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Properties

Label 10.216-87.0.2-4-6.2
Genus \(10\)
Quotient genus \(0\)
Group \(\He_3:D_4\)
Signature \([ 0; 2, 4, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $\He_3:D_4$
Group identifier: $[216,87]$
Signature: $[ 0; 2, 4, 6 ]$
Conjugacy classes for this refined passport: $4, 8, 10$

Jacobian variety group algebra decomposition:$E^{4}\times E^{6}$
Corresponding character(s): $7, 11$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.216-87.0.2-4-6.2.1

  (1,109) (2,111) (3,110) (4,112) (5,114) (6,113) (7,115) (8,117) (9,116) (10,127) (11,129) (12,128) (13,130) (14,132) (15,131) (16,133) (17,135) (18,134) (19,118) (20,120) (21,119) (22,121) (23,123) (24,122) (25,124) (26,126) (27,125) (28,136) (29,138) (30,137) (31,139) (32,141) (33,140) (34,142) (35,144) (36,143) (37,154) (38,156) (39,155) (40,157) (41,159) (42,158) (43,160) (44,162) (45,161) (46,145) (47,147) (48,146) (49,148) (50,150) (51,149) (52,151) (53,153) (54,152) (55,190) (56,192) (57,191) (58,193) (59,195) (60,194) (61,196) (62,198) (63,197) (64,208) (65,210) (66,209) (67,211) (68,213) (69,212) (70,214) (71,216) (72,215) (73,199) (74,201) (75,200) (76,202) (77,204) (78,203) (79,205) (80,207) (81,206) (82,163) (83,165) (84,164) (85,166) (86,168) (87,167) (88,169) (89,171) (90,170) (91,181) (92,183) (93,182) (94,184) (95,186) (96,185) (97,187) (98,189) (99,188) (100,172) (101,174) (102,173) (103,175) (104,177) (105,176) (106,178) (107,180) (108,179)
  (1,176,46,207) (2,177,47,205) (3,175,48,206) (4,185,53,198) (5,186,54,196) (6,184,52,197) (7,167,51,216) (8,168,49,214) (9,166,50,215) (10,172,37,199) (11,173,38,200) (12,174,39,201) (13,183,44,192) (14,181,45,190) (15,182,43,191) (16,164,42,209) (17,165,40,210) (18,163,41,208) (19,180,28,203) (20,178,29,204) (21,179,30,202) (22,187,35,195) (23,188,36,193) (24,189,34,194) (25,170,33,211) (26,171,31,212) (27,169,32,213) (55,149,100,126) (56,150,101,124) (57,148,102,125) (58,158,107,117) (59,159,108,115) (60,157,106,116) (61,140,105,135) (62,141,103,133) (63,139,104,134) (64,145,91,118) (65,146,92,119) (66,147,93,120) (67,156,98,111) (68,154,99,109) (69,155,97,110) (70,137,96,128) (71,138,94,129) (72,136,95,127) (73,153,82,122) (74,151,83,123) (75,152,84,121) (76,160,89,114) (77,161,90,112) (78,162,88,113) (79,143,87,130) (80,144,85,131) (81,142,86,132)
  (1,80,15,57,27,68) (2,79,13,56,25,67) (3,81,14,55,26,69) (4,62,16,66,20,77) (5,61,17,65,21,76) (6,63,18,64,19,78) (7,71,11,75,22,59) (8,70,12,74,23,58) (9,72,10,73,24,60) (28,107,42,84,54,95) (29,106,40,83,52,94) (30,108,41,82,53,96) (31,89,43,93,47,104) (32,88,44,92,48,103) (33,90,45,91,46,105) (34,98,38,102,49,86) (35,97,39,101,50,85) (36,99,37,100,51,87) (109,188,123,165,135,176) (110,187,121,164,133,175) (111,189,122,163,134,177) (112,170,124,174,128,185) (113,169,125,173,129,184) (114,171,126,172,127,186) (115,179,119,183,130,167) (116,178,120,182,131,166) (117,180,118,181,132,168) (136,215,150,192,162,203) (137,214,148,191,160,202) (138,216,149,190,161,204) (139,197,151,201,155,212) (140,196,152,200,156,211) (141,198,153,199,154,213) (142,206,146,210,157,194) (143,205,147,209,158,193) (144,207,145,208,159,195)