Finite Group Databasebeta

← Group #72277249

Character table — Group #72277249

Order 5376.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182
size11112244444444448888888888666612122424242424242424242448484848484848484848777714142828282828282828282856565656565656565656777714142828282828282828282856565656565656565656777714142828282828282828282856565656565656565656777714142828282828282828282856565656565656565656777714142828282828282828282856565656565656565656
order1222222222444444444444444471414141414141414142828282828282828282828282828282822222222224444444444444444366666666612121212121212121212121212121212366666666612121212121212121212121212121212666666666612121212121212121212121212121212666666666612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-1111111-1-1ii−i−iii−i−i111111-1-1-1-1111111-1-1ii−i−iii−i−i111111-1-1-1-1111111-1-1ii−i−iii−i−i111111-1-1-1-1111111-1-1ii−i−iii−i−i111111-1-1-1-1111111-1-1ii−i−iii−i−i111111-1-1-1-1111111-1-1ii−i−iii−i−i111111-1-1-1-1111111-1-1ii−i−iii−i−i
χ6111111-1-1-1-1111111-1-1−i−iii−i−iii111111-1-1-1-1111111-1-1−i−iii−i−iii111111-1-1-1-1111111-1-1−i−iii−i−iii111111-1-1-1-1111111-1-1−i−iii−i−iii111111-1-1-1-1111111-1-1−i−iii−i−iii111111-1-1-1-1111111-1-1−i−iii−i−iii111111-1-1-1-1111111-1-1−i−iii−i−iii
χ7111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii
χ8111111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111-1-1-1-111−i−iiiii−i−i
χ91-11-11-11-11-11-1ii−i−ii−i1-11-1i−ii−i1-11-11-11-11-11-1ii−i−ii−i1-11-1i−ii−i1-11-11-11-11-11-1ii−i−ii−i1-11-1i−ii−i1-11-11-11-11-11-1ii−i−ii−i1-11-1i−ii−i1-11-11-11-11-11-1ii−i−ii−i1-11-1i−ii−i1-11-11-11-11-11-1ii−i−ii−i1-11-1i−ii−i1-11-11-11-11-11-1ii−i−ii−i1-11-1i−ii−i
χ101-11-11-11-11-11-1ii−i−ii−i-11-11−ii−ii1-11-11-11-11-11-1ii−i−ii−i-11-11−ii−ii1-11-11-11-11-11-1ii−i−ii−i-11-11−ii−ii1-11-11-11-11-11-1ii−i−ii−i-11-11−ii−ii1-11-11-11-11-11-1ii−i−ii−i-11-11−ii−ii1-11-11-11-11-11-1ii−i−ii−i-11-11−ii−ii1-11-11-11-11-11-1ii−i−ii−i-11-11−ii−ii
χ111-11-11-11-11-11-1−i−iii−ii1-11-1−ii−ii1-11-11-11-11-11-1−i−iii−ii1-11-1−ii−ii1-11-11-11-11-11-1−i−iii−ii1-11-1−ii−ii1-11-11-11-11-11-1−i−iii−ii1-11-1−ii−ii1-11-11-11-11-11-1−i−iii−ii1-11-1−ii−ii1-11-11-11-11-11-1−i−iii−ii1-11-1−ii−ii1-11-11-11-11-11-1−i−iii−ii1-11-1−ii−ii
χ121-11-11-11-11-11-1−i−iii−ii-11-11i−ii−i1-11-11-11-11-11-1−i−iii−ii-11-11i−ii−i1-11-11-11-11-11-1−i−iii−ii-11-11i−ii−i1-11-11-11-11-11-1−i−iii−ii-11-11i−ii−i1-11-11-11-11-11-1−i−iii−ii-11-11i−ii−i1-11-11-11-11-11-1−i−iii−ii-11-11i−ii−i1-11-11-11-11-11-1−i−iii−ii-11-11i−ii−i
χ131-11-11-1-11-111-1ii−i−i−iii−i−ii-111-11-11-11-1-11-111-1ii−i−i−iii−i−ii-111-11-11-11-1-11-111-1ii−i−i−iii−i−ii-111-11-11-11-1-11-111-1ii−i−i−iii−i−ii-111-11-11-11-1-11-111-1ii−i−i−iii−i−ii-111-11-11-11-1-11-111-1ii−i−i−iii−i−ii-111-11-11-11-1-11-111-1ii−i−i−iii−i−ii-111-1
χ141-11-11-1-11-111-1ii−i−i−ii−iii−i1-1-111-11-11-1-11-111-1ii−i−i−ii−iii−i1-1-111-11-11-1-11-111-1ii−i−i−ii−iii−i1-1-111-11-11-1-11-111-1ii−i−i−ii−iii−i1-1-111-11-11-1-11-111-1ii−i−i−ii−iii−i1-1-111-11-11-1-11-111-1ii−i−i−ii−iii−i1-1-111-11-11-1-11-111-1ii−i−i−ii−iii−i1-1-11
χ151-11-11-1-11-111-1−i−iiii−ii−i−ii1-1-111-11-11-1-11-111-1−i−iiii−ii−i−ii1-1-111-11-11-1-11-111-1−i−iiii−ii−i−ii1-1-111-11-11-1-11-111-1−i−iiii−ii−i−ii1-1-111-11-11-1-11-111-1−i−iiii−ii−i−ii1-1-111-11-11-1-11-111-1−i−iiii−ii−i−ii1-1-111-11-11-1-11-111-1−i−iiii−ii−i−ii1-1-11
χ161-11-11-1-11-111-1−i−iiii−i−iii−i-111-11-11-11-1-11-111-1−i−iiii−i−iii−i-111-11-11-11-1-11-111-1−i−iiii−i−iii−i-111-11-11-11-1-11-111-1−i−iiii−i−iii−i-111-11-11-11-1-11-111-1−i−iiii−i−iii−i-111-11-11-11-1-11-111-1−i−iiii−i−iii−i-111-11-11-11-1-11-111-1−i−iiii−i−iii−i-111-1
χ172222222-2-22-2-2000000000000002222222-2-22-2-2000000000000002222222-2-22-2-2000000000000002222222-2-22-2-2000000000000002222222-2-22-2-2000000000000002222222-2-22-2-2000000000000002222222-2-22-2-200000000000000
χ18222222-222-2-2-200000000000000222222-222-2-2-200000000000000222222-222-2-2-200000000000000222222-222-2-2-200000000000000222222-222-2-2-200000000000000222222-222-2-2-200000000000000222222-222-2-2-200000000000000
χ192-22-22-222-2-2-22000000000000002-22-22-222-2-2-22000000000000002-22-22-222-2-2-22000000000000002-22-22-222-2-2-22000000000000002-22-22-222-2-2-22000000000000002-22-22-222-2-2-22000000000000002-22-22-222-2-2-2200000000000000
χ202-22-22-2-2-222-22000000000000002-22-22-2-2-222-22000000000000002-22-22-2-2-222-22000000000000002-22-22-2-2-222-22000000000000002-22-22-2-2-222-22000000000000002-22-22-2-2-222-22000000000000002-22-22-2-2-222-2200000000000000
χ214444-4-4000000000000000000004444-4-4000000000000000000004444-4-4000000000000000000004444-4-4000000000000000000004444-4-4000000000000000000004444-4-4000000000000000000004444-4-400000000000000000000
χ2244-4-4000000002i−2i2i−2i000000000044-4-4000000002i−2i2i−2i000000000044-4-4000000002i−2i2i−2i000000000044-4-4000000002i−2i2i−2i000000000044-4-4000000002i−2i2i−2i000000000044-4-4000000002i−2i2i−2i000000000044-4-4000000002i−2i2i−2i0000000000
χ2344-4-400000000−2i2i−2i2i000000000044-4-400000000−2i2i−2i2i000000000044-4-400000000−2i2i−2i2i000000000044-4-400000000−2i2i−2i2i000000000044-4-400000000−2i2i−2i2i000000000044-4-400000000−2i2i−2i2i000000000044-4-400000000−2i2i−2i2i0000000000
χ244-44-4-44000000000000000000004-44-4-44000000000000000000004-44-4-44000000000000000000004-44-4-44000000000000000000004-44-4-44000000000000000000004-44-4-44000000000000000000004-44-4-4400000000000000000000
χ254-4-44000000002-2-2200000000004-4-44000000002-2-2200000000004-4-44000000002-2-2200000000004-4-44000000002-2-2200000000004-4-44000000002-2-2200000000004-4-44000000002-2-2200000000004-4-44000000002-2-220000000000
χ264-4-4400000000-222-200000000004-4-4400000000-222-200000000004-4-4400000000-222-200000000004-4-4400000000-222-200000000004-4-4400000000-222-200000000004-4-4400000000-222-200000000004-4-4400000000-222-20000000000
χ27111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ28111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1−1+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+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−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+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ29111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−i32−1−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+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−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−i32−1−i321+i321+i321+i321+i32
χ30111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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+i32−1−i32−1−i32−1−i32−1−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−i32−1+i32−1+i32−1+i32−1+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+i32−1−i32−1−i32−1−i32−1−i32
χ31111111-1-1-1-1111111-1-1ii−i−iii−i−i111111-1-1-1-1111111-1-1ii−i−iii−i−i111111-1-1-1-1111111-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ32111111-1-1-1-1111111-1-1−i−iii−i−iii111111-1-1-1-1111111-1-1−i−iii−i−iii111111-1-1-1-1111111-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
χ33111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
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χ108111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1−1+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−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+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+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ109111111-1-1-1-1111111-1-1ii−i−iii−i−i111111-1-1-1-1111111-1-1ii−i−iii−i−i-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
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χ112111111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iii−1+i32−1+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−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−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−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
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χ1151-11-11-11-11-11-1−i−iii−ii1-11-1−ii−ii1-11-11-11-11-11-1−i−iii−ii1-11-1−ii−ii-11-11-11-11-11-11ii−i−ii−i-11-11i−ii−i−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ1161-11-11-11-11-11-1−i−iii−ii-11-11i−ii−i1-11-11-11-11-11-1−i−iii−ii-11-11i−ii−i-11-11-11-11-11-11ii−i−ii−i1-11-1−ii−ii−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
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χ1201-11-11-1-11-111-1−i−iiii−i−iii−i-111-11-11-11-1-11-111-1−i−iiii−i−iii−i-111-1-11-11-111-11-1-11ii−i−i−iii−i−ii1-1-11−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32
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χ132111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321+i321+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ133111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111−1−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−i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ134111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1−1−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+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−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−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ135111111-1-1-1-1111111-1-1ii−i−iii−i−i111111-1-1-1-1111111-1-1ii−i−iii−i−i-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ136111111-1-1-1-1111111-1-1−i−iii−i−iii111111-1-1-1-1111111-1-1−i−iii−i−iii-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ137111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ138111111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iii−1−i32−1−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−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+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−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
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χ1431-11-11-1-11-111-1ii−i−i−iii−i−ii-111-11-11-11-1-11-111-1ii−i−i−iii−i−ii-111-1-11-11-111-11-1-11−i−iiii−i−iii−i1-1-11−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32
χ1441-11-11-1-11-111-1ii−i−i−ii−iii−i1-1-111-11-11-1-11-111-1ii−i−i−ii−iii−i1-1-11-11-11-111-11-1-11−i−iiii−ii−i−ii-111-1−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32
χ1451-11-11-1-11-111-1−i−iiii−ii−i−ii1-1-111-11-11-1-11-111-1−i−iiii−ii−i−ii1-1-11-11-11-111-11-1-11ii−i−i−ii−iii−i-111-1−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32
χ1461-11-11-1-11-111-1−i−iiii−i−iii−i-111-11-11-11-1-11-111-1−i−iiii−i−iii−i-111-1-11-11-111-11-1-11ii−i−i−iii−i−ii1-1-11−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.