Finite Group Databasebeta

← Group #12000318

Character table — Group #12000318

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222222222224444444444444444444444444888888888888888888888888161616161616161616161616161616161616161640404040808080808080
order1222444455101010101010244441010101020202020202020202020202020202020444420202020202020202020202020202020202020202488101010102020202040404040404040408888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ611111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ92222222222222222-2-2-22-2-2-2-2-22222-2-2-2-22222-2-2-2-200002200000000-2-2000000000000000000000000000022-2-2000000
χ102222222222222222-2-2-22-2-2-2-2-22222-2-2-2-22222-2-2-2-200002200000000-2-20000000000000000000000000000-2-222000000
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+52−1−521−521−521−521−521+521+521+521+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+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+52−1−521−521−521−521−521+521+521+521+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+52−1−52−1−52−1−52−1−520000000000
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+521+521+521+521+521−521−521−521−52−1−52−1+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+521−521−521−521−520000000000
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+521+521+521+521+521−521−521−521−52−1−52−1+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+520000000000
χ19222222-2-22222222222-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-200000000-2-200000000000000000000000000000000002i−2i00
χ20222222-2-22222222222-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-200000000-2-20000000000000000000000000000000000−2i2i00
χ21222222-2-222222222-2-22-22-2-2-2-22222-2-2-2-2-2-2-2-222220000-2-20000000022000000002-2002222-2-2-2-2000000000000000000
χ22222222-2-222222222-2-22-22-2-2-2-22222-2-2-2-2-2-2-2-222220000-2-2000000002200000000-2200-2-2-2-22222000000000000000000
χ23222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1−52ζ12−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−ζ360000000000
χ24222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1−52ζ12−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+ζ360000000000
χ25222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1−52−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+ζ360000000000
χ26222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1−52−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−ζ360000000000
χ27222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1+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−ζ280000000000
χ28222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1+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+ζ280000000000
χ29222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1+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+ζ280000000000
χ30222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1+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−ζ280000000000
χ312222-2-222222222222-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-200000000220000000000000000000000000000000000002-2
χ322222-2-222222222222-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-20000000022000000000000000000000000000000000000-22
χ332222-2-22222222222-222-2-2-2-2-2-2-2-2-2-22222222222220000-2-200000000-2-200000000002-2000000002-22-22-22-20000000000
χ342222-2-22222222222-222-2-2-2-2-2-2-2-2-2-22222222222220000-2-200000000-2-20000000000-2200000000-22-22-22-220000000000
χ352222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+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+520000000000
χ362222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+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+52−1−520000000000
χ372222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−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+520000000000
χ382222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521−52−1+521+52−1−521+52−1−520000000000
χ392222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+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+521−520000000000
χ402222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+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+520000000000
χ412222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−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+521−520000000000
χ422222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−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+520000000000
χ432222-2-2-2-2222222222-222-22222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-22222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ442222-2-2-2-2222222222-222-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000
χ452222-2-2-2-222222222-22-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000220000000022000000000000000000000000000000002-20000
χ462222-2-2-2-222222222-22-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000022000000002200000000000000000000000000000000-220000
χ472222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2−1+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+521+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+ζ360000000000
χ482222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2−1+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+521+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−ζ360000000000
χ492222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-222−1+52−1−521−521−521−521−521+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−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ360000000000
χ502222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-222−1+52−1−521−521−521−521−521+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+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ360000000000
χ512222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-222-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521+521+521+521−521−521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ280000000000
χ522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-222-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521+521+521+521−521−521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ280000000000
χ532222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-222-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-222−1−52−1+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−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ280000000000
χ542222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-222-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-222−1−52−1+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+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ280000000000
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+5−1−5000000001−51+500000000000000000000000000000000000000
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+5000000001+51−500000000000000000000000000000000000000
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+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+500001−51+5000000001−51+500000000000000000000000000000000000000
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+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−500001+51−5000000001+51−500000000000000000000000000000000000000
χ594444-4-444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-4-4-44−1+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+500001−51+500000000−1+5−1−500000000000000000000000000000000000000
χ604444-4-444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-4-4-44−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500001+51−500000000−1−5−1+500000000000000000000000000000000000000
χ614444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-44-4441−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+50000−1+5−1−500000000−1+5−1−500000000000000000000000000000000000000
χ624444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-44-4441+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−50000−1−5−1+500000000−1−5−1+500000000000000000000000000000000000000
χ6344-4-44-4004444-4-4-4-40000000004-44-4000000000000000000000000000000000000000000000000000000000022−22000000
χ6444-4-44-4004444-4-4-4-40000000004-44-40000000000000000000000000000000000000000000000000000000000−2222000000
χ6544-4-4-44004444-4-4-4-4000000000-44-440000000000000000000000000000000000000000000000000000000022−2200000000
χ6644-4-4-44004444-4-4-4-4000000000-44-4400000000000000000000000000000000000000000000000000000000−222200000000
χ674-44-4004i−4i44-4-444-4-4000000000000000004i−4i4i−4i00002-22i−2i002-22-22-22-2002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ684-44-4004i−4i44-4-444-4-4000000000000000004i−4i4i−4i0000-22−2i2i00-22-22-22-2200−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ694-44-4004i−4i−1+5−1−51−51+5−1+5−1−51−51+50000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362-22i−2i00−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ3600−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ14000000000000000000000000000000
χ704-44-4004i−4i−1+5−1−51−51+5−1+5−1−51−51+50000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36-22−2i2i002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ36002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ14000000000000000000000000000000
χ714-44-4004i−4i−1+5−1−51−51+5−1+5−1−51−51+500000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362-22i−2i00−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ400−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ6000000000000000000000000000000
χ724-44-4004i−4i−1+5−1−51−51+5−1+5−1−51−51+500000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36-22−2i2i002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ4002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ6000000000000000000000000000000
χ734-44-4004i−4i−1−5−1+51+51−5−1−5−1+51+51−500000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282-22i−2i00−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ1200−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ38000000000000000000000000000000
χ744-44-4004i−4i−1−5−1+51+51−5−1−5−1+51+51−500000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28-22−2i2i002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ12002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ38000000000000000000000000000000
χ754-44-4004i−4i−1−5−1+51+51−5−1−5−1+51+51−50000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282-22i−2i00−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ2800−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ22000000000000000000000000000000
χ764-44-4004i−4i−1−5−1+51+51−5−1−5−1+51+51−50000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28-22−2i2i002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ28002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ22000000000000000000000000000000
χ774-44-400−4i4i44-4-444-4-400000000000000000−4i4i−4i4i00002-2−2i2i002-22-22-22-200−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ784-44-400−4i4i44-4-444-4-400000000000000000−4i4i−4i4i0000-222i−2i00-22-22-22-22002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ794-44-400−4i4i−1+5−1−51−51+5−1+5−1−51−51+50000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362-2−2i2i00−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ4002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ6000000000000000000000000000000
χ804-44-400−4i4i−1+5−1−51−51+5−1+5−1−51−51+50000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36-222i−2i002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ400−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ6000000000000000000000000000000
χ814-44-400−4i4i−1+5−1−51−51+5−1+5−1−51−51+500000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362-2−2i2i00−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ36002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ14000000000000000000000000000000
χ824-44-400−4i4i−1+5−1−51−51+5−1+5−1−51−51+500000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36-222i−2i002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ3600−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ14000000000000000000000000000000
χ834-44-400−4i4i−1−5−1+51+51−5−1−5−1+51+51−500000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282-2−2i2i00−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ28002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ22000000000000000000000000000000
χ844-44-400−4i4i−1−5−1+51+51−5−1−5−1+51+51−500000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28-222i−2i002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ2800−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ22000000000000000000000000000000
χ854-44-400−4i4i−1−5−1+51+51−5−1−5−1+51+51−50000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282-2−2i2i00−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ12002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ38000000000000000000000000000000
χ864-44-400−4i4i−1−5−1+51+51−5−1−5−1+51+51−50000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28-222i−2i002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ1200−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ38000000000000000000000000000000
χ8788-8-88-800−2+25−2−25−2+25−2−252−252+252−252+25000000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-88-800−2−25−2+25−2−25−2+252+252−252+252−25000000000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-8800−2+25−2−25−2+25−2−252−252+252−252+250000000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-8800−2−25−2+25−2−25−2+252+252−252+252−250000000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88000088-8-8-8-8880000000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-880000−2+25−2−252−252+252−252+25−2+25−2−25000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ360000000000000000000000000000000000000000000000000000000000000000000000
χ938-8-880000−2+25−2−252−252+252−252+25−2+25−2−2500000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ360000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-880000−2−25−2+252+252−252+252−25−2−25−2+2500000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ280000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-880000−2−25−2+252+252−252+252−25−2−25−2+25000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ280000000000000000000000000000000000000000000000000000000000000000000000

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