Finite Group Databasebeta

← Group #72221006

Character table — Group #72221006

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111111122224444444444444444888888888888888888888888888888888888888820202020202020202525252525252525404040404040404040404040404040405050505050505050505050505050505050505050100100100100100100100100
order1244888824885510102020202040404040404040405510101010101010102020202020202020202040404040404040404040404040404040404040402244888822448888101010102020202040404040404040402444444444888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1iiii−i−i−i−i-1-1-1iiii−i−i−i−iii−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1−i−i−i−iiiii-1-1-1−i−i−i−iiiii−i−iii−i−iii
χ511111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1iiii−i−i−i−i-1-1-1iiii−i−i−i−i−i−iii−i−iii
χ611111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1−i−i−i−iiiii-1-1-1−i−i−i−iiiiiii−i−iii−i−i
χ711111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1iiii−i−i−i−i-111−i−i−i−iiiii−i−iiiii−i−i
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1−i−i−i−iiiii-111iiii−i−i−i−iii−i−i−i−iii
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1iiii−i−i−i−i-111−i−i−i−iiiiiii−i−i−i−iii
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1−i−i−i−iiiii-111iiii−i−i−i−i−i−iiiii−i−i
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-11111
χ1711-1-1ii−i−i-11i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-111111111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1i−ii−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-1ii−i−iii−i−i1i−i11-1-111-1-11-11-1i−ii−i
χ1811-1-1ii−i−i-11i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-111111111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1i−ii−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-1−i−iii−i−iii1i−i-1-111-1-111-11-11−ii−ii
χ1911-1-1ii−i−i-11i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-111111111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii-1-111−i−iii11-1-1-1-111ii−i−i−i−iii111-1-1-1-111-1−ii−i−iiiii−i−i−iii−i1-1-11
χ2011-1-1ii−i−i-11i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-111111111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii-1-111−i−iii11-1-1-1-111ii−i−i−i−iii1-1-11111-1-1-1−iiii−i−i−i−iiii−i−ii-111-1
χ2111-1-1ii−i−i-11i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-111111111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-111-1−iii−i-1-111−i−iii-1-11111-1-1−i−iiiii−i−i111-1-1-1-111-1−ii−i−iiiii−i−ii−i−ii-111-1
χ2211-1-1ii−i−i-11i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-111111111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-111-1−iii−i-1-111−i−iii-1-11111-1-1−i−iiiii−i−i1-1-11111-1-1-1−iiii−i−i−i−iii−iii−i1-1-11
χ2311-1-1ii−i−i-11i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-111111111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−ii−ii11-1-1ii−i−i-1-1-1-11111−i−iii−i−iii-1ii−i−iii−i−i1i−i11-1-111-1-1-11-11−ii−ii
χ2411-1-1ii−i−i-11i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-111111111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−ii−ii11-1-1ii−i−i-1-1-1-11111−i−iii−i−iii-1−i−iii−i−iii1i−i-1-111-1-1111-11-1i−ii−i
χ2511-1-1−i−iii-11−ii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−ii−ii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii-1ii−i−iii−i−i1−ii-1-111-1-111-11-11i−ii−i
χ2611-1-1−i−iii-11−ii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−ii−ii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii-1−i−iii−i−iii1−ii11-1-111-1-11-11-1−ii−ii
χ2711-1-1−i−iii-11−ii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−i-1-111ii−i−i11-1-1-1-111−i−iiiii−i−i111-1-1-1-111-1i−iii−i−i−i−iiii−i−ii1-1-11
χ2811-1-1−i−iii-11−ii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−i-1-111ii−i−i11-1-1-1-111−i−iiiii−i−i1-1-11111-1-1-1i−i−i−iiiii−i−i−iii−i-111-1
χ2911-1-1−i−iii-11−ii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i−ii-1-111ii−i−i-1-11111-1-1ii−i−i−i−iii111-1-1-1-111-1i−iii−i−i−i−iii−iii−i-111-1
χ3011-1-1−i−iii-11−ii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i−ii-1-111ii−i−i-1-11111-1-1ii−i−i−i−iii1-1-11111-1-1-1i−i−i−iiiii−i−ii−i−ii1-1-11
χ3111-1-1−i−iii-11−ii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111i−ii−i11-1-1−i−iii-1-1-1-11111ii−i−iii−i−i-1ii−i−iii−i−i1−ii-1-111-1-1111-11-1−ii−ii
χ3211-1-1−i−iii-11−ii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111i−ii−i11-1-1−i−iii-1-1-1-11111ii−i−iii−i−i-1−i−iii−i−iii1−ii11-1-111-1-1-11-11i−ii−i
χ3322222222-2-2-2-2222222222222222222-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000222222220000000000000000-200000000-2-2-20000000000000000
χ3422222222-2-2-2-2222222222222222222-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000002000000002220000000000000000
χ352222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-22222000000002222-2-2-2-20000000000000000-200000000-2220000000000000000
χ362222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2222200000000-2-2-2-2222200000000000000002000000002-2-20000000000000000
χ3722-2-22i2i−2i−2i2-2−2i2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222222222-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000022-2-22i2i−2i−2i0000000000000000200000000-2−2i2i0000000000000000
χ3822-2-22i2i−2i−2i2-2−2i2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222222222-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000-2-222−2i−2i2i2i0000000000000000-20000000022i−2i0000000000000000
χ3922-2-2−2i−2i2i2i2-22i−2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222222222-2-2-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000022-2-2−2i−2i2i2i0000000000000000200000000-22i−2i0000000000000000
χ4022-2-2−2i−2i2i2i2-22i−2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222222222-2-2-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000-2-2222i2i−2i−2i0000000000000000-2000000002−2i2i0000000000000000
χ412-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000022-2-22i2i−2i−2i−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ3922000000-2-20000002i2i−2i−2i0000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000002-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0002−2i2−i22−2i2−i200000000
χ422-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000022-2-22i2i−2i−2i−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ3922000000-2-20000002i2i−2i−2i0000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000002-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000−22−i2i2−22−i2i200000000
χ432-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000022-2-22i2i−2i−2i−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ3922000000-2-20000002i2i−2i−2i0000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000-22−2i2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i000−i2i22−2i2−i2−2200000000
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χ452-22i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000022-2-22i2i−2i−2i2ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ3922000000-2-20000002i2i−2i−2i00002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000002-22i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000−22−i2i2−22−i2i200000000
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χ1178-8−8i8i−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ3700008-2-82−8i2i8i−2i−8ζ7−8ζ23−8ζ31−8ζ392ζ7+2ζ23+2ζ31+2ζ398ζ7+8ζ23+8ζ31+8ζ39−2ζ7−2ζ23−2ζ31−2ζ39−8ζ13−8ζ21−8ζ29−8ζ372ζ13+2ζ21+2ζ29+2ζ378ζ13+8ζ21+8ζ29+8ζ37−2ζ13−2ζ21−2ζ29−2ζ37-2-2000000220000002i2i−2i−2i00002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000000000000000000000000000000000000000000000000000
χ1188-8−8i8i−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ370000-282-82i−8i−2i8i2ζ7+2ζ23+2ζ31+2ζ39−8ζ7−8ζ23−8ζ31−8ζ39−2ζ7−2ζ23−2ζ31−2ζ398ζ7+8ζ23+8ζ31+8ζ392ζ13+2ζ21+2ζ29+2ζ37−8ζ13−8ζ21−8ζ29−8ζ37−2ζ13−2ζ21−2ζ29−2ζ378ζ13+8ζ21+8ζ29+8ζ37-2-2000000220000002i2i−2i−2i00002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000000000000000000000000000000000000000000000000000
χ1198-8−8i8i−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ370000-2-2222i2i−2i−2i2ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ373-2005-500-3200−5i5i00−3i2i3i−2i0000−3ζ7−3ζ23−3ζ31−3ζ392ζ7+2ζ23+2ζ31+2ζ393ζ7+3ζ23+3ζ31+3ζ39−2ζ7−2ζ23−2ζ31−2ζ39−5ζ13−5ζ21−5ζ29−5ζ375ζ13+5ζ21+5ζ29+5ζ3700−3ζ13−3ζ21−3ζ29−3ζ372ζ13+2ζ21+2ζ29+2ζ373ζ13+3ζ21+3ζ29+3ζ37−2ζ13−2ζ21−2ζ29−2ζ37−5ζ7−5ζ23−5ζ31−5ζ395ζ7+5ζ23+5ζ31+5ζ3900000000000000000000000000000000000000000000000000000000000000
χ1208-8−8i8i−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ370000-2-2222i2i−2i−2i2ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ373-200-5500-32005i−5i00−3i2i3i−2i0000−3ζ7−3ζ23−3ζ31−3ζ392ζ7+2ζ23+2ζ31+2ζ393ζ7+3ζ23+3ζ31+3ζ39−2ζ7−2ζ23−2ζ31−2ζ395ζ13+5ζ21+5ζ29+5ζ37−5ζ13−5ζ21−5ζ29−5ζ3700−3ζ13−3ζ21−3ζ29−3ζ372ζ13+2ζ21+2ζ29+2ζ373ζ13+3ζ21+3ζ29+3ζ37−2ζ13−2ζ21−2ζ29−2ζ375ζ7+5ζ23+5ζ31+5ζ39−5ζ7−5ζ23−5ζ31−5ζ3900000000000000000000000000000000000000000000000000000000000000
χ1218-8−8i8i−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ370000-2-2222i2i−2i−2i2ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37-2300005-52-30000−5i5i2i−3i−2i3i00002ζ7+2ζ23+2ζ31+2ζ39−3ζ7−3ζ23−3ζ31−3ζ39−2ζ7−2ζ23−2ζ31−2ζ393ζ7+3ζ23+3ζ31+3ζ3900−5ζ13−5ζ21−5ζ29−5ζ375ζ13+5ζ21+5ζ29+5ζ372ζ13+2ζ21+2ζ29+2ζ37−3ζ13−3ζ21−3ζ29−3ζ37−2ζ13−2ζ21−2ζ29−2ζ373ζ13+3ζ21+3ζ29+3ζ3700−5ζ7−5ζ23−5ζ31−5ζ395ζ7+5ζ23+5ζ31+5ζ39000000000000000000000000000000000000000000000000000000000000
χ1228-8−8i8i−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ370000-2-2222i2i−2i−2i2ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37-230000-552-300005i−5i2i−3i−2i3i00002ζ7+2ζ23+2ζ31+2ζ39−3ζ7−3ζ23−3ζ31−3ζ39−2ζ7−2ζ23−2ζ31−2ζ393ζ7+3ζ23+3ζ31+3ζ39005ζ13+5ζ21+5ζ29+5ζ37−5ζ13−5ζ21−5ζ29−5ζ372ζ13+2ζ21+2ζ29+2ζ37−3ζ13−3ζ21−3ζ29−3ζ37−2ζ13−2ζ21−2ζ29−2ζ373ζ13+3ζ21+3ζ29+3ζ37005ζ7+5ζ23+5ζ31+5ζ39−5ζ7−5ζ23−5ζ31−5ζ39000000000000000000000000000000000000000000000000000000000000
χ1238-8−8i8i8ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ398ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ3700008-2-82−8i2i8i−2i8ζ7+8ζ23+8ζ31+8ζ39−2ζ7−2ζ23−2ζ31−2ζ39−8ζ7−8ζ23−8ζ31−8ζ392ζ7+2ζ23+2ζ31+2ζ398ζ13+8ζ21+8ζ29+8ζ37−2ζ13−2ζ21−2ζ29−2ζ37−8ζ13−8ζ21−8ζ29−8ζ372ζ13+2ζ21+2ζ29+2ζ37-2-2000000220000002i2i−2i−2i0000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000000000000000000000000000000000000000000000000000000000
χ1248-8−8i8i8ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ398ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ370000-282-82i−8i−2i8i−2ζ7−2ζ23−2ζ31−2ζ398ζ7+8ζ23+8ζ31+8ζ392ζ7+2ζ23+2ζ31+2ζ39−8ζ7−8ζ23−8ζ31−8ζ39−2ζ13−2ζ21−2ζ29−2ζ378ζ13+8ζ21+8ζ29+8ζ372ζ13+2ζ21+2ζ29+2ζ37−8ζ13−8ζ21−8ζ29−8ζ37-2-2000000220000002i2i−2i−2i0000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000000000000000000000000000000000000000000000000000000000
χ1258-8−8i8i8ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ398ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ370000-2-2222i2i−2i−2i−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ373-2005-500-3200−5i5i00−3i2i3i−2i00003ζ7+3ζ23+3ζ31+3ζ39−2ζ7−2ζ23−2ζ31−2ζ39−3ζ7−3ζ23−3ζ31−3ζ392ζ7+2ζ23+2ζ31+2ζ395ζ13+5ζ21+5ζ29+5ζ37−5ζ13−5ζ21−5ζ29−5ζ37003ζ13+3ζ21+3ζ29+3ζ37−2ζ13−2ζ21−2ζ29−2ζ37−3ζ13−3ζ21−3ζ29−3ζ372ζ13+2ζ21+2ζ29+2ζ375ζ7+5ζ23+5ζ31+5ζ39−5ζ7−5ζ23−5ζ31−5ζ3900000000000000000000000000000000000000000000000000000000000000
χ1268-8−8i8i8ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ398ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ370000-2-2222i2i−2i−2i−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ373-200-5500-32005i−5i00−3i2i3i−2i00003ζ7+3ζ23+3ζ31+3ζ39−2ζ7−2ζ23−2ζ31−2ζ39−3ζ7−3ζ23−3ζ31−3ζ392ζ7+2ζ23+2ζ31+2ζ39−5ζ13−5ζ21−5ζ29−5ζ375ζ13+5ζ21+5ζ29+5ζ37003ζ13+3ζ21+3ζ29+3ζ37−2ζ13−2ζ21−2ζ29−2ζ37−3ζ13−3ζ21−3ζ29−3ζ372ζ13+2ζ21+2ζ29+2ζ37−5ζ7−5ζ23−5ζ31−5ζ395ζ7+5ζ23+5ζ31+5ζ3900000000000000000000000000000000000000000000000000000000000000
χ1278-8−8i8i8ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ398ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ370000-2-2222i2i−2i−2i−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37-2300005-52-30000−5i5i2i−3i−2i3i0000−2ζ7−2ζ23−2ζ31−2ζ393ζ7+3ζ23+3ζ31+3ζ392ζ7+2ζ23+2ζ31+2ζ39−3ζ7−3ζ23−3ζ31−3ζ39005ζ13+5ζ21+5ζ29+5ζ37−5ζ13−5ζ21−5ζ29−5ζ37−2ζ13−2ζ21−2ζ29−2ζ373ζ13+3ζ21+3ζ29+3ζ372ζ13+2ζ21+2ζ29+2ζ37−3ζ13−3ζ21−3ζ29−3ζ37005ζ7+5ζ23+5ζ31+5ζ39−5ζ7−5ζ23−5ζ31−5ζ39000000000000000000000000000000000000000000000000000000000000
χ1288-8−8i8i8ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ398ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ370000-2-2222i2i−2i−2i−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37-230000-552-300005i−5i2i−3i−2i3i0000−2ζ7−2ζ23−2ζ31−2ζ393ζ7+3ζ23+3ζ31+3ζ392ζ7+2ζ23+2ζ31+2ζ39−3ζ7−3ζ23−3ζ31−3ζ3900−5ζ13−5ζ21−5ζ29−5ζ375ζ13+5ζ21+5ζ29+5ζ37−2ζ13−2ζ21−2ζ29−2ζ373ζ13+3ζ21+3ζ29+3ζ372ζ13+2ζ21+2ζ29+2ζ37−3ζ13−3ζ21−3ζ29−3ζ3700−5ζ7−5ζ23−5ζ31−5ζ395ζ7+5ζ23+5ζ31+5ζ39000000000000000000000000000000000000000000000000000000000000

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