function [magma,inferno,plasma,viridis]=colormaps %allows use of the colormaps as seen in %http://medvis.org/2016/02/23/better-than-the-rainbow-the-matplotlib-alternative-colormaps/ magma = [0.001462 0.000466 0.013866; 0.002258 0.001295 0.018331; 0.003279 0.002305 0.023708; 0.004512 0.003490 0.029965; 0.005950 0.004843 0.037130; 0.007588 0.006356 0.044973; 0.009426 0.008022 0.052844; 0.011465 0.009828 0.060750; 0.013708 0.011771 0.068667; 0.016156 0.013840 0.076603; 0.018815 0.016026 0.084584; 0.021692 0.018320 0.092610; 0.024792 0.020715 0.100676; 0.028123 0.023201 0.108787; 0.031696 0.025765 0.116965; 0.035520 0.028397 0.125209; 0.039608 0.031090 0.133515; 0.043830 0.033830 0.141886; 0.048062 0.036607 0.150327; 0.052320 0.039407 0.158841; 0.056615 0.042160 0.167446; 0.060949 0.044794 0.176129; 0.065330 0.047318 0.184892; 0.069764 0.049726 0.193735; 0.074257 0.052017 0.202660; 0.078815 0.054184 0.211667; 0.083446 0.056225 0.220755; 0.088155 0.058133 0.229922; 0.092949 0.059904 0.239164; 0.097833 0.061531 0.248477; 0.102815 0.063010 0.257854; 0.107899 0.064335 0.267289; 0.113094 0.065492 0.276784; 0.118405 0.066479 0.286321; 0.123833 0.067295 0.295879; 0.129380 0.067935 0.305443; 0.135053 0.068391 0.315000; 0.140858 0.068654 0.324538; 0.146785 0.068738 0.334011; 0.152839 0.068637 0.343404; 0.159018 0.068354 0.352688; 0.165308 0.067911 0.361816; 0.171713 0.067305 0.370771; 0.178212 0.066576 0.379497; 0.184801 0.065732 0.387973; 0.191460 0.064818 0.396152; 0.198177 0.063862 0.404009; 0.204935 0.062907 0.411514; 0.211718 0.061992 0.418647; 0.218512 0.061158 0.425392; 0.225302 0.060445 0.431742; 0.232077 0.059889 0.437695; 0.238826 0.059517 0.443256; 0.245543 0.059352 0.448436; 0.252220 0.059415 0.453248; 0.258857 0.059706 0.457710; 0.265447 0.060237 0.461840; 0.271994 0.060994 0.465660; 0.278493 0.061978 0.469190; 0.284951 0.063168 0.472451; 0.291366 0.064553 0.475462; 0.297740 0.066117 0.478243; 0.304081 0.067835 0.480812; 0.310382 0.069702 0.483186; 0.316654 0.071690 0.485380; 0.322899 0.073782 0.487408; 0.329114 0.075972 0.489287; 0.335308 0.078236 0.491024; 0.341482 0.080564 0.492631; 0.347636 0.082946 0.494121; 0.353773 0.085373 0.495501; 0.359898 0.087831 0.496778; 0.366012 0.090314 0.497960; 0.372116 0.092816 0.499053; 0.378211 0.095332 0.500067; 0.384299 0.097855 0.501002; 0.390384 0.100379 0.501864; 0.396467 0.102902 0.502658; 0.402548 0.105420 0.503386; 0.408629 0.107930 0.504052; 0.414709 0.110431 0.504662; 0.420791 0.112920 0.505215; 0.426877 0.115395 0.505714; 0.432967 0.117855 0.506160; 0.439062 0.120298 0.506555; 0.445163 0.122724 0.506901; 0.451271 0.125132 0.507198; 0.457386 0.127522 0.507448; 0.463508 0.129893 0.507652; 0.469640 0.132245 0.507809; 0.475780 0.134577 0.507921; 0.481929 0.136891 0.507989; 0.488088 0.139186 0.508011; 0.494258 0.141462 0.507988; 0.500438 0.143719 0.507920; 0.506629 0.145958 0.507806; 0.512831 0.148179 0.507648; 0.519045 0.150383 0.507443; 0.525270 0.152569 0.507192; 0.531507 0.154739 0.506895; 0.537755 0.156894 0.506551; 0.544015 0.159033 0.506159; 0.550287 0.161158 0.505719; 0.556571 0.163269 0.505230; 0.562866 0.165368 0.504692; 0.569172 0.167454 0.504105; 0.575490 0.169530 0.503466; 0.581819 0.171596 0.502777; 0.588158 0.173652 0.502035; 0.594508 0.175701 0.501241; 0.600868 0.177743 0.500394; 0.607238 0.179779 0.499492; 0.613617 0.181811 0.498536; 0.620005 0.183840 0.497524; 0.626401 0.185867 0.496456; 0.632805 0.187893 0.495332; 0.639216 0.189921 0.494150; 0.645633 0.191952 0.492910; 0.652056 0.193986 0.491611; 0.658483 0.196027 0.490253; 0.664915 0.198075 0.488836; 0.671349 0.200133 0.487358; 0.677786 0.202203 0.485819; 0.684224 0.204286 0.484219; 0.690661 0.206384 0.482558; 0.697098 0.208501 0.480835; 0.703532 0.210638 0.479049; 0.709962 0.212797 0.477201; 0.716387 0.214982 0.475290; 0.722805 0.217194 0.473316; 0.729216 0.219437 0.471279; 0.735616 0.221713 0.469180; 0.742004 0.224025 0.467018; 0.748378 0.226377 0.464794; 0.754737 0.228772 0.462509; 0.761077 0.231214 0.460162; 0.767398 0.233705 0.457755; 0.773695 0.236249 0.455289; 0.779968 0.238851 0.452765; 0.786212 0.241514 0.450184; 0.792427 0.244242 0.447543; 0.798608 0.247040 0.444848; 0.804752 0.249911 0.442102; 0.810855 0.252861 0.439305; 0.816914 0.255895 0.436461; 0.822926 0.259016 0.433573; 0.828886 0.262229 0.430644; 0.834791 0.265540 0.427671; 0.840636 0.268953 0.424666; 0.846416 0.272473 0.421631; 0.852126 0.276106 0.418573; 0.857763 0.279857 0.415496; 0.863320 0.283729 0.412403; 0.868793 0.287728 0.409303; 0.874176 0.291859 0.406205; 0.879464 0.296125 0.403118; 0.884651 0.300530 0.400047; 0.889731 0.305079 0.397002; 0.894700 0.309773 0.393995; 0.899552 0.314616 0.391037; 0.904281 0.319610 0.388137; 0.908884 0.324755 0.385308; 0.913354 0.330052 0.382563; 0.917689 0.335500 0.379915; 0.921884 0.341098 0.377376; 0.925937 0.346844 0.374959; 0.929845 0.352734 0.372677; 0.933606 0.358764 0.370541; 0.937221 0.364929 0.368567; 0.940687 0.371224 0.366762; 0.944006 0.377643 0.365136; 0.947180 0.384178 0.363701; 0.950210 0.390820 0.362468; 0.953099 0.397563 0.361438; 0.955849 0.404400 0.360619; 0.958464 0.411324 0.360014; 0.960949 0.418323 0.359630; 0.963310 0.425390 0.359469; 0.965549 0.432519 0.359529; 0.967671 0.439703 0.359810; 0.969680 0.446936 0.360311; 0.971582 0.454210 0.361030; 0.973381 0.461520 0.361965; 0.975082 0.468861 0.363111; 0.976690 0.476226 0.364466; 0.978210 0.483612 0.366025; 0.979645 0.491014 0.367783; 0.981000 0.498428 0.369734; 0.982279 0.505851 0.371874; 0.983485 0.513280 0.374198; 0.984622 0.520713 0.376698; 0.985693 0.528148 0.379371; 0.986700 0.535582 0.382210; 0.987646 0.543015 0.385210; 0.988533 0.550446 0.388365; 0.989363 0.557873 0.391671; 0.990138 0.565296 0.395122; 0.990871 0.572706 0.398714; 0.991558 0.580107 0.402441; 0.992196 0.587502 0.406299; 0.992785 0.594891 0.410283; 0.993326 0.602275 0.414390; 0.993834 0.609644 0.418613; 0.994309 0.616999 0.422950; 0.994738 0.624350 0.427397; 0.995122 0.631696 0.431951; 0.995480 0.639027 0.436607; 0.995810 0.646344 0.441361; 0.996096 0.653659 0.446213; 0.996341 0.660969 0.451160; 0.996580 0.668256 0.456192; 0.996775 0.675541 0.461314; 0.996925 0.682828 0.466526; 0.997077 0.690088 0.471811; 0.997186 0.697349 0.477182; 0.997254 0.704611 0.482635; 0.997325 0.711848 0.488154; 0.997351 0.719089 0.493755; 0.997351 0.726324 0.499428; 0.997341 0.733545 0.505167; 0.997285 0.740772 0.510983; 0.997228 0.747981 0.516859; 0.997138 0.755190 0.522806; 0.997019 0.762398 0.528821; 0.996898 0.769591 0.534892; 0.996727 0.776795 0.541039; 0.996571 0.783977 0.547233; 0.996369 0.791167 0.553499; 0.996162 0.798348 0.559820; 0.995932 0.805527 0.566202; 0.995680 0.812706 0.572645; 0.995424 0.819875 0.579140; 0.995131 0.827052 0.585701; 0.994851 0.834213 0.592307; 0.994524 0.841387 0.598983; 0.994222 0.848540 0.605696; 0.993866 0.855711 0.612482; 0.993545 0.862859 0.619299; 0.993170 0.870024 0.626189; 0.992831 0.877168 0.633109; 0.992440 0.884330 0.640099; 0.992089 0.891470 0.647116; 0.991688 0.898627 0.654202; 0.991332 0.905763 0.661309; 0.990930 0.912915 0.668481; 0.990570 0.920049 0.675675; 0.990175 0.927196 0.682926; 0.989815 0.934329 0.690198; 0.989434 0.941470 0.697519; 0.989077 0.948604 0.704863; 0.988717 0.955742 0.712242; 0.988367 0.962878 0.719649; 0.988033 0.970012 0.727077; 0.987691 0.977154 0.734536; 0.987387 0.984288 0.742002; 0.987053 0.991438 0.749504]; inferno = [0.001462 0.000466 0.013866; 0.002267 0.001270 0.018570; 0.003299 0.002249 0.024239; 0.004547 0.003392 0.030909; 0.006006 0.004692 0.038558; 0.007676 0.006136 0.046836; 0.009561 0.007713 0.055143; 0.011663 0.009417 0.063460; 0.013995 0.011225 0.071862; 0.016561 0.013136 0.080282; 0.019373 0.015133 0.088767; 0.022447 0.017199 0.097327; 0.025793 0.019331 0.105930; 0.029432 0.021503 0.114621; 0.033385 0.023702 0.123397; 0.037668 0.025921 0.132232; 0.042253 0.028139 0.141141; 0.046915 0.030324 0.150164; 0.051644 0.032474 0.159254; 0.056449 0.034569 0.168414; 0.061340 0.036590 0.177642; 0.066331 0.038504 0.186962; 0.071429 0.040294 0.196354; 0.076637 0.041905 0.205799; 0.081962 0.043328 0.215289; 0.087411 0.044556 0.224813; 0.092990 0.045583 0.234358; 0.098702 0.046402 0.243904; 0.104551 0.047008 0.253430; 0.110536 0.047399 0.262912; 0.116656 0.047574 0.272321; 0.122908 0.047536 0.281624; 0.129285 0.047293 0.290788; 0.135778 0.046856 0.299776; 0.142378 0.046242 0.308553; 0.149073 0.045468 0.317085; 0.155850 0.044559 0.325338; 0.162689 0.043554 0.333277; 0.169575 0.042489 0.340874; 0.176493 0.041402 0.348111; 0.183429 0.040329 0.354971; 0.190367 0.039309 0.361447; 0.197297 0.038400 0.367535; 0.204209 0.037632 0.373238; 0.211095 0.037030 0.378563; 0.217949 0.036615 0.383522; 0.224763 0.036405 0.388129; 0.231538 0.036405 0.392400; 0.238273 0.036621 0.396353; 0.244967 0.037055 0.400007; 0.251620 0.037705 0.403378; 0.258234 0.038571 0.406485; 0.264810 0.039647 0.409345; 0.271347 0.040922 0.411976; 0.277850 0.042353 0.414392; 0.284321 0.043933 0.416608; 0.290763 0.045644 0.418637; 0.297178 0.047470 0.420491; 0.303568 0.049396 0.422182; 0.309935 0.051407 0.423721; 0.316282 0.053490 0.425116; 0.322610 0.055634 0.426377; 0.328921 0.057827 0.427511; 0.335217 0.060060 0.428524; 0.341500 0.062325 0.429425; 0.347771 0.064616 0.430217; 0.354032 0.066925 0.430906; 0.360284 0.069247 0.431497; 0.366529 0.071579 0.431994; 0.372768 0.073915 0.432400; 0.379001 0.076253 0.432719; 0.385228 0.078591 0.432955; 0.391453 0.080927 0.433109; 0.397674 0.083257 0.433183; 0.403894 0.085580 0.433179; 0.410113 0.087896 0.433098; 0.416331 0.090203 0.432943; 0.422549 0.092501 0.432714; 0.428768 0.094790 0.432412; 0.434987 0.097069 0.432039; 0.441207 0.099338 0.431594; 0.447428 0.101597 0.431080; 0.453651 0.103848 0.430498; 0.459875 0.106089 0.429846; 0.466100 0.108322 0.429125; 0.472328 0.110547 0.428334; 0.478558 0.112764 0.427475; 0.484789 0.114974 0.426548; 0.491022 0.117179 0.425552; 0.497257 0.119379 0.424488; 0.503493 0.121575 0.423356; 0.509730 0.123769 0.422156; 0.515967 0.125960 0.420887; 0.522206 0.128150 0.419549; 0.528444 0.130341 0.418142; 0.534683 0.132534 0.416667; 0.540920 0.134729 0.415123; 0.547157 0.136929 0.413511; 0.553392 0.139134 0.411829; 0.559624 0.141346 0.410078; 0.565854 0.143567 0.408258; 0.572081 0.145797 0.406369; 0.578304 0.148039 0.404411; 0.584521 0.150294 0.402385; 0.590734 0.152563 0.400290; 0.596940 0.154848 0.398125; 0.603139 0.157151 0.395891; 0.609330 0.159474 0.393589; 0.615513 0.161817 0.391219; 0.621685 0.164184 0.388781; 0.627847 0.166575 0.386276; 0.633998 0.168992 0.383704; 0.640135 0.171438 0.381065; 0.646260 0.173914 0.378359; 0.652369 0.176421 0.375586; 0.658463 0.178962 0.372748; 0.664540 0.181539 0.369846; 0.670599 0.184153 0.366879; 0.676638 0.186807 0.363849; 0.682656 0.189501 0.360757; 0.688653 0.192239 0.357603; 0.694627 0.195021 0.354388; 0.700576 0.197851 0.351113; 0.706500 0.200728 0.347777; 0.712396 0.203656 0.344383; 0.718264 0.206636 0.340931; 0.724103 0.209670 0.337424; 0.729909 0.212759 0.333861; 0.735683 0.215906 0.330245; 0.741423 0.219112 0.326576; 0.747127 0.222378 0.322856; 0.752794 0.225706 0.319085; 0.758422 0.229097 0.315266; 0.764010 0.232554 0.311399; 0.769556 0.236077 0.307485; 0.775059 0.239667 0.303526; 0.780517 0.243327 0.299523; 0.785929 0.247056 0.295477; 0.791293 0.250856 0.291390; 0.796607 0.254728 0.287264; 0.801871 0.258674 0.283099; 0.807082 0.262692 0.278898; 0.812239 0.266786 0.274661; 0.817341 0.270954 0.270390; 0.822386 0.275197 0.266085; 0.827372 0.279517 0.261750; 0.832299 0.283913 0.257383; 0.837165 0.288385 0.252988; 0.841969 0.292933 0.248564; 0.846709 0.297559 0.244113; 0.851384 0.302260 0.239636; 0.855992 0.307038 0.235133; 0.860533 0.311892 0.230606; 0.865006 0.316822 0.226055; 0.869409 0.321827 0.221482; 0.873741 0.326906 0.216886; 0.878001 0.332060 0.212268; 0.882188 0.337287 0.207628; 0.886302 0.342586 0.202968; 0.890341 0.347957 0.198286; 0.894305 0.353399 0.193584; 0.898192 0.358911 0.188860; 0.902003 0.364492 0.184116; 0.905735 0.370140 0.179350; 0.909390 0.375856 0.174563; 0.912966 0.381636 0.169755; 0.916462 0.387481 0.164924; 0.919879 0.393389 0.160070; 0.923215 0.399359 0.155193; 0.926470 0.405389 0.150292; 0.929644 0.411479 0.145367; 0.932737 0.417627 0.140417; 0.935747 0.423831 0.135440; 0.938675 0.430091 0.130438; 0.941521 0.436405 0.125409; 0.944285 0.442772 0.120354; 0.946965 0.449191 0.115272; 0.949562 0.455660 0.110164; 0.952075 0.462178 0.105031; 0.954506 0.468744 0.099874; 0.956852 0.475356 0.094695; 0.959114 0.482014 0.089499; 0.961293 0.488716 0.084289; 0.963387 0.495462 0.079073; 0.965397 0.502249 0.073859; 0.967322 0.509078 0.068659; 0.969163 0.515946 0.063488; 0.970919 0.522853 0.058367; 0.972590 0.529798 0.053324; 0.974176 0.536780 0.048392; 0.975677 0.543798 0.043618; 0.977092 0.550850 0.039050; 0.978422 0.557937 0.034931; 0.979666 0.565057 0.031409; 0.980824 0.572209 0.028508; 0.981895 0.579392 0.026250; 0.982881 0.586606 0.024661; 0.983779 0.593849 0.023770; 0.984591 0.601122 0.023606; 0.985315 0.608422 0.024202; 0.985952 0.615750 0.025592; 0.986502 0.623105 0.027814; 0.986964 0.630485 0.030908; 0.987337 0.637890 0.034916; 0.987622 0.645320 0.039886; 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