Finite Group Databasebeta

← Group #11996092

Character table — Group #11996092

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size111122222222222222224444444444444444444444488888888888888888888888816161616161616161616161616161616161616164040404040404040404040408080
order1222224444445510101010101044410101010202020202020202020202020202020204444202020202020202020202020202020202020202044882020202020202020404040404040404088888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ91111-1-11-11-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-111-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−ii−i
χ101111-1-11-11-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-111-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−ii
χ111111-1-11-11-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−ii
χ121111-1-11-11-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−ii−i
χ131111-1-11-11-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1111111-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−ii
χ141111-1-11-11-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1111111-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiii−i
χ151111-1-11-11-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1111111-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiii−i
χ161111-1-11-11-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1111111-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−ii
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−5200000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+5200000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+52−1+52−1−52−1+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+5200000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+52−1+52−1−52−1+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+52−1−52−1−5200000000000000
χ21222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+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+5200000000000000
χ22222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+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+521−521−5200000000000000
χ23222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+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+521−521−52−1−52−1+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+521−521−5200000000000000
χ24222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+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+521−521−52−1−52−1+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+5200000000000000
χ252222222222-2-222222222-2-2-222222-2-22-2-222-2-222-2-22222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ262222222222-2-222222222-2-2-222222-2-22-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000
χ272222222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ282222222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ292222222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52-2-2221−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ302222222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52-2-2221−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ312222222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ322222222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ332222222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52-2-2221+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+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ342222222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52-2-2221+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+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ35222222-2-2-2-222222222222-2-22222-222-222-2-222-2-222-2-2000000000000-2-2-2-2000000000000000000000000000000002-22-2000000
χ36222222-2-2-2-222222222222-2-22222-222-222-2-222-2-222-2-2000000000000-2-2-2-200000000000000000000000000000000-22-22000000
χ37222222-2-2-2-2-2-222222222-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000222200000000000000000000000000002i−2i2i−2i0000000000
χ38222222-2-2-2-2-2-222222222-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022220000000000000000000000000000−2i2i−2i2i0000000000
χ392222-2-22-22-22222222222-2-22-2-2-2-22-2-22-2-2-2-222-2-222222-2-222222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000000000
χ402222-2-22-22-22222222222-2-22-2-2-2-22-2-22-2-2-2-222-2-22222-222-2-2-2-2-22222-2-2222222-2-2-2-20000000000000000000000000000000000
χ412222-2-22-22-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ422222-2-22-22-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ432222-2-22-22-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ442222-2-22-22-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ452222-2-22-22-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+521+521−521−52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ462222-2-22-22-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+521+521−521−52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ472222-2-22-22-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+521+521−521−52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ482222-2-22-22-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+521+521−521−52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ492222-2-22-22-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-21−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ502222-2-22-22-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-21−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ512222-2-22-22-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-21−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-22-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ522222-2-22-22-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-21−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-22-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ532222-2-22-22-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-21+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ542222-2-22-22-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-21+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ552222-2-22-22-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-21+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-22-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ562222-2-22-22-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-21+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-22-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ572222-2-2-22-222222222222-22-2-2-2-2-2-2-2-2-2-2-222222222-2-200000000000022-2-200000000000000000000000000002-2-220000000000
χ582222-2-2-22-222222222222-22-2-2-2-2-2-2-2-2-2-2-222222222-2-200000000000022-2-20000000000000000000000000000-222-20000000000
χ592222-2-2-22-22-2-2222222222-22-2-2-2-2-222-22222-2-222-2-2-2-2000000000000-2-222000000000000000000000000000000002i−2i−2i2i000000
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χ61444444-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-4-4−1+5−1+5−1−5−1−51−5−1+5−1+51+5−1−5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51+50000000000001−51+51−51+5000000000000000000000000000000000000000000
χ62444444-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-4-4−1−5−1−5−1+5−1+51+5−1−5−1−51−5−1+5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51−50000000000001+51−51+51−5000000000000000000000000000000000000000000
χ63444444-4-4-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-444−1+5−1+5−1−5−1−51−51−51−51+51+51+51−51−51−51−51+51+51+51+51−51+5000000000000−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000
χ64444444-4-4-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-444−1−5−1−5−1+5−1+51+51+51+51−51−51−51+51+51+51+51−51−51−51−51+51−5000000000000−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000
χ654444-4-4-44-4444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-44-41−51−51+51+51−51−51−51+51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51+5000000000000−1+5−1−51−51+5000000000000000000000000000000000000000000
χ664444-4-4-44-4444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-44-41+51+51−51−51+51+51+51−51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51−5000000000000−1−5−1+51+51−5000000000000000000000000000000000000000000
χ674444-4-4-44-44-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-441−51−51+51+51−5−1+5−1+51+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+51−51+50000000000001−51+5−1+5−1−5000000000000000000000000000000000000000000
χ684444-4-4-44-44-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-441+51+51−51−51+5−1−5−1−51−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−51+51−50000000000001+51−5−1−5−1+5000000000000000000000000000000000000000000
χ6944-4-44-44-4-4400444-44-4-4-40004-44-44004004-4004-400-4-40000000000000000000000000000000000000000000000000000000000
χ7044-4-44-44-4-4400−1+5−1−5−1+51−5−1−51+51−51+5000−1+51−5−1−51+5−1+500−1−500−1+51−500−1−51+5001−51+500002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000
χ7144-4-44-44-4-4400−1+5−1−5−1+51−5−1−51+51−51+5000−1+51−5−1−51+5−1+500−1−500−1+51−500−1−51+5001−51+50000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000
χ7244-4-44-44-4-4400−1−5−1+5−1−51+5−1+51−51+51−5000−1−51+5−1+51−5−1−500−1+500−1−51+500−1+51−5001+51−50000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000
χ7344-4-44-44-4-4400−1−5−1+5−1−51+5−1+51−51+51−5000−1−51+5−1+51−5−1−500−1+500−1−51+500−1+51−5001+51−500002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000
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χ7644-4-44-4-444-400−1+5−1−5−1+51−5−1−51+51−51+5000−1+51−5−1−51+51−5001+5001−5−1+5001+5−1−500−1+5−1−500000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000
χ7744-4-44-4-444-400−1−5−1+5−1−51+5−1+51−51+51−5000−1−51+5−1+51−51+5001−5001+5−1−5001−5−1+500−1−5−1+500000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000
χ7844-4-44-4-444-400−1−5−1+5−1−51+5−1+51−51+51−5000−1−51+5−1+51−51+5001−5001+5−1−5001−5−1+500−1−5−1+50000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000
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χ8044-4-4-4444-4-400−1+5−1−5−1+51−5−1−51+51−51+50001−5−1+51+5−1−5−1+500−1−5001−5−1+5001+5−1−5001−51+500002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000
χ8144-4-4-4444-4-400−1+5−1−5−1+51−5−1−51+51−51+50001−5−1+51+5−1−5−1+500−1−5001−5−1+5001+5−1−5001−51+50000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000
χ8244-4-4-4444-4-400−1−5−1+5−1−51+5−1+51−51+51−50001+5−1−51−5−1+5−1−500−1+5001+5−1−5001−5−1+5001+51−50000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000
χ8344-4-4-4444-4-400−1−5−1+5−1−51+5−1+51−51+51−50001+5−1−51−5−1+5−1−500−1+5001+5−1−5001−5−1+5001+51−500002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000
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χ8644-4-4-44-4-44400−1+5−1−5−1+51−5−1−51+51−51+50001−5−1+51+5−1−51−5001+500−1+51−500−1−51+500−1+5−1−500000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000
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χ8844-4-4-44-4-44400−1−5−1+5−1−51+5−1+51−51+51−50001+5−1−51−5−1+51+5001−500−1−51+500−1+51−500−1−5−1+50000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000
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χ938-88-80000000088-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ988-8-880000008i−8i−2+25−2−252−252−252+252+25−2+25−2−25000000000000000−4ζ22−4ζ384ζ22+4ζ3800−4ζ6−4ζ144ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000
χ998-8-880000008i−8i−2−25−2+252+252+252−252−25−2−25−2+25000000000000000−4ζ6−4ζ144ζ6+4ζ1400−4ζ22−4ζ384ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000
χ1008-8-88000000−8i8i−2+25−2−252−252−252+252+25−2+25−2−250000000000000004ζ22+4ζ38−4ζ22−4ζ38004ζ6+4ζ14−4ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000−8i8i−2−25−2+252+252+252−252−25−2−25−2+250000000000000004ζ6+4ζ14−4ζ6−4ζ14004ζ22+4ζ38−4ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000

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