Finite Group Databasebeta

← Group #72271618

Character table — Group #72271618

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159
size112222222444444444444888888881616161616161616161616161616161616161616161616161122222224444444444448888888816161616161616161616161616161616161616161616161611222222244444444444488888888161616161616161616161616161616161616161616161616
order1222244444444888888882444888822224444444488881616161616161616366661212121212121212242424242424242461212122424242466661212121212121212242424244848484848484848366661212121212121212242424242424242461212122424242466661212121212121212242424244848484848484848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1111111-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-11111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-11111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-11111-1-1-1-1
χ9111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-11-11-1-1-1-11111-1-111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-11-11-1-1-1-11111-1-111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-11-11-1-1-1-11111-1-111-1-111-1-1
χ10111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-11-11111-1-1-1-11111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-11-11111-1-1-1-11111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-11-11111-1-1-1-11111-1-111-1-1
χ13111111111-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-11111-1-111-1-111111-11-1-1-1-1-1-1-11111-1-11111-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-111111-11-1-1-1-1-1-1-11111-1-11111-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-111111-11-1-1-1-1-1-1-11111-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11-11111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11-11111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11-11111111-1-1-1-1-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ172222222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000002222222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000002222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000002222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000002222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ19222222222-2-2-2-22222-2-2-2-222-2-2-2-222000000000000000000000000222222222-2-2-2-22222-2-2-2-222-2-2-2-222000000000000000000000000222222222-2-2-2-22222-2-2-2-222-2-2-2-222000000000000000000000000
χ20222222222-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000222222222-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000222222222-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000
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χ23222-2-2-222-22i2i−2i−2i−2i−2i2i2i-2-2220000000000020-2000000002i−2i00000000222-2-2-222-22i2i−2i−2i−2i−2i2i2i-2-2220000000000020-2000000002i−2i00000000222-2-2-222-22i2i−2i−2i−2i−2i2i2i-2-2220000000000020-2000000002i−2i00000000
χ24222-2-2-222-22i2i−2i−2i−2i−2i2i2i-2-22200000000000-20200000000−2i2i00000000222-2-2-222-22i2i−2i−2i−2i−2i2i2i-2-22200000000000-20200000000−2i2i00000000222-2-2-222-22i2i−2i−2i−2i−2i2i2i-2-22200000000000-20200000000−2i2i00000000
χ25222-2-2-222-2−2i−2i2i2i2i2i−2i−2i-2-2220000000000020-200000000−2i2i00000000222-2-2-222-2−2i−2i2i2i2i2i−2i−2i-2-2220000000000020-200000000−2i2i00000000222-2-2-222-2−2i−2i2i2i2i2i−2i−2i-2-2220000000000020-200000000−2i2i00000000
χ26222-2-2-222-2−2i−2i2i2i2i2i−2i−2i-2-22200000000000-202000000002i−2i00000000222-2-2-222-2−2i−2i2i2i2i2i−2i−2i-2-22200000000000-202000000002i−2i00000000222-2-2-222-2−2i−2i2i2i2i2i−2i−2i-2-22200000000000-202000000002i−2i00000000
χ27222-2-2-222-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000002i−2i0000-220000000000222-2-2-222-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000002i−2i0000-220000000000222-2-2-222-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000002i−2i0000-220000000000
χ28222-2-2-222-2−2i−2i2i2i−2i−2i2i2i22-2-200000000000000−2i2i00002-20000000000222-2-2-222-2−2i−2i2i2i−2i−2i2i2i22-2-200000000000000−2i2i00002-20000000000222-2-2-222-2−2i−2i2i2i−2i−2i2i2i22-2-200000000000000−2i2i00002-20000000000
χ2922-22-222-2-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000002i−2i2-222-22-222-2-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000002i−2i2-222-22-222-2-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000002i−2i2-2
χ3022-22-222-2-22i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000000000−2i2i-2222-22-222-2-22i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000000000−2i2i-2222-22-222-2-22i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000000000−2i2i-22
χ3122-22-222-2-22i−2i2i−2i−2i2i−2i2i-22-220000000000000000000000002-22i−2i000022-22-222-2-22i−2i2i−2i−2i2i−2i2i-22-220000000000000000000000002-22i−2i000022-22-222-2-22i−2i2i−2i−2i2i−2i2i-22-220000000000000000000000002-22i−2i0000
χ3222-22-222-2-22i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000-22−2i2i000022-22-222-2-22i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000-22−2i2i000022-22-222-2-22i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000-22−2i2i0000
χ3322-22-222-2-2−2i2i−2i2i2i−2i2i−2i-22-220000000000000000000000002-2−2i2i000022-22-222-2-2−2i2i−2i2i2i−2i2i−2i-22-220000000000000000000000002-2−2i2i000022-22-222-2-2−2i2i−2i2i2i−2i2i−2i-22-220000000000000000000000002-2−2i2i0000
χ3422-22-222-2-2−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000-222i−2i000022-22-222-2-2−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000-222i−2i000022-22-222-2-2−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000-222i−2i0000
χ3522-22-222-2-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000002i−2i-2222-22-222-2-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000002i−2i-2222-22-222-2-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000002i−2i-22
χ3622-22-222-2-2−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000000000−2i2i2-222-22-222-2-2−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000000000−2i2i2-222-22-222-2-2−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000000000−2i2i2-2
χ3722-2-22-22-222-2-222-2-222-2-22000000002-20000002-20000000000000022-2-22-22-222-2-222-2-222-2-22000000002-20000002-20000000000000022-2-22-22-222-2-222-2-222-2-22000000002-20000002-200000000000000
χ3822-2-22-22-222-2-222-2-222-2-2200000000-22000000-220000000000000022-2-22-22-222-2-222-2-222-2-2200000000-22000000-220000000000000022-2-22-22-222-2-222-2-222-2-2200000000-22000000-2200000000000000
χ3922-2-22-22-222-2-22-222-2-222-2000000000020-2000002-200000000000022-2-22-22-222-2-22-222-2-222-2000000000020-2000002-200000000000022-2-22-22-222-2-22-222-2-222-2000000000020-2000002-2000000000000
χ4022-2-22-22-222-2-22-222-2-222-20000000000-20200000-2200000000000022-2-22-22-222-2-22-222-2-222-20000000000-20200000-2200000000000022-2-22-22-222-2-22-222-2-222-20000000000-20200000-22000000000000
χ4122-2-22-22-22-222-22-2-22-222-2000000000020-200000-2200000000000022-2-22-22-22-222-22-2-22-222-2000000000020-200000-2200000000000022-2-22-22-22-222-22-2-22-222-2000000000020-200000-22000000000000
χ4222-2-22-22-22-222-22-2-22-222-20000000000-202000002-200000000000022-2-22-22-22-222-22-2-22-222-20000000000-202000002-200000000000022-2-22-22-22-222-22-2-22-222-20000000000-202000002-2000000000000
χ4322-2-22-22-22-222-2-222-22-2-22000000002-2000000-220000000000000022-2-22-22-22-222-2-222-22-2-22000000002-2000000-220000000000000022-2-22-22-22-222-2-222-22-2-22000000002-2000000-2200000000000000
χ4422-2-22-22-22-222-2-222-22-2-2200000000-220000002-20000000000000022-2-22-22-22-222-2-222-22-2-2200000000-220000002-20000000000000022-2-22-22-22-222-2-222-22-2-2200000000-220000002-200000000000000
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χ5411111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ5511111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−1+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+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−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−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ5611111111111111111111111111111-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1−1+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+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ5711111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ58111111111111111111111-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1111111-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−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+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ59111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i321+i321+i321+i321+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
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χ62111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-11-11-1-1-1-11111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ63111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ64111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ65111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-11-11111-1-1-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
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χ67111111111-1-1-1-1-1-1-1-11111-1-111-1-111111-11-1-1-1-1-1-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
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χ119111111111-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ120111111111-1-1-1-1-1-1-1-11111-1-111-1-111111-11-1-1-1-1-1-1-11111-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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χ15916-16000000000000000000000000000000000000000000000000000−8−8i38+8i3000000000000000000000000000000000000000000000000000−8+8i38−8i3000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.