Finite Group Databasebeta

← Group #12154574

Character table — Group #12154574

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111112222222222222222222244444444444444444444444488888888888888888888888888888888888888888816161616161616161616202020204040404040404040404040404040
order1222222244445510101010101010101010101010102244444420202020202020202020202020202020244444101010101010101020202020202020202020202020202020202020202020202020202020221010101010101010222222444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ91111111111111111111111111111-1-11111-1-11111111111111111-11111-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1
χ101111111111111111111111111111-1-11111-1-11111111111111111-11111-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ111111111111111111111111111111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111
χ121111111111111111111111111111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1
χ131111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ141111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ161111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-22−1+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+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ21222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52-2-21−521−521+521+521−521−521+521+52000000000000000000
χ22222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ23222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+521−521−521+521+52−1+52−1+52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ24222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ25222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ26222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000000000000000
χ27222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ28222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2222−1−52−1−52−1+52−1+521+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+52−1−52−1−52−1+52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ29222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−52-2-21+521+521−521−521+521+521−521−52000000000000000000
χ30222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ31222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ32222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-222-21+521+521−521−52−1−52−1−52−1+52−1+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+521+521+521−521−52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3322222222-2-2-2-222222222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-220000-222222222-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ3422222222-2-2-2-2222222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-22222-2-2-2-222220000000000000000-2-2-2-222220000000000000000000000000000
χ3522222222-2-2-2-22222222222222222-2-222-2-22222222222-2-2-2-2-2-2-2-2-200002-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222220000000000000000000000000000
χ3622222222-2-2-2-22222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2200002-2-2-2-22222222200000000000000002222-2-2-2-20000000000000000000000000000
χ3722222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5220000-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ3822222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5220000-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
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χ8644-4-44-4-44-44-44−1−5−1+5−1−51+5−1+51−51+51+51−51−5−1−51+5−1+51−5−1−5−1+50000000000000000−1−5−1−51+51+5−1+5−1+51−51−50004-4000000000000000000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000
χ8744-4-44-4-44-44-44−1−5−1+5−1−51+5−1+51−51+51+51−51−5−1−51+5−1+51−5−1−5−1+50000000000000000−1−5−1−51+51+5−1+5−1+51−51−5000-440000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000
χ8844-4-4-444-40000444-44-4-44-44-44-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022−2200
χ8944-4-4-444-40000444-44-4-44-44-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−222200
χ904-44-44-44-4000044-44-44-44-444-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022−22
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χ934-44-4-44-4444-4-4−1+5−1−51−5−1+51+5−1−51−51−51+51+51−5−1+51+5−1−5−1+5−1−500000000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ944-44-4-44-4444-4-4−1+5−1−51−5−1+51+5−1−51−51−51+51+51−5−1+51+5−1−5−1+5−1−500000000000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
χ954-44-4-44-4444-4-4−1−5−1+51+5−1−51−5−1+51+51+51−51−51+5−1−51−5−1+5−1−5−1+500000000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000
χ964-44-4-44-4444-4-4−1−5−1+51+5−1−51−5−1+51+51+51−51−51+5−1−51−5−1+5−1−5−1+500000000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
χ974-44-4-44-44-4-444−1+5−1−51−5−1+51+5−1−51−51−51+51+51−5−1+51+5−1−5−1+5−1−50000000000000000−1+51−5−1+51−5−1−51+5−1−51+504-4000000000000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000
χ984-44-4-44-44-4-444−1+5−1−51−5−1+51+5−1−51−51−51+51+51−5−1+51+5−1−5−1+5−1−50000000000000000−1+51−5−1+51−5−1−51+5−1−51+50-440000000000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000000
χ994-44-4-44-44-4-444−1−5−1+51+5−1−51−5−1+51+51+51−51−51+5−1−51−5−1+5−1−5−1+50000000000000000−1−51+5−1−51+5−1+51−5−1+51−504-4000000000000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000
χ1004-44-4-44-44-4-444−1−5−1+51+5−1−51−5−1+51+51+51−51−51+5−1−51−5−1+5−1−5−1+50000000000000000−1−51+5−1−51+5−1+51−5−1+51−50-440000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000
χ1014-4-4444-4-4000044-4-4-4-44-44-44444-4-44-400000000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-4-4000044-4-4-4-44-44-44444-4-4-440000000000000000000000000000-44-44000000000000000000000000000000000000000000000000000000000000
χ1034-4-4444-4-40000−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+54-40000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000−1+51−5−1−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000000000000000
χ1044-4-4444-4-40000−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+54-4000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000−1+51−5−1−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000000000000000
χ1054-4-4444-4-40000−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+5-440000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000001−5−1+51+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000000000000000
χ1064-4-4444-4-40000−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+5-44000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000001−5−1+51+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000000000000000
χ1074-4-4444-4-40000−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−54-4000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000−1−51+5−1+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000000000000000
χ1084-4-4444-4-40000−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−54-40000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000−1−51+5−1+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000000000000000
χ1094-4-4444-4-40000−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−5-44000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000001+5−1−51−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000000000000000
χ1104-4-4444-4-40000−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−5-440000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000001+5−1−51−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000000000000000
χ1114-4-44-4-4444-4-44−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−5004-44-400−1+5−1+51−51−5−1−5−1−51+51+5−1+51−51−5−1+5−1−51+51+5−1−500000000000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000000
χ1124-4-44-4-4444-4-44−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−500-44-44001−51−5−1+5−1+51+51+5−1−5−1−5−1+51−51−5−1+5−1−51+51+5−1−5000000000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000
χ1134-4-44-4-4444-4-44−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+5004-44-400−1−5−1−51+51+5−1+5−1+51−51−5−1−51+51+5−1−5−1+51−51−5−1+500000000000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
χ1144-4-44-4-4444-4-44−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+500-44-44001+51+5−1−5−1−51−51−5−1+5−1+5−1−51+51+5−1−5−1+51−51−5−1+5000000000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000
χ1154-4-44-4-444-444-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−5004-4-4400−1+5−1+51−51−5−1−5−1−51+51+51−5−1+5−1+51−51+5−1−5−1−51+5000000000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000
χ1164-4-44-4-444-444-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−500-444-4001−51−5−1+5−1+51+51+5−1−5−1−51−5−1+5−1+51−51+5−1−5−1−51+500000000000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000000
χ1174-4-44-4-444-444-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+5004-4-4400−1−5−1−51+51+5−1+5−1+51−51−51+5−1−5−1−51+51−5−1+5−1+51−5000000000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000
χ1184-4-44-4-444-444-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+500-444-4001+51+5−1−5−1−51−51−5−1+5−1+51+5−1−5−1−51+51−5−1+5−1+51−500000000000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
χ11988-8-8-888-80000−2+25−2−25−2+252−25−2−252+252−25−2+252+25−2−252−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-888-80000−2−25−2+25−2−252+25−2+252−252+25−2−252−25−2+252+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-88-88-80000−2+25−2−252−25−2+252+25−2−252−25−2+252+25−2−25−2+252−25−2−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-88-88-80000−2−25−2+252+25−2−252−25−2+252+25−2−252−25−2+25−2−252+25−2+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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