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

• Label: 13.128-71.0.2-4-16.7
• 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:

$5, 12, 17$

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.

13.128-71.0.2-4-16.7.1

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