Finite Group Databasebeta

← Group #14438718

Character table — Group #14438718

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222244444444444444444444888888888888888888888810101010101010101010101012121212161616161616161616161616202020202020242424242424242424244040404040404848484860606060120120
order1222344556661010101010104412121212121215152020202030303030303044121212122020202060606060606060606060606022444444121212128888202020206060606060606060661212121244404040404040404022666620202020888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111111111111111-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ10111111111111111111-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-1-11-1-1-1-111111-111-1-1-1-111-1-111-11
χ11111111111111111111-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111-11111-1-1-1-1-11-1-11111-1-1-1-111-11
χ12111111111111111111-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-1-1-1-11111-11-1-111-1-11111-1-11-1
χ13111111111111111111-1-1-1-1-1-111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-11-1-111-1-11111-1-1-11
χ14111111111111111111-1-1-1-1-1-111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-11-1-11111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-1-111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-111111-1-1-1-11-111-1-1-1-111-1-1111-1
χ16111111111111111111-1-1-1-1-1-111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111-1-1-1-1-111111-111-1-111-1-111-1-1-11
χ172222222−1−52−1+52222−1−52−1+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+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+520000000000002222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+52000000
χ182222222−1−52−1+52222−1−52−1+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+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+52000000000000-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-21+521+521−521−521+521+521−521−520000001+521−521+521−52000000
χ192222222−1−52−1+52222−1−52−1+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+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5200000000000022221+521−521+521−521+521+521−521−521+521+521−521−52000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−52000000
χ202222222−1−52−1+52222−1−52−1+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+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52000000000000-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−52000000221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+52000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-21+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5200000000000022-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−52000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-21+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52000000000000-2-222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+52000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2221+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5200000000000022-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000-22−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52−1−52−1+52000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2221+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52000000000000-2-2221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000002-21+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+521+521−52000000
χ252222222−1+52−1−52222−1+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+52−1−52222222−1+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+52−1−52−1−520000000000002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−52000000
χ262222222−1+52−1−52222−1+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+52−1−52222222−1+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+52−1−52−1−52000000000000-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-21−521−521+521+521−521−521+521+520000001−521+521−521+52000000
χ272222222−1+52−1−52222−1+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+52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5200000000000022221−521+521−521+521−521−521+521+521−521−521+521+52000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+52000000
χ282222222−1+52−1−52222−1+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+52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52000000000000-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+52000000221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−52000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200000000000022-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+52000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52000000000000-2-222−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000-221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−52000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200000000000022-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000-22−1+52−1+52−1−52−1−521−521−521+521+520000001−521+52−1+52−1−52000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52000000000000-2-2221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000002-21−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−521−521+52000000
χ3322222-2-2222222222222-222-2-2-2-222-2-2-2-22222220000002-22-222-2-222-2-2-2-2-2-222-2-222-2-2-2-2-2-200000000000000002222-2-200000000000000000000000000
χ3422222-2-2222222222222-222-2-2-2-222-2-2-2-22222220000002-22-222-2-222-2-2-2-2-2-2-2-222-2-22222220000000000000000-2-2-2-22200000000000000000000000000
χ3522222-2-222222222222-22-2-222-2-222-2-2-2-2222222000000-22-22-2-222-2-222-2-2-2-222-2-2-2-222-2-2-2-2000000000000000022-2-22200000000000000000000000000
χ3622222-2-222222222222-22-2-222-2-222-2-2-2-2222222000000-22-22-2-222-2-222-2-2-2-2-2-22222-2-222220000000000000000-2-222-2-200000000000000000000000000
χ372222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-10000000000
χ382222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111100002222-1-1-1-1-1-1-1-11111110000000000-2-211110000000000
χ392222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-10000-2-2-2-211111111-1-1-1-1-1-10000000000-2-211110000000000
χ402222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211110000-2-2-2-211111111111111000000000022-1-1-1-10000000000
χ412222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-12-2-1-111-2-2-2-211111111-1-1-1-12222-2-2-2-2-1-1-1-1000022-2-2-1-1-1-11111-1-1111100000000002-2-1-1110000000000
χ422222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-12-2-1-111-2-2-2-211111111-1-1-1-1-2-2-2-222221111000022-2-2-1-1-1-1111111-1-1-1-10000000000-2211-1-10000000000
χ432222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-1-2211-1-1-2-2-2-211111111-1-1-1-12222-2-2-2-2-1-1-1-10000-2-2221111-1-1-1-1-1-111110000000000-2211-1-10000000000
χ442222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-1-2211-1-1-2-2-2-211111111-1-1-1-1-2-2-2-2222211110000-2-2221111-1-1-1-111-1-1-1-100000000002-2-1-1110000000000
χ452222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-100−i3i3−i3i32-22-2-1-111-1-111111122-2-222-2-2111100000000−i3i3−i3i3−i3i3−i3i3-1-1-1-111000000000000−i3i3−i3i30000000000
χ462222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-100−i3i3−i3i32-22-2-1-111-1-1111111-2-222-2-222-1-1-1-100000000−i3i3−i3i3−i3i3−i3i31111-1-1000000000000i3−i3i3−i30000000000
χ472222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-100i3−i3i3−i32-22-2-1-111-1-111111122-2-222-2-2111100000000i3−i3i3−i3i3−i3i3−i3-1-1-1-111000000000000i3−i3i3−i30000000000
χ482222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-100i3−i3i3−i32-22-2-1-111-1-1111111-2-222-2-222-1-1-1-100000000i3−i3i3−i3i3−i3i3−i31111-1-1000000000000−i3i3−i3i30000000000
χ492222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-100−i3i3i3−i3-22-2211-1-111-1-1111122-2-2-2-222111100000000−i3i3−i3i3i3−i3i3−i3-1-111-1-1000000000000−i3i3i3−i30000000000
χ502222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-100−i3i3i3−i3-22-2211-1-111-1-11111-2-22222-2-2-1-1-1-100000000−i3i3−i3i3i3−i3i3−i311-1-111000000000000i3−i3−i3i30000000000
χ512222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-100i3−i3−i3i3-22-2211-1-111-1-1111122-2-2-2-222111100000000i3−i3i3−i3−i3i3−i3i3-1-111-1-1000000000000i3−i3−i3i30000000000
χ522222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-100i3−i3−i3i3-22-2211-1-111-1-11111-2-22222-2-2-1-1-1-100000000i3−i3i3−i3−i3i3−i3i311-1-111000000000000−i3i3i3−i30000000000
χ5322-2-222-222-2-2222-2-2-2-20000002-2222-22-2-2-2-2-2220000000000000000002-22-22-22-2000022-2-2002i−2i0000000000002-200000000002i−2i2i−2i0000000000002i−2i00
χ5422-2-222-222-2-2222-2-2-2-20000002-2222-22-2-2-2-2-2220000000000000000002-22-22-22-2000022-2-200−2i2i0000000000002-20000000000−2i2i−2i2i000000000000−2i2i00
χ5522-2-222-222-2-2222-2-2-2-20000002-2222-22-2-2-2-2-2220000000000000000002-22-2-22-220000-2-222002i−2i000000000000-2200000000002i−2i2i−2i000000000000−2i2i00
χ5622-2-222-222-2-2222-2-2-2-20000002-2222-22-2-2-2-2-2220000000000000000002-22-2-22-220000-2-22200−2i2i000000000000-220000000000−2i2i−2i2i0000000000002i−2i00
χ5722-2-22-2222-2-2222-2-2-2-2000000-2222-22-22-2-2-2-222000000000000000000-22-222-2-220000-2-2222i−2i000000000000002-20000002i−2i2i−2i000000000000002i−2i0000
χ5822-2-22-2222-2-2222-2-2-2-2000000-2222-22-22-2-2-2-222000000000000000000-22-222-2-220000-2-222−2i2i000000000000002-2000000−2i2i−2i2i00000000000000−2i2i0000
χ5922-2-22-2222-2-2222-2-2-2-2000000-2222-22-22-2-2-2-222000000000000000000-22-22-222-2000022-2-22i−2i00000000000000-220000002i−2i2i−2i00000000000000−2i2i0000
χ6022-2-22-2222-2-2222-2-2-2-2000000-2222-22-22-2-2-2-222000000000000000000-22-22-222-2000022-2-2−2i2i00000000000000-22000000−2i2i−2i2i000000000000002i−2i0000
χ6144444-4-4−1−5−1+5444−1−5−1+5−1−5−1−5−1+5−1+54-444-4-4-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+5000000−1−51+5−1+51−5−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−5000000000000000000000000000000000000000000000000000000000000
χ6244444-4-4−1−5−1+5444−1−5−1+5−1−5−1−5−1+5−1+5-44-4-444-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+50000001+5−1−51−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000000000000000000000000
χ6344444-4-4−1+5−1−5444−1+5−1−5−1+5−1+5−1−5−1−54-444-4-4-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−5000000−1+51−5−1−51+5−1+5−1+51−51−5−1−5−1−51+51+51−51−51+51+5000000000000000000000000000000000000000000000000000000000000
χ6444444-4-4−1+5−1−5444−1+5−1−5−1+5−1+5−1−5−1−5-44-4-444-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−50000001−5−1+51+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000000000000000000000000
χ654444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+544-2-2-2-2-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−5244-2-2-2-2−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−520000000000000000−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−5200000000000000000000000000000000
χ664444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+544-2-2-2-2-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−52-4-42222−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−5200000000000000001+51−51+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ674444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-4-42222-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−524-4-2-2221+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−520000000000000000−1−5−1+51+51−51+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ684444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-4-42222-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−52-4422-2-21+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−5200000000000000001+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000
χ694444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−544-2-2-2-2-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+5244-2-2-2-2−1+5−1+5−1−5−1−51−521−521−521−521+521+521+521+521−521−521+521+520000000000000000−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+5200000000000000000000000000000000
χ704444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−544-2-2-2-2-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+52-4-42222−1+5−1+5−1−5−1−51−521−521−521−521+521+521+521+521−521−521+521+5200000000000000001−51+51−51+5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ714444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-4-42222-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+524-4-2-2221−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+520000000000000000−1+5−1−51−51+51−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ724444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-4-42222-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+52-4422-2-21−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+5200000000000000001−51+5−1+5−1−5−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000000
χ734444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+54-4-2-222221+521−521+51+51−51−51+521+521−521−521+521−5200−2i32i3−2i32i3−1−51+5−1+51−51+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ5800000000000000000000000000000000
χ744444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+54-4-2-222221+521−521+51+51−51−51+521+521−521−521+521−52002i3−2i32i3−2i3−1−51+5−1+51−51+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ5800000000000000000000000000000000
χ754444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-4422-2-2221+521−521+51+51−51−51+521+521−521−521+521−5200−2i32i32i3−2i31+5−1−51−5−1+5−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5200000000000000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ5800000000000000000000000000000000
χ764444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-4422-2-2221+521−521+51+51−51−51+521+521−521−521+521−52002i3−2i3−2i32i31+5−1−51−5−1+5−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5200000000000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ5800000000000000000000000000000000
χ774444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−54-4-2-222221−521+521−51−51+51+51−521−521+521+521−521+5200−2i32i3−2i32i3−1+51−5−1−51+51−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600000000000000000000000000000000
χ784444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−54-4-2-222221−521+521−51−51+51+51−521−521+521+521−521+52002i3−2i32i3−2i3−1+51−5−1−51+51−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600000000000000000000000000000000
χ794444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-4422-2-2221−521+521−51−51+51+51−521−521+521+521−521+5200−2i32i32i3−2i31−5−1+51+5−1−5−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200000000000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600000000000000000000000000000000
χ804444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-4422-2-2221−521+521−51−51+51+51−521−521+521+521−521+52002i3−2i3−2i32i31−5−1+51+5−1−5−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200000000000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600000000000000000000000000000000
χ8144-4-444-4−1−5−1+5-4-44−1−5−1+51+51+51−51−50000004-4−1−5−1+5−1−51+5−1+51−51+51+51−51−5−1−5−1+5000000000000000000−1−51+5−1+51−5000000000000004i−4i000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000
χ8244-4-444-4−1−5−1+5-4-44−1−5−1+51+51+51−51−50000004-4−1−5−1+5−1−51+5−1+51−51+51+51−51−5−1−5−1+5000000000000000000−1−51+5−1+51−500000000000000−4i4i0000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000
χ8344-4-444-4−1+5−1−5-4-44−1+5−1−51−51−51+51+50000004-4−1+5−1−5−1+51−5−1−51+51−51−51+51+5−1+5−1−5000000000000000000−1+51−5−1−51+5000000000000004i−4i000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000
χ8444-4-444-4−1+5−1−5-4-44−1+5−1−51−51−51+51+50000004-4−1+5−1−5−1+51−5−1−51+51−51−51+51+5−1+5−1−5000000000000000000−1+51−5−1−51+500000000000000−4i4i0000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000
χ8544-4-44-44−1−5−1+5-4-44−1−5−1+51+51+51−51−5000000-44−1−5−1+51+5−1−51−5−1+51+51+51−51−5−1−5−1+50000000000000000001+5−1−51−5−1+50000000000004i−4i0000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000
χ8644-4-44-44−1−5−1+5-4-44−1−5−1+51+51+51−51−5000000-44−1−5−1+51+5−1−51−5−1+51+51+51−51−5−1−5−1+50000000000000000001+5−1−51−5−1+5000000000000−4i4i00000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000
χ8744-4-44-44−1+5−1−5-4-44−1+5−1−51−51−51+51+5000000-44−1+5−1−51−5−1+51+5−1−51−51−51+51+5−1+5−1−50000000000000000001−5−1+51+5−1−50000000000004i−4i0000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000
χ8844-4-44-44−1+5−1−5-4-44−1+5−1−51−51−51+51+5000000-44−1+5−1−51−5−1+51+5−1−51−51−51+51+5−1+5−1−50000000000000000001−5−1+51+5−1−5000000000000−4i4i00000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000
χ8944-4-4-24-44422-244-4-4-4-4000000-22-2-24-44-42222-2-2000000000000000000-22-224-44-40000-2-2220000000000000000-22000000000000000000000000000000
χ9044-4-4-24-44422-244-4-4-4-4000000-22-2-24-44-42222-2-2000000000000000000-22-22-44-44000022-2-200000000000000002-2000000000000000000000000000000
χ9144-4-4-2-444422-244-4-4-4-40000002-2-2-2-44-442222-2-20000000000000000002-22-24-4-44000022-2-20000000000000000-22000000000000000000000000000000
χ9244-4-4-2-444422-244-4-4-4-40000002-2-2-2-44-442222-2-20000000000000000002-22-2-444-40000-2-22200000000000000002-2000000000000000000000000000000
χ934-44-4400444-4-4-4-44-44-4000000004400004-44-4-4-400000000000000000000000000004i−4i0000000000000000000000004i−4i00000000000000000000000000
χ944-44-4400444-4-4-4-44-44-4000000004400004-44-4-4-40000000000000000000000000000−4i4i000000000000000000000000−4i4i00000000000000000000000000
χ954-44-4-20044-222-4-44-44-400−2i32i30000-2-20000-22-22220000000000−2i32i300−2i32i30000000000004i−4i23−2323−2300000000000000000000−2i2i00000000000000000000000000
χ964-44-4-20044-222-4-44-44-400−2i32i30000-2-20000-22-22220000000000−2i32i300−2i32i3000000000000−4i4i−2323−2323000000000000000000002i−2i00000000000000000000000000
χ974-44-4-20044-222-4-44-44-4002i3−2i30000-2-20000-22-222200000000002i3−2i3002i3−2i30000000000004i−4i−2323−232300000000000000000000−2i2i00000000000000000000000000
χ984-44-4-20044-222-4-44-44-4002i3−2i30000-2-20000-22-222200000000002i3−2i3002i3−2i3000000000000−4i4i23−2323−23000000000000000000002i−2i00000000000000000000000000
χ994-4-4440044-44-4-4-4-44-4400000000440000-44-44-4-4000000000000000000000000004i−4i0000000000000000000000004i−4i0000000000000000000000000000
χ1004-4-4440044-44-4-4-4-44-4400000000440000-44-44-4-400000000000000000000000000−4i4i000000000000000000000000−4i4i0000000000000000000000000000
χ1014-4-44-200442-22-4-4-44-440000−2i32i300-2-200002-22-222000000000000−2i32i300−2i32i3000000004i−4i0023−23−2323000000000000000000−2i2i0000000000000000000000000000
χ1024-4-44-200442-22-4-4-44-440000−2i32i300-2-200002-22-222000000000000−2i32i300−2i32i300000000−4i4i00−232323−230000000000000000002i−2i0000000000000000000000000000
χ1034-4-44-200442-22-4-4-44-4400002i3−2i300-2-200002-22-2220000000000002i3−2i3002i3−2i3000000004i−4i00−232323−23000000000000000000−2i2i0000000000000000000000000000
χ1044-4-44-200442-22-4-4-44-4400002i3−2i300-2-200002-22-2220000000000002i3−2i3002i3−2i300000000−4i4i0023−23−23230000000000000000002i−2i0000000000000000000000000000
χ10588-8-8-48-8−2−25−2+2544-4−2−25−2+252+252+252−252−25000000-441+51−5−2−252+25−2+252−25−1−5−1−5−1+5−1+51+51−50000000000000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-8−2+25−2−2544-4−2+25−2−252−252−252+252+25000000-441−51+5−2+252−25−2−252+25−1+5−1+5−1−5−1−51−51+50000000000000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-88−2−25−2+2544-4−2−25−2+252+252+252−252−250000004-41+51−52+25−2−252−25−2+25−1−5−1−5−1+5−1+51+51−5000000000000000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-88−2+25−2−2544-4−2+25−2−252−252−252+252+250000004-41−51+52−25−2+252+25−2−25−1+5−1+5−1−5−1−51−51+5000000000000000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000
χ1098-88-8800−2−25−2+258-8-82+252−25−2−252+25−2+252−2500000000−2−25−2+250000−2−252+25−2+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8800−2+25−2−258-8-82−252+25−2+252−25−2−252+2500000000−2+25−2−250000−2+252−25−2−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-400−2−25−2+25-4442+252−25−2−252+25−2+252−2500−4i34i300001+51−500001+5−1−51−5−1+5−1−5−1+500000000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-400−2−25−2+25-4442+252−25−2−252+25−2+252−25004i3−4i300001+51−500001+5−1−51−5−1+5−1−5−1+50000000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ4600−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-400−2+25−2−25-4442−252+25−2+252−25−2−252+2500−4i34i300001−51+500001−5−1+51+5−1−5−1+5−1−500000000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-400−2+25−2−25-4442−252+25−2+252−25−2−252+25004i3−4i300001−51+500001−5−1+51+5−1−5−1+5−1−50000000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ5800−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88800−2−25−2+25-88-82+252−252+25−2−252−25−2+2500000000−2−25−2+2500002+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88800−2+25−2−25-88-82−252+252−25−2+252+25−2−2500000000−2+25−2−2500002−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-400−2−25−2+254-442+252−252+25−2−252−25−2+250000−4i34i3001+51−50000−1−51+5−1+51−5−1−5−1+50000000000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ580000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-400−2−25−2+254-442+252−252+25−2−252−25−2+2500004i3−4i3001+51−50000−1−51+5−1+51−5−1−5−1+5000000000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ4600−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ580000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-400−2+25−2−254-442−252+252−25−2+252+25−2−250000−4i34i3001−51+50000−1+51−5−1−51+5−1+5−1−50000000000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ460000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-400−2+25−2−254-442−252+252−25−2+252+25−2−2500004i3−4i3001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ5800−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ460000000000000000000000000000000000000000000000000000000000000000

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