im[z]
        ^                                                                                                                                                                   .mandelbrot
        |
        |  HHHHHCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCHHHHIIACAMMMMMXXXXXXXXXXEEEEEEEEEEEEEEEEEEESSSSSSSSSSSSSSSSUUUUU
0.13072 -  HHHHHHHCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCHHHHHIINMNIHHHHHCCCCCCCCCCCCCCCCHHHI  D UEU  HCAAMMMMMXXXXXXXXXXXEEEEEEEEEEEEEEEEESSSSSSSSSSSSSSSUUUUU
        |  HHHHHHHHHHCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCHHHHHHHIINDM EANIHHHHHHHHCCCCCCCHHHHHIEE  N E   NICCAAAMMMMMXXXXXXXXXXXEEEEEEEEEEEEEEESSSSSSSSSSSSSSUUUUUU
        |  HHHHHHHHHHHHHCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCHHHHHHHHII EM   DU EDNIIIIHHHHHIIIIIIIINNE HM E  EXCNHCAAAAMMMMMMMXXXXXXXXXXEEEEEEEEEEEEESSSSSSSSSSSSSSUUUUUU
        |  HHHHHHHHHHHHHHHHCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCHHHHHHHHHHIINND  E     HUENNNIIINNA ADANNAAADECXES    A  DICAAAAMMMMMMMMXXXXXXXXXXEEEEEEEEEEEESSSSSSSSSSSSSUUUUUU
        |  HHHHHHHHHHHHHHHHHHHHCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCHHHHHHHHHIIIIINNAE A E      SEDAAD      H                 AUAIHCAAAAMMMMMMMMMXXXXXXXXXXXEEEEEEEEESSSSSSSSSSSSUUUUUUU
        |  HHHHHHHHHHHHHHHHHHHHHHHHHCCCCCCCCCCCCCCCCCCCCCHHHHHHHHHHHIIIIIIIINNAADUEC  X I   HSS        CAD       X         CIHCCCAAAAMMMMMMMMMXXXXXXXXXXXEEEEEEEESSSSSSSSSSSUUUUUUU
        |  HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIIIIIIINNAADSE N   US    UA XACCE         S  D        D ANIHHCCCCAAAMMMMMMMMMXXXXXXXXXXEEEEEEESSSSSSSSSSSUUUUUUU
        |  HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIIIINNNNNNAD  E         S E  NDDUEXMCAEA        E    MA    EDANIIIHHHCCCAAAMMMMMMMMMXXXXXXXXXEEEEESSSSSSSSSSSUUUUUUU
        |  HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIINNANNNNNAAAAE    ID              XSEXMH           A         XEA     SUAE  HCCAAAAAAAAMMMMXXXXXXXEEEEESSSSSSSSSSUUUUUUU
        |  HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIIINNAS  U MHEDDEU               H U  M   HHA        E           IHAANC         NHHCCCCAAAAACCIAAMMXXXXEEEESSSSSSSSSSUUUUUUU
        |  HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIIIIIINNNDS  NA    EENSNHIA         A    D  IM                   U   DADSEXM      DX UNIHHHHHI S   NHAAMMMXXEEEESSSSSSSSSUUUUUUU
        |  HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIIIIIIIIINNNNAA   D       INMMAHD           A                             SUUSSEMC   A XAE  SAIIIN         NA CAXXEEESSSSSSSSSUUUUUUU
        |  IIIHHHHHHHHHHHHHHHHHHHHHHHIIIIIIIIIIIIIIIIINNNNAADM MA  N H   IMAAIE                                           XXX   E         X  ADU  SEM       EIMXEEEESSSSSSSSUUUUUUU
        |  IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIINNNNAAADEUX   X HI      M                        NA            ANCXDINDX        N          HND         IMMXEEEESSSSSSSSUUUUUUU
        |  IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIINNNNAAADEE C    S               N              AXMN                                               HUC HAAMXXXEEESSSSSSSSUUUUUUU
        |  IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIINNNNAAAADE  A                   MA    X       AADU     H                                  AUA      A   HAMXXXXEEEESSSSSSSSUUUUUU
        |  IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIINNNNAAAADDEE         X           EEX     DNIIIHHHHN                                          X   I S  SX IAMXXXXEEEESSSSSSSSUUUUUU
        |  IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIINNNNNAAADDEES  UDU              EEANNN     HCCAAAAACI    H                 AA                  EE        ICAMXXXXEEEEEESSSSSSSUUUUUU
        |  IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIINNNNNNADDEESSEEAA CHNH            AIHHHHHHHICAAMMMMMMMACD   CAAC  DUI     ICHIN    D               HD  I NICAAMXXXXEEEEEESSSSSSSSUUUUU
        |  IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIINNNNNNAADI AE     HMCA A     H DM  AIHHCCCAAAAMMMXXXXXXXXMMAMMMMXXMMAACHINDSXCA  A            X       UAEAIHCAAMMMXXXEEEEEESSSSSSSSUUUUU
        |  NNNNIIIIIIIIIIIIIIIIIIIIIIIINNNNNNNNNAADDUU                  SS A  DHCCAAAAAMMXXXXXXXXXEEEEEEEEEXXXXXMACN                           AMESEANICCAMMMXXXEEEEEEESSSSSSSSUUUU
        |  NNNNNNNNNNNIIIIIIIIIIINNNNNNNNNNNNNAAAADDEA SA     A        MDAANIIHCCAAAAMMMXXXXXXXEEEEEESSSSSEEEEEXXMA          C             AX NHH EA MMAICAMMMXXEEEEEEESSSSSSSSUUUU
        |  NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNAAAADDDEUUEM    E        CEANIIHHCCAAAAAMMMXXXXXEEEEESSSSSSSSSSSSEEEC     M                     EAAAE MMN    CAMMXXXEEEEEESSSSSSSSUUUU
        |  NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNAAAAAADDDEEUSX X            EANIHHHCCCAAAMMMMXXXXEEEESSSSSSSSSSSSSSSSEXAC   A            ANIHH  D HEDEEUSXC    UHCAMXXEEEEEEESSSSSSSSUUU
        |  NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNAAAAAAAADDDEEUXD           UIX DIIHHHCCCAAAAMMMMXXEEEEESSSSSSUUUUUUUUUSSSXXXMMMA           ANIICXEIAESUUSEEM         CMXXEEEEEESSSSSSSSUUU
        |  NNNNNNNNNNNNNNNNNNNNNNNNNNNNAAAAAAAAAADDDEEUSA SDNDM    AXEUAAIIHHHHCCCCAAAMMMMXXEEESSSSUUUUUUUUUUUUUUUUSSSEEXMI                  M CH  I        CIAMMXXEEEEEESSSSSSSSUU
        |  NNNNNNNNNNNNNNNNNNNNNNNNNNAAAAAAAAAAAADDEEUUSXAUXC       SEDANNIIIHHHHCCCCCHCAAMXEEESSSUUUUUUEEEEEEEEEEUUUSSSSEXMCS                     CN    E EDCAMMMXXXEEEESSSSSSSSUU
        |  NNNNNNNNNNNNNNNNNNNNNNNAAAAAAAAAAAAAADDDEUSMA       E    XEDANNNIIIIIIIN D  M   AMXEESUUUUUEEEEEEEEEEEEEEUUUSSSEXXAC          AA               C  DHAMMMXXXEEEESSSSSSSUU
        |  NNNNNNNNNNNNNNNNNNNAAAAAAAAAAAAAAAAADDDDEA      D U        SDANNNNNNNAU           I XSUUUUEEEEEEEEEEEEEEEEUUUSSEEXMAHIASMCHCHINNA               DSSICAAMMXXXXEEESSSSSSUU
        |  ANNNNNNNNNNNNAAAAAAAAAAAAAAAAAAAAAAADDDEEUE  ID         C  EEDAAAAAAAE         E   HXSUUUEEEEDDDDDDDEEEEEEEUUUSEXAA  XEEEXACHHINA        A          HCCAACCMMXXESSSSSSUU
        |  AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADDDDDEEUUSEXM          MEUEDDDDDDDES    D         IXSUEEDDDDDDDDDDDDDDEEEEUUS             A      C                ANNE C  E  XESSSSSUU
        |  AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADDDDDEEEEUUSSE   SEUI     ESUEDDDEEESM     AAA       AEEDDDDDDDDDDDDDDDDDEEUUE   H   N                              U  SE   ECMXESSSSUU
        |  AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADDDDDDDEEEEUUUSSXM  M       M  SUUUUUUSSXACHHHIN      EUEDDDDDAAAAAAAAAADDDDDES    C N                E          D     HIDE I X CXEESSSUU
        |  AAAAAAAAAAAAAAAAAAAAAAAAAAAADDDDDDDDDEEEEEEUUSSEM    X      AMESSUUSSSEXXMACCIN      EUEDDAAAAAAAAAAAAAAAADDDEUS AMH                                    U      IHMEESSUU
        |  DDDDDAAAAAAAAAAAAAAAAAAADDDDDDDDDDDDEEEEEEEUUUSXCS         C      XEEEXXMMACH         UDAAAAAAAAAAAAAAAAAAADDDEUUSSM                         U A  A     A    I    MESUUU
        |  DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEUUSXAM NI C  E        CAA  CCH   IE C  XEDAANNNNNNNNNNNAAAAAAAAADDEEEUSEA   A  E                              E ANA  MXSSUUU
        |  DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEEUUSSEEXXMAAXH                       E EEDANNNNNNNNNNNNNNNAAAAAAADDDEEEU         ANNNNA N     M                  AMXEEESSUUUU
        |  DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEEEUUUSSSEEXXMAH          AC         NM   AANNNNNNNNNNNNNNNNNNAAAAADDDEEEUSX      ANNIHHHI     C I X      E S  D EMXEESSSSUUUUE
        |  DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEEEEUUUUSSSSEEEXMCS AS E AN      X    XUANNNIIIIIIIIIIIIIIINNNNNNAAAADDDEEUUSEA       NICAAA I  EU HCMEUDNNHHCCNMMMXEESSSSUUUUUEE
        |  EEDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEEEEEUUUUUSSSSSSEEXMCHCCCCHHD    USAAH  AIIIHHHHHHHHIIIIIIIIIIINNNNNAAADDEEUUSEXXC          MSSEI  NIHHS  MAHCAMMXXXEESSSSSUUUUUEEE
        |  EEEEDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEEEEEEUUUUUUSSSSSSSEEEXXMMMMAACC UHHHHHHIIHHHHHHHHHHHHHHHIIIIIIIIINNNNAADDE XA HCAACI           MAMEDANNNU MC MCMMXXEESSSSSUUUUUUEEEE
        |  EEEEEEEEDDDDDDDDDDDDDDDEEEEEEEEEEEEEEEEEUUUUUUUSSSSSSSSEEEXXXXXMMMAAACCAACCCCCCCCCHHHHHHHHHHHHIIIIIIIINNNAADUE         ADUX AE       MSEDAADEUSC  AAXEEEESSSSUUUUUUEEEEE
        |  UUEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEUUUUUUUUUSSSSSSSSEEEEXXXXXXXMMMAAAAAAAAAACCCCCCCHHHHHHHHHIIIIIIIINNAAU    UA      ESEXMACHINA    C ASUS      HXEEESSSUUUUUUUEEEEEE
        |  UUUUUUEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEUUUUUUUUUUUSSSSSSSSEEEEEXXXXXXXMMMMMAAAAAAAAACCCCCCCHHHHHHHIIIIIIIINNAADU            AAAAACHINN     H HI     C AXEESSSUUUUUUUEEEEEEE
        |  SSSSUUUUUUUEEEEEEEEEEEEEEEEEEEEEUUUUUUUUUUUUUUSSSSSSSSSEEEEEEXXXXXXXMMMMMMAAAAAAAACCCCCCCCHHHHHHIIIIIINNNAADDUSX           NNHHIN        AM ANU    NMXESSUUUUUUUUEEEEEEE
        |  SSSSSSEEESUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUSSSSSSSSSSEEEEEEXXXXXXXXMMMMMMAAAAAAAACCCCCCCCHHHHHIIIIIINNNAADDESA C                   A   II        U XSSUUUUUUUUEEEEEEEE
        |  XXXCAICSAMESSSUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUSSSSSSSSSSEEEEEEEXXXXXXXXMMMMMMMAAAAAAACCCCCCCCCHHHHIIIIINNNAAADEUE  S         S   N             SE  HAMXESSUUUUUUUEEEEEEEED
        |  AA MH    AXESSSSUUUUUUUUUUUUUUUUUUUUUUUUUUUSSSSSSSSSSEEEEEEEEEXXXXXXXMMMMMMMMAAAAAAACCCCCCCCHHHHIIINNNNAAAADS     A        C                 E  SAMXEESSUUUUUUEEEEEEEEDD
        |  ASSCU ADS AXESSSSSSUUUUUUUUUUUUUUUUUUUUUUSSSSSSSSSSSEEEEEEEEEXXXXXXXXMMMMMMMMAAAAAACCCCCCCCCHHHIIINNNNAAADDEUH     C                  D           XEESSSUUUUUEEEEEEEEDDD
        |     D      IDXEESSSSSSSUUUUUUUUUUUUUUUUSSSSSSSSSSSSEEEEEEEEEEEXXXXXXXXMMMMMMMMAAAAAACCCCCCCCHHHHINNNADDDDDEEUE     NNIIIN           D            CMXEESSSUUUUEEEEEEEEEDDD
        |  CA        NAXXEEESSSSSSSSSSSSUUUSSSSSSSSSSSSSSSEEEEEEEEEEEEEXXXXXXXXMMMMMMMMMAAAAACCCCCCCCHHHHINE U    ASSSSXA   ANHHCCCA                E     IAMXXESSSUUUUEEEEEEEEDDDD
        |          A DAXXXEEEEEESSSSSSSSSSSSSSSSSSSSSSEEEEEEEEEEEEEEEEXXXXXXXXMMMMMMMMMMAAAAACCCCCCCHHHHINAU         MMA       CAAACH    N                IHCCMXESSUUUEEEEEEEEDDDDD
        |         HX AAMXXXEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEXXXXXXXMMMMMMMMMMMAAAACCCCCCCHHHHIIINAS A        HHA      AXXXAU             X      EUDM  EMESSUUEEEEEEEDDDDDD
        |       NIDHHCAMMMMXXXEEEEEEEEXXXXXXXXEEEEEEEEEEEEEEEEEEEEEXXXXXXXMMMMMMMMMMMMAAAACCCCCHHHHHIIIINNADS         EADU      EUS              I   D    CIAS    MSUEEEEEEEDDDDDDD
        |  I MSUDANIHCCCAAMMAAMMMXXXXXXMACEMAMXXXXXXEEEEEEEEEEEXXXXXXXXMMMMMMMMMMMMMAAAACCCHHHHHHHIIIIINAAE            UUUEA     AA   U S HM        I A    UA   SNESUEEEEEEDDDDDDDD
0.13356 -  MESUEDAANNNDID I N  IAAMMAAH    XACAMXXXXXXXXXXXXXXXXXXXXMMMMMMMMMMMMAAAAAACCHIIIIIIIIIIIINNMME        E   CMEEEMH     XM HNHCMXEE U          I M   A MSUUEEEEEDDDDDDDDD
        |  HH XNS A       N    X   AAIA D      HAMMMXXXXXXXXXMMMMMMAAAAAAAAAAAAAAAACCCHID    NEANNNNAADU         E     AMXMMACIN NEDANIHCAIMEANEE      HX NC U  AESUUEEEDDDDDDDDDDD
        |                                                                                                                                                                             re[z]
        +---|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|--->
        -0.74394                                                                                                                                                             -0.74247