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

• Label: 13.128-79.0.2-4-16.4
• 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:

$7, 11, 29$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{4}$
Corresponding character(s):	$6, 11, 17, 21, 28$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.128-79.0.2-4-16.4.1

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