Finite Group Databasebeta

← Group #13166866

Character table — Group #13166866

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122444444444444881212121212121212121212121212121218181818242424243636363611112244444444444488121212121212121212121212121212121818181824242424363636361111224444444444448812121212121212121212121212121212181818182424242436363636
order12222233666666666666444444441212121212121212444412121212888836666633666666666666121212121212121212121212121212121212121212121212242424243666663366666666666612121212121212121212121212121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111-1-111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11-1-1111-1-111-1-11111-1-111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11-1-1111-1-111-1-11111-1-111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11-1-1111-1-111-1-1
χ61111-1-111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-1111111-1-111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-1111111-1-111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ71111-1-111111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-11-1-11-1-111-1-1111111-1-111111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-11-1-11-1-111-1-1111111-1-111111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-11-1-11-1-111-1-111
χ81111-1-111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-111111-1-11-1-11111-1-11111-1-111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-111111-1-11-1-11111-1-11111-1-111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-111111-1-11-1-11111-1-1
χ91-1-111-1111-1-111-1-1-1-111-1i−ii−i1-11-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-111-1111-1-111-1-1-1-111-1i−ii−i1-11-111-1-111-1-111-1-1i−ii−ii−ii−i1-1-111-1111-1-111-1-1-1-111-1i−ii−i1-11-111-1-111-1-111-1-1i−ii−ii−ii−i
χ101-1-111-1111-1-111-1-1-1-111-1i−ii−i-11-11-1-111-1-11111-1-1i−ii−i−ii−ii1-1-111-1111-1-111-1-1-1-111-1i−ii−i-11-11-1-111-1-11111-1-1i−ii−i−ii−ii1-1-111-1111-1-111-1-1-1-111-1i−ii−i-11-11-1-111-1-11111-1-1i−ii−i−ii−ii
χ111-1-111-1111-1-111-1-1-1-111-1−ii−ii1-11-111-1-111-1-111-1-1−ii−ii−ii−ii1-1-111-1111-1-111-1-1-1-111-1−ii−ii1-11-111-1-111-1-111-1-1−ii−ii−ii−ii1-1-111-1111-1-111-1-1-1-111-1−ii−ii1-11-111-1-111-1-111-1-1−ii−ii−ii−ii
χ121-1-111-1111-1-111-1-1-1-111-1−ii−ii-11-11-1-111-1-11111-1-1−ii−iii−ii−i1-1-111-1111-1-111-1-1-1-111-1−ii−ii-11-11-1-111-1-11111-1-1−ii−iii−ii−i1-1-111-1111-1-111-1-1-1-111-1−ii−ii-11-11-1-111-1-11111-1-1−ii−iii−ii−i
χ131-1-11-11111-1-1-1-111-1-11-11i−i−ii1-1-1111-1-1-1-1111-11-1i−i−iii−i−ii1-1-11-11111-1-1-1-111-1-11-11i−i−ii1-1-1111-1-1-1-1111-11-1i−i−iii−i−ii1-1-11-11111-1-1-1-111-1-11-11i−i−ii1-1-1111-1-1-1-1111-11-1i−i−iii−i−ii
χ141-1-11-11111-1-1-1-111-1-11-11i−i−ii-111-1-1-11111-1-11-11-1i−i−ii−iii−i1-1-11-11111-1-1-1-111-1-11-11i−i−ii-111-1-1-11111-1-11-11-1i−i−ii−iii−i1-1-11-11111-1-1-1-111-1-11-11i−i−ii-111-1-1-11111-1-11-11-1i−i−ii−iii−i
χ151-1-11-11111-1-1-1-111-1-11-11−iii−i1-1-1111-1-1-1-1111-11-1−iii−i−iii−i1-1-11-11111-1-1-1-111-1-11-11−iii−i1-1-1111-1-1-1-1111-11-1−iii−i−iii−i1-1-11-11111-1-1-1-111-1-11-11−iii−i1-1-1111-1-1-1-1111-11-1−iii−i−iii−i
χ161-1-11-11111-1-1-1-111-1-11-11−iii−i-111-1-1-11111-1-11-11-1−iii−ii−i−ii1-1-11-11111-1-1-1-111-1-11-11−iii−i-111-1-1-11111-1-11-11-1−iii−ii−i−ii1-1-11-11111-1-1-1-111-1-11-11−iii−i-111-1-1-11111-1-11-11-1−iii−ii−i−ii
χ17222222222222222222220000000000000000-2-2-2-200000000222222222222222222220000000000000000-2-2-2-200000000222222222222222222220000000000000000-2-2-2-200000000
χ182222-2-222222-2-2-2-2222-2-20000000000000000-222-2000000002222-2-222222-2-2-2-2222-2-20000000000000000-222-2000000002222-2-222222-2-2-2-2222-2-20000000000000000-222-200000000
χ192-2-222-2222-2-222-2-2-2-222-20000000000000000-2-222000000002-2-222-2222-2-222-2-2-2-222-20000000000000000-2-222000000002-2-222-2222-2-222-2-2-2-222-20000000000000000-2-22200000000
χ202-2-22-22222-2-2-2-222-2-22-220000000000000000-22-22000000002-2-22-22222-2-2-2-222-2-22-220000000000000000-22-22000000002-2-22-22222-2-2-2-222-2-22-220000000000000000-22-2200000000
χ214444441-21-2-2-2-2-2-211-21122220000000000000000-1-1-1-100004444441-21-2-2-2-2-2-211-21122220000000000000000-1-1-1-100004444441-21-2-2-2-2-2-211-21122220000000000000000-1-1-1-10000
χ224444441-21-2-2-2-2-2-211-211-2-2-2-20000000000000000111100004444441-21-2-2-2-2-2-211-211-2-2-2-20000000000000000111100004444441-21-2-2-2-2-2-211-211-2-2-2-2000000000000000011110000
χ23444444-21-2111111-2-21-2-200002222-1-1-1-1-1-1-1-1000000000000444444-21-2111111-2-21-2-200002222-1-1-1-1-1-1-1-1000000000000444444-21-2111111-2-21-2-200002222-1-1-1-1-1-1-1-1000000000000
χ24444444-21-2111111-2-21-2-20000-2-2-2-211111111000000000000444444-21-2111111-2-21-2-20000-2-2-2-211111111000000000000444444-21-2111111-2-21-2-20000-2-2-2-211111111000000000000
χ254444-4-41-21-2-2222211-2-1-122-2-20000000000000000-1-11100004444-4-41-21-2-2222211-2-1-122-2-20000000000000000-1-11100004444-4-41-21-2-2222211-2-1-122-2-20000000000000000-1-1110000
χ264444-4-41-21-2-2222211-2-1-1-2-222000000000000000011-1-100004444-4-41-21-2-2222211-2-1-1-2-222000000000000000011-1-100004444-4-41-21-2-2222211-2-1-1-2-222000000000000000011-1-10000
χ274444-4-4-21-211-1-1-1-1-2-2122000022-2-2-1-1-1-111110000000000004444-4-4-21-211-1-1-1-1-2-2122000022-2-2-1-1-1-111110000000000004444-4-4-21-211-1-1-1-1-2-2122000022-2-2-1-1-1-11111000000000000
χ284444-4-4-21-211-1-1-1-1-2-21220000-2-2221111-1-1-1-10000000000004444-4-4-21-211-1-1-1-1-2-21220000-2-2221111-1-1-1-10000000000004444-4-4-21-211-1-1-1-1-2-21220000-2-2221111-1-1-1-1000000000000
χ2944-4-40044-44-400004-4-400000000000000000000000000000044-4-40044-44-400004-4-400000000000000000000000000000044-4-40044-44-400004-4-4000000000000000000000000000000
χ3044-4-400-2121-13-33-3-22-100000000003−33−33−33−300000000000044-4-400-2121-13-33-3-22-100000000003−33−33−33−300000000000044-4-400-2121-13-33-3-22-100000000003−33−33−33−3000000000000
χ3144-4-400-2121-13-33-3-22-10000000000−33−33−33−3300000000000044-4-400-2121-13-33-3-22-10000000000−33−33−33−3300000000000044-4-400-2121-13-33-3-22-10000000000−33−33−33−33000000000000
χ3244-4-400-2121-1-33-33-22-100000000003−33−3−33−3300000000000044-4-400-2121-1-33-33-22-100000000003−33−3−33−3300000000000044-4-400-2121-1-33-33-22-100000000003−33−3−33−33000000000000
χ3344-4-400-2121-1-33-33-22-10000000000−33−333−33−300000000000044-4-400-2121-1-33-33-22-10000000000−33−333−33−300000000000044-4-400-2121-1-33-33-22-10000000000−33−333−33−3000000000000
χ344-44-40044-4-440000-44-40000000000000000000000000000004-44-40044-4-440000-44-40000000000000000000000000000004-44-40044-4-440000-44-4000000000000000000000000000000
χ354-44-400-212-113-3-332-2-100000000003−3−333−3−330000000000004-44-400-212-113-3-332-2-100000000003−3−333−3−330000000000004-44-400-212-113-3-332-2-100000000003−3−333−3−33000000000000
χ364-44-400-212-113-3-332-2-10000000000−333−3−333−30000000000004-44-400-212-113-3-332-2-10000000000−333−3−333−30000000000004-44-400-212-113-3-332-2-10000000000−333−3−333−3000000000000
χ374-44-400-212-11-333-32-2-100000000003−3−33−333−30000000000004-44-400-212-11-333-32-2-100000000003−3−33−333−30000000000004-44-400-212-11-333-32-2-100000000003−3−33−333−3000000000000
χ384-44-400-212-11-333-32-2-10000000000−333−33−3−330000000000004-44-400-212-11-333-32-2-10000000000−333−33−3−330000000000004-44-400-212-11-333-32-2-10000000000−333−33−3−33000000000000
χ394-4-444-41-2122-2-222-1-1-21-12i−2i2i−2i0000000000000000−ii−ii00004-4-444-41-2122-2-222-1-1-21-12i−2i2i−2i0000000000000000−ii−ii00004-4-444-41-2122-2-222-1-1-21-12i−2i2i−2i0000000000000000−ii−ii0000
χ404-4-444-41-2122-2-222-1-1-21-1−2i2i−2i2i0000000000000000i−ii−i00004-4-444-41-2122-2-222-1-1-21-1−2i2i−2i2i0000000000000000i−ii−i00004-4-444-41-2122-2-222-1-1-21-1−2i2i−2i2i0000000000000000i−ii−i0000
χ414-4-444-4-21-2-1-111-1-1221-2200002-22-2-1-111-1-1110000000000004-4-444-4-21-2-1-111-1-1221-2200002-22-2-1-111-1-1110000000000004-4-444-4-21-2-1-111-1-1221-2200002-22-2-1-111-1-111000000000000
χ424-4-444-4-21-2-1-111-1-1221-220000-22-2211-1-111-1-10000000000004-4-444-4-21-2-1-111-1-1221-220000-22-2211-1-111-1-10000000000004-4-444-4-21-2-1-111-1-1221-220000-22-2211-1-111-1-1000000000000
χ434-4-44-441-212222-2-2-1-1-2-112i−2i−2i2i0000000000000000−iii−i00004-4-44-441-212222-2-2-1-1-2-112i−2i−2i2i0000000000000000−iii−i00004-4-44-441-212222-2-2-1-1-2-112i−2i−2i2i0000000000000000−iii−i0000
χ444-4-44-441-212222-2-2-1-1-2-11−2i2i2i−2i0000000000000000i−i−ii00004-4-44-441-212222-2-2-1-1-2-11−2i2i2i−2i0000000000000000i−i−ii00004-4-44-441-212222-2-2-1-1-2-11−2i2i2i−2i0000000000000000i−i−ii0000
χ454-4-44-44-21-2-1-1-1-1112212-200002-2-22-1-11111-1-10000000000004-4-44-44-21-2-1-1-1-1112212-200002-2-22-1-11111-1-10000000000004-4-44-44-21-2-1-1-1-1112212-200002-2-22-1-11111-1-1000000000000
χ464-4-44-44-21-2-1-1-1-1112212-20000-222-211-1-1-1-1110000000000004-4-44-44-21-2-1-1-1-1112212-20000-222-211-1-1-1-1110000000000004-4-44-44-21-2-1-1-1-1112212-20000-222-211-1-1-1-111000000000000
χ4788-8-8002-4-2-4400002-2400000000000000000000000000000088-8-8002-4-2-4400002-2400000000000000000000000000000088-8-8002-4-2-4400002-24000000000000000000000000000000
χ488-88-8002-4-24-40000-2240000000000000000000000000000008-88-8002-4-24-40000-2240000000000000000000000000000008-88-8002-4-24-40000-224000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111−1+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−i32−1−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
χ50111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ5111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ5211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−1+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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ531111-1-111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11-1-1111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ541111-1-111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ551111-1-111111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-11-1-11-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ561111-1-111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-111111-1-11-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ571-1-111-1111-1-111-1-1-1-111-1i−ii−i1-11-111-1-111-1-111-1-1i−ii−ii−ii−i−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ581-1-111-1111-1-111-1-1-1-111-1i−ii−i-11-11-1-111-1-11111-1-1i−ii−i−ii−ii−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11
χ591-1-111-1111-1-111-1-1-1-111-1−ii−ii1-11-111-1-111-1-111-1-1−ii−ii−ii−ii−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ601-1-111-1111-1-111-1-1-1-111-1−ii−ii-11-11-1-111-1-11111-1-1−ii−iii−ii−i−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11
χ611-1-11-11111-1-1-1-111-1-11-11i−i−ii1-1-1111-1-1-1-1111-11-1i−i−iii−i−ii−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11
χ621-1-11-11111-1-1-1-111-1-11-11i−i−ii-111-1-1-11111-1-11-11-1i−i−ii−iii−i−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11
χ631-1-11-11111-1-1-1-111-1-11-11−iii−i1-1-1111-1-1-1-1111-11-1−iii−i−iii−i−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11
χ641-1-11-11111-1-1-1-111-1-11-11−iii−i-111-1-1-11111-1-11-11-1−iii−ii−i−ii−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11
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χ10011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−1−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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1011111-1-111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11-1-1111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ1021111-1-111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ1031111-1-111111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-11-1-11-1-111-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ1041111-1-111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-111111-1-11-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1051-1-111-1111-1-111-1-1-1-111-1i−ii−i1-11-111-1-111-1-111-1-1i−ii−ii−ii−i−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ1061-1-111-1111-1-111-1-1-1-111-1i−ii−i-11-11-1-111-1-11111-1-1i−ii−i−ii−ii−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ1071-1-111-1111-1-111-1-1-1-111-1−ii−ii1-11-111-1-111-1-111-1-1−ii−ii−ii−ii−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ1081-1-111-1111-1-111-1-1-1-111-1−ii−ii-11-11-1-111-1-11111-1-1−ii−iii−ii−i−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7
χ1091-1-11-11111-1-1-1-111-1-11-11i−i−ii1-1-1111-1-1-1-1111-11-1i−i−iii−i−ii−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7
χ1101-1-11-11111-1-1-1-111-1-11-11i−i−ii-111-1-1-11111-1-11-11-1i−i−ii−iii−i−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7
χ1111-1-11-11111-1-1-1-111-1-11-11−iii−i1-1-1111-1-1-1-1111-11-1−iii−i−iii−i−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ1121-1-11-11111-1-1-1-111-1-11-11−iii−i-111-1-1-11111-1-11-11-1−iii−ii−i−ii−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7
χ113222222222222222222220000000000000000-2-2-2-200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300000000000000001+i31+i31+i31+i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300000000000000001−i31−i31−i31−i300000000
χ1142222-2-222222-2-2-2-2222-2-20000000000000000-222-200000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i300000000000000001+i3−1−i3−1−i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i300000000000000001−i3−1+i3−1+i31−i300000000
χ1152-2-222-2222-2-222-2-2-2-222-20000000000000000-2-22200000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i300000000000000001+i31+i3−1−i3−1−i300000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i300000000000000001−i31−i3−1+i3−1+i300000000
χ1162-2-22-22222-2-2-2-222-2-22-220000000000000000-22-2200000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i300000000000000001+i3−1−i31+i3−1−i300000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i300000000000000001−i3−1+i31−i3−1+i300000000
χ1174444441-21-2-2-2-2-2-211-21122220000000000000000-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i31+i31+i31+i31+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i300000000000000001+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i31−i31−i31−i31−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i300000000000000001−i321−i321−i321−i320000
χ1184444441-21-2-2-2-2-2-211-211-2-2-2-2000000000000000011110000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i31+i31+i31+i31+i3−1−i32−1−i321+i3−1−i32−1−i321+i31+i31+i31+i30000000000000000−1−i32−1−i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i31−i31−i31−i31−i3−1+i32−1+i321−i3−1+i32−1+i321−i31−i31−i31−i30000000000000000−1+i32−1+i32−1+i32−1+i320000
χ119444444-21-2111111-2-21-2-200002222-1-1-1-1-1-1-1-1000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i321+i31+i30000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i321−i31−i30000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ120444444-21-2111111-2-21-2-20000-2-2-2-211111111000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i321+i31+i300001+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i321−i31−i300001−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ1214444-4-41-21-2-2222211-2-1-122-2-20000000000000000-1-1110000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i32−1−i321+i31+i321+i32−1−i3−1−i31+i31+i300000000000000001+i321+i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i32−1+i321−i31−i321−i32−1+i3−1+i31−i31−i300000000000000001−i321−i32−1+i32−1+i320000
χ1224444-4-41-21-2-2222211-2-1-1-2-222000000000000000011-1-10000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i32−1−i321+i31+i321+i321+i31+i3−1−i3−1−i30000000000000000−1−i32−1−i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i32−1+i321−i31−i321−i321−i31−i3−1+i3−1+i30000000000000000−1+i32−1+i321−i321−i320000
χ1234444-4-4-21-211-1-1-1-1-2-2122000022-2-2-1-1-1-11111000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i321+i321+i321+i321+i31+i3−1−i32−1−i3−1−i30000−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i321−i321−i321−i321−i321−i31−i3−1+i32−1+i3−1+i30000−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ1244444-4-4-21-211-1-1-1-1-2-21220000-2-2221111-1-1-1-1000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i321+i321+i321+i321+i31+i3−1−i32−1−i3−1−i300001+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i321−i321−i321−i321−i321−i31−i3−1+i32−1+i3−1+i300001−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
χ12544-4-40044-44-400004-4-4000000000000000000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i3−2−2i32+2i3−2−2i32+2i30000−2−2i32+2i32+2i3000000000000000000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i3−2+2i32−2i3−2+2i32−2i30000−2+2i32−2i32−2i3000000000000000000000000000000
χ12644-4-400-2121-13-33-3-22-100000000003−33−33−33−3000000000000−2−2i3−2−2i32+2i32+2i3001+i3−1−i32−1−i3−1−i321+i32−3−3i323+3i32−3−3i323+3i321+i3−1−i31+i3200000000002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000000000−2+2i3−2+2i32−2i32−2i3001−i3−1+i32−1+i3−1+i321−i32−3+3i323−3i32−3+3i323−3i321−i3−1+i31−i320000000000−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000
χ12744-4-400-2121-13-33-3-22-10000000000−33−33−33−33000000000000−2−2i3−2−2i32+2i32+2i3001+i3−1−i32−1−i3−1−i321+i32−3−3i323+3i32−3−3i323+3i321+i3−1−i31+i320000000000−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000000000−2+2i3−2+2i32−2i32−2i3001−i3−1+i32−1+i3−1+i321−i32−3+3i323−3i32−3+3i323−3i321−i3−1+i31−i320000000000ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000
χ12844-4-400-2121-1-33-33-22-100000000003−33−3−33−33000000000000−2−2i3−2−2i32+2i32+2i3001+i3−1−i32−1−i3−1−i321+i323+3i32−3−3i323+3i32−3−3i321+i3−1−i31+i3200000000002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000000000−2+2i3−2+2i32−2i32−2i3001−i3−1+i32−1+i3−1+i321−i323−3i32−3+3i323−3i32−3+3i321−i3−1+i31−i320000000000−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000
χ12944-4-400-2121-1-33-33-22-10000000000−33−333−33−3000000000000−2−2i3−2−2i32+2i32+2i3001+i3−1−i32−1−i3−1−i321+i323+3i32−3−3i323+3i32−3−3i321+i3−1−i31+i320000000000−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000000000−2+2i3−2+2i32−2i32−2i3001−i3−1+i32−1+i3−1+i321−i323−3i32−3+3i323−3i32−3+3i321−i3−1+i31−i320000000000ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000
χ1304-44-40044-4-440000-44-4000000000000000000000000000000−2−2i32+2i3−2−2i32+2i300−2−2i3−2−2i32+2i32+2i3−2−2i300002+2i3−2−2i32+2i3000000000000000000000000000000−2+2i32−2i3−2+2i32−2i300−2+2i3−2+2i32−2i32−2i3−2+2i300002−2i3−2+2i32−2i3000000000000000000000000000000
χ1314-44-400-212-113-3-332-2-100000000003−3−333−3−33000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i32−1−i31+i32−1−i32−3−3i323+3i323+3i32−3−3i32−1−i31+i31+i3200000000002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i32−1+i31−i32−1+i32−3+3i323−3i323−3i32−3+3i32−1+i31−i31−i320000000000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000
χ1324-44-400-212-113-3-332-2-10000000000−333−3−333−3000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i32−1−i31+i32−1−i32−3−3i323+3i323+3i32−3−3i32−1−i31+i31+i320000000000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i32−1+i31−i32−1+i32−3+3i323−3i323−3i32−3+3i32−1+i31−i31−i320000000000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000
χ1334-44-400-212-11-333-32-2-100000000003−3−33−333−3000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i32−1−i31+i32−1−i323+3i32−3−3i32−3−3i323+3i32−1−i31+i31+i3200000000002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i32−1+i31−i32−1+i323−3i32−3+3i32−3+3i323−3i32−1+i31−i31−i320000000000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000
χ1344-44-400-212-11-333-32-2-10000000000−333−33−3−33000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i32−1−i31+i32−1−i323+3i32−3−3i32−3−3i323+3i32−1−i31+i31+i320000000000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i32−1+i31−i32−1+i323−3i32−3+3i32−3+3i323−3i32−1+i31−i31−i320000000000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000
χ1354-4-444-41-2122-2-222-1-1-21-12i−2i2i−2i0000000000000000−ii−ii0000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i32−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i3−1−i321+i322ζ11−2ζ112ζ11−2ζ110000000000000000−ζ11ζ11−ζ11ζ110000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i32−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i3−1+i321−i322ζ7−2ζ72ζ7−2ζ70000000000000000−ζ7ζ7−ζ7ζ70000
χ1364-4-444-41-2122-2-222-1-1-21-1−2i2i−2i2i0000000000000000i−ii−i0000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i32−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i3−1−i321+i32−2ζ112ζ11−2ζ112ζ110000000000000000ζ11−ζ11ζ11−ζ110000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i32−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i3−1+i321−i32−2ζ72ζ7−2ζ72ζ70000000000000000ζ7−ζ7ζ7−ζ70000
χ1374-4-444-4-21-2-1-111-1-1221-2200002-22-2-1-111-1-111000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i31+i3−1−i321+i31+i321+i32−1−i32−1−i321+i321+i32−1−i3−1−i3−1−i321+i3−1−i30000−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i31−i3−1+i321−i31−i321−i32−1+i32−1+i321−i321−i32−1+i3−1+i3−1+i321−i3−1+i30000−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000000000000
χ1384-4-444-4-21-2-1-111-1-1221-220000-22-2211-1-111-1-1000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i31+i3−1−i321+i31+i321+i32−1−i32−1−i321+i321+i32−1−i3−1−i3−1−i321+i3−1−i300001+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i31−i3−1+i321−i31−i321−i32−1+i32−1+i321−i321−i32−1+i3−1+i3−1+i321−i3−1+i300001−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32000000000000
χ1394-4-44-441-212222-2-2-1-1-2-112i−2i−2i2i0000000000000000−iii−i0000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−1−i321+i3−1−i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i31+i32−1−i322ζ11−2ζ11−2ζ112ζ110000000000000000−ζ11ζ11ζ11−ζ110000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−1+i321−i3−1+i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i31−i32−1+i322ζ7−2ζ7−2ζ72ζ70000000000000000−ζ7ζ7ζ7−ζ70000
χ1404-4-44-441-212222-2-2-1-1-2-11−2i2i2i−2i0000000000000000i−i−ii0000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−1−i321+i3−1−i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i31+i32−1−i32−2ζ112ζ112ζ11−2ζ110000000000000000ζ11−ζ11−ζ11ζ110000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−1+i321−i3−1+i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i31−i32−1+i32−2ζ72ζ72ζ7−2ζ70000000000000000ζ7−ζ7−ζ7ζ70000
χ1414-4-44-44-21-2-1-1-1-1112212-200002-2-22-1-11111-1-1000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i3−1−i321+i31+i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i3−1−i32−1−i31+i30000−1−i31+i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i3−1+i321−i31−i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i3−1+i32−1+i31−i30000−1+i31−i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000000000
χ1424-4-44-44-21-2-1-1-1-1112212-20000-222-211-1-1-1-111000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i3−1−i321+i31+i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i3−1−i32−1−i31+i300001+i3−1−i3−1−i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i3−1+i321−i31−i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i3−1+i32−1+i31−i300001−i3−1+i3−1+i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000000000000
χ14388-8-8002-4-2-4400002-24000000000000000000000000000000−4−4i3−4−4i34+4i34+4i300−1−i32+2i31+i32+2i3−2−2i30000−1−i31+i3−2−2i3000000000000000000000000000000−4+4i3−4+4i34−4i34−4i300−1+i32−2i31−i32−2i3−2+2i30000−1+i31−i3−2+2i3000000000000000000000000000000
χ1448-88-8002-4-24-40000-224000000000000000000000000000000−4−4i34+4i3−4−4i34+4i300−1−i32+2i31+i3−2−2i32+2i300001+i3−1−i3−2−2i3000000000000000000000000000000−4+4i34−4i3−4+4i34−4i300−1+i32−2i31−i3−2+2i32−2i300001−i3−1+i3−2+2i3000000000000000000000000000000

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