Finite Group Databasebeta

← Group #14458342

Character table — Group #14458342

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222224444444444444444444444668888888888888888888888888101010101010101010101212121212121216161616161616161616202020202020202020242424242424242424242424303040404040404848606060120120
order12223445566610101010101022881212151520202020242424243030303030302226666101010104040404060606060120120120120120120120120448888121212124881010101010103030303030303030444121224242424241010101020204040404022412121212202048824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111
χ511111111111111111111-1-111111111-1-1-1-111111111-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-11111-1-1-1-11-1-111-1-1-1-11-1111111-1-1-1-111111-1-1-1-11-1-11-1
χ611111111111111111111-1-111111111-1-1-1-111111111-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111-1-11111-1-1-1-1-111-1-111111-1111111-1-1-1-1-1-1-1-1-111-1-1-111-11
χ711111111111111111111-1-111111111-1-1-1-1111111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-11-1-1-1-1-1-11111-1-1111-1-111-111-11
χ811111111111111111111-1-111111111-1-1-1-1111111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-11111-11-1-1-1-1-1-1111111-1-1-111111-1-11-1
χ9111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1111-1-1
χ10111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-111
χ11111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111
χ12111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1
χ13111111111111111111-1-1-1-111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111111-1-1-1-1111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-111111-1-1-11
χ14111111111111111111-1-1-1-111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-11111-11-1-1-1-111-1-1-1-1-1-1111-1-111-1111-1
χ15111111111111111111-1-1-1-111111111-1-1-1-1111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-111-1-1-1-1111111111-1-1-1-11-11111-1-11111-1-1-1-1-111-1-1-1111-1
χ16111111111111111111-1-1-1-111111111-1-1-1-1111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111111-11111-1-1111111111-1-1-1-11-1-1-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+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+520000000000222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000022−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+5200000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000-2-21+521+521−521−521+521−521+521+521−521−5200000001+521−5200000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+5222-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200000000002-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000002-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200000001+521−5200000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000000000-2221+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000-221+521+521−521−521+521−52−1−52−1−52−1+52−1+520000000−1−52−1+5200000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-21+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+520000000000222−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−52000000000-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200000001+521−5200000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-21+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+520000000000-2-2-21+521+521−521−521+521−521+521+521−521−521+521+521−521−5200000000022−1−52−1−52−1+52−1+521+521−521+521+521−521−520000000−1−52−1+5200000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52222-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200000000002-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000-221+521+521−521−52−1−52−1+521+521+521−521−520000000−1−52−1+5200000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000000000-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000002-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+5200000001+521−5200000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−520000000000222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000022−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−5200000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000-2-21−521−521+521+521−521+521−521−521+521+5200000001−521+5200000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200000000002-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000002-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200000001−521+5200000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000000000-2221−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000-221−521−521+521+521−521+52−1+52−1+52−1−52−1−520000000−1+52−1−5200000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−520000000000222−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+52000000000-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200000001−521+5200000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−520000000000-2-2-21−521−521+521+521−521+521−521−521+521+521−521−521+521+5200000000022−1+52−1+52−1−52−1−521−521+521−521−521+521+520000000−1+52−1−5200000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52222-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200000000002-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000-221−521−521+521+52−1+52−1−521−521−521+521+520000000−1+52−1−5200000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000000000-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000002-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−5200000001−521+5200000
χ3322222-2-2222222222220000-2-222-2-2-2-20000222222220000000000000-2-2-2-2000000002200002222-20022220000000000-200-2-20000000000-2-20000220000000-20000
χ3422222-2-2222222222220000-2-222-2-2-2-20000222222220000000000000-2-2-2-200000000-2-20000-2-2-2-2-20022220000000000200220000000000-2-20000-2-2000000020000
χ3522222-2-2222222222220000-2-222-2-2-2-20000222222-2-20000000000000-2-2-2-2000000002200002222200-2-2-2-20000000000-200-2-20000000000220000-2-2000000020000
χ3622222-2-2222222222220000-2-222-2-2-2-20000222222-2-20000000000000-2-2-2-200000000-2-20000-2-2-2-2200-2-2-2-20000000000200220000000000220000220000000-20000
χ372222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1002-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000022-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000002-1-1-1-10000000
χ382222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1002-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000022-1-1-1-1-1-1-1-1-2-2-211111100000000000000-211110000000
χ392222-12222-1-1-122222222-2-2-1-1-1-122221111-1-1-1-1-1-100-2-1-1112222-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-10000000-2-2-1-1-1-111112-2-2-1-11111000000000000002-1-1110000000
χ402222-12222-1-1-122222222-2-2-1-1-1-122221111-1-1-1-1-1-100-2-1-1112222-2-2-2-2-1-1-1-111111111-2-2222211110000000-2-2-1-1-1-11111-22211-1-1-1-100000000000000-211-1-10000000
χ412222-12222-1-1-1222222-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-21111-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000000-2-2111111112-2-2-1-1-1-1-1-100000000000000-211110000000
χ422222-12222-1-1-1222222-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-21111-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211110000000-2-211111111-222111111000000000000002-1-1-1-10000000
χ432222-12222-1-1-1222222-2-2-2-2-1-1-1-122221111-1-1-1-1-1-100211-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-10000000221111-1-1-1-1222-1-1111100000000000000-211-1-10000000
χ442222-12222-1-1-1222222-2-2-2-2-1-1-1-122221111-1-1-1-1-1-100211-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-2-2222211110000000221111-1-1-1-1-2-2-211-1-1-1-1000000000000002-1-1110000000
χ452-22-222-2222-2-2-2-222-2-22-2002-22222-2-20000-2-2-2-2220002-2002-22-20000-2-22200000000002i2i−2i−2i00000000000002-22-2000002i−2i002i2i−2i−2i000000000000000002i−2i0000000
χ462-22-222-2222-2-2-2-222-2-22-2002-22222-2-20000-2-2-2-2220002-2002-22-20000-2-2220000000000−2i−2i2i2i00000000000002-22-200000−2i2i00−2i−2i2i2i00000000000000000−2i2i0000000
χ472-22-222-2222-2-2-2-222-2-2-22002-22222-2-20000-2-2-2-222000-2200-22-220000-2-22200000000002i2i−2i−2i0000000000000-22-2200000−2i2i002i2i−2i−2i00000000000000000−2i2i0000000
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χ1044-4-44400−1−5−1+5-4-441+51−51+51−5−1−5−1+50022−2200−1−5−1+5000022−2222−22−1−51+5−1+51−51+51−54-4000000000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ1190000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ1190000000000022−22−1−51+5−1+51−5000000000000000000000000000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900000000000000
χ1054-4-44400−1−5−1+5-4-441+51−51+51−5−1−5−1+50022−2200−1−5−1+5000022−2222−22−1−51+5−1+51−51+51−5-44000000000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ1190000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900000000000−22221+5−1−51−5−1+5000000000000000000000000000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900000000000000
χ1064-4-44400−1−5−1+5-4-441+51−51+51−5−1−5−1+500−222200−1−5−1+50000−2222−2222−1−51+5−1+51−51+51−54-4000000000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ1190000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900000000000−2222−1−51+5−1+51−5000000000000000000000000000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900000000000000
χ1074-4-44400−1−5−1+5-4-441+51−51+51−5−1−5−1+500−222200−1−5−1+50000−2222−2222−1−51+5−1+51−51+51−5-44000000000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ1190000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ1190000000000022−221+5−1−51−5−1+5000000000000000000000000000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900000000000000
χ1084-4-44400−1+5−1−5-4-441−51+51−51+5−1+5−1−50022−2200−1+5−1−5000022−2222−22−1+51−5−1−51+51−51+54-4000000000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ1030000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ1030000000000022−22−1+51−5−1−51+5000000000000000000000000000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300000000000000
χ1094-4-44400−1+5−1−5-4-441−51+51−51+5−1+5−1−50022−2200−1+5−1−5000022−2222−22−1+51−5−1−51+51−51+5-44000000000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ1030000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300000000000−22221−5−1+51+5−1−5000000000000000000000000000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300000000000000
χ1104-4-44400−1+5−1−5-4-441−51+51−51+5−1+5−1−500−222200−1+5−1−50000−2222−2222−1+51−5−1−51+51−51+54-4000000000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ1030000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300000000000−2222−1+51−5−1−51+5000000000000000000000000000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300000000000000
χ1114-4-44400−1+5−1−5-4-441−51+51−51+5−1+5−1−500−222200−1+5−1−50000−2222−2222−1+51−5−1−51+51−51+5-44000000000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ1030000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ1030000000000022−221−5−1+51+5−1−5000000000000000000000000000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300000000000000
χ1124-4-44-2004422-2-4-4-4-4440022−2200-2-20000−22−22-22-22220000000000022−2222−220000−22−22−22−224-422−2222−22-22-220000000000000000000000−22−2200000000000000000000000000
χ1134-4-44-2004422-2-4-4-4-4440022−2200-2-20000−22−22-22-22220000000000022−2222−220000−22−22−22−22-44−2222−22222-22-200000000000000000000002−22−200000000000000000000000000
χ1144-4-44-2004422-2-4-4-4-44400−222200-2-200002−22−2-22-222200000000000−2222−222200002−22−22−22−24-4−2222−2222-22-2200000000000000000000002−22−200000000000000000000000000
χ1154-4-44-2004422-2-4-4-4-44400−222200-2-200002−22−2-22-222200000000000−2222−222200002−22−22−22−2-4422−2222−222-22-20000000000000000000000−22−2200000000000000000000000000
χ1168888-4-8-8−2−25−2+25-4-4-4−2−25−2+25−2−25−2+25−2−25−2+250000441+51−52+252−252+252−2500001+51+51−51−51+51−5000000000000000−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000
χ1178888-4-8-8−2+25−2−25-4-4-4−2+25−2−25−2+25−2−25−2+25−2−250000441−51+52−252+252−252+2500001−51−51+51+51−51+5000000000000000−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8800−2−25−2+25-88-8−2−25−2+252+252−252+252−25000000−2−25−2+25000000002+25−2−252−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8800−2+25−2−25-88-8−2+25−2−252−252+252−252+25000000−2+25−2−25000000002−25−2+252+25−2−252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-400−2−25−2+254-44−2−25−2+252+252−252+252−250000001+51−50000−2i62i62i6−2i6−1−51+5−1+51−5−1−5−1+50000000000000000000−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ11900000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-400−2−25−2+254-44−2−25−2+252+252−252+252−250000001+51−500002i6−2i6−2i62i6−1−51+5−1+51−5−1−5−1+50000000000000000000ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ11900000000000000000000000000000000000000000000000000000000000000
χ12288-8-8-400−2+25−2−254-44−2+25−2−252−252+252−252+250000001−51+50000−2i62i62i6−2i6−1+51−5−1−51+5−1+5−1−50000000000000000000−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ10300000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-400−2+25−2−254-44−2+25−2−252−252+252−252+250000001−51+500002i6−2i6−2i62i6−1+51−5−1−51+5−1+5−1−50000000000000000000ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ10300000000000000000000000000000000000000000000000000000000000000
χ1248-88-8-4-88−2−25−2+25-4442+252−25−2−25−2+252+252−2500004-41+51−52+252−25−2−25−2+250000−1−5−1−5−1+5−1+51+51−50000000000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-4-88−2+25−2−25-4442−252+25−2+25−2−252−252+2500004-41−51+52−252+25−2+25−2−250000−1+5−1+5−1−5−1−51−51+50000000000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-400−2−25−2+2544-42+252−252+252−25−2−25−2+250042−42001+51−50000−2222−22221+5−1−51−5−1+5−1−5−1+500000000000−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1032ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ1032ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ119−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1190000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900000000000000000000000000000000000000000000000000000000000000
χ1278-8-88-400−2−25−2+2544-42+252−252+252−25−2−25−2+2500−4242001+51−5000022−2222−221+5−1−51−5−1+5−1−5−1+5000000000002ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ103−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1192ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ1190000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-400−2+25−2−2544-42−252+252−252+25−2+25−2−250042−42001−51+50000−2222−22221−5−1+51+5−1−5−1+5−1−5000000000002ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ119−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ119−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1032ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ1030000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-400−2+25−2−2544-42−252+252−252+25−2+25−2−2500−4242001−51+5000022−2222−221−5−1+51+5−1−5−1+5−1−500000000000−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1192ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ1192ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1030000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.