Finite Group Databasebeta

← Group #12001574

Character table — Group #12001574

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222222222222222222244444444444488888888888888888888888888881616161616161616161616161616161616161616404040404040404080808080
order1222224444551010101010102020202020202020444410101010202020208888202020202020202040404040404040404040404040404040444420202020202020202020202020202020888888884444
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
χ511111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
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+522-22-2−1+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+52-22-221−521−521−521−521+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−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−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+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+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−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−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+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+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+521−521−521−521−522-22-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-22-221+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+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−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−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+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+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−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−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ27222222-2-2-2-222222222-2-2-2-2-2-2-2-22-22-22222-2-2-2-2000022-2-222-2-2000000000000000000000000000000000000000022-2-20000
χ28222222-2-2-2-222222222-2-2-2-2-2-2-2-22-22-22222-2-2-2-2000022-2-222-2-20000000000000000000000000000000000000000-2-2220000
χ29222222-2-2-2-222222222-2-2-2-2-2-2-2-2-22-222222-2-2-2-20000-2-222-2-22200000000000000000000000000000000000022-2-200000000
χ30222222-2-2-2-222222222-2-2-2-2-2-2-2-2-22-222222-2-2-2-20000-2-222-2-222000000000000000000000000000000000000-2-22200000000
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
χ352222-2-2-2-22222222222-2-2-2-2-2-2-2-22-2-22-2-2-2-2222200002-2-222-2-22000000000000000020-202-22-22-22-200000000000000000000
χ362222-2-2-2-22222222222-2-2-2-2-2-2-2-22-2-22-2-2-2-2222200002-2-222-2-220000000000000000-2020-22-22-22-2200000000000000000000
χ372222-2-2-2-22222222222-2-2-2-2-2-2-2-2-222-2-2-2-2-222220000-222-2-222-20000000000000000020-2000000002-22-22-22-2000000000000
χ382222-2-2-2-22222222222-2-2-2-2-2-2-2-2-222-2-2-2-2-222220000-222-2-222-200000000000000000-20200000000-22-22-22-22000000000000
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−ζ3620-20−1+521−52−1+521−52−1−521+52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000000
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−ζ36-20201−52−1+521−52−1+521+52−1−521+52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000000
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+ζ3620-20−1+521−52−1+521−52−1−521+52−1−521+52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000000
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+ζ36-20201−52−1+521−52−1+521+52−1−521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000000
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+ζ36020-2ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−1+521−52−1+521−52−1−521+52−1−521+52000000000000
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+ζ360-202−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ361−52−1+521−52−1+521+52−1−521+52−1−52000000000000
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−ζ36020-2−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−1+521−52−1+521−52−1−521+52−1−521+52000000000000
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−ζ360-202ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ361−52−1+521−52−1+521+52−1−521+52−1−52000000000000
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−ζ2820-20−1−521+52−1−521+52−1+521−52−1+521−52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000
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−ζ28-20201+52−1−521+52−1−521−52−1+521−52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000
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+ζ2820-20−1−521+52−1−521+52−1+521−52−1+521−52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000
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+ζ28-20201+52−1−521+52−1−521−52−1+521−52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000
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+ζ28020-2−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−1−521+52−1−521+52−1+521−52−1+521−52000000000000
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+ζ280-202ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ281+52−1−521+52−1−521−52−1+521−52−1+52000000000000
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−ζ28020-2ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−1−521+52−1−521+52−1+521−52−1+521−52000000000000
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−ζ280-202−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ281+52−1−521+52−1−521−52−1+521−52−1+52000000000000
χ5522-2-22-22-22-22222-2-2-2-222-2-222-2-200002-22-22-22-2002-200000000000000002-22-22-22-2000000000000000000002−22−22−22−20000
χ5622-2-22-22-22-22222-2-2-2-222-2-222-2-200002-22-22-22-2002-200000000000000002-22-22-22-200000000000000000000−22−22−22−220000
χ5722-2-22-22-22-22222-2-2-2-222-2-222-2-200002-22-22-22-200-220000000000000000-22-22-22-22000000000000000000002−22−2−22−220000
χ5822-2-22-22-22-22222-2-2-2-222-2-222-2-200002-22-22-22-200-220000000000000000-22-22-22-2200000000000000000000−22−222−22−20000
χ5922-2-22-2-22-222222-2-2-2-2-2-222-2-22200002-22-2-22-222-200000000002-22-22-22-200000000000000000000000000002−2−222−2−220000
χ6022-2-22-2-22-222222-2-2-2-2-2-222-2-22200002-22-2-22-222-200000000002-22-22-22-20000000000000000000000000000−222−2−222−20000
χ6122-2-22-2-22-222222-2-2-2-2-2-222-2-22200002-22-2-22-22-220000000000-22-22-22-2200000000000000000000000000002−2−22−222−20000
χ6222-2-22-2-22-222222-2-2-2-2-2-222-2-22200002-22-2-22-22-220000000000-22-22-22-220000000000000000000000000000−222−22−2−220000
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
χ7144-4-44-44-44-4−1+5−1−5−1+5−1−51−51−51+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+5004-40000000000000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000
χ7244-4-44-44-44-4−1+5−1−5−1+5−1−51−51−51+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+500-4400000000000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000
χ7344-4-44-44-44-4−1−5−1+5−1−5−1+51+51+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+51−5004-40000000000000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000
χ7444-4-44-44-44-4−1−5−1+5−1−5−1+51+51+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+51−500-4400000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000
χ7544-4-44-4-44-44−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−50000−1+51−5−1−51+51−5−1+51+5−1−54-40000000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000000000
χ7644-4-44-4-44-44−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−50000−1+51−5−1−51+51−5−1+51+5−1−5-4400000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000
χ7744-4-44-4-44-44−1−5−1+5−1−5−1+51+51+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+54-40000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000000000
χ7844-4-44-4-44-44−1−5−1+5−1−5−1+51+51+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+5-4400000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000
χ7944-4-4-444-4-444444-4-4-4-444-4-444-4-40000-44-44-44-44000000000000000000000000000000000000000000000000000000000000
χ8044-4-4-444-4-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+500001−5−1+51+5−1−51−5−1+51+5−1−50000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000
χ8144-4-4-444-4-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+500001−5−1+51+5−1−51−5−1+51+5−1−5000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000
χ8244-4-4-444-4-44−1−5−1+5−1−5−1+51+51+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+5000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000
χ8344-4-4-444-4-44−1−5−1+5−1−5−1+51+51+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+50000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000
χ8444-4-4-44-444-44444-4-4-4-4-4-444-4-4440000-44-444-44-4000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-44-444-4−1+5−1−5−1+5−1−51−51−51+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+5000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000
χ8644-4-4-44-444-4−1+5−1−5−1+5−1−51−51−51+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+500000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000
χ8744-4-4-44-444-4−1−5−1+5−1−5−1+51+51+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+51−500000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000
χ8844-4-4-44-444-4−1−5−1+5−1−5−1+51+51+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+51−5000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000
χ898-88-800000088-8-88-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8000000−2+25−2−252−252+25−2+252−25−2−252+25−4ζ22+4ζ384ζ22−4ζ38−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ144ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8000000−2+25−2−252−252+25−2+252−25−2−252+254ζ22−4ζ38−4ζ22+4ζ384ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8000000−2−25−2+252+252−25−2−252+25−2+252−254ζ6−4ζ14−4ζ6+4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ384ζ22−4ζ38−4ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8000000−2−25−2+252+252−25−2−252+25−2+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38−4ζ22+4ζ384ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800000088-8-8-88-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000−2+25−2−252−252+252−25−2+252+25−2−25−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ384ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88000000−2+25−2−252−252+252−25−2+252+25−2−254ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ38−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88000000−2−25−2+252+252−252+25−2−252−25−2+254ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ144ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88000000−2−25−2+252+252−252+25−2−252−25−2+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.