Finite Group Databasebeta

← Group #12963599

Character table — Group #12963599

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11111111222222222222444444444444444444444444222222224444444444448888888888888888888888882222222244444444444488888888888888888888888855555555101010101010101010101010202020202020202020202020202020202020202020202020
order1244888822244488888822224444444488888888888851020204040404010101020202040404040404010101010202020202020202040404040404040404040404051020204040404010101020202040404040404010101010202020202020202040404040404040404040404022448888222444888888222244444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111-1-11-1-1111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111111111-1-11-1-1111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111111111-1-11-1-1111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111111111-1-11-1-1111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1
χ611111111-1-11-1-1111-1-1-1-11-1-111-1-11-1-11111-1-1-1-111-1-11111111111-1-11-1-1111-1-1-1-11-1-111-1-11-1-11111-1-1-1-111-1-11111111111-1-11-1-1111-1-1-1-11-1-111-1-11-1-11111-1-1-1-111-1-11111111111-1-11-1-1111-1-1-1-11-1-111-1-11-1-11111-1-1-1-111-1-111
χ711111111-1-11-1-1111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-11111111111-1-11-1-1111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-11111111111-1-11-1-1111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-11111111111-1-11-1-1111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-111
χ811111111-1-11-1-1111-1-1-1-1-11-11-11-1111-1-1-1-111-1-11111-1-111111111-1-11-1-1111-1-1-1-1-11-11-11-1111-1-1-1-111-1-11111-1-111111111-1-11-1-1111-1-1-1-1-11-11-11-1111-1-1-1-111-1-11111-1-111111111-1-11-1-1111-1-1-1-1-11-11-11-1111-1-1-1-111-1-11111-1-1
χ91111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ101111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1
χ121111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ131111-1-1-1-1-1-11-1-11-1-111111-11-11-11-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-11-1-11-1-111111-11-11-11-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-11-1-11-1-111111-11-11-11-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-11-1-11-1-111111-11-11-11-1-1-111-1-111-1-11111-1-1
χ141111-1-1-1-1-1-11-1-11-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-111
χ151111-1-1-1-1-1-11-1-11-1-11111-111-1-111-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11-1-11111-111-1-111-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11-1-11111-111-1-111-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11-1-11111-111-1-111-111-1-111-1-1-1-111-1-111
χ161111-1-1-1-1-1-11-1-11-1-11111-11-11-11-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-11-1-11-1-11111-11-11-11-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-11-1-11-1-11111-11-11-11-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-11-1-11-1-11111-11-11-11-11-1-11111-1-111-1-111-1-1
χ1711-1-1ii−i−i1-1-11-11i−iii−i−i111-1-1-1-11i−ii−ii−ii−ii−ii−i1-11-111-1-1ii−i−i1-1-11-11i−iii−i−i111-1-1-1-11i−ii−ii−ii−ii−ii−i1-11-111-1-1ii−i−i1-1-11-11i−iii−i−i111-1-1-1-11i−ii−ii−ii−ii−ii−i1-11-111-1-1ii−i−i1-1-11-11i−iii−i−i111-1-1-1-11i−ii−ii−ii−ii−ii−i1-11-1
χ1811-1-1ii−i−i1-1-11-11i−iii−i−i11-11-1-11-1−ii−iii−ii−i−ii−ii-11-1111-1-1ii−i−i1-1-11-11i−iii−i−i11-11-1-11-1−ii−iii−ii−i−ii−ii-11-1111-1-1ii−i−i1-1-11-11i−iii−i−i11-11-1-11-1−ii−iii−ii−i−ii−ii-11-1111-1-1ii−i−i1-1-11-11i−iii−i−i11-11-1-11-1−ii−iii−ii−i−ii−ii-11-11
χ1911-1-1ii−i−i1-1-11-11i−iii−i−i-1-11-111-11−ii−ii−ii−iii−ii−i-11-1111-1-1ii−i−i1-1-11-11i−iii−i−i-1-11-111-11−ii−ii−ii−iii−ii−i-11-1111-1-1ii−i−i1-1-11-11i−iii−i−i-1-11-111-11−ii−ii−ii−iii−ii−i-11-1111-1-1ii−i−i1-1-11-11i−iii−i−i-1-11-111-11−ii−ii−ii−iii−ii−i-11-11
χ2011-1-1ii−i−i1-1-11-11i−iii−i−i-1-1-11111-1i−ii−i−ii−ii−ii−ii1-11-111-1-1ii−i−i1-1-11-11i−iii−i−i-1-1-11111-1i−ii−i−ii−ii−ii−ii1-11-111-1-1ii−i−i1-1-11-11i−iii−i−i-1-1-11111-1i−ii−i−ii−ii−ii−ii1-11-111-1-1ii−i−i1-1-11-11i−iii−i−i-1-1-11111-1i−ii−i−ii−ii−ii−ii1-11-1
χ2111-1-1ii−i−i-11-1-111i−i−i−iii1-111-11-1-1i−i−iii−i−iii−i−ii1-1-1111-1-1ii−i−i-11-1-111i−i−i−iii1-111-11-1-1i−i−iii−i−iii−i−ii1-1-1111-1-1ii−i−i-11-1-111i−i−i−iii1-111-11-1-1i−i−iii−i−iii−i−ii1-1-1111-1-1ii−i−i-11-1-111i−i−i−iii1-111-11-1-1i−i−iii−i−iii−i−ii1-1-11
χ2211-1-1ii−i−i-11-1-111i−i−i−iii1-1-1-1-1111−iii−ii−i−ii−iii−i-111-111-1-1ii−i−i-11-1-111i−i−i−iii1-1-1-1-1111−iii−ii−i−ii−iii−i-111-111-1-1ii−i−i-11-1-111i−i−i−iii1-1-1-1-1111−iii−ii−i−ii−iii−i-111-111-1-1ii−i−i-11-1-111i−i−i−iii1-1-1-1-1111−iii−ii−i−ii−iii−i-111-1
χ2311-1-1ii−i−i-11-1-111i−i−i−iii-11111-1-1-1−iii−i−iii−ii−i−ii-111-111-1-1ii−i−i-11-1-111i−i−i−iii-11111-1-1-1−iii−i−iii−ii−i−ii-111-111-1-1ii−i−i-11-1-111i−i−i−iii-11111-1-1-1−iii−i−iii−ii−i−ii-111-111-1-1ii−i−i-11-1-111i−i−i−iii-11111-1-1-1−iii−i−iii−ii−i−ii-111-1
χ2411-1-1ii−i−i-11-1-111i−i−i−iii-11-1-11-111i−i−ii−iii−i−iii−i1-1-1111-1-1ii−i−i-11-1-111i−i−i−iii-11-1-11-111i−i−ii−iii−i−iii−i1-1-1111-1-1ii−i−i-11-1-111i−i−i−iii-11-1-11-111i−i−ii−iii−i−iii−i1-1-1111-1-1ii−i−i-11-1-111i−i−i−iii-11-1-11-111i−i−ii−iii−i−iii−i1-1-11
χ2511-1-1−i−iii1-1-11-11−ii−i−iii111-1-1-1-11−ii−ii−ii−ii−ii−ii1-11-111-1-1−i−iii1-1-11-11−ii−i−iii111-1-1-1-11−ii−ii−ii−ii−ii−ii1-11-111-1-1−i−iii1-1-11-11−ii−i−iii111-1-1-1-11−ii−ii−ii−ii−ii−ii1-11-111-1-1−i−iii1-1-11-11−ii−i−iii111-1-1-1-11−ii−ii−ii−ii−ii−ii1-11-1
χ2611-1-1−i−iii1-1-11-11−ii−i−iii11-11-1-11-1i−ii−i−ii−iii−ii−i-11-1111-1-1−i−iii1-1-11-11−ii−i−iii11-11-1-11-1i−ii−i−ii−iii−ii−i-11-1111-1-1−i−iii1-1-11-11−ii−i−iii11-11-1-11-1i−ii−i−ii−iii−ii−i-11-1111-1-1−i−iii1-1-11-11−ii−i−iii11-11-1-11-1i−ii−i−ii−iii−ii−i-11-11
χ2711-1-1−i−iii1-1-11-11−ii−i−iii-1-11-111-11i−ii−ii−ii−i−ii−ii-11-1111-1-1−i−iii1-1-11-11−ii−i−iii-1-11-111-11i−ii−ii−ii−i−ii−ii-11-1111-1-1−i−iii1-1-11-11−ii−i−iii-1-11-111-11i−ii−ii−ii−i−ii−ii-11-1111-1-1−i−iii1-1-11-11−ii−i−iii-1-11-111-11i−ii−ii−ii−i−ii−ii-11-11
χ2811-1-1−i−iii1-1-11-11−ii−i−iii-1-1-11111-1−ii−iii−ii−ii−ii−i1-11-111-1-1−i−iii1-1-11-11−ii−i−iii-1-1-11111-1−ii−iii−ii−ii−ii−i1-11-111-1-1−i−iii1-1-11-11−ii−i−iii-1-1-11111-1−ii−iii−ii−ii−ii−i1-11-111-1-1−i−iii1-1-11-11−ii−i−iii-1-1-11111-1−ii−iii−ii−ii−ii−i1-11-1
χ2911-1-1−i−iii-11-1-111−iiii−i−i1-111-11-1-1−iii−i−iii−i−iii−i1-1-1111-1-1−i−iii-11-1-111−iiii−i−i1-111-11-1-1−iii−i−iii−i−iii−i1-1-1111-1-1−i−iii-11-1-111−iiii−i−i1-111-11-1-1−iii−i−iii−i−iii−i1-1-1111-1-1−i−iii-11-1-111−iiii−i−i1-111-11-1-1−iii−i−iii−i−iii−i1-1-11
χ3011-1-1−i−iii-11-1-111−iiii−i−i1-1-1-1-1111i−i−ii−iii−ii−i−ii-111-111-1-1−i−iii-11-1-111−iiii−i−i1-1-1-1-1111i−i−ii−iii−ii−i−ii-111-111-1-1−i−iii-11-1-111−iiii−i−i1-1-1-1-1111i−i−ii−iii−ii−i−ii-111-111-1-1−i−iii-11-1-111−iiii−i−i1-1-1-1-1111i−i−ii−iii−ii−i−ii-111-1
χ3111-1-1−i−iii-11-1-111−iiii−i−i-11111-1-1-1i−i−iii−i−ii−iii−i-111-111-1-1−i−iii-11-1-111−iiii−i−i-11111-1-1-1i−i−iii−i−ii−iii−i-111-111-1-1−i−iii-11-1-111−iiii−i−i-11111-1-1-1i−i−iii−i−ii−iii−i-111-111-1-1−i−iii-11-1-111−iiii−i−i-11111-1-1-1i−i−iii−i−ii−iii−i-111-1
χ3211-1-1−i−iii-11-1-111−iiii−i−i-11-1-11-111−iii−ii−i−iii−i−ii1-1-1111-1-1−i−iii-11-1-111−iiii−i−i-11-1-11-111−iii−ii−i−iii−i−ii1-1-1111-1-1−i−iii-11-1-111−iiii−i−i-11-1-11-111−iii−ii−i−iii−i−ii1-1-1111-1-1−i−iii-11-1-111−iiii−i−i-11-1-11-111−iii−ii−i−iii−i−ii1-1-11
χ33222222222-2-2-22-2-2-22-22-2000000000000000000000000222222222-2-2-22-2-2-22-22-2000000000000000000000000222222222-2-2-22-2-2-22-22-2000000000000000000000000222222222-2-2-22-2-2-22-22-2000000000000000000000000
χ3422222222-22-22-2-2-2-2-22-2200000000000000000000000022222222-22-22-2-2-2-2-22-2200000000000000000000000022222222-22-22-2-2-2-2-22-2200000000000000000000000022222222-22-22-2-2-2-2-22-22000000000000000000000000
χ352222-2-2-2-22-2-2-22-222-22-220000000000000000000000002222-2-2-2-22-2-2-22-222-22-220000000000000000000000002222-2-2-2-22-2-2-22-222-22-220000000000000000000000002222-2-2-2-22-2-2-22-222-22-22000000000000000000000000
χ362222-2-2-2-2-22-22-2-2222-22-20000000000000000000000002222-2-2-2-2-22-22-2-2222-22-20000000000000000000000002222-2-2-2-2-22-22-2-2222-22-20000000000000000000000002222-2-2-2-2-22-22-2-2222-22-2000000000000000000000000
χ3722-2-22i2i−2i−2i222-2-2-2−2i2i2i−2i−2i2i00000000000000000000000022-2-22i2i−2i−2i222-2-2-2−2i2i2i−2i−2i2i00000000000000000000000022-2-22i2i−2i−2i222-2-2-2−2i2i2i−2i−2i2i00000000000000000000000022-2-22i2i−2i−2i222-2-2-2−2i2i2i−2i−2i2i000000000000000000000000
χ3822-2-22i2i−2i−2i-2-2222-2−2i2i−2i2i2i−2i00000000000000000000000022-2-22i2i−2i−2i-2-2222-2−2i2i−2i2i2i−2i00000000000000000000000022-2-22i2i−2i−2i-2-2222-2−2i2i−2i2i2i−2i00000000000000000000000022-2-22i2i−2i−2i-2-2222-2−2i2i−2i2i2i−2i000000000000000000000000
χ3922-2-2−2i−2i2i2i222-2-2-22i−2i−2i2i2i−2i00000000000000000000000022-2-2−2i−2i2i2i222-2-2-22i−2i−2i2i2i−2i00000000000000000000000022-2-2−2i−2i2i2i222-2-2-22i−2i−2i2i2i−2i00000000000000000000000022-2-2−2i−2i2i2i222-2-2-22i−2i−2i2i2i−2i000000000000000000000000
χ4022-2-2−2i−2i2i2i-2-2222-22i−2i2i−2i−2i2i00000000000000000000000022-2-2−2i−2i2i2i-2-2222-22i−2i2i−2i−2i2i00000000000000000000000022-2-2−2i−2i2i2i-2-2222-22i−2i2i−2i−2i2i00000000000000000000000022-2-2−2i−2i2i2i-2-2222-22i−2i2i−2i−2i2i000000000000000000000000
χ414-44i−4i−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ390000000000000000000000000000000000004-44i−4i−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ390000000000000000000000000000000000004-44i−4i−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ390000000000000000000000000000000000004-44i−4i−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000000000000000000000000000000000
χ424-44i−4i4ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ390000000000000000000000000000000000004-44i−4i4ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ390000000000000000000000000000000000004-44i−4i4ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ390000000000000000000000000000000000004-44i−4i4ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ39000000000000000000000000000000000000
χ434-4−4i4i−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ370000000000000000000000000000000000004-4−4i4i−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ370000000000000000000000000000000000004-4−4i4i−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ370000000000000000000000000000000000004-4−4i4i−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37000000000000000000000000000000000000
χ444-4−4i4i4ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ370000000000000000000000000000000000004-4−4i4i4ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ370000000000000000000000000000000000004-4−4i4i4ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ370000000000000000000000000000000000004-4−4i4i4ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ37000000000000000000000000000000000000
χ45111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ461111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111
χ4711111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111
χ4811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ4911111111-1-11-1-1111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111111111-1-11-1-1111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111111111-1-11-1-1111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-111-1-1-11111-11-11-11-11-1-111-1-111-1-111-1-111
χ5011111111-1-11-1-1111-1-1-1-11-1-111-1-11-1-11111-1-1-1-111-1-11111111111-1-11-1-1111-1-1-1-11-1-111-1-11-1-11111-1-1-1-111-1-11111111111-1-11-1-1111-1-1-1-11-1-111-1-11-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-11111-111-1-111-111-1-1-1-11111-1-111-1-1
χ5111111111-1-11-1-1111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-11111111111-1-11-1-1111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-11111111111-1-11-1-1111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-111111-1-111-1-1111-1-111-1-1-1-11111-1-1
χ5211111111-1-11-1-1111-1-1-1-1-11-11-11-1111-1-1-1-111-1-11111-1-111111111-1-11-1-1111-1-1-1-1-11-11-11-1111-1-1-1-111-1-11111-1-111111111-1-11-1-1111-1-1-1-1-11-11-11-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-111111-11-11-11-1-1-11111-1-111-1-1-1-111
χ531111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ541111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-11111
χ551111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111111111
χ561111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ571111-1-1-1-1-1-11-1-11-1-111111-11-11-11-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-11-1-11-1-111111-11-11-11-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-11-1-11-1-111111-11-11-11-1-1-111-1-111-1-11111-1-1-1-1-1-1111111-111-111-1-1-1-1-11-11-11-1111-1-111-1-111-1-1-1-111
χ581111-1-1-1-1-1-11-1-11-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111-111-111-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1
χ591111-1-1-1-1-1-11-1-11-1-11111-111-1-111-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11-1-11111-111-1-111-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11-1-11111-111-1-111-111-1-111-1-1-1-111-1-111-1-1-1-1111111-111-111-1-1-1-11-1-111-1-11-1-111-1-11111-1-111-1-1
χ601111-1-1-1-1-1-11-1-11-1-11111-11-11-11-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-11-1-11-1-11111-11-11-11-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-11-1-11-1-11111-11-11-11-11-1-11111-1-111-1-111-1-1-1-1-1-1111111-111-111-1-1-1-11-11-11-11-111-1-1-1-111-1-111-1-111
χ6111-1-1ii−i−i1-1-11-11i−iii−i−i111-1-1-1-11i−ii−ii−ii−ii−ii−i1-11-111-1-1ii−i−i1-1-11-11i−iii−i−i111-1-1-1-11i−ii−ii−ii−ii−ii−i1-11-111-1-1ii−i−i1-1-11-11i−iii−i−i111-1-1-1-11i−ii−ii−ii−ii−ii−i1-11-1-1-111−i−iii-111-11-1−ii−i−iii-1-1-11111-1−ii−ii−ii−ii−ii−ii-11-11
χ6211-1-1ii−i−i1-1-11-11i−iii−i−i11-11-1-11-1−ii−iii−ii−i−ii−ii-11-1111-1-1ii−i−i1-1-11-11i−iii−i−i11-11-1-11-1−ii−iii−ii−i−ii−ii-11-1111-1-1ii−i−i1-1-11-11i−iii−i−i11-11-1-11-1−ii−iii−ii−i−ii−ii-11-11-1-111−i−iii-111-11-1−ii−i−iii-1-11-111-11i−ii−i−ii−iii−ii−i1-11-1
χ6311-1-1ii−i−i1-1-11-11i−iii−i−i-1-11-111-11−ii−ii−ii−iii−ii−i-11-1111-1-1ii−i−i1-1-11-11i−iii−i−i-1-11-111-11−ii−ii−ii−iii−ii−i-11-1111-1-1ii−i−i1-1-11-11i−iii−i−i-1-11-111-11−ii−ii−ii−iii−ii−i-11-11-1-111−i−iii-111-11-1−ii−i−iii11-11-1-11-1i−ii−ii−ii−i−ii−ii1-11-1
χ6411-1-1ii−i−i1-1-11-11i−iii−i−i-1-1-11111-1i−ii−i−ii−ii−ii−ii1-11-111-1-1ii−i−i1-1-11-11i−iii−i−i-1-1-11111-1i−ii−i−ii−ii−ii−ii1-11-111-1-1ii−i−i1-1-11-11i−iii−i−i-1-1-11111-1i−ii−i−ii−ii−ii−ii1-11-1-1-111−i−iii-111-11-1−ii−i−iii111-1-1-1-11−ii−iii−ii−ii−ii−i-11-11
χ6511-1-1ii−i−i-11-1-111i−i−i−iii1-111-11-1-1i−i−iii−i−iii−i−ii1-1-1111-1-1ii−i−i-11-1-111i−i−i−iii1-111-11-1-1i−i−iii−i−iii−i−ii1-1-1111-1-1ii−i−i-11-1-111i−i−i−iii1-111-11-1-1i−i−iii−i−iii−i−ii1-1-11-1-111−i−iii1-111-1-1−iiii−i−i-11-1-11-111−iii−i−iii−i−iii−i-111-1
χ6611-1-1ii−i−i-11-1-111i−i−i−iii1-1-1-1-1111−iii−ii−i−ii−iii−i-111-111-1-1ii−i−i-11-1-111i−i−i−iii1-1-1-1-1111−iii−ii−i−ii−iii−i-111-111-1-1ii−i−i-11-1-111i−i−i−iii1-1-1-1-1111−iii−ii−i−ii−iii−i-111-1-1-111−i−iii1-111-1-1−iiii−i−i-11111-1-1-1i−i−ii−iii−ii−i−ii1-1-11
χ6711-1-1ii−i−i-11-1-111i−i−i−iii-11111-1-1-1−iii−i−iii−ii−i−ii-111-111-1-1ii−i−i-11-1-111i−i−i−iii-11111-1-1-1−iii−i−iii−ii−i−ii-111-111-1-1ii−i−i-11-1-111i−i−i−iii-11111-1-1-1−iii−i−iii−ii−i−ii-111-1-1-111−i−iii1-111-1-1−iiii−i−i1-1-1-1-1111i−i−iii−i−ii−iii−i1-1-11
χ6811-1-1ii−i−i-11-1-111i−i−i−iii-11-1-11-111i−i−ii−iii−i−iii−i1-1-1111-1-1ii−i−i-11-1-111i−i−i−iii-11-1-11-111i−i−ii−iii−i−iii−i1-1-1111-1-1ii−i−i-11-1-111i−i−i−iii-11-1-11-111i−i−ii−iii−i−iii−i1-1-11-1-111−i−iii1-111-1-1−iiii−i−i1-111-11-1-1−iii−ii−i−iii−i−ii-111-1
χ6911-1-1−i−iii1-1-11-11−ii−i−iii111-1-1-1-11−ii−ii−ii−ii−ii−ii1-11-111-1-1−i−iii1-1-11-11−ii−i−iii111-1-1-1-11−ii−ii−ii−ii−ii−ii1-11-111-1-1−i−iii1-1-11-11−ii−i−iii111-1-1-1-11−ii−ii−ii−ii−ii−ii1-11-1-1-111ii−i−i-111-11-1i−iii−i−i-1-1-11111-1i−ii−ii−ii−ii−ii−i-11-11
χ7011-1-1−i−iii1-1-11-11−ii−i−iii11-11-1-11-1i−ii−i−ii−iii−ii−i-11-1111-1-1−i−iii1-1-11-11−ii−i−iii11-11-1-11-1i−ii−i−ii−iii−ii−i-11-1111-1-1−i−iii1-1-11-11−ii−i−iii11-11-1-11-1i−ii−i−ii−iii−ii−i-11-11-1-111ii−i−i-111-11-1i−iii−i−i-1-11-111-11−ii−iii−ii−i−ii−ii1-11-1
χ7111-1-1−i−iii1-1-11-11−ii−i−iii-1-11-111-11i−ii−ii−ii−i−ii−ii-11-1111-1-1−i−iii1-1-11-11−ii−i−iii-1-11-111-11i−ii−ii−ii−i−ii−ii-11-1111-1-1−i−iii1-1-11-11−ii−i−iii-1-11-111-11i−ii−ii−ii−i−ii−ii-11-11-1-111ii−i−i-111-11-1i−iii−i−i11-11-1-11-1−ii−ii−ii−iii−ii−i1-11-1
χ7211-1-1−i−iii1-1-11-11−ii−i−iii-1-1-11111-1−ii−iii−ii−ii−ii−i1-11-111-1-1−i−iii1-1-11-11−ii−i−iii-1-1-11111-1−ii−iii−ii−ii−ii−i1-11-111-1-1−i−iii1-1-11-11−ii−i−iii-1-1-11111-1−ii−iii−ii−ii−ii−i1-11-1-1-111ii−i−i-111-11-1i−iii−i−i111-1-1-1-11i−ii−i−ii−ii−ii−ii-11-11
χ7311-1-1−i−iii-11-1-111−iiii−i−i1-111-11-1-1−iii−i−iii−i−iii−i1-1-1111-1-1−i−iii-11-1-111−iiii−i−i1-111-11-1-1−iii−i−iii−i−iii−i1-1-1111-1-1−i−iii-11-1-111−iiii−i−i1-111-11-1-1−iii−i−iii−i−iii−i1-1-11-1-111ii−i−i1-111-1-1i−i−i−iii-11-1-11-111i−i−iii−i−iii−i−ii-111-1
χ7411-1-1−i−iii-11-1-111−iiii−i−i1-1-1-1-1111i−i−ii−iii−ii−i−ii-111-111-1-1−i−iii-11-1-111−iiii−i−i1-1-1-1-1111i−i−ii−iii−ii−i−ii-111-111-1-1−i−iii-11-1-111−iiii−i−i1-1-1-1-1111i−i−ii−iii−ii−i−ii-111-1-1-111ii−i−i1-111-1-1i−i−i−iii-11111-1-1-1−iii−ii−i−ii−iii−i1-1-11
χ7511-1-1−i−iii-11-1-111−iiii−i−i-11111-1-1-1i−i−iii−i−ii−iii−i-111-111-1-1−i−iii-11-1-111−iiii−i−i-11111-1-1-1i−i−iii−i−ii−iii−i-111-111-1-1−i−iii-11-1-111−iiii−i−i-11111-1-1-1i−i−iii−i−ii−iii−i-111-1-1-111ii−i−i1-111-1-1i−i−i−iii1-1-1-1-1111−iii−i−iii−ii−i−ii1-1-11
χ7611-1-1−i−iii-11-1-111−iiii−i−i-11-1-11-111−iii−ii−i−iii−i−ii1-1-1111-1-1−i−iii-11-1-111−iiii−i−i-11-1-11-111−iii−ii−i−iii−i−ii1-1-1111-1-1−i−iii-11-1-111−iiii−i−i-11-1-11-111−iii−ii−i−iii−i−ii1-1-11-1-111ii−i−i1-111-1-1i−i−i−iii1-111-11-1-1i−i−ii−iii−i−iii−i-111-1
χ77222222222-2-2-22-2-2-22-22-2000000000000000000000000222222222-2-2-22-2-2-22-22-2000000000000000000000000222222222-2-2-22-2-2-22-22-2000000000000000000000000-2-2-2-2-2-2-2-2-2222-2222-22-22000000000000000000000000
χ7822222222-22-22-2-2-2-2-22-2200000000000000000000000022222222-22-22-2-2-2-2-22-2200000000000000000000000022222222-22-22-2-2-2-2-22-22000000000000000000000000-2-2-2-2-2-2-2-22-22-222222-22-2000000000000000000000000
χ792222-2-2-2-22-2-2-22-222-22-220000000000000000000000002222-2-2-2-22-2-2-22-222-22-220000000000000000000000002222-2-2-2-22-2-2-22-222-22-22000000000000000000000000-2-2-2-22222-2222-22-2-22-22-2000000000000000000000000
χ802222-2-2-2-2-22-22-2-2222-22-20000000000000000000000002222-2-2-2-2-22-22-2-2222-22-20000000000000000000000002222-2-2-2-2-22-22-2-2222-22-2000000000000000000000000-2-2-2-222222-22-222-2-2-22-22000000000000000000000000
χ8122-2-22i2i−2i−2i222-2-2-2−2i2i2i−2i−2i2i00000000000000000000000022-2-22i2i−2i−2i222-2-2-2−2i2i2i−2i−2i2i00000000000000000000000022-2-22i2i−2i−2i222-2-2-2−2i2i2i−2i−2i2i000000000000000000000000-2-222−2i−2i2i2i-2-2-22222i−2i−2i2i2i−2i000000000000000000000000
χ8222-2-22i2i−2i−2i-2-2222-2−2i2i−2i2i2i−2i00000000000000000000000022-2-22i2i−2i−2i-2-2222-2−2i2i−2i2i2i−2i00000000000000000000000022-2-22i2i−2i−2i-2-2222-2−2i2i−2i2i2i−2i000000000000000000000000-2-222−2i−2i2i2i22-2-2-222i−2i2i−2i−2i2i000000000000000000000000
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χ16944-4-44i4i−4i−4i444-4-4-4−4i4i4i−4i−4i4i000000000000000000000000−1−5−1−51+51+5−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−1−5−1−5−1−51+51+51+52ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000−1+5−1+51−51−5−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−1+5−1+5−1+51−51−51−52ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ17044-4-44i4i−4i−4i-4-4444-4−4i4i−4i4i4i−4i000000000000000000000000−1−5−1−51+51+5−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ141+51+5−1−5−1−5−1−51+52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000−1+5−1+51−51−5−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ381−51−5−1+5−1+5−1+51−52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ17144-4-4−4i−4i4i4i444-4-4-44i−4i−4i4i4i−4i000000000000000000000000−1−5−1−51+51+52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14−1−5−1−5−1−51+51+51+5−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000−1+5−1+51−51−52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−1+5−1+5−1+51−51−51−5−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ17244-4-4−4i−4i4i4i-4-4444-44i−4i4i−4i−4i4i000000000000000000000000−1−5−1−51+51+52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ141+51+5−1−5−1−5−1−51+5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000−1+5−1+51−51−52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ381−51−5−1+5−1+5−1+51−5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ1738-88i−8i−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ37−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39000000000000000000000000000000000000−2−252+25−4ζ6−4ζ144ζ6+4ζ144ζ21+4ζ29−4ζ21−4ζ294ζ31+4ζ39−4ζ31−4ζ39000000000000000000000000000000000000−2+252−25−4ζ22−4ζ384ζ22+4ζ384ζ13+4ζ37−4ζ13−4ζ374ζ7+4ζ23−4ζ7−4ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-88i−8i8ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ378ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ39000000000000000000000000000000000000−2−252+25−4ζ6−4ζ144ζ6+4ζ14−4ζ21−4ζ294ζ21+4ζ29−4ζ31−4ζ394ζ31+4ζ39000000000000000000000000000000000000−2+252−25−4ζ22−4ζ384ζ22+4ζ38−4ζ13−4ζ374ζ13+4ζ37−4ζ7−4ζ234ζ7+4ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1758-8−8i8i−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ37000000000000000000000000000000000000−2−252+254ζ6+4ζ14−4ζ6−4ζ144ζ31+4ζ39−4ζ31−4ζ394ζ21+4ζ29−4ζ21−4ζ29000000000000000000000000000000000000−2+252−254ζ22+4ζ38−4ζ22−4ζ384ζ7+4ζ23−4ζ7−4ζ234ζ13+4ζ37−4ζ13−4ζ3700000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1768-8−8i8i8ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ398ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ37000000000000000000000000000000000000−2−252+254ζ6+4ζ14−4ζ6−4ζ14−4ζ31−4ζ394ζ31+4ζ39−4ζ21−4ζ294ζ21+4ζ29000000000000000000000000000000000000−2+252−254ζ22+4ζ38−4ζ22−4ζ38−4ζ7−4ζ234ζ7+4ζ23−4ζ13−4ζ374ζ13+4ζ3700000000000000000000000000000000000000000000000000000000000000000000000000000000

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