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

Family Information

Genus:	$14$
Quotient genus:	$0$
Group name:	$S_3$
Group identifier:	$[6,1]$
Signature:	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3, 3, 3 ]$

Conjugacy classes for this refined passport:

$2, 2, 3, 3, 3, 3, 3, 3, 3, 3$

Jacobian variety group algebra decomposition:	$A_{7}^{2}$
Corresponding character(s):	$3$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	yes
Trigonal automorphism:	(1,2,3) (4,5,6)

Generating vector(s)

Displaying 20 of 128 generating vectors for this refined passport.

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.1

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.2

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.3

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.4

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.5

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.6

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.7

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.8

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.9

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.10

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.11

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.12

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.13

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.14

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.15

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.16

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.17

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.18

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.19

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

14.6-1.0.2-2-3-3-3-3-3-3-3-3.1.20

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

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	14.6-1.0.2-2-3-3-3-3-3-3-3-3.1
Genus	\(14\)
Quotient genus	\(0\)
Group	\(S_3\)
Signature	\([ 0; 2, 2, 3, 3, 3, 3, 3, 3, 3, 3 ]\)
Generating Vectors	\(128\)

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Family Information

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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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