Finite Group Databasebeta

← Group #12966048

Character table — Group #12966048

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size112222222222222224444444444444444444444444488888888888888888888888888888888888888810101010101010101616161616161616161616162020202020202020202020204040404040404040
order1222222225510101010101022222222444444101010101010101010101010244444410101010101010101010101010101010101010102020202020202020202020202222444420202020202020202020202022222244444424444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1
χ911111111111111111-1-111-1-111-1-111-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111111-1-111-1-111-1-111-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-111
χ1111111111111111111-1-111-1-1-1-1-1-111-1-1111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111
χ1211111111111111111-1-111-1-1-1-1-1-111-1-1111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-111-1-1
χ1311111111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1411111111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ1511111111111111111-1-1-1-111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111111111111-1-1-1-111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ1711-1-1-1-111111-1-1-1-1111-11-11-1111-11-11-1-1-1-1-1-1-1111111-11-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-11-11-11-11-11-11-11-11-11-1
χ1811-1-1-1-111111-1-1-1-1111-11-11-1111-11-11-1-1-1-1-1-1-1111111-11-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-11-11-11-11-11-11-11-11-11-11
χ1911-1-1-1-111111-1-1-1-1111-11-11-1-1-11-11-11-1-1-1-1-1-1-11111111-11-11-1111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1111-11-11-11-11-11-1-11-11-11-11
χ2011-1-1-1-111111-1-1-1-1111-11-11-1-1-11-11-11-1-1-1-1-1-1-11111111-11-11-1111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-11-11-11-11-11-111-11-11-11-1
χ2111-1-1-1-111111-1-1-1-1111-1-11-11111-1-11-11-1-1-1-1-1-1111111-11-1-11-1111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1111-1-11-111-1-11-111-11-1-11-11
χ2211-1-1-1-111111-1-1-1-1111-1-11-11111-1-11-11-1-1-1-1-1-1111111-11-1-11-1111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-111-11-1-111-11-1-11-111-11-1
χ2311-1-1-1-111111-1-1-1-1111-1-11-11-1-11-1-11-11-1-1-1-1-1-11111111-111-11-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-11-1-11-111-1-11-11-11-111-11-1
χ2411-1-1-1-111111-1-1-1-1111-1-11-11-1-11-1-11-11-1-1-1-1-1-11111111-111-11-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-1-111-11-1-111-11-11-11-1-11-11
χ2511-1-1-1-111111-1-1-1-111-111-1-1111-111-1-11-1-1-1-1-1-1111111-1-111-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-111-1-11-111-1-111-1-111-1-11
χ2611-1-1-1-111111-1-1-1-111-111-1-1111-111-1-11-1-1-1-1-1-1111111-1-111-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111-1-111-11-1-111-1-111-1-111-1
χ2711-1-1-1-111111-1-1-1-111-111-1-11-1-1-111-1-11-1-1-1-1-1-111111111-1-111-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-111-1-11-111-1-11-111-1-111-1
χ2811-1-1-1-111111-1-1-1-111-111-1-11-1-1-111-1-11-1-1-1-1-1-111111111-1-111-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11-1-111-11-1-111-11-1-111-1-11
χ2911-1-1-1-111111-1-1-1-111-11-111-111-11-111-1-1-1-1-1-1-1111111-1-11-111-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-11-111-1-11-111-11-1-11-111-1
χ3011-1-1-1-111111-1-1-1-111-11-111-111-11-111-1-1-1-1-1-1-1111111-1-11-111-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-11-11-1-111-11-1-11-111-11-1-11
χ3111-1-1-1-111111-1-1-1-111-11-111-1-1-1-11-111-1-1-1-1-1-1-111111111-11-1-11-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111-11-111-1-11-111-1-111-11-1-11
χ3211-1-1-1-111111-1-1-1-111-11-111-1-1-1-11-111-1-1-1-1-1-1-111111111-11-1-11-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1111-11-1-111-11-1-111-1-11-111-1
χ33222222222−1+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+52−1−52−1−52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ34222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222-2-2222222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+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+52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ35222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-22222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222-2-2-2-2−1+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+52−1−521−521+521−521+521−521+521−521+5200000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ36222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-22222−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ37222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-222-2-222-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-222-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ38222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-2-2-222-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222-2-2221−521+521−521+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+52−1−52−1+52−1−521−521+521−521+5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ39222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222-2-2-2-222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2-2221−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ40222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-2-2-2-2-222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22222-2-21−521+521−521+521−521+521−521+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+52−1−52−1+52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ41222222222−1−52−1+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+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ42222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222-2-2222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52000000001+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
χ43222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-22222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222-2-2-2-2−1−52−1+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+521+521−521+521−521+521−521+521−5200000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000000000000000
χ44222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-22222−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ45222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-222-2-222-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-222-2-21+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ46222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-2-2-2-222-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-222-2-2221+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ47222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222-2-2-2-222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2-2221+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
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χ10844-44-44-44-4−1−5−1+51+51+51−51−5−1−5−1+500-440000004-400−1−51+5−1−5−1+51−5−1+51+5−1−51+51−5−1+51−5000000000001+51−5−1−5−1+50000000000000000−1−5−1+51+51−500000000000000000000000000000000000000000000
χ10944-4-4444-4-4−1+5−1−51−51−51+51+5−1+5−1−500004-4000000-441−5−1+5−1+51+5−1−5−1−5−1+51−51−5−1−51+51+5000000000000000−1+5−1−51−51+500000000000000001−51+5−1+5−1−50000000000000000000000000000000000000000
χ11044-4-4444-4-4−1+5−1−51−51−51+51+5−1+5−1−50000-440000004-41−5−1+5−1+51+5−1−5−1−5−1+51−51−5−1−51+51+50000000000000001−51+5−1+5−1−50000000000000000−1+5−1−51−51+50000000000000000000000000000000000000000
χ11144-4-4444-4-4−1−5−1+51+51+51−51−5−1−5−1+500004-4000000-441+5−1−5−1−51−5−1+5−1+5−1−51+51+5−1+51−51−5000000000000000−1−5−1+51+51−500000000000000001+51−5−1−5−1+50000000000000000000000000000000000000000
χ11244-4-4444-4-4−1−5−1+51+51+51−51−5−1−5−1+50000-440000004-41+5−1−5−1−51−5−1+5−1+5−1−51+51+5−1+51−51−50000000000000001+51−5−1−5−1+50000000000000000−1−5−1+51+51−50000000000000000000000000000000000000000
χ1138-80000000880000-8-80000004-400000000000000000000000000000000000004-44-400000000000000000000000000000000000000000000000000000000
χ1148-80000000880000-8-8000000-440000000000000000000000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ1158-80000000−2+25−2−254ζ−4ζ4−4ζ+4ζ44ζ2−4ζ3−4ζ2+4ζ32−252+250000004-40000000000000000000000000000000000000−1+51−5−1−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000000000000000000000000000000000000000000000000000
χ1168-80000000−2+25−2−254ζ−4ζ4−4ζ+4ζ44ζ2−4ζ3−4ζ2+4ζ32−252+25000000-4400000000000000000000000000000000000001−5−1+51+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000000000000000000000000000000000000000000000000000
χ1178-80000000−2+25−2−25−4ζ+4ζ44ζ−4ζ4−4ζ2+4ζ34ζ2−4ζ32−252+250000004-40000000000000000000000000000000000000−1+51−5−1−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000000000000000000000000000000000000000000000000000
χ1188-80000000−2+25−2−25−4ζ+4ζ44ζ−4ζ4−4ζ2+4ζ34ζ2−4ζ32−252+25000000-4400000000000000000000000000000000000001−5−1+51+5−1−52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000000000000000000000000000000000000000000000000000
χ1198-80000000−2−25−2+254ζ2−4ζ3−4ζ2+4ζ3−4ζ+4ζ44ζ−4ζ42+252−250000004-40000000000000000000000000000000000000−1−51+5−1+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000000000000000000000000000000000000000000000000000
χ1208-80000000−2−25−2+254ζ2−4ζ3−4ζ2+4ζ3−4ζ+4ζ44ζ−4ζ42+252−25000000-4400000000000000000000000000000000000001+5−1−51−5−1+5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000000000000000000000000000000000000000000000000000
χ1218-80000000−2−25−2+25−4ζ2+4ζ34ζ2−4ζ34ζ−4ζ4−4ζ+4ζ42+252−250000004-40000000000000000000000000000000000000−1−51+5−1+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000000000000000000000000000000000000000000000000000
χ1228-80000000−2−25−2+25−4ζ2+4ζ34ζ2−4ζ34ζ−4ζ4−4ζ+4ζ42+252−25000000-4400000000000000000000000000000000000001+5−1−51−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).