Finite Group Databasebeta

← Group #13107608

Character table — Group #13107608

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size112222244445588888888810101010101010101010102020202020202020202025252525404050505050112222244445588888888810101010101010101010102020202020202020202025252525404050505050
order12455101051020204455101020202020202448888202020201010404040404040404088882020228822410101010101020204410101010202020202024488882020202010104040404040404040888820202288
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
χ311111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111-1-1111111111-111ii−i−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i11111111111-1-1111111111-111ii−i−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i
χ611111111111-1-1111111111-111−i−iii-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−ii11111111111-1-1111111111-111−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
χ911-1111111-1-1111111-1-1-1-1-1-11-11-11-11111-1-111-1-111-1-111111-11-1-1-111-1111111-1-1111111-1-1-1-1-1-11-11-11-11111-1-111-1-111-1-111111-11-1-1-1
χ1011-1111111-1-1111111-1-1-1-1-1-11-1-11-111111-1-1-1-111-1-111-1-1-1-11-11-11111-1111111-1-1111111-1-1-1-1-1-11-1-11-111111-1-1-1-111-1-111-1-1-1-11-11-111
χ1111-1111111-1-1111111-1-1-1-1-1-1-111-11-11111-1-111-1-111-1-1-1-1-1-1-11-111111-1111111-1-1111111-1-1-1-1-1-1-111-11-11111-1-111-1-111-1-1-1-1-1-1-11-1111
χ1211-1111111-1-1111111-1-1-1-1-1-1-11-11-111111-1-1-1-111-1-1111111-11-11-1-111-1111111-1-1111111-1-1-1-1-1-1-11-11-111111-1-1-1-111-1-1111111-11-11-1-1
χ1311-1111111-1-1-1-11111-1-1-1-1-111-1i−i−ii-1-1-1-111ii−i−i−i−iiiii−i−i1-1-11−ii11-1111111-1-1-1-11111-1-1-1-1-111-1i−i−ii-1-1-1-111ii−i−i−i−iiiii−i−i1-1-11−ii
χ1411-1111111-1-1-1-11111-1-1-1-1-111-1−iii−i-1-1-1-111−i−iiiii−i−i−i−iii1-1-11i−i11-1111111-1-1-1-11111-1-1-1-1-111-1−iii−i-1-1-1-111−i−iiiii−i−i−i−iii1-1-11i−i
χ1511-1111111-1-1-1-11111-1-1-1-1-11-11i−i−ii-1-1-1-111ii−i−i−i−iii−i−iii-111-1i−i11-1111111-1-1-1-11111-1-1-1-1-11-11i−i−ii-1-1-1-111ii−i−i−i−iii−i−iii-111-1i−i
χ1611-1111111-1-1-1-11111-1-1-1-1-11-11−iii−i-1-1-1-111−i−iiiii−i−iii−i−i-111-1−ii11-1111111-1-1-1-11111-1-1-1-1-11-11−iii−i-1-1-1-111−i−iiiii−i−iii−i−i-111-1−ii
χ17222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522002222−1+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+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522002222−1+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+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52200-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52200-2-2-2-2−1+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+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-2002i2i−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+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-2002i2i−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+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-200−2i−2i2i2i1−521−521+521+521−521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-200−2i−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+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522002222−1−52−1−52−1+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+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522002222−1−52−1−52−1+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+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52200-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52200-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000
χ23222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-2002i2i−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+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-2002i2i−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+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-200−2i−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+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-200−2i−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+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2002-22-2−1+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+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2002-22-2−1+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+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-200-22-22−1+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+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-200-22-22−1+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+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+522002i−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+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+522002i−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+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+52200−2i2i2i−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+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+52200−2i2i2i−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+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2002-22-2−1−52−1−52−1+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+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2002-22-2−1−52−1−52−1+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+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-200-22-22−1−52−1−52−1+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+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-200-22-22−1−52−1−52−1+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+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−522002i−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+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−522002i−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+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−52200−2i2i2i−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+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−52200−2i2i2i−2i1+521+521−521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000000000
χ332-2022-2-22-2002i−2i22-2-20000000000002i−2i2i−2i0000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000002-2022-2-22-2002i−2i22-2-20000000000002i−2i2i−2i0000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000
χ342-2022-2-22-2002i−2i22-2-20000000000002i−2i2i−2i00000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002-2022-2-22-2002i−2i22-2-20000000000002i−2i2i−2i00000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000
χ352-2022-2-22-200−2i2i22-2-2000000000000−2i2i−2i2i0000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000002-2022-2-22-200−2i2i22-2-2000000000000−2i2i−2i2i0000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000
χ362-2022-2-22-200−2i2i22-2-2000000000000−2i2i−2i2i00000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000002-2022-2-22-200−2i2i22-2-2000000000000−2i2i−2i2i00000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000
χ374444444-1-14400-1-1-1-1-1-1-1-1-10440000000000000000000000-1-100004444444-1-14400-1-1-1-1-1-1-1-1-10440000000000000000000000-1-10000
χ384444444-1-14400-1-1-1-1-1-1-1-1-10-4-400000000000000000000001100004444444-1-14400-1-1-1-1-1-1-1-1-10-4-40000000000000000000000110000
χ3944-44444-1-1-4-400-1-1-1-11111104-40000000000000000000000-11000044-44444-1-1-4-400-1-1-1-11111104-40000000000000000000000-110000
χ4044-44444-1-1-4-400-1-1-1-1111110-4400000000000000000000001-1000044-44444-1-1-4-400-1-1-1-1111110-4400000000000000000000001-10000
χ414-40−1+5−1−51−51+54-4004i−4i−1+5−1−51−51+5000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000004-40−1+5−1−51−51+54-4004i−4i−1+5−1−51−51+5000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000
χ424-40−1+5−1−51−51+54-400−4i4i−1+5−1−51−51+50000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000004-40−1+5−1−51−51+54-400−4i4i−1+5−1−51−51+50000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000
χ434-40−1−5−1+51+51−54-4004i−4i−1−5−1+51+51−5000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000004-40−1−5−1+51+51−54-4004i−4i−1−5−1+51+51−5000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000
χ444-40−1−5−1+51+51−54-400−4i4i−1−5−1+51+51−50000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000004-40−1−5−1+51+51−54-400−4i4i−1−5−1+51+51−50000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000
χ45888−2+25−2−25−2+25−2−25-2-2−2+25−2−25001−521+521−521+52-21−521−521+521+520000000000000000000000000000000888−2+25−2−25−2+25−2−25-2-2−2+25−2−25001−521+521−521+52-21−521−521+521+520000000000000000000000000000000
χ46888−2−25−2+25−2−25−2+25-2-2−2−25−2+25001+521−521+521−52-21+521+521−521−520000000000000000000000000000000888−2−25−2+25−2−25−2+25-2-2−2−25−2+25001+521−521+521−52-21+521+521−521−520000000000000000000000000000000
χ4788-8−2+25−2−25−2+25−2−25-2-22−252+25001−521+521−521+522−1+52−1+52−1−52−1−52000000000000000000000000000000088-8−2+25−2−25−2+25−2−25-2-22−252+25001−521+521−521+522−1+52−1+52−1−52−1−520000000000000000000000000000000
χ4888-8−2−25−2+25−2−25−2+25-2-22+252−25001+521−521+521−522−1−52−1−52−1+52−1+52000000000000000000000000000000088-8−2−25−2+25−2−25−2+25-2-22+252−25001+521−521+521−522−1−52−1−52−1+52−1+520000000000000000000000000000000
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χ508-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ3800000000000000000000000000000008-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ380000000000000000000000000000000
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χ98888−2+25−2−25−2+25−2−25-2-2−2+25−2−25001−521+521−521+52-21−521−521+521+520000000000000000000000000000000-8-8-82−252+252−252+25222−252+2500−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−520000000000000000000000000000000
χ99888−2−25−2+25−2−25−2+25-2-2−2−25−2+25001+521−521+521−52-21+521+521−521−520000000000000000000000000000000-8-8-82+252−252+252−25222+252−2500−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+520000000000000000000000000000000
χ10088-8−2+25−2−25−2+25−2−25-2-22−252+25001−521+521−521+522−1+52−1+52−1−52−1−520000000000000000000000000000000-8-882−252+252−252+2522−2+25−2−2500−1+52−1−52−1+52−1−52-21−521−521+521+520000000000000000000000000000000
χ10188-8−2−25−2+25−2−25−2+25-2-22+252−25001+521−521+521−522−1−52−1−52−1+52−1+520000000000000000000000000000000-8-882+252−252+252−2522−2−25−2+2500−1−52−1+52−1−52−1+52-21+521+521−521−520000000000000000000000000000000
χ1028-8088-8-8-220000-2-222000000000000000000000000000000000000-880-8-8882-2000022-2-2000000000000000000000000000000000000
χ1038-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ380000000000000000000000000000000-8802−252+25−2+25−2−252-20000−1+52−1−521−521+520−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ380000000000000000000000000000000
χ1048-80−2+25−2−252−252+25-2200001−521+52−1+52−1−520−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ380000000000000000000000000000000-8802−252+25−2+25−2−252-20000−1+52−1−521−521+5202ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ380000000000000000000000000000000
χ1058-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ380000000000000000000000000000000-8802+252−25−2−25−2+252-20000−1−52−1+521+521−520ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ380000000000000000000000000000000
χ1068-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ380000000000000000000000000000000-8802+252−25−2−25−2+252-20000−1−52−1+521+521−520−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ380000000000000000000000000000000

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