File: t_KarhunenLoeveQuadratureAlgorithm_std.expout

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KL modes= [field 0:
 0 : [ -0.997152    0.52213    ]
 1 : [ -0.975687    0.533176   ]
 2 : [ -0.945485    0.54841    ]
 3 : [ -0.934372    0.553923   ]
 4 : [ -0.905005    0.568246   ]
 5 : [ -0.887838    0.57645    ]
 6 : [ -0.872969    0.583455   ]
 7 : [ -0.85371     0.592384   ]
 8 : [ -0.823519    0.606054   ]
 9 : [ -0.807677    0.613062   ]
10 : [ -0.794151    0.618956   ]
11 : [ -0.775176    0.627082   ]
12 : [ -0.74529     0.639538   ]
13 : [ -0.723448    0.648374   ]
14 : [ -0.701219    0.657129   ]
15 : [ -0.698789    0.658072   ]
16 : [ -0.667931    0.669788   ]
17 : [ -0.657676    0.673577   ]
18 : [ -0.639273    0.680244   ]
19 : [ -0.618418    0.687592   ]
20 : [ -0.594967    0.695589   ]
21 : [ -0.573032    0.702812   ]
22 : [ -0.555073    0.708538   ]
23 : [ -0.523508    0.71819    ]
24 : [ -0.515387    0.720588   ]
25 : [ -0.497085    0.725862   ]
26 : [ -0.470133    0.733299   ]
27 : [ -0.445757    0.739686   ]
28 : [ -0.423022    0.745348   ]
29 : [ -0.414115    0.747489   ]
30 : [ -0.395004    0.751933   ]
31 : [ -0.363394    0.758837   ]
32 : [ -0.344698    0.762656   ]
33 : [ -0.330302    0.765462   ]
34 : [ -0.307494    0.769667   ]
35 : [ -0.299879    0.771006   ]
36 : [ -0.267949    0.776256   ]
37 : [ -0.255477    0.778147   ]
38 : [ -0.229506    0.781799   ]
39 : [ -0.211218    0.784137   ]
40 : [ -0.186932    0.786942   ]
41 : [ -0.176419    0.78805    ]
42 : [ -0.152021    0.790373   ]
43 : [ -0.135259    0.791767   ]
44 : [ -0.117392    0.793073   ]
45 : [ -0.0829355   0.795063   ]
46 : [ -0.0693938   0.795654   ]
47 : [ -0.0579699   0.796069   ]
48 : [ -0.0265762   0.796816   ]
49 : [ -0.00971196  0.796978   ]
50 : [  0.0160519   0.796902   ]
51 : [  0.0281132   0.796733   ]
52 : [  0.046915    0.796299   ]
53 : [  0.0624505   0.795783   ]
54 : [  0.0984453   0.794045   ]
55 : [  0.109626    0.793351   ]
56 : [  0.134402    0.791553   ]
57 : [  0.151197    0.79013    ]
58 : [  0.179117    0.787402   ]
59 : [  0.186419    0.786614   ]
60 : [  0.211151    0.783715   ]
61 : [  0.229805    0.781295   ]
62 : [  0.244912    0.779189   ]
63 : [  0.269095    0.775545   ]
64 : [  0.280399    0.773727   ]
65 : [  0.318234    0.767114   ]
66 : [  0.3363      0.763671   ]
67 : [  0.34476     0.761996   ]
68 : [  0.366515    0.757503   ]
69 : [  0.388858    0.752615   ]
70 : [  0.405719    0.748743   ]
71 : [  0.435464    0.741531   ]
72 : [  0.440186    0.740342   ]
73 : [  0.462974    0.734432   ]
74 : [  0.494895    0.725683   ]
75 : [  0.502946    0.72339    ]
76 : [  0.537883    0.713043   ]
77 : [  0.554339    0.707948   ]
78 : [  0.577697    0.700474   ]
79 : [  0.587024    0.697411   ]
80 : [  0.619129    0.686528   ]
81 : [  0.637203    0.680173   ]
82 : [  0.656048    0.673373   ]
83 : [  0.677155    0.66555    ]
84 : [  0.6909      0.660338   ]
85 : [  0.714451    0.651196   ]
86 : [  0.730491    0.644818   ]
87 : [  0.753776    0.635345   ]
88 : [  0.778547    0.624991   ]
89 : [  0.788847    0.620603   ]
90 : [  0.811293    0.610875   ]
91 : [  0.828009    0.603484   ]
92 : [  0.851558    0.592865   ]
93 : [  0.870026    0.58437    ]
94 : [  0.887803    0.576057   ]
95 : [  0.913161    0.563971   ]
96 : [  0.93174     0.554949   ]
97 : [  0.955812    0.543055   ]
98 : [  0.97489     0.533468   ]
99 : [  0.987574    0.527016   ]
field 1:
 0 : [ -0.997152    0.798699   ]
 1 : [ -0.975687    0.822805   ]
 2 : [ -0.945485    0.852162   ]
 3 : [ -0.934372    0.86165    ]
 4 : [ -0.905005    0.883412   ]
 5 : [ -0.887838    0.893951   ]
 6 : [ -0.872969    0.901809   ]
 7 : [ -0.85371     0.910266   ]
 8 : [ -0.823519    0.919714   ]
 9 : [ -0.807677    0.922858   ]
10 : [ -0.794151    0.924579   ]
11 : [ -0.775176    0.925526   ]
12 : [ -0.74529     0.923637   ]
13 : [ -0.723448    0.919721   ]
14 : [ -0.701219    0.91361    ]
15 : [ -0.698789    0.912815   ]
16 : [ -0.667931    0.900593   ]
17 : [ -0.657676    0.895678   ]
18 : [ -0.639273    0.885822   ]
19 : [ -0.618418    0.873086   ]
20 : [ -0.594967    0.856841   ]
21 : [ -0.573032    0.839869   ]
22 : [ -0.555073    0.824741   ]
23 : [ -0.523508    0.795572   ]
24 : [ -0.515387    0.787555   ]
25 : [ -0.497085    0.768746   ]
26 : [ -0.470133    0.73924    ]
27 : [ -0.445757    0.71079    ]
28 : [ -0.423022    0.682825   ]
29 : [ -0.414115    0.671507   ]
30 : [ -0.395004    0.646567   ]
31 : [ -0.363394    0.603441   ]
32 : [ -0.344698    0.576899   ]
33 : [ -0.330302    0.555967   ]
34 : [ -0.307494    0.521976   ]
35 : [ -0.299879    0.510411   ]
36 : [ -0.267949    0.460814   ]
37 : [ -0.255477    0.440987   ]
38 : [ -0.229506    0.398953   ]
39 : [ -0.211218    0.368792   ]
40 : [ -0.186932    0.328094   ]
41 : [ -0.176419    0.310267   ]
42 : [ -0.152021    0.268459   ]
43 : [ -0.135259    0.239419   ]
44 : [ -0.117392    0.208214   ]
45 : [ -0.0829355   0.147437   ]
46 : [ -0.0693938   0.123377   ]
47 : [ -0.0579699   0.10302    ]
48 : [ -0.0265762   0.0468749  ]
49 : [ -0.00971196  0.0166392  ]
50 : [  0.0160519  -0.0295729  ]
51 : [  0.0281132  -0.0511906  ]
52 : [  0.046915   -0.0848358  ]
53 : [  0.0624505  -0.112562   ]
54 : [  0.0984453  -0.176416   ]
55 : [  0.109626   -0.196107   ]
56 : [  0.134402   -0.239438   ]
57 : [  0.151197   -0.268534   ]
58 : [  0.179117   -0.316324   ]
59 : [  0.186419   -0.328689   ]
60 : [  0.211151   -0.370117   ]
61 : [  0.229805   -0.400858   ]
62 : [  0.244912   -0.425403   ]
63 : [  0.269095   -0.463991   ]
64 : [  0.280399   -0.481712   ]
65 : [  0.318234   -0.539413   ]
66 : [  0.3363     -0.566024   ]
67 : [  0.34476    -0.578262   ]
68 : [  0.366515   -0.609048   ]
69 : [  0.388858   -0.639584   ]
70 : [  0.405719   -0.661865   ]
71 : [  0.435464   -0.699474   ]
72 : [  0.440186   -0.705237   ]
73 : [  0.462974   -0.732213   ]
74 : [  0.494895   -0.767572   ]
75 : [  0.502946   -0.776022   ]
76 : [  0.537883   -0.810397   ]
77 : [  0.554339   -0.825248   ]
78 : [  0.577697   -0.844782   ]
79 : [  0.587024   -0.852061   ]
80 : [  0.619129   -0.874759   ]
81 : [  0.637203   -0.885876   ]
82 : [  0.656048   -0.896145   ]
83 : [  0.677155   -0.905996   ]
84 : [  0.6909     -0.911447   ]
85 : [  0.714451   -0.918971   ]
86 : [  0.730491   -0.922749   ]
87 : [  0.753776   -0.926233   ]
88 : [  0.778547   -0.927266   ]
89 : [  0.788847   -0.926863   ]
90 : [  0.811293   -0.924249   ]
91 : [  0.828009   -0.920725   ]
92 : [  0.851558   -0.913417   ]
93 : [  0.870026   -0.905722   ]
94 : [  0.887803   -0.896648   ]
95 : [  0.913161   -0.880805   ]
96 : [  0.93174    -0.866985   ]
97 : [  0.955812   -0.846228   ]
98 : [  0.97489    -0.827441   ]
99 : [  0.987574   -0.813784   ]
field 2:
 0 : [ -0.997152     0.850404    ]
 1 : [ -0.975687     0.899966    ]
 2 : [ -0.945485     0.949806    ]
 3 : [ -0.934372     0.962633    ]
 4 : [ -0.905005     0.983247    ]
 5 : [ -0.887838     0.986893    ]
 6 : [ -0.872969     0.985366    ]
 7 : [ -0.85371      0.977292    ]
 8 : [ -0.823519     0.95181     ]
 9 : [ -0.807677     0.932671    ]
10 : [ -0.794151     0.913427    ]
11 : [ -0.775176     0.882224    ]
12 : [ -0.74529      0.823994    ]
13 : [ -0.723448     0.77516     ]
14 : [ -0.701219     0.720684    ]
15 : [ -0.698789     0.71446     ]
16 : [ -0.667931     0.631342    ]
17 : [ -0.657676     0.602196    ]
18 : [ -0.639273     0.548244    ]
19 : [ -0.618418     0.484868    ]
20 : [ -0.594967     0.411275    ]
21 : [ -0.573032     0.340707    ]
22 : [ -0.555073     0.282013    ]
23 : [ -0.523508     0.177624    ]
24 : [ -0.515387     0.15064     ]
25 : [ -0.497085     0.089819    ]
26 : [ -0.470133     0.000632331 ]
27 : [ -0.445757    -0.0791199   ]
28 : [ -0.423022    -0.152267    ]
29 : [ -0.414115    -0.180517    ]
30 : [ -0.395004    -0.240202    ]
31 : [ -0.363394    -0.335692    ]
32 : [ -0.344698    -0.389966    ]
33 : [ -0.330302    -0.430506    ]
34 : [ -0.307494    -0.492299    ]
35 : [ -0.299879    -0.512226    ]
36 : [ -0.267949    -0.591642    ]
37 : [ -0.255477    -0.620747    ]
38 : [ -0.229506    -0.677666    ]
39 : [ -0.211218    -0.714624    ]
40 : [ -0.186932    -0.759516    ]
41 : [ -0.176419    -0.777419    ]
42 : [ -0.152021    -0.815293    ]
43 : [ -0.135259    -0.838262    ]
44 : [ -0.117392    -0.859946    ]
45 : [ -0.0829355   -0.89341     ]
46 : [ -0.0693938   -0.903497    ]
47 : [ -0.0579699   -0.910644    ]
48 : [ -0.0265762   -0.923807    ]
49 : [ -0.00971196  -0.92693     ]
50 : [  0.0160519   -0.926355    ]
51 : [  0.0281132   -0.923865    ]
52 : [  0.046915    -0.917166    ]
53 : [  0.0624505   -0.909053    ]
54 : [  0.0984453   -0.881384    ]
55 : [  0.109626    -0.870299    ]
56 : [  0.134402    -0.841607    ]
57 : [  0.151197    -0.81898     ]
58 : [  0.179117    -0.775834    ]
59 : [  0.186419    -0.763438    ]
60 : [  0.211151    -0.71813     ]
61 : [  0.229805    -0.680665    ]
62 : [  0.244912    -0.648334    ]
63 : [  0.269095    -0.593024    ]
64 : [  0.280399    -0.565735    ]
65 : [  0.318234    -0.468214    ]
66 : [  0.3363      -0.418544    ]
67 : [  0.34476     -0.394651    ]
68 : [  0.366515    -0.331485    ]
69 : [  0.388858    -0.264267    ]
70 : [  0.405719    -0.212149    ]
71 : [  0.435464    -0.117765    ]
72 : [  0.440186    -0.102538    ]
73 : [  0.462974    -0.0283093   ]
74 : [  0.494895     0.0771572   ]
75 : [  0.502946     0.103913    ]
76 : [  0.537883     0.220044    ]
77 : [  0.554339     0.27444     ]
78 : [  0.577697     0.35084     ]
79 : [  0.587024     0.38098     ]
80 : [  0.619129     0.482495    ]
81 : [  0.637203     0.537717    ]
82 : [  0.656048     0.593451    ]
83 : [  0.677155     0.65324     ]
84 : [  0.6909       0.69047     ]
85 : [  0.714451     0.750695    ]
86 : [  0.730491     0.788842    ]
87 : [  0.753776     0.839565    ]
88 : [  0.778547     0.886773    ]
89 : [  0.788847     0.904155    ]
90 : [  0.811293     0.937049    ]
91 : [  0.828009     0.956785    ]
92 : [  0.851558     0.977092    ]
93 : [  0.870026     0.986407    ]
94 : [  0.887803     0.989476    ]
95 : [  0.913161     0.983106    ]
96 : [  0.93174      0.969858    ]
97 : [  0.955812     0.941102    ]
98 : [  0.97489      0.908426    ]
99 : [  0.987574     0.881595    ]
field 3:
 0 : [ -0.997152    2.02098    ]
 1 : [ -0.975687    1.79399    ]
 2 : [ -0.945485    1.49449    ]
 3 : [ -0.934372    1.39003    ]
 4 : [ -0.905005    1.12846    ]
 5 : [ -0.887838    0.985105   ]
 6 : [ -0.872969    0.866508   ]
 7 : [ -0.85371     0.720461   ]
 8 : [ -0.823519    0.508248   ]
 9 : [ -0.807677    0.404882   ]
10 : [ -0.794151    0.320872   ]
11 : [ -0.775176    0.209497   ]
12 : [ -0.74529     0.0490223  ]
13 : [ -0.723448   -0.0570378  ]
14 : [ -0.701219   -0.155543   ]
15 : [ -0.698789   -0.165748   ]
16 : [ -0.667931   -0.285883   ]
17 : [ -0.657676   -0.322008   ]
18 : [ -0.639273   -0.38222    ]
19 : [ -0.618418   -0.443461   ]
20 : [ -0.594967   -0.503728   ]
21 : [ -0.573032   -0.552141   ]
22 : [ -0.555073   -0.586247   ]
23 : [ -0.523508   -0.634605   ]
24 : [ -0.515387   -0.644737   ]
25 : [ -0.497085   -0.664227   ]
26 : [ -0.470133   -0.684776   ]
27 : [ -0.445757   -0.695377   ]
28 : [ -0.423022   -0.698773   ]
29 : [ -0.414115   -0.698464   ]
30 : [ -0.395004   -0.694805   ]
31 : [ -0.363394   -0.680201   ]
32 : [ -0.344698   -0.666832   ]
33 : [ -0.330302   -0.654276   ]
34 : [ -0.307494   -0.630566   ]
35 : [ -0.299879   -0.621653   ]
36 : [ -0.267949   -0.579194   ]
37 : [ -0.255477   -0.560506   ]
38 : [ -0.229506   -0.518113   ]
39 : [ -0.211218   -0.485642   ]
40 : [ -0.186932   -0.439495   ]
41 : [ -0.176419   -0.418535   ]
42 : [ -0.152021   -0.367822   ]
43 : [ -0.135259   -0.331469   ]
44 : [ -0.117392   -0.291521   ]
45 : [ -0.0829355  -0.211564   ]
46 : [ -0.0693938  -0.179279   ]
47 : [ -0.0579699  -0.151743   ]
48 : [ -0.0265762  -0.0749962  ]
49 : [ -0.00971196 -0.0333376  ]
50 : [  0.0160519   0.0305176  ]
51 : [  0.0281132   0.0603859  ]
52 : [  0.046915    0.106764   ]
53 : [  0.0624505   0.144805   ]
54 : [  0.0984453   0.231372   ]
55 : [  0.109626    0.257661   ]
56 : [  0.134402    0.314615   ]
57 : [  0.151197    0.352028   ]
58 : [  0.179117    0.41169    ]
59 : [  0.186419    0.426709   ]
60 : [  0.211151    0.475562   ]
61 : [  0.229805    0.510158   ]
62 : [  0.244912    0.536615   ]
63 : [  0.269095    0.57581    ]
64 : [  0.280399    0.592702   ]
65 : [  0.318234    0.641984   ]
66 : [  0.3363      0.661253   ]
67 : [  0.34476     0.669262   ]
68 : [  0.366515    0.686738   ]
69 : [  0.388858    0.699762   ]
70 : [  0.405719    0.706098   ]
71 : [  0.435464    0.709499   ]
72 : [  0.440186    0.709086   ]
73 : [  0.462974    0.703254   ]
74 : [  0.494895    0.683893   ]
75 : [  0.502946    0.676852   ]
76 : [  0.537883    0.635687   ]
77 : [  0.554339    0.610081   ]
78 : [  0.577697    0.56657    ]
79 : [  0.587024    0.546773   ]
80 : [  0.619129    0.467648   ]
81 : [  0.637203    0.415357   ]
82 : [  0.656048    0.354657   ]
83 : [  0.677155    0.278952   ]
84 : [  0.6909      0.225139   ]
85 : [  0.714451    0.124417   ]
86 : [  0.730491    0.0494908  ]
87 : [  0.753776   -0.0686784  ]
88 : [  0.778547   -0.206985   ]
89 : [  0.788847   -0.26842    ]
90 : [  0.811293   -0.410499   ]
91 : [  0.828009   -0.523758   ]
92 : [  0.851558   -0.694416   ]
93 : [  0.870026   -0.837554   ]
94 : [  0.887803   -0.983247   ]
95 : [  0.913161   -1.20485    ]
96 : [  0.93174    -1.37774    ]
97 : [  0.955812   -1.61533    ]
98 : [  0.97489    -1.81477    ]
99 : [  0.987574   -1.95294    ]
field 4:
 0 : [ -0.997152    2.46699    ]
 1 : [ -0.975687    2.0344     ]
 2 : [ -0.945485    1.49205    ]
 3 : [ -0.934372    1.31107    ]
 4 : [ -0.905005    0.878106   ]
 5 : [ -0.887838    0.654009   ]
 6 : [ -0.872969    0.476278   ]
 7 : [ -0.85371     0.267667   ]
 8 : [ -0.823519   -0.0132371  ]
 9 : [ -0.807677   -0.139473   ]
10 : [ -0.794151   -0.236407   ]
11 : [ -0.775176   -0.356363   ]
12 : [ -0.74529    -0.509818   ]
13 : [ -0.723448   -0.596623   ]
14 : [ -0.701219   -0.664829   ]
15 : [ -0.698789   -0.671123   ]
16 : [ -0.667931   -0.732503   ]
17 : [ -0.657676   -0.745721   ]
18 : [ -0.639273   -0.761184   ]
19 : [ -0.618418   -0.766796   ]
20 : [ -0.594967   -0.759406   ]
21 : [ -0.573032   -0.74075    ]
22 : [ -0.555073   -0.717944   ]
23 : [ -0.523508   -0.663599   ]
24 : [ -0.515387   -0.647027   ]
25 : [ -0.497085   -0.606296   ]
26 : [ -0.470133   -0.538919   ]
27 : [ -0.445757   -0.471847   ]
28 : [ -0.423022   -0.405303   ]
29 : [ -0.414115   -0.37842    ]
30 : [ -0.395004   -0.319602   ]
31 : [ -0.363394   -0.22021    ]
32 : [ -0.344698   -0.161047   ]
33 : [ -0.330302   -0.11568    ]
34 : [ -0.307494   -0.0447051  ]
35 : [ -0.299879   -0.0213674  ]
36 : [ -0.267949    0.0737073  ]
37 : [ -0.255477    0.109342   ]
38 : [ -0.229506    0.180193   ]
39 : [ -0.211218    0.226986   ]
40 : [ -0.186932    0.284623   ]
41 : [ -0.176419    0.307844   ]
42 : [ -0.152021    0.357395   ]
43 : [ -0.135259    0.387717   ]
44 : [ -0.117392    0.416522   ]
45 : [ -0.0829355   0.46129    ]
46 : [ -0.0693938   0.474847   ]
47 : [ -0.0579699   0.484464   ]
48 : [ -0.0265762   0.502158   ]
49 : [ -0.00971196  0.506305   ]
50 : [  0.0160519   0.505355   ]
51 : [  0.0281132   0.501884   ]
52 : [  0.046915    0.492648   ]
53 : [  0.0624505   0.481532   ]
54 : [  0.0984453   0.443925   ]
55 : [  0.109626    0.428963   ]
56 : [  0.134402    0.39049    ]
57 : [  0.151197    0.3604     ]
58 : [  0.179117    0.303636   ]
59 : [  0.186419    0.287478   ]
60 : [  0.211151    0.228995   ]
61 : [  0.229805    0.18134    ]
62 : [  0.244912    0.14074    ]
63 : [  0.269095    0.0724551  ]
64 : [  0.280399    0.0393263  ]
65 : [  0.318234   -0.0758522  ]
66 : [  0.3363     -0.132475   ]
67 : [  0.34476    -0.159193   ]
68 : [  0.366515   -0.228121   ]
69 : [  0.388858   -0.298591   ]
70 : [  0.405719   -0.351037   ]
71 : [  0.435464   -0.440699   ]
72 : [  0.440186   -0.454476   ]
73 : [  0.462974   -0.518666   ]
74 : [  0.494895   -0.600535   ]
75 : [  0.502946   -0.619369   ]
76 : [  0.537883   -0.690685   ]
77 : [  0.554339   -0.717508   ]
78 : [  0.577697   -0.746829   ]
79 : [  0.587024   -0.755378   ]
80 : [  0.619129   -0.769271   ]
81 : [  0.637203   -0.765375   ]
82 : [  0.656048   -0.751285   ]
83 : [  0.677155   -0.722257   ]
84 : [  0.6909     -0.695237   ]
85 : [  0.714451   -0.632843   ]
86 : [  0.730491   -0.577886   ]
87 : [  0.753776   -0.478702   ]
88 : [  0.778547   -0.345996   ]
89 : [  0.788847   -0.282008   ]
90 : [  0.811293   -0.123494   ]
91 : [  0.828009    0.0124232  ]
92 : [  0.851558    0.23149    ]
93 : [  0.870026    0.427181   ]
94 : [  0.887803    0.636528   ]
95 : [  0.913161    0.972842   ]
96 : [  0.93174     1.24893    ]
97 : [  0.955812    1.64622    ]
98 : [  0.97489     1.99445    ]
99 : [  0.987574    2.24306    ]]
KL eigenvalues= [1.1483,0.391416,0.15749,0.0668318,0.035614]
KL coefficients= 0 : [ -0.0925383  0.905465   0.543963   1.25091   -0.560751  ]
1 : [ -0.715549  -0.230914   0.383488  -0.162984   0.961542  ]
2 : [  0.180671  -0.940989   1.00647   -0.685311   0.897492  ]
3 : [  0.417306   0.96804   -1.6899    -1.57893    0.755257  ]
4 : [ -1.1978    -1.42051   -2.13492   -1.34067    0.343484  ]
5 : [  1.15261    1.09864    1.72705   -1.12929    1.03995   ]
6 : [ -1.79776    1.20792    0.946314  -0.614654  -0.0625113 ]
7 : [  0.642645   1.34378   -0.256209  -0.816543  -1.09532   ]
8 : [  0.583539  -0.143015   0.19071   -0.457231   0.252681  ]
9 : [  0.0287311  1.10475    1.26228    0.478788   0.82466   ]
KL functions= [(0.70255 * (1) - 0.000248374 * (1.73205 * x0) - 0.0831356 * (-1.11803 + 3.3541 * x0^2) + 0.000160127 * (-3.96863 * x0 + 6.61438 * x0^3) + 0.00133029 * (1.125 - 11.25 * x0^2 + 13.125 * x0^4)),(-0.000836876 * (1) - 0.690504 * (1.73205 * x0) - 0.000269551 * (-1.11803 + 3.3541 * x0^2) + 0.150655 * (-3.96863 * x0 + 6.61438 * x0^3) - 0.000219221 * (1.125 - 11.25 * x0^2 + 13.125 * x0^4)),(0.0769408 * (1) - 0.000541 * (1.73205 * x0) + 0.660957 * (-1.11803 + 3.3541 * x0^2) + 0.00192047 * (-3.96863 * x0 + 6.61438 * x0^3) - 0.235948 * (1.125 - 11.25 * x0^2 + 13.125 * x0^4)),(0.00203533 * (1) - 0.14544 * (1.73205 * x0) + 0.00149293 * (-1.11803 + 3.3541 * x0^2) - 0.688055 * (-3.96863 * x0 + 6.61438 * x0^3) - 0.00857263 * (1.125 - 11.25 * x0^2 + 13.125 * x0^4)),(0.0228608 * (1) - 0.00349991 * (1.73205 * x0) + 0.230003 * (-1.11803 + 3.3541 * x0^2) - 0.00283799 * (-3.96863 * x0 + 6.61438 * x0^3) + 0.658909 * (1.125 - 11.25 * x0^2 + 13.125 * x0^4))]
KL lift= (-0.0991631 * ((0.70255 * (1) - 0.000248374 * (1.73205 * x0) - 0.0831356 * (-1.11803 + 3.3541 * x0^2) + 0.000160127 * (-3.96863 * x0 + 6.61438 * x0^3) + 0.00133029 * (1.125 - 11.25 * x0^2 + 13.125 * x0^4))) + 0.566488 * ((-0.000836876 * (1) - 0.690504 * (1.73205 * x0) - 0.000269551 * (-1.11803 + 3.3541 * x0^2) + 0.150655 * (-3.96863 * x0 + 6.61438 * x0^3) - 0.000219221 * (1.125 - 11.25 * x0^2 + 13.125 * x0^4))) + 0.215872 * ((0.0769408 * (1) - 0.000541 * (1.73205 * x0) + 0.660957 * (-1.11803 + 3.3541 * x0^2) + 0.00192047 * (-3.96863 * x0 + 6.61438 * x0^3) - 0.235948 * (1.125 - 11.25 * x0^2 + 13.125 * x0^4))) + 0.323385 * ((0.00203533 * (1) - 0.14544 * (1.73205 * x0) + 0.00149293 * (-1.11803 + 3.3541 * x0^2) - 0.688055 * (-3.96863 * x0 + 6.61438 * x0^3) - 0.00857263 * (1.125 - 11.25 * x0^2 + 13.125 * x0^4))) - 0.105823 * ((0.0228608 * (1) - 0.00349991 * (1.73205 * x0) + 0.230003 * (-1.11803 + 3.3541 * x0^2) - 0.00283799 * (-3.96863 * x0 + 6.61438 * x0^3) + 0.658909 * (1.125 - 11.25 * x0^2 + 13.125 * x0^4))))
KL lift as field=  0 : [ -0.997152    0.976744   ]
 1 : [ -0.975687    0.972378   ]
 2 : [ -0.945485    0.958796   ]
 3 : [ -0.934372    0.951764   ]
 4 : [ -0.905005    0.928351   ]
 5 : [ -0.887838    0.911651   ]
 6 : [ -0.872969    0.895534   ]
 7 : [ -0.85371     0.872543   ]
 8 : [ -0.823519    0.832138   ]
 9 : [ -0.807677    0.809024   ]
10 : [ -0.794151    0.788351   ]
11 : [ -0.775176    0.758023   ]
12 : [ -0.74529     0.707492   ]
13 : [ -0.723448    0.668743   ]
14 : [ -0.701219    0.628016   ]
15 : [ -0.698789    0.623494   ]
16 : [ -0.667931    0.565112   ]
17 : [ -0.657676    0.545376   ]
18 : [ -0.639273    0.50965    ]
19 : [ -0.618418    0.468815   ]
20 : [ -0.594967    0.422661   ]
21 : [ -0.573032    0.379467   ]
22 : [ -0.555073    0.344216   ]
23 : [ -0.523508    0.282811   ]
24 : [ -0.515387    0.267176   ]
25 : [ -0.497085    0.232255   ]
26 : [ -0.470133    0.181775   ]
27 : [ -0.445757    0.137283   ]
28 : [ -0.423022    0.096949   ]
29 : [ -0.414115    0.081482   ]
30 : [ -0.395004    0.0489878  ]
31 : [ -0.363394   -0.00253585 ]
32 : [ -0.344698   -0.0316039  ]
33 : [ -0.330302   -0.0532319  ]
34 : [ -0.307494   -0.0860872  ]
35 : [ -0.299879   -0.0966605  ]
36 : [ -0.267949   -0.138751   ]
37 : [ -0.255477   -0.154181   ]
38 : [ -0.229506   -0.184431   ]
39 : [ -0.211218   -0.204178   ]
40 : [ -0.186932   -0.228378   ]
41 : [ -0.176419   -0.23813    ]
42 : [ -0.152021   -0.259064   ]
43 : [ -0.135259   -0.272064   ]
44 : [ -0.117392   -0.284682   ]
45 : [ -0.0829355  -0.305413   ]
46 : [ -0.0693938  -0.312274   ]
47 : [ -0.0579699  -0.317502   ]
48 : [ -0.0265762  -0.329277   ]
49 : [ -0.00971196 -0.334063   ]
50 : [  0.0160519  -0.339359   ]
51 : [  0.0281132  -0.341025   ]
52 : [  0.046915   -0.34262    ]
53 : [  0.0624505  -0.343046   ]
54 : [  0.0984453  -0.341099   ]
55 : [  0.109626   -0.339707   ]
56 : [  0.134402   -0.335392   ]
57 : [  0.151197   -0.331566   ]
58 : [  0.179117   -0.323753   ]
59 : [  0.186419   -0.321437   ]
60 : [  0.211151   -0.31285    ]
61 : [  0.229805   -0.305706   ]
62 : [  0.244912   -0.29957    ]
63 : [  0.269095   -0.289228   ]
64 : [  0.280399   -0.284226   ]
65 : [  0.318234   -0.267081   ]
66 : [  0.3363     -0.258868   ]
67 : [  0.34476    -0.255059   ]
68 : [  0.366515   -0.245472   ]
69 : [  0.388858   -0.236106   ]
70 : [  0.405719   -0.229494   ]
71 : [  0.435464   -0.219122   ]
72 : [  0.440186   -0.217657   ]
73 : [  0.462974   -0.211422   ]
74 : [  0.494895   -0.205414   ]
75 : [  0.502946   -0.204482   ]
76 : [  0.537883   -0.203625   ]
77 : [  0.554339   -0.205232   ]
78 : [  0.577697   -0.210032   ]
79 : [  0.587024   -0.212843   ]
80 : [  0.619129   -0.226825   ]
81 : [  0.637203   -0.237894   ]
82 : [  0.656048   -0.252126   ]
83 : [  0.677155   -0.271577   ]
84 : [  0.6909     -0.286374   ]
85 : [  0.714451   -0.315903   ]
86 : [  0.730491   -0.339221   ]
87 : [  0.753776   -0.378016   ]
88 : [  0.778547   -0.426153   ]
89 : [  0.788847   -0.448376   ]
90 : [  0.811293   -0.50155    ]
91 : [  0.828009   -0.54557    ]
92 : [  0.851558   -0.614364   ]
93 : [  0.870026   -0.674149   ]
94 : [  0.887803   -0.73679    ]
95 : [  0.913161   -0.835245   ]
96 : [  0.93174    -0.914508   ]
97 : [  0.955812   -1.02665    ]
98 : [  0.97489    -1.12346    ]
99 : [  0.987574   -1.19187    ]
KL eigenvalues= [1.17804,0.412173,0.183065,0.0839312,0.0519137]