LMFDB - Embedded newform 243.3.f.a.107.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [243,3,Mod(26,243)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(243, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 3, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("243.26");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 243 = 3^{5} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	243.f (of order $18$, degree $6$, not minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$6.62127042396$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$5$ over $\Q(\zeta_{18})$
Twist minimal:	no (minimal twist has level 27)
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			107.4
Character	$\chi$	$=$	243.107
Dual form			243.3.f.a.134.4

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.746252 - 0.889349i) q^{2} +(0.460544 + 2.61187i) q^{4} +(1.84110 - 5.05837i) q^{5} +(-1.82927 + 10.3743i) q^{7} +(6.68824 + 3.86146i) q^{8} +(-3.12473 - 5.41219i) q^{10} +(4.01667 + 11.0357i) q^{11} +(8.60488 - 7.22035i) q^{13} +(7.86129 + 9.36873i) q^{14} +(-1.54359 + 0.561820i) q^{16} +(-2.73630 + 1.57980i) q^{17} +(2.26051 - 3.91532i) q^{19} +(14.0597 + 2.47911i) q^{20} +(12.8121 + 4.66321i) q^{22} +(19.6052 - 3.45692i) q^{23} +(-3.04634 - 2.55619i) q^{25} -13.0409i q^{26} -27.9389 q^{28} +(16.3009 - 19.4267i) q^{29} +(3.84135 + 21.7854i) q^{31} +(-11.2178 + 30.8207i) q^{32} +(-0.636973 + 3.61245i) q^{34} +(49.1093 + 28.3533i) q^{35} +(-8.82807 - 15.2907i) q^{37} +(-1.79517 - 4.93220i) q^{38} +(31.8464 - 26.7223i) q^{40} +(-7.99934 - 9.53324i) q^{41} +(-34.2503 + 12.4661i) q^{43} +(-26.9741 + 15.5735i) q^{44} +(11.5560 - 20.0156i) q^{46} +(-12.2112 - 2.15316i) q^{47} +(-58.2355 - 21.1960i) q^{49} +(-4.54668 + 0.801703i) q^{50} +(22.8216 + 19.1496i) q^{52} -84.6210i q^{53} +63.2178 q^{55} +(-52.2946 + 62.3223i) q^{56} +(-5.11249 - 28.9944i) q^{58} +(23.3509 - 64.1562i) q^{59} +(13.5571 - 76.8859i) q^{61} +(22.2414 + 12.8411i) q^{62} +(15.7537 + 27.2863i) q^{64} +(-20.6808 - 56.8200i) q^{65} +(-74.4011 + 62.4300i) q^{67} +(-5.38643 - 6.41930i) q^{68} +(61.8639 - 22.5166i) q^{70} +(-105.364 + 60.8322i) q^{71} +(-45.5705 + 78.9304i) q^{73} +(-20.1867 - 3.55946i) q^{74} +(11.2674 + 4.10099i) q^{76} +(-121.836 + 21.4829i) q^{77} +(-15.6180 - 13.1051i) q^{79} +8.84240i q^{80} -14.4479 q^{82} +(20.3134 - 24.2086i) q^{83} +(2.95344 + 16.7498i) q^{85} +(-14.4727 + 39.7634i) q^{86} +(-15.7495 + 89.3198i) q^{88} +(-59.7756 - 34.5114i) q^{89} +(59.1656 + 102.478i) q^{91} +(18.0581 + 49.6142i) q^{92} +(-11.0276 + 9.25321i) q^{94} +(-15.6433 - 18.6430i) q^{95} +(74.9914 - 27.2946i) q^{97} +(-62.3089 + 35.9741i) q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 3 q^{2} + 3 q^{4} - 21 q^{5} + 3 q^{7} + 9 q^{8} - 3 q^{10} - 57 q^{11} + 3 q^{13} + 114 q^{14} + 27 q^{16} + 9 q^{17} - 3 q^{19} + 183 q^{20} + 75 q^{22} - 48 q^{23} + 21 q^{25} - 12 q^{28} + 78 q^{29}+ \cdots - 882 q^{98}+O(q^{100}) $ 30 * q - 3 * q^2 + 3 * q^4 - 21 * q^5 + 3 * q^7 + 9 * q^8 - 3 * q^10 - 57 * q^11 + 3 * q^13 + 114 * q^14 + 27 * q^16 + 9 * q^17 - 3 * q^19 + 183 * q^20 + 75 * q^22 - 48 * q^23 + 21 * q^25 - 12 * q^28 + 78 * q^29 - 87 * q^31 - 243 * q^32 - 153 * q^34 + 252 * q^35 - 3 * q^37 - 321 * q^38 - 168 * q^40 + 357 * q^41 - 87 * q^43 - 639 * q^44 - 3 * q^46 + 51 * q^47 - 69 * q^49 - 168 * q^50 - 36 * q^52 - 12 * q^55 + 177 * q^56 + 138 * q^58 - 48 * q^59 + 147 * q^61 + 900 * q^62 - 51 * q^64 - 624 * q^65 + 12 * q^67 + 477 * q^68 - 6 * q^70 - 315 * q^71 - 66 * q^73 + 480 * q^74 - 57 * q^76 - 453 * q^77 - 15 * q^79 - 12 * q^82 + 591 * q^83 + 243 * q^85 - 669 * q^86 + 591 * q^88 - 72 * q^89 + 96 * q^91 - 564 * q^92 + 957 * q^94 + 606 * q^95 + 696 * q^97 - 882 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/243\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{13}{18}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.746252	−	0.889349i	0.373126	−	0.444674i	−0.546506	−	0.837455i	$-0.684042\pi$
$2$	0.746252	−	0.889349i	0.373126	−	0.444674i	0.919632	+	0.392781i	$0.128487\pi$
$3$		0			0
$3$		0			0
$4$	0.460544	+	2.61187i	0.115136	+	0.652969i
$5$	1.84110	−	5.05837i	0.368219	−	1.01167i	−0.607819	−	0.794075i	$-0.707956\pi$
$5$	1.84110	−	5.05837i	0.368219	−	1.01167i	0.976038	−	0.217598i	$-0.0698223\pi$
$6$		0			0
$7$	−1.82927	+	10.3743i	−0.261325	+	1.48205i	0.517975	+	0.855396i	$0.326686\pi$
$7$	−1.82927	+	10.3743i	−0.261325	+	1.48205i	−0.779300	+	0.626651i	$0.784425\pi$
$8$	6.68824	+	3.86146i	0.836030	+	0.482682i
$9$		0			0
$10$	−3.12473	−	5.41219i	−0.312473	−	0.541219i
$11$	4.01667	+	11.0357i	0.365152	+	1.00325i	0.977180	+	0.212412i	$0.0681317\pi$
$11$	4.01667	+	11.0357i	0.365152	+	1.00325i	−0.612028	+	0.790836i	$0.709646\pi$
$12$		0			0
$13$	8.60488	−	7.22035i	0.661914	−	0.555412i	−0.248746	−	0.968569i	$-0.580018\pi$
$13$	8.60488	−	7.22035i	0.661914	−	0.555412i	0.910660	+	0.413157i	$0.135574\pi$
$14$	7.86129	+	9.36873i	0.561521	+	0.669195i
$15$		0			0
$16$	−1.54359	+	0.561820i	−0.0964742	+	0.0351138i
$17$	−2.73630	+	1.57980i	−0.160959	+	0.0929296i	−0.578316	−	0.815813i	$-0.696290\pi$
$17$	−2.73630	+	1.57980i	−0.160959	+	0.0929296i	0.417357	+	0.908743i	$0.362956\pi$
$18$		0			0
$19$	2.26051	−	3.91532i	0.118974	−	0.206069i	−0.800387	−	0.599483i	$-0.795373\pi$
$19$	2.26051	−	3.91532i	0.118974	−	0.206069i	0.919361	+	0.393414i	$0.128706\pi$
$20$	14.0597	+	2.47911i	0.702986	+	0.123955i
$21$		0			0
$22$	12.8121	+	4.66321i	0.582366	+	0.211964i
$23$	19.6052	−	3.45692i	0.852399	−	0.150301i	0.269655	−	0.962957i	$-0.413090\pi$
$23$	19.6052	−	3.45692i	0.852399	−	0.150301i	0.582744	+	0.812656i	$0.301979\pi$
$24$		0			0
$25$	−3.04634	−	2.55619i	−0.121854	−	0.102247i
$26$		−	13.0409i		−	0.501575i
$27$		0			0
$28$	−27.9389			−0.997818
$29$	16.3009	−	19.4267i	0.562100	−	0.669885i	−0.407890	−	0.913031i	$-0.633735\pi$
$29$	16.3009	−	19.4267i	0.562100	−	0.669885i	0.969990	+	0.243147i	$0.0781796\pi$
$30$		0			0
$31$	3.84135	+	21.7854i	0.123915	+	0.702754i	0.981947	+	0.189158i	$0.0605759\pi$
$31$	3.84135	+	21.7854i	0.123915	+	0.702754i	−0.858032	+	0.513596i	$0.828313\pi$
$32$	−11.2178	+	30.8207i	−0.350557	+	0.963147i
$33$		0			0
$34$	−0.636973	+	3.61245i	−0.0187345	+	0.106249i
$35$	49.1093	+	28.3533i	1.40312	+	0.810093i
$36$		0			0
$37$	−8.82807	−	15.2907i	−0.238596	−	0.413261i	0.721715	−	0.692190i	$-0.243354\pi$
$37$	−8.82807	−	15.2907i	−0.238596	−	0.413261i	−0.960312	+	0.278929i	$0.910021\pi$
$38$	−1.79517	−	4.93220i	−0.0472414	−	0.129795i
$39$		0			0
$40$	31.8464	−	26.7223i	0.796159	−	0.668057i
$41$	−7.99934	−	9.53324i	−0.195106	−	0.232518i	0.659618	−	0.751601i	$-0.270718\pi$
$41$	−7.99934	−	9.53324i	−0.195106	−	0.232518i	−0.854724	+	0.519083i	$0.826274\pi$
$42$		0			0
$43$	−34.2503	+	12.4661i	−0.796520	+	0.289909i	−0.708043	−	0.706169i	$-0.750422\pi$
$43$	−34.2503	+	12.4661i	−0.796520	+	0.289909i	−0.0884761	+	0.996078i	$0.528200\pi$
$44$	−26.9741	+	15.5735i	−0.613047	+	0.353943i
$45$		0			0
$46$	11.5560	−	20.0156i	0.251217	−	0.435121i
$47$	−12.2112	−	2.15316i	−0.259813	−	0.0458120i	0.0422244	−	0.999108i	$-0.486556\pi$
$47$	−12.2112	−	2.15316i	−0.259813	−	0.0458120i	−0.302037	+	0.953296i	$0.597667\pi$
$48$		0			0
$49$	−58.2355	−	21.1960i	−1.18848	−	0.432571i
$50$	−4.54668	+	0.801703i	−0.0909336	+	0.0160341i
$51$		0			0
$52$	22.8216	+	19.1496i	0.438876	+	0.368261i
$53$		−	84.6210i		−	1.59662i	−0.602245	−	0.798311i	$-0.705727\pi$
$53$		−	84.6210i		−	1.59662i	0.602245	−	0.798311i	$-0.294273\pi$
$54$		0			0
$55$	63.2178			1.14942
$56$	−52.2946	+	62.3223i	−0.933833	+	1.11290i
$57$		0			0
$58$	−5.11249	−	28.9944i	−0.0881464	−	0.499903i
$59$	23.3509	−	64.1562i	0.395779	−	1.08739i	−0.568542	−	0.822654i	$-0.692492\pi$
$59$	23.3509	−	64.1562i	0.395779	−	1.08739i	0.964320	−	0.264738i	$-0.0852856\pi$
$60$		0			0
$61$	13.5571	−	76.8859i	0.222247	−	1.26043i	−0.645632	−	0.763649i	$-0.723406\pi$
$61$	13.5571	−	76.8859i	0.222247	−	1.26043i	0.867879	−	0.496776i	$-0.165483\pi$
$62$	22.2414	+	12.8411i	0.358733	+	0.207114i
$63$		0			0
$64$	15.7537	+	27.2863i	0.246152	+	0.426348i
$65$	−20.6808	−	56.8200i	−0.318166	−	0.874154i
$66$		0			0
$67$	−74.4011	+	62.4300i	−1.11046	+	0.931791i	−0.998084	−	0.0618745i	$-0.980292\pi$
$67$	−74.4011	+	62.4300i	−1.11046	+	0.931791i	−0.112381	+	0.993665i	$0.535848\pi$
$68$	−5.38643	−	6.41930i	−0.0792122	−	0.0944014i
$69$		0			0
$70$	61.8639	−	22.5166i	0.883769	−	0.321666i
$71$	−105.364	+	60.8322i	−1.48401	+	0.856791i	−0.999835	−	0.0181820i	$-0.994212\pi$
$71$	−105.364	+	60.8322i	−1.48401	+	0.856791i	−0.484171	+	0.874973i	$0.660879\pi$
$72$		0			0
$73$	−45.5705	+	78.9304i	−0.624254	+	1.08124i	0.364431	+	0.931230i	$0.381263\pi$
$73$	−45.5705	+	78.9304i	−0.624254	+	1.08124i	−0.988685	+	0.150009i	$0.952070\pi$
$74$	−20.1867	−	3.55946i	−0.272793	−	0.0481008i
$75$		0			0
$76$	11.2674	+	4.10099i	0.148255	+	0.0539604i
$77$	−121.836	+	21.4829i	−1.58228	+	0.278999i
$78$		0			0
$79$	−15.6180	−	13.1051i	−0.197696	−	0.165887i	0.538566	−	0.842584i	$-0.318966\pi$
$79$	−15.6180	−	13.1051i	−0.197696	−	0.165887i	−0.736262	+	0.676697i	$0.763411\pi$
$80$			8.84240i			0.110530i
$81$		0			0
$82$	−14.4479			−0.176194
$83$	20.3134	−	24.2086i	0.244740	−	0.291669i	−0.629665	−	0.776867i	$-0.716808\pi$
$83$	20.3134	−	24.2086i	0.244740	−	0.291669i	0.874405	+	0.485197i	$0.161252\pi$
$84$		0			0
$85$	2.95344	+	16.7498i	0.0347463	+	0.197056i
$86$	−14.4727	+	39.7634i	−0.168287	+	0.462365i
$87$		0			0
$88$	−15.7495	+	89.3198i	−0.178971	+	1.01500i
$89$	−59.7756	−	34.5114i	−0.671636	−	0.387769i	0.125060	−	0.992149i	$-0.460088\pi$
$89$	−59.7756	−	34.5114i	−0.671636	−	0.387769i	−0.796696	+	0.604380i	$0.793421\pi$
$90$		0			0
$91$	59.1656	+	102.478i	0.650171	+	1.12613i
$92$	18.0581	+	49.6142i	0.196283	+	0.539284i
$93$		0			0
$94$	−11.0276	+	9.25321i	−0.117314	+	0.0984384i
$95$	−15.6433	−	18.6430i	−0.164666	−	0.196242i
$96$		0			0
$97$	74.9914	−	27.2946i	0.773107	−	0.281388i	0.0748118	−	0.997198i	$-0.476164\pi$
$97$	74.9914	−	27.2946i	0.773107	−	0.281388i	0.698295	+	0.715810i	$0.253942\pi$
$98$	−62.3089	+	35.9741i	−0.635806	+	0.367083i
$99$		0			0
$100$	5.27346	−	9.13390i	0.0527346	−	0.0913390i
$101$	−4.70412	−	0.829463i	−0.0465754	−	0.00821250i	0.150312	−	0.988639i	$-0.451972\pi$
$101$	−4.70412	−	0.829463i	−0.0465754	−	0.00821250i	−0.196887	+	0.980426i	$0.563083\pi$
$102$		0			0
$103$	67.9330	+	24.7256i	0.659544	+	0.240054i	0.650039	−	0.759901i	$-0.274752\pi$
$103$	67.9330	+	24.7256i	0.659544	+	0.240054i	0.00950434	+	0.999955i	$0.496975\pi$
$104$	85.4326	−	15.0641i	0.821467	−	0.144847i
$105$		0			0
$106$	−75.2576	−	63.1486i	−0.709977	−	0.595742i
$107$		−	158.133i		−	1.47788i	−0.673773	−	0.738938i	$-0.735328\pi$
$107$		−	158.133i		−	1.47788i	0.673773	−	0.738938i	$-0.264672\pi$
$108$		0			0
$109$	−18.5788			−0.170448			−0.0852240	−	0.996362i	$-0.527161\pi$
$109$	−18.5788			−0.170448			−0.0852240	+	0.996362i	$0.527161\pi$
$110$	47.1764	−	56.2227i	0.428877	−	0.511115i
$111$		0			0
$112$	−3.00486	−	17.0414i	−0.0268291	−	0.152155i
$113$	6.16189	−	16.9296i	0.0545300	−	0.149820i	−0.909437	−	0.415842i	$-0.863487\pi$
$113$	6.16189	−	16.9296i	0.0545300	−	0.149820i	0.963967	+	0.266022i	$0.0857093\pi$
$114$		0			0
$115$	18.6086	−	105.535i	0.161814	−	0.917693i
$116$	58.2473	+	33.6291i	0.502131	+	0.289906i
$117$		0			0
$118$	−39.6315	−	68.6438i	−0.335860	−	0.581727i
$119$	−11.3839	−	31.2771i	−0.0956634	−	0.262833i
$120$		0			0
$121$	−12.9621	+	10.8765i	−0.107125	+	0.0898886i
$122$	−58.2614	−	69.4333i	−0.477553	−	0.569125i
$123$		0			0
$124$	−55.1316	+	20.0662i	−0.444609	+	0.161825i
$125$	98.0067	−	56.5842i	0.784054	−	0.452674i
$126$		0			0
$127$	78.1067	−	135.285i	0.615013	−	1.06523i	−0.375369	−	0.926876i	$-0.622484\pi$
$127$	78.1067	−	135.285i	0.615013	−	1.06523i	0.990382	−	0.138359i	$-0.0441827\pi$
$128$	−93.1785	−	16.4299i	−0.727957	−	0.128358i
$129$		0			0
$130$	−65.9659	−	24.0096i	−0.507430	−	0.184689i
$131$	97.0223	−	17.1076i	0.740628	−	0.130593i	0.209410	−	0.977828i	$-0.432846\pi$
$131$	97.0223	−	17.1076i	0.740628	−	0.130593i	0.531218	+	0.847235i	$0.321735\pi$
$132$		0			0
$133$	36.4837	+	30.6134i	0.274313	+	0.230176i
$134$			112.757i			0.841471i
$135$		0			0
$136$	−24.4014			−0.179422
$137$	−42.2031	+	50.2957i	−0.308052	+	0.367122i	−0.897753	−	0.440500i	$-0.854801\pi$
$137$	−42.2031	+	50.2957i	−0.308052	+	0.367122i	0.589701	+	0.807622i	$0.299246\pi$
$138$		0			0
$139$	−21.7582	−	123.397i	−0.156534	−	0.887749i	−0.957370	−	0.288865i	$-0.906722\pi$
$139$	−21.7582	−	123.397i	−0.156534	−	0.887749i	0.800836	−	0.598884i	$-0.204389\pi$
$140$	−51.4382	+	141.325i	−0.367415	+	1.00947i
$141$		0			0
$142$	−24.5274	+	139.102i	−0.172728	+	0.979591i
$143$	114.245	+	65.9593i	0.798915	+	0.461254i
$144$		0			0
$145$	−68.2557	−	118.222i	−0.470729	−	0.815326i
$146$	36.1896	+	99.4301i	0.247874	+	0.681028i
$147$		0			0
$148$	35.8716	−	30.0998i	0.242375	−	0.203377i
$149$	129.687	+	154.554i	0.870380	+	1.03728i	0.998961	+	0.0455791i	$0.0145133\pi$
$149$	129.687	+	154.554i	0.870380	+	1.03728i	−0.128581	+	0.991699i	$0.541042\pi$
$150$		0			0
$151$	−120.413	+	43.8266i	−0.797435	+	0.290243i	−0.708423	−	0.705788i	$-0.750593\pi$
$151$	−120.413	+	43.8266i	−0.797435	+	0.290243i	−0.0890119	+	0.996031i	$0.528371\pi$
$152$	30.2377	−	17.4577i	0.198932	−	0.114853i
$153$		0			0
$154$	−71.8144	+	124.386i	−0.466327	+	0.807703i
$155$	117.271	+	20.6780i	0.756586	+	0.133406i
$156$		0			0
$157$	130.567	+	47.5224i	0.831635	+	0.302690i	0.722530	−	0.691340i	$-0.242979\pi$
$157$	130.567	+	47.5224i	0.831635	+	0.302690i	0.109105	+	0.994030i	$0.465201\pi$
$158$	−23.3100	+	4.11018i	−0.147531	+	0.0260138i
$159$		0			0
$160$	135.249	+	113.488i	0.845309	+	0.709298i
$161$			209.714i			1.30257i
$162$		0			0
$163$	39.8569			0.244521			0.122261	−	0.992498i	$-0.460986\pi$
$163$	39.8569			0.244521			0.122261	+	0.992498i	$0.460986\pi$
$164$	21.2156	−	25.2837i	0.129363	−	0.154169i
$165$		0			0
$166$	−6.37094	−	36.1314i	−0.0383791	−	0.217659i
$167$	56.7592	−	155.945i	0.339876	−	0.933801i	−0.645554	−	0.763715i	$-0.723373\pi$
$167$	56.7592	−	155.945i	0.339876	−	0.933801i	0.985429	−	0.170086i	$-0.0544044\pi$
$168$		0			0
$169$	−7.43607	+	42.1720i	−0.0440004	+	0.249539i
$170$	17.1004	+	9.87292i	0.100591	+	0.0580760i
$171$		0			0
$172$	−48.3337	−	83.7164i	−0.281010	−	0.486723i
$173$	3.72465	+	10.2334i	0.0215298	+	0.0591526i	0.949992	−	0.312274i	$-0.101091\pi$
$173$	3.72465	+	10.2334i	0.0215298	+	0.0591526i	−0.928462	+	0.371427i	$0.878869\pi$
$174$		0			0
$175$	32.0913	−	26.9278i	0.183379	−	0.153873i
$176$	−12.4002	−	14.7780i	−0.0704556	−	0.0839657i
$177$		0			0
$178$	−75.3004	+	27.4071i	−0.423036	+	0.153972i
$179$	244.720	−	141.289i	1.36715	−	0.789326i	0.376590	−	0.926380i	$-0.377097\pi$
$179$	244.720	−	141.289i	1.36715	−	0.789326i	0.990564	+	0.137054i	$0.0437633\pi$
$180$		0			0
$181$	54.3996	−	94.2228i	0.300550	−	0.520568i	−0.675711	−	0.737167i	$-0.736163\pi$
$181$	54.3996	−	94.2228i	0.300550	−	0.520568i	0.976261	+	0.216599i	$0.0694964\pi$
$182$	135.291	+	23.8554i	0.743357	+	0.131074i
$183$		0			0
$184$	144.473	+	52.5838i	0.785178	+	0.285782i
$185$	−93.5991	+	16.5040i	−0.505941	+	0.0892110i
$186$		0			0
$187$	−28.4251	−	23.8515i	−0.152006	−	0.127548i
$188$		−	32.8857i		−	0.174924i
$189$		0			0
$190$	−28.2539			−0.148705
$191$	69.8256	−	83.2149i	0.365579	−	0.435680i	−0.551629	−	0.834090i	$-0.685993\pi$
$191$	69.8256	−	83.2149i	0.365579	−	0.435680i	0.917208	+	0.398410i	$0.130438\pi$
$192$		0			0
$193$	34.7484	+	197.068i	0.180044	+	1.02108i	0.932160	+	0.362047i	$0.117922\pi$
$193$	34.7484	+	197.068i	0.180044	+	1.02108i	−0.752116	+	0.659031i	$0.770967\pi$
$194$	31.6880	−	87.0622i	0.163340	−	0.448774i
$195$		0			0
$196$	28.5412	−	161.865i	0.145619	−	0.825844i
$197$	−253.494	−	146.355i	−1.28677	−	0.742918i	−0.308694	−	0.951161i	$-0.599892\pi$
$197$	−253.494	−	146.355i	−1.28677	−	0.742918i	−0.978077	+	0.208243i	$0.933225\pi$
$198$		0			0
$199$	41.1548	+	71.2822i	0.206808	+	0.358202i	0.950707	−	0.310090i	$-0.100359\pi$
$199$	41.1548	+	71.2822i	0.206808	+	0.358202i	−0.743899	+	0.668292i	$0.767026\pi$
$200$	−10.5041	−	28.8597i	−0.0525204	−	0.144299i
$201$		0			0
$202$	−4.24814	+	3.56461i	−0.0210304	+	0.0176466i
$203$	171.720	+	204.647i	0.845910	+	1.00812i
$204$		0			0
$205$	−62.9502	+	22.9120i	−0.307074	+	0.111766i
$206$	72.6848	−	41.9646i	0.352839	−	0.203712i
$207$		0			0
$208$	−9.22585	+	15.9796i	−0.0443550	+	0.0768252i
$209$	52.2881	+	9.21980i	0.250182	+	0.0441139i
$210$		0			0
$211$	−108.859	−	39.6214i	−0.515919	−	0.187779i	0.0709215	−	0.997482i	$-0.477406\pi$
$211$	−108.859	−	39.6214i	−0.515919	−	0.187779i	−0.586840	+	0.809703i	$0.699628\pi$
$212$	221.019	−	38.9717i	1.04254	−	0.183829i
$213$		0			0
$214$	−140.635	−	118.007i	−0.657174	−	0.551434i
$215$			196.202i			0.912568i
$216$		0			0
$217$	−233.036			−1.07390
$218$	−13.8645	+	16.5231i	−0.0635986	+	0.0757938i
$219$		0			0
$220$	29.1146	+	165.117i	0.132339	+	0.750532i
$221$	−12.1388	+	33.3510i	−0.0549266	+	0.150910i
$222$		0			0
$223$	−34.4233	+	195.224i	−0.154365	+	0.875446i	0.805000	+	0.593275i	$0.202166\pi$
$223$	−34.4233	+	195.224i	−0.154365	+	0.875446i	−0.959364	+	0.282171i	$0.908946\pi$
$224$	−299.224	−	172.757i	−1.33582	−	0.771236i
$225$		0			0
$226$	−10.4580	−	18.1138i	−0.0462745	−	0.0801498i
$227$	1.76204	+	4.84116i	0.00776228	+	0.0213267i	0.943513	−	0.331335i	$-0.107499\pi$
$227$	1.76204	+	4.84116i	0.00776228	+	0.0213267i	−0.935751	+	0.352661i	$0.885277\pi$
$228$		0			0
$229$	270.680	−	227.127i	1.18201	−	0.991821i	0.182043	−	0.983291i	$-0.441729\pi$
$229$	270.680	−	227.127i	1.18201	−	0.991821i	0.999964	−	0.00853095i	$-0.00271552\pi$
$230$	−79.9704	−	95.3050i	−0.347697	−	0.414370i
$231$		0			0
$232$	184.040	−	66.9849i	0.793274	−	0.288728i
$233$	−121.729	+	70.2803i	−0.522442	+	0.301632i	−0.737933	−	0.674874i	$-0.764198\pi$
$233$	−121.729	+	70.2803i	−0.522442	+	0.301632i	0.215491	+	0.976506i	$0.430865\pi$
$234$		0			0
$235$	−33.3735	+	57.8046i	−0.142015	+	0.245977i
$236$	178.322	+	31.4430i	0.755602	+	0.133233i
$237$		0			0
$238$	−36.3116	−	13.2163i	−0.152570	−	0.0555308i
$239$	−145.430	+	25.6433i	−0.608495	+	0.107294i	−0.469401	−	0.882985i	$-0.655530\pi$
$239$	−145.430	+	25.6433i	−0.608495	+	0.107294i	−0.139094	+	0.990279i	$0.544419\pi$
$240$		0			0
$241$	233.194	+	195.673i	0.967611	+	0.811922i	0.982174	−	0.187972i	$-0.0601913\pi$
$241$	233.194	+	195.673i	0.967611	+	0.811922i	−0.0145632	+	0.999894i	$0.504636\pi$
$242$			19.6445i			0.0811755i
$243$		0			0
$244$	207.060			0.848606
$245$	−214.434	+	255.553i	−0.875241	+	1.04307i
$246$		0			0
$247$	−8.81855	−	50.0125i	−0.0357026	−	0.202480i
$248$	−58.4314	+	160.539i	−0.235611	+	0.647335i
$249$		0			0
$250$	22.8146	−	129.388i	0.0912585	−	0.517553i
$251$	108.072	+	62.3955i	0.430567	+	0.248588i	0.699588	−	0.714546i	$-0.253367\pi$
$251$	108.072	+	62.3955i	0.430567	+	0.248588i	−0.269021	+	0.963134i	$0.586700\pi$
$252$		0			0
$253$	116.897	+	202.472i	0.462044	+	0.800284i
$254$	−62.0280	−	170.421i	−0.244205	−	0.670947i
$255$		0			0
$256$	−180.691	+	151.618i	−0.705824	+	0.592257i
$257$	−293.774	−	350.106i	−1.14309	−	1.36228i	−0.922075	−	0.387011i	$-0.873508\pi$
$257$	−293.774	−	350.106i	−1.14309	−	1.36228i	−0.221015	−	0.975271i	$-0.570937\pi$
$258$		0			0
$259$	174.779	−	63.6144i	0.674823	−	0.245616i
$260$	138.882	−	80.1837i	0.534163	−	0.308399i
$261$		0			0
$262$	57.1884	−	99.0533i	0.218276	−	0.378066i
$263$	−460.838	−	81.2581i	−1.75223	−	0.308966i	−0.796816	−	0.604222i	$-0.793484\pi$
$263$	−460.838	−	81.2581i	−1.75223	−	0.308966i	−0.955418	+	0.295255i	$0.904595\pi$
$264$		0			0
$265$	−428.044	−	155.795i	−1.61526	−	0.587907i
$266$	54.4521	−	9.60137i	0.204707	−	0.0360954i
$267$		0			0
$268$	−197.324	−	165.575i	−0.736284	−	0.617816i
$269$			317.049i			1.17862i	0.807907	+	0.589310i	$0.200601\pi$
$269$			317.049i			1.17862i	−0.807907	+	0.589310i	$0.799399\pi$
$270$		0			0
$271$	115.698			0.426931			0.213465	−	0.976951i	$-0.431525\pi$
$271$	115.698			0.426931			0.213465	+	0.976951i	$0.431525\pi$
$272$	3.33615	−	3.97587i	0.0122653	−	0.0146172i
$273$		0			0
$274$	13.2363	+	75.0666i	0.0483076	+	0.273966i
$275$	15.9732	−	43.8860i	0.0580843	−	0.159585i
$276$		0			0
$277$	−20.0227	+	113.554i	−0.0722840	+	0.409943i	0.927099	+	0.374817i	$0.122294\pi$
$277$	−20.0227	+	113.554i	−0.0722840	+	0.409943i	−0.999383	+	0.0351261i	$0.988817\pi$
$278$	−125.980	−	72.7347i	−0.453166	−	0.261635i
$279$		0			0
$280$	218.970	+	379.267i	0.782035	+	1.35452i
$281$	27.9061	+	76.6714i	0.0993100	+	0.272852i	0.979392	−	0.201971i	$-0.0647345\pi$
$281$	27.9061	+	76.6714i	0.0993100	+	0.272852i	−0.880082	+	0.474822i	$0.842512\pi$
$282$		0			0
$283$	−319.547	+	268.132i	−1.12914	+	0.947462i	−0.999030	−	0.0440369i	$-0.985978\pi$
$283$	−319.547	+	268.132i	−1.12914	+	0.947462i	−0.130112	+	0.991499i	$0.541534\pi$
$284$	−207.411	−	247.183i	−0.730320	−	0.870362i
$285$		0			0
$286$	143.916	−	52.3812i	0.503204	−	0.183151i
$287$	113.534	−	65.5489i	0.395589	−	0.228393i
$288$		0			0
$289$	−139.508	+	241.636i	−0.482728	+	0.836110i
$290$	−156.077	−	27.5205i	−0.538196	−	0.0948984i
$291$		0			0
$292$	−227.144	−	82.6735i	−0.777889	−	0.283128i
$293$	−340.579	+	60.0533i	−1.16239	+	0.204960i	−0.721377	−	0.692542i	$-0.756491\pi$
$293$	−340.579	+	60.0533i	−1.16239	+	0.204960i	−0.441009	+	0.897503i	$0.645379\pi$
$294$		0			0
$295$	−281.534	−	236.235i	−0.954353	−	0.800798i
$296$		−	136.357i		−	0.460665i
$297$		0			0
$298$	234.232			0.786012
$299$	143.740	−	171.303i	0.480735	−	0.572918i
$300$		0			0
$301$	−66.6742	−	378.128i	−0.221509	−	1.25624i
$302$	−50.8811	+	139.795i	−0.168480	+	0.462896i
$303$		0			0
$304$	−1.28959	+	7.31364i	−0.00424208	+	0.0240580i
$305$	−363.957	−	210.131i	−1.19330	−	0.688954i
$306$		0			0
$307$	−288.668	−	499.988i	−0.940286	−	1.62862i	−0.764925	−	0.644120i	$-0.777224\pi$
$307$	−288.668	−	499.988i	−0.940286	−	1.62862i	−0.175362	−	0.984504i	$-0.556110\pi$
$308$	−112.221	−	308.326i	−0.364355	−	1.00106i
$309$		0			0
$310$	105.904	−	88.8636i	0.341624	−	0.286657i
$311$	288.678	+	344.033i	0.928224	+	1.10621i	0.994109	+	0.108388i	$0.0345687\pi$
$311$	288.678	+	344.033i	0.928224	+	1.10621i	−0.0658843	+	0.997827i	$0.520987\pi$
$312$		0			0
$313$	−10.1840	+	3.70667i	−0.0325367	+	0.0118424i	−0.358237	−	0.933631i	$-0.616622\pi$
$313$	−10.1840	+	3.70667i	−0.0325367	+	0.0118424i	0.325701	+	0.945473i	$0.394400\pi$
$314$	139.700	−	80.6557i	0.444904	−	0.256865i
$315$		0			0
$316$	27.0360	−	46.8278i	0.0855570	−	0.148189i
$317$	−214.918	−	37.8958i	−0.677974	−	0.119545i	−0.175951	−	0.984399i	$-0.556300\pi$
$317$	−214.918	−	37.8958i	−0.677974	−	0.119545i	−0.502024	+	0.864854i	$0.667411\pi$
$318$		0			0
$319$	279.863	+	101.862i	0.877312	+	0.319316i
$320$	167.028	−	29.4516i	0.521963	−	0.0920361i
$321$		0			0
$322$	186.509	+	156.500i	0.579220	+	0.486024i
$323$			14.2846i			0.0442249i
$324$		0			0
$325$	−44.6700			−0.137446
$326$	29.7433	−	35.4467i	0.0912372	−	0.108732i
$327$		0			0
$328$	−16.6893	−	94.6497i	−0.0508820	−	0.288566i
$329$	44.6753	−	122.744i	0.135791	−	0.373083i
$330$		0			0
$331$	104.307	−	591.553i	0.315126	−	1.78717i	−0.256386	−	0.966574i	$-0.582532\pi$
$331$	104.307	−	591.553i	0.315126	−	1.78717i	0.571512	−	0.820594i	$-0.306357\pi$
$332$	72.5849	+	41.9069i	0.218629	+	0.126226i
$333$		0			0
$334$	−96.3325	−	166.853i	−0.288421	−	0.499559i
$335$	178.814	+	491.288i	0.533774	+	1.46653i
$336$		0			0
$337$	344.160	−	288.784i	1.02125	−	0.856927i	0.0314624	−	0.999505i	$-0.489984\pi$
$337$	344.160	−	288.784i	1.02125	−	0.856927i	0.989784	+	0.142578i	$0.0455391\pi$
$338$	31.9565	+	38.0842i	0.0945458	+	0.112675i
$339$		0			0
$340$	−42.3881	+	15.4280i	−0.124671	+	0.0453765i
$341$	−224.988	+	129.897i	−0.659789	+	0.380929i
$342$		0			0
$343$	68.3305	−	118.352i	0.199214	−	0.345049i
$344$	−277.212	−	48.8799i	−0.805848	−	0.142093i
$345$		0			0
$346$	11.8806	+	4.32418i	0.0343370	+	0.0124976i
$347$	−232.573	+	41.0088i	−0.670238	+	0.118181i	−0.498404	−	0.866945i	$-0.666080\pi$
$347$	−232.573	+	41.0088i	−0.670238	+	0.118181i	−0.171834	+	0.985126i	$0.554969\pi$
$348$		0			0
$349$	183.685	+	154.130i	0.526319	+	0.441634i	0.866828	−	0.498607i	$-0.166155\pi$
$349$	183.685	+	154.130i	0.526319	+	0.441634i	−0.340509	+	0.940241i	$0.610599\pi$
$350$		−	48.6353i		−	0.138958i
$351$		0			0
$352$	−385.187			−1.09428
$353$	16.4494	−	19.6037i	0.0465989	−	0.0555344i	−0.742242	−	0.670132i	$-0.766237\pi$
$353$	16.4494	−	19.6037i	0.0465989	−	0.0555344i	0.788840	+	0.614598i	$0.210682\pi$
$354$		0			0
$355$	113.726	+	644.970i	0.320354	+	1.81682i
$356$	62.6103	−	172.020i	0.175872	−	0.483203i
$357$		0			0
$358$	56.9676	−	323.079i	0.159127	−	0.902456i
$359$	−16.7796	−	9.68773i	−0.0467399	−	0.0269853i	0.476448	−	0.879203i	$-0.341924\pi$
$359$	−16.7796	−	9.68773i	−0.0467399	−	0.0269853i	−0.523188	+	0.852217i	$0.675257\pi$
$360$		0			0
$361$	170.280	+	294.934i	0.471690	+	0.816992i
$362$	−43.2012	−	118.694i	−0.119340	−	0.327885i
$363$		0			0
$364$	−240.411	+	201.729i	−0.660469	+	0.554199i
$365$	315.360	+	375.831i	0.863999	+	1.02967i
$366$		0			0
$367$	−367.152	+	133.632i	−1.00041	+	0.364121i	−0.789744	−	0.613436i	$-0.789787\pi$
$367$	−367.152	+	133.632i	−1.00041	+	0.364121i	−0.210670	+	0.977557i	$0.567565\pi$
$368$	−28.3201	+	16.3506i	−0.0769569	+	0.0444311i
$369$		0			0
$370$	−55.1707	+	95.5584i	−0.149110	+	0.258266i
$371$	877.886	+	154.795i	2.36627	+	0.417237i
$372$		0			0
$373$	168.038	+	61.1610i	0.450505	+	0.163970i	0.557301	−	0.830310i	$-0.311837\pi$
$373$	168.038	+	61.1610i	0.450505	+	0.163970i	−0.106796	+	0.994281i	$0.534059\pi$
$374$	−42.4246	+	7.48060i	−0.113435	+	0.0200016i
$375$		0			0
$376$	−73.3571	−	61.5539i	−0.195099	−	0.163707i
$377$		−	284.862i		−	0.755603i
$378$		0			0
$379$	3.48118			0.00918518			0.00459259	−	0.999989i	$-0.498538\pi$
$379$	3.48118			0.00918518			0.00459259	+	0.999989i	$0.498538\pi$
$380$	41.4886	−	49.4442i	0.109181	−	0.130116i
$381$		0			0
$382$	−21.8996	−	124.199i	−0.0573287	−	0.325127i
$383$	−5.89181	+	16.1876i	−0.0153833	+	0.0422653i	−0.947147	−	0.320801i	$-0.896048\pi$
$383$	−5.89181	+	16.1876i	−0.0153833	+	0.0422653i	0.931763	+	0.363066i	$0.118270\pi$
$384$		0			0
$385$	−115.643	+	655.842i	−0.300371	+	1.70349i
$386$	201.193	+	116.159i	0.521226	+	0.300930i
$387$		0			0
$388$	105.827	+	183.298i	0.272750	+	0.472417i
$389$	−108.343	−	297.669i	−0.278516	−	0.765216i	−0.997531	−	0.0702221i	$-0.977629\pi$
$389$	−108.343	−	297.669i	−0.278516	−	0.765216i	0.719015	−	0.694994i	$-0.244593\pi$
$390$		0			0
$391$	−48.1843	+	40.4315i	−0.123234	+	0.103405i
$392$	−307.645	−	366.637i	−0.784810	−	0.935300i
$393$		0			0
$394$	−319.331	+	116.227i	−0.810485	+	0.294992i
$395$	−95.0446	+	54.8740i	−0.240619	+	0.138922i
$396$		0			0
$397$	−134.041	+	232.165i	−0.337634	+	0.584800i	−0.983987	−	0.178239i	$-0.942960\pi$
$397$	−134.041	+	232.165i	−0.337634	+	0.584800i	0.646353	+	0.763039i	$0.276293\pi$
$398$	94.1067	+	16.5935i	0.236449	+	0.0416923i
$399$		0			0
$400$	6.13842	+	2.23420i	0.0153460	+	0.00558550i
$401$	95.9860	−	16.9249i	0.239366	−	0.0422068i	−0.0526778	−	0.998612i	$-0.516776\pi$
$401$	95.9860	−	16.9249i	0.239366	−	0.0422068i	0.292044	+	0.956405i	$0.405665\pi$
$402$		0			0
$403$	190.352	+	159.725i	0.472339	+	0.396339i
$404$		−	12.6686i		−	0.0313578i
$405$		0			0
$406$	310.149			0.763914
$407$	133.284	−	158.842i	0.327479	−	0.390274i
$408$		0			0
$409$	−70.3872	−	399.185i	−0.172096	−	0.976003i	−0.941443	−	0.337173i	$-0.890529\pi$
$409$	−70.3872	−	399.185i	−0.172096	−	0.976003i	0.769347	−	0.638831i	$-0.220582\pi$
$410$	−26.6000	+	73.0828i	−0.0648780	+	0.178251i
$411$		0			0
$412$	−33.2940	+	188.820i	−0.0808107	+	0.458300i
$413$	622.862	+	359.609i	1.50814	+	0.870725i
$414$		0			0
$415$	−85.0569	−	147.323i	−0.204956	−	0.354995i
$416$	126.008	+	346.205i	0.302905	+	0.832224i
$417$		0			0
$418$	47.2197	−	39.6221i	0.112966	−	0.0947896i
$419$	75.4214	+	89.8837i	0.180003	+	0.214520i	0.848500	−	0.529196i	$-0.177506\pi$
$419$	75.4214	+	89.8837i	0.180003	+	0.214520i	−0.668496	+	0.743715i	$0.733062\pi$
$420$		0			0
$421$	489.894	−	178.307i	1.16364	−	0.423531i	0.313245	−	0.949672i	$-0.398584\pi$
$421$	489.894	−	178.307i	1.16364	−	0.423531i	0.850397	+	0.526141i	$0.176362\pi$
$422$	−116.473	+	67.2459i	−0.276003	+	0.159351i
$423$		0			0
$424$	326.760	−	565.966i	0.770661	−	1.33482i
$425$	12.3740	+	2.18187i	0.0291152	+	0.00513380i
$426$		0			0
$427$	772.840	+	281.291i	1.80993	+	0.658761i
$428$	413.023	−	72.8271i	0.965007	−	0.170157i
$429$		0			0
$430$	174.492	+	146.416i	0.405796	+	0.340503i
$431$			263.580i			0.611555i	0.952103	+	0.305777i	$0.0989163\pi$
$431$			263.580i			0.611555i	−0.952103	+	0.305777i	$0.901084\pi$
$432$		0			0
$433$	−702.013			−1.62128			−0.810639	−	0.585547i	$-0.800880\pi$
$433$	−702.013			−1.62128			−0.810639	+	0.585547i	$0.800880\pi$
$434$	−173.903	+	207.250i	−0.400699	+	0.477534i
$435$		0			0
$436$	−8.55636	−	48.5256i	−0.0196247	−	0.111297i
$437$	30.7827	−	84.5749i	0.0704410	−	0.193535i
$438$		0			0
$439$	−76.9114	+	436.186i	−0.175197	+	0.993591i	0.762720	+	0.646729i	$0.223864\pi$
$439$	−76.9114	+	436.186i	−0.175197	+	0.993591i	−0.937916	+	0.346861i	$0.887247\pi$
$440$	422.816	+	244.113i	0.960946	+	0.554802i
$441$		0			0
$442$	20.6021	+	35.6839i	0.0466111	+	0.0807328i
$443$	207.552	+	570.245i	0.468515	+	1.28723i	0.918932	+	0.394416i	$0.129053\pi$
$443$	207.552	+	570.245i	0.468515	+	1.28723i	−0.450417	+	0.892818i	$0.648725\pi$
$444$		0			0
$445$	−284.624	+	238.828i	−0.639605	+	0.536692i
$446$	147.934	+	176.301i	0.331691	+	0.395294i
$447$		0			0
$448$	−311.895	+	113.520i	−0.696193	+	0.253394i
$449$	−347.745	+	200.771i	−0.774488	+	0.447151i	−0.834473	−	0.551048i	$-0.814228\pi$
$449$	−347.745	+	200.771i	−0.774488	+	0.447151i	0.0599853	+	0.998199i	$0.480895\pi$
$450$		0			0
$451$	73.0755	−	126.570i	0.162030	−	0.280644i
$452$	47.0559	+	8.29723i	0.104106	+	0.0183567i
$453$		0			0
$454$	5.62041	+	2.04566i	0.0123797	+	0.00450586i
$455$	627.300	−	110.610i	1.37868	−	0.243099i
$456$		0			0
$457$	−112.695	−	94.5622i	−0.246597	−	0.206919i	0.511108	−	0.859516i	$-0.329235\pi$
$457$	−112.695	−	94.5622i	−0.246597	−	0.206919i	−0.757705	+	0.652597i	$0.773680\pi$
$458$		−	410.223i		−	0.895683i
$459$		0			0
$460$	284.213			0.617855
$461$	−504.853	+	601.661i	−1.09513	+	1.30512i	−0.146329	+	0.989236i	$0.546746\pi$
$461$	−504.853	+	601.661i	−1.09513	+	1.30512i	−0.948798	+	0.315885i	$0.897699\pi$
$462$		0			0
$463$	−62.2447	−	353.007i	−0.134438	−	0.762434i	−0.975250	−	0.221107i	$-0.929033\pi$
$463$	−62.2447	−	353.007i	−0.134438	−	0.762434i	0.840812	−	0.541328i	$-0.182078\pi$
$464$	−14.2476	+	39.1449i	−0.0307060	+	0.0843641i
$465$		0			0
$466$	−28.3369	+	160.706i	−0.0608088	+	0.344864i
$467$	88.2727	+	50.9643i	0.189021	+	0.109131i	0.591524	−	0.806287i	$-0.298526\pi$
$467$	88.2727	+	50.9643i	0.189021	+	0.109131i	−0.402503	+	0.915419i	$0.631860\pi$
$468$		0			0
$469$	−511.569	−	886.063i	−1.09077	−	1.88926i
$470$	26.5034	+	72.8175i	0.0563902	+	0.154931i
$471$		0			0
$472$	403.913	−	338.923i	0.855748	−	0.718058i
$473$	−275.145	−	327.905i	−0.581702	−	0.693245i
$474$		0			0
$475$	−16.8946	+	6.14912i	−0.0355675	+	0.0129455i
$476$	76.4491	−	44.1379i	0.160607	−	0.0927267i
$477$		0			0
$478$	−85.7219	+	148.475i	−0.179334	+	0.310616i
$479$	124.450	+	21.9439i	0.259812	+	0.0458119i	0.302037	−	0.953296i	$-0.402333\pi$
$479$	124.450	+	21.9439i	0.259812	+	0.0458119i	−0.0422247	+	0.999108i	$0.513445\pi$
$480$		0			0
$481$	−186.368	−	67.8325i	−0.387460	−	0.141024i
$482$	348.044	−	61.3695i	0.722082	−	0.127323i
$483$		0			0
$484$	−34.3777	−	28.8463i	−0.0710284	−	0.0595999i
$485$		−	429.586i		−	0.885745i
$486$		0			0
$487$	454.010			0.932258			0.466129	−	0.884717i	$-0.345648\pi$
$487$	454.010			0.932258			0.466129	+	0.884717i	$0.345648\pi$
$488$	387.565	−	461.882i	0.794190	−	0.946479i
$489$		0			0
$490$	67.2535	+	381.413i	0.137252	+	0.778395i
$491$	−108.108	+	297.025i	−0.220180	+	0.604939i	−0.999772	−	0.0213484i	$-0.993204\pi$
$491$	−108.108	+	297.025i	−0.220180	+	0.604939i	0.779592	+	0.626287i	$0.215426\pi$
$492$		0			0
$493$	−13.9138	+	78.9093i	−0.0282228	+	0.160059i
$494$	−51.0594	−	29.4792i	−0.103359	−	0.0596744i
$495$		0			0
$496$	−18.1689	−	31.4695i	−0.0366309	−	0.0634466i
$497$	−438.352	−	1204.36i	−0.881997	−	2.42327i
$498$		0			0
$499$	93.6658	−	78.5949i	0.187707	−	0.157505i	−0.544092	−	0.839026i	$-0.683126\pi$
$499$	93.6658	−	78.5949i	0.187707	−	0.157505i	0.731799	+	0.681521i	$0.238681\pi$
$500$	192.927	+	229.922i	0.385854	+	0.459843i
$501$		0			0
$502$	136.141	−	49.5511i	0.271196	−	0.0987074i
$503$	391.041	−	225.768i	0.777418	−	0.448843i	−0.0580963	−	0.998311i	$-0.518503\pi$
$503$	391.041	−	225.768i	0.777418	−	0.448843i	0.835515	+	0.549468i	$0.185170\pi$
$504$		0			0
$505$	−12.8565	+	22.2680i	−0.0254583	+	0.0440951i
$506$	267.303	+	47.1327i	0.528267	+	0.0931477i
$507$		0			0
$508$	389.318	+	141.700i	0.766375	+	0.278938i
$509$	−492.118	+	86.7737i	−0.966833	+	0.170479i	−0.634704	−	0.772755i	$-0.718878\pi$
$509$	−492.118	+	86.7737i	−0.966833	+	0.170479i	−0.332129	+	0.943234i	$0.607767\pi$
$510$		0			0
$511$	−735.489	−	617.149i	−1.43931	−	1.20773i
$512$		−	104.621i		−	0.204338i
$513$		0			0
$514$	−530.596			−1.03229
$515$	250.142	−	298.108i	0.485713	−	0.578850i
$516$		0			0
$517$	−25.2867	−	143.408i	−0.0489104	−	0.277385i
$518$	73.8540	−	202.912i	0.142575	−	0.391722i
$519$		0			0
$520$	81.0899	−	459.884i	0.155942	−	0.884392i
$521$	595.632	+	343.888i	1.14325	+	0.660054i	0.947233	−	0.320546i	$-0.103867\pi$
$521$	595.632	+	343.888i	1.14325	+	0.660054i	0.196015	+	0.980601i	$0.437200\pi$
$522$		0			0
$523$	260.218	+	450.711i	0.497549	+	0.861780i	0.999996	−	0.00282784i	$-0.000900130\pi$
$523$	260.218	+	450.711i	0.497549	+	0.861780i	−0.502447	+	0.864608i	$0.667567\pi$
$524$	89.3660	+	245.531i	0.170546	+	0.468571i
$525$		0			0
$526$	−416.168	+	349.206i	−0.791194	+	0.663890i
$527$	−44.9277	−	53.5427i	−0.0852518	−	0.101599i
$528$		0			0
$529$	−124.685	+	45.3817i	−0.235700	+	0.0857876i
$530$	−457.985	+	264.418i	−0.864123	+	0.498902i
$531$		0			0
$532$	−63.1561	+	109.390i	−0.118715	+	0.205620i
$533$	−137.667	−	24.2744i	−0.258287	−	0.0455429i
$534$		0			0
$535$	−799.894	−	291.138i	−1.49513	−	0.544182i
$536$	−738.683	+	130.250i	−1.37814	+	0.243003i
$537$		0			0
$538$	281.967	+	236.599i	0.524103	+	0.439774i
$539$		−	727.808i		−	1.35029i
$540$		0			0
$541$	803.120			1.48451			0.742255	−	0.670117i	$-0.233756\pi$
$541$	803.120			1.48451			0.742255	+	0.670117i	$0.233756\pi$
$542$	86.3401	−	102.896i	0.159299	−	0.189845i
$543$		0			0
$544$	−17.9953	−	102.057i	−0.0330797	−	0.187604i
$545$	−34.2054	+	93.9785i	−0.0627622	+	0.172438i
$546$		0			0
$547$	−11.9276	+	67.6450i	−0.0218056	+	0.123665i	−0.993767	−	0.111473i	$-0.964443\pi$
$547$	−11.9276	+	67.6450i	−0.0218056	+	0.123665i	0.971962	+	0.235138i	$0.0755543\pi$
$548$	−150.803	−	87.0659i	−0.275187	−	0.158879i
$549$		0			0
$550$	−27.1099	−	46.9557i	−0.0492907	−	0.0853741i
$551$	−39.2132	−	107.737i	−0.0711673	−	0.195531i
$552$		0			0
$553$	164.526	−	138.054i	0.297515	−	0.249645i
$554$	86.0473	+	102.547i	0.155320	+	0.185103i
$555$		0			0
$556$	312.277	−	113.660i	0.561649	−	0.204424i
$557$	−575.120	+	332.045i	−1.03253	+	0.596132i	−0.917709	−	0.397254i	$-0.869963\pi$
$557$	−575.120	+	332.045i	−1.03253	+	0.596132i	−0.114822	+	0.993386i	$0.536630\pi$
$558$		0			0
$559$	−204.710	+	354.569i	−0.366208	+	0.634291i
$560$	−91.7339	−	16.1752i	−0.163811	−	0.0288842i
$561$		0			0
$562$	89.0126	+	32.3979i	0.158385	+	0.0576476i
$563$	−342.373	+	60.3696i	−0.608123	+	0.107229i	−0.469226	−	0.883078i	$-0.655467\pi$
$563$	−342.373	+	60.3696i	−0.608123	+	0.107229i	−0.138897	+	0.990307i	$0.544356\pi$
$564$		0			0
$565$	−74.2917	−	62.3382i	−0.131490	−	0.110333i
$566$			484.283i			0.855623i
$567$		0			0
$568$	−939.603			−1.65423
$569$	−251.342	+	299.538i	−0.441726	+	0.526428i	−0.940267	−	0.340438i	$-0.889425\pi$
$569$	−251.342	+	299.538i	−0.441726	+	0.526428i	0.498541	+	0.866866i	$0.333869\pi$
$570$		0			0
$571$	148.595	+	842.725i	0.260237	+	1.47587i	0.782264	+	0.622947i	$0.214065\pi$
$571$	148.595	+	842.725i	0.260237	+	1.47587i	−0.522028	+	0.852928i	$0.674824\pi$
$572$	−119.663	+	328.770i	−0.209200	+	0.574773i
$573$		0			0
$574$	26.4292	−	149.887i	0.0460438	−	0.261128i
$575$	−68.5606	−	39.5835i	−0.119236	−	0.0688408i
$576$		0			0
$577$	313.746	+	543.423i	0.543753	+	0.941808i	0.998684	+	0.0512815i	$0.0163306\pi$
$577$	313.746	+	543.423i	0.543753	+	0.941808i	−0.454931	+	0.890527i	$0.650336\pi$
$578$	110.790	+	304.393i	0.191678	+	0.526631i
$579$		0			0
$580$	277.347	−	232.722i	0.478184	−	0.401244i
$581$	213.989	+	255.022i	0.368311	+	0.438936i
$582$		0			0
$583$	933.854	−	339.895i	1.60181	−	0.583010i
$584$	−609.573	+	351.937i	−1.04379	+	0.602632i
$585$		0			0
$586$	−200.750	+	347.709i	−0.342576	+	0.593359i
$587$	−733.246	−	129.291i	−1.24914	−	0.220257i	−0.490312	−	0.871547i	$-0.663117\pi$
$587$	−733.246	−	129.291i	−1.24914	−	0.220257i	−0.758829	+	0.651290i	$0.774228\pi$
$588$		0			0
$589$	93.9801	+	34.2060i	0.159559	+	0.0580746i
$590$	−420.191	+	74.0910i	−0.712188	+	0.125578i
$591$		0			0
$592$	22.2175	+	18.6427i	0.0375296	+	0.0314910i
$593$		−	625.722i		−	1.05518i	−0.849499	−	0.527591i	$-0.823096\pi$
$593$		−	625.722i		−	1.05518i	0.849499	−	0.527591i	$-0.176904\pi$
$594$		0			0
$595$	−179.170			−0.301126
$596$	−343.950	+	409.904i	−0.577098	+	0.687759i
$597$		0			0
$598$	−45.0815	−	255.670i	−0.0753871	−	0.427542i
$599$	195.992	−	538.483i	0.327198	−	0.898970i	−0.661619	−	0.749840i	$-0.730130\pi$
$599$	195.992	−	538.483i	0.327198	−	0.898970i	0.988818	−	0.149130i	$-0.0476473\pi$
$600$		0			0
$601$	196.479	−	1114.29i	0.326921	−	1.85406i	−0.168899	−	0.985633i	$-0.554021\pi$
$601$	196.479	−	1114.29i	0.326921	−	1.85406i	0.495820	−	0.868426i	$-0.334868\pi$
$602$	−386.043	−	222.882i	−0.641268	−	0.370236i
$603$		0			0
$604$	−169.925	−	294.319i	−0.281333	−	0.487283i
$605$	31.1529	+	85.5919i	0.0514924	+	0.141474i
$606$		0			0
$607$	−178.085	+	149.431i	−0.293386	+	0.246180i	−0.777585	−	0.628778i	$-0.783556\pi$
$607$	−178.085	+	149.431i	−0.293386	+	0.246180i	0.484199	+	0.874958i	$0.339111\pi$
$608$	95.3149	+	113.592i	0.156768	+	0.186829i
$609$		0			0
$610$	−458.484	+	166.874i	−0.751613	+	0.273565i
$611$	−120.623	+	69.6414i	−0.197418	+	0.113979i
$612$		0			0
$613$	533.889	−	924.724i	0.870945	−	1.50852i	0.00992514	−	0.999951i	$-0.496841\pi$
$613$	533.889	−	924.724i	0.870945	−	1.50852i	0.861020	−	0.508571i	$-0.169826\pi$
$614$	−660.082	−	116.390i	−1.07505	−	0.189561i
$615$		0			0
$616$	−897.822	−	326.781i	−1.45750	−	0.530488i
$617$	415.344	−	73.2363i	0.673167	−	0.118697i	0.173392	−	0.984853i	$-0.444527\pi$
$617$	415.344	−	73.2363i	0.673167	−	0.118697i	0.499775	+	0.866155i	$0.333416\pi$
$618$		0			0
$619$	460.270	+	386.212i	0.743570	+	0.623929i	0.933794	−	0.357812i	$-0.116477\pi$
$619$	460.270	+	386.212i	0.743570	+	0.623929i	−0.190224	+	0.981741i	$0.560921\pi$
$620$			315.820i			0.509386i
$621$		0			0
$622$	521.392			0.838250
$623$	467.379	−	557.000i	0.750207	−	0.894062i
$624$		0			0
$625$	−123.048	−	697.838i	−0.196876	−	1.11654i
$626$	−4.30330	+	11.8232i	−0.00687428	+	0.0188869i
$627$		0			0
$628$	−63.9908	+	362.910i	−0.101896	+	0.577882i
$629$	48.3124	+	27.8932i	0.0768083	+	0.0443453i
$630$		0			0
$631$	554.621	+	960.632i	0.878956	+	1.52240i	0.852488	+	0.522747i	$0.175093\pi$
$631$	554.621	+	960.632i	0.878956	+	1.52240i	0.0264679	+	0.999650i	$0.491574\pi$
$632$	−53.8524	−	147.958i	−0.0852095	−	0.234111i
$633$		0			0
$634$	−194.086	+	162.857i	−0.306129	+	0.256872i
$635$	−540.518	−	644.165i	−0.851210	−	1.01443i
$636$		0			0
$637$	−654.151	+	238.092i	−1.02693	+	0.373770i
$638$	299.439	−	172.881i	0.469340	−	0.270973i
$639$		0			0
$640$	−254.659	+	441.082i	−0.397904	+	0.689191i
$641$	−162.759	−	28.6989i	−0.253915	−	0.0447720i	0.0452418	−	0.998976i	$-0.485594\pi$
$641$	−162.759	−	28.6989i	−0.253915	−	0.0447720i	−0.299157	+	0.954204i	$0.596705\pi$
$642$		0			0
$643$	−746.702	−	271.777i	−1.16128	−	0.422671i	−0.311725	−	0.950172i	$-0.600907\pi$
$643$	−746.702	−	271.777i	−1.16128	−	0.422671i	−0.849554	+	0.527502i	$0.823129\pi$
$644$	−547.747	+	96.5825i	−0.850538	+	0.149973i
$645$		0			0
$646$	12.7040	+	10.6599i	0.0196657	+	0.0165015i
$647$		−	222.504i		−	0.343900i	−0.985106	−	0.171950i	$-0.944993\pi$
$647$		−	222.504i		−	0.343900i	0.985106	−	0.171950i	$-0.0550068\pi$
$648$		0			0
$649$	801.803			1.23544
$650$	−33.3351	+	39.7272i	−0.0512847	+	0.0611188i
$651$		0			0
$652$	18.3559	+	104.101i	0.0281532	+	0.159665i
$653$	159.547	−	438.353i	0.244330	−	0.671291i	−0.755539	−	0.655103i	$-0.772625\pi$
$653$	159.547	−	438.353i	0.244330	−	0.671291i	0.999869	−	0.0161872i	$-0.00515277\pi$
$654$		0			0
$655$	92.0905	−	522.271i	0.140596	−	0.797361i
$656$	17.7037	+	10.2212i	0.0269873	+	0.0155811i
$657$		0			0
$658$	−75.8234	−	131.330i	−0.115233	−	0.199590i
$659$	71.2338	+	195.713i	0.108094	+	0.296985i	0.981933	−	0.189230i	$-0.0605993\pi$
$659$	71.2338	+	195.713i	0.108094	+	0.296985i	−0.873839	+	0.486215i	$0.838377\pi$
$660$		0			0
$661$	−485.505	+	407.387i	−0.734501	+	0.616320i	−0.931355	−	0.364113i	$-0.881372\pi$
$661$	−485.505	+	407.387i	−0.734501	+	0.616320i	0.196854	+	0.980433i	$0.436928\pi$
$662$	−448.258	−	534.213i	−0.677126	−	0.806968i
$663$		0			0
$664$	229.341	−	83.4734i	0.345393	−	0.125713i
$665$	222.024	−	128.186i	0.333871	−	0.192760i
$666$		0			0
$667$	252.425	−	437.214i	0.378449	−	0.655493i
$668$	433.448	+	76.4286i	0.648874	+	0.114414i
$669$		0			0
$670$	570.367	+	207.597i	0.851294	+	0.309846i
$671$	902.946	−	159.214i	1.34567	−	0.237278i
$672$		0			0
$673$	84.2808	+	70.7200i	0.125231	+	0.105082i	0.703252	−	0.710940i	$-0.251730\pi$
$673$	84.2808	+	70.7200i	0.125231	+	0.105082i	−0.578021	+	0.816022i	$0.696175\pi$
$674$		−	521.584i		−	0.773864i
$675$		0			0
$676$	−113.573			−0.168007
$677$	−91.9435	+	109.574i	−0.135810	+	0.161852i	−0.829663	−	0.558265i	$-0.811467\pi$
$677$	−91.9435	+	109.574i	−0.135810	+	0.161852i	0.693853	+	0.720117i	$0.255912\pi$
$678$		0			0
$679$	145.984	+	827.915i	0.214998	+	1.21931i
$680$	−44.9252	+	123.431i	−0.0660665	+	0.181516i
$681$		0			0
$682$	−52.3742	+	297.029i	−0.0767950	+	0.435526i
$683$	−784.050	−	452.671i	−1.14795	−	0.662769i	−0.199563	−	0.979885i	$-0.563952\pi$
$683$	−784.050	−	452.671i	−1.14795	−	0.662769i	−0.948387	+	0.317116i	$0.897286\pi$
$684$		0			0
$685$	176.714	+	306.078i	0.257977	+	0.446830i
$686$	−54.2643	−	149.090i	−0.0791025	−	0.217332i
$687$		0			0
$688$	45.8647	−	38.4851i	0.0666638	−	0.0559376i
$689$	−610.993	−	728.153i	−0.886783	−	1.05683i
$690$		0			0
$691$	−499.926	+	181.958i	−0.723482	+	0.263326i	−0.677403	−	0.735612i	$-0.736895\pi$
$691$	−499.926	+	181.958i	−0.723482	+	0.263326i	−0.0460786	+	0.998938i	$0.514672\pi$
$692$	−25.0130	+	14.4413i	−0.0361459	+	0.0208689i
$693$		0			0
$694$	−137.087	+	237.441i	−0.197531	+	0.342134i
$695$	−664.247	−	117.125i	−0.955751	−	0.168525i
$696$		0			0
$697$	36.9492	+	13.4484i	0.0530118	+	0.0192947i
$698$	274.151	−	48.3402i	0.392767	−	0.0692553i
$699$		0			0
$700$	85.1115	+	71.4170i	0.121588	+	0.102024i
$701$			905.026i			1.29105i	0.763739	+	0.645525i	$0.223361\pi$
$701$			905.026i			1.29105i	−0.763739	+	0.645525i	$0.776639\pi$
$702$		0			0
$703$	−79.8237			−0.113547
$704$	−237.846	+	283.454i	−0.337850	+	0.402633i
$705$		0			0
$706$	−5.15907	−	29.2585i	−0.00730747	−	0.0414427i
$707$	17.2102	−	47.2847i	0.0243426	−	0.0668808i
$708$		0			0
$709$	−63.1847	+	358.338i	−0.0891181	+	0.505414i	0.907274	+	0.420541i	$0.138160\pi$
$709$	−63.1847	+	358.338i	−0.0891181	+	0.505414i	−0.996392	+	0.0848731i	$0.972952\pi$
$710$	658.471	+	380.168i	0.927424	+	0.535449i
$711$		0			0
$712$	−266.529	−	461.642i	−0.374338	−	0.648373i
$713$	150.621	+	413.827i	0.211249	+	0.580402i
$714$		0			0
$715$	543.982	−	456.455i	0.760814	−	0.638398i
$716$	481.735	+	574.109i	0.672814	+	0.801828i
$717$		0			0
$718$	−21.1376	+	7.69346i	−0.0294396	+	0.0107151i
$719$	389.328	−	224.778i	0.541485	−	0.312626i	−0.204196	−	0.978930i	$-0.565458\pi$
$719$	389.328	−	224.778i	0.541485	−	0.312626i	0.745680	+	0.666304i	$0.232125\pi$
$720$		0			0
$721$	−380.779	+	659.529i	−0.528127	+	0.914742i
$722$	389.371	+	68.6566i	0.539295	+	0.0950923i
$723$		0			0
$724$	271.152	+	98.6911i	0.374519	+	0.136314i
$725$	−99.3163	+	17.5121i	−0.136988	+	0.0241547i
$726$		0			0
$727$	443.820	+	372.409i	0.610481	+	0.512255i	0.894795	−	0.446477i	$-0.147321\pi$
$727$	443.820	+	372.409i	0.610481	+	0.512255i	−0.284314	+	0.958731i	$0.591766\pi$
$728$			913.862i			1.25530i
$729$		0			0
$730$	569.582			0.780250
$731$	74.0252	−	88.2197i	0.101266	−	0.120684i
$732$		0			0
$733$	162.591	+	922.097i	0.221815	+	1.25798i	0.868681	+	0.495372i	$0.164968\pi$
$733$	162.591	+	922.097i	0.221815	+	1.25798i	−0.646866	+	0.762604i	$0.723921\pi$
$734$	−155.142	+	426.250i	−0.211365	+	0.580722i
$735$		0			0
$736$	−113.383	+	643.024i	−0.154052	+	0.873674i
$737$	−987.805	−	570.310i	−1.34031	−	0.773826i
$738$		0			0
$739$	−263.918	−	457.119i	−0.357128	−	0.618564i	0.630352	−	0.776310i	$-0.282911\pi$
$739$	−263.918	−	457.119i	−0.357128	−	0.618564i	−0.987480	+	0.157746i	$0.949577\pi$
$740$	−86.2130	−	236.868i	−0.116504	−	0.320092i
$741$		0			0
$742$	792.791	−	665.230i	1.06845	−	0.896537i
$743$	−23.6752	−	28.2150i	−0.0318643	−	0.0379744i	0.749877	−	0.661577i	$-0.230113\pi$
$743$	−23.6752	−	28.2150i	−0.0318643	−	0.0379744i	−0.781741	+	0.623603i	$0.785668\pi$
$744$		0			0
$745$	1020.56	−	371.453i	1.36988	−	0.498595i
$746$	179.793	−	103.803i	0.241009	−	0.139146i
$747$		0			0
$748$	49.2061	−	85.2274i	0.0657835	−	0.113940i
$749$	1640.52	+	289.268i	2.19028	+	0.386206i
$750$		0			0
$751$	−92.5611	−	33.6895i	−0.123250	−	0.0448595i	0.279659	−	0.960099i	$-0.409779\pi$
$751$	−92.5611	−	33.6895i	−0.123250	−	0.0448595i	−0.402909	+	0.915240i	$0.632001\pi$
$752$	20.0588	−	3.53690i	0.0266739	−	0.00470332i
$753$		0			0
$754$	−253.342	−	212.579i	−0.335997	−	0.281935i
$755$			689.781i			0.913617i
$756$		0			0
$757$	−1385.09			−1.82971			−0.914857	−	0.403779i	$-0.867697\pi$
$757$	−1385.09			−1.82971			−0.914857	+	0.403779i	$0.867697\pi$
$758$	2.59784	−	3.09599i	0.00342723	−	0.00408441i
$759$		0			0
$760$	−32.6372	−	185.095i	−0.0429436	−	0.243545i
$761$	−497.612	+	1367.18i	−0.653892	+	1.79655i	−0.0510452	+	0.998696i	$0.516255\pi$
$761$	−497.612	+	1367.18i	−0.653892	+	1.79655i	−0.602847	+	0.797857i	$0.705967\pi$
$762$		0			0
$763$	33.9858	−	192.743i	0.0445423	−	0.252612i
$764$	249.505	+	144.052i	0.326577	+	0.188549i
$765$		0			0
$766$	9.99966	+	17.3199i	0.0130544	+	0.0226109i
$767$	−262.298	−	720.658i	−0.341979	−	0.939580i
$768$		0			0
$769$	−76.6550	+	64.3212i	−0.0996814	+	0.0836426i	−0.691266	−	0.722600i	$-0.742947\pi$
$769$	−76.6550	+	64.3212i	−0.0996814	+	0.0836426i	0.591585	+	0.806243i	$0.298502\pi$
$770$	496.974	+	592.271i	0.645421	+	0.769182i
$771$		0			0
$772$	−498.714	+	181.517i	−0.646002	+	0.235126i
$773$	547.928	−	316.347i	0.708834	−	0.409245i	−0.101795	−	0.994805i	$-0.532459\pi$
$773$	547.928	−	316.347i	0.708834	−	0.409245i	0.810629	+	0.585560i	$0.199125\pi$
$774$		0			0
$775$	43.9854	−	76.1850i	0.0567554	−	0.0983032i
$776$	606.958	+	107.023i	0.782162	+	0.137916i
$777$		0			0
$778$	−345.583	−	125.782i	−0.444194	−	0.161673i
$779$	−55.4083	+	9.76997i	−0.0711274	+	0.0125417i
$780$		0			0
$781$	−1094.54	−	918.430i	−1.40146	−	1.17597i
$782$			73.0247i			0.0933820i
$783$		0			0
$784$	101.800			0.129847
$785$	480.772	−	572.961i	0.612448	−	0.729887i
$786$		0			0
$787$	−141.639	−	803.275i	−0.179973	−	1.02068i	−0.932245	−	0.361827i	$-0.882153\pi$
$787$	−141.639	−	803.275i	−0.179973	−	1.02068i	0.752272	−	0.658853i	$-0.228958\pi$
$788$	265.515	−	729.497i	0.336948	−	0.925758i
$789$		0			0
$790$	−22.1251	+	125.478i	−0.0280064	+	0.158832i
$791$	164.362	+	94.8944i	0.207790	+	0.119968i
$792$		0			0
$793$	−438.486	−	759.481i	−0.552946	−	0.957731i
$794$	106.448	+	292.463i	0.134065	+	0.368341i
$795$		0			0
$796$	−167.227	+	140.320i	−0.210084	+	0.176281i
$797$	805.218	+	959.622i	1.01031	+	1.20404i	0.978859	+	0.204537i	$0.0655690\pi$
$797$	805.218	+	959.622i	1.01031	+	1.20404i	0.0314530	+	0.999505i	$0.489987\pi$
$798$		0			0
$799$	36.8151	−	13.3996i	0.0460764	−	0.0167704i
$800$	112.957	−	65.2156i	0.141196	−	0.0815196i
$801$		0			0
$802$	56.5776	−	97.9952i	0.0705456	−	0.122189i
$803$	−1054.10	−	185.866i	−1.31270	−	0.231464i
$804$		0			0
$805$	1060.81	+	386.104i	1.31778	+	0.479632i
$806$	284.102	−	50.0948i	0.352484	−	0.0621524i
$807$		0			0
$808$	−28.2593	−	23.7124i	−0.0349744	−	0.0293470i
$809$		−	1021.88i		−	1.26313i	−0.775321	−	0.631567i	$-0.782412\pi$
$809$		−	1021.88i		−	1.26313i	0.775321	−	0.631567i	$-0.217588\pi$
$810$		0			0
$811$	−365.788			−0.451034			−0.225517	−	0.974239i	$-0.572407\pi$
$811$	−365.788			−0.451034			−0.225517	+	0.974239i	$0.572407\pi$
$812$	−455.429	+	542.759i	−0.560873	+	0.668423i
$813$		0			0
$814$	−41.8022	−	237.072i	−0.0513540	−	0.291243i
$815$	73.3804	−	201.611i	0.0900374	−	0.247376i
$816$		0			0
$817$	−28.6145	+	162.281i	−0.0350238	+	0.198630i
$818$	−407.542	−	235.294i	−0.498217	−	0.287646i
$819$		0			0
$820$	−88.8346	−	153.866i	−0.108335	−	0.187641i
$821$	3.31622	+	9.11124i	0.00403924	+	0.0110977i	0.941696	−	0.336465i	$-0.109231\pi$
$821$	3.31622	+	9.11124i	0.00403924	+	0.0110977i	−0.937657	+	0.347563i	$0.887009\pi$
$822$		0			0
$823$	0.684758	−	0.574580i	0.000832027	−	0.000698153i	−0.642372	−	0.766393i	$-0.722049\pi$
$823$	0.684758	−	0.574580i	0.000832027	−	0.000698153i	0.643204	+	0.765695i	$0.277605\pi$
$824$	358.875	+	427.691i	0.435528	+	0.519043i
$825$		0			0
$826$	784.630	−	285.582i	0.949916	−	0.345741i
$827$	583.611	−	336.948i	0.705696	−	0.407434i	−0.103769	−	0.994601i	$-0.533090\pi$
$827$	583.611	−	336.948i	0.705696	−	0.407434i	0.809465	+	0.587168i	$0.199757\pi$
$828$		0			0
$829$	−14.4804	+	25.0808i	−0.0174673	+	0.0302542i	−0.874627	−	0.484797i	$-0.838894\pi$
$829$	−14.4804	+	25.0808i	−0.0174673	+	0.0302542i	0.857160	+	0.515051i	$0.172227\pi$
$830$	−194.495	−	34.2948i	−0.234332	−	0.0413190i
$831$		0			0
$832$	332.575	+	121.048i	0.399730	+	0.145490i
$833$	192.835	−	34.0020i	0.231495	−	0.0408187i
$834$		0			0
$835$	−684.327	−	574.218i	−0.819553	−	0.687686i
$836$			140.816i			0.168440i
$837$		0			0
$838$	136.221			0.162555
$839$	410.558	−	489.284i	0.489342	−	0.583176i	−0.463708	−	0.885988i	$-0.653481\pi$
$839$	410.558	−	489.284i	0.489342	−	0.583176i	0.953050	+	0.302813i	$0.0979257\pi$
$840$		0			0
$841$	34.3625	+	194.880i	0.0408591	+	0.231724i
$842$	207.007	−	568.748i	0.245852	−	0.675473i
$843$		0			0
$844$	53.3518	−	302.573i	0.0632130	−	0.358499i
$845$	199.631	+	115.257i	0.236250	+	0.136399i
$846$		0			0
$847$	−89.1253	−	154.370i	−0.105225	−	0.182254i
$848$	47.5418	+	130.620i	0.0560634	+	0.154033i
$849$		0			0
$850$	11.1745	−	9.37656i	0.0131465	−	0.0110312i
$851$	−225.934	−	269.258i	−0.265493	−	0.316402i
$852$		0			0
$853$	−730.218	+	265.777i	−0.856058	+	0.311580i	−0.732508	−	0.680759i	$-0.761650\pi$
$853$	−730.218	+	265.777i	−0.856058	+	0.311580i	−0.123550	+	0.992338i	$0.539428\pi$
$854$	826.899	−	477.410i	0.968266	−	0.559029i
$855$		0			0
$856$	610.623	−	1057.63i	0.713345	−	1.23555i
$857$	1060.47	+	186.989i	1.23742	+	0.218190i	0.753808	−	0.657095i	$-0.228215\pi$
$857$	1060.47	+	186.989i	1.23742	+	0.218190i	0.483608	+	0.875285i	$0.339326\pi$
$858$		0			0
$859$	76.1002	+	27.6982i	0.0885916	+	0.0322447i	0.385936	−	0.922526i	$-0.373879\pi$
$859$	76.1002	+	27.6982i	0.0885916	+	0.0322447i	−0.297344	+	0.954770i	$0.596101\pi$
$860$	−512.455	+	90.3597i	−0.595878	+	0.105069i
$861$		0			0
$862$	234.415	+	196.697i	0.271943	+	0.228187i
$863$			1599.17i			1.85304i	0.376244	+	0.926520i	$0.377215\pi$
$863$			1599.17i			1.85304i	−0.376244	+	0.926520i	$0.622785\pi$
$864$		0			0
$865$	58.6217			0.0677708
$866$	−523.879	+	624.335i	−0.604941	+	0.720941i
$867$		0			0
$868$	−107.323	−	608.659i	−0.123644	−	0.701221i
$869$	81.8915	−	224.995i	0.0942365	−	0.258913i
$870$		0			0
$871$	−189.447	+	1074.40i	−0.217505	+	1.23353i
$872$	−124.260	−	71.7413i	−0.142500	−	0.0822722i
$873$		0			0
$874$	−52.2449	−	90.4908i	−0.0597767	−	0.103536i
$875$	407.742	+	1120.26i	0.465991	+	1.28030i
$876$		0			0
$877$	−290.011	+	243.348i	−0.330686	+	0.277478i	−0.792979	−	0.609249i	$-0.791471\pi$
$877$	−290.011	+	243.348i	−0.330686	+	0.277478i	0.462294	+	0.886727i	$0.347027\pi$
$878$	330.526	+	393.906i	0.376454	+	0.448640i
$879$		0			0
$880$	−97.5823	+	35.5170i	−0.110889	+	0.0403603i
$881$	1046.81	−	604.374i	1.18820	−	0.686009i	0.230305	−	0.973119i	$-0.426028\pi$
$881$	1046.81	−	604.374i	1.18820	−	0.686009i	0.957898	+	0.287109i	$0.0926943\pi$
$882$		0			0
$883$	298.144	−	516.401i	0.337649	−	0.584826i	−0.646341	−	0.763049i	$-0.723702\pi$
$883$	298.144	−	516.401i	0.337649	−	0.584826i	0.983990	+	0.178223i	$0.0570349\pi$
$884$	−92.6992	−	16.3454i	−0.104863	−	0.0184902i
$885$		0			0
$886$	662.033	+	240.960i	0.747216	+	0.271964i
$887$	100.018	−	17.6359i	0.112760	−	0.0198827i	−0.116983	−	0.993134i	$-0.537322\pi$
$887$	100.018	−	17.6359i	0.112760	−	0.0198827i	0.229743	+	0.973251i	$0.426211\pi$
$888$		0			0
$889$	1260.61	+	1057.78i	1.41801	+	1.18985i
$890$			431.356i			0.484670i
$891$		0			0
$892$	−525.755			−0.589412
$893$	−36.0339	+	42.9435i	−0.0403515	+	0.0480890i
$894$		0			0
$895$	−264.140	−	1498.01i	−0.295129	−	1.67376i
$896$	340.898	−	936.609i	0.380466	−	1.04532i
$897$		0			0
$898$	−80.9504	+	459.092i	−0.0901452	+	0.511239i
$899$	485.835	+	280.497i	0.540417	+	0.312010i
$900$		0			0
$901$	133.684	+	231.548i	0.148373	+	0.256990i
$902$	−58.0325	−	159.443i	−0.0643376	−	0.176766i
$903$		0			0
$904$	106.585	−	89.4357i	0.117904	−	0.0989332i
$905$	−376.459	−	448.646i	−0.415977	−	0.495742i
$906$		0			0
$907$	−1621.56	+	590.201i	−1.78783	+	0.650717i	−0.788466	+	0.615078i	$0.789124\pi$
$907$	−1621.56	+	590.201i	−1.78783	+	0.650717i	−0.999365	+	0.0356391i	$0.988653\pi$
$908$	−11.8330	+	6.83179i	−0.0130319	+	0.00752400i
$909$		0			0
$910$	369.753	−	640.431i	0.406322	−	0.703771i
$911$	307.958	+	54.3013i	0.338044	+	0.0596063i	0.340093	−	0.940392i	$-0.389541\pi$
$911$	307.958	+	54.3013i	0.338044	+	0.0596063i	−0.00204958	+	0.999998i	$0.500652\pi$
$912$		0			0
$913$	348.751	+	126.935i	0.381984	+	0.139031i
$914$	−168.197	+	29.6578i	−0.184023	+	0.0324483i
$915$		0			0
$916$	717.887	+	602.379i	0.783720	+	0.657619i
$917$			1037.84i			1.13177i
$918$		0			0
$919$	198.504			0.216000			0.108000	−	0.994151i	$-0.465555\pi$
$919$	198.504			0.216000			0.108000	+	0.994151i	$0.465555\pi$
$920$	531.977	−	633.985i	0.578235	−	0.689114i
$921$		0			0
$922$	158.338	+	897.981i	0.171734	+	0.973949i
$923$	−467.418	+	1284.22i	−0.506412	+	1.39136i
$924$		0			0
$925$	−12.1924	+	69.1468i	−0.0131810	+	0.0747533i
$926$	−360.397	−	208.075i	−0.389197	−	0.224703i
$927$		0			0
$928$	415.883	+	720.330i	0.448149	+	0.776218i
$929$	−454.801	−	1249.56i	−0.489560	−	1.34505i	−0.901080	−	0.433653i	$-0.857224\pi$
$929$	−454.801	−	1249.56i	−0.489560	−	1.34505i	0.411520	−	0.911401i	$-0.364998\pi$
$930$		0			0
$931$	−214.631	+	180.097i	−0.230538	+	0.193444i
$932$	−239.625	−	285.574i	−0.257108	−	0.306410i
$933$		0			0
$934$	111.199	−	40.4730i	0.119056	−	0.0433330i
$935$	−172.983	+	99.8717i	−0.185008	+	0.106815i
$936$		0			0
$937$	−675.671	+	1170.30i	−0.721100	+	1.24898i	0.239459	+	0.970906i	$0.423030\pi$
$937$	−675.671	+	1170.30i	−0.721100	+	1.24898i	−0.960559	+	0.278076i	$0.910303\pi$
$938$	−1169.78	−	206.264i	−1.24710	−	0.219897i
$939$		0			0
$940$	−166.348	−	60.5458i	−0.176966	−	0.0644104i
$941$	765.457	−	134.971i	0.813451	−	0.143433i	0.248579	−	0.968612i	$-0.420037\pi$
$941$	765.457	−	134.971i	0.813451	−	0.143433i	0.564872	+	0.825178i	$0.308925\pi$
$942$		0			0
$943$	−189.784	−	159.248i	−0.201256	−	0.168874i
$944$			112.150i			0.118803i
$945$		0			0
$946$	−496.949			−0.525316
$947$	−176.311	+	210.119i	−0.186178	+	0.221879i	−0.851058	−	0.525072i	$-0.824038\pi$
$947$	−176.311	+	210.119i	−0.186178	+	0.221879i	0.664880	+	0.746951i	$0.268483\pi$
$948$		0			0
$949$	177.777	+	1008.22i	0.187331	+	1.06240i
$950$	−7.13890	+	19.6140i	−0.00751463	+	0.0206463i
$951$		0			0
$952$	44.6368	−	253.148i	0.0468874	−	0.265911i
$953$	−858.313	−	495.548i	−0.900644	−	0.519987i	−0.0232347	−	0.999730i	$-0.507397\pi$
$953$	−858.313	−	495.548i	−0.900644	−	0.519987i	−0.877409	+	0.479743i	$0.840730\pi$
$954$		0			0
$955$	−292.376	−	506.410i	−0.306153	−	0.530272i
$956$	−133.954	−	368.036i	−0.140119	−	0.384975i
$957$		0			0
$958$	112.387	−	94.3038i	0.117314	−	0.0984382i
$959$	−444.583	−	529.834i	−0.463591	−	0.552486i
$960$		0			0
$961$	443.198	−	161.311i	0.461184	−	0.167857i
$962$	−199.405	+	115.126i	−0.207281	+	0.119674i
$963$		0			0
$964$	−403.678	+	699.190i	−0.418753	+	0.725301i
$965$	1060.82	+	187.051i	1.09929	+	0.193835i
$966$		0			0
$967$	−293.609	−	106.865i	−0.303629	−	0.110512i	0.185713	−	0.982604i	$-0.440541\pi$
$967$	−293.609	−	106.865i	−0.303629	−	0.110512i	−0.489341	+	0.872092i	$0.662763\pi$
$968$	−128.693	+	22.6921i	−0.132947	+	0.0234422i
$969$		0			0
$970$	−382.052	−	320.580i	−0.393868	−	0.330494i
$971$		−	487.838i		−	0.502407i	−0.967934	−	0.251204i	$-0.919174\pi$
$971$		−	487.838i		−	0.502407i	0.967934	−	0.251204i	$-0.0808264\pi$
$972$		0			0
$973$	1319.96			1.35659
$974$	338.806	−	403.773i	0.347850	−	0.414551i
$975$		0			0
$976$	22.2695	+	126.297i	0.0228171	+	0.129402i
$977$	220.199	−	604.992i	0.225383	−	0.619235i	−0.774528	−	0.632539i	$-0.782013\pi$
$977$	220.199	−	604.992i	0.225383	−	0.619235i	0.999911	+	0.0133043i	$0.00423501\pi$
$978$		0			0
$979$	140.760	−	798.288i	0.143779	−	0.815412i
$980$	−766.227	−	442.382i	−0.781865	−	0.451410i
$981$		0			0
$982$	183.483	+	317.802i	0.186846	+	0.323627i
$983$	526.650	+	1446.96i	0.535758	+	1.47198i	0.852121	+	0.523345i	$0.175316\pi$
$983$	526.650	+	1446.96i	0.535758	+	1.47198i	−0.316363	+	0.948638i	$0.602462\pi$
$984$		0			0
$985$	−1207.02	+	1012.81i	−1.22540	+	1.02824i
$986$	59.7947	+	71.2605i	0.0606437	+	0.0722723i
$987$		0			0
$988$	126.565	−	46.0659i	0.128102	−	0.0466254i
$989$	−628.389	+	362.801i	−0.635378	+	0.366836i
$990$		0			0
$991$	−155.571	+	269.456i	−0.156984	+	0.271903i	−0.933780	−	0.357849i	$-0.883510\pi$
$991$	−155.571	+	269.456i	−0.156984	+	0.271903i	0.776796	+	0.629752i	$0.216844\pi$
$992$	−714.533	−	125.991i	−0.720295	−	0.127007i
$993$		0			0
$994$	−1398.22	−	508.911i	−1.40666	−	0.511983i
$995$	436.342	−	76.9388i	0.438534	−	0.0773255i
$996$		0			0
$997$	−36.9462	−	31.0015i	−0.0370574	−	0.0310948i	0.624071	−	0.781368i	$-0.285478\pi$
$997$	−36.9462	−	31.0015i	−0.0370574	−	0.0310948i	−0.661128	+	0.750273i	$0.729922\pi$
$998$		−	141.953i		−	0.142238i
$999$		0			0

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	243.3.f.a.107.4		30
3.2	odd	2		243.3.f.d.107.2		30
9.2	odd	6		27.3.f.a.2.4	✓	30
9.4	even	3		243.3.f.b.188.4		30
9.5	odd	6		243.3.f.c.188.2		30
9.7	even	3		81.3.f.a.8.2		30
27.4	even	9		27.3.f.a.14.4	yes	30
27.5	odd	18	inner	243.3.f.a.134.4		30
27.7	even	9		729.3.b.a.728.12		30
27.13	even	9		243.3.f.c.53.2		30
27.14	odd	18		243.3.f.b.53.4		30
27.20	odd	18		729.3.b.a.728.19		30
27.22	even	9		243.3.f.d.134.2		30
27.23	odd	18		81.3.f.a.71.2		30
36.11	even	6		432.3.bc.a.353.3		30
108.31	odd	18		432.3.bc.a.257.3		30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
27.3.f.a.2.4	✓	30	9.2	odd	6
27.3.f.a.14.4	yes	30	27.4	even	9
81.3.f.a.8.2		30	9.7	even	3
81.3.f.a.71.2		30	27.23	odd	18
243.3.f.a.107.4		30	1.1	even	1	trivial
243.3.f.a.134.4		30	27.5	odd	18	inner
243.3.f.b.53.4		30	27.14	odd	18
243.3.f.b.188.4		30	9.4	even	3
243.3.f.c.53.2		30	27.13	even	9
243.3.f.c.188.2		30	9.5	odd	6
243.3.f.d.107.2		30	3.2	odd	2
243.3.f.d.134.2		30	27.22	even	9
432.3.bc.a.257.3		30	108.31	odd	18
432.3.bc.a.353.3		30	36.11	even	6
729.3.b.a.728.12		30	27.7	even	9
729.3.b.a.728.19		30	27.20	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 243 = 3^{5} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	243.f (of order \(18\), degree \(6\), not minimal)

\(f(q)\)	\(=\)	\(q+(0.746252 - 0.889349i) q^{2} +(0.460544 + 2.61187i) q^{4} +(1.84110 - 5.05837i) q^{5} +(-1.82927 + 10.3743i) q^{7} +(6.68824 + 3.86146i) q^{8} +(-3.12473 - 5.41219i) q^{10} +(4.01667 + 11.0357i) q^{11} +(8.60488 - 7.22035i) q^{13} +(7.86129 + 9.36873i) q^{14} +(-1.54359 + 0.561820i) q^{16} +(-2.73630 + 1.57980i) q^{17} +(2.26051 - 3.91532i) q^{19} +(14.0597 + 2.47911i) q^{20} +(12.8121 + 4.66321i) q^{22} +(19.6052 - 3.45692i) q^{23} +(-3.04634 - 2.55619i) q^{25} -13.0409i q^{26} -27.9389 q^{28} +(16.3009 - 19.4267i) q^{29} +(3.84135 + 21.7854i) q^{31} +(-11.2178 + 30.8207i) q^{32} +(-0.636973 + 3.61245i) q^{34} +(49.1093 + 28.3533i) q^{35} +(-8.82807 - 15.2907i) q^{37} +(-1.79517 - 4.93220i) q^{38} +(31.8464 - 26.7223i) q^{40} +(-7.99934 - 9.53324i) q^{41} +(-34.2503 + 12.4661i) q^{43} +(-26.9741 + 15.5735i) q^{44} +(11.5560 - 20.0156i) q^{46} +(-12.2112 - 2.15316i) q^{47} +(-58.2355 - 21.1960i) q^{49} +(-4.54668 + 0.801703i) q^{50} +(22.8216 + 19.1496i) q^{52} -84.6210i q^{53} +63.2178 q^{55} +(-52.2946 + 62.3223i) q^{56} +(-5.11249 - 28.9944i) q^{58} +(23.3509 - 64.1562i) q^{59} +(13.5571 - 76.8859i) q^{61} +(22.2414 + 12.8411i) q^{62} +(15.7537 + 27.2863i) q^{64} +(-20.6808 - 56.8200i) q^{65} +(-74.4011 + 62.4300i) q^{67} +(-5.38643 - 6.41930i) q^{68} +(61.8639 - 22.5166i) q^{70} +(-105.364 + 60.8322i) q^{71} +(-45.5705 + 78.9304i) q^{73} +(-20.1867 - 3.55946i) q^{74} +(11.2674 + 4.10099i) q^{76} +(-121.836 + 21.4829i) q^{77} +(-15.6180 - 13.1051i) q^{79} +8.84240i q^{80} -14.4479 q^{82} +(20.3134 - 24.2086i) q^{83} +(2.95344 + 16.7498i) q^{85} +(-14.4727 + 39.7634i) q^{86} +(-15.7495 + 89.3198i) q^{88} +(-59.7756 - 34.5114i) q^{89} +(59.1656 + 102.478i) q^{91} +(18.0581 + 49.6142i) q^{92} +(-11.0276 + 9.25321i) q^{94} +(-15.6433 - 18.6430i) q^{95} +(74.9914 - 27.2946i) q^{97} +(-62.3089 + 35.9741i) q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 3 q^{2} + 3 q^{4} - 21 q^{5} + 3 q^{7} + 9 q^{8} - 3 q^{10} - 57 q^{11} + 3 q^{13} + 114 q^{14} + 27 q^{16} + 9 q^{17} - 3 q^{19} + 183 q^{20} + 75 q^{22} - 48 q^{23} + 21 q^{25} - 12 q^{28} + 78 q^{29}+ \cdots - 882 q^{98}+O(q^{100}) \) 30 * q - 3 * q^2 + 3 * q^4 - 21 * q^5 + 3 * q^7 + 9 * q^8 - 3 * q^10 - 57 * q^11 + 3 * q^13 + 114 * q^14 + 27 * q^16 + 9 * q^17 - 3 * q^19 + 183 * q^20 + 75 * q^22 - 48 * q^23 + 21 * q^25 - 12 * q^28 + 78 * q^29 - 87 * q^31 - 243 * q^32 - 153 * q^34 + 252 * q^35 - 3 * q^37 - 321 * q^38 - 168 * q^40 + 357 * q^41 - 87 * q^43 - 639 * q^44 - 3 * q^46 + 51 * q^47 - 69 * q^49 - 168 * q^50 - 36 * q^52 - 12 * q^55 + 177 * q^56 + 138 * q^58 - 48 * q^59 + 147 * q^61 + 900 * q^62 - 51 * q^64 - 624 * q^65 + 12 * q^67 + 477 * q^68 - 6 * q^70 - 315 * q^71 - 66 * q^73 + 480 * q^74 - 57 * q^76 - 453 * q^77 - 15 * q^79 - 12 * q^82 + 591 * q^83 + 243 * q^85 - 669 * q^86 + 591 * q^88 - 72 * q^89 + 96 * q^91 - 564 * q^92 + 957 * q^94 + 606 * q^95 + 696 * q^97 - 882 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more