One refined passport of genus 10 with automorphism group $\He_3.C_6$

• Label: 10.162-14.0.2-3-18.6
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(\He_3.C_6\)
• Signature: \([ 0; 2, 3, 18 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$10$
Quotient genus:	$0$
Group name:	$\He_3.C_6$
Group identifier:	$[162,14]$
Signature:	$[ 0; 2, 3, 18 ]$

Conjugacy classes for this refined passport:

$2, 8, 21$

Jacobian variety group algebra decomposition:	$E\times A_{3}^{3}$
Corresponding character(s):	$5, 10$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.162-14.0.2-3-18.6.1

	(1,82) (2,83) (3,84) (4,89) (5,90) (6,88) (7,87) (8,85) (9,86) (10,100) (11,101) (12,102) (13,107) (14,108) (15,106) (16,105) (17,103) (18,104) (19,91) (20,92) (21,93) (22,98) (23,99) (24,97) (25,96) (26,94) (27,95) (28,109) (29,110) (30,111) (31,116) (32,117) (33,115) (34,114) (35,112) (36,113) (37,127) (38,128) (39,129) (40,134) (41,135) (42,133) (43,132) (44,130) (45,131) (46,118) (47,119) (48,120) (49,125) (50,126) (51,124) (52,123) (53,121) (54,122) (55,136) (56,137) (57,138) (58,143) (59,144) (60,142) (61,141) (62,139) (63,140) (64,154) (65,155) (66,156) (67,161) (68,162) (69,160) (70,159) (71,157) (72,158) (73,145) (74,146) (75,147) (76,152) (77,153) (78,151) (79,150) (80,148) (81,149)
	(1,77,37) (2,78,38) (3,76,39) (4,79,41) (5,80,42) (6,81,40) (7,75,45) (8,73,43) (9,74,44) (10,57,50) (11,55,51) (12,56,49) (13,59,54) (14,60,52) (15,58,53) (16,61,46) (17,62,47) (18,63,48) (19,72,34) (20,70,35) (21,71,36) (22,65,29) (23,66,30) (24,64,28) (25,67,33) (26,68,31) (27,69,32) (82,158,118) (83,159,119) (84,157,120) (85,160,122) (86,161,123) (87,162,121) (88,156,126) (89,154,124) (90,155,125) (91,138,131) (92,136,132) (93,137,130) (94,140,135) (95,141,133) (96,139,134) (97,142,127) (98,143,128) (99,144,129) (100,153,115) (101,151,116) (102,152,117) (103,146,110) (104,147,111) (105,145,109) (106,148,114) (107,149,112) (108,150,113)
	(1,127,60,108,36,157,3,129,59,107,35,159,2,128,58,106,34,158) (4,135,63,104,30,156,6,134,62,103,29,155,5,133,61,105,28,154) (7,131,57,100,33,161,9,130,56,102,32,160,8,132,55,101,31,162) (10,126,66,99,39,152,12,125,65,98,38,151,11,124,64,97,37,153) (13,122,69,95,42,148,15,121,68,94,41,150,14,123,67,96,40,149) (16,118,72,91,45,147,18,120,71,93,44,146,17,119,70,92,43,145) (19,114,80,90,49,137,21,113,79,89,51,136,20,112,81,88,50,138) (22,110,74,86,52,142,24,109,73,85,54,144,23,111,75,87,53,143) (25,115,77,82,46,141,27,117,76,84,48,140,26,116,78,83,47,139)