0. Sector contract vs full contract (L=6, gamma*M=0.3, tau=0.2): max |eig diff| = 3.66e-15 L = 8, N_f = 1, n = 1/L, t_f = 1, eps_1 = 0.5858, ell_0 = 0.65625, K_L = 0.6562, Xi = -0.1667 gamma = 0.010 (N_f*kappa_k = gamma*M_k*L/t_f = 0.080, 0.112) k sig d_sig tau/d |E''/(2tau^2 J)-1| E''/(5.6)-1 tau^2 mu-Cost pred(5.7) -C_even E''dW/(tau^2F)-1 pred g_sig*Xi 0 +1 2.500e-03 4.0e-03 6.2e-13 (tau=d/5: 4.5e-11) -9.29e-08 +8.2444e-06 +8.2031e-06 +8.2033e-06 -1.7575e-03 -1.6667e-03 0 -1 2.500e-03 4.0e-03 6.8e-14 (tau=d/5: 4.6e-11) +9.46e-08 +8.1623e-06 +8.2031e-06 +8.2033e-06 +1.5753e-03 +1.6667e-03 1 +1 3.500e-03 2.9e-03 3.6e-13 (tau=d/5: 1.8e-10) -2.54e-07 +1.6192e-05 +1.6078e-05 +1.6079e-05 -2.5111e-03 -2.3333e-03 1 -1 3.500e-03 2.9e-03 6.2e-13 (tau=d/5: 1.7e-10) +2.61e-07 +1.5966e-05 +1.6078e-05 +1.6079e-05 +2.1540e-03 +2.3333e-03 item 2: level difference of tau^2 mu - Cost (k=1 minus k=0, sig=+): +7.9472e-06, pred +7.8750e-06 item 2: branch differences tau^2(mu_+ - mu_-) - (Cost_+ - Cost_-), k=0,1: +8.20e-08, +2.25e-07 (vs Cost_+ - Cost_- = 2.500e-03, 3.500e-03) item 3: E''dW/tau^2 over (k,sig): min -3.75808e-01 max -3.74058e-01, leading F = -3.75000e-01; max |dW - (F C + F2 C^2)| = 8.0e-09 item 3: odd part of E''dW/(tau^2 F) over sig, k=0,1: -1.66638e-03 -2.33255e-03; pred gamma*M_k*Xi: -1.66667e-03 -2.33333e-03; even part minus 1: -9.11e-05 -1.79e-04 gamma = 0.020 (N_f*kappa_k = gamma*M_k*L/t_f = 0.160, 0.224) k sig d_sig tau/d |E''/(2tau^2 J)-1| E''/(5.6)-1 tau^2 mu-Cost pred(5.7) -C_even E''dW/(tau^2F)-1 pred g_sig*Xi 0 +1 5.001e-03 2.0e-03 6.8e-14 (tau=d/5: 7.4e-10) -7.36e-07 +3.3145e-05 +3.2812e-05 +3.2815e-05 -3.6953e-03 -3.3333e-03 0 -1 5.001e-03 2.0e-03 4.3e-13 (tau=d/5: 7.2e-10) +7.64e-07 +3.2488e-05 +3.2812e-05 +3.2815e-05 +2.9668e-03 +3.3333e-03 1 +1 7.002e-03 1.4e-03 3.5e-13 (tau=d/5: 2.9e-09) -2.01e-06 +6.5229e-05 +6.4312e-05 +6.4320e-05 -5.3744e-03 -4.6667e-03 1 -1 7.002e-03 1.4e-03 4.5e-13 (tau=d/5: 2.8e-09) +2.11e-06 +6.3426e-05 +6.4312e-05 +6.4320e-05 +3.9464e-03 +4.6667e-03 item 2: level difference of tau^2 mu - Cost (k=1 minus k=0, sig=+): +3.2084e-05, pred +3.1500e-05 item 2: branch differences tau^2(mu_+ - mu_-) - (Cost_+ - Cost_-), k=0,1: +6.57e-07, +1.80e-06 (vs Cost_+ - Cost_- = 5.001e-03, 7.002e-03) item 3: E''dW/tau^2 over (k,sig): min -3.76480e-01 max -3.72985e-01, leading F = -3.75000e-01; max |dW - (F C + F2 C^2)| = 6.6e-08 item 3: odd part of E''dW/(tau^2 F) over sig, k=0,1: -3.33105e-03 -4.66041e-03; pred gamma*M_k*Xi: -3.33333e-03 -4.66667e-03; even part minus 1: -3.64e-04 -7.14e-04 gamma = 0.300 (N_f*kappa_k = gamma*M_k*L/t_f = 2.400, 3.360) k sig d_sig tau/d |E''/(2tau^2 J)-1| E''/(5.6)-1 tau^2 mu-Cost pred(5.7) -C_even E''dW/(tau^2F)-1 pred g_sig*Xi 0 +1 7.721e-02 1.3e-04 2.0e-11 (tau=d/5: 4.7e-05) -2.06e-03 +8.8141e-03 +7.3828e-03 +7.4816e-03 -1.2343e-01 -5.0000e-02 0 -1 7.721e-02 1.3e-04 1.4e-11 (tau=d/5: 3.4e-05) +3.58e-03 +6.3737e-03 +7.3828e-03 +7.4816e-03 -3.7490e-02 +5.0000e-02 1 +1 1.110e-01 9.0e-05 4.3e-11 (tau=d/5: 2.1e-04) -5.47e-03 +1.9021e-02 +1.4470e-02 +1.4838e-02 -2.0696e-01 -7.0000e-02 1 -1 1.110e-01 9.0e-05 2.6e-11 (tau=d/5: 1.3e-04) +1.17e-02 +1.1668e-02 +1.4470e-02 +1.4838e-02 -1.0217e-01 +7.0000e-02 item 2: level difference of tau^2 mu - Cost (k=1 minus k=0, sig=+): +1.0207e-02, pred +7.0875e-03 item 2: branch differences tau^2(mu_+ - mu_-) - (Cost_+ - Cost_-), k=0,1: +2.44e-03, +7.35e-03 (vs Cost_+ - Cost_- = 7.721e-02, 1.110e-01) item 3: E''dW/tau^2 over (k,sig): min -3.60941e-01 max -2.97389e-01, leading F = -3.75000e-01; max |dW - (F C + F2 C^2)| = 6.5e-04 item 3: odd part of E''dW/(tau^2 F) over sig, k=0,1: -4.29681e-02 -5.23942e-02; pred gamma*M_k*Xi: -5.00000e-02 -7.00000e-02; even part minus 1: -8.05e-02 -1.55e-01 L = 13, N_f = 1, n = 1/L, t_f = 1, eps_1 = 0.2291, ell_0 = 1.07692, K_L = 1.8225, Xi = -0.8077 gamma = 0.010 (N_f*kappa_k = gamma*M_k*L/t_f = 0.130, 0.182) k sig d_sig tau/d |E''/(2tau^2 J)-1| E''/(5.6)-1 tau^2 mu-Cost pred(5.7) -C_even E''dW/(tau^2F)-1 pred g_sig*Xi 0 +1 1.539e-03 6.5e-03 2.4e-14 (tau=d/5: 1.4e-10) -5.04e-07 +8.3549e-06 +8.2840e-06 +8.2844e-06 -8.2471e-03 -8.0769e-03 0 -1 1.539e-03 6.5e-03 1.9e-13 (tau=d/5: 1.3e-10) +5.18e-07 +8.2147e-06 +8.2840e-06 +8.2844e-06 +7.9033e-03 +8.0769e-03 1 +1 2.154e-03 4.6e-03 2.4e-14 (tau=d/5: 5.2e-10) -1.38e-06 +1.6432e-05 +1.6237e-05 +1.6238e-05 -1.1640e-02 -1.1308e-02 1 -1 2.154e-03 4.6e-03 6.0e-13 (tau=d/5: 5.1e-10) +1.43e-06 +1.6047e-05 +1.6237e-05 +1.6238e-05 +1.0966e-02 +1.1308e-02 item 2: level difference of tau^2 mu - Cost (k=1 minus k=0, sig=+): +8.0773e-06, pred +7.9527e-06 item 2: branch differences tau^2(mu_+ - mu_-) - (Cost_+ - Cost_-), k=0,1: +1.40e-07, +3.85e-07 (vs Cost_+ - Cost_- = 1.539e-03, 2.154e-03) item 3: E''dW/tau^2 over (k,sig): min -6.22133e-01 max -6.08222e-01, leading F = -6.15385e-01; max |dW - (F C + F2 C^2)| = 3.1e-08 item 3: odd part of E''dW/(tau^2 F) over sig, k=0,1: -8.07519e-03 -1.13029e-02; pred gamma*M_k*Xi: -8.07692e-03 -1.13077e-02; even part minus 1: -1.72e-04 -3.37e-04 gamma = 0.020 (N_f*kappa_k = gamma*M_k*L/t_f = 0.260, 0.364) k sig d_sig tau/d |E''/(2tau^2 J)-1| E''/(5.6)-1 tau^2 mu-Cost pred(5.7) -C_even E''dW/(tau^2F)-1 pred g_sig*Xi 0 +1 3.078e-03 3.2e-03 1.4e-12 (tau=d/5: 2.2e-09) -3.98e-06 +3.3710e-05 +3.3136e-05 +3.3143e-05 -1.6828e-02 -1.6154e-02 0 -1 3.078e-03 3.2e-03 1.4e-12 (tau=d/5: 2.1e-09) +4.20e-06 +3.2587e-05 +3.3136e-05 +3.3143e-05 +1.5452e-02 +1.6154e-02 1 +1 4.311e-03 2.3e-03 1.3e-12 (tau=d/5: 8.5e-09) -1.08e-05 +6.6538e-05 +6.4947e-05 +6.4971e-05 -2.3925e-02 -2.2615e-02 1 -1 4.311e-03 2.3e-03 1.4e-12 (tau=d/5: 8.1e-09) +1.17e-05 +6.3454e-05 +6.4947e-05 +6.4971e-05 +2.1229e-02 +2.2615e-02 item 2: level difference of tau^2 mu - Cost (k=1 minus k=0, sig=+): +3.2828e-05, pred +3.1811e-05 item 2: branch differences tau^2(mu_+ - mu_-) - (Cost_+ - Cost_-), k=0,1: +1.12e-06, +3.08e-06 (vs Cost_+ - Cost_- = 3.078e-03, 4.311e-03) item 3: E''dW/tau^2 over (k,sig): min -6.28449e-01 max -6.00661e-01, leading F = -6.15385e-01; max |dW - (F C + F2 C^2)| = 2.5e-07 item 3: odd part of E''dW/(tau^2 F) over sig, k=0,1: -1.61400e-02 -2.25773e-02; pred gamma*M_k*Xi: -1.61538e-02 -2.26154e-02; even part minus 1: -6.88e-04 -1.35e-03 gamma = 0.300 (N_f*kappa_k = gamma*M_k*L/t_f = 3.900, 5.460) k sig d_sig tau/d |E''/(2tau^2 J)-1| E''/(5.6)-1 tau^2 mu-Cost pred(5.7) -C_even E''dW/(tau^2F)-1 pred g_sig*Xi 0 +1 4.994e-02 2.0e-04 1.9e-10 (tau=d/5: 1.9e-04) -1.13e-02 +1.0712e-02 +7.4556e-03 +7.7631e-03 -3.5532e-01 -2.4231e-01 0 -1 4.994e-02 2.0e-04 9.6e-11 (tau=d/5: 9.4e-05) +2.48e-02 +5.7983e-03 +7.4556e-03 +7.7631e-03 +4.5096e-02 +2.4231e-01 1 +1 7.497e-02 1.3e-04 4.8e-10 (tau=d/5: 1.1e-03) -3.34e-02 +2.7503e-02 +1.4613e-02 +1.5723e-02 -5.3528e-01 -3.3923e-01 1 -1 7.497e-02 1.3e-04 1.6e-10 (tau=d/5: 3.5e-04) +9.67e-02 +9.7896e-03 +1.4613e-02 +1.5723e-02 -6.1963e-02 +3.3923e-01 item 2: level difference of tau^2 mu - Cost (k=1 minus k=0, sig=+): +1.6791e-02, pred +7.1574e-03 item 2: branch differences tau^2(mu_+ - mu_-) - (Cost_+ - Cost_-), k=0,1: +4.91e-03, +1.77e-02 (vs Cost_+ - Cost_- = 4.994e-02, 7.497e-02) item 3: E''dW/tau^2 over (k,sig): min -6.43136e-01 max -2.85982e-01, leading F = -6.15385e-01; max |dW - (F C + F2 C^2)| = 1.6e-03 item 3: odd part of E''dW/(tau^2 F) over sig, k=0,1: -2.00207e-01 -2.36658e-01; pred gamma*M_k*Xi: -2.42308e-01 -3.39231e-01; even part minus 1: -1.55e-01 -2.99e-01