Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(\SL(2,5)\)
Signature \([ 0; 3, 3, 10 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 15
Quotient Genus: 0
Group name: $\SL(2,5)$
Group identifier: [120,5]
Signature: $[ 0; 3, 3, 10 ]$
Conjugacy classes for this refined passport: 3, 3, 8

The full automorphism group for this family is $C_4.A_5$ with signature $[ 0; 2, 3, 20 ]$.

Jacobian variety group algebra decomposition:$A_{4}\times E^{5}\times A_{2}^{3}$
Corresponding character(s): 2, 8, 9

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.120-5.0.3-3-10.1.1

  (1,3,5) (2,7,8) (4,33,10) (6,13,14) (9,106,100) (11,17,18) (12,19,20) (15,21,22) (16,23,24) (25,27,29) (26,31,32) (28,57,34) (30,37,38) (35,41,42) (36,43,44) (39,45,46) (40,47,48) (49,51,53) (50,55,56) (52,81,58) (54,61,62) (59,65,66) (60,67,68) (63,69,70) (64,71,72) (73,75,77) (74,79,80) (76,105,82) (78,85,86) (83,89,90) (84,91,92) (87,93,94) (88,95,96) (97,99,101) (98,103,104) (102,109,110) (107,113,114) (108,115,116) (111,117,118) (112,119,120)
  (1,16,37) (2,11,9) (3,102,111) (4,12,103) (5,41,116) (6,15,27) (7,28,36) (8,117,48) (10,119,46) (13,97,112) (14,43,114) (17,92,101) (18,38,67) (19,90,110) (20,29,65) (21,72,32) (22,106,95) (23,70,34) (24,104,93) (25,40,61) (26,35,33) (30,39,51) (31,52,60) (42,62,91) (44,53,89) (45,96,56) (47,94,58) (49,64,85) (50,59,57) (54,63,75) (55,76,84) (66,86,115) (68,77,113) (69,120,80) (71,118,82) (73,88,109) (74,83,81) (78,87,99) (79,100,108) (98,107,105)
  (1,30,49,78,97,6,25,54,73,102) (2,100,74,52,26,4,98,76,50,28) (3,118,64,53,43,13,120,63,62,41) (5,115,85,72,15,14,113,75,70,16) (7,44,83,80,119,33,42,84,82,117) (8,47,81,90,12,10,45,55,92,11) (9,18,60,58,93,103,20,59,56,95) (17,99,94,40,29,19,109,96,39,38) (21,31,68,107,104,23,57,66,108,106) (22,88,77,67,37,24,87,86,65,27) (32,71,105,114,36,34,69,79,116,35) (46,112,101,91,61,48,111,110,89,51)