LMFDB - One refined passport of genus 9 with automorphism group $D

Family Information

Genus:	$9$
Quotient genus:	$0$
Group name:	$D_4$
Group identifier:	$[8,3]$
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$

Conjugacy classes for this refined passport:

$3, 3, 3, 3, 3, 3, 4, 4$

Jacobian variety group algebra decomposition:	$A_{2}\times A_{3}\times A_{2}^{2}$
Corresponding character(s):	$2, 4, 5$

Other Data

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

Generating vector(s)

Displaying 20 of 32 generating vectors for this refined passport.

9.8-3.0.2-2-2-2-2-2-2-2.4.1

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,5) (2,6) (3,8) (4,7)
	(1,5) (2,6) (3,8) (4,7)

9.8-3.0.2-2-2-2-2-2-2-2.4.2

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,5) (2,6) (3,8) (4,7)
	(1,6) (2,5) (3,7) (4,8)

9.8-3.0.2-2-2-2-2-2-2-2.4.3

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,5) (2,6) (3,8) (4,7)
	(1,6) (2,5) (3,7) (4,8)

9.8-3.0.2-2-2-2-2-2-2-2.4.4

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,5) (2,6) (3,8) (4,7)
	(1,5) (2,6) (3,8) (4,7)

9.8-3.0.2-2-2-2-2-2-2-2.4.5

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,5) (2,6) (3,8) (4,7)
	(1,6) (2,5) (3,7) (4,8)

9.8-3.0.2-2-2-2-2-2-2-2.4.6

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,5) (2,6) (3,8) (4,7)
	(1,5) (2,6) (3,8) (4,7)

9.8-3.0.2-2-2-2-2-2-2-2.4.7

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,5) (2,6) (3,8) (4,7)
	(1,5) (2,6) (3,8) (4,7)

9.8-3.0.2-2-2-2-2-2-2-2.4.8

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,5) (2,6) (3,8) (4,7)
	(1,6) (2,5) (3,7) (4,8)

9.8-3.0.2-2-2-2-2-2-2-2.4.9

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,5) (2,6) (3,8) (4,7)
	(1,6) (2,5) (3,7) (4,8)

9.8-3.0.2-2-2-2-2-2-2-2.4.10

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,5) (2,6) (3,8) (4,7)
	(1,5) (2,6) (3,8) (4,7)

9.8-3.0.2-2-2-2-2-2-2-2.4.11

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,5) (2,6) (3,8) (4,7)
	(1,5) (2,6) (3,8) (4,7)

9.8-3.0.2-2-2-2-2-2-2-2.4.12

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,5) (2,6) (3,8) (4,7)
	(1,6) (2,5) (3,7) (4,8)

9.8-3.0.2-2-2-2-2-2-2-2.4.13

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,5) (2,6) (3,8) (4,7)
	(1,5) (2,6) (3,8) (4,7)

9.8-3.0.2-2-2-2-2-2-2-2.4.14

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,5) (2,6) (3,8) (4,7)
	(1,6) (2,5) (3,7) (4,8)

9.8-3.0.2-2-2-2-2-2-2-2.4.15

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,5) (2,6) (3,8) (4,7)
	(1,6) (2,5) (3,7) (4,8)

9.8-3.0.2-2-2-2-2-2-2-2.4.16

	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,5) (2,6) (3,8) (4,7)
	(1,5) (2,6) (3,8) (4,7)

9.8-3.0.2-2-2-2-2-2-2-2.4.17

	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,5) (2,6) (3,8) (4,7)
	(1,6) (2,5) (3,7) (4,8)

9.8-3.0.2-2-2-2-2-2-2-2.4.18

	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,5) (2,6) (3,8) (4,7)
	(1,5) (2,6) (3,8) (4,7)

9.8-3.0.2-2-2-2-2-2-2-2.4.19

	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,5) (2,6) (3,8) (4,7)
	(1,5) (2,6) (3,8) (4,7)

9.8-3.0.2-2-2-2-2-2-2-2.4.20

	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,4) (2,3) (5,8) (6,7)
	(1,4) (2,3) (5,8) (6,7)
	(1,5) (2,6) (3,8) (4,7)
	(1,6) (2,5) (3,7) (4,8)

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	9.8-3.0.2-2-2-2-2-2-2-2.4
Genus	\(9\)
Quotient genus	\(0\)
Group	\(D_4\)
Signature	\([ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]\)
Generating Vectors	\(32\)

Introduction

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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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