Finite Group Databasebeta

← Group #11795357

Character table — Group #11795357

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222224444448888888888888888881212121224242424242411112222222222444444888888888888888888121212122424242424241111222222222244444488888888888888888812121212242424242424
order12442223444612126661212128888882424242424242424242424242244888888361212666312121261212666121212242424242424242424242424242424242424661212242424242424361212666312121261212666121212242424242424242424242424242424242424661212242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ611111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ92222222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000002222222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000002222222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ102222222-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000002222222-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000002222222-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000
χ112222222-1222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000002222222-1222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000002222222-1222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000
χ122222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000002222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000002222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000
χ1322222-2-222-2-22222-2-2-2-2200002-20000000022-2-2000000000022222-2-222-2-22222-2-2-2-2200002-20000000022-2-2000000000022222-2-222-2-22222-2-2-2-2200002-20000000022-2-20000000000
χ1422222-2-222-2-22222-2-2-2-220000-2200000000-2-222000000000022222-2-222-2-22222-2-2-2-220000-2200000000-2-222000000000022222-2-222-2-22222-2-2-2-220000-2200000000-2-2220000000000
χ1522222-2-2-12-2-2-1-1-1-11111-100002-2−i3−i3i3i3−i3−i3i3i3-1-111000000000022222-2-2-12-2-2-1-1-1-11111-100002-2−i3−i3i3i3−i3−i3i3i3-1-111000000000022222-2-2-12-2-2-1-1-1-11111-100002-2−i3−i3i3i3−i3−i3i3i3-1-1110000000000
χ1622222-2-2-12-2-2-1-1-1-11111-100002-2i3i3−i3−i3i3i3−i3−i3-1-111000000000022222-2-2-12-2-2-1-1-1-11111-100002-2i3i3−i3−i3i3i3−i3−i3-1-111000000000022222-2-2-12-2-2-1-1-1-11111-100002-2i3i3−i3−i3i3i3−i3−i3-1-1110000000000
χ1722222-2-2-12-2-2-1-1-1-11111-10000-22−i3−i3i3i3i3i3−i3−i311-1-1000000000022222-2-2-12-2-2-1-1-1-11111-10000-22−i3−i3i3i3i3i3−i3−i311-1-1000000000022222-2-2-12-2-2-1-1-1-11111-10000-22−i3−i3i3i3i3i3−i3−i311-1-10000000000
χ1822222-2-2-12-2-2-1-1-1-11111-10000-22i3i3−i3−i3−i3−i3i3i311-1-1000000000022222-2-2-12-2-2-1-1-1-11111-10000-22i3i3−i3−i3−i3−i3i3i311-1-1000000000022222-2-2-12-2-2-1-1-1-11111-10000-22i3i3−i3−i3−i3−i3i3i311-1-10000000000
χ192222-22-22-22-2222-22-22-2-2000000000000000000000000002-22222-22-22-22-2222-22-22-2-2000000000000000000000000002-22222-22-22-22-2222-22-22-2-2000000000000000000000000002-2
χ202222-22-22-22-2222-22-22-2-200000000000000000000000000-222222-22-22-22-2222-22-22-2-200000000000000000000000000-222222-22-22-22-2222-22-22-2-200000000000000000000000000-22
χ212222-2-222-2-22222-2-22-22-20000000000000000000000002-2002222-2-222-2-22222-2-22-22-20000000000000000000000002-2002222-2-222-2-22222-2-22-22-20000000000000000000000002-200
χ222222-2-222-2-22222-2-22-22-2000000000000000000000000-22002222-2-222-2-22222-2-22-22-2000000000000000000000000-22002222-2-222-2-22222-2-22-22-2000000000000000000000000-2200
χ2322-2-22222-2-2-22-2-2222-2-2-200000000000000000022-2-200000022-2-22222-2-2-22-2-2222-2-2-200000000000000000022-2-200000022-2-22222-2-2-22-2-2222-2-2-200000000000000000022-2-2000000
χ2422-2-22222-2-2-22-2-2222-2-2-2000000000000000000-2-22200000022-2-22222-2-2-22-2-2222-2-2-2000000000000000000-2-22200000022-2-22222-2-2-22-2-2222-2-2-2000000000000000000-2-222000000
χ2522-2-22-2-22-2222-2-22-2-222-200000000000000000000002i−2i000022-2-22-2-22-2222-2-22-2-222-200000000000000000000002i−2i000022-2-22-2-22-2222-2-22-2-222-200000000000000000000002i−2i0000
χ2622-2-22-2-22-2222-2-22-2-222-20000000000000000000000−2i2i000022-2-22-2-22-2222-2-22-2-222-20000000000000000000000−2i2i000022-2-22-2-22-2222-2-22-2-222-20000000000000000000000−2i2i0000
χ2722-2-2-22-222-222-2-2-22-2-222002i−2i0000002i−2i2i−2i0000000000000022-2-2-22-222-222-2-2-22-2-222002i−2i0000002i−2i2i−2i0000000000000022-2-2-22-222-222-2-2-22-2-222002i−2i0000002i−2i2i−2i00000000000000
χ2822-2-2-22-222-222-2-2-22-2-22200−2i2i000000−2i2i−2i2i0000000000000022-2-2-22-222-222-2-2-22-2-22200−2i2i000000−2i2i−2i2i0000000000000022-2-2-22-222-222-2-2-22-2-22200−2i2i000000−2i2i−2i2i00000000000000
χ2922-2-2-22-2-12-22-1111-111-1-1002i−2i003−33−3−ii−ii−i3i3−i3i3000000000022-2-2-22-2-12-22-1111-111-1-1002i−2i003−33−3−ii−ii−i3i3−i3i3000000000022-2-2-22-2-12-22-1111-111-1-1002i−2i003−33−3−ii−ii−i3i3−i3i30000000000
χ3022-2-2-22-2-12-22-1111-111-1-1002i−2i00−33−33−ii−iii3−i3i3−i3000000000022-2-2-22-2-12-22-1111-111-1-1002i−2i00−33−33−ii−iii3−i3i3−i3000000000022-2-2-22-2-12-22-1111-111-1-1002i−2i00−33−33−ii−iii3−i3i3−i30000000000
χ3122-2-2-22-2-12-22-1111-111-1-100−2i2i003−33−3i−ii−ii3−i3i3−i3000000000022-2-2-22-2-12-22-1111-111-1-100−2i2i003−33−3i−ii−ii3−i3i3−i3000000000022-2-2-22-2-12-22-1111-111-1-100−2i2i003−33−3i−ii−ii3−i3i3−i30000000000
χ3222-2-2-22-2-12-22-1111-111-1-100−2i2i00−33−33i−ii−i−i3i3−i3i3000000000022-2-2-22-2-12-22-1111-111-1-100−2i2i00−33−33i−ii−i−i3i3−i3i3000000000022-2-2-22-2-12-22-1111-111-1-100−2i2i00−33−33i−ii−i−i3i3−i3i30000000000
χ3322-2-2-2-22222-22-2-2-2-222-222i−2i00002i−2i−2i2i00000000000000000022-2-2-2-22222-22-2-2-2-222-222i−2i00002i−2i−2i2i00000000000000000022-2-2-2-22222-22-2-2-2-222-222i−2i00002i−2i−2i2i000000000000000000
χ3422-2-2-2-22222-22-2-2-2-222-22−2i2i0000−2i2i2i−2i00000000000000000022-2-2-2-22222-22-2-2-2-222-22−2i2i0000−2i2i2i−2i00000000000000000022-2-2-2-22222-22-2-2-2-222-22−2i2i0000−2i2i2i−2i000000000000000000
χ3522-2-2-2-22-122-2-11111-1-11-12i−2i0000−iii−i3−3−33−i3i3i3−i3000000000022-2-2-2-22-122-2-11111-1-11-12i−2i0000−iii−i3−3−33−i3i3i3−i3000000000022-2-2-2-22-122-2-11111-1-11-12i−2i0000−iii−i3−3−33−i3i3i3−i30000000000
χ3622-2-2-2-22-122-2-11111-1-11-12i−2i0000−iii−i−333−3i3−i3−i3i3000000000022-2-2-2-22-122-2-11111-1-11-12i−2i0000−iii−i−333−3i3−i3−i3i3000000000022-2-2-2-22-122-2-11111-1-11-12i−2i0000−iii−i−333−3i3−i3−i3i30000000000
χ3722-2-2-2-22-122-2-11111-1-11-1−2i2i0000i−i−ii3−3−33i3−i3−i3i3000000000022-2-2-2-22-122-2-11111-1-11-1−2i2i0000i−i−ii3−3−33i3−i3−i3i3000000000022-2-2-2-22-122-2-11111-1-11-1−2i2i0000i−i−ii3−3−33i3−i3−i3i30000000000
χ3822-2-2-2-22-122-2-11111-1-11-1−2i2i0000i−i−ii−333−3−i3i3i3−i3000000000022-2-2-2-22-122-2-11111-1-11-1−2i2i0000i−i−ii−333−3−i3i3i3−i3000000000022-2-2-2-22-122-2-11111-1-11-1−2i2i0000i−i−ii−333−3−i3i3i3−i30000000000
χ394444-44-4-2-44-4-2-2-22-22-22200000000000000000000000000004444-44-4-2-44-4-2-2-22-22-22200000000000000000000000000004444-44-4-2-44-4-2-2-22-22-2220000000000000000000000000000
χ404444-4-44-2-4-44-2-2-222-22-2200000000000000000000000000004444-4-44-2-4-44-2-2-222-22-2200000000000000000000000000004444-4-44-2-4-44-2-2-222-22-220000000000000000000000000000
χ4144-4-4444-2-4-4-4-222-2-2-2222000000000000000000000000000044-4-4444-2-4-4-4-222-2-2-2222000000000000000000000000000044-4-4444-2-4-4-4-222-2-2-22220000000000000000000000000000
χ4244-4-44-4-4-2-444-222-222-2-22000000000000000000000000000044-4-44-4-4-2-444-222-222-2-22000000000000000000000000000044-4-44-4-4-2-444-222-222-2-220000000000000000000000000000
χ434-44i−4i0004000-44i−4i0000000000000000000000002-22i−2i0000004-44i−4i0004000-44i−4i0000000000000000000000002-22i−2i0000004-44i−4i0004000-44i−4i0000000000000000000000002-22i−2i000000
χ444-44i−4i0004000-44i−4i000000000000000000000000-22−2i2i0000004-44i−4i0004000-44i−4i000000000000000000000000-22−2i2i0000004-44i−4i0004000-44i−4i000000000000000000000000-22−2i2i000000
χ454-4−4i4i0004000-4−4i4i0000000000000000000000002-2−2i2i0000004-4−4i4i0004000-4−4i4i0000000000000000000000002-2−2i2i0000004-4−4i4i0004000-4−4i4i0000000000000000000000002-2−2i2i000000
χ464-4−4i4i0004000-4−4i4i000000000000000000000000-222i−2i0000004-4−4i4i0004000-4−4i4i000000000000000000000000-222i−2i0000004-4−4i4i0004000-4−4i4i000000000000000000000000-222i−2i000000
χ478-88i−8i000-40004−4i4i00000000000000000000000000000000008-88i−8i000-40004−4i4i00000000000000000000000000000000008-88i−8i000-40004−4i4i0000000000000000000000000000000000
χ488-8−8i8i000-400044i−4i00000000000000000000000000000000008-8−8i8i000-400044i−4i00000000000000000000000000000000008-8−8i8i000-400044i−4i0000000000000000000000000000000000
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
χ5011111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32
χ511111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1−1+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+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+i32−1+i32−1+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−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ521111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111−1+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+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−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−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+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ5311111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111−1+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+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+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−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ5411111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ5511111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1−1+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+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+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−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−i321+i321+i321+i321+i32
χ5611111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−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+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ572222222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−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−i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+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+i320000000000
χ582222222-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−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+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+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−i320000000000
χ592222222-1222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−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+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+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−i320000000000
χ602222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−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−i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+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+i320000000000
χ6122222-2-222-2-22222-2-2-2-2200002-20000000022-2-20000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30000−1+i31−i300000000−1+i3−1+i31−i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30000−1−i31+i300000000−1−i3−1−i31+i31+i30000000000
χ6222222-2-222-2-22222-2-2-2-220000-2200000000-2-2220000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i300001−i3−1+i3000000001−i31−i3−1+i3−1+i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i300001+i3−1−i3000000001+i31+i3−1−i3−1−i30000000000
χ6322222-2-2-12-2-2-1-1-1-11111-100002-2−i3−i3i3i3−i3−i3i3i3-1-1110000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i320000−1+i31−i33+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i321−i321−i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i320000−1−i31+i3−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i321+i321+i32−1−i32−1−i320000000000
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χ692222-2-222-2-22222-2-22-22-20000000000000000000000002-200−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3000000000000000000000000−1+i31−i300−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3000000000000000000000000−1−i31+i300
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χ10311111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1−1−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−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−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+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+i321−i321−i321−i321−i32
χ10411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−1−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+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−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1052222222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+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+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−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−i320000000000
χ1062222222-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+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−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−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+i320000000000
χ1072222222-1222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+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−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−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+i320000000000
χ1082222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+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+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−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−i320000000000
χ10922222-2-222-2-22222-2-2-2-2200002-20000000022-2-20000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30000−1−i31+i300000000−1−i3−1−i31+i31+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30000−1+i31−i300000000−1+i3−1+i31−i31−i30000000000
χ11022222-2-222-2-22222-2-2-2-220000-2200000000-2-2220000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i300001+i3−1−i3000000001+i31+i3−1−i3−1−i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i300001−i3−1+i3000000001−i31−i3−1+i3−1+i30000000000
χ11122222-2-2-12-2-2-1-1-1-11111-100002-2−i3−i3i3i3−i3−i3i3i3-1-1110000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i320000−1−i31+i3−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i321+i321+i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i320000−1+i31−i33+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i321−i321−i32−1+i32−1+i320000000000
χ11222222-2-2-12-2-2-1-1-1-11111-100002-2i3i3−i3−i3i3i3−i3−i3-1-1110000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i320000−1−i31+i33−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i321+i321+i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i320000−1+i31−i3−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i321−i321−i32−1+i32−1+i320000000000
χ11322222-2-2-12-2-2-1-1-1-11111-10000-22−i3−i3i3i3i3i3−i3−i311-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3200001+i3−1−i3−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i32−1−i32−1−i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3200001−i3−1+i33+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i32−1+i32−1+i321−i321−i320000000000
χ11422222-2-2-12-2-2-1-1-1-11111-10000-22i3i3−i3−i3−i3−i3i3i311-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3200001+i3−1−i33−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i32−1−i32−1−i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3200001−i3−1+i3−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i32−1+i32−1+i321−i321−i320000000000
χ1152222-22-22-22-2222-22-22-2-2000000000000000000000000002-2−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300000000000000000000000000−1−i31+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300000000000000000000000000−1+i31−i3
χ1162222-22-22-22-2222-22-22-2-200000000000000000000000000-22−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3000000000000000000000000001+i3−1−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3000000000000000000000000001−i3−1+i3
χ1172222-2-222-2-22222-2-22-22-20000000000000000000000002-200−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3000000000000000000000000−1−i31+i300−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3000000000000000000000000−1+i31−i300
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χ1394-44i−4i0004000-44i−4i0000000000000000000000002-22i−2i000000−2−2i32+2i34ζ11−4ζ11000−2−2i30002+2i34ζ11−4ζ11000000000000000000000000−1−i31+i32ζ11−2ζ11000000−2+2i32−2i34ζ7−4ζ7000−2+2i30002−2i34ζ7−4ζ7000000000000000000000000−1+i31−i32ζ7−2ζ7000000
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χ1414-4−4i4i0004000-4−4i4i0000000000000000000000002-2−2i2i000000−2−2i32+2i3−4ζ114ζ11000−2−2i30002+2i3−4ζ114ζ11000000000000000000000000−1−i31+i3−2ζ112ζ11000000−2+2i32−2i3−4ζ74ζ7000−2+2i30002−2i3−4ζ74ζ7000000000000000000000000−1+i31−i3−2ζ72ζ7000000
χ1424-4−4i4i0004000-4−4i4i000000000000000000000000-222i−2i000000−2−2i32+2i3−4ζ114ζ11000−2−2i30002+2i3−4ζ114ζ110000000000000000000000001+i3−1−i32ζ11−2ζ11000000−2+2i32−2i3−4ζ74ζ7000−2+2i30002−2i3−4ζ74ζ70000000000000000000000001−i3−1+i32ζ7−2ζ7000000
χ1438-88i−8i000-40004−4i4i0000000000000000000000000000000000−4−4i34+4i38ζ11−8ζ110002+2i3000−2−2i3−4ζ114ζ110000000000000000000000000000000000−4+4i34−4i38ζ7−8ζ70002−2i3000−2+2i3−4ζ74ζ70000000000000000000000000000000000
χ1448-8−8i8i000-400044i−4i0000000000000000000000000000000000−4−4i34+4i3−8ζ118ζ110002+2i3000−2−2i34ζ11−4ζ110000000000000000000000000000000000−4+4i34−4i3−8ζ78ζ70002−2i3000−2+2i34ζ7−4ζ70000000000000000000000000000000000

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