{"release": {"id": 2, "name": "local-mysql8-output", "source_file": "/Users/yt/Desktop/Development/Projects/DjangoProject/output_indexed.json", "source_sha256": "fcb74e809a9153e73e245c8b7dd63016d32da8589ec8588fb3266bcf09824505", "created_at": "2026-03-07T08:14:40.024430+00:00"}, "path": {"configuration": "Collinear", "group_type": "typeI", "g0_num": 16, "l0_num": 16, "index_label": "16.16.1.1.L"}, "group": {"id": 19521, "label": "16.16.1.1.L", "it": 1, "ik": 1, "index_no": 1, "gs": "1", "gso": "∞m", "tspin": "1", "spin_part_point_group": "∞m", "basis": "G0", "international_notation": "$P\\ce{^{1}{2}}\\ce{^{1}{2}}\\ce{^{1}{2}}\\ce{^{\\infty m}{1}}$", "translational_generators": "a = (1, 0, 0), b = (0, 1, 0), c = (0, 0, 1)", "num_all_elements": 4, "num_u_r_tau": 4, "num_u_e_tau": 1, "num_u_e_0": 1, "num_e_e_tau": 1, "magnetic_cell_type": "1", "conventional_to_primitive_p": [[1, 0, 0], [0, 1, 0], [0, 0, 1]], "transformation_matrix_m": [[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]], "notes": ["(aC, bC, cC) P = (aP, bP, cP)", "[a_G0, b_G0, c_G0] M = [a_L0, b_L0, c_L0]"], "file1_raw": {"Note": ["(aC, bC, cC) P = (aP, bP, cP)", "[a_G0, b_G0, c_G0] M = [a_L0, b_L0, c_L0]"], "Basis": "G0", "num_of__U_E_0": 1, "num_of__E_E_tau": 1, "num_of__U_E_tau": 1, "num_of__U_R_tau": 4, "[Gs, Gso, Tspin]": "[1, ∞m, 1]", "spin space group": "16.16.1.1.L", "num_of_all_elements": 4, "International Notation": "$P\\ce{^{1}{2}}\\ce{^{1}{2}}\\ce{^{1}{2}}\\ce{^{\\infty m}{1}}$", "transformation_matrix M": [[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]], "[G_0, L_0, _I_t, I_k, Index]": [16, 16, 1, 1, 1], "magnetic primitive cell type": 1, "Translational group generators": "a = (1, 0, 0), b = (0, 1, 0), c = (0, 0, 1)", "conventional to primitive matrix P": [[1, 0, 0], [0, 1, 0], [0, 0, 1]]}, "wp_raw": {"Coordinates": [[[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["x", "y", "z"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["-x", "-y", "z"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["-x", "y", "-z"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["x", "-y", "-z"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["1/2", "1/2", "z"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["1/2", "1/2", "-z"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["0", "1/2", "z"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["0", "1/2", "-z"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["1/2", "0", "z"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["1/2", "0", "-z"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["0", "0", "z"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["0", "0", "-z"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["1/2", "y", "1/2"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["1/2", "-y", "1/2"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["1/2", "y", "0"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["1/2", "-y", "0"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["0", "y", "1/2"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["0", "-y", "1/2"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["0", "y", "0"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["0", "-y", "0"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["x", "1/2", "1/2"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["-x", "1/2", "1/2"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["x", "1/2", "0"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["-x", "1/2", "0"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["x", "0", "1/2"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["-x", "0", "1/2"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]]], ["x", "0", "0"], "Matrix([[0], [0], [mx]])"], [[["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["-x", "0", "0"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["1/2", "1/2", "1/2"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["0", "1/2", "1/2"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["1/2", "0", "1/2"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["1/2", "1/2", "0"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["0", "0", "1/2"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["0", "1/2", "0"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["1/2", "0", "0"], "Matrix([[0], [0], [mx]])"]], [[[["{1||1|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]], ["{1||2_{100}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{010}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]])"]], ["{1||2_{001}|0 0 0}", ["Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])", "Matrix([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])"]]], ["0", "0", "0"], "Matrix([[0], [0], [mx]])"]]], "Multiplicity": [4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], "Site symmetry": ["1", "..2", "..2", "..2", "..2", ".2.", ".2.", ".2.", ".2.", "2..", "2..", "2..", "2..", "222", "222", "222", "222", "222", "222", "222", "222"], "Wyckoff letter": ["u", "t", "s", "r", "q", "p", "o", "n", "m", "l", "k", "j", "i", "h", "g", "f", "e", "d", "c", "b", "a"], "spin site symmetry": ["^{1}1^{\\infty m}1", "..^{1}2^{\\infty m}1", "..^{1}2^{\\infty m}1", "..^{1}2^{\\infty m}1", "..^{1}2^{\\infty m}1", ".^{1}2.^{\\infty m}1", ".^{1}2.^{\\infty m}1", ".^{1}2.^{\\infty m}1", ".^{1}2.^{\\infty m}1", "^{1}2..^{\\infty m}1", "^{1}2..^{\\infty m}1", "^{1}2..^{\\infty m}1", "^{1}2..^{\\infty m}1", "^{1}2^{1}2^{1}2^{\\infty m}1", "^{1}2^{1}2^{1}2^{\\infty m}1", "^{1}2^{1}2^{1}2^{\\infty m}1", "^{1}2^{1}2^{1}2^{\\infty m}1", "^{1}2^{1}2^{1}2^{\\infty m}1", "^{1}2^{1}2^{1}2^{\\infty m}1", "^{1}2^{1}2^{1}2^{\\infty m}1", "^{1}2^{1}2^{1}2^{\\infty m}1"]}}, "operations": [{"source_file": "file2", "section_name": "E_E_tau", "op_index": 1, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{1||1|0 0 0}", "coordinate": "(u, v, w, +1, x, y, z)", "row_raw": {"spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||1|0 0 0}", "space": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "E_E_tau": 1, "coordinate": "(u, v, w, +1, x, y, z)"}}, {"source_file": "file2", "section_name": "U_E_0", "op_index": 1, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{1||1|0 0 0}", "coordinate": "(u, v, w, +1, x, y, z)", "row_raw": {"spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||1|0 0 0}", "U_E_0": 1, "space": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "coordinate": "(u, v, w, +1, x, y, z)"}}, {"source_file": "file2", "section_name": "U_E_0", "op_index": 2, "spin_expr": "[cos(\\phi),-sin(\\phi),0,sin(\\phi),cos(\\phi),0,0,0,1]", "space_expr": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{\\ce{^{\\infty}{1}}||1|0 0 0}", "coordinate": "(cos(\\phi)*u - sin(\\phi)*v, sin(\\phi)*u + cos(\\phi)*v, w, +1, x, y, z)", "row_raw": {"spin": "[cos(\\phi),-sin(\\phi),0,sin(\\phi),cos(\\phi),0,0,0,1]", "Seitz": "{\\ce{^{\\infty}{1}}||1|0 0 0}", "U_E_0": 2, "space": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "coordinate": "(cos(\\phi)*u - sin(\\phi)*v, sin(\\phi)*u + cos(\\phi)*v, w, +1, x, y, z)"}}, {"source_file": "file2", "section_name": "U_E_0", "op_index": 3, "spin_expr": "[-1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{\\ce{^{m_{100}}{1}}||1|0 0 0}", "coordinate": "(-u, v, w, -1, x, y, z)", "row_raw": {"spin": "[-1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{\\ce{^{m_{100}}{1}}||1|0 0 0}", "U_E_0": 3, "space": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "coordinate": "(-u, v, w, -1, x, y, z)"}}, {"source_file": "file2", "section_name": "U_E_tau", "op_index": 1, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{1||1|0 0 0}", "coordinate": "(u, v, w, +1, x, y, z)", "row_raw": {"spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||1|0 0 0}", "space": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "U_E_tau": 1, "coordinate": "(u, v, w, +1, x, y, z)"}}, {"source_file": "file2", "section_name": "U_R_tau", "op_index": 1, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{1||1|0 0 0}", "coordinate": "(u, v, w, +1, x, y, z)", "row_raw": {"spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||1|0 0 0}", "space": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "U_R_tau": 1, "coordinate": "(u, v, w, +1, x, y, z)"}}, {"source_file": "file2", "section_name": "U_R_tau", "op_index": 2, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[1, 0, 0, 0, -1, 0, 0, 0, -1], [0, 0, 0]]", "seitz": "{1||2_{100}|0 0 0}", "coordinate": "(u, v, w, +1, x, -y, -z)", "row_raw": {"spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||2_{100}|0 0 0}", "space": "[[1, 0, 0, 0, -1, 0, 0, 0, -1], [0, 0, 0]]", "U_R_tau": 2, "coordinate": "(u, v, w, +1, x, -y, -z)"}}, {"source_file": "file2", "section_name": "U_R_tau", "op_index": 3, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[-1, 0, 0, 0, 1, 0, 0, 0, -1], [0, 0, 0]]", "seitz": "{1||2_{010}|0 0 0}", "coordinate": "(u, v, w, +1, -x, y, -z)", "row_raw": {"spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||2_{010}|0 0 0}", "space": "[[-1, 0, 0, 0, 1, 0, 0, 0, -1], [0, 0, 0]]", "U_R_tau": 3, "coordinate": "(u, v, w, +1, -x, y, -z)"}}, {"source_file": "file2", "section_name": "U_R_tau", "op_index": 4, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[-1, 0, 0, 0, -1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{1||2_{001}|0 0 0}", "coordinate": "(u, v, w, +1, -x, -y, z)", "row_raw": {"spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||2_{001}|0 0 0}", "space": "[[-1, 0, 0, 0, -1, 0, 0, 0, 1], [0, 0, 0]]", "U_R_tau": 4, "coordinate": "(u, v, w, +1, -x, -y, z)"}}, {"source_file": "file3", "section_name": "extra__U_E_0(without_identity)", "op_index": 1, "spin_expr": "[cos(\\phi),-sin(\\phi),0,sin(\\phi),cos(\\phi),0,0,0,1]", "space_expr": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{\\ce{^{\\infty}{1}}||1|0 0 0}", "coordinate": "(cos(\\phi)*u - sin(\\phi)*v, sin(\\phi)*u + cos(\\phi)*v, w, +1, x, y, z)", "row_raw": {"spin": "[cos(\\phi),-sin(\\phi),0,sin(\\phi),cos(\\phi),0,0,0,1]", "Seitz": "{\\ce{^{\\infty}{1}}||1|0 0 0}", "space": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "coordinate": "(cos(\\phi)*u - sin(\\phi)*v, sin(\\phi)*u + cos(\\phi)*v, w, +1, x, y, z)", "extra__U_E_0(without_identity)": 1}}, {"source_file": "file3", "section_name": "extra__U_E_0(without_identity)", "op_index": 2, "spin_expr": "[-1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{\\ce{^{m_{100}}{1}}||1|0 0 0}", "coordinate": "(-u, v, w, -1, x, y, z)", "row_raw": {"spin": "[-1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{\\ce{^{m_{100}}{1}}||1|0 0 0}", "space": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "coordinate": "(-u, v, w, -1, x, y, z)", "extra__U_E_0(without_identity)": 2}}, {"source_file": "file3", "section_name": "No.", "op_index": 1, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{1||1|0 0 0}", "coordinate": "(u, v, w, +1, x, y, z)", "row_raw": {"No.": 1, "spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||1|0 0 0}", "space": "[[1, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0]]", "coordinate": "(u, v, w, +1, x, y, z)"}}, {"source_file": "file3", "section_name": "No.", "op_index": 2, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[1, 0, 0, 0, -1, 0, 0, 0, -1], [0, 0, 0]]", "seitz": "{1||2_{100}|0 0 0}", "coordinate": "(u, v, w, +1, x, -y, -z)", "row_raw": {"No.": 2, "spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||2_{100}|0 0 0}", "space": "[[1, 0, 0, 0, -1, 0, 0, 0, -1], [0, 0, 0]]", "coordinate": "(u, v, w, +1, x, -y, -z)"}}, {"source_file": "file3", "section_name": "No.", "op_index": 3, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[-1, 0, 0, 0, 1, 0, 0, 0, -1], [0, 0, 0]]", "seitz": "{1||2_{010}|0 0 0}", "coordinate": "(u, v, w, +1, -x, y, -z)", "row_raw": {"No.": 3, "spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||2_{010}|0 0 0}", "space": "[[-1, 0, 0, 0, 1, 0, 0, 0, -1], [0, 0, 0]]", "coordinate": "(u, v, w, +1, -x, y, -z)"}}, {"source_file": "file3", "section_name": "No.", "op_index": 4, "spin_expr": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "space_expr": "[[-1, 0, 0, 0, -1, 0, 0, 0, 1], [0, 0, 0]]", "seitz": "{1||2_{001}|0 0 0}", "coordinate": "(u, v, w, +1, -x, -y, z)", "row_raw": {"No.": 4, "spin": "[1, 0, 0, 0, 1, 0, 0, 0, 1]", "Seitz": "{1||2_{001}|0 0 0}", "space": "[[-1, 0, 0, 0, -1, 0, 0, 0, 1], [0, 0, 0]]", "coordinate": "(u, v, w, +1, -x, -y, z)"}}]}