![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAApYAAAN7CAIAAABwPU21AAAACXBIWXMAABYlAAAWJQFJUiTwAAALeUlEQVR42u3YsQ3DMAxE0VyQUvtvqvpSeAUrAOP3BnBBkPiJ0vYFj5fELWC7mOVjBHDI3nutddfX/rsBSW78ml7ylF+Hdh38T8J2MdHbCABAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcAJBwAAAB+LG1NARK3gO1iGA/pACDhAICEAwASDgASDgBIOAAg4QAg4QCAhAMAEg4ASDgASDgAIOEAgIQDgIQDABIOAEg4AEg4ACDhAICEAwASDgASDgBIOAAg4QAg4QCAhAMAEg4AEg4ASDgAIOEAgIQDgIQDABIOAEg4AEg4ACDhAICEA4CEAwASDgBIOAAg4QAg4QCAhAMAEg4AEg4ASDgAIOEAIOEAgIQDABIOAEg4AEg4ACDhAICEA4CEAwASDgBIOABIOAAg4QCAhAMAEg4AEg4ASDgAIOEAIOEAgIQDABIOAEg4AEg4ACDhAICEA4CEAwASDgBIOABIOAAg4QCAhAMAEg4AEg4ASDgAIOEAIOEAgIQDABIOABIOAEg4ACDhAICEA4CEAwASDgBIOABIOAAg4QCAhAOAhAMAEg4ASDgAIOEAIOEAgIQDABIOABIOAEg4ACDhACDhAICEAwASDgBIOABIOAAg4QCAhAOAhAMAEg4ASDgASDgAIOEAgIQDABIOABIOAEg4ACDhACDhAICEAwASDgASDgBIOAAg4QCAhAOAhAMAEg4ASDgASDgAIOEAgIQDABIOABIOAEg4ACDhACDhAICEAwASDgASDgAAAByQtqYAiVvAdjGMh3QAkHAAQMIBAAkHAAkHACQcAJBwAJBwAEDCAQAJBwAkHAAkHACQcABAwgFAwgEACQcAJBwAJBwAkHAAQMIBAAkHAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcABAwgFAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcACQcAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcACQcAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcACQcAJBwAkHAAQMIBQMIBAAkHACQcACQcAJBwAEDCAUDCAQAJBwAkHACQcACQcABAwgEACQcACQcAJBwAkHAAkHAAQMIBAAkHACQcACQcAJBwAEDCAUDCAQAJBwAkHAAkHACQcABAwgEACQcACQcAJBwAkHAAkHAAQMIBAAkHAAkHACQcAJBwAEDCAUDCAQAJBwAkHAAkHACQcABAwgEACQcACQcAJBwAkHAAkHAAQMIBAAkHAAkHACQcAAAAuKStKUDiFrBdDOMhHQAkHACQcABAwgFAwgEACQcAJBwAJBwAkHAAQMIBAAkHAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcABAwgFAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcACQcAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcACQcAJBwAkHAAQMIBQMIBAAkHACQcACQcAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcACQcAJBwAkHAAQMIBQMIBAAkHACQcACQcAJBwAEDCAUDCAQAJBwAkHACQcACQcABAwgEACQcACQcAJBwAkHAAkHAAQMIBAAkHACQcACQcAJBwAEDCAUDCAQAJBwAkHAAkHACQcABAwgEACQcACQcAJBwAkHAAkHAAQMIBAAkHAAkHACQcAJBwAEDCAUDCAQAJBwAkHAAkHACQcABAwgFAwgEACQcAJBwAkHAAkHAAQMIBAAkHAAkHACQcAJBwAEDCAUDCAQAJBwAkHAAkHACQcABAwgFAwgEAAIAD0tYUIHEL2C6G8ZAOABIOAEg4ACDhACDhAICEAwASDgASDgBIOAAg4QCAhAOAhAMAEg4ASDgASDgAIOEAgIQDgIQDABIOAEg4ACDhACDhAICEAwASDgASDgBIOAAg4QAg4QCAhAMAEg4ASDgASDgAIOEAgIQDgIQDABIOAEg4AEg4ACDhAICEAwASDgASDgBIOAAg4QAg4QCAhAMAEg4AEg4ASDgAIOEAgIQDgIQDABIOAEg4AEg4ACDhAICEA4CEAwASDgBIOAAg4QAg4QCAhAMAEg4AEg4ASDgAIOEAgIQDgIQDABIOAEg4AEg4ACDhAICEA4CEAwASDgBIOAAg4QAg4QCAhAMAEg4AEg4ASDgAIOEAIOEAgIQDABIOAEg4AEg4ACDhAICEA4CEAwASDgBIOABIOAAg4QCAhAMAEg4AEg4ASDgAIOEAIOEAgIQDABIOABIOAEg4ACDhAICEA4CEAwASDgBIOABIOAAg4QCAhAOAhAMAEg4ASDgAIOEAIOEAgIQDABIOABIOAEg4ACDhACDhAICEAwASDgBIOABIOAAg4QCAhAOAhAMAEg4ASDgAIOEAIOEAgIQDABIOABIOAEg4ACDhACDhAAAAwAFpawqQuAVsF8N4SAcACQcAJBwAkHAAkHAAQMIBAAkHAAkHACQcAJBwAEDCAUDCAQAJBwAkHAAkHACQcABAwgFAwgEACQcAJBwAkHAAkHAAQMIBAAkHAAkHACQcAJBwAJBwAEDCAQAJBwAkHAAkHACQcABAwgFAwgEACQcAJBwAJBwAkHAAQMIBAAkHAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcABAwgFAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcABAwgFAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcACQcAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcACQcAJBwAkHAAQMIBQMIBAAkHACQcACQcAJBwAEDCAUDCAQAJBwAkHACQcACQcABAwgEACQcACQcAJBwAkHAAkHAAQMIBAAkHACQcACQcAJBwAEDCAUDCAQAJBwAkHACQcACQcABAwgEACQcACQcAJBwAkHAAkHAAQMIBAACAS9qaAiRuAdvFMB7SAUDCAQAJBwAkHAAkHACQcABAwgFAwgEACQcAJBwAkHAAkHAAQMIBAAkHAAkHACQcAJBwAJBwAEDCAQAJBwAkHAAkHACQcABAwgFAwgEACQcAJBwAJBwAkHAAQMIBAAkHAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcABAwgFAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcAJBwAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcAJBwAJBwAkHAAQMIBQMIBAAkHACQcACQcAJBwAEDCAQAJBwAJBwAkHACQcACQcABAwgEACQcACQcAJBwAkHAAQMIBQMIBAAkHACQcACQcAJBwAEDCAUDCAQAJBwAkHACQcACQcABAwgEACQcACQcAJBwAkHAAkHAAQMIBAAkHACQcACQcAJBwAEDCAUDCAQAJBwAkHAAkHACQcABAwgEACQcACQcAJBwAkHAAkHAAQMIBAAkHACQcACQcAJBwAEDCAUDCAQAJBwAkHAAkHAAAADjgC13AV8syETwrAAAAAElFTkSuQmCC)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.772920 + 0.510351I
a = 0.917974 + 0.753965I
b = −0.140343 + 0.966856I
c = −0.719765 − 0.954592I
d = 0.673261 + 0.061997I
−1.78344 − 2.09337I −0.51499 + 4.16283I
u = −0.772920 + 0.510351I
a = 0.917974 + 0.753965I
b = −0.140343 + 0.966856I
c = −0.508051 + 0.453456I
d = −0.889180 − 0.483066I
−1.78344 − 2.09337I −0.51499 + 4.16283I
u = −0.772920 + 0.510351I
a = 0.917974 + 0.753965I
b = −0.140343 + 0.966856I
c = 1.227820 + 0.501136I
d = 2.01788 + 1.61089I
−1.78344 − 2.09337I −0.51499 + 4.16283I
u = −0.772920 − 0.510351I
a = 0.917974 − 0.753965I
b = −0.140343 − 0.966856I
c = −0.719765 + 0.954592I
d = 0.673261 − 0.061997I
−1.78344 + 2.09337I −0.51499 − 4.16283I
u = −0.772920 − 0.510351I
a = 0.917974 − 0.753965I
b = −0.140343 − 0.966856I
c = −0.508051 − 0.453456I
d = −0.889180 + 0.483066I
−1.78344 + 2.09337I −0.51499 − 4.16283I
u = −0.772920 − 0.510351I
a = 0.917974 − 0.753965I
b = −0.140343 − 0.966856I
c = 1.227820 − 0.501136I
d = 2.01788 − 1.61089I
−1.78344 + 2.09337I −0.51499 − 4.16283I
20