Finite Group Databasebeta

← Group #11746700

Character table — Group #11746700

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112444448888888202020204040404011244444888888820202020404040401124444488888882020202040404040
order12245101010210101010202044448888366121530303063030303060601212121224242424366121530303063030303060601212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-11111111111111111111-1-1-1-11111111111111111111-1-1-1-1
χ3111111111111111-1-1-1-1ii−i−i111111111111111-1-1-1-1ii−i−i111111111111111-1-1-1-1ii−i−i
χ4111111111111111-1-1-1-1−i−iii111111111111111-1-1-1-1−i−iii111111111111111-1-1-1-1−i−iii
χ511111111-1-1-1-1-11111-1-1i−ii−i11111111-1-1-1-1-11111-1-1i−ii−i11111111-1-1-1-1-11111-1-1i−ii−i
χ611111111-1-1-1-1-11111-1-1−ii−ii11111111-1-1-1-1-11111-1-1−ii−ii11111111-1-1-1-1-11111-1-1−ii−ii
χ711111111-1-1-1-1-111-1-1111-1-1111111111-1-1-1-1-111-1-1111-1-1111111111-1-1-1-1-111-1-1111-1-11
χ811111111-1-1-1-1-111-1-111-111-111111111-1-1-1-1-111-1-111-111-111111111-1-1-1-1-111-1-111-111-1
χ9222-2222200000-2-2002-20000222-2222200000-2-2002-20000222-2222200000-2-2002-20000
χ10222-2222200000-2-200-220000222-2222200000-2-200-220000222-2222200000-2-200-220000
χ114444-1-1-1-14-1-1-1-1-1-1000000004444-1-1-1-14-1-1-1-1-1-1000000004444-1-1-1-14-1-1-1-1-1-100000000
χ124444-1-1-1-1-41111-1-1000000004444-1-1-1-1-41111-1-1000000004444-1-1-1-1-41111-1-100000000
χ13444-4-1-1-1-1055−5−51100000000444-4-1-1-1-1055−5−51100000000444-4-1-1-1-1055−5−51100000000
χ14444-4-1-1-1-10−5−5551100000000444-4-1-1-1-10−5−5551100000000444-4-1-1-1-10−5−5551100000000
χ1544-404-4-4400000000000000044-404-4-4400000000000000044-404-4-44000000000000000
χ1644-40-111-10ζ2−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−ζ585−50000000044-40-111-10ζ2−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−ζ585−50000000044-40-111-10ζ2−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−ζ585−500000000
χ1744-40-111-10−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−ζ58−550000000044-40-111-10−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−ζ58−550000000044-40-111-10−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−ζ58−5500000000
χ1844-40-111-10−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+ζ585−50000000044-40-111-10−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+ζ585−50000000044-40-111-10−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+ζ585−500000000
χ1944-40-111-10ζ2+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+ζ58−550000000044-40-111-10ζ2+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+ζ58−550000000044-40-111-10ζ2+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+ζ58−5500000000
χ204-400400-400000002i−2i0000004-400400-400000002i−2i0000004-400400-400000002i−2i000000
χ214-400400-40000000−2i2i0000004-400400-40000000−2i2i0000004-400400-40000000−2i2i000000
χ228-800-225−2520000000000000008-800-225−2520000000000000008-800-225−252000000000000000
χ238-800-2−252520000000000000008-800-2−252520000000000000008-800-2−25252000000000000000
χ2411111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ251111111111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32
χ26111111111111111-1-1-1-1ii−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+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−i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ27111111111111111-1-1-1-1−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+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−i321+i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ2811111111-1-1-1-1-11111-1-1i−ii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+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−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ2911111111-1-1-1-1-11111-1-1−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−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−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ3011111111-1-1-1-1-111-1-1111-1-11−1+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+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32
χ3111111111-1-1-1-1-111-1-111-111-1−1+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+i32−1+i321−i32−1+i32−1+i321−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−i32−1−i321+i32−1−i32−1−i321+i32
χ32222-2222200000-2-2002-20000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3000001−i31−i300−1+i31−i30000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3000001+i31+i300−1−i31+i30000
χ33222-2222200000-2-200-220000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3000001−i31−i3001−i3−1+i30000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3000001+i31+i3001+i3−1−i30000
χ344444-1-1-1-14-1-1-1-1-1-100000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i321−i3200000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i321+i3200000000
χ354444-1-1-1-1-41111-1-100000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i322−2i3−1+i32−1+i32−1+i32−1+i321−i321−i3200000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i322+2i3−1−i32−1−i32−1−i32−1−i321+i321+i3200000000
χ36444-4-1-1-1-1055−5−51100000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−1+i32−1+i3200000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−1−i32−1−i3200000000
χ37444-4-1-1-1-10−5−5551100000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38−1+i32−1+i3200000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58−1−i32−1−i3200000000
χ3844-404-4-44000000000000000−2+2i3−2+2i32−2i30−2+2i32−2i32−2i3−2+2i3000000000000000−2−2i3−2−2i32+2i30−2−2i32+2i32+2i3−2−2i3000000000000000
χ3944-40-111-10ζ2−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−ζ585−500000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i320−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ38ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ3800000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i320−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ58ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ5800000000
χ4044-40-111-10−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−ζ58−5500000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i320ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ38ζ2−ζ14+ζ26−ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ3800000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i320ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ58ζ22−ζ34+ζ46−ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ5800000000
χ4144-40-111-10−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+ζ585−500000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i320ζ2−ζ14+ζ26−ζ38−ζ2+ζ14−ζ26+ζ38−ζ2−ζ14+ζ26+ζ38ζ2+ζ14−ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ3800000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i320ζ22−ζ34+ζ46−ζ58−ζ22+ζ34−ζ46+ζ58−ζ22−ζ34+ζ46+ζ58ζ22+ζ34−ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ5800000000
χ4244-40-111-10ζ2+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+ζ58−5500000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i320−ζ2−ζ14+ζ26+ζ38ζ2+ζ14−ζ26−ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ3800000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i320−ζ22−ζ34+ζ46+ζ58ζ22+ζ34−ζ46−ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ5800000000
χ434-400400-400000002i−2i000000−2+2i32−2i300−2+2i3002−2i30000000−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59000000−2−2i32+2i300−2−2i3002+2i30000000−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43000000
χ444-400400-40000000−2i2i000000−2+2i32−2i300−2+2i3002−2i300000002ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59000000−2−2i32+2i300−2−2i3002+2i300000002ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43000000
χ458-800-225−252000000000000000−4+4i34−4i3001−i3−2ζ2+2ζ14+2ζ26−2ζ382ζ2−2ζ14−2ζ26+2ζ38−1+i3000000000000000−4−4i34+4i3001+i3−2ζ22+2ζ34+2ζ46−2ζ582ζ22−2ζ34−2ζ46+2ζ58−1−i3000000000000000
χ468-800-2−25252000000000000000−4+4i34−4i3001−i32ζ2−2ζ14−2ζ26+2ζ38−2ζ2+2ζ14+2ζ26−2ζ38−1+i3000000000000000−4−4i34+4i3001+i32ζ22−2ζ34−2ζ46+2ζ58−2ζ22+2ζ34+2ζ46−2ζ58−1−i3000000000000000
χ4711111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ481111111111111111111-1-1-1-1−1−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−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+i321−i321−i321−i321−i32
χ49111111111111111-1-1-1-1ii−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−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+i321−i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59
χ50111111111111111-1-1-1-1−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−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+i321−i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59
χ5111111111-1-1-1-1-11111-1-1i−ii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+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+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ5211111111-1-1-1-1-11111-1-1−ii−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−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+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ5311111111-1-1-1-1-111-1-1111-1-11−1−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−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i32−1+i32
χ5411111111-1-1-1-1-111-1-111-111-1−1−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−i32−1−i321+i32−1−i32−1−i321+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+i32−1+i321−i32−1+i32−1+i321−i32
χ55222-2222200000-2-2002-20000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3000001+i31+i300−1−i31+i30000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3000001−i31−i300−1+i31−i30000
χ56222-2222200000-2-200-220000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3000001+i31+i3001+i3−1−i30000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3000001−i31−i3001−i3−1+i30000
χ574444-1-1-1-14-1-1-1-1-1-100000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i321−i3200000000
χ584444-1-1-1-1-41111-1-100000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i322+2i3−1−i32−1−i32−1−i32−1−i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i322−2i3−1+i32−1+i32−1+i32−1+i321−i321−i3200000000
χ59444-4-1-1-1-1055−5−51100000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−1+i32−1+i3200000000
χ60444-4-1-1-1-10−5−5551100000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38−1+i32−1+i3200000000
χ6144-404-4-44000000000000000−2−2i3−2−2i32+2i30−2−2i32+2i32+2i3−2−2i3000000000000000−2+2i3−2+2i32−2i30−2+2i32−2i32−2i3−2+2i3000000000000000
χ6244-40-111-10ζ2−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−ζ585−500000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i320−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ58ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ5800000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i320−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ38ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ3800000000
χ6344-40-111-10−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−ζ58−5500000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i320ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ58ζ22−ζ34+ζ46−ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ5800000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i320ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ38ζ2−ζ14+ζ26−ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ3800000000
χ6444-40-111-10−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+ζ585−500000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i320ζ22−ζ34+ζ46−ζ58−ζ22+ζ34−ζ46+ζ58−ζ22−ζ34+ζ46+ζ58ζ22+ζ34−ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ5800000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i320ζ2−ζ14+ζ26−ζ38−ζ2+ζ14−ζ26+ζ38−ζ2−ζ14+ζ26+ζ38ζ2+ζ14−ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ3800000000
χ6544-40-111-10ζ2+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+ζ58−5500000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i320−ζ22−ζ34+ζ46+ζ58ζ22+ζ34−ζ46−ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ5800000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i320−ζ2−ζ14+ζ26+ζ38ζ2+ζ14−ζ26−ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ3800000000
χ664-400400-400000002i−2i000000−2−2i32+2i300−2−2i3002+2i30000000−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43000000−2+2i32−2i300−2+2i3002−2i30000000−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59000000
χ674-400400-40000000−2i2i000000−2−2i32+2i300−2−2i3002+2i300000002ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43000000−2+2i32−2i300−2+2i3002−2i300000002ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59000000
χ688-800-225−252000000000000000−4−4i34+4i3001+i3−2ζ22+2ζ34+2ζ46−2ζ582ζ22−2ζ34−2ζ46+2ζ58−1−i3000000000000000−4+4i34−4i3001−i3−2ζ2+2ζ14+2ζ26−2ζ382ζ2−2ζ14−2ζ26+2ζ38−1+i3000000000000000
χ698-800-2−25252000000000000000−4−4i34+4i3001+i32ζ22−2ζ34−2ζ46+2ζ58−2ζ22+2ζ34+2ζ46−2ζ58−1−i3000000000000000−4+4i34−4i3001−i32ζ2−2ζ14−2ζ26+2ζ38−2ζ2+2ζ14+2ζ26−2ζ38−1+i3000000000000000

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