Finite Group Databasebeta

← Group #12000319

Character table — Group #12000319

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size11112222222222224444444444444444488888888161616161616161616161616161616161616161616161616161616161616404040404040404080808080
order1222444455101010101010244442020202020202020202020201010202020202020244488101010102020202020202020202020204040404040404040444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511111111111111111111111111111111111111111-11-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111111111111-11-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ811111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ92222222222222222-2-2-22-222222222-2-2-2-2-2-2-2-222-2-2000000000000000000000000000000000022-2-20000
χ102222222222222222-2-2-22-222222222-2-2-2-2-2-2-2-222-2-20000000000000000000000000000000000-2-2220000
χ1122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ1222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52000000000000
χ1322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-22-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000000000
χ1422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ1522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ1622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52000000000000
χ1722222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000000000
χ1822222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2221+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+52000000000000
χ19222222-2-22222222222-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000002i−2i00
χ20222222-2-22222222222-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000−2i2i00
χ21222222-2-222222222-2-22-222222-2-2-2-22222-2-2-2-2-2-22220-200022220000-2-2-2-2000000000000000000000000
χ22222222-2-222222222-2-22-222222-2-2-2-22222-2-2-2-2-2-222-202000-2-2-2-200002222000000000000000000000000
χ23222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521+521−521+52−1+52−1−5220-2000−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ24222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521+521−521+52−1+52−1−5220-2000−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ25222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521+521−521+52−1+52−1−52-2020001−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ26222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521+521−521+52−1+52−1−52-2020001−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ27222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521−521+521−52−1−52−1+5220-2000−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ28222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521−521+521−52−1−52−1+5220-2000−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ29222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521−521+521−52−1−52−1+52-2020001+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ30222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521−521+521−52−1−52−1+52-2020001+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ312222-2-222222222222-22-2-2-2-2-2-22222222222-2-2-2-2-2-200002-200000000000000002-22-22-22-2000000000000
χ322222-2-222222222222-22-2-2-2-2-2-22222222222-2-2-2-2-2-20000-220000000000000000-22-22-22-22000000000000
χ332222-2-22222222222-22-2-22-2-2-2-22222-2-2-2-2-2-222-2-22200000000000000000000000000000000000000002-2
χ342222-2-22222222222-22-2-22-2-2-2-22222-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000-22
χ352222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+5200002-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1+521−52−1−521+52−1−521+52000000000000
χ362222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+5200002-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1+521−52−1−521+52−1−521+52000000000000
χ372222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+520000-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521−52−1+521+52−1−521+52−1−52000000000000
χ382222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+520000-22−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521−52−1+521+52−1−521+52−1−52000000000000
χ392222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−5200002-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1−521+52−1+521−52−1+521−52000000000000
χ402222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−5200002-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1−521+52−1+521−52−1+521−52000000000000
χ412222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−520000-22−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521+52−1−521−52−1+521−52−1+52000000000000
χ422222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−520000-22ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521+52−1−521−52−1+521−52−1+52000000000000
χ432222-2-2-2-2222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000000000000000000022-2-200000000
χ442222-2-2-2-2222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000000000-2-22200000000
χ452222-2-2-2-222222222-2222-2-2-2-2-2-2-2-2-22222-2-22222-2-2020-200000022220000-2-2-2-200000000000000000000
χ462222-2-2-2-222222222-2222-2-2-2-2-2-2-2-2-22222-2-22222-2-20-202000000-2-2-2-20000222200000000000000000000
χ472222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521+52020-200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ482222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521+52020-200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ492222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521+520-20200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ502222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521+520-20200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ512222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521−52020-200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521−52020-200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ532222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521−520-20200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ542222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521−520-20200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ5544444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4-44-4−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51+51−51+5−1+5−1−51−51+5000000000000000000000000000000000000000000
χ5644444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4-44-4−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51−51+51−5−1−5−1+51+51−5000000000000000000000000000000000000000000
χ57444444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-4-4-4−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+51−51+5000000000000000000000000000000000000000000
χ58444444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544-4-4-4−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−51+51−5000000000000000000000000000000000000000000
χ594444-4-444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-44-4-441−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−5000000000000000000000000000000000000000000
χ604444-4-444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-44-4-441+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+5000000000000000000000000000000000000000000
χ614444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-4-4441−51−51+51+51−51−51+51+51−51−51+51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000
χ624444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-4-4441+51+51−51−51+51+51−51−51+51+51−51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000
χ6344-4-44-4004444-4-4-4-4000004-44-4000000000000000000000000000000000000000000000000000022−220000
χ6444-4-44-4004444-4-4-4-4000004-44-40000000000000000000000000000000000000000000000000000−22220000
χ6544-4-4-44004444-4-4-4-400000-44-440000000000000000000000000000000000000000000000000022−22000000
χ6644-4-4-44004444-4-4-4-400000-44-4400000000000000000000000000000000000000000000000000−2222000000
χ674-44-4004i−4i44-4-444-4-40000000004i−4i4i−4i0000000000000000000000000000000000000000002-22i−2i00000000
χ684-44-4004i−4i44-4-444-4-40000000004i−4i4i−4i000000000000000000000000000000000000000000-22−2i2i00000000
χ694-44-400−4i4i44-4-444-4-4000000000−4i4i−4i4i0000000000000000000000000000000000000000002-2−2i2i00000000
χ704-44-400−4i4i44-4-444-4-4000000000−4i4i−4i4i000000000000000000000000000000000000000000-222i−2i00000000
χ7188-8-88-800−2+25−2−25−2+25−2−252−252+252−252+2500000−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000
χ7288-8-88-800−2−25−2+25−2−25−2+252+252−252+252−2500000−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000
χ7388-8-8-8800−2+25−2−25−2+25−2−252−252+252−252+25000002−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000
χ7488-8-8-8800−2−25−2+25−2−25−2+252+252−252+252−25000002+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000
χ758-88-8008i−8i−2+25−2−252−252+25−2+25−2−252−252+25000000000−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14000000000000000000000000000000000000000000000000000000
χ768-88-8008i−8i−2−25−2+252+252−25−2−25−2+252+252−25000000000−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38000000000000000000000000000000000000000000000000000000
χ778-88-800−8i8i−2+25−2−252−252+25−2+25−2−252−252+250000000004ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14000000000000000000000000000000000000000000000000000000
χ788-88-800−8i8i−2−25−2+252+252−25−2−25−2+252+252−250000000004ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38000000000000000000000000000000000000000000000000000000
χ798-8-88000088-8-8-8-8880000000000000000000000000000000000000000000000000000000000000000000
χ808-8-880000−2+25−2−252−252+252−252+25−2+25−2−2500000000000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ3600000000000000000000000000000000000000000000000000
χ818-8-880000−2+25−2−252−252+252−252+25−2+25−2−250000000000000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ3600000000000000000000000000000000000000000000000000
χ828-8-880000−2−25−2+252+252−252+252−25−2−25−2+250000000000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ2800000000000000000000000000000000000000000000000000
χ838-8-880000−2−25−2+252+252−252+252−25−2−25−2+2500000000000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ2800000000000000000000000000000000000000000000000000

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