One refined passport of genus 15 with automorphism group $C_7^2:S_3$

• Label: 15.294-7.0.2-3-14.1
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(C_7^2:S_3\)
• Signature: \([ 0; 2, 3, 14 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$C_7^2:S_3$
Group identifier:	$[294,7]$
Signature:	$[ 0; 2, 3, 14 ]$

Conjugacy classes for this refined passport:

$2, 3, 15$

Jacobian variety group algebra decomposition:	$A_{3}^{3}\times E^{6}$
Corresponding character(s):	$4, 18$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.294-7.0.2-3-14.1.1

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