![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAugAAAESCAIAAAAg2bclAAAACXBIWXMAABYlAAAWJQFJUiTwAAAEZUlEQVR42u3ZQWoDUQxEwXTw7Hz/m85uoHOALBVEvqk6gBdCwm/4afsFDCRxR9g92PEyAvj/nue5ruuvfu2z/+ru+36/32YFH9vrzhJ89WL34BTfRgAACBcAAOECAAgXAADhAgAgXAAA4QIAIFwAAIQLACBcAACECwCAcAEAhAsAgHABABAuAIBwAQAQLgAAwgUAEC4AAMIFAEC4AAAAAKxJW1OA0RXFHWH3YImnIgBAuAAACBcAQLgAAAgXAADhAgAIFwAA4QIAIFwAAOECACBcAACECwAgXAAAhAsAgHABAIQLAIBwAQAQLgCAcAEAEC4AAMIFABAuAADCBQAAAOBcaWsKMLqiuCPsHizxVAQACBcAAOECAAgXAADhAgAgXAAA4QIAIFwAAIQLACBcAACECwCAcAEAhAsAgHABABAuAIBwAQAQLgAAwgUAEC4AAMIFAEC4AADCBQBAuAAAAACcK21NAUZXFHeE3YMlnooAAOECACBcAADhAgAgXAAAhAsAIFwAAIQLAIBwAQCECwCAcAEAEC4AgHABABAuAADCBQAQLgAAwgUAQLgAAMIFAEC4AAAIFwBAuAAACBcAAACAc6WtKcDoiuKOsHuwxFMRACBcAACECwAgXAAAhAsAgHABAIQLAIBwAQAQLgCAcAEAEC4AAMIFABAuAADCBQBAuAAAwgUAQLgAAAgXAEC4AAAIFwAA4QIACBcAAOECAAAAcK60NQUYXVHcEXYPlngqAgCECwCAcAEAhAsAgHABABAuAIBwAQAQLgAAwgUAEC4AAMIFAEC4AADCBQBAuAAACBcAQLgAAAgXAADhAgAIFwAA4QIAIFwAAOECACBcAAAAAM6VtqYAoyuKO8LuwRJPRQCAcAEAEC4AgHABABAuAADCBQAQLgAAwgUAQLgAAMIFAEC4AAAIFwBAuAAACBcAAOECAAgXAADhAgAgXAAA4QIAIFwAAIQLACBcAACECwAAAMC50tYUYHRFcUfYPVjiqQgAEC4AAMIFABAuAADCBQBAuAAAwgUAQLgAAAgXAEC4AAAIFwAA4QIACBcAAOECACBcAADhAgAgXAAAhAsAIFwAAIQLAIBwAQCECwCAcAEAAAA4V9qaAoyuKO4IuwdLPBUBAMIFAEC4AADCBQBAuAAACBcAQLgAAAgXAADhAgAIFwAA4QIAIFwAAOECACBcAACECwAgXAAAhAsAgHABAIQLAIBwAQAQLgCAcAEAAADgl7Q1BRhdUdwRdg+WeCoCAIQLAIBwAQCECwCAcAEAEC4AgHABABAuAADCBQAQLgAAwgUAQLgAAMIFAEC4AAAIFwBAuAAACBcAAOECAAgXAADhAgAgXAAA4QIAIFwAAAAAzpW2pgCjK4o7wu7BEk9FAIBwAQAQLgCAcAEAEC4AAMIFABAuAADCBQBAuAAAwgUAQLgAAAgXAEC4AAAIFwAA4QIACBcAAOECACBcAADhAgAgXAAAhAsAIFwAAIQLAAAAwLl+ABf9eeFvKNwEAAAAAElFTkSuQmCC)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
โ
โ1(vol +
โ
โ1CS) Cusp shape
u = 0.839548 + 0.070481I
โ2.58269 โ 4.40083I โ10.74431 + 3.49859I
u = 0.839548 โ 0.070481I
โ2.58269 + 4.40083I โ10.74431 โ 3.49859I
u = 0.090539 + 1.215350I
2.96077 โ 1.53058I โ6.51511 + 4.43065I
u = 0.090539 โ 1.215350I
2.96077 + 1.53058I โ6.51511 โ 4.43065I
u = 0.383413 + 1.200420I
0.888787 โ7.48114 + 0.I
u = 0.383413 โ 1.200420I
0.888787 โ7.48114 + 0.I
u = โ0.383851 + 1.270630I
โ2.58269 + 4.40083I โ10.74431 โ 3.49859I
u = โ0.383851 โ 1.270630I
โ2.58269 โ 4.40083I โ10.74431 + 3.49859I
u = โ0.429649 + 0.392970I
2.96077 + 1.53058I โ6.51511 โ 4.43065I
u = โ0.429649 โ 0.392970I
2.96077 โ 1.53058I โ6.51511 + 4.43065I
9