Finite Group Databasebeta

← Group #14522731

Character table — Group #14522731

Order 2000.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122224444444444551010101025252525224444888888888810102020202050505050224444888888888810102020202050505050551010101020202020202020202020252550505050125125125125
order1255101055555101010101044202020208888510551010555551010101010202020202020404040405105510105555510101010102020202020204040404022101010101010101010101010101044202020208888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1
χ31111111111111111-1-1-1-1-1-1ii−i−i1111111111111111-1-1-1-1-1-1ii−i−i1111111111111111-1-1-1-1-1-1ii−i−i1111111111111111-1-1-1-1-1-1ii−i−i
χ41111111111111111-1-1-1-1-1-1−i−iii1111111111111111-1-1-1-1-1-1−i−iii1111111111111111-1-1-1-1-1-1−i−iii1111111111111111-1-1-1-1-1-1−i−iii
χ51-111-1-111111-1-1-1-1-1i−iii−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ391-111-1-111111-1-1-1-1-1i−iii−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ391-111-1-111111-1-1-1-1-1i−iii−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ391-111-1-111111-1-1-1-1-1i−iii−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39
χ61-111-1-111111-1-1-1-1-1i−iii−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ391-111-1-111111-1-1-1-1-1i−iii−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ391-111-1-111111-1-1-1-1-1i−iii−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ391-111-1-111111-1-1-1-1-1i−iii−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39
χ71-111-1-111111-1-1-1-1-1−ii−i−iii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ371-111-1-111111-1-1-1-1-1−ii−i−iii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ371-111-1-111111-1-1-1-1-1−ii−i−iii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ371-111-1-111111-1-1-1-1-1−ii−i−iii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37
χ81-111-1-111111-1-1-1-1-1−ii−i−iiiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ371-111-1-111111-1-1-1-1-1−ii−i−iiiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ371-111-1-111111-1-1-1-1-1−ii−i−iiiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ371-111-1-111111-1-1-1-1-1−ii−i−iiiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37
χ922−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52000022−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52000022−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52000022−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−520000
χ1022−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-21−521+521−521+52000022−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-21−521+521−521+52000022−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-21−521+521−521+52000022−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-21−521+521−521+520000
χ1122−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52000022−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52000022−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52000022−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+520000
χ1222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-21+521−521+521−52000022−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-21+521−521+521−52000022−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-21+521−521+521−52000022−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-21+521−521+521−520000
χ132-2−1+52−1−521−521+522−1+52−1+52−1−52−1−52-21−521−521+521+522i−2i−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ1400002-2−1+52−1−521−521+522−1+52−1+52−1−52−1−52-21−521−521+521+522i−2i−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ1400002-2−1+52−1−521−521+522−1+52−1+52−1−52−1−52-21−521−521+521+522i−2i−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ1400002-2−1+52−1−521−521+522−1+52−1+52−1−52−1−52-21−521−521+521+522i−2i−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000
χ142-2−1+52−1−521−521+522−1+52−1+52−1−52−1−52-21−521−521+521+52−2i2iζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400002-2−1+52−1−521−521+522−1+52−1+52−1−52−1−52-21−521−521+521+52−2i2iζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400002-2−1+52−1−521−521+522−1+52−1+52−1−52−1−52-21−521−521+521+52−2i2iζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400002-2−1+52−1−521−521+522−1+52−1+52−1−52−1−52-21−521−521+521+52−2i2iζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000
χ152-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−522i−2i−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800002-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−522i−2i−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800002-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−522i−2i−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800002-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−522i−2i−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000
χ162-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−52−2i2iζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800002-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−52−2i2iζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800002-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−52−2i2iζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800002-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−52−2i2iζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000
χ17444444-1-1-1-1-1-1-1-1-1-10000000000444444-1-1-1-1-1-1-1-1-1-10000000000444444-1-1-1-1-1-1-1-1-1-10000000000444444-1-1-1-1-1-1-1-1-1-10000000000
χ1844−1+5−1−5−1+5−1−5-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ28-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ28000000000044−1+5−1−5−1+5−1−5-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ28-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ28000000000044−1+5−1−5−1+5−1−5-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ28-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ28000000000044−1+5−1−5−1+5−1−5-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ28-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ280000000000
χ1944−1+5−1−5−1+5−1−5-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ36-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ36000000000044−1+5−1−5−1+5−1−5-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ36-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ36000000000044−1+5−1−5−1+5−1−5-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ36-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ36000000000044−1+5−1−5−1+5−1−5-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ36-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ360000000000
χ2044−1−5−1+5−1−5−1+5-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ36-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ36000000000044−1−5−1+5−1−5−1+5-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ36-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ36000000000044−1−5−1+5−1−5−1+5-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ36-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ36000000000044−1−5−1+5−1−5−1+5-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ36-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ360000000000
χ2144−1−5−1+5−1−5−1+5-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ36-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ36000000000044−1−5−1+5−1−5−1+5-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ36-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ36000000000044−1−5−1+5−1−5−1+5-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ36-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ36000000000044−1−5−1+5−1−5−1+5-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ36-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ360000000000
χ224-444-4-4-1-1-1-1-11111100000000004-444-4-4-1-1-1-1-11111100000000004-444-4-4-1-1-1-1-11111100000000004-444-4-4-1-1-1-1-1111110000000000
χ234-4−1+5−1−51−51+5-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ281ζ4−ζ28−ζ36−ζ4−ζ12+ζ36−ζ12+ζ28−ζ36−ζ4+ζ12−ζ2800000000004-4−1+5−1−51−51+5-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ281ζ4−ζ28−ζ36−ζ4−ζ12+ζ36−ζ12+ζ28−ζ36−ζ4+ζ12−ζ2800000000004-4−1+5−1−51−51+5-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ281ζ4−ζ28−ζ36−ζ4−ζ12+ζ36−ζ12+ζ28−ζ36−ζ4+ζ12−ζ2800000000004-4−1+5−1−51−51+5-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ281ζ4−ζ28−ζ36−ζ4−ζ12+ζ36−ζ12+ζ28−ζ36−ζ4+ζ12−ζ280000000000
χ244-4−1+5−1−51−51+5-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ361−ζ4−ζ12+ζ36ζ4−ζ28−ζ36−ζ4+ζ12−ζ28−ζ12+ζ28−ζ3600000000004-4−1+5−1−51−51+5-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ361−ζ4−ζ12+ζ36ζ4−ζ28−ζ36−ζ4+ζ12−ζ28−ζ12+ζ28−ζ3600000000004-4−1+5−1−51−51+5-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ361−ζ4−ζ12+ζ36ζ4−ζ28−ζ36−ζ4+ζ12−ζ28−ζ12+ζ28−ζ3600000000004-4−1+5−1−51−51+5-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ361−ζ4−ζ12+ζ36ζ4−ζ28−ζ36−ζ4+ζ12−ζ28−ζ12+ζ28−ζ360000000000
χ254-4−1−5−1+51+51−5-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ361−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28−ζ4−ζ12+ζ36ζ4−ζ28−ζ3600000000004-4−1−5−1+51+51−5-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ361−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28−ζ4−ζ12+ζ36ζ4−ζ28−ζ3600000000004-4−1−5−1+51+51−5-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ361−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28−ζ4−ζ12+ζ36ζ4−ζ28−ζ3600000000004-4−1−5−1+51+51−5-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ361−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28−ζ4−ζ12+ζ36ζ4−ζ28−ζ360000000000
χ264-4−1−5−1+51+51−5-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ361−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36ζ4−ζ28−ζ36−ζ4−ζ12+ζ3600000000004-4−1−5−1+51+51−5-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ361−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36ζ4−ζ28−ζ36−ζ4−ζ12+ζ3600000000004-4−1−5−1+51+51−5-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ361−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36ζ4−ζ28−ζ36−ζ4−ζ12+ζ3600000000004-4−1−5−1+51+51−5-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ361−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36ζ4−ζ28−ζ36−ζ4−ζ12+ζ360000000000
χ27111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ291111111111111111-1-1-1-1-1-1ii−i−i1111111111111111-1-1-1-1-1-1ii−i−i1111111111111111-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iii
χ301111111111111111-1-1-1-1-1-1−i−iii1111111111111111-1-1-1-1-1-1−i−iii1111111111111111-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i
χ311-111-1-111111-1-1-1-1-1i−iii−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ391-111-1-111111-1-1-1-1-1i−iii−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ391-111-1-111111-1-1-1-1-1i−iii−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39-11-1-111-1-1-1-1-111111−ii−i−iiiζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39
χ321-111-1-111111-1-1-1-1-1i−iii−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ391-111-1-111111-1-1-1-1-1i−iii−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ391-111-1-111111-1-1-1-1-1i−iii−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39-11-1-111-1-1-1-1-111111−ii−i−iii−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39
χ331-111-1-111111-1-1-1-1-1−ii−i−iii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ371-111-1-111111-1-1-1-1-1−ii−i−iii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ371-111-1-111111-1-1-1-1-1−ii−i−iii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37-11-1-111-1-1-1-1-111111i−iii−i−iζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37
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χ412-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−522i−2i−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800002-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−522i−2i−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800002-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−522i−2i−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000-221+521−52−1−52−1+52-21+521+521−521−522−1−52−1−52−1+52−1+52−2i2iζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000
χ422-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−52−2i2iζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800002-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−52−2i2iζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800002-2−1−52−1+521+521−522−1−52−1−52−1+52−1+52-21+521+521−521−52−2i2iζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000-221+521−52−1−52−1+52-21+521+521−521−522−1−52−1−52−1+52−1+522i−2i−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000
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χ914-4−1+5−1−51−51+54−1+5−1+5−1−5−1−5-41−51−51+51+54i−4i−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ140000−1−51+5-13+521−3−52−1−5-1-13+523+521+511−3−52−3−52−2ζ6−2ζ142ζ6+2ζ14−i2ζ6+2ζ14+ζ22+ζ38i−2ζ6−2ζ14−ζ22−ζ380000−1+51−53−52-1−3+521−1+53−523−52-1-11−5−3+52−3+5211−2ζ22−2ζ382ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−i−ζ6−ζ14−2ζ22−2ζ38i000000000000000000000000000000
χ924-4−1+5−1−51−51+54−1+5−1+5−1−5−1−5-41−51−51+51+5−4i4i2ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ140000−1−51+5-13+521−3−52−1−5-1-13+523+521+511−3−52−3−522ζ6+2ζ14−2ζ6−2ζ14i−2ζ6−2ζ14−ζ22−ζ38−i2ζ6+2ζ14+ζ22+ζ380000−1+51−53−52-1−3+521−1+53−523−52-1-11−5−3+52−3+52112ζ22+2ζ38−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38iζ6+ζ14+2ζ22+2ζ38−i000000000000000000000000000000
χ934-4−1−5−1+51+51−54−1−5−1−5−1+5−1+5-41+51+51−51−54i−4i−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ380000−1−51+53+52-1−3−521−1−53+523+52-1-11+5−3−52−3−5211−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14+ζ22+ζ38−i−2ζ6−2ζ14−ζ22−ζ38i0000−1+51−5-13−521−3+52−1+5-1-13−523−521−511−3+52−3+52−2ζ22−2ζ382ζ22+2ζ38−iζ6+ζ14+2ζ22+2ζ38i−ζ6−ζ14−2ζ22−2ζ38000000000000000000000000000000
χ944-4−1−5−1+51+51−54−1−5−1−5−1+5−1+5-41+51+51−51−5−4i4i2ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ380000−1−51+53+52-1−3−521−1−53+523+52-1-11+5−3−52−3−52112ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14−ζ22−ζ38i2ζ6+2ζ14+ζ22+ζ38−i0000−1+51−5-13−521−3+52−1+5-1-13−523−521−511−3+52−3+522ζ22+2ζ38−2ζ22−2ζ38i−ζ6−ζ14−2ζ22−2ζ38−iζ6+ζ14+2ζ22+2ζ38000000000000000000000000000000
χ95888888-2-2-2-2-2-2-2-2-2-20000000000−2−25−2−25−2−25−2−25−2−25−2−251+521+521+521+521+521+521+521+521+521+520000000000−2+25−2+25−2+25−2+25−2+25−2+251−521−521−521−521−521−521−521−521−521−52000000000000000000000000000000000000
χ9688−2+25−2−25−2+25−2−25-2−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28-2−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ280000000000−2−25−2−25-23+5-23+51+52ζ4+2ζ12−ζ28−ζ12+2ζ28+ζ36−2ζ4−ζ12−ζ28−2ζ361+52ζ4+2ζ12−ζ28−ζ12+2ζ28+ζ36−2ζ4−ζ12−ζ28−2ζ360000000000−2+25−2+253−5-23−5-21−52−2ζ12−ζ36−ζ4−2ζ282ζ4+ζ28−ζ36−ζ4+ζ12+2ζ361−52−2ζ12−ζ36−ζ4−2ζ282ζ4+ζ28−ζ36−ζ4+ζ12+2ζ36000000000000000000000000000000000000
χ9788−2+25−2−25−2+25−2−25-22ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36-22ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ360000000000−2−25−2−25-23+5-23+51+52−ζ12+2ζ28+ζ36ζ4+2ζ12−ζ28−ζ28−2ζ36−2ζ4−ζ121+52−ζ12+2ζ28+ζ36ζ4+2ζ12−ζ28−ζ28−2ζ36−2ζ4−ζ120000000000−2+25−2+253−5-23−5-21−52−ζ4−2ζ28−2ζ12−ζ36−ζ4+ζ12+2ζ362ζ4+ζ28−ζ361−52−ζ4−2ζ28−2ζ12−ζ36−ζ4+ζ12+2ζ362ζ4+ζ28−ζ36000000000000000000000000000000000000
χ9888−2−25−2+25−2−25−2+25-22ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ36-22ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ360000000000−2−25−2−253+5-23+5-21+52−2ζ4−ζ12−ζ28−2ζ36−ζ12+2ζ28+ζ36ζ4+2ζ12−ζ281+52−2ζ4−ζ12−ζ28−2ζ36−ζ12+2ζ28+ζ36ζ4+2ζ12−ζ280000000000−2+25−2+25-23−5-23−51−522ζ4+ζ28−ζ36−ζ4+ζ12+2ζ36−ζ4−2ζ28−2ζ12−ζ361−522ζ4+ζ28−ζ36−ζ4+ζ12+2ζ36−ζ4−2ζ28−2ζ12−ζ36000000000000000000000000000000000000
χ9988−2−25−2+25−2−25−2+25-22ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ36-22ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ360000000000−2−25−2−253+5-23+5-21+52−ζ28−2ζ36−2ζ4−ζ12ζ4+2ζ12−ζ28−ζ12+2ζ28+ζ361+52−ζ28−2ζ36−2ζ4−ζ12ζ4+2ζ12−ζ28−ζ12+2ζ28+ζ360000000000−2+25−2+25-23−5-23−51−52−ζ4+ζ12+2ζ362ζ4+ζ28−ζ36−2ζ12−ζ36−ζ4−2ζ281−52−ζ4+ζ12+2ζ362ζ4+ζ28−ζ36−2ζ12−ζ36−ζ4−2ζ28000000000000000000000000000000000000
χ1008-888-8-8-2-2-2-2-2222220000000000−2−252+25−2−25−2−252+252+251+521+521+521+521+52−1−52−1−52−1−52−1−52−1−520000000000−2+252−25−2+25−2+252−252−251−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52000000000000000000000000000000000000
χ1018-8−2+25−2−252−252+25-2−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ2822ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ36−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ280000000000−2−252+25-23+52−3−51+52ζ4+2ζ12−ζ28−ζ12+2ζ28+ζ36−2ζ4−ζ12−ζ28−2ζ36−1−52−ζ4−2ζ12+ζ28ζ12−2ζ28−ζ362ζ4+ζ12ζ28+2ζ360000000000−2+252−253−5-2−3+521−52−2ζ12−ζ36−ζ4−2ζ282ζ4+ζ28−ζ36−ζ4+ζ12+2ζ36−1+522ζ12+ζ36ζ4+2ζ28−2ζ4−ζ28+ζ36ζ4−ζ12−2ζ36000000000000000000000000000000000000
χ1028-8−2+25−2−252−252+25-22ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ362−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ360000000000−2−252+25-23+52−3−51+52−ζ12+2ζ28+ζ36ζ4+2ζ12−ζ28−ζ28−2ζ36−2ζ4−ζ12−1−52ζ12−2ζ28−ζ36−ζ4−2ζ12+ζ28ζ28+2ζ362ζ4+ζ120000000000−2+252−253−5-2−3+521−52−ζ4−2ζ28−2ζ12−ζ36−ζ4+ζ12+2ζ362ζ4+ζ28−ζ36−1+52ζ4+2ζ282ζ12+ζ36ζ4−ζ12−2ζ36−2ζ4−ζ28+ζ36000000000000000000000000000000000000
χ1038-8−2−25−2+252+252−25-22ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ362−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ360000000000−2−252+253+5-2−3−521+52−2ζ4−ζ12−ζ28−2ζ36−ζ12+2ζ28+ζ36ζ4+2ζ12−ζ28−1−522ζ4+ζ12ζ28+2ζ36ζ12−2ζ28−ζ36−ζ4−2ζ12+ζ280000000000−2+252−25-23−52−3+51−522ζ4+ζ28−ζ36−ζ4+ζ12+2ζ36−ζ4−2ζ28−2ζ12−ζ36−1+52−2ζ4−ζ28+ζ36ζ4−ζ12−2ζ36ζ4+2ζ282ζ12+ζ36000000000000000000000000000000000000
χ1048-8−2−25−2+252+252−25-22ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ362−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ362ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ360000000000−2−252+253+5-2−3−521+52−ζ28−2ζ36−2ζ4−ζ12ζ4+2ζ12−ζ28−ζ12+2ζ28+ζ36−1−52ζ28+2ζ362ζ4+ζ12−ζ4−2ζ12+ζ28ζ12−2ζ28−ζ360000000000−2+252−25-23−52−3+51−52−ζ4+ζ12+2ζ362ζ4+ζ28−ζ36−2ζ12−ζ36−ζ4−2ζ28−1+52ζ4−ζ12−2ζ36−2ζ4−ζ28+ζ362ζ12+ζ36ζ4+2ζ28000000000000000000000000000000000000

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