Finite Group Databasebeta

← Group #10591812

Character table — Group #10591812

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222224444444444444444442424242411112222222222444444444444444444242424241111222222222244444444444444444424242424
order1222344666121212124488881212121224242424242424242444366631212666121212121212242424241212121224242424242424246121212366631212666121212121212242424241212121224242424242424246121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1
χ31111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ511111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1
χ611111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1
χ922222-2-2222-2-2-2-22-2000022-2-200000000000022222-2-2222-2-2-2-22-2000022-2-200000000000022222-2-2222-2-2-2-22-2000022-2-2000000000000
χ1022222-2-2222-2-2-2-2-220000-2-22200000000000022222-2-2222-2-2-2-2-220000-2-22200000000000022222-2-2222-2-2-2-2-220000-2-222000000000000
χ112222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000
χ122222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100002222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100002222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000
χ132222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100002222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100002222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000
χ142222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100002222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100002222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000
χ152222-1-2-2-1-1-111112-20000-1-11133−3−333−3−300002222-1-2-2-1-1-111112-20000-1-11133−3−333−3−300002222-1-2-2-1-1-111112-20000-1-11133−3−333−3−30000
χ162222-1-2-2-1-1-111112-20000-1-111−3−333−3−33300002222-1-2-2-1-1-111112-20000-1-111−3−333−3−33300002222-1-2-2-1-1-111112-20000-1-111−3−333−3−3330000
χ172222-1-2-2-1-1-11111-22000011-1-133−3−3−3−33300002222-1-2-2-1-1-11111-22000011-1-133−3−3−3−33300002222-1-2-2-1-1-11111-22000011-1-133−3−3−3−3330000
χ182222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−300002222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−300002222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−30000
χ192-2-2222-22-2-222-2-200002-2000000002-22-200002-2-2222-22-2-222-2-200002-2000000002-22-200002-2-2222-22-2-222-2-200002-2000000002-22-20000
χ202-2-2222-22-2-222-2-20000-2200000000-22-2200002-2-2222-22-2-222-2-20000-2200000000-22-2200002-2-2222-22-2-222-2-20000-2200000000-22-220000
χ212-2-222-222-2-2-2-222002-20000002-22-2000000002-2-222-222-2-2-2-222002-20000002-22-2000000002-2-222-222-2-2-2-222002-20000002-22-200000000
χ222-2-222-222-2-2-2-22200-22000000-22-22000000002-2-222-222-2-2-2-22200-22000000-22-22000000002-2-222-222-2-2-2-22200-22000000-22-2200000000
χ232-2-22-12-2-111-1-11100002-23−33−33−3−33-11-1100002-2-22-12-2-111-1-11100002-23−33−33−3−33-11-1100002-2-22-12-2-111-1-11100002-23−33−33−3−33-11-110000
χ242-2-22-12-2-111-1-11100002-2−33−33−333−3-11-1100002-2-22-12-2-111-1-11100002-2−33−33−333−3-11-1100002-2-22-12-2-111-1-11100002-2−33−33−333−3-11-110000
χ252-2-22-12-2-111-1-1110000-223−33−3−333−31-11-100002-2-22-12-2-111-1-1110000-223−33−3−333−31-11-100002-2-22-12-2-111-1-1110000-223−33−3−333−31-11-10000
χ262-2-22-12-2-111-1-1110000-22−33−333−3−331-11-100002-2-22-12-2-111-1-1110000-22−33−333−3−331-11-100002-2-22-12-2-111-1-1110000-22−33−333−3−331-11-10000
χ272-2-22-1-22-11111-1-1002-2003−3−33-11-11−333−300002-2-22-1-22-11111-1-1002-2003−3−33-11-11−333−300002-2-22-1-22-11111-1-1002-2003−3−33-11-11−333−30000
χ282-2-22-1-22-11111-1-1002-200−333−3-11-113−3−3300002-2-22-1-22-11111-1-1002-200−333−3-11-113−3−3300002-2-22-1-22-11111-1-1002-200−333−3-11-113−3−330000
χ292-2-22-1-22-11111-1-100-22003−3−331-11-13−3−3300002-2-22-1-22-11111-1-100-22003−3−331-11-13−3−3300002-2-22-1-22-11111-1-100-22003−3−331-11-13−3−330000
χ302-2-22-1-22-11111-1-100-2200−333−31-11-1−333−300002-2-22-1-22-11111-1-100-2200−333−31-11-1−333−300002-2-22-1-22-11111-1-100-2200−333−31-11-1−333−30000
χ3144-4-4400-44-40000000000000000000000000044-4-4400-44-40000000000000000000000000044-4-4400-44-400000000000000000000000000
χ3244-4-4-2002-2223−2323−23000000000000000000000044-4-4-2002-2223−2323−23000000000000000000000044-4-4-2002-2223−2323−230000000000000000000000
χ3344-4-4-2002-22−2323−2323000000000000000000000044-4-4-2002-22−2323−2323000000000000000000000044-4-4-2002-22−2323−23230000000000000000000000
χ344-44-4400-4-44000000000000000000000000004-44-4400-4-44000000000000000000000000004-44-4400-4-4400000000000000000000000000
χ354-44-4-20022-223−23−232300000000000000000000004-44-4-20022-223−23−232300000000000000000000004-44-4-20022-223−23−23230000000000000000000000
χ364-44-4-20022-2−232323−2300000000000000000000004-44-4-20022-2−232323−2300000000000000000000004-44-4-20022-2−232323−230000000000000000000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3811111111111111111111111111111111-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ391111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ401111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ4111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−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−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ4211111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ4311111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ4411111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ4522222-2-2222-2-2-2-22-2000022-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i30000−1+i3−1+i31−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i30000−1−i3−1−i31+i31+i3000000000000
χ4622222-2-2222-2-2-2-2-220000-2-222000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i300001−i31−i3−1+i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i300001+i31+i3−1−i3−1−i3000000000000
χ472222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000
χ482222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000
χ492222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ502222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ512222-1-2-2-1-1-111112-20000-1-11133−3−333−3−30000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i31−i300001−i321−i32−1+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i31+i300001+i321+i32−1−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000
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χ532222-1-2-2-1-1-11111-22000011-1-133−3−3−3−3330000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i30000−1+i32−1+i321−i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i30000−1−i32−1−i321+i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000
χ542222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−30000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i30000−1+i32−1+i321−i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i30000−1−i32−1−i321+i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000
χ552-2-2222-22-2-222-2-200002-2000000002-22-20000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−1+i31−i300000000−1+i31−i3−1+i31−i30000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−1−i31+i300000000−1−i31+i3−1−i31+i30000
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χ652-2-22-1-22-11111-1-100-22003−3−331-11-13−3−330000−1+i31−i31−i3−1+i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i32001−i3−1+i300−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i321−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i31+i31+i3−1−i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i32001+i3−1−i3002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i321+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000
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χ7811111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11−1−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ7911111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ8011111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ8122222-2-2222-2-2-2-22-2000022-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i30000−1−i3−1−i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i30000−1+i3−1+i31−i31−i3000000000000
χ8222222-2-2222-2-2-2-2-220000-2-222000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i300001+i31+i3−1−i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i300001−i31−i3−1+i3−1+i3000000000000
χ832222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000
χ842222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000
χ852222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ862222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000
χ872222-1-2-2-1-1-111112-20000-1-11133−3−333−3−30000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i31+i300001+i321+i32−1−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i31−i300001−i321−i32−1+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000
χ882222-1-2-2-1-1-111112-20000-1-111−3−333−3−3330000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i31+i300001+i321+i32−1−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i31−i300001−i321−i32−1+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000
χ892222-1-2-2-1-1-11111-22000011-1-133−3−3−3−3330000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i30000−1−i32−1−i321+i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i30000−1+i32−1+i321−i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000
χ902222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−30000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i30000−1−i32−1−i321+i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i30000−1+i32−1+i321−i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000
χ912-2-2222-22-2-222-2-200002-2000000002-22-20000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−1−i31+i300000000−1−i31+i3−1−i31+i30000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−1+i31−i300000000−1+i31−i3−1+i31−i30000
χ922-2-2222-22-2-222-2-20000-2200000000-22-220000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i300001+i3−1−i3000000001+i3−1−i31+i3−1−i30000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i300001−i3−1+i3000000001−i3−1+i31−i3−1+i30000
χ932-2-222-222-2-2-2-222002-20000002-22-200000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300−1−i31+i3000000−1−i31+i3−1−i31+i300000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300−1+i31−i3000000−1+i31−i3−1+i31−i300000000
χ942-2-222-222-2-2-2-22200-22000000-22-2200000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3001+i3−1−i30000001+i3−1−i31+i3−1−i300000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3001−i3−1+i30000001−i3−1+i31−i3−1+i300000000
χ952-2-22-12-2-111-1-11100002-23−33−33−3−33-11-110000−1−i31+i31+i3−1−i31+i32−1−i31+i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000−1−i31+i32ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ111+i32−1−i321+i32−1−i320000−1+i31−i31−i3−1+i31−i32−1+i31−i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000−1+i31−i3−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ111−i32−1+i321−i32−1+i320000
χ962-2-22-12-2-111-1-11100002-2−33−33−333−3-11-110000−1−i31+i31+i3−1−i31+i32−1−i31+i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000−1−i31+i3−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ111+i32−1−i321+i32−1−i320000−1+i31−i31−i3−1+i31−i32−1+i31−i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000−1+i31−i3ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ111−i32−1+i321−i32−1+i320000
χ972-2-22-12-2-111-1-1110000-223−33−3−333−31-11-10000−1−i31+i31+i3−1−i31+i32−1−i31+i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200001+i3−1−i32ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−1−i321+i32−1−i321+i320000−1+i31−i31−i3−1+i31−i32−1+i31−i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200001−i3−1+i3−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−1+i321−i32−1+i321−i320000
χ982-2-22-12-2-111-1-1110000-22−33−333−3−331-11-10000−1−i31+i31+i3−1−i31+i32−1−i31+i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200001+i3−1−i3−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i321+i32−1−i321+i320000−1+i31−i31−i3−1+i31−i32−1+i31−i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200001−i3−1+i3ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i321−i32−1+i321−i320000
χ992-2-22-1-22-11111-1-1002-2003−3−33-11-11−333−30000−1−i31+i31+i3−1−i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200−1−i31+i3002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ111+i32−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000−1+i31−i31−i3−1+i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200−1+i31−i300−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ111−i32−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ1002-2-22-1-22-11111-1-1002-200−333−3-11-113−3−330000−1−i31+i31+i3−1−i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200−1−i31+i300−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ111+i32−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000−1+i31−i31−i3−1+i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200−1+i31−i300ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ111−i32−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000
χ1012-2-22-1-22-11111-1-100-22003−3−331-11-13−3−330000−1−i31+i31+i3−1−i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i32001+i3−1−i3002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i321+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000−1+i31−i31−i3−1+i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i32001−i3−1+i300−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i321−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000
χ1022-2-22-1-22-11111-1-100-2200−333−31-11-1−333−30000−1−i31+i31+i3−1−i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i32001+i3−1−i300−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−1−i321+i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000−1+i31−i31−i3−1+i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i32001−i3−1+i300ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−1+i321−i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ10344-4-4400-44-400000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3002+2i3−2−2i32+2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3002−2i3−2+2i32−2i300000000000000000000000000
χ10444-4-4-2002-2223−2323−230000000000000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i31+i3−1−i34ζ7+2ζ11−4ζ7−2ζ114ζ7+2ζ11−4ζ7−2ζ110000000000000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i31−i3−1+i3−2ζ7−4ζ112ζ7+4ζ11−2ζ7−4ζ112ζ7+4ζ110000000000000000000000
χ10544-4-4-2002-22−2323−23230000000000000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i31+i3−1−i3−4ζ7−2ζ114ζ7+2ζ11−4ζ7−2ζ114ζ7+2ζ110000000000000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i31−i3−1+i32ζ7+4ζ11−2ζ7−4ζ112ζ7+4ζ11−2ζ7−4ζ110000000000000000000000
χ1064-44-4400-4-4400000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i3002+2i32+2i3−2−2i300000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i3002−2i32−2i3−2+2i300000000000000000000000000
χ1074-44-4-20022-223−23−23230000000000000000000000−2−2i32+2i3−2−2i32+2i31+i300−1−i3−1−i31+i34ζ7+2ζ11−4ζ7−2ζ11−4ζ7−2ζ114ζ7+2ζ110000000000000000000000−2+2i32−2i3−2+2i32−2i31−i300−1+i3−1+i31−i3−2ζ7−4ζ112ζ7+4ζ112ζ7+4ζ11−2ζ7−4ζ110000000000000000000000
χ1084-44-4-20022-2−232323−230000000000000000000000−2−2i32+2i3−2−2i32+2i31+i300−1−i3−1−i31+i3−4ζ7−2ζ114ζ7+2ζ114ζ7+2ζ11−4ζ7−2ζ110000000000000000000000−2+2i32−2i3−2+2i32−2i31−i300−1+i3−1+i31−i32ζ7+4ζ11−2ζ7−4ζ11−2ζ7−4ζ112ζ7+4ζ110000000000000000000000

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