Finite Group Databasebeta

← Group #11752826

Character table — Group #11752826

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222444444446666121222224444448888888812121212242422224444448888888812121212242455551010101010102020202020202020303030306060
order122222366644661212121244444451010101010153030302020303060606060202020202020510101010101530303020203030606060602020202020202222226666446612121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1
χ41111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ51111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-1
χ61111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-11
χ71111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-11
χ81111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-1
χ9222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000
χ10222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000
χ112222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-111000000
χ122222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-1000000
χ1322-2-22-222-2-2002-2000000000022-2-22-222-2-2002-2000000000022-2-22-222-2-2002-2000000000022-2-22-222-2-2002-20000000000
χ1422-2-22-2-1-11100-113−33−300000022-2-22-2-1-11100-113−33−300000022-2-22-2-1-11100-113−33−300000022-2-22-2-1-11100-113−33−3000000
χ1522-2-22-2-1-11100-11−33−3300000022-2-22-2-1-11100-11−33−3300000022-2-22-2-1-11100-11−33−3300000022-2-22-2-1-11100-11−33−33000000
χ1622-2-2-2222-2-200-22000000000022-2-2-2222-2-200-22000000000022-2-2-2222-2-200-22000000000022-2-2-2222-2-200-220000000000
χ1722-2-2-22-1-111001-13−3−3300000022-2-2-22-1-111001-13−3−3300000022-2-2-22-1-111001-13−3−3300000022-2-2-22-1-111001-13−3−33000000
χ1822-2-2-22-1-111001-1−333−300000022-2-2-22-1-111001-1−333−300000022-2-2-22-1-111001-1−333−300000022-2-2-22-1-111001-1−333−3000000
χ192-22-2002-22-200000000002i−2i002-22-2002-22-200000000002i−2i002-22-2002-22-200000000002i−2i002-22-2002-22-200000000002i−2i00
χ202-22-2002-22-20000000000−2i2i002-22-2002-22-20000000000−2i2i002-22-2002-22-20000000000−2i2i002-22-2002-22-20000000000−2i2i00
χ212-2-22002-2-22000000002-200002-2-22002-2-22000000002-200002-2-22002-2-22000000002-200002-2-22002-2-22000000002-20000
χ222-2-22002-2-2200000000-2200002-2-22002-2-2200000000-2200002-2-22002-2-2200000000-2200002-2-22002-2-2200000000-220000
χ234-44-400-22-22000000000000004-44-400-22-22000000000000004-44-400-22-22000000000000004-44-400-22-2200000000000000
χ244-4-4400-222-2000000000000004-4-4400-222-2000000000000004-4-4400-222-2000000000000004-4-4400-222-200000000000000
χ25111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ271111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ281111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ291111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-1-1-1-1-111-1-1-1-1-1111-1-111-1-111-11
χ301111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-11-1-1-1-111-1-1-1-1-1111-1-11111-1-11-1
χ311111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-11-11111-1-1-1-1111-1
χ321111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-1-1-1-1-111-1-1-1-11-11111-1-111-1-1-11
χ33222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000-2-2-2-2-2-21111-2-2111111000000
χ34222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000-2-2-2-2-2-211112211-1-1-1-1000000
χ352222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-111000000-2-2-2-2221111-22-1-111-1-1000000
χ362222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-1000000-2-2-2-22211112-2-1-1-1-111000000
χ3722-2-22-222-2-2002-2000000000022-2-22-222-2-2002-2000000000022-2-22-222-2-2002-20000000000-2-222-22-2-22200-220000000000
χ3822-2-22-2-1-11100-113−33−300000022-2-22-2-1-11100-113−33−300000022-2-22-2-1-11100-113−33−3000000-2-222-2211-1-1001-1−33−33000000
χ3922-2-22-2-1-11100-11−33−3300000022-2-22-2-1-11100-11−33−3300000022-2-22-2-1-11100-11−33−33000000-2-222-2211-1-1001-13−33−3000000
χ4022-2-2-2222-2-200-22000000000022-2-2-2222-2-200-22000000000022-2-2-2222-2-200-220000000000-2-2222-2-2-222002-20000000000
χ4122-2-2-22-1-111001-13−3−3300000022-2-2-22-1-111001-13−3−3300000022-2-2-22-1-111001-13−3−33000000-2-2222-211-1-100-11−333−3000000
χ4222-2-2-22-1-111001-1−333−300000022-2-2-22-1-111001-1−333−300000022-2-2-22-1-111001-1−333−3000000-2-2222-211-1-100-113−3−33000000
χ432-22-2002-22-200000000002i−2i002-22-2002-22-200000000002i−2i002-22-2002-22-200000000002i−2i00-22-2200-22-220000000000−2i2i00
χ442-22-2002-22-20000000000−2i2i002-22-2002-22-20000000000−2i2i002-22-2002-22-20000000000−2i2i00-22-2200-22-2200000000002i−2i00
χ452-2-22002-2-22000000002-200002-2-22002-2-22000000002-200002-2-22002-2-22000000002-20000-222-200-222-200000000-220000
χ462-2-22002-2-2200000000-2200002-2-22002-2-2200000000-2200002-2-22002-2-2200000000-220000-222-200-222-2000000002-20000
χ474-44-400-22-22000000000000004-44-400-22-22000000000000004-44-400-22-2200000000000000-44-44002-22-200000000000000
χ484-4-4400-222-2000000000000004-4-4400-222-2000000000000004-4-4400-222-200000000000000-444-4002-2-2200000000000000
χ49222222222222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000
χ50222222222222222222-2-2-2-2-2-2−1+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+52−1+52−1+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52000000000000000000000000
χ512222222222-2-222-2-2-2-22222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+52000000000000000000000000
χ522222222222-2-222-2-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52000000000000000000000000
χ532222-2-222222-2-2-222-2-222-2-22-2−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52000000000000000000000000
χ542222-2-222222-2-2-222-2-2-2-222-22−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52000000000000000000000000
χ552222-2-22222-22-2-2-2-22222-2-2-22−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52000000000000000000000000
χ562222-2-22222-22-2-2-2-222-2-2222-2−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+52000000000000000000000000
χ57444444-2-2-2-244-2-2-2-2-2-2000000−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−52−1+5−1+51−521−521−521−521−521−52000000−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+52−1−5−1−51+521+521+521+521+521+52000000000000000000000000000000
χ58444444-2-2-2-2-4-4-2-22222000000−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−521−51−51−521−52−1+52−1+52−1+52−1+52000000−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+521+51+51+521+52−1−52−1−52−1−52−1−52000000000000000000000000000000
χ594444-4-4-2-2-2-24-422-2-222000000−1+5−1+5−1+5−1+51−51−51−521−521−521−52−1+51−5−1+52−1+521−521−52−1+52−1+52000000−1−5−1−5−1−5−1−51+51+51+521+521+521+52−1−51+5−1−52−1−521+521+52−1−52−1−52000000000000000000000000000000
χ604444-4-4-2-2-2-2-442222-2-2000000−1+5−1+5−1+5−1+51−51−51−521−521−521−521−5−1+5−1+52−1+52−1+52−1+521−521−52000000−1−5−1−5−1−5−1−51+51+51+521+521+521+521+5−1−5−1−52−1−52−1−52−1−521+521+52000000000000000000000000000000
χ6144-4-44-444-4-4004-40000000000−1+5−1+51−51−5−1+51−5−1+5−1+51−51−500−1+51−50000000000−1−5−1−51+51+5−1−51+5−1−5−1−51+51+500−1−51+50000000000000000000000000000000000
χ6244-4-44-4-2-22200-2223−2323−23000000−1+5−1+51−51−5−1+51−51−521−52−1+52−1+52001−52−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000−1−5−1−51+51+5−1−51+51+521+52−1−52−1−52001+52−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000
χ6344-4-44-4-2-22200-22−2323−2323000000−1+5−1+51−51−5−1+51−51−521−52−1+52−1+52001−52−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000−1−5−1−51+51+5−1−51+51+521+52−1−52−1−52001+52−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000
χ6444-4-4-4444-4-400-440000000000−1+5−1+51−51−51−5−1+5−1+5−1+51−51−5001−5−1+50000000000−1−5−1−51+51+51+5−1−5−1−5−1−51+51+5001+5−1−50000000000000000000000000000000000
χ6544-4-4-44-2-222002-223−23−2323000000−1+5−1+51−51−51−5−1+51−521−52−1+52−1+5200−1+521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000−1−5−1−51+51+51+5−1−51+521+52−1−52−1−5200−1−521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000
χ6644-4-4-44-2-222002-2−232323−23000000−1+5−1+51−51−51−5−1+51−521−52−1+52−1+5200−1+521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000−1−5−1−51+51+51+5−1−51+521+52−1−52−1−5200−1−521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000
χ674-44-4004-44-400000000004i−4i00−1+51−5−1+51−500−1+51−5−1+51−50000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700−1−51+5−1−51+500−1−51+5−1−51+50000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000
χ684-44-4004-44-40000000000−4i4i00−1+51−5−1+51−500−1+51−5−1+51−500000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700−1−51+5−1−51+500−1−51+5−1−51+500000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000
χ694-4-44004-4-44000000004-40000−1+51−51−5−1+500−1+51−51−5−1+500000000−1+51−50000−1−51+51+5−1−500−1−51+51+5−1−500000000−1−51+50000000000000000000000000000
χ704-4-44004-4-4400000000-440000−1+51−51−5−1+500−1+51−51−5−1+5000000001−5−1+50000−1−51+51+5−1−500−1−51+51+5−1−5000000001+5−1−50000000000000000000000000000
χ718-88-800-44-4400000000000000−2+252−25−2+252−25001−5−1+51−5−1+500000000000000−2−252+25−2−252+25001+5−1−51+5−1−500000000000000000000000000000000000000
χ728-8-8800-444-400000000000000−2+252−252−25−2+25001−5−1+5−1+51−500000000000000−2−252+252+25−2−25001+5−1−5−1−51+500000000000000000000000000000000000000
χ73222222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52000000000000000000000000
χ74222222222222222222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+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+521−521−521−521−521−521−52000000000000000000000000
χ752222222222-2-222-2-2-2-22222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52000000000000000000000000
χ762222222222-2-222-2-2-2-2-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52000000000000000000000000
χ772222-2-222222-2-2-222-2-222-2-22-2−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52000000000000000000000000
χ782222-2-222222-2-2-222-2-2-2-222-22−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52000000000000000000000000
χ792222-2-22222-22-2-2-2-22222-2-2-22−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+52000000000000000000000000
χ802222-2-22222-22-2-2-2-222-2-2222-2−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−52000000000000000000000000
χ81444444-2-2-2-244-2-2-2-2-2-2000000−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+52−1−5−1−51+521+521+521+521+521+52000000−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−52−1+5−1+51−521−521−521−521−521−52000000000000000000000000000000
χ82444444-2-2-2-2-4-4-2-22222000000−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+521+51+51+521+52−1−52−1−52−1−52−1−52000000−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−521−51−51−521−52−1+52−1+52−1+52−1+52000000000000000000000000000000
χ834444-4-4-2-2-2-24-422-2-222000000−1−5−1−5−1−5−1−51+51+51+521+521+521+52−1−51+5−1−52−1−521+521+52−1−52−1−52000000−1+5−1+5−1+5−1+51−51−51−521−521−521−52−1+51−5−1+52−1+521−521−52−1+52−1+52000000000000000000000000000000
χ844444-4-4-2-2-2-2-442222-2-2000000−1−5−1−5−1−5−1−51+51+51+521+521+521+521+5−1−5−1−52−1−52−1−52−1−521+521+52000000−1+5−1+5−1+5−1+51−51−51−521−521−521−521−5−1+5−1+52−1+52−1+52−1+521−521−52000000000000000000000000000000
χ8544-4-44-444-4-4004-40000000000−1−5−1−51+51+5−1−51+5−1−5−1−51+51+500−1−51+50000000000−1+5−1+51−51−5−1+51−5−1+5−1+51−51−500−1+51−50000000000000000000000000000000000
χ8644-4-44-4-2-22200-2223−2323−23000000−1−5−1−51+51+5−1−51+51+521+52−1−52−1−52001+52−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000−1+5−1+51−51−5−1+51−51−521−52−1+52−1+52001−52−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000000000
χ8744-4-44-4-2-22200-22−2323−2323000000−1−5−1−51+51+5−1−51+51+521+52−1−52−1−52001+52−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000−1+5−1+51−51−5−1+51−51−521−52−1+52−1+52001−52−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000000000
χ8844-4-4-4444-4-400-440000000000−1−5−1−51+51+51+5−1−5−1−5−1−51+51+5001+5−1−50000000000−1+5−1+51−51−51−5−1+5−1+5−1+51−51−5001−5−1+50000000000000000000000000000000000
χ8944-4-4-44-2-222002-223−23−2323000000−1−5−1−51+51+51+5−1−51+521+52−1−52−1−5200−1−521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000−1+5−1+51−51−51−5−1+51−521−52−1+52−1+5200−1+521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000000000
χ9044-4-4-44-2-222002-2−232323−23000000−1−5−1−51+51+51+5−1−51+521+52−1−52−1−5200−1−521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000−1+5−1+51−51−51−5−1+51−521−52−1+52−1+5200−1+521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000000000
χ914-44-4004-44-400000000004i−4i00−1−51+5−1−51+500−1−51+5−1−51+50000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900−1+51−5−1+51−500−1+51−5−1+51−50000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000
χ924-44-4004-44-40000000000−4i4i00−1−51+5−1−51+500−1−51+5−1−51+500000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900−1+51−5−1+51−500−1+51−5−1+51−500000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000
χ934-4-44004-4-44000000004-40000−1−51+51+5−1−500−1−51+51+5−1−500000000−1−51+50000−1+51−51−5−1+500−1+51−51−5−1+500000000−1+51−50000000000000000000000000000
χ944-4-44004-4-4400000000-440000−1−51+51+5−1−500−1−51+51+5−1−5000000001+5−1−50000−1+51−51−5−1+500−1+51−51−5−1+5000000001−5−1+50000000000000000000000000000
χ958-88-800-44-4400000000000000−2−252+25−2−252+25001+5−1−51+5−1−500000000000000−2+252−25−2+252−25001−5−1+51−5−1+500000000000000000000000000000000000000
χ968-8-8800-444-400000000000000−2−252+252+25−2−25001+5−1−5−1−51+500000000000000−2+252−252−25−2+25001−5−1+5−1+51−500000000000000000000000000000000000000

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