Finite Group Databasebeta

← Group #72245634

Character table — Group #72245634

Order 4032.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size112224466667777121212121212141414141414282828282828282828282828282828282244488121212121414141424242424242428282828282856565656565656565656565656565656336661212181818182121212136363636363642424242424284848484848484848484848484848484
order1224422714141433661414141428286612121212246666668812122424242436612126621424242336642424242848466121212126126666662424121224242424222442214141414666614141414282866121212122466666688121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ411111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32-1-11−i321+i321−i321−i321+i321+i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32-1-11−i321+i321−i321−i321+i321+i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ511111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ611111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32-1-11+i321−i321+i321+i321−i321−i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32-1-11+i321−i321+i321+i321−i321−i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ711111-1-111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111111-1-111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111111-1-111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1
χ811111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111
χ911111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ1011111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i3211111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i3211111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ1111111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ1211111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i3211111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i3211111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ1311-1-111-11-1-11111111-1-11-1-1-1-1-1111-11-11-1111-1-1-11-11-111-1-111-11-1-11111111-1-11-1-1-1-1-1111-11-11-1111-1-1-11-11-111-1-111-11-1-11111111-1-11-1-1-1-1-1111-11-11-1111-1-1-11-11-1
χ1411-1-111-11-1-11111111-1-11-1-1-1-1-111-111-11-1-1-1-1111-11-1111-1-111-11-1-11111111-1-11-1-1-1-1-111-111-11-1-1-1-1111-11-1111-1-111-11-1-11111111-1-11-1-1-1-1-111-111-11-1-1-1-1111-11-11
χ1511-1-111-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-11-11−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i3211-1-111-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-11-11−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i3211-1-111-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-11-11−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i32
χ1611-1-111-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-11-11−i321+i321−i321+i32−1+i32−1−i32-11−1+i321−i32−1−i321+i321−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i3211-1-111-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-11-11−i321+i321−i321+i32−1+i32−1−i32-11−1+i321−i32−1−i321+i321−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i3211-1-111-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-11-11−i321+i321−i321+i32−1+i32−1−i32-11−1+i321−i32−1−i321+i321−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i32
χ1711-1-111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-11-11+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i3211-1-111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-11-11+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i3211-1-111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-11-11+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i32
χ1811-1-111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-11-11+i321−i321+i321−i32−1−i32−1+i32-11−1−i321+i32−1+i321−i321+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i3211-1-111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-11-11+i321−i321+i321−i32−1−i32−1+i32-11−1−i321+i32−1+i321−i321+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i3211-1-111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-11-11+i321−i321+i321−i32−1−i32−1+i32-11−1−i321+i32−1+i321−i321+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i32
χ1911-1-11-111-1-111111-1-1111-1-1-1-1-1111-1-11-1111-11-1-1-11-1111-1-11-111-1-111111-1-1111-1-1-1-1-1111-1-11-1111-11-1-1-11-1111-1-11-111-1-111111-1-1111-1-1-1-1-1111-1-11-1111-11-1-1-11-11
χ2011-1-11-111-1-111111-1-1111-1-1-1-1-111-11-11-11-1-11-1111-11-111-1-11-111-1-111111-1-1111-1-1-1-1-111-11-11-11-1-11-1111-11-111-1-11-111-1-111111-1-1111-1-1-1-1-111-11-11-11-1-11-1111-11-1
χ2111-1-11-111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111-11−i321+i321−i321+i32−1+i32−1−i321-11−i32−1+i321+i32−1−i32−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i3211-1-11-111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111-11−i321+i321−i321+i32−1+i32−1−i321-11−i32−1+i321+i32−1−i32−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i3211-1-11-111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111-11−i321+i321−i321+i32−1+i32−1−i321-11−i32−1+i321+i32−1−i32−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i32
χ2211-1-11-111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111-11−i321+i321−i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i3211-1-11-111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111-11−i321+i321−i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i3211-1-11-111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111-11−i321+i321−i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i32
χ2311-1-11-111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111-11+i321−i321+i321−i32−1−i32−1+i321-11+i32−1−i321−i32−1+i32−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i3211-1-11-111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111-11+i321−i321+i321−i32−1−i32−1+i321-11+i32−1−i321−i32−1+i32−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i3211-1-11-111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111-11+i321−i321+i321−i32−1−i32−1+i321-11+i32−1−i321−i32−1+i32−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i32
χ2411-1-11-111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111-11+i321−i321+i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i3211-1-11-111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111-11+i321−i321+i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i3211-1-11-111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111-11+i321−i321+i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i32
χ25222-2-200222222220000-2-222-2-2-2-20000000000000000222-2-200222222220000-2-222-2-2-2-20000000000000000222-2-200222222220000-2-222-2-2-2-20000000000000000
χ26222-2-2002222−1+i3−1−i3−1+i3−1−i30000-2-2−1+i3−1−i31−i31+i31−i31+i30000000000000000222-2-2002222−1+i3−1−i3−1+i3−1−i30000-2-2−1+i3−1−i31−i31+i31−i31+i30000000000000000222-2-2002222−1+i3−1−i3−1+i3−1−i30000-2-2−1+i3−1−i31−i31+i31−i31+i30000000000000000
χ27222-2-2002222−1−i3−1+i3−1−i3−1+i30000-2-2−1−i3−1+i31+i31−i31+i31−i30000000000000000222-2-2002222−1−i3−1+i3−1−i3−1+i30000-2-2−1−i3−1+i31+i31−i31+i31−i30000000000000000222-2-2002222−1−i3−1+i3−1−i3−1+i30000-2-2−1−i3−1+i31+i31−i31+i31−i30000000000000000
χ2822-22-2002-2-2222220000-22-2-222-2-2000000000000000022-22-2002-2-2222220000-22-2-222-2-2000000000000000022-22-2002-2-2222220000-22-2-222-2-20000000000000000
χ2922-22-2002-2-22−1+i3−1−i3−1+i3−1−i30000-221−i31+i3−1+i3−1−i31−i31+i3000000000000000022-22-2002-2-22−1+i3−1−i3−1+i3−1−i30000-221−i31+i3−1+i3−1−i31−i31+i3000000000000000022-22-2002-2-22−1+i3−1−i3−1+i3−1−i30000-221−i31+i3−1+i3−1−i31−i31+i30000000000000000
χ3022-22-2002-2-22−1−i3−1+i3−1−i3−1+i30000-221+i31−i3−1−i3−1+i31+i31−i3000000000000000022-22-2002-2-22−1−i3−1+i3−1−i3−1+i30000-221+i31−i3−1−i3−1+i31+i31−i3000000000000000022-22-2002-2-22−1−i3−1+i3−1−i3−1+i30000-221+i31−i3−1−i3−1+i31+i31−i30000000000000000
χ314-400000400-444-4-400000000000000000000000000004-400000400-444-4-400000000000000000000000000004-400000400-444-4-40000000000000000000000000000
χ324-400000400-4−2+2i3−2−2i32−2i32+2i300000000000000000000000000004-400000400-4−2+2i3−2−2i32−2i32+2i300000000000000000000000000004-400000400-4−2+2i3−2−2i32−2i32+2i30000000000000000000000000000
χ334-400000400-4−2−2i3−2+2i32+2i32−2i300000000000000000000000000004-400000400-4−2−2i3−2+2i32+2i32−2i300000000000000000000000000004-400000400-4−2−2i3−2+2i32+2i32−2i30000000000000000000000000000
χ346666666-1-1-1-10000-1-1-1-1-1-100000000000000000000006666666-1-1-1-10000-1-1-1-1-1-100000000000000000000006666666-1-1-1-10000-1-1-1-1-1-10000000000000000000000
χ3566666-6-6-1-1-1-100001111-1-1000000000000000000000066666-6-6-1-1-1-100001111-1-1000000000000000000000066666-6-6-1-1-1-100001111-1-10000000000000000000000
χ36666-6-600-1-1-1-10000−i7i7−i7i7110000000000000000000000666-6-600-1-1-1-10000−i7i7−i7i7110000000000000000000000666-6-600-1-1-1-10000−i7i7−i7i7110000000000000000000000
χ37666-6-600-1-1-1-10000i7−i7i7−i7110000000000000000000000666-6-600-1-1-1-10000i7−i7i7−i7110000000000000000000000666-6-600-1-1-1-10000i7−i7i7−i7110000000000000000000000
χ3866-66-600-111-10000−i7i7i7−i71-1000000000000000000000066-66-600-111-10000−i7i7i7−i71-1000000000000000000000066-66-600-111-10000−i7i7i7−i71-10000000000000000000000
χ3966-66-600-111-10000i7−i7−i7i71-1000000000000000000000066-66-600-111-10000i7−i7−i7i71-1000000000000000000000066-66-600-111-10000i7−i7−i7i71-10000000000000000000000
χ4066-6-666-6-111-10000-1-111-11000000000000000000000066-6-666-6-111-10000-1-111-11000000000000000000000066-6-666-6-111-10000-1-111-110000000000000000000000
χ4166-6-66-66-111-1000011-1-1-11000000000000000000000066-6-66-66-111-1000011-1-1-11000000000000000000000066-6-66-66-111-1000011-1-1-110000000000000000000000
χ4212-1200000-2−2i72i720000000000000000000000000000000012-1200000-2−2i72i720000000000000000000000000000000012-1200000-2−2i72i7200000000000000000000000000000000
χ4312-1200000-22i7−2i720000000000000000000000000000000012-1200000-22i7−2i720000000000000000000000000000000012-1200000-22i7−2i7200000000000000000000000000000000
χ4411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ45111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111
χ4611111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ4711111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32-1-11−i321+i321−i321−i321+i321+i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i32111−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ4811111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ4911111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32-1-11+i321−i321+i321+i321−i321−i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i32111+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ5011111-1-111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111111-1-111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111
χ5111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ5211111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1-111-1-1-1-11−i321+i321−i321+i321111-1-11−i321+i321−i321+i321−i321+i32-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ5311111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i3211111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-111-1-1-1-11−i321+i321−i321+i321111-1-11−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ5411111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1-111-1-1-1-11+i321−i321+i321−i321111-1-11+i321−i321+i321−i321+i321−i32-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ5511111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i3211111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-111-1-1-1-11+i321−i321+i321−i321111-1-11+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ5611-1-111-11-1-11111111-1-11-1-1-1-1-1111-11-11-1111-1-1-11-11-111-1-111-11-1-11111111-1-11-1-1-1-1-1111-11-11-1111-1-1-11-11-1-1-111-1-11-111-1-1-1-1-1-1-111-111111-1-1-11-11-11-1-1-1111-11-11
χ5711-1-111-11-1-11111111-1-11-1-1-1-1-111-111-11-1-1-1-1111-11-1111-1-111-11-1-11111111-1-11-1-1-1-1-111-111-11-1-1-1-1111-11-11-1-111-1-11-111-1-1-1-1-1-1-111-111111-1-11-1-11-11111-1-1-11-11-1
χ5811-1-111-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-11-11−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i3211-1-111-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-11-11−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i32-1-111-1-11-111-11−i321+i321−i321+i32-1-111-11−1+i32−1−i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i321−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i32
χ5911-1-111-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-11-11−i321+i321−i321+i32−1+i32−1−i32-11−1+i321−i32−1−i321+i321−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i3211-1-111-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-11-11−i321+i321−i321+i32−1+i32−1−i32-11−1+i321−i32−1−i321+i321−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i32-1-111-1-11-111-11−i321+i321−i321+i32-1-111-11−1+i32−1−i32−1+i32−1−i321−i321+i321-11−i32−1+i321+i32−1−i32−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i32
χ6011-1-111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-11-11+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i3211-1-111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-11-11+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i32-1-111-1-11-111-11+i321−i321+i321−i32-1-111-11−1−i32−1+i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i321+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i32
χ6111-1-111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-11-11+i321−i321+i321−i32−1−i32−1+i32-11−1−i321+i32−1+i321−i321+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i3211-1-111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-11-11+i321−i321+i321−i32−1−i32−1+i32-11−1−i321+i32−1+i321−i321+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i32-1-111-1-11-111-11+i321−i321+i321−i32-1-111-11−1−i32−1+i32−1−i32−1+i321+i321−i321-11+i32−1−i321−i32−1+i32−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i32
χ6211-1-11-111-1-111111-1-1111-1-1-1-1-1111-1-11-1111-11-1-1-11-1111-1-11-111-1-111111-1-1111-1-1-1-1-1111-1-11-1111-11-1-1-11-11-1-111-11-1-111-1-1-1-1-111-1-1-111111-1-1-111-11-1-1-11-1111-11-1
χ6311-1-11-111-1-111111-1-1111-1-1-1-1-111-11-11-11-1-11-1111-11-111-1-11-111-1-111111-1-1111-1-1-1-1-111-11-11-11-1-11-1111-11-1-1-111-11-1-111-1-1-1-1-111-1-1-111111-1-11-11-11-111-11-1-1-11-11
χ6411-1-11-111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111-11−i321+i321−i321+i32−1+i32−1−i321-11−i32−1+i321+i32−1−i32−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i3211-1-11-111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111-11−i321+i321−i321+i32−1+i32−1−i321-11−i32−1+i321+i32−1−i32−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i32-1-111-11-1-111-11−i321+i321−i321+i3211-1-1-11−1+i32−1−i32−1+i32−1−i321−i321+i32-11−1+i321−i32−1−i321+i321−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i32
χ6511-1-11-111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111-11−i321+i321−i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i3211-1-11-111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111-11−i321+i321−i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i32-1-111-11-1-111-11−i321+i321−i321+i3211-1-1-11−1+i32−1−i32−1+i32−1−i321−i321+i321-1−1+i321−i32−1−i321+i32−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i32
χ6611-1-11-111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111-11+i321−i321+i321−i32−1−i32−1+i321-11+i32−1−i321−i32−1+i32−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i3211-1-11-111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111-11+i321−i321+i321−i32−1−i32−1+i321-11+i32−1−i321−i32−1+i32−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i32-1-111-11-1-111-11+i321−i321+i321−i3211-1-1-11−1−i32−1+i32−1−i32−1+i321+i321−i32-11−1−i321+i32−1+i321−i321+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i32
χ6711-1-11-111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111-11+i321−i321+i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i3211-1-11-111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111-11+i321−i321+i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i32-1-111-11-1-111-11+i321−i321+i321−i3211-1-1-11−1−i32−1+i32−1−i32−1+i321+i321−i321-1−1−i321+i32−1+i321−i32−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i32
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χ88222222222222222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111110000000000000000000000000000000000000000000
χ8922222222222−1+i3−1−i3−1+i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32-1-11−i321+i321−i321−i321+i321+i320000000000000000000000000000000000000000000
χ9022222222222−1+i3−1−i3−1+i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2−1+i3−1+i3−1−i3−1−i31−i31+i3-2-21−i31+i31−i31−i31+i31+i3-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i32111−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i320000000000000000000000000000000000000000000
χ9122222222222−1−i3−1+i3−1−i3−1+i3222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32-1-11+i321−i321+i321+i321−i321−i320000000000000000000000000000000000000000000
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χ9422222-2-222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-10000000000000000000000000000000000000000000
χ9522222-2-22222−1+i3−1−i3−1+i3−1−i3-2-2-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i31−i31+i31+i3−1+i3−1−i3-2-2−1+i3−1−i31−i31−i31+i31+i3-1-1-1-1-111-1-1-1-11−i321+i321−i321+i321111-1-11−i321+i321−i321+i321−i321+i32-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i320000000000000000000000000000000000000000000
χ9622222-2-22222−1+i3−1−i3−1+i3−1−i3-2-2-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-21−i31−i31+i31+i31−i31+i3221−i31+i3−1+i3−1+i3−1−i3−1−i3-1-1-1-1-111-1-1-1-11−i321+i321−i321+i321111-1-11−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i320000000000000000000000000000000000000000000
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χ10022-2-222-22-2-22222222-2-22-2-2-2-2-222-222-22-2-2-2-2222-22-22-1-111-1-11-111-1-1-1-1-1-1-111-111111-1-11-1-11-11111-1-1-11-11-10000000000000000000000000000000000000000000
χ10122-2-222-22-2-22−1+i3−1−i3−1+i3−1−i322-2-22-21−i31+i31−i31+i3−1+i3−1−i32-2−1+i31−i3−1−i31+i3−1+i3−1−i32-21−i31+i3−1+i31−i3−1−i31+i3-1-111-1-11-111-11−i321+i321−i321+i32-1-111-11−1+i32−1−i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i321−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i320000000000000000000000000000000000000000000
χ10222-2-222-22-2-22−1+i3−1−i3−1+i3−1−i322-2-22-21−i31+i31−i31+i3−1+i3−1−i3-22−1+i31−i3−1−i31+i31−i31+i3-22−1+i3−1−i31−i3−1+i31+i3−1−i3-1-111-1-11-111-11−i321+i321−i321+i32-1-111-11−1+i32−1−i32−1+i32−1−i321−i321+i321-11−i32−1+i321+i32−1−i32−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i320000000000000000000000000000000000000000000
χ10322-2-222-22-2-22−1−i3−1+i3−1−i3−1+i322-2-22-21+i31−i31+i31−i3−1−i3−1+i32-2−1−i31+i3−1+i31−i3−1−i3−1+i32-21+i31−i3−1−i31+i3−1+i31−i3-1-111-1-11-111-11+i321−i321+i321−i32-1-111-11−1−i32−1+i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i321+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i320000000000000000000000000000000000000000000
χ10422-2-222-22-2-22−1−i3−1+i3−1−i3−1+i322-2-22-21+i31−i31+i31−i3−1−i3−1+i3-22−1−i31+i3−1+i31−i31+i31−i3-22−1−i3−1+i31+i3−1−i31−i3−1+i3-1-111-1-11-111-11+i321−i321+i321−i32-1-111-11−1−i32−1+i32−1−i32−1+i321+i321−i321-11+i32−1−i321−i32−1+i32−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i320000000000000000000000000000000000000000000
χ10522-2-22-222-2-222222-2-2222-2-2-2-2-2222-2-22-2222-22-2-2-22-22-1-111-11-1-111-1-1-1-1-111-1-1-111111-1-1-111-11-1-1-11-1111-11-10000000000000000000000000000000000000000000
χ10622-2-22-222-2-222222-2-2222-2-2-2-2-222-22-22-22-2-22-2222-22-2-1-111-11-1-111-1-1-1-1-111-1-1-111111-1-11-11-11-111-11-1-1-11-110000000000000000000000000000000000000000000
χ10722-2-22-222-2-22−1+i3−1−i3−1+i3−1−i3-2-2222-21−i31+i31−i31+i3−1+i3−1−i32-21−i3−1+i31+i3−1−i3−1+i3−1−i3-221−i31+i31−i3−1+i31+i3−1−i3-1-111-11-1-111-11−i321+i321−i321+i3211-1-1-11−1+i32−1−i32−1+i32−1−i321−i321+i32-11−1+i321−i32−1−i321+i321−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i320000000000000000000000000000000000000000000
χ10822-2-22-222-2-22−1+i3−1−i3−1+i3−1−i3-2-2222-21−i31+i31−i31+i3−1+i3−1−i3-221−i3−1+i31+i3−1−i31−i31+i32-2−1+i3−1−i3−1+i31−i3−1−i31+i3-1-111-11-1-111-11−i321+i321−i321+i3211-1-1-11−1+i32−1−i32−1+i32−1−i321−i321+i321-1−1+i321−i32−1−i321+i32−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i320000000000000000000000000000000000000000000
χ10922-2-22-222-2-22−1−i3−1+i3−1−i3−1+i3-2-2222-21+i31−i31+i31−i3−1−i3−1+i32-21+i3−1−i31−i3−1+i3−1−i3−1+i3-221+i31−i31+i3−1−i31−i3−1+i3-1-111-11-1-111-11+i321−i321+i321−i3211-1-1-11−1−i32−1+i32−1−i32−1+i321+i321−i32-11−1−i321+i32−1+i321−i321+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i320000000000000000000000000000000000000000000
χ11022-2-22-222-2-22−1−i3−1+i3−1−i3−1+i3-2-2222-21+i31−i31+i31−i3−1−i3−1+i3-221+i3−1−i31−i3−1+i31+i31−i32-2−1−i3−1+i3−1−i31+i3−1+i31−i3-1-111-11-1-111-11+i321−i321+i321−i3211-1-1-11−1−i32−1+i32−1−i32−1+i321+i321−i321-1−1−i321+i32−1+i321−i32−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i320000000000000000000000000000000000000000000
χ111444-4-400444444440000-4-444-4-4-4-40000000000000000-2-2-22200-2-2-2-2-2-2-2-2000022-2-2222200000000000000000000000000000000000000000000000000000000000
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χ11444-44-4004-4-4444440000-44-4-444-4-40000000000000000-2-22-2200-222-2-2-2-2-200002-222-2-22200000000000000000000000000000000000000000000000000000000000
χ11544-44-4004-4-44−2+2i3−2−2i3−2+2i3−2−2i30000-442−2i32+2i3−2+2i3−2−2i32−2i32+2i30000000000000000-2-22-2200-222-21−i31+i31−i31+i300002-2−1+i3−1−i31−i31+i3−1+i3−1−i300000000000000000000000000000000000000000000000000000000000
χ11644-44-4004-4-44−2−2i3−2+2i3−2−2i3−2+2i30000-442+2i32−2i3−2−2i3−2+2i32+2i32−2i30000000000000000-2-22-2200-222-21+i31−i31+i31−i300002-2−1−i3−1+i31+i31−i3−1−i3−1+i300000000000000000000000000000000000000000000000000000000000
χ1178-800000800-888-8-80000000000000000000000000000-4400000-4004-4-44400000000000000000000000000000000000000000000000000000000000000000000000
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χ1211212121212-12-12-2-2-2-200002222-2-20000000000000000000000-6-6-6-6-66611110000-1-1-1-11100000000000000000000000000000000000000000000000000000000000000000
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χ1261212-12-121212-12-222-20000-2-222-220000000000000000000000-6-666-6-661-1-11000011-1-11-100000000000000000000000000000000000000000000000000000000000000000
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χ12824-2400000-4−4i74i7400000000000000000000000000000000-12120000022i7−2i7-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ12924-2400000-44i7−4i7400000000000000000000000000000000-1212000002−2i72i7-2000000000000000000000000000000000000000000000000000000000000000000000000000

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