Finite Group Databasebeta

← Group #11754854

Character table — Group #11754854

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444455556666888888888888888810101010101012121212121212121212202020202020202024242424303030306060
order1222344556661010101010102266661212151520202020303030303030444444441010101030303030303030306060606044121212124420202020202020204412121212121220202020224444
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
χ5111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111111111-1-1
χ911111-1-1111111111111-111-1-1-1-111-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-11-1-1-111-1-111-1-111-1-11-1
χ1011111-1-1111111111111-111-1-1-1-111-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111111-1-1-111-1-1-1-111-1-111-11
χ1111111-1-1111111111111-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1111-1-11111-1-1-1-111-11
χ1211111-1-1111111111111-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-1111-1-111-1-11111-1-11-1
χ1311111-1-111111111111-11-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-111111-1-1-1-1-11-1-1-1-111-1-11111-1-1-11
χ1411111-1-111111111111-11-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1111-1
χ1511111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-111111-1-1-1-11-11111-1-1-1-111-1-1111-1
χ1611111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-1-111111-11111-1-111-1-111-1-1-11
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+52-2-2-2-2-2-222−1−52−1+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+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+52-2-2-2-2-2-222−1−52−1+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+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+52−1−52-2-2-2-2-2-222−1+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+521−521−521+521+52−1+52−1+52−1−52−1−52000000-2-2−1+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+52−1−52-2-2-2-2-2-222−1+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+521−521−521+521+52−1+52−1+52−1−52−1−52000000221−521−521+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+522-222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52000022-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000002-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000
χ2622222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+520000-2-222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000-221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+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+52000022-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-22−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+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+520000-2-2221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000002-21+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000
χ2922222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-222-2-2-2-2−1+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+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+5200000000−1+52−1−521−521+52000000
χ3022222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-222-2-2-2-2−1+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+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+52−1−52−1−52000000001−521+52−1+52−1−52000000
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+52−1−52000022-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000-22−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000
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+52−1−520000-2-2221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000002-21−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+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
χ352222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-122220000-2-2-2-211111111-1-1-1-122-1-1-1-10000000000-2-2-1-111110000000000
χ362222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-1-2-2-2-20000-2-2-2-211111111-1-1-1-1-2-2111100000000002211-1-1-1-10000000000
χ372222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-12222000022-2-2-1-1-1-111111111-2-2-1-1-1-100000000002-211-1-1110000000000
χ382222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-2000022-2-2-1-1-1-1111111112211110000000000-22-1-111-1-10000000000
χ392222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-122220000-2-2221111-1-1-1-11111-2-2-1-1-1-10000000000-221111-1-10000000000
χ402222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-20000-2-2221111-1-1-1-1111122111100000000002-2-1-1-1-1110000000000
χ4122-2-220022-2-222-22-2-2-2000000002200002-22-2-2-222-2-2002i−2i00000000000000000022-2-20000002i−2i2i−2i000000000000002i−2i00
χ4222-2-220022-2-222-22-2-2-2000000002200002-22-2-2-222-2-200−2i2i00000000000000000022-2-2000000−2i2i−2i2i00000000000000−2i2i00
χ4322-2-220022-2-222-22-2-2-2000000002200002-22-2-2-2-2-222002i−2i000000000000000000-2-2220000002i−2i2i−2i00000000000000−2i2i00
χ4422-2-220022-2-222-22-2-2-2000000002200002-22-2-2-2-2-22200−2i2i000000000000000000-2-222000000−2i2i−2i2i000000000000002i−2i00
χ452-22-222-2222-2-2-2-2-2-2220000002-2222-22-2-2-2-2-2222i−2i2i−2i00000000000000002-22-22i−2i2i−2i2i−2i0000000000002i−2i00000000000000
χ462-22-222-2222-2-2-2-2-2-2220000002-2222-22-2-2-2-2-222−2i2i−2i2i00000000000000002-22-2−2i2i−2i2i−2i2i000000000000−2i2i00000000000000
χ472-22-22-22222-2-2-2-2-2-222000000-2222-22-22-2-2-2-2222i−2i2i−2i0000000000000000-22-22−2i2i2i−2i2i−2i000000000000−2i2i00000000000000
χ482-22-22-22222-2-2-2-2-2-222000000-2222-22-22-2-2-2-222−2i2i−2i2i0000000000000000-22-222i−2i−2i2i−2i2i0000000000002i−2i00000000000000
χ492-22-2-12-222-111-2-2-2-22200−i3i3−i3i3-11-1-12-22-21111-1-12i−2i2i−2i00000000−i3i3−i3i3−i3i3−i3i3-11-112i−2i−ii−ii000000000000−ii3−33−30000000000
χ502-22-2-12-222-111-2-2-2-22200−i3i3−i3i3-11-1-12-22-21111-1-1−2i2i−2i2i00000000−i3i3−i3i3−i3i3−i3i3-11-11−2i2ii−ii−i000000000000i−i−33−330000000000
χ512-22-2-12-222-111-2-2-2-22200i3−i3i3−i3-11-1-12-22-21111-1-12i−2i2i−2i00000000i3−i3i3−i3i3−i3i3−i3-11-112i−2i−ii−ii000000000000−ii−33−330000000000
χ522-22-2-12-222-111-2-2-2-22200i3−i3i3−i3-11-1-12-22-21111-1-1−2i2i−2i2i00000000i3−i3i3−i3i3−i3i3−i3-11-11−2i2ii−ii−i000000000000i−i3−33−30000000000
χ532-22-2-1-2222-111-2-2-2-22200−i3i3i3−i31-1-1-1-22-221111-1-12i−2i2i−2i00000000−i3i3−i3i3i3−i3i3−i31-11-1−2i2i−ii−ii000000000000i−i3−3−330000000000
χ542-22-2-1-2222-111-2-2-2-22200−i3i3i3−i31-1-1-1-22-221111-1-1−2i2i−2i2i00000000−i3i3−i3i3i3−i3i3−i31-11-12i−2ii−ii−i000000000000−ii−333−30000000000
χ552-22-2-1-2222-111-2-2-2-22200i3−i3−i3i31-1-1-1-22-221111-1-12i−2i2i−2i00000000i3−i3i3−i3−i3i3−i3i31-11-1−2i2i−ii−ii000000000000i−i−333−30000000000
χ562-22-2-1-2222-111-2-2-2-22200i3−i3−i3i31-1-1-1-22-221111-1-1−2i2i−2i2i00000000i3−i3i3−i3−i3i3−i3i31-11-12i−2ii−ii−i000000000000−ii3−3−330000000000
χ572-2-2220022-22-2-22-22-2-200000000220000-22-22-2-22i−2i−2i2i2i−2i000000000000000000002i−2i−2i2i002i−2i2i−2i00000000000000002-20000
χ582-2-2220022-22-2-22-22-2-200000000220000-22-22-2-22i−2i−2i2i−2i2i000000000000000000002i−2i−2i2i00−2i2i−2i2i0000000000000000-220000
χ592-2-2220022-22-2-22-22-2-200000000220000-22-22-2-2−2i2i2i−2i2i−2i00000000000000000000−2i2i2i−2i002i−2i2i−2i0000000000000000-220000
χ602-2-2220022-22-2-22-22-2-200000000220000-22-22-2-2−2i2i2i−2i−2i2i00000000000000000000−2i2i2i−2i00−2i2i−2i2i00000000000000002-20000
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+5-4-42222-2-21+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+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000
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+5−1−5-4-42222-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+52000000001−51+51−51+5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000
χ654444-2-4-4−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+54-4-2-222221+521−521+51+51−51−51+521+521−521−521+521−5200000000−1−5−1+51+51−51+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+521−52000000001+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ674444-2-4-4−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−54-4-2-222221−521+521−51−51+51+51−521−521+521+521−521+5200000000−1+5−1−51−51+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+52000000001−51+5−1+5−1−5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000
χ6944-4-4400−1−5−1+5-4-44−1−51+5−1+51−51+51−500000000−1−5−1+50000−1−51+5−1+51−51+51−50000004i−4i0000000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000
χ7044-4-4400−1−5−1+5-4-44−1−51+5−1+51−51+51−500000000−1−5−1+50000−1−51+5−1+51−51+51−5000000−4i4i00000000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000
χ7144-4-4400−1+5−1−5-4-44−1+51−5−1−51+51−51+500000000−1+5−1−50000−1+51−5−1−51+51−51+50000004i−4i0000000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000
χ7244-4-4400−1+5−1−5-4-44−1+51−5−1−51+51−51+500000000−1+5−1−50000−1+51−5−1−51+51−51+5000000−4i4i00000000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000
χ7344-4-4-2004422-24-44-4-4-400000000-2-20000-22-222244-4-40000000000000000000000-2-2220000000000000000000000000000
χ7444-4-4-2004422-24-44-4-4-400000000-2-20000-22-2222-4-444000000000000000000000022-2-20000000000000000000000000000
χ754-44-444-4−1−5−1+54-4-41+51+51−51−5−1−5−1+50000004-4−1−5−1+5−1−51+5−1+51−51+51+51−51−5−1−5−1+500000000000000000000−1−51+5−1+51−50000000000000000000000000000000000
χ764-44-444-4−1+5−1−54-4-41−51−51+51+5−1+5−1−50000004-4−1+5−1−5−1+51−5−1−51+51−51−51+51+5−1+5−1−500000000000000000000−1+51−5−1−51+50000000000000000000000000000000000
χ774-44-44-44−1−5−1+54-4-41+51+51−51−5−1−5−1+5000000-44−1−5−1+51+5−1−51−5−1+51+51+51−51−5−1−5−1+5000000000000000000001+5−1−51−5−1+50000000000000000000000000000000000
χ784-44-44-44−1+5−1−54-4-41−51−51+51+5−1+5−1−5000000-44−1+5−1−51−5−1+51+5−1−51−51−51+51+5−1+5−1−5000000000000000000001−5−1+51+5−1−50000000000000000000000000000000000
χ794-44-4-24-4−1−5−1+5-2221+51+51−51−5−1−5−1+500−2i32i3−2i32i3-221+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−52000000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ581+52−1−521−52−1+520000000000000000000000000000000000
χ804-44-4-24-4−1−5−1+5-2221+51+51−51−5−1−5−1+5002i3−2i32i3−2i3-221+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−52000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ581+52−1−521−52−1+520000000000000000000000000000000000
χ814-44-4-24-4−1+5−1−5-2221−51−51+51+5−1+5−1−500−2i32i3−2i32i3-221−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+52000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ461−52−1+521+52−1−520000000000000000000000000000000000
χ824-44-4-24-4−1+5−1−5-2221−51−51+51+5−1+5−1−5002i3−2i32i3−2i3-221−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+52000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ461−52−1+521+52−1−520000000000000000000000000000000000
χ834-44-4-2-44−1−5−1+5-2221+51+51−51−5−1−5−1+500−2i32i32i3−2i32-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−52000000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1−521+52−1+521−520000000000000000000000000000000000
χ844-44-4-2-44−1−5−1+5-2221+51+51−51−5−1−5−1+5002i3−2i3−2i32i32-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−52000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1−521+52−1+521−520000000000000000000000000000000000
χ854-44-4-2-44−1+5−1−5-2221−51−51+51+5−1+5−1−500−2i32i32i3−2i32-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+52000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1+521−52−1−521+520000000000000000000000000000000000
χ864-44-4-2-44−1+5−1−5-2221−51−51+51+5−1+5−1−5002i3−2i3−2i32i32-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+52000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1+521−52−1−521+520000000000000000000000000000000000
χ874-4-44400−1−5−1+5-44-41+5−1−51−5−1+51+51−500000000−1−5−1+500001+5−1−51−5−1+51+51−500004i−4i00000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000
χ884-4-44400−1−5−1+5-44-41+5−1−51−5−1+51+51−500000000−1−5−1+500001+5−1−51−5−1+51+51−50000−4i4i000000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000
χ894-4-44400−1+5−1−5-44-41−5−1+51+5−1−51−51+500000000−1+5−1−500001−5−1+51+5−1−51−51+500004i−4i00000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000000000
χ904-4-44400−1+5−1−5-44-41−5−1+51+5−1−51−51+500000000−1+5−1−500001−5−1+51+5−1−51−51+50000−4i4i000000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000
χ914-4-44-200442-22-44-44-4-400000000-2-200002-22-2224i−4i−4i4i0000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ924-4-44-200442-22-44-44-4-400000000-2-200002-22-222−4i4i4i−4i00000000000000000000002i−2i−2i2i0000000000000000000000000000
χ9388-8-8-400−2−25−2+2544-4−2−252+25−2+252−252+252−25000000001+51−500001+5−1−51−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000
χ9488-8-8-400−2+25−2−2544-4−2+252−25−2−252+252−252+25000000001−51+500001−5−1+51+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000
χ958-8-88-400−2−25−2+254-442+25−2−252−25−2+252+252−25000000001+51−50000−1−51+5−1+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000
χ968-8-88-400−2+25−2−254-442−25−2+252+25−2−252−252+25000000001−51+50000−1+51−5−1−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000

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