Finite Group Databasebeta

← Group #12975608

Character table — Group #12975608

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1122222222222222244444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888882020202020202020404040404040404040404040
order1222244445510102020202022224444448888888810101010101020202020202020202020202020204040404040404040404040404040404048888101010101010101020202020202020202020202040404040404040404040404040404040404040404040404022224444222222448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111-1-1-11-111-1-1
χ41111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1111-11-1-111
χ51111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-111-1-1-1-1-111
χ61111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111111-1-1
χ71111111111111111111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-11-11-1-1-1-1
χ81111111111111111111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11111
χ911111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1111-1-111
χ1011111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-111-1-1
χ1111111111111111111-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-1-1-1
χ1211111111111111111-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111111
χ1311111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ1411111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1111-1111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-111111-1-1-11-1-1-111
χ1711-1-11-1-111111111111-11-11-11-11111-1-111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-111-11-1-11-11-1
χ1811-1-11-1-111111111111-11-11-11-11111-1-111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-1-11-111-11-11
χ1911-1-11-1-111111111111-11-11-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-111-1-111-11-11-1-111-1-11
χ2011-1-11-1-111111111111-11-11-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-111-1-11-11-111-1-111-1
χ2111-1-11-1-111111111111-1-111-1-1111-1-111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-111-1-11-1-111-111-1
χ2211-1-11-1-111111111111-1-111-1-1111-1-111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-111-111-1-11-1-11
χ2311-1-11-1-111111111111-1-111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-11-11-11-1-1-1111-1-11-11
χ2411-1-11-1-111111111111-1-111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-11-11-1111-1-1-111-11-1
χ2511-1-11-1-11111111111-111-1-111-111-1-111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-11-111-111-1-1-111-1
χ2611-1-11-1-11111111111-111-1-111-111-1-111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-11-1-11-1-1111-1-11
χ2711-1-11-1-11111111111-111-1-111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-1111-1-1-11-11-11
χ2811-1-11-1-11111111111-111-1-111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11-111-1-1-1111-11-11-1
χ2911-1-11-1-11111111111-11-11-11-111111-1-111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-11-11-1-11-1-11-1111-11-1
χ3011-1-11-1-11111111111-11-11-11-111111-1-111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-11-111-111-11-1-1-11-11
χ3111-1-11-1-11111111111-11-11-11-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-11-1-1-111-1-111-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-11-11-11-111-11-1-11
χ3211-1-11-1-11111111111-11-11-11-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-11-1-1-111-1-111-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-111-11-11-11-1-11-111-1
χ33222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222222222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ34222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-2-2−1+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+52−1−521−521−521+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+52−1−52−1−5200000000000000000000
χ35222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-222-2-222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52222-2-2−1+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+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+5200000000000000000000
χ36222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-22222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+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+52−1−52−1−52−1−52−1−52-2-2-222−1+52−1−52−1+52−1−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ37222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-22222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-2-2221−521+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+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+5200000000000000000000
χ38222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-22222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+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+52−1−52−1−52−1−52−1−52-222-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+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+521−521−521+521+5200000000000000000000
χ39222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-22222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-21−521+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+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ40222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-222221−521+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ41222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222222222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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
χ42222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-2-2−1−52−1+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+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+5200000000000000000000
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χ1318-8000000088-8-80000000000004-40000000000000000004-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1338-80000000−2+25−2−252−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ7000000004-4000000000000000000−2ζ6−2ζ11−2ζ14+2ζ192ζ6+2ζ11+2ζ14−2ζ19−2ζ6+2ζ11−2ζ14−2ζ192ζ6−2ζ11+2ζ14+2ζ19−2ζ2+2ζ3−2ζ7−2ζ182ζ2−2ζ3+2ζ7+2ζ18−2ζ2−2ζ3+2ζ7−2ζ182ζ2+2ζ3−2ζ7+2ζ18000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-80000000−2+25−2−252−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ700000000-440000000000000000002ζ6+2ζ11+2ζ14−2ζ19−2ζ6−2ζ11−2ζ14+2ζ192ζ6−2ζ11+2ζ14+2ζ19−2ζ6+2ζ11−2ζ14−2ζ192ζ2−2ζ3+2ζ7+2ζ18−2ζ2+2ζ3−2ζ7−2ζ182ζ2+2ζ3−2ζ7+2ζ18−2ζ2−2ζ3+2ζ7−2ζ18000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1378-80000000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19000000004-4000000000000000000−2ζ2+2ζ3−2ζ7−2ζ182ζ2−2ζ3+2ζ7+2ζ18−2ζ2−2ζ3+2ζ7−2ζ182ζ2+2ζ3−2ζ7+2ζ18−2ζ6+2ζ11−2ζ14−2ζ192ζ6−2ζ11+2ζ14+2ζ19−2ζ6−2ζ11−2ζ14+2ζ192ζ6+2ζ11+2ζ14−2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-80000000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ1900000000-440000000000000000002ζ2−2ζ3+2ζ7+2ζ18−2ζ2+2ζ3−2ζ7−2ζ182ζ2+2ζ3−2ζ7+2ζ18−2ζ2−2ζ3+2ζ7−2ζ182ζ6−2ζ11+2ζ14+2ζ19−2ζ6+2ζ11−2ζ14−2ζ192ζ6+2ζ11+2ζ14−2ζ19−2ζ6−2ζ11−2ζ14+2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-80000000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19000000004-4000000000000000000−2ζ2−2ζ3+2ζ7−2ζ182ζ2+2ζ3−2ζ7+2ζ18−2ζ2+2ζ3−2ζ7−2ζ182ζ2−2ζ3+2ζ7+2ζ18−2ζ6−2ζ11−2ζ14+2ζ192ζ6+2ζ11+2ζ14−2ζ19−2ζ6+2ζ11−2ζ14−2ζ192ζ6−2ζ11+2ζ14+2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-80000000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ1900000000-440000000000000000002ζ2+2ζ3−2ζ7+2ζ18−2ζ2−2ζ3+2ζ7−2ζ182ζ2−2ζ3+2ζ7+2ζ18−2ζ2+2ζ3−2ζ7−2ζ182ζ6+2ζ11+2ζ14−2ζ19−2ζ6−2ζ11−2ζ14+2ζ192ζ6−2ζ11+2ζ14+2ζ19−2ζ6+2ζ11−2ζ14−2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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