20)

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	13.26-1.0.2-2-2-2-13.6
Genus	\(13\)
Quotient genus	\(0\)
Group	\(D_{13}\)
Signature	\([ 0; 2, 2, 2, 2, 13 ]\)
Generating Vectors	\(169\)

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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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