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28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "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}^{126}\\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_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) \\\\ & + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) \\\\ & + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) \\\\ & + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) \\\\ & + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) \\\\ & + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) \\\\ & + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) \\\\ & + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) \\\\ & + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) \\\\ & + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) \\\\ & + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) \\\\ & + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) \\\\ & + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) \\\\ & + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) \\\\ & + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) \\\\ & + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) \\\\ & + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) \\\\ & + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{109,114}(\\sigma_{109}^{+}\\sigma_{114}^{-}+\\sigma_{109}^{-}\\sigma_{114}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) \\\\ & + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) \\\\ & + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) \\\\ & + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) \\\\ & + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) \\\\ & + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) \\\\ & + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,1}(U_{0}^{(1,0)}(t))\\sigma_{1}^{X} + \\Omega_{d,2}(U_{2}^{(2,3)}(t)+U_{1}^{(2,1)}(t))\\sigma_{2}^{X} \\\\ & + \\Omega_{d,3}(U_{3}^{(3,4)}(t))\\sigma_{3}^{X} + \\Omega_{d,5}(U_{4}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{6}^{(6,7)}(t)+U_{5}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{7}^{(7,8)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{8}^{(8,16)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{10}^{(9,10)}(t)+U_{9}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,11}(U_{11}^{(11,10)}(t))\\sigma_{11}^{X} + \\Omega_{d,12}(U_{12}^{(12,11)}(t))\\sigma_{12}^{X} \\\\ & + \\Omega_{d,13}(U_{13}^{(13,12)}(t))\\sigma_{13}^{X} + \\Omega_{d,14}(U_{15}^{(14,18)}(t)+U_{14}^{(14,0)}(t))\\sigma_{14}^{X} \\\\ & + \\Omega_{d,15}(U_{16}^{(15,4)}(t))\\sigma_{15}^{X} + \\Omega_{d,16}(U_{17}^{(16,26)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,17}(U_{19}^{(17,30)}(t)+U_{18}^{(17,12)}(t))\\sigma_{17}^{X} + \\Omega_{d,18}(U_{20}^{(18,19)}(t))\\sigma_{18}^{X} \\\\ & + \\Omega_{d,20}(U_{21}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{23}^{(21,22)}(t)+U_{22}^{(21,20)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{24}^{(22,15)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{25}^{(23,22)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{27}^{(24,25)}(t)+U_{26}^{(24,23)}(t)+U_{28}^{(24,34)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{29}^{(25,26)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,27}(U_{31}^{(27,28)}(t)+U_{30}^{(27,26)}(t))\\sigma_{27}^{X} + \\Omega_{d,28}(U_{33}^{(28,35)}(t)+U_{32}^{(28,29)}(t))\\sigma_{28}^{X} \\\\ & + \\Omega_{d,30}(U_{34}^{(30,29)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{35}^{(31,30)}(t)+U_{36}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,33}(U_{37}^{(33,20)}(t))\\sigma_{33}^{X} + \\Omega_{d,35}(U_{38}^{(35,47)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{39}^{(36,32)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{41}^{(37,52)}(t)+U_{40}^{(37,38)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,39}(U_{42}^{(39,33)}(t)+U_{43}^{(39,38)}(t))\\sigma_{39}^{X} + \\Omega_{d,40}(U_{45}^{(40,41)}(t)+U_{44}^{(40,39)}(t))\\sigma_{40}^{X} \\\\ & + \\Omega_{d,42}(U_{46}^{(42,41)}(t)+U_{47}^{(42,43)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{48}^{(43,34)}(t)+U_{49}^{(43,44)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,45}(U_{50}^{(45,44)}(t)+U_{52}^{(45,54)}(t)+U_{51}^{(45,46)}(t))\\sigma_{45}^{X} + \\Omega_{d,46}(U_{53}^{(46,47)}(t))\\sigma_{46}^{X} \\\\ & + \\Omega_{d,48}(U_{54}^{(48,47)}(t)+U_{55}^{(48,49)}(t))\\sigma_{48}^{X} + \\Omega_{d,49}(U_{56}^{(49,50)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{57}^{(50,51)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{58}^{(51,36)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{59}^{(52,56)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{60}^{(53,41)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,55}(U_{61}^{(55,49)}(t))\\sigma_{55}^{X} + \\Omega_{d,57}(U_{63}^{(57,58)}(t)+U_{62}^{(57,56)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{64}^{(58,71)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{65}^{(59,58)}(t)+U_{66}^{(59,60)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{67}^{(60,53)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{69}^{(61,62)}(t)+U_{68}^{(61,60)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,62}(U_{70}^{(62,72)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{71}^{(63,62)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{72}^{(64,54)}(t)+U_{73}^{(64,63)}(t))\\sigma_{64}^{X} + \\Omega_{d,65}(U_{74}^{(65,64)}(t))\\sigma_{65}^{X} \\\\ & + \\Omega_{d,66}(U_{75}^{(66,65)}(t)+U_{76}^{(66,73)}(t))\\sigma_{66}^{X} + \\Omega_{d,67}(U_{77}^{(67,66)}(t))\\sigma_{67}^{X} \\\\ & + \\Omega_{d,68}(U_{78}^{(68,55)}(t)+U_{80}^{(68,69)}(t)+U_{79}^{(68,67)}(t))\\sigma_{68}^{X} + \\Omega_{d,69}(U_{81}^{(69,70)}(t))\\sigma_{69}^{X} \\\\ & + \\Omega_{d,71}(U_{82}^{(71,77)}(t))\\sigma_{71}^{X} + \\Omega_{d,74}(U_{83}^{(74,70)}(t))\\sigma_{74}^{X} \\\\ & + \\Omega_{d,75}(U_{84}^{(75,76)}(t))\\sigma_{75}^{X} + \\Omega_{d,76}(U_{85}^{(76,77)}(t))\\sigma_{76}^{X} \\\\ & + \\Omega_{d,78}(U_{86}^{(78,77)}(t)+U_{87}^{(78,79)}(t))\\sigma_{78}^{X} + \\Omega_{d,79}(U_{88}^{(79,80)}(t))\\sigma_{79}^{X} \\\\ & + \\Omega_{d,81}(U_{90}^{(81,80)}(t)+U_{89}^{(81,72)}(t)+U_{91}^{(81,82)}(t))\\sigma_{81}^{X} + \\Omega_{d,83}(U_{92}^{(83,82)}(t))\\sigma_{83}^{X} \\\\ & + \\Omega_{d,84}(U_{93}^{(84,83)}(t))\\sigma_{84}^{X} + \\Omega_{d,85}(U_{94}^{(85,73)}(t)+U_{95}^{(85,84)}(t))\\sigma_{85}^{X} \\\\ & + \\Omega_{d,86}(U_{96}^{(86,85)}(t))\\sigma_{86}^{X} + \\Omega_{d,87}(U_{99}^{(87,93)}(t)+U_{98}^{(87,88)}(t)+U_{97}^{(87,86)}(t))\\sigma_{87}^{X} \\\\ & + \\Omega_{d,88}(U_{100}^{(88,89)}(t))\\sigma_{88}^{X} + \\Omega_{d,89}(U_{101}^{(89,74)}(t))\\sigma_{89}^{X} \\\\ & + \\Omega_{d,90}(U_{103}^{(90,94)}(t)+U_{102}^{(90,75)}(t))\\sigma_{90}^{X} + \\Omega_{d,91}(U_{104}^{(91,79)}(t))\\sigma_{91}^{X} \\\\ & + \\Omega_{d,92}(U_{105}^{(92,83)}(t)+U_{106}^{(92,102)}(t))\\sigma_{92}^{X} + \\Omega_{d,93}(U_{107}^{(93,106)}(t))\\sigma_{93}^{X} \\\\ & + \\Omega_{d,94}(U_{108}^{(94,95)}(t))\\sigma_{94}^{X} + \\Omega_{d,96}(U_{111}^{(96,109)}(t)+U_{110}^{(96,97)}(t)+U_{109}^{(96,95)}(t))\\sigma_{96}^{X} \\\\ & + \\Omega_{d,97}(U_{112}^{(97,98)}(t))\\sigma_{97}^{X} + \\Omega_{d,98}(U_{113}^{(98,91)}(t))\\sigma_{98}^{X} \\\\ & + \\Omega_{d,99}(U_{114}^{(99,98)}(t))\\sigma_{99}^{X} + \\Omega_{d,100}(U_{116}^{(100,110)}(t)+U_{115}^{(100,99)}(t))\\sigma_{100}^{X} \\\\ & + \\Omega_{d,101}(U_{118}^{(101,102)}(t)+U_{117}^{(101,100)}(t))\\sigma_{101}^{X} + \\Omega_{d,103}(U_{120}^{(103,104)}(t)+U_{119}^{(103,102)}(t))\\sigma_{103}^{X} \\\\ & + \\Omega_{d,104}(U_{121}^{(104,105)}(t)+U_{122}^{(104,111)}(t))\\sigma_{104}^{X} + \\Omega_{d,105}(U_{123}^{(105,106)}(t))\\sigma_{105}^{X} \\\\ & + \\Omega_{d,106}(U_{124}^{(106,107)}(t))\\sigma_{106}^{X} + \\Omega_{d,108}(U_{126}^{(108,112)}(t)+U_{125}^{(108,107)}(t))\\sigma_{108}^{X} \\\\ & + \\Omega_{d,109}(U_{127}^{(109,114)}(t))\\sigma_{109}^{X} + \\Omega_{d,110}(U_{128}^{(110,118)}(t))\\sigma_{110}^{X} \\\\ & + \\Omega_{d,114}(U_{130}^{(114,115)}(t)+U_{129}^{(114,113)}(t))\\sigma_{114}^{X} + \\Omega_{d,115}(U_{131}^{(115,116)}(t))\\sigma_{115}^{X} \\\\ & + \\Omega_{d,116}(U_{132}^{(116,117)}(t))\\sigma_{116}^{X} + \\Omega_{d,117}(U_{133}^{(117,118)}(t))\\sigma_{117}^{X} \\\\ & + \\Omega_{d,119}(U_{134}^{(119,118)}(t))\\sigma_{119}^{X} + \\Omega_{d,120}(U_{136}^{(120,121)}(t)+U_{135}^{(120,119)}(t))\\sigma_{120}^{X} \\\\ & + \\Omega_{d,121}(U_{137}^{(121,122)}(t))\\sigma_{121}^{X} + \\Omega_{d,122}(U_{138}^{(122,111)}(t))\\sigma_{122}^{X} \\\\ & + \\Omega_{d,123}(U_{140}^{(123,124)}(t)+U_{139}^{(123,122)}(t))\\sigma_{123}^{X} + \\Omega_{d,125}(U_{142}^{(125,126)}(t)+U_{141}^{(125,124)}(t))\\sigma_{125}^{X} \\\\ & + \\Omega_{d,126}(U_{143}^{(126,112)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq79q80*Sp79*Sm80", "jq79q80*Sm79*Sp80", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq93q106*Sp93*Sm106", "jq93q106*Sm93*Sp106", "jq116q117*Sp116*Sm117", "jq116q117*Sm116*Sp117", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq12q17*Sp12*Sm17", "jq12q17*Sm12*Sp17", "jq41q53*Sp41*Sm53", "jq41q53*Sm41*Sp53", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq87q93*Sp87*Sm93", "jq87q93*Sm87*Sp93", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq79q91*Sp79*Sm91", "jq79q91*Sm79*Sp91", "jq26q27*Sp26*Sm27", "jq26q27*Sm26*Sp27", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq58q71*Sp58*Sm71", "jq58q71*Sm58*Sp71", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq4q15*Sp4*Sm15", "jq4q15*Sm4*Sp15", "jq86q87*Sp86*Sm87", "jq86q87*Sm86*Sp87", "jq113q114*Sp113*Sm114", "jq113q114*Sm113*Sp114", "jq104q111*Sp104*Sm111", "jq104q111*Sm104*Sp111", "jq123q124*Sp123*Sm124", "jq123q124*Sm123*Sp124", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq109q114*Sp109*Sm114", "jq109q114*Sm109*Sp114", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad0*X1||U0", "omegad3*X2||U2", "omegad1*X2||U1", "omegad4*X3||U3", "omegad4*X5||U4", "omegad7*X6||U6", "omegad5*X6||U5", "omegad8*X7||U7", "omegad16*X8||U8", "omegad10*X9||U10", "omegad8*X9||U9", "omegad10*X11||U11", "omegad11*X12||U12", "omegad12*X13||U13", "omegad18*X14||U15", "omegad0*X14||U14", "omegad4*X15||U16", "omegad26*X16||U17", "omegad30*X17||U19", "omegad12*X17||U18", "omegad19*X18||U20", "omegad19*X20||U21", "omegad22*X21||U23", "omegad20*X21||U22", "omegad15*X22||U24", "omegad22*X23||U25", "omegad25*X24||U27", "omegad23*X24||U26", "omegad34*X24||U28", "omegad26*X25||U29", "omegad28*X27||U31", "omegad26*X27||U30", "omegad35*X28||U33", "omegad29*X28||U32", "omegad29*X30||U34", "omegad30*X31||U35", "omegad32*X31||U36", "omegad20*X33||U37", "omegad47*X35||U38", "omegad32*X36||U39", "omegad52*X37||U41", "omegad38*X37||U40", "omegad33*X39||U42", "omegad38*X39||U43", "omegad41*X40||U45", "omegad39*X40||U44", "omegad41*X42||U46", "omegad43*X42||U47", "omegad34*X43||U48", "omegad44*X43||U49", "omegad44*X45||U50", "omegad54*X45||U52", "omegad46*X45||U51", "omegad47*X46||U53", "omegad47*X48||U54", "omegad49*X48||U55", "omegad50*X49||U56", "omegad51*X50||U57", "omegad36*X51||U58", "omegad56*X52||U59", "omegad41*X53||U60", "omegad49*X55||U61", "omegad58*X57||U63", "omegad56*X57||U62", "omegad71*X58||U64", "omegad58*X59||U65", "omegad60*X59||U66", "omegad53*X60||U67", "omegad62*X61||U69", "omegad60*X61||U68", "omegad72*X62||U70", "omegad62*X63||U71", "omegad54*X64||U72", "omegad63*X64||U73", "omegad64*X65||U74", "omegad65*X66||U75", "omegad73*X66||U76", "omegad66*X67||U77", "omegad55*X68||U78", "omegad69*X68||U80", "omegad67*X68||U79", "omegad70*X69||U81", "omegad77*X71||U82", "omegad70*X74||U83", "omegad76*X75||U84", "omegad77*X76||U85", "omegad77*X78||U86", "omegad79*X78||U87", "omegad80*X79||U88", "omegad80*X81||U90", "omegad72*X81||U89", "omegad82*X81||U91", "omegad82*X83||U92", "omegad83*X84||U93", "omegad73*X85||U94", "omegad84*X85||U95", "omegad85*X86||U96", "omegad93*X87||U99", "omegad88*X87||U98", "omegad86*X87||U97", "omegad89*X88||U100", "omegad74*X89||U101", "omegad94*X90||U103", "omegad75*X90||U102", "omegad79*X91||U104", "omegad83*X92||U105", "omegad102*X92||U106", "omegad106*X93||U107", "omegad95*X94||U108", "omegad109*X96||U111", "omegad97*X96||U110", "omegad95*X96||U109", "omegad98*X97||U112", "omegad91*X98||U113", "omegad98*X99||U114", "omegad110*X100||U116", "omegad99*X100||U115", "omegad102*X101||U118", "omegad100*X101||U117", "omegad104*X103||U120", "omegad102*X103||U119", "omegad105*X104||U121", "omegad111*X104||U122", "omegad106*X105||U123", "omegad107*X106||U124", "omegad112*X108||U126", "omegad107*X108||U125", "omegad114*X109||U127", "omegad118*X110||U128", "omegad115*X114||U130", "omegad113*X114||U129", "omegad116*X115||U131", "omegad117*X116||U132", "omegad118*X117||U133", "omegad118*X119||U134", "omegad121*X120||U136", "omegad119*X120||U135", "omegad122*X121||U137", "omegad111*X122||U138", "omegad124*X123||U140", "omegad122*X123||U139", "omegad126*X125||U142", "omegad124*X125||U141", "omegad112*X126||U143"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3, "33": 3, "34": 3, "35": 3, "36": 3, "37": 3, "38": 3, "39": 3, "40": 3, "41": 3, "42": 3, "43": 3, "44": 3, "45": 3, "46": 3, "47": 3, "48": 3, "49": 3, "50": 3, "51": 3, "52": 3, "53": 3, "54": 3, "55": 3, "56": 3, "57": 3, "58": 3, "59": 3, "60": 3, "61": 3, "62": 3, "63": 3, "64": 3, "65": 3, "66": 3, "67": 3, "68": 3, "69": 3, "70": 3, "71": 3, "72": 3, "73": 3, "74": 3, "75": 3, "76": 3, "77": 3, "78": 3, "79": 3, "80": 3, "81": 3, "82": 3, "83": 3, "84": 3, "85": 3, "86": 3, "87": 3, "88": 3, "89": 3, "90": 3, "91": 3, "92": 3, "93": 3, "94": 3, "95": 3, "96": 3, "97": 3, "98": 3, "99": 3, "100": 3, "101": 3, "102": 3, "103": 3, 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"type": "control"}, "u61": {"operates": {"qubits": [55, 49]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [57, 56]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [57, 58]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [58, 71]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [59, 58]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [59, 60]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [60, 53]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [61, 60]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [61, 62]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [7, 8]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [62, 72]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [63, 62]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [64, 54]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [64, 63]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [65, 64]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [66, 65]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [66, 73]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [67, 66]}, "purpose": "cross-resonance", "type": "control"}, "u78": {"operates": {"qubits": [68, 55]}, "purpose": "cross-resonance", "type": "control"}, "u79": {"operates": {"qubits": [68, 67]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [8, 16]}, "purpose": "cross-resonance", "type": "control"}, "u80": {"operates": {"qubits": [68, 69]}, "purpose": "cross-resonance", "type": "control"}, "u81": {"operates": {"qubits": [69, 70]}, "purpose": "cross-resonance", "type": "control"}, "u82": {"operates": {"qubits": [71, 77]}, "purpose": "cross-resonance", "type": "control"}, "u83": {"operates": {"qubits": [74, 70]}, "purpose": "cross-resonance", "type": "control"}, "u84": {"operates": {"qubits": [75, 76]}, "purpose": "cross-resonance", "type": "control"}, "u85": {"operates": {"qubits": [76, 77]}, "purpose": "cross-resonance", "type": "control"}, "u86": {"operates": {"qubits": [78, 77]}, "purpose": "cross-resonance", "type": "control"}, "u87": {"operates": {"qubits": [78, 79]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [79, 80]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [81, 72]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [81, 80]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [81, 82]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [83, 82]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [84, 83]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [85, 73]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [85, 84]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [86, 85]}, "purpose": "cross-resonance", "type": "control"}, "u97": {"operates": {"qubits": [87, 86]}, "purpose": "cross-resonance", "type": "control"}, "u98": {"operates": {"qubits": [87, 88]}, "purpose": "cross-resonance", "type": "control"}, "u99": {"operates": {"qubits": [87, 93]}, "purpose": "cross-resonance", "type": "control"}}}