diff --git a/examples/NCSX_vv_Anderson/regcoil_out.NCSX_vv_Anderson.reference.nc b/examples/NCSX_vv_Anderson/regcoil_out.NCSX_vv_Anderson.reference.nc
index 73b67fa..c10c74d 100644
Binary files a/examples/NCSX_vv_Anderson/regcoil_out.NCSX_vv_Anderson.reference.nc and b/examples/NCSX_vv_Anderson/regcoil_out.NCSX_vv_Anderson.reference.nc differ
diff --git a/examples/NCSX_vv_Picard/regcoil_out.NCSX_vv_Picard.reference.nc b/examples/NCSX_vv_Picard/regcoil_out.NCSX_vv_Picard.reference.nc
index 9ca749f..64b04d8 100644
Binary files a/examples/NCSX_vv_Picard/regcoil_out.NCSX_vv_Picard.reference.nc and b/examples/NCSX_vv_Picard/regcoil_out.NCSX_vv_Picard.reference.nc differ
diff --git a/regcoilPlot b/regcoilPlot
index 38cc180..9267af2 100755
--- a/regcoilPlot
+++ b/regcoilPlot
@@ -11,14 +11,14 @@ import numpy as np
 from scipy.io import netcdf
 from scipy.interpolate import interp1d
 import sys
-import math
+import os
 
 if len(sys.argv) != 2:
     print "Error! You must specify 1 argument: the regcoil_out.XXX.nc file."
     exit(1)
 
-
-f = netcdf.netcdf_file(sys.argv[1],'r',mmap=False)
+filename = sys.argv[1]
+f = netcdf.netcdf_file(filename,'r',mmap=False)
 nfp = f.variables['nfp'][()]
 ntheta_plasma = f.variables['ntheta_plasma'][()]
 ntheta_coil = f.variables['ntheta_coil'][()]
@@ -178,6 +178,7 @@ for whichPlot in range(4):
 
 plt.tight_layout()
 
+plt.figtext(0.5,0.00,os.path.abspath(filename),ha='center',va='bottom',fontsize=7)
 
 ########################################################
 # Pick the isaved values to show in the 2D plots
@@ -249,6 +250,8 @@ plt.tight_layout()
 plt.subplots_adjust(top=0.95)
 plt.figtext(0.5,0.99,"Blue dots indicate the points that are plotted in later figures",horizontalalignment='center',verticalalignment='top',fontsize='small')
 
+plt.figtext(0.5,0.00,os.path.abspath(filename),ha='center',va='bottom',fontsize=7)
+
 ########################################################
 # Prepare for future plots
 ########################################################
@@ -312,6 +315,7 @@ for js in range(num_abs_M_figures):
     plt.tight_layout()
     plt.subplots_adjust(top=0.94)
     plt.figtext(0.5,0.99,"Magnitude of the magnetization (|M|, [Amperes / meter])"+title_string,horizontalalignment='center',verticalalignment='top',fontsize='small')
+    plt.figtext(0.5,0.00,os.path.abspath(filename),ha='center',va='bottom',fontsize=7)
 
 ########################################################
 # Plot d
@@ -348,6 +352,7 @@ for whichPlot in range(numPlots):
 plt.tight_layout()
 plt.subplots_adjust(top=0.94)
 plt.figtext(0.5,0.99,"Thickness d of the magnetization region [meters].",horizontalalignment='center',verticalalignment='top',fontsize='small')
+plt.figtext(0.5,0.00,os.path.abspath(filename),ha='center',va='bottom',fontsize=7)
 
 ########################################################
 # Plot Bnormal
@@ -384,6 +389,7 @@ plt.tight_layout()
 plt.subplots_adjust(top=0.94)
 plt.figtext(0.5,0.99,"Bnormal [Tesla]",horizontalalignment='center',verticalalignment='top',fontsize='small')
 
+plt.figtext(0.5,0.00,os.path.abspath(filename),ha='center',va='bottom',fontsize=7)
 
 
 ########################################################
diff --git a/regcoil_init_basis_functions.f90 b/regcoil_init_basis_functions.f90
index c2b3980..23d5551 100644
--- a/regcoil_init_basis_functions.f90
+++ b/regcoil_init_basis_functions.f90
@@ -6,7 +6,7 @@ subroutine regcoil_init_basis_functions()
   implicit none
 
   integer :: itheta_coil, izeta_coil
-  integer :: index_coil, imn, iflag
+  integer :: index_coil, imn, iflag, offset
   integer :: tic, toc, countrate
   real(dp) :: angle, sinangle, cosangle
 
@@ -25,13 +25,14 @@ subroutine regcoil_init_basis_functions()
   
   select case (symmetry_option)
   case (1,2)
-     num_basis_functions = mnmax_magnetization + 1
+     num_basis_functions = mnmax_magnetization
   case (3)
-     num_basis_functions = mnmax_magnetization * 2 + 1
+     num_basis_functions = mnmax_magnetization * 2
   case default
      print *,"Error! Invalid setting for symmetry_option:",symmetry_option
      stop
   end select
+  if (include_constant_basis_function) num_basis_functions = num_basis_functions + 1
 
   system_size = 3 * ns_magnetization * num_basis_functions
   
@@ -43,10 +44,14 @@ subroutine regcoil_init_basis_functions()
   allocate(basis_functions_zeta_Z(ntheta_coil*nzeta_coil, num_basis_functions),stat=iflag)
   if (iflag .ne. 0) stop 'regcoil_build_matrices Allocation error 1!'
 
-  ! First basis function is the constant function:
-  ! (For stellarator symmetry, this basis function always has amplitude=0 for the zeta and Z components of M, but we include it in the code anyway just so the zeta and Z blocks have the same size as the R block.)
-  basis_functions_R(:, 1) = 1
-  basis_functions_zeta_Z(:, 1) = 1
+  offset = 0
+  if (include_constant_basis_function) then
+     ! First basis function is the constant function:
+     ! (For stellarator symmetry, this basis function always has amplitude=0 for the zeta and Z components of M, but we include it in the code anyway just so the zeta and Z blocks have the same size as the R block.)
+     basis_functions_R(:, 1) = 1
+     basis_functions_zeta_Z(:, 1) = 1
+     offset = 1
+  end if
 
   ! Remaining basis functions:
   ! These loops could be made faster
@@ -62,8 +67,8 @@ subroutine regcoil_init_basis_functions()
               angle = xm_magnetization(imn)*theta_coil(itheta_coil)-xn_magnetization(imn)*zeta_coil(izeta_coil)
               sinangle = sin(angle)
               cosangle = cos(angle)
-              basis_functions_R(index_coil, imn+1) = sinangle
-              basis_functions_zeta_Z(index_coil, imn+1) = cosangle
+              basis_functions_R(index_coil, imn + offset) = sinangle
+              basis_functions_zeta_Z(index_coil, imn + offset) = cosangle
            end do
         end do
      end do
@@ -78,10 +83,10 @@ subroutine regcoil_init_basis_functions()
               angle = xm_magnetization(imn)*theta_coil(itheta_coil)-xn_magnetization(imn)*zeta_coil(izeta_coil)
               sinangle = sin(angle)
               cosangle = cos(angle)
-              basis_functions_R(index_coil, imn + 1) = sinangle
-              basis_functions_zeta_Z(index_coil, imn + 1) = sinangle
-              basis_functions_R(index_coil, imn + 1 + mnmax_magnetization) = cosangle
-              basis_functions_zeta_Z(index_coil, imn + 1 + mnmax_magnetization) = cosangle
+              basis_functions_R(index_coil, imn + offset) = sinangle
+              basis_functions_zeta_Z(index_coil, imn + offset) = sinangle
+              basis_functions_R(index_coil, imn + offset + mnmax_magnetization) = cosangle
+              basis_functions_zeta_Z(index_coil, imn + offset + mnmax_magnetization) = cosangle
            end do
         end do
      end do
diff --git a/regcoil_update_d.f90 b/regcoil_update_d.f90
index de25d9c..9c7ffaf 100644
--- a/regcoil_update_d.f90
+++ b/regcoil_update_d.f90
@@ -35,45 +35,47 @@ subroutine regcoil_update_d(jd,isaved)
   end if
 
   ! Fourier-filter d. First we transform from real to Fourier space:
+  if (filter_d) then
 !!$  print *,"d before filtering:"
 !!$  do j=1,ntheta_coil
 !!$     print "(*(f7.4))",d(j,:)
 !!$  end do
-  d0 = sum(d)/(ntheta_coil*nzeta_coil)
-  dmnc=0
-  dmns=0
-  factor = (2.0d+0) / (ntheta_coil * nzeta_coil)
-  do izeta = 1, nzeta_coil
-     do itheta = 1, ntheta_coil
-        do j = 1, mnmax_magnetization
-           angle = xm_magnetization(j) * theta_coil(itheta) - xn_magnetization(j) * zeta_coil(izeta)
-           sinangle = sin(angle)
-           cosangle = cos(angle)
-           factor2 = factor
-           ! The next 2 lines ensure inverse Fourier transform(Fourier transform) = identity
-           if (mod(ntheta_coil,2) == 0 .and.     xm_magnetization(j)  ==    (ntheta_coil/2)) factor2 = factor2 / 2
-           if (mod( nzeta_coil,2) == 0 .and. abs(xn_magnetization(j)) == nfp*(nzeta_coil/2)) factor2 = factor2 / 2
-           dmnc(j) = dmnc(j) + d(itheta, izeta) * cosangle * factor2
-           dmns(j) = dmns(j) + d(itheta, izeta) * sinangle * factor2
+     d0 = sum(d)/(ntheta_coil*nzeta_coil)
+     dmnc=0
+     dmns=0
+     factor = (2.0d+0) / (ntheta_coil * nzeta_coil)
+     do izeta = 1, nzeta_coil
+        do itheta = 1, ntheta_coil
+           do j = 1, mnmax_magnetization
+              angle = xm_magnetization(j) * theta_coil(itheta) - xn_magnetization(j) * zeta_coil(izeta)
+              sinangle = sin(angle)
+              cosangle = cos(angle)
+              factor2 = factor
+              ! The next 2 lines ensure inverse Fourier transform(Fourier transform) = identity
+              if (mod(ntheta_coil,2) == 0 .and.     xm_magnetization(j)  ==    (ntheta_coil/2)) factor2 = factor2 / 2
+              if (mod( nzeta_coil,2) == 0 .and. abs(xn_magnetization(j)) == nfp*(nzeta_coil/2)) factor2 = factor2 / 2
+              dmnc(j) = dmnc(j) + d(itheta, izeta) * cosangle * factor2
+              dmns(j) = dmns(j) + d(itheta, izeta) * sinangle * factor2
+           end do
         end do
      end do
-  end do
-  ! Now inverse transform:
-  d = d0
-  do izeta = 1, nzeta_coil
-     do itheta = 1, ntheta_coil
-        do j = 1, mnmax_magnetization
-           angle = xm_magnetization(j)*theta_coil(itheta)-xn_magnetization(j)*zeta_coil(izeta)
-           sinangle = sin(angle)
-           cosangle = cos(angle)
-           d(itheta,izeta) = d(itheta,izeta) + dmnc(j)*cosangle + dmns(j)*sinangle
+     ! Now inverse transform:
+     d = d0
+     do izeta = 1, nzeta_coil
+        do itheta = 1, ntheta_coil
+           do j = 1, mnmax_magnetization
+              angle = xm_magnetization(j)*theta_coil(itheta)-xn_magnetization(j)*zeta_coil(izeta)
+              sinangle = sin(angle)
+              cosangle = cos(angle)
+              d(itheta,izeta) = d(itheta,izeta) + dmnc(j)*cosangle + dmns(j)*sinangle
+           end do
         end do
      end do
-  end do
 !!$  print *,"d after filtering:"
 !!$  do j=1,ntheta_coil
 !!$     print "(*(f7.4))",d(j,:)
 !!$  end do
+  end if
 
   ! Take a mixture of the new and old depths:
   d = Picard_alpha * d + (1 - Picard_alpha) * last_d
diff --git a/regcoil_variables.f90 b/regcoil_variables.f90
index 4cc497c..434cb6a 100644
--- a/regcoil_variables.f90
+++ b/regcoil_variables.f90
@@ -161,6 +161,8 @@ module regcoil_variables
   integer :: regularization_d_exponent = 1
   real(dp) :: d0
   real(dp), dimension(:), allocatable :: dmnc, dmns
+  logical :: filter_d = .true.
+  logical :: include_constant_basis_function = .true.
 
   integer, parameter :: max_nports = 10
   integer :: nports
@@ -184,7 +186,8 @@ module regcoil_variables
        d_option, nd, target_mu0_M, Anderson_depth, Anderson_alpha, Picard_alpha, min_d, &
        write_mgrid, mgrid_ir, mgrid_jz, mgrid_kp, mgrid_rmin, mgrid_rmax, mgrid_zmin, mgrid_zmax, &
        include_bnormal_from_TF, net_poloidal_current_Amperes, regularization_d_exponent, &
-       ports_theta0, ports_zeta0, ports_theta_width, ports_zeta_width, ports_sharpness, ports_magnitude
+       ports_theta0, ports_zeta0, ports_theta_width, ports_zeta_width, ports_sharpness, ports_magnitude, &
+       filter_d, include_constant_basis_function
 
 end module regcoil_variables