![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtQAAANmCAIAAABVOottAAAACXBIWXMAABYlAAAWJQFJUiTwAAAMkUlEQVR42u3ZsY1bQRRDUdOwMvXf6UYUQBeg1H6Ads8pQAExA92PybZf8OMlcRdwuuDGHxPAf/J6vR6Px7/6te/97/X19fV8Pm0FP6XI3VLwbYrTBZd+mwAAEB8AgPgAABAfAID4AAAQHwCA+AAAxAcAgPgAAMQHAID4AADEBwCA+AAAxAcAID4AAMQHACA+AADEBwAgPgAAxAcAID4AgG+vrREAgDPZZgVI3AWcLjji2QUAEB8AgPgAABAfAID4AAAQHwCA+AAAxAcAgPgAAMQHAID4AADEBwCA+AAAxAcAID4AAMQHACA+AADEBwAgPgAAxAcAID4AAPEBACA+AADxAQAgPgAA8QEAiA8AAPEBAIgPAADxAQCIDwAA8QEAiA8AQHwAAIgPAEB8AACIDwBAfAAAiA8AQHwAAOIDAEB8AADiAwBAfAAA4gMAQHwAAOIDABAfAADiAwAQHwAA4gMAEB8AgPgAABAfAID4AAAQHwCA+AAAEB8AgPgAAMQHAID4AADEBwCA+AAAxAcAgPgAAMQHACA+AADEBwAgPgAAxAcAID4AAPFhAgBAfAAA4gMAQHwAAOIDAEB8AADiAwAQHwAA4gMAEB8AAOIDABAfAADv2hoBADiTbVaAxF3A6YIjnl0AAPEBAIgPAADxAQCIDwAA8QEAiA8AQHwAAIgPAEB8AACIDwBAfAAAiA8AQHwAAOIDAEB8AADiAwBAfAAA4gMAQHwAAOIDABAfAADiAwAQHwAA4gMAEB8AgPgAABAfAID4AAAQHwCA+AAAEB8AgPgAAMQHAID4AADEBwCA+AAAxAcAgPgAAMQHACA+AADEBwAgPgAAxAcAID4AAMQHACA+AADxAQAgPgAA8QEAID4AAPEBAIgPAADxAQCIDwAA8QEAiA8AAPEBAIgPAEB8AACIDwBAfAAAiA8AQHwAAIgPAEB8AADiAwBAfAAA4gMAQHwAAOIDABAfJgAAxAcAID4AAMQHACA+AADEBwAgPgAA8QEAID4AAPEBACA+AIAP0dYIAMCZbLMCJO4CThcc8ewCAIgPAEB8AACIDwBAfAAAiA8AQHwAAOIDAEB8AADiAwBAfAAA4gMAQHwAAOIDABAfAADiAwAQHwAA4gMAEB8AAOIDABAfAID4AAAQHwCA+AAAEB8AgPgAAMQHAID4AADEBwCA+AAAxAcAgPgAAMQHACA+AADEBwAgPgAAxAcAID4AAMQHACA+AADxAQAgPgAA8QEAID4AAPEBACA+AADxAQCIDwAA8QEAiA8AAPEBAIgPAEB8AACIDwBAfAAAiA8AQHwAAIgPAEB8AADiAwBAfAAA4gMAQHwAAOIDAEB8AADiAwAQHwAA4gMAEB8AAOIDABAfAID4MAEAID4AAPEBACA+AADxAQAgPgAA8QEAiA8AAPEBAIgPAADxAQCIDwCAd22NAACcyTYrQOIu4HTBEc8uAID4AADEBwCA+AAAxAcAgPgAAMQHACA+AADEBwAgPgAAxAcAID4AAMQHACA+AADxAQAgPgAA8QEAID4AAPEBACA+AADxAQCIDwAA8QEAiA8AAPEBAIgPAEB8AACIDwBAfAAAiA8AQHwAAIgPAEB8AADiAwBAfAAA4gMAQHwAAOIDAEB8AADiAwAQHwAA4gMAEB8AAOIDABAfAADiAwAQHwCA+AAAEB8AgPgAABAfAID4AADEBwCA+AAAxAcAgPgAAMQHAID4AADEBwAgPgAAxAcAID4AAMQHACA+AADEBwAgPgAA8QEAID4AAPEBACA+AADxAQCIDxMAAOIDABAfAADiAwAQHwAA4gMAEB8AgPgAABAfAID4AAAQHwDAh2hrBADgTLZZARJ3AacLjnh2AQDEBwAgPgAAxAcAID4AAMQHACA+AADxAQAgPgAA8QEAID4AAPEBACA+AADxAQCIDwAA8QEAiA8AAPEBAIgPAADxAQCIDwBAfAAAiA8AQHwAAIgPAEB8AADiAwBAfAAA4gMAQHwAAOIDAEB8AADiAwAQHwAA4gMAEB8AAOIDABAfAADiAwAQHwCA+AAAEB8AgPgAABAfAID4AAAQHwCA+AAAxAcAgPgAAMQHAID4AADEBwAgPgAAxAcAID4AAMQHACA+AADEBwAgPgAA8QEAID4AAPEBACA+AADxAQAgPgAA8QEAiA8AAPEBAIgPAADxAQCIDwBAfJgAABAfAID4AAAQHwCA+AAAEB8AgPgAAMQHAID4AADEBwCA+AAAxAcAwLu2RgAAzmSbFSBxF3C64IhnFwBAfAAA4gMAQHwAAOIDAEB8AADiAwAQHwAA4gMAEB8AAOIDABAfAADiAwAQHwCA+AAAEB8AgPgAABAfAID4AAAQHwCA+AAAxAcAgPgAAMQHAID4AADEBwAgPgAAxAcAID4AAMQHACA+AADEBwAgPgAA8QEAID4AAPEBACA+AADxAQAgPgAA8QEAiA8AAPEBAIgPAADxAQCIDwAA8QEAiA8AQHwAAIgPAEB8AACIDwBAfAAA4gMAQHwAAOIDAEB8AADiAwBAfAAA4gMAEB8AAOIDABAfAADiAwAQHwAA4gMAEB8AgPgAABAfAID4AAAQHwCA+AAAxIcJAADxAQCIDwAA8QEAiA8AAPEBAIgPAEB8AACIDwBAfAAAiA8A4EO0NQIAcCbbrACJu4DTBUc8uwAA4gMAEB8AAOIDABAfAADiAwAQHwCA+AAAEB8AgPgAABAfAID4AAAQHwCA+AAAxAcAgPgAAMQHAID4AADEBwCA+AAAxAcAID4AAMQHACA+AADEBwAgPgAA8QEAID4AAPEBACA+AADxAQAgPgAA8QEAiA8AAPEBAIgPAADxAQCIDwAA8QEAiA8AQHwAAIgPAEB8AACIDwBAfAAAiA8AQHwAAOIDAEB8AADiAwBAfAAA4gMAEB8AAOIDABAfAADiAwAQHwAA4gMAEB8AgPgAABAfAID4AAAQHwCA+AAAEB8AgPgAAMQHAID4AADEBwCA+AAAxAcAID5MAACIDwBAfAAAiA8AQHwAAIgPAEB8AADiAwBAfAAA4gMAQHwAAOIDAOBdWyMAAGeyzQqQuAs4XXDEswsAID4AAPEBACA+AADxAQAgPgAA8QEAiA8AAPEBAIgPAADxAQCIDwAA8QEAiA8AQHwAAIgPAEB8AACIDwBAfAAAiA8AQHwAAOIDAEB8AADiAwBAfAAA4gMAEB8AAOIDABAfAADiAwAQHwAA4gMAEB8AgPgAABAfAID4AAAQHwCA+AAAEB8AgPgAAMQHAID4AADEBwCA+AAAxAcAgPgAAMQHACA+AADEBwAgPgAAxAcAID4AAPEBACA+AADxAQAgPgAA8QEAID4AAPEBAIgPAADxAQCIDwAA8QEAiA8AAPEBAIgPAEB8AACIDwBAfAAAiA8AQHwAAOLDBACA+AAAxAcAgPgAAMQHAID4AADEBwAgPgAAxAcAID4AAMQHAPAh2hoBADiTbVaAxF3A6YIjnl0AAPEBAIgPAADxAQCIDwAA8QEAiA8AQHwAAIgPAEB8AACIDwBAfAAAiA8AQHwAAOIDAEB8AADiAwBAfAAA4gMAQHwAAOIDABAfAADiAwAQHwAA4gMAEB8AgPgAABAfAID4AAAQHwCA+AAAEB8AgPgAAMQHAID4AADEBwCA+AAAxAcAgPgAAMQHACA+AADEBwAgPgAAxAcAID4AAMQHACA+AADxAQAgPgAA8QEAID4AAPEBAIgPAADxAQCIDwAA8QEAiA8AAPEBAIgPAEB8AACIDwBAfAAAiA8AQHwAAIgPAEB8AADiAwBAfAAA4gMAQHwAAOIDABAfJgAAxAcAID4AAMQHACA+AADEBwAgPgAA8QEAID4AAPEBACA+AADxAQDwrq0RAIAz2WYFSNwFnC444tkFABAfAID4AAAQHwCA+AAAEB8AgPgAAMQHAID4AADEBwCA+AAAxAcAgPgAAMQHACA+AADEBwAgPgAAxAcAID4AAMQHACA+AADxAQAgPgAA8QEAID4AAPEBAIgPAADxAQCIDwAA8QEAiA8AAPEBAIgPAEB8AACIDwBAfAAAiA8AQHwAAIgPAEB8AADiAwBAfAAA4gMAQHwAAOIDAEB8AADiAwAQHwAA4gMAEB8AAOIDABAfAID4AAAQHwCA+AAAEB8AgPgAABAfAID4AADEBwCA+AAAxAcAgPgAAMQHAID4AADEBwAgPgAAxAcAID4AAMQHACA+AADxYQIAQHwAAOIDAEB8AADiAwBAfAAA4gMAEB8AAOIDABAfAADiAwD4EG2NAACc+Qtr257kXDR2gQAAAABJRU5ErkJggg==)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.699304 + 0.727429I
a = −0.81750 + 1.62981I
b = 1.09069 + 1.48911I
1.98631 − 1.49498I 0
u = 0.699304 − 0.727429I
a = −0.81750 − 1.62981I
b = 1.09069 − 1.48911I
1.98631 + 1.49498I 0
u = 0.744909 + 0.652303I
a = 1.26089 − 1.11132I
b = −0.58742 − 1.53965I
7.63346 − 4.09071I 11.11372 + 0.I
u = 0.744909 − 0.652303I
a = 1.26089 + 1.11132I
b = −0.58742 + 1.53965I
7.63346 + 4.09071I 11.11372 + 0.I
u = 0.255824 + 0.983693I
a = −2.12297 + 1.21195I
b = −0.696626 + 0.485271I
2.47634 + 0.27430I 0
u = 0.255824 − 0.983693I
a = −2.12297 − 1.21195I
b = −0.696626 − 0.485271I
2.47634 − 0.27430I 0
u = −0.170505 + 0.968417I
a = −0.123996 + 0.383932I
b = 0.236307 + 0.425064I
−1.37887 − 2.37996I 0. + 4.42703I
u = −0.170505 − 0.968417I
a = −0.123996 − 0.383932I
b = 0.236307 − 0.425064I
−1.37887 + 2.37996I 0. − 4.42703I
u = −0.049028 + 0.970113I
a = 0.677255 + 0.372469I
b = 0.574789 − 0.544320I
−3.09814 − 1.84421I −3.35735 + 5.07051I
u = −0.049028 − 0.970113I
a = 0.677255 − 0.372469I
b = 0.574789 + 0.544320I
−3.09814 + 1.84421I −3.35735 − 5.07051I
5