![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtIAAAGPCAIAAAD+8KBJAAAACXBIWXMAABYlAAAWJQFJUiTwAAAGfUlEQVR42u3ZQWpcQRBEQZfxcu5/0tQ6dYVuWhRYRBxgFkkXeuJP2z/Ag5lxR3iZcOKfCeC/8/X19fl8furXfvdfppn5wV/zVxxeT9IVgf8p8TJhx18TAACyAwCQHQAAsgMAkB0AgOwAAJAdAIDsAACQHQCA7AAAZAcAgOwAAGQHAIDsAABkBwAgOwAAZAcAIDsAAGQHACA7AADZAQCwIIkRAIAF09YK8HRF447wMuGIjywAgOwAAGQHAIDsAABkBwAgO0wAAMgOAEB2AADIDgBAdgAAsgMAQHYAALIDAEB2AACyAwCQHQAAsgMAkB0AALIDAJAdAIDsAACQHQCA7AAAuJXECADAgmlrBXi6onFHeJlwxEcWAEB2AACyAwBAdgAAsgMAkB0mAABkBwAgOwAAZAcAIDsAANkBACA7AADZAQAgOwAA2QEAyA4AANkBAMgOAADZAQDIDgBAdgAAyA4AQHYAANxKYgQAYMG0tQI8XdG4I7xMOOIjCwAgOwAA2QEAIDsAANkBAMgOEwAAsgMAkB0AALIDAJAdAIDsAACQHQCA7AAAkB0AgOwAAGQHAIDsAABkBwCA7AAAZAcAIDsAAGQHACA7AABuJTECALBg2loBnq5o3BFeJhzxkQUAkB0AgOwAAJAdAIDsAABkhwkAANkBAMgOAADZAQDIDgBAdgAAyA4AQHYAAMgOAEB2AACyAwBAdgAAsgMAQHYAALIDAJAdAACyAwCQHQAAt5IYAQBYMG2tAE9XNO4ILxOO+MgCAMgOAEB2AADIDgBAdgAAssMEAIDsAABkBwCA7AAAZAcAIDsAAGQHACA7AABkBwAgOwAA2QEAIDsAANkBACA7AADZAQDIDgAA2QEAyA4AgFtJjAAALJi2VoCnKxp3hJcJR3xkAQBkBwAgOwAAZAcAIDsAANlhAgBAdgAAsgMAQHYAALIDAJAdAACyAwCQHQAAsgMAkB0AgOwAAJAdAIDsAACQHQCA7AAAZAcAgOwAAGQHAMCtJEYAABZMWyvA0xWNO8LLhCM+sgAAsgMAkB0AALIDAJAdAIDsMAEAIDsAANkBACA7AADZAQDIDgAA2QEAyA4AANkBAMgOAEB2AADIDgBAdgAAyA4AQHYAALIDAEB2AACyAwDgVhIjAAALpq0V4OmKxh3hZcIRH1kAANkBAMgOAADZAQDIDgBAdpgAAJAdAIDsAACQHQCA7AAAZAcAgOwAAGQHAIDsAABkBwAgOwAAZAcAIDsAAGQHACA7AADZAQAgOwCAXySJEQCABdPWCvB0ReOO8DLhiI8sAIDsAABkBwCA7AAAZAcAIDtMAADIDgBAdgAAyA4AQHYAALIDAEB2AACyAwBAdgAAsgMAkB0AALIDAJAdAACyAwCQHQCA7AAAkB0AgOwAALiVxAgAwIJpawV4uqJxR3iZcMRHFgBAdgAAsgMAQHYAALIDAJAdJgAAZAcAIDsAAGQHACA7AADZAQAgOwAA2QEAIDsAANkBAMgOAADZAQDIDgAA2QEAyA4AQHYAAMgOAEB2AADcSmIEAGDBtLUCPF3RuCO8TDjiIwsAIDsAANkBACA7AADZAQDIDhMAALIDAJAdAACyAwCQHQCA7AAAkB0AgOwAAJAdAIDsAABkBwCA7AAAZAcAgOwAAGQHACA7AABkBwAgOwAAbiUxAgCwYNpaAZ6uaNwRXiYc8ZEFAJAdAIDsAACQHQCA7AAAZIcJAADZAQDIDgAA2QEAyA4AQHYAAMgOAEB2AADIDgBAdgAAsgMAQHYAALIDAEB2AACyAwCQHQAAsgMAkB0AALeSGAEAWDBtrQBPVzTuCC8TjvjIAgDIDgBAdgAAyA4AQHYAALLDBACA7AAAZAcAgOwAAGQHACA7AABkBwAgOwAAZAcAIDsAANkBACA7AADZAQAgOwAA2QEAyA4AANkBAMgOAIBbSYwAACyYtlaApysad4SXCUd8ZAEAZAcAIDsAAGQHACA7AADZYQIAQHYAALIDAEB2AACyAwCQHQAAsgMAkB0AALIDAJAdAIDsAACQHQCA7AAAkB0AgOwAAGQHAIDsAABkBwDArSRGAAAWTFsrwNMVjTvCy4QjPrIAALIDAJAdAACyAwCQHQCA7DABACA7AADZAQAgOwAA2QEAyA4AANkBAMgOAADZAQDIDgBAdgAAyA4AQHYAAMgOAEB2AACyAwBAdgAAsgMA4FYSIwAAC74BYhfSfQkhn18AAAAASUVORK5CYII=)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.938536 + 0.379610I
−1.44795 − 1.44538I 0.924314 + 0.710077I
u = 0.938536 − 0.379610I
−1.44795 + 1.44538I 0.924314 − 0.710077I
u = −0.496009 + 0.834142I
17.7129 − 1.8405I 12.03822 + 0.10978I
u = −0.496009 − 0.834142I
17.7129 + 1.8405I 12.03822 − 0.10978I
u = −1.004360 + 0.506467I
−0.48193 + 4.24481I 5.44692 − 7.82705I
u = −1.004360 − 0.506467I
−0.48193 − 4.24481I 5.44692 + 7.82705I
u = 0.483842 + 0.722916I
6.64012 + 1.24233I 12.05713 − 0.59928I
u = 0.483842 − 0.722916I
6.64012 − 1.24233I 12.05713 + 0.59928I
u = 1.16849
11.7390 6.35620
u = 1.053770 + 0.600336I
4.96865 − 6.29824I 9.18075 + 5.76248I
u = 1.053770 − 0.600336I
4.96865 + 6.29824I 9.18075 − 5.76248I
u = −1.090290 + 0.650224I
15.9255 + 7.3739I 9.68126 − 4.56542I
u = −1.090290 − 0.650224I
15.9255 − 7.3739I 9.68126 + 4.56542I
u = −0.469738 + 0.412319I
0.983732 − 0.215278I 10.49328 + 1.71815I
u = −0.469738 − 0.412319I
0.983732 + 0.215278I 10.49328 − 1.71815I
5