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

• Label: 13.128-71.0.2-4-16.6
• 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:

$5, 11, 20$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{2}\times E^{8}$
Corresponding character(s):	$5, 12, 16, 20$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.128-71.0.2-4-16.6.1

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