Finite Group Databasebeta

← Group #13181388

Character table — Group #13181388

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222244466668888881212121216161616161616161618183636363636363611222224446666888888121212121616161616161616161818363636363636361122222444666688888812121212161616161616161616181836363636363636
order12344461212122224333666666121212121212121212128822248883631212126121212666123336666661212121212121212121224246661224242436312121261212126661233366666612121212121212121212242466612242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1111-1-111-1-11111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1111-1-111-1-11111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1111-1-111-1-1
χ41111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111
χ5111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-111-11-11-11-1111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-111-11-11-11-1111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-111-11-11-11-1
χ6111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-1-1-11-11-11-11111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-1-1-11-11-11-11111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-1-1-11-11-11-11
χ7111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-111111-1-111-1-11111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-111111-1-111-1-11111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-111111-1-111-1-11
χ8111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1111-1-111-1-111-1111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1111-1-111-1-111-1111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1111-1-111-1-111-1
χ922222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000022222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000022222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000000
χ102222-2-222-2-22-2-22-1-1-1-1-1-12-2-22-1-1-11111110000000002222-2-222-2-22-2-22-1-1-1-1-1-12-2-22-1-1-11111110000000002222-2-222-2-22-2-22-1-1-1-1-1-12-2-22-1-1-1111111000000000
χ11222-22-22-22-2-22-22-1-1-1-1-1-1-22-22111-1-1-1111000000000222-22-22-22-2-22-22-1-1-1-1-1-1-22-22111-1-1-1111000000000222-22-22-22-2-22-22-1-1-1-1-1-1-22-22111-1-1-1111000000000
χ12222-2-222-2-22-2-222-1-1-1-1-1-1-2-222111111-1-1-1000000000222-2-222-2-22-2-222-1-1-1-1-1-1-2-222111111-1-1-1000000000222-2-222-2-22-2-222-1-1-1-1-1-1-2-222111111-1-1-1000000000
χ1322-1222-1-1-1-122222-1-12-1-1-1-1-1-12-1-12-1-12-1-100000000022-1222-1-1-1-122222-1-12-1-1-1-1-1-12-1-12-1-12-1-100000000022-1222-1-1-1-122222-1-12-1-1-1-1-1-12-1-12-1-12-1-1000000000
χ1422-1222-1-1-1-12222-12-1-12-1-1-1-1-1-12-1-12-1-12-100000000022-1222-1-1-1-12222-12-1-12-1-1-1-1-1-12-1-12-1-12-100000000022-1222-1-1-1-12222-12-1-12-1-1-1-1-1-12-1-12-1-12-1000000000
χ1522-1222-1-1-1-12222-1-12-1-12-1-1-1-1-1-12-1-12-1-1200000000022-1222-1-1-1-12222-1-12-1-12-1-1-1-1-1-12-1-12-1-1200000000022-1222-1-1-1-12222-1-12-1-12-1-1-1-1-1-12-1-12-1-12000000000
χ1622-12-2-2-1-1112-2-222-1-12-1-1-111-12-1-1-211-21100000000022-12-2-2-1-1112-2-222-1-12-1-1-111-12-1-1-211-21100000000022-12-2-2-1-1112-2-222-1-12-1-1-111-12-1-1-211-211000000000
χ1722-12-2-2-1-1112-2-22-12-1-12-1-111-1-12-11-211-2100000000022-12-2-2-1-1112-2-22-12-1-12-1-111-1-12-11-211-2100000000022-12-2-2-1-1112-2-22-12-1-12-1-111-1-12-11-211-21000000000
χ1822-12-2-2-1-1112-2-22-1-12-1-12-111-1-1-1211-211-200000000022-12-2-2-1-1112-2-22-1-12-1-12-111-1-1-1211-211-200000000022-12-2-2-1-1112-2-22-1-12-1-12-111-1-1-1211-211-2000000000
χ1922-1-22-2-11-11-22-222-1-12-1-11-11-1-2112-1-1-21100000000022-1-22-2-11-11-22-222-1-12-1-11-11-1-2112-1-1-21100000000022-1-22-2-11-11-22-222-1-12-1-11-11-1-2112-1-1-211000000000
χ2022-1-22-2-11-11-22-22-12-1-12-11-11-11-21-12-11-2100000000022-1-22-2-11-11-22-22-12-1-12-11-11-11-21-12-11-2100000000022-1-22-2-11-11-22-22-12-1-12-11-11-11-21-12-11-21000000000
χ2122-1-22-2-11-11-22-22-1-12-1-121-11-111-2-1-1211-200000000022-1-22-2-11-11-22-22-1-12-1-121-11-111-2-1-1211-200000000022-1-22-2-11-11-22-22-1-12-1-121-11-111-2-1-1211-2000000000
χ2222-1-2-22-111-1-2-2222-1-12-1-111-1-1-211-2112-1-100000000022-1-2-22-111-1-2-2222-1-12-1-111-1-1-211-2112-1-100000000022-1-2-22-111-1-2-2222-1-12-1-111-1-1-211-2112-1-1000000000
χ2322-1-2-22-111-1-2-222-12-1-12-111-1-11-211-21-12-100000000022-1-2-22-111-1-2-222-12-1-12-111-1-11-211-21-12-100000000022-1-2-22-111-1-2-222-12-1-12-111-1-11-211-21-12-1000000000
χ2422-1-2-22-111-1-2-222-1-12-1-1211-1-111-211-2-1-1200000000022-1-2-22-111-1-2-222-1-12-1-1211-1-111-211-2-1-1200000000022-1-2-22-111-1-2-222-1-12-1-1211-1-111-211-2-1-12000000000
χ253333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-11113333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-11113333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-1111
χ263333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-13333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-13333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-1
χ273333-3-333-3-3-111-1000000-111-100000000011-111-11-1-13333-3-333-3-3-111-1000000-111-100000000011-111-11-1-13333-3-333-3-3-111-1000000-111-100000000011-111-11-1-1
χ283333-3-333-3-3-111-1000000-111-1000000000-1-11-1-11-1113333-3-333-3-3-111-1000000-111-1000000000-1-11-1-11-1113333-3-333-3-3-111-1000000-111-1000000000-1-11-1-11-111
χ29333-33-33-33-31-11-10000001-11-1000000000111-11-1-11-1333-33-33-33-31-11-10000001-11-1000000000111-11-1-11-1333-33-33-33-31-11-10000001-11-1000000000111-11-1-11-1
χ30333-33-33-33-31-11-10000001-11-1000000000-1-1-11-111-11333-33-33-33-31-11-10000001-11-1000000000-1-1-11-111-11333-33-33-33-31-11-10000001-11-1000000000-1-1-11-111-11
χ31333-3-333-3-3311-1-100000011-1-10000000001111-1-1-1-11333-3-333-3-3311-1-100000011-1-10000000001111-1-1-1-11333-3-333-3-3311-1-100000011-1-10000000001111-1-1-1-11
χ32333-3-333-3-3311-1-100000011-1-1000000000-1-1-1-11111-1333-3-333-3-3311-1-100000011-1-1000000000-1-1-1-11111-1333-3-333-3-3311-1-100000011-1-1000000000-1-1-1-11111-1
χ334-44000-40000000-2-2-2222000000000000022−2200000004-44000-40000000-2-2-2222000000000000022−2200000004-44000-40000000-2-2-2222000000000000022−220000000
χ344-44000-40000000-2-2-22220000000000000−222200000004-44000-40000000-2-2-22220000000000000−222200000004-44000-40000000-2-2-22220000000000000−22220000000
χ3566-3666-3-3-3-3-2-2-2-2000000111100000000000000000066-3666-3-3-3-3-2-2-2-2000000111100000000000000000066-3666-3-3-3-3-2-2-2-20000001111000000000000000000
χ3666-36-6-6-3-333-222-20000001-1-1100000000000000000066-36-6-6-3-333-222-20000001-1-1100000000000000000066-36-6-6-3-333-222-20000001-1-11000000000000000000
χ3766-3-66-6-33-332-22-2000000-11-1100000000000000000066-3-66-6-33-332-22-2000000-11-1100000000000000000066-3-66-6-33-332-22-2000000-11-11000000000000000000
χ3866-3-6-66-333-322-2-2000000-1-11100000000000000000066-3-6-66-333-322-2-2000000-1-11100000000000000000066-3-6-66-333-322-2-2000000-1-111000000000000000000
χ398-88000-80000000222-2-2-200000000000000000000008-88000-80000000222-2-2-200000000000000000000008-88000-80000000222-2-2-20000000000000000000000
χ408-8-40004000000022-4-2-2400000000000000000000008-8-40004000000022-4-2-2400000000000000000000008-8-40004000000022-4-2-240000000000000000000000
χ418-8-4000400000002-42-24-200000000000000000000008-8-4000400000002-42-24-200000000000000000000008-8-4000400000002-42-24-20000000000000000000000
χ428-8-400040000000-4224-2-200000000000000000000008-8-400040000000-4224-2-200000000000000000000008-8-400040000000-4224-2-20000000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ44111111111111111111111111111111111-1-1-1-1-1-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ451111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ461111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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+i321−i321−i321−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+i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ47111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-111-11-11-11-1−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ48111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-1-1-11-11-11-11−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ49111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-111111-1-111-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ50111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1111-1-111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ5122222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000000−1+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−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000−1−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+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000
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χ10422-1-22-2-11-11-22-22-12-1-12-11-11-11-21-12-11-21000000000−1−i3−1−i31+i321+i3−1−i31+i31+i32−1−i321+i32−1−i321+i3−1−i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i321+i32−1−i321+i32−1−i321+i3−1−i321+i32−1−i31+i32−1−i321+i3−1−i32000000000−1+i3−1+i31−i321−i3−1+i31−i31−i32−1+i321−i32−1+i321−i3−1+i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i321−i32−1+i321−i32−1+i321−i3−1+i321−i32−1+i31−i32−1+i321−i3−1+i32000000000
χ10522-1-22-2-11-11-22-22-1-12-1-121-11-111-2-1-1211-2000000000−1−i3−1−i31+i321+i3−1−i31+i31+i32−1−i321+i32−1−i321+i3−1−i31+i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i321+i32−1−i321+i32−1−i32−1−i321+i31+i321+i32−1−i3−1−i32−1−i321+i3000000000−1+i3−1+i31−i321−i3−1+i31−i31−i32−1+i321−i32−1+i321−i3−1+i31−i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i321−i32−1+i321−i32−1+i32−1+i321−i31−i321−i32−1+i3−1+i32−1+i321−i3000000000
χ10622-1-2-22-111-1-2-2222-1-12-1-111-1-1-211-2112-1-1000000000−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i32−1−i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i32−1−i321+i321+i321+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i31+i321+i32000000000−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i32−1+i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i32−1+i321−i321−i321−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i31−i321−i32000000000
χ10722-1-2-22-111-1-2-222-12-1-12-111-1-11-211-21-12-1000000000−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i32−1−i321+i321+i31+i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i32−1−i321+i321+i32−1−i321+i3−1−i32−1−i321+i3−1−i321+i32−1−i31+i32000000000−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i32−1+i321−i321−i31−i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i32−1+i321−i321−i32−1+i321−i3−1+i32−1+i321−i3−1+i321−i32−1+i31−i32000000000
χ10822-1-2-22-111-1-2-222-1-12-1-1211-1-111-211-2-1-12000000000−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i32−1−i321+i321+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i321+i3−1−i32−1−i321+i31+i321+i32−1−i3000000000−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i32−1+i321−i321−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i321−i3−1+i32−1+i321−i31−i321−i32−1+i3000000000
χ1093333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-1111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000001+i321+i321+i321+i32000000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000001−i321−i321−i321−i32000000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ1103333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000001+i321+i321+i321+i320000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000001−i321−i321−i321−i320000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ1113333-3-333-3-3-111-1000000-111-100000000011-111-11-1-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i321+i32−1−i32−1−i321+i320000001+i32−1−i32−1−i321+i32000000000−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i321−i32−1+i32−1+i321−i320000001−i32−1+i32−1+i321−i32000000000−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32
χ1123333-3-333-3-3-111-1000000-111-1000000000-1-11-1-11-111−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i321+i32−1−i32−1−i321+i320000001+i32−1−i32−1−i321+i320000000001+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i321−i32−1+i32−1+i321−i320000001−i32−1+i32−1+i321−i320000000001−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32
χ113333-33-33-33-31-11-10000001-11-1000000000111-11-1-11-1−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i32−3−3i323+3i32−3−3i323+3i32−1−i321+i32−1−i321+i32000000−1−i321+i32−1−i321+i32000000000−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i32−3+3i323−3i32−3+3i323−3i32−1+i321−i32−1+i321−i32000000−1+i321−i32−1+i321−i32000000000−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32
χ114333-33-33-33-31-11-10000001-11-1000000000-1-1-11-111-11−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i32−3−3i323+3i32−3−3i323+3i32−1−i321+i32−1−i321+i32000000−1−i321+i32−1−i321+i320000000001+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i32−3+3i323−3i32−3+3i323−3i32−1+i321−i32−1+i321−i32000000−1+i321−i32−1+i321−i320000000001−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ115333-3-333-3-3311-1-100000011-1-10000000001111-1-1-1-11−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i32−3−3i32−1−i32−1−i321+i321+i32000000−1−i32−1−i321+i321+i32000000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i32−3+3i32−1+i32−1+i321−i321−i32000000−1+i32−1+i321−i321−i32000000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ116333-3-333-3-3311-1-100000011-1-1000000000-1-1-1-11111-1−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i32−3−3i32−1−i32−1−i321+i321+i32000000−1−i32−1−i321+i321+i320000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i32−3+3i32−1+i32−1+i321−i321−i32000000−1+i32−1+i321−i321−i320000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ1174-44000-40000000-2-2-2222000000000000022−220000000−2−2i32+2i3−2−2i30002+2i300000001+i31+i31+i3−1−i3−1−i3−1−i30000000000000−2ζ7+2ζ132ζ7−2ζ130000000−2+2i32−2i3−2+2i30002−2i300000001−i31−i31−i3−1+i3−1+i3−1+i300000000000002ζ5−2ζ23−2ζ5+2ζ230000000
χ1184-44000-40000000-2-2-22220000000000000−22220000000−2−2i32+2i3−2−2i30002+2i300000001+i31+i31+i3−1−i3−1−i3−1−i300000000000002ζ7−2ζ13−2ζ7+2ζ130000000−2+2i32−2i3−2+2i30002−2i300000001−i31−i31−i3−1+i3−1+i3−1+i30000000000000−2ζ5+2ζ232ζ5−2ζ230000000
χ11966-3666-3-3-3-3-2-2-2-20000001111000000000000000000−3−3i3−3−3i33+3i32−3−3i3−3−3i3−3−3i33+3i323+3i323+3i323+3i321+i31+i31+i31+i3000000−1−i32−1−i32−1−i32−1−i32000000000000000000−3+3i3−3+3i33−3i32−3+3i3−3+3i3−3+3i33−3i323−3i323−3i323−3i321−i31−i31−i31−i3000000−1+i32−1+i32−1+i32−1+i32000000000000000000
χ12066-36-6-6-3-333-222-20000001-1-11000000000000000000−3−3i3−3−3i33+3i32−3−3i33+3i33+3i33+3i323+3i32−3−3i32−3−3i321+i3−1−i3−1−i31+i3000000−1−i321+i321+i32−1−i32000000000000000000−3+3i3−3+3i33−3i32−3+3i33−3i33−3i33−3i323−3i32−3+3i32−3+3i321−i3−1+i3−1+i31−i3000000−1+i321−i321−i32−1+i32000000000000000000
χ12166-3-66-6-33-332-22-2000000-11-11000000000000000000−3−3i3−3−3i33+3i323+3i3−3−3i33+3i33+3i32−3−3i323+3i32−3−3i32−1−i31+i3−1−i31+i30000001+i32−1−i321+i32−1−i32000000000000000000−3+3i3−3+3i33−3i323−3i3−3+3i33−3i33−3i32−3+3i323−3i32−3+3i32−1+i31−i3−1+i31−i30000001−i32−1+i321−i32−1+i32000000000000000000
χ12266-3-6-66-333-322-2-2000000-1-111000000000000000000−3−3i3−3−3i33+3i323+3i33+3i3−3−3i33+3i32−3−3i32−3−3i323+3i32−1−i3−1−i31+i31+i30000001+i321+i32−1−i32−1−i32000000000000000000−3+3i3−3+3i33−3i323−3i33−3i3−3+3i33−3i32−3+3i32−3+3i323−3i32−1+i3−1+i31−i31−i30000001−i321−i32−1+i32−1+i32000000000000000000
χ1238-88000-80000000222-2-2-20000000000000000000000−4−4i34+4i3−4−4i30004+4i30000000−1−i3−1−i3−1−i31+i31+i31+i30000000000000000000000−4+4i34−4i3−4+4i30004−4i30000000−1+i3−1+i3−1+i31−i31−i31−i30000000000000000000000
χ1248-8-40004000000022-4-2-240000000000000000000000−4−4i34+4i32+2i3000−2−2i30000000−1−i3−1−i32+2i31+i31+i3−2−2i30000000000000000000000−4+4i34−4i32−2i3000−2+2i30000000−1+i3−1+i32−2i31−i31−i3−2+2i30000000000000000000000
χ1258-8-4000400000002-42-24-20000000000000000000000−4−4i34+4i32+2i3000−2−2i30000000−1−i32+2i3−1−i31+i3−2−2i31+i30000000000000000000000−4+4i34−4i32−2i3000−2+2i30000000−1+i32−2i3−1+i31−i3−2+2i31−i30000000000000000000000
χ1268-8-400040000000-4224-2-20000000000000000000000−4−4i34+4i32+2i3000−2−2i300000002+2i3−1−i3−1−i3−2−2i31+i31+i30000000000000000000000−4+4i34−4i32−2i3000−2+2i300000002−2i3−1+i3−1+i3−2+2i31−i31−i30000000000000000000000

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