Finite Group Databasebeta

← Group #12172448

Character table — Group #12172448

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111111122222222222222222222222244444444444444444444448888888888888888888888888888888888888888881616161616161616161620202020202020202020202040404040404040404040
order1222222244444444551010101010101010101010101010444444202020202020202020202020202020204444442020202020202020202020202020202020202020202020202020202020202020202020204420202020202020204444888888882222448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-11111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ10111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ11111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ12111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ13111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1
χ14111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111
χ15111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ16111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ172222222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−520000000000000000000000
χ182222222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+520000000000000000000000
χ192222222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222221−521−521+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+52−1−52−1−52−1−52−1−521−521−521+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+520000000000000000000000
χ202222222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+521+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+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ212222222222222222−1−52−1+52−1−52−1+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+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+520000000000000000000000
χ222222222222222222−1−52−1+52−1−52−1+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+5222-2-2-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−520000000000000000000000
χ232222222222222222−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222221+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+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+521−521−520000000000000000000000
χ242222222222222222−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-21+521+521−521−52−1−52−1−52−1+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+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ25222222222-2-2-2-2222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−522-222-2-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ26222222222-2-2-2-2222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−522-2-2-222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
χ27222222222-2-2-2-2222−1+52−1−52−1+52−1−52−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2222-2-21−521−521+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+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
χ28222222222-2-2-2-2222−1+52−1−52−1+52−1−52−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ29222222222-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+522-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ30222222222-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+522-2-2-222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000
χ31222222222-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2222-2-21+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+521−521−521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000
χ32222222222-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ3322222222-22222-2-2-22222222222222222-2-2222222222222-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-222-2-222-2-20000000022220000000000000000000000000000000000000000
χ3422222222-22222-2-2-22222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200002222-2-2-2-2-2-222-2-22200000000-2-2-2-20000000000000000000000000000000000000000
χ3522222222-22222-2-2-2−1+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+52−1−52−1−52-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-200001−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000000000
χ3622222222-22222-2-2-2−1+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+52−1−52−1−52-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-200001−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000000000
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χ8544-4-444-4-4-44i4i−4i−4i44-4−1+5−1−5−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5−4i4i0000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ141−51−5−1+5−1+51+51+5−1−5−1−500000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000000000000000
χ8644-4-444-4-4-44i4i−4i−4i44-4−1−5−1+5−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−4i4i0000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ381+51+5−1−5−1−51−51−5−1+5−1+500000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000000000000000
χ8744-4-444-4-4-4−4i−4i4i4i44-4−1+5−1−5−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−54i−4i00002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ141−51−5−1+5−1+51+51+5−1−5−1−50000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000000000000000
χ8844-4-444-4-4-4−4i−4i4i4i44-4−1−5−1+5−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+54i−4i00002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ381+51+5−1−5−1−51−51−5−1+5−1+50000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000000000000000
χ894-4444-4-4-404i−4i4i−4i000−1+5−1−51−51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+51−5−1−51+5004-44i−4i−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000000000000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ140000000000−1+51−5−1−51+50000000000000000000000000000000000000000
χ904-4444-4-4-404i−4i4i−4i000−1+5−1−51−51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+51−5−1−51+500-44−4i4i−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ1400000000001−5−1+51+5−1−50000000000000000000000000000000000000000
χ914-4444-4-4-404i−4i4i−4i000−1−5−1+51+51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−51+5−1+51−5004-44i−4i−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000000000000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ380000000000−1−51+5−1+51−50000000000000000000000000000000000000000
χ924-4444-4-4-404i−4i4i−4i000−1−5−1+51+51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−51+5−1+51−500-44−4i4i−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ3800000000001+5−1−51−5−1+50000000000000000000000000000000000000000
χ934-4444-4-4-40−4i4i−4i4i000−1+5−1−51−51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+51−5−1−51+5004-4−4i4i2ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ140000000000−1+51−5−1−51+50000000000000000000000000000000000000000
χ944-4444-4-4-40−4i4i−4i4i000−1+5−1−51−51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+51−5−1−51+500-444i−4i2ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000000000000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ1400000000001−5−1+51+5−1−50000000000000000000000000000000000000000
χ954-4444-4-4-40−4i4i−4i4i000−1−5−1+51+51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−51+5−1+51−5004-4−4i4i2ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ380000000000−1−51+5−1+51−50000000000000000000000000000000000000000
χ964-4444-4-4-40−4i4i−4i4i000−1−5−1+51+51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−51+5−1+51−500-444i−4i2ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000000000000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ3800000000001+5−1−51−5−1+50000000000000000000000000000000000000000
χ974-44-4-444-4400004-4-4−1+5−1−51−51+5−1+51−5−1+51−5−1−51+5−1−51+51−5−1+51+5−1−500000000000000−1+51−5−1+51−5−1−51+5−1−51+500004i−4i0000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000000000
χ984-44-4-444-4400004-4-4−1+5−1−51−51+5−1+51−5−1+51−5−1−51+5−1−51+51−5−1+51+5−1−500000000000000−1+51−5−1+51−5−1−51+5−1−51+50000−4i4i00000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000000000
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χ1004-44-4-444-4400004-4-4−1−5−1+51+51−5−1−51+5−1−51+5−1+51−5−1+51−51+5−1−51−5−1+500000000000000−1−51+5−1−51+5−1+51−5−1+51−50000−4i4i00000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000
χ1014-44-4-444-4-40000-44444-4-44-44-44-44-4-44-4400000000000000-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-44-4-444-4-40000-444−1+5−1−51−51+5−1+51−5−1+51−5−1−51+5−1−51+51−5−1+51+5−1−5000000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000000
χ1034-44-4-444-4-40000-444−1+5−1−51−51+5−1+51−5−1+51−5−1−51+5−1−51+51−5−1+51+5−1−5000000000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000
χ1044-44-4-444-4-40000-444−1−5−1+51+51−5−1−51+5−1−51+5−1+51−5−1+51−51+5−1−51−5−1+5000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000000000
χ1054-44-4-444-4-40000-444−1−5−1+51+51−5−1−51+5−1−51+5−1+51−5−1+51−51+5−1−51−5−1+5000000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000000000
χ1064-4-44-44-4440000-44-4−1+5−1−51−51+51−5−1+51−5−1+51+5−1−51+5−1−51−5−1+51+5−1−500000000000000−1+51−51−5−1+5−1−51+51+5−1−5004i−4i000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000
χ1074-4-44-44-4440000-44-4−1+5−1−51−51+51−5−1+51−5−1+51+5−1−51+5−1−51−5−1+51+5−1−500000000000000−1+51−51−5−1+5−1−51+51+5−1−500−4i4i0000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000
χ1084-4-44-44-4440000-44-4−1−5−1+51+51−51+5−1−51+5−1−51−5−1+51−5−1+51+5−1−51−5−1+500000000000000−1−51+51+5−1−5−1+51−51−5−1+5004i−4i000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000
χ1094-4-44-44-4440000-44-4−1−5−1+51+51−51+5−1−51+5−1−51−5−1+51−5−1+51+5−1−51−5−1+500000000000000−1−51+51+5−1−5−1+51−51−5−1+500−4i4i0000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000
χ1104-4-44-44-44-400004-4444-4-4-44-44-44-44-44-4400000000000000-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-44-44-44-400004-44−1+5−1−51−51+51−5−1+51−5−1+51+5−1−51+5−1−51−5−1+51+5−1−5000000000000001−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000
χ1124-4-44-44-44-400004-44−1+5−1−51−51+51−5−1+51−5−1+51+5−1−51+5−1−51−5−1+51+5−1−5000000000000001−5−1+5−1+51−51+5−1−5−1−51+500000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000
χ1134-4-44-44-44-400004-44−1−5−1+51+51−51+5−1−51+5−1−51−5−1+51−5−1+51+5−1−51−5−1+5000000000000001+5−1−5−1−51+51−5−1+5−1+51−500000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000
χ1144-4-44-44-44-400004-44−1−5−1+51+51−51+5−1−51+5−1−51−5−1+51−5−1+51+5−1−51−5−1+5000000000000001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000
χ1154-4-4-44-44404-4-4400044-4-4-4-444-4-4444-44-40000004-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-44-44404-4-44000−1+5−1−51−51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+51−5−1−51+5000000−1+51−51−5−1+5−1−51+51+5−1−500000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000−2ζ22+2ζ382ζ22−2ζ38002ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000000000000000
χ1174-4-4-44-44404-4-44000−1+5−1−51−51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+51−5−1−51+5000000−1+51−51−5−1+5−1−51+51+5−1−5000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000002ζ22−2ζ38−2ζ22+2ζ3800−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000000000000000
χ1184-4-4-44-44404-4-44000−1−5−1+51+51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+5−1+51−5000000−1−51+51+5−1−5−1+51−51−5−1+5000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000002ζ6−2ζ14−2ζ6+2ζ14002ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000000000000000
χ1194-4-4-44-44404-4-44000−1−5−1+51+51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+5−1+51−5000000−1−51+51+5−1−5−1+51−51−5−1+500000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000−2ζ6+2ζ142ζ6−2ζ1400−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000000000000000
χ1204-4-4-44-4440-444-400044-4-4-4-444-4-4444-44-4000000-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1214-4-4-44-4440-444-4000−1+5−1−51−51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+51−5−1−51+50000001−5−1+5−1+51−51+5−1−5−1−51+500000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000002ζ22−2ζ38−2ζ22+2ζ3800−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000000000000000
χ1224-4-4-44-4440-444-4000−1+5−1−51−51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+51−5−1−51+50000001−5−1+5−1+51−51+5−1−5−1−51+5000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000−2ζ22+2ζ382ζ22−2ζ38002ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000000000000000
χ1234-4-4-44-4440-444-4000−1−5−1+51+51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+5−1+51−50000001+5−1−5−1−51+51−5−1+5−1+51−5000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000−2ζ6+2ζ142ζ6−2ζ1400−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000000000000000
χ1244-4-4-44-4440-444-4000−1−5−1+51+51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+5−1+51−50000001+5−1−5−1−51+51−5−1+5−1+51−500000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000002ζ6−2ζ14−2ζ6+2ζ14002ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000000000000000
χ125888-8-8-8-8800000000−2+25−2−25−2+25−2−25−2+252−252−25−2+25−2−252+252+25−2−252−252−252+252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ126888-8-8-8-8800000000−2−25−2+25−2−25−2+25−2−252+252+25−2−25−2+252−252−25−2+252+252+252−252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-88-8-88-800000000−2+25−2−25−2+25−2−252−25−2+25−2+252−252+25−2−25−2−252+252−252−252+252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-88-8-88-800000000−2−25−2+25−2−25−2+252+25−2−25−2−252+252−25−2+25−2+252−252+252+252−252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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