Finite Group Databasebeta

← Group #12137323

Character table — Group #12137323

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111112222222222222222222244444444444444444444444488888888888888888888888888888888888888888816161616161616161616202020204040404040404040404040404040
order1222222244445510101010101010101010101010102244444420202020202020202020202020202020244444101010101010101020202020202020202020202020202020202020202020202020202020241010101020202020444422444488888888
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
χ5111111111111111111111111111111-1-111-1-11111111111111111-11111-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ6111111111111111111111111111111-1-111-1-11111111111111111-11111-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ7111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1
χ8111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111
χ91111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-11111-1-111-1-111-1-111-1-1
χ101111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-1-1-111111111-1-111-1-1-1-111-1-111
χ121111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ131111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ141111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ151111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ161111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
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+52−1−52−1−5222-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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
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+52−1−52−1−5222-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2−1+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+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
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+52−1−52−1−52-2-222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-222-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+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
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+52−1−52−1−52-2-222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-22221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
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+52−1−52−1−52-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+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+52−1−52−1−52-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+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+5222-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22222-2−1−52−1−52−1+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+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
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+5222-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
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+52-2-222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-221+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+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
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+52-2-222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-22221+521+521−521−521+521+521−521−52−1−52−1−52−1+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+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
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+52-2-2-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52222-2-2-21+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+52-2-2-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2-222-21+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
χ3322222222-2-2-2-222222222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-22222-2-2-2-2-2-2-2-20000000000000000222222220000000000000000000000000000
χ3422222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22000022222222222220000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ3522222222-2-2-2-22222222222222222-2-22222-2-2-2-2-2-2-2-2-2-22222222220000-2-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ3622222222-2-2-2-22222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-200002-2-2-2-2-2-2-2-222220000000000000000-2-2-2-222220000000000000000000000000000
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+52−1−52−1−522222-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-20000-2−1+52−1+52−1−52−1−521−521−521+521+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−ζ36−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200ζ12−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+52−1−52−1−522222-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-20000-2−1+52−1+52−1−52−1−521−521−521+521+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+ζ36−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ3922222222-2-2-2-2−1+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+52−1−52−1−5222-2-2-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52200002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52ζ12−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+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ4022222222-2-2-2-2−1+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+52−1−52−1−5222-2-2-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52200002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−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+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
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χ924-444-4-44-40000−1+5−1−51−5−1+51+5−1−5−1+5−1−5−1+51−5−1−51+51−51−51+51+50000004i−4i00000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000
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χ954-444-4-44-40000−1+5−1−51−5−1+51+5−1−5−1+5−1−5−1+51−5−1−51+51−51−51+51+5000000−4i4i000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000
χ964-444-4-44-40000−1−5−1+51+5−1−51−5−1+5−1−5−1+5−1−51+5−1+51−51+51+51−51−50000004i−4i000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000
χ974-444-4-44-40000−1−5−1+51+5−1−51−5−1+5−1−5−1+5−1−51+5−1+51−51+51+51−51−50000004i−4i00000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ3800000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000
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χ1014-44-444-4-4000044-44-44-4-4-44-44-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i20000
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χ1034-4-444-4-444-44-4−1+5−1−51−51−51+51+51−51+5−1+5−1+5−1−5−1−5−1+51−5−1−51+5000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000
χ1044-4-444-4-444-44-4−1+5−1−51−51−51+51+51−51+5−1+5−1+5−1−5−1−5−1+51−5−1−51+5000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000
χ1054-4-444-4-444-44-4−1−5−1+51+51+51−51−51+51−5−1−5−1−5−1+5−1+5−1−51+5−1+51−5000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000
χ1064-4-444-4-444-44-4−1−5−1+51+51+51−51−51+51−5−1−5−1−5−1+5−1+5−1−51+5−1+51−5000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000
χ1074-4-444-4-44-44-44−1+5−1−51−51−51+51+51−51+5−1+5−1+5−1−5−1−5−1+51−5−1−51+500000000−1+51−5−1+51−5−1−51+5−1−51+5000000000004-4000000000000000000000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000
χ1084-4-444-4-44-44-44−1+5−1−51−51−51+51+51−51+5−1+5−1+5−1−5−1−5−1+51−5−1−51+500000000−1+51−5−1+51−5−1−51+5−1−51+500000000000-440000000000000000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000
χ1094-4-444-4-44-44-44−1−5−1+51+51+51−51−51+51−5−1−5−1−5−1+5−1+5−1−51+5−1+51−500000000−1−51+5−1−51+5−1+51−5−1+51−5000000000004-4000000000000000000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000
χ1104-4-444-4-44-44-44−1−5−1+51+51+51−51−51+51−5−1−5−1−5−1+5−1+5−1−51+5−1+51−500000000−1−51+5−1−51+5−1+51−5−1+51−500000000000-440000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000
χ1114-4-4-4-44444-4-44−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−54-4004-4001−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1+51−51−5−1−5−1−51+51+5000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000
χ1124-4-4-4-44444-4-44−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5-4400-44001−5−1+5−1+51−51+5−1−5−1−51+51−51−5−1+5−1+51+51+5−1−5−1−50000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ1134-4-4-4-44444-4-44−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+54-4004-4001+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1−51+51+5−1+5−1+51−51−5000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000
χ1144-4-4-4-44444-4-44−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5-4400-44001+5−1−5−1−51+51−5−1+5−1+51−51+51+5−1−5−1−51−51−5−1+5−1+50000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4-4444-444-4−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−54-400-4400−1+51−51−5−1+5−1−51+51+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-4444-444-4−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5-44004-400−1+51−51−5−1+5−1−51+51+5−1−5−1+5−1+51−51−5−1−5−1−51+51+50000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-4-4444-444-4−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+54-400-4400−1−51+51+5−1−5−1+51−51−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000
χ1184-4-4-4-4444-444-4−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5-44004-400−1−51+51+5−1−5−1+51−51−5−1+5−1−5−1−51+51+5−1+5−1+51−51−50000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ11988-88-88-8-80000−2+25−2−25−2+252−25−2−252+252−252+25−2+252−25−2−252+252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-88-88-8-80000−2−25−2+25−2−252+25−2+252−252+252−25−2−252+25−2+252−252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-888-8-80000−2+25−2−252−25−2+252+25−2−252−252+252−25−2+252+25−2−252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-888-8-80000−2−25−2+252+25−2−252−25−2+252+252−252+25−2−252−25−2+252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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