Reduced Wannier functions with Wannier#
In this tutorial we give a hands-on introduction to the reduced Wannier construction, which resolves the topological obstruction to exponentially localized Wannier functions by working in an enlarged (supercell) Hilbert subspace. Following the approach of Cole & Vanderbilt, Reduced Wannier representation for topological bands, Phys. Rev. B 111, 205139 (2025), we illustrate the method on the Haldane model and show how disentanglement plus maximal localization yields smooth, localized orbitals even when the primitive-cell bands carry nontrivial topology. This tutorial will make use of the Wannier class in pythtb, which implements the reduced Wannier construction as well as the maximal localization and disentanglement procedures.
See also
T. Cole and D. Vanderbilt, “Reduced Wannier representation for topological bands”, PRB 111, 205139 (2025). arXiv:2412.17084
from pythtb import Mesh, Wannier, WFArray
from pythtb.models import haldane
import numpy as np
Haldane model supercell construction#
We begin by constructing the Haldane model in the topological phase, in which case the non-zero Chern number of the occupied bands enforces a topological obstruction to constructing exponentially localized Wannier functions that respect the lattice symmetries.
# tight-binding parameters
delta = 1
t1 = 1
t2 = -0.4
prim_model = haldane(delta, t1, t2)
print(f"Chern number: {prim_model.chern_number((0, 1), (20, 20)):0.3f}")
Chern number: 1.000
To circumvent the obstruction, we use the procedure of constructing “reduced Wannier” functions that are localized in a smaller subspace of the original Hilbert space. Since the occupied space is one-dimensional, there exists no subspace. This is why we must construct a supercell, folding the bands back into the first Brillouin zone, to obtain more occupied bands to choose from. Here we will use a 2x2 supercell, which will give us 4 occupied bands to work with.
n_super_cell = 2
model = prim_model.make_supercell([[n_super_cell, 0], [0, n_super_cell]])
model.info(show=True, short=False)
Show code cell output
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----------------------------------------
Tight-binding model report
----------------------------------------
r-space dimension = 2
k-space dimension = 2
periodic directions = [0, 1]
spinful = False
number of spin components = 1
number of electronic states = 8
number of orbitals = 8
Lattice vectors (Cartesian):
# 0 ===> [ 2.000, 0.000]
# 1 ===> [ 1.000, 1.732]
Volume of unit cell (Cartesian) = 3.464 [A^d]
Reciprocal lattice vectors (Cartesian):
# 0 ===> [ 3.142, -1.814]
# 1 ===> [ 0.000, 3.628]
Volume of reciprocal unit cell = 11.396 [A^-d]
Orbital vectors (Cartesian):
# 0 ===> [ 0.500, 0.289]
# 1 ===> [ 1.000, 0.577]
# 2 ===> [ 1.000, 1.155]
# 3 ===> [ 1.500, 1.443]
# 4 ===> [ 1.500, 0.289]
# 5 ===> [ 2.000, 0.577]
# 6 ===> [ 2.000, 1.155]
# 7 ===> [ 2.500, 1.443]
Orbital vectors (fractional):
# 0 ===> [ 0.167, 0.167]
# 1 ===> [ 0.333, 0.333]
# 2 ===> [ 0.167, 0.667]
# 3 ===> [ 0.333, 0.833]
# 4 ===> [ 0.667, 0.167]
# 5 ===> [ 0.833, 0.333]
# 6 ===> [ 0.667, 0.667]
# 7 ===> [ 0.833, 0.833]
----------------------------------------
Site energies:
< 0 | H | 0 > = -1.000
< 1 | H | 1 > = 1.000
< 2 | H | 2 > = -1.000
< 3 | H | 3 > = 1.000
< 4 | H | 4 > = -1.000
< 5 | H | 5 > = 1.000
< 6 | H | 6 > = -1.000
< 7 | H | 7 > = 1.000
Hoppings:
< 0 | H | 1 + [ 0.0 , 0.0 ] > = 1.0000+0.0000j
< 0 | H | 5 + [-1.0 , 0.0 ] > = 1.0000+0.0000j
< 0 | H | 3 + [ 0.0 , -1.0 ] > = 1.0000+0.0000j
< 0 | H | 4 + [ 0.0 , 0.0 ] > = -0.0000-0.4000j
< 0 | H | 6 + [-1.0 , 0.0 ] > = -0.0000-0.4000j
< 0 | H | 2 + [ 0.0 , -1.0 ] > = -0.0000-0.4000j
< 1 | H | 5 + [-1.0 , 0.0 ] > = -0.0000-0.4000j
< 1 | H | 7 + [ 0.0 , -1.0 ] > = -0.0000-0.4000j
< 1 | H | 3 + [ 0.0 , 0.0 ] > = -0.0000-0.4000j
< 2 | H | 3 + [ 0.0 , 0.0 ] > = 1.0000+0.0000j
< 2 | H | 7 + [-1.0 , 0.0 ] > = 1.0000+0.0000j
< 2 | H | 1 + [ 0.0 , 0.0 ] > = 1.0000+0.0000j
< 2 | H | 6 + [ 0.0 , 0.0 ] > = -0.0000-0.4000j
< 2 | H | 4 + [-1.0 , 1.0 ] > = -0.0000-0.4000j
< 2 | H | 0 + [ 0.0 , 0.0 ] > = -0.0000-0.4000j
< 3 | H | 7 + [-1.0 , 0.0 ] > = -0.0000-0.4000j
< 3 | H | 5 + [ 0.0 , 0.0 ] > = -0.0000-0.4000j
< 3 | H | 1 + [ 0.0 , 1.0 ] > = -0.0000-0.4000j
< 4 | H | 5 + [ 0.0 , 0.0 ] > = 1.0000+0.0000j
< 4 | H | 1 + [ 0.0 , 0.0 ] > = 1.0000+0.0000j
< 4 | H | 7 + [ 0.0 , -1.0 ] > = 1.0000+0.0000j
< 4 | H | 0 + [ 1.0 , 0.0 ] > = -0.0000-0.4000j
< 4 | H | 2 + [ 0.0 , 0.0 ] > = -0.0000-0.4000j
< 4 | H | 6 + [ 0.0 , -1.0 ] > = -0.0000-0.4000j
< 5 | H | 1 + [ 0.0 , 0.0 ] > = -0.0000-0.4000j
< 5 | H | 3 + [ 1.0 , -1.0 ] > = -0.0000-0.4000j
< 5 | H | 7 + [ 0.0 , 0.0 ] > = -0.0000-0.4000j
< 6 | H | 7 + [ 0.0 , 0.0 ] > = 1.0000+0.0000j
< 6 | H | 3 + [ 0.0 , 0.0 ] > = 1.0000+0.0000j
< 6 | H | 5 + [ 0.0 , 0.0 ] > = 1.0000+0.0000j
< 6 | H | 2 + [ 1.0 , 0.0 ] > = -0.0000-0.4000j
< 6 | H | 0 + [ 0.0 , 1.0 ] > = -0.0000-0.4000j
< 6 | H | 4 + [ 0.0 , 0.0 ] > = -0.0000-0.4000j
< 7 | H | 3 + [ 0.0 , 0.0 ] > = -0.0000-0.4000j
< 7 | H | 1 + [ 1.0 , 0.0 ] > = -0.0000-0.4000j
< 7 | H | 5 + [ 0.0 , 1.0 ] > = -0.0000-0.4000j
Hopping distances:
| pos( 0 ) - pos( 1 ) + [ 0.0 , 0.0 ] | = 0.577
| pos( 0 ) - pos( 5 ) + [-1.0 , 0.0 ] | = 0.577
| pos( 0 ) - pos( 3 ) + [ 0.0 , -1.0 ] | = 0.577
| pos( 0 ) - pos( 4 ) + [ 0.0 , 0.0 ] | = 1.000
| pos( 0 ) - pos( 6 ) + [-1.0 , 0.0 ] | = 1.000
| pos( 0 ) - pos( 2 ) + [ 0.0 , -1.0 ] | = 1.000
| pos( 1 ) - pos( 5 ) + [-1.0 , 0.0 ] | = 1.000
| pos( 1 ) - pos( 7 ) + [ 0.0 , -1.0 ] | = 1.000
| pos( 1 ) - pos( 3 ) + [ 0.0 , 0.0 ] | = 1.000
| pos( 2 ) - pos( 3 ) + [ 0.0 , 0.0 ] | = 0.577
| pos( 2 ) - pos( 7 ) + [-1.0 , 0.0 ] | = 0.577
| pos( 2 ) - pos( 1 ) + [ 0.0 , 0.0 ] | = 0.577
| pos( 2 ) - pos( 6 ) + [ 0.0 , 0.0 ] | = 1.000
| pos( 2 ) - pos( 4 ) + [-1.0 , 1.0 ] | = 1.000
| pos( 2 ) - pos( 0 ) + [ 0.0 , 0.0 ] | = 1.000
| pos( 3 ) - pos( 7 ) + [-1.0 , 0.0 ] | = 1.000
| pos( 3 ) - pos( 5 ) + [ 0.0 , 0.0 ] | = 1.000
| pos( 3 ) - pos( 1 ) + [ 0.0 , 1.0 ] | = 1.000
| pos( 4 ) - pos( 5 ) + [ 0.0 , 0.0 ] | = 0.577
| pos( 4 ) - pos( 1 ) + [ 0.0 , 0.0 ] | = 0.577
| pos( 4 ) - pos( 7 ) + [ 0.0 , -1.0 ] | = 0.577
| pos( 4 ) - pos( 0 ) + [ 1.0 , 0.0 ] | = 1.000
| pos( 4 ) - pos( 2 ) + [ 0.0 , 0.0 ] | = 1.000
| pos( 4 ) - pos( 6 ) + [ 0.0 , -1.0 ] | = 1.000
| pos( 5 ) - pos( 1 ) + [ 0.0 , 0.0 ] | = 1.000
| pos( 5 ) - pos( 3 ) + [ 1.0 , -1.0 ] | = 1.000
| pos( 5 ) - pos( 7 ) + [ 0.0 , 0.0 ] | = 1.000
| pos( 6 ) - pos( 7 ) + [ 0.0 , 0.0 ] | = 0.577
| pos( 6 ) - pos( 3 ) + [ 0.0 , 0.0 ] | = 0.577
| pos( 6 ) - pos( 5 ) + [ 0.0 , 0.0 ] | = 0.577
| pos( 6 ) - pos( 2 ) + [ 1.0 , 0.0 ] | = 1.000
| pos( 6 ) - pos( 0 ) + [ 0.0 , 1.0 ] | = 1.000
| pos( 6 ) - pos( 4 ) + [ 0.0 , 0.0 ] | = 1.000
| pos( 7 ) - pos( 3 ) + [ 0.0 , 0.0 ] | = 1.000
| pos( 7 ) - pos( 1 ) + [ 1.0 , 0.0 ] | = 1.000
| pos( 7 ) - pos( 5 ) + [ 0.0 , 1.0 ] | = 1.000
We construct the WFArray and diagonalize the model on a semi-full k-mesh. It is important that the mesh not include the endpoints \(k_i=1\), which correspond to the boundaries of the Brillouin zone. The Fourier transform requires a well-defined periodicity, which is disrupted by including these points. Therefore, we will use a k-mesh that spans the interior of the Brillouin zone, avoiding the boundaries. This is the default behavior of Mesh.build_grid.
.. note::
The Mesh.build_grid function automatically imposes periodic boundary conditions on the k-mesh. We can also explicitly state that the k-mesh is periodic, with the topology of a torus, we can use the Mesh.wind_bz function, specifying the mesh axis and k-component that is wrapped. Here, it is not necessary since the Mesh.build_grid function already does this for us. In other cases where we use a custom k-mesh, we may need to use Mesh.wind_bz to impose periodic boundary conditions.
nks = 20, 20 # number of k points along each dimension
mesh = Mesh(dim_k=2, axis_types=["k", "k"])
mesh.build_grid(shape=nks)
print(mesh)
Mesh Summary
========================================
Type: grid
Dimensionality: 2 k-dim(s) + 0 λ-dim(s)
Number of mesh points: 400
Full shape: (20, 20, 2)
k-axes: [Axis(type=k, name=k_0, size=20), Axis(type=k, name=k_1, size=20)]
λ-axes: []
Is a torus in k-space (all k-axes wind BZ): yes
Loops: (axis 0, comp 0, winds_bz=yes, closed=no), (axis 1, comp 1, winds_bz=yes, closed=no)
Now we pass this mesh to the WFArray constructor and solve the mesh.
wfa = WFArray(model.lattice, mesh)
wfa.solve_model(model)
We know that Wannierizing the full set of 4 occupied bands is obstructed by the topology of the band structure. We can try the next best thing and Wannierize a 3-dimensional subspace. To do this, we will choose a set of three trial wavefunctions centered on 3 of the low energy orbitals, where we would expect the localized Wannier functions of the trivial occupied bands to be located
n_orb = model.norb # number of orbitals
n_occ = int(n_orb / 2) # number of occupied bands (assume half-filling)
low_E_sites = np.arange(
0, n_orb, 2
) # low-energy sites defined to be indexed by even numbers
high_E_sites = np.arange(
1, n_orb, 2
) # high-energy sites defined to be indexed by odd numbers
omit_site = 6 # omitting one of the low energy sites
sites = list(np.setdiff1d(low_E_sites, [omit_site]))
tf_list = [
[(orb, 1)] for orb in sites
] # trial wavefunctions in form of [(orbital index, weight)]
n_tfs = len(tf_list)
print(f"Trial wavefunctions: {tf_list}")
print(f"# of Wannier functions: {n_tfs}")
print(f"# of occupied bands: {n_occ}")
print(f"Wannier fraction: {n_tfs / n_occ}")
Trial wavefunctions: [[(np.int64(0), 1)], [(np.int64(2), 1)], [(np.int64(4), 1)]]
# of Wannier functions: 3
# of occupied bands: 4
Wannier fraction: 0.75
Projection onto trial states#
Next, we initialize the Wannier object with the TBModel and WFArray objects. We initialize the Bloch-like states with project function which aligns the trial wavefunctions with the target bands specified by band_idxs.
WF = Wannier(wfa)
WF.project(tf_list, band_idxs=list(range(n_occ)))
This already gives us a set of Wannier functions that are exponentially localized, showing that this is a trivial subsapce of the obstructed manifold.
WF.info()
Wannier Function Report
===============================================================
WF 1: center = [0.50229186, 0.28999834] Omega = 0.27158248
WF 2: center = [1.00000000, 1.15205413] Omega = 0.27158248
WF 3: center = [1.49770814, 0.28999834] Omega = 0.27158248
Sum : center = [3.00000000, 1.73205081] Omega tot = 0.81474745
---------------------------------------------------------------
Omega I = 0.73887684
Omega D = 0.01751802
Omega OD = 0.05835260
Omega tot = 0.81474745
Disentanglement#
We can make these states even more localized with subspace selectio via the disentanglement procedure. This picks the subspace of the 4-band manfiold that minimizes the gauge-independent spread.
frozen_window = None # frozen window in energy
outer_window = [-4, 0] # outer window in energy
WF.disentangle(
n_wfs=3,
frozen_window=frozen_window,
outer_window=outer_window,
verbose=True,
tf_speedup=True,
max_iter=500,
tol=1e-10,
)
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Hide code cell output
Initial Omega_I: 0.7388768356161656
2026-01-29 22:07:44.837951: I external/local_xla/xla/tsl/cuda/cudart_stub.cc:31] Could not find cuda drivers on your machine, GPU will not be used.
2026-01-29 22:07:45.810468: I tensorflow/core/platform/cpu_feature_guard.cc:210] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.
To enable the following instructions: AVX2 FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.
2026-01-29 22:07:48.923029: I external/local_xla/xla/tsl/cuda/cudart_stub.cc:31] Could not find cuda drivers on your machine, GPU will not be used.
2026-01-29 22:07:49.871831: E external/local_xla/xla/stream_executor/cuda/cuda_platform.cc:51] failed call to cuInit: INTERNAL: CUDA error: Failed call to cuInit: UNKNOWN ERROR (303)
iter 0 | Ω_I = 7.351140494e-01 | ΔΩ = -3.76279e-03
iter 1 | Ω_I = 7.318596815e-01 | ΔΩ = -3.25437e-03
iter 2 | Ω_I = 7.289961356e-01 | ΔΩ = -2.86355e-03
iter 3 | Ω_I = 7.264328414e-01 | ΔΩ = -2.56329e-03
iter 4 | Ω_I = 7.241185974e-01 | ΔΩ = -2.31424e-03
iter 5 | Ω_I = 7.220103323e-01 | ΔΩ = -2.10827e-03
iter 6 | Ω_I = 7.200710526e-01 | ΔΩ = -1.93928e-03
iter 7 | Ω_I = 7.182755490e-01 | ΔΩ = -1.79550e-03
iter 8 | Ω_I = 7.165990625e-01 | ΔΩ = -1.67649e-03
iter 9 | Ω_I = 7.150320548e-01 | ΔΩ = -1.56701e-03
iter 10 | Ω_I = 7.135556239e-01 | ΔΩ = -1.47643e-03
iter 11 | Ω_I = 7.121521072e-01 | ΔΩ = -1.40352e-03
iter 12 | Ω_I = 7.108245691e-01 | ΔΩ = -1.32754e-03
iter 13 | Ω_I = 7.095575177e-01 | ΔΩ = -1.26705e-03
iter 14 | Ω_I = 7.083488803e-01 | ΔΩ = -1.20864e-03
iter 15 | Ω_I = 7.071858540e-01 | ΔΩ = -1.16303e-03
iter 16 | Ω_I = 7.060675910e-01 | ΔΩ = -1.11826e-03
iter 17 | Ω_I = 7.050005064e-01 | ΔΩ = -1.06708e-03
iter 18 | Ω_I = 7.039619886e-01 | ΔΩ = -1.03852e-03
iter 19 | Ω_I = 7.029631467e-01 | ΔΩ = -9.98842e-04
iter 20 | Ω_I = 7.019982639e-01 | ΔΩ = -9.64883e-04
iter 21 | Ω_I = 7.010588985e-01 | ΔΩ = -9.39365e-04
iter 22 | Ω_I = 7.001504193e-01 | ΔΩ = -9.08479e-04
iter 23 | Ω_I = 6.992690880e-01 | ΔΩ = -8.81331e-04
iter 24 | Ω_I = 6.984156596e-01 | ΔΩ = -8.53428e-04
iter 25 | Ω_I = 6.975782966e-01 | ΔΩ = -8.37363e-04
iter 26 | Ω_I = 6.967694219e-01 | ΔΩ = -8.08875e-04
iter 27 | Ω_I = 6.959804308e-01 | ΔΩ = -7.88991e-04
iter 28 | Ω_I = 6.952122763e-01 | ΔΩ = -7.68155e-04
iter 29 | Ω_I = 6.944609304e-01 | ΔΩ = -7.51346e-04
iter 30 | Ω_I = 6.937280811e-01 | ΔΩ = -7.32849e-04
iter 31 | Ω_I = 6.930141879e-01 | ΔΩ = -7.13893e-04
iter 32 | Ω_I = 6.923209290e-01 | ΔΩ = -6.93259e-04
iter 33 | Ω_I = 6.916377084e-01 | ΔΩ = -6.83221e-04
iter 34 | Ω_I = 6.909724645e-01 | ΔΩ = -6.65244e-04
iter 35 | Ω_I = 6.903273071e-01 | ΔΩ = -6.45157e-04
iter 36 | Ω_I = 6.896919573e-01 | ΔΩ = -6.35350e-04
iter 37 | Ω_I = 6.890686283e-01 | ΔΩ = -6.23329e-04
iter 38 | Ω_I = 6.884610011e-01 | ΔΩ = -6.07627e-04
iter 39 | Ω_I = 6.878678645e-01 | ΔΩ = -5.93137e-04
iter 40 | Ω_I = 6.872849874e-01 | ΔΩ = -5.82877e-04
iter 41 | Ω_I = 6.867206931e-01 | ΔΩ = -5.64294e-04
iter 42 | Ω_I = 6.861618134e-01 | ΔΩ = -5.58880e-04
iter 43 | Ω_I = 6.856198206e-01 | ΔΩ = -5.41993e-04
iter 44 | Ω_I = 6.850839801e-01 | ΔΩ = -5.35840e-04
iter 45 | Ω_I = 6.845642834e-01 | ΔΩ = -5.19697e-04
iter 46 | Ω_I = 6.840532308e-01 | ΔΩ = -5.11053e-04
iter 47 | Ω_I = 6.835531294e-01 | ΔΩ = -5.00101e-04
iter 48 | Ω_I = 6.830634860e-01 | ΔΩ = -4.89643e-04
iter 49 | Ω_I = 6.825843606e-01 | ΔΩ = -4.79125e-04
iter 50 | Ω_I = 6.821130550e-01 | ΔΩ = -4.71306e-04
iter 51 | Ω_I = 6.816538763e-01 | ΔΩ = -4.59179e-04
iter 52 | Ω_I = 6.812028385e-01 | ΔΩ = -4.51038e-04
iter 53 | Ω_I = 6.807626214e-01 | ΔΩ = -4.40217e-04
iter 54 | Ω_I = 6.803290359e-01 | ΔΩ = -4.33585e-04
iter 55 | Ω_I = 6.799048042e-01 | ΔΩ = -4.24232e-04
iter 56 | Ω_I = 6.794883574e-01 | ΔΩ = -4.16447e-04
iter 57 | Ω_I = 6.790818338e-01 | ΔΩ = -4.06524e-04
iter 58 | Ω_I = 6.786848590e-01 | ΔΩ = -3.96975e-04
iter 59 | Ω_I = 6.782916138e-01 | ΔΩ = -3.93245e-04
iter 60 | Ω_I = 6.779075802e-01 | ΔΩ = -3.84034e-04
iter 61 | Ω_I = 6.775312899e-01 | ΔΩ = -3.76290e-04
iter 62 | Ω_I = 6.771664848e-01 | ΔΩ = -3.64805e-04
iter 63 | Ω_I = 6.768035810e-01 | ΔΩ = -3.62904e-04
iter 64 | Ω_I = 6.764527167e-01 | ΔΩ = -3.50864e-04
iter 65 | Ω_I = 6.761041570e-01 | ΔΩ = -3.48560e-04
iter 66 | Ω_I = 6.757672704e-01 | ΔΩ = -3.36887e-04
iter 67 | Ω_I = 6.754306523e-01 | ΔΩ = -3.36618e-04
iter 68 | Ω_I = 6.751009108e-01 | ΔΩ = -3.29741e-04
iter 69 | Ω_I = 6.747852184e-01 | ΔΩ = -3.15692e-04
iter 70 | Ω_I = 6.744692997e-01 | ΔΩ = -3.15919e-04
iter 71 | Ω_I = 6.741600735e-01 | ΔΩ = -3.09226e-04
iter 72 | Ω_I = 6.738631847e-01 | ΔΩ = -2.96889e-04
iter 73 | Ω_I = 6.735655483e-01 | ΔΩ = -2.97636e-04
iter 74 | Ω_I = 6.732761364e-01 | ΔΩ = -2.89412e-04
iter 75 | Ω_I = 6.729909870e-01 | ΔΩ = -2.85149e-04
iter 76 | Ω_I = 6.727138696e-01 | ΔΩ = -2.77117e-04
iter 77 | Ω_I = 6.724382772e-01 | ΔΩ = -2.75592e-04
iter 78 | Ω_I = 6.721684772e-01 | ΔΩ = -2.69800e-04
iter 79 | Ω_I = 6.719066501e-01 | ΔΩ = -2.61827e-04
iter 80 | Ω_I = 6.716483472e-01 | ΔΩ = -2.58303e-04
iter 81 | Ω_I = 6.713987769e-01 | ΔΩ = -2.49570e-04
iter 82 | Ω_I = 6.711495259e-01 | ΔΩ = -2.49251e-04
iter 83 | Ω_I = 6.709093751e-01 | ΔΩ = -2.40151e-04
iter 84 | Ω_I = 6.706714238e-01 | ΔΩ = -2.37951e-04
iter 85 | Ω_I = 6.704366482e-01 | ΔΩ = -2.34776e-04
iter 86 | Ω_I = 6.702065527e-01 | ΔΩ = -2.30096e-04
iter 87 | Ω_I = 6.699809755e-01 | ΔΩ = -2.25577e-04
iter 88 | Ω_I = 6.697636203e-01 | ΔΩ = -2.17355e-04
iter 89 | Ω_I = 6.695455009e-01 | ΔΩ = -2.18119e-04
iter 90 | Ω_I = 6.693322297e-01 | ΔΩ = -2.13271e-04
iter 91 | Ω_I = 6.691288695e-01 | ΔΩ = -2.03360e-04
iter 92 | Ω_I = 6.689232960e-01 | ΔΩ = -2.05574e-04
iter 93 | Ω_I = 6.687228199e-01 | ΔΩ = -2.00476e-04
iter 94 | Ω_I = 6.685291717e-01 | ΔΩ = -1.93648e-04
iter 95 | Ω_I = 6.683355738e-01 | ΔΩ = -1.93598e-04
iter 96 | Ω_I = 6.681485396e-01 | ΔΩ = -1.87034e-04
iter 97 | Ω_I = 6.679663600e-01 | ΔΩ = -1.82180e-04
iter 98 | Ω_I = 6.677823446e-01 | ΔΩ = -1.84015e-04
iter 99 | Ω_I = 6.676043527e-01 | ΔΩ = -1.77992e-04
iter 100 | Ω_I = 6.674308058e-01 | ΔΩ = -1.73547e-04
iter 101 | Ω_I = 6.672612358e-01 | ΔΩ = -1.69570e-04
iter 102 | Ω_I = 6.670916237e-01 | ΔΩ = -1.69612e-04
iter 103 | Ω_I = 6.669279528e-01 | ΔΩ = -1.63671e-04
iter 104 | Ω_I = 6.667683869e-01 | ΔΩ = -1.59566e-04
iter 105 | Ω_I = 6.666095712e-01 | ΔΩ = -1.58816e-04
iter 106 | Ω_I = 6.664548606e-01 | ΔΩ = -1.54711e-04
iter 107 | Ω_I = 6.663021822e-01 | ΔΩ = -1.52678e-04
iter 108 | Ω_I = 6.661503988e-01 | ΔΩ = -1.51783e-04
iter 109 | Ω_I = 6.660059808e-01 | ΔΩ = -1.44418e-04
iter 110 | Ω_I = 6.658638689e-01 | ΔΩ = -1.42112e-04
iter 111 | Ω_I = 6.657204625e-01 | ΔΩ = -1.43406e-04
iter 112 | Ω_I = 6.655849276e-01 | ΔΩ = -1.35535e-04
iter 113 | Ω_I = 6.654506700e-01 | ΔΩ = -1.34258e-04
iter 114 | Ω_I = 6.653170361e-01 | ΔΩ = -1.33634e-04
iter 115 | Ω_I = 6.651841329e-01 | ΔΩ = -1.32903e-04
iter 116 | Ω_I = 6.650571562e-01 | ΔΩ = -1.26977e-04
iter 117 | Ω_I = 6.649347463e-01 | ΔΩ = -1.22410e-04
iter 118 | Ω_I = 6.648082426e-01 | ΔΩ = -1.26504e-04
iter 119 | Ω_I = 6.646880481e-01 | ΔΩ = -1.20195e-04
iter 120 | Ω_I = 6.645699789e-01 | ΔΩ = -1.18069e-04
iter 121 | Ω_I = 6.644549576e-01 | ΔΩ = -1.15021e-04
iter 122 | Ω_I = 6.643387958e-01 | ΔΩ = -1.16162e-04
iter 123 | Ω_I = 6.642264188e-01 | ΔΩ = -1.12377e-04
iter 124 | Ω_I = 6.641171587e-01 | ΔΩ = -1.09260e-04
iter 125 | Ω_I = 6.640110193e-01 | ΔΩ = -1.06139e-04
iter 126 | Ω_I = 6.639066304e-01 | ΔΩ = -1.04389e-04
iter 127 | Ω_I = 6.637998719e-01 | ΔΩ = -1.06758e-04
iter 128 | Ω_I = 6.636988624e-01 | ΔΩ = -1.01010e-04
iter 129 | Ω_I = 6.635999519e-01 | ΔΩ = -9.89105e-05
iter 130 | Ω_I = 6.635044212e-01 | ΔΩ = -9.55307e-05
iter 131 | Ω_I = 6.634054660e-01 | ΔΩ = -9.89552e-05
iter 132 | Ω_I = 6.633136052e-01 | ΔΩ = -9.18608e-05
iter 133 | Ω_I = 6.632237421e-01 | ΔΩ = -8.98631e-05
iter 134 | Ω_I = 6.631305171e-01 | ΔΩ = -9.32251e-05
iter 135 | Ω_I = 6.630407630e-01 | ΔΩ = -8.97540e-05
iter 136 | Ω_I = 6.629550702e-01 | ΔΩ = -8.56929e-05
iter 137 | Ω_I = 6.628667368e-01 | ΔΩ = -8.83333e-05
iter 138 | Ω_I = 6.627834180e-01 | ΔΩ = -8.33189e-05
iter 139 | Ω_I = 6.627003112e-01 | ΔΩ = -8.31068e-05
iter 140 | Ω_I = 6.626210841e-01 | ΔΩ = -7.92271e-05
iter 141 | Ω_I = 6.625434946e-01 | ΔΩ = -7.75895e-05
iter 142 | Ω_I = 6.624635901e-01 | ΔΩ = -7.99045e-05
iter 143 | Ω_I = 6.623860986e-01 | ΔΩ = -7.74915e-05
iter 144 | Ω_I = 6.623108255e-01 | ΔΩ = -7.52730e-05
iter 145 | Ω_I = 6.622395638e-01 | ΔΩ = -7.12618e-05
iter 146 | Ω_I = 6.621631358e-01 | ΔΩ = -7.64280e-05
iter 147 | Ω_I = 6.620917553e-01 | ΔΩ = -7.13805e-05
iter 148 | Ω_I = 6.620253816e-01 | ΔΩ = -6.63738e-05
iter 149 | Ω_I = 6.619574530e-01 | ΔΩ = -6.79285e-05
iter 150 | Ω_I = 6.618879179e-01 | ΔΩ = -6.95352e-05
iter 151 | Ω_I = 6.618259324e-01 | ΔΩ = -6.19854e-05
iter 152 | Ω_I = 6.617578303e-01 | ΔΩ = -6.81021e-05
iter 153 | Ω_I = 6.616944344e-01 | ΔΩ = -6.33959e-05
iter 154 | Ω_I = 6.616322527e-01 | ΔΩ = -6.21817e-05
iter 155 | Ω_I = 6.615738265e-01 | ΔΩ = -5.84262e-05
iter 156 | Ω_I = 6.615148032e-01 | ΔΩ = -5.90233e-05
iter 157 | Ω_I = 6.614535397e-01 | ΔΩ = -6.12635e-05
iter 158 | Ω_I = 6.613928599e-01 | ΔΩ = -6.06798e-05
iter 159 | Ω_I = 6.613376696e-01 | ΔΩ = -5.51903e-05
iter 160 | Ω_I = 6.612829891e-01 | ΔΩ = -5.46805e-05
iter 161 | Ω_I = 6.612265706e-01 | ΔΩ = -5.64185e-05
iter 162 | Ω_I = 6.611749495e-01 | ΔΩ = -5.16211e-05
iter 163 | Ω_I = 6.611241231e-01 | ΔΩ = -5.08264e-05
iter 164 | Ω_I = 6.610722388e-01 | ΔΩ = -5.18842e-05
iter 165 | Ω_I = 6.610176935e-01 | ΔΩ = -5.45453e-05
iter 166 | Ω_I = 6.609662317e-01 | ΔΩ = -5.14618e-05
iter 167 | Ω_I = 6.609232251e-01 | ΔΩ = -4.30066e-05
iter 168 | Ω_I = 6.608717302e-01 | ΔΩ = -5.14949e-05
iter 169 | Ω_I = 6.608267889e-01 | ΔΩ = -4.49413e-05
iter 170 | Ω_I = 6.607786995e-01 | ΔΩ = -4.80894e-05
iter 171 | Ω_I = 6.607331535e-01 | ΔΩ = -4.55460e-05
iter 172 | Ω_I = 6.606883889e-01 | ΔΩ = -4.47646e-05
iter 173 | Ω_I = 6.606464055e-01 | ΔΩ = -4.19834e-05
iter 174 | Ω_I = 6.606034729e-01 | ΔΩ = -4.29327e-05
iter 175 | Ω_I = 6.605583853e-01 | ΔΩ = -4.50876e-05
iter 176 | Ω_I = 6.605151061e-01 | ΔΩ = -4.32792e-05
iter 177 | Ω_I = 6.604742055e-01 | ΔΩ = -4.09006e-05
iter 178 | Ω_I = 6.604360311e-01 | ΔΩ = -3.81743e-05
iter 179 | Ω_I = 6.603953771e-01 | ΔΩ = -4.06540e-05
iter 180 | Ω_I = 6.603590359e-01 | ΔΩ = -3.63412e-05
iter 181 | Ω_I = 6.603205002e-01 | ΔΩ = -3.85357e-05
iter 182 | Ω_I = 6.602799493e-01 | ΔΩ = -4.05510e-05
iter 183 | Ω_I = 6.602440215e-01 | ΔΩ = -3.59277e-05
iter 184 | Ω_I = 6.602079793e-01 | ΔΩ = -3.60423e-05
iter 185 | Ω_I = 6.601754196e-01 | ΔΩ = -3.25596e-05
iter 186 | Ω_I = 6.601396872e-01 | ΔΩ = -3.57324e-05
iter 187 | Ω_I = 6.601040089e-01 | ΔΩ = -3.56783e-05
iter 188 | Ω_I = 6.600712687e-01 | ΔΩ = -3.27402e-05
iter 189 | Ω_I = 6.600380098e-01 | ΔΩ = -3.32589e-05
iter 190 | Ω_I = 6.600072737e-01 | ΔΩ = -3.07361e-05
iter 191 | Ω_I = 6.599741961e-01 | ΔΩ = -3.30776e-05
iter 192 | Ω_I = 6.599433577e-01 | ΔΩ = -3.08383e-05
iter 193 | Ω_I = 6.599120752e-01 | ΔΩ = -3.12825e-05
iter 194 | Ω_I = 6.598825006e-01 | ΔΩ = -2.95746e-05
iter 195 | Ω_I = 6.598538925e-01 | ΔΩ = -2.86081e-05
iter 196 | Ω_I = 6.598227295e-01 | ΔΩ = -3.11630e-05
iter 197 | Ω_I = 6.597937411e-01 | ΔΩ = -2.89884e-05
iter 198 | Ω_I = 6.597633192e-01 | ΔΩ = -3.04219e-05
iter 199 | Ω_I = 6.597356602e-01 | ΔΩ = -2.76590e-05
iter 200 | Ω_I = 6.597109548e-01 | ΔΩ = -2.47054e-05
iter 201 | Ω_I = 6.596791074e-01 | ΔΩ = -3.18474e-05
iter 202 | Ω_I = 6.596549527e-01 | ΔΩ = -2.41548e-05
iter 203 | Ω_I = 6.596295045e-01 | ΔΩ = -2.54482e-05
iter 204 | Ω_I = 6.596064601e-01 | ΔΩ = -2.30444e-05
iter 205 | Ω_I = 6.595765816e-01 | ΔΩ = -2.98785e-05
iter 206 | Ω_I = 6.595542686e-01 | ΔΩ = -2.23131e-05
iter 207 | Ω_I = 6.595288183e-01 | ΔΩ = -2.54502e-05
iter 208 | Ω_I = 6.595053132e-01 | ΔΩ = -2.35051e-05
iter 209 | Ω_I = 6.594824045e-01 | ΔΩ = -2.29087e-05
iter 210 | Ω_I = 6.594564269e-01 | ΔΩ = -2.59776e-05
iter 211 | Ω_I = 6.594397319e-01 | ΔΩ = -1.66950e-05
iter 212 | Ω_I = 6.594157935e-01 | ΔΩ = -2.39384e-05
iter 213 | Ω_I = 6.593955851e-01 | ΔΩ = -2.02084e-05
iter 214 | Ω_I = 6.593709732e-01 | ΔΩ = -2.46119e-05
iter 215 | Ω_I = 6.593516282e-01 | ΔΩ = -1.93450e-05
iter 216 | Ω_I = 6.593299931e-01 | ΔΩ = -2.16350e-05
iter 217 | Ω_I = 6.593117398e-01 | ΔΩ = -1.82533e-05
iter 218 | Ω_I = 6.592897827e-01 | ΔΩ = -2.19571e-05
iter 219 | Ω_I = 6.592705738e-01 | ΔΩ = -1.92089e-05
iter 220 | Ω_I = 6.592543450e-01 | ΔΩ = -1.62288e-05
iter 221 | Ω_I = 6.592343219e-01 | ΔΩ = -2.00231e-05
iter 222 | Ω_I = 6.592106282e-01 | ΔΩ = -2.36937e-05
iter 223 | Ω_I = 6.591940045e-01 | ΔΩ = -1.66237e-05
iter 224 | Ω_I = 6.591769140e-01 | ΔΩ = -1.70905e-05
iter 225 | Ω_I = 6.591598409e-01 | ΔΩ = -1.70731e-05
iter 226 | Ω_I = 6.591423417e-01 | ΔΩ = -1.74992e-05
iter 227 | Ω_I = 6.591217871e-01 | ΔΩ = -2.05546e-05
iter 228 | Ω_I = 6.591056496e-01 | ΔΩ = -1.61375e-05
iter 229 | Ω_I = 6.590918788e-01 | ΔΩ = -1.37708e-05
iter 230 | Ω_I = 6.590762469e-01 | ΔΩ = -1.56319e-05
iter 231 | Ω_I = 6.590596815e-01 | ΔΩ = -1.65654e-05
iter 232 | Ω_I = 6.590402475e-01 | ΔΩ = -1.94340e-05
iter 233 | Ω_I = 6.590262211e-01 | ΔΩ = -1.40264e-05
iter 234 | Ω_I = 6.590093966e-01 | ΔΩ = -1.68245e-05
iter 235 | Ω_I = 6.589910952e-01 | ΔΩ = -1.83014e-05
iter 236 | Ω_I = 6.589780762e-01 | ΔΩ = -1.30190e-05
iter 237 | Ω_I = 6.589617780e-01 | ΔΩ = -1.62982e-05
iter 238 | Ω_I = 6.589482405e-01 | ΔΩ = -1.35375e-05
iter 239 | Ω_I = 6.589351574e-01 | ΔΩ = -1.30830e-05
iter 240 | Ω_I = 6.589174961e-01 | ΔΩ = -1.76613e-05
iter 241 | Ω_I = 6.589101921e-01 | ΔΩ = -7.30406e-06
iter 242 | Ω_I = 6.588942915e-01 | ΔΩ = -1.59006e-05
iter 243 | Ω_I = 6.588820923e-01 | ΔΩ = -1.21992e-05
iter 244 | Ω_I = 6.588665882e-01 | ΔΩ = -1.55041e-05
iter 245 | Ω_I = 6.588531984e-01 | ΔΩ = -1.33898e-05
iter 246 | Ω_I = 6.588412936e-01 | ΔΩ = -1.19047e-05
iter 247 | Ω_I = 6.588271259e-01 | ΔΩ = -1.41677e-05
iter 248 | Ω_I = 6.588159208e-01 | ΔΩ = -1.12051e-05
iter 249 | Ω_I = 6.588016548e-01 | ΔΩ = -1.42660e-05
iter 250 | Ω_I = 6.587904737e-01 | ΔΩ = -1.11812e-05
iter 251 | Ω_I = 6.587791294e-01 | ΔΩ = -1.13443e-05
iter 252 | Ω_I = 6.587682051e-01 | ΔΩ = -1.09243e-05
iter 253 | Ω_I = 6.587572828e-01 | ΔΩ = -1.09223e-05
iter 254 | Ω_I = 6.587456582e-01 | ΔΩ = -1.16246e-05
iter 255 | Ω_I = 6.587351081e-01 | ΔΩ = -1.05500e-05
iter 256 | Ω_I = 6.587220743e-01 | ΔΩ = -1.30338e-05
iter 257 | Ω_I = 6.587117463e-01 | ΔΩ = -1.03281e-05
iter 258 | Ω_I = 6.587029643e-01 | ΔΩ = -8.78192e-06
iter 259 | Ω_I = 6.586897821e-01 | ΔΩ = -1.31822e-05
iter 260 | Ω_I = 6.586840592e-01 | ΔΩ = -5.72288e-06
iter 261 | Ω_I = 6.586730429e-01 | ΔΩ = -1.10163e-05
iter 262 | Ω_I = 6.586624730e-01 | ΔΩ = -1.05699e-05
iter 263 | Ω_I = 6.586484361e-01 | ΔΩ = -1.40369e-05
iter 264 | Ω_I = 6.586413169e-01 | ΔΩ = -7.11924e-06
iter 265 | Ω_I = 6.586329860e-01 | ΔΩ = -8.33089e-06
iter 266 | Ω_I = 6.586193787e-01 | ΔΩ = -1.36073e-05
iter 267 | Ω_I = 6.586134116e-01 | ΔΩ = -5.96712e-06
iter 268 | Ω_I = 6.586035996e-01 | ΔΩ = -9.81193e-06
iter 269 | Ω_I = 6.585906804e-01 | ΔΩ = -1.29193e-05
iter 270 | Ω_I = 6.585828110e-01 | ΔΩ = -7.86940e-06
iter 271 | Ω_I = 6.585747483e-01 | ΔΩ = -8.06270e-06
iter 272 | Ω_I = 6.585691690e-01 | ΔΩ = -5.57930e-06
iter 273 | Ω_I = 6.585552331e-01 | ΔΩ = -1.39359e-05
iter 274 | Ω_I = 6.585498396e-01 | ΔΩ = -5.39353e-06
iter 275 | Ω_I = 6.585423484e-01 | ΔΩ = -7.49121e-06
iter 276 | Ω_I = 6.585347707e-01 | ΔΩ = -7.57763e-06
iter 277 | Ω_I = 6.585249711e-01 | ΔΩ = -9.79965e-06
iter 278 | Ω_I = 6.585179276e-01 | ΔΩ = -7.04352e-06
iter 279 | Ω_I = 6.585114086e-01 | ΔΩ = -6.51895e-06
iter 280 | Ω_I = 6.585030388e-01 | ΔΩ = -8.36982e-06
iter 281 | Ω_I = 6.584937107e-01 | ΔΩ = -9.32813e-06
iter 282 | Ω_I = 6.584862176e-01 | ΔΩ = -7.49303e-06
iter 283 | Ω_I = 6.584806999e-01 | ΔΩ = -5.51773e-06
iter 284 | Ω_I = 6.584711454e-01 | ΔΩ = -9.55453e-06
iter 285 | Ω_I = 6.584642910e-01 | ΔΩ = -6.85433e-06
iter 286 | Ω_I = 6.584590462e-01 | ΔΩ = -5.24480e-06
iter 287 | Ω_I = 6.584471395e-01 | ΔΩ = -1.19067e-05
iter 288 | Ω_I = 6.584439538e-01 | ΔΩ = -3.18568e-06
iter 289 | Ω_I = 6.584344742e-01 | ΔΩ = -9.47968e-06
iter 290 | Ω_I = 6.584272566e-01 | ΔΩ = -7.21759e-06
iter 291 | Ω_I = 6.584231554e-01 | ΔΩ = -4.10119e-06
iter 292 | Ω_I = 6.584181313e-01 | ΔΩ = -5.02404e-06
iter 293 | Ω_I = 6.584091041e-01 | ΔΩ = -9.02720e-06
iter 294 | Ω_I = 6.584017135e-01 | ΔΩ = -7.39067e-06
iter 295 | Ω_I = 6.583950135e-01 | ΔΩ = -6.69998e-06
iter 296 | Ω_I = 6.583906983e-01 | ΔΩ = -4.31516e-06
iter 297 | Ω_I = 6.583858799e-01 | ΔΩ = -4.81841e-06
iter 298 | Ω_I = 6.583786579e-01 | ΔΩ = -7.22197e-06
iter 299 | Ω_I = 6.583680109e-01 | ΔΩ = -1.06471e-05
iter 300 | Ω_I = 6.583692690e-01 | ΔΩ = 1.25813e-06
Warning: Ω_I is increasing. Reducing beta to 0.99.
iter 301 | Ω_I = 6.583613053e-01 | ΔΩ = -7.96375e-06
iter 302 | Ω_I = 6.583552595e-01 | ΔΩ = -6.04578e-06
iter 303 | Ω_I = 6.583503467e-01 | ΔΩ = -4.91274e-06
iter 304 | Ω_I = 6.583436452e-01 | ΔΩ = -6.70152e-06
iter 305 | Ω_I = 6.583380285e-01 | ΔΩ = -5.61668e-06
iter 306 | Ω_I = 6.583300652e-01 | ΔΩ = -7.96337e-06
iter 307 | Ω_I = 6.583233485e-01 | ΔΩ = -6.71665e-06
iter 308 | Ω_I = 6.583205278e-01 | ΔΩ = -2.82073e-06
iter 309 | Ω_I = 6.583183346e-01 | ΔΩ = -2.19324e-06
iter 310 | Ω_I = 6.583103499e-01 | ΔΩ = -7.98463e-06
iter 311 | Ω_I = 6.583023634e-01 | ΔΩ = -7.98653e-06
iter 312 | Ω_I = 6.583000709e-01 | ΔΩ = -2.29248e-06
iter 313 | Ω_I = 6.582905619e-01 | ΔΩ = -9.50903e-06
iter 314 | Ω_I = 6.582892854e-01 | ΔΩ = -1.27652e-06
iter 315 | Ω_I = 6.582875653e-01 | ΔΩ = -1.72004e-06
iter 316 | Ω_I = 6.582805707e-01 | ΔΩ = -6.99466e-06
iter 317 | Ω_I = 6.582762024e-01 | ΔΩ = -4.36828e-06
iter 318 | Ω_I = 6.582715640e-01 | ΔΩ = -4.63839e-06
iter 319 | Ω_I = 6.582655499e-01 | ΔΩ = -6.01408e-06
iter 320 | Ω_I = 6.582588890e-01 | ΔΩ = -6.66095e-06
iter 321 | Ω_I = 6.582613155e-01 | ΔΩ = 2.42650e-06
Warning: Ω_I is increasing. Reducing beta to 0.98.
iter 322 | Ω_I = 6.582548174e-01 | ΔΩ = -6.49806e-06
iter 323 | Ω_I = 6.582476772e-01 | ΔΩ = -7.14025e-06
iter 324 | Ω_I = 6.582413396e-01 | ΔΩ = -6.33758e-06
iter 325 | Ω_I = 6.582380746e-01 | ΔΩ = -3.26496e-06
iter 326 | Ω_I = 6.582348347e-01 | ΔΩ = -3.23989e-06
iter 327 | Ω_I = 6.582315082e-01 | ΔΩ = -3.32653e-06
iter 328 | Ω_I = 6.582260531e-01 | ΔΩ = -5.45514e-06
iter 329 | Ω_I = 6.582265367e-01 | ΔΩ = 4.83657e-07
Warning: Ω_I is increasing. Reducing beta to 0.97.
iter 330 | Ω_I = 6.582209442e-01 | ΔΩ = -5.59247e-06
iter 331 | Ω_I = 6.582153469e-01 | ΔΩ = -5.59732e-06
iter 332 | Ω_I = 6.582126308e-01 | ΔΩ = -2.71613e-06
iter 333 | Ω_I = 6.582047213e-01 | ΔΩ = -7.90951e-06
iter 334 | Ω_I = 6.582059055e-01 | ΔΩ = 1.18422e-06
Warning: Ω_I is increasing. Reducing beta to 0.96.
iter 335 | Ω_I = 6.581991548e-01 | ΔΩ = -6.75073e-06
iter 336 | Ω_I = 6.581986450e-01 | ΔΩ = -5.09785e-07
iter 337 | Ω_I = 6.581930377e-01 | ΔΩ = -5.60732e-06
iter 338 | Ω_I = 6.581923594e-01 | ΔΩ = -6.78297e-07
iter 339 | Ω_I = 6.581875801e-01 | ΔΩ = -4.77925e-06
iter 340 | Ω_I = 6.581837425e-01 | ΔΩ = -3.83762e-06
iter 341 | Ω_I = 6.581809531e-01 | ΔΩ = -2.78936e-06
iter 342 | Ω_I = 6.581751811e-01 | ΔΩ = -5.77208e-06
iter 343 | Ω_I = 6.581728225e-01 | ΔΩ = -2.35857e-06
iter 344 | Ω_I = 6.581716446e-01 | ΔΩ = -1.17792e-06
iter 345 | Ω_I = 6.581673361e-01 | ΔΩ = -4.30851e-06
iter 346 | Ω_I = 6.581602047e-01 | ΔΩ = -7.13138e-06
iter 347 | Ω_I = 6.581605996e-01 | ΔΩ = 3.94903e-07
Warning: Ω_I is increasing. Reducing beta to 0.95.
iter 348 | Ω_I = 6.581515581e-01 | ΔΩ = -9.04144e-06
iter 349 | Ω_I = 6.581524578e-01 | ΔΩ = 8.99617e-07
Warning: Ω_I is increasing. Reducing beta to 0.94.
iter 350 | Ω_I = 6.581487751e-01 | ΔΩ = -3.68262e-06
iter 351 | Ω_I = 6.581493388e-01 | ΔΩ = 5.63654e-07
Warning: Ω_I is increasing. Reducing beta to 0.9299999999999999.
iter 352 | Ω_I = 6.581422319e-01 | ΔΩ = -7.10688e-06
iter 353 | Ω_I = 6.581388906e-01 | ΔΩ = -3.34134e-06
iter 354 | Ω_I = 6.581373062e-01 | ΔΩ = -1.58441e-06
iter 355 | Ω_I = 6.581346394e-01 | ΔΩ = -2.66679e-06
iter 356 | Ω_I = 6.581304661e-01 | ΔΩ = -4.17330e-06
iter 357 | Ω_I = 6.581310582e-01 | ΔΩ = 5.92180e-07
Warning: Ω_I is increasing. Reducing beta to 0.9199999999999999.
iter 358 | Ω_I = 6.581273607e-01 | ΔΩ = -3.69751e-06
iter 359 | Ω_I = 6.581200272e-01 | ΔΩ = -7.33357e-06
iter 360 | Ω_I = 6.581182986e-01 | ΔΩ = -1.72861e-06
iter 361 | Ω_I = 6.581172597e-01 | ΔΩ = -1.03883e-06
iter 362 | Ω_I = 6.581163461e-01 | ΔΩ = -9.13609e-07
iter 363 | Ω_I = 6.581134271e-01 | ΔΩ = -2.91897e-06
iter 364 | Ω_I = 6.581102136e-01 | ΔΩ = -3.21354e-06
iter 365 | Ω_I = 6.581080108e-01 | ΔΩ = -2.20279e-06
iter 366 | Ω_I = 6.581045377e-01 | ΔΩ = -3.47311e-06
iter 367 | Ω_I = 6.581040381e-01 | ΔΩ = -4.99570e-07
iter 368 | Ω_I = 6.581010757e-01 | ΔΩ = -2.96245e-06
iter 369 | Ω_I = 6.580980583e-01 | ΔΩ = -3.01742e-06
iter 370 | Ω_I = 6.580964436e-01 | ΔΩ = -1.61468e-06
iter 371 | Ω_I = 6.580917502e-01 | ΔΩ = -4.69342e-06
iter 372 | Ω_I = 6.580904284e-01 | ΔΩ = -1.32179e-06
iter 373 | Ω_I = 6.580868672e-01 | ΔΩ = -3.56112e-06
iter 374 | Ω_I = 6.580864783e-01 | ΔΩ = -3.88955e-07
iter 375 | Ω_I = 6.580845197e-01 | ΔΩ = -1.95861e-06
iter 376 | Ω_I = 6.580796584e-01 | ΔΩ = -4.86124e-06
iter 377 | Ω_I = 6.580750222e-01 | ΔΩ = -4.63624e-06
iter 378 | Ω_I = 6.580745352e-01 | ΔΩ = -4.86945e-07
iter 379 | Ω_I = 6.580716825e-01 | ΔΩ = -2.85272e-06
iter 380 | Ω_I = 6.580702958e-01 | ΔΩ = -1.38670e-06
iter 381 | Ω_I = 6.580683966e-01 | ΔΩ = -1.89919e-06
iter 382 | Ω_I = 6.580629033e-01 | ΔΩ = -5.49335e-06
iter 383 | Ω_I = 6.580619975e-01 | ΔΩ = -9.05786e-07
iter 384 | Ω_I = 6.580588330e-01 | ΔΩ = -3.16452e-06
iter 385 | Ω_I = 6.580584458e-01 | ΔΩ = -3.87169e-07
iter 386 | Ω_I = 6.580535822e-01 | ΔΩ = -4.86361e-06
iter 387 | Ω_I = 6.580555908e-01 | ΔΩ = 2.00859e-06
Warning: Ω_I is increasing. Reducing beta to 0.9099999999999999.
iter 388 | Ω_I = 6.580522190e-01 | ΔΩ = -3.37177e-06
iter 389 | Ω_I = 6.580512636e-01 | ΔΩ = -9.55408e-07
iter 390 | Ω_I = 6.580520330e-01 | ΔΩ = 7.69376e-07
Warning: Ω_I is increasing. Reducing beta to 0.8999999999999999.
iter 391 | Ω_I = 6.580481686e-01 | ΔΩ = -3.86435e-06
iter 392 | Ω_I = 6.580442023e-01 | ΔΩ = -3.96639e-06
iter 393 | Ω_I = 6.580422402e-01 | ΔΩ = -1.96209e-06
iter 394 | Ω_I = 6.580412543e-01 | ΔΩ = -9.85871e-07
iter 395 | Ω_I = 6.580371850e-01 | ΔΩ = -4.06932e-06
iter 396 | Ω_I = 6.580380649e-01 | ΔΩ = 8.79939e-07
Warning: Ω_I is increasing. Reducing beta to 0.8899999999999999.
iter 397 | Ω_I = 6.580363783e-01 | ΔΩ = -1.68662e-06
iter 398 | Ω_I = 6.580329858e-01 | ΔΩ = -3.39247e-06
iter 399 | Ω_I = 6.580301099e-01 | ΔΩ = -2.87596e-06
iter 400 | Ω_I = 6.580293986e-01 | ΔΩ = -7.11261e-07
iter 401 | Ω_I = 6.580262455e-01 | ΔΩ = -3.15314e-06
iter 402 | Ω_I = 6.580244032e-01 | ΔΩ = -1.84226e-06
iter 403 | Ω_I = 6.580262438e-01 | ΔΩ = 1.84059e-06
Warning: Ω_I is increasing. Reducing beta to 0.8799999999999999.
iter 404 | Ω_I = 6.580230807e-01 | ΔΩ = -3.16305e-06
iter 405 | Ω_I = 6.580214643e-01 | ΔΩ = -1.61640e-06
iter 406 | Ω_I = 6.580198303e-01 | ΔΩ = -1.63403e-06
iter 407 | Ω_I = 6.580173609e-01 | ΔΩ = -2.46946e-06
iter 408 | Ω_I = 6.580146697e-01 | ΔΩ = -2.69117e-06
iter 409 | Ω_I = 6.580135688e-01 | ΔΩ = -1.10089e-06
iter 410 | Ω_I = 6.580126758e-01 | ΔΩ = -8.92975e-07
iter 411 | Ω_I = 6.580107557e-01 | ΔΩ = -1.92011e-06
iter 412 | Ω_I = 6.580107083e-01 | ΔΩ = -4.73968e-08
iter 413 | Ω_I = 6.580083087e-01 | ΔΩ = -2.39961e-06
iter 414 | Ω_I = 6.580064374e-01 | ΔΩ = -1.87133e-06
iter 415 | Ω_I = 6.580055682e-01 | ΔΩ = -8.69146e-07
iter 416 | Ω_I = 6.580045102e-01 | ΔΩ = -1.05803e-06
iter 417 | Ω_I = 6.580021949e-01 | ΔΩ = -2.31527e-06
iter 418 | Ω_I = 6.580002426e-01 | ΔΩ = -1.95231e-06
iter 419 | Ω_I = 6.579968935e-01 | ΔΩ = -3.34914e-06
iter 420 | Ω_I = 6.579972882e-01 | ΔΩ = 3.94753e-07
Warning: Ω_I is increasing. Reducing beta to 0.8699999999999999.
iter 421 | Ω_I = 6.579980129e-01 | ΔΩ = 7.24633e-07
Warning: Ω_I is increasing. Reducing beta to 0.8599999999999999.
iter 422 | Ω_I = 6.579959809e-01 | ΔΩ = -2.03199e-06
iter 423 | Ω_I = 6.579932396e-01 | ΔΩ = -2.74131e-06
iter 424 | Ω_I = 6.579920472e-01 | ΔΩ = -1.19238e-06
iter 425 | Ω_I = 6.579889879e-01 | ΔΩ = -3.05924e-06
iter 426 | Ω_I = 6.579879410e-01 | ΔΩ = -1.04694e-06
iter 427 | Ω_I = 6.579866973e-01 | ΔΩ = -1.24370e-06
iter 428 | Ω_I = 6.579834710e-01 | ΔΩ = -3.22627e-06
iter 429 | Ω_I = 6.579848673e-01 | ΔΩ = 1.39631e-06
Warning: Ω_I is increasing. Reducing beta to 0.8499999999999999.
iter 430 | Ω_I = 6.579832339e-01 | ΔΩ = -1.63340e-06
iter 431 | Ω_I = 6.579826175e-01 | ΔΩ = -6.16465e-07
iter 432 | Ω_I = 6.579820198e-01 | ΔΩ = -5.97714e-07
iter 433 | Ω_I = 6.579795480e-01 | ΔΩ = -2.47174e-06
iter 434 | Ω_I = 6.579762826e-01 | ΔΩ = -3.26544e-06
iter 435 | Ω_I = 6.579745637e-01 | ΔΩ = -1.71886e-06
iter 436 | Ω_I = 6.579753172e-01 | ΔΩ = 7.53517e-07
Warning: Ω_I is increasing. Reducing beta to 0.8399999999999999.
iter 437 | Ω_I = 6.579725805e-01 | ΔΩ = -2.73672e-06
iter 438 | Ω_I = 6.579755062e-01 | ΔΩ = 2.92573e-06
Warning: Ω_I is increasing. Reducing beta to 0.8299999999999998.
iter 439 | Ω_I = 6.579753889e-01 | ΔΩ = -1.17333e-07
iter 440 | Ω_I = 6.579710067e-01 | ΔΩ = -4.38222e-06
iter 441 | Ω_I = 6.579683591e-01 | ΔΩ = -2.64757e-06
iter 442 | Ω_I = 6.579703567e-01 | ΔΩ = 1.99757e-06
Warning: Ω_I is increasing. Reducing beta to 0.8199999999999998.
iter 443 | Ω_I = 6.579666421e-01 | ΔΩ = -3.71457e-06
iter 444 | Ω_I = 6.579673474e-01 | ΔΩ = 7.05292e-07
Warning: Ω_I is increasing. Reducing beta to 0.8099999999999998.
iter 445 | Ω_I = 6.579639286e-01 | ΔΩ = -3.41881e-06
iter 446 | Ω_I = 6.579654139e-01 | ΔΩ = 1.48529e-06
Warning: Ω_I is increasing. Reducing beta to 0.7999999999999998.
iter 447 | Ω_I = 6.579619548e-01 | ΔΩ = -3.45907e-06
iter 448 | Ω_I = 6.579604273e-01 | ΔΩ = -1.52752e-06
iter 449 | Ω_I = 6.579600672e-01 | ΔΩ = -3.60075e-07
iter 450 | Ω_I = 6.579583282e-01 | ΔΩ = -1.73903e-06
iter 451 | Ω_I = 6.579568493e-01 | ΔΩ = -1.47886e-06
iter 452 | Ω_I = 6.579576542e-01 | ΔΩ = 8.04898e-07
Warning: Ω_I is increasing. Reducing beta to 0.7899999999999998.
iter 453 | Ω_I = 6.579582773e-01 | ΔΩ = 6.23027e-07
Warning: Ω_I is increasing. Reducing beta to 0.7799999999999998.
iter 454 | Ω_I = 6.579525579e-01 | ΔΩ = -5.71937e-06
iter 455 | Ω_I = 6.579543051e-01 | ΔΩ = 1.74722e-06
Warning: Ω_I is increasing. Reducing beta to 0.7699999999999998.
iter 456 | Ω_I = 6.579532591e-01 | ΔΩ = -1.04603e-06
iter 457 | Ω_I = 6.579534183e-01 | ΔΩ = 1.59226e-07
Warning: Ω_I is increasing. Reducing beta to 0.7599999999999998.
iter 458 | Ω_I = 6.579514066e-01 | ΔΩ = -2.01174e-06
iter 459 | Ω_I = 6.579479097e-01 | ΔΩ = -3.49686e-06
iter 460 | Ω_I = 6.579478472e-01 | ΔΩ = -6.25339e-08
iter 461 | Ω_I = 6.579467808e-01 | ΔΩ = -1.06638e-06
iter 462 | Ω_I = 6.579470315e-01 | ΔΩ = 2.50699e-07
Warning: Ω_I is increasing. Reducing beta to 0.7499999999999998.
iter 463 | Ω_I = 6.579445189e-01 | ΔΩ = -2.51257e-06
iter 464 | Ω_I = 6.579457583e-01 | ΔΩ = 1.23938e-06
Warning: Ω_I is increasing. Reducing beta to 0.7399999999999998.
iter 465 | Ω_I = 6.579471461e-01 | ΔΩ = 1.38783e-06
Warning: Ω_I is increasing. Reducing beta to 0.7299999999999998.
iter 466 | Ω_I = 6.579451854e-01 | ΔΩ = -1.96069e-06
iter 467 | Ω_I = 6.579459236e-01 | ΔΩ = 7.38116e-07
Warning: Ω_I is increasing. Reducing beta to 0.7199999999999998.
iter 468 | Ω_I = 6.579446706e-01 | ΔΩ = -1.25295e-06
iter 469 | Ω_I = 6.579432018e-01 | ΔΩ = -1.46884e-06
iter 470 | Ω_I = 6.579411956e-01 | ΔΩ = -2.00617e-06
iter 471 | Ω_I = 6.579400084e-01 | ΔΩ = -1.18717e-06
iter 472 | Ω_I = 6.579389021e-01 | ΔΩ = -1.10632e-06
iter 473 | Ω_I = 6.579378629e-01 | ΔΩ = -1.03919e-06
iter 474 | Ω_I = 6.579374231e-01 | ΔΩ = -4.39831e-07
iter 475 | Ω_I = 6.579346974e-01 | ΔΩ = -2.72569e-06
iter 476 | Ω_I = 6.579363328e-01 | ΔΩ = 1.63541e-06
Warning: Ω_I is increasing. Reducing beta to 0.7099999999999997.
iter 477 | Ω_I = 6.579362631e-01 | ΔΩ = -6.97189e-08
iter 478 | Ω_I = 6.579337035e-01 | ΔΩ = -2.55962e-06
iter 479 | Ω_I = 6.579338114e-01 | ΔΩ = 1.07968e-07
Warning: Ω_I is increasing. Reducing beta to 0.6999999999999997.
iter 480 | Ω_I = 6.579307561e-01 | ΔΩ = -3.05537e-06
iter 481 | Ω_I = 6.579310403e-01 | ΔΩ = 2.84267e-07
Warning: Ω_I is increasing. Reducing beta to 0.6899999999999997.
iter 482 | Ω_I = 6.579299827e-01 | ΔΩ = -1.05769e-06
iter 483 | Ω_I = 6.579310447e-01 | ΔΩ = 1.06207e-06
Warning: Ω_I is increasing. Reducing beta to 0.6799999999999997.
iter 484 | Ω_I = 6.579284044e-01 | ΔΩ = -2.64034e-06
iter 485 | Ω_I = 6.579293472e-01 | ΔΩ = 9.42791e-07
Warning: Ω_I is increasing. Reducing beta to 0.6699999999999997.
iter 486 | Ω_I = 6.579284495e-01 | ΔΩ = -8.97658e-07
iter 487 | Ω_I = 6.579264802e-01 | ΔΩ = -1.96932e-06
iter 488 | Ω_I = 6.579281181e-01 | ΔΩ = 1.63790e-06
Warning: Ω_I is increasing. Reducing beta to 0.6599999999999997.
iter 489 | Ω_I = 6.579266447e-01 | ΔΩ = -1.47338e-06
iter 490 | Ω_I = 6.579250477e-01 | ΔΩ = -1.59705e-06
iter 491 | Ω_I = 6.579251977e-01 | ΔΩ = 1.50023e-07
Warning: Ω_I is increasing. Reducing beta to 0.6499999999999997.
iter 492 | Ω_I = 6.579246833e-01 | ΔΩ = -5.14359e-07
iter 493 | Ω_I = 6.579233507e-01 | ΔΩ = -1.33261e-06
iter 494 | Ω_I = 6.579225304e-01 | ΔΩ = -8.20288e-07
iter 495 | Ω_I = 6.579202683e-01 | ΔΩ = -2.26218e-06
iter 496 | Ω_I = 6.579195588e-01 | ΔΩ = -7.09419e-07
iter 497 | Ω_I = 6.579201870e-01 | ΔΩ = 6.28154e-07
Warning: Ω_I is increasing. Reducing beta to 0.6399999999999997.
iter 498 | Ω_I = 6.579190193e-01 | ΔΩ = -1.16774e-06
iter 499 | Ω_I = 6.579182112e-01 | ΔΩ = -8.08075e-07
WF.info()
Wannier Function Report
===================================================================
WF 1: center = [0.00001441, -0.28873501] Omega = 239.43975468
WF 2: center = [-0.10001711, -0.17314503] Omega = 227.63279552
WF 3: center = [-0.14999741, -0.43301262] Omega = 214.82906810
Sum : center = [-0.25000011, -0.89489265] Omega tot = 681.90161829
-------------------------------------------------------------------
Omega I = 0.65790508
Omega D = 675.93719710
Omega OD = 5.30651611
Omega tot = 681.90161829
Maximal localization#
To obtain maximally localized Wannier functions, we follow this with another projection to initialize a smooth gauge, then maximal localization.
Note we must pass the flag
tilde=Trueto indicate we are projecting the trial wavefunctions onto the tilde states and not the energy eigenstates
WF.project(use_tilde=True)
WF.info()
Wannier Function Report
===============================================================
WF 1: center = [0.48248094, 0.27856050] Omega = 0.23470402
WF 2: center = [0.99999999, 1.17492979] Omega = 0.23470295
WF 3: center = [1.51751906, 0.27856050] Omega = 0.23470331
Sum : center = [2.99999999, 1.73205079] Omega tot = 0.70411028
---------------------------------------------------------------
Omega I = 0.65790508
Omega D = 0.00747197
Omega OD = 0.03873323
Omega tot = 0.70411028
WF.maxloc(alpha=1 / 2, max_iter=1000, tol=1e-10, grad_min=1e-10, verbose=True)
Show code cell output
Hide code cell output
iter 0 | Ω_tilde = 4.602792972e-02 | ΔΩ = -1.77270e-04 | ‖∇‖ = 1.62055e-05
iter 1 | Ω_tilde = 4.586279486e-02 | ΔΩ = -1.65135e-04 | ‖∇‖ = 1.61241e-05
iter 2 | Ω_tilde = 4.570858272e-02 | ΔΩ = -1.54212e-04 | ‖∇‖ = 1.60431e-05
iter 3 | Ω_tilde = 4.556426243e-02 | ΔΩ = -1.44320e-04 | ‖∇‖ = 1.59626e-05
iter 4 | Ω_tilde = 4.542894581e-02 | ΔΩ = -1.35317e-04 | ‖∇‖ = 1.58825e-05
iter 5 | Ω_tilde = 4.530185950e-02 | ΔΩ = -1.27086e-04 | ‖∇‖ = 1.58029e-05
iter 6 | Ω_tilde = 4.518232425e-02 | ΔΩ = -1.19535e-04 | ‖∇‖ = 1.57237e-05
iter 7 | Ω_tilde = 4.506973895e-02 | ΔΩ = -1.12585e-04 | ‖∇‖ = 1.56451e-05
iter 8 | Ω_tilde = 4.496356826e-02 | ΔΩ = -1.06171e-04 | ‖∇‖ = 1.55670e-05
iter 9 | Ω_tilde = 4.486333278e-02 | ΔΩ = -1.00235e-04 | ‖∇‖ = 1.54894e-05
iter 10 | Ω_tilde = 4.476860112e-02 | ΔΩ = -9.47317e-05 | ‖∇‖ = 1.54123e-05
iter 11 | Ω_tilde = 4.467898340e-02 | ΔΩ = -8.96177e-05 | ‖∇‖ = 1.53358e-05
iter 12 | Ω_tilde = 4.459412596e-02 | ΔΩ = -8.48574e-05 | ‖∇‖ = 1.52598e-05
iter 13 | Ω_tilde = 4.451370690e-02 | ΔΩ = -8.04191e-05 | ‖∇‖ = 1.51843e-05
iter 14 | Ω_tilde = 4.443743231e-02 | ΔΩ = -7.62746e-05 | ‖∇‖ = 1.51093e-05
iter 15 | Ω_tilde = 4.436503316e-02 | ΔΩ = -7.23992e-05 | ‖∇‖ = 1.50349e-05
iter 16 | Ω_tilde = 4.429626253e-02 | ΔΩ = -6.87706e-05 | ‖∇‖ = 1.49609e-05
iter 17 | Ω_tilde = 4.423089331e-02 | ΔΩ = -6.53692e-05 | ‖∇‖ = 1.48875e-05
iter 18 | Ω_tilde = 4.416871617e-02 | ΔΩ = -6.21771e-05 | ‖∇‖ = 1.48146e-05
iter 19 | Ω_tilde = 4.410953782e-02 | ΔΩ = -5.91783e-05 | ‖∇‖ = 1.47422e-05
iter 20 | Ω_tilde = 4.405317946e-02 | ΔΩ = -5.63584e-05 | ‖∇‖ = 1.46703e-05
iter 21 | Ω_tilde = 4.399947539e-02 | ΔΩ = -5.37041e-05 | ‖∇‖ = 1.45989e-05
iter 22 | Ω_tilde = 4.394827189e-02 | ΔΩ = -5.12035e-05 | ‖∇‖ = 1.45280e-05
iter 23 | Ω_tilde = 4.389942610e-02 | ΔΩ = -4.88458e-05 | ‖∇‖ = 1.44576e-05
iter 24 | Ω_tilde = 4.385280510e-02 | ΔΩ = -4.66210e-05 | ‖∇‖ = 1.43876e-05
iter 25 | Ω_tilde = 4.380828507e-02 | ΔΩ = -4.45200e-05 | ‖∇‖ = 1.43181e-05
iter 26 | Ω_tilde = 4.376575050e-02 | ΔΩ = -4.25346e-05 | ‖∇‖ = 1.42491e-05
iter 27 | Ω_tilde = 4.372509358e-02 | ΔΩ = -4.06569e-05 | ‖∇‖ = 1.41806e-05
iter 28 | Ω_tilde = 4.368621352e-02 | ΔΩ = -3.88801e-05 | ‖∇‖ = 1.41125e-05
iter 29 | Ω_tilde = 4.364901603e-02 | ΔΩ = -3.71975e-05 | ‖∇‖ = 1.40449e-05
iter 30 | Ω_tilde = 4.361341281e-02 | ΔΩ = -3.56032e-05 | ‖∇‖ = 1.39777e-05
iter 31 | Ω_tilde = 4.357932111e-02 | ΔΩ = -3.40917e-05 | ‖∇‖ = 1.39109e-05
iter 32 | Ω_tilde = 4.354666330e-02 | ΔΩ = -3.26578e-05 | ‖∇‖ = 1.38446e-05
iter 33 | Ω_tilde = 4.351536649e-02 | ΔΩ = -3.12968e-05 | ‖∇‖ = 1.37787e-05
iter 34 | Ω_tilde = 4.348536222e-02 | ΔΩ = -3.00043e-05 | ‖∇‖ = 1.37132e-05
iter 35 | Ω_tilde = 4.345658611e-02 | ΔΩ = -2.87761e-05 | ‖∇‖ = 1.36481e-05
iter 36 | Ω_tilde = 4.342897757e-02 | ΔΩ = -2.76085e-05 | ‖∇‖ = 1.35835e-05
iter 37 | Ω_tilde = 4.340247957e-02 | ΔΩ = -2.64980e-05 | ‖∇‖ = 1.35192e-05
iter 38 | Ω_tilde = 4.337703838e-02 | ΔΩ = -2.54412e-05 | ‖∇‖ = 1.34554e-05
iter 39 | Ω_tilde = 4.335260333e-02 | ΔΩ = -2.44351e-05 | ‖∇‖ = 1.33920e-05
iter 40 | Ω_tilde = 4.332912662e-02 | ΔΩ = -2.34767e-05 | ‖∇‖ = 1.33289e-05
iter 41 | Ω_tilde = 4.330656316e-02 | ΔΩ = -2.25635e-05 | ‖∇‖ = 1.32663e-05
iter 42 | Ω_tilde = 4.328487032e-02 | ΔΩ = -2.16928e-05 | ‖∇‖ = 1.32040e-05
iter 43 | Ω_tilde = 4.326400784e-02 | ΔΩ = -2.08625e-05 | ‖∇‖ = 1.31421e-05
iter 44 | Ω_tilde = 4.324393767e-02 | ΔΩ = -2.00702e-05 | ‖∇‖ = 1.30805e-05
iter 45 | Ω_tilde = 4.322462377e-02 | ΔΩ = -1.93139e-05 | ‖∇‖ = 1.30194e-05
iter 46 | Ω_tilde = 4.320603207e-02 | ΔΩ = -1.85917e-05 | ‖∇‖ = 1.29586e-05
iter 47 | Ω_tilde = 4.318813030e-02 | ΔΩ = -1.79018e-05 | ‖∇‖ = 1.28981e-05
iter 48 | Ω_tilde = 4.317088786e-02 | ΔΩ = -1.72424e-05 | ‖∇‖ = 1.28381e-05
iter 49 | Ω_tilde = 4.315427577e-02 | ΔΩ = -1.66121e-05 | ‖∇‖ = 1.27783e-05
iter 50 | Ω_tilde = 4.313826655e-02 | ΔΩ = -1.60092e-05 | ‖∇‖ = 1.27190e-05
iter 51 | Ω_tilde = 4.312283411e-02 | ΔΩ = -1.54324e-05 | ‖∇‖ = 1.26599e-05
iter 52 | Ω_tilde = 4.310795371e-02 | ΔΩ = -1.48804e-05 | ‖∇‖ = 1.26012e-05
iter 53 | Ω_tilde = 4.309360184e-02 | ΔΩ = -1.43519e-05 | ‖∇‖ = 1.25429e-05
iter 54 | Ω_tilde = 4.307975617e-02 | ΔΩ = -1.38457e-05 | ‖∇‖ = 1.24849e-05
iter 55 | Ω_tilde = 4.306639548e-02 | ΔΩ = -1.33607e-05 | ‖∇‖ = 1.24272e-05
iter 56 | Ω_tilde = 4.305349961e-02 | ΔΩ = -1.28959e-05 | ‖∇‖ = 1.23698e-05
iter 57 | Ω_tilde = 4.304104935e-02 | ΔΩ = -1.24503e-05 | ‖∇‖ = 1.23128e-05
iter 58 | Ω_tilde = 4.302902647e-02 | ΔΩ = -1.20229e-05 | ‖∇‖ = 1.22561e-05
iter 59 | Ω_tilde = 4.301741358e-02 | ΔΩ = -1.16129e-05 | ‖∇‖ = 1.21997e-05
iter 60 | Ω_tilde = 4.300619413e-02 | ΔΩ = -1.12194e-05 | ‖∇‖ = 1.21436e-05
iter 61 | Ω_tilde = 4.299535237e-02 | ΔΩ = -1.08418e-05 | ‖∇‖ = 1.20878e-05
iter 62 | Ω_tilde = 4.298487327e-02 | ΔΩ = -1.04791e-05 | ‖∇‖ = 1.20323e-05
iter 63 | Ω_tilde = 4.297474252e-02 | ΔΩ = -1.01308e-05 | ‖∇‖ = 1.19771e-05
iter 64 | Ω_tilde = 4.296494646e-02 | ΔΩ = -9.79606e-06 | ‖∇‖ = 1.19223e-05
iter 65 | Ω_tilde = 4.295547207e-02 | ΔΩ = -9.47439e-06 | ‖∇‖ = 1.18677e-05
iter 66 | Ω_tilde = 4.294630693e-02 | ΔΩ = -9.16514e-06 | ‖∇‖ = 1.18134e-05
iter 67 | Ω_tilde = 4.293743918e-02 | ΔΩ = -8.86776e-06 | ‖∇‖ = 1.17595e-05
iter 68 | Ω_tilde = 4.292885748e-02 | ΔΩ = -8.58170e-06 | ‖∇‖ = 1.17058e-05
iter 69 | Ω_tilde = 4.292055101e-02 | ΔΩ = -8.30647e-06 | ‖∇‖ = 1.16524e-05
iter 70 | Ω_tilde = 4.291250944e-02 | ΔΩ = -8.04157e-06 | ‖∇‖ = 1.15992e-05
iter 71 | Ω_tilde = 4.290472289e-02 | ΔΩ = -7.78655e-06 | ‖∇‖ = 1.15464e-05
iter 72 | Ω_tilde = 4.289718191e-02 | ΔΩ = -7.54098e-06 | ‖∇‖ = 1.14939e-05
iter 73 | Ω_tilde = 4.288987745e-02 | ΔΩ = -7.30445e-06 | ‖∇‖ = 1.14416e-05
iter 74 | Ω_tilde = 4.288280089e-02 | ΔΩ = -7.07657e-06 | ‖∇‖ = 1.13896e-05
iter 75 | Ω_tilde = 4.287594393e-02 | ΔΩ = -6.85695e-06 | ‖∇‖ = 1.13378e-05
iter 76 | Ω_tilde = 4.286929867e-02 | ΔΩ = -6.64526e-06 | ‖∇‖ = 1.12864e-05
iter 77 | Ω_tilde = 4.286285752e-02 | ΔΩ = -6.44115e-06 | ‖∇‖ = 1.12352e-05
iter 78 | Ω_tilde = 4.285661321e-02 | ΔΩ = -6.24431e-06 | ‖∇‖ = 1.11843e-05
iter 79 | Ω_tilde = 4.285055878e-02 | ΔΩ = -6.05443e-06 | ‖∇‖ = 1.11336e-05
iter 80 | Ω_tilde = 4.284468756e-02 | ΔΩ = -5.87122e-06 | ‖∇‖ = 1.10832e-05
iter 81 | Ω_tilde = 4.283899316e-02 | ΔΩ = -5.69441e-06 | ‖∇‖ = 1.10331e-05
iter 82 | Ω_tilde = 4.283346943e-02 | ΔΩ = -5.52373e-06 | ‖∇‖ = 1.09832e-05
iter 83 | Ω_tilde = 4.282811050e-02 | ΔΩ = -5.35893e-06 | ‖∇‖ = 1.09335e-05
iter 84 | Ω_tilde = 4.282291072e-02 | ΔΩ = -5.19978e-06 | ‖∇‖ = 1.08842e-05
iter 85 | Ω_tilde = 4.281786466e-02 | ΔΩ = -5.04606e-06 | ‖∇‖ = 1.08350e-05
iter 86 | Ω_tilde = 4.281296713e-02 | ΔΩ = -4.89753e-06 | ‖∇‖ = 1.07862e-05
iter 87 | Ω_tilde = 4.280821313e-02 | ΔΩ = -4.75400e-06 | ‖∇‖ = 1.07375e-05
iter 88 | Ω_tilde = 4.280359785e-02 | ΔΩ = -4.61527e-06 | ‖∇‖ = 1.06891e-05
iter 89 | Ω_tilde = 4.279911670e-02 | ΔΩ = -4.48116e-06 | ‖∇‖ = 1.06410e-05
iter 90 | Ω_tilde = 4.279476522e-02 | ΔΩ = -4.35147e-06 | ‖∇‖ = 1.05931e-05
iter 91 | Ω_tilde = 4.279053917e-02 | ΔΩ = -4.22605e-06 | ‖∇‖ = 1.05454e-05
iter 92 | Ω_tilde = 4.278643444e-02 | ΔΩ = -4.10473e-06 | ‖∇‖ = 1.04980e-05
iter 93 | Ω_tilde = 4.278244710e-02 | ΔΩ = -3.98734e-06 | ‖∇‖ = 1.04508e-05
iter 94 | Ω_tilde = 4.277857335e-02 | ΔΩ = -3.87375e-06 | ‖∇‖ = 1.04039e-05
iter 95 | Ω_tilde = 4.277480953e-02 | ΔΩ = -3.76381e-06 | ‖∇‖ = 1.03572e-05
iter 96 | Ω_tilde = 4.277115215e-02 | ΔΩ = -3.65738e-06 | ‖∇‖ = 1.03107e-05
iter 97 | Ω_tilde = 4.276759781e-02 | ΔΩ = -3.55434e-06 | ‖∇‖ = 1.02644e-05
iter 98 | Ω_tilde = 4.276414326e-02 | ΔΩ = -3.45455e-06 | ‖∇‖ = 1.02184e-05
iter 99 | Ω_tilde = 4.276078536e-02 | ΔΩ = -3.35790e-06 | ‖∇‖ = 1.01726e-05
iter 100 | Ω_tilde = 4.275752108e-02 | ΔΩ = -3.26428e-06 | ‖∇‖ = 1.01270e-05
iter 101 | Ω_tilde = 4.275434752e-02 | ΔΩ = -3.17356e-06 | ‖∇‖ = 1.00816e-05
iter 102 | Ω_tilde = 4.275126186e-02 | ΔΩ = -3.08566e-06 | ‖∇‖ = 1.00365e-05
iter 103 | Ω_tilde = 4.274826140e-02 | ΔΩ = -3.00047e-06 | ‖∇‖ = 9.99157e-06
iter 104 | Ω_tilde = 4.274534351e-02 | ΔΩ = -2.91788e-06 | ‖∇‖ = 9.94687e-06
iter 105 | Ω_tilde = 4.274250569e-02 | ΔΩ = -2.83782e-06 | ‖∇‖ = 9.90239e-06
iter 106 | Ω_tilde = 4.273974550e-02 | ΔΩ = -2.76019e-06 | ‖∇‖ = 9.85812e-06
iter 107 | Ω_tilde = 4.273706060e-02 | ΔΩ = -2.68490e-06 | ‖∇‖ = 9.81407e-06
iter 108 | Ω_tilde = 4.273444872e-02 | ΔΩ = -2.61188e-06 | ‖∇‖ = 9.77022e-06
iter 109 | Ω_tilde = 4.273190766e-02 | ΔΩ = -2.54105e-06 | ‖∇‖ = 9.72659e-06
iter 110 | Ω_tilde = 4.272943533e-02 | ΔΩ = -2.47233e-06 | ‖∇‖ = 9.68317e-06
iter 111 | Ω_tilde = 4.272702969e-02 | ΔΩ = -2.40565e-06 | ‖∇‖ = 9.63996e-06
iter 112 | Ω_tilde = 4.272468875e-02 | ΔΩ = -2.34094e-06 | ‖∇‖ = 9.59696e-06
iter 113 | Ω_tilde = 4.272241062e-02 | ΔΩ = -2.27813e-06 | ‖∇‖ = 9.55416e-06
iter 114 | Ω_tilde = 4.272019345e-02 | ΔΩ = -2.21717e-06 | ‖∇‖ = 9.51156e-06
iter 115 | Ω_tilde = 4.271803547e-02 | ΔΩ = -2.15798e-06 | ‖∇‖ = 9.46917e-06
iter 116 | Ω_tilde = 4.271593496e-02 | ΔΩ = -2.10051e-06 | ‖∇‖ = 9.42698e-06
iter 117 | Ω_tilde = 4.271389025e-02 | ΔΩ = -2.04471e-06 | ‖∇‖ = 9.38499e-06
iter 118 | Ω_tilde = 4.271189974e-02 | ΔΩ = -1.99051e-06 | ‖∇‖ = 9.34320e-06
iter 119 | Ω_tilde = 4.270996186e-02 | ΔΩ = -1.93788e-06 | ‖∇‖ = 9.30161e-06
iter 120 | Ω_tilde = 4.270807512e-02 | ΔΩ = -1.88674e-06 | ‖∇‖ = 9.26022e-06
iter 121 | Ω_tilde = 4.270623805e-02 | ΔΩ = -1.83707e-06 | ‖∇‖ = 9.21902e-06
iter 122 | Ω_tilde = 4.270444924e-02 | ΔΩ = -1.78881e-06 | ‖∇‖ = 9.17801e-06
iter 123 | Ω_tilde = 4.270270733e-02 | ΔΩ = -1.74191e-06 | ‖∇‖ = 9.13720e-06
iter 124 | Ω_tilde = 4.270101099e-02 | ΔΩ = -1.69634e-06 | ‖∇‖ = 9.09659e-06
iter 125 | Ω_tilde = 4.269935895e-02 | ΔΩ = -1.65204e-06 | ‖∇‖ = 9.05616e-06
iter 126 | Ω_tilde = 4.269774996e-02 | ΔΩ = -1.60899e-06 | ‖∇‖ = 9.01592e-06
iter 127 | Ω_tilde = 4.269618283e-02 | ΔΩ = -1.56714e-06 | ‖∇‖ = 8.97587e-06
iter 128 | Ω_tilde = 4.269465638e-02 | ΔΩ = -1.52645e-06 | ‖∇‖ = 8.93601e-06
iter 129 | Ω_tilde = 4.269316949e-02 | ΔΩ = -1.48689e-06 | ‖∇‖ = 8.89633e-06
iter 130 | Ω_tilde = 4.269172107e-02 | ΔΩ = -1.44842e-06 | ‖∇‖ = 8.85685e-06
iter 131 | Ω_tilde = 4.269031005e-02 | ΔΩ = -1.41102e-06 | ‖∇‖ = 8.81754e-06
iter 132 | Ω_tilde = 4.268893541e-02 | ΔΩ = -1.37464e-06 | ‖∇‖ = 8.77842e-06
iter 133 | Ω_tilde = 4.268759615e-02 | ΔΩ = -1.33926e-06 | ‖∇‖ = 8.73948e-06
iter 134 | Ω_tilde = 4.268629130e-02 | ΔΩ = -1.30485e-06 | ‖∇‖ = 8.70072e-06
iter 135 | Ω_tilde = 4.268501993e-02 | ΔΩ = -1.27137e-06 | ‖∇‖ = 8.66214e-06
iter 136 | Ω_tilde = 4.268378113e-02 | ΔΩ = -1.23880e-06 | ‖∇‖ = 8.62375e-06
iter 137 | Ω_tilde = 4.268257401e-02 | ΔΩ = -1.20712e-06 | ‖∇‖ = 8.58553e-06
iter 138 | Ω_tilde = 4.268139773e-02 | ΔΩ = -1.17629e-06 | ‖∇‖ = 8.54748e-06
iter 139 | Ω_tilde = 4.268025144e-02 | ΔΩ = -1.14629e-06 | ‖∇‖ = 8.50962e-06
iter 140 | Ω_tilde = 4.267913434e-02 | ΔΩ = -1.11710e-06 | ‖∇‖ = 8.47193e-06
iter 141 | Ω_tilde = 4.267804566e-02 | ΔΩ = -1.08869e-06 | ‖∇‖ = 8.43441e-06
iter 142 | Ω_tilde = 4.267698462e-02 | ΔΩ = -1.06104e-06 | ‖∇‖ = 8.39706e-06
iter 143 | Ω_tilde = 4.267595050e-02 | ΔΩ = -1.03412e-06 | ‖∇‖ = 8.35989e-06
iter 144 | Ω_tilde = 4.267494257e-02 | ΔΩ = -1.00793e-06 | ‖∇‖ = 8.32289e-06
iter 145 | Ω_tilde = 4.267396014e-02 | ΔΩ = -9.82427e-07 | ‖∇‖ = 8.28606e-06
iter 146 | Ω_tilde = 4.267300254e-02 | ΔΩ = -9.57602e-07 | ‖∇‖ = 8.24940e-06
iter 147 | Ω_tilde = 4.267206911e-02 | ΔΩ = -9.33434e-07 | ‖∇‖ = 8.21291e-06
iter 148 | Ω_tilde = 4.267115921e-02 | ΔΩ = -9.09903e-07 | ‖∇‖ = 8.17659e-06
iter 149 | Ω_tilde = 4.267027221e-02 | ΔΩ = -8.86992e-07 | ‖∇‖ = 8.14043e-06
iter 150 | Ω_tilde = 4.266940753e-02 | ΔΩ = -8.64682e-07 | ‖∇‖ = 8.10444e-06
iter 151 | Ω_tilde = 4.266856457e-02 | ΔΩ = -8.42957e-07 | ‖∇‖ = 8.06861e-06
iter 152 | Ω_tilde = 4.266774277e-02 | ΔΩ = -8.21801e-07 | ‖∇‖ = 8.03295e-06
iter 153 | Ω_tilde = 4.266694158e-02 | ΔΩ = -8.01197e-07 | ‖∇‖ = 7.99745e-06
iter 154 | Ω_tilde = 4.266616044e-02 | ΔΩ = -7.81131e-07 | ‖∇‖ = 7.96212e-06
iter 155 | Ω_tilde = 4.266539886e-02 | ΔΩ = -7.61586e-07 | ‖∇‖ = 7.92694e-06
iter 156 | Ω_tilde = 4.266465631e-02 | ΔΩ = -7.42549e-07 | ‖∇‖ = 7.89193e-06
iter 157 | Ω_tilde = 4.266393230e-02 | ΔΩ = -7.24005e-07 | ‖∇‖ = 7.85708e-06
iter 158 | Ω_tilde = 4.266322636e-02 | ΔΩ = -7.05942e-07 | ‖∇‖ = 7.82238e-06
iter 159 | Ω_tilde = 4.266253802e-02 | ΔΩ = -6.88345e-07 | ‖∇‖ = 7.78785e-06
iter 160 | Ω_tilde = 4.266186682e-02 | ΔΩ = -6.71201e-07 | ‖∇‖ = 7.75347e-06
iter 161 | Ω_tilde = 4.266121232e-02 | ΔΩ = -6.54500e-07 | ‖∇‖ = 7.71924e-06
iter 162 | Ω_tilde = 4.266057409e-02 | ΔΩ = -6.38228e-07 | ‖∇‖ = 7.68518e-06
iter 163 | Ω_tilde = 4.265995172e-02 | ΔΩ = -6.22373e-07 | ‖∇‖ = 7.65127e-06
iter 164 | Ω_tilde = 4.265934479e-02 | ΔΩ = -6.06925e-07 | ‖∇‖ = 7.61751e-06
iter 165 | Ω_tilde = 4.265875292e-02 | ΔΩ = -5.91872e-07 | ‖∇‖ = 7.58390e-06
iter 166 | Ω_tilde = 4.265817572e-02 | ΔΩ = -5.77204e-07 | ‖∇‖ = 7.55045e-06
iter 167 | Ω_tilde = 4.265761281e-02 | ΔΩ = -5.62911e-07 | ‖∇‖ = 7.51715e-06
iter 168 | Ω_tilde = 4.265706382e-02 | ΔΩ = -5.48981e-07 | ‖∇‖ = 7.48400e-06
iter 169 | Ω_tilde = 4.265652842e-02 | ΔΩ = -5.35406e-07 | ‖∇‖ = 7.45101e-06
iter 170 | Ω_tilde = 4.265600624e-02 | ΔΩ = -5.22177e-07 | ‖∇‖ = 7.41816e-06
iter 171 | Ω_tilde = 4.265549696e-02 | ΔΩ = -5.09283e-07 | ‖∇‖ = 7.38546e-06
iter 172 | Ω_tilde = 4.265500024e-02 | ΔΩ = -4.96716e-07 | ‖∇‖ = 7.35291e-06
iter 173 | Ω_tilde = 4.265451578e-02 | ΔΩ = -4.84467e-07 | ‖∇‖ = 7.32050e-06
iter 174 | Ω_tilde = 4.265404325e-02 | ΔΩ = -4.72528e-07 | ‖∇‖ = 7.28824e-06
iter 175 | Ω_tilde = 4.265358236e-02 | ΔΩ = -4.60891e-07 | ‖∇‖ = 7.25613e-06
iter 176 | Ω_tilde = 4.265313281e-02 | ΔΩ = -4.49547e-07 | ‖∇‖ = 7.22416e-06
iter 177 | Ω_tilde = 4.265269432e-02 | ΔΩ = -4.38489e-07 | ‖∇‖ = 7.19234e-06
iter 178 | Ω_tilde = 4.265226661e-02 | ΔΩ = -4.27710e-07 | ‖∇‖ = 7.16066e-06
iter 179 | Ω_tilde = 4.265184941e-02 | ΔΩ = -4.17202e-07 | ‖∇‖ = 7.12913e-06
iter 180 | Ω_tilde = 4.265144245e-02 | ΔΩ = -4.06958e-07 | ‖∇‖ = 7.09773e-06
iter 181 | Ω_tilde = 4.265104548e-02 | ΔΩ = -3.96970e-07 | ‖∇‖ = 7.06648e-06
iter 182 | Ω_tilde = 4.265065825e-02 | ΔΩ = -3.87234e-07 | ‖∇‖ = 7.03537e-06
iter 183 | Ω_tilde = 4.265028051e-02 | ΔΩ = -3.77741e-07 | ‖∇‖ = 7.00440e-06
iter 184 | Ω_tilde = 4.264991202e-02 | ΔΩ = -3.68486e-07 | ‖∇‖ = 6.97357e-06
iter 185 | Ω_tilde = 4.264955256e-02 | ΔΩ = -3.59462e-07 | ‖∇‖ = 6.94287e-06
iter 186 | Ω_tilde = 4.264920189e-02 | ΔΩ = -3.50664e-07 | ‖∇‖ = 6.91232e-06
iter 187 | Ω_tilde = 4.264885981e-02 | ΔΩ = -3.42085e-07 | ‖∇‖ = 6.88190e-06
iter 188 | Ω_tilde = 4.264852609e-02 | ΔΩ = -3.33720e-07 | ‖∇‖ = 6.85162e-06
iter 189 | Ω_tilde = 4.264820053e-02 | ΔΩ = -3.25564e-07 | ‖∇‖ = 6.82148e-06
iter 190 | Ω_tilde = 4.264788292e-02 | ΔΩ = -3.17610e-07 | ‖∇‖ = 6.79147e-06
iter 191 | Ω_tilde = 4.264757306e-02 | ΔΩ = -3.09855e-07 | ‖∇‖ = 6.76159e-06
iter 192 | Ω_tilde = 4.264727077e-02 | ΔΩ = -3.02292e-07 | ‖∇‖ = 6.73186e-06
iter 193 | Ω_tilde = 4.264697585e-02 | ΔΩ = -2.94917e-07 | ‖∇‖ = 6.70225e-06
iter 194 | Ω_tilde = 4.264668813e-02 | ΔΩ = -2.87725e-07 | ‖∇‖ = 6.67278e-06
iter 195 | Ω_tilde = 4.264640742e-02 | ΔΩ = -2.80711e-07 | ‖∇‖ = 6.64343e-06
iter 196 | Ω_tilde = 4.264613355e-02 | ΔΩ = -2.73871e-07 | ‖∇‖ = 6.61422e-06
iter 197 | Ω_tilde = 4.264586635e-02 | ΔΩ = -2.67200e-07 | ‖∇‖ = 6.58515e-06
iter 198 | Ω_tilde = 4.264560565e-02 | ΔΩ = -2.60695e-07 | ‖∇‖ = 6.55620e-06
iter 199 | Ω_tilde = 4.264535130e-02 | ΔΩ = -2.54350e-07 | ‖∇‖ = 6.52738e-06
iter 200 | Ω_tilde = 4.264510314e-02 | ΔΩ = -2.48162e-07 | ‖∇‖ = 6.49869e-06
iter 201 | Ω_tilde = 4.264486101e-02 | ΔΩ = -2.42127e-07 | ‖∇‖ = 6.47013e-06
iter 202 | Ω_tilde = 4.264462477e-02 | ΔΩ = -2.36241e-07 | ‖∇‖ = 6.44170e-06
iter 203 | Ω_tilde = 4.264439427e-02 | ΔΩ = -2.30500e-07 | ‖∇‖ = 6.41339e-06
iter 204 | Ω_tilde = 4.264416937e-02 | ΔΩ = -2.24901e-07 | ‖∇‖ = 6.38521e-06
iter 205 | Ω_tilde = 4.264394993e-02 | ΔΩ = -2.19439e-07 | ‖∇‖ = 6.35716e-06
iter 206 | Ω_tilde = 4.264373582e-02 | ΔΩ = -2.14112e-07 | ‖∇‖ = 6.32923e-06
iter 207 | Ω_tilde = 4.264352690e-02 | ΔΩ = -2.08916e-07 | ‖∇‖ = 6.30143e-06
iter 208 | Ω_tilde = 4.264332306e-02 | ΔΩ = -2.03847e-07 | ‖∇‖ = 6.27375e-06
iter 209 | Ω_tilde = 4.264312415e-02 | ΔΩ = -1.98903e-07 | ‖∇‖ = 6.24619e-06
iter 210 | Ω_tilde = 4.264293007e-02 | ΔΩ = -1.94081e-07 | ‖∇‖ = 6.21876e-06
iter 211 | Ω_tilde = 4.264274069e-02 | ΔΩ = -1.89377e-07 | ‖∇‖ = 6.19145e-06
iter 212 | Ω_tilde = 4.264255590e-02 | ΔΩ = -1.84789e-07 | ‖∇‖ = 6.16426e-06
iter 213 | Ω_tilde = 4.264237559e-02 | ΔΩ = -1.80313e-07 | ‖∇‖ = 6.13720e-06
iter 214 | Ω_tilde = 4.264219965e-02 | ΔΩ = -1.75946e-07 | ‖∇‖ = 6.11025e-06
iter 215 | Ω_tilde = 4.264202796e-02 | ΔΩ = -1.71687e-07 | ‖∇‖ = 6.08343e-06
iter 216 | Ω_tilde = 4.264186043e-02 | ΔΩ = -1.67532e-07 | ‖∇‖ = 6.05672e-06
iter 217 | Ω_tilde = 4.264169695e-02 | ΔΩ = -1.63478e-07 | ‖∇‖ = 6.03014e-06
iter 218 | Ω_tilde = 4.264153743e-02 | ΔΩ = -1.59524e-07 | ‖∇‖ = 6.00367e-06
iter 219 | Ω_tilde = 4.264138176e-02 | ΔΩ = -1.55667e-07 | ‖∇‖ = 5.97732e-06
iter 220 | Ω_tilde = 4.264122986e-02 | ΔΩ = -1.51903e-07 | ‖∇‖ = 5.95109e-06
iter 221 | Ω_tilde = 4.264108162e-02 | ΔΩ = -1.48232e-07 | ‖∇‖ = 5.92497e-06
iter 222 | Ω_tilde = 4.264093697e-02 | ΔΩ = -1.44650e-07 | ‖∇‖ = 5.89897e-06
iter 223 | Ω_tilde = 4.264079582e-02 | ΔΩ = -1.41156e-07 | ‖∇‖ = 5.87309e-06
iter 224 | Ω_tilde = 4.264065807e-02 | ΔΩ = -1.37747e-07 | ‖∇‖ = 5.84732e-06
iter 225 | Ω_tilde = 4.264052365e-02 | ΔΩ = -1.34421e-07 | ‖∇‖ = 5.82167e-06
iter 226 | Ω_tilde = 4.264039247e-02 | ΔΩ = -1.31176e-07 | ‖∇‖ = 5.79613e-06
iter 227 | Ω_tilde = 4.264026446e-02 | ΔΩ = -1.28011e-07 | ‖∇‖ = 5.77070e-06
iter 228 | Ω_tilde = 4.264013954e-02 | ΔΩ = -1.24922e-07 | ‖∇‖ = 5.74539e-06
iter 229 | Ω_tilde = 4.264001763e-02 | ΔΩ = -1.21909e-07 | ‖∇‖ = 5.72019e-06
iter 230 | Ω_tilde = 4.263989866e-02 | ΔΩ = -1.18969e-07 | ‖∇‖ = 5.69511e-06
iter 231 | Ω_tilde = 4.263978256e-02 | ΔΩ = -1.16100e-07 | ‖∇‖ = 5.67013e-06
iter 232 | Ω_tilde = 4.263966926e-02 | ΔΩ = -1.13302e-07 | ‖∇‖ = 5.64527e-06
iter 233 | Ω_tilde = 4.263955869e-02 | ΔΩ = -1.10571e-07 | ‖∇‖ = 5.62051e-06
iter 234 | Ω_tilde = 4.263945078e-02 | ΔΩ = -1.07907e-07 | ‖∇‖ = 5.59587e-06
iter 235 | Ω_tilde = 4.263934547e-02 | ΔΩ = -1.05307e-07 | ‖∇‖ = 5.57133e-06
iter 236 | Ω_tilde = 4.263924270e-02 | ΔΩ = -1.02771e-07 | ‖∇‖ = 5.54691e-06
iter 237 | Ω_tilde = 4.263914241e-02 | ΔΩ = -1.00296e-07 | ‖∇‖ = 5.52259e-06
iter 238 | Ω_tilde = 4.263904453e-02 | ΔΩ = -9.78814e-08 | ‖∇‖ = 5.49838e-06
iter 239 | Ω_tilde = 4.263894900e-02 | ΔΩ = -9.55254e-08 | ‖∇‖ = 5.47428e-06
iter 240 | Ω_tilde = 4.263885577e-02 | ΔΩ = -9.32264e-08 | ‖∇‖ = 5.45029e-06
iter 241 | Ω_tilde = 4.263876479e-02 | ΔΩ = -9.09833e-08 | ‖∇‖ = 5.42640e-06
iter 242 | Ω_tilde = 4.263867600e-02 | ΔΩ = -8.87945e-08 | ‖∇‖ = 5.40262e-06
iter 243 | Ω_tilde = 4.263858934e-02 | ΔΩ = -8.66588e-08 | ‖∇‖ = 5.37894e-06
iter 244 | Ω_tilde = 4.263850476e-02 | ΔΩ = -8.45748e-08 | ‖∇‖ = 5.35537e-06
iter 245 | Ω_tilde = 4.263842222e-02 | ΔΩ = -8.25413e-08 | ‖∇‖ = 5.33190e-06
iter 246 | Ω_tilde = 4.263834166e-02 | ΔΩ = -8.05571e-08 | ‖∇‖ = 5.30854e-06
iter 247 | Ω_tilde = 4.263826304e-02 | ΔΩ = -7.86209e-08 | ‖∇‖ = 5.28528e-06
iter 248 | Ω_tilde = 4.263818631e-02 | ΔΩ = -7.67316e-08 | ‖∇‖ = 5.26213e-06
iter 249 | Ω_tilde = 4.263811142e-02 | ΔΩ = -7.48880e-08 | ‖∇‖ = 5.23907e-06
iter 250 | Ω_tilde = 4.263803834e-02 | ΔΩ = -7.30889e-08 | ‖∇‖ = 5.21612e-06
iter 251 | Ω_tilde = 4.263796700e-02 | ΔΩ = -7.13335e-08 | ‖∇‖ = 5.19327e-06
iter 252 | Ω_tilde = 4.263789738e-02 | ΔΩ = -6.96204e-08 | ‖∇‖ = 5.17053e-06
iter 253 | Ω_tilde = 4.263782943e-02 | ΔΩ = -6.79488e-08 | ‖∇‖ = 5.14788e-06
iter 254 | Ω_tilde = 4.263776312e-02 | ΔΩ = -6.63175e-08 | ‖∇‖ = 5.12533e-06
iter 255 | Ω_tilde = 4.263769839e-02 | ΔΩ = -6.47257e-08 | ‖∇‖ = 5.10289e-06
iter 256 | Ω_tilde = 4.263763522e-02 | ΔΩ = -6.31724e-08 | ‖∇‖ = 5.08054e-06
iter 257 | Ω_tilde = 4.263757356e-02 | ΔΩ = -6.16564e-08 | ‖∇‖ = 5.05829e-06
iter 258 | Ω_tilde = 4.263751338e-02 | ΔΩ = -6.01772e-08 | ‖∇‖ = 5.03615e-06
iter 259 | Ω_tilde = 4.263745465e-02 | ΔΩ = -5.87337e-08 | ‖∇‖ = 5.01409e-06
iter 260 | Ω_tilde = 4.263739732e-02 | ΔΩ = -5.73249e-08 | ‖∇‖ = 4.99214e-06
iter 261 | Ω_tilde = 4.263734137e-02 | ΔΩ = -5.59503e-08 | ‖∇‖ = 4.97028e-06
iter 262 | Ω_tilde = 4.263728677e-02 | ΔΩ = -5.46087e-08 | ‖∇‖ = 4.94853e-06
iter 263 | Ω_tilde = 4.263723347e-02 | ΔΩ = -5.32994e-08 | ‖∇‖ = 4.92686e-06
iter 264 | Ω_tilde = 4.263718144e-02 | ΔΩ = -5.20219e-08 | ‖∇‖ = 4.90530e-06
iter 265 | Ω_tilde = 4.263713067e-02 | ΔΩ = -5.07751e-08 | ‖∇‖ = 4.88382e-06
iter 266 | Ω_tilde = 4.263708111e-02 | ΔΩ = -4.95583e-08 | ‖∇‖ = 4.86245e-06
iter 267 | Ω_tilde = 4.263703274e-02 | ΔΩ = -4.83708e-08 | ‖∇‖ = 4.84117e-06
iter 268 | Ω_tilde = 4.263698553e-02 | ΔΩ = -4.72120e-08 | ‖∇‖ = 4.81998e-06
iter 269 | Ω_tilde = 4.263693945e-02 | ΔΩ = -4.60810e-08 | ‖∇‖ = 4.79888e-06
iter 270 | Ω_tilde = 4.263689447e-02 | ΔΩ = -4.49774e-08 | ‖∇‖ = 4.77788e-06
iter 271 | Ω_tilde = 4.263685057e-02 | ΔΩ = -4.39002e-08 | ‖∇‖ = 4.75698e-06
iter 272 | Ω_tilde = 4.263680772e-02 | ΔΩ = -4.28491e-08 | ‖∇‖ = 4.73616e-06
iter 273 | Ω_tilde = 4.263676590e-02 | ΔΩ = -4.18232e-08 | ‖∇‖ = 4.71544e-06
iter 274 | Ω_tilde = 4.263672508e-02 | ΔΩ = -4.08220e-08 | ‖∇‖ = 4.69481e-06
iter 275 | Ω_tilde = 4.263668523e-02 | ΔΩ = -3.98449e-08 | ‖∇‖ = 4.67426e-06
iter 276 | Ω_tilde = 4.263664634e-02 | ΔΩ = -3.88913e-08 | ‖∇‖ = 4.65382e-06
iter 277 | Ω_tilde = 4.263660838e-02 | ΔΩ = -3.79606e-08 | ‖∇‖ = 4.63346e-06
iter 278 | Ω_tilde = 4.263657133e-02 | ΔΩ = -3.70523e-08 | ‖∇‖ = 4.61319e-06
iter 279 | Ω_tilde = 4.263653516e-02 | ΔΩ = -3.61659e-08 | ‖∇‖ = 4.59301e-06
iter 280 | Ω_tilde = 4.263649986e-02 | ΔΩ = -3.53008e-08 | ‖∇‖ = 4.57292e-06
iter 281 | Ω_tilde = 4.263646540e-02 | ΔΩ = -3.44564e-08 | ‖∇‖ = 4.55292e-06
iter 282 | Ω_tilde = 4.263643177e-02 | ΔΩ = -3.36324e-08 | ‖∇‖ = 4.53300e-06
iter 283 | Ω_tilde = 4.263639894e-02 | ΔΩ = -3.28281e-08 | ‖∇‖ = 4.51318e-06
iter 284 | Ω_tilde = 4.263636690e-02 | ΔΩ = -3.20432e-08 | ‖∇‖ = 4.49344e-06
iter 285 | Ω_tilde = 4.263633562e-02 | ΔΩ = -3.12771e-08 | ‖∇‖ = 4.47379e-06
iter 286 | Ω_tilde = 4.263630509e-02 | ΔΩ = -3.05295e-08 | ‖∇‖ = 4.45423e-06
iter 287 | Ω_tilde = 4.263627529e-02 | ΔΩ = -2.97997e-08 | ‖∇‖ = 4.43475e-06
iter 288 | Ω_tilde = 4.263624621e-02 | ΔΩ = -2.90875e-08 | ‖∇‖ = 4.41536e-06
iter 289 | Ω_tilde = 4.263621781e-02 | ΔΩ = -2.83925e-08 | ‖∇‖ = 4.39605e-06
iter 290 | Ω_tilde = 4.263619010e-02 | ΔΩ = -2.77140e-08 | ‖∇‖ = 4.37683e-06
iter 291 | Ω_tilde = 4.263616305e-02 | ΔΩ = -2.70519e-08 | ‖∇‖ = 4.35770e-06
iter 292 | Ω_tilde = 4.263613664e-02 | ΔΩ = -2.64057e-08 | ‖∇‖ = 4.33865e-06
iter 293 | Ω_tilde = 4.263611087e-02 | ΔΩ = -2.57749e-08 | ‖∇‖ = 4.31968e-06
iter 294 | Ω_tilde = 4.263608571e-02 | ΔΩ = -2.51593e-08 | ‖∇‖ = 4.30080e-06
iter 295 | Ω_tilde = 4.263606115e-02 | ΔΩ = -2.45584e-08 | ‖∇‖ = 4.28200e-06
iter 296 | Ω_tilde = 4.263603718e-02 | ΔΩ = -2.39720e-08 | ‖∇‖ = 4.26328e-06
iter 297 | Ω_tilde = 4.263601378e-02 | ΔΩ = -2.33996e-08 | ‖∇‖ = 4.24465e-06
iter 298 | Ω_tilde = 4.263599094e-02 | ΔΩ = -2.28409e-08 | ‖∇‖ = 4.22610e-06
iter 299 | Ω_tilde = 4.263596864e-02 | ΔΩ = -2.22957e-08 | ‖∇‖ = 4.20763e-06
iter 300 | Ω_tilde = 4.263594688e-02 | ΔΩ = -2.17635e-08 | ‖∇‖ = 4.18924e-06
iter 301 | Ω_tilde = 4.263592563e-02 | ΔΩ = -2.12440e-08 | ‖∇‖ = 4.17093e-06
iter 302 | Ω_tilde = 4.263590490e-02 | ΔΩ = -2.07370e-08 | ‖∇‖ = 4.15271e-06
iter 303 | Ω_tilde = 4.263588465e-02 | ΔΩ = -2.02421e-08 | ‖∇‖ = 4.13456e-06
iter 304 | Ω_tilde = 4.263586489e-02 | ΔΩ = -1.97592e-08 | ‖∇‖ = 4.11649e-06
iter 305 | Ω_tilde = 4.263584561e-02 | ΔΩ = -1.92878e-08 | ‖∇‖ = 4.09851e-06
iter 306 | Ω_tilde = 4.263582678e-02 | ΔΩ = -1.88276e-08 | ‖∇‖ = 4.08060e-06
iter 307 | Ω_tilde = 4.263580840e-02 | ΔΩ = -1.83785e-08 | ‖∇‖ = 4.06277e-06
iter 308 | Ω_tilde = 4.263579046e-02 | ΔΩ = -1.79401e-08 | ‖∇‖ = 4.04503e-06
iter 309 | Ω_tilde = 4.263577295e-02 | ΔΩ = -1.75122e-08 | ‖∇‖ = 4.02735e-06
iter 310 | Ω_tilde = 4.263575585e-02 | ΔΩ = -1.70946e-08 | ‖∇‖ = 4.00976e-06
iter 311 | Ω_tilde = 4.263573917e-02 | ΔΩ = -1.66869e-08 | ‖∇‖ = 3.99225e-06
iter 312 | Ω_tilde = 4.263572288e-02 | ΔΩ = -1.62891e-08 | ‖∇‖ = 3.97481e-06
iter 313 | Ω_tilde = 4.263570698e-02 | ΔΩ = -1.59007e-08 | ‖∇‖ = 3.95745e-06
iter 314 | Ω_tilde = 4.263569146e-02 | ΔΩ = -1.55216e-08 | ‖∇‖ = 3.94016e-06
iter 315 | Ω_tilde = 4.263567630e-02 | ΔΩ = -1.51516e-08 | ‖∇‖ = 3.92295e-06
iter 316 | Ω_tilde = 4.263566151e-02 | ΔΩ = -1.47905e-08 | ‖∇‖ = 3.90582e-06
iter 317 | Ω_tilde = 4.263564708e-02 | ΔΩ = -1.44380e-08 | ‖∇‖ = 3.88876e-06
iter 318 | Ω_tilde = 4.263563298e-02 | ΔΩ = -1.40939e-08 | ‖∇‖ = 3.87178e-06
iter 319 | Ω_tilde = 4.263561922e-02 | ΔΩ = -1.37580e-08 | ‖∇‖ = 3.85487e-06
iter 320 | Ω_tilde = 4.263560579e-02 | ΔΩ = -1.34302e-08 | ‖∇‖ = 3.83804e-06
iter 321 | Ω_tilde = 4.263559268e-02 | ΔΩ = -1.31102e-08 | ‖∇‖ = 3.82128e-06
iter 322 | Ω_tilde = 4.263557989e-02 | ΔΩ = -1.27978e-08 | ‖∇‖ = 3.80460e-06
iter 323 | Ω_tilde = 4.263556739e-02 | ΔΩ = -1.24930e-08 | ‖∇‖ = 3.78799e-06
iter 324 | Ω_tilde = 4.263555520e-02 | ΔΩ = -1.21954e-08 | ‖∇‖ = 3.77145e-06
iter 325 | Ω_tilde = 4.263554329e-02 | ΔΩ = -1.19050e-08 | ‖∇‖ = 3.75498e-06
iter 326 | Ω_tilde = 4.263553167e-02 | ΔΩ = -1.16214e-08 | ‖∇‖ = 3.73859e-06
iter 327 | Ω_tilde = 4.263552033e-02 | ΔΩ = -1.13446e-08 | ‖∇‖ = 3.72227e-06
iter 328 | Ω_tilde = 4.263550925e-02 | ΔΩ = -1.10744e-08 | ‖∇‖ = 3.70602e-06
iter 329 | Ω_tilde = 4.263549844e-02 | ΔΩ = -1.08108e-08 | ‖∇‖ = 3.68985e-06
iter 330 | Ω_tilde = 4.263548789e-02 | ΔΩ = -1.05534e-08 | ‖∇‖ = 3.67374e-06
iter 331 | Ω_tilde = 4.263547759e-02 | ΔΩ = -1.03021e-08 | ‖∇‖ = 3.65770e-06
iter 332 | Ω_tilde = 4.263546753e-02 | ΔΩ = -1.00568e-08 | ‖∇‖ = 3.64174e-06
iter 333 | Ω_tilde = 4.263545771e-02 | ΔΩ = -9.81745e-09 | ‖∇‖ = 3.62585e-06
iter 334 | Ω_tilde = 4.263544813e-02 | ΔΩ = -9.58376e-09 | ‖∇‖ = 3.61002e-06
iter 335 | Ω_tilde = 4.263543877e-02 | ΔΩ = -9.35568e-09 | ‖∇‖ = 3.59427e-06
iter 336 | Ω_tilde = 4.263542964e-02 | ΔΩ = -9.13302e-09 | ‖∇‖ = 3.57858e-06
iter 337 | Ω_tilde = 4.263542072e-02 | ΔΩ = -8.91564e-09 | ‖∇‖ = 3.56297e-06
iter 338 | Ω_tilde = 4.263541202e-02 | ΔΩ = -8.70353e-09 | ‖∇‖ = 3.54742e-06
iter 339 | Ω_tilde = 4.263540352e-02 | ΔΩ = -8.49640e-09 | ‖∇‖ = 3.53194e-06
iter 340 | Ω_tilde = 4.263539523e-02 | ΔΩ = -8.29424e-09 | ‖∇‖ = 3.51653e-06
iter 341 | Ω_tilde = 4.263538713e-02 | ΔΩ = -8.09692e-09 | ‖∇‖ = 3.50119e-06
iter 342 | Ω_tilde = 4.263537923e-02 | ΔΩ = -7.90430e-09 | ‖∇‖ = 3.48591e-06
iter 343 | Ω_tilde = 4.263537151e-02 | ΔΩ = -7.71629e-09 | ‖∇‖ = 3.47071e-06
iter 344 | Ω_tilde = 4.263536398e-02 | ΔΩ = -7.53268e-09 | ‖∇‖ = 3.45557e-06
iter 345 | Ω_tilde = 4.263535663e-02 | ΔΩ = -7.35356e-09 | ‖∇‖ = 3.44049e-06
iter 346 | Ω_tilde = 4.263534945e-02 | ΔΩ = -7.17866e-09 | ‖∇‖ = 3.42548e-06
iter 347 | Ω_tilde = 4.263534244e-02 | ΔΩ = -7.00797e-09 | ‖∇‖ = 3.41054e-06
iter 348 | Ω_tilde = 4.263533560e-02 | ΔΩ = -6.84130e-09 | ‖∇‖ = 3.39566e-06
iter 349 | Ω_tilde = 4.263532892e-02 | ΔΩ = -6.67863e-09 | ‖∇‖ = 3.38085e-06
iter 350 | Ω_tilde = 4.263532240e-02 | ΔΩ = -6.51978e-09 | ‖∇‖ = 3.36611e-06
iter 351 | Ω_tilde = 4.263531603e-02 | ΔΩ = -6.36483e-09 | ‖∇‖ = 3.35143e-06
iter 352 | Ω_tilde = 4.263530982e-02 | ΔΩ = -6.21349e-09 | ‖∇‖ = 3.33681e-06
iter 353 | Ω_tilde = 4.263530375e-02 | ΔΩ = -6.06578e-09 | ‖∇‖ = 3.32226e-06
iter 354 | Ω_tilde = 4.263529783e-02 | ΔΩ = -5.92154e-09 | ‖∇‖ = 3.30777e-06
iter 355 | Ω_tilde = 4.263529205e-02 | ΔΩ = -5.78087e-09 | ‖∇‖ = 3.29335e-06
iter 356 | Ω_tilde = 4.263528641e-02 | ΔΩ = -5.64345e-09 | ‖∇‖ = 3.27899e-06
iter 357 | Ω_tilde = 4.263528090e-02 | ΔΩ = -5.50928e-09 | ‖∇‖ = 3.26469e-06
iter 358 | Ω_tilde = 4.263527552e-02 | ΔΩ = -5.37835e-09 | ‖∇‖ = 3.25045e-06
iter 359 | Ω_tilde = 4.263527027e-02 | ΔΩ = -5.25056e-09 | ‖∇‖ = 3.23628e-06
iter 360 | Ω_tilde = 4.263526515e-02 | ΔΩ = -5.12579e-09 | ‖∇‖ = 3.22217e-06
iter 361 | Ω_tilde = 4.263526014e-02 | ΔΩ = -5.00396e-09 | ‖∇‖ = 3.20812e-06
iter 362 | Ω_tilde = 4.263525526e-02 | ΔΩ = -4.88507e-09 | ‖∇‖ = 3.19414e-06
iter 363 | Ω_tilde = 4.263525049e-02 | ΔΩ = -4.76905e-09 | ‖∇‖ = 3.18021e-06
iter 364 | Ω_tilde = 4.263524583e-02 | ΔΩ = -4.65573e-09 | ‖∇‖ = 3.16635e-06
iter 365 | Ω_tilde = 4.263524129e-02 | ΔΩ = -4.54510e-09 | ‖∇‖ = 3.15255e-06
iter 366 | Ω_tilde = 4.263523685e-02 | ΔΩ = -4.43717e-09 | ‖∇‖ = 3.13880e-06
iter 367 | Ω_tilde = 4.263523252e-02 | ΔΩ = -4.33175e-09 | ‖∇‖ = 3.12512e-06
iter 368 | Ω_tilde = 4.263522829e-02 | ΔΩ = -4.22888e-09 | ‖∇‖ = 3.11150e-06
iter 369 | Ω_tilde = 4.263522416e-02 | ΔΩ = -4.12841e-09 | ‖∇‖ = 3.09794e-06
iter 370 | Ω_tilde = 4.263522013e-02 | ΔΩ = -4.03039e-09 | ‖∇‖ = 3.08444e-06
iter 371 | Ω_tilde = 4.263521619e-02 | ΔΩ = -3.93464e-09 | ‖∇‖ = 3.07100e-06
iter 372 | Ω_tilde = 4.263521235e-02 | ΔΩ = -3.84123e-09 | ‖∇‖ = 3.05761e-06
iter 373 | Ω_tilde = 4.263520860e-02 | ΔΩ = -3.75002e-09 | ‖∇‖ = 3.04429e-06
iter 374 | Ω_tilde = 4.263520494e-02 | ΔΩ = -3.66098e-09 | ‖∇‖ = 3.03102e-06
iter 375 | Ω_tilde = 4.263520137e-02 | ΔΩ = -3.57403e-09 | ‖∇‖ = 3.01781e-06
iter 376 | Ω_tilde = 4.263519788e-02 | ΔΩ = -3.48916e-09 | ‖∇‖ = 3.00466e-06
iter 377 | Ω_tilde = 4.263519447e-02 | ΔΩ = -3.40641e-09 | ‖∇‖ = 2.99157e-06
iter 378 | Ω_tilde = 4.263519115e-02 | ΔΩ = -3.32548e-09 | ‖∇‖ = 2.97854e-06
iter 379 | Ω_tilde = 4.263518790e-02 | ΔΩ = -3.24653e-09 | ‖∇‖ = 2.96556e-06
iter 380 | Ω_tilde = 4.263518473e-02 | ΔΩ = -3.16949e-09 | ‖∇‖ = 2.95264e-06
iter 381 | Ω_tilde = 4.263518164e-02 | ΔΩ = -3.09425e-09 | ‖∇‖ = 2.93978e-06
iter 382 | Ω_tilde = 4.263517862e-02 | ΔΩ = -3.02078e-09 | ‖∇‖ = 2.92697e-06
iter 383 | Ω_tilde = 4.263517567e-02 | ΔΩ = -2.94913e-09 | ‖∇‖ = 2.91422e-06
iter 384 | Ω_tilde = 4.263517279e-02 | ΔΩ = -2.87912e-09 | ‖∇‖ = 2.90152e-06
iter 385 | Ω_tilde = 4.263516998e-02 | ΔΩ = -2.81079e-09 | ‖∇‖ = 2.88889e-06
iter 386 | Ω_tilde = 4.263516723e-02 | ΔΩ = -2.74407e-09 | ‖∇‖ = 2.87630e-06
iter 387 | Ω_tilde = 4.263516455e-02 | ΔΩ = -2.67897e-09 | ‖∇‖ = 2.86377e-06
iter 388 | Ω_tilde = 4.263516194e-02 | ΔΩ = -2.61541e-09 | ‖∇‖ = 2.85130e-06
iter 389 | Ω_tilde = 4.263515939e-02 | ΔΩ = -2.55337e-09 | ‖∇‖ = 2.83888e-06
iter 390 | Ω_tilde = 4.263515689e-02 | ΔΩ = -2.49278e-09 | ‖∇‖ = 2.82652e-06
iter 391 | Ω_tilde = 4.263515446e-02 | ΔΩ = -2.43359e-09 | ‖∇‖ = 2.81421e-06
iter 392 | Ω_tilde = 4.263515208e-02 | ΔΩ = -2.37593e-09 | ‖∇‖ = 2.80195e-06
iter 393 | Ω_tilde = 4.263514976e-02 | ΔΩ = -2.31953e-09 | ‖∇‖ = 2.78975e-06
iter 394 | Ω_tilde = 4.263514750e-02 | ΔΩ = -2.26450e-09 | ‖∇‖ = 2.77760e-06
iter 395 | Ω_tilde = 4.263514529e-02 | ΔΩ = -2.21080e-09 | ‖∇‖ = 2.76551e-06
iter 396 | Ω_tilde = 4.263514313e-02 | ΔΩ = -2.15836e-09 | ‖∇‖ = 2.75347e-06
iter 397 | Ω_tilde = 4.263514102e-02 | ΔΩ = -2.10715e-09 | ‖∇‖ = 2.74148e-06
iter 398 | Ω_tilde = 4.263513897e-02 | ΔΩ = -2.05718e-09 | ‖∇‖ = 2.72954e-06
iter 399 | Ω_tilde = 4.263513696e-02 | ΔΩ = -2.00841e-09 | ‖∇‖ = 2.71766e-06
iter 400 | Ω_tilde = 4.263513500e-02 | ΔΩ = -1.96081e-09 | ‖∇‖ = 2.70583e-06
iter 401 | Ω_tilde = 4.263513308e-02 | ΔΩ = -1.91425e-09 | ‖∇‖ = 2.69405e-06
iter 402 | Ω_tilde = 4.263513121e-02 | ΔΩ = -1.86887e-09 | ‖∇‖ = 2.68232e-06
iter 403 | Ω_tilde = 4.263512939e-02 | ΔΩ = -1.82457e-09 | ‖∇‖ = 2.67064e-06
iter 404 | Ω_tilde = 4.263512761e-02 | ΔΩ = -1.78130e-09 | ‖∇‖ = 2.65901e-06
iter 405 | Ω_tilde = 4.263512587e-02 | ΔΩ = -1.73908e-09 | ‖∇‖ = 2.64744e-06
iter 406 | Ω_tilde = 4.263512417e-02 | ΔΩ = -1.69779e-09 | ‖∇‖ = 2.63592e-06
iter 407 | Ω_tilde = 4.263512251e-02 | ΔΩ = -1.65761e-09 | ‖∇‖ = 2.62444e-06
iter 408 | Ω_tilde = 4.263512089e-02 | ΔΩ = -1.61831e-09 | ‖∇‖ = 2.61302e-06
iter 409 | Ω_tilde = 4.263511932e-02 | ΔΩ = -1.57991e-09 | ‖∇‖ = 2.60165e-06
iter 410 | Ω_tilde = 4.263511777e-02 | ΔΩ = -1.54249e-09 | ‖∇‖ = 2.59032e-06
iter 411 | Ω_tilde = 4.263511627e-02 | ΔΩ = -1.50589e-09 | ‖∇‖ = 2.57905e-06
iter 412 | Ω_tilde = 4.263511480e-02 | ΔΩ = -1.47020e-09 | ‖∇‖ = 2.56783e-06
iter 413 | Ω_tilde = 4.263511336e-02 | ΔΩ = -1.43535e-09 | ‖∇‖ = 2.55665e-06
iter 414 | Ω_tilde = 4.263511196e-02 | ΔΩ = -1.40134e-09 | ‖∇‖ = 2.54553e-06
iter 415 | Ω_tilde = 4.263511059e-02 | ΔΩ = -1.36812e-09 | ‖∇‖ = 2.53445e-06
iter 416 | Ω_tilde = 4.263510926e-02 | ΔΩ = -1.33571e-09 | ‖∇‖ = 2.52342e-06
iter 417 | Ω_tilde = 4.263510795e-02 | ΔΩ = -1.30405e-09 | ‖∇‖ = 2.51244e-06
iter 418 | Ω_tilde = 4.263510668e-02 | ΔΩ = -1.27314e-09 | ‖∇‖ = 2.50151e-06
iter 419 | Ω_tilde = 4.263510544e-02 | ΔΩ = -1.24296e-09 | ‖∇‖ = 2.49063e-06
iter 420 | Ω_tilde = 4.263510422e-02 | ΔΩ = -1.21354e-09 | ‖∇‖ = 2.47979e-06
iter 421 | Ω_tilde = 4.263510304e-02 | ΔΩ = -1.18481e-09 | ‖∇‖ = 2.46900e-06
iter 422 | Ω_tilde = 4.263510188e-02 | ΔΩ = -1.15666e-09 | ‖∇‖ = 2.45826e-06
iter 423 | Ω_tilde = 4.263510075e-02 | ΔΩ = -1.12931e-09 | ‖∇‖ = 2.44757e-06
iter 424 | Ω_tilde = 4.263509965e-02 | ΔΩ = -1.10254e-09 | ‖∇‖ = 2.43692e-06
iter 425 | Ω_tilde = 4.263509857e-02 | ΔΩ = -1.07639e-09 | ‖∇‖ = 2.42632e-06
iter 426 | Ω_tilde = 4.263509752e-02 | ΔΩ = -1.05091e-09 | ‖∇‖ = 2.41577e-06
iter 427 | Ω_tilde = 4.263509650e-02 | ΔΩ = -1.02603e-09 | ‖∇‖ = 2.40526e-06
iter 428 | Ω_tilde = 4.263509549e-02 | ΔΩ = -1.00171e-09 | ‖∇‖ = 2.39480e-06
iter 429 | Ω_tilde = 4.263509452e-02 | ΔΩ = -9.77999e-10 | ‖∇‖ = 2.38438e-06
iter 430 | Ω_tilde = 4.263509356e-02 | ΔΩ = -9.54800e-10 | ‖∇‖ = 2.37401e-06
iter 431 | Ω_tilde = 4.263509263e-02 | ΔΩ = -9.32200e-10 | ‖∇‖ = 2.36369e-06
iter 432 | Ω_tilde = 4.263509172e-02 | ΔΩ = -9.10107e-10 | ‖∇‖ = 2.35341e-06
iter 433 | Ω_tilde = 4.263509083e-02 | ΔΩ = -8.88544e-10 | ‖∇‖ = 2.34317e-06
iter 434 | Ω_tilde = 4.263508996e-02 | ΔΩ = -8.67510e-10 | ‖∇‖ = 2.33298e-06
iter 435 | Ω_tilde = 4.263508912e-02 | ΔΩ = -8.47007e-10 | ‖∇‖ = 2.32284e-06
iter 436 | Ω_tilde = 4.263508829e-02 | ΔΩ = -8.26895e-10 | ‖∇‖ = 2.31274e-06
iter 437 | Ω_tilde = 4.263508748e-02 | ΔΩ = -8.07336e-10 | ‖∇‖ = 2.30268e-06
iter 438 | Ω_tilde = 4.263508669e-02 | ΔΩ = -7.88237e-10 | ‖∇‖ = 2.29267e-06
iter 439 | Ω_tilde = 4.263508592e-02 | ΔΩ = -7.69531e-10 | ‖∇‖ = 2.28270e-06
iter 440 | Ω_tilde = 4.263508517e-02 | ΔΩ = -7.51331e-10 | ‖∇‖ = 2.27278e-06
iter 441 | Ω_tilde = 4.263508444e-02 | ΔΩ = -7.33546e-10 | ‖∇‖ = 2.26290e-06
iter 442 | Ω_tilde = 4.263508372e-02 | ΔΩ = -7.16152e-10 | ‖∇‖ = 2.25306e-06
iter 443 | Ω_tilde = 4.263508302e-02 | ΔΩ = -6.99196e-10 | ‖∇‖ = 2.24326e-06
iter 444 | Ω_tilde = 4.263508234e-02 | ΔΩ = -6.82655e-10 | ‖∇‖ = 2.23351e-06
iter 445 | Ω_tilde = 4.263508167e-02 | ΔΩ = -6.66506e-10 | ‖∇‖ = 2.22380e-06
iter 446 | Ω_tilde = 4.263508102e-02 | ΔΩ = -6.50725e-10 | ‖∇‖ = 2.21414e-06
iter 447 | Ω_tilde = 4.263508039e-02 | ΔΩ = -6.35290e-10 | ‖∇‖ = 2.20451e-06
iter 448 | Ω_tilde = 4.263507977e-02 | ΔΩ = -6.20269e-10 | ‖∇‖ = 2.19493e-06
iter 449 | Ω_tilde = 4.263507916e-02 | ΔΩ = -6.05594e-10 | ‖∇‖ = 2.18539e-06
iter 450 | Ω_tilde = 4.263507857e-02 | ΔΩ = -5.91241e-10 | ‖∇‖ = 2.17589e-06
iter 451 | Ω_tilde = 4.263507799e-02 | ΔΩ = -5.77257e-10 | ‖∇‖ = 2.16643e-06
iter 452 | Ω_tilde = 4.263507743e-02 | ΔΩ = -5.63619e-10 | ‖∇‖ = 2.15702e-06
iter 453 | Ω_tilde = 4.263507688e-02 | ΔΩ = -5.50234e-10 | ‖∇‖ = 2.14765e-06
iter 454 | Ω_tilde = 4.263507634e-02 | ΔΩ = -5.37218e-10 | ‖∇‖ = 2.13831e-06
iter 455 | Ω_tilde = 4.263507582e-02 | ΔΩ = -5.24501e-10 | ‖∇‖ = 2.12902e-06
iter 456 | Ω_tilde = 4.263507531e-02 | ΔΩ = -5.12084e-10 | ‖∇‖ = 2.11977e-06
iter 457 | Ω_tilde = 4.263507481e-02 | ΔΩ = -4.99989e-10 | ‖∇‖ = 2.11056e-06
iter 458 | Ω_tilde = 4.263507432e-02 | ΔΩ = -4.88147e-10 | ‖∇‖ = 2.10139e-06
iter 459 | Ω_tilde = 4.263507384e-02 | ΔΩ = -4.76605e-10 | ‖∇‖ = 2.09226e-06
iter 460 | Ω_tilde = 4.263507338e-02 | ΔΩ = -4.65271e-10 | ‖∇‖ = 2.08317e-06
iter 461 | Ω_tilde = 4.263507292e-02 | ΔΩ = -4.54351e-10 | ‖∇‖ = 2.07412e-06
iter 462 | Ω_tilde = 4.263507248e-02 | ΔΩ = -4.43569e-10 | ‖∇‖ = 2.06510e-06
iter 463 | Ω_tilde = 4.263507205e-02 | ΔΩ = -4.33064e-10 | ‖∇‖ = 2.05613e-06
iter 464 | Ω_tilde = 4.263507162e-02 | ΔΩ = -4.22789e-10 | ‖∇‖ = 2.04720e-06
iter 465 | Ω_tilde = 4.263507121e-02 | ΔΩ = -4.12791e-10 | ‖∇‖ = 2.03831e-06
iter 466 | Ω_tilde = 4.263507081e-02 | ΔΩ = -4.03092e-10 | ‖∇‖ = 2.02945e-06
iter 467 | Ω_tilde = 4.263507041e-02 | ΔΩ = -3.93485e-10 | ‖∇‖ = 2.02064e-06
iter 468 | Ω_tilde = 4.263507003e-02 | ΔΩ = -3.84178e-10 | ‖∇‖ = 2.01186e-06
iter 469 | Ω_tilde = 4.263506965e-02 | ΔΩ = -3.75101e-10 | ‖∇‖ = 2.00312e-06
iter 470 | Ω_tilde = 4.263506929e-02 | ΔΩ = -3.66231e-10 | ‖∇‖ = 1.99442e-06
iter 471 | Ω_tilde = 4.263506893e-02 | ΔΩ = -3.57546e-10 | ‖∇‖ = 1.98576e-06
iter 472 | Ω_tilde = 4.263506858e-02 | ΔΩ = -3.49091e-10 | ‖∇‖ = 1.97714e-06
iter 473 | Ω_tilde = 4.263506824e-02 | ΔΩ = -3.40890e-10 | ‖∇‖ = 1.96855e-06
iter 474 | Ω_tilde = 4.263506791e-02 | ΔΩ = -3.32758e-10 | ‖∇‖ = 1.96000e-06
iter 475 | Ω_tilde = 4.263506758e-02 | ΔΩ = -3.24925e-10 | ‖∇‖ = 1.95149e-06
iter 476 | Ω_tilde = 4.263506727e-02 | ΔΩ = -3.17230e-10 | ‖∇‖ = 1.94301e-06
iter 477 | Ω_tilde = 4.263506696e-02 | ΔΩ = -3.09743e-10 | ‖∇‖ = 1.93458e-06
iter 478 | Ω_tilde = 4.263506665e-02 | ΔΩ = -3.02371e-10 | ‖∇‖ = 1.92618e-06
iter 479 | Ω_tilde = 4.263506636e-02 | ΔΩ = -2.95275e-10 | ‖∇‖ = 1.91781e-06
iter 480 | Ω_tilde = 4.263506607e-02 | ΔΩ = -2.88249e-10 | ‖∇‖ = 1.90949e-06
iter 481 | Ω_tilde = 4.263506579e-02 | ΔΩ = -2.81452e-10 | ‖∇‖ = 1.90119e-06
iter 482 | Ω_tilde = 4.263506551e-02 | ΔΩ = -2.74771e-10 | ‖∇‖ = 1.89294e-06
iter 483 | Ω_tilde = 4.263506525e-02 | ΔΩ = -2.68252e-10 | ‖∇‖ = 1.88472e-06
iter 484 | Ω_tilde = 4.263506498e-02 | ΔΩ = -2.61986e-10 | ‖∇‖ = 1.87654e-06
iter 485 | Ω_tilde = 4.263506473e-02 | ΔΩ = -2.55742e-10 | ‖∇‖ = 1.86839e-06
iter 486 | Ω_tilde = 4.263506448e-02 | ΔΩ = -2.49729e-10 | ‖∇‖ = 1.86028e-06
iter 487 | Ω_tilde = 4.263506423e-02 | ΔΩ = -2.43763e-10 | ‖∇‖ = 1.85221e-06
iter 488 | Ω_tilde = 4.263506400e-02 | ΔΩ = -2.38049e-10 | ‖∇‖ = 1.84417e-06
iter 489 | Ω_tilde = 4.263506376e-02 | ΔΩ = -2.32405e-10 | ‖∇‖ = 1.83616e-06
iter 490 | Ω_tilde = 4.263506354e-02 | ΔΩ = -2.26922e-10 | ‖∇‖ = 1.82819e-06
iter 491 | Ω_tilde = 4.263506331e-02 | ΔΩ = -2.21531e-10 | ‖∇‖ = 1.82026e-06
iter 492 | Ω_tilde = 4.263506310e-02 | ΔΩ = -2.16279e-10 | ‖∇‖ = 1.81236e-06
iter 493 | Ω_tilde = 4.263506289e-02 | ΔΩ = -2.11233e-10 | ‖∇‖ = 1.80449e-06
iter 494 | Ω_tilde = 4.263506268e-02 | ΔΩ = -2.06188e-10 | ‖∇‖ = 1.79666e-06
iter 495 | Ω_tilde = 4.263506248e-02 | ΔΩ = -2.01304e-10 | ‖∇‖ = 1.78886e-06
iter 496 | Ω_tilde = 4.263506228e-02 | ΔΩ = -1.96581e-10 | ‖∇‖ = 1.78110e-06
iter 497 | Ω_tilde = 4.263506209e-02 | ΔΩ = -1.91928e-10 | ‖∇‖ = 1.77337e-06
iter 498 | Ω_tilde = 4.263506190e-02 | ΔΩ = -1.87389e-10 | ‖∇‖ = 1.76568e-06
iter 499 | Ω_tilde = 4.263506172e-02 | ΔΩ = -1.82920e-10 | ‖∇‖ = 1.75801e-06
iter 500 | Ω_tilde = 4.263506154e-02 | ΔΩ = -1.78635e-10 | ‖∇‖ = 1.75039e-06
iter 501 | Ω_tilde = 4.263506137e-02 | ΔΩ = -1.74396e-10 | ‖∇‖ = 1.74279e-06
iter 502 | Ω_tilde = 4.263506120e-02 | ΔΩ = -1.70272e-10 | ‖∇‖ = 1.73523e-06
iter 503 | Ω_tilde = 4.263506103e-02 | ΔΩ = -1.66264e-10 | ‖∇‖ = 1.72770e-06
iter 504 | Ω_tilde = 4.263506087e-02 | ΔΩ = -1.62324e-10 | ‖∇‖ = 1.72021e-06
iter 505 | Ω_tilde = 4.263506071e-02 | ΔΩ = -1.58454e-10 | ‖∇‖ = 1.71274e-06
iter 506 | Ω_tilde = 4.263506056e-02 | ΔΩ = -1.54791e-10 | ‖∇‖ = 1.70531e-06
iter 507 | Ω_tilde = 4.263506040e-02 | ΔΩ = -1.51059e-10 | ‖∇‖ = 1.69791e-06
iter 508 | Ω_tilde = 4.263506026e-02 | ΔΩ = -1.47534e-10 | ‖∇‖ = 1.69055e-06
iter 509 | Ω_tilde = 4.263506011e-02 | ΔΩ = -1.44009e-10 | ‖∇‖ = 1.68322e-06
iter 510 | Ω_tilde = 4.263505997e-02 | ΔΩ = -1.40600e-10 | ‖∇‖ = 1.67591e-06
iter 511 | Ω_tilde = 4.263505984e-02 | ΔΩ = -1.37305e-10 | ‖∇‖ = 1.66865e-06
iter 512 | Ω_tilde = 4.263505970e-02 | ΔΩ = -1.34011e-10 | ‖∇‖ = 1.66141e-06
iter 513 | Ω_tilde = 4.263505957e-02 | ΔΩ = -1.30901e-10 | ‖∇‖ = 1.65420e-06
iter 514 | Ω_tilde = 4.263505944e-02 | ΔΩ = -1.27814e-10 | ‖∇‖ = 1.64703e-06
iter 515 | Ω_tilde = 4.263505932e-02 | ΔΩ = -1.24773e-10 | ‖∇‖ = 1.63988e-06
iter 516 | Ω_tilde = 4.263505920e-02 | ΔΩ = -1.21847e-10 | ‖∇‖ = 1.63277e-06
iter 517 | Ω_tilde = 4.263505908e-02 | ΔΩ = -1.18944e-10 | ‖∇‖ = 1.62569e-06
iter 518 | Ω_tilde = 4.263505896e-02 | ΔΩ = -1.16110e-10 | ‖∇‖ = 1.61864e-06
iter 519 | Ω_tilde = 4.263505885e-02 | ΔΩ = -1.13392e-10 | ‖∇‖ = 1.61162e-06
iter 520 | Ω_tilde = 4.263505874e-02 | ΔΩ = -1.10696e-10 | ‖∇‖ = 1.60463e-06
iter 521 | Ω_tilde = 4.263505863e-02 | ΔΩ = -1.08093e-10 | ‖∇‖ = 1.59768e-06
iter 522 | Ω_tilde = 4.263505852e-02 | ΔΩ = -1.05536e-10 | ‖∇‖ = 1.59075e-06
iter 523 | Ω_tilde = 4.263505842e-02 | ΔΩ = -1.03048e-10 | ‖∇‖ = 1.58385e-06
iter 524 | Ω_tilde = 4.263505832e-02 | ΔΩ = -1.00652e-10 | ‖∇‖ = 1.57699e-06
iter 525 | Ω_tilde = 4.263505822e-02 | ΔΩ = -9.82100e-11 | ‖∇‖ = 1.57015e-06
iter 526 | Ω_tilde = 4.263505813e-02 | ΔΩ = -9.59062e-11 | ‖∇‖ = 1.56334e-06
iter 527 | Ω_tilde = 4.263505803e-02 | ΔΩ = -9.36716e-11 | ‖∇‖ = 1.55656e-06
iter 528 | Ω_tilde = 4.263505794e-02 | ΔΩ = -9.14139e-11 | ‖∇‖ = 1.54982e-06
iter 529 | Ω_tilde = 4.263505785e-02 | ΔΩ = -8.92714e-11 | ‖∇‖ = 1.54310e-06
iter 530 | Ω_tilde = 4.263505776e-02 | ΔΩ = -8.71519e-11 | ‖∇‖ = 1.53641e-06
iter 531 | Ω_tilde = 4.263505768e-02 | ΔΩ = -8.51015e-11 | ‖∇‖ = 1.52975e-06
iter 532 | Ω_tilde = 4.263505760e-02 | ΔΩ = -8.30972e-11 | ‖∇‖ = 1.52312e-06
iter 533 | Ω_tilde = 4.263505751e-02 | ΔΩ = -8.11621e-11 | ‖∇‖ = 1.51652e-06
iter 534 | Ω_tilde = 4.263505744e-02 | ΔΩ = -7.92269e-11 | ‖∇‖ = 1.50994e-06
iter 535 | Ω_tilde = 4.263505736e-02 | ΔΩ = -7.73378e-11 | ‖∇‖ = 1.50340e-06
iter 536 | Ω_tilde = 4.263505728e-02 | ΔΩ = -7.54948e-11 | ‖∇‖ = 1.49688e-06
iter 537 | Ω_tilde = 4.263505721e-02 | ΔΩ = -7.37669e-11 | ‖∇‖ = 1.49040e-06
iter 538 | Ω_tilde = 4.263505714e-02 | ΔΩ = -7.19700e-11 | ‖∇‖ = 1.48394e-06
iter 539 | Ω_tilde = 4.263505707e-02 | ΔΩ = -7.02882e-11 | ‖∇‖ = 1.47751e-06
iter 540 | Ω_tilde = 4.263505700e-02 | ΔΩ = -6.86526e-11 | ‖∇‖ = 1.47110e-06
iter 541 | Ω_tilde = 4.263505693e-02 | ΔΩ = -6.69938e-11 | ‖∇‖ = 1.46473e-06
iter 542 | Ω_tilde = 4.263505687e-02 | ΔΩ = -6.54042e-11 | ‖∇‖ = 1.45838e-06
iter 543 | Ω_tilde = 4.263505680e-02 | ΔΩ = -6.38837e-11 | ‖∇‖ = 1.45206e-06
iter 544 | Ω_tilde = 4.263505674e-02 | ΔΩ = -6.23632e-11 | ‖∇‖ = 1.44577e-06
iter 545 | Ω_tilde = 4.263505668e-02 | ΔΩ = -6.08888e-11 | ‖∇‖ = 1.43951e-06
iter 546 | Ω_tilde = 4.263505662e-02 | ΔΩ = -5.94605e-11 | ‖∇‖ = 1.43327e-06
iter 547 | Ω_tilde = 4.263505656e-02 | ΔΩ = -5.80782e-11 | ‖∇‖ = 1.42706e-06
iter 548 | Ω_tilde = 4.263505650e-02 | ΔΩ = -5.66959e-11 | ‖∇‖ = 1.42088e-06
iter 549 | Ω_tilde = 4.263505645e-02 | ΔΩ = -5.53137e-11 | ‖∇‖ = 1.41472e-06
iter 550 | Ω_tilde = 4.263505639e-02 | ΔΩ = -5.40696e-11 | ‖∇‖ = 1.40859e-06
iter 551 | Ω_tilde = 4.263505634e-02 | ΔΩ = -5.27335e-11 | ‖∇‖ = 1.40249e-06
iter 552 | Ω_tilde = 4.263505629e-02 | ΔΩ = -5.15585e-11 | ‖∇‖ = 1.39642e-06
iter 553 | Ω_tilde = 4.263505624e-02 | ΔΩ = -5.02915e-11 | ‖∇‖ = 1.39037e-06
iter 554 | Ω_tilde = 4.263505619e-02 | ΔΩ = -4.91165e-11 | ‖∇‖ = 1.38435e-06
iter 555 | Ω_tilde = 4.263505614e-02 | ΔΩ = -4.79416e-11 | ‖∇‖ = 1.37835e-06
iter 556 | Ω_tilde = 4.263505610e-02 | ΔΩ = -4.68127e-11 | ‖∇‖ = 1.37238e-06
iter 557 | Ω_tilde = 4.263505605e-02 | ΔΩ = -4.57069e-11 | ‖∇‖ = 1.36644e-06
iter 558 | Ω_tilde = 4.263505601e-02 | ΔΩ = -4.46472e-11 | ‖∇‖ = 1.36052e-06
iter 559 | Ω_tilde = 4.263505596e-02 | ΔΩ = -4.35875e-11 | ‖∇‖ = 1.35463e-06
iter 560 | Ω_tilde = 4.263505592e-02 | ΔΩ = -4.25508e-11 | ‖∇‖ = 1.34876e-06
iter 561 | Ω_tilde = 4.263505588e-02 | ΔΩ = -4.15371e-11 | ‖∇‖ = 1.34292e-06
iter 562 | Ω_tilde = 4.263505584e-02 | ΔΩ = -4.05926e-11 | ‖∇‖ = 1.33711e-06
iter 563 | Ω_tilde = 4.263505580e-02 | ΔΩ = -3.96019e-11 | ‖∇‖ = 1.33132e-06
iter 564 | Ω_tilde = 4.263505576e-02 | ΔΩ = -3.86574e-11 | ‖∇‖ = 1.32555e-06
iter 565 | Ω_tilde = 4.263505572e-02 | ΔΩ = -3.77819e-11 | ‖∇‖ = 1.31981e-06
iter 566 | Ω_tilde = 4.263505568e-02 | ΔΩ = -3.68604e-11 | ‖∇‖ = 1.31410e-06
iter 567 | Ω_tilde = 4.263505565e-02 | ΔΩ = -3.59850e-11 | ‖∇‖ = 1.30841e-06
iter 568 | Ω_tilde = 4.263505561e-02 | ΔΩ = -3.51556e-11 | ‖∇‖ = 1.30274e-06
iter 569 | Ω_tilde = 4.263505558e-02 | ΔΩ = -3.43493e-11 | ‖∇‖ = 1.29710e-06
iter 570 | Ω_tilde = 4.263505555e-02 | ΔΩ = -3.34739e-11 | ‖∇‖ = 1.29149e-06
iter 571 | Ω_tilde = 4.263505551e-02 | ΔΩ = -3.27367e-11 | ‖∇‖ = 1.28590e-06
iter 572 | Ω_tilde = 4.263505548e-02 | ΔΩ = -3.19534e-11 | ‖∇‖ = 1.28033e-06
iter 573 | Ω_tilde = 4.263505545e-02 | ΔΩ = -3.11931e-11 | ‖∇‖ = 1.27479e-06
iter 574 | Ω_tilde = 4.263505542e-02 | ΔΩ = -3.04329e-11 | ‖∇‖ = 1.26927e-06
iter 575 | Ω_tilde = 4.263505539e-02 | ΔΩ = -2.97418e-11 | ‖∇‖ = 1.26378e-06
iter 576 | Ω_tilde = 4.263505536e-02 | ΔΩ = -2.90276e-11 | ‖∇‖ = 1.25831e-06
iter 577 | Ω_tilde = 4.263505533e-02 | ΔΩ = -2.83595e-11 | ‖∇‖ = 1.25286e-06
iter 578 | Ω_tilde = 4.263505530e-02 | ΔΩ = -2.76684e-11 | ‖∇‖ = 1.24744e-06
iter 579 | Ω_tilde = 4.263505528e-02 | ΔΩ = -2.70463e-11 | ‖∇‖ = 1.24204e-06
iter 580 | Ω_tilde = 4.263505525e-02 | ΔΩ = -2.64013e-11 | ‖∇‖ = 1.23666e-06
iter 581 | Ω_tilde = 4.263505523e-02 | ΔΩ = -2.57562e-11 | ‖∇‖ = 1.23131e-06
iter 582 | Ω_tilde = 4.263505520e-02 | ΔΩ = -2.51572e-11 | ‖∇‖ = 1.22598e-06
iter 583 | Ω_tilde = 4.263505518e-02 | ΔΩ = -2.45583e-11 | ‖∇‖ = 1.22068e-06
iter 584 | Ω_tilde = 4.263505515e-02 | ΔΩ = -2.39823e-11 | ‖∇‖ = 1.21540e-06
iter 585 | Ω_tilde = 4.263505513e-02 | ΔΩ = -2.34064e-11 | ‖∇‖ = 1.21014e-06
iter 586 | Ω_tilde = 4.263505511e-02 | ΔΩ = -2.28765e-11 | ‖∇‖ = 1.20490e-06
iter 587 | Ω_tilde = 4.263505508e-02 | ΔΩ = -2.23236e-11 | ‖∇‖ = 1.19969e-06
iter 588 | Ω_tilde = 4.263505506e-02 | ΔΩ = -2.17707e-11 | ‖∇‖ = 1.19450e-06
iter 589 | Ω_tilde = 4.263505504e-02 | ΔΩ = -2.12869e-11 | ‖∇‖ = 1.18933e-06
iter 590 | Ω_tilde = 4.263505502e-02 | ΔΩ = -2.07801e-11 | ‖∇‖ = 1.18418e-06
iter 591 | Ω_tilde = 4.263505500e-02 | ΔΩ = -2.02732e-11 | ‖∇‖ = 1.17906e-06
iter 592 | Ω_tilde = 4.263505498e-02 | ΔΩ = -1.98586e-11 | ‖∇‖ = 1.17396e-06
iter 593 | Ω_tilde = 4.263505496e-02 | ΔΩ = -1.93287e-11 | ‖∇‖ = 1.16888e-06
iter 594 | Ω_tilde = 4.263505494e-02 | ΔΩ = -1.88679e-11 | ‖∇‖ = 1.16383e-06
iter 595 | Ω_tilde = 4.263505492e-02 | ΔΩ = -1.84763e-11 | ‖∇‖ = 1.15879e-06
iter 596 | Ω_tilde = 4.263505490e-02 | ΔΩ = -1.80155e-11 | ‖∇‖ = 1.15378e-06
iter 597 | Ω_tilde = 4.263505489e-02 | ΔΩ = -1.75548e-11 | ‖∇‖ = 1.14879e-06
iter 598 | Ω_tilde = 4.263505487e-02 | ΔΩ = -1.71862e-11 | ‖∇‖ = 1.14382e-06
iter 599 | Ω_tilde = 4.263505485e-02 | ΔΩ = -1.67945e-11 | ‖∇‖ = 1.13887e-06
iter 600 | Ω_tilde = 4.263505484e-02 | ΔΩ = -1.63338e-11 | ‖∇‖ = 1.13395e-06
iter 601 | Ω_tilde = 4.263505482e-02 | ΔΩ = -1.59882e-11 | ‖∇‖ = 1.12904e-06
iter 602 | Ω_tilde = 4.263505481e-02 | ΔΩ = -1.55966e-11 | ‖∇‖ = 1.12416e-06
iter 603 | Ω_tilde = 4.263505479e-02 | ΔΩ = -1.52280e-11 | ‖∇‖ = 1.11930e-06
iter 604 | Ω_tilde = 4.263505478e-02 | ΔΩ = -1.48824e-11 | ‖∇‖ = 1.11446e-06
iter 605 | Ω_tilde = 4.263505476e-02 | ΔΩ = -1.45138e-11 | ‖∇‖ = 1.10964e-06
iter 606 | Ω_tilde = 4.263505475e-02 | ΔΩ = -1.41913e-11 | ‖∇‖ = 1.10484e-06
iter 607 | Ω_tilde = 4.263505473e-02 | ΔΩ = -1.38687e-11 | ‖∇‖ = 1.10006e-06
iter 608 | Ω_tilde = 4.263505472e-02 | ΔΩ = -1.35001e-11 | ‖∇‖ = 1.09531e-06
iter 609 | Ω_tilde = 4.263505471e-02 | ΔΩ = -1.32006e-11 | ‖∇‖ = 1.09057e-06
iter 610 | Ω_tilde = 4.263505469e-02 | ΔΩ = -1.29012e-11 | ‖∇‖ = 1.08586e-06
iter 611 | Ω_tilde = 4.263505468e-02 | ΔΩ = -1.25786e-11 | ‖∇‖ = 1.08116e-06
iter 612 | Ω_tilde = 4.263505467e-02 | ΔΩ = -1.22561e-11 | ‖∇‖ = 1.07649e-06
iter 613 | Ω_tilde = 4.263505466e-02 | ΔΩ = -1.20027e-11 | ‖∇‖ = 1.07183e-06
iter 614 | Ω_tilde = 4.263505464e-02 | ΔΩ = -1.17493e-11 | ‖∇‖ = 1.06720e-06
iter 615 | Ω_tilde = 4.263505463e-02 | ΔΩ = -1.14037e-11 | ‖∇‖ = 1.06259e-06
iter 616 | Ω_tilde = 4.263505462e-02 | ΔΩ = -1.11964e-11 | ‖∇‖ = 1.05799e-06
iter 617 | Ω_tilde = 4.263505461e-02 | ΔΩ = -1.09199e-11 | ‖∇‖ = 1.05342e-06
iter 618 | Ω_tilde = 4.263505460e-02 | ΔΩ = -1.06204e-11 | ‖∇‖ = 1.04887e-06
iter 619 | Ω_tilde = 4.263505459e-02 | ΔΩ = -1.03900e-11 | ‖∇‖ = 1.04433e-06
iter 620 | Ω_tilde = 4.263505458e-02 | ΔΩ = -1.01597e-11 | ‖∇‖ = 1.03982e-06
iter 621 | Ω_tilde = 4.263505457e-02 | ΔΩ = -9.92928e-12 | ‖∇‖ = 1.03533e-06
iter 622 | Ω_tilde = 4.263505456e-02 | ΔΩ = -9.65283e-12 | ‖∇‖ = 1.03085e-06
iter 623 | Ω_tilde = 4.263505455e-02 | ΔΩ = -9.46852e-12 | ‖∇‖ = 1.02640e-06
iter 624 | Ω_tilde = 4.263505454e-02 | ΔΩ = -9.21511e-12 | ‖∇‖ = 1.02196e-06
iter 625 | Ω_tilde = 4.263505453e-02 | ΔΩ = -9.00777e-12 | ‖∇‖ = 1.01755e-06
iter 626 | Ω_tilde = 4.263505452e-02 | ΔΩ = -8.80043e-12 | ‖∇‖ = 1.01315e-06
iter 627 | Ω_tilde = 4.263505451e-02 | ΔΩ = -8.61613e-12 | ‖∇‖ = 1.00877e-06
iter 628 | Ω_tilde = 4.263505451e-02 | ΔΩ = -8.36271e-12 | ‖∇‖ = 1.00441e-06
iter 629 | Ω_tilde = 4.263505450e-02 | ΔΩ = -8.20145e-12 | ‖∇‖ = 1.00007e-06
iter 630 | Ω_tilde = 4.263505449e-02 | ΔΩ = -7.99411e-12 | ‖∇‖ = 9.95751e-07
iter 631 | Ω_tilde = 4.263505448e-02 | ΔΩ = -7.80981e-12 | ‖∇‖ = 9.91449e-07
iter 632 | Ω_tilde = 4.263505447e-02 | ΔΩ = -7.60246e-12 | ‖∇‖ = 9.87166e-07
iter 633 | Ω_tilde = 4.263505447e-02 | ΔΩ = -7.48727e-12 | ‖∇‖ = 9.82901e-07
iter 634 | Ω_tilde = 4.263505446e-02 | ΔΩ = -7.23386e-12 | ‖∇‖ = 9.78655e-07
iter 635 | Ω_tilde = 4.263505445e-02 | ΔΩ = -7.09564e-12 | ‖∇‖ = 9.74427e-07
iter 636 | Ω_tilde = 4.263505445e-02 | ΔΩ = -6.91133e-12 | ‖∇‖ = 9.70218e-07
iter 637 | Ω_tilde = 4.263505444e-02 | ΔΩ = -6.79614e-12 | ‖∇‖ = 9.66027e-07
iter 638 | Ω_tilde = 4.263505443e-02 | ΔΩ = -6.58880e-12 | ‖∇‖ = 9.61854e-07
iter 639 | Ω_tilde = 4.263505443e-02 | ΔΩ = -6.47361e-12 | ‖∇‖ = 9.57699e-07
iter 640 | Ω_tilde = 4.263505442e-02 | ΔΩ = -6.28932e-12 | ‖∇‖ = 9.53563e-07
iter 641 | Ω_tilde = 4.263505441e-02 | ΔΩ = -6.12804e-12 | ‖∇‖ = 9.49444e-07
iter 642 | Ω_tilde = 4.263505441e-02 | ΔΩ = -6.03590e-12 | ‖∇‖ = 9.45344e-07
iter 643 | Ω_tilde = 4.263505440e-02 | ΔΩ = -5.85159e-12 | ‖∇‖ = 9.41261e-07
iter 644 | Ω_tilde = 4.263505440e-02 | ΔΩ = -5.73640e-12 | ‖∇‖ = 9.37196e-07
iter 645 | Ω_tilde = 4.263505439e-02 | ΔΩ = -5.55210e-12 | ‖∇‖ = 9.33149e-07
iter 646 | Ω_tilde = 4.263505439e-02 | ΔΩ = -5.48299e-12 | ‖∇‖ = 9.29119e-07
iter 647 | Ω_tilde = 4.263505438e-02 | ΔΩ = -5.34477e-12 | ‖∇‖ = 9.25107e-07
iter 648 | Ω_tilde = 4.263505437e-02 | ΔΩ = -5.20654e-12 | ‖∇‖ = 9.21112e-07
iter 649 | Ω_tilde = 4.263505437e-02 | ΔΩ = -5.06831e-12 | ‖∇‖ = 9.17135e-07
iter 650 | Ω_tilde = 4.263505436e-02 | ΔΩ = -4.93008e-12 | ‖∇‖ = 9.13175e-07
iter 651 | Ω_tilde = 4.263505436e-02 | ΔΩ = -4.88401e-12 | ‖∇‖ = 9.09232e-07
iter 652 | Ω_tilde = 4.263505436e-02 | ΔΩ = -4.72274e-12 | ‖∇‖ = 9.05307e-07
iter 653 | Ω_tilde = 4.263505435e-02 | ΔΩ = -4.63059e-12 | ‖∇‖ = 9.01398e-07
iter 654 | Ω_tilde = 4.263505435e-02 | ΔΩ = -4.49236e-12 | ‖∇‖ = 8.97506e-07
iter 655 | Ω_tilde = 4.263505434e-02 | ΔΩ = -4.40022e-12 | ‖∇‖ = 8.93632e-07
iter 656 | Ω_tilde = 4.263505434e-02 | ΔΩ = -4.30806e-12 | ‖∇‖ = 8.89774e-07
iter 657 | Ω_tilde = 4.263505433e-02 | ΔΩ = -4.16984e-12 | ‖∇‖ = 8.85933e-07
iter 658 | Ω_tilde = 4.263505433e-02 | ΔΩ = -4.12376e-12 | ‖∇‖ = 8.82109e-07
iter 659 | Ω_tilde = 4.263505432e-02 | ΔΩ = -4.00857e-12 | ‖∇‖ = 8.78301e-07
iter 660 | Ω_tilde = 4.263505432e-02 | ΔΩ = -3.89338e-12 | ‖∇‖ = 8.74510e-07
iter 661 | Ω_tilde = 4.263505432e-02 | ΔΩ = -3.82427e-12 | ‖∇‖ = 8.70736e-07
iter 662 | Ω_tilde = 4.263505431e-02 | ΔΩ = -3.73212e-12 | ‖∇‖ = 8.66977e-07
iter 663 | Ω_tilde = 4.263505431e-02 | ΔΩ = -3.63996e-12 | ‖∇‖ = 8.63236e-07
iter 664 | Ω_tilde = 4.263505431e-02 | ΔΩ = -3.52478e-12 | ‖∇‖ = 8.59510e-07
iter 665 | Ω_tilde = 4.263505430e-02 | ΔΩ = -3.50175e-12 | ‖∇‖ = 8.55801e-07
iter 666 | Ω_tilde = 4.263505430e-02 | ΔΩ = -3.38655e-12 | ‖∇‖ = 8.52107e-07
iter 667 | Ω_tilde = 4.263505430e-02 | ΔΩ = -3.29440e-12 | ‖∇‖ = 8.48430e-07
iter 668 | Ω_tilde = 4.263505429e-02 | ΔΩ = -3.22529e-12 | ‖∇‖ = 8.44769e-07
iter 669 | Ω_tilde = 4.263505429e-02 | ΔΩ = -3.13314e-12 | ‖∇‖ = 8.41124e-07
iter 670 | Ω_tilde = 4.263505429e-02 | ΔΩ = -3.08706e-12 | ‖∇‖ = 8.37494e-07
iter 671 | Ω_tilde = 4.263505428e-02 | ΔΩ = -3.01795e-12 | ‖∇‖ = 8.33881e-07
iter 672 | Ω_tilde = 4.263505428e-02 | ΔΩ = -2.92580e-12 | ‖∇‖ = 8.30283e-07
iter 673 | Ω_tilde = 4.263505428e-02 | ΔΩ = -2.85669e-12 | ‖∇‖ = 8.26701e-07
iter 674 | Ω_tilde = 4.263505428e-02 | ΔΩ = -2.83364e-12 | ‖∇‖ = 8.23134e-07
iter 675 | Ω_tilde = 4.263505427e-02 | ΔΩ = -2.67238e-12 | ‖∇‖ = 8.19583e-07
iter 676 | Ω_tilde = 4.263505427e-02 | ΔΩ = -2.69542e-12 | ‖∇‖ = 8.16047e-07
iter 677 | Ω_tilde = 4.263505427e-02 | ΔΩ = -2.60326e-12 | ‖∇‖ = 8.12527e-07
iter 678 | Ω_tilde = 4.263505426e-02 | ΔΩ = -2.55719e-12 | ‖∇‖ = 8.09022e-07
iter 679 | Ω_tilde = 4.263505426e-02 | ΔΩ = -2.48808e-12 | ‖∇‖ = 8.05532e-07
iter 680 | Ω_tilde = 4.263505426e-02 | ΔΩ = -2.39593e-12 | ‖∇‖ = 8.02057e-07
iter 681 | Ω_tilde = 4.263505426e-02 | ΔΩ = -2.37289e-12 | ‖∇‖ = 7.98598e-07
iter 682 | Ω_tilde = 4.263505425e-02 | ΔΩ = -2.34986e-12 | ‖∇‖ = 7.95153e-07
iter 683 | Ω_tilde = 4.263505425e-02 | ΔΩ = -2.23466e-12 | ‖∇‖ = 7.91724e-07
iter 684 | Ω_tilde = 4.263505425e-02 | ΔΩ = -2.21163e-12 | ‖∇‖ = 7.88309e-07
iter 685 | Ω_tilde = 4.263505425e-02 | ΔΩ = -2.14251e-12 | ‖∇‖ = 7.84909e-07
iter 686 | Ω_tilde = 4.263505425e-02 | ΔΩ = -2.09644e-12 | ‖∇‖ = 7.81524e-07
iter 687 | Ω_tilde = 4.263505424e-02 | ΔΩ = -2.07340e-12 | ‖∇‖ = 7.78154e-07
iter 688 | Ω_tilde = 4.263505424e-02 | ΔΩ = -1.98125e-12 | ‖∇‖ = 7.74798e-07
iter 689 | Ω_tilde = 4.263505424e-02 | ΔΩ = -1.98125e-12 | ‖∇‖ = 7.71457e-07
iter 690 | Ω_tilde = 4.263505424e-02 | ΔΩ = -1.91214e-12 | ‖∇‖ = 7.68130e-07
iter 691 | Ω_tilde = 4.263505424e-02 | ΔΩ = -1.84302e-12 | ‖∇‖ = 7.64818e-07
iter 692 | Ω_tilde = 4.263505423e-02 | ΔΩ = -1.84303e-12 | ‖∇‖ = 7.61520e-07
iter 693 | Ω_tilde = 4.263505423e-02 | ΔΩ = -1.77391e-12 | ‖∇‖ = 7.58237e-07
iter 694 | Ω_tilde = 4.263505423e-02 | ΔΩ = -1.70480e-12 | ‖∇‖ = 7.54968e-07
iter 695 | Ω_tilde = 4.263505423e-02 | ΔΩ = -1.70479e-12 | ‖∇‖ = 7.51713e-07
iter 696 | Ω_tilde = 4.263505423e-02 | ΔΩ = -1.68176e-12 | ‖∇‖ = 7.48472e-07
iter 697 | Ω_tilde = 4.263505423e-02 | ΔΩ = -1.61265e-12 | ‖∇‖ = 7.45245e-07
iter 698 | Ω_tilde = 4.263505422e-02 | ΔΩ = -1.58960e-12 | ‖∇‖ = 7.42033e-07
iter 699 | Ω_tilde = 4.263505422e-02 | ΔΩ = -1.52049e-12 | ‖∇‖ = 7.38834e-07
iter 700 | Ω_tilde = 4.263505422e-02 | ΔΩ = -1.52049e-12 | ‖∇‖ = 7.35649e-07
iter 701 | Ω_tilde = 4.263505422e-02 | ΔΩ = -1.45138e-12 | ‖∇‖ = 7.32478e-07
iter 702 | Ω_tilde = 4.263505422e-02 | ΔΩ = -1.45138e-12 | ‖∇‖ = 7.29321e-07
iter 703 | Ω_tilde = 4.263505422e-02 | ΔΩ = -1.38226e-12 | ‖∇‖ = 7.26177e-07
iter 704 | Ω_tilde = 4.263505422e-02 | ΔΩ = -1.38227e-12 | ‖∇‖ = 7.23048e-07
iter 705 | Ω_tilde = 4.263505421e-02 | ΔΩ = -1.33619e-12 | ‖∇‖ = 7.19931e-07
iter 706 | Ω_tilde = 4.263505421e-02 | ΔΩ = -1.29012e-12 | ‖∇‖ = 7.16829e-07
iter 707 | Ω_tilde = 4.263505421e-02 | ΔΩ = -1.26708e-12 | ‖∇‖ = 7.13739e-07
iter 708 | Ω_tilde = 4.263505421e-02 | ΔΩ = -1.24404e-12 | ‖∇‖ = 7.10663e-07
iter 709 | Ω_tilde = 4.263505421e-02 | ΔΩ = -1.22100e-12 | ‖∇‖ = 7.07601e-07
iter 710 | Ω_tilde = 4.263505421e-02 | ΔΩ = -1.17492e-12 | ‖∇‖ = 7.04552e-07
iter 711 | Ω_tilde = 4.263505421e-02 | ΔΩ = -1.17493e-12 | ‖∇‖ = 7.01516e-07
iter 712 | Ω_tilde = 4.263505421e-02 | ΔΩ = -1.15189e-12 | ‖∇‖ = 6.98493e-07
iter 713 | Ω_tilde = 4.263505420e-02 | ΔΩ = -1.08277e-12 | ‖∇‖ = 6.95483e-07
iter 714 | Ω_tilde = 4.263505420e-02 | ΔΩ = -1.05974e-12 | ‖∇‖ = 6.92487e-07
iter 715 | Ω_tilde = 4.263505420e-02 | ΔΩ = -1.05974e-12 | ‖∇‖ = 6.89503e-07
iter 716 | Ω_tilde = 4.263505420e-02 | ΔΩ = -1.05974e-12 | ‖∇‖ = 6.86533e-07
iter 717 | Ω_tilde = 4.263505420e-02 | ΔΩ = -9.90624e-13 | ‖∇‖ = 6.83575e-07
iter 718 | Ω_tilde = 4.263505420e-02 | ΔΩ = -9.67587e-13 | ‖∇‖ = 6.80630e-07
iter 719 | Ω_tilde = 4.263505420e-02 | ΔΩ = -9.67580e-13 | ‖∇‖ = 6.77698e-07
iter 720 | Ω_tilde = 4.263505420e-02 | ΔΩ = -9.21513e-13 | ‖∇‖ = 6.74779e-07
iter 721 | Ω_tilde = 4.263505420e-02 | ΔΩ = -9.21513e-13 | ‖∇‖ = 6.71872e-07
iter 722 | Ω_tilde = 4.263505420e-02 | ΔΩ = -8.98469e-13 | ‖∇‖ = 6.68978e-07
iter 723 | Ω_tilde = 4.263505420e-02 | ΔΩ = -8.52401e-13 | ‖∇‖ = 6.66096e-07
iter 724 | Ω_tilde = 4.263505419e-02 | ΔΩ = -8.52395e-13 | ‖∇‖ = 6.63227e-07
iter 725 | Ω_tilde = 4.263505419e-02 | ΔΩ = -8.06327e-13 | ‖∇‖ = 6.60371e-07
iter 726 | Ω_tilde = 4.263505419e-02 | ΔΩ = -8.29357e-13 | ‖∇‖ = 6.57527e-07
iter 727 | Ω_tilde = 4.263505419e-02 | ΔΩ = -8.06320e-13 | ‖∇‖ = 6.54695e-07
iter 728 | Ω_tilde = 4.263505419e-02 | ΔΩ = -7.37209e-13 | ‖∇‖ = 6.51875e-07
iter 729 | Ω_tilde = 4.263505419e-02 | ΔΩ = -7.60246e-13 | ‖∇‖ = 6.49068e-07
iter 730 | Ω_tilde = 4.263505419e-02 | ΔΩ = -7.37209e-13 | ‖∇‖ = 6.46273e-07
iter 731 | Ω_tilde = 4.263505419e-02 | ΔΩ = -7.14172e-13 | ‖∇‖ = 6.43490e-07
iter 732 | Ω_tilde = 4.263505419e-02 | ΔΩ = -7.14172e-13 | ‖∇‖ = 6.40719e-07
iter 733 | Ω_tilde = 4.263505419e-02 | ΔΩ = -7.14172e-13 | ‖∇‖ = 6.37960e-07
iter 734 | Ω_tilde = 4.263505419e-02 | ΔΩ = -6.45053e-13 | ‖∇‖ = 6.35214e-07
iter 735 | Ω_tilde = 4.263505419e-02 | ΔΩ = -6.68098e-13 | ‖∇‖ = 6.32479e-07
iter 736 | Ω_tilde = 4.263505419e-02 | ΔΩ = -6.22016e-13 | ‖∇‖ = 6.29756e-07
iter 737 | Ω_tilde = 4.263505418e-02 | ΔΩ = -6.45060e-13 | ‖∇‖ = 6.27044e-07
iter 738 | Ω_tilde = 4.263505418e-02 | ΔΩ = -5.75942e-13 | ‖∇‖ = 6.24345e-07
iter 739 | Ω_tilde = 4.263505418e-02 | ΔΩ = -5.75949e-13 | ‖∇‖ = 6.21657e-07
iter 740 | Ω_tilde = 4.263505418e-02 | ΔΩ = -5.75942e-13 | ‖∇‖ = 6.18981e-07
iter 741 | Ω_tilde = 4.263505418e-02 | ΔΩ = -6.22023e-13 | ‖∇‖ = 6.16316e-07
iter 742 | Ω_tilde = 4.263505418e-02 | ΔΩ = -5.52905e-13 | ‖∇‖ = 6.13663e-07
iter 743 | Ω_tilde = 4.263505418e-02 | ΔΩ = -4.83794e-13 | ‖∇‖ = 6.11022e-07
iter 744 | Ω_tilde = 4.263505418e-02 | ΔΩ = -5.75942e-13 | ‖∇‖ = 6.08392e-07
iter 745 | Ω_tilde = 4.263505418e-02 | ΔΩ = -4.83794e-13 | ‖∇‖ = 6.05773e-07
iter 746 | Ω_tilde = 4.263505418e-02 | ΔΩ = -5.06831e-13 | ‖∇‖ = 6.03166e-07
iter 747 | Ω_tilde = 4.263505418e-02 | ΔΩ = -5.29868e-13 | ‖∇‖ = 6.00570e-07
iter 748 | Ω_tilde = 4.263505418e-02 | ΔΩ = -4.37719e-13 | ‖∇‖ = 5.97986e-07
iter 749 | Ω_tilde = 4.263505418e-02 | ΔΩ = -4.60756e-13 | ‖∇‖ = 5.95412e-07
iter 750 | Ω_tilde = 4.263505418e-02 | ΔΩ = -4.60756e-13 | ‖∇‖ = 5.92850e-07
iter 751 | Ω_tilde = 4.263505418e-02 | ΔΩ = -4.60749e-13 | ‖∇‖ = 5.90299e-07
iter 752 | Ω_tilde = 4.263505418e-02 | ΔΩ = -4.14682e-13 | ‖∇‖ = 5.87758e-07
iter 753 | Ω_tilde = 4.263505418e-02 | ΔΩ = -4.14682e-13 | ‖∇‖ = 5.85229e-07
iter 754 | Ω_tilde = 4.263505418e-02 | ΔΩ = -4.37719e-13 | ‖∇‖ = 5.82711e-07
iter 755 | Ω_tilde = 4.263505418e-02 | ΔΩ = -4.14675e-13 | ‖∇‖ = 5.80204e-07
iter 756 | Ω_tilde = 4.263505418e-02 | ΔΩ = -3.68608e-13 | ‖∇‖ = 5.77708e-07
iter 757 | Ω_tilde = 4.263505418e-02 | ΔΩ = -3.91638e-13 | ‖∇‖ = 5.75222e-07
iter 758 | Ω_tilde = 4.263505417e-02 | ΔΩ = -4.14682e-13 | ‖∇‖ = 5.72748e-07
iter 759 | Ω_tilde = 4.263505417e-02 | ΔΩ = -3.68601e-13 | ‖∇‖ = 5.70283e-07
iter 760 | Ω_tilde = 4.263505417e-02 | ΔΩ = -3.45571e-13 | ‖∇‖ = 5.67830e-07
iter 761 | Ω_tilde = 4.263505417e-02 | ΔΩ = -3.68601e-13 | ‖∇‖ = 5.65387e-07
iter 762 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.99490e-13 | ‖∇‖ = 5.62955e-07
iter 763 | Ω_tilde = 4.263505417e-02 | ΔΩ = -3.45571e-13 | ‖∇‖ = 5.60534e-07
iter 764 | Ω_tilde = 4.263505417e-02 | ΔΩ = -3.45564e-13 | ‖∇‖ = 5.58123e-07
iter 765 | Ω_tilde = 4.263505417e-02 | ΔΩ = -3.22534e-13 | ‖∇‖ = 5.55722e-07
iter 766 | Ω_tilde = 4.263505417e-02 | ΔΩ = -3.22527e-13 | ‖∇‖ = 5.53332e-07
iter 767 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.76452e-13 | ‖∇‖ = 5.50952e-07
iter 768 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.99490e-13 | ‖∇‖ = 5.48583e-07
iter 769 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.99490e-13 | ‖∇‖ = 5.46223e-07
iter 770 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.76452e-13 | ‖∇‖ = 5.43874e-07
iter 771 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.76459e-13 | ‖∇‖ = 5.41536e-07
iter 772 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.53415e-13 | ‖∇‖ = 5.39207e-07
iter 773 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.53415e-13 | ‖∇‖ = 5.36888e-07
iter 774 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.99490e-13 | ‖∇‖ = 5.34580e-07
iter 775 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.30378e-13 | ‖∇‖ = 5.32281e-07
iter 776 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.53415e-13 | ‖∇‖ = 5.29993e-07
iter 777 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.30378e-13 | ‖∇‖ = 5.27714e-07
iter 778 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.53415e-13 | ‖∇‖ = 5.25445e-07
iter 779 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.30378e-13 | ‖∇‖ = 5.23186e-07
iter 780 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.30378e-13 | ‖∇‖ = 5.20937e-07
iter 781 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.84297e-13 | ‖∇‖ = 5.18698e-07
iter 782 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.30378e-13 | ‖∇‖ = 5.16468e-07
iter 783 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.84304e-13 | ‖∇‖ = 5.14248e-07
iter 784 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.07341e-13 | ‖∇‖ = 5.12037e-07
iter 785 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.53415e-13 | ‖∇‖ = 5.09837e-07
iter 786 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.38223e-13 | ‖∇‖ = 5.07645e-07
iter 787 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.30378e-13 | ‖∇‖ = 5.05463e-07
iter 788 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.61267e-13 | ‖∇‖ = 5.03291e-07
iter 789 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.61267e-13 | ‖∇‖ = 5.01128e-07
iter 790 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.07334e-13 | ‖∇‖ = 4.98974e-07
iter 791 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.61267e-13 | ‖∇‖ = 4.96830e-07
iter 792 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.38230e-13 | ‖∇‖ = 4.94695e-07
iter 793 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.84297e-13 | ‖∇‖ = 4.92569e-07
iter 794 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.38230e-13 | ‖∇‖ = 4.90453e-07
iter 795 | Ω_tilde = 4.263505417e-02 | ΔΩ = -2.07341e-13 | ‖∇‖ = 4.88345e-07
iter 796 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.15186e-13 | ‖∇‖ = 4.86247e-07
iter 797 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.61267e-13 | ‖∇‖ = 4.84158e-07
iter 798 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.38223e-13 | ‖∇‖ = 4.82078e-07
iter 799 | Ω_tilde = 4.263505417e-02 | ΔΩ = -1.38230e-13 | ‖∇‖ = 4.80007e-07
iter 800 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.61267e-13 | ‖∇‖ = 4.77945e-07
iter 801 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.15186e-13 | ‖∇‖ = 4.75891e-07
iter 802 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.61267e-13 | ‖∇‖ = 4.73847e-07
iter 803 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.15186e-13 | ‖∇‖ = 4.71812e-07
iter 804 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.38230e-13 | ‖∇‖ = 4.69785e-07
iter 805 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.15186e-13 | ‖∇‖ = 4.67767e-07
iter 806 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.15193e-13 | ‖∇‖ = 4.65758e-07
iter 807 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.15186e-13 | ‖∇‖ = 4.63758e-07
iter 808 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.38230e-13 | ‖∇‖ = 4.61766e-07
iter 809 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21485e-14 | ‖∇‖ = 4.59783e-07
iter 810 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21485e-14 | ‖∇‖ = 4.57808e-07
iter 811 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21554e-14 | ‖∇‖ = 4.55842e-07
iter 812 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.15186e-13 | ‖∇‖ = 4.53885e-07
iter 813 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91183e-14 | ‖∇‖ = 4.51936e-07
iter 814 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.61260e-13 | ‖∇‖ = 4.49995e-07
iter 815 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91114e-14 | ‖∇‖ = 4.48063e-07
iter 816 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.15193e-13 | ‖∇‖ = 4.46139e-07
iter 817 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21485e-14 | ‖∇‖ = 4.44223e-07
iter 818 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91183e-14 | ‖∇‖ = 4.42316e-07
iter 819 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21485e-14 | ‖∇‖ = 4.40417e-07
iter 820 | Ω_tilde = 4.263505416e-02 | ΔΩ = -1.15186e-13 | ‖∇‖ = 4.38526e-07
iter 821 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91183e-14 | ‖∇‖ = 4.36644e-07
iter 822 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21485e-14 | ‖∇‖ = 4.34769e-07
iter 823 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91114e-14 | ‖∇‖ = 4.32903e-07
iter 824 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91183e-14 | ‖∇‖ = 4.31045e-07
iter 825 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91114e-14 | ‖∇‖ = 4.29195e-07
iter 826 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21485e-14 | ‖∇‖ = 4.27353e-07
iter 827 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91183e-14 | ‖∇‖ = 4.25518e-07
iter 828 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91114e-14 | ‖∇‖ = 4.23692e-07
iter 829 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 4.21874e-07
iter 830 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21485e-14 | ‖∇‖ = 4.20063e-07
iter 831 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21554e-14 | ‖∇‖ = 4.18260e-07
iter 832 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 4.16466e-07
iter 833 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21485e-14 | ‖∇‖ = 4.14679e-07
iter 834 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91114e-14 | ‖∇‖ = 4.12899e-07
iter 835 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60812e-14 | ‖∇‖ = 4.11127e-07
iter 836 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 4.09363e-07
iter 837 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91114e-14 | ‖∇‖ = 4.07607e-07
iter 838 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 4.05858e-07
iter 839 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 4.04117e-07
iter 840 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91183e-14 | ‖∇‖ = 4.02383e-07
iter 841 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91114e-14 | ‖∇‖ = 4.00657e-07
iter 842 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.98938e-07
iter 843 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.97227e-07
iter 844 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21554e-14 | ‖∇‖ = 3.95523e-07
iter 845 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.93827e-07
iter 846 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.92137e-07
iter 847 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91114e-14 | ‖∇‖ = 3.90455e-07
iter 848 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.88781e-07
iter 849 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.87113e-07
iter 850 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30441e-14 | ‖∇‖ = 3.85453e-07
iter 851 | Ω_tilde = 4.263505416e-02 | ΔΩ = -9.21485e-14 | ‖∇‖ = 3.83800e-07
iter 852 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.82154e-07
iter 853 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.80516e-07
iter 854 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.78884e-07
iter 855 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.77259e-07
iter 856 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30441e-14 | ‖∇‖ = 3.75642e-07
iter 857 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.74031e-07
iter 858 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91114e-14 | ‖∇‖ = 3.72428e-07
iter 859 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.70831e-07
iter 860 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.69241e-07
iter 861 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.67658e-07
iter 862 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.66082e-07
iter 863 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60812e-14 | ‖∇‖ = 3.64513e-07
iter 864 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.62950e-07
iter 865 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.61395e-07
iter 866 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.59846e-07
iter 867 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.58303e-07
iter 868 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.56768e-07
iter 869 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.55239e-07
iter 870 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 3.53716e-07
iter 871 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.52200e-07
iter 872 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.50691e-07
iter 873 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30441e-14 | ‖∇‖ = 3.49188e-07
iter 874 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.47692e-07
iter 875 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.46202e-07
iter 876 | Ω_tilde = 4.263505416e-02 | ΔΩ = -6.91114e-14 | ‖∇‖ = 3.44719e-07
iter 877 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.43242e-07
iter 878 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.41771e-07
iter 879 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 3.40307e-07
iter 880 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.38849e-07
iter 881 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.37398e-07
iter 882 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.35952e-07
iter 883 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.34513e-07
iter 884 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60812e-14 | ‖∇‖ = 3.33080e-07
iter 885 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.31654e-07
iter 886 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.30233e-07
iter 887 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.28819e-07
iter 888 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.27410e-07
iter 889 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.26008e-07
iter 890 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.24612e-07
iter 891 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.23222e-07
iter 892 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 3.21838e-07
iter 893 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.20460e-07
iter 894 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.19087e-07
iter 895 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.17721e-07
iter 896 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 3.16361e-07
iter 897 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.15006e-07
iter 898 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.13657e-07
iter 899 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30441e-14 | ‖∇‖ = 3.12315e-07
iter 900 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.10978e-07
iter 901 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.09646e-07
iter 902 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.08321e-07
iter 903 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.07001e-07
iter 904 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.05687e-07
iter 905 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.04378e-07
iter 906 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.03076e-07
iter 907 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 3.01778e-07
iter 908 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 3.00487e-07
iter 909 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.99201e-07
iter 910 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.97920e-07
iter 911 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.96646e-07
iter 912 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.95376e-07
iter 913 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.94112e-07
iter 914 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.92854e-07
iter 915 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.91601e-07
iter 916 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.90353e-07
iter 917 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.89111e-07
iter 918 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.87874e-07
iter 919 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.86642e-07
iter 920 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.85416e-07
iter 921 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.84195e-07
iter 922 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.82979e-07
iter 923 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.81769e-07
iter 924 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.80564e-07
iter 925 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.79364e-07
iter 926 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.78169e-07
iter 927 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30441e-14 | ‖∇‖ = 2.76979e-07
iter 928 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.75794e-07
iter 929 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.74615e-07
iter 930 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.73441e-07
iter 931 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.72271e-07
iter 932 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.71107e-07
iter 933 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.69948e-07
iter 934 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.68793e-07
iter 935 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.67644e-07
iter 936 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.66500e-07
iter 937 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.65360e-07
iter 938 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.64226e-07
iter 939 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.63096e-07
iter 940 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.61972e-07
iter 941 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.60852e-07
iter 942 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.59737e-07
iter 943 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.58626e-07
iter 944 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.57521e-07
iter 945 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.56420e-07
iter 946 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.55324e-07
iter 947 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 2.54233e-07
iter 948 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.53147e-07
iter 949 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.52065e-07
iter 950 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.50988e-07
iter 951 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.49915e-07
iter 952 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.48847e-07
iter 953 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.47784e-07
iter 954 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.46725e-07
iter 955 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.45671e-07
iter 956 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.44621e-07
iter 957 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.43576e-07
iter 958 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.42535e-07
iter 959 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.41499e-07
iter 960 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.40468e-07
iter 961 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.39441e-07
iter 962 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.38418e-07
iter 963 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.37399e-07
iter 964 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.36385e-07
iter 965 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.35376e-07
iter 966 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.34370e-07
iter 967 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.33369e-07
iter 968 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.32373e-07
iter 969 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.31380e-07
iter 970 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.30392e-07
iter 971 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.29409e-07
iter 972 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.28429e-07
iter 973 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.27454e-07
iter 974 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.26483e-07
iter 975 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60743e-14 | ‖∇‖ = 2.25516e-07
iter 976 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.24553e-07
iter 977 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.23594e-07
iter 978 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.22639e-07
iter 979 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.21689e-07
iter 980 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.20743e-07
iter 981 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.19800e-07
iter 982 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.18862e-07
iter 983 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.17928e-07
iter 984 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.16998e-07
iter 985 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.16072e-07
iter 986 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.15150e-07
iter 987 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.14231e-07
iter 988 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.13317e-07
iter 989 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.12407e-07
iter 990 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30371e-14 | ‖∇‖ = 2.11500e-07
iter 991 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.10598e-07
iter 992 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.09699e-07
iter 993 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30371e-14 | ‖∇‖ = 2.08805e-07
iter 994 | Ω_tilde = 4.263505416e-02 | ΔΩ = -4.60812e-14 | ‖∇‖ = 2.07914e-07
iter 995 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30441e-14 | ‖∇‖ = 2.07027e-07
iter 996 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.06143e-07
iter 997 | Ω_tilde = 4.263505416e-02 | ΔΩ = 0.00000e+00 | ‖∇‖ = 2.05264e-07
iter 998 | Ω_tilde = 4.263505416e-02 | ΔΩ = -2.30441e-14 | ‖∇‖ = 2.04388e-07
iter 999 | Ω_tilde = 4.263505416e-02 | ΔΩ = 2.30441e-14 | ‖∇‖ = 2.03516e-07
WF.info()
Wannier Function Report
===============================================================
WF 1: center = [0.48359715, 0.27920494] Omega = 0.23351398
WF 2: center = [0.99999999, 1.17364091] Omega = 0.23351291
WF 3: center = [1.51640285, 0.27920494] Omega = 0.23351325
Sum : center = [2.99999998, 1.73205079] Omega tot = 0.70054014
---------------------------------------------------------------
Omega I = 0.65790508
Omega D = 0.00681689
Omega OD = 0.03581816
Omega tot = 0.70054014
Now the spreads have been minimized, and the Wannier functions are maximally localized. To help validate that the Wannier functions are indeed exponentially localized, we can plot the decay of each Wannier function’s weight away from its center with plot_decay. This will plot the absolute value of each Wannier function as a function of distance from its center on a logarithmic scale.
fig, ax = WF.plot_decay(0, show=True)
fig, ax = WF.plot_density(0, show=True)
Note that we have effectively broken the primitive translational symmetry of the underlying lattice by choosing a subset of trial wavefunctions on three out of the four low energy sites in the supercell. We can see their positions using plot_centers
fig, ax = WF.plot_centers(
color_home_cell=True, center_scale=15, legend=True, pmx=4, pmy=4, show=True
)
Wannier interpolation#
We can view the Wannier interpolated bands by calling plot_interp_bands. We specify a set of high-symmetry k-points that defines the one-dimensional path along which the bands are plotted.
k_nodes = [
[0, 0],
[2 / 3, 1 / 3],
[1 / 2, 1 / 2],
[1 / 3, 2 / 3],
[0, 0],
[1 / 2, 1 / 2],
]
k_label = (r"$\Gamma $", r"$K$", r"$M$", r"$K^\prime$", r"$\Gamma $", r"$M$")
n_interp = 501
interp_energies = WF.interp_bands(k_nodes, n_interp=n_interp, ret_eigvecs=False)
fig, ax = model.plot_bands(
k_nodes=k_nodes,
nk=501,
k_node_labels=k_label,
proj_orb_idx=high_E_sites,
cmap="plasma",
)
(k_vec, k_dist, k_node) = model.k_path(k_nodes, nk=n_interp, report=False)
ax.plot(k_dist, interp_energies, ls="--", c="lightgreen", lw=2, zorder=5, alpha=1)
# plot windows
if frozen_window is not None:
ax.axhline(frozen_window[0], ls="--", c="b", label="frozen window")
ax.axhline(frozen_window[1], ls="--", c="b")
ax.axhline(outer_window[0], ls=":", c="r", label="disentanglement window")
ax.axhline(outer_window[1], ls=":", c="r")
ax.legend()
<matplotlib.legend.Legend at 0x79ac301b4260>
