Finite Group Databasebeta

← Group #12110576

Character table — Group #12110576

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222222222222244444444444488888888888888888888888888888888888816161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222222244445510101010101010101010101010104444202020202020202022444444888820202020202020204040404040404040404040404040404010101010202020202020202020202020224444448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ101111111111111111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ121111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ131111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ141111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111
χ151111111111111111111111111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ161111111111111111111111111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ17111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1i−ii−i11-1-111-1-11-1i−i1-1i−i1-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−ii−i1-111-1-1ii−i−i1-11-1i−ii−i
χ18111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1i−ii−i11-1-111-1-11-1i−i1-1i−i1-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i-11−ii−ii-11-1-111−i−iii-11-11−ii−ii
χ19111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1i−ii−i11-1-111-1-11-1i−i-11−ii-11−iiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii1-1i−ii−i1-1-1-111−i−iii1-1-11i−i−ii
χ20111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1i−ii−i11-1-111-1-11-1i−i-11−ii-11−iiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii-11−ii−ii-1111-1-1ii−i−i-111-1−iii−i
χ21111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1i−ii−i11-1-111-1-1-11−ii1-1i−i-11−iiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i1-1i−ii−i1-1-1-111−i−iii-111-1−iii−i
χ22111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1i−ii−i11-1-111-1-1-11−ii1-1i−i-11−iiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i-11−ii−ii-1111-1-1ii−i−i1-1-11i−i−ii
χ23111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1i−ii−i11-1-111-1-1-11−ii-11−ii1-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii1-1i−ii−i1-111-1-1ii−i−i-11-11−ii−ii
χ24111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1i−ii−i11-1-111-1-1-11−ii-11−ii1-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii-11−ii−ii-11-1-111−i−iii1-11-1i−ii−i
χ25111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1−ii−ii11-1-111-1-11-1−ii1-1−ii1-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii1-1−ii−ii1-111-1-1−i−iii1-11-1−ii−ii
χ26111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1−ii−ii11-1-111-1-11-1−ii1-1−ii1-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii-11i−ii−i-11-1-111ii−i−i-11-11i−ii−i
χ27111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1−ii−ii11-1-111-1-11-1−ii-11i−i-11i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i1-1−ii−ii1-1-1-111ii−i−i1-1-11−iii−i
χ28111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1−ii−ii11-1-111-1-11-1−ii-11i−i-11i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i-11i−ii−i-1111-1-1−i−iii-111-1i−i−ii
χ29111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1−ii−ii11-1-111-1-1-11i−i1-1−ii-11i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii1-1−ii−ii1-1-1-111ii−i−i-111-1i−i−ii
χ30111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1−ii−ii11-1-111-1-1-11i−i1-1−ii-11i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii-11i−ii−i-1111-1-1−i−iii1-1-11−iii−i
χ31111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1−ii−ii11-1-111-1-1-11i−i-11i−i1-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i1-1−ii−ii1-111-1-1−i−iii-11-11i−ii−i
χ32111-1-1-11-11-11-11111-1-111-1-111-1-1-1-1−ii−ii11-1-111-1-1-11i−i-11i−i1-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i-11i−ii−i-11-1-111ii−i−i1-11-1−ii−ii
χ33222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ34222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-2-2-2−1+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ35222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-2-2-2−1+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+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ36222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-22222−1+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+52−1−52−1−52−1+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+52000000000000000000000000
χ37222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-222-2-222-2-21−521+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+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ38222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222-2-2221−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ39222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-2-2-2221−521+521−521+521−521+521−521+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ40222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-22222-2-21−521+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+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ41222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ42222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2-2-2−1−52−1+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+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ43222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2−1−52−1+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+521−521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ44222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1+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+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+521−52000000000000000000000000
χ45222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-222-2-222-2-21+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+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ46222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222-2-2221+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ47222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-2-2-2221+521−521+521−521+521−521+521−521+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+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ48222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-22222-2-21+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+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ4922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-20000000000002222-2-2-2-20000000000000000000000000000000022-2-222-2-20000000000000000
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χ994-4-4-4444-444-4-444-4-4-4-44444-4-4-4-4440000-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-4-4444-444-4-4−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−500001−51+51−51+5−1+5−1−5−1+5−1−500000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000
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χ1034-4-4-4444-444-4-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+500001+51−51+51−5−1−5−1+5−1−5−1+500000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000
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χ1054-4-4-4444-4-4-444−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−50000−1+5−1−5−1+5−1−51−51+51−51+500000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-4-444−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−50000−1+5−1−5−1+5−1−51−51+51−51+5000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-4-444−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+50000−1−5−1+5−1−5−1+51+51−51+51−5000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-4-444−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+50000−1−5−1+5−1−5−1+51+51−51+51−500000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000000000000000
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χ11188-8-88-8-880000−2+25−2−25−2+25−2−25−2+25−2−252−252+25−2+25−2−252−252+252−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-8-880000−2−25−2+25−2−25−2+25−2−25−2+252+252−25−2−25−2+252+252−252+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1148-8888-8-8-80000−2−25−2+252+252−252+252−252+252−25−2−25−2+25−2−25−2+25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1168-88-8-88-880000−2−25−2+252+252−25−2−25−2+252+252−252+252−25−2−25−2+252+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.