Finite Group Databasebeta

← Group #14279498

Character table — Group #14279498

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112444448888888161616161640404040808080801124444488888881616161616404040408080808011244444888888816161616164040404080808080
order12245101010420202020202042020202022884444366121530303012606060606060126060606066242412121212366121530303012606060606060126060606066242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1
χ311111111111111111111-1-1-1-1ii−i−i11111111111111111111-1-1-1-1ii−i−i11111111111111111111-1-1-1-1ii−i−i
χ411111111111111111111-1-1-1-1−i−iii11111111111111111111-1-1-1-1−i−iii11111111111111111111-1-1-1-1−i−iii
χ5111111111111111-1-1-1-1-111-1-11-11-1111111111111111-1-1-1-1-111-1-11-11-1111111111111111-1-1-1-1-111-1-11-11-1
χ6111111111111111-1-1-1-1-111-1-1-11-11111111111111111-1-1-1-1-111-1-1-11-11111111111111111-1-1-1-1-111-1-1-11-11
χ7111111111111111-1-1-1-1-1-1-111i−i−ii111111111111111-1-1-1-1-1-1-111i−i−ii111111111111111-1-1-1-1-1-1-111i−i−ii
χ8111111111111111-1-1-1-1-1-1-111−iii−i111111111111111-1-1-1-1-1-1-111−iii−i111111111111111-1-1-1-1-1-1-111−iii−i
χ922222222-222-2-2-2-2000002-200000022222222-222-2-2-2-2000002-200000022222222-222-2-2-2-2000002-2000000
χ1022222222-222-2-2-2-200000-2200000022222222-222-2-2-2-200000-2200000022222222-222-2-2-2-200000-22000000
χ114444-1-1-1-14-1-1-1-1-1-14-1-1-1-1000000004444-1-1-1-14-1-1-1-1-1-14-1-1-1-1000000004444-1-1-1-14-1-1-1-1-1-14-1-1-1-100000000
χ124444-1-1-1-14-1-1-1-1-1-1-41111000000004444-1-1-1-14-1-1-1-1-1-1-41111000000004444-1-1-1-14-1-1-1-1-1-1-4111100000000
χ134444-1-1-1-1-4-1-11111055−5−5000000004444-1-1-1-1-4-1-11111055−5−5000000004444-1-1-1-1-4-1-11111055−5−500000000
χ144444-1-1-1-1-4-1-111110−5−555000000004444-1-1-1-1-4-1-111110−5−555000000004444-1-1-1-1-4-1-111110−5−55500000000
χ15444-444440-4-400000000000000000444-444440-4-400000000000000000444-444440-4-400000000000000000
χ16444-4-1-1-1-101155−5−50ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800000000444-4-1-1-1-101155−5−50ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800000000444-4-1-1-1-101155−5−50ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800000000
χ17444-4-1-1-1-101155−5−50−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5800000000444-4-1-1-1-101155−5−50−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5800000000444-4-1-1-1-101155−5−50−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5800000000
χ18444-4-1-1-1-1011−5−5550−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ5800000000444-4-1-1-1-1011−5−5550−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ5800000000444-4-1-1-1-1011−5−5550−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ5800000000
χ19444-4-1-1-1-1011−5−5550ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800000000444-4-1-1-1-1011−5−5550ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800000000444-4-1-1-1-1011−5−5550ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800000000
χ2044-4044-4-4000000000000002i−2i000044-4044-4-4000000000000002i−2i000044-4044-4-4000000000000002i−2i0000
χ2144-4044-4-400000000000000−2i2i000044-4044-4-400000000000000−2i2i000044-4044-4-400000000000000−2i2i0000
χ2288-80-2-222025−250000000000000000088-80-2-222025−250000000000000000088-80-2-222025−2500000000000000000
χ2388-80-2-2220−25250000000000000000088-80-2-2220−25250000000000000000088-80-2-2220−252500000000000000000
χ248-8008-800000000000000000000008-8008-800000000000000000000008-8008-80000000000000000000000
χ258-800-2225−25000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000008-800-2225−25000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000008-800-2225−25000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000
χ268-800-2225−250002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000008-800-2225−250002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000008-800-2225−250002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000
χ278-800-22−25250002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000008-800-22−25250002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000008-800-22−25250002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000
χ288-800-22−2525000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000008-800-22−2525000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000008-800-22−2525000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000
χ291111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ30111111111111111111111111-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ3111111111111111111111-1-1-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ3211111111111111111111-1-1-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ33111111111111111-1-1-1-1-111-1-11-11-1−1+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+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+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−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ34111111111111111-1-1-1-1-111-1-1-11-11−1+i32−1+i32−1+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−i32−1+i32−1+i321−i321−i321−i32−1+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+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ35111111111111111-1-1-1-1-1-1-111i−i−ii−1+i32−1+i32−1+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−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−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+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ36111111111111111-1-1-1-1-1-1-111−iii−i−1+i32−1+i32−1+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−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−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+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ3722222222-222-2-2-2-2000002-2000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i300000−1+i31−i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i300000−1−i31+i3000000
χ3822222222-222-2-2-2-200000-22000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3000001−i3−1+i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3000001+i3−1−i3000000
χ394444-1-1-1-14-1-1-1-1-1-14-1-1-1-100000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i3200000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i3200000000
χ404444-1-1-1-14-1-1-1-1-1-1-4111100000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i321−i322−2i3−1+i32−1+i32−1+i32−1+i3200000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i321+i322+2i3−1−i32−1−i32−1−i32−1−i3200000000
χ414444-1-1-1-1-4-1-11111055−5−500000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i322−2i31−i321−i32−1+i32−1+i32−1+i32−1+i320−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ3800000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i322+2i31+i321+i32−1−i32−1−i32−1−i32−1−i320−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ5800000000
χ424444-1-1-1-1-4-1-111110−5−55500000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i322−2i31−i321−i32−1+i32−1+i32−1+i32−1+i320ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ3800000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i322+2i31+i321+i32−1−i32−1−i32−1−i32−1−i320ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ5800000000
χ43444-444440-4-400000000000000000−2+2i3−2+2i3−2+2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i302−2i32−2i300000000000000000−2−2i3−2−2i3−2−2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i302+2i32+2i300000000000000000
χ44444-4-1-1-1-101155−5−50ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320−1+i32−1+i32−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ380−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ38ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ3800000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320−1−i32−1−i32−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ580−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ58ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ5800000000
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χ47444-4-1-1-1-1011−5−5550ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320−1+i32−1+i32ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ380−ζ2−ζ14+ζ26+ζ38ζ2+ζ14−ζ26−ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ3800000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320−1−i32−1−i32ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ580−ζ22−ζ34+ζ46+ζ58ζ22+ζ34−ζ46−ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ5800000000
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χ568-800-22−2525000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000−4+4i34−4i3001−i3−1+i32ζ2−2ζ14−2ζ26+2ζ38−2ζ2+2ζ14+2ζ26−2ζ38000−2ζ23+2ζ472ζ23−2ζ472ζ11−2ζ59−2ζ11+2ζ590000000000000−4−4i34+4i3001+i3−1−i32ζ22−2ζ34−2ζ46+2ζ58−2ζ22+2ζ34+2ζ46−2ζ580002ζ7−2ζ43−2ζ7+2ζ43−2ζ19+2ζ312ζ19−2ζ310000000000000
χ571111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ58111111111111111111111111-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ5911111111111111111111-1-1-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59
χ6011111111111111111111-1-1-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59
χ61111111111111111-1-1-1-1-111-1-11-11-1−1−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−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−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+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ62111111111111111-1-1-1-1-111-1-1-11-11−1−i32−1−i32−1−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+i32−1−i32−1−i321+i321+i321+i32−1−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−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ63111111111111111-1-1-1-1-1-1-111i−i−ii−1−i32−1−i32−1−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+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+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−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ64111111111111111-1-1-1-1-1-1-111−iii−i−1−i32−1−i32−1−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+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+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−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ6522222222-222-2-2-2-2000002-2000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i300000−1−i31+i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i300000−1+i31−i3000000
χ6622222222-222-2-2-2-200000-22000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3000001+i3−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3000001−i3−1+i3000000
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χ704444-1-1-1-1-4-1-111110−5−55500000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i322+2i31+i321+i32−1−i32−1−i32−1−i32−1−i320ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ5800000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i322−2i31−i321−i32−1+i32−1+i32−1+i32−1+i320ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ3800000000
χ71444-444440-4-400000000000000000−2−2i3−2−2i3−2−2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i302+2i32+2i300000000000000000−2+2i3−2+2i3−2+2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i302−2i32−2i300000000000000000
χ72444-4-1-1-1-101155−5−50ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320−1−i32−1−i32−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ580−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ58ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ5800000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320−1+i32−1+i32−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ380−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ38ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ3800000000
χ73444-4-1-1-1-101155−5−50−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5800000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320−1−i32−1−i32−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ580ζ22−ζ34+ζ46−ζ58−ζ22+ζ34−ζ46+ζ58−ζ22−ζ34+ζ46+ζ58ζ22+ζ34−ζ46−ζ5800000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320−1+i32−1+i32−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ380ζ2−ζ14+ζ26−ζ38−ζ2+ζ14−ζ26+ζ38−ζ2−ζ14+ζ26+ζ38ζ2+ζ14−ζ26−ζ3800000000
χ74444-4-1-1-1-1011−5−5550−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ5800000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320−1−i32−1−i32ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ580ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ58ζ22−ζ34+ζ46−ζ58−ζ22+ζ34−ζ46+ζ5800000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320−1+i32−1+i32ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ380ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ38ζ2−ζ14+ζ26−ζ38−ζ2+ζ14−ζ26+ζ3800000000
χ75444-4-1-1-1-1011−5−5550ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320−1−i32−1−i32ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ580−ζ22−ζ34+ζ46+ζ58ζ22+ζ34−ζ46−ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ5800000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320−1+i32−1+i32ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ380−ζ2−ζ14+ζ26+ζ38ζ2+ζ14−ζ26−ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ3800000000
χ7644-4044-4-4000000000000002i−2i0000−2−2i3−2−2i32+2i30−2−2i3−2−2i32+2i32+2i300000000000000−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ430000−2+2i3−2+2i32−2i30−2+2i3−2+2i32−2i32−2i300000000000000−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ590000
χ7744-4044-4-400000000000000−2i2i0000−2−2i3−2−2i32+2i30−2−2i3−2−2i32+2i32+2i3000000000000002ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ430000−2+2i3−2+2i32−2i30−2+2i3−2+2i32−2i32−2i3000000000000002ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ590000
χ7888-80-2-222025−2500000000000000000−4−4i3−4−4i34+4i301+i31+i3−1−i3−1−i30−2ζ22+2ζ34+2ζ46−2ζ582ζ22−2ζ34−2ζ46+2ζ5800000000000000000−4+4i3−4+4i34−4i301−i31−i3−1+i3−1+i30−2ζ2+2ζ14+2ζ26−2ζ382ζ2−2ζ14−2ζ26+2ζ3800000000000000000
χ7988-80-2-2220−252500000000000000000−4−4i3−4−4i34+4i301+i31+i3−1−i3−1−i302ζ22−2ζ34−2ζ46+2ζ58−2ζ22+2ζ34+2ζ46−2ζ5800000000000000000−4+4i3−4+4i34−4i301−i31−i3−1+i3−1+i302ζ2−2ζ14−2ζ26+2ζ38−2ζ2+2ζ14+2ζ26−2ζ3800000000000000000
χ808-8008-80000000000000000000000−4−4i34+4i300−4−4i34+4i30000000000000000000000−4+4i34−4i300−4+4i34−4i30000000000000000000000
χ818-800-2225−25000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000−4−4i34+4i3001+i3−1−i3−2ζ22+2ζ34+2ζ46−2ζ582ζ22−2ζ34−2ζ46+2ζ58000−2ζ19+2ζ312ζ19−2ζ31−2ζ7+2ζ432ζ7−2ζ430000000000000−4+4i34−4i3001−i3−1+i3−2ζ2+2ζ14+2ζ26−2ζ382ζ2−2ζ14−2ζ26+2ζ380002ζ11−2ζ59−2ζ11+2ζ592ζ23−2ζ47−2ζ23+2ζ470000000000000
χ828-800-2225−250002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000−4−4i34+4i3001+i3−1−i3−2ζ22+2ζ34+2ζ46−2ζ582ζ22−2ζ34−2ζ46+2ζ580002ζ19−2ζ31−2ζ19+2ζ312ζ7−2ζ43−2ζ7+2ζ430000000000000−4+4i34−4i3001−i3−1+i3−2ζ2+2ζ14+2ζ26−2ζ382ζ2−2ζ14−2ζ26+2ζ38000−2ζ11+2ζ592ζ11−2ζ59−2ζ23+2ζ472ζ23−2ζ470000000000000
χ838-800-22−25250002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000−4−4i34+4i3001+i3−1−i32ζ22−2ζ34−2ζ46+2ζ58−2ζ22+2ζ34+2ζ46−2ζ58000−2ζ7+2ζ432ζ7−2ζ432ζ19−2ζ31−2ζ19+2ζ310000000000000−4+4i34−4i3001−i3−1+i32ζ2−2ζ14−2ζ26+2ζ38−2ζ2+2ζ14+2ζ26−2ζ380002ζ23−2ζ47−2ζ23+2ζ47−2ζ11+2ζ592ζ11−2ζ590000000000000
χ848-800-22−2525000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000−4−4i34+4i3001+i3−1−i32ζ22−2ζ34−2ζ46+2ζ58−2ζ22+2ζ34+2ζ46−2ζ580002ζ7−2ζ43−2ζ7+2ζ43−2ζ19+2ζ312ζ19−2ζ310000000000000−4+4i34−4i3001−i3−1+i32ζ2−2ζ14−2ζ26+2ζ38−2ζ2+2ζ14+2ζ26−2ζ38000−2ζ23+2ζ472ζ23−2ζ472ζ11−2ζ59−2ζ11+2ζ590000000000000

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