Finite Group Databasebeta

← Group #14294788

Character table — Group #14294788

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222222222222444444444444444444444444444444444444444444445555888888888888888888888888888888881010101010101010101010101010121212121212121220202020202020202020202020202020242424242424242424242424242424246060606060606060
order122222344445566610101010101012121212668888101010101212151520202020202020202424242424242424303030303030606060606060606044443030303040404040404040406060606012012012012012012012012012012012012012012012012022224466661212121244448888668888121224242424242424242020202020202020404040404040404044448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111-1-1-1-111111111111-1-1-1-111ii−i−i1111-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-1-1-1111111-1-1ii−i−i-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ101111111-1-1-1-111111111111-1-1-1-111ii−i−i1111-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-1-1-11111-1-111−i−iii-1-1ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii
χ111111111-1-1-1-111111111111-1-1-1-111ii−i−i1111-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-11111-1-1-1-111-1-1ii−i−i11−i−iii-1-1−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ121111111-1-1-1-111111111111-1-1-1-111ii−i−i1111-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-11111-1-1-1-1-1-111−i−iii11−i−iii-1-1−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ131111111-1-1-1-111111111111-1-1-1-111−i−iii1111-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-1-1-1111111-1-1−i−iii-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ141111111-1-1-1-111111111111-1-1-1-111−i−iii1111-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-1-1-11111-1-111ii−i−i-1-1−i−iii11−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i
χ151111111-1-1-1-111111111111-1-1-1-111−i−iii1111-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-11111-1-1-1-111-1-1−i−iii11ii−i−i-1-1iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ161111111-1-1-1-111111111111-1-1-1-111−i−iii1111-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-11111-1-1-1-1-1-111ii−i−i11ii−i−i-1-1iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii
χ1711-1-11-111-11-111-1-11-1-111-1-1-1-1111-11-11-111-1-11-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-1i−ii−ii−ii−i1-11-11-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811-1-11-111-11-111-1-11-1-111-1-1-1-1111-11-11-111-1-11-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-1−ii−ii−ii−ii1-11-11-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911-1-11-111-11-111-1-11-1-111-1-1-1-1111-11-11-111-1-11-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111i−ii−ii−ii−i-11-11-11-11-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2011-1-11-111-11-111-1-11-1-111-1-1-1-1111-11-11-111-1-11-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111−ii−ii−ii−ii-11-11-11-11-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2111-1-11-111-11-111-1-11-1-111-1-1-1-1111-1-11-1111-1-11-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-111-1-1i−ii−i−ii−ii1-1-11-111-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2211-1-11-111-11-111-1-11-1-111-1-1-1-1111-1-11-1111-1-11-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-111-1-1−ii−iii−ii−i1-1-11-111-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2311-1-11-111-11-111-1-11-1-111-1-1-1-1111-1-11-1111-1-11-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-111-1-111i−ii−i−ii−ii-111-11-1-1111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ2411-1-11-111-11-111-1-11-1-111-1-1-1-1111-1-11-1111-1-11-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-111-1-111−ii−iii−ii−i-111-11-1-1111-1-111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ2511-1-11-11-11-1111-1-11-1-111-1-111-1-11-1i−i−ii11-1-1-1111-1-111-1-111ii−i−i−i−iii-1-1-1-1111111-1-1-1-111-1-111-1-1ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1-1-11111-1-1i−i−ii-111-1-11i−i−ii1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1i−i−ii-111-1
χ2611-1-11-11-11-1111-1-11-1-111-1-111-1-11-1i−i−ii11-1-1-1111-1-111-1-111ii−i−i−i−iii-1-1-1-1111111-1-1-1-111-1-111-1-1ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1-1-11111-1-1−iii−i1-1-11-11i−i−ii1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−iii−i1-1-11
χ2711-1-11-11-11-1111-1-11-1-111-1-111-1-11-1i−i−ii11-1-1-1111-1-111-1-111ii−i−i−i−iii-1-1-1-1111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1111-1-1-1-111i−i−ii-111-11-1−iii−i-11−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−iii−i1-1-11
χ2811-1-11-11-11-1111-1-11-1-111-1-111-1-11-1i−i−ii11-1-1-1111-1-111-1-111ii−i−i−i−iii-1-1-1-1111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1111-1-1-1-111−iii−i1-1-111-1−iii−i-11−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111i−i−ii-111-1
χ2911-1-11-11-11-1111-1-11-1-111-1-111-1-11-1−iii−i11-1-1-1111-1-111-1-111−i−iiiii−i−i-1-1-1-1111111-1-1-1-111-1-111-1-1−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1-1-11111-1-1i−i−ii1-1-11-11−iii−i1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111i−i−ii1-1-11
χ3011-1-11-11-11-1111-1-11-1-111-1-111-1-11-1−iii−i11-1-1-1111-1-111-1-111−i−iiiii−i−i-1-1-1-1111111-1-1-1-111-1-111-1-1−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1-1-11111-1-1−iii−i-111-1-11−iii−i1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−iii−i-111-1
χ3111-1-11-11-11-1111-1-11-1-111-1-111-1-11-1−iii−i11-1-1-1111-1-111-1-111−i−iiiii−i−i-1-1-1-1111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1111-1-1-1-111i−i−ii1-1-111-1i−i−ii-11ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−iii−i-111-1
χ3211-1-11-11-11-1111-1-11-1-111-1-111-1-11-1−iii−i11-1-1-1111-1-111-1-111−i−iiiii−i−i-1-1-1-1111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1111-1-1-1-111−iii−i-111-11-1i−i−ii-11ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1i−i−ii1-1-11
χ3322222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+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+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000222222220000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ3422222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+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+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000-2-2-2-2-2-2-2-200000000000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000
χ3522222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222-2-2-2-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+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+521−521−52000000000000002222-2-2-2-20000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000
χ3622222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222-2-2-2-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+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+521−521−5200000000000000-2-2-2-2222200000000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ3722222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000222222220000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ3822222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000-2-2-2-2-2-2-2-200000000000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000
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χ412222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222i2i−2i−2i−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521−521+521−521+521−521+521−522i2i2i2i−2i−2i−2i−2i−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ471+521−521+521−52−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+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000000000000022-2-22i2i−2i−2i0000000000000000−1−52−1+52−1−52−1+521+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000
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χ432222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−2i−2i2i2i−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521−521+521−521+521−521+521−52−2i−2i−2i−2i2i2i2i2i−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ471+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+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−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000000000000022-2-2−2i−2i2i2i0000000000000000−1−52−1+52−1−52−1+521+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000000
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χ452222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222i2i−2i−2i−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521+521−521+521−521+521−521+522i2i2i2i−2i−2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−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+ζ591−521+521−521+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+ζ590000000000000022-2-22i2i−2i−2i0000000000000000−1+52−1−52−1+52−1−521−521+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+ζ5900000000
χ462222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222i2i−2i−2i−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521+521−521+521−521+521−521+522i2i2i2i−2i−2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−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+ζ591−521+521−521+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+ζ5900000000000000-2-222−2i−2i2i2i00000000000000001−521+521−521+52−1+52−1−52−1+52−1−52ζ7+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−ζ5900000000
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χ13244-4-44-4-2-44-44−1+5−1−522-21−51+5−1+5−1−51−51+5-2-222-22−4i4i4i−4i−1+5−1−51−51+52-21−521+521−51+5−1+5−1−51−51+5−1+5−1−52i2i−2i−2i−2i−2i2i2i−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−522ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−1+52−1−521−521+52−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+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000000000000000000000000000000000000000000000
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χ14044-4-4-44-244-4-4−1+5−1−522-21−51+5−1+5−1−51−51+5-2-2222-200001−51+5−1+5−1−5-221−521+52−1+5−1−5−1+5−1−51−51+51−51+5−232323−23−232323−23−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−521−521+52000000001−521+52−1+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000000000000000000000000000000000000000000000000000
χ14144-4-4-44-2-4-444−1−5−1+522-21+51−5−1−5−1+51+51−522-2-22-200001+51−5−1−5−1+52-21+521−521+51−51+51−5−1−5−1+5−1−5−1+5−2i32i32i3−2i32i3−2i3−2i32i3−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−5200000000−1−52−1+521+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ5800000000000000000000000000000000000000000000000000000000000000
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χ14344-4-4-44-2-4-444−1+5−1−522-21−51+5−1+5−1−51−51+522-2-22-200001−51+5−1+5−1−52-21−521+521−51+51−51+5−1+5−1−5−1+5−1−5−2i32i32i3−2i32i3−2i3−2i32i3−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+5200000000−1+52−1−521−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.