PGL(2,C)-representations for m123

Manifold	Obstruction index	Degree of component	PSL(2,R)	SL(2,C)	Complex volume
m123	0	3	X	X	0		-0	.4699811619566361247 i
			X	X	0		-0	.2349905809783180623 i
			X	X	0		0	.7049717429349541870 i
		4		X	-2	.4682321966809086789	-0	.2931428969477136707 i
			X	X	0		0	.0475782701266555772 i
			X	X	0		0	.5387075237687717641 i
				X	2	.4682321966809086789	-0	.2931428969477136707 i
	1	7			-3	.6532457405645528169	-0	.4710295199057581151 i
					-0	.8351036666991367547	0	.2691060011456247110 i
			X		0		-0	.1821921225837995599 i
			X		0		0	.0889295253080113783 i
			X		0		0	.4971096347960549898 i
					0	.8351036666991367547	0	.2691060011456247110 i
					3	.6532457405645528169	-0	.4710295199057581151 i