Family of higher genus curves with automorphisms search results

Results (21 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
6.28-1.0.4-4-7.3	$6$	$0$	$C_7:C_4$	$28$	$0$	$[ 0; 4, 4, 7 ]$			$(1,15,8,22)\cdots(7,16,14,23),\ldots$
6.28-1.0.4-4-7.1	$6$	$0$	$C_7:C_4$	$28$	$0$	$[ 0; 4, 4, 7 ]$			$(1,15,8,22)\cdots(7,16,14,23),\ldots$
6.28-1.0.4-4-7.2	$6$	$0$	$C_7:C_4$	$28$	$0$	$[ 0; 4, 4, 7 ]$			$(1,15,8,22)\cdots(7,16,14,23),\ldots$
7.28-1.0.4-4-14.6	$7$	$0$	$C_7:C_4$	$28$	$0$	$[ 0; 4, 4, 14 ]$			$(1,22,8,15)\cdots(7,23,14,16),\ldots$
7.28-1.0.4-4-14.3	$7$	$0$	$C_7:C_4$	$28$	$0$	$[ 0; 4, 4, 14 ]$			$(1,15,8,22)\cdots(7,16,14,23),\ldots$
7.28-1.0.4-4-14.2	$7$	$0$	$C_7:C_4$	$28$	$0$	$[ 0; 4, 4, 14 ]$			$(1,15,8,22)\cdots(7,16,14,23),\ldots$
7.28-1.0.4-4-14.4	$7$	$0$	$C_7:C_4$	$28$	$0$	$[ 0; 4, 4, 14 ]$			$(1,22,8,15)\cdots(7,23,14,16),\ldots$
7.28-1.0.4-4-14.5	$7$	$0$	$C_7:C_4$	$28$	$0$	$[ 0; 4, 4, 14 ]$			$(1,22,8,15)\cdots(7,23,14,16),\ldots$
7.28-1.0.4-4-14.1	$7$	$0$	$C_7:C_4$	$28$	$0$	$[ 0; 4, 4, 14 ]$			$(1,15,8,22)\cdots(7,16,14,23),\ldots$
13.28-1.0.2-4-4-7.2	$13$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 2, 4, 4, 7 ]$	✓		$(1,8)\cdots(21,28),\ldots$
13.28-1.0.2-4-4-7.3	$13$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 2, 4, 4, 7 ]$	✓		$(1,8)\cdots(21,28),\ldots$
13.28-1.0.2-4-4-7.4	$13$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 2, 4, 4, 7 ]$	✓		$(1,8)\cdots(21,28),\ldots$
13.28-1.0.2-4-4-7.5	$13$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 2, 4, 4, 7 ]$	✓		$(1,8)\cdots(21,28),\ldots$
13.28-1.0.2-4-4-7.6	$13$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 2, 4, 4, 7 ]$	✓		$(1,8)\cdots(21,28),\ldots$
13.28-1.0.2-4-4-7.1	$13$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 2, 4, 4, 7 ]$	✓		$(1,8)\cdots(21,28),\ldots$
14.28-1.0.2-4-4-14.1	$14$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 2, 4, 4, 14 ]$	✓		$(1,8)\cdots(21,28),\ldots$
14.28-1.0.2-4-4-14.2	$14$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 2, 4, 4, 14 ]$	✓		$(1,8)\cdots(21,28),\ldots$
14.28-1.0.2-4-4-14.3	$14$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 2, 4, 4, 14 ]$	✓		$(1,8)\cdots(21,28),\ldots$
15.28-1.0.4-4-4-4.3	$15$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 4, 4, 4, 4 ]$			$(1,22,8,15)\cdots(7,23,14,16),\ldots$
15.28-1.0.4-4-4-4.2	$15$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 4, 4, 4, 4 ]$			$(1,15,8,22)\cdots(7,16,14,23),\ldots$
15.28-1.0.4-4-4-4.1	$15$	$0$	$C_7:C_4$	$28$	$1$	$[ 0; 4, 4, 4, 4 ]$			$(1,15,8,22)\cdots(7,16,14,23),\ldots$

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