Finite Group Databasebeta

← Group #13104284

Character table — Group #13104284

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11444444448820202020202020202020505050114444444488202020202020202020205050501144444444882020202020202020202050505011444444448820202020202020202020505050
order12555510101010510241010101020202020488442020202020202020202044202020202020202048822101010101010101010102410101010202020204884420202020202020202020442020202020202020488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-11111-1-1-1-11-1-11111111111111-11111-1-1-1-11-1-11111111111111-11111-1-1-1-11-1-11111111111111-11111-1-1-1-11-1-1
χ3111111111111-11-1-1-1-111111-1-1111111111111-11-1-1-1-111111-1-1111111111111-11-1-1-1-111111-1-1111111111111-11-1-1-1-111111-1-1
χ4111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111
χ52222222222220000000000-2002222222222220000000000-2002222222222220000000000-2002222222222220000000000-200
χ62-22222-2-2-2-22-200000000000i2−i22-22222-2-2-2-22-200000000000i2−i22-22222-2-2-2-22-200000000000i2−i22-22222-2-2-2-22-200000000000i2−i2
χ72-22222-2-2-2-22-200000000000−i2i22-22222-2-2-2-22-200000000000−i2i22-22222-2-2-2-22-200000000000−i2i22-22222-2-2-2-22-200000000000−i2i2
χ844−1+5−1−53−523+523−523+52−1+5−1−5-1-120−1+52−1+52−1−52−1−52000000044−1+5−1−53−523+523−523+52−1+5−1−5-1-120−1+52−1+52−1−52−1−52000000044−1+5−1−53−523+523−523+52−1+5−1−5-1-120−1+52−1+52−1−52−1−52000000044−1+5−1−53−523+523−523+52−1+5−1−5-1-120−1+52−1+52−1−52−1−520000000
χ944−1+5−1−53−523+523−523+52−1+5−1−5-1-1-201−521−521+521+52000000044−1+5−1−53−523+523−523+52−1+5−1−5-1-1-201−521−521+521+52000000044−1+5−1−53−523+523−523+52−1+5−1−5-1-1-201−521−521+521+52000000044−1+5−1−53−523+523−523+52−1+5−1−5-1-1-201−521−521+521+520000000
χ10443−523+52−1−5−1+5−1−5−1+53−523+52-1-1020000−1+52−1+52−1−52−1−52000443−523+52−1−5−1+5−1−5−1+53−523+52-1-1020000−1+52−1+52−1−52−1−52000443−523+52−1−5−1+5−1−5−1+53−523+52-1-1020000−1+52−1+52−1−52−1−52000443−523+52−1−5−1+5−1−5−1+53−523+52-1-1020000−1+52−1+52−1−52−1−52000
χ11443−523+52−1−5−1+5−1−5−1+53−523+52-1-10-200001−521−521+521+52000443−523+52−1−5−1+5−1−5−1+53−523+52-1-10-200001−521−521+521+52000443−523+52−1−5−1+5−1−5−1+53−523+52-1-10-200001−521−521+521+52000443−523+52−1−5−1+5−1−5−1+53−523+52-1-10-200001−521−521+521+52000
χ12443+523−52−1+5−1−5−1+5−1−53+523−52-1-1020000−1−52−1−52−1+52−1+52000443+523−52−1+5−1−5−1+5−1−53+523−52-1-1020000−1−52−1−52−1+52−1+52000443+523−52−1+5−1−5−1+5−1−53+523−52-1-1020000−1−52−1−52−1+52−1+52000443+523−52−1+5−1−5−1+5−1−53+523−52-1-1020000−1−52−1−52−1+52−1+52000
χ13443+523−52−1+5−1−5−1+5−1−53+523−52-1-10-200001+521+521−521−52000443+523−52−1+5−1−5−1+5−1−53+523−52-1-10-200001+521+521−521−52000443+523−52−1+5−1−5−1+5−1−53+523−52-1-10-200001+521+521−521−52000443+523−52−1+5−1−5−1+5−1−53+523−52-1-10-200001+521+521−521−52000
χ1444−1−5−1+53+523−523+523−52−1−5−1+5-1-120−1−52−1−52−1+52−1+52000000044−1−5−1+53+523−523+523−52−1−5−1+5-1-120−1−52−1−52−1+52−1+52000000044−1−5−1+53+523−523+523−52−1−5−1+5-1-120−1−52−1−52−1+52−1+52000000044−1−5−1+53+523−523+523−52−1−5−1+5-1-120−1−52−1−52−1+52−1+520000000
χ1544−1−5−1+53+523−523+523−52−1−5−1+5-1-1-201+521+521−521−52000000044−1−5−1+53+523−523+523−52−1−5−1+5-1-1-201+521+521−521−52000000044−1−5−1+53+523−523+523−52−1−5−1+5-1-1-201+521+521−521−52000000044−1−5−1+53+523−523+523−52−1−5−1+5-1-1-201+521+521−521−520000000
χ164-4−1+5−1−53−523+52−3+52−3−521−51+5-1100ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000004-4−1+5−1−53−523+52−3+52−3−521−51+5-1100ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000004-4−1+5−1−53−523+52−3+52−3−521−51+5-1100ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000004-4−1+5−1−53−523+52−3+52−3−521−51+5-1100ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ174-4−1+5−1−53−523+52−3+52−3−521−51+5-1100−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000004-4−1+5−1−53−523+52−3+52−3−521−51+5-1100−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000004-4−1+5−1−53−523+52−3+52−3−521−51+5-1100−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000004-4−1+5−1−53−523+52−3+52−3−521−51+5-1100−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ184-43−523+52−1−5−1+51+51−5−3+52−3−52-11000000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140004-43−523+52−1−5−1+51+51−5−3+52−3−52-11000000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140004-43−523+52−1−5−1+51+51−5−3+52−3−52-11000000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140004-43−523+52−1−5−1+51+51−5−3+52−3−52-11000000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000
χ194-43−523+52−1−5−1+51+51−5−3+52−3−52-11000000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140004-43−523+52−1−5−1+51+51−5−3+52−3−52-11000000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140004-43−523+52−1−5−1+51+51−5−3+52−3−52-11000000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140004-43−523+52−1−5−1+51+51−5−3+52−3−52-11000000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000
χ204-43+523−52−1+5−1−51−51+5−3−52−3+52-11000000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380004-43+523−52−1+5−1−51−51+5−3−52−3+52-11000000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380004-43+523−52−1+5−1−51−51+5−3−52−3+52-11000000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380004-43+523−52−1+5−1−51−51+5−3−52−3+52-11000000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000
χ214-43+523−52−1+5−1−51−51+5−3−52−3+52-11000000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380004-43+523−52−1+5−1−51−51+5−3−52−3+52-11000000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380004-43+523−52−1+5−1−51−51+5−3−52−3+52-11000000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380004-43+523−52−1+5−1−51−51+5−3−52−3+52-11000000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000
χ224-4−1−5−1+53+523−52−3−52−3+521+51−5-1100−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000004-4−1−5−1+53+523−52−3−52−3+521+51−5-1100−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000004-4−1−5−1+53+523−52−3−52−3+521+51−5-1100−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000004-4−1−5−1+53+523−52−3−52−3+521+51−5-1100−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ234-4−1−5−1+53+523−52−3−52−3+521+51−5-1100ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000004-4−1−5−1+53+523−52−3−52−3+521+51−5-1100ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000004-4−1−5−1+53+523−52−3−52−3+521+51−5-1100ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000004-4−1−5−1+53+523−52−3−52−3+521+51−5-1100ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ2488-2-2-2-2-2-2-2-233000000000000088-2-2-2-2-2-2-2-233000000000000088-2-2-2-2-2-2-2-233000000000000088-2-2-2-2-2-2-2-2330000000000000
χ258-8-2-2-2-222223-300000000000008-8-2-2-2-222223-300000000000008-8-2-2-2-222223-300000000000008-8-2-2-2-222223-30000000000000
χ261111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ271111111111111-11111-1-1-1-11-1-1iiiiiiiiiiiii−iiiii−i−i−i−ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-111−i−i−i−i−i−i−i−i−i−i−i−i−ii−i−i−i−iiiii−iii
χ28111111111111-11-1-1-1-111111-1-1iiiiiiiiiiii−ii−i−i−i−iiiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−ii−iiiii−i−i−i−i−iii
χ29111111111111-1-1-1-1-1-1-1-1-1-1111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiii-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i
χ302222222222220000000000-2002i2i2i2i2i2i2i2i2i2i2i2i0000000000−2i00-2-2-2-2-2-2-2-2-2-2-2-20000000000200−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i00000000002i00
χ312-22222-2-2-2-22-200000000000i2−i22i−2i2i2i2i2i−2i−2i−2i−2i2i−2i00000000000−22-22-2-2-2-22222-2200000000000−i2i2−2i2i−2i−2i−2i−2i2i2i2i2i−2i2i000000000002−2
χ322-22222-2-2-2-22-200000000000−i2i22i−2i2i2i2i2i−2i−2i−2i−2i2i−2i000000000002−2-22-2-2-2-22222-2200000000000i2−i2−2i2i−2i−2i−2i−2i2i2i2i2i−2i2i00000000000−22
χ3344−1+5−1−53−523+523−523+52−1+5−1−5-1-120−1+52−1+52−1−52−1−5200000004i4i−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14−i−i2i0−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000-4-41−51+5−3+52−3−52−3+52−3−521−51+511-201−521−521+521+520000000−4i−4i2ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14ii−2i0ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000
χ3444−1+5−1−53−523+523−523+52−1+5−1−5-1-1-201−521−521+521+5200000004i4i−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14−i−i−2i0ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000-4-41−51+5−3+52−3−52−3+52−3−521−51+51120−1+52−1+52−1−52−1−520000000−4i−4i2ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14ii2i0−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000
χ35443−523+52−1−5−1+5−1−5−1+53−523+52-1-1020000−1+52−1+52−1−52−1−520004i4iζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−i−i02i0000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000-4-4−3+52−3−521+51−51+51−5−3+52−3−52110-200001−521−521+521+52000−4i−4i−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ii0−2i0000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000
χ36443−523+52−1−5−1+5−1−5−1+53−523+52-1-10-200001−521−521+521+520004i4iζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−i−i0−2i0000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000-4-4−3+52−3−521+51−51+51−5−3+52−3−5211020000−1+52−1+52−1−52−1−52000−4i−4i−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ii02i0000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000
χ37443+523−52−1+5−1−5−1+5−1−53+523−52-1-1020000−1−52−1−52−1+52−1+520004i4i2ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−i−i02i0000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000-4-4−3−52−3+521−51+51−51+5−3−52−3+52110-200001+521+521−521−52000−4i−4i−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38ii0−2i0000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000
χ38443+523−52−1+5−1−5−1+5−1−53+523−52-1-10-200001+521+521−521−520004i4i2ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−i−i0−2i0000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000-4-4−3−52−3+521−51+51−51+5−3−52−3+5211020000−1−52−1−52−1+52−1+52000−4i−4i−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38ii02i0000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000
χ3944−1−5−1+53+523−523+523−52−1−5−1+5-1-120−1−52−1−52−1+52−1+5200000004i4i−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−i−i2i0−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000-4-41+51−5−3−52−3+52−3−52−3+521+51−511-201+521+521−521−520000000−4i−4i2ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ii−2i0ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000
χ4044−1−5−1+53+523−523+523−52−1−5−1+5-1-1-201+521+521−521−5200000004i4i−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−i−i−2i0ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000-4-41+51−5−3−52−3+52−3−52−3+521+51−51120−1−52−1−52−1+52−1+520000000−4i−4i2ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ii2i0−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000
χ414-4−1+5−1−53−523+52−3+52−3−521−51+5-1100ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000004i−4i−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ii00ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000-441−51+5−3+52−3−523−523+52−1+5−1−51-100−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000−4i4i2ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14i−i00−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000
χ424-4−1+5−1−53−523+52−3+52−3−521−51+5-1100−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000004i−4i−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ii00−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000-441−51+5−3+52−3−523−523+52−1+5−1−51-100ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000−4i4i2ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14i−i00ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000
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χ822-22222-2-2-2-22-200000000000−i2i2−2i2i−2i−2i−2i−2i2i2i2i2i−2i2i00000000000−22-22-2-2-2-22222-2200000000000i2−i22i−2i2i2i2i2i−2i−2i−2i−2i2i−2i000000000002−2
χ8344−1+5−1−53−523+523−523+52−1+5−1−5-1-120−1+52−1+52−1−52−1−520000000−4i−4i2ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14ii−2i0ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000-4-41−51+5−3+52−3−52−3+52−3−521−51+511-201−521−521+521+5200000004i4i−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14−i−i2i0−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000
χ8444−1+5−1−53−523+523−523+52−1+5−1−5-1-1-201−521−521+521+520000000−4i−4i2ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14ii2i0−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000-4-41−51+5−3+52−3−52−3+52−3−521−51+51120−1+52−1+52−1−52−1−5200000004i4i−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14−i−i−2i0ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000
χ85443−523+52−1−5−1+5−1−5−1+53−523+52-1-1020000−1+52−1+52−1−52−1−52000−4i−4i−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ii0−2i0000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000-4-4−3+52−3−521+51−51+51−5−3+52−3−52110-200001−521−521+521+520004i4iζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−i−i02i0000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000
χ86443−523+52−1−5−1+5−1−5−1+53−523+52-1-10-200001−521−521+521+52000−4i−4i−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ii02i0000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000-4-4−3+52−3−521+51−51+51−5−3+52−3−5211020000−1+52−1+52−1−52−1−520004i4iζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−i−i0−2i0000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000
χ87443+523−52−1+5−1−5−1+5−1−53+523−52-1-1020000−1−52−1−52−1+52−1+52000−4i−4i−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38ii0−2i0000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000-4-4−3−52−3+521−51+51−51+5−3−52−3+52110-200001+521+521−521−520004i4i2ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−i−i02i0000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000
χ88443+523−52−1+5−1−5−1+5−1−53+523−52-1-10-200001+521+521−521−52000−4i−4i−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38ii02i0000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000-4-4−3−52−3+521−51+51−51+5−3−52−3+5211020000−1−52−1−52−1+52−1+520004i4i2ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−i−i0−2i0000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000
χ8944−1−5−1+53+523−523+523−52−1−5−1+5-1-120−1−52−1−52−1+52−1+520000000−4i−4i2ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ii−2i0ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000-4-41+51−5−3−52−3+52−3−52−3+521+51−511-201+521+521−521−5200000004i4i−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−i−i2i0−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000
χ9044−1−5−1+53+523−523+523−52−1−5−1+5-1-1-201+521+521−521−520000000−4i−4i2ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ii2i0−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000-4-41+51−5−3−52−3+52−3−52−3+521+51−51120−1−52−1−52−1+52−1+5200000004i4i−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−i−i−2i0ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000
χ914-4−1+5−1−53−523+52−3+52−3−521−51+5-1100ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000−4i4i2ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14i−i00−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000-441−51+5−3+52−3−523−523+52−1+5−1−51-100−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000004i−4i−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ii00ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000
χ924-4−1+5−1−53−523+52−3+52−3−521−51+5-1100−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000−4i4i2ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14i−i00ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000-441−51+5−3+52−3−523−523+52−1+5−1−51-100ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000004i−4i−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ii00−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000
χ934-43−523+52−1−5−1+51+51−5−3+52−3−52-11000000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000−4i4i−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38i−i000000−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36000-44−3+52−3−521+51−5−1−5−1+53−523+521-1000000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140004i−4iζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−ii000000ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36000
χ944-43−523+52−1−5−1+51+51−5−3+52−3−52-11000000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000−4i4i−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38i−i000000ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36000-44−3+52−3−521+51−5−1−5−1+53−523+521-1000000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140004i−4iζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−ii000000−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36000
χ954-43+523−52−1+5−1−51−51+5−3−52−3+52-11000000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000−4i4i−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38i−i000000−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28000-44−3−52−3+521−51+5−1+5−1−53+523−521-1000000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380004i−4i2ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ii000000ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28000
χ964-43+523−52−1+5−1−51−51+5−3−52−3+52-11000000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000−4i4i−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38i−i000000ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28000-44−3−52−3+521−51+5−1+5−1−53+523−521-1000000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380004i−4i2ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ii000000−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28000
χ974-4−1−5−1+53+523−52−3−52−3+521+51−5-1100−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000−4i4i2ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38i−i00−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ380000000-441+51−5−3−52−3+523+523−52−1−5−1+51-100ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000004i−4i−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−ii00ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ380000000
χ984-4−1−5−1+53+523−52−3−52−3+521+51−5-1100ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000−4i4i2ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38i−i00ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ380000000-441+51−5−3−52−3+523+523−52−1−5−1+51-100−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000004i−4i−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−ii00−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ380000000
χ9988-2-2-2-2-2-2-2-2330000000000000−8i−8i2i2i2i2i2i2i2i2i−3i−3i0000000000000-8-822222222-3-300000000000008i8i−2i−2i−2i−2i−2i−2i−2i−2i3i3i0000000000000
χ1008-8-2-2-2-222223-30000000000000−8i8i2i2i2i2i−2i−2i−2i−2i−3i3i0000000000000-882222-2-2-2-2-3300000000000008i−8i−2i−2i−2i−2i2i2i2i2i3i−3i0000000000000

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