Finite Group Databasebeta

← Group #72244597

Character table — Group #72244597

Order 2016.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size112224466667777121212121212141414141414282828282828282828282828282828281122244666677771212121212121414141414142828282828282828282828282828282811222446666777712121212121214141414141428282828282828282828282828282828
order122442271414143366141414142828661212121224666666881212242424243661212662142424233664242424284846612121212612666666242412122424242436612126621424242336642424242848466121212126126666662424121224242424
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
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χ9011111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321−1+i321+i321+i3211−1+i32−1+i32-11−i321+i321+i32-11−i32-1-11−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−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i3211−i321−i32−1−i32−1−i32111+i32-11−i321−i321+i32-11+i321+i32-1-1
χ9111111111111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i321−1−i32−1−i32−1+i32−1+i3211−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−1−i32−1+i32−1+i3211−1−i32−1−i321−1−i32−1+i32−1+i321−1−i3211−1−i32−1−i32
χ9211111111111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i3211+i321+i32−1+i32−1+i32111−i32-11+i321+i321−i32-11−i321−i32-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−1−i321−i321−i3211−1−i32−1−i32-11+i321−i321−i32-11+i32-1-11+i321+i32
χ9311111-1-111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1−1−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−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+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+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+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−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ9411111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ9511111-1-11111−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i321+i321+i321+i32−1−i32−1−i321−1+i321−1+i321−1+i32−1−i32−1−i32-1-11−i321−i321−1+i321+i321+i321−1+i32-1-11−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i321−i321−i321−i32−1+i32−1+i32−1−i321−1−i321−1−i321−1+i32−1+i321+i321+i32-1-1−1−i3211−i321−i32−1−i3211+i321+i32-1-1
χ9611111-1-11111−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i321+i321+i321+i32−1−i32−1−i321−1+i321−1+i321−1+i321+i321+i32-1-11−i321−i32-11−i32−1−i32−1−i32-11−i3211−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i321−i321−i321−i32−1+i32−1+i32−1−i321−1−i321−1−i3211−i321−i321+i321+i32-1-11+i32-1−1+i32−1+i321+i32-1−1−i32−1−i3211
χ9711111-1-11111−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i3211+i321+i321+i321+i32−1−i32−1−i32−1+i321−1+i321−1+i321−1−i32−1−i321−i321−i32-1-1−1+i3211+i321+i32−1+i3211−i321−i32-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−i321−i321−i321−i32−1+i32−1+i321−1−i321−1−i321−1−i32−1+i32−1+i32-1-11+i321+i321−1−i321−i321−i321−1−i32-1-11+i321+i32
χ9811111-1-11111−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i3211+i321+i321+i321+i32−1−i32−1−i32−1+i321−1+i321−1+i3211+i321+i321−i321−i32-1-11−i32-1−1−i32−1−i321−i32-1−1+i32−1+i3211−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−i321−i321−i321−i32−1+i32−1+i321−1−i321−1−i321−1−i321−i321−i32-1-11+i321+i32-11+i32−1+i32−1+i32-11+i3211−1−i32−1−i32
χ9911-1-111-11-1-11111111-1-11-1-1-1-1-1111-11-11-1111-1-1-11-11-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ10011-1-111-11-1-11111111-1-11-1-1-1-1-111-111-11-1-1-1-1111-11-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ10111-1-111-11-1-11−1+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−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321−1+i321−1+i32−1−i32−1−i321+i321+i32−1−i321+i32-11−i32-11−i321−1+i32−1−i321+i321-1−1+i321−i321−1+i32−1−i321+i32-11−i321-1−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i321−1−i321−1+i32−1+i321−i321−i32−1+i321−i321+i32-11+i32-1−1−i321−1+i321−i32−1−i321+i321-1−1−i321−1+i321−i321+i32-1−1−i321+i321-1
χ10211-1-111-11-1-11−1+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−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321−1+i321−1+i32−1−i32−1−i321+i321+i32−1−i321+i32-11−i32-11−i321−1+i321+i32−1−i321-1−1+i321−i32-11−i321+i32−1−i321−1+i32-111−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i321−1−i321−1+i32−1+i321−i321−i32−1+i321−i321+i32-11+i32-1−1−i3211−i32−1+i32−1−i321+i321-11+i32-11−i32−1+i32−1−i3211+i32−1−i32-11
χ10311-1-111-11-1-11−1−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−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i321−1+i321−1−i32−1−i321+i321+i32−1−i321+i321−i32-11−i32-1−1+i321−1−i321+i32−1+i321−i321-1−1+i321−1−i321+i321−i32-1−1+i321−i321-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−1−i321−1−i32−1+i32−1+i321−i321−i32−1+i321−i32-11+i32-11+i321−1−i32−1+i321−i321-1−1−i321+i321−1−i32−1+i321−i32-11+i321-1−1−i321+i32
χ10411-1-111-11-1-11−1−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−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i321−1+i321−1−i32−1−i321+i321+i32−1−i321+i321−i32-11−i32-1−1+i3211+i32−1−i32−1+i321−i321-11−i32-11+i32−1−i32−1+i3211−i32−1+i32-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−1−i321−1−i32−1+i32−1+i321−i321−i32−1+i321−i32-11+i32-11+i321−1−i321−i32−1+i321-1−1−i321+i32-11+i321−i32−1+i321−1−i32-111+i32−1−i32
χ10511-1-11-111-1-111111-1-1111-1-1-1-1-1111-1-11-1111-11-1-1-11-11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ10611-1-11-111-1-111111-1-1111-1-1-1-1-111-11-11-11-1-11-1111-11-1−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ10711-1-11-111-1-11−1+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−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321−1+i321−1+i321+i321+i32−1−i32−1−i32−1−i321+i32-11−i32-11−i321−1+i32−1−i321+i32-111−i32−1+i321−1+i321+i32−1−i32-11−i32-111−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i321−1−i3211−i321−i32−1+i32−1+i32−1+i321−i321+i32-11+i32-1−1−i321−1+i321−i321+i32−1−i32-11−1−i3211−i32−1+i321+i32-11+i32−1−i32-11
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Here ζ is a primitive root of unity of order 21 (ζ21 = 1); i = ζ5.