Finite Group Databasebeta

← Group #13107672

Character table — Group #13107672

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size111122444444444444444444444444888888888888101010101010101020202020202020202020202020202020202020202525252540404040404040405050100100100100
order12442455551010101010101010202020202020202020202020510101010102020202020202222444422441010101010101010202020202020202022441010101020202020244444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ51111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-111-1-111-1-1-11-111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111
χ71111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-111-1-1111-11-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-111
χ81111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-111-1-111-11-11-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-111-1-1
χ911-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-11-11-1
χ1011-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-11-11
χ1111-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111-1-11-11
χ1211-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11-11-11-1
χ1311-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-11
χ1411-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-111-1
χ1511-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-11-111-1
χ1611-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-111-1-11
χ172222222222222222222222222222222222222222220000000000000000000000000000-2-2-2-200000000-2-20000
χ182222-2-22222-2-2-2-2222222222222-2-2-2-22-2-2-2-22-2-222-2-20000000000000000000000000000-2-2-2-200000000220000
χ1922-2-22-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000000-2-22200000000-220000
χ2022-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-222222-2-2-2-2222-2-2220000000000000000000000000000-2-222000000002-20000
χ212-22i−2i0022220000-2-2-2-22i2i2i2i−2i−2i−2i−2i000020000-2002i−2i00002-2002i−2i0000000022-2-200002i2i−2i−2i2-22i−2i00000000000000
χ222-22i−2i0022220000-2-2-2-22i2i2i2i−2i−2i−2i−2i000020000-2002i−2i0000-2200−2i2i00000000-2-2220000−2i−2i2i2i2-22i−2i00000000000000
χ232-22i−2i0022220000-2-2-2-22i2i2i2i−2i−2i−2i−2i000020000-2002i−2i002-2002i−2i00000022-2-200002i2i−2i−2i0000-22−2i2i00000000000000
χ242-22i−2i0022220000-2-2-2-22i2i2i2i−2i−2i−2i−2i000020000-2002i−2i00-2200−2i2i000000-2-2220000−2i−2i2i2i0000-22−2i2i00000000000000
χ252-2−2i2i0022220000-2-2-2-2−2i−2i−2i−2i2i2i2i2i000020000-200−2i2i00002-200−2i2i0000000022-2-20000−2i−2i2i2i2-2−2i2i00000000000000
χ262-2−2i2i0022220000-2-2-2-2−2i−2i−2i−2i2i2i2i2i000020000-200−2i2i0000-22002i−2i00000000-2-22200002i2i−2i−2i2-2−2i2i00000000000000
χ272-2−2i2i0022220000-2-2-2-2−2i−2i−2i−2i2i2i2i2i000020000-200−2i2i002-200−2i2i00000022-2-20000−2i−2i2i2i0000-222i−2i00000000000000
χ282-2−2i2i0022220000-2-2-2-2−2i−2i−2i−2i2i2i2i2i000020000-200−2i2i00-22002i−2i000000-2-22200002i2i−2i−2i0000-222i−2i00000000000000
χ29444444−1+53−523+52−1−5−1+5−1+5−1−5−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+5−1+5−1−5−1−5-13−523+52-1-1-13−523+52-1-1-1-100000000222200000000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000
χ30444444−1+53−523+52−1−5−1+5−1+5−1−5−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+5−1+5−1−5−1−5-13−523+52-1-1-13−523+52-1-1-1-100000000-2-2-2-2000000000000000000001−521+521−521+521−521+521−521+52000000
χ314444443−52−1−5−1+53+523−523−523+523+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−523−523+523+52-1−1−5−1+5-1-1-1−1−5−1+5-1-1-1-1222222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ324444443−52−1−5−1+53+523−523−523+523+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−523−523+523+52-1−1−5−1+5-1-1-1−1−5−1+5-1-1-1-1-2-2-2-2-2-2-2-200001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ334444443+52−1+5−1−53−523+523+523−523−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+523+523−523−52-1−1+5−1−5-1-1-1−1+5−1−5-1-1-1-1222222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ344444443+52−1+5−1−53−523+523+523−523−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+523+523−523−52-1−1+5−1−5-1-1-1−1+5−1−5-1-1-1-1-2-2-2-2-2-2-2-200001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ35444444−1−53+523−52−1+5−1−5−1−5−1+5−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−5−1−5−1+5−1+5-13+523−52-1-1-13+523−52-1-1-1-100000000222200000000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000
χ36444444−1−53+523−52−1+5−1−5−1−5−1+5−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−5−1−5−1+5−1+5-13+523−52-1-1-13+523−52-1-1-1-100000000-2-2-2-2000000000000000000001+521−521+521−521+521−521+521−52000000
χ374444-4-4−1+53−523+52−1−51−51−51+51+5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−51−51−51+51+5-1−3+52−3−5211-1−3+52−3−52-1-111000000002-22-200000000000000000000−1+52−1−521−521+52−1+52−1−521−521+52000000
χ384444-4-4−1+53−523+52−1−51−51−51+51+5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−51−51−51+51+5-1−3+52−3−5211-1−3+52−3−52-1-11100000000-22-22000000000000000000001−521+52−1+52−1−521−521+52−1+52−1−52000000
χ394444-4-43−52−1−5−1+53+52−3+52−3+52−3−52−3−523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52−3+52−3+52−3−52−3−52-11+51−511-11+51−5-1-11122-2-222-2-20000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ404444-4-43−52−1−5−1+53+52−3+52−3+52−3−52−3−523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52−3+52−3+52−3−52−3−52-11+51−511-11+51−5-1-111-2-222-2-22200001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ414444-4-43+52−1+5−1−53−52−3−52−3−52−3+52−3+523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52−3−52−3−52−3+52−3+52-11−51+511-11−51+5-1-11122-2-222-2-20000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ424444-4-43+52−1+5−1−53−52−3−52−3−52−3+52−3+523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52−3−52−3−52−3+52−3+52-11−51+511-11−51+5-1-111-2-222-2-22200001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ434444-4-4−1−53+523−52−1+51+51+51−51−5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+51+51+51−51−5-1−3−52−3+5211-1−3−52−3+52-1-111000000002-22-200000000000000000000−1−52−1+521+521−52−1−52−1+521+521−52000000
χ444444-4-4−1−53+523−52−1+51+51+51−51−5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+51+51+51−51−5-1−3−52−3+5211-1−3−52−3+52-1-11100000000-22-22000000000000000000001+521−52−1−52−1+521+521−52−1−52−1+52000000
χ4544-4-44-4−1+53−523+52−1−5−1+5−1+5−1−5−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+51−51−51+51+5-13−523+52-1-1-1−3+52−3−521111000000002-2-2200000000000000000000−1+52−1−521−521+521−521+52−1+52−1−52000000
χ4644-4-44-4−1+53−523+52−1−5−1+5−1+5−1−5−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+51−51−51+51+5-13−523+52-1-1-1−3+52−3−52111100000000-222-2000000000000000000001−521+52−1+52−1−52−1+52−1−521−521+52000000
χ4744-4-44-43−52−1−5−1+53+523−523−523+523+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52−3+52−3+52−3−52−3−52-1−1−5−1+5-1-1-11+51−511112222-2-2-2-20000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
χ4844-4-44-43−52−1−5−1+53+523−523−523+523+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52−3+52−3+52−3−52−3−52-1−1−5−1+5-1-1-11+51−51111-2-2-2-2222200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ4944-4-44-43+52−1+5−1−53−523+523+523−523−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52−3−52−3−52−3+52−3+52-1−1+5−1−5-1-1-11−51+511112222-2-2-2-20000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ5044-4-44-43+52−1+5−1−53−523+523+523−523−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52−3−52−3−52−3+52−3+52-1−1+5−1−5-1-1-11−51+51111-2-2-2-2222200001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ5144-4-44-4−1−53+523−52−1+5−1−5−1−5−1+5−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−51+51+51−51−5-13+523−52-1-1-1−3−52−3+521111000000002-2-2200000000000000000000−1−52−1+521+521−521+521−52−1−52−1+52000000
χ5244-4-44-4−1−53+523−52−1+5−1−5−1−5−1+5−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−51+51+51−51−5-13+523−52-1-1-1−3−52−3+52111100000000-222-2000000000000000000001+521−52−1−52−1+52−1−52−1+521+521−52000000
χ5344-4-4-44−1+53−523+52−1−51−51−51+51+5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5−1+5−1+5−1−5−1−5-1−3+52−3−5211-13−523+5211-1-10000000022-2-200000000000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000
χ5444-4-4-44−1+53−523+52−1−51−51−51+51+5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5−1+5−1+5−1−5−1−5-1−3+52−3−5211-13−523+5211-1-100000000-2-222000000000000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000
χ5544-4-4-443−52−1−5−1+53+52−3+52−3+52−3−52−3−523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−523−523−523+523+52-11+51−511-1−1−5−1+511-1-122-2-2-2-2220000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ5644-4-4-443−52−1−5−1+53+52−3+52−3+52−3−52−3−523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−523−523−523+523+52-11+51−511-1−1−5−1+511-1-1-2-22222-2-200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ5744-4-4-443+52−1+5−1−53−52−3−52−3−52−3+52−3+523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+523+523+523−523−52-11−51+511-1−1+5−1−511-1-122-2-2-2-2220000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ5844-4-4-443+52−1+5−1−53−52−3−52−3−52−3+52−3+523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+523+523+523−523−52-11−51+511-1−1+5−1−511-1-1-2-22222-2-200001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ5944-4-4-44−1−53+523−52−1+51+51+51−51−5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5−1−5−1−5−1+5−1+5-1−3−52−3+5211-13+523−5211-1-10000000022-2-200000000000000000000−1−52−1+52−1−52−1+521+521−521+521−52000000
χ6044-4-4-44−1−53+523−52−1+51+51+51−51−5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5−1−5−1−5−1+5−1+5-1−3−52−3+5211-13+523−5211-1-100000000-2-222000000000000000000001+521−521+521−52−1−52−1+52−1−52−1+52000000
χ614-44i−4i003−52−1−5−1+53+525+52−5−525−52−5+52−3+521+51−5−3−52ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ19−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-1005−5100−iii5−i52-22-22i−2i2i−2i0000−1+52−1−521−521+52−1+52−1−521−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000000000000
χ624-44i−4i003−52−1−5−1+53+525+52−5−525−52−5+52−3+521+51−5−3−52ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ19−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-1005−5100−iii5−i5-22-22−2i2i−2i2i00001−521+52−1+52−1−521−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000000000000
χ634-44i−4i003−52−1−5−1+53+52−5−525+52−5+525−52−3+521+51−5−3−52ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ19−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-100−55100−ii−i5i52-2-222i−2i−2i2i0000−1+52−1−521−521+521−521+52−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000000000000
χ644-44i−4i003−52−1−5−1+53+52−5−525+52−5+525−52−3+521+51−5−3−52ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ19−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-100−55100−ii−i5i5-222-2−2i2i2i−2i00001−521+52−1+52−1−52−1+52−1−521−521+52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000000000000
χ654-44i−4i003+52−1+5−1−53−525−52−5+525+52−5−52−3−521−51+5−3+522ζ3+2ζ7+ζ11+ζ19−2ζ11−2ζ19−2ζ3−2ζ7ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ192ζ11+2ζ192ζ3+2ζ7−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-100−55100−ii−i5i52-22-22i−2i2i−2i0000−1−52−1+521+521−52−1−52−1+521+521−52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000000000000
χ664-44i−4i003+52−1+5−1−53−525−52−5+525+52−5−52−3−521−51+5−3+522ζ3+2ζ7+ζ11+ζ19−2ζ11−2ζ19−2ζ3−2ζ7ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ192ζ11+2ζ192ζ3+2ζ7−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-100−55100−ii−i5i5-22-22−2i2i−2i2i00001+521−52−1−52−1+521+521−52−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000000000000
χ674-44i−4i003+52−1+5−1−53−52−5+525−52−5−525+52−3−521−51+5−3+522ζ3+2ζ7+ζ11+ζ19−2ζ11−2ζ19−2ζ3−2ζ7ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ192ζ11+2ζ192ζ3+2ζ7−ζ3−ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-1005−5100−iii5−i52-2-222i−2i−2i2i0000−1−52−1+521+521−521+521−52−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000000000000
χ684-44i−4i003+52−1+5−1−53−52−5+525−52−5−525+52−3−521−51+5−3+522ζ3+2ζ7+ζ11+ζ19−2ζ11−2ζ19−2ζ3−2ζ7ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ192ζ11+2ζ192ζ3+2ζ7−ζ3−ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-1005−5100−iii5−i5-222-2−2i2i2i−2i00001+521−52−1−52−1+52−1−52−1+521+521−52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000000000000
χ694-4−4i4i003−52−1−5−1+53+525+52−5−525−52−5+52−3+521+51−5−3−52−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ19ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-1005−5100i−i−i5i52-22-2−2i2i−2i2i0000−1+52−1−521−521+52−1+52−1−521−521+52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000000000000
χ704-4−4i4i003−52−1−5−1+53+525+52−5−525−52−5+52−3+521+51−5−3−52−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ19ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-1005−5100i−i−i5i5-22-222i−2i2i−2i00001−521+52−1+52−1−521−521+52−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000000000000
χ714-4−4i4i003−52−1−5−1+53+52−5−525+52−5+525−52−3+521+51−5−3−52−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ19ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-100−55100i−ii5−i52-2-22−2i2i2i−2i0000−1+52−1−521−521+521−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000000000000
χ724-4−4i4i003−52−1−5−1+53+52−5−525+52−5+525−52−3+521+51−5−3−52−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ19ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-100−55100i−ii5−i5-222-22i−2i−2i2i00001−521+52−1+52−1−52−1+52−1−521−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000000000000
χ734-4−4i4i003+52−1+5−1−53−525−52−5+525+52−5−52−3−521−51+5−3+52−2ζ3−2ζ7−ζ11−ζ192ζ11+2ζ192ζ3+2ζ7−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ19−2ζ11−2ζ19−2ζ3−2ζ7ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-100−55100i−ii5−i52-22-2−2i2i−2i2i0000−1−52−1+521+521−52−1−52−1+521+521−52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000000000000
χ744-4−4i4i003+52−1+5−1−53−525−52−5+525+52−5−52−3−521−51+5−3+52−2ζ3−2ζ7−ζ11−ζ192ζ11+2ζ192ζ3+2ζ7−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ19−2ζ11−2ζ19−2ζ3−2ζ7ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-100−55100i−ii5−i5-22-222i−2i2i−2i00001+521−52−1−52−1+521+521−52−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000000000000
χ754-4−4i4i003+52−1+5−1−53−52−5+525−52−5−525+52−3−521−51+5−3+52−2ζ3−2ζ7−ζ11−ζ192ζ11+2ζ192ζ3+2ζ7−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ19−2ζ11−2ζ19−2ζ3−2ζ7ζ3+ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-1005−5100i−i−i5i52-2-22−2i2i2i−2i0000−1−52−1+521+521−521+521−52−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000000000000
χ764-4−4i4i003+52−1+5−1−53−52−5+525−52−5−525+52−3−521−51+5−3+52−2ζ3−2ζ7−ζ11−ζ192ζ11+2ζ192ζ3+2ζ7−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ19−2ζ11−2ζ19−2ζ3−2ζ7ζ3+ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-1005−5100i−i−i5i5-222-22i−2i−2i2i00001+521−52−1−52−1+52−1−52−1+521+521−52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000000000000
χ77888888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23-2-2333-2-233330000000000000000000000000000000000000000000000
χ788888-8-8-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222322-3-332233-3-30000000000000000000000000000000000000000000000
χ7988-8-88-8-2-2-2-2-2-2-2-2-2-2-2-22222222222223-2-233322-3-3-3-30000000000000000000000000000000000000000000000
χ8088-8-8-88-2-2-2-22222-2-2-2-222222222-2-2-2-2322-3-33-2-2-3-3330000000000000000000000000000000000000000000000
χ818-88i−8i00-2-2-2-225−25−25252222−2i−2i−2i−2i2i2i2i2i2i5−2i52i5−2i5300−55-3003i−3i−i5i50000000000000000000000000000000000000000000000
χ828-88i−8i00-2-2-2-2−252525−252222−2i−2i−2i−2i2i2i2i2i−2i52i5−2i52i53005−5-3003i−3ii5−i50000000000000000000000000000000000000000000000
χ838-88i−8i00−2+253−53+5−2−2500002−25−3+5−3−52+25−4ζ11−4ζ192ζ3+2ζ7+4ζ11+4ζ194ζ3+4ζ7+2ζ11+2ζ19−4ζ3−4ζ74ζ11+4ζ19−2ζ3−2ζ7−4ζ11−4ζ19−4ζ3−4ζ7−2ζ11−2ζ194ζ3+4ζ70000-20000200−2i2i000000000000000000000000000000000000000000000000
χ848-88i−8i00−2−253+53−5−2+2500002+25−3−5−3+52−25−4ζ3−4ζ74ζ3+4ζ7+2ζ11+2ζ192ζ3+2ζ7+4ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ7−2ζ11−2ζ19−2ζ3−2ζ7−4ζ11−4ζ194ζ11+4ζ190000-20000200−2i2i000000000000000000000000000000000000000000000000
χ858-8−8i8i00-2-2-2-225−25−252522222i2i2i2i−2i−2i−2i−2i−2i52i5−2i52i5300−55-300−3i3ii5−i50000000000000000000000000000000000000000000000
χ868-8−8i8i00-2-2-2-2−252525−2522222i2i2i2i−2i−2i−2i−2i2i5−2i52i5−2i53005−5-300−3i3i−i5i50000000000000000000000000000000000000000000000
χ878-8−8i8i00−2+253−53+5−2−2500002−25−3+5−3−52+254ζ11+4ζ19−2ζ3−2ζ7−4ζ11−4ζ19−4ζ3−4ζ7−2ζ11−2ζ194ζ3+4ζ7−4ζ11−4ζ192ζ3+2ζ7+4ζ11+4ζ194ζ3+4ζ7+2ζ11+2ζ19−4ζ3−4ζ70000-200002002i−2i000000000000000000000000000000000000000000000000
χ888-8−8i8i00−2−253+53−5−2+2500002+25−3−5−3+52−254ζ3+4ζ7−4ζ3−4ζ7−2ζ11−2ζ19−2ζ3−2ζ7−4ζ11−4ζ194ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ7+2ζ11+2ζ192ζ3+2ζ7+4ζ11+4ζ19−4ζ11−4ζ190000-200002002i−2i000000000000000000000000000000000000000000000000

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