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

Family Information

Genus:	$14$
Quotient genus:	$0$
Group name:	$D_8$
Group identifier:	$[16,7]$
Signature:	$[ 0; 2, 2, 2, 2, 4, 8 ]$

Conjugacy classes for this refined passport:

$3, 3, 3, 4, 5, 7$

Jacobian variety group algebra decomposition:	$E\times E\times A_{2}^{2}\times A_{4}^{2}$
Corresponding character(s):	$2, 4, 5, 6$

Other Data

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

Generating vector(s)

Displaying 20 of 32 generating vectors for this refined passport.

14.16-7.0.2-2-2-2-4-8.4.1

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14)
	(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.2

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.3

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.4

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13)
	(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.5

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
	(1,14,4,15,2,13,3,16) (5,11,8,9,6,12,7,10)

14.16-7.0.2-2-2-2-4-8.4.6

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13)
	(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
	(1,14,4,15,2,13,3,16) (5,11,8,9,6,12,7,10)

14.16-7.0.2-2-2-2-4-8.4.7

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,12) (2,11) (3,10) (4,9) (5,13) (6,14) (7,16) (8,15)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.8

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,11) (2,12) (3,9) (4,10) (5,14) (6,13) (7,15) (8,16)
	(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.9

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.10

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13)
	(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.11

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14)
	(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.12

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.13

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14)
	(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
	(1,14,4,15,2,13,3,16) (5,11,8,9,6,12,7,10)

14.16-7.0.2-2-2-2-4-8.4.14

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
	(1,14,4,15,2,13,3,16) (5,11,8,9,6,12,7,10)

14.16-7.0.2-2-2-2-4-8.4.15

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,12) (2,11) (3,10) (4,9) (5,13) (6,14) (7,16) (8,15)
	(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.16

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,11) (2,12) (3,9) (4,10) (5,14) (6,13) (7,15) (8,16)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.17

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14)
	(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
	(1,14,4,15,2,13,3,16) (5,11,8,9,6,12,7,10)

14.16-7.0.2-2-2-2-4-8.4.18

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
	(1,14,4,15,2,13,3,16) (5,11,8,9,6,12,7,10)

14.16-7.0.2-2-2-2-4-8.4.19

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,12) (2,11) (3,10) (4,9) (5,13) (6,14) (7,16) (8,15)
	(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

14.16-7.0.2-2-2-2-4-8.4.20

	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
	(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
	(1,11) (2,12) (3,9) (4,10) (5,14) (6,13) (7,15) (8,16)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
	(1,16,3,13,2,15,4,14) (5,10,7,12,6,9,8,11)

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	14.16-7.0.2-2-2-2-4-8.4
Genus	\(14\)
Quotient genus	\(0\)
Group	\(D_8\)
Signature	\([ 0; 2, 2, 2, 2, 4, 8 ]\)
Generating Vectors	\(32\)

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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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