Finite Group Databasebeta

← Group #13107652

Character table — Group #13107652

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size112222244445588888888810101010101010101010102020202020202020202025252525404050505050112222244445588888888810101010101010101010102020202020202020202025252525404050505050
order12255101051010102255101010101010102244444101010101010202020202020202044441020244422210101010101010102210101010101010101022444441010101010102020202020202020444410202444
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
χ511111111111-1-1111111111-111i−ii−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i11111111111-1-1111111111-111i−ii−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i
χ611111111111-1-1111111111-111−ii−ii-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−ii11111111111-1-1111111111-111−ii−ii-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−ii
χ711111111111-1-1111111111-1-1-1i−ii−i-1-1-1-1-1-1iiii−i−i−i−i−i−iii-1-111−ii11111111111-1-1111111111-1-1-1i−ii−i-1-1-1-1-1-1iiii−i−i−i−i−i−iii-1-111−ii
χ811111111111-1-1111111111-1-1-1−ii−ii-1-1-1-1-1-1−i−i−i−iiiiiii−i−i-1-111i−i11111111111-1-1111111111-1-1-1−ii−ii-1-1-1-1-1-1−i−i−i−iiiiiii−i−i-1-111i−i
χ911-111111-1-111111-111-1-1-1-1-11-111-1-11111-1-111-1-111-1-1-1-1-1-11-11-11111-111111-1-111111-111-1-1-1-1-11-111-1-11111-1-111-1-111-1-1-1-1-1-11-11-111
χ1011-111111-1-111111-111-1-1-1-1-11-1-1-1111111-1-1-1-111-1-11111111-11-1-1-111-111111-1-111111-111-1-1-1-1-11-1-1-1111111-1-1-1-111-1-11111111-11-1-1-1
χ1111-111111-1-111111-111-1-1-1-1-1-1111-1-11111-1-111-1-111-1-11111-11-11-1-111-111111-1-111111-111-1-1-1-1-1-1111-1-11111-1-111-1-111-1-11111-11-11-1-1
χ1211-111111-1-111111-111-1-1-1-1-1-11-1-1111111-1-1-1-111-1-111-1-1-1-1-11-111111-111111-1-111111-111-1-1-1-1-1-11-1-1111111-1-1-1-111-1-111-1-1-1-1-11-1111
χ1311-111111-1-11-1-111-111-1-1-1-111-1i−i−ii-1-1-1-111ii−i−i−i−iii−i−iii1-1-11i−i11-111111-1-11-1-111-111-1-1-1-111-1i−i−ii-1-1-1-111ii−i−i−i−iii−i−iii1-1-11i−i
χ1411-111111-1-11-1-111-111-1-1-1-111-1−iii−i-1-1-1-111−i−iiiii−i−iii−i−i1-1-11−ii11-111111-1-11-1-111-111-1-1-1-111-1−iii−i-1-1-1-111−i−iiiii−i−iii−i−i1-1-11−ii
χ1511-111111-1-11-1-111-111-1-1-1-11-11i−i−ii-1-1-1-111ii−i−i−i−iiiii−i−i-111-1−ii11-111111-1-11-1-111-111-1-1-1-11-11i−i−ii-1-1-1-111ii−i−i−i−iiiii−i−i-111-1−ii
χ1611-111111-1-11-1-111-111-1-1-1-11-11−iii−i-1-1-1-111−i−iiiii−i−i−i−iii-111-1i−i11-111111-1-11-1-111-111-1-1-1-11-11−iii−i-1-1-1-111−i−iiiii−i−i−i−iii-111-1i−i
χ17222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522002222−1+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+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+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+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+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+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+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+52−1−522−1+52−1−522-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2002i−2i2i−2i1−521−521+521+521−521+52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000000222−1+52−1−52−1+52−1−522−1+52−1−522-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2002i−2i2i−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+52−1−522−1+52−1−522-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-200−2i2i−2i2i1−521−521+521+521−521+52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000222−1+52−1−52−1+52−1−522−1+52−1−522-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-200−2i2i−2i2i1−521−521+521+521−521+52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000
χ21222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+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+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+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+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+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+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+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+522−1−52−1+522-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2002i−2i2i−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+522−1−52−1+522-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2002i−2i2i−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+522−1−52−1+522-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-200−2i2i−2i2i1+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+522−1−52−1+522-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-200−2i2i−2i2i1+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+52−1−5221−521+52222−1+52−1−52-2−1+52−1−521−521−521+521+52-20022-2-2−1+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+52-20022-2-2−1+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+52-200-2-222−1+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+52-200-2-222−1+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+522002i−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+52−1−5221−521+522-2-2−1+52−1−52-2−1+52−1−521−521−521+521+522002i−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+52−1−5221−521+522-2-2−1+52−1−52-2−1+52−1−521−521−521+521+52200−2i2i2i−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+52−1−5221−521+522-2-2−1+52−1−52-2−1+52−1−521−521−521+521+52200−2i2i2i−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+5221+521−52222−1−52−1+52-2−1−52−1+521+521+521−521−52-20022-2-2−1−52−1−52−1+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+521−521−52-20022-2-2−1−52−1−52−1+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+521−521−52-200-2-222−1−52−1−52−1+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+521−521−52-200-2-222−1−52−1−52−1+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+521−521−522002i−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+5221+521−522-2-2−1−52−1+52-2−1−52−1+521+521+521−521−522002i−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+5221+521−522-2-2−1−52−1+52-2−1−52−1+521+521+521−521−52200−2i2i2i−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+5221+521−522-2-2−1−52−1+52-2−1−52−1+521+521+521−521−52200−2i2i2i−2i1+521+521−521−52−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000000000
χ332-2022-2-2200-22-2220-2-2000000000002-22-200000000002i−2i2i−2i0000002-2022-2-2200-22-2220-2-2000000000002-22-200000000002i−2i2i−2i000000
χ342-2022-2-2200-22-2220-2-2000000000002-22-20000000000−2i2i−2i2i0000002-2022-2-2200-22-2220-2-2000000000002-22-20000000000−2i2i−2i2i000000
χ352-2022-2-2200-2-22220-2-200000000000-22-2200000000002-2-220000002-2022-2-2200-2-22220-2-200000000000-22-2200000000002-2-22000000
χ362-2022-2-2200-2-22220-2-200000000000-22-220000000000-222-20000002-2022-2-2200-2-22220-2-200000000000-22-220000000000-222-2000000
χ374444444-144-100-1-1-1-1-1-1-1-1-10440000000000000000000000-1-100004444444-144-100-1-1-1-1-1-1-1-1-10440000000000000000000000-1-10000
χ384444444-144-100-1-1-1-1-1-1-1-1-10-4-400000000000000000000001100004444444-144-100-1-1-1-1-1-1-1-1-10-4-40000000000000000000000110000
χ3944-44444-1-4-4-100-1-11-1-1111104-40000000000000000000000-11000044-44444-1-4-4-100-1-11-1-1111104-40000000000000000000000-110000
χ4044-44444-1-4-4-100-1-11-1-111110-4400000000000000000000001-1000044-44444-1-4-4-100-1-11-1-111110-4400000000000000000000001-10000
χ414-40−1+5−1−51−51+5400-44-4−1+5−1−501−51+500000000000−1+51−5−1−51+5000000000000000000004-40−1+5−1−51−51+5400-44-4−1+5−1−501−51+500000000000−1+51−5−1−51+500000000000000000000
χ424-40−1+5−1−51−51+5400-4-44−1+5−1−501−51+5000000000001−5−1+51+5−1−5000000000000000000004-40−1+5−1−51−51+5400-4-44−1+5−1−501−51+5000000000001−5−1+51+5−1−500000000000000000000
χ434-40−1−5−1+51+51−5400-44-4−1−5−1+501+51−500000000000−1−51+5−1+51−5000000000000000000004-40−1−5−1+51+51−5400-44-4−1−5−1+501+51−500000000000−1−51+5−1+51−500000000000000000000
χ444-40−1−5−1+51+51−5400-4-44−1−5−1+501+51−5000000000001+5−1−51−5−1+5000000000000000000004-40−1−5−1+51+51−5400-4-44−1−5−1+501+51−5000000000001+5−1−51−5−1+500000000000000000000
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
χ508-80−2+25−2−252−252+25-2002001−521+520−1+52−1−52−2ζ2−ζ6+ζ14+2ζ182ζ2+ζ6−ζ14−2ζ18−ζ2+2ζ6−2ζ14+ζ18ζ2−2ζ6+2ζ14−ζ1800000000000000000000000000000008-80−2+25−2−252−252+25-2002001−521+520−1+52−1−52−2ζ2−ζ6+ζ14+2ζ182ζ2+ζ6−ζ14−2ζ18−ζ2+2ζ6−2ζ14+ζ18ζ2−2ζ6+2ζ14−ζ180000000000000000000000000000000
χ518-80−2+25−2−252−252+25-2002001−521+520−1+52−1−522ζ2+ζ6−ζ14−2ζ18−2ζ2−ζ6+ζ14+2ζ18ζ2−2ζ6+2ζ14−ζ18−ζ2+2ζ6−2ζ14+ζ1800000000000000000000000000000008-80−2+25−2−252−252+25-2002001−521+520−1+52−1−522ζ2+ζ6−ζ14−2ζ18−2ζ2−ζ6+ζ14+2ζ18ζ2−2ζ6+2ζ14−ζ18−ζ2+2ζ6−2ζ14+ζ180000000000000000000000000000000
χ528-80−2−25−2+252+252−25-2002001+521−520−1−52−1+52−ζ2+2ζ6−2ζ14+ζ18ζ2−2ζ6+2ζ14−ζ182ζ2+ζ6−ζ14−2ζ18−2ζ2−ζ6+ζ14+2ζ1800000000000000000000000000000008-80−2−25−2+252+252−25-2002001+521−520−1−52−1+52−ζ2+2ζ6−2ζ14+ζ18ζ2−2ζ6+2ζ14−ζ182ζ2+ζ6−ζ14−2ζ18−2ζ2−ζ6+ζ14+2ζ180000000000000000000000000000000
χ538-80−2−25−2+252+252−25-2002001+521−520−1−52−1+52ζ2−2ζ6+2ζ14−ζ18−ζ2+2ζ6−2ζ14+ζ18−2ζ2−ζ6+ζ14+2ζ182ζ2+ζ6−ζ14−2ζ1800000000000000000000000000000008-80−2−25−2+252+252−25-2002001+521−520−1−52−1+52ζ2−2ζ6+2ζ14−ζ18−ζ2+2ζ6−2ζ14+ζ18−2ζ2−ζ6+ζ14+2ζ182ζ2+ζ6−ζ14−2ζ180000000000000000000000000000000
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
χ5611111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5711111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ5811111111111-1-1111111111-111i−ii−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1−ii−ii111111−i−i−i−iiiii−i−iii-1-111−ii
χ5911111111111-1-1111111111-111−ii−ii-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−ii-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1i−ii−i111111iiii−i−i−i−iii−i−i-1-111i−i
χ6011111111111-1-1111111111-1-1-1i−ii−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−ii−ii111111−i−i−i−iiiiiii−i−i11-1-1i−i
χ6111111111111-1-1111111111-1-1-1−ii−ii-1-1-1-1-1-1−i−i−i−iiiiiii−i−i-1-111i−i-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111i−ii−i111111iiii−i−i−i−i−i−iii11-1-1−ii
χ6211-111111-1-111111-111-1-1-1-1-11-111-1-11111-1-111-1-111-1-1-1-1-1-11-11-111-1-11-1-1-1-1-111-1-1-1-1-11-1-111111-11-1-111-1-1-1-111-1-111-1-1111111-11-11-1-1
χ6311-111111-1-111111-111-1-1-1-1-11-1-1-1111111-1-1-1-111-1-11111111-11-1-1-1-1-11-1-1-1-1-111-1-1-1-1-11-1-111111-1111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11-1111
χ6411-111111-1-111111-111-1-1-1-1-1-1111-1-11111-1-111-1-111-1-11111-11-11-1-1-1-11-1-1-1-1-111-1-1-1-1-11-1-1111111-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11-11-111
χ6511-111111-1-111111-111-1-1-1-1-1-11-1-1111111-1-1-1-111-1-111-1-1-1-1-11-1111-1-11-1-1-1-1-111-1-1-1-1-11-1-1111111-111-1-1-1-1-1-11111-1-111-1-111111-11-1-1-1
χ6611-111111-1-11-1-111-111-1-1-1-111-1i−i−ii-1-1-1-111ii−i−i−i−iii−i−iii1-1-11i−i-1-11-1-1-1-1-111-111-1-11-1-11111-1-11−iii−i1111-1-1−i−iiiii−i−iii−i−i-111-1−ii
χ6711-111111-1-11-1-111-111-1-1-1-111-1−iii−i-1-1-1-111−i−iiiii−i−iii−i−i1-1-11−ii-1-11-1-1-1-1-111-111-1-11-1-11111-1-11i−i−ii1111-1-1ii−i−i−i−iii−i−iii-111-1i−i
χ6811-111111-1-11-1-111-111-1-1-1-11-11i−i−ii-1-1-1-111ii−i−i−i−iiiii−i−i-111-1−ii-1-11-1-1-1-1-111-111-1-11-1-11111-11-1−iii−i1111-1-1−i−iiiii−i−i−i−iii1-1-11i−i
χ6911-111111-1-11-1-111-111-1-1-1-11-11−iii−i-1-1-1-111−i−iiiii−i−i−i−iii-111-1i−i-1-11-1-1-1-1-111-111-1-11-1-11111-11-1i−i−ii1111-1-1ii−i−i−i−iiiii−i−i1-1-11−ii
χ70222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522002222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000-2-2-21−521+521−521+52-21−521+52-2-2-21−521+52-21−521+521−521−521+521+52-200-2-2-2-21−521−521+521+521−521+521−521+521−521+521−521+521−521+520000000000
χ71222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−522−1+52−1−52−1+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+520000000000-2-2-21−521+521−521+52-21−521+52-2-2-21−521+52-21−521+521−521−521+521+52-20022221−521−521+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+52−1−522−1+52−1−522-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2002i−2i2i−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+52-21−521+52-2221−521+52-21−521+521−521−521+521+52200−2i2i−2i2i−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+52−1−522−1+52−1−522-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-200−2i2i−2i2i1−521−521+521+521−521+52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000-2-2-21−521+521−521+52-21−521+52-2221−521+52-21−521+521−521−521+521+522002i−2i2i−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+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+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+520000000000-2-2-21+521−521+521−52-21+521−52-2-2-21+521−52-21+521−521+521+521−521−52-200-2-2-2-21+521+521−521−521+521−521+521−521+521−521+521−521+521−520000000000
χ75222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+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+521−520000000000-2-2-21+521−521+521−52-21+521−52-2-2-21+521−52-21+521−521+521+521−521−52-20022221+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+522−1−52−1+522-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2002i−2i2i−2i1+521+521−521−521+521−52−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190000000000-2-2-21+521−521+521−52-21+521−52-2221+521−52-21+521−521+521+521−521−52200−2i2i−2i2i−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+522−1−52−1+522-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-200−2i2i−2i2i1+521+521−521−521+521−52ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000000-2-2-21+521−521+521−52-21+521−52-2221+521−52-21+521−521+521+521−521−522002i−2i2i−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+52−1−5221−521+52222−1+52−1−52-2−1+52−1−521−521−521+521+52-20022-2-2−1+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+52-2−1+52−1−52-2-2-21−521+5221−521+52−1+52−1+52−1−52−1−52200-2-2221−521−521+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+52−1−5221−521+52222−1+52−1−52-2−1+52−1−521−521−521+521+52-200-2-222−1+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+52-2−1+52−1−52-2-2-21−521+5221−521+52−1+52−1+52−1−52−1−5220022-2-21−521−521+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+52−1−5221−521+522-2-2−1+52−1−52-2−1+52−1−521−521−521+521+522002i−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+52-2−1+52−1−52-2221−521+5221−521+52−1+52−1+52−1−52−1−52-200−2i2i2i−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+52−1−5221−521+522-2-2−1+52−1−52-2−1+52−1−521−521−521+521+52200−2i2i2i−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+52-2−1+52−1−52-2221−521+5221−521+52−1+52−1+52−1−52−1−52-2002i−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+5221+521−52222−1−52−1+52-2−1−52−1+521+521+521−521−52-20022-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000-2-221+521−521+521−52-2−1−52−1+52-2-2-21+521−5221+521−52−1−52−1−52−1+52−1+52200-2-2221+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+5221+521−52222−1−52−1+52-2−1−52−1+521+521+521−521−52-200-2-222−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000-2-221+521−521+521−52-2−1−52−1+52-2-2-21+521−5221+521−52−1−52−1−52−1+52−1+5220022-2-21+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+5221+521−522-2-2−1−52−1+52-2−1−52−1+521+521+521−521−522002i−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+521−52-2−1−52−1+52-2221+521−5221+521−52−1−52−1−52−1+52−1+52-200−2i2i2i−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+5221+521−522-2-2−1−52−1+52-2−1−52−1+521+521+521−521−52200−2i2i2i−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+521−52-2−1−52−1+52-2221+521−5221+521−52−1−52−1−52−1+52−1+52-2002i−2i−2i2i−1−52−1−52−1+52−1+521+521−52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000000000
χ862-2022-2-2200-22-2220-2-2000000000002-22-200000000002i−2i2i−2i000000-220-2-222-2002-22-2-202200000000000-22-220000000000−2i2i−2i2i000000
χ872-2022-2-2200-22-2220-2-2000000000002-22-20000000000−2i2i−2i2i000000-220-2-222-2002-22-2-202200000000000-22-2200000000002i−2i2i−2i000000
χ882-2022-2-2200-2-22220-2-200000000000-22-2200000000002-2-22000000-220-2-222-20022-2-2-2022000000000002-22-20000000000-222-2000000
χ892-2022-2-2200-2-22220-2-200000000000-22-220000000000-222-2000000-220-2-222-20022-2-2-2022000000000002-22-200000000002-2-22000000
χ904444444-144-100-1-1-1-1-1-1-1-1-10440000000000000000000000-1-10000-4-4-4-4-4-4-41-4-41001111111110-4-40000000000000000000000110000
χ914444444-144-100-1-1-1-1-1-1-1-1-10-4-40000000000000000000000110000-4-4-4-4-4-4-41-4-41001111111110440000000000000000000000-1-10000
χ9244-44444-1-4-4-100-1-11-1-1111104-40000000000000000000000-110000-4-44-4-4-4-414410011-111-1-1-1-10-4400000000000000000000001-10000
χ9344-44444-1-4-4-100-1-11-1-111110-4400000000000000000000001-10000-4-44-4-4-4-414410011-111-1-1-1-104-40000000000000000000000-110000
χ944-40−1+5−1−51−51+5400-44-4−1+5−1−501−51+500000000000−1+51−5−1−51+500000000000000000000-4401−51+5−1+5−1−5-4004-441−51+50−1+5−1−5000000000001−5−1+51+5−1−500000000000000000000
χ954-40−1+5−1−51−51+5400-4-44−1+5−1−501−51+5000000000001−5−1+51+5−1−500000000000000000000-4401−51+5−1+5−1−5-40044-41−51+50−1+5−1−500000000000−1+51−5−1−51+500000000000000000000
χ964-40−1−5−1+51+51−5400-44-4−1−5−1+501+51−500000000000−1−51+5−1+51−500000000000000000000-4401+51−5−1−5−1+5-4004-441+51−50−1−5−1+5000000000001+5−1−51−5−1+500000000000000000000
χ974-40−1−5−1+51+51−5400-4-44−1−5−1+501+51−5000000000001+5−1−51−5−1+500000000000000000000-4401+51−5−1−5−1+5-40044-41+51−50−1−5−1+500000000000−1−51+5−1+51−500000000000000000000
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+52−1−52−2ζ2−ζ6+ζ14+2ζ182ζ2+ζ6−ζ14−2ζ18−ζ2+2ζ6−2ζ14+ζ18ζ2−2ζ6+2ζ14−ζ180000000000000000000000000000000-8802−252+25−2+25−2−25200-200−1+52−1−5201−521+522ζ2+ζ6−ζ14−2ζ18−2ζ2−ζ6+ζ14+2ζ18ζ2−2ζ6+2ζ14−ζ18−ζ2+2ζ6−2ζ14+ζ180000000000000000000000000000000
χ1048-80−2+25−2−252−252+25-2002001−521+520−1+52−1−522ζ2+ζ6−ζ14−2ζ18−2ζ2−ζ6+ζ14+2ζ18ζ2−2ζ6+2ζ14−ζ18−ζ2+2ζ6−2ζ14+ζ180000000000000000000000000000000-8802−252+25−2+25−2−25200-200−1+52−1−5201−521+52−2ζ2−ζ6+ζ14+2ζ182ζ2+ζ6−ζ14−2ζ18−ζ2+2ζ6−2ζ14+ζ18ζ2−2ζ6+2ζ14−ζ180000000000000000000000000000000
χ1058-80−2−25−2+252+252−25-2002001+521−520−1−52−1+52−ζ2+2ζ6−2ζ14+ζ18ζ2−2ζ6+2ζ14−ζ182ζ2+ζ6−ζ14−2ζ18−2ζ2−ζ6+ζ14+2ζ180000000000000000000000000000000-8802+252−25−2−25−2+25200-200−1−52−1+5201+521−52ζ2−2ζ6+2ζ14−ζ18−ζ2+2ζ6−2ζ14+ζ18−2ζ2−ζ6+ζ14+2ζ182ζ2+ζ6−ζ14−2ζ180000000000000000000000000000000
χ1068-80−2−25−2+252+252−25-2002001+521−520−1−52−1+52ζ2−2ζ6+2ζ14−ζ18−ζ2+2ζ6−2ζ14+ζ18−2ζ2−ζ6+ζ14+2ζ182ζ2+ζ6−ζ14−2ζ180000000000000000000000000000000-8802+252−25−2−25−2+25200-200−1−52−1+5201+521−52−ζ2+2ζ6−2ζ14+ζ18ζ2−2ζ6+2ζ14−ζ182ζ2+ζ6−ζ14−2ζ18−2ζ2−ζ6+ζ14+2ζ180000000000000000000000000000000

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