Based on prior knowledge, the relationship between the feature ChestPainType and the task of determining whether the coronary angiography of a patient shows heart disease can be analyzed as follows:

Chest pain is a common symptom of heart disease, and the different types of chest pain can provide valuable information about the likelihood of a heart disease diagnosis. 

Analyzing the given feature, ChestPainType, we can consider the following possible relationships with the task:

1. 'ATA' (Atypical Angina): Atypical angina is not typically associated with heart disease. Therefore, it is more likely that patients with this chest pain type would have a negative coronary angiography result, indicating no heart disease.

2. 'NAP' (Non-Anginal Pain): Non-anginal chest pain is not directly related to heart disease. Therefore, patients with this chest pain type would likely have a negative coronary angiography result, indicating no heart disease.

3. 'ASY' (Asymptomatic): Asymptomatic individuals do not experience any chest pain or symptoms. These individuals are less likely to have heart disease, so they would likely have a negative coronary angiography result.

4. 'TA' (Typical Angina): Typical angina is a classic symptom of heart disease. Therefore, patients with this chest pain type would likely have a positive coronary angiography result, indicating the presence of heart disease.

Based on this analysis, we can create the following dictionary:

```json
{
	"no": ["ATA", "NAP", "ASY"],
	"yes": ["TA"]
}
```
Please note that the list for the target class "no" includes "ATA", "NAP", and "ASY" as these are the possible values of ChestPainType for patients who are less likely to have heart disease. The list for the target class "yes" includes "TA" as it corresponds to the likely value of ChestPainType for patients who are more likely to have heart disease.