Finite Group Databasebeta

← Group #13087033

Character table — Group #13087033

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size111122222222222222222210101010222244444444444444444420202020222244444444444444444420202020222244444444444444444420202020222244444444444444444420202020999918181818181818181818181818181818181890909090
order12222255101010101010101010101010101044443666661515303030303030303030303030303012121212366666151530303030303030303030303030301212121236666615153030303030303030303030303030121212123666661515303030303030303030303030303012121212222222101010101010101010101010101010104444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1
χ31111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ41111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ511-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i
χ611-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii
χ711-1-1-111111-1-1-1-1-1-1-1-11111i−i−ii11-1-1-111111-1-1-1-1-1-1-1-11111i−i−ii11-1-1-111111-1-1-1-1-1-1-1-11111i−i−ii11-1-1-111111-1-1-1-1-1-1-1-11111i−i−ii11-1-1-111111-1-1-1-1-1-1-1-11111i−i−ii11-1-1-111111-1-1-1-1-1-1-1-11111i−i−ii
χ811-1-1-111111-1-1-1-1-1-1-1-11111−iii−i11-1-1-111111-1-1-1-1-1-1-1-11111−iii−i11-1-1-111111-1-1-1-1-1-1-1-11111−iii−i11-1-1-111111-1-1-1-1-1-1-1-11111−iii−i11-1-1-111111-1-1-1-1-1-1-1-11111−iii−i11-1-1-111111-1-1-1-1-1-1-1-11111−iii−i
χ9222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ10222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+52−1−52−1+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
χ112222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000
χ122222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000
χ1322-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000
χ1422-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000
χ1522-2-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000
χ1622-2-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000
χ172-22-20022-2-22-22-20000000000002-22-20022-2-22-22-20000000000002-22-20022-2-22-22-20000000000002-22-20022-2-22-22-20000000000002-22-20022-2-22-22-20000000000002-22-20022-2-22-22-2000000000000
χ182-22-200−1+52−1−521−521+52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800002-22-200−1+52−1−521−521+52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800002-22-200−1+52−1−521−521+52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800002-22-200−1+52−1−521−521+52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800002-22-200−1+52−1−521−521+52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800002-22-200−1+52−1−521−521+52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000
χ192-22-200−1+52−1−521−521+52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800002-22-200−1+52−1−521−521+52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800002-22-200−1+52−1−521−521+52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800002-22-200−1+52−1−521−521+52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800002-22-200−1+52−1−521−521+52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800002-22-200−1+52−1−521−521+52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000
χ202-22-200−1−52−1+521+521−52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400002-22-200−1−52−1+521+521−52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400002-22-200−1−52−1+521+521−52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400002-22-200−1−52−1+521+521−52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400002-22-200−1−52−1+521+521−52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400002-22-200−1−52−1+521+521−52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000
χ212-22-200−1−52−1+521+521−52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400002-22-200−1−52−1+521+521−52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400002-22-200−1−52−1+521+521−52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400002-22-200−1−52−1+521+521−52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400002-22-200−1−52−1+521+521−52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400002-22-200−1−52−1+521+521−52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000
χ222-2-220022-2-2-22-220000000000002-2-220022-2-2-22-220000000000002-2-220022-2-2-22-220000000000002-2-220022-2-2-22-220000000000002-2-220022-2-2-22-220000000000002-2-220022-2-2-22-22000000000000
χ232-2-2200−1+52−1−521−521+521−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800002-2-2200−1+52−1−521−521+521−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800002-2-2200−1+52−1−521−521+521−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800002-2-2200−1+52−1−521−521+521−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800002-2-2200−1+52−1−521−521+521−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800002-2-2200−1+52−1−521−521+521−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000
χ242-2-2200−1+52−1−521−521+521−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800002-2-2200−1+52−1−521−521+521−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800002-2-2200−1+52−1−521−521+521−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800002-2-2200−1+52−1−521−521+521−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800002-2-2200−1+52−1−521−521+521−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800002-2-2200−1+52−1−521−521+521−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000
χ252-2-2200−1−52−1+521+521−521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400002-2-2200−1−52−1+521+521−521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400002-2-2200−1−52−1+521+521−521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400002-2-2200−1−52−1+521+521−521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400002-2-2200−1−52−1+521+521−521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400002-2-2200−1−52−1+521+521−521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000
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χ281111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ291111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
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χ3111-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i-1-111-11-1-1-1-11111-1-1-1-11111−ii−ii
χ3211-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii-1-111-11-1-1-1-11111-1-1-1-11111i−ii−i
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χ36222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−520000
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χ1294-4-4400−1−5−1+51+51−51+5−1−51−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400004-4-4400−1−5−1+51+51−51+5−1−51−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000000000000000000000000000
χ1304-4-4400−1−5−1+51+51−51+5−1−51−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400004-4-4400−1−5−1+51+51−51+5−1−51−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000000000000000000000000000
χ13122222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222222222200000000000000000000000000
χ1322222222222222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111112222222222222222222222-2-2-2-200000000000000000000000000
χ1332222-2-222222222-2-2-2-2-2-2-2-222-2-2-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1112222-2-222222222-2-2-2-2-2-2-2-222-2-200000000000000000000000000
χ1342222-2-222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-12222-2-222222222-2-2-2-2-2-2-2-2-2-22200000000000000000000000000
χ13522-2-22-22222-2-2-2-22222-2-2-2-22i−2i2i−2i-1-111-11-1-1-1-11111-1-1-1-11111−ii−ii-1-111-11-1-1-1-11111-1-1-1-11111−ii−ii-1-111-11-1-1-1-11111-1-1-1-11111−ii−ii22-2-22-22222-2-2-2-22222-2-2-2-22i−2i2i−2i00000000000000000000000000
χ13622-2-22-22222-2-2-2-22222-2-2-2-2−2i2i−2i2i-1-111-11-1-1-1-11111-1-1-1-11111i−ii−i-1-111-11-1-1-1-11111-1-1-1-11111i−ii−i-1-111-11-1-1-1-11111-1-1-1-11111i−ii−i22-2-22-22222-2-2-2-22222-2-2-2-2−2i2i−2i2i00000000000000000000000000
χ13722-2-2-222222-2-2-2-2-2-2-2-222222i−2i−2i2i-1-1111-1-1-1-1-111111111-1-1-1-1−iii−i-1-1111-1-1-1-1-111111111-1-1-1-1−iii−i-1-1111-1-1-1-1-111111111-1-1-1-1−iii−i22-2-2-222222-2-2-2-2-2-2-2-222222i−2i−2i2i00000000000000000000000000
χ13822-2-2-222222-2-2-2-2-2-2-2-22222−2i2i2i−2i-1-1111-1-1-1-1-111111111-1-1-1-1i−i−ii-1-1111-1-1-1-1-111111111-1-1-1-1i−i−ii-1-1111-1-1-1-1-111111111-1-1-1-1i−i−ii22-2-2-222222-2-2-2-2-2-2-2-22222−2i2i2i−2i00000000000000000000000000
χ139444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−50000-2-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+520000-2-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+520000-2-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+520000444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5000000000000000000000000000000
χ140444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+50000-2-2-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−520000-2-2-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−520000-2-2-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−520000444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5000000000000000000000000000000
χ1414444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+50000-2-2-2-2221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200004444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5000000000000000000000000000000
χ1424444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−50000-2-2-2-2221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200004444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5000000000000000000000000000000
χ14344-4-44-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000-2-222-221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-2-222-221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-2-222-221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000044-4-44-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000
χ14444-4-44-4−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000-2-222-221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000-2-222-221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000-2-222-221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000044-4-44-4−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000
χ14544-4-4-44−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−50000-2-2222-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000-2-2222-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000-2-2222-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000044-4-4-44−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5000000000000000000000000000000
χ14644-4-4-44−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+50000-2-2222-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000-2-2222-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000-2-2222-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000044-4-4-44−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5000000000000000000000000000000
χ1474-44-40044-4-44-44-4000000000000-22-2200-2-222-22-22000000000000-22-2200-2-222-22-22000000000000-22-2200-2-222-22-220000000000004-44-40044-4-44-44-400000000000000000000000000000000000000
χ1484-44-400−1+5−1−51−51+5−1+51−5−1−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000-22-22001−521+52−1+52−1−521−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000-22-22001−521+52−1+52−1−521−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000-22-22001−521+52−1+52−1−521−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800004-44-400−1+5−1−51−51+5−1+51−5−1−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000000000000
χ1494-44-400−1+5−1−51−51+5−1+51−5−1−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000-22-22001−521+52−1+52−1−521−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000-22-22001−521+52−1+52−1−521−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000-22-22001−521+52−1+52−1−521−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800004-44-400−1+5−1−51−51+5−1+51−5−1−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000000000000
χ1504-44-400−1−5−1+51+51−5−1−51+5−1+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000-22-22001+521−52−1−52−1+521+52−1−521−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000-22-22001+521−52−1−52−1+521+52−1−521−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000-22-22001+521−52−1−52−1+521+52−1−521−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400004-44-400−1−5−1+51+51−5−1−51+5−1+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000
χ1514-44-400−1−5−1+51+51−5−1−51+5−1+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000-22-22001+521−52−1−52−1+521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000-22-22001+521−52−1−52−1+521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000-22-22001+521−52−1−52−1+521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400004-44-400−1−5−1+51+51−5−1−51+5−1+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000
χ1524-4-440044-4-4-44-44000000000000-222-200-2-2222-22-2000000000000-222-200-2-2222-22-2000000000000-222-200-2-2222-22-20000000000004-4-440044-4-4-44-4400000000000000000000000000000000000000
χ1534-4-4400−1+5−1−51−51+51−5−1+51+5−1−52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000-222-2001−521+52−1+52−1−52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000-222-2001−521+52−1+52−1−52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000-222-2001−521+52−1+52−1−52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800004-4-4400−1+5−1−51−51+51−5−1+51+5−1−52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000000000000
χ1544-4-4400−1+5−1−51−51+51−5−1+51+5−1−5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000-222-2001−521+52−1+52−1−52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000-222-2001−521+52−1+52−1−52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000-222-2001−521+52−1+52−1−52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800004-4-4400−1+5−1−51−51+51−5−1+51+5−1−5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000000000000
χ1554-4-4400−1−5−1+51+51−51+5−1−51−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400004-4-4400−1−5−1+51+51−51+5−1−51−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000
χ1564-4-4400−1−5−1+51+51−51+5−1−51−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000-222-2001+521−52−1−52−1+52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400004-4-4400−1−5−1+51+51−51+5−1−51−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000

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