One refined passport of genus 5 with automorphism group $C_2^4:D_5$

• Label: 5.160-234.0.2-4-5.5
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(C_2^4:D_5\)
• Signature: \([ 0; 2, 4, 5 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$5$
Quotient genus:	$0$
Group name:	$C_2^4:D_5$
Group identifier:	$[160,234]$
Signature:	$[ 0; 2, 4, 5 ]$

Conjugacy classes for this refined passport:

$5, 8, 9$

Jacobian variety group algebra decomposition:	$E^{5}$
Corresponding character(s):	$5$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.160-234.0.2-4-5.5.1

	(1,81) (2,91) (3,94) (4,88) (5,85) (6,95) (7,90) (8,84) (9,93) (10,87) (11,82) (12,92) (13,89) (14,83) (15,86) (16,96) (17,145) (18,155) (19,158) (20,152) (21,149) (22,159) (23,154) (24,148) (25,157) (26,151) (27,146) (28,156) (29,153) (30,147) (31,150) (32,160) (33,129) (34,139) (35,142) (36,136) (37,133) (38,143) (39,138) (40,132) (41,141) (42,135) (43,130) (44,140) (45,137) (46,131) (47,134) (48,144) (49,113) (50,123) (51,126) (52,120) (53,117) (54,127) (55,122) (56,116) (57,125) (58,119) (59,114) (60,124) (61,121) (62,115) (63,118) (64,128) (65,97) (66,107) (67,110) (68,104) (69,101) (70,111) (71,106) (72,100) (73,109) (74,103) (75,98) (76,108) (77,105) (78,99) (79,102) (80,112)
	(1,152,6,147) (2,156,5,159) (3,145,8,150) (4,157,7,154) (9,160,14,155) (10,148,13,151) (11,153,16,158) (12,149,15,146) (17,136,22,131) (18,140,21,143) (19,129,24,134) (20,141,23,138) (25,144,30,139) (26,132,29,135) (27,137,32,142) (28,133,31,130) (33,120,38,115) (34,124,37,127) (35,113,40,118) (36,125,39,122) (41,128,46,123) (42,116,45,119) (43,121,48,126) (44,117,47,114) (49,104,54,99) (50,108,53,111) (51,97,56,102) (52,109,55,106) (57,112,62,107) (58,100,61,103) (59,105,64,110) (60,101,63,98) (65,88,70,83) (66,92,69,95) (67,81,72,86) (68,93,71,90) (73,96,78,91) (74,84,77,87) (75,89,80,94) (76,85,79,82)
	(1,30,48,61,72) (2,22,36,55,73) (3,31,37,60,75) (4,23,41,50,70) (5,28,43,51,79) (6,20,39,57,66) (7,25,34,54,68) (8,17,46,64,77) (9,18,38,52,71) (10,26,42,58,74) (11,19,47,53,76) (12,27,35,63,69) (13,24,33,62,80) (14,32,45,56,65) (15,21,44,59,67) (16,29,40,49,78) (81,110,128,141,152) (82,102,116,135,153) (83,111,117,140,155) (84,103,121,130,150) (85,108,123,131,159) (86,100,119,137,146) (87,105,114,134,148) (88,97,126,144,157) (89,98,118,132,151) (90,106,122,138,154) (91,99,127,133,156) (92,107,115,143,149) (93,104,113,142,160) (94,112,125,136,145) (95,101,124,139,147) (96,109,120,129,158)