Finite Group Databasebeta

← Group #72221259

Character table — Group #72221259

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size11112222224444444444444444444444444444888888888888888888888888888888888888161616161616161616161616161616161616161616161616252525252525252525252525505050505050505050505050505050505050100100100100100100100100100100100100
order12442444442455555588101010101010202020202020202020202020101010101010202020202020202020202020202020202020202020202020202020202020101010101010202020202020404040404040404040404040224488888888244444888888888888244444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1ii−i−i-1-1ii−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1−i−iii-1-1−i−iii
χ51111111111-1-1111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111-1-1111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ71111111111-1-1111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i11−i−iii11−i−iii
χ81111111111-1-1111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−iii−i−i−i−iiiii11ii−i−i11ii−i−i
χ9111111-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ10111111-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1
χ11111111-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-11111-1ii−i−i−i−i−i−iiiii-1-1−i−iii11ii−i−i
χ12111111-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-11111-1−i−iiiiiii−i−i−i−i-1-1ii−i−i11−i−iii
χ13111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ14111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1111111
χ15111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-11111-1ii−i−i−i−i−i−iiiii11ii−i−i-1-1−i−iii
χ16111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-11111-1−i−iiiiiii−i−i−i−i11−i−iii-1-1ii−i−i
χ1711-1-1-11ii−i−i1-1111111i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-1ii−i−iii−i−i-1ii−i−i1i−ii−i11-1-111-1-11-11-11-1i−ii−ii−i
χ1811-1-1-11ii−i−i1-1111111i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-1−i−iii−i−iii-1ii−i−i1−ii−ii-1-111-1-1111-1-11-11i−i−ii−ii
χ1911-1-1-11ii−i−i1-1111111i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-11111-1-1-1-1111−i−iii-11-1-11−i−iiiii−i−i-11−iii−i−ii1-1-11
χ2011-1-1-11ii−i−i1-1111111i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-111-1-11111-1-11−i−iii-1-111-1ii−i−i−i−iii-11i−i−ii−ii-111-1
χ2111-1-1-11ii−i−i-11111111−ii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii11-1-1ii−i−iii−i−i-1ii−i−i1i−ii−i11-1-111-1-1-11-11-11−ii−ii−ii
χ2211-1-1-11ii−i−i-11111111−ii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii11-1-1−i−iii−i−iii-1ii−i−i1−ii−ii-1-111-1-111-111-11-1−iii−ii−i
χ2311-1-1-11ii−i−i-11111111−ii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii-1-11111-1-1-1-1111−i−iii-11-1-11−i−iiiii−i−i1-1i−i−iii−i-111-1
χ2411-1-1-11ii−i−i-11111111−ii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii-1-111-1-11111-1-11−i−iii-1-111-1ii−i−i−i−iii1-1−iii−ii−i1-1-11
χ2511-1-1-11−i−iii1-1111111−ii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-1ii−i−iii−i−i-1−i−iii1i−ii−i-1-111-1-1111-1-11-11−iii−ii−i
χ2611-1-1-11−i−iii1-1111111−ii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-1−i−iii−i−iii-1−i−iii1−ii−ii11-1-111-1-11-11-11-1−ii−ii−ii
χ2711-1-1-11−i−iii1-1111111−ii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-11111-1-1-1-1111ii−i−i-11-1-11ii−i−i−i−iii-11i−i−iii−i1-1-11
χ2811-1-1-11−i−iii1-1111111−ii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-111-1-11111-1-11ii−i−i-1-111-1−i−iiiii−i−i-11−iii−ii−i-111-1
χ2911-1-1-11−i−iii-11111111i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i11-1-1ii−i−iii−i−i-1−i−iii1i−ii−i-1-111-1-111-111-11-1i−i−ii−ii
χ3011-1-1-11−i−iii-11111111i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i11-1-1−i−iii−i−iii-1−i−iii1−ii−ii11-1-111-1-1-11-11-11i−ii−ii−i
χ3111-1-1-11−i−iii-11111111i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i-1-11111-1-1-1-1111ii−i−i-11-1-11ii−i−i−i−iii1-1−iii−i−ii-111-1
χ3211-1-1-11−i−iii-11111111i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i-1-111-1-11111-1-11ii−i−i-1-111-1−i−iiiii−i−i1-1i−i−ii−ii1-1-11
χ332222-2-200000022222200222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000222222222222-20000-2-2-2-2-200000000000000000000
χ342222-2-200000022222200222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002222-2-2-2-2-2-2-2-2-20000-2222200000000000000000000
χ352222-2-200000022222200222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-22i2i2i2i−2i−2i−2i−2i200002−2i−2i2i2i00000000000000000000
χ362222-2-200000022222200222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-2−2i−2i−2i−2i2i2i2i2i2000022i2i−2i−2i00000000000000000000
χ3722-2-22-200000022222200222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-22i2i−2i−2i2i2i−2i−2i20000-2−2i2i−2i2i00000000000000000000
χ3822-2-22-200000022222200222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-2−2i−2i2i2i−2i−2i2i2i20000-22i−2i2i−2i00000000000000000000
χ3922-2-22-200000022222200222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-22222-2-2-2-222-200002-222-200000000000000000000
χ4022-2-22-200000022222200222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-222-2-22222-2-2-2000022-2-2200000000000000000000
χ412-22i−2i001+i−1−i1−i−1+i0022222200-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i0000000000001+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i0000000000000000000000002-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3901+i−1−i1−i−1+i000002−2i2−i22−2i2−i2000000000000
χ422-22i−2i001+i−1−i1−i−1+i0022222200-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i0000000000001+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i0000000000000000000000002-22i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3901+i−1−i1−i−1+i00000−22−i2i2−22−i2i2000000000000
χ432-22i−2i001+i−1−i1−i−1+i0022222200-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i0000000000001+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i000000000000000000000000-22−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370−1−i1+i−1+i1−i00000i2−i2−22−i2i22−2000000000000
χ442-22i−2i001+i−1−i1−i−1+i0022222200-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i0000000000001+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i000000000000000000000000-22−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370−1−i1+i−1+i1−i00000−i2i22−2i2−i2−22000000000000
χ452-22i−2i00−1−i1+i−1+i1−i0022222200-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i000000000000−1−i−1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1+i1+i−1+i−1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1−i1−i0000000000000000000000002-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390−1−i1+i−1+i1−i00000−22−i2i2−22−i2i2000000000000
χ462-22i−2i00−1−i1+i−1+i1−i0022222200-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i000000000000−1−i−1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1+i1+i−1+i−1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1−i1−i0000000000000000000000002-22i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390−1−i1+i−1+i1−i000002−2i2−i22−2i2−i2000000000000
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χ1338-8−8i8i004−4i−4+4i4+4i−4−4i00-2-23+5−2+25−2−253−50022−3−52−252+25−3+52i2i−4ζ6−4ζ14−2ζ22−2ζ384ζ22+4ζ384ζ6+4ζ14−2ζ6−2ζ14−4ζ22−4ζ38−2i−2i4ζ6+4ζ14+2ζ22+2ζ38−4ζ22−4ζ38−4ζ6−4ζ142ζ6+2ζ14+4ζ22+4ζ38000000000000−1+i−1+i2ζ4−2ζ6+ζ12−2ζ14−ζ22+ζ28+2ζ36−ζ38−2ζ12+2ζ22−2ζ28+2ζ38−2ζ4+2ζ6+2ζ14−2ζ36ζ4−ζ6+2ζ12−ζ14−2ζ22+2ζ28+ζ36−2ζ381−i1−i−2ζ4+2ζ6−ζ12+2ζ14+ζ22−ζ28−2ζ36+ζ382ζ12−2ζ22+2ζ28−2ζ382ζ4−2ζ6−2ζ14+2ζ36−ζ4+ζ6−2ζ12+ζ14+2ζ22−2ζ28−ζ36+2ζ38−1−i−1−i2ζ4+2ζ6+ζ12+2ζ14+ζ22+ζ28+2ζ36+ζ38−2ζ12−2ζ22−2ζ28−2ζ38−2ζ4−2ζ6−2ζ14−2ζ36ζ4+ζ6+2ζ12+ζ14+2ζ22+2ζ28+ζ36+2ζ381+i1+i−2ζ4−2ζ6−ζ12−2ζ14−ζ22−ζ28−2ζ36−ζ382ζ12+2ζ22+2ζ28+2ζ382ζ4+2ζ6+2ζ14+2ζ36−ζ4−ζ6−2ζ12−ζ14−2ζ22−2ζ28−ζ36−2ζ38000000000000000000000000000000000000000000000000000000000000000000
χ1348-8−8i8i004−4i−4+4i4+4i−4−4i00-2-2−2−253+53−5−2+2500222+25−3−5−3+52−252i2i4ζ6+4ζ14−4ζ6−4ζ14−2ζ22−2ζ38−2ζ6−2ζ14−4ζ22−4ζ384ζ22+4ζ38−2i−2i−4ζ6−4ζ144ζ6+4ζ14+2ζ22+2ζ382ζ6+2ζ14+4ζ22+4ζ38−4ζ22−4ζ38000000000000−1+i−1+i−2ζ4+2ζ6+2ζ14−2ζ362ζ4−2ζ6+ζ12−2ζ14−ζ22+ζ28+2ζ36−ζ38ζ4−ζ6+2ζ12−ζ14−2ζ22+2ζ28+ζ36−2ζ38−2ζ12+2ζ22−2ζ28+2ζ381−i1−i2ζ4−2ζ6−2ζ14+2ζ36−2ζ4+2ζ6−ζ12+2ζ14+ζ22−ζ28−2ζ36+ζ38−ζ4+ζ6−2ζ12+ζ14+2ζ22−2ζ28−ζ36+2ζ382ζ12−2ζ22+2ζ28−2ζ38−1−i−1−i−2ζ4−2ζ6−2ζ14−2ζ362ζ4+2ζ6+ζ12+2ζ14+ζ22+ζ28+2ζ36+ζ38ζ4+ζ6+2ζ12+ζ14+2ζ22+2ζ28+ζ36+2ζ38−2ζ12−2ζ22−2ζ28−2ζ381+i1+i2ζ4+2ζ6+2ζ14+2ζ36−2ζ4−2ζ6−ζ12−2ζ14−ζ22−ζ28−2ζ36−ζ38−ζ4−ζ6−2ζ12−ζ14−2ζ22−2ζ28−ζ36−2ζ382ζ12+2ζ22+2ζ28+2ζ38000000000000000000000000000000000000000000000000000000000000000000
χ1358-8−8i8i00−4+4i4−4i−4−4i4+4i008-2-2-2-2-200-822222−8i2i2i2i2i2i8i−2i−2i−2i−2i−2i000000000000−4+4i1−i1−i1−i1−i1−i4−4i−1+i−1+i−1+i−1+i−1+i−4−4i1+i1+i1+i1+i1+i4+4i−1−i−1−i−1−i−1−i−1−i000000000000000000000000000000000000000000000000000000000000000000
χ1368-8−8i8i00−4+4i4−4i−4−4i4+4i00-28-2-2-2-2002-822222i−8i2i2i2i2i−2i8i−2i−2i−2i−2i0000000000001−i−4+4i1−i1−i1−i1−i−1+i4−4i−1+i−1+i−1+i−1+i1+i−4−4i1+i1+i1+i1+i−1−i4+4i−1−i−1−i−1−i−1−i000000000000000000000000000000000000000000000000000000000000000000
χ1378-8−8i8i00−4+4i4−4i−4−4i4+4i00-2-2−2+253−53+5−2−2500222−25−3+5−3−52+252i2i4ζ22+4ζ38−2ζ6−2ζ14−4ζ22−4ζ38−4ζ6−4ζ14−2ζ22−2ζ384ζ6+4ζ14−2i−2i−4ζ22−4ζ382ζ6+2ζ14+4ζ22+4ζ384ζ6+4ζ14+2ζ22+2ζ38−4ζ6−4ζ140000000000001−i1−i2ζ12−2ζ22+2ζ28−2ζ38−ζ4+ζ6−2ζ12+ζ14+2ζ22−2ζ28−ζ36+2ζ38−2ζ4+2ζ6−ζ12+2ζ14+ζ22−ζ28−2ζ36+ζ382ζ4−2ζ6−2ζ14+2ζ36−1+i−1+i−2ζ12+2ζ22−2ζ28+2ζ38ζ4−ζ6+2ζ12−ζ14−2ζ22+2ζ28+ζ36−2ζ382ζ4−2ζ6+ζ12−2ζ14−ζ22+ζ28+2ζ36−ζ38−2ζ4+2ζ6+2ζ14−2ζ361+i1+i2ζ12+2ζ22+2ζ28+2ζ38−ζ4−ζ6−2ζ12−ζ14−2ζ22−2ζ28−ζ36−2ζ38−2ζ4−2ζ6−ζ12−2ζ14−ζ22−ζ28−2ζ36−ζ382ζ4+2ζ6+2ζ14+2ζ36−1−i−1−i−2ζ12−2ζ22−2ζ28−2ζ38ζ4+ζ6+2ζ12+ζ14+2ζ22+2ζ28+ζ36+2ζ382ζ4+2ζ6+ζ12+2ζ14+ζ22+ζ28+2ζ36+ζ38−2ζ4−2ζ6−2ζ14−2ζ36000000000000000000000000000000000000000000000000000000000000000000
χ1388-8−8i8i00−4+4i4−4i−4−4i4+4i00-2-23−5−2−25−2+253+50022−3+52+252−25−3−52i2i−2ζ6−2ζ14−4ζ22−4ζ384ζ6+4ζ144ζ22+4ζ38−4ζ6−4ζ14−2ζ22−2ζ38−2i−2i2ζ6+2ζ14+4ζ22+4ζ38−4ζ6−4ζ14−4ζ22−4ζ384ζ6+4ζ14+2ζ22+2ζ380000000000001−i1−i−ζ4+ζ6−2ζ12+ζ14+2ζ22−2ζ28−ζ36+2ζ382ζ4−2ζ6−2ζ14+2ζ362ζ12−2ζ22+2ζ28−2ζ38−2ζ4+2ζ6−ζ12+2ζ14+ζ22−ζ28−2ζ36+ζ38−1+i−1+iζ4−ζ6+2ζ12−ζ14−2ζ22+2ζ28+ζ36−2ζ38−2ζ4+2ζ6+2ζ14−2ζ36−2ζ12+2ζ22−2ζ28+2ζ382ζ4−2ζ6+ζ12−2ζ14−ζ22+ζ28+2ζ36−ζ381+i1+i−ζ4−ζ6−2ζ12−ζ14−2ζ22−2ζ28−ζ36−2ζ382ζ4+2ζ6+2ζ14+2ζ362ζ12+2ζ22+2ζ28+2ζ38−2ζ4−2ζ6−ζ12−2ζ14−ζ22−ζ28−2ζ36−ζ38−1−i−1−iζ4+ζ6+2ζ12+ζ14+2ζ22+2ζ28+ζ36+2ζ38−2ζ4−2ζ6−2ζ14−2ζ36−2ζ12−2ζ22−2ζ28−2ζ382ζ4+2ζ6+ζ12+2ζ14+ζ22+ζ28+2ζ36+ζ38000000000000000000000000000000000000000000000000000000000000000000
χ1398-8−8i8i00−4+4i4−4i−4−4i4+4i00-2-23+5−2+25−2−253−50022−3−52−252+25−3+52i2i−4ζ6−4ζ14−2ζ22−2ζ384ζ22+4ζ384ζ6+4ζ14−2ζ6−2ζ14−4ζ22−4ζ38−2i−2i4ζ6+4ζ14+2ζ22+2ζ38−4ζ22−4ζ38−4ζ6−4ζ142ζ6+2ζ14+4ζ22+4ζ380000000000001−i1−i−2ζ4+2ζ6−ζ12+2ζ14+ζ22−ζ28−2ζ36+ζ382ζ12−2ζ22+2ζ28−2ζ382ζ4−2ζ6−2ζ14+2ζ36−ζ4+ζ6−2ζ12+ζ14+2ζ22−2ζ28−ζ36+2ζ38−1+i−1+i2ζ4−2ζ6+ζ12−2ζ14−ζ22+ζ28+2ζ36−ζ38−2ζ12+2ζ22−2ζ28+2ζ38−2ζ4+2ζ6+2ζ14−2ζ36ζ4−ζ6+2ζ12−ζ14−2ζ22+2ζ28+ζ36−2ζ381+i1+i−2ζ4−2ζ6−ζ12−2ζ14−ζ22−ζ28−2ζ36−ζ382ζ12+2ζ22+2ζ28+2ζ382ζ4+2ζ6+2ζ14+2ζ36−ζ4−ζ6−2ζ12−ζ14−2ζ22−2ζ28−ζ36−2ζ38−1−i−1−i2ζ4+2ζ6+ζ12+2ζ14+ζ22+ζ28+2ζ36+ζ38−2ζ12−2ζ22−2ζ28−2ζ38−2ζ4−2ζ6−2ζ14−2ζ36ζ4+ζ6+2ζ12+ζ14+2ζ22+2ζ28+ζ36+2ζ38000000000000000000000000000000000000000000000000000000000000000000
χ1408-8−8i8i00−4+4i4−4i−4−4i4+4i00-2-2−2−253+53−5−2+2500222+25−3−5−3+52−252i2i4ζ6+4ζ14−4ζ6−4ζ14−2ζ22−2ζ38−2ζ6−2ζ14−4ζ22−4ζ384ζ22+4ζ38−2i−2i−4ζ6−4ζ144ζ6+4ζ14+2ζ22+2ζ382ζ6+2ζ14+4ζ22+4ζ38−4ζ22−4ζ380000000000001−i1−i2ζ4−2ζ6−2ζ14+2ζ36−2ζ4+2ζ6−ζ12+2ζ14+ζ22−ζ28−2ζ36+ζ38−ζ4+ζ6−2ζ12+ζ14+2ζ22−2ζ28−ζ36+2ζ382ζ12−2ζ22+2ζ28−2ζ38−1+i−1+i−2ζ4+2ζ6+2ζ14−2ζ362ζ4−2ζ6+ζ12−2ζ14−ζ22+ζ28+2ζ36−ζ38ζ4−ζ6+2ζ12−ζ14−2ζ22+2ζ28+ζ36−2ζ38−2ζ12+2ζ22−2ζ28+2ζ381+i1+i2ζ4+2ζ6+2ζ14+2ζ36−2ζ4−2ζ6−ζ12−2ζ14−ζ22−ζ28−2ζ36−ζ38−ζ4−ζ6−2ζ12−ζ14−2ζ22−2ζ28−ζ36−2ζ382ζ12+2ζ22+2ζ28+2ζ38−1−i−1−i−2ζ4−2ζ6−2ζ14−2ζ362ζ4+2ζ6+ζ12+2ζ14+ζ22+ζ28+2ζ36+ζ38ζ4+ζ6+2ζ12+ζ14+2ζ22+2ζ28+ζ36+2ζ38−2ζ12−2ζ22−2ζ28−2ζ38000000000000000000000000000000000000000000000000000000000000000000

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