Finite Group Databasebeta

← Group #12097398

Character table — Group #12097398

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224
size111122222244441111222222444422224444448888222244444488882222444444888822224444448888555510101010101020202020555510101010101020202020111122222244441111222222444422224444448888222244444488882222444444888822224444448888555510101010101020202020555510101010101020202020
order1244248888888822442488888888510202010204040404040404040510202010204040404040404040101020201020404040404040404010102020102040404040404040404444448888888844444488888888224424888888882244248888888810102020102040404040404040401010202010204040404040404040101020201020404040404040404010102020102040404040404040404444448888888844444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ4111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ511-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i
χ611-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii
χ711-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii
χ811-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i
χ92222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-200000000
χ1022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-200000000
χ112-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−20000
χ122-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−220000
χ132-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−220000
χ142-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−20000
χ15111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ17111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ18111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ1911-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii-1-1111-1-1-111−ii−ii11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii-1-1111-1-1-111−ii−ii
χ2011-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i-1-1111-1-1-111i−ii−i11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i-1-1111-1-1-111i−ii−i
χ2111-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii-1-1111-111-1-1−iii−i-1-1111-111-1-1−iii−i11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii-1-1111-111-1-1−iii−i-1-1111-111-1-1−iii−i
χ2211-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i-1-1111-111-1-1i−i−ii-1-1111-111-1-1i−i−ii11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i-1-1111-111-1-1i−i−ii-1-1111-111-1-1i−i−ii
χ232222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-200000000-2-2-2-22200000000-2-2-2-222000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-200000000-2-2-2-22200000000-2-2-2-22200000000
χ2422-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-200000000-2-222-2200000000-2-222-220000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-200000000-2-222-2200000000-2-222-2200000000
χ252-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−20000-22−2i2i00−i2i2−220000-22−2i2i00−i2i2−2200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−20000-22−2i2i00−i2i2−220000-22−2i2i00−i2i2−220000
χ262-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−220000-22−2i2i00i2−i22−20000-22−2i2i00i2−i22−200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−220000-22−2i2i00i2−i22−20000-22−2i2i00i2−i22−20000
χ272-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−220000-222i−2i00−i2i22−20000-222i−2i00−i2i22−200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−220000-222i−2i00−i2i22−20000-222i−2i00−i2i22−20000
χ282-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−20000-222i−2i00i2−i2−220000-222i−2i00i2−i2−2200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−20000-222i−2i00i2−i2−220000-222i−2i00i2−i2−220000
χ2911111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ301111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ31111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111iiiiii−i−i−i−iii−i−i−i−i−i−i−i−iiiii−i−iii111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111iiiiii−i−i−i−iii−i−i−i−i−i−i−i−iiiii−i−iii
χ32111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1iiiiii−i−i−i−i−i−iii−i−i−i−i−i−iiiiiii−i−i111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1iiiiii−i−i−i−i−i−iii−i−i−i−i−i−iiiiiii−i−i
χ3311-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii-1-1111-1-1-111−ii−iiii−i−i−iiii−i−i-11-11−i−iiii−i−i−iii1-11-111-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii-1-1111-1-1-111−ii−iiii−i−i−iiii−i−i-11-11−i−iiii−i−i−iii1-11-1
χ3411-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i-1-1111-1-1-111i−ii−iii−i−i−iiii−i−i1-11-1−i−iiii−i−i−iii-11-1111-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i-1-1111-1-1-111i−ii−iii−i−i−iiii−i−i1-11-1−i−iiii−i−i−iii-11-11
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χ3822-2-22-200000000-2-222-220000000022-2-22-20000000022-2-22-200000000-2-222-2200000000-2-222-22000000002i2i−2i−2i2i−2i00000000−2i−2i2i2i−2i2i0000000022-2-22-200000000-2-222-220000000022-2-22-20000000022-2-22-200000000-2-222-2200000000-2-222-22000000002i2i−2i−2i2i−2i00000000−2i−2i2i2i−2i2i00000000
χ392-22i−2i00i2−i22−20000-22−2i2i00−i2i2−2200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−20000-22−2i2i00−i2i2−220000-22−2i2i00−i2i2−2200002i−2i-2200−22i2−i20000−2i2i2-2002−2−i2i200002-22i−2i00i2−i22−20000-22−2i2i00−i2i2−2200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−20000-22−2i2i00−i2i2−220000-22−2i2i00−i2i2−2200002i−2i-2200−22i2−i20000−2i2i2-2002−2−i2i20000
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χ4311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii
χ441111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−i
χ45111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111−i−i−i−i−i−iiiii−i−iiiiiiiii−i−i−i−iii−i−i111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111−i−i−i−i−i−iiiii−i−iiiiiiiii−i−i−i−iii−i−i
χ46111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1−i−i−i−i−i−iiiiiii−i−iiiiiii−i−i−i−i−i−iii111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1−i−i−i−i−i−iiiiiii−i−iiiiiii−i−i−i−i−i−iii
χ4711-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii-1-1111-1-1-111−ii−ii−i−iiii−i−i−iii1-11-1ii−i−i−iiii−i−i-11-1111-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii-1-1111-1-1-111−ii−ii−i−iiii−i−i−iii1-11-1ii−i−i−iiii−i−i-11-11
χ4811-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i-1-1111-1-1-111i−ii−i−i−iiii−i−i−iii-11-11ii−i−i−iiii−i−i1-11-111-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i-1-1111-1-1-111i−ii−i−i−iiii−i−i−iii-11-11ii−i−i−iiii−i−i1-11-1
χ4911-1-1-11-1-111i−i−ii-1-1111-111-1-1−iii−i11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii-1-1111-111-1-1−iii−i-1-1111-111-1-1−iii−i−i−iiii−iii−i−i1-1-11ii−i−i−ii−i−iii-111-111-1-1-11-1-111i−i−ii-1-1111-111-1-1−iii−i11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii-1-1111-111-1-1−iii−i-1-1111-111-1-1−iii−i−i−iiii−iii−i−i1-1-11ii−i−i−ii−i−iii-111-1
χ5011-1-1-11-1-111−iii−i-1-1111-111-1-1i−i−ii11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i-1-1111-111-1-1i−i−ii-1-1111-111-1-1i−i−ii−i−iiii−iii−i−i-111-1ii−i−i−ii−i−iii1-1-1111-1-1-11-1-111−iii−i-1-1111-111-1-1i−i−ii11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i-1-1111-111-1-1i−i−ii-1-1111-111-1-1i−i−ii−i−iiii−iii−i−i-111-1ii−i−i−ii−i−iii1-1-11
χ512222-2-200000000-2-2-2-222000000002222-2-2000000002222-2-200000000-2-2-2-22200000000-2-2-2-22200000000−2i−2i−2i−2i2i2i000000002i2i2i2i−2i−2i000000002222-2-200000000-2-2-2-222000000002222-2-2000000002222-2-200000000-2-2-2-22200000000-2-2-2-22200000000−2i−2i−2i−2i2i2i000000002i2i2i2i−2i−2i00000000
χ5222-2-22-200000000-2-222-220000000022-2-22-20000000022-2-22-200000000-2-222-2200000000-2-222-2200000000−2i−2i2i2i−2i2i000000002i2i−2i−2i2i−2i0000000022-2-22-200000000-2-222-220000000022-2-22-20000000022-2-22-200000000-2-222-2200000000-2-222-2200000000−2i−2i2i2i−2i2i000000002i2i−2i−2i2i−2i00000000
χ532-22i−2i00i2−i22−20000-22−2i2i00−i2i2−2200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−20000-22−2i2i00−i2i2−220000-22−2i2i00−i2i2−220000−2i2i2-2002−2−i2i200002i−2i-2200−22i2−i200002-22i−2i00i2−i22−20000-22−2i2i00−i2i2−2200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−20000-22−2i2i00−i2i2−220000-22−2i2i00−i2i2−220000−2i2i2-2002−2−i2i200002i−2i-2200−22i2−i20000
χ542-22i−2i00−i2i2−220000-22−2i2i00i2−i22−200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−220000-22−2i2i00i2−i22−20000-22−2i2i00i2−i22−20000−2i2i2-200−22i2−i200002i−2i-22002−2−i2i200002-22i−2i00−i2i2−220000-22−2i2i00i2−i22−200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−220000-22−2i2i00i2−i22−20000-22−2i2i00i2−i22−20000−2i2i2-200−22i2−i200002i−2i-22002−2−i2i20000
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χ572222222222222222222222222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000002222222222222222222222222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000000000000
χ582222222222-2-2-2-22222222222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000000000002222222222-2-2-2-22222222222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+520000000000000000000000000000
χ59222222-2-2-2-222-2-2222222-2-2-2-222-2-2−1+52−1+52−1+52−1+52−1+52−1+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+52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+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+52−1−52−1−521+521+520000000000000000000000000000222222-2-2-2-222-2-2222222-2-2-2-222-2-2−1+52−1+52−1+52−1+52−1+52−1+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+52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+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+52−1−52−1−521+521+520000000000000000000000000000
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χ2234-4−4i4i002i2−2i2−22220000-444i−4i00−2i22i222−220000−1−51+52ζ6+2ζ14−2ζ6−2ζ1400ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000−1+51−52ζ22+2ζ38−2ζ22−2ζ3800ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700001+5−1−5−2ζ6−2ζ142ζ6+2ζ1400−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900001−5−1+5−2ζ22−2ζ382ζ22+2ζ3800−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000000000000000-444i−4i00−2i22i222−2200004-4−4i4i002i2−2i2−222200001+5−1−5−2ζ6−2ζ142ζ6+2ζ1400−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900001−5−1+5−2ζ22−2ζ382ζ22+2ζ3800−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000−1−51+52ζ6+2ζ14−2ζ6−2ζ1400ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000−1+51−52ζ22+2ζ38−2ζ22−2ζ3800ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000000000000000
χ2244-4−4i4i00−2i22i222−220000-444i−4i002i2−2i2−22220000−1−51+52ζ6+2ζ14−2ζ6−2ζ1400−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000−1+51−52ζ22+2ζ38−2ζ22−2ζ3800−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700001+5−1−5−2ζ6−2ζ142ζ6+2ζ1400ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900001−5−1+5−2ζ22−2ζ382ζ22+2ζ3800ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000000000000000-444i−4i002i2−2i2−222200004-4−4i4i00−2i22i222−2200001+5−1−5−2ζ6−2ζ142ζ6+2ζ1400ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900001−5−1+5−2ζ22−2ζ382ζ22+2ζ3800ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000−1−51+52ζ6+2ζ14−2ζ6−2ζ1400−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000−1+51−52ζ22+2ζ38−2ζ22−2ζ3800−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.