One refined passport of genus 13 with automorphism group $C_2^3.D_8$

• Label: 13.128-71.0.2-4-16.2
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_2^3.D_8\)
• Signature: \([ 0; 2, 4, 16 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_2^3.D_8$
Group identifier:	$[128,71]$
Signature:	$[ 0; 2, 4, 16 ]$

Conjugacy classes for this refined passport:

$5, 9, 20$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{2}\times E^{8}$
Corresponding character(s):	$5, 11, 16, 20$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.128-71.0.2-4-16.2.1

	(1,33) (2,34) (3,36) (4,35) (5,38) (6,37) (7,39) (8,40) (9,48) (10,47) (11,46) (12,45) (13,44) (14,43) (15,42) (16,41) (17,51) (18,52) (19,49) (20,50) (21,56) (22,55) (23,54) (24,53) (25,61) (26,62) (27,64) (28,63) (29,57) (30,58) (31,60) (32,59) (65,97) (66,98) (67,100) (68,99) (69,102) (70,101) (71,103) (72,104) (73,112) (74,111) (75,110) (76,109) (77,108) (78,107) (79,106) (80,105) (81,115) (82,116) (83,113) (84,114) (85,120) (86,119) (87,118) (88,117) (89,125) (90,126) (91,128) (92,127) (93,121) (94,122) (95,124) (96,123)
	(1,65,9,73) (2,66,10,74) (3,68,11,76) (4,67,12,75) (5,69,13,77) (6,70,14,78) (7,72,15,80) (8,71,16,79) (17,85,25,93) (18,86,26,94) (19,88,27,96) (20,87,28,95) (21,82,29,90) (22,81,30,89) (23,83,31,91) (24,84,32,92) (33,113,41,121) (34,114,42,122) (35,116,43,124) (36,115,44,123) (37,117,45,125) (38,118,46,126) (39,120,47,128) (40,119,48,127) (49,104,57,112) (50,103,58,111) (51,102,59,110) (52,101,60,109) (53,99,61,107) (54,100,62,108) (55,97,63,105) (56,98,64,106)
	(1,112,29,116,4,110,32,114,2,111,30,115,3,109,31,113) (5,108,26,119,8,106,27,117,6,107,25,120,7,105,28,118) (9,97,22,125,12,100,23,128,10,98,21,126,11,99,24,127) (13,102,17,121,16,103,20,124,14,101,18,122,15,104,19,123) (33,93,61,68,36,96,64,66,34,94,62,67,35,95,63,65) (37,89,58,71,40,92,59,69,38,90,57,72,39,91,60,70) (41,83,54,77,44,81,55,80,42,84,53,78,43,82,56,79) (45,88,49,73,48,86,52,76,46,87,50,74,47,85,51,75)