Finite Group Databasebeta

← Group #13057640

Character table — Group #13057640

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1166677121212282828282828282842116667712121228282828282828284211666771212122828282828282828421166677121212282828282828282842
order124714222828283366666644442828442828281212121212121212422414142228282866666666444428284428282812121212121212124
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321
χ31111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321
χ411111-1-1111111-1-11-1-1-111111-1-1111111-1-11-1-1-111111-1-1111111-1-11-1-1-111111-1-1111111-1-11-1-1-1
χ511111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1
χ611111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1
χ72-202-22-2000-1-111-111-102-202-22-2000-1-111-111-102-202-22-2000-1-111-111-102-202-22-2000-1-111-111-10
χ82-202-22-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i3202-202-22-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i3202-202-22-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i3202-202-22-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i320
χ92-202-22-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3202-202-22-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3202-202-22-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3202-202-22-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i320
χ102-202-2-22000-1-11-111-1102-202-2-22000-1-11-111-1102-202-2-22000-1-11-111-1102-202-2-22000-1-11-111-110
χ112-202-2-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i3202-202-2-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i3202-202-2-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i3202-202-2-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i320
χ122-202-2-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i3202-202-2-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i3202-202-2-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i3202-202-2-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i320
χ1333-13333-1-1-100000000-133-13333-1-1-100000000-133-13333-1-1-100000000-133-13333-1-1-100000000-1
χ1433-133-3-3-1-1-100000000133-133-3-3-1-1-100000000133-133-3-3-1-1-100000000133-133-3-3-1-1-1000000001
χ15666-1-100-1-1-1000000000666-1-100-1-1-1000000000666-1-100-1-1-1000000000666-1-100-1-1-1000000000
χ1666-2-1-100−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−ζ8200000000066-2-1-100−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−ζ8200000000066-2-1-100−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−ζ8200000000066-2-1-100−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−ζ82000000000
χ1766-2-1-100ζ2−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−ζ8200000000066-2-1-100ζ2−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−ζ8200000000066-2-1-100ζ2−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−ζ8200000000066-2-1-100ζ2−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−ζ82000000000
χ1866-2-1-100−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+ζ8200000000066-2-1-100−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+ζ8200000000066-2-1-100−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+ζ8200000000066-2-1-100−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+ζ82000000000
χ1912-120-220000000000000012-120-220000000000000012-120-220000000000000012-120-2200000000000000
χ201111111111111111111iiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ211111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321iiiiiiiiiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1−i−i−i−i−i−i−i−i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i
χ221111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321iiiiiiiiiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79i-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1−i−i−i−i−i−i−i−i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i
χ2311111-1-1111111-1-11-1-1-1iiiii−i−iiiiiii−i−ii−i−i−i-1-1-1-1-111-1-1-1-1-1-111-1111−i−i−i−i−iii−i−i−i−i−i−iii−iiii
χ2411111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1iiiii−i−iiiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i-1-1-1-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321−i−i−i−i−iii−i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i
χ2511111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1iiiii−i−iiiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i-1-1-1-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i−i−i−i−iii−i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79i
χ262-202-22-2000-1-111-111-102i−2i02i−2i2i−2i000−i−iii−iii−i0-220-22-2200011-1-11-1-110−2i2i0−2i2i−2i2i000ii−i−ii−i−ii0
χ272-202-22-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i3202i−2i02i−2i2i−2i000−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ830-220-22-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i320−2i2i0−2i2i−2i2i000ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ830
χ282-202-22-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3202i−2i02i−2i2i−2i000−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ790-220-22-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i320−2i2i0−2i2i−2i2i000ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ790
χ292-202-2-22000-1-11-111-1102i−2i02i−2i−2i2i000−i−ii−iii−ii0-220-222-200011-11-1-11-10−2i2i0−2i2i2i−2i000ii−ii−i−ii−i0
χ302-202-2-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i3202i−2i02i−2i−2i2i000−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+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−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ830-220-222-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i320−2i2i0−2i2i2i−2i000ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−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+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ830
χ312-202-2-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i3202i−2i02i−2i−2i2i000−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+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−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ790-220-222-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i320−2i2i0−2i2i2i−2i000ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−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+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ790
χ3233-13333-1-1-100000000-13i3i−i3i3i3i3i−i−i−i00000000−i-3-31-3-3-3-3111000000001−3i−3ii−3i−3i−3i−3iiii00000000i
χ3333-133-3-3-1-1-10000000013i3i−i3i3i−3i−3i−i−i−i00000000i-3-31-3-33311100000000-1−3i−3ii−3i−3i3i3iiii00000000−i
χ34666-1-100-1-1-10000000006i6i6i−i−i00−i−i−i000000000-6-6-61100111000000000−6i−6i−6iii00iii000000000
χ3566-2-1-100−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−ζ820000000006i6i−2i−i−i00ζ11−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+ζ83000000000-6-621100ζ2−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+ζ82000000000−6i−6i2iii00−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−ζ83000000000
χ3666-2-1-100ζ2−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−ζ820000000006i6i−2i−i−i00−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−ζ83000000000-6-621100−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+ζ82000000000−6i−6i2iii00ζ11−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+ζ83000000000
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χ391111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ401111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-11111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1
χ411111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-11111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1
χ4211111-1-1111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111-111111111-1-1111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1111
χ4311111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-1-1-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32111111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-1-1-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321
χ4411111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-1-1-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32111111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-1-1-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321
χ452-202-22-2000-1-111-111-10-220-22-2200011-1-11-1-1102-202-22-2000-1-111-111-10-220-22-2200011-1-11-1-110
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χ472-202-22-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i320-220-22-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3202-202-22-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i320-220-22-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i320
χ482-202-2-22000-1-11-111-110-220-222-200011-11-1-11-102-202-2-22000-1-11-111-110-220-222-200011-11-1-11-10
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χ502-202-2-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i320-220-222-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3202-202-2-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i320-220-222-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i320
χ5133-13333-1-1-100000000-1-3-31-3-3-3-311100000000133-13333-1-1-100000000-1-3-31-3-3-3-3111000000001
χ5233-133-3-3-1-1-1000000001-3-31-3-33311100000000-133-133-3-3-1-1-1000000001-3-31-3-33311100000000-1
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χ581111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiii
χ591111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i−i−i−i−i−i−i−i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1iiiiiiiiiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i
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χ6111111-1-1111111-1-11-1-1-1−i−i−i−i−iii−i−i−i−i−i−iii−iiii-1-1-1-1-111-1-1-1-1-1-111-1111iiiii−i−iiiiiii−i−ii−i−i−i
χ6211111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1−i−i−i−i−iii−i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i-1-1-1-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321iiiii−i−iiiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i
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χ642-202-22-2000-1-111-111-10−2i2i0−2i2i−2i2i000ii−i−ii−i−ii0-220-22-2200011-1-11-1-1102i−2i02i−2i2i−2i000−i−iii−iii−i0
χ652-202-22-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i320−2i2i0−2i2i−2i2i000ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ830-220-22-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3202i−2i02i−2i2i−2i000−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ830
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χ672-202-2-22000-1-11-111-110−2i2i0−2i2i2i−2i000ii−ii−i−ii−i0-220-222-200011-11-1-11-102i−2i02i−2i−2i2i000−i−ii−iii−ii0
χ682-202-2-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i320−2i2i0−2i2i2i−2i000ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−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+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ830-220-222-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3202i−2i02i−2i−2i2i000−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+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−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ830
χ692-202-2-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i320−2i2i0−2i2i2i−2i000ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−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+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ790-220-222-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3202i−2i02i−2i−2i2i000−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+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−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ790
χ7033-13333-1-1-100000000-1−3i−3ii−3i−3i−3i−3iiii00000000i-3-31-3-3-3-31110000000013i3i−i3i3i3i3i−i−i−i00000000−i
χ7133-133-3-3-1-1-1000000001−3i−3ii−3i−3i3i3iiii00000000−i-3-31-3-33311100000000-13i3i−i3i3i−3i−3i−i−i−i00000000i
χ72666-1-100-1-1-1000000000−6i−6i−6iii00iii000000000-6-6-611001110000000006i6i6i−i−i00−i−i−i000000000
χ7366-2-1-100−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−ζ82000000000−6i−6i2iii00−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−ζ83000000000-6-621100ζ2−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+ζ820000000006i6i−2i−i−i00ζ11−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+ζ83000000000
χ7466-2-1-100ζ2−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−ζ82000000000−6i−6i2iii00ζ11−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+ζ83000000000-6-621100−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+ζ820000000006i6i−2i−i−i00−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−ζ83000000000
χ7566-2-1-100−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+ζ82000000000−6i−6i2iii00ζ11+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+ζ83000000000-6-621100ζ2+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−ζ820000000006i6i−2i−i−i00−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−ζ83000000000
χ7612-120-2200000000000000−12i12i02i−2i00000000000000-121202-20000000000000012i−12i0−2i2i00000000000000

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