Finite Group Databasebeta

← Group #14316793

Character table — Group #14316793

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112222222444444444444448888888888888161616161616161616161616161616161616162424242424242424242424242424242440404040484880808080120120240
order1223556101022461010101010101515303066101012202030303030303041212202020203030606060606060606060602244101010101010101020202020246620208122424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111111111-1-1-11-1-1-1-11
χ6111111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-11-11111-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-11-1-111-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11
χ92222222222-2-222222222222-22-2-2-2-2-22222220000000-2-2-2-200000000020-20000222200000000-2-20000000
χ102222222222-2-222222222222-22-2-2-2-2-22222220000000-2-2-2-2000000000-2020000-2-2-2-200000000220000000
χ11222222222-22-22-2-2-2-22222222-222-2-2-222-2-2-2-2000000022-2-20000000000000000000000002-222000-200000
χ12222222222-22-22-2-2-2-22222222-222-2-2-222-2-2-2-2000000022-2-2000000000000000000000000-22-2-2000200000
χ13222222222-2-222-2-2-2-2222222-2-2-2-222222-2-2-2-20000000-2-22200000000000000000000000000000000002-20
χ14222222222-2-222-2-2-2-2222222-2-2-2-222222-2-2-2-20000000-2-2220000000000000000000000000000000000-220
χ152222−1−52−1+522−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+522−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+520000000
χ162222−1−52−1+522−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+522−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−5200001+521−520000000
χ172222−1−52−1+522−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−520000000
χ182222−1−52−1+522−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+520000000
χ192222−1−52−1+522−1−52−1+522-2-22−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-221+521−52-21+521−52−1−52−1+52−1−52−1−52−1+52−1+52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521−521+521−52−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+ζ58020-2−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1−52−1+52−1+52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800001+521−520000000
χ202222−1−52−1+522−1−52−1+522-2-22−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-221+521−52-21+521−52−1−52−1+52−1−52−1−52−1+52−1+52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521−521+521−52−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+ζ580-202ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521+521−521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000−1−52−1+520000000
χ212222−1−52−1+522−1−52−1+522-2-22−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-221+521−52-21+521−52−1−52−1+52−1−52−1−52−1+52−1+52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521−521+521−52ζ14−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−ζ58020-2ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1−52−1+52−1+52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800001+521−520000000
χ222222−1−52−1+522−1−52−1+522-2-22−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-221+521−52-21+521−52−1−52−1+52−1−52−1−52−1+52−1+52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521−521+521−52ζ14−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−ζ580-202−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521+521−521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000−1−52−1+520000000
χ232222−1+52−1−522−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−522−1+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+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−520000000
χ242222−1+52−1−522−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−522−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+5200001−521+520000000
χ252222−1+52−1−522−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+520000000
χ262222−1+52−1−522−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−520000000
χ272222−1+52−1−522−1+52−1−522-2-22−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-221−521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−52000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−521+521−521+52ζ2+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+ζ46020-2ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1+52−1−52−1−52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600001−521+520000000
χ282222−1+52−1−522−1+52−1−522-2-22−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-221−521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−52000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−521+521−521+52ζ2+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+ζ460-202−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−521−521+521+52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000−1+52−1−520000000
χ292222−1+52−1−522−1+52−1−522-2-22−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-221−521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−52000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−521+521−521+52−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−ζ46020-2−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+52−1+52−1−52−1−52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600001−521+520000000
χ302222−1+52−1−522−1+52−1−522-2-22−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-221−521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−52000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−521+521−521+52−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−ζ460-202ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−521−521+521+52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000−1+52−1−520000000
χ31222-122-122222-1222222-1-1-1-1-1-122-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1002-1-1-1000
χ32222-122-122222-1222222-1-1-1-1-1-122-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-21100-2111000
χ33222-122-122222-1222222-1-1-1-1-1-122-122-1-1-1-1-1-1-211-2-2-2-2-1-1-1-111111111000000000000000022-1-100-2-111000
χ34222-122-122222-1222222-1-1-1-1-1-122-122-1-1-1-1-1-1-211-2-2-2-2-1-1-1-1111111110000000000000000-2-2110021-1-1000
χ35222-122-122-22-2-1-2-2-2-222-1-1-1-1-11221-2-2-1-1111103−30000-1-1113−33−33−33−300000000000000002-2-1-100013−3000
χ36222-122-122-22-2-1-2-2-2-222-1-1-1-1-11221-2-2-1-1111103−30000-1-1113−33−33−33−30000000000000000-2211000-1−33000
χ37222-122-122-22-2-1-2-2-2-222-1-1-1-1-11221-2-2-1-111110−330000-1-111−33−33−33−3300000000000000002-2-1-10001−33000
χ38222-122-122-22-2-1-2-2-2-222-1-1-1-1-11221-2-2-1-111110−330000-1-111−33−33−33−330000000000000000-2211000-13−3000
χ394444−1−5−1+54−1−5−1+5-44-441+51+51−51−5−1−5−1+5−1−5−1+5−1−5−1+54-4−1−5−1+5-41+51−5−1−5−1+51+51+51−51−50000000−1−5−1+51+51−50000000000000000000000000000000000000
χ404444−1−5−1+54−1−5−1+5-4-4441+51+51−51−5−1−5−1+5−1−5−1+5−1−5−1+5-4-41+51−54−1−5−1+5−1−5−1+51+51+51−51−500000001+51−5−1−5−1+50000000000000000000000000000000000000
χ414444−1+5−1−54−1+5−1−5-44-441−51−51+51+5−1+5−1−5−1+5−1−5−1+5−1−54-4−1+5−1−5-41−51+5−1+5−1−51−51−51+51+50000000−1+5−1−51−51+50000000000000000000000000000000000000
χ424444−1+5−1−54−1+5−1−5-4-4441−51−51+51+5−1+5−1−5−1+5−1−5−1+5−1−5-4-41−51+54−1+5−1−5−1+5−1−51−51−51+51+500000001−51+5−1+5−1−50000000000000000000000000000000000000
χ43444-244-2444-4-4-2444444-2-2-2-22-2-4-42-4-4-2-2-2-2-2-2000000022220000000000000000000000000000000000000
χ44444-244-244-4-44-2-4-4-4-444-2-2-2-222-4-4-244-2-22222000000022-2-20000000000000000000000000000000000000
χ45444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1−5−1+5−1+5−1−5−1+51+521−521+521−52-2-2−1−5−1+5-2−1−5−1+51+521−521+521+521−521−524-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−5200000000000000000000000000000
χ46444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1−5−1+5−1+5−1−5−1+51+521−521+521−52-2-2−1−5−1+5-2−1−5−1+51+521−521+521+521−521−52-4221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000000000
χ47444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1−5−1+5−1+5−1−5−1+51+521−521+521−522-21+51−521+51−51+521−521+521+521−521−52000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−52−1+52−1−52−1+52ζ14−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−ζ5800000000000000000000000000000
χ48444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1−5−1+5−1+5−1−5−1+51+521−521+521−522-21+51−521+51−51+521−521+521+521−521−520002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−52−1+52−1−52−1+52−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+ζ5800000000000000000000000000000
χ49444-2−1−5−1+5-2−1−5−1+5-44-4-21+51+51−51−5−1−5−1+51+521−521+521−52-22−1−5−1+521+51−51+521−52−1−52−1−52−1+52−1+52023−2300001+521−52−1−52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000000000000000
χ50444-2−1−5−1+5-2−1−5−1+5-44-4-21+51+51−51−5−1−5−1+51+521−521+521−52-22−1−5−1+521+51−51+521−52−1−52−1−52−1+52−1+520−232300001+521−52−1−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000000000000000000000
χ51444-2−1−5−1+5-2−1−5−1+5-4-44-21+51+51−51−5−1−5−1+51+521−521+521−52221+51−5-2−1−5−1+51+521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000000000
χ52444-2−1−5−1+5-2−1−5−1+5-4-44-21+51+51−51−5−1−5−1+51+521−521+521−52221+51−5-2−1−5−1+51+521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000000
χ53444-2−1+5−1−5-2−1+5−1−5444-2−1+5−1+5−1−5−1−5−1+5−1−51−521+521−521+52-2-2−1+5−1−5-2−1+5−1−51−521+521−521−521+521+524-2-2−1+5−1+5−1−5−1−51−521+521−521+521−521−521−521−521+521+521+521+5200000000000000000000000000000
χ54444-2−1+5−1−5-2−1+5−1−5444-2−1+5−1+5−1−5−1−5−1+5−1−51−521+521−521+52-2-2−1+5−1−5-2−1+5−1−51−521+521−521−521+521+52-4221−51−51+51+51−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000000000
χ55444-2−1+5−1−5-2−1+5−1−54-4-4-2−1+5−1+5−1−5−1−5−1+5−1−51−521+521−521+522-21−51+521−51+51−521+521−521−521+521+520002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+52−1−52−1+52−1−52−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−ζ4600000000000000000000000000000
χ56444-2−1+5−1−5-2−1+5−1−54-4-4-2−1+5−1+5−1−5−1−5−1+5−1−51−521+521−521+522-21−51+521−51+51−521+521−521−521+521+52000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+52−1−52−1+52−1−52ζ2+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+ζ4600000000000000000000000000000
χ57444-2−1+5−1−5-2−1+5−1−5-44-4-21−51−51+51+5−1+5−1−51−521+521−521+52-22−1+5−1−521−51+51−521+52−1+52−1+52−1−52−1−52023−2300001−521+52−1+52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000000000000000000
χ58444-2−1+5−1−5-2−1+5−1−5-44-4-21−51−51+51+5−1+5−1−51−521+521−521+52-22−1+5−1−521−51+51−521+52−1+52−1+52−1−52−1−520−232300001−521+52−1+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000000000000000
χ59444-2−1+5−1−5-2−1+5−1−5-4-44-21−51−51+51+5−1+5−1−51−521+521−521+52221−51+5-2−1+5−1−51−521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000000
χ60444-2−1+5−1−5-2−1+5−1−5-4-44-21−51−51+51+5−1+5−1−51−521+521−521+52221−51+5-2−1+5−1−51−521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000000
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χ6344-44−1−5−1+54−1−5−1+5000-4−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+51−5−1−5−1+5−1−5−1+500000001+51−5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58000000000000000000020-202ζ26+2ζ462ζ14+2ζ342ζ2+2ζ222ζ38+2ζ580000−2ζ26−2ζ46−2ζ14−2ζ34−2ζ2−2ζ22−2ζ38−2ζ580000000000000
χ6444-44−1−5−1+54−1−5−1+5000-4−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+51−5−1−5−1+5−1−5−1+500000001+51−5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000-2020−2ζ26−2ζ46−2ζ14−2ζ34−2ζ2−2ζ22−2ζ38−2ζ5800002ζ26+2ζ462ζ14+2ζ342ζ2+2ζ222ζ38+2ζ580000000000000
χ6544-44−1−5−1+54−1−5−1+5000-42ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+51−5−1−5−1+5−1−5−1+500000001+51−52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58000000000000000000020-202ζ14+2ζ342ζ26+2ζ462ζ38+2ζ582ζ2+2ζ220000−2ζ14−2ζ34−2ζ26−2ζ46−2ζ38−2ζ58−2ζ2−2ζ220000000000000
χ6644-44−1−5−1+54−1−5−1+5000-42ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+51−5−1−5−1+5−1−5−1+500000001+51−52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000-2020−2ζ14−2ζ34−2ζ26−2ζ46−2ζ38−2ζ58−2ζ2−2ζ2200002ζ14+2ζ342ζ26+2ζ462ζ38+2ζ582ζ2+2ζ220000000000000
χ6744-44−1+5−1−54−1+5−1−5000-42ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51+5−1+5−1−5−1+5−1−500000001−51+52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46000000000000000000020-202ζ2+2ζ222ζ38+2ζ582ζ14+2ζ342ζ26+2ζ460000−2ζ2−2ζ22−2ζ38−2ζ58−2ζ14−2ζ34−2ζ26−2ζ460000000000000
χ6844-44−1+5−1−54−1+5−1−5000-42ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51+5−1+5−1−5−1+5−1−500000001−51+52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000-2020−2ζ2−2ζ22−2ζ38−2ζ58−2ζ14−2ζ34−2ζ26−2ζ4600002ζ2+2ζ222ζ38+2ζ582ζ14+2ζ342ζ26+2ζ460000000000000
χ6944-44−1+5−1−54−1+5−1−5000-4−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+5−1+5−1−5−1+5−1−500000001−51+5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46000000000000000000020-202ζ38+2ζ582ζ2+2ζ222ζ26+2ζ462ζ14+2ζ340000−2ζ38−2ζ58−2ζ2−2ζ22−2ζ26−2ζ46−2ζ14−2ζ340000000000000
χ7044-44−1+5−1−54−1+5−1−5000-4−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+5−1+5−1−5−1+5−1−500000001−51+5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000-2020−2ζ38−2ζ58−2ζ2−2ζ22−2ζ26−2ζ46−2ζ14−2ζ3400002ζ38+2ζ582ζ2+2ζ222ζ26+2ζ462ζ14+2ζ340000000000000
χ7188-8-488-48800040000-8-8-4-4-4-40000000440000000000000000000000000000000000000000000000000000
χ7288-8-4−2−25−2+25-4−2−25−2+250004−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ464ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ582+252−251+51−51+51−50000000−1−5−1+52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58000000000000000000000000000000000000000000000000
χ7388-8-4−2−25−2+25-4−2−25−2+2500044ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ582+252−251+51−51+51−50000000−1−5−1+5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58000000000000000000000000000000000000000000000000
χ7488-8-4−2+25−2−25-4−2+25−2−2500044ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ462−252+251−51+51−51+50000000−1+5−1−5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46000000000000000000000000000000000000000000000000
χ7588-8-4−2+25−2−25-4−2+25−2−250004−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+251−51+51−51+50000000−1+5−1−52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46000000000000000000000000000000000000000000000000
χ768-80888-8-8-8000000000088-8-80000000000000000000000000000000000000000000000000000000000000
χ778-808−2−25−2+25-82+252−250000000000−2−25−2+252+252−250000000000000000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000
χ788-808−2−25−2+25-82+252−250000000000−2−25−2+252+252−2500000000000000000000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000
χ798-808−2+25−2−25-82−252+250000000000−2+25−2−252−252+2500000000000000000000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000
χ808-808−2+25−2−25-82−252+250000000000−2+25−2−252−252+250000000000000000000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000
χ818-80-4884-8-80000000000-4-44400000000000000000000000000000000000000000000000000−2i32i3000000000
χ828-80-4884-8-80000000000-4-444000000000000000000000000000000000000000000000000002i3−2i3000000000
χ8316-160-8−4−45−4+4584+454−4500000000002+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000
χ8416-160-8−4+45−4−4584−454+4500000000002−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000

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