Finite Group Databasebeta

← Group #12019645

Character table — Group #12019645

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1122222222244444888888888888888881616161616161616168080808011222222222444448888888888888888816161616161616161680808080
order1225510101010101042020202022488202020204040404040404040410101010202020204444222101010101010101042020202022488202020204040404040404040410101010202020204444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1i−ii−i1111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1i−ii−i
χ61111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1−ii−ii1111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1−ii−ii
χ71111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111i−i−ii1111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111i−i−ii
χ81111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111−iii−i1111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111−iii−i
χ922222222222222222-2-200-2-2-2-200000000022-2-20000000022222222222222222-2-200-2-2-2-200000000022-2-200000000
χ102222222222222222-22-200-2-2-2-2000000000-2-222000000002222222222222222-22-200-2-2-2-2000000000-2-22200000000
χ11222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000
χ12222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1−52−1+52−1−521−521−521+521+520000222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1−52−1+52−1−521−521−521+521+520000
χ13222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522-2-2001−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ180−1+52−1−521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522-2-2001−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ180−1+52−1−521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000
χ14222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522-2-2001−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ180−1+52−1−521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522-2-2001−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ180−1+52−1−521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000
χ15222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-22-2001−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1801−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-22-2001−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1801−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000
χ16222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-22-2001−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1801−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-22-2001−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1801−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000
χ17222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521−521+521+520000222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521−521+521+520000
χ18222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-22-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5221−521+521−521+52−1+52−1+52−1−52−1−520000222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-22-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5221−521+521−521+52−1+52−1+52−1−52−1−520000
χ19222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000
χ20222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52222-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+52−1−52−1+521+521+521−521−520000222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52222-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+52−1−52−1+521+521+521−521−520000
χ21222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522-2-2001+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140−1−52−1+521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522-2-2001+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140−1−52−1+521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000
χ22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522-2-2001+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140−1−52−1+521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522-2-2001+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140−1−52−1+521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000
χ23222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-22-2001+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1401+521−52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-22-2001+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1401+521−52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000
χ24222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-22-2001+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1401+521−52−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-22-2001+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1401+521−52−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000
χ25222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521−521+521+521−521−520000222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521−521+521+521−521−520000
χ26222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5221+521−521+521−52−1−52−1−52−1+52−1+520000222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5221+521−521+521−52−1−52−1−52−1+52−1+520000
χ2744444444444-4-4-4-4-400000000000000000000000000000044444444444-4-4-4-4-4000000000000000000000000000000
χ28444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-41−51−51+51+5000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-41−51−51+51+5000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000
χ29444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-41−51−51+51+500000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-41−51−51+51+500000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000
χ30444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-41+51+51−51−500000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-41+51+51−51−500000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000
χ31444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-41+51+51−51−5000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-41+51+51−51−5000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000
χ3244-44444-4-4-4-4000000002i−2i00002i−2i2i−2i2i−2i2i−2i000000000000044-44444-4-4-4-4000000002i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000
χ3344-44444-4-4-4-400000000−2i2i0000−2i2i−2i2i−2i2i−2i2i000000000000044-44444-4-4-4-400000000−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000
χ3444-4−1+5−1−5−1+5−1−51−51−51+51+502ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180002i−2i0000−2ζ112ζ11−2ζ192ζ19−2ζ32ζ3−2ζ72ζ7000000000000044-4−1+5−1−5−1+5−1−51−51−51+51+502ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180002i−2i0000−2ζ112ζ11−2ζ192ζ19−2ζ32ζ3−2ζ72ζ70000000000000
χ3544-4−1+5−1−5−1+5−1−51−51−51+51+502ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000−2i2i00002ζ11−2ζ112ζ19−2ζ192ζ3−2ζ32ζ7−2ζ7000000000000044-4−1+5−1−5−1+5−1−51−51−51+51+502ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000−2i2i00002ζ11−2ζ112ζ19−2ζ192ζ3−2ζ32ζ7−2ζ70000000000000
χ3644-4−1+5−1−5−1+5−1−51−51−51+51+50−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180002i−2i0000−2ζ192ζ19−2ζ112ζ11−2ζ72ζ7−2ζ32ζ3000000000000044-4−1+5−1−5−1+5−1−51−51−51+51+50−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180002i−2i0000−2ζ192ζ19−2ζ112ζ11−2ζ72ζ7−2ζ32ζ30000000000000
χ3744-4−1+5−1−5−1+5−1−51−51−51+51+50−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000−2i2i00002ζ19−2ζ192ζ11−2ζ112ζ7−2ζ72ζ3−2ζ3000000000000044-4−1+5−1−5−1+5−1−51−51−51+51+50−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000−2i2i00002ζ19−2ζ192ζ11−2ζ112ζ7−2ζ72ζ3−2ζ30000000000000
χ3844-4−1−5−1+5−1−5−1+51+51+51−51−50−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140002i−2i0000−2ζ32ζ3−2ζ72ζ7−2ζ192ζ19−2ζ112ζ11000000000000044-4−1−5−1+5−1−5−1+51+51+51−51−50−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140002i−2i0000−2ζ32ζ3−2ζ72ζ7−2ζ192ζ19−2ζ112ζ110000000000000
χ3944-4−1−5−1+5−1−5−1+51+51+51−51−50−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000−2i2i00002ζ3−2ζ32ζ7−2ζ72ζ19−2ζ192ζ11−2ζ11000000000000044-4−1−5−1+5−1−5−1+51+51+51−51−50−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000−2i2i00002ζ3−2ζ32ζ7−2ζ72ζ19−2ζ192ζ11−2ζ110000000000000
χ4044-4−1−5−1+5−1−5−1+51+51+51−51−502ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140002i−2i0000−2ζ72ζ7−2ζ32ζ3−2ζ112ζ11−2ζ192ζ19000000000000044-4−1−5−1+5−1−5−1+51+51+51−51−502ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140002i−2i0000−2ζ72ζ7−2ζ32ζ3−2ζ112ζ11−2ζ192ζ190000000000000
χ4144-4−1−5−1+5−1−5−1+51+51+51−51−502ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000−2i2i00002ζ7−2ζ72ζ3−2ζ32ζ11−2ζ112ζ19−2ζ19000000000000044-4−1−5−1+5−1−5−1+51+51+51−51−502ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000−2i2i00002ζ7−2ζ72ζ3−2ζ32ζ11−2ζ112ζ19−2ζ190000000000000
χ428-8088-8-80000000000000000000000000000000000000008-8088-8-8000000000000000000000000000000000000000
χ438-80−2+25−2−252−252+254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ18000000000000000000000000000000000008-80−2+25−2−252−252+254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ1800000000000000000000000000000000000
χ448-80−2+25−2−252−252+25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ18000000000000000000000000000000000008-80−2+25−2−252−252+25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ1800000000000000000000000000000000000
χ458-80−2−25−2+252+252−25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000000000000008-80−2−25−2+252+252−25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ1400000000000000000000000000000000000
χ468-80−2−25−2+252+252−254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000008-80−2−25−2+252+252−254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ1400000000000000000000000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ48111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ491111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-111
χ501111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1111111-1-1
χ511111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−ii−ii
χ521111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1−ii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111i−ii−i
χ531111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111i−i−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-11111-1-1-1-1−iii−i
χ541111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111−iii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-11111-1-1-1-1i−i−ii
χ5522222222222222222-2-200-2-2-2-200000000022-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222002222000000000-2-22200000000
χ562222222222222222-22-200-2-2-2-2000000000-2-22200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2200222200000000022-2-200000000
χ57222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-2-2-21−521+521−521+521−521−521+521+52-21−521−521+521+52-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52-21−521+521−521+521−521−521+521+520000
χ58222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1−52−1+52−1−521−521−521+521+520000-2-2-21−521+521−521+521−521−521+521+52-21−521−521+521+52-2-2-2221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5221−521+521−521+52−1+52−1+52−1−52−1−520000
χ59222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522-2-2001−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ180−1+52−1−521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000-2-2-21−521+521−521+521−521−521+521+52-21−521−521+521+52-22200−1+52−1+52−1−52−1−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1801−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000
χ60222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522-2-2001−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ180−1+52−1−521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000-2-2-21−521+521−521+521−521−521+521+52-21−521−521+521+52-22200−1+52−1+52−1−52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1801−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000
χ61222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-22-2001−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1801−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000-2-2-21−521+521−521+521−521−521+521+52-21−521−521+521+522-2200−1+52−1+52−1−52−1−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ180−1+52−1−521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000
χ62222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-22-2001−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1801−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000-2-2-21−521+521−521+521−521−521+521+52-21−521−521+521+522-2200−1+52−1+52−1−52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ180−1+52−1−521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000
χ63222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521−521+521+520000-2-2-21−521+521−521+521−521−521+521+52-21−521−521+521+5222-2-2-21−521−521+521+521−521−521−521−521+521+521+521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000
χ64222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-22-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5221−521+521−521+52−1+52−1+52−1−52−1−520000-2-2-21−521+521−521+521−521−521+521+52-21−521−521+521+5222-2221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+520000
χ65222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-2-2-21+521−521+521−521+521+521−521−52-21+521+521−521−52-2-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52-21+521−521+521−521+521+521−521−520000
χ66222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52222-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+52−1−52−1+521+521+521−521−520000-2-2-21+521−521+521−521+521+521−521−52-21+521+521−521−52-2-2-2221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+521−521+521−52−1−52−1−52−1+52−1+520000
χ67222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522-2-2001+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140−1−52−1+521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000-2-2-21+521−521+521−521+521+521−521−52-21+521+521−521−52-22200−1−52−1−52−1+52−1+52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1401+521−52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000
χ68222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522-2-2001+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140−1−52−1+521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000-2-2-21+521−521+521−521+521+521−521−52-21+521+521−521−52-22200−1−52−1−52−1+52−1+52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1401+521−52−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000
χ69222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-22-2001+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1401+521−52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000-2-2-21+521−521+521−521+521+521−521−52-21+521+521−521−522-2200−1−52−1−52−1+52−1+52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140−1−52−1+521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000
χ70222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-22-2001+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1401+521−52−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000-2-2-21+521−521+521−521+521+521−521−52-21+521+521−521−522-2200−1−52−1−52−1+52−1+52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140−1−52−1+521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000
χ71222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521−521+521+521−521−520000-2-2-21+521−521+521−521+521+521−521−52-21+521+521−521−5222-2-2-21+521+521−521−521+521+521+521+521−521−521−521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000
χ72222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5221+521−521+521−52−1−52−1−52−1+52−1+520000-2-2-21+521−521+521−521+521+521−521−52-21+521+521−521−5222-2221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−520000
χ7344444444444-4-4-4-4-4000000000000000000000000000000-4-4-4-4-4-4-4-4-4-4-444444000000000000000000000000000000
χ74444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-41−51−51+51+5000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000-4-4-41−51+51−51+51−51−51+51+54−1+5−1+5−1−5−1−500000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000
χ75444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-41−51−51+51+500000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000-4-4-41−51+51−51+51−51−51+51+54−1+5−1+5−1−5−1−5000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000
χ76444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-41+51+51−51−500000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000-4-4-41+51−51+51−51+51+51−51−54−1−5−1−5−1+5−1+5000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000
χ77444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-41+51+51−51−5000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000-4-4-41+51−51+51−51+51+51−51−54−1−5−1−5−1+5−1+500000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000
χ7844-44444-4-4-4-4000000002i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000-4-44-4-4-4-4444400000000−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000
χ7944-44444-4-4-4-400000000−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000-4-44-4-4-4-44444000000002i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000
χ8044-4−1+5−1−5−1+5−1−51−51−51+51+502ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180002i−2i0000−2ζ112ζ11−2ζ192ζ19−2ζ32ζ3−2ζ72ζ70000000000000-4-441−51+51−51+5−1+5−1+5−1−5−1−50−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000−2i2i00002ζ11−2ζ112ζ19−2ζ192ζ3−2ζ32ζ7−2ζ70000000000000
χ8144-4−1+5−1−5−1+5−1−51−51−51+51+502ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000−2i2i00002ζ11−2ζ112ζ19−2ζ192ζ3−2ζ32ζ7−2ζ70000000000000-4-441−51+51−51+5−1+5−1+5−1−5−1−50−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180002i−2i0000−2ζ112ζ11−2ζ192ζ19−2ζ32ζ3−2ζ72ζ70000000000000
χ8244-4−1+5−1−5−1+5−1−51−51−51+51+50−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180002i−2i0000−2ζ192ζ19−2ζ112ζ11−2ζ72ζ7−2ζ32ζ30000000000000-4-441−51+51−51+5−1+5−1+5−1−5−1−502ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000−2i2i00002ζ19−2ζ192ζ11−2ζ112ζ7−2ζ72ζ3−2ζ30000000000000
χ8344-4−1+5−1−5−1+5−1−51−51−51+51+50−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000−2i2i00002ζ19−2ζ192ζ11−2ζ112ζ7−2ζ72ζ3−2ζ30000000000000-4-441−51+51−51+5−1+5−1+5−1−5−1−502ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180002i−2i0000−2ζ192ζ19−2ζ112ζ11−2ζ72ζ7−2ζ32ζ30000000000000
χ8444-4−1−5−1+5−1−5−1+51+51+51−51−50−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140002i−2i0000−2ζ32ζ3−2ζ72ζ7−2ζ192ζ19−2ζ112ζ110000000000000-4-441+51−51+51−5−1−5−1−5−1+5−1+502ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000−2i2i00002ζ3−2ζ32ζ7−2ζ72ζ19−2ζ192ζ11−2ζ110000000000000
χ8544-4−1−5−1+5−1−5−1+51+51+51−51−50−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000−2i2i00002ζ3−2ζ32ζ7−2ζ72ζ19−2ζ192ζ11−2ζ110000000000000-4-441+51−51+51−5−1−5−1−5−1+5−1+502ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140002i−2i0000−2ζ32ζ3−2ζ72ζ7−2ζ192ζ19−2ζ112ζ110000000000000
χ8644-4−1−5−1+5−1−5−1+51+51+51−51−502ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140002i−2i0000−2ζ72ζ7−2ζ32ζ3−2ζ112ζ11−2ζ192ζ190000000000000-4-441+51−51+51−5−1−5−1−5−1+5−1+50−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000−2i2i00002ζ7−2ζ72ζ3−2ζ32ζ11−2ζ112ζ19−2ζ190000000000000
χ8744-4−1−5−1+5−1−5−1+51+51+51−51−502ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000−2i2i00002ζ7−2ζ72ζ3−2ζ32ζ11−2ζ112ζ19−2ζ190000000000000-4-441+51−51+51−5−1−5−1−5−1+5−1+50−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140002i−2i0000−2ζ72ζ7−2ζ32ζ3−2ζ112ζ11−2ζ192ζ190000000000000
χ888-8088-8-8000000000000000000000000000000000000000-880-8-888000000000000000000000000000000000000000
χ898-80−2+25−2−252−252+254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ1800000000000000000000000000000000000-8802−252+25−2+25−2−25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ1800000000000000000000000000000000000
χ908-80−2+25−2−252−252+25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ1800000000000000000000000000000000000-8802−252+25−2+25−2−254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ1800000000000000000000000000000000000
χ918-80−2−25−2+252+252−25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ1400000000000000000000000000000000000-8802+252−25−2−25−2+254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ1400000000000000000000000000000000000
χ928-80−2−25−2+252+252−254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ1400000000000000000000000000000000000-8802+252−25−2−25−2+25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ1400000000000000000000000000000000000

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