September 2010 - Fractint - mailman.xmission.com

Re: [Fractint] AOTD 9/12/10
by Roger Alexander 13 Sep '10

13 Sep '10

A well done animation with appropriate music which had an almost ethereal flavor. Roger Alexander

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Mandelbrot Greenery
by Roger Alexander 13 Sep '10

13 Sep '10

This is a zoom of Sept 11's fractal with a different palette. Here a brot, there a brot, everywhere a minibrot! The coloring aims for a veggie mood. A resampled jpg included at http://maxitersfractalfollies.blogspot.com JackOfTradeZ's Silicon Egg animation was great - the choice of music greatly reinforced the impressive visuals. Idle curiousity- how long was the calculation time for the animation (not including set up time)? fract415.gif { ;mandelbrot greenery ; blank ; calctime 0:25:31.21 ; created Sep 12, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=*.frm formulaname=Mandel_Rings passes=1 center-mag=-0.26201496836067130/+0.66033092518802450/2635.069/1/-29.9999\ 99999993765/-5.44472106289717317e-012 params=0.02/0/2/128 float=y maxiter=1500 inside=0 outside=summ colors=00m0Kz0p00p00p00o00o00o00n00n00n00m00m00m00l00l00l00k00k00k00j00j\ 00j00i00i00i00h00h00h00g00g00g00f00f00e00e00e00d00d00d00c00c00c00b00b00b\ 00a00a00a00`00`00`00_00_00_00Z00Z00Z00Y00Y00Y00X00X00X00W00W00V00V00V00U\ 00U00U00T00T00T00S00S00S00R00R00R00Q00Q00Q00P00P00P00O00O00O00N00N00N00M\ 00M00M00L00L00K00K00K00J00J00J00I00I00I00H00H00H00G00G00G00F00F00F00E00E\ 00E00D00D00D00C00C00C00B00B00A0ApAApAApAApAApAAoAAoAAoAAoAAoAAnAAnAAnAAn\ AAnAAmAAmAAmAAmAAlAAlAAlAAlAAlAAkAAkAAkAAkAAkAAjAAjA9j99j99j99i99i99i99i\ 99h99h99h99h99h99g99g99g99g99g99f99f99f99f99f99e99e99e99e99d99d99d99d98d\ 88c88c88c88c88c88b88b88b88b88b88a88a88a88a88`88`88`88`88`88_88_88_88_88_\ 88Z88Z88Z88Z87Y70Y00Y00X00X00W00V00V00U00T00T00S00R00R00Q00P00P00O00N00N\ 00M00L00L00K00J00J00I00H00H00G00F00F00E00D00D00C00B00A0 } frm:Mandel_Rings {; Copyright (c) Paul W. Carlson, 1998 z = w = k = iter = range_num = bailout = 0 c = pixel ring_width = real(p1) num_ranges = real(p2) colors_in_range = imag(p2) index_factor = (colors_in_range - 1) / ring_width : w = w * w + c ; dist = abs(|w|-.25) IF (dist < ring_width && iter > 0) bailout = 1 z = index_factor * dist + range_num * colors_in_range + 1 ENDIF range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF iter = iter + 1 z = z - iter bailout == 0 && |w| < 1.0e20 ;SOURCE: carlson2.frm } Roger Alexander

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Re: [Fractint] AOTD 9/12/10
by JackOfTradeZ＠comcast.net 13 Sep '10

13 Sep '10

. Animation of the Silicon Egg: http://www.fractal-animation.net/vid/celestialkiss2.zip no comments on the last couple? hope you like this one then. short but cute. .

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FOTD 12-09-10 (Mandelbrot Minibrot [7])
by Jim Muth 13 Sep '10

13 Sep '10

FOTD -- September 12, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's FOTD is 24 hours late -- no problem -- I'll get caught up eventually, but the FOTD will remain a day late until I do. The lateness is due to an antiquing expedition on Saturday that got totally out of control, and a lack of fractal luck on my part. When nothing better turned up, I fell back on the old-faithful fractal workhorse, the Mandelbrot set, where I checked the north- west shore line of the main bay. I found today's minibrot in the Seahorse Valley of a larger minibrot. It's a rather humdrum image that I could rate no higher than a 7, but the calculation time is a fireball fast 7 seconds, so no time will have been wasted if the result is disappointing. The name "Mandelbrot Minibrot" says it all. Those who do not relish calculating fractals may avoid the task by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Heavy clouds and continuing drizzle made Sunday a day to be forgotten here at Fractal Central. The temperature of 64F 18C simply added to the unpleasantness. The fractal cats went into curl-up mode due to the chill, but it's still technically summer, so it's far too early to think of turning on the heat for them. The next FOTD will be posted in 24 hours, maybe sooner. Until then, take care, and before an answer can be determined, the question must be known. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MandelbrotMinibrot { ; time=0:00:07.41-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.3910257193778\ 118/+0.6461587387215368/6.5e+012/1/-175.5/0 params=0/0 float=y maxiter=20000 inside=0 logmap=-2700 mathtolerance=0.05/1 colors=000000UmeXofZqg`shcuiewjgykizlerdakYZcQVXJS\ QCUWGV`JWeNYjQZoU_qXVsQQoKLkDGg7Kc9NUARKCUADXKE`UG\ ccHgjJjmKmoLqqNtsOwtPzqXzmdzmlzmszmpvfmlWjeMg`FdQA\ aSAZTAWUATWAQXANY9K_6H`3Ea1Ba5Fa8JaCNaFRaJVaMZaQba\ TfaXja_nacrafumzzmzzcszYpUcm5bn4bn4bo4bo4bp4bp3bq3\ bq3bq3br3br2bs2bs2bt2bt2bt2`q4_n5Yk6Xi8Vf9UcAU`CcZ\ DmWEmTGmQHmOImLKmILmFMmDNmKUmQ`mWgmanm`lm_kzZjzYiz\ XgzWfzVezUdzTbzSazR`zQ_zQZzSYzUXzVWzXVzYUzzTzzSzzS\ zzRzzQzzPzzOzzNzzMzzMzzKzzIzzHzzIzzJzzJPzKUzK_zLez\ MjzMpzNuzNrzQozTmzWjzZhzagz_ezYdzWczTazR`zP_zNYzLX\ zIWzGUzETzCSzAUzCVzEXzGYzH_zJ`zLbzMczOezQfzRhzTizV\ jzWizThzRgzPfzNezLdzIczGbzEazC`zA`z8czJfzTizclzmnz\ wiztdzq`zoWzlRziNzgIzdDza9z_4zX0zV9zUIzTRzS_zRhzQq\ zPzzOtzSnzVhzYbz`XzdRzgLzjFzmIzgKzaNzWPzQSzKUzFWzG\ XzGZzH_zHazIbzIZzlazjczhKzWKzWKzXKzXKzXKzXKzXKzXKz\ XKzYKzZKz_Kz`LzaNzbQzcSzd } END PARAMETER FILE=========================================

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Deep107
by Mike Frazier 11 Sep '10

11 Sep '10

I have added deep zooming to Fracton. As a part of the testing, I looked at the area along the negative x axis to see if I could zoom in and find a deep minibrot there. At low magnifications, the minibrots are located at points where some oval shapes intersect the x axis. Zooming in on those contained a minibrot so I tried doing the same thing in the area near (-2.0, 0.0). Not knowing what I would find or how deep it would be, I zoomed in for an hour or so recentering the image to keep the oval shape intersecting the x axis. I eventually found a minibrot at a magnification of about 8E107. There is a much deeper minibrot from the same general area on the FractInt Deep Zooming webpage. Can you guess how the two images differ? Here is a link to a page with an image and the answer: http://www.fracton.org/fmlposts/20100910_deep107.html The par file for the image is: Deep107 { ; Exported from Fracton. ; time= 1 min 20 sec at 640 x 480 with no aa ; on a Mac Pro 2 x 2.8 GHz Quad-Core Xeon reset=2004 type=mandel passes=1 float=y center-mag=-0.199999999999999999999999999999999999\ 99999999999999998999156258683385300770447192487625\ 02981882543155705650500961365788066678e1/0.0/8.023\ 793735620347e+107/0.9999999992460491/0/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=2000 inside=0 logmap=646 proximity=0 colors=200400600800A00C00E00G00I00K00M00O00Q00S00U\ 00W00Y00_00a00c00e00g00i00k00m00o00q00s00u00w00y00\ z00y00w00u00s00q00o00m00k00i00g00e00c00a00_00Y00W0\ 0U00S00Q00O00M00K00I00G00E00C00A008006004002000001\ 11333555777888AAACCCEEEFFFHHHJJJLLLNNNOOOQQQSSSUUU\ VVVXXXZZZ```bbbccceeegggiiijjjlllnnnppprrrsssrrrpp\ pnnnlllkkkiiigggeeedddbbb```ZZZYYYWWWUUUSSSRRRPPPN\ NNLLLKKKIIIGGGEEEDDDBBB999777666444222000012034046\ 06807A09C0AE0CG0DI0FK0GM0IO0JQ0LS0MU0OW0PY0R_0Sa0U\ c0Ve0Xg0Yi0_k0`m0bo0cq0es0fu0hw0jy0kz0jy0hw0gu0es0\ dq0bo0am0_k0Zi0Xg0We0Uc0Ta0R_0QY0OW0NU0LS0KQ0IO0HM\ 0FK0EI0CG0BE09C08A068056034022000211432653874A85CA\ 6EC7GE8IF9KHAMJBOLCQNDSOEUQFWSGYUH_VIaXJcZKe`LgbMi\ cNkeOmgPoiQqjRslSunTwpUyrWzsXyrWwpVunUslTqkSoiRmgQ\ kePidOgbNe`McZLaYK_WJYUIWSHURGSPFQNEOLDMKCKIBIGAGE\ 9ED8CB7A96875664443222000 } -- Mike Frazier www.fracton.org

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A Silicon Egg
by Roger Alexander 11 Sep '10

11 Sep '10

A recursive object - shell structures inside of shell structures like a Russian doll ( Wikipedia calls them matryoshka dolls). Another pseudo 3d graphic from Fractint, a 2d program. I cannot help but acknowledge the ingenuity of Fractint's programmers and formula writers. Ready made at http://maxitersfractalfollies.blogspot.com with the Sept. 6 gif as an anti-aliased jpg. fract409.gif { ; layers ; blank ; calctime 0:00:28.89 ; created Sep 10, 2010 ; Fractint Version 2004 Patchlevel 9 reset=1960 type=formula formulafile=_c.frm formulaname=cdp_jul_mand center-mag=0.0683146/-0.00966608/0.6865382/1/50.0000000000000142/-2.5056\ 3458870090017e-014 params=1.358012634662923/0.352876064333018/-0.3213515427051337/0.7808234\ 629205598/4/64 float=y maxiter=1200 inside=0 outside=summ colors=000z88z88y88y88x88w88w88v88u77u77t77t77s77r77r77q77p66p66o66o66n6\ 6m66m66l66k55k55j55j55i55h55h55g55f44f44e44d44d44c44c44b33a33a33`33_33_3\ 3Z33Z33Y22X22X22W22V22V22U22U22T11S11S11R11Q11Q11P11O00yx0yx0yw0xv0xv0wu\ 0wt0ws0vs0vr0vq0uq0up0to0tn0tn0sm0sl0sl0rk0rj0qi0qi0qh0pg0pg0pf0oe0od0nd\ 0nc0nb0mb0ma0l`0l_0l_0kZ0kY0kY0jX0jW0iV0iV0iU0hT0hT0hS0gR0gQ0fQ0fP0fO0eO\ 0eN0eM0dL0dL0cK0cJ0cJ0bI0bH0aG00tO0tO0sO0rO0rN0qN0pN0oM0oM0nM0mL0mL0lL0k\ K0jK0jK0iJ0hJ0hJ0gI0fI0eI0eI0dH0cH0cH0bG0aG0`G0`F0_F0ZF0ZE0YE0XE0WD0WD0V\ D0UC0UC0TC0SB0RB0RB0QB0PA0PA0OA0N90M90M90L80K80K80J70I70H70H60G60F60F50E\ 50D50C4DpzDozDnyDlxDkwDivDhuCftCesCdrCbqCapC_oBZnBXmBWlBVkBTjBSiAQhAPgAN\ fAMeALdAJc9Ib9Ga9F`9D_9CZ9BY89X88W86V85U83T82S70R60Q60P60O60O50N50M50L50\ K50K40J40I40H40G30F30F30E30D20C20B20A20A109108107106005 } frm:Cdp_Jul_Mand {; Copyright (c) Paul W. Carlson, 1998 ; real(p1) = 0 if Mset, otherwise Julia set ; imag(p1) = maximum value of ratio (try 0.01 to 0.3) ; p2 = Julia set coordinates (not used if Mset) ; real(p3) = number of color ranges ; imag(p3) = number of colors in a range ; z = iter = range_num = bailout = 0 IF (real(p1) == 0) prev_w = 0 c = pixel ELSE prev_w = pixel c = p2 ENDIF max_r = imag(p1) num_ranges = real(p3) colors_in_range = imag(p3) index_factor = (colors_in_range - 1) / max_r : w = prev_w * prev_w + c ; r = |prev_w| / |w| prev_w = w IF (r < max_r && iter > 0) bailout = 1 z = index_factor * r + range_num * colors_in_range + 1 ENDIF range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF iter = iter + 1 z = z - iter bailout == 0 && |w| < 4 ;SOURCE: 98msg.frm } Roger Alexander

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FOTD 11-09-10 (Deep in the Shadows [6])
by Jim Muth 11 Sep '10

11 Sep '10

FOTD -- September 11, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's unusually somber FOTD lies in a valley of the shapeless parent fractal that results when the expression Z^(1.8)+C is iterated 21 steps up the complex logarithmic hyperladder. The banded effect was achieved by rendering the scene with the outside set to 'tdis'. The name "Deep in the Shadows" refers to the shadowy effect of the entire image. The calculation time of 4-1/4 minutes is a bit slow, so I suggest visiting the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the finished image there. Clouds and a pleasantly cool temperature of 70F 21C prevailed here at Fractal Central on Friday. The fractal cats slept through most of it. My day was uneventful; FL was a bit agitated about current events, but I did not get involved. The next FOTD will be posted in 24 hours. Until then, take care, and keep up with the foolishness. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Deep_in_theShadows { ; time=0:04:15.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.1472820697533/+0.181840866071/5.5050\ 14e+008/1/-75/0 params=1.8/0/21/0 float=y logmap=45 maxiter=3200 inside=255 outside=tdis periodicity=6 colors=00090FA1KB3OC5TD7YE9`FBcGDfIFiKGlMHoSInYGnc\ EnhCnWAzs8zdBziEzD5ID6JE6JE6KE6KE7KF7LF7LF7MF8MF8M\ G8NG8NG9OG9OH9OH9PHAPHAQHAQIAQIARIBRIBSJBSJBSJCTJC\ TKCUKCUKDUKDVKDVLDWLEWLEWLEXMEXMFYMFYMFYMFZNGZNG_N\ G_NG_OH`OH`OHaOHaNG`OHaPHaPHaQHaQHaRHaSHaSHaTHaTHb\ UHbUHbVHbWHbWHbXHbXIbYIbYIcZIc_Ic_Ic`Ic`IcaIcbIcbI\ ccIdcIddIddIdeIdfJdfJdgJdgJdhJehJeiJejJejJekJekJel\ JemJemJfnJfnJfoKfoKfpKfqKfqKfrKfrKgsKgsKgtKguKguKg\ vKgvKgwKgwKgvLfvLevLduLcuLbuLatL`tL_tLZsLYsLXsLXsL\ WrLVrLUrLTqLSqLRqLQpLPpLOpLNoLMoLMoLLoLKnLJnLInLHm\ LGmLFmLElLDlLClLBlLBmMCmMDmNDmNEmNFnOFnOGnOGnPHnPI\ nPIoQJoQJoRKoRLoRLpSMpSMpSNpTOpTOpTPqUPqUQqVRqVRqV\ SrWSrWTrWUrXUrXVrXVpWXnWZlW`jWbhVdfVfdVhbVjaVkbUjb\ UjbUjcUjcUicTidTidTidTheTheSheShfSgfSgfSggSggRfgRf\ hRfhRfhRfiQeiQeiQejQejQdjPdkPdkPdkPckPclPclOclObmO\ bmObmObnNanNanNaoNaoNamsz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: [Fractint] FRACTON
by JackOfTradeZ＠comcast.net 10 Sep '10

10 Sep '10

. If you don't use arbitrary (or some similar extended type) precision math you won't be able to zoom in much deeper than about E+13. That will be a serious limitation (for some people, like me). Anyway, when you get this thing done I may actually have a reason to get a MAC! (haven't touched one in 15 years, I assume they are better now) .

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Lotsa Converging Arms!
by Roger Alexander 10 Sep '10

10 Sep '10

This fractal (from Fractint's built in mandphoenixclx formula) has an interesting feature. While arms converging to a point in an enclosed lake are common enough two of the arms (look at the upper right) converge not to a point but to a lobe, and from this lobe two arms extend to a point with other arms . Reminds me of my uncle Ralph who said " 2.718... is the new 3.141...". With my calculation time of about an hour remember a well trained mouse can retrieve the pre-calculated image almost instantly at http://maxitersfractalfollies.blogspot.com fract407.gif { ; slowpoke ; blank ; calctime 1:09:01.38 ; created Sep 09, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2000 type=mandphoenixclx passes=1 center-mag=-0.30527624339808810/+0.32267014341590660/476.1905 params=0.6884670552690206/-0.06772057252723777/-0.4948118533890805/0.794\ 3052461317789/0 float=y maxiter=9800 logmap=16 cyclerange=0/255 colors=00000000200400600800A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00a00\ c00e00g00i00k00m00o00q00s00u00w00z01z03z05z07z09z0Bz0Dz0Fz0Hz0Jz0Lz0Nz0P\ z0Rz0Tz0Vz0Xz0Zz0`z0bz0dz0fz0hz0jz0lz0nz0pz0rz0tz0vz0xz0zz0zz0yz0xz0wz0v\ z0uz0tz0sz0rz0qz0pz0oz0nz0mz0lz0kz0jz0iz0hz0gz0fz0ez0dz0cz0bz0az0`z0_z0Z\ z0Yz0Xz0Wz0Vz0Uz0Tz0Sz0Rz0Qz0Pz0Oz0Nz0Mz0Lz0Kz0Jz0Iz0Hz0Gz0Fz0Ez0Dz0Cz0B\ z0Az09z08z07z06z05z04z03z02z01z00z00z03z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0j\ z0nz0rz0vz0uz1tz1sz2rz3pz3oz4nz5mz5kz6jz7iz7hz8gz9ez9dzAczBbzB`zC_zDZzDY\ zEWzFVzFUzGTzHSzHQzIPzJOzJNzKLzLKzLJzMIzNGzNFzOEzPDzPCzQAzR9zR8zS7zT5zT4\ zU3zV2zW0zW0zV0yV0xU0wU0vT0uT0tS0sS0rR0qR0pQ0oQ0nP0mP0lO0kO0jN0iN0hM0gM0\ fL0eL0dK0cK0bJ0aJ0`I0_I0ZH0YH0XG0WG0VF0UF0TE0SE0RD0QD0PC0OC0NB0MB0LA0KA0\ J90I90H80G80F70E70D60C60B50A509408407306305204203102101 } Roger Alexander

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FOTD 10-09-10 (Flowers in the Field [7])
by Jim Muth 10 Sep '10

10 Sep '10

FOTD -- September 10, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image lies in the East Valley of a near-Mandelbrot set that takes on quintic characteristics in its depths. I named the image "Flowers in the Field" because of the colorful flowers scattered about the scene. Actually, the flowers are a mixture of minibrot basins and anti- minibrot hills, and it's hard to tell from the colors alone which is which. There is no doubt however about the large blossom near the center, which is a minibrot without doubt. A little quintic minibrot is clearly visible at its center. After not too much consideration, I rated the image at a 7. It has some mathematical interest and also some artistic value. Puting these assets together results in the total rating of 7. The calculation time of just over 3 minutes will pass in a flash once the colors at the top of the frame appear. The virtual trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> to view the image without the task of calculation will be even faster for those with a broad-band connection. Those with dial- up may wait an extra minute or two. Lots of clouds and a temperature of 70F 21C made Thursday a routine day that will soon be forgotten here at Fractal Central. The fractal cats forgot the day before the sun went down. They were more interested in food. For me the day was equally forgettable. It came and went with not a single memorable thing taking place. The next FOTD will be posted in 24 hours. Who knows what weird new fractal stuff I might turn up before then. Until the next time, take care, and when will one of the cameras that are everywhere catch a convin- cing picture of one of those alien space ships, which are also supposed to be everywhere? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FlowersInTheField { ; time=0:03:09.37-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.3285156354474282/+0.038834567583711/\ 1.00143e+010/1/32.5/0 params=5/-2000000/0/0 float=y maxiter=7500 inside=0 logmap=180 periodicity=6 colors=000a_NaZM_XPYVRWTTURVTPXRNZPL`NJbMHdKFfIDhG\ BjE9lD7nB5p93r71t60vC3pH5jM7eR9_WCV`EPeGKjIEoK9pMD\ pOHqQLqSPrUTrWXsY`s_dtahtcluepugtuixrluoorlroitljr\ gjqckp_koWlnSlmOijNghNefMcdM`aMZ_LXYLVWLSTKQRKOPKM\ NJKLJHIIFGIDEIBCH89H67H45G23G01G23H34H55H66H87I98I\ B9ICBIECJFDJHEJIFJKGKLHKNJKOKKQLLRMLTNLUOLVPLXQKYR\ JZSI_TI`THaUGbVGcWFdWEeXEfYDgZCh_Ci_Bj`AkaAlb9mb8n\ c8od7pe6qe6pc7pa8o`8oZ9nX9nWAmUAmSBlRClPCkNDkMDjKE\ jIEiHFiFGhDGhCHgAHg8If7If5Jf4JiCNlJRoRVqYZtebwlfys\ iuphqngmlfijeehdafcYdbUbaQ``MZ_IXZEVYKTXKRWKTXKVYK\ XZKZ_K_`KaaEcbFecGgeHhgKeiMckP`mRZoKWqKUsKSuKPwKNx\ KKyKIzKGzKHzKHzKHzKHzKHzKHzKHzKHzcHzcHzcHzcHzcHzcH\ zcHzcHzcIzcJzcKzcLzcMzcNzcOzcPzmQzmRzmSzmTzmUzmVzm\ WzmXzmYzmZzm_zm`zmazmbzmczmczrczrczrczrczrczrczrcz\ rczrczrczrczrczrczrczrczrczzczzczzczzczzczzczzczzc\ zzczzczzczzczzczzczzczzcz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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