Finite Group Databasebeta

← Group #72218647

Character table — Group #72218647

Order 3360.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size13666672128282828412242424242884112112112112515303030303510514014014014051530303030351051401401401405153030303035105140140140140
order1271414142233665103570707010101515303022141414142266664428282828441212121244282828284412121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32
χ311111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32
χ4111111-1-111-1-1111111-1-111-1-1111111-1-111-1-1111111-1-111-1-1111111-1-111-1-1
χ5111111-1-1−1+i32−1−i321−i321+i32111111-1-1−1+i32−1−i321−i321+i32111111-1-1−1+i32−1−i321−i321+i32111111-1-1−1+i32−1−i321−i321+i32111111-1-1−1+i32−1−i321−i321+i32
χ6111111-1-1−1−i32−1+i321+i321−i32111111-1-1−1−i32−1+i321+i321−i32111111-1-1−1−i32−1+i321+i321−i32111111-1-1−1−i32−1+i321+i321−i32111111-1-1−1−i32−1+i321+i321−i32
χ73-13-1-1-13-100003-13-1-1-13-100003-13-1-1-13-100003-13-1-1-13-100003-13-1-1-13-10000
χ83-13-1-1-1-3100003-13-1-1-1-3100003-13-1-1-1-3100003-13-1-1-1-3100003-13-1-1-1-310000
χ966-1-1-1-100000066-1-1-1-100000066-1-1-1-100000066-1-1-1-100000066-1-1-1-1000000
χ106-2-1−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−ζ820000006-2-1−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−ζ820000006-2-1−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−ζ820000006-2-1−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−ζ820000006-2-1−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−ζ82000000
χ116-2-1ζ2−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−ζ820000006-2-1ζ2−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−ζ820000006-2-1ζ2−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−ζ820000006-2-1ζ2−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−ζ820000006-2-1ζ2−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−ζ82000000
χ126-2-1−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+ζ820000006-2-1−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+ζ820000006-2-1−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+ζ820000006-2-1−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+ζ820000006-2-1−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+ζ82000000
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1411111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32
χ1511111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32
χ16111111-1-111-1-1111111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ17111111-1-1−1+i32−1−i321−i321+i32111111-1-1−1+i32−1−i321−i321+i32111111-1-1−1+i32−1−i321−i321+i32-1-1-1-1-1-1111−i321+i32−1+i32−1−i32-1-1-1-1-1-1111−i321+i32−1+i32−1−i32
χ18111111-1-1−1−i32−1+i321+i321−i32111111-1-1−1−i32−1+i321+i321−i32111111-1-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1111+i321−i32−1−i32−1+i32-1-1-1-1-1-1111+i321−i32−1−i32−1+i32
χ193-13-1-1-13-100003-13-1-1-13-100003-13-1-1-13-10000-31-3111-310000-31-3111-310000
χ203-13-1-1-1-3100003-13-1-1-1-3100003-13-1-1-1-310000-31-31113-10000-31-31113-10000
χ2166-1-1-1-100000066-1-1-1-100000066-1-1-1-1000000-6-61111000000-6-61111000000
χ226-2-1−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−ζ820000006-2-1−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−ζ820000006-2-1−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−ζ82000000-621ζ2−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+ζ82000000-621ζ2−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+ζ82000000
χ236-2-1ζ2−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−ζ820000006-2-1ζ2−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−ζ820000006-2-1ζ2−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−ζ82000000-621−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+ζ82000000-621−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+ζ82000000
χ246-2-1−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+ζ820000006-2-1−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+ζ820000006-2-1−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+ζ82000000-621ζ2+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−ζ82000000-621ζ2+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−ζ82000000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i
χ2611111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−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−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ2711111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−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−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ28111111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111iiiiii−i−iii−i−i−i−i−i−i−i−iii−i−iii
χ29111111-1-1−1+i32−1−i321−i321+i32111111-1-1−1+i32−1−i321−i321+i32-1-1-1-1-1-1111−i321+i32−1+i32−1−i32iiiiii−i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i−i−i−i−i−iii−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ30111111-1-1−1−i32−1+i321+i321−i32111111-1-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1111+i321−i32−1−i32−1+i32iiiiii−i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i−i−i−i−i−iii−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ313-13-1-1-13-100003-13-1-1-13-10000-31-3111-3100003i−i3i−i−i−i3i−i0000−3ii−3iiii−3ii0000
χ323-13-1-1-1-3100003-13-1-1-1-310000-31-31113-100003i−i3i−i−i−i−3ii0000−3ii−3iiii3i−i0000
χ3366-1-1-1-100000066-1-1-1-1000000-6-611110000006i6i−i−i−i−i000000−6i−6iiiii000000
χ346-2-1−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−ζ820000006-2-1−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−ζ82000000-621ζ2−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+ζ820000006i−2i−iζ11−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+ζ83000000−6i2ii−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−ζ83000000
χ356-2-1ζ2−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−ζ820000006-2-1ζ2−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−ζ82000000-621−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+ζ820000006i−2i−i−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−ζ83000000−6i2iiζ11−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+ζ83000000
χ366-2-1−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+ζ820000006-2-1−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+ζ82000000-621ζ2+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−ζ820000006i−2i−i−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−ζ83000000−6i2iiζ11+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+ζ83000000
χ37111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii
χ3811111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32−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−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83iiiiiiiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ3911111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32−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−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79iiiiiiiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ40111111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111−i−i−i−i−i−iii−i−iiiiiiiii−i−iii−i−i
χ41111111-1-1−1+i32−1−i321−i321+i32111111-1-1−1+i32−1−i321−i321+i32-1-1-1-1-1-1111−i321+i32−1+i32−1−i32−i−i−i−i−i−iii−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83iiiiii−i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ42111111-1-1−1−i32−1+i321+i321−i32111111-1-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1111+i321−i32−1−i32−1+i32−i−i−i−i−i−iii−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79iiiiii−i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ433-13-1-1-13-100003-13-1-1-13-10000-31-3111-310000−3ii−3iiii−3ii00003i−i3i−i−i−i3i−i0000
χ443-13-1-1-1-3100003-13-1-1-1-310000-31-31113-10000−3ii−3iiii3i−i00003i−i3i−i−i−i−3ii0000
χ4566-1-1-1-100000066-1-1-1-1000000-6-61111000000−6i−6iiiii0000006i6i−i−i−i−i000000
χ466-2-1−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−ζ820000006-2-1−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−ζ82000000-621ζ2−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+ζ82000000−6i2ii−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−ζ830000006i−2i−iζ11−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+ζ83000000
χ476-2-1ζ2−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−ζ820000006-2-1ζ2−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−ζ82000000-621−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+ζ82000000−6i2iiζ11−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+ζ830000006i−2i−i−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−ζ83000000
χ486-2-1−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+ζ820000006-2-1−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+ζ82000000-621ζ2+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−ζ82000000−6i2iiζ11+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+ζ830000006i−2i−i−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−ζ83000000
χ49444444444444-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5044444444−2+2i3−2−2i3−2+2i3−2−2i3-1-1-1-1-1-1-1-11−i321+i321−i321+i32000000000000000000000000000000000000
χ5144444444−2−2i3−2+2i3−2−2i3−2+2i3-1-1-1-1-1-1-1-11+i321−i321+i321−i32000000000000000000000000000000000000
χ52444444-4-444-4-4-1-1-1-1-1-111-1-111000000000000000000000000000000000000
χ53444444-4-4−2+2i3−2−2i32−2i32+2i3-1-1-1-1-1-1111−i321+i32−1+i32−1−i32000000000000000000000000000000000000
χ54444444-4-4−2−2i3−2+2i32+2i32−2i3-1-1-1-1-1-1111+i321−i32−1−i32−1+i32000000000000000000000000000000000000
χ5512-412-4-4-412-40000-31-3111-310000000000000000000000000000000000000000
χ5612-412-4-4-4-1240000-31-31113-10000000000000000000000000000000000000000
χ572424-4-4-4-4000000-6-61111000000000000000000000000000000000000000000
χ5824-8-4−4ζ2+4ζ10−4ζ22−4ζ26−4ζ34+4ζ38+4ζ46−4ζ50−4ζ58−4ζ62+4ζ74−4ζ824ζ2−4ζ10−4ζ22+4ζ26−4ζ34−4ζ38−4ζ46−4ζ50+4ζ58−4ζ62−4ζ74+4ζ82−4ζ2−4ζ10+4ζ22−4ζ26+4ζ34−4ζ38−4ζ46+4ζ50−4ζ58+4ζ62−4ζ74−4ζ82000000-621ζ2−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+ζ82000000000000000000000000000000000000000000
χ5924-8-44ζ2−4ζ10−4ζ22+4ζ26−4ζ34−4ζ38−4ζ46−4ζ50+4ζ58−4ζ62−4ζ74+4ζ82−4ζ2−4ζ10+4ζ22−4ζ26+4ζ34−4ζ38−4ζ46+4ζ50−4ζ58+4ζ62−4ζ74−4ζ82−4ζ2+4ζ10−4ζ22−4ζ26−4ζ34+4ζ38+4ζ46−4ζ50−4ζ58−4ζ62+4ζ74−4ζ82000000-621−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+ζ82000000000000000000000000000000000000000000
χ6024-8-4−4ζ2−4ζ10+4ζ22−4ζ26+4ζ34−4ζ38−4ζ46+4ζ50−4ζ58+4ζ62−4ζ74−4ζ82−4ζ2+4ζ10−4ζ22−4ζ26−4ζ34+4ζ38+4ζ46−4ζ50−4ζ58−4ζ62+4ζ74−4ζ824ζ2−4ζ10−4ζ22+4ζ26−4ζ34−4ζ38−4ζ46−4ζ50+4ζ58−4ζ62−4ζ74+4ζ82000000-621ζ2+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−ζ82000000000000000000000000000000000000000000

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