Finite Group Databasebeta

← Group #11922554

Character table — Group #11922554

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111111133333333444444444444444444444444444444446666121212121212121212121212121212121616161616161616161616161616161616161616161616161616161616161616181818182424242424242424
order1222444422224444333366666666666612121212121212121212121212121212444466666666121212121212121233336666666666661212121212121212121212121212121244441212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i3211111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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
χ3111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i3211111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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
χ41111111111111111−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−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
χ51111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ61111111111111111−1−i32−1+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i321−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ71111111111111111−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+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
χ81111111111111111−1+i32−1−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i321−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ91111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ101111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ111111-1-1-1-11111-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+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−i321−i321−i321−i321−i3211-1-111-1-111-1-1
χ121111-1-1-1-11111-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−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+i321+i321+i321+i321+i3211-1-111-1-111-1-1
χ131111-1-1-1-11111-1-1-1-1−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+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−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ141111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+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−i3211-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i3211−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i3211−1−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ151111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+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+i3211-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ161111-1-1-1-11111-1-1-1-1−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−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+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ171111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−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−i3211-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ181111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−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+i3211-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i3211−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i3211−1+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ191-11-1ii−i−i11-1-1ii−i−i11111-11-1-1-11-11-1-1-1ii−i−iii−i−iii−i−iii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−i11111-11-11-11-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-1i−i1-1i−i1-1i−i
χ201-11-1ii−i−i11-1-1ii−i−i11−1−i32−1+i32−1−i321+i32−1+i321−i32-1-11-11-11+i321−i32ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-1i−i−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321+i321−i321−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71-1i−i1-1i−i1-1i−i
χ211-11-1ii−i−i11-1-1ii−i−i11−1+i32−1−i32−1+i321−i32−1−i321+i32-1-11-11-11−i321+i32ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-1i−i−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321−i321+i321+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111-1i−i1-1i−i1-1i−i
χ221-11-1ii−i−i11-1-1ii−i−i−1−i32−1+i32111-11-11+i321−i32−1−i321+i32−1+i321−i32-1-1ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ii−i−iii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−i−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321−i321+i321−i32ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-1i−i−1−i321+i32ζ11−ζ11−1+i321−i32ζ7−ζ7
χ231-11-1ii−i−i11-1-1ii−i−i−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i321+i321−i32ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-1i−i−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7−1+i3211−1−i32−1+i321−i321-11-1−1−i321+i321−i32-1-11+i32ζ7ζ7−ζ7−ζ7ii−i−iii−i−iζ11ζ11−ζ11−ζ111-1i−i−1−i321+i32ζ11−ζ11−1+i321−i32ζ7−ζ7
χ241-11-1ii−i−i11-1-1ii−i−i−1−i32−1+i32−1+i32−1−i32−1+i321−i32−1−i321+i321+i321−i32−1−i321+i32−1+i321−i321−i321+i32ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-1i−i−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111−1−i32−1+i3211-1−1−i321+i32−1+i321−i321-1-11+i321−i32-1ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ii−i−i1-1i−i−1−i321+i32ζ11−ζ11−1+i321−i32ζ7−ζ7
χ251-11-1ii−i−i11-1-1ii−i−i−1+i32−1−i32111-11-11−i321+i32−1+i321−i32−1−i321+i32-1-1ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ii−i−iii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−i−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321+i321−i321+i32ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-1i−i−1+i321−i32ζ7−ζ7−1−i321+i32ζ11−ζ11
χ261-11-1ii−i−i11-1-1ii−i−i−1+i32−1−i32−1−i32−1+i32−1−i321+i32−1+i321−i321−i321+i32−1+i321−i32−1−i321+i321+i321−i32ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-1i−i−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71−1+i32−1−i3211-1−1+i321−i32−1−i321+i321-1-11−i321+i32-1ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ii−i−i1-1i−i−1+i321−i32ζ7−ζ7−1−i321+i32ζ11−ζ11
χ271-11-1ii−i−i11-1-1ii−i−i−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i321−i321+i32ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-1i−i−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11−1−i3211−1+i32−1−i321+i321-11-1−1+i321−i321+i32-1-11−i32ζ11ζ11−ζ11−ζ11ii−i−iii−i−iζ7ζ7−ζ7−ζ71-1i−i−1+i321−i32ζ7−ζ7−1−i321+i32ζ11−ζ11
χ281-11-1−i−iii11-1-1−i−iii11111-11-1-1-11-11-1-1-1−i−iii−i−iii−i−iii−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii11111-11-11-11-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-1−ii1-1−ii1-1−ii
χ291-11-1−i−iii11-1-1−i−iii11−1−i32−1+i32−1−i321+i32−1+i321−i32-1-11-11-11+i321−i32−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−ii−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321+i321−i321−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71-1−ii1-1−ii1-1−ii
χ301-11-1−i−iii11-1-1−i−iii11−1+i32−1−i32−1+i321−i32−1−i321+i32-1-11-11-11−i321+i32−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-1−ii−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321−i321+i321+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111-1−ii1-1−ii1-1−ii
χ311-11-1−i−iii11-1-1−i−iii−1−i32−1+i32111-11-11+i321−i32−1−i321+i32−1+i321−i32-1-1−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−i−iii−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321−i321+i321−i32−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−ii−1−i321+i32−ζ11ζ11−1+i321−i32−ζ7ζ7
χ321-11-1−i−iii11-1-1−i−iii−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i321+i321−i32−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−ii−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−1+i3211−1−i32−1+i321−i321-11-1−1−i321+i321−i32-1-11+i32−ζ7−ζ7ζ7ζ7−i−iii−i−iii−ζ11−ζ11ζ11ζ111-1−ii−1−i321+i32−ζ11ζ11−1+i321−i32−ζ7ζ7
χ331-11-1−i−iii11-1-1−i−iii−1−i32−1+i32−1+i32−1−i32−1+i321−i32−1−i321+i321+i321−i32−1−i321+i32−1+i321−i321−i321+i32−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-1−ii−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111−1−i32−1+i3211-1−1−i321+i32−1+i321−i321-1-11+i321−i32-1−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−i−iii1-1−ii−1−i321+i32−ζ11ζ11−1+i321−i32−ζ7ζ7
χ341-11-1−i−iii11-1-1−i−iii−1+i32−1−i32111-11-11−i321+i32−1+i321−i32−1−i321+i32-1-1−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−i−iii−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321+i321−i321+i32−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-1−ii−1+i321−i32−ζ7ζ7−1−i321+i32−ζ11ζ11
χ351-11-1−i−iii11-1-1−i−iii−1+i32−1−i32−1−i32−1+i32−1−i321+i32−1+i321−i321−i321+i32−1+i321−i32−1−i321+i321+i321−i32−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−ii−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71−1+i32−1−i3211-1−1+i321−i32−1−i321+i321-1-11−i321+i32-1−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−i−iii1-1−ii−1+i321−i32−ζ7ζ7−1−i321+i32−ζ11ζ11
χ361-11-1−i−iii11-1-1−i−iii−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i321−i321+i32−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-1−ii−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−1−i3211−1+i32−1−i321+i321-11-1−1+i321−i321+i32-1-11−i32−ζ11−ζ11ζ11ζ11−i−iii−i−iii−ζ7−ζ7ζ7ζ71-1−ii−1+i321−i32−ζ7ζ7−1−i321+i32−ζ11ζ11
χ3722-2-22-22-22-22-22-22-222-1-1111122-2-2-2-2-1-12-22-22-22-21-11-11-11-100001-11-11-11-11-11-11-11-1-1-1-1-111111111-1-1-1-11-11-11-11-11-11-11-11-1000000000000
χ3822-2-22-22-22-22-22-22-2221+i321−i32−1−i32−1−i32−1+i32−1+i3222-2-2-2-21+i321−i322-22-22-22-2−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i320000−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+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−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32000000000000
χ3922-2-22-22-22-22-22-22-2221−i321+i32−1+i32−1+i32−1−i32−1−i3222-2-2-2-21−i321+i322-22-22-22-2−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i320000−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−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+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32000000000000
χ4022-2-22-22-22-22-22-22-2−1−i3−1+i3-1-11111−1−i3−1+i31+i31+i31−i31−i3-1-1−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i31-11-11-11-100001-11-11-11-11-11-11-11-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32000000000000
χ4122-2-22-22-22-22-22-22-2−1−i3−1+i31+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i3−1+i31+i31+i31−i31−i31+i321−i32−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i320000−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321−i32-1-11+i32−1+i32−1+i321111−1−i32−1−i321−i32-1-11+i32−1+i321−i32−1+i321−i321-11-11-11-1−1−i321+i32−1−i321+i32000000000000
χ4222-2-22-22-22-22-22-22-2−1−i3−1+i31−i321+i32−1+i32−1+i32−1−i32−1−i32−1−i3−1+i31+i31+i31−i31−i31−i321+i32−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i320000−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32-11+i321−i32-111−1−i32−1−i32−1+i32−1+i3211-11+i321−i32-11-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321-11-1000000000000
χ4322-2-22-22-22-22-22-22-2−1+i3−1−i3-1-11111−1+i3−1−i31−i31−i31+i31+i3-1-1−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i31-11-11-11-100001-11-11-11-11-11-11-11-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32000000000000
χ4422-2-22-22-22-22-22-22-2−1+i3−1−i31+i321−i32−1−i32−1−i32−1+i32−1+i32−1+i3−1−i31−i31−i31+i31+i31+i321−i32−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i320000−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32-11−i321+i32-111−1+i32−1+i32−1−i32−1−i3211-11−i321+i32-11-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321-11-1000000000000
χ4522-2-22-22-22-22-22-22-2−1+i3−1−i31−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i3−1−i31−i31−i31+i31+i31−i321+i32−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i320000−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321+i32-1-11−i32−1−i32−1−i321111−1+i32−1+i321+i32-1-11−i32−1−i321+i32−1−i321+i321-11-11-11-1−1+i321−i32−1+i321−i32000000000000
χ4622-2-2-22-222-22-2-22-2222-1-1111122-2-2-2-2-1-1-22-22-22-22-11-11-11-1100001-11-11-11-1-11-11-11-11-1-1-1-111111111-1-1-1-1-11-11-11-11-11-11-11-11000000000000
χ4722-2-2-22-222-22-2-22-22221+i321−i32−1−i32−1−i32−1+i32−1+i3222-2-2-2-21+i321−i32-22-22-22-221+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i320000−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+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+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32000000000000
χ4822-2-2-22-222-22-2-22-22221−i321+i32−1+i32−1+i32−1−i32−1−i3222-2-2-2-21−i321+i32-22-22-22-221−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i320000−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−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−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32000000000000
χ4922-2-2-22-222-22-2-22-22−1−i3−1+i3-1-11111−1−i3−1+i31+i31+i31−i31−i3-1-11+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3-11-11-11-1100001-11-11-11-1-11-11-11-111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32000000000000
χ5022-2-2-22-222-22-2-22-22−1−i3−1+i31+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i3−1+i31+i31+i31−i31−i31+i321−i321+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i320000−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32-1-11+i32−1+i32−1+i321111−1−i32−1−i321−i32-1-11+i321−i32−1+i321−i32−1+i32-11-11-11-111+i32−1−i321+i32−1−i32000000000000
χ5122-2-2-22-222-22-2-22-22−1−i3−1+i31−i321+i32−1+i32−1+i32−1−i32−1−i32−1−i3−1+i31+i31+i31−i31−i31−i321+i321+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i320000−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-11+i321−i32-111−1−i32−1−i32−1+i32−1+i3211-11+i321−i32-1-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-11-11000000000000
χ5222-2-2-22-222-22-2-22-22−1+i3−1−i3-1-11111−1+i3−1−i31−i31−i31+i31+i3-1-11−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3-11-11-11-1100001-11-11-11-1-11-11-11-111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32000000000000
χ5322-2-2-22-222-22-2-22-22−1+i3−1−i31+i321−i32−1−i32−1−i32−1+i32−1+i32−1+i3−1−i31−i31−i31+i31+i31+i321−i321−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i320000−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-11−i321+i32-111−1+i32−1+i32−1−i32−1−i3211-11−i321+i32-1-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-11-11000000000000
χ5422-2-2-22-222-22-2-22-22−1+i3−1−i31−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i3−1−i31−i31−i31+i31+i31−i321+i321−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i320000−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32-1-11−i32−1−i32−1−i321111−1+i32−1+i321+i32-1-11−i321+i32−1−i321+i32−1−i32-11-11-11-111−i32−1+i321−i32−1+i32000000000000
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χ10266-6-6-66-66-22-222-22-2003−3i323+3i32−3+3i32−3+3i32−3−3i32−3−3i320000003−3i323+3i32000000003−3i32−3+3i323−3i32−3+3i323+3i32−3−3i323+3i32−3−3i3200001−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i3200000000000000000000000000000000000000000000
χ1036-6-666i−6i−6i6i-222-2−2i2i2i−2i00-3-33-33-300000033000000003i−3i−3i3i3i−3i−3i3i0000-111-1-111-1−iii−i−iii−i00000000000000000000000000000000000000000000
χ1046-6-666i−6i−6i6i-222-2−2i2i2i−2i003+3i323−3i32−3−3i323+3i32−3+3i323−3i32000000−3−3i32−3+3i32000000003ζ11−3ζ11−3ζ113ζ113ζ7−3ζ7−3ζ73ζ700001+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ700000000000000000000000000000000000000000000
χ1056-6-666i−6i−6i6i-222-2−2i2i2i−2i003−3i323+3i32−3+3i323−3i32−3−3i323+3i32000000−3+3i32−3−3i32000000003ζ7−3ζ7−3ζ73ζ73ζ11−3ζ11−3ζ113ζ1100001−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1100000000000000000000000000000000000000000000
χ1066-6-66−6i6i6i−6i-222-22i−2i−2i2i00-3-33-33-30000003300000000−3i3i3i−3i−3i3i3i−3i0000-111-1-111-1i−i−iii−i−ii00000000000000000000000000000000000000000000
χ1076-6-66−6i6i6i−6i-222-22i−2i−2i2i003+3i323−3i32−3−3i323+3i32−3+3i323−3i32000000−3−3i32−3+3i3200000000−3ζ113ζ113ζ11−3ζ11−3ζ73ζ73ζ7−3ζ700001+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ700000000000000000000000000000000000000000000
χ1086-6-66−6i6i6i−6i-222-22i−2i−2i2i003−3i323+3i32−3+3i323−3i32−3−3i323+3i32000000−3+3i32−3−3i3200000000−3ζ73ζ73ζ7−3ζ7−3ζ113ζ113ζ11−3ζ1100001−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1100000000000000000000000000000000000000000000
χ10999999999-3-3-3-3-3-3-3-300000000000000000000000000000000-3-3-3-3000000000000000000000000000000000000000000000000111100000000
χ1109999-9-9-9-9-3-3-3-3333300000000000000000000000000000000-3-33300000000000000000000000000000000000000000000000011-1-100000000
χ1119-99-99i9i−9i−9i-3-333−3i−3i3i3i00000000000000000000000000000000-33−3i3i0000000000000000000000000000000000000000000000001-1i−i00000000
χ1129-99-9−9i−9i9i9i-3-3333i3i−3i−3i00000000000000000000000000000000-333i−3i0000000000000000000000000000000000000000000000001-1−ii00000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.