Finite Group Databasebeta

← Group #13104258

Character table — Group #13104258

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size111122444444444444444444444444888888888888101010101010101020202020202020202020202020202020202020202525252540404040404040405050100100100100
order12224455551010101010101010101010102020202020202020510101020202020202020202222444444441010101010101010202020202020202022222020202020202020444444
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
χ51111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ61111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ71111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1
χ91-1-111-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1111-1-111-1-111-1-111-1-1i−ii−i1111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i1-1i−ii−i
χ101-1-111-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1111-1-111-1-111-1-111-1-1−ii−ii1111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii1-1−ii−ii
χ111-1-111-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1111-1-111-1-1-1-111-1-111i−ii−i-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−i1-1−ii−ii
χ121-1-111-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1111-1-111-1-1-1-111-1-111−ii−ii-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iii1-1i−ii−i
χ131-1-11-111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1-111-1-11111-1-1-1-111i−i−ii1111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iii-11i−i−ii
χ141-1-11-111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1-111-1-11111-1-1-1-111−iii−i1111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i-11−iii−i
χ151-1-11-111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1-111-1-111-1-11111-1-1i−i−ii-1-1-1-111111111-1-1-1-111-1-1ii−i−i−i−iii-11−iii−i
χ161-1-11-111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1-111-1-111-1-11111-1-1−iii−i-1-1-1-111111111-1-1-1-111-1-1−i−iiiii−i−i-11i−i−ii
χ172222222222222222222222222222222222222222220000000000000000000000000000-2-2-2-200000000-2-20000
χ182222-2-22222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000-2-2-2-200000000220000
χ1922-2-20022222222-2-2-2-2-2-2-2-20000000022-2-20000000000002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i2-2-2200000000000000
χ2022-2-20022222222-2-2-2-2-2-2-2-20000000022-2-2000000000000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i2-2-2200000000000000
χ2122-2-20022222222-2-2-2-2-2-2-2-20000000022-2-2000000002-22-20000000022-2-222-2-200000000-222-200000000000000
χ2222-2-20022222222-2-2-2-2-2-2-2-20000000022-2-200000000-22-2200000000-2-222-2-22200000000-222-200000000000000
χ232-22-2002222-2-2-2-222-2-2-2-222000000002-22-20000000000002i−2i−2i2i0000000000002i2i−2i−2i−2i−2i2i2i2-22-200000000000000
χ242-22-2002222-2-2-2-222-2-2-2-222000000002-22-2000000000000−2i2i2i−2i000000000000−2i−2i2i2i2i2i−2i−2i2-22-200000000000000
χ252-22-2002222-2-2-2-222-2-2-2-222000000002-22-2000000002-2-220000000022-2-2-2-22200000000-22-2200000000000000
χ262-22-2002222-2-2-2-222-2-2-2-222000000002-22-200000000-222-200000000-2-22222-2-200000000-22-2200000000000000
χ272-2-222-22222-2-2-2-2-2-22222-2-22222-2-2-2-22-2-2222-2-222-2-20000000000000000000000000000-2-22200000000-220000
χ282-2-22-222222-2-2-2-2-2-22222-2-2-2-2-2-222222-2-22-2-222-2-2220000000000000000000000000000-2-222000000002-20000
χ29444444−1+5−1−53−523+52−1+5−1−53−523+523−523+52−1+5−1−53−523+52−1+5−1−53−523−523+523+523−523−523+523+52-1-1-1-1−1+5−1−5−1+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
χ30444444−1+5−1−53−523+52−1+5−1−53−523+523−523+52−1+5−1−53−523+52−1+5−1−53−523−523+523+523−523−523+523+52-1-1-1-1−1+5−1−5−1+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
χ314444443−523+52−1−5−1+53−523+52−1−5−1+5−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-1-1-1-13−523+523−523+52-1-1-1-100000000222200000000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000
χ324444443−523+52−1−5−1+53−523+52−1−5−1+5−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-1-1-1-13−523+523−523+52-1-1-1-100000000-2-2-2-2000000000000000000001−521+521−521+521−521+521−521+52000000
χ334444443+523−52−1+5−1−53+523−52−1+5−1−5−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-1-1-1-13+523−523+523−52-1-1-1-100000000222200000000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000
χ344444443+523−52−1+5−1−53+523−52−1+5−1−5−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-1-1-1-13+523−523+523−52-1-1-1-100000000-2-2-2-2000000000000000000001+521−521+521−521+521−521+521−52000000
χ35444444−1−5−1+53+523−52−1−5−1+53+523−523+523−52−1−5−1+53+523−52−1−5−1+53+523+523−523−523+523+523−523−52-1-1-1-1−1−5−1+5−1−5−1+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
χ36444444−1−5−1+53+523−52−1−5−1+53+523−523+523−52−1−5−1+53+523−52−1−5−1+53+523+523−523−523+523+523−523−52-1-1-1-1−1−5−1+5−1−5−1+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
χ374444-4-4−1+5−1−53−523+52−1+5−1−53−523+523−523+52−1+5−1−53−523+52−1+5−1−5−3+52−3+52−3−52−3−52−3+52−3+52−3−52−3−52-1-1-1-11−51+51−51+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
χ384444-4-4−1+5−1−53−523+52−1+5−1−53−523+523−523+52−1+5−1−53−523+52−1+5−1−5−3+52−3+52−3−52−3−52−3+52−3+52−3−52−3−52-1-1-1-11−51+51−51+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
χ394444-4-43−523+52−1−5−1+53−523+52−1−5−1+5−1−5−1+53−523+52−1−5−1+53−523+521+51+51−51−51+51+51−51−5-1-1-1-1−3+52−3−52−3+52−3−5211110000000022-2-200000000000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000
χ404444-4-43−523+52−1−5−1+53−523+52−1−5−1+5−1−5−1+53−523+52−1−5−1+53−523+521+51+51−51−51+51+51−51−5-1-1-1-1−3+52−3−52−3+52−3−52111100000000-2-222000000000000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000
χ414444-4-43+523−52−1+5−1−53+523−52−1+5−1−5−1+5−1−53+523−52−1+5−1−53+523−521−51−51+51+51−51−51+51+5-1-1-1-1−3−52−3+52−3−52−3+5211110000000022-2-200000000000000000000−1−52−1+52−1−52−1+521+521−521+521−52000000
χ424444-4-43+523−52−1+5−1−53+523−52−1+5−1−5−1+5−1−53+523−52−1+5−1−53+523−521−51−51+51+51−51−51+51+5-1-1-1-1−3−52−3+52−3−52−3+52111100000000-2-222000000000000000000001+521−521+521−52−1−52−1+52−1−52−1+52000000
χ434444-4-4−1−5−1+53+523−52−1−5−1+53+523−523+523−52−1−5−1+53+523−52−1−5−1+5−3−52−3−52−3+52−3+52−3−52−3−52−3+52−3+52-1-1-1-11+51−51+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
χ444444-4-4−1−5−1+53+523−52−1−5−1+53+523−523+523−52−1−5−1+53+523−52−1−5−1+5−3−52−3−52−3+52−3+52−3−52−3−52−3+52−3+52-1-1-1-11+51−51+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
χ4544-4-400−1+5−1−53−523+52−1+5−1−53−523+52−3+52−3−521−51+5−3+52−3−521−51+53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-1-1110000i5−i5i5−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
χ4644-4-400−1+5−1−53−523+52−1+5−1−53−523+52−3+52−3−521−51+5−3+52−3−521−51+53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-1-1110000i5−i5i5−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
χ4744-4-400−1+5−1−53−523+52−1+5−1−53−523+52−3+52−3−521−51+5−3+52−3−521−51+5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-1-1110000−i5i5−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
χ4844-4-400−1+5−1−53−523+52−1+5−1−53−523+52−3+52−3−521−51+5−3+52−3−521−51+5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-1-1110000−i5i5−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
χ4944-4-400−1−5−1+53+523−52−1−5−1+53+523−52−3−52−3+521+51−5−3−52−3+521+51−5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-1-1110000i5−i5i5−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
χ5044-4-400−1−5−1+53+523−52−1−5−1+53+523−52−3−52−3+521+51−5−3−52−3+521+51−5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-1-1110000i5−i5i5−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
χ5144-4-400−1−5−1+53+523−52−1−5−1+53+523−52−3−52−3+521+51−5−3−52−3+521+51−52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-1-1110000−i5i5−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
χ5244-4-400−1−5−1+53+523−52−1−5−1+53+523−52−3−52−3+521+51−5−3−52−3+521+51−52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-1-1110000−i5i5−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
χ534-44-400−1+5−1−53−523+521−51+5−3+52−3−523−523+521−51+5−3+52−3−52−1+5−1−53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-11-110000i5−i5−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
χ544-44-400−1+5−1−53−523+521−51+5−3+52−3−523−523+521−51+5−3+52−3−52−1+5−1−53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-11-110000i5−i5−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
χ554-44-400−1+5−1−53−523+521−51+5−3+52−3−523−523+521−51+5−3+52−3−52−1+5−1−5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-11-110000−i5i5i5−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
χ564-44-400−1+5−1−53−523+521−51+5−3+52−3−523−523+521−51+5−3+52−3−52−1+5−1−5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-11-110000−i5i5i5−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
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χ614-4-444-4−1+5−1−53−523+521−51+5−3+52−3−52−3+52−3−52−1+5−1−53−523+521−51+53−523−523+523+52−3+52−3+52−3−52−3−52-111-1−1+5−1−51−51+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
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χ634-4-444-43−523+52−1−5−1+5−3+52−3−521+51−51+51−53−523+52−1−5−1+5−3+52−3−52−1−5−1−5−1+5−1+51+51+51−51−5-111-13−523+52−3+52−3−52-1-111000000002i−2i2i−2i00000000000000000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000
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χ664-4-444-43+523−52−1+5−1−5−3−52−3+521−51+51−51+53+523−52−1+5−1−5−3−52−3+52−1+5−1+5−1−5−1−51−51−51+51+5-111-13+523−52−3−52−3+52-1-11100000000−2i2i−2i2i00000000000000000000ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000
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χ714-4-44-443−523+52−1−5−1+5−3+52−3−521+51−51+51−53−523+52−1−5−1+5−3+52−3−521+51+51−51−5−1−5−1−5−1+5−1+5-111-1−3+52−3−523−523+5211-1-1000000002i−2i−2i2i00000000000000000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000
χ724-4-44-443−523+52−1−5−1+5−3+52−3−521+51−51+51−53−523+52−1−5−1+5−3+52−3−521+51+51−51−5−1−5−1−5−1+5−1+5-111-1−3+52−3−523−523+5211-1-100000000−2i2i2i−2i00000000000000000000ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000
χ734-4-44-443+523−52−1+5−1−5−3−52−3+521−51+51−51+53+523−52−1+5−1−5−3−52−3+521−51−51+51+5−1+5−1+5−1−5−1−5-111-1−3−52−3+523+523−5211-1-1000000002i−2i−2i2i00000000000000000000−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000
χ744-4-44-443+523−52−1+5−1−5−3−52−3+521−51+51−51+53+523−52−1+5−1−5−3−52−3+521−51−51+51+5−1+5−1+5−1−5−1−5-111-1−3−52−3+523+523−5211-1-100000000−2i2i2i−2i00000000000000000000ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000
χ754-4-44-44−1−5−1+53+523−521+51−5−3−52−3+52−3−52−3+52−1−5−1+53+523−521+51−5−3−52−3−52−3+52−3+523+523+523−523−52-111-11+51−5−1−5−1+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
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χ77888888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23333-2-2-2-233330000000000000000000000000000000000000000000000
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χ7988-8-800-2-2-2-2-2-2-2-2222222222i5−2i52i5−2i52i5−2i52i5−2i533-3-30000−i5i5−i5i50000000000000000000000000000000000000000000000
χ8088-8-800-2-2-2-2-2-2-2-222222222−2i52i5−2i52i5−2i52i5−2i52i533-3-30000i5−i5i5−i50000000000000000000000000000000000000000000000
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χ8288-8-8003+53−5−2+25−2−253+53−5−2+25−2−252−252+25−3−5−3+52−252+25−3−5−3+500000000-2-222000000000000000000000000000000000000000000000000000000
χ838-88-800-2-2-2-22222-2-22222-2-22i5−2i52i5−2i5−2i52i5−2i52i53-33-30000−i5i5i5−i50000000000000000000000000000000000000000000000
χ848-88-800-2-2-2-22222-2-22222-2-2−2i52i5−2i52i52i5−2i52i5−2i53-33-30000i5−i5−i5i50000000000000000000000000000000000000000000000
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χ878-8-888-8-2-2-2-2222222-2-2-2-222-2-2-2-222223-3-33-2-22233-3-30000000000000000000000000000000000000000000000
χ888-8-88-88-2-2-2-2222222-2-2-2-2222222-2-2-2-23-3-3322-2-2-3-3330000000000000000000000000000000000000000000000

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