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Properties

Label 10.216-153.0.3-3-4.1
Genus \(10\)
Quotient genus \(0\)
Group \(\PGU(3,2)\)
Signature \([ 0; 3, 3, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $\PGU(3,2)$
Group identifier: $[216,153]$
Signature: $[ 0; 3, 3, 4 ]$
Conjugacy classes for this refined passport: $4, 7, 8$

Jacobian variety group algebra decomposition:$A_{2}\times E^{8}$
Corresponding character(s): $4, 9$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.216-153.0.3-3-4.1.1

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