Finite Group Databasebeta

← Group #13101541

Character table — Group #13101541

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444101010101010101010101010101010102020202020202020202020202020202020202020202020202020202020202020252525252525252550505050
order12222222444455551010101010101010101010101010101010101010101010101010101055551010101010101010101010101010101010101010101010101010101020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202022224444444444441010101010101010202020202020202020202020202020202020202020202020444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ711111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ811111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ9111-1-1-1-11ii−i−i11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1ii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−i
χ10111-1-1-1-11ii−i−i11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1ii−i−i−i−iii-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−iii
χ11111-1-1-1-11ii−i−i11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111−i−iiiii−i−i11-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iii
χ12111-1-1-1-11ii−i−i11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111−i−iii−i−iii-1-111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i
χ13111-1-1-1-11−i−iii11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1−i−iiiii−i−i-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111ii−i−i
χ14111-1-1-1-11−i−iii11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii
χ15111-1-1-1-11−i−iii11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111ii−i−iii−i−i-1-111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iii
χ16111-1-1-1-11−i−iii11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111ii−i−i−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111ii−i−i
χ1711-111-1-1-11-11-1111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1i−ii−ii−ii−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−i
χ1811-111-1-1-11-11-1111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1−ii−ii−ii−ii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−ii−ii
χ1911-111-1-1-11-11-1111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11i−ii−ii−ii−i-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−ii−ii
χ2011-111-1-1-11-11-1111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11−ii−ii−ii−ii-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−ii−ii−i
χ2111-111-1-1-1-11-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-11-11i−ii−i−ii−ii11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiii−ii−i
χ2211-111-1-1-1-11-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-11-11−ii−iii−ii−i11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−ii−ii
χ2311-111-1-1-1-11-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111-11-1i−ii−i−ii−ii-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−ii−ii
χ2411-111-1-1-1-11-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111-11-1−ii−iii−ii−i-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiii−ii−i
χ2511-1-1-111-1i−i−ii111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-11i−i−ii1-1-11−iii−i11-1-1-1-111ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ2611-1-1-111-1i−i−ii111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-11i−i−ii-111-1i−i−ii11-1-1-1-111ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1
χ2711-1-1-111-1i−i−ii111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111-1−iii−i1-1-11−iii−i-1-11111-1-1−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-111-1
χ2811-1-1-111-1i−i−ii111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111-1−iii−i-111-1i−i−ii-1-11111-1-1−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ2911-1-1-111-1−iii−i111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-11−iii−i1-1-11i−i−ii11-1-1-1-111−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ3011-1-1-111-1−iii−i111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-11−iii−i-111-1−iii−i11-1-1-1-111−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1
χ3111-1-1-111-1−iii−i111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-111-1i−i−ii1-1-11i−i−ii-1-11111-1-1ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ3211-1-1-111-1−iii−i111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-111-1i−i−ii-111-1−iii−i-1-11111-1-1ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-11
χ3322222222222222−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000000000
χ3422222222222222−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000000000000000
χ3522222222222222−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000000000
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χ54222-2-2-2-222i2i−2i−2i−1+52−1−5222−1+52−1−52−1+52−1−521−521+521−521+52222222-2-2-2-21−521+52-2-2−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+521−521+521−521+52−ζ11−ζ19−ζ3−ζ72i2i−ζ11−ζ19−ζ3−ζ72i2iζ11+ζ19ζ3+ζ7−2i−2iζ11+ζ19ζ3+ζ7−2i−2i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ700000000−2i−2i2i2i-2-2220000000000000000ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ71−521+521−521+52−1+52−1−52−1+52−1−52000000000000
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χ56222-2-2-2-222i2i−2i−2i−1−52−1+5222−1−52−1+52−1−52−1+521+521−521+521−52222222-2-2-2-21+521−52-2-2−1−52−1+521+521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−521+521−521+521−52−ζ3−ζ7−ζ11−ζ192i2i−ζ3−ζ7−ζ11−ζ192i2iζ3+ζ7ζ11+ζ19−2i−2iζ3+ζ7ζ11+ζ19−2i−2i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ1900000000−2i−2i2i2i-2-2220000000000000000ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ191+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ57222-2-2-2-22−2i−2i2i2i22−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2-21−521+5222-2-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−2i−2iζ11+ζ19ζ3+ζ7−2i−2iζ11+ζ19ζ3+ζ72i2i−ζ11−ζ19−ζ3−ζ72i2i−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ722-2-2−2i−2i2i2i00000000−1+52−1−52−1+52−1−521−521+521−521+52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000000000000000000000
χ58222-2-2-2-22−2i−2i2i2i22−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2-21−521+5222-2-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−2i−2iζ11+ζ19ζ3+ζ7−2i−2iζ11+ζ19ζ3+ζ72i2i−ζ11−ζ19−ζ3−ζ72i2i−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7-2-2222i2i−2i−2i000000001−521+521−521+52−1+52−1−52−1+52−1−52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000000000000000000000000
χ59222-2-2-2-22−2i−2i2i2i22−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-2-21+521−5222-2-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−52−2i−2iζ3+ζ7ζ11+ζ19−2i−2iζ3+ζ7ζ11+ζ192i2i−ζ3−ζ7−ζ11−ζ192i2i−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ1922-2-2−2i−2i2i2i00000000−1−52−1+52−1−52−1+521+521−521+521−52ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000000000000000000000000
χ60222-2-2-2-22−2i−2i2i2i22−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-2-21+521−5222-2-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−52−2i−2iζ3+ζ7ζ11+ζ19−2i−2iζ3+ζ7ζ11+ζ192i2i−ζ3−ζ7−ζ11−ζ192i2i−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19-2-2222i2i−2i−2i000000001+521−521+521−52−1−52−1+52−1−52−1+52−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190000000000000000000000000000
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χ1704-4-44-4-4440000−1−5−1+5−1+5−1−51+51−51+51−51+51−5−1−5−1+51−51+51−5−1+51+5−1−51−5−1+51+5−1−5−1−5−1+5−1+5−1−5−1−5−1+51+51−51−51+5-13−523+52-11−3+52−3−5211-1−3+523−52−3−523+521-11−3+52−3−5211-1−3+523−52−3−523+521-1-13−523+52-10000000000000000−555+52−5−52−5+525−525−55−5−5−525+525−52−5+52−55−555+52−5−52−5+525−525−55−5−5−525+525−52−5+52−55000000000000000000000000000000000000000000000000000000000000
χ1714-4-44-4-4440000−1−5−1+5−1−5−1+51+51−51+51−51+51−5−1−5−1+51+51−51+5−1−51−5−1+51+5−1−51−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−53+52-1-13−52−3−5211−3+52−3−523+521-11-1−3+523−52−3−5211−3+52−3−523+521-11-1−3+523−523+52-1-13−5200000000000000005−52−5+52−55−555+52−5−52−5+525−525−55−5−5−525+525−52−5+52−55−555+52−5−52−5+525−525−55−5−5−525+52000000000000000000000000000000000000000000000000000000000000
χ1724-4-44-4-4440000−1−5−1+5−1−5−1+51+51−51+51−51+51−5−1−5−1+51+51−51+5−1−51−5−1+51+5−1−51−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−53+52-1-13−52−3−5211−3+52−3−523+521-11-1−3+523−52−3−5211−3+52−3−523+521-11-1−3+523−523+52-1-13−520000000000000000−5+525−525−55−5−5−525+525−52−5+52−55−555+52−5−52−5+525−525−55−5−5−525+525−52−5+52−55−555+52−5−52000000000000000000000000000000000000000000000000000000000000
χ1734-4-4-444-44000044−1+5−1−5-4-4-4-444-4-41−51+51−5−1+51+5−1−5−1+51−5−1−51+5-4-41−51+54444−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1+5−1−5−1−5−1+51−5−1+51−5−1−51+5−1−51+51−51−51+51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1744-4-4-444-44000044−1−5−1+5-4-4-4-444-4-41+51−51+5−1−51−5−1+5−1−51+5−1+51−5-4-41+51−54444−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1−5−1+5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+51+51−51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1754-4-4-444-440000−1+5−1−5441−51+51−51+5−1+5−1−51−51+5-4-4-44-444-44-41−51+5-4-4−1+5−1−5−1+5−1−544−1+5−1−5−1+5−1−51−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−5−1+5−1−5−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+51−51+51−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1764-4-4-444-440000−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+51−51+51−5−1+51+5−1−5−1+51−5−1−51+51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−53−52-1-13+52−3+5211−3−52−3+523−521-11-1−3−523+523−52-1-13+523−52−3+52-11-113+52−3−52−3+5211−3−5200000000000000003ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19i5−i5i5−i52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−i5i5−i5i5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−i5i5−i5i5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19i5−i5i5−i52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19000000000000000000000000000000000000000000000000000000000000
χ1774-4-4-444-440000−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+51−51+51−5−1+51+5−1−5−1+51−5−1−51+51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−53−52-1-13+52−3+5211−3−52−3+523−521-11-1−3−523+523−52-1-13+523−52−3+52-11-113+52−3−52−3+5211−3−520000000000000000−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−i5i5−i5i5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19i5−i5i5−i52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19i5−i5i5−i52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−i5i5−i5i5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19000000000000000000000000000000000000000000000000000000000000
χ1784-4-4-444-440000−1+5−1−5−1−5−1+51−51+51−51+5−1+5−1−51−51+51+51−51+5−1−51−5−1+5−1−51+5−1+51−51−51+51+51−5−1+5−1−5−1+5−1−5−1−5−1+5-13+523−52-11−3−52−3+5211-1−3−523+52−3+523−521-1-13+523−52-1-113+52−3−523−52−3+52-111−3−52−3+5210000000000000000i5−i52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−i5i5−i5i5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19i5−i5−i5i5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19i5−i5i5−i52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−i5i5000000000000000000000000000000000000000000000000000000000000
χ1794-4-4-444-440000−1+5−1−5−1−5−1+51−51+51−51+5−1+5−1−51−51+51+51−51+5−1−51−5−1+5−1−51+5−1+51−51−51+51+51−5−1+5−1−5−1+5−1−5−1−5−1+5-13+523−52-11−3−52−3+5211-1−3−523+52−3+523−521-1-13+523−52-1-113+52−3−523−52−3+52-111−3−52−3+5210000000000000000−i5i5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19i5−i5i5−i52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−i5i5i5−i52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−i5i5−i5i5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19i5−i5000000000000000000000000000000000000000000000000000000000000
χ1804-4-4-444-440000−1−5−1+5441+51−51+51−5−1−5−1+51+51−5-4-4-44-444-44-41+51−5-4-4−1−5−1+5−1−5−1+544−1−5−1+5−1−5−1+51+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+5−1−5−1+5−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+51−51+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1814-4-4-444-440000−1−5−1+5−1+5−1−51+51−51+51−5−1−5−1+51+51−51−51+51−5−1+51+5−1−5−1+51−5−1−51+51+51−51−51+5−1−5−1+5−1−5−1+5−1+5−1−5-13−523+52-11−3+52−3−5211-1−3+523−52−3−523+521-1-13−523+52-1-113−52−3+523+52−3−52-111−3+52−3−5210000000000000000i5−i5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−i5i5−i5i53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19i5−i5−i5i53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19i5−i5i5−i5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−i5i5000000000000000000000000000000000000000000000000000000000000
χ1824-4-4-444-440000−1−5−1+5−1+5−1−51+51−51+51−5−1−5−1+51+51−51−51+51−5−1+51+5−1−5−1+51−5−1−51+51+51−51−51+5−1−5−1+5−1−5−1+5−1+5−1−5-13−523+52-11−3+52−3−5211-1−3+523−52−3−523+521-1-13−523+52-1-113−52−3+523+52−3−52-111−3+52−3−5210000000000000000−i5i53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19i5−i5i5−i5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−i5i5i5−i5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−i5i5−i5i53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19i5−i5000000000000000000000000000000000000000000000000000000000000
χ1834-4-4-444-440000−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−51+51−51+5−1−51−5−1+5−1−51+5−1+51−51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+53+52-1-13−52−3−5211−3+52−3−523+521-11-1−3+523−523+52-1-13−523+52−3−52-11-113−52−3+52−3−5211−3+520000000000000000−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19i5−i5i5−i5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−i5i5−i5i53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−i5i5−i5i53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19i5−i5i5−i5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000
χ1844-4-4-444-440000−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−51+51−51+5−1−51−5−1+5−1−51+5−1+51−51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+53+52-1-13−52−3−5211−3+52−3−523+521-11-1−3+523−523+52-1-13−523+52−3−52-11-113−52−3+52−3−5211−3+5200000000000000002ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−i5i5−i5i53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19i5−i5i5−i5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19i5−i5i5−i5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−i5i5−i5i53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000

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