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D.5.12.4 Blowupcenter

Procedure from library resbinomial.lib (see resbinomial_lib).

Usage:
Blowupcenter(center,id,nchart,infochart,c,n,cstep);
center, infochart lists, id, nchart, n, cstep integers, c number

Compute:
The blowing up at the chart IDCHART along the given center

Return:
new affine charts and related information, see example

Example:
 
LIB "resbinomial.lib";
ring r = 0,(x(1),y(2),x(3),y(4),x(5..7)),dp;
list flag=identifyvar();
ideal J=x(1)^3-x(3)^2*y(4)^2,x(1)*x(7)*y(2)-x(6)^3*x(5)*y(4)^3,x(5)^3-x(5)^3*y(2)^2;
list Lmb=2,list(0,0,0,0,0,0,0),list(0,0,0,0,0,0,0),list(0,0,0,0,0,0,0),iniD(7),iniD(7),list(0,0,0,0,0,0,0),-1;
list L=data(J,3,7);
list L2=determinecenter(L[1],L[2],2,7,0,0,Lmb,flag,0,-1); // Computing the center
module auxpath=[0,-1];
list infochart=0,0,0,L[2],L[1],flag,0,list(0,0,0,0,0,0,0),auxpath,list(),list();
list L3=Blowupcenter(L2[1],1,1,infochart,2,7,0);
L3[1]; // current chart (parent,Y,center,expJ,Coef,flag,Hhist,blwhist,path,hipercoef,hiperexp) with sons: [12],...,[16]
==> [1]:
==>    [1]:
==>       0
==>    [2]:
==>       0
==>    [3]:
==>       0
==>    [4]:
==>       [1]:
==>          [1]:
==>             [1]:
==>                0
==>             [2]:
==>                0
==>             [3]:
==>                2
==>             [4]:
==>                2
==>             [5]:
==>                0
==>             [6]:
==>                0
==>             [7]:
==>                0
==>          [2]:
==>             [1]:
==>                3
==>             [2]:
==>                0
==>             [3]:
==>                0
==>             [4]:
==>                0
==>             [5]:
==>                0
==>             [6]:
==>                0
==>             [7]:
==>                0
==>       [2]:
==>          [1]:
==>             [1]:
==>                0
==>             [2]:
==>                0
==>             [3]:
==>                0
==>             [4]:
==>                3
==>             [5]:
==>                1
==>             [6]:
==>                3
==>             [7]:
==>                0
==>          [2]:
==>             [1]:
==>                1
==>             [2]:
==>                1
==>             [3]:
==>                0
==>             [4]:
==>                0
==>             [5]:
==>                0
==>             [6]:
==>                0
==>             [7]:
==>                1
==>       [3]:
==>          [1]:
==>             [1]:
==>                0
==>             [2]:
==>                2
==>             [3]:
==>                0
==>             [4]:
==>                0
==>             [5]:
==>                3
==>             [6]:
==>                0
==>             [7]:
==>                0
==>          [2]:
==>             [1]:
==>                0
==>             [2]:
==>                0
==>             [3]:
==>                0
==>             [4]:
==>                0
==>             [5]:
==>                3
==>             [6]:
==>                0
==>             [7]:
==>                0
==>    [5]:
==>       [1]:
==>          [1]:
==> -1
==>          [2]:
==> 1
==>       [2]:
==>          [1]:
==> -1
==>          [2]:
==> 1
==>       [3]:
==>          [1]:
==> -1
==>          [2]:
==> 1
==>    [6]:
==>       [1]:
==>          0
==>       [2]:
==>          1
==>       [3]:
==>          0
==>       [4]:
==>          1
==>       [5]:
==>          0
==>       [6]:
==>          0
==>       [7]:
==>          0
==>    [7]:
==>       0
==>    [8]:
==>       [1]:
==>          0
==>       [2]:
==>          0
==>       [3]:
==>          0
==>       [4]:
==>          0
==>       [5]:
==>          0
==>       [6]:
==>          0
==>       [7]:
==>          0
==>    [9]:
==>       _[1]=-gen(2)
==>    [10]:
==>       empty list
==>    [11]:
==>       empty list
==>    [12]:
==>       2
==>    [13]:
==>       3
==>    [14]:
==>       4
==>    [15]:
==>       5
==>    [16]:
==>       6
L3[2][1]; // information of its first son, write L3[2][2],...,L3[2][5] to see the other sons
==> [1]:
==>    1
==> [2]:
==>    3
==> [3]:
==>    3,1,7,5,6
==> [4]:
==>    [1]:
==>       [1]:
==>          [1]:
==>             0
==>          [2]:
==>             0
==>          [3]:
==> 0
==>          [4]:
==>             2
==>          [5]:
==>             0
==>          [6]:
==>             0
==>          [7]:
==>             0
==>       [2]:
==>          [1]:
==>             3
==>          [2]:
==>             0
==>          [3]:
==> 1
==>          [4]:
==>             0
==>          [5]:
==>             0
==>          [6]:
==>             0
==>          [7]:
==>             0
==>    [2]:
==>       [1]:
==>          [1]:
==>             0
==>          [2]:
==>             0
==>          [3]:
==> 2
==>          [4]:
==>             3
==>          [5]:
==>             1
==>          [6]:
==>             3
==>          [7]:
==>             0
==>       [2]:
==>          [1]:
==>             1
==>          [2]:
==>             1
==>          [3]:
==> 0
==>          [4]:
==>             0
==>          [5]:
==>             0
==>          [6]:
==>             0
==>          [7]:
==>             1
==>    [3]:
==>       [1]:
==>          [1]:
==>             0
==>          [2]:
==>             2
==>          [3]:
==> 1
==>          [4]:
==>             0
==>          [5]:
==>             3
==>          [6]:
==>             0
==>          [7]:
==>             0
==>       [2]:
==>          [1]:
==>             0
==>          [2]:
==>             0
==>          [3]:
==> 1
==>          [4]:
==>             0
==>          [5]:
==>             3
==>          [6]:
==>             0
==>          [7]:
==>             0
==> [5]:
==>    [1]:
==>       [1]:
==> -1
==>       [2]:
==> 1
==>    [2]:
==>       [1]:
==> -1
==>       [2]:
==> 1
==>    [3]:
==>       [1]:
==> -1
==>       [2]:
==> 1
==> [6]:
==>    [1]:
==>       0
==>    [2]:
==>       1
==>    [3]:
==>       0
==>    [4]:
==>       1
==>    [5]:
==>       0
==>    [6]:
==>       0
==>    [7]:
==>       0
==> [7]:
==>    0,3
==> [8]:
==>    [1]:
==>       0,3
==>    [2]:
==>       0,0
==>    [3]:
==>       0,0
==>    [4]:
==>       0,0
==>    [5]:
==>       0,3
==>    [6]:
==>       0,3
==>    [7]:
==>       0,3
==> [9]:
==>    _[1]=-gen(2)
==>    _[2]=gen(2)+gen(1)
==> [10]:
==>    empty list
==> [11]:
==>    empty list
L3[3];    // current number of charts
==> 6
L3[4];    // step/level associated to each son
==> [1]:
==>    1
==> [2]:
==>    1
==> [3]:
==>    1
==> [4]:
==>    1
==> [5]:
==>    1
L3[5];    // number of variables in the center
==> 5


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