Finite Group Databasebeta

← Group #10601113

Character table — Group #10601113

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222222222222244444444444488888888888888888888888888888820202020404040404040
order1222224444551010101010101010101020202020202020202244881010101010101010202020202020202040404040404040408888448888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ6111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1
χ8111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ92222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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
χ102222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000
χ112222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000000000
χ122222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000
χ132222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000
χ142222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000
χ152222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000
χ162222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-2-2-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000
χ17222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000002i−2i
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000−2i2i
χ192222-2-22-2-2222222222-2-2-2-222-222-2-2-200000000000000000000000000000022-2-2000000
χ202222-2-22-2-2222222222-2-2-2-222-222-2-2-2000000000000000000000000000000-2-222000000
χ212222-2-2-222-222222222-2-2-2-2-2-22-2-2222002-2000000000022-2-222-2-2000000000000000000
χ222222-2-2-222-222222222-2-2-2-2-2-22-2-222200-220000000000-2-222-2-222000000000000000000
χ232222-2-2-222-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−52−1+521+521+52−1−52−1+52−1−52002-200ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360000000000
χ242222-2-2-222-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−52−1+521+521+52−1−52−1+52−1−52002-200−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360000000000
χ252222-2-2-222-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−52−1+521+521+52−1−52−1+52−1−5200-2200ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360000000000
χ262222-2-2-222-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−52−1+521+521+52−1−52−1+52−1−5200-2200−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360000000000
χ272222-2-2-222-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+52−1−521−521−52−1+52−1−52−1+52002-200−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−521+521+52−1+52−1+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280000000000
χ282222-2-2-222-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+52−1−521−521−52−1+52−1−52−1+52002-200ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−521+521+52−1+52−1+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280000000000
χ292222-2-2-222-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+52−1−521−521−52−1+52−1−52−1+5200-2200−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+52−1−52−1−521−521−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280000000000
χ302222-2-2-222-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+52−1−521−521−52−1+52−1−52−1+5200-2200ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+52−1−52−1−521−521−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280000000000
χ312-2-222-222-2-2222-2-22-2-22-22-22-2-22-2-2220000000000000000000000000000000000002i−2i00
χ322-2-222-222-2-2222-2-22-2-22-22-22-2-22-2-222000000000000000000000000000000000000−2i2i00
χ332-2-222-2-2-222222-2-22-2-22-22-2-222-222-2-22-200002-22-22-22-200000000000000000000000000
χ342-2-222-2-2-222222-2-22-2-22-22-2-222-222-2-2-220000-22-22-22-2200000000000000000000000000
χ352-2-222-2-2-222−1+52−1−52−1+521−521−52−1−521+521+52−1+521−52−1−521+521−52−1+52−1+521+52−1−52−1−521−521+522-20000−1+521−52−1+521−52−1−521+52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140000000000
χ362-2-222-2-2-222−1+52−1−52−1+521−521−52−1−521+521+52−1+521−52−1−521+521−52−1+52−1+521+52−1−52−1−521−521+522-20000−1+521−52−1+521−52−1−521+52−1−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140000000000
χ372-2-222-2-2-222−1+52−1−52−1+521−521−52−1−521+521+52−1+521−52−1−521+521−52−1+52−1+521+52−1−52−1−521−521+52-2200001−52−1+521−52−1+521+52−1−521+52−1−52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140000000000
χ382-2-222-2-2-222−1+52−1−52−1+521−521−52−1−521+521+52−1+521−52−1−521+521−52−1+52−1+521+52−1−52−1−521−521+52-2200001−52−1+521−52−1+521+52−1−521+52−1−52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140000000000
χ392-2-222-2-2-222−1−52−1+52−1−521+521+52−1+521−521−52−1−521+52−1+521−521+52−1−52−1−521−52−1+52−1+521+521−522-20000−1−521+52−1−521+52−1+521−52−1+521−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ380000000000
χ402-2-222-2-2-222−1−52−1+52−1−521+521+52−1+521−521−52−1−521+52−1+521−521+52−1−52−1−521−52−1+52−1+521+521−522-20000−1−521+52−1−521+52−1+521−52−1+521−52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ380000000000
χ412-2-222-2-2-222−1−52−1+52−1−521+521+52−1+521−521−52−1−521+52−1+521−521+52−1−52−1−521−52−1+52−1+521+521−52-2200001+52−1−521+52−1−521−52−1+521−52−1+52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ380000000000
χ422-2-222-2-2-222−1−52−1+52−1−521+521+52−1+521−521−52−1−521+52−1+521−521+52−1−52−1−521−52−1+52−1+521+521−52-2200001+52−1−521+52−1−521−52−1+521−52−1+52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ380000000000
χ432-2-22-222-22-2222-2-22-2-2-22-222-222-22-2-200002i−2i00000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ442-2-22-222-22-2222-2-22-2-2-22-222-222-22-2-20000−2i2i0000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ452-2-22-222-22-2−1+52−1−52−1+521−521−52−1−521+521+521−52−1+521+52−1−52−1+521−52−1+52−1−521+52−1−521−521+5200002i−2iζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ140000000000
χ462-2-22-222-22-2−1+52−1−52−1+521−521−52−1−521+521+521−52−1+521+52−1−52−1+521−52−1+52−1−521+52−1−521−521+5200002i−2i−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ140000000000
χ472-2-22-222-22-2−1+52−1−52−1+521−521−52−1−521+521+521−52−1+521+52−1−52−1+521−52−1+52−1−521+52−1−521−521+520000−2i2iζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ140000000000
χ482-2-22-222-22-2−1+52−1−52−1+521−521−52−1−521+521+521−52−1+521+52−1−52−1+521−52−1+52−1−521+52−1−521−521+520000−2i2i−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ140000000000
χ492-2-22-222-22-2−1−52−1+52−1−521+521+52−1+521−521−521+52−1−521−52−1+52−1−521+52−1−52−1+521−52−1+521+521−5200002i−2i−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ380000000000
χ502-2-22-222-22-2−1−52−1+52−1−521+521+52−1+521−521−521+52−1−521−52−1+52−1−521+52−1−52−1+521−52−1+521+521−5200002i−2iζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ380000000000
χ512-2-22-222-22-2−1−52−1+52−1−521+521+52−1+521−521−521+52−1−521−52−1+52−1−521+52−1−52−1+521−52−1+521+521−520000−2i2i−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ380000000000
χ522-2-22-222-22-2−1−52−1+52−1−521+521+52−1+521−521−521+52−1−521−52−1+52−1−521+52−1−52−1+521−52−1+521+521−520000−2i2iζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ380000000000
χ532-2-22-22-22-22222-2-22-2-2-22-22-22-2-22-22200000000000000000000000000000000002-20000
χ542-2-22-22-22-22222-2-22-2-2-22-22-22-2-22-2220000000000000000000000000000000000-220000
χ55444444-4-4-4-4−1+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+50000000000000000000000000000000000000000
χ56444444-4-4-4-4−1−5−1+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+51−50000000000000000000000000000000000000000
χ574444-4-44-4-44−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+5−1+5−1+51−5−1−5−1−51+51−51+50000000000000000000000000000000000000000
χ584444-4-44-4-44−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−5−1−5−1−51+5−1+5−1+51−51+51−50000000000000000000000000000000000000000
χ5944-4-400000044-44-4-44-4000000000000000000000000000000000000000000002i2−2i2000000
χ6044-4-400000044-44-4-44-400000000000000000000000000000000000000000000−2i22i2000000
χ614-44-400000044-4-44-4-440000000000000000000000000000000000000000002i2−2i200000000
χ624-44-400000044-4-44-4-44000000000000000000000000000000000000000000−2i22i200000000
χ634-4-444-444-4-4−1+5−1−5−1+51−51−5−1−51+51+5−1+51−5−1−51+5−1+51−51−5−1−51+51+5−1+5−1−50000000000000000000000000000000000000000
χ644-4-444-444-4-4−1−5−1+5−1−51+51+5−1+51−51−5−1−51+5−1+51−5−1−51+51+5−1+51−51−5−1−5−1+50000000000000000000000000000000000000000
χ654-4-44-44-44-44−1+5−1−5−1+51−51−5−1−51+51+51−5−1+51+5−1−51−5−1+51−51+5−1−51+5−1+5−1−50000000000000000000000000000000000000000
χ664-4-44-44-44-44−1−5−1+5−1−51+51+5−1+51−51−51+5−1−51−5−1+51+5−1−51+51−5−1+51−5−1−5−1+50000000000000000000000000000000000000000
χ6788-8-8000000−2+25−2−252−25−2+252−252+25−2−252+250000000000000000000000000000000000000000000000000000
χ6888-8-8000000−2−25−2+252+25−2−252+252−25−2+252−250000000000000000000000000000000000000000000000000000
χ698-88-8000000−2+25−2−252−252−25−2+252+252+25−2−250000000000000000000000000000000000000000000000000000
χ708-88-8000000−2−25−2+252+252+25−2−252−252−25−2+250000000000000000000000000000000000000000000000000000

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