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

• Label: 13.128-71.0.2-4-16.3
• 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:

$5, 10, 17$

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.

13.128-71.0.2-4-16.3.1

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