Finite Group Databasebeta

← Group #11753509

Character table — Group #11753509

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222224444444444444444666688888888888888888810101010121212121212121212121515151520202020202024242424303040406060
order12223445566610101010101044121215152020202030303030303044441212202020206060606060606060606060602244242020202020202020444424661212101020204461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111111111-1-11111-1-1-1-111-1-1-1-1
χ6111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ8111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1
χ911111-1-1111111111111-1-1-111-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-1111111111-111-1-1-1-111-1-11-1-11
χ1011111-1-1111111111111-1-1-111-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-11111-1-1-1-1-11-1-111-1-11111-111-1
χ1111111-1-1111111111111-1-1-111-1-1-1-1111111-1-111-1111-1-1-1-1-1-1-1-1-1-1111111-1-11-11111-1-1-1-1-1-1-1-11-111-1-111-1-1111-11-1
χ1211111-1-1111111111111-1-1-111-1-1-1-1111111-1-111-1111-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-1-1-11111-11-1-11111-1-1-1-1-11-11
χ1311111-1-111111111111-11-1-111-1-1-1-111111111-1-11-1-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111111111-1111-1-111-1-1-1-1-111-1
χ1411111-1-111111111111-11-1-111-1-1-1-111111111-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1111-1-11
χ1511111-1-111111111111-11-1-111-1-1-1-1111111-1-1111-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11-11
χ1611111-1-111111111111-11-1-111-1-1-1-1111111-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-111111-1-1-111-1-111-1-11-11-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+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+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000−1−52−1+52−1−52−1+52000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+521+521−521−521+521+521−521−5200000000001+521−521+521−52000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000001+521−521+521−52000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000221+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+52000000
χ212222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−52−1+52−1−52000000
χ222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521−521+521+521−521−521+521+5200000000001−521+521−521+52000000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+521−521+52000000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000221−521−521+521+521−521−521+521+520000000000−1+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+522-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-22−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000-221+521+521−521−52−1−52−1−52−1+52−1+5200000000001+521−52−1−52−1+52000000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-22−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200002-2−1−52−1−52−1+52−1+521+521+521−521−520000000000−1−52−1+521+521−52000000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+5222-2-22-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002-21+521+521−521−52−1−52−1−52−1+52−1+520000000000−1−52−1+521+521−52000000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-2222-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-22−1−52−1−52−1+52−1+521+521+521−521−5200000000001+521−52−1−52−1+52000000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-22−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000-221−521−521+521+52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−52000000
χ3022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-22−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200002-2−1+52−1+52−1−52−1−521−521−521+521+520000000000−1+52−1−521−521+52000000
χ3122222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−5222-2-22-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200002-21−521−521+521+52−1+52−1+52−1−52−1−520000000000−1+52−1−521−521+52000000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-2222-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000-22−1+52−1+52−1−52−1−521−521−521+521+5200000000001−521+52−1+52−1−52000000
χ332222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000000022-1-1-1-1000000-1-100
χ342222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000000-2-211110000001100
χ352222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1000011-2-2-2-21111-1-1-1-11111222200000000000000-2-2-1-1-1-10000001100
χ362222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1000011-2-2-2-21111-1-1-1-11111-2-2-2-200000000000000221111000000-1-100
χ372222-1-2-222-1-1-12222222-211-1-1-2-2-2-2-1-1-1-1-1-100001-122-2-211111111-1-1-1-122-2-2000000000000002-2-1-111000000-1100
χ382222-1-2-222-1-1-12222222-211-1-1-2-2-2-2-1-1-1-1-1-100001-122-2-211111111-1-1-1-1-2-22200000000000000-2211-1-10000001-100
χ392222-1-2-222-1-1-1222222-2211-1-1-2-2-2-2-1-1-1-1-1-10000-11-2-222-1-1-1-11111111122-2-200000000000000-22-1-1110000001-100
χ402222-1-2-222-1-1-1222222-2211-1-1-2-2-2-2-1-1-1-1-1-10000-11-2-222-1-1-1-111111111-2-222000000000000002-211-1-1000000-1100
χ4122-2-220022-2-2222-2-2-2-20000220000-2-2-2-2222i−2i000000000000000000002-2000000002i−2i2i−2i2i2i−2i−2i002-2000000000000
χ4222-2-220022-2-2222-2-2-2-20000220000-2-2-2-2222i−2i00000000000000000000-22000000002i−2i2i−2i−2i−2i2i2i00-22000000000000
χ4322-2-220022-2-2222-2-2-2-20000220000-2-2-2-222−2i2i000000000000000000002-200000000−2i2i−2i2i−2i−2i2i2i002-2000000000000
χ4422-2-220022-2-2222-2-2-2-20000220000-2-2-2-222−2i2i00000000000000000000-2200000000−2i2i−2i2i2i2i−2i−2i00-22000000000000
χ452-22-220022-22-2-2-2-2-222000022000022-2-2-2-2002i−2i000000000000000000002i−2i002i−2i2i−2i00002-22-200002i−2i0000000000
χ462-22-220022-22-2-2-2-2-222000022000022-2-2-2-2002i−2i00000000000000000000−2i2i002i−2i2i−2i0000-22-220000−2i2i0000000000
χ472-22-220022-22-2-2-2-2-222000022000022-2-2-2-200−2i2i000000000000000000002i−2i00−2i2i−2i2i0000-22-2200002i−2i0000000000
χ482-22-220022-22-2-2-2-2-222000022000022-2-2-2-200−2i2i00000000000000000000−2i2i00−2i2i−2i2i00002-22-20000−2i2i0000000000
χ492-2-2222i−2i222-2-2-2-222-2-2002i−2i222i−2i2i−2i-2-222-2-2000000000000002i−2i2i−2i0000000000000000002i−2i−2i2i00000000002-20000
χ502-2-2222i−2i222-2-2-2-222-2-2002i−2i222i−2i2i−2i-2-222-2-2000000000000002i−2i2i−2i000000000000000000−2i2i2i−2i0000000000-220000
χ512-2-222−2i2i222-2-2-2-222-2-200−2i2i22−2i2i−2i2i-2-222-2-200000000000000−2i2i−2i2i0000000000000000002i−2i−2i2i0000000000-220000
χ522-2-222−2i2i222-2-2-2-222-2-200−2i2i22−2i2i−2i2i-2-222-2-200000000000000−2i2i−2i2i000000000000000000−2i2i2i−2i00000000002-20000
χ534444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521−521+521−520000-2-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000000000000000000
χ544444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521−521+521−520000221+51−51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ554444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−544-2-21−521+52−1+5−1+5−1−5−1−51−521+521−521+521−521+520000-2-2−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+520000000000000000000000000000000000
χ564444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-4-2-21−521+52−1+5−1+5−1−5−1−51−521+521−521+521−521+520000221−51+51−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000
χ574444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+54-4221+521−521+51+51−51−51+521−521+521−521+521−5200002-2−1−5−1+51+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000
χ584444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-44221+521−521+51+51−51−51+521−521+521−521+521−520000-221+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
χ594444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−54-4221−521+521−51−51+51+51−521+521−521+521−521+5200002-2−1+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
χ604444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-44221−521+521−51−51+51+51−521+521−521+521−521+520000-221−51+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
χ6144-4-4400−1−5−1+5-4-44−1−5−1+51+51−51+51−50000−1−5−1+500001+51−51+51−5−1−5−1+54i−4i000000000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000
χ6244-4-4400−1−5−1+5-4-44−1−5−1+51+51−51+51−50000−1−5−1+500001+51−51+51−5−1−5−1+5−4i4i0000000000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000
χ6344-4-4400−1+5−1−5-4-44−1+5−1−51−51+51−51+50000−1+5−1−500001−51+51−51+5−1+5−1−54i−4i000000000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000
χ6444-4-4400−1+5−1−5-4-44−1+5−1−51−51+51−51+50000−1+5−1−500001−51+51−51+5−1+5−1−5−4i4i0000000000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000
χ6544-4-4-2004422-244-4-4-4-40000-2-200002222-2-200000000000000000000004-4000000000000000000-22000000000000
χ6644-4-4-2004422-244-4-4-4-40000-2-200002222-2-20000000000000000000000-440000000000000000002-2000000000000
χ674-44-4400−1−5−1+5-44-41+51−51+51−5−1−5−1+50000−1−5−1+50000−1−5−1+51+51−51+51−5004i−4i000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000
χ684-44-4400−1−5−1+5-44-41+51−51+51−5−1−5−1+50000−1−5−1+50000−1−5−1+51+51−51+51−500−4i4i0000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000000000
χ694-44-4400−1+5−1−5-44-41−51+51−51+5−1+5−1−50000−1+5−1−50000−1+5−1−51−51+51−51+5004i−4i000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000
χ704-44-4400−1+5−1−5-44-41−51+51−51+5−1+5−1−50000−1+5−1−50000−1+5−1−51−51+51−51+500−4i4i0000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000000000
χ714-44-4-200442-22-4-4-4-4440000-2-20000-2-222220000000000000000000000004i−4i000000000000000000−2i2i0000000000
χ724-44-4-200442-22-4-4-4-4440000-2-20000-2-22222000000000000000000000000−4i4i0000000000000000002i−2i0000000000
χ734-4-4444i−4i−1−5−1+54-4-41+51−5−1−5−1+51+51−5004i−4i−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+51−5−1−5−1+51+51−500000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000
χ744-4-4444i−4i−1+5−1−54-4-41−51+5−1+5−1−51−51+5004i−4i−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+500000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000
χ754-4-444−4i4i−1−5−1+54-4-41+51−5−1−5−1+51+51−500−4i4i−1−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+51−5−1−5−1+51+51−5000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000
χ764-4-444−4i4i−1+5−1−54-4-41−51+5−1+5−1−51−51+500−4i4i−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+5000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000
χ774-4-44-24i−4i44-222-4-444-4-400−2i2i-2-24i−4i4i−4i22-2-22200000000000000−2i2i−2i2i00000000000000000000000000000000000000
χ784-4-44-24i−4i−1−5−1+5-2221+51−5−1−5−1+51+51−500−2i2i1+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+520000000000ζ14−ζ26−ζ34+ζ46−ζ14+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
χ794-4-44-24i−4i−1−5−1+5-2221+51−5−1−5−1+51+51−500−2i2i1+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+520000000000−ζ14+ζ26+ζ34−ζ46ζ14−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
χ804-4-44-24i−4i−1+5−1−5-2221−51+5−1+5−1−51−51+500−2i2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+52−1−521−521+52−1+52−1−520000000000−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−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000000000000000000000000
χ814-4-44-24i−4i−1+5−1−5-2221−51+5−1+5−1−51−51+500−2i2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+52−1−521−521+52−1+52−1−520000000000ζ2−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+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000000000000000000000000
χ824-4-44-2−4i4i44-222-4-444-4-4002i−2i-2-2−4i4i−4i4i22-2-222000000000000002i−2i2i−2i00000000000000000000000000000000000000
χ834-4-44-2−4i4i−1−5−1+5-2221+51−5−1−5−1+51+51−5002i−2i1+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+520000000000ζ14−ζ26−ζ34+ζ46−ζ14+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
χ844-4-44-2−4i4i−1−5−1+5-2221+51−5−1−5−1+51+51−5002i−2i1+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+520000000000−ζ14+ζ26+ζ34−ζ46ζ14−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
χ854-4-44-2−4i4i−1+5−1−5-2221−51+5−1+5−1−51−51+5002i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+52−1−521−521+52−1+52−1−520000000000−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+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000000000000000000000000
χ864-4-44-2−4i4i−1+5−1−5-2221−51+5−1+5−1−51−51+5002i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+52−1−521−521+52−1+52−1−520000000000ζ2−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−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000000000000000000000000
χ8788-8-8-400−2−25−2+2544-4−2−25−2+252+252−252+252−2500001+51−50000−1−5−1+5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000
χ8888-8-8-400−2+25−2−2544-4−2+25−2−252−252+252−252+2500001−51+50000−1+5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000
χ898-88-8-400−2−25−2+254-442+252−252+252−25−2−25−2+2500001+51−500001+51−5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000
χ908-88-8-400−2+25−2−254-442−252+252−252+25−2+25−2−2500001−51+500001−51+5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000

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