Finite Group Databasebeta

← Group #14512556

Character table — Group #14512556

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11244444444410102020202020336121212121212121212303060606060604481616161616161616164040808080808044816161616161616161640408080808080
order122451010102020202022244442224101010102020202022244443661215303030606060606661212121236612153030306060606066612121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1111111111111111-1-1-1-1111111111111111-1-1-1-1111111111111111-1-1-1-1
χ3111111111111-1-1-1ii−i−i111111111111-1-1-1ii−i−i111111111111-1-1-1ii−i−i111111111111-1-1-1ii−i−i
χ4111111111111-1-1-1−i−iii111111111111-1-1-1−i−iii111111111111-1-1-1−i−iii111111111111-1-1-1−i−iii
χ5111-11111-1-1-1-111-11-11-1111-11111-1-1-1-111-11-11-1111-11111-1-1-1-111-11-11-1111-11111-1-1-1-111-11-11-1
χ6111-11111-1-1-1-111-1-11-11111-11111-1-1-1-111-1-11-11111-11111-1-1-1-111-1-11-11111-11111-1-1-1-111-1-11-11
χ7111-11111-1-1-1-1-1-11i−i−ii111-11111-1-1-1-1-1-11i−i−ii111-11111-1-1-1-1-1-11i−i−ii111-11111-1-1-1-1-1-11i−i−ii
χ8111-11111-1-1-1-1-1-11−iii−i111-11111-1-1-1-1-1-11−iii−i111-11111-1-1-1-1-1-11−iii−i111-11111-1-1-1-1-1-11−iii−i
χ922-202-2-2200002-20000022-202-2-2200002-20000022-202-2-2200002-20000022-202-2-2200002-200000
χ1022-202-2-220000-220000022-202-2-220000-220000022-202-2-220000-220000022-202-2-220000-2200000
χ114444-1-1-1-1-1-1-1-100000004444-1-1-1-1-1-1-1-100000004444-1-1-1-1-1-1-1-100000004444-1-1-1-1-1-1-1-10000000
χ12444-4-1-1-1-111110000000444-4-1-1-1-111110000000444-4-1-1-1-111110000000444-4-1-1-1-111110000000
χ1344-40-111-155−5−5000000044-40-111-155−5−5000000044-40-111-155−5−5000000044-40-111-155−5−50000000
χ1444-40-111-1−5−555000000044-40-111-1−5−555000000044-40-111-1−5−555000000044-40-111-1−5−5550000000
χ154-400400-4000000000004-400400-4000000000004-400400-4000000000004-400400-400000000000
χ164-400-15−51ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ5900000004-400-15−51ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ5900000004-400-15−51ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ5900000004-400-15−51ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ590000000
χ174-400-15−51−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ5900000004-400-15−51−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ5900000004-400-15−51−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ5900000004-400-15−51−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ590000000
χ184-400-1−551ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ5900000004-400-1−551ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ5900000004-400-1−551ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ5900000004-400-1−551ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ590000000
χ194-400-1−551−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ5900000004-400-1−551−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ5900000004-400-1−551−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ5900000004-400-1−551−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ590000000
χ2011111111111111111111111111111111111111−1+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
χ21111111111111111-1-1-1-1111111111111111-1-1-1-1−1+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−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+i32
χ22111111111111-1-1-1ii−i−i111111111111-1-1-1ii−i−i−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−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−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+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ23111111111111-1-1-1−i−iii111111111111-1-1-1−i−iii−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−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−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+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ24111-11111-1-1-1-111-11-11-1111-11111-1-1-1-111-11-11-1−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ25111-11111-1-1-1-111-1-11-11111-11111-1-1-1-111-1-11-11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ26111-11111-1-1-1-1-1-11i−i−ii111-11111-1-1-1-1-1-11i−i−ii−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ27111-11111-1-1-1-1-1-11−iii−i111-11111-1-1-1-1-1-11−iii−i−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ2822-202-2-2200002-20000022-202-2-2200002-200000−1+i3−1+i31−i30−1+i31−i31−i3−1+i30000−1+i31−i300000−1−i3−1−i31+i30−1−i31+i31+i3−1−i30000−1−i31+i300000
χ2922-202-2-220000-220000022-202-2-220000-2200000−1+i3−1+i31−i30−1+i31−i31−i3−1+i300001−i3−1+i300000−1−i3−1−i31+i30−1−i31+i31+i3−1−i300001+i3−1−i300000
χ304444-1-1-1-1-1-1-1-100000004444-1-1-1-1-1-1-1-10000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i321−i321−i321−i321−i320000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i321+i321+i321+i321+i320000000
χ31444-4-1-1-1-111110000000444-4-1-1-1-111110000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000
χ3244-40-111-155−5−5000000044-40-111-155−5−50000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i32−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ380000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i32−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ580000000
χ3344-40-111-1−5−555000000044-40-111-1−5−5550000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i32ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ380000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i32ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ580000000
χ344-400400-4000000000004-400400-400000000000−2+2i32−2i300−2+2i3002−2i300000000000−2−2i32+2i300−2−2i3002+2i300000000000
χ354-400-15−51ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ5900000004-400-15−51ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ590000000−2+2i32−2i3001−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−1+i32−ζ11+ζ23−ζ47+ζ59ζ11−ζ23+ζ47−ζ59ζ11+ζ23−ζ47−ζ59−ζ11−ζ23+ζ47+ζ590000000−2−2i32+2i3001+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−1−i32−ζ7+ζ19−ζ31+ζ43ζ7−ζ19+ζ31−ζ43−ζ7−ζ19+ζ31+ζ43ζ7+ζ19−ζ31−ζ430000000
χ364-400-15−51−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ5900000004-400-15−51−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ590000000−2+2i32−2i3001−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−1+i32ζ11−ζ23+ζ47−ζ59−ζ11+ζ23−ζ47+ζ59−ζ11−ζ23+ζ47+ζ59ζ11+ζ23−ζ47−ζ590000000−2−2i32+2i3001+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−1−i32ζ7−ζ19+ζ31−ζ43−ζ7+ζ19−ζ31+ζ43ζ7+ζ19−ζ31−ζ43−ζ7−ζ19+ζ31+ζ430000000
χ374-400-1−551ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ5900000004-400-1−551ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ590000000−2+2i32−2i3001−i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−1+i32ζ11+ζ23−ζ47−ζ59−ζ11−ζ23+ζ47+ζ59ζ11−ζ23+ζ47−ζ59−ζ11+ζ23−ζ47+ζ590000000−2−2i32+2i3001+i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−1−i32−ζ7−ζ19+ζ31+ζ43ζ7+ζ19−ζ31−ζ43ζ7−ζ19+ζ31−ζ43−ζ7+ζ19−ζ31+ζ430000000
χ384-400-1−551−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ5900000004-400-1−551−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ590000000−2+2i32−2i3001−i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−1+i32−ζ11−ζ23+ζ47+ζ59ζ11+ζ23−ζ47−ζ59−ζ11+ζ23−ζ47+ζ59ζ11−ζ23+ζ47−ζ590000000−2−2i32+2i3001+i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−1−i32ζ7+ζ19−ζ31−ζ43−ζ7−ζ19+ζ31+ζ43−ζ7+ζ19−ζ31+ζ43ζ7−ζ19+ζ31−ζ430000000
χ3911111111111111111111111111111111111111−1−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
χ40111111111111111-1-1-1-1111111111111111-1-1-1-1−1−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+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−i32
χ41111111111111-1-1-1ii−i−i111111111111-1-1-1ii−i−i−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+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1+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−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59
χ42111111111111-1-1-1−i−iii111111111111-1-1-1−i−iii−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+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1+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−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59
χ43111-11111-1-1-1-111-11-11-1111-11111-1-1-1-111-11-11-1−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ44111-11111-1-1-1-111-1-11-11111-11111-1-1-1-111-1-11-11−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32
χ45111-11111-1-1-1-1-1-11i−i−ii111-11111-1-1-1-1-1-11i−i−ii−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ46111-11111-1-1-1-1-1-11−iii−i111-11111-1-1-1-1-1-11−iii−i−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ4722-202-2-2200002-20000022-202-2-2200002-200000−1−i3−1−i31+i30−1−i31+i31+i3−1−i30000−1−i31+i300000−1+i3−1+i31−i30−1+i31−i31−i3−1+i30000−1+i31−i300000
χ4822-202-2-220000-220000022-202-2-220000-2200000−1−i3−1−i31+i30−1−i31+i31+i3−1−i300001+i3−1−i300000−1+i3−1+i31−i30−1+i31−i31−i3−1+i300001−i3−1+i300000
χ494444-1-1-1-1-1-1-1-100000004444-1-1-1-1-1-1-1-10000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i321+i321+i321+i321+i320000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i321−i321−i321−i321−i320000000
χ50444-4-1-1-1-111110000000444-4-1-1-1-111110000000−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000
χ5144-40-111-155−5−5000000044-40-111-155−5−50000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i32−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ580000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i32−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ380000000
χ5244-40-111-1−5−555000000044-40-111-1−5−5550000000−2−2i3−2−2i32+2i301+i32−1−i32−1−i321+i32ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ580000000−2+2i3−2+2i32−2i301−i32−1+i32−1+i321−i32ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ380000000
χ534-400400-4000000000004-400400-400000000000−2−2i32+2i300−2−2i3002+2i300000000000−2+2i32−2i300−2+2i3002−2i300000000000
χ544-400-15−51ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ5900000004-400-15−51ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ590000000−2−2i32+2i3001+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−1−i32−ζ7+ζ19−ζ31+ζ43ζ7−ζ19+ζ31−ζ43−ζ7−ζ19+ζ31+ζ43ζ7+ζ19−ζ31−ζ430000000−2+2i32−2i3001−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−1+i32−ζ11+ζ23−ζ47+ζ59ζ11−ζ23+ζ47−ζ59ζ11+ζ23−ζ47−ζ59−ζ11−ζ23+ζ47+ζ590000000
χ554-400-15−51−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ5900000004-400-15−51−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ590000000−2−2i32+2i3001+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−1−i32ζ7−ζ19+ζ31−ζ43−ζ7+ζ19−ζ31+ζ43ζ7+ζ19−ζ31−ζ43−ζ7−ζ19+ζ31+ζ430000000−2+2i32−2i3001−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−1+i32ζ11−ζ23+ζ47−ζ59−ζ11+ζ23−ζ47+ζ59−ζ11−ζ23+ζ47+ζ59ζ11+ζ23−ζ47−ζ590000000
χ564-400-1−551ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ5900000004-400-1−551ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ590000000−2−2i32+2i3001+i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−1−i32−ζ7−ζ19+ζ31+ζ43ζ7+ζ19−ζ31−ζ43ζ7−ζ19+ζ31−ζ43−ζ7+ζ19−ζ31+ζ430000000−2+2i32−2i3001−i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−1+i32ζ11+ζ23−ζ47−ζ59−ζ11−ζ23+ζ47+ζ59ζ11−ζ23+ζ47−ζ59−ζ11+ζ23−ζ47+ζ590000000
χ574-400-1−551−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ5900000004-400-1−551−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ590000000−2−2i32+2i3001+i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−1−i32ζ7+ζ19−ζ31−ζ43−ζ7−ζ19+ζ31+ζ43−ζ7+ζ19−ζ31+ζ43ζ7−ζ19+ζ31−ζ430000000−2+2i32−2i3001−i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−1+i32−ζ11−ζ23+ζ47+ζ59ζ11+ζ23−ζ47−ζ59−ζ11+ζ23−ζ47+ζ59ζ11−ζ23+ζ47−ζ590000000
χ583333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ59333333333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000
χ60333333333333-3-3-33i3i−3i−3i-1-1-1-1-1-1-1-1-1-1-1-1111−i−iii00000000000000000000000000000000000000
χ61333333333333-3-3-3−3i−3i3i3i-1-1-1-1-1-1-1-1-1-1-1-1111ii−i−i00000000000000000000000000000000000000
χ62333-33333-3-3-3-333-33-33-3-1-1-11-1-1-1-11111-1-11-11-1100000000000000000000000000000000000000
χ63333-33333-3-3-3-333-3-33-33-1-1-11-1-1-1-11111-1-111-11-100000000000000000000000000000000000000
χ64333-33333-3-3-3-3-3-333i−3i−3i3i-1-1-11-1-1-1-1111111-1−iii−i00000000000000000000000000000000000000
χ65333-33333-3-3-3-3-3-33−3i3i3i−3i-1-1-11-1-1-1-1111111-1i−i−ii00000000000000000000000000000000000000
χ6666-606-6-6600006-600000-2-220-222-20000-220000000000000000000000000000000000000000000
χ6766-606-6-660000-6600000-2-220-222-200002-20000000000000000000000000000000000000000000
χ6812121212-3-3-3-3-3-3-3-30000000-4-4-4-411111111000000000000000000000000000000000000000000000
χ69121212-12-3-3-3-333330000000-4-4-441111-1-1-1-1000000000000000000000000000000000000000000000
χ701212-120-333-33535−35−350000000-4-4401-1-11−5−555000000000000000000000000000000000000000000000
χ711212-120-333-3−35−3535350000000-4-4401-1-1155−5−5000000000000000000000000000000000000000000000
χ7212-12001200-1200000000000-4400-40040000000000000000000000000000000000000000000000000
χ7312-1200-335−3533ζ7+3ζ11−3ζ19−3ζ23+3ζ31−3ζ43+3ζ47−3ζ59−3ζ7−3ζ11+3ζ19+3ζ23−3ζ31+3ζ43−3ζ47+3ζ593ζ7−3ζ11+3ζ19−3ζ23−3ζ31−3ζ43+3ζ47+3ζ59−3ζ7+3ζ11−3ζ19+3ζ23+3ζ31+3ζ43−3ζ47−3ζ590000000-44001−55-1−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59000000000000000000000000000000000000000000000
χ7412-1200-335−353−3ζ7−3ζ11+3ζ19+3ζ23−3ζ31+3ζ43−3ζ47+3ζ593ζ7+3ζ11−3ζ19−3ζ23+3ζ31−3ζ43+3ζ47−3ζ59−3ζ7+3ζ11−3ζ19+3ζ23+3ζ31+3ζ43−3ζ47−3ζ593ζ7−3ζ11+3ζ19−3ζ23−3ζ31−3ζ43+3ζ47+3ζ590000000-44001−55-1ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59000000000000000000000000000000000000000000000
χ7512-1200-3−353533ζ7−3ζ11+3ζ19−3ζ23−3ζ31−3ζ43+3ζ47+3ζ59−3ζ7+3ζ11−3ζ19+3ζ23+3ζ31+3ζ43−3ζ47−3ζ59−3ζ7−3ζ11+3ζ19+3ζ23−3ζ31+3ζ43−3ζ47+3ζ593ζ7+3ζ11−3ζ19−3ζ23+3ζ31−3ζ43+3ζ47−3ζ590000000-440015−5-1−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59000000000000000000000000000000000000000000000
χ7612-1200-3−35353−3ζ7+3ζ11−3ζ19+3ζ23+3ζ31+3ζ43−3ζ47−3ζ593ζ7−3ζ11+3ζ19−3ζ23−3ζ31−3ζ43+3ζ47+3ζ593ζ7+3ζ11−3ζ19−3ζ23+3ζ31−3ζ43+3ζ47−3ζ59−3ζ7−3ζ11+3ζ19+3ζ23−3ζ31+3ζ43−3ζ47+3ζ590000000-440015−5-1ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59000000000000000000000000000000000000000000000

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