field_calc = fieldmap,
  gen_grad_map = {
    ele_anchor_pt = Center,
    field_scale = 1e-6,
    dz =  0.010000,
    r0 = (  0.00000000,  0.00000000,  0.00000000),
    curve = {
      m    = 0,
      kind = cos,
      derivs = {
      -0.7000:  0.000000000000E+00  3.251040089939E-03  8.608542034485E-02,
      -0.6900:  0.000000000000E+00  4.077238715459E-03  9.497848028434E-02,
      -0.6800:  0.000000000000E+00  5.003806066002E-03  1.047538770581E-01,
      -0.6700:  0.000000000000E+00  6.035785402591E-03  1.153548084288E-01,
      -0.6600:  0.000000000000E+00  7.176308064896E-03  1.270017443677E-01,
      -0.6500:  0.000000000000E+00  8.431129521671E-03  1.402316107111E-01,
      -0.6400:  0.000000000000E+00  9.812574817946E-03  1.558461959769E-01,
      -0.6300:  0.000000000000E+00  1.134258984716E-02  1.748692175529E-01,
      -0.6200:  0.000000000000E+00  1.305597521754E-02  1.984892150638E-01,
      -0.6100:  0.000000000000E+00  1.500215977786E-02  2.279244149197E-01,
      -0.6000:  0.000000000000E+00  1.724399295880E-02  2.643241974051E-01,
      -0.5900:  0.000000000000E+00  1.985614539163E-02  3.088041785192E-01,
      -0.5800:  0.000000000000E+00  2.292494077989E-02  3.624961869621E-01,
      -0.5700:  0.000000000000E+00  2.654747122945E-02  4.265659588680E-01,
      -0.5600:  0.000000000000E+00  3.083014198535E-02  5.023463505992E-01,
      -0.5500:  0.000000000000E+00  3.589035713465E-02  5.915778291063E-01,
      -0.5400:  0.000000000000E+00  4.186154817732E-02  6.965809630282E-01,
      -0.5300:  0.000000000000E+00  4.889899177229E-02  8.203797564152E-01,
      -0.5200:  0.000000000000E+00  5.718747030639E-02  9.668927075402E-01,
      -0.5100:  0.000000000000E+00  6.695274243436E-02  1.141114577354E+00,
      -0.5000:  0.000000000000E+00  7.847543739494E-02  1.349215847631E+00,
      -0.4900:  0.000000000000E+00  9.210750486106E-02  1.598668529578E+00,
      -0.4800:  0.000000000000E+00  1.082956679868E-01  1.898416233831E+00,
      -0.4700:  0.000000000000E+00  1.276168855891E-01  2.258903299200E+00,
      -0.4600:  0.000000000000E+00  1.508329886153E-01  2.691654702795E+00,
      -0.4500:  0.000000000000E+00  1.789784287073E-01  3.207502124321E+00,
      -0.4400:  0.000000000000E+00  2.134916205916E-01  3.810870403773E+00,
      -0.4300:  0.000000000000E+00  2.565237025319E-01  4.488750683440E+00,
      -0.4200:  0.000000000000E+00  3.071558772939E-01  4.906494128730E+00,
      -0.4100:  0.000000000000E+00  3.613290512987E-01  5.045660581960E+00,
      -0.4000:  0.000000000000E+00  4.154739135354E-01  4.901754355773E+00,
      -0.3900:  0.000000000000E+00  4.660194274229E-01  4.479091334967E+00,
      -0.3800:  0.000000000000E+00  5.089021022887E-01  3.796028594770E+00,
      -0.3700:  0.000000000000E+00  5.431984350519E-01  3.187309294344E+00,
      -0.3600:  0.000000000000E+00  5.710582081408E-01  2.666232028798E+00,
      -0.3500:  0.000000000000E+00  5.939248723285E-01  2.228774407516E+00,
      -0.3400:  0.000000000000E+00  6.128447276868E-01  1.864532448854E+00,
      -0.3300:  0.000000000000E+00  6.285978531149E-01  1.562438488318E+00,
      -0.3200:  0.000000000000E+00  6.417866259014E-01  1.312494055000E+00,
      -0.3100:  0.000000000000E+00  6.528891674652E-01  1.105993447291E+00,
      -0.3000:  0.000000000000E+00  6.622892353527E-01  9.353328494585E-01,
      -0.2900:  0.000000000000E+00  6.702932213306E-01  7.938630147727E-01,
      -0.2800:  0.000000000000E+00  6.771421874163E-01  6.758794719807E-01,
      -0.2700:  0.000000000000E+00  6.830232208691E-01  5.767012184930E-01,
      -0.2600:  0.000000000000E+00  6.880819954010E-01  4.927387635772E-01,
      -0.2500:  0.000000000000E+00  6.924360141698E-01  4.214312358422E-01,
      -0.2400:  0.000000000000E+00  6.961858393349E-01  3.610105576662E-01,
      -0.2300:  0.000000000000E+00  6.994218975157E-01  3.101787374850E-01,
      -0.2200:  0.000000000000E+00  7.022268774736E-01  2.678258045593E-01,
      -0.2100:  0.000000000000E+00  7.046754124868E-01  2.328426754073E-01,
      -0.2000:  0.000000000000E+00  7.068322488597E-01  2.040236260678E-01,
      -0.1900:  0.000000000000E+00  7.087499587678E-01  1.800762252910E-01,
      -0.1800:  0.000000000000E+00  7.104680962259E-01  1.597198958681E-01,
      -0.1700:  0.000000000000E+00  7.120142362999E-01  1.417712188291E-01,
      -0.1600:  0.000000000000E+00  7.134051484349E-01  1.251779073671E-01,
      -0.1500:  0.000000000000E+00  7.146475564769E-01  1.090725023736E-01,
      -0.1400:  0.000000000000E+00  7.157399300122E-01  9.286802890369E-02,
      -0.1300:  0.000000000000E+00  7.166759575862E-01  7.633007894878E-02,
      -0.1200:  0.000000000000E+00  7.174487529485E-01  5.957883532956E-02,
      -0.1100:  0.000000000000E+00  7.180547122523E-01  4.303733132659E-02,
      -0.1000:  0.000000000000E+00  7.184967367011E-01  2.734937082865E-02,
      -0.0900:  0.000000000000E+00  7.187864269940E-01  1.324902225715E-02,
      -0.0800:  0.000000000000E+00  7.189440989054E-01  1.389765202172E-03,
      -0.0700:  0.000000000000E+00  7.189965111645E-01 -7.788965744566E-03,
      -0.0600:  0.000000000000E+00  7.189737545633E-01 -1.412176870756E-02,
      -0.0500:  0.000000000000E+00  7.189059856985E-01 -1.773717913991E-02,
      -0.0400:  0.000000000000E+00  7.188199186423E-01 -1.903396358955E-02,
      -0.0300:  0.000000000000E+00  7.187358921691E-01 -1.859976514578E-02,
      -0.0200:  0.000000000000E+00  7.186662203072E-01 -1.711208635677E-02,
      -0.0100:  0.000000000000E+00  7.186146738468E-01 -1.524875174593E-02,
       0.0000:  0.000000000000E+00  7.185772291273E-01 -1.360920888629E-02,
       0.0100:  0.000000000000E+00  7.185441162185E-01 -1.267412974117E-02,
       0.0200:  0.000000000000E+00  7.185021171428E-01 -1.282066465992E-02,
       0.0300:  0.000000000000E+00  7.184359105426E-01 -1.435651520261E-02,
       0.0400:  0.000000000000E+00  7.183284187902E-01 -1.751744821209E-02,
       0.0500:  0.000000000000E+00  7.181611919956E-01 -2.240461080259E-02,
       0.0600:  0.000000000000E+00  7.179161743433E-01 -2.888431972969E-02,
       0.0700:  0.000000000000E+00  7.175795803841E-01 -3.653660806883E-02,
       0.0800:  0.000000000000E+00  7.171461204766E-01 -4.476082529695E-02,
       0.0900:  0.000000000000E+00  7.166200701067E-01 -5.299553556017E-02,
       0.1000:  0.000000000000E+00  7.160126142671E-01 -6.087931712133E-02,
       0.1100:  0.000000000000E+00  7.153377821401E-01 -6.830101129171E-02,
       0.1200:  0.000000000000E+00  7.146080556146E-01 -7.538336628736E-02,
       0.1300:  0.000000000000E+00  7.138308459869E-01 -8.238335356619E-02,
       0.1400:  0.000000000000E+00  7.130082207494E-01 -8.959034517242E-02,
       0.1500:  0.000000000000E+00  7.121383297128E-01 -9.740121836234E-02,
       0.1600:  0.000000000000E+00  7.112139371724E-01 -1.065165265029E-01,
       0.1700:  0.000000000000E+00  7.102176183085E-01 -1.180183726665E-01,
       0.1800:  0.000000000000E+00  7.091172317607E-01 -1.332418764674E-01,
       0.1900:  0.000000000000E+00  7.078645915166E-01 -1.535179080774E-01,
       0.2000:  0.000000000000E+00  7.063985922508E-01 -1.799165343282E-01,
       0.2100:  0.000000000000E+00  7.046514437807E-01 -2.131729953137E-01,
       0.2200:  0.000000000000E+00  7.025532698544E-01 -2.538524374013E-01,
       0.2300:  0.000000000000E+00  7.000324010928E-01 -3.025651896025E-01,
       0.2400:  0.000000000000E+00  6.970134030899E-01 -3.601078670626E-01,
       0.2500:  0.000000000000E+00  6.934138860917E-01 -4.275778744928E-01,
       0.2600:  0.000000000000E+00  6.891399199548E-01 -5.064200967259E-01,
       0.2700:  0.000000000000E+00  6.840828006703E-01 -5.984041260999E-01,
       0.2800:  0.000000000000E+00  6.781171243059E-01 -7.057561284984E-01,
       0.2900:  0.000000000000E+00  6.710947659099E-01 -8.314683599989E-01,
       0.3000:  0.000000000000E+00  6.628339155204E-01 -9.795201873308E-01,
       0.3100:  0.000000000000E+00  6.531073776646E-01 -1.154963221211E+00,
       0.3200:  0.000000000000E+00  6.416304551367E-01 -1.364012000043E+00,
       0.3300:  0.000000000000E+00  6.280458815788E-01 -1.614147330378E+00,
       0.3400:  0.000000000000E+00  6.119032030129E-01 -1.914235051938E+00,
       0.3500:  0.000000000000E+00  5.926257430399E-01 -2.274640969543E+00,
       0.3600:  0.000000000000E+00  5.694543393632E-01 -2.706929715205E+00,
       0.3700:  0.000000000000E+00  5.413566395088E-01 -3.222055503116E+00,
       0.3800:  0.000000000000E+00  5.068951655939E-01 -3.824582689010E+00,
       0.3900:  0.000000000000E+00  4.639183969779E-01 -4.501714263736E+00,
       0.4000:  0.000000000000E+00  4.133415644836E-01 -4.919168493318E+00,
       0.4100:  0.000000000000E+00  3.592145646529E-01 -5.059038804523E+00,
       0.4200:  0.000000000000E+00  3.050897054388E-01 -4.917458173046E+00,
       0.4300:  0.000000000000E+00  2.545124974496E-01 -4.499265313684E+00,
       0.4400:  0.000000000000E+00  2.115158418896E-01 -3.822954550461E+00,
       0.4500:  0.000000000000E+00  1.769951500502E-01 -3.222851292216E+00,
       0.4600:  0.000000000000E+00  1.487833531761E-01 -2.711309794239E+00,
       0.4700:  0.000000000000E+00  1.254366719693E-01 -2.283017445237E+00,
       0.4800:  0.000000000000E+00  1.059277024201E-01 -1.926192323024E+00,
       0.4900:  0.000000000000E+00  8.951277992935E-02 -1.628565736678E+00,
       0.5000:  0.000000000000E+00  7.563859680111E-02 -1.379380457725E+00,
       0.5100:  0.000000000000E+00  6.388035797950E-02 -1.169848352713E+00,
       0.5200:  0.000000000000E+00  5.390104620013E-02 -9.930227272969E-01,
       0.5300:  0.000000000000E+00  4.542490430582E-02 -8.434931470956E-01,
       0.5400:  0.000000000000E+00  3.821958291437E-02 -7.170500793968E-01,
       0.5500:  0.000000000000E+00  3.208436852356E-02 -6.102910469860E-01,
       0.5600:  0.000000000000E+00  2.684484260734E-02 -5.202141041438E-01,
       0.5700:  0.000000000000E+00  2.235278121241E-02 -4.439510467151E-01,
       0.5800:  0.000000000000E+00  1.848808065717E-02 -3.787067333191E-01,
       0.5900:  0.000000000000E+00  1.515990023818E-02 -3.218786345267E-01,
       0.6000:  0.000000000000E+00  1.230473277339E-02 -2.712864349990E-01,
       0.6100:  0.000000000000E+00  9.880598976698E-03 -2.253792921727E-01,
       0.6200:  0.000000000000E+00  7.858843431498E-03 -1.833298089264E-01,
       0.6300:  0.000000000000E+00  6.215125841387E-03 -1.450062364920E-01,
       0.6400:  0.000000000000E+00  4.921252229866E-03 -1.108033780627E-01,
       0.6500:  0.000000000000E+00  3.940290457305E-03 -8.136607112251E-02,
       0.6600:  0.000000000000E+00  3.225528266940E-03 -5.732050846552E-02,
       0.6700:  0.000000000000E+00  2.721974878740E-03 -3.906129731764E-02,
       0.6800:  0.000000000000E+00  2.369917136463E-03 -2.659920997874E-02,
       0.6900:  0.000000000000E+00  2.109657645014E-03 -1.950752678323E-02,
       0.7000:  0.000000000000E+00  1.886108521876E-03 -1.692876739434E-02
      }
    },
    curve = {
      m    = 1,
      kind = sin,
      derivs = {
      -0.7000: -2.010452540465E+00  2.689718008053E+00  9.019304473165E+01,
      -0.6900: -1.980174327441E+00  3.587875820105E+00  8.736325697908E+01,
      -0.6800: -1.941406527478E+00  4.454455748305E+00  8.361958720509E+01,
      -0.6700: -1.894521792606E+00  5.281270402416E+00  7.901745370410E+01,
      -0.6600: -1.839938435550E+00  6.059204879629E+00  7.367404884427E+01,
      -0.6500: -1.778261414199E+00  6.778367869350E+00  6.732082258642E+01,
      -0.6400: -1.710205084572E+00  7.427864388439E+00  5.973439214134E+01,
      -0.6300: -1.636474262239E+00  7.996257344396E+00  5.108751938213E+01,
      -0.6200: -1.557896924452E+00  8.471881962019E+00  4.147087605536E+01,
      -0.6100: -1.475436490099E+00  8.842853269216E+00  3.096090683625E+01,
      -0.6000: -1.389996442257E+00  9.099056769979E+00  2.015483047859E+01,
      -0.5900: -1.302432832780E+00  9.236929516687E+00  9.798404847471E+00,
      -0.5800: -1.213576748145E+00  9.264050778804E+00  5.813815656570E-01,
      -0.5700: -1.124119366192E+00  9.200190225637E+00 -6.686397475353E+00,
      -0.5600: -1.034613428718E+00  9.074011676541E+00 -1.146231742225E+01,
      -0.5500: -9.455173630968E-01  8.917183692517E+00 -1.375137451705E+01,
      -0.5400: -8.571693170136E-01  8.757563030511E+00 -1.393616766974E+01,
      -0.5300: -7.697696028067E-01  8.613802559025E+00 -1.262879104972E+01,
      -0.5200: -6.834170569421E-01  8.494098729488E+00 -1.057451148272E+01,
      -0.5100: -5.981088542843E-01  8.399094673242E+00 -8.401576874689E+00,
      -0.5000: -5.137744266061E-01  8.325631001322E+00 -6.544919375503E+00,
      -0.4900: -4.302856760983E-01  8.269258479552E+00 -5.188201722250E+00,
      -0.4800: -3.474819186064E-01  8.225440617944E+00 -4.303663218365E+00,
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      -0.4400: -2.059320441580E-02  8.102269437434E+00 -3.214912852324E+00,
      -0.4300:  6.025990959243E-02  8.071540850546E+00 -3.317365254150E+00,
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      -0.4100:  2.206491763277E-01  7.997996469722E+00 -4.203720243674E+00,
      -0.4000:  3.000824942738E-01  7.952539136768E+00 -4.995765231191E+00,
      -0.3900:  3.789741196710E-01  7.899895493769E+00 -5.900334325109E+00,
      -0.3800:  4.573008598922E-01  7.839362168683E+00 -6.796463121636E+00,
      -0.3700:  5.350203804744E-01  7.770435063864E+00 -7.584964486619E+00,
      -0.3600:  6.120504253819E-01  7.692723643225E+00 -8.265933174378E+00,
      -0.3500:  6.882645293939E-01  7.605886204656E+00 -8.953061856347E+00,
      -0.3400:  7.635334773767E-01  7.509682790732E+00 -9.757889609576E+00,
      -0.3300:  8.377439094439E-01  7.404061852445E+00 -1.073294430392E+01,
      -0.3200:  9.108074714186E-01  7.289174595871E+00 -1.185927444535E+01,
      -0.3100:  9.826672105844E-01  7.165257069894E+00 -1.300981226735E+01,
      -0.3000:  1.053270886235E+00  7.032499556155E+00 -1.403876317374E+01,
      -0.2900:  1.122542271974E+00  6.890959562462E+00 -1.488894478529E+01,
      -0.2800:  1.190383625686E+00  6.740644764804E+00 -1.560551305337E+01,
      -0.2700:  1.256693881638E+00  6.581690559345E+00 -1.626912455411E+01,
      -0.2600:  1.321373662256E+00  6.414466093989E+00 -1.696521818102E+01,
      -0.2500:  1.384345146216E+00  6.239492348870E+00 -1.770498492234E+01,
      -0.2400:  1.445542917319E+00  6.057223534054E+00 -1.844434540508E+01,
      -0.2300:  1.504890942212E+00  5.867833503645E+00 -1.916644954345E+01,
      -0.2200:  1.562305052967E+00  5.671204042403E+00 -1.989923157999E+01,
      -0.2100:  1.617707765077E+00  5.467139918541E+00 -2.065938877872E+01,
      -0.2000:  1.671028968635E+00  5.255629495755E+00 -2.144687226918E+01,
      -0.1900:  1.722209885280E+00  5.036949037706E+00 -2.223065199852E+01,
      -0.1800:  1.771196363733E+00  4.811532031825E+00 -2.294976455597E+01,
      -0.1700:  1.817917952338E+00  4.579727473952E+00 -2.358534347557E+01,
      -0.1600:  1.862290132112E+00  4.341681067378E+00 -2.418701350514E+01,
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