![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqIAAANmCAIAAACubX6yAAAACXBIWXMAABYlAAAWJQFJUiTwAAALaklEQVR42u3YwQ0CQRADQYx4Xv6Z3tskgUBrqgLgMZq5Fpu2D/h7SdwC1o89LyOAb37NP/hrw2G47/u6LoOCD3x2HAD4O4X1Y9XTCABA5gEAmQcAZB4AkHkAQOYBAJkHAJkHAGQeAJB5AEDmAQCZBwBkHgBkHgCQeQBA5gEAmQcAZB4AkHkAkHkAQOYBAACAn0tbU4DELWD9GOTRHgBkHgCQeQBA5gEAmQcAZB4AkHkAkHkAQOYBAJkHAGQeAJB5AEDmAUDmAQCZBwBkHgCQeQBA5gEAmQcAmQcAZB4AkHkAQOYBAJkHAGQeAJB5AJB5AEDmAQCZBwBkHgCQeQBA5gFA5gEAmQcAZB4AkHkAQOYBAJkHAJkHAGQeAJB5AEDmAQCZBwBkHgCQeQCQeQBA5gEAmQcAZB4AkHkAQOYBQOYBAJkHAGQeAJB5AEDmAQCZBwCZBwBkHgCQeQBA5gEAmQcAZB4AZB4AkHkAQOYBAJkHAGQeAJB5AEDmAUDmAQCZBwBkHgCQeQBA5gEAmQcAmQcAZB4AkHkAQOYBAJkHAGQeAGQeAAAAOEXamgIkbgHrxyCP9gAg8wCAzAMAMg8AyDwAIPMAgMwDgMwDADIPAMg8ACDzAIDMAwAyDwAyDwDIPAAg8wCAzAMAMg8AyDwAyDwAIPMAgMwDADIPAMg8ACDzAIDMA4DMAwAyDwDIPAAg8wCAzAMAMg8AMg8AyDwAIPMAgMwDADIPAMg8AMg8ACDzAIDMAwAyDwDIPAAg8wCAzAOAzAMAMg8AyDwAIPMAgMwDADIPADIPAMg8ACDzAIDMAwAyDwDIPADIPAAg8wCAzAMAMg8AyDwAIPMAIPMAgMwDADIPAMg8ACDzAIDMAwAyDwAyDwDIPAAg8wCAzAMAMg8AyDwAyDwAIPMAgMwDADIPAMg8ACDzAAAAMCdtTQESt4D1Y5BHewCQeQBA5gEAmQcAZB4AkHkAQOYBQOYBAJkHAGQeAJB5AEDmAQCZBwCZBwBkHgCQeQBA5gEAmQcAZB4AZB4AkHkAQOYBAJkHAGQeAJB5AEDmAUDmAQCZBwBkHgCQeQBA5gEAmQcAmQcAZB4AkHkAQOYBAJkHAGQeAGQeAJB5AEDmAQCZBwBkHgCQeQBA5gFA5gEAmQcAZB4AkHkAQOYBAJkHAJkHAGQeAJB5AEDmAQCZBwBkHgBkHgCQeQBA5gEAmQcAZB4AkHkAkHkAQOYBAJkHAGQeAJB5AEDmAQCZBwCZBwBkHgCQeQBA5gEAmQcAZB4AZB4AkHkAQOYBAJkHAGQeAJB5AJB5AAAA4BRpawqQuAWsH4M82gOAzAMAMg8AyDwAIPMAgMwDADIPADIPAMg8ACDzAIDMAwAyDwDIPADIPAAg8wCAzAMAMg8AyDwAIPMAIPMAgMwDADIPAMg8ACDzAIDMAwAyDwAyDwDIPAAg8wCAzAMAMg8AyDwAyDwAIPMAgMwDADIPAMg8ACDzACDzAIDMAwAyDwDIPAAg8wCAzAMAMg8AMg8AyDwAIPMAgMwDADIPAMg8AMg8ACDzAIDMAwAyDwDIPAAg8wAg8wCAzAMAMg8AyDwAIPMAgMwDgMwDADIPAMg8ACDzAIDMAwAyDwDIPADIPAAg8wCAzAMAMg8AyDwAIPMAIPMAgMwDADIPAMg8ACDzAIDMAwAAwJy0NQVI3ALWj0Ee7QFA5gEAmQcAZB4AkHkAQOYBAJkHAJkHAGQeAJB5AEDmAQCZBwBkHgBkHgCQeQBA5gEAmQcAZB4AkHkAkHkAQOYBAJkHAGQeAJB5AEDmAQCZBwCZBwBkHgCQeQBA5gEAmQcAZB4AZB4AkHkAQOYBAJkHAGQeAJB5AJB5AEDmAQCZBwBkHgCQeQBA5gEAmQcAmQcAZB4AkHkAQOYBAJkHAGQeAGQeAJB5AEDmAQCZBwBkHgCQeQCQeQBA5gEAmQcAZB4AkHkAQOYBQOYBAJkHAGQeAJB5AEDmAQCZBwBkHgBkHgCQeQBA5gEAmQcAZB4AkHkAkHkAQOYBAJkHAGQeAJB5AEDmAUDmAQAAgFOkrSlA4hawfgzyaA8AMg8AyDwAIPMAgMwDADIPAMg8AMg8ACDzAIDMAwAyDwDIPAAg8wAg8wCAzAMAMg8AyDwAIPMAgMwDgMwDADIPAMg8ACDzAIDMAwAyDwDIPADIPAAg8wCAzAMAMg8AyDwAIPMAIPMAgMwDADIPAMg8ACDzAIDMA4DMAwAyDwDIPAAg8wCAzAMAMg8AyDwAyDwAIPMAgMwDADIPAMg8ACDzACDzAIDMAwAyDwDIPAAg8wCAzAOAzAMAMg8AyDwAIPMAgMwDADIPADIPAMg8ACDzAIDMAwAyDwDIPAAg8wAg8wCAzAMAMg8AyDwAIPMAgMwDgMwDADIPAMg8ACDzAIDMAwAyDwAAAHPS1hQgcQtYPwZ5tAcAmQcAZB4AkHkAQOYBAJkHAGQeAGQeAJB5AEDmAQCZBwBkHgCQeQCQeQBA5gEAmQcAZB4AkHkAQOYBQOYBAJkHAGQeAJB5AEDmAQCZBwBkHgBkHgCQeQBA5gEAmQcAZB4AkHkAkHkAQOYBAJkHAGQeAJB5AEDmAUDmAQCZBwBkHgCQeQBA5gEAmQcAZB4AZB4AkHkAQOYBAJkHAGQeAJB5AJB5AEDmAQCZBwBkHgCQeQBA5gFA5gEAmQcAZB4AkHkAQOYBAJkHAJkHAGQeAJB5AEDmAQCZBwBkHgCQeQCQeQBA5gEAmQcAZB4AkHkAQOYBQOYBAJkHAGQeAJB5AEDmAQCZBwCZBwAAAE6RtqYAiVvA+jHIoz0AyDwAIPMAgMwDADIPAMg8ACDzACDzAIDMAwAyDwDIPAAg8wCAzAOAzAMAMg8AyDwAIPMAgMwDADIPADIPAMg8ACDzAIDMAwAyDwDIPAAg8wAg8wCAzAMAMg8AyDwAIPMAgMwDgMwDADIPAMg8ACDzAIDMAwAyDwAyDwDIPAAg8wCAzAMAMg8AyDwAIPMAIPMAgMwDADIPAMg8ACDzAIDMA4DMAwAyDwDIPAAg8wCAzAMAMg8AMg8AyDwAIPMAgMwDADIPAMg8AMg8ACDzAIDMAwAyDwDIPAAg8wCAzAOAzAMAMg8AyDwAIPMAgMwDADIPADIPAMg8ACDzAIDMAwAyDwDIPAAAAMxJW1OAxC1g/Rjk0R4AZB4AkHkAQOYBAJkHAGQeAJB5AJB5AEDmAQCZBwBkHgCQeQBA5gFA5gEAmQcAZB4AkHkAQOYBAJkHAJkHAGQeAJB5AEDmAQCZBwBkHgCQeQCQeQBA5gEAmQcAZB4AkHkAQOYBQOYBAJkHAGQeAJB5AEDmAQCZBwCZBwBkHgCQeQBA5gEAmQcAZB4AkHkAkHkAQOYBAJkHAGQeAJB5AEDmAUDmAQCZBwBkHgCQeQBA5gEAmQcAmQcAZB4AkHkAQOYBAJkHAGQeAGQeAJB5AEDmAQCZBwBkHgCQeQBA5gFA5gEAmQcAZB4AkHkAQOYBAJkHAJkHAGQeAJB5AEDmAQCZBwBkHgBkHgAAADhF2poCJG4B68cgj/YAIPMAgMwDADIPAMg8ACDzAIDMA4DMAwAyDwDIPAAg8wCAzAMAMg8AMg8AyDwAIPMAgMwDADIPAMg8AMg8ACDzAIDMAwAyDwDIPAAg8wCAzAOAzAMAMg8AyDwAIPMAgMwDADIPADIPAMg8ACDzAIDMAwAyDwDIPADIPAAg8wCAzAMAMg8AyDwAIPMAgMwDgMwDADIPAMg8ACDzAIDMAwAyDwAyDwDIPAAg8wCAzAMAMg8AyDwAyDwAIPMAgMwDADIPAMg8ACDzACDzAIDMAwAyDwDIPAAg8wCAzAMAMg8AMg8AyDwAIPMAgMwDADIPAMg8AMg8ACDzAIDMAwAyDwDIPAAg8wAAADDnDaJ3e4m6KtjQAAAAAElFTkSuQmCC)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.871545 + 0.665952I
a = −0.145280 − 0.753872I
b = 0.316099 + 1.160810I
2.81429 + 2.20167I 6.81300 − 2.37182I
u = 0.871545 − 0.665952I
a = −0.145280 + 0.753872I
b = 0.316099 − 1.160810I
2.81429 − 2.20167I 6.81300 + 2.37182I
u = −0.745925 + 0.860258I
a = −0.294264 + 1.109470I
b = −0.183640 − 1.283380I
1.03858 − 7.07395I 2.58380 + 8.11816I
u = −0.745925 − 0.860258I
a = −0.294264 − 1.109470I
b = −0.183640 + 1.283380I
1.03858 + 7.07395I 2.58380 − 8.11816I
u = −0.438163 + 0.579645I
a = 0.727972 + 1.025400I
b = −0.144001 − 0.507958I
−2.29540 − 1.46021I −0.76105 + 4.77537I
u = −0.438163 − 0.579645I
a = 0.727972 − 1.025400I
b = −0.144001 + 0.507958I
−2.29540 + 1.46021I −0.76105 − 4.77537I
u = 0.622206
a = 0.441815
b = 0.387141
0.957360 10.3810
u = −0.052177 + 0.598239I
a = 2.07278 + 0.29749I
b = −0.355168 − 0.062429I
1.24085 + 2.67797I 5.53095 − 2.23117I
u = −0.052177 − 0.598239I
a = 2.07278 − 0.29749I
b = −0.355168 + 0.062429I
1.24085 − 2.67797I 5.53095 + 2.23117I
u = −0.95082 + 1.19131I
a = −0.819335 + 0.844166I
b = −0.51516 − 2.26544I
10.8970 − 11.1670I 4.44754 + 6.34112I
5