Multipoles for Point Group C5v

Spherical Harmonics Y^l / Multipole				Symmetric Power [Γ^l(xyz)]
l	2l+1	Multipole	Symmetry	Rank	[Γ^l(xyz)]
s (l=0)	1	Monopole	A₁	1	A₁
p (l=1)	3	Dipole	A₁⊕E₁	3	A₁⊕E₁
d (l=2)	5	Quadrupole	A₁⊕E₁⊕E₂	6	2A₁⊕E₁⊕E₂
f (l=3)	7	Octupole	A₁⊕E₁⊕2E₂	10	2A₁⊕2E₁⊕2E₂
g (l=4)	9	Hexadecapole	A₁⊕2E₁⊕2E₂	15	3A₁⊕3E₁⊕3E₂
h (l=5)	11	Dotricontapole	2A₁⊕A₂⊕2E₁⊕2E₂	21	4A₁⊕A₂⊕4E₁⊕4E₂
i (l=6)	13	Tetrahexacontapole	2A₁⊕A₂⊕3E₁⊕2E₂	28	5A₁⊕A₂⊕6E₁⊕5E₂
j (l=7)	15	Octacosahectapole	2A₁⊕A₂⊕3E₁⊕3E₂	36	6A₁⊕2A₂⊕7E₁⊕7E₂
k (l=8)	17	256--pole	2A₁⊕A₂⊕3E₁⊕4E₂	45	7A₁⊕2A₂⊕9E₁⊕9E₂
l (l=9)	19	512--pole	2A₁⊕A₂⊕4E₁⊕4E₂	55	8A₁⊕3A₂⊕11E₁⊕11E₂
m (l=10)	21	1.024--pole	3A₁⊕2A₂⊕4E₁⊕4E₂	66	10A₁⊕4A₂⊕13E₁⊕13E₂
n (l=11)	23	2.048--pole	3A₁⊕2A₂⊕5E₁⊕4E₂	78	11A₁⊕5A₂⊕16E₁⊕15E₂
o (l=12)	25	4.096--pole	3A₁⊕2A₂⊕5E₁⊕5E₂	91	13A₁⊕6A₂⊕18E₁⊕18E₂
q (l=13)	27	8.192--pole	3A₁⊕2A₂⊕5E₁⊕6E₂	105	14A₁⊕7A₂⊕21E₁⊕21E₂
r (l=14)	29	16.384--pole	3A₁⊕2A₂⊕6E₁⊕6E₂	120	16A₁⊕8A₂⊕24E₁⊕24E₂
t (l=15)	31	32.768--pole	4A₁⊕3A₂⊕6E₁⊕6E₂	136	18A₁⊕10A₂⊕27E₁⊕27E₂
u (l=16)	33	65.536--pole	4A₁⊕3A₂⊕7E₁⊕6E₂	153	20A₁⊕11A₂⊕31E₁⊕30E₂
v (l=17)	35	131.072--pole	4A₁⊕3A₂⊕7E₁⊕7E₂	171	22A₁⊕13A₂⊕34E₁⊕34E₂
w (l=18)	37	262.144--pole	4A₁⊕3A₂⊕7E₁⊕8E₂	190	24A₁⊕14A₂⊕38E₁⊕38E₂
x (l=19)	39	524.288--pole	4A₁⊕3A₂⊕8E₁⊕8E₂	210	26A₁⊕16A₂⊕42E₁⊕42E₂
y (l=20)	41	1.048.576--pole	5A₁⊕4A₂⊕8E₁⊕8E₂	231	29A₁⊕18A₂⊕46E₁⊕46E₂
z (l=21)	43	2.097.152--pole	5A₁⊕4A₂⊕9E₁⊕8E₂	253	31A₁⊕20A₂⊕51E₁⊕50E₂
(l=22)	45	4.194.304--pole	5A₁⊕4A₂⊕9E₁⊕9E₂	276	34A₁⊕22A₂⊕55E₁⊕55E₂
(l=23)	47	8.388.608--pole	5A₁⊕4A₂⊕9E₁⊕10E₂	300	36A₁⊕24A₂⊕60E₁⊕60E₂
(l=24)	49	16.777.216--pole	5A₁⊕4A₂⊕10E₁⊕10E₂	325	39A₁⊕26A₂⊕65E₁⊕65E₂
(l=25)	51	33.554.432--pole	6A₁⊕5A₂⊕10E₁⊕10E₂	351	42A₁⊕29A₂⊕70E₁⊕70E₂
(l=26)	53	67.108.864--pole	6A₁⊕5A₂⊕11E₁⊕10E₂	378	45A₁⊕31A₂⊕76E₁⊕75E₂
(l=27)	55	134.217.728--pole	6A₁⊕5A₂⊕11E₁⊕11E₂	406	48A₁⊕34A₂⊕81E₁⊕81E₂
(l=28)	57	268.435.456--pole	6A₁⊕5A₂⊕11E₁⊕12E₂	435	51A₁⊕36A₂⊕87E₁⊕87E₂
(l=29)	59	536.870.912--pole	6A₁⊕5A₂⊕12E₁⊕12E₂	465	54A₁⊕39A₂⊕93E₁⊕93E₂
(l=30)	61	1.073.741.824--pole	7A₁⊕6A₂⊕12E₁⊕12E₂	496	58A₁⊕42A₂⊕99E₁⊕99E₂
(l=31)	63	2.147.483.648--pole	7A₁⊕6A₂⊕13E₁⊕12E₂	528	61A₁⊕45A₂⊕106E₁⊕105E₂
(l=32)	65	4.294.967.296--pole	7A₁⊕6A₂⊕13E₁⊕13E₂	561	65A₁⊕48A₂⊕112E₁⊕112E₂
(l=33)	67	8.589.934.592--pole	7A₁⊕6A₂⊕13E₁⊕14E₂	595	68A₁⊕51A₂⊕119E₁⊕119E₂
(l=34)	69	17.179.869.184--pole	7A₁⊕6A₂⊕14E₁⊕14E₂	630	72A₁⊕54A₂⊕126E₁⊕126E₂
(l=35)	71	34.359.738.368--pole	8A₁⊕7A₂⊕14E₁⊕14E₂	666	76A₁⊕58A₂⊕133E₁⊕133E₂
(l=36)	73	68.719.476.736--pole	8A₁⊕7A₂⊕15E₁⊕14E₂	703	80A₁⊕61A₂⊕141E₁⊕140E₂
(l=37)	75	137.438.953.472--pole	8A₁⊕7A₂⊕15E₁⊕15E₂	741	84A₁⊕65A₂⊕148E₁⊕148E₂
(l=38)	77	274.877.906.944--pole	8A₁⊕7A₂⊕15E₁⊕16E₂	780	88A₁⊕68A₂⊕156E₁⊕156E₂
(l=39)	79	549.755.813.888--pole	8A₁⊕7A₂⊕16E₁⊕16E₂	820	92A₁⊕72A₂⊕164E₁⊕164E₂
(l=40)	81	1.099.511.627.776--pole	9A₁⊕8A₂⊕16E₁⊕16E₂	861	97A₁⊕76A₂⊕172E₁⊕172E₂
(l=41)	83	2.199.023.255.552--pole	9A₁⊕8A₂⊕17E₁⊕16E₂	903	101A₁⊕80A₂⊕181E₁⊕180E₂
(l=42)	85	4.398.046.511.104--pole	9A₁⊕8A₂⊕17E₁⊕17E₂	946	106A₁⊕84A₂⊕189E₁⊕189E₂
(l=43)	87	8.796.093.022.208--pole	9A₁⊕8A₂⊕17E₁⊕18E₂	990	110A₁⊕88A₂⊕198E₁⊕198E₂
(l=44)	89	17.592.186.044.416--pole	9A₁⊕8A₂⊕18E₁⊕18E₂	1.035	115A₁⊕92A₂⊕207E₁⊕207E₂
(l=45)	91	35.184.372.088.832--pole	10A₁⊕9A₂⊕18E₁⊕18E₂	1.081	120A₁⊕97A₂⊕216E₁⊕216E₂
(l=46)	93	70.368.744.177.664--pole	10A₁⊕9A₂⊕19E₁⊕18E₂	1.128	125A₁⊕101A₂⊕226E₁⊕225E₂
(l=47)	95	140.737.488.355.328--pole	10A₁⊕9A₂⊕19E₁⊕19E₂	1.176	130A₁⊕106A₂⊕235E₁⊕235E₂
(l=48)	97	281.474.976.710.656--pole	10A₁⊕9A₂⊕19E₁⊕20E₂	1.225	135A₁⊕110A₂⊕245E₁⊕245E₂
(l=49)	99	562.949.953.421.312--pole	10A₁⊕9A₂⊕20E₁⊕20E₂	1.275	140A₁⊕115A₂⊕255E₁⊕255E₂
(l=50)	101	1.125.899.906.842.624--pole	11A₁⊕10A₂⊕20E₁⊕20E₂	1.326	146A₁⊕120A₂⊕265E₁⊕265E₂
(l=51)	103	2.251.799.813.685.248--pole	11A₁⊕10A₂⊕21E₁⊕20E₂	1.378	151A₁⊕125A₂⊕276E₁⊕275E₂
(l=52)	105	4.503.599.627.370.496--pole	11A₁⊕10A₂⊕21E₁⊕21E₂	1.431	157A₁⊕130A₂⊕286E₁⊕286E₂
(l=53)	107	9.007.199.254.740.992--pole	11A₁⊕10A₂⊕21E₁⊕22E₂	1.485	162A₁⊕135A₂⊕297E₁⊕297E₂
(l=54)	109	18.014.398.509.481.984--pole	11A₁⊕10A₂⊕22E₁⊕22E₂	1.540	168A₁⊕140A₂⊕308E₁⊕308E₂
(l=55)	111	36.028.797.018.963.968--pole	12A₁⊕11A₂⊕22E₁⊕22E₂	1.596	174A₁⊕146A₂⊕319E₁⊕319E₂
(l=56)	113	72.057.594.037.927.936--pole	12A₁⊕11A₂⊕23E₁⊕22E₂	1.653	180A₁⊕151A₂⊕331E₁⊕330E₂
(l=57)	115	144.115.188.075.855.872--pole	12A₁⊕11A₂⊕23E₁⊕23E₂	1.711	186A₁⊕157A₂⊕342E₁⊕342E₂
(l=58)	117	288.230.376.151.711.744--pole	12A₁⊕11A₂⊕23E₁⊕24E₂	1.770	192A₁⊕162A₂⊕354E₁⊕354E₂
(l=59)	119	576.460.752.303.423.488--pole	12A₁⊕11A₂⊕24E₁⊕24E₂	1.830	198A₁⊕168A₂⊕366E₁⊕366E₂
(l=60)	121	1.152.921.504.606.846.976--pole	13A₁⊕12A₂⊕24E₁⊕24E₂	1.891	205A₁⊕174A₂⊕378E₁⊕378E₂
(l=61)	123	2.305.843.009.213.693.952--pole	13A₁⊕12A₂⊕25E₁⊕24E₂	1.953	211A₁⊕180A₂⊕391E₁⊕390E₂
(l=62)	125	4.611.686.018.427.387.904--pole	13A₁⊕12A₂⊕25E₁⊕25E₂	2.016	218A₁⊕186A₂⊕403E₁⊕403E₂
(l=63)	127	-----	13A₁⊕12A₂⊕25E₁⊕26E₂	2.080	224A₁⊕192A₂⊕416E₁⊕416E₂
(l=64)	129	-----	13A₁⊕12A₂⊕26E₁⊕26E₂	2.145	231A₁⊕198A₂⊕429E₁⊕429E₂
(l=65)	131	-----	14A₁⊕13A₂⊕26E₁⊕26E₂	2.211	238A₁⊕205A₂⊕442E₁⊕442E₂
(l=66)	133	-----	14A₁⊕13A₂⊕27E₁⊕26E₂	2.278	245A₁⊕211A₂⊕456E₁⊕455E₂
(l=67)	135	-----	14A₁⊕13A₂⊕27E₁⊕27E₂	2.346	252A₁⊕218A₂⊕469E₁⊕469E₂
(l=68)	137	-----	14A₁⊕13A₂⊕27E₁⊕28E₂	2.415	259A₁⊕224A₂⊕483E₁⊕483E₂
(l=69)	139	-----	14A₁⊕13A₂⊕28E₁⊕28E₂	2.485	266A₁⊕231A₂⊕497E₁⊕497E₂
(l=70)	141	-----	15A₁⊕14A₂⊕28E₁⊕28E₂	2.556	274A₁⊕238A₂⊕511E₁⊕511E₂
(l=71)	143	-----	15A₁⊕14A₂⊕29E₁⊕28E₂	2.628	281A₁⊕245A₂⊕526E₁⊕525E₂
(l=72)	145	-----	15A₁⊕14A₂⊕29E₁⊕29E₂	2.701	289A₁⊕252A₂⊕540E₁⊕540E₂
(l=73)	147	-----	15A₁⊕14A₂⊕29E₁⊕30E₂	2.775	296A₁⊕259A₂⊕555E₁⊕555E₂
(l=74)	149	-----	15A₁⊕14A₂⊕30E₁⊕30E₂	2.850	304A₁⊕266A₂⊕570E₁⊕570E₂
(l=75)	151	-----	16A₁⊕15A₂⊕30E₁⊕30E₂	2.926	312A₁⊕274A₂⊕585E₁⊕585E₂
(l=76)	153	-----	16A₁⊕15A₂⊕31E₁⊕30E₂	3.003	320A₁⊕281A₂⊕601E₁⊕600E₂
(l=77)	155	-----	16A₁⊕15A₂⊕31E₁⊕31E₂	3.081	328A₁⊕289A₂⊕616E₁⊕616E₂
(l=78)	157	-----	16A₁⊕15A₂⊕31E₁⊕32E₂	3.160	336A₁⊕296A₂⊕632E₁⊕632E₂
(l=79)	159	-----	16A₁⊕15A₂⊕32E₁⊕32E₂	3.240	344A₁⊕304A₂⊕648E₁⊕648E₂
(l=80)	161	-----	17A₁⊕16A₂⊕32E₁⊕32E₂	3.321	353A₁⊕312A₂⊕664E₁⊕664E₂
(l=81)	163	-----	17A₁⊕16A₂⊕33E₁⊕32E₂	3.403	361A₁⊕320A₂⊕681E₁⊕680E₂
(l=82)	165	-----	17A₁⊕16A₂⊕33E₁⊕33E₂	3.486	370A₁⊕328A₂⊕697E₁⊕697E₂
(l=83)	167	-----	17A₁⊕16A₂⊕33E₁⊕34E₂	3.570	378A₁⊕336A₂⊕714E₁⊕714E₂
(l=84)	169	-----	17A₁⊕16A₂⊕34E₁⊕34E₂	3.655	387A₁⊕344A₂⊕731E₁⊕731E₂
(l=85)	171	-----	18A₁⊕17A₂⊕34E₁⊕34E₂	3.741	396A₁⊕353A₂⊕748E₁⊕748E₂
(l=86)	173	-----	18A₁⊕17A₂⊕35E₁⊕34E₂	3.828	405A₁⊕361A₂⊕766E₁⊕765E₂
(l=87)	175	-----	18A₁⊕17A₂⊕35E₁⊕35E₂	3.916	414A₁⊕370A₂⊕783E₁⊕783E₂
(l=88)	177	-----	18A₁⊕17A₂⊕35E₁⊕36E₂	4.005	423A₁⊕378A₂⊕801E₁⊕801E₂
(l=89)	179	-----	18A₁⊕17A₂⊕36E₁⊕36E₂	4.095	432A₁⊕387A₂⊕819E₁⊕819E₂
(l=90)	181	-----	19A₁⊕18A₂⊕36E₁⊕36E₂	4.186	442A₁⊕396A₂⊕837E₁⊕837E₂
(l=91)	183	-----	19A₁⊕18A₂⊕37E₁⊕36E₂	4.278	451A₁⊕405A₂⊕856E₁⊕855E₂
(l=92)	185	-----	19A₁⊕18A₂⊕37E₁⊕37E₂	4.371	461A₁⊕414A₂⊕874E₁⊕874E₂
(l=93)	187	-----	19A₁⊕18A₂⊕37E₁⊕38E₂	4.465	470A₁⊕423A₂⊕893E₁⊕893E₂
(l=94)	189	-----	19A₁⊕18A₂⊕38E₁⊕38E₂	4.560	480A₁⊕432A₂⊕912E₁⊕912E₂
(l=95)	191	-----	20A₁⊕19A₂⊕38E₁⊕38E₂	4.656	490A₁⊕442A₂⊕931E₁⊕931E₂
(l=96)	193	-----	20A₁⊕19A₂⊕39E₁⊕38E₂	4.753	500A₁⊕451A₂⊕951E₁⊕950E₂
(l=97)	195	-----	20A₁⊕19A₂⊕39E₁⊕39E₂	4.851	510A₁⊕461A₂⊕970E₁⊕970E₂
(l=98)	197	-----	20A₁⊕19A₂⊕39E₁⊕40E₂	4.950	520A₁⊕470A₂⊕990E₁⊕990E₂
(l=99)	199	-----	20A₁⊕19A₂⊕40E₁⊕40E₂	5.050	530A₁⊕480A₂⊕1010E₁⊕1010E₂
(l=100)	201	-----	21A₁⊕20A₂⊕40E₁⊕40E₂	5.151	541A₁⊕490A₂⊕1030E₁⊕1030E₂
(l=101)	203	-----	21A₁⊕20A₂⊕41E₁⊕40E₂	5.253	551A₁⊕500A₂⊕1051E₁⊕1050E₂
(l=102)	205	-----	21A₁⊕20A₂⊕41E₁⊕41E₂	5.356	562A₁⊕510A₂⊕1071E₁⊕1071E₂
(l=103)	207	-----	21A₁⊕20A₂⊕41E₁⊕42E₂	5.460	572A₁⊕520A₂⊕1092E₁⊕1092E₂
(l=104)	209	-----	21A₁⊕20A₂⊕42E₁⊕42E₂	5.565	583A₁⊕530A₂⊕1113E₁⊕1113E₂
(l=105)	211	-----	22A₁⊕21A₂⊕42E₁⊕42E₂	5.671	594A₁⊕541A₂⊕1134E₁⊕1134E₂
(l=106)	213	-----	22A₁⊕21A₂⊕43E₁⊕42E₂	5.778	605A₁⊕551A₂⊕1156E₁⊕1155E₂
(l=107)	215	-----	22A₁⊕21A₂⊕43E₁⊕43E₂	5.886	616A₁⊕562A₂⊕1177E₁⊕1177E₂
(l=108)	217	-----	22A₁⊕21A₂⊕43E₁⊕44E₂	5.995	627A₁⊕572A₂⊕1199E₁⊕1199E₂
(l=109)	219	-----	22A₁⊕21A₂⊕44E₁⊕44E₂	6.105	638A₁⊕583A₂⊕1221E₁⊕1221E₂
(l=110)	221	-----	23A₁⊕22A₂⊕44E₁⊕44E₂	6.216	650A₁⊕594A₂⊕1243E₁⊕1243E₂
(l=111)	223	-----	23A₁⊕22A₂⊕45E₁⊕44E₂	6.328	661A₁⊕605A₂⊕1266E₁⊕1265E₂
(l=112)	225	-----	23A₁⊕22A₂⊕45E₁⊕45E₂	6.441	673A₁⊕616A₂⊕1288E₁⊕1288E₂
(l=113)	227	-----	23A₁⊕22A₂⊕45E₁⊕46E₂	6.555	684A₁⊕627A₂⊕1311E₁⊕1311E₂
(l=114)	229	-----	23A₁⊕22A₂⊕46E₁⊕46E₂	6.670	696A₁⊕638A₂⊕1334E₁⊕1334E₂
(l=115)	231	-----	24A₁⊕23A₂⊕46E₁⊕46E₂	6.786	708A₁⊕650A₂⊕1357E₁⊕1357E₂
(l=116)	233	-----	24A₁⊕23A₂⊕47E₁⊕46E₂	6.903	720A₁⊕661A₂⊕1381E₁⊕1380E₂
(l=117)	235	-----	24A₁⊕23A₂⊕47E₁⊕47E₂	7.021	732A₁⊕673A₂⊕1404E₁⊕1404E₂
(l=118)	237	-----	24A₁⊕23A₂⊕47E₁⊕48E₂	7.140	744A₁⊕684A₂⊕1428E₁⊕1428E₂
(l=119)	239	-----	24A₁⊕23A₂⊕48E₁⊕48E₂	7.260	756A₁⊕696A₂⊕1452E₁⊕1452E₂
(l=120)	241	-----	25A₁⊕24A₂⊕48E₁⊕48E₂	7.381	769A₁⊕708A₂⊕1476E₁⊕1476E₂
(l=121)	243	-----	25A₁⊕24A₂⊕49E₁⊕48E₂	7.503	781A₁⊕720A₂⊕1501E₁⊕1500E₂
(l=122)	245	-----	25A₁⊕24A₂⊕49E₁⊕49E₂	7.626	794A₁⊕732A₂⊕1525E₁⊕1525E₂
(l=123)	247	-----	25A₁⊕24A₂⊕49E₁⊕50E₂	7.750	806A₁⊕744A₂⊕1550E₁⊕1550E₂
(l=124)	249	-----	25A₁⊕24A₂⊕50E₁⊕50E₂	7.875	819A₁⊕756A₂⊕1575E₁⊕1575E₂
(l=125)	251	-----	26A₁⊕25A₂⊕50E₁⊕50E₂	8.001	832A₁⊕769A₂⊕1600E₁⊕1600E₂
(l=126)	253	-----	26A₁⊕25A₂⊕51E₁⊕50E₂	8.128	845A₁⊕781A₂⊕1626E₁⊕1625E₂
(l=127)	255	-----	26A₁⊕25A₂⊕51E₁⊕51E₂	8.256	858A₁⊕794A₂⊕1651E₁⊕1651E₂
(l=128)	257	-----	26A₁⊕25A₂⊕51E₁⊕52E₂	8.385	871A₁⊕806A₂⊕1677E₁⊕1677E₂
(l=129)	259	-----	26A₁⊕25A₂⊕52E₁⊕52E₂	8.515	884A₁⊕819A₂⊕1703E₁⊕1703E₂
(l=130)	261	-----	27A₁⊕26A₂⊕52E₁⊕52E₂	8.646	898A₁⊕832A₂⊕1729E₁⊕1729E₂
(l=131)	263	-----	27A₁⊕26A₂⊕53E₁⊕52E₂	8.778	911A₁⊕845A₂⊕1756E₁⊕1755E₂
(l=132)	265	-----	27A₁⊕26A₂⊕53E₁⊕53E₂	8.911	925A₁⊕858A₂⊕1782E₁⊕1782E₂
(l=133)	267	-----	27A₁⊕26A₂⊕53E₁⊕54E₂	9.045	938A₁⊕871A₂⊕1809E₁⊕1809E₂
(l=134)	269	-----	27A₁⊕26A₂⊕54E₁⊕54E₂	9.180	952A₁⊕884A₂⊕1836E₁⊕1836E₂
(l=135)	271	-----	28A₁⊕27A₂⊕54E₁⊕54E₂	9.316	966A₁⊕898A₂⊕1863E₁⊕1863E₂
(l=136)	273	-----	28A₁⊕27A₂⊕55E₁⊕54E₂	9.453	980A₁⊕911A₂⊕1891E₁⊕1890E₂
(l=137)	275	-----	28A₁⊕27A₂⊕55E₁⊕55E₂	9.591	994A₁⊕925A₂⊕1918E₁⊕1918E₂
(l=138)	277	-----	28A₁⊕27A₂⊕55E₁⊕56E₂	9.730	1008A₁⊕938A₂⊕1946E₁⊕1946E₂
(l=139)	279	-----	28A₁⊕27A₂⊕56E₁⊕56E₂	9.870	1022A₁⊕952A₂⊕1974E₁⊕1974E₂
(l=140)	281	-----	29A₁⊕28A₂⊕56E₁⊕56E₂	10.011	1037A₁⊕966A₂⊕2002E₁⊕2002E₂
(l=141)	283	-----	29A₁⊕28A₂⊕57E₁⊕56E₂	10.153	1051A₁⊕980A₂⊕2031E₁⊕2030E₂
(l=142)	285	-----	29A₁⊕28A₂⊕57E₁⊕57E₂	10.296	1066A₁⊕994A₂⊕2059E₁⊕2059E₂
(l=143)	287	-----	29A₁⊕28A₂⊕57E₁⊕58E₂	10.440	1080A₁⊕1008A₂⊕2088E₁⊕2088E₂
(l=144)	289	-----	29A₁⊕28A₂⊕58E₁⊕58E₂	10.585	1095A₁⊕1022A₂⊕2117E₁⊕2117E₂
(l=145)	291	-----	30A₁⊕29A₂⊕58E₁⊕58E₂	10.731	1110A₁⊕1037A₂⊕2146E₁⊕2146E₂
(l=146)	293	-----	30A₁⊕29A₂⊕59E₁⊕58E₂	10.878	1125A₁⊕1051A₂⊕2176E₁⊕2175E₂
(l=147)	295	-----	30A₁⊕29A₂⊕59E₁⊕59E₂	11.026	1140A₁⊕1066A₂⊕2205E₁⊕2205E₂
(l=148)	297	-----	30A₁⊕29A₂⊕59E₁⊕60E₂	11.175	1155A₁⊕1080A₂⊕2235E₁⊕2235E₂
(l=149)	299	-----	30A₁⊕29A₂⊕60E₁⊕60E₂	11.325	1170A₁⊕1095A₂⊕2265E₁⊕2265E₂
(l=150)	301	-----	31A₁⊕30A₂⊕60E₁⊕60E₂	11.476	1186A₁⊕1110A₂⊕2295E₁⊕2295E₂
(l=151)	303	-----	31A₁⊕30A₂⊕61E₁⊕60E₂	11.628	1201A₁⊕1125A₂⊕2326E₁⊕2325E₂
(l=152)	305	-----	31A₁⊕30A₂⊕61E₁⊕61E₂	11.781	1217A₁⊕1140A₂⊕2356E₁⊕2356E₂
(l=153)	307	-----	31A₁⊕30A₂⊕61E₁⊕62E₂	11.935	1232A₁⊕1155A₂⊕2387E₁⊕2387E₂
(l=154)	309	-----	31A₁⊕30A₂⊕62E₁⊕62E₂	12.090	1248A₁⊕1170A₂⊕2418E₁⊕2418E₂
(l=155)	311	-----	32A₁⊕31A₂⊕62E₁⊕62E₂	12.246	1264A₁⊕1186A₂⊕2449E₁⊕2449E₂
(l=156)	313	-----	32A₁⊕31A₂⊕63E₁⊕62E₂	12.403	1280A₁⊕1201A₂⊕2481E₁⊕2480E₂
(l=157)	315	-----	32A₁⊕31A₂⊕63E₁⊕63E₂	12.561	1296A₁⊕1217A₂⊕2512E₁⊕2512E₂
(l=158)	317	-----	32A₁⊕31A₂⊕63E₁⊕64E₂	12.720	1312A₁⊕1232A₂⊕2544E₁⊕2544E₂
(l=159)	319	-----	32A₁⊕31A₂⊕64E₁⊕64E₂	12.880	1328A₁⊕1248A₂⊕2576E₁⊕2576E₂
(l=160)	321	-----	33A₁⊕32A₂⊕64E₁⊕64E₂	13.041	1345A₁⊕1264A₂⊕2608E₁⊕2608E₂
(l=161)	323	-----	33A₁⊕32A₂⊕65E₁⊕64E₂	13.203	1361A₁⊕1280A₂⊕2641E₁⊕2640E₂
(l=162)	325	-----	33A₁⊕32A₂⊕65E₁⊕65E₂	13.366	1378A₁⊕1296A₂⊕2673E₁⊕2673E₂
(l=163)	327	-----	33A₁⊕32A₂⊕65E₁⊕66E₂	13.530	1394A₁⊕1312A₂⊕2706E₁⊕2706E₂
(l=164)	329	-----	33A₁⊕32A₂⊕66E₁⊕66E₂	13.695	1411A₁⊕1328A₂⊕2739E₁⊕2739E₂
(l=165)	331	-----	34A₁⊕33A₂⊕66E₁⊕66E₂	13.861	1428A₁⊕1345A₂⊕2772E₁⊕2772E₂
(l=166)	333	-----	34A₁⊕33A₂⊕67E₁⊕66E₂	14.028	1445A₁⊕1361A₂⊕2806E₁⊕2805E₂
(l=167)	335	-----	34A₁⊕33A₂⊕67E₁⊕67E₂	14.196	1462A₁⊕1378A₂⊕2839E₁⊕2839E₂
(l=168)	337	-----	34A₁⊕33A₂⊕67E₁⊕68E₂	14.365	1479A₁⊕1394A₂⊕2873E₁⊕2873E₂
(l=169)	339	-----	34A₁⊕33A₂⊕68E₁⊕68E₂	14.535	1496A₁⊕1411A₂⊕2907E₁⊕2907E₂
(l=170)	341	-----	35A₁⊕34A₂⊕68E₁⊕68E₂	14.706	1514A₁⊕1428A₂⊕2941E₁⊕2941E₂
(l=171)	343	-----	35A₁⊕34A₂⊕69E₁⊕68E₂	14.878	1531A₁⊕1445A₂⊕2976E₁⊕2975E₂
(l=172)	345	-----	35A₁⊕34A₂⊕69E₁⊕69E₂	15.051	1549A₁⊕1462A₂⊕3010E₁⊕3010E₂
(l=173)	347	-----	35A₁⊕34A₂⊕69E₁⊕70E₂	15.225	1566A₁⊕1479A₂⊕3045E₁⊕3045E₂
(l=174)	349	-----	35A₁⊕34A₂⊕70E₁⊕70E₂	15.400	1584A₁⊕1496A₂⊕3080E₁⊕3080E₂
(l=175)	351	-----	36A₁⊕35A₂⊕70E₁⊕70E₂	15.576	1602A₁⊕1514A₂⊕3115E₁⊕3115E₂
(l=176)	353	-----	36A₁⊕35A₂⊕71E₁⊕70E₂	15.753	1620A₁⊕1531A₂⊕3151E₁⊕3150E₂
(l=177)	355	-----	36A₁⊕35A₂⊕71E₁⊕71E₂	15.931	1638A₁⊕1549A₂⊕3186E₁⊕3186E₂
(l=178)	357	-----	36A₁⊕35A₂⊕71E₁⊕72E₂	16.110	1656A₁⊕1566A₂⊕3222E₁⊕3222E₂
(l=179)	359	-----	36A₁⊕35A₂⊕72E₁⊕72E₂	16.290	1674A₁⊕1584A₂⊕3258E₁⊕3258E₂
(l=180)	361	-----	37A₁⊕36A₂⊕72E₁⊕72E₂	16.471	1693A₁⊕1602A₂⊕3294E₁⊕3294E₂
(l=181)	363	-----	37A₁⊕36A₂⊕73E₁⊕72E₂	16.653	1711A₁⊕1620A₂⊕3331E₁⊕3330E₂
(l=182)	365	-----	37A₁⊕36A₂⊕73E₁⊕73E₂	16.836	1730A₁⊕1638A₂⊕3367E₁⊕3367E₂
(l=183)	367	-----	37A₁⊕36A₂⊕73E₁⊕74E₂	17.020	1748A₁⊕1656A₂⊕3404E₁⊕3404E₂
(l=184)	369	-----	37A₁⊕36A₂⊕74E₁⊕74E₂	17.205	1767A₁⊕1674A₂⊕3441E₁⊕3441E₂
(l=185)	371	-----	38A₁⊕37A₂⊕74E₁⊕74E₂	17.391	1786A₁⊕1693A₂⊕3478E₁⊕3478E₂
(l=186)	373	-----	38A₁⊕37A₂⊕75E₁⊕74E₂	17.578	1805A₁⊕1711A₂⊕3516E₁⊕3515E₂
(l=187)	375	-----	38A₁⊕37A₂⊕75E₁⊕75E₂	17.766	1824A₁⊕1730A₂⊕3553E₁⊕3553E₂
(l=188)	377	-----	38A₁⊕37A₂⊕75E₁⊕76E₂	17.955	1843A₁⊕1748A₂⊕3591E₁⊕3591E₂
(l=189)	379	-----	38A₁⊕37A₂⊕76E₁⊕76E₂	18.145	1862A₁⊕1767A₂⊕3629E₁⊕3629E₂
(l=190)	381	-----	39A₁⊕38A₂⊕76E₁⊕76E₂	18.336	1882A₁⊕1786A₂⊕3667E₁⊕3667E₂
(l=191)	383	-----	39A₁⊕38A₂⊕77E₁⊕76E₂	18.528	1901A₁⊕1805A₂⊕3706E₁⊕3705E₂
(l=192)	385	-----	39A₁⊕38A₂⊕77E₁⊕77E₂	18.721	1921A₁⊕1824A₂⊕3744E₁⊕3744E₂
(l=193)	387	-----	39A₁⊕38A₂⊕77E₁⊕78E₂	18.915	1940A₁⊕1843A₂⊕3783E₁⊕3783E₂
(l=194)	389	-----	39A₁⊕38A₂⊕78E₁⊕78E₂	19.110	1960A₁⊕1862A₂⊕3822E₁⊕3822E₂
(l=195)	391	-----	40A₁⊕39A₂⊕78E₁⊕78E₂	19.306	1980A₁⊕1882A₂⊕3861E₁⊕3861E₂
(l=196)	393	-----	40A₁⊕39A₂⊕79E₁⊕78E₂	19.503	2000A₁⊕1901A₂⊕3901E₁⊕3900E₂
(l=197)	395	-----	40A₁⊕39A₂⊕79E₁⊕79E₂	19.701	2020A₁⊕1921A₂⊕3940E₁⊕3940E₂
(l=198)	397	-----	40A₁⊕39A₂⊕79E₁⊕80E₂	19.900	2040A₁⊕1940A₂⊕3980E₁⊕3980E₂
(l=199)	399	-----	40A₁⊕39A₂⊕80E₁⊕80E₂	20.100	2060A₁⊕1960A₂⊕4020E₁⊕4020E₂
(l=200)	401	-----	41A₁⊕40A₂⊕80E₁⊕80E₂	20.301	2081A₁⊕1980A₂⊕4060E₁⊕4060E₂
(l=201)	403	-----	41A₁⊕40A₂⊕81E₁⊕80E₂	20.503	2101A₁⊕2000A₂⊕4101E₁⊕4100E₂
(l=202)	405	-----	41A₁⊕40A₂⊕81E₁⊕81E₂	20.706	2122A₁⊕2020A₂⊕4141E₁⊕4141E₂
(l=203)	407	-----	41A₁⊕40A₂⊕81E₁⊕82E₂	20.910	2142A₁⊕2040A₂⊕4182E₁⊕4182E₂
(l=204)	409	-----	41A₁⊕40A₂⊕82E₁⊕82E₂	21.115	2163A₁⊕2060A₂⊕4223E₁⊕4223E₂
(l=205)	411	-----	42A₁⊕41A₂⊕82E₁⊕82E₂	21.321	2184A₁⊕2081A₂⊕4264E₁⊕4264E₂
(l=206)	413	-----	42A₁⊕41A₂⊕83E₁⊕82E₂	21.528	2205A₁⊕2101A₂⊕4306E₁⊕4305E₂
(l=207)	415	-----	42A₁⊕41A₂⊕83E₁⊕83E₂	21.736	2226A₁⊕2122A₂⊕4347E₁⊕4347E₂
(l=208)	417	-----	42A₁⊕41A₂⊕83E₁⊕84E₂	21.945	2247A₁⊕2142A₂⊕4389E₁⊕4389E₂
(l=209)	419	-----	42A₁⊕41A₂⊕84E₁⊕84E₂	22.155	2268A₁⊕2163A₂⊕4431E₁⊕4431E₂
(l=210)	421	-----	43A₁⊕42A₂⊕84E₁⊕84E₂	22.366	2290A₁⊕2184A₂⊕4473E₁⊕4473E₂
(l=211)	423	-----	43A₁⊕42A₂⊕85E₁⊕84E₂	22.578	2311A₁⊕2205A₂⊕4516E₁⊕4515E₂
(l=212)	425	-----	43A₁⊕42A₂⊕85E₁⊕85E₂	22.791	2333A₁⊕2226A₂⊕4558E₁⊕4558E₂
(l=213)	427	-----	43A₁⊕42A₂⊕85E₁⊕86E₂	23.005	2354A₁⊕2247A₂⊕4601E₁⊕4601E₂
(l=214)	429	-----	43A₁⊕42A₂⊕86E₁⊕86E₂	23.220	2376A₁⊕2268A₂⊕4644E₁⊕4644E₂
(l=215)	431	-----	44A₁⊕43A₂⊕86E₁⊕86E₂	23.436	2398A₁⊕2290A₂⊕4687E₁⊕4687E₂
(l=216)	433	-----	44A₁⊕43A₂⊕87E₁⊕86E₂	23.653	2420A₁⊕2311A₂⊕4731E₁⊕4730E₂
(l=217)	435	-----	44A₁⊕43A₂⊕87E₁⊕87E₂	23.871	2442A₁⊕2333A₂⊕4774E₁⊕4774E₂
(l=218)	437	-----	44A₁⊕43A₂⊕87E₁⊕88E₂	24.090	2464A₁⊕2354A₂⊕4818E₁⊕4818E₂
(l=219)	439	-----	44A₁⊕43A₂⊕88E₁⊕88E₂	24.310	2486A₁⊕2376A₂⊕4862E₁⊕4862E₂
(l=220)	441	-----	45A₁⊕44A₂⊕88E₁⊕88E₂	24.531	2509A₁⊕2398A₂⊕4906E₁⊕4906E₂
(l=221)	443	-----	45A₁⊕44A₂⊕89E₁⊕88E₂	24.753	2531A₁⊕2420A₂⊕4951E₁⊕4950E₂
(l=222)	445	-----	45A₁⊕44A₂⊕89E₁⊕89E₂	24.976	2554A₁⊕2442A₂⊕4995E₁⊕4995E₂
(l=223)	447	-----	45A₁⊕44A₂⊕89E₁⊕90E₂	25.200	2576A₁⊕2464A₂⊕5040E₁⊕5040E₂
(l=224)	449	-----	45A₁⊕44A₂⊕90E₁⊕90E₂	25.425	2599A₁⊕2486A₂⊕5085E₁⊕5085E₂
(l=225)	451	-----	46A₁⊕45A₂⊕90E₁⊕90E₂	25.651	2622A₁⊕2509A₂⊕5130E₁⊕5130E₂
(l=226)	453	-----	46A₁⊕45A₂⊕91E₁⊕90E₂	25.878	2645A₁⊕2531A₂⊕5176E₁⊕5175E₂
(l=227)	455	-----	46A₁⊕45A₂⊕91E₁⊕91E₂	26.106	2668A₁⊕2554A₂⊕5221E₁⊕5221E₂
(l=228)	457	-----	46A₁⊕45A₂⊕91E₁⊕92E₂	26.335	2691A₁⊕2576A₂⊕5267E₁⊕5267E₂
(l=229)	459	-----	46A₁⊕45A₂⊕92E₁⊕92E₂	26.565	2714A₁⊕2599A₂⊕5313E₁⊕5313E₂
(l=230)	461	-----	47A₁⊕46A₂⊕92E₁⊕92E₂	26.796	2738A₁⊕2622A₂⊕5359E₁⊕5359E₂
(l=231)	463	-----	47A₁⊕46A₂⊕93E₁⊕92E₂	27.028	2761A₁⊕2645A₂⊕5406E₁⊕5405E₂
(l=232)	465	-----	47A₁⊕46A₂⊕93E₁⊕93E₂	27.261	2785A₁⊕2668A₂⊕5452E₁⊕5452E₂
(l=233)	467	-----	47A₁⊕46A₂⊕93E₁⊕94E₂	27.495	2808A₁⊕2691A₂⊕5499E₁⊕5499E₂
(l=234)	469	-----	47A₁⊕46A₂⊕94E₁⊕94E₂	27.730	2832A₁⊕2714A₂⊕5546E₁⊕5546E₂
(l=235)	471	-----	48A₁⊕47A₂⊕94E₁⊕94E₂	27.966	2856A₁⊕2738A₂⊕5593E₁⊕5593E₂
(l=236)	473	-----	48A₁⊕47A₂⊕95E₁⊕94E₂	28.203	2880A₁⊕2761A₂⊕5641E₁⊕5640E₂
(l=237)	475	-----	48A₁⊕47A₂⊕95E₁⊕95E₂	28.441	2904A₁⊕2785A₂⊕5688E₁⊕5688E₂
(l=238)	477	-----	48A₁⊕47A₂⊕95E₁⊕96E₂	28.680	2928A₁⊕2808A₂⊕5736E₁⊕5736E₂
(l=239)	479	-----	48A₁⊕47A₂⊕96E₁⊕96E₂	28.920	2952A₁⊕2832A₂⊕5784E₁⊕5784E₂
(l=240)	481	-----	49A₁⊕48A₂⊕96E₁⊕96E₂	29.161	2977A₁⊕2856A₂⊕5832E₁⊕5832E₂
(l=241)	483	-----	49A₁⊕48A₂⊕97E₁⊕96E₂	29.403	3001A₁⊕2880A₂⊕5881E₁⊕5880E₂
(l=242)	485	-----	49A₁⊕48A₂⊕97E₁⊕97E₂	29.646	3026A₁⊕2904A₂⊕5929E₁⊕5929E₂
(l=243)	487	-----	49A₁⊕48A₂⊕97E₁⊕98E₂	29.890	3050A₁⊕2928A₂⊕5978E₁⊕5978E₂
(l=244)	489	-----	49A₁⊕48A₂⊕98E₁⊕98E₂	30.135	3075A₁⊕2952A₂⊕6027E₁⊕6027E₂
(l=245)	491	-----	50A₁⊕49A₂⊕98E₁⊕98E₂	30.381	3100A₁⊕2977A₂⊕6076E₁⊕6076E₂
(l=246)	493	-----	50A₁⊕49A₂⊕99E₁⊕98E₂	30.628	3125A₁⊕3001A₂⊕6126E₁⊕6125E₂
(l=247)	495	-----	50A₁⊕49A₂⊕99E₁⊕99E₂	30.876	3150A₁⊕3026A₂⊕6175E₁⊕6175E₂
(l=248)	497	-----	50A₁⊕49A₂⊕99E₁⊕100E₂	31.125	3175A₁⊕3050A₂⊕6225E₁⊕6225E₂
(l=249)	499	-----	50A₁⊕49A₂⊕100E₁⊕100E₂	31.375	3200A₁⊕3075A₂⊕6275E₁⊕6275E₂
(l=250)	501	-----	51A₁⊕50A₂⊕100E₁⊕100E₂	31.626	3226A₁⊕3100A₂⊕6325E₁⊕6325E₂
(l=251)	503	-----	51A₁⊕50A₂⊕101E₁⊕100E₂	31.878	3251A₁⊕3125A₂⊕6376E₁⊕6375E₂
(l=252)	505	-----	51A₁⊕50A₂⊕101E₁⊕101E₂	32.131	3277A₁⊕3150A₂⊕6426E₁⊕6426E₂
(l=253)	507	-----	51A₁⊕50A₂⊕101E₁⊕102E₂	32.385	3302A₁⊕3175A₂⊕6477E₁⊕6477E₂
(l=254)	509	-----	51A₁⊕50A₂⊕102E₁⊕102E₂	32.640	3328A₁⊕3200A₂⊕6528E₁⊕6528E₂
(l=255)	511	-----	52A₁⊕51A₂⊕102E₁⊕102E₂	32.896	3354A₁⊕3226A₂⊕6579E₁⊕6579E₂
(l=256)	513	-----	52A₁⊕51A₂⊕103E₁⊕102E₂	33.153	3380A₁⊕3251A₂⊕6631E₁⊕6630E₂

Point Group C_5v

Spherical harmonics and Multipoles
Symmetric Powers of Γ_xyz

Point Group C5v

Spherical harmonics and MultipolesSymmetric Powers of Γxyz

Point Group C_5v

Spherical harmonics and Multipoles
Symmetric Powers of Γ_xyz