Finite Group Databasebeta

← Group #11987040

Character table — Group #11987040

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11112222222222222222224444444444444444444444888888888888888888888888888888888888888888888888161616161616161640404040808080808080
order1222225510101010101010101010101010104444442020202020202020202020202020202022228888888820202020404040404040404040404040404040404040404040404040404040404040404010101010101010104444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ511111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-11111ii−i−i-1-1
χ611111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1−i−iii11
χ711111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1-1-11111−i−iii-1-1
χ811111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1-1-1-1-1-1-1ii−i−i11
χ911-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-111111111-1-1-1-1-1-1-1-11-1-11ii−i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−i1-11-1i−i
χ1011-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-111111111-1-1-1-1-1-1-1-11-1-11ii−i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1−i−iii-11-11−ii
χ1111-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-111111111-1-1-1-1-1-1-1-11-1-11−i−iii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1ii−i−i-11-11i−i
χ1211-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-111111111-1-1-1-1-1-1-1-11-1-11−i−iii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii1-11-1−ii
χ1311-1-1-1111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111ii−i−i−iii−i−ii
χ1411-1-1-1111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111−i−iiii−i−iii−i
χ1511-1-1-1111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111ii−i−ii−i−ii−ii
χ1611-1-1-1111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111−i−iii−iii−ii−i
χ1722222222222222222222222222222222222222222222-2-2-2-200000000222200000000000000000000000000000000-2-2-2-2-2-2-2-20000000000
χ1822222222222222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000222200000000000000000000000000000000-2-2-2-222220000000000
χ19222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222222222−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−520000000000
χ20222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ21222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-200000000−1+52−1−52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+521−521+521−521+521−521+520000000000
χ22222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-200000000−1+52−1−52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+521−521+521−521+521−521+520000000000
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+52−1−52−1−52−1−522-2-2-2-221−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+5222-2-22i2i2i2i−2i−2i−2i−2i−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−1+52−1−52−1+52−1−521−521+521−521+520000000000
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+52−1−52−1−52−1−522-2-2-2-221−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+5222-2-2−2i−2i−2i−2i2i2i2i2i−1+52−1−52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−1+52−1−52−1+52−1−521−521+521−521+520000000000
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+52−1−52−1−52−1−522-2-2-2-221−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52-2-22200000000−1+52−1−52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ141−521+521−521+52−1+52−1−52−1+52−1−520000000000
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+52−1−52−1−52−1−522-2-2-2-221−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52-2-22200000000−1+52−1−52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ141−521+521−521+52−1+52−1−52−1+52−1−520000000000
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+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+520000000000
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+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
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+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-200000000−1−52−1+52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−521+521−521+521−521+521−520000000000
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+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-200000000−1−52−1+52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−521+521−521+521−521+521−520000000000
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+522-2-2-2-221+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−5222-2-22i2i2i2i−2i−2i−2i−2i−1−52−1+52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−1−52−1+52−1−52−1+521+521−521+521−520000000000
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+522-2-2-2-221+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−5222-2-2−2i−2i−2i−2i2i2i2i2i−1−52−1+52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−1−52−1+52−1−52−1+521+521−521+521−520000000000
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+522-2-2-2-221+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−52-2-22200000000−1−52−1+52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ381+521−521+521−52−1−52−1+52−1−52−1+520000000000
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+522-2-2-2-221+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−52-2-22200000000−1−52−1+52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ381+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ3522-2-2-2222-2-2-2-2-2-2-2-2222222222-2-2-222222222-2-2-2-2-2-2-2-2-222-20000000022-2-200000000000000000000000000000000-2-222-2-2220000000000
χ3622-2-2-2222-2-2-2-2-2-2-2-22222222-2-222-2-2-2-2-2-2-2-2-222222222-22-220000000022-2-200000000000000000000000000000000-2-22222-2-20000000000
χ3722-2-2-22−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52222-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+522-2-222i2i−2i−2i2i2i−2i−2i−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−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−1+52−1−521−521+52−1+52−1−521−521+520000000000
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χ984-4-4400−1+5−1−51−5−1+5−2ζ12+2ζ282ζ12−2ζ281+5−1−52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ360-222-202ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ36−2ζ28−2ζ12−2ζ4−2ζ362ζ282ζ122ζ42ζ360000−i2i2i2−i2i2−i2−i2i20000−ζ13−ζ23ζ13+ζ23−ζ7−ζ37ζ7+ζ37−ζ29−ζ39ζ29+ζ39−ζ21−ζ31ζ21+ζ31ζ13+ζ23−ζ13−ζ23ζ7+ζ37−ζ7−ζ37ζ29+ζ39−ζ29−ζ39ζ21+ζ31−ζ21−ζ31ζ13+ζ23−ζ13−ζ23ζ7+ζ37−ζ7−ζ37ζ29+ζ39−ζ29−ζ39ζ21+ζ31−ζ21−ζ31−ζ13−ζ23ζ13+ζ23−ζ7−ζ37ζ7+ζ37−ζ29−ζ39ζ29+ζ39−ζ21−ζ31ζ21+ζ31000000000000000000
χ994-4-4400−1−5−1+51+5−1−5−2ζ4+2ζ362ζ4−2ζ361−5−1+5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ2802-2-220−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ122ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ1200002−2−222−2−220000ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37000000000000000000
χ1004-4-4400−1−5−1+51+5−1−5−2ζ4+2ζ362ζ4−2ζ361−5−1+5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ2802-2-220−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ122ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ120000−222−2−222−20000−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37000000000000000000
χ1014-4-4400−1−5−1+51+5−1−5−2ζ4+2ζ362ζ4−2ζ361−5−1+5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ280-222-202ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ12−2ζ36−2ζ4−2ζ28−2ζ122ζ362ζ42ζ282ζ120000i2−i2−i2i2−i2i2i2−i20000ζ21+ζ31−ζ21−ζ31ζ29+ζ39−ζ29−ζ39ζ13+ζ23−ζ13−ζ23ζ7+ζ37−ζ7−ζ37−ζ21−ζ31ζ21+ζ31−ζ29−ζ39ζ29+ζ39−ζ13−ζ23ζ13+ζ23−ζ7−ζ37ζ7+ζ37−ζ21−ζ31ζ21+ζ31−ζ29−ζ39ζ29+ζ39−ζ13−ζ23ζ13+ζ23−ζ7−ζ37ζ7+ζ37ζ21+ζ31−ζ21−ζ31ζ29+ζ39−ζ29−ζ39ζ13+ζ23−ζ13−ζ23ζ7+ζ37−ζ7−ζ37000000000000000000
χ1024-4-4400−1−5−1+51+5−1−5−2ζ4+2ζ362ζ4−2ζ361−5−1+5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ280-222-202ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ12−2ζ36−2ζ4−2ζ28−2ζ122ζ362ζ42ζ282ζ120000−i2i2i2−i2i2−i2−i2i20000−ζ21−ζ31ζ21+ζ31−ζ29−ζ39ζ29+ζ39−ζ13−ζ23ζ13+ζ23−ζ7−ζ37ζ7+ζ37ζ21+ζ31−ζ21−ζ31ζ29+ζ39−ζ29−ζ39ζ13+ζ23−ζ13−ζ23ζ7+ζ37−ζ7−ζ37ζ21+ζ31−ζ21−ζ31ζ29+ζ39−ζ29−ζ39ζ13+ζ23−ζ13−ζ23ζ7+ζ37−ζ7−ζ37−ζ21−ζ31ζ21+ζ31−ζ29−ζ39ζ29+ζ39−ζ13−ζ23ζ13+ζ23−ζ7−ζ37ζ7+ζ37000000000000000000
χ1034-4-4400−1−5−1+51+5−1−52ζ4−2ζ36−2ζ4+2ζ361−5−1+52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ2802-2-220−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ282ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ2800002−2−222−2−220000ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23000000000000000000
χ1044-4-4400−1−5−1+51+5−1−52ζ4−2ζ36−2ζ4+2ζ361−5−1+52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ2802-2-220−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ282ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ280000−222−2−222−20000−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23000000000000000000
χ1054-4-4400−1−5−1+51+5−1−52ζ4−2ζ36−2ζ4+2ζ361−5−1+52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ280-222-202ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ28−2ζ4−2ζ36−2ζ12−2ζ282ζ42ζ362ζ122ζ280000i2−i2−i2i2−i2i2i2−i20000ζ29+ζ39−ζ29−ζ39ζ21+ζ31−ζ21−ζ31ζ7+ζ37−ζ7−ζ37ζ13+ζ23−ζ13−ζ23−ζ29−ζ39ζ29+ζ39−ζ21−ζ31ζ21+ζ31−ζ7−ζ37ζ7+ζ37−ζ13−ζ23ζ13+ζ23−ζ29−ζ39ζ29+ζ39−ζ21−ζ31ζ21+ζ31−ζ7−ζ37ζ7+ζ37−ζ13−ζ23ζ13+ζ23ζ29+ζ39−ζ29−ζ39ζ21+ζ31−ζ21−ζ31ζ7+ζ37−ζ7−ζ37ζ13+ζ23−ζ13−ζ23000000000000000000
χ1064-4-4400−1−5−1+51+5−1−52ζ4−2ζ36−2ζ4+2ζ361−5−1+52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ280-222-202ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ28−2ζ4−2ζ36−2ζ12−2ζ282ζ42ζ362ζ122ζ280000−i2i2i2−i2i2−i2−i2i20000−ζ29−ζ39ζ29+ζ39−ζ21−ζ31ζ21+ζ31−ζ7−ζ37ζ7+ζ37−ζ13−ζ23ζ13+ζ23ζ29+ζ39−ζ29−ζ39ζ21+ζ31−ζ21−ζ31ζ7+ζ37−ζ7−ζ37ζ13+ζ23−ζ13−ζ23ζ29+ζ39−ζ29−ζ39ζ21+ζ31−ζ21−ζ31ζ7+ζ37−ζ7−ζ37ζ13+ζ23−ζ13−ζ23−ζ29−ζ39ζ29+ζ39−ζ21−ζ31ζ21+ζ31−ζ7−ζ37ζ7+ζ37−ζ13−ζ23ζ13+ζ23000000000000000000
χ1078888-8-8−2+25−2−25−2+25−2+252−252−25−2−25−2−252+252+25−2+252−252−25−2−252+252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088888-8-8−2−25−2+25−2−25−2−252+252+25−2+25−2+252−252−25−2−252+252+25−2+252−252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-88-8−2+25−2−252−252−25−2+25−2+252+252+25−2−25−2−25−2+252−252−25−2−252+252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-88-8−2−25−2+252+252+25−2−25−2−252−252−25−2+25−2+25−2−252+252+25−2+252−252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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