![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAx8AAAMECAIAAABR1w+qAAAACXBIWXMAABYlAAAWJQFJUiTwAAAM1ElEQVR42u3ZQYpcQQxEQct47n/ZXA6kd1Nro4LGRcQBeiGk3w9q2v4CFmbGHWH9gB9/jAD+lz/Ri7/28P/x9/f319eXQQGf/GL7dsC+e9wR1g/48dsIAADUFQCAugIAUFcAAKgrAAB1BQCgrgAAUFcAAOoKAEBdAQCoKwAA1BUAgLoCAFBXAACoKwAAdQUAoK4AAFBXAADqCgBAXQEAqCsAAP5VEkMAALhl2poCrK5o3BHWDzi8DAIAqCsAAHUFAKCuAABQVwAA6goAQF0BAKCuAADUFQCAugIAUFcAAKgrAAB1BQCgrgAAUFcAAOoKAEBdAQCgrgAA1BUAgLoCAFBXAACoKwAAdQUA8IwkhgAAcMu0NQVYXdG4I6wfcHgZBABQVwAA6goAQF0BAKCuAADUFQCAugIAQF0BAKgrAAB1BQCgrgAAUFcAAOoKAEBdAQCgrgAA1BUAgLoCAEBdAQCoKwAAdQUAoK4AAFBXAADqCgDgGUkMAQDglmlrCrC6onFHWD/g8DIIAKCuAADUFQCAugIAQF0BAKgrAAB1BQCAugIAUFcAAOoKAEBdAQCgrgAA1BUAgLoCAEBdAQCoKwAAdQUAgLoCAFBXAADqCgBAXQEAoK4AANQVAMAzkhgCAMAt09YUYHVF446wfsDhZRAAQF0BAKgrAAB1BQCAugIAUFcAAOoKAAB1BQCgrgAA1BUAgLoCAEBdAQCoKwAAdQUAgLoCAFBXAADqCgAAdQUAoK4AANQVAIC6AgBAXQEAqCsAgGckMQQAgFumrSnA6orGHWH9gMPLIACAugIAUFcAAOoKAAB1BQCgrgAA1BUAAOoKAEBdAQCoKwAAdQUAgLoCAFBXAADqCgAAdQUAoK4AANQVAADqCgBAXQEAqCsAAHUFAIC6AgBQVwAAz0hiCAAAt0xbU4DVFY07wvoBh5dBAAB1BQCgrgAA1BUAAOoKAEBdAQCoKwAA1BUAgLoCAFBXAADqCgAAdQUAoK4AANQVAADqCgBAXQEAqCsAANQVAIC6AgBQVwAA6goAAHUFAKCuAACekcQQAABumbamAKsrGneE9QMOL4MAAOoKAEBdAQCoKwAA1BUAgLoCAFBXAACoKwAAdQUAoK4AANQVAADqCgBAXQEAqCsAANQVAIC6AgBQVwAAqCsAAHUFAKCuAADUFQAA6goAQF0BADwjiSEAANwybU0BVlc07gjrBxxeBgEA1BUAgLoCAFBXAACoKwAAdQUAoK4AAFBXAADqCgBAXQEAqCsAANQVAIC6AgBQVwAAqCsAAHUFAKCuAABQVwAA6goAQF0BAKgrAADUFQDARyUxBACAW6atKcDqisYdYf2Aw8sgAIC6AgBQVwAA6goAAHUFAKCuAADUFQAA6goAQF0BAKgrAAB1BQCAugIAUFcAAOoKAAB1BQCgrgAA1BUAAOoKAEBdAQCoKwAAdQUAgLoCAFBXAADPSGIIAAC3TFtTgNUVjTvC+gGHl0EAAHUFAKCuAADUFQAA6goAQF0BAKgrAADUFQCAugIAUFcAAOoKAAB1BQCgrgAA1BUAAOoKAEBdAQCoKwAA1BUAgLoCAFBXAADqCgAAdQUAoK4AAJ6RxBAAAG6ZtqYAqysad4T1Aw4vgwAA6goAQF0BAKgrAADUFQCAugIAUFcAAKgrAAB1BQCgrgAA1BUAAOoKAEBdAQCoKwAA1BUAgLoCAFBXAACoKwAAdQUAoK4AANQVAADqCgBAXQEAPCOJIQAA3DJtTQFWVzTuCOsHHF4GAQDUFQCAugIAUFcAAKgrAAB1BQCgrgAAUFcAAOoKAEBdAQCoKwAA1BUAgLoCAFBXAACoKwAAdQUAoK4AAFBXAADqCgBAXQEAqCsAANQVAIC6AgB4RhJDAAC4ZdqaAqyuaNwR1g84vAwCAKgrAAB1BQCgrgAAUFcAAOoKAEBdAQCgrgAA1BUAgLoCAFBXAACoKwAAdQUAoK4AAFBXAADqCgBAXQEAoK4AANQVAIC6AgBQVwAAqCsAAHUFAPCMJIYAAHDLtDUFWF3RuCOsH3B4GQQAUFcAAOoKAEBdAQCgrgAA1BUAgLoCAEBdAQCoKwAAdQUAoK4AAFBXAADqCgBAXQEAoK4AANQVAIC6AgBAXQEAqCsAAHUFAKCuAABQVwAA6goA4BlJDAEA4JZpawqwuqJxR1g/4PAyCACgrgAA1BUAgLoCAEBdAQCoKwAAdQUAgLoCAFBXAADqCgBAXQEAoK4AANQVAIC6AgBAXQEAqCsAAHUFAIC6AgBQVwAA6goAQF0BAKCuAADUFQDAM5IYAgDALdPWFGB1ReOOsH7A4WUQAEBdAQCoKwAAdQUAgLoCAFBXAADqCgAAdQUAoK4AANQVAIC6AgBAXQEAqCsAAHUFAIC6AgBQVwAA6goAAHUFAKCuAADUFQCAugIAQF0BAKgrAIBnJDEEAIBbpq0pwOqKxh1h/YDDyyAAgLoCAFBXAADqCgAAdQUAoK4AANQVAADqCgBAXQEAqCsAAHUFAIC6AgBQVwAA6goAAHUFAKCuAADUFQAA6goAQF0BAKgrAAB1BQCAugIAUFcAAM9IYggAALdMW1OA1RWNO8L6AYeXQQAAdQUAoK4AANQVAADqCgBAXQEAqCsAANQVAIC6AgBQVwAA6goAAHUFAKCuAADUFQAA6goAQF0BAKgrAADUFQCAugIAUFcAAOoKAAB1BQCgrgAAnpHEEAAAbpm2pgCrKxp3hPUDDi+DAADqCgBAXQEAqCsAANQVAIC6AgBQVwAAqCsAAHUFAKCuAADUFQAA6goAQF0BAKgrAADUFQCAugIAUFcAAKgrAAB1BQCgrgAA1BUAAOoKAOCjkhgCAMAt09YUYHVF446wfsDhZRAAQF0BAKgrAAB1BQCAugIAUFcAAOoKAAB1BQCgrgAA1BUAgLoCAEBdAQCoKwAAdQUAgLoCAFBXAADqCgAAdQUAoK4AANQVAIC6AgBAXQEAqCsAgGckMQQAgFumrSnA6orGHWH9gMPLIACAugIAUFcAAOoKAAB1BQCgrgAA1BUAAOoKAEBdAQCoKwAAdQUAgLoCAFBXAADqCgAAdQUAoK4AANQVAADqCgBAXQEAqCsAAHUFAIC6AgBQVwAAz0hiCAAAt0xbU4DVFY07wvoBh5dBAAB1BQCgrgAA1BUAAOoKAEBdAQCoKwAA1BUAgLoCAFBXAADqCgAAdQUAoK4AANQVAADqCgBAXQEAqCsAANQVAIC6AgBQVwAA6goAAHUFAKCuAACekcQQAABumbamAKsrGneE9QMOL4MAAOoKAEBdAQCoKwAA1BUAgLoCAFBXAACoKwAAdQUAoK4AANQVAADqCgBAXQEAqCsAANQVAIC6AgBQVwAAqCsAAHUFAKCuAADUFQAA6goAQF0BADwjiSEAANwybU0BVlc07gjrBxxeBgEA1BUAgLoCAFBXAACoKwAAdQUAoK4AAFBXAADqCgBAXQEAqCsAANQVAIC6AgBQVwAAqCsAAHUFAKCuAABQVwAA6goAQF0BAKgrAADUFQCAugIAeEYSQwAAuGXamgKsrmjcEdYPOLwMAgCoKwAAdQUAoK4AAFBXAADqCgBAXQEAoK4AANQVAIC6AgBQVwAAqCsAAHUFAKCuAABQVwAA6goAQF0BAKCuAADUFQCAugIAUFcAAKgrAAB1BQDwjCSGAABwy7Q1BVhd0bgjrB9weBkEAFBXAADqCgBAXQEAoK4AANQVAIC6AgBAXQEAqCsAAHUFAKCuAABQVwAA6goAQF0BAKCuAADUFQCAugIAQF0BAKgrAAB1BQCgrgAAUFcAAOoKAOAZSQwBAOCWaWsKsLqicUdYP+DwMggAoK4AANQVAIC6AgBAXQEAqCsAAHUFAIC6AgBQVwAA6goAQF0BAKCuAADUFQCAugIAQF0BAKgrAAB1BQCAugIAUFcAAOoKAEBdAQCgrgAA1BUAwDOSGAIAwC3T1hRgdUXjjrB+wOFlEABAXQEAqCsAAHUFAIC6AgBQVwAA6goAAHUFAKCuAADUFQCAugIAQF0BAKgrAAB1BQCAugIAUFcAAOoKAAB1BQCgrgAA1BUAgLoCAEBdAQCoKwCAZyQxBACAW6atKcDqisYdYf2Aw8sgAIC6AgBQVwAA6goAAHUFAKCuAADUFQAA6goAQF0BAKgrAAB1BQCAugIAUFcAAOoKAAB1BQCgrgAA1BUAAOoKAEBdAQCoKwAAdQUAgLoCAFBXAADPSGIIAAC3TFtTgNUVjTvC+gGHl0EAAHUFAKCuAADUFQAA6goAQF0BAKgrAADUFQCAugIAUFcAAOoKAAB1BQCgrgAA1BUAAOoKAEBdAQCoKwAA1BUAgLoCAFBXAADqCgAAdQUA8FFJDAEA4Ja/8jqHAGlK140AAAAASUVORK5CYII=)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.989985 + 0.122617I
1.32863 − 4.99314I −5.10286 + 6.83275I
u = 0.989985 − 0.122617I
1.32863 + 4.99314I −5.10286 − 6.83275I
u = −0.809064 + 0.581444I
3.36810 − 0.06751I −1.94023 + 0.35609I
u = −0.809064 − 0.581444I
3.36810 + 0.06751I −1.94023 − 0.35609I
u = 0.975055
−0.841645 −8.82830
u = −0.962183 + 0.082730I
−3.35982 + 2.23077I −11.92321 − 6.16182I
u = −0.962183 − 0.082730I
−3.35982 − 2.23077I −11.92321 + 6.16182I
u = 0.734854 + 0.732067I
2.04758 + 1.64642I −2.09598 − 4.37427I
u = 0.734854 − 0.732067I
2.04758 − 1.64642I −2.09598 + 4.37427I
u = 1.007400 + 0.257971I
3.02841 − 0.92384I −4.00000 + 0.56914I
u = 1.007400 − 0.257971I
3.02841 + 0.92384I −4.00000 − 0.56914I
u = −0.714319 + 0.763961I
7.22652 − 4.54026I 2.91659 + 4.06961I
u = −0.714319 − 0.763961I
7.22652 + 4.54026I 2.91659 − 4.06961I
u = −1.021670 + 0.240610I
2.88991 + 5.19815I −4.00000 − 6.77683I
u = −1.021670 − 0.240610I
2.88991 − 5.19815I −4.00000 + 6.77683I
u = −1.015640 + 0.277475I
9.38200 − 2.18146I − 60.10 − 0.620626I
u = −1.015640 − 0.277475I
9.38200 + 2.18146I − 60.10 + 0.620626I
u = 1.037690 + 0.240795I
9.12317 − 8.49284I 0. + 6.46268I
u = 1.037690 − 0.240795I
9.12317 + 8.49284I 0. − 6.46268I
u = −0.794505 + 0.726721I
3.07799 + 1.41254I 2.04320 − 3.32582I
u = −0.794505 − 0.726721I
3.07799 − 1.41254I 2.04320 + 3.32582I
u = 0.884379 + 0.631379I
−0.51363 − 2.45305I −8.70061 + 2.47945I
u = 0.884379 − 0.631379I
−0.51363 + 2.45305I −8.70061 − 2.47945I
u = 0.740332 + 0.843987I
9.98619 + 4.42504I 0
u = 0.740332 − 0.843987I
9.98619 − 4.42504I 0
u = 0.814940 + 0.773369I
9.03131 − 2.95277I 0
u = 0.814940 − 0.773369I
9.03131 + 2.95277I 0
u = −0.736127 + 0.850348I
16.3081 − 7.8313I 0
u = −0.736127 − 0.850348I
16.3081 + 7.8313I 0
u = −0.749447 + 0.842317I
10.15460 + 0.03373I 0
5