{"backend_name": "ibmq_montreal", "backend_version": "1.9.5", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["measure", "u2", "u1", "sx", "x", "setf", "u3", "cx", "id", "delay", "rz", "acquire", "shiftf", "play", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4", "n_registers": 1, "credits_required": true, "online_date": "2020-06-03T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 128, "qubit_channel_mapping": [["u1", "u0", "m0", "d0"], ["d1", "u2", "u1", "m1", "u4", "u3", "u0", "u8"], ["d2", "u6", "u2", "u4", "m2", "u5"], ["u6", "d3", "m3", "u10", "u7", "u5"], ["u3", "u13", "u9", "m4", "u8", "d4"], ["m5", "u10", "d5", "u11", "u16", "u7"], ["m6", "u12", "d6", "u14"], ["m7", "u12", "d7", "u15", "u20", "u9", "u13", "u14"], ["m8", "u17", "d8", "u11", "u16", "u22", "u19", "u18"], ["m9", "u17", "d9", "u19"], ["u24", "d10", "m10", "u21", "u15", "u20"], ["m11", "u29", "d11", "u22", "u18", "u23"], ["u32", "u24", "m12", "u21", "u25", "u27", "u26", "d12"], ["u28", "d13", "u30", "u25", "u27", "m13"], ["u29", "u28", "d14", "m14", "u34", "u31", "u30", "u23"], ["u37", "u32", "m15", "u33", "d15", "u26"], ["u40", "d16", "u34", "m16", "u31", "u35"], ["u38", "u36", "m17", "d17"], ["u37", "u44", "u33", "u39", "d18", "u36", "u38", "m18"], ["u42", "u40", "u35", "u43", "u46", "u41", "d19", "m19"], ["m20", "d20", "u41", "u43"], ["u44", "u45", "m21", "u48", "u39", "d21"], ["u42", "d22", "m22", "u46", "u47", "u52"], ["u50", "m23", "d23", "u45", "u48", "u49"], ["u50", "m24", "u51", "u53", "d24", "u49"], ["u55", "m25", "u53", "d25", "u54", "u51", "u47", "u52"], ["d26", "u55", "m26", "u54"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.410721175793674, 5.410721175793674], [4.334686632799765, 5.334686632799765], [4.482351366935973, 5.482351366935973], [4.60489119915921, 5.60489119915921], [4.503742965294408, 5.503742965294408], [4.533091800969442, 5.533091800969442], [4.450608804128911, 5.450608804128912], [4.4056841207465345, 5.4056841207465345], [4.40818637930849, 5.40818637930849], [4.544611221757046, 5.544611221757046], [4.581932604386775, 5.581932604386775], [4.5341439658219995, 5.5341439658219995], [4.472275341383392, 5.472275341383392], [4.368253685878823, 5.368253685878823], [4.460940637415141, 5.460940637415141], [4.533903744210761, 5.533903744210761], [4.585532467857762, 5.585532467857762], [4.572130667797018, 5.572130667797018], [4.481368853631676, 5.481368853631676], [4.483193250791359, 5.483193250791359], [4.582198527075786, 5.582198527075786], [4.5733414145544415, 5.5733414145544415], [4.556970007957142, 5.556970007957142], [4.4728467157339455, 5.4728467157339455], [4.551505795441573, 5.551505795441573], [4.434188828946117, 5.434188828946117], [4.499942449317529, 5.499942449317529]], "meas_lo_range": [[6.771393973, 7.771393973], [6.8857336160000004, 7.8857336160000004], [6.763340178, 7.763340178000001], [6.899158986000001, 7.899158986000001], [6.827607977, 7.827607977], [6.840916165, 7.840916165], [6.943263485, 7.943263485], [6.6921583710000005, 7.6921583710000005], [6.697564896, 7.697564896], [6.944852158000001, 7.944852158000001], [6.770849672000001, 7.770849672000001], [6.838729708000001, 7.838729708000001], [6.934767516000001, 7.934767516000001], [6.830482308000001, 7.830482308000001], [6.887795189, 7.887795189], [6.899318844000001, 7.899318844000001], [6.777288326000001, 7.777288326000001], [6.948326538000001, 7.948326538000001], [6.692928820000001, 7.692928820000001], [6.703609050000001, 7.703609050000001], [6.955696005, 7.955696005], [6.848794852, 7.848794852], [6.836487004, 7.836487004], [6.9138372100000005, 7.9138372100000005], [6.782084223, 7.782084223000001], [6.892533549, 7.892533549], [6.781974443, 7.781974443]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", 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