Finite Group Databasebeta

← Group #72253359

Character table — Group #72253359

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186
size111122222222222222444488888888888888888888881616161616161616161616161616161616161111222222222222224444888888888888888888888816161616161616161616161616161616161611112222222222222244448888888888888888888888161616161616161616161616161616161616
order1222222222444444442222222222222244448888888844444488888888888836666666661212121212121212666666666666661212121224242424242424241212121212122424242424242424242424243666666666121212121212121266666666666666121212122424242424242424121212121212242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111
χ9111111111111111111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1
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χ76111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i32−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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
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χ138111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+i32−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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
χ139111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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−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+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−i321−i321−i321−i321−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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ140111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i321+i321+i321+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−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+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−i321−i321−i321−i321−i321−i321−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+i321−i321−i32−1+i32−1+i321−i321−i32
χ1412222222222-2-2-2-2-2-2-2-222220000000000-2-20000002i2i−2i−2i00000000000000002i−2i−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000001+i31+i30000002ζ112ζ11−2ζ11−2ζ1100000000000000002ζ11−2ζ11−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000001−i31−i30000002ζ72ζ7−2ζ7−2ζ700000000000000002ζ7−2ζ7
χ1422222222222-2-2-2-2-2-2-2-222220000000000-2-2000000−2i−2i2i2i0000000000000000−2i2i−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000001+i31+i3000000−2ζ11−2ζ112ζ112ζ110000000000000000−2ζ112ζ11−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000001−i31−i3000000−2ζ7−2ζ72ζ72ζ70000000000000000−2ζ72ζ7
χ1432222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000220000002i2i−2i−2i0000000000000000−2i2i−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i30000000000−1−i3−1−i30000002ζ112ζ11−2ζ11−2ζ110000000000000000−2ζ112ζ11−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i30000000000−1+i3−1+i30000002ζ72ζ7−2ζ7−2ζ70000000000000000−2ζ72ζ7
χ1442222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000022000000−2i−2i2i2i00000000000000002i−2i−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i30000000000−1−i3−1−i3000000−2ζ11−2ζ112ζ112ζ1100000000000000002ζ11−2ζ11−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i30000000000−1+i3−1+i3000000−2ζ7−2ζ72ζ72ζ700000000000000002ζ7−2ζ7
χ14522222-2-2-22-22-2-22-222-20000000022-2-22200-2-2000000000000000000002-20000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i300000000−1−i3−1−i31+i31+i3−1−i3−1−i3001+i31+i300000000000000000000−1−i31+i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i300000000−1+i3−1+i31−i31−i3−1+i3−1+i3001−i31−i300000000000000000000−1+i31−i30000
χ14622222-2-2-22-22-2-22-222-20000000022-2-2-2-2002200000000000000000000-220000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i300000000−1−i3−1−i31+i31+i31+i31+i300−1−i3−1−i3000000000000000000001+i3−1−i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i300000000−1+i3−1+i31−i31−i31−i31−i300−1+i3−1+i3000000000000000000001−i3−1+i30000
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χ14822222-2-2-22-22-2-22-222-200000000-2-222-2-20022000000000000000000002-20000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3000000001+i31+i3−1−i3−1−i31+i31+i300−1−i3−1−i300000000000000000000−1−i31+i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3000000001−i31−i3−1+i3−1+i31−i31−i300−1+i3−1+i300000000000000000000−1+i31−i30000
χ1492222-22-2-2-22-22-22-22-22000022-2-2000000000022-2-200002-20000000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i30000−1−i3−1−i31+i31+i30000000000−1−i3−1−i31+i31+i30000−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i30000−1+i3−1+i31−i31−i30000000000−1+i3−1+i31−i31−i30000−1+i31−i30000000000000000
χ1502222-22-2-2-22-22-22-22-22000022-2-20000000000-2-2220000-220000000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i30000−1−i3−1−i31+i31+i300000000001+i31+i3−1−i3−1−i300001+i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i30000−1+i3−1+i31−i31−i300000000001−i31−i3−1+i3−1+i300001−i3−1+i30000000000000000
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χ1542-2-22222-2-2-2-2222-2-22-2000000002-22-2000000−2i2i−2i2i00000000−2i2i000000000000−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i300000000−1−i31+i3−1−i31+i3000000−2ζ112ζ11−2ζ112ζ1100000000−2ζ112ζ11000000000000−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i300000000−1+i31−i3−1+i31−i3000000−2ζ72ζ7−2ζ72ζ700000000−2ζ72ζ7000000000000
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χ1562-2-22222-2-2-2-2222-2-22-200000000-22-22000000−2i2i−2i2i000000002i−2i000000000000−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3000000001+i3−1−i31+i3−1−i3000000−2ζ112ζ11−2ζ112ζ11000000002ζ11−2ζ11000000000000−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3000000001−i3−1+i31−i3−1+i3000000−2ζ72ζ7−2ζ72ζ7000000002ζ7−2ζ7000000000000
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χ1582-2-222-2-22-22222-2-22-2-200002-22-200000000000000−2i2i−2i2i000000−2i2i0000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i31+i3−1−i31+i300000000000000−2ζ112ζ11−2ζ112ζ11000000−2ζ112ζ110000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i31−i3−1+i31−i300000000000000−2ζ72ζ7−2ζ72ζ7000000−2ζ72ζ70000000000
χ1592-2-222-2-22-22222-2-22-2-20000-22-22000000000000002i−2i2i−2i000000−2i2i0000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i300001+i3−1−i31+i3−1−i3000000000000002ζ11−2ζ112ζ11−2ζ11000000−2ζ112ζ110000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i300001−i3−1+i31−i3−1+i3000000000000002ζ7−2ζ72ζ7−2ζ7000000−2ζ72ζ70000000000
χ1602-2-222-2-22-22222-2-22-2-20000-22-2200000000000000−2i2i−2i2i0000002i−2i0000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i300001+i3−1−i31+i3−1−i300000000000000−2ζ112ζ11−2ζ112ζ110000002ζ11−2ζ110000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i300001−i3−1+i31−i3−1+i300000000000000−2ζ72ζ7−2ζ72ζ70000002ζ7−2ζ70000000000
χ1612-2-222-2-22-22-2-2-222-222000000002-2-2200000000002-2-22000000002-200000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i300000000−1−i31+i31+i3−1−i30000000000−1−i31+i31+i3−1−i300000000−1−i31+i300000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i300000000−1+i31−i31−i3−1+i30000000000−1+i31−i31−i3−1+i300000000−1+i31−i300000000
χ1622-2-222-2-22-22-2-2-222-222000000002-2-220000000000-222-200000000-2200000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i300000000−1−i31+i31+i3−1−i300000000001+i3−1−i3−1−i31+i3000000001+i3−1−i300000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i300000000−1+i31−i31−i3−1+i300000000001−i3−1+i3−1+i31−i3000000001−i3−1+i300000000
χ1632-2-222-2-22-22-2-2-222-22200000000-222-200000000002-2-2200000000-2200000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3000000001+i3−1−i3−1−i31+i30000000000−1−i31+i31+i3−1−i3000000001+i3−1−i300000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3000000001−i3−1+i3−1+i31−i30000000000−1+i31−i31−i3−1+i3000000001−i3−1+i300000000
χ1642-2-222-2-22-22-2-2-222-22200000000-222-20000000000-222-2000000002-200000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3000000001+i3−1−i3−1−i31+i300000000001+i3−1−i3−1−i31+i300000000−1−i31+i300000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3000000001−i3−1+i3−1+i31−i300000000001−i3−1+i3−1+i31−i300000000−1+i31−i300000000
χ1652-2-22-22-222-222-222-2-2-222-2-200000000002-2002i−2i−2i2i0000000000000000002i−2i00−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i30000000000−1−i31+i3002ζ11−2ζ11−2ζ112ζ110000000000000000002ζ11−2ζ1100−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i30000000000−1+i31−i3002ζ7−2ζ7−2ζ72ζ70000000000000000002ζ7−2ζ700
χ1662-2-22-22-222-222-222-2-2-222-2-200000000002-200−2i2i2i−2i000000000000000000−2i2i00−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i30000000000−1−i31+i300−2ζ112ζ112ζ11−2ζ11000000000000000000−2ζ112ζ1100−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i30000000000−1+i31−i300−2ζ72ζ72ζ7−2ζ7000000000000000000−2ζ72ζ700
χ1672-2-22-22-222-222-222-2-2-2-2-2220000000000-22002i−2i−2i2i000000000000000000−2i2i00−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i300000000001+i3−1−i3002ζ11−2ζ11−2ζ112ζ11000000000000000000−2ζ112ζ1100−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i300000000001−i3−1+i3002ζ7−2ζ7−2ζ72ζ7000000000000000000−2ζ72ζ700
χ1682-2-22-22-222-222-222-2-2-2-2-2220000000000-2200−2i2i2i−2i0000000000000000002i−2i00−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i300000000001+i3−1−i300−2ζ112ζ112ζ11−2ζ110000000000000000002ζ11−2ζ1100−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i300000000001−i3−1+i300−2ζ72ζ72ζ7−2ζ70000000000000000002ζ7−2ζ700
χ1692-2-22-22-222-2-2-22-2-222222-2-2000000002-2-222-200000000002-200000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300000000−1−i31+i31+i3−1−i3−1−i31+i30000000000−1−i31+i300000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300000000−1+i31−i31−i3−1+i3−1+i31−i30000000000−1+i31−i300000000000000
χ1702-2-22-22-222-2-2-22-2-222222-2-200000000-22-22-220000000000-2200000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3000000001+i3−1−i31+i3−1−i31+i3−1−i300000000001+i3−1−i300000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000001−i3−1+i31−i3−1+i31−i3−1+i300000000001−i3−1+i300000000000000
χ1712-2-22-22-222-2-2-22-2-2222-2-222000000002-22-22-20000000000-2200000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i300000000−1−i31+i3−1−i31+i3−1−i31+i300000000001+i3−1−i300000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i300000000−1+i31−i3−1+i31−i3−1+i31−i300000000001−i3−1+i300000000000000
χ1722-2-22-22-222-2-2-22-2-2222-2-22200000000-222-2-2200000000002-200000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3000000001+i3−1−i3−1−i31+i31+i3−1−i30000000000−1−i31+i300000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3000000001−i3−1+i3−1+i31−i31−i3−1+i30000000000−1+i31−i300000000000000
χ1732-2-22-2-22-222-22-2-2222-200002-2-2200002-200-220000000000000000002-2000000−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i30000−1−i31+i31+i3−1−i30000−1−i31+i3001+i3−1−i3000000000000000000−1−i31+i3000000−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i30000−1+i31−i31−i3−1+i30000−1+i31−i3001−i3−1+i3000000000000000000−1+i31−i3000000
χ1742-2-22-2-22-222-22-2-2222-200002-2-220000-22002-2000000000000000000-22000000−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i30000−1−i31+i31+i3−1−i300001+i3−1−i300−1−i31+i30000000000000000001+i3−1−i3000000−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i30000−1+i31−i31−i3−1+i300001−i3−1+i300−1+i31−i30000000000000000001−i3−1+i3000000
χ1752-2-22-2-22-222-22-2-2222-20000-222-200002-200-22000000000000000000-22000000−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i300001+i3−1−i3−1−i31+i30000−1−i31+i3001+i3−1−i30000000000000000001+i3−1−i3000000−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i300001−i3−1+i3−1+i31−i30000−1+i31−i3001−i3−1+i30000000000000000001−i3−1+i3000000
χ1762-2-22-2-22-222-22-2-2222-20000-222-20000-22002-20000000000000000002-2000000−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i300001+i3−1−i3−1−i31+i300001+i3−1−i300−1−i31+i3000000000000000000−1−i31+i3000000−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i300001−i3−1+i3−1+i31−i300001−i3−1+i300−1+i31−i3000000000000000000−1+i31−i3000000
χ17744444-4-4-44-4-444-44-4-4400000000000000000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i300000000000000000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i300000000000000000000000000000000000000000000
χ1784444-44-4-4-444-44-44-44-400000000000000000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i300000000000000000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i300000000000000000000000000000000000000000000
χ1794444-4-444-4-444-4-4-4-44400000000000000000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i32+2i3−2−2i3−2−2i300000000000000000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i32−2i3−2+2i3−2+2i300000000000000000000000000000000000000000000
χ1804444-4-444-4-4-4-44444-4-400000000000000000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i300000000000000000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i300000000000000000000000000000000000000000000
χ1814-4-44444-4-4-44-4-4-444-4400000000000000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3−2−2i300000000000000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3−2+2i300000000000000000000000000000000000000000000
χ1824-4-44-4-44-4444-444-4-4-4400000000000000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i3−2−2i300000000000000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i3−2+2i300000000000000000000000000000000000000000000
χ18388-8-8000000000000004-44-40000000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i300000000000000−2−2i32+2i3−2−2i32+2i30000000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i300000000000000−2+2i32−2i3−2+2i32−2i30000000000000000000000000000000000000000
χ18488-8-800000000000000-44-440000000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3000000000000002+2i3−2−2i32+2i3−2−2i30000000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3000000000000002−2i3−2+2i32−2i3−2+2i30000000000000000000000000000000000000000
χ1858-88-8000000000000004-4-440000000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i300000000000000−2−2i32+2i32+2i3−2−2i30000000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i300000000000000−2+2i32−2i32−2i3−2+2i30000000000000000000000000000000000000000
χ1868-88-800000000000000-444-40000000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i3000000000000002+2i3−2−2i3−2−2i32+2i30000000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i3000000000000002−2i3−2+2i3−2+2i32−2i30000000000000000000000000000000000000000

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