Finite Group Databasebeta

← Group #13062205

Character table — Group #13062205

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size112222226666677121212121212121212121212121212161616163232323232323232323232324242424242112112112112
order12777141414222444414141414141414141428282828282833662121212121214242424242422244412121212
χ11111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32
χ3111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32
χ41111111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ51111111111111-1-1111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321−i321−i32
χ61111111111111-1-1111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321+i321+i32
χ722ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ742222200ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ742222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74000000000
χ822ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ742222200ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−1−i3−1+i3−1−i3−1+i3−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46000000000
χ922ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ742222200ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−1+i3−1−i3−1+i3−1−i3−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74000000000
χ1022ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ822222200ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ822222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82000000000
χ1122ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ822222200ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−1−i3−1+i3−1−i3−1+i3−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82000000000
χ1222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ822222200ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−1+i3−1−i3−1+i3−1−i3−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26000000000
χ1322ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ622222200ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ622222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62000000000
χ1422ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ622222200ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−1−i3−1+i3−1−i3−1+i3−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34000000000
χ1522ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ622222200ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−1+i3−1−i3−1+i3−1−i3−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62000000000
χ16333333333-1-1-1-1333-1-13-1-13-1-1-1-1-1-1-1-10000000000000000-1-13-1-10000
χ17333333333-1-1-1-1-3-33-1-13-1-13-1-1-1-1-1-1-1-1000000000000000011-3110000
χ1833333333-13-1-1-133-13-1-13-1-13-1-1-1-1-1-1-10000000000000000-1-1-13-10000
χ1933333333-13-1-1-1-3-3-13-1-13-1-13-1-1-1-1-1-1-10000000000000000111-310000
χ2033333333-1-13-1-133-1-13-1-13-1-13-1-1-1-1-1-10000000000000000-1-1-1-130000
χ2133333333-1-13-1-1-3-3-1-13-1-13-1-13-1-1-1-1-1-100000000000000001111-30000
χ2233333333-1-1-13-133-1-1-1-1-1-1-1-1-13-13-13-100000000000000003-1-1-1-10000
χ2333333333-1-1-13-1-3-3-1-1-1-1-1-1-1-1-13-13-13-10000000000000000-311110000
χ2433333333-1-1-1-1333-1-1-1-1-1-1-1-1-1-13-13-130000000000000000-13-1-1-10000
χ2533333333-1-1-1-13-3-3-1-1-1-1-1-1-1-1-1-13-13-1300000000000000001-31110000
χ264-4444-4-4-4000004i−4i00000000000000011-1-1111111-1-1-1-1-1-100000i−ii−i
χ274-4444-4-4-4000004i−4i000000000000000−1−i32−1+i321+i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i3200000ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ284-4444-4-4-4000004i−4i000000000000000−1+i32−1−i321−i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i3200000ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ294-4444-4-4-400000−4i4i00000000000000011-1-1111111-1-1-1-1-1-100000−ii−ii
χ304-4444-4-4-400000−4i4i000000000000000−1−i32−1+i321+i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i3200000−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ314-4444-4-4-400000−4i4i000000000000000−1+i32−1−i321−i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i3200000−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ32663ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ746-2-2-2-2003ζ2+3ζ26+3ζ58+3ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ823ζ22+3ζ34+3ζ50+3ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ623ζ10+3ζ38+3ζ46+3ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ740000000000000000000000000
χ33663ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74-26-2-2-200−ζ2−ζ26−ζ58−ζ823ζ2+3ζ26+3ζ58+3ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ623ζ22+3ζ34+3ζ50+3ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ743ζ10+3ζ38+3ζ46+3ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ740000000000000000000000000
χ34663ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74-2-26-2-200−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ823ζ2+3ζ26+3ζ58+3ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ623ζ22+3ζ34+3ζ50+3ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ743ζ10+3ζ38+3ζ46+3ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ740000000000000000000000000
χ35663ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74-2-2-26-200−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ743ζ2+3ζ26+3ζ58+3ζ82−ζ2−ζ26−ζ58−ζ823ζ22+3ζ34+3ζ50+3ζ62−ζ22−ζ34−ζ50−ζ623ζ10+3ζ38+3ζ46+3ζ74−ζ10−ζ38−ζ46−ζ740000000000000000000000000
χ36663ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74-2-2-2-2600−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ823ζ2+3ζ26+3ζ58+3ζ82−ζ22−ζ34−ζ50−ζ623ζ22+3ζ34+3ζ50+3ζ62−ζ10−ζ38−ζ46−ζ743ζ10+3ζ38+3ζ46+3ζ740000000000000000000000000
χ37663ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ826-2-2-2-2003ζ22+3ζ34+3ζ50+3ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ623ζ10+3ζ38+3ζ46+3ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ743ζ2+3ζ26+3ζ58+3ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ820000000000000000000000000
χ38663ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82-26-2-2-200−ζ22−ζ34−ζ50−ζ623ζ22+3ζ34+3ζ50+3ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ743ζ10+3ζ38+3ζ46+3ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ823ζ2+3ζ26+3ζ58+3ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ820000000000000000000000000
χ39663ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82-2-26-2-200−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ623ζ22+3ζ34+3ζ50+3ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ743ζ10+3ζ38+3ζ46+3ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ823ζ2+3ζ26+3ζ58+3ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ820000000000000000000000000
χ40663ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82-2-2-26-200−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ823ζ22+3ζ34+3ζ50+3ζ62−ζ22−ζ34−ζ50−ζ623ζ10+3ζ38+3ζ46+3ζ74−ζ10−ζ38−ζ46−ζ743ζ2+3ζ26+3ζ58+3ζ82−ζ2−ζ26−ζ58−ζ820000000000000000000000000
χ41663ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82-2-2-2-2600−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ623ζ22+3ζ34+3ζ50+3ζ62−ζ10−ζ38−ζ46−ζ743ζ10+3ζ38+3ζ46+3ζ74−ζ2−ζ26−ζ58−ζ823ζ2+3ζ26+3ζ58+3ζ820000000000000000000000000
χ42663ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ626-2-2-2-2003ζ10+3ζ38+3ζ46+3ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ743ζ2+3ζ26+3ζ58+3ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ823ζ22+3ζ34+3ζ50+3ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ620000000000000000000000000
χ43663ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62-26-2-2-200−ζ10−ζ38−ζ46−ζ743ζ10+3ζ38+3ζ46+3ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ823ζ2+3ζ26+3ζ58+3ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ623ζ22+3ζ34+3ζ50+3ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ620000000000000000000000000
χ44663ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62-2-26-2-200−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ743ζ10+3ζ38+3ζ46+3ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ823ζ2+3ζ26+3ζ58+3ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ623ζ22+3ζ34+3ζ50+3ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ620000000000000000000000000
χ45663ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62-2-2-26-200−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ623ζ10+3ζ38+3ζ46+3ζ74−ζ10−ζ38−ζ46−ζ743ζ2+3ζ26+3ζ58+3ζ82−ζ2−ζ26−ζ58−ζ823ζ22+3ζ34+3ζ50+3ζ62−ζ22−ζ34−ζ50−ζ620000000000000000000000000
χ46663ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62-2-2-2-2600−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ743ζ10+3ζ38+3ζ46+3ζ74−ζ2−ζ26−ζ58−ζ823ζ2+3ζ26+3ζ58+3ζ82−ζ22−ζ34−ζ50−ζ623ζ22+3ζ34+3ζ50+3ζ620000000000000000000000000
χ478-84ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ74000000000000000000000022-2-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74000000000
χ488-84ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ740000000000000000000000−1−i3−1+i31+i31−i3−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46ζ2+ζ26ζ50+ζ62ζ38+ζ74ζ58+ζ82ζ22+ζ34ζ10+ζ46000000000
χ498-84ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ740000000000000000000000−1+i3−1−i31−i31+i3−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74ζ58+ζ82ζ22+ζ34ζ10+ζ46ζ2+ζ26ζ50+ζ62ζ38+ζ74000000000
χ508-84ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ82000000000000000000000022-2-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82000000000
χ518-84ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ820000000000000000000000−1−i3−1+i31+i31−i3−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82ζ50+ζ62ζ38+ζ74ζ2+ζ26ζ22+ζ34ζ10+ζ46ζ58+ζ82000000000
χ528-84ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ820000000000000000000000−1+i3−1−i31−i31+i3−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26ζ22+ζ34ζ10+ζ46ζ58+ζ82ζ50+ζ62ζ38+ζ74ζ2+ζ26000000000
χ538-84ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ62000000000000000000000022-2-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62000000000
χ548-84ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ620000000000000000000000−1−i3−1+i31+i31−i3−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34ζ38+ζ74ζ2+ζ26ζ50+ζ62ζ10+ζ46ζ58+ζ82ζ22+ζ34000000000
χ558-84ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ620000000000000000000000−1+i3−1−i31−i31+i3−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62ζ10+ζ46ζ58+ζ82ζ22+ζ34ζ38+ζ74ζ2+ζ26ζ50+ζ62000000000

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