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5.146730575773292], [4.280729675644209, 5.280729675644209], [4.197371839636546, 5.197371839636546], [4.4707509522019855, 5.4707509522019855], [4.3108981088173275, 5.3108981088173275], [4.470057250845373, 5.470057250845373], [4.29958390245964, 5.29958390245964], [4.0449000451767985, 5.044900045176799], [4.301367950571219, 5.301367950571219], [4.163020152701483, 5.163020152701482], [4.284788493499721, 5.284788493499721], [4.183111437963194, 5.183111437963194], [4.430766944586313, 5.430766944586313], [4.2989270286314545, 5.2989270286314545], [4.385356471684178, 5.385356471684178], [4.2577052030691585, 5.2577052030691585], [4.161033814517726, 5.161033814517726], [4.28209259695872, 5.28209259695872], [4.387159423193081, 5.387159423193081], [4.398894174276911, 5.398894174276911], [4.177324487468983, 5.177324487468983], [4.202657317976697, 5.202657317976698], [4.38146759612539, 5.38146759612539], [4.295405301185964, 5.295405301185964], [4.118092635483658, 5.118092635483658], [4.2843272449151755, 5.2843272449151755], [4.424617061054228, 5.424617061054228], [4.277041922170065, 5.277041922170065], [4.141236739641972, 5.141236739641971], [4.325362972733633, 5.325362972733633], [4.19794979684864, 5.19794979684864], [4.332130631816125, 5.332130631816125]], "meas_lo_range": [[6.93103388, 7.93103388], [6.879880966, 7.879880966000001], [6.638650157000001, 7.638650157000001], [6.681991042000001, 7.681991042000001], [6.5221497280000005, 7.5221497280000005], [6.460815234, 7.460815234000001], [6.292733087, 7.292733087], [6.359965371, 7.359965371], [6.516921462, 7.516921462000001], [6.718020546, 7.718020546000001], [6.870164451000001, 7.870164451000001], [6.4587194640000005, 7.4587194640000005], [6.693550151, 7.693550151], [6.631541810000001, 7.631541810000001], [6.928387225000001, 7.928387225000001], [6.676234483, 7.676234483000001], [6.521407369, 7.521407369], [6.289946096, 7.289946096], [6.356351776, 7.356351776], [6.300262172, 7.300262172], [6.467902092, 7.467902092], [6.646504527, 7.646504527], [6.93427797, 7.93427797], [6.8801047980000005, 7.8801047980000005], [6.868123473000001, 7.868123473000001], [6.359516073, 7.359516073000001], [6.932182927, 7.932182927], [6.868408592000001, 7.868408592000001], [6.927577806, 7.927577806], [6.629417205, 7.629417205], [6.454253467, 7.454253467], [6.286377629, 7.286377629], [6.350946773, 7.350946773], [6.296417368, 7.296417368], [6.4749845210000005, 7.4749845210000005], [6.644988251, 7.644988251000001], [6.5222957930000005, 7.5222957930000005], [6.6948404, 7.6948404], [6.930036295000001, 7.930036295000001], [6.345247308, 7.345247308], [6.879676081, 7.879676081], [6.628588092, 7.628588092], [6.674288983, 7.674288983], [6.513325244000001, 7.513325244000001], [6.2860612090000005, 7.2860612090000005], [6.344184642, 7.344184642], [6.293821802, 7.293821802], [6.513385891, 7.513385891], [6.6909397, 7.6909397], [6.931649399, 7.931649399], [6.866611819, 7.866611819], [6.639136032000001, 7.639136032000001], [6.451299499, 7.451299499], [6.456283529, 7.456283529], [6.680788845, 7.680788845], [6.669844232, 7.669844232000001], [6.516557755, 7.516557755000001], [6.3470209440000005, 7.3470209440000005], [6.287468079000001, 7.287468079000001], [6.350693164000001, 7.350693164000001], [6.518509337, 7.518509337], [6.455681019, 7.455681019], [6.642298863000001, 7.642298863000001], [6.867597688, 7.867597688000001], [6.924686966, 7.924686966]], "meas_kernels": ["boxcar"], "discriminators": ["linear_discriminator", "quadratic_discriminator"], "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}^{64}\\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_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{36,37}(\\sigma_{36}^{+}\\sigma_{37}^{-}+\\sigma_{36}^{-}\\sigma_{37}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) \\\\ & + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{34,35}(\\sigma_{34}^{+}\\sigma_{35}^{-}+\\sigma_{34}^{-}\\sigma_{35}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{23,26}(\\sigma_{23}^{+}\\sigma_{26}^{-}+\\sigma_{23}^{-}\\sigma_{26}^{+}) + J_{0,10}(\\sigma_{0}^{+}\\sigma_{10}^{-}+\\sigma_{0}^{-}\\sigma_{10}^{+}) \\\\ & + J_{51,54}(\\sigma_{51}^{+}\\sigma_{54}^{-}+\\sigma_{51}^{-}\\sigma_{54}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) \\\\ & + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{32,33}(\\sigma_{32}^{+}\\sigma_{33}^{-}+\\sigma_{32}^{-}\\sigma_{33}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) \\\\ & + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) + J_{47,53}(\\sigma_{47}^{+}\\sigma_{53}^{-}+\\sigma_{47}^{-}\\sigma_{53}^{+}) + J_{39,45}(\\sigma_{39}^{+}\\sigma_{45}^{-}+\\sigma_{39}^{-}\\sigma_{45}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{35,40}(\\sigma_{35}^{+}\\sigma_{40}^{-}+\\sigma_{35}^{-}\\sigma_{40}^{+}) + J_{19,25}(\\sigma_{19}^{+}\\sigma_{25}^{-}+\\sigma_{19}^{-}\\sigma_{25}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{35,36}(\\sigma_{35}^{+}\\sigma_{36}^{-}+\\sigma_{35}^{-}\\sigma_{36}^{+}) + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) \\\\ & + J_{12,21}(\\sigma_{12}^{+}\\sigma_{21}^{-}+\\sigma_{12}^{-}\\sigma_{21}^{+}) + J_{38,41}(\\sigma_{38}^{+}\\sigma_{41}^{-}+\\sigma_{38}^{-}\\sigma_{41}^{+}) + J_{31,39}(\\sigma_{31}^{+}\\sigma_{39}^{-}+\\sigma_{31}^{-}\\sigma_{39}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{10,13}(\\sigma_{10}^{+}\\sigma_{13}^{-}+\\sigma_{10}^{-}\\sigma_{13}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) \\\\ & + J_{26,37}(\\sigma_{26}^{+}\\sigma_{37}^{-}+\\sigma_{26}^{-}\\sigma_{37}^{+}) + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{14,15}(\\sigma_{14}^{+}\\sigma_{15}^{-}+\\sigma_{14}^{-}\\sigma_{15}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{40,49}(\\sigma_{40}^{+}\\sigma_{49}^{-}+\\sigma_{40}^{-}\\sigma_{49}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{55,56}(\\sigma_{55}^{+}\\sigma_{56}^{-}+\\sigma_{55}^{-}\\sigma_{56}^{+}) \\\\ & + J_{4,11}(\\sigma_{4}^{+}\\sigma_{11}^{-}+\\sigma_{4}^{-}\\sigma_{11}^{+}) + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{33,34}(\\sigma_{33}^{+}\\sigma_{34}^{-}+\\sigma_{33}^{-}\\sigma_{34}^{+}) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{11,17}(\\sigma_{11}^{+}\\sigma_{17}^{-}+\\sigma_{11}^{-}\\sigma_{17}^{+}) \\\\ & + J_{15,24}(\\sigma_{15}^{+}\\sigma_{24}^{-}+\\sigma_{15}^{-}\\sigma_{24}^{+}) + J_{8,12}(\\sigma_{8}^{+}\\sigma_{12}^{-}+\\sigma_{8}^{-}\\sigma_{12}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) \\\\ & + J_{24,29}(\\sigma_{24}^{+}\\sigma_{29}^{-}+\\sigma_{24}^{-}\\sigma_{29}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{27,38}(\\sigma_{27}^{+}\\sigma_{38}^{-}+\\sigma_{27}^{-}\\sigma_{38}^{+}) \\\\ & + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{43,52}(\\sigma_{43}^{+}\\sigma_{52}^{-}+\\sigma_{43}^{-}\\sigma_{52}^{+}) + J_{25,33}(\\sigma_{25}^{+}\\sigma_{33}^{-}+\\sigma_{25}^{-}\\sigma_{33}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,10)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,0)}(t)+U_{3}^{(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}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,5)}(t)+U_{8}^{(4,3)}(t)+U_{10}^{(4,11)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,4)}(t)+U_{12}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,12)}(t)+U_{18}^{(8,9)}(t)+U_{17}^{(8,7)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{20}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{21}^{(10,0)}(t)+U_{22}^{(10,13)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,4)}(t)+U_{24}^{(11,17)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,21)}(t)+U_{25}^{(12,8)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,10)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{30}^{(14,15)}(t)+U_{29}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,24)}(t)+U_{31}^{(15,14)}(t)+U_{32}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,15)}(t)+U_{35}^{(16,17)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{38}^{(17,18)}(t)+U_{37}^{(17,16)}(t)+U_{36}^{(17,11)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{40}^{(18,19)}(t)+U_{39}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{41}^{(19,18)}(t)+U_{43}^{(19,25)}(t)+U_{42}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{45}^{(20,21)}(t)+U_{44}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{47}^{(21,20)}(t)+U_{46}^{(21,12)}(t)+U_{48}^{(21,22)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{50}^{(22,23)}(t)+U_{49}^{(22,21)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{52}^{(23,26)}(t)+U_{51}^{(23,22)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{53}^{(24,15)}(t)+U_{54}^{(24,29)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{56}^{(25,33)}(t)+U_{55}^{(25,19)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{58}^{(26,37)}(t)+U_{57}^{(26,23)}(t))\\sigma_{26}^{X} + \\Omega_{d,27}(U_{59}^{(27,28)}(t)+U_{60}^{(27,38)}(t))\\sigma_{27}^{X} \\\\ & + \\Omega_{d,28}(U_{62}^{(28,29)}(t)+U_{61}^{(28,27)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{63}^{(29,24)}(t)+U_{65}^{(29,30)}(t)+U_{64}^{(29,28)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,30}(U_{67}^{(30,31)}(t)+U_{66}^{(30,29)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{70}^{(31,39)}(t)+U_{68}^{(31,30)}(t)+U_{69}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{72}^{(32,33)}(t)+U_{71}^{(32,31)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{74}^{(33,32)}(t)+U_{75}^{(33,34)}(t)+U_{73}^{(33,25)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{76}^{(34,33)}(t)+U_{77}^{(34,35)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{79}^{(35,36)}(t)+U_{78}^{(35,34)}(t)+U_{80}^{(35,40)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{82}^{(36,37)}(t)+U_{81}^{(36,35)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{83}^{(37,26)}(t)+U_{84}^{(37,36)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{86}^{(38,41)}(t)+U_{85}^{(38,27)}(t))\\sigma_{38}^{X} + \\Omega_{d,39}(U_{88}^{(39,45)}(t)+U_{87}^{(39,31)}(t))\\sigma_{39}^{X} \\\\ & + \\Omega_{d,40}(U_{89}^{(40,35)}(t)+U_{90}^{(40,49)}(t))\\sigma_{40}^{X} + \\Omega_{d,41}(U_{92}^{(41,42)}(t)+U_{91}^{(41,38)}(t))\\sigma_{41}^{X} \\\\ & + \\Omega_{d,42}(U_{94}^{(42,43)}(t)+U_{93}^{(42,41)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{97}^{(43,52)}(t)+U_{95}^{(43,42)}(t)+U_{96}^{(43,44)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{98}^{(44,43)}(t)+U_{99}^{(44,45)}(t))\\sigma_{44}^{X} + \\Omega_{d,45}(U_{101}^{(45,44)}(t)+U_{100}^{(45,39)}(t)+U_{102}^{(45,46)}(t))\\sigma_{45}^{X} \\\\ & + \\Omega_{d,46}(U_{103}^{(46,45)}(t)+U_{104}^{(46,47)}(t))\\sigma_{46}^{X} + \\Omega_{d,47}(U_{106}^{(47,48)}(t)+U_{105}^{(47,46)}(t)+U_{107}^{(47,53)}(t))\\sigma_{47}^{X} \\\\ & + \\Omega_{d,48}(U_{109}^{(48,49)}(t)+U_{108}^{(48,47)}(t))\\sigma_{48}^{X} + \\Omega_{d,49}(U_{111}^{(49,48)}(t)+U_{110}^{(49,40)}(t)+U_{112}^{(49,50)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{114}^{(50,51)}(t)+U_{113}^{(50,49)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{115}^{(51,50)}(t)+U_{116}^{(51,54)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{118}^{(52,56)}(t)+U_{117}^{(52,43)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{119}^{(53,47)}(t)+U_{120}^{(53,60)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,54}(U_{122}^{(54,64)}(t)+U_{121}^{(54,51)}(t))\\sigma_{54}^{X} + \\Omega_{d,55}(U_{123}^{(55,56)}(t))\\sigma_{55}^{X} \\\\ & + \\Omega_{d,56}(U_{126}^{(56,57)}(t)+U_{124}^{(56,52)}(t)+U_{125}^{(56,55)}(t))\\sigma_{56}^{X} + \\Omega_{d,57}(U_{127}^{(57,56)}(t)+U_{128}^{(57,58)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{130}^{(58,59)}(t)+U_{129}^{(58,57)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{131}^{(59,58)}(t)+U_{132}^{(59,60)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{134}^{(60,59)}(t)+U_{135}^{(60,61)}(t)+U_{133}^{(60,53)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{137}^{(61,62)}(t)+U_{136}^{(61,60)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,62}(U_{139}^{(62,63)}(t)+U_{138}^{(62,61)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{140}^{(63,62)}(t)+U_{141}^{(63,64)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{143}^{(64,63)}(t)+U_{142}^{(64,54)}(t))\\sigma_{64}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,64,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,64,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,64,-delta{i}/2*O{i}]", "_SUM[i,0,64,omegad{i}*X{i}||D{i}]", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq36q37*Sp36*Sm37", "jq36q37*Sm36*Sp37", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq34q35*Sp34*Sm35", "jq34q35*Sm34*Sp35", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq23q26*Sp23*Sm26", "jq23q26*Sm23*Sp26", "jq0q10*Sp0*Sm10", "jq0q10*Sm0*Sp10", "jq51q54*Sp51*Sm54", "jq51q54*Sm51*Sp54", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq32q33*Sp32*Sm33", "jq32q33*Sm32*Sp33", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq47q53*Sp47*Sm53", "jq47q53*Sm47*Sp53", "jq39q45*Sp39*Sm45", "jq39q45*Sm39*Sp45", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq35q40*Sp35*Sm40", "jq35q40*Sm35*Sp40", "jq19q25*Sp19*Sm25", "jq19q25*Sm19*Sp25", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq35q36*Sp35*Sm36", "jq35q36*Sm35*Sp36", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq12q21*Sp12*Sm21", "jq12q21*Sm12*Sp21", "jq38q41*Sp38*Sm41", "jq38q41*Sm38*Sp41", "jq31q39*Sp31*Sm39", "jq31q39*Sm31*Sp39", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq10q13*Sp10*Sm13", "jq10q13*Sm10*Sp13", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq26q37*Sp26*Sm37", "jq26q37*Sm26*Sp37", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq14q15*Sp14*Sm15", "jq14q15*Sm14*Sp15", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq40q49*Sp40*Sm49", "jq40q49*Sm40*Sp49", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq55q56*Sp55*Sm56", "jq55q56*Sm55*Sp56", "jq4q11*Sp4*Sm11", "jq4q11*Sm4*Sp11", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq33q34*Sp33*Sm34", "jq33q34*Sm33*Sp34", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq11q17*Sp11*Sm17", "jq11q17*Sm11*Sp17", "jq15q24*Sp15*Sm24", "jq15q24*Sm15*Sp24", "jq8q12*Sp8*Sm12", "jq8q12*Sm8*Sp12", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq24q29*Sp24*Sm29", "jq24q29*Sm24*Sp29", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq27q38*Sp27*Sm38", "jq27q38*Sm27*Sp38", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq43q52*Sp43*Sm52", "jq43q52*Sm43*Sp52", "jq25q33*Sp25*Sm33", "jq25q33*Sm25*Sp33", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "omegad1*X0||U0", "omegad10*X0||U1", "omegad0*X1||U2", "omegad2*X1||U3", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad5*X4||U9", "omegad3*X4||U8", "omegad11*X4||U10", "omegad4*X5||U11", "omegad6*X5||U12", "omegad7*X6||U14", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X8||U19", "omegad9*X8||U18", "omegad7*X8||U17", "omegad8*X9||U20", "omegad0*X10||U21", "omegad13*X10||U22", "omegad4*X11||U23", "omegad17*X11||U24", "omegad21*X12||U26", "omegad8*X12||U25", "omegad10*X13||U27", "omegad14*X13||U28", "omegad15*X14||U30", "omegad13*X14||U29", "omegad24*X15||U33", "omegad14*X15||U31", "omegad16*X15||U32", "omegad15*X16||U34", "omegad17*X16||U35", "omegad18*X17||U38", "omegad16*X17||U37", "omegad11*X17||U36", "omegad19*X18||U40", "omegad17*X18||U39", "omegad18*X19||U41", "omegad25*X19||U43", "omegad20*X19||U42", "omegad21*X20||U45", "omegad19*X20||U44", "omegad20*X21||U47", "omegad12*X21||U46", "omegad22*X21||U48", "omegad23*X22||U50", "omegad21*X22||U49", "omegad26*X23||U52", "omegad22*X23||U51", "omegad15*X24||U53", "omegad29*X24||U54", "omegad33*X25||U56", "omegad19*X25||U55", "omegad37*X26||U58", "omegad23*X26||U57", "omegad28*X27||U59", "omegad38*X27||U60", "omegad29*X28||U62", "omegad27*X28||U61", "omegad24*X29||U63", "omegad30*X29||U65", "omegad28*X29||U64", "omegad31*X30||U67", "omegad29*X30||U66", "omegad39*X31||U70", "omegad30*X31||U68", "omegad32*X31||U69", "omegad33*X32||U72", "omegad31*X32||U71", "omegad32*X33||U74", "omegad34*X33||U75", "omegad25*X33||U73", "omegad33*X34||U76", "omegad35*X34||U77", "omegad36*X35||U79", "omegad34*X35||U78", "omegad40*X35||U80", "omegad37*X36||U82", "omegad35*X36||U81", "omegad26*X37||U83", "omegad36*X37||U84", "omegad41*X38||U86", "omegad27*X38||U85", "omegad45*X39||U88", "omegad31*X39||U87", "omegad35*X40||U89", "omegad49*X40||U90", "omegad42*X41||U92", "omegad38*X41||U91", "omegad43*X42||U94", "omegad41*X42||U93", "omegad52*X43||U97", "omegad42*X43||U95", "omegad44*X43||U96", "omegad43*X44||U98", "omegad45*X44||U99", "omegad44*X45||U101", "omegad39*X45||U100", "omegad46*X45||U102", "omegad45*X46||U103", "omegad47*X46||U104", "omegad48*X47||U106", "omegad46*X47||U105", "omegad53*X47||U107", "omegad49*X48||U109", "omegad47*X48||U108", "omegad48*X49||U111", "omegad40*X49||U110", "omegad50*X49||U112", "omegad51*X50||U114", "omegad49*X50||U113", "omegad50*X51||U115", "omegad54*X51||U116", "omegad56*X52||U118", "omegad43*X52||U117", "omegad47*X53||U119", "omegad60*X53||U120", "omegad64*X54||U122", "omegad51*X54||U121", "omegad56*X55||U123", "omegad57*X56||U126", "omegad52*X56||U124", "omegad55*X56||U125", "omegad56*X57||U127", "omegad58*X57||U128", "omegad59*X58||U130", "omegad57*X58||U129", "omegad58*X59||U131", "omegad60*X59||U132", "omegad59*X60||U134", "omegad61*X60||U135", "omegad53*X60||U133", "omegad62*X61||U137", "omegad60*X61||U136", "omegad63*X62||U139", "omegad61*X62||U138", "omegad62*X63||U140", "omegad64*X63||U141", "omegad63*X64||U143", "omegad54*X64||U142"], "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}, "vars": {"delta0": -2.082409528201026, "delta1": -2.108692153903296, 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