Finite Group Databasebeta

← Group #14279423

Character table — Group #14279423

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444444888888888888888888888888888888161616161616161616161648484848484848484848808080808080120120240
order1223556101046101015153030303030302441010101012121212122020202020206060606060606060606060606202030303030606060604420202020202020208824242424884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111-11-1-1-1-1-1111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−ii−iii−i−i11-1
χ6111111111111111111111-11-1-1-1-1-1111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−i−ii−i−iii-1-11
χ7111111111111111111111-11-1-1-1-1-1111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiiii−iii−i−i-1-11
χ8111111111111111111111-11-1-1-1-1-1111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−ii−i−iii11-1
χ92222222222222222222222-2-222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222-2-22222-2-2-2-20000000000000000000
χ10222222222222222222222-2-22-2-2-2-22-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-222-2-2-2-222220000000000000000000
χ112222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000
χ122222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000000
χ132222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5221+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−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+ζ58000000000
χ142222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5221+521−52−1−52−1−52−1+52−1+521+521+521−521−5200ζ14−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−ζ58000000000
χ152222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-21+521+521−521−52222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521+521−521−522i−2i−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000000
χ162222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-21+521+521−521−52222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521+521−521−52−2i2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000
χ172222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+521+521−521−522-2-222−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000
χ182222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+521+521−521−522-2-222−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000
χ192222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−5222222−1+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+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000
χ202222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−5222222−1+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+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000
χ212222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5221−521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ2+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+ζ46000000000
χ222222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5221−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−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−ζ46000000000
χ232222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521−521+521+52222-2-2−1+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+52−1−52−1−52-21−521+521−521−521+521+521−521−521+521+522i−2i−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000
χ242222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521−521+521+52222-2-2−1+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+52−1−52−1−52-21−521+521−521−521+521+521−521−521+521+52−2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000
χ252222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+522-2-222−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000
χ262222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+522-2-222−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000
χ27222-122-1222-122-1-1-1-1-1-1-1-12222222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000022-1-1-1-1000
χ28222-122-1222-122-1-1-1-1-1-1-1-12222222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000-2-21111000
χ29222-122-1222-122-1-1-1-1-1-1-1-12-2-22222-1111122-2-2-2-211111111-1-1-1-1-1-2-2-1-1-1-111110000000000003−33−3000
χ30222-122-1222-122-1-1-1-1-1-1-1-12-2-22222-1111122-2-2-2-211111111-1-1-1-1-1-2-2-1-1-1-11111000000000000−33−33000
χ31222-122-1222-122-1-1-1-1-1-1-1-1-22-2-2-2-2-2-1-1-111222222-1-1-1-1-1-1-1-1-1-1-1-11-2-21111111100000000002i−2i−i−iii000
χ32222-122-1222-122-1-1-1-1-1-1-1-1-22-2-2-2-2-2-1-1-111222222-1-1-1-1-1-1-1-1-1-1-1-11-2-2111111110000000000−2i2iii−i−i000
χ33222-122-1222-122-1-1-1-1-1-1-1-1-2-22-2-2-2-2-111-1-122-2-2-2-211111111-1-1-1-11221111-1-1-1-1000000000000−i3i3i3−i3000
χ34222-122-1222-122-1-1-1-1-1-1-1-1-2-22-2-2-2-2-111-1-122-2-2-2-211111111-1-1-1-11221111-1-1-1-1000000000000i3−i3−i3i3000
χ35444444444-4444444444440000000-40000-4-4000000000000-4-4-4-4000000000000000000000000000000
χ364444−1−5−1+54−1−5−1+5-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58-400001+51−50000000000001+51+51−51−5000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000000
χ374444−1−5−1+54−1−5−1+5-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58-400001+51−50000000000001+51+51−51−50002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000000
χ384444−1+5−1−54−1+5−1−5-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46-400001−51+50000000000001−51−51+51+50002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000000
χ394444−1+5−1−54−1+5−1−5-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46-400001−51+50000000000001−51−51+51+5000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000000
χ40444-244-244-4-244-2-2-2-2-2-2-2-20000000200−2i32i3-4-400000000000022220000000−2i32i3−2i32i30000000000000000000
χ41444-244-244-4-244-2-2-2-2-2-2-2-200000002002i3−2i3-4-4000000000000222200000002i3−2i32i3−2i30000000000000000000
χ42444-2−1−5−1+5-2−1−5−1+54-2−1−5−1+51+521−521+521+521−521−521+521−52444−1−5−1−5−1+5−1+5-2-2-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−52-2−1−5−1+51+521+521−521−521+521+521−521−520000000000000000000
χ43444-2−1−5−1+5-2−1−5−1+54-2−1−5−1+51+521−521+521+521−521−521+521−524-4-4−1−5−1−5−1+5−1+5-22222−1−5−1+51+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-21+51−51+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000
χ44444-2−1−5−1+5-2−1−5−1+54-2−1−5−1+51+521−521+521+521−521−521+521−52-44-41+51+51−51−5-2-2-222−1−5−1+5−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−5221+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000
χ45444-2−1−5−1+5-2−1−5−1+54-2−1−5−1+51+521−521+521+521−521−521+521−52-4-441+51+51−51−5-222-2-2−1−5−1+51+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−522−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000
χ46444-2−1−5−1+5-2−1−5−1+5-4-2−1−5−1+51+521−521+521+521−521−521+521−52000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58200−2i32i31+51−50000ζ14−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+ζ58−1−52−1−52−1+52−1+52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000
χ47444-2−1−5−1+5-2−1−5−1+5-4-2−1−5−1+51+521−521+521+521−521−521+521−52000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582002i3−2i31+51−50000−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−ζ58−1−52−1−52−1+52−1+52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000
χ48444-2−1−5−1+5-2−1−5−1+5-4-2−1−5−1+51+521−521+521+521−521−521+521−520002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58200−2i32i31+51−50000−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−ζ58−1−52−1−52−1+52−1+52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000
χ49444-2−1−5−1+5-2−1−5−1+5-4-2−1−5−1+51+521−521+521+521−521−521+521−520002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582002i3−2i31+51−50000ζ14−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+ζ58−1−52−1−52−1+52−1+52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000
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χ53444-2−1+5−1−5-2−1+5−1−54-2−1+5−1−51−521+521−521−521+521+521−521+52-4-441−51−51+51+5-222-2-2−1+5−1−51−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+522−1+5−1−5−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000
χ54444-2−1+5−1−5-2−1+5−1−5-4-2−1+5−1−51−521+521−521−521+521+521−521+520002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46200−2i32i31−51+50000−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+ζ46−1+52−1+52−1−52−1−52000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000
χ55444-2−1+5−1−5-2−1+5−1−5-4-2−1+5−1−51−521+521−521−521+521+521−521+520002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462002i3−2i31−51+50000ζ2−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−ζ46−1+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−ζ460000000000000000000
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χ57444-2−1+5−1−5-2−1+5−1−5-4-2−1+5−1−51−521+521−521−521+521+521−521+52000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462002i3−2i31−51+50000−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+ζ46−1+52−1+52−1−52−1−52000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000
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χ748-80-4−2−25−2+2542+252−2500001+51−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+50000000023−230000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ31−2ζ59−2ζ31+2ζ592ζ11−2ζ19−2ζ11+2ζ19−2ζ7+2ζ232ζ7−2ζ232ζ43−2ζ47−2ζ43+2ζ470000000000000000000000000000000000
χ758-80-4−2−25−2+2542+252−2500001+51−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+500000000−232300002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ31+2ζ592ζ31−2ζ59−2ζ11+2ζ192ζ11−2ζ192ζ7−2ζ23−2ζ7+2ζ23−2ζ43+2ζ472ζ43−2ζ470000000000000000000000000000000000
χ768-80-4−2−25−2+2542+252−2500001+51−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+50000000023−2300002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ192ζ11−2ζ19−2ζ31+2ζ592ζ31−2ζ59−2ζ43+2ζ472ζ43−2ζ472ζ7−2ζ23−2ζ7+2ζ230000000000000000000000000000000000
χ778-80-4−2−25−2+2542+252−2500001+51−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+500000000−23230000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ11+2ζ192ζ31−2ζ59−2ζ31+2ζ592ζ43−2ζ47−2ζ43+2ζ47−2ζ7+2ζ232ζ7−2ζ230000000000000000000000000000000000
χ788-80-4−2+25−2−2542−252+2500001−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−50000000023−230000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ7+2ζ23−2ζ43+2ζ472ζ43−2ζ472ζ11−2ζ19−2ζ11+2ζ192ζ31−2ζ59−2ζ31+2ζ590000000000000000000000000000000000
χ798-80-4−2+25−2−2542−252+2500001−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−500000000−232300002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ232ζ7−2ζ232ζ43−2ζ47−2ζ43+2ζ47−2ζ11+2ζ192ζ11−2ζ19−2ζ31+2ζ592ζ31−2ζ590000000000000000000000000000000000
χ808-80-4−2+25−2−2542−252+2500001−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−50000000023−2300002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ43−2ζ47−2ζ43+2ζ47−2ζ7+2ζ232ζ7−2ζ23−2ζ31+2ζ592ζ31−2ζ59−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000000
χ818-80-4−2+25−2−2542−252+2500001−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−500000000−23230000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ43+2ζ472ζ43−2ζ472ζ7−2ζ23−2ζ7+2ζ232ζ31−2ζ59−2ζ31+2ζ592ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000

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