LMFDB - One refined passport of genus 11 with automorphism group $\SD

Family Information

Genus:	$11$
Quotient genus:	$0$
Group name:	$\SD_{16}$
Group identifier:	$[16,8]$
Signature:	$[ 0; 2, 2, 4, 4, 4 ]$

Conjugacy classes for this refined passport:

$3, 3, 4, 5, 5$

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

Other Data

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

Generating vector(s)

Displaying 16 of 16 generating vectors for this refined passport.

11.16-8.0.2-2-4-4-4.1.1

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

11.16-8.0.2-2-4-4-4.1.2

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

11.16-8.0.2-2-4-4-4.1.3

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

11.16-8.0.2-2-4-4-4.1.4

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

11.16-8.0.2-2-4-4-4.1.5

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

11.16-8.0.2-2-4-4-4.1.6

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

11.16-8.0.2-2-4-4-4.1.7

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

11.16-8.0.2-2-4-4-4.1.8

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

11.16-8.0.2-2-4-4-4.1.9

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

11.16-8.0.2-2-4-4-4.1.10

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

11.16-8.0.2-2-4-4-4.1.11

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

11.16-8.0.2-2-4-4-4.1.12

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

11.16-8.0.2-2-4-4-4.1.13

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

11.16-8.0.2-2-4-4-4.1.14

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

11.16-8.0.2-2-4-4-4.1.15

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

11.16-8.0.2-2-4-4-4.1.16

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

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 $\F_{q}$
Belyi maps

Label	11.16-8.0.2-2-4-4-4.1
Genus	\(11\)
Quotient genus	\(0\)
Group	\(\SD_{16}\)
Signature	\([ 0; 2, 2, 4, 4, 4 ]\)
Generating Vectors	\(16\)

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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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