Finite Group Databasebeta

← Group #13089039

Character table — Group #13089039

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222222224444444444668888101212121212121212121212121212182020202030303636454560601122222222444444444466888810121212121212121212121212121218202020203030363645456060
order1233556610103615151515303030302415153030461010122020303030306060606021212121224101044612226610106610106630303030303030302430303030461010122020303030306060606021212121224101044612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1111111111111111-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1111111111111111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111-111111111-1-1-11111-1-1-1-1-111111-1-1-1-1-11-1111111111111111111111-111111111-1-1-11111-1-1-1-1-111111-1-1-1-1-11-1
χ4111111111111111111111-11111-1111-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-11111111111111111111111-11111-1111-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-11
χ511111111111111111111-1111111-1-1-1111-1-1-1-11111-11111-11-1-1-1-1-1111111111111111111111-1111111-1-1-1111-1-1-1-11111-11111-11-1-1-1-1-11
χ611111111111111111111-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-11-1-1-1111-111111111111111111111-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-11-1-1-1111-1
χ711111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ92222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5202−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522000000−1−52−1+5200002222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5202−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522000000−1−52−1+520000
χ102222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2−1−52−1+52−1−52−1+5202−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52-20000001+521−5200002222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2−1−52−1+52−1−52−1+5202−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52-20000001+521−520000
χ112222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22−1−52−1+52−1−52−1+520-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-20000001+521−5200002222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22−1−52−1+52−1−52−1+520-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-20000001+521−520000
χ122222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+520-21+521−52-21+521−521+521+521−521−521+521+521−521−522000000−1−52−1+5200002222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+520-21+521−52-21+521−521+521+521−521−521+521+521−521−522000000−1−52−1+520000
χ132222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5202−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522000000−1+52−1−5200002222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5202−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522000000−1+52−1−520000
χ142222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2−1+52−1−52−1+52−1−5202−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52-20000001−521+5200002222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2−1+52−1−52−1+52−1−5202−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52-20000001−521+520000
χ152222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22−1+52−1−52−1+52−1−520-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-20000001−521+5200002222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22−1+52−1−52−1+52−1−520-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-20000001−521+520000
χ162222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−520-21−521+52-21−521+521−521−521+521+521−521−521+521+522000000−1+52−1−5200002222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−520-21−521+52-21−521+521−521−521+521+521−521−521+521+522000000−1+52−1−520000
χ17222-122-1222-1-122-1-1-1-12220-1-1-1-12-122000-1-1-1-100000-12-1-1200000-10222-122-1222-1-122-1-1-1-12220-1-1-1-12-122000-1-1-1-100000-12-1-1200000-10
χ18222-122-1222-1-122-1-1-1-12220-1-1-1-1-2-122000-1-1-1-1000001-211-20000010222-122-1222-1-122-1-1-1-12220-1-1-1-1-2-122000-1-1-1-1000001-211-20000010
χ19222-122-1222-1-122-1-1-1-122-20-1-1-1-121-2-2000111100000-12-1-1-20000010222-122-1222-1-122-1-1-1-122-20-1-1-1-121-2-2000111100000-12-1-1-20000010
χ20222-122-1222-1-122-1-1-1-122-20-1-1-1-1-21-2-20001111000001-211200000-10222-122-1222-1-122-1-1-1-122-20-1-1-1-1-21-2-20001111000001-211200000-10
χ2122-12222-122-1-1-1-12222-1-102-1-1-1-12000-1220000-1-1-1-102-1-1-10200000-122-12222-122-1-1-1-12222-1-102-1-1-1-12000-1220000-1-1-1-102-1-1-10200000-1
χ2222-12222-122-1-1-1-12222-1-102-1-1-1-1-2000-1220000-1-1-1-10-21110-200000122-12222-122-1-1-1-12222-1-102-1-1-1-1-2000-1220000-1-1-1-10-21110-2000001
χ2322-12222-122-1-1-1-12222-1-10-2-1-1-1-120001-2-20000111102-1-1-10-200000122-12222-122-1-1-1-12222-1-10-2-1-1-1-120001-2-20000111102-1-1-10-2000001
χ2422-12222-122-1-1-1-12222-1-10-2-1-1-1-1-20001-2-2000011110-21110200000-122-12222-122-1-1-1-12222-1-10-2-1-1-1-1-20001-2-2000011110-21110200000-1
χ252-22222-2-2-2-22-22222-2-2-2-20022-2-20000000000000000000000002i−2i002-22222-2-2-2-22-22222-2-2-2-20022-2-20000000000000000000000002i−2i00
χ262-22222-2-2-2-22-22222-2-2-2-20022-2-2000000000000000000000000−2i2i002-22222-2-2-2-22-22222-2-2-2-20022-2-2000000000000000000000000−2i2i00
χ27444-2−1−5−1+5-24−1−5−1+5-2-2−1−5−1+51+521−521+521−52−1−5−1+5401+521−521+521−520-2−1−5−1+50001+521+521−521−5200000000000000000444-2−1−5−1+5-24−1−5−1+5-2-2−1−5−1+51+521−521+521−52−1−5−1+5401+521−521+521−520-2−1−5−1+50001+521+521−521−5200000000000000000
χ28444-2−1−5−1+5-24−1−5−1+5-2-2−1−5−1+51+521−521+521−52−1−5−1+5-401+521−521+521−52021+51−5000−1−52−1−52−1+52−1+5200000000000000000444-2−1−5−1+5-24−1−5−1+5-2-2−1−5−1+51+521−521+521−52−1−5−1+5-401+521−521+521−52021+51−5000−1−52−1−52−1+52−1+5200000000000000000
χ29444-2−1+5−1−5-24−1+5−1−5-2-2−1+5−1−51−521+521−521+52−1+5−1−5401−521+521−521+520-2−1+5−1−50001−521−521+521+5200000000000000000444-2−1+5−1−5-24−1+5−1−5-2-2−1+5−1−51−521+521−521+52−1+5−1−5401−521+521−521+520-2−1+5−1−50001−521−521+521+5200000000000000000
χ30444-2−1+5−1−5-24−1+5−1−5-2-2−1+5−1−51−521+521−521+52−1+5−1−5-401−521+521−521+52021−51+5000−1+52−1+52−1−52−1−5200000000000000000444-2−1+5−1−5-24−1+5−1−5-2-2−1+5−1−51−521+521−521+52−1+5−1−5-401−521+521−521+52021−51+5000−1+52−1+52−1−52−1−5200000000000000000
χ3144-24−1−5−1+54-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−52041+521−521+521−520000-2−1−5−1+500001+521+521−521−52000000000000044-24−1−5−1+54-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−52041+521−521+521−520000-2−1−5−1+500001+521+521−521−520000000000000
χ3244-24−1−5−1+54-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−520-41+521−521+521−52000021+51−50000−1−52−1−52−1+52−1+52000000000000044-24−1−5−1+54-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−520-41+521−521+521−52000021+51−50000−1−52−1−52−1+52−1+520000000000000
χ3344-24−1+5−1−54-2−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+52041−521+521−521+520000-2−1+5−1−500001−521−521+521+52000000000000044-24−1+5−1−54-2−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+52041−521+521−521+520000-2−1+5−1−500001−521−521+521+520000000000000
χ3444-24−1+5−1−54-2−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+520-41−521+521−521+52000021−51+50000−1+52−1+52−1−52−1−52000000000000044-24−1+5−1−54-2−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+520-41−521+521−521+52000021−51+50000−1+52−1+52−1−52−1−520000000000000
χ3544-2-244-2-24411-2-2-2-2-2-2-2-20011114000000000000000-2-2110000000044-2-244-2-24411-2-2-2-2-2-2-2-20011114000000000000000-2-21100000000
χ3644-2-244-2-24411-2-2-2-2-2-2-2-2001111-400000000000000022-1-10000000044-2-244-2-24411-2-2-2-2-2-2-2-2001111-400000000000000022-1-100000000
χ374-444−1−5−1+5-4-41+51−54-4−1−5−1+5−1−5−1+51+51−51+51−500−1−5−1+51+51−500000000000000000000000000004-444−1−5−1+5-4-41+51−54-4−1−5−1+5−1−5−1+51+51−51+51−500−1−5−1+51+51−50000000000000000000000000000
χ384-444−1+5−1−5-4-41−51+54-4−1+5−1−5−1+5−1−51−51+51−51+500−1+5−1−51−51+500000000000000000000000000004-444−1+5−1−5-4-41−51+54-4−1+5−1−5−1+5−1−51−51+51−51+500−1+5−1−51−51+50000000000000000000000000000
χ394-44-2442-4-4-4-2244-2-222-4-400-2-22200000000000000000000000000004-44-2442-4-4-4-2244-2-222-4-400-2-2220000000000000000000000000000
χ404-44-2−1−5−1+52-41+51−5-22−1−5−1+51+521−52−1−52−1+521+51−5001+521−52−1−52−1+520000000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000004-44-2−1−5−1+52-41+51−5-22−1−5−1+51+521−52−1−52−1+521+51−5001+521−52−1−52−1+520000000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ5800000000000000000
χ414-44-2−1−5−1+52-41+51−5-22−1−5−1+51+521−52−1−52−1+521+51−5001+521−52−1−52−1+520000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000004-44-2−1−5−1+52-41+51−5-22−1−5−1+51+521−52−1−52−1+521+51−5001+521−52−1−52−1+520000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ5800000000000000000
χ424-44-2−1+5−1−52-41−51+5-22−1+5−1−51−521+52−1+52−1−521−51+5001−521+52−1+52−1−520000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000004-44-2−1+5−1−52-41−51+5-22−1+5−1−51−521+52−1+52−1−521−51+5001−521+52−1+52−1−520000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ4600000000000000000
χ434-44-2−1+5−1−52-41−51+5-22−1+5−1−51−521+52−1+52−1−521−51+5001−521+52−1+52−1−520000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000004-44-2−1+5−1−52-41−51+5-22−1+5−1−51−521+52−1+52−1−521−51+5001−521+52−1+52−1−520000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ4600000000000000000
χ444-4-2444-42-4-4-22-2-244-4-42200-2-22200000000000000000000000000004-4-2444-42-4-4-22-2-244-4-42200-2-2220000000000000000000000000000
χ454-4-24−1−5−1+5-421+51−5-221+521−52−1−5−1+51+51−5−1−52−1+52001+521−52−1−52−1+5200000000000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000004-4-24−1−5−1+5-421+51−5-221+521−52−1−5−1+51+51−5−1−52−1+52001+521−52−1−52−1+5200000000000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000
χ464-4-24−1−5−1+5-421+51−5-221+521−52−1−5−1+51+51−5−1−52−1+52001+521−52−1−52−1+5200000000000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000004-4-24−1−5−1+5-421+51−5-221+521−52−1−5−1+51+51−5−1−52−1+52001+521−52−1−52−1+5200000000000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000
χ474-4-24−1+5−1−5-421−51+5-221−521+52−1+5−1−51−51+5−1+52−1−52001−521+52−1+52−1−5200000000000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000004-4-24−1+5−1−5-421−51+5-221−521+52−1+5−1−51−51+5−1+52−1−52001−521+52−1+52−1−5200000000000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000
χ484-4-24−1+5−1−5-421−51+5-221−521+52−1+5−1−51−51+5−1+52−1−52001−521+52−1+52−1−5200000000000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000004-4-24−1+5−1−5-421−51+5-221−521+52−1+5−1−51−51+5−1+52−1−52001−521+52−1+52−1−5200000000000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000
χ494-4-2-24422-4-41-1-2-2-2-222220011-1-10000000000000000003i−3i000000004-4-2-24422-4-41-1-2-2-2-222220011-1-10000000000000000003i−3i00000000
χ504-4-2-24422-4-41-1-2-2-2-222220011-1-1000000000000000000−3i3i000000004-4-2-24422-4-41-1-2-2-2-222220011-1-1000000000000000000−3i3i00000000
χ5188-4-4−2−25−2+25-4-4−2−25−2+25221+51−51+51−51+51−51+51−500−1−52−1+52−1−52−1+52000000000000000000000000000088-4-4−2−25−2+25-4-4−2−25−2+25221+51−51+51−51+51−51+51−500−1−52−1+52−1−52−1+520000000000000000000000000000
χ5288-4-4−2+25−2−25-4-4−2+25−2−25221−51+51−51+51−51+51−51+500−1+52−1−52−1+52−1−52000000000000000000000000000088-4-4−2+25−2−25-4-4−2+25−2−25221−51+51−51+51−51+51−51+500−1+52−1−52−1+52−1−520000000000000000000000000000
χ538-8-4-4−2−25−2+25442+252−252-21+51−51+51−5−1−5−1+5−1−5−1+500−1−52−1+521+521−5200000000000000000000000000008-8-4-4−2−25−2+25442+252−252-21+51−51+51−5−1−5−1+5−1−5−1+500−1−52−1+521+521−520000000000000000000000000000
χ548-8-4-4−2+25−2−25442−252+252-21−51+51−51+5−1+5−1−5−1+5−1−500−1+52−1−521−521+5200000000000000000000000000008-8-4-4−2+25−2−25442−252+252-21−51+51−51+5−1+5−1−5−1+5−1−500−1+52−1−521−521+520000000000000000000000000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5611111111111111111111111111-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ57111111111111111111111-111111111-1-1-11111-1-1-1-1-111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-111111-11
χ58111111111111111111111-11111-1111-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1111-1-1-1-11111111111-111-1-11-1
χ5911111111111111111111-1111111-1-1-1111-1-1-1-11111-11111-11-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-11-1-1-1-11-111111-1
χ6011111111111111111111-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-11111-1-1-1-111111-1111-1-1-11
χ6111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1-1-1-111-1-1-1-111
χ6211111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111-11111-1-1-1-111-1-1
χ632222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5202−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522000000−1−52−1+520000-2-2-2-21+521−52-2-21+521−52-2-21+521−521+521−521+521−521+521−52-2-21+521−521+521−520-21+521−52-21+521−521+521+521−521−521+521+521−521−52-20000001+521−520000
χ642222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2−1−52−1+52−1−52−1+5202−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52-20000001+521−520000-2-2-2-21+521−52-2-21+521−52-2-21+521−521+521−521+521−521+521−52-221+521−521+521−520-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522000000−1−52−1+520000
χ652222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22−1−52−1+52−1−52−1+520-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-20000001+521−520000-2-2-2-21+521−52-2-21+521−52-2-21+521−521+521−521+521−521+521−522-21+521−521+521−5202−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−522000000−1−52−1+520000
χ662222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+520-21+521−52-21+521−521+521+521−521−521+521+521−521−522000000−1−52−1+520000-2-2-2-21+521−52-2-21+521−52-2-21+521−521+521−521+521−521+521−52221+521−521+521−5202−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-20000001+521−520000
χ672222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5202−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522000000−1+52−1−520000-2-2-2-21−521+52-2-21−521+52-2-21−521+521−521+521−521+521−521+52-2-21−521+521−521+520-21−521+52-21−521+521−521−521+521+521−521−521+521+52-20000001−521+520000
χ682222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2−1+52−1−52−1+52−1−5202−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52-20000001−521+520000-2-2-2-21−521+52-2-21−521+52-2-21−521+521−521+521−521+521−521+52-221−521+521−521+520-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522000000−1+52−1−520000
χ692222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22−1+52−1−52−1+52−1−520-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-20000001−521+520000-2-2-2-21−521+52-2-21−521+52-2-21−521+521−521+521−521+521−521+522-21−521+521−521+5202−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+522000000−1+52−1−520000
χ702222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−520-21−521+52-21−521+521−521−521+521+521−521−521+521+522000000−1+52−1−520000-2-2-2-21−521+52-2-21−521+52-2-21−521+521−521+521−521+521−521+52221−521+521−521+5202−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-20000001−521+520000
χ71222-122-1222-1-122-1-1-1-12220-1-1-1-12-122000-1-1-1-100000-12-1-1200000-10-2-2-21-2-21-2-2-211-2-21111-2-2-201111-21-2-20001111000001-211-20000010
χ72222-122-1222-1-122-1-1-1-12220-1-1-1-1-2-122000-1-1-1-1000001-211-20000010-2-2-21-2-21-2-2-211-2-21111-2-2-20111121-2-2000111100000-12-1-1200000-10
χ73222-122-1222-1-122-1-1-1-122-20-1-1-1-121-2-2000111100000-12-1-1-20000010-2-2-21-2-21-2-2-211-2-21111-2-2201111-2-122000-1-1-1-1000001-211200000-10
χ74222-122-1222-1-122-1-1-1-122-20-1-1-1-1-21-2-20001111000001-211200000-10-2-2-21-2-21-2-2-211-2-21111-2-22011112-122000-1-1-1-100000-12-1-1-20000010
χ7522-12222-122-1-1-1-12222-1-102-1-1-1-12000-1220000-1-1-1-102-1-1-10200000-1-2-21-2-2-2-21-2-21111-2-2-2-2110-21111-20001-2-2000011110-21110-2000001
χ7622-12222-122-1-1-1-12222-1-102-1-1-1-1-2000-1220000-1-1-1-10-21110-2000001-2-21-2-2-2-21-2-21111-2-2-2-2110-2111120001-2-20000111102-1-1-10200000-1
χ7722-12222-122-1-1-1-12222-1-10-2-1-1-1-120001-2-20000111102-1-1-10-2000001-2-21-2-2-2-21-2-21111-2-2-2-211021111-2000-1220000-1-1-1-10-21110200000-1
χ7822-12222-122-1-1-1-12222-1-10-2-1-1-1-1-20001-2-2000011110-21110200000-1-2-21-2-2-2-21-2-21111-2-2-2-2110211112000-1220000-1-1-1-102-1-1-10-2000001
χ792-22222-2-2-2-22-22222-2-2-2-20022-2-20000000000000000000000002i−2i00-22-2-2-2-22222-22-2-2-2-2222200-2-222000000000000000000000000−2i2i00
χ802-22222-2-2-2-22-22222-2-2-2-20022-2-2000000000000000000000000−2i2i00-22-2-2-2-22222-22-2-2-2-2222200-2-2220000000000000000000000002i−2i00
χ81444-2−1−5−1+5-24−1−5−1+5-2-2−1−5−1+51+521−521+521−52−1−5−1+5401+521−521+521−520-2−1−5−1+50001+521+521−521−5200000000000000000-4-4-421+51−52-41+51−5221+51−5−1−52−1+52−1−52−1+521+51−5-40−1−52−1+52−1−52−1+52021+51−5000−1−52−1−52−1+52−1+5200000000000000000
χ82444-2−1−5−1+5-24−1−5−1+5-2-2−1−5−1+51+521−521+521−52−1−5−1+5-401+521−521+521−52021+51−5000−1−52−1−52−1+52−1+5200000000000000000-4-4-421+51−52-41+51−5221+51−5−1−52−1+52−1−52−1+521+51−540−1−52−1+52−1−52−1+520-2−1−5−1+50001+521+521−521−5200000000000000000
χ83444-2−1+5−1−5-24−1+5−1−5-2-2−1+5−1−51−521+521−521+52−1+5−1−5401−521+521−521+520-2−1+5−1−50001−521−521+521+5200000000000000000-4-4-421−51+52-41−51+5221−51+5−1+52−1−52−1+52−1−521−51+5-40−1+52−1−52−1+52−1−52021−51+5000−1+52−1+52−1−52−1−5200000000000000000
χ84444-2−1+5−1−5-24−1+5−1−5-2-2−1+5−1−51−521+521−521+52−1+5−1−5-401−521+521−521+52021−51+5000−1+52−1+52−1−52−1−5200000000000000000-4-4-421−51+52-41−51+5221−51+5−1+52−1−52−1+52−1−521−51+540−1+52−1−52−1+52−1−520-2−1+5−1−50001−521−521+521+5200000000000000000
χ8544-24−1−5−1+54-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−52041+521−521+521−520000-2−1−5−1+500001+521+521−521−520000000000000-4-42-41+51−5-421+51−522−1−52−1+521+51−51+51−5−1−52−1+520-4−1−52−1+52−1−52−1+52000021+51−50000−1−52−1−52−1+52−1+520000000000000
χ8644-24−1−5−1+54-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−520-41+521−521+521−52000021+51−50000−1−52−1−52−1+52−1+520000000000000-4-42-41+51−5-421+51−522−1−52−1+521+51−51+51−5−1−52−1+5204−1−52−1+52−1−52−1+520000-2−1−5−1+500001+521+521−521−520000000000000
χ8744-24−1+5−1−54-2−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+52041−521+521−521+520000-2−1+5−1−500001−521−521+521+520000000000000-4-42-41−51+5-421−51+522−1+52−1−521−51+51−51+5−1+52−1−520-4−1+52−1−52−1+52−1−52000021−51+50000−1+52−1+52−1−52−1−520000000000000
χ8844-24−1+5−1−54-2−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+520-41−521+521−521+52000021−51+50000−1+52−1+52−1−52−1−520000000000000-4-42-41−51+5-421−51+522−1+52−1−521−51+51−51+5−1+52−1−5204−1+52−1−52−1+52−1−520000-2−1+5−1−500001−521−521+521+520000000000000
χ8944-2-244-2-24411-2-2-2-2-2-2-2-20011114000000000000000-2-21100000000-4-422-4-422-4-4-1-12222222200-1-1-1-1-400000000000000022-1-100000000
χ9044-2-244-2-24411-2-2-2-2-2-2-2-2001111-400000000000000022-1-100000000-4-422-4-422-4-4-1-12222222200-1-1-1-14000000000000000-2-21100000000
χ914-444−1−5−1+5-4-41+51−54-4−1−5−1+5−1−5−1+51+51−51+51−500−1−5−1+51+51−50000000000000000000000000000-44-4-41+51−544−1−5−1+5-441+51−51+51−5−1−5−1+5−1−5−1+5001+51−5−1−5−1+50000000000000000000000000000
χ924-444−1+5−1−5-4-41−51+54-4−1+5−1−5−1+5−1−51−51+51−51+500−1+5−1−51−51+50000000000000000000000000000-44-4-41−51+544−1+5−1−5-441−51+51−51+5−1+5−1−5−1+5−1−5001−51+5−1+5−1−50000000000000000000000000000
χ934-44-2442-4-4-4-2244-2-222-4-400-2-2220000000000000000000000000000-44-42-4-4-24442-2-4-422-2-2440022-2-20000000000000000000000000000
χ944-44-2−1−5−1+52-41+51−5-22−1−5−1+51+521−52−1−52−1+521+51−5001+521−52−1−52−1+520000000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ5800000000000000000-44-421+51−5-24−1−5−1+52-21+51−5−1−52−1+521+521−52−1−5−1+500−1−52−1+521+521−520000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ5800000000000000000
χ954-44-2−1−5−1+52-41+51−5-22−1−5−1+51+521−52−1−52−1+521+51−5001+521−52−1−52−1+520000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ5800000000000000000-44-421+51−5-24−1−5−1+52-21+51−5−1−52−1+521+521−52−1−5−1+500−1−52−1+521+521−520000000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ5800000000000000000
χ964-44-2−1+5−1−52-41−51+5-22−1+5−1−51−521+52−1+52−1−521−51+5001−521+52−1+52−1−520000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ4600000000000000000-44-421−51+5-24−1+5−1−52-21−51+5−1+52−1−521−521+52−1+5−1−500−1+52−1−521−521+520000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ4600000000000000000
χ974-44-2−1+5−1−52-41−51+5-22−1+5−1−51−521+52−1+52−1−521−51+5001−521+52−1+52−1−520000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ4600000000000000000-44-421−51+5-24−1+5−1−52-21−51+5−1+52−1−521−521+52−1+5−1−500−1+52−1−521−521+520000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ4600000000000000000
χ984-4-2444-42-4-4-22-2-244-4-42200-2-2220000000000000000000000000000-442-4-4-44-2442-222-4-444-2-20022-2-20000000000000000000000000000
χ994-4-24−1−5−1+5-421+51−5-221+521−52−1−5−1+51+51−5−1−52−1+52001+521−52−1−52−1+5200000000000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000-442-41+51−54-2−1−5−1+52-2−1−52−1+521+51−5−1−5−1+51+521−5200−1−52−1+521+521−5200000000000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000
χ1004-4-24−1−5−1+5-421+51−5-221+521−52−1−5−1+51+51−5−1−52−1+52001+521−52−1−52−1+5200000000000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000-442-41+51−54-2−1−5−1+52-2−1−52−1+521+51−5−1−5−1+51+521−5200−1−52−1+521+521−5200000000000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000
χ1014-4-24−1+5−1−5-421−51+5-221−521+52−1+5−1−51−51+5−1+52−1−52001−521+52−1+52−1−5200000000000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000-442-41−51+54-2−1+5−1−52-2−1+52−1−521−51+5−1+5−1−51−521+5200−1+52−1−521−521+5200000000000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000
χ1024-4-24−1+5−1−5-421−51+5-221−521+52−1+5−1−51−51+5−1+52−1−52001−521+52−1+52−1−5200000000000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000-442-41−51+54-2−1+5−1−52-2−1+52−1−521−51+5−1+5−1−51−521+5200−1+52−1−521−521+5200000000000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000
χ1034-4-2-24422-4-41-1-2-2-2-222220011-1-10000000000000000003i−3i00000000-4422-4-4-2-244-112222-2-2-2-200-1-111000000000000000000−3i3i00000000
χ1044-4-2-24422-4-41-1-2-2-2-222220011-1-1000000000000000000−3i3i00000000-4422-4-4-2-244-112222-2-2-2-200-1-1110000000000000000003i−3i00000000
χ10588-4-4−2−25−2+25-4-4−2−25−2+25221+51−51+51−51+51−51+51−500−1−52−1+52−1−52−1+520000000000000000000000000000-8-8442+252−25442+252−25-2-2−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5001+521−521+521−520000000000000000000000000000
χ10688-4-4−2+25−2−25-4-4−2+25−2−25221−51+51−51+51−51+51−51+500−1+52−1−52−1+52−1−520000000000000000000000000000-8-8442−252+25442−252+25-2-2−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5001−521+521−521+520000000000000000000000000000
χ1078-8-4-4−2−25−2+25442+252−252-21+51−51+51−5−1−5−1+5−1−5−1+500−1−52−1+521+521−520000000000000000000000000000-88442+252−25-4-4−2−25−2+25-22−1−5−1+5−1−5−1+51+51−51+51−5001+521−52−1−52−1+520000000000000000000000000000
χ1088-8-4-4−2+25−2−25442−252+252-21−51+51−51+5−1+5−1−5−1+5−1−500−1+52−1−521−521+520000000000000000000000000000-88442−252+25-4-4−2+25−2−25-22−1+5−1−5−1+5−1−51−51+51−51+5001−521+52−1+52−1−520000000000000000000000000000

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