Finite Group Databasebeta

← Group #13170702

Character table — Group #13170702

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222222233334444444444666666666666661212121218181818222244444444444444666688888888881212121212121212121212121212242424243636363633336666666666666699991212121212121212121218181818181818181818181818183636363654545454
order12223344666666121212124444366612121212121222444412121212121212126612124444366633121266666612121212121212123666121212121212661212121212121212121212126612121212121222226644666666121212124444666612121212121222444412121212121212126612124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ5111111-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111
χ6111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ7111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ8111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ91-1-1111i−i1-1-11-1-1ii−i−i11-1-111-1-1i−iii−i−i1-1i−ii−i11-1-1ii−i−i1-1i−ii−i1-11-1-1111i−i1-1-11-1-1ii−i−i11-1-111-1-1i−iii−i−i1-1i−ii−i11-1-1ii−i−i1-1i−ii−i1-11-1-1111i−i1-1-11-1-1ii−i−i11-1-111-1-1i−iii−i−i1-1i−ii−i11-1-1ii−i−i1-1i−ii−i1-1
χ101-1-1111i−i1-1-11-1-1ii−i−i11-1-111-1-1i−iii−i−i-11i−i−ii11-1-1ii−i−i-11−ii−ii-111-1-1111i−i1-1-11-1-1ii−i−i11-1-111-1-1i−iii−i−i-11i−i−ii11-1-1ii−i−i-11−ii−ii-111-1-1111i−i1-1-11-1-1ii−i−i11-1-111-1-1i−iii−i−i-11i−i−ii11-1-1ii−i−i-11−ii−ii-11
χ111-1-1111i−i1-1-11-1-1ii−i−i-1-11111-1-1i−iii−i−i1-1−iii−i-1-111−i−iii1-1i−i−ii-111-1-1111i−i1-1-11-1-1ii−i−i-1-11111-1-1i−iii−i−i1-1−iii−i-1-111−i−iii1-1i−i−ii-111-1-1111i−i1-1-11-1-1ii−i−i-1-11111-1-1i−iii−i−i1-1−iii−i-1-111−i−iii1-1i−i−ii-11
χ121-1-1111i−i1-1-11-1-1ii−i−i-1-11111-1-1i−iii−i−i-11−ii−ii-1-111−i−iii-11−iii−i1-11-1-1111i−i1-1-11-1-1ii−i−i-1-11111-1-1i−iii−i−i-11−ii−ii-1-111−i−iii-11−iii−i1-11-1-1111i−i1-1-11-1-1ii−i−i-1-11111-1-1i−iii−i−i-11−ii−ii-1-111−i−iii-11−iii−i1-1
χ131-1-1111−ii1-1-11-1-1−i−iii11-1-111-1-1−ii−i−iii1-1−ii−ii11-1-1−i−iii1-1−ii−ii1-11-1-1111−ii1-1-11-1-1−i−iii11-1-111-1-1−ii−i−iii1-1−ii−ii11-1-1−i−iii1-1−ii−ii1-11-1-1111−ii1-1-11-1-1−i−iii11-1-111-1-1−ii−i−iii1-1−ii−ii11-1-1−i−iii1-1−ii−ii1-1
χ141-1-1111−ii1-1-11-1-1−i−iii11-1-111-1-1−ii−i−iii-11−iii−i11-1-1−i−iii-11i−ii−i-111-1-1111−ii1-1-11-1-1−i−iii11-1-111-1-1−ii−i−iii-11−iii−i11-1-1−i−iii-11i−ii−i-111-1-1111−ii1-1-11-1-1−i−iii11-1-111-1-1−ii−i−iii-11−iii−i11-1-1−i−iii-11i−ii−i-11
χ151-1-1111−ii1-1-11-1-1−i−iii-1-11111-1-1−ii−i−iii1-1i−i−ii-1-111ii−i−i1-1−iii−i-111-1-1111−ii1-1-11-1-1−i−iii-1-11111-1-1−ii−i−iii1-1i−i−ii-1-111ii−i−i1-1−iii−i-111-1-1111−ii1-1-11-1-1−i−iii-1-11111-1-1−ii−i−iii1-1i−i−ii-1-111ii−i−i1-1−iii−i-11
χ161-1-1111−ii1-1-11-1-1−i−iii-1-11111-1-1−ii−i−iii-11i−ii−i-1-111ii−i−i-11i−i−ii1-11-1-1111−ii1-1-11-1-1−i−iii-1-11111-1-1−ii−i−iii-11i−ii−i-1-111ii−i−i-11i−i−ii1-11-1-1111−ii1-1-11-1-1−i−iii-1-11111-1-1−ii−i−iii-11i−ii−i-1-111ii−i−i-11i−i−ii1-1
χ1722222-122-12-122-122220000-1-1-1-1-1-1-1-1-1-122002200000000-1-1-1-1000022222-122-12-122-122220000-1-1-1-1-1-1-1-1-1-122002200000000-1-1-1-1000022222-122-12-122-122220000-1-1-1-1-1-1-1-1-1-122002200000000-1-1-1-10000
χ1822222-122-12-122-122220000-1-1-1-1-1-1-1-1-1-1-2-200-2-2000000001111000022222-122-12-122-122220000-1-1-1-1-1-1-1-1-1-1-2-200-2-2000000001111000022222-122-12-122-122220000-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000011110000
χ1922222-1-2-2-12-122-1-2-2-2-20000-1-1-1-11111112200-2-200000000-1-111000022222-1-2-2-12-122-1-2-2-2-20000-1-1-1-11111112200-2-200000000-1-111000022222-1-2-2-12-122-1-2-2-2-20000-1-1-1-11111112200-2-200000000-1-1110000
χ2022222-1-2-2-12-122-1-2-2-2-20000-1-1-1-1111111-2-200220000000011-1-1000022222-1-2-2-12-122-1-2-2-2-20000-1-1-1-1111111-2-200220000000011-1-1000022222-1-2-2-12-122-1-2-2-2-20000-1-1-1-1111111-2-200220000000011-1-10000
χ212222-12222-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1002200-1-1-1-1-1-1-1-1000000002222-12222-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1002200-1-1-1-1-1-1-1-1000000002222-12222-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1002200-1-1-1-1-1-1-1-100000000
χ222222-12222-12-1-12-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-100-2-20011111111000000002222-12222-12-1-12-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-100-2-20011111111000000002222-12222-12-1-12-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-100-2-2001111111100000000
χ232222-12-2-22-12-1-1211112222-1-1-1-1-2-2111100-2-200-1-1-1-11111000000002222-12-2-22-12-1-1211112222-1-1-1-1-2-2111100-2-200-1-1-1-11111000000002222-12-2-22-12-1-1211112222-1-1-1-1-2-2111100-2-200-1-1-1-1111100000000
χ242222-12-2-22-12-1-121111-2-2-2-2-1-1-1-1-2-211110022001111-1-1-1-1000000002222-12-2-22-12-1-121111-2-2-2-2-1-1-1-1-2-211110022001111-1-1-1-1000000002222-12-2-22-12-1-121111-2-2-2-2-1-1-1-1-2-211110022001111-1-1-1-100000000
χ2522-2-22200-2-2-2-22200002i−2i2i−2i2-22-20000000000002i−2i2i−2i00000000000022-2-22200-2-2-2-22200002i−2i2i−2i2-22-20000000000002i−2i2i−2i00000000000022-2-22200-2-2-2-22200002i−2i2i−2i2-22-20000000000002i−2i2i−2i000000000000
χ2622-2-22200-2-2-2-2220000−2i2i−2i2i2-22-2000000000000−2i2i−2i2i00000000000022-2-22200-2-2-2-2220000−2i2i−2i2i2-22-2000000000000−2i2i−2i2i00000000000022-2-22200-2-2-2-2220000−2i2i−2i2i2-22-2000000000000−2i2i−2i2i000000000000
χ2722-2-2-1200-21-21-123−33−32i−2i2i−2i-11-11003−33−3000000−ii−ii−i3i3−i3i30000000022-2-2-1200-21-21-123−33−32i−2i2i−2i-11-11003−33−3000000−ii−ii−i3i3−i3i30000000022-2-2-1200-21-21-123−33−32i−2i2i−2i-11-11003−33−3000000−ii−ii−i3i3−i3i300000000
χ2822-2-2-1200-21-21-123−33−3−2i2i−2i2i-11-11003−33−3000000i−ii−ii3−i3i3−i30000000022-2-2-1200-21-21-123−33−3−2i2i−2i2i-11-11003−33−3000000i−ii−ii3−i3i3−i30000000022-2-2-1200-21-21-123−33−3−2i2i−2i2i-11-11003−33−3000000i−ii−ii3−i3i3−i300000000
χ2922-2-2-1200-21-21-12−33−332i−2i2i−2i-11-1100−33−33000000−ii−iii3−i3i3−i30000000022-2-2-1200-21-21-12−33−332i−2i2i−2i-11-1100−33−33000000−ii−iii3−i3i3−i30000000022-2-2-1200-21-21-12−33−332i−2i2i−2i-11-1100−33−33000000−ii−iii3−i3i3−i300000000
χ3022-2-2-1200-21-21-12−33−33−2i2i−2i2i-11-1100−33−33000000i−ii−i−i3i3−i3i30000000022-2-2-1200-21-21-12−33−33−2i2i−2i2i-11-1100−33−33000000i−ii−i−i3i3−i3i30000000022-2-2-1200-21-21-12−33−33−2i2i−2i2i-11-1100−33−33000000i−ii−i−i3i3−i3i300000000
χ312-22-22200-222-2-2-200002i−2i−2i2i2-2-220000000000002i−2i−2i2i0000000000002-22-22200-222-2-2-200002i−2i−2i2i2-2-220000000000002i−2i−2i2i0000000000002-22-22200-222-2-2-200002i−2i−2i2i2-2-220000000000002i−2i−2i2i000000000000
χ322-22-22200-222-2-2-20000−2i2i2i−2i2-2-22000000000000−2i2i2i−2i0000000000002-22-22200-222-2-2-20000−2i2i2i−2i2-2-22000000000000−2i2i2i−2i0000000000002-22-22200-222-2-2-20000−2i2i2i−2i2-2-22000000000000−2i2i2i−2i000000000000
χ332-22-2-1200-2-1211-2−i3i3i3−i32i−2i−2i2i-111-100−i3i3i3−i3000000−iii−i−333−3000000002-22-2-1200-2-1211-2−i3i3i3−i32i−2i−2i2i-111-100−i3i3i3−i3000000−iii−i−333−3000000002-22-2-1200-2-1211-2−i3i3i3−i32i−2i−2i2i-111-100−i3i3i3−i3000000−iii−i−333−300000000
χ342-22-2-1200-2-1211-2−i3i3i3−i3−2i2i2i−2i-111-100−i3i3i3−i3000000i−i−ii3−3−33000000002-22-2-1200-2-1211-2−i3i3i3−i3−2i2i2i−2i-111-100−i3i3i3−i3000000i−i−ii3−3−33000000002-22-2-1200-2-1211-2−i3i3i3−i3−2i2i2i−2i-111-100−i3i3i3−i3000000i−i−ii3−3−3300000000
χ352-22-2-1200-2-1211-2i3−i3−i3i32i−2i−2i2i-111-100i3−i3−i3i3000000−iii−i3−3−33000000002-22-2-1200-2-1211-2i3−i3−i3i32i−2i−2i2i-111-100i3−i3−i3i3000000−iii−i3−3−33000000002-22-2-1200-2-1211-2i3−i3−i3i32i−2i−2i2i-111-100i3−i3−i3i3000000−iii−i3−3−3300000000
χ362-22-2-1200-2-1211-2i3−i3−i3i3−2i2i2i−2i-111-100i3−i3−i3i3000000i−i−ii−333−3000000002-22-2-1200-2-1211-2i3−i3−i3i3−2i2i2i−2i-111-100i3−i3−i3i3000000i−i−ii−333−3000000002-22-2-1200-2-1211-2i3−i3−i3i3−2i2i2i−2i-111-100i3−i3−i3i3000000i−i−ii−333−300000000
χ372-2-222-12i−2i-1-212-212i2i−2i−2i0000-1-111−ii−i−iii2-2002i−2i00000000-11−ii00002-2-222-12i−2i-1-212-212i2i−2i−2i0000-1-111−ii−i−iii2-2002i−2i00000000-11−ii00002-2-222-12i−2i-1-212-212i2i−2i−2i0000-1-111−ii−i−iii2-2002i−2i00000000-11−ii0000
χ382-2-222-12i−2i-1-212-212i2i−2i−2i0000-1-111−ii−i−iii-2200−2i2i000000001-1i−i00002-2-222-12i−2i-1-212-212i2i−2i−2i0000-1-111−ii−i−iii-2200−2i2i000000001-1i−i00002-2-222-12i−2i-1-212-212i2i−2i−2i0000-1-111−ii−i−iii-2200−2i2i000000001-1i−i0000
χ392-2-222-1−2i2i-1-212-21−2i−2i2i2i0000-1-111i−iii−i−i2-200−2i2i00000000-11i−i00002-2-222-1−2i2i-1-212-21−2i−2i2i2i0000-1-111i−iii−i−i2-200−2i2i00000000-11i−i00002-2-222-1−2i2i-1-212-21−2i−2i2i2i0000-1-111i−iii−i−i2-200−2i2i00000000-11i−i0000
χ402-2-222-1−2i2i-1-212-21−2i−2i2i2i0000-1-111i−iii−i−i-22002i−2i000000001-1−ii00002-2-222-1−2i2i-1-212-21−2i−2i2i2i0000-1-111i−iii−i−i-22002i−2i000000001-1−ii00002-2-222-1−2i2i-1-212-21−2i−2i2i2i0000-1-111i−iii−i−i-22002i−2i000000001-1−ii0000
χ412-2-22-122i−2i21-2-11-2−i−iii22-2-2-1-1112i−2i−i−iii002i−2i00-1-111−i−iii000000002-2-22-122i−2i21-2-11-2−i−iii22-2-2-1-1112i−2i−i−iii002i−2i00-1-111−i−iii000000002-2-22-122i−2i21-2-11-2−i−iii22-2-2-1-1112i−2i−i−iii002i−2i00-1-111−i−iii00000000
χ422-2-22-122i−2i21-2-11-2−i−iii-2-222-1-1112i−2i−i−iii00−2i2i0011-1-1ii−i−i000000002-2-22-122i−2i21-2-11-2−i−iii-2-222-1-1112i−2i−i−iii00−2i2i0011-1-1ii−i−i000000002-2-22-122i−2i21-2-11-2−i−iii-2-222-1-1112i−2i−i−iii00−2i2i0011-1-1ii−i−i00000000
χ432-2-22-12−2i2i21-2-11-2ii−i−i22-2-2-1-111−2i2iii−i−i00−2i2i00-1-111ii−i−i000000002-2-22-12−2i2i21-2-11-2ii−i−i22-2-2-1-111−2i2iii−i−i00−2i2i00-1-111ii−i−i000000002-2-22-12−2i2i21-2-11-2ii−i−i22-2-2-1-111−2i2iii−i−i00−2i2i00-1-111ii−i−i00000000
χ442-2-22-12−2i2i21-2-11-2ii−i−i-2-222-1-111−2i2iii−i−i002i−2i0011-1-1−i−iii000000002-2-22-12−2i2i21-2-11-2ii−i−i-2-222-1-111−2i2iii−i−i002i−2i0011-1-1−i−iii000000002-2-22-12−2i2i21-2-11-2ii−i−i-2-222-1-111−2i2iii−i−i002i−2i0011-1-1−i−iii00000000
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
χ4744-4-44-2002-42-44-200000000-22-22000000000000000000000000000044-4-44-2002-42-44-200000000-22-22000000000000000000000000000044-4-44-2002-42-44-200000000-22-220000000000000000000000000000
χ4844-4-4-2-2002222-2-223−2323−2300001-11-100−33−33000000000000000000000044-4-4-2-2002222-2-223−2323−2300001-11-100−33−33000000000000000000000044-4-4-2-2002222-2-223−2323−2300001-11-100−33−330000000000000000000000
χ4944-4-4-2-2002222-2-2−2323−232300001-11-1003−33−3000000000000000000000044-4-4-2-2002222-2-2−2323−232300001-11-1003−33−3000000000000000000000044-4-4-2-2002222-2-2−2323−232300001-11-1003−33−30000000000000000000000
χ504-44-44-20024-2-4-4200000000-222-200000000000000000000000000004-44-44-20024-2-4-4200000000-222-200000000000000000000000000004-44-44-20024-2-4-4200000000-222-20000000000000000000000000000
χ514-44-4-2-2002-2-2222−2i32i32i3−2i300001-1-1100i3−i3−i3i300000000000000000000004-44-4-2-2002-2-2222−2i32i32i3−2i300001-1-1100i3−i3−i3i300000000000000000000004-44-4-2-2002-2-2222−2i32i32i3−2i300001-1-1100i3−i3−i3i30000000000000000000000
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χ544-4-44-2-2−4i4i-222-2222i2i−2i−2i000011-1-12i−2i−i−iii00000000000000000000004-4-44-2-2−4i4i-222-2222i2i−2i−2i000011-1-12i−2i−i−iii00000000000000000000004-4-44-2-2−4i4i-222-2222i2i−2i−2i000011-1-12i−2i−i−iii0000000000000000000000
χ55111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5611111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
χ57111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111
χ58111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ59111111-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-11111-1-1
χ60111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111
χ61111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ62111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ631-1-1111i−i1-1-11-1-1ii−i−i11-1-111-1-1i−iii−i−i1-1i−ii−i11-1-1ii−i−i1-1i−ii−i1-11-1-1111i−i1-1-11-1-1ii−i−i11-1-111-1-1i−iii−i−i1-1i−ii−i11-1-1ii−i−i1-1i−ii−i1-1-111-1-1-1−ii-111-111−i−iii-1-111-1-111−ii−i−iii-11−ii−ii-1-111−i−iii-11−ii−ii-11
χ641-1-1111i−i1-1-11-1-1ii−i−i11-1-111-1-1i−iii−i−i-11i−i−ii11-1-1ii−i−i-11−ii−ii-111-1-1111i−i1-1-11-1-1ii−i−i11-1-111-1-1i−iii−i−i-11i−i−ii11-1-1ii−i−i-11−ii−ii-11-111-1-1-1−ii-111-111−i−iii-1-111-1-111−ii−i−iii1-1−iii−i-1-111−i−iii1-1i−ii−i1-1
χ651-1-1111i−i1-1-11-1-1ii−i−i-1-11111-1-1i−iii−i−i1-1−iii−i-1-111−i−iii1-1i−i−ii-111-1-1111i−i1-1-11-1-1ii−i−i-1-11111-1-1i−iii−i−i1-1−iii−i-1-111−i−iii1-1i−i−ii-11-111-1-1-1−ii-111-111−i−iii11-1-1-1-111−ii−i−iii-11i−i−ii11-1-1ii−i−i-11−iii−i1-1
χ661-1-1111i−i1-1-11-1-1ii−i−i-1-11111-1-1i−iii−i−i-11−ii−ii-1-111−i−iii-11−iii−i1-11-1-1111i−i1-1-11-1-1ii−i−i-1-11111-1-1i−iii−i−i-11−ii−ii-1-111−i−iii-11−iii−i1-1-111-1-1-1−ii-111-111−i−iii11-1-1-1-111−ii−i−iii1-1i−ii−i11-1-1ii−i−i1-1i−i−ii-11
χ671-1-1111−ii1-1-11-1-1−i−iii11-1-111-1-1−ii−i−iii1-1−ii−ii11-1-1−i−iii1-1−ii−ii1-11-1-1111−ii1-1-11-1-1−i−iii11-1-111-1-1−ii−i−iii1-1−ii−ii11-1-1−i−iii1-1−ii−ii1-1-111-1-1-1i−i-111-111ii−i−i-1-111-1-111i−iii−i−i-11i−ii−i-1-111ii−i−i-11i−ii−i-11
χ681-1-1111−ii1-1-11-1-1−i−iii11-1-111-1-1−ii−i−iii-11−iii−i11-1-1−i−iii-11i−ii−i-111-1-1111−ii1-1-11-1-1−i−iii11-1-111-1-1−ii−i−iii-11−iii−i11-1-1−i−iii-11i−ii−i-11-111-1-1-1i−i-111-111ii−i−i-1-111-1-111i−iii−i−i1-1i−i−ii-1-111ii−i−i1-1−ii−ii1-1
χ691-1-1111−ii1-1-11-1-1−i−iii-1-11111-1-1−ii−i−iii1-1i−i−ii-1-111ii−i−i1-1−iii−i-111-1-1111−ii1-1-11-1-1−i−iii-1-11111-1-1−ii−i−iii1-1i−i−ii-1-111ii−i−i1-1−iii−i-11-111-1-1-1i−i-111-111ii−i−i11-1-1-1-111i−iii−i−i-11−iii−i11-1-1−i−iii-11i−i−ii1-1
χ701-1-1111−ii1-1-11-1-1−i−iii-1-11111-1-1−ii−i−iii-11i−ii−i-1-111ii−i−i-11i−i−ii1-11-1-1111−ii1-1-11-1-1−i−iii-1-11111-1-1−ii−i−iii-11i−ii−i-1-111ii−i−i-11i−i−ii1-1-111-1-1-1i−i-111-111ii−i−i11-1-1-1-111i−iii−i−i1-1−ii−ii11-1-1−i−iii1-1−iii−i-11
χ7122222-122-12-122-122220000-1-1-1-1-1-1-1-1-1-122002200000000-1-1-1-1000022222-122-12-122-122220000-1-1-1-1-1-1-1-1-1-122002200000000-1-1-1-10000-2-2-2-2-21-2-21-21-2-21-2-2-2-200001111111111-2-200-2-20000000011110000
χ7222222-122-12-122-122220000-1-1-1-1-1-1-1-1-1-1-2-200-2-2000000001111000022222-122-12-122-122220000-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000011110000-2-2-2-2-21-2-21-21-2-21-2-2-2-20000111111111122002200000000-1-1-1-10000
χ7322222-1-2-2-12-122-1-2-2-2-20000-1-1-1-11111112200-2-200000000-1-111000022222-1-2-2-12-122-1-2-2-2-20000-1-1-1-11111112200-2-200000000-1-1110000-2-2-2-2-21221-21-2-21222200001111-1-1-1-1-1-1-2-200220000000011-1-10000
χ7422222-1-2-2-12-122-1-2-2-2-20000-1-1-1-1111111-2-200220000000011-1-1000022222-1-2-2-12-122-1-2-2-2-20000-1-1-1-1111111-2-200220000000011-1-10000-2-2-2-2-21221-21-2-21222200001111-1-1-1-1-1-12200-2-200000000-1-1110000
χ752222-12222-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1002200-1-1-1-1-1-1-1-1000000002222-12222-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1002200-1-1-1-1-1-1-1-100000000-2-2-2-21-2-2-2-21-211-21111-2-2-2-21111-2-2111100-2-2001111111100000000
χ762222-12222-12-1-12-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-100-2-20011111111000000002222-12222-12-1-12-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-100-2-2001111111100000000-2-2-2-21-2-2-2-21-211-2111122221111-2-21111002200-1-1-1-1-1-1-1-100000000
χ772222-12-2-22-12-1-1211112222-1-1-1-1-2-2111100-2-200-1-1-1-11111000000002222-12-2-22-12-1-1211112222-1-1-1-1-2-2111100-2-200-1-1-1-1111100000000-2-2-2-21-222-21-211-2-1-1-1-1-2-2-2-2111122-1-1-1-10022001111-1-1-1-100000000
χ782222-12-2-22-12-1-121111-2-2-2-2-1-1-1-1-2-211110022001111-1-1-1-1000000002222-12-2-22-12-1-121111-2-2-2-2-1-1-1-1-2-211110022001111-1-1-1-100000000-2-2-2-21-222-21-211-2-1-1-1-12222111122-1-1-1-100-2-200-1-1-1-1111100000000
χ7922-2-22200-2-2-2-22200002i−2i2i−2i2-22-20000000000002i−2i2i−2i00000000000022-2-22200-2-2-2-22200002i−2i2i−2i2-22-20000000000002i−2i2i−2i000000000000-2-222-2-2002222-2-20000−2i2i−2i2i-22-22000000000000−2i2i−2i2i000000000000
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χ8122-2-2-1200-21-21-123−33−32i−2i2i−2i-11-11003−33−3000000−ii−ii−i3i3−i3i30000000022-2-2-1200-21-21-123−33−32i−2i2i−2i-11-11003−33−3000000−ii−ii−i3i3−i3i300000000-2-2221-2002-12-11-2−33−33−2i2i−2i2i1-11-100−33−33000000i−ii−ii3−i3i3−i300000000
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χ882-22-2-1200-2-1211-2−i3i3i3−i3−2i2i2i−2i-111-100−i3i3i3−i3000000i−i−ii3−3−33000000002-22-2-1200-2-1211-2−i3i3i3−i3−2i2i2i−2i-111-100−i3i3i3−i3000000i−i−ii3−3−3300000000-22-221-20021-2-1-12i3−i3−i3i32i−2i−2i2i1-1-1100i3−i3−i3i3000000−iii−i−333−300000000
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χ952-2-22-122i−2i21-2-11-2−i−iii22-2-2-1-1112i−2i−i−iii002i−2i00-1-111−i−iii000000002-2-22-122i−2i21-2-11-2−i−iii22-2-2-1-1112i−2i−i−iii002i−2i00-1-111−i−iii00000000-222-21-2−2i2i-2-121-12ii−i−i-2-22211-1-1−2i2iii−i−i00−2i2i0011-1-1ii−i−i00000000
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χ1004444-2-2-4-4-2-2-2-2-2-222220000111122-1-1-1-100000000000000000000004444-2-2-4-4-2-2-2-2-2-222220000111122-1-1-1-10000000000000000000000-4-4-4-42244222222-2-2-2-20000-1-1-1-1-2-211110000000000000000000000
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χ1202-2-22222i−2i2-2-22-2-22i2i−2i−2i-2-22222-2-22i−2i2i2i−2i−2i-22−2i2i−2i2i-2-222−2i−2i2i2i-22−2i2i2i−2i2-2-111-1-1-1−ii-111-111−i−iii11-1-1-1-111−ii−i−iii1-1i−ii−i11-1-1ii−i−i1-1i−i−ii-11000000000000000000000000000000000000000000000000000000
χ1212-2-2222−2i2i2-2-22-2-2−2i−2i2i2i22-2-222-2-2−2i2i−2i−2i2i2i2-2−2i2i−2i2i22-2-2−2i−2i2i2i2-2−2i2i−2i2i2-2-111-1-1-1i−i-111-111ii−i−i-1-111-1-111i−iii−i−i-11i−ii−i-1-111ii−i−i-11i−ii−i-11000000000000000000000000000000000000000000000000000000
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χ1434-44-4-2400-4-2422-42i3−2i3−2i32i34i−4i−4i4i-222-2002i3−2i3−2i32i3000000−2i2i2i−2i23−23−232300000000-22-221-20021-2-1-12−i3i3i3−i3−2i2i2i−2i1-1-1100−i3i3i3−i3000000i−i−ii−333−300000000000000000000000000000000000000000000000000000000000000
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χ1494-4-44-244i−4i42-4-22-4−2i−2i2i2i44-4-4-2-2224i−4i−2i−2i2i2i004i−4i00-2-222−2i−2i2i2i00000000-222-21-2−2i2i-2-121-12ii−i−i-2-22211-1-1−2i2iii−i−i00−2i2i0011-1-1ii−i−i00000000000000000000000000000000000000000000000000000000000000
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χ1524-4-44-24−4i4i42-4-22-42i2i−2i−2i-4-444-2-222−4i4i2i2i−2i−2i004i−4i0022-2-2−2i−2i2i2i00000000-222-21-22i−2i-2-121-12−i−iii22-2-211-1-12i−2i−i−iii00−2i2i00-1-111ii−i−i00000000000000000000000000000000000000000000000000000000000000
χ1538888-4-488-4-4-4-4-4-4-4-4-4-400002222-4-422220000000000000000000000-4-4-4-422-4-422222222220000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1548888-4-4-8-8-4-4-4-4-4-444440000222244-2-2-2-20000000000000000000000-4-4-4-42244222222-2-2-2-20000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000000000000000000000
χ15588-8-88-4004-84-88-400000000-44-440000000000000000000000000000-4-444-4200-24-24-42000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1588-88-88-40048-4-8-8400000000-444-40000000000000000000000000000-44-44-4200-2-4244-2000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-88-8-4-4004-4-4444−4i34i34i3−4i300002-2-22002i3−2i3−2i32i30000000000000000000000-44-442200-222-2-2-22i3−2i3−2i32i30000-111-100−i3i3i3−i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-88-8-4-4004-4-44444i3−4i3−4i34i300002-2-2200−2i32i32i3−2i30000000000000000000000-44-442200-222-2-2-2−2i32i32i3−2i30000-111-100i3−i3−i3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-88-4-48i−8i-444-444−4i−4i4i4i000022-2-2−4i4i2i2i−2i−2i0000000000000000000000-444-422−4i4i2-2-22-2-22i2i−2i−2i0000-1-1112i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-88-4-4−8i8i-444-4444i4i−4i−4i000022-2-24i−4i−2i−2i2i2i0000000000000000000000-444-4224i−4i2-2-22-2-2−2i−2i2i2i0000-1-111−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).