Finite Group Databasebeta

← Group #14294510

Character table — Group #14294510

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222222222222222222222444444444444444444444444444444444444444488888888888888888888888888888888101010101010101010101010101010101212121212121212121212121212121212121212121212122020202020202020202020202020202024242424242424246060606060606060
order122244442234455666101010101010121212122020202020202020668888101010101212151520202020242424242424242430303030303060606060606060603030303040404040404040406060606012012012012012012012012012012012012012012012012022224444666612121212444444442020202020202020202020202020202066888812122424242424242424202020202020202044444444
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
χ511111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ91111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-111111111iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i
χ101111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-111111111iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-1-1-111−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1ii−i−i11iiii−i−i−i−i-1-1-1-11111-1-111−i−iii
χ111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-111111111iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-1111111-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11−i−iii-1-1−i−i−i−iiiii1111-1-1-1-1-1-111−i−iii
χ121111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-111111111iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-11111-1-111−i−iii−i−i−i−i−i−i−i−iiiiiiiii11−i−iii-1-1−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i
χ131111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-111111111−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-111-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii
χ141111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-111111111−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-1-1-111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1−i−iii11−i−i−i−iiiii-1-1-1-11111-1-111ii−i−i
χ151111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-111111111−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-1-1-1111111-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11ii−i−i-1-1iiii−i−i−i−i1111-1-1-1-1-1-111ii−i−i
χ161111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-111111111−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-1-1-11111-1-111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11ii−i−i-1-1iiii−i−i−i−i-1-1-1-1111111-1-1−i−iii
χ1711-1-111-1-1-1111-111-1-1111-1-1-1-111-1-11111-1-1-1-11-1i−ii−i-1-1111-11111-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-111-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-11-11-111-1-111-1-1i−ii−i1-11-11111-1-1-1-11111-1-1-1-11-1i−ii−i1-1ii−i−iii−i−iii−i−iii−i−ii−ii−i1-11-1
χ1811-1-111-1-1-1111-111-1-1111-1-1-1-111-1-11111-1-1-1-11-1i−ii−i-1-1111-11111-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-111-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-11-11-111-1-111-1-1−ii−ii-11-11-1-1-1-11111-1-1-1-111111-1i−ii−i1-1ii−i−iii−i−i−i−iii−i−iii−ii−ii-11-11
χ1911-1-111-1-1-1111-111-1-1111-1-1-1-111-1-11111-1-1-1-11-1i−ii−i-1-1111-11111-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-111-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-11-11-1-111-1-111i−ii−i1-11-11111-1-1-1-11111-1-1-1-1-11−ii−ii-11−i−iii−i−iiiii−i−iii−i−i−ii−ii-11-11
χ2011-1-111-1-1-1111-111-1-1111-1-1-1-111-1-11111-1-1-1-11-1i−ii−i-1-1111-11111-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-111-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-11-11-1-111-1-111−ii−ii-11-11-1-1-1-11111-1-1-1-11111-11−ii−ii-11−i−iii−i−iii−i−iii−i−iiii−ii−i1-11-1
χ2111-1-111-1-1-1111-111-1-1111-1-1-1-111-1-11111-1-1-1-11-1−ii−ii-1-1111-11111-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-111-1-111-1-1i−ii−i-11-11-1-1-1-11111-1-1-1-111111-1−ii−ii1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i-11-11
χ2211-1-111-1-1-1111-111-1-1111-1-1-1-111-1-11111-1-1-1-11-1−ii−ii-1-1111-11111-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-111-1-111-1-1−ii−ii1-11-11111-1-1-1-11111-1-1-1-11-1−ii−ii1-1−i−iii−i−iii−i−iii−i−iii−ii−ii1-11-1
χ2311-1-111-1-1-1111-111-1-1111-1-1-1-111-1-11111-1-1-1-11-1−ii−ii-1-1111-11111-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11-1-111-1-111i−ii−i-11-11-1-1-1-11111-1-1-1-11111-11i−ii−i-11ii−i−iii−i−iii−i−iii−i−i−ii−ii1-11-1
χ2411-1-111-1-1-1111-111-1-1111-1-1-1-111-1-11111-1-1-1-11-1−ii−ii-1-1111-11111-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11-1-111-1-111−ii−ii1-11-11111-1-1-1-11111-1-1-1-1-11i−ii−i-11ii−i−iii−i−i−i−iii−i−iiii−ii−i-11-11
χ2511-1-1-1-1111-111-111-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-11-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-111i−i−ii−iii−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-111-111-1-1-1-111ii−i−i−i−iiii−i−ii−iii−i
χ2611-1-1-1-1111-111-111-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-11-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-111−iii−ii−i−iiiiii−i−i−i−i−i−i−i−iiiii-111-1-111-111-1-1-1-111−i−iiiii−i−i−iii−ii−i−ii
χ2711-1-1-1-1111-111-111-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-11-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1i−i−ii−iii−i−i−i−i−iiiiiiiii−i−i−i−i1-1-111-1-11-1-11111-1-1ii−i−i−i−iii−iii−ii−i−ii
χ2811-1-1-1-1111-111-111-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-11-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1−iii−ii−i−iiiiii−i−i−i−i−i−i−i−iiiii1-1-111-1-11-1-11111-1-1−i−iiiii−i−ii−i−ii−iii−i
χ2911-1-1-1-1111-111-111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-111-111-1-11-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-1111-1-1-1-111i−i−iii−i−iiiiii−i−i−i−i−i−i−i−iiiii-11-111-11-1-1-11111-1-1ii−i−i−i−iiii−i−iii−i−ii
χ3011-1-1-1-1111-111-111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-111-111-1-11-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-1111-1-1-1-111−iii−i−iii−i−i−i−i−iiiiiiiii−i−i−i−i-11-111-11-1-1-11111-1-1−i−iiiii−i−i−iii−i−iii−i
χ3111-1-1-1-1111-111-111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-111-111-1-11-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-11111-1-1i−i−iii−i−iiiiii−i−i−i−i−i−i−i−iiiii1-11-1-11-1111-1-1-1-111ii−i−i−i−iii−iii−i−iii−i
χ3211-1-1-1-1111-111-111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-111-111-1-11-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-11111-1-1−iii−i−iii−i−i−i−i−iiiiiiiii−i−i−i−i1-11-1-11-1111-1-1-1-111−i−iiiii−i−ii−i−iii−i−ii
χ332222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000002222-2-2-2-21+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
χ362222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000-2-2-2-22222−1−52−1−52−1+52−1+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
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χ622222-2-2-2-2-2-2222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52-2-22i2i−2i−2i1−521+521−521+5222−1+52−1−52−1+52−1−52−1+52−1−522i2i2i2i−2i−2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1−52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−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−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000000000000000-2-222−2i−2i2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+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−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000000000000001−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ632222-2-2-2-2-2-2222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52-2-2−2i−2i2i2i1−521+521−521+5222−1+52−1−52−1+52−1−52−1+52−1−52−2i−2i−2i−2i2i2i2i2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−1+52−1−52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+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−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000000022-2-2−2i−2i2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+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−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000000000000000−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ642222-2-2-2-2-2-2222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52-2-2−2i−2i2i2i1−521+521−521+5222−1+52−1−52−1+52−1−52−1+52−1−52−2i−2i−2i−2i2i2i2i2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−1+52−1−52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+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−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000000000000000-2-2222i2i−2i−2i−ζ7−ζ23−ζ43−ζ47−ζ7−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−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000000001−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ652222-2-2-2-2-2-2-12222-1-1-12222221111-2-2-2-2-2-2-2-2112i2i−2i−2i-2-2-2-2-1-1-1-12222−i−i−i−iiiii-1-1-1-1-1-11111111111112i2i2i2i−2i−2i−2i−2i-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii22-2-222-2-2-1-1-1-11111000000000000000000000000112i2i−2i−2i-1-1−i−i−i−iiiii0000000000000000
χ662222-2-2-2-2-2-2-12222-1-1-12222221111-2-2-2-2-2-2-2-2112i2i−2i−2i-2-2-2-2-1-1-1-12222−i−i−i−iiiii-1-1-1-1-1-11111111111112i2i2i2i−2i−2i−2i−2i-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-2-222-2-2221111-1-1-1-1000000000000000000000000-1-1−2i−2i2i2i11iiii−i−i−i−i0000000000000000
χ672222-2-2-2-2-2-2-12222-1-1-12222221111-2-2-2-2-2-2-2-211−2i−2i2i2i-2-2-2-2-1-1-1-12222iiii−i−i−i−i-1-1-1-1-1-1111111111111−2i−2i−2i−2i2i2i2i2i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i22-2-222-2-2-1-1-1-1111100000000000000000000000011−2i−2i2i2i-1-1iiii−i−i−i−i0000000000000000
χ682222-2-2-2-2-2-2-12222-1-1-12222221111-2-2-2-2-2-2-2-211−2i−2i2i2i-2-2-2-2-1-1-1-12222iiii−i−i−i−i-1-1-1-1-1-1111111111111−2i−2i−2i−2i2i2i2i2i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-2-222-2-2221111-1-1-1-1000000000000000000000000-1-12i2i−2i−2i11−i−i−i−iiiii0000000000000000
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χ7122-2-222-2-22-2-1-222211-122-2-2-2-2-1-1112222-2-2-2-21-1000022-2-21-1-1-1-2-2223−3−333−3−331111-1-1-1-1-1-1111111-1-10000000011-1-13−33−3−33−333−33−3−33−332-2-22-222-2-1-111-1-1110000000000000000000000001-100001-13−3−333−3−330000000000000000
χ7222-2-222-2-22-2-1-222211-122-2-2-2-2-1-1112222-2-2-2-21-1000022-2-21-1-1-1-2-2223−3−333−3−331111-1-1-1-1-1-1111111-1-10000000011-1-13−33−3−33−333−33−3−33−33-222-22-2-2211-1-111-1-1000000000000000000000000-110000-11−333−3−333−30000000000000000
χ7322-2-222-2-22-2-1-222211-122-2-2-2-2-1-1112222-2-2-2-21-1000022-2-21-1-1-1-2-222−333−3−333−31111-1-1-1-1-1-1111111-1-10000000011-1-1−33−333−33−3−33−333−33−32-2-22-222-2-1-111-1-1110000000000000000000000001-100001-1−333−3−333−30000000000000000
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χ7522-2-222-2-2-2222-2−1−52−1+52-2-22−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−522-22i−2i2i−2i1+521−52−1−52−1+522-2−1−52−1+52−1−52−1+521+521−522i2i−2i−2i2i2i−2i−2i1+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−52−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−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700000000000000002i−2i2i−2i2-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000
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χ1694-4-44−4i4i4i−4i00400−1+5−1−5-44-41−51+51−5−1+51+5−1−5−4i4i4i−4i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000−1+5−1−50000000000001−5−1+51+5−1−51−51+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000ζ2+ζ7+ζ22−ζ23−ζ38−ζ43+ζ47−ζ58−ζ2−ζ7−ζ22+ζ23+ζ38+ζ43−ζ47+ζ58−ζ11+ζ14+ζ19−ζ26−ζ31+ζ34−ζ46+ζ59ζ11−ζ14−ζ19+ζ26+ζ31−ζ34+ζ46−ζ59−ζ2−ζ7−ζ22+ζ23+ζ38+ζ43−ζ47+ζ58ζ2+ζ7+ζ22−ζ23−ζ38−ζ43+ζ47−ζ58ζ11−ζ14−ζ19+ζ26+ζ31−ζ34+ζ46−ζ59−ζ11+ζ14+ζ19−ζ26−ζ31+ζ34−ζ46+ζ59−ζ2+ζ7−ζ22−ζ23+ζ38−ζ43+ζ47+ζ58ζ2−ζ7+ζ22+ζ23−ζ38+ζ43−ζ47−ζ58ζ11+ζ14−ζ19−ζ26+ζ31+ζ34−ζ46−ζ59−ζ11−ζ14+ζ19+ζ26−ζ31−ζ34+ζ46+ζ59ζ2−ζ7+ζ22+ζ23−ζ38+ζ43−ζ47−ζ58−ζ2+ζ7−ζ22−ζ23+ζ38−ζ43+ζ47+ζ58−ζ11−ζ14+ζ19+ζ26−ζ31−ζ34+ζ46+ζ59ζ11+ζ14−ζ19−ζ26+ζ31+ζ34−ζ46−ζ5900000000000000000000000000000000
χ1704-4-44−4i4i4i−4i00400−1+5−1−5-44-41−51+51−5−1+51+5−1−5−4i4i4i−4i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000−1+5−1−50000000000001−5−1+51+5−1−51−51+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000−ζ2−ζ7−ζ22+ζ23+ζ38+ζ43−ζ47+ζ58ζ2+ζ7+ζ22−ζ23−ζ38−ζ43+ζ47−ζ58ζ11−ζ14−ζ19+ζ26+ζ31−ζ34+ζ46−ζ59−ζ11+ζ14+ζ19−ζ26−ζ31+ζ34−ζ46+ζ59ζ2+ζ7+ζ22−ζ23−ζ38−ζ43+ζ47−ζ58−ζ2−ζ7−ζ22+ζ23+ζ38+ζ43−ζ47+ζ58−ζ11+ζ14+ζ19−ζ26−ζ31+ζ34−ζ46+ζ59ζ11−ζ14−ζ19+ζ26+ζ31−ζ34+ζ46−ζ59ζ2−ζ7+ζ22+ζ23−ζ38+ζ43−ζ47−ζ58−ζ2+ζ7−ζ22−ζ23+ζ38−ζ43+ζ47+ζ58−ζ11−ζ14+ζ19+ζ26−ζ31−ζ34+ζ46+ζ59ζ11+ζ14−ζ19−ζ26+ζ31+ζ34−ζ46−ζ59−ζ2+ζ7−ζ22−ζ23+ζ38−ζ43+ζ47+ζ58ζ2−ζ7+ζ22+ζ23−ζ38+ζ43−ζ47−ζ58ζ11+ζ14−ζ19−ζ26+ζ31+ζ34−ζ46−ζ59−ζ11−ζ14+ζ19+ζ26−ζ31−ζ34+ζ46+ζ5900000000000000000000000000000000
χ1714-4-44−4i4i4i−4i00-200442-22-4-4-44-442i−2i−2i2i−4i4i−4i4i4i−4i4i−4i000000000000-2-20000000000002-22-2222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000−2i32i32i3−2i3−232323−2300000000000000000000000000000000000000000000000000000000
χ1724-4-44−4i4i4i−4i00-200442-22-4-4-44-442i−2i−2i2i−4i4i−4i4i4i−4i4i−4i000000000000-2-20000000000002-22-2222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000002i3−2i3−2i32i323−23−232300000000000000000000000000000000000000000000000000000000
χ1738-88-88i−8i8i−8i00-400−2−25−2+25-4442+252−25−2−252+25−2+252−25−4i4i−4i4i−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ470000000000001+51−50000000000001+5−1−51−5−1+5−1−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-88-88i−8i8i−8i00-400−2+25−2−25-4442−252+25−2+252−25−2−252+25−4i4i−4i4i−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ590000000000001−51+50000000000001−5−1+51+5−1−5−1+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1758-88-8−8i8i−8i8i00-400−2−25−2+25-4442+252−25−2−252+25−2+252−254i−4i4i−4i4ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ470000000000001+51−50000000000001+5−1−51−5−1+5−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1768-88-8−8i8i−8i8i00-400−2+25−2−25-4442−252+25−2+252−25−2−252+254i−4i4i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ590000000000001−51+50000000000001−5−1+51+5−1−5−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1778-8-888i−8i−8i8i00-400−2−25−2+254-442+252−252+25−2−252−25−2+25−4i4i4i−4i−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ470000000000001+51−5000000000000−1−51+5−1+51−5−1−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1788-8-888i−8i−8i8i00-400−2+25−2−254-442−252+252−25−2+252+25−2−25−4i4i4i−4i−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ590000000000001−51+5000000000000−1+51−5−1−51+5−1+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1798-8-88−8i8i8i−8i00-400−2−25−2+254-442+252−252+25−2−252−25−2+254i−4i−4i4i4ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ470000000000001+51−5000000000000−1−51+5−1+51−5−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1808-8-88−8i8i8i−8i00-400−2+25−2−254-442−252+252−25−2+252+25−2−254i−4i−4i4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ590000000000001−51+5000000000000−1+51−5−1−51+5−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.