Finite Group Databasebeta

← Group #10621530

Character table — Group #10621530

Order 672.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size112222222222222444466888888888888888888888888881212121212121414424256565656
order124777141414282828282828336624121221212121212142424242424284848484848484848484848414141428282822446666
χ11111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32
χ4111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111-1-1-1-11+i321+i321−i321−i32
χ5111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32
χ6111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111-1-1-1-11−i321−i321+i321+i32
χ711-1111111-1-1-1-1-1-11111-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1
χ811-1111111-1-1-1-1-1-11111-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-11-11
χ911-1111111-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i32−1−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−i321−i321−i321−i32-1-1-11111-11-1−1−i321+i32−1+i321−i32
χ1011-1111111-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i32−1−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−i321−i321−i321−i32-1-1-1111-11-111+i32−1−i321−i32−1+i32
χ1111-1111111-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i32−1+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+i321+i321+i321+i32-1-1-11111-11-1−1+i321−i32−1−i321+i32
χ1211-1111111-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i32−1+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+i321+i321+i321+i32-1-1-1111-11-111−i32−1+i321+i32−1−i32
χ13222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ7422222222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7400000000
χ14222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ2−ζ26−ζ50−ζ62−ζ50−ζ62−ζ38−ζ74−ζ38−ζ74−ζ58−ζ82−ζ58−ζ82−ζ22−ζ34−ζ22−ζ34−ζ10−ζ46−ζ10−ζ46ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7400000000
χ15222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ58−ζ82−ζ22−ζ34−ζ22−ζ34−ζ10−ζ46−ζ10−ζ46−ζ2−ζ26−ζ2−ζ26−ζ50−ζ62−ζ50−ζ62−ζ38−ζ74−ζ38−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7400000000
χ16222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ8222222222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8200000000
χ17222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ50−ζ62−ζ38−ζ74−ζ38−ζ74−ζ2−ζ26−ζ2−ζ26−ζ22−ζ34−ζ22−ζ34−ζ10−ζ46−ζ10−ζ46−ζ58−ζ82−ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8200000000
χ18222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ22−ζ34−ζ10−ζ46−ζ10−ζ46−ζ58−ζ82−ζ58−ζ82−ζ50−ζ62−ζ50−ζ62−ζ38−ζ74−ζ38−ζ74−ζ2−ζ26−ζ2−ζ26ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8200000000
χ19222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ6222222222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6200000000
χ20222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34−ζ38−ζ74−ζ38−ζ74−ζ2−ζ26−ζ2−ζ26−ζ50−ζ62−ζ50−ζ62−ζ10−ζ46−ζ10−ζ46−ζ58−ζ82−ζ58−ζ82−ζ22−ζ34−ζ22−ζ34ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6200000000
χ21222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62−ζ10−ζ46−ζ10−ζ46−ζ58−ζ82−ζ58−ζ82−ζ22−ζ34−ζ22−ζ34−ζ38−ζ74−ζ38−ζ74−ζ2−ζ26−ζ2−ζ26−ζ50−ζ62−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6200000000
χ2222-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ742222-22-2-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7400000000
χ2322-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−1−i3−1+i3−1−i3−1+i3-221+i31−i3−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46ζ2+ζ26ζ2+ζ26ζ50+ζ62ζ50+ζ62ζ38+ζ74ζ38+ζ74ζ58+ζ82ζ58+ζ82ζ22+ζ34ζ22+ζ34ζ10+ζ46ζ10+ζ46−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7400000000
χ2422-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−1+i3−1−i3−1+i3−1−i3-221−i31+i3−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74−ζ58−ζ82−ζ22−ζ34−ζ10−ζ46−ζ2−ζ26−ζ50−ζ62−ζ38−ζ74ζ58+ζ82ζ58+ζ82ζ22+ζ34ζ22+ζ34ζ10+ζ46ζ10+ζ46ζ2+ζ26ζ2+ζ26ζ50+ζ62ζ50+ζ62ζ38+ζ74ζ38+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7400000000
χ2522-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ822222-22-2-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8200000000
χ2622-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−1−i3−1+i3−1−i3−1+i3-221+i31−i3−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82ζ50+ζ62ζ50+ζ62ζ38+ζ74ζ38+ζ74ζ2+ζ26ζ2+ζ26ζ22+ζ34ζ22+ζ34ζ10+ζ46ζ10+ζ46ζ58+ζ82ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8200000000
χ2722-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−1+i3−1−i3−1+i3−1−i3-221−i31+i3−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26−ζ22−ζ34−ζ10−ζ46−ζ58−ζ82−ζ50−ζ62−ζ38−ζ74−ζ2−ζ26ζ22+ζ34ζ22+ζ34ζ10+ζ46ζ10+ζ46ζ58+ζ82ζ58+ζ82ζ50+ζ62ζ50+ζ62ζ38+ζ74ζ38+ζ74ζ2+ζ26ζ2+ζ26−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8200000000
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χ524-402ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ11−2ζ31−2ζ59+2ζ67−2ζ11+2ζ31+2ζ59−2ζ67−2ζ19+2ζ23−2ζ47+2ζ792ζ19−2ζ23+2ζ47−2ζ792ζ43−2ζ55+2ζ71−2ζ83−2ζ43+2ζ55−2ζ71+2ζ831−i31+i3−1+i3−1−i30000ζ10+ζ46ζ58+ζ82ζ22+ζ34ζ38+ζ74ζ2+ζ26ζ50+ζ62−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62ζ31−ζ67−ζ31+ζ67ζ19−ζ79−ζ19+ζ79−ζ43+ζ55ζ43−ζ55−ζ11+ζ59ζ11−ζ59−ζ23+ζ47ζ23−ζ47−ζ71+ζ83ζ71−ζ8300000000000000
χ534-402ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ11+2ζ31+2ζ59−2ζ672ζ11−2ζ31−2ζ59+2ζ672ζ19−2ζ23+2ζ47−2ζ79−2ζ19+2ζ23−2ζ47+2ζ79−2ζ43+2ζ55−2ζ71+2ζ832ζ43−2ζ55+2ζ71−2ζ83-2-2220000−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ8300000000000000
χ544-402ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ11+2ζ31+2ζ59−2ζ672ζ11−2ζ31−2ζ59+2ζ672ζ19−2ζ23+2ζ47−2ζ79−2ζ19+2ζ23−2ζ47+2ζ79−2ζ43+2ζ55−2ζ71+2ζ832ζ43−2ζ55+2ζ71−2ζ831+i31−i3−1−i3−1+i30000ζ38+ζ74ζ2+ζ26ζ50+ζ62ζ10+ζ46ζ58+ζ82ζ22+ζ34−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34ζ11−ζ59−ζ11+ζ59ζ23−ζ47−ζ23+ζ47ζ71−ζ83−ζ71+ζ83−ζ31+ζ67ζ31−ζ67−ζ19+ζ79ζ19−ζ79ζ43−ζ55−ζ43+ζ5500000000000000
χ554-402ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ11+2ζ31+2ζ59−2ζ672ζ11−2ζ31−2ζ59+2ζ672ζ19−2ζ23+2ζ47−2ζ79−2ζ19+2ζ23−2ζ47+2ζ79−2ζ43+2ζ55−2ζ71+2ζ832ζ43−2ζ55+2ζ71−2ζ831−i31+i3−1+i3−1−i30000ζ10+ζ46ζ58+ζ82ζ22+ζ34ζ38+ζ74ζ2+ζ26ζ50+ζ62−ζ10−ζ46−ζ58−ζ82−ζ22−ζ34−ζ38−ζ74−ζ2−ζ26−ζ50−ζ62−ζ31+ζ67ζ31−ζ67−ζ19+ζ79ζ19−ζ79ζ43−ζ55−ζ43+ζ55ζ11−ζ59−ζ11+ζ59ζ23−ζ47−ζ23+ζ47ζ71−ζ83−ζ71+ζ8300000000000000
χ566663ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ10+3ζ38+3ζ46+3ζ740000-2-200000000000000000000000000−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ7400000000
χ576663ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ2+3ζ26+3ζ58+3ζ820000-2-200000000000000000000000000−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ8200000000
χ586663ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ22+3ζ34+3ζ50+3ζ620000-2-200000000000000000000000000−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ6200000000
χ5966-63ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ7400002-200000000000000000000000000ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ7400000000
χ6066-63ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ8200002-200000000000000000000000000ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ8200000000
χ6166-63ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ6200002-200000000000000000000000000ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ6200000000

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