Sequence Fractals Part II #23

$ z^2+c+s_i$
s_i = a,-a,…; a = -0.716
Center: 0; Zoom = 0.25

Zooming out to see the big picture. C1.00 and C1.01 points are the larger distorted brots above and below. C2.02 and C2.01 are the small white area to the left, above and below the central chaos. See Sequence Fractals Part II #18 for a list of named point values for this fractal. The nearby mini slightly to the right appears to host a M1,3 point.

Here are the first few iterates of -0.074+0.384i near the center of the right side mini, which gives evidence that an attracting M1,3 point is nearby.

0 :  0.0000000000,  0.0000000000
1 :  1.1186973098, -0.2226672276
2 :  0.7986249557,  0.2897826579
3 : -0.0192503327, -0.0160305150
4 :  1.1180435564, -0.2235550021
5 :  0.7967073694,  0.2888181202
6 : -0.0135847570, -0.0190021871
7 :  1.1185795766, -0.2236186754
8 :  0.7975798288,  0.2882324026
9 : -0.0136806798, -0.0158793598
10:  1.1184661988, -0.2234036595
11:  0.7975737434,  0.2887061709
12: -0.0148163399, -0.0167138452
13:  1.1184113007, -0.2234957519
14:  0.7973969097,  0.2885950187
15: -0.0142411724, -0.0169491521
16:  1.1184598547, -0.2234949011
17:  0.7974818960,  0.2885534577
18: -0.0142878044, -0.0166716323
19:  1.1184478907, -0.2234766718

My M point calculator refuses to find this point. This is probably a shortcoming in my program. A M1,3 point is a root of a 128 degree polynomial, the program is only finds half of them before giving up. There are things I could do to improve the program, and I would like that additional confirmation. I choose not to head down that rabbit hole right now. So let me get by with "appears to be".