Finite Group Databasebeta

← Group #12019134

Character table — Group #12019134

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222222222224444444444444444444444448888888888888888888888881616161616161616161616161616161616161616404040404040404080808080
order122222444455101010101010888810101010202020202020202040404040404040401616161640404040808080808080808080808080808080804488202020202020202040404040404040404488161616164488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000000022-2-200000000
χ10222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000000000-2-22200000000
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+52−1−52−1−522222−1+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
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+52−1−52−1−522222−1+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
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+52−1−52−1−52-2-2-2-2−1+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
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+52−1−52−1−52-2-2-2-2−1+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
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+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
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+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
χ172222222222−1−52−1+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
χ182222222222−1−52−1+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
χ19222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-200000000i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000002-200i2i2−i2−i20000
χ20222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-200000000i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000-2200−i2−i2i2i20000
χ21222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-200000000−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000002-200−i2−i2i2i20000
χ22222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-200000000−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000-2200i2i2−i2−i20000
χ232222-2-2-222-2222222222-22-2-2-2-2-22-22-222-2-2222222220000-2-2-2-20000000000000000002i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000
χ242222-2-2-222-2222222222-22-2-2-2-2-22-22-222-2-2222222220000-2-2-2-2000000000000000000−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000
χ252222-2-2-222-222222222-22-22-2-2-2-22-22-222-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000000000002i−2i
χ262222-2-2-222-222222222-22-22-2-2-2-22-22-222-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000000000000000−2i2i
χ272222-2-2-222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521+521−521+52−1+521−52−1−521+52−1+52−1−521−521+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−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
χ282222-2-2-222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521+521−521+52−1+521−52−1−521+52−1+52−1−521−521+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−ζ3600−2i2iζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14000000000000
χ292222-2-2-222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521+521−521+52−1+521−52−1−521+52−1+52−1−521−521+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+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
χ302222-2-2-222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521+521−521+52−1+521−52−1−521+52−1+52−1−521−521+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+ζ3600−2i2i−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14000000000000
χ312222-2-2-222-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-21+521−521+521−52−1−521+52−1+521−52−1−52−1+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−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
χ322222-2-2-222-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-21+521−521+521−52−1−521+52−1+521−52−1−52−1+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−ζ2800−2i2iζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38000000000000
χ332222-2-2-222-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-21+521−521+521−52−1−521+52−1+521−52−1−52−1+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+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
χ342222-2-2-222-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-21+521−521+521−52−1−521+52−1+521−52−1−52−1+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+ζ2800−2i2i−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38000000000000
χ352-2-222-2-22-2222-2-2-2-22222-2-222-2-2-2-2-2-222222222-2-2-2-200002-22-200000000000000002i−2i002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ362-2-222-2-22-2222-2-2-2-22222-2-222-2-2-2-2-2-222222222-2-2-2-200002-22-20000000000000000−2i2i00−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ372-2-222-2-22-2222-2-2-2-222-2-22222-2-2-2-2-2-22222-2-2-2-222220000-22-22000000000000000000000000000000000000000000002-200
χ382-2-222-2-22-2222-2-2-2-222-2-22222-2-2-2-2-2-22222-2-2-2-222220000-22-2200000000000000000000000000000000000000000000-2200
χ392-2-222-2-22-22−1+52−1−521−521−521+521+52−1+52−1−5222-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000−1+521−52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ142i−2i00−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ402-2-222-2-22-22−1+52−1−521−521−521+521+52−1+52−1−5222-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000−1+521−52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−2i2i00ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ412-2-222-2-22-22−1+52−1−521−521−521+521+52−1+52−1−5222-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000−1+521−52−1−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ142i−2i00−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ422-2-222-2-22-22−1+52−1−521−521−521+521+52−1+52−1−5222-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000−1+521−52−1−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−2i2i00ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ432-2-222-2-22-22−1−52−1+521+521+521−521−52−1−52−1+5222-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000−1−521+52−1+521−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ382i−2i00−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ442-2-222-2-22-22−1−52−1+521+521+521−521−52−1−52−1+5222-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000−1−521+52−1+521−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−2i2i00ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.