Finite Group Databasebeta

← Group #11723231

Character table — Group #11723231

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222444444444466666666666612121212121236361111222222222222224444444444666666666666121212121212363611112222222222222244444444446666666666661212121212123636
order122233446666661212121236661212121212122244666612121212246612122436663312126666661212121236661212121212126612126666121212126126612126123666331212666666121212123666121212121212661212666612121212612661212612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-11
χ6111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1111-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1111-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1111-1
χ7111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-11-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-11-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-11-1
χ8111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111-11
χ922222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10022222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10022222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100
χ1022222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1000000000000-2-211110022222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1000000000000-2-211110022222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100
χ1122222-1-2-222-1-1-12-2-2-2-2-1-1-1-11111110000000000002-2-1-1110022222-1-2-222-1-1-12-2-2-2-2-1-1-1-11111110000000000002-2-1-1110022222-1-2-222-1-1-12-2-2-2-2-1-1-1-11111110000000000002-2-1-11100
χ1222222-1-2-222-1-1-12-2-2-2-2-1-1-1-1111111000000000000-2211-1-10022222-1-2-222-1-1-12-2-2-2-2-1-1-1-1111111000000000000-2211-1-10022222-1-2-222-1-1-12-2-2-2-2-1-1-1-1111111000000000000-2211-1-100
χ132222-1222-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000002222-1222-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000002222-1222-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ142222-1222-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000002222-1222-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000002222-1222-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-21111111100000000
χ152222-12-2-2-1-1222-11111-1-1-1-1-2-2111122-2-2-1-1-1-11111000000002222-12-2-2-1-1222-11111-1-1-1-1-2-2111122-2-2-1-1-1-11111000000002222-12-2-2-1-1222-11111-1-1-1-1-2-2111122-2-2-1-1-1-1111100000000
χ162222-12-2-2-1-1222-11111-1-1-1-1-2-21111-2-2221111-1-1-1-1000000002222-12-2-2-1-1222-11111-1-1-1-1-2-21111-2-2221111-1-1-1-1000000002222-12-2-2-1-1222-11111-1-1-1-1-2-21111-2-2221111-1-1-1-100000000
χ1722-2-2222i−2i2-22-2-2-22i2i−2i−2i22-2-22i−2i2i2i−2i−2i0000000000000000000022-2-2222i−2i2-22-2-2-22i2i−2i−2i22-2-22i−2i2i2i−2i−2i0000000000000000000022-2-2222i−2i2-22-2-2-22i2i−2i−2i22-2-22i−2i2i2i−2i−2i00000000000000000000
χ1822-2-222−2i2i2-22-2-2-2−2i−2i2i2i22-2-2−2i2i−2i−2i2i2i0000000000000000000022-2-222−2i2i2-22-2-2-2−2i−2i2i2i22-2-2−2i2i−2i−2i2i2i0000000000000000000022-2-222−2i2i2-22-2-2-2−2i−2i2i2i22-2-2−2i2i−2i−2i2i2i00000000000000000000
χ1922-2-22-12i−2i2-2-111-22i2i−2i−2i-1-111−ii−i−iii00000000000000−i3i33−30022-2-22-12i−2i2-2-111-22i2i−2i−2i-1-111−ii−i−iii00000000000000−i3i33−30022-2-22-12i−2i2-2-111-22i2i−2i−2i-1-111−ii−i−iii00000000000000−i3i33−300
χ2022-2-22-12i−2i2-2-111-22i2i−2i−2i-1-111−ii−i−iii00000000000000i3−i3−330022-2-22-12i−2i2-2-111-22i2i−2i−2i-1-111−ii−i−iii00000000000000i3−i3−330022-2-22-12i−2i2-2-111-22i2i−2i−2i-1-111−ii−i−iii00000000000000i3−i3−3300
χ2122-2-22-1−2i2i2-2-111-2−2i−2i2i2i-1-111i−iii−i−i00000000000000−i3i3−330022-2-22-1−2i2i2-2-111-2−2i−2i2i2i-1-111i−iii−i−i00000000000000−i3i3−330022-2-22-1−2i2i2-2-111-2−2i−2i2i2i-1-111i−iii−i−i00000000000000−i3i3−3300
χ2222-2-22-1−2i2i2-2-111-2−2i−2i2i2i-1-111i−iii−i−i00000000000000i3−i33−30022-2-22-1−2i2i2-2-111-2−2i−2i2i2i-1-111i−iii−i−i00000000000000i3−i33−30022-2-22-1−2i2i2-2-111-2−2i−2i2i2i-1-111i−iii−i−i00000000000000i3−i33−300
χ2322-2-2-122i−2i-112-2-21−i−iii-1-1112i−2i−i−iii0000−i3−i3i3i333−3−30000000022-2-2-122i−2i-112-2-21−i−iii-1-1112i−2i−i−iii0000−i3−i3i3i333−3−30000000022-2-2-122i−2i-112-2-21−i−iii-1-1112i−2i−i−iii0000−i3−i3i3i333−3−300000000
χ2422-2-2-122i−2i-112-2-21−i−iii-1-1112i−2i−i−iii0000i3i3−i3−i3−3−3330000000022-2-2-122i−2i-112-2-21−i−iii-1-1112i−2i−i−iii0000i3i3−i3−i3−3−3330000000022-2-2-122i−2i-112-2-21−i−iii-1-1112i−2i−i−iii0000i3i3−i3−i3−3−33300000000
χ2522-2-2-12−2i2i-112-2-21ii−i−i-1-111−2i2iii−i−i0000−i3−i3i3i3−3−3330000000022-2-2-12−2i2i-112-2-21ii−i−i-1-111−2i2iii−i−i0000−i3−i3i3i3−3−3330000000022-2-2-12−2i2i-112-2-21ii−i−i-1-111−2i2iii−i−i0000−i3−i3i3i3−3−33300000000
χ2622-2-2-12−2i2i-112-2-21ii−i−i-1-111−2i2iii−i−i0000i3i3−i3−i333−3−30000000022-2-2-12−2i2i-112-2-21ii−i−i-1-111−2i2iii−i−i0000i3i3−i3−i333−3−30000000022-2-2-12−2i2i-112-2-21ii−i−i-1-111−2i2iii−i−i0000i3i3−i3−i333−3−300000000
χ272-22-22200-2-2-22-2200002-2-22000000002-200002-22-2000000002-22-22200-2-2-22-2200002-2-22000000002-200002-22-2000000002-22-22200-2-2-22-2200002-2-22000000002-200002-22-200000000
χ282-22-22200-2-2-22-2200002-2-2200000000-220000-22-22000000002-22-22200-2-2-22-2200002-2-2200000000-220000-22-22000000002-22-22200-2-2-22-2200002-2-2200000000-220000-22-2200000000
χ292-22-2-120011-22-2-1−i3i3−i3i3-111-100−i3i3−i3i3002-2−i3i3−i3i3-11-11000000002-22-2-120011-22-2-1−i3i3−i3i3-111-100−i3i3−i3i3002-2−i3i3−i3i3-11-11000000002-22-2-120011-22-2-1−i3i3−i3i3-111-100−i3i3−i3i3002-2−i3i3−i3i3-11-1100000000
χ302-22-2-120011-22-2-1−i3i3−i3i3-111-100−i3i3−i3i300-22i3−i3i3−i31-11-1000000002-22-2-120011-22-2-1−i3i3−i3i3-111-100−i3i3−i3i300-22i3−i3i3−i31-11-1000000002-22-2-120011-22-2-1−i3i3−i3i3-111-100−i3i3−i3i300-22i3−i3i3−i31-11-100000000
χ312-22-2-120011-22-2-1i3−i3i3−i3-111-100i3−i3i3−i3002-2i3−i3i3−i3-11-11000000002-22-2-120011-22-2-1i3−i3i3−i3-111-100i3−i3i3−i3002-2i3−i3i3−i3-11-11000000002-22-2-120011-22-2-1i3−i3i3−i3-111-100i3−i3i3−i3002-2i3−i3i3−i3-11-1100000000
χ322-22-2-120011-22-2-1i3−i3i3−i3-111-100i3−i3i3−i300-22−i3i3−i3i31-11-1000000002-22-2-120011-22-2-1i3−i3i3−i3-111-100i3−i3i3−i300-22−i3i3−i3i31-11-1000000002-22-2-120011-22-2-1i3−i3i3−i3-111-100i3−i3i3−i300-22−i3i3−i3i31-11-100000000
χ332-2-222200-22-2-22-200002-22-20000002-2002-2-220000000000002-2-222200-22-2-22-200002-22-20000002-2002-2-220000000000002-2-222200-22-2-22-200002-22-20000002-2002-2-22000000000000
χ342-2-222200-22-2-22-200002-22-2000000-2200-222-20000000000002-2-222200-22-2-22-200002-22-2000000-2200-222-20000000000002-2-222200-22-2-22-200002-22-2000000-2200-222-2000000000000
χ352-2-22-12001-1-2-2213−3−33-11-11003−3−332-200-111-13−3−33000000002-2-22-12001-1-2-2213−3−33-11-11003−3−332-200-111-13−3−33000000002-2-22-12001-1-2-2213−3−33-11-11003−3−332-200-111-13−3−3300000000
χ362-2-22-12001-1-2-2213−3−33-11-11003−3−33-22001-1-11−333−3000000002-2-22-12001-1-2-2213−3−33-11-11003−3−33-22001-1-11−333−3000000002-2-22-12001-1-2-2213−3−33-11-11003−3−33-22001-1-11−333−300000000
χ372-2-22-12001-1-2-221−333−3-11-1100−333−32-200-111-1−333−3000000002-2-22-12001-1-2-221−333−3-11-1100−333−32-200-111-1−333−3000000002-2-22-12001-1-2-221−333−3-11-1100−333−32-200-111-1−333−300000000
χ382-2-22-12001-1-2-221−333−3-11-1100−333−3-22001-1-113−3−33000000002-2-22-12001-1-2-221−333−3-11-1100−333−3-22001-1-113−3−33000000002-2-22-12001-1-2-221−333−3-11-1100−333−3-22001-1-113−3−3300000000
χ394444-2-244-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000004444-2-244-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000004444-2-244-2-2-2-2-2-2-2-2-2-21111-2-2111100000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-22222111122-1-1-1-1000000000000000000004444-2-2-4-4-2-2-2-2-2-22222111122-1-1-1-1000000000000000000004444-2-2-4-4-2-2-2-2-2-22222111122-1-1-1-100000000000000000000
χ4144-4-4-2-24i−4i-22-2222−2i−2i2i2i11-1-1−2i2iii−i−i0000000000000000000044-4-4-2-24i−4i-22-2222−2i−2i2i2i11-1-1−2i2iii−i−i0000000000000000000044-4-4-2-24i−4i-22-2222−2i−2i2i2i11-1-1−2i2iii−i−i00000000000000000000
χ4244-4-4-2-2−4i4i-22-22222i2i−2i−2i11-1-12i−2i−i−iii0000000000000000000044-4-4-2-2−4i4i-22-22222i2i−2i−2i11-1-12i−2i−i−iii0000000000000000000044-4-4-2-2−4i4i-22-22222i2i−2i−2i11-1-12i−2i−i−iii00000000000000000000
χ434-44-44-200-4-42-2240000-222-2000000000000000000000000004-44-44-200-4-42-2240000-222-2000000000000000000000000004-44-44-200-4-42-2240000-222-200000000000000000000000000
χ444-44-4-2-200222-22-2−2i32i3−2i32i31-1-1100i3−i3i3−i3000000000000000000004-44-4-2-200222-22-2−2i32i3−2i32i31-1-1100i3−i3i3−i3000000000000000000004-44-4-2-200222-22-2−2i32i3−2i32i31-1-1100i3−i3i3−i300000000000000000000
χ454-44-4-2-200222-22-22i3−2i32i3−2i31-1-1100−i3i3−i3i3000000000000000000004-44-4-2-200222-22-22i3−2i32i3−2i31-1-1100−i3i3−i3i3000000000000000000004-44-4-2-200222-22-22i3−2i32i3−2i31-1-1100−i3i3−i3i300000000000000000000
χ464-4-444-200-4422-2-40000-22-22000000000000000000000000004-4-444-200-4422-2-40000-22-22000000000000000000000000004-4-444-200-4422-2-40000-22-2200000000000000000000000000
χ474-4-44-2-2002-222-2223−23−23231-11-100−333−3000000000000000000004-4-44-2-2002-222-2223−23−23231-11-100−333−3000000000000000000004-4-44-2-2002-222-2223−23−23231-11-100−333−300000000000000000000
χ484-4-44-2-2002-222-22−232323−231-11-1003−3−33000000000000000000004-4-44-2-2002-222-22−232323−231-11-1003−3−33000000000000000000004-4-44-2-2002-222-22−232323−231-11-1003−3−3300000000000000000000
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
χ501111111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−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
χ511111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−1+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+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i32
χ521111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ53111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ54111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ55111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+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−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ56111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ5722222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1−i3−1−i31+i321+i321+i321+i3200
χ5822222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000001−i31−i3−1+i32−1+i32−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000001+i31+i3−1−i32−1−i32−1−i32−1−i3200
χ5922222-1-2-222-1-1-12-2-2-2-2-1-1-1-11111110000000000002-2-1-11100−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000−1+i31−i31−i321−i32−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1−i31+i31+i321+i32−1−i32−1−i3200
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χ981111111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1−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−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+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
χ991111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−1−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−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32
χ1001111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−1−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−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ101111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ102111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ103111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−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+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ104111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ10522222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1+i3−1+i31−i321−i321−i321−i3200
χ10622222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000001+i31+i3−1−i32−1−i32−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000001−i31−i3−1+i32−1+i32−1+i32−1+i3200
χ10722222-1-2-222-1-1-12-2-2-2-2-1-1-1-11111110000000000002-2-1-11100−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000−1+i31−i31−i321−i32−1+i32−1+i3200
χ10822222-1-2-222-1-1-12-2-2-2-2-1-1-1-1111111000000000000-2211-1-100−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000001+i3−1−i3−1−i32−1−i321+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000001−i3−1+i3−1+i32−1+i321−i321−i3200
χ1092222-1222-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ1102222-1222-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-21111111100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
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χ1424-4-444-200-4422-2-40000-22-2200000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i31+i3002+2i3−2−2i3−1−i3−1−i31+i32+2i300001+i3−1−i31+i3−1−i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i31−i3002−2i3−2+2i3−1+i3−1+i31−i32−2i300001−i3−1+i31−i3−1+i300000000000000000000000000
χ1434-4-44-2-2002-222-2223−23−23231-11-100−333−300000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i300−1−i31+i3−1−i3−1−i31+i3−1−i34ζ7+2ζ11−4ζ7−2ζ11−4ζ7−2ζ114ζ7+2ζ11−1−i321+i32−1−i321+i3200−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i300−1+i31−i3−1+i3−1+i31−i3−1+i3−2ζ7−4ζ112ζ7+4ζ112ζ7+4ζ11−2ζ7−4ζ11−1+i321−i32−1+i321−i3200ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000000000000000
χ1444-4-44-2-2002-222-22−232323−231-11-1003−3−3300000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i300−1−i31+i3−1−i3−1−i31+i3−1−i3−4ζ7−2ζ114ζ7+2ζ114ζ7+2ζ11−4ζ7−2ζ11−1−i321+i32−1−i321+i32002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i300−1+i31−i3−1+i3−1+i31−i3−1+i32ζ7+4ζ11−2ζ7−4ζ11−2ζ7−4ζ112ζ7+4ζ11−1+i321−i32−1+i321−i3200−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000000000000000

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