Finite Group Databasebeta

← Group #14323221

Character table — Group #14323221

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222222222222222222222444444444444444444444444444444444444444488888888888888888888888888888888101010101010101010101010101010101212121212121212121212121212121212121212121212122020202020202020202020202020202024242424242424246060606060606060
order1222222234444556666666101010101010101010101010101044441212121212121212121212121515202020202020202030303030303030303030303030302020202020202020606060606060606060606060606060606060606060606060444444441212121212121212444444442020202020202020202020202020202022226666666612121212202020202020202044444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ1711-111-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1i−ii−ii−ii−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i
χ1811-111-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1−ii−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii
χ1911-111-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111i−ii−ii−ii−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111-1-111ii−i−iii−i−i−ii−ii−ii−ii
χ2011-111-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111−ii−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111-1-111−i−iii−i−iiii−ii−ii−ii−i
χ2111-111-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1i−ii−i−ii−iiiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-11111-1-1−i−iii−i−iiii−ii−i−ii−ii
χ2211-111-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1−ii−iii−ii−i−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-11111-1-1ii−i−iii−i−i−ii−iii−ii−i
χ2311-111-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111i−ii−i−ii−iiiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1-1-111−i−iii−i−iii−ii−iii−ii−i
χ2411-111-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111−ii−iii−ii−i−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1-1-111ii−i−iii−i−ii−ii−i−ii−ii
χ2511-111-1-1-11-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111i−i−iii−i−iiiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-11111-1-1ii−i−i−i−iii−iii−ii−i−ii
χ2611-111-1-1-11-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111−iii−i−iii−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-11111-1-1−i−iiiii−i−ii−i−ii−iii−i
χ2711-111-1-1-11-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1i−i−iii−i−iiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1-1-111ii−i−i−i−iiii−i−ii−iii−i
χ2811-111-1-1-11-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1−iii−i−iii−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1-1-111−i−iiiii−i−i−iii−ii−i−ii
χ2911-111-1-1-11-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111i−i−ii−iii−iiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-111-1-1−i−iiiii−i−i−iii−i−iii−i
χ3011-111-1-1-11-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111−iii−ii−i−ii−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-111-1-1ii−i−i−i−iiii−i−iii−i−ii
χ3111-111-1-1-11-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1i−i−ii−iii−iiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111-1-111−i−iiiii−i−ii−i−iii−i−ii
χ3211-111-1-1-11-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1−iii−ii−i−ii−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111-1-111ii−i−i−i−iii−iii−i−iii−i
χ332222222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222222222−1−52−1+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+52−1−52−1−52−1+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+52000000000000000022222222−1−52−1−52−1+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+520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ342222222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222222222−1−52−1+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+52−1−52−1−52−1+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+520000000000000000-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000001+521−521+521−521+521−521+521−5200000000
χ352222222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000002222-2-2-2-2−1−52−1−52−1+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+5200000000000000001+521−521+521−521+521−521+521−5200000000
χ362222222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000-2-2-2-222221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ372222222222222−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52000000000000000022222222−1+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+52−1−52−1−520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
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χ7022-222-2-2-2222-2-2−1−52−1+52-2-2-2-2222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−522-22-222-2-222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000−2i2i−2i2i−2i2i−2i2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000000
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χ7422-222-2-2-2222-2-2−1+52−1−52-2-2-2-2222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+522-22-222-2-222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000−2i2i−2i2i−2i2i−2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000000
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χ7822-222-2-2-22-2-222−1−52−1+52-2-2-2-2222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−522-2-22-2-22222-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000−2i2i2i−2i−2i2i2i−2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000
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χ14244-4-4-4-444-2-444-4−1−5−1+522-2-2-2221+51−5−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51−51+51−500002-2-22−232323−2323−23−23231+521−521+5−1−51−5−1+5−1−51+5−1+51−5−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−52−1−52−1+5200000000−1−521+52−1+521−521+52−1−521−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000000000000000000000000000000000000000000000000000
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χ1464-444-4-44-440000−1−5−1+54-44-4-44-4−1−5−1+5−1−51+5−1+51−51+51−51+51−5−1−5−1+51+51−50000000000000000−1−5−1+500000000−1−5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+51−51+51−500000000000000000000000000000000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000000000000000000000
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χ1594-4-44-44-444000044-44-44-44-444-44-44-4-4-4-4-4-4440000000000000000440000000044-44-44-44-44-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1604-4-44-44-4440000−1−5−1+5-44-44-44-4−1−5−1+51+5−1−51−5−1+51+51−51+51−51+51−5−1−5−1+50000000000000000−1−5−1+500000000−1−5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+51−51+51−500000000000000000000000000000000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000
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χ1738-888-8-88-8-40000−2−25−2+25-44-444-44−2−25−2+25−2−252+25−2+252−252+252−252+252−25−2−25−2+252+252−2500000000000000001+51−5000000001+51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-888-8-88-8-40000−2+25−2−25-44-444-44−2+25−2−25−2+252−25−2−252+252−252+252−252+25−2+25−2−252−252+2500000000000000001−51+5000000001−51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1758-88-88-8-88-40000−2−25−2+25-444-444-42+252−252+25−2−252−25−2+252+252−25−2−25−2+25−2−25−2+252+252−2500000000000000001+51−500000000−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1778-8-88-88-88-40000−2−25−2+254-44-44-44−2−25−2+252+25−2−252−25−2+252+252−252+252−252+252−25−2−25−2+2500000000000000001+51−5000000001+51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.