Family of higher genus curves with automorphisms search results

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
4.20-4.0.2-2-2-5.1	$4$	$0$	$D_{10}$	$20$	$1$	$[ 0; 2, 2, 2, 5 ]$	✓		$(1,6)(2,7)(3,8)(4,9)(5,10)(11,16)(12,17)(13,18)(14,19)(15,20),\ldots$
4.20-4.0.2-2-2-5.2	$4$	$0$	$D_{10}$	$20$	$1$	$[ 0; 2, 2, 2, 5 ]$	✓		$(1,6)(2,7)(3,8)(4,9)(5,10)(11,16)(12,17)(13,18)(14,19)(15,20),\ldots$

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