LMFDB - Embedded newform 296.2.bj.a.187.17

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			187.17
Character	$\chi$	$=$	296.187
Dual form			296.2.bj.a.19.17

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.203547 + 1.39949i) q^{2} +(-0.111309 + 0.132653i) q^{3} +(-1.91714 - 0.569723i) q^{4} +(-1.52536 - 0.711286i) q^{5} +(-0.162990 - 0.182777i) q^{6} +(-1.41720 - 3.89371i) q^{7} +(1.18755 - 2.56705i) q^{8} +(0.515737 + 2.92489i) q^{9} +(1.30592 - 1.98994i) q^{10} +(3.55947 - 2.05506i) q^{11} +(0.288971 - 0.190899i) q^{12} +(2.96023 - 2.07277i) q^{13} +(5.73767 - 1.19080i) q^{14} +(0.264141 - 0.123171i) q^{15} +(3.35083 + 2.18447i) q^{16} +(-6.54685 - 4.58415i) q^{17} +(-4.19833 + 0.126417i) q^{18} +(4.70513 - 0.411645i) q^{19} +(2.51908 + 2.23266i) q^{20} +(0.674261 + 0.245411i) q^{21} +(2.15152 + 5.39974i) q^{22} +(-3.03200 + 0.812421i) q^{23} +(0.208342 + 0.443268i) q^{24} +(-1.39315 - 1.66029i) q^{25} +(2.29828 + 4.56471i) q^{26} +(-0.895303 - 0.516904i) q^{27} +(0.498623 + 8.27219i) q^{28} +(-3.69768 - 0.990791i) q^{29} +(0.118611 + 0.394733i) q^{30} +(1.65127 - 1.65127i) q^{31} +(-3.73920 + 4.24481i) q^{32} +(-0.123592 + 0.700923i) q^{33} +(7.74806 - 8.22915i) q^{34} +(-0.607813 + 6.94734i) q^{35} +(0.677637 - 5.90125i) q^{36} +(-2.39392 - 5.59188i) q^{37} +(-0.381620 + 6.66856i) q^{38} +(-0.0545407 + 0.623403i) q^{39} +(-3.63734 + 3.07098i) q^{40} +(0.905476 + 0.159660i) q^{41} +(-0.480694 + 0.893668i) q^{42} +(2.46318 - 2.46318i) q^{43} +(-7.99481 + 1.91192i) q^{44} +(1.29375 - 4.82834i) q^{45} +(-0.519821 - 4.40861i) q^{46} +(5.70445 + 3.29346i) q^{47} +(-0.662757 + 0.201347i) q^{48} +(-7.79025 + 6.53680i) q^{49} +(2.60713 - 1.61175i) q^{50} +(1.33683 - 0.358202i) q^{51} +(-6.85607 + 2.28728i) q^{52} +(-1.89069 + 5.19464i) q^{53} +(0.905637 - 1.14775i) q^{54} +(-6.89120 + 0.602902i) q^{55} +(-11.6783 - 0.985960i) q^{56} +(-0.469119 + 0.669971i) q^{57} +(2.13925 - 4.97319i) q^{58} +(6.37122 - 2.97095i) q^{59} +(-0.576568 + 0.0856486i) q^{60} +(6.47649 + 9.24939i) q^{61} +(1.97482 + 2.64704i) q^{62} +(10.6578 - 6.15328i) q^{63} +(-5.17946 - 6.09698i) q^{64} +(-5.98974 + 1.05615i) q^{65} +(-0.955777 - 0.315636i) q^{66} +(-3.54253 - 9.73302i) q^{67} +(9.93951 + 12.5183i) q^{68} +(0.229719 - 0.492635i) q^{69} +(-9.59900 - 2.26473i) q^{70} +(1.54727 - 1.84397i) q^{71} +(8.12080 + 2.14953i) q^{72} +8.62675i q^{73} +(8.31305 - 2.21205i) q^{74} +0.375314 q^{75} +(-9.25490 - 1.89144i) q^{76} +(-13.0463 - 10.9471i) q^{77} +(-0.861344 - 0.203221i) q^{78} +(-11.8011 - 5.50296i) q^{79} +(-3.55743 - 5.71550i) q^{80} +(-8.20447 + 2.98618i) q^{81} +(-0.407749 + 1.23471i) q^{82} +(1.96520 + 11.1452i) q^{83} +(-1.15284 - 0.854629i) q^{84} +(6.72564 + 11.6491i) q^{85} +(2.94582 + 3.94857i) q^{86} +(0.543018 - 0.380226i) q^{87} +(-1.04840 - 11.5778i) q^{88} +(0.638532 + 1.36934i) q^{89} +(6.49387 + 2.79338i) q^{90} +(-12.2660 - 8.58875i) q^{91} +(6.27561 + 0.169874i) q^{92} +(0.0352446 + 0.402848i) q^{93} +(-5.77029 + 7.31294i) q^{94} +(-7.46980 - 2.71878i) q^{95} +(-0.146881 - 0.968504i) q^{96} +(-4.86625 - 18.1611i) q^{97} +(-7.56250 - 12.2329i) q^{98} +(7.84659 + 9.35120i) 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 $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

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

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 $

$2$	−0.203547	+	1.39949i	−0.143929	+	0.989588i
$2$	−0.203547	+	1.39949i	−0.143929	+	0.989588i
$3$	−0.111309	+	0.132653i	−0.0642645	+	0.0765874i	−0.797219	−	0.603690i	$-0.793696\pi$
$3$	−0.111309	+	0.132653i	−0.0642645	+	0.0765874i	0.732954	+	0.680278i	$0.238141\pi$
$4$	−1.91714	−	0.569723i	−0.958569	−	0.284861i
$5$	−1.52536	−	0.711286i	−0.682160	−	0.318097i	0.0504678	−	0.998726i	$-0.483929\pi$
$5$	−1.52536	−	0.711286i	−0.682160	−	0.318097i	−0.732628	+	0.680629i	$0.761707\pi$
$6$	−0.162990	−	0.182777i	−0.0665405	−	0.0746185i
$7$	−1.41720	−	3.89371i	−0.535650	−	1.47169i	−0.852254	−	0.523128i	$-0.824765\pi$
$7$	−1.41720	−	3.89371i	−0.535650	−	1.47169i	0.316604	−	0.948558i	$-0.397457\pi$
$8$	1.18755	−	2.56705i	0.419861	−	0.907588i
$9$	0.515737	+	2.92489i	0.171912	+	0.974964i
$10$	1.30592	−	1.98994i	0.412967	−	0.629274i
$11$	3.55947	−	2.05506i	1.07322	−	0.619624i	0.144161	−	0.989554i	$-0.453952\pi$
$11$	3.55947	−	2.05506i	1.07322	−	0.619624i	0.929060	+	0.369930i	$0.120618\pi$
$12$	0.288971	−	0.190899i	0.0834187	−	0.0551079i
$13$	2.96023	−	2.07277i	0.821019	−	0.574884i	−0.0858443	−	0.996309i	$-0.527359\pi$
$13$	2.96023	−	2.07277i	0.821019	−	0.574884i	0.906863	+	0.421425i	$0.138470\pi$
$14$	5.73767	−	1.19080i	1.53346	−	0.318254i
$15$	0.264141	−	0.123171i	0.0682009	−	0.0318026i
$16$	3.35083	+	2.18447i	0.837708	+	0.546118i
$17$	−6.54685	−	4.58415i	−1.58784	−	1.11182i	−0.935180	−	0.354172i	$-0.884763\pi$
$17$	−6.54685	−	4.58415i	−1.58784	−	1.11182i	−0.652664	−	0.757648i	$-0.726348\pi$
$18$	−4.19833	+	0.126417i	−0.989556	+	0.0297967i
$19$	4.70513	−	0.411645i	1.07943	−	0.0944379i	0.466459	−	0.884543i	$-0.345530\pi$
$19$	4.70513	−	0.411645i	1.07943	−	0.0944379i	0.612972	+	0.790105i	$0.289974\pi$
$20$	2.51908	+	2.23266i	0.563284	+	0.499239i
$21$	0.674261	+	0.245411i	0.147136	+	0.0535531i
$22$	2.15152	+	5.39974i	0.458705	+	1.15123i
$23$	−3.03200	+	0.812421i	−0.632215	+	0.169402i	−0.560675	−	0.828036i	$-0.689458\pi$
$23$	−3.03200	+	0.812421i	−0.632215	+	0.169402i	−0.0715405	+	0.997438i	$0.522792\pi$
$24$	0.208342	+	0.443268i	0.0425277	+	0.0904818i
$25$	−1.39315	−	1.66029i	−0.278630	−	0.332059i
$26$	2.29828	+	4.56471i	0.450729	+	0.895213i
$27$	−0.895303	−	0.516904i	−0.172301	−	0.0994781i
$28$	0.498623	+	8.27219i	0.0942309	+	1.56330i
$29$	−3.69768	−	0.990791i	−0.686642	−	0.183985i	−0.101402	−	0.994845i	$-0.532333\pi$
$29$	−3.69768	−	0.990791i	−0.686642	−	0.183985i	−0.585240	+	0.810860i	$0.699000\pi$
$30$	0.118611	+	0.394733i	0.0216554	+	0.0720681i
$31$	1.65127	−	1.65127i	0.296577	−	0.296577i	−0.543095	−	0.839671i	$-0.682748\pi$
$31$	1.65127	−	1.65127i	0.296577	−	0.296577i	0.839671	+	0.543095i	$0.182748\pi$
$32$	−3.73920	+	4.24481i	−0.661003	+	0.750384i
$33$	−0.123592	+	0.700923i	−0.0215145	+	0.122015i
$34$	7.74806	−	8.22915i	1.32878	−	1.41129i
$35$	−0.607813	+	6.94734i	−0.102739	+	1.17431i
$36$	0.677637	−	5.90125i	0.112940	−	0.983541i
$37$	−2.39392	−	5.59188i	−0.393558	−	0.919300i
$37$	−2.39392	−	5.59188i	−0.393558	−	0.919300i
$38$	−0.381620	+	6.66856i	−0.0619070	+	1.08178i
$39$	−0.0545407	+	0.623403i	−0.00873350	+	0.0998244i
$40$	−3.63734	+	3.07098i	−0.575114	+	0.485564i
$41$	0.905476	+	0.159660i	0.141412	+	0.0249347i	0.243906	−	0.969799i	$-0.421571\pi$
$41$	0.905476	+	0.159660i	0.141412	+	0.0249347i	−0.102494	+	0.994734i	$0.532682\pi$
$42$	−0.480694	+	0.893668i	−0.0741726	+	0.137896i
$43$	2.46318	−	2.46318i	0.375632	−	0.375632i	−0.493892	−	0.869523i	$-0.664426\pi$
$43$	2.46318	−	2.46318i	0.375632	−	0.375632i	0.869523	+	0.493892i	$0.164426\pi$
$44$	−7.99481	+	1.91192i	−1.20526	+	0.288233i
$45$	1.29375	−	4.82834i	0.192861	−	0.719767i
$46$	−0.519821	−	4.40861i	−0.0766435	−	0.650014i
$47$	5.70445	+	3.29346i	0.832079	+	0.480401i	0.854564	−	0.519346i	$-0.173824\pi$
$47$	5.70445	+	3.29346i	0.832079	+	0.480401i	−0.0224849	+	0.999747i	$0.507158\pi$
$48$	−0.662757	+	0.201347i	−0.0956607	+	0.0290619i
$49$	−7.79025	+	6.53680i	−1.11289	+	0.933828i
$50$	2.60713	−	1.61175i	0.368704	−	0.227936i
$51$	1.33683	−	0.358202i	0.187193	−	0.0501583i
$52$	−6.85607	+	2.28728i	−0.950765	+	0.317189i
$53$	−1.89069	+	5.19464i	−0.259707	+	0.713538i	0.739479	+	0.673180i	$0.235072\pi$
$53$	−1.89069	+	5.19464i	−0.259707	+	0.713538i	−0.999185	+	0.0403583i	$0.987150\pi$
$54$	0.905637	−	1.14775i	0.123242	−	0.156189i
$55$	−6.89120	+	0.602902i	−0.929209	+	0.0812953i
$56$	−11.6783	−	0.985960i	−1.56058	−	0.131754i
$57$	−0.469119	+	0.669971i	−0.0621363	+	0.0887398i
$58$	2.13925	−	4.97319i	0.280897	−	0.653012i
$59$	6.37122	−	2.97095i	0.829463	−	0.386785i	0.0389580	−	0.999241i	$-0.487596\pi$
$59$	6.37122	−	2.97095i	0.829463	−	0.386785i	0.790505	+	0.612456i	$0.209818\pi$
$60$	−0.576568	+	0.0856486i	−0.0744346	+	0.0110572i
$61$	6.47649	+	9.24939i	0.829230	+	1.18426i	0.980645	+	0.195793i	$0.0627279\pi$
$61$	6.47649	+	9.24939i	0.829230	+	1.18426i	−0.151416	+	0.988470i	$0.548383\pi$
$62$	1.97482	+	2.64704i	0.250803	+	0.336175i
$63$	10.6578	−	6.15328i	1.34276	−	0.775240i
$64$	−5.17946	−	6.09698i	−0.647433	−	0.762122i
$65$	−5.98974	+	1.05615i	−0.742935	+	0.131000i
$66$	−0.955777	−	0.315636i	−0.117648	−	0.0388521i
$67$	−3.54253	−	9.73302i	−0.432789	−	1.18908i	−0.944093	−	0.329678i	$-0.893060\pi$
$67$	−3.54253	−	9.73302i	−0.432789	−	1.18908i	0.511304	−	0.859400i	$-0.329162\pi$
$68$	9.93951	+	12.5183i	1.20534	+	1.51807i
$69$	0.229719	−	0.492635i	0.0276550	−	0.0593062i
$70$	−9.59900	−	2.26473i	−1.14730	−	0.270688i
$71$	1.54727	−	1.84397i	0.183628	−	0.218839i	−0.666376	−	0.745616i	$-0.732155\pi$
$71$	1.54727	−	1.84397i	0.183628	−	0.218839i	0.850003	+	0.526777i	$0.176600\pi$
$72$	8.12080	+	2.14953i	0.957045	+	0.253324i
$73$			8.62675i			1.00968i	0.863212	+	0.504842i	$0.168449\pi$
$73$			8.62675i			1.00968i	−0.863212	+	0.504842i	$0.831551\pi$
$74$	8.31305	−	2.21205i	0.966373	−	0.257146i
$75$	0.375314			0.0433375
$76$	−9.25490	−	1.89144i	−1.06161	−	0.216963i
$77$	−13.0463	−	10.9471i	−1.48676	−	1.24754i
$78$	−0.861344	−	0.203221i	−0.0975280	−	0.0230102i
$79$	−11.8011	−	5.50296i	−1.32773	−	0.619131i	−0.376158	−	0.926555i	$-0.622755\pi$
$79$	−11.8011	−	5.50296i	−1.32773	−	0.619131i	−0.951572	+	0.307425i	$0.900533\pi$
$80$	−3.55743	−	5.71550i	−0.397733	−	0.639012i
$81$	−8.20447	+	2.98618i	−0.911608	+	0.331798i
$82$	−0.407749	+	1.23471i	−0.0450283	+	0.136350i
$83$	1.96520	+	11.1452i	0.215709	+	1.22335i	0.879672	+	0.475581i	$0.157762\pi$
$83$	1.96520	+	11.1452i	0.215709	+	1.22335i	−0.663963	+	0.747765i	$0.731127\pi$
$84$	−1.15284	−	0.854629i	−0.125785	−	0.0932476i
$85$	6.72564	+	11.6491i	0.729498	+	1.26353i
$86$	2.94582	+	3.94857i	0.317656	+	0.425785i
$87$	0.543018	−	0.380226i	0.0582177	−	0.0407645i
$88$	−1.04840	−	11.5778i	−0.111760	−	1.23420i
$89$	0.638532	+	1.36934i	0.0676843	+	0.145149i	0.937239	−	0.348686i	$-0.113372\pi$
$89$	0.638532	+	1.36934i	0.0676843	+	0.145149i	−0.869555	+	0.493836i	$0.835594\pi$
$90$	6.49387	+	2.79338i	0.684514	+	0.294448i
$91$	−12.2660	−	8.58875i	−1.28583	−	0.900346i
$92$	6.27561	+	0.169874i	0.654278	+	0.0177106i
$93$	0.0352446	+	0.402848i	0.00365470	+	0.0417734i
$94$	−5.77029	+	7.31294i	−0.595160	+	0.754272i
$95$	−7.46980	−	2.71878i	−0.766385	−	0.278941i
$96$	−0.146881	−	0.968504i	−0.0149909	−	0.0988475i
$97$	−4.86625	−	18.1611i	−0.494093	−	1.84398i	−0.535054	−	0.844818i	$-0.679709\pi$
$97$	−4.86625	−	18.1611i	−0.494093	−	1.84398i	0.0409615	−	0.999161i	$-0.486958\pi$
$98$	−7.56250	−	12.2329i	−0.763927	−	1.23571i
$99$	7.84659	+	9.35120i	0.788611	+	0.939831i
$100$	1.72496	+	3.97672i	0.172496	+	0.397672i
$101$	−5.76648	+	9.98784i	−0.573786	+	0.993827i	0.422386	+	0.906416i	$0.361193\pi$
$101$	−5.76648	+	9.98784i	−0.573786	+	0.993827i	−0.996172	+	0.0874109i	$0.972141\pi$
$102$	0.229193	+	1.94379i	0.0226935	+	0.192464i
$103$	13.3880	+	3.58731i	1.31916	+	0.353468i	0.848663	−	0.528934i	$-0.177408\pi$
$103$	13.3880	+	3.58731i	1.31916	+	0.353468i	0.470496	+	0.882402i	$0.344075\pi$
$104$	−1.80550	−	10.0606i	−0.177044	−	0.986519i
$105$	−0.853932	−	0.853932i	−0.0833352	−	0.0833352i
$106$	−6.88499	−	3.70336i	−0.668730	−	0.359702i
$107$	−0.519518	+	2.94633i	−0.0502237	+	0.284833i	−0.999568	−	0.0294064i	$-0.990638\pi$
$107$	−0.519518	+	2.94633i	−0.0502237	+	0.284833i	0.949344	+	0.314239i	$0.101749\pi$
$108$	1.42193	+	1.50105i	0.136825	+	0.144439i
$109$	13.0986	+	1.14598i	1.25462	+	0.109765i	0.695015	−	0.718995i	$-0.255398\pi$
$109$	13.0986	+	1.14598i	1.25462	+	0.109765i	0.559604	+	0.828760i	$0.310953\pi$
$110$	0.558926	−	9.76688i	0.0532915	−	0.931235i
$111$	1.00825	+	0.304868i	0.0956986	+	0.0289368i
$112$	3.75693	−	16.1430i	0.354996	−	1.52537i
$113$	9.75252	+	0.853235i	0.917440	+	0.0802656i	0.536086	−	0.844164i	$-0.319902\pi$
$113$	9.75252	+	0.853235i	0.917440	+	0.0802656i	0.381354	+	0.924429i	$0.375458\pi$
$114$	−0.842129	−	0.792897i	−0.0788726	−	0.0742616i
$115$	5.20274	+	0.917384i	0.485158	+	0.0855465i
$116$	6.52449	+	4.00614i	0.605784	+	0.371960i
$117$	7.58934	+	7.58934i	0.701634	+	0.701634i
$118$	2.86097	+	9.52118i	0.263374	+	0.876496i
$119$	−8.57121	+	31.9882i	−0.785722	+	2.93235i
$120$	−0.00250578	−	0.824334i	−0.000228746	−	0.0752510i
$121$	2.94655	−	5.10358i	0.267869	−	0.463962i
$122$	−14.2627	+	7.18109i	−1.29128	+	0.650146i
$123$	−0.121967	+	0.102343i	−0.0109974	+	0.00922794i
$124$	−4.10648	+	2.22495i	−0.368772	+	0.199806i
$125$	3.12213	+	11.6520i	0.279252	+	1.04218i
$126$	6.44209	+	16.1679i	0.573907	+	1.44035i
$127$	−1.39424	+	3.83064i	−0.123719	+	0.339914i	−0.986055	−	0.166423i	$-0.946778\pi$
$127$	−1.39424	+	3.83064i	−0.123719	+	0.339914i	0.862336	+	0.506337i	$0.169001\pi$
$128$	9.58692	−	6.00758i	0.847372	−	0.531000i
$129$	0.0525741	+	0.600924i	0.00462889	+	0.0529084i
$130$	−0.258882	−	8.59754i	−0.0227055	−	0.754055i
$131$	4.43674	−	6.33633i	0.387640	−	0.553607i	−0.577147	−	0.816640i	$-0.695834\pi$
$131$	4.43674	−	6.33633i	0.387640	−	0.553607i	0.964787	+	0.263033i	$0.0847228\pi$
$132$	0.636274	−	1.27335i	0.0553805	−	0.110831i
$133$	−8.27092	−	17.7370i	−0.717180	−	1.53800i
$134$	14.3423	−	2.97661i	1.23899	−	0.257140i
$135$	0.997991	+	1.42528i	0.0858934	+	0.122668i
$136$	−19.5424	+	11.3622i	−1.67575	+	0.974298i
$137$	3.33734	+	5.78044i	0.285128	+	0.493856i	0.972640	−	0.232316i	$-0.0746305\pi$
$137$	3.33734	+	5.78044i	0.285128	+	0.493856i	−0.687512	+	0.726173i	$0.741297\pi$
$138$	0.642678	+	0.421764i	0.0547084	+	0.0359029i
$139$	16.1188	−	2.84218i	1.36718	−	0.241071i	0.558591	−	0.829443i	$-0.311342\pi$
$139$	16.1188	−	2.84218i	1.36718	−	0.241071i	0.808590	+	0.588372i	$0.200231\pi$
$140$	5.12332	−	12.9727i	0.432999	−	1.09639i
$141$	−1.07185	+	0.390120i	−0.0902658	+	0.0328541i
$142$	2.26567	+	2.54072i	0.190131	+	0.213213i
$143$	6.27716	−	13.4614i	0.524923	−	1.12570i
$144$	−4.66120	+	10.9274i	−0.388433	+	0.910620i
$145$	4.93555	+	4.14142i	0.409875	+	0.343926i
$146$	−12.0730	−	1.75595i	−0.999171	−	0.145323i
$147$		−	1.76101i		−	0.145246i
$148$	1.40365	+	12.0843i	0.115379	+	0.993322i
$149$		−	11.7973i		−	0.966471i	−0.875491	−	0.483235i	$-0.839462\pi$
$149$		−	11.7973i		−	0.966471i	0.875491	−	0.483235i	$-0.160538\pi$
$150$	−0.0763939	+	0.525248i	−0.00623754	+	0.0428863i
$151$	10.6077	+	8.90095i	0.863246	+	0.724349i	0.962665	−	0.270697i	$-0.0872540\pi$
$151$	10.6077	+	8.90095i	0.863246	+	0.724349i	−0.0994192	+	0.995046i	$0.531698\pi$
$152$	4.53085	−	12.5671i	0.367500	−	1.01933i
$153$	10.0317	−	21.5130i	0.811015	−	1.73923i
$154$	17.9759	−	16.0299i	1.44854	−	1.29172i
$155$	−3.69330	+	1.34425i	−0.296653	+	0.107973i
$156$	0.459729	−	1.16408i	0.0368078	−	0.0932007i
$157$	6.33607	−	1.11722i	0.505673	−	0.0891639i	0.0850090	−	0.996380i	$-0.472908\pi$
$157$	6.33607	−	1.11722i	0.505673	−	0.0891639i	0.420664	+	0.907216i	$0.361797\pi$
$158$	10.1034	−	15.3954i	0.803784	−	1.22480i
$159$	−0.478634	−	0.829019i	−0.0379582	−	0.0657455i
$160$	8.72288	−	3.81521i	0.689604	−	0.301619i
$161$	7.46027	+	10.6544i	0.587952	+	0.839682i
$162$	−2.50914	−	12.0899i	−0.197137	−	0.949872i
$163$	−6.39729	−	13.7190i	−0.501074	−	1.07456i	−0.980418	−	0.196930i	$-0.936903\pi$
$163$	−6.39729	−	13.7190i	−0.501074	−	1.07456i	0.479344	−	0.877627i	$-0.340875\pi$
$164$	−1.64496	−	0.821960i	−0.128450	−	0.0641843i
$165$	0.687078	−	0.981249i	0.0534890	−	0.0763902i
$166$	−15.9976	+	0.481707i	−1.24166	+	0.0373877i
$167$	1.09289	+	12.4917i	0.0845700	+	0.966640i	0.913380	+	0.407109i	$0.133463\pi$
$167$	1.09289	+	12.4917i	0.0845700	+	0.966640i	−0.828810	+	0.559531i	$0.810981\pi$
$168$	1.43070	−	1.43942i	0.110381	−	0.111054i
$169$	0.0202912	−	0.0557496i	0.00156086	−	0.00428843i
$170$	−17.6718	+	7.04131i	−1.35537	+	0.540044i
$171$	3.63063	+	13.5497i	0.277641	+	1.03617i
$172$	−6.12559	+	3.31893i	−0.467072	+	0.253066i
$173$	−4.19777	+	3.52235i	−0.319151	+	0.267799i	−0.788262	−	0.615340i	$-0.789019\pi$
$173$	−4.19777	+	3.52235i	−0.319151	+	0.267799i	0.469111	+	0.883139i	$0.344574\pi$
$174$	0.421592	+	0.837342i	0.0319608	+	0.0634787i
$175$	−4.49034	+	7.77749i	−0.339438	+	0.587923i
$176$	16.4164	+	0.889401i	1.23743	+	0.0670411i
$177$	−0.315070	+	1.17586i	−0.0236821	+	0.0883829i
$178$	−2.04634	+	0.614895i	−0.153380	+	0.0460883i
$179$	−3.77517	−	3.77517i	−0.282169	−	0.282169i	0.551804	−	0.833974i	$-0.313940\pi$
$179$	−3.77517	−	3.77517i	−0.282169	−	0.282169i	−0.833974	+	0.551804i	$0.813940\pi$
$180$	−5.23111	+	8.51952i	−0.389904	+	0.635007i
$181$	4.31370	+	0.760622i	0.320635	+	0.0565366i	0.331649	−	0.943403i	$-0.392395\pi$
$181$	4.31370	+	0.760622i	0.320635	+	0.0565366i	−0.0110143	+	0.999939i	$0.503506\pi$
$182$	14.5166	−	15.4179i	1.07604	−	1.14285i
$183$	−1.94786	−	0.170415i	−0.143990	−	0.0125975i
$184$	−1.51512	+	8.74807i	−0.111696	+	0.644916i
$185$	−0.325849	+	10.2324i	−0.0239569	+	0.752299i
$186$	−0.570955	−	0.0326739i	−0.0418645	−	0.00239577i
$187$	−32.7240	−	2.86298i	−2.39302	−	0.209362i
$188$	−9.05985	−	9.56398i	−0.660757	−	0.697525i
$189$	−0.743854	+	4.21861i	−0.0541074	+	0.306859i
$190$	5.32536	−	9.90050i	0.386342	−	0.718258i
$191$	−9.48615	−	9.48615i	−0.686394	−	0.686394i	0.275039	−	0.961433i	$-0.411309\pi$
$191$	−9.48615	−	9.48615i	−0.686394	−	0.686394i	−0.961433	+	0.275039i	$0.911309\pi$
$192$	1.38531	−	0.00842210i	0.0999759	−	0.000607813i
$193$	13.6347	+	3.65341i	0.981448	+	0.262978i	0.713654	−	0.700498i	$-0.247039\pi$
$193$	13.6347	+	3.65341i	0.981448	+	0.262978i	0.267793	+	0.963476i	$0.413706\pi$
$194$	26.4067	−	3.11363i	1.89589	−	0.223546i
$195$	0.526612	−	0.912118i	0.0377114	−	0.0653181i
$196$	18.6591	−	8.09366i	1.33280	−	0.578118i
$197$	4.95430	+	5.90431i	0.352980	+	0.420665i	0.913093	−	0.407751i	$-0.133687\pi$
$197$	4.95430	+	5.90431i	0.352980	+	0.420665i	−0.560113	+	0.828416i	$0.689242\pi$
$198$	−14.6840	+	9.07780i	−1.04355	+	0.645131i
$199$	−0.174761	−	0.652217i	−0.0123885	−	0.0462344i	0.959455	−	0.281862i	$-0.0909521\pi$
$199$	−0.174761	−	0.652217i	−0.0123885	−	0.0462344i	−0.971843	+	0.235628i	$0.924285\pi$
$200$	−5.91648	+	1.60461i	−0.418358	+	0.113463i
$201$	1.68543	+	0.613448i	0.118881	+	0.0432693i
$202$	−12.8041	−	10.1031i	−0.900895	−	0.710853i
$203$	1.38248	+	15.8019i	0.0970313	+	1.10907i
$204$	−2.76696	−	0.0748986i	−0.193726	−	0.00524395i
$205$	−1.26761	−	0.887590i	−0.0885338	−	0.0619920i
$206$	−7.74548	+	18.0062i	−0.539653	+	1.25455i
$207$	−3.93996	−	8.44927i	−0.273846	−	0.587265i
$208$	14.4471	−	0.478980i	1.00173	−	0.0332113i
$209$	15.9018	−	11.1346i	1.09995	−	0.770194i
$210$	1.36888	−	1.02125i	0.0944619	−	0.0704732i
$211$	0.860972	+	1.49125i	0.0592717	+	0.102662i	0.894139	−	0.447790i	$-0.147789\pi$
$211$	0.860972	+	1.49125i	0.0592717	+	0.102662i	−0.834867	+	0.550452i	$0.814455\pi$
$212$	6.58422	−	8.88167i	0.452206	−	0.609995i
$213$	0.0723825	+	0.410502i	0.00495957	+	0.0281271i
$214$	−4.01762	−	1.32678i	−0.274639	−	0.0906966i
$215$	−5.50926	+	2.00521i	−0.375728	+	0.136754i
$216$	−2.39013	+	1.68444i	−0.162628	+	0.114611i
$217$	−8.76974	−	4.08940i	−0.595329	−	0.277606i
$218$	−4.26996	+	18.0981i	−0.289198	+	1.22576i
$219$	−1.14437	−	0.960238i	−0.0773291	−	0.0648868i
$220$	13.5549	+	2.77023i	0.913869	+	0.186769i
$221$	−28.8821			−1.94282
$222$	−0.631885	+	1.34898i	−0.0424093	+	0.0905373i
$223$		−	12.8624i		−	0.861333i	−0.902511	−	0.430666i	$-0.858279\pi$
$223$		−	12.8624i		−	0.861333i	0.902511	−	0.430666i	$-0.141721\pi$
$224$	21.8272	+	8.54363i	1.45839	+	0.570845i
$225$	4.13768	−	4.93109i	0.275845	−	0.328739i
$226$	−3.17919	+	13.4749i	−0.211476	+	0.896335i
$227$	−3.27317	+	7.01933i	−0.217248	+	0.465889i	−0.984484	−	0.175475i	$-0.943854\pi$
$227$	−3.27317	+	7.01933i	−0.217248	+	0.465889i	0.767236	+	0.641365i	$0.221632\pi$
$228$	1.28106	−	1.01716i	0.0848404	−	0.0673630i
$229$	−2.56882	−	7.05778i	−0.169752	−	0.466391i	0.825422	−	0.564517i	$-0.190937\pi$
$229$	−2.56882	−	7.05778i	−0.169752	−	0.466391i	−0.995174	+	0.0981258i	$0.968715\pi$
$230$	−2.34287	+	7.09445i	−0.154484	+	0.467794i
$231$	2.90435	−	0.512115i	0.191092	−	0.0336947i
$232$	−6.93458	+	8.31551i	−0.455277	+	0.545940i
$233$	−18.2705	+	10.5485i	−1.19694	+	0.691055i	−0.959872	−	0.280438i	$-0.909520\pi$
$233$	−18.2705	+	10.5485i	−1.19694	+	0.691055i	−0.237070	+	0.971493i	$0.576187\pi$
$234$	−12.1660	+	9.07641i	−0.795315	+	0.593343i
$235$	−6.35872	−	9.08120i	−0.414797	−	0.592392i
$236$	−13.9071	+	2.06589i	−0.905277	+	0.134478i
$237$	2.04356	−	0.952928i	0.132744	−	0.0618993i
$238$	−43.0225	−	18.5064i	−2.78873	−	1.19959i
$239$	14.9024	−	21.2828i	0.963957	−	1.37667i	0.0379031	−	0.999281i	$-0.487932\pi$
$239$	14.9024	−	21.2828i	0.963957	−	1.37667i	0.926054	−	0.377392i	$-0.123179\pi$
$240$	1.15416	+	0.164284i	0.0745004	+	0.0106045i
$241$	−6.55010	+	0.573059i	−0.421929	+	0.0369140i	−0.296143	−	0.955143i	$-0.595701\pi$
$241$	−6.55010	+	0.573059i	−0.421929	+	0.0369140i	−0.125785	+	0.992057i	$0.540145\pi$
$242$	6.54265	+	5.16249i	0.420577	+	0.331857i
$243$	1.57786	−	4.33512i	0.101220	−	0.278098i
$244$	−7.14674	−	21.4222i	−0.457523	−	1.37141i
$245$	16.5324	−	4.42986i	1.05622	−	0.283013i
$246$	−0.118402	−	0.191523i	−0.00754900	−	0.0122111i
$247$	13.0750	−	10.9712i	0.831942	−	0.698082i
$248$	−2.27793	−	6.19985i	−0.144648	−	0.393691i
$249$	−1.69719	−	0.979876i	−0.107555	−	0.0620971i
$250$	−16.9423	+	1.99767i	−1.07152	+	0.126344i
$251$	−0.159294	+	0.594491i	−0.0100545	+	0.0375240i	−0.970771	−	0.240008i	$-0.922850\pi$
$251$	−0.159294	+	0.594491i	−0.0100545	+	0.0375240i	0.960716	+	0.277532i	$0.0895165\pi$
$252$	−23.9381	+	5.72470i	−1.50796	+	0.360622i
$253$	−9.12273	+	9.12273i	−0.573541	+	0.573541i
$254$	−5.07714	−	2.73093i	−0.318568	−	0.171354i
$255$	−2.29392	−	0.404481i	−0.143651	−	0.0253296i
$256$	6.45616	+	14.6396i	0.403510	+	0.914975i
$257$	1.51802	−	17.3510i	0.0946912	−	1.08233i	−0.789044	−	0.614337i	$-0.789423\pi$
$257$	1.51802	−	17.3510i	0.0946912	−	1.08233i	0.883735	−	0.467988i	$-0.155021\pi$
$258$	−0.851688	−	0.0487393i	−0.0530238	−	0.00303438i
$259$	−18.3805	+	17.2460i	−1.14211	+	1.07162i
$260$	12.0849	+	1.38770i	0.749471	+	0.0860614i
$261$	0.990924	−	11.3263i	0.0613366	−	0.701081i
$262$	7.96453	+	7.49891i	0.492051	+	0.463284i
$263$	1.85142	−	10.4999i	0.114163	−	0.647453i	−0.872998	−	0.487724i	$-0.837827\pi$
$263$	1.85142	−	10.4999i	0.114163	−	0.647453i	0.987161	−	0.159728i	$-0.0510618\pi$
$264$	1.65253	+	1.14965i	0.101706	+	0.0707558i
$265$	6.57886	−	6.57886i	0.404136	−	0.404136i
$266$	26.5063	−	7.96474i	1.62521	−	0.488350i
$267$	−0.252722	−	0.0677166i	−0.0154663	−	0.00414419i
$268$	1.24640	+	20.6778i	0.0761357	+	1.26310i
$269$	8.70453	+	5.02556i	0.530725	+	0.306414i	0.741312	−	0.671161i	$-0.234204\pi$
$269$	8.70453	+	5.02556i	0.530725	+	0.306414i	−0.210587	+	0.977575i	$0.567537\pi$
$270$	−2.19780	+	1.10657i	−0.133754	+	0.0673435i
$271$	3.55765	+	4.23984i	0.216112	+	0.257552i	0.863199	−	0.504864i	$-0.168457\pi$
$271$	3.55765	+	4.23984i	0.216112	+	0.257552i	−0.647087	+	0.762416i	$0.724013\pi$
$272$	−11.9234	−	29.6621i	−0.722964	−	1.79853i
$273$	2.50465	−	0.671118i	0.151588	−	0.0406179i
$274$	−8.76897	+	3.49398i	−0.529753	+	0.211079i
$275$	−8.37088	−	3.04675i	−0.504783	−	0.183726i
$276$	−0.721069	+	0.813572i	−0.0434032	+	0.0489713i
$277$	−19.7199	+	1.72527i	−1.18486	+	0.103661i	−0.662497	−	0.749064i	$-0.730503\pi$
$277$	−19.7199	+	1.72527i	−1.18486	+	0.103661i	−0.522359	+	0.852726i	$0.674948\pi$
$278$	0.696671	+	23.1366i	0.0417836	+	1.38764i
$279$	5.68141	+	3.97816i	0.340137	+	0.238166i
$280$	17.1123	+	9.81057i	1.02266	+	0.586294i
$281$	5.29350	−	2.46840i	0.315784	−	0.147252i	−0.258264	−	0.966074i	$-0.583150\pi$
$281$	5.29350	−	2.46840i	0.315784	−	0.147252i	0.574047	+	0.818822i	$0.305373\pi$
$282$	−0.327798	−	1.57945i	−0.0195201	−	0.0940546i
$283$	16.4435	−	11.5139i	0.977464	−	0.684428i	0.0284281	−	0.999596i	$-0.490950\pi$
$283$	16.4435	−	11.5139i	0.977464	−	0.684428i	0.949036	+	0.315168i	$0.102061\pi$
$284$	−4.01689	+	2.65362i	−0.238358	+	0.157464i
$285$	1.19211	−	0.688267i	0.0706147	−	0.0407694i
$286$	17.5614	+	11.5248i	1.03843	+	0.681479i
$287$	−0.661567	−	3.75193i	−0.0390511	−	0.221470i
$288$	−14.3441	−	8.74754i	−0.845232	−	0.515454i
$289$	16.0324	+	44.0487i	0.943084	+	2.59110i
$290$	−6.80048	+	6.06428i	−0.399338	+	0.356107i
$291$	2.95079	+	1.37597i	0.172978	+	0.0806611i
$292$	4.91485	−	16.5387i	0.287620	−	0.967852i
$293$	2.26950	−	2.70469i	0.132586	−	0.158010i	−0.695667	−	0.718365i	$-0.744891\pi$
$293$	2.26950	−	2.70469i	0.132586	−	0.158010i	0.828252	+	0.560355i	$0.189335\pi$
$294$	2.46451	+	0.358448i	0.143733	+	0.0209051i
$295$	−11.8316			−0.688861
$296$	−17.1975	−	0.495328i	−0.999585	−	0.0287904i
$297$	−4.24907			−0.246556
$298$	16.5102	+	2.40130i	0.956408	+	0.139103i
$299$	−7.29143	+	8.68959i	−0.421675	+	0.502532i
$300$	−0.719529	−	0.213825i	−0.0415420	−	0.0123452i
$301$	−13.0817	−	6.10011i	−0.754018	−	0.351605i
$302$	−14.6159	+	13.0337i	−0.841053	+	0.750002i
$303$	−0.683057	−	1.87668i	−0.0392406	−	0.107813i
$304$	16.6653	+	8.89887i	0.955822	+	0.510385i
$305$	−3.30000	−	18.7153i	−0.188958	−	1.07163i
$306$	28.0653	+	18.4182i	1.60439	+	1.05290i
$307$	−19.2926	+	11.1386i	−1.10109	+	0.635714i	−0.936507	−	0.350650i	$-0.885961\pi$
$307$	−19.2926	+	11.1386i	−1.10109	+	0.635714i	−0.164582	+	0.986363i	$0.552627\pi$
$308$	18.7747	+	28.4199i	1.06979	+	1.61938i
$309$	−1.96608	+	1.37666i	−0.111846	+	0.0783156i
$310$	−1.12951	−	5.44235i	−0.0641516	−	0.309105i
$311$	−16.4241	+	7.65869i	−0.931326	+	0.434285i	−0.828231	−	0.560387i	$-0.810652\pi$
$311$	−16.4241	+	7.65869i	−0.931326	+	0.434285i	−0.103095	+	0.994671i	$0.532875\pi$
$312$	1.53554	+	0.880329i	0.0869326	+	0.0498388i
$313$	1.93227	+	1.35299i	0.109218	+	0.0764756i	0.626910	−	0.779092i	$-0.284320\pi$
$313$	1.93227	+	1.35299i	0.109218	+	0.0764756i	−0.517691	+	0.855568i	$0.673208\pi$
$314$	0.273851	+	9.09466i	0.0154543	+	0.513242i
$315$	−20.6337	+	1.80521i	−1.16258	+	0.101712i
$316$	19.4892	+	17.2733i	1.09635	+	0.971699i
$317$	18.2340	+	6.63663i	1.02412	+	0.372750i	0.798840	−	0.601543i	$-0.205447\pi$
$317$	18.2340	+	6.63663i	1.02412	+	0.372750i	0.225283	+	0.974293i	$0.427669\pi$
$318$	1.25763	−	0.501099i	0.0705242	−	0.0281002i
$319$	−15.1979	+	4.07227i	−0.850921	+	0.228003i
$320$	3.56384	+	12.9842i	0.199225	+	0.725836i
$321$	−0.333014	−	0.396870i	−0.0185870	−	0.0221511i
$322$	−16.4292	+	8.27190i	−0.915563	+	0.460975i
$323$	−32.6908	−	18.8740i	−1.81896	−	1.05018i
$324$	17.4304	−	1.05065i	0.968356	−	0.0583696i
$325$	−7.56545	−	2.02716i	−0.419656	−	0.112446i
$326$	20.5018	−	6.16047i	1.13549	−	0.341197i
$327$	−1.61002	+	1.61002i	−0.0890341	+	0.0890341i
$328$	1.48515	−	2.13480i	0.0820037	−	0.117874i
$329$	4.73949	−	26.8790i	0.261296	−	1.48189i
$330$	1.23339	+	1.16129i	0.0678961	+	0.0639268i
$331$	−1.64674	+	18.8223i	−0.0905128	+	1.03457i	0.806108	+	0.591768i	$0.201570\pi$
$331$	−1.64674	+	18.8223i	−0.0905128	+	1.03457i	−0.896621	+	0.442799i	$0.853986\pi$
$332$	2.58212	−	22.4865i	0.141712	−	1.23411i
$333$	15.1210	−	9.88589i	0.828627	−	0.541744i
$334$	−17.7045	−	1.01317i	−0.968747	−	0.0554382i
$335$	−1.51934	+	17.3661i	−0.0830102	+	0.948811i
$336$	1.72324	+	2.29524i	0.0940106	+	0.125215i
$337$	17.7256	+	3.12550i	0.965575	+	0.170257i	0.634138	−	0.773220i	$-0.281355\pi$
$337$	17.7256	+	3.12550i	0.965575	+	0.170257i	0.331438	+	0.943477i	$0.392466\pi$
$338$	0.0738908	+	0.0397450i	0.00401913	+	0.00216184i
$339$	−1.19873	+	1.19873i	−0.0651061	+	0.0651061i
$340$	−6.25719	−	26.1648i	−0.339344	−	1.41898i
$341$	2.48419	−	9.27111i	0.134526	−	0.502059i
$342$	−19.7016	+	2.32303i	−1.06534	+	0.125615i
$343$	11.3735	+	6.56648i	0.614110	+	0.354556i
$344$	−3.39796	−	9.24824i	−0.183206	−	0.498632i
$345$	−0.700808	+	0.588048i	−0.0377302	+	0.0316594i
$346$	−4.07504	−	6.59169i	−0.219076	−	0.354372i
$347$	8.22533	−	2.20397i	0.441559	−	0.118315i	−0.0311882	−	0.999514i	$-0.509929\pi$
$347$	8.22533	−	2.20397i	0.441559	−	0.118315i	0.472747	+	0.881198i	$0.343262\pi$
$348$	−1.25766	+	0.419575i	−0.0674179	+	0.0224916i
$349$	4.55684	−	12.5198i	0.243922	−	0.670171i	−0.755957	−	0.654621i	$-0.772828\pi$
$349$	4.55684	−	12.5198i	0.243922	−	0.670171i	0.999879	−	0.0155494i	$-0.00494971\pi$
$350$	−9.97052	−	7.86726i	−0.532947	−	0.420523i
$351$	−3.72172	+	0.325609i	−0.198651	+	0.0173797i
$352$	−4.58621	+	22.7936i	−0.244446	+	1.21490i
$353$	−3.61219	+	5.15874i	−0.192257	+	0.274572i	−0.903695	−	0.428178i	$-0.859156\pi$
$353$	−3.61219	+	5.15874i	−0.192257	+	0.274572i	0.711437	+	0.702750i	$0.248045\pi$
$354$	−1.58147	−	0.680279i	−0.0840541	−	0.0361564i
$355$	−3.67173	+	1.71216i	−0.194875	+	0.0908719i
$356$	−0.444012	−	2.98899i	−0.0235326	−	0.158416i
$357$	−3.28928	−	4.69758i	−0.174087	−	0.248623i
$358$	6.05173	−	4.51488i	0.319844	−	0.238619i
$359$	−26.0396	+	15.0340i	−1.37432	+	0.793464i	−0.991469	−	0.130346i	$-0.958391\pi$
$359$	−26.0396	+	15.0340i	−1.37432	+	0.793464i	−0.382851	+	0.923810i	$0.625058\pi$
$360$	−10.8582	−	9.05500i	−0.572277	−	0.477241i
$361$	3.25743	−	0.574373i	0.171444	−	0.0302301i
$362$	−1.94252	+	5.88216i	−0.102097	+	0.309159i
$363$	0.349028	+	0.958947i	0.0183192	+	0.0503317i
$364$	18.6224	+	23.4540i	0.976080	+	1.22933i
$365$	6.13608	−	13.1589i	0.321177	−	0.688767i
$366$	0.634974	−	2.69132i	0.0331906	−	0.140677i
$367$	16.4702	−	19.6284i	0.859737	−	1.02459i	−0.139671	−	0.990198i	$-0.544605\pi$
$367$	16.4702	−	19.6284i	0.859737	−	1.02459i	0.999408	−	0.0343965i	$-0.0109509\pi$
$368$	−11.9344	−	3.90103i	−0.622125	−	0.203355i
$369$			2.73076i			0.142158i
$370$	−14.2538	−	2.53879i	−0.741018	−	0.131985i
$371$	22.9059			1.18922
$372$	0.161943	−	0.792395i	0.00839634	−	0.0410838i
$373$	3.39720	+	2.85059i	0.175900	+	0.147598i	0.726487	−	0.687180i	$-0.241152\pi$
$373$	3.39720	+	2.85059i	0.175900	+	0.147598i	−0.550587	+	0.834778i	$0.685596\pi$
$374$	10.6676	−	45.2142i	0.551607	−	2.33797i
$375$	−1.89319	−	0.882810i	−0.0977641	−	0.0455881i
$376$	15.2288	−	10.7324i	0.785364	−	0.553483i
$377$	−12.9997	+	4.73149i	−0.669517	+	0.243684i
$378$	−5.75249	−	1.89970i	−0.295876	−	0.0977100i
$379$	−1.81300	−	10.2820i	−0.0931277	−	0.528153i	−0.995305	−	0.0967880i	$-0.969143\pi$
$379$	−1.81300	−	10.2820i	−0.0931277	−	0.528153i	0.902177	−	0.431365i	$-0.141968\pi$
$380$	12.7717	+	9.46800i	0.655173	+	0.485698i
$381$	−0.352955	−	0.611336i	−0.0180824	−	0.0313197i
$382$	15.2066	−	11.3449i	0.778039	−	0.580455i
$383$	8.06511	−	5.64725i	0.412108	−	0.288561i	−0.349079	−	0.937093i	$-0.613506\pi$
$383$	8.06511	−	5.64725i	0.412108	−	0.288561i	0.761187	+	0.648532i	$0.224617\pi$
$384$	−0.270188	+	1.94044i	−0.0137880	+	0.0990225i
$385$	12.1137	+	25.9779i	0.617372	+	1.32396i
$386$	−7.88820	+	18.3380i	−0.401499	+	0.933379i
$387$	8.47489	+	5.93418i	0.430803	+	0.301652i
$388$	−1.01751	+	37.5897i	−0.0516564	+	1.90833i
$389$	0.753408	+	8.61149i	0.0381993	+	0.436620i	0.991079	+	0.133273i	$0.0425486\pi$
$389$	0.753408	+	8.61149i	0.0381993	+	0.436620i	−0.952880	+	0.303347i	$0.901896\pi$
$390$	1.16931	+	0.922646i	0.0592103	+	0.0467200i
$391$	23.5743	+	8.58034i	1.19220	+	0.433926i
$392$	7.52898	+	27.7607i	0.380271	+	1.40213i
$393$	0.346684	+	1.29384i	0.0174879	+	0.0652657i
$394$	−9.27145	+	5.73169i	−0.467089	+	0.288758i
$395$	14.0868	+	16.7879i	0.708782	+	0.844693i
$396$	−9.71540	−	22.3979i	−0.488217	−	1.12554i
$397$	10.5890	−	18.3406i	0.531445	−	0.920489i	−0.467882	−	0.883791i	$-0.654983\pi$
$397$	10.5890	−	18.3406i	0.531445	−	0.920489i	0.999326	−	0.0366981i	$-0.0116840\pi$
$398$	0.948342	−	0.111819i	0.0475361	−	0.00560500i
$399$	3.27351	+	0.877134i	0.163880	+	0.0439116i
$400$	−1.04135	−	8.60666i	−0.0520676	−	0.430333i
$401$	−12.5114	−	12.5114i	−0.624790	−	0.624790i	0.321962	−	0.946752i	$-0.395658\pi$
$401$	−12.5114	−	12.5114i	−0.624790	−	0.624790i	−0.946752	+	0.321962i	$0.895658\pi$
$402$	−1.20158	+	2.23388i	−0.0599293	+	0.111416i
$403$	1.46542	−	8.31084i	0.0729980	−	0.413992i
$404$	16.7454	−	15.8628i	0.833116	−	0.789202i
$405$	14.6388	+	1.28073i	0.727407	+	0.0636399i
$406$	−22.3959	−	1.28165i	−1.11149	−	0.0636070i
$407$	−20.0127	−	14.9845i	−0.991995	−	0.742754i
$408$	0.668025	−	3.85708i	0.0330722	−	0.190954i
$409$	−2.15670	−	0.188687i	−0.106642	−	0.00932997i	0.0337098	−	0.999432i	$-0.489268\pi$
$409$	−2.15670	−	0.188687i	−0.106642	−	0.00932997i	−0.140352	+	0.990102i	$0.544823\pi$
$410$	1.50019	−	1.59334i	0.0740891	−	0.0786895i
$411$	−1.13827	−	0.200708i	−0.0561468	−	0.00990020i
$412$	−23.6229	−	14.5048i	−1.16382	−	0.714600i
$413$	−20.5973	−	20.5973i	−1.01353	−	1.01353i
$414$	12.6266	−	3.79411i	0.620565	−	0.186470i
$415$	4.92980	−	18.3982i	0.241994	−	0.903135i
$416$	−2.27034	+	20.3161i	−0.111313	+	0.996079i
$417$	−1.41715	+	2.45458i	−0.0693982	+	0.120201i
$418$	12.3459	+	24.5208i	0.603860	+	1.19935i
$419$	28.3459	−	23.7850i	1.38479	−	1.16197i	0.417383	−	0.908731i	$-0.362947\pi$
$419$	28.3459	−	23.7850i	1.38479	−	1.16197i	0.967403	−	0.253243i	$-0.0814971\pi$
$420$	1.15060	+	2.12361i	0.0561436	+	0.103622i
$421$	0.856790	+	3.19759i	0.0417574	+	0.155841i	0.983657	−	0.180055i	$-0.0576276\pi$
$421$	0.856790	+	3.19759i	0.0417574	+	0.155841i	−0.941899	+	0.335896i	$0.890961\pi$
$422$	−2.26223	+	0.901382i	−0.110124	+	0.0438786i
$423$	−6.69103	+	18.3835i	−0.325329	+	0.893834i
$424$	11.0896	+	11.0224i	0.538558	+	0.535294i
$425$	1.50971	+	17.2561i	0.0732318	+	0.837044i
$426$	−0.589226	+	0.0177423i	−0.0285481	+	0.000859616i
$427$	26.8360	−	38.3258i	1.29869	−	1.85472i
$428$	2.67458	−	5.35255i	0.129281	−	0.258725i
$429$	1.08700	+	2.33107i	0.0524806	+	0.112545i
$430$	−1.68487	−	8.11829i	−0.0812517	−	0.391499i
$431$	−19.2967	−	27.5585i	−0.929489	−	1.32745i	−0.944829	−	0.327565i	$-0.893772\pi$
$431$	−19.2967	−	27.5585i	−0.929489	−	1.32745i	0.0153399	−	0.999882i	$-0.495117\pi$
$432$	−1.87085	−	3.68782i	−0.0900113	−	0.177430i
$433$	11.0127	+	19.0745i	0.529236	+	0.916663i	0.999419	+	0.0340942i	$0.0108546\pi$
$433$	11.0127	+	19.0745i	0.529236	+	0.916663i	−0.470183	+	0.882569i	$0.655812\pi$
$434$	7.50812	−	11.4408i	0.360401	−	0.549175i
$435$	−1.09875	+	0.193739i	−0.0526808	+	0.00928905i
$436$	−24.4589	−	9.65957i	−1.17137	−	0.462610i
$437$	−13.9315	+	5.07065i	−0.666434	+	0.242562i
$438$	1.57677	−	1.40607i	0.0753412	−	0.0671849i
$439$	−6.61481	+	14.1855i	−0.315708	+	0.677037i	−0.998567	−	0.0535125i	$-0.982958\pi$
$439$	−6.61481	+	14.1855i	−0.315708	+	0.677037i	0.682860	+	0.730550i	$0.260736\pi$
$440$	−6.63595	+	18.4060i	−0.316356	+	0.877472i
$441$	−23.1372	−	19.4144i	−1.10177	−	0.924494i
$442$	5.87885	−	40.4201i	0.279628	−	1.92259i
$443$			3.14142i			0.149253i	0.997212	+	0.0746266i	$0.0237765\pi$
$443$			3.14142i			0.149253i	−0.997212	+	0.0746266i	$0.976224\pi$
$444$	−1.75926	−	1.15889i	−0.0834907	−	0.0549987i
$445$		−	2.54291i		−	0.120545i
$446$	18.0008	+	2.61811i	0.852365	+	0.123971i
$447$	1.56495	+	1.31315i	0.0740195	+	0.0621097i
$448$	−16.3996	+	28.8080i	−0.774807	+	1.36105i
$449$	16.5716	−	35.5378i	0.782060	−	1.67713i	0.0472290	−	0.998884i	$-0.484961\pi$
$449$	16.5716	−	35.5378i	0.782060	−	1.67713i	0.734831	−	0.678250i	$-0.237261\pi$
$450$	6.05880	+	6.79434i	0.285614	+	0.320288i
$451$	3.55113	−	1.29250i	0.167216	−	0.0608617i
$452$	−18.2108	−	7.19200i	−0.856565	−	0.338283i
$453$	−2.36148	+	0.416393i	−0.110952	+	0.0195638i
$454$	−9.15723	−	6.00952i	−0.429770	−	0.282041i
$455$	12.6010	+	21.8255i	0.590743	+	1.02320i
$456$	1.16275	+	1.99987i	0.0544506	+	0.0936526i
$457$	8.16993	+	11.6679i	0.382173	+	0.545800i	0.963444	−	0.267910i	$-0.0863331\pi$
$457$	8.16993	+	11.6679i	0.382173	+	0.545800i	−0.581271	+	0.813710i	$0.697444\pi$
$458$	10.4002	−	2.15845i	0.485967	−	0.100858i
$459$	3.49185	+	7.48829i	0.162986	+	0.349524i
$460$	−9.45172	−	4.72287i	−0.440689	−	0.220205i
$461$	0.557879	−	0.796734i	0.0259830	−	0.0371076i	−0.805950	−	0.591983i	$-0.798345\pi$
$461$	0.557879	−	0.796734i	0.0259830	−	0.0371076i	0.831933	+	0.554875i	$0.187234\pi$
$462$	0.125529	+	4.16884i	0.00584012	+	0.193952i
$463$	−0.822126	−	9.39695i	−0.0382075	−	0.436713i	−0.991073	−	0.133320i	$-0.957436\pi$
$463$	−0.822126	−	9.39695i	−0.0382075	−	0.436713i	0.952866	−	0.303393i	$-0.0981195\pi$
$464$	−10.2260	−	11.3975i	−0.474728	−	0.529114i
$465$	0.232779	−	0.639556i	0.0107949	−	0.0296587i
$466$	−11.0436	−	27.7165i	−0.511584	−	1.28394i
$467$	8.70785	+	32.4981i	0.402951	+	1.50383i	0.807803	+	0.589452i	$0.200656\pi$
$467$	8.70785	+	32.4981i	0.402951	+	1.50383i	−0.404852	+	0.914382i	$0.632677\pi$
$468$	−10.2260	−	18.8736i	−0.472696	−	0.872433i
$469$	−32.8771	+	27.5872i	−1.51813	+	1.27386i
$470$	14.0033	−	7.05052i	0.645926	−	0.325216i
$471$	−0.557061	+	0.964858i	−0.0256680	+	0.0444583i
$472$	−0.0604408	−	19.8834i	−0.00278201	−	0.915206i
$473$	3.70563	−	13.8296i	0.170385	−	0.635886i
$474$	0.917652	+	3.05391i	0.0421492	+	0.140271i
$475$	−7.23841	−	7.23841i	−0.332121	−	0.332121i
$476$	34.6566	−	56.4426i	1.58848	−	2.58704i
$477$	−16.1689	−	2.85101i	−0.740321	−	0.130539i
$478$	26.7518	+	25.1878i	1.22360	+	1.15206i
$479$	19.2942	+	1.68802i	0.881575	+	0.0771278i	0.518947	−	0.854806i	$-0.326324\pi$
$479$	19.2942	+	1.68802i	0.881575	+	0.0771278i	0.362628	+	0.931934i	$0.381880\pi$
$480$	−0.464838	+	1.58179i	−0.0212168	+	0.0721984i
$481$	−18.6772	−	11.5912i	−0.851609	−	0.528513i
$482$	0.531261	−	9.28343i	0.0241983	−	0.422849i
$483$	−2.24374	−	0.196301i	−0.102094	−	0.00893203i
$484$	−8.55658	+	8.10555i	−0.388935	+	0.368434i
$485$	−5.49495	+	31.1634i	−0.249513	+	1.41506i
$486$	5.74579	+	3.09059i	0.260634	+	0.140192i
$487$	12.8272	+	12.8272i	0.581255	+	0.581255i	0.935248	−	0.353993i	$-0.115176\pi$
$487$	12.8272	+	12.8272i	0.581255	+	0.581255i	−0.353993	+	0.935248i	$0.615176\pi$
$488$	31.4348	−	5.64137i	1.42298	−	0.255373i
$489$	2.53195	+	0.678435i	0.114499	+	0.0306799i
$490$	2.83441	+	24.0387i	0.128046	+	1.08596i
$491$	2.33044	−	4.03645i	0.105171	−	0.182162i	−0.808637	−	0.588308i	$-0.799794\pi$
$491$	2.33044	−	4.03645i	0.105171	−	0.182162i	0.913808	+	0.406146i	$0.133128\pi$
$492$	0.292135	−	0.126718i	0.0131705	−	0.00571287i
$493$	19.6662	+	23.4373i	0.885722	+	1.05556i
$494$	12.6927	+	20.5315i	0.571073	+	0.923754i
$495$	−5.31747	−	19.8451i	−0.239003	−	0.891970i
$496$	9.14028	−	1.92597i	0.410411	−	0.0864788i
$497$	−9.37267	−	3.41137i	−0.420422	−	0.153021i
$498$	1.71678	−	2.17575i	0.0769309	−	0.0974979i
$499$	−1.41915	−	16.2210i	−0.0635301	−	0.726152i	−0.959439	−	0.281915i	$-0.909030\pi$
$499$	−1.41915	−	16.2210i	−0.0635301	−	0.726152i	0.895909	−	0.444237i	$-0.146525\pi$
$500$	0.652825	−	24.1171i	0.0291952	−	1.07855i
$501$	−1.77872	−	1.24547i	−0.0794673	−	0.0556436i
$502$	−0.799560	−	0.343936i	−0.0356861	−	0.0153506i
$503$	−1.75365	−	3.76071i	−0.0781913	−	0.167682i	0.863326	−	0.504647i	$-0.168377\pi$
$503$	−1.75365	−	3.76071i	−0.0781913	−	0.167682i	−0.941517	+	0.336965i	$0.890600\pi$
$504$	−3.13913	−	34.6664i	−0.139828	−	1.54416i
$505$	15.9001	−	11.1334i	0.707547	−	0.495430i
$506$	−10.9103	−	14.6241i	−0.485020	−	0.650119i
$507$	0.00513677	+	0.00889715i	0.000228132	+	0.000395136i
$508$	4.85535	−	6.54953i	0.215421	−	0.290588i
$509$	4.25499	+	24.1313i	0.188599	+	1.06960i	0.921243	+	0.388988i	$0.127175\pi$
$509$	4.25499	+	24.1313i	0.188599	+	1.06960i	−0.732644	+	0.680612i	$0.761714\pi$
$510$	1.03299	−	3.12799i	0.0457414	−	0.138510i
$511$	33.5901	−	12.2258i	1.48594	−	0.540837i
$512$	−21.8021	+	6.05547i	−0.963525	+	0.267617i
$513$	−4.42530	−	2.06355i	−0.195382	−	0.0911079i
$514$	23.9735	+	5.65618i	1.05743	+	0.249484i
$515$	−17.8699	−	14.9946i	−0.787441	−	0.660742i
$516$	0.241568	−	1.18201i	0.0106345	−	0.0520350i
$517$	27.0731			1.19067
$518$	−20.3943	−	29.2337i	−0.896075	−	1.28446i
$519$		−	0.948918i		−	0.0416529i
$520$	−4.40190	+	16.6302i	−0.193036	+	0.729281i
$521$	−0.838197	+	0.998924i	−0.0367221	+	0.0437637i	−0.784093	−	0.620643i	$-0.786871\pi$
$521$	−0.838197	+	0.998924i	−0.0367221	+	0.0437637i	0.747371	+	0.664407i	$0.231316\pi$
$522$	15.6493	+	3.69222i	0.684953	+	0.161604i
$523$	−4.26622	+	9.14894i	−0.186549	+	0.400055i	−0.977233	−	0.212169i	$-0.931947\pi$
$523$	−4.26622	+	9.14894i	−0.186549	+	0.400055i	0.790684	+	0.612224i	$0.209725\pi$
$524$	−12.1158	+	9.61990i	−0.529281	+	0.420247i
$525$	−0.531894	−	1.46137i	−0.0232137	−	0.0637792i
$526$	14.3177	+	4.72826i	0.624280	+	0.206162i
$527$	−18.3803	+	3.24094i	−0.800658	+	0.141178i
$528$	−1.94528	+	2.07869i	−0.0846576	+	0.0904635i
$529$	−11.3856	+	6.57348i	−0.495026	+	0.285803i
$530$	7.86793	+	10.5461i	0.341761	+	0.458095i
$531$	11.9756	+	17.1029i	0.519696	+	0.742203i
$532$	5.75129	+	38.7165i	0.249350	+	1.67857i
$533$	3.01135	−	1.40422i	0.130436	−	0.0608234i
$534$	0.146209	−	0.339898i	0.00632710	−	0.0147088i
$535$	2.88814	−	4.12469i	0.124865	−	0.178326i
$536$	−29.1921	−	2.46458i	−1.26090	−	0.106454i
$537$	0.921000	−	0.0805771i	0.0397441	−	0.00347716i
$538$	−8.80500	+	11.1590i	−0.379611	+	0.481097i
$539$	−14.2957	+	39.2770i	−0.615757	+	1.69178i
$540$	−1.10127	−	3.30103i	−0.0473912	−	0.142054i
$541$	11.1324	−	2.98293i	0.478621	−	0.128246i	−0.0114397	−	0.999935i	$-0.503641\pi$
$541$	11.1324	−	2.98293i	0.478621	−	0.128246i	0.490060	+	0.871689i	$0.336975\pi$
$542$	−6.65776	+	4.11589i	−0.285975	+	0.176792i
$543$	−0.581055	+	0.487563i	−0.0249354	+	0.0209233i
$544$	43.9388	−	10.6491i	1.88386	−	0.456576i
$545$	−19.1649	−	11.0649i	−0.820936	−	0.473967i
$546$	0.429410	+	3.64183i	0.0183770	+	0.155856i
$547$	2.77826	−	10.3686i	0.118790	−	0.443330i	−0.880753	−	0.473577i	$-0.842963\pi$
$547$	2.77826	−	10.3686i	0.118790	−	0.443330i	0.999542	+	0.0302468i	$0.00962933\pi$
$548$	−3.10489	−	12.9833i	−0.132634	−	0.554617i
$549$	−23.7133	+	23.7133i	−1.01206	+	1.01206i
$550$	5.96776	−	11.0948i	0.254466	−	0.473084i
$551$	−17.8059	−	3.13966i	−0.758558	−	0.133754i
$552$	−0.991814	−	1.17473i	−0.0422144	−	0.0499997i
$553$	−4.70243	+	53.7490i	−0.199968	+	2.28564i
$554$	1.59943	−	27.9490i	0.0679533	−	1.18744i
$555$	−1.32109	−	1.18218i	−0.0560771	−	0.0501809i
$556$	−32.5213	−	3.73440i	−1.37921	−	0.158374i
$557$	−2.34002	+	26.7466i	−0.0991499	+	1.13329i	0.769765	+	0.638327i	$0.220373\pi$
$557$	−2.34002	+	26.7466i	−0.0991499	+	1.13329i	−0.868915	+	0.494961i	$0.835182\pi$
$558$	−6.72383	+	7.14132i	−0.284642	+	0.302316i
$559$	2.18596	−	12.3972i	0.0924562	−	0.524345i
$560$	−17.2129	+	21.9516i	−0.727380	+	0.927625i
$561$	4.02227	−	4.02227i	0.169821	−	0.169821i
$562$	2.37702	+	7.91063i	0.100269	+	0.333690i
$563$	−34.3828	−	9.21285i	−1.44906	−	0.388275i	−0.553365	−	0.832939i	$-0.686657\pi$
$563$	−34.3828	−	9.21285i	−1.44906	−	0.388275i	−0.895698	+	0.444664i	$0.853323\pi$
$564$	2.27714	−	0.137259i	0.0958848	−	0.00577965i
$565$	−14.2692	−	8.23831i	−0.600309	−	0.346589i
$566$	12.7665	+	25.3561i	0.536616	+	1.06580i
$567$	23.2547	+	27.7139i	0.976605	+	1.16387i
$568$	−2.89609	−	6.16172i	−0.121517	−	0.258540i
$569$	−17.7762	+	4.76312i	−0.745217	+	0.199680i	−0.611396	−	0.791325i	$-0.709392\pi$
$569$	−17.7762	+	4.76312i	−0.745217	+	0.199680i	−0.133822	+	0.991005i	$0.542725\pi$
$570$	0.720572	+	1.80844i	0.0301814	+	0.0757474i
$571$	42.5798	+	15.4978i	1.78191	+	0.648561i	0.999673	+	0.0255776i	$0.00814248\pi$
$571$	42.5798	+	15.4978i	1.78191	+	0.648561i	0.782235	+	0.622984i	$0.214080\pi$
$572$	−19.7035	+	22.2312i	−0.823843	+	0.929531i
$573$	2.31427	−	0.202472i	0.0966798	−	0.00845839i
$574$	5.38545	−	0.162162i	0.224784	−	0.00676852i
$575$	5.57289	+	3.90218i	0.232405	+	0.162732i
$576$	15.1618	−	18.2938i	0.631740	−	0.762242i
$577$	−32.1210	+	14.9783i	−1.33722	+	0.623554i	−0.953917	−	0.300070i	$-0.902990\pi$
$577$	−32.1210	+	14.9783i	−1.33722	+	0.623554i	−0.383299	+	0.923624i	$0.625212\pi$
$578$	−64.9090	+	13.4712i	−2.69986	+	0.560329i
$579$	−2.00231	+	1.40203i	−0.0832130	+	0.0582664i
$580$	−7.10267	−	10.7516i	−0.294922	−	0.446434i
$581$	40.6112	−	23.4469i	1.68484	−	0.972741i
$582$	−2.52628	+	3.84952i	−0.104718	+	0.159568i
$583$	3.94543	+	22.3757i	0.163403	+	0.926705i
$584$	22.1453	+	10.2447i	0.916378	+	0.423927i
$585$	−6.17826	−	16.9746i	−0.255440	−	0.701815i
$586$	3.32323	+	3.72668i	0.137281	+	0.153948i
$587$	22.7660	+	10.6159i	0.939652	+	0.438167i	0.831224	−	0.555937i	$-0.187641\pi$
$587$	22.7660	+	10.6159i	0.939652	+	0.438167i	0.108428	+	0.994104i	$0.465418\pi$
$588$	−1.00329	+	3.37610i	−0.0413749	+	0.139228i
$589$	7.08970	−	8.44917i	0.292126	−	0.348142i
$590$	2.40828	−	16.5582i	0.0991473	−	0.681689i
$591$	−1.33469			−0.0549017
$592$	4.19370	−	23.9669i	0.172360	−	0.985034i
$593$	1.27566			0.0523849			0.0261925	−	0.999657i	$-0.491662\pi$
$593$	1.27566			0.0523849			0.0261925	+	0.999657i	$0.491662\pi$
$594$	0.864885	−	5.94653i	0.0354867	−	0.243989i
$595$	35.8269	−	42.6968i	1.46876	−	1.75040i
$596$	−6.72117	+	22.6170i	−0.275310	+	0.926428i
$597$	0.105971	+	0.0494152i	0.00433711	+	0.00202243i
$598$	−10.6768	−	11.9730i	−0.436609	−	0.489613i
$599$	14.2404	+	39.1251i	0.581846	+	1.59861i	0.785024	+	0.619466i	$0.212651\pi$
$599$	14.2404	+	39.1251i	0.581846	+	1.59861i	−0.203178	+	0.979142i	$0.565127\pi$
$600$	0.445703	−	0.963449i	0.0181958	−	0.0393326i
$601$	2.07693	+	11.7789i	0.0847199	+	0.480470i	0.997417	+	0.0718330i	$0.0228849\pi$
$601$	2.07693	+	11.7789i	0.0847199	+	0.480470i	−0.912697	+	0.408638i	$0.866004\pi$
$602$	11.1998	−	17.0661i	0.456469	−	0.695561i
$603$	26.6410	−	15.3812i	1.08491	−	0.626371i
$604$	−15.2654	−	23.1078i	−0.621141	−	0.940244i
$605$	−8.12465	+	5.68894i	−0.330314	+	0.231288i
$606$	2.76543	−	0.573937i	0.112338	−	0.0233146i
$607$	−34.0983	+	15.9003i	−1.38401	+	0.645373i	−0.964913	−	0.262570i	$-0.915430\pi$
$607$	−34.0983	+	15.9003i	−1.38401	+	0.645373i	−0.419094	+	0.907943i	$0.637652\pi$
$608$	−15.8460	+	21.5116i	−0.642642	+	0.872410i
$609$	−2.25005	−	1.57550i	−0.0911767	−	0.0638426i
$610$	26.8635	−	0.808891i	1.08767	−	0.0327510i
$611$	23.7131	−	2.07462i	0.959328	−	0.0839303i
$612$	−31.4886	+	35.5282i	−1.27285	+	1.43614i
$613$	38.1158	+	13.8730i	1.53948	+	0.560326i	0.965921	−	0.258835i	$-0.0833387\pi$
$613$	38.1158	+	13.8730i	1.53948	+	0.560326i	0.573563	+	0.819162i	$0.305561\pi$
$614$	−11.6614	−	29.2670i	−0.470616	−	1.18112i
$615$	0.258839	−	0.0693556i	0.0104374	−	0.00279669i
$616$	−43.5949	+	20.4902i	−1.75649	+	0.825574i
$617$	5.48674	+	6.53884i	0.220888	+	0.263244i	0.865096	−	0.501606i	$-0.167257\pi$
$617$	5.48674	+	6.53884i	0.220888	+	0.263244i	−0.644208	+	0.764850i	$0.722813\pi$
$618$	−1.52644	−	3.03172i	−0.0614022	−	0.121954i
$619$	−0.440235	−	0.254170i	−0.0176945	−	0.0102159i	0.491127	−	0.871088i	$-0.336585\pi$
$619$	−0.440235	−	0.254170i	−0.0176945	−	0.0102159i	−0.508821	+	0.860872i	$0.669919\pi$
$620$	7.84641	−	0.472958i	0.315120	−	0.0189945i
$621$	3.13450	+	0.839887i	0.125783	+	0.0337035i
$622$	−7.37518	−	24.5443i	−0.295718	−	0.984136i
$623$	4.42688	−	4.42688i	0.177359	−	0.177359i
$624$	−1.54456	+	1.96978i	−0.0618320	+	0.0788541i
$625$	1.64371	−	9.32196i	0.0657485	−	0.372878i
$626$	−2.28680	+	2.42880i	−0.0913990	+	0.0970742i
$627$	−0.292983	+	3.34881i	−0.0117006	+	0.133739i
$628$	−12.7836	−	1.46794i	−0.510122	−	0.0585771i
$629$	−9.96144	+	47.5833i	−0.397188	+	1.89727i
$630$	1.67354	−	29.2440i	0.0666755	−	1.16511i
$631$	0.123298	−	1.40930i	0.00490840	−	0.0561033i	−0.993345	−	0.115173i	$-0.963258\pi$
$631$	0.123298	−	1.40930i	0.00490840	−	0.0561033i	0.998254	+	0.0590695i	$0.0188134\pi$
$632$	−28.1407	+	23.7590i	−1.11938	+	0.945084i
$633$	−0.293653	−	0.0517790i	−0.0116717	−	0.00205803i
$634$	−12.9994	+	24.1674i	−0.516270	+	0.959810i
$635$	4.85139	−	4.85139i	0.192521	−	0.192521i
$636$	0.445297	+	1.86203i	0.0176572	+	0.0738344i
$637$	−9.51161	+	35.4978i	−0.376864	+	1.40648i
$638$	−2.60561	−	22.0982i	−0.103157	−	0.874877i
$639$	6.19139	+	3.57460i	0.244928	+	0.141409i
$640$	−18.8966	+	2.34467i	−0.746953	+	0.0926812i
$641$	−15.9993	+	13.4250i	−0.631934	+	0.530256i	−0.901529	−	0.432718i	$-0.857555\pi$
$641$	−15.9993	+	13.4250i	−0.631934	+	0.530256i	0.269595	+	0.962974i	$0.413110\pi$
$642$	0.623200	−	0.385267i	0.0245957	−	0.0152053i
$643$	−12.9094	+	3.45907i	−0.509098	+	0.136412i	−0.504219	−	0.863576i	$-0.668220\pi$
$643$	−12.9094	+	3.45907i	−0.509098	+	0.136412i	−0.00487896	+	0.999988i	$0.501553\pi$
$644$	−8.23233	−	24.6762i	−0.324399	−	0.972378i
$645$	0.347235	−	0.954019i	0.0136723	−	0.0375645i
$646$	33.0681	−	41.9087i	1.30105	−	1.64887i
$647$	11.1439	−	0.974967i	0.438113	−	0.0383299i	0.134034	−	0.990977i	$-0.457207\pi$
$647$	11.1439	−	0.974967i	0.438113	−	0.0383299i	0.304079	+	0.952647i	$0.401651\pi$
$648$	−2.07752	+	24.6075i	−0.0816129	+	0.966674i
$649$	16.5727	−	23.6683i	0.650535	−	0.929061i
$650$	4.37691	−	10.1751i	0.171676	−	0.399102i
$651$	1.51863	−	0.708147i	0.0595197	−	0.0277545i
$652$	4.44844	+	29.9459i	0.174214	+	1.17277i
$653$	−27.6899	−	39.5453i	−1.08359	−	1.54753i	−0.810683	−	0.585485i	$-0.800904\pi$
$653$	−27.6899	−	39.5453i	−1.08359	−	1.54753i	−0.272906	−	0.962041i	$-0.587985\pi$
$654$	−1.92549	−	2.58091i	−0.0752924	−	0.100922i
$655$	−11.2746	+	6.50937i	−0.440533	+	0.254342i
$656$	2.68533	+	2.51298i	0.104844	+	0.0981154i
$657$	−25.2323	+	4.44914i	−0.984406	+	0.173577i
$658$	36.6521	+	12.1040i	1.42885	+	0.471862i
$659$	3.06998	+	8.43471i	0.119590	+	0.328570i	0.985015	−	0.172468i	$-0.0551741\pi$
$659$	3.06998	+	8.43471i	0.119590	+	0.328570i	−0.865426	+	0.501038i	$0.832952\pi$
$660$	−1.87626	+	1.48975i	−0.0730334	+	0.0579883i
$661$	13.7016	−	29.3832i	0.532931	−	1.14287i	−0.436993	−	0.899465i	$-0.643957\pi$
$661$	13.7016	−	29.3832i	0.532931	−	1.14287i	0.969924	−	0.243409i	$-0.0782657\pi$
$662$	−26.0064	−	6.13580i	−1.01077	−	0.238475i
$663$	3.21484	−	3.83130i	0.124854	−	0.148795i
$664$	30.9441	+	8.19070i	1.20086	+	0.317861i
$665$			32.9383i			1.27729i
$666$	10.7574	+	23.1739i	0.416839	+	0.897972i
$667$	12.0163			0.465273
$668$	5.02161	−	24.5710i	0.194292	−	0.950681i
$669$	1.70625	+	1.43171i	0.0659673	+	0.0553531i
$670$	−23.9944	−	5.66110i	−0.926984	−	0.218707i
$671$	42.0609	+	19.6133i	1.62374	+	0.757165i
$672$	−3.56292	+	1.94447i	−0.137443	+	0.0750096i
$673$	−33.9342	+	12.3511i	−1.30807	+	0.476098i	−0.899616	−	0.436681i	$-0.856154\pi$
$673$	−33.9342	+	12.3511i	−1.30807	+	0.476098i	−0.408453	+	0.912779i	$0.633932\pi$
$674$	−7.98209	+	24.1706i	−0.307459	+	0.931017i
$675$	0.389081	+	2.20659i	0.0149757	+	0.0849317i
$676$	−0.0706629	+	0.0953193i	−0.00271780	+	0.00366613i
$677$	−20.9841	−	36.3455i	−0.806484	−	1.39687i	−0.915285	−	0.402808i	$-0.868034\pi$
$677$	−20.9841	−	36.3455i	−0.806484	−	1.39687i	0.108800	−	0.994064i	$-0.465299\pi$
$678$	−1.43361	−	1.92161i	−0.0550576	−	0.0737989i
$679$	−63.8176	+	44.6856i	−2.44910	+	1.71488i
$680$	37.8909	−	3.43112i	1.45305	−	0.131577i
$681$	−0.566804	−	1.21551i	−0.0217200	−	0.0465786i
$682$	12.4692	+	5.36369i	0.477469	+	0.205386i
$683$	−36.6934	−	25.6930i	−1.40403	−	0.983115i	−0.997586	−	0.0694411i	$-0.977878\pi$
$683$	−36.6934	−	25.6930i	−1.40403	−	0.983115i	−0.406448	−	0.913674i	$-0.633233\pi$
$684$	0.759150	−	28.0451i	0.0290268	−	1.07233i
$685$	−0.979089	−	11.1910i	−0.0374091	−	0.427588i
$686$	−11.5047	+	14.5805i	−0.439253	+	0.556685i
$687$	1.22217	+	0.444834i	0.0466287	+	0.0169715i
$688$	13.6345	−	2.87295i	0.519809	−	0.109530i
$689$	5.17042	+	19.2963i	0.196977	+	0.735130i
$690$	−0.680319	−	1.10047i	−0.0258993	−	0.0418941i
$691$	3.92107	+	4.67295i	0.149165	+	0.177767i	0.835453	−	0.549562i	$-0.185206\pi$
$691$	3.92107	+	4.67295i	0.149165	+	0.177767i	−0.686288	+	0.727330i	$0.740761\pi$
$692$	10.0545	−	4.36126i	0.382213	−	0.165790i
$693$	25.2907	−	43.8048i	0.960716	−	1.66401i
$694$	1.41019	+	11.9599i	0.0535302	+	0.453990i
$695$	−26.6086	−	7.12974i	−1.00932	−	0.270447i
$696$	−0.331197	−	1.84549i	−0.0125540	−	0.0699531i
$697$	−5.19611	−	5.19611i	−0.196817	−	0.196817i
$698$	16.5938	+	8.92562i	0.628085	+	0.337840i
$699$	0.634388	−	3.59779i	0.0239947	−	0.136081i
$700$	13.0396	−	12.3523i	0.492851	−	0.466872i
$701$	−6.74366	−	0.589994i	−0.254705	−	0.0222838i	−0.0409117	−	0.999163i	$-0.513026\pi$
$701$	−6.74366	−	0.589994i	−0.254705	−	0.0222838i	−0.213793	+	0.976879i	$0.568582\pi$
$702$	0.301859	−	5.27479i	0.0113929	−	0.199084i
$703$	−13.5656	−	25.3251i	−0.511635	−	0.955154i
$704$	−30.9658	−	11.0579i	−1.16707	−	0.416761i
$705$	1.91244	+	0.167317i	0.0720265	+	0.00630151i
$706$	−6.48435	−	6.10526i	−0.244042	−	0.229775i
$707$	47.0620	+	8.29830i	1.76995	+	0.312090i
$708$	1.27395	−	2.07478i	0.0478778	−	0.0779750i
$709$	−26.0034	−	26.0034i	−0.976578	−	0.976578i	0.0231539	−	0.999732i	$-0.492629\pi$
$709$	−26.0034	−	26.0034i	−0.976578	−	0.976578i	−0.999732	+	0.0231539i	$0.992629\pi$
$710$	−1.64878	−	5.48705i	−0.0618774	−	0.205925i
$711$	10.0093	−	37.3551i	0.375377	−	1.40093i
$712$	4.27344	−	0.0129903i	0.160154	−	0.000486831i
$713$	−3.66512	+	6.34817i	−0.137260	+	0.237741i
$714$	7.24374	−	3.64714i	0.271090	−	0.136491i
$715$	−19.1498	+	16.0686i	−0.716163	+	0.600932i
$716$	5.08672	+	9.38831i	0.190100	+	0.350858i
$717$	1.16446	+	4.34583i	0.0434877	+	0.162298i
$718$	−15.7396	−	39.5023i	−0.587398	−	1.47421i
$719$	5.43904	−	14.9436i	0.202842	−	0.557303i	−0.796006	−	0.605288i	$-0.793058\pi$
$719$	5.43904	−	14.9436i	0.202842	−	0.557303i	0.998848	+	0.0479851i	$0.0152800\pi$
$720$	14.8825	−	13.3528i	0.554639	−	0.497630i
$721$	−5.00549	−	57.2130i	−0.186414	−	2.13072i
$722$	0.140789	+	4.67565i	0.00523963	+	0.174010i
$723$	0.653069	−	0.932679i	0.0242879	−	0.0346867i
$724$	−7.83662	−	3.91583i	−0.291246	−	0.145531i
$725$	3.50643	+	7.51956i	0.130225	+	0.279269i
$726$	−1.41308	+	0.293270i	−0.0524443	+	0.0108843i
$727$	−3.17405	−	4.53301i	−0.117719	−	0.168120i	0.755968	−	0.654609i	$-0.227167\pi$
$727$	−3.17405	−	4.53301i	−0.117719	−	0.168120i	−0.873687	+	0.486488i	$0.838278\pi$
$728$	−36.6142	+	21.2879i	−1.35701	+	0.788981i
$729$	−12.6971	−	21.9920i	−0.470263	−	0.814519i
$730$	17.1667	+	11.2658i	0.635368	+	0.416967i
$731$	−27.4177	+	4.83447i	−1.01408	+	0.178809i
$732$	3.63722	+	1.43645i	0.134435	+	0.0530926i
$733$	14.9103	−	5.42689i	0.550723	−	0.200447i	−0.0516449	−	0.998666i	$-0.516446\pi$
$733$	14.9103	−	5.42689i	0.550723	−	0.200447i	0.602368	+	0.798219i	$0.294224\pi$
$734$	24.1173	+	27.0451i	0.890185	+	0.998254i
$735$	−1.25258	+	2.68617i	−0.0462021	+	0.0990808i
$736$	7.88866	−	15.9081i	0.290780	−	0.586379i
$737$	−32.6115	−	27.3643i	−1.20126	−	1.00798i
$738$	−3.82167	−	0.555838i	−0.140678	−	0.0204607i
$739$			34.9098i			1.28418i	0.766630	+	0.642090i	$0.221932\pi$
$739$			34.9098i			1.28418i	−0.766630	+	0.642090i	$0.778068\pi$
$740$	6.45431	−	19.4312i	0.237265	−	0.714306i
$741$			2.95564i			0.108578i
$742$	−4.66242	+	32.0566i	−0.171163	+	1.17683i
$743$	−2.35804	−	1.97863i	−0.0865080	−	0.0725888i	0.598508	−	0.801117i	$-0.295760\pi$
$743$	−2.35804	−	1.97863i	−0.0865080	−	0.0725888i	−0.685016	+	0.728528i	$0.740205\pi$
$744$	1.07598	+	0.387927i	0.0394475	+	0.0142221i
$745$	−8.39123	+	17.9951i	−0.307431	+	0.659288i
$746$	−4.68086	+	4.17412i	−0.171378	+	0.152825i
$747$	−31.5850	+	11.4960i	−1.15564	+	0.420617i
$748$	61.1054	+	24.1323i	2.23423	+	0.882366i
$749$	12.2084	−	2.15268i	0.446087	−	0.0786571i
$750$	1.62084	−	2.46981i	0.0591846	−	0.0901847i
$751$	21.6018	+	37.4154i	0.788261	+	1.36531i	0.927031	+	0.374984i	$0.122352\pi$
$751$	21.6018	+	37.4154i	0.788261	+	1.36531i	−0.138770	+	0.990325i	$0.544315\pi$
$752$	11.9202	+	23.4971i	0.434684	+	0.856849i
$753$	−0.0611304	−	0.0873033i	−0.00222772	−	0.00318151i
$754$	−3.97563	−	19.1560i	−0.144784	−	0.697619i
$755$	−9.84947	−	21.1223i	−0.358459	−	0.768718i
$756$	3.82951	−	7.66386i	0.139278	−	0.278732i
$757$	−8.65917	+	12.3666i	−0.314723	+	0.449471i	−0.945082	−	0.326832i	$-0.894019\pi$
$757$	−8.65917	+	12.3666i	−0.314723	+	0.449471i	0.630359	+	0.776304i	$0.282908\pi$
$758$	14.7586	−	0.444400i	0.536058	−	0.0161413i
$759$	−0.194715	−	2.22561i	−0.00706772	−	0.0807844i
$760$	−15.8500	+	15.9466i	−0.574939	+	0.578445i
$761$	0.437822	−	1.20291i	0.0158711	−	0.0436054i	−0.931504	−	0.363731i	$-0.881503\pi$
$761$	0.437822	−	1.20291i	0.0158711	−	0.0436054i	0.947375	+	0.320125i	$0.103725\pi$
$762$	0.927401	−	0.369521i	0.0335962	−	0.0133863i
$763$	−14.1012	−	52.6263i	−0.510497	−	1.90520i
$764$	12.7818	+	23.5907i	0.462428	+	0.853482i
$765$	−30.6038	+	25.6797i	−1.10648	+	0.928450i
$766$	6.26164	+	12.4365i	0.226242	+	0.449349i
$767$	12.7022	−	22.0008i	0.458648	−	0.794402i
$768$	−2.66062	−	0.773094i	−0.0960070	−	0.0278966i
$769$	−9.11304	+	34.0103i	−0.328625	+	1.22644i	0.581993	+	0.813194i	$0.302273\pi$
$769$	−9.11304	+	34.0103i	−0.328625	+	1.22644i	−0.910618	+	0.413250i	$0.864394\pi$
$770$	−38.8215	+	11.6653i	−1.39903	+	0.420387i
$771$	2.13270	+	2.13270i	0.0768073	+	0.0768073i
$772$	−24.0582	−	14.7721i	−0.865873	−	0.531659i
$773$	32.2304	+	5.68309i	1.15925	+	0.204407i	0.720010	−	0.693964i	$-0.244137\pi$
$773$	32.2304	+	5.68309i	1.15925	+	0.204407i	0.439238	+	0.898371i	$0.355248\pi$
$774$	−10.0299	+	10.6526i	−0.360516	+	0.382901i
$775$	−5.04206	−	0.441123i	−0.181116	−	0.0158456i
$776$	−52.3993	−	9.07526i	−1.88102	−	0.325783i
$777$	−0.241815	−	4.35788i	−0.00867508	−	0.156338i
$778$	−12.2050	−	0.698454i	−0.437572	−	0.0250408i
$779$	4.32610	+	0.378485i	0.154999	+	0.0135606i
$780$	−1.52924	+	1.44863i	−0.0547556	+	0.0518694i
$781$	1.71801	−	9.74329i	0.0614751	−	0.348642i
$782$	−16.8066	+	31.2455i	−0.601001	+	1.11734i
$783$	2.79840	+	2.79840i	0.100007	+	0.100007i
$784$	−40.3833	+	4.88612i	−1.44226	+	0.174504i
$785$	−10.4594	−	2.80260i	−0.373313	−	0.100029i
$786$	−1.88128	+	0.221823i	−0.0671031	+	0.00791216i
$787$	−10.8749	+	18.8359i	−0.387649	+	0.671428i	−0.992133	−	0.125189i	$-0.960046\pi$
$787$	−10.8749	+	18.8359i	−0.387649	+	0.671428i	0.604484	+	0.796618i	$0.293379\pi$
$788$	−6.13426	−	14.1420i	−0.218524	−	0.503786i
$789$	1.18677	+	1.41434i	0.0422501	+	0.0503517i
$790$	−26.3619	+	16.2971i	−0.937913	+	0.579826i
$791$	−10.4990	−	39.1827i	−0.373301	−	1.39318i
$792$	33.3232	−	9.03757i	1.18409	−	0.321136i
$793$	38.3438	+	13.9560i	1.36163	+	0.495592i
$794$	23.5121	+	18.5523i	0.834415	+	0.658397i
$795$	0.140419	+	1.60500i	0.00498014	+	0.0569233i
$796$	−0.0365418	+	1.34995i	−0.00129519	+	0.0478479i
$797$	36.1695	+	25.3262i	1.28119	+	0.897100i	0.998077	−	0.0619867i	$-0.0197436\pi$
$797$	36.1695	+	25.3262i	1.28119	+	0.897100i	0.283114	+	0.959086i	$0.408633\pi$
$798$	−1.89385	+	4.40270i	−0.0670416	+	0.155854i
$799$	−22.2484	−	47.7119i	−0.787092	−	1.68792i
$800$	12.2569	+	0.294499i	0.433347	+	0.0104121i
$801$	−3.67585	+	2.57386i	−0.129880	+	0.0909428i
$802$	20.0562	−	14.9629i	0.708210	−	0.528359i
$803$	17.7285	+	30.7067i	0.625625	+	1.08361i
$804$	−2.88171	−	2.13629i	−0.101630	−	0.0753413i
$805$	−3.80128	−	21.5581i	−0.133977	−	0.759823i
$806$	11.3326	+	3.74249i	0.399175	+	0.131824i
$807$	−1.63555	+	0.595293i	−0.0575742	+	0.0209553i
$808$	18.7913	+	26.6639i	0.661075	+	0.938031i
$809$	11.0611	+	5.15789i	0.388889	+	0.181342i	0.607221	−	0.794533i	$-0.292284\pi$
$809$	11.0611	+	5.15789i	0.388889	+	0.181342i	−0.218333	+	0.975874i	$0.570062\pi$
$810$	−4.77204	+	20.2261i	−0.167672	+	0.710674i
$811$	−7.58302	−	6.36291i	−0.266276	−	0.223432i	0.499867	−	0.866102i	$-0.333382\pi$
$811$	−7.58302	−	6.36291i	−0.266276	−	0.223432i	−0.766143	+	0.642670i	$0.777827\pi$
$812$	6.35227	−	31.0820i	0.222921	−	1.09076i
$813$	−0.958429			−0.0336136
$814$	25.0442	−	24.9576i	0.877798	−	0.874762i
$815$			25.4767i			0.892410i
$816$	5.26197	+	1.71999i	0.184206	+	0.0602117i
$817$	10.5756	−	12.6035i	0.369994	−	0.440942i
$818$	0.703055	−	2.97987i	0.0245817	−	0.104189i
$819$	18.7951	−	40.3063i	0.656755	−	1.40842i
$820$	1.92450	+	2.42382i	0.0672066	+	0.0846434i
$821$	−2.65480	−	7.29401i	−0.0926532	−	0.254563i	0.884706	−	0.466149i	$-0.154359\pi$
$821$	−2.65480	−	7.29401i	−0.0926532	−	0.254563i	−0.977359	+	0.211587i	$0.932137\pi$
$822$	0.512580	−	1.55215i	0.0178783	−	0.0541373i
$823$	29.9382	−	5.27891i	1.04358	−	0.184011i	0.374519	−	0.927219i	$-0.377808\pi$
$823$	29.9382	−	5.27891i	1.04358	−	0.184011i	0.669061	+	0.743208i	$0.266697\pi$
$824$	25.1077	−	30.1075i	0.874667	−	1.04885i
$825$	1.33592	−	0.771293i	0.0465107	−	0.0268530i
$826$	33.0182	−	24.6332i	1.14885	−	0.857098i
$827$	14.3066	+	20.4319i	0.497489	+	0.710488i	0.986858	−	0.161588i	$-0.0516617\pi$
$827$	14.3066	+	20.4319i	0.497489	+	0.710488i	−0.489369	+	0.872077i	$0.662773\pi$
$828$	2.73970	+	18.4431i	0.0952113	+	0.640942i
$829$	−21.5970	+	10.0709i	−0.750096	+	0.349776i	−0.759782	−	0.650178i	$-0.774695\pi$
$829$	−21.5970	+	10.0709i	−0.750096	+	0.349776i	0.00968623	+	0.999953i	$0.496917\pi$
$830$	24.7447	+	10.6441i	0.858901	+	0.369462i
$831$	1.96615	−	2.80795i	0.0682050	−	0.0974068i
$832$	−27.9700	−	7.31259i	−0.969687	−	0.253518i
$833$	80.9673	−	7.08372i	2.80535	−	0.245436i
$834$	−3.14670	−	2.48291i	−0.108961	−	0.0859761i
$835$	7.21815	−	19.8317i	0.249795	−	0.686305i
$836$	−36.8296	+	12.2869i	−1.27378	+	0.424950i
$837$	−2.33193	+	0.624840i	−0.0806034	+	0.0215976i
$838$	27.5171	+	44.5111i	0.950564	+	1.53761i
$839$	6.51416	−	5.46603i	0.224894	−	0.188708i	−0.523378	−	0.852101i	$-0.675328\pi$
$839$	6.51416	−	5.46603i	0.224894	−	0.188708i	0.748272	+	0.663392i	$0.230884\pi$
$840$	−3.20617	+	1.17800i	−0.110623	+	0.0406448i
$841$	−12.4236	−	7.17274i	−0.428398	−	0.247336i
$842$	−4.64938	+	0.548211i	−0.160228	+	0.0188926i
$843$	−0.261775	+	0.976956i	−0.00901600	+	0.0336482i
$844$	−0.801004	−	3.34944i	−0.0275717	−	0.115292i
$845$	−0.0706053	+	0.0706053i	−0.00242889	+	0.00242889i
$846$	−24.3655	−	13.1059i	−0.837703	−	0.450591i
$847$	−24.0477	−	4.24027i	−0.826290	−	0.145697i
$848$	−17.6829	+	13.2762i	−0.607235	+	0.455906i
$849$	−0.302963	+	3.46288i	−0.0103977	+	0.118846i
$850$	−24.4570	−	1.39959i	−0.838869	−	0.0480057i
$851$	11.8013	+	15.0097i	0.404544	+	0.514526i
$852$	0.0951048	−	0.828226i	0.00325824	−	0.0283746i
$853$	0.792087	−	9.05360i	0.0271206	−	0.309989i	−0.970503	−	0.241089i	$-0.922495\pi$
$853$	0.792087	−	9.05360i	0.0271206	−	0.309989i	0.997624	−	0.0689003i	$-0.0219490\pi$
$854$	48.1741	+	45.3578i	1.64849	+	1.55211i
$855$	4.09970	−	23.2505i	0.140207	−	0.795151i
$856$	6.94643	+	4.83254i	0.237424	+	0.165173i
$857$	−21.4881	+	21.4881i	−0.734018	+	0.734018i	−0.971413	−	0.237395i	$-0.923707\pi$
$857$	−21.4881	+	21.4881i	−0.734018	+	0.734018i	0.237395	+	0.971413i	$0.423707\pi$
$858$	−3.48356	+	1.04676i	−0.118927	+	0.0357357i
$859$	22.8628	+	6.12606i	0.780068	+	0.209019i	0.626815	−	0.779168i	$-0.284358\pi$
$859$	22.8628	+	6.12606i	0.780068	+	0.209019i	0.153253	+	0.988187i	$0.451025\pi$
$860$	11.7044	−	0.705507i	0.399117	−	0.0240576i
$861$	0.571345	+	0.329866i	0.0194714	+	0.0112418i
$862$	42.4956	−	21.3960i	1.44741	−	0.728752i
$863$	−30.7997	−	36.7057i	−1.04843	−	1.24948i	−0.967531	−	0.252754i	$-0.918664\pi$
$863$	−30.7997	−	36.7057i	−1.04843	−	1.24948i	−0.0809039	−	0.996722i	$-0.525781\pi$
$864$	5.54187	−	1.86759i	0.188538	−	0.0635366i
$865$	8.90849	−	2.38702i	0.302898	−	0.0811612i
$866$	−28.9362	+	11.5296i	−0.983291	+	0.391791i
$867$	−7.62777	−	2.77628i	−0.259053	−	0.0942874i
$868$	14.4830	+	12.8363i	0.491584	+	0.435691i
$869$	−53.3147	+	4.66443i	−1.80858	+	0.158230i
$870$	−0.0474888	−	1.57712i	−0.00161002	−	0.0534693i
$871$	−30.6610	−	21.4691i	−1.03891	−	0.727452i
$872$	18.4970	−	32.2638i	0.626388	−	1.09259i
$873$	50.6095	−	23.5996i	1.71287	−	0.798725i
$874$	−4.26061	−	20.5291i	−0.144117	−	0.694407i
$875$	40.9447	−	28.6698i	1.38418	−	0.969216i
$876$	1.64684	+	2.49288i	0.0556415	+	0.0842266i
$877$	−18.8523	+	10.8844i	−0.636597	+	0.367540i	−0.783303	−	0.621641i	$-0.786466\pi$
$877$	−18.8523	+	10.8844i	−0.636597	+	0.367540i	0.146705	+	0.989180i	$0.453133\pi$
$878$	−18.5060	−	12.1448i	−0.624548	−	0.409866i
$879$	0.106169	+	0.602114i	0.00358099	+	0.0203088i
$880$	−24.4083	−	13.0334i	−0.822803	−	0.439356i
$881$	−0.552662	−	1.51843i	−0.0186196	−	0.0511571i	0.930035	−	0.367472i	$-0.119777\pi$
$881$	−0.552662	−	1.51843i	−0.0186196	−	0.0511571i	−0.948654	+	0.316315i	$0.897554\pi$
$882$	31.8797	−	28.4285i	1.07345	−	0.957236i
$883$	−27.6133	−	12.8763i	−0.929260	−	0.433321i	−0.101774	−	0.994808i	$-0.532452\pi$
$883$	−27.6133	−	12.8763i	−0.929260	−	0.433321i	−0.827486	+	0.561486i	$0.810230\pi$
$884$	55.3709	+	16.4548i	1.86232	+	0.553433i
$885$	1.31697	−	1.56950i	0.0442693	−	0.0527581i
$886$	−4.39638	−	0.639425i	−0.147699	−	0.0214819i
$887$	27.4615			0.922066			0.461033	−	0.887383i	$-0.347479\pi$
$887$	27.4615			0.922066			0.461033	+	0.887383i	$0.347479\pi$
$888$	1.97995	−	2.22617i	0.0664428	−	0.0747055i
$889$	16.8913			0.566516
$890$	3.55877	+	0.517600i	0.119290	+	0.0173500i
$891$	−23.0668	+	27.4899i	−0.772767	+	0.920947i
$892$	−7.32802	+	24.6591i	−0.245360	+	0.825647i
$893$	28.1959	+	13.1480i	0.943540	+	0.439980i
$894$	−2.15627	+	1.92284i	−0.0721166	+	0.0643094i
$895$	3.07326	+	8.44370i	0.102728	+	0.282242i
$896$	−36.9783	−	28.8148i	−1.23536	−	0.962635i
$897$	−0.341099	−	1.93447i	−0.0113890	−	0.0645899i
$898$	46.3617	+	30.4253i	1.54711	+	1.01531i
$899$	−7.74193	+	4.46981i	−0.258208	+	0.149076i
$900$	−10.7418	+	7.09625i	−0.358062	+	0.236542i
$901$	36.1911	−	25.3413i	1.20570	−	0.844240i
$902$	1.08603	+	5.23285i	0.0361607	+	0.174235i
$903$	2.26532	−	1.05634i	0.0753851	−	0.0351526i
$904$	13.7719	−	24.0219i	0.458046	−	0.798957i
$905$	−6.03892	−	4.22850i	−0.200740	−	0.140560i
$906$	−0.102065	−	3.38962i	−0.00339090	−	0.112613i
$907$	35.8195	−	3.13380i	1.18937	−	0.104056i	0.524760	−	0.851250i	$-0.324155\pi$
$907$	35.8195	−	3.13380i	1.18937	−	0.104056i	0.664606	+	0.747194i	$0.268599\pi$
$908$	10.2742	−	11.5922i	0.340961	−	0.384702i
$909$	−32.1873	−	11.7152i	−1.06759	−	0.388570i
$910$	−33.1095	+	13.1924i	−1.09757	+	0.437324i
$911$	28.8625	−	7.73368i	0.956257	−	0.256228i	0.253242	−	0.967403i	$-0.418503\pi$
$911$	28.8625	−	7.73368i	0.956257	−	0.256228i	0.703015	+	0.711175i	$0.251837\pi$
$912$	−3.03547	+	1.22018i	−0.100514	+	0.0404043i
$913$	29.8992	+	35.6324i	0.989518	+	1.17926i
$914$	−17.9920	+	9.05877i	−0.595123	+	0.299638i
$915$	2.84996	+	1.64543i	0.0942168	+	0.0543961i
$916$	0.903808	+	14.9942i	0.0298626	+	0.495424i
$917$	−30.9596	−	8.29559i	−1.02238	−	0.273945i
$918$	−11.1905	+	3.36259i	−0.369343	+	0.110982i
$919$	8.11099	−	8.11099i	0.267557	−	0.267557i	−0.560558	−	0.828115i	$-0.689413\pi$
$919$	8.11099	−	8.11099i	0.267557	−	0.267557i	0.828115	+	0.560558i	$0.189413\pi$
$920$	8.53347	−	12.2663i	0.281340	−	0.404406i
$921$	0.669877	−	3.79906i	0.0220732	−	0.125183i
$922$	1.00147	+	0.942918i	0.0329815	+	0.0310533i
$923$	0.758151	−	8.66571i	0.0249549	−	0.285235i
$924$	−5.85980	−	0.672878i	−0.192773	−	0.0221361i
$925$	−5.94908	+	11.7649i	−0.195604	+	0.386829i
$926$	13.3183	+	0.762161i	0.437665	+	0.0250462i
$927$	−3.58779	+	41.0086i	−0.117838	+	1.34690i
$928$	18.0321	−	11.9912i	0.591932	−	0.393630i
$929$	−27.5268	−	4.85371i	−0.903124	−	0.159245i	−0.297244	−	0.954801i	$-0.596068\pi$
$929$	−27.5268	−	4.85371i	−0.903124	−	0.159245i	−0.605880	+	0.795556i	$0.707179\pi$
$930$	0.847670	+	0.455952i	0.0277962	+	0.0149512i
$931$	−33.9633	+	33.9633i	−1.11310	+	1.11310i
$932$	41.0368	−	9.81378i	1.34421	−	0.321461i
$933$	0.812207	−	3.03120i	0.0265905	−	0.0992370i
$934$	−47.2532	+	5.57165i	−1.54617	+	0.182310i
$935$	47.8794	+	27.6432i	1.56582	+	0.904029i
$936$	28.4949	−	10.4695i	0.931384	−	0.342206i
$937$	18.5305	−	15.5490i	0.605367	−	0.507963i	−0.287799	−	0.957691i	$-0.592923\pi$
$937$	18.5305	−	15.5490i	0.605367	−	0.507963i	0.893166	+	0.449728i	$0.148479\pi$
$938$	−31.9159	−	51.6265i	−1.04209	−	1.68566i
$939$	−0.394559	+	0.105722i	−0.0128759	+	0.00345010i
$940$	7.01679	+	21.0326i	0.228862	+	0.686008i
$941$	4.07796	−	11.2041i	0.132938	−	0.365243i	−0.855307	−	0.518121i	$-0.826632\pi$
$941$	4.07796	−	11.2041i	0.132938	−	0.365243i	0.988245	+	0.152877i	$0.0488540\pi$
$942$	−1.23692	−	0.975994i	−0.0403010	−	0.0317996i
$943$	−2.87511	+	0.251540i	−0.0936265	+	0.00819126i
$944$	27.8389	+	3.96261i	0.906078	+	0.128972i
$945$	4.13528	−	5.90579i	0.134521	−	0.192115i
$946$	18.6001	+	8.00096i	0.604742	+	0.260134i
$947$	19.4428	−	9.06633i	0.631807	−	0.294616i	−0.0802109	−	0.996778i	$-0.525559\pi$
$947$	19.4428	−	9.06633i	0.631807	−	0.294616i	0.712018	+	0.702162i	$0.247782\pi$
$948$	−4.46069	+	0.662632i	−0.144877	+	0.0215213i
$949$	17.8813	+	25.5371i	0.580451	+	0.828970i
$950$	11.6034	−	8.65671i	0.376465	−	0.280861i
$951$	−2.90999	+	1.68008i	−0.0943627	+	0.0544804i
$952$	71.9365	+	59.9902i	2.33147	+	1.94429i
$953$	40.7096	−	7.17819i	1.31871	−	0.232525i	0.530372	−	0.847765i	$-0.322052\pi$
$953$	40.7096	−	7.17819i	1.31871	−	0.232525i	0.788340	+	0.615240i	$0.210941\pi$
$954$	7.28107	−	22.0478i	0.235733	−	0.713825i
$955$	7.72240	+	21.2171i	0.249891	+	0.686570i
$956$	−40.6953	+	32.3119i	−1.31618	+	1.04504i
$957$	1.15147	−	2.46934i	0.0372218	−	0.0798223i
$958$	−6.28964	+	26.6584i	−0.203209	+	0.861295i
$959$	17.7777	−	21.1867i	0.574073	−	0.684153i
$960$	−2.11908	−	0.972503i	−0.0683930	−	0.0313874i
$961$			25.5466i			0.824084i
$962$	20.0234	−	23.7792i	0.645582	−	0.766673i
$963$	−8.88565			−0.286336
$964$	12.8839	+	2.63310i	0.414963	+	0.0848066i
$965$	−18.1992	−	15.2709i	−0.585852	−	0.491588i
$966$	0.731427	−	3.10013i	0.0235333	−	0.0997449i
$967$	−35.9420	−	16.7600i	−1.15582	−	0.538967i	−0.252356	−	0.967634i	$-0.581205\pi$
$967$	−35.9420	−	16.7600i	−1.15582	−	0.538967i	−0.903462	+	0.428668i	$0.858983\pi$
$968$	−9.60197	−	13.6247i	−0.308619	−	0.437914i
$969$	6.14250	−	2.23569i	0.197325	−	0.0718206i
$970$	−42.4944	−	14.0333i	−1.36441	−	0.450583i
$971$	−8.85823	−	50.2375i	−0.284274	−	1.61220i	−0.707867	−	0.706345i	$-0.750343\pi$
$971$	−8.85823	−	50.2375i	−0.284274	−	1.61220i	0.423593	−	0.905852i	$-0.360769\pi$
$972$	−5.49478	+	7.41209i	−0.176245	+	0.237743i
$973$	−33.9102	−	58.7342i	−1.08711	−	1.88293i
$974$	−20.5624	+	15.3406i	−0.658862	+	0.491543i
$975$	1.11101	−	0.777941i	0.0355809	−	0.0249140i
$976$	1.49660	+	45.1409i	0.0479050	+	1.44492i
$977$	−14.7238	−	31.5754i	−0.471057	−	1.01019i	−0.988041	−	0.154191i	$-0.950723\pi$
$977$	−14.7238	−	31.5754i	−0.471057	−	1.01019i	0.516984	−	0.855995i	$-0.327055\pi$
$978$	−1.46483	+	3.40535i	−0.0468402	+	0.108891i
$979$	5.08691	+	3.56189i	0.162578	+	0.113839i
$980$	−34.2188	−	0.926265i	−1.09308	−	0.0295885i
$981$	3.40358	+	38.9030i	0.108668	+	1.24208i
$982$	5.17461	+	4.08304i	0.165128	+	0.130295i
$983$	−4.20354	−	1.52996i	−0.134072	−	0.0487983i	0.274113	−	0.961698i	$-0.411616\pi$
$983$	−4.20354	−	1.52996i	−0.134072	−	0.0487983i	−0.408185	+	0.912899i	$0.633838\pi$
$984$	0.117877	+	0.434633i	0.00375777	+	0.0138556i
$985$	−3.35743	−	12.5301i	−0.106977	−	0.399242i
$986$	−36.8032	+	22.7521i	−1.17205	+	0.724574i
$987$	3.03804	+	3.62059i	0.0967017	+	0.115245i
$988$	−31.3171	+	13.5842i	−0.996330	+	0.432172i
$989$	−5.46722	+	9.46950i	−0.173847	+	0.301113i
$990$	28.8553	−	3.40234i	0.917082	−	0.108134i
$991$	4.74919	+	1.27254i	0.150863	+	0.0404236i	0.333460	−	0.942764i	$-0.391784\pi$
$991$	4.74919	+	1.27254i	0.150863	+	0.0404236i	−0.182597	+	0.983188i	$0.558450\pi$
$992$	0.834905	+	13.1837i	0.0265083	+	0.418584i
$993$	−2.31354	−	2.31354i	−0.0734180	−	0.0734180i
$994$	6.68196	−	12.4226i	0.211939	−	0.394020i
$995$	−0.197340	+	1.11917i	−0.00625608	+	0.0354800i
$996$	2.69550	+	2.84549i	0.0854101	+	0.0901627i
$997$	59.0632	+	5.16736i	1.87055	+	0.163652i	0.965286	−	0.261197i	$-0.0841171\pi$
$997$	59.0632	+	5.16736i	1.87055	+	0.163652i	0.905264	+	0.424849i	$0.139673\pi$
$998$	22.9900	+	1.31564i	0.727735	+	0.0416459i
$999$	−0.747183	+	6.24385i	−0.0236398	+	0.197547i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.bj.a.187.17	yes	432
8.3	odd	2	inner	296.2.bj.a.187.18	yes	432
37.19	odd	36	inner	296.2.bj.a.19.18	yes	432
296.19	even	36	inner	296.2.bj.a.19.17	✓	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.19.17	✓	432	296.19	even	36	inner
296.2.bj.a.19.18	yes	432	37.19	odd	36	inner
296.2.bj.a.187.17	yes	432	1.1	even	1	trivial
296.2.bj.a.187.18	yes	432	8.3	odd	2	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+(-0.203547 + 1.39949i) q^{2} +(-0.111309 + 0.132653i) q^{3} +(-1.91714 - 0.569723i) q^{4} +(-1.52536 - 0.711286i) q^{5} +(-0.162990 - 0.182777i) q^{6} +(-1.41720 - 3.89371i) q^{7} +(1.18755 - 2.56705i) q^{8} +(0.515737 + 2.92489i) q^{9} +(1.30592 - 1.98994i) q^{10} +(3.55947 - 2.05506i) q^{11} +(0.288971 - 0.190899i) q^{12} +(2.96023 - 2.07277i) q^{13} +(5.73767 - 1.19080i) q^{14} +(0.264141 - 0.123171i) q^{15} +(3.35083 + 2.18447i) q^{16} +(-6.54685 - 4.58415i) q^{17} +(-4.19833 + 0.126417i) q^{18} +(4.70513 - 0.411645i) q^{19} +(2.51908 + 2.23266i) q^{20} +(0.674261 + 0.245411i) q^{21} +(2.15152 + 5.39974i) q^{22} +(-3.03200 + 0.812421i) q^{23} +(0.208342 + 0.443268i) q^{24} +(-1.39315 - 1.66029i) q^{25} +(2.29828 + 4.56471i) q^{26} +(-0.895303 - 0.516904i) q^{27} +(0.498623 + 8.27219i) q^{28} +(-3.69768 - 0.990791i) q^{29} +(0.118611 + 0.394733i) q^{30} +(1.65127 - 1.65127i) q^{31} +(-3.73920 + 4.24481i) q^{32} +(-0.123592 + 0.700923i) q^{33} +(7.74806 - 8.22915i) q^{34} +(-0.607813 + 6.94734i) q^{35} +(0.677637 - 5.90125i) q^{36} +(-2.39392 - 5.59188i) q^{37} +(-0.381620 + 6.66856i) q^{38} +(-0.0545407 + 0.623403i) q^{39} +(-3.63734 + 3.07098i) q^{40} +(0.905476 + 0.159660i) q^{41} +(-0.480694 + 0.893668i) q^{42} +(2.46318 - 2.46318i) q^{43} +(-7.99481 + 1.91192i) q^{44} +(1.29375 - 4.82834i) q^{45} +(-0.519821 - 4.40861i) q^{46} +(5.70445 + 3.29346i) q^{47} +(-0.662757 + 0.201347i) q^{48} +(-7.79025 + 6.53680i) q^{49} +(2.60713 - 1.61175i) q^{50} +(1.33683 - 0.358202i) q^{51} +(-6.85607 + 2.28728i) q^{52} +(-1.89069 + 5.19464i) q^{53} +(0.905637 - 1.14775i) q^{54} +(-6.89120 + 0.602902i) q^{55} +(-11.6783 - 0.985960i) q^{56} +(-0.469119 + 0.669971i) q^{57} +(2.13925 - 4.97319i) q^{58} +(6.37122 - 2.97095i) q^{59} +(-0.576568 + 0.0856486i) q^{60} +(6.47649 + 9.24939i) q^{61} +(1.97482 + 2.64704i) q^{62} +(10.6578 - 6.15328i) q^{63} +(-5.17946 - 6.09698i) q^{64} +(-5.98974 + 1.05615i) q^{65} +(-0.955777 - 0.315636i) q^{66} +(-3.54253 - 9.73302i) q^{67} +(9.93951 + 12.5183i) q^{68} +(0.229719 - 0.492635i) q^{69} +(-9.59900 - 2.26473i) q^{70} +(1.54727 - 1.84397i) q^{71} +(8.12080 + 2.14953i) q^{72} +8.62675i q^{73} +(8.31305 - 2.21205i) q^{74} +0.375314 q^{75} +(-9.25490 - 1.89144i) q^{76} +(-13.0463 - 10.9471i) q^{77} +(-0.861344 - 0.203221i) q^{78} +(-11.8011 - 5.50296i) q^{79} +(-3.55743 - 5.71550i) q^{80} +(-8.20447 + 2.98618i) q^{81} +(-0.407749 + 1.23471i) q^{82} +(1.96520 + 11.1452i) q^{83} +(-1.15284 - 0.854629i) q^{84} +(6.72564 + 11.6491i) q^{85} +(2.94582 + 3.94857i) q^{86} +(0.543018 - 0.380226i) q^{87} +(-1.04840 - 11.5778i) q^{88} +(0.638532 + 1.36934i) q^{89} +(6.49387 + 2.79338i) q^{90} +(-12.2660 - 8.58875i) q^{91} +(6.27561 + 0.169874i) q^{92} +(0.0352446 + 0.402848i) q^{93} +(-5.77029 + 7.31294i) q^{94} +(-7.46980 - 2.71878i) q^{95} +(-0.146881 - 0.968504i) q^{96} +(-4.86625 - 18.1611i) q^{97} +(-7.56250 - 12.2329i) q^{98} +(7.84659 + 9.35120i) 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