One refined passport of genus 10 with automorphism group $C_3^3:A_4$

• Label: 10.324-160.0.2-3-9.2
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_3^3:A_4\)
• Signature: \([ 0; 2, 3, 9 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$10$
Quotient genus:	$0$
Group name:	$C_3^3:A_4$
Group identifier:	$[324,160]$
Signature:	$[ 0; 2, 3, 9 ]$

Conjugacy classes for this refined passport:

$2, 7, 13$

Jacobian variety group algebra decomposition:	$E^{4}\times E^{6}$
Corresponding character(s):	$9, 12$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.324-160.0.2-3-9.2.1

	(1,28) (2,29) (3,30) (4,34) (5,35) (6,36) (7,31) (8,32) (9,33) (10,46) (11,47) (12,48) (13,52) (14,53) (15,54) (16,49) (17,50) (18,51) (19,37) (20,38) (21,39) (22,43) (23,44) (24,45) (25,40) (26,41) (27,42) (55,82) (56,83) (57,84) (58,88) (59,89) (60,90) (61,85) (62,86) (63,87) (64,100) (65,101) (66,102) (67,106) (68,107) (69,108) (70,103) (71,104) (72,105) (73,91) (74,92) (75,93) (76,97) (77,98) (78,99) (79,94) (80,95) (81,96) (109,136) (110,137) (111,138) (112,142) (113,143) (114,144) (115,139) (116,140) (117,141) (118,154) (119,155) (120,156) (121,160) (122,161) (123,162) (124,157) (125,158) (126,159) (127,145) (128,146) (129,147) (130,151) (131,152) (132,153) (133,148) (134,149) (135,150) (163,190) (164,191) (165,192) (166,196) (167,197) (168,198) (169,193) (170,194) (171,195) (172,208) (173,209) (174,210) (175,214) (176,215) (177,216) (178,211) (179,212) (180,213) (181,199) (182,200) (183,201) (184,205) (185,206) (186,207) (187,202) (188,203) (189,204) (217,244) (218,245) (219,246) (220,250) (221,251) (222,252) (223,247) (224,248) (225,249) (226,262) (227,263) (228,264) (229,268) (230,269) (231,270) (232,265) (233,266) (234,267) (235,253) (236,254) (237,255) (238,259) (239,260) (240,261) (241,256) (242,257) (243,258) (271,298) (272,299) (273,300) (274,304) (275,305) (276,306) (277,301) (278,302) (279,303) (280,316) (281,317) (282,318) (283,322) (284,323) (285,324) (286,319) (287,320) (288,321) (289,307) (290,308) (291,309) (292,313) (293,314) (294,315) (295,310) (296,311) (297,312)
	(1,198,286) (2,216,283) (3,207,280) (4,197,295) (5,215,292) (6,206,289) (7,196,277) (8,214,274) (9,205,271) (10,192,288) (11,210,285) (12,201,282) (13,191,297) (14,209,294) (15,200,291) (16,190,279) (17,208,276) (18,199,273) (19,195,287) (20,213,284) (21,204,281) (22,194,296) (23,212,293) (24,203,290) (25,193,278) (26,211,275) (27,202,272) (28,144,259) (29,162,256) (30,153,253) (31,143,268) (32,161,265) (33,152,262) (34,142,250) (35,160,247) (36,151,244) (37,138,261) (38,156,258) (39,147,255) (40,137,270) (41,155,267) (42,146,264) (43,136,252) (44,154,249) (45,145,246) (46,141,260) (47,159,257) (48,150,254) (49,140,269) (50,158,266) (51,149,263) (52,139,251) (53,157,248) (54,148,245) (55,117,313) (56,135,310) (57,126,307) (58,116,322) (59,134,319) (60,125,316) (61,115,304) (62,133,301) (63,124,298) (64,111,315) (65,129,312) (66,120,309) (67,110,324) (68,128,321) (69,119,318) (70,109,306) (71,127,303) (72,118,300) (73,114,314) (74,132,311) (75,123,308) (76,113,323) (77,131,320) (78,122,317) (79,112,305) (80,130,302) (81,121,299) (82,171,232) (83,189,229) (84,180,226) (85,170,241) (86,188,238) (87,179,235) (88,169,223) (89,187,220) (90,178,217) (91,165,234) (92,183,231) (93,174,228) (94,164,243) (95,182,240) (96,173,237) (97,163,225) (98,181,222) (99,172,219) (100,168,233) (101,186,230) (102,177,227) (103,167,242) (104,185,239) (105,176,236) (106,166,224) (107,184,221) (108,175,218)
	(1,319,149,18,300,154,23,314,144) (2,322,140,16,303,145,24,308,162) (3,316,158,17,306,136,22,311,153) (4,310,150,12,318,155,26,305,142) (5,313,141,10,321,146,27,299,160) (6,307,159,11,324,137,25,302,151) (7,301,148,15,309,156,20,323,143) (8,304,139,13,312,147,21,317,161) (9,298,157,14,315,138,19,320,152) (28,238,203,45,219,208,50,233,198) (29,241,194,43,222,199,51,227,216) (30,235,212,44,225,190,49,230,207) (31,229,204,39,237,209,53,224,196) (32,232,195,37,240,200,54,218,214) (33,226,213,38,243,191,52,221,205) (34,220,202,42,228,210,47,242,197) (35,223,193,40,231,201,48,236,215) (36,217,211,41,234,192,46,239,206) (55,292,176,72,273,181,77,287,171) (56,295,167,70,276,172,78,281,189) (57,289,185,71,279,163,76,284,180) (58,283,177,66,291,182,80,278,169) (59,286,168,64,294,173,81,272,187) (60,280,186,65,297,164,79,275,178) (61,274,175,69,282,183,74,296,170) (62,277,166,67,285,174,75,290,188) (63,271,184,68,288,165,73,293,179) (82,265,122,99,246,127,104,260,117) (83,268,113,97,249,118,105,254,135) (84,262,131,98,252,109,103,257,126) (85,256,123,93,264,128,107,251,115) (86,259,114,91,267,119,108,245,133) (87,253,132,92,270,110,106,248,124) (88,247,121,96,255,129,101,269,116) (89,250,112,94,258,120,102,263,134) (90,244,130,95,261,111,100,266,125)