Finite Group Databasebeta

← Group #11753465

Character table — Group #11753465

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444455556666888888888888888810101010101012121212121212121212202020202020202024242424303030306060
order12223445566610101010101044121212121212151520202020303030303030444444442020202060606060606060606060606044121212124420202020202020204412121212121220202020224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ7111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1
χ911111-1-1111111111111-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-1-11
χ1011111-1-1111111111111-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1111-1-1-1-111-1-1-1-1111-1
χ1111111-1-1111111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-11-1-1-11111-1-111-1-1111-1
χ1211111-1-1111111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-1111111-1-111-1-1-11
χ1311111-1-111111111111-11-1-111-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-111111-1-1-1-11-1-1-1-1-11111-1-111-1-11-1
χ1411111-1-111111111111-11-1-111-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-111111-1-1-1-1-111-1-111-1-111-11
χ1511111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-111111-1-111-1-1-1-111-11
χ1611111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-111111-1-1-1-11111-1-11-1
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+5200002222−1−52−1+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+5200000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+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+520000-2-2-2-2−1−52−1+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+52000000-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−52000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000022221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000-2-2-2-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000221+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000
χ212222222−1+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+52−1−5200002222−1+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+52−1−52−1−5200000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000
χ222222222−1+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+52−1−520000-2-2-2-2−1+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+52−1−52−1−52000000-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+52000000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000022221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000-2-2-2-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000221−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000
χ2522222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52000022-2-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+520000-2-2221+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000-221+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52000022-2-2−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000-22−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+520000-2-222−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000002-21+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52000022-2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000
χ3022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−520000-2-2221−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000-221−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000
χ3122222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52000022-2-2−1+52−1−521−521+521−521−521+521+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+5200000000−1+52−1−521−521+52000000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−520000-2-222−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000002-21−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52000000
χ332222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222200002222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000022-1-1-1-1-1-10000000000
χ342222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-200002222-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000000000-2-21111110000000000
χ352222-12222-1-1-1222222-2-2-1-11111-1-12222-1-1-1-1-1-122220000-2-2-2-21111-1-1-1-1111122-1-1-1-10000000000-2-211-1-1110000000000
χ362222-12222-1-1-1222222-2-2-1-11111-1-12222-1-1-1-1-1-1-2-2-2-20000-2-2-2-21111-1-1-1-11111-2-21111000000000022-1-111-1-10000000000
χ372222-1-2-222-1-1-12222222-21111-1-1-1-1-2-2-2-2-1-1-1-1-1-122220000-2-222-1-1-1-111111111-2-2-1-1-1-10000000000-22-1-111110000000000
χ382222-1-2-222-1-1-12222222-21111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-20000-2-222-1-1-1-11111111122111100000000002-211-1-1-1-10000000000
χ392222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-12222000022-2-211111111-1-1-1-1-2-2-1-1-1-100000000002-21111-1-10000000000
χ402222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-2000022-2-211111111-1-1-1-12211110000000000-22-1-1-1-1110000000000
χ4122-2-2200222-2-222-2-2-2-20000000022000022-2-2-2-222-2-22-20000000000000000000022-2-2002-22-200000000000000002-20000
χ4222-2-2200222-2-222-2-2-2-20000000022000022-2-2-2-222-2-2-220000000000000000000022-2-200-22-220000000000000000-220000
χ4322-2-2200222-2-222-2-2-2-20000000022000022-2-2-2-2-2-2222-200000000000000000000-2-222002-22-20000000000000000-220000
χ4422-2-2200222-2-222-2-2-2-20000000022000022-2-2-2-2-2-222-2200000000000000000000-2-22200-22-2200000000000000002-20000
χ452-22-222i−2i22-2-22-2-2-2-222002i−2i0000222i−2i2i−2i-2-222-2-22i−2i2i−2i0000000000002i−2i2i−2i00002-22i−2i2i−2i000000000000002-2000000000000
χ462-22-222i−2i22-2-22-2-2-2-222002i−2i0000222i−2i2i−2i-2-222-2-2−2i2i−2i2i0000000000002i−2i2i−2i0000-22−2i2i−2i2i00000000000000-22000000000000
χ472-22-22−2i2i22-2-22-2-2-2-22200−2i2i000022−2i2i−2i2i-2-222-2-22i−2i2i−2i000000000000−2i2i−2i2i0000-222i−2i2i−2i00000000000000-22000000000000
χ482-22-22−2i2i22-2-22-2-2-2-22200−2i2i000022−2i2i−2i2i-2-222-2-2−2i2i−2i2i000000000000−2i2i−2i2i00002-2−2i2i−2i2i000000000000002-2000000000000
χ492-22-2-12i−2i2211-1-2-2-2-22200−ii3−3−i3i3-1-12i−2i2i−2i11-1-1112i−2i2i−2i00000000−i3i3−i3i3−ii−ii3−33−32-2−ii−ii0000000000003−3-11−i3i30000000000
χ502-22-2-12i−2i2211-1-2-2-2-22200−ii3−3−i3i3-1-12i−2i2i−2i11-1-111−2i2i−2i2i00000000−i3i3−i3i3−ii−ii3−33−3-22i−ii−i000000000000−331-1i3−i30000000000
χ512-22-2-12i−2i2211-1-2-2-2-22200−ii−33i3−i3-1-12i−2i2i−2i11-1-1112i−2i2i−2i00000000i3−i3i3−i3−ii−ii−33−332-2−ii−ii000000000000−33-11i3−i30000000000
χ522-22-2-12i−2i2211-1-2-2-2-22200−ii−33i3−i3-1-12i−2i2i−2i11-1-111−2i2i−2i2i00000000i3−i3i3−i3−ii−ii−33−33-22i−ii−i0000000000003−31-1−i3i30000000000
χ532-22-2-1−2i2i2211-1-2-2-2-22200i−i3−3i3−i3-1-1−2i2i−2i2i11-1-1112i−2i2i−2i00000000i3−i3i3−i3i−ii−i3−33−3-22−ii−ii000000000000−331-1−i3i30000000000
χ542-22-2-1−2i2i2211-1-2-2-2-22200i−i3−3i3−i3-1-1−2i2i−2i2i11-1-111−2i2i−2i2i00000000i3−i3i3−i3i−ii−i3−33−32-2i−ii−i0000000000003−3-11i3−i30000000000
χ552-22-2-1−2i2i2211-1-2-2-2-22200i−i−33−i3i3-1-1−2i2i−2i2i11-1-1112i−2i2i−2i00000000−i3i3−i3i3i−ii−i−33−33-22−ii−ii0000000000003−31-1i3−i30000000000
χ562-22-2-1−2i2i2211-1-2-2-2-22200i−i−33−i3i3-1-1−2i2i−2i2i11-1-111−2i2i−2i2i00000000−i3i3−i3i3i−ii−i−33−332-2i−ii−i000000000000−33-11−i3i30000000000
χ572-2-2220022-22-2-2-222-2-200000000220000-2-2-2-2222i−2i−2i2i002i−2i0000000000000000002i−2i−2i2i0000002i−2i2i−2i000000000000002-200
χ582-2-2220022-22-2-2-222-2-200000000220000-2-2-2-2222i−2i−2i2i00−2i2i0000000000000000002i−2i−2i2i000000−2i2i−2i2i00000000000000-2200
χ592-2-2220022-22-2-2-222-2-200000000220000-2-2-2-222−2i2i2i−2i002i−2i000000000000000000−2i2i2i−2i0000002i−2i2i−2i00000000000000-2200
χ602-2-2220022-22-2-2-222-2-200000000220000-2-2-2-222−2i2i2i−2i00−2i2i000000000000000000−2i2i2i−2i000000−2i2i−2i2i000000000000002-200
χ614444-244−1−5−1+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+521−5200000000−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000000000000000000
χ624444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-222221+521−52−1−5−1−5−1+5−1+51+521−521+521−521+521−52000000001+51−51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ634444-244−1+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+5200000000−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+520000000000000000000000000000000000
χ644444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-4-2-222221−521+52−1+5−1+5−1−5−1−51−521+521−521+521−521+52000000001−51+51−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000
χ654444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+54-42222-2-21+521−521+51+51−51−51+521−521+521−521+521−52000000001+51−5−1−5−1+51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ664444-2-4-4−1−5−1+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+521−5200000000−1−5−1+51+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000
χ674444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−54-42222-2-21−521+521−51−51+51+51−521+521−521+521−521+52000000001−51+5−1+5−1−51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000
χ684444-2-4-4−1+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+5200000000−1+5−1−51−51+5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000
χ6944-4-4400−1−5−1+54-4-4−1−5−1+51+51−51+51−500000000−1−5−1+50000−1−5−1+51+51−51+51−500004-400000000000000000000000000−1−51+5−1+51−50000000000000000000000
χ7044-4-4400−1−5−1+54-4-4−1−5−1+51+51−51+51−500000000−1−5−1+50000−1−5−1+51+51−51+51−50000-44000000000000000000000000001+5−1−51−5−1+50000000000000000000000
χ7144-4-4400−1+5−1−54-4-4−1+5−1−51−51+51−51+500000000−1+5−1−50000−1+5−1−51−51+51−51+500004-400000000000000000000000000−1+51−5−1−51+50000000000000000000000
χ7244-4-4400−1+5−1−54-4-4−1+5−1−51−51+51−51+500000000−1+5−1−50000−1+5−1−51−51+51−51+50000-44000000000000000000000000001−5−1+51+5−1−50000000000000000000000
χ7344-4-4-20044-22244-4-4-4-400000000-2-20000-2-2222244-4-40000000000000000000000-2-2220000000000000000000000000000
χ7444-4-4-20044-22244-4-4-4-400000000-2-20000-2-22222-4-444000000000000000000000022-2-20000000000000000000000000000
χ754-44-444i−4i−1−5−1+5-4-441+51−51+51−5−1−5−1+5004i−4i0000−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+51−5−1−5−1+51+51−50000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000
χ764-44-444i−4i−1+5−1−5-4-441−51+51−51+5−1+5−1−5004i−4i0000−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−51+5−1+5−1−51−51+50000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000
χ774-44-44−4i4i−1−5−1+5-4-441+51−51+51−5−1−5−1+500−4i4i0000−1−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+51−5−1−5−1+51+51−500000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000
χ784-44-44−4i4i−1+5−1−5-4-441−51+51−51+5−1+5−1−500−4i4i0000−1+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−51+5−1+5−1−51−51+500000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000
χ794-44-4-24i−4i−1−5−1+522-21+51−51+51−5−1−5−1+500−2i2i23−23−2i32i31+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−52−1+521+521−52−1−52−1+52000000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000000000000000000000000000000000
χ804-44-4-24i−4i−1−5−1+522-21+51−51+51−5−1−5−1+500−2i2i−23232i3−2i31+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−52−1+521+521−52−1−52−1+52000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000000000000000000000000000000000
χ814-44-4-24i−4i−1+5−1−522-21−51+51−51+5−1+5−1−500−2i2i23−23−2i32i31−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+52−1−521−521+52−1+52−1−52000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000000000000000000000000000000000
χ824-44-4-24i−4i−1+5−1−522-21−51+51−51+5−1+5−1−500−2i2i−23232i3−2i31−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+52−1−521−521+52−1+52−1−52000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000000000000000000000000000000000
χ834-44-4-2−4i4i−1−5−1+522-21+51−51+51−5−1−5−1+5002i−2i23−232i3−2i31+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−52−1+521+521−52−1−52−1+52000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000000000000000000000000000000000
χ844-44-4-2−4i4i−1−5−1+522-21+51−51+51−5−1−5−1+5002i−2i−2323−2i32i31+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−52−1+521+521−52−1−52−1+52000000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000000000000000000000000000000000
χ854-44-4-2−4i4i−1+5−1−522-21−51+51−51+5−1+5−1−5002i−2i23−232i3−2i31−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+52−1−521−521+52−1+52−1−52000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000000000000000000000000000000000
χ864-44-4-2−4i4i−1+5−1−522-21−51+51−51+5−1+5−1−5002i−2i−2323−2i32i31−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+52−1−521−521+52−1+52−1−52000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000000000000000000000000000000000
χ874-4-44400−1−5−1+5-44-41+51−5−1−5−1+51+51−500000000−1−5−1+500001+51−51+51−5−1−5−1+50000004i−4i0000000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000
χ884-4-44400−1−5−1+5-44-41+51−5−1−5−1+51+51−500000000−1−5−1+500001+51−51+51−5−1−5−1+5000000−4i4i00000000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000
χ894-4-44400−1+5−1−5-44-41−51+5−1+5−1−51−51+500000000−1+5−1−500001−51+51−51+5−1+5−1−50000004i−4i0000000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000
χ904-4-44400−1+5−1−5-44-41−51+5−1+5−1−51−51+500000000−1+5−1−500001−51+51−51+5−1+5−1−5000000−4i4i00000000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000
χ914-4-44-200442-22-4-444-4-400000000-2-200002222-2-24i−4i−4i4i0000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ924-4-44-200442-22-4-444-4-400000000-2-200002222-2-2−4i4i4i−4i00000000000000000000002i−2i−2i2i0000000000000000000000000000
χ9388-8-8-400−2−25−2+25-444−2−25−2+252+252−252+252−25000000001+51−500001+51−5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000
χ9488-8-8-400−2+25−2−25-444−2+25−2−252−252+252−252+25000000001−51+500001−51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000
χ958-8-88-400−2−25−2+254-442+252−25−2−25−2+252+252−25000000001+51−50000−1−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000000000000
χ968-8-88-400−2+25−2−254-442−252+25−2+25−2−252−252+25000000001−51+50000−1+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000000000

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