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

• Label: 9.128-75.0.2-4-8.1
• 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:

$9, 16, 21$

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.

9.128-75.0.2-4-8.1.1

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