Finite Group Databasebeta

← Group #14417980

Character table — Group #14417980

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111222222222244444444444444444488888888101010102020202020202222444444444488888888888888888816161616161616162020202040404040404033336666666666121212121212121212121212121212121212242424242424242430303030606060606060
order1244245510102020202088888810102020404040404040404040404040404040408888224444361212612151530306060606024242424242430306060120120120120120120120120120120120120120120120120242424246612121212224424101010102020202088888810102020404040404040404040404040404040408888224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1
χ41111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111
χ511111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1
χ611111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111
χ711111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ911-1-1-111111-1-1-1-1i−ii−i1-1-1-1111111-1-1-1-1ii−i−iii−i−iii−i−i11-1-1i−i11-1-1-111111-1-1-1-1i−ii−i1-1-1-1111111-1-1-1-1ii−i−iii−i−iii−i−i11-1-1i−i11-1-1-111111-1-1-1-1i−ii−i1-1-1-1111111-1-1-1-1ii−i−iii−i−iii−i−i11-1-1i−i
χ1011-1-1-111111-1-1-1-1i−ii−i1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−iii-1-111−ii11-1-1-111111-1-1-1-1i−ii−i1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−iii-1-111−ii11-1-1-111111-1-1-1-1i−ii−i1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−iii-1-111−ii
χ1111-1-1-111111-1-1-1-1i−i−ii-11-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i1-1-11−ii11-1-1-111111-1-1-1-1i−i−ii-11-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i1-1-11−ii11-1-1-111111-1-1-1-1i−i−ii-11-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i1-1-11−ii
χ1211-1-1-111111-1-1-1-1i−i−ii-11-1-111-1-1-1-11111ii−i−i−i−iii−i−iii-111-1i−i11-1-1-111111-1-1-1-1i−i−ii-11-1-111-1-1-1-11111ii−i−i−i−iii−i−iii-111-1i−i11-1-1-111111-1-1-1-1i−i−ii-11-1-111-1-1-1-11111ii−i−i−i−iii−i−iii-111-1i−i
χ1311-1-1-111111-1-1-1-1−iii−i-11-1-111-1-1-1-11111−i−iiiii−i−iii−i−i-111-1−ii11-1-1-111111-1-1-1-1−iii−i-11-1-111-1-1-1-11111−i−iiiii−i−iii−i−i-111-1−ii11-1-1-111111-1-1-1-1−iii−i-11-1-111-1-1-1-11111−i−iiiii−i−iii−i−i-111-1−ii
χ1411-1-1-111111-1-1-1-1−iii−i-11-1-111-1-1-1-11111−i−iiiii−i−i−i−iii1-1-11i−i11-1-1-111111-1-1-1-1−iii−i-11-1-111-1-1-1-11111−i−iiiii−i−i−i−iii1-1-11i−i11-1-1-111111-1-1-1-1−iii−i-11-1-111-1-1-1-11111−i−iiiii−i−i−i−iii1-1-11i−i
χ1511-1-1-111111-1-1-1-1−ii−ii1-1-1-1111111-1-1-1-1−i−iii−i−iiiii−i−i-1-111i−i11-1-1-111111-1-1-1-1−ii−ii1-1-1-1111111-1-1-1-1−i−iii−i−iiiii−i−i-1-111i−i11-1-1-111111-1-1-1-1−ii−ii1-1-1-1111111-1-1-1-1−i−iii−i−iiiii−i−i-1-111i−i
χ1611-1-1-111111-1-1-1-1−ii−ii1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−iii11-1-1−ii11-1-1-111111-1-1-1-1−ii−ii1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−iii11-1-1−ii11-1-1-111111-1-1-1-1−ii−ii1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−iii11-1-1−ii
χ17222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+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+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+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+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+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+520000000000
χ21222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ22222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000
χ23222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ24222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+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+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+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+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+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+521−520000000000
χ252222-2-222222222000000-2-2-2-200000000000000002-22-20000002222-2-222222222000000-2-2-2-200000000000000002-22-20000002222-2-222222222000000-2-2-2-200000000000000002-22-2000000
χ262222-2-222222222000000-2-2-2-20000000000000000-22-220000002222-2-222222222000000-2-2-2-20000000000000000-22-220000002222-2-222222222000000-2-2-2-20000000000000000-22-22000000
χ2722-2-22-22222-2-2-2-200000022-2-200000000000000002i−2i−2i2i00000022-2-22-22222-2-2-2-200000022-2-200000000000000002i−2i−2i2i00000022-2-22-22222-2-2-2-200000022-2-200000000000000002i−2i−2i2i000000
χ2822-2-22-22222-2-2-2-200000022-2-20000000000000000−2i2i2i−2i00000022-2-22-22222-2-2-2-200000022-2-20000000000000000−2i2i2i−2i00000022-2-22-22222-2-2-2-200000022-2-20000000000000000−2i2i2i−2i000000
χ2922-2-2-22−1+52−1−52−1+52−1−521−521−521+521+522i−2i2i−2i2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+522i−2i2i−2i2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+522i−2i2i−2i2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000
χ3022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+522i−2i−2i2i-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+522i−2i−2i2i-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+522i−2i−2i2i-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000
χ3122-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−2i2i2i−2i-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−2i2i2i−2i-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−2i2i2i−2i-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000
χ3222-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−2i2i−2i2i2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−2i2i−2i2i2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−2i2i−2i2i2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000
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χ13144-4-4-44−1+5−1−5−1+5−1−51−51−51+51+5−4i4i4i−4i-441−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−52ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ140000000000-2-2222-21−521+521−521+52−1+52−1+52−1−52−1−522i−2i−2i2i2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000000000000000000000000000000000000000000000
χ13244-4-4-44−1+5−1−5−1+5−1−51−51−51+51+5−4i4i−4i4i4-41−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+52ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ140000000000-2-2222-21−521+521−521+52−1+52−1+52−1−52−1−522i−2i2i−2i-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000000000000000000000000000000000000000000000000
χ13344-4-4-44−1−5−1+5−1−5−1+51+51+51−51−54i−4i4i−4i4-41+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ380000000000-2-2222-21+521−521+521−52−1−52−1−52−1+52−1+52−2i2i−2i2i-22−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000000000000000000000000000000000000000000000
χ13444-4-4-44−1−5−1+5−1−5−1+51+51+51−51−54i−4i−4i4i-441+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ380000000000-2-2222-21+521−521+521−52−1−52−1−52−1+52−1+52−2i2i2i−2i2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000000000000000000000000000000000000000000000000000000
χ13544-4-4-44−1−5−1+5−1−5−1+51+51+51−51−5−4i4i4i−4i-441+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+52ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ380000000000-2-2222-21+521−521+521−52−1−52−1−52−1+52−1+522i−2i−2i2i2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000000000000000000000000000000000000000000000
χ13644-4-4-44−1−5−1+5−1−5−1+51+51+51−51−5−4i4i−4i4i4-41+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−52ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ380000000000-2-2222-21+521−521+521−52−1−52−1−52−1+52−1+522i−2i2i−2i-22−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000000000000000000000000000000000000000000000000000000
χ1378888-8-8−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−250000002−252+252−252+2500000000000000000000000000-4-4-4-4441−51+51−51+51−51−51+51+5000000−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388888-8-8−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+250000002+252−252+252−2500000000000000000000000000-4-4-4-4441+51−51+51−51+51+51−51−5000000−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-88-8−2+25−2−25−2+25−2−252−252−252+252+25000000−2+25−2−252−252+2500000000000000000000000000-4-444-441−51+51−51+5−1+5−1+5−1−5−1−50000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-88-8−2−25−2+25−2−25−2+252+252+252−252−25000000−2−25−2+252+252−2500000000000000000000000000-4-444-441+51−51+51−5−1−5−1−5−1+5−1+50000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88i−8i0088-8-88i−8i8i−8i000000000000000000000000000000000000-44−4i4i00-4-444−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ1400000000002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39000000000000000000-44−4i4i001−51+5−1+5−1−52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000000000000000000000000000000000000000000000000000000
χ1438-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ140000000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39000000000000000000-44−4i4i001−51+5−1+5−1−52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000000000000000000000000000000000000000000000000000000
χ1448-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ380000000000−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37000000000000000000-44−4i4i001+51−5−1−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000000000000000000000000000000000000000000000000
χ1458-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ3800000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37000000000000000000-44−4i4i001+51−5−1−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000000000000000000000000000000000000000000000000000
χ1468-8−8i8i0088-8-8−8i8i−8i8i000000000000000000000000000000000000-444i−4i00-4-4444i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ1400000000002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39000000000000000000-444i−4i001−51+5−1+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000000000000000000000000000000000000000000000000000000
χ1488-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ140000000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39000000000000000000-444i−4i001−51+5−1+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000000000000000000000000000000000000000000000000000000
χ1498-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000000000−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37000000000000000000-444i−4i001+51−5−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000000000000000000000000000000000000000000000000000
χ1508-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ3800000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37000000000000000000-444i−4i001+51−5−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000000000000000000000000000000000000000000000000

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