One refined passport of genus 4 with automorphism group $S_5$

• Label: 4.120-34.0.2-4-5.1
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(S_5\)
• Signature: \([ 0; 2, 4, 5 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$4$
Quotient genus:	$0$
Group name:	$S_5$
Group identifier:	$[120,34]$
Signature:	$[ 0; 2, 4, 5 ]$

Conjugacy classes for this refined passport:

$2, 5, 6$

Jacobian variety group algebra decomposition:	$E^{4}$
Corresponding character(s):	$3$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.120-34.0.2-4-5.1.1

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