Visualization

Plot of the weight 0 Maass form over SL_2(Z) with spectral parameter 29.5463881241... . The window plotted is 0.001 <= y <= 2.001, -3.556 <= x <= 3.556. This function happens to be real, and brighter regions correspond to a greater absolute value. This plot is made with the Viridis perceptually uniform colormap. I generated this image using the OpenCV library in C++. (higher res image) 

A plot of the Bianchi-Maass form for the bianchi group Gamma_{19} with spectral parameter ~6.0537. This is a plot along the plane in hyperbolic 3-space which is perpendicular to the complex plane and extends in the real direction. I generated this image using the OpenCV library in C++.

A plot of the Bianchi-Maass form for the Bianchi group Gamma_{19} with spectral parameter ~6.0537. This is a plot along the plane in hyperbolic 3-space which is perpendicular to the complex plane and extends in the imaginary direction. I generated this image using the OpenCV library in C++.

A grid of points and their reductions to a fundamental domain for the Bianchi group Gamma_{19}. This image was made in SageMath.