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

• Label: 13.128-79.0.2-4-16.11
• 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:

$7, 13, 27$

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.

13.128-79.0.2-4-16.11.1

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