Project 3

64 days ago by hprieto

#this is for part 1f 
       
#this value of c I chose is .5 x = var('x') def f(x): return 3/x+x/2-.5 p = [] x = 2.08 for n in range (1000): if (n < 25): p += [[n,x]] if (n > 975): p += [[n,x]] x = f(x) q = scatter_plot(p, color='red') 
       
q 
        
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 49 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 49 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#the next value of c I chose is 1 x = var('x') def f(x): return 3/x+x/2-1 p = [] x = 1.7 for n in range (1000): if (n < 25): p += [[n,x]] if (n > 975): p += [[n,x]] x = f(x) q = scatter_plot(p, color='red') 
       
q 
        
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 49 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 49 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here I was checking the stability of the two cycle. the initial value of c is 1.5. x = var('x') def f(x): return 3/x+x/2-1.5 p = [] x = 2.1 for n in range (1000): if (n < 25): p += [[n,x]] if (n > 975): p += [[n,x]] x = f(x) q = scatter_plot(p, color='red') 
       
q 
        
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 49 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 49 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#this time for the two cycle I chose c=1.7 x = var('x') def f(x): return 3/x+x/2-1.7 p = [] x = 2.34 for n in range (1000): if (n < 25): p += [[n,x]] if (n > 975): p += [[n,x]] x = f(x) q = scatter_plot(p, color='red') 
       
q 
        
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 49 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 49 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here's my solution to 1gi. c=1.85 has a stable 4-cycle x = var('x') def f(x): return 3/x+x/2-1.85 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) q = scatter_plot(p, color='red') q 
        
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here's my solution to 1gii. c=1.92 has a stable 8 cycle. x = var('x') def f(x): return 3/x+x/2-1.92 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) q = scatter_plot(p, color='red') q 
        
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here's my solution to 1giii. 1.94 has a stable 16 cycle x = var('x') def f(x): return 3/x+x/2-1.94 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) q = scatter_plot(p, color='red') q 
        
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here's my solution to 1giv. 1.94125 seems to have a stable 32 cycle x = var('x') def f(x): return 3/x+x/2-1.94125 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) q = scatter_plot(p, color='red') q 
        
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here's my solution to 1gv. 1.999999 has chaos x = var('x') def f(x): return 3/x+x/2-1.999999 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) q = scatter_plot(p, color='red') q 
        
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here is 2a. c=.5 x = var('x') def f(x): return 3/x+x/2-.5 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) print p q = scatter_plot(p, color='red') q 
        
WARNING: Output truncated!  
full_output.txt



[[0, 2.50000000000000], [1, 1.95000000000000], [2, 2.01346153846154],
[3, 1.99670211593564], [4, 2.00082855626717], [5, 1.99979311826616], [6,
2.00005173648514], [7, 1.99998706688244], [8, 2.00000323334212], [9,
1.99999919166839], [10, 2.00000020208315], [11, 1.99999994947923], [12,
2.00000001263019], [13, 1.99999999684245], [14, 2.00000000078939], [15,
1.99999999980265], [16, 2.00000000004934], [17, 1.99999999998767], [18,
2.00000000000308], [19, 1.99999999999923], [20, 2.00000000000019], [21,
1.99999999999995], [22, 2.00000000000001], [23, 2.00000000000000], [24,
2.00000000000000], [25, 2.00000000000000], [26, 2.00000000000000], [27,
2.00000000000000], [28, 2.00000000000000], [29, 2.00000000000000], [30,
2.00000000000000], [31, 2.00000000000000], [32, 2.00000000000000], [33,
2.00000000000000], [34, 2.00000000000000], [35, 2.00000000000000], [36,
2.00000000000000], [37, 2.00000000000000], [38, 2.00000000000000], [39,
2.00000000000000], [40, 2.00000000000000], [41, 2.00000000000000], [42,
2.00000000000000], [43, 2.00000000000000], [44, 2.00000000000000], [45,
2.00000000000000], [46, 2.00000000000000], [47, 2.00000000000000], [48,
2.00000000000000], [49, 2.00000000000000], [50, 2.00000000000000], [51,
2.00000000000000], [52, 2.00000000000000], [53, 2.00000000000000], [54,
2.00000000000000], [55, 2.00000000000000], [56, 2.00000000000000], [57,
2.00000000000000], [58, 2.00000000000000], [59, 2.00000000000000], [60,
2.00000000000000], [61, 2.00000000000000], [62, 2.00000000000000], [63,
2.00000000000000], [64, 2.00000000000000], [65, 2.00000000000000], [66,
2.00000000000000], [67, 2.00000000000000], [68, 2.00000000000000], [69,
2.00000000000000], [70, 2.00000000000000], [71, 2.00000000000000], [72,
2.00000000000000], [73, 2.00000000000000], [74, 2.00000000000000], [75,
2.00000000000000], [76, 2.00000000000000], [77, 2.00000000000000], [78,
2.00000000000000], [79, 2.00000000000000], [80, 2.00000000000000], [81,
2.00000000000000], [82, 2.00000000000000], [83, 2.00000000000000], [84,
2.00000000000000], [85, 2.00000000000000], [86, 2.00000000000000], [87,
2.00000000000000], [88, 2.00000000000000], [89, 2.00000000000000], [90,
2.00000000000000], [91, 2.00000000000000], [92, 2.00000000000000], [93,
2.00000000000000], [94, 2.00000000000000], [95, 2.00000000000000], [96,
2.00000000000000], [97, 2.00000000000000], [98, 2.00000000000000], [99,
2.00000000000000], [100, 2.00000000000000], [101, 2.00000000000000],
[102, 2.00000000000000], [103, 2.00000000000000], [104,
2.00000000000000], [105, 2.00000000000000], [106, 2.00000000000000],
[107, 2.00000000000000], [108, 2.00000000000000], [109,
2.00000000000000], [110, 2.00000000000000], [111, 2.00000000000000],
[112, 2.00000000000000], [113, 2.00000000000000], [114,
2.00000000000000], [115, 2.00000000000000], [116, 2.00000000000000],
[117, 2.00000000000000], [118, 2.00000000000000], [119,
2.00000000000000], [120, 2.00000000000000], [121, 2.00000000000000],
[122, 2.00000000000000], [123, 2.00000000000000], [124,
2.00000000000000], [125, 2.00000000000000], [126, 2.00000000000000],
[127, 2.00000000000000], [128, 2.00000000000000], [129,
2.00000000000000], [130, 2.00000000000000], [131, 2.00000000000000],
[132, 2.00000000000000], [133, 2.00000000000000], [134,
2.00000000000000], [135, 2.00000000000000], [136, 2.00000000000000],
[137, 2.00000000000000], [138, 2.00000000000000], [139,
2.00000000000000], [140, 2.00000000000000], [141, 2.00000000000000],
[142, 2.00000000000000], [143, 2.00000000000000], [144,
2.00000000000000], [145, 2.00000000000000], [146, 2.00000000000000],
[147, 2.00000000000000], [148, 2.00000000000000], [149,
2.00000000000000], [150, 2.00000000000000], [151, 2.00000000000000],
[152, 2.00000000000000], [153, 2.00000000000000], [154,
2.00000000000000], [155, 2.00000000000000], [156, 2.00000000000000],
[157, 2.00000000000000], [158, 2.00000000000000], [159,
2.00000000000000], [160, 2.00000000000000], [161, 2.00000000000000],
[162, 2.00000000000000], [163, 2.00000000000000], [164,
2.00000000000000], [165, 2.00000000000000], [166, 2.00000000000000],
[167, 2.00000000000000], [168, 2.00000000000000], [169,
2.00000000000000], [170, 2.00000000000000], [171, 2.00000000000000],
[172, 2.00000000000000], [173, 2.00000000000000], [174,
2.00000000000000], [175, 2.00000000000000], [176, 2.00000000000000],
[177, 2.00000000000000], [178, 2.00000000000000], [179,
2.00000000000000], [180, 2.00000000000000], [181, 2.00000000000000],
[182, 2.00000000000000], [183, 2.00000000000000], [184,
2.00000000000000], [185, 2.00000000000000], [186, 2.00000000000000],
[187, 2.00000000000000], [188, 2.00000000000000], [189,
2.00000000000000], [190, 2.00000000000000], [191, 2.00000000000000],
[192, 2.00000000000000], [193, 2.00000000000000], [194,
2.00000000000000], [195, 2.00000000000000], [196, 2.00000000000000],
[197, 2.00000000000000], [198, 2.00000000000000], [199,
2.00000000000000], [200, 2.00000000000000], [201, 2.00000000000000],
[202, 2.00000000000000], [203, 2.00000000000000], [204,
2.00000000000000], [205, 2.00000000000000], [206, 2.00000000000000],
[207, 2.00000000000000], [208, 2.00000000000000], [209,
2.00000000000000], [210, 2.00000000000000], [211, 2.00000000000000],
[212, 2.00000000000000], [213, 2.00000000000000], [214,
2.00000000000000], [215, 2.00000000000000], [216, 2.00000000000000],
[217, 2.00000000000000], [218, 2.00000000000000], [219,
2.00000000000000], [220, 2.00000000000000], [221, 2.00000000000000],
[222, 2.00000000000000], [223, 2.00000000000000], [224,
2.00000000000000], [225, 2.00000000000000], [226, 2.00000000000000],
[227, 2.00000000000000], [228, 2.00000000000000], [229,
2.00000000000000], [230, 2.00000000000000], [231, 2.00000000000000],
[232, 2.00000000000000], [233, 2.00000000000000], [234,
2.00000000000000], [235, 2.00000000000000], [236, 2.00000000000000],
[237, 2.00000000000000], [238, 2.00000000000000], [239,
2.00000000000000], [240, 2.00000000000000], [241, 2.00000000000000],
[242, 2.00000000000000], [243, 2.00000000000000], [244,
2.00000000000000], [245, 2.00000000000000], [246, 2.00000000000000],
[247, 2.00000000000000], [248, 2.00000000000000], [249,
2.00000000000000], [250, 2.00000000000000], [251, 2.00000000000000],
[252, 2.00000000000000], [253, 2.00000000000000], [254,
2.00000000000000], [255, 2.00000000000000], [256, 2.00000000000000],
[257, 2.00000000000000], [258, 2.00000000000000], [259,
2.00000000000000], [260, 2.00000000000000], [261, 2.00000000000000],
[262, 2.00000000000000], [263, 2.00000000000000], [264,
2.00000000000000], [265, 2.00000000000000], [266, 2.00000000000000],
[267, 2.00000000000000], [268, 2.00000000000000], [269,
2.00000000000000], [270, 2.00000000000000], [271, 2.00000000000000],
[272, 2.00000000000000], [273, 2.00000000000000], [274,
2.00000000000000], [275, 2.00000000000000], [276, 2.00000000000000],
[277, 2.00000000000000], [278, 2.00000000000000], [279,
2.00000000000000], [280, 2.00000000000000], [281, 2.00000000000000],
[282, 2.00000000000000], [283, 2.00000000000000], [284,
2.00000000000000], [285, 2.00000000000000], [286, 2.00000000000000],
[287, 2.00000000000000], [288, 2.00000000000000], [289,
2.00000000000000], [290, 2.00000000000000], [291, 2.00000000000000],
[292, 2.00000000000000], [293, 2.00000000000000], [294,
2.00000000000000], [295, 2.00000000000000], [296, 2.00000000000000],
[297, 2.00000000000000], [298, 2.00000000000000], [299,
2.00000000000000], [300, 2.00000000000000], [301, 2.00000000000000],
[302, 2.00000000000000], [303, 2.00000000000000], [304,
2.00000000000000], [305, 2.00000000000000], [306, 2.00000000000000],
[307, 2.00000000000000], [308, 2.00000000000000], [309,
2.00000000000000], [310, 2.00000000000000], [311, 2.00000000000000],
[312, 2.00000000000000], [313, 2.00000000000000], [314,
2.00000000000000], [315, 2.00000000000000], [316, 2.00000000000000],
[317, 2.00000000000000], [318, 2.00000000000000], [319,
2.00000000000000], [320, 2.00000000000000], [321, 2.00000000000000],
[322, 2.00000000000000], [323, 2.00000000000000], [324,
2.00000000000000], [325, 2.00000000000000], [326, 2.00000000000000],
[327, 2.00000000000000], [328, 2.00000000000000], [329,
2.00000000000000], [330, 2.00000000000000], [331, 2.00000000000000],
[332, 2.00000000000000], [333, 2.00000000000000], [334,
2.00000000000000], [335, 2.00000000000000], [336, 2.00000000000000],
[337, 2.00000000000000], [338, 2.00000000000000], [339,
2.00000000000000], [340, 2.00000000000000], [341, 2.00000000000000],
[342, 2.00000000000000], [343, 2.00000000000000], [344,
2.00000000000000], [345, 2.00000000000000], [346, 2.00000000000000],
[347, 2.00000000000000], [348, 2.00000000000000], [349,
2.00000000000000], [350, 2.00000000000000], [351, 2.00000000000000],
[352, 2.00000000000000], [353, 2.00000000000000], [354,
2.00000000000000], [355, 2.00000000000000], [356, 2.00000000000000],
[357, 2.00000000000000], [358, 2.00000000000000], [359,
2.00000000000000], [360, 2.00000000000000], [361, 2.00000000000000],
[362, 2.00000000000000], [363, 2.00000000000000], [364,
2.00000000000000], [365, 2.00000000000000], [366, 2.00000000000000],
[367, 2.00000000000000], [368, 2.00000000000000], [369,
2.00000000000000], [370, 2.00000000000000], [371, 2.00000000000000],
[372, 2.00000000000000], [373, 2.00000000000000], [374,
2.00000000000000], [375, 2.00000000000000], [376, 2.00000000000000],
[377, 2.00000000000000], [378, 2.00000000000000], [379,
2.00000000000000], [380, 2.00000000000000], [381, 2.00000000000000],
[382, 2.00000000000000], [383, 2.00000000000000], [384,
2.00000000000000], [385, 2.00000000000000], [386, 2.00000000000000],
[387, 2.00000000000000], [388, 2.00000000000000], [389,
2.00000000000000], [390, 2.00000000000000], [391, 2.00000000000000],
[392, 2.00000000000000], [393, 2.00000000000000], [394,
2.00000000000000], [395, 2.00000000000000], [396, 2.00000000000000],
[397, 2.00000000000000], [398, 2.00000000000000], [399,
2.00000000000000], [400, 2.00000000000000], [401, 2.00000000000000],
[402, 2.00000000000000], [403, 2.00000000000000], [404,
2.00000000000000], [405, 2.00000000000000], [406, 2.00000000000000],
[407, 2.00000000000000], [408, 2.00000000000000], [409,
2.00000000000000], [410, 2.00000000000000], [411, 2.00000000000000],
[412, 2.00000000000000], [413, 2.00000000000000], [414,
2.00000000000000], [415, 2.00000000000000], [416, 2.00000000000000],
[417, 2.00000000000000], [418, 2.00000000000000], [419,
2.00000000000000], [420, 2.00000000000000], [421, 2.00000000000000],
[422, 2.00000000000000], [423, 2.00000000000000], [424,
2.00000000000000], [425, 2.00000000000000], [426, 2.00000000000000],
[427, 2.00000000000000], [428, 2.00000000000000], [429,
2.00000000000000], [430, 2.00000000000000], [431, 2.00000000000000],
[432, 2.00000000000000], [433, 2.00000000000000], [434,
2.00000000000000], [435, 2.00000000000000], [436, 2.00000000000000],
[437, 2.00000000000000], [438, 2.00000000000000], [439,
2.00000000000000], [440, 2.00000000000000], [441, 2.00000000000000],
[442, 2.00000000000000], [443, 2.00000000000000], [444,
2.00000000000000], [445, 2.00000000000000], [446, 2.00000000000000],
[447, 2.00000000000000], [448, 2.00000000000000], [449,
2.00000000000000], [450, 2.00000000000000], [451, 2.00000000000000],
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...

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2.00000000000000], [1918, 2.00000000000000], [1919, 2.00000000000000],
[1920, 2.00000000000000], [1921, 2.00000000000000], [1922,
2.00000000000000], [1923, 2.00000000000000], [1924, 2.00000000000000],
[1925, 2.00000000000000], [1926, 2.00000000000000], [1927,
2.00000000000000], [1928, 2.00000000000000], [1929, 2.00000000000000],
[1930, 2.00000000000000], [1931, 2.00000000000000], [1932,
2.00000000000000], [1933, 2.00000000000000], [1934, 2.00000000000000],
[1935, 2.00000000000000], [1936, 2.00000000000000], [1937,
2.00000000000000], [1938, 2.00000000000000], [1939, 2.00000000000000],
[1940, 2.00000000000000], [1941, 2.00000000000000], [1942,
2.00000000000000], [1943, 2.00000000000000], [1944, 2.00000000000000],
[1945, 2.00000000000000], [1946, 2.00000000000000], [1947,
2.00000000000000], [1948, 2.00000000000000], [1949, 2.00000000000000],
[1950, 2.00000000000000], [1951, 2.00000000000000], [1952,
2.00000000000000], [1953, 2.00000000000000], [1954, 2.00000000000000],
[1955, 2.00000000000000], [1956, 2.00000000000000], [1957,
2.00000000000000], [1958, 2.00000000000000], [1959, 2.00000000000000],
[1960, 2.00000000000000], [1961, 2.00000000000000], [1962,
2.00000000000000], [1963, 2.00000000000000], [1964, 2.00000000000000],
[1965, 2.00000000000000], [1966, 2.00000000000000], [1967,
2.00000000000000], [1968, 2.00000000000000], [1969, 2.00000000000000],
[1970, 2.00000000000000], [1971, 2.00000000000000], [1972,
2.00000000000000], [1973, 2.00000000000000], [1974, 2.00000000000000],
[1975, 2.00000000000000], [1976, 2.00000000000000], [1977,
2.00000000000000], [1978, 2.00000000000000], [1979, 2.00000000000000],
[1980, 2.00000000000000], [1981, 2.00000000000000], [1982,
2.00000000000000], [1983, 2.00000000000000], [1984, 2.00000000000000],
[1985, 2.00000000000000], [1986, 2.00000000000000], [1987,
2.00000000000000], [1988, 2.00000000000000], [1989, 2.00000000000000],
[1990, 2.00000000000000], [1991, 2.00000000000000], [1992,
2.00000000000000], [1993, 2.00000000000000], [1994, 2.00000000000000],
[1995, 2.00000000000000], [1996, 2.00000000000000], [1997,
2.00000000000000], [1998, 2.00000000000000], [1999, 2.00000000000000]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



WARNING: Output truncated!  
full_output.txt



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verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here is 2b. c=1.5 x = var('x') def f(x): return 3/x+x/2-1.5 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) print p q = scatter_plot(p, color='red') q 
        
WARNING: Output truncated!  
full_output.txt



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[1975, 1.00000000000000], [1976, 2.00000000000000], [1977,
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[1980, 2.00000000000000], [1981, 1.00000000000000], [1982,
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[1985, 1.00000000000000], [1986, 2.00000000000000], [1987,
1.00000000000000], [1988, 2.00000000000000], [1989, 1.00000000000000],
[1990, 2.00000000000000], [1991, 1.00000000000000], [1992,
2.00000000000000], [1993, 1.00000000000000], [1994, 2.00000000000000],
[1995, 1.00000000000000], [1996, 2.00000000000000], [1997,
1.00000000000000], [1998, 2.00000000000000], [1999, 1.00000000000000]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



WARNING: Output truncated!  
full_output.txt



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verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here is 2c. c=1.85 x = var('x') def f(x): return 3/x+x/2-1.85 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) print p q = scatter_plot(p, color='red') q 
        
WARNING: Output truncated!  
full_output.txt



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[1723, 0.739547711852006], [1724, 2.57630726401035], [1725,
0.602611009395059], [1726, 3.42964136851057], [1727, 0.739547711852006],
[1728, 2.57630726401035], [1729, 0.602611009395059], [1730,
3.42964136851057], [1731, 0.739547711852006], [1732, 2.57630726401035],
[1733, 0.602611009395059], [1734, 3.42964136851057], [1735,
0.739547711852006], [1736, 2.57630726401035], [1737, 0.602611009395059],
[1738, 3.42964136851057], [1739, 0.739547711852006], [1740,
2.57630726401035], [1741, 0.602611009395059], [1742, 3.42964136851057],
[1743, 0.739547711852006], [1744, 2.57630726401035], [1745,
0.602611009395059], [1746, 3.42964136851057], [1747, 0.739547711852006],
[1748, 2.57630726401035], [1749, 0.602611009395059], [1750,
3.42964136851057], [1751, 0.739547711852006], [1752, 2.57630726401035],
[1753, 0.602611009395059], [1754, 3.42964136851057], [1755,
0.739547711852006], [1756, 2.57630726401035], [1757, 0.602611009395059],
[1758, 3.42964136851057], [1759, 0.739547711852006], [1760,
2.57630726401035], [1761, 0.602611009395059], [1762, 3.42964136851057],
[1763, 0.739547711852006], [1764, 2.57630726401035], [1765,
0.602611009395059], [1766, 3.42964136851057], [1767, 0.739547711852006],
[1768, 2.57630726401035], [1769, 0.602611009395059], [1770,
3.42964136851057], [1771, 0.739547711852006], [1772, 2.57630726401035],
[1773, 0.602611009395059], [1774, 3.42964136851057], [1775,
0.739547711852006], [1776, 2.57630726401035], [1777, 0.602611009395059],
[1778, 3.42964136851057], [1779, 0.739547711852006], [1780,
2.57630726401035], [1781, 0.602611009395059], [1782, 3.42964136851057],
[1783, 0.739547711852006], [1784, 2.57630726401035], [1785,
0.602611009395059], [1786, 3.42964136851057], [1787, 0.739547711852006],
[1788, 2.57630726401035], [1789, 0.602611009395059], [1790,
3.42964136851057], [1791, 0.739547711852006], [1792, 2.57630726401035],
[1793, 0.602611009395059], [1794, 3.42964136851057], [1795,
0.739547711852006], [1796, 2.57630726401035], [1797, 0.602611009395059],
[1798, 3.42964136851057], [1799, 0.739547711852006], [1800,
2.57630726401035], [1801, 0.602611009395059], [1802, 3.42964136851057],
[1803, 0.739547711852006], [1804, 2.57630726401035], [1805,
0.602611009395059], [1806, 3.42964136851057], [1807, 0.739547711852006],
[1808, 2.57630726401035], [1809, 0.602611009395059], [1810,
3.42964136851057], [1811, 0.739547711852006], [1812, 2.57630726401035],
[1813, 0.602611009395059], [1814, 3.42964136851057], [1815,
0.739547711852006], [1816, 2.57630726401035], [1817, 0.602611009395059],
[1818, 3.42964136851057], [1819, 0.739547711852006], [1820,
2.57630726401035], [1821, 0.602611009395059], [1822, 3.42964136851057],
[1823, 0.739547711852006], [1824, 2.57630726401035], [1825,
0.602611009395059], [1826, 3.42964136851057], [1827, 0.739547711852006],
[1828, 2.57630726401035], [1829, 0.602611009395059], [1830,
3.42964136851057], [1831, 0.739547711852006], [1832, 2.57630726401035],
[1833, 0.602611009395059], [1834, 3.42964136851057], [1835,
0.739547711852006], [1836, 2.57630726401035], [1837, 0.602611009395059],
[1838, 3.42964136851057], [1839, 0.739547711852006], [1840,
2.57630726401035], [1841, 0.602611009395059], [1842, 3.42964136851057],
[1843, 0.739547711852006], [1844, 2.57630726401035], [1845,
0.602611009395059], [1846, 3.42964136851057], [1847, 0.739547711852006],
[1848, 2.57630726401035], [1849, 0.602611009395059], [1850,
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[1853, 0.602611009395059], [1854, 3.42964136851057], [1855,
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[1858, 3.42964136851057], [1859, 0.739547711852006], [1860,
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[1863, 0.739547711852006], [1864, 2.57630726401035], [1865,
0.602611009395059], [1866, 3.42964136851057], [1867, 0.739547711852006],
[1868, 2.57630726401035], [1869, 0.602611009395059], [1870,
3.42964136851057], [1871, 0.739547711852006], [1872, 2.57630726401035],
[1873, 0.602611009395059], [1874, 3.42964136851057], [1875,
0.739547711852006], [1876, 2.57630726401035], [1877, 0.602611009395059],
[1878, 3.42964136851057], [1879, 0.739547711852006], [1880,
2.57630726401035], [1881, 0.602611009395059], [1882, 3.42964136851057],
[1883, 0.739547711852006], [1884, 2.57630726401035], [1885,
0.602611009395059], [1886, 3.42964136851057], [1887, 0.739547711852006],
[1888, 2.57630726401035], [1889, 0.602611009395059], [1890,
3.42964136851057], [1891, 0.739547711852006], [1892, 2.57630726401035],
[1893, 0.602611009395059], [1894, 3.42964136851057], [1895,
0.739547711852006], [1896, 2.57630726401035], [1897, 0.602611009395059],
[1898, 3.42964136851057], [1899, 0.739547711852006], [1900,
2.57630726401035], [1901, 0.602611009395059], [1902, 3.42964136851057],
[1903, 0.739547711852006], [1904, 2.57630726401035], [1905,
0.602611009395059], [1906, 3.42964136851057], [1907, 0.739547711852006],
[1908, 2.57630726401035], [1909, 0.602611009395059], [1910,
3.42964136851057], [1911, 0.739547711852006], [1912, 2.57630726401035],
[1913, 0.602611009395059], [1914, 3.42964136851057], [1915,
0.739547711852006], [1916, 2.57630726401035], [1917, 0.602611009395059],
[1918, 3.42964136851057], [1919, 0.739547711852006], [1920,
2.57630726401035], [1921, 0.602611009395059], [1922, 3.42964136851057],
[1923, 0.739547711852006], [1924, 2.57630726401035], [1925,
0.602611009395059], [1926, 3.42964136851057], [1927, 0.739547711852006],
[1928, 2.57630726401035], [1929, 0.602611009395059], [1930,
3.42964136851057], [1931, 0.739547711852006], [1932, 2.57630726401035],
[1933, 0.602611009395059], [1934, 3.42964136851057], [1935,
0.739547711852006], [1936, 2.57630726401035], [1937, 0.602611009395059],
[1938, 3.42964136851057], [1939, 0.739547711852006], [1940,
2.57630726401035], [1941, 0.602611009395059], [1942, 3.42964136851057],
[1943, 0.739547711852006], [1944, 2.57630726401035], [1945,
0.602611009395059], [1946, 3.42964136851057], [1947, 0.739547711852006],
[1948, 2.57630726401035], [1949, 0.602611009395059], [1950,
3.42964136851057], [1951, 0.739547711852006], [1952, 2.57630726401035],
[1953, 0.602611009395059], [1954, 3.42964136851057], [1955,
0.739547711852006], [1956, 2.57630726401035], [1957, 0.602611009395059],
[1958, 3.42964136851057], [1959, 0.739547711852006], [1960,
2.57630726401035], [1961, 0.602611009395059], [1962, 3.42964136851057],
[1963, 0.739547711852006], [1964, 2.57630726401035], [1965,
0.602611009395059], [1966, 3.42964136851057], [1967, 0.739547711852006],
[1968, 2.57630726401035], [1969, 0.602611009395059], [1970,
3.42964136851057], [1971, 0.739547711852006], [1972, 2.57630726401035],
[1973, 0.602611009395059], [1974, 3.42964136851057], [1975,
0.739547711852006], [1976, 2.57630726401035], [1977, 0.602611009395059],
[1978, 3.42964136851057], [1979, 0.739547711852006], [1980,
2.57630726401035], [1981, 0.602611009395059], [1982, 3.42964136851057],
[1983, 0.739547711852006], [1984, 2.57630726401035], [1985,
0.602611009395059], [1986, 3.42964136851057], [1987, 0.739547711852006],
[1988, 2.57630726401035], [1989, 0.602611009395059], [1990,
3.42964136851057], [1991, 0.739547711852006], [1992, 2.57630726401035],
[1993, 0.602611009395059], [1994, 3.42964136851057], [1995,
0.739547711852006], [1996, 2.57630726401035], [1997, 0.602611009395059],
[1998, 3.42964136851057], [1999, 0.739547711852006]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



WARNING: Output truncated!  
full_output.txt



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0.739547711852006], [1956, 2.57630726401035], [1957, 0.602611009395059], [1958, 3.42964136851057], [1959, 0.739547711852006], [1960, 2.57630726401035], [1961, 0.602611009395059], [1962, 3.42964136851057], [1963, 0.739547711852006], [1964, 2.57630726401035], [1965, 0.602611009395059], [1966, 3.42964136851057], [1967, 0.739547711852006], [1968, 2.57630726401035], [1969, 0.602611009395059], [1970, 3.42964136851057], [1971, 0.739547711852006], [1972, 2.57630726401035], [1973, 0.602611009395059], [1974, 3.42964136851057], [1975, 0.739547711852006], [1976, 2.57630726401035], [1977, 0.602611009395059], [1978, 3.42964136851057], [1979, 0.739547711852006], [1980, 2.57630726401035], [1981, 0.602611009395059], [1982, 3.42964136851057], [1983, 0.739547711852006], [1984, 2.57630726401035], [1985, 0.602611009395059], [1986, 3.42964136851057], [1987, 0.739547711852006], [1988, 2.57630726401035], [1989, 0.602611009395059], [1990, 3.42964136851057], [1991, 0.739547711852006], [1992, 2.57630726401035], [1993, 0.602611009395059], [1994, 3.42964136851057], [1995, 0.739547711852006], [1996, 2.57630726401035], [1997, 0.602611009395059], [1998, 3.42964136851057], [1999, 0.739547711852006]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here's 2d. c=1.92 x = var('x') def f(x): return 3/x+x/2-1.92 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) print p q = scatter_plot(p, color='red') q 
        
WARNING: Output truncated!  
full_output.txt



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[3, 0.831681778145346], [4, 2.10298977562158], [5, 0.558035346911829],
[6, 3.73502121266184], [7, 0.750718895973268], [8, 2.45152900771332],
[9, 0.529490590948026], [10, 4.01056835500875], [11, 0.833307832618828],
[12, 2.09676408276727], [13, 0.559158171448138], [14, 3.72478727400904],
[15, 0.747808759885096], [16, 2.46562523817502], [17,
0.529542539576362], [18, 4.01003850667536], [19, 0.833141745180593],
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[23, 0.748107271046631], [24, 2.46417372940087], [25,
0.529533493647903], [26, 4.01013076248479], [27, 0.833170662014117],
[28, 2.09728820831165], [29, 0.559062674245936], [30, 3.72565599219210],
[31, 0.748055318824485], [32, 2.46442625495232], [33,
0.529535006745800], [34, 4.01011533077372], [35, 0.833165825014572],
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[87, 0.748062756393781], [88, 2.46439010058835], [89,
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[105, 0.529534788546563], [106, 4.01011755612805], [107,
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[110, 3.72568219260058], [111, 0.748062756365169], [112,
2.46439010072744], [113, 0.529534788546591], [114, 4.01011755612777],
[115, 0.833166522540294], [116, 2.09730402817412], [117,
0.559059794599337], [118, 3.72568219260113], [119, 0.748062756365327],
[120, 2.46439010072667], [121, 0.529534788546586], [122,
4.01011755612781], [123, 0.833166522540308], [124, 2.09730402817406],
[125, 0.559059794599347], [126, 3.72568219260105], [127,
0.748062756365303], [128, 2.46439010072679], [129, 0.529534788546587],
[130, 4.01011755612780], [131, 0.833166522540306], [132,
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[145, 0.529534788546587], [146, 4.01011755612781], [147,
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[150, 3.72568219260106], [151, 0.748062756365305], [152,
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[155, 0.833166522540306], [156, 2.09730402817407], [157,
0.559059794599346], [158, 3.72568219260106], [159, 0.748062756365305],
[160, 2.46439010072678], [161, 0.529534788546587], [162,
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[165, 0.559059794599346], [166, 3.72568219260106], [167,
0.748062756365305], [168, 2.46439010072678], [169, 0.529534788546587],
[170, 4.01011755612781], [171, 0.833166522540306], [172,
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[1703, 0.748062756365305], [1704, 2.46439010072678], [1705,
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[1863, 0.748062756365305], [1864, 2.46439010072678], [1865,
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[1868, 2.09730402817407], [1869, 0.559059794599346], [1870,
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[1873, 0.529534788546587], [1874, 4.01011755612781], [1875,
0.833166522540306], [1876, 2.09730402817407], [1877, 0.559059794599346],
[1878, 3.72568219260106], [1879, 0.748062756365305], [1880,
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[1883, 0.833166522540306], [1884, 2.09730402817407], [1885,
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[1893, 0.559059794599346], [1894, 3.72568219260106], [1895,
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[1898, 4.01011755612781], [1899, 0.833166522540306], [1900,
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[1903, 0.748062756365305], [1904, 2.46439010072678], [1905,
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[1928, 2.46439010072678], [1929, 0.529534788546587], [1930,
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[1933, 0.559059794599346], [1934, 3.72568219260106], [1935,
0.748062756365305], [1936, 2.46439010072678], [1937, 0.529534788546587],
[1938, 4.01011755612781], [1939, 0.833166522540306], [1940,
2.09730402817407], [1941, 0.559059794599346], [1942, 3.72568219260106],
[1943, 0.748062756365305], [1944, 2.46439010072678], [1945,
0.529534788546587], [1946, 4.01011755612781], [1947, 0.833166522540306],
[1948, 2.09730402817407], [1949, 0.559059794599346], [1950,
3.72568219260106], [1951, 0.748062756365305], [1952, 2.46439010072678],
[1953, 0.529534788546587], [1954, 4.01011755612781], [1955,
0.833166522540306], [1956, 2.09730402817407], [1957, 0.559059794599346],
[1958, 3.72568219260106], [1959, 0.748062756365305], [1960,
2.46439010072678], [1961, 0.529534788546587], [1962, 4.01011755612781],
[1963, 0.833166522540306], [1964, 2.09730402817407], [1965,
0.559059794599346], [1966, 3.72568219260106], [1967, 0.748062756365305],
[1968, 2.46439010072678], [1969, 0.529534788546587], [1970,
4.01011755612781], [1971, 0.833166522540306], [1972, 2.09730402817407],
[1973, 0.559059794599346], [1974, 3.72568219260106], [1975,
0.748062756365305], [1976, 2.46439010072678], [1977, 0.529534788546587],
[1978, 4.01011755612781], [1979, 0.833166522540306], [1980,
2.09730402817407], [1981, 0.559059794599346], [1982, 3.72568219260106],
[1983, 0.748062756365305], [1984, 2.46439010072678], [1985,
0.529534788546587], [1986, 4.01011755612781], [1987, 0.833166522540306],
[1988, 2.09730402817407], [1989, 0.559059794599346], [1990,
3.72568219260106], [1991, 0.748062756365305], [1992, 2.46439010072678],
[1993, 0.529534788546587], [1994, 4.01011755612781], [1995,
0.833166522540306], [1996, 2.09730402817407], [1997, 0.559059794599346],
[1998, 3.72568219260106], [1999, 0.748062756365305]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



WARNING: Output truncated!  
full_output.txt



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2.46439010072678], [1881, 0.529534788546587], [1882, 4.01011755612781], [1883, 0.833166522540306], [1884, 2.09730402817407], [1885, 0.559059794599346], [1886, 3.72568219260106], [1887, 0.748062756365305], [1888, 2.46439010072678], [1889, 0.529534788546587], [1890, 4.01011755612781], [1891, 0.833166522540306], [1892, 2.09730402817407], [1893, 0.559059794599346], [1894, 3.72568219260106], [1895, 0.748062756365305], [1896, 2.46439010072678], [1897, 0.529534788546587], [1898, 4.01011755612781], [1899, 0.833166522540306], [1900, 2.09730402817407], [1901, 0.559059794599346], [1902, 3.72568219260106], [1903, 0.748062756365305], [1904, 2.46439010072678], [1905, 0.529534788546587], [1906, 4.01011755612781], [1907, 0.833166522540306], [1908, 2.09730402817407], [1909, 0.559059794599346], [1910, 3.72568219260106], [1911, 0.748062756365305], [1912, 2.46439010072678], [1913, 0.529534788546587], [1914, 4.01011755612781], [1915, 0.833166522540306], [1916, 2.09730402817407], [1917, 0.559059794599346], [1918, 3.72568219260106], [1919, 0.748062756365305], [1920, 2.46439010072678], [1921, 0.529534788546587], [1922, 4.01011755612781], [1923, 0.833166522540306], [1924, 2.09730402817407], [1925, 0.559059794599346], [1926, 3.72568219260106], [1927, 0.748062756365305], [1928, 2.46439010072678], [1929, 0.529534788546587], [1930, 4.01011755612781], [1931, 0.833166522540306], [1932, 2.09730402817407], [1933, 0.559059794599346], [1934, 3.72568219260106], [1935, 0.748062756365305], [1936, 2.46439010072678], [1937, 0.529534788546587], [1938, 4.01011755612781], [1939, 0.833166522540306], [1940, 2.09730402817407], [1941, 0.559059794599346], [1942, 3.72568219260106], [1943, 0.748062756365305], [1944, 2.46439010072678], [1945, 0.529534788546587], [1946, 4.01011755612781], [1947, 0.833166522540306], [1948, 2.09730402817407], [1949, 0.559059794599346], [1950, 3.72568219260106], [1951, 0.748062756365305], [1952, 2.46439010072678], [1953, 0.529534788546587], [1954, 4.01011755612781], [1955, 0.833166522540306], [1956, 2.09730402817407], [1957, 0.559059794599346], [1958, 3.72568219260106], [1959, 0.748062756365305], [1960, 2.46439010072678], [1961, 0.529534788546587], [1962, 4.01011755612781], [1963, 0.833166522540306], [1964, 2.09730402817407], [1965, 0.559059794599346], [1966, 3.72568219260106], [1967, 0.748062756365305], [1968, 2.46439010072678], [1969, 0.529534788546587], [1970, 4.01011755612781], [1971, 0.833166522540306], [1972, 2.09730402817407], [1973, 0.559059794599346], [1974, 3.72568219260106], [1975, 0.748062756365305], [1976, 2.46439010072678], [1977, 0.529534788546587], [1978, 4.01011755612781], [1979, 0.833166522540306], [1980, 2.09730402817407], [1981, 0.559059794599346], [1982, 3.72568219260106], [1983, 0.748062756365305], [1984, 2.46439010072678], [1985, 0.529534788546587], [1986, 4.01011755612781], [1987, 0.833166522540306], [1988, 2.09730402817407], [1989, 0.559059794599346], [1990, 3.72568219260106], [1991, 0.748062756365305], [1992, 2.46439010072678], [1993, 0.529534788546587], [1994, 4.01011755612781], [1995, 0.833166522540306], [1996, 2.09730402817407], [1997, 0.559059794599346], [1998, 3.72568219260106], [1999, 0.748062756365305]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here's my solution to 2e. c=1.999999 x = var('x') def f(x): return 3/x+x/2-1.999999 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) print p q = scatter_plot(p, color='red') q 
        
WARNING: Output truncated!  
full_output.txt



[[0, 2.50000000000000], [1, 0.450001000000000], [2, 4.89165335188477],
[3, 1.05911724987429], [4, 1.36210720204069], [5, 0.883524418010844],
[6, 1.83725510356354], [7, 0.551499237067226], [8, 3.71546802585671],
[9, 0.665170302136170], [10, 2.84270933360586], [11, 0.476686918765516],
[12, 4.53178336424961], [13, 0.927883726018569], [14, 1.69710658371879],
[15, 0.616268841305215], [16, 3.17614074385896], [17,
0.532613897571794], [18, 3.89890599716035], [19, 0.718900608009835],
[20, 2.53248992238227], [21, 0.450850872541759], [22, 4.87951137368470],
[23, 1.05457234567636], [24, 1.37204221719308], [25, 0.872543749408289],
[26, 1.87449588877586], [27, 0.537679234986835], [28, 3.84837541219951],
[29, 0.703738432586904], [30, 2.61481772787409], [31,
0.454717367637914], [32, 4.82486444943606], [33, 1.03421235062708], [34,
1.41786541725582], [35, 0.824790378442377], [36, 2.04968401217752], [37,
0.488483246328960], [38, 4.38570197217091], [39, 0.876892994579930],
[40, 1.85961749014312], [41, 0.543044733396560], [42, 3.79593013377255],
[43, 0.688286197730855], [44, 2.70279608097754], [45,
0.461360691356256], [46, 4.73318590708960], [47, 1.00041651173049], [48,
1.49896024090316], [49, 0.750868427557492], [50, 2.37080895689741], [51,
0.450796344832975], [52, 4.88028897883569], [53, 1.05486318605632], [54,
1.37140329904523], [55, 0.873242961033170], [56, 1.87209248585230], [57,
0.538532174985584], [58, 3.83996488299648], [59, 0.701240586136233],
[60, 2.62875359075742], [61, 0.455603055345207], [62, 4.81248181110480],
[63, 1.02962088499654], [64, 1.42850525321587], [65, 0.814350908886989],
[66, 2.09109203341698], [67, 0.480204101168710], [68, 4.48744661282938],
[69, 0.912255936723818], [70, 1.74467977875607], [71,
0.591854141339349], [72, 3.36474450779232], [73, 0.573971410324495],
[74, 3.51372787386253], [75, 0.610659000585431], [76, 3.21805592827124],
[77, 0.541268821636052], [78, 3.81316784586966], [79,
0.693332352175202], [80, 2.67359637618630], [81, 0.458883294251048],
[82, 4.76705261807980], [83, 1.01284698313413], [84, 1.46837239678457],
[85, 0.777265648088949], [86, 2.24831809978219], [87,
0.458490810422992], [88, 4.77245279408606], [89, 1.01483497671727], [90,
1.46356413649566], [91, 0.781573661766443], [92, 2.22919762736954], [93,
0.460375514845913], [94, 4.74660829594705], [95, 1.00533539208733], [96,
1.48674746578761], [97, 0.761202285342825], [98, 2.32173586988938], [99,
0.453005581023616], [100, 4.84893875747440], [101, 1.04316245757108],
[102, 1.39745259607738], [103, 0.845490636144708], [104,
1.97098194807233], [105, 0.507575929667557], [106, 4.16423472211168],
[107, 0.802538846498290], [108, 2.13940722882544], [109,
0.471962192857492], [110, 4.59242344999676], [111, 0.949462590274220],
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1.04511975039234], [1890, 1.39304533295692], [1891, 0.850078851672693],
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1.40103726348518], [1925, 0.841790301829759], [1926, 1.98472908350990],
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0.816081314464056], [1930, 2.08414592138882], [1931, 0.481512518816520],
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1.76257095659964], [1935, 0.583345614567228], [1936, 3.43442267705208],
[1937, 0.590721595276882], [1938, 3.37389629508448], [1939,
0.576128819238368], [1940, 3.49523418823704], [1941, 0.605929680248080],
[1942, 3.25403540775396], [1943, 0.548950897009045], [1944,
3.73944611399825], [1945, 0.671981907104196], [1946, 2.80039786728874],
[1947, 0.471476281567213], [1948, 4.59873154843524], [1949,
0.951720574043309], [1950, 1.62804700394352], [1951, 0.656723141957754],
[1952, 2.89649761652747], [1953, 0.483983441490962], [1954,
4.44055189202246], [1955, 0.895868645635226], [1956, 1.79664053157376],
[1957, 0.568104367792354], [1958, 3.56477301299723], [1959,
0.623955816475699], [1960, 3.12001165796836], [1961, 0.521541697720373],
[1962, 4.01294854558993], [1963, 0.754055254426397], [1964,
2.35551691754687], [1965, 0.451365255298268], [1966, 4.87218546797702],
[1967, 1.05183384070609], [1968, 1.37807943474787], [1969,
0.865983442412763], [1970, 1.89726218996382], [1971, 0.529857934968321],
[1972, 3.92682498124736], [1973, 0.727389479960246], [1974,
2.48803363962085], [1975, 0.449789298228686], [1976, 4.89468528576042],
[1977, 1.06025332447457], [1978, 1.35964012944574], [1979,
0.886287272235405], [1980, 1.82805164536919], [1981, 0.555118313507398],
[1982, 3.68181349699234], [1983, 0.655723600100466], [1984,
2.90296120971607], [1985, 0.484909123613417], [1986, 4.42918180371525],
[1987, 0.891917903125751], [1988, 1.80949822059685], [1989,
0.562668292174543], [1990, 3.61307329754042], [1991, 0.636855705711439],
[1992, 3.02907205365529], [1993, 0.504939350331237], [1994,
4.19377827583492], [1995, 0.812235538337501], [1996, 2.09962866672932],
[1997, 0.478639414278560], [1998, 4.50708702663851], [1999,
0.919162901042616]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



WARNING: Output truncated!  
full_output.txt



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...

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[1880, 4.32790073623841], [1881, 0.857128079608998], [1882, 1.92862538244143], [1883, 0.519825729645890], [1884, 4.03107875510959], [1885, 0.759758037950875], [1886, 2.32850556835590], [1887, 0.452633782392095], [1888, 4.85419260294535], [1889, 1.04511975039234], [1890, 1.39304533295692], [1891, 0.850078851672693], [1892, 1.95412480912258], [1893, 0.512277524966949], [1894, 4.11234046188670], [1895, 0.785682813898141], [1896, 2.21117716867765], [1897, 0.462332970846423], [1898, 4.71999737464288], [1899, 0.995593261190110], [1900, 1.51107636292985], [1901, 0.740878952238158], [1902, 2.41968494572798], [1903, 0.449674305095509], [1904, 4.89633342369252], [1905, 1.06087108402339], [1906, 1.35830134592585], [1907, 0.887792641330023], [1908, 1.82306477524723], [1909, 0.557113972983322], [1910, 3.66345254215166], [1911, 0.650626919831209], [1912, 2.93625186284121], [1913, 0.489837649756976], [1914, 4.36939800961663], [1915, 0.871293442484920], [1916, 1.87880458862807], [1917, 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[1955, 0.895868645635226], [1956, 1.79664053157376], [1957, 0.568104367792354], [1958, 3.56477301299723], [1959, 0.623955816475699], [1960, 3.12001165796836], [1961, 0.521541697720373], [1962, 4.01294854558993], [1963, 0.754055254426397], [1964, 2.35551691754687], [1965, 0.451365255298268], [1966, 4.87218546797702], [1967, 1.05183384070609], [1968, 1.37807943474787], [1969, 0.865983442412763], [1970, 1.89726218996382], [1971, 0.529857934968321], [1972, 3.92682498124736], [1973, 0.727389479960246], [1974, 2.48803363962085], [1975, 0.449789298228686], [1976, 4.89468528576042], [1977, 1.06025332447457], [1978, 1.35964012944574], [1979, 0.886287272235405], [1980, 1.82805164536919], [1981, 0.555118313507398], [1982, 3.68181349699234], [1983, 0.655723600100466], [1984, 2.90296120971607], [1985, 0.484909123613417], [1986, 4.42918180371525], [1987, 0.891917903125751], [1988, 1.80949822059685], [1989, 0.562668292174543], [1990, 3.61307329754042], [1991, 0.636855705711439], [1992, 3.02907205365529], [1993, 0.504939350331237], [1994, 4.19377827583492], [1995, 0.812235538337501], [1996, 2.09962866672932], [1997, 0.478639414278560], [1998, 4.50708702663851], [1999, 0.919162901042616]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#here's 2f. c=1.9 x = var('x') def f(x): return 3/x+x/2-1.9 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) print p q = scatter_plot(p, color='red') q 
        
WARNING: Output truncated!  
full_output.txt



[[0, 2.50000000000000], [1, 0.550000000000000], [2, 3.82954545454545],
[3, 0.798155516590234], [4, 2.25774375463650], [5, 0.557632058290606],
[6, 3.75870758200250], [7, 0.777500476943153], [8, 2.34726877185551],
[9, 0.551715548158064], [10, 3.81344243163614], [11, 0.793411995548254],
[12, 2.27784368769143], [13, 0.555956904772336], [14, 3.77408015424110],
[15, 0.781935754317221], [16, 2.32760021355762], [17,
0.552681239597857], [18, 3.80442426921476], [19, 0.790767718240854],
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2.30491483341086], [1441, 0.554023945981716], [1442, 3.79194037411634],
[1443, 0.787121867732766], [1444, 2.30491483341085], [1445,
0.554023945981716], [1446, 3.79194037411633], [1447, 0.787121867732764],
[1448, 2.30491483341086], [1449, 0.554023945981716], [1450,
3.79194037411634], [1451, 0.787121867732766], [1452, 2.30491483341085],
[1453, 0.554023945981716], [1454, 3.79194037411633], [1455,
0.787121867732764], [1456, 2.30491483341086], [1457, 0.554023945981716],
[1458, 3.79194037411634], [1459, 0.787121867732766], [1460,
2.30491483341085], [1461, 0.554023945981716], [1462, 3.79194037411633],
[1463, 0.787121867732764], [1464, 2.30491483341086], [1465,
0.554023945981716], [1466, 3.79194037411634], [1467, 0.787121867732766],
[1468, 2.30491483341085], [1469, 0.554023945981716], [1470,
3.79194037411633], [1471, 0.787121867732764], [1472, 2.30491483341086],
[1473, 0.554023945981716], [1474, 3.79194037411634], [1475,
0.787121867732766], [1476, 2.30491483341085], [1477, 0.554023945981716],
[1478, 3.79194037411633], [1479, 0.787121867732764], [1480,
2.30491483341086], [1481, 0.554023945981716], [1482, 3.79194037411634],
[1483, 0.787121867732766], [1484, 2.30491483341085], [1485,
0.554023945981716], [1486, 3.79194037411633], [1487, 0.787121867732764],
[1488, 2.30491483341086], [1489, 0.554023945981716], [1490,
3.79194037411634], [1491, 0.787121867732766], [1492, 2.30491483341085],
[1493, 0.554023945981716], [1494, 3.79194037411633], [1495,
0.787121867732764], [1496, 2.30491483341086], [1497, 0.554023945981716],
[1498, 3.79194037411634], [1499, 0.787121867732766], [1500,
2.30491483341085], [1501, 0.554023945981716], [1502, 3.79194037411633],
[1503, 0.787121867732764], [1504, 2.30491483341086], [1505,
0.554023945981716], [1506, 3.79194037411634], [1507, 0.787121867732766],
[1508, 2.30491483341085], [1509, 0.554023945981716], [1510,
3.79194037411633], [1511, 0.787121867732764], [1512, 2.30491483341086],
[1513, 0.554023945981716], [1514, 3.79194037411634], [1515,
0.787121867732766], [1516, 2.30491483341085], [1517, 0.554023945981716],
[1518, 3.79194037411633], [1519, 0.787121867732764], [1520,
2.30491483341086], [1521, 0.554023945981716], [1522, 3.79194037411634],
[1523, 0.787121867732766], [1524, 2.30491483341085], [1525,
0.554023945981716], [1526, 3.79194037411633], [1527, 0.787121867732764],
[1528, 2.30491483341086], [1529, 0.554023945981716], [1530,
3.79194037411634], [1531, 0.787121867732766], [1532, 2.30491483341085],
[1533, 0.554023945981716], [1534, 3.79194037411633], [1535,
0.787121867732764], [1536, 2.30491483341086], [1537, 0.554023945981716],
[1538, 3.79194037411634], [1539, 0.787121867732766], [1540,
2.30491483341085], [1541, 0.554023945981716], [1542, 3.79194037411633],
[1543, 0.787121867732764], [1544, 2.30491483341086], [1545,
0.554023945981716], [1546, 3.79194037411634], [1547, 0.787121867732766],
[1548, 2.30491483341085], [1549, 0.554023945981716], [1550,
3.79194037411633], [1551, 0.787121867732764], [1552, 2.30491483341086],
[1553, 0.554023945981716], [1554, 3.79194037411634], [1555,
0.787121867732766], [1556, 2.30491483341085], [1557, 0.554023945981716],
[1558, 3.79194037411633], [1559, 0.787121867732764], [1560,
2.30491483341086], [1561, 0.554023945981716], [1562, 3.79194037411634],
[1563, 0.787121867732766], [1564, 2.30491483341085], [1565,
0.554023945981716], [1566, 3.79194037411633], [1567, 0.787121867732764],
[1568, 2.30491483341086], [1569, 0.554023945981716], [1570,
3.79194037411634], [1571, 0.787121867732766], [1572, 2.30491483341085],
[1573, 0.554023945981716], [1574, 3.79194037411633], [1575,
0.787121867732764], [1576, 2.30491483341086], [1577, 0.554023945981716],
[1578, 3.79194037411634], [1579, 0.787121867732766], [1580,
2.30491483341085], [1581, 0.554023945981716], [1582, 3.79194037411633],
[1583, 0.787121867732764], [1584, 2.30491483341086], [1585,
0.554023945981716], [1586, 3.79194037411634], [1587, 0.787121867732766],
[1588, 2.30491483341085], [1589, 0.554023945981716], [1590,
3.79194037411633], [1591, 0.787121867732764], [1592, 2.30491483341086],
[1593, 0.554023945981716], [1594, 3.79194037411634], [1595,
0.787121867732766], [1596, 2.30491483341085], [1597, 0.554023945981716],
[1598, 3.79194037411633], [1599, 0.787121867732764], [1600,
2.30491483341086], [1601, 0.554023945981716], [1602, 3.79194037411634],
[1603, 0.787121867732766], [1604, 2.30491483341085], [1605,
0.554023945981716], [1606, 3.79194037411633], [1607, 0.787121867732764],
[1608, 2.30491483341086], [1609, 0.554023945981716], [1610,
3.79194037411634], [1611, 0.787121867732766], [1612, 2.30491483341085],
[1613, 0.554023945981716], [1614, 3.79194037411633], [1615,
0.787121867732764], [1616, 2.30491483341086], [1617, 0.554023945981716],
[1618, 3.79194037411634], [1619, 0.787121867732766], [1620,
2.30491483341085], [1621, 0.554023945981716], [1622, 3.79194037411633],
[1623, 0.787121867732764], [1624, 2.30491483341086], [1625,
0.554023945981716], [1626, 3.79194037411634], [1627, 0.787121867732766],
[1628, 2.30491483341085], [1629, 0.554023945981716], [1630,
3.79194037411633], [1631, 0.787121867732764], [1632, 2.30491483341086],
[1633, 0.554023945981716], [1634, 3.79194037411634], [1635,
0.787121867732766], [1636, 2.30491483341085], [1637, 0.554023945981716],
[1638, 3.79194037411633], [1639, 0.787121867732764], [1640,
2.30491483341086], [1641, 0.554023945981716], [1642, 3.79194037411634],
[1643, 0.787121867732766], [1644, 2.30491483341085], [1645,
0.554023945981716], [1646, 3.79194037411633], [1647, 0.787121867732764],
[1648, 2.30491483341086], [1649, 0.554023945981716], [1650,
3.79194037411634], [1651, 0.787121867732766], [1652, 2.30491483341085],
[1653, 0.554023945981716], [1654, 3.79194037411633], [1655,
0.787121867732764], [1656, 2.30491483341086], [1657, 0.554023945981716],
[1658, 3.79194037411634], [1659, 0.787121867732766], [1660,
2.30491483341085], [1661, 0.554023945981716], [1662, 3.79194037411633],
[1663, 0.787121867732764], [1664, 2.30491483341086], [1665,
0.554023945981716], [1666, 3.79194037411634], [1667, 0.787121867732766],
[1668, 2.30491483341085], [1669, 0.554023945981716], [1670,
3.79194037411633], [1671, 0.787121867732764], [1672, 2.30491483341086],
[1673, 0.554023945981716], [1674, 3.79194037411634], [1675,
0.787121867732766], [1676, 2.30491483341085], [1677, 0.554023945981716],
[1678, 3.79194037411633], [1679, 0.787121867732764], [1680,
2.30491483341086], [1681, 0.554023945981716], [1682, 3.79194037411634],
[1683, 0.787121867732766], [1684, 2.30491483341085], [1685,
0.554023945981716], [1686, 3.79194037411633], [1687, 0.787121867732764],
[1688, 2.30491483341086], [1689, 0.554023945981716], [1690,
3.79194037411634], [1691, 0.787121867732766], [1692, 2.30491483341085],
[1693, 0.554023945981716], [1694, 3.79194037411633], [1695,
0.787121867732764], [1696, 2.30491483341086], [1697, 0.554023945981716],
[1698, 3.79194037411634], [1699, 0.787121867732766], [1700,
2.30491483341085], [1701, 0.554023945981716], [1702, 3.79194037411633],
[1703, 0.787121867732764], [1704, 2.30491483341086], [1705,
0.554023945981716], [1706, 3.79194037411634], [1707, 0.787121867732766],
[1708, 2.30491483341085], [1709, 0.554023945981716], [1710,
3.79194037411633], [1711, 0.787121867732764], [1712, 2.30491483341086],
[1713, 0.554023945981716], [1714, 3.79194037411634], [1715,
0.787121867732766], [1716, 2.30491483341085], [1717, 0.554023945981716],
[1718, 3.79194037411633], [1719, 0.787121867732764], [1720,
2.30491483341086], [1721, 0.554023945981716], [1722, 3.79194037411634],
[1723, 0.787121867732766], [1724, 2.30491483341085], [1725,
0.554023945981716], [1726, 3.79194037411633], [1727, 0.787121867732764],
[1728, 2.30491483341086], [1729, 0.554023945981716], [1730,
3.79194037411634], [1731, 0.787121867732766], [1732, 2.30491483341085],
[1733, 0.554023945981716], [1734, 3.79194037411633], [1735,
0.787121867732764], [1736, 2.30491483341086], [1737, 0.554023945981716],
[1738, 3.79194037411634], [1739, 0.787121867732766], [1740,
2.30491483341085], [1741, 0.554023945981716], [1742, 3.79194037411633],
[1743, 0.787121867732764], [1744, 2.30491483341086], [1745,
0.554023945981716], [1746, 3.79194037411634], [1747, 0.787121867732766],
[1748, 2.30491483341085], [1749, 0.554023945981716], [1750,
3.79194037411633], [1751, 0.787121867732764], [1752, 2.30491483341086],
[1753, 0.554023945981716], [1754, 3.79194037411634], [1755,
0.787121867732766], [1756, 2.30491483341085], [1757, 0.554023945981716],
[1758, 3.79194037411633], [1759, 0.787121867732764], [1760,
2.30491483341086], [1761, 0.554023945981716], [1762, 3.79194037411634],
[1763, 0.787121867732766], [1764, 2.30491483341085], [1765,
0.554023945981716], [1766, 3.79194037411633], [1767, 0.787121867732764],
[1768, 2.30491483341086], [1769, 0.554023945981716], [1770,
3.79194037411634], [1771, 0.787121867732766], [1772, 2.30491483341085],
[1773, 0.554023945981716], [1774, 3.79194037411633], [1775,
0.787121867732764], [1776, 2.30491483341086], [1777, 0.554023945981716],
[1778, 3.79194037411634], [1779, 0.787121867732766], [1780,
2.30491483341085], [1781, 0.554023945981716], [1782, 3.79194037411633],
[1783, 0.787121867732764], [1784, 2.30491483341086], [1785,
0.554023945981716], [1786, 3.79194037411634], [1787, 0.787121867732766],
[1788, 2.30491483341085], [1789, 0.554023945981716], [1790,
3.79194037411633], [1791, 0.787121867732764], [1792, 2.30491483341086],
[1793, 0.554023945981716], [1794, 3.79194037411634], [1795,
0.787121867732766], [1796, 2.30491483341085], [1797, 0.554023945981716],
[1798, 3.79194037411633], [1799, 0.787121867732764], [1800,
2.30491483341086], [1801, 0.554023945981716], [1802, 3.79194037411634],
[1803, 0.787121867732766], [1804, 2.30491483341085], [1805,
0.554023945981716], [1806, 3.79194037411633], [1807, 0.787121867732764],
[1808, 2.30491483341086], [1809, 0.554023945981716], [1810,
3.79194037411634], [1811, 0.787121867732766], [1812, 2.30491483341085],
[1813, 0.554023945981716], [1814, 3.79194037411633], [1815,
0.787121867732764], [1816, 2.30491483341086], [1817, 0.554023945981716],
[1818, 3.79194037411634], [1819, 0.787121867732766], [1820,
2.30491483341085], [1821, 0.554023945981716], [1822, 3.79194037411633],
[1823, 0.787121867732764], [1824, 2.30491483341086], [1825,
0.554023945981716], [1826, 3.79194037411634], [1827, 0.787121867732766],
[1828, 2.30491483341085], [1829, 0.554023945981716], [1830,
3.79194037411633], [1831, 0.787121867732764], [1832, 2.30491483341086],
[1833, 0.554023945981716], [1834, 3.79194037411634], [1835,
0.787121867732766], [1836, 2.30491483341085], [1837, 0.554023945981716],
[1838, 3.79194037411633], [1839, 0.787121867732764], [1840,
2.30491483341086], [1841, 0.554023945981716], [1842, 3.79194037411634],
[1843, 0.787121867732766], [1844, 2.30491483341085], [1845,
0.554023945981716], [1846, 3.79194037411633], [1847, 0.787121867732764],
[1848, 2.30491483341086], [1849, 0.554023945981716], [1850,
3.79194037411634], [1851, 0.787121867732766], [1852, 2.30491483341085],
[1853, 0.554023945981716], [1854, 3.79194037411633], [1855,
0.787121867732764], [1856, 2.30491483341086], [1857, 0.554023945981716],
[1858, 3.79194037411634], [1859, 0.787121867732766], [1860,
2.30491483341085], [1861, 0.554023945981716], [1862, 3.79194037411633],
[1863, 0.787121867732764], [1864, 2.30491483341086], [1865,
0.554023945981716], [1866, 3.79194037411634], [1867, 0.787121867732766],
[1868, 2.30491483341085], [1869, 0.554023945981716], [1870,
3.79194037411633], [1871, 0.787121867732764], [1872, 2.30491483341086],
[1873, 0.554023945981716], [1874, 3.79194037411634], [1875,
0.787121867732766], [1876, 2.30491483341085], [1877, 0.554023945981716],
[1878, 3.79194037411633], [1879, 0.787121867732764], [1880,
2.30491483341086], [1881, 0.554023945981716], [1882, 3.79194037411634],
[1883, 0.787121867732766], [1884, 2.30491483341085], [1885,
0.554023945981716], [1886, 3.79194037411633], [1887, 0.787121867732764],
[1888, 2.30491483341086], [1889, 0.554023945981716], [1890,
3.79194037411634], [1891, 0.787121867732766], [1892, 2.30491483341085],
[1893, 0.554023945981716], [1894, 3.79194037411633], [1895,
0.787121867732764], [1896, 2.30491483341086], [1897, 0.554023945981716],
[1898, 3.79194037411634], [1899, 0.787121867732766], [1900,
2.30491483341085], [1901, 0.554023945981716], [1902, 3.79194037411633],
[1903, 0.787121867732764], [1904, 2.30491483341086], [1905,
0.554023945981716], [1906, 3.79194037411634], [1907, 0.787121867732766],
[1908, 2.30491483341085], [1909, 0.554023945981716], [1910,
3.79194037411633], [1911, 0.787121867732764], [1912, 2.30491483341086],
[1913, 0.554023945981716], [1914, 3.79194037411634], [1915,
0.787121867732766], [1916, 2.30491483341085], [1917, 0.554023945981716],
[1918, 3.79194037411633], [1919, 0.787121867732764], [1920,
2.30491483341086], [1921, 0.554023945981716], [1922, 3.79194037411634],
[1923, 0.787121867732766], [1924, 2.30491483341085], [1925,
0.554023945981716], [1926, 3.79194037411633], [1927, 0.787121867732764],
[1928, 2.30491483341086], [1929, 0.554023945981716], [1930,
3.79194037411634], [1931, 0.787121867732766], [1932, 2.30491483341085],
[1933, 0.554023945981716], [1934, 3.79194037411633], [1935,
0.787121867732764], [1936, 2.30491483341086], [1937, 0.554023945981716],
[1938, 3.79194037411634], [1939, 0.787121867732766], [1940,
2.30491483341085], [1941, 0.554023945981716], [1942, 3.79194037411633],
[1943, 0.787121867732764], [1944, 2.30491483341086], [1945,
0.554023945981716], [1946, 3.79194037411634], [1947, 0.787121867732766],
[1948, 2.30491483341085], [1949, 0.554023945981716], [1950,
3.79194037411633], [1951, 0.787121867732764], [1952, 2.30491483341086],
[1953, 0.554023945981716], [1954, 3.79194037411634], [1955,
0.787121867732766], [1956, 2.30491483341085], [1957, 0.554023945981716],
[1958, 3.79194037411633], [1959, 0.787121867732764], [1960,
2.30491483341086], [1961, 0.554023945981716], [1962, 3.79194037411634],
[1963, 0.787121867732766], [1964, 2.30491483341085], [1965,
0.554023945981716], [1966, 3.79194037411633], [1967, 0.787121867732764],
[1968, 2.30491483341086], [1969, 0.554023945981716], [1970,
3.79194037411634], [1971, 0.787121867732766], [1972, 2.30491483341085],
[1973, 0.554023945981716], [1974, 3.79194037411633], [1975,
0.787121867732764], [1976, 2.30491483341086], [1977, 0.554023945981716],
[1978, 3.79194037411634], [1979, 0.787121867732766], [1980,
2.30491483341085], [1981, 0.554023945981716], [1982, 3.79194037411633],
[1983, 0.787121867732764], [1984, 2.30491483341086], [1985,
0.554023945981716], [1986, 3.79194037411634], [1987, 0.787121867732766],
[1988, 2.30491483341085], [1989, 0.554023945981716], [1990,
3.79194037411633], [1991, 0.787121867732764], [1992, 2.30491483341086],
[1993, 0.554023945981716], [1994, 3.79194037411634], [1995,
0.787121867732766], [1996, 2.30491483341085], [1997, 0.554023945981716],
[1998, 3.79194037411633], [1999, 0.787121867732764]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



WARNING: Output truncated!  
full_output.txt



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0.787121867732766], [1956, 2.30491483341085], [1957, 0.554023945981716], [1958, 3.79194037411633], [1959, 0.787121867732764], [1960, 2.30491483341086], [1961, 0.554023945981716], [1962, 3.79194037411634], [1963, 0.787121867732766], [1964, 2.30491483341085], [1965, 0.554023945981716], [1966, 3.79194037411633], [1967, 0.787121867732764], [1968, 2.30491483341086], [1969, 0.554023945981716], [1970, 3.79194037411634], [1971, 0.787121867732766], [1972, 2.30491483341085], [1973, 0.554023945981716], [1974, 3.79194037411633], [1975, 0.787121867732764], [1976, 2.30491483341086], [1977, 0.554023945981716], [1978, 3.79194037411634], [1979, 0.787121867732766], [1980, 2.30491483341085], [1981, 0.554023945981716], [1982, 3.79194037411633], [1983, 0.787121867732764], [1984, 2.30491483341086], [1985, 0.554023945981716], [1986, 3.79194037411634], [1987, 0.787121867732766], [1988, 2.30491483341085], [1989, 0.554023945981716], [1990, 3.79194037411633], [1991, 0.787121867732764], [1992, 2.30491483341086], [1993, 0.554023945981716], [1994, 3.79194037411634], [1995, 0.787121867732766], [1996, 2.30491483341085], [1997, 0.554023945981716], [1998, 3.79194037411633], [1999, 0.787121867732764]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#This is 2f #The 8 cycle changed into a 4 cycle when the value was altered by only .02. This shows that the period doubles with only a small change in c values 
       
#here's 2d. c=1.94 x = var('x') def f(x): return 3/x+x/2-1.94 p = [] x = 2.5 for n in range (2000): if (n < 1000): p += [[n,x]] if (n > 1000): p += [[n,x]] x = f(x) print p q = scatter_plot(p, color='red') q 
        
WARNING: Output truncated!  
full_output.txt



[[0, 2.50000000000000], [1, 0.510000000000000], [2, 4.19735294117647],
[3, 0.873412648851846], [4, 1.93150888189252], [5, 0.578944295843823],
[6, 3.53131783072191], [7, 0.675200118902725], [8, 2.84072723910194],
[9, 0.536431220377163], [10, 3.92073126930833], [11, 0.785529017180313],
[12, 2.27184685231900], [13, 0.516434972497993], [14, 4.12727411440301],
[15, 0.850509059603974], [16, 2.01255381735678], [17,
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1.97552513328188], [1781, 0.566346131819983], [1782, 3.64028702404606],
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0.518750640894145], [1786, 4.10250070575560], [1787, 0.842511653038250],
[1788, 2.04203743610453], [1789, 0.550139678793766], [1790,
3.78823040141594], [1791, 0.746041689360478], [1792, 2.45424384439177],
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0.875255441185907], [1796, 1.92519852887633], [1797, 0.580880114440161],
[1798, 3.51501692157243], [1799, 0.670989416052273], [1800,
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0.513294564390814], [1806, 4.16124453321140], [1807, 0.861560432112829],
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3.63386965207515], [1811, 0.702501037056406], [1812, 2.68170684777505],
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0.839801213696078], [1816, 2.05217455819969], [1817, 0.547951226303151],
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[1823, 0.874819525284704], [1824, 1.92668850333309], [1825,
0.580420029515494], [1826, 3.51888071432725], [1827, 0.671984175368486],
[1828, 2.86038293194026], [1829, 0.539002087268669], [1830,
3.89534219872550], [1831, 0.777821665590682], [1832, 2.30583605449353],
[1833, 0.513964558353653], [1834, 4.15396062960957], [1835,
0.859182633867683], [1836, 1.98128200264434], [1837, 0.564812126884315],
[1838, 3.65390675049178], [1839, 0.707992390430455], [1840,
2.65132987358431], [1841, 0.517172573729209], [1842, 4.11935792942815],
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0.554696467217602], [1846, 3.74571150487357], [1847, 0.733771678849346],
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4.19347186112730], [1851, 0.872133600882948], [1852, 1.93590674808573],
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2.24242686902071], [1861, 0.519049705313750], [1862, 4.09931813504895],
[1863, 0.841488094003334], [1864, 2.04585687673603], [1865,
0.549306675337463], [1866, 3.79608341797309], [1867, 0.748329927047316],
[1868, 2.44309189744583], [1869, 0.509498119959862], [1870,
4.20289640041828], [1871, 0.875241668851725], [1872, 1.92524557712791],
[1873, 0.580865558026860], [1874, 3.51513906697220], [1875,
0.671020831668757], [1876, 2.86631051385715], [1877, 0.539796918917578],
[1878, 3.88754411259760], [1879, 0.775467479709814], [1880,
2.31636792309960], [1881, 0.513315002729826], [1882, 4.16102204174636],
[1883, 0.861487735224088], [1884, 1.97309176107294], [1885,
0.567002282609044], [1886, 3.63448513204895], [1887, 0.702668971967356],
[1888, 2.68077019423830], [1889, 0.519466473974135], [1890,
4.09488938334768], [1891, 0.840065214269599], [1892, 2.05118392853355],
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0.751497562030242], [1896, 2.42777769977198], [1897, 0.509586830093059],
[1898, 4.20191573226212], [1899, 0.874917924150819], [1900,
1.92635202414377], [1901, 0.580523766999204], [1902, 3.51800896043213],
[1903, 0.671759556664620], [1904, 2.86176339730964], [1905,
0.539186391775264], [1906, 3.89353183707355], [1907, 0.777274578934646],
[1908, 2.30827721762744], [1909, 0.513809193044303], [1910,
4.15564792889636], [1911, 0.859733050908431], [1912, 1.97932176604322],
[1913, 0.565331579654818], [1914, 3.64928602468454], [1915,
0.706721627092489], [1916, 2.65831368465371], [1917, 0.517691829495158],
[1918, 4.11379926165578], [1919, 0.846152520720364], [1920,
2.02853635949926], [1921, 0.553166985754047], [1922, 3.75990064169523],
[1923, 0.737843745671572], [1924, 2.49482338328290], [1925,
0.509901623434676], [1926, 4.19843864961070], [1927, 0.873770673621220],
[1928, 1.93028049479517], [1929, 0.579318517389556], [1930,
3.52815763212531], [1931, 0.674380960355693], [1932, 2.84571464731580],
[1933, 0.537074057169719], [1934, 3.91435887186928], [1935,
0.783588469495573], [1936, 2.28033449125669], [1937, 0.515763712507510],
[1938, 4.13449889860979], [1939, 0.852851287295161], [1940,
2.00403773463073], [1941, 0.558996667762217], [1942, 3.70625662245847],
[1943, 0.722570372478088], [1944, 2.57312992588892], [1945,
0.512460229178874], [1946, 4.17034293970948], [1947, 0.864536769872247],
[1948, 1.96233478875526], [1949, 0.569958514624215], [1950,
3.60852023972547], [1951, 0.695625832315614], [1952, 2.72047621966616],
[1953, 0.522986216327516], [1954, 4.05778195544243], [1955,
0.828211136601685], [1956, 2.09637031145510], [1957, 0.539230035349836],
[1958, 3.89310333125465], [1959, 0.777145134317296], [1960,
2.30885537345252], [1961, 0.513772823062792], [1962, 4.15604306858437],
[1963, 0.859861984569775], [1964, 1.97886299978726], [1965,
0.565453579402174], [1966, 3.64820209179706], [1967, 0.706423911933135],
[1968, 2.65995381920627], [1969, 0.517816039116744], [1970,
4.11247131882812], [1971, 0.845724029646604], [1972, 2.03011844225813],
[1973, 0.552805512947909], [1974, 3.76326614646097], [1975,
0.738812938603878], [1976, 2.48997423043110], [1977, 0.509818861398159],
[1978, 4.19935237141848], [1979, 0.874072057896229], [1980,
1.92924733566874], [1981, 0.579634238296090], [1982, 3.52549481689566],
[1983, 0.673691788119793], [1984, 2.84992080591641], [1985,
0.537621232610743], [1986, 3.90894737063648], [1987, 0.781943726622868],
[1988, 2.28756508333339], [1989, 0.515220638819526], [1990,
4.14035842762530], [1991, 0.854754163648733], [1992, 1.99715817162186],
[1993, 0.560713489899589], [1994, 3.69068280993752], [1995,
0.718199121140469], [1996, 2.59621411236213], [1997, 0.513635787696391],
[1998, 4.15753240763767], [1999, 0.860348071584627]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option
'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data
points are:
    alpha          How transparent the marker border is.                

    edgecolor      The color of the marker border.                      

    facecolor      The color of the marker face.                        

    hue            The color given as a hue.                            

    marker         What shape to plot the points.                       

    markersize     the size of the markers.                             

    rgbcolor       The color as an RGB tuple.                           

    zorder         The layer level in which to draw.                    



WARNING: Output truncated!  
full_output.txt



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[1993, 0.560713489899589], [1994, 3.69068280993752], [1995, 0.718199121140469], [1996, 2.59621411236213], [1997, 0.513635787696391], [1998, 4.15753240763767], [1999, 0.860348071584627]]
verbose 0 (138: primitive.py, options) WARNING: Ignoring option 'color'=red
verbose 0 (138: primitive.py, options) 
The allowed options for Scatter plot graphics primitive on 1999 data points are:
    alpha          How transparent the marker border is.                       
    edgecolor      The color of the marker border.                             
    facecolor      The color of the marker face.                               
    hue            The color given as a hue.                                   
    marker         What shape to plot the points.                              
    markersize     the size of the markers.                                    
    rgbcolor       The color as an RGB tuple.                                  
    zorder         The layer level in which to draw.
#It changed into a 16 cycle when the c value was altered by .02 in the other direction. Again this shows how the period stability doubles with only minute changes in c. This means we are close to chaos because we are getting periods of stability for c values that are nearly identical. 
       
#this is 2g #In general the frequency distribution becomes more widespread as c increases. When c is small the function takes on a fixed point and is unchanging causing the frequency histogram to have only 1 peak. As c increases we see two cycles, four cuylce, 2^n cycles and eventually chaos where the function takes on all values within a certain range. The function and becomes less predictable and the frequency distribution becomes more evenly distributed as the function becomes more chaotic.