Finite Group Databasebeta

← Group #11753087

Character table — Group #11753087

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888101010101010101012121212121212121212121220202020202020202424242460606060
order122234455666101010101010246612121212151520202020303030303030101020203030303060606060606060602244666624442020202020202020246612121212101020202444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1
χ6111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-11
χ7111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-11
χ8111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-111-1
χ911111-1-1111111111111-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-111111-11-1-1-1-1-111111-111-1-1-1-111-1-1-11-11
χ1011111-1-1111111111111-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-11-111111-1-1-1-11-111-1-1-1-1-1-1111-11-1
χ1111111-1-1111111111111-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1-1-1-11111-11-1-1111111-1-11-11-1
χ1211111-1-1111111111111-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111111-1-1-1-1-11-1-11111-1-111-11-11
χ1311111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-111111-1-1-1-1-11-1-1-1-11111-1-111-1-1
χ1411111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-11111-111-1-1-1-1-11111-11-1-1-1-111-1-111-1-111
χ1511111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-111111-1-1-1-11-11111-1-111-1-1-1-111
χ1611111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-111111-11111-1-1-1-11111-1-1
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+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+52−1+52000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+520000
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+52−1−52−1+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+5200000000-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−520000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000022-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+520000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−520000
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+52−1−52−1−52−1+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+52−1−52−1−52000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−520000
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+52−1−52−1−52−1+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+52−1−52−1−5200000000-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+520000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000022-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−520000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+520000
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+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000002-22-21+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−520000
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+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000-22-22−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+520000
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+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000002-2-22−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−520000
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+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000-222-21+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+520000
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+52−1−52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000002-22-21−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+520000
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+52−1−52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000-22-22−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−520000
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+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000002-2-22−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+520000
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+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000-222-21−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−520000
χ332222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000000022-1-1-1-1-1-100000000
χ342222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000000000000-2-211111100000000
χ352222-12222-1-1-1222222-2-211-1-111-1-12222-1-1-1-1-1-1-2-2-2-21111-1-1-1-111112222-1-1-1-1000000000000-2-211-1-11100000000
χ362222-12222-1-1-1222222-2-211-1-111-1-12222-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111-2-2-2-2111100000000000022-1-111-1-100000000
χ372222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-122-2-2-1-1-1-11111111122-2-2-1-1-1-10000000000002-2-1-1111100000000
χ382222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-122-2-2-1-1-1-111111111-2-2221111000000000000-2211-1-1-1-100000000
χ392222-1-2-222-1-1-1222222-221111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-22211111111-1-1-1-122-2-2-1-1-1-1000000000000-221111-1-100000000
χ402222-1-2-222-1-1-1222222-221111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-22211110000000000002-2-1-1-1-11100000000
χ412-22-222i−2i222-2-2-2-222-2-200002i−2i00222i−2i2i−2i22-2-2-2-2000000002i−2i2i−2i00002-22i−2i22-2-200000000000000002i−2i0000000000
χ422-22-222i−2i222-2-2-2-222-2-200002i−2i00222i−2i2i−2i22-2-2-2-2000000002i−2i2i−2i0000-22−2i2i-2-2220000000000000000−2i2i0000000000
χ432-22-22−2i2i222-2-2-2-222-2-20000−2i2i0022−2i2i−2i2i22-2-2-2-200000000−2i2i−2i2i00002-2−2i2i22-2-20000000000000000−2i2i0000000000
χ442-22-22−2i2i222-2-2-2-222-2-20000−2i2i0022−2i2i−2i2i22-2-2-2-200000000−2i2i−2i2i0000-222i−2i-2-22200000000000000002i−2i0000000000
χ452-22-2-12i−2i22-111-2-222-2-200−i3i3−ii3−3-1-12i−2i2i−2i-1-111110000−i3i3−i3i3−ii−ii3−33−32-22i−2i-1-11100000000000000−i3i3−ii3−300000000
χ462-22-2-12i−2i22-111-2-222-2-200−i3i3−ii3−3-1-12i−2i2i−2i-1-111110000−i3i3−i3i3−ii−ii3−33−3-22−2i2i11-1-100000000000000i3−i3i−i−3300000000
χ472-22-2-12i−2i22-111-2-222-2-200i3−i3−ii−33-1-12i−2i2i−2i-1-111110000i3−i3i3−i3−ii−ii−33−332-22i−2i-1-11100000000000000i3−i3−ii−3300000000
χ482-22-2-12i−2i22-111-2-222-2-200i3−i3−ii−33-1-12i−2i2i−2i-1-111110000i3−i3i3−i3−ii−ii−33−33-22−2i2i11-1-100000000000000−i3i3i−i3−300000000
χ492-22-2-1−2i2i22-111-2-222-2-200−i3i3i−i−33-1-1−2i2i−2i2i-1-111110000−i3i3−i3i3i−ii−i−33−332-2−2i2i-1-11100000000000000−i3i3i−i−3300000000
χ502-22-2-1−2i2i22-111-2-222-2-200−i3i3i−i−33-1-1−2i2i−2i2i-1-111110000−i3i3−i3i3i−ii−i−33−33-222i−2i11-1-100000000000000i3−i3−ii3−300000000
χ512-22-2-1−2i2i22-111-2-222-2-200i3−i3i−i3−3-1-1−2i2i−2i2i-1-111110000i3−i3i3−i3i−ii−i3−33−32-2−2i2i-1-11100000000000000i3−i3i−i3−300000000
χ522-22-2-1−2i2i22-111-2-222-2-200i3−i3i−i3−3-1-1−2i2i−2i2i-1-111110000i3−i3i3−i3i−ii−i3−33−3-222i−2i11-1-100000000000000−i3i3−ii−3300000000
χ534444-244−1−5−1+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+521−521−52−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000000000000000
χ544444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-422-2-2221+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−521+51−51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ554444-244−1+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+52−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000000000000000
χ564444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-422-2-2221−521+52−1+5−1+5−1−5−1−51−521+521−521−521+521+521−51+51−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
χ574444-2-4-4−1−5−1+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+521−521−52−1−5−1+51+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ584444-2-4-4−1−5−1+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+521−521−521+51−5−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000000000000
χ594444-2-4-4−1+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+52−1+5−1−51−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
χ604444-2-4-4−1+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+521−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000000000000
χ6144-4-440044-44-4-4-4-4-44400000000440000-4-44-44-40000000000000000000000000000000000000000000000000000
χ6244-4-4400−1−5−1+5-44-41+51−51+51−5−1−5−1+500000000−1−5−1+500001+51−5−1−51+5−1+51−500000000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000
χ6344-4-4400−1−5−1+5-44-41+51−51+51−5−1−5−1+500000000−1−5−1+500001+51−5−1−51+5−1+51−5000000000000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000
χ6444-4-4400−1+5−1−5-44-41−51+51−51+5−1+5−1−500000000−1+5−1−500001−51+5−1+51−5−1−51+5000000000000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000
χ6544-4-4400−1+5−1−5-44-41−51+51−51+5−1+5−1−500000000−1+5−1−500001−51+5−1+51−5−1−51+500000000000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000
χ6644-4-4-200442-22-4-4-4-44400000000-2-2000022-22-2200000000000000000000−2i32i3−2i32i30000000000000000000000000000
χ6744-4-4-200442-22-4-4-4-44400000000-2-2000022-22-22000000000000000000002i3−2i32i3−2i30000000000000000000000000000
χ684-44-444i−4i−1−5−1+54-4-41+51−5−1−5−1+51+51−500004i−4i00−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−5−1+51+51+51−51−500000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000000000000000000000
χ694-44-444i−4i−1+5−1−54-4-41−51+5−1+5−1−51−51+500004i−4i00−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+5−1−51−51−51+51+500000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000000000000000000000000000
χ704-44-44−4i4i−1−5−1+54-4-41+51−5−1−5−1+51+51−50000−4i4i00−1−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−5−1+51+51+51−51−5000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000000000000000000
χ714-44-44−4i4i−1+5−1−54-4-41−51+5−1+5−1−51−51+50000−4i4i00−1+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+5−1−51−51−51+51+5000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000000000000000000000
χ724-44-4-24i−4i−1−5−1+5-2221+51−5−1−5−1+51+51−500−2i32i3−2i2i23−231+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1−52−1+52−1+520000ζ14+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+ζ47000000000000000000000000000000000000
χ734-44-4-24i−4i−1−5−1+5-2221+51−5−1−5−1+51+51−5002i3−2i3−2i2i−23231+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1−52−1+52−1+520000−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−ζ47000000000000000000000000000000000000
χ744-44-4-24i−4i−1+5−1−5-2221−51+5−1+5−1−51−51+500−2i32i3−2i2i23−231−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−520000ζ2−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+ζ59000000000000000000000000000000000000
χ754-44-4-24i−4i−1+5−1−5-2221−51+5−1+5−1−51−51+5002i3−2i3−2i2i−23231−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−520000−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−ζ59000000000000000000000000000000000000
χ764-44-4-2−4i4i−1−5−1+5-2221+51−5−1−5−1+51+51−500−2i32i32i−2i−23231+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1−52−1+52−1+520000ζ14+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−ζ47000000000000000000000000000000000000
χ774-44-4-2−4i4i−1−5−1+5-2221+51−5−1−5−1+51+51−5002i3−2i32i−2i23−231+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1−52−1+52−1+520000−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+ζ47000000000000000000000000000000000000
χ784-44-4-2−4i4i−1+5−1−5-2221−51+5−1+5−1−51−51+500−2i32i32i−2i−23231−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1+52−1−52−1−520000ζ2−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−ζ59000000000000000000000000000000000000
χ794-44-4-2−4i4i−1+5−1−5-2221−51+5−1+5−1−51−51+5002i3−2i32i−2i23−231−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1+52−1−52−1−520000−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+ζ59000000000000000000000000000000000000
χ804-4-4440044-4-4444-4-4-4-400000000440000-4-4-44-440000000000000000000000000000000000000000000000000000
χ814-4-44400−1−5−1+5-4-44−1−5−1+51+51−51+51−500000000−1−5−1+500001+51−51+5−1−51−5−1+50000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000
χ824-4-44400−1−5−1+5-4-44−1−5−1+51+51−51+51−500000000−1−5−1+500001+51−51+5−1−51−5−1+500000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000
χ834-4-44400−1+5−1−5-4-44−1+5−1−51−51+51−51+500000000−1+5−1−500001−51+51−5−1+51+5−1−500000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000
χ844-4-44400−1+5−1−5-4-44−1+5−1−51−51+51−51+500000000−1+5−1−500001−51+51−5−1+51+5−1−50000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000
χ854-4-44-2004422-244-4-4-4-400000000-2-20000222-22-200000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ864-4-44-2004422-244-4-4-4-400000000-2-20000222-22-2000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ8788-8-8-400−2−25−2+254-442+252−252+252−25−2−25−2+25000000001+51−50000−1−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000
χ8888-8-8-400−2+25−2−254-442−252+252−252+25−2+25−2−25000000001−51+50000−1+5−1−51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000
χ898-8-88-400−2−25−2+2544-4−2−25−2+252+252−252+252−25000000001+51−50000−1−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
χ908-8-88-400−2+25−2−2544-4−2+25−2−252−252+252−252+25000000001−51+50000−1+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000

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