One refined passport of genus 8 with automorphism group $\PGL(2,7)$

• Label: 8.336-208.0.2-3-8.2
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(\PGL(2,7)\)
• Signature: \([ 0; 2, 3, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$8$
Quotient genus:	$0$
Group name:	$\PGL(2,7)$
Group identifier:	$[336,208]$
Signature:	$[ 0; 2, 3, 8 ]$

Conjugacy classes for this refined passport:

$3, 4, 9$

Jacobian variety group algebra decomposition:	$E^{8}$
Corresponding character(s):	$8$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.336-208.0.2-3-8.2.1

	(1,199) (2,259) (3,186) (4,284) (5,174) (6,229) (7,273) (8,296) (9,207) (10,267) (11,194) (12,300) (13,214) (14,261) (15,249) (16,288) (17,191) (18,227) (19,210) (20,292) (21,222) (22,253) (23,241) (24,312) (25,183) (26,235) (27,202) (28,316) (29,190) (30,269) (31,225) (32,304) (33,215) (34,251) (35,170) (36,308) (37,182) (38,277) (39,233) (40,328) (41,223) (42,243) (43,178) (44,332) (45,198) (46,237) (47,257) (48,320) (49,175) (50,275) (51,218) (52,324) (53,206) (54,245) (55,265) (56,336) (57,255) (58,315) (59,242) (60,172) (61,230) (62,285) (63,329) (64,184) (65,263) (66,323) (67,250) (68,188) (69,270) (70,317) (71,305) (72,176) (73,247) (74,283) (75,266) (76,180) (77,278) (78,309) (79,297) (80,200) (81,239) (82,291) (83,258) (84,204) (85,246) (86,325) (87,281) (88,192) (89,271) (90,307) (91,226) (92,196) (93,238) (94,333) (95,289) (96,216) (97,279) (98,299) (99,234) (100,220) (101,254) (102,293) (103,313) (104,208) (105,231) (106,331) (107,274) (108,212) (109,262) (110,301) (111,321) (112,224) (113,311) (114,203) (115,298) (116,228) (117,286) (118,173) (119,217) (120,240) (121,319) (122,211) (123,306) (124,244) (125,326) (126,205) (127,193) (128,232) (129,303) (130,171) (131,322) (132,236) (133,334) (134,197) (135,185) (136,256) (137,295) (138,179) (139,314) (140,260) (141,302) (142,213) (143,169) (144,248) (145,327) (146,195) (147,282) (148,252) (149,294) (150,221) (151,177) (152,272) (153,335) (154,187) (155,290) (156,276) (157,310) (158,181) (159,201) (160,264) (161,287) (162,219) (163,330) (164,268) (165,318) (166,189) (167,209) (168,280)
	(1,113,57) (2,86,152) (3,204,247) (4,63,267) (5,85,157) (6,112,154) (7,211,116) (8,66,134) (9,137,105) (10,78,120) (11,180,279) (12,111,235) (13,77,149) (14,72,146) (15,187,140) (16,90,126) (17,145,97) (18,94,160) (19,196,239) (20,103,259) (21,93,125) (22,64,122) (23,171,148) (24,106,166) (25,161,65) (26,102,144) (27,220,255) (28,71,243) (29,101,117) (30,96,114) (31,195,164) (32,82,158) (33,153,73) (34,70,128) (35,188,271) (36,79,227) (37,69,133) (38,104,130) (39,219,156) (40,58,142) (41,129,89) (42,62,168) (43,172,231) (44,95,275) (45,61,141) (46,88,138) (47,203,132) (48,74,150) (49,121,81) (50,110,136) (51,212,263) (52,87,251) (53,109,165) (54,80,162) (55,179,124) (56,98,118) (59,260,303) (60,119,323) (67,236,335) (68,167,291) (75,252,295) (76,159,315) (83,276,311) (84,127,299) (91,244,327) (92,135,283) (99,228,287) (100,151,331) (107,268,319) (108,143,307) (115,316,191) (123,292,223) (131,308,183) (139,332,199) (147,300,215) (155,284,175) (163,324,207) (169,281,225) (170,254,320) (173,253,325) (174,280,322) (176,234,302) (177,305,273) (178,246,288) (181,245,317) (182,240,314) (184,258,294) (185,313,265) (186,262,328) (189,261,293) (190,232,290) (192,274,334) (193,329,233) (194,270,312) (197,269,285) (198,264,282) (200,250,326) (201,321,241) (202,238,296) (205,237,301) (206,272,298) (208,226,310) (209,297,257) (210,230,336) (213,229,309) (214,256,306) (216,242,318) (217,289,249) (218,278,304) (221,277,333) (222,248,330) (224,266,286)
	(1,255,100,106,312,69,182,139) (2,272,53,318,59,129,223,20) (3,73,335,132,114,216,165,262) (4,10,240,37,334,107,121,175) (5,310,91,145,191,28,42,280) (6,187,249,95,332,314,120,309) (7,228,234,72,261,166,331,177) (8,197,62,243,305,151,220,202) (9,231,60,66,296,93,222,163) (11,97,327,124,138,192,133,270) (12,26,248,21,326,67,153,215) (13,294,83,113,199,44,50,256) (14,195,225,87,324,330,144,293) (15,260,242,96,269,134,323,217) (16,205,110,275,289,119,172,178) (17,279,76,58,328,109,206,115) (18,264,45,302,99,161,183,36) (19,81,319,164,146,176,141,230) (22,211,273,71,316,298,152,325) (23,252,266,112,229,142,315,201) (24,189,102,235,321,159,180,194) (25,263,108,90,288,85,174,131) (27,57,311,156,162,200,125,238) (29,286,75,137,207,52,34,232) (30,203,257,79,308,322,168,285) (31,268,274,88,237,126,307,169) (32,181,70,251,281,143,212,218) (33,247,84,98,336,61,198,147) (35,89,303,140,154,224,117,254) (38,171,241,111,300,282,160,333) (39,276,258,64,253,118,299,193) (40,213,78,267,329,127,204,186) (41,271,68,82,304,77,214,123) (43,105,295,148,130,208,157,246) (46,179,265,103,292,306,136,301) (47,236,250,80,245,158,291,209) (48,221,94,227,297,167,188,170) (49,239,92,74,320,101,190,155) (51,65,287,116,122,184,149,278) (54,219,233,63,284,290,128,317) (55,244,226,104,277,150,283,185) (56,173,86,259,313,135,196,210)