Finite Group Databasebeta

← Group #12020530

Character table — Group #12020530

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224
size111111112222222222224444444411111111222222222222444444442222222244444444444488888888222222224444444444448888888822222222444444444444888888882222222244444444444488888888555555551010101010101010101010102020202020202020555555551010101010101010101010102020202020202020
order1222222244444444444444444444222222224444444444444444444451010101010101020202020202020202020202020202020202020205101010101010102020202020202020202020202020202020202020101010101010101020202020202020202020202020202020202020201010101010101010202020202020202020202020202020202020202044444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ711111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ91-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i
χ101-1-1111-1-111-1-111-1-111-1-1−ii−ii−ii−ii1-1-1111-1-111-1-111-1-111-1-1−ii−ii−ii−ii1-1-1111-1-111-1-111-1-111-1-1−ii−ii−ii−ii1-1-1111-1-111-1-111-1-111-1-1−ii−ii−ii−ii1-1-1111-1-111-1-111-1-111-1-1−ii−ii−ii−ii1-1-1111-1-111-1-111-1-111-1-1−ii−ii−ii−ii1-1-1111-1-111-1-111-1-111-1-1−ii−ii−ii−ii1-1-1111-1-111-1-111-1-111-1-1−ii−ii−ii−ii
χ111-1-1111-1-111-1-1-1-111-1-111i−ii−i−ii−ii1-1-1111-1-111-1-1-1-111-1-111i−ii−i−ii−ii1-1-1111-1-111-1-1-1-111-1-111i−ii−i−ii−ii1-1-1111-1-111-1-1-1-111-1-111i−ii−i−ii−ii1-1-1111-1-111-1-1-1-111-1-111i−ii−i−ii−ii1-1-1111-1-111-1-1-1-111-1-111i−ii−i−ii−ii1-1-1111-1-111-1-1-1-111-1-111i−ii−i−ii−ii1-1-1111-1-111-1-1-1-111-1-111i−ii−i−ii−ii
χ121-1-1111-1-111-1-1-1-111-1-111−ii−iii−ii−i1-1-1111-1-111-1-1-1-111-1-111−ii−iii−ii−i1-1-1111-1-111-1-1-1-111-1-111−ii−iii−ii−i1-1-1111-1-111-1-1-1-111-1-111−ii−iii−ii−i1-1-1111-1-111-1-1-1-111-1-111−ii−iii−ii−i1-1-1111-1-111-1-1-1-111-1-111−ii−iii−ii−i1-1-1111-1-111-1-1-1-111-1-111−ii−iii−ii−i1-1-1111-1-111-1-1-1-111-1-111−ii−iii−ii−i
χ131-1-1111-1-1-1-11111-1-1-1-111i−i−iii−i−ii1-1-1111-1-1-1-11111-1-1-1-111i−i−iii−i−ii1-1-1111-1-1-1-11111-1-1-1-111i−i−iii−i−ii1-1-1111-1-1-1-11111-1-1-1-111i−i−iii−i−ii1-1-1111-1-1-1-11111-1-1-1-111i−i−iii−i−ii1-1-1111-1-1-1-11111-1-1-1-111i−i−iii−i−ii1-1-1111-1-1-1-11111-1-1-1-111i−i−iii−i−ii1-1-1111-1-1-1-11111-1-1-1-111i−i−iii−i−ii
χ141-1-1111-1-1-1-11111-1-1-1-111−iii−i−iii−i1-1-1111-1-1-1-11111-1-1-1-111−iii−i−iii−i1-1-1111-1-1-1-11111-1-1-1-111−iii−i−iii−i1-1-1111-1-1-1-11111-1-1-1-111−iii−i−iii−i1-1-1111-1-1-1-11111-1-1-1-111−iii−i−iii−i1-1-1111-1-1-1-11111-1-1-1-111−iii−i−iii−i1-1-1111-1-1-1-11111-1-1-1-111−iii−i−iii−i1-1-1111-1-1-1-11111-1-1-1-111−iii−i−iii−i
χ151-1-1111-1-1-1-111-1-11111-1-1i−i−ii−iii−i1-1-1111-1-1-1-111-1-11111-1-1i−i−ii−iii−i1-1-1111-1-1-1-111-1-11111-1-1i−i−ii−iii−i1-1-1111-1-1-1-111-1-11111-1-1i−i−ii−iii−i1-1-1111-1-1-1-111-1-11111-1-1i−i−ii−iii−i1-1-1111-1-1-1-111-1-11111-1-1i−i−ii−iii−i1-1-1111-1-1-1-111-1-11111-1-1i−i−ii−iii−i1-1-1111-1-1-1-111-1-11111-1-1i−i−ii−iii−i
χ161-1-1111-1-1-1-111-1-11111-1-1−iii−ii−i−ii1-1-1111-1-1-1-111-1-11111-1-1−iii−ii−i−ii1-1-1111-1-1-1-111-1-11111-1-1−iii−ii−i−ii1-1-1111-1-1-1-111-1-11111-1-1−iii−ii−i−ii1-1-1111-1-1-1-111-1-11111-1-1−iii−ii−i−ii1-1-1111-1-1-1-111-1-11111-1-1−iii−ii−i−ii1-1-1111-1-1-1-111-1-11111-1-1−iii−ii−i−ii1-1-1111-1-1-1-111-1-11111-1-1−iii−ii−i−ii
χ172222-2-2-2-2000000002-22-2000000002222-2-2-2-2000000002-22-2000000002222-2-2-2-2000000002-22-2000000002222-2-2-2-2000000002-22-2000000002222-2-2-2-2000000002-22-2000000002222-2-2-2-2000000002-22-2000000002222-2-2-2-2000000002-22-2000000002222-2-2-2-2000000002-22-200000000
χ182222-2-2-2-200000000-22-22000000002222-2-2-2-200000000-22-22000000002222-2-2-2-200000000-22-22000000002222-2-2-2-200000000-22-22000000002222-2-2-2-200000000-22-22000000002222-2-2-2-200000000-22-22000000002222-2-2-2-200000000-22-22000000002222-2-2-2-200000000-22-2200000000
χ1922-2-22-22-200002i−2i2i−2i00000000000022-2-22-22-200002i−2i2i−2i00000000000022-2-22-22-200002i−2i2i−2i00000000000022-2-22-22-200002i−2i2i−2i00000000000022-2-22-22-200002i−2i2i−2i00000000000022-2-22-22-200002i−2i2i−2i00000000000022-2-22-22-200002i−2i2i−2i00000000000022-2-22-22-200002i−2i2i−2i000000000000
χ2022-2-22-22-20000−2i2i−2i2i00000000000022-2-22-22-20000−2i2i−2i2i00000000000022-2-22-22-20000−2i2i−2i2i00000000000022-2-22-22-20000−2i2i−2i2i00000000000022-2-22-22-20000−2i2i−2i2i00000000000022-2-22-22-20000−2i2i−2i2i00000000000022-2-22-22-20000−2i2i−2i2i00000000000022-2-22-22-20000−2i2i−2i2i000000000000
χ2122-2-2-22-222i−2i2i−2i000000000000000022-2-2-22-222i−2i2i−2i000000000000000022-2-2-22-222i−2i2i−2i000000000000000022-2-2-22-222i−2i2i−2i000000000000000022-2-2-22-222i−2i2i−2i000000000000000022-2-2-22-222i−2i2i−2i000000000000000022-2-2-22-222i−2i2i−2i000000000000000022-2-2-22-222i−2i2i−2i0000000000000000
χ2222-2-2-22-22−2i2i−2i2i000000000000000022-2-2-22-22−2i2i−2i2i000000000000000022-2-2-22-22−2i2i−2i2i000000000000000022-2-2-22-22−2i2i−2i2i000000000000000022-2-2-22-22−2i2i−2i2i000000000000000022-2-2-22-22−2i2i−2i2i000000000000000022-2-2-22-22−2i2i−2i2i000000000000000022-2-2-22-22−2i2i−2i2i0000000000000000
χ232-22-22-2-2200002i−2i−2i2i0000000000002-22-22-2-2200002i−2i−2i2i0000000000002-22-22-2-2200002i−2i−2i2i0000000000002-22-22-2-2200002i−2i−2i2i0000000000002-22-22-2-2200002i−2i−2i2i0000000000002-22-22-2-2200002i−2i−2i2i0000000000002-22-22-2-2200002i−2i−2i2i0000000000002-22-22-2-2200002i−2i−2i2i000000000000
χ242-22-22-2-220000−2i2i2i−2i0000000000002-22-22-2-220000−2i2i2i−2i0000000000002-22-22-2-220000−2i2i2i−2i0000000000002-22-22-2-220000−2i2i2i−2i0000000000002-22-22-2-220000−2i2i2i−2i0000000000002-22-22-2-220000−2i2i2i−2i0000000000002-22-22-2-220000−2i2i2i−2i0000000000002-22-22-2-220000−2i2i2i−2i000000000000
χ252-22-2-222-22i−2i−2i2i00000000000000002-22-2-222-22i−2i−2i2i00000000000000002-22-2-222-22i−2i−2i2i00000000000000002-22-2-222-22i−2i−2i2i00000000000000002-22-2-222-22i−2i−2i2i00000000000000002-22-2-222-22i−2i−2i2i00000000000000002-22-2-222-22i−2i−2i2i00000000000000002-22-2-222-22i−2i−2i2i0000000000000000
χ262-22-2-222-2−2i2i2i−2i00000000000000002-22-2-222-2−2i2i2i−2i00000000000000002-22-2-222-2−2i2i2i−2i00000000000000002-22-2-222-2−2i2i2i−2i00000000000000002-22-2-222-2−2i2i2i−2i00000000000000002-22-2-222-2−2i2i2i−2i00000000000000002-22-2-222-2−2i2i2i−2i00000000000000002-22-2-222-2−2i2i2i−2i0000000000000000
χ272-2-22-2-222000000002-2-22000000002-2-22-2-222000000002-2-22000000002-2-22-2-222000000002-2-22000000002-2-22-2-222000000002-2-22000000002-2-22-2-222000000002-2-22000000002-2-22-2-222000000002-2-22000000002-2-22-2-222000000002-2-22000000002-2-22-2-222000000002-2-2200000000
χ282-2-22-2-22200000000-222-2000000002-2-22-2-22200000000-222-2000000002-2-22-2-22200000000-222-2000000002-2-22-2-22200000000-222-2000000002-2-22-2-22200000000-222-2000000002-2-22-2-22200000000-222-2000000002-2-22-2-22200000000-222-2000000002-2-22-2-22200000000-222-200000000
χ29111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3011111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ31111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ32111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3311111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ3411111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ3511111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ3611111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ371-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−i-111-1-1-111-1-111-1-111-1-111−ii−ii−ii−ii-111-1-1-111-1-111-1-111-1-111−ii−ii−ii−ii
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χ571111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ5811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii
χ59111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
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χ17522222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+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+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521−521−521−521−521−521−521−521−52−1+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+521−521−521+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+5200000000000000000000000000000000000000000000000000000000
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χ2102-2-2222-2-2-2-22222-2-2-2-222−2i2i2i−2i−2i2i2i−2i-222-2-2-22222-2-2-2-22222-2-22i−2i−2i2i2i−2i−2i2i−1−521+521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1+521−521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ191+52−1−52−1−521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ71−52−1+52−1+521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000000000000000000000000000000000000
χ2112-2-2222-2-2-2-222-2-22222-2-22i−2i−2i2i−2i2i2i−2i-222-2-2-22222-2-222-2-2-2-222−2i2i2i−2i2i−2i−2i2i−1−521+521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+521+52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1+521−521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−521−52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ191+52−1−52−1−521+521+521+52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ71−52−1+52−1+521−521−521−52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000000000000000000000000000000000000
χ2122-2-2222-2-2-2-222-2-22222-2-2−2i2i2i−2i2i−2i−2i2i-222-2-2-22222-2-222-2-2-2-2222i−2i−2i2i−2i2i2i−2i−1−521+521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+521+52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1+521−521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−521−52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ191+52−1−52−1−521+521+521+52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ71−52−1+52−1+521−521−521−52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000000000000000000000000000000000000
χ2134444-4-4-4-4000000004-44-400000000-4-4-4-4444400000000-44-4400000000−1−5−1−5−1−5−1−51+51+51+51+500000000−1−51+5−1−51+500000000−1+5−1+5−1+5−1+51−51−51−51−500000000−1+51−5−1+51−5000000001+51+51+51+5−1−5−1−5−1−5−1−5000000001+5−1−51+5−1−5000000001−51−51−51−5−1+5−1+5−1+5−1+5000000001−5−1+51−5−1+50000000000000000000000000000000000000000000000000000000000000000
χ2144444-4-4-4-400000000-44-4400000000-4-4-4-44444000000004-44-400000000−1−5−1−5−1−5−1−51+51+51+51+5000000001+5−1−51+5−1−500000000−1+5−1+5−1+5−1+51−51−51−51−5000000001−5−1+51−5−1+5000000001+51+51+51+5−1−5−1−5−1−5−1−500000000−1−51+5−1−51+5000000001−51−51−51−5−1+5−1+5−1+5−1+500000000−1+51−5−1+51−50000000000000000000000000000000000000000000000000000000000000000
χ21544-4-44-44-400004i−4i4i−4i000000000000-4-444-44-440000−4i4i−4i4i000000000000−1−5−1−51+51+5−1−51+5−1−51+50000−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7000000000000−1+5−1+51−51−5−1+51−5−1+51−50000−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ190000000000001+51+5−1−5−1−51+5−1−51+5−1−500002ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ70000000000001−51−5−1+5−1+51−5−1+51−5−1+500002ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000000000000000000000000000000000000000000000
χ21644-4-44-44-40000−4i4i−4i4i000000000000-4-444-44-4400004i−4i4i−4i000000000000−1−5−1−51+51+5−1−51+5−1−51+500002ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7000000000000−1+5−1+51−51−5−1+51−5−1+51−500002ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ190000000000001+51+5−1−5−1−51+5−1−51+5−1−50000−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000001−51−5−1+5−1+51−5−1+51−5−1+50000−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000000000000000000000000000000000000000
χ21744-4-4-44-444i−4i4i−4i0000000000000000-4-4444-44-4−4i4i−4i4i0000000000000000−1−5−1−51+51+51+5−1−51+5−1−5−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000000000−1+5−1+51−51−51−5−1+51−5−1+5−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000000000001+51+5−1−5−1−5−1−51+5−1−51+52ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ700000000000000001−51−5−1+5−1+5−1+51−5−1+51−52ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000000000000000
χ21844-4-4-44-44−4i4i−4i4i0000000000000000-4-4444-44-44i−4i4i−4i0000000000000000−1−5−1−51+51+51+5−1−51+5−1−52ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ70000000000000000−1+5−1+51−51−51−5−1+51−5−1+52ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ1900000000000000001+51+5−1−5−1−5−1−51+5−1−51+5−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ700000000000000001−51−5−1+5−1+5−1+51−5−1+51−5−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000000000000000
χ2194-44-44-4-4400004i−4i−4i4i000000000000-44-44-444-40000−4i4i4i−4i000000000000−1−51+5−1−51+5−1−51+51+5−1−50000−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7000000000000−1+51−5−1+51−5−1+51−51−5−1+50000−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ190000000000001+5−1−51+5−1−51+5−1−5−1−51+500002ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000001−5−1+51−5−1+51−5−1+5−1+51−500002ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000000000000000000000000000000000000000
χ2204-44-44-4-440000−4i4i4i−4i000000000000-44-44-444-400004i−4i−4i4i000000000000−1−51+5−1−51+5−1−51+51+5−1−500002ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7000000000000−1+51−5−1+51−5−1+51−51−5−1+500002ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ190000000000001+5−1−51+5−1−51+5−1−5−1−51+50000−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ70000000000001−5−1+51−5−1+51−5−1+5−1+51−50000−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000000000000000000000000000000000000000000000
χ2214-44-4-444-44i−4i−4i4i0000000000000000-44-444-4-44−4i4i4i−4i0000000000000000−1−51+5−1−51+51+5−1−5−1−51+5−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ70000000000000000−1+51−5−1+51−51−5−1+5−1+51−5−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ1900000000000000001+5−1−51+5−1−5−1−51+51+5−1−52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ700000000000000001−5−1+51−5−1+5−1+51−51−5−1+52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000000000000000
χ2224-44-4-444-4−4i4i4i−4i0000000000000000-44-444-4-444i−4i−4i4i0000000000000000−1−51+5−1−51+51+5−1−5−1−51+52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000000000−1+51−5−1+51−51−5−1+5−1+51−52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000000000001+5−1−51+5−1−5−1−51+51+5−1−5−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ700000000000000001−5−1+51−5−1+5−1+51−51−5−1+5−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000000000000000
χ2234-4-44-4-444000000004-4-4400000000-444-444-4-400000000-444-400000000−1−51+51+5−1−51+51+5−1−5−1−500000000−1−51+51+5−1−500000000−1+51−51−5−1+51−51−5−1+5−1+500000000−1+51−51−5−1+5000000001+5−1−5−1−51+5−1−5−1−51+51+5000000001+5−1−5−1−51+5000000001−5−1+5−1+51−5−1+5−1+51−51−5000000001−5−1+5−1+51−50000000000000000000000000000000000000000000000000000000000000000
χ2244-4-44-4-44400000000-444-400000000-444-444-4-4000000004-4-4400000000−1−51+51+5−1−51+51+5−1−5−1−5000000001+5−1−5−1−51+500000000−1+51−51−5−1+51−51−5−1+5−1+5000000001−5−1+5−1+51−5000000001+5−1−5−1−51+5−1−5−1−51+51+500000000−1−51+51+5−1−5000000001−5−1+5−1+51−5−1+5−1+51−51−500000000−1+51−51−5−1+50000000000000000000000000000000000000000000000000000000000000000

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