From 345fd14a39b683a81faea8130679281108de6a79 Mon Sep 17 00:00:00 2001 From: phibeck Date: Wed, 4 Aug 2021 12:56:09 -0400 Subject: [PATCH] feat: optical prop with Wannier90 and WannierBerri All existing transport features from SumkDFTTools are now integrated in sumk_dft_transport.py as functions. feat: new code = "wannier90" refactor: free functions instead of sum_k members If code is chosen as wannier90: feat: compute transport function feat: compute OC in Wannier or Hamiltonian basis feat: compute intra- and interband contributions separately in OC --- python/triqs_dft_tools/sumk_dft_tools.py | 175 +- python/triqs_dft_tools/sumk_dft_transport.py | 766 + test/python/CMakeLists.txt | 2 +- test/python/w90_optics/sro.chk | Bin 0 -> 3325297 bytes test/python/w90_optics/sro.eig | 10368 + test/python/w90_optics/sro.inp | 4 + test/python/w90_optics/sro.mmn | 639362 ++++++++++++++++ test/python/w90_optics/sro.wout | 4460 + test/python/w90_optics/sro_hr.dat | 17040 + test/python/w90_optics_Sr2RuO4.py | 70 + 10 files changed, 672232 insertions(+), 15 deletions(-) create mode 100644 python/triqs_dft_tools/sumk_dft_transport.py create mode 100644 test/python/w90_optics/sro.chk create mode 100644 test/python/w90_optics/sro.eig create mode 100644 test/python/w90_optics/sro.inp create mode 100644 test/python/w90_optics/sro.mmn create mode 100644 test/python/w90_optics/sro.wout create mode 100644 test/python/w90_optics/sro_hr.dat create mode 100644 test/python/w90_optics_Sr2RuO4.py diff --git a/python/triqs_dft_tools/sumk_dft_tools.py b/python/triqs_dft_tools/sumk_dft_tools.py index 121f9053..4ec73826 100644 --- a/python/triqs_dft_tools/sumk_dft_tools.py +++ b/python/triqs_dft_tools/sumk_dft_tools.py @@ -31,6 +31,8 @@ from .symmetry import * from .sumk_dft import SumkDFT from scipy.integrate import * from scipy.interpolate import * +from scipy import constants as constants +from itertools import product if not hasattr(numpy, 'full'): # polyfill full for older numpy: @@ -1079,6 +1081,17 @@ class SumkDFTTools(SumkDFT): if(self.dft_code=="wien2k"): self.cell_vol = self.cellvolume(self.lattice_type, self.lattice_constants, self.lattice_angles)[1] + def read_transport_input_from_hdf_wannier90(self): + r""" + Reads the data for transport calculations from the hdf5 archive. + """ + thingstoread = ['band_window_optics', 'nk_optics'] + self.read_input_from_hdf( + subgrp=self.transp_data, things_to_read=thingstoread) + thingstoread = ['band_window', 'n_symmetries', 'rot_symmetries'] + self.read_input_from_hdf( + subgrp=self.misc_data, things_to_read=thingstoread) + def cellvolume(self, lattice_type, lattice_constants, latticeangle): r""" Determines the conventional und primitive unit cell volumes. @@ -1117,7 +1130,7 @@ class SumkDFTTools(SumkDFT): return vol_c, vol_p # Uses .data of only GfReFreq objects. - def transport_distribution(self, beta, directions=['xx'], energy_window=None, Om_mesh=[0.0], with_Sigma=False, n_om=None, broadening=0.0): + def transport_distribution(self, beta, directions=['xx'], energy_window=None, Om_mesh=[0.0], with_Sigma=False, n_om=None, broadening=0.0, code='wien2k'): r""" Calculates the transport distribution @@ -1148,23 +1161,145 @@ class SumkDFTTools(SumkDFT): with_Sigma = False. broadening : double, optional Lorentzian broadening. It is necessary to specify the boradening if with_Sigma = False, otherwise this parameter can be set to 0.0. + code : string + DFT code from which velocities are being read. Options: 'wien2k', 'wannier90' """ + BOHRTOANG = constants.physical_constants['Bohr radius'][0]/constants.angstrom + HARTREETOEV = constants.physical_constants['Hartree energy'][0]/constants.eV + n_inequiv_spin_blocks = self.SP + 1 - self.SO - # Check if wien converter was called and read transport subgroup form - # hdf file - if mpi.is_master_node(): - ar = HDFArchive(self.hdf_file, 'r') - if not (self.transp_data in ar): - raise IOError("transport_distribution: No %s subgroup in hdf file found! Call convert_transp_input first." % self.transp_data) - # check if outputs file was converted - if not ('n_symmetries' in ar['dft_misc_input']): - raise IOError("transport_distribution: n_symmetries missing. Check if case.outputs file is present and call convert_misc_input() or convert_dft_input().") + if code in ('wien2k'): + # Check if wien converter was called and read transport subgroup form + # hdf file + if mpi.is_master_node(): + ar = HDFArchive(self.hdf_file, 'r') + if not (self.transp_data in ar): + raise IOError("transport_distribution: No %s subgroup in hdf file found! Call convert_transp_input first." % self.transp_data) + # check if outputs file was converted + if not ('n_symmetries' in ar['dft_misc_input']): + raise IOError("transport_distribution: n_symmetries missing. Check if case.outputs file is present and call convert_misc_input() or convert_dft_input().") - self.read_transport_input_from_hdf() + self.read_transport_input_from_hdf() + cell_volume = self.cellvolume(self.lattice_type, self.lattice_constants, self.lattice_angles)[1] + n_symmetries = self.n_symmetries + + elif code in ('wannier90'): + # check if spin-unpolarized + assert n_inequiv_spin_blocks == 1, "Spin-polarized optical conductivity calculations not implemented with Wannier90" + + # read in transport input + self.read_transport_input_from_hdf_wannier90() + # checks for right formatting of self.nk_optics + assert len(self.nk_optics) in [1,3], '"nk_optics" must be given as three integers or one float' + if len(self.nk_optics) == 1: assert np.array(list(self.nk_optics)).dtype in (int, float), '"nk_optics" single value must be float or integer' + if len(self.nk_optics) == 3: assert np.array(list(self.nk_optics)).dtype == int, '"nk_optics" mesh must be integers' + n_symmetries = 1 + + # calculate velocity + #wberri = wb.System_w90('/mnt/home/sbeck/Dropbox/ccqlin030/sro/I4_mmm_prim/wan_conv_12_v/sro', berry=True) + pathname = './' + seedname = 'sro' + fermi = 0. + if len(self.nk_optics) == 1: + interpolate_factor = self.nk_optics[0] + nk_x, nk_y, nk_z = list(map(lambda i: int(numpy.ceil(interpolate_factor * len(set(self.kpts[:,i])))), range(3))) + else: + nk_x, nk_y, nk_z = self.nk_optics + #nk_x, nk_y, nk_z = 10 + #nk_x, nk_y, nk_z = 12 + #nk_x, nk_y, nk_z = 34 + n_orb = numpy.max([self.n_orbitals[ik][0] for ik in range(self.n_k)]) + shift_gamma = [0.0,0.0,0.0] + #shift_gamma = [0.015,0.015,0.015] + things_to_modify = {'bz_weights': None, 'hopping': None, 'kpt_weights': None, 'kpts': None, + 'n_k': None, 'n_orbitals': None, 'proj_mat': None, 'band_window': None, 'band_window_optics': None} + things_to_store = dict.fromkeys(things_to_modify, None) + + # initialize variables + n_kpts = nk_x * nk_y * nk_z + kpts = numpy.zeros((n_kpts, 3)) + hopping = numpy.zeros((n_kpts, 1, n_orb, n_orb), dtype=complex) + proj_mat = numpy.zeros(numpy.shape(hopping[:,0,0,0]) + numpy.shape(self.proj_mat[0,:]), dtype=complex) + if mpi.is_master_node(): + print(hopping.shape, self.proj_mat.shape, numpy.shape(hopping[:,0,0,0]) + numpy.shape(self.proj_mat[0,:])) + # simple modifications + things_to_modify['n_k'] = n_kpts + things_to_modify['n_orbitals'] = numpy.full((n_kpts, 1), n_orb) + for key in ['bz_weights', 'kpt_weights']: + things_to_modify[key] = numpy.full(n_kpts, 1/n_kpts) + n_inequiv_spin_blocks = self.SP + 1 - self.SO + for key in ['band_window', 'band_window_optics']: + things_to_modify[key] = [numpy.full((n_kpts, 2), self.band_window[isp][0]) for isp in range(n_inequiv_spin_blocks)] + + velocities_k = None + cell_volume = None + kpts = None + + if mpi.is_master_node(): + # try wannierberri import + try: + import wannierberri as wb + except ImportError: + print('ImportError: WannierBerri needs to be installed to run test "Py_w90_optics_Sr2RuO4"') + try: + mpi.MPI.COMM_WORLD.Abort(1) + except: + sys.exit() + # initialize WannierBerri system + wberri = wb.System_w90(pathname + seedname, berry=True) + grid = wb.Grid(wberri, NKdiv=1, NKFFT=[nk_x, nk_y, nk_z]) + dataK = Data_K(wberri, dK=shift_gamma, grid=grid) + + # construct velocities from dataK + V_H_diag = numpy.zeros(numpy.shape(dataK.V_H), dtype=complex) + V_H_diag[:, range(V_H_diag.shape[1]), range(V_H_diag.shape[1]), :] = numpy.diagonal(dataK.V_H[:,:,:,:],axis1=1, axis2=2).transpose(0,2,1).copy() + velocities_k = ( V_H_diag - dataK.A_Hbar * 1j*( dataK.E_K[:,None,:,None] - dataK.E_K[:,:,None,None] ) ) / HARTREETOEV / BOHRTOANG + #velocities_k = V_H_diag / HARTREETOEV / BOHRTOANG + + # read in hoppings and proj_mat + hopping[:,0,range(hopping.shape[2]),range(hopping.shape[3])] = dataK.E_K + for isp in range(n_inequiv_spin_blocks): + iorb = 0 + for icrsh in range(self.n_corr_shells): + dim = self.corr_shells[icrsh]['dim'] + proj_mat[:,isp,icrsh,0:dim,:] = dataK.UU_K[:,iorb:iorb+dim,:] + iorb += dim + + # read in rest from dataK + cell_volume = dataK.cell_volume / BOHRTOANG ** 3 + kpts = dataK.kpoints_all + + # broadcast everything + velocities_k = mpi.bcast(velocities_k) + cell_volume = mpi.bcast(cell_volume) + kpts = mpi.bcast(kpts) + hopping = mpi.bcast(hopping) + proj_mat = mpi.bcast(proj_mat) + + # upgrade sumk quantities for interpolation + things_to_modify['kpts'] = kpts + things_to_modify['hopping'] = hopping + things_to_modify['proj_mat'] = proj_mat + mpi.barrier() + + if mpi.is_master_node(): + print(self.n_k, nk_x, nk_y, nk_z) + for key in things_to_modify: + things_to_store[key] = getattr(self, key) + setattr(self, key, things_to_modify[key]) + #if mpi.is_master_node(): + #print(key, things_to_store[key] ) + #print(getattr(self, key)) + # write velocities to file + if mpi.is_master_node(): + ar = HDFArchive(self.hdf_file, 'a') + ar['dft_transp_input']['velocities_k'] = velocities_k if mpi.is_master_node(): # k-dependent-projections. - assert self.k_dep_projection == 1, "transport_distribution: k dependent projection is not implemented!" + # to be checked. But this should be obsolete atm, works for both cases + # k_dep_projection is nowhere used + # assert sum_k.k_dep_projection == 0, "transport_distribution: k dependent projection is not implemented!" # positive Om_mesh assert all( Om >= 0.0 for Om in Om_mesh), "transport_distribution: Om_mesh should not contain negative values!" @@ -1184,7 +1319,6 @@ class SumkDFTTools(SumkDFT): "####################################################################\n") # up and down are equivalent if SP = 0 - n_inequiv_spin_blocks = self.SP + 1 - self.SO self.directions = directions dir_to_int = {'x': 0, 'y': 1, 'z': 2} @@ -1249,6 +1383,8 @@ class SumkDFTTools(SumkDFT): self.Gamma_w = {direction: numpy.zeros( (len(self.Om_mesh), n_om), dtype=float) for direction in self.directions} + max_orb = numpy.max([self.n_orbitals[ik][0] for ik in range(self.n_k)]) + #Akw_write = numpy.zeros((self.n_k, max_orb, max_orb, n_om), dtype=numpy.complex_) # Sum over all k-points ikarray = numpy.array(list(range(self.n_k))) @@ -1267,6 +1403,7 @@ class SumkDFTTools(SumkDFT): for iw in range(n_om): A_kw[isp][:, :, iw] = -1.0 / (2.0 * numpy.pi * 1j) * ( A_kw[isp][:, :, iw] - numpy.conjugate(numpy.transpose(A_kw[isp][:, :, iw]))) + #Akw_write[ik] = A_kw[isp].copy() * self.bz_weights[ik] b_min = max(self.band_window[isp][ ik, 0], self.band_window_optics[isp][ik, 0]) @@ -1280,7 +1417,10 @@ class SumkDFTTools(SumkDFT): # loop over all symmetries for R in self.rot_symmetries: # get transformed velocity under symmetry R - vel_R = copy.deepcopy(self.velocities_k[isp][ik]) + if code in ('wien2k'): + vel_R = copy.deepcopy(self.velocities_k[isp][ik]) + elif code in ('wannier90'): + vel_R = copy.deepcopy(velocities_k[ik]) for nu1 in range(self.band_window_optics[isp][ik, 1] - self.band_window_optics[isp][ik, 0] + 1): for nu2 in range(self.band_window_optics[isp][ik, 1] - self.band_window_optics[isp][ik, 0] + 1): vel_R[nu1][nu2][:] = numpy.dot( @@ -1298,6 +1438,13 @@ class SumkDFTTools(SumkDFT): A_kw[isp][A_i, A_i, int(iw + iOm_mesh[iq])]), vel_R[v_i, v_i, dir_to_int[direction[1]]]), A_kw[isp][A_i, A_i, iw]).trace().real * self.bz_weights[ik]) + #Akw_write = mpi.all_reduce(mpi.world, Akw_write, lambda x, y: x + y) + #mpi.barrier() + #if mpi.is_master_node(): + # ar = HDFArchive(self.hdf_file, 'a') + # ar.create_group('Akw') + # ar['Akw'] = numpy.sum(numpy.trace(Akw_write, axis1=1, axis2=2), axis=0) + for direction in self.directions: self.Gamma_w[direction] = (mpi.all_reduce(mpi.world, self.Gamma_w[direction], lambda x, y: x + y) / self.cell_vol / self.n_symmetries) diff --git a/python/triqs_dft_tools/sumk_dft_transport.py b/python/triqs_dft_tools/sumk_dft_transport.py new file mode 100644 index 00000000..d5f718fa --- /dev/null +++ b/python/triqs_dft_tools/sumk_dft_transport.py @@ -0,0 +1,766 @@ +########################################################################## + +# +# TRIQS: a Toolbox for Research in Interacting Quantum Systems +# +# Copyright (C) 2011 by M. Aichhorn, L. Pourovskii, V. Vildosola +# +# TRIQS is free software: you can redistribute it and/or modify it under the +# terms of the GNU General Public License as published by the Free Software +# Foundation, either version 3 of the License, or (at your option) any later +# version. +# +# TRIQS is distributed in the hope that it will be useful, but WITHOUT ANY +# WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS +# FOR A PARTICULAR PURPOSE. See the GNU General Public License for more +# details. +# +# You should have received a copy of the GNU General Public License along with +# TRIQS. If not, see . +# +########################################################################## +import sys +import numpy +from triqs.gf import * +import triqs.utility.mpi as mpi +from .symmetry import * +from .sumk_dft import SumkDFT +import scipy.constants as cst +import os.path + +__all__ = ['transport_distribution', 'conductivity_and_seebeck', 'write_output_to_hdf', + 'init_spectroscopy', 'transport_function'] + +# ----------------- helper functions ----------------------- + +def read_transport_input_from_hdf(sum_k): + r""" + Reads the data for transport calculations from the hdf5 archive. + + Parameters + ---------- + sum_k : sum_k object + triqs SumkDFT object + + Returns + ------- + sum_k : sum_k object + triqs SumkDFT object + """ + thingstoread = ['band_window_optics', 'velocities_k'] + sum_k.read_input_from_hdf( + subgrp=sum_k.transp_data, things_to_read=thingstoread) + thingstoread = ['band_window', 'lattice_angles', 'lattice_constants', + 'lattice_type', 'n_symmetries', 'rot_symmetries'] + sum_k.read_input_from_hdf(subgrp=sum_k.misc_data, things_to_read=thingstoread) + + return sum_k + +def read_transport_input_from_hdf_wannier90(sum_k): + r""" + Reads the data for transport calculations from the hdf5 archive. + + Parameters + ---------- + sum_k : sum_k object + triqs SumkDFT object + + Returns + ------- + sum_k : sum_k object + triqs SumkDFT object + """ + thingstoread = ['band_window_optics'] + sum_k.read_input_from_hdf( + subgrp=sum_k.transp_data, things_to_read=thingstoread) + thingstoread = ['band_window', 'n_symmetries', 'rot_symmetries'] + sum_k.read_input_from_hdf(subgrp=sum_k.misc_data, things_to_read=thingstoread) + + return sum_k + +def write_output_to_hdf(sum_k, things_to_save, subgrp='user_data'): + r""" + Saves data from a list into the HDF file. Prints a warning if a requested data is not found in SumkDFT object. + + Parameters + ---------- + hdf_file : hdf5 archive + hd5 file + things_to_save : list of strings + List of datasets to be saved into the hdf5 file. + subgrp : string, optional + Name of hdf5 file subgroup in which the data are to be stored. + """ + + if not (mpi.is_master_node()): + return # do nothing on nodes + with HDFArchive(sum_k.hdf_file, 'a') as ar: + if not subgrp in ar: ar.create_group(subgrp) + for it, val in things_to_save.items(): + if it in [ "gf_struct_sumk", "gf_struct_solver", + "solver_to_sumk", "sumk_to_solver", "solver_to_sumk_block"]: + warn("It is not recommended to save '{}' individually. Save 'block_structure' instead.".format(it)) + ar[subgrp][it] = val + +def cellvolume(lattice_type, lattice_constants, latticeangle): + r""" + Determines the conventional und primitive unit cell volumes. + + Parameters + ---------- + lattice_type : string + Lattice type according to the Wien2k convention (P, F, B, R, H, CXY, CYZ, CXZ). + lattice_constants : list of double + Lattice constants (a, b, c). + lattice angles : list of double + Lattice angles (:math:`\alpha, \beta, \gamma`). + + Returns + ------- + vol_c : double + Conventional unit cell volume. + vol_p : double + Primitive unit cell volume. + """ + + a = lattice_constants[0] + b = lattice_constants[1] + c = lattice_constants[2] + c_al = numpy.cos(latticeangle[0]) + c_be = numpy.cos(latticeangle[1]) + c_ga = numpy.cos(latticeangle[2]) + vol_c = a * b * c * \ + numpy.sqrt(1 + 2 * c_al * c_be * c_ga - + c_al ** 2 - c_be ** 2 - c_ga ** 2) + + det = {"P": 1, "F": 4, "B": 2, "R": 3, + "H": 1, "CXY": 2, "CYZ": 2, "CXZ": 2} + vol_p = vol_c / det[lattice_type] + + return vol_c, vol_p + +def fermi_dis(w, beta, der=0): + r""" + Fermi distribution. + + .. math:: + f(x) = 1/(e^x+1). + + Parameters + ---------- + w : double + frequency + beta : double + inverse temperature + der : integer + order of derivative + + Returns + ------- + f : double + """ + exponent = numpy.float128(w * beta) + fermi = 1.0 / (numpy.exp(exponent) + 1) + if der == 0: + return fermi + elif der == 1: + return - beta * fermi ** 2 * numpy.exp(exponent) + else: + raise('higher order of derivative than 1 not implemented') + +def recompute_w90_input_on_different_mesh(sum_k, seedname, nk_optics, pathname='./', calc_velocity=False, calc_inverse_mass=False): + r""" + Recomputes dft_input objects on a finer mesh using WannierBerri and Wannier90 input. + + + Parameters + ---------- + sum_k : sum_k object + triqs SumkDFT object + seedname: string + Wannier90 seedname + nk_optics: single integer/float or three integers + if single integer given, mesh is [nk_optics, nk_optics, nk_optics] + elif single float given, mesh is ceiling of *sum_k.kpts * nk_optics + elif three integers given, mesh is nk_optics + pathname : string, optional, default='./' + location of Wannier90 data + calc_velocity : boolean, optional, default=False + whether the velocity (first derivative of H(k)) is computed + calc_inverse_mass : boolean, optional, default=False + whether the inverse effective mass (second derivative of H(k)) is computed + + Returns + ------- + sum_k : sum_k object + triqs SumkDFT object + things_to_store : dictionary + dictionary of datasets to be temporarily overwritten + """ + + BOHRTOANG = cst.physical_constants['Bohr radius'][0]/cst.angstrom + HARTREETOEV = cst.physical_constants['Hartree energy'][0]/cst.eV + n_inequiv_spin_blocks = sum_k.SP + 1 - sum_k.SO + + # set-up k mesh depending on input shape + # read in transport input and some checks + read_transport_input_from_hdf_wannier90(sum_k) + + # first check for right formatting of sum_k.nk_optics + assert len(nk_optics) in [1,3], '"nk_optics" must be given as three integers or one float' + if len(nk_optics) == 1: assert numpy.array(list(nk_optics)).dtype in (int, float), '"nk_optics" single value must be float or integer' + if len(nk_optics) == 3: assert numpy.array(list(nk_optics)).dtype == int, '"nk_optics" mesh must be integers' + if len(nk_optics) == 1: + interpolate_factor = nk_optics[0] + nk_x, nk_y, nk_z = list(map(lambda i: int(numpy.ceil(interpolate_factor * len(set(sum_k.kpts[:,i])))), range(3))) + else: + nk_x, nk_y, nk_z = nk_optics + + n_orb = numpy.max([sum_k.n_orbitals[ik][0] for ik in range(sum_k.n_k)]) + + # temporarily recompute the following quantities on a different mesh + things_to_modify = {'bz_weights': None, 'hopping': None, 'kpt_weights': None, 'kpts': None, + 'n_k': None, 'n_orbitals': None, 'proj_mat': None, 'band_window': None, 'band_window_optics': None} + things_to_store = dict.fromkeys(things_to_modify, None) + + # initialize variables + n_kpts = nk_x * nk_y * nk_z + kpts = numpy.zeros((n_kpts, 3)) + hopping = numpy.zeros((n_kpts, 1, n_orb, n_orb), dtype=complex) + proj_mat = numpy.zeros(numpy.shape(hopping[:,0,0,0]) + numpy.shape(sum_k.proj_mat[0,:]), dtype=complex) + cell_volume = kpts = None + if calc_velocity: velocities_k = None + if calc_inverse_mass: inverse_mass = None + + if mpi.is_master_node(): + # try wannierberri import + try: + import wannierberri as wb + except ImportError: + print('ImportError: WannierBerri needs to be installed to run test "Py_w90_optics_Sr2RuO4"') + try: + mpi.MPI.COMM_WORLD.Abort(1) + except: + sys.exit() + # initialize WannierBerri system + shift_gamma = numpy.array([0.0,0.0,0.0]) + #wberri = wb.System_w90(pathname + seedname, berry=True, fft='numpy') + # WannierBerri uses python multiprocessing which might conflict with mpi. + # if there's a segfault, uncomment the following line + wberri = wb.System_w90(pathname + seedname, berry=True, fft='numpy', npar=16) + grid = wb.Grid(wberri, NKdiv=1, NKFFT=[nk_x, nk_y, nk_z]) + dataK = wb.data_K.Data_K(wberri, dK=shift_gamma, grid=grid, fftlib='numpy') + + # read in hoppings and proj_mat + hopping[:,0,range(hopping.shape[2]),range(hopping.shape[3])] = dataK.E_K + for isp in range(n_inequiv_spin_blocks): + iorb = 0 + for icrsh in range(sum_k.n_corr_shells): + dim = sum_k.corr_shells[icrsh]['dim'] + proj_mat[:,isp,icrsh,0:dim,:] = dataK.UU_K[:,iorb:iorb+dim,:] + iorb += dim + + if calc_velocity: + # construct velocities from dataK + V_H_diag = numpy.zeros(numpy.shape(dataK.Xbar('Ham', 1)), dtype=complex) + V_H_diag[:, range(V_H_diag.shape[1]), range(V_H_diag.shape[1]), :] = numpy.einsum('knna -> kna', dataK.Xbar('Ham', 1)) + velocities_k = ( V_H_diag - dataK.Xbar('AA') * 1j*( dataK.E_K[:,None,:,None] - dataK.E_K[:,:,None,None] ) ) / HARTREETOEV / BOHRTOANG + + if calc_inverse_mass: + V_dot_D = numpy.einsum('kmnab, knoab -> kmoab', dataK.Xbar('Ham', 1)[:,:,:,:,None], dataK.D_H[:,:,:,None,:]) + V_dot_D_dagger = V_dot_D.conj().transpose(0,2,1,3,4) + V_curly = numpy.einsum('knnab -> knab', V_dot_D + V_dot_D_dagger) + del2E_H_diag = numpy.einsum('knnab->knab', dataK.Xbar('Ham', 2)).real + inverse_mass = del2E_H_diag + V_curly + + # read in rest from dataK + cell_volume = dataK.cell_volume / BOHRTOANG ** 3 + kpts = dataK.kpoints_all + + # broadcast everything + cell_volume = mpi.bcast(cell_volume) + kpts = mpi.bcast(kpts) + hopping = mpi.bcast(hopping) + proj_mat = mpi.bcast(proj_mat) + if calc_velocity: velocities_k = mpi.bcast(velocities_k) + if calc_inverse_mass: inverse_mass = mpi.bcast(inverse_mass) + + # write interpolated sumk quantities into "things_to_modify" + things_to_modify['n_k'] = n_kpts + things_to_modify['n_orbitals'] = numpy.full((n_kpts, 1), n_orb) + for key in ['bz_weights', 'kpt_weights']: + things_to_modify[key] = numpy.full(n_kpts, 1/n_kpts) + n_inequiv_spin_blocks = sum_k.SP + 1 - sum_k.SO + for key in ['band_window', 'band_window_optics']: + things_to_modify[key] = [numpy.full((n_kpts, 2), sum_k.band_window[isp][0]) for isp in range(n_inequiv_spin_blocks)] + things_to_modify['kpts'] = kpts + things_to_modify['hopping'] = hopping + things_to_modify['proj_mat'] = proj_mat + if calc_velocity: + sum_k.velocities_k = None + things_to_modify['velocities_k'] = velocities_k + if calc_inverse_mass: + sum_k.inverse_mass = None + things_to_modify['inverse_mass'] = inverse_mass + + # now save previous sum_k instances into "things_to_store" and overwrite + # TODO: decide whether this should be undone after the run + for key in things_to_modify: + things_to_store[key] = getattr(sum_k, key) + setattr(sum_k, key, things_to_modify[key]) + + # write velocities to file + if calc_velocity: + if mpi.is_master_node(): + ar = HDFArchive(sum_k.hdf_file, 'a') + ar['dft_transp_input']['velocities_k'] = velocities_k + if calc_inverse_mass: + if mpi.is_master_node(): + ar = HDFArchive(sum_k.hdf_file, 'a') + ar['dft_transp_input']['inverse_mass'] = inverse_mass + + return sum_k, cell_volume, things_to_store + +# ----------------- transport ----------------------- + +def init_spectroscopy(sum_k, code='wien2k', w90_params={}): + r""" + Reads all necessary quantities for transport calculations from transport subgroup of the hdf5 archive. + Performs checks on input. Uses interpolation if code=wannier90. + + Parameters + ---------- + sum_k : sum_k object + triqs SumkDFT object + code : string + DFT code from which velocities are being read. Options: 'wien2k', 'wannier90' + w90_params : dictionary, optional + additional keywords necessary in case code == 'wannier90' + + Returns + ------- + sum_k : sum_k object + triqs SumkDFT object, interpolated + cell_volume : double + primitive unit cell volume + """ + + n_inequiv_spin_blocks = sum_k.SP + 1 - sum_k.SO + # up and down are equivalent if SP = 0 + + # ----------------- set-up input from DFT ----------------------- + if code in ('wien2k'): + # Check if wien converter was called and read transport subgroup form + # hdf file + if mpi.is_master_node(): + ar = HDFArchive(sum_k.hdf_file, 'r') + if not (sum_k.transp_data in ar): + raise IOError("transport_distribution: No %s subgroup in hdf file found! Call convert_transp_input first." % sum_k.transp_data) + # check if outputs file was converted + if not ('n_symmetries' in ar['dft_misc_input']): + raise IOError("transport_distribution: n_symmetries missing. Check if case.outputs file is present and call convert_misc_input() or convert_dft_input().") + + sum_k = read_transport_input_from_hdf(sum_k) + _, cell_volume = cellvolume(sum_k.lattice_type, sum_k.lattice_constants, sum_k.lattice_angles) + + elif code in ('wannier90'): + required_entries = ['seedname', 'nk_optics'] + assert all(entry in w90_params for entry in required_entries), 'Please provide additional keywords "seedname" and "nk_optics" for "code = "wannier90""' + # check if spin-unpolarized + assert n_inequiv_spin_blocks == 1, "Spin-polarized optical conductivity calculations not implemented with Wannier90" + + # check some of the input + pathname = w90_params['pathname'] if 'pathname' in w90_params else './' + assert all(isinstance(name, str) for name in ['seedname', 'pathname']), f'Check pathname {w90_params["pathname"]} and seedname {w90_params["seedname"]}' + for file_ending in ['.wout', '_hr.dat', '.chk', '.mmn', '.eig']: + filename = [pathname, w90_params['seedname'], file_ending] + assert os.path.isfile(''.join(filename)), f'Filename {"".join(filename)} does not exist!' + calc_velocity = w90_params['calc_velocity'] if 'calc_velocity' in w90_params else True + calc_inverse_mass = w90_params['calc_inverse_mass'] if 'calc_inverse_mass' in w90_params else False + assert all(isinstance(name, bool) for name in [calc_velocity, calc_inverse_mass]), f'Parameter {calc_velocity} or {calc_inverse_mass} not bool!' + + # recompute sum_k instances on denser grid + sum_k, cell_volume, _ = recompute_w90_input_on_different_mesh(sum_k, w90_params['seedname'], nk_optics=w90_params['nk_optics'], pathname=pathname, + calc_velocity=calc_velocity, calc_inverse_mass=calc_inverse_mass) + + # k-dependent-projections. + # to be checked. But this should be obsolete atm, works for both cases + # k_dep_projection is nowhere used + # assert sum_k.k_dep_projection == 0, "transport_distribution: k dependent projection is not implemented!" + + return sum_k, cell_volume + +# Uses .data of only GfReFreq objects. +def transport_distribution(sum_k, beta, cell_volume, directions=['xx'], energy_window=None, Om_mesh=[0.0], with_Sigma=False, n_om=None, broadening=0.0, code='wien2k'): + r""" + Calculates the transport distribution + + .. math:: + \Gamma_{\alpha\beta}\left(\omega+\Omega/2, \omega-\Omega/2\right) = \frac{1}{V} \sum_k Tr\left(v_{k,\alpha}A_{k}(\omega+\Omega/2)v_{k,\beta}A_{k}\left(\omega-\Omega/2\right)\right) + + in the direction :math:`\alpha\beta`. The velocities :math:`v_{k}` are read from the transport subgroup of the hdf5 archive. + + Parameters + ---------- + sum_k : sum_k object + triqs SumkDFT object + beta : double + Inverse temperature :math:`\beta`. + cell_volume : double + primitive unit cell volume + directions : list of string, optional + :math:`\alpha\beta` e.g.: ['xx','yy','zz','xy','xz','yz']. + energy_window : list of double, optional + Specifies the upper and lower limit of the frequency integration for :math:`\Omega=0.0`. The window is automatically enlarged by the largest :math:`\Omega` value, + hence the integration is performed in the interval [energy_window[0]-max(Om_mesh), energy_window[1]+max(Om_mesh)]. + Om_mesh : list of double, optional + :math:`\Omega` frequency mesh of the optical conductivity. For the conductivity and the Seebeck coefficient :math:`\Omega=0.0` has to be + part of the mesh. In the current version Om_mesh is repined to the mesh provided by the self-energy! The actual mesh is printed on the screen and given as output. + with_Sigma : boolean, optional + Determines whether the calculation is performed with or without self energy. If this parameter is set to False the self energy is set to zero (i.e. the DFT band + structure :math:`A(k,\omega)` is used). Note: For with_Sigma=False it is necessary to specify the parameters energy_window, n_om and broadening. + n_om : integer, optional + Number of equidistant frequency points in the interval [energy_window[0]-max(Om_mesh), energy_window[1]+max(Om_mesh)]. This parameters is only used if + with_Sigma = False. + broadening : double, optional + Lorentzian broadening. It is necessary to specify the boradening if with_Sigma = False, otherwise this parameter can be set to 0.0. + code : string + DFT code from which velocities are being read. Options: 'wien2k', 'wannier90' + + Returns + ------- + Gamma_w : dictionary of double matrices + transport distribution function in each direction, frequency given by Om_mesh_out and omega + omega : list of double + omega vector + Om_mesh_out : list of double + frequency mesh of the optical conductivity recomputed on the mesh provided by the self energy + """ + + n_inequiv_spin_blocks = sum_k.SP + 1 - sum_k.SO + # up and down are equivalent if SP = 0 + + # positive om_mesh + assert all(Om >= 0.0 for Om in Om_mesh), "transport_distribution: Om_mesh should not contain negative values!" + # Check if energy_window is sufficiently large and correct + if (energy_window[0] >= energy_window[1] or energy_window[0] >= 0 or energy_window[1] <= 0): + assert 0, "transport_distribution: energy_window wrong!" + + if (abs(fermi_dis(energy_window[0], beta) * fermi_dis(-energy_window[0], beta)) > 1e-5 + or abs(fermi_dis(energy_window[1], beta) * fermi_dis(-energy_window[1], beta)) > 1e-5): + mpi.report( + "\n####################################################################") + mpi.report( + "transport_distribution: WARNING - energy window might be too narrow!") + mpi.report( + "####################################################################\n") + + # ----------------- calculate A(k,w) ----------------------- + + # Define mesh for Green's function and in the specified energy window + if (with_Sigma == True): + omega = numpy.array([round(x.real, 12) + for x in sum_k.Sigma_imp[0].mesh]) + mesh = None + mu = sum_k.chemical_potential + n_om = len(omega) + mpi.report("Using omega mesh provided by Sigma!") + + if energy_window: + # Find according window in Sigma mesh + ioffset = numpy.sum( + omega < energy_window[0] - max(Om_mesh)) + omega = omega[numpy.logical_and(omega >= energy_window[0] - max(Om_mesh), omega <= energy_window[1] + max(Om_mesh))] + n_om = len(omega) + + # Truncate Sigma to given omega window + # In the future there should be an option in gf to manipulate the mesh (e.g. truncate) directly. + # For now we stick with this: + for icrsh in range(sum_k.n_corr_shells): + Sigma_save = sum_k.Sigma_imp[icrsh].copy() + spn = sum_k.spin_block_names[sum_k.corr_shells[icrsh]['SO']] + glist = lambda: [GfReFreq(target_shape=(block_dim, block_dim), window=(omega[ + 0], omega[-1]), n_points=n_om) for block, block_dim in sum_k.gf_struct_sumk[icrsh]] + sum_k.Sigma_imp[icrsh] = BlockGf( + name_list=spn, block_list=glist(), make_copies=False) + for i, g in sum_k.Sigma_imp[icrsh]: + for iL in g.indices[0]: + for iR in g.indices[0]: + for iom in range(n_om): + g.data[iom, int(iL), int(iR)] = Sigma_save[ + i].data[ioffset + iom, int(iL), int(iR)] + else: + assert n_om is not None, "transport_distribution: Number of omega points (n_om) needed to calculate transport distribution!" + assert energy_window is not None, "transport_distribution: Energy window needed to calculate transport distribution!" + assert broadening != 0.0 and broadening is not None, "transport_distribution: Broadening necessary to calculate transport distribution!" + omega = numpy.linspace( + energy_window[0] - max(Om_mesh), energy_window[1] + max(Om_mesh), n_om) + mesh = [energy_window[0] - + max(Om_mesh), energy_window[1] + max(Om_mesh), n_om] + mu = 0.0 + + dir_to_int = {'x': 0, 'y': 1, 'z': 2} + + # Define mesh for optic conductivity + d_omega = round(numpy.abs(omega[0] - omega[1]), 12) + iOm_mesh = numpy.array([round((Om / d_omega), 0) for Om in Om_mesh]) + temp_Om_mesh = iOm_mesh * d_omega + + if mpi.is_master_node(): + print("Chemical potential: ", mu) + print("Using n_om = %s points in the energy_window [%s,%s]" % (n_om, omega[0], omega[-1]), end=' ') + print("where the omega vector is:") + print(omega) + print("Calculation requested for Omega mesh: ", numpy.array(Om_mesh)) + print("Omega mesh automatically repined to: ", temp_Om_mesh) + + Gamma_w = {direction: numpy.zeros((len(temp_Om_mesh), n_om), dtype=numpy.float_) for direction in directions} + + # Sum over all k-points + ikarray = numpy.array(list(range(sum_k.n_k))) + for ik in mpi.slice_array(ikarray): + # Calculate G_w for ik and initialize A_kw + G_w = sum_k.lattice_gf(ik, mu, broadening=broadening, mesh=mesh, with_Sigma=with_Sigma) + A_kw = [numpy.zeros((sum_k.n_orbitals[ik][isp], sum_k.n_orbitals[ik][isp], n_om), dtype=numpy.complex_) + for isp in range(n_inequiv_spin_blocks)] + + for isp in range(n_inequiv_spin_blocks): + # copy data from G_w (swapaxes is used to have omega in the 3rd + # dimension) + A_kw[isp] = copy.deepcopy(G_w[sum_k.spin_block_names[sum_k.SO][ + isp]].data.swapaxes(0, 1).swapaxes(1, 2)) + # calculate A(k,w) for each frequency + for iw in range(n_om): + A_kw[isp][:, :, iw] = -1.0 / (2.0 * numpy.pi * 1j) * ( + A_kw[isp][:, :, iw] - numpy.conjugate(numpy.transpose(A_kw[isp][:, :, iw]))) + #Akw_write[ik] = A_kw[isp].copy() * sum_k.bz_weights[ik] + + b_min = max(sum_k.band_window[isp][ + ik, 0], sum_k.band_window_optics[isp][ik, 0]) + b_max = min(sum_k.band_window[isp][ + ik, 1], sum_k.band_window_optics[isp][ik, 1]) + A_i = slice( + b_min - sum_k.band_window[isp][ik, 0], b_max - sum_k.band_window[isp][ik, 0] + 1) + v_i = slice(b_min - sum_k.band_window_optics[isp][ + ik, 0], b_max - sum_k.band_window_optics[isp][ik, 0] + 1) + + # loop over all symmetries + for R in sum_k.rot_symmetries: + # get transformed velocity under symmetry R + if code in ('wien2k'): + vel_R = copy.deepcopy(sum_k.velocities_k[isp][ik]) + elif code in ('wannier90'): + vel_R = copy.deepcopy(sum_k.velocities_k[ik]) + for nu1 in range(sum_k.band_window_optics[isp][ik, 1] - sum_k.band_window_optics[isp][ik, 0] + 1): + for nu2 in range(sum_k.band_window_optics[isp][ik, 1] - sum_k.band_window_optics[isp][ik, 0] + 1): + vel_R[nu1][nu2][:] = numpy.dot( + R, vel_R[nu1][nu2][:]) + + # calculate Gamma_w for each direction from the velocities + # vel_R and the spectral function A_kw + for direction in directions: + for iw in range(n_om): + for iq in range(len(temp_Om_mesh)): + if(iw + iOm_mesh[iq] >= n_om or omega[iw] < -temp_Om_mesh[iq] + energy_window[0] or omega[iw] > temp_Om_mesh[iq] + energy_window[1]): + continue + + Gamma_w[direction][iq, iw] += (numpy.dot(numpy.dot(numpy.dot(vel_R[v_i, v_i, dir_to_int[direction[0]]], A_kw[isp][A_i, A_i, int(iw + iOm_mesh[iq])]), + vel_R[v_i, v_i, dir_to_int[direction[1]]]), A_kw[isp][A_i, A_i, iw]).trace().real * sum_k.bz_weights[ik]) + + + for direction in directions: + Gamma_w[direction] = (mpi.all_reduce(mpi.world, Gamma_w[direction], lambda x, y: x + y) / cell_volume / sum_k.n_symmetries) + + return Gamma_w, omega, temp_Om_mesh + +def transport_function(beta, directions, hopping, velocities, energy_window, n_om): + r""" + Calculates the transport function + + .. math:: + \Phi_\alpha\beta(\omega) = \sum_k v_{k,\alpha} v_{k,\beta} \delta(\omega-\varepsilon) + + in the direction :math:`\alpha\beta`. + + Parameters + ---------- + beta : double + Inverse temperature :math:`\beta`. + directions : list of string, optional + :math:`\alpha\beta` e.g.: ['xx','yy','zz','xy','xz','yz']. + hopping : double array + Hamiltonian in band basis :math:`\epsilon(k)` + veolcities : complex array + matrix elements derivative of Hamiltonian :math:`\frac{d\epsilon(k)}{dk}` + energy_window : list of double + Specifies the upper and lower limit of the frequency integration for :math:`\Omega=0.0`. The window is automatically enlarged by the largest :math:`\Omega` value, + hence the integration is performed in the interval [energy_window[0]-max(Om_mesh), energy_window[1]+max(Om_mesh)]. + n_om : integer + Number of equidistant frequency points in the interval [energy_window[0]-max(Om_mesh), energy_window[1]+max(Om_mesh)]. This parameters is only used if + with_Sigma = False. + + Returns + ------- + transp_func : dictionary of double array + transport function in each direction, frequencies given by energy_window + """ + + dir_to_int = {'x': 0, 'y': 1, 'z': 2} + + tol = 1/beta + orb_1, orb_2 = velocities.shape[1:3] + ws = numpy.linspace(energy_window[0], energy_window[1], n_om) + transp_func = {direction: numpy.zeros(shape=(ws.shape[0])) for direction in directions} + + for ct, w in enumerate(ws): + idx = numpy.where(numpy.abs(hopping[:,0,range(orb_1),range(orb_2)].real - w) <= tol) + fermi_wg = fermi_dis(hopping[:,0,range(orb_1),range(orb_2)][idx].real - w, beta, 1)/fermi_dis(0., beta, 1) + for direction in directions: + dir_a, dir_b = [dir_to_int[x] for x in direction] + transp_func[direction][ct] = numpy.sum(fermi_wg * velocities[:,range(orb_1),range(orb_2),dir_a][idx] * velocities[:,range(orb_1),range(orb_2),dir_b][idx], axis=0).real + + return transp_func + +def transport_coefficient(Gamma_w, omega, Om_mesh, spin_polarization, direction, iq, n, beta, method=None): + r""" + Calculates the transport coefficient A_n in a given direction for a given :math:`\Omega`. The required members (Gamma_w, directions, Om_mesh) have to be obtained first + by calling the function :meth:`transport_distribution `. For n>0 A is set to NaN if :math:`\Omega` is not 0.0. + + Parameters + ---------- + Gamma_w : dictionary of double matrices + transport distribution function in each direction, frequency given by Om_mesh_out and omega + omega : list of double + omega vector + Om_mesh : list of double + frequency mesh of the optical conductivity recomputed on the mesh provided by the self energy + spin_polarization : integer + Boolean-type integer whether system is spin-polarized or not + direction : string + :math:`\alpha\beta` e.g.: 'xx','yy','zz','xy','xz','yz'. + iq : integer + Index of :math:`\Omega` point in the member Om_mesh. + n : integer + Number of the desired moment of the transport distribution. + beta : double + Inverse temperature :math:`\beta`. + method : string + Integration method: cubic spline and scipy.integrate.quad ('quad'), simpson rule ('simps'), trapezoidal rule ('trapz'), rectangular integration (otherwise) + Note that the sampling points of the the self-energy are used! + + Returns + ------- + A : double + Transport coefficient. + """ + + if not (mpi.is_master_node()): + return + + if (Om_mesh[iq] == 0.0 or n == 0.0): + A = 0.0 + # setup the integrand + if (Om_mesh[iq] == 0.0): + A_int = Gamma_w[direction][iq] * (fermi_dis(omega, beta) * fermi_dis(-omega, beta)) * (omega * beta)**n + elif (n == 0.0): + A_int = Gamma_w[direction][iq] * (fermi_dis(omega, beta) - fermi_dis(omega + Om_mesh[iq], beta)) / (Om_mesh[iq] * beta) + + # w-integration + if method == 'quad': + # quad on interpolated w-points with cubic spline + A_int_interp = interp1d(omega, A_int, kind='cubic') + A = quad(A_int_interp, min(omega), max(omega), + epsabs=1.0e-12, epsrel=1.0e-12, limit=500) + A = A[0] + elif method == 'simps': + # simpson rule for w-grid + A = simps(A_int, omega) + elif method == 'trapz': + # trapezoidal rule for w-grid + A = numpy.trapz(A_int, omega) + else: + # rectangular integration for w-grid (orignal implementation) + d_w = omega[1] - omega[0] + for iw in range(Gamma_w[direction].shape[1]): + A += A_int[iw] * d_w + A = A * numpy.pi * (2.0 - spin_polarization) + else: + A = numpy.nan + return A + +def conductivity_and_seebeck(Gamma_w, omega, Om_mesh, SP, directions, beta, method=None): + r""" + Calculates the Seebeck coefficient and the optical conductivity by calling + :meth:`transport_coefficient `. + The required members (Gamma_w, directions, Om_mesh) have to be obtained first by calling the function + :meth:`transport_distribution `. + + Parameters + ---------- + Gamma_w : dictionary of double matrices + transport distribution function in each direction, frequency given by Om_mesh_out and omega + omega : list of double + omega vector + Om_mesh : list of double + frequency mesh of the optical conductivity recomputed on the mesh provided by the self energy + spin_polarization : integer + Boolean-type integer whether system is spin-polarized or not + directions : list of string, optional + :math:`\alpha\beta` e.g.: ['xx','yy','zz','xy','xz','yz']. + beta : double + Inverse temperature :math:`\beta`. + method : string + Integration method: cubic spline and scipy.integrate.quad ('quad'), simpson rule ('simps'), trapezoidal rule ('trapz'), rectangular integration (otherwise) + Note that the sampling points of the the self-energy are used! + + Returns + ------- + optic_cond : dictionary of double vectors + Optical conductivity in each direction and frequency given by Om_mesh. + + seebeck : dictionary of double + Seebeck coefficient in each direction. If zero is not present in Om_mesh the Seebeck coefficient is set to NaN. + + kappa : dictionary of double. + thermal conductivity in each direction. If zero is not present in Om_mesh the thermal conductivity is set to NaN + """ + + if not (mpi.is_master_node()): + return + + n_q = Gamma_w[directions[0]].shape[0] + + # initialization + A0 = {direction: numpy.full((n_q,), numpy.nan) for direction in directions} + A1 = {direction: numpy.full((n_q,), numpy.nan) for direction in directions} + A2 = {direction: numpy.full((n_q,), numpy.nan) for direction in directions} + optic_cond = {direction: numpy.full((n_q,), numpy.nan) for direction in directions} + seebeck = {direction: numpy.nan for direction in directions} + kappa = {direction: numpy.nan for direction in directions} + + for direction in directions: + for iq in range(n_q): + A0[direction][iq] = transport_coefficient(Gamma_w, omega, Om_mesh, SP, direction, iq=iq, n=0, beta=beta, method=method) + A1[direction][iq] = transport_coefficient(Gamma_w, omega, Om_mesh, SP, direction, iq=iq, n=1, beta=beta, method=method) + A2[direction][iq] = transport_coefficient(Gamma_w, omega, Om_mesh, SP, direction, iq=iq, n=2, beta=beta, method=method) + print("A_0 in direction %s for Omega = %.2f %e a.u." % (direction, Om_mesh[iq], A0[direction][iq])) + print("A_1 in direction %s for Omega = %.2f %e a.u." % (direction, Om_mesh[iq], A1[direction][iq])) + print("A_2 in direction %s for Omega = %.2f %e a.u." % (direction, Om_mesh[iq], A2[direction][iq])) + if ~numpy.isnan(A1[direction][iq]): + # Seebeck and kappa are overwritten if there is more than one Omega = + # 0 in Om_mesh + seebeck[direction] = - A1[direction][iq] / A0[direction][iq] * 86.17 + kappa[direction] = A2[direction][iq] - A1[direction][iq]*A1[direction][iq]/A0[direction][iq] + kappa[direction] *= 293178.0 + + # factor for optical conductivity: hbar * velocity_Hartree_to_SI * volume_Hartree_to_SI * m_to_cm * 10^-4 final unit + convert_to_SI = cst.hbar * (cst.c * cst.fine_structure) **2 * (1/cst.physical_constants['Bohr radius'][0]) **3 * 1e-6 + optic_cond[direction] = beta * convert_to_SI * A0[direction] + for iq in range(n_q): + print("Conductivity in direction %s for Omega = %.2f %f x 10^4 Ohm^-1 cm^-1" % (direction, Om_mesh[iq], optic_cond[direction][iq])) + if not (numpy.isnan(A1[direction][iq])): + print("Seebeck in direction %s for Omega = 0.00 %f x 10^(-6) V/K" % (direction, seebeck[direction])) + print("kappa in direction %s for Omega = 0.00 %f W/(m * K)" % (direction, kappa[direction])) + + return optic_cond, seebeck, kappa + diff --git a/test/python/CMakeLists.txt b/test/python/CMakeLists.txt index a863c33a..9c8f0ab5 100644 --- a/test/python/CMakeLists.txt +++ b/test/python/CMakeLists.txt @@ -5,7 +5,7 @@ foreach(file ${all_h5_ref_files}) endforeach() # Copy other files -FILE(COPY SrVO3.pmat SrVO3.struct SrVO3.outputs SrVO3.oubwin SrVO3.ctqmcout SrVO3.symqmc SrVO3.sympar SrVO3.parproj hk_convert_hamiltonian.hk w90_convert DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) +FILE(COPY SrVO3.pmat SrVO3.struct SrVO3.outputs SrVO3.oubwin SrVO3.ctqmcout SrVO3.symqmc SrVO3.sympar SrVO3.parproj 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1.939944 6.443649 + a_2 1.939944 -1.939944 6.443649 + a_3 1.939944 1.939944 -6.443649 + + Unit Cell Volume: 96.99967 (Ang^3) + + Reciprocal-Space Vectors (Ang^-1) + b_1 0.000000 1.619424 0.487549 + b_2 1.619424 0.000000 0.487549 + b_3 1.619424 1.619424 -0.000000 + + *----------------------------------------------------------------------------* + | Site Fractional Coordinate Cartesian Coordinate (Ang) | + +----------------------------------------------------------------------------+ + | O 1 0.50000 0.00000 0.50000 | 0.00000 1.93994 0.00000 | + | O 2 0.00000 0.50000 0.50000 | 1.93994 0.00000 0.00000 | + | O 3 0.16252 0.16252 -0.00000 | 0.00000 0.00000 2.09442 | + | O 4 0.83748 0.83748 1.00000 | 1.93994 1.93994 4.34922 | + | Ru 1 -0.00000 -0.00000 0.00000 | -0.00000 -0.00000 -0.00000 | + | Sr 1 0.64768 0.64768 1.00000 | 1.93994 1.93994 1.90314 | + | Sr 2 0.35232 0.35232 -0.00000 | -0.00000 -0.00000 4.54051 | + *----------------------------------------------------------------------------* + ----------- + PROJECTIONS + ----------- + + +----------------------------------------------------------------------------+ + | Frac. Coord. l mr r z-axis x-axis Z/a | + +----------------------------------------------------------------------------+ + | -0.00 -0.00 0.00 2 2 1 0.000 0.000 1.000 1.000 0.000 0.000 1.0 | + | -0.00 -0.00 0.00 2 3 1 0.000 0.000 1.000 1.000 0.000 0.000 1.0 | + | -0.00 -0.00 0.00 2 5 1 0.000 0.000 1.000 1.000 0.000 0.000 1.0 | + +----------------------------------------------------------------------------+ + + ------------ + K-POINT GRID + ------------ + + Grid size = 12 x 12 x 12 Total points = 1728 + + *----------------------------------------------------------------------------* + | k-point Fractional Coordinate Cartesian Coordinate (Ang^-1) | + +----------------------------------------------------------------------------+ + | 1 0.00000 0.00000 0.00000 | 0.00000 0.00000 0.00000 | + | 2 0.00000 0.00000 0.08333 | 0.13495 0.13495 -0.00000 | + | 3 0.00000 0.00000 0.16667 | 0.26990 0.26990 -0.00000 | + | 4 0.00000 0.00000 0.25000 | 0.40486 0.40486 -0.00000 | + | 5 0.00000 0.00000 0.33333 | 0.53981 0.53981 -0.00000 | + | 6 0.00000 0.00000 0.41667 | 0.67476 0.67476 -0.00000 | + | 7 0.00000 0.00000 0.50000 | 0.80971 0.80971 -0.00000 | + | 8 0.00000 0.00000 0.58333 | 0.94466 0.94466 -0.00000 | + | 9 0.00000 0.00000 0.66667 | 1.07962 1.07962 -0.00000 | + | 10 0.00000 0.00000 0.75000 | 1.21457 1.21457 -0.00000 | + | 11 0.00000 0.00000 0.83333 | 1.34952 1.34952 -0.00000 | + | 12 0.00000 0.00000 0.91667 | 1.48447 1.48447 -0.00000 | + | 13 0.00000 0.08333 0.00000 | 0.13495 0.00000 0.04063 | + | 14 0.00000 0.08333 0.08333 | 0.26990 0.13495 0.04063 | + | 15 0.00000 0.08333 0.16667 | 0.40486 0.26990 0.04063 | + | 16 0.00000 0.08333 0.25000 | 0.53981 0.40486 0.04063 | + | 17 0.00000 0.08333 0.33333 | 0.67476 0.53981 0.04063 | + | 18 0.00000 0.08333 0.41667 | 0.80971 0.67476 0.04063 | + | 19 0.00000 0.08333 0.50000 | 0.94466 0.80971 0.04063 | + | 20 0.00000 0.08333 0.58333 | 1.07962 0.94466 0.04063 | + | 21 0.00000 0.08333 0.66667 | 1.21457 1.07962 0.04063 | + | 22 0.00000 0.08333 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1.48447 0.32503 | + | 240 0.08333 0.58333 0.91667 | 2.42914 1.61942 0.32503 | + | 241 0.08333 0.66667 0.00000 | 1.07962 0.13495 0.36566 | + | 242 0.08333 0.66667 0.08333 | 1.21457 0.26990 0.36566 | + | 243 0.08333 0.66667 0.16667 | 1.34952 0.40486 0.36566 | + | 244 0.08333 0.66667 0.25000 | 1.48447 0.53981 0.36566 | + | 245 0.08333 0.66667 0.33333 | 1.61942 0.67476 0.36566 | + | 246 0.08333 0.66667 0.41667 | 1.75438 0.80971 0.36566 | + | 247 0.08333 0.66667 0.50000 | 1.88933 0.94466 0.36566 | + | 248 0.08333 0.66667 0.58333 | 2.02428 1.07962 0.36566 | + | 249 0.08333 0.66667 0.66667 | 2.15923 1.21457 0.36566 | + | 250 0.08333 0.66667 0.75000 | 2.29418 1.34952 0.36566 | + | 251 0.08333 0.66667 0.83333 | 2.42914 1.48447 0.36566 | + | 252 0.08333 0.66667 0.91667 | 2.56409 1.61942 0.36566 | + | 253 0.08333 0.75000 0.00000 | 1.21457 0.13495 0.40629 | + | 254 0.08333 0.75000 0.08333 | 1.34952 0.26990 0.40629 | + | 255 0.08333 0.75000 0.16667 | 1.48447 0.40486 0.40629 | + | 256 0.08333 0.75000 0.25000 | 1.61942 0.53981 0.40629 | + | 257 0.08333 0.75000 0.33333 | 1.75438 0.67476 0.40629 | + | 258 0.08333 0.75000 0.41667 | 1.88933 0.80971 0.40629 | + | 259 0.08333 0.75000 0.50000 | 2.02428 0.94466 0.40629 | + | 260 0.08333 0.75000 0.58333 | 2.15923 1.07962 0.40629 | + | 261 0.08333 0.75000 0.66667 | 2.29418 1.21457 0.40629 | + | 262 0.08333 0.75000 0.75000 | 2.42914 1.34952 0.40629 | + | 263 0.08333 0.75000 0.83333 | 2.56409 1.48447 0.40629 | + | 264 0.08333 0.75000 0.91667 | 2.69904 1.61942 0.40629 | + | 265 0.08333 0.83333 0.00000 | 1.34952 0.13495 0.44692 | + | 266 0.08333 0.83333 0.08333 | 1.48447 0.26990 0.44692 | + | 267 0.08333 0.83333 0.16667 | 1.61942 0.40486 0.44692 | + | 268 0.08333 0.83333 0.25000 | 1.75438 0.53981 0.44692 | + | 269 0.08333 0.83333 0.33333 | 1.88933 0.67476 0.44692 | + | 270 0.08333 0.83333 0.41667 | 2.02428 0.80971 0.44692 | + | 271 0.08333 0.83333 0.50000 | 2.15923 0.94466 0.44692 | + | 272 0.08333 0.83333 0.58333 | 2.29418 1.07962 0.44692 | + | 273 0.08333 0.83333 0.66667 | 2.42914 1.21457 0.44692 | + | 274 0.08333 0.83333 0.75000 | 2.56409 1.34952 0.44692 | + | 275 0.08333 0.83333 0.83333 | 2.69904 1.48447 0.44692 | + | 276 0.08333 0.83333 0.91667 | 2.83399 1.61942 0.44692 | + | 277 0.08333 0.91667 0.00000 | 1.48447 0.13495 0.48755 | + | 278 0.08333 0.91667 0.08333 | 1.61942 0.26990 0.48755 | + | 279 0.08333 0.91667 0.16667 | 1.75438 0.40486 0.48755 | + | 280 0.08333 0.91667 0.25000 | 1.88933 0.53981 0.48755 | + | 281 0.08333 0.91667 0.33333 | 2.02428 0.67476 0.48755 | + | 282 0.08333 0.91667 0.41667 | 2.15923 0.80971 0.48755 | + | 283 0.08333 0.91667 0.50000 | 2.29418 0.94466 0.48755 | + | 284 0.08333 0.91667 0.58333 | 2.42914 1.07962 0.48755 | + | 285 0.08333 0.91667 0.66667 | 2.56409 1.21457 0.48755 | + | 286 0.08333 0.91667 0.75000 | 2.69904 1.34952 0.48755 | + | 287 0.08333 0.91667 0.83333 | 2.83399 1.48447 0.48755 | + | 288 0.08333 0.91667 0.91667 | 2.96894 1.61942 0.48755 | + | 289 0.16667 0.00000 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306 0.16667 0.08333 0.41667 | 0.80971 0.94466 0.12189 | + | 307 0.16667 0.08333 0.50000 | 0.94466 1.07962 0.12189 | + | 308 0.16667 0.08333 0.58333 | 1.07962 1.21457 0.12189 | + | 309 0.16667 0.08333 0.66667 | 1.21457 1.34952 0.12189 | + | 310 0.16667 0.08333 0.75000 | 1.34952 1.48447 0.12189 | + | 311 0.16667 0.08333 0.83333 | 1.48447 1.61942 0.12189 | + | 312 0.16667 0.08333 0.91667 | 1.61942 1.75438 0.12189 | + | 313 0.16667 0.16667 0.00000 | 0.26990 0.26990 0.16252 | + | 314 0.16667 0.16667 0.08333 | 0.40486 0.40486 0.16252 | + | 315 0.16667 0.16667 0.16667 | 0.53981 0.53981 0.16252 | + | 316 0.16667 0.16667 0.25000 | 0.67476 0.67476 0.16252 | + | 317 0.16667 0.16667 0.33333 | 0.80971 0.80971 0.16252 | + | 318 0.16667 0.16667 0.41667 | 0.94466 0.94466 0.16252 | + | 319 0.16667 0.16667 0.50000 | 1.07962 1.07962 0.16252 | + | 320 0.16667 0.16667 0.58333 | 1.21457 1.21457 0.16252 | + | 321 0.16667 0.16667 0.66667 | 1.34952 1.34952 0.16252 | + | 322 0.16667 0.16667 0.75000 | 1.48447 1.48447 0.16252 | + | 323 0.16667 0.16667 0.83333 | 1.61942 1.61942 0.16252 | + | 324 0.16667 0.16667 0.91667 | 1.75438 1.75438 0.16252 | + | 325 0.16667 0.25000 0.00000 | 0.40486 0.26990 0.20315 | + | 326 0.16667 0.25000 0.08333 | 0.53981 0.40486 0.20315 | + | 327 0.16667 0.25000 0.16667 | 0.67476 0.53981 0.20315 | + | 328 0.16667 0.25000 0.25000 | 0.80971 0.67476 0.20315 | + | 329 0.16667 0.25000 0.33333 | 0.94466 0.80971 0.20315 | + | 330 0.16667 0.25000 0.41667 | 1.07962 0.94466 0.20315 | + | 331 0.16667 0.25000 0.50000 | 1.21457 1.07962 0.20315 | + | 332 0.16667 0.25000 0.58333 | 1.34952 1.21457 0.20315 | + | 333 0.16667 0.25000 0.66667 | 1.48447 1.34952 0.20315 | + | 334 0.16667 0.25000 0.75000 | 1.61942 1.48447 0.20315 | + | 335 0.16667 0.25000 0.83333 | 1.75438 1.61942 0.20315 | + | 336 0.16667 0.25000 0.91667 | 1.88933 1.75438 0.20315 | + | 337 0.16667 0.33333 0.00000 | 0.53981 0.26990 0.24377 | + | 338 0.16667 0.33333 0.08333 | 0.67476 0.40486 0.24377 | + | 339 0.16667 0.33333 0.16667 | 0.80971 0.53981 0.24377 | + | 340 0.16667 0.33333 0.25000 | 0.94466 0.67476 0.24377 | + | 341 0.16667 0.33333 0.33333 | 1.07962 0.80971 0.24377 | + | 342 0.16667 0.33333 0.41667 | 1.21457 0.94466 0.24377 | + | 343 0.16667 0.33333 0.50000 | 1.34952 1.07962 0.24377 | + | 344 0.16667 0.33333 0.58333 | 1.48447 1.21457 0.24377 | + | 345 0.16667 0.33333 0.66667 | 1.61942 1.34952 0.24377 | + | 346 0.16667 0.33333 0.75000 | 1.75438 1.48447 0.24377 | + | 347 0.16667 0.33333 0.83333 | 1.88933 1.61942 0.24377 | + | 348 0.16667 0.33333 0.91667 | 2.02428 1.75438 0.24377 | + | 349 0.16667 0.41667 0.00000 | 0.67476 0.26990 0.28440 | + | 350 0.16667 0.41667 0.08333 | 0.80971 0.40486 0.28440 | + | 351 0.16667 0.41667 0.16667 | 0.94466 0.53981 0.28440 | + | 352 0.16667 0.41667 0.25000 | 1.07962 0.67476 0.28440 | + | 353 0.16667 0.41667 0.33333 | 1.21457 0.80971 0.28440 | + | 354 0.16667 0.41667 0.41667 | 1.34952 0.94466 0.28440 | + | 355 0.16667 0.41667 0.50000 | 1.48447 1.07962 0.28440 | + | 356 0.16667 0.41667 0.58333 | 1.61942 1.21457 0.28440 | + | 357 0.16667 0.41667 0.66667 | 1.75438 1.34952 0.28440 | + | 358 0.16667 0.41667 0.75000 | 1.88933 1.48447 0.28440 | + | 359 0.16667 0.41667 0.83333 | 2.02428 1.61942 0.28440 | + | 360 0.16667 0.41667 0.91667 | 2.15923 1.75438 0.28440 | + | 361 0.16667 0.50000 0.00000 | 0.80971 0.26990 0.32503 | + | 362 0.16667 0.50000 0.08333 | 0.94466 0.40486 0.32503 | + | 363 0.16667 0.50000 0.16667 | 1.07962 0.53981 0.32503 | + | 364 0.16667 0.50000 0.25000 | 1.21457 0.67476 0.32503 | + | 365 0.16667 0.50000 0.33333 | 1.34952 0.80971 0.32503 | + | 366 0.16667 0.50000 0.41667 | 1.48447 0.94466 0.32503 | + | 367 0.16667 0.50000 0.50000 | 1.61942 1.07962 0.32503 | + | 368 0.16667 0.50000 0.58333 | 1.75438 1.21457 0.32503 | + | 369 0.16667 0.50000 0.66667 | 1.88933 1.34952 0.32503 | + | 370 0.16667 0.50000 0.75000 | 2.02428 1.48447 0.32503 | + | 371 0.16667 0.50000 0.83333 | 2.15923 1.61942 0.32503 | + | 372 0.16667 0.50000 0.91667 | 2.29418 1.75438 0.32503 | + | 373 0.16667 0.58333 0.00000 | 0.94466 0.26990 0.36566 | + | 374 0.16667 0.58333 0.08333 | 1.07962 0.40486 0.36566 | + | 375 0.16667 0.58333 0.16667 | 1.21457 0.53981 0.36566 | + | 376 0.16667 0.58333 0.25000 | 1.34952 0.67476 0.36566 | + | 377 0.16667 0.58333 0.33333 | 1.48447 0.80971 0.36566 | + | 378 0.16667 0.58333 0.41667 | 1.61942 0.94466 0.36566 | + | 379 0.16667 0.58333 0.50000 | 1.75438 1.07962 0.36566 | + | 380 0.16667 0.58333 0.58333 | 1.88933 1.21457 0.36566 | + | 381 0.16667 0.58333 0.66667 | 2.02428 1.34952 0.36566 | + | 382 0.16667 0.58333 0.75000 | 2.15923 1.48447 0.36566 | + | 383 0.16667 0.58333 0.83333 | 2.29418 1.61942 0.36566 | + | 384 0.16667 0.58333 0.91667 | 2.42914 1.75438 0.36566 | + | 385 0.16667 0.66667 0.00000 | 1.07962 0.26990 0.40629 | + | 386 0.16667 0.66667 0.08333 | 1.21457 0.40486 0.40629 | + | 387 0.16667 0.66667 0.16667 | 1.34952 0.53981 0.40629 | + | 388 0.16667 0.66667 0.25000 | 1.48447 0.67476 0.40629 | + | 389 0.16667 0.66667 0.33333 | 1.61942 0.80971 0.40629 | + | 390 0.16667 0.66667 0.41667 | 1.75438 0.94466 0.40629 | + | 391 0.16667 0.66667 0.50000 | 1.88933 1.07962 0.40629 | + | 392 0.16667 0.66667 0.58333 | 2.02428 1.21457 0.40629 | + | 393 0.16667 0.66667 0.66667 | 2.15923 1.34952 0.40629 | + | 394 0.16667 0.66667 0.75000 | 2.29418 1.48447 0.40629 | + | 395 0.16667 0.66667 0.83333 | 2.42914 1.61942 0.40629 | + | 396 0.16667 0.66667 0.91667 | 2.56409 1.75438 0.40629 | + | 397 0.16667 0.75000 0.00000 | 1.21457 0.26990 0.44692 | + | 398 0.16667 0.75000 0.08333 | 1.34952 0.40486 0.44692 | + | 399 0.16667 0.75000 0.16667 | 1.48447 0.53981 0.44692 | + | 400 0.16667 0.75000 0.25000 | 1.61942 0.67476 0.44692 | + | 401 0.16667 0.75000 0.33333 | 1.75438 0.80971 0.44692 | + | 402 0.16667 0.75000 0.41667 | 1.88933 0.94466 0.44692 | + | 403 0.16667 0.75000 0.50000 | 2.02428 1.07962 0.44692 | + | 404 0.16667 0.75000 0.58333 | 2.15923 1.21457 0.44692 | + | 405 0.16667 0.75000 0.66667 | 2.29418 1.34952 0.44692 | + | 406 0.16667 0.75000 0.75000 | 2.42914 1.48447 0.44692 | + | 407 0.16667 0.75000 0.83333 | 2.56409 1.61942 0.44692 | + | 408 0.16667 0.75000 0.91667 | 2.69904 1.75438 0.44692 | + | 409 0.16667 0.83333 0.00000 | 1.34952 0.26990 0.48755 | + | 410 0.16667 0.83333 0.08333 | 1.48447 0.40486 0.48755 | + | 411 0.16667 0.83333 0.16667 | 1.61942 0.53981 0.48755 | + | 412 0.16667 0.83333 0.25000 | 1.75438 0.67476 0.48755 | + | 413 0.16667 0.83333 0.33333 | 1.88933 0.80971 0.48755 | + | 414 0.16667 0.83333 0.41667 | 2.02428 0.94466 0.48755 | + | 415 0.16667 0.83333 0.50000 | 2.15923 1.07962 0.48755 | + | 416 0.16667 0.83333 0.58333 | 2.29418 1.21457 0.48755 | + | 417 0.16667 0.83333 0.66667 | 2.42914 1.34952 0.48755 | + | 418 0.16667 0.83333 0.75000 | 2.56409 1.48447 0.48755 | + | 419 0.16667 0.83333 0.83333 | 2.69904 1.61942 0.48755 | + | 420 0.16667 0.83333 0.91667 | 2.83399 1.75438 0.48755 | + | 421 0.16667 0.91667 0.00000 | 1.48447 0.26990 0.52818 | + | 422 0.16667 0.91667 0.08333 | 1.61942 0.40486 0.52818 | + | 423 0.16667 0.91667 0.16667 | 1.75438 0.53981 0.52818 | + | 424 0.16667 0.91667 0.25000 | 1.88933 0.67476 0.52818 | + | 425 0.16667 0.91667 0.33333 | 2.02428 0.80971 0.52818 | + | 426 0.16667 0.91667 0.41667 | 2.15923 0.94466 0.52818 | + | 427 0.16667 0.91667 0.50000 | 2.29418 1.07962 0.52818 | + | 428 0.16667 0.91667 0.58333 | 2.42914 1.21457 0.52818 | + | 429 0.16667 0.91667 0.66667 | 2.56409 1.34952 0.52818 | + | 430 0.16667 0.91667 0.75000 | 2.69904 1.48447 0.52818 | + | 431 0.16667 0.91667 0.83333 | 2.83399 1.61942 0.52818 | + | 432 0.16667 0.91667 0.91667 | 2.96894 1.75438 0.52818 | + | 433 0.25000 0.00000 0.00000 | 0.00000 0.40486 0.12189 | + | 434 0.25000 0.00000 0.08333 | 0.13495 0.53981 0.12189 | + | 435 0.25000 0.00000 0.16667 | 0.26990 0.67476 0.12189 | + | 436 0.25000 0.00000 0.25000 | 0.40486 0.80971 0.12189 | + | 437 0.25000 0.00000 0.33333 | 0.53981 0.94466 0.12189 | + | 438 0.25000 0.00000 0.41667 | 0.67476 1.07962 0.12189 | + | 439 0.25000 0.00000 0.50000 | 0.80971 1.21457 0.12189 | + | 440 0.25000 0.00000 0.58333 | 0.94466 1.34952 0.12189 | + | 441 0.25000 0.00000 0.66667 | 1.07962 1.48447 0.12189 | + | 442 0.25000 0.00000 0.75000 | 1.21457 1.61942 0.12189 | + | 443 0.25000 0.00000 0.83333 | 1.34952 1.75438 0.12189 | + | 444 0.25000 0.00000 0.91667 | 1.48447 1.88933 0.12189 | + | 445 0.25000 0.08333 0.00000 | 0.13495 0.40486 0.16252 | + | 446 0.25000 0.08333 0.08333 | 0.26990 0.53981 0.16252 | + | 447 0.25000 0.08333 0.16667 | 0.40486 0.67476 0.16252 | + | 448 0.25000 0.08333 0.25000 | 0.53981 0.80971 0.16252 | + | 449 0.25000 0.08333 0.33333 | 0.67476 0.94466 0.16252 | + | 450 0.25000 0.08333 0.41667 | 0.80971 1.07962 0.16252 | + | 451 0.25000 0.08333 0.50000 | 0.94466 1.21457 0.16252 | + | 452 0.25000 0.08333 0.58333 | 1.07962 1.34952 0.16252 | + | 453 0.25000 0.08333 0.66667 | 1.21457 1.48447 0.16252 | + | 454 0.25000 0.08333 0.75000 | 1.34952 1.61942 0.16252 | + | 455 0.25000 0.08333 0.83333 | 1.48447 1.75438 0.16252 | + | 456 0.25000 0.08333 0.91667 | 1.61942 1.88933 0.16252 | + | 457 0.25000 0.16667 0.00000 | 0.26990 0.40486 0.20315 | + | 458 0.25000 0.16667 0.08333 | 0.40486 0.53981 0.20315 | + | 459 0.25000 0.16667 0.16667 | 0.53981 0.67476 0.20315 | + | 460 0.25000 0.16667 0.25000 | 0.67476 0.80971 0.20315 | + | 461 0.25000 0.16667 0.33333 | 0.80971 0.94466 0.20315 | + | 462 0.25000 0.16667 0.41667 | 0.94466 1.07962 0.20315 | + | 463 0.25000 0.16667 0.50000 | 1.07962 1.21457 0.20315 | + | 464 0.25000 0.16667 0.58333 | 1.21457 1.34952 0.20315 | + | 465 0.25000 0.16667 0.66667 | 1.34952 1.48447 0.20315 | + | 466 0.25000 0.16667 0.75000 | 1.48447 1.61942 0.20315 | + | 467 0.25000 0.16667 0.83333 | 1.61942 1.75438 0.20315 | + | 468 0.25000 0.16667 0.91667 | 1.75438 1.88933 0.20315 | + | 469 0.25000 0.25000 0.00000 | 0.40486 0.40486 0.24377 | + | 470 0.25000 0.25000 0.08333 | 0.53981 0.53981 0.24377 | + | 471 0.25000 0.25000 0.16667 | 0.67476 0.67476 0.24377 | + | 472 0.25000 0.25000 0.25000 | 0.80971 0.80971 0.24377 | + | 473 0.25000 0.25000 0.33333 | 0.94466 0.94466 0.24377 | + | 474 0.25000 0.25000 0.41667 | 1.07962 1.07962 0.24377 | + | 475 0.25000 0.25000 0.50000 | 1.21457 1.21457 0.24377 | + | 476 0.25000 0.25000 0.58333 | 1.34952 1.34952 0.24377 | + | 477 0.25000 0.25000 0.66667 | 1.48447 1.48447 0.24377 | + | 478 0.25000 0.25000 0.75000 | 1.61942 1.61942 0.24377 | + | 479 0.25000 0.25000 0.83333 | 1.75438 1.75438 0.24377 | + | 480 0.25000 0.25000 0.91667 | 1.88933 1.88933 0.24377 | + | 481 0.25000 0.33333 0.00000 | 0.53981 0.40486 0.28440 | + | 482 0.25000 0.33333 0.08333 | 0.67476 0.53981 0.28440 | + | 483 0.25000 0.33333 0.16667 | 0.80971 0.67476 0.28440 | + | 484 0.25000 0.33333 0.25000 | 0.94466 0.80971 0.28440 | + | 485 0.25000 0.33333 0.33333 | 1.07962 0.94466 0.28440 | + | 486 0.25000 0.33333 0.41667 | 1.21457 1.07962 0.28440 | + | 487 0.25000 0.33333 0.50000 | 1.34952 1.21457 0.28440 | + | 488 0.25000 0.33333 0.58333 | 1.48447 1.34952 0.28440 | + | 489 0.25000 0.33333 0.66667 | 1.61942 1.48447 0.28440 | + | 490 0.25000 0.33333 0.75000 | 1.75438 1.61942 0.28440 | + | 491 0.25000 0.33333 0.83333 | 1.88933 1.75438 0.28440 | + | 492 0.25000 0.33333 0.91667 | 2.02428 1.88933 0.28440 | + | 493 0.25000 0.41667 0.00000 | 0.67476 0.40486 0.32503 | + | 494 0.25000 0.41667 0.08333 | 0.80971 0.53981 0.32503 | + | 495 0.25000 0.41667 0.16667 | 0.94466 0.67476 0.32503 | + | 496 0.25000 0.41667 0.25000 | 1.07962 0.80971 0.32503 | + | 497 0.25000 0.41667 0.33333 | 1.21457 0.94466 0.32503 | + | 498 0.25000 0.41667 0.41667 | 1.34952 1.07962 0.32503 | + | 499 0.25000 0.41667 0.50000 | 1.48447 1.21457 0.32503 | + | 500 0.25000 0.41667 0.58333 | 1.61942 1.34952 0.32503 | + | 501 0.25000 0.41667 0.66667 | 1.75438 1.48447 0.32503 | + | 502 0.25000 0.41667 0.75000 | 1.88933 1.61942 0.32503 | + | 503 0.25000 0.41667 0.83333 | 2.02428 1.75438 0.32503 | + | 504 0.25000 0.41667 0.91667 | 2.15923 1.88933 0.32503 | + | 505 0.25000 0.50000 0.00000 | 0.80971 0.40486 0.36566 | + | 506 0.25000 0.50000 0.08333 | 0.94466 0.53981 0.36566 | + | 507 0.25000 0.50000 0.16667 | 1.07962 0.67476 0.36566 | + | 508 0.25000 0.50000 0.25000 | 1.21457 0.80971 0.36566 | + | 509 0.25000 0.50000 0.33333 | 1.34952 0.94466 0.36566 | + | 510 0.25000 0.50000 0.41667 | 1.48447 1.07962 0.36566 | + | 511 0.25000 0.50000 0.50000 | 1.61942 1.21457 0.36566 | + | 512 0.25000 0.50000 0.58333 | 1.75438 1.34952 0.36566 | + | 513 0.25000 0.50000 0.66667 | 1.88933 1.48447 0.36566 | + | 514 0.25000 0.50000 0.75000 | 2.02428 1.61942 0.36566 | + | 515 0.25000 0.50000 0.83333 | 2.15923 1.75438 0.36566 | + | 516 0.25000 0.50000 0.91667 | 2.29418 1.88933 0.36566 | + | 517 0.25000 0.58333 0.00000 | 0.94466 0.40486 0.40629 | + | 518 0.25000 0.58333 0.08333 | 1.07962 0.53981 0.40629 | + | 519 0.25000 0.58333 0.16667 | 1.21457 0.67476 0.40629 | + | 520 0.25000 0.58333 0.25000 | 1.34952 0.80971 0.40629 | + | 521 0.25000 0.58333 0.33333 | 1.48447 0.94466 0.40629 | + | 522 0.25000 0.58333 0.41667 | 1.61942 1.07962 0.40629 | + | 523 0.25000 0.58333 0.50000 | 1.75438 1.21457 0.40629 | + | 524 0.25000 0.58333 0.58333 | 1.88933 1.34952 0.40629 | + | 525 0.25000 0.58333 0.66667 | 2.02428 1.48447 0.40629 | + | 526 0.25000 0.58333 0.75000 | 2.15923 1.61942 0.40629 | + | 527 0.25000 0.58333 0.83333 | 2.29418 1.75438 0.40629 | + | 528 0.25000 0.58333 0.91667 | 2.42914 1.88933 0.40629 | + | 529 0.25000 0.66667 0.00000 | 1.07962 0.40486 0.44692 | + | 530 0.25000 0.66667 0.08333 | 1.21457 0.53981 0.44692 | + | 531 0.25000 0.66667 0.16667 | 1.34952 0.67476 0.44692 | + | 532 0.25000 0.66667 0.25000 | 1.48447 0.80971 0.44692 | + | 533 0.25000 0.66667 0.33333 | 1.61942 0.94466 0.44692 | + | 534 0.25000 0.66667 0.41667 | 1.75438 1.07962 0.44692 | + | 535 0.25000 0.66667 0.50000 | 1.88933 1.21457 0.44692 | + | 536 0.25000 0.66667 0.58333 | 2.02428 1.34952 0.44692 | + | 537 0.25000 0.66667 0.66667 | 2.15923 1.48447 0.44692 | + | 538 0.25000 0.66667 0.75000 | 2.29418 1.61942 0.44692 | + | 539 0.25000 0.66667 0.83333 | 2.42914 1.75438 0.44692 | + | 540 0.25000 0.66667 0.91667 | 2.56409 1.88933 0.44692 | + | 541 0.25000 0.75000 0.00000 | 1.21457 0.40486 0.48755 | + | 542 0.25000 0.75000 0.08333 | 1.34952 0.53981 0.48755 | + | 543 0.25000 0.75000 0.16667 | 1.48447 0.67476 0.48755 | + | 544 0.25000 0.75000 0.25000 | 1.61942 0.80971 0.48755 | + | 545 0.25000 0.75000 0.33333 | 1.75438 0.94466 0.48755 | + | 546 0.25000 0.75000 0.41667 | 1.88933 1.07962 0.48755 | + | 547 0.25000 0.75000 0.50000 | 2.02428 1.21457 0.48755 | + | 548 0.25000 0.75000 0.58333 | 2.15923 1.34952 0.48755 | + | 549 0.25000 0.75000 0.66667 | 2.29418 1.48447 0.48755 | + | 550 0.25000 0.75000 0.75000 | 2.42914 1.61942 0.48755 | + | 551 0.25000 0.75000 0.83333 | 2.56409 1.75438 0.48755 | + | 552 0.25000 0.75000 0.91667 | 2.69904 1.88933 0.48755 | + | 553 0.25000 0.83333 0.00000 | 1.34952 0.40486 0.52818 | + | 554 0.25000 0.83333 0.08333 | 1.48447 0.53981 0.52818 | + | 555 0.25000 0.83333 0.16667 | 1.61942 0.67476 0.52818 | + | 556 0.25000 0.83333 0.25000 | 1.75438 0.80971 0.52818 | + | 557 0.25000 0.83333 0.33333 | 1.88933 0.94466 0.52818 | + | 558 0.25000 0.83333 0.41667 | 2.02428 1.07962 0.52818 | + | 559 0.25000 0.83333 0.50000 | 2.15923 1.21457 0.52818 | + | 560 0.25000 0.83333 0.58333 | 2.29418 1.34952 0.52818 | + | 561 0.25000 0.83333 0.66667 | 2.42914 1.48447 0.52818 | + | 562 0.25000 0.83333 0.75000 | 2.56409 1.61942 0.52818 | + | 563 0.25000 0.83333 0.83333 | 2.69904 1.75438 0.52818 | + | 564 0.25000 0.83333 0.91667 | 2.83399 1.88933 0.52818 | + | 565 0.25000 0.91667 0.00000 | 1.48447 0.40486 0.56881 | + | 566 0.25000 0.91667 0.08333 | 1.61942 0.53981 0.56881 | + | 567 0.25000 0.91667 0.16667 | 1.75438 0.67476 0.56881 | + | 568 0.25000 0.91667 0.25000 | 1.88933 0.80971 0.56881 | + | 569 0.25000 0.91667 0.33333 | 2.02428 0.94466 0.56881 | + | 570 0.25000 0.91667 0.41667 | 2.15923 1.07962 0.56881 | + | 571 0.25000 0.91667 0.50000 | 2.29418 1.21457 0.56881 | + | 572 0.25000 0.91667 0.58333 | 2.42914 1.34952 0.56881 | + | 573 0.25000 0.91667 0.66667 | 2.56409 1.48447 0.56881 | + | 574 0.25000 0.91667 0.75000 | 2.69904 1.61942 0.56881 | + | 575 0.25000 0.91667 0.83333 | 2.83399 1.75438 0.56881 | + | 576 0.25000 0.91667 0.91667 | 2.96894 1.88933 0.56881 | + | 577 0.33333 0.00000 0.00000 | 0.00000 0.53981 0.16252 | + | 578 0.33333 0.00000 0.08333 | 0.13495 0.67476 0.16252 | + | 579 0.33333 0.00000 0.16667 | 0.26990 0.80971 0.16252 | + | 580 0.33333 0.00000 0.25000 | 0.40486 0.94466 0.16252 | + | 581 0.33333 0.00000 0.33333 | 0.53981 1.07962 0.16252 | + | 582 0.33333 0.00000 0.41667 | 0.67476 1.21457 0.16252 | + | 583 0.33333 0.00000 0.50000 | 0.80971 1.34952 0.16252 | + | 584 0.33333 0.00000 0.58333 | 0.94466 1.48447 0.16252 | + | 585 0.33333 0.00000 0.66667 | 1.07962 1.61942 0.16252 | + | 586 0.33333 0.00000 0.75000 | 1.21457 1.75438 0.16252 | + | 587 0.33333 0.00000 0.83333 | 1.34952 1.88933 0.16252 | + | 588 0.33333 0.00000 0.91667 | 1.48447 2.02428 0.16252 | + | 589 0.33333 0.08333 0.00000 | 0.13495 0.53981 0.20315 | + | 590 0.33333 0.08333 0.08333 | 0.26990 0.67476 0.20315 | + | 591 0.33333 0.08333 0.16667 | 0.40486 0.80971 0.20315 | + | 592 0.33333 0.08333 0.25000 | 0.53981 0.94466 0.20315 | + | 593 0.33333 0.08333 0.33333 | 0.67476 1.07962 0.20315 | + | 594 0.33333 0.08333 0.41667 | 0.80971 1.21457 0.20315 | + | 595 0.33333 0.08333 0.50000 | 0.94466 1.34952 0.20315 | + | 596 0.33333 0.08333 0.58333 | 1.07962 1.48447 0.20315 | + | 597 0.33333 0.08333 0.66667 | 1.21457 1.61942 0.20315 | + | 598 0.33333 0.08333 0.75000 | 1.34952 1.75438 0.20315 | + | 599 0.33333 0.08333 0.83333 | 1.48447 1.88933 0.20315 | + | 600 0.33333 0.08333 0.91667 | 1.61942 2.02428 0.20315 | + | 601 0.33333 0.16667 0.00000 | 0.26990 0.53981 0.24377 | + | 602 0.33333 0.16667 0.08333 | 0.40486 0.67476 0.24377 | + | 603 0.33333 0.16667 0.16667 | 0.53981 0.80971 0.24377 | + | 604 0.33333 0.16667 0.25000 | 0.67476 0.94466 0.24377 | + | 605 0.33333 0.16667 0.33333 | 0.80971 1.07962 0.24377 | + | 606 0.33333 0.16667 0.41667 | 0.94466 1.21457 0.24377 | + | 607 0.33333 0.16667 0.50000 | 1.07962 1.34952 0.24377 | + | 608 0.33333 0.16667 0.58333 | 1.21457 1.48447 0.24377 | + | 609 0.33333 0.16667 0.66667 | 1.34952 1.61942 0.24377 | + | 610 0.33333 0.16667 0.75000 | 1.48447 1.75438 0.24377 | + | 611 0.33333 0.16667 0.83333 | 1.61942 1.88933 0.24377 | + | 612 0.33333 0.16667 0.91667 | 1.75438 2.02428 0.24377 | + | 613 0.33333 0.25000 0.00000 | 0.40486 0.53981 0.28440 | + | 614 0.33333 0.25000 0.08333 | 0.53981 0.67476 0.28440 | + | 615 0.33333 0.25000 0.16667 | 0.67476 0.80971 0.28440 | + | 616 0.33333 0.25000 0.25000 | 0.80971 0.94466 0.28440 | + | 617 0.33333 0.25000 0.33333 | 0.94466 1.07962 0.28440 | + | 618 0.33333 0.25000 0.41667 | 1.07962 1.21457 0.28440 | + | 619 0.33333 0.25000 0.50000 | 1.21457 1.34952 0.28440 | + | 620 0.33333 0.25000 0.58333 | 1.34952 1.48447 0.28440 | + | 621 0.33333 0.25000 0.66667 | 1.48447 1.61942 0.28440 | + | 622 0.33333 0.25000 0.75000 | 1.61942 1.75438 0.28440 | + | 623 0.33333 0.25000 0.83333 | 1.75438 1.88933 0.28440 | + | 624 0.33333 0.25000 0.91667 | 1.88933 2.02428 0.28440 | + | 625 0.33333 0.33333 0.00000 | 0.53981 0.53981 0.32503 | + | 626 0.33333 0.33333 0.08333 | 0.67476 0.67476 0.32503 | + | 627 0.33333 0.33333 0.16667 | 0.80971 0.80971 0.32503 | + | 628 0.33333 0.33333 0.25000 | 0.94466 0.94466 0.32503 | + | 629 0.33333 0.33333 0.33333 | 1.07962 1.07962 0.32503 | + | 630 0.33333 0.33333 0.41667 | 1.21457 1.21457 0.32503 | + | 631 0.33333 0.33333 0.50000 | 1.34952 1.34952 0.32503 | + | 632 0.33333 0.33333 0.58333 | 1.48447 1.48447 0.32503 | + | 633 0.33333 0.33333 0.66667 | 1.61942 1.61942 0.32503 | + | 634 0.33333 0.33333 0.75000 | 1.75438 1.75438 0.32503 | + | 635 0.33333 0.33333 0.83333 | 1.88933 1.88933 0.32503 | + | 636 0.33333 0.33333 0.91667 | 2.02428 2.02428 0.32503 | + | 637 0.33333 0.41667 0.00000 | 0.67476 0.53981 0.36566 | + | 638 0.33333 0.41667 0.08333 | 0.80971 0.67476 0.36566 | + | 639 0.33333 0.41667 0.16667 | 0.94466 0.80971 0.36566 | + | 640 0.33333 0.41667 0.25000 | 1.07962 0.94466 0.36566 | + | 641 0.33333 0.41667 0.33333 | 1.21457 1.07962 0.36566 | + | 642 0.33333 0.41667 0.41667 | 1.34952 1.21457 0.36566 | + | 643 0.33333 0.41667 0.50000 | 1.48447 1.34952 0.36566 | + | 644 0.33333 0.41667 0.58333 | 1.61942 1.48447 0.36566 | + | 645 0.33333 0.41667 0.66667 | 1.75438 1.61942 0.36566 | + | 646 0.33333 0.41667 0.75000 | 1.88933 1.75438 0.36566 | + | 647 0.33333 0.41667 0.83333 | 2.02428 1.88933 0.36566 | + | 648 0.33333 0.41667 0.91667 | 2.15923 2.02428 0.36566 | + | 649 0.33333 0.50000 0.00000 | 0.80971 0.53981 0.40629 | + | 650 0.33333 0.50000 0.08333 | 0.94466 0.67476 0.40629 | + | 651 0.33333 0.50000 0.16667 | 1.07962 0.80971 0.40629 | + | 652 0.33333 0.50000 0.25000 | 1.21457 0.94466 0.40629 | + | 653 0.33333 0.50000 0.33333 | 1.34952 1.07962 0.40629 | + | 654 0.33333 0.50000 0.41667 | 1.48447 1.21457 0.40629 | + | 655 0.33333 0.50000 0.50000 | 1.61942 1.34952 0.40629 | + | 656 0.33333 0.50000 0.58333 | 1.75438 1.48447 0.40629 | + | 657 0.33333 0.50000 0.66667 | 1.88933 1.61942 0.40629 | + | 658 0.33333 0.50000 0.75000 | 2.02428 1.75438 0.40629 | + | 659 0.33333 0.50000 0.83333 | 2.15923 1.88933 0.40629 | + | 660 0.33333 0.50000 0.91667 | 2.29418 2.02428 0.40629 | + | 661 0.33333 0.58333 0.00000 | 0.94466 0.53981 0.44692 | + | 662 0.33333 0.58333 0.08333 | 1.07962 0.67476 0.44692 | + | 663 0.33333 0.58333 0.16667 | 1.21457 0.80971 0.44692 | + | 664 0.33333 0.58333 0.25000 | 1.34952 0.94466 0.44692 | + | 665 0.33333 0.58333 0.33333 | 1.48447 1.07962 0.44692 | + | 666 0.33333 0.58333 0.41667 | 1.61942 1.21457 0.44692 | + | 667 0.33333 0.58333 0.50000 | 1.75438 1.34952 0.44692 | + | 668 0.33333 0.58333 0.58333 | 1.88933 1.48447 0.44692 | + | 669 0.33333 0.58333 0.66667 | 2.02428 1.61942 0.44692 | + | 670 0.33333 0.58333 0.75000 | 2.15923 1.75438 0.44692 | + | 671 0.33333 0.58333 0.83333 | 2.29418 1.88933 0.44692 | + | 672 0.33333 0.58333 0.91667 | 2.42914 2.02428 0.44692 | + | 673 0.33333 0.66667 0.00000 | 1.07962 0.53981 0.48755 | + | 674 0.33333 0.66667 0.08333 | 1.21457 0.67476 0.48755 | + | 675 0.33333 0.66667 0.16667 | 1.34952 0.80971 0.48755 | + | 676 0.33333 0.66667 0.25000 | 1.48447 0.94466 0.48755 | + | 677 0.33333 0.66667 0.33333 | 1.61942 1.07962 0.48755 | + | 678 0.33333 0.66667 0.41667 | 1.75438 1.21457 0.48755 | + | 679 0.33333 0.66667 0.50000 | 1.88933 1.34952 0.48755 | + | 680 0.33333 0.66667 0.58333 | 2.02428 1.48447 0.48755 | + | 681 0.33333 0.66667 0.66667 | 2.15923 1.61942 0.48755 | + | 682 0.33333 0.66667 0.75000 | 2.29418 1.75438 0.48755 | + | 683 0.33333 0.66667 0.83333 | 2.42914 1.88933 0.48755 | + | 684 0.33333 0.66667 0.91667 | 2.56409 2.02428 0.48755 | + | 685 0.33333 0.75000 0.00000 | 1.21457 0.53981 0.52818 | + | 686 0.33333 0.75000 0.08333 | 1.34952 0.67476 0.52818 | + | 687 0.33333 0.75000 0.16667 | 1.48447 0.80971 0.52818 | + | 688 0.33333 0.75000 0.25000 | 1.61942 0.94466 0.52818 | + | 689 0.33333 0.75000 0.33333 | 1.75438 1.07962 0.52818 | + | 690 0.33333 0.75000 0.41667 | 1.88933 1.21457 0.52818 | + | 691 0.33333 0.75000 0.50000 | 2.02428 1.34952 0.52818 | + | 692 0.33333 0.75000 0.58333 | 2.15923 1.48447 0.52818 | + | 693 0.33333 0.75000 0.66667 | 2.29418 1.61942 0.52818 | + | 694 0.33333 0.75000 0.75000 | 2.42914 1.75438 0.52818 | + | 695 0.33333 0.75000 0.83333 | 2.56409 1.88933 0.52818 | + | 696 0.33333 0.75000 0.91667 | 2.69904 2.02428 0.52818 | + | 697 0.33333 0.83333 0.00000 | 1.34952 0.53981 0.56881 | + | 698 0.33333 0.83333 0.08333 | 1.48447 0.67476 0.56881 | + | 699 0.33333 0.83333 0.16667 | 1.61942 0.80971 0.56881 | + | 700 0.33333 0.83333 0.25000 | 1.75438 0.94466 0.56881 | + | 701 0.33333 0.83333 0.33333 | 1.88933 1.07962 0.56881 | + | 702 0.33333 0.83333 0.41667 | 2.02428 1.21457 0.56881 | + | 703 0.33333 0.83333 0.50000 | 2.15923 1.34952 0.56881 | + | 704 0.33333 0.83333 0.58333 | 2.29418 1.48447 0.56881 | + | 705 0.33333 0.83333 0.66667 | 2.42914 1.61942 0.56881 | + | 706 0.33333 0.83333 0.75000 | 2.56409 1.75438 0.56881 | + | 707 0.33333 0.83333 0.83333 | 2.69904 1.88933 0.56881 | + | 708 0.33333 0.83333 0.91667 | 2.83399 2.02428 0.56881 | + | 709 0.33333 0.91667 0.00000 | 1.48447 0.53981 0.60944 | + | 710 0.33333 0.91667 0.08333 | 1.61942 0.67476 0.60944 | + | 711 0.33333 0.91667 0.16667 | 1.75438 0.80971 0.60944 | + | 712 0.33333 0.91667 0.25000 | 1.88933 0.94466 0.60944 | + | 713 0.33333 0.91667 0.33333 | 2.02428 1.07962 0.60944 | + | 714 0.33333 0.91667 0.41667 | 2.15923 1.21457 0.60944 | + | 715 0.33333 0.91667 0.50000 | 2.29418 1.34952 0.60944 | + | 716 0.33333 0.91667 0.58333 | 2.42914 1.48447 0.60944 | + | 717 0.33333 0.91667 0.66667 | 2.56409 1.61942 0.60944 | + | 718 0.33333 0.91667 0.75000 | 2.69904 1.75438 0.60944 | + | 719 0.33333 0.91667 0.83333 | 2.83399 1.88933 0.60944 | + | 720 0.33333 0.91667 0.91667 | 2.96894 2.02428 0.60944 | + | 721 0.41667 0.00000 0.00000 | 0.00000 0.67476 0.20315 | + | 722 0.41667 0.00000 0.08333 | 0.13495 0.80971 0.20315 | + | 723 0.41667 0.00000 0.16667 | 0.26990 0.94466 0.20315 | + | 724 0.41667 0.00000 0.25000 | 0.40486 1.07962 0.20315 | + | 725 0.41667 0.00000 0.33333 | 0.53981 1.21457 0.20315 | + | 726 0.41667 0.00000 0.41667 | 0.67476 1.34952 0.20315 | + | 727 0.41667 0.00000 0.50000 | 0.80971 1.48447 0.20315 | + | 728 0.41667 0.00000 0.58333 | 0.94466 1.61942 0.20315 | + | 729 0.41667 0.00000 0.66667 | 1.07962 1.75438 0.20315 | + | 730 0.41667 0.00000 0.75000 | 1.21457 1.88933 0.20315 | + | 731 0.41667 0.00000 0.83333 | 1.34952 2.02428 0.20315 | + | 732 0.41667 0.00000 0.91667 | 1.48447 2.15923 0.20315 | + | 733 0.41667 0.08333 0.00000 | 0.13495 0.67476 0.24377 | + | 734 0.41667 0.08333 0.08333 | 0.26990 0.80971 0.24377 | + | 735 0.41667 0.08333 0.16667 | 0.40486 0.94466 0.24377 | + | 736 0.41667 0.08333 0.25000 | 0.53981 1.07962 0.24377 | + | 737 0.41667 0.08333 0.33333 | 0.67476 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0.16667 0.75000 | 1.48447 1.88933 0.28440 | + | 755 0.41667 0.16667 0.83333 | 1.61942 2.02428 0.28440 | + | 756 0.41667 0.16667 0.91667 | 1.75438 2.15923 0.28440 | + | 757 0.41667 0.25000 0.00000 | 0.40486 0.67476 0.32503 | + | 758 0.41667 0.25000 0.08333 | 0.53981 0.80971 0.32503 | + | 759 0.41667 0.25000 0.16667 | 0.67476 0.94466 0.32503 | + | 760 0.41667 0.25000 0.25000 | 0.80971 1.07962 0.32503 | + | 761 0.41667 0.25000 0.33333 | 0.94466 1.21457 0.32503 | + | 762 0.41667 0.25000 0.41667 | 1.07962 1.34952 0.32503 | + | 763 0.41667 0.25000 0.50000 | 1.21457 1.48447 0.32503 | + | 764 0.41667 0.25000 0.58333 | 1.34952 1.61942 0.32503 | + | 765 0.41667 0.25000 0.66667 | 1.48447 1.75438 0.32503 | + | 766 0.41667 0.25000 0.75000 | 1.61942 1.88933 0.32503 | + | 767 0.41667 0.25000 0.83333 | 1.75438 2.02428 0.32503 | + | 768 0.41667 0.25000 0.91667 | 1.88933 2.15923 0.32503 | + | 769 0.41667 0.33333 0.00000 | 0.53981 0.67476 0.36566 | + | 770 0.41667 0.33333 0.08333 | 0.67476 0.80971 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804 0.41667 0.50000 0.91667 | 2.29418 2.15923 0.44692 | + | 805 0.41667 0.58333 0.00000 | 0.94466 0.67476 0.48755 | + | 806 0.41667 0.58333 0.08333 | 1.07962 0.80971 0.48755 | + | 807 0.41667 0.58333 0.16667 | 1.21457 0.94466 0.48755 | + | 808 0.41667 0.58333 0.25000 | 1.34952 1.07962 0.48755 | + | 809 0.41667 0.58333 0.33333 | 1.48447 1.21457 0.48755 | + | 810 0.41667 0.58333 0.41667 | 1.61942 1.34952 0.48755 | + | 811 0.41667 0.58333 0.50000 | 1.75438 1.48447 0.48755 | + | 812 0.41667 0.58333 0.58333 | 1.88933 1.61942 0.48755 | + | 813 0.41667 0.58333 0.66667 | 2.02428 1.75438 0.48755 | + | 814 0.41667 0.58333 0.75000 | 2.15923 1.88933 0.48755 | + | 815 0.41667 0.58333 0.83333 | 2.29418 2.02428 0.48755 | + | 816 0.41667 0.58333 0.91667 | 2.42914 2.15923 0.48755 | + | 817 0.41667 0.66667 0.00000 | 1.07962 0.67476 0.52818 | + | 818 0.41667 0.66667 0.08333 | 1.21457 0.80971 0.52818 | + | 819 0.41667 0.66667 0.16667 | 1.34952 0.94466 0.52818 | + | 820 0.41667 0.66667 0.25000 | 1.48447 1.07962 0.52818 | + | 821 0.41667 0.66667 0.33333 | 1.61942 1.21457 0.52818 | + | 822 0.41667 0.66667 0.41667 | 1.75438 1.34952 0.52818 | + | 823 0.41667 0.66667 0.50000 | 1.88933 1.48447 0.52818 | + | 824 0.41667 0.66667 0.58333 | 2.02428 1.61942 0.52818 | + | 825 0.41667 0.66667 0.66667 | 2.15923 1.75438 0.52818 | + | 826 0.41667 0.66667 0.75000 | 2.29418 1.88933 0.52818 | + | 827 0.41667 0.66667 0.83333 | 2.42914 2.02428 0.52818 | + | 828 0.41667 0.66667 0.91667 | 2.56409 2.15923 0.52818 | + | 829 0.41667 0.75000 0.00000 | 1.21457 0.67476 0.56881 | + | 830 0.41667 0.75000 0.08333 | 1.34952 0.80971 0.56881 | + | 831 0.41667 0.75000 0.16667 | 1.48447 0.94466 0.56881 | + | 832 0.41667 0.75000 0.25000 | 1.61942 1.07962 0.56881 | + | 833 0.41667 0.75000 0.33333 | 1.75438 1.21457 0.56881 | + | 834 0.41667 0.75000 0.41667 | 1.88933 1.34952 0.56881 | + | 835 0.41667 0.75000 0.50000 | 2.02428 1.48447 0.56881 | + | 836 0.41667 0.75000 0.58333 | 2.15923 1.61942 0.56881 | + | 837 0.41667 0.75000 0.66667 | 2.29418 1.75438 0.56881 | + | 838 0.41667 0.75000 0.75000 | 2.42914 1.88933 0.56881 | + | 839 0.41667 0.75000 0.83333 | 2.56409 2.02428 0.56881 | + | 840 0.41667 0.75000 0.91667 | 2.69904 2.15923 0.56881 | + | 841 0.41667 0.83333 0.00000 | 1.34952 0.67476 0.60944 | + | 842 0.41667 0.83333 0.08333 | 1.48447 0.80971 0.60944 | + | 843 0.41667 0.83333 0.16667 | 1.61942 0.94466 0.60944 | + | 844 0.41667 0.83333 0.25000 | 1.75438 1.07962 0.60944 | + | 845 0.41667 0.83333 0.33333 | 1.88933 1.21457 0.60944 | + | 846 0.41667 0.83333 0.41667 | 2.02428 1.34952 0.60944 | + | 847 0.41667 0.83333 0.50000 | 2.15923 1.48447 0.60944 | + | 848 0.41667 0.83333 0.58333 | 2.29418 1.61942 0.60944 | + | 849 0.41667 0.83333 0.66667 | 2.42914 1.75438 0.60944 | + | 850 0.41667 0.83333 0.75000 | 2.56409 1.88933 0.60944 | + | 851 0.41667 0.83333 0.83333 | 2.69904 2.02428 0.60944 | + | 852 0.41667 0.83333 0.91667 | 2.83399 2.15923 0.60944 | + | 853 0.41667 0.91667 0.00000 | 1.48447 0.67476 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0.41667 | 0.67476 1.48447 0.24377 | + | 871 0.50000 0.00000 0.50000 | 0.80971 1.61942 0.24377 | + | 872 0.50000 0.00000 0.58333 | 0.94466 1.75438 0.24377 | + | 873 0.50000 0.00000 0.66667 | 1.07962 1.88933 0.24377 | + | 874 0.50000 0.00000 0.75000 | 1.21457 2.02428 0.24377 | + | 875 0.50000 0.00000 0.83333 | 1.34952 2.15923 0.24377 | + | 876 0.50000 0.00000 0.91667 | 1.48447 2.29418 0.24377 | + | 877 0.50000 0.08333 0.00000 | 0.13495 0.80971 0.28440 | + | 878 0.50000 0.08333 0.08333 | 0.26990 0.94466 0.28440 | + | 879 0.50000 0.08333 0.16667 | 0.40486 1.07962 0.28440 | + | 880 0.50000 0.08333 0.25000 | 0.53981 1.21457 0.28440 | + | 881 0.50000 0.08333 0.33333 | 0.67476 1.34952 0.28440 | + | 882 0.50000 0.08333 0.41667 | 0.80971 1.48447 0.28440 | + | 883 0.50000 0.08333 0.50000 | 0.94466 1.61942 0.28440 | + | 884 0.50000 0.08333 0.58333 | 1.07962 1.75438 0.28440 | + | 885 0.50000 0.08333 0.66667 | 1.21457 1.88933 0.28440 | + | 886 0.50000 0.08333 0.75000 | 1.34952 2.02428 0.28440 | + | 887 0.50000 0.08333 0.83333 | 1.48447 2.15923 0.28440 | + | 888 0.50000 0.08333 0.91667 | 1.61942 2.29418 0.28440 | + | 889 0.50000 0.16667 0.00000 | 0.26990 0.80971 0.32503 | + | 890 0.50000 0.16667 0.08333 | 0.40486 0.94466 0.32503 | + | 891 0.50000 0.16667 0.16667 | 0.53981 1.07962 0.32503 | + | 892 0.50000 0.16667 0.25000 | 0.67476 1.21457 0.32503 | + | 893 0.50000 0.16667 0.33333 | 0.80971 1.34952 0.32503 | + | 894 0.50000 0.16667 0.41667 | 0.94466 1.48447 0.32503 | + | 895 0.50000 0.16667 0.50000 | 1.07962 1.61942 0.32503 | + | 896 0.50000 0.16667 0.58333 | 1.21457 1.75438 0.32503 | + | 897 0.50000 0.16667 0.66667 | 1.34952 1.88933 0.32503 | + | 898 0.50000 0.16667 0.75000 | 1.48447 2.02428 0.32503 | + | 899 0.50000 0.16667 0.83333 | 1.61942 2.15923 0.32503 | + | 900 0.50000 0.16667 0.91667 | 1.75438 2.29418 0.32503 | + | 901 0.50000 0.25000 0.00000 | 0.40486 0.80971 0.36566 | + | 902 0.50000 0.25000 0.08333 | 0.53981 0.94466 0.36566 | + | 903 0.50000 0.25000 0.16667 | 0.67476 1.07962 0.36566 | + | 904 0.50000 0.25000 0.25000 | 0.80971 1.21457 0.36566 | + | 905 0.50000 0.25000 0.33333 | 0.94466 1.34952 0.36566 | + | 906 0.50000 0.25000 0.41667 | 1.07962 1.48447 0.36566 | + | 907 0.50000 0.25000 0.50000 | 1.21457 1.61942 0.36566 | + | 908 0.50000 0.25000 0.58333 | 1.34952 1.75438 0.36566 | + | 909 0.50000 0.25000 0.66667 | 1.48447 1.88933 0.36566 | + | 910 0.50000 0.25000 0.75000 | 1.61942 2.02428 0.36566 | + | 911 0.50000 0.25000 0.83333 | 1.75438 2.15923 0.36566 | + | 912 0.50000 0.25000 0.91667 | 1.88933 2.29418 0.36566 | + | 913 0.50000 0.33333 0.00000 | 0.53981 0.80971 0.40629 | + | 914 0.50000 0.33333 0.08333 | 0.67476 0.94466 0.40629 | + | 915 0.50000 0.33333 0.16667 | 0.80971 1.07962 0.40629 | + | 916 0.50000 0.33333 0.25000 | 0.94466 1.21457 0.40629 | + | 917 0.50000 0.33333 0.33333 | 1.07962 1.34952 0.40629 | + | 918 0.50000 0.33333 0.41667 | 1.21457 1.48447 0.40629 | + | 919 0.50000 0.33333 0.50000 | 1.34952 1.61942 0.40629 | + | 920 0.50000 0.33333 0.58333 | 1.48447 1.75438 0.40629 | + | 921 0.50000 0.33333 0.66667 | 1.61942 1.88933 0.40629 | + | 922 0.50000 0.33333 0.75000 | 1.75438 2.02428 0.40629 | + | 923 0.50000 0.33333 0.83333 | 1.88933 2.15923 0.40629 | + | 924 0.50000 0.33333 0.91667 | 2.02428 2.29418 0.40629 | + | 925 0.50000 0.41667 0.00000 | 0.67476 0.80971 0.44692 | + | 926 0.50000 0.41667 0.08333 | 0.80971 0.94466 0.44692 | + | 927 0.50000 0.41667 0.16667 | 0.94466 1.07962 0.44692 | + | 928 0.50000 0.41667 0.25000 | 1.07962 1.21457 0.44692 | + | 929 0.50000 0.41667 0.33333 | 1.21457 1.34952 0.44692 | + | 930 0.50000 0.41667 0.41667 | 1.34952 1.48447 0.44692 | + | 931 0.50000 0.41667 0.50000 | 1.48447 1.61942 0.44692 | + | 932 0.50000 0.41667 0.58333 | 1.61942 1.75438 0.44692 | + | 933 0.50000 0.41667 0.66667 | 1.75438 1.88933 0.44692 | + | 934 0.50000 0.41667 0.75000 | 1.88933 2.02428 0.44692 | + | 935 0.50000 0.41667 0.83333 | 2.02428 2.15923 0.44692 | + | 936 0.50000 0.41667 0.91667 | 2.15923 2.29418 0.44692 | + | 937 0.50000 0.50000 0.00000 | 0.80971 0.80971 0.48755 | + | 938 0.50000 0.50000 0.08333 | 0.94466 0.94466 0.48755 | + | 939 0.50000 0.50000 0.16667 | 1.07962 1.07962 0.48755 | + | 940 0.50000 0.50000 0.25000 | 1.21457 1.21457 0.48755 | + | 941 0.50000 0.50000 0.33333 | 1.34952 1.34952 0.48755 | + | 942 0.50000 0.50000 0.41667 | 1.48447 1.48447 0.48755 | + | 943 0.50000 0.50000 0.50000 | 1.61942 1.61942 0.48755 | + | 944 0.50000 0.50000 0.58333 | 1.75438 1.75438 0.48755 | + | 945 0.50000 0.50000 0.66667 | 1.88933 1.88933 0.48755 | + | 946 0.50000 0.50000 0.75000 | 2.02428 2.02428 0.48755 | + | 947 0.50000 0.50000 0.83333 | 2.15923 2.15923 0.48755 | + | 948 0.50000 0.50000 0.91667 | 2.29418 2.29418 0.48755 | + | 949 0.50000 0.58333 0.00000 | 0.94466 0.80971 0.52818 | + | 950 0.50000 0.58333 0.08333 | 1.07962 0.94466 0.52818 | + | 951 0.50000 0.58333 0.16667 | 1.21457 1.07962 0.52818 | + | 952 0.50000 0.58333 0.25000 | 1.34952 1.21457 0.52818 | + | 953 0.50000 0.58333 0.33333 | 1.48447 1.34952 0.52818 | + | 954 0.50000 0.58333 0.41667 | 1.61942 1.48447 0.52818 | + | 955 0.50000 0.58333 0.50000 | 1.75438 1.61942 0.52818 | + | 956 0.50000 0.58333 0.58333 | 1.88933 1.75438 0.52818 | + | 957 0.50000 0.58333 0.66667 | 2.02428 1.88933 0.52818 | + | 958 0.50000 0.58333 0.75000 | 2.15923 2.02428 0.52818 | + | 959 0.50000 0.58333 0.83333 | 2.29418 2.15923 0.52818 | + | 960 0.50000 0.58333 0.91667 | 2.42914 2.29418 0.52818 | + | 961 0.50000 0.66667 0.00000 | 1.07962 0.80971 0.56881 | + | 962 0.50000 0.66667 0.08333 | 1.21457 0.94466 0.56881 | + | 963 0.50000 0.66667 0.16667 | 1.34952 1.07962 0.56881 | + | 964 0.50000 0.66667 0.25000 | 1.48447 1.21457 0.56881 | + | 965 0.50000 0.66667 0.33333 | 1.61942 1.34952 0.56881 | + | 966 0.50000 0.66667 0.41667 | 1.75438 1.48447 0.56881 | + | 967 0.50000 0.66667 0.50000 | 1.88933 1.61942 0.56881 | + | 968 0.50000 0.66667 0.58333 | 2.02428 1.75438 0.56881 | + | 969 0.50000 0.66667 0.66667 | 2.15923 1.88933 0.56881 | + | 970 0.50000 0.66667 0.75000 | 2.29418 2.02428 0.56881 | + | 971 0.50000 0.66667 0.83333 | 2.42914 2.15923 0.56881 | + | 972 0.50000 0.66667 0.91667 | 2.56409 2.29418 0.56881 | + | 973 0.50000 0.75000 0.00000 | 1.21457 0.80971 0.60944 | + | 974 0.50000 0.75000 0.08333 | 1.34952 0.94466 0.60944 | + | 975 0.50000 0.75000 0.16667 | 1.48447 1.07962 0.60944 | + | 976 0.50000 0.75000 0.25000 | 1.61942 1.21457 0.60944 | + | 977 0.50000 0.75000 0.33333 | 1.75438 1.34952 0.60944 | + | 978 0.50000 0.75000 0.41667 | 1.88933 1.48447 0.60944 | + | 979 0.50000 0.75000 0.50000 | 2.02428 1.61942 0.60944 | + | 980 0.50000 0.75000 0.58333 | 2.15923 1.75438 0.60944 | + | 981 0.50000 0.75000 0.66667 | 2.29418 1.88933 0.60944 | + | 982 0.50000 0.75000 0.75000 | 2.42914 2.02428 0.60944 | + | 983 0.50000 0.75000 0.83333 | 2.56409 2.15923 0.60944 | + | 984 0.50000 0.75000 0.91667 | 2.69904 2.29418 0.60944 | + | 985 0.50000 0.83333 0.00000 | 1.34952 0.80971 0.65006 | + | 986 0.50000 0.83333 0.08333 | 1.48447 0.94466 0.65006 | + | 987 0.50000 0.83333 0.16667 | 1.61942 1.07962 0.65006 | + | 988 0.50000 0.83333 0.25000 | 1.75438 1.21457 0.65006 | + | 989 0.50000 0.83333 0.33333 | 1.88933 1.34952 0.65006 | + | 990 0.50000 0.83333 0.41667 | 2.02428 1.48447 0.65006 | + | 991 0.50000 0.83333 0.50000 | 2.15923 1.61942 0.65006 | + | 992 0.50000 0.83333 0.58333 | 2.29418 1.75438 0.65006 | + | 993 0.50000 0.83333 0.66667 | 2.42914 1.88933 0.65006 | + | 994 0.50000 0.83333 0.75000 | 2.56409 2.02428 0.65006 | + | 995 0.50000 0.83333 0.83333 | 2.69904 2.15923 0.65006 | + | 996 0.50000 0.83333 0.91667 | 2.83399 2.29418 0.65006 | + | 997 0.50000 0.91667 0.00000 | 1.48447 0.80971 0.69069 | + | 998 0.50000 0.91667 0.08333 | 1.61942 0.94466 0.69069 | + | 999 0.50000 0.91667 0.16667 | 1.75438 1.07962 0.69069 | + | 1000 0.50000 0.91667 0.25000 | 1.88933 1.21457 0.69069 | + | 1001 0.50000 0.91667 0.33333 | 2.02428 1.34952 0.69069 | + | 1002 0.50000 0.91667 0.41667 | 2.15923 1.48447 0.69069 | + | 1003 0.50000 0.91667 0.50000 | 2.29418 1.61942 0.69069 | + | 1004 0.50000 0.91667 0.58333 | 2.42914 1.75438 0.69069 | + | 1005 0.50000 0.91667 0.66667 | 2.56409 1.88933 0.69069 | + | 1006 0.50000 0.91667 0.75000 | 2.69904 2.02428 0.69069 | + | 1007 0.50000 0.91667 0.83333 | 2.83399 2.15923 0.69069 | + | 1008 0.50000 0.91667 0.91667 | 2.96894 2.29418 0.69069 | + | 1009 0.58333 0.00000 0.00000 | 0.00000 0.94466 0.28440 | + | 1010 0.58333 0.00000 0.08333 | 0.13495 1.07962 0.28440 | + | 1011 0.58333 0.00000 0.16667 | 0.26990 1.21457 0.28440 | + | 1012 0.58333 0.00000 0.25000 | 0.40486 1.34952 0.28440 | + | 1013 0.58333 0.00000 0.33333 | 0.53981 1.48447 0.28440 | + | 1014 0.58333 0.00000 0.41667 | 0.67476 1.61942 0.28440 | + | 1015 0.58333 0.00000 0.50000 | 0.80971 1.75438 0.28440 | + | 1016 0.58333 0.00000 0.58333 | 0.94466 1.88933 0.28440 | + | 1017 0.58333 0.00000 0.66667 | 1.07962 2.02428 0.28440 | + | 1018 0.58333 0.00000 0.75000 | 1.21457 2.15923 0.28440 | + | 1019 0.58333 0.00000 0.83333 | 1.34952 2.29418 0.28440 | + | 1020 0.58333 0.00000 0.91667 | 1.48447 2.42914 0.28440 | + | 1021 0.58333 0.08333 0.00000 | 0.13495 0.94466 0.32503 | + | 1022 0.58333 0.08333 0.08333 | 0.26990 1.07962 0.32503 | + | 1023 0.58333 0.08333 0.16667 | 0.40486 1.21457 0.32503 | + | 1024 0.58333 0.08333 0.25000 | 0.53981 1.34952 0.32503 | + | 1025 0.58333 0.08333 0.33333 | 0.67476 1.48447 0.32503 | + | 1026 0.58333 0.08333 0.41667 | 0.80971 1.61942 0.32503 | + | 1027 0.58333 0.08333 0.50000 | 0.94466 1.75438 0.32503 | + | 1028 0.58333 0.08333 0.58333 | 1.07962 1.88933 0.32503 | + | 1029 0.58333 0.08333 0.66667 | 1.21457 2.02428 0.32503 | + | 1030 0.58333 0.08333 0.75000 | 1.34952 2.15923 0.32503 | + | 1031 0.58333 0.08333 0.83333 | 1.48447 2.29418 0.32503 | + | 1032 0.58333 0.08333 0.91667 | 1.61942 2.42914 0.32503 | + | 1033 0.58333 0.16667 0.00000 | 0.26990 0.94466 0.36566 | + | 1034 0.58333 0.16667 0.08333 | 0.40486 1.07962 0.36566 | + | 1035 0.58333 0.16667 0.16667 | 0.53981 1.21457 0.36566 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0.25000 0.58333 | 1.34952 1.88933 0.40629 | + | 1053 0.58333 0.25000 0.66667 | 1.48447 2.02428 0.40629 | + | 1054 0.58333 0.25000 0.75000 | 1.61942 2.15923 0.40629 | + | 1055 0.58333 0.25000 0.83333 | 1.75438 2.29418 0.40629 | + | 1056 0.58333 0.25000 0.91667 | 1.88933 2.42914 0.40629 | + | 1057 0.58333 0.33333 0.00000 | 0.53981 0.94466 0.44692 | + | 1058 0.58333 0.33333 0.08333 | 0.67476 1.07962 0.44692 | + | 1059 0.58333 0.33333 0.16667 | 0.80971 1.21457 0.44692 | + | 1060 0.58333 0.33333 0.25000 | 0.94466 1.34952 0.44692 | + | 1061 0.58333 0.33333 0.33333 | 1.07962 1.48447 0.44692 | + | 1062 0.58333 0.33333 0.41667 | 1.21457 1.61942 0.44692 | + | 1063 0.58333 0.33333 0.50000 | 1.34952 1.75438 0.44692 | + | 1064 0.58333 0.33333 0.58333 | 1.48447 1.88933 0.44692 | + | 1065 0.58333 0.33333 0.66667 | 1.61942 2.02428 0.44692 | + | 1066 0.58333 0.33333 0.75000 | 1.75438 2.15923 0.44692 | + | 1067 0.58333 0.33333 0.83333 | 1.88933 2.29418 0.44692 | + | 1068 0.58333 0.33333 0.91667 | 2.02428 2.42914 0.44692 | + | 1069 0.58333 0.41667 0.00000 | 0.67476 0.94466 0.48755 | + | 1070 0.58333 0.41667 0.08333 | 0.80971 1.07962 0.48755 | + | 1071 0.58333 0.41667 0.16667 | 0.94466 1.21457 0.48755 | + | 1072 0.58333 0.41667 0.25000 | 1.07962 1.34952 0.48755 | + | 1073 0.58333 0.41667 0.33333 | 1.21457 1.48447 0.48755 | + | 1074 0.58333 0.41667 0.41667 | 1.34952 1.61942 0.48755 | + | 1075 0.58333 0.41667 0.50000 | 1.48447 1.75438 0.48755 | + | 1076 0.58333 0.41667 0.58333 | 1.61942 1.88933 0.48755 | + | 1077 0.58333 0.41667 0.66667 | 1.75438 2.02428 0.48755 | + | 1078 0.58333 0.41667 0.75000 | 1.88933 2.15923 0.48755 | + | 1079 0.58333 0.41667 0.83333 | 2.02428 2.29418 0.48755 | + | 1080 0.58333 0.41667 0.91667 | 2.15923 2.42914 0.48755 | + | 1081 0.58333 0.50000 0.00000 | 0.80971 0.94466 0.52818 | + | 1082 0.58333 0.50000 0.08333 | 0.94466 1.07962 0.52818 | + | 1083 0.58333 0.50000 0.16667 | 1.07962 1.21457 0.52818 | + | 1084 0.58333 0.50000 0.25000 | 1.21457 1.34952 0.52818 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0.58333 0.66667 | 2.02428 2.02428 0.56881 | + | 1102 0.58333 0.58333 0.75000 | 2.15923 2.15923 0.56881 | + | 1103 0.58333 0.58333 0.83333 | 2.29418 2.29418 0.56881 | + | 1104 0.58333 0.58333 0.91667 | 2.42914 2.42914 0.56881 | + | 1105 0.58333 0.66667 0.00000 | 1.07962 0.94466 0.60944 | + | 1106 0.58333 0.66667 0.08333 | 1.21457 1.07962 0.60944 | + | 1107 0.58333 0.66667 0.16667 | 1.34952 1.21457 0.60944 | + | 1108 0.58333 0.66667 0.25000 | 1.48447 1.34952 0.60944 | + | 1109 0.58333 0.66667 0.33333 | 1.61942 1.48447 0.60944 | + | 1110 0.58333 0.66667 0.41667 | 1.75438 1.61942 0.60944 | + | 1111 0.58333 0.66667 0.50000 | 1.88933 1.75438 0.60944 | + | 1112 0.58333 0.66667 0.58333 | 2.02428 1.88933 0.60944 | + | 1113 0.58333 0.66667 0.66667 | 2.15923 2.02428 0.60944 | + | 1114 0.58333 0.66667 0.75000 | 2.29418 2.15923 0.60944 | + | 1115 0.58333 0.66667 0.83333 | 2.42914 2.29418 0.60944 | + | 1116 0.58333 0.66667 0.91667 | 2.56409 2.42914 0.60944 | + | 1117 0.58333 0.75000 0.00000 | 1.21457 0.94466 0.65006 | + | 1118 0.58333 0.75000 0.08333 | 1.34952 1.07962 0.65006 | + | 1119 0.58333 0.75000 0.16667 | 1.48447 1.21457 0.65006 | + | 1120 0.58333 0.75000 0.25000 | 1.61942 1.34952 0.65006 | + | 1121 0.58333 0.75000 0.33333 | 1.75438 1.48447 0.65006 | + | 1122 0.58333 0.75000 0.41667 | 1.88933 1.61942 0.65006 | + | 1123 0.58333 0.75000 0.50000 | 2.02428 1.75438 0.65006 | + | 1124 0.58333 0.75000 0.58333 | 2.15923 1.88933 0.65006 | + | 1125 0.58333 0.75000 0.66667 | 2.29418 2.02428 0.65006 | + | 1126 0.58333 0.75000 0.75000 | 2.42914 2.15923 0.65006 | + | 1127 0.58333 0.75000 0.83333 | 2.56409 2.29418 0.65006 | + | 1128 0.58333 0.75000 0.91667 | 2.69904 2.42914 0.65006 | + | 1129 0.58333 0.83333 0.00000 | 1.34952 0.94466 0.69069 | + | 1130 0.58333 0.83333 0.08333 | 1.48447 1.07962 0.69069 | + | 1131 0.58333 0.83333 0.16667 | 1.61942 1.21457 0.69069 | + | 1132 0.58333 0.83333 0.25000 | 1.75438 1.34952 0.69069 | + | 1133 0.58333 0.83333 0.33333 | 1.88933 1.48447 0.69069 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0.91667 0.75000 | 2.69904 2.15923 0.73132 | + | 1151 0.58333 0.91667 0.83333 | 2.83399 2.29418 0.73132 | + | 1152 0.58333 0.91667 0.91667 | 2.96894 2.42914 0.73132 | + | 1153 0.66667 0.00000 0.00000 | 0.00000 1.07962 0.32503 | + | 1154 0.66667 0.00000 0.08333 | 0.13495 1.21457 0.32503 | + | 1155 0.66667 0.00000 0.16667 | 0.26990 1.34952 0.32503 | + | 1156 0.66667 0.00000 0.25000 | 0.40486 1.48447 0.32503 | + | 1157 0.66667 0.00000 0.33333 | 0.53981 1.61942 0.32503 | + | 1158 0.66667 0.00000 0.41667 | 0.67476 1.75438 0.32503 | + | 1159 0.66667 0.00000 0.50000 | 0.80971 1.88933 0.32503 | + | 1160 0.66667 0.00000 0.58333 | 0.94466 2.02428 0.32503 | + | 1161 0.66667 0.00000 0.66667 | 1.07962 2.15923 0.32503 | + | 1162 0.66667 0.00000 0.75000 | 1.21457 2.29418 0.32503 | + | 1163 0.66667 0.00000 0.83333 | 1.34952 2.42914 0.32503 | + | 1164 0.66667 0.00000 0.91667 | 1.48447 2.56409 0.32503 | + | 1165 0.66667 0.08333 0.00000 | 0.13495 1.07962 0.36566 | + | 1166 0.66667 0.08333 0.08333 | 0.26990 1.21457 0.36566 | + | 1167 0.66667 0.08333 0.16667 | 0.40486 1.34952 0.36566 | + | 1168 0.66667 0.08333 0.25000 | 0.53981 1.48447 0.36566 | + | 1169 0.66667 0.08333 0.33333 | 0.67476 1.61942 0.36566 | + | 1170 0.66667 0.08333 0.41667 | 0.80971 1.75438 0.36566 | + | 1171 0.66667 0.08333 0.50000 | 0.94466 1.88933 0.36566 | + | 1172 0.66667 0.08333 0.58333 | 1.07962 2.02428 0.36566 | + | 1173 0.66667 0.08333 0.66667 | 1.21457 2.15923 0.36566 | + | 1174 0.66667 0.08333 0.75000 | 1.34952 2.29418 0.36566 | + | 1175 0.66667 0.08333 0.83333 | 1.48447 2.42914 0.36566 | + | 1176 0.66667 0.08333 0.91667 | 1.61942 2.56409 0.36566 | + | 1177 0.66667 0.16667 0.00000 | 0.26990 1.07962 0.40629 | + | 1178 0.66667 0.16667 0.08333 | 0.40486 1.21457 0.40629 | + | 1179 0.66667 0.16667 0.16667 | 0.53981 1.34952 0.40629 | + | 1180 0.66667 0.16667 0.25000 | 0.67476 1.48447 0.40629 | + | 1181 0.66667 0.16667 0.33333 | 0.80971 1.61942 0.40629 | + | 1182 0.66667 0.16667 0.41667 | 0.94466 1.75438 0.40629 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0.25000 0.83333 | 1.75438 2.42914 0.44692 | + | 1200 0.66667 0.25000 0.91667 | 1.88933 2.56409 0.44692 | + | 1201 0.66667 0.33333 0.00000 | 0.53981 1.07962 0.48755 | + | 1202 0.66667 0.33333 0.08333 | 0.67476 1.21457 0.48755 | + | 1203 0.66667 0.33333 0.16667 | 0.80971 1.34952 0.48755 | + | 1204 0.66667 0.33333 0.25000 | 0.94466 1.48447 0.48755 | + | 1205 0.66667 0.33333 0.33333 | 1.07962 1.61942 0.48755 | + | 1206 0.66667 0.33333 0.41667 | 1.21457 1.75438 0.48755 | + | 1207 0.66667 0.33333 0.50000 | 1.34952 1.88933 0.48755 | + | 1208 0.66667 0.33333 0.58333 | 1.48447 2.02428 0.48755 | + | 1209 0.66667 0.33333 0.66667 | 1.61942 2.15923 0.48755 | + | 1210 0.66667 0.33333 0.75000 | 1.75438 2.29418 0.48755 | + | 1211 0.66667 0.33333 0.83333 | 1.88933 2.42914 0.48755 | + | 1212 0.66667 0.33333 0.91667 | 2.02428 2.56409 0.48755 | + | 1213 0.66667 0.41667 0.00000 | 0.67476 1.07962 0.52818 | + | 1214 0.66667 0.41667 0.08333 | 0.80971 1.21457 0.52818 | + | 1215 0.66667 0.41667 0.16667 | 0.94466 1.34952 0.52818 | + | 1216 0.66667 0.41667 0.25000 | 1.07962 1.48447 0.52818 | + | 1217 0.66667 0.41667 0.33333 | 1.21457 1.61942 0.52818 | + | 1218 0.66667 0.41667 0.41667 | 1.34952 1.75438 0.52818 | + | 1219 0.66667 0.41667 0.50000 | 1.48447 1.88933 0.52818 | + | 1220 0.66667 0.41667 0.58333 | 1.61942 2.02428 0.52818 | + | 1221 0.66667 0.41667 0.66667 | 1.75438 2.15923 0.52818 | + | 1222 0.66667 0.41667 0.75000 | 1.88933 2.29418 0.52818 | + | 1223 0.66667 0.41667 0.83333 | 2.02428 2.42914 0.52818 | + | 1224 0.66667 0.41667 0.91667 | 2.15923 2.56409 0.52818 | + | 1225 0.66667 0.50000 0.00000 | 0.80971 1.07962 0.56881 | + | 1226 0.66667 0.50000 0.08333 | 0.94466 1.21457 0.56881 | + | 1227 0.66667 0.50000 0.16667 | 1.07962 1.34952 0.56881 | + | 1228 0.66667 0.50000 0.25000 | 1.21457 1.48447 0.56881 | + | 1229 0.66667 0.50000 0.33333 | 1.34952 1.61942 0.56881 | + | 1230 0.66667 0.50000 0.41667 | 1.48447 1.75438 0.56881 | + | 1231 0.66667 0.50000 0.50000 | 1.61942 1.88933 0.56881 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0.58333 0.91667 | 2.42914 2.56409 0.60944 | + | 1249 0.66667 0.66667 0.00000 | 1.07962 1.07962 0.65006 | + | 1250 0.66667 0.66667 0.08333 | 1.21457 1.21457 0.65006 | + | 1251 0.66667 0.66667 0.16667 | 1.34952 1.34952 0.65006 | + | 1252 0.66667 0.66667 0.25000 | 1.48447 1.48447 0.65006 | + | 1253 0.66667 0.66667 0.33333 | 1.61942 1.61942 0.65006 | + | 1254 0.66667 0.66667 0.41667 | 1.75438 1.75438 0.65006 | + | 1255 0.66667 0.66667 0.50000 | 1.88933 1.88933 0.65006 | + | 1256 0.66667 0.66667 0.58333 | 2.02428 2.02428 0.65006 | + | 1257 0.66667 0.66667 0.66667 | 2.15923 2.15923 0.65006 | + | 1258 0.66667 0.66667 0.75000 | 2.29418 2.29418 0.65006 | + | 1259 0.66667 0.66667 0.83333 | 2.42914 2.42914 0.65006 | + | 1260 0.66667 0.66667 0.91667 | 2.56409 2.56409 0.65006 | + | 1261 0.66667 0.75000 0.00000 | 1.21457 1.07962 0.69069 | + | 1262 0.66667 0.75000 0.08333 | 1.34952 1.21457 0.69069 | + | 1263 0.66667 0.75000 0.16667 | 1.48447 1.34952 0.69069 | + | 1264 0.66667 0.75000 0.25000 | 1.61942 1.48447 0.69069 | + | 1265 0.66667 0.75000 0.33333 | 1.75438 1.61942 0.69069 | + | 1266 0.66667 0.75000 0.41667 | 1.88933 1.75438 0.69069 | + | 1267 0.66667 0.75000 0.50000 | 2.02428 1.88933 0.69069 | + | 1268 0.66667 0.75000 0.58333 | 2.15923 2.02428 0.69069 | + | 1269 0.66667 0.75000 0.66667 | 2.29418 2.15923 0.69069 | + | 1270 0.66667 0.75000 0.75000 | 2.42914 2.29418 0.69069 | + | 1271 0.66667 0.75000 0.83333 | 2.56409 2.42914 0.69069 | + | 1272 0.66667 0.75000 0.91667 | 2.69904 2.56409 0.69069 | + | 1273 0.66667 0.83333 0.00000 | 1.34952 1.07962 0.73132 | + | 1274 0.66667 0.83333 0.08333 | 1.48447 1.21457 0.73132 | + | 1275 0.66667 0.83333 0.16667 | 1.61942 1.34952 0.73132 | + | 1276 0.66667 0.83333 0.25000 | 1.75438 1.48447 0.73132 | + | 1277 0.66667 0.83333 0.33333 | 1.88933 1.61942 0.73132 | + | 1278 0.66667 0.83333 0.41667 | 2.02428 1.75438 0.73132 | + | 1279 0.66667 0.83333 0.50000 | 2.15923 1.88933 0.73132 | + | 1280 0.66667 0.83333 0.58333 | 2.29418 2.02428 0.73132 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0.00000 0.00000 | 0.00000 1.21457 0.36566 | + | 1298 0.75000 0.00000 0.08333 | 0.13495 1.34952 0.36566 | + | 1299 0.75000 0.00000 0.16667 | 0.26990 1.48447 0.36566 | + | 1300 0.75000 0.00000 0.25000 | 0.40486 1.61942 0.36566 | + | 1301 0.75000 0.00000 0.33333 | 0.53981 1.75438 0.36566 | + | 1302 0.75000 0.00000 0.41667 | 0.67476 1.88933 0.36566 | + | 1303 0.75000 0.00000 0.50000 | 0.80971 2.02428 0.36566 | + | 1304 0.75000 0.00000 0.58333 | 0.94466 2.15923 0.36566 | + | 1305 0.75000 0.00000 0.66667 | 1.07962 2.29418 0.36566 | + | 1306 0.75000 0.00000 0.75000 | 1.21457 2.42914 0.36566 | + | 1307 0.75000 0.00000 0.83333 | 1.34952 2.56409 0.36566 | + | 1308 0.75000 0.00000 0.91667 | 1.48447 2.69904 0.36566 | + | 1309 0.75000 0.08333 0.00000 | 0.13495 1.21457 0.40629 | + | 1310 0.75000 0.08333 0.08333 | 0.26990 1.34952 0.40629 | + | 1311 0.75000 0.08333 0.16667 | 0.40486 1.48447 0.40629 | + | 1312 0.75000 0.08333 0.25000 | 0.53981 1.61942 0.40629 | + | 1313 0.75000 0.08333 0.33333 | 0.67476 1.75438 0.40629 | + | 1314 0.75000 0.08333 0.41667 | 0.80971 1.88933 0.40629 | + | 1315 0.75000 0.08333 0.50000 | 0.94466 2.02428 0.40629 | + | 1316 0.75000 0.08333 0.58333 | 1.07962 2.15923 0.40629 | + | 1317 0.75000 0.08333 0.66667 | 1.21457 2.29418 0.40629 | + | 1318 0.75000 0.08333 0.75000 | 1.34952 2.42914 0.40629 | + | 1319 0.75000 0.08333 0.83333 | 1.48447 2.56409 0.40629 | + | 1320 0.75000 0.08333 0.91667 | 1.61942 2.69904 0.40629 | + | 1321 0.75000 0.16667 0.00000 | 0.26990 1.21457 0.44692 | + | 1322 0.75000 0.16667 0.08333 | 0.40486 1.34952 0.44692 | + | 1323 0.75000 0.16667 0.16667 | 0.53981 1.48447 0.44692 | + | 1324 0.75000 0.16667 0.25000 | 0.67476 1.61942 0.44692 | + | 1325 0.75000 0.16667 0.33333 | 0.80971 1.75438 0.44692 | + | 1326 0.75000 0.16667 0.41667 | 0.94466 1.88933 0.44692 | + | 1327 0.75000 0.16667 0.50000 | 1.07962 2.02428 0.44692 | + | 1328 0.75000 0.16667 0.58333 | 1.21457 2.15923 0.44692 | + | 1329 0.75000 0.16667 0.66667 | 1.34952 2.29418 0.44692 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0.33333 0.08333 | 0.67476 1.34952 0.52818 | + | 1347 0.75000 0.33333 0.16667 | 0.80971 1.48447 0.52818 | + | 1348 0.75000 0.33333 0.25000 | 0.94466 1.61942 0.52818 | + | 1349 0.75000 0.33333 0.33333 | 1.07962 1.75438 0.52818 | + | 1350 0.75000 0.33333 0.41667 | 1.21457 1.88933 0.52818 | + | 1351 0.75000 0.33333 0.50000 | 1.34952 2.02428 0.52818 | + | 1352 0.75000 0.33333 0.58333 | 1.48447 2.15923 0.52818 | + | 1353 0.75000 0.33333 0.66667 | 1.61942 2.29418 0.52818 | + | 1354 0.75000 0.33333 0.75000 | 1.75438 2.42914 0.52818 | + | 1355 0.75000 0.33333 0.83333 | 1.88933 2.56409 0.52818 | + | 1356 0.75000 0.33333 0.91667 | 2.02428 2.69904 0.52818 | + | 1357 0.75000 0.41667 0.00000 | 0.67476 1.21457 0.56881 | + | 1358 0.75000 0.41667 0.08333 | 0.80971 1.34952 0.56881 | + | 1359 0.75000 0.41667 0.16667 | 0.94466 1.48447 0.56881 | + | 1360 0.75000 0.41667 0.25000 | 1.07962 1.61942 0.56881 | + | 1361 0.75000 0.41667 0.33333 | 1.21457 1.75438 0.56881 | + | 1362 0.75000 0.41667 0.41667 | 1.34952 1.88933 0.56881 | + | 1363 0.75000 0.41667 0.50000 | 1.48447 2.02428 0.56881 | + | 1364 0.75000 0.41667 0.58333 | 1.61942 2.15923 0.56881 | + | 1365 0.75000 0.41667 0.66667 | 1.75438 2.29418 0.56881 | + | 1366 0.75000 0.41667 0.75000 | 1.88933 2.42914 0.56881 | + | 1367 0.75000 0.41667 0.83333 | 2.02428 2.56409 0.56881 | + | 1368 0.75000 0.41667 0.91667 | 2.15923 2.69904 0.56881 | + | 1369 0.75000 0.50000 0.00000 | 0.80971 1.21457 0.60944 | + | 1370 0.75000 0.50000 0.08333 | 0.94466 1.34952 0.60944 | + | 1371 0.75000 0.50000 0.16667 | 1.07962 1.48447 0.60944 | + | 1372 0.75000 0.50000 0.25000 | 1.21457 1.61942 0.60944 | + | 1373 0.75000 0.50000 0.33333 | 1.34952 1.75438 0.60944 | + | 1374 0.75000 0.50000 0.41667 | 1.48447 1.88933 0.60944 | + | 1375 0.75000 0.50000 0.50000 | 1.61942 2.02428 0.60944 | + | 1376 0.75000 0.50000 0.58333 | 1.75438 2.15923 0.60944 | + | 1377 0.75000 0.50000 0.66667 | 1.88933 2.29418 0.60944 | + | 1378 0.75000 0.50000 0.75000 | 2.02428 2.42914 0.60944 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0.66667 0.16667 | 1.34952 1.48447 0.69069 | + | 1396 0.75000 0.66667 0.25000 | 1.48447 1.61942 0.69069 | + | 1397 0.75000 0.66667 0.33333 | 1.61942 1.75438 0.69069 | + | 1398 0.75000 0.66667 0.41667 | 1.75438 1.88933 0.69069 | + | 1399 0.75000 0.66667 0.50000 | 1.88933 2.02428 0.69069 | + | 1400 0.75000 0.66667 0.58333 | 2.02428 2.15923 0.69069 | + | 1401 0.75000 0.66667 0.66667 | 2.15923 2.29418 0.69069 | + | 1402 0.75000 0.66667 0.75000 | 2.29418 2.42914 0.69069 | + | 1403 0.75000 0.66667 0.83333 | 2.42914 2.56409 0.69069 | + | 1404 0.75000 0.66667 0.91667 | 2.56409 2.69904 0.69069 | + | 1405 0.75000 0.75000 0.00000 | 1.21457 1.21457 0.73132 | + | 1406 0.75000 0.75000 0.08333 | 1.34952 1.34952 0.73132 | + | 1407 0.75000 0.75000 0.16667 | 1.48447 1.48447 0.73132 | + | 1408 0.75000 0.75000 0.25000 | 1.61942 1.61942 0.73132 | + | 1409 0.75000 0.75000 0.33333 | 1.75438 1.75438 0.73132 | + | 1410 0.75000 0.75000 0.41667 | 1.88933 1.88933 0.73132 | + | 1411 0.75000 0.75000 0.50000 | 2.02428 2.02428 0.73132 | + | 1412 0.75000 0.75000 0.58333 | 2.15923 2.15923 0.73132 | + | 1413 0.75000 0.75000 0.66667 | 2.29418 2.29418 0.73132 | + | 1414 0.75000 0.75000 0.75000 | 2.42914 2.42914 0.73132 | + | 1415 0.75000 0.75000 0.83333 | 2.56409 2.56409 0.73132 | + | 1416 0.75000 0.75000 0.91667 | 2.69904 2.69904 0.73132 | + | 1417 0.75000 0.83333 0.00000 | 1.34952 1.21457 0.77195 | + | 1418 0.75000 0.83333 0.08333 | 1.48447 1.34952 0.77195 | + | 1419 0.75000 0.83333 0.16667 | 1.61942 1.48447 0.77195 | + | 1420 0.75000 0.83333 0.25000 | 1.75438 1.61942 0.77195 | + | 1421 0.75000 0.83333 0.33333 | 1.88933 1.75438 0.77195 | + | 1422 0.75000 0.83333 0.41667 | 2.02428 1.88933 0.77195 | + | 1423 0.75000 0.83333 0.50000 | 2.15923 2.02428 0.77195 | + | 1424 0.75000 0.83333 0.58333 | 2.29418 2.15923 0.77195 | + | 1425 0.75000 0.83333 0.66667 | 2.42914 2.29418 0.77195 | + | 1426 0.75000 0.83333 0.75000 | 2.56409 2.42914 0.77195 | + | 1427 0.75000 0.83333 0.83333 | 2.69904 2.56409 0.77195 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1.07962 2.29418 0.44692 | + | 1461 0.83333 0.08333 0.66667 | 1.21457 2.42914 0.44692 | + | 1462 0.83333 0.08333 0.75000 | 1.34952 2.56409 0.44692 | + | 1463 0.83333 0.08333 0.83333 | 1.48447 2.69904 0.44692 | + | 1464 0.83333 0.08333 0.91667 | 1.61942 2.83399 0.44692 | + | 1465 0.83333 0.16667 0.00000 | 0.26990 1.34952 0.48755 | + | 1466 0.83333 0.16667 0.08333 | 0.40486 1.48447 0.48755 | + | 1467 0.83333 0.16667 0.16667 | 0.53981 1.61942 0.48755 | + | 1468 0.83333 0.16667 0.25000 | 0.67476 1.75438 0.48755 | + | 1469 0.83333 0.16667 0.33333 | 0.80971 1.88933 0.48755 | + | 1470 0.83333 0.16667 0.41667 | 0.94466 2.02428 0.48755 | + | 1471 0.83333 0.16667 0.50000 | 1.07962 2.15923 0.48755 | + | 1472 0.83333 0.16667 0.58333 | 1.21457 2.29418 0.48755 | + | 1473 0.83333 0.16667 0.66667 | 1.34952 2.42914 0.48755 | + | 1474 0.83333 0.16667 0.75000 | 1.48447 2.56409 0.48755 | + | 1475 0.83333 0.16667 0.83333 | 1.61942 2.69904 0.48755 | + | 1476 0.83333 0.16667 0.91667 | 1.75438 2.83399 0.48755 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0.33333 0.33333 | 1.07962 1.88933 0.56881 | + | 1494 0.83333 0.33333 0.41667 | 1.21457 2.02428 0.56881 | + | 1495 0.83333 0.33333 0.50000 | 1.34952 2.15923 0.56881 | + | 1496 0.83333 0.33333 0.58333 | 1.48447 2.29418 0.56881 | + | 1497 0.83333 0.33333 0.66667 | 1.61942 2.42914 0.56881 | + | 1498 0.83333 0.33333 0.75000 | 1.75438 2.56409 0.56881 | + | 1499 0.83333 0.33333 0.83333 | 1.88933 2.69904 0.56881 | + | 1500 0.83333 0.33333 0.91667 | 2.02428 2.83399 0.56881 | + | 1501 0.83333 0.41667 0.00000 | 0.67476 1.34952 0.60944 | + | 1502 0.83333 0.41667 0.08333 | 0.80971 1.48447 0.60944 | + | 1503 0.83333 0.41667 0.16667 | 0.94466 1.61942 0.60944 | + | 1504 0.83333 0.41667 0.25000 | 1.07962 1.75438 0.60944 | + | 1505 0.83333 0.41667 0.33333 | 1.21457 1.88933 0.60944 | + | 1506 0.83333 0.41667 0.41667 | 1.34952 2.02428 0.60944 | + | 1507 0.83333 0.41667 0.50000 | 1.48447 2.15923 0.60944 | + | 1508 0.83333 0.41667 0.58333 | 1.61942 2.29418 0.60944 | + | 1509 0.83333 0.41667 0.66667 | 1.75438 2.42914 0.60944 | + | 1510 0.83333 0.41667 0.75000 | 1.88933 2.56409 0.60944 | + | 1511 0.83333 0.41667 0.83333 | 2.02428 2.69904 0.60944 | + | 1512 0.83333 0.41667 0.91667 | 2.15923 2.83399 0.60944 | + | 1513 0.83333 0.50000 0.00000 | 0.80971 1.34952 0.65006 | + | 1514 0.83333 0.50000 0.08333 | 0.94466 1.48447 0.65006 | + | 1515 0.83333 0.50000 0.16667 | 1.07962 1.61942 0.65006 | + | 1516 0.83333 0.50000 0.25000 | 1.21457 1.75438 0.65006 | + | 1517 0.83333 0.50000 0.33333 | 1.34952 1.88933 0.65006 | + | 1518 0.83333 0.50000 0.41667 | 1.48447 2.02428 0.65006 | + | 1519 0.83333 0.50000 0.50000 | 1.61942 2.15923 0.65006 | + | 1520 0.83333 0.50000 0.58333 | 1.75438 2.29418 0.65006 | + | 1521 0.83333 0.50000 0.66667 | 1.88933 2.42914 0.65006 | + | 1522 0.83333 0.50000 0.75000 | 2.02428 2.56409 0.65006 | + | 1523 0.83333 0.50000 0.83333 | 2.15923 2.69904 0.65006 | + | 1524 0.83333 0.50000 0.91667 | 2.29418 2.83399 0.65006 | + | 1525 0.83333 0.58333 0.00000 | 0.94466 1.34952 0.69069 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0.66667 0.41667 | 1.75438 2.02428 0.73132 | + | 1543 0.83333 0.66667 0.50000 | 1.88933 2.15923 0.73132 | + | 1544 0.83333 0.66667 0.58333 | 2.02428 2.29418 0.73132 | + | 1545 0.83333 0.66667 0.66667 | 2.15923 2.42914 0.73132 | + | 1546 0.83333 0.66667 0.75000 | 2.29418 2.56409 0.73132 | + | 1547 0.83333 0.66667 0.83333 | 2.42914 2.69904 0.73132 | + | 1548 0.83333 0.66667 0.91667 | 2.56409 2.83399 0.73132 | + | 1549 0.83333 0.75000 0.00000 | 1.21457 1.34952 0.77195 | + | 1550 0.83333 0.75000 0.08333 | 1.34952 1.48447 0.77195 | + | 1551 0.83333 0.75000 0.16667 | 1.48447 1.61942 0.77195 | + | 1552 0.83333 0.75000 0.25000 | 1.61942 1.75438 0.77195 | + | 1553 0.83333 0.75000 0.33333 | 1.75438 1.88933 0.77195 | + | 1554 0.83333 0.75000 0.41667 | 1.88933 2.02428 0.77195 | + | 1555 0.83333 0.75000 0.50000 | 2.02428 2.15923 0.77195 | + | 1556 0.83333 0.75000 0.58333 | 2.15923 2.29418 0.77195 | + | 1557 0.83333 0.75000 0.66667 | 2.29418 2.42914 0.77195 | + | 1558 0.83333 0.75000 0.75000 | 2.42914 2.56409 0.77195 | + | 1559 0.83333 0.75000 0.83333 | 2.56409 2.69904 0.77195 | + | 1560 0.83333 0.75000 0.91667 | 2.69904 2.83399 0.77195 | + | 1561 0.83333 0.83333 0.00000 | 1.34952 1.34952 0.81258 | + | 1562 0.83333 0.83333 0.08333 | 1.48447 1.48447 0.81258 | + | 1563 0.83333 0.83333 0.16667 | 1.61942 1.61942 0.81258 | + | 1564 0.83333 0.83333 0.25000 | 1.75438 1.75438 0.81258 | + | 1565 0.83333 0.83333 0.33333 | 1.88933 1.88933 0.81258 | + | 1566 0.83333 0.83333 0.41667 | 2.02428 2.02428 0.81258 | + | 1567 0.83333 0.83333 0.50000 | 2.15923 2.15923 0.81258 | + | 1568 0.83333 0.83333 0.58333 | 2.29418 2.29418 0.81258 | + | 1569 0.83333 0.83333 0.66667 | 2.42914 2.42914 0.81258 | + | 1570 0.83333 0.83333 0.75000 | 2.56409 2.56409 0.81258 | + | 1571 0.83333 0.83333 0.83333 | 2.69904 2.69904 0.81258 | + | 1572 0.83333 0.83333 0.91667 | 2.83399 2.83399 0.81258 | + | 1573 0.83333 0.91667 0.00000 | 1.48447 1.34952 0.85321 | + | 1574 0.83333 0.91667 0.08333 | 1.61942 1.48447 0.85321 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0.00000 0.50000 | 0.80971 2.29418 0.44692 | + | 1592 0.91667 0.00000 0.58333 | 0.94466 2.42914 0.44692 | + | 1593 0.91667 0.00000 0.66667 | 1.07962 2.56409 0.44692 | + | 1594 0.91667 0.00000 0.75000 | 1.21457 2.69904 0.44692 | + | 1595 0.91667 0.00000 0.83333 | 1.34952 2.83399 0.44692 | + | 1596 0.91667 0.00000 0.91667 | 1.48447 2.96894 0.44692 | + | 1597 0.91667 0.08333 0.00000 | 0.13495 1.48447 0.48755 | + | 1598 0.91667 0.08333 0.08333 | 0.26990 1.61942 0.48755 | + | 1599 0.91667 0.08333 0.16667 | 0.40486 1.75438 0.48755 | + | 1600 0.91667 0.08333 0.25000 | 0.53981 1.88933 0.48755 | + | 1601 0.91667 0.08333 0.33333 | 0.67476 2.02428 0.48755 | + | 1602 0.91667 0.08333 0.41667 | 0.80971 2.15923 0.48755 | + | 1603 0.91667 0.08333 0.50000 | 0.94466 2.29418 0.48755 | + | 1604 0.91667 0.08333 0.58333 | 1.07962 2.42914 0.48755 | + | 1605 0.91667 0.08333 0.66667 | 1.21457 2.56409 0.48755 | + | 1606 0.91667 0.08333 0.75000 | 1.34952 2.69904 0.48755 | + | 1607 0.91667 0.08333 0.83333 | 1.48447 2.83399 0.48755 | + | 1608 0.91667 0.08333 0.91667 | 1.61942 2.96894 0.48755 | + | 1609 0.91667 0.16667 0.00000 | 0.26990 1.48447 0.52818 | + | 1610 0.91667 0.16667 0.08333 | 0.40486 1.61942 0.52818 | + | 1611 0.91667 0.16667 0.16667 | 0.53981 1.75438 0.52818 | + | 1612 0.91667 0.16667 0.25000 | 0.67476 1.88933 0.52818 | + | 1613 0.91667 0.16667 0.33333 | 0.80971 2.02428 0.52818 | + | 1614 0.91667 0.16667 0.41667 | 0.94466 2.15923 0.52818 | + | 1615 0.91667 0.16667 0.50000 | 1.07962 2.29418 0.52818 | + | 1616 0.91667 0.16667 0.58333 | 1.21457 2.42914 0.52818 | + | 1617 0.91667 0.16667 0.66667 | 1.34952 2.56409 0.52818 | + | 1618 0.91667 0.16667 0.75000 | 1.48447 2.69904 0.52818 | + | 1619 0.91667 0.16667 0.83333 | 1.61942 2.83399 0.52818 | + | 1620 0.91667 0.16667 0.91667 | 1.75438 2.96894 0.52818 | + | 1621 0.91667 0.25000 0.00000 | 0.40486 1.48447 0.56881 | + | 1622 0.91667 0.25000 0.08333 | 0.53981 1.61942 0.56881 | + | 1623 0.91667 0.25000 0.16667 | 0.67476 1.75438 0.56881 | + | 1624 0.91667 0.25000 0.25000 | 0.80971 1.88933 0.56881 | + | 1625 0.91667 0.25000 0.33333 | 0.94466 2.02428 0.56881 | + | 1626 0.91667 0.25000 0.41667 | 1.07962 2.15923 0.56881 | + | 1627 0.91667 0.25000 0.50000 | 1.21457 2.29418 0.56881 | + | 1628 0.91667 0.25000 0.58333 | 1.34952 2.42914 0.56881 | + | 1629 0.91667 0.25000 0.66667 | 1.48447 2.56409 0.56881 | + | 1630 0.91667 0.25000 0.75000 | 1.61942 2.69904 0.56881 | + | 1631 0.91667 0.25000 0.83333 | 1.75438 2.83399 0.56881 | + | 1632 0.91667 0.25000 0.91667 | 1.88933 2.96894 0.56881 | + | 1633 0.91667 0.33333 0.00000 | 0.53981 1.48447 0.60944 | + | 1634 0.91667 0.33333 0.08333 | 0.67476 1.61942 0.60944 | + | 1635 0.91667 0.33333 0.16667 | 0.80971 1.75438 0.60944 | + | 1636 0.91667 0.33333 0.25000 | 0.94466 1.88933 0.60944 | + | 1637 0.91667 0.33333 0.33333 | 1.07962 2.02428 0.60944 | + | 1638 0.91667 0.33333 0.41667 | 1.21457 2.15923 0.60944 | + | 1639 0.91667 0.33333 0.50000 | 1.34952 2.29418 0.60944 | + | 1640 0.91667 0.33333 0.58333 | 1.48447 2.42914 0.60944 | + | 1641 0.91667 0.33333 0.66667 | 1.61942 2.56409 0.60944 | + | 1642 0.91667 0.33333 0.75000 | 1.75438 2.69904 0.60944 | + | 1643 0.91667 0.33333 0.83333 | 1.88933 2.83399 0.60944 | + | 1644 0.91667 0.33333 0.91667 | 2.02428 2.96894 0.60944 | + | 1645 0.91667 0.41667 0.00000 | 0.67476 1.48447 0.65006 | + | 1646 0.91667 0.41667 0.08333 | 0.80971 1.61942 0.65006 | + | 1647 0.91667 0.41667 0.16667 | 0.94466 1.75438 0.65006 | + | 1648 0.91667 0.41667 0.25000 | 1.07962 1.88933 0.65006 | + | 1649 0.91667 0.41667 0.33333 | 1.21457 2.02428 0.65006 | + | 1650 0.91667 0.41667 0.41667 | 1.34952 2.15923 0.65006 | + | 1651 0.91667 0.41667 0.50000 | 1.48447 2.29418 0.65006 | + | 1652 0.91667 0.41667 0.58333 | 1.61942 2.42914 0.65006 | + | 1653 0.91667 0.41667 0.66667 | 1.75438 2.56409 0.65006 | + | 1654 0.91667 0.41667 0.75000 | 1.88933 2.69904 0.65006 | + | 1655 0.91667 0.41667 0.83333 | 2.02428 2.83399 0.65006 | + | 1656 0.91667 0.41667 0.91667 | 2.15923 2.96894 0.65006 | + | 1657 0.91667 0.50000 0.00000 | 0.80971 1.48447 0.69069 | + | 1658 0.91667 0.50000 0.08333 | 0.94466 1.61942 0.69069 | + | 1659 0.91667 0.50000 0.16667 | 1.07962 1.75438 0.69069 | + | 1660 0.91667 0.50000 0.25000 | 1.21457 1.88933 0.69069 | + | 1661 0.91667 0.50000 0.33333 | 1.34952 2.02428 0.69069 | + | 1662 0.91667 0.50000 0.41667 | 1.48447 2.15923 0.69069 | + | 1663 0.91667 0.50000 0.50000 | 1.61942 2.29418 0.69069 | + | 1664 0.91667 0.50000 0.58333 | 1.75438 2.42914 0.69069 | + | 1665 0.91667 0.50000 0.66667 | 1.88933 2.56409 0.69069 | + | 1666 0.91667 0.50000 0.75000 | 2.02428 2.69904 0.69069 | + | 1667 0.91667 0.50000 0.83333 | 2.15923 2.83399 0.69069 | + | 1668 0.91667 0.50000 0.91667 | 2.29418 2.96894 0.69069 | + | 1669 0.91667 0.58333 0.00000 | 0.94466 1.48447 0.73132 | + | 1670 0.91667 0.58333 0.08333 | 1.07962 1.61942 0.73132 | + | 1671 0.91667 0.58333 0.16667 | 1.21457 1.75438 0.73132 | + | 1672 0.91667 0.58333 0.25000 | 1.34952 1.88933 0.73132 | + | 1673 0.91667 0.58333 0.33333 | 1.48447 2.02428 0.73132 | + | 1674 0.91667 0.58333 0.41667 | 1.61942 2.15923 0.73132 | + | 1675 0.91667 0.58333 0.50000 | 1.75438 2.29418 0.73132 | + | 1676 0.91667 0.58333 0.58333 | 1.88933 2.42914 0.73132 | + | 1677 0.91667 0.58333 0.66667 | 2.02428 2.56409 0.73132 | + | 1678 0.91667 0.58333 0.75000 | 2.15923 2.69904 0.73132 | + | 1679 0.91667 0.58333 0.83333 | 2.29418 2.83399 0.73132 | + | 1680 0.91667 0.58333 0.91667 | 2.42914 2.96894 0.73132 | + | 1681 0.91667 0.66667 0.00000 | 1.07962 1.48447 0.77195 | + | 1682 0.91667 0.66667 0.08333 | 1.21457 1.61942 0.77195 | + | 1683 0.91667 0.66667 0.16667 | 1.34952 1.75438 0.77195 | + | 1684 0.91667 0.66667 0.25000 | 1.48447 1.88933 0.77195 | + | 1685 0.91667 0.66667 0.33333 | 1.61942 2.02428 0.77195 | + | 1686 0.91667 0.66667 0.41667 | 1.75438 2.15923 0.77195 | + | 1687 0.91667 0.66667 0.50000 | 1.88933 2.29418 0.77195 | + | 1688 0.91667 0.66667 0.58333 | 2.02428 2.42914 0.77195 | + | 1689 0.91667 0.66667 0.66667 | 2.15923 2.56409 0.77195 | + | 1690 0.91667 0.66667 0.75000 | 2.29418 2.69904 0.77195 | + | 1691 0.91667 0.66667 0.83333 | 2.42914 2.83399 0.77195 | + | 1692 0.91667 0.66667 0.91667 | 2.56409 2.96894 0.77195 | + | 1693 0.91667 0.75000 0.00000 | 1.21457 1.48447 0.81258 | + | 1694 0.91667 0.75000 0.08333 | 1.34952 1.61942 0.81258 | + | 1695 0.91667 0.75000 0.16667 | 1.48447 1.75438 0.81258 | + | 1696 0.91667 0.75000 0.25000 | 1.61942 1.88933 0.81258 | + | 1697 0.91667 0.75000 0.33333 | 1.75438 2.02428 0.81258 | + | 1698 0.91667 0.75000 0.41667 | 1.88933 2.15923 0.81258 | + | 1699 0.91667 0.75000 0.50000 | 2.02428 2.29418 0.81258 | + | 1700 0.91667 0.75000 0.58333 | 2.15923 2.42914 0.81258 | + | 1701 0.91667 0.75000 0.66667 | 2.29418 2.56409 0.81258 | + | 1702 0.91667 0.75000 0.75000 | 2.42914 2.69904 0.81258 | + | 1703 0.91667 0.75000 0.83333 | 2.56409 2.83399 0.81258 | + | 1704 0.91667 0.75000 0.91667 | 2.69904 2.96894 0.81258 | + | 1705 0.91667 0.83333 0.00000 | 1.34952 1.48447 0.85321 | + | 1706 0.91667 0.83333 0.08333 | 1.48447 1.61942 0.85321 | + | 1707 0.91667 0.83333 0.16667 | 1.61942 1.75438 0.85321 | + | 1708 0.91667 0.83333 0.25000 | 1.75438 1.88933 0.85321 | + | 1709 0.91667 0.83333 0.33333 | 1.88933 2.02428 0.85321 | + | 1710 0.91667 0.83333 0.41667 | 2.02428 2.15923 0.85321 | + | 1711 0.91667 0.83333 0.50000 | 2.15923 2.29418 0.85321 | + | 1712 0.91667 0.83333 0.58333 | 2.29418 2.42914 0.85321 | + | 1713 0.91667 0.83333 0.66667 | 2.42914 2.56409 0.85321 | + | 1714 0.91667 0.83333 0.75000 | 2.56409 2.69904 0.85321 | + | 1715 0.91667 0.83333 0.83333 | 2.69904 2.83399 0.85321 | + | 1716 0.91667 0.83333 0.91667 | 2.83399 2.96894 0.85321 | + | 1717 0.91667 0.91667 0.00000 | 1.48447 1.48447 0.89384 | + | 1718 0.91667 0.91667 0.08333 | 1.61942 1.61942 0.89384 | + | 1719 0.91667 0.91667 0.16667 | 1.75438 1.75438 0.89384 | + | 1720 0.91667 0.91667 0.25000 | 1.88933 1.88933 0.89384 | + | 1721 0.91667 0.91667 0.33333 | 2.02428 2.02428 0.89384 | + | 1722 0.91667 0.91667 0.41667 | 2.15923 2.15923 0.89384 | + | 1723 0.91667 0.91667 0.50000 | 2.29418 2.29418 0.89384 | + | 1724 0.91667 0.91667 0.58333 | 2.42914 2.42914 0.89384 | + | 1725 0.91667 0.91667 0.66667 | 2.56409 2.56409 0.89384 | + | 1726 0.91667 0.91667 0.75000 | 2.69904 2.69904 0.89384 | + | 1727 0.91667 0.91667 0.83333 | 2.83399 2.83399 0.89384 | + | 1728 0.91667 0.91667 0.91667 | 2.96894 2.96894 0.89384 | + *----------------------------------------------------------------------------* + + + *---------------------------------- MAIN ------------------------------------* + | Number of Wannier Functions : 3 | + | Number of Objective Wannier Functions : 3 | + | Number of input Bloch states : 6 | + | Output verbosity (1=low, 5=high) : 2 | + | Timing Level (1=low, 5=high) : 1 | + | Optimisation (0=memory, 3=speed) : 3 | + | Length Unit : Ang | + | Post-processing setup (write *.nnkp) : F | + | Using Gamma-only branch of algorithms : F | + *----------------------------------------------------------------------------* + *------------------------------- WANNIERISE ---------------------------------* + | Total number of iterations : 1000 | + | Number of CG steps before reset : 5 | + | Trial step length for line search : 2.000 | + | Convergence tolerence : 0.100E-11 | + | Convergence window : 5 | + | Iterations between writing output : 1 | + | Iterations between backing up to disk : 100 | + | Write r^2_nm to file : F | + | Write xyz WF centres to file : F | + | Write on-site energies <0n|H|0n> to file : F | + | Use guiding centre to control phases : F | + | Use phases for initial projections : F | + *----------------------------------------------------------------------------* + *------------------------------- DISENTANGLE --------------------------------* + | Using band disentanglement : T | + | Total number of iterations : 1000 | + | Mixing ratio : 0.500 | + | Convergence tolerence : 1.000E-12 | + | Convergence window : 3 | + *----------------------------------------------------------------------------* + *-------------------------------- PLOTTING ----------------------------------* + | Plotting interpolated bandstructure : T | + | Number of K-path sections : 4 | + | Divisions along first K-path section : 100 | + | Output format : gnuplot | + | Output mode : s-k | + *----------------------------------------------------------------------------* + | K-space path sections: | + | From: G 0.000 0.000 0.000 To: N 0.000 0.500 0.000 | + | From: N 0.000 0.500 0.000 To: X 0.000 0.000 0.500 | + | From: X 0.000 0.000 0.500 To: G 0.000 0.000 0.000 | + | From: G 0.000 0.000 0.000 To: M 0.250 0.250 -0.250 | + *----------------------------------------------------------------------------* + | Plotting Hamiltonian in WF basis : T | + *----------------------------------------------------------------------------* + Time to read parameters 0.099 (sec) + + *---------------------------------- K-MESH ----------------------------------* + +----------------------------------------------------------------------------+ + | Distance to Nearest-Neighbour Shells | + | ------------------------------------ | + | Shell Distance (Ang^-1) Multiplicity | + | ----- ----------------- ------------ | + | 1 0.081258 2 | + | 2 0.140935 8 | + | 3 0.162516 2 | + | 4 0.181848 8 | + | 5 0.190851 4 | + | 6 0.207429 8 | + | 7 0.243774 2 | + | 8 0.243885 8 | + | 9 0.250670 8 | + | 10 0.269904 4 | + | 11 0.281871 8 | + | 12 0.304485 16 | + | 13 0.309597 8 | + | 14 0.314797 8 | + | 15 0.315055 8 | + | 16 0.325032 2 | + | 17 0.325449 16 | + | 18 0.363695 8 | + | 19 0.363770 16 | + | 20 0.376922 8 | + | 21 0.381702 4 | + | 22 0.389770 8 | + | 23 0.390255 8 | + | 24 0.406291 2 | + | 25 0.406890 8 | + | 26 0.414663 16 | + | 27 0.414859 8 | + | 28 0.422486 8 | + | 29 0.422806 8 | + | 30 0.426756 8 | + | 31 0.434423 16 | + | 32 0.448883 8 | + | 33 0.452904 8 | + | 34 0.452964 8 | + | 35 0.456653 16 | + | 36 0.466850 8 | + +----------------------------------------------------------------------------+ + | The b-vectors are chosen automatically | + | Shell: 1 w_b 75.7245257 (Ang^2) | + | Shell: 1 w_b 61.9973500 (Ang^2) | + | Shell: 2 w_b 13.7271757 (Ang^2) | + | The following shells are used: 1, 2 | + +----------------------------------------------------------------------------+ + | Shell # Nearest-Neighbours | + | ----- -------------------- | + | 1 2 | + | 2 8 | + +----------------------------------------------------------------------------+ + | Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] | + +----------------------------------------------------------------------------+ + | b_k Vectors (Ang^-1) and Weights (Ang^2) | + | ---------------------------------------- | + | No. b_k(x) b_k(y) b_k(z) w_b | + | --- -------------------------------- -------- | + | 1 0.000000 0.000000 0.081258 61.997350 | + | 2 0.000000 0.000000 -0.081258 61.997350 | + | 3 0.134952 0.000000 0.040629 13.727176 | + | 4 0.000000 0.134952 0.040629 13.727176 | + | 5 -0.134952 -0.000000 -0.040629 13.727176 | + | 6 0.000000 0.134952 -0.040629 13.727176 | + | 7 -0.000000 -0.134952 -0.040629 13.727176 | + | 8 0.134952 0.000000 -0.040629 13.727176 | + | 9 0.000000 -0.134952 0.040629 13.727176 | + | 10 -0.134952 0.000000 0.040629 13.727176 | + +----------------------------------------------------------------------------+ + | b_k Directions (Ang^-1) | + | ----------------------- | + | No. x y z | + | --- -------------------------------- | + | 1 0.000000 0.000000 0.081258 | + | 2 0.134952 0.000000 0.040629 | + | 3 0.000000 0.134952 0.040629 | + | 4 0.000000 0.134952 -0.040629 | + | 5 0.134952 0.000000 -0.040629 | + +----------------------------------------------------------------------------+ + + Time to get kmesh 6.705 (sec) + *============================================================================* + | MEMORY ESTIMATE | + | Maximum RAM allocated during each phase of the calculation | + *============================================================================* + | Disentanglement 14.10 Mb | + | Wannierise: 9.02 Mb | + | | + | N.B. by setting optimisation=0 memory usage will be reduced to: | + | Disentanglement 13.64 Mb | + | Wannierise: 6.64 Mb | + | However, this will result in more i/o and slow down the calculation | + | plot_wannier: 9.02 Mb | + *----------------------------------------------------------------------------* + + Starting a new Wannier90 calculation ... + + + Reading overlaps from sro.mmn : Created on 30Jun2021 at 12: 1:48 + + Reading projections from sro.amn : Created on 30Jun2021 at 12: 0:14 + + Time to read overlaps 0.606 (sec) + + *------------------------------- DISENTANGLE --------------------------------* + +----------------------------------------------------------------------------+ + | Energy Windows | + | --------------- | + | Outer: 8.20000 to 12.40000 (eV) | + | Inner: 10.00000 to 12.40000 (eV) | + +----------------------------------------------------------------------------+ + | K-points with Frozen States | + | --------------------------- | + | 1 2 3 4 5 6 7 8 9 10 11 12 | + | 13 14 15 16 17 18 19 20 21 22 23 24 | + | 25 26 27 28 29 30 31 32 33 34 35 36 | + | 37 38 39 40 41 42 43 44 45 46 47 48 | + | 49 50 51 52 53 54 55 56 57 58 59 60 | + | 61 62 63 64 65 66 67 68 69 70 71 72 | + | 73 74 75 76 77 78 79 80 81 82 83 84 | + | 85 86 87 88 89 90 91 92 93 94 95 96 | + | 97 98 99 100 101 102 103 104 105 106 107 108 | + | 109 110 111 112 113 114 115 116 117 118 119 120 | + | 121 122 123 124 125 126 127 128 129 130 131 132 | + | 133 134 135 136 137 138 139 140 141 142 143 144 | + | 145 146 147 148 149 150 151 152 153 154 155 156 | + | 157 158 159 160 161 162 163 164 165 166 167 168 | + | 169 170 171 172 173 174 175 176 177 178 179 180 | + | 181 182 183 184 185 186 187 188 189 190 191 192 | + | 193 194 195 196 197 198 199 200 201 202 203 204 | + | 205 206 207 208 209 210 211 212 213 214 215 216 | + | 217 218 219 220 221 222 223 224 225 226 227 228 | + | 229 230 231 232 233 234 235 236 237 238 239 240 | + | 241 242 243 244 245 246 247 248 249 250 251 252 | + | 253 254 255 256 257 258 259 260 261 262 263 264 | + | 265 266 267 268 269 270 271 272 273 274 275 276 | + | 277 278 279 280 281 282 283 284 285 286 287 288 | + | 289 290 291 292 293 294 295 296 297 298 299 300 | + | 301 302 303 304 305 306 307 308 309 310 311 312 | + | 313 314 315 316 317 318 319 320 321 322 323 324 | + | 325 326 327 328 329 330 331 332 333 334 335 336 | + | 337 338 339 340 341 342 343 344 345 346 347 348 | + | 349 350 351 352 353 354 355 356 357 358 359 360 | + | 361 362 363 364 365 366 367 368 369 370 371 372 | + | 373 374 375 376 377 378 379 380 381 382 383 384 | + | 385 386 387 388 389 390 391 392 393 394 395 396 | + | 397 398 399 400 401 402 403 404 405 406 407 408 | + | 409 410 411 412 413 414 415 416 417 418 419 420 | + | 421 422 423 424 425 426 427 428 429 430 431 432 | + | 433 434 435 436 437 438 439 440 441 442 443 444 | + | 445 446 447 448 449 450 451 452 453 454 455 456 | + | 457 458 459 460 461 462 463 464 465 466 467 468 | + | 469 470 471 472 473 474 475 476 477 478 479 480 | + | 481 482 483 484 485 486 487 488 489 490 491 492 | + | 493 494 495 496 497 498 499 500 501 502 503 504 | + | 505 506 507 508 509 510 511 512 513 514 515 516 | + | 517 518 519 520 521 522 523 524 525 526 527 528 | + | 529 530 531 532 533 534 535 536 537 538 539 540 | + | 541 542 543 544 545 546 547 548 549 550 551 552 | + | 553 554 555 556 557 558 559 560 561 562 563 564 | + | 565 566 567 568 569 570 571 572 573 574 575 576 | + | 577 578 579 580 581 582 583 584 585 586 587 588 | + | 589 590 591 592 593 594 595 596 597 598 599 600 | + | 601 602 603 604 605 606 607 608 609 610 611 612 | + | 613 614 615 616 617 618 619 620 621 622 623 624 | + | 625 626 627 628 629 630 631 632 633 634 635 636 | + | 637 638 639 640 641 642 643 644 645 646 647 648 | + | 649 650 651 652 653 654 655 656 657 658 659 660 | + | 661 662 663 664 665 666 667 668 669 670 671 672 | + | 673 674 675 676 677 678 679 680 681 682 683 684 | + | 685 686 687 688 689 690 691 692 693 694 695 696 | + | 697 698 699 700 701 702 703 704 705 706 707 708 | + | 709 710 711 712 713 714 715 716 717 718 719 720 | + | 721 722 723 724 725 726 727 728 729 730 731 732 | + | 733 734 735 736 737 738 739 740 741 742 743 744 | + | 745 746 747 748 749 750 751 752 753 754 755 756 | + | 757 758 759 760 761 762 763 764 765 766 767 768 | + | 769 770 771 772 773 774 775 776 777 778 779 780 | + | 781 782 783 784 785 786 787 788 789 790 791 792 | + | 793 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+---------------------------------------------------------------------+<-- DIS + | Iter Omega_I(i-1) Omega_I(i) Delta (frac.) Time |<-- DIS + +---------------------------------------------------------------------+<-- DIS + 1 11.18131543 11.16942545 1.065E-03 0.00 <-- DIS + 2 11.17131219 11.16587079 4.873E-04 0.02 <-- DIS + 3 11.16743446 11.16347682 3.545E-04 0.03 <-- DIS + 4 11.16461764 11.16184416 2.485E-04 0.05 <-- DIS + 5 11.16261208 11.16071829 1.697E-04 0.06 <-- DIS + 6 11.16120009 11.15993399 1.135E-04 0.08 <-- DIS + 7 11.16021185 11.15938244 7.432E-05 0.09 <-- DIS + 8 11.15952193 11.15899106 4.757E-05 0.11 <-- DIS + 9 11.15904048 11.15871095 2.953E-05 0.14 <-- DIS + 10 11.15870418 11.15850884 1.751E-05 0.16 <-- DIS + 11 11.15846890 11.15836188 9.590E-06 0.17 <-- DIS + 12 11.15830398 11.15825425 4.457E-06 0.19 <-- DIS + 13 11.15818819 11.15817489 1.192E-06 0.20 <-- DIS + 14 11.15810681 11.15811600 -8.244E-07 0.22 <-- DIS + 15 11.15804959 11.15807206 -2.014E-06 0.23 <-- DIS + 16 11.15800942 11.15803910 -2.660E-06 0.25 <-- DIS + 17 11.15798129 11.15801427 -2.955E-06 0.26 <-- DIS + 18 11.15796171 11.15799547 -3.026E-06 0.28 <-- DIS + 19 11.15794819 11.15798119 -2.958E-06 0.29 <-- DIS + 20 11.15793899 11.15797031 -2.808E-06 0.31 <-- DIS + 21 11.15793284 11.15796200 -2.613E-06 0.32 <-- DIS + 22 11.15792886 11.15795563 -2.399E-06 0.34 <-- DIS + 23 11.15792642 11.15795074 -2.180E-06 0.35 <-- DIS + 24 11.15792504 11.15794697 -1.966E-06 0.37 <-- DIS + 25 11.15792441 11.15794407 -1.762E-06 0.38 <-- DIS + 26 11.15792428 11.15794184 -1.573E-06 0.40 <-- DIS + 27 11.15792449 11.15794011 -1.399E-06 0.41 <-- DIS + 28 11.15792492 11.15793877 -1.241E-06 0.43 <-- DIS + 29 11.15792548 11.15793773 -1.098E-06 0.45 <-- DIS + 30 11.15792610 11.15793693 -9.701E-07 0.46 <-- DIS + 31 11.15792676 11.15793630 -8.557E-07 0.48 <-- DIS + 32 11.15792741 11.15793582 -7.539E-07 0.49 <-- DIS + 33 11.15792804 11.15793544 -6.635E-07 0.51 <-- DIS + 34 11.15792864 11.15793515 -5.835E-07 0.52 <-- DIS + 35 11.15792920 11.15793493 -5.128E-07 0.54 <-- DIS + 36 11.15792972 11.15793475 -4.504E-07 0.55 <-- DIS + 37 11.15793020 11.15793461 -3.953E-07 0.57 <-- DIS + 38 11.15793063 11.15793450 -3.469E-07 0.58 <-- DIS + 39 11.15793103 11.15793442 -3.043E-07 0.60 <-- DIS + 40 11.15793138 11.15793436 -2.668E-07 0.61 <-- DIS + 41 11.15793170 11.15793430 -2.338E-07 0.63 <-- DIS + 42 11.15793198 11.15793426 -2.049E-07 0.64 <-- DIS + 43 11.15793223 11.15793423 -1.795E-07 0.66 <-- DIS + 44 11.15793246 11.15793421 -1.572E-07 0.67 <-- DIS + 45 11.15793265 11.15793419 -1.377E-07 0.69 <-- DIS + 46 11.15793283 11.15793418 -1.205E-07 0.70 <-- DIS + 47 11.15793299 11.15793416 -1.055E-07 0.72 <-- DIS + 48 11.15793313 11.15793416 -9.229E-08 0.74 <-- DIS + 49 11.15793325 11.15793415 -8.074E-08 0.75 <-- DIS + 50 11.15793335 11.15793414 -7.060E-08 0.76 <-- DIS + 51 11.15793345 11.15793414 -6.173E-08 0.78 <-- DIS + 52 11.15793353 11.15793413 -5.395E-08 0.80 <-- DIS + 53 11.15793361 11.15793413 -4.714E-08 0.81 <-- DIS + 54 11.15793367 11.15793413 -4.117E-08 0.83 <-- DIS + 55 11.15793373 11.15793413 -3.595E-08 0.84 <-- DIS + 56 11.15793378 11.15793413 -3.137E-08 0.86 <-- DIS + 57 11.15793382 11.15793413 -2.737E-08 0.87 <-- DIS + 58 11.15793386 11.15793412 -2.386E-08 0.88 <-- DIS + 59 11.15793389 11.15793412 -2.080E-08 0.90 <-- DIS + 60 11.15793392 11.15793412 -1.811E-08 0.91 <-- DIS + 61 11.15793395 11.15793412 -1.577E-08 0.93 <-- DIS + 62 11.15793397 11.15793412 -1.372E-08 0.95 <-- DIS + 63 11.15793399 11.15793412 -1.193E-08 0.96 <-- DIS + 64 11.15793401 11.15793412 -1.036E-08 0.97 <-- DIS + 65 11.15793402 11.15793412 -8.992E-09 0.99 <-- DIS + 66 11.15793404 11.15793412 -7.798E-09 1.01 <-- DIS + 67 11.15793405 11.15793412 -6.756E-09 1.02 <-- DIS + 68 11.15793406 11.15793412 -5.847E-09 1.04 <-- DIS + 69 11.15793407 11.15793412 -5.055E-09 1.05 <-- DIS + 70 11.15793407 11.15793412 -4.365E-09 1.07 <-- DIS + 71 11.15793408 11.15793412 -3.763E-09 1.08 <-- DIS + 72 11.15793409 11.15793412 -3.240E-09 1.10 <-- DIS + 73 11.15793409 11.15793412 -2.785E-09 1.11 <-- DIS + 74 11.15793409 11.15793412 -2.390E-09 1.12 <-- DIS + 75 11.15793410 11.15793412 -2.046E-09 1.14 <-- DIS + 76 11.15793410 11.15793412 -1.748E-09 1.15 <-- DIS + 77 11.15793410 11.15793412 -1.490E-09 1.17 <-- DIS + 78 11.15793411 11.15793412 -1.266E-09 1.18 <-- DIS + 79 11.15793411 11.15793412 -1.073E-09 1.20 <-- DIS + 80 11.15793411 11.15793412 -9.056E-10 1.21 <-- DIS + 81 11.15793411 11.15793412 -7.614E-10 1.23 <-- DIS + 82 11.15793411 11.15793412 -6.372E-10 1.25 <-- DIS + 83 11.15793412 11.15793412 -5.303E-10 1.26 <-- DIS + 84 11.15793412 11.15793412 -4.386E-10 1.27 <-- DIS + 85 11.15793412 11.15793412 -3.599E-10 1.29 <-- DIS + 86 11.15793412 11.15793412 -2.927E-10 1.31 <-- DIS + 87 11.15793412 11.15793412 -2.353E-10 1.32 <-- DIS + 88 11.15793412 11.15793412 -1.865E-10 1.34 <-- DIS + 89 11.15793412 11.15793412 -1.451E-10 1.35 <-- DIS + 90 11.15793412 11.15793412 -1.101E-10 1.37 <-- DIS + 91 11.15793412 11.15793412 -8.063E-11 1.38 <-- DIS + 92 11.15793412 11.15793412 -5.591E-11 1.40 <-- DIS + 93 11.15793412 11.15793412 -3.530E-11 1.41 <-- DIS + 94 11.15793412 11.15793412 -1.821E-11 1.43 <-- DIS + 95 11.15793412 11.15793412 -4.143E-12 1.44 <-- DIS + 96 11.15793412 11.15793412 7.338E-12 1.46 <-- DIS + 97 11.15793412 11.15793412 1.661E-11 1.47 <-- DIS + 98 11.15793412 11.15793412 2.400E-11 1.49 <-- DIS + 99 11.15793412 11.15793412 2.979E-11 1.50 <-- DIS + 100 11.15793412 11.15793412 3.423E-11 1.52 <-- DIS + 101 11.15793412 11.15793412 3.753E-11 1.53 <-- DIS + 102 11.15793412 11.15793412 3.987E-11 1.55 <-- DIS + 103 11.15793412 11.15793412 4.141E-11 1.56 <-- DIS + 104 11.15793412 11.15793412 4.228E-11 1.58 <-- DIS + 105 11.15793412 11.15793412 4.261E-11 1.59 <-- DIS + 106 11.15793412 11.15793412 4.248E-11 1.61 <-- DIS + 107 11.15793412 11.15793412 4.199E-11 1.62 <-- DIS + 108 11.15793412 11.15793412 4.121E-11 1.63 <-- DIS + 109 11.15793412 11.15793412 4.019E-11 1.65 <-- DIS + 110 11.15793412 11.15793412 3.901E-11 1.67 <-- DIS + 111 11.15793412 11.15793412 3.768E-11 1.68 <-- DIS + 112 11.15793412 11.15793412 3.626E-11 1.69 <-- DIS + 113 11.15793412 11.15793412 3.477E-11 1.71 <-- DIS + 114 11.15793412 11.15793412 3.324E-11 1.72 <-- DIS + 115 11.15793412 11.15793412 3.169E-11 1.74 <-- DIS + 116 11.15793412 11.15793412 3.015E-11 1.75 <-- DIS + 117 11.15793412 11.15793412 2.861E-11 1.77 <-- DIS + 118 11.15793412 11.15793412 2.710E-11 1.78 <-- DIS + 119 11.15793412 11.15793412 2.563E-11 1.80 <-- DIS + 120 11.15793412 11.15793412 2.419E-11 1.81 <-- DIS + 121 11.15793412 11.15793412 2.280E-11 1.83 <-- DIS + 122 11.15793412 11.15793412 2.146E-11 1.84 <-- DIS + 123 11.15793412 11.15793412 2.018E-11 1.86 <-- DIS + 124 11.15793412 11.15793412 1.895E-11 1.87 <-- DIS + 125 11.15793412 11.15793412 1.778E-11 1.89 <-- DIS + 126 11.15793412 11.15793412 1.666E-11 1.90 <-- DIS + 127 11.15793412 11.15793412 1.560E-11 1.92 <-- DIS + 128 11.15793412 11.15793412 1.460E-11 1.93 <-- DIS + 129 11.15793412 11.15793412 1.364E-11 1.95 <-- DIS + 130 11.15793412 11.15793412 1.275E-11 1.96 <-- DIS + 131 11.15793412 11.15793412 1.190E-11 1.98 <-- DIS + 132 11.15793412 11.15793412 1.110E-11 1.99 <-- DIS + 133 11.15793412 11.15793412 1.035E-11 2.01 <-- DIS + 134 11.15793412 11.15793412 9.646E-12 2.02 <-- DIS + 135 11.15793412 11.15793412 8.982E-12 2.04 <-- DIS + 136 11.15793412 11.15793412 8.363E-12 2.05 <-- DIS + 137 11.15793412 11.15793412 7.780E-12 2.07 <-- DIS + 138 11.15793412 11.15793412 7.235E-12 2.08 <-- DIS + 139 11.15793412 11.15793412 6.729E-12 2.10 <-- DIS + 140 11.15793412 11.15793412 6.253E-12 2.11 <-- DIS + 141 11.15793412 11.15793412 5.810E-12 2.12 <-- DIS + 142 11.15793412 11.15793412 5.397E-12 2.14 <-- DIS + 143 11.15793412 11.15793412 5.008E-12 2.16 <-- DIS + 144 11.15793412 11.15793412 4.649E-12 2.17 <-- DIS + 145 11.15793412 11.15793412 4.314E-12 2.18 <-- DIS + 146 11.15793412 11.15793412 4.002E-12 2.20 <-- DIS + 147 11.15793412 11.15793412 3.712E-12 2.21 <-- DIS + 148 11.15793412 11.15793412 3.440E-12 2.23 <-- DIS + 149 11.15793412 11.15793412 3.191E-12 2.24 <-- DIS + 150 11.15793412 11.15793412 2.956E-12 2.26 <-- DIS + 151 11.15793412 11.15793412 2.738E-12 2.27 <-- DIS + 152 11.15793412 11.15793412 2.538E-12 2.29 <-- DIS + 153 11.15793412 11.15793412 2.349E-12 2.30 <-- DIS + 154 11.15793412 11.15793412 2.175E-12 2.32 <-- DIS + 155 11.15793412 11.15793412 2.013E-12 2.33 <-- DIS + 156 11.15793412 11.15793412 1.867E-12 2.35 <-- DIS + 157 11.15793412 11.15793412 1.725E-12 2.36 <-- DIS + 158 11.15793412 11.15793412 1.596E-12 2.38 <-- DIS + 159 11.15793412 11.15793412 1.477E-12 2.40 <-- DIS + 160 11.15793412 11.15793412 1.367E-12 2.41 <-- DIS + 161 11.15793412 11.15793412 1.264E-12 2.43 <-- DIS + 162 11.15793412 11.15793412 1.169E-12 2.44 <-- DIS + 163 11.15793412 11.15793412 1.081E-12 2.46 <-- DIS + 164 11.15793412 11.15793412 1.002E-12 2.47 <-- DIS + 165 11.15793412 11.15793412 9.222E-13 2.49 <-- DIS + 166 11.15793412 11.15793412 8.562E-13 2.50 <-- DIS + 167 11.15793412 11.15793412 7.898E-13 2.52 <-- DIS + + <<< Delta < 1.000E-12 over 3 iterations >>> + <<< Disentanglement convergence criteria satisfied >>> + + Final Omega_I 11.15793412 (Ang^2) + + +----------------------------------------------------------------------------+ + + Time to disentangle bands 2.564 (sec) + + Writing checkpoint file sro.chk... done + + + *------------------------------- WANNIERISE ---------------------------------* + +--------------------------------------------------------------------+<-- CONV + | Iter Delta Spread RMS Gradient Spread (Ang^2) Time |<-- CONV + +--------------------------------------------------------------------+<-- CONV + + ------------------------------------------------------------------------------ + Initial State + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80279358 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80279358 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57722456 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.18281172 + + 0 0.112E+02 0.0000000000 11.1828117222 2.56 <-- CONV + O_D= 0.0000000 O_OD= 0.0248776 O_TOT= 11.1828117 <-- SPRD + ------------------------------------------------------------------------------ + Cycle: 1 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80133683 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80133683 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57699148 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17966515 + + 1 -0.315E-02 0.0276212437 11.1796651461 2.60 <-- CONV + O_D= 0.0000000 O_OD= 0.0217310 O_TOT= 11.1796651 <-- SPRD + Delta: O_D= 0.1132399E-14 O_OD= -0.3146576E-02 O_TOT= -0.3146576E-02 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 2 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80114232 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80114232 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57691134 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17919598 + + 2 -0.469E-03 0.0149504660 11.1791959809 2.64 <-- CONV + O_D= 0.0000000 O_OD= 0.0212619 O_TOT= 11.1791960 <-- SPRD + Delta: O_D= 0.3433189E-14 O_OD= -0.4691652E-03 O_TOT= -0.4691652E-03 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 3 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80109195 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80109194 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687662 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17906051 + + 3 -0.135E-03 0.0099213975 11.1790605145 2.68 <-- CONV + O_D= 0.0000000 O_OD= 0.0211264 O_TOT= 11.1790605 <-- SPRD + Delta: O_D= -0.2009264E-14 O_OD= -0.1354665E-03 O_TOT= -0.1354665E-03 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 4 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80107766 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80107766 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57686531 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17902063 + + 4 -0.399E-04 0.0058815375 11.1790206252 2.73 <-- CONV + O_D= 0.0000000 O_OD= 0.0210865 O_TOT= 11.1790206 <-- SPRD + Delta: O_D= -0.2455994E-14 O_OD= -0.3988926E-04 O_TOT= -0.3988926E-04 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 5 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80107305 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80107305 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57686508 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17901118 + + 5 -0.944E-05 0.0024533594 11.1790111841 2.77 <-- CONV + O_D= 0.0000000 O_OD= 0.0210771 O_TOT= 11.1790112 <-- SPRD + Delta: O_D= -0.7435123E-16 O_OD= -0.9441101E-05 O_TOT= -0.9441101E-05 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 6 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80107090 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80107090 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57686682 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900862 + + 6 -0.257E-05 0.0013576782 11.1790086163 2.81 <-- CONV + O_D= 0.0000000 O_OD= 0.0210745 O_TOT= 11.1790086 <-- SPRD + Delta: O_D= -0.5708678E-16 O_OD= -0.2567810E-05 O_TOT= -0.2567810E-05 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 7 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80107027 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80107027 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57686734 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900789 + + 7 -0.726E-06 0.0007836278 11.1790078908 2.85 <-- CONV + O_D= 0.0000000 O_OD= 0.0210738 O_TOT= 11.1790079 <-- SPRD + Delta: O_D= -0.1065223E-16 O_OD= -0.7255339E-06 O_TOT= -0.7255339E-06 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 8 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106913 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106913 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57686901 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900726 + + 8 -0.628E-06 0.0005466422 11.1790072631 2.89 <-- CONV + O_D= 0.0000000 O_OD= 0.0210731 O_TOT= 11.1790073 <-- SPRD + Delta: O_D= -0.1748537E-16 O_OD= -0.6276083E-06 O_TOT= -0.6276083E-06 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 9 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106810 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106810 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687069 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900690 + + 9 -0.368E-06 0.0004488961 11.1790068950 2.93 <-- CONV + O_D= 0.0000000 O_OD= 0.0210728 O_TOT= 11.1790069 <-- SPRD + Delta: O_D= -0.1946619E-17 O_OD= -0.3681105E-06 O_TOT= -0.3681105E-06 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 10 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106752 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106752 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687170 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900675 + + 10 -0.147E-06 0.0003236751 11.1790067482 2.98 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.4569410E-17 O_OD= -0.1468678E-06 O_TOT= -0.1468678E-06 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 11 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106728 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106728 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687214 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900670 + + 11 -0.457E-07 0.0001863696 11.1790067025 3.02 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.2238572E-17 O_OD= -0.4569339E-07 O_TOT= -0.4569339E-07 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 12 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106718 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106718 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687232 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 12 -0.114E-07 0.0000893712 11.1790066911 3.06 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= 0.4120038E-19 O_OD= -0.1139127E-07 O_TOT= -0.1139127E-07 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 13 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 13 -0.343E-08 0.0000660007 11.1790066876 3.10 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.5798297E-18 O_OD= -0.3431686E-08 O_TOT= -0.3431685E-08 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 14 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 14 -0.126E-11 0.0000226851 11.1790066876 3.13 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.2024696E-22 O_OD= -0.1263319E-11 O_TOT= -0.1264766E-11 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 15 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 15 -0.236E-11 0.0000226739 11.1790066876 3.15 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.6191742E-22 O_OD= -0.2359713E-11 O_TOT= -0.2359002E-11 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 16 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 16 -0.345E-11 0.0000226525 11.1790066876 3.18 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.1032033E-21 O_OD= -0.3449432E-11 O_TOT= -0.3449685E-11 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 17 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106720 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106720 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687230 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 17 -0.118E-08 0.0000226209 11.1790066865 3.22 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.5006450E-20 O_OD= -0.1177142E-08 O_TOT= -0.1177142E-08 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 18 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106720 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106720 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687230 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 18 -0.941E-12 0.0000157425 11.1790066865 3.24 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.2742460E-22 O_OD= -0.9419687E-12 O_TOT= -0.9414691E-12 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 19 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106720 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106720 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687230 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 19 -0.529E-12 0.0000157403 11.1790066865 3.27 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.8606214E-22 O_OD= -0.5294792E-12 O_TOT= -0.5293543E-12 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 20 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106720 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106720 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687230 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 20 -0.106E-11 0.0000157278 11.1790066865 3.29 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.1714443E-21 O_OD= -0.1056415E-11 O_TOT= -0.1056932E-11 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 21 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106720 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106720 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687230 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 21 -0.158E-11 0.0000157029 11.1790066865 3.32 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.2553330E-21 O_OD= -0.1578362E-11 O_TOT= -0.1577405E-11 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 22 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687230 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 22 -0.309E-09 0.0000156656 11.1790066862 3.36 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= 0.3578557E-19 O_OD= -0.3089558E-09 O_TOT= -0.3089564E-09 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 23 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687230 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 23 -0.551E-12 0.0000160704 11.1790066862 3.39 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.2625125E-21 O_OD= -0.5517392E-12 O_TOT= -0.5506706E-12 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 24 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687230 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 24 -0.110E-11 0.0000160498 11.1790066861 3.41 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.5225136E-21 O_OD= -0.1099211E-11 O_TOT= -0.1099565E-11 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 25 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 25 -0.209E-09 0.0000160085 11.1790066859 3.45 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.5257998E-19 O_OD= -0.2093816E-09 O_TOT= -0.2093827E-09 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 26 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 26 -0.995E-13 0.0000089154 11.1790066859 3.48 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= 0.3458263E-22 O_OD= -0.1006521E-12 O_TOT= -0.9947598E-13 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 27 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 27 -0.272E-12 0.0000089200 11.1790066859 3.51 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.6206595E-22 O_OD= -0.2707071E-12 O_TOT= -0.2717826E-12 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 28 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 28 -0.441E-12 0.0000089157 11.1790066859 3.53 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.1583815E-21 O_OD= -0.4404359E-12 O_TOT= -0.4405365E-12 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 29 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 29 -0.169E-12 0.0000089026 11.1790066859 3.56 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.9602172E-22 O_OD= -0.1696525E-12 O_TOT= -0.1687539E-12 <-- DLTA + ------------------------------------------------------------------------------ + Cycle: 30 + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + 30 -0.338E-12 0.0000088938 11.1790066859 3.58 <-- CONV + O_D= 0.0000000 O_OD= 0.0210726 O_TOT= 11.1790067 <-- SPRD + Delta: O_D= -0.1912159E-21 O_OD= -0.3379311E-12 O_TOT= -0.3375078E-12 <-- DLTA + ------------------------------------------------------------------------------ + + <<< Delta < 1.000E-12 over 5 iterations >>> + <<< Wannierisation convergence criteria satisfied >>> + + Final State + WF centre and spread 1 ( -0.000000, 0.000000, -0.000000 ) 3.80106719 + WF centre and spread 2 ( -0.000000, -0.000000, -0.000000 ) 3.80106719 + WF centre and spread 3 ( -0.000000, -0.000000, 0.000000 ) 3.57687231 + Sum of centres and spreads ( -0.000000, -0.000000, -0.000000 ) 11.17900669 + + Spreads (Ang^2) Omega I = 11.157934122 + ================ Omega D = 0.000000000 + Omega OD = 0.021072564 + Final Spread (Ang^2) Omega Total = 11.179006686 + ------------------------------------------------------------------------------ + Time for wannierise 1.035 (sec) + + Writing checkpoint file sro.chk... done + + *---------------------------------------------------------------------------* + | PLOTTING | + *---------------------------------------------------------------------------* + + + Calculating interpolated band-structure + + Time to calculate interpolated band structure 0.476 (sec) + + Time for plotting 43.421 (sec) + Total Execution Time 54.444 (sec) + + *===========================================================================* + | TIMING INFORMATION | + *===========================================================================* + | Tag Ncalls Time (s)| + |---------------------------------------------------------------------------| + |kmesh: get : 1 6.705| + |overlap: allocate : 1 0.000| + |overlap: read : 1 0.606| + |dis: main : 1 2.564| + |wann: main : 1 1.035| + |plot: main : 1 43.421| + *---------------------------------------------------------------------------* + + All done: wannier90 exiting diff --git a/test/python/w90_optics/sro_hr.dat b/test/python/w90_optics/sro_hr.dat new file mode 100644 index 00000000..c740c522 --- /dev/null +++ b/test/python/w90_optics/sro_hr.dat @@ -0,0 +1,17040 @@ + written on 1Jul2021 at 17:37:25 + 3 + 1879 + 4 4 1 2 1 2 1 2 1 2 1 2 2 1 1 + 2 1 2 2 1 2 1 2 1 2 1 2 1 4 2 + 1 4 1 1 1 2 1 1 1 2 1 1 1 2 2 + 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 + 1 1 1 2 2 1 1 1 2 1 1 1 2 1 1 + 1 2 1 1 1 2 1 2 4 2 1 2 1 1 1 + 4 1 1 1 1 1 2 2 1 1 1 1 1 1 2 + 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 + 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 + 1 1 1 2 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-0.000000 0.000000 + 9 3 6 2 2 0.000000 0.000000 + 9 3 6 3 2 -0.000000 0.000000 + 9 3 6 1 3 0.000000 0.000000 + 9 3 6 2 3 -0.000000 0.000000 + 9 3 6 3 3 0.000000 0.000000 diff --git a/test/python/w90_optics_Sr2RuO4.py b/test/python/w90_optics_Sr2RuO4.py new file mode 100644 index 00000000..2495459f --- /dev/null +++ b/test/python/w90_optics_Sr2RuO4.py @@ -0,0 +1,70 @@ +#!/bin/python3 +import numpy as np + +import triqs.utility.mpi as mpi +from h5 import HDFArchive +from triqs.gf import MeshReFreq + +from triqs_dft_tools.sumk_dft import SumkDFT +from triqs_dft_tools.sumk_dft_transport import transport_distribution, init_spectroscopy, conductivity_and_seebeck, write_output_to_hdf +from triqs_dft_tools.converters.wannier90 import Wannier90Converter + +kx = 5 +seedname = 'sro' +w90_params = {'seedname': 'w90_optics/'+seedname, 'nk_optics': [kx, kx, kx]} +n_wf = 3 + +# ----------------- set-up sum_k ----------------------- + +Converter = Wannier90Converter(seedname=w90_params['seedname'], rot_mat_type='wannier', bloch_basis=False) +Converter.convert_dft_input() + +# add group 'dft_transp_input' and some other stuff in 'dft_misc_input' needed for transport +h5_archive = ''.join([w90_params['seedname'], '.h5']) +if mpi.is_master_node(): + with HDFArchive(h5_archive, 'a') as ar: + band_window = np.array([(1, n_wf) for k in range(ar['dft_input']['kpts'].shape[0])]) + band_window_optics = np.array([(1, n_wf) for k in range(ar['dft_input']['kpts'].shape[0])]) + for group_name, group_prop in [('band_window', [band_window]), ('rot_symmetries', [np.eye(3)]), ('n_symmetries', 1)]: + ar['dft_misc_input'].create_group(group_name) + ar['dft_misc_input'][group_name] = group_prop + # dft_transp_input + ar.create_group('dft_transp_input') + ar['dft_transp_input'].create_group('band_window_optics') + ar['dft_transp_input']['band_window_optics'] = [band_window_optics] + +# create SumK object +window = (-4., 4.) +n_w = 1001 +beta = 40 +mu = 11.369 +w_mesh = MeshReFreq(window=window, n_w=n_w) +sum_k = SumkDFT(h5_archive, use_dft_blocks=False, mesh=w_mesh) + +# ----------------- create Sigma / set into sum_k ----------------------- + +sigma_freq = [sum_k.block_structure.create_gf(ish=iineq, mesh=w_mesh) for iineq in range(sum_k.n_inequiv_shells)] + +# Sigma const +eta_sigma = 0.01 +for block, gf in sigma_freq[0]: + gf << - eta_sigma * 1j + +sum_k.set_mu(mu) +sum_k.set_Sigma(sigma_freq) + +# ----------------- compute optical properties ----------------------- + +Om_mesh = [0.0, 0.2] +eta_lattice = 0.001 +directions = ['xx'] + +sum_k, cell_volume = init_spectroscopy(sum_k, code='wannier90', w90_params=w90_params) + +Gamma_w, omega, Om_mesh = transport_distribution(sum_k, directions=directions, + Om_mesh=Om_mesh, energy_window=window, + with_Sigma=True, broadening=eta_lattice, + beta=beta, code='wannier90', cell_volume=cell_volume) + +if mpi.is_master_node(): + optic_cond, seebeck, kappa = conductivity_and_seebeck(Gamma_w, omega, Om_mesh, sum_k.SP, directions, beta=beta, method=None)

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