Finite Group Databasebeta

← Group #13089272

Character table — Group #13089272

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size111122222222222222222210101010222244444444444444444420202020222244444444444444444420202020222244444444444444444420202020222244444444444444444420202020999918181818181818181818181818181818181890909090
order124424551010101010102020202020202020224436121261215153030303030306060606060606060661212361212612151530303030303060606060606060606612123612126121515303030303030606060606060606066121236121261215153030303030306060606060606060661212224424101010101010101020202020202020202244
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
χ31111-1-111-1-1-1-1111111-1-1-1-11-11-11111-1-111-1-1-1-1111111-1-1-1-11-11-11111-1-111-1-1-1-1111111-1-1-1-11-11-11111-1-111-1-1-1-1111111-1-1-1-11-11-11111-1-111-1-1-1-1111111-1-1-1-11-11-11111-1-111-1-1-1-1111111-1-1-1-11-11-1
χ41111-1-111-1-1-1-1111111-1-1-1-1-11-111111-1-111-1-1-1-1111111-1-1-1-1-11-111111-1-111-1-1-1-1111111-1-1-1-1-11-111111-1-111-1-1-1-1111111-1-1-1-1-11-111111-1-111-1-1-1-1111111-1-1-1-1-11-111111-1-111-1-1-1-1111111-1-1-1-1-11-11
χ511-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-11-111111111-1-1-1-1-1-1-1-11-1-11
χ611-1-11-111111111-1-1-1-1-1-1-1-1-111-111-1-11-111111111-1-1-1-1-1-1-1-1-111-111-1-11-111111111-1-1-1-1-1-1-1-1-111-111-1-11-111111111-1-1-1-1-1-1-1-1-111-111-1-11-111111111-1-1-1-1-1-1-1-1-111-111-1-11-111111111-1-1-1-1-1-1-1-1-111-1
χ711-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1111-1-1-1-111-1-1-1-1111111-1-1
χ811-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1111-1-1-1-111-1-1-1-11111-1-111
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+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000
χ122222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200002222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200002222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200002222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200002222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200002222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000
χ1322-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000
χ1422-2-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000022-2-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000022-2-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000022-2-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000022-2-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000022-2-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000
χ1522-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000
χ1622-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000
χ172-22i−2i00220000-2-22i−2i2i−2i000000002-22i−2i00220000-2-22i−2i2i−2i000000002-22i−2i00220000-2-22i−2i2i−2i000000002-22i−2i00220000-2-22i−2i2i−2i000000002-22i−2i00220000-2-22i−2i2i−2i000000002-22i−2i00220000-2-22i−2i2i−2i00000000
χ182-22i−2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700002-22i−2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700002-22i−2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700002-22i−2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700002-22i−2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700002-22i−2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000
χ192-22i−2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700002-22i−2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700002-22i−2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700002-22i−2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700002-22i−2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700002-22i−2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000
χ202-22i−2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900002-22i−2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900002-22i−2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900002-22i−2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900002-22i−2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900002-22i−2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000
χ212-22i−2i00−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900002-22i−2i00−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900002-22i−2i00−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900002-22i−2i00−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900002-22i−2i00−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900002-22i−2i00−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000
χ222-2−2i2i00220000-2-2−2i2i−2i2i000000002-2−2i2i00220000-2-2−2i2i−2i2i000000002-2−2i2i00220000-2-2−2i2i−2i2i000000002-2−2i2i00220000-2-2−2i2i−2i2i000000002-2−2i2i00220000-2-2−2i2i−2i2i000000002-2−2i2i00220000-2-2−2i2i−2i2i00000000
χ232-2−2i2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700002-2−2i2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700002-2−2i2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700002-2−2i2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700002-2−2i2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700002-2−2i2i00−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000
χ242-2−2i2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700002-2−2i2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700002-2−2i2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700002-2−2i2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700002-2−2i2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700002-2−2i2i00−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000
χ252-2−2i2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900002-2−2i2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900002-2−2i2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900002-2−2i2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900002-2−2i2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900002-2−2i2i00−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000
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χ271111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ291111-1-111-1-1-1-1111111-1-1-1-11-11-11111-1-111-1-1-1-1111111-1-1-1-11-11-11111-1-111-1-1-1-1111111-1-1-1-11-11-11111-1-111-1-1-1-1111111-1-1-1-11-11-11111-1-111-1-1-1-1111111-1-1-1-11-11-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-11
χ301111-1-111-1-1-1-1111111-1-1-1-1-11-111111-1-111-1-1-1-1111111-1-1-1-1-11-111111-1-111-1-1-1-1111111-1-1-1-1-11-111111-1-111-1-1-1-1111111-1-1-1-1-11-111111-1-111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-1-1-1-111111-11-1
χ3111-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-11-111111111-1-1-1-1-1-1-1-11-1-11-1-111-11-1-1-1-1-1-1-1-111111111-111-1
χ3211-1-11-111111111-1-1-1-1-1-1-1-1-111-111-1-11-111111111-1-1-1-1-1-1-1-1-111-111-1-11-111111111-1-1-1-1-1-1-1-1-111-111-1-11-111111111-1-1-1-1-1-1-1-1-111-111-1-11-111111111-1-1-1-1-1-1-1-1-111-1-1-111-11-1-1-1-1-1-1-1-1111111111-1-11
χ3311-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-1-11111-1-11111-1-1-1-1-1-111
χ3411-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1111-1-1-1-111-1-1-1-11111-1-111-1-1111-1-1-11111-1-11111-1-1-1-111-1-1
χ35222222−1+52−1−52−1+52−1+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
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
χ372222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000-2-2-2-2221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000
χ382222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200002222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200002222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200002222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200002222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000-2-2-2-2221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000
χ3922-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000-2-222-221−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
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χ4122-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-2-2222-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000
χ4222-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000-2-2222-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000
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χ1474-44i−4i00440000-4-44i−4i4i−4i00000000-22−2i2i00-2-2000022−2i2i−2i2i00000000-22−2i2i00-2-2000022−2i2i−2i2i00000000-22−2i2i00-2-2000022−2i2i−2i2i000000004-44i−4i00440000-4-44i−4i4i−4i0000000000000000000000000000000000
χ1484-44i−4i00−1+5−1−52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ181−51+5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000-22−2i2i001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000-22−2i2i001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000-22−2i2i001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700004-44i−4i00−1+5−1−52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ181−51+5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000
χ1494-44i−4i00−1+5−1−5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ181−51+5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000-22−2i2i001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000-22−2i2i001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000-22−2i2i001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700004-44i−4i00−1+5−1−5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ181−51+5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000
χ1504-44i−4i00−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ141+51−5−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000-22−2i2i001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000-22−2i2i001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000-22−2i2i001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900004-44i−4i00−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ141+51−5−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000
χ1514-44i−4i00−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ141+51−5−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000-22−2i2i001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000-22−2i2i001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000-22−2i2i001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900004-44i−4i00−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ141+51−5−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000
χ1524-4−4i4i00440000-4-4−4i4i−4i4i00000000-222i−2i00-2-20000222i−2i2i−2i00000000-222i−2i00-2-20000222i−2i2i−2i00000000-222i−2i00-2-20000222i−2i2i−2i000000004-4−4i4i00440000-4-4−4i4i−4i4i0000000000000000000000000000000000
χ1534-4−4i4i00−1+5−1−52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ181−51+52ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000-222i−2i001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000-222i−2i001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000-222i−2i001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700004-4−4i4i00−1+5−1−52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ181−51+52ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000
χ1544-4−4i4i00−1+5−1−5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ181−51+52ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000-222i−2i001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000-222i−2i001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000-222i−2i001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700004-4−4i4i00−1+5−1−5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ181−51+52ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000
χ1554-4−4i4i00−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ141+51−52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000-222i−2i001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000-222i−2i001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000-222i−2i001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900004-4−4i4i00−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ141+51−52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000
χ1564-4−4i4i00−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ141+51−52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000-222i−2i001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000-222i−2i001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000-222i−2i001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900004-4−4i4i00−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ141+51−52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000

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