![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAucAAALsCAIAAADPoo5cAAAACXBIWXMAABYlAAAWJQFJUiTwAAALfElEQVR42u3ZwWlDUQxE0UzI0v136vWkhYDCgD/nFOCFkOxrXtp+AQdJ3BHWEgZ+jAA+8QfpHz/twb9t7/f79XoZFDzn288dgj+1WEv4CN9GAACoFgAA1QIAqBYAANUCAKBaAADVAgCgWgAAVAsAoFoAAFQLAIBqAQBUCwCAagEAUC0AgGoBAFAtAIBqAQBQLQAAqgUAUC0AAAAA/FHamgKcrijuCGsJC16IAADVAgCgWgAA1QIAoFoAAFQLAKBaAABUCwCAagEAVAsAgGoBAFAtAIBqAQBQLQAAqgUAUC0AAKoFAFAtAACqBQBAtQAAqgUAQLUAAKgWAAAAgL20NQU4XVHcEdYSFrwQAQCqBQBAtQAAqgUAQLUAAKgWAEC1AACoFgAA1QIAqBYAANUCAKBaAADVAgCgWgAAVAsAoFoAAFQLAKBaAABUCwCAagEAVAsAgGoBAFAtAAAAAHtpawpwuqK4I6wlLHghAgBUCwCAagEAVAsAgGoBAFAtAIBqAQBQLQAAqgUAUC0AAKoFAEC1AACqBQBAtQAAqBYAQLUAAKgWAEC1AACoFgAA1QIAqBYAANUCAKBaAAAAAPbS1hTgdEVxR1hLWPBCBACoFgAA1QIAqBYAANUCAKBaAADVAgCgWgAAVAsAoFoAAFQLAIBqAQBUCwCAagEAUC0AgGoBAFAtAIBqAQBQLQAAqgUAUC0AAKoFAEC1AAAAAOylrSnA6YrijrCWsOCFCABQLQAAqgUAUC0AAKoFAEC1AACqBQBAtQAAqBYAQLUAAKgWAADVAgCoFgAA1QIAoFoAANUCAKBaAADVAgCgWgAAVAsAoFoAAFQLAIBqAQAAANhLW1OA0xXFHWEtYcELEQCgWgAAVAsAoFoAAFQLAIBqAQBUCwCAagEAUC0AgGoBAFAtAACqBQBQLQAAqgUAQLUAAKoFAEC1AACqBQBAtQAAqBYAQLUAAKgWAADVAgAAALCXtqYApyuKO8JawoIXIgBAtQAAqBYAQLUAAKgWAADVAgCoFgAA1QIAoFoAANUCAKBaAABUCwCgWgAAVAsAgGoBAFQLAIBqAQBUCwCAagEAUC0AgGoBAFAtAACqBQAAAGAvbU0BTlcUd4S1hAUvRACAagEAUC0AgGoBAFAtAACqBQBQLQAAqgUAQLUAAKoFAEC1AACoFgBAtQAAqBYAANUCAKgWAADVAgCoFgAA1QIAoFoAANUCAKBaAAAAAJ4lbU0BTlcUd4S1hAUvRACAagEAUC0AgGoBAFAtAACqBQBQLQAAqgUAQLUAAKoFAEC1AACoFgBAtQAAqBYAANUCAKgWAADVAgCoFgAA1QIAoFoAANUCAKBaAABUCwAAAMBe2poCnK4o7ghrCQteiAAA1QIAoFoAANUCAKBaAABUCwCgWgAAVAsAgGoBAFQLAIBqAQBQLQCAagEAUC0AAKoFAFAtAACqBQBQLQAAqgUAQLUAAKoFAEC1AACoFgAAAIC9tDUFOF1R3BHWEha8EAEAqgUAQLUAAKoFAEC1AACoFgBAtQAAqBYAANUCAKgWAADVAgCgWgAA1QIAoFoAAFQLAKBaAABUCwCgWgAAVAsAgGoBAFQLAIBqAQBQLQAAAAB7aWsKcLqiuCOsJSx4IQIAVAsAgGoBAFQLAIBqAQBQLQCAagEAUC0AAKoFAFAtAACqBQBAtQAAqgUAQLUAAKgWAEC1AACoFgBAtQAAqBYAANUCAKgWAADVAgCgWgAAAAD20tYU4HRFcUdYS1jwQgQAqBYAANUCAKgWAADVAgCgWgAA1QIAoFoAAFQLAKBaAABUCwCAagEAVAsAgGoBAFAtAIBqAQBQLQCAagEAUC0AAKoFAFAtAACqBQBAtQAAAADspa0pwOmK4o6wlrDghQgAUC0AAKoFAFAtAACqBQBAtQAAqgUAQLUAAKgWAEC1AACoFgAA1QIAqBYAANUCAKBaAADVAgCgWgAA1QIAoFoAAFQLAKBaAABUCwCAagEAAADYS1tTgNMVxR1hLWHBCxEAoFoAAFQLAKBaAABUCwCAagEAVAsAgGoBAFAtAIBqAQBQLQAAqgUAUC0AAKoFAEC1AACqBQBAtQAAqgUAQLUAAKgWAEC1AACoFgAA1QIAAACwl7amAKcrijvCWsKCFyIAQLUAAKgWAEC1AACoFgAA1QIAqBYAANUCAKBaAADVAgCgWgAAVAsAoFoAAFQLAIBqAQBUCwCAagEAVAsAgGoBAFAtAIBqAQBQLQAAqgUAAABgL21NAU5XFHeEtYQFL0QAgGoBAFAtAIBqAQBQLQAAqgUAUC0AAKoFAEC1AACqBQBAtQAAqBYAQLUAAKgWAADVAgCoFgAA1QIAqBYAANUCAKBaAADVAgCgWgAAVAsAAADAXtqaApyuKO4IawkLXogAANUCAKBaAADVAgCgWgAAVAsAoFoAAFQLAIBqAQBUCwCAagEAUC0AgGoBAFAtAACqBQBQLQAAqgUAUC0AAKoFAEC1AACqBQBAtQAAqBYAAACAvbQ1BThdUdwR1hIWvBABAKoFAEC1AACqBQBAtQAAqBYAQLUAAKgWAADVAgCoFgAA1QIAoFoAANUCAKBaAABUCwCgWgAAVAsAoFoAAFQLAIBqAQBUCwCAagEAAAB4lrQ1BThdUdwR1hIWvBABAKoFAEC1AACqBQBAtQAAqBYAQLUAAKgWAADVAgCoFgAA1QIAoFoAANUCAKBaAABUCwCgWgAAVAsAoFoAAFQLAIBqAQBUCwCAagEAUC0AAAAAe2lrCnC6orgjrCUseCECAFQLAIBqAQBUCwCAagEAUC0AgGoBAFAtAACqBQBQLQAAqgUAQLUAAKoFAEC1AACoFgBAtQAAqBYAQLUAAKgWAADVAgCoFgAA1QIAoFoAAAAA9tLWFOB0RXFHWEtY8EIEAKgWAADVAgCoFgAA1QIAoFoAANUCAKBaAABUCwCgWgAAVAsAgGoBAFQLAIBqAQBQLQCAagEAUC0AgGoBAFAtAACqBQBQLQAAqgUAQLUAAAAA7KWtKcDpiuKOsJaw4IUIAFAtAACqBQBQLQAAqgUAQLUAAKoFAEC1AACoFgBAtQAAqBYAANUCAKgWAADVAgCgWgAA1QIAoFoAANUCAKBaAABUCwCgWgAAVAsAgGoBAAAA2EtbU4DTFcUdYS1hwQsRAKBaAABUCwCgWgAAVAsAgGoBAFQLAIBqAQBQLQCAagEAUC0AAKoFAFAtAACqBQBAtQAAqgUAQLUAAKoFAEC1AACoFgBAtQAAqBYAANUCAAAAsJe2pgCnK4o7wlrCghciAEC1AACoFgBAtQAAqBYAANUCAKgWAADVAgCgWgAA1QIAoFoAAFQLAKBaAABUCwCAagEAVAsAgGoBAFQLAIBqAQBQLQCAagEAUC0AAKoFAAAAYC9tTQFOVxR3hLWEBS9EAIBqAQBQLQCAagEAUC0AAKoFAFAtAACqBQBAtQAAqgUAQLUAAKgWAEC1AACoFgAA1QIAqBYAANUCAKgWAADVAgCgWgAA1QIAoFoAAFQLAAAAwF7amgKcrijuCGsJC16IAADVAgCgWgAA1QIAoFoAAFQLAKBaAABUCwCAagEAVAsAgGoBAFAtAIBqAQBQLQAAqgUAUC0AAKoFAFAtAACqBQBAtQAAqgUAQLUAAKgWAAAAgL20NQU4XVHcEdYSFrwQAQCqBQBAtQAAqgUAQLUAAKgWAEC1AACoFgAA1QIAqBYAANUCAKBaAADVAgCgWgAAVAsAoFoAAFQLAKBaAABUCwCAagEAVAsAgGoBAFAtAAAAAHtpawpwuqK4I6wlLHghAgBUCwCAagEAVAsAgGoBAFAtAIBqAQBQLQAAqgUAUC0AAKoFAEC1AACqBQBAtQAAqBYAQLUAAKgWAEC1AACoFgAA1QIAqBYAANUCAKBaAAAAAPZ+AfcxJTL2CcuTAAAAAElFTkSuQmCC)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.07968
2.46262 2.59660
u = −0.840545 + 0.145144I
−5.25732 + 0.07846I 2.69491 + 1.17577I
u = −0.840545 − 0.145144I
−5.25732 − 0.07846I 2.69491 − 1.17577I
u = −1.205760 + 0.116422I
6.35623 − 1.67361I 9.89817 + 0.46541I
u = −1.205760 − 0.116422I
6.35623 + 1.67361I 9.89817 − 0.46541I
u = 1.202640 + 0.175266I
5.26333 + 5.33299I 6.65607 − 6.84513I
u = 1.202640 − 0.175266I
5.26333 − 5.33299I 6.65607 + 6.84513I
u = −1.199740 + 0.218974I
−2.23245 − 7.72857I 3.61909 + 5.37469I
u = −1.199740 − 0.218974I
−2.23245 + 7.72857I 3.61909 − 5.37469I
u = 1.26442
1.39387 5.96400
u = 0.471072 + 0.447454I
−7.58667 + 5.43585I −0.17849 − 6.76696I
u = 0.471072 − 0.447454I
−7.58667 − 5.43585I −0.17849 + 6.76696I
u = −0.467285 + 0.371692I
−0.11770 − 3.45863I 2.80280 + 9.42983I
u = −0.467285 − 0.371692I
−0.11770 + 3.45863I 2.80280 − 9.42983I
u = 0.182355 + 0.485286I
−8.43922 − 2.34125I −3.35682 − 0.17846I
u = 0.182355 − 0.485286I
−8.43922 + 2.34125I −3.35682 + 0.17846I
u = 0.466672 + 0.213238I
0.927707 + 0.489193I 8.47168 − 2.23458I
u = 0.466672 − 0.213238I
0.927707 − 0.489193I 8.47168 + 2.23458I
u = −0.153276 + 0.375440I
−1.021340 + 0.906585I −2.70117 − 1.63465I
u = −0.153276 − 0.375440I
−1.021340 − 0.906585I −2.70117 + 1.63465I
u = 1.73522
4.28136 2.00000
u = −1.76786
12.9166 2.00000
u = 1.78372 + 0.05527I
8.64020 + 8.93823I 0. − 4.29230I
u = 1.78372 − 0.05527I
8.64020 − 8.93823I 0. + 4.29230I
u = −1.78538 + 0.04379I
16.1866 − 6.3008I 0. + 5.54756I
u = −1.78538 − 0.04379I
16.1866 + 6.3008I 0. − 5.54756I
u = 1.78638 + 0.03003I
17.3230 + 2.3306I 0
u = 1.78638 − 0.03003I
17.3230 − 2.3306I 0
u = −1.79318
12.6221 5.86870
5