Finite Group Databasebeta

← Group #11762165

Character table — Group #11762165

Order 1080.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size144999288181818288181818520204545451449992881818182881818185202045454514499928818181828818181852020454545
order133244515151020205151510202026624433361212151515306060151515306060666612123336121215151530606015151530606066661212
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
χ3111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i
χ4111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii
χ541-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-2000
χ64-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-21000
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
χ9111-1i−i111-1i−i111-1i−i-1-1-11−ii111-1i−i111-1i−i111-1i−i-1-1-11−ii111-1i−i111-1i−i111-1i−i-1-1-11−ii
χ10111-1−ii111-1−ii111-1−ii-1-1-11i−i111-1−ii111-1−ii111-1−ii-1-1-11i−i111-1−ii111-1−ii111-1−ii-1-1-11i−i
χ1141-200041-200041-2000-4-1200041-200041-200041-2000-4-1200041-200041-200041-2000-4-12000
χ124-210004-210004-21000-42-10004-210004-210004-21000-42-10004-210004-210004-21000-42-1000
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
χ15222-22i−2i−1+52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000222-22i−2i−1+52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000222-22i−2i−1+52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000
χ16222-2−2i2i−1+52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000222-2−2i2i−1+52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000222-2−2i2i−1+52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000
χ1782-4000−2+25−1+521−5000−2−25−1−521+500000000082-4000−2+25−1+521−5000−2−25−1−521+500000000082-4000−2+25−1+521−5000−2−25−1−521+5000000000
χ188-42000−2+251−5−1+52000−2−251+5−1−520000000008-42000−2+251−5−1+52000−2−251+5−1−520000000008-42000−2+251−5−1+52000−2−251+5−1−52000000000
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
χ21222-22i−2i−1−52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000222-22i−2i−1−52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000222-22i−2i−1−52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000
χ22222-2−2i2i−1−52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000222-2−2i2i−1−52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000222-2−2i2i−1−52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000
χ2382-4000−2−25−1−521+5000−2+25−1+521−500000000082-4000−2−25−1−521+5000−2+25−1+521−500000000082-4000−2−25−1−521+5000−2+25−1+521−5000000000
χ248-42000−2−251+5−1−52000−2+251−5−1+520000000008-42000−2−251+5−1−52000−2+251−5−1+520000000008-42000−2−251+5−1−52000−2+251−5−1+52000000000
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
χ27111-1i−i111-1i−i111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ28111-1−ii111-1−ii111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ2941-200041-200041-200041-2000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000
χ304-210004-210004-210004-21000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000
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
χ33111-1i−i111-1i−i111-1i−i-1-1-11−ii−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ34111-1−ii111-1−ii111-1−ii-1-1-11i−i−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ3541-200041-200041-2000-4-12000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i30002−2i31−i32−1+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i30002+2i31+i32−1−i3000
χ364-210004-210004-21000-42-1000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i320002−2i3−1+i31−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i320002+2i3−1−i31+i32000
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
χ39222-22i−2i−1+52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000−1+i3−1+i3−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38ζ23+ζ47−ζ23−ζ47−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ11+ζ59−ζ11−ζ59000000−1−i3−1−i3−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58ζ7+ζ43−ζ7−ζ43−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46ζ19+ζ31−ζ19−ζ31000000
χ40222-2−2i2i−1+52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000−1+i3−1+i3−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38−ζ23−ζ47ζ23+ζ47−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26−ζ11−ζ59ζ11+ζ59000000−1−i3−1−i3−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58−ζ7−ζ43ζ7+ζ43−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46−ζ19−ζ31ζ19+ζ31000000
χ4182-4000−2+25−1+521−5000−2−25−1−521+5000000000−4+4i3−1+i32−2i3000−4ζ2−4ζ38−ζ2−ζ382ζ2+2ζ38000−4ζ14−4ζ26−ζ14−ζ262ζ14+2ζ26000000000−4−4i3−1−i32+2i3000−4ζ22−4ζ58−ζ22−ζ582ζ22+2ζ58000−4ζ34−4ζ46−ζ34−ζ462ζ34+2ζ46000000000
χ428-42000−2+251−5−1+52000−2−251+5−1−52000000000−4+4i32−2i3−1+i3000−4ζ2−4ζ382ζ2+2ζ38−ζ2−ζ38000−4ζ14−4ζ262ζ14+2ζ26−ζ14−ζ26000000000−4−4i32+2i3−1−i3000−4ζ22−4ζ582ζ22+2ζ58−ζ22−ζ58000−4ζ34−4ζ462ζ34+2ζ46−ζ34−ζ46000000000
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
χ45222-22i−2i−1−52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000−1+i3−1+i3−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ11+ζ59−ζ11−ζ59−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38ζ23+ζ47−ζ23−ζ47000000−1−i3−1−i3−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46ζ19+ζ31−ζ19−ζ31−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58ζ7+ζ43−ζ7−ζ43000000
χ46222-2−2i2i−1−52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000−1+i3−1+i3−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26−ζ11−ζ59ζ11+ζ59−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38−ζ23−ζ47ζ23+ζ47000000−1−i3−1−i3−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46−ζ19−ζ31ζ19+ζ31−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58−ζ7−ζ43ζ7+ζ43000000
χ4782-4000−2−25−1−521+5000−2+25−1+521−5000000000−4+4i3−1+i32−2i3000−4ζ14−4ζ26−ζ14−ζ262ζ14+2ζ26000−4ζ2−4ζ38−ζ2−ζ382ζ2+2ζ38000000000−4−4i3−1−i32+2i3000−4ζ34−4ζ46−ζ34−ζ462ζ34+2ζ46000−4ζ22−4ζ58−ζ22−ζ582ζ22+2ζ58000000000
χ488-42000−2−251+5−1−52000−2+251−5−1+52000000000−4+4i32−2i3−1+i3000−4ζ14−4ζ262ζ14+2ζ26−ζ14−ζ26000−4ζ2−4ζ382ζ2+2ζ38−ζ2−ζ38000000000−4−4i32+2i3−1−i3000−4ζ34−4ζ462ζ34+2ζ46−ζ34−ζ46000−4ζ22−4ζ582ζ22+2ζ58−ζ22−ζ58000000000
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
χ51111-1i−i111-1i−i111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ52111-1−ii111-1−ii111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ5341-200041-200041-200041-2000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000
χ544-210004-210004-210004-21000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000
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
χ57111-1i−i111-1i−i111-1i−i-1-1-11−ii−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ58111-1−ii111-1−ii111-1−ii-1-1-11i−i−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ5941-200041-200041-2000-4-12000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i30002+2i31+i32−1−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i30002−2i31−i32−1+i3000
χ604-210004-210004-21000-42-1000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i320002+2i3−1−i31+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i320002−2i3−1+i31−i32000
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
χ63222-22i−2i−1+52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000−1−i3−1−i3−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58ζ7+ζ43−ζ7−ζ43−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46ζ19+ζ31−ζ19−ζ31000000−1+i3−1+i3−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38ζ23+ζ47−ζ23−ζ47−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ11+ζ59−ζ11−ζ59000000
χ64222-2−2i2i−1+52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000−1−i3−1−i3−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58−ζ7−ζ43ζ7+ζ43−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46−ζ19−ζ31ζ19+ζ31000000−1+i3−1+i3−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38−ζ23−ζ47ζ23+ζ47−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26−ζ11−ζ59ζ11+ζ59000000
χ6582-4000−2+25−1+521−5000−2−25−1−521+5000000000−4−4i3−1−i32+2i3000−4ζ22−4ζ58−ζ22−ζ582ζ22+2ζ58000−4ζ34−4ζ46−ζ34−ζ462ζ34+2ζ46000000000−4+4i3−1+i32−2i3000−4ζ2−4ζ38−ζ2−ζ382ζ2+2ζ38000−4ζ14−4ζ26−ζ14−ζ262ζ14+2ζ26000000000
χ668-42000−2+251−5−1+52000−2−251+5−1−52000000000−4−4i32+2i3−1−i3000−4ζ22−4ζ582ζ22+2ζ58−ζ22−ζ58000−4ζ34−4ζ462ζ34+2ζ46−ζ34−ζ46000000000−4+4i32−2i3−1+i3000−4ζ2−4ζ382ζ2+2ζ38−ζ2−ζ38000−4ζ14−4ζ262ζ14+2ζ26−ζ14−ζ26000000000
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
χ69222-22i−2i−1−52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000−1−i3−1−i3−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46ζ19+ζ31−ζ19−ζ31−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58ζ7+ζ43−ζ7−ζ43000000−1+i3−1+i3−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ11+ζ59−ζ11−ζ59−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38ζ23+ζ47−ζ23−ζ47000000
χ70222-2−2i2i−1−52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000−1−i3−1−i3−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46ζ34+ζ46−ζ19−ζ31ζ19+ζ31−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58ζ22+ζ58−ζ7−ζ43ζ7+ζ43000000−1+i3−1+i3−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26−ζ11−ζ59ζ11+ζ59−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38ζ2+ζ38−ζ23−ζ47ζ23+ζ47000000
χ7182-4000−2−25−1−521+5000−2+25−1+521−5000000000−4−4i3−1−i32+2i3000−4ζ34−4ζ46−ζ34−ζ462ζ34+2ζ46000−4ζ22−4ζ58−ζ22−ζ582ζ22+2ζ58000000000−4+4i3−1+i32−2i3000−4ζ14−4ζ26−ζ14−ζ262ζ14+2ζ26000−4ζ2−4ζ38−ζ2−ζ382ζ2+2ζ38000000000
χ728-42000−2−251+5−1−52000−2+251−5−1+52000000000−4−4i32+2i3−1−i3000−4ζ34−4ζ462ζ34+2ζ46−ζ34−ζ46000−4ζ22−4ζ582ζ22+2ζ58−ζ22−ζ58000000000−4+4i32−2i3−1+i3000−4ζ14−4ζ262ζ14+2ζ26−ζ14−ζ26000−4ζ2−4ζ382ζ2+2ζ38−ζ2−ζ38000000000

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