Finite Group Databasebeta

← Group #12018166

Character table — Group #12018166

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222224444444444444444444444888888888888888888888888161616161616161616161616161616161616161620202020202020204040404080808080
order122222444455888810101010101088101010102020202020202020404040404040404016161616404040408080808080808080808080808080808022881010101010101010404040404040404044448888161616162224
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ9222222222222-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000000000000000000002222-2-2-2-200000000
χ10222222222222-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000000000-2-2-2-2222200000000
χ112222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−520000000000000000
χ122222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+520000000000000000
χ132222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+520000000000000000
χ142222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−520000000000000000
χ152222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+520000000000000000
χ162222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−521−521−521−520000000000000000
χ172222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+521−521−521−521−520000000000000000
χ182222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+520000000000000000
χ192222-2-222-2-2222222222222-2-2-2-2-2-22-22-222-2-2222222220000-2-2-2-2000000000000000000000000000000000000000000000000002-2
χ202222-2-222-2-2222222222222-2-2-2-2-2-22-22-222-2-2222222220000-2-2-2-200000000000000000000000000000000000000000000000000-22
χ212222-2-222-2-222-2-2-2-222222222-2-2-2-22-22-222-2-2-2-2-2-2-2-2-2-2000022220000000000000000002i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ222222-2-222-2-222-2-2-2-222222222-2-2-2-22-22-222-2-2-2-2-2-2-2-2-2-200002222000000000000000000−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ232222-2-222-2-2−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52221−521−521+521+52−1+521−52−1−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+520000−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14002i−2iζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000000000000000
χ242222-2-222-2-2−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52221−521−521+521+52−1+521−52−1−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+520000−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ1400−2i2i−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000000000000000
χ252222-2-222-2-2−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52221−521−521+521+52−1+521−52−1−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+520000−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14002i−2i−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000000000000000
χ262222-2-222-2-2−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52221−521−521+521+52−1+521−52−1−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+520000−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ1400−2i2iζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000000000000000
χ272222-2-222-2-2−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52221+521+521−521−52−1−521+52−1+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−520000−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38002i−2iζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ380000000000000000
χ282222-2-222-2-2−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52221+521+521−521−52−1−521+52−1+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−520000−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ3800−2i2i−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ380000000000000000
χ292222-2-222-2-2−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52221+521+521−521−52−1−521+52−1+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−520000−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38002i−2i−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ380000000000000000
χ302222-2-222-2-2−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52221+521+521−521−52−1−521+52−1+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−520000−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ3800−2i2iζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ380000000000000000
χ312222-2-2-2-22222000022222200-2-2-2-2-22-22-2-2220000000022−2−2000022−2−222−2−222−2−222−2−200000000000000000000000022-2-222−2−20000
χ322222-2-2-2-22222000022222200-2-2-2-2-22-22-2-2220000000022−2−2000022−2−222−2−222−2−222−2−2000000000000000000000000-2-222−2−2220000
χ332222-2-2-2-22222000022222200-2-2-2-2-22-22-2-22200000000−2−2220000−2−222−2−222−2−222−2−22200000000000000000000000022-2-2−2−2220000
χ342222-2-2-2-22222000022222200-2-2-2-2-22-22-2-22200000000−2−2220000−2−222−2−222−2−222−2−222000000000000000000000000-2-22222−2−20000
χ352-2-222-2-222-22222-2-2-2-2-2-2222-22-22-2-2-2-2-22222-2-2-2-222222-22-22-22-22-22-22-22-22-22-22-22-2000000000000000000000000000000000000
χ362-2-222-2-222-22222-2-2-2-2-2-2222-22-22-2-2-2-2-22222-2-2-2-22222-22-222-22-2-22-22-22-22-22-22-22-22000000000000000000000000000000000000
χ372-2-222-2-222-222-2-222-2-2-2-222-222-22-2-2-2-2-222222222-2-2-2-20000-22-22000000000000000000000000000000000000000000002-22-20000
χ382-2-222-2-222-222-2-222-2-2-2-222-222-22-2-2-2-2-222222222-2-2-2-20000-22-2200000000000000000000000000000000000000000000-22-220000
χ392-2-222-2-222-2−1+52−1−5222-2-21−521−521+521+52−1+52−1−522-2−1+521−52−1−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-22-2−1+521−52−1−521+52−1+521−52−1+521−52−1+521−52−1+521−52−1−521+52−1−521+52−1−521+52−1−521+520000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ360000000000000000
χ402-2-222-2-222-2−1+52−1−5222-2-21−521−521+521+52−1+52−1−522-2−1+521−52−1−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-22-2−1+521−52−1−521+52−1+521−52−1+521−52−1+521−52−1+521−52−1−521+52−1−521+52−1−521+52−1−521+520000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ360000000000000000
χ412-2-222-2-222-2−1+52−1−5222-2-21−521−521+521+52−1+52−1−522-2−1+521−52−1−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-22−1+521−52−1−521+521−52−1+521−52−1+521−52−1+521−52−1+521+52−1−521+52−1−521+52−1−521+52−1−520000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ360000000000000000
χ422-2-222-2-222-2−1+52−1−5222-2-21−521−521+521+52−1+52−1−522-2−1+521−52−1−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-22−1+521−52−1−521+521−52−1+521−52−1+521−52−1+521−52−1+521+52−1−521+52−1−521+52−1−521+52−1−520000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ360000000000000000
χ432-2-222-2-222-2−1−52−1+5222-2-21+521+521−521−52−1−52−1+522-2−1−521+52−1+521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-22-2−1−521+52−1+521−52−1−521+52−1−521+52−1−521+52−1−521+52−1+521−52−1+521−52−1+521−52−1+521−520000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ280000000000000000
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χ914-4-44-444-44-4−1+5−1−500001−51−51+51+5−1+5−1−5001−5−1+51+5−1−5−1+51−5−1−51+51−51+5−1+5−1−50000000022−22−22220000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000000000
χ924-4-44-444-44-4−1+5−1−500001−51−51+51+5−1+5−1−5001−5−1+51+5−1−5−1+51−5−1−51+51−51+5−1+5−1−500000000−222222−220000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000000000000000
χ934-4-44-444-44-4−1−5−1+500001+51+51−51−5−1−5−1+5001+5−1−51−5−1+5−1−51+5−1+51−51+51−5−1−5−1+50000000022−22−22220000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000000000
χ944-4-44-444-44-4−1−5−1+500001+51+51−51−5−1−5−1+5001+5−1−51−5−1+5−1−51+5−1+51−51+51−5−1−5−1+500000000−222222−220000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000000000
χ954-4-44-44-44-44−1+5−1−544-4-41−51−51+51+5−1+5−1−5-441−5−1+51+5−1−51−5−1+51+5−1−5−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−500001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000
χ964-4-44-44-44-44−1−5−1+544-4-41+51+51−51−5−1−5−1+5-441+5−1−51−5−1+51+5−1−51−5−1+5−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+500001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000
χ9788-8-8000000−2+25−2−2542−4242−42−2+252−25−2−252+252−252+2500000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000000000000000000000
χ9888-8-8000000−2+25−2−25−4242−4242−2+252−25−2−252+252−252+25000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000000000000000000000
χ9988-8-8000000−2−25−2+2542−4242−42−2−252+25−2+252−252+252−25000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000000000000000
χ10088-8-8000000−2−25−2+25−4242−4242−2−252+25−2+252−252+252−2500000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000000000000000000000
χ1018-88-8000000−2+25−2−2542−42−42422−25−2+252+25−2−252−252+25000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000000000000000000000
χ1028-88-8000000−2+25−2−25−424242−422−25−2+252+25−2−252−252+2500000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000000000000000000000
χ1038-88-8000000−2−25−2+2542−42−42422+25−2−252−25−2+252+252−2500000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000000000000000
χ1048-88-8000000−2−25−2+25−424242−422+25−2−252−25−2+252+252−25000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000000000000000000000

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