Finite Group Databasebeta

← Group #12008783

Character table — Group #12008783

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222222244444444448888888888888888888888881616161616161616161616161616161616161616161616162020202040404040404080808080
order1222225510101010101044444410101010444420202020202020202020202020202020202020208888202020204040404040404040404040404040404044442222448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ91111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i1111iiii−i−i−i−iiiii−i−i−i−i1111-1-111-1-1i−ii−i
χ101111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i1111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111-1-111−ii−ii
χ111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii1111−i−i−i−iiiii−i−i−i−iiiii1111-1-111-1-1−ii−ii
χ121111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii1111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111-1-111i−ii−i
χ131111111111111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1i−i−ii-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-111i−i−ii
χ141111111111111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1i−i−ii-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1−iii−i
χ151111111111111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1−iii−i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-111−iii−i
χ161111111111111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1−iii−i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1i−i−ii
χ1722222222222222-2-222-2-222220000-2-2-2-2000000002222-2-2-2-200000000000000000000000022-2-22-200000000
χ1822222222222222-2-222-2-222220000-2-2-2-2000000002222-2-2-2-2000000000000000000000000-2-222-2200000000
χ1922222222222222-2-2-2-22222220000-2-2-2-200000000-2-2-2-2222200000000000000000000000022-2-2-2200000000
χ2022222222222222-2-2-2-22222220000-2-2-2-200000000-2-2-2-22222000000000000000000000000-2-2222-200000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52-2-2-2-2−1+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+52−1−52−1−5222-2-21−521−521+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+5200000000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52-2-2-2-2−1+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+52−1−52−1−52-2-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ25222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+522i−2i2i−2i−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000
χ26222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52−2i2i−2i2i−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000
χ27222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+522i−2i−2i2i1−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000
χ28222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−2i2i2i−2i1−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+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+52−1−52−1−52−1+52−1+5200000000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+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+5222-2-21+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+521−521−5200000000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+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+52-2-2221+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+5200000000000000
χ33222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−522i−2i2i−2i−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
χ34222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−52−2i2i−2i2i−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ35222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−522i−2i−2i2i1+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ36222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−52−2i2i2i−2i1+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
χ3722-2-22-22222-2-2-2-22-22i−2i2i−2i-2-22200002-22-2000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000002-22i−2i0000
χ3822-2-22-22222-2-2-2-22-22i−2i2i−2i-2-22200002-22-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000-22−2i2i0000
χ3922-2-22-22222-2-2-2-22-2−2i2i−2i2i-2-22200002-22-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000002-2−2i2i0000
χ4022-2-22-22222-2-2-2-22-2−2i2i−2i2i-2-22200002-22-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000-222i−2i0000
χ4122-2-22-22222-2-2-2-2-222i−2i−2i2i-2-2222i−2i2-2-22-2222-2-222-2-22i−2i2i−2i−2i2i−2i2i00002i−2i2i−2i000000000000000000000000000000
χ4222-2-22-22222-2-2-2-2-222i−2i−2i2i-2-222−2i2i-22-22-22-2-222-2-2222i−2i2i−2i−2i2i−2i2i0000−2i2i−2i2i000000000000000000000000000000
χ4322-2-22-22222-2-2-2-2-22−2i2i2i−2i-2-2222i−2i-22-22-22-2-222-2-222−2i2i−2i2i2i−2i2i−2i00002i−2i2i−2i000000000000000000000000000000
χ4422-2-22-22222-2-2-2-2-22−2i2i2i−2i-2-222−2i2i2-2-22-2222-2-222-2-2−2i2i−2i2i2i−2i2i−2i0000−2i2i−2i2i000000000000000000000000000000
χ4522-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222i−2i−2i2i1−521+52−1+52−1−522i−2i2-21−52−1+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ2900000000000000
χ4622-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222i−2i−2i2i1−521+52−1+52−1−522i−2i2-21−52−1+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ2900000000000000
χ4722-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222i−2i−2i2i1−521+52−1+52−1−52−2i2i-221−52−1+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ2900000000000000
χ4822-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222i−2i−2i2i1−521+52−1+52−1−52−2i2i-221−52−1+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ2900000000000000
χ4922-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-22−2i2i2i−2i1−521+52−1+52−1−522i−2i-221−52−1+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ3900000000000000
χ5022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-22−2i2i2i−2i1−521+52−1+52−1−522i−2i-221−52−1+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ3900000000000000
χ5122-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-22−2i2i2i−2i1−521+52−1+52−1−52−2i2i2-21−52−1+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ3900000000000000
χ5222-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-22−2i2i2i−2i1−521+52−1+52−1−52−2i2i2-21−52−1+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ3900000000000000
χ5322-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222i−2i−2i2i1+521−52−1−52−1+522i−2i2-21+52−1−521−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ3700000000000000
χ5422-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222i−2i−2i2i1+521−52−1−52−1+522i−2i2-21+52−1−521−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ3700000000000000
χ5522-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222i−2i−2i2i1+521−52−1−52−1+52−2i2i-221+52−1−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ3700000000000000
χ5622-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222i−2i−2i2i1+521−52−1−52−1+52−2i2i-221+52−1−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ3700000000000000
χ5722-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-22−2i2i2i−2i1+521−52−1−52−1+522i−2i-221+52−1−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ2300000000000000
χ5822-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-22−2i2i2i−2i1+521−52−1−52−1+522i−2i-221+52−1−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ2300000000000000
χ5922-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-22−2i2i2i−2i1+521−52−1−52−1+52−2i2i2-21+52−1−521−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ2300000000000000
χ6022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-22−2i2i2i−2i1+521−52−1−52−1+52−2i2i2-21+52−1−521−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ2300000000000000
χ61444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-444-4-4−1+5−1−5−1+5−1−500001−51−51+51+500000000−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000
χ62444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4-4-444−1+5−1−5−1+5−1−500001−51−51+51+5000000001−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000
χ63444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-444-4-4−1−5−1+5−1−5−1+500001+51+51−51−500000000−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000
χ64444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4-4-444−1−5−1+5−1−5−1+500001+51+51−51−5000000001+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000
χ654444-4-444444444000000-4-4-4-4000000000000000000000000000000000000000000000000004-40000000000
χ664444-4-444444444000000-4-4-4-400000000000000000000000000000000000000000000000000-440000000000
χ6744-4-44-4−1+5−1−5−1+5−1−51−51−51+51+54-44i−4i4i−4i1−51+5−1+5−1−50000−1+51−5−1−51+500000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000
χ6844-4-44-4−1+5−1−5−1+5−1−51−51−51+51+54-4−4i4i−4i4i1−51+5−1+5−1−50000−1+51−5−1−51+5000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000
χ6944-4-44-4−1−5−1+5−1−5−1+51+51+51−51−54-44i−4i4i−4i1+51−5−1−5−1+50000−1−51+5−1+51−500000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000
χ7044-4-44-4−1−5−1+5−1−5−1+51+51+51−51−54-4−4i4i−4i4i1+51−5−1−5−1+50000−1−51+5−1+51−5000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000
χ7144-4-4-444444-4-4-4-400000044-4-40000000000000000000000000000000000000000000000004i−4i000000000000
χ7244-4-4-444444-4-4-4-400000044-4-4000000000000000000000000000000000000000000000000−4i4i000000000000
χ738888-8-8−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−250000002−252+252−252+2500000000000000000000000000000000000000000000000000000000000000
χ748888-8-8−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+250000002+252−252+252−2500000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-88−2+25−2−25−2+25−2−252−252−252+252+25000000−2+25−2−252−252+2500000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-88−2−25−2+25−2−25−2+252+252+252−252−25000000−2−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000000
χ778-88-80088-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000000000
χ788-88-800−2+25−2−252−252+25−2+252−25−2−252+25000000000000000000−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000000000
χ798-88-800−2+25−2−252−252+25−2+252−25−2−252+250000000000000000002ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000000000
χ808-88-800−2−25−2+252+252−25−2−252+25−2+252−250000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000000000
χ818-88-800−2−25−2+252+252−25−2−252+25−2+252−25000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000000000
χ828-8-880088-8-8-88-88000000000000000000000000000000000000000000000000000000000000000000000000
χ838-8-8800−2+25−2−252−252+252−25−2+252+25−2−25000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000000000
χ848-8-8800−2+25−2−252−252+252−25−2+252+25−2−250000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000000000
χ858-8-8800−2−25−2+252+252−252+25−2−252−25−2+250000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000000000
χ868-8-8800−2−25−2+252+252−252+25−2−252−25−2+25000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000000000

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