Finite Group Databasebeta

← Group #12121360

Character table — Group #12121360

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size1111111122222222222222222222444444444444444488888888888888888888888888888888881010101016161616161616161616161616161616202020202020202020202020202020202020404040404040
order1222222244445510101010101010101010101010104444888820202020202020204444444488202020202020202040404040404040404040404040404040444420202020202020202020202020202020444444444444448888444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111
χ711111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ91111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ101111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111
χ111111111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1
χ121111111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111
χ131111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ141111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ161111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-111-1-1
χ171-11-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1ii−i−i1111-1-1-1-11-11-1i−ii−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−i11-1-1i−ii−ii−i11-1-11-1i−i1-1
χ181-11-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1ii−i−i1111-1-1-1-11-11-1i−ii−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii-1-111−ii−ii−ii-1-111-11−ii-11
χ191-11-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1ii−i−i1111-1-1-1-1-11-11−ii−iii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii-1-111i−ii−ii−i11-1-1-11−ii1-1
χ201-11-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1ii−i−i1111-1-1-1-1-11-11−ii−iii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−iii-1-111-1-111ii−i−i11-1-1−ii−ii−ii-1-1111-1i−i-11
χ211-11-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1−i−iii1111-1-1-1-11-11-1−ii−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iii−i−iii11-1-111-1-1ii−i−i-1-111i−ii−ii−i-1-111-11i−i-11
χ221-11-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1−i−iii1111-1-1-1-11-11-1−ii−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii11-1-1−ii−ii−ii11-1-11-1−ii1-1
χ231-11-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1−i−iii1111-1-1-1-1-11-11i−ii−i−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iii−i−i-1-111-1-111−i−iii11-1-1i−ii−ii−i-1-1111-1−ii-11
χ241-11-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1−i−iii1111-1-1-1-1-11-11i−ii−i−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−i-1-111−ii−ii−ii11-1-1-11i−i1-1
χ251-11-111-1-11-1-1111-1-1-1-11111-1-1-1-111-11-11ii−i−i1111-1-1-1-11-1-11i−i−ii−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−iii−i−i−i−iii11-1-1-1-111−i−iii-1-111−iii−i−ii11-1-11-1i−i-11
χ261-11-111-1-11-1-1111-1-1-1-11111-1-1-1-111-11-11ii−i−i1111-1-1-1-11-1-11i−i−ii−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−i11-1-1i−i−iii−i-1-111-11−ii1-1
χ271-11-111-1-11-1-1111-1-1-1-11111-1-1-1-111-11-11ii−i−i1111-1-1-1-1-111-1−iii−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i11-1-1−iii−i−ii11-1-1-11−ii-11
χ281-11-111-1-11-1-1111-1-1-1-11111-1-1-1-111-11-11ii−i−i1111-1-1-1-1-111-1−iii−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iii−i−iiiii−i−i-1-11111-1-1−i−iii-1-111i−i−iii−i-1-1111-1i−i1-1
χ291-11-111-1-11-1-1111-1-1-1-11111-1-1-1-111-11-11−i−iii1111-1-1-1-11-1-11−iii−ii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i11-1-1-1-111−i−iii11-1-1−iii−i−ii-1-111-11i−i1-1
χ301-11-111-1-11-1-1111-1-1-1-11111-1-1-1-111-11-11−i−iii1111-1-1-1-11-1-11−iii−ii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i-1-111i−i−iii−i11-1-11-1−ii-11
χ311-11-111-1-11-1-1111-1-1-1-11111-1-1-1-111-11-11−i−iii1111-1-1-1-1-111-1i−i−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i-1-111−iii−i−ii-1-1111-1−ii1-1
χ321-11-111-1-11-1-1111-1-1-1-11111-1-1-1-111-11-11−i−iii1111-1-1-1-1-111-1i−i−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iii11-1-1i−i−iii−i11-1-1-11i−i-11
χ33222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ34222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ35222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ36222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ37222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-21−521+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+520000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ38222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-21−521+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+5200001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ39222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222221−521+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+52−1−52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ40222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2221−521+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+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ41222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ42222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ43222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ44222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ45222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-2-2-21+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+521−521−520000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ46222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-222-2-21+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+521−521−5200001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
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χ9744-4-4-444-40000444-44-4-44-44-44-44-4-400000000000000000000000000000000000000000000000000-44-440000000000000000000000000000000000000000
χ984-444-4-44-4000044-44-44-4-4-4-4-44-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000
χ994-444-4-44-4000044-44-44-4-4-4-4-44-4444000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000
χ1004-44-444-4-4-444-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−54-4-4400001−51−51+51+5−1+5−1+5−1−5−1−500000000001−51+5−1+5−1−5−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000
χ1014-44-444-4-4-444-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−5-444-400001−51−51+51+5−1+5−1+5−1−5−1−50000000000−1+5−1−51−51+51−51+5−1+5−1−5000000000000000000000000000000000000000000000000000000000000
χ1024-44-444-4-4-444-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+54-4-4400001+51+51−51−5−1−5−1−5−1+5−1+500000000001+51−5−1−5−1+5−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000
χ1034-44-444-4-4-444-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+5-444-400001+51+51−51−5−1−5−1−5−1+5−1+50000000000−1−5−1+51+51−51+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-44-44000044-44-44-44-444-44-4-4-4000000000000000000000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ1054-4-44-44-44000044-44-44-44-444-44-4-4-400000000000000000000000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ1064-4-4-44-4444-44-4−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+500004i−4i−4i4i−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000000000000000
χ1074-4-4-44-4444-44-4−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+50000−4i4i4i−4i−1+51−5−1−51+51−5−1+51+5−1−50000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000000000000000
χ1084-4-4-44-4444-44-4−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−500004i−4i−4i4i−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000000000
χ1094-4-4-44-4444-44-4−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−50000−4i4i4i−4i−1−51+5−1+51−51+5−1−51−5−1+50000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000000000
χ1104-4-4-44-444-44-4444-4-4-4-44-44-44444-4-400000000-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-4-44-444-44-44−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+5000000001−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000000
χ1124-4-4-44-444-44-44−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+5000000001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000
χ1134-4-4-44-444-44-44−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−5000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000000000
χ1144-4-4-44-444-44-44−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−5000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000000000
χ115888-8-8-8-880000−2+25−2−25−2+252−25−2−252+252−252−252+252+25−2+252−25−2−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ116888-8-8-8-880000−2−25−2+25−2−252+25−2+252−252+252+252−252−25−2−252+25−2+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-888-80000−2+25−2−25−2+252−25−2−252+252−25−2+252+25−2−252−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-888-80000−2−25−2+25−2−252+25−2+252−252+25−2−252−25−2+252+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-888-8-88-80000−2+25−2−252−25−2+252+25−2−252−252−252+252+252−25−2+252+25−2−25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-888-8-88-80000−2−25−2+252+25−2−252−25−2+252+252+252−252−252+25−2−252−25−2+25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-88-880000−2+25−2−252−25−2+252+25−2−252−25−2+252+25−2−25−2+252−25−2−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-88-880000−2−25−2+252+25−2−252−25−2+252+25−2−252−25−2+25−2−252+25−2+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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