Finite Group Databasebeta

← Group #12150313

Character table — Group #12150313

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size11112222222222222222444444444444444444444448888888888888888888888888888161616161616161616161616161616161616202020202020202040404040404040408080
order1222224444445510101010101044410101010202020202020202020202020202020202244444420202020202020202020202020202020202020208810101010202020204040404040404040888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ61111111111111111111111111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1
χ9111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11-11-1
χ10111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-11-11
χ11111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-11
χ12111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-1
χ13111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-1111-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111111-1-111-1-111-1-1-11-11
χ14111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-1111-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111-11-1
χ15111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-111-111-1
χ16111111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11-1-11
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+52−1−5222-2-222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+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+52−1−52-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521+521−521+52−1+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+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+5222-2-222-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000000000
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+52-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ2522222222-2-2-2-2222222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000002i2i−2i−2i00002i−2i00000000
χ2622222222-2-2-2-2222222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000−2i−2i2i2i0000−2i2i00000000
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+52−1−522-2222-2-2-21−521−521+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+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−522-2-2-22-2221−521−521+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+52−1+52−1−521−521+521−521−521+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+52−1−52-2222-22-2-21−521−521+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+52−1+52−1−521−521−521+521+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+52−1−52-22-2-2-22221−521−521+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+52−1−521−521+52−1+52−1−52−1+52−1+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+522-2222-2-2-21+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+521+521−52−1−52−1−52−1+52−1+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+522-2-2-22-2221+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+521−52−1−52−1+521+521−521+521+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+52-2222-22-2-21+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+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+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+52-22-2-2-22221+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+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ35222222-2-2-2-2-2-222222222-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000002i2i−2i−2i0000−2i2i00000000
χ36222222-2-2-2-2-2-222222222-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000000000000000000000−2i−2i2i2i00002i−2i00000000
χ372222-2-2222-22-222222222-22-2-2-2-2-222-2-222-2-22-2-22-2-2222200-2-2002-22-20000000000000000002222-2-2-2-200000000000000000000000000
χ382222-2-2222-22-222222222-22-2-2-2-2-222-2-222-2-22-2-22-2-222-2-20022002-22-2000000000000000000-2-2-2-2222200000000000000000000000000
χ392222-2-2222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+52−1+52−1−522200-2-200−1+521−52−1−521+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+52−1−52−1+52−1−521−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ402222-2-2222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+52−1+52−1−522200-2-200−1+521−52−1−521+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+52−1−52−1+52−1−521−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ412222-2-2222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52-2-2002200−1+521−52−1−521+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+521−521+52−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ422222-2-2222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52-2-2002200−1+521−52−1−521+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+521−521+52−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−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+52-22-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−52−1−52−1+522200-2-200−1−521+52−1+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+52−1−52−1+521+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−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+52-22-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−52−1−52−1+522200-2-200−1−521+52−1+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+52−1−52−1+521+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−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+52-22-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52-2-2002200−1−521+52−1+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+521−521+521−52−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−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+52-22-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52-2-2002200−1−521+52−1+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+521−521+521−52−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ472222-2-222-22-2222222222-2-22-2-2-2-222-2-222-2-2-222-222-2-200000000-22-22000000000000000000000000000000000000002222000000-2-200
χ482222-2-222-22-2222222222-2-22-2-2-2-222-2-222-2-2-222-222-2-200000000-22-2200000000000000000000000000000000000000-2-2-2-20000002200
χ492222-2-2-2-22-22-2222222222-22-2-2-2-2-2-222-2-2222-2-22-2-2222-200-2200-22-2200000000000000000022-2-2-2-22200000000000000000000000000
χ502222-2-2-2-22-22-2222222222-22-2-2-2-2-2-222-2-2222-2-22-2-222-22002-200-22-22000000000000000000-2-22222-2-200000000000000000000000000
χ512222-2-2-2-22-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1−522-200-22001−52−1+521+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+52−1−521−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−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+52−1−522-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1−522-200-22001−52−1+521+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+52−1−521−521+521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−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+52−1−522-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1−52-22002-2001−52−1+521+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+52−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−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+52−1−522-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1−52-22002-2001−52−1+521+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+52−1+52−1−52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−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+522-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1+522-200-22001+52−1−521−52−1+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+521+521−521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−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+522-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1+522-200-22001+52−1−521−52−1+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+521+521−521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−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+522-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1+52-22002-2001+52−1−521−52−1+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+521−52−1−52−1+52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−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+522-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1+52-22002-2001+52−1−521−52−1+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+521−52−1−52−1+52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ592222-2-2-2-2-22-222222222222-2-2-2-2-2-2-222-2-222-222-222-2-2000000002-22-20000000000000000000000000000000000000022-2-2000000-2200
χ602222-2-2-2-2-22-222222222222-2-2-2-2-2-2-222-2-222-222-222-2-2000000002-22-200000000000000000000000000000000000000-2-2220000002-200
χ612-2-222-20022-2-222-2-2-2-2220002-22-20000000022-222-2-2-2002i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000002i−2i2i−2i0000002-2000000
χ622-2-222-20022-2-222-2-2-2-2220002-22-20000000022-222-2-2-2002i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000−2i2i−2i2i000000-22000000
χ632-2-222-20022-2-222-2-2-2-2220002-22-20000000022-222-2-2-200−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000002i−2i2i−2i000000-22000000
χ642-2-222-20022-2-222-2-2-2-2220002-22-20000000022-222-2-2-200−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000−2i2i−2i2i0000002-2000000
χ652-2-222-200-2-22222-2-2-2-2220002-22-200000000-2-22-2-22220000002-20000000000002-22-22-22-20000000000000000002-2-22000000002-20000
χ662-2-222-200-2-22222-2-2-2-2220002-22-200000000-2-22-2-22220000002-20000000000002-22-22-22-2000000000000000000-222-200000000-220000
χ672-2-222-200-2-22222-2-2-2-2220002-22-200000000-2-22-2-2222000000-22000000000000-22-22-22-220000000000000000002-2-2200000000-220000
χ682-2-222-200-2-22222-2-2-2-2220002-22-200000000-2-22-2-2222000000-22000000000000-22-22-22-22000000000000000000-222-2000000002-20000
χ6944444444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-4-4−1+5−1+5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51−51+51+51+51−51+5000000001−51−51+51+50000000000000000000000000000000000000000000000000000
χ7044444444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-4-4−1−5−1−5−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51+51−51−51−51+51−5000000001+51+51−51−50000000000000000000000000000000000000000000000000000
χ71444444-4-4-4-4-4-4−1+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+500000000−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000000000
χ72444444-4-4-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-444−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−51+51+51+51−51−51−51+51−500000000−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000
χ734444-4-444-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-441−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+51−5−1+5−1+51+5−1−5−1−51−51+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+5-4-441+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−51+5−1−5−1−51−5−1+5−1+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+5−1−544-41−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−51−5−1+5−1+51+5−1−5−1−51−51+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+544-41+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+51+5−1−5−1−51−5−1+5−1+51+51−500000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
χ7744-4-4004-400004444-4-4-4-400000004-4004-400000000000000000000000000000000000000000000000000000000000022−2222−220000000000
χ7844-4-4004-400004444-4-4-4-400000004-4004-4000000000000000000000000000000000000000000000000000000000000−2222−22220000000000
χ7944-4-400-4400004444-4-4-4-40000000-4400-4400000000000000000000000000000000000000000000000000000000000022−22−22220000000000
χ8044-4-400-4400004444-4-4-4-40000000-4400-44000000000000000000000000000000000000000000000000000000000000−222222−220000000000
χ814-4-444-40044-4-4−1+5−1−51−51+51−51+5−1+5−1−5000−1+51−5−1−51+500000000−1+5−1+51−5−1−5−1−51+51−51+5004i−4i00000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000000000
χ824-4-444-40044-4-4−1+5−1−51−51+51−51+5−1+5−1−5000−1+51−5−1−51+500000000−1+5−1+51−5−1−5−1−51+51−51+500−4i4i000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000000000
χ834-4-444-40044-4-4−1−5−1+51+51−51+51−5−1−5−1+5000−1−51+5−1+51−500000000−1−5−1−51+5−1+5−1+51−51+51−5004i−4i00000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000
χ844-4-444-40044-4-4−1−5−1+51+51−51+51−5−1−5−1+5000−1−51+5−1+51−500000000−1−5−1−51+5−1+5−1+51−51+51−500−4i4i000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000
χ854-4-444-400-4-444−1+5−1−51−51+51−51+5−1+5−1−5000−1+51−5−1−51+5000000001−51−5−1+51+51+5−1−5−1+5−1−50000004-4000000000000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000
χ864-4-444-400-4-444−1+5−1−51−51+51−51+5−1+5−1−5000−1+51−5−1−51+5000000001−51−5−1+51+51+5−1−5−1+5−1−5000000-440000000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000
χ874-4-444-400-4-444−1−5−1+51+51−51+51−5−1−5−1+5000−1−51+5−1+51−5000000001+51+5−1−51−51−5−1+5−1−5−1+50000004-4000000000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000
χ884-4-444-400-4-444−1−5−1+51+51−51+51−5−1−5−1+5000−1−51+5−1+51−5000000001+51+5−1−51−51−5−1+5−1−5−1+5000000-440000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000
χ894-4-44-44004-4-4444-4-4-4-444000-44-44000000004-444-44-4-40000000000000000000000000000000000000000000000000000000000000000
χ904-4-44-44004-4-44−1+5−1−51−51+51−51+5−1+5−1−50001−5−1+51+5−1−500000000−1+51−5−1+5−1−51+5−1−51−51+5000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000000
χ914-4-44-44004-4-44−1+5−1−51−51+51−51+5−1+5−1−50001−5−1+51+5−1−500000000−1+51−5−1+5−1−51+5−1−51−51+50000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000
χ924-4-44-44004-4-44−1−5−1+51+51−51+51−5−1−5−1+50001+5−1−51−5−1+500000000−1−51+5−1−5−1+51−5−1+51+51−50000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000000000
χ934-4-44-44004-4-44−1−5−1+51+51−51+51−5−1−5−1+50001+5−1−51−5−1+500000000−1−51+5−1−5−1+51−5−1+51+51−5000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000000000
χ944-4-44-4400-444-444-4-4-4-444000-44-4400000000-44-4-44-4440000000000000000000000000000000000000000000000000000000000000000
χ954-4-44-4400-444-4−1+5−1−51−51+51−51+5−1+5−1−50001−5−1+51+5−1−5000000001−5−1+51−51+5−1−51+5−1+5−1−5000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000
χ964-4-44-4400-444-4−1+5−1−51−51+51−51+5−1+5−1−50001−5−1+51+5−1−5000000001−5−1+51−51+5−1−51+5−1+5−1−500000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000
χ974-4-44-4400-444-4−1−5−1+51+51−51+51−5−1−5−1+50001+5−1−51−5−1+5000000001+5−1−51+51−5−1+51−5−1−5−1+500000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000
χ984-4-44-4400-444-4−1−5−1+51+51−51+51−5−1−5−1+50001+5−1−51−5−1+5000000001+5−1−51+51−5−1+51−5−1−5−1+5000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000
χ9988-8-8008-80000−2+25−2−25−2+25−2−252−252+252−252+250000000−2+252−2500−2−252+2500000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8008-80000−2−25−2+25−2−25−2+252+252−252+252−250000000−2−252+2500−2+252−2500000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-800-880000−2+25−2−25−2+25−2−252−252+252−252+2500000002−25−2+25002+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-800-880000−2−25−2+25−2−25−2+252+252−252+252−2500000002+25−2−25002−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-80000000088-8-888-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-800000000−2+25−2−252−252+25−2+25−2−252−252+25000000000−4ζ22+4ζ384ζ22−4ζ38004ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-800000000−2+25−2−252−252+25−2+25−2−252−252+250000000004ζ22−4ζ38−4ζ22+4ζ3800−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800000000−2−25−2+252+252−25−2−25−2+252+252−250000000004ζ6−4ζ14−4ζ6+4ζ14004ζ22−4ζ38−4ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800000000−2−25−2+252+252−25−2−25−2+252+252−25000000000−4ζ6+4ζ144ζ6−4ζ1400−4ζ22+4ζ384ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000

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