One refined passport of genus 6 with automorphism group $C_5^2:S_3$

• Label: 6.150-5.0.2-3-10.2
• Genus: \(6\)
• Quotient genus: \(0\)
• Group: \(C_5^2:S_3\)
• Signature: \([ 0; 2, 3, 10 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$6$
Quotient genus:	$0$
Group name:	$C_5^2:S_3$
Group identifier:	$[150,5]$
Signature:	$[ 0; 2, 3, 10 ]$

Conjugacy classes for this refined passport:

$2, 3, 11$

Jacobian variety group algebra decomposition:	$A_{2}^{3}$
Corresponding character(s):	$6$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.150-5.0.2-3-10.2.1

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