Loading...

Constellations for Lyapunov exponents -- Visualizer

Explore saved constellations and their convergence

Event 0—

Open a saved constellation

Choose a constellation file or drop it here.
Use the arrow beside Open constellation to import a selected range.

Drop constellation or timeline to open
Ready
The dots are the constellation’s support points. Blue and orange show positive and negative coefficients.

Constellation state

No data
Pair directions n—
Support points #suppηn—
Nonzero atoms—
Total variation—
Certified error—
Observed error—

Convergence plot

of 0 pair directions

Constellation distribution星座の分布

The number of selected points at each depth and their proportion of all available points at that depth.各深さで選択された点の数と、全体の中での割合を示します。

Depth深さ Available points利用可能な点 n = 25 n = 100 n = 500 n = 1,000 n = 2,500 n = 5,000 n = 10,000
0 4 4100% 4100% 4100% 4100% 4100% 4100% 4100%
1 36 2158.33% 2877.78% 3597.22% 36100% 36100% 36100% 36100%
2 308 00% 6320.45% 15650.65% 18459.74% 23175.00% 24077.92% 25482.47%
3 2,708 00% 50.185% 2659.79% 50318.57% 83330.76% 1,09440.40% 1,38651.18%
4 24,036 00% 00% 400.166% 2571.07% 1,1154.64% 2,1839.08% 3,54914.77%
5 214,756 00% 00% 00% 160.00745% 2790.13% 1,2950.603% 3,7071.73%
6 1,925,140 00% 00% 00% 00% 20.000104% 1470.00764% 1,0360.0538%
7 17,289,844 00% 00% 00% 00% 00% 10.00000578% 280.000162%

Depth = word length − 1. Available points are the number of distinct points the constellation could choose from that depth. Percentage is the fraction of selected points among all available points at that depth. Percentages are rounded.深さは語の長さ − 1 です。「利用可能な点」は、その深さで星座が選択できる異なる点の総数です。割合は、その深さで利用可能なすべての点のうち、選択された点の割合です。百分率は丸めた値です。

Rigorous interval

Lower endpoint
Upper endpoint

Download MP4

The video uses your current display settings and playback speed, including smooth motion, refits, and pauses. The error graph keeps your reference and precision cutoff.

Choose an inclusive range of saved constellations.

4K · 3840 × 2160 · rendered locally. Keep this tab open while exporting.

Choose import range