Finite Group Databasebeta

← Group #13175117

Character table — Group #13175117

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252
size111122222222444444444444466661212121212121212121218183611112222222244444444444446666121212121212121212121818361111222222224444444444444666612121212121212121212181836111122222222444444444444466661212121212121212121218183611112222222244444444444446666121212121212121212121818361111222222224444444444444666612121212121212121212181836
order12223366666623666666666664444441212121212121212442366633666666636666666666612121212121212121212121212121212636663366666663666666666661212121212121212121212121212121262222666666662666666666666444444121212121212121244266666666666666666666666661212121212121212121212121212121266666666666666666666666666121212121212121212121212121212126
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-11-1-1-1-11111-1-1-11111111111111111111111111-1-111-11-1-1-1-11111-1-1-11111111111111111111111111-1-111-11-1-1-1-11111-1-1-11111111111111111111111111-1-111-11-1-1-1-11111-1-1-11111111111111111111111111-1-111-11-1-1-1-11111-1-1-11111111111111111111111111-1-111-11-1-1-1-11111-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1
χ6111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11
χ7111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11
χ8111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1
χ922222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-1000
χ1022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-20000111100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-20000111100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-20000111100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-20000111100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-20000111100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-200001111000
χ1122222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-11100022222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-11100022222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-11100022222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-11100022222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-11100022222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-111000
χ1222222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-100022222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-100022222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-100022222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-100022222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-100022222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-1000
χ132222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-10000000
χ142222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1-2-200-20111100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1-2-200-20111100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1-2-200-20111100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1-2-200-20111100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1-2-200-20111100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1-2-200-2011110000000
χ152222-12-12-1-122-2-111-2-2-1-1-111112200-20-1-11100000002222-12-12-1-122-2-111-2-2-1-1-111112200-20-1-11100000002222-12-12-1-122-2-111-2-2-1-1-111112200-20-1-11100000002222-12-12-1-122-2-111-2-2-1-1-111112200-20-1-11100000002222-12-12-1-122-2-111-2-2-1-1-111112200-20-1-11100000002222-12-12-1-122-2-111-2-2-1-1-111112200-20-1-1110000000
χ162222-12-12-1-122-2-111-2-2-1-1-11111-2-2002011-1-100000002222-12-12-1-122-2-111-2-2-1-1-11111-2-2002011-1-100000002222-12-12-1-122-2-111-2-2-1-1-11111-2-2002011-1-100000002222-12-12-1-122-2-111-2-2-1-1-11111-2-2002011-1-100000002222-12-12-1-122-2-111-2-2-1-1-11111-2-2002011-1-100000002222-12-12-1-122-2-111-2-2-1-1-11111-2-2002011-1-10000000
χ1722-2-2222-2-2-22-20200002-2-200002i−2i00002i−2i00000000022-2-2222-2-2-22-20200002-2-200002i−2i00002i−2i00000000022-2-2222-2-2-22-20200002-2-200002i−2i00002i−2i00000000022-2-2222-2-2-22-20200002-2-200002i−2i00002i−2i00000000022-2-2222-2-2-22-20200002-2-200002i−2i00002i−2i00000000022-2-2222-2-2-22-20200002-2-200002i−2i00002i−2i000000000
χ1822-2-2222-2-2-22-20200002-2-20000−2i2i0000−2i2i00000000022-2-2222-2-2-22-20200002-2-20000−2i2i0000−2i2i00000000022-2-2222-2-2-22-20200002-2-20000−2i2i0000−2i2i00000000022-2-2222-2-2-22-20200002-2-20000−2i2i0000−2i2i00000000022-2-2222-2-2-22-20200002-2-20000−2i2i0000−2i2i00000000022-2-2222-2-2-22-20200002-2-20000−2i2i0000−2i2i000000000
χ1922-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i32i−2i0000−ii3−3000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i32i−2i0000−ii3−3000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i32i−2i0000−ii3−3000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i32i−2i0000−ii3−3000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i32i−2i0000−ii3−3000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i32i−2i0000−ii3−30000000
χ2022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i3−2i2i0000i−i−33000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i3−2i2i0000i−i−33000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i3−2i2i0000i−i−33000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i3−2i2i0000i−i−33000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i3−2i2i0000i−i−33000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i3−2i2i0000i−i−330000000
χ2122-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i32i−2i0000−ii−33000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i32i−2i0000−ii−33000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i32i−2i0000−ii−33000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i32i−2i0000−ii−33000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i32i−2i0000−ii−33000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i32i−2i0000−ii−330000000
χ2222-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i3−2i2i0000i−i3−3000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i3−2i2i0000i−i3−3000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i3−2i2i0000i−i3−3000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i3−2i2i0000i−i3−3000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i3−2i2i0000i−i3−3000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i3−2i2i0000i−i3−30000000
χ232-22-222-222-2-2-2020000-22-20000002i−2i0000002i−2i000002-22-222-222-2-2-2020000-22-20000002i−2i0000002i−2i000002-22-222-222-2-2-2020000-22-20000002i−2i0000002i−2i000002-22-222-222-2-2-2020000-22-20000002i−2i0000002i−2i000002-22-222-222-2-2-2020000-22-20000002i−2i0000002i−2i000002-22-222-222-2-2-2020000-22-20000002i−2i0000002i−2i00000
χ242-22-222-222-2-2-2020000-22-2000000−2i2i000000−2i2i000002-22-222-222-2-2-2020000-22-2000000−2i2i000000−2i2i000002-22-222-222-2-2-2020000-22-2000000−2i2i000000−2i2i000002-22-222-222-2-2-2020000-22-2000000−2i2i000000−2i2i000002-22-222-222-2-2-2020000-22-2000000−2i2i000000−2i2i000002-22-222-222-2-2-2020000-22-2000000−2i2i000000−2i2i00000
χ252-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i3002i−2i000000−ii3−30002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i3002i−2i000000−ii3−30002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i3002i−2i000000−ii3−30002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i3002i−2i000000−ii3−30002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i3002i−2i000000−ii3−30002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i3002i−2i000000−ii3−3000
χ262-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i300−2i2i000000i−i−330002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i300−2i2i000000i−i−330002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i300−2i2i000000i−i−330002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i300−2i2i000000i−i−330002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i300−2i2i000000i−i−330002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i300−2i2i000000i−i−33000
χ272-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i3002i−2i000000−ii−330002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i3002i−2i000000−ii−330002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i3002i−2i000000−ii−330002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i3002i−2i000000−ii−330002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i3002i−2i000000−ii−330002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i3002i−2i000000−ii−33000
χ282-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i300−2i2i000000i−i3−30002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i300−2i2i000000i−i3−30002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i300−2i2i000000i−i3−30002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i300−2i2i000000i−i3−30002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i300−2i2i000000i−i3−30002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i300−2i2i000000i−i3−3000
χ292-2-2222-2-2-22-22020000-2-220000000000000000002-202-2-2222-2-2-22-22020000-2-220000000000000000002-202-2-2222-2-2-22-22020000-2-220000000000000000002-202-2-2222-2-2-22-22020000-2-220000000000000000002-202-2-2222-2-2-22-22020000-2-220000000000000000002-202-2-2222-2-2-22-22020000-2-220000000000000000002-20
χ302-2-2222-2-2-22-22020000-2-22000000000000000000-2202-2-2222-2-2-22-22020000-2-22000000000000000000-2202-2-2222-2-2-22-22020000-2-22000000000000000000-2202-2-2222-2-2-22-22020000-2-22000000000000000000-2202-2-2222-2-2-22-22020000-2-22000000000000000000-2202-2-2222-2-2-22-22020000-2-22000000000000000000-220
χ314444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-2111111100000000000000000
χ324444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-100000000000000000
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χ44111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1−1+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+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1−1+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+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32
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χ48111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11−1+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−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11−1+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−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
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χ5122222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i30−1+i300001−i321−i321−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i30−1−i300001+i321+i321+i321+i3200022222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i30−1+i300001−i321−i321−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i30−1−i300001+i321+i321+i321+i32000
χ5222222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-200001111000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i301−i30000−1+i32−1+i32−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i301+i30000−1−i32−1−i32−1−i32−1−i3200022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-200001111000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i301−i30000−1+i32−1+i32−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i301+i30000−1−i32−1−i32−1−i32−1−i32000
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χ5422222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i30−1+i30000−1+i32−1+i321−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i30−1−i30000−1−i32−1−i321+i321+i3200022222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i30−1+i30000−1+i32−1+i321−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i30−1−i30000−1−i32−1−i321+i321+i32000
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χ90111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11−1−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+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11−1−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+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ91111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11−1−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+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11−1−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+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ92111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1−1−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+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−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−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1−1−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+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−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−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ9322222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i30−1−i300001+i321+i321+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i30−1+i300001−i321−i321−i321−i3200022222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i30−1−i300001+i321+i321+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i30−1+i300001−i321−i321−i321−i32000
χ9422222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-200001111000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i301+i30000−1−i32−1−i32−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i301−i30000−1+i32−1+i32−1+i32−1+i3200022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-200001111000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i301+i30000−1−i32−1−i32−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i301−i30000−1+i32−1+i32−1+i32−1+i32000
χ9522222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-111000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i301+i300001+i321+i32−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i301−i300001−i321−i32−1+i32−1+i3200022222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-111000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i301+i300001+i321+i32−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i301−i300001−i321−i32−1+i32−1+i32000
χ9622222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i30−1−i30000−1−i32−1−i321+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i30−1+i30000−1+i32−1+i321−i321−i3200022222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i30−1−i30000−1−i32−1−i321+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i30−1+i30000−1+i32−1+i321−i321−i32000
χ972222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-10000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i301+i321+i321+i321+i320000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i301−i321−i321−i321−i3200000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-10000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i301+i321+i321+i321+i320000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i301−i321−i321−i321−i320000000
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χ1711111111111111111111111111-1-111-11-1-1-1-11111-1-1-1−1+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+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-11111−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ1721111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−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+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+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−i321+i321+i321+i32
χ173111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1−1+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−i321−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+i321−i321−i32−1+i32−1+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+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+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-11111-1-1-1-111-1-111-1-111-1-111−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+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+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−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
χ174111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11−1+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−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-11111-1-1111-1-1-11111-1-111-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+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+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ175111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11−1+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−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1111111-1-1-1111-1-1-1-11111-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ176111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1−1+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−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-111111111-1-111-1-111-1-1-1-111−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ17722222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i30−1+i300001−i321−i321−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i30−1−i300001+i321+i321+i321+i32000-2-2-2-2-21-21-2-211-21-2-211111111100-2-20-2000011110001−i31−i31−i31−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32001−i31−i301−i30000−1+i32−1+i32−1+i32−1+i320001+i31+i31+i31+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32001+i31+i301+i30000−1−i32−1−i32−1−i32−1−i32000
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χ21922222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i30−1−i300001+i321+i321+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i30−1+i300001−i321−i321−i321−i32000-2-2-2-2-21-21-2-211-21-2-211111111100-2-20-2000011110001+i31+i31+i31+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32001+i31+i301+i30000−1−i32−1−i32−1−i32−1−i320001−i31−i31−i31−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32001−i31−i301−i30000−1+i32−1+i32−1+i32−1+i32000
χ22022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-200001111000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i301+i30000−1−i32−1−i32−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i301−i30000−1+i32−1+i32−1+i32−1+i32000-2-2-2-2-21-21-2-211-21-2-21111111110022020000-1-1-1-10001+i31+i31+i31+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i30−1−i300001+i321+i321+i321+i320001−i31−i31−i31−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i30−1+i300001−i321−i321−i321−i32000
χ22122222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-111000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i301+i300001+i321+i32−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i301−i300001−i321−i32−1+i32−1+i32000-2-2-2-2-21-21-2-2112122-1-1111-1-1-1-100-2-202000011-1-10001+i31+i31+i31+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i31+i30−1−i30000−1−i32−1−i321+i321+i320001−i31−i31−i31−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i31−i30−1+i30000−1+i32−1+i321−i321−i32000
χ22222222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i30−1−i30000−1−i32−1−i321+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i30−1+i30000−1+i32−1+i321−i321−i32000-2-2-2-2-21-21-2-2112122-1-1111-1-1-1-100220-20000-1-1110001+i31+i31+i31+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200−1−i3−1−i301+i300001+i321+i32−1−i32−1−i320001−i31−i31−i31−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200−1+i3−1+i301−i300001−i321−i32−1+i32−1+i32000
χ2232222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-10000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i301+i321+i321+i321+i320000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i301−i321−i321−i321−i320000000-2-2-2-21-21-211-2-2-2111-2-21111111-2-200-20111100000001+i31+i31+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3001+i30−1−i32−1−i32−1−i32−1−i3200000001−i31−i31−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3001−i30−1+i32−1+i32−1+i32−1+i320000000
χ2242222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1-2-200-2011110000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i3001+i30−1−i32−1−i32−1−i32−1−i320000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i3001−i30−1+i32−1+i32−1+i32−1+i320000000-2-2-2-21-21-211-2-2-2111-2-21111111220020-1-1-1-100000001+i31+i31+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i300−1−i301+i321+i321+i321+i3200000001−i31−i31−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i300−1+i301−i321−i321−i321−i320000000
χ2252222-12-12-1-122-2-111-2-2-1-1-111112200-20-1-1110000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i31+i32−1−i32−1−i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3001+i301+i321+i32−1−i32−1−i320000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i31−i32−1+i32−1+i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3001−i301−i321−i32−1+i32−1+i320000000-2-2-2-21-21-211-2-221-1-122111-1-1-1-1-2-2002011-1-100000001+i31+i31+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i3−1−i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i321+i321+i31+i300−1−i30−1−i32−1−i321+i321+i3200000001−i31−i31−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i3−1+i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i321−i321−i31−i300−1+i30−1+i32−1+i321−i321−i320000000
χ2262222-12-12-1-122-2-111-2-2-1-1-11111-2-2002011-1-10000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i31+i32−1−i32−1−i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i30−1−i32−1−i321+i321+i320000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i31−i32−1+i32−1+i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i30−1+i32−1+i321−i321−i320000000-2-2-2-21-21-211-2-221-1-122111-1-1-1-12200-20-1-11100000001+i31+i31+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i3−1−i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i3−1−i3001+i301+i321+i32−1−i32−1−i3200000001−i31−i31−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i3−1+i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i3−1+i3001−i301−i321−i32−1+i32−1+i320000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.