Finite Group Databasebeta

← Group #12122189

Character table — Group #12122189

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size1111222222222222222222444444444444444444444444448888888888888888888888888888881010101016161616161616161616161616161616202020202020202020202020202020202020404040404040
order1222224444558888101010101010444488101010102020202020202020404040404040404044448888882020202020202020404040404040404040404040888820202020202020204040404040404040224444444444444488444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1
χ51111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ61111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-11111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-111111111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ9111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ11111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-111-1-1
χ12111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-111
χ13111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ14111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-111-1-1
χ15111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111
χ16111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1
χ171-11-11-1-1-11111ii−i−i-1-111-1-1i−ii−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i1-1i−ii−i1-11-1ii−i−iii−i−iii−i−i1111-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-11-1i−ii−i1-1i−ii−iii−i−i1-11-1i−i1-1
χ181-11-11-1-1-11111ii−i−i-1-111-1-1i−ii−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i1-1i−ii−i1-11-1ii−i−iii−i−iii−i−i1111-1-1-1-1-1-11111-1-1ii−i−iii−i−i11-1-1-11−ii−ii-11−ii−ii−i−iii-11-11−ii-11
χ191-11-11-1-1-11111ii−i−i-1-111-1-1i−ii−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i-11−ii−ii1-1-11ii−i−iii−i−iii−i−i1111-1-1-1-111-1-1-1-111−i−iii−i−iii-1-111-11i−i−ii-11i−i−iiii−i−i1-1-11−ii1-1
χ201-11-11-1-1-11111ii−i−i-1-111-1-1i−ii−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i-11−ii−ii1-1-11ii−i−iii−i−iii−i−i1111-1-1-1-1-1-111-1-111−i−iii−i−iii-1-1111-1−iii−i1-1−iii−i−i−iii-111-1i−i-11
χ211-11-11-1-1-11111ii−i−i-1-111-1-1−ii−iii−i11-1-11111-1-1-1-1iiii−i−i−i−i1-1i−i−ii-11-11−i−iii−i−iiiii−i−i-1-1-1-1111111-1-111-1-1ii−i−i−i−iii-1-111-11−ii−ii-11−ii−iiii−i−i1-11-1i−i-11
χ221-11-11-1-1-11111ii−i−i-1-111-1-1−ii−iii−i11-1-11111-1-1-1-1iiii−i−i−i−i1-1i−i−ii-11-11−i−iii−i−iiiii−i−i-1-1-1-11111-1-11111-1-1ii−i−i−i−iii-1-1111-1i−ii−i1-1i−ii−i−i−iii-11-11−ii1-1
χ231-11-11-1-1-11111ii−i−i-1-111-1-1−ii−iii−i11-1-11111-1-1-1-1iiii−i−i−i−i-11−iii−i-111-1−i−iii−i−iiiii−i−i-1-1-1-1111111-1-1-1-111−i−iiiii−i−i11-1-11-1−iii−i1-1−iii−iii−i−i1-1-11−ii-11
χ241-11-11-1-1-11111ii−i−i-1-111-1-1−ii−iii−i11-1-11111-1-1-1-1iiii−i−i−i−i-11−iii−i-111-1−i−iii−i−iiiii−i−i-1-1-1-11111-1-111-1-111−i−iiiii−i−i11-1-1-11i−i−ii-11i−i−ii−i−iii-111-1i−i1-1
χ251-11-11-1-1-11111−i−iii-1-111-1-1i−ii−i−ii11-1-11111-1-1-1-1−i−i−i−iiiii1-1−iii−i-11-11ii−i−iii−i−i−i−iii-1-1-1-1111111-1-111-1-1−i−iiiii−i−i-1-111-11i−ii−i-11i−ii−i−i−iii1-11-1−ii-11
χ261-11-11-1-1-11111−i−iii-1-111-1-1i−ii−i−ii11-1-11111-1-1-1-1−i−i−i−iiiii1-1−iii−i-11-11ii−i−iii−i−i−i−iii-1-1-1-11111-1-11111-1-1−i−iiiii−i−i-1-1111-1−ii−ii1-1−ii−iiii−i−i-11-11i−i1-1
χ271-11-11-1-1-11111−i−iii-1-111-1-1i−ii−i−ii11-1-11111-1-1-1-1−i−i−i−iiiii-11i−i−ii-111-1ii−i−iii−i−i−i−iii-1-1-1-1111111-1-1-1-111ii−i−i−i−iii11-1-11-1i−i−ii1-1i−i−ii−i−iii1-1-11i−i-11
χ281-11-11-1-1-11111−i−iii-1-111-1-1i−ii−i−ii11-1-11111-1-1-1-1−i−i−i−iiiii-11i−i−ii-111-1ii−i−iii−i−i−i−iii-1-1-1-11111-1-111-1-111ii−i−i−i−iii11-1-1-11−iii−i-11−iii−iii−i−i-111-1−ii1-1
χ291-11-11-1-1-11111−i−iii-1-111-1-1−ii−ii−ii11-1-11111-1-1-1-1−i−i−i−iiiii1-1−ii−ii1-11-1−i−iii−i−iii−i−iii1111-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-11-1−ii−ii1-1−ii−ii−i−iii1-11-1−ii1-1
χ301-11-11-1-1-11111−i−iii-1-111-1-1−ii−ii−ii11-1-11111-1-1-1-1−i−i−i−iiiii1-1−ii−ii1-11-1−i−iii−i−iii−i−iii1111-1-1-1-1-1-11111-1-1−i−iii−i−iii11-1-1-11i−ii−i-11i−ii−iii−i−i-11-11i−i-11
χ311-11-11-1-1-11111−i−iii-1-111-1-1−ii−ii−ii11-1-11111-1-1-1-1−i−i−i−iiiii-11i−ii−i1-1-11−i−iii−i−iii−i−iii1111-1-1-1-111-1-1-1-111ii−i−iii−i−i-1-111-11−iii−i-11−iii−i−i−iii1-1-11i−i1-1
χ321-11-11-1-1-11111−i−iii-1-111-1-1−ii−ii−ii11-1-11111-1-1-1-1−i−i−i−iiiii-11i−ii−i1-1-11−i−iii−i−iii−i−iii1111-1-1-1-1-1-111-1-111ii−i−iii−i−i-1-1111-1i−i−ii1-1i−i−iiii−i−i-111-1−ii-11
χ332222222222−1+52−1−522222−1+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+52−1−52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52000000000000000000000000
χ342222222222−1+52−1−522222−1+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+52−1−52−1−52-2-2-2-2-2-222-2-2−1+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+52−1−52−1−5200001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ352222222222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ362222222222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2221−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ372222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−522222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-222-2-2-2-2−1+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+520000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ382222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−522222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-222-2-2-2-222−1+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+5200001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ392222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-2-2-222221−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ402222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2222222-2-21−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ412222222222−1−52−1+522222−1−52−1+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+522222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52000000000000000000000000
χ422222222222−1−52−1+522222−1−52−1+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+52-2-2-2-2-2-222-2-2−1−52−1+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+5200001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ432222222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ442222222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-2221+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ452222222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+522222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
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χ1034-44-4-444-4-44−1+5−1−54i4i−4i−4i1−51+5−1+5−1−51−51+50000−4i4i1−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+5−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ140000000000000000002ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ140000000000000000000000000000000000000000000000000000
χ1044-44-4-444-4-44−1+5−1−5−4i−4i4i4i1−51+5−1+5−1−51−51+500004i−4i1−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+52ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14000000000000000000−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ140000000000000000000000000000000000000000000000000000
χ1054-44-4-444-4-44−1−5−1+54i4i−4i−4i1+51−5−1−5−1+51+51−50000−4i4i1+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−5−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ380000000000000000002ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ380000000000000000000000000000000000000000000000000000
χ1064-44-4-444-4-44−1−5−1+5−4i−4i4i4i1+51−5−1−5−1+51+51−500004i−4i1+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−52ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ38000000000000000000−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ380000000000000000000000000000000000000000000000000000
χ1074-44-4-44-444-4−1+5−1−500001−51+5−1+5−1−51−51+54i−4i−4i4i001−51+5−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ1400000000000000000000000000000000000000000000000000000000
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χ1094-44-4-44-444-4−1−5−1+500001+51−5−1−5−1+51+51−54i−4i−4i4i001+51−5−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ3800000000000000000000000000000000000000000000000000000000
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χ1114-4-44000000442i2−2i2−2i22i2-4-4-4-4440000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000022−22−222200000000000000000000000000002i−2i−2i2i00000000
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χ1134-4-4400000044−2i22i22i2−2i2-4-4-4-444000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000022−22−22220000000000000000000000000000−2i2i2i−2i00000000
χ1144-4-4400000044−2i22i22i2−2i2-4-4-4-444000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000−222222−2200000000000000000000000000002i−2i−2i2i00000000
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χ11888-8-8000000−2−25−2+25−4242−4242−2−25−2+252+252−252+252−25000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88000000−2+25−2−254i2−4i2−4i24i22−252+252−252+25−2+25−2−250000000000000000002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88000000−2+25−2−25−4i24i24i2−4i22−252+252−252+25−2+25−2−25000000000000000000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ392ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88000000−2−25−2+254i2−4i2−4i24i22+252−252+252−25−2−25−2+250000000000000000002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88000000−2−25−2+25−4i24i24i2−4i22+252−252+252−25−2−25−2+25000000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ372ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000000000000000000

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