Finite Group Databasebeta

← Group #14284016

Character table — Group #14284016

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222224444444444444444444555588888888888888888888888810101010101010101616161616161616161616162020202020202040404040404060606060606060606060606060606060
order122234444666451010101212121212121515303030303030444444121212122020202020206060606060606060606060604444121212122020202060606060606060602661212121244121212128888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111-1-1-1-11111111111-1-1-1-11111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111-1-1-1-11111111111-1-1-1-11111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111-1-1-1-11111111111-1-1-1-1111111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-11-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211111-1-1-1-11111111111-1-1-1-1111111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-11-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-1-1-111
χ1411111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-11111-1-1
χ1511111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-111111-111-1-111-1-1-1-111-1-11111-1-1
χ1611111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-111111-111-1-1-1-11111-1-111-1-1-1-111
χ172222222-2-2222-22222-2-222-2-2222222222222000000-2-2-2-222-2-2-2-2-2-2-2-22222-2-2222222000000000000-2-2-2-2-2220000000000000000000000
χ182222222-2-2222-22222-2-222-2-222222222-2-2-2-2000000-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-200000000000022222-2-20000000000000000000000
χ1922222-2-222222-22222-2-2-2-222222222222222000000-2-222-2-2-2-2-2-22222-2-2-2-222-2-22222000000000000-2-2-222-2-20000000000000000000000
χ2022222-2-222222-22222-2-2-2-22222222222-2-2-2-2000000-2-222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-2000000000000222-2-2220000000000000000000000
χ212222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-10000000000000000
χ222222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111112-1-1-1-1-1-1-2-211110000000000000000
χ232222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-1-1-1-1-2111111-2-211110000000000000000
χ242222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111-211111122-1-1-1-10000000000000000
χ252222-122-2-2-1-1-1-2222211-1-111-1-1-1-1-1-1-1-1222200−i3i3−i3i3-2-2-2-22211111111-1-1-1-1-2-222-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-21111-1-100−i3i3−i3i30000000000000000
χ262222-122-2-2-1-1-1-2222211-1-111-1-1-1-1-1-1-1-1222200i3−i3i3−i3-2-2-2-22211111111-1-1-1-1-2-222-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-21111-1-100i3−i3i3−i30000000000000000
χ272222-122-2-2-1-1-1-2222211-1-111-1-1-1-1-1-1-1-1-2-2-2-200−i3i3−i3i3-2-2-2-22211111111-1-1-1-122-2-211110000−i3−i3i3i3−i3−i3i3i32-1-1-1-11100i3−i3i3−i30000000000000000
χ282222-122-2-2-1-1-1-2222211-1-111-1-1-1-1-1-1-1-1-2-2-2-200i3−i3i3−i3-2-2-2-22211111111-1-1-1-122-2-211110000i3i3−i3−i3i3i3−i3−i32-1-1-1-11100−i3i3−i3i30000000000000000
χ292222-1-2-222-1-1-1-222221111-1-1-1-1-1-1-1-1-1-1222200−i3i3i3−i3-2-222-2-21111-1-1-1-1111122-2-2-1-1-1-10000−i3−i3i3i3i3i3−i3−i3-211-1-11100−i3i3i3−i30000000000000000
χ302222-1-2-222-1-1-1-222221111-1-1-1-1-1-1-1-1-1-1222200i3−i3−i3i3-2-222-2-21111-1-1-1-1111122-2-2-1-1-1-10000i3i3−i3−i3−i3−i3i3i3-211-1-11100i3−i3−i3i30000000000000000
χ312222-1-2-222-1-1-1-222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-200−i3i3i3−i3-2-222-2-21111-1-1-1-11111-2-22211110000−i3−i3i3i3i3i3−i3−i32-1-111-1-100i3−i3−i3i30000000000000000
χ322222-1-2-222-1-1-1-222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-200i3−i3−i3i3-2-222-2-21111-1-1-1-11111-2-22211110000i3i3−i3−i3−i3−i3i3i32-1-111-1-100−i3i3i3−i30000000000000000
χ332222-1-2-2-2-2-1-1-122222-1-11111-1-1-1-1-1-1-1-122222-2-1-11122-2-2-2-2-1-1-1-111111111-2-2-2-2-1-1-1-122-2-2-1-1-1-111112-1-111112-2-1-1110000000000000000
χ342222-1-2-2-2-2-1-1-122222-1-11111-1-1-1-1-1-1-1-12222-2211-1-122-2-2-2-2-1-1-1-111111111-2-2-2-2-1-1-1-1-2-2221111-1-1-1-12-1-11111-2211-1-10000000000000000
χ352222-1-2-2-2-2-1-1-122222-1-11111-1-1-1-1-1-1-1-1-2-2-2-22-2-1-11122-2-2-2-2-1-1-1-1111111112222111122-2-2-1-1-1-11111-211-1-1-1-1-2211-1-10000000000000000
χ362222-1-2-2-2-2-1-1-122222-1-11111-1-1-1-1-1-1-1-1-2-2-2-2-2211-1-122-2-2-2-2-1-1-1-11111111122221111-2-2221111-1-1-1-1-211-1-1-1-12-2-1-1110000000000000000
χ372-22-222-200-22-202-2-22002-20022-2-2-2-2222i2i−2i−2i00000000002-20000000022-2-2002i−2i2i2i−2i−2i000000000000000002i−2i000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i
χ382-22-222-200-22-202-2-22002-20022-2-2-2-2222i2i−2i−2i00000000002-20000000022-2-2002i−2i2i2i−2i−2i000000000000000002i−2i00000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i
χ392-22-222-200-22-202-2-22002-20022-2-2-2-222−2i−2i2i2i00000000002-20000000022-2-200−2i2i−2i−2i2i2i00000000000000000−2i2i000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i
χ402-22-222-200-22-202-2-22002-20022-2-2-2-222−2i−2i2i2i00000000002-20000000022-2-200−2i2i−2i−2i2i2i00000000000000000−2i2i00000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i
χ412-22-22-2200-22-202-2-2200-220022-2-2-2-2222i2i−2i−2i0000000000-2200000000-2-22200−2i2i2i2i−2i−2i00000000000000000−2i2i000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i
χ422-22-22-2200-22-202-2-2200-220022-2-2-2-2222i2i−2i−2i0000000000-2200000000-2-22200−2i2i2i2i−2i−2i00000000000000000−2i2i00000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i
χ432-22-22-2200-22-202-2-2200-220022-2-2-2-222−2i−2i2i2i0000000000-2200000000-2-222002i−2i−2i−2i2i2i000000000000000002i−2i000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i
χ442-22-22-2200-22-202-2-2200-220022-2-2-2-222−2i−2i2i2i0000000000-2200000000-2-222002i−2i−2i−2i2i2i000000000000000002i−2i00000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i
χ452-2-222002-2-2-22022-2-200002-22222-2-2-2-22i−2i2i−2i000000002-200000022-2-200002i−2i002i−2i2i−2i0000000000000002i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ462-2-222002-2-2-22022-2-200002-22222-2-2-2-22i−2i2i−2i000000002-200000022-2-200002i−2i002i−2i2i−2i0000000000000002i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ472-2-222002-2-2-22022-2-200002-22222-2-2-2-2−2i2i−2i2i000000002-200000022-2-20000−2i2i00−2i2i−2i2i000000000000000−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ482-2-222002-2-2-22022-2-200002-22222-2-2-2-2−2i2i−2i2i000000002-200000022-2-20000−2i2i00−2i2i−2i2i000000000000000−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ492-2-22200-22-2-22022-2-20000-222222-2-2-2-22i−2i2i−2i00000000-22000000-2-2220000−2i2i002i−2i2i−2i000000000000000−2i2i000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ502-2-22200-22-2-22022-2-20000-222222-2-2-2-22i−2i2i−2i00000000-22000000-2-2220000−2i2i002i−2i2i−2i000000000000000−2i2i00000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ512-2-22200-22-2-22022-2-20000-222222-2-2-2-2−2i2i−2i2i00000000-22000000-2-22200002i−2i00−2i2i−2i2i0000000000000002i−2i000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ522-2-22200-22-2-22022-2-20000-222222-2-2-2-2−2i2i−2i2i00000000-22000000-2-22200002i−2i00−2i2i−2i2i0000000000000002i−2i00000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ534444444444444-1-1-1-1444444-1-1-1-1-1-1-1-10000444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000
χ544444444444444-1-1-1-1444444-1-1-1-1-1-1-1-10000-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111111100000000000000000000000000000
χ554444444-4-4444-4-1-1-1-1-4-444-4-4-1-1-1-1-1-1-1-100000000001111-1-111111111-1-1-1-100000000−55−55−55−55−55−5500000000000000000000000000000
χ564444444-4-4444-4-1-1-1-1-4-444-4-4-1-1-1-1-1-1-1-100000000001111-1-111111111-1-1-1-1000000005−55−55−55−55−55−500000000000000000000000000000
χ5744444-4-444444-4-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-1000000000011-1-1111111-1-1-1-1111100000000−555−5−55−555−55−500000000000000000000000000000
χ5844444-4-444444-4-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-1000000000011-1-1111111-1-1-1-11111000000005−5−555−55−5−55−5500000000000000000000000000000
χ5944444-4-4-4-44444-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-100004-444-4-4-1-11111-1-1-1-11111111100000000-1-111-1-1-1-1111100000000000000000000000000000
χ6044444-4-4-4-44444-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-10000-44-4-444-1-11111-1-1-1-1111111110000000011-1-11111-1-1-1-100000000000000000000000000000
χ614444-24444-2-2-24-1-1-1-1-2-2-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000044-2-2-2-2-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000-1-1-1-11−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i15200000000000000000000000000000
χ624444-24444-2-2-24-1-1-1-1-2-2-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-4-42222-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000001111−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i15200000000000000000000000000000
χ634444-24444-2-2-24-1-1-1-1-2-2-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000044-2-2-2-2-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000-1-1-1-11+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i15200000000000000000000000000000
χ644444-24444-2-2-24-1-1-1-1-2-2-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-4-42222-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000001111−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i15200000000000000000000000000000
χ654444-244-4-4-2-2-2-4-1-1-1-122-2-2221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000−2i32i3−2i32i31111-1-1−1+i152−1+i152−1−i152−1−i152−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i152000000005−55−5ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000000000000000000000
χ664444-244-4-4-2-2-2-4-1-1-1-122-2-2221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000002i3−2i32i3−2i31111-1-1−1+i152−1+i152−1−i152−1−i152−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i15200000000−55−55−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ5800000000000000000000000000000
χ674444-244-4-4-2-2-2-4-1-1-1-122-2-2221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000−2i32i3−2i32i31111-1-1−1−i152−1−i152−1+i152−1+i152−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i15200000000−55−55ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000000000000000000000
χ684444-244-4-4-2-2-2-4-1-1-1-122-2-2221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000002i3−2i32i3−2i31111-1-1−1−i152−1−i152−1+i152−1+i152−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i152000000005−55−5−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000000000000000000000
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χ834-44-4-24-4002-2204-4-4400-2200-2-22222-2-24i4i−4i−4i00000000004-400000000-2-222004i−4i−2i−2i2i2i00000000000000000−2i2i0000000000000000000000
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χ904-4-44-200-4422-2044-4-400002-2-2-2-2-22222−4i4i−4i4i00000000-4400000022-2-200004i−4i002i−2i2i−2i000000000000000−2i2i000000000000000000000000
χ9188-8-8800008-8-80-22-22000000-2-222-2-2220000000000−25250000−252525−25000000000000000000000000000000000000000000000000000000000
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χ9388-8-8-40000-4440-22-22−4i34i300001−i151+i15−1+i15−1−i151−i151+i15−1+i15−1−i15000000000025−2500002ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46000000000000000000000000000000000000000000000000000000000
χ9488-8-8-40000-4440-22-22−4i34i300001+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i150000000000−252500002ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58000000000000000000000000000000000000000000000000000000000
χ9588-8-8-40000-4440-22-224i3−4i300001−i151+i15−1+i15−1−i151−i151+i15−1+i15−1−i150000000000−25250000−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46000000000000000000000000000000000000000000000000000000000
χ9688-8-8-40000-4440-22-224i3−4i300001+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i15000000000025−250000−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58000000000000000000000000000000000000000000000000000000000
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χ998-88-8-48-8004-440-222-200-44001−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i1500000000000000-22000000001−i151+i15−1+i15−1−i150000000000000000000000000000000000000000000000000
χ1008-88-8-48-8004-440-222-200-44001+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i1500000000000000-22000000001+i151−i15−1−i15−1+i150000000000000000000000000000000000000000000000000
χ1018-88-8-4-88004-440-222-2004-4001−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i15000000000000002-200000000−1+i15−1−i151−i151+i150000000000000000000000000000000000000000000000000
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χ1048-8-88800-88-8-880-2-2220000-88-2-2-2-222220000000000002-200000022-2-200000000000000000000000000000000000000000000000000000
χ1058-8-88-4008-844-40-2-2220000-441−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i15000000000000-220000001−i151+i15−1+i15−1−i1500000000000000000000000000000000000000000000000000000
χ1068-8-88-4008-844-40-2-2220000-441+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i15000000000000-220000001+i151−i15−1−i15−1+i1500000000000000000000000000000000000000000000000000000
χ1078-8-88-400-8844-40-2-22200004-41−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i150000000000002-2000000−1+i15−1−i151−i151+i1500000000000000000000000000000000000000000000000000000
χ1088-8-88-400-8844-40-2-22200004-41+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i150000000000002-2000000−1−i15−1+i151+i151−i1500000000000000000000000000000000000000000000000000000

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