Finite Group Databasebeta

← Group #11756997

Character table — Group #11756997

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size112222244444444444455101010101030303030112222244444444444455101010101030303030112222244444444444455101010101030303030112222244444444444455101010101030303030
order122366651010101515303030303030444121212128888222666610101010303030303030303044412121212888822266661010101030303030303030304441212121288882226666101010103030303030303030444121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i
χ41111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii
χ511-11-1-1111-1-11111-1-1-1-111-111-1-11-11-111-11-1-1111-1-11111-1-1-1-111-111-1-11-11-111-11-1-1111-1-11111-1-1-1-111-111-1-11-11-111-11-1-1111-1-11111-1-1-1-111-111-1-11-11-1
χ611-11-1-1111-1-11111-1-1-1-111-111-1-1-11-1111-11-1-1111-1-11111-1-1-1-111-111-1-1-11-1111-11-1-1111-1-11111-1-1-1-111-111-1-1-11-1111-11-1-1111-1-11111-1-1-1-111-111-1-1-11-11
χ711-11-1-1111-1-11111-1-1-1-1-1-11-1-111i−i−ii11-11-1-1111-1-11111-1-1-1-1-1-11-1-111i−i−ii11-11-1-1111-1-11111-1-1-1-1-1-11-1-111i−i−ii11-11-1-1111-1-11111-1-1-1-1-1-11-1-111i−i−ii
χ811-11-1-1111-1-11111-1-1-1-1-1-11-1-111−iii−i11-11-1-1111-1-11111-1-1-1-1-1-11-1-111−iii−i11-11-1-1111-1-11111-1-1-1-1-1-11-1-111−iii−i11-11-1-1111-1-11111-1-1-1-1-1-11-1-111−iii−i
χ9222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000
χ10222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000
χ1122-2-111-122-2-2-1-1-1-1111122-2-1-111000022-2-111-122-2-2-1-1-1-1111122-2-1-111000022-2-111-122-2-2-1-1-1-1111122-2-1-111000022-2-111-122-2-2-1-1-1-1111122-2-1-1110000
χ1222-2-111-122-2-2-1-1-1-11111-2-2211-1-1000022-2-111-122-2-2-1-1-1-11111-2-2211-1-1000022-2-111-122-2-2-1-1-1-11111-2-2211-1-1000022-2-111-122-2-2-1-1-1-11111-2-2211-1-10000
χ132-20200-22-20022-2-200002i−2i02i−2i0000002-20200-22-20022-2-200002i−2i02i−2i0000002-20200-22-20022-2-200002i−2i02i−2i0000002-20200-22-20022-2-200002i−2i02i−2i000000
χ142-20200-22-20022-2-20000−2i2i0−2i2i0000002-20200-22-20022-2-20000−2i2i0−2i2i0000002-20200-22-20022-2-20000−2i2i0−2i2i0000002-20200-22-20022-2-20000−2i2i0−2i2i000000
χ152-20-1−i3i312-200-1-111−i3−i3i3i32i−2i0−ii3−300002-20-1−i3i312-200-1-111−i3−i3i3i32i−2i0−ii3−300002-20-1−i3i312-200-1-111−i3−i3i3i32i−2i0−ii3−300002-20-1−i3i312-200-1-111−i3−i3i3i32i−2i0−ii3−30000
χ162-20-1−i3i312-200-1-111−i3−i3i3i3−2i2i0i−i−3300002-20-1−i3i312-200-1-111−i3−i3i3i3−2i2i0i−i−3300002-20-1−i3i312-200-1-111−i3−i3i3i3−2i2i0i−i−3300002-20-1−i3i312-200-1-111−i3−i3i3i3−2i2i0i−i−330000
χ172-20-1i3−i312-200-1-111i3i3−i3−i32i−2i0−ii−3300002-20-1i3−i312-200-1-111i3i3−i3−i32i−2i0−ii−3300002-20-1i3−i312-200-1-111i3i3−i3−i32i−2i0−ii−3300002-20-1i3−i312-200-1-111i3i3−i3−i32i−2i0−ii−330000
χ182-20-1i3−i312-200-1-111i3i3−i3−i3−2i2i0i−i3−300002-20-1i3−i312-200-1-111i3i3−i3−i3−2i2i0i−i3−300002-20-1i3−i312-200-1-111i3i3−i3−i3−2i2i0i−i3−300002-20-1i3−i312-200-1-111i3i3−i3−i3−2i2i0i−i3−30000
χ194444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ20444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000
χ21444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000
χ2244-44-4-44-1-111-1-1-1-111110000000000044-44-4-44-1-111-1-1-1-111110000000000044-44-4-44-1-111-1-1-1-111110000000000044-44-4-44-1-111-1-1-1-1111100000000000
χ2344-4-222-2-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-4-222-2-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-4-222-2-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-4-222-2-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000
χ2444-4-222-2-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-4-222-2-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-4-222-2-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-4-222-2-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i15200000000000
χ254-40400-4-11−55-1-111−555−5000000000004-40400-4-11−55-1-111−555−5000000000004-40400-4-11−55-1-111−555−5000000000004-40400-4-11−55-1-111−555−500000000000
χ264-40400-4-115−5-1-1115−5−55000000000004-40400-4-115−5-1-1115−5−55000000000004-40400-4-115−5-1-1115−5−55000000000004-40400-4-115−5-1-1115−5−5500000000000
χ274-40-2−2i32i32-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000004-40-2−2i32i32-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000004-40-2−2i32i32-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000004-40-2−2i32i32-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000
χ284-40-2−2i32i32-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46000000000004-40-2−2i32i32-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46000000000004-40-2−2i32i32-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46000000000004-40-2−2i32i32-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000
χ294-40-22i3−2i32-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46000000000004-40-22i3−2i32-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46000000000004-40-22i3−2i32-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46000000000004-40-22i3−2i32-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000
χ304-40-22i3−2i32-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58000000000004-40-22i3−2i32-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58000000000004-40-22i3−2i32-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58000000000004-40-22i3−2i32-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ5800000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ331111111111111111111-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iii1111111111111111111-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iii
χ341111111111111111111-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i1111111111111111111-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i
χ3511-11-1-1111-1-11111-1-1-1-111-111-1-11-11-1-1-11-111-1-1-111-1-1-1-11111-1-11-1-111-11-1111-11-1-1111-1-11111-1-1-1-111-111-1-11-11-1-1-11-111-1-1-111-1-1-1-11111-1-11-1-111-11-11
χ3611-11-1-1111-1-11111-1-1-1-111-111-1-1-11-11-1-11-111-1-1-111-1-1-1-11111-1-11-1-1111-11-111-11-1-1111-1-11111-1-1-1-111-111-1-1-11-11-1-11-111-1-1-111-1-1-1-11111-1-11-1-1111-11-1
χ3711-11-1-1111-1-11111-1-1-1-1-1-11-1-111i−i−ii-1-11-111-1-1-111-1-1-1-1111111-111-1-1−iii−i11-11-1-1111-1-11111-1-1-1-1-1-11-1-111i−i−ii-1-11-111-1-1-111-1-1-1-1111111-111-1-1−iii−i
χ3811-11-1-1111-1-11111-1-1-1-1-1-11-1-111−iii−i-1-11-111-1-1-111-1-1-1-1111111-111-1-1i−i−ii11-11-1-1111-1-11111-1-1-1-1-1-11-1-111−iii−i-1-11-111-1-1-111-1-1-1-1111111-111-1-1i−i−ii
χ39222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000-2-2-21111-2-2-2-211111111-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000-2-2-21111-2-2-2-211111111-2-2-211110000
χ40222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000-2-2-21111-2-2-2-211111111222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000-2-2-21111-2-2-2-211111111222-1-1-1-10000
χ4122-2-111-122-2-2-1-1-1-1111122-2-1-1110000-2-221-1-11-2-2221111-1-1-1-1-2-2211-1-1000022-2-111-122-2-2-1-1-1-1111122-2-1-1110000-2-221-1-11-2-2221111-1-1-1-1-2-2211-1-10000
χ4222-2-111-122-2-2-1-1-1-11111-2-2211-1-10000-2-221-1-11-2-2221111-1-1-1-122-2-1-111000022-2-111-122-2-2-1-1-1-11111-2-2211-1-10000-2-221-1-11-2-2221111-1-1-1-122-2-1-1110000
χ432-20200-22-20022-2-200002i−2i02i−2i000000-220-2002-2200-2-2220000−2i2i0−2i2i0000002-20200-22-20022-2-200002i−2i02i−2i000000-220-2002-2200-2-2220000−2i2i0−2i2i000000
χ442-20200-22-20022-2-20000−2i2i0−2i2i000000-220-2002-2200-2-22200002i−2i02i−2i0000002-20200-22-20022-2-20000−2i2i0−2i2i000000-220-2002-2200-2-22200002i−2i02i−2i000000
χ452-20-1−i3i312-200-1-111−i3−i3i3i32i−2i0−ii3−30000-2201i3−i3-1-220011-1-1i3i3−i3−i3−2i2i0i−i−3300002-20-1−i3i312-200-1-111−i3−i3i3i32i−2i0−ii3−30000-2201i3−i3-1-220011-1-1i3i3−i3−i3−2i2i0i−i−330000
χ462-20-1−i3i312-200-1-111−i3−i3i3i3−2i2i0i−i−330000-2201i3−i3-1-220011-1-1i3i3−i3−i32i−2i0−ii3−300002-20-1−i3i312-200-1-111−i3−i3i3i3−2i2i0i−i−330000-2201i3−i3-1-220011-1-1i3i3−i3−i32i−2i0−ii3−30000
χ472-20-1i3−i312-200-1-111i3i3−i3−i32i−2i0−ii−330000-2201−i3i3-1-220011-1-1−i3−i3i3i3−2i2i0i−i3−300002-20-1i3−i312-200-1-111i3i3−i3−i32i−2i0−ii−330000-2201−i3i3-1-220011-1-1−i3−i3i3i3−2i2i0i−i3−30000
χ482-20-1i3−i312-200-1-111i3i3−i3−i3−2i2i0i−i3−30000-2201−i3i3-1-220011-1-1−i3−i3i3i32i−2i0−ii−3300002-20-1i3−i312-200-1-111i3i3−i3−i3−2i2i0i−i3−30000-2201−i3i3-1-220011-1-1−i3−i3i3i32i−2i0−ii−330000
χ494444444-1-1-1-1-1-1-1-1-1-1-1-100000000000-4-4-4-4-4-4-4111111111111000000000004444444-1-1-1-1-1-1-1-1-1-1-1-100000000000-4-4-4-4-4-4-411111111111100000000000
χ50444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000-4-4-422221111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000-4-4-422221111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000
χ51444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000-4-4-422221111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000-4-4-422221111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000
χ5244-44-4-44-1-111-1-1-1-1111100000000000-4-44-444-411-1-11111-1-1-1-10000000000044-44-4-44-1-111-1-1-1-1111100000000000-4-44-444-411-1-11111-1-1-1-100000000000
χ5344-4-222-2-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000-4-442-2-2211-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i1520000000000044-4-222-2-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000-4-442-2-2211-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i15200000000000
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χ69222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000-2-2-21111-2-2-2-211111111-2-2-211110000-2-2-21111-2-2-2-211111111-2-2-211110000
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χ794444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-100000000000-4-4-4-4-4-4-411111111111100000000000-4-4-4-4-4-4-411111111111100000000000
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χ884-40-2−2i32i32-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46000000000004-40-2−2i32i32-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000-44022i3−2i3-21-1−55−1+i152−1−i1521−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000-44022i3−2i3-21-1−55−1+i152−1−i1521−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000
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χ904-40-22i3−2i32-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58000000000004-40-22i3−2i32-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ5800000000000-4402−2i32i3-21-1−55−1−i152−1+i1521+i1521−i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000-4402−2i32i3-21-1−55−1−i152−1+i1521+i1521−i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000
χ91111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111
χ9211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1
χ931111111111111111111-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iii1111111111111111111-1-1-1-1-1-1-1ii−i−i
χ941111111111111111111-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i1111111111111111111-1-1-1-1-1-1-1−i−iii
χ9511-11-1-1111-1-11111-1-1-1-111-111-1-11-11-1-1-11-111-1-1-111-1-1-1-11111-1-11-1-111-11-11-1-11-111-1-1-111-1-1-1-11111-1-11-1-111-11-1111-11-1-1111-1-11111-1-1-1-111-111-1-11-11-1
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χ99222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000-2-2-21111-2-2-2-211111111-2-2-211110000-2-2-21111-2-2-2-211111111-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000
χ100222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000-2-2-21111-2-2-2-211111111222-1-1-1-10000-2-2-21111-2-2-2-211111111222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000
χ10122-2-111-122-2-2-1-1-1-1111122-2-1-1110000-2-221-1-11-2-2221111-1-1-1-1-2-2211-1-10000-2-221-1-11-2-2221111-1-1-1-1-2-2211-1-1000022-2-111-122-2-2-1-1-1-1111122-2-1-1110000
χ10222-2-111-122-2-2-1-1-1-11111-2-2211-1-10000-2-221-1-11-2-2221111-1-1-1-122-2-1-1110000-2-221-1-11-2-2221111-1-1-1-122-2-1-111000022-2-111-122-2-2-1-1-1-11111-2-2211-1-10000
χ1032-20200-22-20022-2-200002i−2i02i−2i000000-220-2002-2200-2-2220000−2i2i0−2i2i000000-220-2002-2200-2-2220000−2i2i0−2i2i0000002-20200-22-20022-2-200002i−2i02i−2i000000
χ1042-20200-22-20022-2-20000−2i2i0−2i2i000000-220-2002-2200-2-22200002i−2i02i−2i000000-220-2002-2200-2-22200002i−2i02i−2i0000002-20200-22-20022-2-20000−2i2i0−2i2i000000
χ1052-20-1−i3i312-200-1-111−i3−i3i3i32i−2i0−ii3−30000-2201i3−i3-1-220011-1-1i3i3−i3−i3−2i2i0i−i−330000-2201i3−i3-1-220011-1-1i3i3−i3−i3−2i2i0i−i−3300002-20-1−i3i312-200-1-111−i3−i3i3i32i−2i0−ii3−30000
χ1062-20-1−i3i312-200-1-111−i3−i3i3i3−2i2i0i−i−330000-2201i3−i3-1-220011-1-1i3i3−i3−i32i−2i0−ii3−30000-2201i3−i3-1-220011-1-1i3i3−i3−i32i−2i0−ii3−300002-20-1−i3i312-200-1-111−i3−i3i3i3−2i2i0i−i−330000
χ1072-20-1i3−i312-200-1-111i3i3−i3−i32i−2i0−ii−330000-2201−i3i3-1-220011-1-1−i3−i3i3i3−2i2i0i−i3−30000-2201−i3i3-1-220011-1-1−i3−i3i3i3−2i2i0i−i3−300002-20-1i3−i312-200-1-111i3i3−i3−i32i−2i0−ii−330000
χ1082-20-1i3−i312-200-1-111i3i3−i3−i3−2i2i0i−i3−30000-2201−i3i3-1-220011-1-1−i3−i3i3i32i−2i0−ii−330000-2201−i3i3-1-220011-1-1−i3−i3i3i32i−2i0−ii−3300002-20-1i3−i312-200-1-111i3i3−i3−i3−2i2i0i−i3−30000
χ1094444444-1-1-1-1-1-1-1-1-1-1-1-100000000000-4-4-4-4-4-4-411111111111100000000000-4-4-4-4-4-4-4111111111111000000000004444444-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ110444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000-4-4-422221111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000-4-4-422221111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000
χ111444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000-4-4-422221111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000-4-4-422221111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000
χ11244-44-4-44-1-111-1-1-1-1111100000000000-4-44-444-411-1-11111-1-1-1-100000000000-4-44-444-411-1-11111-1-1-1-10000000000044-44-4-44-1-111-1-1-1-1111100000000000
χ11344-4-222-2-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000-4-442-2-2211-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i15200000000000-4-442-2-2211-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i1520000000000044-4-222-2-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000
χ11444-4-222-2-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i15200000000000-4-442-2-2211-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i15200000000000-4-442-2-2211-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i1520000000000044-4-222-2-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i15200000000000
χ1154-40400-4-11−55-1-111−555−500000000000-440-40041-15−511-1-15−5−5500000000000-440-40041-15−511-1-15−5−55000000000004-40400-4-11−55-1-111−555−500000000000
χ1164-40400-4-115−5-1-1115−5−5500000000000-440-40041-1−5511-1-1−555−500000000000-440-40041-1−5511-1-1−555−5000000000004-40400-4-115−5-1-1115−5−5500000000000
χ1174-40-2−2i32i32-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000-44022i3−2i3-21-15−5−1−i152−1+i1521+i1521−i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ5800000000000-44022i3−2i3-21-15−5−1−i152−1+i1521+i1521−i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58000000000004-40-2−2i32i32-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000
χ1184-40-2−2i32i32-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000-44022i3−2i3-21-1−55−1+i152−1−i1521−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000-44022i3−2i3-21-1−55−1+i152−1−i1521−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46000000000004-40-2−2i32i32-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000
χ1194-40-22i3−2i32-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000-4402−2i32i3-21-15−5−1+i152−1−i1521−i1521+i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000-4402−2i32i3-21-15−5−1+i152−1−i1521−i1521+i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46000000000004-40-22i3−2i32-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000
χ1204-40-22i3−2i32-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ5800000000000-4402−2i32i3-21-1−55−1−i152−1+i1521+i1521−i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000-4402−2i32i3-21-1−55−1−i152−1+i1521+i1521−i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000004-40-22i3−2i32-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ5800000000000

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