Finite Group Databasebeta

← Group #13088596

Character table — Group #13088596

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222244444444666666888888888888101010121212161616161616161618242424242424242424242424303036364040404040406090120120
order1235561010336615153030241010101033661515151530303030412121220201515151530303030466303030303030303060602220201212121212126466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-11-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111111-1-1-1
χ41111111111111111-11-1-1-1-1111111111111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1111
χ511111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32
χ611111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-1111+i321−i321+i321+i321−i321−i32-1-11+i321−i32
χ711111111−1−i32−1+i32−1−i32−1+i321111-11-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32111-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11+i321−i32
χ811111111−1−i32−1+i32−1−i32−1+i321111-11-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-11-1-11+i321−i321+i321+i321−i321−i32-11−1−i32−1+i32
χ911111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32
χ1011111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-1111−i321+i321−i321−i321+i321+i32-1-11−i321+i32
χ1111111111−1+i32−1−i32−1+i32−1−i321111-11-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32111-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11−i321+i32
χ1211111111−1+i32−1−i32−1+i32−1−i321111-11-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-11-1-11−i321+i321−i321−i321+i321+i32-11−1+i32−1−i32
χ13222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520002−1−52−1+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+5200−1−52−1+520000000000
χ14222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52-221+521+521−521−522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520002−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52001+521−520000000000
χ15222−1−52−1+522−1−52−1+52−1−i3−1+i3−1−i3−1+i3−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−i3−1+i3−1−i3−1+i3−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ380002−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ382−1−i3−1+i3−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−1−52−1+5200−1−52−1+520000000000
χ16222−1−52−1+522−1−52−1+52−1−i3−1+i3−1−i3−1+i3−1−52−1+52−1−52−1+52-221+521+521−521−52−1−i3−1+i3−1−i3−1+i3−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ380002−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38-21+i31−i3ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38−1−52−1+52001+521−520000000000
χ17222−1−52−1+522−1−52−1+52−1+i3−1−i3−1+i3−1−i3−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1+i3−1−i3−1+i3−1−i3−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ580002−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ582−1+i3−1−i3−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−1−52−1+5200−1−52−1+520000000000
χ18222−1−52−1+522−1−52−1+52−1+i3−1−i3−1+i3−1−i3−1−52−1+52−1−52−1+52-221+521+521−521−52−1+i3−1−i3−1+i3−1−i3−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ580002−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58-21−i31+i3ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58−1−52−1+52001+521−520000000000
χ19222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520002−1+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+52−1−5200−1+52−1−520000000000
χ20222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52-221−521−521+521+522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520002−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52001−521+520000000000
χ21222−1+52−1−522−1+52−1−52−1−i3−1+i3−1−i3−1+i3−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1−i3−1+i3−1−i3−1+i3−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ260002−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ262−1−i3−1+i3−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−1+52−1−5200−1+52−1−520000000000
χ22222−1+52−1−522−1+52−1−52−1−i3−1+i3−1−i3−1+i3−1+52−1−52−1+52−1−52-221−521−521+521+52−1−i3−1+i3−1−i3−1+i3−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ260002−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26-21+i31−i3ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26−1+52−1−52001−521+520000000000
χ23222−1+52−1−522−1+52−1−52−1+i3−1−i3−1+i3−1−i3−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+i3−1−i3−1+i3−1−i3−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ460002−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ462−1+i3−1−i3−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−1+52−1−5200−1+52−1−520000000000
χ24222−1+52−1−522−1+52−1−52−1+i3−1−i3−1+i3−1−i3−1+52−1−52−1+52−1−52-221−521−521+521+52−1+i3−1−i3−1+i3−1−i3−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ460002−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46-21−i31+i3ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46−1+52−1−52001−521+520000000000
χ2522-122-1222222-1-1-1-1020000-1-1-1-1222222222-1-1-122-1-1-1-1-1-1-1-100000000000-1-1200022-1-1-1-1-1000
χ2622-122-1222222-1-1-1-1020000-1-1-1-122222222-211-122-1-1-1-1-1-1-1-100000000000-1-1-2000-2-211111000
χ2722-122-122−1−i3−1+i3−1−i3−1+i3-1-1-1-10200001+i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i32-1-1-1221+i321+i321−i321−i321+i321+i321−i321−i3200000000000-1-12000−1−i3−1+i31+i321+i321−i321−i32-1000
χ2822-122-122−1−i3−1+i3−1−i3−1+i3-1-1-1-10200001+i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-211-1221+i321+i321−i321−i321+i321+i321−i321−i3200000000000-1-1-20001+i31−i3−1−i32−1−i32−1+i32−1+i321000
χ2922-122-122−1+i3−1−i3−1+i3−1−i3-1-1-1-10200001−i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i32-1-1-1221−i321−i321+i321+i321−i321−i321+i321+i3200000000000-1-12000−1+i3−1−i31−i321−i321+i321+i32-1000
χ3022-122-122−1+i3−1−i3−1+i3−1−i3-1-1-1-10200001−i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-211-1221−i321−i321+i321+i321−i321−i321+i321+i3200000000000-1-1-20001−i31+i3−1+i32−1+i32−1−i32−1−i321000
χ3133333333000033333-13333000000000000333-1-1-100000000-10000000000-1-1-13-1-1000000-1-100
χ3233333333000033333-13333000000000000-3-3-3-1-1-100000000-10000000000-1-11-3-1-10000001100
χ333333333300003333-3-1-3-3-3-3000000000000333-1-1-10000000010000000000-1-1-1-311000000-1100
χ343333333300003333-3-1-3-3-3-3000000000000-3-3-3-1-1-10000000010000000000-1-113110000001-100
χ3544-2−1−5−1+5-2−1−5−1+544441+521−521+521−52040000-2-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5000-2−1−5−1+51+521−521+521−521+521−521+521−52000000000001+521−5200000000000000
χ3644-2−1−5−1+5-2−1−5−1+5−2−2i3−2+2i3−2−2i3−2+2i31+521−521+521−520400001+i31−i31+i31−i3−2ζ34−2ζ46−2ζ22−2ζ58−2ζ14−2ζ26−2ζ2−2ζ38−2ζ34−2ζ46−2ζ22−2ζ58−2ζ14−2ζ26−2ζ2−2ζ38000-2−1−5−1+5ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38000000000001+521−5200000000000000
χ3744-2−1−5−1+5-2−1−5−1+5−2+2i3−2−2i3−2+2i3−2−2i31+521−521+521−520400001−i31+i31−i31+i3−2ζ14−2ζ26−2ζ2−2ζ38−2ζ34−2ζ46−2ζ22−2ζ58−2ζ14−2ζ26−2ζ2−2ζ38−2ζ34−2ζ46−2ζ22−2ζ58000-2−1−5−1+5ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58000000000001+521−5200000000000000
χ3844-2−1+5−1−5-2−1+5−1−544441−521+521−521+52040000-2-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5000-2−1+5−1−51−521+521−521+521−521+521−521+52000000000001−521+5200000000000000
χ3944-2−1+5−1−5-2−1+5−1−5−2−2i3−2+2i3−2−2i3−2+2i31−521+521−521+520400001+i31−i31+i31−i3−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ26000-2−1+5−1−5ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26000000000001−521+5200000000000000
χ4044-2−1+5−1−5-2−1+5−1−5−2+2i3−2−2i3−2+2i3−2−2i31−521+521−521+520400001−i31+i31−i31+i3−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ46000-2−1+5−1−5ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46000000000001−521+5200000000000000
χ414-4444-4-4-4-2-22244-4-4000000-2-222-2-2-2-22222000000-2-2-2-22222000000000000000000000000000
χ424-4444-4-4-41+i31−i3−1−i3−1+i344-4-40000001+i31−i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i30000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3000000000000000000000000000
χ434-4444-4-4-41−i31+i3−1+i3−1−i344-4-40000001−i31+i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i30000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3000000000000000000000000000
χ444-44−1−5−1+5-41+51−5-2-222−1−5−1+51+51−500−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58-2-2221+521−521+521−52−1−52−1+52−1−52−1+520000001+521−521+521−52−1−52−1+52−1−52−1+52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000000000000000
χ454-44−1−5−1+5-41+51−5-2-222−1−5−1+51+51−5002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58-2-2221+521−521+521−52−1−52−1+52−1−52−1+520000001+521−521+521−52−1−52−1+52−1−52−1+52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000000000000000
χ464-44−1−5−1+5-41+51−51+i31−i3−1−i3−1+i3−1−5−1+51+51−500−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+i31−i3−1−i3−1+i3ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38000000ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38000ζ34−ζ46−ζ34+ζ46−ζ22+ζ58ζ22−ζ58ζ14−ζ26−ζ14+ζ26−ζ2+ζ38ζ2−ζ380000000000000000
χ474-44−1−5−1+5-41+51−51+i31−i3−1−i3−1+i3−1−5−1+51+51−5002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+i31−i3−1−i3−1+i3ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38000000ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38000−ζ34+ζ46ζ34−ζ46ζ22−ζ58−ζ22+ζ58−ζ14+ζ26ζ14−ζ26ζ2−ζ38−ζ2+ζ380000000000000000
χ484-44−1−5−1+5-41+51−51−i31+i3−1+i3−1−i3−1−5−1+51+51−500−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581−i31+i3−1+i3−1−i3ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58000000ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58000ζ14−ζ26−ζ14+ζ26−ζ2+ζ38ζ2−ζ38ζ34−ζ46−ζ34+ζ46−ζ22+ζ58ζ22−ζ580000000000000000
χ494-44−1−5−1+5-41+51−51−i31+i3−1+i3−1−i3−1−5−1+51+51−5002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581−i31+i3−1+i3−1−i3ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58000000ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58000−ζ14+ζ26ζ14−ζ26ζ2−ζ38−ζ2+ζ38−ζ34+ζ46ζ34−ζ46ζ22−ζ58−ζ22+ζ580000000000000000
χ504-44−1+5−1−5-41−51+5-2-222−1+5−1−51−51+5002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46-2-2221−521+521−521+52−1+52−1−52−1+52−1−520000001−521+521−521+52−1+52−1−52−1+52−1−52000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000000000000000
χ514-44−1+5−1−5-41−51+5-2-222−1+5−1−51−51+500−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46-2-2221−521+521−521+52−1+52−1−52−1+52−1−520000001−521+521−521+52−1+52−1−52−1+52−1−52000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000000000000000
χ524-44−1+5−1−5-41−51+51+i31−i3−1−i3−1+i3−1+5−1−51−51+5002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461+i31−i3−1−i3−1+i3ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26000000ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26000−ζ22+ζ58ζ22−ζ58−ζ34+ζ46ζ34−ζ46−ζ2+ζ38ζ2−ζ38−ζ14+ζ26ζ14−ζ260000000000000000
χ534-44−1+5−1−5-41−51+51+i31−i3−1−i3−1+i3−1+5−1−51−51+500−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461+i31−i3−1−i3−1+i3ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26000000ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26000ζ22−ζ58−ζ22+ζ58ζ34−ζ46−ζ34+ζ46ζ2−ζ38−ζ2+ζ38ζ14−ζ26−ζ14+ζ260000000000000000
χ544-44−1+5−1−5-41−51+51−i31+i3−1+i3−1−i3−1+5−1−51−51+5002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−i31+i3−1+i3−1−i3ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46000000ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46000−ζ2+ζ38ζ2−ζ38−ζ14+ζ26ζ14−ζ26−ζ22+ζ58ζ22−ζ58−ζ34+ζ46ζ34−ζ460000000000000000
χ554-44−1+5−1−5-41−51+51−i31+i3−1+i3−1−i3−1+5−1−51−51+500−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−i31+i3−1+i3−1−i3ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46000000ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46000ζ2−ζ38−ζ2+ζ38ζ14−ζ26−ζ14+ζ26ζ22−ζ58−ζ22+ζ58ζ34−ζ46−ζ34+ζ460000000000000000
χ564-4-2442-4-4-2-222-2-22200000011-1-1-2-2-2-22222023−230001111-1-1-1-100000000000000000003−33−30000
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χ584-4-2442-4-41+i31−i3−1−i3−1+i3-2-222000000−1−i32−1+i321+i321−i321+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3023−23000−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i320000000000000000000−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ590000
χ594-4-2442-4-41+i31−i3−1−i3−1+i3-2-222000000−1−i32−1+i321+i321−i321+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i30−2323000−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i320000000000000000000ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ590000
χ604-4-2442-4-41−i31+i3−1+i3−1−i3-2-222000000−1+i32−1−i321−i321+i321−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3023−23000−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3200000000000000000002ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ590000
χ614-4-2442-4-41−i31+i3−1+i3−1−i3-2-222000000−1+i32−1−i321−i321+i321−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i30−2323000−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i320000000000000000000−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ590000
χ62666−3−352−3+3526−3−352−3+3520000−3−352−3+352−3−352−3+3526-2−3−352−3−352−3+352−3+352000000000000000-21+521−5200000000-200000000001+521−52001+521−520000000000
χ63666−3−352−3+3526−3−352−3+3520000−3−352−3+352−3−352−3+352-6-23+3523+3523−3523−352000000000000000-21+521−5200000000200000000001+521−5200−1−52−1+520000000000
χ64666−3+352−3−3526−3+352−3−3520000−3+352−3−352−3+352−3−3526-2−3+352−3+352−3−352−3−352000000000000000-21−521+5200000000-200000000001−521+52001−521+520000000000
χ65666−3+352−3−3526−3+352−3−3520000−3+352−3−352−3+352−3−352-6-23−3523−3523+3523+352000000000000000-21−521+5200000000200000000001−521+5200−1+52−1−520000000000
χ6666-366-3660000-3-3-3-30-200000000000000006-3-31-2-2000000000000000000011-20000000001000
χ6766-366-3660000-3-3-3-30-20000000000000000-6331-2-20000000000000000000112000000000-1000
χ688-8-4−2−25−2+2542+252−25-4-4441+51−5−1−5−1+500000022-2-21+51−51+51−5−1−5−1+5−1−5−1+5000000−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000000
χ698-8-4−2−25−2+2542+252−252+2i32−2i3−2−2i3−2+2i31+51−5−1−5−1+5000000−1−i3−1+i31+i31−i32ζ34+2ζ462ζ22+2ζ582ζ14+2ζ262ζ2+2ζ38−2ζ34−2ζ46−2ζ22−2ζ58−2ζ14−2ζ26−2ζ2−2ζ38000000−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38000000000000000000000000000
χ708-8-4−2−25−2+2542+252−252−2i32+2i3−2+2i3−2−2i31+51−5−1−5−1+5000000−1+i3−1−i31−i31+i32ζ14+2ζ262ζ2+2ζ382ζ34+2ζ462ζ22+2ζ58−2ζ14−2ζ26−2ζ2−2ζ38−2ζ34−2ζ46−2ζ22−2ζ58000000−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58000000000000000000000000000
χ718-8-4−2+25−2−2542−252+25-4-4441−51+5−1+5−1−500000022-2-21−51+51−51+5−1+5−1−5−1+5−1−5000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000000
χ728-8-4−2+25−2−2542−252+252+2i32−2i3−2−2i3−2+2i31−51+5−1+5−1−5000000−1−i3−1+i31+i31−i32ζ22+2ζ582ζ34+2ζ462ζ2+2ζ382ζ14+2ζ26−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ26000000−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26000000000000000000000000000
χ738-8-4−2+25−2−2542−252+252−2i32+2i3−2+2i3−2−2i31−51+5−1+5−1−5000000−1+i3−1−i31−i31+i32ζ2+2ζ382ζ14+2ζ262ζ22+2ζ582ζ34+2ζ46−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ46000000−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46000000000000000000000000000
χ741212-6−3−35−3+35-6−3−35−3+3500003+3523−3523+3523−3520-4000000000000000000021+51−50000000000000000000−1−52−1+5200000000000000
χ751212-6−3+35−3−35-6−3+35−3−3500003−3523+3523−3523+3520-4000000000000000000021−51+50000000000000000000−1+52−1−5200000000000000

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