{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"scicode","formal_name":"SciCode","introduction":"SciCode evaluates the ability to solve scientific research problems through code. Problems are decomposed into subproblems; this dev import preserves the relationships between 15 parent problems and 50 subproblems.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/SciCode1/SciCode","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"f70c1f94-1c09-59ea-ad31-7da7fd4df5fc","task_key":"dev--49c68bb1-a088-53d9-a366-0885b5d1b63b--70~2e6","task_revision_id":"3","upstream_id":"70.6","short_description":"Write a function to calculate the two SU(3) invariants $|h|^{2} \\equiv h_{k}…","config":"","split":"dev","body":"{\"step_background\":\"\",\"step_description_prompt\":\"Write a function to calculate the two SU(3) invariants $|h|^{2} \\\\equiv h_{k} h^{k}$ and $\\\\langle h\\\\rangle \\\\equiv d_{i j k} h^{i} h^{j} h^{k}$, where $h$ is the expansion coefficients defined in prompt () and $d_{ijk}$ is the tensor defined in prompt (). Sum over all indices. Then use the two invariants to calculate the following terms $\\\\psi_{m} \\\\equiv \\\\frac{2|h|}{\\\\sqrt{3}} \\\\cos \\\\left[\\\\frac{1}{3}(\\\\chi+2 \\\\pi m)\\\\right]$ with $m=1,2,3$ and $\\\\cos (\\\\chi)=-\\\\sqrt{3}\\\\langle h\\\\rangle /|h|^{3}$. Return a list containing $h_2$, $h_3$, and $\\\\psi_{m}$, in this order.\"}","display_format":"scicode-step","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/SciCode1/SciCode","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}