Finite Group Databasebeta

← Group #4370

Character table — Group #4370

Order 180.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112222222222222215151122222222222222151511222222222222221515
order12355610101515151530303030443631515630301515151530303030121236315156303015151515303030301212
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-11111111111111111-1-11111111111111111-1-1
χ31-1111-1-1-11111-1-1-1-1i−i1-1111-1-1-11111-1-1-1-1i−i1-1111-1-1-11111-1-1-1-1i−i
χ41-1111-1-1-11111-1-1-1-1−ii1-1111-1-1-11111-1-1-1-1−ii1-1111-1-1-11111-1-1-1-1−ii
χ5222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200
χ6222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200
χ722-122-122-1-1-1-1-1-1-1-10022-122-122-1-1-1-1-1-1-1-10022-122-122-1-1-1-1-1-1-1-100
χ822-1−1−52−1+52-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ580022-1−1−52−1+52-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ580022-1−1−52−1+52-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ5800
χ922-1−1−52−1+52-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ380022-1−1−52−1+52-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ380022-1−1−52−1+52-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ3800
χ1022-1−1+52−1−52-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ340022-1−1+52−1−52-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ340022-1−1+52−1−52-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ3400
χ1122-1−1+52−1−52-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ460022-1−1+52−1−52-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ460022-1−1+52−1−52-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ4600
χ122-22−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52002-22−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52002-22−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200
χ132-22−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52002-22−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52002-22−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200
χ142-2-1221-2-2-1-1-1-11111002-2-1221-2-2-1-1-1-11111002-2-1221-2-2-1-1-1-1111100
χ152-2-1−1−52−1+5211+521−52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58002-2-1−1−52−1+5211+521−52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58002-2-1−1−52−1+5211+521−52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ5800
χ162-2-1−1−52−1+5211+521−52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38002-2-1−1−52−1+5211+521−52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38002-2-1−1−52−1+5211+521−52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ3800
χ172-2-1−1+52−1−5211−521+52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34002-2-1−1+52−1−5211−521+52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34002-2-1−1+52−1−5211−521+52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ3400
χ182-2-1−1+52−1−5211−521+52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46002-2-1−1+52−1−5211−521+52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46002-2-1−1+52−1−5211−521+52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ4600
χ19111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ201111111111111111-1-1−1+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−i32−1−i32−1−i32−1−i32−1−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+i32
χ211-1111-1-1-11111-1-1-1-1i−i−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ221-1111-1-1-11111-1-1-1-1−ii−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ23222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1+i3−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ3800−1−i3−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ5800
χ24222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+i3−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ2600−1−i3−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ4600
χ2522-122-122-1-1-1-1-1-1-1-100−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200
χ2622-1−1−52−1+52-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ5800−1+i3−1+i31−i32−ζ14−ζ26−ζ2−ζ381−i32−ζ14−ζ26−ζ2−ζ38ζ14+ζ34−ζ46ζ26−ζ34+ζ46ζ2+ζ22−ζ58−ζ22+ζ38+ζ58ζ14+ζ34−ζ46ζ26−ζ34+ζ46ζ2+ζ22−ζ58−ζ22+ζ38+ζ5800−1−i3−1−i31+i32−ζ34−ζ46−ζ22−ζ581+i32−ζ34−ζ46−ζ22−ζ58−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2+ζ38+ζ58ζ2+ζ22−ζ3800
χ2722-1−1−52−1+52-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ3800−1+i3−1+i31−i32−ζ14−ζ26−ζ2−ζ381−i32−ζ14−ζ26−ζ2−ζ38ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ22+ζ38+ζ58ζ2+ζ22−ζ58ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ22+ζ38+ζ58ζ2+ζ22−ζ5800−1−i3−1−i31+i32−ζ34−ζ46−ζ22−ζ581+i32−ζ34−ζ46−ζ22−ζ58ζ14−ζ26+ζ34−ζ14+ζ26+ζ46ζ2+ζ22−ζ38−ζ2+ζ38+ζ58ζ14−ζ26+ζ34−ζ14+ζ26+ζ46ζ2+ζ22−ζ38−ζ2+ζ38+ζ5800
χ2822-1−1+52−1−52-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ3400−1+i3−1+i31−i32−ζ2−ζ38−ζ14−ζ261−i32−ζ2−ζ38−ζ14−ζ26ζ2+ζ22−ζ58−ζ22+ζ38+ζ58ζ26−ζ34+ζ46ζ14+ζ34−ζ46ζ2+ζ22−ζ58−ζ22+ζ38+ζ58ζ26−ζ34+ζ46ζ14+ζ34−ζ4600−1−i3−1−i31+i32−ζ22−ζ58−ζ34−ζ461+i32−ζ22−ζ58−ζ34−ζ46−ζ2+ζ38+ζ58ζ2+ζ22−ζ38ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ2+ζ38+ζ58ζ2+ζ22−ζ38ζ14−ζ26+ζ34−ζ14+ζ26+ζ4600
χ2922-1−1+52−1−52-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ4600−1+i3−1+i31−i32−ζ2−ζ38−ζ14−ζ261−i32−ζ2−ζ38−ζ14−ζ26−ζ22+ζ38+ζ58ζ2+ζ22−ζ58ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ22+ζ38+ζ58ζ2+ζ22−ζ58ζ14+ζ34−ζ46ζ26−ζ34+ζ4600−1−i3−1−i31+i32−ζ22−ζ58−ζ34−ζ461+i32−ζ22−ζ58−ζ34−ζ46ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14+ζ26+ζ46ζ14−ζ26+ζ34ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14+ζ26+ζ46ζ14−ζ26+ζ3400
χ302-22−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−1+i31−i3−1+i3−ζ14−ζ26−ζ2−ζ381−i3ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ3800−1−i31+i3−1−i3−ζ34−ζ46−ζ22−ζ581+i3ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ5800
χ312-22−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−1+i31−i3−1+i3−ζ2−ζ38−ζ14−ζ261−i3ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ2600−1−i31+i3−1−i3−ζ22−ζ58−ζ34−ζ461+i3ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ4600
χ322-2-1221-2-2-1-1-1-1111100−1+i31−i31−i32−1+i3−1+i3−1+i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1−i31+i31+i32−1−i3−1−i3−1−i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200
χ332-2-1−1−52−1+5211+521−52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ5800−1+i31−i31−i32−ζ14−ζ26−ζ2−ζ38−1+i32ζ14+ζ26ζ2+ζ38ζ14+ζ34−ζ46ζ26−ζ34+ζ46ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ14−ζ34+ζ46−ζ26+ζ34−ζ46−ζ2−ζ22+ζ58ζ22−ζ38−ζ5800−1−i31+i31+i32−ζ34−ζ46−ζ22−ζ58−1−i32ζ34+ζ46ζ22+ζ58−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2+ζ38+ζ58ζ2+ζ22−ζ38ζ14−ζ26−ζ46−ζ14+ζ26−ζ34ζ2−ζ38−ζ58−ζ2−ζ22+ζ3800
χ342-2-1−1−52−1+5211+521−52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ3800−1+i31−i31−i32−ζ14−ζ26−ζ2−ζ38−1+i32ζ14+ζ26ζ2+ζ38ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ26+ζ34−ζ46−ζ14−ζ34+ζ46ζ22−ζ38−ζ58−ζ2−ζ22+ζ5800−1−i31+i31+i32−ζ34−ζ46−ζ22−ζ58−1−i32ζ34+ζ46ζ22+ζ58ζ14−ζ26+ζ34−ζ14+ζ26+ζ46ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14+ζ26−ζ34ζ14−ζ26−ζ46−ζ2−ζ22+ζ38ζ2−ζ38−ζ5800
χ352-2-1−1+52−1−5211−521+52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ3400−1+i31−i31−i32−ζ2−ζ38−ζ14−ζ26−1+i32ζ2+ζ38ζ14+ζ26ζ2+ζ22−ζ58−ζ22+ζ38+ζ58ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ2−ζ22+ζ58ζ22−ζ38−ζ58−ζ26+ζ34−ζ46−ζ14−ζ34+ζ4600−1−i31+i31+i32−ζ22−ζ58−ζ34−ζ46−1−i32ζ22+ζ58ζ34+ζ46−ζ2+ζ38+ζ58ζ2+ζ22−ζ38ζ14−ζ26+ζ34−ζ14+ζ26+ζ46ζ2−ζ38−ζ58−ζ2−ζ22+ζ38−ζ14+ζ26−ζ34ζ14−ζ26−ζ4600
χ362-2-1−1+52−1−5211−521+52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ4600−1+i31−i31−i32−ζ2−ζ38−ζ14−ζ26−1+i32ζ2+ζ38ζ14+ζ26−ζ22+ζ38+ζ58ζ2+ζ22−ζ58ζ14+ζ34−ζ46ζ26−ζ34+ζ46ζ22−ζ38−ζ58−ζ2−ζ22+ζ58−ζ14−ζ34+ζ46−ζ26+ζ34−ζ4600−1−i31+i31+i32−ζ22−ζ58−ζ34−ζ46−1−i32ζ22+ζ58ζ34+ζ46ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2−ζ22+ζ38ζ2−ζ38−ζ58ζ14−ζ26−ζ46−ζ14+ζ26−ζ3400
χ37111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ381111111111111111-1-1−1−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+i32−1+i32−1+i32−1+i32−1+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−i32
χ391-1111-1-1-11111-1-1-1-1i−i−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ401-1111-1-1-11111-1-1-1-1−ii−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ41222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−i3−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ5800−1+i3−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ3800
χ42222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1−i3−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ4600−1+i3−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ2600
χ4322-122-122-1-1-1-1-1-1-1-100−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200
χ4422-1−1−52−1+52-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ5800−1−i3−1−i31+i32−ζ34−ζ46−ζ22−ζ581+i32−ζ34−ζ46−ζ22−ζ58−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2+ζ38+ζ58ζ2+ζ22−ζ3800−1+i3−1+i31−i32−ζ14−ζ26−ζ2−ζ381−i32−ζ14−ζ26−ζ2−ζ38ζ14+ζ34−ζ46ζ26−ζ34+ζ46ζ2+ζ22−ζ58−ζ22+ζ38+ζ58ζ14+ζ34−ζ46ζ26−ζ34+ζ46ζ2+ζ22−ζ58−ζ22+ζ38+ζ5800
χ4522-1−1−52−1+52-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ3800−1−i3−1−i31+i32−ζ34−ζ46−ζ22−ζ581+i32−ζ34−ζ46−ζ22−ζ58ζ14−ζ26+ζ34−ζ14+ζ26+ζ46ζ2+ζ22−ζ38−ζ2+ζ38+ζ58ζ14−ζ26+ζ34−ζ14+ζ26+ζ46ζ2+ζ22−ζ38−ζ2+ζ38+ζ5800−1+i3−1+i31−i32−ζ14−ζ26−ζ2−ζ381−i32−ζ14−ζ26−ζ2−ζ38ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ22+ζ38+ζ58ζ2+ζ22−ζ58ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ22+ζ38+ζ58ζ2+ζ22−ζ5800
χ4622-1−1+52−1−52-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ3400−1−i3−1−i31+i32−ζ22−ζ58−ζ34−ζ461+i32−ζ22−ζ58−ζ34−ζ46−ζ2+ζ38+ζ58ζ2+ζ22−ζ38ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ2+ζ38+ζ58ζ2+ζ22−ζ38ζ14−ζ26+ζ34−ζ14+ζ26+ζ4600−1+i3−1+i31−i32−ζ2−ζ38−ζ14−ζ261−i32−ζ2−ζ38−ζ14−ζ26ζ2+ζ22−ζ58−ζ22+ζ38+ζ58ζ26−ζ34+ζ46ζ14+ζ34−ζ46ζ2+ζ22−ζ58−ζ22+ζ38+ζ58ζ26−ζ34+ζ46ζ14+ζ34−ζ4600
χ4722-1−1+52−1−52-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ4600−1−i3−1−i31+i32−ζ22−ζ58−ζ34−ζ461+i32−ζ22−ζ58−ζ34−ζ46ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14+ζ26+ζ46ζ14−ζ26+ζ34ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14+ζ26+ζ46ζ14−ζ26+ζ3400−1+i3−1+i31−i32−ζ2−ζ38−ζ14−ζ261−i32−ζ2−ζ38−ζ14−ζ26−ζ22+ζ38+ζ58ζ2+ζ22−ζ58ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ22+ζ38+ζ58ζ2+ζ22−ζ58ζ14+ζ34−ζ46ζ26−ζ34+ζ4600
χ482-22−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−1−i31+i3−1−i3−ζ34−ζ46−ζ22−ζ581+i3ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ5800−1+i31−i3−1+i3−ζ14−ζ26−ζ2−ζ381−i3ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ3800
χ492-22−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−1−i31+i3−1−i3−ζ22−ζ58−ζ34−ζ461+i3ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ4600−1+i31−i3−1+i3−ζ2−ζ38−ζ14−ζ261−i3ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ2600
χ502-2-1221-2-2-1-1-1-1111100−1−i31+i31+i32−1−i3−1−i3−1−i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1+i31−i31−i32−1+i3−1+i3−1+i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200
χ512-2-1−1−52−1+5211+521−52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ5800−1−i31+i31+i32−ζ34−ζ46−ζ22−ζ58−1−i32ζ34+ζ46ζ22+ζ58−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2+ζ38+ζ58ζ2+ζ22−ζ38ζ14−ζ26−ζ46−ζ14+ζ26−ζ34ζ2−ζ38−ζ58−ζ2−ζ22+ζ3800−1+i31−i31−i32−ζ14−ζ26−ζ2−ζ38−1+i32ζ14+ζ26ζ2+ζ38ζ14+ζ34−ζ46ζ26−ζ34+ζ46ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ14−ζ34+ζ46−ζ26+ζ34−ζ46−ζ2−ζ22+ζ58ζ22−ζ38−ζ5800
χ522-2-1−1−52−1+5211+521−52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ3800−1−i31+i31+i32−ζ34−ζ46−ζ22−ζ58−1−i32ζ34+ζ46ζ22+ζ58ζ14−ζ26+ζ34−ζ14+ζ26+ζ46ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14+ζ26−ζ34ζ14−ζ26−ζ46−ζ2−ζ22+ζ38ζ2−ζ38−ζ5800−1+i31−i31−i32−ζ14−ζ26−ζ2−ζ38−1+i32ζ14+ζ26ζ2+ζ38ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ26+ζ34−ζ46−ζ14−ζ34+ζ46ζ22−ζ38−ζ58−ζ2−ζ22+ζ5800
χ532-2-1−1+52−1−5211−521+52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ3400−1−i31+i31+i32−ζ22−ζ58−ζ34−ζ46−1−i32ζ22+ζ58ζ34+ζ46−ζ2+ζ38+ζ58ζ2+ζ22−ζ38ζ14−ζ26+ζ34−ζ14+ζ26+ζ46ζ2−ζ38−ζ58−ζ2−ζ22+ζ38−ζ14+ζ26−ζ34ζ14−ζ26−ζ4600−1+i31−i31−i32−ζ2−ζ38−ζ14−ζ26−1+i32ζ2+ζ38ζ14+ζ26ζ2+ζ22−ζ58−ζ22+ζ38+ζ58ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ2−ζ22+ζ58ζ22−ζ38−ζ58−ζ26+ζ34−ζ46−ζ14−ζ34+ζ4600
χ542-2-1−1+52−1−5211−521+52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ4600−1−i31+i31+i32−ζ22−ζ58−ζ34−ζ46−1−i32ζ22+ζ58ζ34+ζ46ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2−ζ22+ζ38ζ2−ζ38−ζ58ζ14−ζ26−ζ46−ζ14+ζ26−ζ3400−1+i31−i31−i32−ζ2−ζ38−ζ14−ζ26−1+i32ζ2+ζ38ζ14+ζ26−ζ22+ζ38+ζ58ζ2+ζ22−ζ58ζ14+ζ34−ζ46ζ26−ζ34+ζ46ζ22−ζ38−ζ58−ζ2−ζ22+ζ58−ζ14−ζ34+ζ46−ζ26+ζ34−ζ4600

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