Finite Group Databasebeta

← Group #11723289

Character table — Group #11723289

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222444444444466666666666612121212121236361111222222222222224444444444666666666666121212121212363611112222222222222244444444446666666666661212121212123636
order1222223366666666663666666666444412121212121212124412121212443666663366666666663666666666121212121212121212121212121212121212121236666633666666666636666666661212121212121212121212121212121212121212
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
χ51111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-11-111-1-11-11111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-11-111-1-11-11111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-11-111-1-11-1
χ61111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-1-111-111111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-1-111-111111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-1-111-11
χ71111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-111111-111-1-1-111111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-111111-111-1-1-111111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-111111-111-1-1-11
χ81111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1
χ92222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1002222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1002222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100
χ102222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-1000000000000-2-21111002222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-1000000000000-2-21111002222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100
χ11222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ12222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-2-2-2-21111111100000000222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-2-2-2-21111111100000000222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-2-2-2-21111111100000000
χ132222-2-22-122-1-2-2-2-2-1-12-111-1-1-111110000000000002-2-1-111002222-2-22-122-1-2-2-2-2-1-12-111-1-1-111110000000000002-2-1-111002222-2-22-122-1-2-2-2-2-1-12-111-1-1-111110000000000002-2-1-11100
χ142222-2-22-122-1-2-2-2-2-1-12-111-1-1-11111000000000000-2211-1-1002222-2-22-122-1-2-2-2-2-1-12-111-1-1-11111000000000000-2211-1-1002222-2-22-122-1-2-2-2-2-1-12-111-1-1-11111000000000000-2211-1-100
χ152222-2-2-12-1-12111122-1-1-2-2-1-1-1111122-2-2-1-1-1-11111000000002222-2-2-12-1-12111122-1-1-2-2-1-1-1111122-2-2-1-1-1-11111000000002222-2-2-12-1-12111122-1-1-2-2-1-1-1111122-2-2-1-1-1-1111100000000
χ162222-2-2-12-1-12111122-1-1-2-2-1-1-11111-2-2221111-1-1-1-1000000002222-2-2-12-1-12111122-1-1-2-2-1-1-11111-2-2221111-1-1-1-1000000002222-2-2-12-1-12111122-1-1-2-2-1-1-11111-2-2221111-1-1-1-100000000
χ1722-2-22-2222-2222-2-2-2-2-222-22-2-222-2-20000000000000000000022-2-22-2222-2222-2-2-2-2-222-22-2-222-2-20000000000000000000022-2-22-2222-2222-2-2-2-2-222-22-2-222-2-200000000000000000000
χ1822-2-22-22-12-2-122-2-211-2-1-11-111-1-111000000000000003−33−30022-2-22-22-12-2-122-2-211-2-1-11-111-1-111000000000000003−33−30022-2-22-22-12-2-122-2-211-2-1-11-111-1-111000000000000003−33−300
χ1922-2-22-22-12-2-122-2-211-2-1-11-111-1-11100000000000000−33−330022-2-22-22-12-2-122-2-211-2-1-11-111-1-11100000000000000−33−330022-2-22-22-12-2-122-2-211-2-1-11-111-1-11100000000000000−33−3300
χ2022-2-22-2-12-112-1-111-2-21-12-2-111-1-111000033−3−333−3−30000000022-2-22-2-12-112-1-111-2-21-12-2-111-1-111000033−3−333−3−30000000022-2-22-2-12-112-1-111-2-21-12-2-111-1-111000033−3−333−3−300000000
χ2122-2-22-2-12-112-1-111-2-21-12-2-111-1-1110000−3−333−3−3330000000022-2-22-2-12-112-1-111-2-21-12-2-111-1-1110000−3−333−3−3330000000022-2-22-2-12-112-1-111-2-21-12-2-111-1-1110000−3−333−3−33300000000
χ2222-2-2-22222-22-2-222-2-2-22-222-2-2-2-2220000000000000000000022-2-2-22222-22-2-222-2-2-22-222-2-2-2-2220000000000000000000022-2-2-22222-22-2-222-2-2-22-222-2-2-2-22200000000000000000000
χ2322-2-2-222-12-2-1-2-22211-2-11-1-11111-1-1000000000000003−3−330022-2-2-222-12-2-1-2-22211-2-11-1-11111-1-1000000000000003−3−330022-2-2-222-12-2-1-2-22211-2-11-1-11111-1-1000000000000003−3−3300
χ2422-2-2-222-12-2-1-2-22211-2-11-1-11111-1-100000000000000−333−30022-2-2-222-12-2-1-2-22211-2-11-1-11111-1-100000000000000−333−30022-2-2-222-12-2-1-2-22211-2-11-1-11111-1-100000000000000−333−300
χ2522-2-2-22-12-11211-1-1-2-21-1-22-11111-1-1000033−3−3−3−3330000000022-2-2-22-12-11211-1-1-2-21-1-22-11111-1-1000033−3−3−3−3330000000022-2-2-22-12-11211-1-1-2-21-1-22-11111-1-1000033−3−3−3−33300000000
χ2622-2-2-22-12-11211-1-1-2-21-1-22-11111-1-10000−3−33333−3−30000000022-2-2-22-12-11211-1-1-2-21-1-22-11111-1-10000−3−33333−3−30000000022-2-2-22-12-11211-1-1-2-21-1-22-11111-1-10000−3−33333−3−300000000
χ272-22-20022-22-200002-2-2200-22-20000002i−2i00002i−2i2i−2i000000002-22-20022-22-200002-2-2200-22-20000002i−2i00002i−2i2i−2i000000002-22-20022-22-200002-2-2200-22-20000002i−2i00002i−2i2i−2i00000000
χ282-22-20022-22-200002-2-2200-22-2000000−2i2i0000−2i2i−2i2i000000002-22-20022-22-200002-2-2200-22-2000000−2i2i0000−2i2i−2i2i000000002-22-20022-22-200002-2-2200-22-2000000−2i2i0000−2i2i−2i2i00000000
χ292-22-200-121-1-2−i3i3−i3i32-21-1001-11−i3i3−i3i3002i−2i3−33−3−ii−ii000000002-22-200-121-1-2−i3i3−i3i32-21-1001-11−i3i3−i3i3002i−2i3−33−3−ii−ii000000002-22-200-121-1-2−i3i3−i3i32-21-1001-11−i3i3−i3i3002i−2i3−33−3−ii−ii00000000
χ302-22-200-121-1-2−i3i3−i3i32-21-1001-11−i3i3−i3i300−2i2i−33−33i−ii−i000000002-22-200-121-1-2−i3i3−i3i32-21-1001-11−i3i3−i3i300−2i2i−33−33i−ii−i000000002-22-200-121-1-2−i3i3−i3i32-21-1001-11−i3i3−i3i300−2i2i−33−33i−ii−i00000000
χ312-22-200-121-1-2i3−i3i3−i32-21-1001-11i3−i3i3−i3002i−2i−33−33−ii−ii000000002-22-200-121-1-2i3−i3i3−i32-21-1001-11i3−i3i3−i3002i−2i−33−33−ii−ii000000002-22-200-121-1-2i3−i3i3−i32-21-1001-11i3−i3i3−i3002i−2i−33−33−ii−ii00000000
χ322-22-200-121-1-2i3−i3i3−i32-21-1001-11i3−i3i3−i300−2i2i3−33−3i−ii−i000000002-22-200-121-1-2i3−i3i3−i32-21-1001-11i3−i3i3−i300−2i2i3−33−3i−ii−i000000002-22-200-121-1-2i3−i3i3−i32-21-1001-11i3−i3i3−i300−2i2i3−33−3i−ii−i00000000
χ332-2-220022-2-2-20000-222200-2-2200002-2002-2-220000000000002-2-220022-2-2-20000-222200-2-2200002-2002-2-220000000000002-2-220022-2-2-20000-222200-2-2200002-2002-2-22000000000000
χ342-2-220022-2-2-20000-222200-2-220000-2200-222-20000000000002-2-220022-2-2-20000-222200-2-220000-2200-222-20000000000002-2-220022-2-2-20000-222200-2-220000-2200-222-2000000000000
χ352-2-2200-1211-2−i3i3i3−i3-22-1-10011-1−i3i3i3−i32-200-111-1−i3i3i3−i3000000002-2-2200-1211-2−i3i3i3−i3-22-1-10011-1−i3i3i3−i32-200-111-1−i3i3i3−i3000000002-2-2200-1211-2−i3i3i3−i3-22-1-10011-1−i3i3i3−i32-200-111-1−i3i3i3−i300000000
χ362-2-2200-1211-2−i3i3i3−i3-22-1-10011-1−i3i3i3−i3-22001-1-11i3−i3−i3i3000000002-2-2200-1211-2−i3i3i3−i3-22-1-10011-1−i3i3i3−i3-22001-1-11i3−i3−i3i3000000002-2-2200-1211-2−i3i3i3−i3-22-1-10011-1−i3i3i3−i3-22001-1-11i3−i3−i3i300000000
χ372-2-2200-1211-2i3−i3−i3i3-22-1-10011-1i3−i3−i3i32-200-111-1i3−i3−i3i3000000002-2-2200-1211-2i3−i3−i3i3-22-1-10011-1i3−i3−i3i32-200-111-1i3−i3−i3i3000000002-2-2200-1211-2i3−i3−i3i3-22-1-10011-1i3−i3−i3i32-200-111-1i3−i3−i3i300000000
χ382-2-2200-1211-2i3−i3−i3i3-22-1-10011-1i3−i3−i3i3-22001-1-11−i3i3i3−i3000000002-2-2200-1211-2i3−i3−i3i3-22-1-10011-1i3−i3−i3i3-22001-1-11−i3i3i3−i3000000002-2-2200-1211-2i3−i3−i3i3-22-1-10011-1i3−i3−i3i3-22001-1-11−i3i3i3−i300000000
χ39444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2111111100000000000000000000444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2111111100000000000000000000444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2111111100000000000000000000
χ404444-4-4-2-2-2-2-22222-2-2-2122111-1-1-1-1000000000000000000004444-4-4-2-2-2-2-22222-2-2-2122111-1-1-1-1000000000000000000004444-4-4-2-2-2-2-22222-2-2-2122111-1-1-1-100000000000000000000
χ4144-4-44-4-2-2-22-2-2-2222221-221-1-111-1-10000000000000000000044-4-44-4-2-2-22-2-2-2222221-221-1-111-1-10000000000000000000044-4-44-4-2-2-22-2-2-2222221-221-1-111-1-100000000000000000000
χ4244-4-4-44-2-2-22-222-2-222212-21-1-1-1-1110000000000000000000044-4-4-44-2-2-22-222-2-222212-21-1-1-1-1110000000000000000000044-4-4-44-2-2-22-222-2-222212-21-1-1-1-11100000000000000000000
χ434-44-4004-2-4420000-22-4-2002-220000000000000000000000004-44-4004-2-4420000-22-4-2002-220000000000000000000000004-44-4004-2-4420000-22-4-2002-22000000000000000000000000
χ444-44-400-2-22-22−2i32i3−2i32i3-222100-11-1i3−i3i3−i3000000000000000000004-44-400-2-22-22−2i32i3−2i32i3-222100-11-1i3−i3i3−i3000000000000000000004-44-400-2-22-22−2i32i3−2i32i3-222100-11-1i3−i3i3−i300000000000000000000
χ454-44-400-2-22-222i3−2i32i3−2i3-222100-11-1−i3i3−i3i3000000000000000000004-44-400-2-22-222i3−2i32i3−2i3-222100-11-1−i3i3−i3i3000000000000000000004-44-400-2-22-222i3−2i32i3−2i3-222100-11-1−i3i3−i3i300000000000000000000
χ464-4-44004-2-4-4200002-24-20022-20000000000000000000000004-4-44004-2-4-4200002-24-20022-20000000000000000000000004-4-44004-2-4-4200002-24-20022-2000000000000000000000000
χ474-4-4400-2-2222−2i32i32i3−2i32-2-2100-1-11i3−i3−i3i3000000000000000000004-4-4400-2-2222−2i32i32i3−2i32-2-2100-1-11i3−i3−i3i3000000000000000000004-4-4400-2-2222−2i32i32i3−2i32-2-2100-1-11i3−i3−i3i300000000000000000000
χ484-4-4400-2-22222i3−2i3−2i32i32-2-2100-1-11−i3i3i3−i3000000000000000000004-4-4400-2-22222i3−2i3−2i32i32-2-2100-1-11−i3i3i3−i3000000000000000000004-4-4400-2-22222i3−2i3−2i32i32-2-2100-1-11−i3i3i3−i300000000000000000000
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
χ531111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-11-111-1-11-1−1+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+i32−1+i321−i321−i32−1+i32−1+i32−1+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−i32−1+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−i32−1−i321+i321+i32−1−i32−1−i32−1−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+i32−1−i321+i32
χ541111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-1-111-11−1+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+i32−1+i321−i321−i32−1+i32−1+i32−1+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+i321−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−i32−1−i321+i321+i32−1−i32−1−i32−1−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−i321+i32−1−i32
χ551111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-111111-111-1-1-11−1+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+i32−1+i321−i321−i32−1+i32−1+i32−1+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−i321−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−i32−1−i321+i321+i32−1−i32−1−i32−1−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+i321+i32−1−i32
χ561111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1−1+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+i32−1+i321−i321−i32−1+i32−1+i32−1+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+i32−1+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−i32−1−i321+i321+i32−1−i32−1−i32−1−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−i32−1−i321+i32
χ572222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+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−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1−i3−1−i31+i321+i321+i321+i3200
χ582222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+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−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000001+i31+i3−1−i32−1−i32−1−i32−1−i3200
χ59222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−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−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ60222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-2-2-2-21111111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−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−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+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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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
χ1011111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-11-111-1-11-1−1−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−i32−1−i321+i321+i32−1−i32−1−i32−1−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+i32−1−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+i32−1+i321−i321−i32−1+i32−1+i32−1+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−i32−1+i321−i32
χ1021111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-1-111-11−1−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−i32−1−i321+i321+i32−1−i32−1−i32−1−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−i321+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+i32−1+i321−i321−i32−1+i32−1+i32−1+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+i321−i32−1+i32
χ1031111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-111111-111-1-1-11−1−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−i32−1−i321+i321+i32−1−i32−1−i32−1−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+i321+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+i32−1+i321−i321−i32−1+i32−1+i32−1+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−i321−i32−1+i32
χ1041111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1−1−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−i32−1−i321+i321+i32−1−i32−1−i32−1−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−i32−1−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+i32−1+i321−i321−i32−1+i32−1+i32−1+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+i32−1+i321−i32
χ1052222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−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+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1+i3−1+i31−i321−i321−i321−i3200
χ1062222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−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+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000001−i31−i3−1+i32−1+i32−1+i32−1+i3200
χ107222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+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+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ108222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-2-2-2-21111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+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+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ1092222-2-22-122-1-2-2-2-2-1-12-111-1-1-111110000000000002-2-1-11100−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i32−1−i31+i32−1−i32−1−i321+i321+i321+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+i31−i31−i3−1+i31−i32−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i32−1+i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000−1+i31−i31−i321−i32−1+i32−1+i3200
χ1102222-2-22-122-1-2-2-2-2-1-12-111-1-1-11111000000000000-2211-1-100−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i32−1−i31+i32−1−i32−1−i321+i321+i321+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+i31−i31−i3−1+i31−i32−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i32−1+i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000001−i3−1+i3−1+i32−1+i321−i321−i3200
χ1112222-2-2-12-1-12111122-1-1-2-2-1-1-1111122-2-2-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ1122222-2-2-12-1-12111122-1-1-2-2-1-1-11111-2-2221111-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000
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χ1414-44-400-2-22-222i3−2i32i3−2i3-222100-11-1−i3i3−i3i300000000000000000000−2−2i32+2i3−2−2i32+2i3001+i31+i3−1−i31+i3−1−i33−i3−3+i33−i3−3+i31+i3−1−i3−1−i3−1−i32001+i32−1−i321+i32−3+i323−i32−3+i323−i3200000000000000000000−2+2i32−2i3−2+2i32−2i3001−i31−i3−1+i31−i3−1+i3−3−i33+i3−3−i33+i31−i3−1+i3−1+i3−1+i32001−i32−1+i321−i323+i32−3−i323+i32−3−i3200000000000000000000
χ1424-4-44004-2-4-4200002-24-20022-2000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i31+i32+2i32+2i3−1−i30000−1−i31+i3−2−2i31+i300−1−i3−1−i31+i3000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i31−i32−2i32−2i3−1+i30000−1+i31−i3−2+2i31−i300−1+i3−1+i31−i3000000000000000000000000
χ1434-4-4400-2-2222−2i32i32i3−2i32-2-2100-1-11i3−i3−i3i300000000000000000000−2−2i32+2i32+2i3−2−2i3001+i31+i3−1−i3−1−i3−1−i3−3+i33−i33−i3−3+i3−1−i31+i31+i3−1−i32001+i321+i32−1−i323−i32−3+i32−3+i323−i3200000000000000000000−2+2i32−2i32−2i3−2+2i3001−i31−i3−1+i3−1+i3−1+i33+i3−3−i3−3−i33+i3−1+i31−i31−i3−1+i32001−i321−i32−1+i32−3−i323+i323+i32−3−i3200000000000000000000
χ1444-4-4400-2-22222i3−2i3−2i32i32-2-2100-1-11−i3i3i3−i300000000000000000000−2−2i32+2i32+2i3−2−2i3001+i31+i3−1−i3−1−i3−1−i33−i3−3+i3−3+i33−i3−1−i31+i31+i3−1−i32001+i321+i32−1−i32−3+i323−i323−i32−3+i3200000000000000000000−2+2i32−2i32−2i3−2+2i3001−i31−i3−1+i3−1+i3−1+i3−3−i33+i33+i3−3−i3−1+i31−i31−i3−1+i32001−i321−i32−1+i323+i32−3−i32−3−i323+i3200000000000000000000

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