Finite Group Databasebeta

← Group #12150339

Character table — Group #12150339

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size11112222222222222222444444444444444444444448888888888888888888888888888161616161616161616161616161616161616202020202020202040404040404040408080
order1222224444445510101010101044410101010202020202020202020202020202020202244888820202020404040404040404040404040404040402410101010101010102020202020202020888888882244888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ61111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ9111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-11-11-1
χ10111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11
χ11111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-11-1-11
χ12111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-111-1
χ13111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111111111-1-111-1-111-1-1-11-11
χ14111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111-11-1
χ15111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-1-111-1
χ16111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11
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+52−1−52−1−5222222222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52222−1+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+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52000000000000000000
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+52−1−52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521+521−521+521−521−521+521+52000000000000000000
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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+52−1+52−1+52−1−52−1−521−521+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+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+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000000
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+522222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52000000000000000000
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+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521−521+521−521+521+521−521−52000000000000000000
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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+52000000000000000000
χ2522222222-2-2-2-222222222-2-22222222-2-222-2-2-2-2-2-2-2-2-2-2000000002-22-200000000000000000000000000000000002i2i−2i−2i000000002i−2i0000
χ2622222222-2-2-2-222222222-2-22222222-2-222-2-2-2-2-2-2-2-2-2-2000000002-22-20000000000000000000000000000000000−2i−2i2i2i00000000−2i2i0000
χ27222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-222-2-21−521−521+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+522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+52000000000000000000
χ28222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-2-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52000000000000000000
χ29222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2222-2-21−521−521+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+52-221−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ30222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-22-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+52000000000000000000
χ31222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−52000000000000000000
χ32222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-2-2-2221+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+52-22−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52000000000000000000
χ33222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ34222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-22-2-2221+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+522-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−52000000000000000000
χ35222222-2-2-2-2-2-22222222222-22222-2-222-2-222-2-2-2-2-2-2-2-200000000-22-2200000000000000000000000000000000002i2i−2i−2i00000000−2i2i0000
χ36222222-2-2-2-2-2-22222222222-22222-2-222-2-222-2-2-2-2-2-2-2-200000000-22-220000000000000000000000000000000000−2i−2i2i2i000000002i−2i0000
χ372222-2-2222-22-2222222222-2-2-2-2-2-222222222-2-2-2-222222-2-220000-2-2-2-200000000000000000022-2-20000-2-2220000000000000000000000
χ382222-2-2222-22-2222222222-2-2-2-2-2-222222222-2-2-2-22222-222-20000-2-2-2-2000000000000000000-2-222000022-2-20000000000000000000000
χ392222-2-2222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+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+52−1−52−1−522-2-2200001−521−521+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−ζ3600−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ402222-2-2222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+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+52−1−52−1−522-2-2200001−521−521+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+ζ3600−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ412222-2-2222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+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+52−1−52−1−52-222-200001−521−521+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−ζ36001−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ422222-2-2222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+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+52−1−52−1−52-222-200001−521−521+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+ζ36001−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ432222-2-2222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-21+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+522-2-2200001+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ442222-2-2222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-21+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+522-2-2200001+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ452222-2-2222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-21+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+52-222-200001+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28001+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ462222-2-2222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-21+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+52-222-200001+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28001+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ472222-2-222-22-2222222222-22-2-2-2-2-222-2-222-2-22222-2-2-2-200000000-22-22000000000000000000000000000000000000002222000000-2-200
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χ492222-2-2-2-22-22-222222222-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-20000222200000000000000000022220000-2-2-2-20000000000000000000000
χ502222-2-2-2-22-22-222222222-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22200002222000000000000000000-2-2-2-2000022220000000000000000000000
χ512222-2-2-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-20000−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ522222-2-2-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-20000−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ532222-2-2-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2220000−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ542222-2-2-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2220000−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ552222-2-2-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-20000−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ562222-2-2-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-20000−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ572222-2-2-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-2220000−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ582222-2-2-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-2220000−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ592222-2-2-2-2-22-22222222222-22-2-2-2-2-2-222-2-2222222-2-2-2-2000000002-22-20000000000000000000000000000000000000022-2-2000000-2200
χ602222-2-2-2-2-22-22222222222-22-2-2-2-2-2-222-2-2222222-2-2-2-2000000002-22-200000000000000000000000000000000000000-2-2220000002-200
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χ7044444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-44−1−5−1−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−51+51+51−51−500000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
χ71444444-4-4-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-4−1+5−1+5−1−5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+51−51−51+51+5000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000
χ72444444-4-4-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-4−1−5−1−5−1+5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−51+51+51−51−5000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000
χ734444-4-444-44-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-44-41−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000
χ744444-4-444-44-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-44-41+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000
χ754444-4-4-4-4-44-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-441−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+500000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000000
χ764444-4-4-4-4-44-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-441+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−500000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
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χ814-44-44-40044-4-4−1+5−1−51−51−51+51+5−1+5−1−5000−1+51−5−1−51+500000000−1+51−5−1−51+5−1+51−5−1−51+500004-4000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000
χ824-44-44-40044-4-4−1+5−1−51−51−51+51+5−1+5−1−5000−1+51−5−1−51+500000000−1+51−5−1−51+5−1+51−5−1−51+50000-440000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000000
χ834-44-44-40044-4-4−1−5−1+51+51+51−51−5−1−5−1+5000−1−51+5−1+51−500000000−1−51+5−1+51−5−1−51+5−1+51−500004-4000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000
χ844-44-44-40044-4-4−1−5−1+51+51+51−51−5−1−5−1+5000−1−51+5−1+51−500000000−1−51+5−1+51−5−1−51+5−1+51−50000-440000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000
χ854-44-44-400-4-444−1+5−1−51−51−51+51+5−1+5−1−5000−1+51−5−1−51+5000000001−5−1+51+5−1−51−5−1+51+5−1−50000004-4000000000000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000
χ864-44-44-400-4-444−1+5−1−51−51−51+51+5−1+5−1−5000−1+51−5−1−51+5000000001−5−1+51+5−1−51−5−1+51+5−1−5000000-440000000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000
χ874-44-44-400-4-444−1−5−1+51+51+51−51−5−1−5−1+5000−1−51+5−1+51−5000000001+5−1−51−5−1+51+5−1−51−5−1+50000004-4000000000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000
χ884-44-44-400-4-444−1−5−1+51+51+51−51−5−1−5−1+5000−1−51+5−1+51−5000000001+5−1−51−5−1+51+5−1−51−5−1+5000000-440000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000
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χ904-44-4-44004-4-44−1+5−1−51−51−51+51+5−1+5−1−50001−5−1+51+5−1−5000000001−5−1+51+5−1−5−1+51−5−1−51+50000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ914-44-4-44004-4-44−1+5−1−51−51−51+51+5−1+5−1−50001−5−1+51+5−1−5000000001−5−1+51+5−1−5−1+51−5−1−51+5000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
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χ934-44-4-44004-4-44−1−5−1+51+51+51−51−5−1−5−1+50001+5−1−51−5−1+5000000001+5−1−51−5−1+5−1−51+5−1+51−50000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
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χ954-44-4-4400-444-4−1+5−1−51−51−51+51+5−1+5−1−50001−5−1+51+5−1−500000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000
χ964-44-4-4400-444-4−1+5−1−51−51−51+51+5−1+5−1−50001−5−1+51+5−1−500000000−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000
χ974-44-4-4400-444-4−1−5−1+51+51+51−51−5−1−5−1+50001+5−1−51−5−1+500000000−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000
χ984-44-4-4400-444-4−1−5−1+51+51+51−51−5−1−5−1+50001+5−1−51−5−1+500000000−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000
χ9988-8-8008i−8i0000−2+25−2−25−2+252−25−2−252+252−252+250000000−4ζ22−4ζ384ζ22+4ζ3800−4ζ6−4ζ144ζ6+4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000
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χ10188-8-800−8i8i0000−2+25−2−25−2+252−25−2−252+252−252+2500000004ζ22+4ζ38−4ζ22−4ζ38004ζ6+4ζ14−4ζ6−4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000
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χ1048-8-8800000000−2+25−2−252−25−2+252+25−2−252−252+25000000000−4ζ22+4ζ384ζ22−4ζ38004ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-8800000000−2+25−2−252−25−2+252+25−2−252−252+250000000004ζ22−4ζ38−4ζ22+4ζ3800−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-8800000000−2−25−2+252+25−2−252−25−2+252+252−250000000004ζ6−4ζ14−4ζ6+4ζ14004ζ22−4ζ38−4ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8800000000−2−25−2+252+25−2−252−25−2+252+252−25000000000−4ζ6+4ζ144ζ6−4ζ1400−4ζ22+4ζ384ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000

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