Finite Group Databasebeta

← Group #11753484

Character table — Group #11753484

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222224444444444444444444466888888888888888810101010101010101010121212121212121212121220202020202020242424243030606060
order122234455666101010101010441212121212121515202020203030303030304420202020606060606060606060606060224444121212124442020202020202020466121212122020202044244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-11-111111111-11111-1-1-1-1-1-1-1-111-1
χ6111111111111111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-11-1111111111-1-1-1-111-1-1-1-111-1-11
χ7111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ8111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111-11-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1
χ911111-1-1111111111111-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-1-11111-1-1-1-1-111
χ1011111-1-1111111111111-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-11111-1-1-1-1-1-1-111-1-111-1-1111-1-1
χ1111111-1-1111111111111-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1
χ1211111-1-1111111111111-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-111-1-1-1-11111-1-1-111-1-1-1-111-1-1-111
χ1311111-1-111111111111-11-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111111-1-1-1-1-111-1-1-1-1-1-11111-11-1
χ1411111-1-111111111111-11-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-11-1-11111-1-111-1-11-11
χ1511111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11111-111-1-1-1-111-1-1-1-11-11
χ1611111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111111-1-1111111-1-111-11-1
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+5222−1−52−1+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+520000000−1−52−1+52−1−52−1+5200000
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+52-2-2−1−52−1+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+520000000000-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−5200000
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+52221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−5200000
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+52-2-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000002-221+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+5200000
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+52−1−5222−1+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+52−1−52−1−520000000−1+52−1−52−1+52−1−5200000
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+52−1−52-2-2−1+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+52−1−52−1−520000000000-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+5200000
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+52−1−52221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+5200000
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+52−1−52-2-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000002-221−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−5200000
χ2522222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−5200000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000-2221+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+5200000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52221+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000-2-22−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+5200000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000022-21+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−5200000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000002-2-2−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+5200000
χ3022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000-2221−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−5200000
χ3122222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52221−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000-2-22−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−5200000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000022-21−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+5200000
χ332222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000000002-1-1-1-1-1-1000000000
χ342222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000000-2111111000000000
χ352222-12222-1-1-1222222-2-2-1-11111-1-12222-1-1-1-1-1-100-2-2-2-21111-1-1-1-1111122-2-222111100000000000-2-1-1-1-111000000000
χ362222-12222-1-1-1222222-2-2-1-11111-1-12222-1-1-1-1-1-100-2-2-2-21111-1-1-1-11111-2-222-2-2-1-1-1-10000000000021111-1-1000000000
χ372222-1-2-222-1-1-12222222-211-1-111-1-1-2-2-2-2-1-1-1-1-1-10022-2-211111111-1-1-1-122-2-2-2-21111000000000002-1-111-1-1000000000
χ382222-1-2-222-1-1-12222222-211-1-111-1-1-2-2-2-2-1-1-1-1-1-10022-2-211111111-1-1-1-1-2-22222-1-1-1-100000000000-211-1-111000000000
χ392222-1-2-222-1-1-1222222-221111-1-1-1-1-2-2-2-2-1-1-1-1-1-100-2-222-1-1-1-1111111112222-2-2-1-1-1-100000000000-2-1-11111000000000
χ402222-1-2-222-1-1-1222222-221111-1-1-1-1-2-2-2-2-1-1-1-1-1-100-2-222-1-1-1-111111111-2-2-2-222111100000000000211-1-1-1-1000000000
χ412-22-222i−2i22-22-2-2-2-2-222002i−2i0000222i−2i2i−2i-2-222-2-200000000002i−2i2i−2i00002-2002i−2i00000000000000002-22i−2i00000000000
χ422-22-222i−2i22-22-2-2-2-2-222002i−2i0000222i−2i2i−2i-2-222-2-200000000002i−2i2i−2i0000-2200−2i2i0000000000000000-22−2i2i00000000000
χ432-22-22−2i2i22-22-2-2-2-2-22200−2i2i000022−2i2i−2i2i-2-222-2-20000000000−2i2i−2i2i00002-200−2i2i00000000000000002-2−2i2i00000000000
χ442-22-22−2i2i22-22-2-2-2-2-22200−2i2i000022−2i2i−2i2i-2-222-2-20000000000−2i2i−2i2i0000-22002i−2i0000000000000000-222i−2i00000000000
χ452-22-2-12i−2i221-11-2-2-2-22200−ii3−3−i3i3-1-12i−2i2i−2i11-1-111000000−i3i3−i3i3−ii−ii3−33−32-2002i−2i−i3−i3i3i3000000000000-11−ii3−3000000000
χ462-22-2-12i−2i221-11-2-2-2-22200−ii3−3−i3i3-1-12i−2i2i−2i11-1-111000000−i3i3−i3i3−ii−ii3−33−3-2200−2i2ii3i3−i3−i30000000000001-1i−i−33000000000
χ472-22-2-12i−2i221-11-2-2-2-22200−ii−33i3−i3-1-12i−2i2i−2i11-1-111000000i3−i3i3−i3−ii−ii−33−332-2002i−2ii3i3−i3−i3000000000000-11−ii−33000000000
χ482-22-2-12i−2i221-11-2-2-2-22200−ii−33i3−i3-1-12i−2i2i−2i11-1-111000000i3−i3i3−i3−ii−ii−33−33-2200−2i2i−i3−i3i3i30000000000001-1i−i3−3000000000
χ492-22-2-1−2i2i221-11-2-2-2-22200i−i3−3i3−i3-1-1−2i2i−2i2i11-1-111000000i3−i3i3−i3i−ii−i3−33−32-200−2i2ii3i3−i3−i3000000000000-11i−i3−3000000000
χ502-22-2-1−2i2i221-11-2-2-2-22200i−i3−3i3−i3-1-1−2i2i−2i2i11-1-111000000i3−i3i3−i3i−ii−i3−33−3-22002i−2i−i3−i3i3i30000000000001-1−ii−33000000000
χ512-22-2-1−2i2i221-11-2-2-2-22200i−i−33−i3i3-1-1−2i2i−2i2i11-1-111000000−i3i3−i3i3i−ii−i−33−332-200−2i2i−i3−i3i3i3000000000000-11i−i−33000000000
χ522-22-2-1−2i2i221-11-2-2-2-22200i−i−33−i3i3-1-1−2i2i−2i2i11-1-111000000−i3i3−i3i3i−ii−i−33−33-22002i−2ii3i3−i3−i30000000000001-1−ii3−3000000000
χ532-2-2220022-2-2222-2-2-2-20000000022000022-2-2-2-22-20000000000000000002i−2i002i−2i2i−2i0002-22-20000000000000002i−2i000
χ542-2-2220022-2-2222-2-2-2-20000000022000022-2-2-2-22-2000000000000000000−2i2i00−2i2i−2i2i0002-22-2000000000000000−2i2i000
χ552-2-2220022-2-2222-2-2-2-20000000022000022-2-2-2-2-220000000000000000002i−2i002i−2i2i−2i000-22-22000000000000000−2i2i000
χ562-2-2220022-2-2222-2-2-2-20000000022000022-2-2-2-2-22000000000000000000−2i2i00−2i2i−2i2i000-22-220000000000000002i−2i000
χ574444-244−1−5−1+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+521−5200−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000000000000000000000
χ584444-244−1−5−1+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+521−52001+51−51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000000
χ594444-244−1+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+5200−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+520000000000000000000000000000000000000
χ604444-244−1+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+52001−51+51−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000000
χ614444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+54-422-2-2221+521−521+51+51−51−51+521−521+521−521+521−5200−1−5−1+51+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000000
χ624444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-442222-2-21+521−521+51+51−51−51+521−521+521−521+521−52001+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+520000000000000000000000000000000000000
χ634444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−54-422-2-2221−521+521−51−51+51+51−521+521−521+521−521+5200−1+5−1−51−51+5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000000
χ644444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-442222-2-21−521+521−51−51+51+51−521+521−521+521−521+52001−51+5−1+5−1−51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000
χ6544-4-4400444-4-4-4-444-4-400000000440000-4-4-4-4440000000000000000000000000000000000000000000000000000000
χ6644-4-4400−1−5−1+54-4-41+51−5−1−5−1+51+51−500000000−1−5−1+500001+51−51+51−5−1−5−1+500000000000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000
χ6744-4-4400−1−5−1+54-4-41+51−5−1−5−1+51+51−500000000−1−5−1+500001+51−51+51−5−1−5−1+5000000000000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000
χ6844-4-4400−1+5−1−54-4-41−51+5−1+5−1−51−51+500000000−1+5−1−500001−51+51−51+5−1+5−1−5000000000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000
χ6944-4-4400−1+5−1−54-4-41−51+5−1+5−1−51−51+500000000−1+5−1−500001−51+51−51+5−1+5−1−500000000000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000
χ7044-4-4-20044-222-4-444-4-400000000-2-200002222-2-200000000000000000000000023−23−2323000000000000000000000000000
χ7144-4-4-20044-222-4-444-4-400000000-2-200002222-2-2000000000000000000000000−232323−23000000000000000000000000000
χ724-44-444i−4i−1−5−1+5-44-41+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+51−50000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000
χ734-44-444i−4i−1+5−1−5-44-41−51+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+50000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000
χ744-44-44−4i4i−1−5−1+5-44-41+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+51−500000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000000
χ754-44-44−4i4i−1+5−1−5-44-41−51+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+500000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000
χ764-44-4-24i−4i−1−5−1+52-221+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+52000000ζ14+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+ζ470000000000000000000000000000000000000
χ774-44-4-24i−4i−1−5−1+52-221+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+52000000−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−ζ470000000000000000000000000000000000000
χ784-44-4-24i−4i−1+5−1−52-221−51+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+52−1−52000000ζ2−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+ζ590000000000000000000000000000000000000
χ794-44-4-24i−4i−1+5−1−52-221−51+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+52−1−52000000−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−ζ590000000000000000000000000000000000000
χ804-44-4-2−4i4i−1−5−1+52-221+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+52000000−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+ζ470000000000000000000000000000000000000
χ814-44-4-2−4i4i−1−5−1+52-221+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+52000000ζ14+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−ζ470000000000000000000000000000000000000
χ824-44-4-2−4i4i−1+5−1−52-221−51+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+52−1−52000000−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+ζ590000000000000000000000000000000000000
χ834-44-4-2−4i4i−1+5−1−52-221−51+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+52−1−52000000ζ2−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−ζ590000000000000000000000000000000000000
χ844-4-44400−1−5−1+5-4-44−1−5−1+51+51−51+51−500000000−1−5−1+50000−1−5−1+51+51−51+51−54-400000000000000000000000000000−1−51+5−1+51−500000000000000000000
χ854-4-44400−1−5−1+5-4-44−1−5−1+51+51−51+51−500000000−1−5−1+50000−1−5−1+51+51−51+51−5-44000000000000000000000000000001+5−1−51−5−1+500000000000000000000
χ864-4-44400−1+5−1−5-4-44−1+5−1−51−51+51−51+500000000−1+5−1−50000−1+5−1−51−51+51−51+54-400000000000000000000000000000−1+51−5−1−51+500000000000000000000
χ874-4-44400−1+5−1−5-4-44−1+5−1−51−51+51−51+500000000−1+5−1−50000−1+5−1−51−51+51−51+5-44000000000000000000000000000001−5−1+51+5−1−500000000000000000000
χ884-4-44-2004422-244-4-4-4-400000000-2-20000-2-22222000000000000000000004i−4i00−2i2i−2i2i000000000000000000000000000
χ894-4-44-2004422-244-4-4-4-400000000-2-20000-2-2222200000000000000000000−4i4i002i−2i2i−2i000000000000000000000000000
χ9088-8-8-400−2−25−2+25-4442+252−25−2−25−2+252+252−25000000001+51−50000−1−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000000000
χ9188-8-8-400−2+25−2−25-4442−252+25−2+25−2−252−252+25000000001−51+50000−1+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000000
χ928-8-88-400−2−25−2+2544-4−2−25−2+252+252−252+252−25000000001+51−500001+51−5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000
χ938-8-88-400−2+25−2−2544-4−2+25−2−252−252+252−252+25000000001−51+500001−51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000

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