Finite Group Databasebeta

← Group #14313473

Character table — Group #14313473

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222244444444448888888888888888816161616161616161616161616161616161624242424242424243030404040404040484848484848606060808080120120
order12235561010224610101515303044661010101012202030303030303012122020202030306060606060606060606044442020202022244412122020202020202246121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1
χ51111111111111111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111111-111-1-1
χ81111111111111111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-11-1-111
χ9111111111-1-111111111i−i-1-1-1-1-1-111111-1-1-1-1i−iii−i−i-1-111iiii−i−i−i−i1-1i−i-1-1-1-1111-1i−i-1-111ii−i−i-1-111i−ii−i
χ10111111111-1-111111111i−i-1-1-1-1-1-111111-1-1-1-1i−iii−i−i-1-111iiii−i−i−i−i1-1i−i-1-1-1-1-1-1-11−ii1111ii−i−i11-1-1−ii−ii
χ11111111111-1-111111111i−i-1-1-1-1-1-111111-1-1-1-1i−iii−i−i-1-111iiii−i−i−i−i-11−ii111111-11−ii11-1-1−i−iii-1-11-1−iii−i
χ12111111111-1-111111111i−i-1-1-1-1-1-111111-1-1-1-1i−iii−i−i-1-111iiii−i−i−i−i-11−ii1111-1-11-1i−i-1-1-1-1−i−iii11-11i−i−ii
χ13111111111-1-111111111−ii-1-1-1-1-1-111111-1-1-1-1−ii−i−iii-1-111−i−i−i−iiiii1-1−ii-1-1-1-1111-1−ii-1-111−i−iii-1-111−ii−ii
χ14111111111-1-111111111−ii-1-1-1-1-1-111111-1-1-1-1−ii−i−iii-1-111−i−i−i−iiiii1-1−ii-1-1-1-1-1-1-11i−i1111−i−iii11-1-1i−ii−i
χ15111111111-1-111111111−ii-1-1-1-1-1-111111-1-1-1-1−ii−i−iii-1-111−i−i−i−iiiii-11i−i111111-11i−i11-1-1ii−i−i-1-11-1i−i−ii
χ16111111111-1-111111111−ii-1-1-1-1-1-111111-1-1-1-1−ii−i−iii-1-111−i−i−i−iiiii-11i−i1111-1-11-1−ii-1-1-1-1ii−i−i11-11−iii−i
χ172222222222-2-2222222200-22-2-222-2-2-222-2-2-2-200000022-2-20000000000000000220000000000002-2-200000
χ182222222222-2-2222222200-22-2-222-2-2-222-2-2-2-200000022-2-20000000000000000-2-2000000000000-22200000
χ19222222222-22-22222222002-222-2-2-2-2-2222222000000-2-2-2-2000000000000000022000000000000-22-200000
χ20222222222-22-22222222002-222-2-2-2-2-2222222000000-2-2-2-20000000000000000-2-20000000000002-2200000
χ212222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+522222−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ222222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+52-2-2-2-21+521+521−521−52000000001+521−521+521−521+521−5200000000
χ232222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−521+521−5200000000
χ242222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2221+521+521−521−52000000001+521−52−1−52−1+52−1−52−1+5200000000
χ252222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+522i−2i-2-21+521−521+521−522−1−52−1+52−1−52−1+521+521+521−521−522i−2i−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ471+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ472-22i−2i1+521+521−521−5200000000−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000
χ262222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+522i−2i-2-21+521−521+521−522−1−52−1+52−1−52−1+521+521+521−521−522i−2i−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ471+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47-22−2i2i−1−52−1−52−1+52−1+52000000001+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000000
χ272222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−2i2i-2-21+521−521+521−522−1−52−1+52−1−52−1+521+521+521−521−52−2i2iζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ471+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ472-2−2i2i1+521+521−521−5200000000−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000000
χ282222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−2i2i-2-21+521−521+521−522−1−52−1+52−1−52−1+521+521+521−521−52−2i2iζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ471+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47-222i−2i−1−52−1−52−1+52−1+52000000001+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000
χ292222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ302222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52-2-2-2-21−521−521+521+52000000001−521+521−521+521−521+5200000000
χ312222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-2−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+521−521+5200000000
χ322222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-2221−521−521+521+52000000001−521+52−1+52−1−52−1+52−1−5200000000
χ332222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−522i−2i-2-21−521+521−521+522−1+52−1−52−1+52−1−521−521−521+521+522i−2i−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ591−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ592-22i−2i1−521−521+521+5200000000−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900000000
χ342222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−522i−2i-2-21−521+521−521+522−1+52−1−52−1+52−1−521−521−521+521+522i−2i−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ591−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59-22−2i2i−1+52−1+52−1−52−1−52000000001−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000000
χ352222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−2i2i-2-21−521+521−521+522−1+52−1−52−1+52−1−521−521−521+521+52−2i2iζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ591−521+52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ592-2−2i2i1−521−521+521+5200000000−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000000
χ362222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−2i2i-2-21−521+521−521+522−1+52−1−52−1+52−1−521−521−521+521+52−2i2iζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ591−521+52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59-222i−2i−1+52−1+52−1−52−1−52000000001−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900000000
χ37222-122-122222-122-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000002222-1-1000000000-1-1-100
χ38222-122-122222-122-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-21100000000011100
χ39222-122-122222-122-1-1-1-1-2-2-1-12222-122-1-1-1-1-1-111-2-2-2-2-1-1-1-111111111000000000022-2-2-1-1000000000-11100
χ40222-122-122222-122-1-1-1-1-2-2-1-12222-122-1-1-1-1-1-111-2-2-2-2-1-1-1-1111111110000000000-2-222110000000001-1-100
χ41222-122-122-2-22-122-1-1-1-12i−2i11-2-2-2-2-122-1-11111−ii2i2i−2i−2i11-1-1−i−i−i−iiiii00000000002-22i−2i11000000000-1−ii00
χ42222-122-122-2-22-122-1-1-1-12i−2i11-2-2-2-2-122-1-11111−ii2i2i−2i−2i11-1-1−i−i−i−iiiii0000000000-22−2i2i-1-10000000001i−i00
χ43222-122-122-2-22-122-1-1-1-1−2i2i11-2-2-2-2-122-1-11111i−i−2i−2i2i2i11-1-1iiii−i−i−i−i00000000002-2−2i2i11000000000-1i−i00
χ44222-122-122-2-22-122-1-1-1-1−2i2i11-2-2-2-2-122-1-11111i−i−2i−2i2i2i11-1-1iiii−i−i−i−i0000000000-222i−2i-1-10000000001−ii00
χ454444−1−5−1+54−1−5−1+54-4-44−1−5−1+5−1−5−1+5−1−5−1+500-441+51−5−1−5−1+5-41+51−5−1−5−1+51+51+51−51−5000000−1−5−1+51+51−500000000000000000000000000000000000000
χ464444−1−5−1+54−1−5−1+5-44-44−1−5−1+5−1−5−1+5−1−5−1+5004-4−1−5−1+51+51−5-41+51−5−1−5−1+5−1−5−1−5−1+5−1+50000001+51−51+51−500000000000000000000000000000000000000
χ474444−1+5−1−54−1+5−1−54-4-44−1+5−1−5−1+5−1−5−1+5−1−500-441−51+5−1+5−1−5-41−51+5−1+5−1−51−51−51+51+5000000−1+5−1−51−51+500000000000000000000000000000000000000
χ484444−1+5−1−54−1+5−1−5-44-44−1+5−1−5−1+5−1−5−1+5−1−5004-4−1+5−1−51−51+5-41−51+5−1+5−1−5−1+5−1+5−1−5−1−50000001−51+51−51+500000000000000000000000000000000000000
χ49444-244-2444-4-4-244-2-2-2-2002-2-4-4442-4-4-2-22222000000-2-22200000000000000000000000000000000000000
χ50444-244-244-44-4-244-2-2-2-200-2244-4-42-4-4-2-2-2-2-2-2000000222200000000000000000000000000000000000000
χ51444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1+51+521−521+521−5244-2-2−1−5−1+5−1−5−1+5-2−1−5−1+51+521−521+521+521−521−52-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−521+521+521−521−52000000000000000000000000000000
χ52444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1+51+521−521+521−52-4-4-2-2−1−5−1+5−1−5−1+5-2−1−5−1+51+521−521+521+521−521−52221+51−51+51−51+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000
χ53444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1+51+521−521+521−52002-21+51−5−1−5−1+521+51−51+521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+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−ζ47000000000000000000000000000000
χ54444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1+51+521−521+521−52002-21+51−5−1−5−1+521+51−51+521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+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+ζ47000000000000000000000000000000
χ55444-2−1−5−1+5-2−1−5−1+5-44-4-2−1−5−1+51+521−521+521−5200-22−1−5−1+51+51−521+51−51+521−521+521+521−521−52000000−1−52−1+52−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000000
χ56444-2−1−5−1+5-2−1−5−1+5-44-4-2−1−5−1+51+521−521+521−5200-22−1−5−1+51+51−521+51−51+521−521+521+521−521−52000000−1−52−1+52−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000000
χ57444-2−1−5−1+5-2−1−5−1+5-4-44-2−1−5−1+51+521−521+521−524i−4i221+51−51+51−5-2−1−5−1+51+521−52−1−52−1−52−1+52−1+52−2i2i−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000000000000000
χ58444-2−1−5−1+5-2−1−5−1+5-4-44-2−1−5−1+51+521−521+521−52−4i4i221+51−51+51−5-2−1−5−1+51+521−52−1−52−1−52−1+52−1+522i−2i2ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000000000000000000000000000
χ59444-2−1+5−1−5-2−1+5−1−5444-2−1+5−1−51−521+521−521+5244-2-2−1+5−1−5−1+5−1−5-2−1+5−1−51−521+521−521−521+521+52-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+521−521−521+521+52000000000000000000000000000000
χ60444-2−1+5−1−5-2−1+5−1−5444-2−1+5−1−51−521+521−521+52-4-4-2-2−1+5−1−5−1+5−1−5-2−1+5−1−51−521+521−521−521+521+52221−51+51−51+51−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000
χ61444-2−1+5−1−5-2−1+5−1−54-4-4-2−1+5−1−51−521+521−521+52002-21−51+5−1+5−1−521−51+51−521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−52−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−ζ59000000000000000000000000000000
χ62444-2−1+5−1−5-2−1+5−1−54-4-4-2−1+5−1−51−521+521−521+52002-21−51+5−1+5−1−521−51+51−521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−52ζ7+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+ζ59000000000000000000000000000000
χ63444-2−1+5−1−5-2−1+5−1−5-44-4-2−1+5−1−51−521+521−521+5200-22−1+5−1−51−51+521−51+51−521+521−521−521+521+52000000−1+52−1−52−1+52−1−52−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−ζ46000000000000000000000000000000
χ64444-2−1+5−1−5-2−1+5−1−5-44-4-2−1+5−1−51−521+521−521+5200-22−1+5−1−51−51+521−51+51−521+521−521−521+521+52000000−1+52−1−52−1+52−1−52ζ2−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+ζ46000000000000000000000000000000
χ65444-2−1+5−1−5-2−1+5−1−5-4-44-2−1+5−1−51−521+521−521+524i−4i221−51+51−51+5-2−1+5−1−51−521+52−1+52−1+52−1−52−1−52−2i2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000000000000000
χ66444-2−1+5−1−5-2−1+5−1−5-4-44-2−1+5−1−51−521+521−521+52−4i4i221−51+51−51+5-2−1+5−1−51−521+52−1+52−1+52−1−52−1−522i−2i2ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000000000000000000000
χ6744-4444444000-4-4-4444400000000000-4-40000000000000000000000000000004-400000000000000000000
χ6844-4444444000-4-4-4444400000000000-4-4000000000000000000000000000000-4400000000000000000000
χ6988-88−2−25−2+258−2−25−2+25000-82+252−25−2−25−2+25−2−25−2+25000000000002+252−250000000000000000000000000000000000000000000000000000
χ7088-88−2+25−2−258−2+25−2−25000-82−252+25−2+25−2−25−2+25−2−25000000000002−252+250000000000000000000000000000000000000000000000000000
χ7188-8-488-4880004-8-8-4-4-4-400000000000440000000000000000000000000000000000000000000000000000
χ7288-8-4−2−25−2+25-4−2−25−2+2500042+252−251+51−51+51−500000000000−1−5−1+52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58000000000000000000000000000000000000000000000000
χ7388-8-4−2−25−2+25-4−2−25−2+2500042+252−251+51−51+51−500000000000−1−5−1+5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58000000000000000000000000000000000000000000000000
χ7488-8-4−2+25−2−25-4−2+25−2−2500042−252+251−51+51−51+500000000000−1+5−1−5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46000000000000000000000000000000000000000000000000
χ7588-8-4−2+25−2−25-4−2+25−2−2500042−252+251−51+51−51+500000000000−1+5−1−52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46000000000000000000000000000000000000000000000000
χ768-80888-8-8-800000088-8-800000000000000000000000000000000000000000000000000000000000000000
χ778-808−2−25−2+25-82+252−25000000−2−25−2+252+252−25000000000000000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000
χ788-808−2−25−2+25-82+252−25000000−2−25−2+252+252−250000000000000000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000
χ798-808−2+25−2−25-82−252+25000000−2+25−2−252−252+250000000000000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000000
χ808-808−2+25−2−25-82−252+25000000−2+25−2−252−252+25000000000000000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000
χ818-80-4884-8-8000000-4-4440000000000000000000000000000000000000000000000000−2i32i300000000000000
χ828-80-4884-8-8000000-4-44400000000000000000000000000000000000000000000000002i3−2i300000000000000
χ8316-160-8−4−45−4+4584+454−450000002+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000
χ8416-160-8−4+45−4−4584−454+450000002−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000

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