Finite Group Databasebeta

← Group #12252024

Character table — Group #12252024

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11222224444488888888888888881010161616161616161616162020204040404040401122222444448888888888888888101016161616161616161616202020404040404040
order1225510102241010244488101010101010101020202220202020202040404040224444488222101010102241010244488101010101010101020202220202020202040404040224444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1
χ411111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1111-1-111-1-1111111111111-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1111-1-111-1-1
χ6111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-111
χ8111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-1-1
χ911111111-1-1111-1i−ii−i111111-1-1-1-111-1-1ii−i−iii−i−i1-1-11-1i−ii−i11111111-1-1111-1i−ii−i111111-1-1-1-111-1-1ii−i−iii−i−i1-1-11-1i−ii−i
χ1011111111-1-1111-1i−ii−i111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-111-11−ii−ii11111111-1-1111-1i−ii−i111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-111-11−ii−ii
χ1111111111-1-1111-1−ii−ii111111-1-1-1-111-1-1−i−iii−i−iii1-1-11-1−ii−ii11111111-1-1111-1−ii−ii111111-1-1-1-111-1-1−i−iii−i−iii1-1-11-1−ii−ii
χ1211111111-1-1111-1−ii−ii111111-1-1-1-1-1-1-1-1−i−iii−i−iii-111-11i−ii−i11111111-1-1111-1−ii−ii111111-1-1-1-1-1-1-1-1−i−iii−i−iii-111-11i−ii−i
χ1311111111-1-111-11i−i−ii11-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-1-1-11i−i−ii11111111-1-111-11i−i−ii11-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-1-1-11i−i−ii
χ1411111111-1-111-11i−i−ii11-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1111-1−iii−i11111111-1-111-11i−i−ii11-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1111-1−iii−i
χ1511111111-1-111-11−iii−i11-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-1-1-11−iii−i11111111-1-111-11−iii−i11-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-1-1-11−iii−i
χ1611111111-1-111-11−iii−i11-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1111-1i−i−ii11111111-1-111-11−iii−i11-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1111-1i−i−ii
χ172222222-22-222000000-2-2000022-2-2220000000000-22-20000002222222-22-222000000-2-2000022-2-2220000000000-22-2000000
χ182222222-22-222000000-2-2000022-2-2-2-200000000002-220000002222222-22-222000000-2-2000022-2-2-2-200000000002-22000000
χ192222222-2-2222000000-2-20000-2-222220000000000-2-220000002222222-2-2222000000-2-20000-2-222220000000000-2-22000000
χ202222222-2-2222000000-2-20000-2-222-2-2000000000022-20000002222222-2-2222000000-2-20000-2-222-2-2000000000022-2000000
χ21222−1+52−1−52−1+52−1−52222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000222−1+52−1−52−1+52−1−52222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ22222−1+52−1−52−1+52−1−52222−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200−1+52−1−521−521+521−521+521−521+521−521+52000000000222−1+52−1−52−1+52−1−52222−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200−1+52−1−521−521+521−521+521−521+521−521+52000000000
χ23222−1+52−1−52−1+52−1−52222−1+52−1−52-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52001−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000222−1+52−1−52−1+52−1−52222−1+52−1−52-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52001−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000
χ24222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52001−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52001−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000
χ25222−1+52−1−52−1+52−1−522-2-2−1+52−1−522-22i−2i2i−2i−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52001−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000222−1+52−1−52−1+52−1−522-2-2−1+52−1−522-22i−2i2i−2i−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52001−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000
χ26222−1+52−1−52−1+52−1−522-2-2−1+52−1−522-2−2i2i−2i2i−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52001−521+52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000222−1+52−1−52−1+52−1−522-2-2−1+52−1−522-2−2i2i−2i2i−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52001−521+52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000
χ27222−1+52−1−52−1+52−1−522-2-2−1+52−1−52-222i−2i−2i2i−1+52−1−521−521−521+521+521−521+521−521+5200−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000222−1+52−1−52−1+52−1−522-2-2−1+52−1−52-222i−2i−2i2i−1+52−1−521−521−521+521+521−521+521−521+5200−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000
χ28222−1+52−1−52−1+52−1−522-2-2−1+52−1−52-22−2i2i2i−2i−1+52−1−521−521−521+521+521−521+521−521+5200−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000222−1+52−1−52−1+52−1−522-2-2−1+52−1−52-22−2i2i2i−2i−1+52−1−521−521−521+521+521−521+521−521+5200−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000
χ29222−1−52−1+52−1−52−1+52222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000222−1−52−1+52−1−52−1+52222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ30222−1−52−1+52−1−52−1+52222−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200−1−52−1+521+521−521+521−521+521−521+521−52000000000222−1−52−1+52−1−52−1+52222−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200−1−52−1+521+521−521+521−521+521−521+521−52000000000
χ31222−1−52−1+52−1−52−1+52222−1−52−1+52-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52001+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000222−1−52−1+52−1−52−1+52222−1−52−1+52-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52001+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000
χ32222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52001+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52001+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000
χ33222−1−52−1+52−1−52−1+522-2-2−1−52−1+522-22i−2i2i−2i−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52001+521−52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000222−1−52−1+52−1−52−1+522-2-2−1−52−1+522-22i−2i2i−2i−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52001+521−52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000
χ34222−1−52−1+52−1−52−1+522-2-2−1−52−1+522-2−2i2i−2i2i−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52001+521−52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000222−1−52−1+52−1−52−1+522-2-2−1−52−1+522-2−2i2i−2i2i−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52001+521−52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000
χ35222−1−52−1+52−1−52−1+522-2-2−1−52−1+52-222i−2i−2i2i−1−52−1+521+521+521−521−521+521−521+521−5200−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000222−1−52−1+52−1−52−1+522-2-2−1−52−1+52-222i−2i−2i2i−1−52−1+521+521+521−521−521+521−521+521−5200−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000
χ36222−1−52−1+52−1−52−1+522-2-2−1−52−1+52-22−2i2i2i−2i−1−52−1+521+521+521−521−521+521−521+521−5200−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000222−1−52−1+52−1−52−1+522-2-2−1−52−1+52-22−2i2i2i−2i−1−52−1+521+521+521−521−521+521−521+521−5200−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000
χ37444−1+5−1−5−1+5−1−5-44-4−1+5−1−50000001−51+50000−1+5−1−51−51+5000000000000000000000444−1+5−1−5−1+5−1−5-44-4−1+5−1−50000001−51+50000−1+5−1−51−51+5000000000000000000000
χ38444−1+5−1−5−1+5−1−5-4-44−1+5−1−50000001−51+500001−51+5−1+5−1−5000000000000000000000444−1+5−1−5−1+5−1−5-4-44−1+5−1−50000001−51+500001−51+5−1+5−1−5000000000000000000000
χ39444−1−5−1+5−1−5−1+5-44-4−1−5−1+50000001+51−50000−1−5−1+51+51−5000000000000000000000444−1−5−1+5−1−5−1+5-44-4−1−5−1+50000001+51−50000−1−5−1+51+51−5000000000000000000000
χ40444−1−5−1+5−1−5−1+5-4-44−1−5−1+50000001+51−500001+51−5−1−5−1+5000000000000000000000444−1−5−1+5−1−5−1+5-4-44−1−5−1+50000001+51−500001+51−5−1−5−1+5000000000000000000000
χ4144-44444000-4-400000000000000004-4000000000000000000044-44444000-4-400000000000000004-40000000000000000000
χ4244-44444000-4-40000000000000000-44000000000000000000044-44444000-4-40000000000000000-440000000000000000000
χ4388-8−2+25−2−25−2+25−2−250002−252+25000000000000000000000000000000000000088-8−2+25−2−25−2+25−2−250002−252+250000000000000000000000000000000000000
χ4488-8−2−25−2+25−2−25−2+250002+252−25000000000000000000000000000000000000088-8−2−25−2+25−2−25−2+250002+252−250000000000000000000000000000000000000
χ458-8088-8-80000000000000000000000000000000000000000008-8088-8-8000000000000000000000000000000000000000000
χ468-80−2+25−2−252−252+2500000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800000000000000000000000008-80−2+25−2−252−252+2500000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000
χ478-80−2+25−2−252−252+250000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ1800000000000000000000000008-80−2+25−2−252−252+250000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000000
χ488-80−2−25−2+252+252−250000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000008-80−2−25−2+252+252−250000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000
χ498-80−2−25−2+252+252−2500000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000008-80−2−25−2+252+252−2500000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000
χ501111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111
χ5211111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111
χ5311111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-1-1-1
χ54111111111111-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-111
χ55111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111111-1-111-1-1
χ56111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1
χ57111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111
χ5811111111-1-1111-1i−ii−i111111-1-1-1-111-1-1ii−i−iii−i−i1-1-11-1i−ii−i-1-1-1-1-1-1-1-111-1-1-11−ii−ii-1-1-1-1-1-11111-1-111−i−iii−i−iii-111-11−ii−ii
χ5911111111-1-1111-1i−ii−i111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-111-11−ii−ii-1-1-1-1-1-1-1-111-1-1-11−ii−ii-1-1-1-1-1-111111111−i−iii−i−iii1-1-11-1i−ii−i
χ6011111111-1-1111-1−ii−ii111111-1-1-1-111-1-1−i−iii−i−iii1-1-11-1−ii−ii-1-1-1-1-1-1-1-111-1-1-11i−ii−i-1-1-1-1-1-11111-1-111ii−i−iii−i−i-111-11i−ii−i
χ6111111111-1-1111-1−ii−ii111111-1-1-1-1-1-1-1-1−i−iii−i−iii-111-11i−ii−i-1-1-1-1-1-1-1-111-1-1-11i−ii−i-1-1-1-1-1-111111111ii−i−iii−i−i1-1-11-1−ii−ii
χ6211111111-1-111-11i−i−ii11-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-1-1-11i−i−ii-1-1-1-1-1-1-1-111-1-11-1−iii−i-1-111111111-1-1-1-1−i−iiiii−i−i-1111-1−iii−i
χ6311111111-1-111-11i−i−ii11-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1111-1−iii−i-1-1-1-1-1-1-1-111-1-11-1−iii−i-1-11111111111-1-1−i−iiiii−i−i1-1-1-11i−i−ii
χ6411111111-1-111-11−iii−i11-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-1-1-11−iii−i-1-1-1-1-1-1-1-111-1-11-1i−i−ii-1-111111111-1-1-1-1ii−i−i−i−iii-1111-1i−i−ii
χ6511111111-1-111-11−iii−i11-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1111-1i−i−ii-1-1-1-1-1-1-1-111-1-11-1i−i−ii-1-11111111111-1-1ii−i−i−i−iii1-1-1-11−iii−i
χ662222222-22-222000000-2-2000022-2-2220000000000-22-2000000-2-2-2-2-2-2-22-22-2-2000000220000-2-222-2-200000000002-22000000
χ672222222-22-222000000-2-2000022-2-2-2-200000000002-22000000-2-2-2-2-2-2-22-22-2-2000000220000-2-222220000000000-22-2000000
χ682222222-2-2222000000-2-20000-2-222220000000000-2-22000000-2-2-2-2-2-2-222-2-2-200000022000022-2-2-2-2000000000022-2000000
χ692222222-2-2222000000-2-20000-2-222-2-2000000000022-2000000-2-2-2-2-2-2-222-2-2-200000022000022-2-2220000000000-2-22000000
χ70222−1+52−1−52−1+52−1−52222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000-2-2-21−521+521−521+52-2-2-21−521+52-2-2-2-2-2-21−521+521−521−521+521+521−521+521−521+52001−521+521−521+521−521+521−521+521−521+52000000000
χ71222−1+52−1−52−1+52−1−52222−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200−1+52−1−521−521+521−521+521−521+521−521+52000000000-2-2-21−521+521−521+52-2-2-21−521+52-2-222221−521+521−521−521+521+521−521+521−521+52001−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ72222−1+52−1−52−1+52−1−52222−1+52−1−52-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52001−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000-2-2-21−521+521−521+52-2-2-21−521+5222-2-2221−521+52−1+52−1+52−1−52−1−521−521+521−521+5200−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000
χ73222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52001−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000-2-2-21−521+521−521+52-2-2-21−521+522222-2-21−521+52−1+52−1+52−1−52−1−521−521+521−521+5200−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000
χ74222−1+52−1−52−1+52−1−522-2-2−1+52−1−522-22i−2i2i−2i−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52001−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000-2-2-21−521+521−521+52-2221−521+52-22−2i2i−2i2i1−521+521−521−521+521+52−1+52−1−52−1+52−1−5200−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000
χ75222−1+52−1−52−1+52−1−522-2-2−1+52−1−522-2−2i2i−2i2i−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52001−521+52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000-2-2-21−521+521−521+52-2221−521+52-222i−2i2i−2i1−521+521−521−521+521+52−1+52−1−52−1+52−1−5200−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000
χ76222−1+52−1−52−1+52−1−522-2-2−1+52−1−52-222i−2i−2i2i−1+52−1−521−521−521+521+521−521+521−521+5200−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000-2-2-21−521+521−521+52-2221−521+522-2−2i2i2i−2i1−521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52001−521+52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000
χ77222−1+52−1−52−1+52−1−522-2-2−1+52−1−52-22−2i2i2i−2i−1+52−1−521−521−521+521+521−521+521−521+5200−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000-2-2-21−521+521−521+52-2221−521+522-22i−2i−2i2i1−521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52001−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000
χ78222−1−52−1+52−1−52−1+52222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000-2-2-21+521−521+521−52-2-2-21+521−52-2-2-2-2-2-21+521−521+521+521−521−521+521−521+521−52001+521−521+521−521+521−521+521−521+521−52000000000
χ79222−1−52−1+52−1−52−1+52222−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200−1−52−1+521+521−521+521−521+521−521+521−52000000000-2-2-21+521−521+521−52-2-2-21+521−52-2-222221+521−521+521+521−521−521+521−521+521−52001+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ80222−1−52−1+52−1−52−1+52222−1−52−1+52-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52001+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000-2-2-21+521−521+521−52-2-2-21+521−5222-2-2221+521−52−1−52−1−52−1+52−1+521+521−521+521−5200−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000
χ81222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52001+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000-2-2-21+521−521+521−52-2-2-21+521−522222-2-21+521−52−1−52−1−52−1+52−1+521+521−521+521−5200−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000
χ82222−1−52−1+52−1−52−1+522-2-2−1−52−1+522-22i−2i2i−2i−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52001+521−52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000-2-2-21+521−521+521−52-2221+521−52-22−2i2i−2i2i1+521−521+521+521−521−52−1−52−1+52−1−52−1+5200−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000
χ83222−1−52−1+52−1−52−1+522-2-2−1−52−1+522-2−2i2i−2i2i−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52001+521−52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000-2-2-21+521−521+521−52-2221+521−52-222i−2i2i−2i1+521−521+521+521−521−52−1−52−1+52−1−52−1+5200−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000
χ84222−1−52−1+52−1−52−1+522-2-2−1−52−1+52-222i−2i−2i2i−1−52−1+521+521+521−521−521+521−521+521−5200−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000-2-2-21+521−521+521−52-2221+521−522-2−2i2i2i−2i1+521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52001+521−52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000
χ85222−1−52−1+52−1−52−1+522-2-2−1−52−1+52-22−2i2i2i−2i−1−52−1+521+521+521−521−521+521−521+521−5200−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000-2-2-21+521−521+521−52-2221+521−522-22i−2i−2i2i1+521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52001+521−52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000
χ86444−1+5−1−5−1+5−1−5-44-4−1+5−1−50000001−51+50000−1+5−1−51−51+5000000000000000000000-4-4-41−51+51−51+54-441−51+5000000−1+5−1−500001−51+5−1+5−1−5000000000000000000000
χ87444−1+5−1−5−1+5−1−5-4-44−1+5−1−50000001−51+500001−51+5−1+5−1−5000000000000000000000-4-4-41−51+51−51+544-41−51+5000000−1+5−1−50000−1+5−1−51−51+5000000000000000000000
χ88444−1−5−1+5−1−5−1+5-44-4−1−5−1+50000001+51−50000−1−5−1+51+51−5000000000000000000000-4-4-41+51−51+51−54-441+51−5000000−1−5−1+500001+51−5−1−5−1+5000000000000000000000
χ89444−1−5−1+5−1−5−1+5-4-44−1−5−1+50000001+51−500001+51−5−1−5−1+5000000000000000000000-4-4-41+51−51+51−544-41+51−5000000−1−5−1+50000−1−5−1+51+51−5000000000000000000000
χ9044-44444000-4-400000000000000004-40000000000000000000-4-44-4-4-4-4000440000000000000000-440000000000000000000
χ9144-44444000-4-40000000000000000-440000000000000000000-4-44-4-4-4-40004400000000000000004-40000000000000000000
χ9288-8−2+25−2−25−2+25−2−250002−252+250000000000000000000000000000000000000-8-882−252+252−252+25000−2+25−2−250000000000000000000000000000000000000
χ9388-8−2−25−2+25−2−25−2+250002+252−250000000000000000000000000000000000000-8-882+252−252+252−25000−2−25−2+250000000000000000000000000000000000000
χ948-8088-8-8000000000000000000000000000000000000000000-880-8-888000000000000000000000000000000000000000000
χ958-80−2+25−2−252−252+2500000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000-8802−252+25−2+25−2−250000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000000
χ968-80−2+25−2−252−252+250000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000000-8802−252+25−2+25−2−2500000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000
χ978-80−2−25−2+252+252−250000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000-8802+252−25−2−25−2+2500000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000
χ988-80−2−25−2+252+252−2500000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000-8802+252−25−2−25−2+250000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000

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