Finite Group Databasebeta

← Group #12000024

Character table — Group #12000024

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222222222224444444444444444444444448888888888888888888888881616161616161616161616161616161616161616404040404040404080808080
order1222222244551010101010102444101010101010101010101010202020202020202044442020202020202020202020202020202020202020888840404040404040404040404040404040888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ5111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ8111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ92222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+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
χ102222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000
χ112222222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2−1+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+52000000000000
χ122222222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52000000000000
χ132222222222−1−52−1+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+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
χ142222222222−1−52−1+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+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
χ152222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52000000000000
χ162222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+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+52000000000000
χ1722222222-2-2222222222-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000002i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000
χ1822222222-2-2222222222-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000
χ1922222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+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−ζ36002i−2i−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14000000000000
χ2022222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+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−ζ3600−2i2iζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14000000000000
χ2122222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+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+ζ36002i−2iζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14000000000000
χ2222222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+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+ζ3600−2i2i−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14000000000000
χ2322222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1+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−ζ28002i−2i−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38000000000000
χ2422222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1+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−ζ2800−2i2iζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38000000000000
χ2522222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1+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+ζ28002i−2iζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38000000000000
χ2622222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1+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+ζ2800−2i2i−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38000000000000
χ27222222-2-22222222222-2-22-222-2-2-2-222-2-2-2-222-2-222-2-200002-22-20000000000000000000000000000000000000000000020-20
χ28222222-2-22222222222-2-22-222-2-2-2-222-2-2-2-222-2-222-2-200002-22-200000000000000000000000000000000000000000000-2020
χ29222222-2-2-2-222222222-22-2222-2-2-2-222-2-2-2-2-2-222-2-2220000-22-22000000000000000000000000000000000000000022-2-20000
χ30222222-2-2-2-222222222-22-2222-2-2-2-222-2-2-2-2-2-222-2-2220000-22-220000000000000000000000000000000000000000-2-2220000
χ312222-2-2222222222222-2-2-22-2-222-2-2-2-222-2-222-2-222-2-20000-22-2200000000000000000000000000000000000000000000020-2
χ322222-2-2222222222222-2-2-22-2-222-2-2-2-222-2-222-2-222-2-20000-22-22000000000000000000000000000000000000000000000-202
χ332222-2-222-2-222222222-222-2-2-222-2-2-2-222-2-2-2-222-2-22200002-22-200000000000000000000000000000000000022-2-200000000
χ342222-2-222-2-222222222-222-2-2-222-2-2-2-222-2-2-2-222-2-22200002-22-2000000000000000000000000000000000000-2-22200000000
χ352222-2-2-2-2222222222222-2-2-2-2-2-222-2-2-2-222222222220000-2-2-2-200000000000000002-2002-22-22-22-200000000000000000000
χ362222-2-2-2-2222222222222-2-2-2-2-2-222-2-2-2-222222222220000-2-2-2-20000000000000000-2200-22-22-22-2200000000000000000000
χ372222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-21−521−521−521−52−1+52−1+521+521+521+521+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+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ362-200−1+521−52−1+521−52−1−521+52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ382222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-21−521−521−521−52−1+52−1+521+521+521+521+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+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-22001−52−1+521−52−1+521+52−1−521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ392222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-21−521−521−521−52−1+52−1+521+521+521+521+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−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ362-200−1+521−52−1+521−52−1−521+52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ402222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-21−521−521−521−52−1+52−1+521+521+521+521+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−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-22001−52−1+521−52−1+521+52−1−521+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ412222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-21+521+521+521+52−1−52−1−521−521−521−521−52−1+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−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ282-200−1−521+52−1−521+52−1+521−52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ422222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-21+521+521+521+52−1−52−1−521−521−521−521−52−1+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−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-22001+52−1−521+52−1−521−52−1+521−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ432222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-21+521+521+521+52−1−52−1−521−521−521−521−52−1+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+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ282-200−1−521+52−1−521+52−1+521−52−1+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ442222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-21+521+521+521+52−1−52−1−521−521−521−521−52−1+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+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-22001+52−1−521+52−1−521−52−1+521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ452222-2-2-2-2-2-2222222222-222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ462222-2-2-2-2-2-2222222222-222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ472222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2221−521−521−521−52−1+52−1+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+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+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14000000000000
χ482222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2221−521−521−521−52−1+52−1+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+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−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14000000000000
χ492222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2221−521−521−521−52−1+52−1+521+521+521+521+52−1−52−1−521−521−521−521−521+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+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14000000000000
χ502222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2221−521−521−521−52−1+52−1+521+521+521+521+52−1−52−1−521−521−521−521−521+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−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14000000000000
χ512222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2221+521+521+521+52−1−52−1−521−521−521−521−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−521+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−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38000000000000
χ522222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2221+521+521+521+52−1−52−1−521−521−521−521−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−521+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+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38000000000000
χ532222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2221+521+521+521+52−1−52−1−521−521−521−521−52−1+52−1+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−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38000000000000
χ542222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2221+521+521+521+52−1−52−1−521−521−521−521−52−1+52−1+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+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38000000000000
χ55444444-4-444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-44-4−1+5−1+51−51−51−51−5−1−5−1−51+51+51+51+5−1+5−1+51−51−5−1−5−1−51+51+50000−1+51−5−1−51+5000000000000000000000000000000000000000000000000
χ56444444-4-444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-44-4−1−5−1−51+51+51+51+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+51−5000000000000000000000000000000000000000000000000
χ57444444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-44-44−1+5−1+51−51−51−51−5−1−5−1−51+51+51+51+51−51−5−1+5−1+51+51+5−1−5−1−500001−5−1+51+5−1−5000000000000000000000000000000000000000000000000
χ58444444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-44-44−1−5−1−51+51+51+51+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+5000000000000000000000000000000000000000000000000
χ594444-4-44444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4-441−51−5−1+5−1+51−51−51+51+5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1−51+51+500001−5−1+51+5−1−5000000000000000000000000000000000000000000000000
χ604444-4-44444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4-441+51+5−1−5−1−51+51+51−51−5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1+51−51−500001+5−1−51−5−1+5000000000000000000000000000000000000000000000000
χ614444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-444-41−51−5−1+5−1+51−51−51+51+5−1−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−50000−1+51−5−1−51+5000000000000000000000000000000000000000000000000
χ624444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-444-41+51+5−1−5−1−51+51+51−51−5−1+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+50000−1−51+5−1+51−5000000000000000000000000000000000000000000000000
χ6344-4-44-400004444-4-4-4-400004-400004-40000000000000000000000000000000000000000000000000000000000000022−220000
χ6444-4-44-400004444-4-4-4-400004-400004-400000000000000000000000000000000000000000000000000000000000000−22220000
χ6544-4-4-4400004444-4-4-4-40000-440000-4400000000000000000000000000000000000000000000000000000000000022−22000000
χ6644-4-4-4400004444-4-4-4-40000-440000-44000000000000000000000000000000000000000000000000000000000000−2222000000
χ674-44-4004-40044-4-4-4-4440000004-400004-4000000000000000000000000000000000000000000000000000000002i2−2i200000000
χ684-44-4004-40044-4-4-4-4440000004-400004-400000000000000000000000000000000000000000000000000000000−2i22i200000000
χ694-44-400-440044-4-4-4-444000000-440000-440000000000000000000000000000000000000000000000000000002i2−2i20000000000
χ704-44-400-440044-4-4-4-444000000-440000-44000000000000000000000000000000000000000000000000000000−2i22i20000000000
χ714-4-4400004-444-4-444-4-400000000000000004-4004-4002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ724-4-4400004-444-4-444-4-400000000000000004-4004-400−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ734-4-4400004-4−1+5−1−51−51+5−1+5−1−51−51+5000000002ζ12−2ζ28−2ζ12+2ζ280000−2ζ4+2ζ362ζ4−2ζ36−1+51−52ζ12−2ζ28−2ζ12+2ζ28−1−51+5−2ζ4+2ζ362ζ4−2ζ362i−2i2i−2i0000−2ζ222ζ22−2ζ382ζ38−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ14−2ζ62ζ6−2ζ142ζ1400000000000000000000000000000000
χ744-4-4400004-4−1+5−1−51−51+5−1+5−1−51−51+5000000002ζ12−2ζ28−2ζ12+2ζ280000−2ζ4+2ζ362ζ4−2ζ36−1+51−52ζ12−2ζ28−2ζ12+2ζ28−1−51+5−2ζ4+2ζ362ζ4−2ζ36−2i2i−2i2i00002ζ22−2ζ222ζ38−2ζ382ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ142ζ6−2ζ62ζ14−2ζ1400000000000000000000000000000000
χ754-4-4400004-4−1+5−1−51−51+5−1+5−1−51−51+500000000−2ζ12+2ζ282ζ12−2ζ2800002ζ4−2ζ36−2ζ4+2ζ36−1+51−5−2ζ12+2ζ282ζ12−2ζ28−1−51+52ζ4−2ζ36−2ζ4+2ζ362i−2i2i−2i0000−2ζ382ζ38−2ζ222ζ22−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ6−2ζ142ζ14−2ζ62ζ600000000000000000000000000000000
χ764-4-4400004-4−1+5−1−51−51+5−1+5−1−51−51+500000000−2ζ12+2ζ282ζ12−2ζ2800002ζ4−2ζ36−2ζ4+2ζ36−1+51−5−2ζ12+2ζ282ζ12−2ζ28−1−51+52ζ4−2ζ36−2ζ4+2ζ36−2i2i−2i2i00002ζ38−2ζ382ζ22−2ζ222ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ62ζ14−2ζ142ζ6−2ζ600000000000000000000000000000000
χ774-4-4400004-4−1−5−1+51+51−5−1−5−1+51+51−500000000−2ζ4+2ζ362ζ4−2ζ360000−2ζ12+2ζ282ζ12−2ζ28−1−51+5−2ζ4+2ζ362ζ4−2ζ36−1+51−5−2ζ12+2ζ282ζ12−2ζ282i−2i2i−2i0000−2ζ62ζ6−2ζ142ζ14−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ22−2ζ382ζ38−2ζ222ζ2200000000000000000000000000000000
χ784-4-4400004-4−1−5−1+51+51−5−1−5−1+51+51−500000000−2ζ4+2ζ362ζ4−2ζ360000−2ζ12+2ζ282ζ12−2ζ28−1−51+5−2ζ4+2ζ362ζ4−2ζ36−1+51−5−2ζ12+2ζ282ζ12−2ζ28−2i2i−2i2i00002ζ6−2ζ62ζ14−2ζ142ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ222ζ38−2ζ382ζ22−2ζ2200000000000000000000000000000000
χ794-4-4400004-4−1−5−1+51+51−5−1−5−1+51+51−5000000002ζ4−2ζ36−2ζ4+2ζ3600002ζ12−2ζ28−2ζ12+2ζ28−1−51+52ζ4−2ζ36−2ζ4+2ζ36−1+51−52ζ12−2ζ28−2ζ12+2ζ282i−2i2i−2i0000−2ζ142ζ14−2ζ62ζ6−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ38−2ζ222ζ22−2ζ382ζ3800000000000000000000000000000000
χ804-4-4400004-4−1−5−1+51+51−5−1−5−1+51+51−5000000002ζ4−2ζ36−2ζ4+2ζ3600002ζ12−2ζ28−2ζ12+2ζ28−1−51+52ζ4−2ζ36−2ζ4+2ζ36−1+51−52ζ12−2ζ28−2ζ12+2ζ28−2i2i−2i2i00002ζ14−2ζ142ζ6−2ζ62ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ382ζ22−2ζ222ζ38−2ζ3800000000000000000000000000000000
χ814-4-440000-4444-4-444-4-40000000000000000-4400-44002i−2i−2i2i00002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ824-4-440000-4444-4-444-4-40000000000000000-4400-4400−2i2i2i−2i0000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ834-4-440000-44−1+5−1−51−51+5−1+5−1−51−51+5000000002ζ12−2ζ28−2ζ12+2ζ280000−2ζ4+2ζ362ζ4−2ζ361−5−1+5−2ζ12+2ζ282ζ12−2ζ281+5−1−52ζ4−2ζ36−2ζ4+2ζ362i−2i−2i2i0000−2ζ222ζ222ζ38−2ζ382ζ22−2ζ22−2ζ382ζ38−2ζ62ζ62ζ14−2ζ142ζ6−2ζ6−2ζ142ζ1400000000000000000000000000000000
χ844-4-440000-44−1+5−1−51−51+5−1+5−1−51−51+5000000002ζ12−2ζ28−2ζ12+2ζ280000−2ζ4+2ζ362ζ4−2ζ361−5−1+5−2ζ12+2ζ282ζ12−2ζ281+5−1−52ζ4−2ζ36−2ζ4+2ζ36−2i2i2i−2i00002ζ22−2ζ22−2ζ382ζ38−2ζ222ζ222ζ38−2ζ382ζ6−2ζ6−2ζ142ζ14−2ζ62ζ62ζ14−2ζ1400000000000000000000000000000000
χ854-4-440000-44−1+5−1−51−51+5−1+5−1−51−51+500000000−2ζ12+2ζ282ζ12−2ζ2800002ζ4−2ζ36−2ζ4+2ζ361−5−1+52ζ12−2ζ28−2ζ12+2ζ281+5−1−5−2ζ4+2ζ362ζ4−2ζ362i−2i−2i2i0000−2ζ382ζ382ζ22−2ζ222ζ38−2ζ38−2ζ222ζ22−2ζ142ζ142ζ6−2ζ62ζ14−2ζ14−2ζ62ζ600000000000000000000000000000000
χ864-4-440000-44−1+5−1−51−51+5−1+5−1−51−51+500000000−2ζ12+2ζ282ζ12−2ζ2800002ζ4−2ζ36−2ζ4+2ζ361−5−1+52ζ12−2ζ28−2ζ12+2ζ281+5−1−5−2ζ4+2ζ362ζ4−2ζ36−2i2i2i−2i00002ζ38−2ζ38−2ζ222ζ22−2ζ382ζ382ζ22−2ζ222ζ14−2ζ14−2ζ62ζ6−2ζ142ζ142ζ6−2ζ600000000000000000000000000000000
χ874-4-440000-44−1−5−1+51+51−5−1−5−1+51+51−500000000−2ζ4+2ζ362ζ4−2ζ360000−2ζ12+2ζ282ζ12−2ζ281+5−1−52ζ4−2ζ36−2ζ4+2ζ361−5−1+52ζ12−2ζ28−2ζ12+2ζ282i−2i−2i2i0000−2ζ62ζ62ζ14−2ζ142ζ6−2ζ6−2ζ142ζ14−2ζ382ζ382ζ22−2ζ222ζ38−2ζ38−2ζ222ζ2200000000000000000000000000000000
χ884-4-440000-44−1−5−1+51+51−5−1−5−1+51+51−500000000−2ζ4+2ζ362ζ4−2ζ360000−2ζ12+2ζ282ζ12−2ζ281+5−1−52ζ4−2ζ36−2ζ4+2ζ361−5−1+52ζ12−2ζ28−2ζ12+2ζ28−2i2i2i−2i00002ζ6−2ζ6−2ζ142ζ14−2ζ62ζ62ζ14−2ζ142ζ38−2ζ38−2ζ222ζ22−2ζ382ζ382ζ22−2ζ2200000000000000000000000000000000
χ894-4-440000-44−1−5−1+51+51−5−1−5−1+51+51−5000000002ζ4−2ζ36−2ζ4+2ζ3600002ζ12−2ζ28−2ζ12+2ζ281+5−1−5−2ζ4+2ζ362ζ4−2ζ361−5−1+5−2ζ12+2ζ282ζ12−2ζ282i−2i−2i2i0000−2ζ142ζ142ζ6−2ζ62ζ14−2ζ14−2ζ62ζ6−2ζ222ζ222ζ38−2ζ382ζ22−2ζ22−2ζ382ζ3800000000000000000000000000000000
χ904-4-440000-44−1−5−1+51+51−5−1−5−1+51+51−5000000002ζ4−2ζ36−2ζ4+2ζ3600002ζ12−2ζ28−2ζ12+2ζ281+5−1−5−2ζ4+2ζ362ζ4−2ζ361−5−1+5−2ζ12+2ζ282ζ12−2ζ28−2i2i2i−2i00002ζ14−2ζ14−2ζ62ζ6−2ζ142ζ142ζ6−2ζ62ζ22−2ζ22−2ζ382ζ38−2ζ222ζ222ζ38−2ζ3800000000000000000000000000000000
χ9188-8-88-80000−2+25−2−25−2+25−2−252−252+252−252+250000−2+252−250000−2−252+2500000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-88-80000−2−25−2+25−2−25−2+252+252−252+252−250000−2−252+250000−2+252−2500000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-880000−2+25−2−25−2+25−2−252−252+252−252+2500002−25−2+2500002+25−2−2500000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-880000−2−25−2+25−2−25−2+252+252−252+252−2500002+25−2−2500002−25−2+2500000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8008-800−2+25−2−252−252+252−252+25−2+25−2−25000000−2+252−250000−2−252+25000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8008-800−2−25−2+252+252−252+252−25−2−25−2+25000000−2−252+250000−2+252−25000000000000000000000000000000000000000000000000000000000000000000
χ978-88-800-8800−2+25−2−252−252+252−252+25−2+25−2−250000002−25−2+2500002+25−2−25000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-8800−2−25−2+252+252−252+252−25−2−25−2+250000002+25−2−2500002−25−2+25000000000000000000000000000000000000000000000000000000000000000000

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