Finite Group Databasebeta

← Group #12963336

Character table — Group #12963336

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size111122222222224444444444444444448888888810101010202020202020111122222222224444444444444444448888888810101010202020202020111122222222224444444444444444448888888810101010202020202020111122222222224444444444444444448888888810101010202020202020
order1222445510101010101044448820202020404040404040404020202020202020204444444488222244101010101010101044448820202020404040404040404020202020202020204444444488222244101010101010101044448820202020404040404040404020202020202020204444444488222244101010101010101044448820202020404040404040404020202020202020204444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ611111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ711111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ91-11-1-1111-1-1-1-111i−i1-1i−i11-1-1iiii−i−i−i−iii−i−i11-1-1i−ii−i1-1i−i1-11-11-1-1111-1-1-1-111i−i1-1i−i11-1-1iiii−i−i−i−iii−i−i11-1-1i−ii−i1-1i−i1-11-11-1-1111-1-1-1-111i−i1-1i−i11-1-1iiii−i−i−i−iii−i−i11-1-1i−ii−i1-1i−i1-11-11-1-1111-1-1-1-111i−i1-1i−i11-1-1iiii−i−i−i−iii−i−i11-1-1i−ii−i1-1i−i1-1
χ101-11-1-1111-1-1-1-111i−i1-1i−i11-1-1iiii−i−i−i−iii−i−i11-1-1−ii−ii-11−ii-111-11-1-1111-1-1-1-111i−i1-1i−i11-1-1iiii−i−i−i−iii−i−i11-1-1−ii−ii-11−ii-111-11-1-1111-1-1-1-111i−i1-1i−i11-1-1iiii−i−i−i−iii−i−i11-1-1−ii−ii-11−ii-111-11-1-1111-1-1-1-111i−i1-1i−i11-1-1iiii−i−i−i−iii−i−i11-1-1−ii−ii-11−ii-11
χ111-11-1-1111-1-1-1-111i−i-11−ii11-1-1−i−i−i−iiiiiii−i−i-1-111i−ii−i1-1−ii-111-11-1-1111-1-1-1-111i−i-11−ii11-1-1−i−i−i−iiiiiii−i−i-1-111i−ii−i1-1−ii-111-11-1-1111-1-1-1-111i−i-11−ii11-1-1−i−i−i−iiiiiii−i−i-1-111i−ii−i1-1−ii-111-11-1-1111-1-1-1-111i−i-11−ii11-1-1−i−i−i−iiiiiii−i−i-1-111i−ii−i1-1−ii-11
χ121-11-1-1111-1-1-1-111i−i-11−ii11-1-1−i−i−i−iiiiiii−i−i-1-111−ii−ii-11i−i1-11-11-1-1111-1-1-1-111i−i-11−ii11-1-1−i−i−i−iiiiiii−i−i-1-111−ii−ii-11i−i1-11-11-1-1111-1-1-1-111i−i-11−ii11-1-1−i−i−i−iiiiiii−i−i-1-111−ii−ii-11i−i1-11-11-1-1111-1-1-1-111i−i-11−ii11-1-1−i−i−i−iiiiiii−i−i-1-111−ii−ii-11i−i1-1
χ131-11-1-1111-1-1-1-111−ii1-1−ii11-1-1−i−i−i−iiiii−i−iii11-1-1i−ii−i-11i−i-111-11-1-1111-1-1-1-111−ii1-1−ii11-1-1−i−i−i−iiiii−i−iii11-1-1i−ii−i-11i−i-111-11-1-1111-1-1-1-111−ii1-1−ii11-1-1−i−i−i−iiiii−i−iii11-1-1i−ii−i-11i−i-111-11-1-1111-1-1-1-111−ii1-1−ii11-1-1−i−i−i−iiiii−i−iii11-1-1i−ii−i-11i−i-11
χ141-11-1-1111-1-1-1-111−ii1-1−ii11-1-1−i−i−i−iiiii−i−iii11-1-1−ii−ii1-1−ii1-11-11-1-1111-1-1-1-111−ii1-1−ii11-1-1−i−i−i−iiiii−i−iii11-1-1−ii−ii1-1−ii1-11-11-1-1111-1-1-1-111−ii1-1−ii11-1-1−i−i−i−iiiii−i−iii11-1-1−ii−ii1-1−ii1-11-11-1-1111-1-1-1-111−ii1-1−ii11-1-1−i−i−i−iiiii−i−iii11-1-1−ii−ii1-1−ii1-1
χ151-11-1-1111-1-1-1-111−ii-11i−i11-1-1iiii−i−i−i−i−i−iii-1-111i−ii−i-11−ii1-11-11-1-1111-1-1-1-111−ii-11i−i11-1-1iiii−i−i−i−i−i−iii-1-111i−ii−i-11−ii1-11-11-1-1111-1-1-1-111−ii-11i−i11-1-1iiii−i−i−i−i−i−iii-1-111i−ii−i-11−ii1-11-11-1-1111-1-1-1-111−ii-11i−i11-1-1iiii−i−i−i−i−i−iii-1-111i−ii−i-11−ii1-1
χ161-11-1-1111-1-1-1-111−ii-11i−i11-1-1iiii−i−i−i−i−i−iii-1-111−ii−ii1-1i−i-111-11-1-1111-1-1-1-111−ii-11i−i11-1-1iiii−i−i−i−i−i−iii-1-111−ii−ii1-1i−i-111-11-1-1111-1-1-1-111−ii-11i−i11-1-1iiii−i−i−i−i−i−iii-1-111−ii−ii1-1i−i-111-11-1-1111-1-1-1-111−ii-11i−i11-1-1iiii−i−i−i−i−i−iii-1-111−ii−ii1-1i−i-11
χ17222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+520000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000
χ21222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ22222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000
χ23222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ24222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000
χ252222-2-222222222000000-2-2-2-2000000000000000022-2-20000002222-2-222222222000000-2-2-2-2000000000000000022-2-20000002222-2-222222222000000-2-2-2-2000000000000000022-2-20000002222-2-222222222000000-2-2-2-2000000000000000022-2-2000000
χ262222-2-222222222000000-2-2-2-20000000000000000-2-2220000002222-2-222222222000000-2-2-2-20000000000000000-2-2220000002222-2-222222222000000-2-2-2-20000000000000000-2-2220000002222-2-222222222000000-2-2-2-20000000000000000-2-222000000
χ272-22-22-222-2-2-2-222000000-2-22200000000000000002i−2i−2i2i0000002-22-22-222-2-2-2-222000000-2-22200000000000000002i−2i−2i2i0000002-22-22-222-2-2-2-222000000-2-22200000000000000002i−2i−2i2i0000002-22-22-222-2-2-2-222000000-2-22200000000000000002i−2i−2i2i000000
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χ68222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+52-2-222221−521+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+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+52-2-222221−521+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+52−1−520000000000
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χ70222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+522222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+522222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
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χ72222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000-2-2-2-2-2-21+521−521+521−521+521−521+521−52-2-222221+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+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000-2-2-2-2-2-21+521−521+521−521+521−521+521−52-2-222221+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+520000000000
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χ117222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+52-2-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+52-2-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+520000000000
χ118222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+52-2-222221−521+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+52−1−520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+52-2-222221−521+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+52−1−520000000000
χ119222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+5222-2-2221−521+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+520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+5222-2-2221−521+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+520000000000
χ120222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+522222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000-2-2-2-2-2-21−521+521−521+521−521+521−521+522222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ121222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000-2-2-2-2-2-21+521−521+521−521+521−521+521−52-2-2-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−520000000000-2-2-2-2-2-21+521−521+521−521+521−521+521−52-2-2-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−520000000000
χ122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000-2-2-2-2-2-21+521−521+521−521+521−521+521−52-2-222221+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+520000000000-2-2-2-2-2-21+521−521+521−521+521−521+521−52-2-222221+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+520000000000
χ123222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000-2-2-2-2-2-21+521−521+521−521+521−521+521−5222-2-2221+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+521−520000000000-2-2-2-2-2-21+521−521+521−521+521−521+521−5222-2-2221+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+521−520000000000
χ124222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000-2-2-2-2-2-21+521−521+521−521+521−521+521−522222-2-21+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+520000000000-2-2-2-2-2-21+521−521+521−521+521−521+521−522222-2-21+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+520000000000
χ1252222-2-222222222000000-2-2-2-2000000000000000022-2-20000002222-2-222222222000000-2-2-2-2000000000000000022-2-2000000-2-2-2-222-2-2-2-2-2-2-2-200000022220000000000000000-2-222000000-2-2-2-222-2-2-2-2-2-2-2-200000022220000000000000000-2-222000000
χ1262222-2-222222222000000-2-2-2-20000000000000000-2-2220000002222-2-222222222000000-2-2-2-20000000000000000-2-222000000-2-2-2-222-2-2-2-2-2-2-2-20000002222000000000000000022-2-2000000-2-2-2-222-2-2-2-2-2-2-2-20000002222000000000000000022-2-2000000
χ1272-22-22-222-2-2-2-222000000-2-22200000000000000002i−2i−2i2i0000002-22-22-222-2-2-2-222000000-2-22200000000000000002i−2i−2i2i000000-22-22-22-2-22222-2-200000022-2-20000000000000000−2i2i2i−2i000000-22-22-22-2-22222-2-200000022-2-20000000000000000−2i2i2i−2i000000
χ1282-22-22-222-2-2-2-222000000-2-2220000000000000000−2i2i2i−2i0000002-22-22-222-2-2-2-222000000-2-2220000000000000000−2i2i2i−2i000000-22-22-22-2-22222-2-200000022-2-200000000000000002i−2i−2i2i000000-22-22-22-2-22222-2-200000022-2-200000000000000002i−2i−2i2i000000
χ1292-22-2-22−1+52−1−521−521+521−521+52−1+52−1−522i−2i2-22i−2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−1+52−1−521−521+5200000000002-22-2-22−1+52−1−521−521+521−521+52−1+52−1−522i−2i2-22i−2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−1+52−1−521−521+520000000000-22-222-21−521+52−1+52−1−52−1+52−1−521−521+52−2i2i-22−2i2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ141−521+52−1+52−1−520000000000-22-222-21−521+52−1+52−1−52−1+52−1−521−521+52−2i2i-22−2i2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ141−521+52−1+52−1−520000000000
χ1302-22-2-22−1+52−1−521−521+521−521+52−1+52−1−522i−2i-22−2i2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ141−521+52−1+52−1−5200000000002-22-2-22−1+52−1−521−521+521−521+52−1+52−1−522i−2i-22−2i2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ141−521+52−1+52−1−520000000000-22-222-21−521+52−1+52−1−52−1+52−1−521−521+52−2i2i2-22i−2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−1+52−1−521−521+520000000000-22-222-21−521+52−1+52−1−52−1+52−1−521−521+52−2i2i2-22i−2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−1+52−1−521−521+520000000000
χ1312-22-2-22−1+52−1−521−521+521−521+52−1+52−1−52−2i2i2-2−2i2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−1+52−1−521−521+5200000000002-22-2-22−1+52−1−521−521+521−521+52−1+52−1−52−2i2i2-2−2i2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−1+52−1−521−521+520000000000-22-222-21−521+52−1+52−1−52−1+52−1−521−521+522i−2i-222i−2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ141−521+52−1+52−1−520000000000-22-222-21−521+52−1+52−1−52−1+52−1−521−521+522i−2i-222i−2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ141−521+52−1+52−1−520000000000
χ1322-22-2-22−1+52−1−521−521+521−521+52−1+52−1−52−2i2i-222i−2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ141−521+52−1+52−1−5200000000002-22-2-22−1+52−1−521−521+521−521+52−1+52−1−52−2i2i-222i−2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ141−521+52−1+52−1−520000000000-22-222-21−521+52−1+52−1−52−1+52−1−521−521+522i−2i2-2−2i2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−1+52−1−521−521+520000000000-22-222-21−521+52−1+52−1−52−1+52−1−521−521+522i−2i2-2−2i2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−1+52−1−521−521+520000000000
χ1332-22-2-22−1−52−1+521+521−521+521−52−1−52−1+522i−2i2-22i−2i−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−1−52−1+521+521−5200000000002-22-2-22−1−52−1+521+521−521+521−52−1−52−1+522i−2i2-22i−2i−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−1−52−1+521+521−520000000000-22-222-21+521−52−1−52−1+52−1−52−1+521+521−52−2i2i-22−2i2i1+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ381+521−52−1−52−1+520000000000-22-222-21+521−52−1−52−1+52−1−52−1+521+521−52−2i2i-22−2i2i1+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ381+521−52−1−52−1+520000000000
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χ1994-4-4400−1−5−1+5−1−5−1+51+51−51+51−50000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000-444-4001+51−51+51−5−1−5−1+5−1−5−1+50000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000-444-4001+51−51+51−5−1−5−1+5−1−5−1+50000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000000000000004-4-4400−1−5−1+5−1−5−1+51+51−51+51−50000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000
χ2004-4-4400−1−5−1+5−1−5−1+51+51−51+51−50000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000-444-4001+51−51+51−5−1−5−1+5−1−5−1+50000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000-444-4001+51−51+51−5−1−5−1+5−1−5−1+50000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000000000000004-4-4400−1−5−1+5−1−5−1+51+51−51+51−50000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000

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