One refined passport of genus 13 with automorphism group $C_2^2.D_{16}$

• Label: 13.128-79.0.2-4-16.13
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_2^2.D_{16}\)
• Signature: \([ 0; 2, 4, 16 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_2^2.D_{16}$
Group identifier:	$[128,79]$
Signature:	$[ 0; 2, 4, 16 ]$

Conjugacy classes for this refined passport:

$7, 14, 22$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{4}$
Corresponding character(s):	$6, 12, 17, 21, 28$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.128-79.0.2-4-16.13.1

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