Finite Group Databasebeta

← Group #11868780

Character table — Group #11868780

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222222244444444444444888888888888121212121212121224242424111122222222222222222244444444444444888888888888121212121212121224242424111122222222222222222244444444444444888888888888121212121212121224242424
order122222344444444666666644121212121212121212121212444412121212121212122244444488883666663121212121212121266666661212121212121212121212121212121212121212121212121212661212121212122424242436666631212121212121212666666612121212121212121212121212121212121212121212121212126612121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-11-11-11111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-11-11-11111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-11-11-1
χ101111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-11-11-111-1-111-1-1-1-111-1-111-11-111111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-11-11-111-1-111-1-1-1-111-1-111-11-111111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-11-11-111-1-111-1-1-1-111-1-111-11-11
χ111111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-1-11-11-1-111-1-11111-1-111-1-1-11-111111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-1-11-11-1-111-1-11111-1-111-1-1-11-111111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-1-11-11-1-111-1-11111-1-111-1-1-11-11
χ121111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-1-11-11-1-111-1-111-1-111-1-1111-11-11111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-1-11-11-1-111-1-111-1-111-1-1111-11-11111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-1-11-11-1-111-1-111-1-111-1-1111-11-1
χ131111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-1111-1-111111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-1111-1-111111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-1111-1-11
χ141111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-11111-1-1-111-11111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-11111-1-1-111-11111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-111-111-1-1-11111-1-111-1-1-1-111-111-11111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-111-111-1-1-11111-1-111-1-1-1-111-111-11111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-111-111-1-1-11111-1-111-1-1-1-111-111-1
χ161111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-111-111-1-1-11111-1-1-1-11111-1-11-1-111111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-111-111-1-1-11111-1-1-1-11111-1-11-1-111111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-111-111-1-1-11111-1-1-1-11111-1-11-1-11
χ172222222-2-2-222-2-2-222222222-2-2-2-2-22222-2-2-2-20000000000000000000000002222222-2-2-222-2-2-222222222-2-2-2-2-22222-2-2-2-20000000000000000000000002222222-2-2-222-2-2-222222222-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ182222222-2-2-2-2-222-22222222-22-2-2-2-2-2-2-2-222220000000000000000000000002222222-2-2-2-2-222-22222222-22-2-2-2-2-2-2-2-222220000000000000000000000002222222-2-2-2-2-222-22222222-22-2-2-2-2-2-2-2-22222000000000000000000000000
χ19222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ20222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ21222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ22222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ23222222-1-2-2-222-2-2-2-1-1-1-1-1-1-12-21111-1-1-1-111110000−i3i3−i3i3−i3i3−i3i3000000000000222222-1-2-2-222-2-2-2-1-1-1-1-1-1-12-21111-1-1-1-111110000−i3i3−i3i3−i3i3−i3i3000000000000222222-1-2-2-222-2-2-2-1-1-1-1-1-1-12-21111-1-1-1-111110000−i3i3−i3i3−i3i3−i3i3000000000000
χ24222222-1-2-2-222-2-2-2-1-1-1-1-1-1-12-21111-1-1-1-111110000i3−i3i3−i3i3−i3i3−i3000000000000222222-1-2-2-222-2-2-2-1-1-1-1-1-1-12-21111-1-1-1-111110000i3−i3i3−i3i3−i3i3−i3000000000000222222-1-2-2-222-2-2-2-1-1-1-1-1-1-12-21111-1-1-1-111110000i3−i3i3−i3i3−i3i3−i3000000000000
χ25222222-1-2-2-2-2-222-2-1-1-1-1-1-1-1-2211111111-1-1-1-10000−i3i3−i3i3i3−i3i3−i3000000000000222222-1-2-2-2-2-222-2-1-1-1-1-1-1-1-2211111111-1-1-1-10000−i3i3−i3i3i3−i3i3−i3000000000000222222-1-2-2-2-2-222-2-1-1-1-1-1-1-1-2211111111-1-1-1-10000−i3i3−i3i3i3−i3i3−i3000000000000
χ26222222-1-2-2-2-2-222-2-1-1-1-1-1-1-1-2211111111-1-1-1-10000i3−i3i3−i3−i3i3−i3i3000000000000222222-1-2-2-2-2-222-2-1-1-1-1-1-1-1-2211111111-1-1-1-10000i3−i3i3−i3−i3i3−i3i3000000000000222222-1-2-2-2-2-222-2-1-1-1-1-1-1-1-2211111111-1-1-1-10000i3−i3i3−i3−i3i3−i3i3000000000000
χ272222-2-22-2222222-2-2-2-2-2222-2-2-2-22222-2-2-2-2220000000000000000000000002222-2-22-2222222-2-2-2-2-2222-2-2-2-22222-2-2-2-2220000000000000000000000002222-2-22-2222222-2-2-2-2-2222-2-2-2-22222-2-2-2-222000000000000000000000000
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χ731111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-1111-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ741111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-11111-1-1-111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32
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χ761111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-111-111-1-1-11111-1-1-1-11111-1-11-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−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+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+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−i321+i321+i32−1−i32
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χ79222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000
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χ1271111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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−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+i321−i321−i321−i321−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−i321−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ1281111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321+i321+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+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−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1291111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−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−i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+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+i321−i32−1+i321−i32
χ1301111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-11-11-111-1-111-1-1-1-111-1-111-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−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+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+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−i32−1+i321−i32−1+i32
χ1311111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-1-11-11-1-111-1-11111-1-111-1-1-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ1321111-1-111-1-111-1-11-1-1-1-1111-1111-1-111-1-111-1-1-11-11-1-111-1-111-1-111-1-1111-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+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−i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−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+i321−i32−1+i321−i32
χ1331111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-1111-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ1341111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-11111-1-1-111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32
χ1351111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-111-111-1-1-11111-1-111-1-1-1-111-111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ1361111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-1-111-111-1-1-11111-1-1-1-11111-1-11-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+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−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−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+i321−i321−i32−1+i32
χ1372222222-2-2-222-2-2-222222222-2-2-2-2-22222-2-2-2-2000000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000000000000000
χ1382222222-2-2-2-2-222-22222222-22-2-2-2-2-2-2-2-22222000000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3000000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3000000000000000000000000
χ139222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ140222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ141222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ142222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
χ143222222-1-2-2-222-2-2-2-1-1-1-1-1-1-12-21111-1-1-1-111110000−i3i3−i3i3−i3i3−i3i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i3−1−i3−1−i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i3−1+i3−1+i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200003+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i32000000000000
χ144222222-1-2-2-222-2-2-2-1-1-1-1-1-1-12-21111-1-1-1-111110000i3−i3i3−i3i3−i3i3−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i3−1−i3−1−i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200003−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i3−1+i3−1+i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i32000000000000
χ145222222-1-2-2-2-2-222-2-1-1-1-1-1-1-1-2211111111-1-1-1-10000−i3i3−i3i3i3−i3i3−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i321+i321+i321+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i321−i321−i321−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200003+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i32000000000000
χ146222222-1-2-2-2-2-222-2-1-1-1-1-1-1-1-2211111111-1-1-1-10000i3−i3i3−i3−i3i3−i3i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i321+i321+i321+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200003−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i321−i321−i321−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i32000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.