LMFDB - One refined passport of genus 14 with automorphism group $D

Family Information

Genus:	$14$
Quotient genus:	$0$
Group name:	$D_5$
Group identifier:	$[10,1]$
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 5, 5 ]$

Conjugacy classes for this refined passport:

$2, 2, 2, 2, 2, 2, 4, 4$

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

Other Data

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

Generating vector(s)

Displaying 20 of 1250 generating vectors for this refined passport.

14.10-1.0.2-2-2-2-2-2-5-5.3.1

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.2

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,4,2,5,3) (6,9,7,10,8)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.3

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.4

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,4,2,5,3) (6,9,7,10,8)
	(1,3,5,2,4) (6,8,10,7,9)

14.10-1.0.2-2-2-2-2-2-5-5.3.5

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,7) (2,6) (3,10) (4,9) (5,8)
	(1,4,2,5,3) (6,9,7,10,8)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.6

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,9) (2,8) (3,7) (4,6) (5,10)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,3,5,2,4) (6,8,10,7,9)

14.10-1.0.2-2-2-2-2-2-5-5.3.7

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,3,5,2,4) (6,8,10,7,9)

14.10-1.0.2-2-2-2-2-2-5-5.3.8

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.9

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,4,2,5,3) (6,9,7,10,8)
	(1,3,5,2,4) (6,8,10,7,9)

14.10-1.0.2-2-2-2-2-2-5-5.3.10

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,9) (2,8) (3,7) (4,6) (5,10)
	(1,4,2,5,3) (6,9,7,10,8)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.11

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,4,2,5,3) (6,9,7,10,8)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.12

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,3,5,2,4) (6,8,10,7,9)

14.10-1.0.2-2-2-2-2-2-5-5.3.13

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,9) (2,8) (3,7) (4,6) (5,10)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.14

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,9) (2,8) (3,7) (4,6) (5,10)
	(1,4,2,5,3) (6,9,7,10,8)
	(1,3,5,2,4) (6,8,10,7,9)

14.10-1.0.2-2-2-2-2-2-5-5.3.15

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.16

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,4,2,5,3) (6,9,7,10,8)
	(1,3,5,2,4) (6,8,10,7,9)

14.10-1.0.2-2-2-2-2-2-5-5.3.17

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,4,2,5,3) (6,9,7,10,8)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.18

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,7) (2,6) (3,10) (4,9) (5,8)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,3,5,2,4) (6,8,10,7,9)

14.10-1.0.2-2-2-2-2-2-5-5.3.19

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,4,2,5,3) (6,9,7,10,8)

14.10-1.0.2-2-2-2-2-2-5-5.3.20

	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,6) (2,10) (3,9) (4,8) (5,7)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,10) (2,9) (3,8) (4,7) (5,6)
	(1,8) (2,7) (3,6) (4,10) (5,9)
	(1,4,2,5,3) (6,9,7,10,8)
	(1,3,5,2,4) (6,8,10,7,9)

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	14.10-1.0.2-2-2-2-2-2-5-5.3
Genus	\(14\)
Quotient genus	\(0\)
Group	\(D_5\)
Signature	\([ 0; 2, 2, 2, 2, 2, 2, 5, 5 ]\)
Generating Vectors	\(1250\)

Introduction

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Family Information

Other Data

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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