LMFDB - Embedded newform 300.2.n.a.11.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(11,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 8]))

N = Newforms(chi, 2, names="a")

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

chi := DirichletCharacter("300.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			11.13
Character	$\chi$	$=$	300.11
Dual form			300.2.n.a.191.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.02327 + 0.976179i) q^{2} +(0.339606 + 1.69843i) q^{3} +(0.0941493 - 1.99778i) q^{4} +(2.10329 + 0.759058i) q^{5} +(-2.00548 - 1.40643i) q^{6} +0.738888i q^{7} +(1.85385 + 2.13617i) q^{8} +(-2.76934 + 1.15359i) q^{9} +O(q^{10})$	\(q+(-1.02327 + 0.976179i) q^{2} +(0.339606 + 1.69843i) q^{3} +(0.0941493 - 1.99778i) q^{4} +(2.10329 + 0.759058i) q^{5} +(-2.00548 - 1.40643i) q^{6} +0.738888i q^{7} +(1.85385 + 2.13617i) q^{8} +(-2.76934 + 1.15359i) q^{9} +(-2.89320 + 1.27647i) q^{10} +(1.63157 - 1.18541i) q^{11} +(3.42507 - 0.518553i) q^{12} +(3.83758 + 2.78817i) q^{13} +(-0.721287 - 0.756079i) q^{14} +(-0.574919 + 3.83007i) q^{15} +(-3.98227 - 0.376180i) q^{16} +(-3.35436 + 1.08990i) q^{17} +(1.70765 - 3.88380i) q^{18} +(2.82939 - 0.919326i) q^{19} +(1.71446 - 4.13045i) q^{20} +(-1.25495 + 0.250931i) q^{21} +(-0.512365 + 2.80570i) q^{22} +(-1.01379 + 0.736564i) q^{23} +(-2.99856 + 3.87410i) q^{24} +(3.84766 + 3.19304i) q^{25} +(-6.64862 + 0.893130i) q^{26} +(-2.89978 - 4.31176i) q^{27} +(1.47614 + 0.0695658i) q^{28} +(-7.24833 - 2.35512i) q^{29} +(-3.15054 - 4.48041i) q^{30} +(-6.78818 + 2.20561i) q^{31} +(4.44214 - 3.50248i) q^{32} +(2.56743 + 2.36854i) q^{33} +(2.36847 - 4.38971i) q^{34} +(-0.560859 + 1.55410i) q^{35} +(2.04390 + 5.64114i) q^{36} +(-0.994956 - 0.722878i) q^{37} +(-1.99780 + 3.70271i) q^{38} +(-3.43225 + 7.46475i) q^{39} +(2.27771 + 5.90017i) q^{40} +(-1.02181 + 1.40641i) q^{41} +(1.03920 - 1.48183i) q^{42} -2.44596i q^{43} +(-2.21458 - 3.37114i) q^{44} +(-6.70036 + 0.324255i) q^{45} +(0.318363 - 1.74335i) q^{46} +(3.13833 - 9.65878i) q^{47} +(-0.713488 - 6.89137i) q^{48} +6.45404 q^{49} +(-7.05416 + 0.488673i) q^{50} +(-2.99027 - 5.32701i) q^{51} +(5.93146 - 7.40416i) q^{52} +(11.6976 + 3.80078i) q^{53} +(7.17630 + 1.58137i) q^{54} +(4.33147 - 1.25480i) q^{55} +(-1.57839 + 1.36979i) q^{56} +(2.52229 + 4.49332i) q^{57} +(9.71600 - 4.66575i) q^{58} +(3.97523 + 2.88818i) q^{59} +(7.59753 + 1.50916i) q^{60} +(5.09556 - 3.70214i) q^{61} +(4.79305 - 8.88341i) q^{62} +(-0.852377 - 2.04623i) q^{63} +(-1.12645 + 7.92030i) q^{64} +(5.95517 + 8.77728i) q^{65} +(-4.93928 + 0.0826142i) q^{66} +(-8.81266 + 2.86341i) q^{67} +(1.86157 + 6.80389i) q^{68} +(-1.59529 - 1.47172i) q^{69} +(-0.943167 - 2.13775i) q^{70} +(4.32943 - 13.3246i) q^{71} +(-7.59822 - 3.77718i) q^{72} +(-4.33209 + 3.14745i) q^{73} +(1.72376 - 0.231558i) q^{74} +(-4.11647 + 7.61936i) q^{75} +(-1.57023 - 5.73907i) q^{76} +(0.875884 + 1.20555i) q^{77} +(-3.77483 - 10.9889i) q^{78} +(14.7649 + 4.79739i) q^{79} +(-8.09033 - 3.81399i) q^{80} +(6.33844 - 6.38938i) q^{81} +(-0.327316 - 2.43660i) q^{82} +(0.885035 + 2.72386i) q^{83} +(0.383152 + 2.53074i) q^{84} +(-7.88248 - 0.253784i) q^{85} +(2.38769 + 2.50286i) q^{86} +(1.53844 - 13.1106i) q^{87} +(5.55693 + 1.28775i) q^{88} +(-7.36821 - 10.1415i) q^{89} +(6.53973 - 6.87255i) q^{90} +(-2.06014 + 2.83555i) q^{91} +(1.37605 + 2.09469i) q^{92} +(-6.05139 - 10.7802i) q^{93} +(6.21735 + 12.9471i) q^{94} +(6.64886 + 0.214066i) q^{95} +(7.45730 + 6.35521i) q^{96} +(2.66343 - 8.19720i) q^{97} +(-6.60421 + 6.30030i) q^{98} +(-3.15090 + 5.16497i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{4}{5}\right)$

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 $

$2$	−1.02327	+	0.976179i	−0.723559	+	0.690263i
$2$	−1.02327	+	0.976179i	−0.723559	+	0.690263i
$3$	0.339606	+	1.69843i	0.196071	+	0.980590i
$3$	0.339606	+	1.69843i	0.196071	+	0.980590i
$4$	0.0941493	−	1.99778i	0.0470746	−	0.998891i
$5$	2.10329	+	0.759058i	0.940620	+	0.339461i
$5$	2.10329	+	0.759058i	0.940620	+	0.339461i
$6$	−2.00548	−	1.40643i	−0.818734	−	0.574173i
$7$			0.738888i			0.279273i	0.990203	+	0.139637i	$0.0445935\pi$
$7$			0.738888i			0.279273i	−0.990203	+	0.139637i	$0.955407\pi$
$8$	1.85385	+	2.13617i	0.655436	+	0.755250i
$9$	−2.76934	+	1.15359i	−0.923112	+	0.384531i
$10$	−2.89320	+	1.27647i	−0.914911	+	0.403655i
$11$	1.63157	−	1.18541i	0.491938	−	0.357414i	−0.313991	−	0.949426i	$-0.601666\pi$
$11$	1.63157	−	1.18541i	0.491938	−	0.357414i	0.805929	+	0.592012i	$0.201666\pi$
$12$	3.42507	−	0.518553i	0.988732	−	0.149693i
$13$	3.83758	+	2.78817i	1.06435	+	0.773299i	0.974889	−	0.222691i	$-0.0714842\pi$
$13$	3.83758	+	2.78817i	1.06435	+	0.773299i	0.0894654	+	0.995990i	$0.471484\pi$
$14$	−0.721287	−	0.756079i	−0.192772	−	0.202071i
$15$	−0.574919	+	3.83007i	−0.148443	+	0.988921i
$16$	−3.98227	−	0.376180i	−0.995568	−	0.0940449i
$17$	−3.35436	+	1.08990i	−0.813551	+	0.264339i	−0.686101	−	0.727506i	$-0.740679\pi$
$17$	−3.35436	+	1.08990i	−0.813551	+	0.264339i	−0.127450	+	0.991845i	$0.540679\pi$
$18$	1.70765	−	3.88380i	0.402498	−	0.915421i
$19$	2.82939	−	0.919326i	0.649108	−	0.210908i	0.0340869	−	0.999419i	$-0.489148\pi$
$19$	2.82939	−	0.919326i	0.649108	−	0.210908i	0.615021	+	0.788511i	$0.289148\pi$
$20$	1.71446	−	4.13045i	0.383364	−	0.923597i
$21$	−1.25495	+	0.250931i	−0.273853	+	0.0547576i
$22$	−0.512365	+	2.80570i	−0.109237	+	0.598177i
$23$	−1.01379	+	0.736564i	−0.211391	+	0.153584i	−0.688443	−	0.725291i	$-0.741705\pi$
$23$	−1.01379	+	0.736564i	−0.211391	+	0.153584i	0.477052	+	0.878875i	$0.341705\pi$
$24$	−2.99856	+	3.87410i	−0.612078	+	0.790797i
$25$	3.84766	+	3.19304i	0.769532	+	0.638608i
$26$	−6.64862	+	0.893130i	−1.30390	+	0.175157i
$27$	−2.89978	−	4.31176i	−0.558063	−	0.829798i
$28$	1.47614	+	0.0695658i	0.278964	+	0.0131467i
$29$	−7.24833	−	2.35512i	−1.34598	−	0.437336i	−0.454642	−	0.890674i	$-0.650233\pi$
$29$	−7.24833	−	2.35512i	−1.34598	−	0.437336i	−0.891339	+	0.453338i	$0.850233\pi$
$30$	−3.15054	−	4.48041i	−0.575208	−	0.818007i
$31$	−6.78818	+	2.20561i	−1.21919	+	0.396140i	−0.846788	−	0.531930i	$-0.821467\pi$
$31$	−6.78818	+	2.20561i	−1.21919	+	0.396140i	−0.372405	+	0.928070i	$0.621467\pi$
$32$	4.44214	−	3.50248i	0.785268	−	0.619156i
$33$	2.56743	+	2.36854i	0.446931	+	0.412311i
$34$	2.36847	−	4.38971i	0.406189	−	0.752828i
$35$	−0.560859	+	1.55410i	−0.0948025	+	0.262690i
$36$	2.04390	+	5.64114i	0.340650	+	0.940190i
$37$	−0.994956	−	0.722878i	−0.163570	−	0.118840i	0.502989	−	0.864293i	$-0.332234\pi$
$37$	−0.994956	−	0.722878i	−0.163570	−	0.118840i	−0.666559	+	0.745452i	$0.732234\pi$
$38$	−1.99780	+	3.70271i	−0.324086	+	0.600659i
$39$	−3.43225	+	7.46475i	−0.549599	+	1.19532i
$40$	2.27771	+	5.90017i	0.360138	+	0.932899i
$41$	−1.02181	+	1.40641i	−0.159581	+	0.219644i	−0.881319	−	0.472522i	$-0.843344\pi$
$41$	−1.02181	+	1.40641i	−0.159581	+	0.219644i	0.721738	+	0.692166i	$0.243344\pi$
$42$	1.03920	−	1.48183i	0.160351	−	0.228651i
$43$		−	2.44596i		−	0.373005i	−0.982455	−	0.186502i	$-0.940285\pi$
$43$		−	2.44596i		−	0.373005i	0.982455	−	0.186502i	$-0.0597152\pi$
$44$	−2.21458	−	3.37114i	−0.333860	−	0.508218i
$45$	−6.70036	+	0.324255i	−0.998831	+	0.0483371i
$46$	0.318363	−	1.74335i	0.0469400	−	0.257042i
$47$	3.13833	−	9.65878i	0.457772	−	1.40888i	−0.410077	−	0.912051i	$-0.634498\pi$
$47$	3.13833	−	9.65878i	0.457772	−	1.40888i	0.867849	−	0.496827i	$-0.165502\pi$
$48$	−0.713488	−	6.89137i	−0.102983	−	0.994683i
$49$	6.45404			0.922006
$50$	−7.05416	+	0.488673i	−0.997609	+	0.0691088i
$51$	−2.99027	−	5.32701i	−0.418722	−	0.745930i
$52$	5.93146	−	7.40416i	0.822546	−	1.02677i
$53$	11.6976	+	3.80078i	1.60679	+	0.522077i	0.968773	−	0.247948i	$-0.0797562\pi$
$53$	11.6976	+	3.80078i	1.60679	+	0.522077i	0.638014	+	0.770025i	$0.279756\pi$
$54$	7.17630	+	1.58137i	0.976571	+	0.215198i
$55$	4.33147	−	1.25480i	0.584055	−	0.169197i
$56$	−1.57839	+	1.36979i	−0.210921	+	0.183046i
$57$	2.52229	+	4.49332i	0.334086	+	0.595155i
$58$	9.71600	−	4.66575i	1.27577	−	0.612642i
$59$	3.97523	+	2.88818i	0.517531	+	0.376009i	0.815673	−	0.578513i	$-0.196367\pi$
$59$	3.97523	+	2.88818i	0.517531	+	0.376009i	−0.298142	+	0.954522i	$0.596367\pi$
$60$	7.59753	+	1.50916i	0.980837	+	0.194832i
$61$	5.09556	−	3.70214i	0.652419	−	0.474010i	−0.211675	−	0.977340i	$-0.567892\pi$
$61$	5.09556	−	3.70214i	0.652419	−	0.474010i	0.864094	+	0.503330i	$0.167892\pi$
$62$	4.79305	−	8.88341i	0.608718	−	1.12819i
$63$	−0.852377	−	2.04623i	−0.107389	−	0.257801i
$64$	−1.12645	+	7.92030i	−0.140807	+	0.990037i
$65$	5.95517	+	8.77728i	0.738648	+	1.08869i
$66$	−4.93928	+	0.0826142i	−0.607984	+	0.0101691i
$67$	−8.81266	+	2.86341i	−1.07664	+	0.349821i	−0.793070	−	0.609131i	$-0.791518\pi$
$67$	−8.81266	+	2.86341i	−1.07664	+	0.349821i	−0.283569	+	0.958952i	$0.591518\pi$
$68$	1.86157	+	6.80389i	0.225748	+	0.825092i
$69$	−1.59529	−	1.47172i	−0.192051	−	0.177174i
$70$	−0.943167	−	2.13775i	−0.112730	−	0.255510i
$71$	4.32943	−	13.3246i	0.513808	−	1.58134i	−0.271631	−	0.962401i	$-0.587563\pi$
$71$	4.32943	−	13.3246i	0.513808	−	1.58134i	0.785440	−	0.618938i	$-0.212437\pi$
$72$	−7.59822	−	3.77718i	−0.895459	−	0.445145i
$73$	−4.33209	+	3.14745i	−0.507033	+	0.368381i	−0.811697	−	0.584079i	$-0.801456\pi$
$73$	−4.33209	+	3.14745i	−0.507033	+	0.368381i	0.304664	+	0.952460i	$0.401456\pi$
$74$	1.72376	−	0.231558i	0.200383	−	0.0269181i
$75$	−4.11647	+	7.61936i	−0.475329	+	0.879808i
$76$	−1.57023	−	5.73907i	−0.180118	−	0.658316i
$77$	0.875884	+	1.20555i	0.0998162	+	0.137385i
$78$	−3.77483	−	10.9889i	−0.427415	−	1.24425i
$79$	14.7649	+	4.79739i	1.66118	+	0.539749i	0.981118	−	0.193410i	$-0.0619546\pi$
$79$	14.7649	+	4.79739i	1.66118	+	0.539749i	0.680058	+	0.733158i	$0.261955\pi$
$80$	−8.09033	−	3.81399i	−0.904527	−	0.426417i
$81$	6.33844	−	6.38938i	0.704271	−	0.709931i
$82$	−0.327316	−	2.43660i	−0.0361460	−	0.269078i
$83$	0.885035	+	2.72386i	0.0971453	+	0.298982i	0.987807	−	0.155684i	$-0.0497583\pi$
$83$	0.885035	+	2.72386i	0.0971453	+	0.298982i	−0.890662	+	0.454667i	$0.849758\pi$
$84$	0.383152	+	2.53074i	0.0418053	+	0.276127i
$85$	−7.88248	−	0.253784i	−0.854975	−	0.0275267i
$86$	2.38769	+	2.50286i	0.257471	+	0.269891i
$87$	1.53844	−	13.1106i	0.164938	−	1.40560i
$88$	5.55693	+	1.28775i	0.592371	+	0.137274i
$89$	−7.36821	−	10.1415i	−0.781029	−	1.07499i	−0.995168	−	0.0981907i	$-0.968694\pi$
$89$	−7.36821	−	10.1415i	−0.781029	−	1.07499i	0.214139	−	0.976803i	$-0.431306\pi$
$90$	6.53973	−	6.87255i	0.689348	−	0.724431i
$91$	−2.06014	+	2.83555i	−0.215962	+	0.297246i
$92$	1.37605	+	2.09469i	0.143463	+	0.218386i
$93$	−6.05139	−	10.7802i	−0.627500	−	1.11786i
$94$	6.21735	+	12.9471i	0.641271	+	1.33539i
$95$	6.64886	+	0.214066i	0.682159	+	0.0219627i
$96$	7.45730	+	6.35521i	0.761107	+	0.648626i
$97$	2.66343	−	8.19720i	0.270430	−	0.832299i	−0.719962	−	0.694013i	$-0.755841\pi$
$97$	2.66343	−	8.19720i	0.270430	−	0.832299i	0.990392	−	0.138286i	$-0.0441592\pi$
$98$	−6.60421	+	6.30030i	−0.667126	+	0.636427i
$99$	−3.15090	+	5.16497i	−0.316677	+	0.519099i
$100$	6.74126	−	7.38617i	0.674126	−	0.738617i
$101$		−	17.6364i		−	1.75489i	−0.479681	−	0.877443i	$-0.659247\pi$
$101$		−	17.6364i		−	1.75489i	0.479681	−	0.877443i	$-0.340753\pi$
$102$	8.25996	+	2.53191i	0.817858	+	0.250696i
$103$	5.21717	+	1.69516i	0.514063	+	0.167029i	0.554549	−	0.832151i	$-0.312891\pi$
$103$	5.21717	+	1.69516i	0.514063	+	0.167029i	−0.0404864	+	0.999180i	$0.512891\pi$
$104$	1.15832	+	13.3666i	0.113582	+	1.31070i
$105$	−2.83000	−	0.424801i	−0.276179	−	0.0414563i
$106$	−15.6800	+	7.52973i	−1.52298	+	0.731352i
$107$	6.48954			0.627367			0.313684	−	0.949528i	$-0.398437\pi$
$107$	6.48954			0.627367			0.313684	+	0.949528i	$0.398437\pi$
$108$	−8.88697	+	5.38719i	−0.855149	+	0.518382i
$109$	−6.74713	−	4.90208i	−0.646258	−	0.469534i	0.215736	−	0.976452i	$-0.430785\pi$
$109$	−6.74713	−	4.90208i	−0.646258	−	0.469534i	−0.861994	+	0.506918i	$0.830785\pi$
$110$	−3.20734	+	5.51228i	−0.305808	+	0.525575i
$111$	0.889865	−	1.93536i	0.0844623	−	0.183696i
$112$	0.277955	−	2.94245i	0.0262642	−	0.278036i
$113$	−2.26858	+	3.12244i	−0.213410	+	0.293734i	−0.902280	−	0.431152i	$-0.858107\pi$
$113$	−2.26858	+	3.12244i	−0.213410	+	0.293734i	0.688869	+	0.724886i	$0.258107\pi$
$114$	−6.96726	−	2.13566i	−0.652544	−	0.200023i
$115$	−2.69140	+	0.779680i	−0.250974	+	0.0727055i
$116$	−5.38745	+	14.2589i	−0.500212	+	1.32390i
$117$	−13.8440	−	3.29436i	−1.27988	−	0.304564i
$118$	−6.88710	+	0.925165i	−0.634009	+	0.0851684i
$119$	−0.805311	−	2.47849i	−0.0738228	−	0.227203i
$120$	−9.24751	+	5.87227i	−0.844178	+	0.536063i
$121$	−2.14234	+	6.59346i	−0.194759	+	0.599405i
$122$	−1.60016	+	8.76245i	−0.144872	+	0.793315i
$123$	−2.73570	−	1.25786i	−0.246670	−	0.113417i
$124$	3.76724	+	13.7690i	0.338308	+	1.23649i
$125$	5.66904	+	9.63649i	0.507055	+	0.861914i
$126$	2.86969	+	1.26177i	0.255653	+	0.112407i
$127$	−1.06653	−	1.46796i	−0.0946396	−	0.130260i	0.759071	−	0.651008i	$-0.225653\pi$
$127$	−1.06653	−	1.46796i	−0.0946396	−	0.130260i	−0.853711	+	0.520747i	$0.825653\pi$
$128$	−6.57897	−	9.20420i	−0.581504	−	0.813544i
$129$	4.15429	−	0.830661i	0.365765	−	0.0731356i
$130$	−14.6619	−	3.16818i	−1.28594	−	0.277868i
$131$	5.48334	+	16.8760i	0.479082	+	1.47446i	0.840373	+	0.542009i	$0.182336\pi$
$131$	5.48334	+	16.8760i	0.479082	+	1.47446i	−0.361291	+	0.932453i	$0.617664\pi$
$132$	4.97356	−	4.90616i	0.432893	−	0.427027i
$133$	0.679279	+	2.09061i	0.0589010	+	0.181278i
$134$	6.22251	−	11.5328i	0.537543	−	0.996279i
$135$	−2.82621	−	11.2700i	−0.243241	−	0.969966i
$136$	−8.54669	−	5.14497i	−0.732872	−	0.441177i
$137$	−2.75560	+	3.79276i	−0.235427	+	0.324037i	−0.910341	−	0.413859i	$-0.864181\pi$
$137$	−2.75560	+	3.79276i	−0.235427	+	0.324037i	0.674914	+	0.737896i	$0.264181\pi$
$138$	3.06907	−	0.0513331i	0.261257	−	0.00436976i
$139$	−12.4665	−	17.1586i	−1.05739	−	1.45538i	−0.882219	−	0.470840i	$-0.843951\pi$
$139$	−12.4665	−	17.1586i	−1.05739	−	1.45538i	−0.175175	−	0.984537i	$-0.556049\pi$
$140$	3.05194	+	1.26679i	0.257936	+	0.107063i
$141$	17.4706	+	2.05006i	1.47129	+	0.172646i
$142$	8.57704	+	17.8609i	0.719769	+	1.49886i
$143$	9.56642			0.799984
$144$	11.4622	−	3.55216i	0.955184	−	0.296013i
$145$	−13.4577	−	10.4554i	−1.11760	−	0.868275i
$146$	1.36041	−	7.44957i	0.112588	−	0.616531i
$147$	2.19183	+	10.9617i	0.180779	+	0.904110i
$148$	−1.53783	+	1.91965i	−0.126409	+	0.157794i
$149$		−	4.19467i		−	0.343641i	−0.985128	−	0.171820i	$-0.945035\pi$
$149$		−	4.19467i		−	0.343641i	0.985128	−	0.171820i	$-0.0549649\pi$
$150$	−3.22561	−	11.8151i	−0.263370	−	0.964695i
$151$			1.91066i			0.155487i	0.996973	+	0.0777437i	$0.0247716\pi$
$151$			1.91066i			0.155487i	−0.996973	+	0.0777437i	$0.975228\pi$
$152$	7.20912	+	4.33977i	0.584737	+	0.352002i
$153$	8.03204	−	6.88785i	0.649352	−	0.556850i
$154$	−2.07310	−	0.378580i	−0.167055	−	0.0305069i
$155$	−15.9517	−	0.513581i	−1.28127	−	0.0412518i
$156$	14.5898	+	7.55968i	1.16812	+	0.605259i
$157$	−20.1739			−1.61006			−0.805028	−	0.593237i	$-0.797850\pi$
$157$	−20.1739			−1.61006			−0.805028	+	0.593237i	$0.797850\pi$
$158$	−19.7915	+	9.50413i	−1.57453	+	0.756108i
$159$	−2.48279	+	21.1583i	−0.196898	+	1.67796i
$160$	12.0017	−	3.99488i	0.948818	−	0.315823i
$161$	−0.544239	−	0.749080i	−0.0428920	−	0.0590358i
$162$	−0.248739	+	12.7255i	−0.0195428	+	0.999809i
$163$	0.834692	−	1.14885i	0.0653781	−	0.0899853i	−0.775076	−	0.631868i	$-0.782288\pi$
$163$	0.834692	−	1.14885i	0.0653781	−	0.0899853i	0.840454	+	0.541883i	$0.182288\pi$
$164$	2.71349	+	2.17378i	0.211888	+	0.169743i
$165$	3.60218	+	6.93056i	0.280429	+	0.539544i
$166$	−3.56460	−	1.92328i	−0.276667	−	0.149276i
$167$	3.66202	+	11.2705i	0.283376	+	0.872140i	0.986881	+	0.161450i	$0.0516171\pi$
$167$	3.66202	+	11.2705i	0.283376	+	0.872140i	−0.703505	+	0.710690i	$0.748383\pi$
$168$	−2.86253	−	2.21560i	−0.220849	−	0.170937i
$169$	2.93595	+	9.03593i	0.225842	+	0.695071i
$170$	8.31361	−	7.43502i	0.637625	−	0.570240i
$171$	−6.77501	+	5.80989i	−0.518098	+	0.444294i
$172$	−4.88649	−	0.230285i	−0.372591	−	0.0175591i
$173$	0.315397	+	0.434107i	0.0239792	+	0.0330046i	0.820838	−	0.571161i	$-0.193507\pi$
$173$	0.315397	+	0.434107i	0.0239792	+	0.0330046i	−0.796859	+	0.604165i	$0.793507\pi$
$174$	11.2241	+	14.9174i	0.850893	+	1.13089i
$175$	−2.35930	+	2.84299i	−0.178346	+	0.214910i
$176$	−6.94330	+	4.10685i	−0.523371	+	0.309566i
$177$	−3.55536	+	7.73250i	−0.267237	+	0.581211i
$178$	17.4395	+	3.18474i	1.30715	+	0.238706i
$179$	2.22699	−	6.85397i	0.166453	−	0.512290i	−0.832687	−	0.553743i	$-0.813199\pi$
$179$	2.22699	−	6.85397i	0.166453	−	0.512290i	0.999140	+	0.0414537i	$0.0131989\pi$
$180$	0.0169574	+	13.4164i	0.00126393	+	0.999999i
$181$	−3.38179	−	10.4081i	−0.251366	−	0.773626i	−0.994524	−	0.104509i	$-0.966673\pi$
$181$	−3.38179	−	10.4081i	−0.251366	−	0.773626i	0.743158	−	0.669116i	$-0.233327\pi$
$182$	−0.659923	−	4.91259i	−0.0489167	−	0.364145i
$183$	8.01831	+	7.39718i	0.592730	+	0.546815i
$184$	−3.45285	−	0.800155i	−0.254548	−	0.0589882i
$185$	−1.54397	−	2.27565i	−0.113515	−	0.167309i
$186$	16.7156	+	5.12380i	1.22565	+	0.375695i
$187$	−4.18091	+	5.75453i	−0.305738	+	0.420813i
$188$	−19.0007	−	7.17907i	−1.38577	−	0.523587i
$189$	3.18591	−	2.14261i	0.231741	−	0.155852i
$190$	−7.01252	+	6.27143i	−0.508742	+	0.454977i
$191$	−6.33074	−	4.59955i	−0.458076	−	0.332812i	0.334700	−	0.942325i	$-0.391365\pi$
$191$	−6.33074	−	4.59955i	−0.458076	−	0.332812i	−0.792776	+	0.609513i	$0.791365\pi$
$192$	−13.8346	+	0.776576i	−0.998428	+	0.0560446i
$193$	1.83318			0.131955			0.0659777	−	0.997821i	$-0.478983\pi$
$193$	1.83318			0.131955			0.0659777	+	0.997821i	$0.478983\pi$
$194$	5.27653	+	10.9879i	0.378833	+	0.788885i
$195$	−12.8852	+	13.0953i	−0.922728	+	0.937771i
$196$	0.607644	−	12.8938i	0.0434031	−	0.920984i
$197$	10.0262	+	3.25772i	0.714340	+	0.232103i	0.643567	−	0.765389i	$-0.277454\pi$
$197$	10.0262	+	3.25772i	0.714340	+	0.232103i	0.0707724	+	0.997492i	$0.477454\pi$
$198$	−1.81772	−	8.36098i	−0.129180	−	0.594189i
$199$		−	19.8686i		−	1.40845i	−0.709978	−	0.704223i	$-0.751295\pi$
$199$		−	19.8686i		−	1.40845i	0.709978	−	0.704223i	$-0.248705\pi$
$200$	0.312118	+	14.1387i	0.0220701	+	0.999756i
$201$	−7.85613	−	13.9953i	−0.554129	−	0.987150i
$202$	17.2163	+	18.0467i	1.21133	+	1.26976i
$203$	1.74017	−	5.35570i	0.122136	−	0.375897i
$204$	−10.9237	+	5.47238i	−0.764814	+	0.383143i
$205$	−3.21672	+	2.18247i	−0.224665	+	0.152430i
$206$	−6.99333	+	3.35829i	−0.487249	+	0.233983i
$207$	1.95784	−	3.20930i	0.136079	−	0.223062i
$208$	−14.2335	−	12.5469i	−0.986912	−	0.869969i
$209$	3.52659	−	4.85393i	0.243939	−	0.335754i
$210$	3.31052	−	2.32790i	0.228448	−	0.160640i
$211$	13.5197	+	18.6083i	0.930737	+	1.28105i	0.959571	+	0.281465i	$0.0908205\pi$
$211$	13.5197	+	18.6083i	0.930737	+	1.28105i	−0.0288343	+	0.999584i	$0.509180\pi$
$212$	8.69445	−	23.0114i	0.597137	−	1.58043i
$213$	24.1012	+	2.82812i	1.65139	+	0.193780i
$214$	−6.64053	+	6.33495i	−0.453937	+	0.433048i
$215$	1.85662	−	5.14456i	0.126621	−	0.350856i
$216$	3.83488	−	14.1878i	0.260931	−	0.965358i
$217$	−1.62970	−	5.01571i	−0.110631	−	0.340488i
$218$	11.6894	−	1.57028i	0.791708	−	0.106352i
$219$	−6.81692	−	6.28886i	−0.460645	−	0.424962i
$220$	−2.09901	−	8.77147i	−0.141515	−	0.591372i
$221$	−15.9114	−	5.16994i	−1.07032	−	0.347768i
$222$	0.978686	+	2.84905i	0.0656851	+	0.191216i
$223$	−11.1078	−	15.2886i	−0.743833	−	1.02380i	−0.998389	−	0.0567398i	$-0.981929\pi$
$223$	−11.1078	−	15.2886i	−0.743833	−	1.02380i	0.254556	−	0.967058i	$-0.418071\pi$
$224$	2.58794	+	3.28225i	0.172914	+	0.219304i
$225$	−14.3389	−	4.40396i	−0.955929	−	0.293598i
$226$	−0.726691	−	5.40963i	−0.0483388	−	0.359843i
$227$	−18.1376	+	13.1778i	−1.20384	+	0.874639i	−0.994657	−	0.103238i	$-0.967080\pi$
$227$	−18.1376	+	13.1778i	−1.20384	+	0.874639i	−0.209181	+	0.977877i	$0.567080\pi$
$228$	9.21415	−	4.61594i	0.610222	−	0.305698i
$229$	6.33083	−	19.4843i	0.418353	−	1.28756i	−0.490864	−	0.871236i	$-0.663319\pi$
$229$	6.33083	−	19.4843i	0.418353	−	1.28756i	0.909217	−	0.416322i	$-0.136681\pi$
$230$	1.99291	−	3.42511i	0.131409	−	0.225845i
$231$	−1.75009	+	1.89704i	−0.115147	+	0.124816i
$232$	−8.40639	−	19.8497i	−0.551907	−	1.30320i
$233$	5.52727	−	1.79592i	0.362104	−	0.117655i	−0.122314	−	0.992491i	$-0.539032\pi$
$233$	5.52727	−	1.79592i	0.362104	−	0.117655i	0.484418	+	0.874837i	$0.339032\pi$
$234$	17.3820	−	10.1432i	1.13629	−	0.663081i
$235$	13.9324	−	17.9330i	0.908849	−	1.16982i
$236$	6.14422	−	7.66974i	0.399954	−	0.499257i
$237$	−3.13381	+	26.7063i	−0.203563	+	1.73476i
$238$	3.24350	+	1.75003i	0.210245	+	0.113438i
$239$	9.85377	−	7.15919i	0.637388	−	0.463089i	−0.221564	−	0.975146i	$-0.571116\pi$
$239$	9.85377	−	7.15919i	0.637388	−	0.463089i	0.858952	+	0.512057i	$0.171116\pi$
$240$	3.73028	−	15.0361i	0.240788	−	0.970578i
$241$	9.23220	+	6.70758i	0.594698	+	0.432074i	0.843993	−	0.536354i	$-0.180199\pi$
$241$	9.23220	+	6.70758i	0.594698	+	0.432074i	−0.249295	+	0.968428i	$0.580199\pi$
$242$	−4.24421	−	8.83818i	−0.272828	−	0.568140i
$243$	13.0045	+	8.59554i	0.834238	+	0.551404i
$244$	−6.91632	−	10.5284i	−0.442772	−	0.674010i
$245$	13.5747	+	4.89900i	0.867258	+	0.312985i
$246$	4.02725	−	1.38341i	0.256768	−	0.0882029i
$247$	13.4213	+	4.36084i	0.853975	+	0.277473i
$248$	−17.2959	−	10.4118i	−1.09829	−	0.661152i
$249$	−4.32572	+	2.42821i	−0.274132	+	0.153882i
$250$	−15.2079	−	4.32670i	−0.961831	−	0.273645i
$251$	−24.5997			−1.55272			−0.776358	−	0.630292i	$-0.782935\pi$
$251$	−24.5997			−1.55272			−0.776358	+	0.630292i	$0.782935\pi$
$252$	−4.16817	+	1.51021i	−0.262570	+	0.0951345i
$253$	−0.780951	+	2.40352i	−0.0490979	+	0.151108i
$254$	2.52434	+	0.460985i	0.158391	+	0.0289248i
$255$	−2.24590	−	13.4740i	−0.140644	−	0.843777i
$256$	15.7170	+	2.99610i	0.982311	+	0.187256i
$257$		−	2.38653i		−	0.148868i	−0.997226	−	0.0744339i	$-0.976285\pi$
$257$		−	2.38653i		−	0.148868i	0.997226	−	0.0744339i	$-0.0237150\pi$
$258$	−3.44007	+	4.90532i	−0.214169	+	0.305392i
$259$	0.534126	−	0.735161i	0.0331890	−	0.0456807i
$260$	18.0958	−	11.0708i	1.12225	−	0.686580i
$261$	22.7899	−	1.83950i	1.41066	−	0.113862i
$262$	−22.0849	−	11.9159i	−1.36441	−	0.736168i
$263$	−12.4762	−	9.06451i	−0.769318	−	0.558942i	0.132436	−	0.991191i	$-0.457720\pi$
$263$	−12.4762	−	9.06451i	−0.769318	−	0.558942i	−0.901754	+	0.432250i	$0.857720\pi$
$264$	−0.299985	+	9.87540i	−0.0184628	+	0.607789i
$265$	21.7184	+	16.8733i	1.33415	+	1.03652i
$266$	−2.73589	−	1.47615i	−0.167748	−	0.0905085i
$267$	14.7223	−	15.9585i	0.900990	−	0.976644i
$268$	4.89076	+	17.8754i	0.298751	+	1.09191i
$269$	−21.7376	+	7.06297i	−1.32536	+	0.430637i	−0.884334	−	0.466855i	$-0.845387\pi$
$269$	−21.7376	+	7.06297i	−1.32536	+	0.430637i	−0.441031	+	0.897492i	$0.645387\pi$
$270$	13.8935	+	8.77332i	0.845531	+	0.533927i
$271$	16.1471	+	5.24650i	0.980865	+	0.318702i	0.755194	−	0.655501i	$-0.227543\pi$
$271$	16.1471	+	5.24650i	0.980865	+	0.318702i	0.225671	+	0.974204i	$0.427543\pi$
$272$	13.7680	−	3.07842i	0.834805	−	0.186657i
$273$	−5.51562	−	2.53605i	−0.333820	−	0.153488i
$274$	−0.882696	−	6.57096i	−0.0533256	−	0.396966i
$275$	10.0628	+	0.648635i	0.606810	+	0.0391142i
$276$	−3.09037	+	3.04849i	−0.186018	+	0.183498i
$277$	−12.5971	+	9.15236i	−0.756889	+	0.549912i	−0.897955	−	0.440088i	$-0.854947\pi$
$277$	−12.5971	+	9.15236i	−0.756889	+	0.549912i	0.141065	+	0.990000i	$0.454947\pi$
$278$	29.5064	+	5.38835i	1.76968	+	0.323172i
$279$	16.2544	−	13.9389i	0.973124	−	0.834500i
$280$	−4.35957	+	1.68298i	−0.260534	+	0.100577i
$281$	−5.62578	+	1.82793i	−0.335606	+	0.109045i	−0.471972	−	0.881614i	$-0.656458\pi$
$281$	−5.62578	+	1.82793i	−0.335606	+	0.109045i	0.136366	+	0.990659i	$0.456458\pi$
$282$	−19.8783	+	14.9566i	−1.18373	+	0.890656i
$283$	−29.2694	+	9.51022i	−1.73989	+	0.565324i	−0.994819	−	0.101664i	$-0.967583\pi$
$283$	−29.2694	+	9.51022i	−1.73989	+	0.565324i	−0.745069	+	0.666988i	$0.767583\pi$
$284$	−26.2121	−	9.90376i	−1.55540	−	0.587680i
$285$	1.89441	+	11.3653i	0.112215	+	0.673224i
$286$	−9.78900	+	9.33854i	−0.578836	+	0.552199i
$287$	−1.03918	−	0.755007i	−0.0613407	−	0.0445666i
$288$	−8.26135	+	14.8240i	−0.486805	+	0.873511i
$289$	−3.68946	+	2.68055i	−0.217027	+	0.157680i
$290$	23.9771	−	2.43841i	1.40799	−	0.143188i
$291$	14.8269	+	1.73984i	0.869168	+	0.101991i
$292$	5.88005	+	8.95090i	0.344104	+	0.523812i
$293$			12.0125i			0.701776i	0.936417	+	0.350888i	$0.114120\pi$
$293$			12.0125i			0.701776i	−0.936417	+	0.350888i	$0.885880\pi$
$294$	−12.9435	−	9.07717i	−0.754878	−	0.529391i
$295$	6.16878	+	9.09211i	0.359160	+	0.529363i
$296$	−0.300312	−	3.46551i	−0.0174553	−	0.201428i
$297$	−9.84240	−	3.59753i	−0.571114	−	0.208750i
$298$	4.09475	+	4.29227i	0.237202	+	0.248644i
$299$	−5.94419			−0.343761
$300$	14.8343	+	8.94117i	0.856457	+	0.516219i
$301$	1.80729			0.104170
$302$	−1.86515	−	1.95511i	−0.107327	−	0.112504i
$303$	29.9542	−	5.98942i	1.72082	−	0.344083i
$304$	−11.6132	+	2.59665i	−0.666065	+	0.148928i
$305$	13.5276	−	3.91885i	0.774587	−	0.224392i
$306$	−1.49514	+	14.8888i	−0.0854715	+	0.851137i
$307$			24.1269i			1.37700i	0.725239	+	0.688498i	$0.241729\pi$
$307$			24.1269i			1.37700i	−0.725239	+	0.688498i	$0.758271\pi$
$308$	2.49089	−	1.63632i	0.141932	−	0.0932382i
$309$	−1.10733	+	9.43668i	−0.0629939	+	0.536834i
$310$	16.8242	−	15.0462i	0.955550	−	0.854566i
$311$	15.0379	−	10.9257i	0.852720	−	0.619537i	−0.0731745	−	0.997319i	$-0.523313\pi$
$311$	15.0379	−	10.9257i	0.852720	−	0.619537i	0.925895	+	0.377782i	$0.123313\pi$
$312$	−22.3089	+	6.50669i	−1.26299	+	0.368369i
$313$	−1.95261	−	1.41866i	−0.110368	−	0.0801872i	0.531232	−	0.847226i	$-0.321729\pi$
$313$	−1.95261	−	1.41866i	−0.110368	−	0.0801872i	−0.641600	+	0.767039i	$0.721729\pi$
$314$	20.6433	−	19.6934i	1.16497	−	1.11136i
$315$	−0.239588	−	4.95082i	−0.0134993	−	0.278947i
$316$	10.9742	−	29.0453i	0.617350	−	1.63393i
$317$	11.1398	−	3.61953i	0.625671	−	0.203293i	0.0210145	−	0.999779i	$-0.493310\pi$
$317$	11.1398	−	3.61953i	0.625671	−	0.203293i	0.604657	+	0.796486i	$0.293310\pi$
$318$	−18.1137	−	24.0742i	−1.01577	−	1.35002i
$319$	−14.6180	+	4.74967i	−0.818449	+	0.265930i
$320$	−8.38123	+	15.8036i	−0.468525	+	0.883450i
$321$	2.20388	+	11.0220i	0.123009	+	0.615190i
$322$	1.28814	+	0.235235i	0.0717851	+	0.0131091i
$323$	−8.48882	+	6.16749i	−0.472331	+	0.343168i
$324$	−12.1678	−	13.2644i	−0.675991	−	0.736910i
$325$	5.86299	+	22.9815i	0.325220	+	1.27478i
$326$	0.267376	+	1.99039i	0.0148086	+	0.110238i
$327$	6.03448	−	13.1243i	0.333707	−	0.725776i
$328$	−4.89862	+	0.424502i	−0.270481	+	0.0234392i
$329$	7.13676	+	2.31887i	0.393462	+	0.127844i
$330$	−10.4515	−	3.57544i	−0.575334	−	0.196822i
$331$	10.7215	−	3.48361i	0.589305	−	0.191477i	0.000840117	−	1.00000i	$-0.499733\pi$
$331$	10.7215	−	3.48361i	0.589305	−	0.191477i	0.588465	+	0.808523i	$0.299733\pi$
$332$	5.52500	−	1.51166i	0.303224	−	0.0829631i
$333$	3.58927	+	0.854116i	0.196691	+	0.0468053i
$334$	−14.7493	−	7.95798i	−0.807045	−	0.435441i
$335$	−20.7091	−	0.666749i	−1.13146	−	0.0364284i
$336$	5.09195	−	0.527187i	0.277789	−	0.0287604i
$337$	27.8332	+	20.2220i	1.51617	+	1.10156i	0.963344	+	0.268269i	$0.0864517\pi$
$337$	27.8332	+	20.2220i	1.51617	+	1.10156i	0.552829	+	0.833295i	$0.313548\pi$
$338$	−11.8249	−	6.38015i	−0.643192	−	0.347034i
$339$	−6.07367	−	2.79263i	−0.329876	−	0.151675i
$340$	−1.24913	+	15.7236i	−0.0677438	+	0.852731i
$341$	−8.46087	+	11.6454i	−0.458182	+	0.630633i
$342$	1.26115	−	12.5587i	0.0681951	−	0.679097i
$343$			9.94103i			0.536765i
$344$	5.22498	−	4.53444i	0.281712	−	0.244481i
$345$	−2.23825	−	4.30637i	−0.120503	−	0.231847i
$346$	−0.746502	−	0.136323i	−0.0401322	−	0.00732878i
$347$	−1.05592	+	3.24978i	−0.0566846	+	0.174457i	−0.975390	−	0.220486i	$-0.929236\pi$
$347$	−1.05592	+	3.24978i	−0.0566846	+	0.174457i	0.918706	+	0.394943i	$0.129236\pi$
$348$	−26.0473	−	4.30783i	−1.39628	−	0.230924i
$349$	8.80176			0.471147			0.235574	−	0.971857i	$-0.424303\pi$
$349$	8.80176			0.471147			0.235574	+	0.971857i	$0.424303\pi$
$350$	−0.361075	−	5.21224i	−0.0193003	−	0.278606i
$351$	0.893749	−	24.6318i	0.0477048	−	1.31475i
$352$	3.09582	−	10.9803i	0.165008	−	0.585252i
$353$	−6.16148	−	2.00199i	−0.327943	−	0.106555i	0.140418	−	0.990092i	$-0.455155\pi$
$353$	−6.16148	−	2.00199i	−0.327943	−	0.106555i	−0.468361	+	0.883537i	$0.655155\pi$
$354$	−3.91023	−	11.3831i	−0.207826	−	0.605004i
$355$	19.2202	−	24.7392i	1.02010	−	1.31302i
$356$	−20.9542	+	13.7653i	−1.11057	+	0.729558i
$357$	3.93606	−	2.20948i	0.208318	−	0.116938i
$358$	4.41190	+	9.18738i	0.233176	+	0.485568i
$359$	−16.1179	−	11.7103i	−0.850668	−	0.618046i	0.0746622	−	0.997209i	$-0.476212\pi$
$359$	−16.1179	−	11.7103i	−0.850668	−	0.618046i	−0.925330	+	0.379162i	$0.876212\pi$
$360$	−13.1142	−	13.7120i	−0.691177	−	0.722686i
$361$	−8.21101	+	5.96565i	−0.432159	+	0.313982i
$362$	13.6206	+	7.34900i	0.715883	+	0.386255i
$363$	−11.9261	−	1.39945i	−0.625957	−	0.0734520i
$364$	5.47084	+	4.38269i	0.286750	+	0.229715i
$365$	−11.5007	+	3.33169i	−0.601976	+	0.174388i
$366$	−15.4258	+	0.258012i	−0.806322	+	0.0134865i
$367$	−18.0898	+	5.87772i	−0.944278	+	0.306814i	−0.740388	−	0.672179i	$-0.765358\pi$
$367$	−18.0898	+	5.87772i	−0.944278	+	0.306814i	−0.203890	+	0.978994i	$0.565358\pi$
$368$	4.31428	−	2.55183i	0.224898	−	0.133023i
$369$	1.20733	−	5.07357i	0.0628508	−	0.264120i
$370$	3.80134	+	0.821403i	0.197622	+	0.0427027i
$371$	−2.80835	+	8.64321i	−0.145802	+	0.448733i
$372$	−22.1063	+	11.0744i	−1.14616	+	0.574182i
$373$	0.455607	−	0.331018i	0.0235904	−	0.0171395i	−0.575928	−	0.817501i	$-0.695359\pi$
$373$	0.455607	−	0.331018i	0.0235904	−	0.0171395i	0.599518	+	0.800361i	$0.295359\pi$
$374$	−1.33926	−	9.96973i	−0.0692517	−	0.515522i
$375$	−14.4417	+	12.9011i	−0.745765	+	0.666209i
$376$	26.4508	−	11.2020i	1.36410	−	0.577697i
$377$	−21.2496	−	29.2476i	−1.09441	−	1.50633i
$378$	−1.16846	+	5.30248i	−0.0600989	+	0.272730i
$379$	−14.3712	−	4.66948i	−0.738199	−	0.239855i	−0.0843032	−	0.996440i	$-0.526866\pi$
$379$	−14.3712	−	4.66948i	−0.738199	−	0.239855i	−0.653896	+	0.756585i	$0.726866\pi$
$380$	1.05364	−	13.2628i	0.0540508	−	0.680368i
$381$	2.13103	−	2.30996i	0.109176	−	0.118343i
$382$	10.9680	−	1.47337i	0.561173	−	0.0753840i
$383$	2.52352	+	7.76661i	0.128946	+	0.396855i	0.994599	−	0.103789i	$-0.0330966\pi$
$383$	2.52352	+	7.76661i	0.128946	+	0.396855i	−0.865653	+	0.500644i	$0.833097\pi$
$384$	13.3984	−	14.2997i	0.683736	−	0.729729i
$385$	0.927154	+	3.20047i	0.0472522	+	0.163111i
$386$	−1.87584	+	1.78951i	−0.0954775	+	0.0910839i
$387$	2.82164	+	6.77367i	0.143432	+	0.344325i
$388$	−16.1255	−	6.09272i	−0.818646	−	0.309311i
$389$	2.11053	+	2.90489i	0.107008	+	0.147284i	0.859162	−	0.511703i	$-0.170985\pi$
$389$	2.11053	+	2.90489i	0.107008	+	0.147284i	−0.752154	+	0.658987i	$0.770985\pi$
$390$	0.401667	−	25.9782i	0.0203392	−	1.31546i
$391$	2.59785	−	3.57563i	0.131379	−	0.180827i
$392$	11.9649	+	13.7869i	0.604316	+	0.696346i
$393$	−26.8005	+	15.0443i	−1.35191	+	0.758883i
$394$	−13.4396	+	6.45388i	−0.677079	+	0.325142i
$395$	27.4133	+	21.2977i	1.37931	+	1.07160i
$396$	10.0218	+	6.78109i	0.503616	+	0.340762i
$397$	7.18092	−	22.1006i	0.360400	−	1.10920i	−0.592412	−	0.805635i	$-0.701824\pi$
$397$	7.18092	−	22.1006i	0.360400	−	1.10920i	0.952812	−	0.303561i	$-0.0981758\pi$
$398$	19.3953	+	20.3309i	0.972199	+	1.01909i
$399$	−3.32006	+	1.86369i	−0.166211	+	0.0933012i
$400$	−14.1213	−	14.1630i	−0.706064	−	0.708148i
$401$			19.9923i			0.998366i	0.866497	+	0.499183i	$0.166366\pi$
$401$			19.9923i			0.998366i	−0.866497	+	0.499183i	$0.833634\pi$
$402$	21.7008	+	6.65190i	1.08234	+	0.331767i
$403$	−32.1998	−	10.4624i	−1.60399	−	0.521168i
$404$	−35.2337	−	1.66045i	−1.75294	−	0.0826106i
$405$	18.1815	−	8.62747i	0.903446	−	0.428702i
$406$	3.44746	+	7.17903i	0.171095	+	0.356289i
$407$	−2.48025			−0.122941
$408$	5.83587	−	16.2632i	0.288919	−	0.805149i
$409$	0.968333	+	0.703535i	0.0478810	+	0.0347876i	0.611468	−	0.791269i	$-0.290579\pi$
$409$	0.968333	+	0.703535i	0.0478810	+	0.0347876i	−0.563587	+	0.826056i	$0.690579\pi$
$410$	1.16108	−	5.37334i	0.0573418	−	0.265370i
$411$	−7.37755	−	3.39215i	−0.363908	−	0.167322i
$412$	3.87775	−	10.2632i	0.191043	−	0.505630i
$413$	−2.13404	+	2.93725i	−0.105009	+	0.144533i
$414$	1.12946	+	5.19517i	0.0555099	+	0.255329i
$415$	−0.206082	+	6.40086i	−0.0101162	+	0.314206i
$416$	26.8126	−	1.05561i	1.31460	−	0.0517555i
$417$	24.9091	−	27.0006i	1.21980	−	1.32223i
$418$	1.12967	+	8.40945i	0.0552538	+	0.411320i
$419$	7.01031	+	21.5755i	0.342476	+	1.05403i	0.962921	+	0.269783i	$0.0869519\pi$
$419$	7.01031	+	21.5755i	0.342476	+	1.05403i	−0.620445	+	0.784250i	$0.713048\pi$
$420$	−1.11510	+	5.61372i	−0.0544114	+	0.273922i
$421$	−5.11841	+	15.7529i	−0.249456	+	0.767747i	0.745415	+	0.666600i	$0.232251\pi$
$421$	−5.11841	+	15.7529i	−0.249456	+	0.767747i	−0.994871	+	0.101147i	$0.967749\pi$
$422$	−31.9993	−	5.84359i	−1.55770	−	0.284462i
$423$	2.45123	+	30.3688i	0.119183	+	1.47658i
$424$	13.5665	+	32.0341i	0.658848	+	1.55572i
$425$	−16.3865	−	6.51704i	−0.794862	−	0.316123i
$426$	−27.4227	+	20.6332i	−1.32864	+	0.999681i
$427$	2.73547	+	3.76505i	0.132378	+	0.182203i
$428$	0.610985	−	12.9647i	0.0295331	−	0.626672i
$429$	3.24881	+	16.2479i	0.156854	+	0.784456i
$430$	3.12219	+	7.07665i	0.150565	+	0.341266i
$431$	11.0015	+	33.8590i	0.529921	+	1.63093i	0.754374	+	0.656445i	$0.227941\pi$
$431$	11.0015	+	33.8590i	0.529921	+	1.63093i	−0.224453	+	0.974485i	$0.572059\pi$
$432$	9.92573	+	18.2614i	0.477552	+	0.878604i
$433$	−6.69518	−	20.6056i	−0.321750	−	0.990244i	−0.972886	−	0.231284i	$-0.925707\pi$
$433$	−6.69518	−	20.6056i	−0.321750	−	0.990244i	0.651137	−	0.758961i	$-0.274293\pi$
$434$	6.56385	+	3.54152i	0.315075	+	0.169999i
$435$	13.1875	−	26.4076i	0.632292	−	1.26615i
$436$	−10.4285	+	13.0178i	−0.499436	+	0.623439i
$437$	−2.19128	+	3.01604i	−0.104823	+	0.144277i
$438$	13.1146	−	0.219354i	0.626639	−	0.0104811i
$439$	7.99755	+	11.0077i	0.381702	+	0.525368i	0.956035	−	0.293254i	$-0.0947382\pi$
$439$	7.99755	+	11.0077i	0.381702	+	0.525368i	−0.574332	+	0.818622i	$0.694738\pi$
$440$	10.7104	+	6.92655i	0.510597	+	0.330210i
$441$	−17.8734	+	7.44535i	−0.851115	+	0.354540i
$442$	21.3284	−	10.2422i	1.01449	−	0.487171i
$443$	−22.1217			−1.05104			−0.525518	−	0.850782i	$-0.676128\pi$
$443$	−22.1217			−1.05104			−0.525518	+	0.850782i	$0.676128\pi$
$444$	−3.78264	−	1.95997i	−0.179516	−	0.0930160i
$445$	−7.79952	−	26.9234i	−0.369733	−	1.27629i
$446$	26.2906	+	4.80108i	1.24490	+	0.227338i
$447$	7.12436	−	1.42453i	0.336971	−	0.0673782i
$448$	−5.85221	−	0.832323i	−0.276491	−	0.0393235i
$449$			1.26422i			0.0596623i	0.999555	+	0.0298312i	$0.00949696\pi$
$449$			1.26422i			0.0596623i	−0.999555	+	0.0298312i	$0.990503\pi$
$450$	18.9716	−	9.49094i	0.894330	−	0.447407i
$451$			3.50593i			0.165088i
$452$	6.02436	+	4.82611i	0.283362	+	0.227001i
$453$	−3.24512	+	0.648871i	−0.152469	+	0.0304866i
$454$	5.69578	−	31.1899i	0.267316	−	1.46382i
$455$	−6.48543	+	4.40021i	−0.304041	+	0.206285i
$456$	−4.92255	+	13.7180i	−0.230519	+	0.642404i
$457$	24.3254			1.13789			0.568946	−	0.822375i	$-0.307351\pi$
$457$	24.3254			1.13789			0.568946	+	0.822375i	$0.307351\pi$
$458$	12.5420	+	26.1177i	0.586051	+	1.22040i
$459$	14.4263	+	11.3027i	0.673361	+	0.527565i
$460$	1.30424	+	5.45024i	0.0608104	+	0.254119i
$461$	8.55950	+	11.7811i	0.398656	+	0.548702i	0.960406	−	0.278604i	$-0.0898718\pi$
$461$	8.55950	+	11.7811i	0.398656	+	0.548702i	−0.561750	+	0.827307i	$0.689872\pi$
$462$	−0.0610426	−	3.64958i	−0.00283996	−	0.169794i
$463$	−0.519225	+	0.714652i	−0.0241304	+	0.0332127i	−0.820912	−	0.571055i	$-0.806534\pi$
$463$	−0.519225	+	0.714652i	−0.0241304	+	0.0332127i	0.796781	+	0.604268i	$0.206534\pi$
$464$	27.9789	+	12.1054i	1.29889	+	0.561980i
$465$	−4.54501	−	27.2673i	−0.210770	−	1.26449i
$466$	−3.90273	+	7.23331i	−0.180791	+	0.335077i
$467$	−0.698061	−	2.14841i	−0.0323024	−	0.0994167i	0.933605	−	0.358303i	$-0.116645\pi$
$467$	−0.698061	−	2.14841i	−0.0323024	−	0.0994167i	−0.965908	+	0.258886i	$0.916645\pi$
$468$	−7.88482	+	27.3471i	−0.364476	+	1.26412i
$469$	−2.11574	−	6.51157i	−0.0976957	−	0.300676i
$470$	3.24931	+	31.9508i	0.149879	+	1.47378i
$471$	−6.85119	−	34.2641i	−0.315686	−	1.57880i
$472$	1.19986	+	13.8460i	0.0552282	+	0.637316i
$473$	−2.89946	−	3.99076i	−0.133317	−	0.183495i
$474$	−22.8634	−	30.3868i	−1.05015	−	1.39571i
$475$	13.8220	+	5.49712i	0.634197	+	0.252225i
$476$	−5.02731	+	1.37549i	−0.230426	+	0.0630454i
$477$	−36.7791	+	2.96864i	−1.68400	+	0.135925i
$478$	−3.09439	+	16.9448i	−0.141534	+	0.775037i
$479$	−6.91709	+	21.2886i	−0.316050	+	0.972702i	0.659270	+	0.751906i	$0.270865\pi$
$479$	−6.91709	+	21.2886i	−0.316050	+	0.972702i	−0.975320	+	0.220796i	$0.929135\pi$
$480$	10.8609	+	19.0274i	0.495729	+	0.868477i
$481$	−1.80272	−	5.54821i	−0.0821971	−	0.252977i
$482$	−15.9948	+	2.14863i	−0.728543	+	0.0978674i
$483$	1.08743	−	1.17874i	0.0494800	−	0.0536347i
$484$	12.9706	+	4.90071i	0.589573	+	0.222760i
$485$	11.8241	−	15.2194i	0.536906	−	0.691077i
$486$	−21.6978	+	3.89918i	−0.984234	+	0.176871i
$487$	−0.946906	+	1.30330i	−0.0429084	+	0.0590584i	−0.829932	−	0.557864i	$-0.811621\pi$
$487$	−0.946906	+	1.30330i	−0.0429084	+	0.0590584i	0.787024	+	0.616923i	$0.211621\pi$
$488$	17.3548	+	4.02176i	0.785616	+	0.182056i
$489$	2.23472	+	1.02751i	0.101057	+	0.0464656i
$490$	−18.6729	+	8.23838i	−0.843554	+	0.372172i
$491$	−13.8437	−	10.0580i	−0.624757	−	0.453912i	0.229823	−	0.973232i	$-0.426185\pi$
$491$	−13.8437	−	10.0580i	−0.624757	−	0.453912i	−0.854580	+	0.519320i	$0.826185\pi$
$492$	−2.77049	+	5.34691i	−0.124903	+	0.241057i
$493$	26.8803			1.21063
$494$	−17.9905	+	8.63927i	−0.809431	+	0.388699i
$495$	−10.5478	+	8.47171i	−0.474087	+	0.380775i
$496$	27.8621	−	6.22978i	1.25105	−	0.279725i
$497$	9.84539	+	3.19896i	0.441626	+	0.143493i
$498$	2.05600	−	6.70739i	0.0921316	−	0.300565i
$499$		−	10.7652i		−	0.481918i	−0.970535	−	0.240959i	$-0.922538\pi$
$499$		−	10.7652i		−	0.481918i	0.970535	−	0.240959i	$-0.0774620\pi$
$500$	19.7854	−	10.4182i	0.884828	−	0.465918i
$501$	−17.8986	+	10.0472i	−0.799650	+	0.448877i
$502$	25.1720	−	24.0137i	1.12348	−	1.07178i
$503$	−2.71748	+	8.36356i	−0.121167	+	0.372912i	−0.993183	−	0.116564i	$-0.962812\pi$
$503$	−2.71748	+	8.36356i	−0.121167	+	0.372912i	0.872017	+	0.489476i	$0.162812\pi$
$504$	2.79091	−	5.61423i	0.124317	−	0.250078i
$505$	13.3871	−	37.0944i	0.595716	−	1.65068i
$506$	−1.54714	−	3.22179i	−0.0687789	−	0.143226i
$507$	−14.3498	+	8.05516i	−0.637299	+	0.357742i
$508$	−3.03308	+	1.99250i	−0.134571	+	0.0884028i
$509$	15.2010	−	20.9223i	0.673771	−	0.927366i	−0.326068	−	0.945346i	$-0.605724\pi$
$509$	15.2010	−	20.9223i	0.673771	−	0.927366i	0.999838	+	0.0179806i	$0.00572371\pi$
$510$	15.4512	+	11.5951i	0.684192	+	0.513441i
$511$	−2.32561	−	3.20093i	−0.102879	−	0.141601i
$512$	−19.0074	+	12.2768i	−0.840016	+	0.542562i
$513$	−12.1685	−	9.53382i	−0.537254	−	0.420928i
$514$	2.32968	+	2.44206i	0.102758	+	0.107715i
$515$	9.68649	+	7.52555i	0.426838	+	0.331615i
$516$	−1.26836	−	8.37757i	−0.0558363	−	0.368802i
$517$	−6.32918	−	19.4792i	−0.278357	−	0.856695i
$518$	0.171096	+	1.27367i	0.00751751	+	0.0559618i
$519$	−0.630191	+	0.683106i	−0.0276623	+	0.0299850i
$520$	−7.70975	+	28.9931i	−0.338095	+	1.27143i
$521$	15.8802	+	5.15978i	0.695723	+	0.226054i	0.635466	−	0.772129i	$-0.280808\pi$
$521$	15.8802	+	5.15978i	0.695723	+	0.226054i	0.0602569	+	0.998183i	$0.480808\pi$
$522$	−21.5245	+	24.1293i	−0.942101	+	1.05611i
$523$	−5.98318	−	8.23514i	−0.261626	−	0.360097i	0.657914	−	0.753093i	$-0.271439\pi$
$523$	−5.98318	−	8.23514i	−0.261626	−	0.360097i	−0.919540	+	0.392995i	$0.871439\pi$
$524$	34.2308	−	9.36567i	1.49538	−	0.409141i
$525$	−5.62985	−	3.04161i	−0.245707	−	0.132747i
$526$	21.6151	−	2.90362i	0.942463	−	0.126604i
$527$	20.3661	−	14.7968i	0.887161	−	0.644560i
$528$	−9.33319	−	10.3980i	−0.406175	−	0.452515i
$529$	−6.62214	+	20.3809i	−0.287919	+	0.886124i
$530$	−38.6951	+	3.93518i	−1.68081	+	0.170933i
$531$	−14.3405	−	3.41253i	−0.622327	−	0.148091i
$532$	4.24053	−	1.16022i	0.183850	−	0.0503020i
$533$	−7.84260	+	2.54822i	−0.339701	+	0.110375i
$534$	0.513510	+	30.7014i	0.0222218	+	1.32858i
$535$	13.6494	+	4.92594i	0.590114	+	0.212967i
$536$	−22.4541	−	13.5170i	−0.969870	−	0.583846i
$537$	12.3973	+	1.45474i	0.534983	+	0.0627767i
$538$	15.3486	−	28.4471i	0.661726	−	1.22644i
$539$	10.5303	−	7.65068i	0.453570	−	0.329538i
$540$	−22.7811	+	4.58509i	−0.980341	+	0.197311i
$541$	−2.35065	−	1.70785i	−0.101062	−	0.0734260i	0.536106	−	0.844150i	$-0.319895\pi$
$541$	−2.35065	−	1.70785i	−0.101062	−	0.0734260i	−0.637169	+	0.770724i	$0.719895\pi$
$542$	−21.6443	+	10.3939i	−0.929702	+	0.446455i
$543$	16.5289	−	9.27837i	0.709324	−	0.398173i
$544$	−11.0832	+	16.5900i	−0.475188	+	0.711292i
$545$	−10.4702	−	15.4320i	−0.448495	−	0.661033i
$546$	8.11958	−	2.78918i	0.347486	−	0.119366i
$547$	−19.2639	−	6.25923i	−0.823666	−	0.267625i	−0.133291	−	0.991077i	$-0.542554\pi$
$547$	−19.2639	−	6.25923i	−0.823666	−	0.267625i	−0.690375	+	0.723452i	$0.742554\pi$
$548$	7.31766	+	5.86217i	0.312595	+	0.250420i
$549$	−9.84054	+	16.1307i	−0.419984	+	0.688440i
$550$	−10.9301	+	9.15937i	−0.466061	+	0.390557i
$551$	−22.6735			−0.965924
$552$	0.186398	−	6.13617i	0.00793364	−	0.261173i
$553$	−3.54474	+	10.9096i	−0.150737	+	0.463922i
$554$	3.95590	−	21.6624i	0.168070	−	0.920346i
$555$	3.34069	−	3.39516i	0.141805	−	0.144116i
$556$	−35.4530	+	23.2899i	−1.50354	+	0.987710i
$557$		−	0.501584i		−	0.0212528i	−0.999944	−	0.0106264i	$-0.996617\pi$
$557$		−	0.501584i		−	0.0212528i	0.999944	−	0.0106264i	$-0.00338255\pi$
$558$	−3.02570	+	30.1304i	−0.128088	+	1.27552i
$559$	6.81974	−	9.38656i	0.288444	−	0.397009i
$560$	2.81811	−	5.97785i	0.119087	−	0.252610i
$561$	−11.1935	−	5.14671i	−0.472591	−	0.217294i
$562$	3.97229	−	7.36222i	0.167561	−	0.310557i
$563$	4.55684	+	3.31074i	0.192048	+	0.139531i	0.679654	−	0.733533i	$-0.262130\pi$
$563$	4.55684	+	3.31074i	0.192048	+	0.139531i	−0.487606	+	0.873064i	$0.662130\pi$
$564$	5.74041	−	34.7094i	0.241715	−	1.46153i
$565$	−7.14160	+	4.84540i	−0.300449	+	0.203848i
$566$	20.6668	−	38.3037i	0.868689	−	1.61002i
$567$	4.72104	+	4.68340i	0.198265	+	0.196684i
$568$	36.4898	−	15.4535i	1.53108	−	0.648413i
$569$	19.3311	−	6.28105i	0.810401	−	0.263315i	0.125633	−	0.992077i	$-0.459904\pi$
$569$	19.3311	−	6.28105i	0.810401	−	0.263315i	0.684768	+	0.728762i	$0.259904\pi$
$570$	−13.0331	−	9.78047i	−0.545896	−	0.409659i
$571$	30.1588	+	9.79917i	1.26210	+	0.410083i	0.862244	−	0.506493i	$-0.169058\pi$
$571$	30.1588	+	9.79917i	1.26210	+	0.410083i	0.399861	+	0.916576i	$0.369058\pi$
$572$	0.900671	−	19.1116i	0.0376590	−	0.799097i
$573$	5.66206	−	12.3144i	0.236536	−	0.514440i
$574$	1.80038	−	0.241850i	0.0751463	−	0.0100946i
$575$	−6.25262	−	0.403036i	−0.260752	−	0.0168077i
$576$	−6.01728	−	23.2334i	−0.250720	−	0.968060i
$577$	−32.6795	+	23.7431i	−1.36047	+	0.988437i	−0.362052	+	0.932158i	$0.617924\pi$
$577$	−32.6795	+	23.7431i	−1.36047	+	0.988437i	−0.998415	+	0.0562794i	$0.982076\pi$
$578$	1.15861	−	6.34450i	0.0481917	−	0.263896i
$579$	0.622560	+	3.11354i	0.0258727	+	0.129394i
$580$	−22.1547	+	25.9011i	−0.919923	+	1.07549i
$581$	−2.01263	+	0.653942i	−0.0834978	+	0.0271301i
$582$	−16.8703	+	12.6934i	−0.699294	+	0.526157i
$583$	23.5910	−	7.66517i	0.977038	−	0.317459i
$584$	−14.7545	−	3.41918i	−0.610547	−	0.141487i
$585$	−26.6173	−	17.4374i	−1.10049	−	0.720947i
$586$	−11.7263	−	12.2920i	−0.484410	−	0.507776i
$587$	−29.8263	−	21.6701i	−1.23106	−	0.894421i	−0.234095	−	0.972214i	$-0.575213\pi$
$587$	−29.8263	−	21.6701i	−1.23106	−	0.894421i	−0.996970	+	0.0777929i	$0.975213\pi$
$588$	22.1056	−	3.34676i	0.911618	−	0.138018i
$589$	−17.1788	+	12.4811i	−0.707839	+	0.514275i
$590$	−15.1878	−	3.28182i	−0.625273	−	0.135111i
$591$	−2.12805	+	18.1352i	−0.0875362	+	0.745983i
$592$	3.69025	+	3.25298i	0.151668	+	0.133697i
$593$			3.60378i			0.147989i	0.997259	+	0.0739947i	$0.0235748\pi$
$593$			3.60378i			0.147989i	−0.997259	+	0.0739947i	$0.976425\pi$
$594$	13.5832	−	5.92672i	0.557327	−	0.243176i
$595$	0.187518	−	5.82427i	0.00768748	−	0.238772i
$596$	−8.38004	−	0.394925i	−0.343260	−	0.0161768i
$597$	33.7454	−	6.74749i	1.38111	−	0.276156i
$598$	6.08249	−	5.80259i	0.248731	−	0.237286i
$599$	−11.2701			−0.460484			−0.230242	−	0.973133i	$-0.573952\pi$
$599$	−11.2701			−0.460484			−0.230242	+	0.973133i	$0.573952\pi$
$600$	−23.9076	+	5.33169i	−0.976023	+	0.217665i
$601$	−26.8415			−1.09489			−0.547443	−	0.836843i	$-0.684399\pi$
$601$	−26.8415			−1.09489			−0.547443	+	0.836843i	$0.684399\pi$
$602$	−1.84934	+	1.76424i	−0.0753733	+	0.0719049i
$603$	21.1020	−	18.0960i	0.859340	−	0.736925i
$604$	3.81708	+	0.179887i	0.155315	+	0.00731951i
$605$	−9.51079	+	12.2418i	−0.386669	+	0.497700i
$606$	−24.8044	+	35.3694i	−1.00761	+	1.43678i
$607$		−	18.6629i		−	0.757503i	−0.925498	−	0.378751i	$-0.876354\pi$
$607$		−	18.6629i		−	0.757503i	0.925498	−	0.378751i	$-0.123646\pi$
$608$	9.34866	−	13.9937i	0.379138	−	0.567518i
$609$	9.68727	+	1.13674i	0.392548	+	0.0460629i
$610$	−10.0168	+	17.2154i	−0.405569	+	0.697029i
$611$	38.9739	−	28.3162i	1.57672	−	1.14555i
$612$	−13.0042	−	16.6948i	−0.525665	−	0.674845i
$613$	−35.3535	−	25.6858i	−1.42791	−	1.03744i	−0.990400	−	0.138229i	$-0.955859\pi$
$613$	−35.3535	−	25.6858i	−1.42791	−	1.03744i	−0.437514	−	0.899212i	$-0.644141\pi$
$614$	−23.5522	−	24.6883i	−0.950489	−	0.996337i
$615$	−4.79918	−	4.72220i	−0.193522	−	0.190417i
$616$	−0.951502	+	4.10595i	−0.0383371	+	0.165434i
$617$	31.8623	−	10.3527i	1.28273	−	0.416784i	0.413188	−	0.910646i	$-0.364415\pi$
$617$	31.8623	−	10.3527i	1.28273	−	0.416784i	0.869540	+	0.493862i	$0.164415\pi$
$618$	−8.07880	−	10.7372i	−0.324977	−	0.431913i
$619$	21.6969	−	7.04976i	0.872074	−	0.283354i	0.161411	−	0.986887i	$-0.448395\pi$
$619$	21.6969	−	7.04976i	0.872074	−	0.283354i	0.710662	+	0.703533i	$0.248395\pi$
$620$	−2.52786	+	31.8197i	−0.101521	+	1.27791i
$621$	6.11567	+	2.23536i	0.245413	+	0.0897018i
$622$	−4.72236	+	25.8595i	−0.189350	+	1.03687i
$623$	7.49341	−	5.44428i	0.300217	−	0.218121i
$624$	16.4762	−	28.4355i	0.659577	−	1.13833i
$625$	4.60898	+	24.5715i	0.184359	+	0.982859i
$626$	3.38291	−	0.454436i	0.135208	−	0.0181629i
$627$	9.44172	+	4.34125i	0.377066	+	0.173373i
$628$	−1.89936	+	40.3032i	−0.0757928	+	1.60827i
$629$	4.12530	+	1.34039i	0.164486	+	0.0534449i
$630$	5.07805	+	4.83213i	0.202314	+	0.192516i
$631$	−24.0978	+	7.82984i	−0.959317	+	0.311701i	−0.746496	−	0.665390i	$-0.768265\pi$
$631$	−24.0978	+	7.82984i	−0.959317	+	0.311701i	−0.212821	+	0.977091i	$0.568265\pi$
$632$	17.1238	+	40.4339i	0.681149	+	1.60837i
$633$	−27.0136	+	29.2818i	−1.07369	+	1.16385i
$634$	−7.86563	+	14.5781i	−0.312384	+	0.578972i
$635$	−1.12897	−	3.89711i	−0.0448016	−	0.154652i
$636$	42.0360	+	6.95211i	1.66683	+	0.275669i
$637$	24.7679	+	17.9950i	0.981342	+	0.712986i
$638$	10.3216	−	19.1299i	0.408634	−	0.757361i
$639$	3.38155	+	41.8947i	0.133772	+	1.65733i
$640$	−6.85095	−	24.3529i	−0.270808	−	0.962633i
$641$	8.54730	−	11.7644i	0.337598	−	0.464664i	−0.606140	−	0.795358i	$-0.707283\pi$
$641$	8.54730	−	11.7644i	0.337598	−	0.464664i	0.943738	+	0.330694i	$0.107283\pi$
$642$	−13.0146	−	9.12709i	−0.513647	−	0.360218i
$643$			5.27318i			0.207954i	0.994580	+	0.103977i	$0.0331568\pi$
$643$			5.27318i			0.207954i	−0.994580	+	0.103977i	$0.966843\pi$
$644$	−1.54774	+	1.01675i	−0.0609895	+	0.0400654i
$645$	9.36819	+	1.40623i	0.368872	+	0.0553701i
$646$	2.66575	−	14.5976i	0.104883	−	0.574335i
$647$	−0.604880	+	1.86163i	−0.0237803	+	0.0731882i	−0.962242	−	0.272194i	$-0.912251\pi$
$647$	−0.604880	+	1.86163i	−0.0237803	+	0.0731882i	0.938462	+	0.345382i	$0.112251\pi$
$648$	25.3993	+	1.69502i	0.997781	+	0.0665868i
$649$	9.90956			0.388984
$650$	−28.4334	−	17.7929i	−1.11525	−	0.697894i
$651$	7.96538	−	4.47130i	0.312188	−	0.175244i
$652$	−2.21658	−	1.77570i	−0.0868078	−	0.0695417i
$653$	−34.1296	−	11.0894i	−1.33559	−	0.433961i	−0.447773	−	0.894147i	$-0.647783\pi$
$653$	−34.1296	−	11.0894i	−1.33559	−	0.433961i	−0.887822	+	0.460186i	$0.847783\pi$
$654$	6.63680	+	19.3204i	0.259519	+	0.755488i
$655$	−1.27680	+	39.6573i	−0.0498889	+	1.54954i
$656$	4.59821	−	5.21631i	0.179530	−	0.203663i
$657$	8.36613	−	13.7138i	0.326394	−	0.535027i
$658$	−9.56644	+	4.59393i	−0.372939	+	0.179090i
$659$	−9.38919	−	6.82165i	−0.365751	−	0.265734i	0.389696	−	0.920944i	$-0.372580\pi$
$659$	−9.38919	−	6.82165i	−0.365751	−	0.265734i	−0.755447	+	0.655210i	$0.772580\pi$
$660$	14.1849	−	6.54386i	0.552147	−	0.254719i
$661$	16.9242	−	12.2962i	0.658276	−	0.478266i	−0.207804	−	0.978170i	$-0.566632\pi$
$661$	16.9242	−	12.2962i	0.658276	−	0.478266i	0.866080	+	0.499905i	$0.166632\pi$
$662$	−7.57028	+	14.0307i	−0.294227	+	0.545320i
$663$	3.37717	−	28.7802i	0.131158	−	1.11773i
$664$	−4.17790	+	6.94022i	−0.162134	+	0.269333i
$665$	−0.158171	+	4.91276i	−0.00613361	+	0.190509i
$666$	−4.50655	+	2.62979i	−0.174625	+	0.101902i
$667$	9.08301	−	2.95125i	0.351696	−	0.114273i
$668$	22.8609	−	6.25481i	0.884513	−	0.242006i
$669$	22.1943	−	24.0579i	0.858081	−	0.930132i
$670$	21.8418	−	19.5335i	0.843822	−	0.754645i
$671$	3.92523	−	12.0806i	0.151532	−	0.466367i
$672$	−4.69579	+	5.51011i	−0.181144	+	0.212557i
$673$	17.4290	−	12.6629i	0.671839	−	0.488120i	−0.198801	−	0.980040i	$-0.563705\pi$
$673$	17.4290	−	12.6629i	0.671839	−	0.488120i	0.870640	+	0.491920i	$0.163705\pi$
$674$	−48.2211	+	6.47769i	−1.85741	+	0.249511i
$675$	2.61024	−	25.8493i	0.100468	−	0.994940i
$676$	18.3282	−	5.01467i	0.704932	−	0.192872i
$677$	−10.8376	−	14.9166i	−0.416522	−	0.573293i	0.548272	−	0.836300i	$-0.315286\pi$
$677$	−10.8376	−	14.9166i	−0.416522	−	0.573293i	−0.964794	+	0.263007i	$0.915286\pi$
$678$	8.94109	−	3.07138i	0.343380	−	0.117955i
$679$	6.05681	+	1.96798i	0.232439	+	0.0755240i
$680$	−14.0708	−	17.3088i	−0.539592	−	0.663762i
$681$	−28.5412	−	26.3303i	−1.09370	−	1.00898i
$682$	−2.71026	−	20.1757i	−0.103781	−	0.772566i
$683$	−7.98951	−	24.5892i	−0.305710	−	0.940879i	−0.979411	−	0.201875i	$-0.935296\pi$
$683$	−7.98951	−	24.5892i	−0.305710	−	0.940879i	0.673701	−	0.739004i	$-0.264704\pi$
$684$	10.9690	+	14.0820i	0.419412	+	0.538439i
$685$	−8.67475	+	5.88561i	−0.331445	+	0.224877i
$686$	−9.70423	−	10.1723i	−0.370509	−	0.388381i
$687$	35.2427	+	4.13550i	1.34459	+	0.157779i
$688$	−0.920119	+	9.74046i	−0.0350792	+	0.371352i
$689$	34.2933	+	47.2007i	1.30647	+	1.79820i
$690$	6.49411	+	2.22164i	0.247227	+	0.0845762i
$691$	−4.33841	+	5.97131i	−0.165041	+	0.227159i	−0.883525	−	0.468384i	$-0.844836\pi$
$691$	−4.33841	+	5.97131i	−0.165041	+	0.227159i	0.718484	+	0.695544i	$0.244836\pi$
$692$	0.896947	−	0.589225i	0.0340968	−	0.0223990i
$693$	−3.81633	−	2.32816i	−0.144970	−	0.0884395i
$694$	−2.09188	−	4.35615i	−0.0794067	−	0.165357i
$695$	−13.1962	−	45.5524i	−0.500561	−	1.72790i
$696$	30.8585	−	21.0188i	1.16969	−	0.796714i
$697$	1.89469	−	5.83126i	0.0717666	−	0.220875i
$698$	−9.00654	+	8.59209i	−0.340903	+	0.325215i
$699$	4.92734	+	8.77778i	0.186369	+	0.332006i
$700$	5.45755	+	4.98103i	0.206276	+	0.188265i
$701$		−	28.4071i		−	1.07292i	−0.843925	−	0.536462i	$-0.819761\pi$
$701$		−	28.4071i		−	1.07292i	0.843925	−	0.536462i	$-0.180239\pi$
$702$	23.1305	+	26.0774i	0.873005	+	0.984227i
$703$	−3.47968	−	1.13062i	−0.131239	−	0.0426420i
$704$	7.55089	+	14.2579i	0.284585	+	0.537363i
$705$	35.1896	+	17.5730i	1.32532	+	0.661839i
$706$	8.25914	−	3.96614i	0.310837	−	0.149268i
$707$	13.0313			0.490093
$708$	15.1131	+	7.83084i	0.567986	+	0.294301i
$709$	−15.0277	−	10.9183i	−0.564378	−	0.410044i	0.268681	−	0.963229i	$-0.413412\pi$
$709$	−15.0277	−	10.9183i	−0.564378	−	0.410044i	−0.833058	+	0.553185i	$0.813412\pi$
$710$	4.48253	+	44.0772i	0.168226	+	1.65419i
$711$	−46.4231	+	3.74706i	−1.74100	+	0.140526i
$712$	8.00433	−	34.5406i	0.299975	−	1.29446i
$713$	5.25724	−	7.23597i	0.196885	−	0.270989i
$714$	−1.87080	+	6.10318i	−0.0700128	+	0.228406i
$715$	20.1210	+	7.26147i	0.752481	+	0.271564i
$716$	−13.4831	−	5.09434i	−0.503886	−	0.190384i
$717$	15.5058	+	14.3047i	0.579074	+	0.534217i
$718$	27.9242	−	3.75114i	1.04212	−	0.139991i
$719$	3.98890	+	12.2766i	0.148761	+	0.457839i	0.997475	−	0.0710123i	$-0.0226230\pi$
$719$	3.98890	+	12.2766i	0.148761	+	0.457839i	−0.848715	+	0.528851i	$0.822623\pi$
$720$	26.8046	+	1.22927i	0.998950	+	0.0458121i
$721$	−1.25253	+	3.85490i	−0.0466468	+	0.143564i
$722$	2.57851	−	14.1199i	0.0959623	−	0.525487i
$723$	−8.25706	+	17.9582i	−0.307083	+	0.667872i
$724$	−21.1115	+	5.77616i	−0.784601	+	0.214669i
$725$	−20.3691	−	32.2059i	−0.756489	−	1.19610i
$726$	13.5697	−	10.2100i	0.503618	−	0.378928i
$727$	−24.2110	−	33.3236i	−0.897936	−	1.23590i	−0.971122	−	0.238584i	$-0.923317\pi$
$727$	−24.2110	−	33.3236i	−0.897936	−	1.23590i	0.0731863	−	0.997318i	$-0.476683\pi$
$728$	−9.87642	+	0.855866i	−0.366044	+	0.0317205i
$729$	−10.1825	+	25.0063i	−0.377131	+	0.926160i
$730$	8.51600	−	14.6360i	0.315191	−	0.541702i
$731$	2.66584	+	8.20460i	0.0985996	+	0.303458i
$732$	15.5329	−	15.3224i	0.574112	−	0.566332i
$733$	−9.15431	−	28.1741i	−0.338122	−	1.04063i	−0.965164	−	0.261647i	$-0.915734\pi$
$733$	−9.15431	−	28.1741i	−0.338122	−	1.04063i	0.627041	−	0.778986i	$-0.284266\pi$
$734$	12.7729	−	23.6733i	0.471458	−	0.873798i
$735$	−3.71055	+	24.7195i	−0.136866	+	0.911791i
$736$	−1.92362	+	6.82272i	−0.0709055	+	0.251489i
$737$	−10.9842	+	15.1185i	−0.404608	+	0.556896i
$738$	3.71730	+	6.37018i	0.136836	+	0.234490i
$739$	−16.9992	−	23.3974i	−0.625326	−	0.860688i	0.372401	−	0.928072i	$-0.378535\pi$
$739$	−16.9992	−	23.3974i	−0.625326	−	0.860688i	−0.997727	+	0.0673842i	$0.978535\pi$
$740$	−4.69162	+	2.87027i	−0.172467	+	0.105513i
$741$	−2.84864	+	24.2761i	−0.104647	+	0.891804i
$742$	−5.56363	−	11.5858i	−0.204247	−	0.425327i
$743$	5.79856			0.212729			0.106364	−	0.994327i	$-0.466079\pi$
$743$	5.79856			0.212729			0.106364	+	0.994327i	$0.466079\pi$
$744$	11.8100	−	32.9118i	0.432976	−	1.20660i
$745$	3.18400	−	8.82261i	0.116653	−	0.323235i
$746$	−0.143075	+	0.783474i	−0.00523834	+	0.0286850i
$747$	−5.59319	−	6.52231i	−0.204644	−	0.238639i
$748$	11.1027	+	8.89433i	0.405954	+	0.325209i
$749$			4.79504i			0.175207i
$750$	2.18392	−	27.2989i	0.0797454	−	0.996815i
$751$		−	16.7726i		−	0.612040i	−0.952025	−	0.306020i	$-0.901003\pi$
$751$		−	16.7726i		−	0.612040i	0.952025	−	0.306020i	$-0.0989974\pi$
$752$	−16.1311	+	37.2833i	−0.588241	+	1.35958i
$753$	−8.35418	−	41.7808i	−0.304443	−	1.52258i
$754$	50.2948	+	9.18464i	1.83163	+	0.334485i
$755$	−1.45030	+	4.01867i	−0.0527819	+	0.146254i
$756$	−3.98053	−	6.56648i	−0.144770	−	0.238820i
$757$	−2.93848			−0.106801			−0.0534005	−	0.998573i	$-0.517006\pi$
$757$	−2.93848			−0.106801			−0.0534005	+	0.998573i	$0.517006\pi$
$758$	19.2638	−	9.25073i	0.699693	−	0.336002i
$759$	−4.34743	−	0.510142i	−0.157802	−	0.0185170i
$760$	11.8687	+	14.5999i	0.430524	+	0.529596i
$761$	25.3962	+	34.9549i	0.920611	+	1.26711i	0.963411	+	0.268029i	$0.0863724\pi$
$761$	25.3962	+	34.9549i	0.920611	+	1.26711i	−0.0427993	+	0.999084i	$0.513628\pi$
$762$	0.0743296	+	4.44397i	0.00269268	+	0.160988i
$763$	3.62209	−	4.98538i	0.131128	−	0.180483i
$764$	−9.78494	+	12.2144i	−0.354007	+	0.441901i
$765$	22.1220	−	8.39037i	0.799822	−	0.303354i
$766$	−10.1638	−	5.48390i	−0.367234	−	0.198141i
$767$	7.20258	+	22.1672i	0.260070	+	0.800413i
$768$	0.248910	+	27.7117i	0.00898178	+	0.999960i
$769$	9.36897	+	28.8347i	0.337854	+	1.03981i	0.965299	+	0.261147i	$0.0841006\pi$
$769$	9.36897	+	28.8347i	0.337854	+	1.03981i	−0.627445	+	0.778661i	$0.715899\pi$
$770$	−4.07296	−	2.36987i	−0.146779	−	0.0854040i
$771$	4.05336	−	0.810480i	0.145978	−	0.0291887i
$772$	0.172593	−	3.66230i	0.00621175	−	0.131809i
$773$	−2.56875	−	3.53558i	−0.0923916	−	0.127166i	0.760319	−	0.649550i	$-0.225043\pi$
$773$	−2.56875	−	3.53558i	−0.0923916	−	0.127166i	−0.852710	+	0.522384i	$0.825043\pi$
$774$	−9.49961	−	4.17685i	−0.341456	−	0.150134i
$775$	−33.1612	−	13.1885i	−1.19119	−	0.473745i
$776$	22.4482	−	9.50686i	0.805844	−	0.341276i
$777$	1.43001	+	0.657511i	0.0513014	+	0.0235881i
$778$	−4.99533	−	0.912227i	−0.179091	−	0.0327049i
$779$	−1.59817	+	4.91866i	−0.0572604	+	0.176229i
$780$	24.9484	+	26.9747i	0.893295	+	0.965850i
$781$	−8.73131	−	26.8722i	−0.312431	−	0.961564i
$782$	0.832164	+	6.19478i	0.0297581	+	0.221525i
$783$	10.8638	+	38.0824i	0.388242	+	1.36095i
$784$	−25.7018	−	2.42788i	−0.917920	−	0.0867100i
$785$	−42.4317	−	15.3132i	−1.51445	−	0.546552i
$786$	12.7382	−	41.5564i	0.454357	−	1.48227i
$787$	−31.3923	+	43.2077i	−1.11901	+	1.54019i	−0.311590	+	0.950217i	$0.600861\pi$
$787$	−31.3923	+	43.2077i	−1.11901	+	1.54019i	−0.807423	+	0.589972i	$0.799139\pi$
$788$	7.45218	−	19.7235i	0.265473	−	0.702622i
$789$	11.1585	−	24.2684i	0.397251	−	0.863977i
$790$	−48.8415	+	4.96704i	−1.73770	+	0.176719i
$791$	−2.30713	−	1.67623i	−0.0820321	−	0.0595998i
$792$	−16.8746	+	2.84424i	−0.599611	+	0.101066i
$793$	29.8768			1.06096
$794$	14.2261	+	29.6247i	0.504867	+	1.05134i
$795$	−21.2824	+	42.6175i	−0.754810	+	1.51149i
$796$	−39.6931	−	1.87061i	−1.40689	−	0.0663021i
$797$	32.3917	+	10.5247i	1.14737	+	0.372804i	0.820153	−	0.572145i	$-0.193889\pi$
$797$	32.3917	+	10.5247i	1.14737	+	0.372804i	0.327219	+	0.944949i	$0.393889\pi$
$798$	1.57801	−	5.14803i	0.0558611	−	0.182238i
$799$			35.8194i			1.26720i
$800$	28.2754	+	0.707602i	0.999687	+	0.0250175i
$801$	32.1042	+	19.5852i	1.13435	+	0.692010i
$802$	−19.5160	−	20.4574i	−0.689135	−	0.722376i
$803$	−3.33712	+	10.2706i	−0.117764	+	0.362441i
$804$	−28.6992	+	14.3772i	−1.01214	+	0.507045i
$805$	−0.576096	−	1.98864i	−0.0203047	−	0.0700904i
$806$	43.1622	−	20.7270i	1.52032	−	0.730078i
$807$	−19.3782	−	34.5212i	−0.682144	−	1.21520i
$808$	37.6743	−	32.6953i	1.32538	−	1.15022i
$809$	−20.9478	+	28.8322i	−0.736486	+	1.01369i	0.262327	+	0.964979i	$0.415510\pi$
$809$	−20.9478	+	28.8322i	−0.736486	+	1.01369i	−0.998813	+	0.0487074i	$0.984490\pi$
$810$	−10.1826	+	26.5766i	−0.357779	+	0.933806i
$811$	19.5132	+	26.8576i	0.685202	+	0.943099i	0.999982	−	0.00606532i	$-0.00193066\pi$
$811$	19.5132	+	26.8576i	0.685202	+	0.943099i	−0.314780	+	0.949165i	$0.601931\pi$
$812$	−10.5357	−	3.98072i	−0.369730	−	0.139696i
$813$	−3.42718	+	29.2064i	−0.120197	+	1.02431i
$814$	2.53796	−	2.42117i	0.0889553	−	0.0848619i
$815$	2.62765	−	1.78280i	0.0920425	−	0.0624486i
$816$	9.90416	+	22.3385i	0.346715	+	0.782003i
$817$	−2.24863	−	6.92057i	−0.0786696	−	0.242120i
$818$	−1.67764	+	0.225362i	−0.0586573	+	0.00787961i
$819$	2.43416	−	10.2291i	0.0850565	−	0.357435i
$820$	4.05724	+	6.63178i	0.141685	+	0.231592i
$821$	−13.3123	−	4.32543i	−0.464603	−	0.150959i	0.0673557	−	0.997729i	$-0.478544\pi$
$821$	−13.3123	−	4.32543i	−0.464603	−	0.150959i	−0.531959	+	0.846770i	$0.678544\pi$
$822$	10.8605	−	3.73073i	0.378805	−	0.130124i
$823$	−6.65631	−	9.16163i	−0.232025	−	0.319354i	0.677090	−	0.735900i	$-0.263241\pi$
$823$	−6.65631	−	9.16163i	−0.232025	−	0.319354i	−0.909115	+	0.416546i	$0.863241\pi$
$824$	6.05071	+	14.2873i	0.210787	+	0.497723i
$825$	2.31572	+	17.3113i	0.0806231	+	0.602700i
$826$	−0.683594	−	5.08880i	−0.0237853	−	0.177062i
$827$	6.50741	−	4.72791i	0.226285	−	0.164405i	−0.468866	−	0.883269i	$-0.655337\pi$
$827$	6.50741	−	4.72791i	0.226285	−	0.164405i	0.695151	+	0.718864i	$0.255337\pi$
$828$	−6.22716	−	4.21349i	−0.216409	−	0.146429i
$829$	−2.10626	+	6.48242i	−0.0731536	+	0.225144i	−0.980948	−	0.194273i	$-0.937765\pi$
$829$	−2.10626	+	6.48242i	−0.0731536	+	0.225144i	0.907794	+	0.419416i	$0.137765\pi$
$830$	−6.03751	−	6.75096i	−0.209565	−	0.234329i
$831$	−19.8227	−	18.2872i	−0.687643	−	0.634376i
$832$	−26.4060	+	27.2541i	−0.915463	+	0.944865i
$833$	−21.6492	+	7.03424i	−0.750099	+	0.243722i
$834$	0.868822	+	51.9446i	0.0300849	+	1.79869i
$835$	−0.852707	+	26.4849i	−0.0295091	+	0.916548i
$836$	−9.36508	−	7.50236i	−0.323898	−	0.259474i
$837$	29.1943	+	22.8732i	1.00910	+	0.790614i
$838$	−28.2350	−	15.2342i	−0.975361	−	0.526256i
$839$	−15.0054	+	10.9021i	−0.518044	+	0.376381i	−0.815866	−	0.578240i	$-0.803740\pi$
$839$	−15.0054	+	10.9021i	−0.518044	+	0.376381i	0.297823	+	0.954621i	$0.403740\pi$
$840$	−4.33895	−	6.83287i	−0.149708	−	0.235757i
$841$	23.5302	+	17.0957i	0.811385	+	0.589506i
$842$	−10.1401	−	21.1159i	−0.349451	−	0.727701i
$843$	−5.01515	−	8.93422i	−0.172731	−	0.307711i
$844$	38.4483	−	25.2575i	1.32344	−	0.869400i
$845$	−0.683641	+	21.2337i	−0.0235180	+	0.730463i
$846$	−32.1536	−	28.6825i	−1.10546	−	0.986125i
$847$	−4.87183	−	1.58295i	−0.167398	−	0.0543909i
$848$	−45.1532	−	19.5361i	−1.55057	−	0.670873i
$849$	−26.0925	−	46.4824i	−0.895493	−	1.59527i
$850$	23.1296	−	9.32749i	0.793337	−	0.319930i
$851$	1.54113			0.0528291
$852$	7.91908	−	47.8827i	0.271303	−	1.64044i
$853$	−16.4758	+	50.7073i	−0.564121	+	1.73619i	0.106427	+	0.994320i	$0.466059\pi$
$853$	−16.4758	+	50.7073i	−0.564121	+	1.73619i	−0.670548	+	0.741866i	$0.733941\pi$
$854$	−6.47447	−	1.18234i	−0.221552	−	0.0404589i
$855$	−18.6599	+	7.07726i	−0.638154	+	0.242037i
$856$	12.0307	+	13.8628i	0.411199	+	0.473820i
$857$			30.1725i			1.03067i	0.856987	+	0.515337i	$0.172333\pi$
$857$			30.1725i			1.03067i	−0.856987	+	0.515337i	$0.827667\pi$
$858$	−19.1853	−	13.4545i	−0.654974	−	0.459330i
$859$	5.25931	−	7.23882i	0.179445	−	0.246985i	−0.709813	−	0.704390i	$-0.751221\pi$
$859$	5.25931	−	7.23882i	0.179445	−	0.246985i	0.889259	+	0.457404i	$0.151221\pi$
$860$	−10.1029	−	4.19349i	−0.344506	−	0.142997i
$861$	0.929416	−	2.02138i	0.0316744	−	0.0688883i
$862$	−44.3098	−	23.9074i	−1.50920	−	0.814289i
$863$	44.8698	+	32.5998i	1.52738	+	1.10971i	0.957670	+	0.287867i	$0.0929462\pi$
$863$	44.8698	+	32.5998i	1.52738	+	1.10971i	0.569714	+	0.821843i	$0.307054\pi$
$864$	−27.9831	−	8.99703i	−0.952004	−	0.306085i
$865$	0.333860	+	1.15246i	0.0113516	+	0.0391848i
$866$	26.9658	+	14.5494i	0.916334	+	0.494408i
$867$	−5.80570	−	5.35597i	−0.197172	−	0.181898i
$868$	−10.1737	+	2.78357i	−0.345319	+	0.0944804i
$869$	29.7768	−	9.67508i	1.01011	−	0.328204i
$870$	12.2842	+	39.8954i	0.416475	+	1.35258i
$871$	−41.8030	−	13.5826i	−1.41644	−	0.460229i
$872$	−2.03652	−	23.5008i	−0.0689652	−	0.795836i
$873$	2.08030	+	25.7733i	0.0704076	+	0.872294i
$874$	−0.701929	−	5.22529i	−0.0237431	−	0.176748i
$875$	−7.12029	+	4.18879i	−0.240710	+	0.141607i
$876$	−13.2056	+	13.0266i	−0.446176	+	0.440129i
$877$	−23.9884	+	17.4286i	−0.810029	+	0.588521i	−0.913839	−	0.406077i	$-0.866897\pi$
$877$	−23.9884	+	17.4286i	−0.810029	+	0.588521i	0.103810	+	0.994597i	$0.466897\pi$
$878$	−18.9291	−	3.45676i	−0.638826	−	0.116660i
$879$	−20.4024	+	4.07951i	−0.688154	+	0.137598i
$880$	−17.7211	+	3.36753i	−0.597379	+	0.113520i
$881$	9.84672	−	3.19939i	0.331745	−	0.107790i	−0.138409	−	0.990375i	$-0.544199\pi$
$881$	9.84672	−	3.19939i	0.331745	−	0.107790i	0.470153	+	0.882585i	$0.344199\pi$
$882$	11.0213	−	25.0662i	0.371106	−	0.844024i
$883$	16.8715	−	5.48190i	0.567773	−	0.184481i	−0.0110429	−	0.999939i	$-0.503515\pi$
$883$	16.8715	−	5.48190i	0.567773	−	0.184481i	0.578816	+	0.815458i	$0.303515\pi$
$884$	−11.8265	+	31.3008i	−0.397767	+	1.05276i
$885$	−13.3474	+	13.5650i	−0.448667	+	0.455982i
$886$	22.6364	−	21.5948i	0.760486	−	0.725491i
$887$	11.1016	+	8.06579i	0.372755	+	0.270823i	0.758353	−	0.651845i	$-0.226005\pi$
$887$	11.1016	+	8.06579i	0.372755	+	0.270823i	−0.385597	+	0.922667i	$0.626005\pi$
$888$	5.78393	−	1.68697i	0.194096	−	0.0566108i
$889$	1.08466	−	0.788050i	0.0363782	−	0.0264303i
$890$	34.2630	+	19.9361i	1.14850	+	0.668258i
$891$	2.76762	−	17.9384i	0.0927187	−	0.600958i
$892$	−31.5890	+	20.7515i	−1.05768	+	0.694813i
$893$		−	30.2137i		−	1.01106i
$894$	−5.89952	+	8.41233i	−0.197309	+	0.281350i
$895$	9.88657	−	12.7255i	0.330471	−	0.425366i
$896$	6.80087	−	4.86112i	0.227201	−	0.162399i
$897$	−2.01868	−	10.0958i	−0.0674018	−	0.337089i
$898$	−1.23411	−	1.29364i	−0.0411827	−	0.0431692i
$899$	54.3975			1.81426
$900$	−10.1482	+	28.2315i	−0.338272	+	0.941048i
$901$	−43.3803			−1.44521
$902$	−3.42241	−	3.58750i	−0.113954	−	0.119451i
$903$	0.613765	+	3.06955i	0.0204248	+	0.102148i
$904$	−10.8757	+	0.942459i	−0.361720	+	0.0313457i
$905$	0.787454	−	24.4582i	0.0261759	−	0.813017i
$906$	2.68721	−	3.83179i	0.0892767	−	0.127303i
$907$		−	23.3088i		−	0.773956i	−0.922089	−	0.386978i	$-0.873519\pi$
$907$		−	23.3088i		−	0.773956i	0.922089	−	0.386978i	$-0.126481\pi$
$908$	24.6187	+	37.4757i	0.816999	+	1.24368i
$909$	20.3452	+	48.8411i	0.674809	+	1.61996i
$910$	2.34093	−	10.8335i	0.0776012	−	0.359128i
$911$	−0.799588	+	0.580935i	−0.0264915	+	0.0192472i	−0.600952	−	0.799285i	$-0.705212\pi$
$911$	−0.799588	+	0.580935i	−0.0264915	+	0.0192472i	0.574461	+	0.818532i	$0.305212\pi$
$912$	−8.35415	−	18.8425i	−0.276634	−	0.623936i
$913$	4.67289	+	3.39505i	0.154650	+	0.112360i
$914$	−24.8913	+	23.7459i	−0.823332	+	0.785444i
$915$	11.2499	+	21.6448i	0.371911	+	0.715555i
$916$	−38.3293	−	14.4821i	−1.26644	−	0.478501i
$917$	−12.4695	+	4.05158i	−0.411778	+	0.133795i
$918$	−25.7954	+	2.51694i	−0.851375	+	0.0830712i
$919$	16.5427	−	5.37504i	0.545692	−	0.177306i	−0.0231812	−	0.999731i	$-0.507379\pi$
$919$	16.5427	−	5.37504i	0.545692	−	0.177306i	0.568873	+	0.822425i	$0.307379\pi$
$920$	−6.65499	−	4.30388i	−0.219408	−	0.141895i
$921$	−40.9779	+	8.19364i	−1.35027	+	0.269990i
$922$	−20.2592	−	3.69964i	−0.667200	−	0.121841i
$923$	53.7658	−	39.0631i	1.76972	−	1.28578i
$924$	3.62510	+	3.67490i	0.119257	+	0.120895i
$925$	−1.52007	−	5.95832i	−0.0499797	−	0.195908i
$926$	−0.166322	−	1.23814i	−0.00546570	−	0.0406877i
$927$	−16.4036	+	1.32402i	−0.538765	+	0.0434867i
$928$	−40.4469	+	14.9253i	−1.32773	+	0.489947i
$929$	−7.16511	−	2.32809i	−0.235080	−	0.0763820i	0.189108	−	0.981956i	$-0.439440\pi$
$929$	−7.16511	−	2.32809i	−0.235080	−	0.0763820i	−0.424188	+	0.905574i	$0.639440\pi$
$930$	31.2685	+	23.4650i	1.02534	+	0.769447i
$931$	18.2610	−	5.93337i	0.598481	−	0.194458i
$932$	−3.06747	−	11.2114i	−0.100478	−	0.367241i
$933$	23.6634	+	21.8304i	0.774706	+	0.714695i
$934$	2.81154	+	1.51697i	0.0919963	+	0.0496366i
$935$	−13.1617	+	8.92988i	−0.430433	+	0.292038i
$936$	−18.6274	−	35.6804i	−0.608855	−	1.16625i
$937$	23.9839	+	17.4253i	0.783520	+	0.569261i	0.906034	−	0.423206i	$-0.139095\pi$
$937$	23.9839	+	17.4253i	0.783520	+	0.569261i	−0.122513	+	0.992467i	$0.539095\pi$
$938$	8.52142	+	4.59773i	0.278234	+	0.150121i
$939$	1.74637	−	3.79816i	0.0569907	−	0.123948i
$940$	−34.5146	−	29.5223i	−1.12574	−	0.962911i
$941$	−17.3787	+	23.9197i	−0.566528	+	0.779759i	−0.992138	−	0.125148i	$-0.960060\pi$
$941$	−17.3787	+	23.9197i	−0.566528	+	0.779759i	0.425610	+	0.904907i	$0.360060\pi$
$942$	40.4584	+	28.3733i	1.31821	+	0.924451i
$943$		−	2.17844i		−	0.0709398i
$944$	−14.7440	−	12.9969i	−0.479876	−	0.423013i
$945$	8.32726	−	2.08825i	0.270886	−	0.0679308i
$946$	6.86261	+	1.25322i	0.223123	+	0.0407458i
$947$	−0.728909	+	2.24335i	−0.0236864	+	0.0728991i	−0.962201	−	0.272340i	$-0.912202\pi$
$947$	−0.728909	+	2.24335i	−0.0236864	+	0.0728991i	0.938515	+	0.345240i	$0.112202\pi$
$948$	53.0584	+	8.77505i	1.72326	+	0.285000i
$949$	−25.4004			−0.824531
$950$	−19.5098	+	7.86772i	−0.632980	+	0.255263i
$951$	9.93064	+	17.6909i	0.322023	+	0.573667i
$952$	3.80156	−	6.31505i	0.123209	−	0.204672i
$953$	16.4109	+	5.33221i	0.531600	+	0.172727i	0.562503	−	0.826795i	$-0.309838\pi$
$953$	16.4109	+	5.33221i	0.531600	+	0.172727i	−0.0309032	+	0.999522i	$0.509838\pi$
$954$	34.7369	−	38.9407i	1.12465	−	1.26075i
$955$	−9.82405	−	14.4796i	−0.317899	−	0.468548i
$956$	−13.3748	−	20.3597i	−0.432571	−	0.658481i
$957$	−13.0313	−	23.2146i	−0.421243	−	0.750421i
$958$	−13.7035	−	28.5362i	−0.442739	−	0.921964i
$959$	−2.80242	−	2.03608i	−0.0904949	−	0.0657484i
$960$	−29.6877	−	8.86793i	−0.958167	−	0.286211i
$961$	16.1352	−	11.7229i	0.520489	−	0.378158i
$962$	7.26071	+	3.91752i	0.234095	+	0.126306i
$963$	−17.9717	+	7.48629i	−0.579130	+	0.241242i
$964$	14.2695	−	17.8124i	0.459590	−	0.573699i
$965$	3.85572	+	1.39149i	0.124120	+	0.0447938i
$966$	0.0379294	+	2.26770i	0.00122036	+	0.0729621i
$967$	25.1367	−	8.16741i	0.808341	−	0.262646i	0.124446	−	0.992226i	$-0.460285\pi$
$967$	25.1367	−	8.16741i	0.808341	−	0.262646i	0.683895	+	0.729580i	$0.260285\pi$
$968$	−18.0564	+	7.64689i	−0.580353	+	0.245781i
$969$	−13.3579	−	12.3232i	−0.429118	−	0.395877i
$970$	2.75762	+	27.1159i	0.0885417	+	0.870640i
$971$	−10.7114	+	32.9664i	−0.343746	+	1.05794i	0.618506	+	0.785780i	$0.287738\pi$
$971$	−10.7114	+	32.9664i	−0.343746	+	1.05794i	−0.962252	+	0.272161i	$0.912262\pi$
$972$	18.3964	−	25.1709i	0.590064	−	0.807356i
$973$	12.6783	−	9.21134i	0.406448	−	0.295302i
$974$	−0.303321	−	2.25798i	−0.00971903	−	0.0723503i
$975$	−37.0414	+	17.7625i	−1.18627	+	0.568856i
$976$	−21.6846	+	12.8261i	−0.694106	+	0.410553i
$977$	−5.28930	−	7.28009i	−0.169220	−	0.232911i	0.715982	−	0.698119i	$-0.245979\pi$
$977$	−5.28930	−	7.28009i	−0.169220	−	0.232911i	−0.885201	+	0.465208i	$0.845979\pi$
$978$	−3.28974	+	1.13007i	−0.105194	+	0.0361356i
$979$	−24.0436	−	7.81223i	−0.768436	−	0.249680i
$980$	11.0652	−	26.6581i	0.353464	−	0.851563i
$981$	24.3401	+	5.79205i	0.777119	+	0.184926i
$982$	23.9842	−	3.22187i	0.765367	−	0.102814i
$983$	−2.21968	−	6.83147i	−0.0707968	−	0.217890i	0.909398	−	0.415928i	$-0.136543\pi$
$983$	−2.21968	−	6.83147i	−0.0707968	−	0.217890i	−0.980194	+	0.198038i	$0.936543\pi$
$984$	−2.38459	−	8.17581i	−0.0760179	−	0.260635i
$985$	18.6153	+	14.4624i	0.593132	+	0.460812i
$986$	−27.5057	+	26.2400i	−0.875961	+	0.835652i
$987$	−1.51476	+	12.9088i	−0.0482154	+	0.410891i
$988$	9.97561	−	26.4022i	0.317366	−	0.839967i
$989$	1.80160	+	2.47970i	0.0572877	+	0.0788497i
$990$	2.52327	−	18.9653i	0.0801948	−	0.602758i
$991$	−24.4206	+	33.6121i	−0.775745	+	1.06772i	0.219993	+	0.975501i	$0.429397\pi$
$991$	−24.4206	+	33.6121i	−0.775745	+	1.06772i	−0.995739	+	0.0922206i	$0.970603\pi$
$992$	−22.4290	+	33.5731i	−0.712121	+	1.06595i
$993$	9.55775	+	17.0266i	0.303306	+	0.540323i
$994$	−13.1972	+	6.33747i	−0.418590	+	0.201012i
$995$	15.0814	−	41.7894i	0.478113	−	1.32481i
$996$	4.44377	+	8.87047i	0.140806	+	0.281072i
$997$	8.76401	−	26.9728i	0.277559	−	0.854239i	−0.710972	−	0.703220i	$-0.751745\pi$
$997$	8.76401	−	26.9728i	0.277559	−	0.854239i	0.988531	−	0.151018i	$-0.0482552\pi$
$998$	10.5088	+	11.0157i	0.332650	+	0.348696i
$999$	−0.231719	+	6.38620i	−0.00733126	+	0.202050i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.n.a.11.13	yes	224
3.2	odd	2	inner	300.2.n.a.11.44	yes	224
4.3	odd	2	inner	300.2.n.a.11.47	yes	224
12.11	even	2	inner	300.2.n.a.11.10	✓	224
25.16	even	5	inner	300.2.n.a.191.10	yes	224
75.41	odd	10	inner	300.2.n.a.191.47	yes	224
100.91	odd	10	inner	300.2.n.a.191.44	yes	224
300.191	even	10	inner	300.2.n.a.191.13	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.n.a.11.10	✓	224	12.11	even	2	inner
300.2.n.a.11.13	yes	224	1.1	even	1	trivial
300.2.n.a.11.44	yes	224	3.2	odd	2	inner
300.2.n.a.11.47	yes	224	4.3	odd	2	inner
300.2.n.a.191.10	yes	224	25.16	even	5	inner
300.2.n.a.191.13	yes	224	300.191	even	10	inner
300.2.n.a.191.44	yes	224	100.91	odd	10	inner
300.2.n.a.191.47	yes	224	75.41	odd	10	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.02327 + 0.976179i) q^{2} +(0.339606 + 1.69843i) q^{3} +(0.0941493 - 1.99778i) q^{4} +(2.10329 + 0.759058i) q^{5} +(-2.00548 - 1.40643i) q^{6} +0.738888i q^{7} +(1.85385 + 2.13617i) q^{8} +(-2.76934 + 1.15359i) q^{9} +O(q^{10})\)	\(q+(-1.02327 + 0.976179i) q^{2} +(0.339606 + 1.69843i) q^{3} +(0.0941493 - 1.99778i) q^{4} +(2.10329 + 0.759058i) q^{5} +(-2.00548 - 1.40643i) q^{6} +0.738888i q^{7} +(1.85385 + 2.13617i) q^{8} +(-2.76934 + 1.15359i) q^{9} +(-2.89320 + 1.27647i) q^{10} +(1.63157 - 1.18541i) q^{11} +(3.42507 - 0.518553i) q^{12} +(3.83758 + 2.78817i) q^{13} +(-0.721287 - 0.756079i) q^{14} +(-0.574919 + 3.83007i) q^{15} +(-3.98227 - 0.376180i) q^{16} +(-3.35436 + 1.08990i) q^{17} +(1.70765 - 3.88380i) q^{18} +(2.82939 - 0.919326i) q^{19} +(1.71446 - 4.13045i) q^{20} +(-1.25495 + 0.250931i) q^{21} +(-0.512365 + 2.80570i) q^{22} +(-1.01379 + 0.736564i) q^{23} +(-2.99856 + 3.87410i) q^{24} +(3.84766 + 3.19304i) q^{25} +(-6.64862 + 0.893130i) q^{26} +(-2.89978 - 4.31176i) q^{27} +(1.47614 + 0.0695658i) q^{28} +(-7.24833 - 2.35512i) q^{29} +(-3.15054 - 4.48041i) q^{30} +(-6.78818 + 2.20561i) q^{31} +(4.44214 - 3.50248i) q^{32} +(2.56743 + 2.36854i) q^{33} +(2.36847 - 4.38971i) q^{34} +(-0.560859 + 1.55410i) q^{35} +(2.04390 + 5.64114i) q^{36} +(-0.994956 - 0.722878i) q^{37} +(-1.99780 + 3.70271i) q^{38} +(-3.43225 + 7.46475i) q^{39} +(2.27771 + 5.90017i) q^{40} +(-1.02181 + 1.40641i) q^{41} +(1.03920 - 1.48183i) q^{42} -2.44596i q^{43} +(-2.21458 - 3.37114i) q^{44} +(-6.70036 + 0.324255i) q^{45} +(0.318363 - 1.74335i) q^{46} +(3.13833 - 9.65878i) q^{47} +(-0.713488 - 6.89137i) q^{48} +6.45404 q^{49} +(-7.05416 + 0.488673i) q^{50} +(-2.99027 - 5.32701i) q^{51} +(5.93146 - 7.40416i) q^{52} +(11.6976 + 3.80078i) q^{53} +(7.17630 + 1.58137i) q^{54} +(4.33147 - 1.25480i) q^{55} +(-1.57839 + 1.36979i) q^{56} +(2.52229 + 4.49332i) q^{57} +(9.71600 - 4.66575i) q^{58} +(3.97523 + 2.88818i) q^{59} +(7.59753 + 1.50916i) q^{60} +(5.09556 - 3.70214i) q^{61} +(4.79305 - 8.88341i) q^{62} +(-0.852377 - 2.04623i) q^{63} +(-1.12645 + 7.92030i) q^{64} +(5.95517 + 8.77728i) q^{65} +(-4.93928 + 0.0826142i) q^{66} +(-8.81266 + 2.86341i) q^{67} +(1.86157 + 6.80389i) q^{68} +(-1.59529 - 1.47172i) q^{69} +(-0.943167 - 2.13775i) q^{70} +(4.32943 - 13.3246i) q^{71} +(-7.59822 - 3.77718i) q^{72} +(-4.33209 + 3.14745i) q^{73} +(1.72376 - 0.231558i) q^{74} +(-4.11647 + 7.61936i) q^{75} +(-1.57023 - 5.73907i) q^{76} +(0.875884 + 1.20555i) q^{77} +(-3.77483 - 10.9889i) q^{78} +(14.7649 + 4.79739i) q^{79} +(-8.09033 - 3.81399i) q^{80} +(6.33844 - 6.38938i) q^{81} +(-0.327316 - 2.43660i) q^{82} +(0.885035 + 2.72386i) q^{83} +(0.383152 + 2.53074i) q^{84} +(-7.88248 - 0.253784i) q^{85} +(2.38769 + 2.50286i) q^{86} +(1.53844 - 13.1106i) q^{87} +(5.55693 + 1.28775i) q^{88} +(-7.36821 - 10.1415i) q^{89} +(6.53973 - 6.87255i) q^{90} +(-2.06014 + 2.83555i) q^{91} +(1.37605 + 2.09469i) q^{92} +(-6.05139 - 10.7802i) q^{93} +(6.21735 + 12.9471i) q^{94} +(6.64886 + 0.214066i) q^{95} +(7.45730 + 6.35521i) q^{96} +(2.66343 - 8.19720i) q^{97} +(-6.60421 + 6.30030i) q^{98} +(-3.15090 + 5.16497i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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