Finite Group Databasebeta

← Group #11748256

Character table — Group #11748256

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222222222444444444444444488888888888888888881212202020202020202024242424242424242440406060120
order1223445561010121261010121515202020203030606060608242430304040404060601201201201201201201201202424441212121221010101010102020612448
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1
χ611111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-111-1-1-1-11
χ711111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-111-1-11
χ811111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-111-1
χ9222222−1−52−1+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222000000002−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200000
χ10222222−1−52−1+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200000000-21+521−521+521+521−521−521+521−5200000
χ11222222−1−52−1+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−522200000000-2−1−52−1+521+521+521−521−52−1−52−1+5200000
χ12222222−1−52−1+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52-2-20000000021+521−52−1−52−1−52−1+52−1+521+521−5200000
χ13222222−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222000000002−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200000
χ14222222−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200000000-21−521+521−521−521+521+521−521+5200000
χ15222222−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+522200000000-2−1+52−1−521−521−521+521+52−1+52−1−5200000
χ16222222−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52-2-20000000021−521+52−1+52−1+52−1−52−1−521−521+5200000
χ172222-2-222222-2-2222-222-2-2-2-222-2-2-2-2000220000-2-2000000000000000000000000000002-20
χ182222-2-222222-2-2222-222-2-2-2-222-2-2-2-2000220000-2-200000000000000000000000000000-220
χ19222-12222-122-1-1-122-1-1-12222-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1000000000-1-1000
χ20222-12222-122-1-1-122-1-1-12222-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-2-2-2-2111100000000011000
χ21222-12222-122-1-1-122-1-1-12222-1-1-1-1-1-1-211-1-1-2-2-2-2-1-1111111110022-2-21111000000000-1-1000
χ22222-12222-122-1-1-122-1-1-12222-1-1-1-1-1-1-211-1-1-2-2-2-2-1-11111111100-2-222-1-1-1-100000000011000
χ2322-222-22222222-2-2-2-222-2-222222222000-2-20000-2-2000000002-2000000000220000-2-200000
χ2422-222-22222222-2-2-2-222-2-222222222000-2-20000-2-200000000-22000000000-2-200002200000
χ2522-222-2−1−52−1+522−1−52−1+5222-21+521−52-2−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520001+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521−52−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ582-2000000000−1−52−1+52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521−5200000
χ2622-222-2−1−52−1+522−1−52−1+5222-21+521−52-2−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520001+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521−52−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58-220000000001+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1+5200000
χ2722-222-2−1−52−1+522−1−52−1+5222-21+521−52-2−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520001+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521−52ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ582-2000000000−1−52−1+52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521−5200000
χ2822-222-2−1−52−1+522−1−52−1+5222-21+521−52-2−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520001+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521−52ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58-220000000001+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1+5200000
χ2922-222-2−1+52−1−522−1+52−1−5222-21−521+52-2−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520001−521+52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−521+52ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ462-2000000000−1+52−1−52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−521+5200000
χ3022-222-2−1+52−1−522−1+52−1−5222-21−521+52-2−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520001−521+52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−521+52ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46-220000000001−521+52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+52−1−5200000
χ3122-222-2−1+52−1−522−1+52−1−5222-21−521+52-2−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520001−521+52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−521+52−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ462-2000000000−1+52−1−52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−521+5200000
χ3222-222-2−1+52−1−522−1+52−1−5222-21−521+52-2−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520001−521+52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−521+52−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46-220000000001−521+52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1−5200000
χ3322-22-2222222-2-2-2-2-222222-2-222-2-2-2-2000-2-200002200000000002-20000000000000002-2000
χ3422-22-2222222-2-2-2-2-222222-2-222-2-2-2-2000-2-20000220000000000-22000000000000000-22000
χ3522-2-1-2222-122111-2-2-1-1-122-2-2-1-1111103−3110000-1-13−33−33−33−3002-20033−3−3000000000-11000
χ3622-2-1-2222-122111-2-2-1-1-122-2-2-1-1111103−3110000-1-13−33−33−33−300-2200−3−3330000000001-1000
χ3722-2-1-2222-122111-2-2-1-1-122-2-2-1-111110−33110000-1-1−33−33−33−33002-200−3−333000000000-11000
χ3822-2-1-2222-122111-2-2-1-1-122-2-2-1-111110−33110000-1-1−33−33−33−3300-220033−3−30000000001-1000
χ394444-4-4−1−5−1+54−1−5−1+5-4-44−1−5−1+5-4−1−5−1+51+51−51+51−5−1−5−1+51+51+51−51−5000−1−5−1+500001+51−500000000000000000000000000000000
χ404444-4-4−1+5−1−54−1+5−1−5-4-44−1+5−1−5-4−1+5−1−51−51+51−51+5−1+5−1−51−51−51+51+5000−1+5−1−500001−51+500000000000000000000000000000000
χ41444-244−1−5−1+5-2−1−5−1+5-2-2-2−1−5−1+5-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−524-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521+521+521+521−521−521−521−52000000000000000000000000
χ42444-244−1−5−1+5-2−1−5−1+5-2-2-2−1−5−1+5-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−52-4221+521−521+51+51−51−51+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000
χ43444-244−1+5−1−5-2−1+5−1−5-2-2-2−1+5−1−5-21−521+52−1+5−1−5−1+5−1−51−521+521−521−521+521+524-2-21−521+52−1+5−1+5−1−5−1−51−521+521−521−521−521−521+521+521+521+52000000000000000000000000
χ44444-244−1+5−1−5-2−1+5−1−5-2-2-2−1+5−1−5-21−521+52−1+5−1−5−1+5−1−51−521+521−521−521+521+52-4221−521+521−51−51+51+51−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000
χ45444-2-4-444-24422-2442-2-2-4-4-4-4-2-22222000-2-200002200000000000000000000000000000000
χ46444-2-4-4−1−5−1+5-2−1−5−1+522-2−1−5−1+521+521−521+51−51+51−51+521−52−1−52−1−52−1+52−1+520001+521−520000−1−52−1+52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47000000000000000000000000
χ47444-2-4-4−1−5−1+5-2−1−5−1+522-2−1−5−1+521+521−521+51−51+51−51+521−52−1−52−1−52−1+52−1+520001+521−520000−1−52−1+52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47000000000000000000000000
χ48444-2-4-4−1+5−1−5-2−1+5−1−522-2−1+5−1−521−521+521−51+51−51+51−521+52−1+52−1+52−1−52−1−520001−521+520000−1+52−1−52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000000
χ49444-2-4-4−1+5−1−5-2−1+5−1−522-2−1+5−1−521−521+521−51+51−51+51−521+52−1+52−1+52−1−52−1−520001−521+520000−1+52−1−52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000
χ5044-44-44−1−5−1+54−1−5−1+5-4-4-41+51−54−1−5−1+5−1−5−1+51+51−5−1−5−1+51+51+51−51−50001+51−50000−1−5−1+500000000000000000000000000000000
χ5144-44-44−1+5−1−54−1+5−1−5-4-4-41−51+54−1+5−1−5−1+5−1−51−51+5−1+5−1−51−51−51+51+50001−51+50000−1+5−1−500000000000000000000000000000000
χ5244-4-24-444-244-2-22-4-42-2-2-4-444-2-2-2-2-2-20002200002200000000000000000000000000000000
χ5344-4-24-4−1−5−1+5-2−1−5−1+5-2-221+51−521+521−521+51−5−1−5−1+51+521−521+521+521−521−52000−1−52−1+52−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−52−1+52ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58000000000000000000000000
χ5444-4-24-4−1−5−1+5-2−1−5−1+5-2-221+51−521+521−521+51−5−1−5−1+51+521−521+521+521−521−52000−1−52−1+522ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−52−1+52−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58000000000000000000000000
χ5544-4-24-4−1+5−1−5-2−1+5−1−5-2-221−51+521−521+521−51+5−1+5−1−51−521+521−521−521+521+52000−1+52−1−522ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+52−1−52−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46000000000000000000000000
χ5644-4-24-4−1+5−1−5-2−1+5−1−5-2-221−51+521−521+521−51+5−1+5−1−51−521+521−521−521+521+52000−1+52−1−52−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+52−1−52ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46000000000000000000000000
χ5744-4-2-44−1−5−1+5-2−1−5−1+52221+51−5-21+521−52−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+52023−23−1−52−1+5200001+521−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000
χ5844-4-2-44−1−5−1+5-2−1−5−1+52221+51−5-21+521−52−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+520−2323−1−52−1+5200001+521−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000
χ5944-4-2-44−1+5−1−5-2−1+5−1−52221−51+5-21−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−52023−23−1+52−1−5200001−521+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000
χ6044-4-2-44−1+5−1−5-2−1+5−1−52221−51+5-21−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−520−2323−1+52−1−5200001−521+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000
χ614-4040044-4-4-4000000440000-4-40000000000000000000000000002i−2i2i−2i2i−2i00000000000000
χ624-4040044-4-4-4000000440000-4-4000000000000000000000000000−2i2i−2i2i−2i2i00000000000000
χ634-40-200442-4-423−230000-2-200002223−2323−23000000000000000000000002i−2iζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ5900000000000000
χ644-40-200442-4-423−230000-2-200002223−2323−2300000000000000000000000−2i2i−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ5900000000000000
χ654-40-200442-4-4−23230000-2-2000022−2323−2323000000000000000000000002i−2i−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ5900000000000000
χ664-40-200442-4-4−23230000-2-2000022−2323−232300000000000000000000000−2i2iζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ5900000000000000
χ678-80800−2−25−2+25-82+252−25000000−2−25−2+2500002+252−2500000000000000000000000000000000000000000000000
χ688-80800−2+25−2−25-82−252+25000000−2+25−2−2500002−252+2500000000000000000000000000000000000000000000000
χ698-80-400−2−25−2+2542+252−2543−4300001+51−50000−1−5−1+5−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000
χ708-80-400−2−25−2+2542+252−25−434300001+51−50000−1−5−1+52ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000000
χ718-80-400−2+25−2−2542−252+2543−4300001−51+50000−1+5−1−52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ590000000000000000000000000000000000000000000
χ728-80-400−2+25−2−2542−252+25−434300001−51+50000−1+5−1−5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ590000000000000000000000000000000000000000000

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