
### Instruction: help me answer this question Find the coordinates of the foci, vertices, length of major axis, length of minor axis, eccentricity, and length of latus rectum for the equation 36x^2 + 4y^2 = 144., think step by step
### Assistant:  , The answer is {'foci': ['(0, 4√2)', '(0, -4√2)'], 'vertices': ['(0, 6)', '(0, -6)'], 'major axis length': 12, 'minor axis length': 4, 'eccentricity': '2√2/3', 'latus rectum length': '4/3'}
