Finite Group Databasebeta

← Group #13152130

Character table — Group #13152130

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155
size11111111111122222222222222222233333333666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424
order122233666666444444121212121212121212121212991818181818184412121212363636363636363636363636363636363636363636363636334446666669999121212121212181818181818181818181818363636363636363636363636363636363636121212121212121212121212363636363636363636363636363636363636363636363636
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−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+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
χ311111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+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−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
χ4111111111111111111111111111111−1−i32−1+i32−1−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+i3211111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−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
χ5111111111111111111111111111111−1−i32−1+i32−1−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−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32111111−1+i3211−1−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−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+i3211111111−1−i32−1−i32−1−i32−1−i32
χ6111111111111111111111111111111−1−i32−1+i32−1−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+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i3211111111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i321−1−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−i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111
χ7111111111111111111111111111111−1+i32−1−i32−1+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−i3211111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+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
χ8111111111111111111111111111111−1+i32−1−i32−1+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−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i3211111111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i321−1+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+i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111
χ9111111111111111111111111111111−1+i32−1−i32−1+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+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32111111−1−i3211−1+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+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−i3211111111−1+i32−1+i32−1+i32−1+i32
χ1011111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-111-11-11111111111-1-111-1-1111111111111-1-1-1-1-1-1111-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-1−1−i32−1+i32-11-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1111-1-1-1111-1-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+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−i32
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-1−1+i32−1−i32-11-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1111-1-1-1111-1-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−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+i32
χ1311111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+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−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i3211-11-1111111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−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−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32-1-1-1-111-1-111-1-11+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−i32
χ1411111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+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−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i32-11-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32-1-111-1-1−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-11+i321+i32−1+i32−1+i321−i321−i3211-1-111-1-1−1−i32−1−i321+i321+i32
χ1511111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+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−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32−1+i32−1−i32-11-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i321-1-111-1-11−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11+i321+i321−i321−i32-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1
χ1611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−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+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i3211-11-1111111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+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+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32-1-1-1-111-1-111-1-11−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+i32
χ1711111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−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+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32−1−i32−1+i32-11-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i321-1-111-1-11−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11−i321−i321+i321+i32-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1
χ1811111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−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+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32−1+i32−1−i32-11-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32-1-111-1-1−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-11−i321−i32−1−i32−1−i321+i321+i3211-1-111-1-1−1+i32−1+i321−i321−i32
χ19111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-111-1-1-1-111-1-111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ20111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-111-1-1-1-1−1−i32−1+i32-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1111-1-1-11111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321+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+i32
χ21111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-111-1-1-1-1−1+i32−1−i32-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1111-1-1-11111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321−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−i32
χ22111111111111-1-111-1-1-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i3211-1-11111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−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+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32-1-1-1-1-1-111-1-1111+i321+i321−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+i32
χ23111111111111-1-111-1-1-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32-1-1-1-111−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32-1-1-1-11+i321+i321−i321−i32−1+i32−1+i32-1-111-1-1111+i321+i32−1−i32−1−i32
χ24111111111111-1-111-1-1-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32−1+i32−1−i32-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i321-1-1-1-1111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211+i321+i321+i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11+i321+i321−i321−i32-1-1-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111
χ25111111111111-1-111-1-1-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i3211-1-11111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+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−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32-1-1-1-1-1-111-1-1111−i321−i321+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−i32
χ26111111111111-1-111-1-1-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32−1−i32−1+i32-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i321-1-1-1-1111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−i321−i321−i321+i321+i321+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11−i321−i321+i321+i32-1-1-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111
χ27111111111111-1-111-1-1-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32-1-1-1-111−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32-1-1-1-11−i321−i321+i321+i32−1−i32−1−i32-1-111-1-1111−i321−i32−1+i32−1+i32
χ28111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ29111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111−1−i32−1+i321-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−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−i321−i321−i321−i321−i32
χ30111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111−1+i32−1−i321-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+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+i321+i321+i321+i321+i32
χ31111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−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−i32−1−i32−1−i32−1+i32−1+i32111-1-1111111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321111-1-1-1-1-1-1-1-1−1−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+i321−i321−i321−i321−i32
χ32111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i3211-1-1-1-1−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−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−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321111−1−i32−1−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i32
χ33111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i321-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i32111-1-1-1-11−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1
χ34111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+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+i32−1+i32−1+i32−1−i32−1−i32111-1-1111111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321111-1-1-1-1-1-1-1-1−1+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−i321+i321+i321+i321+i32
χ35111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i321-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i32111-1-1-1-11−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1
χ36111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i3211-1-1-1-1−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+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+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321111−1+i32−1+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i32
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χ13666-6-66666-6-6-6-6000000000000000000−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3-22-2-2221+i31+i31+i3−1−i3−1−i3−1−i31−i31−i31−i3−1+i3−1+i3−1+i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13766-6-66666-6-6-6-6000000000000000000−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3-22-2-2221−i31−i31−i3−1+i3−1+i3−1+i31+i31+i31+i3−1−i3−1−i3−1−i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13866-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000000000000000000000006-6−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13966-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i300000000000000000000000000-221+i31−i3−1−i3−1+i34ζ14+4ζ26−4ζ26−4ζ14−4ζ14−4ζ264ζ264ζ14−4ζ224ζ22+4ζ34−4ζ344ζ22−4ζ22−4ζ344ζ34000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14066-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i300000000000000000000000000-221+i31−i3−1−i3−1+i3−4ζ26−4ζ144ζ14+4ζ264ζ264ζ14−4ζ14−4ζ26−4ζ34−4ζ224ζ22+4ζ344ζ344ζ22−4ζ22−4ζ34000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14166-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i300000000000000000000000000-221+i31−i3−1−i3−1+i3−4ζ144ζ14+4ζ26−4ζ264ζ14−4ζ14−4ζ264ζ264ζ22+4ζ34−4ζ34−4ζ22−4ζ22−4ζ344ζ344ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14266-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000000000000000000000006-6−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14366-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i300000000000000000000000000-221−i31+i3−1+i3−1−i3−4ζ22−4ζ344ζ22+4ζ344ζ224ζ34−4ζ22−4ζ34−4ζ264ζ14+4ζ26−4ζ144ζ26−4ζ14−4ζ264ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14466-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i300000000000000000000000000-221−i31+i3−1+i3−1−i34ζ22+4ζ34−4ζ22−4ζ34−4ζ22−4ζ344ζ224ζ344ζ14+4ζ26−4ζ14−4ζ26−4ζ14−4ζ264ζ144ζ26000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14566-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i300000000000000000000000000-221−i31+i3−1+i3−1−i3−4ζ344ζ22+4ζ34−4ζ224ζ34−4ζ22−4ζ344ζ22−4ζ14−4ζ264ζ14+4ζ264ζ144ζ26−4ζ14−4ζ26000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1466-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36i−6i6i−6i6-6−6ζ15−6ζ36ζ156ζ3−6ζ15−6ζ36ζ156ζ3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1476-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36i−6i−6i6i-66−6ζ15−6ζ36ζ156ζ36ζ156ζ3−6ζ15−6ζ33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1486-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−6i6i6i−6i-666ζ156ζ3−6ζ15−6ζ3−6ζ15−6ζ36ζ156ζ33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1496-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−6i6i−6i6i6-66ζ156ζ3−6ζ15−6ζ36ζ156ζ3−6ζ15−6ζ3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1506-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36i−6i6i−6i6-6−6ζ3−6ζ156ζ36ζ15−6ζ3−6ζ156ζ36ζ15−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1516-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36i−6i−6i6i-66−6ζ3−6ζ156ζ36ζ156ζ36ζ15−6ζ3−6ζ153−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1526-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−6i6i6i−6i-666ζ36ζ15−6ζ3−6ζ15−6ζ3−6ζ156ζ36ζ153−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1536-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−6i6i−6i6i6-66ζ36ζ15−6ζ3−6ζ156ζ36ζ15−6ζ3−6ζ15−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15412-1212-12−6−6i3−6+6i36+6i36−6i3−6−6i3−6+6i36+6i36−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15512-1212-12−6+6i3−6−6i36−6i36+6i3−6+6i3−6−6i36−6i36+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.