Pyramid 581
Preview $$U_{581}(x, y) = \frac{\sqrt{\frac{4 x}{\left(1 - 4 y\right)^{\frac{3}{2}}} + \frac{1}{1 - 4 y}}}{2} + \frac{1}{2 \sqrt{1 - 4 y}}$$
Pyramid 582
Preview $$U_{582}(x, y) = \frac{x}{\left(1 - 4 y\right)^{\frac{3}{2}}} + \frac{1}{\sqrt{1 - 4 y}}$$
Pyramid 583
Preview $$U_{583}(x, y) = - \frac{1}{\sqrt{1 - 4 y} \left(\frac{x}{\left(1 - 4 y\right)^{\frac{3}{2}}} - 1\right)}$$
Pyramid 584
Preview $$U_{584}(x, y) = \frac{\left(1 - 4 y\right)^{\frac{3}{2}} \left(1 - \sqrt{- \frac{4 x}{\left(1 - 4 y\right)^{2}} + 1}\right)}{2 x}$$
Pyramid 585
Preview $$U_{585}(x, y) = \frac{\sqrt{3} \left(2 - \frac{8 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)}}{3}\right) \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}}$$
Pyramid 586
Preview $$U_{586}(x, y) = \frac{\sqrt{\frac{32 \sqrt{3} x \sin^{3}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{9 y^{\frac{3}{2}}} + \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 y}}}{2} + \frac{\sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}}$$
Pyramid 587
Preview $$U_{587}(x, y) = \frac{8 \sqrt{3} x \sin^{3}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{9 y^{\frac{3}{2}}} + \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}}$$
Pyramid 588
Preview $$U_{588}(x, y) = - \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y} \left(\frac{8 \sqrt{3} x \sin^{3}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{9 y^{\frac{3}{2}}} - 1\right)}$$
Pyramid 589
Preview $$U_{589}(x, y) = \frac{3 \sqrt{3} y^{\frac{3}{2}} \left(1 - \sqrt{- \frac{64 x \sin^{4}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{9 y^{2}} + 1}\right)}{16 x \sin^{3}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}$$
Pyramid 590
Preview $$U_{590}(x, y) = \frac{\left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)}}{3}\right) \left(\sqrt{4 y + 1} + 1\right)}{2}$$
Pyramid 591
Preview $$U_{591}(x, y) = \frac{\sqrt{4 y + 1}}{4} + \frac{\sqrt{\frac{x \left(\sqrt{4 y + 1} + 1\right)^{3}}{2} + \frac{\left(\sqrt{4 y + 1} + 1\right)^{2}}{4}}}{2} + \frac{1}{4}$$
Pyramid 592
Preview $$U_{592}(x, y) = \frac{x \left(\sqrt{4 y + 1} + 1\right)^{3}}{8} + \frac{\sqrt{4 y + 1}}{2} + \frac{1}{2}$$
Pyramid 593
Preview $$U_{593}(x, y) = \frac{- \sqrt{4 y + 1} - 1}{\frac{x \left(\sqrt{4 y + 1} + 1\right)^{3}}{4} - 2}$$
Pyramid 594
Preview $$U_{594}(x, y) = \frac{4 - 4 \sqrt{- \frac{x \left(\sqrt{4 y + 1} + 1\right)^{4}}{4} + 1}}{x \left(\sqrt{4 y + 1} + 1\right)^{3}}$$
Pyramid 595
Preview $$U_{595}(x, y) = \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)}}{3}\right) \left(y^{2} + 1\right)$$
Pyramid 596
Preview $$U_{596}(x, y) = \frac{y^{2}}{2} + \frac{\sqrt{4 x \left(y^{2} + 1\right)^{3} + \left(y^{2} + 1\right)^{2}}}{2} + \frac{1}{2}$$
Pyramid 597
Preview $$U_{597}(x, y) = x \left(y^{2} + 1\right)^{3} + y^{2} + 1$$
Pyramid 598
Preview $$U_{598}(x, y) = \frac{- y^{2} - 1}{x \left(y^{2} + 1\right)^{3} - 1}$$
Pyramid 599
Preview $$U_{599}(x, y) = \frac{1 - \sqrt{- 4 x \left(y^{2} + 1\right)^{4} + 1}}{2 x \left(y^{2} + 1\right)^{3}}$$
Pyramid 600
help
Preview $$U_{600}(x, y) = \frac{\sqrt{3} \left(\sqrt{4 y + 1} + 1\right) \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 \sqrt{x}}$$
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