Finite Group Databasebeta

← Group #14316761

Character table — Group #14316761

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222224444444444444444444488888888888888888888888888161616161616161616161624242424242424242424484848484860606060808080808080120120
order12235561010224446101015152020202030303030303026610101010121212202020206060606060606060606060606101030303030303030302410101010202020208404040404444441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511111111111-1-11111111111111111-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-111-1-11-111-1-11-1
χ611111111111-1-11111111111111111-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-111-11-1-111-11
χ711111111111-1-11111111111111111-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-1111-1
χ811111111111-1-11111111111111111-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-111-1-1-11
χ92222222222-200-222222-2-2-2-222222202-222-2-2-2000000-2-2-2-20000000000022-2-2000000000000000000000220000000-2
χ102222222222-200-222222-2-2-2-222222202-222-2-2-2000000-2-2-2-20000000000022-2-2000000000000000000000-2-200000002
χ11222222222-2200-222222-2-2-2-22222220-22-2-222-2000000-2-2-2-200000000000-2-22200000000000000000002200000000-20
χ12222222222-2200-222222-2-2-2-22222220-22-2-222-2000000-2-2-2-200000000000-2-2220000000000000000000-2-20000000020
χ13222222222-2-2222222222222222222-2-2-2-2-2-2-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000
χ14222222222-2-2-2-222222222222222222-2-2-2-2-2-22-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222-2-2-2-22222000000000000000000000000000
χ152222−1−52−1+522−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+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+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+522−1−52−1−52−1+52−1+52000000000000
χ162222−1−52−1+522−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+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+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+521−521−52-21+521+521−521−52000000000000
χ172222−1−52−1+522−1−52−1+5222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-222−1−52−1+52−1−52−1+522-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-21+521−52−1−52−1+52−1−52−1+521+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52000000000000
χ182222−1−52−1+522−1−52−1+5222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-222−1−52−1+52−1−52−1+522-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-21+521−52−1−52−1+52−1−52−1+521+521+521−521−52-2-21+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+52000000000000
χ192222−1−52−1+522−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-21+521−521+521−52222−1−52−1−52−1+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+52-21+521−521+521−521+521−521+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+ζ580−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000
χ202222−1−52−1+522−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-21+521−521+521−52222−1−52−1−52−1+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+52-21+521−521+521−521+521−521+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−ζ580ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000
χ212222−1−52−1+522−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-21+521−521+521−522-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+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+ζ580ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000
χ222222−1−52−1+522−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-21+521−521+521−522-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+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−ζ580−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000
χ232222−1+52−1−522−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−522−1+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+52−1−52−1−522−1+52−1+52−1−52−1−52000000000000
χ242222−1+52−1−522−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−522−1+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+52-21−521−521+521+52000000000000
χ252222−1+52−1−522−1+52−1−5222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222−1+52−1−52−1+52−1−522-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-21−521+52−1+52−1−52−1+52−1−521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52000000000000
χ262222−1+52−1−522−1+52−1−5222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222−1+52−1−52−1+52−1−522-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-21−521+52−1+52−1−52−1+52−1−521−521−521+521+52-2-21−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−52000000000000
χ272222−1+52−1−522−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-21−521+521−521+52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521+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+ζ460ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000
χ282222−1+52−1−522−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-21−521+521−521+52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521+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−ζ460−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000
χ292222−1+52−1−522−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-21−521+521−521+522-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200ζ2+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+ζ460−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000
χ302222−1+52−1−522−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-21−521+521−521+522-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200−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−ζ460ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000
χ31222-122-12222222-122-1-12222-1-1-1-1-1-12-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000022-1-1-1-100
χ32222-122-12222222-122-1-12222-1-1-1-1-1-12-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000000000000-2-2111100
χ33222-122-12222-2-22-122-1-12222-1-1-1-1-1-1-2-1-12222-111-2-2-2-2-1-1-1-1111111111-2-2-1-1-1-1111100000000000000000002-2-1-11100
χ34222-122-12222-2-22-122-1-12222-1-1-1-1-1-1-2-1-12222-111-2-2-2-2-1-1-1-1111111111-2-2-1-1-1-111110000000000000000000-2211-1-100
χ35222-122-122-2-2222-122-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11-2-2111111110000000000000000000003−33−300
χ36222-122-122-2-2222-122-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11-2-211111111000000000000000000000−33−3300
χ37222-122-122-2-2-2-22-122-1-12222-1-1-1-1-1-1211-2-2-2-2-111-2-2-2-2-1-1-1-111111111-1221111-1-1-1-10000000000000000000003−3−3300
χ38222-122-122-2-2-2-22-122-1-12222-1-1-1-1-1-1211-2-2-2-2-111-2-2-2-2-1-1-1-111111111-1221111-1-1-1-1000000000000000000000−333−300
χ394444−1−5−1+54−1−5−1+54-400-44−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+504-4−1−5−1+51+51−5-40000001+51+51−51−500000000000−1−5−1+51+51−50000000000000000000000000000000
χ404444−1−5−1+54−1−5−1+5-4400-44−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+50-441+51−5−1−5−1+5-40000001+51+51−51−5000000000001+51−5−1−5−1+50000000000000000000000000000000
χ414444−1+5−1−54−1+5−1−54-400-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1−5−1−5−1−504-4−1+5−1−51−51+5-40000001−51−51+51+500000000000−1+5−1−51−51+50000000000000000000000000000000
χ424444−1+5−1−54−1+5−1−5-4400-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1−5−1−5−1−50-441−51+5−1+5−1−5-40000001−51−51+51+5000000000001−51+5−1+5−1−50000000000000000000000000000000
χ43444-244-2444-400-4-244-2-2-4-4-4-4-2-2-2-2-2-20-2244-4-42000000222200000000000-2-2220000000000000000000000000000000
χ44444-244-244-4400-4-244-2-2-4-4-4-4-2-2-2-2-2-202-2-4-444200000022220000000000022-2-20000000000000000000000000000000
χ45444-2−1−5−1+5-2−1−5−1+544444-2−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521+521+521−521−521−524-2-2−1−5−1+5−1−5−1+5-2-2-2−1−5−1−5−1+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+521−521−52000000000000000000000000000
χ46444-2−1−5−1+5-2−1−5−1+544-4-44-2−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521+521+521−521−521−52-4-2-2−1−5−1+5−1−5−1+5-2221+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+51−51+521−521+521−52−1−52−1−52−1+52−1+52000000000000000000000000000
χ47444-2−1−5−1+5-2−1−5−1+54-400-4-2−1−5−1+51+521−521+51+51−51−51+521+521+521−521−521−520-22−1−5−1+51+51−52000000−1−52−1−52−1+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+ζ580001+521−52−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000
χ48444-2−1−5−1+5-2−1−5−1+54-400-4-2−1−5−1+51+521−521+51+51−51−51+521+521+521−521−521−520-22−1−5−1+51+51−52000000−1−52−1−52−1+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−ζ580001+521−52−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000
χ49444-2−1−5−1+5-2−1−5−1+5-4400-4-2−1−5−1+51+521−521+51+51−51−51+521+521+521−521−521−5202-21+51−5−1−5−1+52000000−1−52−1−52−1+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+ζ58000−1−52−1+521+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000
χ50444-2−1−5−1+5-2−1−5−1+5-4400-4-2−1−5−1+51+521−521+51+51−51−51+521+521+521−521−521−5202-21+51−5−1−5−1+52000000−1−52−1−52−1+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−ζ58000−1−52−1+521+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000
χ51444-2−1−5−1+5-2−1−5−1+5-4-4444-2−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521+521+521−521−521−52-4221+51−51+51−5-2-2-2−1−5−1−5−1+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+52000000000000000000000000000
χ52444-2−1−5−1+5-2−1−5−1+5-4-4-4-44-2−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521+521+521−521−521−524221+51−51+51−5-2221+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−5−1+5−1−52−1+52−1−52−1+521+521+521−521−52000000000000000000000000000
χ53444-2−1+5−1−5-2−1+5−1−544444-2−1+5−1−51−521+52−1+5−1+5−1−5−1−51−521−521−521+521+521+524-2-2−1+5−1−5−1+5−1−5-2-2-2−1+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+52000000000000000000000000000
χ54444-2−1+5−1−5-2−1+5−1−544-4-44-2−1+5−1−51−521+52−1+5−1+5−1−5−1−51−521−521−521+521+521+52-4-2-2−1+5−1−5−1+5−1−5-2221−51−51+51+51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5221−51+51−521+521−521+52−1+52−1+52−1−52−1−52000000000000000000000000000
χ55444-2−1+5−1−5-2−1+5−1−54-400-4-2−1+5−1−51−521+521−51−51+51+51−521−521−521+521+521+520-22−1+5−1−51−51+52000000−1+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+ζ460001−521+52−1+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000
χ56444-2−1+5−1−5-2−1+5−1−54-400-4-2−1+5−1−51−521+521−51−51+51+51−521−521−521+521+521+520-22−1+5−1−51−51+52000000−1+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−ζ460001−521+52−1+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000
χ57444-2−1+5−1−5-2−1+5−1−5-4400-4-2−1+5−1−51−521+521−51−51+51+51−521−521−521+521+521+5202-21−51+5−1+5−1−52000000−1+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+ζ46000−1+52−1−521−521+52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000
χ58444-2−1+5−1−5-2−1+5−1−5-4400-4-2−1+5−1−51−521+521−51−51+51+51−521−521−521+521+521+5202-21−51+5−1+5−1−52000000−1+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−ζ46000−1+52−1−521−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000
χ59444-2−1+5−1−5-2−1+5−1−5-4-4444-2−1+5−1−51−521+52−1+5−1+5−1−5−1−51−521−521−521+521+521+52-4221−51+51−51+5-2-2-2−1+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+52−1−52−1−52000000000000000000000000000
χ60444-2−1+5−1−5-2−1+5−1−5-4-4-4-44-2−1+5−1−51−521+52−1+5−1+5−1−5−1−51−521−521−521+521+521+524221−51+51−51+5-2221−51−51+51+51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2−1+5−1−5−1+52−1−52−1+52−1−521−521−521+521+52000000000000000000000000000
χ6144-444444400000-4-4-44400004-4-44-4-400000000000000000000000000000000000002-22222-2-2-2-200000000000000000
χ6244-444444400000-4-4-44400004-4-44-4-40000000000000000000000000000000000000-22-2-2-2-2222200000000000000000
χ6344-44−1−5−1+54−1−5−1+500000-41+51−5−1−5−1+5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−51+51+5−1+51−51−500000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000002-22ζ26+2ζ462ζ14+2ζ342ζ2+2ζ222ζ38+2ζ58−2ζ26−2ζ46−2ζ14−2ζ34−2ζ2−2ζ22−2ζ38−2ζ5800000000000000000
χ6444-44−1−5−1+54−1−5−1+500000-41+51−5−1−5−1+5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−51+51+5−1+51−51−500000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000-22−2ζ26−2ζ46−2ζ14−2ζ34−2ζ2−2ζ22−2ζ38−2ζ582ζ26+2ζ462ζ14+2ζ342ζ2+2ζ222ζ38+2ζ5800000000000000000
χ6544-44−1−5−1+54−1−5−1+500000-41+51−5−1−5−1+52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−51+51+5−1+51−51−5000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000002-22ζ14+2ζ342ζ26+2ζ462ζ38+2ζ582ζ2+2ζ22−2ζ14−2ζ34−2ζ26−2ζ46−2ζ38−2ζ58−2ζ2−2ζ2200000000000000000
χ6644-44−1−5−1+54−1−5−1+500000-41+51−5−1−5−1+52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−51+51+5−1+51−51−5000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000-22−2ζ14−2ζ34−2ζ26−2ζ46−2ζ38−2ζ58−2ζ2−2ζ222ζ14+2ζ342ζ26+2ζ462ζ38+2ζ582ζ2+2ζ2200000000000000000
χ6744-44−1+5−1−54−1+5−1−500000-41−51+5−1+5−1−52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+51−51−5−1−51+51+5000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000002-22ζ2+2ζ222ζ38+2ζ582ζ14+2ζ342ζ26+2ζ46−2ζ2−2ζ22−2ζ38−2ζ58−2ζ14−2ζ34−2ζ26−2ζ4600000000000000000
χ6844-44−1+5−1−54−1+5−1−500000-41−51+5−1+5−1−52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+51−51−5−1−51+51+5000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000-22−2ζ2−2ζ22−2ζ38−2ζ58−2ζ14−2ζ34−2ζ26−2ζ462ζ2+2ζ222ζ38+2ζ582ζ14+2ζ342ζ26+2ζ4600000000000000000
χ6944-44−1+5−1−54−1+5−1−500000-41−51+5−1+5−1−5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+51−51−5−1−51+51+500000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000002-22ζ38+2ζ582ζ2+2ζ222ζ26+2ζ462ζ14+2ζ34−2ζ38−2ζ58−2ζ2−2ζ22−2ζ26−2ζ46−2ζ14−2ζ3400000000000000000
χ7044-44−1+5−1−54−1+5−1−500000-41−51+5−1+5−1−5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+51−51−5−1−51+51+500000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000-22−2ζ38−2ζ58−2ζ2−2ζ22−2ζ26−2ζ46−2ζ14−2ζ342ζ38+2ζ582ζ2+2ζ222ζ26+2ζ462ζ14+2ζ3400000000000000000
χ714-40444-4-4-4002-20000440000-400-400000000002-22-22-200002-22-22-22-2000000000000000000000000002i−2i2i−2i00000000
χ724-40444-4-4-4002-20000440000-400-400000000002-22-22-200002-22-22-22-200000000000000000000000000−2i2i−2i2i00000000
χ734-40444-4-4-400-220000440000-400-40000000000-22-22-220000-22-22-22-22000000000000000000000000002i−2i−2i2i00000000
χ744-40444-4-4-400-220000440000-400-40000000000-22-22-220000-22-22-22-2200000000000000000000000000−2i2i2i−2i00000000
χ7588-8-488-488000004-8-8-4-40000-444-4440000000000000000000000000000000000000000000000000000000000000000
χ7688-8-4−2−25−2+25-4−2−25−2+250000042+252−251+51−5−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ464ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ581+5−1−5−1−51−5−1+5−1+5000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000000000000000000000000000000
χ7788-8-4−2−25−2+25-4−2−25−2+250000042+252−251+51−54ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ581+5−1−5−1−51−5−1+5−1+500000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000000000000000000000000000
χ7888-8-4−2+25−2−25-4−2+25−2−250000042−252+251−51+54ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ461−5−1+5−1+51+5−1−5−1−500000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000000000000000000000000000000
χ7988-8-4−2+25−2−25-4−2+25−2−250000042−252+251−51+5−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ461−5−1+5−1+51+5−1−5−1−5000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000000000000000000000000000000
χ808-808−2−25−2+25-82+252−25004-40000−2−25−2+2500002+25002−2500000000004-4−1−51+5−1+51−50000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000
χ818-808−2−25−2+25-82+252−2500-440000−2−25−2+2500002+25002−250000000000-441+5−1−51−5−1+500001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000
χ828-808−2+25−2−25-82−252+25004-40000−2+25−2−2500002−25002+2500000000004-4−1+51−5−1−51+50000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000
χ838-808−2+25−2−25-82−252+2500-440000−2+25−2−2500002−25002+250000000000-441−5−1+51+5−1−500001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000
χ848-80-4884-8-8004-40000-4-4000040040000000000-224-44-40000-22-22-22-2200000000000000000000000000000000000000
χ858-80-4884-8-800-440000-4-40000400400000000002-2-44-4400002-22-22-22-200000000000000000000000000000000000000
χ868-80-4−2−25−2+2542+252−25004-400001+51−50000−1−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ5800000000-22−1−51+5−1+51−50000−2ζ26−2ζ342ζ26+2ζ34−2ζ14−2ζ462ζ14+2ζ46−2ζ2−2ζ582ζ2+2ζ58−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000
χ878-80-4−2−25−2+2542+252−25004-400001+51−50000−1−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ5800000000-22−1−51+5−1+51−50000−2ζ14−2ζ462ζ14+2ζ46−2ζ26−2ζ342ζ26+2ζ34−2ζ22−2ζ382ζ22+2ζ38−2ζ2−2ζ582ζ2+2ζ5800000000000000000000000000000000000000
χ888-80-4−2−25−2+2542+252−2500-4400001+51−50000−1−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58000000002-21+5−1−51−5−1+500002ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ462ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000
χ898-80-4−2−25−2+2542+252−2500-4400001+51−50000−1−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58000000002-21+5−1−51−5−1+500002ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ342ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ5800000000000000000000000000000000000000
χ908-80-4−2+25−2−2542−252+25004-400001−51+50000−1+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ4600000000-22−1+51−5−1−51+50000−2ζ2−2ζ582ζ2+2ζ58−2ζ22−2ζ382ζ22+2ζ38−2ζ14−2ζ462ζ14+2ζ46−2ζ26−2ζ342ζ26+2ζ3400000000000000000000000000000000000000
χ918-80-4−2+25−2−2542−252+25004-400001−51+50000−1+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ4600000000-22−1+51−5−1−51+50000−2ζ22−2ζ382ζ22+2ζ38−2ζ2−2ζ582ζ2+2ζ58−2ζ26−2ζ342ζ26+2ζ34−2ζ14−2ζ462ζ14+2ζ4600000000000000000000000000000000000000
χ928-80-4−2+25−2−2542−252+2500-4400001−51+50000−1+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46000000002-21−5−1+51+5−1−500002ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ382ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ3400000000000000000000000000000000000000
χ938-80-4−2+25−2−2542−252+2500-4400001−51+50000−1+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46000000002-21−5−1+51+5−1−500002ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ582ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ4600000000000000000000000000000000000000

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