Finite Group Databasebeta

← Group #13107611

Character table — Group #13107611

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size145552810101028101010520252525145552810101028101010520252525145552810101028101010520252525145552810101028101010520252525145552810101028101010520252525145552810101028101010520252525145552810101028101010520252525145552810101028101010520252525
order15244551020205510202021024442044420202020202020202020420444210244101010202010101020202102444204442020202020202020202042044421024410101020201010102020210244420444202020202020202020204204442102441010102020101010202021024442044420202020202020202020420444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1
χ311-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i
χ411-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii
χ54-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-1000
χ6111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1
χ7111-1-1111-1-1111-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-111
χ811-1i−i11-1i−i11-1i−i-1-11−ii11-1i−i11-1i−i11-1i−i-1-11−ii11-1i−i11-1i−i11-1i−i-1-11−ii11-1i−i11-1i−i11-1i−i-1-11−ii11-1i−i11-1i−i11-1i−i-1-11−ii11-1i−i11-1i−i11-1i−i-1-11−ii11-1i−i11-1i−i11-1i−i-1-11−ii11-1i−i11-1i−i11-1i−i-1-11−ii
χ911-1−ii11-1−ii11-1−ii-1-11i−i11-1−ii11-1−ii11-1−ii-1-11i−i11-1−ii11-1−ii11-1−ii-1-11i−i11-1−ii11-1−ii11-1−ii-1-11i−i11-1−ii11-1−ii11-1−ii-1-11i−i11-1−ii11-1−ii11-1−ii-1-11i−i11-1−ii11-1−ii11-1−ii-1-11i−i11-1−ii11-1−ii11-1−ii-1-11i−i
χ104-10004-10004-1000-410004-10004-10004-1000-410004-10004-10004-1000-410004-10004-10004-1000-410004-10004-10004-1000-410004-10004-10004-1000-410004-10004-10004-1000-410004-10004-10004-1000-41000
χ1122222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5200000
χ12222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000
χ1322-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ70000022-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ70000022-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ70000022-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ70000022-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ70000022-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ70000022-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ70000022-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ700000
χ1422-2−2i2i−1+52−1+521−52ζ11+ζ19−ζ11−ζ19−1−52−1−521+52ζ3+ζ7−ζ3−ζ70000022-2−2i2i−1+52−1+521−52ζ11+ζ19−ζ11−ζ19−1−52−1−521+52ζ3+ζ7−ζ3−ζ70000022-2−2i2i−1+52−1+521−52ζ11+ζ19−ζ11−ζ19−1−52−1−521+52ζ3+ζ7−ζ3−ζ70000022-2−2i2i−1+52−1+521−52ζ11+ζ19−ζ11−ζ19−1−52−1−521+52ζ3+ζ7−ζ3−ζ70000022-2−2i2i−1+52−1+521−52ζ11+ζ19−ζ11−ζ19−1−52−1−521+52ζ3+ζ7−ζ3−ζ70000022-2−2i2i−1+52−1+521−52ζ11+ζ19−ζ11−ζ19−1−52−1−521+52ζ3+ζ7−ζ3−ζ70000022-2−2i2i−1+52−1+521−52ζ11+ζ19−ζ11−ζ19−1−52−1−521+52ζ3+ζ7−ζ3−ζ70000022-2−2i2i−1+52−1+521−52ζ11+ζ19−ζ11−ζ19−1−52−1−521+52ζ3+ζ7−ζ3−ζ700000
χ158-2000−2+251−52000−2−251+52000000008-2000−2+251−52000−2−251+52000000008-2000−2+251−52000−2−251+52000000008-2000−2+251−52000−2−251+52000000008-2000−2+251−52000−2−251+52000000008-2000−2+251−52000−2−251+52000000008-2000−2+251−52000−2−251+52000000008-2000−2+251−52000−2−251+5200000000
χ1622222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5200000
χ17222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000
χ1822-22i−2i−1−52−1−521+52−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−ζ11−ζ19ζ11+ζ190000022-22i−2i−1−52−1−521+52−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−ζ11−ζ19ζ11+ζ190000022-22i−2i−1−52−1−521+52−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−ζ11−ζ19ζ11+ζ190000022-22i−2i−1−52−1−521+52−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−ζ11−ζ19ζ11+ζ190000022-22i−2i−1−52−1−521+52−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−ζ11−ζ19ζ11+ζ190000022-22i−2i−1−52−1−521+52−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−ζ11−ζ19ζ11+ζ190000022-22i−2i−1−52−1−521+52−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−ζ11−ζ19ζ11+ζ190000022-22i−2i−1−52−1−521+52−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−ζ11−ζ19ζ11+ζ1900000
χ1922-2−2i2i−1−52−1−521+52ζ3+ζ7−ζ3−ζ7−1+52−1+521−52ζ11+ζ19−ζ11−ζ190000022-2−2i2i−1−52−1−521+52ζ3+ζ7−ζ3−ζ7−1+52−1+521−52ζ11+ζ19−ζ11−ζ190000022-2−2i2i−1−52−1−521+52ζ3+ζ7−ζ3−ζ7−1+52−1+521−52ζ11+ζ19−ζ11−ζ190000022-2−2i2i−1−52−1−521+52ζ3+ζ7−ζ3−ζ7−1+52−1+521−52ζ11+ζ19−ζ11−ζ190000022-2−2i2i−1−52−1−521+52ζ3+ζ7−ζ3−ζ7−1+52−1+521−52ζ11+ζ19−ζ11−ζ190000022-2−2i2i−1−52−1−521+52ζ3+ζ7−ζ3−ζ7−1+52−1+521−52ζ11+ζ19−ζ11−ζ190000022-2−2i2i−1−52−1−521+52ζ3+ζ7−ζ3−ζ7−1+52−1+521−52ζ11+ζ19−ζ11−ζ190000022-2−2i2i−1−52−1−521+52ζ3+ζ7−ζ3−ζ7−1+52−1+521−52ζ11+ζ19−ζ11−ζ1900000
χ208-2000−2−251+52000−2+251−52000000008-2000−2−251+52000−2+251−52000000008-2000−2−251+52000−2+251−52000000008-2000−2−251+52000−2+251−52000000008-2000−2−251+52000−2+251−52000000008-2000−2−251+52000−2+251−52000000008-2000−2−251+52000−2+251−52000000008-2000−2−251+52000−2+251−5200000000
χ2111111111111111111111iiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111111111111111iiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ22111-1-1111-1-1111-1-1111-1-1iii−i−iiii−i−iiii−i−iiii−i−i-1-1-111-1-1-111-1-1-111-1-1-111−i−i−iii−i−i−iii−i−i−iii−i−i−iii111-1-1111-1-1111-1-1111-1-1iii−i−iiii−i−iiii−i−iiii−i−i-1-1-111-1-1-111-1-1-111-1-1-111−i−i−iii−i−i−iii−i−i−iii−i−i−iii
χ2311-1i−i11-1i−i11-1i−i11-1i−iii−i-11ii−i-11ii−i-11ii−i-11-1-11−ii-1-11−ii-1-11−ii-1-11−ii−i−ii1-1−i−ii1-1−i−ii1-1−i−ii1-111-1i−i11-1i−i11-1i−i11-1i−iii−i-11ii−i-11ii−i-11ii−i-11-1-11−ii-1-11−ii-1-11−ii-1-11−ii−i−ii1-1−i−ii1-1−i−ii1-1−i−ii1-1
χ2411-1−ii11-1−ii11-1−ii11-1−iiii−i1-1ii−i1-1ii−i1-1ii−i1-1-1-11i−i-1-11i−i-1-11i−i-1-11i−i−i−ii-11−i−ii-11−i−ii-11−i−ii-1111-1−ii11-1−ii11-1−ii11-1−iiii−i1-1ii−i1-1ii−i1-1ii−i1-1-1-11i−i-1-11i−i-1-11i−i-1-11i−i−i−ii-11−i−ii-11−i−ii-11−i−ii-11
χ254-10004-10004-10004-10004i−i0004i−i0004i−i0004i−i000-41000-41000-41000-41000−4ii000−4ii000−4ii000−4ii0004-10004-10004-10004-10004i−i0004i−i0004i−i0004i−i000-41000-41000-41000-41000−4ii000−4ii000−4ii000−4ii000
χ26111111111111111-1-1-1-1-1iiiiiiiiiiiiiii−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiii111111111111111-1-1-1-1-1iiiiiiiiiiiiiii−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiii
χ27111-1-1111-1-1111-1-1-1-1-111iii−i−iiii−i−iiii−i−i−i−i−iii-1-1-111-1-1-111-1-1-111111-1-1−i−i−iii−i−i−iii−i−i−iiiiii−i−i111-1-1111-1-1111-1-1-1-1-111iii−i−iiii−i−iiii−i−i−i−i−iii-1-1-111-1-1-111-1-1-111111-1-1−i−i−iii−i−i−iii−i−i−iiiiii−i−i
χ2811-1i−i11-1i−i11-1i−i-1-11−iiii−i-11ii−i-11ii−i-11−i−ii1-1-1-11−ii-1-11−ii-1-11−ii11-1i−i−i−ii1-1−i−ii1-1−i−ii1-1ii−i-1111-1i−i11-1i−i11-1i−i-1-11−iiii−i-11ii−i-11ii−i-11−i−ii1-1-1-11−ii-1-11−ii-1-11−ii11-1i−i−i−ii1-1−i−ii1-1−i−ii1-1ii−i-11
χ2911-1−ii11-1−ii11-1−ii-1-11i−iii−i1-1ii−i1-1ii−i1-1−i−ii-11-1-11i−i-1-11i−i-1-11i−i11-1−ii−i−ii-11−i−ii-11−i−ii-11ii−i1-111-1−ii11-1−ii11-1−ii-1-11i−iii−i1-1ii−i1-1ii−i1-1−i−ii-11-1-11i−i-1-11i−i-1-11i−i11-1−ii−i−ii-11−i−ii-11−i−ii-11ii−i1-1
χ304-10004-10004-1000-410004i−i0004i−i0004i−i000−4ii000-41000-41000-410004-1000−4ii000−4ii000−4ii0004i−i0004-10004-10004-1000-410004i−i0004i−i0004i−i000−4ii000-41000-41000-410004-1000−4ii000−4ii000−4ii0004i−i000
χ3122222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52000002i2i2i2i2i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ700000-2-2-2-2-21−521−521−521−521−521+521+521+521+521+5200000−2i−2i−2i−2i−2iζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ70000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52000002i2i2i2i2i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ700000-2-2-2-2-21−521−521−521−521−521+521+521+521+521+5200000−2i−2i−2i−2i−2iζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ700000
χ32222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+52000002i2i2i−2i−2i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000-2-2-2221−521−521−52−1+52−1+521+521+521+52−1−52−1−5200000−2i−2i−2i2i2iζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+52000002i2i2i−2i−2i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000-2-2-2221−521−521−52−1+52−1+521+521+521+52−1−52−1−5200000−2i−2i−2i2i2iζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700000
χ3322-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ7000002i2i−2i-22−ζ11−ζ19−ζ11−ζ19ζ11+ζ191−52−1+52−ζ3−ζ7−ζ3−ζ7ζ3+ζ71+52−1−5200000-2-22−2i2i1−521−52−1+52ζ11+ζ19−ζ11−ζ191+521+52−1−52ζ3+ζ7−ζ3−ζ700000−2i−2i2i2-2ζ11+ζ19ζ11+ζ19−ζ11−ζ19−1+521−52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1−521+520000022-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ7000002i2i−2i-22−ζ11−ζ19−ζ11−ζ19ζ11+ζ191−52−1+52−ζ3−ζ7−ζ3−ζ7ζ3+ζ71+52−1−5200000-2-22−2i2i1−521−52−1+52ζ11+ζ19−ζ11−ζ191+521+52−1−52ζ3+ζ7−ζ3−ζ700000−2i−2i2i2-2ζ11+ζ19ζ11+ζ19−ζ11−ζ19−1+521−52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1−521+5200000
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χ37222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−52000002i2i2i−2i−2i−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+5200000−2i−2i−2i2i2iζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−52000002i2i2i−2i−2i−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+5200000−2i−2i−2i2i2iζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000
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χ47111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1
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χ4911-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i11-1−ii
χ504-10004-10004-1000-41000-41000-41000-410004-10004-10004-10004-1000-41000-41000-41000-410004-10004-10004-10004-1000-41000-41000-41000-410004-10004-10004-10004-1000-41000-41000-41000-410004-1000
χ5122222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5200000-2-2-2-2-21−521−521−521−521−521+521+521+521+521+520000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5200000-2-2-2-2-21−521−521−521−521−521+521+521+521+521+520000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5200000-2-2-2-2-21−521−521−521−521−521+521+521+521+521+520000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5200000-2-2-2-2-21−521−521−521−521−521+521+521+521+521+5200000
χ52222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000-2-2-2221−521−521−52−1+52−1+521+521+521+52−1−52−1−5200000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000-2-2-2221−521−521−52−1+52−1+521+521+521+52−1−52−1−5200000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000-2-2-2221−521−521−52−1+52−1+521+521+521+52−1−52−1−5200000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000-2-2-2221−521−521−52−1+52−1+521+521+521+52−1−52−1−5200000
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χ558-2000−2+251−52000−2−251+5200000000-820002−25−1+520002+25−1−52000000008-2000−2+251−52000−2−251+5200000000-820002−25−1+520002+25−1−52000000008-2000−2+251−52000−2−251+5200000000-820002−25−1+520002+25−1−52000000008-2000−2+251−52000−2−251+5200000000-820002−25−1+520002+25−1−5200000000
χ5622222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5200000-2-2-2-2-21+521+521+521+521+521−521−521−521−521−520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5200000-2-2-2-2-21+521+521+521+521+521−521−521−521−521−520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5200000-2-2-2-2-21+521+521+521+521+521−521−521−521−521−520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5200000-2-2-2-2-21+521+521+521+521+521−521−521−521−521−5200000
χ57222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+5200000
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χ9622222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5200000-2-2-2-2-21+521+521+521+521+521−521−521−521−521−5200000-2-2-2-2-21+521+521+521+521+521−521−521−521−521−5200000-2-2-2-2-21+521+521+521+521+521−521−521−521−521−5200000-2-2-2-2-21+521+521+521+521+521−521−521−521−521−5200000
χ97222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+5200000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+5200000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+5200000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+5200000
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χ14911-1−ii11-1−ii11-1−ii-1-11i−i−i−ii-11−i−ii-11−i−ii-11ii−i1-1-1-11i−i-1-11i−i-1-11i−i11-1−iiii−i1-1ii−i1-1ii−i1-1−i−ii-11-1-11i−i-1-11i−i-1-11i−i11-1−iiii−i1-1ii−i1-1ii−i1-1−i−ii-1111-1−ii11-1−ii11-1−ii-1-11i−i−i−ii-11−i−ii-11−i−ii-11ii−i1-1
χ1504-10004-10004-1000-41000−4ii000−4ii000−4ii0004i−i000-41000-41000-410004-10004i−i0004i−i0004i−i000−4ii000-41000-41000-410004-10004i−i0004i−i0004i−i000−4ii0004-10004-10004-1000-41000−4ii000−4ii000−4ii0004i−i000
χ15122222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5200000−2i−2i−2i−2i−2iζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ700000-2-2-2-2-21−521−521−521−521−521+521+521+521+521+52000002i2i2i2i2i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ700000-2-2-2-2-21−521−521−521−521−521+521+521+521+521+52000002i2i2i2i2i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ70000022222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5200000−2i−2i−2i−2i−2iζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ700000
χ152222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000−2i−2i−2i2i2iζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700000-2-2-2221−521−521−52−1+52−1+521+521+521+52−1−52−1−52000002i2i2i−2i−2i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000-2-2-2221−521−521−52−1+52−1+521+521+521+52−1−52−1−52000002i2i2i−2i−2i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000222-2-2−1+52−1+52−1+521−521−52−1−52−1−52−1−521+521+5200000−2i−2i−2i2i2iζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700000
χ15322-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ700000−2i−2i2i2-2ζ11+ζ19ζ11+ζ19−ζ11−ζ19−1+521−52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1−521+5200000-2-22−2i2i1−521−52−1+52ζ11+ζ19−ζ11−ζ191+521+52−1−52ζ3+ζ7−ζ3−ζ7000002i2i−2i-22−ζ11−ζ19−ζ11−ζ19ζ11+ζ191−52−1+52−ζ3−ζ7−ζ3−ζ7ζ3+ζ71+52−1−5200000-2-22−2i2i1−521−52−1+52ζ11+ζ19−ζ11−ζ191+521+52−1−52ζ3+ζ7−ζ3−ζ7000002i2i−2i-22−ζ11−ζ19−ζ11−ζ19ζ11+ζ191−52−1+52−ζ3−ζ7−ζ3−ζ7ζ3+ζ71+52−1−520000022-22i−2i−1+52−1+521−52−ζ11−ζ19ζ11+ζ19−1−52−1−521+52−ζ3−ζ7ζ3+ζ700000−2i−2i2i2-2ζ11+ζ19ζ11+ζ19−ζ11−ζ19−1+521−52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1−521+5200000
χ15422-2−2i2i−1+52−1+521−52ζ11+ζ19−ζ11−ζ19−1−52−1−521+52ζ3+ζ7−ζ3−ζ700000−2i−2i2i-22ζ11+ζ19ζ11+ζ19−ζ11−ζ191−52−1+52ζ3+ζ7ζ3+ζ7−ζ3−ζ71+52−1−5200000-2-222i−2i1−521−52−1+52−ζ11−ζ19ζ11+ζ191+521+52−1−52−ζ3−ζ7ζ3+ζ7000002i2i−2i2-2−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−1+521−52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1−521+5200000-2-222i−2i1−521−52−1+52−ζ11−ζ19ζ11+ζ191+521+52−1−52−ζ3−ζ7ζ3+ζ7000002i2i−2i2-2−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−1+521−52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1−521+520000022-2−2i2i−1+52−1+521−52ζ11+ζ19−ζ11−ζ19−1−52−1−521+52ζ3+ζ7−ζ3−ζ700000−2i−2i2i-22ζ11+ζ19ζ11+ζ19−ζ11−ζ191−52−1+52ζ3+ζ7ζ3+ζ7−ζ3−ζ71+52−1−5200000
χ1558-2000−2+251−52000−2−251+5200000000−8i2i0004ζ11+4ζ19−ζ11−ζ190004ζ3+4ζ7−ζ3−ζ700000000-820002−25−1+520002+25−1−52000000008i−2i000−4ζ11−4ζ19ζ11+ζ19000−4ζ3−4ζ7ζ3+ζ700000000-820002−25−1+520002+25−1−52000000008i−2i000−4ζ11−4ζ19ζ11+ζ19000−4ζ3−4ζ7ζ3+ζ7000000008-2000−2+251−52000−2−251+5200000000−8i2i0004ζ11+4ζ19−ζ11−ζ190004ζ3+4ζ7−ζ3−ζ700000000
χ15622222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5200000−2i−2i−2i−2i−2iζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ1900000-2-2-2-2-21+521+521+521+521+521−521−521−521−521−52000002i2i2i2i2i−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ1900000-2-2-2-2-21+521+521+521+521+521−521−521−521−521−52000002i2i2i2i2i−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ190000022222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5200000−2i−2i−2i−2i−2iζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ1900000
χ157222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000−2i−2i−2i2i2iζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+52000002i2i2i−2i−2i−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000-2-2-2221+521+521+52−1−52−1−521−521−521−52−1+52−1+52000002i2i2i−2i−2i−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000222-2-2−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−5200000−2i−2i−2i2i2iζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000
χ15822-22i−2i−1−52−1−521+52−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−ζ11−ζ19ζ11+ζ1900000−2i−2i2i2-2ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1−521+52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−1+521−5200000-2-22−2i2i1+521+52−1−52ζ3+ζ7−ζ3−ζ71−521−52−1+52ζ11+ζ19−ζ11−ζ19000002i2i−2i-22−ζ3−ζ7−ζ3−ζ7ζ3+ζ71+52−1−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ191−52−1+5200000-2-22−2i2i1+521+52−1−52ζ3+ζ7−ζ3−ζ71−521−52−1+52ζ11+ζ19−ζ11−ζ19000002i2i−2i-22−ζ3−ζ7−ζ3−ζ7ζ3+ζ71+52−1−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ191−52−1+520000022-22i−2i−1−52−1−521+52−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−ζ11−ζ19ζ11+ζ1900000−2i−2i2i2-2ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1−521+52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−1+521−5200000
χ15922-2−2i2i−1−52−1−521+52ζ3+ζ7−ζ3−ζ7−1+52−1+521−52ζ11+ζ19−ζ11−ζ1900000−2i−2i2i-22ζ3+ζ7ζ3+ζ7−ζ3−ζ71+52−1−52ζ11+ζ19ζ11+ζ19−ζ11−ζ191−52−1+5200000-2-222i−2i1+521+52−1−52−ζ3−ζ7ζ3+ζ71−521−52−1+52−ζ11−ζ19ζ11+ζ19000002i2i−2i2-2−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1−521+52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−1+521−5200000-2-222i−2i1+521+52−1−52−ζ3−ζ7ζ3+ζ71−521−52−1+52−ζ11−ζ19ζ11+ζ19000002i2i−2i2-2−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1−521+52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−1+521−520000022-2−2i2i−1−52−1−521+52ζ3+ζ7−ζ3−ζ7−1+52−1+521−52ζ11+ζ19−ζ11−ζ1900000−2i−2i2i-22ζ3+ζ7ζ3+ζ7−ζ3−ζ71+52−1−52ζ11+ζ19ζ11+ζ19−ζ11−ζ191−52−1+5200000
χ1608-2000−2−251+52000−2+251−5200000000−8i2i0004ζ3+4ζ7−ζ3−ζ70004ζ11+4ζ19−ζ11−ζ1900000000-820002+25−1−520002−25−1+52000000008i−2i000−4ζ3−4ζ7ζ3+ζ7000−4ζ11−4ζ19ζ11+ζ1900000000-820002+25−1−520002−25−1+52000000008i−2i000−4ζ3−4ζ7ζ3+ζ7000−4ζ11−4ζ19ζ11+ζ19000000008-2000−2−251+52000−2+251−5200000000−8i2i0004ζ3+4ζ7−ζ3−ζ70004ζ11+4ζ19−ζ11−ζ1900000000

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