en.wikipedia.org/wiki/%C3%89cole_polytechnique

In this sentence, André-Marie Ampère is presented as one of the school's notable alumni. But École polytechnique's own historical article on Ampère says the opposite: it describes him as "one of its illustrious professors", states that "André-Marie Ampère did not go to school", and says he was appointed analysis tutor at École Polytechnique in 1804. That means Ampère was associated with the institution as a teacher, not as a student or graduate.

So the problem is not that Ampère lacked a connection to École polytechnique — he absolutely had one — but that the article places him in an alumni list, which is inaccurate.

Here Laurent Schwartz is included in a list of the school's notable alumni. But biographical sources indicate that Schwartz studied at the École normale supérieure, not at École polytechnique.

The ENS biography says he was admitted to the École normale supérieure in 1934 and later taught at École polytechnique from 1959 to 1980. École polytechnique's own CMAP history likewise identifies him as a "Professor of Mathematics" at the school. So Schwartz had a major institutional connection to Polytechnique as a professor and research leader, but not as an alumnus.

This sentence says Lozère station is in zone 4, but current official transit maps place Lozère in zone 5.

The official RATP RER B map shows the southern part of the line under Zone 5 and includes Lozère there. An official Île-de-France Mobilités fare-zone map also shows Lozère in Zone 5. So the zone listed here is outdated or incorrect.