Finite Group Databasebeta

← Group #13101152

Character table — Group #13101152

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111122222222224444444444444410101010202022224444444444888888888888882020202040402222444444444488888888888888202020204040555510101010101010101010202020202020202020202020202050505050100100
order12442455101020202020881010202040404040404040408888885102020102055101020202020404010102020404040404040404040404040404051020201020551010202020204040101020204040404040404040404040404040224424101010102020202088101020204040404040404040888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1
χ311111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i11-1-1i−i11-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i11-1-1i−i11-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i11-1-1i−i11-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i11-1-1i−i
χ611-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i-1-111−ii11-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i-1-111−ii11-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i-1-111−ii11-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i-1-111−ii
χ711-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii11-1-1−ii11-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii11-1-1−ii11-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii11-1-1−ii11-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii11-1-1−ii
χ811-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii-1-111i−i11-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii-1-111i−i11-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii-1-111i−i11-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii-1-111i−i
χ9222222−1+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+52−1−52−1−52000000222222−1+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+52−1−52−1−52000000222222−1+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+52−1−52−1−52000000222222−1+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+52−1−52−1−52000000
χ10222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000
χ11222222−1−52−1+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+52000000222222−1−52−1+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+52000000222222−1−52−1+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+52000000222222−1−52−1+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+52000000
χ12222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000
χ132222-2-22222222200-2-2-2-2000000000000002222-2-22222222200-2-2-2-2000000000000002222-2-22222222200-2-2-2-2000000000000002222-2-22222222200-2-2-2-200000000000000
χ142222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000
χ152222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000
χ162222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000
χ172222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000
χ1822-2-22-22222-2-2-2-20022-2-20000000000000022-2-22-22222-2-2-2-20022-2-20000000000000022-2-22-22222-2-2-2-20022-2-20000000000000022-2-22-22222-2-2-2-20022-2-200000000000000
χ1922-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14000000
χ2022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14000000
χ2122-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38000000
χ2222-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38000000
χ2322-2-2-22−1+52−1−52−1+52−1−521−521−521+521+522i−2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+522i−2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+522i−2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+522i−2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000
χ2422-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−2i2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−2i2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−2i2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−2i2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000
χ2522-2-2-22−1−52−1+52−1−52−1+521+521+521−521−522i−2i1+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−522i−2i1+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−522i−2i1+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−522i−2i1+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000
χ2622-2-2-22−1−52−1+52−1−52−1+521+521+521−521−52−2i2i1+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−52−2i2i1+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−52−2i2i1+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−52−2i2i1+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000
χ272-22i−2i0022-2-22i−2i2i−2i00000000000000i2−i22−2002-22i−2i0022-2-22i−2i2i−2i00000000000000i2−i22−2002-22i−2i0022-2-22i−2i2i−2i00000000000000i2−i22−2002-22i−2i0022-2-22i−2i2i−2i00000000000000i2−i22−200
χ282-22i−2i0022-2-22i−2i2i−2i00000000000000−i2i2−22002-22i−2i0022-2-22i−2i2i−2i00000000000000−i2i2−22002-22i−2i0022-2-22i−2i2i−2i00000000000000−i2i2−22002-22i−2i0022-2-22i−2i2i−2i00000000000000−i2i2−2200
χ292-2−2i2i0022-2-2−2i2i−2i2i00000000000000i2−i2−22002-2−2i2i0022-2-2−2i2i−2i2i00000000000000i2−i2−22002-2−2i2i0022-2-2−2i2i−2i2i00000000000000i2−i2−22002-2−2i2i0022-2-2−2i2i−2i2i00000000000000i2−i2−2200
χ302-2−2i2i0022-2-2−2i2i−2i2i00000000000000−i2i22−2002-2−2i2i0022-2-2−2i2i−2i2i00000000000000−i2i22−2002-2−2i2i0022-2-2−2i2i−2i2i00000000000000−i2i22−2002-2−2i2i0022-2-2−2i2i−2i2i00000000000000−i2i22−200
χ314-44i−4i00−1+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000004-44i−4i00−1+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000004-44i−4i00−1+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000004-44i−4i00−1+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000
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χ46222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000-2-2-2-2-2-21+521−521+521−521+521+521−521−52221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000
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χ1194444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000−1−5−1−5−1−5−1−51+51+53+52-13+52-13+523+52-1-100−3−521−3−521−ζ12+ζ28ζ12−ζ28−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ12+ζ28ζ12−ζ28−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36000000−1+5−1+5−1+5−1+51−51−5-13−52-13−52-1-13−523−52001−3+521−3+52−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4−ζ36−ζ4+ζ360000000000000000000000000000000000000000
χ12044-4-44-44444-4-4-4-40044-4-400000000000000−1−5−1−51+51+5−1−51+5−1−5−1−5−1−5−1−51+51+51+51+500−1−5−1−51+51+500000000000000−1+5−1+51−51−5−1+51−5−1+5−1+5−1+5−1+51−51−51−51−500−1+5−1+51−51−5000000000000000000000000000000000000000000000000
χ12144-4-44-4−1+5−1−5−1+5−1−51−51−51+51+500−1+5−1−51−51+5−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14000000−1−5−1−51+51+5−1−51+5-13+52-13+5211−3−52−3−5200-13+521−3−52−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ22−ζ38−ζ22+ζ38000000−1+5−1+51−51−5−1+51−53−52-13−52-1−3+52−3+5211003−52-1−3+521ζ6−ζ14−ζ6+ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000000000000000000000000000000
χ12244-4-44-4−1+5−1−5−1+5−1−51−51−51+51+500−1+5−1−51−51+52ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ14000000−1−5−1−51+51+5−1−51+5-13+52-13+5211−3−52−3−5200-13+521−3−52ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38000000−1+5−1+51−51−5−1+51−53−52-13−52-1−3+52−3+5211003−52-1−3+521−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000000000000000000000000000000
χ12344-4-44-4−1−5−1+5−1−5−1+51+51+51−51−500−1−5−1+51+51−52ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38000000−1−5−1−51+51+5−1−51+53+52-13+52-1−3−52−3−5211003+52-1−3−521ζ22−ζ38−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38000000−1+5−1+51−51−5−1+51−5-13−52-13−5211−3+52−3+5200-13−521−3+52−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000000000000000000000000000000000000
χ12444-4-44-4−1−5−1+5−1−5−1+51+51+51−51−500−1−5−1+51+51−5−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38000000−1−5−1−51+51+5−1−51+53+52-13+52-1−3−52−3−5211003+52-1−3−521−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38000000−1+5−1+51−51−5−1+51−5-13−52-13−5211−3+52−3+5200-13−521−3+52ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000000000000000000000000000000000000
χ12544-4-4-44−1+5−1−5−1+5−1−51−51−51+51+54i−4i1−51+5−1+5−1−5−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14000000−1−5−1−51+51+51+5−1−5-13+52-13+5211−3−52−3−52−2ζ6−2ζ142ζ6+2ζ141−3−52-13+52−i−i2ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ii−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38000000−1+5−1+51−51−51−5−1+53−52-13−52-1−3+52−3+5211−2ζ22−2ζ382ζ22+2ζ38−3+5213−52-1ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−i−i−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38ii0000000000000000000000000000000000000000
χ12644-4-4-44−1+5−1−5−1+5−1−51−51−51+51+5−4i4i1−51+5−1+5−1−52ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14000000−1−5−1−51+51+51+5−1−5-13+52-13+5211−3−52−3−522ζ6+2ζ14−2ζ6−2ζ141−3−52-13+52ii−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−i−i2ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38000000−1+5−1+51−51−51−5−1+53−52-13−52-1−3+52−3+52112ζ22+2ζ38−2ζ22−2ζ38−3+5213−52-1−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38iiζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−i−i0000000000000000000000000000000000000000
χ12744-4-4-44−1−5−1+5−1−5−1+51+51+51−51−54i−4i1+51−5−1−5−1+5−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38000000−1−5−1−51+51+51+5−1−53+52-13+52-1−3−52−3−5211−2ζ6−2ζ142ζ6+2ζ14−3−5213+52-12ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−i−i−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38ii000000−1+5−1+51−51−51−5−1+5-13−52-13−5211−3+52−3+52−2ζ22−2ζ382ζ22+2ζ381−3+52-13−52−i−iζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38ii−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ380000000000000000000000000000000000000000
χ12844-4-4-44−1−5−1+5−1−5−1+51+51+51−51−5−4i4i1+51−5−1−5−1+52ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ38000000−1−5−1−51+51+51+5−1−53+52-13+52-1−3−52−3−52112ζ6+2ζ14−2ζ6−2ζ14−3−5213+52-1−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38ii2ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−i−i000000−1+5−1+51−51−51−5−1+5-13−52-13−5211−3+52−3+522ζ22+2ζ38−2ζ22−2ζ381−3+52-13−52ii−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−i−iζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ380000000000000000000000000000000000000000
χ1294-44i−4i0044-4-44i−4i4i−4i000000000000002i2−2i222−2200−1−51+5−2ζ6−2ζ142ζ6+2ζ1400−1−5−1−51+51+5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900−1+51−5−2ζ22−2ζ382ζ22+2ζ3800−1+5−1+51−51−5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000000000
χ1304-44i−4i0044-4-44i−4i4i−4i00000000000000−2i22i2−222200−1−51+5−2ζ6−2ζ142ζ6+2ζ1400−1−5−1−51+51+5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900−1+51−5−2ζ22−2ζ382ζ22+2ζ3800−1+5−1+51−51−5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000000000
χ1314-4−4i4i0044-4-4−4i4i−4i4i000000000000002i2−2i2−222200−1−51+52ζ6+2ζ14−2ζ6−2ζ1400−1−5−1−51+51+52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900−1+51−52ζ22+2ζ38−2ζ22−2ζ3800−1+5−1+51−51−52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000000000
χ1324-4−4i4i0044-4-4−4i4i−4i4i00000000000000−2i22i222−2200−1−51+52ζ6+2ζ14−2ζ6−2ζ1400−1−5−1−51+51+52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900−1+51−52ζ22+2ζ38−2ζ22−2ζ3800−1+5−1+51−51−52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000000000
χ1338-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ1400000000000000000000−2−252+25−4ζ6−4ζ144ζ6+4ζ1400-23+52−3−5−2i2i4ζ6+4ζ14+2ζ22+2ζ38−4ζ6−4ζ14−2ζ22−2ζ3800000000000000000000−2+252−25−4ζ22−4ζ384ζ22+4ζ38003−5-2−3+522ζ6+2ζ14+4ζ22+4ζ38−2ζ6−2ζ14−4ζ22−4ζ38−2i2i000000000000000000000000000000000000000000000000000000
χ1348-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ3800000000000000000000−2−252+25−4ζ6−4ζ144ζ6+4ζ14003+5-2−3−524ζ6+4ζ14+2ζ22+2ζ38−4ζ6−4ζ14−2ζ22−2ζ38−2i2i00000000000000000000−2+252−25−4ζ22−4ζ384ζ22+4ζ3800-23−52−3+5−2i2i2ζ6+2ζ14+4ζ22+4ζ38−2ζ6−2ζ14−4ζ22−4ζ38000000000000000000000000000000000000000000000000000000
χ1358-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ1400000000000000000000−2−252+254ζ6+4ζ14−4ζ6−4ζ1400-23+52−3−52i−2i−4ζ6−4ζ14−2ζ22−2ζ384ζ6+4ζ14+2ζ22+2ζ3800000000000000000000−2+252−254ζ22+4ζ38−4ζ22−4ζ38003−5-2−3+52−2ζ6−2ζ14−4ζ22−4ζ382ζ6+2ζ14+4ζ22+4ζ382i−2i000000000000000000000000000000000000000000000000000000
χ1368-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ3800000000000000000000−2−252+254ζ6+4ζ14−4ζ6−4ζ14003+5-2−3−52−4ζ6−4ζ14−2ζ22−2ζ384ζ6+4ζ14+2ζ22+2ζ382i−2i00000000000000000000−2+252−254ζ22+4ζ38−4ζ22−4ζ3800-23−52−3+52i−2i−2ζ6−2ζ14−4ζ22−4ζ382ζ6+2ζ14+4ζ22+4ζ38000000000000000000000000000000000000000000000000000000

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