Finite Group Databasebeta

← Group #67128

Character table — Group #67128

Order 360.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112233224466224466551010151511223322446622446655101015151122332244662244665510101515
order123644510153020205101530202022664436361212153015306060153015306060666612123636121215301530606015301530606066661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
χ31-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i
χ41-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii
χ522-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-100
χ62-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-1100
χ7111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ81111-1-11111-1-11111-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111
χ91-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii1-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii1-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii
χ101-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i1-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i1-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i
χ1122-1-10022-1-10022-1-100-2-2110022-1-10022-1-10022-1-100-2-2110022-1-10022-1-10022-1-100-2-21100
χ122-2-11002-2-11002-2-1100-221-1002-2-11002-2-11002-2-1100-221-1002-2-11002-2-11002-2-1100-221-100
χ13222222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52000000222222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52000000222222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52000000
χ142222-2-2−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+520000002222-2-2−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+520000002222-2-2−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+52000000
χ152-22-22i−2i−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000002-22-22i−2i−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000002-22-22i−2i−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000
χ162-22-2−2i2i−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000002-22-2−2i2i−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000002-22-2−2i2i−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000
χ1744-2-200−1+5−1+51−521−5200−1−5−1−51+521+520000000044-2-200−1+5−1+51−521−5200−1−5−1−51+521+520000000044-2-200−1+5−1+51−521−5200−1−5−1−51+521+5200000000
χ184-4-2200−1+51−51−52−1+5200−1−51+51+52−1−52000000004-4-2200−1+51−51−52−1+5200−1−51+51+52−1−52000000004-4-2200−1+51−51−52−1+5200−1−51+51+52−1−5200000000
χ19222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52000000222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52000000222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52000000
χ202222-2-2−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+521−521−520000002222-2-2−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+521−521−520000002222-2-2−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+521−521−52000000
χ212-22-22i−2i−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000002-22-22i−2i−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000002-22-22i−2i−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000
χ222-22-2−2i2i−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000002-22-2−2i2i−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000002-22-2−2i2i−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000
χ2344-2-200−1−5−1−51+521+5200−1+5−1+51−521−520000000044-2-200−1−5−1−51+521+5200−1+5−1+51−521−520000000044-2-200−1−5−1−51+521+5200−1+5−1+51−521−5200000000
χ244-4-2200−1−51+51+52−1−5200−1+51−51−52−1+52000000004-4-2200−1−51+51+52−1−5200−1+51−51−52−1+52000000004-4-2200−1−51+51+52−1−5200−1+51−51−52−1+5200000000
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
χ261111-1-11111-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ271-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ281-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ2922-1-10022-1-10022-1-10022-1-100−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200
χ302-2-11002-2-11002-2-11002-2-1100−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200
χ31111111111111111111-1-1-1-1-1-1−1+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+i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ321111-1-11111-1-11111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ331-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ341-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ3522-1-10022-1-10022-1-100-2-21100−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i3200
χ362-2-11002-2-11002-2-1100-221-100−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i3200
χ37222222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46000000
χ382222-2-2−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+52000000−1+i3−1+i3−1+i3−1+i31−i31−i3−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38ζ2+ζ38−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26000000−1−i3−1−i3−1−i3−1−i31+i31+i3−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58ζ22+ζ58−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46ζ34+ζ46000000
χ392-22-22i−2i−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000−1+i31−i3−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−ζ2−ζ38ζ2+ζ38−ζ2−ζ38ζ2+ζ38ζ23+ζ47−ζ23−ζ47−ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ14+ζ26ζ11+ζ59−ζ11−ζ59000000−1−i31+i3−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−ζ22−ζ58ζ22+ζ58−ζ22−ζ58ζ22+ζ58ζ7+ζ43−ζ7−ζ43−ζ34−ζ46ζ34+ζ46−ζ34−ζ46ζ34+ζ46ζ19+ζ31−ζ19−ζ31000000
χ402-22-2−2i2i−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000−1+i31−i3−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−ζ2−ζ38ζ2+ζ38−ζ2−ζ38ζ2+ζ38−ζ23−ζ47ζ23+ζ47−ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ14+ζ26−ζ11−ζ59ζ11+ζ59000000−1−i31+i3−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−ζ22−ζ58ζ22+ζ58−ζ22−ζ58ζ22+ζ58−ζ7−ζ43ζ7+ζ43−ζ34−ζ46ζ34+ζ46−ζ34−ζ46ζ34+ζ46−ζ19−ζ31ζ19+ζ31000000
χ4144-2-200−1+5−1+51−521−5200−1−5−1−51+521+5200000000−2+2i3−2+2i31−i31−i300−2ζ2−2ζ38−2ζ2−2ζ38ζ2+ζ38ζ2+ζ3800−2ζ14−2ζ26−2ζ14−2ζ26ζ14+ζ26ζ14+ζ2600000000−2−2i3−2−2i31+i31+i300−2ζ22−2ζ58−2ζ22−2ζ58ζ22+ζ58ζ22+ζ5800−2ζ34−2ζ46−2ζ34−2ζ46ζ34+ζ46ζ34+ζ4600000000
χ424-4-2200−1+51−51−52−1+5200−1−51+51+52−1−5200000000−2+2i32−2i31−i3−1+i300−2ζ2−2ζ382ζ2+2ζ38ζ2+ζ38−ζ2−ζ3800−2ζ14−2ζ262ζ14+2ζ26ζ14+ζ26−ζ14−ζ2600000000−2−2i32+2i31+i3−1−i300−2ζ22−2ζ582ζ22+2ζ58ζ22+ζ58−ζ22−ζ5800−2ζ34−2ζ462ζ34+2ζ46ζ34+ζ46−ζ34−ζ4600000000
χ43222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58000000
χ442222-2-2−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+521−521−52000000−1+i3−1+i3−1+i3−1+i31−i31−i3−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38ζ2+ζ38000000−1−i3−1−i3−1−i3−1−i31+i31+i3−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46ζ34+ζ46−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58ζ22+ζ58000000
χ452-22-22i−2i−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000−1+i31−i3−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ14+ζ26ζ11+ζ59−ζ11−ζ59−ζ2−ζ38ζ2+ζ38−ζ2−ζ38ζ2+ζ38ζ23+ζ47−ζ23−ζ47000000−1−i31+i3−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−ζ34−ζ46ζ34+ζ46−ζ34−ζ46ζ34+ζ46ζ19+ζ31−ζ19−ζ31−ζ22−ζ58ζ22+ζ58−ζ22−ζ58ζ22+ζ58ζ7+ζ43−ζ7−ζ43000000
χ462-22-2−2i2i−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000−1+i31−i3−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ14+ζ26−ζ11−ζ59ζ11+ζ59−ζ2−ζ38ζ2+ζ38−ζ2−ζ38ζ2+ζ38−ζ23−ζ47ζ23+ζ47000000−1−i31+i3−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−ζ34−ζ46ζ34+ζ46−ζ34−ζ46ζ34+ζ46−ζ19−ζ31ζ19+ζ31−ζ22−ζ58ζ22+ζ58−ζ22−ζ58ζ22+ζ58−ζ7−ζ43ζ7+ζ43000000
χ4744-2-200−1−5−1−51+521+5200−1+5−1+51−521−5200000000−2+2i3−2+2i31−i31−i300−2ζ14−2ζ26−2ζ14−2ζ26ζ14+ζ26ζ14+ζ2600−2ζ2−2ζ38−2ζ2−2ζ38ζ2+ζ38ζ2+ζ3800000000−2−2i3−2−2i31+i31+i300−2ζ34−2ζ46−2ζ34−2ζ46ζ34+ζ46ζ34+ζ4600−2ζ22−2ζ58−2ζ22−2ζ58ζ22+ζ58ζ22+ζ5800000000
χ484-4-2200−1−51+51+52−1−5200−1+51−51−52−1+5200000000−2+2i32−2i31−i3−1+i300−2ζ14−2ζ262ζ14+2ζ26ζ14+ζ26−ζ14−ζ2600−2ζ2−2ζ382ζ2+2ζ38ζ2+ζ38−ζ2−ζ3800000000−2−2i32+2i31+i3−1−i300−2ζ34−2ζ462ζ34+2ζ46ζ34+ζ46−ζ34−ζ4600−2ζ22−2ζ582ζ22+2ζ58ζ22+ζ58−ζ22−ζ5800000000
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
χ501111-1-11111-1-11111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ511-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ521-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ5322-1-10022-1-10022-1-10022-1-100−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200
χ542-2-11002-2-11002-2-11002-2-1100−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200
χ55111111111111111111-1-1-1-1-1-1−1−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−i32−1−i32−1−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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ561111-1-11111-1-11111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ571-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ581-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ5922-1-10022-1-10022-1-100-2-21100−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i3200
χ602-2-11002-2-11002-2-1100-221-100−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i3200
χ61222222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26000000
χ622222-2-2−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+52000000−1−i3−1−i3−1−i3−1−i31+i31+i3−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58ζ22+ζ58−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46ζ34+ζ46000000−1+i3−1+i3−1+i3−1+i31−i31−i3−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38ζ2+ζ38−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26000000
χ632-22-22i−2i−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000−1−i31+i3−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−ζ22−ζ58ζ22+ζ58−ζ22−ζ58ζ22+ζ58ζ7+ζ43−ζ7−ζ43−ζ34−ζ46ζ34+ζ46−ζ34−ζ46ζ34+ζ46ζ19+ζ31−ζ19−ζ31000000−1+i31−i3−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−ζ2−ζ38ζ2+ζ38−ζ2−ζ38ζ2+ζ38ζ23+ζ47−ζ23−ζ47−ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ14+ζ26ζ11+ζ59−ζ11−ζ59000000
χ642-22-2−2i2i−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000−1−i31+i3−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−ζ22−ζ58ζ22+ζ58−ζ22−ζ58ζ22+ζ58−ζ7−ζ43ζ7+ζ43−ζ34−ζ46ζ34+ζ46−ζ34−ζ46ζ34+ζ46−ζ19−ζ31ζ19+ζ31000000−1+i31−i3−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−ζ2−ζ38ζ2+ζ38−ζ2−ζ38ζ2+ζ38−ζ23−ζ47ζ23+ζ47−ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ14+ζ26−ζ11−ζ59ζ11+ζ59000000
χ6544-2-200−1+5−1+51−521−5200−1−5−1−51+521+5200000000−2−2i3−2−2i31+i31+i300−2ζ22−2ζ58−2ζ22−2ζ58ζ22+ζ58ζ22+ζ5800−2ζ34−2ζ46−2ζ34−2ζ46ζ34+ζ46ζ34+ζ4600000000−2+2i3−2+2i31−i31−i300−2ζ2−2ζ38−2ζ2−2ζ38ζ2+ζ38ζ2+ζ3800−2ζ14−2ζ26−2ζ14−2ζ26ζ14+ζ26ζ14+ζ2600000000
χ664-4-2200−1+51−51−52−1+5200−1−51+51+52−1−5200000000−2−2i32+2i31+i3−1−i300−2ζ22−2ζ582ζ22+2ζ58ζ22+ζ58−ζ22−ζ5800−2ζ34−2ζ462ζ34+2ζ46ζ34+ζ46−ζ34−ζ4600000000−2+2i32−2i31−i3−1+i300−2ζ2−2ζ382ζ2+2ζ38ζ2+ζ38−ζ2−ζ3800−2ζ14−2ζ262ζ14+2ζ26ζ14+ζ26−ζ14−ζ2600000000
χ67222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38000000
χ682222-2-2−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+521−521−52000000−1−i3−1−i3−1−i3−1−i31+i31+i3−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46ζ34+ζ46−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58ζ22+ζ58000000−1+i3−1+i3−1+i3−1+i31−i31−i3−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38ζ2+ζ38000000
χ692-22-22i−2i−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000−1−i31+i3−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−ζ34−ζ46ζ34+ζ46−ζ34−ζ46ζ34+ζ46ζ19+ζ31−ζ19−ζ31−ζ22−ζ58ζ22+ζ58−ζ22−ζ58ζ22+ζ58ζ7+ζ43−ζ7−ζ43000000−1+i31−i3−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ14+ζ26ζ11+ζ59−ζ11−ζ59−ζ2−ζ38ζ2+ζ38−ζ2−ζ38ζ2+ζ38ζ23+ζ47−ζ23−ζ47000000
χ702-22-2−2i2i−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000−1−i31+i3−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−ζ34−ζ46ζ34+ζ46−ζ34−ζ46ζ34+ζ46−ζ19−ζ31ζ19+ζ31−ζ22−ζ58ζ22+ζ58−ζ22−ζ58ζ22+ζ58−ζ7−ζ43ζ7+ζ43000000−1+i31−i3−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ14+ζ26−ζ11−ζ59ζ11+ζ59−ζ2−ζ38ζ2+ζ38−ζ2−ζ38ζ2+ζ38−ζ23−ζ47ζ23+ζ47000000
χ7144-2-200−1−5−1−51+521+5200−1+5−1+51−521−5200000000−2−2i3−2−2i31+i31+i300−2ζ34−2ζ46−2ζ34−2ζ46ζ34+ζ46ζ34+ζ4600−2ζ22−2ζ58−2ζ22−2ζ58ζ22+ζ58ζ22+ζ5800000000−2+2i3−2+2i31−i31−i300−2ζ14−2ζ26−2ζ14−2ζ26ζ14+ζ26ζ14+ζ2600−2ζ2−2ζ38−2ζ2−2ζ38ζ2+ζ38ζ2+ζ3800000000
χ724-4-2200−1−51+51+52−1−5200−1+51−51−52−1+5200000000−2−2i32+2i31+i3−1−i300−2ζ34−2ζ462ζ34+2ζ46ζ34+ζ46−ζ34−ζ4600−2ζ22−2ζ582ζ22+2ζ58ζ22+ζ58−ζ22−ζ5800000000−2+2i32−2i31−i3−1+i300−2ζ14−2ζ262ζ14+2ζ26ζ14+ζ26−ζ14−ζ2600−2ζ2−2ζ382ζ2+2ζ38ζ2+ζ38−ζ2−ζ3800000000

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