Family of higher genus curves with automorphisms search results

Note: Search results may be incomplete due to uncomputed quantities: cyclic_trigonal (6913 objects)

Results (1-50 of 54 matches)

  Download displayed columns for results to

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
9.3-1.0.3-3-3-3-3-3-3-3-3-3-3.1	$9$	$0$	$C_3$	$3$	$8$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		✓	$(1,2,3),\ldots$
9.3-1.0.3-3-3-3-3-3-3-3-3-3-3.2	$9$	$0$	$C_3$	$3$	$8$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		✓	$(1,2,3),\ldots$
9.3-1.0.3-3-3-3-3-3-3-3-3-3-3.3	$9$	$0$	$C_3$	$3$	$8$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		✓	$(1,2,3),\ldots$
9.3-1.0.3-3-3-3-3-3-3-3-3-3-3.4	$9$	$0$	$C_3$	$3$	$8$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		✓	$(1,2,3),\ldots$
9.6-2.0.2-3-3-3-3-3-6.1	$9$	$0$	$C_6$	$6$	$4$	$[ 0; 2, 3, 3, 3, 3, 3, 6 ]$		✓	$(1,4)(2,5)(3,6),\ldots$
9.6-2.0.2-3-3-3-3-3-6.2	$9$	$0$	$C_6$	$6$	$4$	$[ 0; 2, 3, 3, 3, 3, 3, 6 ]$		✓	$(1,4)(2,5)(3,6),\ldots$
9.6-2.0.2-3-3-3-3-3-6.3	$9$	$0$	$C_6$	$6$	$4$	$[ 0; 2, 3, 3, 3, 3, 3, 6 ]$		✓	$(1,4)(2,5)(3,6),\ldots$
9.6-2.0.2-3-3-3-3-3-6.4	$9$	$0$	$C_6$	$6$	$4$	$[ 0; 2, 3, 3, 3, 3, 3, 6 ]$		✓	$(1,4)(2,5)(3,6),\ldots$
9.9-1.0.3-3-3-9-9.1	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
9.9-1.0.3-3-3-9-9.2	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
9.9-1.0.3-3-3-9-9.3	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
9.9-1.0.3-3-3-9-9.4	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
9.9-1.0.3-3-3-9-9.5	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
9.9-1.0.3-3-3-9-9.6	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
9.9-1.0.3-3-3-9-9.7	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
9.9-1.0.3-3-3-9-9.8	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
9.9-1.0.3-3-3-9-9.9	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
9.9-1.0.3-3-3-9-9.10	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
9.9-1.0.3-3-3-9-9.11	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
9.9-1.0.3-3-3-9-9.12	$9$	$0$	$C_9$	$9$	$2$	$[ 0; 3, 3, 3, 9, 9 ]$		✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
9.15-1.0.3-3-5-15.8	$9$	$0$	$C_{15}$	$15$	$1$	$[ 0; 3, 3, 5, 15 ]$		✓	$(1,11,6)(2,12,7)(3,13,8)(4,14,9)(5,15,10),\ldots$
9.15-1.0.3-3-5-15.1	$9$	$0$	$C_{15}$	$15$	$1$	$[ 0; 3, 3, 5, 15 ]$		✓	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
9.15-1.0.3-3-5-15.2	$9$	$0$	$C_{15}$	$15$	$1$	$[ 0; 3, 3, 5, 15 ]$		✓	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
9.15-1.0.3-3-5-15.3	$9$	$0$	$C_{15}$	$15$	$1$	$[ 0; 3, 3, 5, 15 ]$		✓	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
9.15-1.0.3-3-5-15.4	$9$	$0$	$C_{15}$	$15$	$1$	$[ 0; 3, 3, 5, 15 ]$		✓	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
9.15-1.0.3-3-5-15.5	$9$	$0$	$C_{15}$	$15$	$1$	$[ 0; 3, 3, 5, 15 ]$		✓	$(1,11,6)(2,12,7)(3,13,8)(4,14,9)(5,15,10),\ldots$
9.15-1.0.3-3-5-15.6	$9$	$0$	$C_{15}$	$15$	$1$	$[ 0; 3, 3, 5, 15 ]$		✓	$(1,11,6)(2,12,7)(3,13,8)(4,14,9)(5,15,10),\ldots$
9.15-1.0.3-3-5-15.7	$9$	$0$	$C_{15}$	$15$	$1$	$[ 0; 3, 3, 5, 15 ]$		✓	$(1,11,6)(2,12,7)(3,13,8)(4,14,9)(5,15,10),\ldots$
9.27-1.0.3-27-27.9	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,2,3)\cdots(25,26,27),\ldots$
9.27-1.0.3-27-27.10	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,3,2)\cdots(25,27,26),\ldots$
9.27-1.0.3-27-27.11	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,3,2)\cdots(25,27,26),\ldots$
9.27-1.0.3-27-27.12	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,3,2)\cdots(25,27,26),\ldots$
9.27-1.0.3-27-27.13	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,3,2)\cdots(25,27,26),\ldots$
9.27-1.0.3-27-27.14	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,3,2)\cdots(25,27,26),\ldots$
9.27-1.0.3-27-27.15	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,3,2)\cdots(25,27,26),\ldots$
9.27-1.0.3-27-27.16	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,3,2)\cdots(25,27,26),\ldots$
9.27-1.0.3-27-27.17	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,3,2)\cdots(25,27,26),\ldots$
9.27-1.0.3-27-27.18	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,3,2)\cdots(25,27,26),\ldots$
9.27-1.0.3-27-27.1	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,2,3)\cdots(25,26,27),\ldots$
9.27-1.0.3-27-27.2	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,2,3)\cdots(25,26,27),\ldots$
9.27-1.0.3-27-27.3	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,2,3)\cdots(25,26,27),\ldots$
9.27-1.0.3-27-27.4	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,2,3)\cdots(25,26,27),\ldots$
9.27-1.0.3-27-27.5	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,2,3)\cdots(25,26,27),\ldots$
9.27-1.0.3-27-27.6	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,2,3)\cdots(25,26,27),\ldots$
9.27-1.0.3-27-27.7	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,2,3)\cdots(25,26,27),\ldots$
9.27-1.0.3-27-27.8	$9$	$0$	$C_{27}$	$27$	$0$	$[ 0; 3, 27, 27 ]$		✓	$(1,2,3)\cdots(25,26,27),\ldots$
9.30-4.0.3-10-30.1	$9$	$0$	$C_{30}$	$30$	$0$	$[ 0; 3, 10, 30 ]$		✓	$(1,6,11)\cdots(20,25,30),\ldots$
9.30-4.0.3-10-30.2	$9$	$0$	$C_{30}$	$30$	$0$	$[ 0; 3, 10, 30 ]$		✓	$(1,6,11)\cdots(20,25,30),\ldots$
9.30-4.0.3-10-30.3	$9$	$0$	$C_{30}$	$30$	$0$	$[ 0; 3, 10, 30 ]$		✓	$(1,6,11)\cdots(20,25,30),\ldots$
9.30-4.0.3-10-30.4	$9$	$0$	$C_{30}$	$30$	$0$	$[ 0; 3, 10, 30 ]$		✓	$(1,6,11)\cdots(20,25,30),\ldots$

  Download displayed columns for results to