LMFDB - Embedded newform 189.2.ba.a.101.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [189,2,Mod(5,189)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("189.5"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(189, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([5, 15])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 189 = 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	189.ba (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.50917259820$
Analytic rank:	$0$
Dimension:	$132$
Relative dimension:	$22$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.1
Character	$\chi$	$=$	189.101
Dual form			189.2.ba.a.131.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.63361 + 1.94686i) q^{2} +(1.01544 - 1.40317i) q^{3} +(-0.774283 - 4.39118i) q^{4} +(-0.356523 + 0.299159i) q^{5} +(1.07294 + 4.26914i) q^{6} +(-2.41592 - 1.07857i) q^{7} +(5.41196 + 3.12460i) q^{8} +(-0.937767 - 2.84967i) q^{9} -1.18281i q^{10} +(1.58990 - 1.89477i) q^{11} +(-6.94780 - 3.37252i) q^{12} +(2.13324 - 5.86102i) q^{13} +(6.04649 - 2.94150i) q^{14} +(0.0577423 + 0.804040i) q^{15} +(-6.54413 + 2.38187i) q^{16} +0.673165 q^{17} +(7.07983 + 2.82953i) q^{18} -0.725344i q^{19} +(1.58971 + 1.33392i) q^{20} +(-3.96664 + 2.29473i) q^{21} +(1.09157 + 6.19062i) q^{22} +(-1.10753 + 3.04291i) q^{23} +(9.87985 - 4.42106i) q^{24} +(-0.830628 + 4.71072i) q^{25} +(7.92569 + 13.7277i) q^{26} +(-4.95081 - 1.57782i) q^{27} +(-2.86558 + 11.4439i) q^{28} +(-1.84864 - 5.07909i) q^{29} +(-1.65968 - 1.20107i) q^{30} +(6.82052 - 1.20264i) q^{31} +(1.77867 - 4.88687i) q^{32} +(-1.04424 - 4.15493i) q^{33} +(-1.09969 + 1.31055i) q^{34} +(1.18400 - 0.338210i) q^{35} +(-11.7873 + 6.32435i) q^{36} +(3.70433 - 6.41609i) q^{37} +(1.41214 + 1.18493i) q^{38} +(-6.05783 - 8.94480i) q^{39} +(-2.86424 + 0.505043i) q^{40} +(-3.54917 - 1.29179i) q^{41} +(2.01242 - 11.4712i) q^{42} +(-1.41606 + 8.03089i) q^{43} +(-9.55132 - 5.51446i) q^{44} +(1.18684 + 0.735431i) q^{45} +(-4.11484 - 7.12711i) q^{46} +(-1.58499 + 8.98890i) q^{47} +(-3.30300 + 11.6012i) q^{48} +(4.67338 + 5.21148i) q^{49} +(-7.81418 - 9.31258i) q^{50} +(0.683558 - 0.944564i) q^{51} +(-27.3885 - 4.82933i) q^{52} +(-11.5438 - 6.66480i) q^{53} +(11.1595 - 7.06098i) q^{54} +1.15116i q^{55} +(-9.70479 - 13.3860i) q^{56} +(-1.01778 - 0.736543i) q^{57} +(12.9082 + 4.69821i) q^{58} +(10.2419 + 3.72774i) q^{59} +(3.48597 - 0.876111i) q^{60} +(0.919898 + 0.162203i) q^{61} +(-8.80068 + 15.2432i) q^{62} +(-0.807987 + 7.89602i) q^{63} +(-0.355740 - 0.616160i) q^{64} +(0.992826 + 2.72777i) q^{65} +(9.79492 + 4.75454i) q^{66} +(-0.0184408 + 0.0154737i) q^{67} +(-0.521220 - 2.95599i) q^{68} +(3.14509 + 4.64393i) q^{69} +(-1.27574 + 2.85757i) q^{70} +(8.62973 - 4.98238i) q^{71} +(3.82890 - 18.3524i) q^{72} +(-2.49239 + 1.43898i) q^{73} +(6.43979 + 17.6932i) q^{74} +(5.76649 + 5.94897i) q^{75} +(-3.18511 + 0.561622i) q^{76} +(-5.88473 + 2.86281i) q^{77} +(27.3103 + 2.81856i) q^{78} +(0.843560 + 0.707831i) q^{79} +(1.62058 - 2.80692i) q^{80} +(-7.24119 + 5.34464i) q^{81} +(8.31288 - 4.79945i) q^{82} +(-4.97140 + 1.80944i) q^{83} +(13.1479 + 15.6414i) q^{84} +(-0.239999 + 0.201383i) q^{85} +(-13.3217 - 15.8762i) q^{86} +(-9.00401 - 2.56356i) q^{87} +(14.5249 - 5.28663i) q^{88} +10.2028 q^{89} +(-3.37060 + 1.10920i) q^{90} +(-11.4753 + 11.8589i) q^{91} +(14.2195 + 2.50728i) q^{92} +(5.23832 - 10.7916i) q^{93} +(-14.9109 - 17.7701i) q^{94} +(0.216993 + 0.258602i) q^{95} +(-5.05097 - 7.45810i) q^{96} +(18.3280 + 3.23172i) q^{97} +(-17.7805 + 0.584889i) q^{98} +(-6.89043 - 2.75384i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) $ 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 18 * q^6 - 6 * q^7 - 18 * q^8 + 3 * q^9 - 9 * q^11 - 9 * q^12 + 3 * q^14 - 24 * q^15 + 3 * q^16 - 18 * q^17 - 3 * q^18 + 18 * q^20 - 21 * q^21 - 12 * q^22 - 6 * q^23 - 9 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 + 51 * q^30 - 9 * q^31 + 3 * q^32 - 9 * q^33 - 18 * q^34 + 18 * q^35 + 3 * q^37 - 99 * q^38 - 36 * q^39 - 54 * q^40 - 45 * q^42 - 12 * q^43 - 9 * q^44 - 9 * q^45 + 3 * q^46 + 45 * q^47 - 24 * q^49 - 9 * q^50 - 48 * q^51 - 9 * q^52 - 45 * q^53 + 171 * q^54 + 3 * q^56 - 3 * q^58 + 36 * q^59 + 57 * q^60 - 9 * q^61 - 99 * q^62 - 33 * q^63 + 18 * q^64 + 69 * q^65 - 9 * q^66 - 3 * q^67 + 36 * q^68 + 108 * q^69 + 66 * q^70 + 18 * q^71 - 129 * q^72 - 9 * q^73 + 75 * q^74 + 36 * q^75 + 36 * q^76 + 15 * q^77 + 66 * q^78 - 21 * q^79 + 72 * q^80 - 33 * q^81 - 18 * q^82 - 90 * q^83 - 120 * q^84 + 9 * q^85 - 105 * q^86 - 54 * q^87 - 63 * q^88 - 18 * q^89 + 81 * q^90 + 6 * q^91 + 150 * q^92 + 21 * q^93 - 9 * q^94 + 45 * q^95 - 81 * q^96 + 27 * q^98 + 96 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/189\mathbb{Z}\right)^\times$.

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.63361	+	1.94686i	−1.15513	+	1.37664i	−0.241348	+	0.970439i	$0.577590\pi$
$2$	−1.63361	+	1.94686i	−1.15513	+	1.37664i	−0.913786	+	0.406197i	$0.866855\pi$
$3$	1.01544	−	1.40317i	0.586264	−	0.810120i
$3$	1.01544	−	1.40317i	0.586264	−	0.810120i
$4$	−0.774283	−	4.39118i	−0.387142	−	2.19559i
$5$	−0.356523	+	0.299159i	−0.159442	+	0.133788i	−0.719018	−	0.694991i	$-0.755408\pi$
$5$	−0.356523	+	0.299159i	−0.159442	+	0.133788i	0.559576	+	0.828779i	$0.310964\pi$
$6$	1.07294	+	4.26914i	0.438026	+	1.74287i
$7$	−2.41592	−	1.07857i	−0.913133	−	0.407661i
$7$	−2.41592	−	1.07857i	−0.913133	−	0.407661i
$8$	5.41196	+	3.12460i	1.91342	+	1.10471i
$9$	−0.937767	−	2.84967i	−0.312589	−	0.949889i
$10$		−	1.18281i		−	0.374036i
$11$	1.58990	−	1.89477i	0.479374	−	0.571295i	−0.471108	−	0.882075i	$-0.656146\pi$
$11$	1.58990	−	1.89477i	0.479374	−	0.571295i	0.950482	+	0.310780i	$0.100590\pi$
$12$	−6.94780	−	3.37252i	−2.00566	−	0.973564i
$13$	2.13324	−	5.86102i	0.591653	−	1.62555i	−0.175783	−	0.984429i	$-0.556246\pi$
$13$	2.13324	−	5.86102i	0.591653	−	1.62555i	0.767436	−	0.641125i	$-0.221532\pi$
$14$	6.04649	−	2.94150i	1.61599	−	0.786149i
$15$	0.0577423	+	0.804040i	0.0149090	+	0.207602i
$16$	−6.54413	+	2.38187i	−1.63603	+	0.595467i
$17$	0.673165			0.163266			0.0816332	−	0.996662i	$-0.473986\pi$
$17$	0.673165			0.163266			0.0816332	+	0.996662i	$0.473986\pi$
$18$	7.07983	+	2.82953i	1.66873	+	0.666928i
$19$		−	0.725344i		−	0.166405i	−0.996533	−	0.0832027i	$-0.973485\pi$
$19$		−	0.725344i		−	0.166405i	0.996533	−	0.0832027i	$-0.0265149\pi$
$20$	1.58971	+	1.33392i	0.355470	+	0.298274i
$21$	−3.96664	+	2.29473i	−0.865591	+	0.500751i
$22$	1.09157	+	6.19062i	0.232724	+	1.31985i
$23$	−1.10753	+	3.04291i	−0.230935	+	0.634490i	−0.999989	−	0.00469449i	$-0.998506\pi$
$23$	−1.10753	+	3.04291i	−0.230935	+	0.634490i	0.769054	+	0.639184i	$0.220728\pi$
$24$	9.87985	−	4.42106i	2.01672	−	0.902445i
$25$	−0.830628	+	4.71072i	−0.166126	+	0.942145i
$26$	7.92569	+	13.7277i	1.55436	+	2.69222i
$27$	−4.95081	−	1.57782i	−0.952783	−	0.303651i
$28$	−2.86558	+	11.4439i	−0.541543	+	2.16269i
$29$	−1.84864	−	5.07909i	−0.343284	−	0.943164i	−0.984435	−	0.175750i	$-0.943765\pi$
$29$	−1.84864	−	5.07909i	−0.343284	−	0.943164i	0.641151	−	0.767415i	$-0.278457\pi$
$30$	−1.65968	−	1.20107i	−0.303014	−	0.219284i
$31$	6.82052	−	1.20264i	1.22500	−	0.216001i	0.476525	−	0.879161i	$-0.341896\pi$
$31$	6.82052	−	1.20264i	1.22500	−	0.216001i	0.748478	+	0.663160i	$0.230785\pi$
$32$	1.77867	−	4.88687i	0.314428	−	0.863884i
$33$	−1.04424	−	4.15493i	−0.181778	−	0.723280i
$34$	−1.09969	+	1.31055i	−0.188595	+	0.224758i
$35$	1.18400	−	0.338210i	0.200132	−	0.0571678i
$36$	−11.7873	+	6.32435i	−1.96455	+	1.05406i
$37$	3.70433	−	6.41609i	0.608988	−	1.05480i	−0.382419	−	0.923989i	$-0.624909\pi$
$37$	3.70433	−	6.41609i	0.608988	−	1.05480i	0.991407	−	0.130810i	$-0.0417578\pi$
$38$	1.41214	+	1.18493i	0.229079	+	0.192220i
$39$	−6.05783	−	8.94480i	−0.970029	−	1.43231i
$40$	−2.86424	+	0.505043i	−0.452876	+	0.0798543i
$41$	−3.54917	−	1.29179i	−0.554287	−	0.201744i	0.0496629	−	0.998766i	$-0.484185\pi$
$41$	−3.54917	−	1.29179i	−0.554287	−	0.201744i	−0.603950	+	0.797022i	$0.706408\pi$
$42$	2.01242	−	11.4712i	0.310523	−	1.77004i
$43$	−1.41606	+	8.03089i	−0.215948	+	1.22470i	0.663307	+	0.748348i	$0.269152\pi$
$43$	−1.41606	+	8.03089i	−0.215948	+	1.22470i	−0.879254	+	0.476352i	$0.841959\pi$
$44$	−9.55132	−	5.51446i	−1.43992	−	0.831335i
$45$	1.18684	+	0.735431i	0.176923	+	0.109632i
$46$	−4.11484	−	7.12711i	−0.606700	−	1.05083i
$47$	−1.58499	+	8.98890i	−0.231194	+	1.31117i	0.619289	+	0.785163i	$0.287421\pi$
$47$	−1.58499	+	8.98890i	−0.231194	+	1.31117i	−0.850483	+	0.526003i	$0.823690\pi$
$48$	−3.30300	+	11.6012i	−0.476747	+	1.67448i
$49$	4.67338	+	5.21148i	0.667626	+	0.744497i
$50$	−7.81418	−	9.31258i	−1.10509	−	1.31700i
$51$	0.683558	−	0.944564i	0.0957172	−	0.132265i
$52$	−27.3885	−	4.82933i	−3.79810	−	0.669708i
$53$	−11.5438	−	6.66480i	−1.58566	−	0.915480i	−0.994011	−	0.109283i	$-0.965144\pi$
$53$	−11.5438	−	6.66480i	−1.58566	−	0.915480i	−0.591647	−	0.806197i	$-0.701522\pi$
$54$	11.1595	−	7.06098i	1.51861	−	0.960877i
$55$			1.15116i			0.155223i
$56$	−9.70479	−	13.3860i	−1.29686	−	1.78877i
$57$	−1.01778	−	0.736543i	−0.134808	−	0.0975575i
$58$	12.9082	+	4.69821i	1.69493	+	0.616905i
$59$	10.2419	+	3.72774i	1.33338	+	0.485310i	0.907721	−	0.419574i	$-0.137820\pi$
$59$	10.2419	+	3.72774i	1.33338	+	0.485310i	0.425658	+	0.904884i	$0.360043\pi$
$60$	3.48597	−	0.876111i	0.450037	−	0.113105i
$61$	0.919898	+	0.162203i	0.117781	+	0.0207680i	0.232228	−	0.972661i	$-0.425398\pi$
$61$	0.919898	+	0.162203i	0.117781	+	0.0207680i	−0.114447	+	0.993429i	$0.536510\pi$
$62$	−8.80068	+	15.2432i	−1.11769	+	1.93589i
$63$	−0.807987	+	7.89602i	−0.101797	+	0.994805i
$64$	−0.355740	−	0.616160i	−0.0444675	−	0.0770200i
$65$	0.992826	+	2.72777i	0.123145	+	0.338338i
$66$	9.79492	+	4.75454i	1.20567	+	0.585243i
$67$	−0.0184408	+	0.0154737i	−0.00225290	+	0.00189041i	−0.643913	−	0.765098i	$-0.722690\pi$
$67$	−0.0184408	+	0.0154737i	−0.00225290	+	0.00189041i	0.641660	+	0.766989i	$0.278246\pi$
$68$	−0.521220	−	2.95599i	−0.0632072	−	0.358466i
$69$	3.14509	+	4.64393i	0.378624	+	0.559064i
$70$	−1.27574	+	2.85757i	−0.152480	+	0.341545i
$71$	8.62973	−	4.98238i	1.02416	−	0.591300i	0.108854	−	0.994058i	$-0.465282\pi$
$71$	8.62973	−	4.98238i	1.02416	−	0.591300i	0.915306	+	0.402758i	$0.131948\pi$
$72$	3.82890	−	18.3524i	0.451240	−	2.16285i
$73$	−2.49239	+	1.43898i	−0.291712	+	0.168420i	−0.638714	−	0.769444i	$-0.720533\pi$
$73$	−2.49239	+	1.43898i	−0.291712	+	0.168420i	0.347002	+	0.937865i	$0.387200\pi$
$74$	6.43979	+	17.6932i	0.748610	+	2.05679i
$75$	5.76649	+	5.94897i	0.665857	+	0.686927i
$76$	−3.18511	+	0.561622i	−0.365358	+	0.0644224i
$77$	−5.88473	+	2.86281i	−0.670627	+	0.326247i
$78$	27.3103	+	2.81856i	3.09229	+	0.319139i
$79$	0.843560	+	0.707831i	0.0949080	+	0.0796372i	0.689007	−	0.724755i	$-0.258047\pi$
$79$	0.843560	+	0.707831i	0.0949080	+	0.0796372i	−0.594099	+	0.804392i	$0.702491\pi$
$80$	1.62058	−	2.80692i	0.181186	−	0.313824i
$81$	−7.24119	+	5.34464i	−0.804576	+	0.593849i
$82$	8.31288	−	4.79945i	0.918004	−	0.530010i
$83$	−4.97140	+	1.80944i	−0.545682	+	0.198612i	−0.600127	−	0.799905i	$-0.704883\pi$
$83$	−4.97140	+	1.80944i	−0.545682	+	0.198612i	0.0544449	+	0.998517i	$0.482661\pi$
$84$	13.1479	+	15.6414i	1.43455	+	1.70662i
$85$	−0.239999	+	0.201383i	−0.0260315	+	0.0218431i
$86$	−13.3217	−	15.8762i	−1.43652	−	1.71197i
$87$	−9.00401	−	2.56356i	−0.965331	−	0.274842i
$88$	14.5249	−	5.28663i	1.54836	−	0.563557i
$89$	10.2028			1.08150			0.540749	−	0.841184i	$-0.318141\pi$
$89$	10.2028			1.08150			0.540749	+	0.841184i	$0.318141\pi$
$90$	−3.37060	+	1.10920i	−0.355293	+	0.116920i
$91$	−11.4753	+	11.8589i	−1.20293	+	1.24315i
$92$	14.2195	+	2.50728i	1.48248	+	0.261402i
$93$	5.23832	−	10.7916i	0.543188	−	1.11903i
$94$	−14.9109	−	17.7701i	−1.53794	−	1.83284i
$95$	0.216993	+	0.258602i	0.0222630	+	0.0265320i
$96$	−5.05097	−	7.45810i	−0.515512	−	0.761189i
$97$	18.3280	+	3.23172i	1.86092	+	0.328131i	0.987349	−	0.158559i	$-0.0506848\pi$
$97$	18.3280	+	3.23172i	1.86092	+	0.328131i	0.873575	+	0.486690i	$0.161796\pi$
$98$	−17.7805	+	0.584889i	−1.79610	+	0.0590828i
$99$	−6.89043	−	2.75384i	−0.692514	−	0.276771i
$100$	21.3288			2.13288
$101$	−1.00210	+	0.364734i	−0.0997124	+	0.0362924i	−0.391395	−	0.920223i	$-0.628007\pi$
$101$	−1.00210	+	0.364734i	−0.0997124	+	0.0362924i	0.291682	+	0.956515i	$0.405785\pi$
$102$	0.722266	+	2.87383i	0.0715150	+	0.284552i
$103$	3.63501	+	4.33204i	0.358169	+	0.426849i	0.914798	−	0.403912i	$-0.132350\pi$
$103$	3.63501	+	4.33204i	0.358169	+	0.426849i	−0.556629	+	0.830761i	$0.687906\pi$
$104$	29.8583	−	25.0541i	2.92785	−	2.45676i
$105$	0.727711	−	2.00478i	0.0710173	−	0.195646i
$106$	31.8334	−	11.5864i	3.09193	−	1.12537i
$107$	−2.29684	+	1.32608i	−0.222044	+	0.128197i	−0.606897	−	0.794781i	$-0.707586\pi$
$107$	−2.29684	+	1.32608i	−0.222044	+	0.128197i	0.384852	+	0.922978i	$0.374252\pi$
$108$	−3.09515	+	22.9616i	−0.297831	+	2.20948i
$109$	5.69975	−	9.87226i	0.545937	−	0.945591i	−0.452610	−	0.891709i	$-0.649507\pi$
$109$	5.69975	−	9.87226i	0.545937	−	0.945591i	0.998547	−	0.0538826i	$-0.0171597\pi$
$110$	−2.24115	−	1.88055i	−0.213685	−	0.179303i
$111$	−5.24134	−	11.7130i	−0.497486	−	1.11174i
$112$	18.3791	+	1.30388i	1.73666	+	0.123205i
$113$	−6.99660	+	1.23369i	−0.658184	+	0.116056i	−0.492758	−	0.870166i	$-0.664011\pi$
$113$	−6.99660	+	1.23369i	−0.658184	+	0.116056i	−0.165427	+	0.986222i	$0.552900\pi$
$114$	3.09659	−	0.778251i	0.290023	−	0.0728899i
$115$	−0.515452	−	1.41619i	−0.0480662	−	0.132061i
$116$	−20.8718	+	12.0504i	−1.93790	+	1.11885i
$117$	−18.7024	−	0.582743i	−1.72904	−	0.0538746i
$118$	−23.9886	+	13.8498i	−2.20833	+	1.27498i
$119$	−1.62631	−	0.726054i	−0.149084	−	0.0665573i
$120$	−2.19980	+	4.53185i	−0.200813	+	0.413700i
$121$	0.847758	+	4.80788i	0.0770689	+	0.437080i
$122$	−1.81854	+	1.52593i	−0.164643	+	0.138152i
$123$	−5.41657	+	3.66835i	−0.488396	+	0.330764i
$124$	−10.5620	−	29.0189i	−0.948498	−	2.60598i
$125$	−2.27664	−	3.94325i	−0.203628	−	0.352695i
$126$	−14.0525	−	14.4720i	−1.25189	−	1.28927i
$127$	−4.69551	+	8.13286i	−0.416659	+	0.721675i	−0.995601	−	0.0936941i	$-0.970132\pi$
$127$	−4.69551	+	8.13286i	−0.416659	+	0.721675i	0.578942	+	0.815369i	$0.303466\pi$
$128$	12.0237	+	2.12010i	1.06275	+	0.187392i
$129$	9.83078	+	10.1419i	0.865552	+	0.892941i
$130$	−6.93245	−	2.52321i	−0.608016	−	0.221300i
$131$	7.67063	+	2.79188i	0.670186	+	0.243928i	0.654628	−	0.755951i	$-0.272825\pi$
$131$	7.67063	+	2.79188i	0.670186	+	0.243928i	0.0155582	+	0.999879i	$0.495047\pi$
$132$	−17.4365	+	7.80252i	−1.51765	+	0.679122i
$133$	−0.782333	+	1.75238i	−0.0678369	+	0.151950i
$134$		−	0.0611794i		−	0.00528510i
$135$	2.23710	−	0.918548i	0.192539	−	0.0790560i
$136$	3.64314	+	2.10337i	0.312397	+	0.180362i
$137$	20.1527	+	3.55346i	1.72176	+	0.303593i	0.945210	−	0.326464i	$-0.105857\pi$
$137$	20.1527	+	3.55346i	1.72176	+	0.303593i	0.776549	+	0.630056i	$0.216968\pi$
$138$	−14.1789	−	1.46333i	−1.20699	−	0.124567i
$139$	0.533744	+	0.636091i	0.0452715	+	0.0539525i	0.788205	−	0.615413i	$-0.211011\pi$
$139$	0.533744	+	0.636091i	0.0452715	+	0.0539525i	−0.742934	+	0.669365i	$0.766566\pi$
$140$	−2.40189	−	4.93727i	−0.202996	−	0.417275i
$141$	11.0035	+	11.3517i	0.926661	+	0.955985i
$142$	−4.39761	+	24.9401i	−0.369039	+	2.09293i
$143$	−7.71366	−	13.3605i	−0.645049	−	1.11726i
$144$	12.9244	+	16.4149i	1.07703	+	1.36791i
$145$	2.17854	+	1.25778i	0.180918	+	0.104453i
$146$	1.27009	−	7.20305i	0.105114	−	0.596129i
$147$	12.0581	−	1.26560i	0.994537	−	0.104385i
$148$	−31.0424	−	11.2985i	−2.55167	−	0.928732i
$149$	2.20568	−	0.388921i	0.180696	−	0.0318616i	−0.0825677	−	0.996585i	$-0.526312\pi$
$149$	2.20568	−	0.388921i	0.180696	−	0.0318616i	0.263264	+	0.964724i	$0.415201\pi$
$150$	−21.0020	+	1.50826i	−1.71480	+	0.123149i
$151$	−2.25469	−	1.89191i	−0.183484	−	0.153961i	0.546419	−	0.837512i	$-0.315991\pi$
$151$	−2.25469	−	1.89191i	−0.183484	−	0.153961i	−0.729903	+	0.683550i	$0.760435\pi$
$152$	2.26641	−	3.92553i	0.183830	−	0.318403i
$153$	−0.631271	−	1.91829i	−0.0510353	−	0.155085i
$154$	4.03985	−	16.1334i	0.325541	−	1.30007i
$155$	−2.07189	+	2.46919i	−0.166419	+	0.198330i
$156$	−34.5877	+	33.5268i	−2.76923	+	2.68429i
$157$	3.04333	−	8.36148i	0.242884	−	0.667319i	−0.757019	−	0.653393i	$-0.773345\pi$
$157$	3.04333	−	8.36148i	0.242884	−	0.667319i	0.999903	−	0.0139259i	$-0.00443289\pi$
$158$	−2.75609	+	0.485973i	−0.219263	+	0.0386620i
$159$	−21.0738	+	9.43016i	−1.67126	+	0.747860i
$160$	0.827810	+	2.27439i	0.0654441	+	0.179806i
$161$	5.95769	−	6.15689i	0.469531	−	0.485231i
$162$	1.42400	−	22.8286i	0.111880	−	1.79358i
$163$	0.888889	+	1.53960i	0.0696232	+	0.120591i	0.898735	−	0.438491i	$-0.144487\pi$
$163$	0.888889	+	1.53960i	0.0696232	+	0.120591i	−0.829112	+	0.559082i	$0.811154\pi$
$164$	−2.92443	+	16.5853i	−0.228359	+	1.29509i
$165$	1.61528	+	1.16894i	0.125749	+	0.0910016i
$166$	4.59859	−	12.6345i	0.356920	−	0.980629i
$167$	1.50485	+	8.53440i	0.116448	+	0.660412i	0.986023	+	0.166610i	$0.0532821\pi$
$167$	1.50485	+	8.53440i	0.116448	+	0.660412i	−0.869574	+	0.493802i	$0.835607\pi$
$168$	−28.6374	+	0.0248373i	−2.20942	+	0.00191624i
$169$	−19.8423	−	16.6496i	−1.52633	−	1.28074i
$170$		−	0.796224i		−	0.0610676i
$171$	−2.06699	+	0.680203i	−0.158067	+	0.0520165i
$172$	36.3615			2.77254
$173$	8.75822	−	3.18773i	0.665875	−	0.242359i	0.0131042	−	0.999914i	$-0.495829\pi$
$173$	8.75822	−	3.18773i	0.665875	−	0.242359i	0.652771	+	0.757555i	$0.273606\pi$
$174$	19.6999	−	13.3417i	1.49344	−	1.01143i
$175$	7.08757	−	10.4849i	0.535770	−	0.792581i
$176$	−5.89143	+	16.1866i	−0.444083	+	1.22011i
$177$	15.6307	−	10.5858i	1.17487	−	0.795677i
$178$	−16.6674	+	19.8634i	−1.24928	+	1.48883i
$179$		−	11.4773i		−	0.857853i	−0.903339	−	0.428926i	$-0.858892\pi$
$179$		−	11.4773i		−	0.857853i	0.903339	−	0.428926i	$-0.141108\pi$
$180$	2.31046	−	5.78105i	0.172212	−	0.430894i
$181$	4.44357	+	2.56549i	0.330288	+	0.190692i	0.655969	−	0.754788i	$-0.272260\pi$
$181$	4.44357	+	2.56549i	0.330288	+	0.190692i	−0.325681	+	0.945480i	$0.605594\pi$
$182$	−4.34160	−	41.7135i	−0.321821	−	3.09201i
$183$	1.16170	−	1.12607i	0.0858753	−	0.0832412i
$184$	−15.5018	+	13.0075i	−1.14280	+	0.958927i
$185$	0.598748	+	3.39567i	0.0440208	+	0.249655i
$186$	12.4523	+	27.8274i	0.913044	+	2.04040i
$187$	1.07027	−	1.27549i	0.0782656	−	0.0932734i
$188$	40.6991			2.96829
$189$	10.2590	+	9.15167i	0.746232	+	0.665686i
$190$	−0.857942			−0.0622416
$191$	11.2629	−	13.4226i	0.814956	−	0.971227i	−0.184977	−	0.982743i	$-0.559221\pi$
$191$	11.2629	−	13.4226i	0.814956	−	0.971227i	0.999934	+	0.0115156i	$0.00366562\pi$
$192$	−1.22581	−	0.126509i	−0.0884652	−	0.00913004i
$193$	−1.28928	−	7.31187i	−0.0928044	−	0.526320i	−0.995398	−	0.0958263i	$-0.969451\pi$
$193$	−1.28928	−	7.31187i	−0.0928044	−	0.526320i	0.902594	−	0.430493i	$-0.141660\pi$
$194$	−36.2324	+	30.4026i	−2.60133	+	2.18278i
$195$	4.83567	+	1.37678i	0.346290	+	0.0985931i
$196$	19.2660	−	24.5568i	1.37614	−	1.75406i
$197$	4.10505	+	2.37005i	0.292473	+	0.168859i	0.639057	−	0.769160i	$-0.279325\pi$
$197$	4.10505	+	2.37005i	0.292473	+	0.168859i	−0.346584	+	0.938019i	$0.612658\pi$
$198$	16.6176	−	8.91598i	1.18096	−	0.633631i
$199$			6.70536i			0.475330i	0.971347	+	0.237665i	$0.0763821\pi$
$199$			6.70536i			0.475330i	−0.971347	+	0.237665i	$0.923618\pi$
$200$	−19.2144	+	22.8989i	−1.35867	+	1.61920i
$201$	0.00298666	+	0.0415881i	0.000210663	+	0.00293340i
$202$	0.926949	−	2.54677i	0.0652199	−	0.179190i
$203$	−1.01198	+	14.2646i	−0.0710271	+	1.00118i
$204$	−4.67702	−	2.27026i	−0.327457	−	0.158950i
$205$	1.65181	−	0.601211i	0.115368	−	0.0419904i
$206$	−14.3720			−1.00135
$207$	9.70987	+	0.302547i	0.674882	+	0.0210284i
$208$			43.4364i			3.01177i
$209$	−1.37436	−	1.15323i	−0.0950666	−	0.0797704i
$210$	2.71422	+	4.69177i	0.187299	+	0.323763i
$211$	1.74430	+	9.89241i	0.120082	+	0.681021i	0.984108	+	0.177573i	$0.0568245\pi$
$211$	1.74430	+	9.89241i	0.120082	+	0.681021i	−0.864025	+	0.503449i	$0.832064\pi$
$212$	−20.3282	+	55.8512i	−1.39614	+	3.83587i
$213$	1.77185	−	17.1683i	0.121405	−	1.17635i
$214$	1.17045	−	6.63793i	0.0800100	−	0.453759i
$215$	−1.89765	−	3.28683i	−0.129419	−	0.224160i
$216$	−21.8635	−	24.0084i	−1.48762	−	1.63356i
$217$	−17.7750	−	4.45091i	−1.20665	−	0.302148i
$218$	9.90872	+	27.2240i	0.671103	+	1.84384i
$219$	−0.511735	+	4.95844i	−0.0345799	+	0.335061i
$220$	5.05496	−	0.891326i	0.340806	−	0.0600932i
$221$	1.43602	−	3.94543i	0.0965971	−	0.265398i
$222$	31.3657	+	8.93023i	2.10513	+	0.599358i
$223$	−18.4562	+	21.9953i	−1.23592	+	1.47291i	−0.407114	+	0.913377i	$0.633465\pi$
$223$	−18.4562	+	21.9953i	−1.23592	+	1.47291i	−0.828806	+	0.559536i	$0.810979\pi$
$224$	−9.56797	+	9.88788i	−0.639287	+	0.660662i
$225$	14.2029	−	2.05055i	0.946862	−	0.136703i
$226$	9.02787	−	15.6367i	0.600525	−	1.04014i
$227$	1.78346	+	1.49650i	0.118373	+	0.0993265i	0.700053	−	0.714091i	$-0.253160\pi$
$227$	1.78346	+	1.49650i	0.118373	+	0.0993265i	−0.581680	+	0.813418i	$0.697604\pi$
$228$	−2.44624	+	5.03955i	−0.162006	+	0.333752i
$229$	11.0964	−	1.95659i	0.733268	−	0.129295i	0.205468	−	0.978664i	$-0.434128\pi$
$229$	11.0964	−	1.95659i	0.733268	−	0.129295i	0.527800	+	0.849369i	$0.323017\pi$
$230$	3.59917	+	1.30999i	0.237322	+	0.0863782i
$231$	−1.95858	+	11.1643i	−0.128865	+	0.734555i
$232$	5.86536	−	33.2641i	0.385080	−	2.18390i
$233$	−11.5914	−	6.69231i	−0.759379	−	0.438428i	0.0696935	−	0.997568i	$-0.477798\pi$
$233$	−11.5914	−	6.69231i	−0.759379	−	0.438428i	−0.829073	+	0.559141i	$0.811131\pi$
$234$	31.6869	−	35.4590i	2.07144	−	2.31802i
$235$	−2.12402	−	3.67892i	−0.138556	−	0.239986i
$236$	8.43905	−	47.8602i	0.549335	−	3.11544i
$237$	1.84979	−	0.464898i	0.120157	−	0.0301984i
$238$	4.07028	−	1.98011i	0.263837	−	0.128352i
$239$	−15.7161	−	18.7297i	−1.01659	−	1.21152i	−0.977205	−	0.212299i	$-0.931905\pi$
$239$	−15.7161	−	18.7297i	−1.01659	−	1.21152i	−0.0393838	−	0.999224i	$-0.512539\pi$
$240$	−2.29299	−	5.12420i	−0.148012	−	0.330766i
$241$	12.5428	+	2.21163i	0.807953	+	0.142464i	0.562342	−	0.826905i	$-0.309900\pi$
$241$	12.5428	+	2.21163i	0.807953	+	0.142464i	0.245611	+	0.969369i	$0.421011\pi$
$242$	−10.7451	−	6.20371i	−0.690724	−	0.398790i
$243$	0.146451	+	15.5878i	0.00939484	+	0.999956i
$244$		−	4.16503i		−	0.266639i
$245$	−3.22523	−	0.459933i	−0.206052	−	0.0293840i
$246$	1.70679	−	16.5379i	0.108821	−	1.05442i
$247$	−4.25126	−	1.54733i	−0.270501	−	0.0984543i
$248$	40.6702	+	14.8027i	2.58256	+	0.939975i
$249$	−2.50920	+	8.81309i	−0.159014	+	0.558507i
$250$	11.3961	+	2.00943i	0.720750	+	0.127088i
$251$	−2.40624	+	4.16774i	−0.151881	+	0.263065i	−0.931919	−	0.362667i	$-0.881866\pi$
$251$	−2.40624	+	4.16774i	−0.151881	+	0.263065i	0.780038	+	0.625732i	$0.215200\pi$
$252$	35.2984	−	2.56574i	2.22359	−	0.161626i
$253$	4.00475	+	6.93644i	0.251777	+	0.436090i
$254$	−8.16290	−	22.4274i	−0.512186	−	1.40722i
$255$	0.0388701	+	0.541251i	0.00243414	+	0.0338945i
$256$	−22.6795	+	19.0303i	−1.41747	+	1.18940i
$257$	−0.124550	−	0.706359i	−0.00776923	−	0.0440615i	0.980677	−	0.195635i	$-0.0626769\pi$
$257$	−0.124550	−	0.706359i	−0.00776923	−	0.0440615i	−0.988446	+	0.151574i	$0.951566\pi$
$258$	−35.8044	+	2.57130i	−2.22908	+	0.160082i
$259$	−15.8696	+	11.5054i	−0.986088	+	0.714912i
$260$	11.2094	−	6.47174i	0.695176	−	0.401360i
$261$	−12.7401	+	10.0310i	−0.788594	+	0.620904i
$262$	−17.9662	+	10.3728i	−1.10995	+	0.640833i
$263$	−5.52218	−	15.1721i	−0.340512	−	0.935550i	−0.985246	−	0.171143i	$-0.945254\pi$
$263$	−5.52218	−	15.1721i	−0.340512	−	0.935550i	0.644734	−	0.764407i	$-0.276968\pi$
$264$	7.33111	−	25.7491i	0.451199	−	1.58475i
$265$	6.10945	−	1.07726i	0.375301	−	0.0661756i
$266$	−2.13360	−	4.38578i	−0.130819	−	0.268910i
$267$	10.3604	−	14.3163i	0.634043	−	0.876143i
$268$	0.0822259	+	0.0689958i	0.00502275	+	0.00421459i
$269$	8.30293	−	14.3811i	0.506238	−	0.876831i	−0.493736	−	0.869612i	$-0.664369\pi$
$269$	8.30293	−	14.3811i	0.506238	−	0.876831i	0.999974	−	0.00721846i	$-0.00229773\pi$
$270$	−1.86625	+	5.85585i	−0.113577	+	0.356376i
$271$	−12.6238	+	7.28836i	−0.766842	+	0.442736i	−0.831747	−	0.555155i	$-0.812659\pi$
$271$	−12.6238	+	7.28836i	−0.766842	+	0.442736i	0.0649049	+	0.997891i	$0.479326\pi$
$272$	−4.40528	+	1.60339i	−0.267109	+	0.0972198i
$273$	4.98767	+	28.1437i	0.301868	+	1.70334i
$274$	−39.8396	+	33.4294i	−2.40680	+	2.01954i
$275$	7.60513	+	9.06345i	0.458607	+	0.546546i
$276$	17.9572	−	17.4063i	1.08089	−	1.04774i
$277$	−16.7060	+	6.08048i	−1.00377	+	0.365341i	−0.791036	−	0.611770i	$-0.790458\pi$
$277$	−16.7060	+	6.08048i	−1.00377	+	0.365341i	−0.212730	+	0.977111i	$0.568236\pi$
$278$	−2.11030			−0.126568
$279$	−9.82319	−	18.3084i	−0.588099	−	1.09610i
$280$	7.46451	+	1.86913i	0.446090	+	0.111702i
$281$	−25.4750	−	4.49194i	−1.51971	−	0.267967i	−0.649393	−	0.760453i	$-0.724977\pi$
$281$	−25.4750	−	4.49194i	−1.51971	−	0.267967i	−0.870320	+	0.492486i	$0.836088\pi$
$282$	−40.0755	+	2.87803i	−2.38646	+	0.171384i
$283$	1.54832	+	1.84522i	0.0920382	+	0.109687i	0.810098	−	0.586295i	$-0.199414\pi$
$283$	1.54832	+	1.84522i	0.0920382	+	0.109687i	−0.718060	+	0.695982i	$0.754970\pi$
$284$	−28.5604	−	34.0369i	−1.69475	−	2.01972i
$285$	0.583205	−	0.0418830i	0.0345461	−	0.00248094i
$286$	38.6120	+	6.80833i	2.28317	+	0.402585i
$287$	7.18124	+	6.94890i	0.423895	+	0.410181i
$288$	−15.5939	−	0.485886i	−0.918881	−	0.0286311i
$289$	−16.5468			−0.973344
$290$	−6.00759	+	2.18658i	−0.352778	+	0.128401i
$291$	23.1456	−	22.4356i	1.35682	−	1.31520i
$292$	8.24864	+	9.83035i	0.482715	+	0.575278i
$293$	14.1349	−	11.8606i	0.825772	−	0.692905i	−0.128544	−	0.991704i	$-0.541030\pi$
$293$	14.1349	−	11.8606i	0.825772	−	0.692905i	0.954316	+	0.298799i	$0.0965859\pi$
$294$	−17.2343	+	25.5429i	−1.00512	+	1.48969i
$295$	−4.76665	+	1.73492i	−0.277525	+	0.101011i
$296$	40.0954	−	23.1491i	2.33050	−	1.34551i
$297$	−10.8609	+	6.87208i	−0.630214	+	0.398758i
$298$	−2.84604	+	4.92948i	−0.164867	+	0.285557i
$299$	15.4719	+	12.9825i	0.894764	+	0.750796i
$300$	21.6581	−	29.9279i	1.25043	−	1.72789i
$301$	12.0830	−	17.8747i	0.696451	−	1.03028i
$302$	7.36655	−	1.29892i	0.423897	−	0.0747446i
$303$	−0.505786	+	1.77648i	−0.0290566	+	0.102056i
$304$	1.72767	+	4.74674i	0.0990889	+	0.272244i
$305$	−0.376490	+	0.217366i	−0.0215577	+	0.0124464i
$306$	4.76589	+	1.90474i	0.272448	+	0.108887i
$307$	−8.85587	+	5.11294i	−0.505431	+	0.291811i	−0.730954	−	0.682427i	$-0.760924\pi$
$307$	−8.85587	+	5.11294i	−0.505431	+	0.291811i	0.225522	+	0.974238i	$0.427591\pi$
$308$	17.1275	+	23.6243i	0.975932	+	1.34612i
$309$	9.76972	−	0.701615i	0.555780	−	0.0399135i
$310$	−1.42249	−	8.06736i	−0.0807922	−	0.458195i
$311$	−19.0106	+	15.9518i	−1.07799	+	0.904542i	−0.995752	−	0.0920711i	$-0.970651\pi$
$311$	−19.0106	+	15.9518i	−1.07799	+	0.904542i	−0.0822383	+	0.996613i	$0.526207\pi$
$312$	−4.83584	−	67.3372i	−0.273775	−	3.81222i
$313$	5.68370	+	15.6158i	0.321262	+	0.882659i	0.990239	+	0.139377i	$0.0445100\pi$
$313$	5.68370	+	15.6158i	0.321262	+	0.882659i	−0.668978	+	0.743283i	$0.733268\pi$
$314$	11.3070	+	19.5843i	0.638091	+	1.10521i
$315$	−2.07410	−	3.05683i	−0.116862	−	0.172233i
$316$	2.45506	−	4.25229i	0.138108	−	0.239210i
$317$	−6.28264	−	1.10780i	−0.352868	−	0.0622202i	−0.00559547	−	0.999984i	$-0.501781\pi$
$317$	−6.28264	−	1.10780i	−0.352868	−	0.0622202i	−0.347273	+	0.937764i	$0.612892\pi$
$318$	16.0672	−	56.4329i	0.901002	−	3.16460i
$319$	−12.5629	−	4.57252i	−0.703387	−	0.256012i
$320$	0.311159	+	0.113253i	0.0173943	+	0.00633102i
$321$	−0.471586	+	4.56942i	−0.0263214	+	0.255040i
$322$	2.25406	+	21.6567i	0.125614	+	1.20688i
$323$		−	0.488276i		−	0.0271684i
$324$	29.0760	+	27.6591i	1.61533	+	1.53662i
$325$	25.8377	+	14.9174i	1.43322	+	0.827469i
$326$	−4.44948	−	0.784563i	−0.246434	−	0.0434529i
$327$	−8.06470	−	18.0224i	−0.445979	−	0.996641i
$328$	−15.1716	−	18.0809i	−0.837714	−	0.998349i
$329$	13.5244	−	20.0070i	0.745622	−	1.10302i
$330$	−4.91448	+	1.23513i	−0.270533	+	0.0679917i
$331$	1.59919	−	9.06946i	0.0878994	−	0.498502i	−0.908794	−	0.417246i	$-0.862995\pi$
$331$	1.59919	−	9.06946i	0.0878994	−	0.498502i	0.996693	−	0.0812569i	$-0.0258934\pi$
$332$	11.7949	+	20.4293i	0.647327	+	1.12120i
$333$	−21.7575	−	4.53931i	−1.19230	−	0.248753i
$334$	−19.0736	−	11.0121i	−1.04366	−	0.602557i
$335$	0.00194549	−	0.0110334i	0.000106294	−	0.000602821i
$336$	20.4924	−	24.4650i	1.11795	−	1.33468i
$337$	−4.60865	−	1.67741i	−0.251049	−	0.0913745i	0.213430	−	0.976958i	$-0.431536\pi$
$337$	−4.60865	−	1.67741i	−0.251049	−	0.0913745i	−0.464480	+	0.885584i	$0.653759\pi$
$338$	64.8289	−	11.4311i	3.52623	−	0.621769i
$339$	−5.37354	+	11.0701i	−0.291851	+	0.601248i
$340$	1.07014	+	0.897950i	0.0580362	+	0.0486982i
$341$	8.56524	−	14.8354i	0.463834	−	0.803383i
$342$	2.05239	−	5.13531i	0.110980	−	0.277686i
$343$	−5.66959	−	17.6311i	−0.306129	−	0.951990i
$344$	−32.7570	+	39.0383i	−1.76614	+	2.10480i
$345$	−2.51057	−	0.714792i	−0.135164	−	0.0384831i
$346$	−8.10143	+	22.2585i	−0.435535	+	1.19662i
$347$	5.56398	−	0.981080i	0.298690	−	0.0526671i	−0.0222948	−	0.999751i	$-0.507097\pi$
$347$	5.56398	−	0.981080i	0.298690	−	0.0526671i	0.320985	+	0.947084i	$0.395986\pi$
$348$	−4.28539	+	41.5231i	−0.229721	+	2.22587i
$349$	−1.55645	−	4.27631i	−0.0833149	−	0.228906i	0.891039	−	0.453927i	$-0.149977\pi$
$349$	−1.55645	−	4.27631i	−0.0833149	−	0.228906i	−0.974354	+	0.225021i	$0.927755\pi$
$350$	8.83422	+	30.9266i	0.472209	+	1.65310i
$351$	−19.8089	+	25.6509i	−1.05732	+	1.36914i
$352$	−6.43158	−	11.1398i	−0.342805	−	0.593755i
$353$	−1.73370	+	9.83232i	−0.0922758	+	0.523322i	0.903272	+	0.429068i	$0.141158\pi$
$353$	−1.73370	+	9.83232i	−0.0922758	+	0.523322i	−0.995548	+	0.0942543i	$0.969953\pi$
$354$	−4.92531	+	47.7237i	−0.261777	+	2.53648i
$355$	−1.58618	+	4.35799i	−0.0841857	+	0.231298i
$356$	−7.89988	−	44.8024i	−0.418693	−	2.37452i
$357$	−2.67020	+	1.54473i	−0.141322	+	0.0817558i
$358$	22.3446	+	18.7494i	1.18095	+	0.990935i
$359$			14.3758i			0.758725i	0.925248	+	0.379363i	$0.123857\pi$
$359$			14.3758i			0.758725i	−0.925248	+	0.379363i	$0.876143\pi$
$360$	4.12519	+	7.68851i	0.217417	+	0.405220i
$361$	18.4739			0.972309
$362$	−12.2537	+	4.45998i	−0.644039	+	0.234411i
$363$	7.60711	+	3.69256i	0.399270	+	0.193809i
$364$	60.9598	+	41.2077i	3.19516	+	2.15987i
$365$	0.458111	−	1.25865i	0.0239786	−	0.0658808i
$366$	0.294529	+	4.10121i	0.0153953	+	0.214374i
$367$	22.8297	−	27.2074i	1.19170	−	1.42022i	0.308501	−	0.951224i	$-0.400173\pi$
$367$	22.8297	−	27.2074i	1.19170	−	1.42022i	0.883202	−	0.468992i	$-0.155383\pi$
$368$		−	22.5512i		−	1.17556i
$369$	−0.352883	+	11.3254i	−0.0183704	+	0.589574i
$370$	−7.58900	−	4.38151i	−0.394533	−	0.227784i
$371$	20.7004	+	28.5524i	1.07471	+	1.48237i
$372$	−51.4436	−	14.6467i	−2.66723	−	0.759394i
$373$	−2.61050	+	2.19047i	−0.135167	+	0.113418i	−0.707865	−	0.706348i	$-0.750341\pi$
$373$	−2.61050	+	2.19047i	−0.135167	+	0.113418i	0.572698	+	0.819767i	$0.305897\pi$
$374$	0.734809	+	4.16731i	0.0379961	+	0.215486i
$375$	−7.84483	−	0.809624i	−0.405105	−	0.0418088i
$376$	−36.6646	+	43.6952i	−1.89083	+	2.25341i
$377$	−33.7123			−1.73627
$378$	−34.5761	+	5.02255i	−1.77840	+	0.258332i
$379$	1.03172			0.0529960			0.0264980	−	0.999649i	$-0.491564\pi$
$379$	1.03172			0.0529960			0.0264980	+	0.999649i	$0.491564\pi$
$380$	0.967553	−	1.15309i	0.0496344	−	0.0591520i
$381$	6.64377	+	14.8470i	0.340371	+	0.760636i
$382$	7.73274	+	43.8546i	0.395642	+	2.24380i
$383$	−2.52649	+	2.11998i	−0.129098	+	0.108326i	−0.705050	−	0.709157i	$-0.749076\pi$
$383$	−2.52649	+	2.11998i	−0.129098	+	0.108326i	0.575953	+	0.817483i	$0.304631\pi$
$384$	15.1842	−	14.7184i	0.774865	−	0.751097i
$385$	1.24161	−	2.78112i	0.0632783	−	0.141739i
$386$	16.3413	+	9.43467i	0.831752	+	0.480212i
$387$	24.2133	−	3.49580i	1.23083	−	0.177701i
$388$		−	82.9837i		−	4.21286i
$389$	−12.3070	+	14.6669i	−0.623989	+	0.743641i	−0.981751	−	0.190172i	$-0.939096\pi$
$389$	−12.3070	+	14.6669i	−0.623989	+	0.743641i	0.357762	+	0.933813i	$0.383540\pi$
$390$	−10.5800	+	7.16524i	−0.535738	+	0.362826i
$391$	−0.745548	+	2.04838i	−0.0377040	+	0.103591i
$392$	9.00837	+	42.8068i	0.454991	+	2.16207i
$393$	11.7065	−	7.92821i	0.590517	−	0.399925i
$394$	−11.3202	+	4.12021i	−0.570303	+	0.207573i
$395$	−0.512503			−0.0257868
$396$	−6.75745	+	32.3893i	−0.339575	+	1.62763i
$397$		−	15.7797i		−	0.791958i	−0.918260	−	0.395979i	$-0.870405\pi$
$397$		−	15.7797i		−	0.791958i	0.918260	−	0.395979i	$-0.129595\pi$
$398$	−13.0544	−	10.9539i	−0.654357	−	0.549070i
$399$	1.66447	+	2.87718i	0.0833276	+	0.144039i
$400$	−5.78459	−	32.8060i	−0.289229	−	1.64030i
$401$	−9.81387	+	26.9634i	−0.490081	+	1.34649i	0.410525	+	0.911850i	$0.365346\pi$
$401$	−9.81387	+	26.9634i	−0.490081	+	1.34649i	−0.900606	+	0.434637i	$0.856877\pi$
$402$	−0.0858451	−	0.0621240i	−0.00428156	−	0.00309846i
$403$	7.50108	−	42.5407i	0.373655	−	2.11911i
$404$	2.37752	+	4.11798i	0.118286	+	0.204877i
$405$	0.982756	−	4.07175i	0.0488336	−	0.202327i
$406$	−26.1179	−	25.2729i	−1.29621	−	1.25427i
$407$	−6.26751	−	17.2198i	−0.310669	−	0.853555i
$408$	6.65077	−	2.97610i	0.329262	−	0.147339i
$409$	−0.828634	+	0.146111i	−0.0409733	+	0.00722470i	−0.194097	−	0.980982i	$-0.562178\pi$
$409$	−0.828634	+	0.146111i	−0.0409733	+	0.00722470i	0.153124	+	0.988207i	$0.451067\pi$
$410$	−1.52794	+	4.19798i	−0.0754596	+	0.207324i
$411$	25.4499	−	24.6693i	1.25535	−	1.21685i
$412$	16.2082	−	19.3162i	0.798522	−	0.951642i
$413$	−20.7230	−	20.0525i	−1.01971	−	0.986719i
$414$	−16.4511	+	18.4095i	−0.808528	+	0.904776i
$415$	1.23111	−	2.13235i	0.0604328	−	0.104673i
$416$	−24.8477	−	20.8497i	−1.21826	−	1.02224i
$417$	1.43453	−	0.103021i	0.0702491	−	0.00504496i
$418$	4.49033	−	0.791767i	0.219629	−	0.0387266i
$419$	−14.6826	−	5.34404i	−0.717294	−	0.261073i	−0.0425171	−	0.999096i	$-0.513538\pi$
$419$	−14.6826	−	5.34404i	−0.717294	−	0.261073i	−0.674776	+	0.738022i	$0.735760\pi$
$420$	−9.36679	−	1.64324i	−0.457053	−	0.0801820i
$421$	−5.15879	+	29.2570i	−0.251424	+	1.42590i	0.553663	+	0.832740i	$0.313229\pi$
$421$	−5.15879	+	29.2570i	−0.251424	+	1.42590i	−0.805088	+	0.593156i	$0.797882\pi$
$422$	−22.1086	−	12.7644i	−1.07623	−	0.621361i
$423$	27.1017	−	3.91281i	1.31773	−	0.190247i
$424$	−41.6496	−	72.1392i	−2.02268	−	3.50339i
$425$	−0.559149	+	3.17109i	−0.0271227	+	0.153821i
$426$	30.5297	+	31.4957i	1.47917	+	1.52597i
$427$	−2.04746	−	1.38404i	−0.0990834	−	0.0669786i
$428$	7.60148	+	9.05909i	0.367431	+	0.437888i
$429$	−26.5797	−	2.74316i	−1.28328	−	0.132441i
$430$	9.49900	+	1.67493i	0.458082	+	0.0807723i
$431$	31.9989	+	18.4746i	1.54133	+	0.889889i	0.998755	+	0.0498828i	$0.0158848\pi$
$431$	31.9989	+	18.4746i	1.54133	+	0.889889i	0.542577	+	0.840006i	$0.317449\pi$
$432$	36.1569	−	1.46673i	1.73960	−	0.0705682i
$433$		−	9.86033i		−	0.473857i	−0.971527	−	0.236929i	$-0.923859\pi$
$433$		−	9.86033i		−	0.473857i	0.971527	−	0.236929i	$-0.0761407\pi$
$434$	37.7026	−	27.3343i	1.80978	−	1.31209i
$435$	3.97705	−	1.77966i	0.190685	−	0.0853281i
$436$	−47.7641	−	17.3847i	−2.28748	−	0.832576i
$437$	2.20715	+	0.803338i	0.105582	+	0.0384289i
$438$	−8.81740	−	9.09642i	−0.421312	−	0.434644i
$439$	−35.0476	−	6.17984i	−1.67273	−	0.294948i	−0.744686	−	0.667415i	$-0.767401\pi$
$439$	−35.0476	−	6.17984i	−1.67273	−	0.294948i	−0.928045	+	0.372467i	$0.878512\pi$
$440$	−3.59692	+	6.23005i	−0.171477	+	0.297006i
$441$	10.4684	−	18.2047i	0.498497	−	0.866891i
$442$	5.33530	+	9.24101i	0.253774	+	0.439550i
$443$	−4.55230	−	12.5073i	−0.216286	−	0.594241i	0.783340	−	0.621594i	$-0.213515\pi$
$443$	−4.55230	−	12.5073i	−0.216286	−	0.594241i	−0.999626	+	0.0273526i	$0.991292\pi$
$444$	−47.3754	+	32.0848i	−2.24834	+	1.52268i
$445$	−3.63755	+	3.05226i	−0.172436	+	0.144691i
$446$	−12.6714	−	71.8633i	−0.600010	−	3.40282i
$447$	1.69401	−	3.48987i	0.0801240	−	0.165065i
$448$	0.194870	+	1.87229i	0.00920676	+	0.0884572i
$449$	−6.46903	+	3.73490i	−0.305293	+	0.176261i	−0.644818	−	0.764336i	$-0.723067\pi$
$449$	−6.46903	+	3.73490i	−0.305293	+	0.176261i	0.339525	+	0.940597i	$0.389734\pi$
$450$	−19.2099	+	31.0008i	−0.905562	+	1.46139i
$451$	−8.09049	+	4.67105i	−0.380966	+	0.219951i
$452$	10.8347	+	29.7681i	0.509621	+	1.40017i
$453$	−4.94417	+	1.24259i	−0.232297	+	0.0583821i
$454$	−5.82696	+	1.02745i	−0.273473	+	0.0482206i
$455$	0.543492	−	7.66091i	0.0254793	−	0.359149i
$456$	−3.20679	−	7.16629i	−0.150172	−	0.335592i
$457$	−19.8548	−	16.6602i	−0.928770	−	0.779331i	0.0468260	−	0.998903i	$-0.485089\pi$
$457$	−19.8548	−	16.6602i	−0.928770	−	0.779331i	−0.975596	+	0.219572i	$0.929534\pi$
$458$	−14.3179	+	24.7993i	−0.669031	+	1.15880i
$459$	−3.33271	−	1.06213i	−0.155558	−	0.0495760i
$460$	−5.81965	+	3.35998i	−0.271343	+	0.156660i
$461$	−23.7286	+	8.63651i	−1.10515	+	0.402242i	−0.829213	−	0.558933i	$-0.811211\pi$
$461$	−23.7286	+	8.63651i	−1.10515	+	0.402242i	−0.275939	+	0.961175i	$0.588989\pi$
$462$	−18.5357	−	22.0511i	−0.862358	−	1.02591i
$463$	15.4294	−	12.9468i	0.717064	−	0.601688i	−0.209508	−	0.977807i	$-0.567186\pi$
$463$	15.4294	−	12.9468i	0.717064	−	0.601688i	0.926571	+	0.376119i	$0.122742\pi$
$464$	24.1955	+	28.8350i	1.12325	+	1.33863i
$465$	1.36080	+	5.41453i	0.0631058	+	0.251093i
$466$	31.9648	−	11.6342i	1.48074	−	0.538945i
$467$	4.31501			0.199675			0.0998373	−	0.995004i	$-0.468168\pi$
$467$	4.31501			0.199675			0.0998373	+	0.995004i	$0.468168\pi$
$468$	11.9220	+	82.5769i	0.551097	+	3.81712i
$469$	0.0612409	−	0.0174935i	0.00282784	−	0.000807776i
$470$	10.6321	+	1.87473i	0.490424	+	0.0864750i
$471$	−8.64226	−	12.7609i	−0.398214	−	0.587991i
$472$	43.7810	+	52.1761i	2.01518	+	2.40160i
$473$	12.9653	+	15.4515i	0.596146	+	0.710459i
$474$	−2.11674	+	4.36074i	−0.0972251	+	0.200295i
$475$	3.41690	+	0.602491i	0.156778	+	0.0276442i
$476$	−1.92901	+	7.70361i	−0.0884158	+	0.353094i
$477$	−8.16708	+	39.1459i	−0.373945	+	1.79237i
$478$	62.1379			2.84212
$479$	1.80247	−	0.656045i	0.0823569	−	0.0299755i	−0.300513	−	0.953778i	$-0.597158\pi$
$479$	1.80247	−	0.656045i	0.0823569	−	0.0299755i	0.382870	+	0.923802i	$0.374936\pi$
$480$	4.03194	+	1.14795i	0.184032	+	0.0523963i
$481$	−29.7026	−	35.3982i	−1.35432	−	1.61402i
$482$	−24.7957	+	20.8061i	−1.12941	+	0.947692i
$483$	−2.58949	−	14.6116i	−0.117826	−	0.664850i
$484$	20.4558	−	7.44531i	0.929811	−	0.338423i
$485$	−7.50115	+	4.33079i	−0.340610	+	0.196651i
$486$	−30.5864	−	25.1792i	−1.38743	−	1.14215i
$487$	−10.2277	+	17.7149i	−0.463461	+	0.802738i	−0.999131	−	0.0416897i	$-0.986726\pi$
$487$	−10.2277	+	17.7149i	−0.463461	+	0.802738i	0.535670	+	0.844428i	$0.320059\pi$
$488$	4.47163	+	3.75215i	0.202421	+	0.169852i
$489$	3.06293	+	0.316110i	0.138511	+	0.0142950i
$490$	6.16417	−	5.52770i	0.278469	−	0.249716i
$491$	27.9607	−	4.93023i	1.26185	−	0.222498i	0.497593	−	0.867411i	$-0.334217\pi$
$491$	27.9607	−	4.93023i	1.26185	−	0.222498i	0.764256	+	0.644912i	$0.223106\pi$
$492$	20.3023	+	20.9448i	0.915300	+	0.944264i
$493$	−1.24444	−	3.41907i	−0.0560467	−	0.153987i
$494$	9.95731	−	5.74885i	0.448000	−	0.258653i
$495$	3.28043	−	1.07952i	0.147444	−	0.0485209i
$496$	−41.7698	+	24.1158i	−1.87552	+	1.08283i
$497$	−26.2226	+	2.72929i	−1.17625	+	0.122425i
$498$	−13.0588	−	19.2822i	−0.585178	−	0.864055i
$499$	4.06570	+	23.0577i	0.182006	+	1.03220i	0.929743	+	0.368210i	$0.120029\pi$
$499$	4.06570	+	23.0577i	0.182006	+	1.03220i	−0.747737	+	0.663995i	$0.768860\pi$
$500$	−15.5527	+	13.0503i	−0.695540	+	0.583627i
$501$	13.5033	+	6.55461i	0.603282	+	0.292839i
$502$	−4.18313	−	11.4930i	−0.186702	−	0.512960i
$503$	5.80401	+	10.0528i	0.258788	+	0.448234i	0.965918	−	0.258850i	$-0.0833435\pi$
$503$	5.80401	+	10.0528i	0.258788	+	0.448234i	−0.707129	+	0.707084i	$0.750010\pi$
$504$	−29.0447	+	40.2083i	−1.29375	+	1.79102i
$505$	0.248158	−	0.429822i	0.0110429	−	0.0191268i
$506$	−20.0464	−	3.53473i	−0.891173	−	0.157138i
$507$	−43.5109	+	10.9354i	−1.93239	+	0.485657i
$508$	39.3485	+	14.3217i	1.74581	+	0.635422i
$509$	16.5581	+	6.02667i	0.733926	+	0.267127i	0.681826	−	0.731515i	$-0.261186\pi$
$509$	16.5581	+	6.02667i	0.733926	+	0.267127i	0.0521003	+	0.998642i	$0.483408\pi$
$510$	−1.11724	−	0.808517i	−0.0494721	−	0.0358017i
$511$	7.57347	−	0.788257i	0.335030	−	0.0348705i
$512$		−	50.8234i		−	2.24610i
$513$	−1.14446	+	3.59104i	−0.0505291	+	0.158548i
$514$	1.57865	+	0.911432i	0.0696311	+	0.0402015i
$515$	−2.59193	−	0.457028i	−0.114214	−	0.0201391i
$516$	36.9229	−	51.0214i	1.62544	−	2.24609i
$517$	14.5120	+	17.2947i	0.638235	+	0.760619i
$518$	3.52526	−	49.6911i	0.154891	−	2.18330i
$519$	4.42051	−	15.5262i	0.194039	−	0.681525i
$520$	−3.15004	+	17.8647i	−0.138138	+	0.783421i
$521$	12.9686	+	22.4622i	0.568164	+	0.984088i	0.996748	+	0.0805864i	$0.0256793\pi$
$521$	12.9686	+	22.4622i	0.568164	+	0.984088i	−0.428584	+	0.903502i	$0.640987\pi$
$522$	1.28342	−	41.1899i	0.0561739	−	1.80283i
$523$	3.19247	+	1.84317i	0.139597	+	0.0805962i	0.568172	−	0.822910i	$-0.307651\pi$
$523$	3.19247	+	1.84317i	0.139597	+	0.0805962i	−0.428575	+	0.903506i	$0.640984\pi$
$524$	6.32041	−	35.8448i	0.276108	−	1.56589i
$525$	−7.51504	−	20.5918i	−0.327983	−	0.898700i
$526$	38.5589	+	14.0343i	1.68125	+	0.611924i
$527$	4.59134	−	0.809576i	0.200002	−	0.0352657i
$528$	16.7301	+	24.7032i	0.728085	+	1.07507i
$529$	9.58636	+	8.04391i	0.416798	+	0.349735i
$530$	−7.88317	+	13.6540i	−0.342423	+	0.593094i
$531$	1.01832	−	32.6817i	0.0441912	−	1.41826i
$532$	8.30074	+	2.07853i	0.359883	+	0.0901157i
$533$	−15.1424	+	18.0461i	−0.655892	+	0.781662i
$534$	10.9470	+	43.5573i	0.473724	+	1.88491i
$535$	0.422169	−	1.15990i	0.0182520	−	0.0501469i
$536$	−0.148150	+	0.0261228i	−0.00639909	+	0.00112833i
$537$	−16.1046	−	11.6545i	−0.694964	−	0.502928i
$538$	14.4342	+	39.6576i	0.622303	+	1.70976i
$539$	17.3048	−	0.569242i	0.745370	−	0.0245190i
$540$	−5.76565	−	9.11227i	−0.248114	−	0.392130i
$541$	−12.7616	−	22.1037i	−0.548663	−	0.950313i	−0.998366	−	0.0571349i	$-0.981803\pi$
$541$	−12.7616	−	22.1037i	−0.548663	−	0.950313i	0.449703	−	0.893178i	$-0.351530\pi$
$542$	6.43295	−	36.4831i	0.276319	−	1.56708i
$543$	8.11199	−	3.62997i	0.348119	−	0.155777i
$544$	1.19734	−	3.28967i	0.0513356	−	0.141043i
$545$	0.921277	+	5.22482i	0.0394632	+	0.223807i
$546$	−62.9397	−	36.2655i	−2.69357	−	1.55202i
$547$	−5.90120	−	4.95170i	−0.252317	−	0.211719i	0.507852	−	0.861444i	$-0.330440\pi$
$547$	−5.90120	−	4.95170i	−0.252317	−	0.211719i	−0.760169	+	0.649725i	$0.774884\pi$
$548$		−	91.2454i		−	3.89781i
$549$	−0.400426	−	2.77351i	−0.0170898	−	0.118371i
$550$	−30.0690			−1.28215
$551$	−3.68409	+	1.34090i	−0.156948	+	0.0571242i
$552$	2.51065	+	34.9599i	0.106861	+	1.48799i
$553$	−1.27453	−	2.61990i	−0.0541987	−	0.111410i
$554$	15.4532	−	42.4573i	0.656543	−	1.80384i
$555$	5.37269	+	2.60795i	0.228058	+	0.110701i
$556$	2.37992	−	2.83628i	0.100931	−	0.120285i
$557$			1.54966i			0.0656610i	0.999461	+	0.0328305i	$0.0104522\pi$
$557$			1.54966i			0.0656610i	−0.999461	+	0.0328305i	$0.989548\pi$
$558$	51.6911	+	10.7844i	2.18826	+	0.456540i
$559$	44.0484	+	25.4314i	1.86305	+	1.07563i
$560$	−6.94265	+	5.03341i	−0.293381	+	0.212700i
$561$	−0.702943	−	2.79695i	−0.0296783	−	0.118087i
$562$	50.3613	−	42.2582i	2.12437	−	1.78255i
$563$	−4.28366	−	24.2938i	−0.180535	−	1.02386i	−0.931559	−	0.363589i	$-0.881551\pi$
$563$	−4.28366	−	24.2938i	−0.180535	−	1.02386i	0.751025	−	0.660274i	$-0.229560\pi$
$564$	41.3275	−	57.1077i	1.74020	−	2.40467i
$565$	2.12538	−	2.53293i	0.0894154	−	0.106561i
$566$	−6.12172			−0.257315
$567$	23.2587	−	5.10213i	0.976775	−	0.214269i
$568$	62.2717			2.61286
$569$	−17.4658	+	20.8149i	−0.732204	+	0.872606i	−0.995755	−	0.0920390i	$-0.970662\pi$
$569$	−17.4658	+	20.8149i	−0.732204	+	0.872606i	0.263552	+	0.964645i	$0.415106\pi$
$570$	−0.871188	+	1.20384i	−0.0364900	+	0.0504232i
$571$	2.74433	+	15.5639i	0.114847	+	0.651329i	0.986826	+	0.161786i	$0.0517253\pi$
$571$	2.74433	+	15.5639i	0.114847	+	0.651329i	−0.871979	+	0.489543i	$0.837164\pi$
$572$	−52.6956	+	44.2168i	−2.20331	+	1.84880i
$573$	−7.39740	−	29.4336i	−0.309031	−	1.22961i
$574$	−25.2598	+	2.62908i	−1.05432	+	0.109736i
$575$	−13.4144	−	7.74478i	−0.559417	−	0.322980i
$576$	−1.42225	+	1.59156i	−0.0592604	+	0.0663148i
$577$		−	16.3564i		−	0.680925i	−0.940258	−	0.340463i	$-0.889416\pi$
$577$		−	16.3564i		−	0.680925i	0.940258	−	0.340463i	$-0.110584\pi$
$578$	27.0310	−	32.2143i	1.12434	−	1.33994i
$579$	−11.5690	−	5.61568i	−0.480790	−	0.233380i
$580$	3.83633	−	10.5402i	0.159295	−	0.437659i
$581$	13.9621	+	0.990523i	0.579247	+	0.0410938i
$582$	5.86818	+	81.7121i	0.243244	+	3.38708i
$583$	−30.9817	+	11.2764i	−1.28313	+	0.467022i
$584$	−17.9850			−0.744223
$585$	6.84218	−	5.38723i	0.282889	−	0.222734i
$586$			46.8943i			1.93719i
$587$	−2.06287	−	1.73095i	−0.0851436	−	0.0714439i	0.599222	−	0.800583i	$-0.295476\pi$
$587$	−2.06287	−	1.73095i	−0.0851436	−	0.0714439i	−0.684366	+	0.729139i	$0.739921\pi$
$588$	−14.8939	−	51.9694i	−0.614213	−	2.14318i
$589$	−0.872329	−	4.94723i	−0.0359437	−	0.203847i
$590$	4.40920	−	12.1142i	0.181524	−	0.498732i
$591$	7.49402	−	3.35344i	0.308263	−	0.137942i
$592$	−8.95934	+	50.8110i	−0.368227	+	2.08832i
$593$	3.92320	+	6.79519i	0.161107	+	0.279045i	0.935266	−	0.353946i	$-0.115160\pi$
$593$	3.92320	+	6.79519i	0.161107	+	0.279045i	−0.774159	+	0.632991i	$0.781827\pi$
$594$	4.36350	−	32.3709i	0.179037	−	1.32819i
$595$	0.797025	−	0.227671i	0.0326748	−	0.00933359i
$596$	−3.41564	−	9.38439i	−0.139910	−	0.384400i
$597$	9.40876	+	6.80889i	0.385075	+	0.278669i
$598$	−50.5500	+	8.91334i	−2.06714	+	0.364493i
$599$	−11.3767	+	31.2573i	−0.464840	+	1.27714i	0.456965	+	0.889485i	$0.348936\pi$
$599$	−11.3767	+	31.2573i	−0.464840	+	1.27714i	−0.921805	+	0.387653i	$0.873286\pi$
$600$	12.6199	+	50.2135i	0.515205	+	2.04996i
$601$	21.4176	−	25.5245i	0.873642	−	1.04117i	−0.125155	−	0.992137i	$-0.539943\pi$
$601$	21.4176	−	25.5245i	0.873642	−	1.04117i	0.998797	−	0.0490291i	$-0.0156127\pi$
$602$	15.0607	+	52.7241i	0.613827	+	2.14887i
$603$	0.0613879	+	0.0380394i	0.00249991	+	0.00154908i
$604$	−6.56194	+	11.3656i	−0.267002	+	0.462460i
$605$	−1.74056	−	1.46051i	−0.0707639	−	0.0593780i
$606$	−2.63229	−	3.88676i	−0.106929	−	0.157889i
$607$	12.7757	−	2.25270i	0.518549	−	0.0914341i	0.0917522	−	0.995782i	$-0.470753\pi$
$607$	12.7757	−	2.25270i	0.518549	−	0.0914341i	0.426796	+	0.904348i	$0.359642\pi$
$608$	−3.54466	−	1.29015i	−0.143755	−	0.0523225i
$609$	18.9880	+	15.9048i	0.769434	+	0.644495i
$610$	0.191855	−	1.08806i	0.00776797	−	0.0440543i
$611$	49.3030	+	28.4651i	1.99459	+	1.15157i
$612$	−7.93479	+	4.25733i	−0.320745	+	0.172092i
$613$	20.5385	+	35.5738i	0.829543	+	1.43681i	0.898397	+	0.439184i	$0.144732\pi$
$613$	20.5385	+	35.5738i	0.829543	+	1.43681i	−0.0688544	+	0.997627i	$0.521934\pi$
$614$	4.51285	−	25.5936i	0.182124	−	1.03287i
$615$	0.833715	−	2.92827i	0.0336186	−	0.118079i
$616$	−40.7930	−	2.89400i	−1.64360	−	0.116603i
$617$	−14.4145	−	17.1786i	−0.580307	−	0.691583i	0.393405	−	0.919365i	$-0.371297\pi$
$617$	−14.4145	−	17.1786i	−0.580307	−	0.691583i	−0.973712	+	0.227782i	$0.926853\pi$
$618$	−14.5939	+	20.1664i	−0.587054	+	0.811212i
$619$	30.2635	+	5.33627i	1.21639	+	0.214483i	0.744772	−	0.667318i	$-0.232558\pi$
$619$	30.2635	+	5.33627i	1.21639	+	0.214483i	0.471621	+	0.881801i	$0.343669\pi$
$620$	12.4469	+	7.18621i	0.499879	+	0.288605i
$621$	10.2843	−	13.3174i	0.412695	−	0.534408i
$622$		−	63.0698i		−	2.52887i
$623$	−24.6493	−	11.0045i	−0.987552	−	0.440884i
$624$	60.9485	+	44.1070i	2.43989	+	1.76569i
$625$	−20.4833	−	7.45530i	−0.819331	−	0.298212i
$626$	−39.6867	−	14.4448i	−1.58620	−	0.577330i
$627$	−3.01375	+	0.757431i	−0.120358	+	0.0302489i
$628$	−39.0732	−	6.88965i	−1.55919	−	0.274927i
$629$	2.49363	−	4.31909i	0.0994274	−	0.172213i
$630$	9.33947	+	0.955693i	0.372093	+	0.0380757i
$631$	−1.19417	−	2.06836i	−0.0475391	−	0.0823402i	0.841277	−	0.540605i	$-0.181805\pi$
$631$	−1.19417	−	2.06836i	−0.0475391	−	0.0823402i	−0.888816	+	0.458265i	$0.848471\pi$
$632$	2.35363	+	6.46654i	0.0936223	+	0.257225i
$633$	15.6519	+	7.59759i	0.622109	+	0.301977i
$634$	12.4201	−	10.4217i	0.493265	−	0.413898i
$635$	−0.758956	−	4.30426i	−0.0301183	−	0.170809i
$636$	57.7266	+	85.2373i	2.28901	+	3.37988i
$637$	40.5140	−	16.2734i	1.60522	−	0.644777i
$638$	29.4248	−	16.9884i	1.16494	−	0.672579i
$639$	−22.2908	−	19.9195i	−0.881810	−	0.788005i
$640$	−4.92097	+	2.84113i	−0.194519	+	0.112305i
$641$	−8.06378	−	22.1550i	−0.318500	−	0.875072i	−0.990866	−	0.134852i	$-0.956944\pi$
$641$	−8.06378	−	22.1550i	−0.318500	−	0.875072i	0.672366	−	0.740219i	$-0.265278\pi$
$642$	−8.12562	−	8.38274i	−0.320692	−	0.330840i
$643$	35.0530	−	6.18079i	1.38236	−	0.243746i	0.567482	−	0.823386i	$-0.307918\pi$
$643$	35.0530	−	6.18079i	1.38236	−	0.243746i	0.814873	+	0.579639i	$0.196807\pi$
$644$	−31.6489	−	21.3941i	−1.24714	−	0.843045i
$645$	−6.53893	−	0.674849i	−0.257470	−	0.0265721i
$646$	0.950603	+	0.797651i	0.0374010	+	0.0313832i
$647$	8.19674	−	14.1972i	0.322247	−	0.558148i	−0.658704	−	0.752402i	$-0.728895\pi$
$647$	8.19674	−	14.1972i	0.322247	−	0.558148i	0.980951	+	0.194254i	$0.0622285\pi$
$648$	−55.8889	+	6.29920i	−2.19552	+	0.247456i
$649$	23.3468	−	13.4793i	0.916443	−	0.529108i
$650$	−71.2507	+	25.9331i	−2.79468	+	1.01718i
$651$	−24.2948	+	20.4217i	−0.952189	+	0.800390i
$652$	6.07241	−	5.09536i	0.237814	−	0.199550i
$653$	2.22308	+	2.64937i	0.0869960	+	0.103678i	0.807786	−	0.589475i	$-0.200665\pi$
$653$	2.22308	+	2.64937i	0.0869960	+	0.103678i	−0.720790	+	0.693153i	$0.756221\pi$
$654$	48.2616	+	13.7407i	1.88718	+	0.537304i
$655$	−3.56997	+	1.29936i	−0.139490	+	0.0507704i
$656$	26.3031			1.02696
$657$	6.43790	+	5.75305i	0.251166	+	0.224448i
$658$	16.8573	+	59.0135i	0.657165	+	2.30059i
$659$	22.4506	+	3.95865i	0.874551	+	0.154207i	0.592867	−	0.805300i	$-0.297996\pi$
$659$	22.4506	+	3.95865i	0.874551	+	0.154207i	0.281684	+	0.959507i	$0.409107\pi$
$660$	3.88233	−	7.99806i	0.151119	−	0.311324i
$661$	−8.28313	−	9.87145i	−0.322176	−	0.383955i	0.580511	−	0.814253i	$-0.302853\pi$
$661$	−8.28313	−	9.87145i	−0.322176	−	0.383955i	−0.902687	+	0.430298i	$0.858409\pi$
$662$	15.0445	+	17.9293i	0.584720	+	0.696843i
$663$	−4.07792	−	6.02132i	−0.158373	−	0.233849i
$664$	−32.5588	−	5.74100i	−1.26353	−	0.222794i
$665$	−0.245318	−	0.858805i	−0.00951303	−	0.0333030i
$666$	44.3806	−	34.9433i	1.71971	−	1.35403i
$667$	17.5026			0.677704
$668$	36.3109	−	13.2161i	1.40491	−	0.511346i
$669$	12.1219	+	48.2321i	0.468660	+	1.86476i
$670$	0.0183023	+	0.0218119i	0.000707081	+	0.000842667i
$671$	1.76989	−	1.48511i	0.0683257	−	0.0573321i
$672$	4.15868	+	23.4660i	0.160425	+	0.905221i
$673$	−7.15895	+	2.60564i	−0.275957	+	0.100440i	−0.476292	−	0.879287i	$-0.658019\pi$
$673$	−7.15895	+	2.60564i	−0.275957	+	0.100440i	0.200334	+	0.979728i	$0.435797\pi$
$674$	10.7944	−	6.23215i	0.415785	−	0.240054i
$675$	11.5449	−	22.0113i	0.444365	−	0.847216i
$676$	−57.7480	+	100.022i	−2.22108	+	3.84702i
$677$	−31.8604	−	26.7340i	−1.22449	−	1.02747i	−0.998577	−	0.0533258i	$-0.983018\pi$
$677$	−31.8604	−	26.7340i	−1.22449	−	1.02747i	−0.225917	−	0.974147i	$-0.572538\pi$
$678$	−12.7737	−	28.5458i	−0.490572	−	1.09629i
$679$	−40.7934	−	27.5756i	−1.56551	−	1.05825i
$680$	−1.92811	+	0.339977i	−0.0739395	+	0.0130375i
$681$	3.91085	−	0.982893i	0.149864	−	0.0376645i
$682$	14.8902	+	40.9105i	0.570176	+	1.56655i
$683$	−29.6444	+	17.1152i	−1.13431	+	0.654896i	−0.945016	−	0.327024i	$-0.893954\pi$
$683$	−29.6444	+	17.1152i	−1.13431	+	0.654896i	−0.189297	+	0.981920i	$0.560621\pi$
$684$	4.58733	+	8.54984i	0.175401	+	0.326911i
$685$	−8.24795	+	4.76195i	−0.315138	+	0.181945i
$686$	43.5871	+	17.7644i	1.66416	+	0.678248i
$687$	8.52225	−	17.5569i	0.325144	−	0.669836i
$688$	−9.86163	−	55.9281i	−0.375971	−	2.13224i
$689$	−63.6881	+	53.4406i	−2.42632	+	2.03593i
$690$	5.49288	−	3.72003i	0.209110	−	0.141619i
$691$	−1.43134	−	3.93259i	−0.0544509	−	0.149603i	0.909485	−	0.415736i	$-0.136476\pi$
$691$	−1.43134	−	3.93259i	−0.0544509	−	0.149603i	−0.963936	+	0.266134i	$0.914254\pi$
$692$	−20.7792	−	35.9907i	−0.789908	−	1.36816i
$693$	13.6765	+	14.0849i	0.519529	+	0.535040i
$694$	−7.17933	+	12.4350i	−0.272524	+	0.472025i
$695$	−0.380584	−	0.0671072i	−0.0144364	−	0.00254552i
$696$	−40.7193	−	42.0078i	−1.54346	−	1.59230i
$697$	−2.38918	−	0.869589i	−0.0904965	−	0.0329380i
$698$	10.8680	+	3.95563i	0.411360	+	0.149723i
$699$	−21.1608	+	9.46909i	−0.800376	+	0.358154i
$700$	−51.5287	−	23.0045i	−1.94760	−	0.869490i
$701$			12.5933i			0.475643i	0.971309	+	0.237821i	$0.0764333\pi$
$701$			12.5933i			0.475643i	−0.971309	+	0.237821i	$0.923567\pi$
$702$	−17.5788	−	80.4685i	−0.663468	−	3.03709i
$703$	−4.65387	−	2.68692i	−0.175524	−	0.101339i
$704$	−1.73308	−	0.305588i	−0.0653178	−	0.0115173i
$705$	−7.31896	−	0.755352i	−0.275648	−	0.0284482i
$706$	−16.3099	−	19.4374i	−0.613832	−	0.731537i
$707$	2.81438	+	0.199662i	0.105846	+	0.00750907i
$708$	−58.5867	−	60.4406i	−2.20182	−	2.27150i
$709$	−1.30698	+	7.41224i	−0.0490846	+	0.278373i	−0.999465	−	0.0327188i	$-0.989583\pi$
$709$	−1.30698	+	7.41224i	−0.0490846	+	0.278373i	0.950380	+	0.311091i	$0.100695\pi$
$710$	−5.89319	−	10.2073i	−0.221168	−	0.383073i
$711$	1.22602	−	3.06765i	0.0459793	−	0.115046i
$712$	55.2173	+	31.8797i	2.06936	+	1.19474i
$713$	−3.89439	+	22.0862i	−0.145846	+	0.827134i
$714$	1.35469	−	7.72198i	0.0506980	−	0.288988i
$715$	6.74699	+	2.45570i	0.252323	+	0.0918381i
$716$	−50.3988	+	8.88667i	−1.88349	+	0.332110i
$717$	−42.2396	+	3.03345i	−1.57747	+	0.113286i
$718$	−27.9876	−	23.4844i	−1.04449	−	0.876430i
$719$	−18.9465	+	32.8163i	−0.706585	+	1.22384i	0.259532	+	0.965735i	$0.416432\pi$
$719$	−18.9465	+	32.8163i	−0.706585	+	1.22384i	−0.966117	+	0.258106i	$0.916902\pi$
$720$	−9.51852	−	1.98587i	−0.354734	−	0.0740089i
$721$	−4.10951	−	14.3865i	−0.153046	−	0.535781i
$722$	−30.1790	+	35.9660i	−1.12315	+	1.33852i
$723$	15.8398	−	15.3539i	0.589087	−	0.571017i
$724$	7.82496	−	21.4989i	0.290812	−	0.799001i
$725$	25.4617	−	4.48959i	0.945626	−	0.166739i
$726$	−19.6159	+	8.77776i	−0.728014	+	0.325773i
$727$	−6.98614	−	19.1943i	−0.259102	−	0.711876i	−0.999223	−	0.0394032i	$-0.987454\pi$
$727$	−6.98614	−	19.1943i	−0.259102	−	0.711876i	0.740122	−	0.672473i	$-0.234768\pi$
$728$	−99.1580	+	28.3246i	−3.67504	+	1.04978i
$729$	22.0210	+	15.6229i	0.815592	+	0.578627i
$730$	1.70204	+	2.94802i	0.0629952	+	0.109111i
$731$	−0.953244	+	5.40612i	−0.0352570	+	0.199952i
$732$	−5.84424	−	4.22933i	−0.216009	−	0.156321i
$733$	−9.86692	+	27.1092i	−0.364443	+	1.00130i	0.612997	+	0.790085i	$0.289964\pi$
$733$	−9.86692	+	27.1092i	−0.364443	+	1.00130i	−0.977440	+	0.211214i	$0.932258\pi$
$734$	15.6741	+	88.8925i	0.578543	+	3.28108i
$735$	−3.92039	+	4.05851i	−0.144606	+	0.149700i
$736$	12.9004	+	10.8247i	0.475513	+	0.399003i
$737$			0.0595427i			0.00219328i
$738$	−21.4724	−	19.1882i	−0.790409	−	0.706327i
$739$	26.5104			0.975200			0.487600	−	0.873067i	$-0.337872\pi$
$739$	26.5104			0.975200			0.487600	+	0.873067i	$0.337872\pi$
$740$	14.4474	−	5.25842i	0.531096	−	0.193303i
$741$	−6.48806	+	4.39401i	−0.238345	+	0.161418i
$742$	−89.4037	−	6.34261i	−3.28211	−	0.232845i
$743$	2.96176	−	8.13736i	0.108656	−	0.298531i	−0.873434	−	0.486943i	$-0.838112\pi$
$743$	2.96176	−	8.13736i	0.108656	−	0.298531i	0.982090	+	0.188412i	$0.0603341\pi$
$744$	62.0688	−	42.0359i	2.27555	−	1.54111i
$745$	−0.670027	+	0.798507i	−0.0245479	+	0.0292550i
$746$		−	8.66064i		−	0.317089i
$747$	9.81832	+	12.4700i	0.359233	+	0.456253i
$748$	−6.42961	−	3.71214i	−0.235090	−	0.135729i
$749$	6.97928	−	0.726413i	0.255017	−	0.0265426i
$750$	14.3916	−	13.9501i	0.525506	−	0.509387i
$751$	4.87548	−	4.09101i	0.177909	−	0.149283i	−0.549485	−	0.835504i	$-0.685176\pi$
$751$	4.87548	−	4.09101i	0.177909	−	0.149283i	0.727394	+	0.686221i	$0.240732\pi$
$752$	−11.0380	−	62.5998i	−0.402515	−	2.28278i
$753$	3.40464	+	7.60845i	0.124072	+	0.277267i
$754$	55.0726	−	65.6329i	2.00562	−	2.39021i
$755$	1.36983			0.0498532
$756$	32.2433	−	52.1350i	1.17268	−	1.89613i
$757$	19.8369			0.720983			0.360492	−	0.932762i	$-0.382609\pi$
$757$	19.8369			0.720983			0.360492	+	0.932762i	$0.382609\pi$
$758$	−1.68543	+	2.00861i	−0.0612174	+	0.0729561i
$759$	13.7996	+	1.42418i	0.500893	+	0.0516946i
$760$	0.366330	+	2.07756i	0.0132882	+	0.0753610i
$761$	38.5154	−	32.3183i	1.39618	−	1.17154i	0.433419	−	0.901192i	$-0.357307\pi$
$761$	38.5154	−	32.3183i	1.39618	−	1.17154i	0.962764	−	0.270344i	$-0.0871374\pi$
$762$	−39.7583	−	11.3197i	−1.44029	−	0.410070i
$763$	−24.4181	+	17.7031i	−0.883994	+	0.640894i
$764$	−67.6618	−	39.0646i	−2.44792	−	1.41331i
$765$	0.798937	+	0.495066i	0.0288856	+	0.0178992i
$766$		−	8.38193i		−	0.302851i
$767$	43.6967	−	52.0757i	1.57780	−	1.88034i
$768$	3.67315	+	51.1473i	0.132544	+	1.84562i
$769$	−10.8973	+	29.9402i	−0.392968	+	1.07967i	0.572672	+	0.819785i	$0.305907\pi$
$769$	−10.8973	+	29.9402i	−0.392968	+	1.07967i	−0.965640	+	0.259885i	$0.916315\pi$
$770$	3.38615	+	6.96050i	0.122028	+	0.250839i
$771$	−1.11761	−	0.542500i	−0.0402499	−	0.0195377i
$772$	−31.1094	+	11.3229i	−1.11965	+	0.407520i
$773$	−24.1518			−0.868679			−0.434339	−	0.900749i	$-0.643018\pi$
$773$	−24.1518			−0.868679			−0.434339	+	0.900749i	$0.643018\pi$
$774$	−32.7492	+	52.8506i	−1.17715	+	1.89967i
$775$			33.1286i			1.19001i
$776$	89.0925	+	74.7575i	3.19823	+	2.68364i
$777$	0.0294456	+	33.9508i	0.00105636	+	1.21798i
$778$	−8.44957	−	47.9199i	−0.302932	−	1.71801i
$779$	−0.936994	+	2.57437i	−0.0335713	+	0.0922364i
$780$	2.30150	−	22.3003i	0.0824069	−	0.798479i
$781$	4.27996	−	24.2729i	0.153149	−	0.868552i
$782$	−2.76996	−	4.79772i	−0.0990537	−	0.171566i
$783$	1.13838	+	28.0624i	0.0406822	+	1.00287i
$784$	−42.9963	−	22.9732i	−1.53558	−	0.820472i
$785$	1.41639	+	3.89150i	0.0505532	+	0.138894i
$786$	−3.68880	+	35.7425i	−0.131575	+	1.27489i
$787$	9.90805	−	1.74706i	0.353184	−	0.0622758i	0.00575824	−	0.999983i	$-0.498167\pi$
$787$	9.90805	−	1.74706i	0.353184	−	0.0622758i	0.347425	+	0.937708i	$0.387056\pi$
$788$	7.22885	−	19.8611i	0.257517	−	0.707523i
$789$	−26.8964	−	7.65776i	−0.957537	−	0.272623i
$790$	0.837228	−	0.997769i	0.0297872	−	0.0354990i
$791$	18.2339	+	4.56581i	0.648322	+	0.162342i
$792$	−28.6861	−	36.4335i	−1.01932	−	1.29461i
$793$	2.91304	−	5.04552i	0.103445	−	0.179172i
$794$	30.7207	+	25.7777i	1.09024	+	0.914818i
$795$	4.69220	−	9.66649i	0.166415	−	0.342835i
$796$	29.4444	−	5.19185i	1.04363	−	0.184020i
$797$	21.8937	+	7.96866i	0.775515	+	0.282264i	0.699301	−	0.714827i	$-0.253495\pi$
$797$	21.8937	+	7.96866i	0.775515	+	0.282264i	0.0762137	+	0.997092i	$0.475717\pi$
$798$	−8.32054	−	1.45970i	−0.294544	−	0.0516727i
$799$	−1.06696	+	6.05101i	−0.0377462	+	0.214069i
$800$	21.5433	+	12.4380i	0.761670	+	0.439750i
$801$	−9.56787	−	29.0747i	−0.338064	−	1.02730i
$802$	−36.4618	−	63.1537i	−1.28751	−	2.23004i
$803$	−1.23611	+	7.01035i	−0.0436215	+	0.247390i
$804$	0.180308	−	0.0453159i	0.00635898	−	0.00159817i
$805$	−0.282168	+	3.97737i	−0.00994513	+	0.140184i
$806$	70.5669	+	84.0983i	2.48561	+	2.96224i
$807$	−11.7480	−	26.2535i	−0.413549	−	0.924168i
$808$	−6.56296	−	1.15723i	−0.230884	−	0.0407111i
$809$	−36.9148	−	21.3128i	−1.29786	−	0.749317i	−0.317822	−	0.948150i	$-0.602951\pi$
$809$	−36.9148	−	21.3128i	−1.29786	−	0.749317i	−0.980033	+	0.198833i	$0.936285\pi$
$810$	6.32168	+	8.56493i	0.222121	+	0.300941i
$811$			33.7669i			1.18572i	0.805307	+	0.592859i	$0.202001\pi$
$811$			33.7669i			1.18572i	−0.805307	+	0.592859i	$0.797999\pi$
$812$	63.4219	−	6.60105i	2.22567	−	0.231651i
$813$	−2.59191	+	25.1142i	−0.0909023	+	0.880795i
$814$	43.7632	+	15.9285i	1.53390	+	0.558293i
$815$	−0.777495	−	0.282985i	−0.0272344	−	0.00991253i
$816$	−2.22346	+	7.80949i	−0.0778368	+	0.273387i
$817$	5.82516	+	1.02713i	0.203797	+	0.0359348i
$818$	1.06921	−	1.85192i	0.0373839	−	0.0647508i
$819$	44.5551	+	21.5797i	1.55688	+	0.754056i
$820$	−3.91899	−	6.78790i	−0.136857	−	0.237044i
$821$	8.06058	+	22.1463i	0.281316	+	0.772910i	0.997206	+	0.0746970i	$0.0237990\pi$
$821$	8.06058	+	22.1463i	0.281316	+	0.772910i	−0.715890	+	0.698213i	$0.753979\pi$
$822$	6.45240	+	89.8472i	0.225053	+	3.13378i
$823$	−22.2555	+	18.6746i	−0.775777	+	0.650954i	−0.942181	−	0.335103i	$-0.891229\pi$
$823$	−22.2555	+	18.6746i	−0.775777	+	0.650954i	0.166404	+	0.986058i	$0.446784\pi$
$824$	6.13667	+	34.8028i	0.213781	+	1.21241i
$825$	20.4401	−	1.46791i	0.711633	−	0.0511061i
$826$	72.8925	−	7.58676i	2.53626	−	0.263977i
$827$	−28.8450	+	16.6537i	−1.00304	+	0.579105i	−0.909146	−	0.416478i	$-0.863264\pi$
$827$	−28.8450	+	16.6537i	−1.00304	+	0.579105i	−0.0938928	+	0.995582i	$0.529931\pi$
$828$	−6.18965	−	42.8720i	−0.215105	−	1.48991i
$829$	−34.3451	+	19.8291i	−1.19285	+	0.688694i	−0.958953	−	0.283566i	$-0.908482\pi$
$829$	−34.3451	+	19.8291i	−1.19285	+	0.688694i	−0.233901	+	0.972261i	$0.575149\pi$
$830$	2.14022	+	5.88021i	0.0742881	+	0.204105i
$831$	−8.43197	+	29.6157i	−0.292502	+	1.02736i
$832$	−4.37020	+	0.770585i	−0.151510	+	0.0267152i
$833$	3.14595	+	3.50818i	0.109001	+	0.121551i
$834$	−2.14289	+	2.96111i	−0.0742021	+	0.102535i
$835$	−3.08965	−	2.59253i	−0.106922	−	0.0897180i
$836$	−3.99988	+	6.92799i	−0.138339	+	0.239610i
$837$	−35.6646	−	4.80749i	−1.23275	−	0.166171i
$838$	34.3897	−	19.8549i	1.18797	−	0.685877i
$839$	48.4005	−	17.6163i	1.67097	−	0.608184i	0.678942	−	0.734192i	$-0.262439\pi$
$839$	48.4005	−	17.6163i	1.67097	−	0.608184i	0.992029	+	0.126008i	$0.0402164\pi$
$840$	10.2025	−	8.57598i	0.352019	−	0.295899i
$841$	−0.164445	+	0.137985i	−0.00567050	+	0.00475812i
$842$	−48.5316	−	57.8378i	−1.67251	−	1.99322i
$843$	−32.1713	+	31.1845i	−1.10804	+	1.07405i
$844$	42.0887	−	15.3190i	1.44875	−	0.527303i
$845$	12.0551			0.414709
$846$	−36.6559	+	59.1551i	−1.26025	+	2.03380i
$847$	3.13751	−	12.5298i	0.107806	−	0.430530i
$848$	91.4185	+	16.1196i	3.13933	+	0.553548i
$849$	4.16138	−	0.298851i	0.142818	−	0.0102565i
$850$	−5.26023	−	6.26890i	−0.180425	−	0.215022i
$851$	15.4209	+	18.3779i	0.528622	+	0.629987i
$852$	−76.7609	+	5.51260i	−2.62978	+	0.188859i
$853$	−37.1908	−	6.55774i	−1.27339	−	0.224533i	−0.504218	−	0.863576i	$-0.668219\pi$
$853$	−37.1908	−	6.55774i	−1.27339	−	0.224533i	−0.769171	+	0.639044i	$0.779330\pi$
$854$	6.03927	−	1.72512i	0.206660	−	0.0590325i
$855$	0.533441	−	0.860865i	0.0182433	−	0.0294410i
$856$	−16.5739			−0.566485
$857$	41.7013	−	15.1780i	1.42449	−	0.518472i	0.489143	−	0.872204i	$-0.337310\pi$
$857$	41.7013	−	15.1780i	1.42449	−	0.518472i	0.935347	+	0.353732i	$0.115088\pi$
$858$	48.7613	−	47.2657i	1.66468	−	1.61362i
$859$	−6.73029	−	8.02085i	−0.229635	−	0.273668i	0.638907	−	0.769284i	$-0.279387\pi$
$859$	−6.73029	−	8.02085i	−0.229635	−	0.273668i	−0.868542	+	0.495616i	$0.834942\pi$
$860$	−12.9637	+	10.8779i	−0.442059	+	0.370932i
$861$	17.0426	−	3.02031i	0.580810	−	0.102932i
$862$	−88.2409	+	32.1171i	−3.00550	+	1.09391i
$863$	16.5153	−	9.53510i	0.562187	−	0.324579i	−0.191836	−	0.981427i	$-0.561444\pi$
$863$	16.5153	−	9.53510i	0.562187	−	0.324579i	0.754023	+	0.656848i	$0.228111\pi$
$864$	−16.5165	+	21.3875i	−0.561901	+	0.727618i
$865$	−2.16887	+	3.75660i	−0.0737439	+	0.127728i
$866$	19.1966	+	16.1079i	0.652328	+	0.547368i
$867$	−16.8023	+	23.2180i	−0.570637	+	0.788526i
$868$	−5.78186	+	81.4994i	−0.196249	+	2.76627i
$869$	2.68236	−	0.472972i	0.0909928	−	0.0160445i
$870$	−3.03219	+	10.6500i	−0.102801	+	0.361069i
$871$	0.0513528	+	0.141091i	0.00174002	+	0.00478068i
$872$	61.6937	−	35.6189i	2.08921	−	1.20621i
$873$	−7.97805	−	55.2592i	−0.270016	−	1.87024i
$874$	−5.16960	+	2.98467i	−0.174864	+	0.100958i
$875$	1.24711	+	11.9821i	0.0421602	+	0.405069i
$876$	22.1696	−	1.59212i	0.749042	−	0.0537927i
$877$	6.40894	+	36.3469i	0.216414	+	1.22735i	0.878435	+	0.477862i	$0.158588\pi$
$877$	6.40894	+	36.3469i	0.216414	+	1.22735i	−0.662021	+	0.749485i	$0.730301\pi$
$878$	69.2853	−	58.1372i	2.33826	−	1.96204i
$879$	−2.28929	−	31.8775i	−0.0772157	−	1.07520i
$880$	−2.74192	−	7.53336i	−0.0924301	−	0.253950i
$881$	14.1834	+	24.5664i	0.477851	+	0.827662i	0.999678	−	0.0253894i	$-0.00808256\pi$
$881$	14.1834	+	24.5664i	0.477851	+	0.827662i	−0.521827	+	0.853052i	$0.674749\pi$
$882$	18.3407	+	50.1199i	0.617562	+	1.68762i
$883$	−1.51080	+	2.61677i	−0.0508423	+	0.0880615i	−0.890327	−	0.455323i	$-0.849524\pi$
$883$	−1.51080	+	2.61677i	−0.0508423	+	0.0880615i	0.839484	+	0.543384i	$0.182857\pi$
$884$	−18.4370	−	3.25094i	−0.620103	−	0.109341i
$885$	−2.40586	+	8.45013i	−0.0808721	+	0.284048i
$886$	31.7866	+	11.5694i	1.06789	+	0.388681i
$887$	0.118237	+	0.0430349i	0.00397003	+	0.00144497i	0.344004	−	0.938968i	$-0.388216\pi$
$887$	0.118237	+	0.0430349i	0.00397003	+	0.00144497i	−0.340034	+	0.940413i	$0.610439\pi$
$888$	8.23235	−	79.7671i	0.276260	−	2.67681i
$889$	20.1158	−	14.5839i	0.674664	−	0.489130i
$890$		−	12.0680i		−	0.404520i
$891$	−1.38590	+	22.2179i	−0.0464295	+	0.744327i
$892$	110.876	+	64.0140i	3.71239	+	2.14335i
$893$	6.52005	+	1.14966i	0.218185	+	0.0384719i
$894$	4.02692	+	8.99906i	0.134680	+	0.300974i
$895$	3.43353	+	4.09192i	0.114770	+	0.136778i
$896$	−26.7617	−	18.0904i	−0.894044	−	0.604357i
$897$	33.9274	−	8.52680i	1.13280	−	0.284701i
$898$	3.29654	−	18.6956i	0.110007	−	0.623881i
$899$	−18.7170	−	32.4188i	−0.624248	−	1.08123i
$900$	−20.0014	−	60.7799i	−0.666714	−	2.02600i
$901$	−7.77086	−	4.48651i	−0.258885	−	0.149467i
$902$	4.12282	−	23.3817i	0.137275	−	0.778525i
$903$	−12.8117	−	35.1051i	−0.426347	−	1.16823i
$904$	−41.7201	−	15.1849i	−1.38759	−	0.505041i
$905$	−2.35172	+	0.414672i	−0.0781740	+	0.0137842i
$906$	5.65768	−	11.6555i	0.187964	−	0.387228i
$907$	−5.90765	−	4.95711i	−0.196160	−	0.164598i	0.539417	−	0.842039i	$-0.318645\pi$
$907$	−5.90765	−	4.95711i	−0.196160	−	0.164598i	−0.735577	+	0.677441i	$0.763089\pi$
$908$	5.19051	−	8.99023i	0.172253	−	0.298351i
$909$	1.97910	+	2.51361i	0.0656427	+	0.0833711i
$910$	14.0268	+	13.5730i	0.464985	+	0.449941i
$911$	3.55791	−	4.24015i	0.117879	−	0.140482i	−0.703878	−	0.710321i	$-0.748550\pi$
$911$	3.55791	−	4.24015i	0.117879	−	0.140482i	0.821757	+	0.569838i	$0.192994\pi$
$912$	8.41483	+	2.39581i	0.278643	+	0.0793333i
$913$	−4.47556	+	12.2965i	−0.148120	+	0.406955i
$914$	64.8700	−	11.4383i	2.14571	−	0.378346i
$915$	−0.0773005	+	0.749001i	−0.00255548	+	0.0247612i
$916$	−17.1834	−	47.2111i	−0.567757	−	1.55990i
$917$	−15.5204	−	15.0183i	−0.512530	−	0.495947i
$918$	7.51215	−	4.75320i	0.247938	−	0.156879i
$919$	0.511927	+	0.886684i	0.0168869	+	0.0292490i	0.874345	−	0.485304i	$-0.161291\pi$
$919$	0.511927	+	0.886684i	0.0168869	+	0.0292490i	−0.857458	+	0.514553i	$0.827958\pi$
$920$	1.63543	−	9.27496i	0.0539184	−	0.305786i
$921$	−1.81828	+	17.6182i	−0.0599143	+	0.580538i
$922$	21.9492	−	60.3048i	0.722857	−	1.98603i
$923$	−10.7926	−	61.2076i	−0.355241	−	2.01467i
$924$	50.5408	−	0.0438343i	1.66267	−	0.00144204i
$925$	27.1475	+	22.7795i	0.892605	+	0.748984i
$926$			51.1887i			1.68216i
$927$	8.93607	−	14.4210i	0.293499	−	0.473648i
$928$	−28.1090			−0.922723
$929$	−21.0190	+	7.65030i	−0.689612	+	0.250998i	−0.662969	−	0.748647i	$-0.730704\pi$
$929$	−21.0190	+	7.65030i	−0.689612	+	0.250998i	−0.0266431	+	0.999645i	$0.508482\pi$
$930$	−12.7643	−	6.19592i	−0.418559	−	0.203172i
$931$	3.78012	−	3.38981i	0.123888	−	0.111096i
$932$	−20.4121	+	56.0817i	−0.668620	+	1.83702i
$933$	3.07894	+	42.8731i	0.100800	+	1.40360i
$934$	−7.04902	+	8.40070i	−0.230651	+	0.274879i
$935$			0.774923i			0.0253427i
$936$	−99.3959	−	61.5913i	−3.24886	−	2.01318i
$937$	−12.3038	−	7.10360i	−0.401947	−	0.232064i	0.285377	−	0.958415i	$-0.407881\pi$
$937$	−12.3038	−	7.10360i	−0.401947	−	0.232064i	−0.687324	+	0.726351i	$0.741215\pi$
$938$	−0.0659862	+	0.147805i	−0.00215453	+	0.00482600i
$939$	27.6831	+	7.88174i	0.903404	+	0.257211i
$940$	−14.5102	+	12.1755i	−0.473270	+	0.397120i
$941$	−5.57685	−	31.6279i	−0.181800	−	1.03104i	−0.929998	−	0.367564i	$-0.880192\pi$
$941$	−5.57685	−	31.6279i	−0.181800	−	1.03104i	0.748198	−	0.663475i	$-0.230919\pi$
$942$	38.9617	+	4.02103i	1.26944	+	0.131012i
$943$	7.86161	−	9.36910i	0.256009	−	0.305100i
$944$	−75.9032			−2.47044
$945$	−6.39537	−	0.193719i	−0.208041	−	0.00630169i
$946$	−51.2620			−1.66667
$947$	−26.6191	+	31.7234i	−0.865004	+	1.03087i	0.134198	+	0.990954i	$0.457154\pi$
$947$	−26.6191	+	31.7234i	−0.865004	+	1.03087i	−0.999203	+	0.0399177i	$0.987290\pi$
$948$	−3.47371	−	7.76280i	−0.112821	−	0.252124i
$949$	3.11704	+	17.6776i	0.101184	+	0.573840i
$950$	−6.75483	+	5.66797i	−0.219155	+	0.183893i
$951$	−7.93407	+	7.69070i	−0.257280	+	0.249388i
$952$	−6.53293	−	9.01096i	−0.211733	−	0.292047i
$953$	29.7841	+	17.1959i	0.964803	+	0.557029i	0.897648	−	0.440713i	$-0.145274\pi$
$953$	29.7841	+	17.1959i	0.964803	+	0.557029i	0.0671552	+	0.997743i	$0.478608\pi$
$954$	−62.8696	−	79.8491i	−2.03548	−	2.58521i
$955$			8.15488i			0.263886i
$956$	−70.0767	+	83.5142i	−2.26644	+	2.70104i
$957$	−19.1729	+	12.9847i	−0.619771	+	0.419737i
$958$	−1.66730	+	4.58087i	−0.0538680	+	0.148001i
$959$	−44.8547	−	30.3209i	−1.44843	−	0.979114i
$960$	0.474876	−	0.321608i	0.0153266	−	0.0103798i
$961$	15.9427	−	5.80268i	0.514281	−	0.187183i
$962$	117.438			3.78634
$963$	5.93280	+	5.30168i	0.191182	+	0.170844i
$964$		−	56.7901i		−	1.82909i
$965$	2.64707	+	2.22115i	0.0852121	+	0.0715014i
$966$	32.6769	+	18.8282i	1.05136	+	0.605788i
$967$	0.771534	+	4.37559i	0.0248109	+	0.140709i	0.994697	−	0.102850i	$-0.0327961\pi$
$967$	0.771534	+	4.37559i	0.0248109	+	0.140709i	−0.969886	+	0.243559i	$0.921685\pi$
$968$	−10.4346	+	28.6689i	−0.335382	+	0.921455i
$969$	−0.685134	−	0.495815i	−0.0220097	−	0.0159279i
$970$	3.82250	−	21.6785i	0.122733	−	0.696053i
$971$	19.3649	+	33.5409i	0.621448	+	1.07638i	0.989216	+	0.146462i	$0.0467888\pi$
$971$	19.3649	+	33.5409i	0.621448	+	1.07638i	−0.367768	+	0.929918i	$0.619878\pi$
$972$	68.3353	−	12.7124i	2.19185	−	0.407752i
$973$	−0.603416	−	2.11243i	−0.0193446	−	0.0677213i
$974$	−17.7803	−	48.8510i	−0.569718	−	1.56529i
$975$	47.1683	−	21.1070i	1.51059	−	0.675964i
$976$	−6.40628	+	1.12960i	−0.205060	+	0.0361576i
$977$	−6.19981	+	17.0338i	−0.198349	+	0.544961i	−0.998495	−	0.0548455i	$-0.982533\pi$
$977$	−6.19981	+	17.0338i	−0.198349	+	0.544961i	0.800145	+	0.599806i	$0.204756\pi$
$978$	−5.61905	+	5.44669i	−0.179677	+	0.174166i
$979$	16.2215	−	19.3320i	0.518442	−	0.617855i
$980$	0.477592	+	14.5187i	0.0152561	+	0.463782i
$981$	−33.4777	−	6.98451i	−1.06886	−	0.222998i
$982$	−36.0784	+	62.4895i	−1.15131	+	1.99412i
$983$	−4.94956	−	4.15317i	−0.157866	−	0.132466i	0.560433	−	0.828200i	$-0.310635\pi$
$983$	−4.94956	−	4.15317i	−0.157866	−	0.132466i	−0.718299	+	0.695734i	$0.755079\pi$
$984$	−40.7764	+	2.92837i	−1.29990	+	0.0933529i
$985$	−2.17257	+	0.383082i	−0.0692238	+	0.0122060i
$986$	8.68936	+	3.16267i	0.276725	+	0.100720i
$987$	−14.3400	−	39.2928i	−0.456448	−	1.25070i
$988$	−3.50293	+	19.8661i	−0.111443	+	0.632024i
$989$	−22.8689	−	13.2034i	−0.727190	−	0.419843i
$990$	−3.25726	+	8.15004i	−0.103522	+	0.259025i
$991$	−18.8875	−	32.7141i	−0.599981	−	1.03920i	−0.992823	−	0.119591i	$-0.961842\pi$
$991$	−18.8875	−	32.7141i	−0.599981	−	1.03920i	0.392842	−	0.919606i	$-0.371492\pi$
$992$	6.25434	−	35.4701i	0.198575	−	1.12618i
$993$	−11.1021	−	11.4534i	−0.352315	−	0.363463i
$994$	37.5239	−	55.5102i	1.19019	−	1.76068i
$995$	−2.00597	−	2.39062i	−0.0635934	−	0.0757877i
$996$	40.6427	+	4.19452i	1.28781	+	0.132909i
$997$	42.1085	+	7.42486i	1.33359	+	0.235148i	0.794584	−	0.607155i	$-0.207689\pi$
$997$	42.1085	+	7.42486i	1.33359	+	0.235148i	0.539005	+	0.842302i	$0.318800\pi$
$998$	−51.5318	−	29.7519i	−1.63121	−	0.941780i
$999$	−28.4629	+	25.9201i	−0.900525	+	0.820075i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.ba.a.101.1	✓	132
3.2	odd	2		567.2.ba.a.143.22		132
7.5	odd	6		189.2.bd.a.47.22	yes	132
21.5	even	6		567.2.bd.a.467.1		132
27.4	even	9		567.2.bd.a.17.1		132
27.23	odd	18		189.2.bd.a.185.22	yes	132
189.131	even	18	inner	189.2.ba.a.131.1	yes	132
189.166	odd	18		567.2.ba.a.341.22		132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.ba.a.101.1	✓	132	1.1	even	1	trivial
189.2.ba.a.131.1	yes	132	189.131	even	18	inner
189.2.bd.a.47.22	yes	132	7.5	odd	6
189.2.bd.a.185.22	yes	132	27.23	odd	18
567.2.ba.a.143.22		132	3.2	odd	2
567.2.ba.a.341.22		132	189.166	odd	18
567.2.bd.a.17.1		132	27.4	even	9
567.2.bd.a.467.1		132	21.5	even	6

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 189 = 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	189.ba (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.63361 + 1.94686i) q^{2} +(1.01544 - 1.40317i) q^{3} +(-0.774283 - 4.39118i) q^{4} +(-0.356523 + 0.299159i) q^{5} +(1.07294 + 4.26914i) q^{6} +(-2.41592 - 1.07857i) q^{7} +(5.41196 + 3.12460i) q^{8} +(-0.937767 - 2.84967i) q^{9} -1.18281i q^{10} +(1.58990 - 1.89477i) q^{11} +(-6.94780 - 3.37252i) q^{12} +(2.13324 - 5.86102i) q^{13} +(6.04649 - 2.94150i) q^{14} +(0.0577423 + 0.804040i) q^{15} +(-6.54413 + 2.38187i) q^{16} +0.673165 q^{17} +(7.07983 + 2.82953i) q^{18} -0.725344i q^{19} +(1.58971 + 1.33392i) q^{20} +(-3.96664 + 2.29473i) q^{21} +(1.09157 + 6.19062i) q^{22} +(-1.10753 + 3.04291i) q^{23} +(9.87985 - 4.42106i) q^{24} +(-0.830628 + 4.71072i) q^{25} +(7.92569 + 13.7277i) q^{26} +(-4.95081 - 1.57782i) q^{27} +(-2.86558 + 11.4439i) q^{28} +(-1.84864 - 5.07909i) q^{29} +(-1.65968 - 1.20107i) q^{30} +(6.82052 - 1.20264i) q^{31} +(1.77867 - 4.88687i) q^{32} +(-1.04424 - 4.15493i) q^{33} +(-1.09969 + 1.31055i) q^{34} +(1.18400 - 0.338210i) q^{35} +(-11.7873 + 6.32435i) q^{36} +(3.70433 - 6.41609i) q^{37} +(1.41214 + 1.18493i) q^{38} +(-6.05783 - 8.94480i) q^{39} +(-2.86424 + 0.505043i) q^{40} +(-3.54917 - 1.29179i) q^{41} +(2.01242 - 11.4712i) q^{42} +(-1.41606 + 8.03089i) q^{43} +(-9.55132 - 5.51446i) q^{44} +(1.18684 + 0.735431i) q^{45} +(-4.11484 - 7.12711i) q^{46} +(-1.58499 + 8.98890i) q^{47} +(-3.30300 + 11.6012i) q^{48} +(4.67338 + 5.21148i) q^{49} +(-7.81418 - 9.31258i) q^{50} +(0.683558 - 0.944564i) q^{51} +(-27.3885 - 4.82933i) q^{52} +(-11.5438 - 6.66480i) q^{53} +(11.1595 - 7.06098i) q^{54} +1.15116i q^{55} +(-9.70479 - 13.3860i) q^{56} +(-1.01778 - 0.736543i) q^{57} +(12.9082 + 4.69821i) q^{58} +(10.2419 + 3.72774i) q^{59} +(3.48597 - 0.876111i) q^{60} +(0.919898 + 0.162203i) q^{61} +(-8.80068 + 15.2432i) q^{62} +(-0.807987 + 7.89602i) q^{63} +(-0.355740 - 0.616160i) q^{64} +(0.992826 + 2.72777i) q^{65} +(9.79492 + 4.75454i) q^{66} +(-0.0184408 + 0.0154737i) q^{67} +(-0.521220 - 2.95599i) q^{68} +(3.14509 + 4.64393i) q^{69} +(-1.27574 + 2.85757i) q^{70} +(8.62973 - 4.98238i) q^{71} +(3.82890 - 18.3524i) q^{72} +(-2.49239 + 1.43898i) q^{73} +(6.43979 + 17.6932i) q^{74} +(5.76649 + 5.94897i) q^{75} +(-3.18511 + 0.561622i) q^{76} +(-5.88473 + 2.86281i) q^{77} +(27.3103 + 2.81856i) q^{78} +(0.843560 + 0.707831i) q^{79} +(1.62058 - 2.80692i) q^{80} +(-7.24119 + 5.34464i) q^{81} +(8.31288 - 4.79945i) q^{82} +(-4.97140 + 1.80944i) q^{83} +(13.1479 + 15.6414i) q^{84} +(-0.239999 + 0.201383i) q^{85} +(-13.3217 - 15.8762i) q^{86} +(-9.00401 - 2.56356i) q^{87} +(14.5249 - 5.28663i) q^{88} +10.2028 q^{89} +(-3.37060 + 1.10920i) q^{90} +(-11.4753 + 11.8589i) q^{91} +(14.2195 + 2.50728i) q^{92} +(5.23832 - 10.7916i) q^{93} +(-14.9109 - 17.7701i) q^{94} +(0.216993 + 0.258602i) q^{95} +(-5.05097 - 7.45810i) q^{96} +(18.3280 + 3.23172i) q^{97} +(-17.7805 + 0.584889i) q^{98} +(-6.89043 - 2.75384i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) \) 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 18 * q^6 - 6 * q^7 - 18 * q^8 + 3 * q^9 - 9 * q^11 - 9 * q^12 + 3 * q^14 - 24 * q^15 + 3 * q^16 - 18 * q^17 - 3 * q^18 + 18 * q^20 - 21 * q^21 - 12 * q^22 - 6 * q^23 - 9 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 + 51 * q^30 - 9 * q^31 + 3 * q^32 - 9 * q^33 - 18 * q^34 + 18 * q^35 + 3 * q^37 - 99 * q^38 - 36 * q^39 - 54 * q^40 - 45 * q^42 - 12 * q^43 - 9 * q^44 - 9 * q^45 + 3 * q^46 + 45 * q^47 - 24 * q^49 - 9 * q^50 - 48 * q^51 - 9 * q^52 - 45 * q^53 + 171 * q^54 + 3 * q^56 - 3 * q^58 + 36 * q^59 + 57 * q^60 - 9 * q^61 - 99 * q^62 - 33 * q^63 + 18 * q^64 + 69 * q^65 - 9 * q^66 - 3 * q^67 + 36 * q^68 + 108 * q^69 + 66 * q^70 + 18 * q^71 - 129 * q^72 - 9 * q^73 + 75 * q^74 + 36 * q^75 + 36 * q^76 + 15 * q^77 + 66 * q^78 - 21 * q^79 + 72 * q^80 - 33 * q^81 - 18 * q^82 - 90 * q^83 - 120 * q^84 + 9 * q^85 - 105 * q^86 - 54 * q^87 - 63 * q^88 - 18 * q^89 + 81 * q^90 + 6 * q^91 + 150 * q^92 + 21 * q^93 - 9 * q^94 + 45 * q^95 - 81 * q^96 + 27 * q^98 + 96 * q^99

Introduction

L-functions

Modular forms

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