~v300 200
y#hYWm]hV\b\Dlg[D\Xj 
 yzw$PSSjTgMNRWWRZ]YdTQ 
 ~w42 4 518 667 0 394 0 5 ~f? 14 12 10
? 2 0 1 0 ? ? ? "Arial" ? ? ? 0 ? 0 0
"Times" 12 ? ? 7 0 c n 105 0 0 0 k 288
i""
? 1 26177 26178 26115 26178 1 1 1 1 0 0
0 0 -1 0 1 -1 -1 -1 -1 -1 0
1 1 0 2 0 ? ? ? ? ? ? ? ? 
~Q
]|Expr|[#b @`bb#_b#_b#_})-# b'4" *|: ;bP:&c0!)TLS Circle Fitting|
  | ,HNewton,Gs Method,I}% b!( b"0 b#8 b$@ b%H!WW}]|[~p1
0 ~Ie(x,y,X_k,Y_k)~p0
1 ~V?f0 (Newton)~p0
1 ~V?f0 (r)~p0
1 ~V?f0 (d)~p0
1 ~V?f0 (H)~p0
1 ~V?f0 (g)~p0
1 ~V?f0 (f)~p0
1 ~V?f256 (sin)~p0
1 ~V?f257 (cos)~p0
1 ~V?v0 (Objective)~p0
1 ~V?v0 (Iterations)~p0
1 ~V?v0 (Radius)~p0
1 ~V?v0 (Center)~p0
1 ~V?v0 ('q)~p0
1 ~V?v0 (y)~p0
1 ~V?v0 (x)~p0
1 ~V?v0 (k)~p0
1 ~V?c0 (Y)~p0
1 ~V?c0 (X)~p0
1 ~V?c0 (n)~p0
1 ~V?c0 (m)~p0
1 ~V?c0 ('e)~p0
1 ~V?c1 ('p)~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})!# b$@`f }["! `f#}) # b$@|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW})!# b$@" *|: ;bP8&c0!*data|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}}}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
0 ~A(X=(0.69999999999999996;3.2999999999999998;5.5999999999999996;~
 7.5;6.4000000000000004;4.4000000000000004;0.29999999999999999;~
 -1.1000000000000001;3))~p0
1 ~d~A(Y=(4;4.7000000000000002;4;1.3;-1.1000000000000001;~
 -3;-2.5;1.3;1))~p0
255 ~d~Q
]|Expr|[#b @`bb#_b#_b#_})!# b%#[%! )b S# b%#" *|: ;bP8&c0!*Neither|
  | vertical nor horizontal residuals are meaningful for a circle|
  |,N  The TLS residual is the radial distance from the data point|
  | to the circle,N }& b!( b"0 b#8 b$@ b%H b&P!WW}) # b%#|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW})b P# b%#The ninth data point ,H|
  |3,L1,I is a statistical outlier,N  Change n ,] 8 to n ,] 9 to|
  | see its effect,N}& b!( b"0 b#8 b$@ b%H b&P!WW}) # b%#|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}) # b%#}& b!( b"0 b#8 b$@ b%H b&P!WW}}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
255 ~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})'# b"0" *|: ;bP8&c0!*number of data|
  | points}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
1 ~A(n=8)~p0
255 ~d~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})## b"0" *|: ;bP8&c0!*convergence|
  | criterion}& b!( b!L b"0 b#8 b%H b&P!WW}]|[~p0
1 ~A('e=10^(-10))~p0
255 ~d~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})## b"0" *|: ;bP8&c0!*maximum iterations|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
1 ~A(m=20)~p0
255 ~d~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})## b"0" *|: ;bP8&c0!*starting point|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
1 ~A(x_0=2)~p0
255 ~d~A(y_0=1)~p0
255 ~d~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$@["! ) # b$@|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}))# b$@" *|: ;bP8&c0!*objective|
  | function and circle radius}& b!( b"0 b#8 b$@ b%H b&P!WW}}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~A(f(x,y)=1/2*(Summation(k):(1):(n)*(d(x,y,k))^~
 2-n*(r(x,y))^2))~p1
1 ~A(f(x,y)=1/2*(Summation(k):(1):(8)*(d(x,y,k))^~
 2-8*(r(x,y))^2))~p0
2 ~sb/_!!   }
$.!  c#T"!c"H"!c"L" c"H" c',#"c'8 _c/__c/__}
$.!  c#T"!c"H"!c"L"!c"T! c"H" c'8 _c/__c/__}
^ _~
 ~A(f(x,y)=1/2*(Summation(k):(1):(8)*((X_k-x)^2+~
 (Y_k-y)^2)-8*(1/8*Summation(k):(1):(8)*sqrt((X_~
 k-x)^2+(Y_k-y)^2))^2))~p0
3 ~sb/_!!   }
b00(!  c#T"_c/__c/__! ""}
^ _~A(f(~
 ?x,?y)=1/2*(Summation(k):(1):(8)*((X_k-?x)^2+(~
 Y_k-?y)^2)-8*(1/8*Summation(k):(1):(8)*sqrt((X_~
 k-?x)^2+(Y_k-?y)^2))^2))~p0
4 ~d~sb/_!!   }
b00(!  c#T"_c/__c/__! ""}
^ _~A(~
 d(x,y,k)=abs((X_k;Y_k)-(x;y)))~p1
1 ~A(x=?x)~p0
255 ~d~A(y=?y)~p0
255 ~A(d(x,y,k)=sqrt((X_k-x)^2+(Y_k-y)^2))~p0
2 ~sb/_!!   }
"&!  c#T"!c'P!_c/__c/__}
^ _~A(r(x,~
 y)=1/n*Summation(k):(1):(n)*d(x,y,k))~p1
1 ~A(r(x,y)=1/8*Summation(k):(1):(8)*d(x,y,k))~p0
2 ~sb/_!!   }
$*!  c#T"!c"H#!c',#"c'8 _c/__c/__}
$*!  c#T"!c"H# c"\"!c'8 _c/__c/__}
^ _~
 ~A(r(x,y)=1/8*Summation(k):(1):(8)*sqrt((X_k-x)^~
 2+(Y_k-y)^2))~p0
3 ~sb/_!!   }
b00*!  c#T"!c"H#"c#L"_c/__c/__!"}
^ _~
 ~A(r(?x,?y)=1/8*Summation(k):(1):(8)*sqrt((X_k-~
 ?x)^2+(Y_k-?y)^2))~p0
4 ~d~sb/_!!   }
b00(!  c#T"_c/__c/__! ""}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$@" *|: ;bP8&c0!*gradient|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~A(g(x,y)=(Diff(x)*f(x,y);Diff(y)*f(x,y)))~p1
1 ~A(g(x,y)=(1/2*(-2*Summation(k):(1):(8)*(X_k-x)+~
 1/4*(Summation(k):(1):(8)*sqrt((X_k-x)^2+(Y_k-~
 y)^2))*Summation(k):(1):(8)*(X_k-x)/sqrt((X_k-~
 x)^2+(Y_k-y)^2));1/2*(-2*Summation(k):(1):(8)*~
 (Y_k-y)+1/4*(Summation(k):(1):(8)*sqrt((X_k-x)^~
 2+(Y_k-y)^2))*Summation(k):(1):(8)*(Y_k-y)/sqrt(~
 (X_k-x)^2+(Y_k-y)^2))))~p0
2 ~sb/_!!   }
b00&!  c#T"_c/__c/__!"}
^ _~A(g(?x,~
 ?y)=(1/2*(-2*Summation(k):(1):(8)*(X_k-?x)+1/4*~
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 2+(Y_k-?y)^2));1/2*(-2*Summation(k):(1):(8)*(Y_~
 k-?y)+1/4*(Summation(k):(1):(8)*sqrt((X_k-?x)^~
 2+(Y_k-?y)^2))*Summation(k):(1):(8)*(Y_k-?y)/sqrt(~
 (X_k-?x)^2+(Y_k-?y)^2))))~p0
3 ~d~sb/_!!   }
b00(!  c#T"_c/__c/__! ""}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_})## b$@" *|: ;bP8&c0!*Hessian matrix|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~A(H(x,y)=(Diff(x)*(g(x,y))_1,Diff(y)*(g(x,y))_~
 1;Diff(x)*(g(x,y))_2,Diff(y)*(g(x,y))_2))~p1
1 ~A(H(x,y)=(1/2*(1/4*(Summation(k):(1):(8)*sqrt(~
 (X_k-x)^2+(Y_k-y)^2))*Summation(k):(1):(8)*(-sqrt(~
 (X_k-x)^2+(Y_k-y)^2)+(X_k-x)^2/sqrt((X_k-x)^2+~
 (Y_k-y)^2))/((X_k-x)^2+(Y_k-y)^2)-1/4*(Summation(~
 k):(1):(8)*(X_k-x)/sqrt((X_k-x)^2+(Y_k-y)^2))*~
 Summation(k):(1):(8)*(X_k-x)/sqrt((X_k-x)^2+(Y_~
 k-y)^2)+2*Summation(k):(1):(8)*1),1/2*(-1/4*(Summation(~
 k):(1):(8)*(Y_k-y)/sqrt((X_k-x)^2+(Y_k-y)^2))*~
 Summation(k):(1):(8)*(X_k-x)/sqrt((X_k-x)^2+(Y_~
 k-y)^2)+1/4*(Summation(k):(1):(8)*sqrt((X_k-x)^~
 2+(Y_k-y)^2))*Summation(k):(1):(8)*((X_k-x)*(Y_~
 k-y))/((X_k-x)^2+(Y_k-y)^2)^(3/2));1/2*(-1/4*(~
 Summation(k):(1):(8)*(X_k-x)/sqrt((X_k-x)^2+(Y_~
 k-y)^2))*Summation(k):(1):(8)*(Y_k-y)/sqrt((X_~
 k-x)^2+(Y_k-y)^2)+1/4*(Summation(k):(1):(8)*sqrt(~
 (X_k-x)^2+(Y_k-y)^2))*Summation(k):(1):(8)*((X_~
 k-x)*(Y_k-y))/((X_k-x)^2+(Y_k-y)^2)^(3/2)),1/2*~
 (1/4*(Summation(k):(1):(8)*sqrt((X_k-x)^2+(Y_k-~
 y)^2))*Summation(k):(1):(8)*(-sqrt((X_k-x)^2+(~
 Y_k-y)^2)+(Y_k-y)^2/sqrt((X_k-x)^2+(Y_k-y)^2))/~
 ((X_k-x)^2+(Y_k-y)^2)-1/4*(Summation(k):(1):(8)*~
 (Y_k-y)/sqrt((X_k-x)^2+(Y_k-y)^2))*Summation(k):(~
 1):(8)*(Y_k-y)/sqrt((X_k-x)^2+(Y_k-y)^2)+2*Summation(~
 k):(1):(8)*1)))~p0
2 ~sb/_!!   }
b00&!  c#T"_c/__c/__!"}
^ _~A(H(?x,~
 ?y)=(1/2*(1/4*(Summation(k):(1):(8)*sqrt((X_k-~
 ?x)^2+(Y_k-?y)^2))*Summation(k):(1):(8)*(-sqrt(~
 (X_k-?x)^2+(Y_k-?y)^2)+(X_k-?x)^2/sqrt((X_k-?x)^~
 2+(Y_k-?y)^2))/((X_k-?x)^2+(Y_k-?y)^2)-1/4*(Summation(~
 k):(1):(8)*(X_k-?x)/sqrt((X_k-?x)^2+(Y_k-?y)^2))*~
 Summation(k):(1):(8)*(X_k-?x)/sqrt((X_k-?x)^2+~
 (Y_k-?y)^2)+2*Summation(k):(1):(8)*1),1/2*(-1/~
 4*(Summation(k):(1):(8)*(Y_k-?y)/sqrt((X_k-?x)^~
 2+(Y_k-?y)^2))*Summation(k):(1):(8)*(X_k-?x)/sqrt(~
 (X_k-?x)^2+(Y_k-?y)^2)+1/4*(Summation(k):(1):(~
 8)*sqrt((X_k-?x)^2+(Y_k-?y)^2))*Summation(k):(~
 1):(8)*((X_k-?x)*(Y_k-?y))/((X_k-?x)^2+(Y_k-?y)^~
 2)^(3/2));1/2*(-1/4*(Summation(k):(1):(8)*(X_k-~
 ?x)/sqrt((X_k-?x)^2+(Y_k-?y)^2))*Summation(k):(~
 1):(8)*(Y_k-?y)/sqrt((X_k-?x)^2+(Y_k-?y)^2)+1/~
 4*(Summation(k):(1):(8)*sqrt((X_k-?x)^2+(Y_k-?y)^~
 2))*Summation(k):(1):(8)*((X_k-?x)*(Y_k-?y))/(~
 (X_k-?x)^2+(Y_k-?y)^2)^(3/2)),1/2*(1/4*(Summation(~
 k):(1):(8)*sqrt((X_k-?x)^2+(Y_k-?y)^2))*Summation(~
 k):(1):(8)*(-sqrt((X_k-?x)^2+(Y_k-?y)^2)+(Y_k-~
 ?y)^2/sqrt((X_k-?x)^2+(Y_k-?y)^2))/((X_k-?x)^2+~
 (Y_k-?y)^2)-1/4*(Summation(k):(1):(8)*(Y_k-?y)/~
 sqrt((X_k-?x)^2+(Y_k-?y)^2))*Summation(k):(1):(~
 8)*(Y_k-?y)/sqrt((X_k-?x)^2+(Y_k-?y)^2)+2*Summation(~
 k):(1):(8)*1)))~p0
3 ~d~sb/_!!   }
b00(!  c#T"_c/__c/__! ""}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'3" *|: ;bP8&c0!*Newton,Gs method|
  |}# b!( b#8 b$@!WW}]|[~p1
0 ~A(Newton(?x,?y,?m)=Conditional((?x,?y,m-?m),(~
 abs(g(?x,?y))<'e)+(?m=0);Newton(((?x;?y)-(H(?x,~
 ?y))^(-1)*g(?x,?y))_1,((?x;?y)-(H(?x,?y))^(-1)*~
 g(?x,?y))_2,?m-1),(1>0)))~p0
1 ~d~Q
]|Expr|[#b @`bb#_b#_b#_}) # b$@}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
0 ~A(Center=((Newton(x_0,y_0,m))_1,(Newton(x_0,y_~
 0,m))_2))~p0
1 ~A(Center=(3.0432382515825425,0.74567831345860403))~p0
2 ~d~sb/_!!   }
$&!  c#T"!c&T"_c/__c/_^}
^ _~A(Radius=~
 r(Center_1,Center_2))~p0
1 ~A(Radius=4.1058558379543317)~p0
255 ~d~sb/_!!   }
$&!  c#T"!c#L"_c/__c/__}
^ _~A(Iterations=~
 (Newton(x_0,y_0,m))_3)~p0
1 ~A(Iterations=4)~p0
255 ~sb/_!!   }
$&!  c#T"!c%\"_c/__c/__}
^ _~A(Objective=~
 f(Center_1,Center_2))~p0
1 ~d~A(Objective=0.14797421899913843)~p0
255 ~sb/_!!   }
$&!  c#T"!c#L"_c/__c/__}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_}) # b$@}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
0 ~G1 1 288 288
0 2 4 4 10
(-1.5...7.5):(-3.5...~
 5.5):(?=0...2*'p):('p/5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})!# b"@" *|: ;bP8&c0!*Declarations|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~R0 ? (x,y):(y=bottom...top):(x=left...right):(~
 0)~p0
1 ~gc1 2 ? 0 -2731 -4096 0
65535 -2731 4096 0
~gc1 2 ? 0 -910 -4096 0
65535 -910 4096 0
~gc1 2 ? 0 910 -4096 0
65535 910 4096 0
~gc1 2 ? 0 2731 -4096 0
65535 2731 4096 0
~
 ~R0 ? (x,y):(x=left...right):(y=bottom...top):(~
 0)~p0
1 ~gc1 2 ? 0 -4096 -2731 0
65535 4096 -2731 0
~gc1 2 ? 0 -4096 -910 0
65535 4096 -910 0
~gc1 2 ? 0 -4096 910 0
65535 4096 910 0
~gc1 2 ? 0 -4096 2731 0
65535 4096 2731 0
~
 ~X2 0 (0,y):(y=bottom...top):(y)~p0
1 ~gc1 2 ? 0 -2731 -4096 0
65535 -2731 4096 0
~X1 0 (~
 x,0):(x=left...right):(x)~p0
1 ~gc1 2 ? 0 -4096 -910 0
65535 4096 -910 0
~V?c64 (~
 left)~p0
1 ~V?c65 (right)~p0
1 ~V?c66 (bottom)~p0
1 ~V?c67 (top)~p0
1 ~L1 0 ? (Center+Radius*(cos('q),sin('q))):('q=~
 0...2*'p)~p0
0 ~gc0 71 ? 0 3777 -231 0
1170 3753 187 0
1297 3748 232 0
1511 3737 308 0
2080 3703 509 0
3120 3611 870 0
4030 3501 1177 0
5201 3322 1556 0
6241 3127 1874 0
7411 2872 2206 0
8321 2649 2444 0
9540 2319 2730 0
9997 2187 2827 0
10272 2106 2882 0
12092 1534 3194 0
12335 1454 3228 0
12482 1405 3247 0
12646 1350 3268 0
12921 1257 3302 0
13653 1007 3378 0
14563 688 3449 0
15781 255 3500 0
16952 -164 3500 0
17684 -425 3477 0
18724 -792 3412 0
19894 -1195 3296 0
20804 -1497 3175 0
21845 -1829 3005 0
22755 -2104 2830 0
23925 -2433 2571 0
24965 -2700 2311 0
26135 -2967 1988 0
27046 -3150 1717 0
28086 -3328 1390 0
30166 -3582 691 0
31207 -3656 326 0
32377 -3695 -92 0
33287 -3693 -418 0
34327 -3656 -788 0
35238 -3594 -1108 0
36408 -3473 -1510 0
37448 -3328 -1853 0
39529 -2940 -2488 0
40569 -2700 -2773 0
41479 -2468 -3002 0
42649 -2142 -3266 0
43690 -1829 -3468 0
44860 -1455 -3657 0
45770 -1151 -3774 0
46810 -793 -3875 0
47378 -593 -3915 0
47591 -518 -3927 0
47720 -472 -3934 0
49931 318 -3958 0
51101 734 -3904 0
52011 1051 -3829 0
53962 1703 -3578 0
55132 2067 -3371 0
56172 2369 -3154 0
57343 2682 -2874 0
58253 2902 -2634 0
59293 3127 -2337 0
60203 3299 -2060 0
61584 3512 -1614 0
62414 3611 -1333 0
62852 3654 -1182 0
63584 3711 -926 0
64071 3740 -754 0
64254 3748 -689 0
64364 3753 -650 0
65535 3777 -231 0
~
 ~S17 ? 255 ? ? (X_k,Y_k):(k=1...n):(8)~p0
0 ~gc-1 8 ? 0 -2094 2731 0
10532 273 3368 0
18724 2367 2731 0
28086 4096 273 0
36278 3095 -1911 0
46810 1274 -3641 0
55002 -2458 -3186 0
65535 -3732 273 0
~
 ~S17 ? 16711680 ? ? (Center):(?):(8)~p0
0 ~gc-1 1 ? 0 39 -231 0
~t~p0
0 ~Z1 1 288 288 0
0.20298 0.97919 0.00000
0.23680 -0.04909 -0.97031
-0.95012 0.19695 -0.24183
2 4 4 5 10 0 0 ? ?
(~
 -20...20):(-20...20):(0...40):(?=0...2*'p):('p/~
 5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})!# b#@" *|: ;bP8&c0!*Declarations|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~R0 ? (x,y,bottom):(y=south...north):(x=west...~
 east):(0)~p0
1 ~gc1 18 ? 0 -2048 -4096 -4096
4336 -2048 -3554 -4096
7710 -2048 -3132 -4096
11565 -2048 -2650 -4096
14939 -2048 -2229 -4096
19275 -2048 -1687 -4096
23130 -2048 -1205 -4096
27466 -2048 -663 -4096
30840 -2048 -241 -4096
34695 -2048 241 -4096
38069 -2048 663 -4096
42405 -2048 1205 -4096
46260 -2048 1687 -4096
50596 -2048 2229 -4096
53970 -2048 2650 -4096
57825 -2048 3132 -4096
61199 -2048 3554 -4096
65535 -2048 4096 -4096
~gc1 18 ? 0 0 -4096 -4096
4336 0 -3554 -4096
7710 0 -3132 -4096
11565 0 -2650 -4096
14939 0 -2229 -4096
19275 0 -1687 -4096
23130 0 -1205 -4096
27466 0 -663 -4096
30840 0 -241 -4096
34695 0 241 -4096
38069 0 663 -4096
42405 0 1205 -4096
46260 0 1687 -4096
50596 0 2229 -4096
53970 0 2650 -4096
57825 0 3132 -4096
61199 0 3554 -4096
65535 0 4096 -4096
~gc1 18 ? 0 2048 -4096 -4096
4336 2048 -3554 -4096
7710 2048 -3132 -4096
11565 2048 -2650 -4096
14939 2048 -2229 -4096
19275 2048 -1687 -4096
23130 2048 -1205 -4096
27466 2048 -663 -4096
30840 2048 -241 -4096
34695 2048 241 -4096
38069 2048 663 -4096
42405 2048 1205 -4096
46260 2048 1687 -4096
50596 2048 2229 -4096
53970 2048 2650 -4096
57825 2048 3132 -4096
61199 2048 3554 -4096
65535 2048 4096 -4096
~
 ~R0 ? (x,y,bottom):(x=west...east):(y=south...~
 north):(0)~p0
1 ~gc1 18 ? 0 -4096 -2048 -4096
4336 -3554 -2048 -4096
7710 -3132 -2048 -4096
11565 -2650 -2048 -4096
14939 -2229 -2048 -4096
19275 -1687 -2048 -4096
23130 -1205 -2048 -4096
27466 -663 -2048 -4096
30840 -241 -2048 -4096
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~
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~
 ~S17 ? 16711680 ? ? (Center_1,Center_2,f(Center_~
 1,Center_2)):(?):(10)~p0
0 ~gc-1 1 ? 0 623 153 -4066
~t~p0
255 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b(1[$! ) # b(1|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW})b!?# b(1" *|: ;bP8&c0!*Change |
  |n ,] 8 to n ,] 5 to fit a circle to the first five data points|
  |,N  With a starting value of ,H2,L1,I,L the algorithm converges|
  | on a saddlepoint,N  A better estimate,L say ,H3,L1,I,L will |
  |converge on the minimum,N}& b!( b"0 b#8 b$@ b%H b&P!WW}) # b(1|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW})b!%# b(1If Iterations ,] m,L the|
  | algorithm has likely diverged,N  The algorithm cannot be started|
  | at a point where the Hessian matrix is singular,L e,Ng,N ,H3|
  |,L1,I for n ,] 9,N}& b!( b"0 b#8 b$@ b%H b&P!WW}}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
0 ~c3
39 -1 38 -1 29 -1 20 -1 ~c3
40 -1 39 -1 48 -1 45 -1 ~c3
41 -1 40 -1 43 -1 44 -1 ~c1
45 -1 42 -1 ~c3
47 -1 46 -1 29 -1 20 -1 ~c2
48 -1 47 -1 45 -1 ~c3
49 -1 48 -1 43 -1 44 -1 ~c2
52 -1 51 -1 40 -1 ~c3
53 -1 52 -1 43 -1 44 -1 ~c2
56 -1 55 -1 52 -1 ~c3
57 -1 56 -1 43 -1 44 -1 ~c21
62 -1 61 -1 35 -1 16 -1 36 -1 15 -1 33 -1 21 -1 25 -1 19 -1 26 -1 18 -1 53 -1 6 -1 49 -1 3 -1 31 -1 22 -1 57 -1 5 -1 59 -1 2 -1 ~c9
64 -1 63 -1 62 -1 13 -1 25 -1 19 -1 26 -1 18 -1 49 -1 3 -1 ~c21
66 -1 65 -1 35 -1 16 -1 36 -1 15 -1 33 -1 21 -1 25 -1 19 -1 26 -1 18 -1 53 -1 6 -1 49 -1 3 -1 31 -1 22 -1 57 -1 5 -1 59 -1 2 -1 ~c9
68 -1 67 -1 62 -1 13 -1 25 -1 19 -1 26 -1 18 -1 41 -1 7 -1 ~e