Finite Group Databasebeta

← Group #12965985

Character table — Group #12965985

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size112222222222222224444444444444444444444444488888888888888888888888888888888888888810101010101010101616161616161616161616162020202020202020202020204040404040404040
order1222244445510102020202022222244444444101010101010202020202020244888810101010101010101010101020202020202020202020202020202020202020202222444410102020404040404040404022222222444444448888
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
χ311111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-111-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-1-1-111-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ911111111111111111-1-111-1-1-1-111-1-111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ1011111111111111111-1-111-1-1-1-111-1-111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111
χ1111111111111111111-1-111-1-1-1-111-1-1-1-111111111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111
χ1211111111111111111-1-111-1-1-1-111-1-1-1-111111111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-11111-1-1
χ1311111111111111111-1-1-1-111-1-1-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1411111111111111111-1-1-1-111-1-1-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1
χ1511111111111111111-1-1-1-111-1-1-1-111-1-111111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ1611111111111111111-1-1-1-111-1-1-1-111-1-111111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1711-1-11-1-1111111-1-1-1-1111-11-1-1-11-11-111-1-1-1-111-1-11111-11-11-11-1111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-11-11-11-11-11-11-11-11-1
χ1811-1-11-1-1111111-1-1-1-1111-11-1-1-11-11-111-1-1-1-111-1-11111-11-11-11-1111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-11-11-11-11-11-11-11-11
χ1911-1-11-1-1111111-1-1-1-1111-11-1-1-11-11-1-1-1-1-1-1-111-1-111111-11-11-11111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-11111-1-11-11-11-11-1-11-11-11-11
χ2011-1-11-1-1111111-1-1-1-1111-11-1-1-11-11-1-1-1-1-1-1-111-1-111111-11-11-11111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-111-11-11-11-111-11-11-11-1
χ2111-1-11-1-1111111-1-1-1-111-11-11-1-1-11-1111-1-1-1-111-1-11111-11-1-11-111111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-11-11-11-111-11-1-11-11
χ2211-1-11-1-1111111-1-1-1-111-11-11-1-1-11-1111-1-1-1-111-1-11111-11-1-11-111111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1-11-111-11-1
χ2311-1-11-1-1111111-1-1-1-111-11-11-1-1-11-11-1-1-1-1-1-111-1-111111-111-11-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-111-1-1-11-11-11-11-11-111-11-1
χ2411-1-11-1-1111111-1-1-1-111-11-11-1-1-11-11-1-1-1-1-1-111-1-111111-111-11-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1111-11-11-11-11-11-1-11-11
χ2511-1-11-1-1111111-1-1-1-1-1-11-1-11111-1-1111-1-1-1-111-1-111111-1-11-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1111-1-111-1-11-111-11-1-11
χ2611-1-11-1-1111111-1-1-1-1-1-11-1-11111-1-1111-1-1-1-111-1-111111-1-11-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-111-1-111-11-1-11-111-1
χ2711-1-11-1-1111111-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-111-1-11111-111-111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1111-1-111-1-111-1-11-111-1
χ2811-1-11-1-1111111-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-111-1-11111-111-111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-1-111-1-111-1-111-11-1-11
χ2911-1-11-1-1111111-1-1-1-1-1-1-111-111-111-111-1-1-1-111-1-111111-1-1-111-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1-111-1-111-1
χ3011-1-11-1-1111111-1-1-1-1-1-1-111-111-111-111-1-1-1-111-1-111111-1-1-111-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11-1-111-1-111-1-111-1-11
χ3111-1-11-1-1111111-1-1-1-1-1-1-111-111-111-1-1-1-1-1-1-111-1-11111-1111-1-11-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111-111-1-111-11-1-111-1-11
χ3211-1-11-1-1111111-1-1-1-1-1-1-111-111-111-1-1-1-1-1-1-111-1-11111-1111-1-11-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-11-1-111-1-11-111-1-111-1
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+52−1−52−1−52222222222222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2−1+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+52−1−52−1+52−1−521−521−521+521+521−521−521+521+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+52−1−52−1−5222-2-2-2-222-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2-2−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+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+52−1−52−1−5222-2-2-2-222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-22222−1+52−1+52−1−52−1−521−521+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+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+52−1−52−1−52-2-222-2-2-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+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+52−1−52−1−52000000001−521+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+52−1−52−1−52-2-222-2-2-2-222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2221−521−521+521+52−1+52−1−52−1+52−1−521−521+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+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+52−1−52−1−52-2-2-2-222-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2221−521−521+521+521−521+521−521+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+52−1+52−1−52−1+52−1−5200000000000000000000
χ40222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-222-2-21−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+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+52222222222222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2−1−52−1−52−1+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+52−1−52−1+521+521+521−521−521+521+521−521−52000000001+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+5222-2-2-2-222-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5222-2-2-2-222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-22222−1−52−1−52−1+52−1+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+521−521−52000000001+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+52-2-222-2-2-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+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+52000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
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χ10744-44-4-444-4−1−5−1+5−1−5−1+51+51+51−51−50000440000-4-4001+5−1−51−5−1+51+51−5−1−5−1+5−1−51+5−1+51−5000000000000000−1−5−1+5−1−5−1+5000000001+51−51+51−5000000000000000000000000000000000000000000000000
χ10844-44-4-444-4−1−5−1+5−1−5−1+51+51+51−51−50000-4-4000044001+5−1−51−5−1+51+51−5−1−5−1+5−1−51+5−1+51−50000000000000001+51−51+51−500000000−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000
χ10944-4-4444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−54-40000-440000001−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+50000000−1+51−5−1−51+5000000001−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000
χ11044-4-4444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4400004-40000001−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+500000001−5−1+51+5−1−500000000−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000
χ11144-4-4444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+54-40000-440000001+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−50000000−1−51+5−1+51−5000000001+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000
χ11244-4-4444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4400004-40000001+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−500000001+5−1−51−5−1+500000000−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000
χ1138-8000000088-8-800000000000000004i−4i00000000000000000000000000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000000
χ1148-8000000088-8-80000000000000000−4i4i0000000000000000000000000000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000
χ1158-80000000−2+25−2−252−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ70000000000004i−4i0000000000000000000000000000000000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000000000000000000
χ1168-80000000−2+25−2−252−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ7000000000000−4i4i00000000000000000000000000000000000000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000000000000000000000
χ1178-80000000−2+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ70000000000004i−4i0000000000000000000000000000000000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000000000000000000000
χ1188-80000000−2+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7000000000000−4i4i00000000000000000000000000000000000000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000000000000000000
χ1198-80000000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ190000000000004i−4i0000000000000000000000000000000000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ1208-80000000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19000000000000−4i4i00000000000000000000000000000000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ1218-80000000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ190000000000004i−4i0000000000000000000000000000000000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ1228-80000000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19000000000000−4i4i00000000000000000000000000000000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000

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