Finite Group Databasebeta

← Group #13085851

Character table — Group #13085851

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11222222334444556666101015151122222233444455666610101515224444446688881010121212122020303022444444668888101012121212202030303366666699121212121515181818183030454533666666991212121215151818181830304545
order1235561010441515303044202020201212222261010610104430303030442020202012122236315156303012121515303012126060606012126666630306303012123030303012126060606012126644122020122020446060606044202020201212444412202012202044606060604420202020121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-1
χ311111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-1
χ411111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ51-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-1
χ61-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-11
χ71-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-11
χ81-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-1
χ9222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000
χ10222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000
χ11222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000
χ12222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000
χ1322-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-100
χ1422-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-200001100
χ152-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000
χ162-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000
χ172-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000
χ182-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000
χ192-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii00
χ202-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i00
χ2144-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+520000000000
χ2244-2−1−5−1+5-2−1−5−1+5001+521−521+521−52000000000044-2−1−5−1+5-2−1−5−1+5001+521−521+521−52000000000044-2−1−5−1+5-2−1−5−1+5001+521−521+521−52000000000044-2−1−5−1+5-2−1−5−1+5001+521−521+521−52000000000044-2−1−5−1+5-2−1−5−1+5001+521−521+521−52000000000044-2−1−5−1+5-2−1−5−1+5001+521−521+521−520000000000
χ234-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000
χ244-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000
χ25111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2611111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ2711111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ2811111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ291-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-1-11-1-1-1111−ii-1-111−ii−i−iii−ii-11-11-1-1-1111−ii-1-111−ii−i−iii−ii-11
χ301-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-11-11-1-1-1111−ii-1-111i−i−i−iiii−i1-1-11-1-1-1111−ii-1-111i−i−i−iiii−i1-1
χ311-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-11-11-1-1-1111i−i-1-111−iiii−i−i−ii1-1-11-1-1-1111i−i-1-111−iiii−i−i−ii1-1
χ321-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-1-11-1-1-1111i−i-1-111i−iii−i−ii−i-11-11-1-1-1111i−i-1-111i−iii−i−ii−i-11
χ33222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000-2-2-21−521+52-21−521+52-2-21−521+521−521+52001−521+521−521+520000-2-2-21−521+52-21−521+52-2-21−521+521−521+52001−521+521−521+520000
χ34222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000-2-2-21−521+52-21−521+52221−521+521−521+5200−1+52−1−52−1+52−1−520000-2-2-21−521+52-21−521+52221−521+521−521+5200−1+52−1−52−1+52−1−520000
χ35222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52-2-21+521−521+521−52001+521−521+521−520000-2-2-21+521−52-21+521−52-2-21+521−521+521−52001+521−521+521−520000
χ36222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000-2-2-21+521−52-21+521−52221+521−521+521−5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52221+521−521+521−5200−1−52−1+52−1−52−1+520000
χ3722-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-100-2-21-2-21-2-2001111-2-200001100-2-21-2-21-2-2001111-2-200001100
χ3822-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-200001100-2-21-2-21-2-2001111220000-1-100-2-21-2-21-2-2001111220000-1-100
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χ4544-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+520000000000-4-421−51+521−51+500−1+52−1−52−1+52−1−520000000000-4-421−51+521−51+500−1+52−1−52−1+52−1−520000000000
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χ474-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000
χ484-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000
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χ5111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111iiiiiiii−i−iiiiiii−i−i−i−iii−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−iiiii−i−iii
χ5211111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1iiiiiiii−i−iiiii−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−i−iii−i−i−i−iiiiiiiii−i−i
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χ57222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000-2-2-21−521+52-21−521+52-2-21−521+521−521+52001−521+521−521+520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000-2-2-21−521+52-21−521+52-2-21−521+521−521+52001−521+521−521+5200002i2i2i−ζ11−ζ19−ζ3−ζ72i−ζ11−ζ19−ζ3−ζ72i2i−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ700−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000−2i−2i−2iζ11+ζ19ζ3+ζ7−2iζ11+ζ19ζ3+ζ7−2i−2iζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ700ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000
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χ107444−1−5−1+54−1−5−1+544−1−5−1+5−1−5−1+500−1−5−1+5−1−5−1+50000444−1−5−1+54−1−5−1+544−1−5−1+5−1−5−1+500−1−5−1+5−1−5−1+50000-2-2-21+521−52-21+521−52-2-21+521−521+521−52001+521−521+521−520000-2-2-21+521−52-21+521−52-2-21+521−521+521−52001+521−521+521−520000000000000000000000000000000000000000000000000000
χ108444−1−5−1+54−1−5−1+5-4-4−1−5−1+5−1−5−1+5001+51−51+51−50000444−1−5−1+54−1−5−1+5-4-4−1−5−1+5−1−5−1+5001+51−51+51−50000-2-2-21+521−52-21+521−52221+521−521+521−5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52221+521−521+521−5200−1−52−1+52−1−52−1+520000000000000000000000000000000000000000000000000000
χ10944-244-24400-2-2-2-2440000-2-20044-244-24400-2-2-2-2440000-2-200-2-21-2-21-2-2001111-2-200001100-2-21-2-21-2-2001111-2-200001100000000000000000000000000000000000000000000000000
χ11044-244-24400-2-2-2-2-4-40000220044-244-24400-2-2-2-2-4-400002200-2-21-2-21-2-2001111220000-1-100-2-21-2-21-2-2001111220000-1-100000000000000000000000000000000000000000000000000
χ1114-44−1+5−1−5-41−51+54i−4i−1+5−1−51−51+500−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ700004-44−1+5−1−5-41−51+54i−4i−1+5−1−51−51+500−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ70000-22-21−521+522−1+52−1−52−2i2i1−521+52−1+52−1−5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000-22-21−521+522−1+52−1−52−2i2i1−521+52−1+52−1−5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000000000000000000000000000000000000000000000000000
χ1124-44−1+5−1−5-41−51+5−4i4i−1+5−1−51−51+5002ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ700004-44−1+5−1−5-41−51+5−4i4i−1+5−1−51−51+5002ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ70000-22-21−521+522−1+52−1−522i−2i1−521+52−1+52−1−5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000-22-21−521+522−1+52−1−522i−2i1−521+52−1+52−1−5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000000000000000000000000000000000000000000000000000
χ1134-44−1−5−1+5-41+51−54i−4i−1−5−1+51+51−500−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ1900004-44−1−5−1+5-41+51−54i−4i−1−5−1+51+51−500−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ190000-22-21+521−522−1−52−1+52−2i2i1+521−52−1−52−1+5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000-22-21+521−522−1−52−1+52−2i2i1+521−52−1−52−1+5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000000000000000000000000000000000000000000000000000
χ1144-44−1−5−1+5-41+51−5−4i4i−1−5−1+51+51−5002ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ1900004-44−1−5−1+5-41+51−5−4i4i−1−5−1+51+51−5002ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ190000-22-21+521−522−1−52−1+522i−2i1+521−52−1−52−1+5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000-22-21+521−522−1−52−1+522i−2i1+521−52−1−52−1+5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000000000000000000000000000000000000000000000000000
χ1154-4-2442-4-400-2-2224i−4i0000−2i2i004-4-2442-4-400-2-2224i−4i0000−2i2i00-221-2-2-1220011-1-1−2i2i0000i−i00-221-2-2-1220011-1-1−2i2i0000i−i00000000000000000000000000000000000000000000000000
χ1164-4-2442-4-400-2-222−4i4i00002i−2i004-4-2442-4-400-2-222−4i4i00002i−2i00-221-2-2-1220011-1-12i−2i0000−ii00-221-2-2-1220011-1-12i−2i0000−ii00000000000000000000000000000000000000000000000000
χ11788-4−2+25−2−25-4−2+25−2−25001−51+51−51+5000000000088-4−2+25−2−25-4−2+25−2−25001−51+51−51+50000000000-4-421−51+521−51+500−1+52−1−52−1+52−1−520000000000-4-421−51+521−51+500−1+52−1−52−1+52−1−520000000000000000000000000000000000000000000000000000000000
χ11888-4−2−25−2+25-4−2−25−2+25001+51−51+51−5000000000088-4−2−25−2+25-4−2−25−2+25001+51−51+51−50000000000-4-421+51−521+51−500−1−52−1+52−1−52−1+520000000000-4-421+51−521+51−500−1−52−1+52−1−52−1+520000000000000000000000000000000000000000000000000000000000
χ1198-8-4−2+25−2−2542−252+25001−51+5−1+5−1−500000000008-8-4−2+25−2−2542−252+25001−51+5−1+5−1−50000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000000000000000000000000000000000000000000000000000
χ1208-8-4−2−25−2+2542+252−25001+51−5−1−5−1+500000000008-8-4−2−25−2+2542+252−25001+51−5−1−5−1+50000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000000000000000000000000000000000000000000000000000
χ121222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000000000000000000000000000
χ12222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-11111-1-1-1-1000000000000000000000000000000000000000000000000
χ12322222222-2-2222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-222-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-1111111-1-1-1-111-1-1000000000000000000000000000000000000000000000000
χ12422222222-2-22222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-1-1-111000000000000000000000000000000000000000000000000
χ1252-2222-2-2-22i−2i22-2-22i−2i2i2i−2i−2i2i−2i2-2-22-2-2-2222−2i2i-2-222−2i2i−2i−2i2i2i−2i2i-22-11-1-1-1111−ii-1-111−ii−i−iii−ii-111-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-1000000000000000000000000000000000000000000000000
χ1262-2222-2-2-22i−2i22-2-2−2i2i2i2i−2i−2i−2i2i-22-22-2-2-2222−2i2i-2-2222i−2i−2i−2i2i2i2i−2i2-2-11-1-1-1111−ii-1-111i−i−i−iiii−i1-11-1111-1-1-1i−i11-1-1−iiii−i−i−ii-11000000000000000000000000000000000000000000000000
χ1272-2222-2-2-2−2i2i22-2-22i−2i−2i−2i2i2i2i−2i-22-22-2-2-22222i−2i-2-222−2i2i2i2i−2i−2i−2i2i2-2-11-1-1-1111i−i-1-111−iiii−i−i−ii1-11-1111-1-1-1−ii11-1-1i−i−i−iiii−i-11000000000000000000000000000000000000000000000000
χ1282-2222-2-2-2−2i2i22-2-2−2i2i−2i−2i2i2i−2i2i2-2-22-2-2-22222i−2i-2-2222i−2i2i2i−2i−2i2i−2i-22-11-1-1-1111i−i-1-111i−iii−i−ii−i-111-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-1000000000000000000000000000000000000000000000000
χ129444−1+5−1−54−1+5−1−544−1+5−1−5−1+5−1−500−1+5−1−5−1+5−1−50000-4-4-41−51+5-41−51+5-4-41−51+51−51+5001−51+51−51+50000-2-2-21−521+52-21−521+52-2-21−521+521−521+52001−521+521−521+520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000000000000000000000000000000000000000000000000000
χ130444−1+5−1−54−1+5−1−5-4-4−1+5−1−5−1+5−1−5001−51+51−51+50000-4-4-41−51+5-41−51+5441−51+51−51+500−1+5−1−5−1+5−1−50000-2-2-21−521+52-21−521+52221−521+521−521+5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000000000000000000000000000000000000000000000000000
χ131444−1−5−1+54−1−5−1+544−1−5−1+5−1−5−1+500−1−5−1+5−1−5−1+50000-4-4-41+51−5-41+51−5-4-41+51−51+51−5001+51−51+51−50000-2-2-21+521−52-21+521−52-2-21+521−521+521−52001+521−521+521−520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000000000000000000000000000000000000000000000000000
χ132444−1−5−1+54−1−5−1+5-4-4−1−5−1+5−1−5−1+5001+51−51+51−50000-4-4-41+51−5-41+51−5441+51−51+51−500−1−5−1+5−1−5−1+50000-2-2-21+521−52-21+521−52221+521−521+521−5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000000000000000000000000000000000000000000000000000
χ13344-244-24400-2-2-2-2440000-2-200-4-42-4-42-4-4002222-4-400002200-2-21-2-21-2-2001111-2-20000110022-122-12200-1-1-1-1220000-1-100000000000000000000000000000000000000000000000000
χ13444-244-24400-2-2-2-2-4-400002200-4-42-4-42-4-4002222440000-2-200-2-21-2-21-2-2001111220000-1-10022-122-12200-1-1-1-1-2-200001100000000000000000000000000000000000000000000000000
χ1354-44−1+5−1−5-41−51+54i−4i−1+5−1−51−51+500−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ70000-44-41−51+54−1+5−1−5−4i4i1−51+5−1+5−1−5002ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ70000-22-21−521+522−1+52−1−52−2i2i1−521+52−1+52−1−5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000000000000000000000000000000000000000000000000000
χ1364-44−1+5−1−5-41−51+5−4i4i−1+5−1−51−51+5002ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ70000-44-41−51+54−1+5−1−54i−4i1−51+5−1+5−1−500−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ70000-22-21−521+522−1+52−1−522i−2i1−521+52−1+52−1−5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000000000000000000000000000000000000000000000000000
χ1374-44−1−5−1+5-41+51−54i−4i−1−5−1+51+51−500−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ190000-44-41+51−54−1−5−1+5−4i4i1+51−5−1−5−1+5002ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ190000-22-21+521−522−1−52−1+52−2i2i1+521−52−1−52−1+5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000000000000000000000000000000000000000000000000000
χ1384-44−1−5−1+5-41+51−5−4i4i−1−5−1+51+51−5002ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ190000-44-41+51−54−1−5−1+54i−4i1+51−5−1−5−1+500−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ190000-22-21+521−522−1−52−1+522i−2i1+521−52−1−52−1+5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000000000000000000000000000000000000000000000000000
χ1394-4-2442-4-400-2-2224i−4i0000−2i2i00-442-4-4-2440022-2-2−4i4i00002i−2i00-221-2-2-1220011-1-1−2i2i0000i−i002-2-1221-2-200-1-1112i−2i0000−ii00000000000000000000000000000000000000000000000000
χ1404-4-2442-4-400-2-222−4i4i00002i−2i00-442-4-4-2440022-2-24i−4i0000−2i2i00-221-2-2-1220011-1-12i−2i0000−ii002-2-1221-2-200-1-111−2i2i0000i−i00000000000000000000000000000000000000000000000000
χ14188-4−2+25−2−25-4−2+25−2−25001−51+51−51+50000000000-8-842−252+2542−252+2500−1+5−1−5−1+5−1−50000000000-4-421−51+521−51+500−1+52−1−52−1+52−1−52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+520000000000000000000000000000000000000000000000000000000000
χ14288-4−2−25−2+25-4−2−25−2+25001+51−51+51−50000000000-8-842+252−2542+252−2500−1−5−1+5−1−5−1+50000000000-4-421+51−521+51−500−1−52−1+52−1−52−1+52000000000044-2−1−5−1+5-2−1−5−1+5001+521−521+521−520000000000000000000000000000000000000000000000000000000000
χ1438-8-4−2+25−2−2542−252+25001−51+5−1+5−1−50000000000-8842−252+25-4−2+25−2−2500−1+5−1−51−51+50000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000000000000000000000000000000000000000000000000000
χ1448-8-4−2−25−2+2542+252−25001+51−5−1−5−1+50000000000-8842+252−25-4−2−25−2+2500−1−5−1+51+51−50000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.