Abstract <p>This work presents a semantic map of intensions, understood here as relational connotations of speech acts. The result is a tool that consists of a dataset of intensions, its embedding in a semantic space, and a graph of relations among the intensions, plus a neural network trained to recognize given intensions in utterances. The tool can be used for creating formal representations of social relational aspects of speech acts in a dialogue. The method of constructing the map is based on using OpenAI ChatGPT, fine-tuning a large language model (LLM), linear algebra, and graph theory. The constructed model of semantic space of intensions extends beyond the popular settings for sentiment or tonality analysis of texts in natural language. As a general model applicable to virtually any paradigm of social interaction, it can be used for constructing specialized models of limited paradigms. Therefore, the developed tool can enable efficient integration of LLMs with cognitive architectures, such as eBICA, for building socially emotional conversational agents.</p>