LMFDB - Embedded newform 350.2.x.a.283.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [350,2,Mod(3,350)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(350, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([21, 10])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("350.3"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.x (of order $60$, degree $16$, 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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			283.3
Character	$\chi$	$=$	350.283
Dual form			350.2.x.a.47.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0523360 - 0.998630i) q^{2} +(-1.44392 - 1.16927i) q^{3} +(-0.994522 + 0.104528i) q^{4} +(-0.707470 - 2.12120i) q^{5} +(-1.09209 + 1.50314i) q^{6} +(-1.96777 + 1.76858i) q^{7} +(0.156434 + 0.987688i) q^{8} +(0.0939963 + 0.442218i) q^{9} +(-2.08127 + 0.817515i) q^{10} +(-3.00927 - 0.639640i) q^{11} +(1.55823 + 1.01193i) q^{12} +(2.58168 + 5.06684i) q^{13} +(1.86915 + 1.87251i) q^{14} +(-1.45871 + 3.89007i) q^{15} +(0.978148 - 0.207912i) q^{16} +(2.03875 + 0.782602i) q^{17} +(0.436693 - 0.117011i) q^{18} +(0.485510 - 4.61932i) q^{19} +(0.925320 + 2.03563i) q^{20} +(4.90925 - 0.252856i) q^{21} +(-0.481271 + 3.03862i) q^{22} +(-6.00004 + 0.314449i) q^{23} +(0.928991 - 1.60906i) q^{24} +(-3.99897 + 3.00137i) q^{25} +(4.92478 - 2.84332i) q^{26} +(-2.14917 + 4.21799i) q^{27} +(1.77212 - 1.96458i) q^{28} +(-3.82999 - 5.27153i) q^{29} +(3.96108 + 1.25313i) q^{30} +(4.18823 + 9.40693i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(3.59725 + 4.44223i) q^{33} +(0.674830 - 2.07691i) q^{34} +(5.14366 + 2.92281i) q^{35} +(-0.139706 - 0.429970i) q^{36} +(-3.39371 + 5.22586i) q^{37} +(-4.63840 - 0.243088i) q^{38} +(2.19673 - 10.3348i) q^{39} +(1.98441 - 1.03059i) q^{40} +(-1.03712 - 0.336981i) q^{41} +(-0.509440 - 4.88929i) q^{42} +(-5.79763 - 5.79763i) q^{43} +(3.05965 + 0.321582i) q^{44} +(0.871533 - 0.512241i) q^{45} +(0.628036 + 5.97536i) q^{46} +(-1.41684 - 3.69099i) q^{47} +(-1.65547 - 0.843506i) q^{48} +(0.744219 - 6.96033i) q^{49} +(3.20654 + 3.83641i) q^{50} +(-2.02873 - 3.51386i) q^{51} +(-3.09717 - 4.76923i) q^{52} +(1.02606 - 1.26707i) q^{53} +(4.32469 + 1.92547i) q^{54} +(0.772163 + 6.83579i) q^{55} +(-2.05464 - 1.66687i) q^{56} +(-6.10225 + 6.10225i) q^{57} +(-5.06386 + 4.10063i) q^{58} +(-9.35336 - 10.3880i) q^{59} +(1.04410 - 4.02124i) q^{60} +(-6.89148 - 6.20512i) q^{61} +(9.17484 - 4.67482i) q^{62} +(-0.967063 - 0.703942i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(8.92132 - 9.06090i) q^{65} +(4.24788 - 3.82481i) q^{66} +(0.147357 - 0.383877i) q^{67} +(-2.10938 - 0.565208i) q^{68} +(9.03128 + 6.56161i) q^{69} +(2.64960 - 5.28957i) q^{70} +(-9.97005 + 7.24366i) q^{71} +(-0.422069 + 0.162017i) q^{72} +(1.73145 - 1.12441i) q^{73} +(5.39631 + 3.11556i) q^{74} +(9.28361 + 0.342119i) q^{75} +4.64476i q^{76} +(7.05280 - 4.06349i) q^{77} +(-10.4356 - 1.65284i) q^{78} +(1.10389 - 2.47938i) q^{79} +(-1.13303 - 1.92775i) q^{80} +(9.27422 - 4.12915i) q^{81} +(-0.282241 + 1.05334i) q^{82} +(4.04628 - 0.640868i) q^{83} +(-4.85593 + 0.764628i) q^{84} +(0.217703 - 4.87826i) q^{85} +(-5.48626 + 6.09310i) q^{86} +(-0.633608 + 12.0900i) q^{87} +(0.161012 - 3.07228i) q^{88} +(-1.77640 + 1.97289i) q^{89} +(-0.557151 - 0.843530i) q^{90} +(-14.0413 - 5.40444i) q^{91} +(5.93431 - 0.939902i) q^{92} +(4.95171 - 18.4800i) q^{93} +(-3.61178 + 1.60807i) q^{94} +(-10.1420 + 2.23816i) q^{95} +(-0.755709 + 1.69735i) q^{96} +(-16.0022 - 2.53451i) q^{97} +(-6.98974 - 0.378923i) q^{98} -1.39088i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{20}\right)$

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 $

$2$	−0.0523360	−	0.998630i	−0.0370071	−	0.706138i
$2$	−0.0523360	−	0.998630i	−0.0370071	−	0.706138i
$3$	−1.44392	−	1.16927i	−0.833649	−	0.675076i	0.114318	−	0.993444i	$-0.463532\pi$
$3$	−1.44392	−	1.16927i	−0.833649	−	0.675076i	−0.947967	+	0.318368i	$0.896865\pi$
$4$	−0.994522	+	0.104528i	−0.497261	+	0.0522642i
$5$	−0.707470	−	2.12120i	−0.316390	−	0.948629i
$5$	−0.707470	−	2.12120i	−0.316390	−	0.948629i
$6$	−1.09209	+	1.50314i	−0.445846	+	0.613654i
$7$	−1.96777	+	1.76858i	−0.743746	+	0.668462i
$7$	−1.96777	+	1.76858i	−0.743746	+	0.668462i
$8$	0.156434	+	0.987688i	0.0553079	+	0.349201i
$9$	0.0939963	+	0.442218i	0.0313321	+	0.147406i
$10$	−2.08127	+	0.817515i	−0.658154	+	0.258521i
$11$	−3.00927	−	0.639640i	−0.907329	−	0.192859i	−0.269467	−	0.963009i	$-0.586848\pi$
$11$	−3.00927	−	0.639640i	−0.907329	−	0.192859i	−0.637862	+	0.770151i	$0.720181\pi$
$12$	1.55823	+	1.01193i	0.449824	+	0.292119i
$13$	2.58168	+	5.06684i	0.716031	+	1.40529i	0.905905	+	0.423481i	$0.139192\pi$
$13$	2.58168	+	5.06684i	0.716031	+	1.40529i	−0.189875	+	0.981808i	$0.560808\pi$
$14$	1.86915	+	1.87251i	0.499550	+	0.500449i
$15$	−1.45871	+	3.89007i	−0.376639	+	1.00441i
$16$	0.978148	−	0.207912i	0.244537	−	0.0519779i
$17$	2.03875	+	0.782602i	0.494469	+	0.189809i	0.592808	−	0.805344i	$-0.298019\pi$
$17$	2.03875	+	0.782602i	0.494469	+	0.189809i	−0.0983386	+	0.995153i	$0.531353\pi$
$18$	0.436693	−	0.117011i	0.102929	−	0.0275799i
$19$	0.485510	−	4.61932i	0.111384	−	1.05974i	−0.785919	−	0.618329i	$-0.787810\pi$
$19$	0.485510	−	4.61932i	0.111384	−	1.05974i	0.897303	−	0.441415i	$-0.145523\pi$
$20$	0.925320	+	2.03563i	0.206908	+	0.455180i
$21$	4.90925	−	0.252856i	1.07129	−	0.0551778i
$22$	−0.481271	+	3.03862i	−0.102607	+	0.647837i
$23$	−6.00004	+	0.314449i	−1.25110	+	0.0655671i	−0.666343	−	0.745645i	$-0.732142\pi$
$23$	−6.00004	+	0.314449i	−1.25110	+	0.0655671i	−0.584752	+	0.811212i	$0.698808\pi$
$24$	0.928991	−	1.60906i	0.189630	−	0.328448i
$25$	−3.99897	+	3.00137i	−0.799795	+	0.600274i
$26$	4.92478	−	2.84332i	0.965829	−	0.557622i
$27$	−2.14917	+	4.21799i	−0.413608	+	0.811752i
$28$	1.77212	−	1.96458i	0.334899	−	0.371271i
$29$	−3.82999	−	5.27153i	−0.711211	−	0.978898i	−0.999770	−	0.0214363i	$-0.993176\pi$
$29$	−3.82999	−	5.27153i	−0.711211	−	0.978898i	0.288559	−	0.957462i	$-0.406824\pi$
$30$	3.96108	+	1.25313i	0.723191	+	0.228788i
$31$	4.18823	+	9.40693i	0.752229	+	1.68953i	0.723870	+	0.689936i	$0.242362\pi$
$31$	4.18823	+	9.40693i	0.752229	+	1.68953i	0.0283591	+	0.999598i	$0.490972\pi$
$32$	−0.258819	−	0.965926i	−0.0457532	−	0.170753i
$33$	3.59725	+	4.44223i	0.626200	+	0.773293i
$34$	0.674830	−	2.07691i	0.115732	−	0.356187i
$35$	5.14366	+	2.92281i	0.869436	+	0.494045i
$36$	−0.139706	−	0.429970i	−0.0232843	−	0.0716617i
$37$	−3.39371	+	5.22586i	−0.557923	+	0.859127i	−0.999270	−	0.0382103i	$-0.987834\pi$
$37$	−3.39371	+	5.22586i	−0.557923	+	0.859127i	0.441346	+	0.897337i	$0.354501\pi$
$38$	−4.63840	−	0.243088i	−0.752447	−	0.0394341i
$39$	2.19673	−	10.3348i	0.351759	−	1.65489i
$40$	1.98441	−	1.03059i	0.313763	−	0.162950i
$41$	−1.03712	−	0.336981i	−0.161971	−	0.0526277i	0.226909	−	0.973916i	$-0.427138\pi$
$41$	−1.03712	−	0.336981i	−0.161971	−	0.0526277i	−0.388880	+	0.921288i	$0.627138\pi$
$42$	−0.509440	−	4.88929i	−0.0786083	−	0.754434i
$43$	−5.79763	−	5.79763i	−0.884130	−	0.884130i	0.109822	−	0.993951i	$-0.464972\pi$
$43$	−5.79763	−	5.79763i	−0.884130	−	0.884130i	−0.993951	+	0.109822i	$0.964972\pi$
$44$	3.05965	+	0.321582i	0.461259	+	0.0484803i
$45$	0.871533	−	0.512241i	0.129920	−	0.0763603i
$46$	0.628036	+	5.97536i	0.0925989	+	0.881019i
$47$	−1.41684	−	3.69099i	−0.206667	−	0.538386i	0.790595	−	0.612340i	$-0.209772\pi$
$47$	−1.41684	−	3.69099i	−0.206667	−	0.538386i	−0.997262	+	0.0739538i	$0.976438\pi$
$48$	−1.65547	−	0.843506i	−0.238947	−	0.121750i
$49$	0.744219	−	6.96033i	0.106317	−	0.994332i
$50$	3.20654	+	3.83641i	0.453474	+	0.542551i
$51$	−2.02873	−	3.51386i	−0.284078	−	0.492038i
$52$	−3.09717	−	4.76923i	−0.429500	−	0.661373i
$53$	1.02606	−	1.26707i	0.140940	−	0.174046i	−0.701788	−	0.712385i	$-0.747615\pi$
$53$	1.02606	−	1.26707i	0.140940	−	0.174046i	0.842728	+	0.538339i	$0.180948\pi$
$54$	4.32469	+	1.92547i	0.588515	+	0.262024i
$55$	0.772163	+	6.83579i	0.104118	+	0.921738i
$56$	−2.05464	−	1.66687i	−0.274562	−	0.222745i
$57$	−6.10225	+	6.10225i	−0.808263	+	0.808263i
$58$	−5.06386	+	4.10063i	−0.664917	+	0.538439i
$59$	−9.35336	−	10.3880i	−1.21770	−	1.35240i	−0.917105	−	0.398646i	$-0.869480\pi$
$59$	−9.35336	−	10.3880i	−1.21770	−	1.35240i	−0.300598	−	0.953751i	$-0.597186\pi$
$60$	1.04410	−	4.02124i	0.134793	−	0.519139i
$61$	−6.89148	−	6.20512i	−0.882364	−	0.794484i	0.0972739	−	0.995258i	$-0.468988\pi$
$61$	−6.89148	−	6.20512i	−0.882364	−	0.794484i	−0.979638	+	0.200774i	$0.935654\pi$
$62$	9.17484	−	4.67482i	1.16521	−	0.593702i
$63$	−0.967063	−	0.703942i	−0.121838	−	0.0886883i
$64$	−0.951057	+	0.309017i	−0.118882	+	0.0386271i
$65$	8.92132	−	9.06090i	1.10655	−	1.12387i
$66$	4.24788	−	3.82481i	0.522878	−	0.470801i
$67$	0.147357	−	0.383877i	0.0180025	−	0.0468981i	−0.924285	−	0.381704i	$-0.875337\pi$
$67$	0.147357	−	0.383877i	0.0180025	−	0.0468981i	0.942287	+	0.334806i	$0.108671\pi$
$68$	−2.10938	−	0.565208i	−0.255800	−	0.0685415i
$69$	9.03128	+	6.56161i	1.08724	+	0.789925i
$70$	2.64960	−	5.28957i	0.316688	−	0.632225i
$71$	−9.97005	+	7.24366i	−1.18323	+	0.859665i	−0.992532	−	0.121984i	$-0.961074\pi$
$71$	−9.97005	+	7.24366i	−1.18323	+	0.859665i	−0.190695	+	0.981649i	$0.561074\pi$
$72$	−0.422069	+	0.162017i	−0.0497413	+	0.0190939i
$73$	1.73145	−	1.12441i	0.202651	−	0.131603i	−0.439324	−	0.898329i	$-0.644782\pi$
$73$	1.73145	−	1.12441i	0.202651	−	0.131603i	0.641975	+	0.766726i	$0.278115\pi$
$74$	5.39631	+	3.11556i	0.627309	+	0.362177i
$75$	9.28361	+	0.342119i	1.07198	+	0.0395045i
$76$			4.64476i			0.532791i
$77$	7.05280	−	4.06349i	0.803742	−	0.463077i
$78$	−10.4356	−	1.65284i	−1.18160	−	0.187147i
$79$	1.10389	−	2.47938i	0.124198	−	0.278952i	−0.840737	−	0.541444i	$-0.817878\pi$
$79$	1.10389	−	2.47938i	0.124198	−	0.278952i	0.964934	+	0.262492i	$0.0845443\pi$
$80$	−1.13303	−	1.92775i	−0.126677	−	0.215530i
$81$	9.27422	−	4.12915i	1.03047	−	0.458794i
$82$	−0.282241	+	1.05334i	−0.0311683	+	0.116322i
$83$	4.04628	−	0.640868i	0.444137	−	0.0703444i	0.0696393	−	0.997572i	$-0.477815\pi$
$83$	4.04628	−	0.640868i	0.444137	−	0.0703444i	0.374498	+	0.927228i	$0.377815\pi$
$84$	−4.85593	+	0.764628i	−0.529825	+	0.0834277i
$85$	0.217703	−	4.87826i	0.0236132	−	0.529121i
$86$	−5.48626	+	6.09310i	−0.591598	+	0.657036i
$87$	−0.633608	+	12.0900i	−0.0679299	+	1.29618i
$88$	0.161012	−	3.07228i	0.0171639	−	0.327507i
$89$	−1.77640	+	1.97289i	−0.188298	+	0.209126i	−0.829901	−	0.557911i	$-0.811603\pi$
$89$	−1.77640	+	1.97289i	−0.188298	+	0.209126i	0.641603	+	0.767037i	$0.278270\pi$
$90$	−0.557151	−	0.843530i	−0.0587289	−	0.0889159i
$91$	−14.0413	−	5.40444i	−1.47193	−	0.566539i
$92$	5.93431	−	0.939902i	0.618694	−	0.0979915i
$93$	4.95171	−	18.4800i	0.513469	−	1.91629i
$94$	−3.61178	+	1.60807i	−0.372527	+	0.165860i
$95$	−10.1420	+	2.23816i	−1.04055	+	0.229631i
$96$	−0.755709	+	1.69735i	−0.0771293	+	0.173235i
$97$	−16.0022	−	2.53451i	−1.62478	−	0.257340i	−0.723420	−	0.690408i	$-0.757431\pi$
$97$	−16.0022	−	2.53451i	−1.62478	−	0.257340i	−0.901361	+	0.433068i	$0.857431\pi$
$98$	−6.98974	−	0.378923i	−0.706070	−	0.0382771i
$99$		−	1.39088i		−	0.139788i
$100$	3.66334	−	3.40293i	0.366334	−	0.340293i
$101$	9.37519	+	5.41277i	0.932866	+	0.538591i	0.887717	−	0.460390i	$-0.152290\pi$
$101$	9.37519	+	5.41277i	0.932866	+	0.538591i	0.0451493	+	0.998980i	$0.485624\pi$
$102$	−3.40286	+	2.20985i	−0.336934	+	0.218807i
$103$	−6.61567	+	2.53952i	−0.651861	+	0.250226i	−0.661749	−	0.749725i	$-0.730186\pi$
$103$	−6.61567	+	2.53952i	−0.651861	+	0.250226i	0.00988829	+	0.999951i	$0.496852\pi$
$104$	−4.60060	+	3.34253i	−0.451126	+	0.327762i
$105$	−4.00950	−	10.2346i	−0.391288	−	0.998796i
$106$	−1.31904	−	0.958336i	−0.128116	−	0.0930818i
$107$	1.26368	+	0.338602i	0.122164	+	0.0327339i	0.319383	−	0.947626i	$-0.396524\pi$
$107$	1.26368	+	0.338602i	0.122164	+	0.0327339i	−0.197219	+	0.980359i	$0.563191\pi$
$108$	1.69650	−	4.41953i	0.163246	−	0.425269i
$109$	11.5463	−	10.3964i	1.10594	−	0.995791i	0.105939	−	0.994373i	$-0.466215\pi$
$109$	11.5463	−	10.3964i	1.10594	−	0.995791i	0.999999	−	0.00141805i	$-0.000451379\pi$
$110$	6.78601	−	1.12886i	0.647021	−	0.107633i
$111$	11.0107	−	3.57759i	1.04509	−	0.339570i
$112$	−1.55706	+	2.13906i	−0.147128	+	0.202122i
$113$	−1.48942	+	0.758898i	−0.140113	+	0.0713911i	−0.522642	−	0.852553i	$-0.675053\pi$
$113$	−1.48942	+	0.758898i	−0.140113	+	0.0713911i	0.382529	+	0.923944i	$0.375053\pi$
$114$	6.41326	+	5.77452i	0.600656	+	0.540833i
$115$	4.91186	+	12.5048i	0.458033	+	1.16608i
$116$	4.36003	+	4.84231i	0.404819	+	0.449597i
$117$	−1.99798	+	1.61793i	−0.184713	+	0.149578i
$118$	−9.88420	+	9.88420i	−0.909915	+	0.909915i
$119$	−5.39588	+	2.06572i	−0.494639	+	0.189364i
$120$	−4.07037	−	0.832215i	−0.371572	−	0.0759704i
$121$	−1.40243	−	0.624400i	−0.127493	−	0.0567636i
$122$	−5.83594	+	7.20679i	−0.528361	+	0.652472i
$123$	1.10350	+	1.69925i	0.0994996	+	0.153216i
$124$	−5.14858	−	8.91761i	−0.462356	−	0.800825i
$125$	9.19565	+	6.35924i	0.822484	+	0.568788i
$126$	−0.652365	+	1.00258i	−0.0581173	+	0.0893168i
$127$	−8.38393	−	4.27183i	−0.743954	−	0.379063i	0.0405582	−	0.999177i	$-0.487086\pi$
$127$	−8.38393	−	4.27183i	−0.743954	−	0.379063i	−0.784512	+	0.620114i	$0.787086\pi$
$128$	0.358368	+	0.933580i	0.0316756	+	0.0825176i
$129$	1.59236	+	15.1503i	0.140199	+	1.33391i
$130$	−9.51539	−	8.43488i	−0.834555	−	0.739788i
$131$	19.1632	+	2.01413i	1.67429	+	0.175975i	0.893577	−	0.448910i	$-0.148188\pi$
$131$	19.1632	+	2.01413i	1.67429	+	0.175975i	0.780716	+	0.624886i	$0.214854\pi$
$132$	−4.04188	−	4.04188i	−0.351801	−	0.351801i
$133$	7.21428	+	9.94841i	0.625558	+	0.862637i
$134$	−0.391063	−	0.127064i	−0.0337827	−	0.0109767i
$135$	10.4677	+	1.57472i	0.900913	+	0.135531i
$136$	−0.454036	+	2.13607i	−0.0389333	+	0.183167i
$137$	12.7286	+	0.667076i	1.08747	+	0.0569921i	0.587635	−	0.809126i	$-0.300059\pi$
$137$	12.7286	+	0.667076i	1.08747	+	0.0569921i	0.499839	+	0.866118i	$0.333392\pi$
$138$	6.07995	−	9.36231i	0.517560	−	0.796973i
$139$	3.79302	+	11.6737i	0.321720	+	0.990153i	0.972899	+	0.231229i	$0.0742746\pi$
$139$	3.79302	+	11.6737i	0.321720	+	0.990153i	−0.651179	+	0.758924i	$0.725725\pi$
$140$	−5.42099	−	2.36914i	−0.458158	−	0.200229i
$141$	−2.26994	+	6.98616i	−0.191164	+	0.588341i
$142$	7.75553	+	9.57728i	0.650830	+	0.803708i
$143$	−4.52803	−	16.8989i	−0.378653	−	1.41315i
$144$	0.183885	+	0.413012i	0.0153237	+	0.0344176i
$145$	−8.47236	+	11.8536i	−0.703591	+	0.984390i
$146$	−1.21349	−	1.67023i	−0.100429	−	0.138229i
$147$	−9.21307	+	9.17999i	−0.759881	+	0.757153i
$148$	2.82887	−	5.55197i	0.232532	−	0.456370i
$149$	−7.51593	+	4.33933i	−0.615729	+	0.355491i	−0.775204	−	0.631711i	$-0.782353\pi$
$149$	−7.51593	+	4.33933i	−0.615729	+	0.355491i	0.159475	+	0.987202i	$0.449020\pi$
$150$	−0.144216	−	9.28879i	−0.0117752	−	0.758427i
$151$	−4.05949	+	7.03124i	−0.330356	+	0.572194i	−0.982582	−	0.185831i	$-0.940502\pi$
$151$	−4.05949	+	7.03124i	−0.330356	+	0.572194i	0.652225	+	0.758025i	$0.273836\pi$
$152$	4.63840	−	0.243088i	0.376224	−	0.0197171i
$153$	−0.154446	+	0.975133i	−0.0124862	+	0.0788348i
$154$	−4.42703	−	6.83047i	−0.356741	−	0.550415i
$155$	16.9909	−	15.5392i	1.36474	−	1.24814i
$156$	−1.10442	+	10.5078i	−0.0884240	+	0.841298i
$157$	16.6454	−	4.46013i	1.32845	−	0.355957i	0.476314	−	0.879275i	$-0.341973\pi$
$157$	16.6454	−	4.46013i	1.32845	−	0.355957i	0.852138	+	0.523318i	$0.175306\pi$
$158$	−2.53376	−	0.972619i	−0.201575	−	0.0773774i
$159$	−2.96309	+	0.629824i	−0.234988	+	0.0499483i
$160$	−1.86581	+	1.23237i	−0.147506	+	0.0974274i
$161$	11.2506	−	11.2303i	0.886668	−	0.885075i
$162$	−4.60887	−	9.04541i	−0.362107	−	0.710674i
$163$	−3.61165	−	2.34543i	−0.282886	−	0.183708i	0.395394	−	0.918511i	$-0.370608\pi$
$163$	−3.61165	−	2.34543i	−0.282886	−	0.183708i	−0.678281	+	0.734803i	$0.737275\pi$
$164$	1.06666	+	0.226727i	0.0832925	+	0.0177044i
$165$	6.87791	−	10.7732i	0.535445	−	0.838694i
$166$	−0.851755	−	4.00719i	−0.0661090	−	0.311019i
$167$	−0.255329	−	1.61208i	−0.0197579	−	0.124747i	0.975838	−	0.218496i	$-0.0701149\pi$
$167$	−0.255329	−	1.61208i	−0.0197579	−	0.124747i	−0.995596	+	0.0937489i	$0.970115\pi$
$168$	1.01772	+	4.80925i	0.0785187	+	0.371042i
$169$	−11.3666	+	15.6448i	−0.874353	+	1.20344i
$170$	−4.88297	+	0.0379038i	−0.374506	+	0.00290709i
$171$	2.08838	−	0.219498i	0.159703	−	0.0167854i
$172$	6.37188	+	5.15985i	0.485851	+	0.393435i
$173$	−0.297923	−	5.68471i	−0.0226507	−	0.432201i	−0.986293	−	0.165005i	$-0.947236\pi$
$173$	−0.297923	−	5.68471i	−0.0226507	−	0.432201i	0.963642	−	0.267196i	$-0.0860972\pi$
$174$	12.1066			0.917795
$175$	2.56088	−	12.9785i	0.193584	−	0.981084i
$176$	−3.07650			−0.231900
$177$	1.35925	+	25.9360i	0.102167	+	1.94947i
$178$	2.06316	+	1.67071i	0.154640	+	0.125225i
$179$	−3.59365	+	0.377708i	−0.268602	+	0.0282312i	−0.237872	−	0.971297i	$-0.576450\pi$
$179$	−3.59365	+	0.377708i	−0.268602	+	0.0282312i	−0.0307301	+	0.999528i	$0.509783\pi$
$180$	−0.813215	+	0.600535i	−0.0606135	+	0.0447612i
$181$	0.364133	−	0.501185i	0.0270658	−	0.0372528i	−0.795270	−	0.606256i	$-0.792671\pi$
$181$	0.364133	−	0.501185i	0.0270658	−	0.0372528i	0.822335	+	0.569003i	$0.192671\pi$
$182$	−4.66217	+	14.3049i	−0.345583	+	1.06035i
$183$	2.69534	+	17.0177i	0.199245	+	1.25798i
$184$	−1.24919	−	5.87698i	−0.0920916	−	0.433257i
$185$	13.4860	+	3.50161i	0.991514	+	0.257443i
$186$	−18.7139	−	3.97776i	−1.37217	−	0.291663i
$187$	−5.63456	−	3.65913i	−0.412040	−	0.267582i
$188$	1.79489	+	3.52267i	0.130906	+	0.256917i
$189$	−3.23080	−	12.1010i	−0.235006	−	0.880219i
$190$	2.76589	+	10.0109i	0.200659	+	0.726270i
$191$	−7.81555	+	1.66125i	−0.565513	+	0.120204i	−0.481792	−	0.876286i	$-0.660014\pi$
$191$	−7.81555	+	1.66125i	−0.565513	+	0.120204i	−0.0837213	+	0.996489i	$0.526681\pi$
$192$	1.73458	+	0.665841i	0.125182	+	0.0480530i
$193$	−6.57942	+	1.76295i	−0.473597	+	0.126900i	−0.487720	−	0.873000i	$-0.662171\pi$
$193$	−6.57942	+	1.76295i	−0.473597	+	0.126900i	0.0141224	+	0.999900i	$0.495505\pi$
$194$	−1.69354	+	16.1130i	−0.121589	+	1.15684i
$195$	−23.4763	+	2.65186i	−1.68117	+	0.189903i
$196$	−0.0125896	+	6.99999i	−0.000899260	+	0.499999i
$197$	1.47413	−	9.30728i	0.105027	−	0.663116i	−0.877861	−	0.478915i	$-0.841030\pi$
$197$	1.47413	−	9.30728i	0.105027	−	0.663116i	0.982889	−	0.184201i	$-0.0589698\pi$
$198$	−1.38897	+	0.0727929i	−0.0987099	+	0.00517317i
$199$	2.07817	−	3.59949i	0.147317	−	0.255161i	−0.782918	−	0.622125i	$-0.786270\pi$
$199$	2.07817	−	3.59949i	0.147317	−	0.255161i	0.930235	+	0.366964i	$0.119603\pi$
$200$	−3.58999	−	3.48022i	−0.253851	−	0.246089i
$201$	−0.661626	+	0.381990i	−0.0466675	+	0.0269435i
$202$	4.91469	−	9.64562i	0.345796	−	0.678664i
$203$	16.8597	+	3.59948i	1.18332	+	0.252634i
$204$	2.38491	+	3.28255i	0.166977	+	0.229824i
$205$	0.0189275	+	2.43835i	0.00132196	+	0.170302i
$206$	2.88227	+	6.47369i	0.200818	+	0.451044i
$207$	−0.703037	−	2.62377i	−0.0488645	−	0.182365i
$208$	3.57872	+	4.41936i	0.248140	+	0.306427i
$209$	−4.41573	+	13.5902i	−0.305443	+	0.940056i
$210$	−10.0107	+	4.53965i	−0.690807	+	0.313265i
$211$	3.44456	+	10.6013i	0.237133	+	0.729821i	0.996831	+	0.0795449i	$0.0253467\pi$
$211$	3.44456	+	10.6013i	0.237133	+	0.729821i	−0.759698	+	0.650276i	$0.774653\pi$
$212$	−0.887990	+	1.36738i	−0.0609874	+	0.0939123i
$213$	22.8658	+	1.19834i	1.56674	+	0.0821091i
$214$	0.272002	−	1.27967i	0.0185937	−	0.0874763i
$215$	−8.19628	+	16.3996i	−0.558981	+	1.11844i
$216$	−4.50226	−	1.46287i	−0.306340	−	0.0995359i
$217$	−24.8784	−	11.1034i	−1.68886	−	0.753748i
$218$	−10.9864	−	10.9864i	−0.744093	−	0.744093i
$219$	−3.81482	−	0.400953i	−0.257781	−	0.0270939i
$220$	−1.48247	−	6.71763i	−0.0999480	−	0.452903i
$221$	1.29808	+	12.3504i	0.0873186	+	0.830781i
$222$	−4.14894	−	10.8084i	−0.278459	−	0.725410i
$223$	1.97144	+	1.00450i	0.132018	+	0.0672663i	0.518752	−	0.854925i	$-0.326397\pi$
$223$	1.97144	+	1.00450i	0.132018	+	0.0672663i	−0.386734	+	0.922191i	$0.626397\pi$
$224$	2.21762	+	1.44297i	0.148171	+	0.0964128i
$225$	−1.70315	−	1.48630i	−0.113543	−	0.0990867i
$226$	0.835808	+	1.44766i	0.0555971	+	0.0962971i
$227$	−3.76942	−	5.80440i	−0.250185	−	0.385251i	0.691157	−	0.722704i	$-0.257101\pi$
$227$	−3.76942	−	5.80440i	−0.250185	−	0.385251i	−0.941342	+	0.337453i	$0.890435\pi$
$228$	5.43096	−	6.70668i	0.359674	−	0.444161i
$229$	−8.43527	−	3.75562i	−0.557418	−	0.248179i	0.108636	−	0.994082i	$-0.465352\pi$
$229$	−8.43527	−	3.75562i	−0.557418	−	0.248179i	−0.666055	+	0.745903i	$0.732018\pi$
$230$	12.2306	−	5.55958i	0.806463	−	0.366588i
$231$	−14.9350	−	2.37924i	−0.982651	−	0.156543i
$232$	4.60749	−	4.60749i	0.302496	−	0.302496i
$233$	−13.5911	+	11.0058i	−0.890382	+	0.721017i	−0.961018	−	0.276485i	$-0.910830\pi$
$233$	−13.5911	+	11.0058i	−0.890382	+	0.721017i	0.0706366	+	0.997502i	$0.477497\pi$
$234$	1.72028	+	1.91057i	0.112458	+	0.124898i
$235$	−6.82695	+	5.61666i	−0.445341	+	0.366390i
$236$	10.3880	+	9.35336i	0.676198	+	0.608852i
$237$	−4.49299	+	2.28929i	−0.291851	+	0.148706i
$238$	2.34529	+	5.28037i	0.152022	+	0.342276i
$239$	25.6175	−	8.32363i	1.65706	−	0.538411i	0.676805	−	0.736162i	$-0.263364\pi$
$239$	25.6175	−	8.32363i	1.65706	−	0.538411i	0.980252	+	0.197752i	$0.0633639\pi$
$240$	−0.618047	+	4.10835i	−0.0398948	+	0.265193i
$241$	2.88616	−	2.59871i	0.185914	−	0.167397i	−0.570918	−	0.821007i	$-0.693413\pi$
$241$	2.88616	−	2.59871i	0.185914	−	0.167397i	0.756832	+	0.653609i	$0.226746\pi$
$242$	−0.550147	+	1.43318i	−0.0353648	+	0.0921284i
$243$	−4.50139	−	1.20614i	−0.288764	−	0.0773741i
$244$	7.50234	+	5.45077i	0.480288	+	0.348950i
$245$	−15.2908	+	3.34558i	−0.976890	+	0.213741i
$246$	1.63917	−	1.19092i	0.104509	−	0.0759305i
$247$	24.6588	−	9.46562i	1.56900	−	0.602283i
$248$	−8.63593	+	5.60824i	−0.548382	+	0.356123i
$249$	−6.59186	−	3.80581i	−0.417742	−	0.241184i
$250$	5.86927	−	9.51587i	0.371205	−	0.601836i
$251$		−	26.0919i		−	1.64690i	−0.567386	−	0.823452i	$-0.692045\pi$
$251$		−	26.0919i		−	1.64690i	0.567386	−	0.823452i	$-0.307955\pi$
$252$	1.03535	+	0.599000i	0.0652207	+	0.0377335i
$253$	18.2569	+	2.89161i	1.14780	+	0.181794i
$254$	−3.82719	+	8.59601i	−0.240139	+	0.539362i
$255$	−6.01833	+	6.78928i	−0.376882	+	0.425161i
$256$	0.913545	−	0.406737i	0.0570966	−	0.0254210i
$257$	−2.49671	+	9.31784i	−0.155740	+	0.581231i	0.843300	+	0.537442i	$0.180609\pi$
$257$	−2.49671	+	9.31784i	−0.155740	+	0.581231i	−0.999041	+	0.0437885i	$0.986057\pi$
$258$	15.0462	−	2.38308i	0.936735	−	0.148364i
$259$	−2.56434	−	16.2854i	−0.159340	−	1.01192i
$260$	−7.92532	+	9.94380i	−0.491508	+	0.616688i
$261$	1.97116	−	2.18920i	0.122012	−	0.135508i
$262$	1.00845	−	19.2423i	0.0623020	−	1.18879i
$263$	0.871329	−	16.6259i	0.0537285	−	1.02520i	−0.830167	−	0.557515i	$-0.811755\pi$
$263$	0.871329	−	16.6259i	0.0537285	−	1.02520i	0.883895	−	0.467685i	$-0.154912\pi$
$264$	−3.82481	+	4.24788i	−0.235401	+	0.261439i
$265$	−3.41362	−	1.28005i	−0.209697	−	0.0786330i
$266$	9.55721	−	7.72506i	0.585990	−	0.473654i
$267$	4.87182	−	0.771621i	0.298151	−	0.0472224i
$268$	−0.106423	+	0.397177i	−0.00650084	+	0.0242615i
$269$	−20.4464	+	9.10332i	−1.24664	+	0.555039i	−0.920670	−	0.390341i	$-0.872357\pi$
$269$	−20.4464	+	9.10332i	−1.24664	+	0.555039i	−0.325969	+	0.945381i	$0.605690\pi$
$270$	1.02473	−	10.5357i	0.0623632	−	0.641184i
$271$	3.04794	−	6.84578i	0.185149	−	0.415851i	−0.796994	−	0.603987i	$-0.793578\pi$
$271$	3.04794	−	6.84578i	0.185149	−	0.415851i	0.982143	+	0.188136i	$0.0602445\pi$
$272$	2.15691	+	0.341621i	0.130782	+	0.0207138i
$273$	13.9553	+	24.2216i	0.844615	+	1.46596i
$274$		−	12.7460i		−	0.770016i
$275$	13.9538	−	6.47403i	0.841445	−	0.390398i
$276$	−9.66768	−	5.58164i	−0.581926	−	0.335975i
$277$	−14.7374	+	9.57061i	−0.885487	+	0.575042i	−0.905305	−	0.424762i	$-0.860358\pi$
$277$	−14.7374	+	9.57061i	−0.885487	+	0.575042i	0.0198182	+	0.999804i	$0.493691\pi$
$278$	11.4592	−	4.39878i	0.687278	−	0.263821i
$279$	−3.76623	+	2.73633i	−0.225479	+	0.163820i
$280$	−2.08218	+	5.53756i	−0.124434	+	0.330932i
$281$	−5.03047	−	3.65485i	−0.300092	−	0.218030i	0.427541	−	0.903996i	$-0.359380\pi$
$281$	−5.03047	−	3.65485i	−0.300092	−	0.218030i	−0.727634	+	0.685966i	$0.759380\pi$
$282$	7.09539	+	1.90120i	0.422524	+	0.113215i
$283$	−2.98022	+	7.76375i	−0.177156	+	0.461507i	−0.993191	−	0.116495i	$-0.962834\pi$
$283$	−2.98022	+	7.76375i	−0.177156	+	0.461507i	0.816035	+	0.578002i	$0.196167\pi$
$284$	9.15826	−	8.24614i	0.543443	−	0.489318i
$285$	17.2612	+	8.62694i	1.02247	+	0.511016i
$286$	−16.6387	+	5.40625i	−0.983868	+	0.319678i
$287$	2.63680	−	1.17114i	0.155645	−	0.0691300i
$288$	0.402822	−	0.205248i	0.0237365	−	0.0120944i
$289$	−9.08944	−	8.18416i	−0.534673	−	0.481421i
$290$	12.2808	+	7.84038i	0.721152	+	0.460403i
$291$	20.1425	+	22.3705i	1.18077	+	1.31138i
$292$	−1.60443	+	1.29924i	−0.0938921	+	0.0760323i
$293$	−7.02245	+	7.02245i	−0.410256	+	0.410256i	−0.881828	−	0.471572i	$-0.843687\pi$
$293$	−7.02245	+	7.02245i	−0.410256	+	0.410256i	0.471572	+	0.881828i	$0.343687\pi$
$294$	9.64958	+	8.72000i	0.562775	+	0.508561i
$295$	−15.4177	+	27.1895i	−0.897654	+	1.58303i
$296$	−5.69242	−	2.53443i	−0.330865	−	0.147311i
$297$	9.16544	−	11.3184i	0.531833	−	0.656758i
$298$	4.72673	+	7.27853i	0.273812	+	0.421634i
$299$	−17.0835	−	29.5895i	−0.987963	−	1.71120i
$300$	−9.26851	+	0.630156i	−0.535118	+	0.0363821i
$301$	21.6620	+	1.15479i	1.24858	+	0.0665610i
$302$	7.23406	+	3.68594i	0.416273	+	0.212102i
$303$	−7.20809	−	18.7777i	−0.414094	−	1.07875i
$304$	−0.485510	−	4.61932i	−0.0278459	−	0.264936i
$305$	−8.28678	+	19.0081i	−0.474500	+	1.08840i
$306$	0.981879	+	0.103200i	0.0561303	+	0.00589953i
$307$	−3.17449	−	3.17449i	−0.181178	−	0.181178i	0.610691	−	0.791869i	$-0.290892\pi$
$307$	−3.17449	−	3.17449i	−0.181178	−	0.181178i	−0.791869	+	0.610691i	$0.790892\pi$
$308$	−6.58942	+	4.77845i	−0.375467	+	0.272277i
$309$	12.5219	+	4.06861i	0.712345	+	0.231455i
$310$	−16.4071	−	16.1544i	−0.931863	−	0.917507i
$311$	4.70036	−	22.1135i	0.266533	−	1.25394i	−0.617521	−	0.786554i	$-0.711863\pi$
$311$	4.70036	−	22.1135i	0.266533	−	1.25394i	0.884054	−	0.467385i	$-0.154804\pi$
$312$	10.5512	+	0.552966i	0.597345	+	0.0313055i
$313$	11.5234	−	17.7444i	0.651340	−	1.00297i	−0.346549	−	0.938032i	$-0.612647\pi$
$313$	11.5234	−	17.7444i	0.651340	−	1.00297i	0.997889	−	0.0649432i	$-0.0206866\pi$
$314$	−5.32518	−	16.3892i	−0.300517	−	0.924897i
$315$	−0.809034	+	2.54935i	−0.0455839	+	0.143640i
$316$	−0.838679	+	2.58119i	−0.0471794	+	0.145203i
$317$	−7.45994	−	9.21226i	−0.418992	−	0.517412i	0.523325	−	0.852133i	$-0.324691\pi$
$317$	−7.45994	−	9.21226i	−0.418992	−	0.517412i	−0.942317	+	0.334721i	$0.891358\pi$
$318$	0.784038	+	2.92607i	0.0439666	+	0.164086i
$319$	8.15360	+	18.3133i	0.456514	+	1.02535i
$320$	1.32833	+	1.79876i	0.0742559	+	0.100554i
$321$	−1.42874	−	1.96649i	−0.0797445	−	0.109759i
$322$	−11.8038	−	10.6474i	−0.657798	−	0.593356i
$323$	4.60492	−	9.03766i	0.256225	−	0.502869i
$324$	−8.79180	+	5.07595i	−0.488434	+	0.281997i
$325$	−25.5315	−	12.5136i	−1.41624	−	0.694129i
$326$	−2.15320	+	3.72945i	−0.119255	+	0.206555i
$327$	−28.8281	+	1.51082i	−1.59420	+	0.0835484i
$328$	0.170591	−	1.07707i	0.00941931	−	0.0594712i
$329$	9.31583	+	4.75721i	0.513598	+	0.262274i
$330$	−11.1184	−	6.30466i	−0.612049	−	0.347060i
$331$	3.71783	−	35.3728i	0.204350	−	1.94426i	−0.107669	−	0.994187i	$-0.534339\pi$
$331$	3.71783	−	35.3728i	0.204350	−	1.94426i	0.312019	−	0.950076i	$-0.398995\pi$
$332$	−3.95713	+	1.06031i	−0.217175	+	0.0581920i
$333$	−2.62997	−	1.00955i	−0.144121	−	0.0553230i
$334$	−1.59651	+	0.339349i	−0.0873572	+	0.0185683i
$335$	−0.918531	−	0.0409914i	−0.0501847	−	0.00223960i
$336$	4.74940	−	1.26802i	0.259101	−	0.0691762i
$337$	−10.5938	−	20.7915i	−0.577080	−	1.13258i	−0.976440	−	0.215789i	$-0.930768\pi$
$337$	−10.5938	−	20.7915i	−0.577080	−	1.13258i	0.399360	−	0.916794i	$-0.369232\pi$
$338$	16.2182	+	10.5322i	0.882154	+	0.572877i
$339$	3.03796	+	0.645739i	0.165000	+	0.0350717i
$340$	0.293406	+	4.87429i	0.0159122	+	0.264345i
$341$	−6.58648	−	30.9870i	−0.356678	−	1.67804i
$342$	−0.328494	−	2.07403i	−0.0177629	−	0.112151i
$343$	10.8455	+	15.0125i	0.585601	+	0.810600i
$344$	4.81930	−	6.63320i	0.259839	−	0.357638i
$345$	7.52912	−	23.7993i	0.405354	−	1.28131i
$346$	−5.66133	+	0.595030i	−0.304355	+	0.0319890i
$347$	−9.94056	−	8.04970i	−0.533637	−	0.432131i	0.324248	−	0.945972i	$-0.394889\pi$
$347$	−9.94056	−	8.04970i	−0.533637	−	0.432131i	−0.857885	+	0.513841i	$0.828222\pi$
$348$	−0.633608	−	12.0900i	−0.0339650	−	0.648090i
$349$	−2.92425			−0.156532			−0.0782659	−	0.996933i	$-0.524938\pi$
$349$	−2.92425			−0.156532			−0.0782659	+	0.996933i	$0.524938\pi$
$350$	−13.0948	−	1.87813i	−0.699944	−	0.100390i
$351$	−26.9204			−1.43690
$352$	0.161012	+	3.07228i	0.00858195	+	0.163753i
$353$	−16.6423	−	13.4767i	−0.885783	−	0.717293i	0.0742324	−	0.997241i	$-0.476349\pi$
$353$	−16.6423	−	13.4767i	−0.885783	−	0.717293i	−0.960015	+	0.279948i	$0.909683\pi$
$354$	25.8293	−	2.71477i	1.37281	−	0.144288i
$355$	22.4188	+	16.0238i	1.18986	+	0.850455i
$356$	1.56045	−	2.14777i	0.0827035	−	0.113832i
$357$	10.2066	+	3.32648i	0.540191	+	0.176056i
$358$	0.565267	+	3.56896i	0.0298753	+	0.188625i
$359$	4.58858	+	21.5876i	0.242176	+	1.13935i	0.916226	+	0.400663i	$0.131220\pi$
$359$	4.58858	+	21.5876i	0.242176	+	1.13935i	−0.674050	+	0.738686i	$0.735447\pi$
$360$	0.642272	+	0.780671i	0.0338507	+	0.0411450i
$361$	−2.51758	−	0.535128i	−0.132504	−	0.0281647i
$362$	−0.519556	−	0.337404i	−0.0273073	−	0.0177335i
$363$	1.29490	+	2.54139i	0.0679649	+	0.133389i
$364$	14.5293	+	3.90712i	0.761542	+	0.204789i
$365$	−3.61005	−	2.87725i	−0.188959	−	0.150602i
$366$	16.8533	−	3.58228i	0.880936	−	0.187249i
$367$	11.4867	+	4.40931i	0.599598	+	0.230164i	0.639186	−	0.769052i	$-0.279271\pi$
$367$	11.4867	+	4.40931i	0.599598	+	0.230164i	−0.0395880	+	0.999216i	$0.512605\pi$
$368$	−5.80355	+	1.55506i	−0.302531	+	0.0810629i
$369$	0.0515336	−	0.490309i	0.00268273	−	0.0255245i
$370$	2.79100	−	13.6508i	0.145097	−	0.709673i
$371$	0.221887	+	4.30797i	0.0115198	+	0.223659i
$372$	−2.99290	+	18.8964i	−0.155174	+	0.979733i
$373$	−2.22778	+	0.116753i	−0.115350	+	0.00604524i	−0.109924	−	0.993940i	$-0.535061\pi$
$373$	−2.22778	+	0.116753i	−0.115350	+	0.00604524i	−0.00542644	+	0.999985i	$0.501727\pi$
$374$	−3.35922	+	5.81834i	−0.173701	+	0.300859i
$375$	−5.84217	−	19.9344i	−0.301688	−	1.02941i
$376$	3.42390	−	1.97679i	0.176574	−	0.101945i
$377$	16.8222	−	33.0154i	0.866386	−	1.70038i
$378$	−11.9153	+	3.85969i	−0.612859	+	0.198521i
$379$	15.0437	+	20.7059i	0.772745	+	1.06359i	0.996046	+	0.0888432i	$0.0283170\pi$
$379$	15.0437	+	20.7059i	0.772745	+	1.06359i	−0.223300	+	0.974750i	$0.571683\pi$
$380$	9.85247	−	3.28603i	0.505421	−	0.168570i
$381$	7.11085	+	15.9712i	0.364300	+	0.818231i
$382$	2.06800	+	7.71789i	0.105808	+	0.394882i
$383$	16.4430	+	20.3054i	0.840196	+	1.03756i	0.998739	+	0.0502037i	$0.0159871\pi$
$383$	16.4430	+	20.3054i	0.840196	+	1.03756i	−0.158543	+	0.987352i	$0.550680\pi$
$384$	0.574148	−	1.76705i	0.0292994	−	0.0901742i
$385$	−13.6091	−	12.0856i	−0.693584	−	0.615940i
$386$	2.10488	+	6.47814i	0.107135	+	0.329729i
$387$	2.01886	−	3.10877i	0.102624	−	0.158028i
$388$	16.1795	+	0.847932i	0.821390	+	0.0430472i
$389$	0.335642	−	1.57907i	0.0170177	−	0.0800620i	−0.968819	−	0.247769i	$-0.920303\pi$
$389$	0.335642	−	1.57907i	0.0170177	−	0.0800620i	0.985837	+	0.167706i	$0.0536361\pi$
$390$	3.87688	+	23.3053i	0.196313	+	1.18011i
$391$	−12.4787	−	4.05456i	−0.631073	−	0.205048i
$392$	6.99105	−	0.353779i	0.353102	−	0.0178685i
$393$	−25.3151	−	25.3151i	−1.27698	−	1.27698i
$394$	−9.37168	−	0.985003i	−0.472138	−	0.0496237i
$395$	−6.04024	−	0.587488i	−0.303917	−	0.0295597i
$396$	0.145386	+	1.38326i	0.00730594	+	0.0695114i
$397$	11.2489	+	29.3044i	0.564566	+	1.47074i	0.857435	+	0.514592i	$0.172057\pi$
$397$	11.2489	+	29.3044i	0.564566	+	1.47074i	−0.292869	+	0.956152i	$0.594610\pi$
$398$	−3.70332	−	1.88693i	−0.185631	−	0.0945835i
$399$	1.21547	−	22.8002i	0.0608494	−	1.14144i
$400$	−3.28757	+	3.76721i	−0.164378	+	0.188361i
$401$	2.44736	+	4.23895i	0.122215	+	0.211683i	0.920641	−	0.390410i	$-0.127667\pi$
$401$	2.44736	+	4.23895i	0.122215	+	0.211683i	−0.798426	+	0.602093i	$0.794334\pi$
$402$	0.416093	+	0.640728i	0.0207529	+	0.0319566i
$403$	−36.8507	+	45.5068i	−1.83567	+	2.26686i
$404$	−9.88962	−	4.40314i	−0.492027	−	0.219065i
$405$	−15.3200	−	16.7512i	−0.761256	−	0.832375i
$406$	2.71218	−	17.0250i	0.134603	−	0.844934i
$407$	13.5553	−	13.5553i	0.671910	−	0.671910i
$408$	3.15323	−	2.55344i	0.156108	−	0.126414i
$409$	2.92418	+	3.24764i	0.144592	+	0.160585i	0.811090	−	0.584921i	$-0.198874\pi$
$409$	2.92418	+	3.24764i	0.144592	+	0.160585i	−0.666499	+	0.745506i	$0.732208\pi$
$410$	2.43401	−	0.146515i	0.120207	−	0.00723585i
$411$	−17.5991	−	15.8463i	−0.868098	−	0.781639i
$412$	6.31398	−	3.21713i	0.311067	−	0.158497i
$413$	36.7772	+	3.89888i	1.80969	+	0.191851i
$414$	−2.58338	+	0.839391i	−0.126966	+	0.0412538i
$415$	−4.22203	−	8.12957i	−0.207251	−	0.399065i
$416$	4.22600	−	3.80511i	0.207197	−	0.186561i
$417$	8.17286	−	21.2910i	0.400227	−	1.04263i
$418$	13.8027	+	3.69842i	0.675113	+	0.180896i
$419$	5.72993	+	4.16304i	0.279925	+	0.203378i	0.718885	−	0.695129i	$-0.244653\pi$
$419$	5.72993	+	4.16304i	0.279925	+	0.203378i	−0.438959	+	0.898507i	$0.644653\pi$
$420$	5.05735	+	9.75944i	0.246773	+	0.476212i
$421$	25.6377	−	18.6269i	1.24950	−	0.907818i	0.251312	−	0.967906i	$-0.419138\pi$
$421$	25.6377	−	18.6269i	1.24950	−	0.907818i	0.998193	+	0.0600879i	$0.0191381\pi$
$422$	10.4065	−	3.99466i	0.506578	−	0.194457i
$423$	1.49904	−	0.973491i	0.0728860	−	0.0473327i
$424$	1.41198	+	0.815209i	0.0685720	+	0.0395901i
$425$	−10.5018	+	2.98943i	−0.509411	+	0.145009i
$426$		−	22.8971i		−	1.10937i
$427$	24.5351	+	0.0220635i	1.18734	+	0.00106773i
$428$	−1.29215	−	0.204656i	−0.0624584	−	0.00989244i
$429$	−13.2211	+	29.6951i	−0.638322	+	1.43369i
$430$	16.8060	+	7.32676i	0.810460	+	0.353328i
$431$	−16.6459	+	7.41124i	−0.801806	+	0.356987i	−0.766382	−	0.642385i	$-0.777945\pi$
$431$	−16.6459	+	7.41124i	−0.801806	+	0.356987i	−0.0354241	+	0.999372i	$0.511278\pi$
$432$	−1.22524	+	4.57265i	−0.0589493	+	0.220002i
$433$	−12.7631	+	2.02148i	−0.613355	+	0.0971459i	−0.455380	−	0.890297i	$-0.650497\pi$
$433$	−12.7631	+	2.02148i	−0.613355	+	0.0971459i	−0.157975	+	0.987443i	$0.550497\pi$
$434$	−9.78615	+	25.4254i	−0.469750	+	1.22046i
$435$	26.0935	−	7.20927i	1.25109	−	0.345658i
$436$	−10.3964	+	11.5463i	−0.497895	+	0.552969i
$437$	−1.46054	+	27.8688i	−0.0698671	+	1.33314i
$438$	−0.200752	+	3.83057i	−0.00959229	+	0.183032i
$439$	6.26177	−	6.95440i	0.298858	−	0.331916i	−0.574948	−	0.818190i	$-0.694978\pi$
$439$	6.26177	−	6.95440i	0.298858	−	0.331916i	0.873806	+	0.486274i	$0.161644\pi$
$440$	−6.63084	+	1.83201i	−0.316113	+	0.0873376i
$441$	3.14794	−	0.325138i	0.149902	−	0.0154828i
$442$	12.2656	−	1.94268i	0.583414	−	0.0924037i
$443$	−1.60631	+	5.99484i	−0.0763182	+	0.284823i	−0.993529	−	0.113579i	$-0.963769\pi$
$443$	−1.60631	+	5.99484i	−0.0763182	+	0.284823i	0.917211	+	0.398402i	$0.130435\pi$
$444$	−10.5764	+	4.70892i	−0.501934	+	0.223476i
$445$	5.44165	+	2.37234i	0.257959	+	0.112460i
$446$	0.899946	−	2.02131i	0.0426137	−	0.0957119i
$447$	15.9263	+	2.52247i	0.753286	+	0.119309i
$448$	1.32494	−	2.29010i	0.0625973	−	0.108197i
$449$			28.5155i			1.34573i	0.739766	+	0.672865i	$0.234936\pi$
$449$			28.5155i			1.34573i	−0.739766	+	0.672865i	$0.765064\pi$
$450$	−1.39513	+	1.77860i	−0.0657670	+	0.0838440i
$451$	2.90544	+	1.67745i	0.136812	+	0.0789882i
$452$	1.40194	−	0.910428i	0.0659415	−	0.0428229i
$453$	14.0830	−	5.40595i	0.661676	−	0.253994i
$454$	−5.59917	+	4.06803i	−0.262782	+	0.190922i
$455$	−1.53011	+	33.6079i	−0.0717326	+	1.57556i
$456$	−6.98173	−	5.07252i	−0.326949	−	0.237543i
$457$	−20.0190	−	5.36406i	−0.936447	−	0.250920i	−0.241846	−	0.970315i	$-0.577753\pi$
$457$	−20.0190	−	5.36406i	−0.936447	−	0.250920i	−0.694602	+	0.719394i	$0.744419\pi$
$458$	−3.30901	+	8.62026i	−0.154620	+	0.402798i
$459$	−7.68262	+	6.91746i	−0.358594	+	0.322880i
$460$	−6.19206	−	11.9229i	−0.288706	−	0.555908i
$461$	21.5734	−	7.00962i	1.00477	−	0.326471i	0.240002	−	0.970772i	$-0.422852\pi$
$461$	21.5734	−	7.00962i	1.00477	−	0.326471i	0.764771	+	0.644302i	$0.222852\pi$
$462$	−1.59434	+	15.0391i	−0.0741756	+	0.699680i
$463$	18.2695	−	9.30880i	0.849058	−	0.432617i	0.0253822	−	0.999678i	$-0.491920\pi$
$463$	18.2695	−	9.30880i	0.849058	−	0.432617i	0.823676	+	0.567061i	$0.191920\pi$
$464$	−4.84231	−	4.36003i	−0.224799	−	0.202409i
$465$	−42.7030	+	2.57050i	−1.98031	+	0.119204i
$466$	11.7021	+	12.9965i	0.542088	+	0.602049i
$467$	2.95381	−	2.39195i	0.136686	−	0.110686i	−0.558539	−	0.829478i	$-0.688638\pi$
$467$	2.95381	−	2.39195i	0.136686	−	0.110686i	0.695225	+	0.718792i	$0.255305\pi$
$468$	1.81791	−	1.81791i	0.0840331	−	0.0840331i
$469$	0.388956	+	1.01599i	0.0179603	+	0.0469142i
$470$	5.96626	+	6.52364i	0.275203	+	0.300913i
$471$	−29.2498	−	13.0229i	−1.34776	−	0.600062i
$472$	8.79688	−	10.8632i	0.404909	−	0.500021i
$473$	13.7382	+	21.1550i	0.631685	+	0.972709i
$474$	2.52130	+	4.36702i	0.115807	+	0.200584i
$475$	11.9227	+	19.9297i	0.547053	+	0.914439i
$476$	5.15039	−	2.61843i	0.236068	−	0.120015i
$477$	0.656768	+	0.334640i	0.0300713	+	0.0153221i
$478$	−9.65293	−	25.1468i	−0.441515	−	1.15019i
$479$	0.191934	+	1.82613i	0.00876970	+	0.0834382i	0.998031	−	0.0627174i	$-0.0199767\pi$
$479$	0.191934	+	1.82613i	0.00876970	+	0.0834382i	−0.989262	+	0.146156i	$0.953310\pi$
$480$	4.13506	+	0.402186i	0.188739	+	0.0183572i
$481$	−35.2401	−	3.70389i	−1.60681	−	0.168883i
$482$	−2.74620	−	2.74620i	−0.125086	−	0.125086i
$483$	−29.3762	+	3.06086i	−1.33666	+	0.139274i
$484$	1.46001	+	0.474386i	0.0663641	+	0.0215630i
$485$	5.94490	+	35.7370i	0.269944	+	1.62273i
$486$	−0.968905	+	4.55834i	−0.0439504	+	0.206771i
$487$	4.02691	+	0.211042i	0.182477	+	0.00956321i	0.143356	−	0.989671i	$-0.454211\pi$
$487$	4.02691	+	0.211042i	0.182477	+	0.00956321i	0.0391214	+	0.999234i	$0.487544\pi$
$488$	5.05066	−	7.77733i	0.228633	−	0.352063i
$489$	2.47251	+	7.60960i	0.111811	+	0.344118i
$490$	4.14125	+	15.0947i	0.187083	+	0.681909i
$491$	−7.44881	+	22.9251i	−0.336160	+	1.03459i	0.629988	+	0.776605i	$0.283060\pi$
$491$	−7.44881	+	22.9251i	−0.336160	+	1.03459i	−0.966148	+	0.257989i	$0.916940\pi$
$492$	−1.27508	−	1.57459i	−0.0574850	−	0.0709880i
$493$	−3.68287	−	13.7447i	−0.165868	−	0.619029i
$494$	−10.7432	−	24.1296i	−0.483359	−	1.08564i
$495$	−2.95033	+	0.984004i	−0.132607	+	0.0442277i
$496$	6.05252	+	8.33058i	0.271766	+	0.374054i
$497$	6.80771	−	31.8867i	0.305367	−	1.43031i
$498$	−3.45561	+	6.78201i	−0.154849	+	0.303909i
$499$	8.37163	−	4.83336i	0.374766	−	0.216371i	−0.300773	−	0.953696i	$-0.597245\pi$
$499$	8.37163	−	4.83336i	0.374766	−	0.216371i	0.675538	+	0.737325i	$0.263911\pi$
$500$	−9.81000	−	5.36320i	−0.438716	−	0.239850i
$501$	−1.51628	+	2.62627i	−0.0677423	+	0.117333i
$502$	−26.0561	+	1.36554i	−1.16294	+	0.0609471i
$503$	−1.17933	+	7.44597i	−0.0525835	+	0.331999i	0.947347	+	0.320209i	$0.103753\pi$
$503$	−1.17933	+	7.44597i	−0.0525835	+	0.331999i	−0.999930	+	0.0117904i	$0.996247\pi$
$504$	0.543993	−	1.06528i	0.0242314	−	0.0474512i
$505$	4.84890	−	23.7160i	0.215773	−	1.05535i
$506$	1.93215	−	18.3832i	0.0858947	−	0.817233i
$507$	34.7054	−	9.29927i	1.54132	−	0.412995i
$508$	8.78453	+	3.37207i	0.389751	+	0.149611i
$509$	−27.8549	+	5.92074i	−1.23465	+	0.262432i	−0.778598	−	0.627523i	$-0.784069\pi$
$509$	−27.8549	+	5.92074i	−1.23465	+	0.262432i	−0.456048	+	0.889955i	$0.650736\pi$
$510$	7.09495	+	5.65476i	0.314170	+	0.250397i
$511$	−1.41846	+	5.27480i	−0.0627491	+	0.233343i
$512$	−0.453990	−	0.891007i	−0.0200637	−	0.0393773i
$513$	18.4408	+	11.9756i	0.814180	+	0.528735i
$514$	9.43574	+	2.00563i	0.416193	+	0.0884644i
$515$	10.0672	+	12.2365i	0.443614	+	0.539206i
$516$	−3.16727	−	14.9009i	−0.139431	−	0.655973i
$517$	1.90274	+	12.0135i	0.0836826	+	0.528351i
$518$	−16.1288	+	3.41313i	−0.708660	+	0.149964i
$519$	−6.21676	+	8.55664i	−0.272886	+	0.375595i
$520$	10.3450	+	7.39404i	0.453656	+	0.324250i
$521$	−40.8669	+	4.29528i	−1.79041	+	0.188180i	−0.940739	−	0.339131i	$-0.889867\pi$
$521$	−40.8669	+	4.29528i	−1.79041	+	0.188180i	−0.849672	+	0.527311i	$0.823200\pi$
$522$	−2.28936	−	1.85389i	−0.100202	−	0.0811424i
$523$	0.561637	+	10.7167i	0.0245587	+	0.468607i	0.983033	+	0.183429i	$0.0587196\pi$
$523$	0.561637	+	10.7167i	0.0245587	+	0.468607i	−0.958474	+	0.285179i	$0.907947\pi$
$524$	−19.2687			−0.841758
$525$	−18.8731	+	15.7456i	−0.823687	+	0.687196i
$526$	−16.6488			−0.725921
$527$	1.17687	+	22.4561i	0.0512654	+	0.978202i
$528$	4.44223	+	3.59725i	0.193323	+	0.156550i
$529$	13.0276	−	1.36926i	0.566419	−	0.0595330i
$530$	−1.09964	+	3.47593i	−0.0477655	+	0.150985i
$531$	3.71456	−	5.11265i	0.161198	−	0.221870i
$532$	−8.21466	−	9.13981i	−0.356150	−	0.396261i
$533$	−0.970091	−	6.12491i	−0.0420193	−	0.265299i
$534$	−1.02553	−	4.82476i	−0.0443792	−	0.208788i
$535$	−0.175773	−	2.92007i	−0.00759931	−	0.126245i
$536$	0.402203	+	0.0854908i	0.0173725	+	0.00369264i
$537$	5.63060	+	3.65655i	0.242978	+	0.157792i
$538$	10.1609	+	19.9419i	0.438069	+	0.859758i
$539$	−6.69166	+	20.4695i	−0.288230	+	0.881683i
$540$	−10.5749	−	0.471929i	−0.455072	−	0.0203086i
$541$	−21.2003	+	4.50627i	−0.911473	+	0.193740i	−0.639702	−	0.768623i	$-0.720942\pi$
$541$	−21.2003	+	4.50627i	−0.911473	+	0.193740i	−0.271770	+	0.962362i	$0.587609\pi$
$542$	−6.99591	−	2.68548i	−0.300500	−	0.115351i
$543$	−1.11180	+	0.297906i	−0.0477118	+	0.0127844i
$544$	0.228269	−	2.17183i	0.00978694	−	0.0931165i
$545$	−30.2214	−	17.1370i	−1.29454	−	0.734067i
$546$	23.4580	−	15.2039i	1.00391	−	0.650665i
$547$	−1.44873	+	9.14693i	−0.0619433	+	0.391094i	0.937166	+	0.348885i	$0.113440\pi$
$547$	−1.44873	+	9.14693i	−0.0619433	+	0.391094i	−0.999109	+	0.0422094i	$0.986560\pi$
$548$	−12.7286	+	0.667076i	−0.543737	+	0.0284961i
$549$	2.09624	−	3.63080i	0.0894654	−	0.154959i
$550$	−7.19544	−	13.5958i	−0.306815	−	0.579729i
$551$	−26.2104	+	15.1326i	−1.11660	+	0.644669i
$552$	−5.06802	+	9.94655i	−0.215709	+	0.423353i
$553$	2.21279	+	6.83118i	0.0940976	+	0.290491i
$554$	10.3288	+	14.2164i	0.438828	+	0.603995i
$555$	−15.3785	−	20.8248i	−0.652781	−	0.883965i
$556$	−4.99248	−	11.2133i	−0.211728	−	0.475550i
$557$	−5.83133	−	21.7628i	−0.247082	−	0.922121i	−0.972326	−	0.233629i	$-0.924940\pi$
$557$	−5.83133	−	21.7628i	−0.247082	−	0.922121i	0.725244	−	0.688492i	$-0.241727\pi$
$558$	2.92969	+	3.61786i	0.124024	+	0.153156i
$559$	14.4080	−	44.3433i	0.609394	−	1.87552i
$560$	5.63894	+	1.78951i	0.238289	+	0.0756207i
$561$	3.85738	+	11.8718i	0.162859	+	0.501228i
$562$	−3.38656	+	5.21485i	−0.142854	+	0.219975i
$563$	−40.8591	−	2.14133i	−1.72200	−	0.0902464i	−0.834489	−	0.551025i	$-0.814237\pi$
$563$	−40.8591	−	2.14133i	−1.72200	−	0.0902464i	−0.887515	+	0.460779i	$0.847570\pi$
$564$	1.52725	−	7.18517i	0.0643090	−	0.302550i
$565$	2.66349	+	2.62246i	0.112054	+	0.110328i
$566$	7.90908	+	2.56982i	0.332443	+	0.108017i
$567$	−10.9468	+	24.5275i	−0.459721	+	1.03006i
$568$	−8.71414	−	8.71414i	−0.365637	−	0.365637i
$569$	−12.4224	−	1.30565i	−0.520775	−	0.0547356i	−0.159505	−	0.987197i	$-0.550990\pi$
$569$	−12.4224	−	1.30565i	−0.520775	−	0.0547356i	−0.361269	+	0.932461i	$0.617657\pi$
$570$	7.71173	−	17.6891i	0.323009	−	0.740915i
$571$	−1.97758	−	18.8154i	−0.0827592	−	0.787401i	−0.954656	−	0.297712i	$-0.903777\pi$
$571$	−1.97758	−	18.8154i	−0.0827592	−	0.787401i	0.871897	−	0.489690i	$-0.162890\pi$
$572$	6.26964	+	16.3330i	0.262147	+	0.682916i
$573$	13.2275	+	6.73974i	0.552586	+	0.281557i
$574$	−1.30753	−	2.57189i	−0.0545753	−	0.107349i
$575$	23.0502	−	19.2658i	0.961261	−	0.803440i
$576$	−0.226049	−	0.391528i	−0.00941870	−	0.0163137i
$577$	17.6201	+	27.1326i	0.733536	+	1.12955i	0.986768	+	0.162141i	$0.0518398\pi$
$577$	17.6201	+	27.1326i	0.733536	+	1.12955i	−0.253232	+	0.967406i	$0.581493\pi$
$578$	−7.69724	+	9.50531i	−0.320163	+	0.395369i
$579$	11.5615	+	5.14753i	0.480481	+	0.213924i
$580$	7.18691	−	12.6743i	0.298420	−	0.526271i
$581$	−6.82871	+	8.41727i	−0.283303	+	0.349207i
$582$	21.2857	−	21.2857i	0.882319	−	0.882319i
$583$	−3.89815	+	3.15666i	−0.161445	+	0.130736i
$584$	1.38143	+	1.53423i	0.0571639	+	0.0634870i
$585$	4.84547	+	3.09348i	0.200335	+	0.127900i
$586$	7.38035	+	6.64530i	0.304879	+	0.274515i
$587$	−4.14660	+	2.11280i	−0.171148	+	0.0872045i	−0.537466	−	0.843285i	$-0.680618\pi$
$587$	−4.14660	+	2.11280i	−0.171148	+	0.0872045i	0.366318	+	0.930490i	$0.380618\pi$
$588$	8.20303	−	10.0927i	0.338287	−	0.416217i
$589$	45.4870	−	14.7796i	1.87426	−	0.608984i
$590$	27.9591	+	13.9736i	1.15106	+	0.575284i
$591$	−13.0112	+	11.7154i	−0.535210	+	0.481905i
$592$	−2.23304	+	5.81726i	−0.0917772	+	0.239088i
$593$	−16.3261	−	4.37458i	−0.670434	−	0.179642i	−0.0924837	−	0.995714i	$-0.529481\pi$
$593$	−16.3261	−	4.37458i	−0.670434	−	0.179642i	−0.577950	+	0.816072i	$0.696147\pi$
$594$	−11.7825	−	8.56052i	−0.483444	−	0.351242i
$595$	8.19922	+	9.98430i	0.336135	+	0.409316i
$596$	7.02118	−	5.10118i	0.287599	−	0.208953i
$597$	−7.20947	+	2.76746i	−0.295064	+	0.113264i
$598$	−28.6548	+	18.6087i	−1.17178	+	0.760965i
$599$	8.61794	+	4.97557i	0.352119	+	0.203296i	0.665618	−	0.746292i	$-0.268168\pi$
$599$	8.61794	+	4.97557i	0.352119	+	0.203296i	−0.313499	+	0.949589i	$0.601501\pi$
$600$	1.11437	+	9.22283i	0.0454939	+	0.376521i
$601$			48.7724i			1.98947i	0.102492	+	0.994734i	$0.467318\pi$
$601$			48.7724i			1.98947i	−0.102492	+	0.994734i	$0.532682\pi$
$602$	0.0195074	−	21.6927i	0.000795063	−	0.884129i
$603$	0.183608	+	0.0290807i	0.00747711	+	0.00118426i
$604$	3.30228	−	7.41705i	0.134368	−	0.301795i
$605$	−0.332304	+	3.41657i	−0.0135101	+	0.138903i
$606$	−18.3747	+	8.18096i	−0.746423	+	0.332329i
$607$	−11.1737	+	41.7010i	−0.453528	+	1.69259i	0.238851	+	0.971056i	$0.423229\pi$
$607$	−11.1737	+	41.7010i	−0.453528	+	1.69259i	−0.692379	+	0.721534i	$0.743437\pi$
$608$	−4.58758	+	0.726601i	−0.186051	+	0.0294676i
$609$	−20.1353	−	24.9108i	−0.815924	−	1.00944i
$610$	19.4158	+	7.28061i	0.786122	+	0.294783i
$611$	15.0438	−	16.7079i	0.608608	−	0.675928i
$612$	0.0516707	−	0.985935i	0.00208866	−	0.0398541i
$613$	2.11344	−	40.3269i	0.0853612	−	1.62879i	−0.535266	−	0.844683i	$-0.679789\pi$
$613$	2.11344	−	40.3269i	0.0853612	−	1.62879i	0.620627	−	0.784106i	$-0.286878\pi$
$614$	−3.00400	+	3.33628i	−0.121232	+	0.134641i
$615$	2.82375	−	3.54292i	0.113864	−	0.142864i
$616$	5.11676	+	6.33030i	0.206160	+	0.255055i
$617$	−0.273851	+	0.0433738i	−0.0110248	+	0.00174616i	−0.161944	−	0.986800i	$-0.551777\pi$
$617$	−0.273851	+	0.0433738i	−0.0110248	+	0.00174616i	0.150920	+	0.988546i	$0.451777\pi$
$618$	3.40769	−	12.7177i	0.137077	−	0.511579i
$619$	17.6419	−	7.85467i	0.709087	−	0.315706i	−0.0203126	−	0.999794i	$-0.506466\pi$
$619$	17.6419	−	7.85467i	0.709087	−	0.315706i	0.729400	+	0.684088i	$0.239799\pi$
$620$	−15.2736	+	17.2301i	−0.613401	+	0.691978i
$621$	11.5688	−	25.9839i	0.464239	−	1.04270i
$622$	−22.3291	−	3.53659i	−0.895317	−	0.141804i
$623$	0.00631632	−	7.02391i	0.000253058	−	0.281407i
$624$		−	10.5657i		−	0.422966i
$625$	6.98358	−	24.0048i	0.279343	−	0.960191i
$626$	−18.3232	−	10.5789i	−0.732343	−	0.422818i
$627$	22.2666	−	14.4601i	0.889241	−	0.577480i
$628$	−16.0881	+	6.17562i	−0.641983	+	0.246434i
$629$	−11.0087	+	7.99829i	−0.438946	+	0.318913i
$630$	2.58820	+	0.674502i	0.103116	+	0.0268728i
$631$	−2.12526	−	1.54409i	−0.0846053	−	0.0614694i	0.544678	−	0.838645i	$-0.316652\pi$
$631$	−2.12526	−	1.54409i	−0.0846053	−	0.0614694i	−0.629284	+	0.777176i	$0.716652\pi$
$632$	2.62154	+	0.702441i	0.104279	+	0.0279416i
$633$	7.42202	−	19.3350i	0.294999	−	0.768498i
$634$	−8.80921	+	7.93185i	−0.349859	+	0.315014i
$635$	−3.13002	+	20.8062i	−0.124211	+	0.825668i
$636$	2.88102	−	0.936102i	0.114240	−	0.0371188i
$637$	37.1882	−	14.1985i	1.47345	−	0.562566i
$638$	17.8615	−	9.10087i	0.707142	−	0.360307i
$639$	−4.14043	−	3.72806i	−0.163793	−	0.147480i
$640$	1.72678	−	1.42065i	0.0682568	−	0.0561561i
$641$	27.7940	+	30.8684i	1.09780	+	1.21923i	0.973911	+	0.226931i	$0.0728691\pi$
$641$	27.7940	+	30.8684i	1.09780	+	1.21923i	0.123886	+	0.992296i	$0.460464\pi$
$642$	−1.88902	+	1.52970i	−0.0745538	+	0.0603725i
$643$	28.0452	−	28.0452i	1.10599	−	1.10599i	0.112323	−	0.993672i	$-0.464171\pi$
$643$	28.0452	−	28.0452i	1.10599	−	1.10599i	0.993672	−	0.112323i	$-0.0358291\pi$
$644$	−10.0150	+	12.3448i	−0.394648	+	0.486454i
$645$	31.0102	−	14.0961i	1.22103	−	0.555033i
$646$	−9.26628	−	4.12561i	−0.364577	−	0.162320i
$647$	17.6767	−	21.8289i	0.694941	−	0.858181i	−0.300478	−	0.953789i	$-0.597146\pi$
$647$	17.6767	−	21.8289i	0.694941	−	0.858181i	0.995419	+	0.0956078i	$0.0304795\pi$
$648$	5.52912	+	8.51410i	0.217204	+	0.334465i
$649$	21.5022	+	37.2430i	0.844037	+	1.46191i
$650$	−11.1602	+	26.1515i	−0.437740	+	1.02574i
$651$	22.9397	+	45.1220i	0.899078	+	1.76847i
$652$	3.83703	+	1.95506i	0.150270	+	0.0765662i
$653$	−5.53625	−	14.4224i	−0.216650	−	0.564393i	0.781584	−	0.623800i	$-0.214412\pi$
$653$	−5.53625	−	14.4224i	−0.216650	−	0.564393i	−0.998234	+	0.0594076i	$0.981079\pi$
$654$	3.01749	+	28.7095i	0.117993	+	1.12263i
$655$	−9.28498	−	42.0738i	−0.362794	−	1.64396i
$656$	−1.08452	−	0.113988i	−0.0423434	−	0.00445047i
$657$	0.659986	+	0.659986i	0.0257485	+	0.0257485i
$658$	4.26314	−	9.55204i	0.166194	−	0.372377i
$659$	−16.0301	−	5.20850i	−0.624445	−	0.202895i	−0.0203322	−	0.999793i	$-0.506472\pi$
$659$	−16.0301	−	5.20850i	−0.624445	−	0.202895i	−0.604113	+	0.796899i	$0.706472\pi$
$660$	−5.71413	+	11.4331i	−0.222422	+	0.445034i
$661$	−5.98558	+	28.1599i	−0.232812	+	1.09529i	0.694060	+	0.719917i	$0.255820\pi$
$661$	−5.98558	+	28.1599i	−0.232812	+	1.09529i	−0.926872	+	0.375377i	$0.877513\pi$
$662$	−35.5189	−	1.86146i	−1.38048	−	0.0723479i
$663$	12.5666	−	19.3509i	0.488047	−	0.751527i
$664$	1.26596	+	3.89621i	0.0491286	+	0.151202i
$665$	15.9987	−	22.3411i	0.620402	−	0.866352i
$666$	−0.870525	+	2.67920i	−0.0337321	+	0.103817i
$667$	24.6377	+	30.4251i	0.953977	+	1.17806i
$668$	0.422439	+	1.57656i	0.0163446	+	0.0609990i
$669$	−1.67208	−	3.75556i	−0.0646465	−	0.145198i
$670$	0.00713692	+	0.919417i	0.000275723	+	0.0355202i
$671$	16.7693	+	23.0810i	0.647371	+	0.891030i
$672$	−1.51485	−	4.67653i	−0.0584365	−	0.180401i
$673$	−1.66724	+	3.27214i	−0.0642674	+	0.126132i	−0.920906	−	0.389786i	$-0.872549\pi$
$673$	−1.66724	+	3.27214i	−0.0642674	+	0.126132i	0.856638	+	0.515918i	$0.172549\pi$
$674$	−20.2085	+	11.6674i	−0.778404	+	0.449412i
$675$	−4.06525	−	23.3181i	−0.156472	−	0.897513i
$676$	9.66899	−	16.7472i	0.371884	−	0.644123i
$677$	−2.00105	+	0.104871i	−0.0769068	+	0.00403051i	−0.0907505	−	0.995874i	$-0.528927\pi$
$677$	−2.00105	+	0.104871i	−0.0769068	+	0.00403051i	0.0138438	+	0.999904i	$0.495593\pi$
$678$	0.485859	−	3.06760i	0.0186593	−	0.117810i
$679$	35.9712	−	23.3140i	1.38045	−	0.894709i
$680$	4.85225	−	0.548105i	0.186075	−	0.0210189i
$681$	−1.34413	+	12.7886i	−0.0515072	+	0.490059i
$682$	−30.5998	+	8.19919i	−1.17173	+	0.313963i
$683$	−46.4749	−	17.8401i	−1.77831	−	0.682631i	−0.998388	−	0.0567592i	$-0.981923\pi$
$683$	−46.4749	−	17.8401i	−1.77831	−	0.682631i	−0.779926	−	0.625872i	$-0.784743\pi$
$684$	−2.05400	+	0.436591i	−0.0785366	+	0.0166935i
$685$	−7.59007	−	27.4718i	−0.290002	−	1.04964i
$686$	14.4243	−	11.6163i	0.550724	−	0.443513i
$687$	7.78856	+	15.2859i	0.297152	+	0.583194i
$688$	−6.87633	−	4.46554i	−0.262158	−	0.170247i
$689$	9.06901	+	1.92768i	0.345502	+	0.0734387i
$690$	−24.1607	−	6.27325i	−0.919782	−	0.238818i
$691$	−3.64822	−	17.1635i	−0.138785	−	0.652931i	−0.991451	−	0.130476i	$-0.958349\pi$
$691$	−3.64822	−	17.1635i	−0.138785	−	0.652931i	0.852667	−	0.522455i	$-0.174984\pi$
$692$	0.890506	+	5.62243i	0.0338519	+	0.213733i
$693$	2.45989	+	2.73692i	0.0934433	+	0.103967i
$694$	−7.51842	+	10.3482i	−0.285395	+	0.392813i
$695$	22.0789	−	16.3046i	0.837499	−	0.618468i
$696$	−12.0402	+	1.26548i	−0.456384	+	0.0479679i
$697$	−1.85071	−	1.49867i	−0.0701006	−	0.0567663i
$698$	0.153044	+	2.92025i	0.00579279	+	0.110533i
$699$	32.4932			1.22901
$700$	−1.19023	+	13.1751i	−0.0449863	+	0.497972i
$701$	0.247247			0.00933838			0.00466919	−	0.999989i	$-0.498514\pi$
$701$	0.247247			0.00933838			0.00466919	+	0.999989i	$0.498514\pi$
$702$	1.40890	+	26.8835i	0.0531756	+	1.01465i
$703$	22.4922	+	18.2139i	0.848311	+	0.686949i
$704$	3.05965	−	0.321582i	0.115315	−	0.0121201i
$705$	16.4250	−	0.127498i	0.618600	−	0.00480185i
$706$	−12.5872	+	17.3249i	−0.473727	+	0.652029i
$707$	−28.0211	+	5.92974i	−1.05384	+	0.223011i
$708$	−4.06285	−	25.6518i	−0.152691	−	0.964054i
$709$	4.17819	+	19.6568i	0.156915	+	0.738228i	0.984287	+	0.176574i	$0.0565014\pi$
$709$	4.17819	+	19.6568i	0.156915	+	0.738228i	−0.827372	+	0.561654i	$0.810165\pi$
$710$	14.8285	−	23.2267i	0.556505	−	0.871681i
$711$	1.20019	+	0.255108i	0.0450106	+	0.00956731i
$712$	−2.22649	−	1.44590i	−0.0834414	−	0.0541875i
$713$	−28.0876	−	55.1250i	−1.05189	−	2.06445i
$714$	2.78775	−	10.3667i	0.104329	−	0.387965i
$715$	−32.6424	+	21.5603i	−1.22076	+	0.806309i
$716$	3.53448	−	0.751278i	0.132090	−	0.0280766i
$717$	−46.7222	−	17.9350i	−1.74487	−	0.669794i
$718$	21.3178	−	5.71210i	0.795575	−	0.213174i
$719$	3.76268	−	35.7995i	0.140324	−	1.33510i	−0.667031	−	0.745030i	$-0.732435\pi$
$719$	3.76268	−	35.7995i	0.140324	−	1.33510i	0.807355	−	0.590066i	$-0.200898\pi$
$720$	0.745987	−	0.682249i	0.0278013	−	0.0254259i
$721$	8.52675	−	16.6975i	0.317553	−	0.621849i
$722$	−0.402635	+	2.54214i	−0.0149845	+	0.0946086i
$723$	−7.20597	+	0.377649i	−0.267993	+	0.0140449i
$724$	−0.309750	+	0.536502i	−0.0115118	+	0.0199389i
$725$	31.1378	+	9.58550i	1.15643	+	0.355996i
$726$	2.47014	−	1.42614i	0.0916755	−	0.0529289i
$727$	11.5048	−	22.5795i	0.426690	−	0.837427i	−0.573148	−	0.819452i	$-0.694278\pi$
$727$	11.5048	−	22.5795i	0.426690	−	0.837427i	0.999838	−	0.0179750i	$-0.00572194\pi$
$728$	3.14136	−	14.7139i	0.116427	−	0.545332i
$729$	−12.8121	−	17.6343i	−0.474521	−	0.653122i
$730$	−2.68438	+	3.75569i	−0.0993532	+	0.139004i
$731$	−7.28266	−	16.3571i	−0.269359	−	0.604990i
$732$	−4.45940	−	16.6427i	−0.164824	−	0.615133i
$733$	26.9369	+	33.2643i	0.994938	+	1.22865i	0.973455	+	0.228877i	$0.0735053\pi$
$733$	26.9369	+	33.2643i	0.994938	+	1.22865i	0.0214824	+	0.999769i	$0.493161\pi$
$734$	3.80211	−	11.7017i	0.140338	−	0.431917i
$735$	25.9905	+	13.0482i	0.958676	+	0.481290i
$736$	1.85666	+	5.71421i	0.0684374	+	0.210629i
$737$	−0.688980	+	1.06094i	−0.0253789	+	0.0390801i
$738$	−0.492334	−	0.0258021i	−0.0181231	−	0.000949790i
$739$	−7.05746	+	33.2028i	−0.259613	+	1.22138i	0.634280	+	0.773103i	$0.281297\pi$
$739$	−7.05746	+	33.2028i	−0.259613	+	1.22138i	−0.893893	+	0.448280i	$0.852037\pi$
$740$	−13.7782	−	2.07275i	−0.506496	−	0.0761958i
$741$	−46.6732	−	15.1651i	−1.71458	−	0.557102i
$742$	4.29045	−	0.447044i	0.157508	−	0.0164115i
$743$	31.9462	+	31.9462i	1.17199	+	1.17199i	0.981734	+	0.190258i	$0.0609326\pi$
$743$	31.9462	+	31.9462i	1.17199	+	1.17199i	0.190258	+	0.981734i	$0.439067\pi$
$744$	19.0271	+	1.99983i	0.697569	+	0.0733174i
$745$	14.5219	+	12.8728i	0.532040	+	0.471625i
$746$	0.233186	+	2.21862i	0.00853755	+	0.0812293i
$747$	0.663739	+	1.72910i	0.0242849	+	0.0632644i
$748$	5.98618	+	3.05011i	0.218876	+	0.111523i
$749$	−3.08547	+	1.56863i	−0.112741	+	0.0573166i
$750$	−19.6013	+	6.87745i	−0.715740	+	0.251129i
$751$	19.7675	+	34.2384i	0.721327	+	1.24938i	0.960468	+	0.278391i	$0.0898009\pi$
$751$	19.7675	+	34.2384i	0.721327	+	1.24938i	−0.239141	+	0.970985i	$0.576866\pi$
$752$	−2.15328	−	3.31575i	−0.0785219	−	0.120913i
$753$	−30.5083	+	37.6746i	−1.11179	+	1.37294i
$754$	−33.8505	−	15.0712i	−1.23276	−	0.548862i
$755$	17.7866	+	3.63659i	0.647321	+	0.132349i
$756$	4.47800	+	11.6970i	0.162863	+	0.425416i
$757$	−20.6424	+	20.6424i	−0.750260	+	0.750260i	−0.974528	−	0.224268i	$-0.928001\pi$
$757$	−20.6424	+	20.6424i	−0.750260	+	0.750260i	0.224268	+	0.974528i	$0.428001\pi$
$758$	19.8902	−	16.1068i	0.722446	−	0.585025i
$759$	−22.9805	−	25.5224i	−0.834139	−	0.926405i
$760$	−3.79716	−	9.66699i	−0.137738	−	0.350659i
$761$	28.0238	+	25.2328i	1.01586	+	0.914687i	0.996370	−	0.0851226i	$-0.0271282\pi$
$761$	28.0238	+	25.2328i	1.01586	+	0.914687i	0.0194927	+	0.999810i	$0.493795\pi$
$762$	15.5772	−	7.93698i	0.564302	−	0.287526i
$763$	−4.33365	+	40.8783i	−0.156889	+	1.47989i
$764$	7.59909	−	2.46909i	0.274925	−	0.0893286i
$765$	2.17772	−	0.362266i	0.0787355	−	0.0130978i
$766$	19.4170	−	17.4831i	0.701564	−	0.631691i
$767$	28.4867	−	74.2104i	1.02860	−	2.67958i
$768$	−1.79467	−	0.480881i	−0.0647597	−	0.0173523i
$769$	−11.8009	−	8.57387i	−0.425552	−	0.309181i	0.354316	−	0.935126i	$-0.384714\pi$
$769$	−11.8009	−	8.57387i	−0.425552	−	0.309181i	−0.779868	+	0.625944i	$0.784714\pi$
$770$	−11.3568	+	14.2230i	−0.409271	+	0.512560i
$771$	14.5001	−	10.5349i	0.522208	−	0.379406i
$772$	6.35910	−	2.44103i	0.228869	−	0.0878546i
$773$	−1.44681	+	0.939568i	−0.0520381	+	0.0337939i	−0.570396	−	0.821370i	$-0.693210\pi$
$773$	−1.44681	+	0.939568i	−0.0520381	+	0.0337939i	0.518358	+	0.855164i	$0.326544\pi$
$774$	−3.21017	−	1.85339i	−0.115387	−	0.0666188i
$775$	−44.9823	−	25.0476i	−1.61581	−	0.899737i
$776$		−	16.2017i		−	0.581607i
$777$	−15.3392	+	26.5132i	−0.550291	+	0.951156i
$778$	−1.59447	−	0.252540i	−0.0571646	−	0.00905398i
$779$	−2.06016	+	4.62719i	−0.0738128	+	0.165786i
$780$	23.0705	−	5.09127i	0.826057	−	0.182297i
$781$	34.6359	−	15.4209i	1.23937	−	0.551803i
$782$	−3.39592	+	12.6738i	−0.121438	+	0.453213i
$783$	30.4665	−	4.82543i	1.08879	−	0.172447i
$784$	−0.719177	−	6.96296i	−0.0256849	−	0.248677i
$785$	−21.2370	−	32.1529i	−0.757980	−	1.14759i
$786$	−23.9555	+	26.6053i	−0.854464	+	0.948979i
$787$	0.544932	−	10.3979i	0.0194247	−	0.370646i	−0.971571	−	0.236750i	$-0.923918\pi$
$787$	0.544932	−	10.3979i	0.0194247	−	0.370646i	0.990995	−	0.133896i	$-0.0427489\pi$
$788$	−0.493177	+	9.41039i	−0.0175687	+	0.335231i
$789$	−20.6983	+	22.9878i	−0.736879	+	0.818387i
$790$	−0.270561	+	6.06270i	−0.00962614	+	0.215701i
$791$	1.58866	−	4.12750i	0.0564862	−	0.146757i
$792$	1.37375	−	0.217581i	0.0488142	−	0.00773141i
$793$	13.6487	−	50.9377i	0.484680	−	1.80885i
$794$	28.6755	−	12.7672i	1.01766	−	0.453089i
$795$	3.43228	+	5.83973i	0.121730	+	0.207114i
$796$	−1.69053	+	3.79700i	−0.0599193	+	0.134581i
$797$	−11.4319	−	1.81064i	−0.404939	−	0.0641361i	−0.0493573	−	0.998781i	$-0.515717\pi$
$797$	−11.4319	−	1.81064i	−0.404939	−	0.0641361i	−0.355582	+	0.934645i	$0.615717\pi$
$798$	−22.8325	−	0.0205324i	−0.808263	−	0.000726839i
$799$		−	8.63381i		−	0.305442i
$800$	3.93411	+	3.08590i	0.139092	+	0.109103i
$801$	−1.03942	−	0.600112i	−0.0367262	−	0.0212039i
$802$	4.10505	−	2.66585i	0.144955	−	0.0941346i
$803$	−5.92961	+	2.27617i	−0.209252	+	0.0803241i
$804$	0.618073	−	0.449056i	0.0217978	−	0.0158370i
$805$	−31.7812	−	15.9196i	−1.12014	−	0.561091i
$806$	47.3731	+	34.4186i	1.66865	+	1.21234i
$807$	40.1672	+	10.7628i	1.41395	+	0.378868i
$808$	−3.87953	+	10.1065i	−0.136481	+	0.355546i
$809$	−3.09528	+	2.78700i	−0.108824	+	0.0979859i	−0.721747	−	0.692157i	$-0.756660\pi$
$809$	−3.09528	+	2.78700i	−0.108824	+	0.0979859i	0.612922	+	0.790143i	$0.289994\pi$
$810$	−15.9265	+	16.1757i	−0.559600	+	0.568355i
$811$	40.5295	−	13.1688i	1.42318	−	0.462420i	0.506570	−	0.862199i	$-0.330913\pi$
$811$	40.5295	−	13.1688i	1.42318	−	0.462420i	0.916612	+	0.399779i	$0.130913\pi$
$812$	−17.1436	−	1.81745i	−0.601621	−	0.0637800i
$813$	−12.4055	+	6.32093i	−0.435081	+	0.221685i
$814$	−14.2461	−	12.8273i	−0.499327	−	0.449596i
$815$	−2.42000	+	9.32035i	−0.0847688	+	0.326478i
$816$	−2.71496	−	3.01527i	−0.0950428	−	0.105556i
$817$	−29.5959	+	23.9663i	−1.03543	+	0.838474i
$818$	3.09014	−	3.09014i	0.108044	−	0.108044i
$819$	1.07011	−	6.71731i	0.0373927	−	0.234722i
$820$	−0.273701	−	2.42301i	−0.00955804	−	0.0846152i
$821$	29.2056	+	13.0032i	1.01928	+	0.453814i	0.847203	−	0.531269i	$-0.178285\pi$
$821$	29.2056	+	13.0032i	1.01928	+	0.453814i	0.172079	+	0.985083i	$0.444951\pi$
$822$	−14.9035	+	18.4043i	−0.519819	+	0.641923i
$823$	−6.24173	−	9.61142i	−0.217573	−	0.335033i	0.712984	−	0.701180i	$-0.247343\pi$
$823$	−6.24173	−	9.61142i	−0.217573	−	0.335033i	−0.930557	+	0.366147i	$0.880677\pi$
$824$	−3.54317	−	6.13695i	−0.123432	−	0.213791i
$825$	−27.7181	−	6.96770i	−0.965019	−	0.242584i
$826$	1.96877	−	36.9309i	0.0685022	−	1.28499i
$827$	−41.5339	−	21.1626i	−1.44427	−	0.735894i	−0.456200	−	0.889877i	$-0.650790\pi$
$827$	−41.5339	−	21.1626i	−1.44427	−	0.735894i	−0.988073	+	0.153983i	$0.950790\pi$
$828$	0.973444	+	2.53591i	0.0338295	+	0.0881290i
$829$	−1.15133	−	10.9542i	−0.0399874	−	0.380455i	−0.996153	−	0.0876290i	$-0.972071\pi$
$829$	−1.15133	−	10.9542i	−0.0399874	−	0.380455i	0.956166	−	0.292826i	$-0.0945957\pi$
$830$	−7.89747	+	4.64171i	−0.274125	+	0.161116i
$831$	32.4703	+	3.41277i	1.12638	+	0.118388i
$832$	−4.02107	−	4.02107i	−0.139405	−	0.139405i
$833$	6.96444	−	13.6079i	0.241303	−	0.471487i
$834$	−21.6896	−	7.04737i	−0.751049	−	0.244031i
$835$	−3.23891	+	1.68210i	−0.112087	+	0.0582116i
$836$	2.97098	−	13.9774i	0.102753	−	0.483417i
$837$	−48.6795	−	2.55119i	−1.68261	−	0.0881819i
$838$	3.85745	−	5.93995i	0.133253	−	0.205192i
$839$	−2.73088	−	8.40477i	−0.0942803	−	0.290165i	0.892785	−	0.450483i	$-0.148748\pi$
$839$	−2.73088	−	8.40477i	−0.0942803	−	0.290165i	−0.987065	+	0.160318i	$0.948748\pi$
$840$	9.48138	−	5.56119i	0.327139	−	0.191879i
$841$	−4.15870	+	12.7992i	−0.143404	+	0.441351i
$842$	−19.9431	−	24.6277i	−0.687285	−	0.848727i
$843$	2.99012	+	11.1593i	0.102985	+	0.384346i
$844$	−4.53382	−	10.1831i	−0.156061	−	0.350518i
$845$	41.2272	+	13.0426i	1.41826	+	0.448679i
$846$	−1.05061	−	1.44604i	−0.0361207	−	0.0497159i
$847$	3.86395	−	1.25163i	0.132767	−	0.0430066i
$848$	0.740194	−	1.45271i	0.0254184	−	0.0498864i
$849$	13.3811	−	7.72558i	0.459238	−	0.265141i
$850$	3.53495	+	10.3309i	0.121248	+	0.354348i
$851$	18.7192	−	32.4226i	0.641685	−	1.11143i
$852$	−22.8658	+	1.19834i	−0.783368	+	0.0410546i
$853$	−0.723488	+	4.56792i	−0.0247718	+	0.156403i	−0.996974	−	0.0777420i	$-0.975229\pi$
$853$	−0.723488	+	4.56792i	−0.0247718	+	0.156403i	0.972202	+	0.234145i	$0.0752290\pi$
$854$	−1.26204	−	24.5026i	−0.0431860	−	0.838463i
$855$	−1.94307	−	4.27459i	−0.0664514	−	0.146188i
$856$	−0.136750	+	1.30109i	−0.00467402	+	0.0444703i
$857$	−41.6267	+	11.1538i	−1.42194	+	0.381008i	−0.886172	−	0.463356i	$-0.846645\pi$
$857$	−41.6267	+	11.1538i	−1.42194	+	0.381008i	−0.535770	+	0.844364i	$0.679979\pi$
$858$	30.3464	+	11.6489i	1.03601	+	0.397686i
$859$	−42.9556	+	9.13050i	−1.46563	+	0.311529i	−0.870526	−	0.492122i	$-0.836221\pi$
$859$	−42.9556	+	9.13050i	−1.46563	+	0.311529i	−0.595101	+	0.803651i	$0.702888\pi$
$860$	6.43716	−	17.1665i	0.219505	−	0.585372i
$861$	−5.17670	−	1.39208i	−0.176421	−	0.0474421i
$862$	8.27227	+	16.2352i	0.281754	+	0.552974i
$863$	−7.47548	−	4.85464i	−0.254468	−	0.165254i	0.411101	−	0.911590i	$-0.365144\pi$
$863$	−7.47548	−	4.85464i	−0.254468	−	0.165254i	−0.665569	+	0.746336i	$0.731811\pi$
$864$	4.63051	+	0.984245i	0.157533	+	0.0334847i
$865$	−11.8476	+	4.65372i	−0.402832	+	0.158231i
$866$	2.68667	+	12.6398i	0.0912969	+	0.429518i
$867$	3.55498	+	22.4453i	0.120734	+	0.762281i
$868$	25.9028	+	8.44207i	0.879197	+	0.286543i
$869$	−4.90783	+	6.75504i	−0.166487	+	0.229149i
$870$	−8.56502	−	25.6804i	−0.290381	−	0.870648i
$871$	2.32547	−	0.244417i	0.0787957	−	0.00828176i
$872$	12.0746	+	9.77782i	0.408898	+	0.331119i
$873$	−0.383348	−	7.31471i	−0.0129744	−	0.247565i
$874$	27.9070			0.943969
$875$	−29.3418	+	3.74977i	−0.991933	+	0.126765i
$876$	3.83583			0.129601
$877$	−2.08750	−	39.8319i	−0.0704898	−	1.34503i	−0.773477	−	0.633824i	$-0.781484\pi$
$877$	−2.08750	−	39.8319i	−0.0704898	−	1.34503i	0.702987	−	0.711202i	$-0.251849\pi$
$878$	−7.27259	−	5.88923i	−0.245438	−	0.198752i
$879$	18.3510	−	1.92877i	0.618963	−	0.0650557i
$880$	2.17653	+	6.52587i	0.0733708	+	0.219987i
$881$	−17.4840	+	24.0647i	−0.589052	+	0.810761i	−0.994651	−	0.103290i	$-0.967063\pi$
$881$	−17.4840	+	24.0647i	−0.589052	+	0.810761i	0.405599	+	0.914051i	$0.367063\pi$
$882$	−0.489443	−	3.12661i	−0.0164804	−	0.105278i
$883$	3.19327	+	20.1615i	0.107462	+	0.678489i	0.981331	+	0.192327i	$0.0616034\pi$
$883$	3.19327	+	20.1615i	0.107462	+	0.678489i	−0.873869	+	0.486162i	$0.838397\pi$
$884$	−2.58195	−	12.1471i	−0.0868402	−	0.408551i
$885$	54.0537	−	21.2321i	1.81700	−	0.713711i
$886$	6.07069	+	1.29037i	0.203949	+	0.0433507i
$887$	−1.56807	−	1.01832i	−0.0526507	−	0.0341917i	0.518045	−	0.855353i	$-0.326660\pi$
$887$	−1.56807	−	1.01832i	−0.0526507	−	0.0341917i	−0.570696	+	0.821161i	$0.693327\pi$
$888$	5.25599	+	10.3155i	0.176380	+	0.346164i
$889$	24.0527	−	6.42173i	0.806702	−	0.215378i
$890$	2.08429	−	5.55835i	0.0698657	−	0.186316i
$891$	−30.5498	+	6.49357i	−1.02346	+	0.217543i
$892$	−2.06564	−	0.792925i	−0.0691628	−	0.0265491i
$893$	−17.7377	+	4.75281i	−0.593571	+	0.159047i
$894$	1.68550	−	16.0364i	0.0563715	−	0.536339i
$895$	3.34359	+	7.35563i	0.111764	+	0.245872i
$896$	−2.35630	−	1.20327i	−0.0787185	−	0.0401983i
$897$	−9.93071	+	62.7001i	−0.331577	+	2.09349i
$898$	28.4764	−	1.49239i	0.950270	−	0.0498015i
$899$	33.5480	−	58.1068i	1.11889	−	1.93797i
$900$	1.84918	+	1.30013i	0.0616393	+	0.0433377i
$901$	3.08348	−	1.78025i	0.102726	−	0.0593087i
$902$	1.52310	−	2.98924i	0.0507136	−	0.0995310i
$903$	−29.9280	−	26.9960i	−0.995940	−	0.898372i
$904$	−0.982552	−	1.35237i	−0.0326792	−	0.0449790i
$905$	−1.32073	−	0.417824i	−0.0439025	−	0.0138890i
$906$	−6.13558	−	13.7807i	−0.203841	−	0.457835i
$907$	−3.96767	−	14.8075i	−0.131744	−	0.491677i	0.868246	−	0.496134i	$-0.165248\pi$
$907$	−3.96767	−	14.8075i	−0.131744	−	0.491677i	−0.999990	+	0.00445782i	$0.998581\pi$
$908$	4.35550	+	5.37859i	0.144542	+	0.178495i
$909$	−1.51239	+	4.65466i	−0.0501628	+	0.154385i
$910$	33.6419	−	0.230889i	1.11522	−	0.00765389i
$911$	−8.34648	−	25.6878i	−0.276531	−	0.851076i	−0.988810	−	0.149179i	$-0.952337\pi$
$911$	−8.34648	−	25.6878i	−0.276531	−	0.851076i	0.712279	−	0.701897i	$-0.247663\pi$
$912$	−4.70017	+	7.23763i	−0.155638	+	0.239662i
$913$	−12.5863	−	0.659619i	−0.416545	−	0.0218302i
$914$	−4.30900	+	20.2723i	−0.142529	+	0.670547i
$915$	34.1910	−	17.7568i	1.13032	−	0.587023i
$916$	8.78163	+	2.85332i	0.290153	+	0.0942765i
$917$	−41.2708	+	29.9283i	−1.36288	+	0.988320i
$918$	7.31006	+	7.31006i	0.241268	+	0.241268i
$919$	6.56043	+	0.689529i	0.216409	+	0.0227455i	0.212112	−	0.977245i	$-0.431966\pi$
$919$	6.56043	+	0.689529i	0.216409	+	0.0227455i	0.00429644	+	0.999991i	$0.498632\pi$
$920$	−11.5825	+	6.80757i	−0.381863	+	0.224439i
$921$	0.871898	+	8.29555i	0.0287300	+	0.273348i
$922$	−8.12908	−	21.1770i	−0.267717	−	0.697427i
$923$	−62.4420	−	31.8158i	−2.05530	−	1.04723i
$924$	15.1019	+	0.805075i	0.496816	+	0.0264850i
$925$	−2.11336	−	31.0839i	−0.0694868	−	1.02203i
$926$	−10.2522	−	17.7573i	−0.336908	−	0.583542i
$927$	−1.74487	−	2.68686i	−0.0573090	−	0.0882481i
$928$	−4.10063	+	5.06386i	−0.134610	+	0.166229i
$929$	−0.272801	−	0.121459i	−0.00895031	−	0.00398493i	0.402257	−	0.915527i	$-0.368226\pi$
$929$	−0.272801	−	0.121459i	−0.00895031	−	0.00398493i	−0.411207	+	0.911542i	$0.634893\pi$
$930$	4.80188	+	42.5100i	0.157460	+	1.39396i
$931$	−31.7906	−	6.81709i	−1.04190	−	0.223421i
$932$	12.3662	−	12.3662i	0.405069	−	0.405069i
$933$	−32.6435	+	26.4342i	−1.06870	+	0.865415i
$934$	−2.54326	−	2.82458i	−0.0832181	−	0.0924231i
$935$	−3.77546	+	14.5407i	−0.123471	+	0.475533i
$936$	−1.91057	−	1.72028i	−0.0624488	−	0.0562291i
$937$	−13.1340	+	6.69212i	−0.429070	+	0.218622i	−0.655169	−	0.755482i	$-0.727403\pi$
$937$	−13.1340	+	6.69212i	−0.429070	+	0.218622i	0.226099	+	0.974104i	$0.427403\pi$
$938$	0.994245	−	0.441596i	0.0324633	−	0.0144186i
$939$	−37.3868	+	12.1477i	−1.22007	+	0.396426i
$940$	6.20245	−	6.29950i	0.202302	−	0.205467i
$941$	30.3461	−	27.3237i	0.989253	−	0.890728i	−0.00475988	−	0.999989i	$-0.501515\pi$
$941$	30.3461	−	27.3237i	0.989253	−	0.890728i	0.994013	+	0.109261i	$0.0348485\pi$
$942$	−11.4742	+	29.8913i	−0.373850	+	0.973912i
$943$	6.32874	+	1.69578i	0.206092	+	0.0552222i
$944$	−11.3087	−	8.21628i	−0.368068	−	0.267417i
$945$	−23.3830	+	15.4143i	−0.760648	+	0.501426i
$946$	20.4070	−	14.8266i	0.663490	−	0.482054i
$947$	12.1494	−	4.66372i	0.394803	−	0.151551i	−0.152864	−	0.988247i	$-0.548850\pi$
$947$	12.1494	−	4.66372i	0.394803	−	0.151551i	0.547667	+	0.836697i	$0.315516\pi$
$948$	4.22908	−	2.74640i	0.137354	−	0.0891989i
$949$	10.1673	+	5.87008i	0.330044	+	0.190551i
$950$	19.2784	−	12.9494i	0.625475	−	0.420135i
$951$			22.0245i			0.714192i
$952$	−2.88439	−	5.00630i	−0.0934835	−	0.162255i
$953$	−4.15651	−	0.658326i	−0.134643	−	0.0213253i	0.0887494	−	0.996054i	$-0.471713\pi$
$953$	−4.15651	−	0.658326i	−0.134643	−	0.0213253i	−0.223392	+	0.974729i	$0.571713\pi$
$954$	0.299809	−	0.673382i	0.00970667	−	0.0218015i
$955$	9.05310	+	15.4031i	0.292951	+	0.498431i
$956$	−24.6071	+	10.9558i	−0.795850	+	0.354335i
$957$	9.63993	−	35.9767i	0.311615	−	1.16296i
$958$	1.81359	−	0.287244i	0.0585943	−	0.00928042i
$959$	−26.2266	+	21.1989i	−0.846902	+	0.684548i
$960$	0.185223	−	4.15044i	0.00597803	−	0.133955i
$961$	−50.2059	+	55.7594i	−1.61955	+	1.79869i
$962$	−1.85448	+	35.3857i	−0.0597910	+	1.14088i
$963$	−0.0309546	+	0.590649i	−0.000997498	+	0.0190334i
$964$	−2.59871	+	2.88616i	−0.0836987	+	0.0929568i
$965$	8.39431	+	12.7090i	0.270223	+	0.409118i
$966$	4.59409	+	29.1758i	0.147813	+	0.938715i
$967$	51.7268	−	8.19271i	1.66342	−	0.263460i	0.747336	−	0.664446i	$-0.231332\pi$
$967$	51.7268	−	8.19271i	1.66342	−	0.263460i	0.916084	+	0.400986i	$0.131332\pi$
$968$	0.397325	−	1.48284i	0.0127705	−	0.0476602i
$969$	−17.2166	+	7.66532i	−0.553076	+	0.246245i
$970$	35.3769	−	7.80709i	1.13588	−	0.250670i
$971$	8.21712	−	18.4559i	0.263700	−	0.592280i	−0.732364	−	0.680913i	$-0.761583\pi$
$971$	8.21712	−	18.4559i	0.263700	−	0.592280i	0.996064	+	0.0886332i	$0.0282499\pi$
$972$	4.60280	+	0.729012i	0.147635	+	0.0233831i
$973$	−28.1098	−	16.2629i	−0.901158	−	0.521365i
$974$		−	4.03244i		−	0.129208i
$975$	22.2339	+	47.9218i	0.712054	+	1.53473i
$976$	−8.03100	−	4.63670i	−0.257066	−	0.148417i
$977$	32.2490	−	20.9428i	1.03174	−	0.670018i	0.0864496	−	0.996256i	$-0.472448\pi$
$977$	32.2490	−	20.9428i	1.03174	−	0.670018i	0.945288	+	0.326238i	$0.105781\pi$
$978$	7.46977	−	2.86738i	0.238857	−	0.0916886i
$979$	6.60761	−	4.80071i	0.211180	−	0.153431i
$980$	14.8573	−	4.92557i	0.474598	−	0.157342i
$981$	5.68277	+	4.12877i	0.181437	+	0.131822i
$982$	23.2835	+	6.23879i	0.743006	+	0.199088i
$983$	−15.3014	+	39.8616i	−0.488040	+	1.27139i	0.439695	+	0.898147i	$0.355087\pi$
$983$	−15.3014	+	39.8616i	−0.488040	+	1.27139i	−0.927735	+	0.373240i	$0.878247\pi$
$984$	−1.50570	+	1.35574i	−0.0480000	+	0.0432194i
$985$	−20.7855	+	3.45770i	−0.662281	+	0.110171i
$986$	−13.5331	+	4.39717i	−0.430981	+	0.140034i
$987$	−7.88890	−	17.7617i	−0.251107	−	0.565362i
$988$	−23.5343	+	11.9913i	−0.748725	+	0.381495i
$989$	36.6091	+	32.9629i	1.16410	+	1.04816i
$990$	1.13706	+	2.89479i	0.0361383	+	0.0920024i
$991$	11.3484	+	12.6037i	0.360493	+	0.400368i	0.895921	−	0.444212i	$-0.146516\pi$
$991$	11.3484	+	12.6037i	0.360493	+	0.400368i	−0.535428	+	0.844581i	$0.679850\pi$
$992$	8.00240	−	6.48022i	0.254076	−	0.205747i
$993$	−46.7284	+	46.7284i	−1.48288	+	1.48288i
$994$	−32.1993	−	5.12956i	−1.02130	−	0.162700i
$995$	−9.10547	−	1.86168i	−0.288663	−	0.0590191i
$996$	6.95357	+	3.09593i	0.220332	+	0.0980982i
$997$	−37.6728	+	46.5221i	−1.19311	+	1.47337i	−0.349064	+	0.937099i	$0.613500\pi$
$997$	−37.6728	+	46.5221i	−1.19311	+	1.47337i	−0.844046	+	0.536270i	$0.819833\pi$
$998$	−5.26488	−	8.10720i	−0.166657	−	0.256629i
$999$	−14.7489	−	25.5459i	−0.466636	−	0.808237i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.283.3	yes	320
7.5	odd	6	inner	350.2.x.a.33.3	✓	320
25.22	odd	20	inner	350.2.x.a.297.3	yes	320
175.47	even	60	inner	350.2.x.a.47.3	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.33.3	✓	320	7.5	odd	6	inner
350.2.x.a.47.3	yes	320	175.47	even	60	inner
350.2.x.a.283.3	yes	320	1.1	even	1	trivial
350.2.x.a.297.3	yes	320	25.22	odd	20	inner

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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0523360 - 0.998630i) q^{2} +(-1.44392 - 1.16927i) q^{3} +(-0.994522 + 0.104528i) q^{4} +(-0.707470 - 2.12120i) q^{5} +(-1.09209 + 1.50314i) q^{6} +(-1.96777 + 1.76858i) q^{7} +(0.156434 + 0.987688i) q^{8} +(0.0939963 + 0.442218i) q^{9} +(-2.08127 + 0.817515i) q^{10} +(-3.00927 - 0.639640i) q^{11} +(1.55823 + 1.01193i) q^{12} +(2.58168 + 5.06684i) q^{13} +(1.86915 + 1.87251i) q^{14} +(-1.45871 + 3.89007i) q^{15} +(0.978148 - 0.207912i) q^{16} +(2.03875 + 0.782602i) q^{17} +(0.436693 - 0.117011i) q^{18} +(0.485510 - 4.61932i) q^{19} +(0.925320 + 2.03563i) q^{20} +(4.90925 - 0.252856i) q^{21} +(-0.481271 + 3.03862i) q^{22} +(-6.00004 + 0.314449i) q^{23} +(0.928991 - 1.60906i) q^{24} +(-3.99897 + 3.00137i) q^{25} +(4.92478 - 2.84332i) q^{26} +(-2.14917 + 4.21799i) q^{27} +(1.77212 - 1.96458i) q^{28} +(-3.82999 - 5.27153i) q^{29} +(3.96108 + 1.25313i) q^{30} +(4.18823 + 9.40693i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(3.59725 + 4.44223i) q^{33} +(0.674830 - 2.07691i) q^{34} +(5.14366 + 2.92281i) q^{35} +(-0.139706 - 0.429970i) q^{36} +(-3.39371 + 5.22586i) q^{37} +(-4.63840 - 0.243088i) q^{38} +(2.19673 - 10.3348i) q^{39} +(1.98441 - 1.03059i) q^{40} +(-1.03712 - 0.336981i) q^{41} +(-0.509440 - 4.88929i) q^{42} +(-5.79763 - 5.79763i) q^{43} +(3.05965 + 0.321582i) q^{44} +(0.871533 - 0.512241i) q^{45} +(0.628036 + 5.97536i) q^{46} +(-1.41684 - 3.69099i) q^{47} +(-1.65547 - 0.843506i) q^{48} +(0.744219 - 6.96033i) q^{49} +(3.20654 + 3.83641i) q^{50} +(-2.02873 - 3.51386i) q^{51} +(-3.09717 - 4.76923i) q^{52} +(1.02606 - 1.26707i) q^{53} +(4.32469 + 1.92547i) q^{54} +(0.772163 + 6.83579i) q^{55} +(-2.05464 - 1.66687i) q^{56} +(-6.10225 + 6.10225i) q^{57} +(-5.06386 + 4.10063i) q^{58} +(-9.35336 - 10.3880i) q^{59} +(1.04410 - 4.02124i) q^{60} +(-6.89148 - 6.20512i) q^{61} +(9.17484 - 4.67482i) q^{62} +(-0.967063 - 0.703942i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(8.92132 - 9.06090i) q^{65} +(4.24788 - 3.82481i) q^{66} +(0.147357 - 0.383877i) q^{67} +(-2.10938 - 0.565208i) q^{68} +(9.03128 + 6.56161i) q^{69} +(2.64960 - 5.28957i) q^{70} +(-9.97005 + 7.24366i) q^{71} +(-0.422069 + 0.162017i) q^{72} +(1.73145 - 1.12441i) q^{73} +(5.39631 + 3.11556i) q^{74} +(9.28361 + 0.342119i) q^{75} +4.64476i q^{76} +(7.05280 - 4.06349i) q^{77} +(-10.4356 - 1.65284i) q^{78} +(1.10389 - 2.47938i) q^{79} +(-1.13303 - 1.92775i) q^{80} +(9.27422 - 4.12915i) q^{81} +(-0.282241 + 1.05334i) q^{82} +(4.04628 - 0.640868i) q^{83} +(-4.85593 + 0.764628i) q^{84} +(0.217703 - 4.87826i) q^{85} +(-5.48626 + 6.09310i) q^{86} +(-0.633608 + 12.0900i) q^{87} +(0.161012 - 3.07228i) q^{88} +(-1.77640 + 1.97289i) q^{89} +(-0.557151 - 0.843530i) q^{90} +(-14.0413 - 5.40444i) q^{91} +(5.93431 - 0.939902i) q^{92} +(4.95171 - 18.4800i) q^{93} +(-3.61178 + 1.60807i) q^{94} +(-10.1420 + 2.23816i) q^{95} +(-0.755709 + 1.69735i) q^{96} +(-16.0022 - 2.53451i) q^{97} +(-6.98974 - 0.378923i) q^{98} -1.39088i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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