Finite Group Databasebeta

← Group #13104203

Character table — Group #13104203

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size111122444444444444444444444444888888888888101010101010101020202020202020202020202020202020202020202525252540404040404040405050100100100100
order12442455551010101010101010202020202020202020202020510101010102020202020208888888822444040404040404040404040404040404022441010101020202020244444
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
χ51111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-1iiii−i−i−i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-111-1-111ii−i−i
χ61111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-1iiii−i−i−i−i-11-11iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-111-1-11111−i−iii
χ71111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-1−i−i−i−iiiii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-111-1-111−i−iii
χ81111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-1−i−i−i−iiiii-11-11−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-111-1-11111ii−i−i
χ911-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−i1-1-11iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-111-11i−ii−i
χ1011-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−i-111-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-1-11−ii−ii
χ1111-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii1-1-11−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-111-11−ii−ii
χ1211-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii-111-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-1-11i−ii−i
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
χ182222-2-22222-2-2-2-2222222222222-2-2-2-22-2-2-2-22-2-222-2-20000000000000000000000000000222200000000-2-20000
χ1922-2-22-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000022-2-2000000002-20000
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−2i0022220000-2-2-2-22i2i−2i−2i2i2i−2i−2i000020000-2002i−2i00i2−i22−22−2i2−i20000i2i2−i2−i222−2−222−2−2i2i2−i2−i22-22i−2i00000000000000
χ222-22i−2i0022220000-2-2-2-22i2i−2i−2i2i2i−2i−2i000020000-2002i−2i002−2−i2i2i2−i2−22000022−2−2−i2−i2i2i2i2i2−i2−i2−2−222-22−2i2i00000000000000
χ232-22i−2i0022220000-2-2-2-22i2i−2i−2i2i2i−2i−2i000020000-2002i−2i00−22i2−i2−i2i22−20000−2−222i2i2−i2−i2−i2−i2i2i222−2−2-22−2i2i00000000000000
χ242-22i−2i0022220000-2-2-2-22i2i−2i−2i2i2i−2i−2i000020000-2002i−2i00−i2i2−22−22−i2i20000−i2−i2i2i2−2−222−2−222−i2−i2i2i22-22i−2i00000000000000
χ252-2−2i2i0022220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i000020000-200−2i2i00i2−i2−22−22i2−i20000i2i2−i2−i2−2−222−2−222i2i2−i2−i22-2−2i2i00000000000000
χ262-2−2i2i0022220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i000020000-200−2i2i002−2i2−i2−i2i2−22000022−2−2i2i2−i2−i2−i2−i2i2i2−2−222-222i−2i00000000000000
χ272-2−2i2i0022220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i000020000-200−2i2i00−22−i2i2i2−i22−20000−2−222−i2−i2i2i2i2i2−i2−i222−2−2-222i−2i00000000000000
χ282-2−2i2i0022220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i000020000-200−2i2i00−i2i22−22−2−i2i20000−i2−i2i2i222−2−222−2−2−i2−i2i2i22-2−2i2i00000000000000
χ29444444−1+5−1−53−523+52−1+5−1+5−1−5−1−5−1+5−1−53−523+52−1+5−1−5−1+5−1−53−523+523−523+52−1+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+5−1−53−523+52−1+5−1+5−1−5−1−5−1+5−1−53−523+52−1+5−1−5−1+5−1−53−523+523−523+52−1+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
χ314444443−523+52−1−5−1+53−523−523+523+523−523+52−1−5−1+53−523+523−523+52−1−5−1+5−1−5−1+53−523−523+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
χ324444443−523+52−1−5−1+53−523−523+523+523−523+52−1−5−1+53−523+523−523+52−1−5−1+5−1−5−1+53−523−523+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+523−52−1+5−1−53+523+523−523−523+523−52−1+5−1−53+523−523+523−52−1+5−1−5−1+5−1−53+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+523−52−1+5−1−53+523+523−523−523+523−52−1+5−1−53+523−523+523−52−1+5−1−5−1+5−1−53+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
χ35444444−1−5−1+53+523−52−1−5−1−5−1+5−1+5−1−5−1+53+523−52−1−5−1+5−1−5−1+53+523−523+523−52−1−5−1−5−1+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
χ36444444−1−5−1+53+523−52−1−5−1−5−1+5−1+5−1−5−1+53+523−52−1−5−1+5−1−5−1+53+523−523+523−52−1−5−1−5−1+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+5−1−53−523+521−51−51+51+5−1+5−1−53−523+52−1+5−1−5−1+5−1−53−523+523−523+521−51−51+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+5−1−53−523+521−51−51+51+5−1+5−1−53−523+52−1+5−1−5−1+5−1−53−523+523−523+521−51−51+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
χ394444-4-43−523+52−1−5−1+5−3+52−3+52−3−52−3−523−523+52−1−5−1+53−523+523−523+52−1−5−1+5−1−5−1+5−3+52−3+52−3−52−3−52-11+51−511-11+51−5-1-1112i2i2i2i−2i−2i−2i−2i0000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ404444-4-43−523+52−1−5−1+5−3+52−3+52−3−52−3−523−523+52−1−5−1+53−523+523−523+52−1−5−1+5−1−5−1+5−3+52−3+52−3−52−3−52-11+51−511-11+51−5-1-111−2i−2i−2i−2i2i2i2i2i0000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ414444-4-43+523−52−1+5−1−5−3−52−3−52−3+52−3+523+523−52−1+5−1−53+523−523+523−52−1+5−1−5−1+5−1−5−3−52−3−52−3+52−3+52-11−51+511-11−51+5-1-1112i2i2i2i−2i−2i−2i−2i0000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000000000000
χ424444-4-43+523−52−1+5−1−5−3−52−3−52−3+52−3+523+523−52−1+5−1−53+523−523+523−52−1+5−1−5−1+5−1−5−3−52−3−52−3+52−3+52-11−51+511-11−51+5-1-111−2i−2i−2i−2i2i2i2i2i0000ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000
χ434444-4-4−1−5−1+53+523−521+51+51−51−5−1−5−1+53+523−52−1−5−1+5−1−5−1+53+523−523+523−521+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
χ444444-4-4−1−5−1+53+523−521+51+51−51−5−1−5−1+53+523−52−1−5−1+5−1−5−1+53+523−523+523−521+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+5−1−53−523+52−1+5−1+5−1−5−1−5−1+5−1−53−523+521−51+51−51+5−3+52−3−52−3+52−3−521−51−51+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+5−1−53−523+52−1+5−1+5−1−5−1−5−1+5−1−53−523+521−51+51−51+5−3+52−3−52−3+52−3−521−51−51+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
χ4744-4-44-43−523+52−1−5−1+53−523−523+523+523−523+52−1−5−1+5−3+52−3−52−3+52−3−521+51−51+51−5−3+52−3+52−3−52−3−52-1−1−5−1+5-1-1-11+51−511112i2i−2i−2i2i2i−2i−2i0000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ4844-4-44-43−523+52−1−5−1+53−523−523+523+523−523+52−1−5−1+5−3+52−3−52−3+52−3−521+51−51+51−5−3+52−3+52−3−52−3−52-1−1−5−1+5-1-1-11+51−51111−2i−2i2i2i−2i−2i2i2i0000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ4944-4-44-43+523−52−1+5−1−53+523+523−523−523+523−52−1+5−1−5−3−52−3+52−3−52−3+521−51+51−51+5−3−52−3−52−3+52−3+52-1−1+5−1−5-1-1-11−51+511112i2i−2i−2i2i2i−2i−2i0000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000000000000
χ5044-4-44-43+523−52−1+5−1−53+523+523−523−523+523−52−1+5−1−5−3−52−3+52−3−52−3+521−51+51−51+5−3−52−3−52−3+52−3+52-1−1+5−1−5-1-1-11−51+51111−2i−2i2i2i−2i−2i2i2i0000ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000
χ5144-4-44-4−1−5−1+53+523−52−1−5−1−5−1+5−1+5−1−5−1+53+523−521+51−51+51−5−3−52−3+52−3−52−3+521+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
χ5244-4-44-4−1−5−1+53+523−52−1−5−1−5−1+5−1+5−1−5−1+53+523−521+51−51+51−5−3−52−3+52−3−52−3+521+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+5−1−53−523+521−51−51+51+5−1+5−1−53−523+521−51+51−51+5−3+52−3−52−3+52−3−52−1+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+5−1−53−523+521−51−51+51+5−1+5−1−53−523+521−51+51−51+5−3+52−3−52−3+52−3−52−1+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
χ5544-4-4-443−523+52−1−5−1+5−3+52−3+52−3−52−3−523−523+52−1−5−1+5−3+52−3−52−3+52−3−521+51−51+51−53−523−523+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
χ5644-4-4-443−523+52−1−5−1+5−3+52−3+52−3−52−3−523−523+52−1−5−1+5−3+52−3−52−3+52−3−521+51−51+51−53−523−523+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+523−52−1+5−1−5−3−52−3−52−3+52−3+523+523−52−1+5−1−5−3−52−3+52−3−52−3+521−51+51−51+53+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+523−52−1+5−1−5−3−52−3−52−3+52−3+523+523−52−1+5−1−5−3−52−3+52−3−52−3+521−51+51−51+53+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
χ5944-4-4-44−1−5−1+53+523−521+51+51−51−5−1−5−1+53+523−521+51−51+51−5−3−52−3+52−3−52−3+52−1−5−1−5−1+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
χ6044-4-4-44−1−5−1+53+523−521+51+51−51−5−1−5−1+53+523−521+51−51+51−5−3−52−3+52−3−52−3+52−1−5−1−5−1+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−4i003−523+52−1−5−1+55+52−5−525−52−5+52−3+52−3−521+51−5ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1005−5100−iii5−i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39000000000000000000
χ624-44i−4i003−523+52−1−5−1+55+52−5−525−52−5+52−3+52−3−521+51−5ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1005−5100−iii5−i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39000000000000000000
χ634-44i−4i003−523+52−1−5−1+5−5−525+52−5+525−52−3+52−3−521+51−5ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-100−55100−ii−i5i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29000000000000000000
χ644-44i−4i003−523+52−1−5−1+5−5−525+52−5+525−52−3+52−3−521+51−5ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-100−55100−ii−i5i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29000000000000000000
χ654-44i−4i003+523−52−1+5−1−55−52−5+525+52−5−52−3−52−3+521−51+52ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-100−55100−ii−i5i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23000000000000000000
χ664-44i−4i003+523−52−1+5−1−55−52−5+525+52−5−52−3−52−3+521−51+52ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-100−55100−ii−i5i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23000000000000000000
χ674-44i−4i003+523−52−1+5−1−5−5+525−52−5−525+52−3−52−3+521−51+52ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1005−5100−iii5−i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37000000000000000000
χ684-44i−4i003+523−52−1+5−1−5−5+525−52−5−525+52−3−52−3+521−51+52ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1005−5100−iii5−i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37000000000000000000
χ694-4−4i4i003−523+52−1−5−1+55+52−5−525−52−5+52−3+52−3−521+51−5−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1005−5100i−i−i5i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29000000000000000000
χ704-4−4i4i003−523+52−1−5−1+55+52−5−525−52−5+52−3+52−3−521+51−5−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1005−5100i−i−i5i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29000000000000000000
χ714-4−4i4i003−523+52−1−5−1+5−5−525+52−5+525−52−3+52−3−521+51−5−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-100−55100i−ii5−i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39000000000000000000
χ724-4−4i4i003−523+52−1−5−1+5−5−525+52−5+525−52−3+52−3−521+51−5−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-100−55100i−ii5−i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39000000000000000000
χ734-4−4i4i003+523−52−1+5−1−55−52−5+525+52−5−52−3−52−3+521−51+5−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-100−55100i−ii5−i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37000000000000000000
χ744-4−4i4i003+523−52−1+5−1−55−52−5+525+52−5−52−3−52−3+521−51+5−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-100−55100i−ii5−i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37000000000000000000
χ754-4−4i4i003+523−52−1+5−1−5−5+525−52−5−525+52−3−52−3+521−51+5−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1005−5100i−i−i5i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23000000000000000000
χ764-4−4i4i003+523−52−1+5−1−5−5+525−52−5−525+52−3−52−3+521−51+5−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1005−5100i−i−i5i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23000000000000000000
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
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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−2i2i2i−2i−2i2i2i2i5−2i52i5−2i5300−55-3003i−3i−i5i50000000000000000000000000000000000000000000000
χ828-88i−8i00-2-2-2-2−252525−252222−2i−2i2i2i−2i−2i2i2i−2i52i5−2i52i53005−5-3003i−3ii5−i50000000000000000000000000000000000000000000000
χ838-88i−8i00−2+25−2−253−53+500002−252+25−3+5−3−5−4ζ22−4ζ38−4ζ6−4ζ144ζ22+4ζ384ζ6+4ζ142ζ6+2ζ14+4ζ22+4ζ384ζ6+4ζ14+2ζ22+2ζ38−2ζ6−2ζ14−4ζ22−4ζ38−4ζ6−4ζ14−2ζ22−2ζ380000-20000200−2i2i000000000000000000000000000000000000000000000000
χ848-88i−8i00−2−25−2+253+53−500002+252−25−3−5−3+5−4ζ6−4ζ14−4ζ22−4ζ384ζ6+4ζ144ζ22+4ζ384ζ6+4ζ14+2ζ22+2ζ382ζ6+2ζ14+4ζ22+4ζ38−4ζ6−4ζ14−2ζ22−2ζ38−2ζ6−2ζ14−4ζ22−4ζ380000-20000200−2i2i000000000000000000000000000000000000000000000000
χ858-8−8i8i00-2-2-2-225−25−252522222i2i−2i−2i2i2i−2i−2i−2i52i5−2i52i5300−55-300−3i3ii5−i50000000000000000000000000000000000000000000000
χ868-8−8i8i00-2-2-2-2−252525−2522222i2i−2i−2i2i2i−2i−2i2i5−2i52i5−2i53005−5-300−3i3i−i5i50000000000000000000000000000000000000000000000
χ878-8−8i8i00−2+25−2−253−53+500002−252+25−3+5−3−54ζ22+4ζ384ζ6+4ζ14−4ζ22−4ζ38−4ζ6−4ζ14−2ζ6−2ζ14−4ζ22−4ζ38−4ζ6−4ζ14−2ζ22−2ζ382ζ6+2ζ14+4ζ22+4ζ384ζ6+4ζ14+2ζ22+2ζ380000-200002002i−2i000000000000000000000000000000000000000000000000
χ888-8−8i8i00−2−25−2+253+53−500002+252−25−3−5−3+54ζ6+4ζ144ζ22+4ζ38−4ζ6−4ζ14−4ζ22−4ζ38−4ζ6−4ζ14−2ζ22−2ζ38−2ζ6−2ζ14−4ζ22−4ζ384ζ6+4ζ14+2ζ22+2ζ382ζ6+2ζ14+4ζ22+4ζ380000-200002002i−2i000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.