Finite Group Databasebeta

← Group #12015989

Character table — Group #12015989

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222222222222224444444444444444444444444448888888888888888888888161616161616161616161616161616161616161640404040404040404040404040404040
order122224444558810102020202044448881010101010102020202020204040404040404040882020202020202020404040404040404040404040888840404040404040404040404040404040224444441616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ71111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111-1-1-111-1111111-1-1-1-1ii−i−i1-1-111-1-1-1-1-1-111111111-1-1-1-1i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−iiiii−i−i−i−i1111-1-1-1-11-11-1ii−i−i11-1-1ii−i−i
χ10111-1-1-111-1111111-1-1-1-1ii−i−i1-1-111-1-1-1-1-1-111111111-1-1-1-1i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−iiiii−i−i−i−i1111-1-1-1-1-11-11−i−iii-1-111−i−iii
χ11111-1-1-111-1111111-1-1-1-1ii−i−i1-1-111-1-1-1-1-1-111111111-1-1-1-1i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-11−ii−i−i−i−iiiii-1-1-1-111111-11-1ii−i−i-1-111−i−iii
χ12111-1-1-111-1111111-1-1-1-1ii−i−i1-1-111-1-1-1-1-1-111111111-1-1-1-1i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-11−ii−i−i−i−iiiii-1-1-1-11111-11-11−i−iii11-1-1ii−i−i
χ13111-1-1-111-1111111-1-1-1-1−i−iii1-1-111-1-1-1-1-1-111111111-1-1-1-1−ii−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−i−i−i−iiiii1111-1-1-1-11-11-1−i−iii11-1-1−i−iii
χ14111-1-1-111-1111111-1-1-1-1−i−iii1-1-111-1-1-1-1-1-111111111-1-1-1-1−ii−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−i−i−i−iiiii1111-1-1-1-1-11-11ii−i−i-1-111ii−i−i
χ15111-1-1-111-1111111-1-1-1-1−i−iii1-1-111-1-1-1-1-1-111111111-1-1-1-1−ii−i−i−i−iiiii−i−i−i−iiiii11-1-1-11i−iiiii−i−i−i−i-1-1-1-111111-11-1−i−iii-1-111ii−i−i
χ16111-1-1-111-1111111-1-1-1-1−i−iii1-1-111-1-1-1-1-1-111111111-1-1-1-1−ii−i−i−i−iiiii−i−i−i−iiiii11-1-1-11i−iiiii−i−i−i−i-1-1-1-11111-11-11ii−i−i11-1-1−i−iii
χ1722222222222-2-22222222222-2-2-2222222222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ1822222222222-2-2222222-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ19222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−52−1−520000000000000000
χ20222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ21222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222−1+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+52−1+52−1−52−1+52−1−5222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ22222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222−1+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+52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ23222222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+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+521−521+521−521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ24222222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+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+521−521+521−521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ25222222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+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+52−1−52−1−521−521+521−521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ26222222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+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+52−1−52−1−521−521+521−521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ27222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+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+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+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+520000000000000000
χ28222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+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+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ29222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+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+521−521−52−1−52−1+52−1−52−1+5222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ30222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+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+521−521−52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ31222222222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521−521−521+521−521+521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ32222222222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521−521−521+521−521+521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ33222222222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521+521−521+521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ34222222222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521+521−521+521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ3522222-2-2-2-2220022-2-2-2-22-22-2000222222-2-2-2-2-2-200000000002-22-22-22-20000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ3622222-2-2-2-2220022-2-2-2-22-22-2000222222-2-2-2-2-2-200000000002-22-22-22-20000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ3722222-2-2-2-2220022-2-2-2-2-22-22000222222-2-2-2-2-2-20000000000-22-22-22-220000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ3822222-2-2-2-2220022-2-2-2-2-22-22000222222-2-2-2-2-2-20000000000-22-22-22-220000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ39222-2-22-2-2222002222222i−2i−2i2i00022-2-2-2-222-2-2-2-200000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000i2−i2−i2i2−222−2
χ40222-2-22-2-2222002222222i−2i−2i2i00022-2-2-2-222-2-2-2-200000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000−i2i2i2−i22−2−22
χ41222-2-22-2-222200222222−2i2i2i−2i00022-2-2-2-222-2-2-2-20000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000i2−i2−i2i22−2−22
χ42222-2-22-2-222200222222−2i2i2i−2i00022-2-2-2-222-2-2-2-20000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000−i2i2i2−i2−222−2
χ43222-2-2-222-222-2-222-2-2-2-22i2i−2i−2i-22222-2-2-2-2-2-22222-2-2-2-22222−2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-222000000000000000000000000000000000000
χ44222-2-2-222-222-2-222-2-2-2-2−2i−2i2i2i-22222-2-2-2-2-2-22222-2-2-2-222222i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-222000000000000000000000000000000000000
χ45222-2-2-222-2−1+52−1−5222−1+52−1−521−521−521+521+522i2i−2i−2i2-2-2−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−521−521+522-22i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ46222-2-2-222-2−1+52−1−5222−1+52−1−521−521−521+521+522i2i−2i−2i2-2-2−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−521−521+52-22−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ141−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
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χ988-80000000−2+25−2−254i2−4i22−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ1400000000000000000002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ390000000000000000000000000000000000000000000000000000000000
χ998-80000000−2+25−2−25−4i24i22−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ140000000000000000000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ390000000000000000000000000000000000000000000000000000000000
χ1008-80000000−2+25−2−25−4i24i22−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ140000000000000000000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ390000000000000000000000000000000000000000000000000000000000
χ1018-80000000−2−25−2+254i2−4i22+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ3800000000000000000002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000000000000000000000000000000
χ1028-80000000−2−25−2+254i2−4i22+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ3800000000000000000002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000000000000000000000000000000
χ1038-80000000−2−25−2+25−4i24i22+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ380000000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000000000000000000000000000000
χ1048-80000000−2−25−2+25−4i24i22+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ380000000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000000000000000000000000000000

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