Finite Group Databasebeta

← Group #11752799

Character table — Group #11752799

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888101010101010101012121212121212121212121220202020202020202424242460606060
order122222355666101010101010446610101010121212121515303030303030202020203030303060606060606060604444121212124444202020202020202044121212121212202020204444
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
χ5111111111111111111-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ6111111111111111111-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ7111111111111111111-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111
χ8111111111111111111-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1
χ91111-1-11111111111111-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111111-11-11111-1-1-1-1-1111-1-1-1-111-1-11-11-1
χ101111-1-11111111111111-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-11-11-1-1-1-11111-1111-1-1-1-1-1-111-11-11
χ111111-1-11111111111111-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-11-11111-1-1-1-11-1-1-1111111-1-1-11-11
χ121111-1-11111111111111-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11-11-1-1-1-111111-1-1-11111-1-1111-11-1
χ131111-1-1111111111111-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1-1-111111-1-1-111-1-111-1-11-1-11
χ141111-1-1111111111111-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111111-1-11111-111-11111-1-1-1-11-1-1-111-1-1-1-111-111-1
χ151111-1-1111111111111-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-11-1-1-1-11111-1111-1-11111-1-1-111-1
χ161111-1-1111111111111-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-11111-1-1-1-1-1111-1-111-1-1111-1-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+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+52−1−52−1−52−1+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+522222−1−52−1−52−1+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+52−1−52−1−52−1+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+52-2-222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+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+52-2-222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+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+52−1−522222−1+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+52−1−52−1+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+52−1−522222−1+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+52−1−52−1+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+52−1−52-2-222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52-2-222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+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
χ25222222-122-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000000022-1-1-1-1-1-100000000
χ26222222-122-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000000000000-2-211111100000000
χ27222222-122-1-1-1222222-2-2-1-122221111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111112222-1-1-1-1000000000000-2-21111-1-100000000
χ28222222-122-1-1-1222222-2-2-1-122221111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2111100000000000022-1-1-1-11100000000
χ292222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−5222-2-2−1−52−1+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+521+521+521−521−52000000002-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−520000
χ302222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−5222-2-2−1−52−1+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+521+521+521−521−5200000000-22-221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+520000
χ312222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-21+521+521−521−52-2-222−1−52−1+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+52000000002-2-221+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−520000
χ322222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-21+521+521−521−52-2-222−1−52−1+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+5200000000-222-2−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+520000
χ332222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+5222-2-2−1+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+52−1−52−1−521−521−521+521+52000000002-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+520000
χ342222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+5222-2-2−1+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+52−1−52−1−521−521−521+521+5200000000-22-221−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−520000
χ352222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-21−521−521+521+52-2-222−1+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+52−1−52−1−52000000002-2-221−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+520000
χ362222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-21−521−521+521+52-2-222−1+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+52−1−52−1−5200000000-222-2−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−520000
χ372222-2-2-122-1-1-12222222-211-2-2-2-2-1-111-1-1-1-1-1-1-1-122-2-21111-1-1-1-1111122-2-2-1-1-1-1000000000000-22-1-1111100000000
χ382222-2-2-122-1-1-12222222-211-2-2-2-2-1-111-1-1-1-1-1-1-1-122-2-21111-1-1-1-11111-2-22211110000000000002-211-1-1-1-100000000
χ392222-2-2-122-1-1-1222222-2211-2-2-2-211-1-1-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-122-2-2-1-1-1-10000000000002-211-1-11100000000
χ402222-2-2-122-1-1-1222222-2211-2-2-2-211-1-1-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-2221111000000000000-22-1-111-1-100000000
χ4122-2-22-2222-2-2222-2-2-2-2002-22-22-200002222-2-2-2-200002-22-2000000002-22-222-2-20000000000000000002-200000000
χ4222-2-22-2222-2-2222-2-2-2-2002-22-22-200002222-2-2-2-200002-22-200000000-22-22-2-222000000000000000000-2200000000
χ4322-2-22-2-12211-122-2-2-2-200-112-22-23−33−3-1-1-1-111110000-11-113−33−33−33−32-22-2-1-111000000000000003−33−3-1100000000
χ4422-2-22-2-12211-122-2-2-2-200-112-22-23−33−3-1-1-1-111110000-11-113−33−33−33−3-22-2211-1-100000000000000−33−331-100000000
χ4522-2-22-2-12211-122-2-2-2-200-112-22-2−33−33-1-1-1-111110000-11-11−33−33−33−332-22-2-1-11100000000000000−33−33-1100000000
χ4622-2-22-2-12211-122-2-2-2-200-112-22-2−33−33-1-1-1-111110000-11-11−33−33−33−33-22-2211-1-1000000000000003−33−31-100000000
χ4722-2-2-22222-2-2222-2-2-2-200-22-22-2200002222-2-2-2-20000-22-22000000002-2-2222-2-2000000000000000000-2200000000
χ4822-2-2-22222-2-2222-2-2-2-200-22-22-2200002222-2-2-2-20000-22-2200000000-222-2-2-2220000000000000000002-200000000
χ4922-2-2-22-12211-122-2-2-2-2001-1-22-223−3−33-1-1-1-1111100001-11-13−33−3−33−332-2-22-1-111000000000000003−3−331-100000000
χ5022-2-2-22-12211-122-2-2-2-2001-1-22-223−3−33-1-1-1-1111100001-11-13−33−3−33−33-222-211-1-100000000000000−333−3-1100000000
χ5122-2-2-22-12211-122-2-2-2-2001-1-22-22−333−3-1-1-1-1111100001-11-1−33−333−33−32-2-22-1-11100000000000000−333−31-100000000
χ5222-2-2-22-12211-122-2-2-2-2001-1-22-22−333−3-1-1-1-1111100001-11-1−33−333−33−3-222-211-1-1000000000000003−3−33-1100000000
χ53444444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-2−1−5−1−5−1+5−1+5-2-2-2-21+521−521+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
χ54444444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-2−1−5−1−5−1+5−1+522221+521−521+521−521+521+521−521−521+51−51+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ55444444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−544-2-2−1+5−1+5−1−5−1−5-2-2-2-21−521+521−521+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
χ56444444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-4-2-2−1+5−1+5−1−5−1−522221−521+521−521+521−521−521+521+521−51+51−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
χ574444-4-4-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+54-4221+51+51−51−5-2-2221+521−521+521−521+521+521−521−52−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ584444-4-4-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-44221+51+51−51−522-2-21+521−521+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
χ594444-4-4-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−54-4221−51−51+51+5-2-2221−521+521−521+521−521−521+521+52−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
χ604444-4-4-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-44221−51−51+51+522-2-21−521+521−521+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
χ6144-4-44-44−1−5−1+5-4-44−1−5−1+51+51−51+51−5004-4−1−51+5−1+51−50000−1−5−1+5−1−5−1+51+51+51−51−50000−1−51+5−1+51−500000000000000000000000000000000000000000000
χ6244-4-44-44−1+5−1−5-4-44−1+5−1−51−51+51−51+5004-4−1+51−5−1−51+50000−1+5−1−5−1+5−1−51−51−51+51+50000−1+51−5−1−51+500000000000000000000000000000000000000000000
χ6344-4-44-4-2−1−5−1+522-2−1−5−1+51+51−51+51−500-22−1−51+5−1+51−523−2323−231+521−521+521−52−1−52−1−52−1+52−1+5200001+52−1−521−52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000000000000000
χ6444-4-44-4-2−1−5−1+522-2−1−5−1+51+51−51+51−500-22−1−51+5−1+51−5−2323−23231+521−521+521−52−1−52−1−52−1+52−1+5200001+52−1−521−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000000000000000
χ6544-4-44-4-2−1+5−1−522-2−1+5−1−51−51+51−51+500-22−1+51−5−1−51+523−2323−231−521+521−521+52−1+52−1+52−1−52−1−5200001−52−1+521+52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000000000
χ6644-4-44-4-2−1+5−1−522-2−1+5−1−51−51+51−51+500-22−1+51−5−1−51+5−2323−23231−521+521−521+52−1+52−1+52−1−52−1−5200001−52−1+521+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000000000
χ6744-4-4-444−1−5−1+5-4-44−1−5−1+51+51−51+51−500-441+5−1−51−5−1+50000−1−5−1+5−1−5−1+51+51+51−51−500001+5−1−51−5−1+500000000000000000000000000000000000000000000
χ6844-4-4-444−1+5−1−5-4-44−1+5−1−51−51+51−51+500-441−5−1+51+5−1−50000−1+5−1−5−1+5−1−51−51−51+51+500001−5−1+51+5−1−500000000000000000000000000000000000000000000
χ6944-4-4-44-2−1−5−1+522-2−1−5−1+51+51−51+51−5002-21+5−1−51−5−1+523−23−23231+521−521+521−52−1−52−1−52−1+52−1+520000−1−521+52−1+521−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000000000000000
χ7044-4-4-44-2−1−5−1+522-2−1−5−1+51+51−51+51−5002-21+5−1−51−5−1+5−232323−231+521−521+521−52−1−52−1−52−1+52−1+520000−1−521+52−1+521−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000000000000000
χ7144-4-4-44-2−1+5−1−522-2−1+5−1−51−51+51−51+5002-21−5−1+51+5−1−523−23−23231−521+521−521+52−1+52−1+52−1−52−1−520000−1+521−52−1−521+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000000000
χ7244-4-4-44-2−1+5−1−522-2−1+5−1−51−51+51−51+5002-21−5−1+51+5−1−5−232323−231−521+521−521+52−1+52−1+52−1−52−1−520000−1+521−52−1−521+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000000000
χ734-44-4004444-4-4-4-444-4-400000000000044-4-44-44-40000000000000000000000000000000000000000000000000000
χ744-44-4004−1−5−1+54-4-41+51−5−1−5−1+51+51−5000000000000−1−5−1+51+51−5−1−51+5−1+51−500000000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000
χ754-44-4004−1−5−1+54-4-41+51−5−1−5−1+51+51−5000000000000−1−5−1+51+51−5−1−51+5−1+51−5000000000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000
χ764-44-4004−1+5−1−54-4-41−51+5−1+5−1−51−51+5000000000000−1+5−1−51−51+5−1+51−5−1−51+5000000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000
χ774-44-4004−1+5−1−54-4-41−51+5−1+5−1−51−51+5000000000000−1+5−1−51−51+5−1+51−5−1−51+500000000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000
χ784-44-400-244-222-4-444-4-4000000000000-2-222-22-220000000000000000000023−2323−230000000000000000000000000000
χ794-44-400-244-222-4-444-4-4000000000000-2-222-22-2200000000000000000000−2323−23230000000000000000000000000000
χ804-4-4400444-44-4-4-4-4-44400000000000044-4-4-44-440000000000000000000000000000000000000000000000000000
χ814-4-44004−1−5−1+5-44-41+51−51+51−5−1−5−1+5000000000000−1−5−1+51+51−51+5−1−51−5−1+50000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000
χ824-4-44004−1−5−1+5-44-41+51−51+51−5−1−5−1+5000000000000−1−5−1+51+51−51+5−1−51−5−1+500000000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000
χ834-4-44004−1+5−1−5-44-41−51+51−51+5−1+5−1−5000000000000−1+5−1−51−51+51−5−1+51+5−1−500000000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000
χ844-4-44004−1+5−1−5-44-41−51+51−51+5−1+5−1−5000000000000−1+5−1−51−51+51−5−1+51+5−1−50000000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000
χ854-4-4400-2442-22-4-4-4-444000000000000-2-2222-22-20000000000000000000023−23−23230000000000000000000000000000
χ864-4-4400-2442-22-4-4-4-444000000000000-2-2222-22-200000000000000000000−232323−230000000000000000000000000000
χ878-88-800-4−2−25−2+25-4442+252−25−2−25−2+252+252−250000000000001+51−5−1−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000
χ888-88-800-4−2+25−2−25-4442−252+25−2+25−2−252−252+250000000000001−51+5−1+5−1−51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000
χ898-8-8800-4−2−25−2+254-442+252−252+252−25−2−25−2+250000000000001+51−5−1−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
χ908-8-8800-4−2+25−2−254-442−252+252−252+25−2+25−2−250000000000001−51+5−1+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000

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