Finite Group Databasebeta

← Group #13062185

Character table — Group #13062185

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111223333666666666666666666666666666666666614141414282828282828282842424242565656565656565656565656
order12442422442471414141414141414141414141414142828282828282828282828282828282822443366121212122244666666121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111−1−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
χ3111111111111111111111111111111111111111111111111−1+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
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-11-1-11-1-11-1-1
χ511111111111111111111111111111111111111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32
χ611111111111111111111111111111111111111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32
χ71111-1-11111-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-1111111111-11-1-11-1-11-1-11-1-11-1
χ81111-1-11111-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i32
χ91111-1-11111-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i32
χ101111-1-11111-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1111111111-11-11-1-11-1-11-1-11-1-11
χ111111-1-11111-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-111+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ121111-1-11111-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-111−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ1311-1-11-111-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11-1-1111-111-1-1-11-1-11
χ1411-1-11-111-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i32
χ1511-1-11-111-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i32
χ1611-1-11-111-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-11-111-11-11-1-11-1
χ1711-1-11-111-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1−1−i321+i32−1−i32−1+i321−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ1811-1-11-111-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1−1+i321−i32−1+i32−1−i321+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ1911-1-1-1111-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-111-1111-1-11-1-1
χ2011-1-1-1111-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-11+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ2111-1-1-1111-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-11−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ2211-1-1-1111-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ2311-1-1-1111-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ2411-1-1-1111-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ252-22i−2i002-22i−2i002222-2-2-200000000-22i2i2i2i−2i−2i−2i−2i00000000000022-2-22i−2i2i−2i0000000000000000
χ262-22i−2i002-22i−2i002222-2-2-200000000-22i2i2i2i−2i−2i−2i−2i000000000000−1−i3−1+i31+i31−i32ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ790000000000000000
χ272-22i−2i002-22i−2i002222-2-2-200000000-22i2i2i2i−2i−2i−2i−2i000000000000−1+i3−1−i31−i31+i32ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ830000000000000000
χ282-2−2i2i002-2−2i2i002222-2-2-200000000-2−2i−2i−2i−2i2i2i2i2i00000000000022-2-2−2i2i−2i2i0000000000000000
χ292-2−2i2i002-2−2i2i002222-2-2-200000000-2−2i−2i−2i−2i2i2i2i2i000000000000−1−i3−1+i31+i31−i3−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ790000000000000000
χ302-2−2i2i002-2−2i2i002222-2-2-200000000-2−2i−2i−2i−2i2i2i2i2i000000000000−1+i3−1−i31−i31+i3−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ830000000000000000
χ31333333-1-1-1-1-1-13-1-1-1-1-1-133-1-1-1-1-1-133-1-1-13-1-1-133-1-1-1-1-1-1333300000000-1-1-1-1000000000000
χ32333333-1-1-1-1-1-13-1-1-1-1-1-133-1-1-1-1-1-133-1-1-13-1-1-133-1-1-1-1-1-1-3-3-3-3000000001111000000000000
χ333333-3-3-1-1-1-1113-1-1-1-1-1-1-3-311111133-1-1-13-1-1-1-3-31111113-33-300000000-11-11000000000000
χ343333-3-3-1-1-1-1113-1-1-1-1-1-1-3-311111133-1-1-13-1-1-1-3-3111111-33-33000000001-11-1000000000000
χ3533-3-33-3-1-111-113-1-1-1-1-1-133-1-1-1-1-1-13-3111-3111-3-31111113-3-3300000000-111-1000000000000
χ3633-3-33-3-1-111-113-1-1-1-1-1-133-1-1-1-1-1-13-3111-3111-3-3111111-333-3000000001-1-11000000000000
χ3733-3-3-33-1-1111-13-1-1-1-1-1-1-3-31111113-3111-311133-1-1-1-1-1-133-3-300000000-1-111000000000000
χ3833-3-3-33-1-1111-13-1-1-1-1-1-1-3-31111113-3111-311133-1-1-1-1-1-1-3-3330000000011-1-1000000000000
χ39666666666666-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ40666666-2-2-2-2-2-2-1ζ2−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−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−ζ82-1-1ζ2−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−ζ82-1-1ζ2−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−ζ82-1ζ2−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−ζ82-1-1ζ2−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−ζ820000000000000000000000000000
χ41666666-2-2-2-2-2-2-1−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+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+ζ82-1-1−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−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+ζ82-1-1−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+ζ82-1−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+ζ82-1-1−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−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+ζ820000000000000000000000000000
χ42666666-2-2-2-2-2-2-1−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−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−ζ82-1-1−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+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−ζ82-1-1−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−ζ82-1−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−ζ82-1-1−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+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
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χ696-6−6i6i00-222i−2i00-1−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+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−i7i7−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+ζ821iζ11+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−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−ζ83−77ζ11−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+ζ830000000000000000000000000000
χ706-6−6i6i00-222i−2i00-1−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+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−ζ82i7−i7ζ2−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−ζ821iζ11+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−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−ζ837−7−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−ζ830000000000000000000000000000
χ716-6−6i6i00-222i−2i00-1−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−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−i7i7−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−ζ821i−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−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+ζ83−77−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−ζ830000000000000000000000000000
χ726-6−6i6i00-222i−2i00-1−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−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+ζ82i7−i7ζ2+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+ζ821i−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−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+ζ837−7ζ11+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+ζ830000000000000000000000000000

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