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Convergence Testing For NaAlH4

1. K-mesh testing

K: 1 3 5 7 9 for the same ecut_wfc 46 ecut_rho 221

===================================================================================
K 1 ecut_wfc 46 ecut_rho 221
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000   -0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000   -0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    5 type  3   force =     0.00465788   -0.00683290    0.00295604
     atom    6 type  3   force =    -0.00465788    0.00683290   -0.00295604
     atom    7 type  3   force =    -0.00683290   -0.00465788    0.00295604
     atom    8 type  3   force =     0.00683290    0.00465788   -0.00295604
     atom    9 type  3   force =    -0.00465788    0.00683290    0.00295604
     atom   10 type  3   force =    -0.00683290   -0.00465788   -0.00295604
     atom   11 type  3   force =     0.00683290    0.00465788    0.00295604
     atom   12 type  3   force =     0.00465788   -0.00683290   -0.00295604
Total force:
0.024839
Stress and pressure (Ry/bohr**3) (kbar)
   0.00035788  -0.00000000   0.00000000           52.65       -0.00        0.00
   0.00000000   0.00035788   0.00000000            0.00       52.65        0.00
   0.00000000   0.00000000  -0.00002046            0.00        0.00       -3.01
===================================================================================
K 3 ecut_wfc 46 ecut_rho 221
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000   -0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000   -0.00000000
     atom    5 type  3   force =     0.00202733    0.00299689   -0.00278010
     atom    6 type  3   force =    -0.00202733   -0.00299689    0.00278010
     atom    7 type  3   force =     0.00299689   -0.00202733   -0.00278010
     atom    8 type  3   force =    -0.00299689    0.00202733    0.00278010
     atom    9 type  3   force =    -0.00202733   -0.00299689   -0.00278010
     atom   10 type  3   force =     0.00299689   -0.00202733    0.00278010
     atom   11 type  3   force =    -0.00299689    0.00202733   -0.00278010
     atom   12 type  3   force =     0.00202733    0.00299689    0.00278010
Total force:
0.012906
Stress and pressure (Ry/bohr**3) (kbar)
   0.00009040   0.00000000   0.00000000           13.30        0.00        0.00
  -0.00000000   0.00009040   0.00000000           -0.00       13.30        0.00
   0.00000000   0.00000000   0.00007604            0.00        0.00       11.19
===================================================================================
K 5 ecut_wfc 46 ecut_rho 221
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000   -0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000   -0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    5 type  3   force =     0.00220320    0.00293187   -0.00266601
     atom    6 type  3   force =    -0.00220320   -0.00293187    0.00266601
     atom    7 type  3   force =     0.00293187   -0.00220320   -0.00266601
     atom    8 type  3   force =    -0.00293187    0.00220320    0.00266601
     atom    9 type  3   force =    -0.00220320   -0.00293187   -0.00266601
     atom   10 type  3   force =     0.00293187   -0.00220320    0.00266601
     atom   11 type  3   force =    -0.00293187    0.00220320   -0.00266601
     atom   12 type  3   force =     0.00220320    0.00293187    0.00266601
Total force:
0.012824
Stress and pressure (Ry/bohr**3) (kbar)
   0.00008699   0.00000000   0.00000000           12.80        0.00        0.00
  -0.00000000   0.00008699   0.00000000           -0.00       12.80        0.00
   0.00000000   0.00000000   0.00008446            0.00        0.00       12.42
===================================================================================
K 7 ecut_wfc 46 ecut_rho 221
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    5 type  3   force =     0.00208148    0.00296586   -0.00270244
     atom    6 type  3   force =    -0.00208148   -0.00296586    0.00270244
     atom    7 type  3   force =     0.00296586   -0.00208148   -0.00270244
     atom    8 type  3   force =    -0.00296586    0.00208148    0.00270244
     atom    9 type  3   force =    -0.00208148   -0.00296586   -0.00270244
     atom   10 type  3   force =     0.00296586   -0.00208148    0.00270244
     atom   11 type  3   force =    -0.00296586    0.00208148   -0.00270244
     atom   12 type  3   force =     0.00208148    0.00296586    0.00270244
Total force:
0.012785
Stress and pressure (Ry/bohr**3) (kbar)
   0.00008841   0.00000000  -0.00000000           13.00        0.00       -0.00
  -0.00000000   0.00008841   0.00000000           -0.00       13.00        0.00
   0.00000000   0.00000000   0.00008162            0.00        0.00       12.01
===================================================================================
K 9 ecut_wfc 46 ecut_rho 221
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000   -0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000   -0.00000000
     atom    5 type  3   force =     0.00208422    0.00297367   -0.00271435
     atom    6 type  3   force =    -0.00208422   -0.00297367    0.00271435
     atom    7 type  3   force =     0.00297367   -0.00208422   -0.00271435
     atom    8 type  3   force =    -0.00297367    0.00208422    0.00271435
     atom    9 type  3   force =    -0.00208422   -0.00297367   -0.00271435
     atom   10 type  3   force =     0.00297367   -0.00208422    0.00271435
     atom   11 type  3   force =    -0.00297367    0.00208422   -0.00271435
     atom   12 type  3   force =     0.00208422    0.00297367    0.00271435
Total force:
0.012823
Stress and pressure (Ry/bohr**3) (kbar)
   0.00008838  -0.00000000   0.00000000           13.00       -0.00        0.00
   0.00000000   0.00008838   0.00000000            0.00       13.00        0.00
   0.00000000  -0.00000000   0.00008150            0.00       -0.00       11.99

**For the testing K=5 is converged, we choose K=7 for better precision. **

2. Ecutwfc tesing

Fix K = 7, then test Ecutwfc = 40, 60, 80. Ecutrho = Factor*Ecutwfc (Fix Factor=5)

===================================================================================
K 7 ecut_wfc 40 ecut_rho 200
Start run ${testType} ...
The command took 126 seconds to run.
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    5 type  3   force =     0.00211754    0.00303026   -0.00276055
     atom    6 type  3   force =    -0.00211754   -0.00303026    0.00276055
     atom    7 type  3   force =     0.00303026   -0.00211754   -0.00276055
     atom    8 type  3   force =    -0.00303026    0.00211754    0.00276055
     atom    9 type  3   force =    -0.00211754   -0.00303026   -0.00276055
     atom   10 type  3   force =     0.00303026   -0.00211754    0.00276055
     atom   11 type  3   force =    -0.00303026    0.00211754   -0.00276055
     atom   12 type  3   force =     0.00211754    0.00303026    0.00276055
Total force:
0.013050
Stress and pressure (Ry/bohr**3) (kbar)
   0.00008116   0.00000000   0.00000000           11.94        0.00        0.00
  -0.00000000   0.00008116   0.00000000           -0.00       11.94        0.00
   0.00000000   0.00000000   0.00007430            0.00        0.00       10.93
===================================================================================
K 7 ecut_wfc 60 ecut_rho 300
Start run ${testType} ...
The command took 254 seconds to run.
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000   -0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000   -0.00000000
     atom    5 type  3   force =     0.00206287    0.00294774   -0.00268093
     atom    6 type  3   force =    -0.00206287   -0.00294774    0.00268093
     atom    7 type  3   force =     0.00294774   -0.00206287   -0.00268093
     atom    8 type  3   force =    -0.00294774    0.00206287    0.00268093
     atom    9 type  3   force =    -0.00206287   -0.00294774   -0.00268093
     atom   10 type  3   force =     0.00294774   -0.00206287    0.00268093
     atom   11 type  3   force =    -0.00294774    0.00206287   -0.00268093
     atom   12 type  3   force =     0.00206287    0.00294774    0.00268093
Total force:
0.012691
Stress and pressure (Ry/bohr**3) (kbar)
   0.00009592  -0.00000000   0.00000000           14.11       -0.00        0.00
   0.00000000   0.00009592   0.00000000            0.00       14.11        0.00
   0.00000000   0.00000000   0.00008913            0.00        0.00       13.11
===================================================================================
K 7 ecut_wfc 80 ecut_rho 400
Start run ${testType} ...
The command took 419 seconds to run.
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000   -0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    5 type  3   force =     0.00206234    0.00294808   -0.00267958
     atom    6 type  3   force =    -0.00206234   -0.00294808    0.00267958
     atom    7 type  3   force =     0.00294808   -0.00206234   -0.00267958
     atom    8 type  3   force =    -0.00294808    0.00206234    0.00267958
     atom    9 type  3   force =    -0.00206234   -0.00294808   -0.00267958
     atom   10 type  3   force =     0.00294808   -0.00206234    0.00267958
     atom   11 type  3   force =    -0.00294808    0.00206234   -0.00267958
     atom   12 type  3   force =     0.00206234    0.00294808    0.00267958
Total force:
0.012688
Stress and pressure (Ry/bohr**3) (kbar)
   0.00009601   0.00000000   0.00000000           14.12        0.00        0.00
  -0.00000000   0.00009601   0.00000000           -0.00       14.12        0.00
   0.00000000   0.00000000   0.00008924            0.00        0.00       13.13

**Ecutwfc > 40 and Ecutwfc <=60 is a good range. ** We choose 50

3. Factor testing

Fix Ecutwfc = 50, tesing Factor in Ecutrho = Factor*Ecutwfc. Factor = 1 2 3 4 5 6

===================================================================================
K 7 ecut_wfc 50 ecut_rho 50
Start run ${testType} ...
Abort(1) on node 0 (rank 0 in comm 0): application called MPI_Abort(MPI_COMM_WORLD, 1) - process 0
The command took 1 seconds to run.
Forces on each atoms (Ry/au)

Total force:

Stress and pressure (Ry/bohr**3) (kbar)

===================================================================================
K 7 ecut_wfc 50 ecut_rho 100
Start run ${testType} ...
The command took 130 seconds to run.
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000   -0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000   -0.00000000
     atom    5 type  3   force =     0.00190117    0.00285859   -0.00243711
     atom    6 type  3   force =    -0.00190117   -0.00285859    0.00243711
     atom    7 type  3   force =     0.00285859   -0.00190117   -0.00243711
     atom    8 type  3   force =    -0.00285859    0.00190117    0.00243711
     atom    9 type  3   force =    -0.00190117   -0.00285859   -0.00243711
     atom   10 type  3   force =     0.00285859   -0.00190117    0.00243711
     atom   11 type  3   force =    -0.00285859    0.00190117   -0.00243711
     atom   12 type  3   force =     0.00190117    0.00285859    0.00243711
Total force:
0.011908
Stress and pressure (Ry/bohr**3) (kbar)
   0.00011647  -0.00000000   0.00000000           17.13       -0.00        0.00
   0.00000000   0.00011647   0.00000000            0.00       17.13        0.00
   0.00000000   0.00000000   0.00010870            0.00        0.00       15.99
===================================================================================
K 7 ecut_wfc 50 ecut_rho 150
Start run ${testType} ...
The command took 186 seconds to run.
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    5 type  3   force =     0.00206815    0.00293557   -0.00267582
     atom    6 type  3   force =    -0.00206815   -0.00293557    0.00267582
     atom    7 type  3   force =     0.00293557   -0.00206815   -0.00267582
     atom    8 type  3   force =    -0.00293557    0.00206815    0.00267582
     atom    9 type  3   force =    -0.00206815   -0.00293557   -0.00267582
     atom   10 type  3   force =     0.00293557   -0.00206815    0.00267582
     atom   11 type  3   force =    -0.00293557    0.00206815   -0.00267582
     atom   12 type  3   force =     0.00206815    0.00293557    0.00267582
Total force:
0.012666
Stress and pressure (Ry/bohr**3) (kbar)
   0.00009525  -0.00000000   0.00000000           14.01       -0.00        0.00
   0.00000000   0.00009525   0.00000000            0.00       14.01        0.00
   0.00000000   0.00000000   0.00008829            0.00        0.00       12.99
===================================================================================
K 7 ecut_wfc 50 ecut_rho 200
Start run ${testType} ...
The command took 222 seconds to run.
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000   -0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000   -0.00000000
     atom    5 type  3   force =     0.00207208    0.00295440   -0.00269240
     atom    6 type  3   force =    -0.00207208   -0.00295440    0.00269240
     atom    7 type  3   force =     0.00295440   -0.00207208   -0.00269240
     atom    8 type  3   force =    -0.00295440    0.00207208    0.00269240
     atom    9 type  3   force =    -0.00207208   -0.00295440   -0.00269240
     atom   10 type  3   force =     0.00295440   -0.00207208    0.00269240
     atom   11 type  3   force =    -0.00295440    0.00207208   -0.00269240
     atom   12 type  3   force =     0.00207208    0.00295440    0.00269240
Total force:
0.012735
Stress and pressure (Ry/bohr**3) (kbar)
   0.00009250   0.00000000   0.00000000           13.61        0.00        0.00
  -0.00000000   0.00009250   0.00000000           -0.00       13.61        0.00
   0.00000000   0.00000000   0.00008571            0.00        0.00       12.61
===================================================================================
K 7 ecut_wfc 50 ecut_rho 250
Start run ${testType} ...
The command took 262 seconds to run.
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000   -0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000   -0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    5 type  3   force =     0.00207130    0.00295292   -0.00269076
     atom    6 type  3   force =    -0.00207130   -0.00295292    0.00269076
     atom    7 type  3   force =     0.00295292   -0.00207130   -0.00269076
     atom    8 type  3   force =    -0.00295292    0.00207130    0.00269076
     atom    9 type  3   force =    -0.00207130   -0.00295292   -0.00269076
     atom   10 type  3   force =     0.00295292   -0.00207130    0.00269076
     atom   11 type  3   force =    -0.00295292    0.00207130   -0.00269076
     atom   12 type  3   force =     0.00207130    0.00295292    0.00269076
Total force:
0.012728
Stress and pressure (Ry/bohr**3) (kbar)
   0.00009235   0.00000000   0.00000000           13.59        0.00        0.00
  -0.00000000   0.00009235   0.00000000           -0.00       13.59        0.00
   0.00000000   0.00000000   0.00008555            0.00        0.00       12.58
===================================================================================
K 7 ecut_wfc 50 ecut_rho 300
Start run ${testType} ...
The command took 252 seconds to run.
Forces on each atoms (Ry/au)
     atom    1 type  2   force =     0.00000000    0.00000000   -0.00000000
     atom    2 type  2   force =     0.00000000    0.00000000    0.00000000
     atom    3 type  1   force =     0.00000000    0.00000000   -0.00000000
     atom    4 type  1   force =     0.00000000    0.00000000   -0.00000000
     atom    5 type  3   force =     0.00207105    0.00295436   -0.00269165
     atom    6 type  3   force =    -0.00207105   -0.00295436    0.00269165
     atom    7 type  3   force =     0.00295436   -0.00207105   -0.00269165
     atom    8 type  3   force =    -0.00295436    0.00207105    0.00269165
     atom    9 type  3   force =    -0.00207105   -0.00295436   -0.00269165
     atom   10 type  3   force =     0.00295436   -0.00207105    0.00269165
     atom   11 type  3   force =    -0.00295436    0.00207105   -0.00269165
     atom   12 type  3   force =     0.00207105    0.00295436    0.00269165
Total force:
0.012732
Stress and pressure (Ry/bohr**3) (kbar)
   0.00009231  -0.00000000   0.00000000           13.58       -0.00        0.00
   0.00000000   0.00009231   0.00000000            0.00       13.58        0.00
   0.00000000   0.00000000   0.00008550            0.00        0.00       12.58

**Factor = 1 not work. Factor >=4 is okey. ** We choose 5.

Workflow to do the testing

#for K in 1 3 5 7 9 
#for K in 1 3 5 7 9 
for K in 7 
do
    #for wfc in 40 60 80 100 120
    for wfc in 50
    # for wfc in 46
    do
	    #for rho in 220 240 260 280 300 320 
	    #for rho in 221
	    for factor in 1 2 3 4 5 6 7 8
        do
            rho=$((factor * wfc))
            testType=NaAlH4.K${K}_wfc${wfc}_rho${rho}
            testType=NaAlH4.K${K}_wfc${wfc}_rho${rho}
            echo "==================================================================================="
            # echo ${testType}.in
            echo "K ${K} ecut_wfc ${wfc} ecut_rho ${rho}"
            # In macOS the grammar is different 
            sed "s/KVALUE/${K}/g" NaAlH4.temp | sed "s/ECUTWFC/${wfc}/g" | sed "s/ECUTRHO/${rho}/g" > ${testType}.in
            start_time=$(date +%s)
            echo 'Start run ${testType} ...'
            pw.x -input ${testType}.in > ${testType}.out
            end_time=$(date +%s)
            runtime=$((end_time-start_time))
            echo "The command took $runtime seconds to run."

            # Extract forces for each atoms
            forces=$(awk '/Forces acting on atoms/ {getline; getline; print; getline; print; getline; print; getline; print; getline; print; getline; print; getline; print; getline; print; getline; print; getline; print; getline; print; getline; print; getline; print}' ${testType}.out)


            # Extract Total force
            total_force=$(awk '/Total force/ {print $4}' ${testType}.out)


            # Extract stress tensor values
            stress_values=$(awk '/total   stress/ {getline; print; getline; print; getline; print}' ${testType}.out)

	          echo "Forces on each atoms (Ry/au)"
            echo "$forces"
            echo "Total force:"
            echo "$total_force"
	          echo "Stress and pressure (Ry/bohr**3) (kbar)"
            echo "$stress_values"
        done
    done
done

NaAlH4.temp

&CONTROL
 calculation='scf',
 outdir='.',
 prefix='NaAlH4',
 pseudo_dir='.',
 verbosity='low',
 tprnfor=.true.,
 tstress=.true.,
/



&SYSTEM
  ibrav = 0
  A =    4.94110
  nat = 12
  ntyp = 3
  ecutwfc = ECUTWFC,
  ecutrho = ECUTRHO,
  input_dft='pbe',
  occupations='smearing',
  smearing='mv',
  degauss=0.005d0,
/

&ELECTRONS
 conv_thr=1d-08,
 mixing_beta=0.7d0,
/



CELL_PARAMETERS {alat}
  1.000000000000000   0.000000000000000   0.000000000000000 
  0.000000000000000   1.000000000000000   0.000000000000000 
  0.500000000000000   0.500000000000000   1.112056363080577 
ATOMIC_SPECIES
  Na   22.98900  na_pbe_v1.5.uspp.F.UPF
  Al   26.98100  Al.pbe-n-kjpaw_psl.1.0.0.UPF
   H    1.00750  H.pbe-rrkjus_psl.1.0.0.UPF
ATOMIC_POSITIONS {crystal}
Al   0.500000000000000   0.500000000000000   0.000000000000000 
Al   0.250000000000000   0.750000000000000   0.500000000000000 
Na   0.000000000000000   0.000000000000000   0.000000000000000 
Na   0.750000000000000   0.250000000000000   0.500000000000000 
 H   0.723208340000000   0.817509120000000   0.837955420000000 
 H   0.026791660000000   0.432490880000000   0.662044580000000 
 H   0.567509120000000   0.688836240000000   0.337955420000000 
 H   0.182490880000000   0.561163760000000   0.162044580000000 
 H   0.438836240000000   0.344535460000000   0.837955420000000 
 H   0.655464540000000   0.276791660000000   0.162044580000000 
 H   0.094535460000000   0.973208340000000   0.337955420000000 
 H   0.311163760000000   0.905464540000000   0.662044580000000 

K_POINTS {automatic}
 KVALUE KVALUE KVALUE  0 0 0

@HuangJiaLian
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Position optimization:

Begin final coordinates

ATOMIC_POSITIONS (crystal)
Rb            0.1813249643        0.2500000000        0.6597073591
Rb            0.3186750357        0.7500000000        0.1597073591
Rb            0.8186750357        0.7500000000        0.3402926409
Rb            0.6813249643        0.2500000000        0.8402926409
Al            0.0618381300        0.2500000000        0.1861778004
Al            0.4381618700        0.7500000000        0.6861778004
Al            0.9381618700        0.7500000000        0.8138221996
Al            0.5618381300        0.2500000000        0.3138221996
H             0.0802314590        0.0226836172        0.3124141145
H             0.4197685410        0.5226836172        0.8124141145
H             0.4197685410        0.9773163828        0.8124141145
H             0.9197685410        0.5226836172        0.6875858855
H             0.9197685410        0.9773163828        0.6875858855
H             0.5802314590        0.4773163828        0.1875858855
H             0.5802314590        0.0226836172        0.1875858855
H             0.0802314590        0.4773163828        0.3124141145
H             0.0981417090        0.7500000000        0.8999306918
H             0.4018582910        0.2500000000        0.3999306918
H             0.9018582910        0.2500000000        0.1000693082
H             0.5981417090        0.7500000000        0.6000693082
H             0.1895211684        0.2500000000        0.0392003185
H             0.3104788316        0.7500000000        0.5392003185
H             0.8104788316        0.7500000000        0.9607996815
H             0.6895211684        0.2500000000        0.4607996815
End final coordinates

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