LMFDB - Embedded newform 296.2.bj.a.19.15

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(19,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([18, 18, 35])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.19"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.bj (of order $36$, degree $12$, 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:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$36$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			19.15
Character	$\chi$	$=$	296.19
Dual form			296.2.bj.a.187.15

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.520633 + 1.31489i) q^{2} +(-1.99237 - 2.37441i) q^{3} +(-1.45788 - 1.36915i) q^{4} +(1.81016 - 0.844089i) q^{5} +(4.15938 - 1.38355i) q^{6} +(0.0212805 - 0.0584676i) q^{7} +(2.55931 - 1.20413i) q^{8} +(-1.14735 + 6.50696i) q^{9} +(0.167459 + 2.81962i) q^{10} +(-2.76083 - 1.59397i) q^{11} +(-0.346295 + 6.18946i) q^{12} +(-3.32746 - 2.32991i) q^{13} +(0.0657993 + 0.0584217i) q^{14} +(-5.61071 - 2.61631i) q^{15} +(0.250840 + 3.99213i) q^{16} +(0.380728 - 0.266588i) q^{17} +(-7.95860 - 4.89638i) q^{18} +(-2.95987 - 0.258955i) q^{19} +(-3.79468 - 1.24780i) q^{20} +(-0.181225 + 0.0659603i) q^{21} +(3.53328 - 2.80032i) q^{22} +(-1.78023 - 0.477010i) q^{23} +(-7.95818 - 3.67778i) q^{24} +(-0.649762 + 0.774356i) q^{25} +(4.79597 - 3.16222i) q^{26} +(9.68321 - 5.59060i) q^{27} +(-0.111076 + 0.0561027i) q^{28} +(-2.62324 + 0.702896i) q^{29} +(6.36129 - 6.01533i) q^{30} +(-6.47914 - 6.47914i) q^{31} +(-5.37981 - 1.74861i) q^{32} +(1.71586 + 9.73111i) q^{33} +(0.152315 + 0.639410i) q^{34} +(-0.0108309 - 0.123798i) q^{35} +(10.5817 - 7.91548i) q^{36} +(5.84962 + 1.66790i) q^{37} +(1.88150 - 3.75708i) q^{38} +(1.09735 + 12.5428i) q^{39} +(3.61636 - 4.33995i) q^{40} +(-8.93019 + 1.57463i) q^{41} +(0.00762079 - 0.272632i) q^{42} +(7.66465 + 7.66465i) q^{43} +(1.84258 + 6.10382i) q^{44} +(3.41557 + 12.7471i) q^{45} +(1.55406 - 2.09246i) q^{46} +(3.88346 - 2.24211i) q^{47} +(8.97918 - 8.54938i) q^{48} +(5.35935 + 4.49702i) q^{49} +(-0.679907 - 1.25752i) q^{50} +(-1.39154 - 0.372862i) q^{51} +(1.66104 + 7.95254i) q^{52} +(-4.44461 - 12.2115i) q^{53} +(2.30964 + 15.6430i) q^{54} +(-6.34299 - 0.554940i) q^{55} +(-0.0159393 - 0.175261i) q^{56} +(5.28227 + 7.54387i) q^{57} +(0.441516 - 3.81523i) q^{58} +(-10.0718 - 4.69658i) q^{59} +(4.59761 + 11.4962i) q^{60} +(7.59595 - 10.8481i) q^{61} +(11.8926 - 5.14611i) q^{62} +(0.356030 + 0.205554i) q^{63} +(5.10014 - 6.16349i) q^{64} +(-7.98988 - 1.40883i) q^{65} +(-13.6887 - 2.81017i) q^{66} +(-1.84641 + 5.07296i) q^{67} +(-0.920056 - 0.132620i) q^{68} +(2.41424 + 5.17736i) q^{69} +(0.168420 + 0.0502119i) q^{70} +(3.29810 + 3.93052i) q^{71} +(4.89880 + 18.0349i) q^{72} -12.1893i q^{73} +(-5.23862 + 6.82326i) q^{74} +3.13320 q^{75} +(3.96059 + 4.43004i) q^{76} +(-0.151947 + 0.127499i) q^{77} +(-17.0637 - 5.08729i) q^{78} +(5.48050 - 2.55560i) q^{79} +(3.82377 + 7.01464i) q^{80} +(-13.9403 - 5.07384i) q^{81} +(2.57888 - 12.5620i) q^{82} +(-0.0367309 + 0.208311i) q^{83} +(0.354514 + 0.151962i) q^{84} +(0.464152 - 0.803934i) q^{85} +(-14.0687 + 6.08772i) q^{86} +(6.89543 + 4.82823i) q^{87} +(-8.98517 - 0.755053i) q^{88} +(4.07747 - 8.74416i) q^{89} +(-18.5393 - 2.14545i) q^{90} +(-0.207034 + 0.144967i) q^{91} +(1.94226 + 3.13282i) q^{92} +(-2.47531 + 28.2929i) q^{93} +(0.926282 + 6.27364i) q^{94} +(-5.57640 + 2.02964i) q^{95} +(6.56665 + 16.2577i) q^{96} +(-0.678025 + 2.53042i) q^{97} +(-8.70336 + 4.70566i) q^{98} +(13.5395 - 16.1358i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) $ 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{35}{36}\right)$	$-1$	$-1$

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 $

$2$	−0.520633	+	1.31489i	−0.368143	+	0.929769i
$2$	−0.520633	+	1.31489i	−0.368143	+	0.929769i
$3$	−1.99237	−	2.37441i	−1.15029	−	1.37087i	−0.917208	−	0.398409i	$-0.869562\pi$
$3$	−1.99237	−	2.37441i	−1.15029	−	1.37087i	−0.233085	−	0.972456i	$-0.574882\pi$
$4$	−1.45788	−	1.36915i	−0.728941	−	0.684576i
$5$	1.81016	−	0.844089i	0.809526	−	0.377488i	0.0266337	−	0.999645i	$-0.491521\pi$
$5$	1.81016	−	0.844089i	0.809526	−	0.377488i	0.782892	+	0.622157i	$0.213743\pi$
$6$	4.15938	−	1.38355i	1.69806	−	0.564832i
$7$	0.0212805	−	0.0584676i	0.00804326	−	0.0220987i	−0.935606	−	0.353046i	$-0.885146\pi$
$7$	0.0212805	−	0.0584676i	0.00804326	−	0.0220987i	0.943649	+	0.330947i	$0.107368\pi$
$8$	2.55931	−	1.20413i	0.904853	−	0.425725i
$9$	−1.14735	+	6.50696i	−0.382451	+	2.16899i
$10$	0.167459	+	2.81962i	0.0529553	+	0.891642i
$11$	−2.76083	−	1.59397i	−0.832422	−	0.480599i	0.0222590	−	0.999752i	$-0.492914\pi$
$11$	−2.76083	−	1.59397i	−0.832422	−	0.480599i	−0.854681	+	0.519153i	$0.826248\pi$
$12$	−0.346295	+	6.18946i	−0.0999667	+	1.78674i
$13$	−3.32746	−	2.32991i	−0.922871	−	0.646202i	0.0124797	−	0.999922i	$-0.496027\pi$
$13$	−3.32746	−	2.32991i	−0.922871	−	0.646202i	−0.935351	+	0.353721i	$0.884916\pi$
$14$	0.0657993	+	0.0584217i	0.0175856	+	0.0156139i
$15$	−5.61071	−	2.61631i	−1.44868	−	0.675530i
$16$	0.250840	+	3.99213i	0.0627101	+	0.998032i
$17$	0.380728	−	0.266588i	0.0923400	−	0.0646572i	−0.526495	−	0.850178i	$-0.676494\pi$
$17$	0.380728	−	0.266588i	0.0923400	−	0.0646572i	0.618835	+	0.785521i	$0.287605\pi$
$18$	−7.95860	−	4.89638i	−1.87586	−	1.15409i
$19$	−2.95987	−	0.258955i	−0.679040	−	0.0594083i	−0.257582	−	0.966256i	$-0.582926\pi$
$19$	−2.95987	−	0.258955i	−0.679040	−	0.0594083i	−0.421458	+	0.906848i	$0.638481\pi$
$20$	−3.79468	−	1.24780i	−0.848516	−	0.279016i
$21$	−0.181225	+	0.0659603i	−0.0395464	+	0.0143937i
$22$	3.53328	−	2.80032i	0.753297	−	0.597031i
$23$	−1.78023	−	0.477010i	−0.371203	−	0.0994634i	0.0683949	−	0.997658i	$-0.478212\pi$
$23$	−1.78023	−	0.477010i	−0.371203	−	0.0994634i	−0.439597	+	0.898195i	$0.644879\pi$
$24$	−7.95818	−	3.67778i	−1.62446	−	0.750724i
$25$	−0.649762	+	0.774356i	−0.129952	+	0.154871i
$26$	4.79597	−	3.16222i	0.940567	−	0.620163i
$27$	9.68321	−	5.59060i	1.86353	−	1.07591i
$28$	−0.111076	+	0.0561027i	−0.0209913	+	0.0106024i
$29$	−2.62324	+	0.702896i	−0.487124	+	0.130525i	−0.494018	−	0.869452i	$-0.664472\pi$
$29$	−2.62324	+	0.702896i	−0.487124	+	0.130525i	0.00689369	+	0.999976i	$0.497806\pi$
$30$	6.36129	−	6.01533i	1.16141	−	1.09824i
$31$	−6.47914	−	6.47914i	−1.16369	−	1.16369i	−0.983662	−	0.180026i	$-0.942382\pi$
$31$	−6.47914	−	6.47914i	−1.16369	−	1.16369i	−0.180026	−	0.983662i	$-0.557618\pi$
$32$	−5.37981	−	1.74861i	−0.951025	−	0.309113i
$33$	1.71586	+	9.73111i	0.298692	+	1.69397i
$34$	0.152315	+	0.639410i	0.0261219	+	0.109658i
$35$	−0.0108309	−	0.123798i	−0.00183076	−	0.0209257i
$36$	10.5817	−	7.91548i	1.76362	−	1.31925i
$37$	5.84962	+	1.66790i	0.961672	+	0.274202i
$37$	5.84962	+	1.66790i	0.961672	+	0.274202i
$38$	1.88150	−	3.75708i	0.305220	−	0.609480i
$39$	1.09735	+	12.5428i	0.175717	+	2.00845i
$40$	3.61636	−	4.33995i	0.571796	−	0.686206i
$41$	−8.93019	+	1.57463i	−1.39466	+	0.245916i	−0.819948	−	0.572438i	$-0.805998\pi$
$41$	−8.93019	+	1.57463i	−1.39466	+	0.245916i	−0.574714	+	0.818355i	$0.694887\pi$
$42$	0.00762079	−	0.272632i	0.00117591	−	0.0420680i
$43$	7.66465	+	7.66465i	1.16885	+	1.16885i	0.982480	+	0.186369i	$0.0596720\pi$
$43$	7.66465	+	7.66465i	1.16885	+	1.16885i	0.186369	+	0.982480i	$0.440328\pi$
$44$	1.84258	+	6.10382i	0.277780	+	0.920185i
$45$	3.41557	+	12.7471i	0.509163	+	1.90022i
$46$	1.55406	−	2.09246i	0.229134	−	0.308516i
$47$	3.88346	−	2.24211i	0.566460	−	0.327046i	−0.189274	−	0.981924i	$-0.560613\pi$
$47$	3.88346	−	2.24211i	0.566460	−	0.327046i	0.755734	+	0.654878i	$0.227280\pi$
$48$	8.97918	−	8.54938i	1.29603	−	1.23400i
$49$	5.35935	+	4.49702i	0.765621	+	0.642432i
$50$	−0.679907	−	1.25752i	−0.0961534	−	0.177841i
$51$	−1.39154	−	0.372862i	−0.194854	−	0.0522111i
$52$	1.66104	+	7.95254i	0.230345	+	1.10282i
$53$	−4.44461	−	12.2115i	−0.610514	−	1.67737i	−0.729081	−	0.684428i	$-0.760052\pi$
$53$	−4.44461	−	12.2115i	−0.610514	−	1.67737i	0.118567	−	0.992946i	$-0.462170\pi$
$54$	2.30964	+	15.6430i	0.314302	+	2.12875i
$55$	−6.34299	−	0.554940i	−0.855288	−	0.0748280i
$56$	−0.0159393	−	0.175261i	−0.00212998	−	0.0234203i
$57$	5.28227	+	7.54387i	0.699654	+	0.999210i
$58$	0.441516	−	3.81523i	0.0579738	−	0.500965i
$59$	−10.0718	−	4.69658i	−1.31124	−	0.611442i	−0.363832	−	0.931465i	$-0.618532\pi$
$59$	−10.0718	−	4.69658i	−1.31124	−	0.611442i	−0.947410	+	0.320022i	$0.896310\pi$
$60$	4.59761	+	11.4962i	0.593549	+	1.48415i
$61$	7.59595	−	10.8481i	0.972562	−	1.38896i	0.0518773	−	0.998653i	$-0.483480\pi$
$61$	7.59595	−	10.8481i	0.972562	−	1.38896i	0.920684	−	0.390308i	$-0.127632\pi$
$62$	11.8926	−	5.14611i	1.51036	−	0.653557i
$63$	0.356030	+	0.205554i	0.0448556	+	0.0258974i
$64$	5.10014	−	6.16349i	0.637517	−	0.770436i
$65$	−7.98988	−	1.40883i	−0.991022	−	0.174744i
$66$	−13.6887	−	2.81017i	−1.68496	−	0.345908i
$67$	−1.84641	+	5.07296i	−0.225574	+	0.619760i	−0.999915	−	0.0130080i	$-0.995859\pi$
$67$	−1.84641	+	5.07296i	−0.225574	+	0.619760i	0.774341	+	0.632768i	$0.218082\pi$
$68$	−0.920056	−	0.132620i	−0.111573	−	0.0160825i
$69$	2.41424	+	5.17736i	0.290641	+	0.623281i
$70$	0.168420	+	0.0502119i	0.0201301	+	0.00600147i
$71$	3.29810	+	3.93052i	0.391412	+	0.466467i	0.925381	−	0.379037i	$-0.123745\pi$
$71$	3.29810	+	3.93052i	0.391412	+	0.466467i	−0.533969	+	0.845504i	$0.679300\pi$
$72$	4.89880	+	18.0349i	0.577329	+	2.12543i
$73$		−	12.1893i		−	1.42665i	−0.700834	−	0.713324i	$-0.747189\pi$
$73$		−	12.1893i		−	1.42665i	0.700834	−	0.713324i	$-0.252811\pi$
$74$	−5.23862	+	6.82326i	−0.608978	+	0.793187i
$75$	3.13320			0.361791
$76$	3.96059	+	4.43004i	0.454311	+	0.508160i
$77$	−0.151947	+	0.127499i	−0.0173160	+	0.0145299i
$78$	−17.0637	−	5.08729i	−1.93209	−	0.576023i
$79$	5.48050	−	2.55560i	0.616604	−	0.287527i	−0.0891124	−	0.996022i	$-0.528403\pi$
$79$	5.48050	−	2.55560i	0.616604	−	0.287527i	0.705716	+	0.708494i	$0.250625\pi$
$80$	3.82377	+	7.01464i	0.427511	+	0.784260i
$81$	−13.9403	−	5.07384i	−1.54892	−	0.563760i
$82$	2.57888	−	12.5620i	0.284790	−	1.38725i
$83$	−0.0367309	+	0.208311i	−0.00403174	+	0.0228651i	−0.986757	−	0.162204i	$-0.948140\pi$
$83$	−0.0367309	+	0.208311i	−0.00403174	+	0.0228651i	0.982726	+	0.185069i	$0.0592509\pi$
$84$	0.354514	+	0.151962i	0.0386806	+	0.0165804i
$85$	0.464152	−	0.803934i	0.0503443	−	0.0871989i
$86$	−14.0687	+	6.08772i	−1.51706	+	0.656456i
$87$	6.89543	+	4.82823i	0.739267	+	0.517641i
$88$	−8.98517	−	0.755053i	−0.957823	−	0.0804889i
$89$	4.07747	−	8.74416i	0.432211	−	0.926879i	−0.562751	−	0.826626i	$-0.690257\pi$
$89$	4.07747	−	8.74416i	0.432211	−	0.926879i	0.994962	−	0.100253i	$-0.0319652\pi$
$90$	−18.5393	−	2.14545i	−1.95421	−	0.226150i
$91$	−0.207034	+	0.144967i	−0.0217031	+	0.0151967i
$92$	1.94226	+	3.13282i	0.202494	+	0.326620i
$93$	−2.47531	+	28.2929i	−0.256678	+	2.93384i
$94$	0.926282	+	6.27364i	0.0955387	+	0.647077i
$95$	−5.57640	+	2.02964i	−0.572127	+	0.208237i
$96$	6.56665	+	16.2577i	0.670206	+	1.65930i
$97$	−0.678025	+	2.53042i	−0.0688430	+	0.256926i	−0.991767	−	0.128057i	$-0.959126\pi$
$97$	−0.678025	+	2.53042i	−0.0688430	+	0.256926i	0.922924	+	0.384983i	$0.125793\pi$
$98$	−8.70336	+	4.70566i	−0.879172	+	0.475343i
$99$	13.5395	−	16.1358i	1.36077	−	1.62171i
$100$	2.00749	−	0.239296i	0.200749	−	0.0239296i
$101$	0.834456	+	1.44532i	0.0830315	+	0.143815i	0.904551	−	0.426366i	$-0.140206\pi$
$101$	0.834456	+	1.44532i	0.0830315	+	0.143815i	−0.821519	+	0.570181i	$0.806873\pi$
$102$	1.21475	−	1.63560i	0.120279	−	0.161948i
$103$	18.2778	−	4.89752i	1.80096	−	0.482567i	0.806835	−	0.590777i	$-0.201179\pi$
$103$	18.2778	−	4.89752i	1.80096	−	0.482567i	0.994128	+	0.108210i	$0.0345119\pi$
$104$	−11.3215	−	1.95627i	−1.11017	−	0.191828i
$105$	−0.272368	+	0.272368i	−0.0265804	+	0.0265804i
$106$	18.3708	+	0.513512i	1.78433	+	0.0498767i
$107$	−0.247300	−	1.40251i	−0.0239074	−	0.135586i	0.970518	−	0.241029i	$-0.0774849\pi$
$107$	−0.247300	−	1.40251i	−0.0239074	−	0.135586i	−0.994425	+	0.105443i	$0.966374\pi$
$108$	−21.7714	−	5.10735i	−2.09495	−	0.491455i
$109$	−8.42031	+	0.736682i	−0.806519	+	0.0705613i	−0.482955	−	0.875645i	$-0.660437\pi$
$109$	−8.42031	+	0.736682i	−0.806519	+	0.0705613i	−0.323564	+	0.946206i	$0.604881\pi$
$110$	4.03206	−	8.05142i	0.384441	−	0.767673i
$111$	−7.69430	−	17.2125i	−0.730311	−	1.63374i
$112$	0.238748	+	0.0702883i	0.0225596	+	0.00664162i
$113$	4.44745	−	0.389101i	0.418381	−	0.0366036i	0.123978	−	0.992285i	$-0.460435\pi$
$113$	4.44745	−	0.389101i	0.418381	−	0.0366036i	0.294403	+	0.955681i	$0.404879\pi$
$114$	−12.6695	+	3.01803i	−1.18661	+	0.282664i
$115$	−3.62512	+	0.639207i	−0.338044	+	0.0596064i
$116$	4.78675	+	2.56688i	0.444439	+	0.238329i
$117$	18.9784	−	18.9784i	1.75456	−	1.75456i
$118$	11.4192	−	10.7982i	1.05123	−	0.994054i
$119$	−0.00748472	−	0.0279334i	−0.000686123	−	0.00256065i
$120$	−17.5099	+	0.0600630i	−1.59843	+	0.00548298i
$121$	−0.418535	−	0.724924i	−0.0380486	−	0.0659022i
$122$	10.3094	+	15.6358i	0.933372	+	1.41559i
$123$	21.5310	+	18.0667i	1.94139	+	1.62902i
$124$	0.574888	+	18.3168i	0.0516265	+	1.64489i
$125$	−3.10722	+	11.5963i	−0.277918	+	1.03721i
$126$	−0.455643	+	0.361123i	−0.0405919	+	0.0321714i
$127$	−0.968570	−	2.66112i	−0.0859467	−	0.236137i	0.889272	−	0.457378i	$-0.151211\pi$
$127$	−0.968570	−	2.66112i	−0.0859467	−	0.236137i	−0.975219	+	0.221241i	$0.928989\pi$
$128$	5.44902	+	9.91505i	0.481630	+	0.876375i
$129$	2.92823	−	33.4698i	0.257816	−	2.94685i
$130$	6.01225	−	9.77234i	0.527310	−	0.857091i
$131$	−3.44426	−	4.91891i	−0.300926	−	0.429767i	0.640002	−	0.768373i	$-0.278933\pi$
$131$	−3.44426	−	4.91891i	−0.300926	−	0.429767i	−0.940928	+	0.338606i	$0.890045\pi$
$132$	10.8219	−	16.5361i	0.941922	−	1.43928i
$133$	−0.0781278	+	0.167546i	−0.00677454	+	0.0145281i
$134$	−5.70909	−	5.06897i	−0.493190	−	0.437893i
$135$	12.8091	−	18.2934i	1.10244	−	1.57444i
$136$	0.653393	−	1.14073i	0.0560280	−	0.0978166i
$137$	−2.07582	+	3.59543i	−0.177350	+	0.307179i	−0.940972	−	0.338485i	$-0.890086\pi$
$137$	−2.07582	+	3.59543i	−0.177350	+	0.307179i	0.763622	+	0.645663i	$0.223419\pi$
$138$	−8.06461	+	0.478963i	−0.686505	+	0.0407720i
$139$	−0.0570766	−	0.0100641i	−0.00484117	−	0.000853629i	0.171227	−	0.985232i	$-0.445227\pi$
$139$	−0.0570766	−	0.0100641i	−0.00484117	−	0.000853629i	−0.176068	+	0.984378i	$0.556338\pi$
$140$	−0.153708	+	0.195312i	−0.0129907	+	0.0165069i
$141$	−13.0610	−	4.75380i	−1.09993	−	0.400342i
$142$	−6.88531	+	2.29028i	−0.577802	+	0.192196i
$143$	5.47276	+	11.7364i	0.457655	+	0.981444i
$144$	−26.2644	−	2.94817i	−2.18870	−	0.245681i
$145$	−4.15517	+	3.48660i	−0.345068	+	0.289547i
$146$	16.0276	+	6.34615i	1.32645	+	0.525211i
$147$		−	21.6850i		−	1.78855i
$148$	−6.24444	−	10.4406i	−0.513290	−	0.858215i
$149$		−	17.6111i		−	1.44275i	−0.692543	−	0.721377i	$-0.743510\pi$
$149$		−	17.6111i		−	1.44275i	0.692543	−	0.721377i	$-0.256490\pi$
$150$	−1.63125	+	4.11982i	−0.133191	+	0.336382i
$151$	10.7367	−	9.00916i	0.873741	−	0.733155i	−0.0911417	−	0.995838i	$-0.529052\pi$
$151$	10.7367	−	9.00916i	0.873741	−	0.733155i	0.964882	+	0.262683i	$0.0846072\pi$
$152$	−7.88703	+	2.90132i	−0.639723	+	0.235328i
$153$	1.29785	+	2.78325i	0.104925	+	0.225012i
$154$	−0.0885385	−	0.266175i	−0.00713464	−	0.0214490i
$155$	−17.1972	−	6.25928i	−1.38131	−	0.502757i
$156$	15.5732	−	19.7884i	1.24685	−	1.58434i
$157$	−8.39722	−	1.48066i	−0.670171	−	0.118169i	−0.171798	−	0.985132i	$-0.554958\pi$
$157$	−8.39722	−	1.48066i	−0.670171	−	0.118169i	−0.498373	+	0.866963i	$0.666069\pi$
$158$	0.507006	+	8.53679i	0.0403352	+	0.679151i
$159$	−20.1397	+	34.8830i	−1.59718	+	2.76640i
$160$	−11.2143	+	1.37579i	−0.886566	+	0.108766i
$161$	−0.0657737	+	0.0939345i	−0.00518369	+	0.00740308i
$162$	13.9293	−	15.6883i	1.09439	−	1.23259i
$163$	0.886686	−	1.90150i	0.0694506	−	0.148937i	−0.868518	−	0.495658i	$-0.834927\pi$
$163$	0.886686	−	1.90150i	0.0694506	−	0.148937i	0.937968	+	0.346721i	$0.112705\pi$
$164$	15.1751	+	9.93117i	1.18497	+	0.775494i
$165$	11.3199	+	16.1665i	0.881253	+	1.25856i
$166$	−0.254784	−	0.156751i	−0.0197750	−	0.0121662i
$167$	0.374831	−	4.28434i	0.0290053	−	0.331532i	−0.967804	−	0.251707i	$-0.919008\pi$
$167$	0.374831	−	4.28434i	0.0290053	−	0.331532i	0.996809	−	0.0798254i	$-0.0254363\pi$
$168$	−0.384385	+	0.387031i	−0.0296559	+	0.0298601i
$169$	1.19724	+	3.28938i	0.0920952	+	0.253029i
$170$	0.815434	+	1.02886i	0.0625409	+	0.0789103i
$171$	5.08102	−	18.9626i	0.388555	−	1.45011i
$172$	−0.680078	−	21.6682i	−0.0518555	−	1.65219i
$173$	−7.59597	−	6.37378i	−0.577511	−	0.484589i	0.306618	−	0.951833i	$-0.400803\pi$
$173$	−7.59597	−	6.37378i	−0.577511	−	0.484589i	−0.884129	+	0.467243i	$0.845247\pi$
$174$	−9.93859	+	6.55300i	−0.753442	+	0.496782i
$175$	0.0314475	+	0.0544687i	0.00237721	+	0.00411745i
$176$	5.67079	−	11.4214i	0.427452	−	0.860922i
$177$	8.91520	+	33.2720i	0.670107	+	2.50087i
$178$	9.37476	+	9.91393i	0.702668	+	0.743081i
$179$	−18.0358	+	18.0358i	−1.34806	+	1.34806i	−0.460296	+	0.887766i	$0.652257\pi$
$179$	−18.0358	+	18.0358i	−1.34806	+	1.34806i	−0.887766	+	0.460296i	$0.847743\pi$
$180$	12.4732	−	23.2602i	0.929697	−	1.73371i
$181$	4.69293	−	0.827491i	0.348823	−	0.0615069i	0.00350824	−	0.999994i	$-0.498883\pi$
$181$	4.69293	−	0.827491i	0.348823	−	0.0615069i	0.345315	+	0.938487i	$0.387772\pi$
$182$	−0.0828270	−	0.347703i	−0.00613955	−	0.0257734i
$183$	−40.8918	+	3.57757i	−3.02281	+	0.264462i
$184$	−5.13053	+	0.922808i	−0.378228	+	0.0680303i
$185$	11.9966	−	1.91844i	0.882007	−	0.141046i
$186$	−35.9134	−	17.9850i	−2.63330	−	1.31873i
$187$	−1.47606	+	0.129138i	−0.107940	+	0.00944353i
$188$	−8.73142	−	2.04831i	−0.636804	−	0.149388i
$189$	−0.120806	−	0.685125i	−0.00878734	−	0.0498355i
$190$	0.234497	−	8.38906i	0.0170122	−	0.608607i
$191$	−9.00665	+	9.00665i	−0.651698	+	0.651698i	−0.953402	−	0.301703i	$-0.902445\pi$
$191$	−9.00665	+	9.00665i	−0.651698	+	0.651698i	0.301703	+	0.953402i	$0.402445\pi$
$192$	−24.7960	+	0.170114i	−1.78950	+	0.0122769i
$193$	18.4348	−	4.93958i	1.32696	−	0.355559i	0.475381	−	0.879780i	$-0.342310\pi$
$193$	18.4348	−	4.93958i	1.32696	−	0.355559i	0.851582	+	0.524221i	$0.175643\pi$
$194$	−2.97423	−	2.20895i	−0.213537	−	0.158594i
$195$	12.5736	+	21.7781i	0.900415	+	1.55956i
$196$	−1.65618	−	13.8939i	−0.118298	−	0.992421i
$197$	8.16427	−	9.72980i	0.581680	−	0.693220i	−0.392304	−	0.919836i	$-0.628322\pi$
$197$	8.16427	−	9.72980i	0.581680	−	0.693220i	0.973984	+	0.226616i	$0.0727662\pi$
$198$	14.1677	+	26.2038i	1.00685	+	1.86223i
$199$	−1.44809	+	5.40436i	−0.102653	+	0.383105i	−0.998068	−	0.0621264i	$-0.980212\pi$
$199$	−1.44809	+	5.40436i	−0.102653	+	0.383105i	0.895416	+	0.445231i	$0.146878\pi$
$200$	−0.730516	+	2.76422i	−0.0516553	+	0.195460i
$201$	15.7240	−	5.72307i	1.10908	−	0.403674i
$202$	−2.33489	+	0.344738i	−0.164282	+	0.0242557i
$203$	−0.0147272	+	0.168333i	−0.00103365	+	0.0118147i
$204$	1.51819	+	2.44882i	0.106295	+	0.171451i
$205$	−14.8359	+	10.3882i	−1.03618	+	0.725544i
$206$	−3.07631	+	26.5831i	−0.214337	+	1.85213i
$207$	5.14643	−	11.0366i	0.357702	−	0.767094i
$208$	8.46665	−	13.8681i	0.587056	−	0.961578i
$209$	7.75893	+	5.43286i	0.536696	+	0.375799i
$210$	−0.216331	−	0.499939i	−0.0149282	−	0.0344990i
$211$	−4.73540	+	8.20195i	−0.325998	+	0.564645i	−0.981714	−	0.190362i	$-0.939034\pi$
$211$	−4.73540	+	8.20195i	−0.325998	+	0.564645i	0.655716	+	0.755008i	$0.272367\pi$
$212$	−10.2396	+	23.8882i	−0.703262	+	1.64065i
$213$	2.76164	−	15.6621i	0.189225	−	1.07315i
$214$	1.97290	+	0.405020i	0.134865	+	0.0276866i
$215$	20.3439	+	7.40456i	1.38744	+	0.504987i
$216$	18.0505	−	25.9679i	1.22818	−	1.76689i
$217$	−0.516699	+	0.240941i	−0.0350758	+	0.0163561i
$218$	3.41524	−	11.4553i	0.231309	−	0.775854i
$219$	−28.9424	+	24.2855i	−1.95574	+	1.64106i
$220$	8.48753	+	9.49356i	0.572229	+	0.640055i
$221$	−1.88798			−0.126999
$222$	26.6385	−	1.15579i	1.78786	−	0.0775715i
$223$			25.0606i			1.67818i	0.543989	+	0.839092i	$0.316913\pi$
$223$			25.0606i			1.67818i	−0.543989	+	0.839092i	$0.683087\pi$
$224$	−0.216722	+	0.277334i	−0.0144803	+	0.0185301i
$225$	−4.29320	−	5.11644i	−0.286213	−	0.341096i
$226$	−1.80386	+	6.05050i	−0.119991	+	0.402473i
$227$	−5.07215	−	10.8773i	−0.336650	−	0.721949i	0.662994	−	0.748625i	$-0.269286\pi$
$227$	−5.07215	−	10.8773i	−0.336650	−	0.721949i	−0.999644	+	0.0266761i	$0.991508\pi$
$228$	2.62778	−	18.2303i	0.174029	−	1.20733i
$229$	−7.30572	+	20.0723i	−0.482776	+	1.32642i	0.424328	+	0.905508i	$0.360510\pi$
$229$	−7.30572	+	20.0723i	−0.482776	+	1.32642i	−0.907104	+	0.420907i	$0.861712\pi$
$230$	1.04687	−	5.09944i	0.0690287	−	0.336247i
$231$	0.605469	+	0.106761i	0.0398370	+	0.00702433i
$232$	−5.86732	+	4.95766i	−0.385208	+	0.325486i
$233$	6.25374	+	3.61060i	0.409696	+	0.236538i	0.690659	−	0.723180i	$-0.257320\pi$
$233$	6.25374	+	3.61060i	0.409696	+	0.236538i	−0.280963	+	0.959719i	$0.590654\pi$
$234$	15.0738	+	34.8354i	0.985404	+	2.27726i
$235$	5.13711	−	7.33656i	0.335108	−	0.478584i
$236$	8.25323	+	20.6369i	0.537239	+	1.34335i
$237$	−16.9872	−	7.92125i	−1.10344	−	0.514541i
$238$	0.0406261	+	0.00470143i	0.00263340	+	0.000304749i
$239$	−8.35761	−	11.9359i	−0.540609	−	0.772069i	0.452183	−	0.891925i	$-0.350646\pi$
$239$	−8.35761	−	11.9359i	−0.540609	−	0.772069i	−0.992791	+	0.119856i	$0.961757\pi$
$240$	9.03727	−	23.0549i	0.583353	−	1.48819i
$241$	−26.4883	−	2.31743i	−1.70626	−	0.149279i	−0.808131	−	0.589003i	$-0.799521\pi$
$241$	−26.4883	−	2.31743i	−1.70626	−	0.149279i	−0.898133	+	0.439725i	$0.855076\pi$
$242$	1.17110	−	0.172909i	0.0752811	−	0.0111150i
$243$	4.25414	+	11.6881i	0.272903	+	0.749795i
$244$	−25.9268	+	5.41529i	−1.65979	+	0.346679i
$245$	13.4971	+	3.61655i	0.862301	+	0.231053i
$246$	−34.9655	+	18.9049i	−2.22932	+	1.20533i
$247$	9.24550	+	7.75789i	0.588277	+	0.493623i
$248$	−24.3839	−	8.78039i	−1.54838	−	0.557556i
$249$	0.567798	−	0.327818i	0.0359827	−	0.0207746i
$250$	−13.6302	−	10.1231i	−0.862048	−	0.640240i
$251$	−0.927471	−	3.46137i	−0.0585414	−	0.218480i	0.930458	−	0.366398i	$-0.119409\pi$
$251$	−0.927471	−	3.46137i	−0.0585414	−	0.218480i	−0.989000	+	0.147919i	$0.952743\pi$
$252$	−0.237615	−	0.787134i	−0.0149683	−	0.0495848i
$253$	4.15457	+	4.15457i	0.261195	+	0.261195i
$254$	4.00336	+	0.111905i	0.251193	+	0.00702153i
$255$	−2.83363	+	0.499645i	−0.177449	+	0.0312890i
$256$	−15.8742	+	2.00277i	−0.992135	+	0.125173i
$257$	−0.453224	−	5.18038i	−0.0282713	−	0.323143i	−0.997141	−	0.0755697i	$-0.975922\pi$
$257$	−0.453224	−	5.18038i	−0.0282713	−	0.323143i	0.968869	−	0.247573i	$-0.0796331\pi$
$258$	42.4847	+	21.2758i	2.64498	+	1.32457i
$259$	0.222001	−	0.306520i	0.0137945	−	0.0190462i
$260$	9.71939	+	12.9933i	0.602771	+	0.805808i
$261$	−1.56393	−	17.8758i	−0.0968049	−	1.10649i
$262$	8.26102	−	1.96788i	0.510368	−	0.121576i
$263$	−1.73370	−	9.83230i	−0.106905	−	0.606286i	−0.990443	−	0.137926i	$-0.955956\pi$
$263$	−1.73370	−	9.83230i	−0.106905	−	0.606286i	0.883538	−	0.468360i	$-0.155155\pi$
$264$	16.1089	+	22.8388i	0.991437	+	1.40563i
$265$	−18.3530	−	18.3530i	−1.12742	−	1.12742i
$266$	−0.179629	−	0.189960i	−0.0110137	−	0.0116472i
$267$	−28.8860	+	7.73999i	−1.76780	+	0.473679i
$268$	9.63750	−	4.86776i	0.588704	−	0.297346i
$269$	20.6272	−	11.9091i	1.25766	−	0.726112i	0.285044	−	0.958515i	$-0.407992\pi$
$269$	20.6272	−	11.9091i	1.25766	−	0.726112i	0.972620	+	0.232402i	$0.0746586\pi$
$270$	17.3849	+	26.3668i	1.05801	+	1.60463i
$271$	2.45691	−	2.92803i	0.149247	−	0.177865i	−0.686241	−	0.727374i	$-0.740741\pi$
$271$	2.45691	−	2.92803i	0.149247	−	0.177865i	0.835488	+	0.549509i	$0.185185\pi$
$272$	1.15976	+	1.45304i	0.0703205	+	0.0881036i
$273$	0.756699	+	0.202757i	0.0457975	+	0.0122714i
$274$	−3.64686	−	4.60139i	−0.220315	−	0.277980i
$275$	3.02818	−	1.10217i	0.182606	−	0.0664633i
$276$	3.56892	−	10.8534i	0.214824	−	0.653301i
$277$	21.9739	+	1.92246i	1.32028	+	0.115510i	0.725413	−	0.688313i	$-0.241649\pi$
$277$	21.9739	+	1.92246i	1.32028	+	0.115510i	0.594868	+	0.803823i	$0.297204\pi$
$278$	0.0429492	−	0.0698098i	0.00257592	−	0.00418691i
$279$	49.5933	−	34.7256i	2.96908	−	2.07897i
$280$	−0.176789	−	0.303796i	−0.0105652	−	0.0181553i
$281$	−0.298828	−	0.139346i	−0.0178266	−	0.00831268i	0.413685	−	0.910420i	$-0.364242\pi$
$281$	−0.298828	−	0.139346i	−0.0178266	−	0.00831268i	−0.431511	+	0.902108i	$0.642019\pi$
$282$	13.0507	−	14.6988i	0.777158	−	0.875299i
$283$	21.2880	+	14.9060i	1.26544	+	0.886072i	0.997014	−	0.0772270i	$-0.0246066\pi$
$283$	21.2880	+	14.9060i	1.26544	+	0.886072i	0.268429	+	0.963299i	$0.413496\pi$
$284$	0.573245	−	10.2458i	0.0340158	−	0.607978i
$285$	15.9294	+	9.19686i	0.943578	+	0.544775i
$286$	−18.2813	+	1.08574i	−1.08100	+	0.0642013i
$287$	−0.0979736	+	0.555636i	−0.00578320	+	0.0327982i
$288$	17.5506	−	33.0000i	1.03418	−	1.94454i
$289$	−5.74046	+	15.7718i	−0.337674	+	0.927752i
$290$	−2.42119	−	7.27885i	−0.142177	−	0.427429i
$291$	7.35914	−	3.43162i	0.431400	−	0.201165i
$292$	−16.6890	+	17.7706i	−0.976650	+	1.03994i
$293$	−6.50131	−	7.74797i	−0.379811	−	0.452641i	0.541944	−	0.840415i	$-0.317689\pi$
$293$	−6.50131	−	7.74797i	−0.379811	−	0.452641i	−0.921755	+	0.387774i	$0.873244\pi$
$294$	28.5134	+	11.2899i	1.66294	+	0.658442i
$295$	−22.1959			−1.29230
$296$	16.9794	−	2.77503i	0.986906	−	0.161295i
$297$	−35.6450			−2.06833
$298$	23.1566	+	9.16890i	1.34143	+	0.531140i
$299$	4.81224	+	5.73500i	0.278299	+	0.331664i
$300$	−4.56784	−	4.28983i	−0.263724	−	0.247674i
$301$	0.611242	−	0.285027i	0.0352314	−	0.0164287i
$302$	6.25619	+	18.8081i	0.360003	+	1.08228i
$303$	1.76924	−	4.86095i	0.101640	−	0.279254i
$304$	0.291326	−	11.8811i	0.0167087	−	0.681429i
$305$	4.59305	−	26.0485i	0.262997	−	1.49153i
$306$	−4.33538	+	0.257481i	−0.247837	+	0.0147192i
$307$	16.3751	+	9.45419i	0.934578	+	0.539579i	0.888257	−	0.459348i	$-0.151917\pi$
$307$	16.3751	+	9.45419i	0.934578	+	0.539579i	0.0463217	+	0.998927i	$0.485250\pi$
$308$	0.396087	+	0.0221607i	0.0225691	+	0.00126272i
$309$	−48.0447	−	33.6413i	−2.73317	−	1.91379i
$310$	17.1837	−	19.3537i	0.975970	−	1.09922i
$311$	24.1118	+	11.2435i	1.36725	+	0.637561i	0.961089	−	0.276239i	$-0.0890883\pi$
$311$	24.1118	+	11.2435i	1.36725	+	0.637561i	0.406164	+	0.913800i	$0.366866\pi$
$312$	17.9116	+	30.7795i	1.01405	+	1.74255i
$313$	12.3248	−	8.62990i	0.696638	−	0.487791i	−0.170820	−	0.985302i	$-0.554642\pi$
$313$	12.3248	−	8.62990i	0.696638	−	0.487791i	0.867457	+	0.497511i	$0.165753\pi$
$314$	6.31877	−	10.2706i	0.356589	−	0.579601i
$315$	0.817976	+	0.0715636i	0.0460877	+	0.00403215i
$316$	−11.4889	−	3.77788i	−0.646302	−	0.212522i
$317$	−9.14834	+	3.32973i	−0.513822	+	0.187016i	−0.585901	−	0.810383i	$-0.699259\pi$
$317$	−9.14834	+	3.32973i	−0.513822	+	0.187016i	0.0720783	+	0.997399i	$0.477037\pi$
$318$	−35.3820	−	44.6428i	−1.98412	−	2.50345i
$319$	8.36273	+	2.24079i	0.468223	+	0.125460i
$320$	4.02951	−	15.4618i	0.225256	−	0.864343i
$321$	−2.83742	+	3.38150i	−0.158369	+	0.188737i
$322$	−0.0892698	−	0.135391i	−0.00497481	−	0.00754503i
$323$	−1.19594	+	0.690475i	−0.0665437	+	0.0384190i
$324$	13.3764	+	26.4834i	0.743133	+	1.47130i
$325$	3.96624	−	1.06275i	0.220007	−	0.0589508i
$326$	2.03863	+	2.15588i	0.112909	+	0.119403i
$327$	18.5255	+	18.5255i	1.02446	+	1.02446i
$328$	−20.9591	+	14.7831i	−1.15727	+	0.816260i
$329$	−0.0484493	−	0.274770i	−0.00267110	−	0.0151485i
$330$	−27.1507	+	6.46763i	−1.49460	+	0.356031i
$331$	1.65470	+	18.9133i	0.0909505	+	1.03957i	0.895315	+	0.445433i	$0.146950\pi$
$331$	1.65470	+	18.9133i	0.0909505	+	1.03957i	−0.804365	+	0.594136i	$0.797494\pi$
$332$	0.338759	−	0.253403i	0.0185918	−	0.0139073i
$333$	−17.5646	+	36.1496i	−0.962532	+	1.98099i
$334$	5.43829	+	2.72343i	0.297570	+	0.149020i
$335$	0.939748	+	10.7414i	0.0513439	+	0.586864i
$336$	−0.308780	−	0.706926i	−0.0168454	−	0.0385660i
$337$	17.2527	−	3.04212i	0.939816	−	0.165715i	0.317303	−	0.948324i	$-0.397223\pi$
$337$	17.2527	−	3.04212i	0.939816	−	0.165715i	0.622513	+	0.782609i	$0.286112\pi$
$338$	−4.94850	−	0.138324i	−0.269163	−	0.00752383i
$339$	−9.78483	−	9.78483i	−0.531439	−	0.531439i
$340$	−1.77739	+	0.536547i	−0.0963924	+	0.0290983i
$341$	7.56028	+	28.2154i	0.409412	+	1.52795i
$342$	22.2884	+	16.5536i	1.20522	+	0.895114i
$343$	0.754168	−	0.435419i	0.0407213	−	0.0235104i
$344$	28.8455	+	10.3870i	1.55524	+	0.560028i
$345$	8.74031	+	7.33399i	0.470562	+	0.394849i
$346$	12.3355	−	6.66948i	0.663163	−	0.358554i
$347$	−13.3338	−	3.57277i	−0.715794	−	0.191797i	−0.117500	−	0.993073i	$-0.537488\pi$
$347$	−13.3338	−	3.57277i	−0.715794	−	0.191797i	−0.598294	+	0.801276i	$0.704155\pi$
$348$	−3.44213	−	16.4799i	−0.184518	−	0.883414i
$349$	3.87718	+	10.6525i	0.207541	+	0.570213i	0.999168	−	0.0407912i	$-0.0129879\pi$
$349$	3.87718	+	10.6525i	0.207541	+	0.570213i	−0.791627	+	0.611005i	$0.790766\pi$
$350$	−0.0879931	+	0.0129919i	−0.00470343	+	0.000694445i
$351$	−45.2461	−	3.95852i	−2.41506	−	0.211290i
$352$	12.0655	+	13.4029i	0.643095	+	0.714375i
$353$	6.58949	+	9.41077i	0.350723	+	0.500885i	0.955290	−	0.295669i	$-0.0955427\pi$
$353$	6.58949	+	9.41077i	0.350723	+	0.500885i	−0.604567	+	0.796554i	$0.706654\pi$
$354$	−48.3906	−	5.59997i	−2.57193	−	0.297635i
$355$	9.28778	+	4.33096i	0.492944	+	0.229864i
$356$	−17.9166	+	7.16528i	−0.949576	+	0.379759i
$357$	−0.0514129	+	0.0734253i	−0.00272106	+	0.00388608i
$358$	−14.3251	−	33.1052i	−0.757106	−	1.74967i
$359$	−22.9987	−	13.2783i	−1.21382	−	0.700802i	−0.250234	−	0.968185i	$-0.580508\pi$
$359$	−22.9987	−	13.2783i	−1.21382	−	0.700802i	−0.963590	+	0.267384i	$0.913841\pi$
$360$	24.0906	+	28.5109i	1.26969	+	1.50266i
$361$	−10.0176	−	1.76637i	−0.527242	−	0.0929670i
$362$	−1.35524	+	6.60152i	−0.0712296	+	0.346968i
$363$	−0.887391	+	2.43809i	−0.0465759	+	0.127966i
$364$	0.500314	+	0.0721169i	0.0262236	+	0.00377995i
$365$	−10.2889	−	22.0645i	−0.538543	−	1.15491i
$366$	16.5855	−	55.6309i	0.866939	−	2.90788i
$367$	−11.6467	−	13.8800i	−0.607952	−	0.724530i	0.370997	−	0.928634i	$-0.379016\pi$
$367$	−11.6467	−	13.8800i	−0.607952	−	0.724530i	−0.978949	+	0.204105i	$0.934572\pi$
$368$	1.45773	−	7.22654i	0.0759895	−	0.376709i
$369$		−	59.9150i		−	3.11905i
$370$	−3.72328	+	16.7730i	−0.193564	+	0.871988i
$371$	−0.808559			−0.0419783
$372$	42.3461	−	37.8587i	2.19554	−	1.96288i
$373$	−20.9778	+	17.6025i	−1.08619	+	0.911422i	−0.996420	−	0.0845408i	$-0.973058\pi$
$373$	−20.9778	+	17.6025i	−1.08619	+	0.911422i	−0.0897701	+	0.995963i	$0.528613\pi$
$374$	0.598682	−	2.00809i	0.0309571	−	0.103836i
$375$	33.7251	−	15.7263i	1.74156	−	0.812101i
$376$	7.23917	−	10.4145i	0.373332	−	0.537084i
$377$	10.3664	+	3.77307i	0.533898	+	0.194323i
$378$	0.963761	+	0.197852i	0.0495705	+	0.0101764i
$379$	3.40859	−	19.3311i	0.175088	−	0.992971i	−0.762955	−	0.646451i	$-0.776252\pi$
$379$	3.40859	−	19.3311i	0.175088	−	0.992971i	0.938043	−	0.346520i	$-0.112637\pi$
$380$	10.9086	+	4.67596i	0.559601	+	0.239872i
$381$	−4.38885	+	7.60171i	−0.224848	+	0.389448i
$382$	−7.15361	−	16.5319i	−0.366011	−	0.845848i
$383$	−4.44919	−	3.11535i	−0.227343	−	0.159187i	0.454356	−	0.890820i	$-0.349870\pi$
$383$	−4.44919	−	3.11535i	−0.227343	−	0.159187i	−0.681698	+	0.731633i	$0.738758\pi$
$384$	12.6859	−	32.6926i	0.647376	−	1.66834i
$385$	−0.167428	+	0.359050i	−0.00853291	+	0.0182989i
$386$	−3.10274	+	26.8114i	−0.157925	+	1.36467i
$387$	−58.6677	+	41.0795i	−2.98224	+	2.08819i
$388$	4.45302	−	2.76074i	0.226068	−	0.140155i
$389$	−0.352224	+	4.02593i	−0.0178584	+	0.204123i	0.982024	+	0.188759i	$0.0604464\pi$
$389$	−0.352224	+	4.02593i	−0.0178584	+	0.204123i	−0.999882	+	0.0153643i	$0.995109\pi$
$390$	−35.1821	+	5.19452i	−1.78152	+	0.263035i
$391$	−0.804946	+	0.292976i	−0.0407079	+	0.0148165i
$392$	19.1312	+	5.05593i	0.966273	+	0.255363i
$393$	−4.81728	+	17.9783i	−0.243000	+	0.906887i
$394$	8.54305	+	15.8008i	0.430393	+	0.796033i
$395$	7.76340	−	9.25206i	0.390619	−	0.465522i
$396$	−41.8314	+	4.98638i	−2.10211	+	0.250575i
$397$	−10.8966	−	18.8734i	−0.546884	−	0.947230i	−0.998486	−	0.0550109i	$-0.982481\pi$
$397$	−10.8966	−	18.8734i	−0.546884	−	0.947230i	0.451602	−	0.892219i	$-0.350853\pi$
$398$	−6.35222	−	4.71777i	−0.318408	−	0.236481i
$399$	0.553481	−	0.148305i	0.0277087	−	0.00742453i
$400$	−3.25432	−	2.39969i	−0.162716	−	0.119985i
$401$	2.90073	−	2.90073i	0.144856	−	0.144856i	−0.630960	−	0.775815i	$-0.717339\pi$
$401$	2.90073	−	2.90073i	0.144856	−	0.144856i	0.775815	+	0.630960i	$0.217339\pi$
$402$	−0.661220	+	23.6550i	−0.0329787	+	1.17980i
$403$	6.46325	+	36.6549i	0.321957	+	1.82591i
$404$	0.762326	−	3.24961i	0.0379271	−	0.161674i
$405$	−29.5168	+	2.58239i	−1.46670	+	0.128320i
$406$	−0.213672	−	0.107004i	−0.0106044	−	0.00531054i
$407$	−13.4912	−	13.9289i	−0.668736	−	0.690431i
$408$	−4.01035	+	0.721326i	−0.198542	+	0.0357110i
$409$	−7.21086	+	0.630869i	−0.356554	+	0.0311944i	−0.264026	−	0.964516i	$-0.585050\pi$
$409$	−7.21086	+	0.630869i	−0.356554	+	0.0311944i	−0.0925283	+	0.995710i	$0.529495\pi$
$410$	−5.93531	−	24.9161i	−0.293124	−	1.23052i
$411$	12.6728	−	2.23456i	0.625104	−	0.110223i
$412$	−33.3523	−	17.8851i	−1.64315	−	0.881134i
$413$	−0.488931	+	0.488931i	−0.0240587	+	0.0240587i
$414$	11.8325	+	12.5130i	0.581534	+	0.614980i
$415$	0.109345	+	0.408080i	0.00536752	+	0.0200319i
$416$	13.8270	+	18.3529i	0.677925	+	0.899825i
$417$	0.0898210	+	0.155575i	0.00439855	+	0.00761852i
$418$	−11.1832	+	7.37363i	−0.546987	+	0.360656i
$419$	3.98814	+	3.34644i	0.194833	+	0.163485i	0.734986	−	0.678083i	$-0.237189\pi$
$419$	3.98814	+	3.34644i	0.194833	+	0.163485i	−0.540152	+	0.841567i	$0.681633\pi$
$420$	0.769994	−	0.0241670i	0.0375719	−	0.00117923i
$421$	−5.27873	+	19.7005i	−0.257270	+	0.960144i	0.709544	+	0.704661i	$0.248901\pi$
$421$	−5.27873	+	19.7005i	−0.257270	+	0.960144i	−0.966814	+	0.255483i	$0.917766\pi$
$422$	−8.31927	−	10.4967i	−0.404976	−	0.510973i
$423$	10.1337	+	27.8420i	0.492715	+	1.35372i
$424$	−26.0793	−	25.9010i	−1.26652	−	1.25787i
$425$	−0.0409480	+	0.468038i	−0.00198627	+	0.0227032i
$426$	19.1561	+	11.7855i	0.928117	+	0.571007i
$427$	−0.472619	−	0.674971i	−0.0228717	−	0.0326641i
$428$	−1.55972	+	2.38328i	−0.0753917	+	0.115200i
$429$	16.9632	−	36.3777i	0.818991	−	1.75633i
$430$	−20.3279	+	22.8949i	−0.980298	+	1.10409i
$431$	17.1618	−	24.5096i	0.826656	−	1.18059i	−0.154618	−	0.987974i	$-0.549415\pi$
$431$	17.1618	−	24.5096i	0.826656	−	1.18059i	0.981275	−	0.192613i	$-0.0616963\pi$
$432$	24.7473	+	37.2542i	1.19066	+	1.79240i
$433$	5.84377	−	10.1217i	0.280834	−	0.486418i	−0.690757	−	0.723087i	$-0.742722\pi$
$433$	5.84377	−	10.1217i	0.280834	−	0.486418i	0.971590	+	0.236669i	$0.0760558\pi$
$434$	−0.0478003	−	0.804845i	−0.00229449	−	0.0386338i
$435$	16.5573	+	2.91949i	0.793859	+	0.139979i
$436$	13.2844	+	10.4547i	0.636210	+	0.500689i
$437$	5.14570	+	1.87288i	0.246152	+	0.0895922i
$438$	−16.8645	−	50.6999i	−0.805817	−	2.42254i
$439$	0.270385	+	0.579843i	0.0129048	+	0.0276744i	0.912655	−	0.408732i	$-0.134029\pi$
$439$	0.270385	+	0.579843i	0.0129048	+	0.0276744i	−0.899750	+	0.436406i	$0.856251\pi$
$440$	−16.9019	+	6.21753i	−0.805766	+	0.296409i
$441$	−35.4110	+	29.7134i	−1.68624	+	1.41492i
$442$	0.982947	−	2.48249i	0.0467540	−	0.118080i
$443$		−	12.8589i		−	0.610946i	−0.952201	−	0.305473i	$-0.901185\pi$
$443$		−	12.8589i		−	0.610946i	0.952201	−	0.305473i	$-0.0988146\pi$
$444$	−12.3491	+	35.6284i	−0.586064	+	1.69085i
$445$		−	19.2700i		−	0.913487i
$446$	−32.9520	−	13.0474i	−1.56032	−	0.617813i
$447$	−41.8158	+	35.0877i	−1.97782	+	1.65959i
$448$	−0.251831	−	0.429355i	−0.0118979	−	0.0202851i
$449$	15.2901	+	32.7897i	0.721583	+	1.54744i	0.832757	+	0.553639i	$0.186761\pi$
$449$	15.2901	+	32.7897i	0.721583	+	1.54744i	−0.111174	+	0.993801i	$0.535461\pi$
$450$	8.96274	−	2.98131i	0.422508	−	0.140540i
$451$	27.1647	+	9.88713i	1.27913	+	0.465567i
$452$	−7.01660	−	5.52197i	−0.330033	−	0.259732i
$453$	−42.7829	−	7.54378i	−2.01012	−	0.354438i
$454$	16.9431	−	1.00627i	0.795181	−	0.0472264i
$455$	−0.252399	+	0.437168i	−0.0118327	+	0.0204948i
$456$	22.6028	+	12.9465i	1.05847	+	0.606278i
$457$	7.92471	−	11.3177i	0.370702	−	0.529417i	−0.589852	−	0.807512i	$-0.700814\pi$
$457$	7.92471	−	11.3177i	0.370702	−	0.529417i	0.960554	+	0.278094i	$0.0897027\pi$
$458$	−22.5893	−	20.0565i	−1.05553	−	0.937181i
$459$	2.19627	−	4.70993i	0.102513	−	0.219841i
$460$	6.16017	+	4.03146i	0.287220	+	0.187968i
$461$	15.9297	+	22.7500i	0.741921	+	1.05957i	0.995730	+	0.0923183i	$0.0294277\pi$
$461$	15.9297	+	22.7500i	0.741921	+	1.05957i	−0.253809	+	0.967254i	$0.581683\pi$
$462$	−0.455606	+	0.740544i	−0.0211967	+	0.0344532i
$463$	0.300325	−	3.43274i	0.0139573	−	0.159533i	−0.986017	−	0.166642i	$-0.946707\pi$
$463$	0.300325	−	3.43274i	0.0139573	−	0.159533i	0.999975	+	0.00710953i	$0.00226305\pi$
$464$	−3.46407	−	10.2960i	−0.160815	−	0.477980i
$465$	19.4011	+	53.3040i	0.899703	+	2.47191i
$466$	−8.00346	+	6.34320i	−0.370753	+	0.293843i
$467$	−3.73165	+	13.9267i	−0.172680	+	0.644450i	0.824255	+	0.566218i	$0.191594\pi$
$467$	−3.73165	+	13.9267i	−0.172680	+	0.644450i	−0.996935	+	0.0782319i	$0.975073\pi$
$468$	−53.6527	+	1.68394i	−2.48009	+	0.0778401i
$469$	0.257311	+	0.215910i	0.0118815	+	0.00996979i
$470$	6.97223	+	10.5744i	0.321605	+	0.487761i
$471$	13.2146	+	22.8884i	0.608899	+	1.05464i
$472$	−31.4323	+	0.107820i	−1.44679	+	0.00496281i
$473$	−8.94362	−	33.3780i	−0.411228	−	1.53472i
$474$	19.2597	−	18.2122i	0.884627	−	0.836516i
$475$	2.12373	−	2.12373i	0.0974435	−	0.0974435i
$476$	−0.0273332	+	0.0509713i	−0.00125282	+	0.00233626i
$477$	84.5590	−	14.9100i	3.87169	−	0.682684i
$478$	20.0457	−	4.77512i	0.916867	−	0.218409i
$479$	−7.11285	+	0.622293i	−0.324994	+	0.0284333i	−0.248486	−	0.968636i	$-0.579933\pi$
$479$	−7.11285	+	0.622293i	−0.324994	+	0.0284333i	−0.0765087	+	0.997069i	$0.524377\pi$
$480$	25.6096	+	23.8862i	1.16891	+	1.09025i
$481$	−15.5783	−	19.1790i	−0.710310	−	0.874487i
$482$	16.8379	−	33.6228i	0.766944	−	1.53147i
$483$	0.354084	−	0.0309784i	0.0161114	−	0.00140956i
$484$	−0.382357	+	1.62989i	−0.0173799	+	0.0740860i
$485$	0.908573	+	5.15278i	0.0412562	+	0.233975i
$486$	−17.5835	−	0.491506i	−0.797604	−	0.0222952i
$487$	−10.1094	+	10.1094i	−0.458102	+	0.458102i	−0.898032	−	0.439930i	$-0.855003\pi$
$487$	−10.1094	+	10.1094i	−0.458102	+	0.458102i	0.439930	+	0.898032i	$0.355003\pi$
$488$	6.37781	−	36.9103i	0.288710	−	1.67085i
$489$	−6.28155	+	1.68314i	−0.284061	+	0.0761140i
$490$	−11.7824	+	15.8644i	−0.532276	+	0.716680i
$491$	14.3401	+	24.8378i	0.647160	+	1.12091i	0.983798	+	0.179279i	$0.0573766\pi$
$491$	14.3401	+	24.8378i	0.647160	+	1.12091i	−0.336639	+	0.941634i	$0.609290\pi$
$492$	−6.65366	−	55.8184i	−0.299970	−	2.51649i
$493$	−0.811358	+	0.966938i	−0.0365417	+	0.0435487i
$494$	−15.0143	+	8.11781i	−0.675525	+	0.365238i
$495$	10.8886	−	40.6369i	0.489407	−	1.82649i
$496$	24.2403	−	27.4908i	1.08842	−	1.23437i
$497$	0.299993	−	0.109189i	0.0134565	−	0.00489778i
$498$	0.135431	+	0.917266i	0.00606882	+	0.0411037i
$499$	2.99526	−	34.2360i	0.134086	−	1.53261i	−0.569492	−	0.821997i	$-0.692860\pi$
$499$	2.99526	−	34.2360i	0.134086	−	1.53261i	0.703579	−	0.710617i	$-0.251584\pi$
$500$	20.4071	−	12.6518i	0.912633	−	0.565805i
$501$	−10.9196	+	7.64597i	−0.487851	+	0.341597i
$502$	5.03420	+	0.582579i	0.224687	+	0.0260018i
$503$	2.91918	−	6.26021i	0.130160	−	0.279129i	−0.830417	−	0.557142i	$-0.811898\pi$
$503$	2.91918	−	6.26021i	0.130160	−	0.279129i	0.960577	+	0.278013i	$0.0896758\pi$
$504$	1.15871	+	0.0973698i	0.0516129	+	0.00433720i
$505$	2.73048	+	1.91190i	0.121505	+	0.0850784i
$506$	−7.62581	+	3.29980i	−0.339009	+	0.146694i
$507$	5.42500	−	9.39638i	0.240933	−	0.417308i
$508$	−2.23143	+	5.20573i	−0.0990035	+	0.230967i
$509$	6.37449	−	36.1515i	0.282544	−	1.60239i	−0.431384	−	0.902168i	$-0.641975\pi$
$509$	6.37449	−	36.1515i	0.282544	−	1.60239i	0.713928	−	0.700219i	$-0.246914\pi$
$510$	0.818302	−	3.98605i	0.0362350	−	0.176505i
$511$	−0.712679	−	0.259394i	−0.0315271	−	0.0114749i
$512$	5.63118	−	21.9155i	0.248866	−	0.968538i
$513$	−30.1087	+	14.0399i	−1.32933	+	0.619878i
$514$	7.04760	+	2.10113i	0.310856	+	0.0926771i
$515$	28.9517	−	24.2933i	1.27576	−	1.07049i
$516$	−50.0943	+	44.7859i	−2.20528	+	1.97159i
$517$	−14.2954			−0.628712
$518$	0.287459	+	0.451492i	0.0126302	+	0.0198374i
$519$			30.7348i			1.34911i
$520$	−22.1450	+	6.01522i	−0.971122	+	0.263785i
$521$	6.96102	+	8.29582i	0.304968	+	0.363447i	0.896662	−	0.442716i	$-0.145985\pi$
$521$	6.96102	+	8.29582i	0.304968	+	0.363447i	−0.591694	+	0.806163i	$0.701541\pi$
$522$	24.3190	+	7.25034i	1.06441	+	0.317339i
$523$	−10.0338	−	21.5175i	−0.438746	−	0.940894i	−0.994017	−	0.109225i	$-0.965163\pi$
$523$	−10.0338	−	21.5175i	−0.438746	−	0.940894i	0.555271	−	0.831670i	$-0.312615\pi$
$524$	−1.71342	+	11.8869i	−0.0748510	+	0.519282i
$525$	0.0666760	−	0.183191i	0.00290998	−	0.00799511i
$526$	13.8310	+	2.83939i	0.603062	+	0.123803i
$527$	−4.19405	−	0.739524i	−0.182696	−	0.0322142i
$528$	−38.4174	+	9.29088i	−1.67190	+	0.404334i
$529$	−16.9769	−	9.80163i	−0.738127	−	0.426158i
$530$	33.6874	−	14.5770i	1.46329	−	0.633186i
$531$	42.1164	−	60.1484i	1.82770	−	2.61022i
$532$	0.343297	−	0.137293i	0.0148838	−	0.00595240i
$533$	33.3836	+	15.5670i	1.44600	+	0.674283i
$534$	4.86178	−	42.0117i	0.210390	−	1.81802i
$535$	−1.63149	−	2.33002i	−0.0705357	−	0.100735i
$536$	1.38298	+	15.2066i	0.0597357	+	0.656825i
$537$	78.7584	+	6.89047i	3.39868	+	0.297346i
$538$	4.92000	+	33.3228i	0.212116	+	1.43665i
$539$	−7.62815	−	20.9582i	−0.328567	−	0.902732i
$540$	−43.7206	+	9.13187i	−1.88144	+	0.392973i
$541$	−18.6656	−	5.00143i	−0.802496	−	0.215028i	−0.165817	−	0.986157i	$-0.553026\pi$
$541$	−18.6656	−	5.00143i	−0.802496	−	0.215028i	−0.636680	+	0.771128i	$0.719693\pi$
$542$	2.57090	+	4.75501i	0.110430	+	0.204245i
$543$	−11.3148	−	9.49428i	−0.485566	−	0.407438i
$544$	−2.51440	+	0.768452i	−0.107804	+	0.0329471i
$545$	−14.6202	+	8.44100i	−0.626263	+	0.361573i
$546$	−0.660566	+	0.889416i	−0.0282696	+	0.0380635i
$547$	−5.23254	−	19.5281i	−0.223727	−	0.834961i	−0.982910	−	0.184084i	$-0.941068\pi$
$547$	−5.23254	−	19.5281i	−0.223727	−	0.834961i	0.759183	−	0.650877i	$-0.225599\pi$
$548$	7.94900	−	2.39960i	0.339565	−	0.102506i
$549$	61.8732	+	61.8732i	2.64068	+	2.64068i
$550$	−0.127340	+	4.55556i	−0.00542980	+	0.194250i
$551$	7.94647	−	1.40118i	0.338531	−	0.0596922i
$552$	12.4130	+	10.3434i	0.528333	+	0.440245i
$553$	−0.0327921	−	0.374816i	−0.00139446	−	0.0159388i
$554$	−13.9682	+	27.8924i	−0.593450	+	1.18503i
$555$	−28.4567	−	24.6626i	−1.20792	−	1.04687i
$556$	0.0694316	+	0.0928189i	0.00294455	+	0.00393640i
$557$	−1.40618	−	16.0727i	−0.0595816	−	0.681021i	−0.965983	−	0.258604i	$-0.916737\pi$
$557$	−1.40618	−	16.0727i	−0.0595816	−	0.681021i	0.906402	−	0.422417i	$-0.138818\pi$
$558$	19.8405	+	83.2892i	0.839916	+	3.52591i
$559$	−7.64586	−	43.3618i	−0.323385	−	1.83401i
$560$	0.491501	−	0.0742920i	0.0207697	−	0.00313941i
$561$	3.24747	+	3.24747i	0.137108	+	0.137108i
$562$	0.338805	−	0.320379i	0.0142916	−	0.0135144i
$563$	3.15271	−	0.844765i	0.132871	−	0.0356026i	−0.191771	−	0.981440i	$-0.561423\pi$
$563$	3.15271	−	0.844765i	0.132871	−	0.0356026i	0.324641	+	0.945837i	$0.394756\pi$
$564$	12.5327	+	24.8129i	0.527720	+	1.04481i
$565$	7.72214	−	4.45838i	0.324873	−	0.187565i
$566$	−30.6831	+	20.2309i	−1.28971	+	0.850368i
$567$	−0.593311	+	0.707080i	−0.0249167	+	0.0296946i
$568$	13.1737	+	6.08807i	0.552757	+	0.255450i
$569$	−28.5266	−	7.64368i	−1.19590	−	0.320440i	−0.394683	−	0.918817i	$-0.629146\pi$
$569$	−28.5266	−	7.64368i	−1.19590	−	0.320440i	−0.801214	+	0.598377i	$0.795812\pi$
$570$	−20.3863	+	16.1573i	−0.853887	+	0.676754i
$571$	28.2252	−	10.2731i	1.18119	−	0.429916i	0.324565	−	0.945863i	$-0.394782\pi$
$571$	28.2252	−	10.2731i	1.18119	−	0.429916i	0.856621	+	0.515947i	$0.172560\pi$
$572$	8.09024	−	24.6033i	0.338270	−	1.02871i
$573$	39.3300	+	3.44093i	1.64304	+	0.143747i
$574$	−0.679593	−	0.418107i	−0.0283657	−	0.0174515i
$575$	1.52610	−	1.06859i	0.0636427	−	0.0445631i
$576$	34.2539	+	40.2581i	1.42725	+	1.67742i
$577$	−11.5585	−	5.38982i	−0.481187	−	0.224381i	0.166861	−	0.985980i	$-0.446637\pi$
$577$	−11.5585	−	5.38982i	−0.481187	−	0.224381i	−0.648048	+	0.761599i	$0.724415\pi$
$578$	−17.7495	−	15.7594i	−0.738282	−	0.655504i
$579$	−48.4574	−	33.9302i	−2.01382	−	1.41009i
$580$	10.8314	+	0.606010i	0.449751	+	0.0251632i
$581$	0.0113978	+	0.00658053i	0.000472861	+	0.000273007i
$582$	0.680801	+	11.4631i	0.0282201	+	0.475160i
$583$	−7.19385	+	40.7984i	−0.297939	+	1.68970i
$584$	−14.6775	−	31.1962i	−0.607359	−	1.29091i
$585$	18.3344	−	50.3734i	0.758034	−	2.08268i
$586$	13.5725	−	4.51468i	0.560676	−	0.186500i
$587$	−37.7869	+	17.6203i	−1.55963	+	0.727269i	−0.995168	−	0.0981876i	$-0.968695\pi$
$587$	−37.7869	+	17.6203i	−1.55963	+	0.727269i	−0.564466	+	0.825457i	$0.690918\pi$
$588$	−29.6901	+	31.6142i	−1.22440	+	1.30375i
$589$	17.4996	+	20.8552i	0.721058	+	0.859323i
$590$	11.5559	−	29.1853i	0.475750	−	1.20154i
$591$	−39.3688			−1.61941
$592$	−5.19117	+	23.7708i	−0.213356	+	0.976975i
$593$	−15.1121			−0.620581			−0.310291	−	0.950642i	$-0.600426\pi$
$593$	−15.1121			−0.620581			−0.310291	+	0.950642i	$0.600426\pi$
$594$	18.5579	−	46.8693i	0.761442	−	1.92307i
$595$	−0.0371268	−	0.0442459i	−0.00152205	−	0.00181391i
$596$	−24.1122	+	25.6748i	−0.987675	+	1.05168i
$597$	15.7173	−	7.32909i	0.643266	−	0.299960i
$598$	−10.0463	+	3.34174i	−0.410824	+	0.136654i
$599$	3.41233	−	9.37531i	0.139424	−	0.383065i	−0.850254	−	0.526373i	$-0.823552\pi$
$599$	3.41233	−	9.37531i	0.139424	−	0.383065i	0.989678	+	0.143308i	$0.0457739\pi$
$600$	8.01884	−	3.77279i	0.327368	−	0.154023i
$601$	−6.30534	+	35.7594i	−0.257200	+	1.45866i	0.533161	+	0.846014i	$0.321004\pi$
$601$	−6.30534	+	35.7594i	−0.257200	+	1.45866i	−0.790361	+	0.612641i	$0.790107\pi$
$602$	0.0565466	+	0.952111i	0.00230467	+	0.0388052i
$603$	−30.8911	−	17.8350i	−1.25798	−	0.726296i
$604$	−27.9878	−	1.56589i	−1.13881	−	0.0637152i
$605$	−1.36951	−	0.958944i	−0.0556786	−	0.0389866i
$606$	5.47050	+	4.85713i	0.222224	+	0.197307i
$607$	26.0705	+	12.1569i	1.05817	+	0.493433i	0.872214	−	0.489125i	$-0.162684\pi$
$607$	26.0705	+	12.1569i	1.05817	+	0.493433i	0.185957	+	0.982558i	$0.440462\pi$
$608$	15.4707	+	6.56877i	0.627420	+	0.266399i
$609$	0.429033	−	0.300412i	0.0173853	−	0.0121733i
$610$	31.8596	+	19.6011i	1.28996	+	0.793624i
$611$	−18.1460	−	1.58757i	−0.734108	−	0.0642261i
$612$	1.91858	−	5.83460i	0.0775540	−	0.235850i
$613$	−16.1406	+	5.87471i	−0.651915	+	0.237277i	−0.646742	−	0.762709i	$-0.723869\pi$
$613$	−16.1406	+	5.87471i	−0.651915	+	0.237277i	−0.00517288	+	0.999987i	$0.501647\pi$
$614$	−20.9567	+	16.6094i	−0.845743	+	0.670300i
$615$	54.2244	+	14.5294i	2.18654	+	0.585881i
$616$	−0.235355	+	0.509274i	−0.00948272	+	0.0205192i
$617$	4.03811	−	4.81243i	0.162568	−	0.193741i	−0.678611	−	0.734498i	$-0.737418\pi$
$617$	4.03811	−	4.81243i	0.162568	−	0.193741i	0.841179	+	0.540757i	$0.181862\pi$
$618$	69.2483	−	45.6589i	2.78558	−	1.83667i
$619$	14.0593	−	8.11713i	0.565090	−	0.326255i	−0.190096	−	0.981766i	$-0.560880\pi$
$619$	14.0593	−	8.11713i	0.565090	−	0.326255i	0.755186	+	0.655510i	$0.227546\pi$
$620$	16.5016	+	32.6709i	0.662721	+	1.31210i
$621$	−19.9051	+	5.33355i	−0.798763	+	0.214028i
$622$	−27.3374	+	25.8506i	−1.09613	+	1.03652i
$623$	−0.424480	−	0.424480i	−0.0170064	−	0.0170064i
$624$	−49.7972	+	7.52701i	−1.99348	+	0.301321i
$625$	3.28611	+	18.6364i	0.131444	+	0.745457i
$626$	4.93070	+	20.6988i	0.197070	+	0.827289i
$627$	−2.55879	−	29.2471i	−0.102188	−	1.16802i
$628$	10.2149	+	13.6557i	0.407619	+	0.544922i
$629$	2.67176	−	0.924424i	0.106530	−	0.0368592i
$630$	−0.519964	+	1.03829i	−0.0207159	+	0.0413665i
$631$	0.394961	+	4.51442i	0.0157231	+	0.179716i	0.999995	+	0.00305775i	$0.000973313\pi$
$631$	0.394961	+	4.51442i	0.0157231	+	0.179716i	−0.984272	+	0.176659i	$0.943471\pi$
$632$	10.9490	−	13.1398i	0.435528	−	0.522673i
$633$	28.9094	−	5.09751i	1.14905	−	0.202608i
$634$	0.384703	−	13.7627i	0.0152785	−	0.546585i
$635$	−3.99949	−	3.99949i	−0.158715	−	0.158715i
$636$	77.1215	−	23.2810i	3.05807	−	0.923151i
$637$	−7.35533	−	27.4505i	−0.291429	−	1.08763i
$638$	−7.30031	+	9.82946i	−0.289022	+	0.389152i
$639$	−29.3598	+	16.9509i	−1.16146	+	0.670567i
$640$	18.2328	+	13.3483i	0.720713	+	0.527638i
$641$	−2.59120	−	2.17427i	−0.102346	−	0.0858786i	0.590179	−	0.807273i	$-0.299057\pi$
$641$	−2.59120	−	2.17427i	−0.102346	−	0.0858786i	−0.692525	+	0.721394i	$0.743502\pi$
$642$	−2.96906	−	5.49142i	−0.117179	−	0.216729i
$643$	5.63610	+	1.51019i	0.222266	+	0.0595560i	0.368233	−	0.929733i	$-0.379963\pi$
$643$	5.63610	+	1.51019i	0.222266	+	0.0595560i	−0.145967	+	0.989289i	$0.546629\pi$
$644$	0.224501	−	0.0468913i	0.00884658	−	0.00184777i
$645$	−22.9510	−	63.0573i	−0.903693	−	2.48288i
$646$	−0.285255	−	1.93201i	−0.0112232	−	0.0760140i
$647$	−7.41683	−	0.648889i	−0.291586	−	0.0255104i	−0.0595755	−	0.998224i	$-0.518975\pi$
$647$	−7.41683	−	0.648889i	−0.291586	−	0.0255104i	−0.232010	+	0.972713i	$0.574530\pi$
$648$	−41.7870	+	3.80037i	−1.64155	+	0.149293i
$649$	20.3205	+	29.0207i	0.797649	+	1.13916i
$650$	−0.667554	+	5.76848i	−0.0261836	+	0.226258i
$651$	1.60155	+	0.746813i	0.0627695	+	0.0292699i
$652$	−3.89613	+	1.55816i	−0.152584	+	0.0610222i
$653$	−11.8115	+	16.8685i	−0.462219	+	0.660117i	−0.980824	−	0.194897i	$-0.937563\pi$
$653$	−11.8115	+	16.8685i	−0.462219	+	0.660117i	0.518605	+	0.855014i	$0.326452\pi$
$654$	−34.0041	+	14.7141i	−1.32966	+	0.575365i
$655$	−10.3866	−	5.99673i	−0.405839	−	0.234311i
$656$	−8.52619	−	35.2555i	−0.332892	−	1.37650i
$657$	79.3152	+	13.9854i	3.09438	+	0.545623i
$658$	0.386517	+	0.0793486i	0.0150680	+	0.00309333i
$659$	15.1952	−	41.7484i	0.591921	−	1.62629i	−0.175016	−	0.984566i	$-0.555998\pi$
$659$	15.1952	−	41.7484i	0.591921	−	1.62629i	0.766937	−	0.641723i	$-0.221780\pi$
$660$	5.63132	−	39.0675i	0.219199	−	1.52070i
$661$	17.8262	+	38.2283i	0.693357	+	1.48691i	0.865011	+	0.501752i	$0.167311\pi$
$661$	17.8262	+	38.2283i	0.693357	+	1.48691i	−0.171654	+	0.985157i	$0.554911\pi$
$662$	−25.7304	−	7.67114i	−1.00004	−	0.298147i
$663$	3.76155	+	4.48284i	0.146087	+	0.174099i
$664$	0.156828	+	0.577362i	0.00608612	+	0.0224060i
$665$			0.369231i			0.0143181i
$666$	−38.3881	−	41.9162i	−1.48751	−	1.62422i
$667$	5.00525			0.193804
$668$	−6.41237	+	5.73286i	−0.248102	+	0.221811i
$669$	59.5042	−	49.9300i	2.30057	−	1.93040i
$670$	−14.6130	−	4.35665i	−0.564550	−	0.168312i
$671$	−38.2627	+	17.8422i	−1.47712	+	0.688791i
$672$	1.09029	−	0.0379639i	0.0420590	−	0.00146449i
$673$	−35.5772	−	12.9490i	−1.37140	−	0.499148i	−0.451839	−	0.892099i	$-0.649232\pi$
$673$	−35.5772	−	12.9490i	−1.37140	−	0.499148i	−0.919559	+	0.392951i	$0.871454\pi$
$674$	−4.98228	+	24.2693i	−0.191910	+	0.934818i
$675$	−1.96266	+	11.1308i	−0.0755429	+	0.428425i
$676$	2.75824	−	6.43473i	0.106086	−	0.247490i
$677$	−18.2209	+	31.5594i	−0.700284	+	1.21293i	0.268082	+	0.963396i	$0.413610\pi$
$677$	−18.2209	+	31.5594i	−0.700284	+	1.21293i	−0.968367	+	0.249532i	$0.919723\pi$
$678$	17.9603	−	7.77169i	0.689761	−	0.298470i
$679$	0.133519	+	0.0934912i	0.00512400	+	0.00358786i
$680$	0.219866	−	2.61642i	0.00843147	−	0.100335i
$681$	−15.7215	+	33.7148i	−0.602448	+	1.29195i
$682$	−41.0363	−	4.74890i	−1.57136	−	0.181845i
$683$	−5.55625	+	3.89053i	−0.212604	+	0.148867i	−0.675028	−	0.737792i	$-0.735869\pi$
$683$	−5.55625	+	3.89053i	−0.212604	+	0.148867i	0.462424	+	0.886659i	$0.346980\pi$
$684$	−33.3703	+	20.6886i	−1.27594	+	0.791047i
$685$	−0.722698	+	8.26047i	−0.0276129	+	0.315616i
$686$	0.179884	+	1.21834i	0.00686801	+	0.0465166i
$687$	62.2155	−	22.6446i	2.37367	−	0.863946i
$688$	−28.6757	+	32.5209i	−1.09325	+	1.23985i
$689$	−13.6624	+	50.9887i	−0.520495	+	1.94252i
$690$	−14.1939	+	7.67424i	−0.540353	+	0.292153i
$691$	−9.95314	+	11.8617i	−0.378635	+	0.451240i	−0.921383	−	0.388656i	$-0.872940\pi$
$691$	−9.95314	+	11.8617i	−0.378635	+	0.451240i	0.542748	+	0.839896i	$0.317384\pi$
$692$	2.34736	+	19.6923i	0.0892331	+	0.748587i
$693$	−0.655293	−	1.13500i	−0.0248925	−	0.0431151i
$694$	11.6398	−	15.6724i	0.441841	−	0.594915i
$695$	−0.111813	+	0.0299601i	−0.00424129	+	0.00113645i
$696$	23.4614	+	4.05394i	0.889300	+	0.153664i
$697$	−2.98019	+	2.98019i	−0.112883	+	0.112883i
$698$	−16.0254	−	0.447954i	−0.606572	−	0.0169553i
$699$	−3.88670	−	22.0426i	−0.147009	−	0.833727i
$700$	0.0287292	−	0.122465i	0.00108586	−	0.00462876i
$701$	17.4657	−	1.52805i	0.659671	−	0.0577137i	0.247596	−	0.968863i	$-0.420360\pi$
$701$	17.4657	−	1.52805i	0.659671	−	0.0577137i	0.412075	+	0.911150i	$0.364804\pi$
$702$	28.7617	−	57.4328i	1.08554	−	2.16766i
$703$	−16.8822	−	6.45156i	−0.636724	−	0.243325i
$704$	−23.9050	+	8.88691i	−0.900955	+	0.334938i
$705$	−27.6550	+	2.41950i	−1.04155	+	0.0911236i
$706$	−15.8049	+	3.76491i	−0.594824	+	0.141694i
$707$	0.102262	−	0.0180316i	0.00384596	−	0.000678147i
$708$	32.5571	−	60.7129i	1.22357	−	2.28173i
$709$	−12.3676	+	12.3676i	−0.464476	+	0.464476i	−0.900119	−	0.435643i	$-0.856521\pi$
$709$	−12.3676	+	12.3676i	−0.464476	+	0.464476i	0.435643	+	0.900119i	$0.356521\pi$
$710$	−10.5303	+	9.95758i	−0.395194	+	0.373701i
$711$	10.3411	+	38.5935i	0.387822	+	1.44737i
$712$	−0.0936069	−	27.2888i	−0.00350807	−	1.02269i
$713$	8.44371	+	14.6249i	0.316219	+	0.547708i
$714$	−0.0697790	−	0.105830i	−0.00261141	−	0.00396059i
$715$	19.8131	+	16.6251i	0.740967	+	0.621745i
$716$	50.9879	−	1.60030i	1.90551	−	0.0598062i
$717$	−11.6893	+	43.6251i	−0.436545	+	1.62921i
$718$	29.4334	−	23.3277i	1.09844	−	0.870581i
$719$	10.6959	+	29.3866i	0.398888	+	1.09594i	0.962827	+	0.270120i	$0.0870632\pi$
$719$	10.6959	+	29.3866i	0.398888	+	1.09594i	−0.563939	+	0.825817i	$0.690715\pi$
$720$	−50.0312	+	16.8329i	−1.86455	+	0.627324i
$721$	0.102614	−	1.17288i	0.00382153	−	0.0436803i
$722$	7.53808	−	12.2524i	0.280538	−	0.455988i
$723$	47.2719	+	67.5113i	1.75806	+	2.51077i
$724$	−7.97470	−	5.21896i	−0.296378	−	0.193961i
$725$	1.16019	−	2.48804i	0.0430885	−	0.0924035i
$726$	−2.74381	−	2.43617i	−0.101833	−	0.0904148i
$727$	14.9273	−	21.3184i	0.553622	−	0.790654i	−0.440634	−	0.897687i	$-0.645246\pi$
$727$	14.9273	−	21.3184i	0.553622	−	0.790654i	0.994255	+	0.107033i	$0.0341351\pi$
$728$	−0.355306	+	0.620312i	−0.0131685	+	0.0229903i
$729$	−2.97573	+	5.15412i	−0.110212	+	0.190893i
$730$	34.3692	−	2.04121i	1.27206	−	0.0755486i
$731$	4.96145	+	0.874838i	0.183506	+	0.0323570i
$732$	64.5137	+	50.7715i	2.38449	+	1.87657i
$733$	10.7213	+	3.90222i	0.395999	+	0.144132i	0.532341	−	0.846530i	$-0.321312\pi$
$733$	10.7213	+	3.90222i	0.395999	+	0.144132i	−0.136342	+	0.990662i	$0.543535\pi$
$734$	24.3143	−	8.08776i	0.897459	−	0.298525i
$735$	−18.3041	−	39.2532i	−0.675156	−	1.44788i
$736$	8.74317	+	5.67914i	0.322278	+	0.209336i
$737$	13.1837	−	11.0625i	0.485630	−	0.407492i
$738$	78.7818	+	31.1938i	2.90000	+	1.14826i
$739$			45.7784i			1.68399i	0.539489	+	0.841993i	$0.318618\pi$
$739$			45.7784i			1.68399i	−0.539489	+	0.841993i	$0.681382\pi$
$740$	−20.1162	−	13.6283i	−0.739488	−	0.500987i
$741$		−	37.4092i		−	1.37426i
$742$	0.420963	−	1.06317i	0.0154540	−	0.0390301i
$743$	20.0137	−	16.7935i	0.734233	−	0.616094i	−0.197049	−	0.980394i	$-0.563136\pi$
$743$	20.0137	−	16.7935i	0.734233	−	0.616094i	0.931282	+	0.364299i	$0.118691\pi$
$744$	27.7333	+	75.3910i	1.01675	+	2.76397i
$745$	−14.8653	−	31.8787i	−0.544623	−	1.16795i
$746$	−12.2236	−	36.7480i	−0.447538	−	1.34544i
$747$	−1.31333	−	0.478013i	−0.0480522	−	0.0174896i
$748$	2.32873	+	1.83268i	0.0851468	+	0.0670094i
$749$	−0.0872641	−	0.0153870i	−0.00318856	−	0.000562229i
$750$	3.11994	+	52.5325i	0.113924	+	1.91822i
$751$	18.5602	−	32.1471i	0.677270	−	1.17307i	−0.298530	−	0.954400i	$-0.596496\pi$
$751$	18.5602	−	32.1471i	0.677270	−	1.17307i	0.975800	−	0.218666i	$-0.0701704\pi$
$752$	9.92493	+	14.9408i	0.361925	+	0.544836i
$753$	−6.37084	+	9.09850i	−0.232166	+	0.331568i
$754$	−10.3583	+	11.6663i	−0.377227	+	0.424863i
$755$	11.8306	−	25.3707i	0.430558	−	0.923335i
$756$	−0.761920	+	1.16423i	−0.0277108	+	0.0423427i
$757$	14.1407	+	20.1951i	0.513954	+	0.734002i	0.989316	−	0.145788i	$-0.0465719\pi$
$757$	14.1407	+	20.1951i	0.513954	+	0.734002i	−0.475362	+	0.879790i	$0.657683\pi$
$758$	23.6437	+	14.5463i	0.858776	+	0.528347i
$759$	1.58722	−	18.1421i	0.0576126	−	0.658515i
$760$	−11.8278	+	11.9092i	−0.429039	+	0.431992i
$761$	5.44520	+	14.9606i	0.197388	+	0.542320i	0.998413	−	0.0563111i	$-0.0179339\pi$
$761$	5.44520	+	14.9606i	0.197388	+	0.542320i	−0.801025	+	0.598631i	$0.795712\pi$
$762$	−7.71045	−	9.72857i	−0.279320	−	0.352429i
$763$	−0.136116	+	0.507992i	−0.00492774	+	0.0183906i
$764$	25.4621	−	0.799152i	0.921187	−	0.0289123i
$765$	4.69862	+	3.94261i	0.169879	+	0.142545i
$766$	6.41275	−	4.22824i	0.231702	−	0.152773i
$767$	22.5710	+	39.0942i	0.814993	+	1.41161i
$768$	36.3825	+	33.7015i	1.31284	+	1.21610i
$769$	−1.55668	−	5.80961i	−0.0561353	−	0.209500i	0.932162	−	0.362043i	$-0.117921\pi$
$769$	−1.55668	−	5.80961i	−0.0561353	−	0.209500i	−0.988297	+	0.152543i	$0.951254\pi$
$770$	−0.384944	−	0.407083i	−0.0138724	−	0.0146702i
$771$	−11.3973	+	11.3973i	−0.410465	+	0.410465i
$772$	−33.6388	−	18.0387i	−1.21069	−	0.649227i
$773$	−23.6367	+	4.16778i	−0.850152	+	0.149905i	−0.581715	−	0.813393i	$-0.697618\pi$
$773$	−23.6367	+	4.16778i	−0.850152	+	0.149905i	−0.268437	+	0.963297i	$0.586507\pi$
$774$	−23.4708	−	98.5290i	−0.843641	−	3.54155i
$775$	9.22706	−	0.807263i	0.331446	−	0.0289977i
$776$	1.31169	+	7.29257i	0.0470868	+	0.261788i
$777$	−1.17011	+	0.0835779i	−0.0419775	+	0.00299834i
$778$	−5.11029	−	2.55917i	−0.183213	−	0.0917507i
$779$	26.8399	−	2.34819i	0.961640	−	0.0841326i
$780$	11.4868	−	48.9652i	0.411292	−	1.75323i
$781$	−2.84037	−	16.1086i	−0.101637	−	0.576410i
$782$	0.0338493	−	1.21095i	0.00121045	−	0.0433035i
$783$	−21.4718	+	21.4718i	−0.767340	+	0.767340i
$784$	−16.6084	+	22.5232i	−0.593156	+	0.804401i
$785$	−16.4501	+	4.40778i	−0.587128	+	0.157321i
$786$	−21.1315	−	15.6943i	−0.753737	−	0.559798i
$787$	−14.3858	−	24.9169i	−0.512798	−	0.888191i	−0.999890	−	0.0148409i	$-0.995276\pi$
$787$	−14.3858	−	24.9169i	−0.512798	−	0.888191i	0.487092	−	0.873350i	$-0.338058\pi$
$788$	−25.2241	+	3.00677i	−0.898573	+	0.107112i
$789$	−19.8917	+	23.7061i	−0.708165	+	0.843958i
$790$	8.12357	+	15.0250i	0.289024	+	0.534564i
$791$	0.0718940	−	0.268312i	0.00255626	−	0.00954008i
$792$	15.2223	−	57.5998i	0.540899	−	2.04672i
$793$	−50.5504	+	18.3989i	−1.79510	+	0.653362i
$794$	30.4896	−	4.50169i	1.08204	−	0.159759i
$795$	−7.01164	+	80.1434i	−0.248677	+	2.84239i
$796$	9.51054	−	5.89626i	0.337092	−	0.208987i
$797$	6.59440	−	4.61745i	0.233586	−	0.163558i	−0.450924	−	0.892562i	$-0.648905\pi$
$797$	6.59440	−	4.61745i	0.233586	−	0.163558i	0.684509	+	0.729004i	$0.260016\pi$
$798$	−0.0931559	+	0.804980i	−0.00329768	+	0.0284960i
$799$	0.880817	−	1.88892i	0.0311611	−	0.0668251i
$800$	4.84964	−	3.02971i	0.171461	−	0.107117i
$801$	52.2196	+	36.5646i	1.84509	+	1.29195i
$802$	2.30393	+	5.32436i	0.0813546	+	0.188010i
$803$	−19.4293	+	33.6526i	−0.685646	+	1.18757i
$804$	−30.7595	−	13.1850i	−1.08480	−	0.464999i
$805$	−0.0397714	+	0.225555i	−0.00140176	+	0.00794977i
$806$	−51.5622	−	10.5853i	−1.81620	−	0.372851i
$807$	−69.3741	−	25.2501i	−2.44208	−	0.888846i
$808$	3.87599	+	2.69423i	0.136357	+	0.0947827i
$809$	2.17820	−	1.01571i	0.0765816	−	0.0357106i	−0.383950	−	0.923354i	$-0.625437\pi$
$809$	2.17820	−	1.01571i	0.0765816	−	0.0357106i	0.460532	+	0.887643i	$0.347659\pi$
$810$	11.9719	−	40.1559i	0.420649	−	1.41093i
$811$	−2.96410	+	2.48718i	−0.104084	+	0.0873365i	−0.693344	−	0.720606i	$-0.743864\pi$
$811$	−2.96410	+	2.48718i	−0.104084	+	0.0873365i	0.589261	+	0.807943i	$0.299419\pi$
$812$	0.251944	−	0.225246i	0.00884150	−	0.00790457i
$813$	−11.8474			−0.415507
$814$	25.3390	−	10.4877i	0.888132	−	0.367593i
$815$		−	4.19046i		−	0.146785i
$816$	1.13946	−	5.64873i	0.0398890	−	0.197745i
$817$	−20.7016	−	24.6712i	−0.724256	−	0.863134i
$818$	2.92469	−	9.80996i	0.102259	−	0.342997i
$819$	−0.705753	−	1.51349i	−0.0246610	−	0.0528857i
$820$	35.8520	+	5.16783i	1.25201	+	0.180469i
$821$	−7.97326	+	21.9064i	−0.278269	+	0.764537i	0.719290	+	0.694710i	$0.244467\pi$
$821$	−7.97326	+	21.9064i	−0.278269	+	0.764537i	−0.997559	+	0.0698275i	$0.977755\pi$
$822$	−3.65969	+	17.8268i	−0.127646	+	0.621781i
$823$	−0.537704	−	0.0948118i	−0.0187432	−	0.00330493i	0.164269	−	0.986416i	$-0.447474\pi$
$823$	−0.537704	−	0.0948118i	−0.0187432	−	0.00330493i	−0.183012	+	0.983111i	$0.558585\pi$
$824$	40.8813	−	34.5431i	1.42417	−	1.20337i
$825$	−8.65025	−	4.99422i	−0.301163	−	0.173877i
$826$	−0.388338	−	0.897446i	−0.0135120	−	0.0312261i
$827$	−3.31365	+	4.73239i	−0.115227	+	0.164561i	−0.872623	−	0.488395i	$-0.837583\pi$
$827$	−3.31365	+	4.73239i	−0.115227	+	0.164561i	0.757396	+	0.652956i	$0.226471\pi$
$828$	−22.6136	+	9.04374i	−0.785878	+	0.314292i
$829$	−26.0277	−	12.1369i	−0.903980	−	0.421533i	−0.0856787	−	0.996323i	$-0.527306\pi$
$829$	−26.0277	−	12.1369i	−0.903980	−	0.421533i	−0.818301	+	0.574790i	$0.805084\pi$
$830$	−0.593510	−	0.0686835i	−0.0206010	−	0.00238404i
$831$	−39.2153	−	56.0052i	−1.36036	−	1.94280i
$832$	−31.3309	+	8.62589i	−1.08620	+	0.299049i
$833$	3.23930	+	0.283402i	0.112235	+	0.00981931i
$834$	−0.251328	+	0.0371077i	−0.00870276	+	0.00128493i
$835$	−2.93786	−	8.07171i	−0.101669	−	0.279333i
$836$	−3.87319	−	18.5436i	−0.133957	−	0.641345i
$837$	−98.9611	−	26.5166i	−3.42060	−	0.916546i
$838$	−6.47657	+	3.50170i	−0.223729	+	0.120964i
$839$	−31.2041	−	26.1834i	−1.07729	−	0.903950i	−0.0815931	−	0.996666i	$-0.526001\pi$
$839$	−31.2041	−	26.1834i	−1.07729	−	0.903950i	−0.995693	+	0.0927157i	$0.970445\pi$
$840$	−0.369108	+	1.02504i	−0.0127354	+	0.0353673i
$841$	−18.7274	+	10.8123i	−0.645772	+	0.372837i
$842$	−23.1558	−	17.1977i	−0.798000	−	0.592672i
$843$	0.264511	+	0.987169i	0.00911025	+	0.0339999i
$844$	18.1334	−	5.47399i	0.624176	−	0.188423i
$845$	4.94372	+	4.94372i	0.170069	+	0.170069i
$846$	−41.8851	−	1.17080i	−1.44004	−	0.0402530i
$847$	−0.0512912	+	0.00904402i	−0.00176239	+	0.000310756i
$848$	47.6348	−	20.8066i	1.63579	−	0.714501i
$849$	−7.02051	−	80.2448i	−0.240943	−	2.75399i
$850$	−0.594100	−	0.297518i	−0.0203775	−	0.0102048i
$851$	−9.61804	−	5.75957i	−0.329702	−	0.197436i
$852$	−25.4699	+	19.0523i	−0.872585	+	0.652722i
$853$	1.70264	+	19.4613i	0.0582974	+	0.666343i	0.967978	+	0.251034i	$0.0807707\pi$
$853$	1.70264	+	19.4613i	0.0582974	+	0.666343i	−0.909681	+	0.415308i	$0.863674\pi$
$854$	1.13357	−	0.270031i	0.0387901	−	0.00924029i
$855$	−6.80871	−	38.6141i	−0.232853	−	1.32058i
$856$	−2.32172	−	3.29167i	−0.0793549	−	0.112507i
$857$	−6.20071	−	6.20071i	−0.211812	−	0.211812i	0.593225	−	0.805037i	$-0.297855\pi$
$857$	−6.20071	−	6.20071i	−0.211812	−	0.211812i	−0.805037	+	0.593225i	$0.797855\pi$
$858$	39.0011	+	41.2442i	1.33148	+	1.40805i
$859$	32.6122	−	8.73840i	1.11271	−	0.298150i	0.344782	−	0.938683i	$-0.387953\pi$
$859$	32.6122	−	8.73840i	1.11271	−	0.298150i	0.767931	+	0.640532i	$0.221286\pi$
$860$	−19.5210	−	38.6488i	−0.665660	−	1.31791i
$861$	1.51451	−	0.874401i	0.0516142	−	0.0297995i
$862$	23.2925	+	35.3265i	0.793346	+	1.20322i
$863$	5.73261	−	6.83185i	0.195140	−	0.232559i	−0.659598	−	0.751619i	$-0.729273\pi$
$863$	5.73261	−	6.83185i	0.195140	−	0.232559i	0.854738	+	0.519060i	$0.173718\pi$
$864$	−61.8696	+	13.1443i	−2.10485	+	0.447177i
$865$	−19.1299	−	5.12585i	−0.650437	−	0.174284i
$866$	10.2665	+	12.9536i	0.348869	+	0.440182i
$867$	48.8857	−	17.7930i	1.66025	−	0.604281i
$868$	1.08317	+	0.356177i	0.0367652	+	0.0120894i
$869$	−19.2043	−	1.68016i	−0.651460	−	0.0569954i
$870$	−12.4591	+	20.2510i	−0.422402	+	0.686574i
$871$	17.9634	−	12.5781i	0.608666	−	0.426193i
$872$	−20.6631	+	12.0246i	−0.699742	+	0.407203i
$873$	−15.6874	−	7.31517i	−0.530939	−	0.247581i
$874$	−5.14166	+	5.79096i	−0.173919	+	0.195882i
$875$	0.611886	+	0.428447i	0.0206855	+	0.0144841i
$876$	75.4452	+	4.22109i	2.54906	+	0.142617i
$877$	−14.1170	−	8.15046i	−0.476698	−	0.275222i	0.242341	−	0.970191i	$-0.422085\pi$
$877$	−14.1170	−	8.15046i	−0.476698	−	0.275222i	−0.719039	+	0.694969i	$0.755418\pi$
$878$	−0.903202	+	0.0536418i	−0.0304816	+	0.00181032i
$879$	−5.44384	+	30.8736i	−0.183616	+	1.04134i
$880$	0.624312	−	25.4612i	0.0210455	−	0.858297i
$881$	−0.778973	+	2.14021i	−0.0262443	+	0.0721055i	−0.952123	−	0.305716i	$-0.901104\pi$
$881$	−0.778973	+	2.14021i	−0.0262443	+	0.0721055i	0.925879	+	0.377821i	$0.123327\pi$
$882$	−20.6337	−	62.0314i	−0.694774	−	2.08871i
$883$	−10.7925	+	5.03264i	−0.363198	+	0.169362i	−0.595646	−	0.803247i	$-0.703104\pi$
$883$	−10.7925	+	5.03264i	−0.363198	+	0.169362i	0.232449	+	0.972609i	$0.425326\pi$
$884$	2.75246	+	2.58494i	0.0925751	+	0.0869409i
$885$	44.2224	+	52.7022i	1.48652	+	1.77157i
$886$	16.9081	+	6.69478i	0.568039	+	0.224916i
$887$	−28.0500			−0.941826			−0.470913	−	0.882180i	$-0.656075\pi$
$887$	−28.0500			−0.941826			−0.470913	+	0.882180i	$0.656075\pi$
$888$	−40.4182	−	34.7871i	−1.35635	−	1.16738i
$889$	−0.176201			−0.00590960
$890$	25.3380	+	10.0326i	0.849332	+	0.336294i
$891$	30.3992	+	36.2284i	1.01841	+	1.21370i
$892$	34.3119	−	36.5355i	1.14885	−	1.22330i
$893$	−12.0751	+	5.63072i	−0.404078	+	0.188425i
$894$	−24.3658	−	73.2511i	−0.814913	−	2.44988i
$895$	−17.4238	+	47.8715i	−0.582414	+	1.60017i
$896$	0.695667	−	0.107594i	0.0232406	−	0.00359448i
$897$	4.02950	−	22.8524i	0.134541	−	0.763021i
$898$	−51.0754	+	3.03340i	−1.70441	+	0.101226i
$899$	21.5505	+	12.4422i	0.718750	+	0.414971i
$900$	−0.746205	+	13.3372i	−0.0248735	+	0.444574i
$901$	−4.94762	−	3.46436i	−0.164829	−	0.115415i
$902$	−27.1433	+	30.5710i	−0.903775	+	1.01790i
$903$	−1.89459	−	0.883460i	−0.0630479	−	0.0293997i
$904$	10.9139	−	6.35114i	0.362990	−	0.211236i
$905$	7.79646	−	5.45914i	0.259163	−	0.181468i
$906$	32.1934	−	52.3273i	1.06956	−	1.73846i
$907$	45.9955	+	4.02409i	1.52726	+	0.133618i	0.819599	−	0.572938i	$-0.194196\pi$
$907$	45.9955	+	4.02409i	1.52726	+	0.133618i	0.707658	+	0.706555i	$0.249752\pi$
$908$	−7.49803	+	22.8023i	−0.248831	+	0.756721i
$909$	−10.3621	+	3.77148i	−0.343688	+	0.125092i
$910$	−0.443422	−	0.559482i	−0.0146993	−	0.0185467i
$911$	0.621059	+	0.166412i	0.0205766	+	0.00551349i	0.269093	−	0.963114i	$-0.413276\pi$
$911$	0.621059	+	0.166412i	0.0205766	+	0.00551349i	−0.248516	+	0.968628i	$0.579943\pi$
$912$	−28.7911	+	22.9798i	−0.953368	+	0.760937i
$913$	0.433449	−	0.516565i	0.0143451	−	0.0170958i
$914$	10.7556	+	16.3125i	0.355765	+	0.539569i
$915$	−71.0008	+	40.9923i	−2.34721	+	1.35516i
$916$	38.1329	−	19.2604i	1.25995	−	0.636382i
$917$	−0.360892	+	0.0967008i	−0.0119177	+	0.00319334i
$918$	5.04959	+	5.34001i	0.166661	+	0.176247i
$919$	−21.6990	−	21.6990i	−0.715784	−	0.715784i	0.251955	−	0.967739i	$-0.418927\pi$
$919$	−21.6990	−	21.6990i	−0.715784	−	0.715784i	−0.967739	+	0.251955i	$0.918927\pi$
$920$	−8.50813	+	6.00105i	−0.280505	+	0.197849i
$921$	−10.1771	−	57.7175i	−0.335348	−	1.90186i
$922$	−38.2073	+	9.10145i	−1.25829	+	0.299740i
$923$	−1.81652	−	20.7629i	−0.0597915	−	0.683420i
$924$	−0.736531	−	0.984624i	−0.0242301	−	0.0323918i
$925$	−5.09242	+	3.44595i	−0.167438	+	0.113302i
$926$	4.35732	+	2.18209i	0.143190	+	0.0717080i
$927$	10.8969	+	124.552i	0.357901	+	4.09082i
$928$	15.3417	+	0.805572i	0.503614	+	0.0264442i
$929$	25.1605	−	4.43648i	0.825490	−	0.145556i	0.255084	−	0.966919i	$-0.417897\pi$
$929$	25.1605	−	4.43648i	0.825490	−	0.145556i	0.570406	+	0.821363i	$0.306786\pi$
$930$	−80.1899	−	2.24152i	−2.62953	−	0.0735024i
$931$	−14.6984	−	14.6984i	−0.481721	−	0.481721i
$932$	−4.17376	−	13.8262i	−0.136716	−	0.452891i
$933$	−21.3428	−	79.6524i	−0.698732	−	2.60770i
$934$	−16.3693	−	12.1574i	−0.535619	−	0.397803i
$935$	−2.56289	+	1.47969i	−0.0838155	+	0.0483909i
$936$	25.7192	−	71.4242i	0.840657	−	2.33457i
$937$	−0.193928	−	0.162725i	−0.00633536	−	0.00531600i	0.639614	−	0.768696i	$-0.279094\pi$
$937$	−0.193928	−	0.162725i	−0.00633536	−	0.00531600i	−0.645950	+	0.763380i	$0.723538\pi$
$938$	−0.417863	+	0.225927i	−0.0136437	+	0.00737677i
$939$	−45.0464	−	12.0701i	−1.47003	−	0.393894i
$940$	−17.5342	+	3.66234i	−0.571902	+	0.119452i
$941$	−18.7014	−	51.3818i	−0.609649	−	1.67500i	−0.730991	−	0.682387i	$-0.760942\pi$
$941$	−18.7014	−	51.3818i	−0.609649	−	1.67500i	0.121341	−	0.992611i	$-0.461280\pi$
$942$	−36.9758	+	5.45935i	−1.20474	+	0.177875i
$943$	16.6489	+	1.45659i	0.542162	+	0.0474330i
$944$	16.2229	−	41.3862i	0.528011	−	1.34700i
$945$	−0.796984	−	1.13821i	−0.0259259	−	0.0370260i
$946$	48.5449	+	5.61782i	1.57833	+	0.182651i
$947$	20.4447	+	9.53351i	0.664363	+	0.309797i	0.725389	−	0.688339i	$-0.241660\pi$
$947$	20.4447	+	9.53351i	0.664363	+	0.309797i	−0.0610266	+	0.998136i	$0.519437\pi$
$948$	13.9199	+	34.8063i	0.452097	+	1.13046i
$949$	−28.4000	+	40.5594i	−0.921903	+	1.31661i
$950$	1.68679	+	3.89816i	0.0547268	+	0.126473i
$951$	26.1330	+	15.0879i	0.847420	+	0.489258i
$952$	−0.0527911	−	0.0624775i	−0.00171097	−	0.00202491i
$953$	−27.0099	−	4.76257i	−0.874937	−	0.154275i	−0.281894	−	0.959446i	$-0.590962\pi$
$953$	−27.0099	−	4.76257i	−0.874937	−	0.154275i	−0.593043	+	0.805171i	$0.702074\pi$
$954$	−24.4192	+	118.949i	−0.790599	+	3.85111i
$955$	−8.70102	+	23.9059i	−0.281558	+	0.773575i
$956$	−4.15767	+	28.8440i	−0.134469	+	0.932881i
$957$	−11.3411	−	24.3210i	−0.366605	−	0.786187i
$958$	2.88494	−	9.67661i	0.0932080	−	0.312637i
$959$	0.166042	+	0.197881i	0.00536177	+	0.00638991i
$960$	−44.7410	+	21.2380i	−1.44401	+	0.685452i
$961$			52.9585i			1.70834i
$962$	33.3289	−	10.4986i	1.07457	−	0.338488i
$963$	9.40981			0.303227
$964$	35.4439	+	39.6451i	1.14157	+	1.27688i
$965$	29.2003	−	24.5020i	0.939992	−	0.788747i
$966$	−0.143615	+	0.481711i	−0.00462073	+	0.0154988i
$967$	24.6633	−	11.5007i	0.793118	−	0.369837i	0.0165438	−	0.999863i	$-0.494734\pi$
$967$	24.6633	−	11.5007i	0.793118	−	0.369837i	0.776574	+	0.630026i	$0.216956\pi$
$968$	−1.94406	−	1.35133i	−0.0624846	−	0.0434335i
$969$	4.02221	+	1.46397i	0.129212	+	0.0470294i
$970$	−7.24838	−	1.48803i	−0.232731	−	0.0477778i
$971$	−8.44845	+	47.9136i	−0.271124	+	1.53762i	0.479888	+	0.877330i	$0.340677\pi$
$971$	−8.44845	+	47.9136i	−0.271124	+	1.53762i	−0.751011	+	0.660289i	$0.770434\pi$
$972$	9.80083	−	22.8645i	0.314362	−	0.733379i
$973$	−0.00180304	+	0.00312296i	−5.78029e−5	+	0.000100118i
$974$	−8.02950	−	18.5561i	−0.257282	−	0.594576i
$975$	−10.4256	−	7.30009i	−0.333887	−	0.233790i
$976$	45.2125	+	27.6028i	1.44722	+	0.883545i
$977$	19.8774	−	42.6272i	0.635934	−	1.36377i	−0.279050	−	0.960277i	$-0.590020\pi$
$977$	19.8774	−	42.6272i	0.635934	−	1.36377i	0.914984	−	0.403489i	$-0.132203\pi$
$978$	1.05724	−	9.13585i	0.0338068	−	0.292132i
$979$	−25.1951	+	17.6418i	−0.805239	+	0.563835i
$980$	−14.7256	−	23.7521i	−0.470393	−	0.758735i
$981$	4.86751	−	55.6358i	0.155408	−	1.77632i
$982$	−40.1249	+	5.92431i	−1.28044	+	0.189052i
$983$	3.26766	−	1.18933i	0.104222	−	0.0379338i	−0.289383	−	0.957213i	$-0.593450\pi$
$983$	3.26766	−	1.18933i	0.104222	−	0.0379338i	0.393605	+	0.919280i	$0.371228\pi$
$984$	76.8592	+	20.3121i	2.45018	+	0.647525i
$985$	6.56578	−	24.5038i	0.209203	−	0.780757i
$986$	−0.849000	−	1.57027i	−0.0270377	−	0.0500075i
$987$	−0.555887	+	0.662480i	−0.0176941	+	0.0210870i
$988$	−2.85710	−	23.9686i	−0.0908965	−	0.762542i
$989$	−9.98869	−	17.3009i	−0.317622	−	0.550137i
$990$	47.7641	+	35.4742i	1.51804	+	1.12745i
$991$	−5.02406	+	1.34619i	−0.159594	+	0.0427632i	−0.337732	−	0.941242i	$-0.609660\pi$
$991$	−5.02406	+	1.34619i	−0.159594	+	0.0427632i	0.178137	+	0.984006i	$0.442993\pi$
$992$	23.5271	+	46.1860i	0.746986	+	1.46641i
$993$	41.6111	−	41.6111i	1.32049	−	1.32049i
$994$	−0.0126152	+	0.451306i	−0.000400130	+	0.0143145i
$995$	1.94049	+	11.0050i	0.0615176	+	0.348883i
$996$	−1.27662	−	0.299482i	−0.0404511	−	0.00948944i
$997$	47.4162	−	4.14838i	1.50169	−	0.131381i	0.693564	−	0.720395i	$-0.256039\pi$
$997$	47.4162	−	4.14838i	1.50169	−	0.131381i	0.808123	+	0.589014i	$0.200484\pi$
$998$	43.4572	+	21.7629i	1.37561	+	0.688891i
$999$	65.9677	−	16.5523i	2.08713	−	0.523690i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.bj.a.19.15	yes	432
8.3	odd	2	inner	296.2.bj.a.19.11	✓	432
37.2	odd	36	inner	296.2.bj.a.187.11	yes	432
296.187	even	36	inner	296.2.bj.a.187.15	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.19.11	✓	432	8.3	odd	2	inner
296.2.bj.a.19.15	yes	432	1.1	even	1	trivial
296.2.bj.a.187.11	yes	432	37.2	odd	36	inner
296.2.bj.a.187.15	yes	432	296.187	even	36	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:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.bj (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.520633 + 1.31489i) q^{2} +(-1.99237 - 2.37441i) q^{3} +(-1.45788 - 1.36915i) q^{4} +(1.81016 - 0.844089i) q^{5} +(4.15938 - 1.38355i) q^{6} +(0.0212805 - 0.0584676i) q^{7} +(2.55931 - 1.20413i) q^{8} +(-1.14735 + 6.50696i) q^{9} +(0.167459 + 2.81962i) q^{10} +(-2.76083 - 1.59397i) q^{11} +(-0.346295 + 6.18946i) q^{12} +(-3.32746 - 2.32991i) q^{13} +(0.0657993 + 0.0584217i) q^{14} +(-5.61071 - 2.61631i) q^{15} +(0.250840 + 3.99213i) q^{16} +(0.380728 - 0.266588i) q^{17} +(-7.95860 - 4.89638i) q^{18} +(-2.95987 - 0.258955i) q^{19} +(-3.79468 - 1.24780i) q^{20} +(-0.181225 + 0.0659603i) q^{21} +(3.53328 - 2.80032i) q^{22} +(-1.78023 - 0.477010i) q^{23} +(-7.95818 - 3.67778i) q^{24} +(-0.649762 + 0.774356i) q^{25} +(4.79597 - 3.16222i) q^{26} +(9.68321 - 5.59060i) q^{27} +(-0.111076 + 0.0561027i) q^{28} +(-2.62324 + 0.702896i) q^{29} +(6.36129 - 6.01533i) q^{30} +(-6.47914 - 6.47914i) q^{31} +(-5.37981 - 1.74861i) q^{32} +(1.71586 + 9.73111i) q^{33} +(0.152315 + 0.639410i) q^{34} +(-0.0108309 - 0.123798i) q^{35} +(10.5817 - 7.91548i) q^{36} +(5.84962 + 1.66790i) q^{37} +(1.88150 - 3.75708i) q^{38} +(1.09735 + 12.5428i) q^{39} +(3.61636 - 4.33995i) q^{40} +(-8.93019 + 1.57463i) q^{41} +(0.00762079 - 0.272632i) q^{42} +(7.66465 + 7.66465i) q^{43} +(1.84258 + 6.10382i) q^{44} +(3.41557 + 12.7471i) q^{45} +(1.55406 - 2.09246i) q^{46} +(3.88346 - 2.24211i) q^{47} +(8.97918 - 8.54938i) q^{48} +(5.35935 + 4.49702i) q^{49} +(-0.679907 - 1.25752i) q^{50} +(-1.39154 - 0.372862i) q^{51} +(1.66104 + 7.95254i) q^{52} +(-4.44461 - 12.2115i) q^{53} +(2.30964 + 15.6430i) q^{54} +(-6.34299 - 0.554940i) q^{55} +(-0.0159393 - 0.175261i) q^{56} +(5.28227 + 7.54387i) q^{57} +(0.441516 - 3.81523i) q^{58} +(-10.0718 - 4.69658i) q^{59} +(4.59761 + 11.4962i) q^{60} +(7.59595 - 10.8481i) q^{61} +(11.8926 - 5.14611i) q^{62} +(0.356030 + 0.205554i) q^{63} +(5.10014 - 6.16349i) q^{64} +(-7.98988 - 1.40883i) q^{65} +(-13.6887 - 2.81017i) q^{66} +(-1.84641 + 5.07296i) q^{67} +(-0.920056 - 0.132620i) q^{68} +(2.41424 + 5.17736i) q^{69} +(0.168420 + 0.0502119i) q^{70} +(3.29810 + 3.93052i) q^{71} +(4.89880 + 18.0349i) q^{72} -12.1893i q^{73} +(-5.23862 + 6.82326i) q^{74} +3.13320 q^{75} +(3.96059 + 4.43004i) q^{76} +(-0.151947 + 0.127499i) q^{77} +(-17.0637 - 5.08729i) q^{78} +(5.48050 - 2.55560i) q^{79} +(3.82377 + 7.01464i) q^{80} +(-13.9403 - 5.07384i) q^{81} +(2.57888 - 12.5620i) q^{82} +(-0.0367309 + 0.208311i) q^{83} +(0.354514 + 0.151962i) q^{84} +(0.464152 - 0.803934i) q^{85} +(-14.0687 + 6.08772i) q^{86} +(6.89543 + 4.82823i) q^{87} +(-8.98517 - 0.755053i) q^{88} +(4.07747 - 8.74416i) q^{89} +(-18.5393 - 2.14545i) q^{90} +(-0.207034 + 0.144967i) q^{91} +(1.94226 + 3.13282i) q^{92} +(-2.47531 + 28.2929i) q^{93} +(0.926282 + 6.27364i) q^{94} +(-5.57640 + 2.02964i) q^{95} +(6.56665 + 16.2577i) q^{96} +(-0.678025 + 2.53042i) q^{97} +(-8.70336 + 4.70566i) q^{98} +(13.5395 - 16.1358i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) \) 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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