Finite Group Databasebeta

← Group #12140758

Character table — Group #12140758

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size1111222222222222222244444444444444444444444444488888888888888888888881616161616161616161616161616161616161616202020204040404040404040404040404040
order1222224444445510101010101044444441010101020202020202020202020202020202020241010101020202020202020202020202020202020448820202020202020204040404040404040888822448888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ4111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ51111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ71111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1
χ81111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111
χ9111111-1-1111111111111-1-111-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-111-1-1
χ10111111-1-1111111111111-1-111-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-1-111
χ11111111-1-1111111111111-1-111-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1111-111-1-1
χ12111111-1-1111111111111-1-111-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11-1-111
χ13111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-111
χ14111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1111-1-1
χ15111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-11-1-1-111
χ16111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1111-1-1
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+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+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-22-2-2−1+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+52−1−52−1−52−1+52−1−52-2-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-22-2-2−1+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+52−1−52−1−52−1+52−1−52-2-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ21222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+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+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ23222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ24222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ2522222222-2-2-2-222222222-2-2002002222-2-2-2-2-2-2-2-2-2-22222-2-2000000-2-20000000022000000000000000000000000000000000000002i−2i2i−2i
χ2622222222-2-2-2-222222222-2-2002002222-2-2-2-2-2-2-2-2-2-22222-2-2000000-2-2000000002200000000000000000000000000000000000000−2i2i−2i2i
χ27222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-222−1+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+52−1−52-2-21−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ28222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-222−1+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+52−1−52-2-21−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52-2-2-2-2-2-2-2−1+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+52−1−5222−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ30222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2−1+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+52−1−5222−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52-222-21−521−521+521+52−1+52−1+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+52-2-222-222−1−52−1−52−1+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+52-2-21+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ32222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-222−1−52−1−52−1+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+52-2-21+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+52-22-221+521+521−521−52−1−52−1−52−1+52−1+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+52-2-2-2-2-2-2-2−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ34222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ35222222-2-2-2-2-2-2222222222200-2002222-2-2-2-2-2-22222-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000000000002i−2i−2i2i
χ36222222-2-2-2-2-2-2222222222200-2002222-2-2-2-2-2-22222-2-2-2-2-2-20000002200000000-2-200000000000000000000000000000000000000−2i2i2i−2i
χ372222-2-22222-2-2222222222-222-2-2-2-2-2-2-22-2-22-2-2-2-2-2-2222222-22-2-2-2-22222222222-2-2-2-2-2-200000000000000000000000000000000000000
χ382222-2-22222-2-2222222222-2-2-2-222-2-2-2-22-2-22-2-2-2-2-2-22222222-2222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000
χ392222-2-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-2-21−521−521+521+52−1+521−521−52−1−521+521+521−521−521+521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ402222-2-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-2-21−521−521+521+52−1+521−521−52−1−521+521+521−521−521+521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ412222-2-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2221−521−521+521+52−1+521−521−52−1−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ422222-2-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2221−521−521+521+52−1+521−521−52−1−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ432222-2-22222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-2-21+521+521−521−52−1−521+521+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ442222-2-22222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-2-21+521+521−521−52−1−521+521+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ452222-2-22222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2221+521+521−521−52−1−521+521+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ462222-2-22222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2221+521+521−521−52−1−521+521+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ472222-2-222-2-22222222222-2200-200-2-2-2-2-222-22222222222-2-2000000-2-200000000-2-2000000000000000000000000222200000000-2-20000
χ482222-2-222-2-22222222222-2200-200-2-2-2-2-222-22222222222-2-2000000-2-200000000-2-2000000000000000000000000-2-2-2-200000000220000
χ492222-2-2-2-222-2-222222222-22222-2-2-2-2-2-22-2-22-2-22222-2-2-2-2222-22222-2-22222-2-2-2-222-2-2-2-200000000000000000000000000000000000000
χ502222-2-2-2-222-2-222222222-22-2-2222-2-2-2-22-2-22-2-22222-2-2-2-222-22-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000000000
χ512222-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22222-2-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ522222-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22222-2-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ532222-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-22221−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52-221−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ542222-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-22221−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52-221−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ552222-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22222-2-21+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ562222-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22222-2-21+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ572222-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-22221+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52-221+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+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ582222-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-22221+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52-221+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+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ592222-2-2-2-2-2-222222222222-200200-2-2-2-2-222-222-2-2-2-2-2-2-2-2-2-200000022000000002200000000000000000000000022-2-200000000-220000
χ602222-2-2-2-2-2-222222222222-200200-2-2-2-2-222-222-2-2-2-2-2-2-2-2-2-2000000220000000022000000000000000000000000-2-222000000002-20000
χ6122-2-22-200-222-2222-22-2-2-2002i−2i02i−2i2-22-2-22-2-22-20000000022000000002i−2i2i−2i0000002i−2i2i−2i000000000000000000000000002i−2i002-2000000
χ6222-2-22-200-222-2222-22-2-2-2002i−2i02i−2i2-22-2-22-2-22-20000000022000000002i−2i2i−2i0000002i−2i2i−2i00000000000000000000000000−2i2i00-22000000
χ6322-2-22-200-222-2222-22-2-2-200−2i2i0−2i2i2-22-2-22-2-22-2000000002200000000−2i2i−2i2i000000−2i2i−2i2i000000000000000000000000002i−2i00-22000000
χ6422-2-22-200-222-2222-22-2-2-200−2i2i0−2i2i2-22-2-22-2-22-2000000002200000000−2i2i−2i2i000000−2i2i−2i2i00000000000000000000000000−2i2i002-2000000
χ6522-2-2-2200-22-22222-22-2-2-2002i−2i0−2i2i-22-22-2-22-2-220000000022000000002i−2i2i−2i000000−2i2i−2i2i0000000000000000000000002-2002i−2i00000000
χ6622-2-2-2200-22-22222-22-2-2-2002i−2i0−2i2i-22-22-2-22-2-220000000022000000002i−2i2i−2i000000−2i2i−2i2i000000000000000000000000-2200−2i2i00000000
χ6722-2-2-2200-22-22222-22-2-2-200−2i2i02i−2i-22-22-2-22-2-22000000002200000000−2i2i−2i2i0000002i−2i2i−2i0000000000000000000000002-200−2i2i00000000
χ6822-2-2-2200-22-22222-22-2-2-200−2i2i02i−2i-22-22-2-22-2-22000000002200000000−2i2i−2i2i0000002i−2i2i−2i000000000000000000000000-22002i−2i00000000
χ6944444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-400400−1+5−1+5−1−5−1−51−51−51−51+51+51+51−51−51+51+5−1+5−1+5−1−5−1−51−51+50000001−51+500000000−1+5−1−5000000000000000000000000000000000000000000
χ7044444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-400400−1−5−1−5−1+5−1+51+51+51+51−51−51−51+51+51−51−5−1−5−1−5−1+5−1+51+51−50000001+51−500000000−1−5−1+5000000000000000000000000000000000000000000
χ71444444-4-4-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54400-400−1+5−1+5−1−5−1−51−51−51−51+51+51+5−1+5−1+5−1−5−1−51−51−51+51+51−51+5000000−1+5−1−5000000001−51+5000000000000000000000000000000000000000000
χ72444444-4-4-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54400-400−1−5−1−5−1+5−1+51+51+51+51−51−51−5−1−5−1−5−1+5−1+51+51+51−51−51+51−5000000−1−5−1+5000000001+51−5000000000000000000000000000000000000000000
χ734444-4-444-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4400-4001−51−51+51+51−5−1+5−1+51+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51+50000001−51+5000000001−51+5000000000000000000000000000000000000000000
χ744444-4-444-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4400-4001+51+51−51−51+5−1−5−1−51−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51−50000001+51−5000000001+51−5000000000000000000000000000000000000000000
χ754444-4-4-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-4004001−51−51+51+51−5−1+5−1+51+5−1−5−1−51−51−51+51+51−51−51+51+51−51+5000000−1+5−1−500000000−1+5−1−5000000000000000000000000000000000000000000
χ764444-4-4-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-4004001+51+51−51−51+5−1−5−1−51−5−1+5−1+51+51+51−51−51+51+51−51−51+51−5000000−1−5−1+500000000−1−5−1+5000000000000000000000000000000000000000000
χ7744-4-44-4004-4-44444-44-4-4-400000004-44-44-444-4400000000-4-4000000000000000000000000000000000000000000000000000000000000
χ7844-4-44-4004-4-44−1+5−1−5−1+51−5−1−51+51−51+50000000−1+51−5−1−51+5−1+51−5−1+5−1−51+5−1−5000000001−51+5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
χ7944-4-44-4004-4-44−1+5−1−5−1+51−5−1−51+51−51+50000000−1+51−5−1−51+5−1+51−5−1+5−1−51+5−1−5000000001−51+500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ8044-4-44-4004-4-44−1−5−1+5−1−51+5−1+51−51+51−50000000−1−51+5−1+51−5−1−51+5−1−5−1+51−5−1+5000000001+51−500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
χ8144-4-44-4004-4-44−1−5−1+5−1−51+5−1+51−51+51−50000000−1−51+5−1+51−5−1−51+5−1−5−1+51−5−1+5000000001+51−5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000
χ8244-4-44-400-444-4−1+5−1−5−1+51−5−1−51+51−51+5004i−4i04i−4i−1+51−5−1−51+51−5−1+51−51+5−1−51+500000000−1+5−1−500000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000
χ8344-4-44-400-444-4−1+5−1−5−1+51−5−1−51+51−51+500−4i4i0−4i4i−1+51−5−1−51+51−5−1+51−51+5−1−51+500000000−1+5−1−5000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000
χ8444-4-44-400-444-4−1−5−1+5−1−51+5−1+51−51+51−5004i−4i04i−4i−1−51+5−1+51−51+5−1−51+51−5−1+51−500000000−1−5−1+500000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000
χ8544-4-44-400-444-4−1−5−1+5−1−51+5−1+51−51+51−500−4i4i0−4i4i−1−51+5−1+51−51+5−1−51+51−5−1+51−500000000−1−5−1+5000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000
χ8644-4-4-44004-44-4444-44-4-4-40000000-44-4444-444-400000000-4-4000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-44004-44-4−1+5−1−5−1+51−5−1−51+51−51+500000001−5−1+51+5−1−5−1+5−1+51−5−1−5−1−51+5000000001−51+5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ8844-4-4-44004-44-4−1+5−1−5−1+51−5−1−51+51−51+500000001−5−1+51+5−1−5−1+5−1+51−5−1−5−1−51+5000000001−51+500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
χ8944-4-4-44004-44-4−1−5−1+5−1−51+5−1+51−51+51−500000001+5−1−51−5−1+5−1−5−1−51+5−1+5−1+51−5000000001+51−500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000
χ9044-4-4-44004-44-4−1−5−1+5−1−51+5−1+51−51+51−500000001+5−1−51−5−1+5−1−5−1−51+5−1+5−1+51−5000000001+51−5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
χ9144-4-4-4400-44-44−1+5−1−5−1+51−5−1−51+51−51+5004i−4i0−4i4i1−5−1+51+5−1−51−51−5−1+51+51+5−1−500000000−1+5−1−500000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000
χ9244-4-4-4400-44-44−1+5−1−5−1+51−5−1−51+51−51+500−4i4i04i−4i1−5−1+51+5−1−51−51−5−1+51+51+5−1−500000000−1+5−1−5000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000
χ9344-4-4-4400-44-44−1−5−1+5−1−51+5−1+51−51+51−5004i−4i0−4i4i1+5−1−51−5−1+51+51+5−1−51−51−5−1+500000000−1−5−1+500000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000
χ9444-4-4-4400-44-44−1−5−1+5−1−51+5−1+51−51+51−500−4i4i04i−4i1+5−1−51−5−1+51+51+5−1−51−51−5−1+500000000−1−5−1+5000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000
χ954-4-44004-4000044-4-4-4-4440000000000000000000004-44-40000000000000000000000000000000000000000000022−2222−2200000000000000
χ964-4-44004-4000044-4-4-4-4440000000000000000000004-44-400000000000000000000000000000000000000000000−2222−222200000000000000
χ974-4-4400-44000044-4-4-4-444000000000000000000000-44-440000000000000000000000000000000000000000000022−22−222200000000000000
χ984-4-4400-44000044-4-4-4-444000000000000000000000-44-4400000000000000000000000000000000000000000000−222222−2200000000000000
χ998-88-80000000088-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800000000−2+25−2−252−25−2+252+25−2−252−252+25000000000000000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ36000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ28000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-800000000−2−25−2+252+25−2−252−25−2+252+252−25000000000000000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88008-80000−2+25−2−252−252−252+252+25−2+25−2−25000000000000000000000−2+252−25−2−252+2500000000000000000000000000000000000000000000000000000000000000
χ1058-8-88008-80000−2−25−2+252+252+252−252−25−2−25−2+25000000000000000000000−2−252+25−2+252−2500000000000000000000000000000000000000000000000000000000000000
χ1068-8-8800-880000−2+25−2−252−252−252+252+25−2+25−2−250000000000000000000002−25−2+252+25−2−2500000000000000000000000000000000000000000000000000000000000000
χ1078-8-8800-880000−2−25−2+252+252+252−252−25−2−25−2+250000000000000000000002+25−2−252−25−2+2500000000000000000000000000000000000000000000000000000000000000

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