Finite Group Databasebeta

← Group #13088982

Character table — Group #13088982

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222222224444444444556610101010101212121230302244444444488888888881010121220202020202424242460603366666666612121212121212121212151518183030303030363636369090
order122355666101010101515303030303030442441212121210102020243663151566630303030151530303030303012126121212121212303060606122226101066610101010303030303030303044244121212121010202024
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111111-1-111111-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1-1-1-11111-1-1111111111111111111111-1-111-1-1-1-1-11111-1-1111111111111111111111-1-111-1-1-1-1-11111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1111-1-1111-1-11111-1-1-1-1111-1-111-1-111-1-1-1111-1111-1-1111-1-11111-1-1-1-1111-1-111-1-111-1-1-1111-1111-1-1111-1-11111-1-1-1-1111-1-111-1-111-1-1-11
χ611-1111-1-1111-1-11111-1-1-1-111-11-111-1-1-1-1111-111-1111-1-1111-1-11111-1-1-1-111-11-111-1-1-1-1111-111-1111-1-1111-1-11111-1-1-1-111-11-111-1-1-1-1111-1
χ711-1111-1-1111-1-11111-1-1-1-1-1-11-11-1-11111-1-11-111-1111-1-1111-1-11111-1-1-1-1-1-11-11-1-11111-1-11-111-1111-1-1111-1-11111-1-1-1-1-1-11-11-1-11111-1-11-1
χ811-1111-1-1111-1-11111-1-1-1-1-1-1-111-1-111-1-111-1111-1111-1-1111-1-11111-1-1-1-1-1-1-111-1-111-1-111-1111-1111-1-1111-1-11111-1-1-1-1-1-1-111-1-111-1-111-11
χ92222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002200000−1−52−1+52−1−52−1+52002222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002200000−1−52−1+52−1−52−1+52002222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002200000−1−52−1+52−1−52−1+5200
χ102222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2000001+521−521+521−52002222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2000001+521−521+521−52002222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2000001+521−521+521−5200
χ112222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002200000−1+52−1−52−1+52−1−52002222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002200000−1+52−1−52−1+52−1−52002222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002200000−1+52−1−52−1+52−1−5200
χ122222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2000001−521+521−521+52002222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2000001−521+521−521+52002222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2000001−521+521−521+5200
χ13222-122-1-1-12222-1-1-1-1-1-1-1-122002-1-1-1-1000000222-122-1-1-12222-1-1-1-1-1-1-1-122002-1-1-1-1000000222-122-1-1-12222-1-1-1-1-1-1-1-122002-1-1-1-1000000
χ14222-122-1-1-12222-1-1-1-1-1-1-1-1-2-200-21111000000222-122-1-1-12222-1-1-1-1-1-1-1-1-2-200-21111000000222-122-1-1-12222-1-1-1-1-1-1-1-1-2-200-21111000000
χ1522-22−1−52−1+52-2-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52002-200000−1−52−1+521+521−520022-22−1−52−1+52-2-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52002-200000−1−52−1+521+521−520022-22−1−52−1+52-2-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52002-200000−1−52−1+521+521−5200
χ1622-22−1−52−1+52-2-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−5200-22000001+521−52−1−52−1+520022-22−1−52−1+52-2-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−5200-22000001+521−52−1−52−1+520022-22−1−52−1+52-2-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−5200-22000001+521−52−1−52−1+5200
χ1722-22−1+52−1−52-2-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52002-200000−1+52−1−521−521+520022-22−1+52−1−52-2-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52002-200000−1+52−1−521−521+520022-22−1+52−1−52-2-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52002-200000−1+52−1−521−521+5200
χ1822-22−1+52−1−52-2-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+5200-22000001−521+52−1+52−1−520022-22−1+52−1−52-2-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+5200-22000001−521+52−1+52−1−520022-22−1+52−1−52-2-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+5200-22000001−521+52−1+52−1−5200
χ1922-2-12211-122-2-2-1-1-1-111112200-2-1-11100000022-2-12211-122-2-2-1-1-1-111112200-2-1-11100000022-2-12211-122-2-2-1-1-1-111112200-2-1-111000000
χ2022-2-12211-122-2-2-1-1-1-11111-2-200211-1-100000022-2-12211-122-2-2-1-1-1-11111-2-200211-1-100000022-2-12211-122-2-2-1-1-1-11111-2-200211-1-1000000
χ212-2022200-2-2-20022-2-200002i−2i0002i−2i000000002-2022200-2-2-20022-2-200002i−2i0002i−2i000000002-2022200-2-2-20022-2-200002i−2i0002i−2i00000000
χ222-2022200-2-2-20022-2-20000−2i2i000−2i2i000000002-2022200-2-2-20022-2-20000−2i2i000−2i2i000000002-2022200-2-2-20022-2-20000−2i2i000−2i2i00000000
χ232-20-122−i3i31-2-200-1-111−i3i3−i3i32i−2i000−ii3−30000002-20-122−i3i31-2-200-1-111−i3i3−i3i32i−2i000−ii3−30000002-20-122−i3i31-2-200-1-111−i3i3−i3i32i−2i000−ii3−3000000
χ242-20-122−i3i31-2-200-1-111−i3i3−i3i3−2i2i000i−i−330000002-20-122−i3i31-2-200-1-111−i3i3−i3i3−2i2i000i−i−330000002-20-122−i3i31-2-200-1-111−i3i3−i3i3−2i2i000i−i−33000000
χ252-20-122i3−i31-2-200-1-111i3−i3i3−i32i−2i000−ii−330000002-20-122i3−i31-2-200-1-111i3−i3i3−i32i−2i000−ii−330000002-20-122i3−i31-2-200-1-111i3−i3i3−i32i−2i000−ii−33000000
χ262-20-122i3−i31-2-200-1-111i3−i3i3−i3−2i2i000i−i3−30000002-20-122i3−i31-2-200-1-111i3−i3i3−i3−2i2i000i−i3−30000002-20-122i3−i31-2-200-1-111i3−i3i3−i3−2i2i000i−i3−3000000
χ27444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52000000000000000444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52000000000000000444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52000000000000000
χ28444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52000000000000000444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52000000000000000444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52000000000000000
χ2944-4-2−1−5−1+522-2−1−5−1+51+51−51+521−521+521−52−1−52−1−52−1+52−1+5200000000000000044-4-2−1−5−1+522-2−1−5−1+51+51−51+521−521+521−52−1−52−1−52−1+52−1+5200000000000000044-4-2−1−5−1+522-2−1−5−1+51+51−51+521−521+521−52−1−52−1−52−1+52−1+52000000000000000
χ3044-4-2−1+5−1−522-2−1+5−1−51−51+51−521+521−521+52−1+52−1+52−1−52−1−5200000000000000044-4-2−1+5−1−522-2−1+5−1−51−51+51−521+521−521+52−1+52−1+52−1−52−1−5200000000000000044-4-2−1+5−1−522-2−1+5−1−51−51+51−521+521−521+52−1+52−1+52−1−52−1−52000000000000000
χ314-404−1−5−1+500-41+51−500−1−5−1+51+51−500000000000000000004-404−1−5−1+500-41+51−500−1−5−1+51+51−500000000000000000004-404−1−5−1+500-41+51−500−1−5−1+51+51−50000000000000000000
χ324-404−1+5−1−500-41−51+500−1+5−1−51−51+500000000000000000004-404−1+5−1−500-41−51+500−1+5−1−51−51+500000000000000000004-404−1+5−1−500-41−51+500−1+5−1−51−51+50000000000000000000
χ334-40-2−1−5−1+5−2i32i321+51−5001+521−52−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000004-40-2−1−5−1+5−2i32i321+51−5001+521−52−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000004-40-2−1−5−1+5−2i32i321+51−5001+521−52−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000
χ344-40-2−1−5−1+52i3−2i321+51−5001+521−52−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000004-40-2−1−5−1+52i3−2i321+51−5001+521−52−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000004-40-2−1−5−1+52i3−2i321+51−5001+521−52−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000
χ354-40-2−1+5−1−5−2i32i321−51+5001−521+52−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000004-40-2−1+5−1−5−2i32i321−51+5001−521+52−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000004-40-2−1+5−1−5−2i32i321−51+5001−521+52−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000
χ364-40-2−1+5−1−52i3−2i321−51+5001−521+52−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000004-40-2−1+5−1−52i3−2i321−51+5001−521+52−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000004-40-2−1+5−1−52i3−2i321−51+5001−521+52−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ39111111111111111111111-1-111-1-1-1-1-11111-1-1111111111111111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-111
χ40111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ4111-1111-1-1111-1-11111-1-1-1-1111-1-111-1-111-1-1-1111-1111-1-1111-1-11111-1-1-1-1111-1-111-1-111-1-1-11-1-11-1-1-111-1-1-111-1-1-1-11111-1-1-111-1-111-1-1111-1
χ4211-1111-1-1111-1-11111-1-1-1-111-11-111-1-1-1-1111-111-1111-1-1111-1-11111-1-1-1-111-11-111-1-1-1-1111-1-1-11-1-1-111-1-1-111-1-1-1-11111-1-11-11-1-11111-1-1-11
χ4311-1111-1-1111-1-11111-1-1-1-1-1-11-11-1-11111-1-11-111-1111-1-1111-1-11111-1-1-1-1-1-11-11-1-11111-1-11-1-1-11-1-1-111-1-1-111-1-1-1-1111111-11-111-1-1-1-111-11
χ4411-1111-1-1111-1-11111-1-1-1-1-1-1-111-1-111-1-111-1111-1111-1-1111-1-11111-1-1-1-1-1-1-111-1-111-1-111-11-1-11-1-1-111-1-1-111-1-1-1-11111111-1-111-1-111-1-11-1
χ452222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002200000−1−52−1+52−1−52−1+52002222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002200000−1−52−1+52−1−52−1+5200-2-2-2-21+521−52-2-2-21+521−521+521−521+521−521+521−521+521+521−521−5200-2-2000001+521−521+521−5200
χ462222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2000001+521−521+521−52002222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2000001+521−521+521−5200-2-2-2-21+521−52-2-2-21+521−521+521−521+521−521+521−521+521+521−521−52002200000−1−52−1+52−1−52−1+5200
χ472222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002200000−1+52−1−52−1+52−1−52002222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002200000−1+52−1−52−1+52−1−5200-2-2-2-21−521+52-2-2-21−521+521−521+521−521+521−521+521−521−521+521+5200-2-2000001−521+521−521+5200
χ482222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2000001−521+521−521+52002222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2000001−521+521−521+5200-2-2-2-21−521+52-2-2-21−521+521−521+521−521+521−521+521−521−521+521+52002200000−1+52−1−52−1+52−1−5200
χ49222-122-1-1-12222-1-1-1-1-1-1-1-122002-1-1-1-1000000222-122-1-1-12222-1-1-1-1-1-1-1-122002-1-1-1-1000000-2-2-21-2-2111-2-2-2-211111111-2-200-21111000000
χ50222-122-1-1-12222-1-1-1-1-1-1-1-1-2-200-21111000000222-122-1-1-12222-1-1-1-1-1-1-1-1-2-200-21111000000-2-2-21-2-2111-2-2-2-21111111122002-1-1-1-1000000
χ5122-22−1−52−1+52-2-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52002-200000−1−52−1+521+521−520022-22−1−52−1+52-2-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52002-200000−1−52−1+521+521−5200-2-22-21+521−5222-21+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+5200-22000001+521−52−1−52−1+5200
χ5222-22−1−52−1+52-2-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−5200-22000001+521−52−1−52−1+520022-22−1−52−1+52-2-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−5200-22000001+521−52−1−52−1+5200-2-22-21+521−5222-21+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52002-200000−1−52−1+521+521−5200
χ5322-22−1+52−1−52-2-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52002-200000−1+52−1−521−521+520022-22−1+52−1−52-2-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52002-200000−1+52−1−521−521+5200-2-22-21−521+5222-21−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200-22000001−521+52−1+52−1−5200
χ5422-22−1+52−1−52-2-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+5200-22000001−521+52−1+52−1−520022-22−1+52−1−52-2-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+5200-22000001−521+52−1+52−1−5200-2-22-21−521+5222-21−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52002-200000−1+52−1−521−521+5200
χ5522-2-12211-122-2-2-1-1-1-111112200-2-1-11100000022-2-12211-122-2-2-1-1-1-111112200-2-1-111000000-2-221-2-2-1-11-2-2221111-1-1-1-1-2-200211-1-1000000
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χ602-20-122−i3i31-2-200-1-111−i3i3−i3i3−2i2i000i−i−330000002-20-122−i3i31-2-200-1-111−i3i3−i3i3−2i2i000i−i−33000000-2201-2-2i3−i3-1220011-1-1i3−i3i3−i32i−2i000−ii3−3000000
χ612-20-122i3−i31-2-200-1-111i3−i3i3−i32i−2i000−ii−330000002-20-122i3−i31-2-200-1-111i3−i3i3−i32i−2i000−ii−33000000-2201-2-2−i3i3-1220011-1-1−i3i3−i3i3−2i2i000i−i3−3000000
χ622-20-122i3−i31-2-200-1-111i3−i3i3−i3−2i2i000i−i3−30000002-20-122i3−i31-2-200-1-111i3−i3i3−i3−2i2i000i−i3−3000000-2201-2-2−i3i3-1220011-1-1−i3i3−i3i32i−2i000−ii−33000000
χ63444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52000000000000000444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52000000000000000-4-4-421+51−52221+51−51+51−5−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000
χ64444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52000000000000000444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52000000000000000-4-4-421−51+52221−51+51−51+5−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000000
χ6544-4-2−1−5−1+522-2−1−5−1+51+51−51+521−521+521−52−1−52−1−52−1+52−1+5200000000000000044-4-2−1−5−1+522-2−1−5−1+51+51−51+521−521+521−52−1−52−1−52−1+52−1+52000000000000000-4-4421+51−5-2-221+51−5−1−5−1+5−1−52−1+52−1−52−1+521+521+521−521−52000000000000000
χ6644-4-2−1+5−1−522-2−1+5−1−51−51+51−521+521−521+52−1+52−1+52−1−52−1−5200000000000000044-4-2−1+5−1−522-2−1+5−1−51−51+51−521+521−521+52−1+52−1+52−1−52−1−52000000000000000-4-4421−51+5-2-221−51+5−1+5−1−5−1+52−1−52−1+52−1−521−521−521+521+52000000000000000
χ674-404−1−5−1+500-41+51−500−1−5−1+51+51−500000000000000000004-404−1−5−1+500-41+51−500−1−5−1+51+51−50000000000000000000-440-41+51−5004−1−5−1+5001+51−5−1−5−1+50000000000000000000
χ684-404−1+5−1−500-41−51+500−1+5−1−51−51+500000000000000000004-404−1+5−1−500-41−51+500−1+5−1−51−51+50000000000000000000-440-41−51+5004−1+5−1−5001−51+5−1+5−1−50000000000000000000
χ694-40-2−1−5−1+5−2i32i321+51−5001+521−52−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000004-40-2−1−5−1+5−2i32i321+51−5001+521−52−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000-44021+51−52i3−2i3-2−1−5−1+500−1−52−1+521+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000
χ704-40-2−1−5−1+52i3−2i321+51−5001+521−52−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000004-40-2−1−5−1+52i3−2i321+51−5001+521−52−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000-44021+51−5−2i32i3-2−1−5−1+500−1−52−1+521+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000
χ714-40-2−1+5−1−5−2i32i321−51+5001−521+52−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000004-40-2−1+5−1−5−2i32i321−51+5001−521+52−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000-44021−51+52i3−2i3-2−1+5−1−500−1+52−1−521−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000
χ724-40-2−1+5−1−52i3−2i321−51+5001−521+52−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000004-40-2−1+5−1−52i3−2i321−51+5001−521+52−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000-44021−51+5−2i32i3-2−1+5−1−500−1+52−1−521−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000
χ73222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ7422222222222222222222222-2-222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111000000000000000000000000000000000000
χ75222222222222222222222-2-222-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-111000000000000000000000000000000000000
χ76222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1000000000000000000000000000000000000
χ7722-2222-2-2222-2-22222-2-2-2-2222-2-222-2-222-2-2-22-1-11-1-1-111-1-1-111-1-1-1-11111-1-1-111-1-111-1-1111-1000000000000000000000000000000000000
χ7822-2222-2-2222-2-22222-2-2-2-222-22-222-2-2-2-2222-2-1-11-1-1-111-1-1-111-1-1-1-11111-1-11-11-1-11111-1-1-11000000000000000000000000000000000000
χ7922-2222-2-2222-2-22222-2-2-2-2-2-22-22-2-22222-2-22-2-1-11-1-1-111-1-1-111-1-1-1-1111111-11-111-1-1-1-111-11000000000000000000000000000000000000
χ8022-2222-2-2222-2-22222-2-2-2-2-2-2-222-2-222-2-222-22-1-11-1-1-111-1-1-111-1-1-1-11111111-1-111-1-111-1-11-1000000000000000000000000000000000000
χ814444−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5004400000−1−5−1+5−1−5−1+500-2-2-2-21+521−52-2-2-21+521−521+521−521+521−521+521−521+521+521−521−5200-2-2000001+521−521+521−5200000000000000000000000000000000000000
χ824444−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500-4-4000001+51−51+51−500-2-2-2-21+521−52-2-2-21+521−521+521−521+521−521+521−521+521+521−521−52002200000−1−52−1+52−1−52−1+5200000000000000000000000000000000000000
χ834444−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5004400000−1+5−1−5−1+5−1−500-2-2-2-21−521+52-2-2-21−521+521−521+521−521+521−521+521−521−521+521+5200-2-2000001−521+521−521+5200000000000000000000000000000000000000
χ844444−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500-4-4000001−51+51−51+500-2-2-2-21−521+52-2-2-21−521+521−521+521−521+521−521+521−521−521+521+52002200000−1+52−1−52−1+52−1−5200000000000000000000000000000000000000
χ85444-244-2-2-24444-2-2-2-2-2-2-2-244004-2-2-2-2000000-2-2-21-2-2111-2-2-2-211111111-2-200-21111000000000000000000000000000000000000000000
χ86444-244-2-2-24444-2-2-2-2-2-2-2-2-4-400-42222000000-2-2-21-2-2111-2-2-2-21111111122002-1-1-1-1000000000000000000000000000000000000000000
χ8744-44−1−5−1+5-4-44−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51+51−51−5004-400000−1−5−1+51+51−500-2-22-21+521−5222-21+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+5200-22000001+521−52−1−52−1+5200000000000000000000000000000000000000
χ8844-44−1−5−1+5-4-44−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51+51−51−500-44000001+51−5−1−5−1+500-2-22-21+521−5222-21+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52002-200000−1−52−1+521+521−5200000000000000000000000000000000000000
χ8944-44−1+5−1−5-4-44−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51−51+51+5004-400000−1+5−1−51−51+500-2-22-21−521+5222-21−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200-22000001−521+52−1+52−1−5200000000000000000000000000000000000000
χ9044-44−1+5−1−5-4-44−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51−51+51+500-44000001−51+5−1+5−1−500-2-22-21−521+5222-21−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52002-200000−1+52−1−521−521+5200000000000000000000000000000000000000
χ9144-4-24422-244-4-4-2-2-2-222224400-4-2-222000000-2-221-2-2-1-11-2-2221111-1-1-1-1-2-200211-1-1000000000000000000000000000000000000000000
χ9244-4-24422-244-4-4-2-2-2-22222-4-400422-2-2000000-2-221-2-2-1-11-2-2221111-1-1-1-12200-2-1-111000000000000000000000000000000000000000000
χ934-4044400-4-4-40044-4-400004i−4i0004i−4i00000000-220-2-2-20022200-2-2220000−2i2i000−2i2i00000000000000000000000000000000000000000000
χ944-4044400-4-4-40044-4-40000−4i4i000−4i4i00000000-220-2-2-20022200-2-22200002i−2i0002i−2i00000000000000000000000000000000000000000000
χ954-40-244−2i32i32-4-400-2-222−2i32i3−2i32i34i−4i000−2i2i23−23000000-2201-2-2i3−i3-1220011-1-1i3−i3i3−i3−2i2i000i−i−33000000000000000000000000000000000000000000
χ964-40-244−2i32i32-4-400-2-222−2i32i3−2i32i3−4i4i0002i−2i−2323000000-2201-2-2i3−i3-1220011-1-1i3−i3i3−i32i−2i000−ii3−3000000000000000000000000000000000000000000
χ974-40-2442i3−2i32-4-400-2-2222i3−2i32i3−2i34i−4i000−2i2i−2323000000-2201-2-2−i3i3-1220011-1-1−i3i3−i3i3−2i2i000i−i3−3000000000000000000000000000000000000000000
χ984-40-2442i3−2i32-4-400-2-2222i3−2i32i3−2i3−4i4i0002i−2i23−23000000-2201-2-2−i3i3-1220011-1-1−i3i3−i3i32i−2i000−ii−33000000000000000000000000000000000000000000
χ99888-4−2−25−2+25-4-4-4−2−25−2+25−2−25−2+251+51−51+51−51+51+51−51−5000000000000000-4-4-421+51−52221+51−51+51−5−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000000000000000000000
χ100888-4−2+25−2−25-4-4-4−2+25−2−25−2+25−2−251−51+51−51+51−51−51+51+5000000000000000-4-4-421−51+52221−51+51−51+5−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000000000000000000
χ10188-8-4−2−25−2+2544-4−2−25−2+252+252−251+51−51+51−5−1−5−1−5−1+5−1+5000000000000000-4-4421+51−5-2-221+51−5−1−5−1+5−1−52−1+52−1−52−1+521+521+521−521−52000000000000000000000000000000000000000000000000000
χ10288-8-4−2+25−2−2544-4−2+25−2−252−252+251−51+51−51+5−1+5−1+5−1−5−1−5000000000000000-4-4421−51+5-2-221−51+5−1+5−1−5−1+52−1−52−1+52−1−521−521−521+521+52000000000000000000000000000000000000000000000000000
χ1038-808−2−25−2+2500-82+252−2500−2−25−2+252+252−250000000000000000000-440-41+51−5004−1−5−1+5001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000
χ1048-808−2+25−2−2500-82−252+2500−2+25−2−252−252+250000000000000000000-440-41−51+5004−1+5−1−5001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000
χ1058-80-4−2−25−2+25−4i34i342+252−25001+51−5−1−5−1+52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58000000000000000-44021+51−52i3−2i3-2−1−5−1+500−1−52−1+521+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000000000000000000000
χ1068-80-4−2−25−2+254i3−4i342+252−25001+51−5−1−5−1+5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58000000000000000-44021+51−5−2i32i3-2−1−5−1+500−1−52−1+521+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000000000000000000000
χ1078-80-4−2+25−2−25−4i34i342−252+25001−51+5−1+5−1−52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46000000000000000-44021−51+52i3−2i3-2−1+5−1−500−1+52−1−521−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000000000000000000000000
χ1088-80-4−2+25−2−254i3−4i342−252+25001−51+5−1+5−1−5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46000000000000000-44021−51+5−2i32i3-2−1+5−1−500−1+52−1−521−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000000000000000000000000

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