Finite Group Databasebeta

← Group #13057641

Character table — Group #13057641

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112266666666666612121212121212121212121214141414282828282828282842424242565656565656565656565656
order1222444444714141428282828282828282828282828282828224433666666444466661212121212121212
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ31111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ4111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ5111111111111111111111111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ6111111111111111111111111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ71111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1111111-1-1-1-1-1-1-1-1
χ81111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ91111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ101111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111
χ111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ121111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ131-1-11i−ii−i1-11-11-1ii−i−i111-1-1-1iii−i−i−i1-1i−i1111-1-1-1-1i−i1-11-11-1i−ii−ii−ii−i
χ141-1-11i−ii−i1-11-11-1ii−i−i111-1-1-1iii−i−i−i1-1i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−i1-1−1−i321+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ151-1-11i−ii−i1-11-11-1ii−i−i111-1-1-1iii−i−i−i1-1i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−i1-1−1+i321−i32−1−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ161-1-11i−ii−i1-11-11-1ii−i−i111-1-1-1iii−i−i−i-11−ii1111-1-1-1-1−ii-11-11-11i−i−iii−i−ii
χ171-1-11i−ii−i1-11-11-1ii−i−i111-1-1-1iii−i−i−i-11−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ii-111+i32−1−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ181-1-11i−ii−i1-11-11-1ii−i−i111-1-1-1iii−i−i−i-11−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ii-111−i32−1+i321+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ191-1-11−ii−ii1-11-11-1−i−iii111-1-1-1−i−i−iiii1-1−ii1111-1-1-1-1−ii1-11-11-1−ii−ii−ii−ii
χ201-1-11−ii−ii1-11-11-1−i−iii111-1-1-1−i−i−iiii1-1−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ii1-1−1−i321+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ211-1-11−ii−ii1-11-11-1−i−iii111-1-1-1−i−i−iiii1-1−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ii1-1−1+i321−i32−1−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ221-1-11−ii−ii1-11-11-1−i−iii111-1-1-1−i−i−iiii-11i−i1111-1-1-1-1i−i-11-11-11−iii−i−iii−i
χ231-1-11−ii−ii1-11-11-1−i−iii111-1-1-1−i−i−iiii-11i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−i-111+i32−1−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ241-1-11−ii−ii1-11-11-1−i−iii111-1-1-1−i−i−iiii-11i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−i-111−i32−1+i321+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ25333333-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1333300000000-1-1-1-1000000000000
χ26333333-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-3000000001111000000000000
χ273333-3-311-1-13333-3-3-3-3-1-1-1-1-1-111111133-3-30000000011-1-1000000000000
χ283333-3-311-1-13333-3-3-3-3-1-1-1-1-1-1111111-3-33300000000-1-111000000000000
χ293-3-333i−3i−ii-113-33-33i3i−3i−3i-1-1-1111−i−i−iiii3-33i−3i00000000−ii-11000000000000
χ303-3-333i−3i−ii-113-33-33i3i−3i−3i-1-1-1111−i−i−iiii-33−3i3i00000000i−i1-1000000000000
χ313-3-33−3i3ii−i-113-33-3−3i−3i3i3i-1-1-1111iii−i−i−i3-3−3i3i00000000i−i-11000000000000
χ323-3-33−3i3ii−i-113-33-3−3i−3i3i3i-1-1-1111iii−i−i−i-333i−3i00000000−ii1-1000000000000
χ3344-4-40000004-4-4400000000000000000000-2-2222-22-20000000000000000
χ3444-4-40000004-4-44000000000000000000001+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i30000000000000000
χ3544-4-40000004-4-44000000000000000000001−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i30000000000000000
χ364-44-400000044-4-400000000000000000000-2-222-22-220000000000000000
χ374-44-400000044-4-4000000000000000000001+i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i30000000000000000
χ384-44-400000044-4-4000000000000000000001−i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i30000000000000000
χ396666666666-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ40666666-2-2-2-2-1-1-1-1-1-1-1-1ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ820000000000000000000000000000
χ41666666-2-2-2-2-1-1-1-1-1-1-1-1−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ820000000000000000000000000000
χ42666666-2-2-2-2-1-1-1-1-1-1-1-1−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ820000000000000000000000000000
χ436666-6-622-2-2-1-1-1-11111ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ820000000000000000000000000000
χ446666-6-622-2-2-1-1-1-11111−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ820000000000000000000000000000
χ456666-6-622-2-2-1-1-1-11111−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ820000000000000000000000000000
χ466666-6-6-6-666-1-1-1-11111-1-1-1-1-1-11111110000000000000000000000000000
χ476-6-666i−6i6i−6i6-6-11-11−i−iii-1-1-1111−i−i−iiii0000000000000000000000000000
χ486-6-666i−6i−2i2i-22-11-11−i−iiiζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82−ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ55−ζ59−ζ67−ζ71+ζ79−ζ83−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47+ζ55−ζ59−ζ67+ζ71−ζ79+ζ83ζ11−ζ19−ζ23+ζ31−ζ43−ζ47−ζ55+ζ59+ζ67−ζ71−ζ79−ζ83ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ55+ζ59+ζ67+ζ71−ζ79+ζ83ζ11+ζ19+ζ23+ζ31−ζ43+ζ47−ζ55+ζ59+ζ67−ζ71+ζ79−ζ83−ζ11+ζ19+ζ23−ζ31+ζ43+ζ47+ζ55−ζ59−ζ67+ζ71+ζ79+ζ830000000000000000000000000000
χ496-6-666i−6i−2i2i-22-11-11−i−iii−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47+ζ55−ζ59−ζ67+ζ71−ζ79+ζ83ζ11−ζ19−ζ23+ζ31−ζ43−ζ47−ζ55+ζ59+ζ67−ζ71−ζ79−ζ83−ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ55−ζ59−ζ67−ζ71+ζ79−ζ83ζ11+ζ19+ζ23+ζ31−ζ43+ζ47−ζ55+ζ59+ζ67−ζ71+ζ79−ζ83−ζ11+ζ19+ζ23−ζ31+ζ43+ζ47+ζ55−ζ59−ζ67+ζ71+ζ79+ζ83ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ55+ζ59+ζ67+ζ71−ζ79+ζ830000000000000000000000000000
χ506-6-666i−6i−2i2i-22-11-11−i−iii−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82ζ11−ζ19−ζ23+ζ31−ζ43−ζ47−ζ55+ζ59+ζ67−ζ71−ζ79−ζ83−ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ55−ζ59−ζ67−ζ71+ζ79−ζ83−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47+ζ55−ζ59−ζ67+ζ71−ζ79+ζ83−ζ11+ζ19+ζ23−ζ31+ζ43+ζ47+ζ55−ζ59−ζ67+ζ71+ζ79+ζ83ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ55+ζ59+ζ67+ζ71−ζ79+ζ83ζ11+ζ19+ζ23+ζ31−ζ43+ζ47−ζ55+ζ59+ζ67−ζ71+ζ79−ζ830000000000000000000000000000
χ516-6-66−6i6i2i−2i-22-11-11ii−i−iζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ55+ζ59+ζ67+ζ71−ζ79+ζ83ζ11+ζ19+ζ23+ζ31−ζ43+ζ47−ζ55+ζ59+ζ67−ζ71+ζ79−ζ83−ζ11+ζ19+ζ23−ζ31+ζ43+ζ47+ζ55−ζ59−ζ67+ζ71+ζ79+ζ83−ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ55−ζ59−ζ67−ζ71+ζ79−ζ83−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47+ζ55−ζ59−ζ67+ζ71−ζ79+ζ83ζ11−ζ19−ζ23+ζ31−ζ43−ζ47−ζ55+ζ59+ζ67−ζ71−ζ79−ζ830000000000000000000000000000
χ526-6-66−6i6i2i−2i-22-11-11ii−i−i−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82ζ11+ζ19+ζ23+ζ31−ζ43+ζ47−ζ55+ζ59+ζ67−ζ71+ζ79−ζ83−ζ11+ζ19+ζ23−ζ31+ζ43+ζ47+ζ55−ζ59−ζ67+ζ71+ζ79+ζ83ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ55+ζ59+ζ67+ζ71−ζ79+ζ83−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47+ζ55−ζ59−ζ67+ζ71−ζ79+ζ83ζ11−ζ19−ζ23+ζ31−ζ43−ζ47−ζ55+ζ59+ζ67−ζ71−ζ79−ζ83−ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ55−ζ59−ζ67−ζ71+ζ79−ζ830000000000000000000000000000
χ536-6-66−6i6i2i−2i-22-11-11ii−i−i−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ82−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ82ζ2+ζ10−ζ22+ζ26−ζ34+ζ38+ζ46−ζ50+ζ58−ζ62+ζ74+ζ82−ζ11+ζ19+ζ23−ζ31+ζ43+ζ47+ζ55−ζ59−ζ67+ζ71+ζ79+ζ83ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ55+ζ59+ζ67+ζ71−ζ79+ζ83ζ11+ζ19+ζ23+ζ31−ζ43+ζ47−ζ55+ζ59+ζ67−ζ71+ζ79−ζ83ζ11−ζ19−ζ23+ζ31−ζ43−ζ47−ζ55+ζ59+ζ67−ζ71−ζ79−ζ83−ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ55−ζ59−ζ67−ζ71+ζ79−ζ83−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47+ζ55−ζ59−ζ67+ζ71−ζ79+ζ830000000000000000000000000000
χ546-6-66−6i6i−6i6i6-6-11-11ii−i−i-1-1-1111iii−i−i−i0000000000000000000000000000
χ551212-12-12000000-222-227−2727−270000000000000000000000000000000000000000
χ561212-12-12000000-222-2−2727−27270000000000000000000000000000000000000000
χ5712-1212-12000000-2-222−2i72i72i7−2i70000000000000000000000000000000000000000
χ5812-1212-12000000-2-2222i7−2i7−2i72i70000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.