Finite Group Databasebeta

← Group #13085747

Character table — Group #13085747

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size112222222222222444444444444444444446666666666666666666688888888899121212121212121212121212121212121212121218181818181818181820404040406060120120180
order12334556610102020202036121215151515303030306060606060606060888840404040404040404040404040404040121515303060606060442424242412012012012012012012012012012012012012012012012021010101020202020412121212246122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1
χ41111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111
χ511111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-11-11-1
χ611111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11
χ711111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11
χ811111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1
χ922222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ1022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+521−521−521+521+520000000000
χ1122222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+520000000000
χ1222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ1322222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ1422222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−521+521+521−521−520000000000
χ1522222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−520000000000
χ1622222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ172222-2222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-200000000000000000000-22222-2-2-2-22200000000000000000000-2-2-2-2-222220000000000
χ182222-2222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-200000000000000000000-22222-2-2-2-2-2-20000000000000000000022222-2-2-2-20000000000
χ192222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14-2−1+52−1−52−1+52−1−521−521−521+521+52220000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14-21−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ202222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14-2−1+52−1−52−1+52−1−521−521−521+521+52-2-20000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ142−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ212222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14-2−1+52−1−52−1+52−1−521−521−521+521+52-2-20000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ142−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ222222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14-2−1+52−1−52−1+52−1−521−521−521+521+52220000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14-21−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ232222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38-2−1−52−1+52−1−52−1+521+521+521−521−52220000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38-21+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ242222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38-2−1−52−1+52−1−52−1+521+521+521−521−52-2-20000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ382−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ252222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38-2−1−52−1+52−1−52−1+521+521+521−521−52-2-20000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ382−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ262222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38-2−1−52−1+52−1−52−1+521+521+521−521−52220000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38-21+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ27222-1222-12222222-1-1-122-12-12-12-122-1-122-1-122002222222200000000-1-1-1-1-1-1-1-1-100-1-100-1-1-1-1-1-1-1-1000000000000000002-12-1-120-100
χ28222-1222-12222222-1-1-122-12-12-12-122-1-122-1-122002222222200000000-1-1-1-1-1-1-1-1-100-1-100-1-1-1-1-1-1-1-100000000000000000-21-211-20100
χ29222-1222-12222222-1-1-122-12-12-12-122-1-122-1-1-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-100110011111111000000000000000002-12-1-1-20100
χ30222-1222-12222222-1-1-122-12-12-12-122-1-122-1-1-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-10011001111111100000000000000000-21-21120-100
χ3122-122222-1222222-1-12-1-12-12-12-12-1-122-1-12200220000000022222222-1-1-1-1-1-1-1-1-10000-1-100000000-1-1-1-1-1-1-1-100000000022-1-1-1020-10
χ3222-122222-1222222-1-12-1-12-12-12-12-1-122-1-12200220000000022222222-1-1-1-1-1-1-1-1-10000-1-100000000-1-1-1-1-1-1-1-1000000000-2-21110-2010
χ3322-122222-1222222-1-12-1-12-12-12-12-1-122-1-12200-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1000011000000001111111100000000022-1-1-10-2010
χ3422-122222-1222222-1-12-1-12-12-12-12-1-122-1-12200-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-10000110000000011111111000000000-2-2111020-10
χ352-222022-2-2-2-200002-2002222-2-2-2-200000000i2−i22−2i2−i2i2−i2i2−i2i2−i22−22−22−22−2022-2-200002i−2ii2−i22−2i2−i2i2−i2i2−i2i2−i22−22−22−22−2000002i−2i2i−2i0000000000
χ362-222022-2-2-2-200002-2002222-2-2-2-200000000i2−i2−22i2−i2i2−i2i2−i2i2−i2−22−22−22−22022-2-20000−2i2ii2−i2−22i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000−2i2i−2i2i0000000000
χ372-222022-2-2-2-200002-2002222-2-2-2-200000000−i2i22−2−i2i2−i2i2−i2i2−i2i22−22−22−22−2022-2-20000−2i2i−i2i22−2−i2i2−i2i2−i2i2−i2i22−22−22−22−200000−2i2i−2i2i0000000000
χ382-222022-2-2-2-200002-2002222-2-2-2-200000000−i2i2−22−i2i2−i2i2−i2i2−i2i2−22−22−22−22022-2-200002i−2i−i2i2−22−i2i2−i2i2−i2i2−i2i2−22−22−22−22000002i−2i2i−2i0000000000
χ392-2220−1+52−1−52-2-21−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ142-200−1+52−1+52−1−52−1−521−521−521+521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14i2−i22−2ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ390−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ142i−2ii2−i22−2ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ390ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000
χ402-2220−1+52−1−52-2-21−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ142-200−1+52−1+52−1−52−1−521−521−521+521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14i2−i2−22ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ390−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−2i2ii2−i2−22ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ390−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000000
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χ784-44-20442-4-4-40000-22004-24-2-42-4200000000−2i22i200−2i22i2−2i22i2−2i22i2−2i22i2000000000-2-222000000i2−i200i2−i2i2−i2i2−i2i2−i2000000000000000000000000000
χ794-44-20−1+5−1−52-41−51+5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14-2200−1+51−52−1−51+521−5−1+521+5−1−52−2ζ22+2ζ382ζ22−2ζ38ζ22−ζ38−ζ22+ζ382ζ6−2ζ14−2ζ6+2ζ14−ζ6+ζ14ζ6−ζ142i2−2i2002ζ7+2ζ13−2ζ7−2ζ132ζ23+2ζ37−2ζ23−2ζ372ζ21+2ζ39−2ζ21−2ζ392ζ29+2ζ31−2ζ29−2ζ310000000001−521+52−1+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400−i2i200−ζ7−ζ13ζ7+ζ13−ζ23−ζ37ζ23+ζ37−ζ21−ζ39ζ21+ζ39−ζ29−ζ31ζ29+ζ31000000000000000000000000000
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χ814-44-20−1+5−1−52-41−51+52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14-2200−1+51−52−1−51+521−5−1+521+5−1−522ζ22−2ζ38−2ζ22+2ζ38−ζ22+ζ38ζ22−ζ38−2ζ6+2ζ142ζ6−2ζ14ζ6−ζ14−ζ6+ζ142i2−2i2002ζ23+2ζ37−2ζ23−2ζ372ζ7+2ζ13−2ζ7−2ζ132ζ29+2ζ31−2ζ29−2ζ312ζ21+2ζ39−2ζ21−2ζ390000000001−521+52−1+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400−i2i200−ζ23−ζ37ζ23+ζ37−ζ7−ζ13ζ7+ζ13−ζ29−ζ31ζ29+ζ31−ζ21−ζ39ζ21+ζ39000000000000000000000000000
χ824-44-20−1+5−1−52-41−51+52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14-2200−1+51−52−1−51+521−5−1+521+5−1−522ζ22−2ζ38−2ζ22+2ζ38−ζ22+ζ38ζ22−ζ38−2ζ6+2ζ142ζ6−2ζ14ζ6−ζ14−ζ6+ζ14−2i22i200−2ζ23−2ζ372ζ23+2ζ37−2ζ7−2ζ132ζ7+2ζ13−2ζ29−2ζ312ζ29+2ζ31−2ζ21−2ζ392ζ21+2ζ390000000001−521+52−1+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400i2−i200ζ23+ζ37−ζ23−ζ37ζ7+ζ13−ζ7−ζ13ζ29+ζ31−ζ29−ζ31ζ21+ζ39−ζ21−ζ39000000000000000000000000000
χ834-44-20−1−5−1+52-41+51−52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38-2200−1−51+52−1+51−521+5−1−521−5−1+522ζ6−2ζ14−2ζ6+2ζ14−ζ6+ζ14ζ6−ζ142ζ22−2ζ38−2ζ22+2ζ38−ζ22+ζ38ζ22−ζ382i2−2i2002ζ21+2ζ39−2ζ21−2ζ392ζ29+2ζ31−2ζ29−2ζ312ζ23+2ζ37−2ζ23−2ζ372ζ7+2ζ13−2ζ7−2ζ130000000001+521−52−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800−i2i200−ζ21−ζ39ζ21+ζ39−ζ29−ζ31ζ29+ζ31−ζ23−ζ37ζ23+ζ37−ζ7−ζ13ζ7+ζ13000000000000000000000000000
χ844-44-20−1−5−1+52-41+51−52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38-2200−1−51+52−1+51−521+5−1−521−5−1+522ζ6−2ζ14−2ζ6+2ζ14−ζ6+ζ14ζ6−ζ142ζ22−2ζ38−2ζ22+2ζ38−ζ22+ζ38ζ22−ζ38−2i22i200−2ζ21−2ζ392ζ21+2ζ39−2ζ29−2ζ312ζ29+2ζ31−2ζ23−2ζ372ζ23+2ζ37−2ζ7−2ζ132ζ7+2ζ130000000001+521−52−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800i2−i200ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31ζ23+ζ37−ζ23−ζ37ζ7+ζ13−ζ7−ζ13000000000000000000000000000
χ854-44-20−1−5−1+52-41+51−5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38-2200−1−51+52−1+51−521+5−1−521−5−1+52−2ζ6+2ζ142ζ6−2ζ14ζ6−ζ14−ζ6+ζ14−2ζ22+2ζ382ζ22−2ζ38ζ22−ζ38−ζ22+ζ382i2−2i2002ζ29+2ζ31−2ζ29−2ζ312ζ21+2ζ39−2ζ21−2ζ392ζ7+2ζ13−2ζ7−2ζ132ζ23+2ζ37−2ζ23−2ζ370000000001+521−52−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800−i2i200−ζ29−ζ31ζ29+ζ31−ζ21−ζ39ζ21+ζ39−ζ7−ζ13ζ7+ζ13−ζ23−ζ37ζ23+ζ37000000000000000000000000000
χ864-44-20−1−5−1+52-41+51−5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38-2200−1−51+52−1+51−521+5−1−521−5−1+52−2ζ6+2ζ142ζ6−2ζ14ζ6−ζ14−ζ6+ζ14−2ζ22+2ζ382ζ22−2ζ38ζ22−ζ38−ζ22+ζ38−2i22i200−2ζ29−2ζ312ζ29+2ζ31−2ζ21−2ζ392ζ21+2ζ39−2ζ7−2ζ132ζ7+2ζ13−2ζ23−2ζ372ζ23+2ζ370000000001+521−52−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800i2−i200ζ29+ζ31−ζ29−ζ31ζ21+ζ39−ζ21−ζ39ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37000000000000000000000000000
χ874-4-24044-42-4-40000-2200-24-242-42-4000000000022−220000000022−2222−2222−2222−220-2-22200000000−2200000000−22−22−22−220000000000000000000
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χ894-4-240−1+5−1−5-421−51+5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14-22001−52−1+51+52−1−5−1+521−5−1−521+5ζ22−ζ38−ζ22+ζ38−2ζ22+2ζ382ζ22−2ζ38−ζ6+ζ14ζ6−ζ142ζ6−2ζ14−2ζ6+2ζ140022−2200000000−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ132ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ3901−521+52−1+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000−2200000000ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ390000000000000000000
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χ924-4-240−1+5−1−5-421−51+52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14-22001−52−1+51+52−1−5−1+521−5−1−521+5−ζ22+ζ38ζ22−ζ382ζ22−2ζ38−2ζ22+2ζ38ζ6−ζ14−ζ6+ζ14−2ζ6+2ζ142ζ6−2ζ1400−2222000000002ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ37−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ3101−521+52−1+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400002−200000000−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ310000000000000000000
χ934-4-240−1−5−1+5-421+51−52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38-22001+52−1−51−52−1+5−1−521+5−1+521−5−ζ6+ζ14ζ6−ζ142ζ6−2ζ14−2ζ6+2ζ14−ζ22+ζ38ζ22−ζ382ζ22−2ζ38−2ζ22+2ζ380022−22000000002ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ39−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ3701+521−52−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000−2200000000−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ370000000000000000000
χ944-4-240−1−5−1+5-421+51−52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38-22001+52−1−51−52−1+5−1−521+5−1+521−5−ζ6+ζ14ζ6−ζ142ζ6−2ζ14−2ζ6+2ζ14−ζ22+ζ38ζ22−ζ382ζ22−2ζ38−2ζ22+2ζ3800−222200000000−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ392ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ3701+521−52−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800002−200000000ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ370000000000000000000
χ954-4-240−1−5−1+5-421+51−5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38-22001+52−1−51−52−1+5−1−521+5−1+521−5ζ6−ζ14−ζ6+ζ14−2ζ6+2ζ142ζ6−2ζ14ζ22−ζ38−ζ22+ζ38−2ζ22+2ζ382ζ22−2ζ380022−22000000002ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ31−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ1301+521−52−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000−2200000000−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ130000000000000000000
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χ9788-4-48−2+25−2−25-4-4−2+25−2−25−2+25−2+25−2−25−2−2522-4-41−51−51+51+51−51−51+51+51−51−51−51−51+51+51+51+5000000000000000000002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000
χ9888-4-48−2−25−2+25-4-4−2−25−2+25−2−25−2−25−2+25−2+2522-4-41+51+51−51−51+51+51−51−51+51+51+51+51−51−51−51−5000000000000000000002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000
χ9988-4-4-8−2+25−2−25-4-4−2+25−2−252−252−252+252+2522441−51−51+51+51−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−500000000000000000000-2−1+52−1−52−1+52−1−521−521−521+521+5200000000000000000000000000000000000000000
χ10088-4-4-8−2−25−2+25-4-4−2−25−2+252+252+252−252−2522441+51+51−51−51+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+500000000000000000000-2−1−52−1+52−1−52−1+521+521+521−521−5200000000000000000000000000000000000000000
χ1018-8-4-408844-8-800002-200-4-4-4-444440000000000000000000000000000022-2-2000000000000000000000000000000000000000000000
χ1028-8-4-40−2+25−2−25442−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ142-2001−51−51+51+5−1+5−1+5−1−5−1−52ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000000000000000000000000000
χ1038-8-4-40−2+25−2−25442−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ142-2001−51−51+51+5−1+5−1+5−1−5−1−5−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000000000000000000000000000
χ1048-8-4-40−2−25−2+25442+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ382-2001+51+51−51−5−1−5−1−5−1+5−1+5−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38000000000000000000000−1−52−1+521+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000000000000000000000000000
χ1058-8-4-40−2−25−2+25442+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ382-2001+51+51−51−5−1−5−1−5−1+5−1+52ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000000000−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.