Finite Group Databasebeta

← Group #13089034

Character table — Group #13089034

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1122222222444444444466668888101010121212121212121212121212121515182020203030303636609011222222224444444444666688881010101212121212121212121212121215151820202030303036366090
order1233556610103615151515303030302466151530304121210101220203030303060606060442121212412121010122226610106610106630303030303030302466303030304121210101220203030303060606060442121212412121010122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-11111111111111-1-11-1-1-1-1-1-111-1-11111111111111111111111111111-1-1-11111111111111-1-11-1-1-1-1-1-111-1-1
χ3111111111111111111111-111111111111-1-1-11111-1-1-1-111-1111-111-1-1-1-1111111111111111111111-111111111111-1-1-11111-1-1-1-111-1111-111-1-1-1-1
χ4111111111111111111111-1111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111111111111111-1111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ511111111111111111111-11-1-11111111-1-1111-1-1-1-11111-1-1-11111-1-1-1-11-111111111111111111111-11-1-11111111-1-1111-1-1-1-11111-1-1-11111-1-1-1-11-1
χ611111111111111111111-11-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-111-1-1-1111111111111111111111-11-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-111-1-1-11
χ711111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-11
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1
χ92222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52000−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002000000−1−52−1+52002222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52000−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002000000−1−52−1+5200
χ102222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-222−1−52−1+52−1−52−1+52000−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200-20000001+521−52002222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-222−1−52−1+52−1−52−1+52000−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200-20000001+521−5200
χ112222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+52−1−52−1+520001+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-20000001+521−52002222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+52−1−52−1+520001+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-20000001+521−5200
χ122222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+520001+521−52-21+521−521+521+521−521−521+521+521−521−52002000000−1−52−1+52002222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+520001+521−52-21+521−521+521+521−521−521+521+521−521−52002000000−1−52−1+5200
χ132222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52000−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002000000−1+52−1−52002222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52000−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002000000−1+52−1−5200
χ142222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-222−1+52−1−52−1+52−1−52000−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200-20000001−521+52002222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-222−1+52−1−52−1+52−1−52000−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200-20000001−521+5200
χ152222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−52−1+52−1−520001−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-20000001−521+52002222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−52−1+52−1−520001−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-20000001−521+5200
χ162222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−520001−521+52-21−521+521−521−521+521+521−521−521+521+52002000000−1+52−1−52002222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−520001−521+52-21−521+521−521−521+521+521−521−521+521+52002000000−1+52−1−5200
χ17222-122-1222-1-122-1-1-1-12220-1-1-1-1-1-12-1-122000-1-1-1-100002202-1-10-1-10000222-122-1222-1-122-1-1-1-12220-1-1-1-1-1-12-1-122000-1-1-1-100002202-1-10-1-10000
χ18222-122-1222-1-122-1-1-1-12220-1-1-1-1-1-1-21122000-1-1-1-10000-2-20-2110110000222-122-1222-1-122-1-1-1-12220-1-1-1-1-1-1-21122000-1-1-1-10000-2-20-2110110000
χ19222-122-1222-1-122-1-1-1-122-2011-1-1-1-12-1-1-2-200011110000-2-202-1-10110000222-122-1222-1-122-1-1-1-122-2011-1-1-1-12-1-1-2-200011110000-2-202-1-10110000
χ20222-122-1222-1-122-1-1-1-122-2011-1-1-1-1-211-2-200011110000220-2110-1-10000222-122-1222-1-122-1-1-1-122-2011-1-1-1-1-211-2-200011110000220-2110-1-10000
χ2122-12222-122-1-1-1-12222-1-10200-1-1-1-122200-1220000-1-1-1-1000-1-1-120000-1022-12222-122-1-1-1-12222-1-10200-1-1-1-122200-1220000-1-1-1-1000-1-1-120000-10
χ2222-12222-122-1-1-1-12222-1-10200-1-1-1-1-2-2-200-1220000-1-1-1-1000111-200001022-12222-122-1-1-1-12222-1-10200-1-1-1-1-2-2-200-1220000-1-1-1-1000111-2000010
χ2322-12222-122-1-1-1-12222-1-10-200-1-1-1-1222001-2-200001111000-1-1-1-200001022-12222-122-1-1-1-12222-1-10-200-1-1-1-1222001-2-200001111000-1-1-1-2000010
χ2422-12222-122-1-1-1-12222-1-10-200-1-1-1-1-2-2-2001-2-20000111100011120000-1022-12222-122-1-1-1-12222-1-10-200-1-1-1-1-2-2-2001-2-20000111100011120000-10
χ252-22222-2-2-2-22-22222-2-2-2-2000022-2-200000000000000002i−2i000002i−2i00002-22222-2-2-2-22-22222-2-2-2-2000022-2-200000000000000002i−2i000002i−2i0000
χ262-22222-2-2-2-22-22222-2-2-2-2000022-2-20000000000000000−2i2i00000−2i2i00002-22222-2-2-2-22-22222-2-2-2-2000022-2-20000000000000000−2i2i00000−2i2i0000
χ272-22-1221-2-2-2-1122-1-111-2-200−i3i3-1-11103−300000−i3i3−i3i300002i−2i003−30−ii00002-22-1221-2-2-2-1122-1-111-2-200−i3i3-1-11103−300000−i3i3−i3i300002i−2i003−30−ii0000
χ282-22-1221-2-2-2-1122-1-111-2-200−i3i3-1-1110−3300000−i3i3−i3i30000−2i2i00−330i−i00002-22-1221-2-2-2-1122-1-111-2-200−i3i3-1-1110−3300000−i3i3−i3i30000−2i2i00−330i−i0000
χ292-22-1221-2-2-2-1122-1-111-2-200i3−i3-1-11103−300000i3−i3i3−i30000−2i2i003−30i−i00002-22-1221-2-2-2-1122-1-111-2-200i3−i3-1-11103−300000i3−i3i3−i30000−2i2i003−30i−i0000
χ302-22-1221-2-2-2-1122-1-111-2-200i3−i3-1-1110−3300000i3−i3i3−i300002i−2i00−330−ii00002-22-1221-2-2-2-1122-1-111-2-200i3−i3-1-1110−3300000i3−i3i3−i300002i−2i00−330−ii0000
χ31444-2−1−5−1+5-24−1−5−1+5-2-2−1−5−1+51+521−521+521−52−1−5−1+540-2-21+521−521+521−52000−1−5−1+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+540-2-21+521−521+521−52000−1−5−1+50001+521+521−521−5200000000000000000
χ32444-2−1−5−1+5-24−1−5−1+5-2-2−1−5−1+51+521−521+521−52−1−5−1+5-40221+521−521+521−520001+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+5-40221+521−521+521−520001+51−5000−1−52−1−52−1+52−1+5200000000000000000
χ33444-2−1+5−1−5-24−1+5−1−5-2-2−1+5−1−51−521+521−521+52−1+5−1−540-2-21−521+521−521+52000−1+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+5−1−540-2-21−521+521−521+52000−1+5−1−50001−521−521+521+5200000000000000000
χ34444-2−1+5−1−5-24−1+5−1−5-2-2−1+5−1−51−521+521−521+52−1+5−1−5-40221−521+521−521+520001−51+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+5−1−5-40221−521+521−521+520001−51+5000−1+52−1+52−1−52−1−5200000000000000000
χ3544-24−1−5−1+54-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−5204001+521−521+521−5200000-2−1−5−1+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+521−5204001+521−521+521−5200000-2−1−5−1+500001+521+521−521−520000000000000
χ3644-24−1−5−1+54-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−520-4001+521−521+521−520000021+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+521−520-4001+521−521+521−520000021+51−50000−1−52−1−52−1+52−1+520000000000000
χ3744-24−1+5−1−54-2−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+5204001−521+521−521+5200000-2−1+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+5204001−521+521−521+5200000-2−1+5−1−500001−521−521+521+520000000000000
χ3844-24−1+5−1−54-2−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+520-4001−521+521−521+520000021−51+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+520-4001−521+521−521+520000021−51+50000−1+52−1+52−1−52−1−520000000000000
χ3944-2-244-2-24411-2-2-2-2-2-2-2-2000011114-2-20000000000000000-211000000044-2-244-2-24411-2-2-2-2-2-2-2-2000011114-2-20000000000000000-2110000000
χ4044-2-244-2-24411-2-2-2-2-2-2-2-200001111-42200000000000000002-1-1000000044-2-244-2-24411-2-2-2-2-2-2-2-200001111-42200000000000000002-1-10000000
χ414-444−1−5−1+5-4-41+51−54-4−1−5−1+5−1−5−1+51+51−51+51−50000−1−5−1+51+51−5000000000000000000000000000004-444−1−5−1+5-4-41+51−54-4−1−5−1+5−1−5−1+51+51−51+51−50000−1−5−1+51+51−500000000000000000000000000000
χ424-444−1+5−1−5-4-41−51+54-4−1+5−1−5−1+5−1−51−51+51−51+50000−1+5−1−51−51+5000000000000000000000000000004-444−1+5−1−5-4-41−51+54-4−1+5−1−5−1+5−1−51−51+51−51+50000−1+5−1−51−51+500000000000000000000000000000
χ434-44-2−1−5−1+52-41+51−5-22−1−5−1+51+521−52−1−52−1+521+51−500−2i32i31+521−52−1−52−1+5200000000ζ14+ζ26−ζ34−ζ46−ζ14−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+51−500−2i32i31+521−52−1−52−1+5200000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ5800000000000000000
χ444-44-2−1−5−1+52-41+51−5-22−1−5−1+51+521−52−1−52−1+521+51−5002i3−2i31+521−52−1−52−1+5200000000−ζ14−ζ26+ζ34+ζ46ζ14+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+51−5002i3−2i31+521−52−1−52−1+5200000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ5800000000000000000
χ454-44-2−1+5−1−52-41−51+5-22−1+5−1−51−521+52−1+52−1−521−51+500−2i32i31−521+52−1+52−1−5200000000ζ2−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+500−2i32i31−521+52−1+52−1−5200000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600000000000000000
χ464-44-2−1+5−1−52-41−51+5-22−1+5−1−51−521+52−1+52−1−521−51+5002i3−2i31−521+52−1+52−1−5200000000−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+5002i3−2i31−521+52−1+52−1−5200000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600000000000000000
χ474-4-2444-42-4-4-22-2-244-4-4220000-2-222000000000000000000000000000004-4-2444-42-4-4-22-2-244-4-4220000-2-22200000000000000000000000000000
χ484-4-24−1−5−1+5-421+51−5-221+521−52−1−5−1+51+51−5−1−52−1+5200001+521−52−1−52−1+52000000000000ζ11+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+5200001+521−52−1−52−1+52000000000000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000
χ494-4-24−1−5−1+5-421+51−5-221+521−52−1−5−1+51+51−5−1−52−1+5200001+521−52−1−52−1+52000000000000−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+5200001+521−52−1−52−1+52000000000000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000
χ504-4-24−1+5−1−5-421−51+5-221−521+52−1+5−1−51−51+5−1+52−1−5200001−521+52−1+52−1−52000000000000−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+52−1−5200001−521+52−1+52−1−52000000000000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000
χ514-4-24−1+5−1−5-421−51+5-221−521+52−1+5−1−51−51+5−1+52−1−5200001−521+52−1+52−1−52000000000000ζ7+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+52−1−5200001−521+52−1+52−1−52000000000000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000
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χ1034-44-2−1+5−1−52-41−51+5-22−1+5−1−51−521+52−1+52−1−521−51+5002i3−2i31−521+52−1+52−1−5200000000−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+5−1−500−2i32i3−1+52−1−521−521+5200000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600000000000000000
χ1044-4-2444-42-4-4-22-2-244-4-4220000-2-22200000000000000000000000000000-442-4-4-44-2442-222-4-444-2-2000022-2-200000000000000000000000000000
χ1054-4-24−1−5−1+5-421+51−5-221+521−52−1−5−1+51+51−5−1−52−1+5200001+521−52−1−52−1+52000000000000ζ11+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+521−520000−1−52−1+521+521−52000000000000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000
χ1064-4-24−1−5−1+5-421+51−5-221+521−52−1−5−1+51+51−5−1−52−1+5200001+521−52−1−52−1+52000000000000−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+521−520000−1−52−1+521+521−52000000000000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000
χ1074-4-24−1+5−1−5-421−51+5-221−521+52−1+5−1−51−51+5−1+52−1−5200001−521+52−1+52−1−52000000000000−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+520000−1+52−1−521−521+52000000000000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000
χ1084-4-24−1+5−1−5-421−51+5-221−521+52−1+5−1−51−51+5−1+52−1−5200001−521+52−1+52−1−52000000000000ζ7+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+520000−1+52−1−521−521+52000000000000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000
χ1094-4-2-24422-4-41-1-2-2-2-22222000011-1-1023−2300000000000000000−330000000-4422-4-4-2-244-112222-2-2-2-20000-1-1110−2323000000000000000003−30000000
χ1104-4-2-24422-4-41-1-2-2-2-22222000011-1-10−2323000000000000000003−30000000-4422-4-4-2-244-112222-2-2-2-20000-1-111023−2300000000000000000−330000000
χ11188-4-4−2−25−2+25-4-4−2−25−2+25221+51−51+51−51+51−51+51−50000−1−52−1+52−1−52−1+5200000000000000000000000000000-8-8442+252−25442+252−25-2-2−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500001+521−521+521−5200000000000000000000000000000
χ11288-4-4−2+25−2−25-4-4−2+25−2−25221−51+51−51+51−51+51−51+50000−1+52−1−52−1+52−1−5200000000000000000000000000000-8-8442−252+25442−252+25-2-2−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500001−521+521−521+5200000000000000000000000000000
χ1138-8-4-4−2−25−2+25442+252−252-21+51−51+51−5−1−5−1+5−1−5−1+50000−1−52−1+521+521−5200000000000000000000000000000-88442+252−25-4-4−2−25−2+25-22−1−5−1+5−1−5−1+51+51−51+51−500001+521−52−1−52−1+5200000000000000000000000000000
χ1148-8-4-4−2+25−2−25442−252+252-21−51+51−51+5−1+5−1−5−1+5−1−50000−1+52−1−521−521+5200000000000000000000000000000-88442−252+25-4-4−2+25−2−25-22−1+5−1−5−1+5−1−51−51+51−51+500001−521+52−1+52−1−5200000000000000000000000000000

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