Here is some information about the location, generated by the m-describe code in my
https://code.mathr.co.uk/mandelbrot-numerics repository:
the input point was +2.75337647746737993588667124824627881566714069895426285916274363067437510130230301309671975356653639860582884204637353849973626635844461696577733396177173659502869597622654858047830473369233652610609631007219270037919896108613318635711410655928412269957977397230123742985898239211816931398241903797459102438729408702005271145966616545036e-01 + +6.75964940532785067018170045619492950218975023461430484635726913710673103258247167757358200829449470582619413145077310704967071714678595763311924422571027117886784050420240236249129631789483532106497151867377563025274513529470021667381579073334313498412010852400179935107657764228375162746931512488396245301309385347189831168355578240409e-03 i
the point didn't escape after 60000 iterations
nearby hyperbolic components to the input point:
- a period 1 cardioid
with nucleus at +0e+00 + +0e+00 i
the component has size 1.00000e+00 and is pointing west
the atom domain has size 0.00000e+00
the nucleus is 2.75421e-01 to the west of the input point
the input point is exterior to this component at
radius 1.01030e+00 and angle 0.051481301889481974 (in turns)
the multiplier is +9.57901e-01 + +3.21128e-01 i
a point in the attractor is +4.78943e-01 + +1.60561e-01 i
- a period 94 cardioid
with nucleus at +2.7533764780368214e-01 + +6.7596492803599804e-03 i
the component has size 7.07849e-12 and is pointing south
the atom domain has size 1.18454e-07
the nucleus is 1.37330e-10 to the south-south-east of the input point
the input point is exterior to this component at
radius 8.63943e+00 and angle 0.259140356745496070 (in turns)
the multiplier is -4.95894e-01 + +8.62518e+00 i
a point in the attractor is +4.6369718780481874e-05 + -5.3911600324196745e-05 i
- a period 292 cardioid
with nucleus at +2.75337647746737993589450443e-01 + +6.75964940532785066642972551e-03 i
the component has size 1.33239e-21 and is pointing north-west
the atom domain has size 1.86167e-15
the nucleus is 3.83287e-21 to the south-south-east of the input point
the input point is exterior to this component at
radius 2.57308e+00 and angle 0.432408664872798276 (in turns)
the multiplier is -2.34450e+00 + +1.06020e+00 i
a point in the attractor is -1.69564475530324405445050437e-10 + +2.40199294799935024599726391e-10 i
- a period 2489 cardioid
with nucleus at +2.7533764774673799358866712482462788156671406989418941304667747156400867e-01 + +6.7596494053278506701817004561949295021897502349756765590698454557430955e-03 i
the component has size 9.47543e-66 and is pointing south-east
the atom domain has size 3.44580e-43
the nucleus is 1.28858e-48 to the west-north-west of the input point
- a period 4099 cardioid
with nucleus at +2.753376477467379935886671248246278815667140698954262859162743630674375099341391278329e-01 + +6.759649405327850670181700456194929502189750234614304846357269137106730807072789532301e-03 i
the component has size 4.44948e-79 and is pointing east-north-east
the atom domain has size 2.79233e-55
the nucleus is 2.98842e-73 to the south-west of the input point
the input point is exterior to this component at
radius 1.63810e+03 and angle 0.544382068892239390 (in turns)
the multiplier is -1.57482e+03 + -4.50905e+02 i
a point in the attractor is +5.736936311897576207312683073012650676614467026706682207757961736257834954672699928867e-37 + -3.156955688691252502284958583502381443762749996210058333306072137990928921151874304218e-36 i
- a period 14782 cardioid
with nucleus at +2.753376477467379935886671248246278815667140698954262859162743630674375101302303013096719753566536398605828842046373538499736266358442511053152383621080583e-01 + +6.759649405327850670181700456194929502189750234614304846357269137106731032582471677573582008294494705826194131450773107049670717146427804564532075148987065e-03 i
the component has size 4.12681e-149 and is pointing west-south-west
the atom domain has size 2.87802e-108
the nucleus is 4.15478e-133 to the south-south-west of the input point
the input point is exterior to this component at
radius 2.00677e+08 and angle 0.295619955576930882 (in turns)
the multiplier is -5.67373e+07 + +1.92489e+08 i
a point in the attractor is +1.01589285022300801326268381889642621905716620784746689862495330888851160159813669881526266107957297165711347175450146405953589018925006749566518877570748e-66 + -3.646715913906026744021125419729861152443251137995300638705681163542312469192942799571640391988745181049600996957058080383959716199954755595151824794120333e-66 i
- a period 59444 cardioid
with nucleus at +2.75337647746737993588667124824627881566714069895426285916274363067437510130230301309671975356653639860582884204637353849973626635844461696577733396177173659502869597622654858047830473369233652610609631007219270037919896108613318635711410655928412269957977397230123742985898239211816931398241903797459102438729408702005271146604041e-01 + +6.75964940532785067018170045619492950218975023461430484635726913710673103258247167757358200829449470582619413145077310704967071714678595763311924422571027117886784050420240236249129631789483532106497151867377563025274513529470021667381579073334313498412010852400179935107657764228375162746931512488396245301309385347189831133866673e-03 i
the component has size 1.06317e-324 and is pointing north-west
the atom domain has size 6.66873e-221
the nucleus is 7.24745e-325 to the east-south-east of the input point
the input point is interior to this component at
radius 9.35775e-01 and angle 0.541761546433570995 (in turns)
the multiplier is -9.03744e-01 + -2.42735e-01 i
a point in the attractor is -2.6025538574296415952332667091128199346211267632708216906442009663141234426147312488425278300035554053468777171243258952047261577623034475153849717684849957653364661711338481367484672303255804446676714005247665149565145445218216807377219405913550928161747542074194897884493104533200856460675330342275057978441273417134673601626392e-162 + +1.12008951668276505060976485788508740261881654301286406200102941504218073528504840309816859782346828879017415162926827002367559002018428414455323029172624912530914605048101267372377557011128767232093377253073998711371596110109288661492571318569611990167238983116030755092055668694551869794767592874969987603636013091634709434749682e-162 i