Finite Group Databasebeta

← Group #67129

Character table — Group #67129

Order 360.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112222552244441010336666151511222255224444101033666615151122225522444410103366661515
order125510104436151530301212221010101044361515303012123615153030121266303030301212361515303012123615153030121266303030301212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1
χ31-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i
χ41-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii
χ522−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200
χ622−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200
χ72-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200
χ82-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200
χ91111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ10111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111
χ111-111-1-1i−i1-111-1-1i−i-11-1-111−ii1-111-1-1i−i1-111-1-1i−i-11-1-111−ii1-111-1-1i−i1-111-1-1i−i-11-1-111−ii
χ121-111-1-1−ii1-111-1-1−ii-11-1-111i−i1-111-1-1−ii1-111-1-1−ii-11-1-111i−i1-111-1-1−ii1-111-1-1−ii-11-1-111i−i
χ1322−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200
χ1422−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200
χ152-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200
χ162-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200
χ1722222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-100000000
χ18222222-2-2-1-1-1-1-1-11100000000222222-2-2-1-1-1-1-1-11100000000222222-2-2-1-1-1-1-1-11100000000
χ192-222-2-22i−2i-11-1-111−ii000000002-222-2-22i−2i-11-1-111−ii000000002-222-2-22i−2i-11-1-111−ii00000000
χ202-222-2-2−2i2i-11-1-111i−i000000002-222-2-2−2i2i-11-1-111i−i000000002-222-2-2−2i2i-11-1-111i−i00000000
χ2144−1+5−1−5−1+5−1−500-2-21−521+521−521+52000000000044−1+5−1−5−1+5−1−500-2-21−521+521−521+52000000000044−1+5−1−5−1+5−1−500-2-21−521+521−521+520000000000
χ2244−1−5−1+5−1−5−1+500-2-21+521−521+521−52000000000044−1−5−1+5−1−5−1+500-2-21+521−521+521−52000000000044−1−5−1+5−1−5−1+500-2-21+521−521+521−520000000000
χ234-4−1+5−1−51−51+500-221−521+52−1+52−1−5200000000004-4−1+5−1−51−51+500-221−521+52−1+52−1−5200000000004-4−1+5−1−51−51+500-221−521+52−1+52−1−520000000000
χ244-4−1−5−1+51+51−500-221+521−52−1−52−1+5200000000004-4−1−5−1+51+51−500-221+521−52−1−52−1+5200000000004-4−1−5−1+51+51−500-221+521−52−1−52−1+520000000000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111-1-1111111-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ271-111-1-1i−i1-111-1-1i−i1-111-1-1i−i−1+i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ281-111-1-1−ii1-111-1-1−ii1-111-1-1−ii−1+i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ2922−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ2600−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ2600−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ2600−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ4600−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ4600−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ4600
χ3022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ3800−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ3800−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ3800−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ5800−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ5800−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ5800
χ312-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200−1+i31−i3−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ2600−1+i31−i3−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ2600−1+i31−i3−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ2600−1−i31+i3−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ4600−1−i31+i3−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ4600−1−i31+i3−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ4600
χ322-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200−1+i31−i3−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ3800−1+i31−i3−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ3800−1+i31−i3−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ3800−1−i31+i3−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ5800−1−i31+i3−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ5800−1−i31+i3−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ5800
χ331111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ34111111-1-1111111-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ351-111-1-1i−i1-111-1-1i−i-11-1-111−ii−1+i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i321−i321−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i321+i321+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ361-111-1-1−ii1-111-1-1−ii-11-1-111i−i−1+i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i321−i321−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i321+i321+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ3722−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ2600−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26001−i31−i3ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ2600−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ4600−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46001+i31+i3ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ4600
χ3822−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ3800−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38001−i31−i3ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ3800−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ5800−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58001+i31+i3ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ5800
χ392-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200−1+i31−i3−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ2600−1+i31−i3−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ26001−i3−1+i3ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ2600−1−i31+i3−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ4600−1−i31+i3−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ46001+i3−1−i3ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ4600
χ402-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200−1+i31−i3−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ3800−1+i31−i3−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ38001−i3−1+i3ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ3800−1−i31+i3−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ5800−1−i31+i3−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ58001+i3−1−i3ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ5800
χ4122222222-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ42222222-2-2-1-1-1-1-1-11100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i3200000000
χ432-222-2-22i−2i-11-1-111−ii00000000−1+i31−i3−1+i3−1+i31−i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ591−i32−1+i321−i321−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ5900000000−1−i31+i3−1−i3−1−i31+i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ431+i32−1−i321+i321+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ4300000000
χ442-222-2-2−2i2i-11-1-111i−i00000000−1+i31−i3−1+i3−1+i31−i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ591−i32−1+i321−i321−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ5900000000−1−i31+i3−1−i3−1−i31+i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ431+i32−1−i321+i321+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ4300000000
χ4544−1+5−1−5−1+5−1−500-2-21−521+521−521+520000000000−2+2i3−2+2i3−2ζ2−2ζ38−2ζ14−2ζ26−2ζ2−2ζ38−2ζ14−2ζ26001−i31−i3ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ260000000000−2−2i3−2−2i3−2ζ22−2ζ58−2ζ34−2ζ46−2ζ22−2ζ58−2ζ34−2ζ46001+i31+i3ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ460000000000
χ4644−1−5−1+5−1−5−1+500-2-21+521−521+521−520000000000−2+2i3−2+2i3−2ζ14−2ζ26−2ζ2−2ζ38−2ζ14−2ζ26−2ζ2−2ζ38001−i31−i3ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ380000000000−2−2i3−2−2i3−2ζ34−2ζ46−2ζ22−2ζ58−2ζ34−2ζ46−2ζ22−2ζ58001+i31+i3ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ580000000000
χ474-4−1+5−1−51−51+500-221−521+52−1+52−1−520000000000−2+2i32−2i3−2ζ2−2ζ38−2ζ14−2ζ262ζ2+2ζ382ζ14+2ζ26001−i3−1+i3ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ260000000000−2−2i32+2i3−2ζ22−2ζ58−2ζ34−2ζ462ζ22+2ζ582ζ34+2ζ46001+i3−1−i3ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ460000000000
χ484-4−1−5−1+51+51−500-221+521−52−1−52−1+520000000000−2+2i32−2i3−2ζ14−2ζ26−2ζ2−2ζ382ζ14+2ζ262ζ2+2ζ38001−i3−1+i3ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ380000000000−2−2i32+2i3−2ζ34−2ζ46−2ζ22−2ζ582ζ34+2ζ462ζ22+2ζ58001+i3−1−i3ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ580000000000
χ49111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111-1-1111111-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ511-111-1-1i−i1-111-1-1i−i1-111-1-1i−i−1−i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ521-111-1-1−ii1-111-1-1−ii1-111-1-1−ii−1−i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ5322−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ4600−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ4600−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ4600−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ2600−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ2600−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ2600
χ5422−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ5800−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ5800−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ5800−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ3800−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ3800−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ3800
χ552-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200−1−i31+i3−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ4600−1−i31+i3−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ4600−1−i31+i3−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ4600−1+i31−i3−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ2600−1+i31−i3−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ2600−1+i31−i3−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ2600
χ562-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200−1−i31+i3−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ5800−1−i31+i3−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ5800−1−i31+i3−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ5800−1+i31−i3−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ3800−1+i31−i3−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ3800−1+i31−i3−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ3800
χ571111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ58111111-1-1111111-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ591-111-1-1i−i1-111-1-1i−i-11-1-111−ii−1−i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i321+i321+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i321−i321−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ601-111-1-1−ii1-111-1-1−ii-11-1-111i−i−1−i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i321+i321+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i321−i321−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ6122−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ4600−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46001+i31+i3ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ4600−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ2600−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26001−i31−i3ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ2600
χ6222−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ5800−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58001+i31+i3ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ5800−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ3800−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38001−i31−i3ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ3800
χ632-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200−1−i31+i3−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ4600−1−i31+i3−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ46001+i3−1−i3ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ4600−1+i31−i3−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ2600−1+i31−i3−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ26001−i3−1+i3ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ2600
χ642-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200−1−i31+i3−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ5800−1−i31+i3−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ58001+i3−1−i3ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ5800−1+i31−i3−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ3800−1+i31−i3−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ38001−i3−1+i3ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ3800
χ6522222222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ66222222-2-2-1-1-1-1-1-11100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i3200000000
χ672-222-2-22i−2i-11-1-111−ii00000000−1−i31+i3−1−i3−1−i31+i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ431+i32−1−i321+i321+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ4300000000−1+i31−i3−1+i3−1+i31−i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ591−i32−1+i321−i321−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ5900000000
χ682-222-2-2−2i2i-11-1-111i−i00000000−1−i31+i3−1−i3−1−i31+i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ431+i32−1−i321+i321+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ4300000000−1+i31−i3−1+i3−1+i31−i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ591−i32−1+i321−i321−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ5900000000
χ6944−1+5−1−5−1+5−1−500-2-21−521+521−521+520000000000−2−2i3−2−2i3−2ζ22−2ζ58−2ζ34−2ζ46−2ζ22−2ζ58−2ζ34−2ζ46001+i31+i3ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ460000000000−2+2i3−2+2i3−2ζ2−2ζ38−2ζ14−2ζ26−2ζ2−2ζ38−2ζ14−2ζ26001−i31−i3ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ260000000000
χ7044−1−5−1+5−1−5−1+500-2-21+521−521+521−520000000000−2−2i3−2−2i3−2ζ34−2ζ46−2ζ22−2ζ58−2ζ34−2ζ46−2ζ22−2ζ58001+i31+i3ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ580000000000−2+2i3−2+2i3−2ζ14−2ζ26−2ζ2−2ζ38−2ζ14−2ζ26−2ζ2−2ζ38001−i31−i3ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ380000000000
χ714-4−1+5−1−51−51+500-221−521+52−1+52−1−520000000000−2−2i32+2i3−2ζ22−2ζ58−2ζ34−2ζ462ζ22+2ζ582ζ34+2ζ46001+i3−1−i3ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ460000000000−2+2i32−2i3−2ζ2−2ζ38−2ζ14−2ζ262ζ2+2ζ382ζ14+2ζ26001−i3−1+i3ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ260000000000
χ724-4−1−5−1+51+51−500-221+521−52−1−52−1+520000000000−2−2i32+2i3−2ζ34−2ζ46−2ζ22−2ζ582ζ34+2ζ462ζ22+2ζ58001+i3−1−i3ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ580000000000−2+2i32−2i3−2ζ14−2ζ26−2ζ2−2ζ382ζ14+2ζ262ζ2+2ζ38001−i3−1+i3ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ380000000000

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