Finite Group Databasebeta

← Group #11755180

Character table — Group #11755180

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444455556666888888888888888810101010101012121212121212121212202020202020202024242424303030306060
order12223445566610101010101044121212121212151520202020303030303030444422442020202060606060606060606060606044121212124410101010202020204412121212121220202020444444
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
χ5111111111111111111-1-111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111111111-1-1
χ911111-1-1111111111111-1-1-111-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-11111-1-1-1-11-1-1-111-1-111-1-111-1-11-1
χ1011111-1-1111111111111-1-1-111-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-1-1-111111-1-1-111-1-1-1-111-1-111-11
χ1111111-1-1111111111111-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-11111-1-1-1-1-1111-1-11111-1-1-1-111-11
χ1211111-1-1111111111111-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1-1-11111-1111-1-111-1-11111-1-11-1
χ1311111-1-111111111111-11-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-111111-1-1-1-1-11-1-1-1-111-1-11111-1-1-11
χ1411111-1-111111111111-11-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1111-1
χ1511111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-11-11111-1-1-1-111-1-1111-1
χ1611111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-111111-11111-1-111-1-111-1-1-11
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+52-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52000022221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+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+521−52−1−52−1−52−1+52−1+521+521+521−521−521+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+52−1+52−1+52−1−52−1−521−521−521+521+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+52−1+52−1+52−1−52−1−521−521−521+521+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+522-2-2-222-2-2−1−52−1+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+521−521−52−1−52−1−52−1+52−1+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+522-2-2-222-2-2−1−52−1+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+521−521−52−1−52−1−52−1+52−1+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+52-22-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52000022-2-21+521−52−1−52−1+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+521−521−52000000001+521−52−1−52−1+52000000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+520000-2-2221+521−52−1−52−1+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+5200000000−1−52−1+521+521−52000000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-2-222-2-2−1+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+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−522-2-2-222-2-2−1+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+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52-22-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52000022-2-21−521+52−1+52−1−521−521−521+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+52000000001−521+52−1+52−1−52000000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000-2-2221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000002-21−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+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
χ352222-12222-1-1-1222222-2-2-1-11111-1-12222-1-1-1-1-1-122220000-2-2-2-2-1-1-1-11111111122-1-1-1-10000000000-2-2-1-111110000000000
χ362222-12222-1-1-1222222-2-2-1-11111-1-12222-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-1-1-1-111111111-2-2111100000000002211-1-1-1-10000000000
χ372222-1-2-222-1-1-12222222-211-1-111-1-1-2-2-2-2-1-1-1-1-1-12222000022-2-21111-1-1-1-11111-2-2-1-1-1-100000000002-211-1-1110000000000
χ382222-1-2-222-1-1-12222222-211-1-111-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-2000022-2-21111-1-1-1-111112211110000000000-22-1-111-1-10000000000
χ392222-1-2-222-1-1-1222222-221111-1-1-1-1-2-2-2-2-1-1-1-1-1-122220000-2-22211111111-1-1-1-1-2-2-1-1-1-10000000000-221111-1-10000000000
χ402222-1-2-222-1-1-1222222-221111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-20000-2-22211111111-1-1-1-122111100000000002-2-1-1-1-1110000000000
χ4122-2-220022-22-222-2-2-2-2000000002200002-22-2-2-222-2-22-20000000000000000000022-2-2002-22-200000000000000002-20000
χ4222-2-220022-22-222-2-2-2-2000000002200002-22-2-2-222-2-2-220000000000000000000022-2-200-22-220000000000000000-220000
χ4322-2-220022-22-222-2-2-2-2000000002200002-22-2-2-2-2-2222-200000000000000000000-2-222002-22-20000000000000000-220000
χ4422-2-220022-22-222-2-2-2-2000000002200002-22-2-2-2-2-222-2200000000000000000000-2-22200-22-2200000000000000002-20000
χ452-22-220022-2-22-2-22-22-200000000220000-22-22-2-22i−2i2i−2i002i−2i0000000000000000002i−2i2i−2i0000002i−2i2i−2i000000000000002-200
χ462-22-220022-2-22-2-22-22-200000000220000-22-22-2-22i−2i2i−2i00−2i2i0000000000000000002i−2i2i−2i000000−2i2i−2i2i00000000000000-2200
χ472-22-220022-2-22-2-22-22-200000000220000-22-22-2-2−2i2i−2i2i002i−2i000000000000000000−2i2i−2i2i0000002i−2i2i−2i00000000000000-2200
χ482-22-220022-2-22-2-22-22-200000000220000-22-22-2-2−2i2i−2i2i00−2i2i000000000000000000−2i2i−2i2i000000−2i2i−2i2i000000000000002-200
χ492-2-2222-2222-2-2-2-2-22-22002-20000222-22-2-2-2-2-2222i−2i−2i2i000000002-22-2000000002i−2i2i−2i−2i2i0000000000002i−2i00000000000000
χ502-2-2222-2222-2-2-2-2-22-22002-20000222-22-2-2-2-2-222−2i2i2i−2i000000002-22-200000000−2i2i−2i2i2i−2i000000000000−2i2i00000000000000
χ512-2-222-22222-2-2-2-2-22-2200-22000022-22-22-2-2-2-2222i−2i−2i2i00000000-22-2200000000−2i2i2i−2i−2i2i000000000000−2i2i00000000000000
χ522-2-222-22222-2-2-2-2-22-2200-22000022-22-22-2-2-2-222−2i2i2i−2i00000000-22-22000000002i−2i−2i2i2i−2i0000000000002i−2i00000000000000
χ532-2-22-12-222-111-2-2-22-2200-11−i3i3−i3i3-1-12-22-21111-1-12i−2i−2i2i00000000-11-11−i3i3−i3i3−i3i3−i3i32i−2i−iii−i000000000000−ii3−33−30000000000
χ542-2-22-12-222-111-2-2-22-2200-11−i3i3−i3i3-1-12-22-21111-1-1−2i2i2i−2i00000000-11-11−i3i3−i3i3−i3i3−i3i3−2i2ii−i−ii000000000000i−i−33−330000000000
χ552-2-22-12-222-111-2-2-22-2200-11i3−i3i3−i3-1-12-22-21111-1-12i−2i−2i2i00000000-11-11i3−i3i3−i3i3−i3i3−i32i−2i−iii−i000000000000−ii−33−330000000000
χ562-2-22-12-222-111-2-2-22-2200-11i3−i3i3−i3-1-12-22-21111-1-1−2i2i2i−2i00000000-11-11i3−i3i3−i3i3−i3i3−i3−2i2ii−i−ii000000000000i−i3−33−30000000000
χ572-2-22-1-2222-111-2-2-22-22001-1−i3i3i3−i3-1-1-22-221111-1-12i−2i−2i2i000000001-11-1−i3i3−i3i3i3−i3i3−i3−2i2i−iii−i000000000000i−i3−3−330000000000
χ582-2-22-1-2222-111-2-2-22-22001-1−i3i3i3−i3-1-1-22-221111-1-1−2i2i2i−2i000000001-11-1−i3i3−i3i3i3−i3i3−i32i−2ii−i−ii000000000000−ii−333−30000000000
χ592-2-22-1-2222-111-2-2-22-22001-1i3−i3−i3i3-1-1-22-221111-1-12i−2i−2i2i000000001-11-1i3−i3i3−i3−i3i3−i3i3−2i2i−iii−i000000000000i−i−333−30000000000
χ602-2-22-1-2222-111-2-2-22-22001-1i3−i3−i3i3-1-1-22-221111-1-1−2i2i2i−2i000000001-11-1i3−i3i3−i3−i3i3−i3i32i−2ii−i−ii000000000000−ii3−3−330000000000
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+51−51+521+521−521−52−1−52−1−52−1+52−1+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+51−521−521+521+52−1+52−1+52−1−52−1−52−1+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+54-422-2-2221+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+521+521+521−521−52−1−52−1−52−1+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+5-442222-2-21+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+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+5−1−5−1−54-422-2-2221−521+521−51−51+51+51−521−521+521+521−521+5200000000−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521−521+521+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+5−1−5−1−5-442222-2-21−521+521−51−51+51+51−521−521+521+521−521+52000000001−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000
χ6944-4-4400−1−5−1+5-44-4−1−5−1+51+51+51−51−500000000−1−5−1+50000−1−51+5−1+51−51+51−500004-400000000000000000000000000−1−51+5−1+51−50000000000000000000000
χ7044-4-4400−1−5−1+5-44-4−1−5−1+51+51+51−51−500000000−1−5−1+50000−1−51+5−1+51−51+51−50000-44000000000000000000000000001+5−1−51−5−1+50000000000000000000000
χ7144-4-4400−1+5−1−5-44-4−1+5−1−51−51−51+51+500000000−1+5−1−50000−1+51−5−1−51+51−51+500004-400000000000000000000000000−1+51−5−1−51+50000000000000000000000
χ7244-4-4400−1+5−1−5-44-4−1+5−1−51−51−51+51+500000000−1+5−1−50000−1+51−5−1−51+51−51+50000-44000000000000000000000000001−5−1+51+5−1−50000000000000000000000
χ7344-4-4-200442-2244-4-4-4-400000000-2-20000-22-222244-4-40000000000000000000000-2-2220000000000000000000000000000
χ7444-4-4-200442-2244-4-4-4-400000000-2-20000-22-2222-4-444000000000000000000000022-2-20000000000000000000000000000
χ754-44-4400−1−5−1+5-4-441+51−5−1−51+5−1+51−500000000−1−5−1+500001+5−1−51−5−1+51+51−50000004i−4i0000000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000
χ764-44-4400−1−5−1+5-4-441+51−5−1−51+5−1+51−500000000−1−5−1+500001+5−1−51−5−1+51+51−5000000−4i4i00000000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000
χ774-44-4400−1+5−1−5-4-441−51+5−1+51−5−1−51+500000000−1+5−1−500001−5−1+51+5−1−51−51+50000004i−4i0000000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000
χ784-44-4400−1+5−1−5-4-441−51+5−1+51−5−1−51+500000000−1+5−1−500001−5−1+51+5−1−51−51+5000000−4i4i00000000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000
χ794-44-4-2004422-2-4-44-44-400000000-2-200002-22-2224i−4i4i−4i0000000000000000000000−2i2i−2i2i0000000000000000000000000000
χ804-44-4-2004422-2-4-44-44-400000000-2-200002-22-222−4i4i−4i4i00000000000000000000002i−2i2i−2i0000000000000000000000000000
χ814-4-4444-4−1−5−1+54-4-41+51−51+5−1−51−5−1+5004-40000−1−5−1+5−1−51+5−1+51−51+51+51−51−5−1−5−1+5000000000000−1−51+5−1+51−5000000000000000000000000000000000000000000
χ824-4-4444-4−1+5−1−54-4-41−51+51−5−1+51+5−1−5004-40000−1+5−1−5−1+51−5−1−51+51−51−51+51+5−1+5−1−5000000000000−1+51−5−1−51+5000000000000000000000000000000000000000000
χ834-4-444-44−1−5−1+54-4-41+51−51+5−1−51−5−1+500-440000−1−5−1+51+5−1−51−5−1+51+51+51−51−5−1−5−1+50000000000001+5−1−51−5−1+5000000000000000000000000000000000000000000
χ844-4-444-44−1+5−1−54-4-41−51+51−5−1+51+5−1−500-440000−1+5−1−51−5−1+51+5−1−51−51−51+51+5−1+5−1−50000000000001−5−1+51+5−1−5000000000000000000000000000000000000000000
χ854-4-44-24-4−1−5−1+5-2221+51−51+5−1−51−5−1+500-22−2i32i3−2i32i31+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−520000000000001+52−1−521−52−1+52ζ14+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+ζ580000000000000000000000000000000000
χ864-4-44-24-4−1−5−1+5-2221+51−51+5−1−51−5−1+500-222i3−2i32i3−2i31+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−520000000000001+52−1−521−52−1+52−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−ζ580000000000000000000000000000000000
χ874-4-44-24-4−1+5−1−5-2221−51+51−5−1+51+5−1−500-22−2i32i3−2i32i31−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+520000000000001−52−1+521+52−1−52ζ2−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+ζ460000000000000000000000000000000000
χ884-4-44-24-4−1+5−1−5-2221−51+51−5−1+51+5−1−500-222i3−2i32i3−2i31−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+520000000000001−52−1+521+52−1−52−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−ζ460000000000000000000000000000000000
χ894-4-44-2-44−1−5−1+5-2221+51−51+5−1−51−5−1+5002-2−2i32i32i3−2i31+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−52000000000000−1−521+52−1+521−52ζ14+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−ζ580000000000000000000000000000000000
χ904-4-44-2-44−1−5−1+5-2221+51−51+5−1−51−5−1+5002-22i3−2i3−2i32i31+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−52000000000000−1−521+52−1+521−52−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+ζ580000000000000000000000000000000000
χ914-4-44-2-44−1+5−1−5-2221−51+51−5−1+51+5−1−5002-2−2i32i32i3−2i31−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+52000000000000−1+521−52−1−521+52ζ2−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−ζ460000000000000000000000000000000000
χ924-4-44-2-44−1+5−1−5-2221−51+51−5−1+51+5−1−5002-22i3−2i3−2i32i31−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+52000000000000−1+521−52−1−521+52−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+ζ460000000000000000000000000000000000
χ9388-8-8-400−2−25−2+254-44−2−25−2+252+252+252−252−25000000001+51−500001+5−1−51−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000
χ9488-8-8-400−2+25−2−254-44−2+25−2−252−252−252+252+25000000001−51+500001−5−1+51+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000
χ958-88-8-400−2−25−2+2544-42+252−25−2−252+25−2+252−25000000001+51−50000−1−51+5−1+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000
χ968-88-8-400−2+25−2−2544-42−252+25−2+252−25−2−252+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.