Finite Group Databasebeta

← Group #13158022

Character table — Group #13158022

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222222224444444444444466666666888888881212121212121212121212121212121224243636363611112222222222444444444444446666666688888888121212121212121212121212121212122424363636361111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order124423346612121212366688121212122424242422446612126122424242424242444688121212121224242424612244436121263312661212121236662424121212122424242466121266121261224242424242461212126242412121212122424242461261212123612126331266121212123666242412121212242424246612126612126122424242424246121212624241212121212242424246126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111
χ7111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1-1111111-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1-1111111-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1-1111111-1-111
χ8111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111111111-1-111-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111111111-1-111-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111111111-1-111-1-1
χ911-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i1-11-111-1-1-11i−iii−i−i1-1i−i-1i−i1ii−i−iii−i−i1-1-11i−i11-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i1-11-111-1-1-11i−iii−i−i1-1i−i-1i−i1ii−i−iii−i−i1-1-11i−i11-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i1-11-111-1-1-11i−iii−i−i1-1i−i-1i−i1ii−i−iii−i−i1-1-11i−i
χ1011-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i1-11-111-1-1-11i−iii−i−i-11−ii-1i−i1−i−iiiii−i−i-111-1−ii11-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i1-11-111-1-1-11i−iii−i−i-11−ii-1i−i1−i−iiiii−i−i-111-1−ii11-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i1-11-111-1-1-11i−iii−i−i-11−ii-1i−i1−i−iiiii−i−i-111-1−ii
χ1111-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i-11-11-1-111-11i−iii−i−i1-1i−i1−ii-1ii−i−i−i−iii1-11-1−ii11-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i-11-11-1-111-11i−iii−i−i1-1i−i1−ii-1ii−i−i−i−iii1-11-1−ii11-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i-11-11-1-111-11i−iii−i−i1-1i−i1−ii-1ii−i−i−i−iii1-11-1−ii
χ1211-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i-11-11-1-111-11i−iii−i−i-11−ii1−ii-1−i−iii−i−iii-11-11i−i11-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i-11-11-1-111-11i−iii−i−i-11−ii1−ii-1−i−iii−i−iii-11-11i−i11-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i-11-11-1-111-11i−iii−i−i-11−ii1−ii-1−i−iii−i−iii-11-11i−i
χ1311-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii1-11-111-1-1-11−ii−i−iii1-1−ii-1−ii1−i−iii−i−iii1-1-11−ii11-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii1-11-111-1-1-11−ii−i−iii1-1−ii-1−ii1−i−iii−i−iii1-1-11−ii11-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii1-11-111-1-1-11−ii−i−iii1-1−ii-1−ii1−i−iii−i−iii1-1-11−ii
χ1411-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii1-11-111-1-1-11−ii−i−iii-11i−i-1−ii1ii−i−i−i−iii-111-1i−i11-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii1-11-111-1-1-11−ii−i−iii-11i−i-1−ii1ii−i−i−i−iii-111-1i−i11-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii1-11-111-1-1-11−ii−i−iii-11i−i-1−ii1ii−i−i−i−iii-111-1i−i
χ1511-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii-11-11-1-111-11−ii−i−iii1-1−ii1i−i-1−i−iiiii−i−i1-11-1i−i11-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii-11-11-1-111-11−ii−i−iii1-1−ii1i−i-1−i−iiiii−i−i1-11-1i−i11-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii-11-11-1-111-11−ii−i−iii1-1−ii1i−i-1−i−iiiii−i−i1-11-1i−i
χ1611-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii-11-11-1-111-11−ii−i−iii-11i−i1i−i-1ii−i−iii−i−i-11-11−ii11-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii-11-11-1-111-11−ii−i−iii-11i−i1i−i-1ii−i−iii−i−i-11-11−ii11-1-1-111111-1-1-1-11-11-1−ii11-1-1−i−iii-11-11-1-111-11−ii−i−iii-11i−i1i−i-1ii−i−iii−i−i-11-11−ii
χ17222222-122-122-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000-122-10000-1-1-1-1000000222222-122-122-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000-122-10000-1-1-1-1000000222222-122-122-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000-122-10000-1-1-1-1000000
χ18222222-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-21111-1-122-1-1-1-100001-2-2100001111000000222222-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-21111-1-122-1-1-1-100001-2-2100001111000000222222-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-21111-1-122-1-1-1-100001-2-2100001111000000
χ19222222-122-122-1-1-1-1-12-2-22-1-1-111112222-1-1-1-1-1-1-2-211110000-1-2-2-100001111000000222222-122-122-1-1-1-1-12-2-22-1-1-111112222-1-1-1-1-1-1-2-211110000-1-2-2-100001111000000222222-122-122-1-1-1-1-12-2-22-1-1-111112222-1-1-1-1-1-1-2-211110000-1-2-2-100001111000000
χ20222222-122-122-1-1-1-1-12-2-22-1-1-11111-2-2-2-21111-1-1-2-21111000012210000-1-1-1-1000000222222-122-122-1-1-1-1-12-2-22-1-1-11111-2-2-2-21111-1-1-2-21111000012210000-1-1-1-1000000222222-122-122-1-1-1-1-12-2-22-1-1-11111-2-2-2-21111-1-1-2-21111000012210000-1-1-1-1000000
χ2122222-122-12-1-122-12-1-122-12-1-1222200000000-1-1-1-1-1-1-1-122220000-1-1-1-10000-1-1000022222-122-12-1-122-12-1-122-12-1-1222200000000-1-1-1-1-1-1-1-122220000-1-1-1-10000-1-1000022222-122-12-1-122-12-1-122-12-1-1222200000000-1-1-1-1-1-1-1-122220000-1-1-1-10000-1-10000
χ2222222-122-12-1-122-12-1-122-12-1-1222200000000-1-1-1-1-1-1-1-1-2-2-2-200001111000011000022222-122-12-1-122-12-1-122-12-1-1222200000000-1-1-1-1-1-1-1-1-2-2-2-200001111000011000022222-122-12-1-122-12-1-122-12-1-1222200000000-1-1-1-1-1-1-1-1-2-2-2-2000011110000110000
χ2322222-122-12-1-122-12-1-1-2-2-12-1-1-2-2-2-200000000-1-111111122-2-2000011110000-1-1000022222-122-12-1-122-12-1-1-2-2-12-1-1-2-2-2-200000000-1-111111122-2-2000011110000-1-1000022222-122-12-1-122-12-1-1-2-2-12-1-1-2-2-2-200000000-1-111111122-2-2000011110000-1-10000
χ2422222-122-12-1-122-12-1-1-2-2-12-1-1-2-2-2-200000000-1-1111111-2-2220000-1-1-1-1000011000022222-122-12-1-122-12-1-1-2-2-12-1-1-2-2-2-200000000-1-1111111-2-2220000-1-1-1-1000011000022222-122-12-1-122-12-1-1-2-2-12-1-1-2-2-2-200000000-1-1111111-2-2220000-1-1-1-10000110000
χ252222-222-22222222-22-200-2-22200002-2-222222-2-20000000000-200-2000000000000002222-222-22222222-22-200-2-22200002-2-222222-2-20000000000-200-2000000000000002222-222-22222222-22-200-2-22200002-2-222222-2-20000000000-200-200000000000000
χ262222-222-22222222-22-200-2-2220000-222-2-2-2-2-2-2-200000000002002000000000000002222-222-22222222-22-200-2-2220000-222-2-2-2-2-2-2-200000000002002000000000000002222-222-22222222-22-200-2-2220000-222-2-2-2-2-2-2-20000000000200200000000000000
χ272222-22-1-22-122-1-1-11-1-200-21-1-1−i3i3−i3i32-2-22-1-1-1-11100−i3i3−i3i3000010010000−i3i3−i3i30000002222-22-1-22-122-1-1-11-1-200-21-1-1−i3i3−i3i32-2-22-1-1-1-11100−i3i3−i3i3000010010000−i3i3−i3i30000002222-22-1-22-122-1-1-11-1-200-21-1-1−i3i3−i3i32-2-22-1-1-1-11100−i3i3−i3i3000010010000−i3i3−i3i3000000
χ282222-22-1-22-122-1-1-11-1-200-21-1-1−i3i3−i3i3-222-211111100−i3i3−i3i30000-100-10000i3−i3i3−i30000002222-22-1-22-122-1-1-11-1-200-21-1-1−i3i3−i3i3-222-211111100−i3i3−i3i30000-100-10000i3−i3i3−i30000002222-22-1-22-122-1-1-11-1-200-21-1-1−i3i3−i3i3-222-211111100−i3i3−i3i30000-100-10000i3−i3i3−i3000000
χ292222-22-1-22-122-1-1-11-1-200-21-1-1i3−i3i3−i32-2-22-1-1-1-11100i3−i3i3−i3000010010000i3−i3i3−i30000002222-22-1-22-122-1-1-11-1-200-21-1-1i3−i3i3−i32-2-22-1-1-1-11100i3−i3i3−i3000010010000i3−i3i3−i30000002222-22-1-22-122-1-1-11-1-200-21-1-1i3−i3i3−i32-2-22-1-1-1-11100i3−i3i3−i3000010010000i3−i3i3−i3000000
χ302222-22-1-22-122-1-1-11-1-200-21-1-1i3−i3i3−i3-222-211111100i3−i3i3−i30000-100-10000−i3i3−i3i30000002222-22-1-22-122-1-1-11-1-200-21-1-1i3−i3i3−i3-222-211111100i3−i3i3−i30000-100-10000−i3i3−i3i30000002222-22-1-22-122-1-1-11-1-200-21-1-1i3−i3i3−i3-222-211111100i3−i3i3−i30000-100-10000−i3i3−i3i3000000
χ3122-2-2222-222-2-2-2-2222200-2-2-2-2000022-2-222-2-22-20000000000200-20000000000000022-2-2222-222-2-2-2-2222200-2-2-2-2000022-2-222-2-22-20000000000200-20000000000000022-2-2222-222-2-2-2-2222200-2-2-2-2000022-2-222-2-22-20000000000200-200000000000000
χ3222-2-2222-222-2-2-2-2222200-2-2-2-20000-2-222-2-2222-20000000000-20020000000000000022-2-2222-222-2-2-2-2222200-2-2-2-20000-2-222-2-2222-20000000000-20020000000000000022-2-2222-222-2-2-2-2222200-2-2-2-20000-2-222-2-2222-20000000000-200200000000000000
χ3322-2-222-1-22-1-2-211-1-1-1200-21113−3−3322-2-2-1-111-11003−3−330000-100100003−3−3300000022-2-222-1-22-1-2-211-1-1-1200-21113−3−3322-2-2-1-111-11003−3−330000-100100003−3−3300000022-2-222-1-22-1-2-211-1-1-1200-21113−3−3322-2-2-1-111-11003−3−330000-100100003−3−33000000
χ3422-2-222-1-22-1-2-211-1-1-1200-21113−3−33-2-22211-1-1-11003−3−330000100-10000−333−300000022-2-222-1-22-1-2-211-1-1-1200-21113−3−33-2-22211-1-1-11003−3−330000100-10000−333−300000022-2-222-1-22-1-2-211-1-1-1200-21113−3−33-2-22211-1-1-11003−3−330000100-10000−333−3000000
χ3522-2-222-1-22-1-2-211-1-1-1200-2111−333−322-2-2-1-111-1100−333−30000-10010000−333−300000022-2-222-1-22-1-2-211-1-1-1200-2111−333−322-2-2-1-111-1100−333−30000-10010000−333−300000022-2-222-1-22-1-2-211-1-1-1200-2111−333−322-2-2-1-111-1100−333−30000-10010000−333−3000000
χ3622-2-222-1-22-1-2-211-1-1-1200-2111−333−3-2-22211-1-1-1100−333−30000100-100003−3−3300000022-2-222-1-22-1-2-211-1-1-1200-2111−333−3-2-22211-1-1-1100−333−30000100-100003−3−3300000022-2-222-1-22-1-2-211-1-1-1200-2111−333−3-2-22211-1-1-1100−333−30000100-100003−3−33000000
χ3722-2-2-22-122-1-2-211-11-1-22i−2i2-111−i−iii2-22-2-1-1111-12i−2i−i−iii000012i−2i-10000−i−iii00000022-2-2-22-122-1-2-211-11-1-22i−2i2-111−i−iii2-22-2-1-1111-12i−2i−i−iii000012i−2i-10000−i−iii00000022-2-2-22-122-1-2-211-11-1-22i−2i2-111−i−iii2-22-2-1-1111-12i−2i−i−iii000012i−2i-10000−i−iii000000
χ3822-2-2-22-122-1-2-211-11-1-22i−2i2-111−i−iii-22-2211-1-11-12i−2i−i−iii0000-1−2i2i10000ii−i−i00000022-2-2-22-122-1-2-211-11-1-22i−2i2-111−i−iii-22-2211-1-11-12i−2i−i−iii0000-1−2i2i10000ii−i−i00000022-2-2-22-122-1-2-211-11-1-22i−2i2-111−i−iii-22-2211-1-11-12i−2i−i−iii0000-1−2i2i10000ii−i−i000000
χ3922-2-2-22-122-1-2-211-11-1-2−2i2i2-111ii−i−i2-22-2-1-1111-1−2i2iii−i−i00001−2i2i-10000ii−i−i00000022-2-2-22-122-1-2-211-11-1-2−2i2i2-111ii−i−i2-22-2-1-1111-1−2i2iii−i−i00001−2i2i-10000ii−i−i00000022-2-2-22-122-1-2-211-11-1-2−2i2i2-111ii−i−i2-22-2-1-1111-1−2i2iii−i−i00001−2i2i-10000ii−i−i000000
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χ84222222-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-21111-1-122-1-1-1-100001-2-2100001111000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i320000−1+i321−i31−i3−1+i320000−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i320000−1−i321+i31+i3−1−i320000−1−i32−1−i32−1−i32−1−i32000000
χ85222222-122-122-1-1-1-1-12-2-22-1-1-111112222-1-1-1-1-1-1-2-211110000-1-2-2-100001111000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200001−i321−i31−i31−i320000−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200001+i321+i31+i31+i320000−1−i32−1−i32−1−i32−1−i32000000
χ86222222-122-122-1-1-1-1-12-2-22-1-1-11111-2-2-2-21111-1-1-2-21111000012210000-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i3−1+i3−1+i3200001−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i3−1−i3−1−i3200001+i321+i321+i321+i32000000
χ8722222-122-12-1-122-12-1-122-12-1-1222200000000-1-1-1-1-1-1-1-122220000-1-1-1-10000-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i3200001−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i3200001+i321+i320000
χ8822222-122-12-1-122-12-1-122-12-1-1222200000000-1-1-1-1-1-1-1-1-2-2-2-2000011110000110000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i30000−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i30000−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i320000
χ8922222-122-12-1-122-12-1-1-2-2-12-1-1-2-2-2-200000000-1-111111122-2-2000011110000-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i31−i31−i32−1+i31−i321−i321−i31−i31−i31−i3000000001−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i30000−1+i32−1+i32−1+i32−1+i3200001−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i31+i31+i32−1−i31+i321+i321+i31+i31+i31+i3000000001+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i30000−1−i32−1−i32−1−i32−1−i3200001+i321+i320000
χ9022222-122-12-1-122-12-1-1-2-2-12-1-1-2-2-2-200000000-1-1111111-2-2220000-1-1-1-10000110000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i31−i31−i32−1+i31−i321−i321−i31−i31−i31−i3000000001−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i300001−i321−i321−i321−i320000−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i31+i31+i32−1−i31+i321+i321+i31+i31+i31+i3000000001+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i300001+i321+i321+i321+i320000−1−i32−1−i320000
χ912222-222-22222222-22-200-2-22200002-2-222222-2-20000000000-200-200000000000000−1+i3−1+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−i3−1+i31−i3001−i31−i3−1+i3−1+i30000−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300000000001−i3001−i300000000000000−1−i3−1−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+i3−1−i31+i3001+i31+i3−1−i3−1−i30000−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300000000001+i3001+i300000000000000
χ922222-222-22222222-22-200-2-2220000-222-2-2-2-2-2-2-20000000000200200000000000000−1+i3−1+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−i3−1+i31−i3001−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i30000000000−1+i300−1+i300000000000000−1−i3−1−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+i3−1−i31+i3001+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i30000000000−1−i300−1−i300000000000000
χ932222-22-1-22-122-1-1-11-1-200-21-1-1−i3i3−i3i32-2-22-1-1-1-11100−i3i3−i3i3000010010000−i3i3−i3i3000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i321−i321−i3001−i3−1+i321−i321−i323+i32−3−i323+i32−3−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i32−1+i32003+i32−3−i323+i32−3−i320000−1+i3200−1+i3200003+i32−3−i323+i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i321+i321+i3001+i3−1−i321+i321+i32−3+i323−i32−3+i323−i32−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i32−1−i3200−3+i323−i32−3+i323−i320000−1−i3200−1−i320000−3+i323−i32−3+i323−i32000000
χ942222-22-1-22-122-1-1-11-1-200-21-1-1−i3i3−i3i3-222-211111100−i3i3−i3i30000-100-10000i3−i3i3−i3000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i321−i321−i3001−i3−1+i321−i321−i323+i32−3−i323+i32−3−i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i3200001−i32001−i320000−3−i323+i32−3−i323+i32000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i321+i321+i3001+i3−1−i321+i321+i32−3+i323−i32−3+i323−i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i3200001+i32001+i3200003−i32−3+i323−i32−3+i32000000
χ952222-22-1-22-122-1-1-11-1-200-21-1-1i3−i3i3−i32-2-22-1-1-1-11100i3−i3i3−i3000010010000i3−i3i3−i3000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i321−i321−i3001−i3−1+i321−i321−i32−3−i323+i32−3−i323+i32−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i32−1+i3200−3−i323+i32−3−i323+i320000−1+i3200−1+i320000−3−i323+i32−3−i323+i32000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i321+i321+i3001+i3−1−i321+i321+i323−i32−3+i323−i32−3+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i32−1−i32003−i32−3+i323−i32−3+i320000−1−i3200−1−i3200003−i32−3+i323−i32−3+i32000000
χ962222-22-1-22-122-1-1-11-1-200-21-1-1i3−i3i3−i3-222-211111100i3−i3i3−i30000-100-10000−i3i3−i3i3000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i321−i321−i3001−i3−1+i321−i321−i32−3−i323+i32−3−i323+i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i3200001−i32001−i3200003+i32−3−i323+i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i321+i321+i3001+i3−1−i321+i321+i323−i32−3+i323−i32−3+i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i3200001+i32001+i320000−3+i323−i32−3+i323−i32000000
χ9722-2-2222-222-2-2-2-2222200-2-2-2-2000022-2-222-2-22-20000000000200-200000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i30000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000000−1+i3001−i300000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i30000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000000−1−i3001+i300000000000000
χ9822-2-2222-222-2-2-2-2222200-2-2-2-20000-2-222-2-2222-20000000000-200200000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i300001−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i300000000001−i300−1+i300000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i300001+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i300000000001+i300−1−i300000000000000
χ9922-2-222-1-22-1-2-211-1-1-1200-21113−3−3322-2-2-1-111-11003−3−330000-100100003−3−33000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i3−1+i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i3001−i3−1+i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i32−1+i3200−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100001−i3200−1+i320000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i3−1−i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i3001+i3−1−i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i32−1−i32002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100001+i3200−1−i3200002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000
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χ14411-1-1-111111-1-1-1-11-11-1i−i11-1-1ii−i−i-11-11-1-111-11i−iii−i−i-11−ii1−ii-1−i−iii−i−iii-11-11i−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−1−i32−ζ11ζ111+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−1+i32−ζ7ζ71−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7
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χ149222222-122-122-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000-122-10000-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200001+i32−1−i3−1−i31+i3200001+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200001−i32−1+i3−1+i31−i3200001−i321−i321−i321−i32000000
χ150222222-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-21111-1-122-1-1-1-100001-2-2100001111000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i320000−1−i321+i31+i3−1−i320000−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i320000−1+i321−i31−i3−1+i320000−1+i32−1+i32−1+i32−1+i32000000
χ151222222-122-122-1-1-1-1-12-2-22-1-1-111112222-1-1-1-1-1-1-2-211110000-1-2-2-100001111000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200001+i321+i31+i31+i320000−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200001−i321−i31−i31−i320000−1+i32−1+i32−1+i32−1+i32000000
χ152222222-122-122-1-1-1-1-12-2-22-1-1-11111-2-2-2-21111-1-1-2-21111000012210000-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i3−1−i3−1−i3200001+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i3−1+i3−1+i3200001−i321−i321−i321−i32000000
χ15322222-122-12-1-122-12-1-122-12-1-1222200000000-1-1-1-1-1-1-1-122220000-1-1-1-10000-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i3200001+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i3200001−i321−i320000
χ15422222-122-12-1-122-12-1-122-12-1-1222200000000-1-1-1-1-1-1-1-1-2-2-2-2000011110000110000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i30000−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i30000−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i320000
χ15522222-122-12-1-122-12-1-1-2-2-12-1-1-2-2-2-200000000-1-111111122-2-2000011110000-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i31+i31+i32−1−i31+i321+i321+i31+i31+i31+i3000000001+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i30000−1−i32−1−i32−1−i32−1−i3200001+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i31−i31−i32−1+i31−i321−i321−i31−i31−i31−i3000000001−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i30000−1+i32−1+i32−1+i32−1+i3200001−i321−i320000
χ15622222-122-12-1-122-12-1-1-2-2-12-1-1-2-2-2-200000000-1-1111111-2-2220000-1-1-1-10000110000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i31+i31+i32−1−i31+i321+i321+i31+i31+i31+i3000000001+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i300001+i321+i321+i321+i320000−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i31−i31−i32−1+i31−i321−i321−i31−i31−i31−i3000000001−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i300001−i321−i321−i321−i320000−1+i32−1+i320000
χ1572222-222-22222222-22-200-2-22200002-2-222222-2-20000000000-200-200000000000000−1−i3−1−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+i3−1−i31+i3001+i31+i3−1−i3−1−i30000−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300000000001+i3001+i300000000000000−1+i3−1+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−i3−1+i31−i3001−i31−i3−1+i3−1+i30000−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300000000001−i3001−i300000000000000
χ1582222-222-22222222-22-200-2-2220000-222-2-2-2-2-2-2-20000000000200200000000000000−1−i3−1−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+i3−1−i31+i3001+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i30000000000−1−i300−1−i300000000000000−1+i3−1+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−i3−1+i31−i3001−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i30000000000−1+i300−1+i300000000000000
χ1592222-22-1-22-122-1-1-11-1-200-21-1-1−i3i3−i3i32-2-22-1-1-1-11100−i3i3−i3i3000010010000−i3i3−i3i3000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i321+i321+i3001+i3−1−i321+i321+i32−3+i323−i32−3+i323−i32−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i32−1−i3200−3+i323−i32−3+i323−i320000−1−i3200−1−i320000−3+i323−i32−3+i323−i32000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i321−i321−i3001−i3−1+i321−i321−i323+i32−3−i323+i32−3−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i32−1+i32003+i32−3−i323+i32−3−i320000−1+i3200−1+i3200003+i32−3−i323+i32−3−i32000000
χ1602222-22-1-22-122-1-1-11-1-200-21-1-1−i3i3−i3i3-222-211111100−i3i3−i3i30000-100-10000i3−i3i3−i3000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i321+i321+i3001+i3−1−i321+i321+i32−3+i323−i32−3+i323−i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i3200001+i32001+i3200003−i32−3+i323−i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i321−i321−i3001−i3−1+i321−i321−i323+i32−3−i323+i32−3−i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i3200001−i32001−i320000−3−i323+i32−3−i323+i32000000
χ1612222-22-1-22-122-1-1-11-1-200-21-1-1i3−i3i3−i32-2-22-1-1-1-11100i3−i3i3−i3000010010000i3−i3i3−i3000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i321+i321+i3001+i3−1−i321+i321+i323−i32−3+i323−i32−3+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i32−1−i32003−i32−3+i323−i32−3+i320000−1−i3200−1−i3200003−i32−3+i323−i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i321−i321−i3001−i3−1+i321−i321−i32−3−i323+i32−3−i323+i32−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i32−1+i3200−3−i323+i32−3−i323+i320000−1+i3200−1+i320000−3−i323+i32−3−i323+i32000000
χ1622222-22-1-22-122-1-1-11-1-200-21-1-1i3−i3i3−i3-222-211111100i3−i3i3−i30000-100-10000−i3i3−i3i3000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i321+i321+i3001+i3−1−i321+i321+i323−i32−3+i323−i32−3+i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i3200001+i32001+i320000−3+i323−i32−3+i323−i32000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i321−i321−i3001−i3−1+i321−i321−i32−3−i323+i32−3−i323+i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i3200001−i32001−i3200003+i32−3−i323+i32−3−i32000000
χ16322-2-2222-222-2-2-2-2222200-2-2-2-2000022-2-222-2-22-20000000000200-200000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i30000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000000−1−i3001+i300000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i30000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000000−1+i3001−i300000000000000
χ16422-2-2222-222-2-2-2-2222200-2-2-2-20000-2-222-2-2222-20000000000-200200000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i300001+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i300000000001+i300−1−i300000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i300001−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i300000000001−i300−1+i300000000000000
χ16522-2-222-1-22-1-2-211-1-1-1200-21113−3−3322-2-2-1-111-11003−3−330000-100100003−3−33000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i3−1−i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i3001+i3−1−i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i32−1−i32002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100001+i3200−1−i3200002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i3−1+i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i3001−i3−1+i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i32−1+i3200−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100001−i3200−1+i320000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ16622-2-222-1-22-1-2-211-1-1-1200-21113−3−33-2-22211-1-1-11003−3−330000100-10000−333−3000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i3−1−i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i3001+i3−1−i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ111+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i321+i32−1−i32002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000−1−i32001+i320000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i3−1+i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i3001−i3−1+i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ111−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i321−i32−1+i3200−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000−1+i32001−i320000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000
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χ1894-44i−4i04-20-424i−4i−2i2i-20200000−2i2i000000002i3−2i3−2323000000000000000000000000000000−2−2i32+2i34ζ11−4ζ110−2−2i31+i302+2i3−1−i34ζ11−4ζ11−2ζ112ζ111+i30−1−i300000−2ζ112ζ11000000003−i3−3+i3−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000000−2+2i32−2i34ζ7−4ζ70−2+2i31−i302−2i3−1+i34ζ7−4ζ7−2ζ72ζ71−i30−1+i300000−2ζ72ζ700000000−3−i33+i32ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000000
χ1904-44i−4i0-2402-4−2i2i4i−4i-20200000−2i2i0000000000000000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ110000000000−2−2i32+2i34ζ11−4ζ1101+i3−2−2i30−1−i32+2i3−2ζ112ζ114ζ11−4ζ111+i30−1−i300000−2ζ112ζ110000000000000000000000000000−ζ2+2ζ7−2ζ10+ζ11ζ2−2ζ7+2ζ10−ζ11−ζ2−2ζ7−2ζ10−ζ11ζ2+2ζ7+2ζ10+ζ110000000000−2+2i32−2i34ζ7−4ζ701−i3−2+2i30−1+i32−2i3−2ζ72ζ74ζ7−4ζ71−i30−1+i300000−2ζ72ζ700000000000000000000000000002ζ2−ζ7+ζ10−2ζ11−2ζ2+ζ7−ζ10+2ζ112ζ2+ζ7+ζ10+2ζ11−2ζ2−ζ7−ζ10−2ζ110000000000
χ1914-44i−4i0-2402-4−2i2i4i−4i-20200000−2i2i0000000000000000000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ110000000000−2−2i32+2i34ζ11−4ζ1101+i3−2−2i30−1−i32+2i3−2ζ112ζ114ζ11−4ζ111+i30−1−i300000−2ζ112ζ110000000000000000000000000000ζ2−2ζ7+2ζ10−ζ11−ζ2+2ζ7−2ζ10+ζ11ζ2+2ζ7+2ζ10+ζ11−ζ2−2ζ7−2ζ10−ζ110000000000−2+2i32−2i34ζ7−4ζ701−i3−2+2i30−1+i32−2i3−2ζ72ζ74ζ7−4ζ71−i30−1+i300000−2ζ72ζ70000000000000000000000000000−2ζ2+ζ7−ζ10+2ζ112ζ2−ζ7+ζ10−2ζ11−2ζ2−ζ7−ζ10−2ζ112ζ2+ζ7+ζ10+2ζ110000000000
χ1924-4−4i4i0440-4-4−4i4i−4i4i40-400000−4i4i000000000000000000000000000000000000000000−2−2i32+2i3−4ζ114ζ110−2−2i3−2−2i302+2i32+2i3−4ζ114ζ11−4ζ114ζ11−2−2i302+2i300000−4ζ114ζ11000000000000000000000000000000000000000000−2+2i32−2i3−4ζ74ζ70−2+2i3−2+2i302−2i32−2i3−4ζ74ζ7−4ζ74ζ7−2+2i302−2i300000−4ζ74ζ7000000000000000000000000000000000000000000
χ1934-4−4i4i04-20-42−4i4i2i−2i-202000002i−2i00000000−2i32i3−2323000000000000000000000000000000−2−2i32+2i3−4ζ114ζ110−2−2i31+i302+2i3−1−i3−4ζ114ζ112ζ11−2ζ111+i30−1−i3000002ζ11−2ζ1100000000−3+i33−i3−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000000−2+2i32−2i3−4ζ74ζ70−2+2i31−i302−2i3−1+i3−4ζ74ζ72ζ7−2ζ71−i30−1+i3000002ζ7−2ζ7000000003+i3−3−i32ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000000
χ1944-4−4i4i04-20-42−4i4i2i−2i-202000002i−2i000000002i3−2i323−23000000000000000000000000000000−2−2i32+2i3−4ζ114ζ110−2−2i31+i302+2i3−1−i3−4ζ114ζ112ζ11−2ζ111+i30−1−i3000002ζ11−2ζ11000000003−i3−3+i34ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000000000−2+2i32−2i3−4ζ74ζ70−2+2i31−i302−2i3−1+i3−4ζ74ζ72ζ7−2ζ71−i30−1+i3000002ζ7−2ζ700000000−3−i33+i3−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000000000
χ1954-4−4i4i0-2402-42i−2i−4i4i-202000002i−2i0000000000000000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ110000000000−2−2i32+2i3−4ζ114ζ1101+i3−2−2i30−1−i32+2i32ζ11−2ζ11−4ζ114ζ111+i30−1−i3000002ζ11−2ζ110000000000000000000000000000−ζ2−2ζ7−2ζ10−ζ11ζ2+2ζ7+2ζ10+ζ11−ζ2+2ζ7−2ζ10+ζ11ζ2−2ζ7+2ζ10−ζ110000000000−2+2i32−2i3−4ζ74ζ701−i3−2+2i30−1+i32−2i32ζ7−2ζ7−4ζ74ζ71−i30−1+i3000002ζ7−2ζ700000000000000000000000000002ζ2+ζ7+ζ10+2ζ11−2ζ2−ζ7−ζ10−2ζ112ζ2−ζ7+ζ10−2ζ11−2ζ2+ζ7−ζ10+2ζ110000000000
χ1964-4−4i4i0-2402-42i−2i−4i4i-202000002i−2i0000000000000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ110000000000−2−2i32+2i3−4ζ114ζ1101+i3−2−2i30−1−i32+2i32ζ11−2ζ11−4ζ114ζ111+i30−1−i3000002ζ11−2ζ110000000000000000000000000000ζ2+2ζ7+2ζ10+ζ11−ζ2−2ζ7−2ζ10−ζ11ζ2−2ζ7+2ζ10−ζ11−ζ2+2ζ7−2ζ10+ζ110000000000−2+2i32−2i3−4ζ74ζ701−i3−2+2i30−1+i32−2i32ζ7−2ζ7−4ζ74ζ71−i30−1+i3000002ζ7−2ζ70000000000000000000000000000−2ζ2−ζ7−ζ10−2ζ112ζ2+ζ7+ζ10+2ζ11−2ζ2+ζ7−ζ10+2ζ112ζ2−ζ7+ζ10−2ζ110000000000
χ1978-88i−8i0-4-4044−4i4i−4i4i20-2000002i−2i000000000000000000000000000000000000000000−4−4i34+4i38ζ11−8ζ1102+2i32+2i30−2−2i3−2−2i3−4ζ114ζ11−4ζ114ζ11−1−i301+i3000002ζ11−2ζ11000000000000000000000000000000000000000000−4+4i34−4i38ζ7−8ζ702−2i32−2i30−2+2i3−2+2i3−4ζ74ζ7−4ζ74ζ7−1+i301−i3000002ζ7−2ζ7000000000000000000000000000000000000000000
χ1988-8−8i8i0-4-40444i−4i4i−4i20-200000−2i2i000000000000000000000000000000000000000000−4−4i34+4i3−8ζ118ζ1102+2i32+2i30−2−2i3−2−2i34ζ11−4ζ114ζ11−4ζ11−1−i301+i300000−2ζ112ζ11000000000000000000000000000000000000000000−4+4i34−4i3−8ζ78ζ702−2i32−2i30−2+2i3−2+2i34ζ7−4ζ74ζ7−4ζ7−1+i301−i300000−2ζ72ζ7000000000000000000000000000000000000000000

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