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

• Label: 13.128-71.0.2-4-16.4
• 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:

$5, 10, 19$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{2}\times E^{8}$
Corresponding character(s):	$5, 11, 16, 20$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.128-71.0.2-4-16.4.1

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