Finite Group Databasebeta

← Group #12000315

Character table — Group #12000315

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222222222224444444444444444444444444888888888888888888888888161616161616161616161616161616161616161640404040808080808080
order1222444455101010101010244441010101020202020202020202020202020202020444420202020202020202020202020202020202020208888404040404040404040404040404040408888224488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ511111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-1
χ611111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111
χ711111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ92222222222222222-2-2-22-2-2-2-2-22222-2-2-2-22222-2-2-2-2000022-2-200000000000000000000000000000000000022-2-2000000
χ102222222222222222-2-2-22-2-2-2-2-22222-2-2-2-22222-2-2-2-2000022-2-2000000000000000000000000000000000000-2-222000000
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+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000
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+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000
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+52−1−52−1−52-2-2-2-2−1+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+520000000000
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+52−1−52−1−52-2-2-2-2−1+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+52−1−52−1−52−1−52−1−520000000000
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+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+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+520000000000
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+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+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000
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+52-2-2-2-2−1−52−1+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+521−521−521−521−520000000000
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+52-2-2-2-2−1−52−1+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+520000000000
χ19222222-2-22222222222-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000002i−2i002i2i−2i−2i2i2i−2i−2i000000000000000000
χ20222222-2-22222222222-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000−2i2i00−2i−2i2i2i−2i−2i2i2i000000000000000000
χ21222222-2-222222222-2-22-22-2-2-2-22222-2-2-2-2-2-2-2-222220000-2-2220000000000000000000000000000000000000000020-200
χ22222222-2-222222222-2-22-22-2-2-2-22222-2-2-2-2-2-2-2-222220000-2-22200000000000000000000000000000000000000000-20200
χ23222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2−1+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+521−521−521+521+5200001−521+521−521+52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ362i−2i00−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140000000000
χ24222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2−1+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+521−521−521+521+5200001−521+521−521+52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−2i2i00ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140000000000
χ25222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2−1+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+521−521−521+521+5200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ362i−2i00−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140000000000
χ26222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2−1+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+521−521−521+521+5200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−2i2i00ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140000000000
χ27222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ282i−2i00−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ380000000000
χ28222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−2i2i00ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ380000000000
χ29222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−521+521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ282i−2i00−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ380000000000
χ30222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−521+521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−2i2i00ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ380000000000
χ312222-2-222222222222-22-2-22222-2-2-2-2-2-2-2-2222222220000-2-2-2-20000000000000000002-2000000002-22-22-22-20000000000
χ322222-2-222222222222-22-2-22222-2-2-2-2-2-2-2-2222222220000-2-2-2-2000000000000000000-2200000000-22-22-22-220000000000
χ332222-2-22222222222-22-2-22-2-2-2-2-2-2-2-222222222-2-2-2-20000-2-222000000000000000000000000000000000000000000002-2
χ342222-2-22222222222-22-2-22-2-2-2-2-2-2-2-222222222-2-2-2-20000-2-22200000000000000000000000000000000000000000000-22
χ352222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36002-2ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−1+521−52−1+521−52−1−521+52−1−521+520000000000
χ362222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600-22−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ361−52−1+521−52−1+521+52−1−521+52−1−520000000000
χ372222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36002-2−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−1+521−52−1+521−52−1−521+52−1−521+520000000000
χ382222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600-22ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ361−52−1+521−52−1+521+52−1−521+52−1−520000000000
χ392222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28002-2−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−1−521+52−1−521+52−1+521−52−1+521−520000000000
χ402222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800-22ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ281+52−1−521+52−1−521−52−1+521−52−1+520000000000
χ412222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28002-2ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−1−521+52−1−521+52−1+521−52−1+521−520000000000
χ422222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800-22−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ281+52−1−521+52−1−521−52−1+521−52−1+520000000000
χ432222-2-2-2-2222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-222000000000000000000000000000000
χ442222-2-2-2-2222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-22222-2-2000000000000000000000000000000
χ452222-2-2-2-222222222-2222-2-2-2-2-2-2-2-2-22222-2-2-2-22222000022-2-2000000000000000000000000000000000000000020-2000
χ462222-2-2-2-222222222-2222-2-2-2-2-2-2-2-2-22222-2-2-2-22222000022-2-20000000000000000000000000000000000000000-202000
χ472222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-222−1+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+521−521−521−521−52−1+52−1+52−1−52−1−521+521+521+521+52−1−52−1−520000−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ140000000000
χ482222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-222−1+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+521−521−521−521−52−1+52−1+52−1−52−1−521+521+521+521+52−1−52−1−520000ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ140000000000
χ492222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-2-222−1+52−1−52−1+52−1−521−521−52−1+52−1+52−1+52−1+521−521−521+521+52−1−52−1−52−1−52−1−521+521+520000−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ140000000000
χ502222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-2-222−1+52−1−52−1+52−1−521−521−52−1+52−1+52−1+52−1+521−521−521+521+52−1−52−1−52−1−52−1−521+521+520000ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ140000000000
χ512222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-222−1−52−1−52−1+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+52−1−52−1−521+521+521+521+52−1−52−1−52−1+52−1+521−521−521−521−52−1+52−1+520000ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ380000000000
χ522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-222−1−52−1−52−1+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+52−1−52−1−521+521+521+521+52−1−52−1−52−1+52−1+521−521−521−521−52−1+52−1+520000−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ380000000000
χ532222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-2-222−1−52−1+52−1−52−1+521+521+52−1−52−1−52−1−52−1−521+521+521−521−52−1+52−1+52−1+52−1+521−521−520000ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ380000000000
χ542222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-2-222−1−52−1+52−1−52−1+521+521+52−1−52−1−52−1−52−1−521+521+521−521−52−1+52−1+52−1+52−1+521−521−520000−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ380000000000
χ5544444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4-44-41−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000−1+5−1−51−51+50000000000000000000000000000000000000000000000
χ5644444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4-44-41+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000−1−5−1+51+51−50000000000000000000000000000000000000000000000
χ57444444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-44-441−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−500001−51+5−1+5−1−50000000000000000000000000000000000000000000000
χ58444444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-44-441+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+500001+51−5−1−5−1+50000000000000000000000000000000000000000000000
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+51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+500001−51+5−1+5−1−50000000000000000000000000000000000000000000000
χ604444-4-444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-44-4-441+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−500001+51−5−1−5−1+50000000000000000000000000000000000000000000000
χ614444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4444-41−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−50000−1+5−1−51−51+50000000000000000000000000000000000000000000000
χ624444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4444-41+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+50000−1−5−1+51+51−50000000000000000000000000000000000000000000000
χ6344-4-4004i−4i44-4-44-44-4000000000000000004i−4i4i−4i00002-22i−2i00002-22i−2i2i−2i2-22-22i−2i2i−2i2-2000000000000000000000000000000
χ6444-4-4004i−4i44-4-44-44-4000000000000000004i−4i4i−4i0000-22−2i2i0000-22−2i2i−2i2i-22-22−2i2i−2i2i-22000000000000000000000000000000
χ6544-4-4004i−4i−1+5−1−51−51+5−1+51−5−1−51+5000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142-22i−2i0000−2ζ282ζ28−2ζ222ζ22−2ζ382ζ38−2ζ122ζ12−2ζ42ζ4−2ζ62ζ6−2ζ142ζ14−2ζ362ζ36000000000000000000000000000000
χ6644-4-4004i−4i−1+5−1−51−51+5−1+51−5−1−51+5000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14-22−2i2i00002ζ28−2ζ282ζ22−2ζ222ζ38−2ζ382ζ12−2ζ122ζ4−2ζ42ζ6−2ζ62ζ14−2ζ142ζ36−2ζ36000000000000000000000000000000
χ6744-4-4004i−4i−1+5−1−51−51+5−1+51−5−1−51+500000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142-22i−2i0000−2ζ122ζ12−2ζ382ζ38−2ζ222ζ22−2ζ282ζ28−2ζ362ζ36−2ζ142ζ14−2ζ62ζ6−2ζ42ζ4000000000000000000000000000000
χ6844-4-4004i−4i−1+5−1−51−51+5−1+51−5−1−51+500000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14-22−2i2i00002ζ12−2ζ122ζ38−2ζ382ζ22−2ζ222ζ28−2ζ282ζ36−2ζ362ζ14−2ζ142ζ6−2ζ62ζ4−2ζ4000000000000000000000000000000
χ6944-4-4004i−4i−1−5−1+51+51−5−1−51+5−1+51−500000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382-22i−2i0000−2ζ42ζ4−2ζ62ζ6−2ζ142ζ14−2ζ362ζ36−2ζ122ζ12−2ζ382ζ38−2ζ222ζ22−2ζ282ζ28000000000000000000000000000000
χ7044-4-4004i−4i−1−5−1+51+51−5−1−51+5−1+51−500000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38-22−2i2i00002ζ4−2ζ42ζ6−2ζ62ζ14−2ζ142ζ36−2ζ362ζ12−2ζ122ζ38−2ζ382ζ22−2ζ222ζ28−2ζ28000000000000000000000000000000
χ7144-4-4004i−4i−1−5−1+51+51−5−1−51+5−1+51−5000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382-22i−2i0000−2ζ362ζ36−2ζ142ζ14−2ζ62ζ6−2ζ42ζ4−2ζ282ζ28−2ζ222ζ22−2ζ382ζ38−2ζ122ζ12000000000000000000000000000000
χ7244-4-4004i−4i−1−5−1+51+51−5−1−51+5−1+51−5000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38-22−2i2i00002ζ36−2ζ362ζ14−2ζ142ζ6−2ζ62ζ4−2ζ42ζ28−2ζ282ζ22−2ζ222ζ38−2ζ382ζ12−2ζ12000000000000000000000000000000
χ7344-4-400−4i4i44-4-44-44-400000000000000000−4i4i−4i4i00002-2−2i2i00002-2−2i2i−2i2i2-22-2−2i2i−2i2i2-2000000000000000000000000000000
χ7444-4-400−4i4i44-4-44-44-400000000000000000−4i4i−4i4i0000-222i−2i0000-222i−2i2i−2i-22-222i−2i2i−2i-22000000000000000000000000000000
χ7544-4-400−4i4i−1+5−1−51−51+5−1+51−5−1−51+5000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142-2−2i2i0000−2ζ282ζ282ζ22−2ζ222ζ38−2ζ38−2ζ122ζ12−2ζ42ζ42ζ6−2ζ62ζ14−2ζ14−2ζ362ζ36000000000000000000000000000000
χ7644-4-400−4i4i−1+5−1−51−51+5−1+51−5−1−51+5000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14-222i−2i00002ζ28−2ζ28−2ζ222ζ22−2ζ382ζ382ζ12−2ζ122ζ4−2ζ4−2ζ62ζ6−2ζ142ζ142ζ36−2ζ36000000000000000000000000000000
χ7744-4-400−4i4i−1+5−1−51−51+5−1+51−5−1−51+500000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142-2−2i2i0000−2ζ122ζ122ζ38−2ζ382ζ22−2ζ22−2ζ282ζ28−2ζ362ζ362ζ14−2ζ142ζ6−2ζ6−2ζ42ζ4000000000000000000000000000000
χ7844-4-400−4i4i−1+5−1−51−51+5−1+51−5−1−51+500000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14-222i−2i00002ζ12−2ζ12−2ζ382ζ38−2ζ222ζ222ζ28−2ζ282ζ36−2ζ36−2ζ142ζ14−2ζ62ζ62ζ4−2ζ4000000000000000000000000000000
χ7944-4-400−4i4i−1−5−1+51+51−5−1−51+5−1+51−500000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382-2−2i2i0000−2ζ42ζ42ζ6−2ζ62ζ14−2ζ14−2ζ362ζ36−2ζ122ζ122ζ38−2ζ382ζ22−2ζ22−2ζ282ζ28000000000000000000000000000000
χ8044-4-400−4i4i−1−5−1+51+51−5−1−51+5−1+51−500000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38-222i−2i00002ζ4−2ζ4−2ζ62ζ6−2ζ142ζ142ζ36−2ζ362ζ12−2ζ12−2ζ382ζ38−2ζ222ζ222ζ28−2ζ28000000000000000000000000000000
χ8144-4-400−4i4i−1−5−1+51+51−5−1−51+5−1+51−5000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382-2−2i2i0000−2ζ362ζ362ζ14−2ζ142ζ6−2ζ6−2ζ42ζ4−2ζ282ζ282ζ22−2ζ222ζ38−2ζ38−2ζ122ζ12000000000000000000000000000000
χ8244-4-400−4i4i−1−5−1+51+51−5−1−51+5−1+51−5000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38-222i−2i00002ζ36−2ζ36−2ζ142ζ14−2ζ62ζ62ζ4−2ζ42ζ28−2ζ28−2ζ222ζ22−2ζ382ζ382ζ12−2ζ12000000000000000000000000000000
χ834-44-44-4004444-4-4-4-40000000004-44-400000000000000000000000000000000000000000000000000000000002i2−2i2000000
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χ878-88-88-800−2+25−2−25−2+25−2−252−252−252+252+25000000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000
χ888-88-88-800−2−25−2+25−2−25−2+252+252+252−252−25000000000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-8800−2+25−2−25−2+25−2−252−252−252+252+250000000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000
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χ918-8-88000088-8-8-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-880000−2+25−2−252−252+252−25−2+252+25−2−250000000000000−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ1400000000000000000000000000000000000000000000000000000000000000
χ938-8-880000−2+25−2−252−252+252−25−2+252+25−2−2500000000000004ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ1400000000000000000000000000000000000000000000000000000000000000
χ948-8-880000−2−25−2+252+252−252+25−2−252−25−2+2500000000000004ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ3800000000000000000000000000000000000000000000000000000000000000
χ958-8-880000−2−25−2+252+252−252+25−2−252−25−2+250000000000000−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ3800000000000000000000000000000000000000000000000000000000000000

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