Finite Group Databasebeta

← Group #14517388

Character table — Group #14517388

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103
size11111122233336666666666666699999999999918181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181854545454545454545454545454545454
order12336641212336633366612121212121212129999991818181818182233366666669999991212121212121818181818183636363636363636363636363636363636366666181818181818181818181818
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1111-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+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
χ4111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1111-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ5111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−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
χ6111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1111-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ7111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ8111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11−1−i32−1+i32-1-1-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32
χ9111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32
χ10111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32-1-11−1−i32−1+i32-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32
χ11111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i3211111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211
χ12111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321-1-11−1−i32−1+i32-1-1-1-11−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1
χ13111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ14111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−1+i32−1−i32-1-1-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ15111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i3211111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211
χ16111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321-1-11−1+i32−1−i32-1-1-1-11−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i321+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-1
χ17111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32
χ18111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32-1-11−1+i32−1−i32-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32
χ19111111-1-1-11111111111-1-1-1-1-1-1-1-11111111111111-111111-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ20111111-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-11111-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ21111111-1-1-11111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-111111-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-11-1−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ22111111-1-1-11111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11111-1-111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11-111+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ23111111-1-1-11111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-111111-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-11-1−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ24111111-1-1-11111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11111-1-111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11-111−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ25111111-1-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321-11−1−i32−1+i3211-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32
χ26111111-1-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-111−1−i32−1+i32-1-1111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32
χ27111111-1-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321-11−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-11+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321−i32-11−i32-11+i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321-1−1+i321−i321-1−1−i321+i32
χ28111111-1-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32-111−1−i32−1+i32-1-1111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-11+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321−i32-11−i32-11+i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-111−i32−1+i32-111+i32−1−i32
χ29111111-1-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211-11−1−i32−1+i3211-1-11−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-11+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i32-11+i321+i321−i32-11−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1−1−i321+i32−1+i321−i32−1+i321−i321-1−1−i321+i32−1−i321+i32−1+i321−i321-1
χ30111111-1-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321-111−1−i32−1+i32-1-1111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-11+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i32-11+i321+i321−i32-11−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11+i32−1−i321−i32−1+i321−i32−1+i32-111+i32−1−i321+i32−1−i321−i32−1+i32-11
χ31111111-1-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321-11−1+i32−1−i3211-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32
χ32111111-1-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-111−1+i32−1−i32-1-1111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32
χ33111111-1-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211-11−1+i32−1−i3211-1-11−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-11−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i3211+i32-11−i321−i321+i32-11+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-1−1+i321−i32−1−i321+i32−1−i321+i321-1−1+i321−i32−1+i321−i32−1−i321+i321-1
χ34111111-1-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321-111−1+i32−1−i32-1-1111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-11−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i3211+i32-11−i321−i321+i32-11+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-11−i32−1+i321+i32−1−i321+i32−1−i32-111−i32−1+i321−i32−1+i321+i32−1−i32-11
χ35111111-1-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321-11−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-11+i32-11−i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321-1−1−i321+i321-1−1+i321−i32
χ36111111-1-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32-111−1+i32−1−i32-1-1111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-11+i32-11−i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-111+i32−1−i32-111−i32−1+i32
χ3722222222222222222222222222222222222222200-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ38222222222222222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-1-1-10000-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i320000000000000000
χ39222222222222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-1-1-10000-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i320000000000000000
χ40222222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i300-11+i321−i320000-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-11+i321−i322−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i320000000000000000
χ41222222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32−1+i32−1−i300-11+i321−i320000-11+i321−i321+i321−i32-11−i32-11+i32-1-11+i321+i321−i321−i321+i321−i32-11−i32-11+i32−1−i3−1+i32−1+i32−1−i31+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i320000000000000000
χ42222222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i3200-11+i321−i320000-11+i321−i321−i32-11+i321+i321−i32-1-1-11+i321+i321−i321−i321−i32-11+i321+i321−i32-1−1+i32−1−i3−1−i3−1+i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-10000000000000000
χ43222222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i300-11−i321+i320000-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-11−i321+i322−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i320000000000000000
χ44222222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i3200-11−i321+i320000-11−i321+i321+i32-11−i321−i321+i32-1-1-11−i321−i321+i321+i321+i32-11−i321−i321+i32-1−1−i32−1+i3−1+i3−1−i321+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-10000000000000000
χ45222222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32−1−i32−1+i300-11−i321+i320000-11−i321+i321−i321+i32-11+i32-11−i32-1-11−i321−i321+i321+i321−i321+i32-11+i32-11−i32−1+i3−1−i32−1−i32−1+i31−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i320000000000000000
χ46222222-2-2-22222222222-2-2-2-2-2-2-2-222222222222200-1-1-10000-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ47222222-2-2-22222222222-2-2-2-2-2-2-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-1-1-10000-1-1-11+i321+i321+i321−i321−i321−i321111111+i321+i321+i321−i321−i321−i321+i31+i31+i31−i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000000000
χ48222222-2-2-22222222222-2-2-2-2-2-2-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-1-1-10000-1-1-11−i321−i321−i321+i321+i321+i321111111−i321−i321−i321+i321+i321+i321−i31−i31−i31+i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000000000
χ49222222-2-2-2−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i31−i3-2-21+i31+i31−i31−i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i300-11+i321−i320000-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32-11+i321−i32-21+i31−i3-21+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i320000000000000000
χ50222222-2-2-2−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i31−i3-2-21+i31+i31−i31−i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32−1+i32−1−i300-11+i321−i320000-11+i321−i321+i321−i32-11−i32-11+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32-11−i32-11+i321+i31−i3-21−i3-21+i3−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i320000000000000000
χ51222222-2-2-2−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i31−i3-2-21+i31+i31−i31−i3−1+i32−1−i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i3200-11+i321−i320000-11+i321−i321−i32-11+i321+i321−i32-111−1−i32−1−i32−1+i32−1+i321−i32-11+i321+i321−i32-11−i3-21+i31+i31−i3-2−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32110000000000000000
χ52222222-2-2-2−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31−i31+i3-2-21−i31−i31+i31+i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i300-11−i321+i320000-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32-11−i321+i32-21−i31+i3-21−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i320000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.