Finite Group Databasebeta

← Group #11922798

Character table — Group #11922798

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122333344668888121212121212121212121616161616162424242411112233334466888812121212121212121212161616161616242424241111223333446688881212121212121212121216161616161624242424
order12442422442424361212248888888866612121224443612126126612126126123612126122424242424242424666121212612121236121261266121261261236121261224242424242424246661212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111-1-1111111-1-1111111111-1-11-1-1-1-1-1-11111111111-1-1111111-1-1111111111-1-11-1-1-1-1-1-11111111111-1-1111111-1-1111111111-1-11-1-1-1-1-1-1
χ41111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111
χ511-1-1-1111-1-11-1-1111-1-11-111-1-111-1-1-1111-1-11-11-111-1-1-1111-1-11-1-1111-1-11-111-1-111-1-1-1111-1-11-11-111-1-1-1111-1-11-1-1111-1-11-111-1-111-1-1-1111-1-11-11-1
χ611-1-1-1111-1-11-1-1111-1-11-1-1-111-1-111-1111-1-1-11-1111-1-1-1111-1-11-1-1111-1-11-1-1-111-1-111-1111-1-1-11-1111-1-1-1111-1-11-1-1111-1-11-1-1-111-1-111-1111-1-1-11-11
χ711-1-1-1111-1-1-11-1111-1-1-1111-1-111-1-1-1-1-1111-11-1111-1-1-1111-1-1-11-1111-1-1-1111-1-111-1-1-1-1-1111-11-1111-1-1-1111-1-1-11-1111-1-1-1111-1-111-1-1-1-1-1111-11-11
χ811-1-1-1111-1-1-11-1111-1-1-11-1-111-1-111-1-1-11111-11-111-1-1-1111-1-1-11-1111-1-1-11-1-111-1-111-1-1-11111-11-111-1-1-1111-1-1-11-1111-1-1-11-1-111-1-111-1-1-11111-11-1
χ922222222222222-1-1-1-12200000000-1-1-1-1-1-1000022222222222222-1-1-1-12200000000-1-1-1-1-1-1000022222222222222-1-1-1-12200000000-1-1-1-1-1-10000
χ102222222222-2-222-1-1-1-1-2-200000000-111-11100002222222222-2-222-1-1-1-1-2-200000000-111-11100002222222222-2-222-1-1-1-1-2-200000000-111-1110000
χ112222-2-2222200-2-222220000000000-200-20000002222-2-2222200-2-222220000000000-200-20000002222-2-2222200-2-222220000000000-200-2000000
χ122222-2-2222200-2-2-1-1-1-100000000001−i3i31−i3i300002222-2-2222200-2-2-1-1-1-100000000001−i3i31−i3i300002222-2-2222200-2-2-1-1-1-100000000001−i3i31−i3i30000
χ132222-2-2222200-2-2-1-1-1-100000000001i3−i31i3−i300002222-2-2222200-2-2-1-1-1-100000000001i3−i31i3−i300002222-2-2222200-2-2-1-1-1-100000000001i3−i31i3−i30000
χ1422-2-22-222-2-2002-222-2-20000000000200-200000022-2-22-222-2-2002-222-2-20000000000200-200000022-2-22-222-2-2002-222-2-20000000000200-2000000
χ1522-2-22-222-2-2002-2-1-1110000000000-1−i3i31i3−i3000022-2-22-222-2-2002-2-1-1110000000000-1−i3i31i3−i3000022-2-22-222-2-2002-2-1-1110000000000-1−i3i31i3−i30000
χ1622-2-22-222-2-2002-2-1-1110000000000-1i3−i31−i3i3000022-2-22-222-2-2002-2-1-1110000000000-1i3−i31−i3i3000022-2-22-222-2-2002-2-1-1110000000000-1i3−i31−i3i30000
χ1722-2-2-2222-2-22-2-22-1-1112-2000000001-1-1-111000022-2-2-2222-2-22-2-22-1-1112-2000000001-1-1-111000022-2-2-2222-2-22-2-22-1-1112-2000000001-1-1-1110000
χ1822-2-2-2222-2-2-22-22-1-111-2200000000111-1-1-1000022-2-2-2222-2-2-22-22-1-111-2200000000111-1-1-1000022-2-2-2222-2-2-22-22-1-111-2200000000111-1-1-10000
χ192-22i−2i002-22i−2i00002-22i−2i002−2−i2i22−2−i2i200000000002-22i−2i002-22i−2i00002-22i−2i002−2−i2i22−2−i2i200000000002-22i−2i002-22i−2i00002-22i−2i002−2−i2i22−2−i2i20000000000
χ202-22i−2i002-22i−2i00002-22i−2i00−22i2−i2−22i2−i200000000002-22i−2i002-22i−2i00002-22i−2i00−22i2−i2−22i2−i200000000002-22i−2i002-22i−2i00002-22i−2i00−22i2−i2−22i2−i20000000000
χ212-2−2i2i002-2−2i2i00002-2−2i2i002−2i2−i22−2i2−i200000000002-2−2i2i002-2−2i2i00002-2−2i2i002−2i2−i22−2i2−i200000000002-2−2i2i002-2−2i2i00002-2−2i2i002−2i2−i22−2i2−i20000000000
χ222-2−2i2i002-2−2i2i00002-2−2i2i00−22−i2i2−22−i2i200000000002-2−2i2i002-2−2i2i00002-2−2i2i00−22−i2i2−22−i2i200000000002-2−2i2i002-2−2i2i00002-2−2i2i00−22−i2i2−22−i2i20000000000
χ23333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1
χ24333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111
χ25333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111
χ26333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1
χ2733-3-3-33-1-1113-31-10000-1111-1-1-1-1110000001-1-1133-3-3-33-1-1113-31-10000-1111-1-1-1-1110000001-1-1133-3-3-33-1-1113-31-10000-1111-1-1-1-1110000001-1-11
χ2833-3-3-33-1-1113-31-10000-11-1-11111-1-1000000-111-133-3-3-33-1-1113-31-10000-11-1-11111-1-1000000-111-133-3-3-33-1-1113-31-10000-11-1-11111-1-1000000-111-1
χ2933-3-3-33-1-111-331-100001-111-1-1-1-111000000-111-133-3-3-33-1-111-331-100001-111-1-1-1-111000000-111-133-3-3-33-1-111-331-100001-111-1-1-1-111000000-111-1
χ3033-3-3-33-1-111-331-100001-1-1-11111-1-10000001-1-1133-3-3-33-1-111-331-100001-1-1-11111-1-10000001-1-1133-3-3-33-1-111-331-100001-1-1-11111-1-10000001-1-11
χ314-44i−4i004-44i−4i0000-22−2i2i000000000000000000004-44i−4i004-44i−4i0000-22−2i2i000000000000000000004-44i−4i004-44i−4i0000-22−2i2i00000000000000000000
χ324-4−4i4i004-4−4i4i0000-222i−2i000000000000000000004-4−4i4i004-4−4i4i0000-222i−2i000000000000000000004-4−4i4i004-4−4i4i0000-222i−2i00000000000000000000
χ336666-6-6-2-2-2-200220000000000000000000000006666-6-6-2-2-2-200220000000000000000000000006666-6-6-2-2-2-20022000000000000000000000000
χ3466-6-66-6-2-22200-2200000000000000000000000066-6-66-6-2-22200-2200000000000000000000000066-6-66-6-2-22200-22000000000000000000000000
χ356-66i−6i00-22−2i2i00000000002−2−i2i2−22i2−i200000000006-66i−6i00-22−2i2i00000000002−2−i2i2−22i2−i200000000006-66i−6i00-22−2i2i00000000002−2−i2i2−22i2−i20000000000
χ366-66i−6i00-22−2i2i0000000000−22i2−i22−2−i2i200000000006-66i−6i00-22−2i2i0000000000−22i2−i22−2−i2i200000000006-66i−6i00-22−2i2i0000000000−22i2−i22−2−i2i20000000000
χ376-6−6i6i00-222i−2i00000000002−2i2−i2−22−i2i200000000006-6−6i6i00-222i−2i00000000002−2i2−i2−22−i2i200000000006-6−6i6i00-222i−2i00000000002−2i2−i2−22−i2i20000000000
χ386-6−6i6i00-222i−2i0000000000−22−i2i22−2i2−i200000000006-6−6i6i00-222i−2i0000000000−22−i2i22−2i2−i200000000006-6−6i6i00-222i−2i0000000000−22−i2i22−2i2−i20000000000
χ3911111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4011111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−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−i321+i321+i321+i321+i32
χ411111111111-1-1111111-1-1111111111-1-11-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32
χ421111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ4311-1-1-1111-1-11-1-1111-1-11-111-1-111-1-1-1111-1-11-11-1−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ4411-1-1-1111-1-11-1-1111-1-11-1-1-111-1-111-1111-1-1-11-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ4511-1-1-1111-1-1-11-1111-1-1-1111-1-111-1-1-1-1-1111-11-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32
χ4611-1-1-1111-1-1-11-1111-1-1-11-1-111-1-111-1-1-11111-11-1−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ4722222222222222-1-1-1-12200000000-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i320000
χ482222222222-2-222-1-1-1-1-2-200000000-111-1110000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3000000001−i32−1+i32−1+i321−i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3000000001+i32−1−i32−1−i321+i32−1−i32−1−i320000
χ492222-2-2222200-2-222220000000000-200-2000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i3−1+i3−1+i3−1+i3−1+i300000000001−i3001−i3000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i3−1−i3−1−i3−1−i3−1−i300000000001+i3001+i3000000
χ502222-2-2222200-2-2-1-1-1-100000000001−i3i31−i3i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i321−i321−i321−i320000000000−1+i323+i32−3−i32−1+i323+i32−3−i320000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i321+i321+i321+i320000000000−1−i32−3+i323−i32−1−i32−3+i323−i320000
χ512222-2-2222200-2-2-1-1-1-100000000001i3−i31i3−i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i321−i321−i321−i320000000000−1+i32−3−i323+i32−1+i32−3−i323+i320000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i321+i321+i321+i320000000000−1−i323−i32−3+i32−1−i323−i32−3+i320000
χ5222-2-22-222-2-2002-222-2-20000000000200-2000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i300−1+i31−i3−1+i3−1+i31−i31−i30000000000−1+i3001−i3000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i300−1−i31+i3−1−i3−1−i31+i31+i30000000000−1−i3001+i3000000
χ5322-2-22-222-2-2002-2-1-1110000000000-1−i3i31i3−i30000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i300−1+i31−i31−i321−i32−1+i32−1+i3200000000001−i323+i32−3−i32−1+i32−3−i323+i320000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i300−1−i31+i31+i321+i32−1−i32−1−i3200000000001+i32−3+i323−i32−1−i323−i32−3+i320000
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χ5522-2-2-2222-2-22-2-22-1-1112-2000000001-1-1-1110000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i31−i300000000−1+i321−i321−i321−i32−1+i32−1+i320000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i31+i300000000−1−i321+i321+i321+i32−1−i32−1−i320000
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χ61333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000−1−i32−1−i321+i321+i32
χ62333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i3200001−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i3200001+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i32−1−i32−1−i32
χ63333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i323−3i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i323+3i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000001+i321+i32−1−i32−1−i32
χ64333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i323−3i321−i321−i320000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i323+3i321+i321+i320000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i321+i321+i32
χ6533-3-3-33-1-1113-31-10000-1111-1-1-1-1110000001-1-11−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i32−1+i32−1+i32−3+3i323−3i32−1+i321−i3200001−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000000−1+i321−i321−i32−1+i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i32−1−i32−1−i32−3−3i323+3i32−1−i321+i3200001+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000000−1−i321+i321+i32−1−i32
χ6633-3-3-33-1-1113-31-10000-11-1-11111-1-1000000-111-1−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i32−1+i32−1+i32−3+3i323−3i32−1+i321−i3200001−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000001−i32−1+i32−1+i321−i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i32−1−i32−1−i32−3−3i323+3i32−1−i321+i3200001+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000001+i32−1−i32−1−i321+i32
χ6733-3-3-33-1-111-331-100001-111-1-1-1-111000000-111-1−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i32−1+i32−1+i323−3i32−3+3i32−1+i321−i320000−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i320000001−i32−1+i32−1+i321−i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i32−1−i32−1−i323+3i32−3−3i32−1−i321+i320000−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i320000001+i32−1−i32−1−i321+i32
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χ8111-1-1-1111-1-11-1-1111-1-11-111-1-111-1-1-1111-1-11-11-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ8211-1-1-1111-1-11-1-1111-1-11-1-1-111-1-111-1111-1-1-11-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ8311-1-1-1111-1-1-11-1111-1-1-1111-1-111-1-1-1-1-1111-11-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ8411-1-1-1111-1-1-11-1111-1-1-11-1-111-1-111-1-1-11111-11-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ8522222222222222-1-1-1-12200000000-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i320000
χ862222222222-2-222-1-1-1-1-2-200000000-111-1110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3000000001+i32−1−i32−1−i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3000000001−i32−1+i32−1+i321−i32−1+i32−1+i320000
χ872222-2-2222200-2-222220000000000-200-2000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i3−1−i3−1−i3−1−i3−1−i300000000001+i3001+i3000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i3−1+i3−1+i3−1+i3−1+i300000000001−i3001−i3000000
χ882222-2-2222200-2-2-1-1-1-100000000001−i3i31−i3i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i321+i321+i321+i320000000000−1−i32−3+i323−i32−1−i32−3+i323−i320000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i321−i321−i321−i320000000000−1+i323+i32−3−i32−1+i323+i32−3−i320000
χ892222-2-2222200-2-2-1-1-1-100000000001i3−i31i3−i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i321+i321+i321+i320000000000−1−i323−i32−3+i32−1−i323−i32−3+i320000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i321−i321−i321−i320000000000−1+i32−3−i323+i32−1+i32−3−i323+i320000
χ9022-2-22-222-2-2002-222-2-20000000000200-2000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i300−1−i31+i3−1−i3−1−i31+i31+i30000000000−1−i3001+i3000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i300−1+i31−i3−1+i3−1+i31−i31−i30000000000−1+i3001−i3000000
χ9122-2-22-222-2-2002-2-1-1110000000000-1−i3i31i3−i30000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i300−1−i31+i31+i321+i32−1−i32−1−i3200000000001+i32−3+i323−i32−1−i323−i32−3+i320000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i300−1+i31−i31−i321−i32−1+i32−1+i3200000000001−i323+i32−3−i32−1+i32−3−i323+i320000
χ9222-2-22-222-2-2002-2-1-1110000000000-1i3−i31−i3i30000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i300−1−i31+i31+i321+i32−1−i32−1−i3200000000001+i323−i32−3+i32−1−i32−3+i323−i320000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i300−1+i31−i31−i321−i32−1+i32−1+i3200000000001−i32−3−i323+i32−1+i323+i32−3−i320000
χ9322-2-2-2222-2-22-2-22-1-1112-2000000001-1-1-1110000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i31+i300000000−1−i321+i321+i321+i32−1−i32−1−i320000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i31−i300000000−1+i321−i321−i321−i32−1+i32−1+i320000
χ9422-2-2-2222-2-2-22-22-1-111-2200000000111-1-1-10000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i321+i3−1−i300000000−1−i32−1−i32−1−i321+i321+i321+i320000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i321−i3−1+i300000000−1+i32−1+i32−1+i321−i321−i321−i320000
χ952-22i−2i002-22i−2i00002-22i−2i002−2−i2i22−2−i2i20000000000−1−i31+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ220000−1−i31+i32ζ22−2ζ2200−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ130000000000−1+i31−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ140000−1+i31−i32ζ14−2ζ1400ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ230000000000
χ962-22i−2i002-22i−2i00002-22i−2i00−22i2−i2−22i2−i20000000000−1−i31+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ220000−1−i31+i32ζ22−2ζ2200ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ130000000000−1+i31−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ140000−1+i31−i32ζ14−2ζ1400−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ230000000000
χ972-2−2i2i002-2−2i2i00002-2−2i2i002−2i2−i22−2i2−i20000000000−1−i31+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ220000−1−i31+i3−2ζ222ζ2200−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ130000000000−1+i31−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ140000−1+i31−i3−2ζ142ζ1400ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ230000000000
χ982-2−2i2i002-2−2i2i00002-2−2i2i00−22−i2i2−22−i2i20000000000−1−i31+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ220000−1−i31+i3−2ζ222ζ2200ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ130000000000−1+i31−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ140000−1+i31−i3−2ζ142ζ1400−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ230000000000
χ99333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000−1+i32−1+i321−i321−i32
χ100333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i3200001+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i3200001−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i32−1+i32−1+i32
χ101333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i323+3i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i323−3i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000001−i321−i32−1+i32−1+i32
χ102333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i323+3i321+i321+i320000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i323−3i321−i321−i320000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i321−i321−i32
χ10333-3-3-33-1-1113-31-10000-1111-1-1-1-1110000001-1-11−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i32−1−i32−1−i32−3−3i323+3i32−1−i321+i3200001+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000000−1−i321+i321+i32−1−i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i32−1+i32−1+i32−3+3i323−3i32−1+i321−i3200001−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000000−1+i321−i321−i32−1+i32
χ10433-3-3-33-1-1113-31-10000-11-1-11111-1-1000000-111-1−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i32−1−i32−1−i32−3−3i323+3i32−1−i321+i3200001+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000001+i32−1−i32−1−i321+i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i32−1+i32−1+i32−3+3i323−3i32−1+i321−i3200001−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000001−i32−1+i32−1+i321−i32
χ10533-3-3-33-1-111-331-100001-111-1-1-1-111000000-111-1−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i32−1−i32−1−i323+3i32−3−3i32−1−i321+i320000−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i320000001+i32−1−i32−1−i321+i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i32−1+i32−1+i323−3i32−3+3i32−1+i321−i320000−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i320000001−i32−1+i32−1+i321−i32
χ10633-3-3-33-1-111-331-100001-1-1-11111-1-10000001-1-11−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i32−1−i32−1−i323+3i32−3−3i32−1−i321+i320000−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1−i321+i321+i32−1−i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i32−1+i32−1+i323−3i32−3+3i32−1+i321−i320000−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1+i321−i321−i32−1+i32
χ1074-44i−4i004-44i−4i0000-22−2i2i00000000000000000000−2−2i32+2i34ζ22−4ζ2200−2−2i32+2i34ζ22−4ζ2200001+i3−1−i3−2ζ222ζ2200000000000000000000−2+2i32−2i34ζ14−4ζ1400−2+2i32−2i34ζ14−4ζ1400001−i3−1+i3−2ζ142ζ1400000000000000000000
χ1084-4−4i4i004-4−4i4i0000-222i−2i00000000000000000000−2−2i32+2i3−4ζ224ζ2200−2−2i32+2i3−4ζ224ζ2200001+i3−1−i32ζ22−2ζ2200000000000000000000−2+2i32−2i3−4ζ144ζ1400−2+2i32−2i3−4ζ144ζ1400001−i3−1+i32ζ14−2ζ1400000000000000000000
χ1096666-6-6-2-2-2-20022000000000000000000000000−3−3i3−3−3i3−3−3i3−3−3i33+3i33+3i31+i31+i31+i31+i300−1−i3−1−i3000000000000000000000000−3+3i3−3+3i3−3+3i3−3+3i33−3i33−3i31−i31−i31−i31−i300−1+i3−1+i3000000000000000000000000
χ11066-6-66-6-2-22200-22000000000000000000000000−3−3i3−3−3i33+3i33+3i3−3−3i33+3i31+i31+i3−1−i3−1−i3001+i3−1−i3000000000000000000000000−3+3i3−3+3i33−3i33−3i3−3+3i33−3i31−i31−i3−1+i3−1+i3001−i3−1+i3000000000000000000000000
χ1116-66i−6i00-22−2i2i00000000002−2−i2i2−22i2−i20000000000−3−3i33+3i36ζ22−6ζ22001+i3−1−i3−2ζ222ζ220000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ130000000000−3+3i33−3i36ζ14−6ζ14001−i3−1+i3−2ζ142ζ140000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ230000000000
χ1126-66i−6i00-22−2i2i0000000000−22i2−i22−2−i2i20000000000−3−3i33+3i36ζ22−6ζ22001+i3−1−i3−2ζ222ζ220000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ130000000000−3+3i33−3i36ζ14−6ζ14001−i3−1+i3−2ζ142ζ140000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ230000000000
χ1136-6−6i6i00-222i−2i00000000002−2i2−i2−22−i2i20000000000−3−3i33+3i3−6ζ226ζ22001+i3−1−i32ζ22−2ζ220000000000−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ130000000000−3+3i33−3i3−6ζ146ζ14001−i3−1+i32ζ14−2ζ140000000000ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ230000000000
χ1146-6−6i6i00-222i−2i0000000000−22−i2i22−2i2−i20000000000−3−3i33+3i3−6ζ226ζ22001+i3−1−i32ζ22−2ζ220000000000ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ130000000000−3+3i33−3i3−6ζ146ζ14001−i3−1+i32ζ14−2ζ140000000000−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ230000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.