Finite Group Databasebeta

← Group #11756938

Character table — Group #11756938

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11222222244444455101010336666666121212121212151530303044888888816161616161620204040404488888881616161616162020404040
order12444551010202020202020442222244410101010202020202020442223612121215153030606060606060121266636121212151530306060606060601212666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1
χ3111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1
χ4111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111
χ511-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1
χ611-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11
χ711-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11
χ811-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1
χ922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000
χ1022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000
χ11222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000
χ12222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000
χ1322-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000
χ1422-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000
χ1522-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000
χ1622-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000
χ172-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i000
χ182-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i000
χ194-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+500000000000
χ204-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−500000000000
χ211111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ22111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1−1+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+i321−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−i321+i321+i321+i321+i321+i32
χ23111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ24111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ2511-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32
χ2611-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ2711-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ2811-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ2922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000−1+i3−1+i3−1+i3−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ2600000−1−i3−1−i3−1−i3−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ4600000
χ3022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000−1+i3−1+i3−1+i3−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ3800000−1−i3−1−i3−1−i3−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ5800000
χ31222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000−1+i3−1+i3−1+i31−i31−i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ2600000−1−i3−1−i3−1−i31+i31+i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ4600000
χ32222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000−1+i3−1+i3−1+i31−i31−i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ3800000−1−i3−1−i3−1−i31+i31+i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ5800000
χ3322-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000−1+i3−1+i31−i3−1+i31−i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ2600000−1−i3−1−i31+i3−1−i31+i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ4600000
χ3422-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000−1+i3−1+i31−i3−1+i31−i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ3800000−1−i3−1−i31+i3−1−i31+i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ5800000
χ3522-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000−1+i3−1+i31−i31−i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ2600000−1−i3−1−i31+i31+i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ4600000
χ3622-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000−1+i3−1+i31−i31−i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ3800000−1−i3−1−i31+i31+i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ5800000
χ372-200022-2-20000002i−2i0002-200022-2-20000002i−2i000−1+i31−i3000−1+i3−1+i31−i31−i3000000−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59000−1−i31+i3000−1−i3−1−i31+i31+i3000000−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43000
χ382-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i000−1+i31−i3000−1+i3−1+i31−i31−i30000002ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59000−1−i31+i3000−1−i3−1−i31+i31+i30000002ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43000
χ394-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+500000000000−2+2i32−2i3000−2ζ2−2ζ38−2ζ14−2ζ262ζ2+2ζ382ζ14+2ζ2600000000000−2−2i32+2i3000−2ζ22−2ζ58−2ζ34−2ζ462ζ22+2ζ582ζ34+2ζ4600000000000
χ404-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−500000000000−2+2i32−2i3000−2ζ14−2ζ26−2ζ2−2ζ382ζ14+2ζ262ζ2+2ζ3800000000000−2−2i32+2i3000−2ζ34−2ζ46−2ζ22−2ζ582ζ34+2ζ462ζ22+2ζ5800000000000
χ411111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ42111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1−1−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−i321+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+i321−i321−i321−i321−i321−i32
χ43111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ44111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ4511-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32
χ4611-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ4711-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ4811-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ4922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000−1−i3−1−i3−1−i3−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ4600000−1+i3−1+i3−1+i3−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ2600000
χ5022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000−1−i3−1−i3−1−i3−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ5800000−1+i3−1+i3−1+i3−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ3800000
χ51222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000−1−i3−1−i3−1−i31+i31+i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ4600000−1+i3−1+i3−1+i31−i31−i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ2600000
χ52222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000−1−i3−1−i3−1−i31+i31+i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ5800000−1+i3−1+i3−1+i31−i31−i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ3800000
χ5322-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000−1−i3−1−i31+i3−1−i31+i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ4600000−1+i3−1+i31−i3−1+i31−i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ2600000
χ5422-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000−1−i3−1−i31+i3−1−i31+i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ5800000−1+i3−1+i31−i3−1+i31−i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ3800000
χ5522-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000−1−i3−1−i31+i31+i3−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ4600000−1+i3−1+i31−i31−i3−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ2600000
χ5622-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000−1−i3−1−i31+i31+i3−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ5800000−1+i3−1+i31−i31−i3−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ3800000
χ572-200022-2-20000002i−2i0002-200022-2-20000002i−2i000−1−i31+i3000−1−i3−1−i31+i31+i3000000−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43000−1+i31−i3000−1+i3−1+i31−i31−i3000000−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59000
χ582-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i000−1−i31+i3000−1−i3−1−i31+i31+i30000002ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43000−1+i31−i3000−1+i3−1+i31−i31−i30000002ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59000
χ594-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+500000000000−2−2i32+2i3000−2ζ22−2ζ58−2ζ34−2ζ462ζ22+2ζ582ζ34+2ζ4600000000000−2+2i32−2i3000−2ζ2−2ζ38−2ζ14−2ζ262ζ2+2ζ382ζ14+2ζ2600000000000
χ604-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−500000000000−2−2i32+2i3000−2ζ34−2ζ46−2ζ22−2ζ582ζ34+2ζ462ζ22+2ζ5800000000000−2+2i32−2i3000−2ζ14−2ζ26−2ζ2−2ζ382ζ14+2ζ262ζ2+2ζ3800000000000
χ6133333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ62333333333333333-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111110000000000000000000000000000000000000000
χ63333-3-3333333-3-3-3-3333-3-3-1-1-111-1-1-1-1-1-11111-1-1-1110000000000000000000000000000000000000000
χ64333-3-3333333-3-3-3-3-3-3-333-1-1-111-1-1-1-1-1-11111111-1-10000000000000000000000000000000000000000
χ6533-33-33333-3-333-3-333-33-3-1-11-11-1-1-1-111-1-111-1-11-110000000000000000000000000000000000000000
χ6633-33-33333-3-333-3-3-3-33-33-1-11-11-1-1-1-111-1-11111-11-10000000000000000000000000000000000000000
χ6733-3-333333-3-3-3-33333-3-33-1-111-1-1-1-1-11111-1-1-1-111-10000000000000000000000000000000000000000
χ6833-3-333333-3-3-3-333-3-333-3-1-111-1-1-1-1-11111-1-111-1-110000000000000000000000000000000000000000
χ6966666−3+352−3−352−3+352−3−352−3+352−3−352−3+352−3−352−3+352−3−35200000-2-2-2-2-21−521+521−521+521−521+521−521+521−521+52000000000000000000000000000000000000000000000
χ7066666−3−352−3+352−3−352−3+352−3−352−3+352−3−352−3+352−3−352−3+35200000-2-2-2-2-21+521−521+521−521+521−521+521−521+521−52000000000000000000000000000000000000000000000
χ71666-6-6−3+352−3−352−3+352−3−352−3+352−3−3523−3523+3523−3523+35200000-2-2-2221−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000000000000000000000000
χ72666-6-6−3−352−3+352−3−352−3+352−3−352−3+3523+3523−3523+3523−35200000-2-2-2221+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000000000000000000000000
χ7366-66-6−3+352−3−352−3+352−3−3523−3523+352−3+352−3−3523−3523+35200000-2-22-221−521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000000000000000000000000000
χ7466-66-6−3−352−3+352−3−352−3+3523+3523−352−3−352−3+3523+3523−35200000-2-22-221+521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000000000000000000000000000000
χ7566-6-66−3+352−3−352−3+352−3−3523−3523+3523−3523+352−3+352−3−35200000-2-222-21−521+521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000000000000000000000000000
χ7666-6-66−3−352−3+352−3−352−3+3523+3523−3523+3523−352−3−352−3+35200000-2-222-21+521−521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000000000000000000000000000000000
χ776-600066-6-60000006i−6i000-22000-2-222000000−2i2i0000000000000000000000000000000000000000000
χ786-600066-6-6000000−6i6i000-22000-2-2220000002i−2i0000000000000000000000000000000000000000000
χ7912-12000−3+35−3−353−353+3500000000000-440001−51+5−1+5−1−5000000000000000000000000000000000000000000000000000
χ8012-12000−3−35−3+353+353−3500000000000-440001+51−5−1−5−1+5000000000000000000000000000000000000000000000000000

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