![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtIAAAI9CAIAAACYGgiqAAAACXBIWXMAABYlAAAWJQFJUiTwAAAJNUlEQVR42u3ZQWpcQRBEQZfxUvc/aWqdukI3LQo8RBxgFkkXeuJP2z/Ag5lxR3iZcOKfCeC/8/39/fX19Vu/9tl/mWbmF3/NX3F4PUlXBP6nxMuEHX9NAADIDgBAdgAAyA4AQHYAALIDAEB2AACyAwBAdgAAsgMAkB0AALIDAJAdAACyAwCQHQCA7AAAkB0AgOwAAJAdAIDsAABkBwDAgiRGAAAWTFsrwNMVjTvCy4QjPrIAALIDAJAdAACyAwCQHQCA7DABACA7AADZAQAgOwAA2QEAyA4AANkBAMgOAADZAQDIDgBAdgAAyA4AQHYAAMgOAEB2AACyAwBAdgAAsgMA4FYSIwAAC6atFeDpisYd4WXCER9ZAADZAQDIDgAA2QEAyA4AQHaYAACQHQCA7AAAkB0AgOwAAGQHAIDsAABkBwCA7AAAZAcAIDsAAGQHACA7AABkBwAgOwAA2QEAIDsAANkBAHAriREAgAXT1grwdEXjjvAy4YiPLACA7AAAZAcAgOwAAGQHACA7TAAAyA4AQHYAAMgOAEB2AACyAwBAdgAAsgMAQHYAALIDAJAdAACyAwCQHQAAsgMAkB0AgOwAAJAdAIDsAAC4lcQIAMCCaWsFeLqicUd4mXDERxYAQHYAALIDAEB2AACyAwCQHSYAAGQHACA7AABkBwAgOwAA2QEAIDsAANkBACA7AADZAQDIDgAA2QEAyA4AANkBAMgOAEB2AADIDgBAdgAA3EpiBABgwbS1Ajxd0bgjvEw44iMLACA7AADZAQAgOwAA2QEAyA4TAACyAwCQHQAAsgMAkB0AgOwAAJAdAIDsAACQHQCA7AAAZAcAgOwAAGQHAIDsAABkBwAgOwAAZAcAIDsAAG4lMQIAsGDaWgGermjcEV4mHPGRBQCQHQCA7AAAkB0AgOwAAGSHCQAA2QEAyA4AANkBAMgOAEB2AADIDgBAdgAAyA4AQHYAALIDAEB2AACyAwBAdgAAsgMAkB0AALIDAJAdAAC3khgBAFgwba0AT1c07ggvE474yAIAyA4AQHYAAMgOAEB2AACywwQAgOwAAGQHAIDsAABkBwAgOwAAZAcAIDsAAGQHACA7AADZAQAgOwAA2QEAIDsAANkBAMgOAADZAQDIDgCAW0mMAAAsmLZWgKcrGneElwlHfGQBAGQHACA7AABkBwAgOwAA2WECAEB2AACyAwBAdgAAsgMAkB0AALIDAJAdAACyAwCQHQCA7AAAkB0AgOwAAJAdAIDsAABkBwCA7AAAPkgSIwAAC6atFeDpisYd4WXCER9ZAADZAQDIDgAA2QEAyA4AQHaYAACQHQCA7AAAkB0AgOwAAGQHAIDsAABkBwCA7AAAZAcAIDsAAGQHACA7AABkBwAgOwAA2QEAIDsAANkBAHAriREAgAXT1grwdEXjjvAy4YiPLACA7AAAZAcAgOwAAGQHACA7TAAAyA4AQHYAAMgOAEB2AACyAwBAdgAAsgMAQHYAALIDAJAdAACyAwCQHQAAsgMAkB0AgOwAAJAdAIDsAAC4lcQIAMCCaWsFeLqicUd4mXDERxYAQHYAALIDAEB2AACyAwCQHSYAAGQHACA7AABkBwAgOwAA2QEAIDsAANkBACA7AADZAQDIDgAA2QEAyA4AANkBAMgOAEB2AADIDgBAdgAA3EpiBABgwbS1Ajxd0bgjvEw44iMLACA7AADZAQAgOwAA2QEAyA4TAACyAwCQHQAAsgMAkB0AgOwAAJAdAIDsAACQHQCA7AAAZAcAgOwAAGQHAIDsAABkBwAgOwAAZAcAIDsAAG4lMQIAsGDaWgGermjcEV4mHPGRBQCQHQCA7AAAkB0AgOwAAGSHCQAA2QEAyA4AANkBAMgOAEB2AADIDgBAdgAAyA4AQHYAALIDAEB2AACyAwBAdgAAsgMAkB0AALIDAJAdAAC3khgBAFgwba0AT1c07ggvE474yAIAyA4AQHYAAMgOAEB2AACywwQAgOwAAGQHAIDsAABkBwAgOwAAZAcAIDsAAGQHACA7AADZAQAgOwAA2QEAIDsAANkBAMgOAADZAQDIDgCAW0mMAAAsmLZWgKcrGneElwlHfGQBAGQHACA7AABkBwAgOwAA2WECAEB2AACyAwBAdgAAsgMAkB0AALIDAJAdAACyAwCQHQCA7AAAkB0AgOwAAJAdAIDsAABkBwCA7AAAZAcAwK0kRgAAFkxbK8DTFY07wsuEIz6yAACyAwCQHQAAsgMAkB0AgOwwAQAgOwAA2QEAIDsAANkBAMgOAADZAQDIDgAA2QEAyA4AQHYAAMgOAEB2AADIDgBAdgAAsgMAQHYAALIDAOBWEiMAAAumrRXg6YrGHeFlwhEfWQAA2QEAyA4AANkBAMgOAEB2mAAAkB0AgOwAAJAdAIDsAABkBwCA7AAAZAcAgOwAAGQHACA7AABkBwAgOwAAZAcAIDsAANkBACA7AADZAQBwK4kRAIAF09YK8HRF447wMuGIjywAgOwAAGQHAIDsAABkBwAgO0wAAMgOAEB2AADIDgBAdgAAsgMAQHYAALIDAEB2AACyAwCQHQAAsgMAkB0AALIDAJAdAIDsAACQHQCA7AAAuJXECADAgmlrBXi6onFHeJlwxEcWAEB2AACyAwBAdgAAsgMAkB0mAABkBwAgOwAAZAcAIDsAANkBACA7AADZAQAgOwAA2QEAyA4AANkBAMgOAADZAQDIDgBAdgAAyA4A4IMkMQIAsGDaWgGermjcEV4mHPGRBQCQHQCA7AAAkB0AgOwAAGSHCQAA2QEAyA4AANkBAMgOAEB2AADIDgBAdgAAyA4AQHYAALIDAEB2AACyAwBAdgAAsgMAkB0AALIDAJAdAAC3khgBAFgwba0AT1c07ggvE474yAIAyA4AQHYAAMgOAEB2AACywwQAgOwAAGQHAIDsAABkBwAgOwAAZAcAIDsAAGQHACA7AADZAQAgOwAA2QEAIDsAANkBAMgOAADZAQDIDgCAW0mMAAAsmLZWgKcrGneElwlHfGQBAGQHACA7AABkBwAgOwAA2WECAEB2AACyAwBAdgAAsgMAkB0AALIDAJAdAACyAwCQHQCA7AAAkB0AgOwAAJAdAIDsAABkBwCA7AAAZAcAwK0kRgAAFvwAqgQmwnkDJ+sAAAAASUVORK5CYII=)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.771950 + 0.627160I
−9.01082 − 2.42790I 0.88720 + 3.18483I
u = 0.771950 − 0.627160I
−9.01082 + 2.42790I 0.88720 − 3.18483I
u = −1.013800 + 0.421442I
−1.60921 + 1.77285I 0.315441 + 0.247623I
u = −1.013800 − 0.421442I
−1.60921 − 1.77285I 0.315441 − 0.247623I
u = 1.113890 + 0.304376I
−6.14010 − 0.06031I −5.06623 − 0.22454I
u = 1.113890 − 0.304376I
−6.14010 + 0.06031I −5.06623 + 0.22454I
u = 0.254770 + 0.794582I
−11.59400 + 4.17420I −0.08704 − 2.12766I
u = 0.254770 − 0.794582I
−11.59400 − 4.17420I −0.08704 + 2.12766I
u = −0.660123 + 0.489854I
−0.62516 + 1.83614I 2.06876 − 5.29489I
u = −0.660123 − 0.489854I
−0.62516 − 1.83614I 2.06876 + 5.29489I
u = 1.069940 + 0.505718I
−0.85422 − 4.78547I 3.13676 + 6.89182I
u = 1.069940 − 0.505718I
−0.85422 + 4.78547I 3.13676 − 6.89182I
u = −1.185860 + 0.285971I
−16.0637 − 0.8225I −5.38923 − 0.37902I
u = −1.185860 − 0.285971I
−16.0637 + 0.8225I −5.38923 + 0.37902I
u = −1.124840 + 0.532465I
−4.60646 + 7.61506I −2.18846 − 7.28240I
u = −1.124840 − 0.532465I
−4.60646 − 7.61506I −2.18846 + 7.28240I
u = −0.271243 + 0.702058I
−2.15136 − 2.90283I 0.96971 + 3.73642I
u = −0.271243 − 0.702058I
−2.15136 + 2.90283I 0.96971 − 3.73642I
u = 1.158640 + 0.550804I
−14.2580 − 9.1806I −3.12638 + 5.65206I
u = 1.158640 − 0.550804I
−14.2580 + 9.1806I −3.12638 − 5.65206I
u = 0.386678 + 0.542882I
1.115750 + 0.498475I 8.47948 − 1.93150I
u = 0.386678 − 0.542882I
1.115750 − 0.498475I 8.47948 + 1.93150I
5