Finite Group Databasebeta

← Group #13089406

Character table — Group #13089406

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1122222222222444444444444444444444444444444444444444151518183030303030303036363636606011222222222224444444444444444444444444444444444444441515181830303030303030363636366060
order123345566101012123612121215151515151515152020303030303030303060606060606060606060606060606060222222466121210101010662266410106610101212661212123030303030303030202030303030303030306060606060606060606060606060606022222246612121010101066
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-11111-1-11111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111
χ51111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-111-1-11-11111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-111-1-11-1
χ61111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-111-1-1-1-111-111111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-111-1-1-1-111-11
χ71111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-111111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-11
χ81111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1111-11111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1111-1
χ922222−1−52−1+5222−1−52−1+522222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200220000000−1−52−1+52−1−52−1+520022222−1−52−1+5222−1−52−1+522222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200220000000−1−52−1+52−1−52−1+5200
χ1022222−1−52−1+5222−1−52−1+522222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200-2-200000001+521−521+521−520022222−1−52−1+5222−1−52−1+522222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200-2-200000001+521−521+521−5200
χ1122222−1+52−1−5222−1+52−1−522222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200220000000−1+52−1−52−1+52−1−520022222−1+52−1−5222−1+52−1−522222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200220000000−1+52−1−52−1+52−1−5200
χ1222222−1+52−1−5222−1+52−1−522222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200-2-200000001−521+521−521+520022222−1+52−1−5222−1+52−1−522222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200-2-200000001−521+521−521+5200
χ132222-2−1−52−1+5222−1−52−1+52-2-222-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52002-20000000−1−52−1+521+521−52002222-2−1−52−1+5222−1−52−1+52-2-222-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52002-20000000−1−52−1+521+521−5200
χ142222-2−1−52−1+5222−1−52−1+52-2-222-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200-2200000001+521−52−1−52−1+52002222-2−1−52−1+5222−1−52−1+52-2-222-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200-2200000001+521−52−1−52−1+5200
χ152222-2−1+52−1−5222−1+52−1−52-2-222-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52002-20000000−1+52−1−521−521+52002222-2−1+52−1−5222−1+52−1−52-2-222-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52002-20000000−1+52−1−521−521+5200
χ162222-2−1+52−1−5222−1+52−1−52-2-222-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200-2200000001−521+52−1+52−1−52002222-2−1+52−1−5222−1+52−1−52-2-222-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200-2200000001−521+52−1+52−1−5200
χ17222-1222-122222-1-1-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022000000000-1-1222-1222-122222-1-1-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022000000000-1-1
χ18222-1222-122222-1-1-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-200000000011222-1222-122222-1-1-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-200000000011
χ19222-1-222-1222-2-2-1-11112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-211111100002-2000000000-11222-1-222-1222-2-2-1-11112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-211111100002-2000000000-11
χ20222-1-222-1222-2-2-1-11112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-21111110000-220000000001-1222-1-222-1222-2-2-1-11112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-21111110000-220000000001-1
χ2122-122222-122-1-1-1-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12200002-1-1-1-100000022-122222-122-1-1-1-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12200002-1-1-1-1000000
χ2222-122222-122-1-1-1-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000-2111100000022-122222-122-1-1-1-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000-21111000000
χ2322-12-2222-12211-1-1-211-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-21111220000-2-1-11100000022-12-2222-12211-1-1-211-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-21111220000-2-1-111000000
χ2422-12-2222-12211-1-1-211-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-21111-2-20000211-1-100000022-12-2222-12211-1-1-211-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-21111-2-20000211-1-1000000
χ252-222022-2-2-2-2002-20002222222200-2-2-2-2-2-2-2-200000000000000002-2000002-2000000002-222022-2-2-2-2002-20002222222200-2-2-2-2-2-2-2-200000000000000002-2000002-200000000
χ262-222022-2-2-2-2002-20002222222200-2-2-2-2-2-2-2-20000000000000000-2200000-22000000002-222022-2-2-2-2002-20002222222200-2-2-2-2-2-2-2-20000000000000000-2200000-2200000000
χ272-2-12022-21-2-23−3-1103−3-12-1-1-12-1-1001-2111-2113−30033−3−33−30033−3−32-200000-113−30000002-2-12022-21-2-23−3-1103−3-12-1-1-12-1-1001-2111-2113−30033−3−33−30033−3−32-200000-113−3000000
χ282-2-12022-21-2-23−3-1103−3-12-1-1-12-1-1001-2111-2113−30033−3−33−30033−3−3-22000001-1−330000002-2-12022-21-2-23−3-1103−3-12-1-1-12-1-1001-2111-2113−30033−3−33−30033−3−3-22000001-1−33000000
χ292-2-12022-21-2-2−33-110−33-12-1-1-12-1-1001-2111-211−3300−3−333−3300−3−3332-200000-11−330000002-2-12022-21-2-2−33-110−33-12-1-1-12-1-1001-2111-211−3300−3−333−3300−3−3332-200000-11−33000000
χ302-2-12022-21-2-2−33-110−33-12-1-1-12-1-1001-2111-211−3300−3−333−3300−3−333-22000001-13−30000002-2-12022-21-2-2−33-110−33-12-1-1-12-1-1001-2111-211−3300−3−333−3300−3−333-22000001-13−3000000
χ31444-24−1−5−1+5-24−1−5−1+544-2-2-2-2-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−52−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−5200000000000000000444-24−1−5−1+5-24−1−5−1+544-2-2-2-2-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−52−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−5200000000000000000
χ32444-24−1+5−1−5-24−1+5−1−544-2-2-2-2-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+52−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+5200000000000000000444-24−1+5−1−5-24−1+5−1−544-2-2-2-2-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+52−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+5200000000000000000
χ33444-2-4−1−5−1+5-24−1−5−1+5-4-4-2-2222−1−51+521+521+52−1+51−521−521−521+51−5−1−51+521+521+52−1+51−521−521−521+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+5200000000000000000444-2-4−1−5−1+5-24−1−5−1+5-4-4-2-2222−1−51+521+521+52−1+51−521−521−521+51−5−1−51+521+521+52−1+51−521−521−521+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+5200000000000000000
χ34444-2-4−1+5−1−5-24−1+5−1−5-4-4-2-2222−1+51−521−521−52−1−51+521+521+521−51+5−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000444-2-4−1+5−1−5-24−1+5−1−5-4-4-2-2222−1+51−521−521−52−1−51+521+521+521−51+5−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000
χ3544-244−1−5−1+54-2−1−5−1+5-2-2-2-24-2-21+52−1−51+521+521−52−1+51−521−52−1−5−1+51+52−1−51+521+521−52−1+51−521−521+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−520000000000000000044-244−1−5−1+54-2−1−5−1+5-2-2-2-24-2-21+52−1−51+521+521−52−1+51−521−52−1−5−1+51+52−1−51+521+521−52−1+51−521−521+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−5200000000000000000
χ3644-244−1+5−1−54-2−1+5−1−5-2-2-2-24-2-21−52−1+51−521−521+52−1−51+521+52−1+5−1−51−52−1+51−521−521+52−1−51+521+521−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+520000000000000000044-244−1+5−1−54-2−1+5−1−5-2-2-2-24-2-21−52−1+51−521−521+52−1−51+521+52−1+5−1−51−52−1+51−521−521+52−1−51+521+521−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+5200000000000000000
χ3744-24-4−1−5−1+54-2−1−5−1+522-2-2-4221+52−1−51+521+521−52−1+51−521−521+51−51+52−1−51+521+521−52−1+51−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+520000000000000000044-24-4−1−5−1+54-2−1−5−1+522-2-2-4221+52−1−51+521+521−52−1+51−521−521+51−51+52−1−51+521+521−52−1+51−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+5200000000000000000
χ3844-24-4−1+5−1−54-2−1+5−1−522-2-2-4221−52−1+51−521−521+52−1−51+521+521−51+51−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−520000000000000000044-24-4−1+5−1−54-2−1+5−1−522-2-2-4221−52−1+51−521−521+52−1−51+521+521−51+51−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−5200000000000000000
χ3944-2-2444-2-244-2-211-211-2-211-2-21144-2-211-2-211-2-2-2-21111-2-2-2-211110000000000000000044-2-2444-2-244-2-211-211-2-211-2-21144-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000000
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χ751111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-111-1-1-1-111-11-1-1-1-11-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11-11-11-1-11111-1-11-1
χ761111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-11-1-1-1-11-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-111-1-111-1-1-1-1111-1
χ771111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1111-1-1-1-1-11-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111-1-11-111-1-111-1-1-11
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χ1184-4440−1−5−1+5-4-41+51−5004-4000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−5000000000000000000000000000000000-44-4-401+51−544−1−5−1+500-440001+51+51+51+51−51−51−51−500−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5000000000000000000000000000000000
χ1194-4440−1+5−1−5-4-41−51+5004-4000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+5000000000000000000000000000000000-44-4-401−51+544−1+5−1−500-440001−51−51−51−51+51+51+51+500−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5000000000000000000000000000000000
χ1204-44-20442-4-4-400-220004-2-2-24-2-2-200-4222-4222000000000000000000000000000000000-44-420-4-4-2444002-2000-4222-4222004-2-2-24-2-2-2000000000000000000000000000000000
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χ1244-44-20−1+5−1−52-41−51+500-22000−1+51−521−521−52−1−51+521+521+52001−5−1+52−1+52−1+521+5−1−52−1−52−1−5200ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000-44-4201−51+5-24−1+5−1−5002-20001−5−1+52−1+52−1+521+5−1−52−1−52−1−5200−1+51−521−521−52−1−51+521+521+5200−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000
χ1254-4-240−1−5−1+5-421+51−523−23-22023−231+52−1−51+521+521−52−1+51−521−5200−1−521+5−1−52−1−52−1+521−5−1+52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000-442-401+51−54-2−1−5−1+5−23232-20−2323−1−521+5−1−52−1−52−1+521−5−1+52−1+52001+52−1−51+521+521−52−1+51−521−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ4700000000000000000
χ1264-4-240−1−5−1+5-421+51−5−2323-220−23231+52−1−51+521+521−52−1+51−521−5200−1−521+5−1−52−1−52−1+521−5−1+52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ4700000000000000000-442-401+51−54-2−1−5−1+523−232-2023−23−1−521+5−1−52−1−52−1+521−5−1+52−1+52001+52−1−51+521+521−52−1+51−521−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000
χ1274-4-240−1+5−1−5-421−51+523−23-22023−231−52−1+51−521−521+52−1−51+521+5200−1+521−5−1+52−1+52−1−521+5−1−52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ5900000000000000000-442-401−51+54-2−1+5−1−5−23232-20−2323−1+521−5−1+52−1+52−1−521+5−1−52−1−52001−52−1+51−521−521+52−1−51+521+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000
χ1284-4-240−1+5−1−5-421−51+5−2323-220−23231−52−1+51−521−521+52−1−51+521+5200−1+521−5−1+52−1+52−1−521+5−1−52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000-442-401−51+54-2−1+5−1−523−232-2023−23−1+521−5−1+52−1+52−1−521+5−1−52−1−52001−52−1+51−521−521+52−1−51+521+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ5900000000000000000
χ1294-4-2-204422-4-423−231-10−33-2-211-2-2110022-1-122-1-123−2300−3−33323−2300−3−33300000000000000000-44220-4-4-2-244−2323-1103−322-1-122-1-100-2-211-2-211−23230033−3−3−23230033−3−300000000000000000
χ1304-4-2-204422-4-4−23231-103−3-2-211-2-2110022-1-122-1-1−23230033−3−3−23230033−3−300000000000000000-44220-4-4-2-24423−23-110−3322-1-122-1-100-2-211-2-21123−2300−3−33323−2300−3−33300000000000000000
χ1314-4-2-20−1−5−1+5221+51−523−231-10−331+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ5800−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ19+ζ59ζ11−ζ31ζ19−ζ59−ζ11+ζ31ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ23−ζ43−ζ7+ζ47−ζ23+ζ43ζ7−ζ4700000000000000000-442201+51−5-2-2−1−5−1+5−2323-1103−3−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58001+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ19−ζ59−ζ11+ζ31−ζ19+ζ59ζ11−ζ31−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ23+ζ43ζ7−ζ47ζ23−ζ43−ζ7+ζ4700000000000000000
χ1324-4-2-20−1−5−1+5221+51−523−231-10−331+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ5800−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ31−ζ19+ζ59−ζ11+ζ31ζ19−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ47ζ23−ζ43ζ7−ζ47−ζ23+ζ4300000000000000000-442201+51−5-2-2−1−5−1+5−2323-1103−3−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58001+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ31ζ19−ζ59ζ11−ζ31−ζ19+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ47−ζ23+ζ43−ζ7+ζ47ζ23−ζ4300000000000000000
χ1334-4-2-20−1−5−1+5221+51−5−23231-103−31+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ5800−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ19−ζ59−ζ11+ζ31−ζ19+ζ59ζ11−ζ31−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ23+ζ43ζ7−ζ47ζ23−ζ43−ζ7+ζ4700000000000000000-442201+51−5-2-2−1−5−1+523−23-110−33−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58001+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ19+ζ59ζ11−ζ31ζ19−ζ59−ζ11+ζ31ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ23−ζ43−ζ7+ζ47−ζ23+ζ43ζ7−ζ4700000000000000000
χ1344-4-2-20−1−5−1+5221+51−5−23231-103−31+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ5800−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ31ζ19−ζ59ζ11−ζ31−ζ19+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ47−ζ23+ζ43−ζ7+ζ47ζ23−ζ4300000000000000000-442201+51−5-2-2−1−5−1+523−23-110−33−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58001+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ31−ζ19+ζ59−ζ11+ζ31ζ19−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ47ζ23−ζ43ζ7−ζ47−ζ23+ζ4300000000000000000
χ1354-4-2-20−1+5−1−5221−51+523−231-10−331−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ4600−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ23−ζ43−ζ7+ζ47−ζ23+ζ43ζ7−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ31−ζ19+ζ59−ζ11+ζ31ζ19−ζ5900000000000000000-442201−51+5-2-2−1+5−1−5−2323-1103−3−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46001−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ23+ζ43ζ7−ζ47ζ23−ζ43−ζ7+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ31ζ19−ζ59ζ11−ζ31−ζ19+ζ5900000000000000000
χ1364-4-2-20−1+5−1−5221−51+523−231-10−331−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ4600−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ47ζ23−ζ43ζ7−ζ47−ζ23+ζ43−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ19+ζ59ζ11−ζ31ζ19−ζ59−ζ11+ζ3100000000000000000-442201−51+5-2-2−1+5−1−5−2323-1103−3−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46001−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ47−ζ23+ζ43−ζ7+ζ47ζ23−ζ43ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ19−ζ59−ζ11+ζ31−ζ19+ζ59ζ11−ζ3100000000000000000
χ1374-4-2-20−1+5−1−5221−51+5−23231-103−31−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ4600−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ23+ζ43ζ7−ζ47ζ23−ζ43−ζ7+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ31ζ19−ζ59ζ11−ζ31−ζ19+ζ5900000000000000000-442201−51+5-2-2−1+5−1−523−23-110−33−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46001−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ23−ζ43−ζ7+ζ47−ζ23+ζ43ζ7−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ31−ζ19+ζ59−ζ11+ζ31ζ19−ζ5900000000000000000
χ1384-4-2-20−1+5−1−5221−51+5−23231-103−31−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ4600−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ47−ζ23+ζ43−ζ7+ζ47ζ23−ζ43ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ19−ζ59−ζ11+ζ31−ζ19+ζ59ζ11−ζ3100000000000000000-442201−51+5-2-2−1+5−1−523−23-110−33−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46001−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ47ζ23−ζ43ζ7−ζ47−ζ23+ζ43−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ19+ζ59ζ11−ζ31ζ19−ζ59−ζ11+ζ3100000000000000000

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