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

• Label: 13.128-79.0.2-4-16.5
• 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:

$7, 12, 22$

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.

13.128-79.0.2-4-16.5.1

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