[petsc-users] Errors with KSP solver

Hien HN- hoangnhanhien at gmail.com
Sun Nov 1 23:26:45 CST 2020


Dear PETSc developers,



*I have used KSP solver to solve a linear equation system in parallel with
5 processors.*



*The linear system consists of a pressure matrix (pressure_coeff_mat) and
its RHS (p_coeff_mat) whose values are set every time step using
MatSetValue and VecSetValues functions and then assembled using:*

   call MatAssemblyBegin(pressure_coeff_mat,mat_final_assembly,petsc_err)

   call MatAssemblyEnd(pressure_coeff_mat,mat_final_assembly,petsc_err)

   call VecAssemblyBegin(p_coeff_rhs,petsc_err)

   call VecAssemblyEnd(p_coeff_rhs,petsc_err)





*One processor solves this linear system using KSBCGS Krylov solver with
ILU preconditioner, and the result is scattered to all processors*

  call KSPGetPC(petsc_ksp,petsc_pc,petsc_err)

   if (preconditioner==0) then

      call PCSetType(petsc_pc,PCJACOBI,petsc_err

      call
PetscOptionsSetValue(PETSC_NULL_OPTIONS,"sub_ksp_type","preonly",petsc_err)

      call
PetscOptionsSetValue(PETSC_NULL_OPTIONS,"sub_pc_type","ilu",petsc_err)

      call PCSetFromOptions(petsc_pc,petsc_err)

   else

      call PCSetType(petsc_pc,PCBJACOBI,petsc_err)

   end if

   call KSPSetFromOptions(petsc_ksp,petsc_err)

   call KSPSetUp(petsc_ksp,petsc_err)

   call KSPSolve(petsc_ksp,p_coeff_rhs,petsc_solution,petsc_err)

   call VecScatterCreateToAll(petsc_solution,ctx,sol_to_all,petsc_err)

   call
VecScatterBegin(ctx,petsc_solution,sol_to_all,INSERT_VALUES,SCATTER_FORWARD,petsc_err)

   call VecScatterEnd(ctx,petsc_solution,sol_to_all,
INSERT_VALUES,SCATTER_FORWARD,petsc_err)

   call VecGetValues(sol_to_all,ncells, loc_id_to_global-1,sol, petsc_err)

   call VecScatterDestroy(ctx,petsc_err)

   call VecDestroy(sol_to_all,petsc_err)





*However, I got the following errors with vector scattering, i.e.,
VecScatterBegin, VecScatterEnd, and also VecGetValues. I have checked the
pressure matrix, its RHS, and the solution for the first call of KSPSolve.
Their values seem to be okay (see attached file). So, could you please tell
me what does this error mean and how can I fix it.*



*Thank you,*



*Error message:*

-----------------------------------------------------------------------------

Configure options --with-cc="win32fe cl" --with-fc="win32fe ifort"
--with-cxx="win32fe cl"
--with-blaslapack-lib="[/cygdrive/c/PROGRA~2/Intel/COMPOS~1/mkl/lib/ia32/mkl_intel_c_dll.lib,/cygdrive/c/PROGRA~2/Intel/COMPOS~1/mkl/lib/ia32/mkl_sequential_dll.lib,/cygdrive/c/PROGRA~2/Intel/COMPOS~1/mkl/lib/ia32/mkl_core_dll.lib]"
--with-mpi-lib="[/cygdrive/c/PROGRA~2/MICROS~1/MPI/Lib/x86/msmpifec.lib,/cygdrive/c/PROGRA~2/MICROS~1/MPI/Lib/x86/msmpi.lib]"
--with-mpi-include="[/cygdrive/c/PROGRA~2/MICROS~1/MPI/Include,/cygdrive/c/PROGRA~2/MICROS~1/MPI/Include/x86]"
--with-mpiexec=/cygdrive/c/PROGRA~1/MI564C~1/bin/mpiexec.exe
--with-debugging=1 --with-shared-libraries=0 --CFLAGS=-Od --FFLAGS=-Od
CXXFLAGS=-Od --with-clean=1

#4930 VecScatterBegin() line 83 in
C:\petsc\PE4D24~1.13-\src\vec\vscat\INTERF~1\vscatfce.c

[1]PETSC ERROR:

[2]PETSC ERROR:

[3]PETSC ERROR:

[0]PETSC ERROR:

[4]PETSC ERROR:

#4930 VecScatterBegin() line 83 in
C:\petsc\PE4D24~1.13-\src\vec\vscat\INTERF~1\vscatfce.c

#4930 VecScatterBegin() line 83 in
C:\petsc\PE4D24~1.13-\src\vec\vscat\INTERF~1\vscatfce.c

#4930 VecScatterBegin() line 83 in
C:\petsc\PE4D24~1.13-\src\vec\vscat\INTERF~1\vscatfce.c

#4930 VecScatterBegin() line 83 in
C:\petsc\PE4D24~1.13-\src\vec\vscat\INTERF~1\vscatfce.c

--------------------- Error Message
--------------------------------------------------------------

[1]PETSC ERROR:

[2]PETSC ERROR:

[3]PETSC ERROR:

[0]PETSC ERROR:

[4]PETSC ERROR:

--------------------- Error Message
--------------------------------------------------------------

--------------------- Error Message
--------------------------------------------------------------

--------------------- Error Message
--------------------------------------------------------------

--------------------- Error Message
--------------------------------------------------------------

Null argument, when expecting valid pointer

[1]PETSC ERROR:

[2]PETSC ERROR:

[3]PETSC ERROR:

[0]PETSC ERROR:

[4]PETSC ERROR:

Null argument, when expecting valid pointer

Null argument, when expecting valid pointer

Null argument, when expecting valid pointer

Null argument, when expecting valid pointer

Null Object: Parameter # 3

[1]PETSC ERROR:

[2]PETSC ERROR:

[3]PETSC ERROR:

[0]PETSC ERROR:

[4]PETSC ERROR:

Null Object: Parameter # 3

Null Object: Parameter # 3

Null Object: Parameter # 3

Null Object: Parameter # 3

-- 
Hoang Nhan Hien, Ph.D.

1) Nuclear Safety Department, Institute for Nuclear Science and Technology,
Vietnam Atomic Energy Insitute

2) Nuclear Safety Analysis Method Development, Enviroment & Energy
Technology, Inc.

Email: hoangnhanhien at gmail.com; h <hnhien at kaeri.re.kr>ien at en2t.com
Phone: +81-10-2635-2411
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-------------- next part --------------
Mat Object: 5 MPI processes
  type: mpiaij
row 0: (0, -4.66151e-06)  (1, 1.764e-08)  (4, 1.764e-08)  (16, 1.10757e-09) 
row 1: (0, 9.78524e-09)  (1, -4.6602e-06)  (2, 8.16997e-09)  (5, 1.60166e-08)  (17, 1.10757e-09) 
row 2: (1, 8.16997e-09)  (2, -4.6602e-06)  (3, 9.78524e-09)  (6, 1.60166e-08)  (18, 1.10757e-09) 
row 3: (2, 1.764e-08)  (3, -4.66151e-06)  (7, 1.764e-08)  (19, 1.10757e-09) 
row 4: (0, 9.78524e-09)  (4, -4.6602e-06)  (5, 1.60166e-08)  (8, 8.16997e-09)  (20, 1.10757e-09) 
row 5: (1, 1.01701e-08)  (4, 1.01701e-08)  (5, -4.65573e-06)  (6, 4.57936e-09)  (9, 4.57936e-09)  (21, 1.10757e-09) 
row 6: (2, 1.01701e-08)  (5, 4.57936e-09)  (6, -4.65573e-06)  (7, 1.01701e-08)  (10, 4.57936e-09)  (22, 1.10757e-09) 
row 7: (3, 9.78524e-09)  (6, 1.60166e-08)  (7, -4.6602e-06)  (11, 8.16997e-09)  (23, 1.10757e-09) 
row 8: (4, 8.16997e-09)  (8, -4.65786e-06)  (9, 1.60166e-08)  (12, 7.44519e-09)  (24, 1.10757e-09) 
row 9: (5, 4.57936e-09)  (8, 1.01701e-08)  (9, -4.65381e-06)  (10, 4.57936e-09)  (13, 8.24565e-09)  (25, 1.10757e-09) 
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row 1913: (1904, 1.14322e-09)  (1910, 6.49478e-09)  (1912, 8.17235e-09)  (1913, -4.65513e-06)  (1914, 8.45874e-09)  (1922, 1.15732e-09)  (3066, 6.49478e-09) 
row 1914: (1905, 1.14323e-09)  (1911, 1.01658e-08)  (1913, 1.01658e-08)  (1914, -4.65479e-06)  (1923, 1.15732e-09)  (2485, 4.47516e-09)  (3067, 4.47516e-09) 
row 1915: (717, 8.24809e-09)  (1450, 8.24809e-09)  (1906, 5.56657e-10)  (1915, -4.6498e-06)  (1916, 4.58072e-09)  (1918, 4.58072e-09)  (1924, 4.12201e-10) 
row 1916: (718, 8.24809e-09)  (1907, 5.56657e-10)  (1915, 4.58072e-09)  (1916, -4.6498e-06)  (1917, 8.24809e-09)  (1919, 4.58072e-09)  (1925, 4.12201e-10) 
row 1917: (719, 8.45878e-09)  (1908, 5.56658e-10)  (1916, 6.49482e-09)  (1917, -4.65376e-06)  (1920, 8.17239e-09)  (1926, 4.12202e-10)  (2491, 6.49482e-09) 
row 1918: (1454, 8.24809e-09)  (1909, 5.56657e-10)  (1915, 4.58072e-09)  (1918, -4.6498e-06)  (1919, 4.58072e-09)  (1921, 8.24809e-09)  (1927, 4.12201e-10) 
row 1919: (1910, 5.56657e-10)  (1916, 4.58072e-09)  (1918, 4.58072e-09)  (1919, -4.6498e-06)  (1920, 8.24809e-09)  (1922, 8.24809e-09)  (1928, 4.12201e-10) 
row 1920: (1911, 5.56658e-10)  (1917, 8.17239e-09)  (1919, 6.49482e-09)  (1920, -4.65376e-06)  (1923, 8.45878e-09)  (1929, 4.12202e-10)  (2494, 6.49482e-09) 
row 1921: (1458, 8.45878e-09)  (1912, 5.56658e-10)  (1918, 6.49482e-09)  (1921, -4.65376e-06)  (1922, 8.17239e-09)  (1930, 4.12202e-10)  (3077, 6.49482e-09) 
row 1922: (1913, 5.56658e-10)  (1919, 6.49482e-09)  (1921, 8.17239e-09)  (1922, -4.65376e-06)  (1923, 8.45878e-09)  (1931, 4.12202e-10)  (3078, 6.49482e-09) 
row 1923: (1914, 5.56659e-10)  (1920, 1.01659e-08)  (1922, 1.01659e-08)  (1923, -4.65342e-06)  (1932, 4.12202e-10)  (2497, 4.47518e-09)  (3079, 4.47518e-09) 
row 1924: (733, 8.24815e-09)  (1465, 8.24815e-09)  (1915, 4.12204e-10)  (1924, -4.64961e-06)  (1925, 4.58075e-09)  (1927, 4.58075e-09)  (1933, 4.12204e-10) 
row 1925: (734, 8.24815e-09)  (1916, 4.12204e-10)  (1924, 4.58075e-09)  (1925, -4.64961e-06)  (1926, 8.24815e-09)  (1928, 4.58075e-09)  (1934, 4.12204e-10) 
row 1926: (735, 8.45884e-09)  (1917, 4.12205e-10)  (1925, 6.49486e-09)  (1926, -4.65357e-06)  (1929, 8.17245e-09)  (1935, 4.12205e-10)  (2503, 6.49486e-09) 
row 1927: (1469, 8.24815e-09)  (1918, 4.12204e-10)  (1924, 4.58075e-09)  (1927, -4.64961e-06)  (1928, 4.58075e-09)  (1930, 8.24815e-09)  (1936, 4.12204e-10) 
row 1928: (1919, 4.12204e-10)  (1925, 4.58075e-09)  (1927, 4.58075e-09)  (1928, -4.64961e-06)  (1929, 8.24815e-09)  (1931, 8.24815e-09)  (1937, 4.12204e-10) 
row 1929: (1920, 4.12205e-10)  (1926, 8.17245e-09)  (1928, 6.49486e-09)  (1929, -4.65357e-06)  (1932, 8.45884e-09)  (1938, 4.12205e-10)  (2506, 6.49486e-09) 
row 1930: (1473, 8.45884e-09)  (1921, 4.12205e-10)  (1927, 6.49486e-09)  (1930, -4.65357e-06)  (1931, 8.17245e-09)  (1939, 4.12205e-10)  (3089, 6.49486e-09) 
row 1931: (1922, 4.12205e-10)  (1928, 6.49486e-09)  (1930, 8.17245e-09)  (1931, -4.65357e-06)  (1932, 8.45884e-09)  (1940, 4.12205e-10)  (3090, 6.49486e-09) 
row 1932: (1923, 4.12205e-10)  (1929, 1.01659e-08)  (1931, 1.01659e-08)  (1932, -4.65323e-06)  (1941, 4.12205e-10)  (2509, 4.47522e-09)  (3091, 4.47522e-09) 
row 1933: (749, 8.24821e-09)  (1480, 8.24821e-09)  (1924, 4.12207e-10)  (1933, -4.64956e-06)  (1934, 4.58078e-09)  (1936, 4.58078e-09)  (1942, 4.12207e-10) 
row 1934: (750, 8.24821e-09)  (1925, 4.12207e-10)  (1933, 4.58078e-09)  (1934, -4.64956e-06)  (1935, 8.24821e-09)  (1937, 4.58078e-09)  (1943, 4.12207e-10) 
row 1935: (751, 8.4589e-09)  (1926, 4.12208e-10)  (1934, 6.49491e-09)  (1935, -4.65353e-06)  (1938, 8.17251e-09)  (1944, 4.12208e-10)  (2515, 6.49491e-09) 
row 1936: (1484, 8.24821e-09)  (1927, 4.12207e-10)  (1933, 4.58078e-09)  (1936, -4.64956e-06)  (1937, 4.58078e-09)  (1939, 8.24821e-09)  (1945, 4.12207e-10) 
row 1937: (1928, 4.12207e-10)  (1934, 4.58078e-09)  (1936, 4.58078e-09)  (1937, -4.64956e-06)  (1938, 8.24821e-09)  (1940, 8.24821e-09)  (1946, 4.12207e-10) 
row 1938: (1929, 4.12208e-10)  (1935, 8.17251e-09)  (1937, 6.49491e-09)  (1938, -4.65353e-06)  (1941, 8.4589e-09)  (1947, 4.12208e-10)  (2518, 6.49491e-09) 
row 1939: (1488, 8.4589e-09)  (1930, 4.12208e-10)  (1936, 6.49491e-09)  (1939, -4.65353e-06)  (1940, 8.17251e-09)  (1948, 4.12208e-10)  (3101, 6.49491e-09) 
row 1940: (1931, 4.12208e-10)  (1937, 6.49491e-09)  (1939, 8.17251e-09)  (1940, -4.65353e-06)  (1941, 8.4589e-09)  (1949, 4.12208e-10)  (3102, 6.49491e-09) 
row 1941: (1932, 4.12208e-10)  (1938, 1.0166e-08)  (1940, 1.0166e-08)  (1941, -4.65319e-06)  (1950, 4.12208e-10)  (2521, 4.47525e-09)  (3103, 4.47525e-09) 
row 1942: (765, 8.24827e-09)  (1495, 8.24827e-09)  (1933, 4.1221e-10)  (1942, -4.64952e-06)  (1943, 4.58082e-09)  (1945, 4.58082e-09)  (1951, 4.1221e-10) 
row 1943: (766, 8.24827e-09)  (1934, 4.1221e-10)  (1942, 4.58082e-09)  (1943, -4.64952e-06)  (1944, 8.24827e-09)  (1946, 4.58082e-09)  (1952, 4.1221e-10) 
row 1944: (767, 8.45896e-09)  (1935, 4.12211e-10)  (1943, 6.49496e-09)  (1944, -4.65348e-06)  (1947, 8.17257e-09)  (1953, 4.12211e-10)  (2527, 6.49496e-09) 
row 1945: (1499, 8.24827e-09)  (1936, 4.1221e-10)  (1942, 4.58082e-09)  (1945, -4.64952e-06)  (1946, 4.58082e-09)  (1948, 8.24827e-09)  (1954, 4.1221e-10) 
row 1946: (1937, 4.1221e-10)  (1943, 4.58082e-09)  (1945, 4.58082e-09)  (1946, -4.64952e-06)  (1947, 8.24827e-09)  (1949, 8.24827e-09)  (1955, 4.1221e-10) 
row 1947: (1938, 4.12211e-10)  (1944, 8.17257e-09)  (1946, 6.49496e-09)  (1947, -4.65348e-06)  (1950, 8.45896e-09)  (1956, 4.12211e-10)  (2530, 6.49496e-09) 
row 1948: (1503, 8.45896e-09)  (1939, 4.12211e-10)  (1945, 6.49496e-09)  (1948, -4.65348e-06)  (1949, 8.17257e-09)  (1957, 4.12211e-10)  (3113, 6.49496e-09) 
row 1949: (1940, 4.12211e-10)  (1946, 6.49496e-09)  (1948, 8.17257e-09)  (1949, -4.65348e-06)  (1950, 8.45896e-09)  (1958, 4.12211e-10)  (3114, 6.49496e-09) 
row 1950: (1941, 4.12211e-10)  (1947, 1.01661e-08)  (1949, 1.01661e-08)  (1950, -4.65314e-06)  (1959, 4.12211e-10)  (2533, 4.47528e-09)  (3115, 4.47528e-09) 
row 1951: (781, 8.24833e-09)  (1510, 8.24833e-09)  (1942, 4.12213e-10)  (1951, -4.64947e-06)  (1952, 4.58085e-09)  (1954, 4.58085e-09) 
row 1952: (782, 8.24833e-09)  (1943, 4.12213e-10)  (1951, 4.58085e-09)  (1952, -4.64947e-06)  (1953, 8.24833e-09)  (1955, 4.58085e-09) 
row 1953: (783, 8.45902e-09)  (1944, 4.12214e-10)  (1952, 6.495e-09)  (1953, -4.65343e-06)  (1956, 8.17263e-09)  (2539, 6.495e-09) 
row 1954: (1514, 8.24833e-09)  (1945, 4.12213e-10)  (1951, 4.58085e-09)  (1954, -4.64947e-06)  (1955, 4.58085e-09)  (1957, 8.24833e-09) 
row 1955: (1946, 4.12213e-10)  (1952, 4.58085e-09)  (1954, 4.58085e-09)  (1955, -4.64947e-06)  (1956, 8.24833e-09)  (1958, 8.24833e-09) 
row 1956: (1947, 4.12214e-10)  (1953, 8.17263e-09)  (1955, 6.495e-09)  (1956, -4.65343e-06)  (1959, 8.45902e-09)  (2542, 6.495e-09) 
row 1957: (1518, 8.45902e-09)  (1948, 4.12214e-10)  (1954, 6.495e-09)  (1957, -4.65343e-06)  (1958, 8.17263e-09)  (3125, 6.495e-09) 
row 1958: (1949, 4.12214e-10)  (1955, 6.495e-09)  (1957, 8.17263e-09)  (1958, -4.65343e-06)  (1959, 8.45902e-09)  (3126, 6.495e-09) 
row 1959: (1950, 4.12214e-10)  (1956, 1.01662e-08)  (1958, 1.01662e-08)  (1959, -4.65309e-06)  (2545, 4.47531e-09)  (3127, 4.47531e-09) 
row 1960: (15, 7.44519e-09)  (1960, -4.65786e-06)  (1961, 8.16997e-09)  (1963, 1.60166e-08)  (1972, 1.10757e-09) 
row 1961: (1960, 8.16997e-09)  (1961, -4.6602e-06)  (1962, 9.78524e-09)  (1964, 1.60166e-08)  (1973, 1.10757e-09) 
row 1962: (1961, 1.764e-08)  (1962, -4.66151e-06)  (1965, 1.764e-08)  (1974, 1.10757e-09) 
row 1963: (1521, 8.24565e-09)  (1960, 1.01701e-08)  (1963, -4.65381e-06)  (1964, 4.57936e-09)  (1966, 4.57936e-09)  (1975, 1.10757e-09) 
row 1964: (1961, 1.01701e-08)  (1963, 4.57936e-09)  (1964, -4.65573e-06)  (1965, 1.01701e-08)  (1967, 4.57936e-09)  (1976, 1.10757e-09) 
row 1965: (1962, 9.78524e-09)  (1964, 1.60166e-08)  (1965, -4.6602e-06)  (1968, 8.16997e-09)  (1977, 1.10757e-09) 
row 1966: (1524, 8.24565e-09)  (1963, 4.57936e-09)  (1966, -4.65381e-06)  (1967, 4.57936e-09)  (1969, 1.01701e-08)  (1978, 1.10757e-09) 
row 1967: (1964, 4.57936e-09)  (1966, 4.57936e-09)  (1967, -4.65573e-06)  (1968, 1.01701e-08)  (1970, 1.01701e-08)  (1979, 1.10757e-09) 
row 1968: (1965, 8.16997e-09)  (1967, 1.60166e-08)  (1968, -4.6602e-06)  (1971, 9.78524e-09)  (1980, 1.10757e-09) 
row 1969: (1527, 7.44519e-09)  (1966, 1.60166e-08)  (1969, -4.65786e-06)  (1970, 8.16997e-09)  (1981, 1.10757e-09) 
row 1970: (1967, 1.60166e-08)  (1969, 8.16997e-09)  (1970, -4.6602e-06)  (1971, 9.78524e-09)  (1982, 1.10757e-09) 
row 1971: (1968, 1.764e-08)  (1970, 1.764e-08)  (1971, -4.66151e-06)  (1983, 1.10757e-09) 
row 1972: (31, 7.44523e-09)  (1960, 5.21484e-10)  (1972, -4.65763e-06)  (1973, 8.17002e-09)  (1975, 1.60167e-08)  (1984, 3.83508e-10) 
row 1973: (1961, 5.21484e-10)  (1972, 8.17002e-09)  (1973, -4.65997e-06)  (1974, 9.78529e-09)  (1976, 1.60167e-08)  (1985, 3.83508e-10) 
row 1974: (1962, 5.21484e-10)  (1973, 1.76401e-08)  (1974, -4.66127e-06)  (1977, 1.76401e-08)  (1986, 3.83508e-10) 
row 1975: (1530, 8.2457e-09)  (1963, 5.21483e-10)  (1972, 1.01702e-08)  (1975, -4.65357e-06)  (1976, 4.57939e-09)  (1978, 4.57939e-09)  (1987, 3.83507e-10) 
row 1976: (1964, 5.21483e-10)  (1973, 1.01702e-08)  (1975, 4.57939e-09)  (1976, -4.65549e-06)  (1977, 1.01702e-08)  (1979, 4.57939e-09)  (1988, 3.83507e-10) 
row 1977: (1965, 5.21484e-10)  (1974, 9.78529e-09)  (1976, 1.60167e-08)  (1977, -4.65997e-06)  (1980, 8.17002e-09)  (1989, 3.83508e-10) 
row 1978: (1533, 8.2457e-09)  (1966, 5.21483e-10)  (1975, 4.57939e-09)  (1978, -4.65357e-06)  (1979, 4.57939e-09)  (1981, 1.01702e-08)  (1990, 3.83507e-10) 
row 1979: (1967, 5.21483e-10)  (1976, 4.57939e-09)  (1978, 4.57939e-09)  (1979, -4.65549e-06)  (1980, 1.01702e-08)  (1982, 1.01702e-08)  (1991, 3.83507e-10) 
row 1980: (1968, 5.21484e-10)  (1977, 8.17002e-09)  (1979, 1.60167e-08)  (1980, -4.65997e-06)  (1983, 9.78529e-09)  (1992, 3.83508e-10) 
row 1981: (1536, 7.44523e-09)  (1969, 5.21484e-10)  (1978, 1.60167e-08)  (1981, -4.65763e-06)  (1982, 8.17002e-09)  (1993, 3.83508e-10) 
row 1982: (1970, 5.21484e-10)  (1979, 1.60167e-08)  (1981, 8.17002e-09)  (1982, -4.65997e-06)  (1983, 9.78529e-09)  (1994, 3.83508e-10) 
row 1983: (1971, 5.21484e-10)  (1980, 1.76401e-08)  (1982, 1.76401e-08)  (1983, -4.66127e-06)  (1995, 3.83508e-10) 
row 1984: (47, 7.44529e-09)  (1972, 3.8351e-10)  (1984, -4.65744e-06)  (1985, 8.17008e-09)  (1987, 1.60168e-08)  (1996, 3.8351e-10) 
row 1985: (1973, 3.8351e-10)  (1984, 8.17008e-09)  (1985, -4.65978e-06)  (1986, 9.78536e-09)  (1988, 1.60168e-08)  (1997, 3.8351e-10) 
row 1986: (1974, 3.83511e-10)  (1985, 1.76402e-08)  (1986, -4.66109e-06)  (1989, 1.76402e-08)  (1998, 3.83511e-10) 
row 1987: (1539, 8.24576e-09)  (1975, 3.8351e-10)  (1984, 1.01702e-08)  (1987, -4.65338e-06)  (1988, 4.57942e-09)  (1990, 4.57942e-09)  (1999, 3.8351e-10) 
row 1988: (1976, 3.8351e-10)  (1985, 1.01702e-08)  (1987, 4.57942e-09)  (1988, -4.65531e-06)  (1989, 1.01702e-08)  (1991, 4.57942e-09)  (2000, 3.8351e-10) 
row 1989: (1977, 3.8351e-10)  (1986, 9.78536e-09)  (1988, 1.60168e-08)  (1989, -4.65978e-06)  (1992, 8.17008e-09)  (2001, 3.8351e-10) 
row 1990: (1542, 8.24576e-09)  (1978, 3.8351e-10)  (1987, 4.57942e-09)  (1990, -4.65338e-06)  (1991, 4.57942e-09)  (1993, 1.01702e-08)  (2002, 3.8351e-10) 
row 1991: (1979, 3.8351e-10)  (1988, 4.57942e-09)  (1990, 4.57942e-09)  (1991, -4.65531e-06)  (1992, 1.01702e-08)  (1994, 1.01702e-08)  (2003, 3.8351e-10) 
row 1992: (1980, 3.8351e-10)  (1989, 8.17008e-09)  (1991, 1.60168e-08)  (1992, -4.65978e-06)  (1995, 9.78536e-09)  (2004, 3.8351e-10) 
row 1993: (1545, 7.44529e-09)  (1981, 3.8351e-10)  (1990, 1.60168e-08)  (1993, -4.65744e-06)  (1994, 8.17008e-09)  (2005, 3.8351e-10) 
row 1994: (1982, 3.8351e-10)  (1991, 1.60168e-08)  (1993, 8.17008e-09)  (1994, -4.65978e-06)  (1995, 9.78536e-09)  (2006, 3.8351e-10) 
row 1995: (1983, 3.83511e-10)  (1992, 1.76402e-08)  (1994, 1.76402e-08)  (1995, -4.66109e-06)  (2007, 3.83511e-10) 
row 1996: (63, 7.44534e-09)  (1984, 3.83513e-10)  (1996, -4.65739e-06)  (1997, 8.17014e-09)  (1999, 1.60169e-08)  (2008, 3.8349e-10) 
row 1997: (1985, 3.83513e-10)  (1996, 8.17014e-09)  (1997, -4.65973e-06)  (1998, 9.78543e-09)  (2000, 1.60169e-08)  (2009, 3.8349e-10) 
row 1998: (1986, 3.83514e-10)  (1997, 1.76404e-08)  (1998, -4.66104e-06)  (2001, 1.76404e-08)  (2010, 3.8349e-10) 
row 1999: (1548, 8.24582e-09)  (1987, 3.83512e-10)  (1996, 1.01703e-08)  (1999, -4.65333e-06)  (2000, 4.57946e-09)  (2002, 4.57946e-09)  (2011, 3.83489e-10) 
row 2000: (1988, 3.83512e-10)  (1997, 1.01703e-08)  (1999, 4.57946e-09)  (2000, -4.65526e-06)  (2001, 1.01703e-08)  (2003, 4.57946e-09)  (2012, 3.83489e-10) 
row 2001: (1989, 3.83513e-10)  (1998, 9.78543e-09)  (2000, 1.60169e-08)  (2001, -4.65973e-06)  (2004, 8.17014e-09)  (2013, 3.8349e-10) 
row 2002: (1551, 8.24582e-09)  (1990, 3.83512e-10)  (1999, 4.57946e-09)  (2002, -4.65333e-06)  (2003, 4.57946e-09)  (2005, 1.01703e-08)  (2014, 3.83489e-10) 
row 2003: (1991, 3.83512e-10)  (2000, 4.57946e-09)  (2002, 4.57946e-09)  (2003, -4.65526e-06)  (2004, 1.01703e-08)  (2006, 1.01703e-08)  (2015, 3.83489e-10) 
row 2004: (1992, 3.83513e-10)  (2001, 8.17014e-09)  (2003, 1.60169e-08)  (2004, -4.65973e-06)  (2007, 9.78543e-09)  (2016, 3.8349e-10) 
row 2005: (1554, 7.44534e-09)  (1993, 3.83513e-10)  (2002, 1.60169e-08)  (2005, -4.65739e-06)  (2006, 8.17014e-09)  (2017, 3.8349e-10) 
row 2006: (1994, 3.83513e-10)  (2003, 1.60169e-08)  (2005, 8.17014e-09)  (2006, -4.65973e-06)  (2007, 9.78543e-09)  (2018, 3.8349e-10) 
row 2007: (1995, 3.83514e-10)  (2004, 1.76404e-08)  (2006, 1.76404e-08)  (2007, -4.66104e-06)  (2019, 3.8349e-10) 
row 2008: (79, 7.4454e-09)  (1996, 3.83446e-10)  (2008, -4.65734e-06)  (2009, 8.1702e-09)  (2011, 1.6017e-08)  (2020, 3.83446e-10) 
row 2009: (1997, 3.83446e-10)  (2008, 8.1702e-09)  (2009, -4.65968e-06)  (2010, 9.78551e-09)  (2012, 1.6017e-08)  (2021, 3.83446e-10) 
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row 3104: (3092, 4.12208e-10)  (3100, 8.17251e-09)  (3104, -4.65789e-06)  (3105, 1.60215e-08)  (3108, 9.78827e-09)  (3116, 4.12208e-10) 
row 3105: (3093, 4.12207e-10)  (3101, 4.58078e-09)  (3104, 1.01733e-08)  (3105, -4.65341e-06)  (3106, 4.58078e-09)  (3109, 1.01733e-08)  (3117, 4.12207e-10) 
row 3106: (3094, 4.12207e-10)  (3102, 4.58078e-09)  (3105, 4.58078e-09)  (3106, -4.65341e-06)  (3107, 1.01733e-08)  (3110, 1.01733e-08)  (3118, 4.12207e-10) 
row 3107: (3095, 4.12208e-10)  (3103, 8.17251e-09)  (3106, 1.60215e-08)  (3107, -4.65789e-06)  (3111, 9.78827e-09)  (3119, 4.12208e-10) 
row 3108: (3096, 4.12208e-10)  (3104, 1.76455e-08)  (3108, -4.6592e-06)  (3109, 1.76455e-08)  (3120, 4.12208e-10) 
row 3109: (3097, 4.12208e-10)  (3105, 1.60215e-08)  (3108, 9.78827e-09)  (3109, -4.65789e-06)  (3110, 8.17251e-09)  (3121, 4.12208e-10) 
row 3110: (3098, 4.12208e-10)  (3106, 1.60215e-08)  (3109, 8.17251e-09)  (3110, -4.65789e-06)  (3111, 9.78827e-09)  (3122, 4.12208e-10) 
row 3111: (3099, 4.12208e-10)  (3107, 1.76455e-08)  (3110, 1.76455e-08)  (3111, -4.6592e-06)  (3123, 4.12208e-10) 
row 3112: (1503, 7.44755e-09)  (3100, 4.12211e-10)  (3112, -4.6555e-06)  (3113, 1.60216e-08)  (3116, 8.17257e-09)  (3124, 4.12211e-10) 
row 3113: (1948, 8.24827e-09)  (3101, 4.1221e-10)  (3112, 1.01733e-08)  (3113, -4.65144e-06)  (3114, 4.58082e-09)  (3117, 4.58082e-09)  (3125, 4.1221e-10) 
row 3114: (1949, 8.24827e-09)  (3102, 4.1221e-10)  (3113, 4.58082e-09)  (3114, -4.65144e-06)  (3115, 1.01733e-08)  (3118, 4.58082e-09)  (3126, 4.1221e-10) 
row 3115: (1950, 7.44755e-09)  (3103, 4.12211e-10)  (3114, 1.60216e-08)  (3115, -4.6555e-06)  (3119, 8.17257e-09)  (3127, 4.12211e-10) 
row 3116: (3104, 4.12211e-10)  (3112, 8.17257e-09)  (3116, -4.65784e-06)  (3117, 1.60216e-08)  (3120, 9.78834e-09)  (3128, 4.12211e-10) 
row 3117: (3105, 4.1221e-10)  (3113, 4.58082e-09)  (3116, 1.01733e-08)  (3117, -4.65337e-06)  (3118, 4.58082e-09)  (3121, 1.01733e-08)  (3129, 4.1221e-10) 
row 3118: (3106, 4.1221e-10)  (3114, 4.58082e-09)  (3117, 4.58082e-09)  (3118, -4.65337e-06)  (3119, 1.01733e-08)  (3122, 1.01733e-08)  (3130, 4.1221e-10) 
row 3119: (3107, 4.12211e-10)  (3115, 8.17257e-09)  (3118, 1.60216e-08)  (3119, -4.65784e-06)  (3123, 9.78834e-09)  (3131, 4.12211e-10) 
row 3120: (3108, 4.12211e-10)  (3116, 1.76456e-08)  (3120, -4.65915e-06)  (3121, 1.76456e-08)  (3132, 4.12211e-10) 
row 3121: (3109, 4.12211e-10)  (3117, 1.60216e-08)  (3120, 9.78834e-09)  (3121, -4.65784e-06)  (3122, 8.17257e-09)  (3133, 4.12211e-10) 
row 3122: (3110, 4.12211e-10)  (3118, 1.60216e-08)  (3121, 8.17257e-09)  (3122, -4.65784e-06)  (3123, 9.78834e-09)  (3134, 4.12211e-10) 
row 3123: (3111, 4.12211e-10)  (3119, 1.76456e-08)  (3122, 1.76456e-08)  (3123, -4.65915e-06)  (3135, 4.12211e-10) 
row 3124: (1518, 7.44761e-09)  (3112, 4.12214e-10)  (3124, -4.65545e-06)  (3125, 1.60218e-08)  (3128, 8.17263e-09) 
row 3125: (1957, 8.24833e-09)  (3113, 4.12213e-10)  (3124, 1.01734e-08)  (3125, -4.65139e-06)  (3126, 4.58085e-09)  (3129, 4.58085e-09) 
row 3126: (1958, 8.24833e-09)  (3114, 4.12213e-10)  (3125, 4.58085e-09)  (3126, -4.65139e-06)  (3127, 1.01734e-08)  (3130, 4.58085e-09) 
row 3127: (1959, 7.44761e-09)  (3115, 4.12214e-10)  (3126, 1.60218e-08)  (3127, -4.65545e-06)  (3131, 8.17263e-09) 
row 3128: (3116, 4.12214e-10)  (3124, 8.17263e-09)  (3128, -4.65779e-06)  (3129, 1.60218e-08)  (3132, 9.78841e-09) 
row 3129: (3117, 4.12213e-10)  (3125, 4.58085e-09)  (3128, 1.01734e-08)  (3129, -4.65332e-06)  (3130, 4.58085e-09)  (3133, 1.01734e-08) 
row 3130: (3118, 4.12213e-10)  (3126, 4.58085e-09)  (3129, 4.58085e-09)  (3130, -4.65332e-06)  (3131, 1.01734e-08)  (3134, 1.01734e-08) 
row 3131: (3119, 4.12214e-10)  (3127, 8.17263e-09)  (3130, 1.60218e-08)  (3131, -4.65779e-06)  (3135, 9.78841e-09) 
row 3132: (3120, 4.12214e-10)  (3128, 1.76457e-08)  (3132, -4.6591e-06)  (3133, 1.76457e-08) 
row 3133: (3121, 4.12214e-10)  (3129, 1.60218e-08)  (3132, 9.78841e-09)  (3133, -4.65779e-06)  (3134, 8.17263e-09) 
row 3134: (3122, 4.12214e-10)  (3130, 1.60218e-08)  (3133, 8.17263e-09)  (3134, -4.65779e-06)  (3135, 9.78841e-09) 
row 3135: (3123, 4.12214e-10)  (3131, 1.76457e-08)  (3134, 1.76457e-08)  (3135, -4.6591e-06) 
Vec Object: 5 MPI processes
  type: mpi
Process [0]
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Process [1]
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Process [2]
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Process [3]
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Process [4]
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