Finite Group Databasebeta

← Group #14512113

Character table — Group #14512113

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11222233666688888121212121212121212121616161624242424243232323232323232323232323232323232324040120120160160160160
order125510102210101010420202020442020202020202020336642020202012121515151530303030606060606060606022246666
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211111−1−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+i321111−1−i32−1−i32−1+i32−1+i32
χ4111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211111−1−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+i32-1-1-1-11+i321+i321−i321−i32
χ5111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211111−1+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−i321111−1+i32−1+i32−1−i32−1−i32
χ6111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211111−1+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−i32-1-1-1-11−i321−i321+i321+i32
χ7111111111111-1-1-1-1-111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ8111111111111-1-1-1-1-111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ9111111111111-1-1-1-1-11111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-11+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-11-1−1−i321+i32−1+i321−i32
χ10111111111111-1-1-1-1-11111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-11+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11-111+i32−1−i321−i32−1+i32
χ11111111111111-1-1-1-1-11111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-11−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-11-1−1+i321−i32−1−i321+i32
χ12111111111111-1-1-1-1-11111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-11−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11-111−i32−1+i321+i32−1−i32
χ1322−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1−52−1+52−1+5222−1−52−1+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+5200000000
χ1422−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−i3−1+i3−1−i3−1+i32−1−52−1−52−1+52−1+52−1−i3−1+i3−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ3800000000
χ1522−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+i3−1−i3−1+i3−1−i32−1−52−1−52−1+52−1+52−1+i3−1−i3−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ5800000000
χ1622−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-21+521+521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-21+521+521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000
χ1722−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-21+521+521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−i3−1+i3−1−i3−1+i3-21+521+521−521−521+i31−i3−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ3800000000
χ1822−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-21+521+521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+i3−1−i3−1+i3−1−i3-21+521+521−521−521−i31+i3−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ5800000000
χ1922−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−5200000000
χ2022−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−i3−1+i3−1−i3−1+i32−1+52−1+52−1−52−1−52−1−i3−1+i3−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ2600000000
χ2122−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+i3−1−i3−1+i3−1−i32−1+52−1+52−1−52−1−52−1+i3−1−i3−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ4600000000
χ2222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-21−521−521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-21−521−521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000
χ2322−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-21−521−521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−i3−1+i3−1−i3−1+i3-21−521−521+521+521+i31−i3−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ2600000000
χ2422−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-21−521−521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+i3−1−i3−1+i3−1−i3-21−521−521+521+521−i31+i3−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ4600000000
χ252-222-2-2-222-22-2000002-222-2-222-2-222-2-200000002222-2-2-2-20000000000000000
χ262-222-2-2-222-22-2000002-222-2-222-2-2−1−i3−1+i31+i31−i30000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i30000000000000000
χ272-222-2-2-222-22-2000002-222-2-222-2-2−1+i3−1−i31−i31+i30000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i30000000000000000
χ282-2−1−52−1+521+521−52-22−1−521+52−1+521−520−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ472-2−1−52−1−521+521+52−1+52−1+521−521−5222-2-20−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700−1−52−1+52−1−52−1+521+521−521+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000
χ292-2−1−52−1+521+521−52-22−1−521+52−1+521−520−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ472-2−1−52−1−521+521+52−1+52−1+521−521−52−1−i3−1+i31+i31−i30−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38−ζ19+ζ31ζ19−ζ31−ζ7+ζ43ζ7−ζ43ζ11−ζ59−ζ11+ζ59ζ23−ζ47−ζ23+ζ4700000000
χ302-2−1−52−1+521+521−52-22−1−521+52−1+521−520−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ472-2−1−52−1−521+521+52−1+52−1+521−521−52−1+i3−1−i31−i31+i30−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58ζ11−ζ59−ζ11+ζ59ζ23−ζ47−ζ23+ζ47−ζ19+ζ31ζ19−ζ31−ζ7+ζ43ζ7−ζ4300000000
χ312-2−1−52−1+521+521−52-22−1−521+52−1+521−520ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472-2−1−52−1−521+521+52−1+52−1+521−521−5222-2-20ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700−1−52−1+52−1−52−1+521+521−521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000
χ322-2−1−52−1+521+521−52-22−1−521+52−1+521−520ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472-2−1−52−1−521+521+52−1+52−1+521−521−52−1−i3−1+i31+i31−i30ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38ζ19−ζ31−ζ19+ζ31ζ7−ζ43−ζ7+ζ43−ζ11+ζ59ζ11−ζ59−ζ23+ζ47ζ23−ζ4700000000
χ332-2−1−52−1+521+521−52-22−1−521+52−1+521−520ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472-2−1−52−1−521+521+52−1+52−1+521−521−52−1+i3−1−i31−i31+i30ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58−ζ11+ζ59ζ11−ζ59−ζ23+ζ47ζ23−ζ47ζ19−ζ31−ζ19+ζ31ζ7−ζ43−ζ7+ζ4300000000
χ342-2−1+52−1−521−521+52-22−1+521−52−1−521+520ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ592-2−1+52−1+521−521−52−1−52−1−521+521+5222-2-20ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900−1+52−1−52−1+52−1−521−521+521−521+52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000
χ352-2−1+52−1−521−521+52-22−1+521−52−1−521+520ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ592-2−1+52−1+521−521−52−1−52−1−521+521+52−1−i3−1+i31+i31−i30ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26−ζ7+ζ43ζ7−ζ43ζ19−ζ31−ζ19+ζ31ζ23−ζ47−ζ23+ζ47−ζ11+ζ59ζ11−ζ5900000000
χ362-2−1+52−1−521−521+52-22−1+521−52−1−521+520ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ592-2−1+52−1+521−521−52−1−52−1−521+521+52−1+i3−1−i31−i31+i30ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46ζ23−ζ47−ζ23+ζ47−ζ11+ζ59ζ11−ζ59−ζ7+ζ43ζ7−ζ43ζ19−ζ31−ζ19+ζ3100000000
χ372-2−1+52−1−521−521+52-22−1+521−52−1−521+520−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592-2−1+52−1+521−521−52−1−52−1−521+521+5222-2-20−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900−1+52−1−52−1+52−1−521−521+521−521+52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000
χ382-2−1+52−1−521−521+52-22−1+521−52−1−521+520−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592-2−1+52−1+521−521−52−1−52−1−521+521+52−1−i3−1+i31+i31−i30−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26ζ7−ζ43−ζ7+ζ43−ζ19+ζ31ζ19−ζ31−ζ23+ζ47ζ23−ζ47ζ11−ζ59−ζ11+ζ5900000000
χ392-2−1+52−1−521−521+52-22−1+521−52−1−521+520−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592-2−1+52−1+521−521−52−1−52−1−521+521+52−1+i3−1−i31−i31+i30−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46−ζ23+ζ47ζ23−ζ47ζ11−ζ59−ζ11+ζ59ζ7−ζ43−ζ7+ζ43−ζ19+ζ31ζ19−ζ3100000000
χ4033333333333333333-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-100000000000000000033-1-10000
χ4133333333333333333-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1000000000000000000-3-3110000
χ42333333333333-3-3-3-3-3-1-1-1-1-1-1-1-1-1-10000111110000000000000000003-3-110000
χ43333333333333-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1000011111000000000000000000-331-10000
χ4466−3−352−3+352−3−352−3+35266−3−352−3−352−3+352−3+3526−3−352−3−352−3+352−3+352-2-21+521+521+521+521−521−521−521−520000-21+521+521−521−5200000000000000000000000000
χ4566−3−352−3+352−3−352−3+35266−3−352−3−352−3+352−3+352-63+3523+3523−3523−352-2-21+521+521+521+521−521−521−521−5200002−1−52−1−52−1+52−1+5200000000000000000000000000
χ4666−3+352−3−352−3+352−3−35266−3+352−3+352−3−352−3−3526−3+352−3+352−3−352−3−352-2-21−521−521−521−521+521+521+521+520000-21−521−521+521+5200000000000000000000000000
χ4766−3+352−3−352−3+352−3−35266−3+352−3+352−3−352−3−352-63−3523−3523+3523+352-2-21−521−521−521−521+521+521+521+5200002−1+52−1+52−1−52−1−5200000000000000000000000000
χ486-666-6-6-666-66-600000-22-2-222-2-22200000000000000000000000000000000000
χ496-6−3−352−3+3523+3523−352-66−3−3523+352−3+3523−3520−3ζ11+3ζ19−3ζ31+3ζ593ζ11−3ζ19+3ζ31−3ζ593ζ7−3ζ23−3ζ43+3ζ47−3ζ7+3ζ23+3ζ43−3ζ47-221+521+52−1−52−1−521−521−52−1+52−1+5200000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000000000000000
χ506-6−3−352−3+3523+3523−352-66−3−3523+352−3+3523−35203ζ11−3ζ19+3ζ31−3ζ59−3ζ11+3ζ19−3ζ31+3ζ59−3ζ7+3ζ23+3ζ43−3ζ473ζ7−3ζ23−3ζ43+3ζ47-221+521+52−1−52−1−521−521−52−1+52−1+5200000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000000000000000
χ516-6−3+352−3−3523−3523+352-66−3+3523−352−3−3523+35203ζ7−3ζ23−3ζ43+3ζ47−3ζ7+3ζ23+3ζ43−3ζ473ζ11−3ζ19+3ζ31−3ζ59−3ζ11+3ζ19−3ζ31+3ζ59-221−521−52−1+52−1+521+521+52−1−52−1−5200000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000000000000000000000
χ526-6−3+352−3−3523−3523+352-66−3+3523−352−3−3523+3520−3ζ7+3ζ23+3ζ43−3ζ473ζ7−3ζ23−3ζ43+3ζ47−3ζ11+3ζ19−3ζ31+3ζ593ζ11−3ζ19+3ζ31−3ζ59-221−521−52−1+52−1+521+521+52−1−52−1−5200000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000000000000000000000
χ53121212121212-4-4-4-4-4-400000000000000000000000000000000000000000000000000
χ541212−3−35−3+35−3−35−3+35-4-41+51+51−51−50000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000000000000000000
χ551212−3−35−3+35−3−35−3+35-4-41+51+51−51−500000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000000000000000000
χ561212−3+35−3−35−3+35−3−35-4-41−51−51+51+500000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000000000000000000
χ571212−3+35−3−35−3+35−3−35-4-41−51−51+51+50000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000000000000
χ5812-121212-12-124-4-44-4400000000000000000000000000000000000000000000000000
χ5912-12−3−35−3+353+353−354-41+5−1−51−5−1+50000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000000000000000000
χ6012-12−3−35−3+353+353−354-41+5−1−51−5−1+500000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000000000000000000
χ6112-12−3+35−3−353−353+354-41−5−1+51+5−1−500000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000000000000
χ6212-12−3+35−3−353−353+354-41−5−1+51+5−1−50000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000000000000000000

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