Finite Group Databasebeta

← Group #10632013

Character table — Group #10632013

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111222222222222222222222222222222444444444444444444444444444444888888888888888888888888161616161616161616161616161616161616161616161616
order123344661212121222244466666688881212121212122424242424242424881616161616161616242424244848484848484848484848484848484824668812121616161624242424484848484848484824446688881212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-1-1-11111
χ911−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+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+i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−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−i32−1+i32−1+i32
χ1011−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+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+i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321−i32-1-1-1-11+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32
χ1111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+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+i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ1211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+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+i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321−i3211111+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ1311−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+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+i32−1+i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1+i32-1-111−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ1411−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+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+i32−1+i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321−i3211-1-11+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ1511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+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+i32−1+i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-11+i321−i32-1-11+i321−i3211111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1+i3211-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ1611−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+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+i32−1+i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-11+i321−i32-1-11+i321−i3211111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1111+i321−i32-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ1711−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−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−i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+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+i32−1−i32−1−i32
χ1811−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−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−i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321+i32-1-1-1-11−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32
χ1911−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−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−i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ2011−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−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−i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321+i3211111−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ2111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−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−i32−1−i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1−i32-1-111−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ2211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−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−i32−1−i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321+i3211-1-11−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ2311−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−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−i32−1−i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-11−i321+i32-1-11−i321+i3211111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1−i3211-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ2411−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−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−i32−1−i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-11−i321+i32-1-11−i321+i3211111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1111−i321+i32-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ25222222222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000002222-2-2220000-2-2-2-200000000000000000000000000000000
χ26222222222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000-2-2-2-222-2-20000222200000000000000000000000000000000
χ272222222222222-2-2-22-22-22-2-2-22222-2-22-22-222222222-2-200000000-2-2-2-200000000000000000000000022-2-2000022-2-222-2-2000000000000000000000000
χ282222222222222-2-2-22-22-22-2-2-22222-2-22-22-222222222-2-200000000-2-2-2-2000000000000000000000000-2-2220000-2-222-2-222000000000000000000000000
χ292222222222222-2-2-22-22-22-2-2-2-2-2-2-2-2-22-22-2-2-2-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i22222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ302222222222222-2-2-22-22-22-2-2-2-2-2-2-2-2-22-22-2-2-2-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i2222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
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χ322222-2-222-2-2-2-2222-2-2-22222220000-2-2-2-2-2-2000000000022−2−222−2−2000022−2−222−2−222−2−222−2−20000−2i2i00i2−i2i2−i2−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2000000000000000000000000
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χ1154-4−2+2i3−2−2i34i−4i2−2i32+2i34ζ28−4ζ284ζ44−4ζ44000000000000−22222i2−2i2000000−2ζ10+2ζ462ζ10−2ζ46−2ζ10−2ζ462ζ10+2ζ462ζ14−2ζ26−2ζ14+2ζ26−2ζ14−2ζ262ζ14+2ζ2600−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ2900002ζ31−2ζ312ζ43−2ζ43−2ζ252ζ252ζ13−2ζ132ζ47−2ζ472ζ11−2ζ11−2ζ412ζ412ζ29−2ζ29000000000000000000000000000000000000000000000000
χ1164-4−2+2i3−2−2i34i−4i2−2i32+2i34ζ28−4ζ284ζ44−4ζ44000000000000−22222i2−2i2000000−2ζ10+2ζ462ζ10−2ζ46−2ζ10−2ζ462ζ10+2ζ462ζ14−2ζ26−2ζ14+2ζ26−2ζ14−2ζ262ζ14+2ζ26002ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ290000−2ζ312ζ31−2ζ432ζ432ζ25−2ζ25−2ζ132ζ13−2ζ472ζ47−2ζ112ζ112ζ41−2ζ41−2ζ292ζ29000000000000000000000000000000000000000000000000
χ1174-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ284ζ28−4ζ444ζ4400000000000022−222i2−2i20000002ζ10−2ζ46−2ζ10+2ζ46−2ζ10−2ζ462ζ10+2ζ46−2ζ14+2ζ262ζ14−2ζ26−2ζ14−2ζ262ζ14+2ζ2600−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ4700002ζ13−2ζ13−2ζ252ζ25−2ζ432ζ43−2ζ312ζ312ζ29−2ζ29−2ζ412ζ41−2ζ112ζ11−2ζ472ζ47000000000000000000000000000000000000000000000000
χ1184-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ284ζ28−4ζ444ζ4400000000000022−222i2−2i20000002ζ10−2ζ46−2ζ10+2ζ46−2ζ10−2ζ462ζ10+2ζ46−2ζ14+2ζ262ζ14−2ζ26−2ζ14−2ζ262ζ14+2ζ26002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ470000−2ζ132ζ132ζ25−2ζ252ζ43−2ζ432ζ31−2ζ31−2ζ292ζ292ζ41−2ζ412ζ11−2ζ112ζ47−2ζ47000000000000000000000000000000000000000000000000
χ1194-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ284ζ28−4ζ444ζ44000000000000−2222−2i22i2000000−2ζ10+2ζ462ζ10−2ζ462ζ10+2ζ46−2ζ10−2ζ462ζ14−2ζ26−2ζ14+2ζ262ζ14+2ζ26−2ζ14−2ζ2600−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ4300002ζ25−2ζ252ζ13−2ζ13−2ζ312ζ312ζ43−2ζ432ζ41−2ζ412ζ29−2ζ29−2ζ472ζ472ζ11−2ζ11000000000000000000000000000000000000000000000000
χ1204-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ284ζ28−4ζ444ζ44000000000000−2222−2i22i2000000−2ζ10+2ζ462ζ10−2ζ462ζ10+2ζ46−2ζ10−2ζ462ζ14−2ζ26−2ζ14+2ζ262ζ14+2ζ26−2ζ14−2ζ26002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ430000−2ζ252ζ25−2ζ132ζ132ζ31−2ζ31−2ζ432ζ43−2ζ412ζ41−2ζ292ζ292ζ47−2ζ47−2ζ112ζ11000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.