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PPPK_program_DiM_2021_(v0.1)_pseudoreal

221 days ago by fresl

 

Program DiM 

   

(Displacement Method)


(inačica 0.1)


Muka i jad s „realnim” brojevima  

 

       

 

Primjer

 

       
nodes:
  0: (-3.00000000000000, 0.000000000000000)
  1: (-1.00000000000000, 0.000000000000000)
  2: (0.000000000000000, 0.000000000000000)
  3: (1.00000000000000, 0.000000000000000)
  4: (3.00000000000000, 0.000000000000000)

nodes 2:
  0: (-3.30000000000000, 0.000000000000000)
  1: (-1.10000000000000, 0.000000000000000)
  2: (0.000000000000000, 0.000000000000000)
  3: (1.10000000000000, 0.000000000000000)
  4: (3.30000000000000, 0.000000000000000)

elems:
  0: (0, 1)
  1: (1, 2)
  2: (2, 3)
  3: (3, 4)

characteristics:
  0: (3.00000000000000e7, 0.250000000000000, 0.0625000000000000)

elements <-> chars:
  0: 0
  1: 0
  2: 0
  3: 0

loads:
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000)
  2: (0.000000000000000, -20.0000000000000, 0.000000000000000)
  4: (0.000000000000000, 10.0000000000000, 0.000000000000000)

loads 2:
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000)
  2: (0.000000000000000, -20.0000000596046, 0.000000000000000)
  4: (0.000000000000000, 10.0000000000000, 0.000000000000000)

loads 3:
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000)
  2: (0.000000000000000, -20.0000000149012, 0.000000000000000)
  4: (0.000000000000000, 10.0000000000000, 0.000000000000000)
nodes:
  0: (-3.00000000000000, 0.000000000000000)
  1: (-1.00000000000000, 0.000000000000000)
  2: (0.000000000000000, 0.000000000000000)
  3: (1.00000000000000, 0.000000000000000)
  4: (3.00000000000000, 0.000000000000000)

nodes 2:
  0: (-3.30000000000000, 0.000000000000000)
  1: (-1.10000000000000, 0.000000000000000)
  2: (0.000000000000000, 0.000000000000000)
  3: (1.10000000000000, 0.000000000000000)
  4: (3.30000000000000, 0.000000000000000)

elems:
  0: (0, 1)
  1: (1, 2)
  2: (2, 3)
  3: (3, 4)

characteristics:
  0: (3.00000000000000e7, 0.250000000000000, 0.0625000000000000)

elements <-> chars:
  0: 0
  1: 0
  2: 0
  3: 0

loads:
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000)
  2: (0.000000000000000, -20.0000000000000, 0.000000000000000)
  4: (0.000000000000000, 10.0000000000000, 0.000000000000000)

loads 2:
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000)
  2: (0.000000000000000, -20.0000000596046, 0.000000000000000)
  4: (0.000000000000000, 10.0000000000000, 0.000000000000000)

loads 3:
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000)
  2: (0.000000000000000, -20.0000000149012, 0.000000000000000)
  4: (0.000000000000000, 10.0000000000000, 0.000000000000000)

 

nodes

 

       
  0: (-3.00000000000000, 0.000000000000000)
  1: (-1.00000000000000, 0.000000000000000)
  2: (0.000000000000000, 0.000000000000000)
  3: (1.00000000000000, 0.000000000000000)
  4: (3.00000000000000, 0.000000000000000)
  0: (-3.00000000000000, 0.000000000000000)
  1: (-1.00000000000000, 0.000000000000000)
  2: (0.000000000000000, 0.000000000000000)
  3: (1.00000000000000, 0.000000000000000)
  4: (3.00000000000000, 0.000000000000000)
       
Traceback (click to the left of this block for traceback)
...
ValueError: matrix equation has no solutions
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_6.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("dSwgZiA9IERpTSAobm9kZXMsIGVsZW1zLCB7fSwgY2hhcnMsIGVjaCwgbG9hZHMp"),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpDiecru/___code___.py", line 2, in <module>
    exec compile(u'u, f = DiM (nodes, elems, {}, chars, ech, loads)
  File "", line 1, in <module>
    
  File "/tmp/tmps6uwIQ/___code___.py", line 318, in DiM
    u = nodal_displacements (sk, sf, t)
  File "/tmp/tmps6uwIQ/___code___.py", line 237, in nodal_displacements
    u = sk  * BackslashOperator() * sf
  File "/opt/SageMath/local/lib/python2.7/site-packages/sage/misc/misc.py", line 1173, in __mul__
    return self.left._backslash_(right)
  File "sage/matrix/matrix2.pyx", line 113, in sage.matrix.matrix2.Matrix._backslash_ (build/cythonized/sage/matrix/matrix2.c:5425)
  File "sage/matrix/matrix2.pyx", line 467, in sage.matrix.matrix2.Matrix.solve_right (build/cythonized/sage/matrix/matrix2.c:8036)
  File "sage/matrix/matrix2.pyx", line 583, in sage.matrix.matrix2.Matrix._solve_right_general (build/cythonized/sage/matrix/matrix2.c:9164)
ValueError: matrix equation has no solutions
       
       
  0: (0, 9/62500, 3/62500)
  1: (0, 31/562500, 7/187500)
  2: (0, 3/125000, 3/125000)
  3: (0, 1/140625, 1/93750)
  4: (0, 0, 0)
  0: (0, 9/62500, 3/62500)
  1: (0, 31/562500, 7/187500)
  2: (0, 3/125000, 3/125000)
  3: (0, 1/140625, 1/93750)
  4: (0, 0, 0)
       
  0: (0.000000000000000, 0.000144000000000000, 0.0000480000000000000)
  1: (0.000000000000000, 0.0000551111111111111, 0.0000373333333333333)
  2: (0.000000000000000, 0.0000240000000000000, 0.0000240000000000000)
  3: (0.000000000000000, 7.11111111111111e-6, 0.0000106666666666667)
  4: (0.000000000000000, 0.000000000000000, 0.000000000000000)
  0: (0.000000000000000, 0.000144000000000000, 0.0000480000000000000)
  1: (0.000000000000000, 0.0000551111111111111, 0.0000373333333333333)
  2: (0.000000000000000, 0.0000240000000000000, 0.0000240000000000000)
  3: (0.000000000000000, 7.11111111111111e-6, 0.0000106666666666667)
  4: (0.000000000000000, 0.000000000000000, 0.000000000000000)
       
[(-3.00000000000000, 9/62500),
 (-1.00000000000000, 31/562500),
 (0.000000000000000, 3/125000),
 (1.00000000000000, 1/140625),
 (3.00000000000000, 0)]
[(-3.00000000000000, 9/62500),
 (-1.00000000000000, 31/562500),
 (0.000000000000000, 3/125000),
 (1.00000000000000, 1/140625),
 (3.00000000000000, 0)]
       
       
  0: (0, 10, 0, 0, -10, -20)
  1: (0, 10, 20, 0, -10, -30)
  2: (0, -10, 30, 0, 10, -20)
  3: (0, -10, 20, 0, 10, 0)
  0: (0, 10, 0, 0, -10, -20)
  1: (0, 10, 20, 0, -10, -30)
  2: (0, -10, 30, 0, 10, -20)
  3: (0, -10, 20, 0, 10, 0)
       
3
3
       
       
  0: (0.00, 0.000060, 0.000030)
  1: (0.00, 6.2e-6, 0.000020)
  2: (0.00, -7.3e-6, 6.4e-6)
  3: (0.00, -6.7e-6, -6.9e-6)
  4: (0.00, 0.000021, -0.000018)
  0: (0.00, 0.000060, 0.000030)
  1: (0.00, 6.2e-6, 0.000020)
  2: (0.00, -7.3e-6, 6.4e-6)
  3: (0.00, -6.7e-6, -6.9e-6)
  4: (0.00, 0.000021, -0.000018)
       
  0: (0.00, 10., -0.19, 0.00, -10., -20.)
  1: (0.00, 10., 20., 0.00, -10., -30.)
  2: (0.00, -8.6, 29., 0.00, 8.6, -21.)
  3: (0.00, -10., 20., 0.00, 10., -0.12)
  0: (0.00, 10., -0.19, 0.00, -10., -20.)
  1: (0.00, 10., 20., 0.00, -10., -30.)
  2: (0.00, -8.6, 29., 0.00, 8.6, -21.)
  3: (0.00, -10., 20., 0.00, 10., -0.12)
       
       
       
4
4
       
       
  0: (0.000, 0.0000213, 0.0000174)
  1: (0.000, -6.34e-6, 6.72e-6)
  2: (0.000, -6.83e-6, -6.62e-6)
  3: (0.000, 6.91e-6, -0.0000200)
  4: (0.000, 0.0000610, -0.0000306)
  0: (0.000, 0.0000213, 0.0000174)
  1: (0.000, -6.34e-6, 6.72e-6)
  2: (0.000, -6.83e-6, -6.62e-6)
  3: (0.000, 6.91e-6, -0.0000200)
  4: (0.000, 0.0000610, -0.0000306)
       
  0: (0.000, 9.99, 0.0195, 0.000, -9.99, -20.0)
  1: (0.000, 9.89, 20.1, 0.000, -9.89, -29.9)
  2: (0.000, -10.2, 30.1, 0.000, 10.2, -19.9)
  3: (0.000, -9.97, 20.0, 0.000, 9.97, -0.0156)
  0: (0.000, 9.99, 0.0195, 0.000, -9.99, -20.0)
  1: (0.000, 9.89, 20.1, 0.000, -9.89, -29.9)
  2: (0.000, -10.2, 30.1, 0.000, 10.2, -19.9)
  3: (0.000, -9.97, 20.0, 0.000, 9.97, -0.0156)
       
       
       
4
4
       
4.21441993929574
4.21441993929574
       
3.91338994363176
3.91338994363176
       
Traceback (click to the left of this block for traceback)
...
ValueError: matrix equation has no solutions
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_23.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("dTE0LCBmMTQgPSBEaU0gKG5vZGVzLCBlbGVtcywge30sIGNoYXJzLCBlY2gsIGxvYWRzLCB7fSwgUmVhbEZpZWxkKDE0KSk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpkA9RtF/___code___.py", line 3, in <module>
    exec compile(u'u14, f14 = DiM (nodes, elems, {}, chars, ech, loads, {}, RealField(_sage_const_14 ))
  File "", line 1, in <module>
    
  File "/tmp/tmps6uwIQ/___code___.py", line 318, in DiM
    u = nodal_displacements (sk, sf, t)
  File "/tmp/tmps6uwIQ/___code___.py", line 237, in nodal_displacements
    u = sk  * BackslashOperator() * sf
  File "/opt/SageMath/local/lib/python2.7/site-packages/sage/misc/misc.py", line 1173, in __mul__
    return self.left._backslash_(right)
  File "sage/matrix/matrix2.pyx", line 113, in sage.matrix.matrix2.Matrix._backslash_ (build/cythonized/sage/matrix/matrix2.c:5425)
  File "sage/matrix/matrix2.pyx", line 467, in sage.matrix.matrix2.Matrix.solve_right (build/cythonized/sage/matrix/matrix2.c:8036)
  File "sage/matrix/matrix2.pyx", line 583, in sage.matrix.matrix2.Matrix._solve_right_general (build/cythonized/sage/matrix/matrix2.c:9164)
ValueError: matrix equation has no solutions

 

nodes 2

 

       
  0: (-3.30000000000000, 0.000000000000000)
  1: (-1.10000000000000, 0.000000000000000)
  2: (0.000000000000000, 0.000000000000000)
  3: (1.10000000000000, 0.000000000000000)
  4: (3.30000000000000, 0.000000000000000)
  0: (-3.30000000000000, 0.000000000000000)
  1: (-1.10000000000000, 0.000000000000000)
  2: (0.000000000000000, 0.000000000000000)
  3: (1.10000000000000, 0.000000000000000)
  4: (3.30000000000000, 0.000000000000000)
       
       
  0: (0.000000000000000, 0.0000380440622893685, 0.0000262462354473038)
  1: (0.000000000000000, -0.0000102327668058111, 0.0000133395687806372)
  2: (0.000000000000000, -0.0000166245146867342, -2.79376455269617e-6)
  3: (0.000000000000000, -4.08648478987951e-6, -0.0000189270978860295)
  4: (0.000000000000000, 0.0000564829083371632, -0.0000318337645526962)
  0: (0.000000000000000, 0.0000380440622893685, 0.0000262462354473038)
  1: (0.000000000000000, -0.0000102327668058111, 0.0000133395687806372)
  2: (0.000000000000000, -0.0000166245146867342, -2.79376455269617e-6)
  3: (0.000000000000000, -4.08648478987951e-6, -0.0000189270978860295)
  4: (0.000000000000000, 0.0000564829083371632, -0.0000318337645526962)
       
  0: (0.000000000000000, 10.0000000000000, -3.55271367880050e-14,
0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000002, 21.9999999999999, 0.000000000000000,
-10.0000000000002, -33.0000000000001)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000,
10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -9.99999999999999, 22.0000000000000, 0.000000000000000,
9.99999999999999, 0.000000000000000)
  0: (0.000000000000000, 10.0000000000000, -3.55271367880050e-14, 0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000002, 21.9999999999999, 0.000000000000000, -10.0000000000002, -33.0000000000001)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000, 10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -9.99999999999999, 22.0000000000000, 0.000000000000000, 9.99999999999999, 0.000000000000000)
       
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000, 0.000000000000000,
-10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000002, 21.9999999999999, 0.000000000000000,
-10.0000000000002, -33.0000000000001)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000,
10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -9.99999999999999, 22.0000000000000, 0.000000000000000,
9.99999999999999, 0.000000000000000)
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000, 0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000002, 21.9999999999999, 0.000000000000000, -10.0000000000002, -33.0000000000001)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000, 10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -9.99999999999999, 22.0000000000000, 0.000000000000000, 9.99999999999999, 0.000000000000000)
       
       
  0: (0,
308285501624518275124440141059439026544611173/1608468474124082447502792993997430\
970119148187500,
456354216082193118944286726409/7857338431167234570184192584187500)
  1: (0,
707914855582227079297317822239783726376232894223/9650810844744494685016757963984\
585820714889125000000,
70988433612785593277822628083191/1571467686233446914036838516837500000)
  2: (0,
308285501624518275124440141059439026544611173/9650810844744494685016757963984585\
820714889125000,
456354216082193118944286726409/15714676862334469140368385168375000)
  3: (0,
91343852333190620319280756559529462144355830023/96508108447444946850167579639845\
85820714889125000000,
20282409603653030511034717198609/1571467686233446914036838516837500000)
  4: (0, 0, 0)
  0: (0, 308285501624518275124440141059439026544611173/1608468474124082447502792993997430970119148187500, 456354216082193118944286726409/7857338431167234570184192584187500)
  1: (0, 707914855582227079297317822239783726376232894223/9650810844744494685016757963984585820714889125000000, 70988433612785593277822628083191/1571467686233446914036838516837500000)
  2: (0, 308285501624518275124440141059439026544611173/9650810844744494685016757963984585820714889125000, 456354216082193118944286726409/15714676862334469140368385168375000)
  3: (0, 91343852333190620319280756559529462144355830023/9650810844744494685016757963984585820714889125000000, 20282409603653030511034717198609/1571467686233446914036838516837500000)
  4: (0, 0, 0)
       
  0: (0.000000000000000, 0.000191664000000000, 0.0000580800000000000)
  1: (0.000000000000000, 0.0000733528888888889, 0.0000451733333333333)
  2: (0.000000000000000, 0.0000319440000000000, 0.0000290400000000000)
  3: (0.000000000000000, 9.46488888888890e-6, 0.0000129066666666667)
  4: (0.000000000000000, 0.000000000000000, 0.000000000000000)
  0: (0.000000000000000, 0.000191664000000000, 0.0000580800000000000)
  1: (0.000000000000000, 0.0000733528888888889, 0.0000451733333333333)
  2: (0.000000000000000, 0.0000319440000000000, 0.0000290400000000000)
  3: (0.000000000000000, 9.46488888888890e-6, 0.0000129066666666667)
  4: (0.000000000000000, 0.000000000000000, 0.000000000000000)
       
  0: (0.000000000000000, 0.0000380440622893685, 0.0000262462354473038)
  1: (0.000000000000000, -0.0000102327668058111, 0.0000133395687806372)
  2: (0.000000000000000, -0.0000166245146867342, -2.79376455269617e-6)
  3: (0.000000000000000, -4.08648478987951e-6, -0.0000189270978860295)
  4: (0.000000000000000, 0.0000564829083371632, -0.0000318337645526962)
  0: (0.000000000000000, 0.0000380440622893685, 0.0000262462354473038)
  1: (0.000000000000000, -0.0000102327668058111, 0.0000133395687806372)
  2: (0.000000000000000, -0.0000166245146867342, -2.79376455269617e-6)
  3: (0.000000000000000, -4.08648478987951e-6, -0.0000189270978860295)
  4: (0.000000000000000, 0.0000564829083371632, -0.0000318337645526962)
       
       
       
  0: (0, 10, 0, 0, -10, -4503599627370647/204709073971393)
  1: (0, 10, 4503599627370647/204709073971393, 0, -10,
-6755399441055970/204709073971393)
  2: (0, -10, 6755399441055970/204709073971393, 0, 10,
-4503599627370647/204709073971393)
  3: (0, -10, 4503599627370647/204709073971393, 0, 10, 0)
  0: (0, 10, 0, 0, -10, -4503599627370647/204709073971393)
  1: (0, 10, 4503599627370647/204709073971393, 0, -10, -6755399441055970/204709073971393)
  2: (0, -10, 6755399441055970/204709073971393, 0, 10, -4503599627370647/204709073971393)
  3: (0, -10, 4503599627370647/204709073971393, 0, 10, 0)
       
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000, 0.000000000000000,
-10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000000, 22.0000000000000, 0.000000000000000,
-10.0000000000000, -33.0000000000000)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000,
10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 22.0000000000000, 0.000000000000000,
10.0000000000000, 0.000000000000000)
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000, 0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000000, 22.0000000000000, 0.000000000000000, -10.0000000000000, -33.0000000000000)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000, 10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 22.0000000000000, 0.000000000000000, 10.0000000000000, 0.000000000000000)
       
Traceback (click to the left of this block for traceback)
...
ValueError: matrix equation has no solutions
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_46.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("dW4xMCwgZm4xMCA9IERpTSAobm5vZGVzLCBlbGVtcywge30sIGNoYXJzLCBlY2gsIGxvYWRzLCB7fSwgUmVhbEZpZWxkKDEwKSk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmp73XvLq/___code___.py", line 3, in <module>
    exec compile(u'un10, fn10 = DiM (nnodes, elems, {}, chars, ech, loads, {}, RealField(_sage_const_10 ))
  File "", line 1, in <module>
    
  File "/tmp/tmpFGCPgW/___code___.py", line 318, in DiM
    u = nodal_displacements (sk, sf, t)
  File "/tmp/tmpFGCPgW/___code___.py", line 237, in nodal_displacements
    u = sk  * BackslashOperator() * sf
  File "/opt/SageMath/local/lib/python2.7/site-packages/sage/misc/misc.py", line 1173, in __mul__
    return self.left._backslash_(right)
  File "sage/matrix/matrix2.pyx", line 113, in sage.matrix.matrix2.Matrix._backslash_ (build/cythonized/sage/matrix/matrix2.c:5425)
  File "sage/matrix/matrix2.pyx", line 467, in sage.matrix.matrix2.Matrix.solve_right (build/cythonized/sage/matrix/matrix2.c:8036)
  File "sage/matrix/matrix2.pyx", line 583, in sage.matrix.matrix2.Matrix._solve_right_general (build/cythonized/sage/matrix/matrix2.c:9164)
ValueError: matrix equation has no solutions
       
       
  0: (0.000, 0.000156, 0.0000453)
  1: (0.000, 0.0000687, 0.0000324)
  2: (0.000, 0.0000381, 0.0000162)
  3: (0.000, 0.0000343, 0.000)
  4: (0.000, 0.0000534, -0.0000129)
  0: (0.000, 0.000156, 0.0000453)
  1: (0.000, 0.0000687, 0.0000324)
  2: (0.000, 0.0000381, 0.0000162)
  3: (0.000, 0.0000343, 0.000)
  4: (0.000, 0.0000534, -0.0000129)
       
       
       
  0: (0.000, 4.84, 5.71, 0.000, -4.84, -16.4)
  1: (0.000, 64.8, -7.98, 0.000, -64.8, -63.2)
  2: (0.000, -85.8, 74.7, 0.000, 85.8, 19.6)
  3: (0.000, -10.3, 22.3, 0.000, 10.3, 0.297)
  0: (0.000, 4.84, 5.71, 0.000, -4.84, -16.4)
  1: (0.000, 64.8, -7.98, 0.000, -64.8, -63.2)
  2: (0.000, -85.8, 74.7, 0.000, 85.8, 19.6)
  3: (0.000, -10.3, 22.3, 0.000, 10.3, 0.297)
       
       
  0: (0.000, 0.0000301, 0.0000247)
  1: (0.000, -0.0000149, 0.0000118)
  2: (0.000, -0.0000196, -4.34e-6)
  3: (0.000, -5.36e-6, -0.0000205)
  4: (-0.000, 0.0000586, -0.0000334)
  0: (0.000, 0.0000301, 0.0000247)
  1: (0.000, -0.0000149, 0.0000118)
  2: (0.000, -0.0000196, -4.34e-6)
  3: (0.000, -5.36e-6, -0.0000205)
  4: (-0.000, 0.0000586, -0.0000334)
       
       
       
  0: (0.000, 10.0, -0.00195, 0.000, -10.0, -22.0)
  1: (0.000, 10.1, 22.0, 0.000, -10.1, -33.1)
  2: (0.000, -9.89, 33.0, 0.000, 9.89, -22.1)
  3: (0.000, -10.0, 22.0, 0.000, 10.0, 0.0234)
  0: (0.000, 10.0, -0.00195, 0.000, -10.0, -22.0)
  1: (0.000, 10.1, 22.0, 0.000, -10.1, -33.1)
  2: (0.000, -9.89, 33.0, 0.000, 9.89, -22.1)
  3: (0.000, -10.0, 22.0, 0.000, 10.0, 0.0234)
       
391
391
       
       
  0: (0.000000000000000, 10.0000000000000, 6.63398062327969e-389,
0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000000, 22.0000000000000, 0.000000000000000,
-10.0000000000000, -33.0000000000000)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000,
10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 22.0000000000000, 0.000000000000000,
10.0000000000000, 0.000000000000000)
  0: (0.000000000000000, 10.0000000000000, 6.63398062327969e-389, 0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000000, 22.0000000000000, 0.000000000000000, -10.0000000000000, -33.0000000000000)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000, 10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 22.0000000000000, 0.000000000000000, 10.0000000000000, 0.000000000000000)
       
       

 

po „koracima”

 

nodes

 

       
15
[ 0  1  2]
[ 3  4  5]
[ 6  7  8]
[ 9 10 11]
[12 13 14]
15
[ 0  1  2]
[ 3  4  5]
[ 6  7  8]
[ 9 10 11]
[12 13 14]
       
       

                                
                            

                                
       
15
16
15
16
       
12
13
12
13
       

                                
                            

                                
       
       
       

                                
                            

                                
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
12
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
12
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15]
13
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15]
13
       
       
       

                                
                            

                                
       
12
12
12
12
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
       
  0: (0.000000000000000, 0.000144000000000000, 0.0000480000000000000)
  1: (0.000000000000000, 0.0000551111111111111, 0.0000373333333333333)
  2: (0.000000000000000, 0.0000240000000000000, 0.0000240000000000000)
  3: (0.000000000000000, 7.11111111111112e-6, 0.0000106666666666667)
  4: (0.000000000000000, 0.000000000000000, 0.000000000000000)
  0: (0.000000000000000, 0.000144000000000000, 0.0000480000000000000)
  1: (0.000000000000000, 0.0000551111111111111, 0.0000373333333333333)
  2: (0.000000000000000, 0.0000240000000000000, 0.0000240000000000000)
  3: (0.000000000000000, 7.11111111111112e-6, 0.0000106666666666667)
  4: (0.000000000000000, 0.000000000000000, 0.000000000000000)
       
  0: (0, 9/62500, 3/62500)
  1: (0, 31/562500, 7/187500)
  2: (0, 3/125000, 3/125000)
  3: (0, 1/140625, 1/93750)
  4: (0, 0, 0)
  0: (0, 9/62500, 3/62500)
  1: (0, 31/562500, 7/187500)
  2: (0, 3/125000, 3/125000)
  3: (0, 1/140625, 1/93750)
  4: (0, 0, 0)
       
  0: (0.000000000000000, 0.000144000000000000, 0.0000480000000000000)
  1: (0.000000000000000, 0.0000551111111111111, 0.0000373333333333333)
  2: (0.000000000000000, 0.0000240000000000000, 0.0000240000000000000)
  3: (0.000000000000000, 7.11111111111111e-6, 0.0000106666666666667)
  4: (0.000000000000000, 0.000000000000000, 0.000000000000000)
  0: (0.000000000000000, 0.000144000000000000, 0.0000480000000000000)
  1: (0.000000000000000, 0.0000551111111111111, 0.0000373333333333333)
  2: (0.000000000000000, 0.0000240000000000000, 0.0000240000000000000)
  3: (0.000000000000000, 7.11111111111111e-6, 0.0000106666666666667)
  4: (0.000000000000000, 0.000000000000000, 0.000000000000000)
       
       
       
  0: (0.000000000000000, 10.0000000000000, 1.42108547152020e-14,
0.000000000000000, -10.0000000000000, -20.0000000000000)
  1: (0.000000000000000, 10.0000000000002, 19.9999999999999, 0.000000000000000,
-10.0000000000002, -30.0000000000001)
  2: (0.000000000000000, -9.99999999999993, 30.0000000000000, 0.000000000000000,
9.99999999999993, -20.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 20.0000000000000, 0.000000000000000,
10.0000000000000, -7.10542735760100e-15)
  0: (0.000000000000000, 10.0000000000000, 1.42108547152020e-14, 0.000000000000000, -10.0000000000000, -20.0000000000000)
  1: (0.000000000000000, 10.0000000000002, 19.9999999999999, 0.000000000000000, -10.0000000000002, -30.0000000000001)
  2: (0.000000000000000, -9.99999999999993, 30.0000000000000, 0.000000000000000, 9.99999999999993, -20.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 20.0000000000000, 0.000000000000000, 10.0000000000000, -7.10542735760100e-15)
       
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000, 0.000000000000000,
-10.0000000000000, -20.0000000000000)
  1: (0.000000000000000, 10.0000000000002, 19.9999999999999, 0.000000000000000,
-10.0000000000002, -30.0000000000001)
  2: (0.000000000000000, -9.99999999999993, 30.0000000000000, 0.000000000000000,
9.99999999999993, -20.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 20.0000000000000, 0.000000000000000,
10.0000000000000, 0.000000000000000)
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000, 0.000000000000000, -10.0000000000000, -20.0000000000000)
  1: (0.000000000000000, 10.0000000000002, 19.9999999999999, 0.000000000000000, -10.0000000000002, -30.0000000000001)
  2: (0.000000000000000, -9.99999999999993, 30.0000000000000, 0.000000000000000, 9.99999999999993, -20.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 20.0000000000000, 0.000000000000000, 10.0000000000000, 0.000000000000000)
       
  0: (0, 10, 0, 0, -10, -20)
  1: (0, 10, 20, 0, -10, -30)
  2: (0, -10, 30, 0, 10, -20)
  3: (0, -10, 20, 0, 10, 0)
  0: (0, 10, 0, 0, -10, -20)
  1: (0, 10, 20, 0, -10, -30)
  2: (0, -10, 30, 0, 10, -20)
  3: (0, -10, 20, 0, 10, 0)
       
       

                                
                            

                                
       
15
15
15
15
       

                                
                            

                                
       

                                
                            

                                
       
3.8e6
3.8e6
       
3.8e6
3.8e6
       
1.0
1.0
       
-3.8e6
-3.8e6
       
-4100.
-4100.
       
3749888
3749888
       
682/683
682/683
       
-3749888
-3749888
       
-3745793
-3745793
       
-4095
-4095
       
-4094
-4094
       
3.75193600000000e6
3.75193600000000e6
       
0.999023437500000
0.999023437500000
       
-3.75193600000000e6
-3.75193600000000e6
       
-3.74784000000000e6
-3.74784000000000e6
       
-4096.00000000000
-4096.00000000000
       
-4096.00000000000
-4096.00000000000
       
  0: (0.00, 0.000060, 0.000030)
  1: (0.00, 6.3e-6, 0.000020)
  2: (0.00, -7.3e-6, 6.5e-6)
  3: (0.00, -6.6e-6, -6.9e-6)
  4: (0.00, 0.000021, -0.000018)
  0: (0.00, 0.000060, 0.000030)
  1: (0.00, 6.3e-6, 0.000020)
  2: (0.00, -7.3e-6, 6.5e-6)
  3: (0.00, -6.6e-6, -6.9e-6)
  4: (0.00, 0.000021, -0.000018)
       
       
       
  0: (0.00, 9.8, 0.12, 0.00, -9.8, -20.)
  1: (0.00, 11., 19., 0.00, -11., -31.)
  2: (0.00, -11., 31., 0.00, 11., -19.)
  3: (0.00, -10., 20., 0.00, 10., -0.12)
  0: (0.00, 9.8, 0.12, 0.00, -9.8, -20.)
  1: (0.00, 11., 19., 0.00, -11., -31.)
  2: (0.00, -11., 31., 0.00, 11., -19.)
  3: (0.00, -10., 20., 0.00, 10., -0.12)
       
       

                                
                            

                                
       
15
15
15
15
       

                                
                            

                                
       
       

                                
                            

                                
       
14
14
14
14
       
Traceback (click to the left of this block for traceback)
...
ValueError: matrix equation has no solutions
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_110.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("eHgxNCA9IEsxNC5zb2x2ZV9yaWdodCAocTE0KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmp5ihUO3/___code___.py", line 2, in <module>
    exec compile(u'xx14 = K14.solve_right (q14)
  File "", line 1, in <module>
    
  File "sage/matrix/matrix2.pyx", line 467, in sage.matrix.matrix2.Matrix.solve_right (build/cythonized/sage/matrix/matrix2.c:8036)
  File "sage/matrix/matrix2.pyx", line 583, in sage.matrix.matrix2.Matrix._solve_right_general (build/cythonized/sage/matrix/matrix2.c:9164)
ValueError: matrix equation has no solutions
       
       
(0.000, 10.0, -0.00586, 0.000, -0.154, 0.0518, 0.000, -19.8, 0.0469, 0.000,
-0.0664, 0.00391, 0.000, 10.0, 0.0156)
(0.000, 10.0, -0.00586, 0.000, -0.154, 0.0518, 0.000, -19.8, 0.0469, 0.000, -0.0664, 0.00391, 0.000, 10.0, 0.0156)
       
(0.000, 10.0, 0.000, 0.000, 0.000, 0.000, 0.000, -20.0, 0.000, 0.000, 0.000,
0.000, 0.000, 10.0, 0.000)
(0.000, 10.0, 0.000, 0.000, 0.000, 0.000, 0.000, -20.0, 0.000, 0.000, 0.000, 0.000, 0.000, 10.0, 0.000)
       
(0.000, 0.00391, -0.00586, 0.000, -0.154, 0.0518, 0.000, 0.203, 0.0469, 0.000,
-0.0664, 0.00391, 0.000, 0.00781, 0.0156)
(0.000, 0.00391, -0.00586, 0.000, -0.154, 0.0518, 0.000, 0.203, 0.0469, 0.000, -0.0664, 0.00391, 0.000, 0.00781, 0.0156)
       
[True,
 True,
 True,
 True,
 False,
 False,
 True,
 False,
 False,
 True,
 False,
 True,
 True,
 True,
 False]
[True,
 True,
 True,
 True,
 False,
 False,
 True,
 False,
 False,
 True,
 False,
 True,
 True,
 True,
 False]
       
0.0110
0.0110
       
       
(0.00, 0.25, -0.19, 0.00, 0.25, -0.22, 0.00, 0.88, -0.81, 0.00, -1.3, -0.69,
0.00, 0.00, -0.12)
(0.00, 0.25, -0.19, 0.00, 0.25, -0.22, 0.00, 0.88, -0.81, 0.00, -1.3, -0.69, 0.00, 0.00, -0.12)
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14]
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14]
       
6
6
       
6.02059991327962
6.02059991327962
       
       

                                
                            

                                
       
14
14
14
14
       
Traceback (click to the left of this block for traceback)
...
ValueError: matrix equation has no solutions
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_124.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("eHgyMCA9IEsyMC5zb2x2ZV9yaWdodCAocTIwKQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmp0WaACR/___code___.py", line 2, in <module>
    exec compile(u'xx20 = K20.solve_right (q20)
  File "", line 1, in <module>
    
  File "sage/matrix/matrix2.pyx", line 467, in sage.matrix.matrix2.Matrix.solve_right (build/cythonized/sage/matrix/matrix2.c:8036)
  File "sage/matrix/matrix2.pyx", line 583, in sage.matrix.matrix2.Matrix._solve_right_general (build/cythonized/sage/matrix/matrix2.c:9164)
ValueError: matrix equation has no solutions
       
       
(0.00000, 0.00000, 0.000030518, 0.00000, 0.00000, -0.000030518, 0.00000,
0.00097656, -0.00054932, 0.00000, -0.0012207, -0.00036621, 0.00000, 0.00000,
0.00000)
(0.00000, 0.00000, 0.000030518, 0.00000, 0.00000, -0.000030518, 0.00000, 0.00097656, -0.00054932, 0.00000, -0.0012207, -0.00036621, 0.00000, 0.00000, 0.00000)
       
[True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True]
[True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True]
       
0.0013811
0.0013811
       

                                
                            

                                
       

                                
                            

                                
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14]
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14]
       
  0: (0.00000, 0.000028368, 0.000021123)
  1: (0.00000, -6.7667e-6, 0.000010456)
  2: (0.00000, -0.000011001, -2.8771e-6)
  3: (0.00000, -1.0125e-6, -0.000016210)
  4: (0.00000, 0.000045631, -0.000026877)
  0: (0.00000, 0.000028368, 0.000021123)
  1: (0.00000, -6.7667e-6, 0.000010456)
  2: (0.00000, -0.000011001, -2.8771e-6)
  3: (0.00000, -1.0125e-6, -0.000016210)
  4: (0.00000, 0.000045631, -0.000026877)
       
  0: (0.00000, 0.000028368, 0.000021123)
  1: (0.00000, -6.7667e-6, 0.000010456)
  2: (0.00000, -0.000011001, -2.8771e-6)
  3: (0.00000, -1.0125e-6, -0.000016210)
  4: (0.00000, 0.000045631, -0.000026877)
  0: (0.00000, 0.000028368, 0.000021123)
  1: (0.00000, -6.7667e-6, 0.000010456)
  2: (0.00000, -0.000011001, -2.8771e-6)
  3: (0.00000, -1.0125e-6, -0.000016210)
  4: (0.00000, 0.000045631, -0.000026877)
       
  0: (0.00000, 10.000, -0.00021362, 0.00000, -10.000, -20.000)
  1: (0.00000, 9.9982, 20.001, 0.00000, -9.9982, -29.999)
  2: (0.00000, -9.9983, 29.999, 0.00000, 9.9983, -20.001)
  3: (0.00000, -10.000, 20.000, 0.00000, 10.000, 0.00012207)
  0: (0.00000, 10.000, -0.00021362, 0.00000, -10.000, -20.000)
  1: (0.00000, 9.9982, 20.001, 0.00000, -9.9982, -29.999)
  2: (0.00000, -9.9983, 29.999, 0.00000, 9.9983, -20.001)
  3: (0.00000, -10.000, 20.000, 0.00000, 10.000, 0.00012207)
       
  0: (0.00000, 10.000, 0.00000, 0.00000, -10.000, -20.000)
  1: (0.00000, 9.9982, 20.001, 0.00000, -9.9982, -29.999)
  2: (0.00000, -9.9983, 29.999, 0.00000, 9.9983, -20.001)
  3: (0.00000, -10.000, 20.000, 0.00000, 10.000, 0.00000)
  0: (0.00000, 10.000, 0.00000, 0.00000, -10.000, -20.000)
  1: (0.00000, 9.9982, 20.001, 0.00000, -9.9982, -29.999)
  2: (0.00000, -9.9983, 29.999, 0.00000, 9.9983, -20.001)
  3: (0.00000, -10.000, 20.000, 0.00000, 10.000, 0.00000)
       
7
7.22471989593555
7
7.22471989593555
       
       

                                
                            

                                
       
12
12
12
12
       
Traceback (click to the left of this block for traceback)
...
ValueError: matrix equation has no solutions
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_140.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("eHgyNCA9IEsyNC5zb2x2ZV9yaWdodCAocTI0KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmp02Wi2K/___code___.py", line 2, in <module>
    exec compile(u'xx24 = K24.solve_right (q24)
  File "", line 1, in <module>
    
  File "sage/matrix/matrix2.pyx", line 467, in sage.matrix.matrix2.Matrix.solve_right (build/cythonized/sage/matrix/matrix2.c:8036)
  File "sage/matrix/matrix2.pyx", line 583, in sage.matrix.matrix2.Matrix._solve_right_general (build/cythonized/sage/matrix/matrix2.c:9164)
ValueError: matrix equation has no solutions
       
       
(0.000000, 7.62939e-6, 0.000000, 0.000000, 0.000000, -0.0000305176, 0.000000,
0.000000, 0.000000, 0.000000, -0.0000152588, 0.000000, 0.000000, 0.000000,
0.000000)
(0.000000, 7.62939e-6, 0.000000, 0.000000, 0.000000, -0.0000305176, 0.000000, 0.000000, 0.000000, 0.000000, -0.0000152588, 0.000000, 0.000000, 0.000000, 0.000000)
       
[True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True]
[True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True,
 True]
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
       
  0: (0.000000, 0.000144000, 0.0000480000)
  1: (0.000000, 0.0000551111, 0.0000373333)
  2: (0.000000, 0.0000240000, 0.0000240000)
  3: (0.000000, 7.11111e-6, 0.0000106667)
  4: (0.000000, 0.000000, 0.000000)
  0: (0.000000, 0.000144000, 0.0000480000)
  1: (0.000000, 0.0000551111, 0.0000373333)
  2: (0.000000, 0.0000240000, 0.0000240000)
  3: (0.000000, 7.11111e-6, 0.0000106667)
  4: (0.000000, 0.000000, 0.000000)
       
  0: (0.000000, 0.000144000, 0.0000480000)
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nodes 2

 

       

                                
                            

                                
       
15
15
15
15
       

                                
                            

                                
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
12
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
12
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
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0.000000000000000, 4.26325641456060e-14, 2.84217094304040e-14,
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(0.000000000000000, 2.13162820728030e-14, -3.55271367880050e-14, 0.000000000000000, 1.52766688188422e-13, -1.13686837721616e-13, 0.000000000000000, -1.70530256582424e-13, -8.52651282912120e-14, 0.000000000000000, 4.26325641456060e-14, 2.84217094304040e-14, 0.000000000000000, -1.42108547152020e-14, 0.000000000000000)
       
False
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[True,
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[True,
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12
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675539944105597/204709073971393
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[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
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10.0000000000000, 0.000000000000000)
  0: (0.000000000000000, 10.0000000000000, 0.000000000000000, 0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000000, 22.0000000000000, 0.000000000000000, -10.0000000000000, -33.0000000000000)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000, 10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 22.0000000000000, 0.000000000000000, 10.0000000000000, 0.000000000000000)
       
  0: (0.000000000000000, 10.0000000000000, -8.79643839550898e-389,
0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000000, 22.0000000000000, 0.000000000000000,
-10.0000000000000, -33.0000000000000)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000,
10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 22.0000000000000, 0.000000000000000,
10.0000000000000, -2.93214613183633e-390)
  0: (0.000000000000000, 10.0000000000000, -8.79643839550898e-389, 0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000000, 22.0000000000000, 0.000000000000000, -10.0000000000000, -33.0000000000000)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000, 10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 22.0000000000000, 0.000000000000000, 10.0000000000000, -2.93214613183633e-390)
       
  0: (0.000000000000000, 10.0000000000000, 6.63398062327969e-389,
0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000000, 22.0000000000000, 0.000000000000000,
-10.0000000000000, -33.0000000000000)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000,
10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 22.0000000000000, 0.000000000000000,
10.0000000000000, 0.000000000000000)
  0: (0.000000000000000, 10.0000000000000, 6.63398062327969e-389, 0.000000000000000, -10.0000000000000, -22.0000000000000)
  1: (0.000000000000000, 10.0000000000000, 22.0000000000000, 0.000000000000000, -10.0000000000000, -33.0000000000000)
  2: (0.000000000000000, -10.0000000000000, 33.0000000000000, 0.000000000000000, 10.0000000000000, -22.0000000000000)
  3: (0.000000000000000, -10.0000000000000, 22.0000000000000, 0.000000000000000, 10.0000000000000, 0.000000000000000)

 

nodes 2  &  loads 2  &  loads 3

 

       
       
  0: (0.000000000000000, 244.103569421518, 39.1529686793123)
  1: (0.000000000000000, 157.967047791920, 39.1529557726456)
  2: (0.000000000000000, 114.898804723788, 39.1529396393122)
  3: (0.000000000000000, 71.8305805854333, 39.1529235059789)
  4: (0.000000000000000, -14.3058321979425, 39.1529105993122)
  0: (0.000000000000000, 244.103569421518, 39.1529686793123)
  1: (0.000000000000000, 157.967047791920, 39.1529557726456)
  2: (0.000000000000000, 114.898804723788, 39.1529396393122)
  3: (0.000000000000000, 71.8305805854333, 39.1529235059789)
  4: (0.000000000000000, -14.3058321979425, 39.1529105993122)
       
  0: (0.000000000000000, 9.99999997019768, 2.98023223876953e-8,
0.000000000000000, -9.99999997019768, -22.0000000000000)
  1: (0.000000000000000, 9.99999994039536, 22.0000000298023, 0.000000000000000,
-9.99999994039536, -32.9999999403954)
  2: (0.000000000000000, -9.99999994039536, 32.9999999850988, 0.000000000000000,
9.99999994039536, -22.0000000298023)
  3: (0.000000000000000, -10.0000000000000, 21.9999999925494, 0.000000000000000,
10.0000000000000, 0.000000000000000)
  0: (0.000000000000000, 9.99999997019768, 2.98023223876953e-8, 0.000000000000000, -9.99999997019768, -22.0000000000000)
  1: (0.000000000000000, 9.99999994039536, 22.0000000298023, 0.000000000000000, -9.99999994039536, -32.9999999403954)
  2: (0.000000000000000, -9.99999994039536, 32.9999999850988, 0.000000000000000, 9.99999994039536, -22.0000000298023)
  3: (0.000000000000000, -10.0000000000000, 21.9999999925494, 0.000000000000000, 10.0000000000000, 0.000000000000000)
       
       
15
15
15
15
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
15
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
15
       

                                
                            

                                
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15]
13
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15]
13
       
       
  0: (0.000000000000000, 61.0259149307667, 9.78826118132278)
  1: (0.000000000000000, 39.4917497967455, 9.78824827465611)
  2: (0.000000000000000, 28.7246849764016, 9.78823214132277)
  3: (0.000000000000000, 17.9576390858354, 9.78821600798944)
  4: (0.000000000000000, -3.57641720196358, 9.78820310132277)
  0: (0.000000000000000, 61.0259149307667, 9.78826118132278)
  1: (0.000000000000000, 39.4917497967455, 9.78824827465611)
  2: (0.000000000000000, 28.7246849764016, 9.78823214132277)
  3: (0.000000000000000, 17.9576390858354, 9.78821600798944)
  4: (0.000000000000000, -3.57641720196358, 9.78820310132277)
       
  0: (0.000000000000000, 9.99999999254942, -1.86264514923096e-9,
0.000000000000000, -9.99999999254942, -22.0000000037253)
  1: (0.000000000000000, 9.99999997019768, 21.9999999925494, 0.000000000000000,
-9.99999997019768, -33.0000000447035)
  2: (0.000000000000000, -9.99999998509884, 32.9999999776483, 0.000000000000000,
9.99999998509884, -22.0000000149012)
  3: (0.000000000000000, -10.0000000037253, 22.0000000055879, 0.000000000000000,
10.0000000037253, 7.45058059692383e-9)
  0: (0.000000000000000, 9.99999999254942, -1.86264514923096e-9, 0.000000000000000, -9.99999999254942, -22.0000000037253)
  1: (0.000000000000000, 9.99999997019768, 21.9999999925494, 0.000000000000000, -9.99999997019768, -33.0000000447035)
  2: (0.000000000000000, -9.99999998509884, 32.9999999776483, 0.000000000000000, 9.99999998509884, -22.0000000149012)
  3: (0.000000000000000, -10.0000000037253, 22.0000000055879, 0.000000000000000, 10.0000000037253, 7.45058059692383e-9)
       
       
15
15
15
15
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
15
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
15
       

                                
                            

                                
       

                                
                            

                                
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
12
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
12
       
  0: (0.000000000000000, 0.000191664000142801, 0.0000580800000432729)
  1: (0.000000000000000, 0.0000733528889435410, 0.0000451733333669900)
  2: (0.000000000000000, 0.0000319440000238001, 0.0000290400000216365)
  3: (0.000000000000000, 9.46488889594077e-6, 0.0000129066666762829)
  4: (0.000000000000000, 0.000000000000000, 0.000000000000000)
  0: (0.000000000000000, 0.000191664000142801, 0.0000580800000432729)
  1: (0.000000000000000, 0.0000733528889435410, 0.0000451733333669900)
  2: (0.000000000000000, 0.0000319440000238001, 0.0000290400000216365)
  3: (0.000000000000000, 9.46488889594077e-6, 0.0000129066666762829)
  4: (0.000000000000000, 0.000000000000000, 0.000000000000000)
       
  0: (0.000000000000000, 10.0000000074508, 0.000000000000000, 0.000000000000000,
-10.0000000074508, -22.0000000163915)
  1: (0.000000000000000, 10.0000000074511, 22.0000000163909, 0.000000000000000,
-10.0000000074511, -33.0000000245872)
  2: (0.000000000000000, -10.0000000074506, 33.0000000245869, 0.000000000000000,
10.0000000074506, -22.0000000163913)
  3: (0.000000000000000, -10.0000000074506, 22.0000000163913, 0.000000000000000,
10.0000000074506, 0.000000000000000)
  0: (0.000000000000000, 10.0000000074508, 0.000000000000000, 0.000000000000000, -10.0000000074508, -22.0000000163915)
  1: (0.000000000000000, 10.0000000074511, 22.0000000163909, 0.000000000000000, -10.0000000074511, -33.0000000245872)
  2: (0.000000000000000, -10.0000000074506, 33.0000000245869, 0.000000000000000, 10.0000000074506, -22.0000000163913)
  3: (0.000000000000000, -10.0000000074506, 22.0000000163913, 0.000000000000000, 10.0000000074506, 0.000000000000000)
       
{0: (0.000000000000000, 10.0000000000000, 0.000000000000000),
 2: (0.000000000000000, -20.0000000149012, 0.000000000000000),
 4: (0.000000000000000, 10.0000000000000, 0.000000000000000)}
{0: (0.000000000000000, 10.0000000000000, 0.000000000000000),
 2: (0.000000000000000, -20.0000000149012, 0.000000000000000),
 4: (0.000000000000000, 10.0000000000000, 0.000000000000000)}
       
-10.0000000074506
-10.0000000074506
       
{0: [0, 10, 0], 2: [0, -335544321/16777216, 0], 4: [0, 10, 0]}
{0: [0, 10, 0], 2: [0, -335544321/16777216, 0], 4: [0, 10, 0]}
       
Traceback (click to the left of this block for traceback)
...
ValueError: matrix equation has no solutions
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_225.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("dW5sUVEsIGZubFFRID0gRGlNIChubm9kZXMsIGVsZW1zLCB7fSwgY2hhcnMsIGVjaCwgbGxvYWRzLCBmaWVsZCA9IFFRKQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpC5PpZO/___code___.py", line 2, in <module>
    exec compile(u'unlQQ, fnlQQ = DiM (nnodes, elems, {}, chars, ech, lloads, field = QQ)
  File "", line 1, in <module>
    
  File "/tmp/tmp34Zncn/___code___.py", line 317, in DiM
    u = nodal_displacements (sk, sf, t)
  File "/tmp/tmp34Zncn/___code___.py", line 236, in nodal_displacements
    u = sk  * BackslashOperator() * sf
  File "/opt/SageMath/local/lib/python2.7/site-packages/sage/misc/misc.py", line 1173, in __mul__
    return self.left._backslash_(right)
  File "sage/matrix/matrix2.pyx", line 113, in sage.matrix.matrix2.Matrix._backslash_ (build/cythonized/sage/matrix/matrix2.c:5425)
  File "sage/matrix/matrix2.pyx", line 467, in sage.matrix.matrix2.Matrix.solve_right (build/cythonized/sage/matrix/matrix2.c:8036)
  File "sage/matrix/matrix2.pyx", line 583, in sage.matrix.matrix2.Matrix._solve_right_general (build/cythonized/sage/matrix/matrix2.c:9164)
ValueError: matrix equation has no solutions
       
       
12
13
12
13