Finite Group Databasebeta

← Group #12067679

Character table — Group #12067679

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222244444444448888888822224444444444888888888816161616161616162222444444444488888888881616161616161616555510101010101010101010202020202020202020204040404040404040
order1222444444444424888888884444888851010102020202020202020202010204040404040404040202020204040404051010102020202020202020202010204040404040404040202020204040404022224444444444248888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i
χ611111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii11111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii11111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii11111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii
χ711111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii11111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii11111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii11111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii
χ811111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i11111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i11111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i11111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i
χ91111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i1111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i1111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i1111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i
χ101111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii1111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii1111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii1111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii
χ111111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii1111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii1111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii1111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii
χ121111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i1111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i1111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i1111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i
χ131111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-11
χ141111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-11111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-11111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-11111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-1
χ151111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-11111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-11111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-11111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-1
χ161111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-111111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-111111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-111111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-11
χ17222222-2-222-2-222-2-20000000000000000222222-2-222-2-222-2-20000000000000000222222-2-222-2-222-2-20000000000000000222222-2-222-2-222-2-20000000000000000
χ18222222-2-2-2-222-2-22-20000000000000000222222-2-2-2-222-2-22-20000000000000000222222-2-2-2-222-2-22-20000000000000000222222-2-2-2-222-2-22-20000000000000000
χ192222-2-2222222-2-2-2-200000000000000002222-2-2222222-2-2-2-200000000000000002222-2-2222222-2-2-2-200000000000000002222-2-2222222-2-2-2-20000000000000000
χ202222-2-222-2-2-2-2222-200000000000000002222-2-222-2-2-2-2222-200000000000000002222-2-222-2-2-2-2222-200000000000000002222-2-222-2-2-2-2222-20000000000000000
χ212-22-22i−2i002i−2i002-200i2−i22−22−2i2−i2000000002-22-22i−2i002i−2i002-200i2−i22−22−2i2−i2000000002-22-22i−2i002i−2i002-200i2−i22−22−2i2−i2000000002-22-22i−2i002i−2i002-200i2−i22−22−2i2−i200000000
χ222-22-22i−2i002i−2i002-200−i2i2−22−22−i2i2000000002-22-22i−2i002i−2i002-200−i2i2−22−22−i2i2000000002-22-22i−2i002i−2i002-200−i2i2−22−22−i2i2000000002-22-22i−2i002i−2i002-200−i2i2−22−22−i2i200000000
χ232-22-22i−2i00−2i2i00-22002−2−i2i2i2−i2−22000000002-22-22i−2i00−2i2i00-22002−2−i2i2i2−i2−22000000002-22-22i−2i00−2i2i00-22002−2−i2i2i2−i2−22000000002-22-22i−2i00−2i2i00-22002−2−i2i2i2−i2−2200000000
χ242-22-22i−2i00−2i2i00-2200−22i2−i2−i2i22−2000000002-22-22i−2i00−2i2i00-2200−22i2−i2−i2i22−2000000002-22-22i−2i00−2i2i00-2200−22i2−i2−i2i22−2000000002-22-22i−2i00−2i2i00-2200−22i2−i2−i2i22−200000000
χ252-22-2−2i2i002i−2i00-22002−2i2−i2−i2i2−22000000002-22-2−2i2i002i−2i00-22002−2i2−i2−i2i2−22000000002-22-2−2i2i002i−2i00-22002−2i2−i2−i2i2−22000000002-22-2−2i2i002i−2i00-22002−2i2−i2−i2i2−2200000000
χ262-22-2−2i2i002i−2i00-2200−22−i2i2i2−i22−2000000002-22-2−2i2i002i−2i00-2200−22−i2i2i2−i22−2000000002-22-2−2i2i002i−2i00-2200−22−i2i2i2−i22−2000000002-22-2−2i2i002i−2i00-2200−22−i2i2i2−i22−200000000
χ272-22-2−2i2i00−2i2i002-200i2−i2−22−22i2−i2000000002-22-2−2i2i00−2i2i002-200i2−i2−22−22i2−i2000000002-22-2−2i2i00−2i2i002-200i2−i2−22−22i2−i2000000002-22-2−2i2i00−2i2i002-200i2−i2−22−22i2−i200000000
χ282-22-2−2i2i00−2i2i002-200−i2i22−22−2−i2i2000000002-22-2−2i2i00−2i2i002-200−i2i22−22−2−i2i2000000002-22-2−2i2i00−2i2i002-200−i2i22−22−2−i2i2000000002-22-2−2i2i00−2i2i002-200−i2i22−22−2−i2i200000000
χ2944-4-40000004-40000000000000000000044-4-40000004-40000000000000000000044-4-40000004-40000000000000000000044-4-40000004-400000000000000000000
χ3044-4-4000000-440000000000000000000044-4-4000000-440000000000000000000044-4-4000000-440000000000000000000044-4-4000000-4400000000000000000000
χ314-4-44004i−4i0000000000000000000000004-4-44004i−4i0000000000000000000000004-4-44004i−4i0000000000000000000000004-4-44004i−4i000000000000000000000000
χ324-4-4400−4i4i0000000000000000000000004-4-4400−4i4i0000000000000000000000004-4-4400−4i4i0000000000000000000000004-4-4400−4i4i000000000000000000000000
χ33111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ351111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ361111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3711111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i-1-1-1-1-1-1-1-11111111-1−i−i−i−iiiii-1-111−i−iii
χ3811111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii11111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii11111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii-1-1-1-1-1-1-1-11111111-1−i−i−i−iiiii11-1-1ii−i−i
χ3911111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii11111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii11111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii-1-1-1-1-1-1-1-11111111-1iiii−i−i−i−i-1-111ii−i−i
χ4011111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i11111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i11111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i-1-1-1-1-1-1-1-11111111-1iiii−i−i−i−i11-1-1−i−iii
χ411111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i1111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i1111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i-1-1-1-11111-1-11111-1-1−i−iii−i−iii-11-11−ii−ii
χ421111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii1111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii1111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii-1-1-1-11111-1-11111-1-1−i−iii−i−iii1-11-1i−ii−i
χ431111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii1111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii1111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii-1-1-1-11111-1-11111-1-1ii−i−iii−i−i-11-11i−ii−i
χ441111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i1111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i1111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i-1-1-1-11111-1-11111-1-1ii−i−iii−i−i1-11-1−ii−ii
χ451111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-11-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-111-1-111-1
χ461111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-11111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-11111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-11-1-111-1-11
χ471111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-11111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-11111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-1-1-1-1-1111111-1-1-1-11-111-1-1-1-111-111-11-1-11
χ481111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-111111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-111111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-11-1-1-1-1111111-1-1-1-11-111-1-1-1-1111-1-11-111-1
χ49222222-2-222-2-222-2-20000000000000000222222-2-222-2-222-2-20000000000000000222222-2-222-2-222-2-20000000000000000-2-2-2-2-2-222-2-222-2-2220000000000000000
χ50222222-2-2-2-222-2-22-20000000000000000222222-2-2-2-222-2-22-20000000000000000222222-2-2-2-222-2-22-20000000000000000-2-2-2-2-2-22222-2-222-220000000000000000
χ512222-2-2222222-2-2-2-200000000000000002222-2-2222222-2-2-2-200000000000000002222-2-2222222-2-2-2-20000000000000000-2-2-2-222-2-2-2-2-2-222220000000000000000
χ522222-2-222-2-2-2-2222-200000000000000002222-2-222-2-2-2-2222-200000000000000002222-2-222-2-2-2-2222-20000000000000000-2-2-2-222-2-22222-2-2-220000000000000000
χ532-22-22i−2i002i−2i002-200i2−i22−22−2i2−i2000000002-22-22i−2i002i−2i002-200i2−i22−22−2i2−i2000000002-22-22i−2i002i−2i002-200i2−i22−22−2i2−i200000000-22-22−2i2i00−2i2i00-2200−i2i2−22−22−i2i200000000
χ542-22-22i−2i002i−2i002-200−i2i2−22−22−i2i2000000002-22-22i−2i002i−2i002-200−i2i2−22−22−i2i2000000002-22-22i−2i002i−2i002-200−i2i2−22−22−i2i200000000-22-22−2i2i00−2i2i00-2200i2−i22−22−2i2−i200000000
χ552-22-22i−2i00−2i2i00-22002−2−i2i2i2−i2−22000000002-22-22i−2i00−2i2i00-22002−2−i2i2i2−i2−22000000002-22-22i−2i00−2i2i00-22002−2−i2i2i2−i2−2200000000-22-22−2i2i002i−2i002-200−22i2−i2−i2i22−200000000
χ562-22-22i−2i00−2i2i00-2200−22i2−i2−i2i22−2000000002-22-22i−2i00−2i2i00-2200−22i2−i2−i2i22−2000000002-22-22i−2i00−2i2i00-2200−22i2−i2−i2i22−200000000-22-22−2i2i002i−2i002-2002−2−i2i2i2−i2−2200000000
χ572-22-2−2i2i002i−2i00-22002−2i2−i2−i2i2−22000000002-22-2−2i2i002i−2i00-22002−2i2−i2−i2i2−22000000002-22-2−2i2i002i−2i00-22002−2i2−i2−i2i2−2200000000-22-222i−2i00−2i2i002-200−22−i2i2i2−i22−200000000
χ582-22-2−2i2i002i−2i00-2200−22−i2i2i2−i22−2000000002-22-2−2i2i002i−2i00-2200−22−i2i2i2−i22−2000000002-22-2−2i2i002i−2i00-2200−22−i2i2i2−i22−200000000-22-222i−2i00−2i2i002-2002−2i2−i2−i2i2−2200000000
χ592-22-2−2i2i00−2i2i002-200i2−i2−22−22i2−i2000000002-22-2−2i2i00−2i2i002-200i2−i2−22−22i2−i2000000002-22-2−2i2i00−2i2i002-200i2−i2−22−22i2−i200000000-22-222i−2i002i−2i00-2200−i2i22−22−2−i2i200000000
χ602-22-2−2i2i00−2i2i002-200−i2i22−22−2−i2i2000000002-22-2−2i2i00−2i2i002-200−i2i22−22−2−i2i2000000002-22-2−2i2i00−2i2i002-200−i2i22−22−2−i2i200000000-22-222i−2i002i−2i00-2200i2−i2−22−22i2−i200000000
χ6144-4-40000004-40000000000000000000044-4-40000004-40000000000000000000044-4-40000004-400000000000000000000-4-444000000-4400000000000000000000
χ6244-4-4000000-440000000000000000000044-4-4000000-440000000000000000000044-4-4000000-4400000000000000000000-4-4440000004-400000000000000000000
χ634-4-44004i−4i0000000000000000000000004-4-44004i−4i0000000000000000000000004-4-44004i−4i000000000000000000000000-444-400−4i4i000000000000000000000000
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χ98222222222222222222222222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−5200000000000000000000000000000000
χ992222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+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+521−521−521−521−5200000000000000000000000000000000
χ1002222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+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+5200000000000000000000000000000000
χ10122222222-2-2-2-2-2-2-222i2i2i2i−2i−2i−2i−2i22-2-22i2i−2i−2i−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+52−1−52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−1−52−1−521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−52−1+52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−1+52−1+521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ3800000000000000000000000000000000
χ10222222222-2-2-2-2-2-2-222i2i2i2i−2i−2i−2i−2i-2-222−2i−2i2i2i−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+52−1−52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ141+521+52−1−52−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−52−1+52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ381−521−52−1+52−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ3800000000000000000000000000000000
χ10322222222-2-2-2-2-2-2-22−2i−2i−2i−2i2i2i2i2i22-2-2−2i−2i2i2i−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+52−1−52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−1−52−1−521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−52−1+52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−1+52−1+521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ3800000000000000000000000000000000
χ10422222222-2-2-2-2-2-2-22−2i−2i−2i−2i2i2i2i2i-2-2222i2i−2i−2i−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+52−1−52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ141+521+52−1−52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−52−1+52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ381−521−52−1+52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ3800000000000000000000000000000000
χ1052222-2-2-2-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i2-22-22i−2i2i−2i−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−521+52−1−521+52−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+521−52−1+521−52−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ3800000000000000000000000000000000
χ1062222-2-2-2-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i-22-22−2i2i−2i2i−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141+52−1−521+52−1−52ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381−52−1+521−52−1+52ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ3800000000000000000000000000000000
χ1072222-2-2-2-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2-22-2−2i2i−2i2i−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−521+52−1−521+52ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+521−52−1+521−52ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ3800000000000000000000000000000000
χ1082222-2-2-2-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i-22-222i−2i2i−2i−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ141+52−1−521+52−1−52−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ381−52−1+521−52−1+52−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ3800000000000000000000000000000000
χ1092222-2-2-2-2-2-22222-2222-2-2-2-2222-2-222-2-22−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+5200000000000000000000000000000000
χ1102222-2-2-2-2-2-22222-2222-2-2-2-222-222-2-222-2−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1−521+521+52−1−52−1−521+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1+521−521−52−1+52−1+521−5200000000000000000000000000000000
χ1112222-2-2-2-2-2-22222-22-2-22222-2-22-2-22-222-2−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−521+52−1−52−1−521+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+521−52−1+52−1+521−5200000000000000000000000000000000
χ1122222-2-2-2-2-2-22222-22-2-22222-2-2-222-22-2-22−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+52−1−521+521+52−1−52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−52−1+521−521−52−1+5200000000000000000000000000000000
χ113444444-4-444-4-444-4-40000000000000000−1−5−1−5−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+5−1−5−1−51+51+50000000000000000−1+5−1+5−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−5−1+5−1+51−51−5000000000000000000000000000000000000000000000000
χ114444444-4-4-4-444-4-44-40000000000000000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−51+51+5−1−51+50000000000000000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+51−51−5−1+51−5000000000000000000000000000000000000000000000000
χ1154444-4-4444444-4-4-4-40000000000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+50000000000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−5000000000000000000000000000000000000000000000000
χ1164444-4-444-4-4-4-4444-40000000000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+51+51+5−1−5−1−5−1−51+50000000000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−51−51−5−1+5−1+5−1+51−5000000000000000000000000000000000000000000000000
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χ1184-44-44i−4i004i−4i004-400−2i22i2−2222−2222−2i22i200000000−1−51+5−1−51+5−2ζ6−2ζ142ζ6+2ζ1400−2ζ6−2ζ142ζ6+2ζ1400−1−51+500−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000−1+51−5−1+51−5−2ζ22−2ζ382ζ22+2ζ3800−2ζ22−2ζ382ζ22+2ζ3800−1+51−500−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000000000000000000
χ1194-44-44i−4i00−4i4i00-440022−22−2i22i22i2−2i2−222200000000−1−51+5−1−51+5−2ζ6−2ζ142ζ6+2ζ14002ζ6+2ζ14−2ζ6−2ζ14001+5−1−500ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000−1+51−5−1+51−5−2ζ22−2ζ382ζ22+2ζ38002ζ22+2ζ38−2ζ22−2ζ38001−5−1+500−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000000000000000000000
χ1204-44-44i−4i00−4i4i00-4400−22222i2−2i2−2i22i222−2200000000−1−51+5−1−51+5−2ζ6−2ζ142ζ6+2ζ14002ζ6+2ζ14−2ζ6−2ζ14001+5−1−500−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000−1+51−5−1+51−5−2ζ22−2ζ382ζ22+2ζ38002ζ22+2ζ38−2ζ22−2ζ38001−5−1+500ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000000000000000000000
χ1214-44-4−4i4i004i−4i00-440022−222i2−2i2−2i22i2−222200000000−1−51+5−1−51+52ζ6+2ζ14−2ζ6−2ζ1400−2ζ6−2ζ142ζ6+2ζ14001+5−1−500ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000−1+51−5−1+51−52ζ22+2ζ38−2ζ22−2ζ3800−2ζ22−2ζ382ζ22+2ζ38001−5−1+500−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000000000000000000000
χ1224-44-4−4i4i004i−4i00-4400−2222−2i22i22i2−2i222−2200000000−1−51+5−1−51+52ζ6+2ζ14−2ζ6−2ζ1400−2ζ6−2ζ142ζ6+2ζ14001+5−1−500−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000−1+51−5−1+51−52ζ22+2ζ38−2ζ22−2ζ3800−2ζ22−2ζ382ζ22+2ζ38001−5−1+500ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000000000000000000000
χ1234-44-4−4i4i00−4i4i004-4002i2−2i2−2222−22222i2−2i200000000−1−51+5−1−51+52ζ6+2ζ14−2ζ6−2ζ14002ζ6+2ζ14−2ζ6−2ζ1400−1−51+500ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000−1+51−5−1+51−52ζ22+2ζ38−2ζ22−2ζ38002ζ22+2ζ38−2ζ22−2ζ3800−1+51−500ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000000000000000000
χ1244-44-4−4i4i00−4i4i004-400−2i22i222−2222−22−2i22i200000000−1−51+5−1−51+52ζ6+2ζ14−2ζ6−2ζ14002ζ6+2ζ14−2ζ6−2ζ1400−1−51+500−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000−1+51−5−1+51−52ζ22+2ζ38−2ζ22−2ζ38002ζ22+2ζ38−2ζ22−2ζ3800−1+51−500−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000000000000000000
χ12588-8-80000008-800000000000000000000−2−25−2−252+252+25000000−2−252+2500000000000000000000−2+25−2+252−252−25000000−2+252−250000000000000000000000000000000000000000000000000000
χ12688-8-8000000-8800000000000000000000−2−25−2−252+252+250000002+25−2−2500000000000000000000−2+25−2+252−252−250000002−25−2+250000000000000000000000000000000000000000000000000000
χ1278-8-88008i−8i000000000000000000000000−2−252+252+25−2−2500−4ζ6−4ζ144ζ6+4ζ14000000000000000000000000−2+252−252−25−2+2500−4ζ22−4ζ384ζ22+4ζ3800000000000000000000000000000000000000000000000000000000
χ1288-8-8800−8i8i000000000000000000000000−2−252+252+25−2−25004ζ6+4ζ14−4ζ6−4ζ14000000000000000000000000−2+252−252−25−2+25004ζ22+4ζ38−4ζ22−4ζ3800000000000000000000000000000000000000000000000000000000

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