Finite Group Databasebeta

← Group #12103107

Character table — Group #12103107

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size111111112222222222222222222222222222444444444444444444444444888888888888888888881010101010101010101010101010101040404040111111112222222222222222222222222222444444444444444444444444888888888888888888881010101010101010101010101010101040404040
order1222222244445588888888101010101010101010101010101020202020202020204040404040404040404040404040404044442020202020202020202020202020202044444444888888884444222222224444101088888888101010101010101010101010101020202020202020204040404040404040404040404040404044442020202020202020202020202020202044444444888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ611111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ711111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1
χ811111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111
χ9111-1-1-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1i−i1-1111-1-1-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1i−i1-1
χ10111-1-1-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-1iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111−ii-11111-1-1-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-1iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111−ii-11
χ11111-1-1-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−ii-11111-1-1-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−ii-11
χ12111-1-1-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111i−i1-1111-1-1-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111i−i1-1
χ13111-1-1-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−ii1-1111-1-1-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−ii1-1
χ14111-1-1-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1i−i-11111-1-1-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1i−i-11
χ15111-1-1-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-1−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111i−i-11111-1-1-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-1−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111i−i-11
χ16111-1-1-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−ii1-1111-1-1-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−ii1-1
χ17222222222222−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000222222222222−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ18222222222222−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000222222222222−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ19222222222222−1+52−1−52-2-2-2-2-2-2-2-2−1+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+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000222222222222−1+52−1−52-2-2-2-2-2-2-2-2−1+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+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ20222222222222−1+52−1−52-2-2-2-2-2-2-2-2−1+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+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000222222222222−1+52−1−52-2-2-2-2-2-2-2-2−1+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+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ21222222222222−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000222222222222−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ22222222222222−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000222222222222−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ23222222222222−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000222222222222−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ24222222222222−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000222222222222−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ2522222222-2-2-2-2220000000022222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000022-2-222-2-200000000000022222222-2-2-2-2220000000022222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000022-2-222-2-2000000000000
χ2622222222-2-2-2-2220000000022222222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-222-2-22200000000000022222222-2-2-2-2220000000022222222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-222-2-222000000000000
χ27222-2-2-2-222-2-22−1+52−1−522i2i2i2i−2i−2i−2i−2i−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−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ142i−2i2-2−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000222-2-2-2-222-2-22−1+52−1−522i2i2i2i−2i−2i−2i−2i−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−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ142i−2i2-2−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
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χ1954-44-44-44-40000−1−5−1+52i2−2i22i2−2i2−2i22i2−2i22i21+5−1−51−5−1+51+5−1−51+51−5−1+51−5−1−5−1+51+51−500000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000000000000000000-44-44-44-4400001+51−5−2i22i2−2i22i22i2−2i22i2−2i2−1−51+5−1+51−5−1−51+5−1−5−1+51−5−1+51+51−5−1−5−1+500000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000000000000000000
χ1964-44-44-44-40000−1−5−1+5−2i22i2−2i22i22i2−2i22i2−2i21+5−1−51−5−1+51+5−1−51+51−5−1+51−5−1−5−1+51+51−500000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000000000000000000-44-44-44-4400001+51−52i2−2i22i2−2i2−2i22i2−2i22i2−1−51+5−1+51−5−1−51+5−1−5−1+51−5−1+51+51−5−1−5−1+500000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000000000000000000
χ1974-4-44-4-444-44-44−1+5−1−5000000001−51−51+51+5−1+51−51−5−1−51+51+5−1+5−1−5−1+5−1−51−5−1+51+5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000-444-444-4-44-44-41−51+500000000−1+5−1+5−1−5−1−51−5−1+5−1+51+5−1−5−1−51−51+51−51+5−1+51−5−1−51+51−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000
χ1984-4-44-4-444-44-44−1−5−1+5000000001+51+51−51−5−1−51+51+5−1+51−51−5−1−5−1+5−1−5−1+51+5−1−51−5−1+5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000-444-444-4-44-44-41+51−500000000−1−5−1−5−1+5−1+51+5−1−5−1−51−5−1+5−1+51+51−51+51−5−1−51+5−1+51−51+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000
χ1994-4-4-444-44-4-444−1+5−1−5000000001−51−51+51+51−5−1+5−1+51+5−1−5−1−51−51+5−1+5−1−51−5−1+51+5−1−51−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000-4444-4-44-444-4-41−51+500000000−1+5−1+5−1−5−1−5−1+51−51−5−1−51+51+5−1+5−1−51−51+5−1+51−5−1−51+5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000
χ2004-4-4-444-44-4-444−1−5−1+5000000001+51+51−51−51+5−1−5−1−51−5−1+5−1+51+51−5−1−5−1+51+5−1−51−5−1+51+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000-4444-4-44-444-4-41+51−500000000−1−5−1−5−1+5−1+5−1−51+51+5−1+51−51−5−1−5−1+51+51−5−1−51+5−1+51−5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000

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