One refined passport of genus 9 with automorphism group $C_2^3.D_8$

• Label: 9.128-75.0.2-4-8.2
• Genus: \(9\)
• Quotient genus: \(0\)
• Group: \(C_2^3.D_8\)
• Signature: \([ 0; 2, 4, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$9$
Quotient genus:	$0$
Group name:	$C_2^3.D_8$
Group identifier:	$[128,75]$
Signature:	$[ 0; 2, 4, 8 ]$

Conjugacy classes for this refined passport:

$9, 16, 23$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{2}\times E^{4}$
Corresponding character(s):	$7, 11, 16, 19$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

9.128-75.0.2-4-8.2.1

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