Finite Group Databasebeta

← Group #12001567

Character table — Group #12001567

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222222222222222222244444444444488888888888888888888888888881616161616161616161616161616161616161616404040404040404080808080
order1222224444551010101010102020202020202020444410101010202020208888202020202020202040404040404040404040404040404040244410101010202020202020202020202020888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ922222222222222222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1022222222222222222222222222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ112222222222−1+52−1−52−1+52−1+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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52000000000000
χ122222222222−1+52−1−52−1+52−1+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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52000000000000
χ132222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-2−1+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+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+52000000000000
χ142222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-2−1+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ152222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ162222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ172222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ182222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ192222222222−1−52−1+52−1−52−1−52−1−52−1+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+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+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+52000000000000
χ202222222222−1−52−1+52−1−52−1−52−1−52−1+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+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+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+521−521−521−521−52000000000000
χ212222222222−1−52−1+52−1−52−1−52−1−52−1+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+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000000000
χ222222222222−1−52−1+52−1−52−1−52−1−52−1+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+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ232222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+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+521+521+521+521+521−521−521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ242222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+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+521+521+521+521+521−521−521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ252222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+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+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ262222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+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+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ27222222-2-2-2-222222222-2-2-2-2-2-2-2-22-22-22222-2-2-2-2000022-2-222-2-200000000000000000000000000000000000022-2-200000000
χ28222222-2-2-2-222222222-2-2-2-2-2-2-2-22-22-22222-2-2-2-2000022-2-222-2-2000000000000000000000000000000000000-2-22200000000
χ29222222-2-2-2-222222222-2-2-2-2-2-2-2-2-22-222222-2-2-2-20000-2-222-2-222000000000000000000000000000000000000000022-2-20000
χ30222222-2-2-2-222222222-2-2-2-2-2-2-2-2-22-222222-2-2-2-20000-2-222-2-2220000000000000000000000000000000000000000-2-2220000
χ312222-2-222-2-2222222222222222222-2-2-2-2-2-2-2-2-2-200002-22-22-22-200000000000000000000000000000000000000000000002i−2i
χ322222-2-222-2-2222222222222222222-2-2-2-2-2-2-2-2-2-200002-22-22-22-20000000000000000000000000000000000000000000000−2i2i
χ332222-2-222-2-22222222222222222-2-222-2-2-2-2-2-2-2-20000-22-22-22-22000000000000000000000000000000000000000000002-200
χ342222-2-222-2-22222222222222222-2-222-2-2-2-2-2-2-2-20000-22-22-22-2200000000000000000000000000000000000000000000-2200
χ352222-2-2-2-22222222222-2-2-2-2-2-2-2-22-2-22-2-2-2-2222200002-2-222-2-220000000000000000002-2000000002-22-22-22-2000000000000
χ362222-2-2-2-22222222222-2-2-2-2-2-2-2-22-2-22-2-2-2-2222200002-2-222-2-22000000000000000000-2200000000-22-22-22-22000000000000
χ372222-2-2-2-22222222222-2-2-2-2-2-2-2-2-222-2-2-2-2-222220000-222-2-222-200000000000000002-2002222-2-2-2-200000000000000000000
χ382222-2-2-2-22222222222-2-2-2-2-2-2-2-2-222-2-2-2-2-222220000-222-2-222-20000000000000000-2200-2-2-2-2222200000000000000000000
χ392222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2-221−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−521−52−1+52−1−521+521+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−ζ36002-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1+521−52−1−521+52−1−521+52000000000000
χ402222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2-221−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−521−52−1+52−1−521+521+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−ζ3600-22−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521−52−1+521+52−1−521+52−1−52000000000000
χ412222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2-221−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−521−52−1+52−1−521+521+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+ζ36002-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1+521−52−1−521+52−1−521+52000000000000
χ422222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2-221−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−521−52−1+52−1−521+521+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+ζ3600-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521−52−1+521+52−1−521+52−1−52000000000000
χ432222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-222-21−521−521+521+52−1+52−1+52−1−52−1−5200001−52−1+52−1+521−521+52−1−52−1−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ442222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-222-21−521−521+521+52−1+52−1+52−1−52−1−5200001−52−1+52−1+521−521+52−1−52−1−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ452222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-222-21−521−521+521+52−1+52−1+52−1−52−1−5200001−52−1+52−1+521−521+52−1−52−1−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ462222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-222-21−521−521+521+52−1+52−1+52−1−52−1−5200001−52−1+52−1+521−521+52−1−52−1−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ472222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2-221+521+521−521−52−1−52−1−52−1+52−1+520000−1−521+521+52−1−52−1+521−521−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28002-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1−521+52−1+521−52−1+521−52000000000000
χ482222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2-221+521+521−521−52−1−52−1−52−1+52−1+520000−1−521+521+52−1−52−1+521−521−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800-22ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521+52−1−521−52−1+521−52−1+52000000000000
χ492222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2-221+521+521−521−52−1−52−1−52−1+52−1+520000−1−521+521+52−1−52−1+521−521−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28002-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1−521+52−1+521−52−1+521−52000000000000
χ502222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2-221+521+521−521−52−1−52−1−52−1+52−1+520000−1−521+521+52−1−52−1+521−521−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800-22−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521+52−1−521−52−1+521−52−1+52000000000000
χ512222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-222-21+521+521−521−52−1−52−1−52−1+52−1+5200001+52−1−52−1−521+521−52−1+52−1+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ522222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-222-21+521+521−521−52−1−52−1−52−1+52−1+5200001+52−1−52−1−521+521−52−1+52−1+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ532222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-222-21+521+521−521−52−1−52−1−52−1+52−1+5200001+52−1−52−1−521+521−52−1+52−1+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ542222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-222-21+521+521−521−52−1−52−1−52−1+52−1+5200001+52−1−52−1−521+521−52−1+52−1+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ5522-2-2-222-22-2222-2-22-2-222-2-222-2-200002-22-22-22-2002i−2i00000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000i2−i2i2−i22−22−20000
χ5622-2-2-222-22-2222-2-22-2-222-2-222-2-200002-22-22-22-2002i−2i00000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000−i2i2−i2i2−22−220000
χ5722-2-2-222-22-2222-2-22-2-222-2-222-2-200002-22-22-22-200−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000i2−i2i2−i2−22−220000
χ5822-2-2-222-22-2222-2-22-2-222-2-222-2-200002-22-22-22-200−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000−i2i2−i2i22−22−20000
χ5922-2-2-22-22-22222-2-22-2-2-2-222-2-22200002-22-2-22-222i−2i00000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000i2−i2−i2i22−2−220000
χ6022-2-2-22-22-22222-2-22-2-2-2-222-2-22200002-22-2-22-222i−2i00000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000−i2i2i2−i2−222−20000
χ6122-2-2-22-22-22222-2-22-2-2-2-222-2-22200002-22-2-22-22−2i2i0000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000i2−i2−i2i2−222−20000
χ6222-2-2-22-22-22222-2-22-2-2-2-222-2-22200002-22-2-22-22−2i2i0000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000−i2i2i2−i22−2−220000
χ63444444-4-4-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−51−51−51−51−51+51+51+51+54-44-4−1+5−1+5−1−5−1−51−51−51+51+50000−1+5−1+51−51−5−1−5−1−51+51+5000000000000000000000000000000000000000000000000
χ64444444-4-4-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−51−51−51−51−51+51+51+51+5-44-44−1+5−1+5−1−5−1−51−51−51+51+500001−51−5−1+5−1+51+51+5−1−5−1−5000000000000000000000000000000000000000000000000
χ65444444-4-4-4-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+51+51+51+51+51−51−51−51−54-44-4−1−5−1−5−1+5−1+51+51+51−51−50000−1−5−1−51+51+5−1+5−1+51−51−5000000000000000000000000000000000000000000000000
χ66444444-4-4-4-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+51+51+51+51+51−51−51−51−5-44-44−1−5−1−5−1+5−1+51+51+51−51−500001+51+5−1−5−1−51−51−5−1+5−1+5000000000000000000000000000000000000000000000000
χ674444-4-444-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−544-4-41−51−51+51+51−51−51+51+50000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000000000000000
χ684444-4-444-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5-4-4441−51−51+51+51−51−51+51+500001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000000000000000
χ694444-4-444-4-4−1−5−1+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+544-4-41+51+51−51−51+51+51−51−50000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000000000000000
χ704444-4-444-4-4−1−5−1+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+5-4-4441+51+51−51−51+51+51−51−500001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000000000000000
χ7144-4-44-44-4-44444-4-44-4-444-4-444-4-40000-44-44-44-44000000000000000000000000000000000000000000000000000000000000
χ7244-4-44-44-4-44−1+5−1−5−1+51−51−5−1−51+51+5−1+5−1+51−51−5−1−5−1−51+51+500001−5−1+51+5−1−51−5−1+51+5−1−5000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ7344-4-44-44-4-44−1+5−1−5−1+51−51−5−1−51+51+5−1+5−1+51−51−5−1−5−1−51+51+500001−5−1+51+5−1−51−5−1+51+5−1−50000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ7444-4-44-44-4-44−1−5−1+5−1−51+51+5−1+51−51−5−1−5−1−51+51+5−1+5−1+51−51−500001+5−1−51−5−1+51+5−1−51−5−1+50000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000
χ7544-4-44-44-4-44−1−5−1+5−1−51+51+5−1+51−51−5−1−5−1−51+51+5−1+5−1+51−51−500001+5−1−51−5−1+51+5−1−51−5−1+5000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000
χ7644-4-44-4-444-4444-4-44-4-4-4-444-4-4440000-44-444-44-4000000000000000000000000000000000000000000000000000000000000
χ7744-4-44-4-444-4−1+5−1−5−1+51−51−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−500001−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000
χ7844-4-44-4-444-4−1+5−1−5−1+51−51−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−500001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000
χ7944-4-44-4-444-4−1−5−1+5−1−51+51+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+500001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000
χ8044-4-44-4-444-4−1−5−1+5−1−51+51+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+500001+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000
χ8144-4-4-444-44-4−1+5−1−5−1+51−51−5−1−51+51+5−1+5−1+51−51−5−1−5−1−51+51+50000−1+51−5−1−51+5−1+51−5−1−51+5004i−4i0000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000
χ8244-4-4-444-44-4−1+5−1−5−1+51−51−5−1−51+51+5−1+5−1+51−51−5−1−5−1−51+51+50000−1+51−5−1−51+5−1+51−5−1−51+500−4i4i00000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000
χ8344-4-4-444-44-4−1−5−1+5−1−51+51+5−1+51−51−5−1−5−1−51+51+5−1+5−1+51−51−50000−1−51+5−1+51−5−1−51+5−1+51−5004i−4i0000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000
χ8444-4-4-444-44-4−1−5−1+5−1−51+51+5−1+51−51−5−1−5−1−51+51+5−1+5−1+51−51−50000−1−51+5−1+51−5−1−51+5−1+51−500−4i4i00000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000
χ8544-4-4-44-44-44−1+5−1−5−1+51−51−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−50000−1+51−5−1−51+51−5−1+51+5−1−54i−4i0000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ8644-4-4-44-44-44−1+5−1−5−1+51−51−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−50000−1+51−5−1−51+51−5−1+51+5−1−5−4i4i00000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ8744-4-4-44-44-44−1−5−1+5−1−51+51+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+50000−1−51+5−1+51−51+5−1−51−5−1+54i−4i0000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ8844-4-4-44-44-44−1−5−1+5−1−51+51+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+50000−1−51+5−1+51−51+5−1−51−5−1+5−4i4i00000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ898-88-800000088-88-8-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8000000−2+25−2−252−25−2+252−252+25−2−252+25−4ζ22+4ζ384ζ22−4ζ38−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ144ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8000000−2+25−2−252−25−2+252−252+25−2−252+254ζ22−4ζ38−4ζ22+4ζ384ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8000000−2−25−2+252+25−2−252+252−25−2+252−254ζ6−4ζ14−4ζ6+4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ384ζ22−4ζ38−4ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8000000−2−25−2+252+25−2−252+252−25−2+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38−4ζ22+4ζ384ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800000088-8-88-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000−2+25−2−252−252−25−2+252+252+25−2−25−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ384ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88000000−2+25−2−252−252−25−2+252+252+25−2−254ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ38−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88000000−2−25−2+252+252+25−2−252−252−25−2+254ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ144ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88000000−2−25−2+252+252+25−2−252−252−25−2+25−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ14−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000000000000000

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