Finite Group Databasebeta

← Group #12015576

Character table — Group #12015576

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222244444444444444444444444444448888888888888888888888161616161616161616161616161616161616161620202020202020204040404080808080
order1244244444551010202020202224444410101010101020202020202020202020202020204410101010202020202020202020202020202020204488202020202020202040404040404040408888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1i−ii−i
χ61111111111111111111-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-11111−ii−ii
χ71111111111111111111-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1−ii−ii
χ81111111111111111111-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-11111i−ii−i
χ911111-1-1-1-11111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1011111-1-1-1-11111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1111111-1-1-1-11111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ1211111-1-1-1-11111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ1311111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-111-1-1i−i−ii
χ1411111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111−iii−i
χ1511111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-111-1-1−iii−i
χ1611111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111i−i−ii
χ17222222222222222222-22-2-2-2-22-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ18222222222222222222-2-22-2-2-2-22-2-2-2-2222222222222-2-2-2-2-22-2-222-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ192222222222−1+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+52−1−52−1−5222−1+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
χ202222222222−1+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+52−1−52−1−5222−1+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
χ212222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2222-2-21−521−521+521+52−1+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+52-2-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522i−2i2i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2222-2-21−521−521+521+52−1+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+52-2-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−2i2i−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ232222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-2-22-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522-21−521+521−521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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
χ242222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-2-22-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522-21−521+521−521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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
χ252222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2-2-221−521−521+521+52−1+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+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000000000000
χ262222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2-2-221−521−521+521+52−1+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+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000000000000
χ272222222222−1−52−1+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+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
χ282222222222−1−52−1+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+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
χ292222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2222-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-2-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i−2i2i−2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2222-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-2-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−2i2i−2i2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ312222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-2-22-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522-21+521−521+521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+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
χ322222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-2-22-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522-21+521−521+521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+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
χ332222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2-2-221+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ380000000000000000
χ342222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2-2-221+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ380000000000000000
χ3522222-2-2-2-2222222222-22-2-2222-222222222-2-2-2-2-2-2-2-22222-22-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ3622222-2-2-2-2222222222-2-22-222-22-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-222-2-22222222222-2-2-2-2000000000000000000000000000000000000
χ3722222-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2−1+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ3822222-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2−1+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ3922222-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+5222−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522i−2i−2i2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ4022222-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+5222−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−2i2i2i−2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ4122222-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2222-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ4222222-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2222-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ4322222-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-222-221−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+522-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000000000000
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χ924-44i−4i0−2−2i2+2i−2+2i2−2i044-4-44i−4i4i−4i0000000000000000−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i00000000000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ934-4−4i4i02−2i−2+2i2+2i−2−2i044-4-4−4i4i−4i4i00000000000000002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i0000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ944-4−4i4i02−2i−2+2i2+2i−2−2i044-4-4−4i4i−4i4i00000000000000002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i00000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ954-4−4i4i0−2+2i2−2i−2−2i2+2i044-4-4−4i4i−4i4i0000000000000000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i0000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ964-4−4i4i0−2+2i2−2i−2−2i2+2i044-4-4−4i4i−4i4i0000000000000000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i00000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ978-88i−8i04+4i−4−4i4−4i−4+4i0−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ140000000000000000−2ζ12−2ζ22−2ζ28−2ζ382ζ12+2ζ22+2ζ28+2ζ38−2ζ12+2ζ22−2ζ28+2ζ382ζ12−2ζ22+2ζ28−2ζ38−2ζ4−2ζ6−2ζ14−2ζ362ζ4+2ζ6+2ζ14+2ζ36−2ζ4+2ζ6+2ζ14−2ζ362ζ4−2ζ6−2ζ14+2ζ3600000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i04+4i−4−4i4−4i−4+4i0−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ380000000000000000−2ζ4−2ζ6−2ζ14−2ζ362ζ4+2ζ6+2ζ14+2ζ36−2ζ4+2ζ6+2ζ14−2ζ362ζ4−2ζ6−2ζ14+2ζ36−2ζ12−2ζ22−2ζ28−2ζ382ζ12+2ζ22+2ζ28+2ζ38−2ζ12+2ζ22−2ζ28+2ζ382ζ12−2ζ22+2ζ28−2ζ3800000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i0−4−4i4+4i−4+4i4−4i0−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ1400000000000000002ζ12+2ζ22+2ζ28+2ζ38−2ζ12−2ζ22−2ζ28−2ζ382ζ12−2ζ22+2ζ28−2ζ38−2ζ12+2ζ22−2ζ28+2ζ382ζ4+2ζ6+2ζ14+2ζ36−2ζ4−2ζ6−2ζ14−2ζ362ζ4−2ζ6−2ζ14+2ζ36−2ζ4+2ζ6+2ζ14−2ζ3600000000000000000000000000000000000000000000000000000000000000
χ1008-88i−8i0−4−4i4+4i−4+4i4−4i0−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ3800000000000000002ζ4+2ζ6+2ζ14+2ζ36−2ζ4−2ζ6−2ζ14−2ζ362ζ4−2ζ6−2ζ14+2ζ36−2ζ4+2ζ6+2ζ14−2ζ362ζ12+2ζ22+2ζ28+2ζ38−2ζ12−2ζ22−2ζ28−2ζ382ζ12−2ζ22+2ζ28−2ζ38−2ζ12+2ζ22−2ζ28+2ζ3800000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i04−4i−4+4i4+4i−4−4i0−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ140000000000000000−2ζ12+2ζ22−2ζ28+2ζ382ζ12−2ζ22+2ζ28−2ζ38−2ζ12−2ζ22−2ζ28−2ζ382ζ12+2ζ22+2ζ28+2ζ38−2ζ4+2ζ6+2ζ14−2ζ362ζ4−2ζ6−2ζ14+2ζ36−2ζ4−2ζ6−2ζ14−2ζ362ζ4+2ζ6+2ζ14+2ζ3600000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i04−4i−4+4i4+4i−4−4i0−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000000000000000−2ζ4+2ζ6+2ζ14−2ζ362ζ4−2ζ6−2ζ14+2ζ36−2ζ4−2ζ6−2ζ14−2ζ362ζ4+2ζ6+2ζ14+2ζ36−2ζ12+2ζ22−2ζ28+2ζ382ζ12−2ζ22+2ζ28−2ζ38−2ζ12−2ζ22−2ζ28−2ζ382ζ12+2ζ22+2ζ28+2ζ3800000000000000000000000000000000000000000000000000000000000000
χ1038-8−8i8i0−4+4i4−4i−4−4i4+4i0−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ1400000000000000002ζ12−2ζ22+2ζ28−2ζ38−2ζ12+2ζ22−2ζ28+2ζ382ζ12+2ζ22+2ζ28+2ζ38−2ζ12−2ζ22−2ζ28−2ζ382ζ4−2ζ6−2ζ14+2ζ36−2ζ4+2ζ6+2ζ14−2ζ362ζ4+2ζ6+2ζ14+2ζ36−2ζ4−2ζ6−2ζ14−2ζ3600000000000000000000000000000000000000000000000000000000000000
χ1048-8−8i8i0−4+4i4−4i−4−4i4+4i0−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ3800000000000000002ζ4−2ζ6−2ζ14+2ζ36−2ζ4+2ζ6+2ζ14−2ζ362ζ4+2ζ6+2ζ14+2ζ36−2ζ4−2ζ6−2ζ14−2ζ362ζ12−2ζ22+2ζ28−2ζ38−2ζ12+2ζ22−2ζ28+2ζ382ζ12+2ζ22+2ζ28+2ζ38−2ζ12−2ζ22−2ζ28−2ζ3800000000000000000000000000000000000000000000000000000000000000

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