Finite Group Databasebeta

← Group #13086940

Character table — Group #13086940

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444442020202020202020202020202020202020203636363636363636363690909090
order1222333344556666666666661010101010101212121212121212151515151515151520202020303030303030303030303030303030303030303030303030606060606060606060606060606060606060606060606060606060606060606044121212121212121212121212121212122210101010101010102244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1
χ611111111-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ711111111-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-111
χ811111111-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1-1-1-1111111-1-1
χ92222222222−1−52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ102222222222−1−52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000000000000-2-21+521+521−521−521+521+521−521−520000
χ112222222222−1+52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ122222222222−1+52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000-2-21−521−521+521+521−521−521+521+520000
χ1322222222-2-2−1−52−1+52222222222222−1−52−1−52−1+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+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+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−520000000000000000002-2−1−52−1−52−1+52−1+521+521+521−521−520000
χ1422222222-2-2−1−52−1+52222222222222−1−52−1−52−1+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+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+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52000000000000000000-221+521+521−521−52−1−52−1−52−1+52−1+520000
χ1522222222-2-2−1+52−1−52222222222222−1+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+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+520000000000000000002-2−1+52−1+52−1−52−1−521−521−521+521+520000
χ1622222222-2-2−1+52−1−52222222222222−1+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+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52000000000000000000-221−521−521+521+52−1+52−1+52−1−52−1−520000
χ1722222-1-1-122222-1-1-12-1-1-12-1-1-122222222-1-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ1822222-1-1-122222-1-1-12-1-1-12-1-1-122222222-1-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-211111100000000000000
χ1922222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1222222-2-21111112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-222-1-1-1-1-1-1-2-211111100000000000000
χ2022222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1222222-2-21111112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-100000000000000
χ212222-12-1-12222-12-1-1-12-1-1-12-1-1222222-1-122-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-100000000000000
χ222222-12-1-12222-12-1-1-12-1-1-12-1-1222222-1-122-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-2111100000000000000
χ232222-12-1-1-2-222-12-1-1-12-1-1-12-1-122222211-2-21111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111112-2-1-122-1-1-1-111-2-2111100000000000000
χ242222-12-1-1-2-222-12-1-1-12-1-1-12-1-122222211-2-21111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2211-2-21111-1-122-1-1-1-100000000000000
χ252222-1-12-12222-1-12-1-1-12-1-1-12-1222222-1-1-1-122-1-1-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-100000000000000
χ262222-1-12-12222-1-12-1-1-12-1-1-12-1222222-1-1-1-122-1-1-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-21100000000000000
χ272222-1-12-1-2-222-1-12-1-1-12-1-1-12-12222221111-2-211-1-12-1-1-12-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-211112-2-1-1-1-122-1-11111-2-21100000000000000
χ282222-1-12-1-2-222-1-12-1-1-12-1-1-12-12222221111-2-211-1-12-1-1-12-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-21111-221111-2-211-1-1-1-122-1-100000000000000
χ292222-1-1-122222-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12200000000000000
χ302222-1-1-122222-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-200000000000000
χ312222-1-1-12-2-222-1-1-12-1-1-12-1-1-12222222111111-2-2-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-22-2-1-1-1-1-1-122111111-2-200000000000000
χ322222-1-1-12-2-222-1-1-12-1-1-12-1-1-12222222111111-2-2-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2-22111111-2-2-1-1-1-1-1-12200000000000000
χ3322-2-2222200222222-2-2-2-2-2-2-2-22-22-2-2-2000000002222222200002-22-22-22-22-22-22-22-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000002i−2i
χ3422-2-2222200222222-2-2-2-2-2-2-2-22-22-2-2-2000000002222222200002-22-22-22-22-22-22-22-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000−2i2i
χ352-22-222220022-2-2-2-2-2-2-2-22222-22-22-2-200000000222222220000-22-22-22-22-22-22-22-22-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-200
χ362-22-222220022-2-2-2-2-2-2-2-22222-22-22-2-200000000222222220000-22-22-22-22-22-22-22-22-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-2200
χ372-2-2222222-222-2-2-2-22222-2-2-2-2-2-2-2-2222-22-22-22-2222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-200000000000000000000000000000000
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χ392-2-2222222-2−1−52−1+52-2-2-2-22222-2-2-2-21+521+521−521−52−1−52−1+522-22-22-22-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−521+52−1+521−521+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+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−5200000000000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
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χ582-2-22-1-12-1-222211-21-1-12-111-21-2-2-2-2221-11-1-221-1-1-12-1-1-12-1-22-221111-2-2111111-2-211-1-12-1-1-12-111-1-111-1-1-2-22211-1-111-1-111-1-1-2-22211-1-100−333−300−333−3−33003−300000000000000
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χ714444-2-24-244−1−5−1+5-2-24-2-2-24-2-2-24-2−1−5−1−5−1+5−1+5−1−5−1+5-2-2-2-244-2-21+521+52−1−51+521−521−52−1+51−52−1−5−1−5−1+5−1+51+521+521+521+52−1−5−1−51+521+521−521−521−521−52−1+5−1+51−521−521+521+52−1−51+521−521−52−1+51−521+521+521+521+521+521+521+521+52−1−5−1−5−1−5−1−51+521+521+521+521−521−521−521−521−521−521−521−52−1+5−1+5−1+5−1+51−521−521−521−5200000000000000000000000000000000
χ724444-2-24-244−1+5−1−5-2-24-2-2-24-2-2-24-2−1+5−1+5−1−5−1−5−1+5−1−5-2-2-2-244-2-21−521−52−1+51−521+521+52−1−51+52−1+5−1+5−1−5−1−51−521−521−521−52−1+5−1+51−521−521+521+521+521+52−1−5−1−51+521+521−521−52−1+51−521+521+52−1−51+521−521−521−521−521−521−521−521−52−1+5−1+5−1+5−1+51−521−521−521−521+521+521+521+521+521+521+521+52−1−5−1−5−1−5−1−51+521+521+521+5200000000000000000000000000000000
χ734444-2-24-2-4-4−1−5−1+5-2-24-2-2-24-2-2-24-2−1−5−1−5−1+5−1+5−1−5−1+52222-4-4221+521+52−1−51+521−521−52−1+51−521+51+51−51−51+521+521+521+52−1−5−1−51+521+521−521−521−521−52−1+5−1+51−521−521+521+52−1−51+521−521−52−1+51−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+51+51+51+5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−51−51−51−5−1+52−1+52−1+52−1+5200000000000000000000000000000000
χ744444-2-24-2-4-4−1+5−1−5-2-24-2-2-24-2-2-24-2−1+5−1+5−1−5−1−5−1+5−1−52222-4-4221−521−52−1+51−521+521+52−1−51+521−51−51+51+51−521−521−521−52−1+5−1+51−521−521+521+521+521+52−1−5−1−51+521+521−521−52−1+51−521+521+52−1−51+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−51−51−51−5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+51+51+51+5−1−52−1−52−1−52−1−5200000000000000000000000000000000
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χ1214-44-4-2-2-2400−1+5−1−5222-4222-4-2-2-241−5−1+51+5−1−51−51+5000000001−521−521−52−1+51+521+521+52−1−50000−1+521−52−1+521−52−1+521−521−5−1+5−1−521+52−1−521+52−1−521+521+5−1−5−1+52−1+52−1+521−5−1−52−1−52−1−521+5−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000000000000000
χ1224-44-4-2-2-2400−1+5−1−5222-4222-4-2-2-241−5−1+51+5−1−51−51+5000000001−521−521−52−1+51+521+521+52−1−50000−1+521−52−1+521−52−1+521−521−5−1+5−1−521+52−1−521+52−1−521+521+5−1−5−1+52−1+52−1+521−5−1−52−1−52−1−521+5ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000000000000000000
χ1234-4-444-2-2-24-4−1−5−1+5-42224-2-2-2-42221+51+51−51−5−1−5−1+54-4-22-22-22−1−51+521+521+52−1+51−521−521−52−1−51+5−1+51−51+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+52−1−51+521+521+52−1+51−521−521−52−1−5−1−51+51+51+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1+5−1+51−51−51−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+5200000000000000000000000000000000
χ1244-4-444-2-2-24-4−1+5−1−5-42224-2-2-2-42221−51−51+51+5−1+5−1−54-4-22-22-22−1+51−521−521−52−1−51+521+521+52−1+51−5−1−51+51−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−52−1+51−521−521−52−1−51+521+521+52−1+5−1+51−51−51−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1−5−1−51+51+51+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−5200000000000000000000000000000000
χ1254-4-444-2-2-2-44−1−5−1+5-42224-2-2-2-42221+51+51−51−5−1−5−1+5-442-22-22-2−1−51+521+521+52−1+51−521−521−521+5−1−51−5−1+51+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+52−1−51+521+521+52−1+51−521−521−521+51+5−1−5−1−5−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+521−51−5−1+5−1+5−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−5200000000000000000000000000000000
χ1264-4-444-2-2-2-44−1+5−1−5-42224-2-2-2-42221−51−51+51+5−1+5−1−5-442-22-22-2−1+51−521−521−52−1−51+521+521+521−5−1+51+5−1−51−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−52−1+51−521−521−52−1−51+521+521+521−51−5−1+5−1+5−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−521+51+5−1−5−1−5−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+5200000000000000000000000000000000
χ1274-4-44-24-2-24-4−1−5−1+52-422-24-2-22-4221+51+51−51−5−1−5−1+5-224-4-22-221+52−1−51+521+521−52−1+51−521−52−1−51+5−1+51−5−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+521+52−1−51+521+521−52−1+51−521−521+521+52−1−52−1−52−1−5−1−51+51+51+521+52−1−52−1−521+521+52−1−52−1−521−521−52−1+52−1+52−1+5−1+51−51−51−521−52−1+52−1+521−521−52−1+52−1+5200000000000000000000000000000000
χ1284-4-44-24-2-24-4−1+5−1−52-422-24-2-22-4221−51−51+51+5−1+5−1−5-224-4-22-221−52−1+51−521−521+52−1−51+521+52−1+51−5−1−51+5−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−521−52−1+51−521−521+52−1−51+521+521−521−52−1+52−1+52−1+5−1+51−51−51−521−52−1+52−1+521−521−52−1+52−1+521+521+52−1−52−1−52−1−5−1−51+51+51+521+52−1−52−1−521+521+52−1−52−1−5200000000000000000000000000000000
χ1294-4-44-24-2-2-44−1−5−1+52-422-24-2-22-4221+51+51−51−5−1−5−1+52-2-442-22-21+52−1−51+521+521−52−1+51−521−521+5−1−51−5−1+5−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+521+52−1−51+521+521−52−1+51−521−52−1−52−1−521+521+521+51+5−1−5−1−5−1−52−1−521+521+52−1−52−1−521+521+52−1+52−1+521−521−521−51−5−1+5−1+5−1+52−1+521−521−52−1+52−1+521−521−5200000000000000000000000000000000
χ1304-4-44-24-2-2-44−1+5−1−52-422-24-2-22-4221−51−51+51+5−1+5−1−52-2-442-22-21−52−1+51−521−521+52−1−51+521+521−5−1+51+5−1−5−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−521−52−1+51−521−521+52−1−51+521+52−1+52−1+521−521−521−51−5−1+5−1+5−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+521+51+5−1−5−1−5−1−52−1−521+521+52−1−52−1−521+521+5200000000000000000000000000000000
χ1314-4-44-2-24-24-4−1−5−1+522-42-2-24-222-421+51+51−51−5−1−5−1+5-22-224-4-221+521+52−1−51+521−521−52−1+51−52−1−51+5−1+51−5−1−52−1−52−1−52−1−521+51+5−1−52−1−52−1+52−1+52−1+52−1+521−51−5−1+52−1+521+521+52−1−51+521−521−52−1+51−521+521+52−1−52−1−521+521+52−1−52−1−52−1−5−1−51+51+51+521+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+52−1+5−1+51−51−51−521−52−1+52−1+5200000000000000000000000000000000
χ1324-4-44-2-24-24-4−1+5−1−522-42-2-24-222-421−51−51+51+5−1+5−1−5-22-224-4-221−521−52−1+51−521+521+52−1−51+52−1+51−5−1−51+5−1+52−1+52−1+52−1+521−51−5−1+52−1+52−1−52−1−52−1−52−1−521+51+5−1−52−1−521−521−52−1+51−521+521+52−1−51+521−521−52−1+52−1+521−521−52−1+52−1+52−1+5−1+51−51−51−521−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−52−1−5−1−51+51+51+521+52−1−52−1−5200000000000000000000000000000000
χ1334-4-44-2-24-2-44−1−5−1+522-42-2-24-222-421+51+51−51−5−1−5−1+52-22-2-442-21+521+52−1−51+521−521−52−1+51−521+5−1−51−5−1+5−1−52−1−52−1−52−1−521+51+5−1−52−1−52−1+52−1+52−1+52−1+521−51−5−1+52−1+521+521+52−1−51+521−521−52−1+51−52−1−52−1−521+521+52−1−52−1−521+521+521+51+5−1−5−1−5−1−52−1−521+521+52−1+52−1+521−521−52−1+52−1+521−521−521−51−5−1+5−1+5−1+52−1+521−521−5200000000000000000000000000000000
χ1344-4-44-2-24-2-44−1+5−1−522-42-2-24-222-421−51−51+51+5−1+5−1−52-22-2-442-21−521−52−1+51−521+521+52−1−51+521−5−1+51+5−1−5−1+52−1+52−1+52−1+521−51−5−1+52−1+52−1−52−1−52−1−52−1−521+51+5−1−52−1−521−521−52−1+51−521+521+52−1−51+52−1+52−1+521−521−52−1+52−1+521−521−521−51−5−1+5−1+5−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+521+51+5−1−5−1−5−1−52−1−521+521+5200000000000000000000000000000000
χ1354-4-44-2-2-244-4−1−5−1+5222-4-2-2-24222-41+51+51−51−5−1−5−1+5-22-22-224-41+521+521+52−1−51−521−521−52−1+5−1−51+5−1+51−5−1−52−1−52−1−52−1−52−1−52−1−521+51+5−1+52−1+52−1+52−1+52−1+52−1+521−51−51+521+521+52−1−51−521−521−52−1+51+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−5−1−51+51+51−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+5−1+51−51−500000000000000000000000000000000
χ1364-4-44-2-2-244-4−1+5−1−5222-4-2-2-24222-41−51−51+51+5−1+5−1−5-22-22-224-41−521−521−52−1+51+521+521+52−1−5−1+51−5−1−51+5−1+52−1+52−1+52−1+52−1+52−1+521−51−5−1−52−1−52−1−52−1−52−1−52−1−521+51+51−521−521−52−1+51+521+521+52−1−51−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+5−1+51−51−51+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−5−1−51+51+500000000000000000000000000000000
χ1374-4-44-2-2-24-44−1−5−1+5222-4-2-2-24222-41+51+51−51−5−1−5−1+52-22-22-2-441+521+521+52−1−51−521−521−52−1+51+5−1−51−5−1+5−1−52−1−52−1−52−1−52−1−52−1−521+51+5−1+52−1+52−1+52−1+52−1+52−1+521−51−51+521+521+52−1−51−521−521−52−1+5−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+521+51+5−1−5−1−5−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−521−51−5−1+5−1+500000000000000000000000000000000
χ1384-4-44-2-2-24-44−1+5−1−5222-4-2-2-24222-41−51−51+51+5−1+5−1−52-22-22-2-441−521−521−52−1+51+521+521+52−1−51−5−1+51+5−1−5−1+52−1+52−1+52−1+52−1+52−1+521−51−5−1−52−1−52−1−52−1−52−1−52−1−521+51+51−521−521−52−1+51+521+521+52−1−5−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−521−51−5−1+5−1+5−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+521+51+5−1−5−1−500000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.