Finite Group Databasebeta

← Group #72276866

Character table — Group #72276866

Order 8064.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size11233333366666662424242424242424323232323369999991818181818181872727272727272729696969633699999918181818181818727272727272727296969696771421212121212142424242424242168168168168168168168168224224224224771421212121212142424242424242168168168168168168168168224224224224
order1222222222222222244444443666714141414141414141414141414141414282828282828282142424271414141414141414141414141414141428282828282828214242423666666666666666612121212121212366636666666666666666121212121212123666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ311-111111111-1-1-1-1-11-1111-1-1-111-1-111-111111111-1-1-1-1-11-1111-1-1-111-1-111-111111111-1-1-1-1-11-1111-1-1-111-1-111-111111111-1-1-1-1-11-1111-1-1-111-1-111-111111111-1-1-1-1-11-1111-1-1-111-1-1
χ411-111111111-1-1-1-1-1-11-1-1-111111-1-111-111111111-1-1-1-1-1-11-1-1-111111-1-111-111111111-1-1-1-1-1-11-1-1-111111-1-111-111111111-1-1-1-1-1-11-1-1-111111-1-111-111111111-1-1-1-1-1-11-1-1-111111-1-1
χ5222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1
χ622-222222222-2-2-2-2-200000000-1-11122-222222222-2-2-2-2-200000000-1-11122-222222222-2-2-2-2-200000000-1-11122-222222222-2-2-2-2-200000000-1-11122-222222222-2-2-2-2-200000000-1-111
χ72-20222-2-2-22-200000000000002-2002-20222-2-2-22-200000000000002-2002-20222-2-2-22-200000000000002-2002-20222-2-2-22-200000000000002-2002-20222-2-2-22-200000000000002-200
χ82-20222-2-2-22-20000000000000-11i3−i32-20222-2-2-22-20000000000000-11i3−i32-20222-2-2-22-20000000000000-11i3−i32-20222-2-2-22-20000000000000-11i3−i32-20222-2-2-22-20000000000000-11i3−i3
χ92-20222-2-2-22-20000000000000-11−i3i32-20222-2-2-22-20000000000000-11−i3i32-20222-2-2-22-20000000000000-11−i3i32-20222-2-2-22-20000000000000-11−i3i32-20222-2-2-22-20000000000000-11−i3i3
χ103333-1-13-1-1-1-13-1-1-1-1111-1-11-1-100003333-1-13-1-1-1-13-1-1-1-1111-1-11-1-100003333-1-13-1-1-1-13-1-1-1-1111-1-11-1-100003333-1-13-1-1-1-13-1-1-1-1111-1-11-1-100003333-1-13-1-1-1-13-1-1-1-1111-1-11-1-10000
χ113333-1-13-1-1-1-13-1-1-1-1-1-1-111-11100003333-1-13-1-1-1-13-1-1-1-1-1-1-111-11100003333-1-13-1-1-1-13-1-1-1-1-1-1-111-11100003333-1-13-1-1-1-13-1-1-1-1-1-1-111-11100003333-1-13-1-1-1-13-1-1-1-1-1-1-111-1110000
χ12333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000
χ13333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000
χ14333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000
χ15333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000
χ1633-33-1-13-1-1-1-1-311111-11-1-1-111000033-33-1-13-1-1-1-1-311111-11-1-1-111000033-33-1-13-1-1-1-1-311111-11-1-1-111000033-33-1-13-1-1-1-1-311111-11-1-1-111000033-33-1-13-1-1-1-1-311111-11-1-1-1110000
χ1733-33-1-13-1-1-1-1-31111-11-1111-1-1000033-33-1-13-1-1-1-1-31111-11-1111-1-1000033-33-1-13-1-1-1-1-31111-11-1111-1-1000033-33-1-13-1-1-1-1-31111-11-1111-1-1000033-33-1-13-1-1-1-1-31111-11-1111-1-10000
χ1833-3-13-1-13-1-1-11-31111-1-11-11-11000033-3-13-1-13-1-1-11-31111-1-11-11-11000033-3-13-1-13-1-1-11-31111-1-11-11-11000033-3-13-1-13-1-1-11-31111-1-11-11-11000033-3-13-1-13-1-1-11-31111-1-11-11-110000
χ1933-3-13-1-13-1-1-11-3111-111-11-11-1000033-3-13-1-13-1-1-11-3111-111-11-11-1000033-3-13-1-13-1-1-11-3111-111-11-11-1000033-3-13-1-13-1-1-11-3111-111-11-11-1000033-3-13-1-13-1-1-11-3111-111-11-11-10000
χ2033-3-1-13-1-13-1-111-3111-1-1-1111-1000033-3-1-13-1-13-1-111-3111-1-1-1111-1000033-3-1-13-1-13-1-111-3111-1-1-1111-1000033-3-1-13-1-13-1-111-3111-1-1-1111-1000033-3-1-13-1-13-1-111-3111-1-1-1111-10000
χ2133-3-1-13-1-13-1-111-311-1111-1-1-11000033-3-1-13-1-13-1-111-311-1111-1-1-11000033-3-1-13-1-13-1-111-311-1111-1-1-11000033-3-1-13-1-13-1-111-311-1111-1-1-11000033-3-1-13-1-13-1-111-311-1111-1-1-110000
χ22666-2-2-2-2-2-222-2-2-222000000000000666-2-2-2-2-2-222-2-2-222000000000000666-2-2-2-2-2-222-2-2-222000000000000666-2-2-2-2-2-222-2-2-222000000000000666-2-2-2-2-2-222-2-2-222000000000000
χ2366-6-2-2-2-2-2-222222-2-200000000000066-6-2-2-2-2-2-222222-2-200000000000066-6-2-2-2-2-2-222222-2-200000000000066-6-2-2-2-2-2-222222-2-200000000000066-6-2-2-2-2-2-222222-2-2000000000000
χ246-606-2-2-622-22000000000000000006-606-2-2-622-22000000000000000006-606-2-2-622-22000000000000000006-606-2-2-622-22000000000000000006-606-2-2-622-2200000000000000000
χ256-60-26-22-62-22000000000000000006-60-26-22-62-22000000000000000006-60-26-22-62-22000000000000000006-60-26-22-62-22000000000000000006-60-26-22-62-2200000000000000000
χ266-60-2-2622-6-22000000000000000006-60-2-2622-6-22000000000000000006-60-2-2622-6-22000000000000000006-60-2-2622-6-22000000000000000006-60-2-2622-6-2200000000000000000
χ276-60-2-2-22222-20004-40000000000006-60-2-2-22222-20004-40000000000006-60-2-2-22222-20004-40000000000006-60-2-2-22222-20004-40000000000006-60-2-2-22222-20004-4000000000000
χ286-60-2-2-22222-2000-440000000000006-60-2-2-22222-2000-440000000000006-60-2-2-22222-2000-440000000000006-60-2-2-22222-2000-440000000000006-60-2-2-22222-2000-44000000000000
χ29111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ301111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3111-111111111-1-1-1-1-11-1111-1-1-111-1-111-111111111-1-1-1-1-11-1111-1-1-111-1-111-111111111-1-1-1-1-11-1111-1-1-111-1-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−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−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ3211-111111111-1-1-1-1-1-11-1-1-111111-1-111-111111111-1-1-1-1-1-11-1-1-111111-1-111-111111111-1-1-1-1-1-11-1-1-111111-1-1−1+i32−1+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+i321−i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ33222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1−1+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+i3000000001−i321−i321−i321−i32−1−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−i3000000001+i321+i321+i321+i32
χ3422-222222222-2-2-2-2-200000000-1-11122-222222222-2-2-2-2-200000000-1-11122-222222222-2-2-2-2-200000000-1-111−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3000000001−i321−i32−1+i32−1+i32−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3000000001+i321+i32−1−i32−1−i32
χ352-20222-2-2-22-200000000000002-2002-20222-2-2-22-200000000000002-2002-20222-2-2-22-200000000000002-200−1+i31−i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i30000000000000−1+i31−i300−1−i31+i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i30000000000000−1−i31+i300
χ362-20222-2-2-22-20000000000000-11i3−i32-20222-2-2-22-20000000000000-11i3−i32-20222-2-2-22-20000000000000-11i3−i3−1+i31−i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i300000000000001−i32−1+i32−3−i323+i32−1−i31+i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i300000000000001+i32−1−i323−i32−3+i32
χ372-20222-2-2-22-20000000000000-11−i3i32-20222-2-2-22-20000000000000-11−i3i32-20222-2-2-22-20000000000000-11−i3i3−1+i31−i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i300000000000001−i32−1+i323+i32−3−i32−1−i31+i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i300000000000001+i32−1−i32−3+i323−i32
χ383333-1-13-1-1-1-13-1-1-1-1111-1-11-1-100003333-1-13-1-1-1-13-1-1-1-1111-1-11-1-100003333-1-13-1-1-1-13-1-1-1-1111-1-11-1-10000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i320000
χ393333-1-13-1-1-1-13-1-1-1-1-1-1-111-11100003333-1-13-1-1-1-13-1-1-1-1-1-1-111-11100003333-1-13-1-1-1-13-1-1-1-1-1-1-111-1110000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i320000
χ40333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000−3+3i32−3+3i32−3+3i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i320000−3−3i32−3−3i32−3−3i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i320000
χ41333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000−3+3i32−3+3i32−3+3i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i320000−3−3i32−3−3i32−3−3i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i320000
χ42333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i320000−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i320000
χ43333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i320000−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i320000
χ4433-33-1-13-1-1-1-1-311111-11-1-1-111000033-33-1-13-1-1-1-1-311111-11-1-1-111000033-33-1-13-1-1-1-1-311111-11-1-1-1110000−3+3i32−3+3i323−3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i320000−3−3i32−3−3i323+3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i320000
χ4533-33-1-13-1-1-1-1-31111-11-1111-1-1000033-33-1-13-1-1-1-1-31111-11-1111-1-1000033-33-1-13-1-1-1-1-31111-11-1111-1-10000−3+3i32−3+3i323−3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i323−3i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i320000−3−3i32−3−3i323+3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i323+3i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i320000
χ4633-3-13-1-13-1-1-11-31111-1-11-11-11000033-3-13-1-13-1-1-11-31111-1-11-11-11000033-3-13-1-13-1-1-11-31111-1-11-11-110000−3+3i32−3+3i323−3i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i323−3i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i320000−3−3i32−3−3i323+3i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i323+3i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i320000
χ4733-3-13-1-13-1-1-11-3111-111-11-11-1000033-3-13-1-13-1-1-11-3111-111-11-11-1000033-3-13-1-13-1-1-11-3111-111-11-11-10000−3+3i32−3+3i323−3i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i323−3i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i320000−3−3i32−3−3i323+3i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i323+3i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i320000
χ4833-3-1-13-1-13-1-111-3111-1-1-1111-1000033-3-1-13-1-13-1-111-3111-1-1-1111-1000033-3-1-13-1-13-1-111-3111-1-1-1111-10000−3+3i32−3+3i323−3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i320000−3−3i32−3−3i323+3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i320000
χ4933-3-1-13-1-13-1-111-311-1111-1-1-11000033-3-1-13-1-13-1-111-311-1111-1-1-11000033-3-1-13-1-13-1-111-311-1111-1-1-110000−3+3i32−3+3i323−3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i32−1+i32−1+i323−3i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i32−1−i32−1−i323+3i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i320000
χ50666-2-2-2-2-2-222-2-2-222000000000000666-2-2-2-2-2-222-2-2-222000000000000666-2-2-2-2-2-222-2-2-222000000000000−3+3i3−3+3i3−3+3i31−i31−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3000000000000−3−3i3−3−3i3−3−3i31+i31+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3000000000000
χ5166-6-2-2-2-2-2-222222-2-200000000000066-6-2-2-2-2-2-222222-2-200000000000066-6-2-2-2-2-2-222222-2-2000000000000−3+3i3−3+3i33−3i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000000000−3−3i3−3−3i33+3i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3000000000000
χ526-606-2-2-622-22000000000000000006-606-2-2-622-22000000000000000006-606-2-2-622-2200000000000000000−3+3i33−3i30−3+3i31−i31−i33−3i3−1+i3−1+i31−i3−1+i300000000000000000−3−3i33+3i30−3−3i31+i31+i33+3i3−1−i3−1−i31+i3−1−i300000000000000000
χ536-60-26-22-62-22000000000000000006-60-26-22-62-22000000000000000006-60-26-22-62-2200000000000000000−3+3i33−3i301−i3−3+3i31−i3−1+i33−3i3−1+i31−i3−1+i300000000000000000−3−3i33+3i301+i3−3−3i31+i3−1−i33+3i3−1−i31+i3−1−i300000000000000000
χ546-60-2-2622-6-22000000000000000006-60-2-2622-6-22000000000000000006-60-2-2622-6-2200000000000000000−3+3i33−3i301−i31−i3−3+3i3−1+i3−1+i33−3i31−i3−1+i300000000000000000−3−3i33+3i301+i31+i3−3−3i3−1−i3−1−i33+3i31+i3−1−i300000000000000000
χ556-60-2-2-22222-20004-40000000000006-60-2-2-22222-20004-40000000000006-60-2-2-22222-20004-4000000000000−3+3i33−3i301−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3000−2+2i32−2i3000000000000−3−3i33+3i301+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3000−2−2i32+2i3000000000000
χ566-60-2-2-22222-2000-440000000000006-60-2-2-22222-2000-440000000000006-60-2-2-22222-2000-44000000000000−3+3i33−3i301−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i30002−2i3−2+2i3000000000000−3−3i33+3i301+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i30002+2i3−2−2i3000000000000
χ57111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ581111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ5911-111111111-1-1-1-1-11-1111-1-1-111-1-111-111111111-1-1-1-1-11-1111-1-1-111-1-111-111111111-1-1-1-1-11-1111-1-1-111-1-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+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+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ6011-111111111-1-1-1-1-1-11-1-1-111111-1-111-111111111-1-1-1-1-1-11-1-1-111111-1-111-111111111-1-1-1-1-1-11-1-1-111111-1-1−1−i32−1−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−i321+i321+i321+i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ61222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1−1−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−i3000000001+i321+i321+i321+i32−1+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+i3000000001−i321−i321−i321−i32
χ6222-222222222-2-2-2-2-200000000-1-11122-222222222-2-2-2-2-200000000-1-11122-222222222-2-2-2-2-200000000-1-111−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3000000001+i321+i32−1−i32−1−i32−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3000000001−i321−i32−1+i32−1+i32
χ632-20222-2-2-22-200000000000002-2002-20222-2-2-22-200000000000002-2002-20222-2-2-22-200000000000002-200−1−i31+i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i30000000000000−1−i31+i300−1+i31−i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i30000000000000−1+i31−i300
χ642-20222-2-2-22-20000000000000-11i3−i32-20222-2-2-22-20000000000000-11i3−i32-20222-2-2-22-20000000000000-11i3−i3−1−i31+i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i300000000000001+i32−1−i323−i32−3+i32−1+i31−i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i300000000000001−i32−1+i32−3−i323+i32
χ652-20222-2-2-22-20000000000000-11−i3i32-20222-2-2-22-20000000000000-11−i3i32-20222-2-2-22-20000000000000-11−i3i3−1−i31+i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i300000000000001+i32−1−i32−3+i323−i32−1+i31−i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i300000000000001−i32−1+i323+i32−3−i32
χ663333-1-13-1-1-1-13-1-1-1-1111-1-11-1-100003333-1-13-1-1-1-13-1-1-1-1111-1-11-1-100003333-1-13-1-1-1-13-1-1-1-1111-1-11-1-10000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i320000
χ673333-1-13-1-1-1-13-1-1-1-1-1-1-111-11100003333-1-13-1-1-1-13-1-1-1-1-1-1-111-11100003333-1-13-1-1-1-13-1-1-1-1-1-1-111-1110000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i320000
χ68333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000333-13-1-13-1-1-1-13-1-1-111-11-1-11-10000−3−3i32−3−3i32−3−3i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i320000−3+3i32−3+3i32−3+3i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i320000
χ69333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000333-13-1-13-1-1-1-13-1-1-1-1-11-111-110000−3−3i32−3−3i32−3−3i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i320000−3+3i32−3+3i32−3+3i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i320000
χ70333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000333-1-13-1-13-1-1-1-13-1-111-1-11-1-110000−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i320000−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i320000
χ71333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000333-1-13-1-13-1-1-1-13-1-1-1-111-111-10000−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i320000−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i320000
χ7233-33-1-13-1-1-1-1-311111-11-1-1-111000033-33-1-13-1-1-1-1-311111-11-1-1-111000033-33-1-13-1-1-1-1-311111-11-1-1-1110000−3−3i32−3−3i323+3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i320000−3+3i32−3+3i323−3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i320000
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χ14018-180-6-6-66666-6000-1212000000000000−3+3i73−3i701−i71−i71−i7−1+i7−1+i7−1+i7−1+i71−i70002−2i7−2+2i7000000000000−3−3i73+3i701+i71+i71+i7−1−i7−1−i7−1−i7−1−i71+i70002+2i7−2−2i700000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 21 (ζ21 = 1); i = ζ5.