Finite Group Databasebeta

← Group #13158358

Character table — Group #13158358

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222222222222444444444444444444444444444418181818181818182424242424242424242424241111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order122222334444666666366666666666121212121212121212121212121212128888888824446612121212121236666633121212126666663666666666661212121212121212121212121212121224242424242424246121212661212121212123666663312121212666666366666666666121212121212121212121212121212122424242424242424612121266121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ61111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111
χ71111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ81111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
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χ102222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002200-1-1-1-100002222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002200-1-1-1-100002222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002200-1-1-1-10000
χ112222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-200111100002222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-200111100002222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-20011110000
χ122222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000−i3i3−i3i300002222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000−i3i3−i3i300002222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000−i3i3−i3i30000
χ132222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000i3−i3i3−i300002222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000i3−i3i3−i300002222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000i3−i3i3−i30000
χ14222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-1222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-1222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-1
χ15222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200001111222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200001111222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200001111
χ16222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000−i3i3−i3i3222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000−i3i3−i3i3222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000−i3i3−i3i3
χ17222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000i3−i3i3−i3222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000i3−i3i3−i3222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000i3−i3i3−i3
χ182222-2-222-222-22222222-2-2-2-222-2-2-2-22-2-222-2-222-2-2-2-22222000000000000000000002222-2-222-222-22222222-2-2-2-222-2-2-2-22-2-222-2-222-2-2-2-22222000000000000000000002222-2-222-222-22222222-2-2-2-222-2-2-2-22-2-222-2-222-2-2-2-2222200000000000000000000
χ192222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-11111000000002-200-1-11100002222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-11111000000002-200-1-11100002222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-11111000000002-200-1-1110000
χ202222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-1111100000000-220011-1-100002222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-1111100000000-220011-1-100002222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-1111100000000-220011-1-10000
χ212222-2-22-1-222-22-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000000000−i3i3i3−i300002222-2-22-1-222-22-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000000000−i3i3i3−i300002222-2-22-1-222-22-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000000000−i3i3i3−i30000
χ222222-2-22-1-222-22-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000000000i3−i3−i3i300002222-2-22-1-222-22-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000000000i3−i3−i3i300002222-2-22-1-222-22-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000000000i3−i3−i3i30000
χ232222-2-2-122-2-22-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-1111100000000002-20000-1-1112222-2-2-122-2-22-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-1111100000000002-20000-1-1112222-2-2-122-2-22-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-1111100000000002-20000-1-111
χ242222-2-2-122-2-22-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-111110000000000-22000011-1-12222-2-2-122-2-22-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-111110000000000-22000011-1-12222-2-2-122-2-22-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-111110000000000-22000011-1-1
χ252222-2-2-12-222-2-122-12-1-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-10000000000000000−i3i3i3−i32222-2-2-12-222-2-122-12-1-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-10000000000000000−i3i3i3−i32222-2-2-12-222-2-122-12-1-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-10000000000000000−i3i3i3−i3
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χ7522222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+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−i31−i31−i31−i31−i300000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−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+i31+i31+i31+i31+i300000000000000000000
χ762222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002200-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−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−i3200000000−1+i3−1+i3001−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+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+i3200000000−1−i3−1−i3001+i321+i321+i321+i320000
χ772222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-20011110000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−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−i32000000001−i31−i300−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+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+i32000000001+i31+i300−1−i32−1−i32−1−i32−1−i320000
χ782222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000−i3i3−i3i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000003+i32−3−i323+i32−3−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−3+i323−i32−3+i323−i320000
χ792222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000i3−i3i3−i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000−3−i323+i32−3−i323+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000003−i32−3+i323−i32−3+i320000
χ80222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000−1+i3−1+i300001−i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000−1−i3−1−i300001+i321+i321+i321+i32
χ81222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200001111−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000001−i31−i30000−1+i32−1+i32−1+i32−1+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000001+i31+i30000−1−i32−1−i32−1−i32−1−i32
χ82222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000−i3i3−i3i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i31−i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−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+i32−1+i32−1+i32−1+i32−1+i3200000000000000003+i32−3−i323+i32−3−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i31+i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+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−i32−1−i32−1−i32−1−i32−1−i320000000000000000−3+i323−i32−3+i323−i32
χ83222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000i3−i3i3−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i31−i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−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+i32−1+i32−1+i32−1+i32−1+i320000000000000000−3−i323+i32−3−i323+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i31+i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+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−i32−1−i32−1−i32−1−i32−1−i3200000000000000003−i32−3+i323−i32−3+i32
χ842222-2-222-222-22222222-2-2-2-222-2-2-2-22-2-222-2-222-2-2-2-2222200000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000000000
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χ862222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-1111100000000-220011-1-10000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000001−i3−1+i300−1+i32−1+i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000001+i3−1−i300−1−i32−1−i321+i321+i320000
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χ1422222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002200-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+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+i3200000000−1−i3−1−i3001+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−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−i3200000000−1+i3−1+i3001−i321−i321−i321−i320000
χ1432222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-20011110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+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+i32000000001+i31+i300−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−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−i32000000001−i31−i300−1+i32−1+i32−1+i32−1+i320000
χ1442222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000−i3i3−i3i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−3+i323−i32−3+i323−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000003+i32−3−i323+i32−3−i320000
χ1452222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000i3−i3i3−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000003−i32−3+i323−i32−3+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000−3−i323+i32−3−i323+i320000
χ146222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000−1−i3−1−i300001+i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000−1+i3−1+i300001−i321−i321−i321−i32
χ147222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200001111−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000001+i31+i30000−1−i32−1−i32−1−i32−1−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000001−i31−i30000−1+i32−1+i32−1+i32−1+i32
χ148222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000−i3i3−i3i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i31+i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+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−i32−1−i32−1−i32−1−i32−1−i320000000000000000−3+i323−i32−3+i323−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i31−i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−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+i32−1+i32−1+i32−1+i32−1+i3200000000000000003+i32−3−i323+i32−3−i32
χ149222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000i3−i3i3−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i31+i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+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−i32−1−i32−1−i32−1−i32−1−i3200000000000000003−i32−3+i323−i32−3+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i31−i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−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+i32−1+i32−1+i32−1+i32−1+i320000000000000000−3−i323+i32−3−i323+i32
χ1502222-2-222-222-22222222-2-2-2-222-2-2-2-22-2-222-2-222-2-2-2-2222200000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000000000
χ1512222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-11111000000002-200-1-1110000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1−i31+i3001+i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1+i31−i3001−i321−i32−1+i32−1+i320000
χ1522222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-1111100000000-220011-1-10000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000001+i3−1−i300−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000001−i3−1+i300−1+i32−1+i321−i321−i320000
χ1532222-2-22-1-222-22-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000000000−i3i3i3−i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i3−1−i31+i3−1−i31+i321+i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−3+i323−i323−i32−3+i320000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i3−1+i31−i3−1+i31−i321−i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000003+i32−3−i32−3−i323+i320000
χ1542222-2-22-1-222-22-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000000000i3−i3−i3i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i3−1−i31+i3−1−i31+i321+i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000003−i32−3+i32−3+i323−i320000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i3−1+i31−i3−1+i31−i321−i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000−3−i323+i323+i32−3−i320000
χ1552222-2-2-122-2-22-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-1111100000000002-20000-1-111−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000−1−i31+i300001+i321+i32−1−i32−1−i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000−1+i31−i300001−i321−i32−1+i32−1+i32
χ1562222-2-2-122-2-22-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-111110000000000-22000011-1-1−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000001+i3−1−i30000−1−i32−1−i321+i321+i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000001−i3−1+i30000−1+i32−1+i321−i321−i32
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.