Finite Group Databasebeta

← Group #11991718

Character table — Group #11991718

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222222224444444444444488888888888888888888888888888888161616161616161616161616161616161616404040404040404080808080
order1222445510101010101020202020202020202444442020202020202020444488881010202020202020404040404040404040404040404040408820202020202020204040404040404040222444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-111
χ6111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-11-1-111
χ91111-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1ii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1111-1-1-1-1iiii−i−i−i−i1-111-11-1-1i−ii−i
χ101111-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1ii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1111-1-1-1-1iiii−i−i−i−i-11-1-11-111−ii−ii
χ111111-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1111-1-1-1-1−i−i−i−iiiii1-111-11-1-1−ii−ii
χ121111-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1111-1-1-1-1−i−i−i−iiiii-11-1-11-111i−ii−i
χ131111-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111ii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-1-1-11111−i−i−i−iiiii1-1-1-111-11−iii−i
χ141111-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111ii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-1-1-11111−i−i−i−iiiii-1111-1-11-1i−i−ii
χ151111-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-1-1-11111iiii−i−i−i−i1-1-1-111-11i−i−ii
χ161111-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-1-1-11111iiii−i−i−i−i-1111-1-11-1−iii−i
χ17222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000000000000000000000000000002-2000-2200000
χ18222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000000000-220002-200000
χ192222222222222222222222-2-22-22-2222222222-22-20000-2-2-2-2-2-2-2-200000000000000000022-2-222-2-200000000000000000000
χ202222222222222222222222-2-22-22-222222222-22-220000-2-2-2-2-2-2-2-2000000000000000000-2-222-2-22200000000000000000000
χ212222222222222222222222-2-2-22-22-2-2-2-2-2-2-2-200000000-2-2-2-222220000000000000000000000000000000000002-2-20020000
χ222222222222222222222222-2-2-22-22-2-2-2-2-2-2-2-200000000-2-2-2-22222000000000000000000000000000000000000-22200-20000
χ23222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52000000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000
χ25222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+52000000000000
χ26222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ27222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-200001−521+521−521+521−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−1+52−1−521−521+52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ28222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-200001−521+521−521+521−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−521−521+52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ29222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2200001−521+521−521+521−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+52−1+52−1−521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ30222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2200001−521+521−521+521−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+52−1+52−1−521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ31222222−1−52−1+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+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+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+52000000000000
χ32222222−1−52−1+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+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000
χ33222222−1−52−1+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+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−52000000000000
χ34222222−1−52−1+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+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ35222222−1−52−1+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+52-2-22-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-200001+521−521+521−521+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−1−52−1+521+521−52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ36222222−1−52−1+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+52-2-22-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-200001+521−521+521−521+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−1−52−1+521+521−52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ37222222−1−52−1+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+52-2-22-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2200001+521−521+521−521+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28001+521−52−1−52−1+521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ38222222−1−52−1+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+52-2-22-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2200001+521−521+521−521+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28001+521−52−1−52−1+521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ392222-2-222222222-2-2-2-2-2-2-2-22-22-2-222222-2-2-2-22-2-22000022-2-2-2-22200000000000000000022-2-2-2-22200000000000000000000
χ402222-2-222222222-2-2-2-2-2-2-2-22-22-2-222222-2-2-2-2-222-2000022-2-2-2-222000000000000000000-2-22222-2-200000000000000000000
χ412222-2-222222222-2-2-2-2-2-2-2-22-2-222-2-2-2-2-222220000000022-2-222-2-20000000000000000000000000000000000002-2200-20000
χ422222-2-222222222-2-2-2-2-2-2-2-22-2-222-2-2-2-2-222220000000022-2-222-2-2000000000000000000000000000000000000-22-20020000
χ432222-2-222222222-2-2-2-2-2-2-2-2-22-2-222-2-2-2-2222200000000-2-222-2-222000000000000000000000000000000000022000-2-200000
χ442222-2-222222222-2-2-2-2-2-2-2-2-22-2-222-2-2-2-2222200000000-2-222-2-2220000000000000000000000000000000000-2-20002200000
χ452222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-2-22−1+52−1+52−1−52−1−521−521−521+521+522-2-220000−1+52−1−521−521+521−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1+52−1−521−521+521−521+52−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ462222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-2-22−1+52−1+52−1−52−1−521−521−521+521+522-2-220000−1+52−1−521−521+521−521+52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1+52−1−521−521+521−521+52−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ472222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-2-22−1+52−1+52−1−52−1−521−521−521+521+52-222-20000−1+52−1−521−521+521−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14001−521+52−1+52−1−52−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ482222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-2-22−1+52−1+52−1−52−1−521−521−521+521+52-222-20000−1+52−1−521−521+521−521+52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14001−521+52−1+52−1−52−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ492222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+5222-2-22i2i−2i−2i1−521+52−1+52−1−52−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ142i−2i−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000
χ502222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+5222-2-2−2i−2i2i2i1−521+52−1+52−1−52−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−2i2i−1+52−1−52−1+52−1−521−521+521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000
χ512222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+52-2-2222i2i−2i−2i1−521+52−1+52−1−52−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−2i2i1−521+521−521+52−1+52−1−52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000
χ522222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+52-2-222−2i−2i2i2i1−521+52−1+52−1−52−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ142i−2i1−521+521−521+52−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000
χ532222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-22-2-22−1−52−1−52−1+52−1+521+521+521−521−522-2-220000−1−52−1+521+521−521+521−52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800−1−52−1+521+521−521+521−52−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38000000000000
χ542222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-22-2-22−1−52−1−52−1+52−1+521+521+521−521−522-2-220000−1−52−1+521+521−521+521−52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800−1−52−1+521+521−521+521−52−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38000000000000
χ552222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-22-2-22−1−52−1−52−1+52−1+521+521+521−521−52-222-20000−1−52−1+521+521−521+521−52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38001+521−52−1−52−1+52−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38000000000000
χ562222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-22-2-22−1−52−1−52−1+52−1+521+521+521−521−52-222-20000−1−52−1+521+521−521+521−52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38001+521−52−1−52−1+52−1−52−1+521+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38000000000000
χ572222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2222-2-2−1−52−1−52−1+52−1+521+521+521−521−5222-2-22i2i−2i−2i1+521−52−1−52−1+52−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ382i−2i−1−52−1+52−1−52−1+521+521−521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000
χ582222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2222-2-2−1−52−1−52−1+52−1+521+521+521−521−5222-2-2−2i−2i2i2i1+521−52−1−52−1+52−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−2i2i−1−52−1+52−1−52−1+521+521−521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000
χ592222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2222-2-2−1−52−1−52−1+52−1+521+521+521−521−52-2-2222i2i−2i−2i1+521−52−1−52−1+52−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−2i2i1+521−521+521−52−1−52−1+52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000
χ602222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2222-2-2−1−52−1−52−1+52−1+521+521+521−521−52-2-222−2i−2i2i2i1+521−52−1−52−1+52−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ382i−2i1+521−521+521−52−1−52−1+52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000
χ61444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−544-4-4-4-41−51−51+51+51−51−51+51+500000000−1+5−1−5−1+5−1−51−51+51−51+50000000000000000000000000000000000000000000000
χ62444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5-4-4-44-441−51−51+51+51−51−51+51+5000000001−51+51−51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000
χ63444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+544-4-4-4-41+51+51−51−51+51+51−51−500000000−1−5−1+5−1−5−1+51+51−51+51−50000000000000000000000000000000000000000000000
χ64444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5-4-4-44-441+51+51−51−51+51+51−51−5000000001+51−51+51−5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000
χ654444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+54-4-444-41−51−51+51+5−1+5−1+5−1−5−1−500000000−1+5−1−51−51+5−1+5−1−51−51+50000000000000000000000000000000000000000000000
χ664444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5-44-4-4441−51−51+51+5−1+5−1+5−1−5−1−5000000001−51+5−1+5−1−51−51+5−1+5−1−50000000000000000000000000000000000000000000000
χ674444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−54-4-444-41+51+51−51−5−1−5−1−5−1+5−1+500000000−1−5−1+51+51−5−1−5−1+51+51−50000000000000000000000000000000000000000000000
χ684444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5-44-4-4441+51+51−51−5−1−5−1−5−1+5−1+5000000001+51−5−1−5−1+51+51−5−1−5−1+50000000000000000000000000000000000000000000000
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χ734-44-44i−4i−1+5−1−51−51+5−1+51−5−1−51+5−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000002ζ37−2ζ372ζ13−2ζ132ζ21−2ζ212ζ29−2ζ292ζ7−2ζ72ζ23−2ζ232ζ31−2ζ312ζ39−2ζ39000000000000000000000000000000
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χ814-44-4−4i4i−1+5−1−51−51+5−1+51−5−1−51+52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ140000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002ζ23−2ζ232ζ7−2ζ72ζ39−2ζ392ζ31−2ζ312ζ13−2ζ132ζ37−2ζ372ζ29−2ζ292ζ21−2ζ21000000000000000000000000000000
χ824-44-4−4i4i−1+5−1−51−51+5−1+51−5−1−51+52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ140000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−2ζ232ζ23−2ζ72ζ7−2ζ392ζ39−2ζ312ζ31−2ζ132ζ13−2ζ372ζ37−2ζ292ζ29−2ζ212ζ21000000000000000000000000000000
χ834-44-4−4i4i−1+5−1−51−51+5−1+51−5−1−51+52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002ζ7−2ζ72ζ23−2ζ232ζ31−2ζ312ζ39−2ζ392ζ37−2ζ372ζ13−2ζ132ζ21−2ζ212ζ29−2ζ29000000000000000000000000000000
χ844-44-4−4i4i−1+5−1−51−51+5−1+51−5−1−51+52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−2ζ72ζ7−2ζ232ζ23−2ζ312ζ31−2ζ392ζ39−2ζ372ζ37−2ζ132ζ13−2ζ212ζ21−2ζ292ζ29000000000000000000000000000000
χ854-44-4−4i4i−1−5−1+51+51−5−1−51+5−1+51−52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002ζ39−2ζ392ζ31−2ζ312ζ7−2ζ72ζ23−2ζ232ζ29−2ζ292ζ21−2ζ212ζ37−2ζ372ζ13−2ζ13000000000000000000000000000000
χ864-44-4−4i4i−1−5−1+51+51−5−1−51+5−1+51−52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−2ζ392ζ39−2ζ312ζ31−2ζ72ζ7−2ζ232ζ23−2ζ292ζ29−2ζ212ζ21−2ζ372ζ37−2ζ132ζ13000000000000000000000000000000
χ874-44-4−4i4i−1−5−1+51+51−5−1−51+5−1+51−52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ380000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002ζ31−2ζ312ζ39−2ζ392ζ23−2ζ232ζ7−2ζ72ζ21−2ζ212ζ29−2ζ292ζ13−2ζ132ζ37−2ζ37000000000000000000000000000000
χ884-44-4−4i4i−1−5−1+51+51−5−1−51+5−1+51−52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ380000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−2ζ312ζ31−2ζ392ζ39−2ζ232ζ23−2ζ72ζ7−2ζ212ζ21−2ζ292ζ29−2ζ132ζ13−2ζ372ζ37000000000000000000000000000000
χ8988-8-8008888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800−2+25−2−25−2+25−2−252−252−252+252+254ζ12−4ζ28−4ζ12+4ζ284ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36−4ζ4+4ζ364ζ4−4ζ360000000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800−2+25−2−25−2+25−2−252−252−252+252+25−4ζ12+4ζ284ζ12−4ζ28−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ364ζ4−4ζ36−4ζ4+4ζ360000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800−2−25−2+25−2−25−2+252+252+252−252−25−4ζ4+4ζ364ζ4−4ζ36−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ28−4ζ12+4ζ284ζ12−4ζ280000000000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800−2−25−2+25−2−25−2+252+252+252−252−254ζ4−4ζ36−4ζ4+4ζ364ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ284ζ12−4ζ28−4ζ12+4ζ280000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-880088-8-8-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800−2+25−2−252−252+252−25−2+252+25−2−25−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800−2+25−2−252−252+252−25−2+252+25−2−254ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-8800−2−25−2+252+252−252+25−2−252−25−2+254ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-8800−2−25−2+252+252−252+25−2−252−25−2+25−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000

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