Finite Group Databasebeta

← Group #72277843

Character table — Group #72277843

Order 8064.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size113366666677778141414161616161818212121212424243232363636364242424242424242424242424242424242424242424242565656565672729696969696969696112112112112112112112112168168168168168224224224224224224224224224224224224224224224224
order122222227143366426633661414666642828121214141414222226666666666666666662661212282821214242848484843333666641212121266666666666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i321111111111111111111111111111111111−1−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+i3211111−1−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
χ3111111111111111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i321111111111111111111111111111111111−1+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−i3211111−1+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
χ4111111111111111-1-1-11111111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i321111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−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+i32-111-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ6111111111111111-1-1-1−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i321111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111−1+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−i32-111-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ711111111111111-11111111111111-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1
χ811111111111111-1111−1−i32−1+i32−1−i32−1+i32111111-1-1-11+i321−i32111111111111111111111111111-1-1-1-1-1-1-1−1−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+i32-1-1-1-1-1−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32
χ911111111111111-1111−1+i32−1−i32−1+i32−1−i32111111-1-1-11−i321+i32111111111111111111111111111-1-1-1-1-1-1-1−1+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−i32-1-1-1-1-1−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32
χ1011111111111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111111-1-111-11-11-1-111-1-111-1-1-1-1
χ1111111111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32111111-1-1-11+i321−i321111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1−1−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+i321-1-1111+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32
χ1211111111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32111111-1-1-11−i321+i321111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1−1+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−i321-1-1111−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32
χ131111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i3211111111111111−1−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−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ141111111111−1−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+i32111−1−i32−1+i32111111111−1−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−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i3211−1−i321−1−i32−1+i3211−1−i32
χ151111111111−1−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+i32111−1+i32−1−i32111111111−1−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−i32−1+i32−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321−1−i321−1−i32−1+i321−1+i3211−1−i32−1+i321
χ161111111111−1−i32−1+i32−1−i32−1+i321-11+i321−i32111111−1−i32−1−i32−1+i32−1+i32111111111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32-11+i321−i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1−1−i32−1+i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ171111111111−1−i32−1+i32−1−i32−1+i321-11+i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32-11+i321−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i3211−1−i32-1−1−i32−1+i321+i321−i321+i321+i321−i321−i321−i32-11−i32-1-11+i32-11+i32−1+i3211−1−i32
χ181111111111−1−i32−1+i32−1−i32−1+i321-11+i321−i32−1+i32−1−i32−1+i32−1−i3211−1−i32−1−i32−1+i32−1+i32111−1+i32−1−i321111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32-11+i321−i32−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1−i32−1+i3211−1−i32−1+i321-1−1−i32−1+i321+i321−i321−i321−i321+i321+i32-11+i32-11+i321−i32-11−i32-11−1−i32−1+i321
χ191111111111−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1111111111−1−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+i32-11+i321−i321+i321−i32-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-11+i321−i321+i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32
χ201111111111−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-11+i321−i32111111111−1−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+i32-11+i321−i321+i321−i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1+i3211−1−i32−1+i3211−1−i32-11+i321−i321+i321−i32−1−i321+i32−1+i321−i32−1+i3211−i32-11−1−i32-11+i321−i32-1-11+i32
χ211111111111−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i32−1+i32−1−i32−1+i32−1−i3211−1−i32−1−i32−1+i32−1+i32-1-1-11−i321+i32111111111−1−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+i32-11+i321−i321+i321−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1−i32−1+i3211−1−i32−1+i321-11+i321−i321+i321−i32−1+i321−i32−1−i321+i321−1−i32-11+i32−1+i3211−i32-1-11+i321−i32-1
χ221111111111−1−i32−1+i32−1−i32−1+i32-1-11+i321−i32111111−1−i32−1−i32−1+i32−1+i32-1-1-1-1-11111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−1−i32−1+i321+i321−i32-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211+i321−i32−1−i32−1+i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32
χ231111111111−1−i32−1+i32−1−i32−1+i32-1-11+i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-11+i321−i321111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−1−i32−1+i321+i321−i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1+i3211−1−i32−1+i3211−1−i3211+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i321−i32-1−1+i321-11+i321−1−i321−i32-1-11+i32
χ241111111111−1−i32−1+i32−1−i32−1+i32-1-11+i321−i32−1+i32−1−i32−1+i32−1−i3211−1−i32−1−i32−1+i32−1+i32-1-1-11−i321+i321111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−1−i32−1+i321+i321−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1−i32−1+i3211−1−i32−1+i32111+i321−i32−1−i32−1+i321−i32−1+i321+i32−1−i32-11+i321−1−i321−i32-1−1+i321-11+i321−i32-1
χ251111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i3211111111111111−1+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+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ261111111111−1+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−i32111−1−i32−1+i32111111111−1+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+i32−1−i32−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−1+i321−1+i32−1−i321−1−i3211−1+i32−1−i321
χ271111111111−1+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−i32111−1+i32−1−i32111111111−1+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+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i3211−1+i321−1+i32−1−i3211−1+i32
χ281111111111−1+i32−1−i32−1+i32−1−i321-11−i321+i32111111−1+i32−1+i32−1−i32−1−i32111111111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32-11−i321+i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1−1+i32−1−i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ291111111111−1+i32−1−i32−1+i32−1−i321-11−i321+i32−1−i32−1+i32−1−i32−1+i3211−1+i32−1+i32−1−i32−1−i32111−1−i32−1+i321111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32-11−i321+i32−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1+i32−1−i3211−1+i32−1−i321-1−1+i32−1−i321−i321+i321+i321+i321−i321−i32-11−i32-11−i321+i32-11+i32-11−1+i32−1−i321
χ301111111111−1+i32−1−i32−1+i32−1−i321-11−i321+i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32-11−i321+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i3211−1+i32-1−1+i32−1−i321−i321+i321−i321−i321+i321+i321+i32-11+i32-1-11−i32-11−i32−1−i3211−1+i32
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χ846-62-2-222-26-6−3−3i3−3+3i33+3i33−3i300000000-221+i3−1−i31−i3−1+i300000-222-20004-41+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i3000−2−2i32+2i3000−2+2i32−2i300000000000000000000000000000000000000000000
χ856-62-2-222-26-6−3−3i3−3+3i33+3i33−3i300000000-221+i3−1−i31−i3−1+i300000-222-2000-441+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i30002+2i3−2−2i30002−2i3−2+2i300000000000000000000000000000000000000000000
χ866-62-2-222-26-6−3+3i3−3−3i33−3i33+3i300000000-221−i3−1+i31+i3−1−i300000-222-20004-41−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i3000−2+2i32−2i3000−2−2i32+2i300000000000000000000000000000000000000000000
χ876-62-2-222-26-6−3+3i3−3−3i33−3i33+3i300000000-221−i3−1+i31+i3−1−i300000-222-2000-441−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i30002−2i3−2+2i30002+2i3−2−2i300000000000000000000000000000000000000000000
χ886-6-6666-6-6-110000000066-6-6-11000007−700-1-11100000000000000000000000000007−7-1-1117−77−700000000000000000000000000000
χ896-6-6666-6-6-110000000066-6-6-1100000−7700-1-1110000000000000000000000000000−77-1-111−77−7700000000000000000000000000000
χ906-6-6666-6-6-1100000000−3−3i3−3+3i33+3i33−3i3-11000007−700-1-11100000000000000000000000000007−71+i321−i32−1−i32−1+i32−ζ11−ζ23+ζ47+ζ59−ζ71+ζ83ζ11+ζ23−ζ47−ζ59+ζ71−ζ83ζ19+ζ31−ζ43+ζ55−ζ67−ζ79−ζ19−ζ31+ζ43−ζ55+ζ67+ζ7900000000000000000000000000000
χ916-6-6666-6-6-1100000000−3−3i3−3+3i33+3i33−3i3-1100000−7700-1-1110000000000000000000000000000−771+i321−i32−1−i32−1+i32ζ11+ζ23−ζ47−ζ59+ζ71−ζ83−ζ11−ζ23+ζ47+ζ59−ζ71+ζ83−ζ19−ζ31+ζ43−ζ55+ζ67+ζ79ζ19+ζ31−ζ43+ζ55−ζ67−ζ7900000000000000000000000000000
χ926-6-6666-6-6-1100000000−3+3i3−3−3i33−3i33+3i3-11000007−700-1-11100000000000000000000000000007−71−i321+i32−1+i32−1−i32ζ19+ζ31−ζ43+ζ55−ζ67−ζ79−ζ19−ζ31+ζ43−ζ55+ζ67+ζ79−ζ11−ζ23+ζ47+ζ59−ζ71+ζ83ζ11+ζ23−ζ47−ζ59+ζ71−ζ8300000000000000000000000000000
χ936-6-6666-6-6-1100000000−3+3i3−3−3i33−3i33+3i3-1100000−7700-1-1110000000000000000000000000000−771−i321+i32−1+i32−1−i32−ζ19−ζ31+ζ43−ζ55+ζ67+ζ79ζ19+ζ31−ζ43+ζ55−ζ67−ζ79ζ11+ζ23−ζ47−ζ59+ζ71−ζ83−ζ11−ζ23+ζ47+ζ59−ζ71+ζ8300000000000000000000000000000
χ946-6-66-2-2226-666-6-6000000006-66-66-600000-2-22200000-2-222-2-222000000000000000000000000000000000000000000000000000000
χ956-6-66-2-2226-6−3−3i3−3+3i33+3i33−3i3000000006-6−3−3i33+3i3−3+3i33−3i300000-2-222000001+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3000000000000000000000000000000000000000000000000000000
χ966-6-66-2-2226-6−3+3i3−3−3i33−3i33+3i3000000006-6−3+3i33−3i3−3−3i33+3i300000-2-222000001−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3000000000000000000000000000000000000000000000000000000
χ9718181818-6-6-6-6-3-30000180000000-3-30000-6-3-30011110000000000000000000000000000110000000000000000000000000000000000000
χ9818181818-6-6-6-6-3-30000-180000000-3-300006330011110000000000000000000000000000-1-10000000000000000000000000000000000000
χ9918-18-1818-6-666-33000000000000-330000037−370011-1-10000000000000000000000000000−770000000000000000000000000000000000000
χ10018-18-1818-6-666-33000000000000-3300000−37370011-1-100000000000000000000000000007−70000000000000000000000000000000000000
χ1013636-12-1212-1212-12-6-600000000000022000000000-22-220000000000000000000000000000000000000000000000000000000000000000000
χ1023636-12-12-1212-1212-6-6000000000000220000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ10336-3612-1212-12-1212-660000000000002-2000000000-222-20000000000000000000000000000000000000000000000000000000000000000000
χ10436-3612-12-121212-12-660000000000002-20000000002-2-220000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.