Finite Group Databasebeta

← Group #12964413

Character table — Group #12964413

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188
size1111111122222222222222224444444444444444444444444444444444444488888888888888882020202020202020202020202020202011111111222222222222222244444444444444444444444444444444444444888888888888888820202020202020202020202020202020
order1222444455101010101010202020202020202022244444444444101010102020202020202020202020202020202020202020101010102020202020202020202020208888888888888888222244441010101010101010202020202020202022244444444444101010102020202020202020202020202020202020202020101010102020202020202020202020208888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111111111111111111111-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111111111111111-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ51111111111111111111111111-111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-11111111111111111111111111-111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1
χ61111111111111111111111111-111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1111111111111111111111111111-111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111
χ71111111111111111111111111-1-11-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-11-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-11-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111111111111111-1-11-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111111111111111111111111-111-11-1-11-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111111111111111111111111111-111-11-1-11-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111
χ10111111111111111111111111-111-11-1-11-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1111111111111111111111111-111-11-1-11-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1
χ11111111111111111111111111-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1111111111111111111111111-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1
χ12111111111111111111111111-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111111111111111111111111111-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111
χ13111111111111111111111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ14111111111111111111111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ15111111111111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111111111111111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111
χ16111111111111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-111-1-1-1-1
χ171111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11-1-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1i−ii−ii−ii−ii−ii−ii−ii−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11-1-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1i−ii−ii−ii−ii−ii−ii−ii−i
χ181111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11-1-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1−ii−ii−ii−ii−ii−ii−ii−ii1111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11-1-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1−ii−ii−ii−ii−ii−ii−ii−ii
χ191111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-11-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111i−i−iii−ii−ii−i−ii−ii−ii1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-11-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111i−i−iii−ii−ii−i−ii−ii−ii
χ201111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-11-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111−iii−i−ii−ii−iii−ii−ii−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-11-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111−iii−i−ii−ii−iii−ii−ii−i
χ211111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1i−i−iii−i−ii−iii−ii−i−ii1111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1i−i−iii−i−ii−iii−ii−i−ii
χ221111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1−iii−i−iii−ii−i−ii−iii−i1111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1−iii−i−iii−ii−i−ii−iii−i
χ231111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-111-111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111i−ii−ii−i−ii−ii−ii−iii−i1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-111-111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111i−ii−ii−i−ii−ii−ii−iii−i
χ241111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-111-111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111−ii−ii−iii−ii−ii−ii−i−ii1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-111-111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111−ii−ii−iii−ii−ii−ii−i−ii
χ251111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111i−i−ii−iii−i−iii−i−iii−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111i−i−ii−iii−i−iii−i−iii−i
χ261111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111−iii−ii−i−iii−i−iii−i−ii1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111−iii−ii−i−iii−i−iii−i−ii
χ271111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1i−ii−i−iii−i−ii−iii−i−ii1111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1i−ii−i−iii−i−ii−iii−i−ii
χ281111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1−ii−iii−i−iii−ii−i−iii−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1−ii−iii−i−iii−ii−i−iii−i
χ291111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111i−ii−i−ii−iii−ii−i−ii−ii1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111i−ii−i−ii−iii−ii−i−ii−ii
χ301111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111−ii−iii−ii−i−ii−iii−ii−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111−ii−iii−ii−i−ii−iii−ii−i
χ311111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1i−i−ii−ii−iii−i−iii−ii−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1i−i−ii−ii−iii−i−iii−ii−i
χ321111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1−iii−ii−ii−i−iii−i−ii−ii1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1−iii−ii−ii−i−iii−i−ii−ii
χ3322222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ3422222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-22222-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+52000000000000000022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-22222-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+520000000000000000
χ3522222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-222-2-2-2222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-222-2-2-2222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ3622222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
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χ1131111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-11-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111i−i−iii−ii−ii−i−ii−ii−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111-11-11-11-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1−iii−i−ii−ii−iii−ii−ii−i
χ1141111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-11-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111−iii−i−ii−ii−iii−ii−ii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111-11-11-11-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1i−i−iii−ii−ii−i−ii−ii−ii
χ1151111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1i−i−iii−i−ii−iii−ii−i−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-11-11-111-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111−iii−i−iii−ii−i−ii−iii−i
χ1161111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1−iii−i−iii−ii−i−ii−iii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-11-11-111-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111i−i−iii−i−ii−iii−ii−i−ii
χ1171111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-111-111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111i−ii−ii−i−ii−ii−ii−iii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111-1111-11-1-11-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1−ii−ii−iii−ii−ii−ii−i−ii
χ1181111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-111-111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111−ii−ii−iii−ii−ii−ii−i−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111-1111-11-1-11-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1i−ii−ii−i−ii−ii−ii−iii−i
χ1191111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111i−i−ii−iii−i−iii−i−iii−i-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-111-111-1-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1−iii−ii−i−iii−i−iii−i−ii
χ1201111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111−iii−ii−i−iii−i−iii−i−ii-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-111-111-1-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1i−i−ii−iii−i−iii−i−iii−i
χ1211111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1i−ii−i−iii−i−ii−iii−i−ii-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111−ii−iii−i−iii−ii−i−iii−i
χ1221111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1−ii−iii−i−iii−ii−i−iii−i-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111i−ii−i−iii−i−ii−iii−i−ii
χ1231111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111i−ii−i−ii−iii−ii−i−ii−ii-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1−ii−iii−ii−i−ii−iii−ii−i
χ1241111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111−ii−iii−ii−i−ii−iii−ii−i-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1i−ii−i−ii−iii−ii−i−ii−ii
χ1251111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1i−i−ii−ii−iii−i−iii−ii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-11-1-11-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111−iii−ii−ii−i−iii−i−ii−ii
χ1261111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1−iii−ii−ii−i−iii−i−ii−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-11-1-11-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111i−i−ii−ii−iii−i−iii−ii−i
χ12722222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-2-2-2-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ12822222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-22222-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+520000000000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+52-2-22-2-2-2-222222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ12922222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-222-2-2-2222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+52-22-2-2222-2-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+520000000000000000
χ13022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+52-222-2222222-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ13122222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-22-2-22-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+520000000000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+522-2-22-222-222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−520000000000000000
χ13222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2-22-2-2-222-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+522-222-2222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ13322222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-2222-2-2-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+5222-222-2-2-22222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ13422222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-222-22222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−520000000000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+5222222-2-22-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+520000000000000000
χ13522222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000-2-2-2-2-2-2-2-21+521−521+521+521+521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-2-2-2-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ13622222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-22222-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−520000000000000000-2-2-2-2-2-2-2-21+521−521+521+521+521−521−521−521+521+521+521+521−521−521−521−52-2-22-2-2-2-222222221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
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χ1874-4-44−4i4i4i−4i−1−5−1+51+51+5−1−51−51−5−1+52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ190000000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000000000-444-44i−4i−4i4i1+51−5−1−5−1−51+5−1+5−1+51−5−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ1900000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000000000000
χ1884-4-44−4i4i4i−4i−1−5−1+51+51+5−1−51−51−5−1+52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000000000000-444-44i−4i−4i4i1+51−5−1−5−1−51+5−1+5−1+51−5−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ190000000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.