Finite Group Databasebeta

← Group #13060717

Character table — Group #13060717

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size11112222222222223333333344444444466666666666666666666666677777777121212121212121212121212121212121212141414141414141414141414141414141414141414141414282828282828282828282828282828282828
order1222444444444444771414141414142244444442828282828282828282828282828282828282828282828283366666614141414282828282828282828282828282812121212121212121212121212121212121212121212121266661212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111−1−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−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
χ3111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111111111−1+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+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
χ4111111111111-1-1-1-1111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-1-1-111-1-1-1-1
χ5111111111111-1-1-1-1111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i321+i32−1+i321−i321+i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32
χ6111111111111-1-1-1-1111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i321−i32−1−i321+i321−i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32
χ71111111111-1-111-1-111111111-11-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-111-1-1-11-11-1-1-1-111-1-1-1-111-1-1
χ81111111111-1-111-1-111111111-11-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321+i32−1−i321−i32−1+i321+i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32
χ91111111111-1-111-1-111111111-11-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321−i32−1+i321+i32−1−i321−i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32
χ101111111111-1-1-1-11111111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ111111111111-1-1-1-11111111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32
χ121111111111-1-1-1-11111111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32
χ13111111-1-1-1-111111111111111-1-1-11-11-11-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-11-11-11-11-11-11-1
χ14111111-1-1-1-111111111111111-1-1-11-11-11-11111-1-1-1-1-1-1-1-1111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-111-1-111-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ15111111-1-1-1-111111111111111-1-1-11-11-11-11111-1-1-1-1-1-1-1-1111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-111-1-111-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ16111111-1-1-1-111-1-1-1-111111111-1111-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-11111-1-11-111-1-11-11
χ17111111-1-1-1-111-1-1-1-111111111-1111-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111111-1-1-1-111-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ18111111-1-1-1-111-1-1-1-111111111-1111-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111111-1-1-1-111-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ19111111-1-1-1-1-1-111-1-1111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-11-11-111-111-1-11-111-1-11
χ20111111-1-1-1-1-1-111-1-1111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-11111-1-1-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ21111111-1-1-1-1-1-111-1-1111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-11111-1-1-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ22111111-1-1-1-1-1-1-1-1111111111111-1-11-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11-111-1-11-111-1
χ23111111-1-1-1-1-1-1-1-1111111111111-1-11-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-111-1-11111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i32−1−i321+i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i32
χ24111111-1-1-1-1-1-1-1-1111111111111-1-11-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-111-1-11111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i32−1+i321−i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i32−1−i321+i32
χ251111-1-111-1-111111111111111-1-1-1-11-11-11-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1111111-1-1-1-1-1-1-11-11-11-11-11-11
χ261111-1-111-1-111111111111111-1-1-1-11-11-11-1-1-1-11111-1-1-1-1111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-111-1-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321−i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ271111-1-111-1-111111111111111-1-1-1-11-11-11-1-1-1-11111-1-1-1-1111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-111-1-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321+i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ281111-1-111-1-111-1-1-1-111111111-111-111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-11-1111-111-11-1-111-11-1
χ291111-1-111-1-111-1-1-1-111111111-111-111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-11111-1-111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i321+i32−1−i32−1−i321+i32−1−i321+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ301111-1-111-1-111-1-1-1-111111111-111-111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-11111-1-111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i321−i32−1+i32−1+i321−i32−1+i321−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ311111-1-111-1-1-1-111-1-1111111111-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-11-11-1111-1-111-11-1-111-1
χ321111-1-111-1-1-1-111-1-1111111111-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11111-1-1-1-11111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ331111-1-111-1-1-1-111-1-1111111111-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11111-1-1-1-11111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ341111-1-111-1-1-1-1-1-1111111111111-11-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11-11-1-111-11-1-11
χ351111-1-111-1-1-1-1-1-1111111111111-11-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-111-1-111-1-1-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i321−i32−1+i321−i321−i32−1+i32
χ361111-1-111-1-1-1-1-1-1111111111111-11-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-111-1-111-1-1-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i321+i32−1−i321+i321+i32−1−i32
χ371111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ381111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−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+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
χ391111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+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−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
χ401111-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-1-11111
χ411111-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1-1-1111111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i321+i32−1+i321−i321+i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ421111-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-1-1-1111111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i321−i32−1−i321+i321−i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ431111-1-1-1-111-1-111-1-111111111-11-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11-11-1-111-1-11111-1-111
χ441111-1-1-1-111-1-111-1-111111111-11-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-11111-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321+i32−1−i321−i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ451111-1-1-1-111-1-111-1-111111111-11-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-11111-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321−i32−1+i321+i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ461111-1-1-1-111-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ471111-1-1-1-111-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111111111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ481111-1-1-1-111-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111111111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ492-22-20000002i−2i2i−2i2-222-2-222-2-20000000000000000000002i2i−2i−2i2i2i−2i−2i22-2-222-2-22-22-200000000000000000000000000002i−2i2i−2i2-2002i−2i2i−2i2-2000000000000000000
χ502-22-20000002i−2i2i−2i2-222-2-222-2-20000000000000000000002i2i−2i−2i2i2i−2i−2i22-2-2−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i300000000000000000000000000002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83−1−i31+i3002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−1+i31−i3000000000000000000
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χ562-22-2000000−2i2i2i−2i-2222-2-222-2-2000000000000000000000−2i−2i2i2i2i2i−2i−2i-2-222−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i30000000000000000000000000000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ831+i3−1−i300−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ791−i3−1+i3000000000000000000
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Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.