Finite Group Databasebeta

← Group #13089423

Character table — Group #13089423

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222222224444444444444444444444444444448888888888888888888888888881818181818181818303030303030303030303030363636363636606060606060
order12334445566101036121212121212151515151515151520202020202030303030303030301212126060606060606060606060606060606060606060606060602224202020202222224412121212101010101010666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-11-111-1-1-1-1-1-1-1-1111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-1-1-1-1-1-1-1-1111
χ511111-1-11111111111-1-1-1-11111111111-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-1-1-11-1-1111111-1-111-11-1-1
χ611111-1-11111111111-1-1-1-11111111111-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1111-111-1-11111-1-1-1-11-111
χ711111-1-11111111111-1-1-1-11111111111-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111-1-11111111111-1-1-1-11111111111-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-111-1-111-1-1
χ91111-11-111111111-1-111-1-111111111-1-111-1-111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11-11-11-1-11-1-11111-1-1111-11-11-1
χ101111-11-111111111-1-111-1-111111111-1-111-1-111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11-11-111-111-1-111-1-111-11-11-11
χ111111-11-111111111-1-111-1-111111111-1-111-1-111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111-111-11-1-1-1-1-1-1-1-111-1-11-111-11
χ121111-11-111111111-1-111-1-111111111-1-111-1-111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111-11-1-11-1111111-1-111-1-1-11-1-11-1
χ131111-1-1111111111-1-1-1-11111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1-1-11-1-1-1-11
χ141111-1-1111111111-1-1-1-11111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-11111-1-1-1-1-1-1-111-1-1-1-1-11111-1
χ151111-1-1111111111-1-1-1-11111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11-1-111-11-111-1-1-1-111111-1-111-1
χ161111-1-1111111111-1-1-1-11111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-111-1-11-11-1-111-1-11111-111-1-11
χ172222222−1−52−1+5222−1−52−1+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+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52000000
χ182222222−1−52−1+5222−1−52−1+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+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−520000000000001+521−521+521−521+521−52000000
χ192222222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52000000
χ202222222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+520000000000001−521+521−521+521−521+52000000
χ2122222-2-2−1−52−1+5222−1−52−1+522222-2-2-2-2−1−52−1−52−1−52−1−52−1+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+522-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-21+521+521−521−52000000000000−1−52−1+52−1−52−1+521+521−52000000
χ2222222-2-2−1−52−1+5222−1−52−1+522222-2-2-2-2−1−52−1−52−1−52−1−52−1+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+522-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-222−1−52−1−52−1+52−1+520000000000001+521−521+521−52−1−52−1+52000000
χ2322222-2-2−1+52−1−5222−1+52−1−522222-2-2-2-2−1+52−1+52−1+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+52−1−52−1−52−1−52−1−522-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-21−521−521+521+52000000000000−1+52−1−52−1+52−1−521−521+52000000
χ2422222-2-2−1+52−1−5222−1+52−1−522222-2-2-2-2−1+52−1+52−1+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+52−1−52−1−52−1−52−1−522-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-222−1+52−1+52−1−52−1−520000000000001−521+521−521+52−1+52−1−52000000
χ252222-22-2−1−52−1+5222−1−52−1+5222-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-21+521+521−521−52000000000000−1−52−1+521+521−52−1−52−1+52000000
χ262222-22-2−1−52−1+5222−1−52−1+5222-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-22−1−52−1−52−1+52−1+520000000000001+521−52−1−52−1+521+521−52000000
χ272222-22-2−1+52−1−5222−1+52−1−5222-2-222-2-2−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52-22-21−521−521−521−521+521+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+522-22-21−521−521+521+52000000000000−1+52−1−521−521+52−1+52−1−52000000
χ282222-22-2−1+52−1−5222−1+52−1−5222-2-222-2-2−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52-22-21−521−521−521−521+521+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+52-22-22−1+52−1+52−1−52−1−520000000000001−521+52−1+52−1−521−521+52000000
χ292222-2-22−1−52−1+5222−1−52−1+5222-2-2-2-222−1−52−1−52−1−52−1−52−1+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+52-2-221+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+522-2-22−1−52−1−52−1+52−1+52000000000000−1−52−1+521+521−521+521−52000000
χ302222-2-22−1−52−1+5222−1−52−1+5222-2-2-2-222−1−52−1−52−1−52−1−52−1+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+52-2-221+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+52-222-21+521+521−521−520000000000001+521−52−1−52−1+52−1−52−1+52000000
χ312222-2-22−1+52−1−5222−1+52−1−5222-2-2-2-222−1+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+52−1−52−1−52−1−52−1−52-2-221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−52000000000000−1+52−1−521−521+521−521+52000000
χ322222-2-22−1+52−1−5222−1+52−1−5222-2-2-2-222−1+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+52−1−52−1−52−1−52−1−52-2-221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521−521+521+520000000000001−521+52−1+52−1−52−1+52−1−52000000
χ33222-1222222-122-1-12-12-12-12-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000002220200-1-1000000000-1-1-1
χ34222-1222222-122-1-12-12-12-12-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000-2-2-20-20011000000000111
χ35222-12-2-2222-122-1-12-1-21-212-1-1-12-1-1-122-2-2-2-22-1-1-12-1-1-1-1112-1-1-12-1-1-1-2111-2111-2111-2111000000000002-2-20200-1-1000000000-111
χ36222-12-2-2222-122-1-12-1-21-212-1-1-12-1-1-122-2-2-2-22-1-1-12-1-1-1-1112-1-1-12-1-1-1-2111-2111-2111-211100000000000-2220-200110000000001-1-1
χ37222-1-22-2222-122-1-1-212-1-212-1-1-12-1-1-1-2-222-2-22-1-1-12-1-1-11-11-2111-21112-1-1-12-1-1-1-2111-2111000000000002-220-20011000000000-11-1
χ38222-1-22-2222-122-1-1-212-1-212-1-1-12-1-1-1-2-222-2-22-1-1-12-1-1-11-11-2111-21112-1-1-12-1-1-1-2111-211100000000000-22-20200-1-10000000001-11
χ39222-1-2-22222-122-1-1-21-212-12-1-1-12-1-1-1-2-2-2-2222-1-1-12-1-1-111-1-2111-2111-2111-21112-1-1-12-1-1-10000000000022-20-20011000000000-1-11
χ40222-1-2-22222-122-1-1-21-212-12-1-1-12-1-1-1-2-2-2-2222-1-1-12-1-1-111-1-2111-2111-2111-21112-1-1-12-1-1-100000000000-2-220200-1-100000000011-1
χ4122-1222222-1222-1-1-12-12-12-12-1-1-12-1-1222222-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-10000000022200020-1-100000000-1-1-1000
χ4222-1222222-1222-1-1-12-12-12-12-1-1-12-1-1222222-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000-2-2-2000-201100000000111000
χ4322-122-2-222-1222-1-1-121-21-2-12-1-1-12-1-122-2-2-2-2-12-1-1-12-1-1-111-12-1-1-12-1-11-2111-2111-2111-2110000000022-2000-201100000000-1-11000
χ4422-122-2-222-1222-1-1-121-21-2-12-1-1-12-1-122-2-2-2-2-12-1-1-12-1-1-111-12-1-1-12-1-11-2111-2111-2111-21100000000-2-2200020-1-10000000011-1000
χ4522-12-22-222-1222-1-11-2-121-2-12-1-1-12-1-1-2-222-2-2-12-1-1-12-1-11-111-2111-211-12-1-1-12-1-11-2111-211000000002-22000-201100000000-11-1000
χ4622-12-22-222-1222-1-11-2-121-2-12-1-1-12-1-1-2-222-2-2-12-1-1-12-1-11-111-2111-211-12-1-1-12-1-11-2111-21100000000-22-200020-1-1000000001-11000
χ4722-12-2-2222-1222-1-11-21-2-12-12-1-1-12-1-1-2-2-2-222-12-1-1-12-1-111-11-2111-2111-2111-211-12-1-1-12-1-1000000002-2-200020-1-100000000-111000
χ4822-12-2-2222-1222-1-11-21-2-12-12-1-1-12-1-1-2-2-2-222-12-1-1-12-1-111-11-2111-2111-2111-211-12-1-1-12-1-100000000-222000-2011000000001-1-1000
χ49444-2444−1−5−1+54-2−1−5−1+5-2-24-24-24-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−5−1+5−1−5−1+5−1−51+521+521+52−1+51−521−521−52-2-2-2−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−5200000000000000000000000000000000
χ50444-2444−1+5−1−54-2−1+5−1−5-2-24-24-24-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+5−1−5−1+5−1−5−1+51−521−521−52−1−51+521+521+52-2-2-2−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+5200000000000000000000000000000000
χ51444-24-4-4−1−5−1+54-2−1−5−1+5-2-24-2-42-42−1−51+521+521+52−1+51−521−521−52−1−5−1+51+51−51+51−5−1−51+521+521+52−1+51−521−521−52-222−1−51+521+521+52−1+51−521−521−521+5−1−52−1−52−1−521−5−1+52−1+52−1+521+5−1−52−1−52−1−521−5−1+52−1+52−1+5200000000000000000000000000000000
χ52444-24-4-4−1+5−1−54-2−1+5−1−5-2-24-2-42-42−1+51−521−521−52−1−51+521+521+52−1+5−1−51−51+51−51+5−1+51−521−521−52−1−51+521+521+52-222−1+51−521−521−52−1−51+521+521+521−5−1+52−1+52−1+521+5−1−52−1−52−1−521−5−1+52−1+52−1+521+5−1−52−1−52−1−5200000000000000000000000000000000
χ53444-2-44-4−1−5−1+54-2−1−5−1+5-2-2-424-2-42−1−51+521+521+52−1+51−521−521−521+51−5−1−5−1+51+51−5−1−51+521+521+52−1+51−521−521−522-221+5−1−52−1−52−1−521−5−1+52−1+52−1+52−1−51+521+521+52−1+51−521−521−521+5−1−52−1−52−1−521−5−1+52−1+52−1+5200000000000000000000000000000000
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χ55444-2-4-44−1−5−1+54-2−1−5−1+5-2-2-42-424-2−1−51+521+521+52−1+51−521−521−521+51−51+51−5−1−5−1+5−1−51+521+521+52−1+51−521−521−5222-21+5−1−52−1−52−1−521−5−1+52−1+52−1+521+5−1−52−1−52−1−521−5−1+52−1+52−1+52−1−51+521+521+52−1+51−521−521−5200000000000000000000000000000000
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χ8244-2-2-4-44−1−5−1+5-2-2−1−5−1+5112222-2-21+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+51−51+51−5−1−5−1+51+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58-1-11−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ5800000000000000000000000000000000
χ8344-2-2-4-44−1+5−1−5-2-2−1+5−1−5112222-2-21−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−51+51−51+5−1+5−1−51−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46-1-11−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ4600000000000000000000000000000000
χ8444-2-2-4-44−1+5−1−5-2-2−1+5−1−5112222-2-21−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−51+51−51+5−1+5−1−51−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46-1-11−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ4600000000000000000000000000000000
χ854-44400044-4-4-4-44-400000044444444000000-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000
χ864-444000−1−5−1+5-4-41+51−54-4000000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+50000001+51+51+51+51−51−51−51−50000000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000000000000000000000
χ874-444000−1−5−1+5-4-41+51−54-4000000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+50000001+51+51+51+51−51−51−51−500000000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000000000000000000000
χ884-444000−1+5−1−5-4-41−51+54-4000000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−50000001−51−51−51−51+51+51+51+500000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000000000000000000
χ894-444000−1+5−1−5-4-41−51+54-4000000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−50000001−51−51−51−51+51+51+51+50000000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000000000000000000000
χ904-44-200044-42-4-4-220000004-2-2-24-2-2-2000000-4222-422200000000000000000000000000000000000000000000023−23000000000000
χ914-44-200044-42-4-4-220000004-2-2-24-2-2-2000000-4222-4222000000000000000000000000000000000000000000000−2323000000000000
χ924-4-24000442-4-4-4-22000000-24-2-2-24-2-20000002-4222-422000000000000000000000000000000000000000000023−2300000000000000
χ934-4-24000442-4-4-4-22000000-24-2-2-24-2-20000002-4222-4220000000000000000000000000000000000000000000−232300000000000000
χ948-88-4000−2−25−2+25-842+252−25-44000000−2−251+51+51+5−2+251−51−51−50000002+25−1−5−1−5−1−52−25−1+5−1+5−1+500000000000000000000000000000000000000000000000000000000000
χ958-88-4000−2+25−2−25-842−252+25-44000000−2+251−51−51−5−2−251+51+51+50000002−25−1+5−1+5−1+52+25−1−5−1−5−1−500000000000000000000000000000000000000000000000000000000000
χ968-8-48000−2−25−2+254-82+252−25-440000001+5−2−251+51+51−5−2+251−51−5000000−1−52+25−1−5−1−5−1+52−25−1+5−1+500000000000000000000000000000000000000000000000000000000000
χ978-8-48000−2+25−2−254-82−252+25-440000001−5−2+251−51−51+5−2−251+51+5000000−1+52−25−1+5−1+5−1−52+25−1−5−1−500000000000000000000000000000000000000000000000000000000000
χ988-8-4-40008844-8-82-2000000-4-422-4-42200000044-2-244-2-200000000000000000000000000000000000000000000000000000000000
χ998-8-4-4000−2−25−2+25442+252−252-20000001+51+5−2ζ14+4ζ26−2ζ34+4ζ464ζ14−2ζ26+4ζ34−2ζ461−51−54ζ2+4ζ22−2ζ38−2ζ58−2ζ2−2ζ22+4ζ38+4ζ58000000−1−5−1−52ζ14−4ζ26+2ζ34−4ζ46−4ζ14+2ζ26−4ζ34+2ζ46−1+5−1+5−4ζ2−4ζ22+2ζ38+2ζ582ζ2+2ζ22−4ζ38−4ζ5800000000000000000000000000000000000000000000000000000000000
χ1008-8-4-4000−2−25−2+25442+252−252-20000001+51+54ζ14−2ζ26+4ζ34−2ζ46−2ζ14+4ζ26−2ζ34+4ζ461−51−5−2ζ2−2ζ22+4ζ38+4ζ584ζ2+4ζ22−2ζ38−2ζ58000000−1−5−1−5−4ζ14+2ζ26−4ζ34+2ζ462ζ14−4ζ26+2ζ34−4ζ46−1+5−1+52ζ2+2ζ22−4ζ38−4ζ58−4ζ2−4ζ22+2ζ38+2ζ5800000000000000000000000000000000000000000000000000000000000
χ1018-8-4-4000−2+25−2−25442−252+252-20000001−51−54ζ2+4ζ22−2ζ38−2ζ58−2ζ2−2ζ22+4ζ38+4ζ581+51+54ζ14−2ζ26+4ζ34−2ζ46−2ζ14+4ζ26−2ζ34+4ζ46000000−1+5−1+5−4ζ2−4ζ22+2ζ38+2ζ582ζ2+2ζ22−4ζ38−4ζ58−1−5−1−5−4ζ14+2ζ26−4ζ34+2ζ462ζ14−4ζ26+2ζ34−4ζ4600000000000000000000000000000000000000000000000000000000000
χ1028-8-4-4000−2+25−2−25442−252+252-20000001−51−5−2ζ2−2ζ22+4ζ38+4ζ584ζ2+4ζ22−2ζ38−2ζ581+51+5−2ζ14+4ζ26−2ζ34+4ζ464ζ14−2ζ26+4ζ34−2ζ46000000−1+5−1+52ζ2+2ζ22−4ζ38−4ζ58−4ζ2−4ζ22+2ζ38+2ζ58−1−5−1−52ζ14−4ζ26+2ζ34−4ζ46−4ζ14+2ζ26−4ζ34+2ζ4600000000000000000000000000000000000000000000000000000000000

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