Finite Group Databasebeta

← Group #13107644

Character table — Group #13107644

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size112222244445588888888810101010101010101010102020202020202020202025252525404050505050112222244445588888888810101010101010101010102020202020202020202025252525404050505050
order12255101051010104455101010101010102448888202020202020404040404040404088881020248822210101010101010104410101010101010101024488882020202020204040404040404040888810202488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111111-11-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-11-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111-1-11111111111-11ii−i−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i11111111111-1-11111111111-11ii−i−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i
χ611111111111-1-11111111111-11−i−iii-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−ii11111111111-1-11111111111-11−i−iii-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−ii
χ711111111111-1-1111111111-1-1-1ii−i−i-1-1-1-1-1-1iiii−i−i−i−i−i−iii-1-111−ii11111111111-1-1111111111-1-1-1ii−i−i-1-1-1-1-1-1iiii−i−i−i−i−i−iii-1-111−ii
χ811111111111-1-1111111111-1-1-1−i−iii-1-1-1-1-1-1−i−i−i−iiiiiii−i−i-1-111i−i11111111111-1-1111111111-1-1-1−i−iii-1-1-1-1-1-1−i−i−i−iiiiiii−i−i-1-111i−i
χ911-111111-1-111111-111-1-1-1-11-1-11-11-11111-1-111-1-111-1-111111-1-11-1-111-111111-1-111111-111-1-1-1-11-1-11-11-11111-1-111-1-111-1-111111-1-11-1-1
χ1011-111111-1-111111-111-1-1-1-11-1-1-11-111111-1-1-1-111-1-111-1-1-1-11-1-111111-111111-1-111111-111-1-1-1-11-1-1-11-111111-1-1-1-111-1-111-1-1-1-11-1-1111
χ1111-111111-1-111111-111-1-1-1-1-1-111-11-11111-1-111-1-111-1-1-1-1-1-1-111-11111-111111-1-111111-111-1-1-1-1-1-111-11-11111-1-111-1-111-1-1-1-1-1-1-111-111
χ1211-111111-1-111111-111-1-1-1-1-1-11-11-111111-1-1-1-111-1-1111111-111-1-1-111-111111-1-111111-111-1-1-1-1-1-11-11-111111-1-1-1-111-1-1111111-111-1-1-1
χ1311-111111-1-11-1-111-111-1-1-1-111-1i−i−ii-1-1-1-111ii−i−i−i−iiiii−i−i1-11-1−ii11-111111-1-11-1-111-111-1-1-1-111-1i−i−ii-1-1-1-111ii−i−i−i−iiiii−i−i1-11-1−ii
χ1411-111111-1-11-1-111-111-1-1-1-111-1−iii−i-1-1-1-111−i−iiiii−i−i−i−iii1-11-1i−i11-111111-1-11-1-111-111-1-1-1-111-1−iii−i-1-1-1-111−i−iiiii−i−i−i−iii1-11-1i−i
χ1511-111111-1-11-1-111-111-1-1-1-1-111i−i−ii-1-1-1-111ii−i−i−i−iii−i−iii-11-11i−i11-111111-1-11-1-111-111-1-1-1-1-111i−i−ii-1-1-1-111ii−i−i−i−iii−i−iii-11-11i−i
χ1611-111111-1-11-1-111-111-1-1-1-1-111−iii−i-1-1-1-111−i−iiiii−i−iii−i−i-11-11−ii11-111111-1-11-1-111-111-1-1-1-1-111−iii−i-1-1-1-111−i−iiiii−i−iii−i−i-11-11−ii
χ17222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−520202222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−520202222−1+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
χ18222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52020-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52020-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000
χ19222−1+52−1−52−1+52−1−522−1+52−1−522-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−520-202i2i−2i−2i1−521−521+521+521−521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000222−1+52−1−52−1+52−1−522−1+52−1−522-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−520-202i2i−2i−2i1−521−521+521+521−521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000
χ20222−1+52−1−52−1+52−1−522−1+52−1−522-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−520-20−2i−2i2i2i1−521−521+521+521−521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000222−1+52−1−52−1+52−1−522−1+52−1−522-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−520-20−2i−2i2i2i1−521−521+521+521−521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000
χ21222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+520202222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+520202222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ22222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52020-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52020-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000
χ23222−1−52−1+52−1−52−1+522−1−52−1+522-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+520-202i2i−2i−2i1+521+521−521−521+521−52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380000000000222−1−52−1+52−1−52−1+522−1−52−1+522-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+520-202i2i−2i−2i1+521+521−521−521+521−52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380000000000
χ24222−1−52−1+52−1−52−1+522−1−52−1+522-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+520-20−2i−2i2i2i1+521+521−521−521+521−52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380000000000222−1−52−1+52−1−52−1+522−1−52−1+522-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+520-20−2i−2i2i2i1+521+521−521−521+521−52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380000000000
χ2522-2−1+52−1−52−1+52−1−5221−521+52222−1+52−1−52-2−1+52−1−521−521−521+521+520-202-22-2−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000022-2−1+52−1−52−1+52−1−5221−521+52222−1+52−1−52-2−1+52−1−521−521−521+521+520-202-22-2−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ2622-2−1+52−1−52−1+52−1−5221−521+52222−1+52−1−52-2−1+52−1−521−521−521+521+520-20-22-22−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000022-2−1+52−1−52−1+52−1−5221−521+52222−1+52−1−52-2−1+52−1−521−521−521+521+520-20-22-22−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ2722-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52-2−1+52−1−521−521−521+521+520202i−2i−2i2i1−521−521+521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000022-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52-2−1+52−1−521−521−521+521+520202i−2i−2i2i1−521−521+521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000
χ2822-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52-2−1+52−1−521−521−521+521+52020−2i2i2i−2i1−521−521+521+52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000022-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52-2−1+52−1−521−521−521+521+52020−2i2i2i−2i1−521−521+521+52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000
χ2922-2−1−52−1+52−1−52−1+5221+521−52222−1−52−1+52-2−1−52−1+521+521+521−521−520-202-22-2−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000022-2−1−52−1+52−1−52−1+5221+521−52222−1−52−1+52-2−1−52−1+521+521+521−521−520-202-22-2−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ3022-2−1−52−1+52−1−52−1+5221+521−52222−1−52−1+52-2−1−52−1+521+521+521−521−520-20-22-22−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000022-2−1−52−1+52−1−52−1+5221+521−52222−1−52−1+52-2−1−52−1+521+521+521−521−520-20-22-22−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ3122-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52-2−1−52−1+521+521+521−521−520202i−2i−2i2i1+521+521−521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000022-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52-2−1−52−1+521+521+521−521−520202i−2i−2i2i1+521+521−521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000000000
χ3222-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52-2−1−52−1+521+521+521−521−52020−2i2i2i−2i1+521+521−521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000022-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52-2−1−52−1+521+521+521−521−52020−2i2i2i−2i1+521+521−521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000000000
χ332-2022-2-2200-22i−2i220-2-2000000000002i−2i2i−2i0000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000002-2022-2-2200-22i−2i220-2-2000000000002i−2i2i−2i0000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000
χ342-2022-2-2200-22i−2i220-2-2000000000002i−2i2i−2i00000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000002-2022-2-2200-22i−2i220-2-2000000000002i−2i2i−2i00000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000
χ352-2022-2-2200-2−2i2i220-2-200000000000−2i2i−2i2i0000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000002-2022-2-2200-2−2i2i220-2-200000000000−2i2i−2i2i0000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000
χ362-2022-2-2200-2−2i2i220-2-200000000000−2i2i−2i2i00000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002-2022-2-2200-2−2i2i220-2-200000000000−2i2i−2i2i00000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000
χ374444444-144-100-1-1-1-1-1-1-1-1-14040000000000000000000000-1-100004444444-144-100-1-1-1-1-1-1-1-1-14040000000000000000000000-1-10000
χ384444444-144-100-1-1-1-1-1-1-1-1-1-40-400000000000000000000001100004444444-144-100-1-1-1-1-1-1-1-1-1-40-40000000000000000000000110000
χ3944-44444-1-4-4-100-1-11-1-1111140-40000000000000000000000-11000044-44444-1-4-4-100-1-11-1-1111140-40000000000000000000000-110000
χ4044-44444-1-4-4-100-1-11-1-11111-40400000000000000000000001-1000044-44444-1-4-4-100-1-11-1-11111-40400000000000000000000001-10000
χ414-40−1+5−1−51−51+5400-44i−4i−1+5−1−501−51+500000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000004-40−1+5−1−51−51+5400-44i−4i−1+5−1−501−51+500000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000
χ424-40−1+5−1−51−51+5400-4−4i4i−1+5−1−501−51+5000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000004-40−1+5−1−51−51+5400-4−4i4i−1+5−1−501−51+5000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000
χ434-40−1−5−1+51+51−5400-44i−4i−1−5−1+501+51−500000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000004-40−1−5−1+51+51−5400-44i−4i−1−5−1+501+51−500000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000
χ444-40−1−5−1+51+51−5400-4−4i4i−1−5−1+501+51−5000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000004-40−1−5−1+51+51−5400-4−4i4i−1−5−1+501+51−5000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000
χ45888−2+25−2−25−2+25−2−25-2−2+25−2−25-2001−521+52-21−521+521−521−521+521+520000000000000000000000000000000888−2+25−2−25−2+25−2−25-2−2+25−2−25-2001−521+52-21−521+521−521−521+521+520000000000000000000000000000000
χ46888−2−25−2+25−2−25−2+25-2−2−25−2+25-2001+521−52-21+521−521+521+521−521−520000000000000000000000000000000888−2−25−2+25−2−25−2+25-2−2−25−2+25-2001+521−52-21+521−521+521+521−521−520000000000000000000000000000000
χ4788-8−2+25−2−25−2+25−2−25-22−252+25-2001−521+5221−521+52−1+52−1+52−1−52−1−52000000000000000000000000000000088-8−2+25−2−25−2+25−2−25-22−252+25-2001−521+5221−521+52−1+52−1+52−1−52−1−520000000000000000000000000000000
χ4888-8−2−25−2+25−2−25−2+25-22+252−25-2001+521−5221+521−52−1−52−1−52−1+52−1+52000000000000000000000000000000088-8−2−25−2+25−2−25−2+25-22+252−25-2001+521−5221+521−52−1−52−1−52−1+52−1+520000000000000000000000000000000
χ498-8088-8-8-200200-2-2022000000000000000000000000000000000008-8088-8-8-200200-2-202200000000000000000000000000000000000
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χ98888−2+25−2−25−2+25−2−25-2−2+25−2−25-2001−521+52-21−521+521−521−521+521+520000000000000000000000000000000-8-8-82−252+252−252+2522−252+25200−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000
χ99888−2−25−2+25−2−25−2+25-2−2−25−2+25-2001+521−52-21+521−521+521+521−521−520000000000000000000000000000000-8-8-82+252−252+252−2522+252−25200−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000
χ10088-8−2+25−2−25−2+25−2−25-22−252+25-2001−521+5221−521+52−1+52−1+52−1−52−1−520000000000000000000000000000000-8-882−252+252−252+252−2+25−2−25200−1+52−1−52-2−1+52−1−521−521−521+521+520000000000000000000000000000000
χ10188-8−2−25−2+25−2−25−2+25-22+252−25-2001+521−5221+521−52−1−52−1−52−1+52−1+520000000000000000000000000000000-8-882+252−252+252−252−2−25−2+25200−1−52−1+52-2−1−52−1+521+521+521−521−520000000000000000000000000000000
χ1028-8088-8-8-200200-2-202200000000000000000000000000000000000-880-8-888200-200220-2-200000000000000000000000000000000000
χ1038-80−2+25−2−252−252+25-2002001−521+520−1+52−1−52−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ360000000000000000000000000000000-8802−252+25−2+25−2−25200-200−1+52−1−5201−521+522ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ360000000000000000000000000000000
χ1048-80−2+25−2−252−252+25-2002001−521+520−1+52−1−522ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ360000000000000000000000000000000-8802−252+25−2+25−2−25200-200−1+52−1−5201−521+52−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ360000000000000000000000000000000
χ1058-80−2−25−2+252+252−25-2002001+521−520−1−52−1+52−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ362ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ360000000000000000000000000000000-8802+252−25−2−25−2+25200-200−1−52−1+5201+521−52ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ360000000000000000000000000000000
χ1068-80−2−25−2+252+252−25-2002001+521−520−1−52−1+52ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ360000000000000000000000000000000-8802+252−25−2−25−2+25200-200−1−52−1+5201+521−52−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ362ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ360000000000000000000000000000000

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