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

• Label: 13.128-79.0.2-4-16.6
• 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:

$7, 12, 24$

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.

13.128-79.0.2-4-16.6.1

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