One refined passport of genus 3 with automorphism group $C_7$

• Label: 3.7-1.0.7-7-7.2
• Genus: \(3\)
• Quotient genus: \(0\)
• Group: \(C_7\)
• Signature: \([ 0; 7, 7, 7 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$3$
Quotient genus:	$0$
Group name:	$C_7$
Group identifier:	$[7,1]$
Signature:	$[ 0; 7, 7, 7 ]$

Conjugacy classes for this refined passport:

$2, 3, 5$

The full automorphism group for this family is $\GL(3,2)$ with signature $[ 0; 2, 3, 7 ]$.

Jacobian variety group algebra decomposition:

$A_{3}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

3.7-1.0.7-7-7.2.1

	(1,2,3,4,5,6,7)
	(1,3,5,7,2,4,6)
	(1,5,2,6,3,7,4)