Finite Group Databasebeta

← Group #12018356

Character table — Group #12018356

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1122222224444444444444444444488888888888888888888888888881616161616161616161616161616161616161616404080808080808080
order1224455101022244410101010101020202020202020202244101010101010101010101010202020202020202020202020448820202020202020204040404040404040884444888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111
χ511111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11-1-1
χ611111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111
χ711111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ811111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1
χ92222222222-2-2-22-2222222222222220000-2-2-2-200000000-2-2-2-2000000002-2002222-2-2-2-200000000000000000
χ102222222222-2-2-22-2222222222222220000-2-2-2-200000000-2-2-2-200000000-2200-2-2-2-2222200000000000000000
χ11222222222-22-2-2-22-2-2-2-2222222-2-2-2-2000022-2-20000000022-2-20000000000000000000000000000002-200000
χ12222222222-22-2-2-22-2-2-2-2222222-2-2-2-2000022-2-20000000022-2-2000000000000000000000000000000-2200000
χ13222222222-2-222-2-2-2-2-2-2222222-2-2-2-20000-2-22200000000-2-2220000000000000000000000000000220000-200
χ14222222222-2-222-2-2-2-2-2-2222222-2-2-2-20000-2-22200000000-2-2220000000000000000000000000000-2-20000200
χ1522222−1+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+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52000000000
χ1622222−1+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+52−1−52−1−522222−1+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+52000000000
χ1722222−1+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+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+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+52000000000
χ1822222−1+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+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000
χ1922222−1+52−1−52−1+52−1−522-2-2-22-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000
χ2022222−1+52−1−52−1+52−1−522-2-2-22-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000
χ2122222−1+52−1−52−1+52−1−522-2-2-22-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000
χ2222222−1+52−1−52−1+52−1−522-2-2-22-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000
χ2322222−1−52−1+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+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+52000000000
χ2422222−1−52−1+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+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+521−521−521−521−52000000000
χ2522222−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+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+521−521−521−521−52000000000
χ2622222−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+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+52000000000
χ2722222−1−52−1+52−1−52−1+522-2-2-22-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000
χ2822222−1−52−1+52−1−52−1+522-2-2-22-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000
χ2922222−1−52−1+52−1−52−1+522-2-2-22-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000
χ3022222−1−52−1+52−1−52−1+522-2-2-22-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000
χ31222-2-2222222-22-2-2222222-2-2-2-2-2-2-2-2000022-2-200000000-2-222000000000000000000000000000000002i−2i000
χ32222-2-2222222-22-2-2222222-2-2-2-2-2-2-2-2000022-2-200000000-2-22200000000000000000000000000000000−2i2i000
χ33222-2-222222-22-2-22222222-2-2-2-2-2-2-2-20000-2-2220000000022-2-2000000000000000000000000000000000002-2
χ34222-2-222222-22-2-22222222-2-2-2-2-2-2-2-20000-2-2220000000022-2-200000000000000000000000000000000000-22
χ35222-2-22222-222-22-2-2-2-2-222-2-2-2-222220000222200000000-2-2-2-200000000002-2000000002-22-22-22-2000000000
χ36222-2-22222-222-22-2-2-2-2-222-2-2-2-222220000222200000000-2-2-2-20000000000-2200000000-22-22-22-22000000000
χ37222-2-22222-2-2-2222-2-2-2-222-2-2-2-222222-22-2-2-2-2-22-22-22-22-222222-22-22-22-200000000000000000000000000000
χ38222-2-22222-2-2-2222-2-2-2-222-2-2-2-22222-22-22-2-2-2-2-22-22-22-222222-22-22-22-2200000000000000000000000000000
χ39222-2-2−1+52−1−52−1+52−1−52-222-22-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ361−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36002-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1+521−52−1−521+52−1−521+52000000000
χ40222-2-2−1+52−1−52−1+52−1−52-222-22-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ361−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ3600-22−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521−52−1+521+52−1−521+52−1−52000000000
χ41222-2-2−1+52−1−52−1+52−1−52-222-22-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ361−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36002-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1+521−52−1−521+52−1−521+52000000000
χ42222-2-2−1+52−1−52−1+52−1−52-222-22-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ361−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ3600-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521−52−1+521+52−1−521+52−1−52000000000
χ43222-2-2−1+52−1−52−1+52−1−52-2-2-22221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-22-21−521+521−521+52−1+521−52−1+521−52−1−521+52−1−521+52−1+52−1−52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000
χ44222-2-2−1+52−1−52−1+52−1−52-2-2-22221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-22-21−521+521−521+52−1+521−52−1+521−52−1−521+52−1−521+52−1+52−1−52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000
χ45222-2-2−1+52−1−52−1+52−1−52-2-2-22221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-221−521+521−521+521−52−1+521−52−1+521+52−1−521+52−1−52−1+52−1−52−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000
χ46222-2-2−1+52−1−52−1+52−1−52-2-2-22221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-221−521+521−521+521−52−1+521−52−1+521+52−1−521+52−1−52−1+52−1−52−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000
χ47222-2-2−1−52−1+52−1−52−1+52-222-22-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ281+521−521+521−52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28002-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1−521+52−1+521−52−1+521−52000000000
χ48222-2-2−1−52−1+52−1−52−1+52-222-22-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ281+521−521+521−52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ2800-22ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521+52−1−521−52−1+521−52−1+52000000000
χ49222-2-2−1−52−1+52−1−52−1+52-222-22-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ281+521−521+521−52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28002-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1−521+52−1+521−52−1+521−52000000000
χ50222-2-2−1−52−1+52−1−52−1+52-222-22-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ281+521−521+521−52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ2800-22−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521+52−1−521−52−1+521−52−1+52000000000
χ51222-2-2−1−52−1+52−1−52−1+52-2-2-22221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-22-21+521−521+521−52−1−521+52−1−521+52−1+521−52−1+521−52−1−52−1+52−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000
χ52222-2-2−1−52−1+52−1−52−1+52-2-2-22221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-22-21+521−521+521−52−1−521+52−1−521+52−1+521−52−1+521−52−1−52−1+52−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000
χ53222-2-2−1−52−1+52−1−52−1+52-2-2-22221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-22-221+521−521+521−521+52−1−521+52−1−521−52−1+521−52−1+52−1−52−1+52−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000
χ54222-2-2−1−52−1+52−1−52−1+52-2-2-22221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-22-221+521−521+521−521+52−1−521+52−1−521−52−1+521−52−1+52−1−52−1+52−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000
χ5544444−1+5−1−5−1+5−1−5-44-4-4-441−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000−1+5−1−51−51+500000000−1+5−1−51−51+50000000000000000000000000000000000000
χ5644444−1+5−1−5−1+5−1−5-4-444-4-41−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+500001−51+5−1+5−1−5000000001−51+5−1+5−1−50000000000000000000000000000000000000
χ5744444−1−5−1+5−1−5−1+5-44-4-4-441+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000−1−5−1+51+51−500000000−1−5−1+51+51−50000000000000000000000000000000000000
χ5844444−1−5−1+5−1−5−1+5-4-444-4-41+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−500001+51−5−1−5−1+5000000001+51−5−1−5−1+50000000000000000000000000000000000000
χ59444-4-4−1+5−1−5−1+5−1−544-44-4-4−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+51−51−51+51+50000−1+5−1−51−51+5000000001−51+5−1+5−1−50000000000000000000000000000000000000
χ60444-4-4−1+5−1−5−1+5−1−54-44-4-44−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+51−51−51+51+500001−51+5−1+5−1−500000000−1+5−1−51−51+50000000000000000000000000000000000000
χ61444-4-4−1−5−1+5−1−5−1+544-44-4-4−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−51+51+51−51−50000−1−5−1+51+51−5000000001+51−5−1−5−1+50000000000000000000000000000000000000
χ62444-4-4−1−5−1+5−1−5−1+54-44-4-44−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−51+51+51−51−500001+51−5−1−5−1+500000000−1−5−1+51+51−50000000000000000000000000000000000000
χ6344-44-444440000000000-4-44-44-4000022-2-20000222222220000-2-2-2-2-2-2-2-200000000000000000000000000000
χ6444-44-444440000000000-4-44-44-40000-2-2220000-2-2-2-2-2-2-2-200002222222200000000000000000000000000000
χ6544-44-4−1+5−1−5−1+5−1−50000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5−1+51−5−1−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3622-2-20000−2ζ28−2ζ28−2ζ12−2ζ12−2ζ4−2ζ4−2ζ36−2ζ3600002ζ282ζ282ζ122ζ122ζ42ζ42ζ362ζ3600000000000000000000000000000
χ6644-44-4−1+5−1−5−1+5−1−50000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5−1+51−5−1−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36-2-22200002ζ282ζ282ζ122ζ122ζ42ζ42ζ362ζ360000−2ζ28−2ζ28−2ζ12−2ζ12−2ζ4−2ζ4−2ζ36−2ζ3600000000000000000000000000000
χ6744-44-4−1+5−1−5−1+5−1−5000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5−1+51−5−1−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3622-2-20000−2ζ12−2ζ12−2ζ28−2ζ28−2ζ36−2ζ36−2ζ4−2ζ400002ζ122ζ122ζ282ζ282ζ362ζ362ζ42ζ400000000000000000000000000000
χ6844-44-4−1+5−1−5−1+5−1−5000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5−1+51−5−1−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36-2-22200002ζ122ζ122ζ282ζ282ζ362ζ362ζ42ζ40000−2ζ12−2ζ12−2ζ28−2ζ28−2ζ36−2ζ36−2ζ4−2ζ400000000000000000000000000000
χ6944-44-4−1−5−1+5−1−5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5−1−51+5−1+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2822-2-20000−2ζ4−2ζ4−2ζ36−2ζ36−2ζ12−2ζ12−2ζ28−2ζ2800002ζ42ζ42ζ362ζ362ζ122ζ122ζ282ζ2800000000000000000000000000000
χ7044-44-4−1−5−1+5−1−5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5−1−51+5−1+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28-2-22200002ζ42ζ42ζ362ζ362ζ122ζ122ζ282ζ280000−2ζ4−2ζ4−2ζ36−2ζ36−2ζ12−2ζ12−2ζ28−2ζ2800000000000000000000000000000
χ7144-44-4−1−5−1+5−1−5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5−1−51+5−1+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2822-2-20000−2ζ36−2ζ36−2ζ4−2ζ4−2ζ28−2ζ28−2ζ12−2ζ1200002ζ362ζ362ζ42ζ42ζ282ζ282ζ122ζ1200000000000000000000000000000
χ7244-44-4−1−5−1+5−1−5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5−1−51+5−1+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28-2-22200002ζ362ζ362ζ42ζ42ζ282ζ282ζ122ζ120000−2ζ36−2ζ36−2ζ4−2ζ4−2ζ28−2ζ28−2ζ12−2ζ1200000000000000000000000000000
χ7344-4-4444440000000000-4-4-44-4400002-2-2200002-22-22-22-20000-22-22-22-2200000000000000000000000000000
χ7444-4-4444440000000000-4-4-44-440000-222-20000-22-22-22-2200002-22-22-22-200000000000000000000000000000
χ7544-4-44−1+5−1−5−1+5−1−50000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+51−5−1+51+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362-2-220000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ400002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ400000000000000000000000000000
χ7644-4-44−1+5−1−5−1+5−1−50000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+51−5−1+51+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36-222-200002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ400000000000000000000000000000
χ7744-4-44−1+5−1−5−1+5−1−5000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+51−5−1+51+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362-2-220000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ3600002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ3600000000000000000000000000000
χ7844-4-44−1+5−1−5−1+5−1−5000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+51−5−1+51+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36-222-200002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ3600000000000000000000000000000
χ7944-4-44−1−5−1+5−1−5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−51+5−1−51−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282-2-220000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ1200002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ1200000000000000000000000000000
χ8044-4-44−1−5−1+5−1−5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−51+5−1−51−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28-222-200002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ1200000000000000000000000000000
χ8144-4-44−1−5−1+5−1−5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−51+5−1−51−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282-2-220000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ2800002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ2800000000000000000000000000000
χ8244-4-44−1−5−1+5−1−5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−51+5−1−51−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28-222-200002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ2800000000000000000000000000000
χ838-800088-8-80000000000000000000000000000000000000000000000000000000000000000000022−220000000
χ848-800088-8-800000000000000000000000000000000000000000000000000000000000000000000−22220000000
χ8516-16000−4+45−4−454−454+4500000000000000000000000000000000000000000000000000000000000000000000000000000
χ8616-16000−4−45−4+454+454−4500000000000000000000000000000000000000000000000000000000000000000000000000000

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