LMFDB - One Refined Passport of Genus 15 with Automorphism Group $D

Family Information

Genus:	15
Quotient Genus:	0
Group name:	$D_7$
Group identifier:	[14,1]
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$

Conjugacy classes for this refined passport:

2, 2, 2, 2, 2, 2, 2, 2

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

Other Data

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

Generating Vector(s)

Displaying 20 of 58824 generating vectors for this refined passport.

15.14-1.0.2-2-2-2-2-2-2-2.1.1

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

15.14-1.0.2-2-2-2-2-2-2-2.1.2

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

15.14-1.0.2-2-2-2-2-2-2-2.1.3

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

15.14-1.0.2-2-2-2-2-2-2-2.1.4

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

15.14-1.0.2-2-2-2-2-2-2-2.1.5

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

15.14-1.0.2-2-2-2-2-2-2-2.1.6

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

15.14-1.0.2-2-2-2-2-2-2-2.1.7

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

15.14-1.0.2-2-2-2-2-2-2-2.1.8

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

15.14-1.0.2-2-2-2-2-2-2-2.1.9

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

15.14-1.0.2-2-2-2-2-2-2-2.1.10

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

15.14-1.0.2-2-2-2-2-2-2-2.1.11

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

15.14-1.0.2-2-2-2-2-2-2-2.1.12

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

15.14-1.0.2-2-2-2-2-2-2-2.1.13

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

15.14-1.0.2-2-2-2-2-2-2-2.1.14

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

15.14-1.0.2-2-2-2-2-2-2-2.1.15

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

15.14-1.0.2-2-2-2-2-2-2-2.1.16

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

15.14-1.0.2-2-2-2-2-2-2-2.1.17

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

15.14-1.0.2-2-2-2-2-2-2-2.1.18

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

15.14-1.0.2-2-2-2-2-2-2-2.1.19

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

15.14-1.0.2-2-2-2-2-2-2-2.1.20

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

Introduction	Features
Universe	News

Genus	\(15\)
Quotient Genus	\(0\)
Group	\(D_7\)
Signature	\([ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]\)
Generating Vectors	\(58824\)

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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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