LMFDB - Embedded newform 296.2.bj.a.19.14

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)

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);

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")

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			19.14
Character	$\chi$	$=$	296.19
Dual form			296.2.bj.a.187.14

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.548118 + 1.30367i) q^{2} +(1.64673 + 1.96249i) q^{3} +(-1.39913 - 1.42914i) q^{4} +(-1.88463 + 0.878817i) q^{5} +(-3.46105 + 1.07112i) q^{6} +(-0.782841 + 2.15084i) q^{7} +(2.63002 - 1.04068i) q^{8} +(-0.618722 + 3.50895i) q^{9} +(-0.112691 - 2.93864i) q^{10} +(-1.03575 - 0.597988i) q^{11} +(0.500679 - 5.09918i) q^{12} +(-1.15000 - 0.805236i) q^{13} +(-2.37490 - 2.19948i) q^{14} +(-4.82814 - 2.25140i) q^{15} +(-0.0848578 + 3.99910i) q^{16} +(-3.90986 + 2.73772i) q^{17} +(-4.23539 - 2.72993i) q^{18} +(7.00654 + 0.612993i) q^{19} +(3.89279 + 1.46381i) q^{20} +(-5.51013 + 2.00552i) q^{21} +(1.34729 - 1.02251i) q^{22} +(-2.51585 - 0.674119i) q^{23} +(6.37324 + 3.44768i) q^{24} +(-0.434432 + 0.517736i) q^{25} +(1.68010 - 1.05786i) q^{26} +(-1.24926 + 0.721261i) q^{27} +(4.16914 - 1.89052i) q^{28} +(6.60431 - 1.76962i) q^{29} +(5.58148 - 5.06028i) q^{30} +(1.39455 + 1.39455i) q^{31} +(-5.16701 - 2.30261i) q^{32} +(-0.532043 - 3.01737i) q^{33} +(-1.42602 - 6.59778i) q^{34} +(-0.414828 - 4.74150i) q^{35} +(5.88044 - 4.02524i) q^{36} +(4.14837 + 4.44871i) q^{37} +(-4.63956 + 8.79825i) q^{38} +(-0.313460 - 3.58286i) q^{39} +(-4.04204 + 4.27259i) q^{40} +(-2.63539 + 0.464691i) q^{41} +(0.405655 - 8.28267i) q^{42} +(0.0299254 + 0.0299254i) q^{43} +(0.594539 + 2.31689i) q^{44} +(-1.91766 - 7.15681i) q^{45} +(2.25781 - 2.91035i) q^{46} +(-2.21941 + 1.28138i) q^{47} +(-7.98794 + 6.41889i) q^{48} +(1.34905 + 1.13198i) q^{49} +(-0.436838 - 0.850138i) q^{50} +(-11.8112 - 3.16481i) q^{51} +(0.458205 + 2.77013i) q^{52} +(4.18933 + 11.5101i) q^{53} +(-0.255546 - 2.02397i) q^{54} +(2.47752 + 0.216755i) q^{55} +(0.179442 + 6.47143i) q^{56} +(10.3349 + 14.7597i) q^{57} +(-1.31294 + 9.57984i) q^{58} +(-8.51880 - 3.97238i) q^{59} +(3.53765 + 10.0501i) q^{60} +(6.15485 - 8.79004i) q^{61} +(-2.58242 + 1.05366i) q^{62} +(-7.06282 - 4.07772i) q^{63} +(5.83398 - 5.47400i) q^{64} +(2.87497 + 0.506935i) q^{65} +(4.22528 + 0.960263i) q^{66} +(3.99923 - 10.9878i) q^{67} +(9.38298 + 1.75730i) q^{68} +(-2.81996 - 6.04742i) q^{69} +(6.40875 + 2.05811i) q^{70} +(3.21389 + 3.83017i) q^{71} +(2.02443 + 9.87248i) q^{72} +12.8468i q^{73} +(-8.07347 + 2.96970i) q^{74} -1.73144 q^{75} +(-8.92702 - 10.8710i) q^{76} +(2.09700 - 1.75959i) q^{77} +(4.84270 + 1.55518i) q^{78} +(7.01731 - 3.27223i) q^{79} +(-3.35455 - 7.61139i) q^{80} +(6.57194 + 2.39199i) q^{81} +(0.838702 - 3.69040i) q^{82} +(-2.51712 + 14.2753i) q^{83} +(10.5756 + 5.06873i) q^{84} +(4.96269 - 8.59563i) q^{85} +(-0.0554156 + 0.0226103i) q^{86} +(14.3484 + 10.0468i) q^{87} +(-3.34634 - 0.494843i) q^{88} +(4.38493 - 9.40352i) q^{89} +(10.3812 + 1.42277i) q^{90} +(2.63220 - 1.84308i) q^{91} +(2.55660 + 4.53867i) q^{92} +(-0.440352 + 5.03324i) q^{93} +(-0.453998 - 3.59573i) q^{94} +(-13.7434 + 5.00220i) q^{95} +(-3.98980 - 13.9320i) q^{96} +(-0.373741 + 1.39482i) q^{97} +(-2.21518 + 1.13826i) q^{98} +(2.73915 - 3.26439i) 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 $

$2$	−0.548118	+	1.30367i	−0.387578	+	0.921837i
$2$	−0.548118	+	1.30367i	−0.387578	+	0.921837i
$3$	1.64673	+	1.96249i	0.950738	+	1.13304i	0.991001	+	0.133856i	$0.0427359\pi$
$3$	1.64673	+	1.96249i	0.950738	+	1.13304i	−0.0402632	+	0.999189i	$0.512820\pi$
$4$	−1.39913	−	1.42914i	−0.699566	−	0.714568i
$5$	−1.88463	+	0.878817i	−0.842832	+	0.393019i	−0.795568	−	0.605864i	$-0.792828\pi$
$5$	−1.88463	+	0.878817i	−0.842832	+	0.393019i	−0.0472631	+	0.998882i	$0.515050\pi$
$6$	−3.46105	+	1.07112i	−1.41297	+	0.437281i
$7$	−0.782841	+	2.15084i	−0.295886	+	0.812940i	0.699290	+	0.714838i	$0.253500\pi$
$7$	−0.782841	+	2.15084i	−0.295886	+	0.812940i	−0.995176	+	0.0981025i	$0.968723\pi$
$8$	2.63002	−	1.04068i	0.929852	−	0.367935i
$9$	−0.618722	+	3.50895i	−0.206241	+	1.16965i
$10$	−0.112691	−	2.93864i	−0.0356360	−	0.929279i
$11$	−1.03575	−	0.597988i	−0.312289	−	0.180300i	0.335661	−	0.941983i	$-0.391040\pi$
$11$	−1.03575	−	0.597988i	−0.312289	−	0.180300i	−0.647950	+	0.761683i	$0.724374\pi$
$12$	0.500679	−	5.09918i	0.144534	−	1.47201i
$13$	−1.15000	−	0.805236i	−0.318952	−	0.223332i	0.403126	−	0.915145i	$-0.367924\pi$
$13$	−1.15000	−	0.805236i	−0.318952	−	0.223332i	−0.722077	+	0.691812i	$0.756813\pi$
$14$	−2.37490	−	2.19948i	−0.634719	−	0.587837i
$15$	−4.82814	−	2.25140i	−1.24662	−	0.581308i
$16$	−0.0848578	+	3.99910i	−0.0212145	+	0.999775i
$17$	−3.90986	+	2.73772i	−0.948281	+	0.663994i	−0.941867	−	0.335986i	$-0.890931\pi$
$17$	−3.90986	+	2.73772i	−0.948281	+	0.663994i	−0.00641401	+	0.999979i	$0.502042\pi$
$18$	−4.23539	−	2.72993i	−0.998291	−	0.643451i
$19$	7.00654	+	0.612993i	1.60741	+	0.140630i	0.855202	−	0.518295i	$-0.173433\pi$
$19$	7.00654	+	0.612993i	1.60741	+	0.140630i	0.752208	+	0.658925i	$0.228989\pi$
$20$	3.89279	+	1.46381i	0.870455	+	0.327318i
$21$	−5.51013	+	2.00552i	−1.20241	+	0.437641i
$22$	1.34729	−	1.02251i	0.287244	−	0.217999i
$23$	−2.51585	−	0.674119i	−0.524590	−	0.140564i	−0.0132014	−	0.999913i	$-0.504202\pi$
$23$	−2.51585	−	0.674119i	−0.524590	−	0.140564i	−0.511389	+	0.859349i	$0.670869\pi$
$24$	6.37324	+	3.44768i	1.30093	+	0.703754i
$25$	−0.434432	+	0.517736i	−0.0868863	+	0.103547i
$26$	1.68010	−	1.05786i	0.329495	−	0.207463i
$27$	−1.24926	+	0.721261i	−0.240420	+	0.138807i
$28$	4.16914	−	1.89052i	0.787893	−	0.357275i
$29$	6.60431	−	1.76962i	1.22639	−	0.328610i	0.413217	−	0.910632i	$-0.364405\pi$
$29$	6.60431	−	1.76962i	1.22639	−	0.328610i	0.813173	+	0.582022i	$0.197738\pi$
$30$	5.58148	−	5.06028i	1.01903	−	0.923877i
$31$	1.39455	+	1.39455i	0.250469	+	0.250469i	0.821163	−	0.570694i	$-0.193326\pi$
$31$	1.39455	+	1.39455i	0.250469	+	0.250469i	−0.570694	+	0.821163i	$0.693326\pi$
$32$	−5.16701	−	2.30261i	−0.913407	−	0.407047i
$33$	−0.532043	−	3.01737i	−0.0926168	−	0.525256i
$34$	−1.42602	−	6.59778i	−0.244561	−	1.13151i
$35$	−0.414828	−	4.74150i	−0.0701187	−	0.801461i
$36$	5.88044	−	4.02524i	0.980073	−	0.670874i
$37$	4.14837	+	4.44871i	0.681988	+	0.731364i
$37$	4.14837	+	4.44871i	0.681988	+	0.731364i
$38$	−4.63956	+	8.79825i	−0.752635	+	1.42726i
$39$	−0.313460	−	3.58286i	−0.0501937	−	0.573717i
$40$	−4.04204	+	4.27259i	−0.639103	+	0.675556i
$41$	−2.63539	+	0.464691i	−0.411579	+	0.0725725i	−0.375604	−	0.926780i	$-0.622565\pi$
$41$	−2.63539	+	0.464691i	−0.411579	+	0.0725725i	−0.0359751	+	0.999353i	$0.511454\pi$
$42$	0.405655	−	8.28267i	0.0625939	−	1.27804i
$43$	0.0299254	+	0.0299254i	0.00456358	+	0.00456358i	0.709385	−	0.704821i	$-0.248973\pi$
$43$	0.0299254	+	0.0299254i	0.00456358	+	0.00456358i	−0.704821	+	0.709385i	$0.748973\pi$
$44$	0.594539	+	2.31689i	0.0896302	+	0.349284i
$45$	−1.91766	−	7.15681i	−0.285868	−	1.06687i
$46$	2.25781	−	2.91035i	0.332897	−	0.429107i
$47$	−2.21941	+	1.28138i	−0.323734	+	0.186908i	−0.653056	−	0.757310i	$-0.726513\pi$
$47$	−2.21941	+	1.28138i	−0.323734	+	0.186908i	0.329322	+	0.944218i	$0.393180\pi$
$48$	−7.98794	+	6.41889i	−1.15296	+	0.926487i
$49$	1.34905	+	1.13198i	0.192721	+	0.161712i
$50$	−0.436838	−	0.850138i	−0.0617783	−	0.120228i
$51$	−11.8112	−	3.16481i	−1.65390	−	0.443161i
$52$	0.458205	+	2.77013i	0.0635417	+	0.384148i
$53$	4.18933	+	11.5101i	0.575449	+	1.58103i	0.795766	+	0.605604i	$0.207069\pi$
$53$	4.18933	+	11.5101i	0.575449	+	1.58103i	−0.220317	+	0.975428i	$0.570709\pi$
$54$	−0.255546	−	2.02397i	−0.0347755	−	0.275427i
$55$	2.47752	+	0.216755i	0.334069	+	0.0292272i
$56$	0.179442	+	6.47143i	0.0239789	+	0.864781i
$57$	10.3349	+	14.7597i	1.36888	+	1.95497i
$58$	−1.31294	+	9.57984i	−0.172397	+	1.25789i
$59$	−8.51880	−	3.97238i	−1.10905	−	0.517160i	−0.220247	−	0.975444i	$-0.570686\pi$
$59$	−8.51880	−	3.97238i	−1.10905	−	0.517160i	−0.888806	+	0.458284i	$0.848464\pi$
$60$	3.53765	+	10.0501i	0.456709	+	1.29746i
$61$	6.15485	−	8.79004i	0.788048	−	1.12545i	−0.201250	−	0.979540i	$-0.564500\pi$
$61$	6.15485	−	8.79004i	0.788048	−	1.12545i	0.989298	−	0.145909i	$-0.0466107\pi$
$62$	−2.58242	+	1.05366i	−0.327968	+	0.133815i
$63$	−7.06282	−	4.07772i	−0.889831	−	0.513744i
$64$	5.83398	−	5.47400i	0.729248	−	0.684250i
$65$	2.87497	+	0.506935i	0.356596	+	0.0628776i
$66$	4.22528	+	0.960263i	0.520097	+	0.118200i
$67$	3.99923	−	10.9878i	0.488584	−	1.34237i	−0.413378	−	0.910559i	$-0.635651\pi$
$67$	3.99923	−	10.9878i	0.488584	−	1.34237i	0.901962	−	0.431815i	$-0.142126\pi$
$68$	9.38298	+	1.75730i	1.13785	+	0.213104i
$69$	−2.81996	−	6.04742i	−0.339483	−	0.728024i
$70$	6.40875	+	2.05811i	0.765992	+	0.245991i
$71$	3.21389	+	3.83017i	0.381419	+	0.454557i	0.922262	−	0.386567i	$-0.126339\pi$
$71$	3.21389	+	3.83017i	0.381419	+	0.454557i	−0.540843	+	0.841124i	$0.681895\pi$
$72$	2.02443	+	9.87248i	0.238581	+	1.16348i
$73$			12.8468i			1.50361i	0.659386	+	0.751805i	$0.270816\pi$
$73$			12.8468i			1.50361i	−0.659386	+	0.751805i	$0.729184\pi$
$74$	−8.07347	+	2.96970i	−0.938522	+	0.345221i
$75$	−1.73144			−0.199930
$76$	−8.92702	−	10.8710i	−1.02400	−	1.24698i
$77$	2.09700	−	1.75959i	0.238975	−	0.200524i
$78$	4.84270	+	1.55518i	0.548327	+	0.176090i
$79$	7.01731	−	3.27223i	0.789509	−	0.368154i	0.0143314	−	0.999897i	$-0.495438\pi$
$79$	7.01731	−	3.27223i	0.789509	−	0.368154i	0.775178	+	0.631743i	$0.217660\pi$
$80$	−3.35455	−	7.61139i	−0.375050	−	0.850980i
$81$	6.57194	+	2.39199i	0.730215	+	0.265777i
$82$	0.838702	−	3.69040i	0.0926192	−	0.407537i
$83$	−2.51712	+	14.2753i	−0.276290	+	1.56692i	0.458546	+	0.888671i	$0.348370\pi$
$83$	−2.51712	+	14.2753i	−0.276290	+	1.56692i	−0.734835	+	0.678245i	$0.762741\pi$
$84$	10.5756	+	5.06873i	1.15389	+	0.553043i
$85$	4.96269	−	8.59563i	0.538279	−	0.932327i
$86$	−0.0554156	+	0.0226103i	−0.00597562	+	0.00243813i
$87$	14.3484	+	10.0468i	1.53831	+	1.07713i
$88$	−3.34634	−	0.494843i	−0.356721	−	0.0527504i
$89$	4.38493	−	9.40352i	0.464802	−	0.996771i	−0.524571	−	0.851367i	$-0.675774\pi$
$89$	4.38493	−	9.40352i	0.464802	−	0.996771i	0.989372	−	0.145404i	$-0.0464481\pi$
$90$	10.3812	+	1.42277i	1.09428	+	0.149973i
$91$	2.63220	−	1.84308i	0.275929	−	0.193208i
$92$	2.55660	+	4.53867i	0.266544	+	0.473189i
$93$	−0.440352	+	5.03324i	−0.0456623	+	0.521923i
$94$	−0.453998	−	3.59573i	−0.0468263	−	0.370871i
$95$	−13.7434	+	5.00220i	−1.41005	+	0.513215i
$96$	−3.98980	−	13.9320i	−0.407207	−	1.42193i
$97$	−0.373741	+	1.39482i	−0.0379477	+	0.141623i	−0.982301	−	0.187311i	$-0.940023\pi$
$97$	−0.373741	+	1.39482i	−0.0379477	+	0.141623i	0.944353	+	0.328934i	$0.106689\pi$
$98$	−2.21518	+	1.13826i	−0.223767	+	0.114981i
$99$	2.73915	−	3.26439i	0.275295	−	0.328084i
$100$	1.34774	−	0.103519i	0.134774	−	0.0103519i
$101$	7.81173	+	13.5303i	0.777296	+	1.34632i	0.933495	+	0.358591i	$0.116743\pi$
$101$	7.81173	+	13.5303i	0.777296	+	1.34632i	−0.156198	+	0.987726i	$0.549924\pi$
$102$	10.5998	−	13.6633i	1.04954	−	1.35287i
$103$	2.60024	−	0.696733i	0.256209	−	0.0686511i	−0.128428	−	0.991719i	$-0.540993\pi$
$103$	2.60024	−	0.696733i	0.256209	−	0.0686511i	0.384637	+	0.923068i	$0.374326\pi$
$104$	−3.86250	−	0.921011i	−0.378749	−	0.0903125i
$105$	8.62205	−	8.62205i	0.841426	−	0.841426i
$106$	−17.3017	−	0.847372i	−1.68049	−	0.0823040i
$107$	−2.90176	−	16.4567i	−0.280524	−	1.59093i	−0.720850	−	0.693091i	$-0.756248\pi$
$107$	−2.90176	−	16.4567i	−0.280524	−	1.59093i	0.440326	−	0.897838i	$-0.354863\pi$
$108$	2.77866	+	0.776224i	0.267377	+	0.0746921i
$109$	−7.65934	+	0.670105i	−0.733631	+	0.0641844i	−0.447848	−	0.894110i	$-0.647809\pi$
$109$	−7.65934	+	0.670105i	−0.733631	+	0.0641844i	−0.285783	+	0.958294i	$0.592254\pi$
$110$	−1.64055	+	3.11107i	−0.156420	+	0.296629i
$111$	−1.89933	+	15.4669i	−0.180277	+	1.46806i
$112$	−8.53499	−	3.31317i	−0.806480	−	0.313066i
$113$	−5.09867	+	0.446076i	−0.479643	+	0.0419633i	−0.324414	−	0.945915i	$-0.605167\pi$
$113$	−5.09867	+	0.446076i	−0.479643	+	0.0419633i	−0.155229	+	0.987879i	$0.549612\pi$
$114$	−24.9066	+	5.38322i	−2.33271	+	0.504184i
$115$	5.33387	−	0.940504i	0.497386	−	0.0877025i
$116$	−11.7693	−	6.96253i	−1.09276	−	0.646455i
$117$	3.53706	−	3.53706i	0.327001	−	0.327001i
$118$	9.84800	−	8.92840i	0.906582	−	0.821926i
$119$	−2.82758	−	10.5527i	−0.259204	−	0.967362i
$120$	−15.0411	−	0.896684i	−1.37305	−	0.0818557i
$121$	−4.78482	−	8.28755i	−0.434984	−	0.753414i
$122$	8.08576	+	12.8419i	0.732050	+	1.16265i
$123$	−5.25172	−	4.40672i	−0.473532	−	0.397340i
$124$	0.0418414	−	3.94417i	0.00375747	−	0.354197i
$125$	3.05476	−	11.4005i	0.273226	−	1.01969i
$126$	9.18728	−	6.97254i	0.818468	−	0.621163i
$127$	−4.36876	−	12.0031i	−0.387665	−	1.06510i	−0.968050	−	0.250758i	$-0.919320\pi$
$127$	−4.36876	−	12.0031i	−0.387665	−	1.06510i	0.580385	−	0.814342i	$-0.302902\pi$
$128$	3.93859	+	10.6060i	0.348126	+	0.937448i
$129$	−0.00944941	+	0.108007i	−0.000831974	+	0.00950950i
$130$	−2.23670	+	3.47017i	−0.196172	+	0.304354i
$131$	−3.35183	−	4.78691i	−0.292851	−	0.418235i	0.645585	−	0.763689i	$-0.276614\pi$
$131$	−3.35183	−	4.78691i	−0.292851	−	0.418235i	−0.938436	+	0.345454i	$0.887725\pi$
$132$	−3.56783	+	4.98206i	−0.310539	+	0.433632i
$133$	−6.80345	+	14.5901i	−0.589934	+	1.26512i
$134$	12.1325	+	11.2363i	1.04809	+	0.970670i
$135$	1.72054	−	2.45718i	0.148080	−	0.211480i
$136$	−7.43393	+	11.2691i	−0.637454	+	0.966321i
$137$	−2.82215	+	4.88811i	−0.241113	+	0.417619i	−0.961031	−	0.276439i	$-0.910846\pi$
$137$	−2.82215	+	4.88811i	−0.241113	+	0.417619i	0.719919	+	0.694058i	$0.244179\pi$
$138$	9.42953	−	0.361604i	0.802695	−	0.0307818i
$139$	13.8712	+	2.44586i	1.17654	+	0.207455i	0.727532	−	0.686073i	$-0.240667\pi$
$139$	13.8712	+	2.44586i	1.17654	+	0.207455i	0.449006	+	0.893529i	$0.351778\pi$
$140$	−6.19586	+	7.22684i	−0.523645	+	0.610779i
$141$	−6.16944	−	2.24549i	−0.519561	−	0.189105i
$142$	−6.75488	+	2.09048i	−0.566857	+	0.175429i
$143$	0.709583	+	1.52170i	0.0593383	+	0.127251i
$144$	−13.9801	−	2.77209i	−1.16501	−	0.231008i
$145$	−10.8915	+	9.13906i	−0.904490	+	0.758958i
$146$	−16.7481	−	7.04159i	−1.38608	−	0.582766i
$147$			4.51156i			0.372107i
$148$	0.553697	−	12.1529i	0.0455136	−	0.998964i
$149$		−	12.6809i		−	1.03886i	−0.854512	−	0.519431i	$-0.826144\pi$
$149$		−	12.6809i		−	1.03886i	0.854512	−	0.519431i	$-0.173856\pi$
$150$	0.949035	−	2.25724i	0.0774884	−	0.184302i
$151$	−6.91964	+	5.80627i	−0.563112	+	0.472507i	−0.879352	−	0.476172i	$-0.842024\pi$
$151$	−6.91964	+	5.80627i	−0.563112	+	0.472507i	0.316240	+	0.948679i	$0.397580\pi$
$152$	19.0652	−	5.67936i	1.54640	−	0.460657i
$153$	−7.18738	−	15.4134i	−0.581065	−	1.24610i
$154$	1.14453	+	3.69827i	0.0922289	+	0.298015i
$155$	−3.85377	−	1.40266i	−0.309542	−	0.112664i
$156$	−4.68182	+	5.46087i	−0.374846	+	0.437220i
$157$	13.5339	+	2.38640i	1.08012	+	0.190455i	0.685270	−	0.728289i	$-0.259684\pi$
$157$	13.5339	+	2.38640i	1.08012	+	0.190455i	0.394854	+	0.918744i	$0.370795\pi$
$158$	0.419598	+	10.9419i	0.0333814	+	0.870487i
$159$	−15.6898	+	27.1755i	−1.24428	+	2.15516i
$160$	11.7615	−	0.201296i	0.929826	−	0.0159138i
$161$	3.41943	−	4.88345i	0.269489	−	0.384870i
$162$	−6.72057	+	7.25657i	−0.528018	+	0.570130i
$163$	5.18811	−	11.1259i	0.406364	−	0.871450i	−0.591511	−	0.806297i	$-0.701468\pi$
$163$	5.18811	−	11.1259i	0.406364	−	0.871450i	0.997875	−	0.0651537i	$-0.0207538\pi$
$164$	4.35137	+	3.11617i	0.339785	+	0.243332i
$165$	3.65442	+	5.21905i	0.284496	+	0.406302i
$166$	−17.2306	−	11.1060i	−1.33736	−	0.861997i
$167$	1.23131	−	14.0740i	0.0952819	−	1.08908i	−0.786554	−	0.617521i	$-0.788137\pi$
$167$	1.23131	−	14.0740i	0.0952819	−	1.08908i	0.881836	−	0.471556i	$-0.156308\pi$
$168$	−12.4046	+	11.0088i	−0.957038	+	0.849349i
$169$	−3.77218	−	10.3640i	−0.290167	−	0.797228i
$170$	8.48576	+	11.1812i	0.650828	+	0.857555i
$171$	−6.48606	+	24.2063i	−0.496001	+	1.85110i
$172$	0.000897865	−	0.0846370i	6.84616e−5	−	0.00645351i
$173$	−14.7825	−	12.4040i	−1.12389	−	0.943059i	−0.125100	−	0.992144i	$-0.539925\pi$
$173$	−14.7825	−	12.4040i	−1.12389	−	0.943059i	−0.998795	+	0.0490848i	$0.984370\pi$
$174$	−20.9624	+	13.1987i	−1.58915	+	1.00059i
$175$	−0.773474	−	1.33970i	−0.0584692	−	0.101272i
$176$	2.47931	−	4.09131i	0.186885	−	0.308394i
$177$	−6.23236	−	23.2595i	−0.468453	−	1.74829i
$178$	9.85566	+	10.8708i	0.738713	+	0.814798i
$179$	8.31278	−	8.31278i	0.621326	−	0.621326i	−0.324544	−	0.945871i	$-0.605211\pi$
$179$	8.31278	−	8.31278i	0.621326	−	0.621326i	0.945871	+	0.324544i	$0.105211\pi$
$180$	−7.54499	+	12.7539i	−0.562370	+	0.950621i
$181$	−18.7871	+	3.31268i	−1.39644	+	0.246229i	−0.820678	−	0.571390i	$-0.806404\pi$
$181$	−18.7871	+	3.31268i	−1.39644	+	0.246229i	−0.575758	+	0.817620i	$0.695293\pi$
$182$	0.960025	+	4.44176i	0.0711618	+	0.329245i
$183$	27.3857	−	2.39594i	2.02441	−	0.177113i
$184$	−7.31826	+	0.845239i	−0.539510	+	0.0623118i
$185$	−11.7277	−	4.73851i	−0.862240	−	0.348382i
$186$	−6.32034	−	3.33289i	−0.463430	−	0.244379i
$187$	5.68675	−	0.497526i	0.415856	−	0.0363827i
$188$	4.93650	+	1.37902i	0.360032	+	0.100575i
$189$	−0.573343	−	3.25159i	−0.0417046	−	0.236518i
$190$	1.01179	−	20.6588i	0.0734030	−	1.49874i
$191$	9.25986	−	9.25986i	0.670020	−	0.670020i	−0.287700	−	0.957720i	$-0.592891\pi$
$191$	9.25986	−	9.25986i	0.670020	−	0.670020i	0.957720	+	0.287700i	$0.0928907\pi$
$192$	20.3496	+	2.43497i	1.46861	+	0.175729i
$193$	−9.60842	+	2.57457i	−0.691629	+	0.185322i	−0.587478	−	0.809240i	$-0.699879\pi$
$193$	−9.60842	+	2.57457i	−0.691629	+	0.185322i	−0.104151	+	0.994561i	$0.533213\pi$
$194$	−1.61354	−	1.25176i	−0.115845	−	0.0898715i
$195$	3.73943	+	6.47689i	0.267786	+	0.463820i
$196$	−0.269735	−	3.51177i	−0.0192668	−	0.250841i
$197$	−5.03387	+	5.99913i	−0.358648	+	0.427421i	−0.914955	−	0.403557i	$-0.867774\pi$
$197$	−5.03387	+	5.99913i	−0.358648	+	0.427421i	0.556306	+	0.830977i	$0.312218\pi$
$198$	2.75432	+	5.36023i	0.195741	+	0.380935i
$199$	6.00137	−	22.3974i	0.425426	−	1.58771i	−0.337564	−	0.941302i	$-0.609603\pi$
$199$	6.00137	−	22.3974i	0.425426	−	1.58771i	0.762991	−	0.646410i	$-0.223730\pi$
$200$	−0.603768	+	1.81376i	−0.0426928	+	0.128252i
$201$	28.1491	−	10.2454i	1.98549	−	0.722658i
$202$	−21.9209	+	2.76774i	−1.54235	+	0.194737i
$203$	−1.36396	+	15.5901i	−0.0957313	+	1.09421i
$204$	12.0025	+	21.3078i	0.840344	+	1.49185i
$205$	4.55836	−	3.19180i	0.318370	−	0.222925i
$206$	−0.516928	+	3.77176i	−0.0360161	+	0.262791i
$207$	3.92206	−	8.41088i	0.272602	−	0.584597i
$208$	3.31781	−	4.53062i	0.230048	−	0.314142i
$209$	−6.89043	−	4.82473i	−0.476621	−	0.333734i
$210$	6.51444	+	15.9663i	0.449539	+	1.10178i
$211$	2.40895	−	4.17243i	0.165839	−	0.287242i	−0.771114	−	0.636697i	$-0.780300\pi$
$211$	2.40895	−	4.17243i	0.165839	−	0.287242i	0.936953	+	0.349455i	$0.113633\pi$
$212$	10.5881	−	22.0913i	0.727191	−	1.51723i
$213$	−2.22427	+	12.6145i	−0.152405	+	0.864329i
$214$	23.0447	+	5.23727i	1.57530	+	0.358012i
$215$	−0.0826972	−	0.0300993i	−0.00563990	−	0.00205276i
$216$	−2.53498	+	3.19701i	−0.172483	+	0.217529i
$217$	−4.09117	+	1.90774i	−0.277727	+	0.129506i
$218$	3.32462	−	10.3526i	0.225172	−	0.701165i
$219$	−25.2118	+	21.1552i	−1.70366	+	1.42954i
$220$	−3.15660	−	3.84398i	−0.212818	−	0.259161i
$221$	6.70084			0.450747
$222$	−19.1228	−	10.9538i	−1.28344	−	0.735173i
$223$		−	16.7943i		−	1.12463i	−0.826922	−	0.562316i	$-0.809910\pi$
$223$		−	16.7943i		−	1.12463i	0.826922	−	0.562316i	$-0.190090\pi$
$224$	8.99748	−	9.31083i	0.601170	−	0.622106i
$225$	−1.54791	−	1.84473i	−0.103194	−	0.122982i
$226$	2.21314	−	6.89151i	0.147216	−	0.458416i
$227$	8.99681	+	19.2937i	0.597139	+	1.28057i	0.939997	+	0.341182i	$0.110827\pi$
$227$	8.99681	+	19.2937i	0.597139	+	1.28057i	−0.342858	+	0.939387i	$0.611395\pi$
$228$	6.63379	−	35.4207i	0.439333	−	2.34579i
$229$	−2.92637	+	8.04013i	−0.193380	+	0.531306i	−0.998050	−	0.0624151i	$-0.980120\pi$
$229$	−2.92637	+	8.04013i	−0.193380	+	0.531306i	0.804671	+	0.593722i	$0.202342\pi$
$230$	−1.69748	+	7.46913i	−0.111928	+	0.492500i
$231$	6.90637	+	1.21778i	0.454406	+	0.0801240i
$232$	15.5279	−	11.5271i	1.01945	−	0.756791i
$233$	1.77105	+	1.02252i	0.116025	+	0.0669872i	0.556890	−	0.830587i	$-0.311995\pi$
$233$	1.77105	+	1.02252i	0.116025	+	0.0669872i	−0.440864	+	0.897574i	$0.645328\pi$
$234$	2.67245	+	6.54990i	0.174703	+	0.428180i
$235$	3.05667	−	4.36537i	0.199395	−	0.284765i
$236$	6.24185	+	17.7324i	0.406310	+	1.15428i
$237$	17.9773	+	8.38295i	1.16775	+	0.544531i
$238$	15.3071	+	2.09787i	0.992212	+	0.135985i
$239$	8.93161	+	12.7557i	0.577738	+	0.825095i	0.996551	−	0.0829773i	$-0.0264429\pi$
$239$	8.93161	+	12.7557i	0.577738	+	0.825095i	−0.418814	+	0.908072i	$0.637554\pi$
$240$	9.41327	−	19.1172i	0.607624	−	1.23401i
$241$	18.8886	+	1.65254i	1.21672	+	0.106449i	0.677377	−	0.735636i	$-0.263117\pi$
$241$	18.8886	+	1.65254i	1.21672	+	0.106449i	0.539344	+	0.842086i	$0.318672\pi$
$242$	13.4269	−	1.69529i	0.863115	−	0.108977i
$243$	7.60803	+	20.9029i	0.488056	+	1.34092i
$244$	−21.1736	+	3.50231i	−1.35550	+	0.224212i
$245$	−3.53726	−	0.947806i	−0.225987	−	0.0605531i
$246$	8.62349	−	4.43113i	0.549814	−	0.282519i
$247$	−7.56389	−	6.34686i	−0.481279	−	0.403841i
$248$	5.11897	+	2.21642i	0.325055	+	0.140743i
$249$	−32.1601	+	18.5677i	−2.03807	+	1.17668i
$250$	13.1882	+	10.2313i	0.834096	+	0.647082i
$251$	−3.43021	−	12.8017i	−0.216513	−	0.808037i	−0.985629	−	0.168927i	$-0.945970\pi$
$251$	−3.43021	−	12.8017i	−0.216513	−	0.808037i	0.769116	−	0.639110i	$-0.220697\pi$
$252$	4.05420	+	15.7990i	0.255391	+	0.995243i
$253$	2.20266	+	2.20266i	0.138480	+	0.138480i
$254$	18.0427	+	0.883665i	1.13210	+	0.0554461i
$255$	25.0410	−	4.41541i	1.56813	−	0.276504i
$256$	−15.9856	−	0.678710i	−0.999100	−	0.0424194i
$257$	1.33818	+	15.2954i	0.0834732	+	0.954103i	0.916280	+	0.400539i	$0.131177\pi$
$257$	1.33818	+	15.2954i	0.0834732	+	0.954103i	−0.832807	+	0.553564i	$0.813267\pi$
$258$	−0.135627	−	0.0715197i	−0.00844376	−	0.00445262i
$259$	−12.8160	+	5.43983i	−0.796346	+	0.338015i
$260$	−3.29799	−	4.81799i	−0.204532	−	0.298799i
$261$	2.12327	+	24.2691i	0.131427	+	1.50222i
$262$	8.07778	−	1.74590i	0.499047	−	0.107862i
$263$	−1.64497	−	9.32910i	−0.101433	−	0.575257i	−0.992585	−	0.121552i	$-0.961213\pi$
$263$	−1.64497	−	9.32910i	−0.101433	−	0.575257i	0.891152	−	0.453705i	$-0.149898\pi$
$264$	−4.53938	−	7.38204i	−0.279380	−	0.454333i
$265$	−18.0106	−	18.0106i	−1.10638	−	1.10638i
$266$	−15.2916	−	16.8666i	−0.937587	−	1.03416i
$267$	25.6751	−	6.87962i	1.57129	−	0.421026i
$268$	−21.2985	+	9.65794i	−1.30101	+	0.589953i
$269$	−11.7205	+	6.76686i	−0.714614	+	0.412583i	−0.812767	−	0.582589i	$-0.802040\pi$
$269$	−11.7205	+	6.76686i	−0.714614	+	0.412583i	0.0981530	+	0.995171i	$0.468707\pi$
$270$	2.26030	+	3.58984i	0.137558	+	0.218471i
$271$	−19.4931	+	23.2310i	−1.18412	+	1.41118i	−0.293793	+	0.955869i	$0.594918\pi$
$271$	−19.4931	+	23.2310i	−1.18412	+	1.41118i	−0.890331	+	0.455315i	$0.849527\pi$
$272$	−10.6166	−	15.8682i	−0.643727	−	0.962154i
$273$	7.95154	+	2.13061i	0.481249	+	0.128950i
$274$	−4.82563	−	6.35843i	−0.291527	−	0.384127i
$275$	0.759561	−	0.276457i	0.0458032	−	0.0166710i
$276$	−4.69709	+	12.4912i	−0.282732	+	0.751884i
$277$	−17.1194	−	1.49775i	−1.02860	−	0.0899913i	−0.439660	−	0.898164i	$-0.644901\pi$
$277$	−17.1194	−	1.49775i	−1.02860	−	0.0899913i	−0.588945	+	0.808173i	$0.700457\pi$
$278$	−10.7917	+	16.7429i	−0.647241	+	1.00417i
$279$	−5.75625	+	4.03057i	−0.344618	+	0.241304i
$280$	−6.02538	−	12.0385i	−0.360085	−	0.719440i
$281$	16.7013	+	7.78794i	0.996316	+	0.464590i	0.851209	−	0.524826i	$-0.175870\pi$
$281$	16.7013	+	7.78794i	0.996316	+	0.464590i	0.145106	+	0.989416i	$0.453648\pi$
$282$	6.30898	−	6.81215i	0.375694	−	0.405658i
$283$	16.2889	+	11.4056i	0.968274	+	0.677993i	0.946815	−	0.321777i	$-0.104280\pi$
$283$	16.2889	+	11.4056i	0.968274	+	0.677993i	0.0214584	+	0.999770i	$0.493169\pi$
$284$	0.977169	−	9.95200i	0.0579843	−	0.590542i
$285$	−32.4484	−	18.7341i	−1.92208	−	1.10971i
$286$	−2.37274	+	0.0909899i	−0.140303	+	0.00538035i
$287$	1.06362	−	6.03208i	0.0627835	−	0.356063i
$288$	11.2767	−	16.7061i	0.664484	−	0.984416i
$289$	1.97760	−	5.43341i	0.116329	−	0.319612i
$290$	−5.94452	−	19.2083i	−0.349074	−	1.12795i
$291$	−3.35278	+	1.56342i	−0.196543	+	0.0916496i
$292$	18.3599	−	17.9744i	1.07443	−	1.05187i
$293$	−3.64147	−	4.33974i	−0.212737	−	0.253530i	0.649115	−	0.760691i	$-0.275140\pi$
$293$	−3.64147	−	4.33974i	−0.212737	−	0.253530i	−0.861852	+	0.507160i	$0.830695\pi$
$294$	−5.88161	−	2.47287i	−0.343022	−	0.144221i
$295$	19.5458			1.13800
$296$	15.5400	+	7.38308i	0.903241	+	0.429133i
$297$	1.72522			0.100108
$298$	16.5318	+	6.95065i	0.957661	+	0.402640i
$299$	2.35039	+	2.80109i	0.135927	+	0.161991i
$300$	2.42252	+	2.47446i	0.139864	+	0.142863i
$301$	−0.0877915	+	0.0409378i	−0.00506022	+	0.00235962i
$302$	−3.77670	−	12.2035i	−0.217324	−	0.702231i
$303$	−13.6894	+	37.6112i	−0.786433	+	2.16071i
$304$	−3.04598	+	27.9678i	−0.174699	+	1.60406i
$305$	−3.87478	+	21.9749i	−0.221869	+	1.25828i
$306$	24.0336	−	0.921639i	1.37391	−	0.0526866i
$307$	19.6117	+	11.3228i	1.11930	+	0.646227i	0.941222	−	0.337790i	$-0.109679\pi$
$307$	19.6117	+	11.3228i	1.11930	+	0.646227i	0.178076	+	0.984017i	$0.443013\pi$
$308$	−5.44868	−	0.534996i	−0.310467	−	0.0304842i
$309$	5.64922	+	3.95562i	0.321373	+	0.225028i
$310$	3.94093	−	4.25524i	0.223830	−	0.241681i
$311$	−5.87858	−	2.74123i	−0.333344	−	0.155441i	0.248739	−	0.968571i	$-0.419984\pi$
$311$	−5.87858	−	2.74123i	−0.333344	−	0.155441i	−0.582082	+	0.813130i	$0.697762\pi$
$312$	−4.55301	−	9.09678i	−0.257763	−	0.515004i
$313$	−17.1669	+	12.0204i	−0.970331	+	0.679433i	−0.947316	−	0.320302i	$-0.896216\pi$
$313$	−17.1669	+	12.0204i	−0.970331	+	0.679433i	−0.0230158	+	0.999735i	$0.507327\pi$
$314$	−10.5293	+	16.3358i	−0.594201	+	0.921882i
$315$	16.8944	+	1.47806i	0.951889	+	0.0832795i
$316$	−14.4946	−	5.45041i	−0.815385	−	0.306610i
$317$	15.3351	−	5.58151i	0.861304	−	0.313489i	0.126664	−	0.991946i	$-0.459573\pi$
$317$	15.3351	−	5.58151i	0.861304	−	0.313489i	0.734640	+	0.678457i	$0.237351\pi$
$318$	−26.8281	−	35.3497i	−1.50445	−	1.98232i
$319$	−7.89861	−	2.11643i	−0.442237	−	0.118497i
$320$	−6.18425	+	15.4435i	−0.345710	+	0.863315i
$321$	27.5177	−	32.7943i	1.53589	−	1.83040i
$322$	4.49218	+	7.13453i	0.250339	+	0.397592i
$323$	−29.0728	+	16.7852i	−1.61765	+	0.933953i
$324$	−5.77653	−	12.7389i	−0.320918	−	0.707717i
$325$	0.916494	−	0.245574i	0.0508380	−	0.0136220i
$326$	11.6609	+	12.8619i	0.645837	+	0.712357i
$327$	−13.9279	−	13.9279i	−0.770215	−	0.770215i
$328$	−6.44754	+	3.96474i	−0.356006	+	0.218916i
$329$	−1.01859	−	5.77670i	−0.0561566	−	0.318480i
$330$	−8.80699	+	1.90351i	−0.484809	+	0.104785i
$331$	1.00423	+	11.4785i	0.0551977	+	0.630913i	0.972528	+	0.232786i	$0.0747841\pi$
$331$	1.00423	+	11.4785i	0.0551977	+	0.630913i	−0.917330	+	0.398127i	$0.869660\pi$
$332$	23.9231	−	16.3757i	1.31295	−	0.898734i
$333$	−18.1770	+	11.8039i	−0.996092	+	0.646849i
$334$	17.6730	+	9.31944i	0.967023	+	0.509937i
$335$	2.11920	+	24.2225i	0.115784	+	1.32342i
$336$	−7.55270	−	22.2057i	−0.412034	−	1.21142i
$337$	9.49982	−	1.67507i	0.517488	−	0.0912471i	0.0911965	−	0.995833i	$-0.470931\pi$
$337$	9.49982	−	1.67507i	0.517488	−	0.0912471i	0.426292	+	0.904586i	$0.359820\pi$
$338$	15.5788	+	0.762994i	0.847377	+	0.0415014i
$339$	−9.27154	−	9.27154i	−0.503561	−	0.503561i
$340$	−19.2278	+	4.93407i	−1.04277	+	0.267587i
$341$	−0.610476	−	2.27833i	−0.0330591	−	0.123378i
$342$	−28.0020	−	21.7236i	−1.51417	−	1.17468i
$343$	−17.3664	+	10.0265i	−0.937696	+	0.541379i
$344$	0.109847	+	0.0475616i	0.00592255	+	0.00256435i
$345$	10.6291	+	8.91891i	0.572254	+	0.480178i
$346$	24.2734	−	12.4727i	1.30494	−	0.670538i
$347$	−1.33538	−	0.357813i	−0.0716868	−	0.0192084i	0.222797	−	0.974865i	$-0.428481\pi$
$347$	−1.33538	−	0.357813i	−0.0716868	−	0.0192084i	−0.294484	+	0.955656i	$0.595148\pi$
$348$	−5.71697	−	34.5626i	−0.306462	−	1.85275i
$349$	6.41255	+	17.6183i	0.343256	+	0.943088i	0.984443	+	0.175703i	$0.0562199\pi$
$349$	6.41255	+	17.6183i	0.343256	+	0.943088i	−0.641187	+	0.767384i	$0.721558\pi$
$350$	2.17048	−	0.274046i	0.116017	−	0.0146484i
$351$	2.01743	+	0.176502i	0.107682	+	0.00942100i
$352$	3.97478	+	5.47473i	0.211856	+	0.291804i
$353$	−1.46599	−	2.09365i	−0.0780266	−	0.111434i	0.778242	−	0.627965i	$-0.216112\pi$
$353$	−1.46599	−	2.09365i	−0.0780266	−	0.111434i	−0.856268	+	0.516531i	$0.827223\pi$
$354$	33.7389	+	4.62399i	1.79320	+	0.245762i
$355$	−9.42301	−	4.39402i	−0.500121	−	0.233210i
$356$	−19.5740	+	6.89010i	−1.03742	+	0.365175i
$357$	16.0533	−	22.9265i	0.849630	−	1.21340i
$358$	6.28077	+	15.3935i	0.331949	+	0.813574i
$359$	22.9276	+	13.2373i	1.21007	+	0.698636i	0.962775	−	0.270304i	$-0.0871241\pi$
$359$	22.9276	+	13.2373i	1.21007	+	0.698636i	0.247298	+	0.968940i	$0.420457\pi$
$360$	−12.4914	−	16.8269i	−0.658355	−	0.886853i
$361$	30.0045	+	5.29060i	1.57918	+	0.278452i
$362$	5.97892	−	26.3080i	0.314245	−	1.38272i
$363$	8.38496	−	23.0375i	0.440096	−	1.20915i
$364$	−6.31681	−	1.18305i	−0.331091	−	0.0620086i
$365$	−11.2900	−	24.2115i	−0.590947	−	1.26729i
$366$	−11.8871	+	37.0153i	−0.621348	+	1.93482i
$367$	−1.26487	−	1.50742i	−0.0660258	−	0.0786864i	0.732021	−	0.681283i	$-0.238577\pi$
$367$	−1.26487	−	1.50742i	−0.0660258	−	0.0786864i	−0.798046	+	0.602596i	$0.794133\pi$
$368$	2.90936	−	10.0039i	0.151661	−	0.521490i
$369$		−	9.53497i		−	0.496371i
$370$	12.6057	−	12.6919i	0.655337	−	0.659819i
$371$	−28.0359			−1.45555
$372$	7.80929	−	6.41285i	0.404893	−	0.332491i
$373$	14.8795	−	12.4854i	0.770433	−	0.646470i	−0.170387	−	0.985377i	$-0.554502\pi$
$373$	14.8795	−	12.4854i	0.770433	−	0.646470i	0.940820	+	0.338907i	$0.110057\pi$
$374$	−2.46840	+	7.68637i	−0.127638	+	0.397453i
$375$	27.4038	−	12.7786i	1.41513	−	0.659884i
$376$	−4.50358	+	5.67973i	−0.232255	+	0.292910i
$377$	−9.01990	−	3.28298i	−0.464549	−	0.169082i
$378$	4.55327	+	1.03480i	0.234195	+	0.0532246i
$379$	0.603789	−	3.42426i	0.0310146	−	0.175892i	−0.965366	−	0.260901i	$-0.915981\pi$
$379$	0.603789	−	3.42426i	0.0310146	−	0.175892i	0.996380	+	0.0850082i	$0.0270917\pi$
$380$	26.3777	+	12.6425i	1.35315	+	0.648546i
$381$	16.3618	−	28.3394i	0.838239	−	1.45187i
$382$	6.99634	+	17.1473i	0.357964	+	0.877335i
$383$	−23.4800	−	16.4409i	−1.19977	−	0.840089i	−0.209306	−	0.977850i	$-0.567120\pi$
$383$	−23.4800	−	16.4409i	−1.19977	−	0.840089i	−0.990465	+	0.137762i	$0.956009\pi$
$384$	−14.3284	+	25.1946i	−0.731194	+	1.28571i
$385$	−2.40571	+	5.15906i	−0.122606	+	0.262930i
$386$	1.91016	−	13.9374i	0.0972243	−	0.709396i
$387$	−0.123522	+	0.0864911i	−0.00627898	+	0.00439659i
$388$	2.51630	−	1.41741i	0.127746	−	0.0719583i
$389$	2.56372	−	29.3034i	0.129986	−	1.48574i	−0.598743	−	0.800941i	$-0.704333\pi$
$389$	2.56372	−	29.3034i	0.129986	−	1.48574i	0.728729	−	0.684802i	$-0.240111\pi$
$390$	−10.4934	+	1.32490i	−0.531354	+	0.0670889i
$391$	11.6822	−	4.25196i	0.590793	−	0.215031i
$392$	4.72605	+	1.57322i	0.238701	+	0.0794595i
$393$	3.87473	−	14.4607i	0.195454	−	0.729445i
$394$	−5.06176	−	9.85076i	−0.255008	−	0.496274i
$395$	−10.3493	+	12.3339i	−0.520732	+	0.620584i
$396$	−8.49769	+	0.652698i	−0.427025	+	0.0327993i
$397$	12.8756	+	22.3012i	0.646209	+	1.11927i	0.984021	+	0.178053i	$0.0569798\pi$
$397$	12.8756	+	22.3012i	0.646209	+	1.11927i	−0.337812	+	0.941214i	$0.609687\pi$
$398$	25.9095	+	20.1003i	1.29873	+	1.00754i
$399$	−39.8363	+	10.6741i	−1.99431	+	0.534373i
$400$	−2.03361	−	1.78127i	−0.101681	−	0.0890635i
$401$	−7.53063	+	7.53063i	−0.376062	+	0.376062i	−0.869679	−	0.493617i	$-0.835674\pi$
$401$	−7.53063	+	7.53063i	−0.376062	+	0.376062i	0.493617	+	0.869679i	$0.335674\pi$
$402$	−2.07234	+	42.3130i	−0.103359	+	2.11038i
$403$	−0.480786	−	2.72667i	−0.0239497	−	0.135825i
$404$	8.40701	−	30.0947i	0.418265	−	1.49727i
$405$	−14.4878	+	1.26752i	−0.719904	+	0.0629834i
$406$	−19.5769	−	10.3234i	−0.971583	−	0.512342i
$407$	−1.63638	−	7.08841i	−0.0811123	−	0.351360i
$408$	−34.3572	+	3.96816i	−1.70094	+	0.196453i
$409$	−20.0461	+	1.75380i	−0.991214	+	0.0867200i	−0.571212	−	0.820803i	$-0.693526\pi$
$409$	−20.0461	+	1.75380i	−0.991214	+	0.0867200i	−0.420003	+	0.907523i	$0.637971\pi$
$410$	1.66254	+	7.69210i	0.0821072	+	0.379886i
$411$	−14.2402	+	2.51093i	−0.702416	+	0.123855i
$412$	−4.63381	−	2.74128i	−0.228291	−	0.135053i
$413$	15.2128	−	15.2128i	0.748573	−	0.748573i
$414$	8.81530	+	9.72325i	0.433248	+	0.477872i
$415$	−7.80153	−	29.1157i	−0.382962	−	1.42923i
$416$	4.08790	+	6.80865i	0.200426	+	0.333822i
$417$	18.0420	+	31.2497i	0.883523	+	1.53031i
$418$	10.0667	−	6.33835i	0.492376	−	0.310019i
$419$	−2.96558	−	2.48842i	−0.144878	−	0.121567i	0.567468	−	0.823395i	$-0.307923\pi$
$419$	−2.96558	−	2.48842i	−0.144878	−	0.121567i	−0.712346	+	0.701828i	$0.752367\pi$
$420$	−24.3855	−	0.258692i	−1.18989	−	0.0126229i
$421$	−0.871141	+	3.25114i	−0.0424568	+	0.158451i	−0.983900	−	0.178721i	$-0.942804\pi$
$421$	−0.871141	+	3.25114i	−0.0424568	+	0.158451i	0.941443	+	0.337172i	$0.109471\pi$
$422$	4.11910	+	5.42748i	0.200515	+	0.264206i
$423$	−3.12308	−	8.58060i	−0.151849	−	0.417203i
$424$	22.9963	+	25.9120i	1.11680	+	1.25840i
$425$	0.281156	−	3.21363i	0.0136381	−	0.155884i
$426$	−15.2260	−	9.81395i	−0.737702	−	0.475487i
$427$	14.0877	+	20.1193i	0.681750	+	0.973641i
$428$	−19.4589	+	27.1721i	−0.940582	+	1.31341i
$429$	−1.81784	+	3.89838i	−0.0877664	+	0.188216i
$430$	0.0845675	−	0.0913122i	0.00407821	−	0.00440346i
$431$	−20.1190	+	28.7329i	−0.969097	+	1.38401i	−0.0462141	+	0.998932i	$0.514716\pi$
$431$	−20.1190	+	28.7329i	−0.969097	+	1.38401i	−0.922882	+	0.385082i	$0.874173\pi$
$432$	−2.77839	−	5.05712i	−0.133675	−	0.243311i
$433$	−1.96395	+	3.40166i	−0.0943813	+	0.163473i	−0.909350	−	0.416031i	$-0.863421\pi$
$433$	−1.96395	+	3.40166i	−0.0943813	+	0.163473i	0.814969	+	0.579505i	$0.196754\pi$
$434$	−0.244630	−	6.37922i	−0.0117426	−	0.306212i
$435$	−35.8707	−	6.32496i	−1.71987	−	0.303259i
$436$	11.6741	+	10.0087i	0.559088	+	0.479328i
$437$	−17.2142	−	6.26544i	−0.823465	−	0.299717i
$438$	−13.7605	−	44.4636i	−0.657500	−	2.12455i
$439$	10.6803	+	22.9040i	0.509744	+	1.09315i	0.977817	+	0.209460i	$0.0671707\pi$
$439$	10.6803	+	22.9040i	0.509744	+	1.09315i	−0.468073	+	0.883690i	$0.655051\pi$
$440$	6.74149	−	2.00823i	0.321388	−	0.0957385i
$441$	−4.80676	+	4.03335i	−0.228893	+	0.192064i
$442$	−3.67285	+	8.73571i	−0.174700	+	0.415515i
$443$		−	34.6619i		−	1.64684i	−0.567434	−	0.823419i	$-0.692064\pi$
$443$		−	34.6619i		−	1.64684i	0.567434	−	0.823419i	$-0.307936\pi$
$444$	24.7618	−	18.9259i	1.17514	−	0.898183i
$445$			21.5757i			1.02279i
$446$	21.8944	+	9.20529i	1.03673	+	0.435883i
$447$	24.8862	−	20.8820i	1.17708	−	0.987685i
$448$	7.20660	+	16.8332i	0.340480	+	0.795295i
$449$	−2.78688	−	5.97648i	−0.131521	−	0.282048i	0.829508	−	0.558495i	$-0.188621\pi$
$449$	−2.78688	−	5.97648i	−0.131521	−	0.282048i	−0.961029	+	0.276447i	$0.910843\pi$
$450$	3.25337	−	1.00684i	0.153365	−	0.0474631i
$451$	3.00748	+	1.09463i	0.141617	+	0.0515442i
$452$	7.77122	+	6.66258i	0.365528	+	0.313381i
$453$	−22.7895	−	4.01840i	−1.07074	−	0.188801i
$454$	−30.0840	+	1.15366i	−1.41191	+	0.0541441i
$455$	−3.34098	+	5.78675i	−0.156628	+	0.271287i
$456$	42.5409	+	28.0630i	1.99216	+	1.31417i
$457$	−15.0992	+	21.5639i	−0.706312	+	1.00872i	0.292315	+	0.956322i	$0.405574\pi$
$457$	−15.0992	+	21.5639i	−0.706312	+	1.00872i	−0.998626	+	0.0523953i	$0.983314\pi$
$458$	−8.87771	−	8.22197i	−0.414828	−	0.384187i
$459$	2.90983	−	6.24015i	0.135819	−	0.291265i
$460$	−8.80689	−	6.30693i	−0.410623	−	0.294062i
$461$	11.0463	+	15.7758i	0.514478	+	0.734751i	0.989390	−	0.145283i	$-0.0464091\pi$
$461$	11.0463	+	15.7758i	0.514478	+	0.734751i	−0.474912	+	0.880033i	$0.657520\pi$
$462$	−5.37310	+	8.33617i	−0.249979	+	0.387834i
$463$	0.0746213	−	0.852926i	0.00346795	−	0.0396388i	−0.994264	−	0.106958i	$-0.965889\pi$
$463$	0.0746213	−	0.852926i	0.00346795	−	0.0396388i	0.997731	+	0.0673191i	$0.0214445\pi$
$464$	6.51646	+	26.5615i	0.302519	+	1.23309i
$465$	−3.59340	−	9.87278i	−0.166640	−	0.457839i
$466$	−2.30377	+	1.74841i	−0.106720	+	0.0809936i
$467$	1.52387	−	5.68716i	0.0705163	−	0.263170i	−0.921663	−	0.387991i	$-0.873169\pi$
$467$	1.52387	−	5.68716i	0.0705163	−	0.263170i	0.992179	+	0.124821i	$0.0398357\pi$
$468$	−10.0038	−	0.106124i	−0.462424	−	0.00490559i
$469$	20.5022	+	17.2034i	0.946705	+	0.794380i
$470$	4.01561	+	6.37764i	0.185226	+	0.294178i
$471$	17.6034	+	30.4899i	0.811121	+	1.40490i
$472$	−26.5385	−	1.58212i	−1.22154	−	0.0728228i
$473$	−0.0131001	−	0.0488901i	−0.000602342	−	0.00224797i
$474$	−20.7823	+	18.8417i	−0.954564	+	0.865428i
$475$	−3.36123	+	3.36123i	−0.154224	+	0.154224i
$476$	−11.1250	+	18.8056i	−0.509916	+	0.861953i
$477$	−42.9803	+	7.57859i	−1.96793	+	0.347000i
$478$	−21.5248	+	4.65229i	−0.984521	+	0.212791i
$479$	13.2259	−	1.15711i	0.604305	−	0.0528698i	0.219102	−	0.975702i	$-0.429687\pi$
$479$	13.2259	−	1.15711i	0.604305	−	0.0528698i	0.385203	+	0.922832i	$0.374132\pi$
$480$	19.7630	+	22.7503i	0.902051	+	1.03840i
$481$	−1.18835	−	8.45642i	−0.0541839	−	0.385580i
$482$	−12.5076	+	23.7188i	−0.569703	+	1.08036i
$483$	15.2146	−	1.33110i	0.692288	−	0.0605674i
$484$	−5.14944	+	18.4335i	−0.234065	+	0.837888i
$485$	−0.521429	−	2.95717i	−0.0236769	−	0.134278i
$486$	−31.4207	−	1.53887i	−1.42527	−	0.0698046i
$487$	−13.6652	+	13.6652i	−0.619228	+	0.619228i	−0.945333	−	0.326106i	$-0.894263\pi$
$487$	−13.6652	+	13.6652i	−0.619228	+	0.619228i	0.326106	+	0.945333i	$0.394263\pi$
$488$	7.03978	−	29.5232i	0.318676	−	1.33645i
$489$	30.3779	−	8.13974i	1.37374	−	0.368092i
$490$	3.17447	−	4.09192i	0.143408	−	0.184854i
$491$	−2.15614	−	3.73455i	−0.0973053	−	0.168538i	0.813263	−	0.581896i	$-0.197689\pi$
$491$	−2.15614	−	3.73455i	−0.0973053	−	0.168538i	−0.910568	+	0.413358i	$0.864356\pi$
$492$	1.05006	+	13.6710i	0.0473402	+	0.616337i
$493$	−20.9772	+	24.9997i	−0.944768	+	1.12593i
$494$	12.4201	−	6.38202i	0.558809	−	0.287141i
$495$	−2.29348	+	8.55937i	−0.103084	+	0.384715i
$496$	−5.69529	+	5.45861i	−0.255726	+	0.245099i
$497$	−10.7540	+	3.91415i	−0.482384	+	0.175574i
$498$	−6.57861	−	52.1036i	−0.294795	−	2.33482i
$499$	1.77521	−	20.2907i	0.0794693	−	0.908338i	−0.846908	−	0.531740i	$-0.821538\pi$
$499$	1.77521	−	20.2907i	0.0794693	−	0.908338i	0.926377	−	0.376598i	$-0.122906\pi$
$500$	−20.5669	+	11.5852i	−0.919781	+	0.518105i
$501$	29.6477	−	20.7595i	1.32456	−	0.927468i
$502$	18.5694	+	2.54498i	0.828794	+	0.113588i
$503$	12.6926	−	27.2194i	0.565936	−	1.21365i	−0.390200	−	0.920730i	$-0.627594\pi$
$503$	12.6926	−	27.2194i	0.565936	−	1.21365i	0.956136	−	0.292923i	$-0.0946280\pi$
$504$	−22.8189	−	3.37436i	−1.01644	−	0.150306i
$505$	−26.6129	−	18.6345i	−1.18426	−	0.829226i
$506$	−4.07888	+	1.66424i	−0.181328	+	0.0739843i
$507$	14.1275	−	24.4695i	0.627422	−	1.08673i
$508$	−11.0415	+	23.0374i	−0.489889	+	1.02212i
$509$	−4.22976	+	23.9882i	−0.187481	+	1.06326i	0.735246	+	0.677801i	$0.237067\pi$
$509$	−4.22976	+	23.9882i	−0.187481	+	1.06326i	−0.922726	+	0.385456i	$0.874044\pi$
$510$	−7.96920	+	35.0655i	−0.352882	+	1.55273i
$511$	−27.6315	−	10.0570i	−1.22234	−	0.444897i
$512$	9.64682	−	20.4680i	0.426333	−	0.904566i
$513$	−9.19512	+	4.28775i	−0.405974	+	0.189309i
$514$	−20.6737	−	6.63916i	−0.911880	−	0.292841i
$515$	−4.28819	+	3.59822i	−0.188960	+	0.158556i
$516$	0.167578	−	0.137612i	0.00737721	−	0.00605803i
$517$	3.06499			0.134798
$518$	−0.0671006	−	19.6895i	−0.00294823	−	0.865108i
$519$		−	49.4366i		−	2.17002i
$520$	8.08878	−	1.65867i	0.354717	−	0.0727374i
$521$	7.02082	+	8.36709i	0.307588	+	0.366569i	0.897589	−	0.440834i	$-0.145317\pi$
$521$	7.02082	+	8.36709i	0.307588	+	0.366569i	−0.590001	+	0.807402i	$0.700873\pi$
$522$	−32.8028	−	10.5343i	−1.43574	−	0.461073i
$523$	−0.646586	−	1.38661i	−0.0282732	−	0.0606322i	0.891664	−	0.452698i	$-0.149538\pi$
$523$	−0.646586	−	1.38661i	−0.0282732	−	0.0606322i	−0.919937	+	0.392066i	$0.871761\pi$
$524$	−2.15149	+	11.4878i	−0.0939884	+	0.501845i
$525$	1.35544	−	3.72405i	0.0591564	−	0.162531i
$526$	13.0637	+	2.96895i	0.569607	+	0.129452i
$527$	−9.27039	−	1.63462i	−0.403825	−	0.0712052i
$528$	12.1119	−	1.87165i	0.527103	−	0.0814529i
$529$	−14.0435	−	8.10804i	−0.610588	−	0.352523i
$530$	33.3519	−	13.6080i	1.44871	−	0.591094i
$531$	19.2096	−	27.4342i	0.833627	−	1.19054i
$532$	30.3701	−	10.6904i	1.31671	−	0.463486i
$533$	3.40488	+	1.58772i	0.147482	+	0.0687719i
$534$	−5.10421	+	37.2428i	−0.220881	+	1.61165i
$535$	19.9312	+	28.4646i	0.861699	+	1.23063i
$536$	−0.916698	−	33.0600i	−0.0395953	−	1.42798i
$537$	30.0026	+	2.62489i	1.29471	+	0.113272i
$538$	−2.39753	−	18.9888i	−0.103365	−	0.818666i
$539$	−0.720356	−	1.97916i	−0.0310279	−	0.0852486i
$540$	−5.91890	+	0.979041i	−0.254709	+	0.0421312i
$541$	−17.3666	−	4.65338i	−0.746650	−	0.200064i	−0.134618	−	0.990898i	$-0.542981\pi$
$541$	−17.3666	−	4.65338i	−0.746650	−	0.200064i	−0.612032	+	0.790833i	$0.709648\pi$
$542$	−19.6011	−	38.1460i	−0.841940	−	1.63851i
$543$	−37.4384	−	31.4145i	−1.60663	−	1.34813i
$544$	26.5062	−	5.14293i	1.13644	−	0.220501i
$545$	13.8461	−	7.99405i	0.593102	−	0.342428i
$546$	−7.13601	+	9.19840i	−0.305393	+	0.393655i
$547$	0.898005	+	3.35140i	0.0383959	+	0.143296i	0.982463	−	0.186458i	$-0.0597009\pi$
$547$	0.898005	+	3.35140i	0.0383959	+	0.143296i	−0.944067	+	0.329754i	$0.893034\pi$
$548$	10.9343	−	2.80587i	0.467092	−	0.119861i
$549$	27.0356	+	27.0356i	1.15385	+	1.15385i
$550$	−0.0559188	+	1.14175i	−0.00238439	+	0.0486844i
$551$	47.3581	−	8.35052i	2.01752	−	0.355744i
$552$	−13.7099	−	12.9702i	−0.583534	−	0.552046i
$553$	1.54459	+	17.6547i	0.0656826	+	0.750756i
$554$	11.3360	−	21.4972i	0.481622	−	0.913327i
$555$	−10.0131	−	30.8186i	−0.425031	−	1.30818i
$556$	−15.9121	−	23.2459i	−0.674825	−	0.985845i
$557$	0.948599	+	10.8425i	0.0401934	+	0.459413i	0.989446	+	0.144899i	$0.0462859\pi$
$557$	0.948599	+	10.8425i	0.0401934	+	0.459413i	−0.949253	+	0.314514i	$0.898159\pi$
$558$	−2.09944	−	9.71350i	−0.0888765	−	0.411205i
$559$	−0.0103171	−	0.0585111i	−0.000436366	−	0.00247476i
$560$	18.9970	−	1.25658i	0.802768	−	0.0531004i
$561$	10.3409	+	10.3409i	0.436593	+	0.436593i
$562$	−19.3072	+	17.5043i	−0.814426	+	0.738376i
$563$	15.6850	−	4.20278i	0.661043	−	0.177126i	0.0873264	−	0.996180i	$-0.472168\pi$
$563$	15.6850	−	4.20278i	0.661043	−	0.177126i	0.573717	+	0.819054i	$0.305501\pi$
$564$	5.42275	+	11.9587i	0.228339	+	0.503553i
$565$	9.21709	−	5.32149i	0.387766	−	0.223877i
$566$	−23.7974	+	14.9838i	−1.00028	+	0.629815i
$567$	−10.2896	+	12.2626i	−0.432121	+	0.514982i
$568$	12.4386	+	6.72878i	0.521910	+	0.282333i
$569$	−2.95717	−	0.792373i	−0.123971	−	0.0332180i	0.196300	−	0.980544i	$-0.437107\pi$
$569$	−2.95717	−	0.792373i	−0.123971	−	0.0332180i	−0.320271	+	0.947326i	$0.603774\pi$
$570$	42.2088	−	32.0337i	1.76793	−	1.34174i
$571$	−21.9047	+	7.97266i	−0.916683	+	0.333645i	−0.756918	−	0.653510i	$-0.773296\pi$
$571$	−21.9047	+	7.97266i	−0.916683	+	0.333645i	−0.159765	+	0.987155i	$0.551074\pi$
$572$	1.18192	−	3.14316i	0.0494187	−	0.131422i
$573$	33.4209	+	2.92395i	1.39618	+	0.122150i
$574$	7.28088	+	4.69291i	0.303898	+	0.195878i
$575$	1.44198	−	1.00968i	0.0601347	−	0.0421068i
$576$	15.5983	+	23.8580i	0.649931	+	0.994084i
$577$	−27.5420	−	12.8431i	−1.14659	−	0.534664i	−0.245973	−	0.969277i	$-0.579107\pi$
$577$	−27.5420	−	12.8431i	−1.14659	−	0.534664i	−0.900617	+	0.434613i	$0.856885\pi$
$578$	5.99944	+	5.55630i	0.249544	+	0.231111i
$579$	−20.8750	−	14.6168i	−0.867536	−	0.607455i
$580$	28.2996	+	2.77869i	1.17508	+	0.115379i
$581$	−28.7333	−	16.5892i	−1.19206	−	0.688236i
$582$	−0.200478	−	5.22787i	−0.00831009	−	0.216702i
$583$	2.54382	−	14.4267i	0.105354	−	0.597493i
$584$	13.3694	+	33.7874i	0.553230	+	1.39813i
$585$	−3.55762	+	9.77447i	−0.147089	+	0.404125i
$586$	7.65356	−	2.36860i	0.316166	−	0.0978461i
$587$	10.0653	−	4.69352i	0.415439	−	0.193722i	−0.203649	−	0.979044i	$-0.565280\pi$
$587$	10.0653	−	4.69352i	0.415439	−	0.193722i	0.619088	+	0.785321i	$0.287502\pi$
$588$	6.44763	−	6.31227i	0.265896	−	0.260314i
$589$	8.91613	+	10.6258i	0.367383	+	0.437830i
$590$	−10.7134	+	25.4813i	−0.441063	+	1.04905i
$591$	−20.0627			−0.825267
$592$	−18.1429	+	16.2122i	−0.745667	+	0.666319i
$593$	5.13558			0.210893			0.105447	−	0.994425i	$-0.466373\pi$
$593$	5.13558			0.210893			0.105447	+	0.994425i	$0.466373\pi$
$594$	−0.945626	+	2.24913i	−0.0387995	+	0.0922828i
$595$	14.6028	+	17.4030i	0.598657	+	0.713452i
$596$	−18.1228	+	17.7423i	−0.742337	+	0.726753i
$597$	53.8374	−	25.1048i	2.20342	−	1.02747i
$598$	−4.94000	+	1.52882i	−0.202011	+	0.0625179i
$599$	1.78308	−	4.89896i	0.0728545	−	0.200166i	−0.897920	−	0.440158i	$-0.854922\pi$
$599$	1.78308	−	4.89896i	0.0728545	−	0.200166i	0.970775	+	0.239992i	$0.0771447\pi$
$600$	−4.55372	+	1.80187i	−0.185905	+	0.0735611i
$601$	3.79489	−	21.5219i	0.154797	−	0.877896i	−0.804175	−	0.594393i	$-0.797392\pi$
$601$	3.79489	−	21.5219i	0.154797	−	0.877896i	0.958971	−	0.283503i	$-0.0914966\pi$
$602$	−0.00524947	−	0.136890i	−0.000213952	−	0.00557923i
$603$	36.0812	+	20.8315i	1.46934	+	0.848324i
$604$	17.9794	+	1.76537i	0.731573	+	0.0718318i
$605$	16.3008	+	11.4140i	0.662724	+	0.464044i
$606$	−41.5293	−	38.4618i	−1.68701	−	1.56241i
$607$	11.2179	+	5.23100i	0.455321	+	0.212320i	0.636728	−	0.771088i	$-0.280287\pi$
$607$	11.2179	+	5.23100i	0.455321	+	0.212320i	−0.181407	+	0.983408i	$0.558065\pi$
$608$	−34.7914	−	19.3006i	−1.41098	−	0.782745i
$609$	−32.8416	+	22.9959i	−1.33081	+	0.931842i
$610$	−26.5243	−	17.0963i	−1.07394	−	0.692210i
$611$	3.58412	+	0.313570i	0.144998	+	0.0126857i
$612$	−11.9717	+	31.8371i	−0.483928	+	1.28694i
$613$	21.4842	−	7.81961i	0.867739	−	0.315831i	0.130488	−	0.991450i	$-0.458346\pi$
$613$	21.4842	−	7.81961i	0.867739	−	0.315831i	0.737251	+	0.675619i	$0.236123\pi$
$614$	−25.5108	+	19.3610i	−1.02953	+	0.781346i
$615$	13.7702	+	3.68973i	0.555270	+	0.148784i
$616$	3.68398	−	6.81006i	0.148432	−	0.274385i
$617$	27.0911	−	32.2859i	1.09065	−	1.29978i	0.139781	−	0.990182i	$-0.455360\pi$
$617$	27.0911	−	32.2859i	1.09065	−	1.29978i	0.950867	−	0.309601i	$-0.100195\pi$
$618$	−8.25328	+	5.19659i	−0.331996	+	0.209037i
$619$	13.7625	−	7.94581i	0.553164	−	0.319369i	−0.197233	−	0.980357i	$-0.563196\pi$
$619$	13.7625	−	7.94581i	0.553164	−	0.319369i	0.750397	+	0.660987i	$0.229862\pi$
$620$	3.38734	+	7.47006i	0.136039	+	0.300005i
$621$	3.62917	−	0.972432i	0.145633	−	0.0390223i
$622$	6.79582	−	6.16123i	0.272488	−	0.247043i
$623$	16.7927	+	16.7927i	0.672787	+	0.672787i
$624$	14.3548	−	0.949523i	0.574653	−	0.0380113i
$625$	3.67508	+	20.8424i	0.147003	+	0.833697i
$626$	−6.26119	−	28.9687i	−0.250247	−	1.15782i
$627$	−1.87816	−	21.4674i	−0.0750063	−	0.857326i
$628$	−15.5253	−	22.6807i	−0.619526	−	0.905058i
$629$	−28.3989	−	6.03680i	−1.13234	−	0.240703i
$630$	−11.1870	+	21.2146i	−0.445702	+	0.845209i
$631$	−2.34782	−	26.8357i	−0.0934651	−	1.06831i	−0.887614	−	0.460588i	$-0.847639\pi$
$631$	−2.34782	−	26.8357i	−0.0934651	−	1.06831i	0.794149	−	0.607723i	$-0.207917\pi$
$632$	15.0503	−	15.9088i	0.598670	−	0.632817i
$633$	12.1553	−	2.14330i	0.483128	−	0.0851885i
$634$	−1.12897	+	23.0513i	−0.0448370	+	0.915483i
$635$	18.7820	+	18.7820i	0.745340	+	0.745340i
$636$	60.7895	−	15.5993i	2.41046	−	0.618552i
$637$	−0.639884	−	2.38808i	−0.0253531	−	0.0946192i
$638$	7.08850	−	9.13716i	0.280636	−	0.361743i
$639$	−15.4284	+	8.90757i	−0.610336	+	0.352378i
$640$	−16.7435	−	16.5271i	−0.661846	−	0.653291i
$641$	28.0040	+	23.4981i	1.10609	+	0.928120i	0.997820	−	0.0660014i	$-0.0210242\pi$
$641$	28.0040	+	23.4981i	1.10609	+	0.928120i	0.108271	+	0.994121i	$0.465469\pi$
$642$	27.6702	+	53.8493i	1.09205	+	2.12526i
$643$	30.2902	+	8.11623i	1.19453	+	0.320073i	0.800674	−	0.599100i	$-0.204475\pi$
$643$	30.2902	+	8.11623i	1.19453	+	0.320073i	0.393854	+	0.919173i	$0.371141\pi$
$644$	−11.7634	+	1.94577i	−0.463541	+	0.0766739i
$645$	−0.0771099	−	0.211858i	−0.00303620	−	0.00834189i
$646$	−5.94708	−	47.1017i	−0.233985	−	1.85319i
$647$	25.3466	+	2.21754i	0.996476	+	0.0871803i	0.573710	−	0.819059i	$-0.305504\pi$
$647$	25.3466	+	2.21754i	0.996476	+	0.0871803i	0.422766	+	0.906239i	$0.361059\pi$
$648$	19.7736	−	0.548288i	0.776780	−	0.0215388i
$649$	6.44787	+	9.20852i	0.253101	+	0.361466i
$650$	−0.182199	+	1.32941i	−0.00714644	+	0.0521439i
$651$	−10.4810	−	4.88735i	−0.410781	−	0.191550i
$652$	−23.1593	+	8.15214i	−0.906989	+	0.319263i
$653$	−4.47690	+	6.39367i	−0.175195	+	0.250204i	−0.897140	−	0.441746i	$-0.854359\pi$
$653$	−4.47690	+	6.39367i	−0.175195	+	0.250204i	0.721946	+	0.691950i	$0.243248\pi$
$654$	25.7916	−	10.5233i	1.00853	−	0.411494i
$655$	10.5238	+	6.07591i	0.411198	+	0.237405i
$656$	−1.63471	−	10.5786i	−0.0638248	−	0.413026i
$657$	−45.0789	−	7.94862i	−1.75869	−	0.310105i
$658$	8.08924	+	1.83841i	0.315351	+	0.0716687i
$659$	4.38418	−	12.0454i	0.170783	−	0.469224i	−0.824542	−	0.565801i	$-0.808567\pi$
$659$	4.38418	−	12.0454i	0.170783	−	0.469224i	0.995326	+	0.0965770i	$0.0307894\pi$
$660$	2.34571	−	12.5248i	0.0913068	−	0.487527i
$661$	−7.58409	−	16.2641i	−0.294987	−	0.632602i	0.701828	−	0.712346i	$-0.252367\pi$
$661$	−7.58409	−	16.2641i	−0.294987	−	0.632602i	−0.996815	+	0.0797444i	$0.974590\pi$
$662$	−15.5146	−	4.98236i	−0.602992	−	0.193645i
$663$	11.0344	+	13.1503i	0.428542	+	0.510717i
$664$	8.23589	+	40.1638i	0.319615	+	1.55866i
$665$		−	33.4758i		−	1.29814i
$666$	−5.42529	−	30.1668i	−0.210226	−	1.16894i
$667$	−17.8084			−0.689543
$668$	−21.8364	+	17.9317i	−0.844876	+	0.693796i
$669$	32.9588	−	27.6557i	1.27426	−	1.06923i
$670$	−32.7398	−	10.5141i	−1.26485	−	0.406194i
$671$	−11.6312	+	5.42372i	−0.449018	+	0.209380i
$672$	33.0888	+	2.32510i	1.27643	+	0.0896928i
$673$	−10.1239	−	3.68482i	−0.390249	−	0.142039i	0.139441	−	0.990230i	$-0.455470\pi$
$673$	−10.1239	−	3.68482i	−0.390249	−	0.142039i	−0.529690	+	0.848191i	$0.677692\pi$
$674$	−3.02328	+	13.3028i	−0.116452	+	0.512405i
$675$	0.169296	−	0.960125i	0.00651621	−	0.0369552i
$676$	−9.53374	+	19.8915i	−0.366682	+	0.765058i
$677$	14.0886	−	24.4021i	0.541468	−	0.937850i	−0.457352	−	0.889286i	$-0.651202\pi$
$677$	14.0886	−	24.4021i	0.541468	−	0.937850i	0.998820	−	0.0485641i	$-0.0154645\pi$
$678$	17.1690	−	7.00516i	0.659370	−	0.269032i
$679$	−2.70746	−	1.89578i	−0.103903	−	0.0727534i
$680$	4.10669	−	27.7712i	0.157484	−	1.06498i
$681$	−23.0485	+	49.4276i	−0.883220	+	1.89407i
$682$	3.30481	+	0.452932i	0.126548	+	0.0173437i
$683$	−16.2285	+	11.3633i	−0.620967	+	0.434806i	−0.841262	−	0.540628i	$-0.818187\pi$
$683$	−16.2285	+	11.3633i	−0.620967	+	0.434806i	0.220295	+	0.975433i	$0.429298\pi$
$684$	43.6689	−	24.5984i	1.66972	−	0.940542i
$685$	1.02295	−	11.6924i	0.0390851	−	0.446745i
$686$	−3.55243	−	28.1358i	−0.135632	−	1.07423i
$687$	−20.5976	+	7.49691i	−0.785847	+	0.286025i
$688$	−0.122214	+	0.117135i	−0.00465936	+	0.00446574i
$689$	4.45063	−	16.6100i	0.169555	−	0.632789i
$690$	−17.4534	+	8.96832i	−0.664439	+	0.341418i
$691$	−5.58854	+	6.66016i	−0.212598	+	0.253364i	−0.861796	−	0.507255i	$-0.830660\pi$
$691$	−5.58854	+	6.66016i	−0.212598	+	0.253364i	0.649198	+	0.760619i	$0.275105\pi$
$692$	2.95569	+	38.4811i	0.112359	+	1.46283i
$693$	4.87686	+	8.44696i	0.185256	+	0.320874i
$694$	1.19842	−	1.54477i	0.0454913	−	0.0586388i
$695$	−28.2915	+	7.58068i	−1.07316	+	0.287552i
$696$	48.1919	+	11.4913i	1.82671	+	0.435578i
$697$	9.03184	−	9.03184i	0.342105	−	0.342105i
$698$	−26.4834	−	1.29706i	−1.00241	−	0.0490944i
$699$	0.909754	+	5.15947i	0.0344101	+	0.195149i
$700$	−0.832416	+	2.97981i	−0.0314624	+	0.112626i
$701$	−45.5903	+	3.98863i	−1.72192	+	0.150649i	−0.904806	−	0.425824i	$-0.859984\pi$
$701$	−45.5903	+	3.98863i	−1.72192	+	0.150649i	−0.817116	+	0.576473i	$0.804429\pi$
$702$	−1.33589	+	2.53333i	−0.0504200	+	0.0956143i
$703$	26.3387	+	33.7130i	0.993382	+	1.27151i
$704$	−9.31591	+	2.18102i	−0.351107	+	0.0822001i
$705$	13.6005	−	1.18989i	0.512224	−	0.0448138i
$706$	3.53297	−	0.763603i	0.132965	−	0.0287386i
$707$	−35.2169	+	6.20968i	−1.32447	+	0.233539i
$708$	−24.5211	+	41.4500i	−0.921558	+	1.55779i
$709$	−16.8141	+	16.8141i	−0.631468	+	0.631468i	−0.948436	−	0.316968i	$-0.897335\pi$
$709$	−16.8141	+	16.8141i	−0.631468	+	0.631468i	0.316968	+	0.948436i	$0.397335\pi$
$710$	10.8933	−	9.87609i	0.408818	−	0.370643i
$711$	7.14030	+	26.6480i	0.267782	+	0.999377i
$712$	1.74643	−	29.2947i	0.0654501	−	1.09787i
$713$	−2.56839	−	4.44857i	−0.0961868	−	0.166600i
$714$	21.0895	+	33.4947i	0.789256	+	1.25351i
$715$	−2.67460	−	2.24426i	−0.100024	−	0.0839304i
$716$	−23.5108	−	0.249412i	−0.878639	−	0.00932097i
$717$	−10.3250	+	38.5333i	−0.385593	+	1.43905i
$718$	−29.8241	+	22.6345i	−1.11303	+	0.844713i
$719$	−8.31146	−	22.8356i	−0.309965	−	0.851623i	−0.992662	−	0.120921i	$-0.961415\pi$
$719$	−8.31146	−	22.8356i	−0.309965	−	0.851623i	0.682697	−	0.730702i	$-0.260807\pi$
$720$	28.7835	−	7.06160i	1.07270	−	0.263170i
$721$	−0.537017	+	6.13813i	−0.0199995	+	0.228596i
$722$	−23.3432	+	36.2162i	−0.868745	+	1.34783i
$723$	27.8612	+	39.7900i	1.03617	+	1.47980i
$724$	31.0200	+	22.2145i	1.15285	+	0.825595i
$725$	−1.95293	+	4.18807i	−0.0725299	+	0.155541i
$726$	25.4374	+	23.5585i	0.944072	+	0.874339i
$727$	12.1921	−	17.4122i	0.452182	−	0.645782i	−0.526738	−	0.850028i	$-0.676585\pi$
$727$	12.1921	−	17.4122i	0.452182	−	0.645782i	0.978920	+	0.204245i	$0.0654740\pi$
$728$	5.00467	−	7.58661i	0.185485	−	0.281178i
$729$	−18.0029	+	31.1819i	−0.666772	+	1.15488i
$730$	37.7522	−	1.44772i	1.39727	−	0.0535826i
$731$	−0.198931	−	0.0350770i	−0.00735774	−	0.00129737i
$732$	−41.7404	−	35.7857i	−1.54277	−	1.32268i
$733$	39.2585	+	14.2889i	1.45005	+	0.527774i	0.942604	−	0.333912i	$-0.108369\pi$
$733$	39.2585	+	14.2889i	1.45005	+	0.527774i	0.507443	+	0.861686i	$0.330591\pi$
$734$	2.65848	−	0.822738i	0.0981262	−	0.0303678i
$735$	−3.96484	−	8.50262i	−0.146245	−	0.313624i
$736$	11.4472	+	9.27619i	0.421949	+	0.341925i
$737$	−10.7128	+	8.98908i	−0.394610	+	0.331117i
$738$	12.4305	+	5.22629i	0.457573	+	0.192383i
$739$		−	52.8099i		−	1.94264i	−0.237768	−	0.971322i	$-0.576416\pi$
$739$		−	52.8099i		−	1.94264i	0.237768	−	0.971322i	$-0.423584\pi$
$740$	9.63668	+	23.3903i	0.354251	+	0.859846i
$741$		−	25.2956i		−	0.929257i
$742$	15.3670	−	36.5497i	0.564141	−	1.34178i
$743$	−30.9569	+	25.9760i	−1.13570	+	0.952965i	−0.999290	−	0.0376872i	$-0.988001\pi$
$743$	−30.9569	+	25.9760i	−1.13570	+	0.952965i	−0.136410	+	0.990652i	$0.543557\pi$
$744$	4.07984	+	13.6958i	0.149574	+	0.502111i
$745$	11.1442	+	23.8988i	0.408292	+	0.875586i
$746$	8.12116	+	26.2416i	0.297337	+	0.960772i
$747$	−48.5338	−	17.6649i	−1.77576	−	0.646324i
$748$	−8.66754	−	7.43103i	−0.316917	−	0.271705i
$749$	37.6673	+	6.64176i	1.37633	+	0.242685i
$750$	1.63860	+	42.7298i	0.0598333	+	1.56027i
$751$	−6.47022	+	11.2068i	−0.236102	+	0.408940i	−0.959592	−	0.281394i	$-0.909203\pi$
$751$	−6.47022	+	11.2068i	−0.236102	+	0.408940i	0.723490	+	0.690334i	$0.242537\pi$
$752$	−4.93602	−	8.98437i	−0.179998	−	0.327626i
$753$	19.4746	−	27.8127i	0.709695	−	1.01355i
$754$	9.22390	−	9.95955i	0.335915	−	0.362705i
$755$	7.93830	−	17.0237i	0.288904	−	0.619558i
$756$	−3.84478	+	5.36879i	−0.139833	+	0.195261i
$757$	−21.8812	−	31.2496i	−0.795287	−	1.13579i	−0.987988	−	0.154530i	$-0.950614\pi$
$757$	−21.8812	−	31.2496i	−0.795287	−	1.13579i	0.192701	−	0.981257i	$-0.438275\pi$
$758$	4.13317	+	2.66404i	0.150123	+	0.0967624i
$759$	−0.695525	+	7.94989i	−0.0252460	+	0.288563i
$760$	−30.9398	+	27.4583i	−1.12230	+	0.996019i
$761$	13.9515	+	38.3314i	0.505741	+	1.38951i	0.885592	+	0.464465i	$0.153753\pi$
$761$	13.9515	+	38.3314i	0.505741	+	1.38951i	−0.379850	+	0.925048i	$0.624025\pi$
$762$	27.9772	+	36.8638i	1.01351	+	1.33543i
$763$	4.55475	−	16.9986i	0.164893	−	0.615390i
$764$	−26.1894	−	0.277828i	−0.947498	−	0.0100515i
$765$	27.0911	+	22.7321i	0.979480	+	0.821882i
$766$	34.3033	−	21.5987i	1.23943	−	0.780393i
$767$	6.59788	+	11.4279i	0.238236	+	0.412636i
$768$	−24.9919	−	32.4892i	−0.901819	−	1.17235i
$769$	−6.99127	−	26.0918i	−0.252112	−	0.940894i	−0.969675	−	0.244400i	$-0.921409\pi$
$769$	−6.99127	−	26.0918i	−0.252112	−	0.940894i	0.717563	−	0.696494i	$-0.245258\pi$
$770$	−5.40712	−	5.96403i	−0.194859	−	0.214929i
$771$	−27.8135	+	27.8135i	−1.00168	+	1.00168i
$772$	17.1229	+	10.1296i	0.616265	+	0.364571i
$773$	−27.5915	+	4.86512i	−0.992397	+	0.174986i	−0.646194	−	0.763173i	$-0.723640\pi$
$773$	−27.5915	+	4.86512i	−0.992397	+	0.174986i	−0.346203	+	0.938160i	$0.612529\pi$
$774$	−0.0450515	−	0.208440i	−0.00161934	−	0.00749222i
$775$	−1.32785	+	0.116172i	−0.0476977	+	0.00417300i
$776$	0.468612	+	4.05735i	0.0168222	+	0.145650i
$777$	−31.7800	−	16.1933i	−1.14010	−	0.580932i
$778$	36.7969	+	19.4040i	1.31923	+	0.695668i
$779$	−18.7498	+	1.64040i	−0.671783	+	0.0587734i
$780$	4.02439	−	14.4062i	0.144096	−	0.515824i
$781$	−1.03838	−	5.88895i	−0.0371562	−	0.210723i
$782$	−0.860040	+	17.5603i	−0.0307550	+	0.627956i
$783$	−6.97415	+	6.97415i	−0.249236	+	0.249236i
$784$	−4.64140	+	5.29892i	−0.165764	+	0.189247i
$785$	−27.6036	+	7.39637i	−0.985216	+	0.263988i
$786$	16.7282	+	12.9775i	0.596675	+	0.462894i
$787$	−12.5511	−	21.7391i	−0.447398	−	0.774916i	0.550818	−	0.834625i	$-0.314316\pi$
$787$	−12.5511	−	21.7391i	−0.447398	−	0.774916i	−0.998216	+	0.0597096i	$0.980983\pi$
$788$	15.6166	−	1.19950i	0.556319	−	0.0427303i
$789$	15.5995	−	18.5907i	0.555356	−	0.661847i
$790$	−10.4067	−	20.2526i	−0.370253	−	0.720555i
$791$	3.03201	−	11.3156i	0.107806	−	0.402337i
$792$	3.80683	−	11.4360i	0.135270	−	0.406360i
$793$	−14.1561	+	5.15240i	−0.502698	+	0.182967i
$794$	−36.1309	+	4.56190i	−1.28224	+	0.161896i
$795$	5.68713	−	65.0041i	0.201702	−	2.30546i
$796$	−40.4057	+	22.7602i	−1.43214	+	0.806714i
$797$	28.0313	−	19.6278i	0.992921	−	0.695251i	0.0402295	−	0.999190i	$-0.487191\pi$
$797$	28.0313	−	19.6278i	0.992921	−	0.695251i	0.952691	+	0.303940i	$0.0983022\pi$
$798$	7.91945	−	57.7842i	0.280346	−	2.04554i
$799$	5.16954	−	11.0861i	0.182885	−	0.392198i
$800$	3.43685	−	1.67482i	0.121511	−	0.0592138i
$801$	30.2834	+	21.2047i	1.07001	+	0.749230i
$802$	−5.68981	−	13.9452i	−0.200914	−	0.492421i
$803$	7.68226	−	13.3061i	0.271101	−	0.469561i
$804$	−54.0265	−	25.8942i	−1.90537	−	0.913217i
$805$	−2.15270	+	12.2085i	−0.0758726	+	0.430295i
$806$	3.81822	+	0.867752i	0.134491	+	0.0305653i
$807$	−32.5804	−	11.8583i	−1.14689	−	0.417432i
$808$	34.6257	+	27.4555i	1.21813	+	0.965881i
$809$	−4.32879	+	2.01855i	−0.152192	+	0.0709684i	−0.497222	−	0.867623i	$-0.665647\pi$
$809$	−4.32879	+	2.01855i	−0.152192	+	0.0709684i	0.345030	+	0.938592i	$0.387869\pi$
$810$	6.28859	−	19.5821i	0.220959	−	0.688045i
$811$	−9.89446	+	8.30244i	−0.347442	+	0.291538i	−0.799762	−	0.600318i	$-0.795041\pi$
$811$	−9.89446	+	8.30244i	−0.347442	+	0.291538i	0.452320	+	0.891856i	$0.350596\pi$
$812$	24.1888	−	19.8634i	0.848860	−	0.697068i
$813$	−77.6905			−2.72473
$814$	10.1379	+	1.75198i	0.355334	+	0.0614070i
$815$			25.5277i			0.894195i
$816$	13.6586	−	46.9657i	0.478148	−	1.64413i
$817$	0.191329	+	0.228017i	0.00669376	+	0.00797732i
$818$	8.70123	−	27.0948i	0.304232	−	0.947349i
$819$	4.83869	+	10.3766i	0.169077	+	0.362588i
$820$	−10.9393	−	2.04877i	−0.382016	−	0.0715461i
$821$	12.1645	−	33.4216i	0.424543	−	1.16642i	−0.524537	−	0.851388i	$-0.675762\pi$
$821$	12.1645	−	33.4216i	0.424543	−	1.16642i	0.949080	−	0.315035i	$-0.102016\pi$
$822$	4.53187	−	19.9408i	0.158067	−	0.695517i
$823$	6.72001	+	1.18492i	0.234245	+	0.0413037i	0.289538	−	0.957166i	$-0.406498\pi$
$823$	6.72001	+	1.18492i	0.234245	+	0.0413037i	−0.0552934	+	0.998470i	$0.517609\pi$
$824$	6.11361	−	4.53843i	0.212978	−	0.158104i
$825$	1.79333	+	1.03538i	0.0624359	+	0.0360474i
$826$	11.4941	+	28.1710i	0.399932	+	0.980193i
$827$	−28.0679	+	40.0851i	−0.976017	+	1.39390i	−0.0575745	+	0.998341i	$0.518337\pi$
$827$	−28.0679	+	40.0851i	−0.976017	+	1.39390i	−0.918442	+	0.395555i	$0.870552\pi$
$828$	−17.5078	+	6.16278i	−0.608437	+	0.214172i
$829$	−32.1125	−	14.9743i	−1.11531	−	0.520079i	−0.224511	−	0.974472i	$-0.572079\pi$
$829$	−32.1125	−	14.9743i	−1.11531	−	0.520079i	−0.890801	+	0.454393i	$0.849856\pi$
$830$	42.2335	+	5.78820i	1.46595	+	0.200911i
$831$	−25.2516	−	36.0631i	−0.875969	−	1.25101i
$832$	−11.1169	+	1.59734i	−0.385410	+	0.0553779i
$833$	−8.37364	−	0.732599i	−0.290129	−	0.0253830i
$834$	−50.6287	+	6.39239i	−1.75313	+	0.221350i
$835$	10.0479	+	27.6063i	0.347721	+	0.955357i
$836$	2.74543	+	16.5978i	0.0949526	+	0.574047i
$837$	−2.74799	−	0.736323i	−0.0949846	−	0.0254510i
$838$	4.86957	−	2.50220i	0.168217	−	0.0864371i
$839$	−28.2420	−	23.6978i	−0.975021	−	0.818140i	0.00830962	−	0.999965i	$-0.497355\pi$
$839$	−28.2420	−	23.6978i	−0.975021	−	0.818140i	−0.983331	+	0.181826i	$0.941799\pi$
$840$	13.7034	−	31.6489i	0.472812	−	1.09199i
$841$	15.3707	−	8.87426i	0.530023	−	0.306009i
$842$	−3.76094	−	2.91770i	−0.129611	−	0.100550i
$843$	12.2187	+	45.6007i	0.420834	+	1.57057i
$844$	−9.33342	+	2.39506i	−0.321270	+	0.0824414i
$845$	16.2172	+	16.2172i	0.557888	+	0.557888i
$846$	12.8981	+	0.631703i	0.443447	+	0.0217184i
$847$	21.5709	−	3.80354i	0.741186	−	0.130691i
$848$	−46.3855	+	15.7768i	−1.59288	+	0.541779i
$849$	4.43994	+	50.7487i	0.152378	+	1.74169i
$850$	4.03541	+	2.12798i	0.138414	+	0.0729892i
$851$	−7.43770	−	13.9888i	−0.254961	−	0.479529i
$852$	21.1398	−	14.4705i	0.724239	−	0.495752i
$853$	3.74806	+	42.8405i	0.128331	+	1.46683i	0.738336	+	0.674433i	$0.235612\pi$
$853$	3.74806	+	42.8405i	0.128331	+	1.46683i	−0.610005	+	0.792397i	$0.708833\pi$
$854$	−33.9507	+	7.33799i	−1.16177	+	0.251101i
$855$	−9.04909	−	51.3199i	−0.309472	−	1.75510i
$856$	−24.7578	−	40.2616i	−0.846203	−	1.37611i
$857$	28.5166	+	28.5166i	0.974107	+	0.974107i	0.999673	−	0.0255661i	$-0.00813883\pi$
$857$	28.5166	+	28.5166i	0.974107	+	0.974107i	−0.0255661	+	0.999673i	$0.508139\pi$
$858$	−4.08582	−	4.50665i	−0.139488	−	0.153855i
$859$	19.5634	−	5.24200i	0.667495	−	0.178855i	0.0908687	−	0.995863i	$-0.471036\pi$
$859$	19.5634	−	5.24200i	0.667495	−	0.178855i	0.576626	+	0.817008i	$0.304369\pi$
$860$	0.0726883	+	0.160298i	0.00247865	+	0.00546613i
$861$	13.5894	−	7.84585i	0.463126	−	0.267386i
$862$	−26.4307	−	41.9776i	−0.900234	−	1.42976i
$863$	21.6559	−	25.8085i	0.737175	−	0.878531i	−0.259003	−	0.965877i	$-0.583394\pi$
$863$	21.6559	−	25.8085i	0.737175	−	0.878531i	0.996178	+	0.0873451i	$0.0278383\pi$
$864$	8.11572	−	0.850206i	0.276103	−	0.0289246i
$865$	38.7604	+	10.3858i	1.31789	+	0.353129i
$866$	−3.35817	−	4.42486i	−0.114115	−	0.150363i
$867$	13.9196	−	5.06631i	0.472734	−	0.172061i
$868$	8.45051	+	3.17765i	0.286829	+	0.107856i
$869$	−9.22491	−	0.807075i	−0.312934	−	0.0273781i
$870$	27.9071	−	43.2968i	0.946138	−	1.46790i
$871$	−13.4469	+	9.41561i	−0.455630	+	0.319036i
$872$	−19.4468	+	9.73328i	−0.658553	+	0.329610i
$873$	−4.66311	−	2.17445i	−0.157823	−	0.0735938i
$874$	17.6035	−	19.0074i	0.595447	−	0.642936i
$875$	22.1293	+	15.4951i	0.748107	+	0.523830i
$876$	65.5084	+	6.43215i	2.21332	+	0.217322i
$877$	−31.1394	−	17.9783i	−1.05150	−	0.607086i	−0.128433	−	0.991718i	$-0.540995\pi$
$877$	−31.1394	−	17.9783i	−1.05150	−	0.607086i	−0.923070	+	0.384632i	$0.874328\pi$
$878$	−35.7135	+	1.36954i	−1.20527	+	0.0462198i
$879$	2.52019	−	14.2927i	0.0850040	−	0.482082i
$880$	−1.07706	+	9.88945i	−0.0363077	+	0.333373i
$881$	14.3425	−	39.4056i	0.483210	−	1.32761i	−0.423516	−	0.905889i	$-0.639204\pi$
$881$	14.3425	−	39.4056i	0.483210	−	1.32761i	0.906726	−	0.421721i	$-0.138574\pi$
$882$	−2.62350	−	8.47720i	−0.0883378	−	0.285442i
$883$	3.70248	−	1.72650i	0.124598	−	0.0581012i	−0.359319	−	0.933215i	$-0.616991\pi$
$883$	3.70248	−	1.72650i	0.124598	−	0.0581012i	0.483918	+	0.875113i	$0.339213\pi$
$884$	−9.37536	−	9.57640i	−0.315327	−	0.322089i
$885$	32.1865	+	38.3584i	1.08194	+	1.28940i
$886$	45.1879	+	18.9988i	1.51812	+	0.638279i
$887$	−28.8018			−0.967069			−0.483534	−	0.875325i	$-0.660647\pi$
$887$	−28.8018			−0.967069			−0.483534	+	0.875325i	$0.660647\pi$
$888$	11.1008	+	42.6549i	0.372519	+	1.43141i
$889$	29.2367			0.980567
$890$	−28.1277	−	11.8260i	−0.942842	−	0.396410i
$891$	−5.37648	−	6.40743i	−0.180119	−	0.214657i
$892$	−24.0014	+	23.4975i	−0.803626	+	0.786755i
$893$	−16.3358	+	7.61753i	−0.546658	+	0.254911i
$894$	13.5827	+	43.8893i	0.454275	+	1.46788i
$895$	−8.36109	+	22.9719i	−0.279480	+	0.767866i
$896$	−25.8951	+	0.168454i	−0.865095	+	0.00562764i
$897$	−1.62666	+	9.22524i	−0.0543126	+	0.308022i
$898$	9.31893	−	0.357362i	0.310977	−	0.0119253i
$899$	11.6779	+	6.74223i	0.389479	+	0.224866i
$900$	−0.470636	+	4.79320i	−0.0156879	+	0.159773i
$901$	−47.8911	−	33.5337i	−1.59548	−	1.11717i
$902$	−3.07550	+	3.32078i	−0.102403	+	0.110570i
$903$	−0.224909	−	0.104877i	−0.00748449	−	0.00349008i
$904$	−12.9454	+	6.47926i	−0.430557	+	0.215497i
$905$	32.4955	−	22.7536i	1.08019	−	0.756356i
$906$	17.7300	−	27.5075i	0.589041	−	0.913876i
$907$	1.25408	+	0.109718i	0.0416411	+	0.00364313i	0.107957	−	0.994156i	$-0.465569\pi$
$907$	1.25408	+	0.109718i	0.0416411	+	0.00364313i	−0.0663162	+	0.997799i	$0.521125\pi$
$908$	14.9856	−	39.8521i	0.497315	−	1.32254i
$909$	−52.3105	+	19.0394i	−1.73503	+	0.631499i
$910$	−5.71278	−	7.52737i	−0.189377	−	0.249530i
$911$	25.3389	+	6.78954i	0.839515	+	0.224947i	0.652861	−	0.757478i	$-0.273569\pi$
$911$	25.3389	+	6.78954i	0.839515	+	0.224947i	0.186655	+	0.982426i	$0.440235\pi$
$912$	−59.9025	+	40.0776i	−1.98357	+	1.32710i
$913$	11.1435	−	13.2804i	0.368798	−	0.439516i
$914$	−19.8362	−	31.5040i	−0.656122	−	1.04206i
$915$	−49.5063	+	28.5825i	−1.63663	+	0.944908i
$916$	15.5848	−	7.06702i	0.514936	−	0.233501i
$917$	12.9198	−	3.46186i	0.426650	−	0.114321i
$918$	6.54019	+	7.21381i	0.215859	+	0.238091i
$919$	20.3013	+	20.3013i	0.669678	+	0.669678i	0.957641	−	0.287963i	$-0.0929782\pi$
$919$	20.3013	+	20.3013i	0.669678	+	0.669678i	−0.287963	+	0.957641i	$0.592978\pi$
$920$	13.0494	−	8.02437i	0.430226	−	0.264556i
$921$	10.0741	+	57.1333i	0.331954	+	1.88261i
$922$	−26.6211	+	5.75380i	−0.876720	+	0.189491i
$923$	−0.611775	−	6.99262i	−0.0201368	−	0.230165i
$924$	−7.92255	−	11.5740i	−0.260633	−	0.380756i
$925$	−4.10544	+	0.215096i	−0.134986	+	0.00707233i
$926$	1.07104	+	0.564786i	0.0351964	+	0.0185600i
$927$	0.835971	+	9.55519i	0.0274569	+	0.313834i
$928$	−38.1993	−	6.06349i	−1.25395	−	0.199044i
$929$	12.1179	−	2.13672i	0.397576	−	0.0701034i	0.0287145	−	0.999588i	$-0.490859\pi$
$929$	12.1179	−	2.13672i	0.397576	−	0.0701034i	0.368862	+	0.929484i	$0.379748\pi$
$930$	14.8405	+	0.726833i	0.486639	+	0.0238338i
$931$	8.75825	+	8.75825i	0.287040	+	0.287040i
$932$	−1.01662	−	3.96170i	−0.0333004	−	0.129770i
$933$	−4.30077	−	16.0507i	−0.140801	−	0.525477i
$934$	6.57894	+	5.10386i	0.215269	+	0.167004i
$935$	−10.2802	+	5.93526i	−0.336198	+	0.194104i
$936$	5.62159	−	12.9835i	0.183748	−	0.424378i
$937$	−4.67216	−	3.92041i	−0.152633	−	0.128074i	0.563273	−	0.826271i	$-0.309542\pi$
$937$	−4.67216	−	3.92041i	−0.152633	−	0.128074i	−0.715906	+	0.698196i	$0.753986\pi$
$938$	−33.6653	+	17.2987i	−1.09921	+	0.564823i
$939$	−51.8591	−	13.8956i	−1.69236	−	0.453466i
$940$	−10.5154	+	1.73934i	−0.342974	+	0.0567310i
$941$	15.9595	+	43.8483i	0.520265	+	1.42942i	0.870227	+	0.492651i	$0.163972\pi$
$941$	15.9595	+	43.8483i	0.520265	+	1.42942i	−0.349962	+	0.936764i	$0.613806\pi$
$942$	−49.3977	+	6.23697i	−1.60946	+	0.203211i
$943$	6.94351	+	0.607478i	0.226112	+	0.0197822i
$944$	16.6088	−	33.7304i	0.540571	−	1.09783i
$945$	3.93809	+	5.62418i	0.128106	+	0.182954i
$946$	0.0709172	+	0.00971936i	0.00230572	+	0.000316004i
$947$	−16.6479	−	7.76305i	−0.540985	−	0.252265i	0.132865	−	0.991134i	$-0.457582\pi$
$947$	−16.6479	−	7.76305i	−0.540985	−	0.252265i	−0.673849	+	0.738869i	$0.735360\pi$
$948$	−13.1722	−	37.4209i	−0.427815	−	1.21537i
$949$	10.3447	−	14.7738i	0.335805	−	0.479579i
$950$	−2.53960	−	6.22430i	−0.0823954	−	0.201943i
$951$	36.2063	+	20.9037i	1.17407	+	0.677850i
$952$	−18.4185	−	24.8111i	−0.596948	−	0.804133i
$953$	32.2305	+	5.68311i	1.04405	+	0.184094i	0.669269	−	0.743020i	$-0.266607\pi$
$953$	32.2305	+	5.68311i	1.04405	+	0.184094i	0.374780	+	0.927114i	$0.377718\pi$
$954$	13.6783	−	60.1863i	0.442851	−	1.94860i
$955$	−9.31368	+	25.5891i	−0.301384	+	0.828045i
$956$	5.73306	−	30.6113i	0.185421	−	0.990041i
$957$	−8.85337	−	18.9861i	−0.286189	−	0.613734i
$958$	−5.74084	+	17.8764i	−0.185478	+	0.577562i
$959$	−8.30423	−	9.89660i	−0.268158	−	0.319578i
$960$	−40.4914	+	13.2946i	−1.30685	+	0.429081i
$961$		−	27.1104i		−	0.874531i
$962$	11.6758	+	3.08590i	0.376442	+	0.0994936i
$963$	59.5411			1.91868
$964$	−24.0659	−	29.3065i	−0.775111	−	0.943898i
$965$	15.8457	−	13.2962i	0.510092	−	0.428018i
$966$	−6.60408	+	20.5645i	−0.212483	+	0.661651i
$967$	−4.59602	+	2.14316i	−0.147798	+	0.0689194i	−0.495110	−	0.868830i	$-0.664872\pi$
$967$	−4.59602	+	2.14316i	−0.147798	+	0.0689194i	0.347312	+	0.937750i	$0.387095\pi$
$968$	−21.2088	−	16.8170i	−0.681677	−	0.540517i
$969$	−80.8157	−	29.4145i	−2.59617	−	0.944930i
$970$	4.14099	+	0.941107i	0.132959	+	0.0302171i
$971$	−3.25923	+	18.4840i	−0.104594	+	0.593181i	0.886788	+	0.462176i	$0.152931\pi$
$971$	−3.25923	+	18.4840i	−0.104594	+	0.593181i	−0.991382	+	0.131004i	$0.958180\pi$
$972$	19.2284	−	40.1188i	0.616752	−	1.28681i
$973$	−16.1196	+	27.9199i	−0.516770	+	0.895072i
$974$	−10.3248	−	25.3050i	−0.330828	−	0.810826i
$975$	1.99115	+	1.39422i	0.0637679	+	0.0446508i
$976$	34.6299	+	25.3598i	1.10848	+	0.811746i
$977$	17.3982	−	37.3105i	0.556617	−	1.19367i	−0.403734	−	0.914876i	$-0.632288\pi$
$977$	17.3982	−	37.3105i	0.556617	−	1.19367i	0.960351	−	0.278793i	$-0.0899343\pi$
$978$	−6.03914	+	44.0645i	−0.193110	+	1.40903i
$979$	−10.1649	+	7.11752i	−0.324871	+	0.227477i
$980$	3.59455	+	6.38133i	0.114824	+	0.203844i
$981$	2.38764	−	27.2908i	0.0762314	−	0.871329i
$982$	6.05045	−	0.763932i	0.193078	−	0.0243780i
$983$	−17.9570	+	6.53580i	−0.572738	+	0.208460i	−0.612120	−	0.790765i	$-0.709683\pi$
$983$	−17.9570	+	6.53580i	−0.572738	+	0.208460i	0.0393824	+	0.999224i	$0.487461\pi$
$984$	−18.3981	−	6.12440i	−0.586510	−	0.195239i
$985$	4.21484	−	15.7300i	0.134296	−	0.501199i
$986$	−21.0935	−	41.0503i	−0.671752	−	1.30731i
$987$	9.65939	−	11.5116i	0.307462	−	0.366419i
$988$	1.51236	+	19.6899i	0.0481146	+	0.626420i
$989$	−0.0551144	−	0.0954610i	−0.00175254	−	0.00303548i
$990$	−9.90153	−	7.68150i	−0.314691	−	0.244134i
$991$	−47.8587	+	12.8237i	−1.52028	+	0.407358i	−0.919835	−	0.392306i	$-0.871678\pi$
$991$	−47.8587	+	12.8237i	−1.52028	+	0.407358i	−0.600448	+	0.799664i	$0.705011\pi$
$992$	−3.99456	−	10.4168i	−0.126827	−	0.330733i
$993$	−20.8727	+	20.8727i	−0.662374	+	0.662374i
$994$	0.791711	−	16.1652i	0.0251116	−	0.512728i
$995$	8.37288	+	47.4850i	0.265438	+	1.50537i
$996$	71.5320	+	19.9826i	2.26658	+	0.633172i
$997$	−37.0937	+	3.24528i	−1.17477	+	0.102779i	−0.657779	−	0.753211i	$-0.728504\pi$
$997$	−37.0937	+	3.24528i	−1.17477	+	0.102779i	−0.516992	+	0.855990i	$0.672948\pi$
$998$	25.4795	+	13.4360i	0.806539	+	0.425310i
$999$	−8.39108	−	2.56554i	−0.265482	−	0.0811702i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.bj.a.19.14	yes	432
8.3	odd	2	inner	296.2.bj.a.19.10	✓	432
37.2	odd	36	inner	296.2.bj.a.187.10	yes	432
296.187	even	36	inner	296.2.bj.a.187.14	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.19.10	✓	432	8.3	odd	2	inner
296.2.bj.a.19.14	yes	432	1.1	even	1	trivial
296.2.bj.a.187.10	yes	432	37.2	odd	36	inner
296.2.bj.a.187.14	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+(-0.548118 + 1.30367i) q^{2} +(1.64673 + 1.96249i) q^{3} +(-1.39913 - 1.42914i) q^{4} +(-1.88463 + 0.878817i) q^{5} +(-3.46105 + 1.07112i) q^{6} +(-0.782841 + 2.15084i) q^{7} +(2.63002 - 1.04068i) q^{8} +(-0.618722 + 3.50895i) q^{9} +(-0.112691 - 2.93864i) q^{10} +(-1.03575 - 0.597988i) q^{11} +(0.500679 - 5.09918i) q^{12} +(-1.15000 - 0.805236i) q^{13} +(-2.37490 - 2.19948i) q^{14} +(-4.82814 - 2.25140i) q^{15} +(-0.0848578 + 3.99910i) q^{16} +(-3.90986 + 2.73772i) q^{17} +(-4.23539 - 2.72993i) q^{18} +(7.00654 + 0.612993i) q^{19} +(3.89279 + 1.46381i) q^{20} +(-5.51013 + 2.00552i) q^{21} +(1.34729 - 1.02251i) q^{22} +(-2.51585 - 0.674119i) q^{23} +(6.37324 + 3.44768i) q^{24} +(-0.434432 + 0.517736i) q^{25} +(1.68010 - 1.05786i) q^{26} +(-1.24926 + 0.721261i) q^{27} +(4.16914 - 1.89052i) q^{28} +(6.60431 - 1.76962i) q^{29} +(5.58148 - 5.06028i) q^{30} +(1.39455 + 1.39455i) q^{31} +(-5.16701 - 2.30261i) q^{32} +(-0.532043 - 3.01737i) q^{33} +(-1.42602 - 6.59778i) q^{34} +(-0.414828 - 4.74150i) q^{35} +(5.88044 - 4.02524i) q^{36} +(4.14837 + 4.44871i) q^{37} +(-4.63956 + 8.79825i) q^{38} +(-0.313460 - 3.58286i) q^{39} +(-4.04204 + 4.27259i) q^{40} +(-2.63539 + 0.464691i) q^{41} +(0.405655 - 8.28267i) q^{42} +(0.0299254 + 0.0299254i) q^{43} +(0.594539 + 2.31689i) q^{44} +(-1.91766 - 7.15681i) q^{45} +(2.25781 - 2.91035i) q^{46} +(-2.21941 + 1.28138i) q^{47} +(-7.98794 + 6.41889i) q^{48} +(1.34905 + 1.13198i) q^{49} +(-0.436838 - 0.850138i) q^{50} +(-11.8112 - 3.16481i) q^{51} +(0.458205 + 2.77013i) q^{52} +(4.18933 + 11.5101i) q^{53} +(-0.255546 - 2.02397i) q^{54} +(2.47752 + 0.216755i) q^{55} +(0.179442 + 6.47143i) q^{56} +(10.3349 + 14.7597i) q^{57} +(-1.31294 + 9.57984i) q^{58} +(-8.51880 - 3.97238i) q^{59} +(3.53765 + 10.0501i) q^{60} +(6.15485 - 8.79004i) q^{61} +(-2.58242 + 1.05366i) q^{62} +(-7.06282 - 4.07772i) q^{63} +(5.83398 - 5.47400i) q^{64} +(2.87497 + 0.506935i) q^{65} +(4.22528 + 0.960263i) q^{66} +(3.99923 - 10.9878i) q^{67} +(9.38298 + 1.75730i) q^{68} +(-2.81996 - 6.04742i) q^{69} +(6.40875 + 2.05811i) q^{70} +(3.21389 + 3.83017i) q^{71} +(2.02443 + 9.87248i) q^{72} +12.8468i q^{73} +(-8.07347 + 2.96970i) q^{74} -1.73144 q^{75} +(-8.92702 - 10.8710i) q^{76} +(2.09700 - 1.75959i) q^{77} +(4.84270 + 1.55518i) q^{78} +(7.01731 - 3.27223i) q^{79} +(-3.35455 - 7.61139i) q^{80} +(6.57194 + 2.39199i) q^{81} +(0.838702 - 3.69040i) q^{82} +(-2.51712 + 14.2753i) q^{83} +(10.5756 + 5.06873i) q^{84} +(4.96269 - 8.59563i) q^{85} +(-0.0554156 + 0.0226103i) q^{86} +(14.3484 + 10.0468i) q^{87} +(-3.34634 - 0.494843i) q^{88} +(4.38493 - 9.40352i) q^{89} +(10.3812 + 1.42277i) q^{90} +(2.63220 - 1.84308i) q^{91} +(2.55660 + 4.53867i) q^{92} +(-0.440352 + 5.03324i) q^{93} +(-0.453998 - 3.59573i) q^{94} +(-13.7434 + 5.00220i) q^{95} +(-3.98980 - 13.9320i) q^{96} +(-0.373741 + 1.39482i) q^{97} +(-2.21518 + 1.13826i) q^{98} +(2.73915 - 3.26439i) 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

Related objects

Downloads

Learn more