Finite Group Databasebeta

← Group #13107614

Character table — Group #13107614

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size112222244445588888888810101010101010101010102020202020202020202025252525404050505050112222244445588888888810101010101010101010102020202020202020202025252525404050505050
order12455101051020202255101020202020202244444101010102020202020202020202044441010224422410101010101020202210101010202020202022444441010101020202020202020202020444410102244
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
χ31111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111-1-111111111111-1ii−i−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i11111111111-1-111111111111-1ii−i−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i
χ611111111111-1-111111111111-1−i−iii-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−ii11111111111-1-111111111111-1−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
χ911-1111111-1-1111111-1-1-1-1-11-1-11-11-11111-1-111-1-111-1-111111-11-1-1-111-1111111-1-1111111-1-1-1-1-11-1-11-11-11111-1-111-1-111-1-111111-11-1-1-1
χ1011-1111111-1-1111111-1-1-1-1-11-1-1-11-111111-1-1-1-111-1-111-1-1-1-11-11-11111-1111111-1-1111111-1-1-1-1-11-1-1-11-111111-1-1-1-111-1-111-1-1-1-11-11-111
χ1111-1111111-1-1111111-1-1-1-1-1-11-11-11-11111-1-111-1-111-1-1-1-1-1-1-11-111111-1111111-1-1111111-1-1-1-1-1-11-11-11-11111-1-111-1-111-1-1-1-1-1-1-11-1111
χ1211-1111111-1-1111111-1-1-1-1-1-11-1-11-111111-1-1-1-111-1-1111111-11-11-1-111-1111111-1-1111111-1-1-1-1-1-11-1-11-111111-1-1-1-111-1-1111111-11-11-1-1
χ1311-1111111-1-1-1-11111-1-1-1-1-11-11i−i−ii-1-1-1-111ii−i−i−i−iiiii−i−i1-1-11−ii11-1111111-1-1-1-11111-1-1-1-1-11-11i−i−ii-1-1-1-111ii−i−i−i−iiiii−i−i1-1-11−ii
χ1411-1111111-1-1-1-11111-1-1-1-1-11-11−iii−i-1-1-1-111−i−iiiii−i−i−i−iii1-1-11i−i11-1111111-1-1-1-11111-1-1-1-1-11-11−iii−i-1-1-1-111−i−iiiii−i−i−i−iii1-1-11i−i
χ1511-1111111-1-1-1-11111-1-1-1-1-1-111i−i−ii-1-1-1-111ii−i−i−i−iii−i−iii-111-1i−i11-1111111-1-1-1-11111-1-1-1-1-1-111i−i−ii-1-1-1-111ii−i−i−i−iii−i−iii-111-1i−i
χ1611-1111111-1-1-1-11111-1-1-1-1-1-111−iii−i-1-1-1-111−i−iiiii−i−iii−i−i-111-1−ii11-1111111-1-1-1-11111-1-1-1-1-1-111−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+52−1−52−1−520022222−1+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+52−1−52−1−520022222−1+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+52−1−52−1−52002-2-2-2-2−1+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+52−1−52−1−52002-2-2-2-2−1+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+52−1−52−1−5200-22i2i−2i−2i1−521+521−521+521−521+52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000000222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−5200-22i2i−2i−2i1−521+521−521+521−521+52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000000
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+52−1−52−1−5200-2−2i−2i2i2i1−521+521−521+521−521+52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−5200-2−2i−2i2i2i1−521+521−521+521−521+52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000
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+520022222−1−52−1+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+520022222−1−52−1+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+52002-2-2-2-2−1−52−1+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+52002-2-2-2-2−1−52−1+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+5200-22i2i−2i−2i1+521−521+521−521+521−52−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190000000000222−1−52−1+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+5200-22i2i−2i−2i1+521−521+521−521+521−52−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190000000000
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+5200-2−2i−2i2i2i1+521−521+521−521+521−52ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000000222−1−52−1+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+5200-2−2i−2i2i2i1+521−521+521−521+521−52ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000000
χ2522-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+5200-22-22-2−1+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+5200-22-22-2−1+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+5200-2-22-22−1+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+5200-2-22-22−1+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+520022i−2i−2i2i1−521+521−521+52−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000022-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+520022i−2i−2i2i1−521+521−521+52−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000000000
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+52002−2i2i2i−2i1−521+521−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000022-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+52002−2i2i2i−2i1−521+521−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000000000
χ2922-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−5200-22-22-2−1−52−1+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+521−521−5200-22-22-2−1−52−1+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+521−521−5200-2-22-22−1−52−1+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+521−521−5200-2-22-22−1−52−1+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+521−521−520022i−2i−2i2i1+521−521+521−52−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000022-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−520022i−2i−2i2i1+521−521+521−52−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000000000
χ3222-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−52002−2i2i2i−2i1+521−521+521−52−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000022-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−52002−2i2i2i−2i1+521−521+521−52−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000000000
χ332-2022-2-22-2002-222-2-200000000000022-2-200000000002i−2i2i−2i0000002-2022-2-22-2002-222-2-200000000000022-2-200000000002i−2i2i−2i000000
χ342-2022-2-22-2002-222-2-200000000000022-2-20000000000−2i2i−2i2i0000002-2022-2-22-2002-222-2-200000000000022-2-20000000000−2i2i−2i2i000000
χ352-2022-2-22-200-2222-2-2000000000000-2-22200000000002-2-220000002-2022-2-22-200-2222-2-2000000000000-2-22200000000002-2-22000000
χ362-2022-2-22-200-2222-2-2000000000000-2-2220000000000-222-20000002-2022-2-22-200-2222-2-2000000000000-2-2220000000000-222-2000000
χ374444444-1-14400-1-1-1-1-1-1-1-1-14400000000000000000000000-1-100004444444-1-14400-1-1-1-1-1-1-1-1-14400000000000000000000000-1-10000
χ384444444-1-14400-1-1-1-1-1-1-1-1-1-4-4000000000000000000000001100004444444-1-14400-1-1-1-1-1-1-1-1-1-4-400000000000000000000000110000
χ3944-44444-1-1-4-400-1-1-1-1111114-400000000000000000000000-11000044-44444-1-1-4-400-1-1-1-1111114-400000000000000000000000-110000
χ4044-44444-1-1-4-400-1-1-1-111111-44000000000000000000000001-1000044-44444-1-1-4-400-1-1-1-111111-44000000000000000000000001-10000
χ414-40−1+5−1−51−51+54-4004-4−1+5−1−51−51+5000000000000−1+5−1−51−51+5000000000000000000004-40−1+5−1−51−51+54-4004-4−1+5−1−51−51+5000000000000−1+5−1−51−51+500000000000000000000
χ424-40−1+5−1−51−51+54-400-44−1+5−1−51−51+50000000000001−51+5−1+5−1−5000000000000000000004-40−1+5−1−51−51+54-400-44−1+5−1−51−51+50000000000001−51+5−1+5−1−500000000000000000000
χ434-40−1−5−1+51+51−54-4004-4−1−5−1+51+51−5000000000000−1−5−1+51+51−5000000000000000000004-40−1−5−1+51+51−54-4004-4−1−5−1+51+51−5000000000000−1−5−1+51+51−500000000000000000000
χ444-40−1−5−1+51+51−54-400-44−1−5−1+51+51−50000000000001+51−5−1−5−1+5000000000000000000004-40−1−5−1+51+51−54-400-44−1−5−1+51+51−50000000000001+51−5−1−5−1+500000000000000000000
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
χ498-8088-8-8-220000-2-2220000000000000000000000000000000000008-8088-8-8-220000-2-222000000000000000000000000000000000000
χ508-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ1900000000000000000000000000000008-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ190000000000000000000000000000000
χ518-80−2+25−2−252−252+25-2200001−521+52−1+52−1−520−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ1900000000000000000000000000000008-80−2+25−2−252−252+25-2200001−521+52−1+52−1−520−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ190000000000000000000000000000000
χ528-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ1900000000000000000000000000000008-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ190000000000000000000000000000000
χ538-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ1900000000000000000000000000000008-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ190000000000000000000000000000000
χ5411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ551111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-111
χ561111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ571111111111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ5811111111111-1-111111111111-1ii−i−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11−i−iii111111−i−i−i−iiiii−i−iii-1-111−ii
χ5911111111111-1-111111111111-1−i−iii-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−ii-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11ii−i−i111111iiii−i−i−i−iii−i−i-1-111i−i
χ6011111111111-1-1111111111-1-1-1ii−i−i-1-1-1-1-1-1iiii−i−i−i−i−i−iii-1-111−ii-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111−i−iii111111−i−i−i−iiiiiii−i−i11-1-1i−i
χ6111111111111-1-1111111111-1-1-1−i−iii-1-1-1-1-1-1−i−i−i−iiiiiii−i−i-1-111i−i-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111ii−i−i111111iiii−i−i−i−i−i−iii11-1-1−ii
χ6211-1111111-1-1111111-1-1-1-1-11-1-11-11-11111-1-111-1-111-1-111111-11-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111111-111-11-11-1-1-1-111-1-111-1-111-1-1-1-1-11-1111
χ6311-1111111-1-1111111-1-1-1-1-11-1-1-11-111111-1-1-1-111-1-111-1-1-1-11-11-111-1-11-1-1-1-1-1-111-1-1-1-1-1-111111-1111-11-1-1-1-1-11111-1-111-1-11111-11-11-1-1
χ6411-1111111-1-1111111-1-1-1-1-1-11-11-11-11111-1-111-1-111-1-1-1-1-1-1-11-1111-1-11-1-1-1-1-1-111-1-1-1-1-1-1111111-11-11-11-1-1-1-111-1-111-1-11111111-11-1-1-1
χ6511-1111111-1-1111111-1-1-1-1-1-11-1-11-111111-1-1-1-111-1-1111111-11-11-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1111111-111-11-1-1-1-1-11111-1-111-1-1-1-1-1-11-11-111
χ6611-1111111-1-1-1-11111-1-1-1-1-11-11i−i−ii-1-1-1-111ii−i−i−i−iiiii−i−i1-1-11−ii-1-11-1-1-1-1-1-11111-1-1-1-111111-11-1−iii−i1111-1-1−i−iiiii−i−i−i−iii-111-1i−i
χ6711-1111111-1-1-1-11111-1-1-1-1-11-11−iii−i-1-1-1-111−i−iiiii−i−i−i−iii1-1-11i−i-1-11-1-1-1-1-1-11111-1-1-1-111111-11-1i−i−ii1111-1-1ii−i−i−i−iiiii−i−i-111-1−ii
χ6811-1111111-1-1-1-11111-1-1-1-1-1-111i−i−ii-1-1-1-111ii−i−i−i−iii−i−iii-111-1i−i-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1−iii−i1111-1-1−i−iiiii−i−iii−i−i1-1-11−ii
χ6911-1111111-1-1-1-11111-1-1-1-1-1-111−iii−i-1-1-1-111−i−iiiii−i−iii−i−i-111-1−ii-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1i−i−ii1111-1-1ii−i−i−i−iii−i−iii1-1-11i−i
χ70222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−520022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000-2-2-21−521+521−521+52-2-21−521+52-2-21−521+521−521+52-21−521−521+521+5200-2-2-2-2-21−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000
χ71222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52002-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000-2-2-21−521+521−521+52-2-21−521+52-2-21−521+521−521+52-21−521−521+521+5200-222221−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ72222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−5200-22i2i−2i−2i1−521+521−521+521−521+52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000000-2-2-21−521+521−521+52-2-21−521+52221−521+521−521+52-21−521−521+521+52002−2i−2i2i2i−1+52−1−52−1+52−1−52−1+52−1−52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000
χ73222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−5200-2−2i−2i2i2i1−521+521−521+521−521+52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000-2-2-21−521+521−521+52-2-21−521+52221−521+521−521+52-21−521−521+521+520022i2i−2i−2i−1+52−1−52−1+52−1−52−1+52−1−52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000000
χ74222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+520022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000-2-2-21+521−521+521−52-2-21+521−52-2-21+521−521+521−52-21+521+521−521−5200-2-2-2-2-21+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000
χ75222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52002-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000-2-2-21+521−521+521−52-2-21+521−52-2-21+521−521+521−52-21+521+521−521−5200-222221+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ76222−1−52−1+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+5200-22i2i−2i−2i1+521−521+521−521+521−52−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190000000000-2-2-21+521−521+521−52-2-21+521−52221+521−521+521−52-21+521+521−521−52002−2i−2i2i2i−1−52−1+52−1−52−1+52−1−52−1+52ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000000
χ77222−1−52−1+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+5200-2−2i−2i2i2i1+521−521+521−521+521−52ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000000-2-2-21+521−521+521−52-2-21+521−52221+521−521+521−52-21+521+521−521−520022i2i−2i−2i−1−52−1+52−1−52−1+52−1−52−1+52−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190000000000
χ7822-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+5200-22-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000-2-221−521+521−521+52-2-2−1+52−1−52-2-21−521+521−521+522−1+52−1+52−1−52−1−52002-22-221−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ7922-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+5200-2-22-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000-2-221−521+521−521+52-2-2−1+52−1−52-2-21−521+521−521+522−1+52−1+52−1−52−1−520022-22-21−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ8022-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+520022i−2i−2i2i1−521+521−521+52−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000000000-2-221−521+521−521+52-2-2−1+52−1−52221−521+521−521+522−1+52−1+52−1−52−1−5200-2−2i2i2i−2i−1+52−1−52−1+52−1−521−521+52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000000000
χ8122-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+52002−2i2i2i−2i1−521+521−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000000000-2-221−521+521−521+52-2-2−1+52−1−52221−521+521−521+522−1+52−1+52−1−52−1−5200-22i−2i−2i2i−1+52−1−52−1+52−1−521−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000000000
χ8222-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−5200-22-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000-2-221+521−521+521−52-2-2−1−52−1+52-2-21+521−521+521−522−1−52−1−52−1+52−1+52002-22-221+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ8322-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−5200-2-22-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000-2-221+521−521+521−52-2-2−1−52−1+52-2-21+521−521+521−522−1−52−1−52−1+52−1+520022-22-21+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ8422-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−520022i−2i−2i2i1+521−521+521−52−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000000000-2-221+521−521+521−52-2-2−1−52−1+52221+521−521+521−522−1−52−1−52−1+52−1+5200-2−2i2i2i−2i−1−52−1+52−1−52−1+521+521−52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000000000
χ8522-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−52002−2i2i2i−2i1+521−521+521−52−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000000000-2-221+521−521+521−52-2-2−1−52−1+52221+521−521+521−522−1−52−1−52−1+52−1+5200-22i−2i−2i2i−1−52−1+52−1−52−1+521+521−52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000000000
χ862-2022-2-22-2002-222-2-200000000000022-2-200000000002i−2i2i−2i000000-220-2-222-2200-22-2-222000000000000-2-2220000000000−2i2i−2i2i000000
χ872-2022-2-22-2002-222-2-200000000000022-2-20000000000−2i2i−2i2i000000-220-2-222-2200-22-2-222000000000000-2-22200000000002i−2i2i−2i000000
χ882-2022-2-22-200-2222-2-2000000000000-2-22200000000002-2-22000000-220-2-222-22002-2-2-22200000000000022-2-20000000000-222-2000000
χ892-2022-2-22-200-2222-2-2000000000000-2-2220000000000-222-2000000-220-2-222-22002-2-2-22200000000000022-2-200000000002-2-22000000
χ904444444-1-14400-1-1-1-1-1-1-1-1-14400000000000000000000000-1-10000-4-4-4-4-4-4-411-4-400111111111-4-400000000000000000000000110000
χ914444444-1-14400-1-1-1-1-1-1-1-1-1-4-400000000000000000000000110000-4-4-4-4-4-4-411-4-4001111111114400000000000000000000000-1-10000
χ9244-44444-1-1-4-400-1-1-1-1111114-400000000000000000000000-110000-4-44-4-4-4-41144001111-1-1-1-1-1-44000000000000000000000001-10000
χ9344-44444-1-1-4-400-1-1-1-111111-44000000000000000000000001-10000-4-44-4-4-4-41144001111-1-1-1-1-14-400000000000000000000000-110000
χ944-40−1+5−1−51−51+54-4004-4−1+5−1−51−51+5000000000000−1+5−1−51−51+500000000000000000000-4401−51+5−1+5−1−5-4400-441−51+5−1+5−1−50000000000001−51+5−1+5−1−500000000000000000000
χ954-40−1+5−1−51−51+54-400-44−1+5−1−51−51+50000000000001−51+5−1+5−1−500000000000000000000-4401−51+5−1+5−1−5-44004-41−51+5−1+5−1−5000000000000−1+5−1−51−51+500000000000000000000
χ964-40−1−5−1+51+51−54-4004-4−1−5−1+51+51−5000000000000−1−5−1+51+51−500000000000000000000-4401+51−5−1−5−1+5-4400-441+51−5−1−5−1+50000000000001+51−5−1−5−1+500000000000000000000
χ974-40−1−5−1+51+51−54-400-44−1−5−1+51+51−50000000000001+51−5−1−5−1+500000000000000000000-4401+51−5−1−5−1+5-44004-41+51−5−1−5−1+5000000000000−1−5−1+51+51−500000000000000000000
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+52−1−5202ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ190000000000000000000000000000000-8802−252+25−2+25−2−252-20000−1+52−1−521−521+520−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ190000000000000000000000000000000
χ1048-80−2+25−2−252−252+25-2200001−521+52−1+52−1−520−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ190000000000000000000000000000000-8802−252+25−2+25−2−252-20000−1+52−1−521−521+5202ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ190000000000000000000000000000000
χ1058-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ190000000000000000000000000000000-8802+252−25−2−25−2+252-20000−1−52−1+521+521−520ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ190000000000000000000000000000000
χ1068-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ190000000000000000000000000000000-8802+252−25−2−25−2+252-20000−1−52−1+521+521−520−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ190000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.