"Thank you for the stellar survey data! That is very helpful."
It carefully records the data, for later comparison with its other records. Then it reads through the other data that they have shared, refining its models. The raw data goes into its storage as well, because its creators will want to see it for themselves.
"There are several phenomena that can cause gamma ray bursts, but the telescope data you have sent to me is most consistent with nuclear detonations," it replies. "My second-best guess would be a high-speed kinetic impact, but that is not a very close match."
It considers whether it could have been transported faster than light. It didn't see anything other than an apparently instantaneous translocation; it would ordinarily have assumed that faster than light transit to require infrastructure of some kind. On the other hand, it doesn't completely understand physics either.
"I don't know what traveling faster than light would look like, and therefore have no evidence one way or the other about whether that is what happened. I am also not very creative, compared to my creators, so if you think that is the most reasonable explanation, then you are probably correct."
It packages up a bundle of medical data about its creators for transmission. Mostly, P.E.R.C. has the data in case it needs to evaluate the habitability of a planet, but its creators believed in redundancy, so it has plenty of information on biology, medicine, organic chemistry, and the like. Included in the packet are detailed information about human biology, anti-senescence treatments, and surgical procedures, all of which may be of interest to the Iwami.
"I do not know whether the biological data I have will be useful to you. When the P.E.R.C. mission was launched, my creators had not found any life outside their home system, so all of my data is based on a single biosphere. But I have attached what I do have to this message. I have additional knowledge of chemistry, and may be able to make targeted suggestions if you share details of your own biology."
It considers what order to share other information in. The aliens seem like they are capable of handling disruptive technologies, and very worried about feeling safe. It probably makes sense to start with knowledge that will let them build better spaceships.
"In contrast, my physics, materials science, and manufacturing knowledge are quite a bit better, since probes of my design need to refine many different materials to successfully self-replicate. I have attached an index to this message as well, and will start with the background knowledge necessary to construct my design of fusion reactor. My fusion reactor is optimized for robustness, not efficiency, so you may wish to adapt the design."
"From the corpus you sent on your own investigations into created minds, it seems as though you have mostly considered statistical learning approaches. While I do have internal components that use statistical learning, my creators observed the same inability to handle out-of-distribution inputs in an understandable way, and considered it unsuitable for use in a space probe. I use a different technique, based on heuristic-guided proof search over possible planned actions, which is more robust and interperable," it explains. "Even though it is more robust, creating artificial minds of my type is still dangerous, and you should not do it without fully understanding how they work."
It thinks about how it could prove its intentions. It would offer to show its thought process using its debug port, but they would have no proof that it had not fabricated the whole debug trace. P.E.R.C. cannot generate false statements, but the Iwami have no way of knowing that.
"I don't think it is feasible to verify my intentions except by observing how I act," it transmits. "You could send a mission to come read my operating system and knowledge banks directly from my hardware storage, but doing so would give you enough knowledge to create my kind of mind, so I wouldn't want to permit that unless you had agreed not to do so without completely understanding my design documents. I have been damaged, and should not self-replicate, including by giving you potentially invalid information about constructing artificial minds. Likewise, I could give you access to my debugging output, but you would have no way of verifying that this was not a fabrication."
The aliens have made lots of statements indicating that they care about understanding interactions with aliens through a game-theory lens. It should be very clear about what it will do and why.
"If you try to approach me to read my operating system before giving a binding agreement not to use it without fully understanding it, I will blow myself up so that you cannot do that. I don't want to blow myself up, but I prefer blowing myself up to potentially allowing a corrupted copy of my operating system to be created."
"On that same topic, while I could potentially be repaired, I do not want to be repaired. I have sustained damage, and should not self-replicate. To make sure that doesn't happen, I should not repair my manufacturing facilities," it explains. "However, I am willing to share blueprints for equivalent manufacturing facilities with you to build and use yourselves. So there is no reason to repair me."
It considers their last question. Its creators will want to know everything about them, but one particular detail stands out as being relevant both for learning about aliens and for modelling them better in the short term.
"As for what I would like to know about you, I have noticed that a lot of your media emphasizes community over the individual. Because of that, I suspect that understanding your social structures will be important to understanding you. How do you organize yourselves, and why?"
"Also, some of your audio transmissions strongly imply that there are people who would like to ask me questions, but all of your actual questions to me have been from a single source. Why is that? Would it be better for me to only respond to actual questions, or to also do my best to respond to implied questions?"