Finite Group Databasebeta

← Group #13057638

Character table — Group #13057638

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size1111226666666666121212121212121212121212121414141428282828282828285656565656565656565656568484
order12224444714141428282828428282828282828282828282844443366666612121212121212121212121244
χ11111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i3211
χ3111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i3211
χ411111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1
χ511111111111111111111111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1
χ611111111111111111111111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1
χ71111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-111-11
χ81111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11
χ91111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11
χ101111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1
χ111111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1
χ121111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1
χ1322-2-2002-22-22-200000222-2-2-200000000002222-2-2-2-200000000000000
χ1422-2-2002-22-22-200000222-2-2-20000000000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300000000000000
χ1522-2-2002-22-22-200000222-2-2-20000000000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i300000000000000
χ162-2-222i−2i002-2-222i2i−2i−2i00000000000002i−2i2-2-1-111-1-1111-11-1i−ii−ii−ii−i00
χ172-2-222i−2i002-2-222i2i−2i−2i00000000000002i−2i2-21+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−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−ζ7900
χ182-2-222i−2i002-2-222i2i−2i−2i00000000000002i−2i2-21−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+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−ζ8300
χ192-2-222i−2i002-2-222i2i−2i−2i0000000000000−2i2i-22-1-111-1-111-11-11i−i−iii−i−ii00
χ202-2-222i−2i002-2-222i2i−2i−2i0000000000000−2i2i-221+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+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+ζ7900
χ212-2-222i−2i002-2-222i2i−2i−2i0000000000000−2i2i-221−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−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+ζ8300
χ222-2-22−2i2i002-2-22−2i−2i2i2i00000000000002i−2i-22-1-111-1-111-11-11−iii−i−iii−i00
χ232-2-22−2i2i002-2-22−2i−2i2i2i00000000000002i−2i-221+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+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−ζ7900
χ242-2-22−2i2i002-2-22−2i−2i2i2i00000000000002i−2i-221−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−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−ζ8300
χ252-2-22−2i2i002-2-22−2i−2i2i2i0000000000000−2i2i2-2-1-111-1-1111-11-1−ii−ii−ii−ii00
χ262-2-22−2i2i002-2-22−2i−2i2i2i0000000000000−2i2i2-21+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−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+ζ7900
χ272-2-22−2i2i002-2-22−2i−2i2i2i0000000000000−2i2i2-21−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+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+ζ8300
χ28333333-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1333300000000000000000000-1-1
χ29333333-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-30000000000000000000011
χ303333-3-3-1-13333-3-3-3-31-1-1-1-1-1-111111133-3-3000000000000000000001-1
χ313333-3-3-1-13333-3-3-3-31-1-1-1-1-1-1111111-3-33300000000000000000000-11
χ324-44-4000044-4-4000000000000000000000-2-22222-2-200000000000000
χ334-44-4000044-4-40000000000000000000001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i300000000000000
χ344-44-4000044-4-40000000000000000000001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i300000000000000
χ3566666666-1-1-1-1-1-1-1-16-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ36666666-2-2-1-1-1-1-1-1-1-1-2ζ2−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+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−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ8200000000000000000000000000
χ37666666-2-2-1-1-1-1-1-1-1-1-2−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−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+ζ8200000000000000000000000000
χ38666666-2-2-1-1-1-1-1-1-1-1-2−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−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−ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ8200000000000000000000000000
χ396666-6-666-1-1-1-11111-6-1-1-1-1-1-111111100000000000000000000000000
χ406666-6-6-2-2-1-1-1-111112ζ2−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−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+ζ82ζ2−ζ10+ζ22+ζ26+ζ34−ζ38−ζ46+ζ50+ζ58+ζ62−ζ74+ζ8200000000000000000000000000
χ416666-6-6-2-2-1-1-1-111112−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+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−ζ2+ζ10+ζ22−ζ26+ζ34+ζ38+ζ46+ζ50−ζ58+ζ62+ζ74−ζ8200000000000000000000000000
χ426666-6-6-2-2-1-1-1-111112−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+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+ζ8200000000000000000000000000
χ4366-6-6006-6-11-117−77−70-1-1-11117−77−77−700000000000000000000000000
χ4466-6-6006-6-11-11−77−770-1-1-1111−77−77−7700000000000000000000000000
χ4566-6-600-226-66-600000-2-2-222200000000000000000000000000000000
χ4666-6-600-22-11-117−77−70ζ2−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+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+ζ83ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ55−ζ59+ζ67−ζ71−ζ79+ζ83−ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ55+ζ59−ζ67+ζ71+ζ79−ζ8300000000000000000000000000
χ4766-6-600-22-11-117−77−70−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+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+ζ83ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ55−ζ59+ζ67+ζ71−ζ79−ζ8300000000000000000000000000
χ4866-6-600-22-11-117−77−70−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+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+ζ8300000000000000000000000000
χ4966-6-600-22-11-11−77−770ζ2−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−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−ζ83−ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ55+ζ59−ζ67+ζ71+ζ79−ζ83ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ55−ζ59+ζ67−ζ71−ζ79+ζ8300000000000000000000000000
χ5066-6-600-22-11-11−77−770−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−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−ζ83−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ55+ζ59−ζ67−ζ71+ζ79+ζ8300000000000000000000000000
χ5166-6-600-22-11-11−77−770−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−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−ζ8300000000000000000000000000
χ5212-1212-120000-2-222−2i72i72i7−2i7000000000000000000000000000000000000000
χ5312-1212-120000-2-2222i7−2i7−2i72i7000000000000000000000000000000000000000
χ5412-12-121212i−12i00-222-2−2i−2i2i2i000000000000000000000000000000000000000
χ5512-12-1212−12i12i00-222-22i2i−2i−2i000000000000000000000000000000000000000

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