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Question: plot a complex function implicitly

Question:plot a complex function implicitly

mehdi jafari 774 Maple 2024
complexplot implicit plotting incomplete-question
July 01 2025
1

Hi. how can i plot this function (FF) ?

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restart
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NULL
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FF := evalf((5.00000*10^(-1))*sqrt(2.00000*10^0)*sqrt((-(2.86309*10^0)*P1-(1.66947*10^5)*(-(1.78626*10^(-6))*P1+(-1.03200*10^(-6)-I*(2.12871*10^(-209)))*P1)*exp(-(3.24175*10^(-1))*x)-(1.66947*10^5)*(-(4.18761*10^(-119))*P1+(-2.41935*10^(-119)-I*(4.99043*10^(-322)))*P1)*exp((3.24175*10^(-1))*x)+(4.83452*10^3+I*(9.71800*10^2))*((4.91783*10^(-20)+I*(4.44752*10^(-19)))*P1-(7.23576*10^(-19))*P1)*exp((4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(4.83452*10^3+I*(9.71800*10^2))*((-1.86327*10^(-5)+I*(5.29561*10^(-5)))*P1+(2.76726*10^(-4))*P1)*exp((-4.17729*10^(-2)-I*(3.63246*10^(-2)))*x)+(4.83452*10^3-I*(9.71800*10^2))*((-1.86327*10^(-5)-I*(5.29561*10^(-5)))*P1+(2.76726*10^(-4))*P1)*exp((-4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(-1.00000*10^(-200)-I*(1.00000*10^(-403)))*P1+(-7.80021*10^(-2750)-I*(3.11940*10^(-2750)))*((-3.43175*10^2733+I*(1.99678*10^2732))*P1+(5.08514*10^2734)*P1)*exp((4.17729*10^(-2)-I*(3.63246*10^(-2)))*x))^(2.00000*10^0)+(-(1.53846*10^5)*(-(6.46014*10^(-7))*P1+(-3.73229*10^(-7)-I*(7.69863*10^(-210)))*P1)*exp(-(3.24175*10^(-1))*x)-(1.53846*10^5)*(-(1.51448*10^(-119))*P1+(-8.74976*10^(-120)-I*(1.80482*10^(-322)))*P1)*exp((3.24175*10^(-1))*x)+(2.51785*10^0)*P1+(-6.25305*10^3+I*(3.19024*10^3))*((-1.86327*10^(-5)+I*(5.29561*10^(-5)))*P1+(2.76726*10^(-4))*P1)*exp((-4.17729*10^(-2)-I*(3.63246*10^(-2)))*x)+(-6.25305*10^3+I*(3.19024*10^3))*((4.91783*10^(-20)+I*(4.44752*10^(-19)))*P1-(7.23576*10^(-19))*P1)*exp((4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(-6.25305*10^3-I*(3.19024*10^3))*((-1.86327*10^(-5)-I*(5.29561*10^(-5)))*P1+(2.76726*10^(-4))*P1)*exp((-4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(5.94458*10^(-2750)+I*(1.03769*10^(-2749)))*((-3.43175*10^2733+I*(1.99678*10^2732))*P1+(5.08514*10^2734)*P1)*exp((4.17729*10^(-2)-I*(3.63246*10^(-2)))*x)+(-4.53057*10^(-1)-I*(9.34527*10^(-204)))*P1+(4.43548*10^4)*(-(1.78626*10^(-6))*P1+(-1.03200*10^(-6)-I*(2.12871*10^(-209)))*P1)*exp(-(3.24175*10^(-1))*x)+(4.43548*10^4)*(-(4.18761*10^(-119))*P1+(-2.41935*10^(-119)-I*(4.99043*10^(-322)))*P1)*exp((3.24175*10^(-1))*x)+(-1.53846*10^5-I*(3.36949*10^(-198)))*((-1.28153*10^(-7)-I*(3.64224*10^(-7)))*P1+(1.90328*10^(-6))*P1)*exp((-4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(1.20721*10^(-220)+I*(7.88859*10^(-221)))*((-4.28969*10^203+I*(2.49597*10^202))*P1+(6.35642*10^204)*P1)*exp((4.17729*10^(-2)-I*(3.63246*10^(-2)))*x)+(-1.53846*10^5+I*(3.36949*10^(-198)))*((3.38241*10^(-22)+I*(3.05893*10^(-21)))*P1-(4.97664*10^(-21))*P1)*exp((4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(-1.53846*10^5+I*(3.36949*10^(-198)))*((-1.28153*10^(-7)+I*(3.64224*10^(-7)))*P1+(1.90328*10^(-6))*P1)*exp((-4.17729*10^(-2)-I*(3.63246*10^(-2)))*x))^(2.00000*10^0)+(-(1.53846*10^5)*(-(6.46014*10^(-7))*P1+(-3.73229*10^(-7)-I*(7.69863*10^(-210)))*P1)*exp(-(3.24175*10^(-1))*x)-(1.53846*10^5)*(-(1.51448*10^(-119))*P1+(-8.74976*10^(-120)-I*(1.80482*10^(-322)))*P1)*exp((3.24175*10^(-1))*x)-(3.45235*10^(-1))*P1-(1.22592*10^5)*(-(1.78626*10^(-6))*P1+(-1.03200*10^(-6)-I*(2.12871*10^(-209)))*P1)*exp(-(3.24175*10^(-1))*x)-(1.22592*10^5)*(-(4.18761*10^(-119))*P1+(-2.41935*10^(-119)-I*(4.99043*10^(-322)))*P1)*exp((3.24175*10^(-1))*x)+(-1.41853*10^3+I*(4.16204*10^3))*((4.91783*10^(-20)+I*(4.44752*10^(-19)))*P1-(7.23576*10^(-19))*P1)*exp((4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(-1.41853*10^3+I*(4.16204*10^3))*((-1.86327*10^(-5)+I*(5.29561*10^(-5)))*P1+(2.76726*10^(-4))*P1)*exp((-4.17729*10^(-2)-I*(3.63246*10^(-2)))*x)+(-1.53846*10^5-I*(3.36949*10^(-198)))*((-1.28153*10^(-7)-I*(3.64224*10^(-7)))*P1+(1.90328*10^(-6))*P1)*exp((-4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(-1.41853*10^3-I*(4.16204*10^3))*((-1.86327*10^(-5)-I*(5.29561*10^(-5)))*P1+(2.76726*10^(-4))*P1)*exp((-4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(-1.53846*10^5+I*(3.36949*10^(-198)))*((-1.28153*10^(-7)+I*(3.64224*10^(-7)))*P1+(1.90328*10^(-6))*P1)*exp((-4.17729*10^(-2)-I*(3.63246*10^(-2)))*x)+(-1.53846*10^5+I*(3.36949*10^(-198)))*((3.38241*10^(-22)+I*(3.05893*10^(-21)))*P1-(4.97664*10^(-21))*P1)*exp((4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(1.20721*10^(-220)+I*(7.88859*10^(-221)))*((-4.28969*10^203+I*(2.49597*10^202))*P1+(6.35642*10^204)*P1)*exp((4.17729*10^(-2)-I*(3.63246*10^(-2)))*x)+(-4.53057*10^(-1)-I*(9.34527*10^(-204)))*P1+(-1.85563*10^(-2750)+I*(7.25748*10^(-2750)))*((-3.43175*10^2733+I*(1.99678*10^2732))*P1+(5.08514*10^2734)*P1)*exp((4.17729*10^(-2)-I*(3.63246*10^(-2)))*x))^(2.00000*10^0)+(6.00000*10^0)*(-(2.25126*10^5)*(-(1.78626*10^(-6))*P1+(-1.03200*10^(-6)-I*(2.12871*10^(-209)))*P1)*exp(-(3.24175*10^(-1))*x)+(2.25126*10^5)*(-(4.18761*10^(-119))*P1+(-2.41935*10^(-119)-I*(4.99043*10^(-322)))*P1)*exp((3.24175*10^(-1))*x)+(1.79100*10^3-I*(5.22310*10^2))*((-1.86327*10^(-5)+I*(5.29561*10^(-5)))*P1+(2.76726*10^(-4))*P1)*exp((-4.17729*10^(-2)-I*(3.63246*10^(-2)))*x)+(-1.79100*10^3+I*(5.22310*10^2))*((4.91783*10^(-20)+I*(4.44752*10^(-19)))*P1-(7.23576*10^(-19))*P1)*exp((4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(1.79100*10^3+I*(5.22310*10^2))*((-1.86327*10^(-5)-I*(5.29561*10^(-5)))*P1+(2.76726*10^(-4))*P1)*exp((-4.17729*10^(-2)+I*(3.63246*10^(-2)))*x)+(2.06743*10^(-2750)+I*(2.41391*10^(-2750)))*((-3.43175*10^2733+I*(1.99678*10^2732))*P1+(5.08514*10^2734)*P1)*exp((4.17729*10^(-2)-I*(3.63246*10^(-2)))*x))^(2.00000*10^0))-250)

.7071067810*((-2.86309*P1-166947.0000*(-0.1786260000e-5*P1+(-0.1032000000e-5-0.2128710000e-208*I)*P1)*exp(-.3241750000*x)-166947.0000*(-0.4187610000e-118*P1+(-0.2419350000e-118-0.4990430000e-321*I)*P1)*exp(.3241750000*x)+(4834.52000+971.80000*I)*((0.4917830000e-19+0.4447520000e-18*I)*P1-0.7235760000e-18*P1)*exp((0.4177290000e-1+0.3632460000e-1*I)*x)+(4834.52000+971.80000*I)*((-0.1863270000e-4+0.5295610000e-4*I)*P1+0.2767260000e-3*P1)*exp((-0.4177290000e-1-0.3632460000e-1*I)*x)+(4834.52000-971.80000*I)*((-0.1863270000e-4-0.5295610000e-4*I)*P1+0.2767260000e-3*P1)*exp((-0.4177290000e-1+0.3632460000e-1*I)*x)+(-0.1000000000e-199-0.1000000000e-402*I)*P1+(-0.7800210000e-2749-0.3119400000e-2749*I)*((-0.3431750000e2734+0.1996780000e2733*I)*P1+0.5085140000e2735*P1)*exp((0.4177290000e-1-0.3632460000e-1*I)*x))^2.00000+(-153846.0000*(-0.6460140000e-6*P1+(-0.3732290000e-6-0.7698630000e-209*I)*P1)*exp(-.3241750000*x)-153846.0000*(-0.1514480000e-118*P1+(-0.8749760000e-119-0.1804820000e-321*I)*P1)*exp(.3241750000*x)+2.51785*P1+(-6253.05000+3190.24000*I)*((-0.1863270000e-4+0.5295610000e-4*I)*P1+0.2767260000e-3*P1)*exp((-0.4177290000e-1-0.3632460000e-1*I)*x)+(-6253.05000+3190.24000*I)*((0.4917830000e-19+0.4447520000e-18*I)*P1-0.7235760000e-18*P1)*exp((0.4177290000e-1+0.3632460000e-1*I)*x)+(-6253.05000-3190.24000*I)*((-0.1863270000e-4-0.5295610000e-4*I)*P1+0.2767260000e-3*P1)*exp((-0.4177290000e-1+0.3632460000e-1*I)*x)+(0.5944580000e-2749+0.1037690000e-2748*I)*((-0.3431750000e2734+0.1996780000e2733*I)*P1+0.5085140000e2735*P1)*exp((0.4177290000e-1-0.3632460000e-1*I)*x)+(-.4530570000-0.9345270000e-203*I)*P1+44354.80000*(-0.1786260000e-5*P1+(-0.1032000000e-5-0.2128710000e-208*I)*P1)*exp(-.3241750000*x)+44354.80000*(-0.4187610000e-118*P1+(-0.2419350000e-118-0.4990430000e-321*I)*P1)*exp(.3241750000*x)+(-153846.0000-0.3369490000e-197*I)*((-0.1281530000e-6-0.3642240000e-6*I)*P1+0.1903280000e-5*P1)*exp((-0.4177290000e-1+0.3632460000e-1*I)*x)+(0.1207210000e-219+0.7888590000e-220*I)*((-0.4289690000e204+0.2495970000e203*I)*P1+0.6356420000e205*P1)*exp((0.4177290000e-1-0.3632460000e-1*I)*x)+(-153846.0000+0.3369490000e-197*I)*((0.3382410000e-21+0.3058930000e-20*I)*P1-0.4976640000e-20*P1)*exp((0.4177290000e-1+0.3632460000e-1*I)*x)+(-153846.0000+0.3369490000e-197*I)*((-0.1281530000e-6+0.3642240000e-6*I)*P1+0.1903280000e-5*P1)*exp((-0.4177290000e-1-0.3632460000e-1*I)*x))^2.00000+(-153846.0000*(-0.6460140000e-6*P1+(-0.3732290000e-6-0.7698630000e-209*I)*P1)*exp(-.3241750000*x)-153846.0000*(-0.1514480000e-118*P1+(-0.8749760000e-119-0.1804820000e-321*I)*P1)*exp(.3241750000*x)-.3452350000*P1-122592.0000*(-0.1786260000e-5*P1+(-0.1032000000e-5-0.2128710000e-208*I)*P1)*exp(-.3241750000*x)-122592.0000*(-0.4187610000e-118*P1+(-0.2419350000e-118-0.4990430000e-321*I)*P1)*exp(.3241750000*x)+(-1418.53000+4162.04000*I)*((0.4917830000e-19+0.4447520000e-18*I)*P1-0.7235760000e-18*P1)*exp((0.4177290000e-1+0.3632460000e-1*I)*x)+(-1418.53000+4162.04000*I)*((-0.1863270000e-4+0.5295610000e-4*I)*P1+0.2767260000e-3*P1)*exp((-0.4177290000e-1-0.3632460000e-1*I)*x)+(-153846.0000-0.3369490000e-197*I)*((-0.1281530000e-6-0.3642240000e-6*I)*P1+0.1903280000e-5*P1)*exp((-0.4177290000e-1+0.3632460000e-1*I)*x)+(-1418.53000-4162.04000*I)*((-0.1863270000e-4-0.5295610000e-4*I)*P1+0.2767260000e-3*P1)*exp((-0.4177290000e-1+0.3632460000e-1*I)*x)+(-153846.0000+0.3369490000e-197*I)*((-0.1281530000e-6+0.3642240000e-6*I)*P1+0.1903280000e-5*P1)*exp((-0.4177290000e-1-0.3632460000e-1*I)*x)+(-153846.0000+0.3369490000e-197*I)*((0.3382410000e-21+0.3058930000e-20*I)*P1-0.4976640000e-20*P1)*exp((0.4177290000e-1+0.3632460000e-1*I)*x)+(0.1207210000e-219+0.7888590000e-220*I)*((-0.4289690000e204+0.2495970000e203*I)*P1+0.6356420000e205*P1)*exp((0.4177290000e-1-0.3632460000e-1*I)*x)+(-.4530570000-0.9345270000e-203*I)*P1+(-0.1855630000e-2749+0.7257480000e-2749*I)*((-0.3431750000e2734+0.1996780000e2733*I)*P1+0.5085140000e2735*P1)*exp((0.4177290000e-1-0.3632460000e-1*I)*x))^2.00000+6.00000*(-225126.0000*(-0.1786260000e-5*P1+(-0.1032000000e-5-0.2128710000e-208*I)*P1)*exp(-.3241750000*x)+225126.0000*(-0.4187610000e-118*P1+(-0.2419350000e-118-0.4990430000e-321*I)*P1)*exp(.3241750000*x)+(1791.00000-522.31000*I)*((-0.1863270000e-4+0.5295610000e-4*I)*P1+0.2767260000e-3*P1)*exp((-0.4177290000e-1-0.3632460000e-1*I)*x)+(-1791.00000+522.31000*I)*((0.4917830000e-19+0.4447520000e-18*I)*P1-0.7235760000e-18*P1)*exp((0.4177290000e-1+0.3632460000e-1*I)*x)+(1791.00000+522.31000*I)*((-0.1863270000e-4-0.5295610000e-4*I)*P1+0.2767260000e-3*P1)*exp((-0.4177290000e-1+0.3632460000e-1*I)*x)+(0.2067430000e-2749+0.2413910000e-2749*I)*((-0.3431750000e2734+0.1996780000e2733*I)*P1+0.5085140000e2735*P1)*exp((0.4177290000e-1-0.3632460000e-1*I)*x))^2.00000)^(1/2)-250.

 (1)
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NULL
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with(plots, implicitplot, complexplot)

[implicitplot, complexplot]

 (2)

 

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implicitplot(FF, x = 0 .. 200, P1 = 0 .. 800)

 
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NULL
 

NULL

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