Finite Group Databasebeta

← Group #11723204

Character table — Group #11723204

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222333344444444446666666666666612121212181818181111222222222222223333444444444466666666666666121212121818181811112222222222222233334444444444666666666666661212121218181818
order122233446666661212121244443666121212121212222244666612121212661212444436663312126666661212121212121212366612121212121266661212666612121212661212121212123666331212666666121212121212121236661212121212126666121266661212121266121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ6111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ7111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1
χ8111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ91-11-111i−i11-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i1-11-111i−i11-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i1-11-111i−i11-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i
χ101-11-111i−i11-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i1-1-11−ii11-1-1ii−i−i-11−ii-11−ii1-11-111i−i11-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i1-1-11−ii11-1-1ii−i−i-11−ii-11−ii1-11-111i−i11-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i1-1-11−ii11-1-1ii−i−i-11−ii-11−ii
χ111-11-111i−i11-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-111-1i−i-1-111−i−iii1-1i−i-11−ii1-11-111i−i11-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-111-1i−i-1-111−i−iii1-1i−i-11−ii1-11-111i−i11-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-111-1i−i-1-111−i−iii1-1i−i-11−ii
χ121-11-111i−i11-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-11-11−ii-1-111−i−iii-11−ii1-1i−i1-11-111i−i11-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-11-11−ii-1-111−i−iii-11−ii1-1i−i1-11-111i−i11-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-11-11−ii-1-111−i−iii-11−ii1-1i−i
χ131-11-111−ii11-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-111-1−ii-1-111ii−i−i1-1−ii-11i−i1-11-111−ii11-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-111-1−ii-1-111ii−i−i1-1−ii-11i−i1-11-111−ii11-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-111-1−ii-1-111ii−i−i1-1−ii-11i−i
χ141-11-111−ii11-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-11-11i−i-1-111ii−i−i-11i−i1-1−ii1-11-111−ii11-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-11-11i−i-1-111ii−i−i-11i−i1-1−ii1-11-111−ii11-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-11-11i−i-1-111ii−i−i-11i−i1-1−ii
χ151-11-111−ii11-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii1-11-111−ii11-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii1-11-111−ii11-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii
χ161-11-111−ii11-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii1-1-11i−i11-1-1−i−iii-11i−i-11i−i1-11-111−ii11-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii1-1-11i−i11-1-1−i−iii-11i−i-11i−i1-11-111−ii11-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii1-1-11i−i11-1-1−i−iii-11i−i-11i−i
χ1722222-1222-12-1-1222220000-1-1-1-1-1-1-1-1-1-100222200000000-1-1-1-1000022222-1222-12-1-1222220000-1-1-1-1-1-1-1-1-1-100222200000000-1-1-1-1000022222-1222-12-1-1222220000-1-1-1-1-1-1-1-1-1-100222200000000-1-1-1-10000
χ1822222-1222-12-1-1222220000-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000001111000022222-1222-12-1-1222220000-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000001111000022222-1222-12-1-1222220000-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000011110000
χ1922222-1-2-22-12-1-12-2-2-2-20000-1-1-1-11111110022-2-200000000-1-111000022222-1-2-22-12-1-12-2-2-2-20000-1-1-1-11111110022-2-200000000-1-111000022222-1-2-22-12-1-12-2-2-2-20000-1-1-1-11111110022-2-200000000-1-1110000
χ2022222-1-2-22-12-1-12-2-2-2-20000-1-1-1-111111100-2-2220000000011-1-1000022222-1-2-22-12-1-12-2-2-2-20000-1-1-1-111111100-2-2220000000011-1-1000022222-1-2-22-12-1-12-2-2-2-20000-1-1-1-111111100-2-2220000000011-1-10000
χ212222-1222-12-122-1-1-1-1-12222-1-1-1-122-1-1-1-1220000-1-1-1-1-1-1-1-1000000002222-1222-12-122-1-1-1-1-12222-1-1-1-122-1-1-1-1220000-1-1-1-1-1-1-1-1000000002222-1222-12-122-1-1-1-1-12222-1-1-1-122-1-1-1-1220000-1-1-1-1-1-1-1-100000000
χ222222-1222-12-122-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-2000011111111000000002222-1222-12-122-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-2000011111111000000002222-1222-12-122-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-200001111111100000000
χ232222-12-2-2-12-122-111112222-1-1-1-1-2-21111-2-200001111-1-1-1-1000000002222-12-2-2-12-122-111112222-1-1-1-1-2-21111-2-200001111-1-1-1-1000000002222-12-2-2-12-122-111112222-1-1-1-1-2-21111-2-200001111-1-1-1-100000000
χ242222-12-2-2-12-122-11111-2-2-2-2-1-1-1-1-2-21111220000-1-1-1-11111000000002222-12-2-2-12-122-11111-2-2-2-2-1-1-1-1-2-21111220000-1-1-1-11111000000002222-12-2-2-12-122-11111-2-2-2-2-1-1-1-1-2-21111220000-1-1-1-1111100000000
χ2522-2-22200-2-22-22-200002i−2i2i−2i2-22-200000000000000002i−2i2i−2i0000000022-2-22200-2-22-22-200002i−2i2i−2i2-22-200000000000000002i−2i2i−2i0000000022-2-22200-2-22-22-200002i−2i2i−2i2-22-200000000000000002i−2i2i−2i00000000
χ2622-2-22200-2-22-22-20000−2i2i−2i2i2-22-20000000000000000−2i2i−2i2i0000000022-2-22200-2-22-22-20000−2i2i−2i2i2-22-20000000000000000−2i2i−2i2i0000000022-2-22200-2-22-22-20000−2i2i−2i2i2-22-20000000000000000−2i2i−2i2i00000000
χ2722-2-2-12001-2-1-2213−33−32i−2i2i−2i-11-11003−33−3000000−i3i3−i3i3−ii−ii0000000022-2-2-12001-2-1-2213−33−32i−2i2i−2i-11-11003−33−3000000−i3i3−i3i3−ii−ii0000000022-2-2-12001-2-1-2213−33−32i−2i2i−2i-11-11003−33−3000000−i3i3−i3i3−ii−ii00000000
χ2822-2-2-12001-2-1-2213−33−3−2i2i−2i2i-11-11003−33−3000000i3−i3i3−i3i−ii−i0000000022-2-2-12001-2-1-2213−33−3−2i2i−2i2i-11-11003−33−3000000i3−i3i3−i3i−ii−i0000000022-2-2-12001-2-1-2213−33−3−2i2i−2i2i-11-11003−33−3000000i3−i3i3−i3i−ii−i00000000
χ2922-2-2-12001-2-1-221−33−332i−2i2i−2i-11-1100−33−33000000i3−i3i3−i3−ii−ii0000000022-2-2-12001-2-1-221−33−332i−2i2i−2i-11-1100−33−33000000i3−i3i3−i3−ii−ii0000000022-2-2-12001-2-1-221−33−332i−2i2i−2i-11-1100−33−33000000i3−i3i3−i3−ii−ii00000000
χ3022-2-2-12001-2-1-221−33−33−2i2i−2i2i-11-1100−33−33000000−i3i3−i3i3i−ii−i0000000022-2-2-12001-2-1-221−33−33−2i2i−2i2i-11-1100−33−33000000−i3i3−i3i3i−ii−i0000000022-2-2-12001-2-1-221−33−33−2i2i−2i2i-11-1100−33−33000000−i3i3−i3i3i−ii−i00000000
χ312-22-22-12i−2i2-1-211-22i2i−2i−2i0000-1-111−ii−i−iii002-22i−2i00000000-11−ii00002-22-22-12i−2i2-1-211-22i2i−2i−2i0000-1-111−ii−i−iii002-22i−2i00000000-11−ii00002-22-22-12i−2i2-1-211-22i2i−2i−2i0000-1-111−ii−i−iii002-22i−2i00000000-11−ii0000
χ322-22-22-12i−2i2-1-211-22i2i−2i−2i0000-1-111−ii−i−iii00-22−2i2i000000001-1i−i00002-22-22-12i−2i2-1-211-22i2i−2i−2i0000-1-111−ii−i−iii00-22−2i2i000000001-1i−i00002-22-22-12i−2i2-1-211-22i2i−2i−2i0000-1-111−ii−i−iii00-22−2i2i000000001-1i−i0000
χ332-22-22-1−2i2i2-1-211-2−2i−2i2i2i0000-1-111i−iii−i−i002-2−2i2i00000000-11i−i00002-22-22-1−2i2i2-1-211-2−2i−2i2i2i0000-1-111i−iii−i−i002-2−2i2i00000000-11i−i00002-22-22-1−2i2i2-1-211-2−2i−2i2i2i0000-1-111i−iii−i−i002-2−2i2i00000000-11i−i0000
χ342-22-22-1−2i2i2-1-211-2−2i−2i2i2i0000-1-111i−iii−i−i00-222i−2i000000001-1−ii00002-22-22-1−2i2i2-1-211-2−2i−2i2i2i0000-1-111i−iii−i−i00-222i−2i000000001-1−ii00002-22-22-1−2i2i2-1-211-2−2i−2i2i2i0000-1-111i−iii−i−i00-222i−2i000000001-1−ii0000
χ352-22-2-122i−2i-121-2-21−i−iii2i2i−2i−2i-1-1112i−2i−i−iii2-20000-1-111−i−iii000000002-22-2-122i−2i-121-2-21−i−iii2i2i−2i−2i-1-1112i−2i−i−iii2-20000-1-111−i−iii000000002-22-2-122i−2i-121-2-21−i−iii2i2i−2i−2i-1-1112i−2i−i−iii2-20000-1-111−i−iii00000000
χ362-22-2-122i−2i-121-2-21−i−iii−2i−2i2i2i-1-1112i−2i−i−iii-22000011-1-1ii−i−i000000002-22-2-122i−2i-121-2-21−i−iii−2i−2i2i2i-1-1112i−2i−i−iii-22000011-1-1ii−i−i000000002-22-2-122i−2i-121-2-21−i−iii−2i−2i2i2i-1-1112i−2i−i−iii-22000011-1-1ii−i−i00000000
χ372-22-2-12−2i2i-121-2-21ii−i−i2i2i−2i−2i-1-111−2i2iii−i−i-22000011-1-1−i−iii000000002-22-2-12−2i2i-121-2-21ii−i−i2i2i−2i−2i-1-111−2i2iii−i−i-22000011-1-1−i−iii000000002-22-2-12−2i2i-121-2-21ii−i−i2i2i−2i−2i-1-111−2i2iii−i−i-22000011-1-1−i−iii00000000
χ382-22-2-12−2i2i-121-2-21ii−i−i−2i−2i2i2i-1-111−2i2iii−i−i2-20000-1-111ii−i−i000000002-22-2-12−2i2i-121-2-21ii−i−i−2i−2i2i2i-1-111−2i2iii−i−i2-20000-1-111ii−i−i000000002-22-2-12−2i2i-121-2-21ii−i−i−2i−2i2i2i-1-111−2i2iii−i−i2-20000-1-111ii−i−i00000000
χ392-2-222200-2-2-22-2200002-2-222-2-2200000000000000002-2-22000000002-2-222200-2-2-22-2200002-2-222-2-2200000000000000002-2-22000000002-2-222200-2-2-22-2200002-2-222-2-2200000000000000002-2-2200000000
χ402-2-222200-2-2-22-220000-222-22-2-220000000000000000-222-2000000002-2-222200-2-2-22-220000-222-22-2-220000000000000000-222-2000000002-2-222200-2-2-22-220000-222-22-2-220000000000000000-222-200000000
χ412-2-22-12001-212-2-1−i3i3i3−i32-2-22-111-100−i3i3i3−i3000000−i3i3i3−i3-111-1000000002-2-22-12001-212-2-1−i3i3i3−i32-2-22-111-100−i3i3i3−i3000000−i3i3i3−i3-111-1000000002-2-22-12001-212-2-1−i3i3i3−i32-2-22-111-100−i3i3i3−i3000000−i3i3i3−i3-111-100000000
χ422-2-22-12001-212-2-1−i3i3i3−i3-222-2-111-100−i3i3i3−i3000000i3−i3−i3i31-1-11000000002-2-22-12001-212-2-1−i3i3i3−i3-222-2-111-100−i3i3i3−i3000000i3−i3−i3i31-1-11000000002-2-22-12001-212-2-1−i3i3i3−i3-222-2-111-100−i3i3i3−i3000000i3−i3−i3i31-1-1100000000
χ432-2-22-12001-212-2-1i3−i3−i3i32-2-22-111-100i3−i3−i3i3000000i3−i3−i3i3-111-1000000002-2-22-12001-212-2-1i3−i3−i3i32-2-22-111-100i3−i3−i3i3000000i3−i3−i3i3-111-1000000002-2-22-12001-212-2-1i3−i3−i3i32-2-22-111-100i3−i3−i3i3000000i3−i3−i3i3-111-100000000
χ442-2-22-12001-212-2-1i3−i3−i3i3-222-2-111-100i3−i3−i3i3000000−i3i3i3−i31-1-11000000002-2-22-12001-212-2-1i3−i3−i3i3-222-2-111-100i3−i3−i3i3000000−i3i3i3−i31-1-11000000002-2-22-12001-212-2-1i3−i3−i3i3-222-2-111-100i3−i3−i3i3000000−i3i3i3−i31-1-1100000000
χ454444-2-244-2-2-2-2-2-2-2-2-2-200001111-2-2111100000000000000000000004444-2-244-2-2-2-2-2-2-2-2-2-200001111-2-2111100000000000000000000004444-2-244-2-2-2-2-2-2-2-2-2-200001111-2-211110000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-222220000111122-1-1-1-100000000000000000000004444-2-2-4-4-2-2-2-2-2-222220000111122-1-1-1-100000000000000000000004444-2-2-4-4-2-2-2-2-2-222220000111122-1-1-1-10000000000000000000000
χ4744-4-44-200-4242-2-400000000-22-22000000000000000000000000000044-4-44-200-4242-2-400000000-22-22000000000000000000000000000044-4-44-200-4242-2-400000000-22-220000000000000000000000000000
χ4844-4-4-2-20022-22-2223−2323−2300001-11-100−33−33000000000000000000000044-4-4-2-20022-22-2223−2323−2300001-11-100−33−33000000000000000000000044-4-4-2-20022-22-2223−2323−2300001-11-100−33−330000000000000000000000
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χ7122222-1222-12-1-1222220000-1-1-1-1-1-1-1-1-1-100222200000000-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i320000
χ7222222-1222-12-1-1222220000-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000011110000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i320000
χ7322222-1-2-22-12-1-12-2-2-2-20000-1-1-1-11111110022-2-200000000-1-1110000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i31−i31−i31−i300001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i31−i31−i3000000001−i321−i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i31+i31+i31+i300001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i31+i31+i3000000001+i321+i32−1−i32−1−i320000
χ7422222-1-2-22-12-1-12-2-2-2-20000-1-1-1-111111100-2-2220000000011-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i31−i31−i31−i300001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32001−i31−i3−1+i3−1+i300000000−1+i32−1+i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i31+i31+i31+i300001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32001+i31+i3−1−i3−1−i300000000−1−i32−1−i321+i321+i320000
χ752222-1222-12-122-1-1-1-1-12222-1-1-1-122-1-1-1-1220000-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ762222-1222-12-122-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-200001111111100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i30000−1+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+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i30000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
χ772222-12-2-2-12-122-111112222-1-1-1-1-2-21111-2-200001111-1-1-1-100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i30000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i30000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000
χ782222-12-2-2-12-122-11111-2-2-2-2-1-1-1-1-2-21111220000-1-1-1-1111100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i31−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i300001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i31+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i300001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
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χ8022-2-22200-2-22-22-20000−2i2i−2i2i2-22-20000000000000000−2i2i−2i2i00000000−1+i3−1+i31−i31−i3−1+i3−1+i3001−i31−i3−1+i31−i3−1+i31−i30000−2ζ72ζ7−2ζ72ζ7−1+i31−i3−1+i31−i30000000000000000−2ζ72ζ7−2ζ72ζ700000000−1−i3−1−i31+i31+i3−1−i3−1−i3001+i31+i3−1−i31+i3−1−i31+i30000−2ζ112ζ11−2ζ112ζ11−1−i31+i3−1−i31+i30000000000000000−2ζ112ζ11−2ζ112ζ1100000000
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χ114111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ115111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1−1−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+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ116111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111−1−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+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−i32−1−i32−1−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+i321−i321−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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
χ1171-11-111i−i11-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i−1−i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11−1−i321+i32ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7−1+i321−i32ζ7−ζ7
χ1181-11-111i−i11-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i1-1-11−ii11-1-1ii−i−i-11−ii-11−ii−1−i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ111+i32−1−i32−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ71−i32−1+i32−ζ7ζ7
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χ1201-11-111i−i11-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-11-11−ii-1-111−i−iii-11−ii1-1i−i−1−i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32−ζ11ζ11−1−i321+i32ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32−ζ7ζ7−1+i321−i32ζ7−ζ7
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χ1221-11-111−ii11-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-11-11i−i-1-111ii−i−i-11i−i1-1−ii−1−i321+i32−1−i321+i32−1−i32−1−i32−ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ11−1−i321+i32−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32−1+i32−ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ7−1+i321−i32−ζ7ζ7
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χ12522222-1222-12-1-1222220000-1-1-1-1-1-1-1-1-1-100222200000000-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i320000
χ12622222-1222-12-1-1222220000-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000011110000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i320000
χ12722222-1-2-22-12-1-12-2-2-2-20000-1-1-1-11111110022-2-200000000-1-1110000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i31+i31+i31+i300001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i31+i31+i3000000001+i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i31−i31−i31−i300001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i31−i31−i3000000001−i321−i32−1+i32−1+i320000
χ12822222-1-2-22-12-1-12-2-2-2-20000-1-1-1-111111100-2-2220000000011-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i31+i31+i31+i300001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32001+i31+i3−1−i3−1−i300000000−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i31−i31−i31−i300001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32001−i31−i3−1+i3−1+i300000000−1+i32−1+i321−i321−i320000
χ1292222-1222-12-122-1-1-1-1-12222-1-1-1-122-1-1-1-1220000-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ1302222-1222-12-122-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-200001111111100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i30000−1−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−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i30000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
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χ15544-4-44-200-4242-2-400000000-22-220000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3002+2i3−1−i3−2−2i3−1−i31+i32+2i3000000001+i3−1−i31+i3−1−i30000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3002−2i3−1+i3−2+2i3−1+i31−i32−2i3000000001−i3−1+i31−i3−1+i30000000000000000000000000000
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χ1584-44-4-2-24i−4i-2-22222−2i−2i2i2i000011-1-1−2i2iii−i−i0000000000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i34ζ11−4ζ111+i31+i3−1−i3−1−i3−1−i3−1−i3−2ζ11−2ζ112ζ112ζ110000−1−i32−1−i321+i321+i32−2ζ112ζ11ζ11ζ11−ζ11−ζ110000000000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i34ζ7−4ζ71−i31−i3−1+i3−1+i3−1+i3−1+i3−2ζ7−2ζ72ζ72ζ70000−1+i32−1+i321−i321−i32−2ζ72ζ7ζ7ζ7−ζ7−ζ70000000000000000000000
χ1594-44-4-2-2−4i4i-2-222222i2i−2i−2i000011-1-12i−2i−i−iii0000000000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i3−4ζ114ζ111+i31+i3−1−i3−1−i3−1−i3−1−i32ζ112ζ11−2ζ11−2ζ110000−1−i32−1−i321+i321+i322ζ11−2ζ11−ζ11−ζ11ζ11ζ110000000000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i3−4ζ74ζ71−i31−i3−1+i3−1+i3−1+i3−1+i32ζ72ζ7−2ζ7−2ζ70000−1+i32−1+i321−i321−i322ζ7−2ζ7−ζ7−ζ7ζ7ζ70000000000000000000000
χ1604-4-444-200-42-4-22400000000-222-20000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i31+i3002+2i3−1−i32+2i31+i3−1−i3−2−2i3000000001+i3−1−i3−1−i31+i30000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i31−i3002−2i3−1+i32−2i31−i3−1+i3−2+2i3000000001−i3−1+i3−1+i31−i30000000000000000000000000000
χ1614-4-44-2-200222-22-2−2i32i32i3−2i300001-1-1100i3−i3−i3i30000000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i300−1−i3−1−i3−1−i31+i3−1−i31+i3−3+i33−i33−i3−3+i30000−1−i321+i321+i32−1−i32003−i32−3+i32−3+i323−i320000000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i300−1+i3−1+i3−1+i31−i3−1+i31−i33+i3−3−i3−3−i33+i30000−1+i321−i321−i32−1+i3200−3−i323+i323+i32−3−i320000000000000000000000
χ1624-4-44-2-200222-22-22i3−2i3−2i32i300001-1-1100−i3i3i3−i30000000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i300−1−i3−1−i3−1−i31+i3−1−i31+i33−i3−3+i3−3+i33−i30000−1−i321+i321+i32−1−i3200−3+i323−i323−i32−3+i320000000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i300−1+i3−1+i3−1+i31−i3−1+i31−i3−3−i33+i33+i3−3−i30000−1+i321−i321−i32−1+i32003+i32−3−i32−3−i323+i320000000000000000000000

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