Finite Group Databasebeta

← Group #72277823

Character table — Group #72277823

Order 2688.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1133666666666666812121212121212121212121214242424242424242424424242424256112112112112168224224224224224224
order1222222271414141414141441414141414141414141414142428282828282828282222223366466661212
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ3111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ411111111111111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-111
χ511111111111111111111111111111-1111111111-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11+i321+i321−i321−i32−1−i32−1+i32
χ611111111111111111111111111111-1111111111-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−i321−i321+i321+i32−1+i32−1−i32
χ71111111111111111-11111111111111-1-1-1-1-1-1-1-1-111111-11111-11-11-1-1-1
χ81111111111111111-11111111111111-1-1-1-1-1-1-1-1-111111-1−1−i32−1+i32−1−i32−1+i32-1−1−i321+i32−1+i321−i321+i321−i32
χ91111111111111111-11111111111111-1-1-1-1-1-1-1-1-111111-1−1+i32−1−i32−1+i32−1−i32-1−1+i321−i32−1−i321+i321−i321+i32
χ101111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-1
χ111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1+i3211+i32−1−i321−i32−1+i321+i321−i32
χ121111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1−i3211−i32−1+i321+i32−1−i321−i321+i32
χ132-2-2222-2-22222-2-2-2-20222222-2-2-2-2-2-2000000000000000022-2-20000000
χ142-2-2222-2-22222-2-2-2-20222222-2-2-2-2-2-20000000000000000−1−i3−1+i31+i31−i30000000
χ152-2-2222-2-22222-2-2-2-20222222-2-2-2-2-2-20000000000000000−1+i3−1−i31−i31+i30000000
χ163333-1-1-1-1333333333-1-1-1-1-1-1-1-1-1-1-1-13-133-1-1-1-1-1-13-1-1-1-130000-1000000
χ173333-1-1-1-1333333333-1-1-1-1-1-1-1-1-1-1-1-1-3-133-1-1-1-1-1-1-31111-300001000000
χ183333-1-1-1-133333333-3-1-1-1-1-1-1-1-1-1-1-1-131-3-31111113-1-1-1-1-300001000000
χ193333-1-1-1-133333333-3-1-1-1-1-1-1-1-1-1-1-1-1-31-3-3111111-3111130000-1000000
χ2066666666-1-1-1-1-1-1-1-16-1-1-1-1-1-1-1-1-1-1-1-106-1-1-1-1-1-1-1-100000000000000000
χ2166666666-1-1-1-1-1-1-1-1-6-1-1-1-1-1-1-1-1-1-1-1-10-61111111100000000000000000
χ226666-2-2-2-2-1-1-1-1-1-1-1-16ζ2−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+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−ζ820-2-1-1ζ2−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−ζ8200000000000000000
χ236666-2-2-2-2-1-1-1-1-1-1-1-16−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−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+ζ820-2-1-1−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+ζ8200000000000000000
χ246666-2-2-2-2-1-1-1-1-1-1-1-16−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−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−ζ820-2-1-1−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−ζ8200000000000000000
χ256666-2-2-2-2-1-1-1-1-1-1-1-1-6ζ2−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+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−ζ820211−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+ζ8200000000000000000
χ266666-2-2-2-2-1-1-1-1-1-1-1-1-6−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−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+ζ820211ζ2+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−ζ8200000000000000000
χ276666-2-2-2-2-1-1-1-1-1-1-1-1-6−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−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−ζ820211ζ2−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+ζ8200000000000000000
χ2866-2-22-22-26-2-2-26-2-2-202-22-22-22-22-22-26000000000-222-2-2000000000000
χ2966-2-22-22-26-2-2-26-2-2-202-22-22-22-22-22-2-60000000002-2-222000000000000
χ3066-2-2-22-226-2-2-26-2-2-20-22-22-22-22-22-226000000000-2-2-222000000000000
χ3166-2-2-22-226-2-2-26-2-2-20-22-22-22-22-22-22-6000000000222-2-2000000000000
χ326-62-22-2-226-2-2-2-622202-22-22-2-22-22-22000000000004-400000000000000
χ336-62-22-2-226-2-2-2-622202-22-22-2-22-22-2200000000000-4400000000000000
χ346-62-2-222-26-2-2-2-62220-22-22-222-22-22-200000000000004-4000000000000
χ356-62-2-222-26-2-2-2-62220-22-22-222-22-22-20000000000000-44000000000000
χ366-6-6666-6-6-1-1-1-111110-1-1-1-1-1-1111111007−77−77−77−700000000000000000
χ376-6-6666-6-6-1-1-1-111110-1-1-1-1-1-111111100−77−77−77−7700000000000000000
χ386-6-66-2-2226666-6-6-6-60-2-2-2-2-2-2222222000000000000000000000000000
χ396-6-66-2-222-1-1-1-111110ζ2−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−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+ζ82007−7−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−ζ8300000000000000000
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χ416-6-66-2-222-1-1-1-111110−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+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−ζ82007−7−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−ζ8300000000000000000
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χ5212-124-44-4-44-2−2ζ2−2ζ10+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46+2ζ50−2ζ58+2ζ62−2ζ74−2ζ82−2ζ2+2ζ10−2ζ22−2ζ26−2ζ34+2ζ38+2ζ46−2ζ50−2ζ58−2ζ62+2ζ74−2ζ822ζ2−2ζ10−2ζ22+2ζ26−2ζ34−2ζ38−2ζ46−2ζ50+2ζ58−2ζ62−2ζ74+2ζ8222ζ2+2ζ10−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46−2ζ50+2ζ58−2ζ62+2ζ74+2ζ822ζ2−2ζ10+2ζ22+2ζ26+2ζ34−2ζ38−2ζ46+2ζ50+2ζ58+2ζ62−2ζ74+2ζ82−2ζ2+2ζ10+2ζ22−2ζ26+2ζ34+2ζ38+2ζ46+2ζ50−2ζ58+2ζ62+2ζ74−2ζ8202ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ622ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82000000000000000000000000000
χ5312-124-44-4-44-2−2ζ2+2ζ10−2ζ22−2ζ26−2ζ34+2ζ38+2ζ46−2ζ50−2ζ58−2ζ62+2ζ74−2ζ822ζ2−2ζ10−2ζ22+2ζ26−2ζ34−2ζ38−2ζ46−2ζ50+2ζ58−2ζ62−2ζ74+2ζ82−2ζ2−2ζ10+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46+2ζ50−2ζ58+2ζ62−2ζ74−2ζ8222ζ2−2ζ10+2ζ22+2ζ26+2ζ34−2ζ38−2ζ46+2ζ50+2ζ58+2ζ62−2ζ74+2ζ82−2ζ2+2ζ10+2ζ22−2ζ26+2ζ34+2ζ38+2ζ46+2ζ50−2ζ58+2ζ62+2ζ74−2ζ822ζ2+2ζ10−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46−2ζ50+2ζ58−2ζ62+2ζ74+2ζ8202ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62000000000000000000000000000
χ5412-124-4-444-4-22ζ2−2ζ10−2ζ22+2ζ26−2ζ34−2ζ38−2ζ46−2ζ50+2ζ58−2ζ62−2ζ74+2ζ82−2ζ2−2ζ10+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46+2ζ50−2ζ58+2ζ62−2ζ74−2ζ82−2ζ2+2ζ10−2ζ22−2ζ26−2ζ34+2ζ38+2ζ46−2ζ50−2ζ58−2ζ62+2ζ74−2ζ822−2ζ2+2ζ10+2ζ22−2ζ26+2ζ34+2ζ38+2ζ46+2ζ50−2ζ58+2ζ62+2ζ74−2ζ822ζ2+2ζ10−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46−2ζ50+2ζ58−2ζ62+2ζ74+2ζ822ζ2−2ζ10+2ζ22+2ζ26+2ζ34−2ζ38−2ζ46+2ζ50+2ζ58+2ζ62−2ζ74+2ζ820−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ622ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74000000000000000000000000000
χ5512-124-4-444-4-2−2ζ2−2ζ10+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46+2ζ50−2ζ58+2ζ62−2ζ74−2ζ82−2ζ2+2ζ10−2ζ22−2ζ26−2ζ34+2ζ38+2ζ46−2ζ50−2ζ58−2ζ62+2ζ74−2ζ822ζ2−2ζ10−2ζ22+2ζ26−2ζ34−2ζ38−2ζ46−2ζ50+2ζ58−2ζ62−2ζ74+2ζ8222ζ2+2ζ10−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46−2ζ50+2ζ58−2ζ62+2ζ74+2ζ822ζ2−2ζ10+2ζ22+2ζ26+2ζ34−2ζ38−2ζ46+2ζ50+2ζ58+2ζ62−2ζ74+2ζ82−2ζ2+2ζ10+2ζ22−2ζ26+2ζ34+2ζ38+2ζ46+2ζ50−2ζ58+2ζ62+2ζ74−2ζ820−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ622ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82000000000000000000000000000
χ5612-124-4-444-4-2−2ζ2+2ζ10−2ζ22−2ζ26−2ζ34+2ζ38+2ζ46−2ζ50−2ζ58−2ζ62+2ζ74−2ζ822ζ2−2ζ10−2ζ22+2ζ26−2ζ34−2ζ38−2ζ46−2ζ50+2ζ58−2ζ62−2ζ74+2ζ82−2ζ2−2ζ10+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46+2ζ50−2ζ58+2ζ62−2ζ74−2ζ8222ζ2−2ζ10+2ζ22+2ζ26+2ζ34−2ζ38−2ζ46+2ζ50+2ζ58+2ζ62−2ζ74+2ζ82−2ζ2+2ζ10+2ζ22−2ζ26+2ζ34+2ζ38+2ζ46+2ζ50−2ζ58+2ζ62+2ζ74−2ζ822ζ2+2ζ10−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46−2ζ50+2ζ58−2ζ62+2ζ74+2ζ820−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62000000000000000000000000000

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