Finite Group Databasebeta

← Group #13157084

Character table — Group #13157084

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111144444444488888888888881818181836363636363636367211114444444448888888888888181818183636363636363636721111444444444888888888888818181818363636363636363672
order122233466666641212121212121212121212124444888888884366633126666661212121212121212121212121212121212242424242424242412366633126666661212121212121212121212121212121212242424242424242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11
χ311111111111111111111111111-1-1-1-1iiii−i−i−i−i-111111111111111111111111111-1-1-1-1iiii−i−i−i−i-111111111111111111111111111-1-1-1-1iiii−i−i−i−i-1
χ411111111111111111111111111-1-1-1-1−i−i−i−iiiii-111111111111111111111111111-1-1-1-1−i−i−i−iiiii-111111111111111111111111111-1-1-1-1−i−i−i−iiiii-1
χ51111111111111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11111111111111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11111111111111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1
χ61111111111111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11111111111111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11111111111111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1
χ71111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii1
χ81111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i1
χ9222222-22222220-2-2-2-20000000022-2-2000000000222222-22222220-2-2-2-20000000022-2-2000000000222222-22222220-2-2-2-20000000022-2-2000000000
χ10222222-22222220-2-2-2-200000000-2-222000000000222222-22222220-2-2-2-200000000-2-222000000000222222-22222220-2-2-2-200000000-2-222000000000
χ112-22-2220-2-2-2-2220000000000000002i−2i1+i−1−i001−i−1+i0002-22-2220-2-2-2-2220000000000000002i−2i1+i−1−i001−i−1+i0002-22-2220-2-2-2-2220000000000000002i−2i1+i−1−i001−i−1+i000
χ122-22-2220-2-2-2-2220000000000000002i−2i−1−i1+i00−1+i1−i0002-22-2220-2-2-2-2220000000000000002i−2i−1−i1+i00−1+i1−i0002-22-2220-2-2-2-2220000000000000002i−2i−1−i1+i00−1+i1−i000
χ132-22-2220-2-2-2-222000000000000000−2i2i1−i−1+i001+i−1−i0002-22-2220-2-2-2-222000000000000000−2i2i1−i−1+i001+i−1−i0002-22-2220-2-2-2-222000000000000000−2i2i1−i−1+i001+i−1−i000
χ142-22-2220-2-2-2-222000000000000000−2i2i−1+i1−i00−1−i1+i0002-22-2220-2-2-2-222000000000000000−2i2i−1+i1−i00−1−i1+i0002-22-2220-2-2-2-222000000000000000−2i2i−1+i1−i00−1−i1+i000
χ152-2-2222022-2-2-2-200000000000002i−2i00001−i−1+i001+i−1−i02-2-2222022-2-2-2-200000000000002i−2i00001−i−1+i001+i−1−i02-2-2222022-2-2-2-200000000000002i−2i00001−i−1+i001+i−1−i0
χ162-2-2222022-2-2-2-200000000000002i−2i0000−1+i1−i00−1−i1+i02-2-2222022-2-2-2-200000000000002i−2i0000−1+i1−i00−1−i1+i02-2-2222022-2-2-2-200000000000002i−2i0000−1+i1−i00−1−i1+i0
χ172-2-2222022-2-2-2-20000000000000−2i2i00001+i−1−i001−i−1+i02-2-2222022-2-2-2-20000000000000−2i2i00001+i−1−i001−i−1+i02-2-2222022-2-2-2-20000000000000−2i2i00001+i−1−i001−i−1+i0
χ182-2-2222022-2-2-2-20000000000000−2i2i0000−1−i1+i00−1+i1−i02-2-2222022-2-2-2-20000000000000−2i2i0000−1−i1+i00−1+i1−i02-2-2222022-2-2-2-20000000000000−2i2i0000−1−i1+i00−1+i1−i0
χ1944441-241-21-21-2411-2-21111-2-2-2-2000000000000044441-241-21-21-2411-2-21111-2-2-2-2000000000000044441-241-21-21-2411-2-21111-2-2-2-20000000000000
χ2044441-241-21-21-2-411-2-2-1-1-1-12222000000000000044441-241-21-21-2-411-2-2-1-1-1-12222000000000000044441-241-21-21-2-411-2-2-1-1-1-122220000000000000
χ2144441-2-41-21-21-20-1-12233-3-30000000000000000044441-2-41-21-21-20-1-12233-3-30000000000000000044441-2-41-21-21-20-1-12233-3-300000000000000000
χ2244441-2-41-21-21-20-1-122-3-3330000000000000000044441-2-41-21-21-20-1-122-3-3330000000000000000044441-2-41-21-21-20-1-122-3-33300000000000000000
χ234444-214-21-21-214-2-211-2-2-2-2111100000000000004444-214-21-21-214-2-211-2-2-2-2111100000000000004444-214-21-21-214-2-211-2-2-2-211110000000000000
χ244444-214-21-21-21-4-2-2112222-1-1-1-100000000000004444-214-21-21-21-4-2-2112222-1-1-1-100000000000004444-214-21-21-21-4-2-2112222-1-1-1-10000000000000
χ254444-21-4-21-21-21022-1-1000033-3-300000000000004444-21-4-21-21-21022-1-1000033-3-300000000000004444-21-4-21-21-21022-1-1000033-3-30000000000000
χ264444-21-4-21-21-21022-1-10000-3-33300000000000004444-21-4-21-21-21022-1-10000-3-33300000000000004444-21-4-21-21-21022-1-10000-3-3330000000000000
χ2744-4-41-20-121-2-1203-3003−33−30023−23000000000000044-4-41-20-121-2-1203-3003−33−30023−23000000000000044-4-41-20-121-2-1203-3003−33−30023−230000000000000
χ2844-4-41-20-121-2-1203-300−33−3300−2323000000000000044-4-41-20-121-2-1203-300−33−3300−2323000000000000044-4-41-20-121-2-1203-300−33−3300−23230000000000000
χ2944-4-41-20-121-2-120-33003−3−3323−2300000000000000044-4-41-20-121-2-120-33003−3−3323−2300000000000000044-4-41-20-121-2-120-33003−3−3323−23000000000000000
χ3044-4-41-20-121-2-120-3300−333−3−232300000000000000044-4-41-20-121-2-120-3300−333−3−232300000000000000044-4-41-20-121-2-120-3300−333−3−2323000000000000000
χ3144-4-4440-4-444-4-40000000000000000000000000044-4-4440-4-444-4-40000000000000000000000000044-4-4440-4-444-4-400000000000000000000000000
χ3244-4-4-2102-1-212-10003-30023−233−3−33000000000000044-4-4-2102-1-212-10003-30023−233−3−33000000000000044-4-4-2102-1-212-10003-30023−233−3−330000000000000
χ3344-4-4-2102-1-212-10003-300−2323−333−3000000000000044-4-4-2102-1-212-10003-300−2323−333−3000000000000044-4-4-2102-1-212-10003-300−2323−333−30000000000000
χ3444-4-4-2102-1-212-1000-3323−2300−33−33000000000000044-4-4-2102-1-212-1000-3323−2300−33−33000000000000044-4-4-2102-1-212-1000-3323−2300−33−330000000000000
χ3544-4-4-2102-1-212-1000-33−2323003−33−3000000000000044-4-4-2102-1-212-1000-33−2323003−33−3000000000000044-4-4-2102-1-212-1000-33−2323003−33−30000000000000
χ368-88-82-40-24-242-4000000000000000000000000008-88-82-40-24-242-4000000000000000000000000008-88-82-40-24-242-400000000000000000000000000
χ378-88-8-4204-24-2-42000000000000000000000000008-88-8-4204-24-2-42000000000000000000000000008-88-8-4204-24-2-4200000000000000000000000000
χ388-8-882-402-4-24-24000000000000000000000000008-8-882-402-4-24-24000000000000000000000000008-8-882-402-4-24-2400000000000000000000000000
χ398-8-88-420-424-24-2000000000000000000000000008-8-88-420-424-24-2000000000000000000000000008-8-88-420-424-24-200000000000000000000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32
χ4211111111111111111111111111-1-1-1-1iiii−i−i−i−i-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i32
χ4311111111111111111111111111-1-1-1-1−i−i−i−iiiii-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i32
χ441111111111111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ451111111111111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ461111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32
χ471111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32
χ48222222-22222220-2-2-2-20000000022-2-2000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i301−i31−i31−i31−i300000000−1+i3−1+i31−i31−i3000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i301+i31+i31+i31+i300000000−1−i3−1−i31+i31+i3000000000
χ49222222-22222220-2-2-2-200000000-2-222000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i301−i31−i31−i31−i3000000001−i31−i3−1+i3−1+i3000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i301+i31+i31+i31+i3000000001+i31+i3−1−i3−1−i3000000000
χ502-22-2220-2-2-2-2220000000000000002i−2i1+i−1−i001−i−1+i000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i30000000000000002ζ7−2ζ7ζ7−ζ10−ζ7+ζ1000−ζ7−ζ10ζ7+ζ10000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i30000000000000002ζ11−2ζ11−ζ2+ζ11ζ2−ζ1100−ζ2−ζ11ζ2+ζ11000
χ512-22-2220-2-2-2-2220000000000000002i−2i−1−i1+i00−1+i1−i000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i30000000000000002ζ7−2ζ7−ζ7+ζ10ζ7−ζ1000ζ7+ζ10−ζ7−ζ10000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i30000000000000002ζ11−2ζ11ζ2−ζ11−ζ2+ζ1100ζ2+ζ11−ζ2−ζ11000
χ522-22-2220-2-2-2-222000000000000000−2i2i1−i−1+i001+i−1−i000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i3000000000000000−2ζ72ζ7−ζ7−ζ10ζ7+ζ1000ζ7−ζ10−ζ7+ζ10000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i3000000000000000−2ζ112ζ11−ζ2−ζ11ζ2+ζ1100−ζ2+ζ11ζ2−ζ11000
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χ861111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32
χ87222222-22222220-2-2-2-20000000022-2-2000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i301+i31+i31+i31+i300000000−1−i3−1−i31+i31+i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i301−i31−i31−i31−i300000000−1+i3−1+i31−i31−i3000000000
χ88222222-22222220-2-2-2-200000000-2-222000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i301+i31+i31+i31+i3000000001+i31+i3−1−i3−1−i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i301−i31−i31−i31−i3000000001−i31−i3−1+i3−1+i3000000000
χ892-22-2220-2-2-2-2220000000000000002i−2i1+i−1−i001−i−1+i000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i30000000000000002ζ11−2ζ11−ζ2+ζ11ζ2−ζ1100−ζ2−ζ11ζ2+ζ11000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i30000000000000002ζ7−2ζ7ζ7−ζ10−ζ7+ζ1000−ζ7−ζ10ζ7+ζ10000
χ902-22-2220-2-2-2-2220000000000000002i−2i−1−i1+i00−1+i1−i000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i30000000000000002ζ11−2ζ11ζ2−ζ11−ζ2+ζ1100ζ2+ζ11−ζ2−ζ11000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i30000000000000002ζ7−2ζ7−ζ7+ζ10ζ7−ζ1000ζ7+ζ10−ζ7−ζ10000
χ912-22-2220-2-2-2-222000000000000000−2i2i1−i−1+i001+i−1−i000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i3000000000000000−2ζ112ζ11−ζ2−ζ11ζ2+ζ1100−ζ2+ζ11ζ2−ζ11000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i3000000000000000−2ζ72ζ7−ζ7−ζ10ζ7+ζ1000ζ7−ζ10−ζ7+ζ10000
χ922-22-2220-2-2-2-222000000000000000−2i2i−1+i1−i00−1−i1+i000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i3000000000000000−2ζ112ζ11ζ2+ζ11−ζ2−ζ1100ζ2−ζ11−ζ2+ζ11000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i3000000000000000−2ζ72ζ7ζ7+ζ10−ζ7−ζ1000−ζ7+ζ10ζ7−ζ10000
χ932-2-2222022-2-2-2-200000000000002i−2i00001−i−1+i001+i−1−i0−1−i31+i31+i3−1−i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300000000000002ζ11−2ζ110000−ζ2−ζ11ζ2+ζ1100−ζ2+ζ11ζ2−ζ110−1+i31−i31−i3−1+i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300000000000002ζ7−2ζ70000−ζ7−ζ10ζ7+ζ1000ζ7−ζ10−ζ7+ζ100
χ942-2-2222022-2-2-2-200000000000002i−2i0000−1+i1−i00−1−i1+i0−1−i31+i31+i3−1−i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300000000000002ζ11−2ζ110000ζ2+ζ11−ζ2−ζ1100ζ2−ζ11−ζ2+ζ110−1+i31−i31−i3−1+i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300000000000002ζ7−2ζ70000ζ7+ζ10−ζ7−ζ1000−ζ7+ζ10ζ7−ζ100
χ952-2-2222022-2-2-2-20000000000000−2i2i00001+i−1−i001−i−1+i0−1−i31+i31+i3−1−i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000−2ζ112ζ110000−ζ2+ζ11ζ2−ζ1100−ζ2−ζ11ζ2+ζ110−1+i31−i31−i3−1+i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000−2ζ72ζ70000ζ7−ζ10−ζ7+ζ1000−ζ7−ζ10ζ7+ζ100
χ962-2-2222022-2-2-2-20000000000000−2i2i0000−1−i1+i00−1+i1−i0−1−i31+i31+i3−1−i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000−2ζ112ζ110000ζ2−ζ11−ζ2+ζ1100ζ2+ζ11−ζ2−ζ110−1+i31−i31−i3−1+i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000−2ζ72ζ70000−ζ7+ζ10ζ7−ζ1000ζ7+ζ10−ζ7−ζ100
χ9744441-241-21-21-2411-2-21111-2-2-2-20000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−2−2i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i30000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−2+2i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i30000000000000
χ9844441-241-21-21-2-411-2-2-1-1-1-122220000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i32+2i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i30000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i32−2i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i30000000000000
χ9944441-2-41-21-21-20-1-12233-3-300000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i3−1−i321+i301+i321+i32−1−i3−1−i3−3−3i32−3−3i323+3i323+3i3200000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i3−1+i321−i3−1+i321−i301−i321−i32−1+i3−1+i3−3+3i32−3+3i323−3i323−3i3200000000000000000
χ10044441-2-41-21-21-20-1-122-3-33300000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i3−1−i321+i301+i321+i32−1−i3−1−i33+3i323+3i32−3−3i32−3−3i3200000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i3−1+i321−i3−1+i321−i301−i321−i32−1+i3−1+i33−3i323−3i32−3+3i32−3+3i3200000000000000000
χ1014444-214-21-21-214-2-211-2-2-2-211110000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32−2−2i31+i31+i3−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32−2+2i31−i31−i3−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000000000000
χ1024444-214-21-21-21-4-2-2112222-1-1-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i321+i3−1−i322+2i31+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i321−i3−1+i322−2i31−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000000000000
χ1034444-21-4-21-21-21022-1-1000033-3-30000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i321+i3−1−i320−1−i3−1−i31+i321+i320000−3−3i32−3−3i323+3i323+3i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i321−i3−1+i321−i3−1+i320−1+i3−1+i31−i321−i320000−3+3i32−3+3i323−3i323−3i320000000000000
χ1044444-21-4-21-21-21022-1-10000-3-3330000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i321+i3−1−i320−1−i3−1−i31+i321+i3200003+3i323+3i32−3−3i32−3−3i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i321−i3−1+i321−i3−1+i320−1+i3−1+i31−i321−i3200003−3i323−3i32−3+3i32−3+3i320000000000000
χ10544-4-41-20-121-2-1203-3003−33−30023−230000000000000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i30−3−3i323+3i32002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11004ζ7+2ζ11−4ζ7−2ζ110000000000000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i31−i32−1+i30−3+3i323−3i3200−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100−2ζ7−4ζ112ζ7+4ζ110000000000000
χ10644-4-41-20-121-2-1203-300−33−3300−23230000000000000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i30−3−3i323+3i3200−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100−4ζ7−2ζ114ζ7+2ζ110000000000000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i31−i32−1+i30−3+3i323−3i3200ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11002ζ7+4ζ11−2ζ7−4ζ110000000000000
χ10744-4-41-20-121-2-120-33003−3−3323−23000000000000000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i303+3i32−3−3i32002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i31−i32−1+i303−3i32−3+3i3200−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000
χ10844-4-41-20-121-2-120-3300−333−3−2323000000000000000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i303+3i32−3−3i3200−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i31−i32−1+i303−3i32−3+3i3200ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000
χ10944-4-4440-4-444-4-400000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i302+2i32+2i3−2−2i3−2−2i32+2i32+2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i302−2i32−2i3−2+2i3−2+2i32−2i32−2i300000000000000000000000000
χ11044-4-4-2102-1-212-10003-30023−233−3−330000000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i3−1−i32−1−i31+i32000−3−3i323+3i32004ζ7+2ζ11−4ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i3−1+i32−1+i31−i32000−3+3i323−3i3200−2ζ7−4ζ112ζ7+4ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000000000000
χ11144-4-4-2102-1-212-10003-300−2323−333−30000000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i3−1−i32−1−i31+i32000−3−3i323+3i3200−4ζ7−2ζ114ζ7+2ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i3−1+i32−1+i31−i32000−3+3i323−3i32002ζ7+4ζ11−2ζ7−4ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000000000000
χ11244-4-4-2102-1-212-1000-3323−2300−33−330000000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i3−1−i32−1−i31+i320003+3i32−3−3i324ζ7+2ζ11−4ζ7−2ζ1100−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i3−1+i32−1+i31−i320003−3i32−3+3i32−2ζ7−4ζ112ζ7+4ζ1100ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000000000000
χ11344-4-4-2102-1-212-1000-33−2323003−33−30000000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i3−1−i32−1−i31+i320003+3i32−3−3i32−4ζ7−2ζ114ζ7+2ζ11002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i3−1+i32−1+i31−i320003−3i32−3+3i322ζ7+4ζ11−2ζ7−4ζ1100−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000000000000
χ1148-88-82-40-24-242-400000000000000000000000000−4−4i34+4i3−4−4i34+4i3−1−i32+2i301+i3−2−2i31+i3−2−2i3−1−i32+2i300000000000000000000000000−4+4i34−4i3−4+4i34−4i3−1+i32−2i301−i3−2+2i31−i3−2+2i3−1+i32−2i300000000000000000000000000
χ1158-88-8-4204-24-2-4200000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i30−2−2i31+i3−2−2i31+i32+2i3−1−i300000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i30−2+2i31−i3−2+2i31−i32−2i3−1+i300000000000000000000000000
χ1168-8-882-402-4-24-2400000000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i30−1−i32+2i31+i3−2−2i31+i3−2−2i300000000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i30−1+i32−2i31−i3−2+2i31−i3−2+2i300000000000000000000000000
χ1178-8-88-420-424-24-200000000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i3−1−i302+2i3−1−i3−2−2i31+i3−2−2i31+i300000000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i3−1+i302−2i3−1+i3−2+2i31−i3−2+2i31−i300000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.