LMFDB - Embedded newform 296.2.bj.a.19.18

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

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

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

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

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.bj (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$36$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			19.18
Character	$\chi$	$=$	296.19
Dual form			296.2.bj.a.187.18

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0425643 + 1.41357i) q^{2} +(-0.111309 - 0.132653i) q^{3} +(-1.99638 + 0.120336i) q^{4} +(1.52536 - 0.711286i) q^{5} +(0.182777 - 0.162990i) q^{6} +(1.41720 - 3.89371i) q^{7} +(-0.255078 - 2.81690i) q^{8} +(0.515737 - 2.92489i) q^{9} +(1.07038 + 2.12593i) q^{10} +(3.55947 + 2.05506i) q^{11} +(0.238178 + 0.251432i) q^{12} +(-2.96023 - 2.07277i) q^{13} +(5.56437 + 1.83758i) q^{14} +(-0.264141 - 0.123171i) q^{15} +(3.97104 - 0.480470i) q^{16} +(-6.54685 + 4.58415i) q^{17} +(4.15650 + 0.604536i) q^{18} +(4.70513 + 0.411645i) q^{19} +(-2.95959 + 1.60355i) q^{20} +(-0.674261 + 0.245411i) q^{21} +(-2.75347 + 5.11904i) q^{22} +(3.03200 + 0.812421i) q^{23} +(-0.345279 + 0.347384i) q^{24} +(-1.39315 + 1.66029i) q^{25} +(2.80402 - 4.27272i) q^{26} +(-0.895303 + 0.516904i) q^{27} +(-2.36070 + 7.94386i) q^{28} +(3.69768 - 0.990791i) q^{29} +(0.162868 - 0.378625i) q^{30} +(-1.65127 - 1.65127i) q^{31} +(0.848204 + 5.59290i) q^{32} +(-0.123592 - 0.700923i) q^{33} +(-6.75869 - 9.05932i) 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} +(-2.39271 - 4.11535i) q^{40} +(0.905476 - 0.159660i) q^{41} +(-0.375606 - 0.942672i) q^{42} +(2.46318 + 2.46318i) q^{43} +(-7.35334 - 3.67435i) q^{44} +(-1.29375 - 4.82834i) q^{45} +(-1.01936 + 4.32053i) q^{46} +(-5.70445 + 3.29346i) q^{47} +(-0.505750 - 0.473291i) q^{48} +(-7.79025 - 6.53680i) q^{49} +(-2.40624 - 1.89865i) q^{50} +(1.33683 + 0.358202i) q^{51} +(6.15915 + 3.78181i) q^{52} +(1.89069 + 5.19464i) q^{53} +(-0.768789 - 1.24357i) q^{54} +(6.89120 + 0.602902i) q^{55} +(-11.3297 - 2.99890i) q^{56} +(-0.469119 - 0.669971i) q^{57} +(1.55794 + 5.18477i) q^{58} +(6.37122 + 2.97095i) q^{59} +(0.542147 + 0.214110i) q^{60} +(-6.47649 + 9.24939i) q^{61} +(2.26390 - 2.40447i) q^{62} +(-10.6578 - 6.15328i) q^{63} +(-7.86987 + 1.43706i) q^{64} +(-5.98974 - 1.05615i) q^{65} +(0.985545 - 0.204540i) q^{66} +(-3.54253 + 9.73302i) q^{67} +(12.5183 - 9.93951i) q^{68} +(-0.229719 - 0.492635i) q^{69} +(9.79469 - 1.15490i) q^{70} +(-1.54727 - 1.84397i) q^{71} +(-8.37069 - 0.706707i) q^{72} -8.62675i q^{73} +(8.00643 + 3.14596i) q^{74} +0.375314 q^{75} +(-9.44274 - 0.255605i) q^{76} +(13.0463 - 10.9471i) q^{77} +(-0.878904 + 0.103632i) q^{78} +(11.8011 - 5.50296i) q^{79} +(5.71550 - 3.55743i) q^{80} +(-8.20447 - 2.98618i) q^{81} +(0.264232 + 1.27316i) q^{82} +(1.96520 - 11.1452i) q^{83} +(1.31655 - 0.571070i) q^{84} +(-6.72564 + 11.6491i) q^{85} +(-3.37704 + 3.58673i) q^{86} +(-0.543018 - 0.380226i) q^{87} +(4.88097 - 10.5509i) q^{88} +(0.638532 - 1.36934i) q^{89} +(6.77015 - 2.03433i) q^{90} +(-12.2660 + 8.58875i) q^{91} +(-6.15077 - 1.25704i) q^{92} +(-0.0352446 + 0.402848i) q^{93} +(-4.89836 - 7.92347i) q^{94} +(7.46980 - 2.71878i) q^{95} +(0.647504 - 0.735059i) q^{96} +(-4.86625 + 18.1611i) q^{97} +(8.90865 - 11.2903i) 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 $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

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

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 $

$2$	0.0425643	+	1.41357i	0.0300975	+	0.999547i
$2$	0.0425643	+	1.41357i	0.0300975	+	0.999547i
$3$	−0.111309	−	0.132653i	−0.0642645	−	0.0765874i	0.732954	−	0.680278i	$-0.238141\pi$
$3$	−0.111309	−	0.132653i	−0.0642645	−	0.0765874i	−0.797219	+	0.603690i	$0.793696\pi$
$4$	−1.99638	+	0.120336i	−0.998188	+	0.0601678i
$5$	1.52536	−	0.711286i	0.682160	−	0.318097i	−0.0504678	−	0.998726i	$-0.516071\pi$
$5$	1.52536	−	0.711286i	0.682160	−	0.318097i	0.732628	+	0.680629i	$0.238293\pi$
$6$	0.182777	−	0.162990i	0.0746185	−	0.0665405i
$7$	1.41720	−	3.89371i	0.535650	−	1.47169i	−0.316604	−	0.948558i	$-0.602543\pi$
$7$	1.41720	−	3.89371i	0.535650	−	1.47169i	0.852254	−	0.523128i	$-0.175235\pi$
$8$	−0.255078	−	2.81690i	−0.0901835	−	0.995925i
$9$	0.515737	−	2.92489i	0.171912	−	0.974964i
$10$	1.07038	+	2.12593i	0.338484	+	0.672278i
$11$	3.55947	+	2.05506i	1.07322	+	0.619624i	0.929060	−	0.369930i	$-0.120618\pi$
$11$	3.55947	+	2.05506i	1.07322	+	0.619624i	0.144161	+	0.989554i	$0.453952\pi$
$12$	0.238178	+	0.251432i	0.0687562	+	0.0725820i
$13$	−2.96023	−	2.07277i	−0.821019	−	0.574884i	0.0858443	−	0.996309i	$-0.472641\pi$
$13$	−2.96023	−	2.07277i	−0.821019	−	0.574884i	−0.906863	+	0.421425i	$0.861530\pi$
$14$	5.56437	+	1.83758i	1.48714	+	0.491113i
$15$	−0.264141	−	0.123171i	−0.0682009	−	0.0318026i
$16$	3.97104	−	0.480470i	0.992760	−	0.120118i
$17$	−6.54685	+	4.58415i	−1.58784	+	1.11182i	−0.652664	+	0.757648i	$0.726348\pi$
$17$	−6.54685	+	4.58415i	−1.58784	+	1.11182i	−0.935180	+	0.354172i	$0.884763\pi$
$18$	4.15650	+	0.604536i	0.979696	+	0.142491i
$19$	4.70513	+	0.411645i	1.07943	+	0.0944379i	0.612972	−	0.790105i	$-0.289974\pi$
$19$	4.70513	+	0.411645i	1.07943	+	0.0944379i	0.466459	+	0.884543i	$0.345530\pi$
$20$	−2.95959	+	1.60355i	−0.661785	+	0.358564i
$21$	−0.674261	+	0.245411i	−0.147136	+	0.0535531i
$22$	−2.75347	+	5.11904i	−0.587042	+	1.09138i
$23$	3.03200	+	0.812421i	0.632215	+	0.169402i	0.560675	−	0.828036i	$-0.310542\pi$
$23$	3.03200	+	0.812421i	0.632215	+	0.169402i	0.0715405	+	0.997438i	$0.477208\pi$
$24$	−0.345279	+	0.347384i	−0.0704798	+	0.0709095i
$25$	−1.39315	+	1.66029i	−0.278630	+	0.332059i
$26$	2.80402	−	4.27272i	0.549913	−	0.837950i
$27$	−0.895303	+	0.516904i	−0.172301	+	0.0994781i
$28$	−2.36070	+	7.94386i	−0.446131	+	1.50125i
$29$	3.69768	−	0.990791i	0.686642	−	0.183985i	0.101402	−	0.994845i	$-0.467667\pi$
$29$	3.69768	−	0.990791i	0.686642	−	0.183985i	0.585240	+	0.810860i	$0.301000\pi$
$30$	0.162868	−	0.378625i	0.0297355	−	0.0691272i
$31$	−1.65127	−	1.65127i	−0.296577	−	0.296577i	0.543095	−	0.839671i	$-0.317252\pi$
$31$	−1.65127	−	1.65127i	−0.296577	−	0.296577i	−0.839671	+	0.543095i	$0.817252\pi$
$32$	0.848204	+	5.59290i	0.149943	+	0.988695i
$33$	−0.123592	−	0.700923i	−0.0215145	−	0.122015i
$34$	−6.75869	−	9.05932i	−1.15911	−	1.55366i
$35$	−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
$40$	−2.39271	−	4.11535i	−0.378320	−	0.650694i
$41$	0.905476	−	0.159660i	0.141412	−	0.0249347i	−0.102494	−	0.994734i	$-0.532682\pi$
$41$	0.905476	−	0.159660i	0.141412	−	0.0249347i	0.243906	+	0.969799i	$0.421571\pi$
$42$	−0.375606	−	0.942672i	−0.0579572	−	0.145457i
$43$	2.46318	+	2.46318i	0.375632	+	0.375632i	0.869523	−	0.493892i	$-0.164426\pi$
$43$	2.46318	+	2.46318i	0.375632	+	0.375632i	−0.493892	+	0.869523i	$0.664426\pi$
$44$	−7.35334	−	3.67435i	−1.10856	−	0.553928i
$45$	−1.29375	−	4.82834i	−0.192861	−	0.719767i
$46$	−1.01936	+	4.32053i	−0.150297	+	0.637027i
$47$	−5.70445	+	3.29346i	−0.832079	+	0.480401i	−0.854564	−	0.519346i	$-0.826176\pi$
$47$	−5.70445	+	3.29346i	−0.832079	+	0.480401i	0.0224849	+	0.999747i	$0.492842\pi$
$48$	−0.505750	−	0.473291i	−0.0729987	−	0.0683136i
$49$	−7.79025	−	6.53680i	−1.11289	−	0.933828i
$50$	−2.40624	−	1.89865i	−0.340294	−	0.268510i
$51$	1.33683	+	0.358202i	0.187193	+	0.0501583i
$52$	6.15915	+	3.78181i	0.854121	+	0.524443i
$53$	1.89069	+	5.19464i	0.259707	+	0.713538i	0.999185	+	0.0403583i	$0.0128499\pi$
$53$	1.89069	+	5.19464i	0.259707	+	0.713538i	−0.739479	+	0.673180i	$0.764928\pi$
$54$	−0.768789	−	1.24357i	−0.104619	−	0.169229i
$55$	6.89120	+	0.602902i	0.929209	+	0.0812953i
$56$	−11.3297	−	2.99890i	−1.51400	−	0.400745i
$57$	−0.469119	−	0.669971i	−0.0621363	−	0.0887398i
$58$	1.55794	+	5.18477i	0.204568	+	0.680794i
$59$	6.37122	+	2.97095i	0.829463	+	0.386785i	0.790505	−	0.612456i	$-0.209818\pi$
$59$	6.37122	+	2.97095i	0.829463	+	0.386785i	0.0389580	+	0.999241i	$0.487596\pi$
$60$	0.542147	+	0.214110i	0.0699908	+	0.0276415i
$61$	−6.47649	+	9.24939i	−0.829230	+	1.18426i	0.151416	+	0.988470i	$0.451617\pi$
$61$	−6.47649	+	9.24939i	−0.829230	+	1.18426i	−0.980645	+	0.195793i	$0.937272\pi$
$62$	2.26390	−	2.40447i	0.287516	−	0.305369i
$63$	−10.6578	−	6.15328i	−1.34276	−	0.775240i
$64$	−7.86987	+	1.43706i	−0.983734	+	0.179632i
$65$	−5.98974	−	1.05615i	−0.742935	−	0.131000i
$66$	0.985545	−	0.204540i	0.121312	−	0.0251772i
$67$	−3.54253	+	9.73302i	−0.432789	+	1.18908i	0.511304	+	0.859400i	$0.329162\pi$
$67$	−3.54253	+	9.73302i	−0.432789	+	1.18908i	−0.944093	+	0.329678i	$0.893060\pi$
$68$	12.5183	−	9.93951i	1.51807	−	1.20534i
$69$	−0.229719	−	0.492635i	−0.0276550	−	0.0593062i
$70$	9.79469	−	1.15490i	1.17069	−	0.138037i
$71$	−1.54727	−	1.84397i	−0.183628	−	0.218839i	0.666376	−	0.745616i	$-0.267845\pi$
$71$	−1.54727	−	1.84397i	−0.183628	−	0.218839i	−0.850003	+	0.526777i	$0.823400\pi$
$72$	−8.37069	−	0.706707i	−0.986495	−	0.0832863i
$73$		−	8.62675i		−	1.00968i	−0.863212	−	0.504842i	$-0.831551\pi$
$73$		−	8.62675i		−	1.00968i	0.863212	−	0.504842i	$-0.168449\pi$
$74$	8.00643	+	3.14596i	0.930729	+	0.365711i
$75$	0.375314			0.0433375
$76$	−9.44274	−	0.255605i	−1.08316	−	0.0293199i
$77$	13.0463	−	10.9471i	1.48676	−	1.24754i
$78$	−0.878904	+	0.103632i	−0.0995163	+	0.0117340i
$79$	11.8011	−	5.50296i	1.32773	−	0.619131i	0.376158	−	0.926555i	$-0.377245\pi$
$79$	11.8011	−	5.50296i	1.32773	−	0.619131i	0.951572	+	0.307425i	$0.0994672\pi$
$80$	5.71550	−	3.55743i	0.639012	−	0.397733i
$81$	−8.20447	−	2.98618i	−0.911608	−	0.331798i
$82$	0.264232	+	1.27316i	0.0291795	+	0.140597i
$83$	1.96520	−	11.1452i	0.215709	−	1.22335i	−0.663963	−	0.747765i	$-0.731127\pi$
$83$	1.96520	−	11.1452i	0.215709	−	1.22335i	0.879672	−	0.475581i	$-0.157762\pi$
$84$	1.31655	−	0.571070i	0.143647	−	0.0623089i
$85$	−6.72564	+	11.6491i	−0.729498	+	1.26353i
$86$	−3.37704	+	3.58673i	−0.364156	+	0.386767i
$87$	−0.543018	−	0.380226i	−0.0582177	−	0.0407645i
$88$	4.88097	−	10.5509i	0.520313	−	1.12473i
$89$	0.638532	−	1.36934i	0.0676843	−	0.145149i	−0.869555	−	0.493836i	$-0.835594\pi$
$89$	0.638532	−	1.36934i	0.0676843	−	0.145149i	0.937239	+	0.348686i	$0.113372\pi$
$90$	6.77015	−	2.03433i	0.713636	−	0.214437i
$91$	−12.2660	+	8.58875i	−1.28583	+	0.900346i
$92$	−6.15077	−	1.25704i	−0.641262	−	0.131056i
$93$	−0.0352446	+	0.402848i	−0.00365470	+	0.0417734i
$94$	−4.89836	−	7.92347i	−0.505227	−	0.817243i
$95$	7.46980	−	2.71878i	0.766385	−	0.278941i
$96$	0.647504	−	0.735059i	0.0660856	−	0.0750217i
$97$	−4.86625	+	18.1611i	−0.494093	+	1.84398i	0.0409615	+	0.999161i	$0.486958\pi$
$97$	−4.86625	+	18.1611i	−0.494093	+	1.84398i	−0.535054	+	0.844818i	$0.679709\pi$
$98$	8.90865	−	11.2903i	0.899910	−	1.14049i
$99$	7.84659	−	9.35120i	0.788611	−	0.939831i
$100$	2.58146	−	3.48221i	0.258146	−	0.348221i
$101$	5.76648	+	9.98784i	0.573786	+	0.993827i	0.996172	+	0.0874109i	$0.0278593\pi$
$101$	5.76648	+	9.98784i	0.573786	+	0.993827i	−0.422386	+	0.906416i	$0.638807\pi$
$102$	−0.449444	+	1.90495i	−0.0445015	+	0.188618i
$103$	−13.3880	+	3.58731i	−1.31916	+	0.353468i	−0.848663	−	0.528934i	$-0.822592\pi$
$103$	−13.3880	+	3.58731i	−1.31916	+	0.353468i	−0.470496	+	0.882402i	$0.655925\pi$
$104$	−5.08371	+	8.86738i	−0.498499	+	0.869519i
$105$	−0.853932	+	0.853932i	−0.0833352	+	0.0833352i
$106$	−7.26252	+	2.89374i	−0.705399	+	0.281065i
$107$	−0.519518	−	2.94633i	−0.0502237	−	0.284833i	0.949344	−	0.314239i	$-0.101749\pi$
$107$	−0.519518	−	2.94633i	−0.0502237	−	0.284833i	−0.999568	+	0.0294064i	$0.990638\pi$
$108$	1.72516	−	1.13967i	0.166004	−	0.109665i
$109$	−13.0986	+	1.14598i	−1.25462	+	0.109765i	−0.695015	−	0.718995i	$-0.744602\pi$
$109$	−13.0986	+	1.14598i	−1.25462	+	0.109765i	−0.559604	+	0.828760i	$0.689047\pi$
$110$	−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	0.381354	−	0.924429i	$-0.375458\pi$
$113$	9.75252	−	0.853235i	0.917440	−	0.0802656i	0.536086	+	0.844164i	$0.319902\pi$
$114$	0.927085	−	0.691650i	0.0868295	−	0.0647790i
$115$	5.20274	−	0.917384i	0.485158	−	0.0855465i
$116$	−7.26274	+	2.42295i	−0.674328	+	0.224966i
$117$	−7.58934	+	7.58934i	−0.701634	+	0.701634i
$118$	−3.92847	+	9.13264i	−0.361645	+	0.840728i
$119$	8.57121	+	31.9882i	0.785722	+	2.93235i
$120$	−0.279584	+	0.775477i	−0.0255224	+	0.0707911i
$121$	2.94655	+	5.10358i	0.267869	+	0.463962i
$122$	−13.3504	−	8.76130i	−1.20868	−	0.793211i
$123$	−0.121967	−	0.102343i	−0.0109974	−	0.00922794i
$124$	3.49526	+	3.09785i	0.313884	+	0.278195i
$125$	−3.12213	+	11.6520i	−0.279252	+	1.04218i
$126$	8.24447	−	15.3275i	0.734475	−	1.36548i
$127$	1.39424	+	3.83064i	0.123719	+	0.339914i	0.986055	−	0.166423i	$-0.0532216\pi$
$127$	1.39424	+	3.83064i	0.123719	+	0.339914i	−0.862336	+	0.506337i	$0.830999\pi$
$128$	−2.36636	−	11.0635i	−0.209159	−	0.977882i
$129$	0.0525741	−	0.600924i	0.00462889	−	0.0529084i
$130$	1.23800	−	8.51188i	0.108580	−	0.746542i
$131$	4.43674	+	6.33633i	0.387640	+	0.553607i	0.964787	−	0.263033i	$-0.0847228\pi$
$131$	4.43674	+	6.33633i	0.387640	+	0.553607i	−0.577147	+	0.816640i	$0.695834\pi$
$132$	0.331082	+	1.38443i	0.0288169	+	0.120500i
$133$	8.27092	−	17.7370i	0.717180	−	1.53800i
$134$	−13.9091	−	4.59335i	−1.20157	−	0.396805i
$135$	−0.997991	+	1.42528i	−0.0858934	+	0.122668i
$136$	14.5831	+	17.2725i	1.25049	+	1.48111i
$137$	3.33734	−	5.78044i	0.285128	−	0.493856i	−0.687512	−	0.726173i	$-0.741297\pi$
$137$	3.33734	−	5.78044i	0.285128	−	0.493856i	0.972640	+	0.232316i	$0.0746305\pi$
$138$	0.686597	−	0.345694i	0.0584470	−	0.0294274i
$139$	16.1188	+	2.84218i	1.36718	+	0.241071i	0.808590	−	0.588372i	$-0.200231\pi$
$139$	16.1188	+	2.84218i	1.36718	+	0.241071i	0.558591	+	0.829443i	$0.311342\pi$
$140$	2.04944	+	13.7964i	0.173209	+	1.16600i
$141$	1.07185	+	0.390120i	0.0902658	+	0.0328541i
$142$	2.54072	−	2.26567i	0.213213	−	0.190131i
$143$	−6.27716	−	13.4614i	−0.524923	−	1.12570i
$144$	0.642690	−	11.8627i	0.0535575	−	0.988555i
$145$	4.93555	−	4.14142i	0.409875	−	0.343926i
$146$	12.1945	−	0.367192i	1.00923	−	0.0303890i
$147$			1.76101i			0.145246i
$148$	−4.10626	+	11.4516i	−0.337532	+	0.941314i
$149$		−	11.7973i		−	0.966471i	−0.875491	−	0.483235i	$-0.839462\pi$
$149$		−	11.7973i		−	0.966471i	0.875491	−	0.483235i	$-0.160538\pi$
$150$	0.0159750	+	0.530534i	0.00130435	+	0.0433179i
$151$	−10.6077	+	8.90095i	−0.863246	+	0.724349i	−0.962665	−	0.270697i	$-0.912746\pi$
$151$	−10.6077	+	8.90095i	−0.863246	+	0.724349i	0.0994192	+	0.995046i	$0.468302\pi$
$152$	−0.0406079	−	13.3589i	−0.00329374	−	1.08355i
$153$	10.0317	+	21.5130i	0.811015	+	1.73923i
$154$	16.0299	+	17.9759i	1.29172	+	1.44854i
$155$	−3.69330	−	1.34425i	−0.296653	−	0.107973i
$156$	−0.183901	−	1.23798i	−0.0147239	−	0.0991180i
$157$	−6.33607	−	1.11722i	−0.505673	−	0.0891639i	−0.0850090	−	0.996380i	$-0.527092\pi$
$157$	−6.33607	−	1.11722i	−0.505673	−	0.0891639i	−0.420664	+	0.907216i	$0.638203\pi$
$158$	8.28114	+	16.4475i	0.658812	+	1.30849i
$159$	0.478634	−	0.829019i	0.0379582	−	0.0657455i
$160$	5.27197	+	7.92786i	0.416785	+	0.626752i
$161$	7.46027	−	10.6544i	0.587952	−	0.839682i
$162$	3.87197	−	11.7247i	0.304211	−	0.921182i
$163$	−6.39729	+	13.7190i	−0.501074	+	1.07456i	0.479344	+	0.877627i	$0.340875\pi$
$163$	−6.39729	+	13.7190i	−0.501074	+	1.07456i	−0.980418	+	0.196930i	$0.936903\pi$
$164$	−1.78846	+	0.427702i	−0.139655	+	0.0333979i
$165$	−0.687078	−	0.981249i	−0.0534890	−	0.0763902i
$166$	15.8382	+	2.30357i	1.22928	+	0.178791i
$167$	−1.09289	+	12.4917i	−0.0845700	+	0.966640i	0.828810	+	0.559531i	$0.189019\pi$
$167$	−1.09289	+	12.4917i	−0.0845700	+	0.966640i	−0.913380	+	0.407109i	$0.866537\pi$
$168$	0.863288	+	1.83673i	0.0666041	+	0.141707i
$169$	0.0202912	+	0.0557496i	0.00156086	+	0.00428843i
$170$	−16.7532	−	9.01134i	−1.28491	−	0.691138i
$171$	3.63063	−	13.5497i	0.277641	−	1.03617i
$172$	−5.21384	−	4.62103i	−0.397552	−	0.352350i
$173$	4.19777	+	3.52235i	0.319151	+	0.267799i	0.788262	−	0.615340i	$-0.210981\pi$
$173$	4.19777	+	3.52235i	0.319151	+	0.267799i	−0.469111	+	0.883139i	$0.655426\pi$
$174$	0.514363	−	0.783780i	0.0389938	−	0.0594182i
$175$	4.49034	+	7.77749i	0.339438	+	0.587923i
$176$	15.1222	+	6.45051i	1.13988	+	0.486225i
$177$	−0.315070	−	1.17586i	−0.0236821	−	0.0883829i
$178$	1.96284	+	0.844327i	0.147121	+	0.0632850i
$179$	−3.77517	+	3.77517i	−0.282169	+	0.282169i	−0.833974	−	0.551804i	$-0.813940\pi$
$179$	−3.77517	+	3.77517i	−0.282169	+	0.282169i	0.551804	+	0.833974i	$0.313940\pi$
$180$	3.16383	+	9.48350i	0.235818	+	0.706859i
$181$	−4.31370	+	0.760622i	−0.320635	+	0.0565366i	−0.331649	−	0.943403i	$-0.607605\pi$
$181$	−4.31370	+	0.760622i	−0.320635	+	0.0565366i	0.0110143	+	0.999939i	$0.496494\pi$
$182$	−12.6629	−	16.9733i	−0.938638	−	1.25815i
$183$	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
$188$	10.9919	−	7.26144i	0.801667	−	0.529595i
$189$	0.743854	+	4.21861i	0.0541074	+	0.306859i
$190$	4.16115	+	10.4434i	0.301881	+	0.757642i
$191$	9.48615	−	9.48615i	0.686394	−	0.686394i	−0.275039	−	0.961433i	$-0.588691\pi$
$191$	9.48615	−	9.48615i	0.686394	−	0.686394i	0.961433	+	0.275039i	$0.0886909\pi$
$192$	1.06662	+	0.884007i	0.0769767	+	0.0637977i
$193$	13.6347	−	3.65341i	0.981448	−	0.262978i	0.267793	−	0.963476i	$-0.413706\pi$
$193$	13.6347	−	3.65341i	0.981448	−	0.262978i	0.713654	+	0.700498i	$0.247039\pi$
$194$	−25.8791	−	6.10578i	−1.85801	−	0.438370i
$195$	0.526612	+	0.912118i	0.0377114	+	0.0653181i
$196$	16.3389	+	12.1125i	1.16706	+	0.865176i
$197$	−4.95430	+	5.90431i	−0.352980	+	0.420665i	−0.913093	−	0.407751i	$-0.866313\pi$
$197$	−4.95430	+	5.90431i	−0.352980	+	0.420665i	0.560113	+	0.828416i	$0.310758\pi$
$198$	13.5526	+	10.6937i	0.963140	+	0.759968i
$199$	0.174761	−	0.652217i	0.0123885	−	0.0462344i	−0.959455	−	0.281862i	$-0.909048\pi$
$199$	0.174761	−	0.652217i	0.0123885	−	0.0462344i	0.971843	+	0.235628i	$0.0757146\pi$
$200$	5.03224	+	3.50087i	0.355833	+	0.247549i
$201$	1.68543	−	0.613448i	0.118881	−	0.0432693i
$202$	−13.8731	+	8.57647i	−0.976107	+	0.603438i
$203$	1.38248	−	15.8019i	0.0970313	−	1.10907i
$204$	−2.71192	−	0.554238i	−0.189872	−	0.0388044i
$205$	1.26761	−	0.887590i	0.0885338	−	0.0619920i
$206$	−5.64077	−	18.7722i	−0.393011	−	1.30792i
$207$	3.93996	−	8.44927i	0.273846	−	0.587265i
$208$	−12.7511	−	6.80876i	−0.884128	−	0.472103i
$209$	15.9018	+	11.1346i	1.09995	+	0.770194i
$210$	−1.24344	−	1.17075i	−0.0858057	−	0.0807893i
$211$	0.860972	−	1.49125i	0.0592717	−	0.102662i	−0.834867	−	0.550452i	$-0.814455\pi$
$211$	0.860972	−	1.49125i	0.0592717	−	0.102662i	0.894139	+	0.447790i	$0.147789\pi$
$212$	−4.39964	−	10.1429i	−0.302168	−	0.696620i
$213$	−0.0723825	+	0.410502i	−0.00495957	+	0.0281271i
$214$	4.14275	−	0.859786i	0.283192	−	0.0587737i
$215$	5.50926	+	2.00521i	0.375728	+	0.136754i
$216$	1.68444	+	2.39013i	0.114611	+	0.162628i
$217$	−8.76974	+	4.08940i	−0.595329	+	0.277606i
$218$	−2.17746	−	18.4671i	−0.147476	−	1.25075i
$219$	−1.14437	+	0.960238i	−0.0773291	+	0.0648868i
$220$	−13.8300	−	0.374363i	−0.932417	−	0.0252395i
$221$	28.8821			1.94282
$222$	−0.473868	−	1.41225i	−0.0318040	−	0.0947843i
$223$		−	12.8624i		−	0.861333i	−0.902511	−	0.430666i	$-0.858279\pi$
$223$		−	12.8624i		−	0.861333i	0.902511	−	0.430666i	$-0.141721\pi$
$224$	22.9792	+	4.62357i	1.53536	+	0.308925i
$225$	4.13768	+	4.93109i	0.275845	+	0.328739i
$226$	1.62122	+	13.7496i	0.107842	+	0.914608i
$227$	−3.27317	−	7.01933i	−0.217248	−	0.465889i	0.767236	−	0.641365i	$-0.221632\pi$
$227$	−3.27317	−	7.01933i	−0.217248	−	0.465889i	−0.984484	+	0.175475i	$0.943854\pi$
$228$	1.01716	+	1.28106i	0.0673630	+	0.0848404i
$229$	2.56882	−	7.05778i	0.169752	−	0.466391i	−0.825422	−	0.564517i	$-0.809063\pi$
$229$	2.56882	−	7.05778i	0.169752	−	0.466391i	0.995174	+	0.0981258i	$0.0312848\pi$
$230$	1.51824	+	7.31541i	0.100110	+	0.482364i
$231$	−2.90435	−	0.512115i	−0.191092	−	0.0336947i
$232$	−3.73416	−	10.1633i	−0.245159	−	0.667252i
$233$	−18.2705	−	10.5485i	−1.19694	−	0.691055i	−0.237070	−	0.971493i	$-0.576187\pi$
$233$	−18.2705	−	10.5485i	−1.19694	−	0.691055i	−0.959872	+	0.280438i	$0.909520\pi$
$234$	−11.0511	−	10.4050i	−0.722434	−	0.680199i
$235$	−6.35872	+	9.08120i	−0.414797	+	0.592392i
$236$	−13.0769	−	5.16445i	−0.851232	−	0.336177i
$237$	−2.04356	−	0.952928i	−0.132744	−	0.0618993i
$238$	−44.8528	+	13.4776i	−2.90738	+	0.873622i
$239$	−14.9024	−	21.2828i	−0.963957	−	1.37667i	−0.926054	−	0.377392i	$-0.876821\pi$
$239$	−14.9024	−	21.2828i	−0.963957	−	1.37667i	−0.0379031	−	0.999281i	$-0.512068\pi$
$240$	−1.10809	−	0.362205i	−0.0715272	−	0.0233802i
$241$	−6.55010	−	0.573059i	−0.421929	−	0.0369140i	−0.125785	−	0.992057i	$-0.540145\pi$
$241$	−6.55010	−	0.573059i	−0.421929	−	0.0369140i	−0.296143	+	0.955143i	$0.595701\pi$
$242$	−7.08887	+	4.38240i	−0.455690	+	0.281711i
$243$	1.57786	+	4.33512i	0.101220	+	0.278098i
$244$	11.8165	−	19.2446i	0.756473	−	1.23201i
$245$	−16.5324	−	4.42986i	−1.05622	−	0.283013i
$246$	0.139478	−	0.176766i	0.00889276	−	0.0112702i
$247$	−13.0750	−	10.9712i	−0.831942	−	0.698082i
$248$	−4.23026	+	5.07267i	−0.268622	+	0.322115i
$249$	−1.69719	+	0.979876i	−0.107555	+	0.0620971i
$250$	−16.6038	−	3.91740i	−1.05011	−	0.247758i
$251$	−0.159294	−	0.594491i	−0.0100545	−	0.0375240i	0.960716	−	0.277532i	$-0.0895165\pi$
$251$	−0.159294	−	0.594491i	−0.0100545	−	0.0375240i	−0.970771	+	0.240008i	$0.922850\pi$
$252$	22.0174	+	11.0018i	1.38697	+	0.693045i
$253$	9.12273	+	9.12273i	0.573541	+	0.573541i
$254$	−5.35554	+	2.13391i	−0.336036	+	0.133893i
$255$	2.29392	−	0.404481i	0.143651	−	0.0253296i
$256$	15.5383	−	3.81593i	0.971144	−	0.238496i
$257$	1.51802	+	17.3510i	0.0946912	+	1.08233i	0.883735	+	0.467988i	$0.155021\pi$
$257$	1.51802	+	17.3510i	0.0946912	+	1.08233i	−0.789044	+	0.614337i	$0.789423\pi$
$258$	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
$262$	−8.76801	+	6.54136i	−0.541690	+	0.404127i
$263$	−1.85142	−	10.4999i	−0.114163	−	0.647453i	−0.987161	−	0.159728i	$-0.948938\pi$
$263$	−1.85142	−	10.4999i	−0.114163	−	0.647453i	0.872998	−	0.487724i	$-0.162173\pi$
$264$	−1.94291	+	0.526935i	−0.119578	+	0.0324306i
$265$	6.57886	+	6.57886i	0.404136	+	0.404136i
$266$	25.4246	+	10.9366i	1.55888	+	0.670565i
$267$	−0.252722	+	0.0677166i	−0.0154663	+	0.00414419i
$268$	5.90100	−	19.8571i	0.360461	−	1.21296i
$269$	−8.70453	+	5.02556i	−0.530725	+	0.306414i	−0.741312	−	0.671161i	$-0.765796\pi$
$269$	−8.70453	+	5.02556i	−0.530725	+	0.306414i	0.210587	+	0.977575i	$0.432463\pi$
$270$	−2.05721	−	1.35007i	−0.125198	−	0.0821625i
$271$	−3.55765	+	4.23984i	−0.216112	+	0.257552i	−0.863199	−	0.504864i	$-0.831543\pi$
$271$	−3.55765	+	4.23984i	−0.216112	+	0.257552i	0.647087	+	0.762416i	$0.275987\pi$
$272$	−23.7952	+	21.3494i	−1.44280	+	1.29450i
$273$	2.50465	+	0.671118i	0.151588	+	0.0406179i
$274$	8.31313	+	4.47153i	0.502214	+	0.270135i
$275$	−8.37088	+	3.04675i	−0.504783	+	0.183726i
$276$	0.517888	+	0.955841i	0.0311732	+	0.0575349i
$277$	19.7199	+	1.72527i	1.18486	+	0.103661i	0.662497	−	0.749064i	$-0.269497\pi$
$277$	19.7199	+	1.72527i	1.18486	+	0.103661i	0.522359	+	0.852726i	$0.325052\pi$
$278$	−3.33155	+	22.9061i	−0.199813	+	1.37382i
$279$	−5.68141	+	3.97816i	−0.340137	+	0.238166i
$280$	−19.4149	+	3.48426i	−1.16026	+	0.208224i
$281$	5.29350	+	2.46840i	0.315784	+	0.147252i	0.574047	−	0.818822i	$-0.305373\pi$
$281$	5.29350	+	2.46840i	0.315784	+	0.147252i	−0.258264	+	0.966074i	$0.583150\pi$
$282$	−0.505841	+	1.53174i	−0.0301224	+	0.0912138i
$283$	16.4435	+	11.5139i	0.977464	+	0.684428i	0.949036	−	0.315168i	$-0.102061\pi$
$283$	16.4435	+	11.5139i	0.977464	+	0.684428i	0.0284281	+	0.999596i	$0.490950\pi$
$284$	3.31083	+	3.49506i	0.196462	+	0.207394i
$285$	−1.19211	−	0.688267i	−0.0706147	−	0.0407694i
$286$	18.7615	−	9.44621i	1.10939	−	0.558566i
$287$	0.661567	−	3.75193i	0.0390511	−	0.221470i
$288$	16.7961	+	0.403563i	0.989719	+	0.0237802i
$289$	16.0324	−	44.0487i	0.943084	−	2.59110i
$290$	6.06428	+	6.80048i	0.356107	+	0.399338i
$291$	2.95079	−	1.37597i	0.172978	−	0.0806611i
$292$	1.03810	+	17.2222i	0.0607505	+	1.00785i
$293$	−2.26950	−	2.70469i	−0.132586	−	0.158010i	0.695667	−	0.718365i	$-0.255109\pi$
$293$	−2.26950	−	2.70469i	−0.132586	−	0.158010i	−0.828252	+	0.560355i	$0.810665\pi$
$294$	−2.48932	+	0.0749562i	−0.145180	+	0.00437153i
$295$	11.8316			0.688861
$296$	−16.3624	−	5.31706i	−0.951046	−	0.309048i
$297$	−4.24907			−0.246556
$298$	16.6763	−	0.502143i	0.966033	−	0.0290884i
$299$	−7.29143	−	8.68959i	−0.421675	−	0.502532i
$300$	−0.749268	+	0.0451636i	−0.0432590	+	0.00260752i
$301$	13.0817	−	6.10011i	0.754018	−	0.351605i
$302$	−13.0337	−	14.6159i	−0.750002	−	0.841053i
$303$	0.683057	−	1.87668i	0.0392406	−	0.107813i
$304$	18.8820	−	0.626014i	1.08296	−	0.0359044i
$305$	−3.30000	+	18.7153i	−0.188958	+	1.07163i
$306$	−29.9833	+	15.0962i	−1.71403	+	0.862994i
$307$	−19.2926	−	11.1386i	−1.10109	−	0.635714i	−0.164582	−	0.986363i	$-0.552627\pi$
$307$	−19.2926	−	11.1386i	−1.10109	−	0.635714i	−0.936507	+	0.350650i	$0.885961\pi$
$308$	−24.7280	+	23.4245i	−1.40901	+	1.33474i
$309$	1.96608	+	1.37666i	0.111846	+	0.0783156i
$310$	1.74299	−	5.27797i	0.0989954	−	0.299768i
$311$	16.4241	+	7.65869i	0.931326	+	0.434285i	0.828231	−	0.560387i	$-0.189348\pi$
$311$	16.4241	+	7.65869i	0.931326	+	0.434285i	0.103095	+	0.994671i	$0.467125\pi$
$312$	1.74215	−	0.312652i	0.0986300	−	0.0177004i
$313$	1.93227	−	1.35299i	0.109218	−	0.0764756i	−0.517691	−	0.855568i	$-0.673208\pi$
$313$	1.93227	−	1.35299i	0.109218	−	0.0764756i	0.626910	+	0.779092i	$0.284320\pi$
$314$	1.30958	−	9.00405i	0.0739040	−	0.508128i
$315$	−20.6337	−	1.80521i	−1.16258	−	0.101712i
$316$	−22.8973	+	12.4061i	−1.28807	+	0.697896i
$317$	−18.2340	+	6.63663i	−1.02412	+	0.372750i	−0.798840	−	0.601543i	$-0.794553\pi$
$317$	−18.2340	+	6.63663i	−1.02412	+	0.372750i	−0.225283	+	0.974293i	$0.572331\pi$
$318$	1.19225	+	0.641298i	0.0668581	+	0.0359622i
$319$	15.1979	+	4.07227i	0.850921	+	0.228003i
$320$	−10.9822	+	7.78975i	−0.613924	+	0.435460i
$321$	−0.333014	+	0.396870i	−0.0185870	+	0.0221511i
$322$	15.3783	+	10.0921i	0.856998	+	0.562413i
$323$	−32.6908	+	18.8740i	−1.81896	+	1.05018i
$324$	16.7386	+	4.97426i	0.929920	+	0.276348i
$325$	7.56545	−	2.02716i	0.419656	−	0.112446i
$326$	−19.6651	−	8.45909i	−1.08915	−	0.468506i
$327$	1.61002	+	1.61002i	0.0890341	+	0.0890341i
$328$	−0.680713	−	2.50991i	−0.0375861	−	0.138587i
$329$	4.73949	+	26.8790i	0.261296	+	1.48189i
$330$	1.35782	−	1.01300i	0.0747457	−	0.0557639i
$331$	−1.64674	−	18.8223i	−0.0905128	−	1.03457i	−0.896621	−	0.442799i	$-0.853986\pi$
$331$	−1.64674	−	18.8223i	−0.0905128	−	1.03457i	0.806108	−	0.591768i	$-0.201570\pi$
$332$	−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
$336$	−2.55960	+	1.29850i	−0.139638	+	0.0708389i
$337$	17.7256	−	3.12550i	0.965575	−	0.170257i	0.331438	−	0.943477i	$-0.392466\pi$
$337$	17.7256	−	3.12550i	0.965575	−	0.170257i	0.634138	+	0.773220i	$0.281355\pi$
$338$	−0.0779425	+	0.0310560i	−0.00423951	+	0.00168923i
$339$	−1.19873	−	1.19873i	−0.0651061	−	0.0651061i
$340$	12.0251	−	24.0654i	0.652153	−	1.30513i
$341$	−2.48419	−	9.27111i	−0.134526	−	0.502059i
$342$	19.3080	+	4.55542i	1.04406	+	0.246329i
$343$	−11.3735	+	6.56648i	−0.614110	+	0.354556i
$344$	6.31024	−	7.56684i	0.340225	−	0.407977i
$345$	−0.700808	−	0.588048i	−0.0377302	−	0.0316594i
$346$	−4.80042	+	6.08378i	−0.258072	+	0.327066i
$347$	8.22533	+	2.20397i	0.441559	+	0.118315i	0.472747	−	0.881198i	$-0.343262\pi$
$347$	8.22533	+	2.20397i	0.441559	+	0.118315i	−0.0311882	+	0.999514i	$0.509929\pi$
$348$	1.12982	+	0.693729i	0.0605649	+	0.0371878i
$349$	−4.55684	−	12.5198i	−0.243922	−	0.670171i	−0.999879	−	0.0155494i	$-0.995050\pi$
$349$	−4.55684	−	12.5198i	−0.243922	−	0.670171i	0.755957	−	0.654621i	$-0.227172\pi$
$350$	−10.8029	+	6.67846i	−0.577440	+	0.356979i
$351$	3.72172	+	0.325609i	0.198651	+	0.0173797i
$352$	−8.47460	+	21.6509i	−0.451698	+	1.15400i
$353$	−3.61219	−	5.15874i	−0.192257	−	0.274572i	0.711437	−	0.702750i	$-0.248045\pi$
$353$	−3.61219	−	5.15874i	−0.192257	−	0.274572i	−0.903695	+	0.428178i	$0.859156\pi$
$354$	1.64875	−	0.495424i	0.0876301	−	0.0263315i
$355$	−3.67173	−	1.71216i	−0.194875	−	0.0908719i
$356$	−1.10997	+	2.81055i	−0.0588284	+	0.148959i
$357$	3.28928	−	4.69758i	0.174087	−	0.248623i
$358$	−5.49716	−	5.17579i	−0.290534	−	0.273549i
$359$	26.0396	+	15.0340i	1.37432	+	0.793464i	0.991469	−	0.130346i	$-0.0416089\pi$
$359$	26.0396	+	15.0340i	1.37432	+	0.793464i	0.382851	+	0.923810i	$0.374942\pi$
$360$	−13.2710	+	4.87597i	−0.699441	+	0.256986i
$361$	3.25743	+	0.574373i	0.171444	+	0.0302301i
$362$	−1.25881	−	6.06536i	−0.0661613	−	0.318788i
$363$	0.349028	−	0.958947i	0.0183192	−	0.0503317i
$364$	23.4540	−	18.6224i	1.22933	−	0.976080i
$365$	−6.13608	−	13.1589i	−0.321177	−	0.688767i
$366$	0.323804	+	2.74618i	0.0169255	+	0.143545i
$367$	−16.4702	−	19.6284i	−0.859737	−	1.02459i	−0.999408	−	0.0343965i	$-0.989049\pi$
$367$	−16.4702	−	19.6284i	−0.859737	−	1.02459i	0.139671	−	0.990198i	$-0.455395\pi$
$368$	12.4305	+	1.76937i	0.647986	+	0.0922349i
$369$		−	2.73076i		−	0.142158i
$370$	14.4503	−	0.896145i	0.751238	−	0.0465884i
$371$	22.9059			1.18922
$372$	0.0218846	−	0.808478i	0.00113466	−	0.0419176i
$373$	−3.39720	+	2.85059i	−0.175900	+	0.147598i	−0.726487	−	0.687180i	$-0.758848\pi$
$373$	−3.39720	+	2.85059i	−0.175900	+	0.147598i	0.550587	+	0.834778i	$0.314404\pi$
$374$	−5.43991	−	46.1359i	−0.281291	−	2.38563i
$375$	1.89319	−	0.882810i	0.0977641	−	0.0455881i
$376$	10.7324	+	15.2288i	0.553483	+	0.785364i
$377$	−12.9997	−	4.73149i	−0.669517	−	0.243684i
$378$	−5.93165	+	1.23105i	−0.305091	+	0.0633186i
$379$	−1.81300	+	10.2820i	−0.0931277	+	0.528153i	0.902177	+	0.431365i	$0.141968\pi$
$379$	−1.81300	+	10.2820i	−0.0931277	+	0.528153i	−0.995305	+	0.0967880i	$0.969143\pi$
$380$	−14.5854	+	6.32660i	−0.748213	+	0.324548i
$381$	0.352955	−	0.611336i	0.0180824	−	0.0313197i
$382$	13.8131	+	13.0056i	0.706741	+	0.665424i
$383$	−8.06511	−	5.64725i	−0.412108	−	0.288561i	0.349079	−	0.937093i	$-0.386494\pi$
$383$	−8.06511	−	5.64725i	−0.412108	−	0.288561i	−0.761187	+	0.648532i	$0.775383\pi$
$384$	−1.20421	+	1.54537i	−0.0614520	+	0.0788620i
$385$	12.1137	−	25.9779i	0.617372	−	1.32396i
$386$	5.74471	+	19.1181i	0.292398	+	0.973088i
$387$	8.47489	−	5.93418i	0.430803	−	0.301652i
$388$	7.52944	−	36.8419i	0.382249	−	1.87037i
$389$	−0.753408	+	8.61149i	−0.0381993	+	0.436620i	0.952880	+	0.303347i	$0.0981042\pi$
$389$	−0.753408	+	8.61149i	−0.0381993	+	0.436620i	−0.991079	+	0.133273i	$0.957451\pi$
$390$	−1.26693	+	0.783228i	−0.0641535	+	0.0396603i
$391$	−23.5743	+	8.58034i	−1.19220	+	0.433926i
$392$	−16.4264	+	23.6118i	−0.829658	+	1.19257i
$393$	0.346684	−	1.29384i	0.0174879	−	0.0652657i
$394$	−8.55705	−	6.75196i	−0.431098	−	0.340159i
$395$	14.0868	−	16.7879i	0.708782	−	0.844693i
$396$	−14.5395	+	19.6127i	−0.730635	+	0.985577i
$397$	−10.5890	−	18.3406i	−0.531445	−	0.920489i	−0.999326	−	0.0366981i	$-0.988316\pi$
$397$	−10.5890	−	18.3406i	−0.531445	−	0.920489i	0.467882	−	0.883791i	$-0.345017\pi$
$398$	0.929394	+	0.219276i	0.0465863	+	0.0109913i
$399$	−3.27351	+	0.877134i	−0.163880	+	0.0439116i
$400$	−4.73454	+	7.26245i	−0.236727	+	0.363123i
$401$	−12.5114	+	12.5114i	−0.624790	+	0.624790i	−0.946752	−	0.321962i	$-0.895658\pi$
$401$	−12.5114	+	12.5114i	−0.624790	+	0.624790i	0.321962	+	0.946752i	$0.395658\pi$
$402$	0.938893	+	2.35637i	0.0468277	+	0.117525i
$403$	1.46542	+	8.31084i	0.0729980	+	0.413992i
$404$	−12.7140	−	19.2456i	−0.632543	−	0.957503i
$405$	−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	−0.140352	−	0.990102i	$-0.544823\pi$
$409$	−2.15670	+	0.188687i	−0.106642	+	0.00932997i	0.0337098	+	0.999432i	$0.489268\pi$
$410$	1.30863	+	1.75408i	0.0646286	+	0.0866278i
$411$	−1.13827	+	0.200708i	−0.0561468	+	0.00990020i
$412$	26.2958	−	8.77267i	1.29550	−	0.432198i
$413$	20.5973	−	20.5973i	1.01353	−	1.01353i
$414$	12.1114	+	5.20978i	0.595241	+	0.256047i
$415$	−4.92980	−	18.3982i	−0.241994	−	0.903135i
$416$	9.08194	−	18.3144i	0.445279	−	0.897937i
$417$	−1.41715	−	2.45458i	−0.0693982	−	0.120201i
$418$	−15.0627	+	22.9523i	−0.736739	+	1.12263i
$419$	28.3459	+	23.7850i	1.38479	+	1.16197i	0.967403	+	0.253243i	$0.0814971\pi$
$419$	28.3459	+	23.7850i	1.38479	+	1.16197i	0.417383	+	0.908731i	$0.362947\pi$
$420$	1.60201	−	1.80753i	0.0781701	−	0.0881983i
$421$	−0.856790	+	3.19759i	−0.0417574	+	0.155841i	−0.983657	−	0.180055i	$-0.942372\pi$
$421$	−0.856790	+	3.19759i	−0.0417574	+	0.155841i	0.941899	+	0.335896i	$0.109039\pi$
$422$	2.14463	+	1.15357i	0.104399	+	0.0561550i
$423$	6.69103	+	18.3835i	0.325329	+	0.893834i
$424$	14.1505	−	6.65093i	0.687210	−	0.322998i
$425$	1.50971	−	17.2561i	0.0732318	−	0.837044i
$426$	−0.583355	−	0.0848453i	−0.0282636	−	0.00411077i
$427$	26.8360	+	38.3258i	1.29869	+	1.85472i
$428$	1.39170	+	5.81948i	0.0672705	+	0.281295i
$429$	−1.08700	+	2.33107i	−0.0524806	+	0.112545i
$430$	−2.60001	+	7.87308i	−0.125383	+	0.379674i
$431$	19.2967	−	27.5585i	0.929489	−	1.32745i	−0.0153399	−	0.999882i	$-0.504883\pi$
$431$	19.2967	−	27.5585i	0.929489	−	1.32745i	0.944829	−	0.327565i	$-0.106228\pi$
$432$	−3.30693	+	2.48281i	−0.159105	+	0.119454i
$433$	11.0127	−	19.0745i	0.529236	−	0.916663i	−0.470183	−	0.882569i	$-0.655812\pi$
$433$	11.0127	−	19.0745i	0.529236	−	0.916663i	0.999419	−	0.0340942i	$-0.0108546\pi$
$434$	−6.15394	−	12.2226i	−0.295399	−	0.586704i
$435$	−1.09875	−	0.193739i	−0.0526808	−	0.00928905i
$436$	26.0119	−	3.86404i	1.24574	−	0.185054i
$437$	13.9315	+	5.07065i	0.666434	+	0.242562i
$438$	−1.40607	−	1.57677i	−0.0671849	−	0.0753412i
$439$	6.61481	+	14.1855i	0.315708	+	0.677037i	0.998567	−	0.0535125i	$-0.0170417\pi$
$439$	6.61481	+	14.1855i	0.315708	+	0.677037i	−0.682860	+	0.730550i	$0.739264\pi$
$440$	−0.0594749	−	19.5656i	−0.00283536	−	0.932754i
$441$	−23.1372	+	19.4144i	−1.10177	+	0.924494i
$442$	1.22935	+	40.8269i	0.0584740	+	1.94194i
$443$		−	3.14142i		−	0.149253i	−0.997212	−	0.0746266i	$-0.976224\pi$
$443$		−	3.14142i		−	0.149253i	0.997212	−	0.0746266i	$-0.0237765\pi$
$444$	1.97615	−	0.729959i	0.0937842	−	0.0346423i
$445$		−	2.54291i		−	0.120545i
$446$	18.1820	−	0.547481i	0.860943	−	0.0259240i
$447$	−1.56495	+	1.31315i	−0.0740195	+	0.0621097i
$448$	−5.55766	+	32.6796i	−0.262575	+	1.54397i
$449$	16.5716	+	35.5378i	0.782060	+	1.67713i	0.734831	+	0.678250i	$0.237261\pi$
$449$	16.5716	+	35.5378i	0.782060	+	1.67713i	0.0472290	+	0.998884i	$0.484961\pi$
$450$	−6.79434	+	6.05880i	−0.320288	+	0.285614i
$451$	3.55113	+	1.29250i	0.167216	+	0.0608617i
$452$	−19.3670	+	2.87695i	−0.910948	+	0.135320i
$453$	2.36148	+	0.416393i	0.110952	+	0.0195638i
$454$	9.78302	−	4.92564i	0.459140	−	0.231172i
$455$	−12.6010	+	21.8255i	−0.590743	+	1.02320i
$456$	−1.76758	+	1.49236i	−0.0827745	+	0.0698860i
$457$	8.16993	−	11.6679i	0.382173	−	0.545800i	−0.581271	−	0.813710i	$-0.697444\pi$
$457$	8.16993	−	11.6679i	0.382173	−	0.545800i	0.963444	+	0.267910i	$0.0863331\pi$
$458$	10.0860	+	3.33081i	0.471289	+	0.155638i
$459$	3.49185	−	7.48829i	0.162986	−	0.349524i
$460$	−10.2762	+	2.45752i	−0.479132	+	0.114582i
$461$	−0.557879	−	0.796734i	−0.0259830	−	0.0371076i	0.805950	−	0.591983i	$-0.201655\pi$
$461$	−0.557879	−	0.796734i	−0.0259830	−	0.0371076i	−0.831933	+	0.554875i	$0.812766\pi$
$462$	0.600290	−	4.12731i	0.0279280	−	0.192020i
$463$	0.822126	−	9.39695i	0.0382075	−	0.436713i	−0.952866	−	0.303393i	$-0.901881\pi$
$463$	0.822126	−	9.39695i	0.0382075	−	0.436713i	0.991073	−	0.133320i	$-0.0425639\pi$
$464$	14.2076	−	5.71110i	0.659571	−	0.265131i
$465$	0.232779	+	0.639556i	0.0107949	+	0.0296587i
$466$	14.1334	−	26.2757i	0.654717	−	1.21720i
$467$	8.70785	−	32.4981i	0.402951	−	1.50383i	−0.404852	−	0.914382i	$-0.632677\pi$
$467$	8.70785	−	32.4981i	0.402951	−	1.50383i	0.807803	−	0.589452i	$-0.200656\pi$
$468$	14.2379	−	16.0644i	0.658147	−	0.742579i
$469$	32.8771	+	27.5872i	1.51813	+	1.27386i
$470$	−13.1076	−	8.60199i	−0.604608	−	0.396780i
$471$	0.557061	+	0.964858i	0.0256680	+	0.0444583i
$472$	6.74372	−	18.7049i	0.310405	−	0.860964i
$473$	3.70563	+	13.8296i	0.170385	+	0.635886i
$474$	1.26005	−	2.92928i	0.0578760	−	0.134546i
$475$	−7.23841	+	7.23841i	−0.332121	+	0.332121i
$476$	−20.9607	−	62.8291i	−0.960731	−	2.87977i
$477$	16.1689	−	2.85101i	0.740321	−	0.130539i
$478$	29.4505	−	21.9715i	1.34704	−	1.00495i
$479$	−19.2942	+	1.68802i	−0.881575	+	0.0771278i	−0.518947	−	0.854806i	$-0.673676\pi$
$479$	−19.2942	+	1.68802i	−0.881575	+	0.0771278i	−0.362628	+	0.931934i	$0.618120\pi$
$480$	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
$484$	−6.49658	−	9.83410i	−0.295299	−	0.447004i
$485$	5.49495	+	31.1634i	0.249513	+	1.41506i
$486$	−6.06085	+	2.41494i	−0.274926	+	0.109544i
$487$	−12.8272	+	12.8272i	−0.581255	+	0.581255i	−0.935248	−	0.353993i	$-0.884824\pi$
$487$	−12.8272	+	12.8272i	−0.581255	+	0.581255i	0.353993	+	0.935248i	$0.384824\pi$
$488$	27.7066	+	15.8843i	1.25422	+	0.719050i
$489$	2.53195	−	0.678435i	0.114499	−	0.0306799i
$490$	5.55823	−	23.5584i	0.251095	−	1.06426i
$491$	2.33044	+	4.03645i	0.105171	+	0.182162i	0.913808	−	0.406146i	$-0.133128\pi$
$491$	2.33044	+	4.03645i	0.105171	+	0.182162i	−0.808637	+	0.588308i	$0.799794\pi$
$492$	0.255808	+	0.189638i	0.0115327	+	0.00854953i
$493$	−19.6662	+	23.4373i	−0.885722	+	1.05556i
$494$	14.9521	−	18.9494i	0.672727	−	0.852576i
$495$	5.31747	−	19.8451i	0.239003	−	0.891970i
$496$	−7.35064	−	5.76387i	−0.330054	−	0.258805i
$497$	−9.37267	+	3.41137i	−0.420422	+	0.153021i
$498$	−1.45737	−	2.35740i	−0.0653061	−	0.105638i
$499$	−1.41915	+	16.2210i	−0.0635301	+	0.726152i	0.895909	+	0.444237i	$0.146525\pi$
$499$	−1.41915	+	16.2210i	−0.0635301	+	0.726152i	−0.959439	+	0.281915i	$0.909030\pi$
$500$	4.83081	−	23.6374i	0.216040	−	1.05710i
$501$	1.77872	−	1.24547i	0.0794673	−	0.0556436i
$502$	0.833577	−	0.250477i	0.0372044	−	0.0111793i
$503$	1.75365	−	3.76071i	0.0781913	−	0.167682i	−0.863326	−	0.504647i	$-0.831623\pi$
$503$	1.75365	−	3.76071i	0.0781913	−	0.167682i	0.941517	+	0.336965i	$0.109400\pi$
$504$	−14.6146	+	31.5915i	−0.650987	+	1.40720i
$505$	15.9001	+	11.1334i	0.707547	+	0.495430i
$506$	−12.5073	+	13.2839i	−0.556019	+	0.590544i
$507$	0.00513677	−	0.00889715i	0.000228132	−	0.000395136i
$508$	−3.24439	−	7.47962i	−0.143946	−	0.331854i
$509$	−4.25499	+	24.1313i	−0.188599	+	1.06960i	0.732644	+	0.680612i	$0.238286\pi$
$509$	−4.25499	+	24.1313i	−0.188599	+	1.06960i	−0.921243	+	0.388988i	$0.872825\pi$
$510$	0.669402	+	3.22541i	0.0296416	+	0.142824i
$511$	−33.5901	−	12.2258i	−1.48594	−	0.540837i
$512$	6.05547	+	21.8021i	0.267617	+	0.963525i
$513$	−4.42530	+	2.06355i	−0.195382	+	0.0911079i
$514$	−24.4623	+	2.88436i	−1.07899	+	0.127224i
$515$	−17.8699	+	14.9946i	−0.787441	+	0.660742i
$516$	−0.0326451	+	1.20600i	−0.00143712	+	0.0530911i
$517$	−27.0731			−1.19067
$518$	23.5962	−	26.7163i	1.03676	−	1.17385i
$519$		−	0.948918i		−	0.0416529i
$520$	−1.44723	+	17.1419i	−0.0634652	+	0.751722i
$521$	−0.838197	−	0.998924i	−0.0367221	−	0.0437637i	0.747371	−	0.664407i	$-0.231316\pi$
$521$	−0.838197	−	0.998924i	−0.0367221	−	0.0437637i	−0.784093	+	0.620643i	$0.786871\pi$
$522$	15.9684	−	1.88284i	0.698917	−	0.0824096i
$523$	−4.26622	−	9.14894i	−0.186549	−	0.400055i	0.790684	−	0.612224i	$-0.209725\pi$
$523$	−4.26622	−	9.14894i	−0.186549	−	0.400055i	−0.977233	+	0.212169i	$0.931947\pi$
$524$	−9.61990	−	12.1158i	−0.420247	−	0.529281i
$525$	0.531894	−	1.46137i	0.0232137	−	0.0637792i
$526$	14.7636	−	3.06404i	0.643723	−	0.133598i
$527$	18.3803	+	3.24094i	0.800658	+	0.141178i
$528$	−0.827560	−	2.72401i	−0.0360149	−	0.118547i
$529$	−11.3856	−	6.57348i	−0.495026	−	0.285803i
$530$	−9.01967	+	9.57972i	−0.391789	+	0.416116i
$531$	11.9756	−	17.1029i	0.519696	−	0.742203i
$532$	−14.3775	+	36.4051i	−0.623342	+	1.57836i
$533$	−3.01135	−	1.40422i	−0.130436	−	0.0608234i
$534$	−0.106479	−	0.354358i	−0.00460781	−	0.0153346i
$535$	−2.88814	−	4.12469i	−0.124865	−	0.178326i
$536$	28.3206	+	7.49628i	1.22326	+	0.323790i
$537$	0.921000	+	0.0805771i	0.0397441	+	0.00347716i
$538$	−7.47450	−	12.0906i	−0.322249	−	0.521262i
$539$	−14.2957	−	39.2770i	−0.615757	−	1.69178i
$540$	1.82085	−	2.96549i	0.0783571	−	0.127614i
$541$	−11.1324	−	2.98293i	−0.478621	−	0.128246i	0.0114397	−	0.999935i	$-0.496359\pi$
$541$	−11.1324	−	2.98293i	−0.478621	−	0.128246i	−0.490060	+	0.871689i	$0.663025\pi$
$542$	−6.14476	−	4.84853i	−0.263940	−	0.208262i
$543$	0.581055	+	0.487563i	0.0249354	+	0.0209233i
$544$	−31.1918	−	32.7276i	−1.33734	−	1.40318i
$545$	−19.1649	+	11.0649i	−0.820936	+	0.473967i
$546$	−0.842066	+	3.56907i	−0.0360371	+	0.152742i
$547$	2.77826	+	10.3686i	0.118790	+	0.443330i	0.999542	−	0.0302468i	$-0.00962933\pi$
$547$	2.77826	+	10.3686i	0.118790	+	0.443330i	−0.880753	+	0.473577i	$0.842963\pi$
$548$	−5.96699	+	11.9415i	−0.254897	+	0.510117i
$549$	23.7133	+	23.7133i	1.01206	+	1.01206i
$550$	−4.66311	−	11.7032i	−0.198836	−	0.499025i
$551$	17.8059	−	3.13966i	0.758558	−	0.133754i
$552$	−1.32911	+	0.772757i	−0.0565706	+	0.0328907i
$553$	−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	0.868915	+	0.494961i	$0.164818\pi$
$557$	2.34002	+	26.7466i	0.0991499	+	1.13329i	−0.769765	+	0.638327i	$0.779627\pi$
$558$	−5.86525	−	7.86175i	−0.248296	−	0.332815i
$559$	−2.18596	−	12.3972i	−0.0924562	−	0.524345i
$560$	−5.75164	−	27.2961i	−0.243051	−	1.15347i
$561$	4.02227	+	4.02227i	0.169821	+	0.169821i
$562$	−3.26395	+	7.58781i	−0.137681	+	0.320073i
$563$	−34.3828	+	9.21285i	−1.44906	+	0.388275i	−0.895698	−	0.444664i	$-0.853323\pi$
$563$	−34.3828	+	9.21285i	−1.44906	+	0.388275i	−0.553365	+	0.832939i	$0.686657\pi$
$564$	−2.18676	−	0.649846i	−0.0920790	−	0.0273635i
$565$	14.2692	−	8.23831i	0.600309	−	0.346589i
$566$	−15.5758	+	23.7341i	−0.654698	+	0.997621i
$567$	−23.2547	+	27.7139i	−0.976605	+	1.16387i
$568$	−4.79960	+	4.82887i	−0.201387	+	0.202615i
$569$	−17.7762	−	4.76312i	−0.745217	−	0.199680i	−0.133822	−	0.991005i	$-0.542725\pi$
$569$	−17.7762	−	4.76312i	−0.745217	−	0.199680i	−0.611396	+	0.791325i	$0.709392\pi$
$570$	0.922175	−	1.71444i	0.0386256	−	0.0718098i
$571$	42.5798	−	15.4978i	1.78191	−	0.648561i	0.782235	−	0.622984i	$-0.214080\pi$
$571$	42.5798	−	15.4978i	1.78191	−	0.648561i	0.999673	−	0.0255776i	$-0.00814248\pi$
$572$	14.1515	+	26.1187i	0.591703	+	1.09208i
$573$	−2.31427	−	0.202472i	−0.0966798	−	0.00845839i
$574$	5.33179	+	0.775475i	0.222545	+	0.0323677i
$575$	−5.57289	+	3.90218i	−0.232405	+	0.162732i
$576$	0.144449	+	23.7597i	0.00601871	+	0.989986i
$577$	−32.1210	−	14.9783i	−1.33722	−	0.623554i	−0.383299	−	0.923624i	$-0.625212\pi$
$577$	−32.1210	−	14.9783i	−1.33722	−	0.623554i	−0.953917	+	0.300070i	$0.902990\pi$
$578$	62.9485	+	20.7881i	2.61831	+	0.864671i
$579$	−2.00231	−	1.40203i	−0.0832130	−	0.0582664i
$580$	−9.35486	+	8.86175i	−0.388439	+	0.367964i
$581$	−40.6112	−	23.4469i	−1.68484	−	0.972741i
$582$	2.07064	+	4.11258i	0.0858307	+	0.170472i
$583$	−3.94543	+	22.3757i	−0.163403	+	0.926705i
$584$	−24.3007	+	2.20049i	−1.00557	+	0.0910569i
$585$	−6.17826	+	16.9746i	−0.255440	+	0.701815i
$586$	3.72668	−	3.32323i	0.153948	−	0.137281i
$587$	22.7660	−	10.6159i	0.939652	−	0.438167i	0.108428	−	0.994104i	$-0.465418\pi$
$587$	22.7660	−	10.6159i	0.939652	−	0.438167i	0.831224	+	0.555937i	$0.187641\pi$
$588$	−0.211912	−	3.51564i	−0.00873911	−	0.144982i
$589$	−7.08970	−	8.44917i	−0.292126	−	0.348142i
$590$	0.503603	+	16.7248i	0.0207330	+	0.688549i
$591$	1.33469			0.0549017
$592$	6.81960	−	23.3558i	0.280284	−	0.959917i
$593$	1.27566			0.0523849			0.0261925	−	0.999657i	$-0.491662\pi$
$593$	1.27566			0.0523849			0.0261925	+	0.999657i	$0.491662\pi$
$594$	−0.180859	−	6.00638i	−0.00742073	−	0.246445i
$595$	35.8269	+	42.6968i	1.46876	+	1.75040i
$596$	1.41963	+	23.5518i	0.0581504	+	0.964720i
$597$	−0.105971	+	0.0494152i	−0.00433711	+	0.00202243i
$598$	11.9730	−	10.6768i	0.489613	−	0.436609i
$599$	−14.2404	+	39.1251i	−0.581846	+	1.59861i	0.203178	+	0.979142i	$0.434873\pi$
$599$	−14.2404	+	39.1251i	−0.581846	+	1.59861i	−0.785024	+	0.619466i	$0.787349\pi$
$600$	−0.0957342	−	1.05722i	−0.00390833	−	0.0431609i
$601$	2.07693	−	11.7789i	0.0847199	−	0.480470i	−0.912697	−	0.408638i	$-0.866004\pi$
$601$	2.07693	−	11.7789i	0.0847199	−	0.480470i	0.997417	−	0.0718330i	$-0.0228849\pi$
$602$	9.17977	+	18.2323i	0.374139	+	0.743094i
$603$	26.6410	+	15.3812i	1.08491	+	0.626371i
$604$	20.1059	−	19.0461i	0.818099	−	0.774976i
$605$	8.12465	+	5.68894i	0.330314	+	0.231288i
$606$	2.68190	+	0.885670i	0.108945	+	0.0359779i
$607$	34.0983	+	15.9003i	1.38401	+	0.645373i	0.964913	−	0.262570i	$-0.0845701\pi$
$607$	34.0983	+	15.9003i	1.38401	+	0.645373i	0.419094	+	0.907943i	$0.362348\pi$
$608$	1.68862	+	26.6645i	0.0684825	+	1.08139i
$609$	−2.25005	+	1.57550i	−0.0911767	+	0.0638426i
$610$	−26.5958	−	3.86819i	−1.07683	−	0.156619i
$611$	23.7131	+	2.07462i	0.959328	+	0.0839303i
$612$	−22.6158	−	41.7410i	−0.914191	−	1.68728i
$613$	−38.1158	+	13.8730i	−1.53948	+	0.560326i	−0.965921	−	0.258835i	$-0.916661\pi$
$613$	−38.1158	+	13.8730i	−1.53948	+	0.560326i	−0.573563	+	0.819162i	$0.694439\pi$
$614$	14.9240	−	27.7456i	0.602286	−	1.11972i
$615$	−0.258839	−	0.0693556i	−0.0104374	−	0.00279669i
$616$	−34.1648	−	33.9577i	−1.37654	−	1.36820i
$617$	5.48674	−	6.53884i	0.220888	−	0.263244i	−0.644208	−	0.764850i	$-0.722813\pi$
$617$	5.48674	−	6.53884i	0.220888	−	0.263244i	0.865096	+	0.501606i	$0.167257\pi$
$618$	−1.86233	+	2.83779i	−0.0749138	+	0.114153i
$619$	−0.440235	+	0.254170i	−0.0176945	+	0.0102159i	−0.508821	−	0.860872i	$-0.669919\pi$
$619$	−0.440235	+	0.254170i	−0.0176945	+	0.0102159i	0.491127	+	0.871088i	$0.336585\pi$
$620$	7.53498	+	2.23920i	0.302612	+	0.0899283i
$621$	−3.13450	+	0.839887i	−0.125783	+	0.0337035i
$622$	−10.1270	+	23.5427i	−0.406057	+	0.943975i
$623$	−4.42688	−	4.42688i	−0.177359	−	0.177359i
$624$	0.516110	+	2.44935i	0.0206609	+	0.0980525i
$625$	1.64371	+	9.32196i	0.0657485	+	0.372878i
$626$	1.99480	+	2.67382i	0.0797281	+	0.106867i
$627$	−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	$-0.0367422\pi$
$631$	−0.123298	−	1.40930i	−0.00490840	−	0.0561033i	−0.998254	+	0.0590695i	$0.981187\pi$
$632$	−18.5115	−	31.8389i	−0.736348	−	1.26648i
$633$	−0.293653	+	0.0517790i	−0.0116717	+	0.00205803i
$634$	−10.1575	−	25.4926i	−0.403405	−	1.01244i
$635$	4.85139	+	4.85139i	0.192521	+	0.192521i
$636$	−0.855774	+	1.71263i	−0.0339336	+	0.0679102i
$637$	9.51161	+	35.4978i	0.376864	+	1.40648i
$638$	−5.10956	+	21.6567i	−0.202290	+	0.857397i
$639$	−6.19139	+	3.57460i	−0.244928	+	0.141409i
$640$	−11.4788	−	15.1926i	−0.453741	−	0.600540i
$641$	−15.9993	−	13.4250i	−0.631934	−	0.530256i	0.269595	−	0.962974i	$-0.413110\pi$
$641$	−15.9993	−	13.4250i	−0.631934	−	0.530256i	−0.901529	+	0.432718i	$0.857555\pi$
$642$	−0.575180	−	0.453847i	−0.0227005	−	0.0179119i
$643$	−12.9094	−	3.45907i	−0.509098	−	0.136412i	−0.00487896	−	0.999988i	$-0.501553\pi$
$643$	−12.9094	−	3.45907i	−0.509098	−	0.136412i	−0.504219	+	0.863576i	$0.668220\pi$
$644$	−13.6114	+	22.1679i	−0.536365	+	0.873537i
$645$	−0.347235	−	0.954019i	−0.0136723	−	0.0375645i
$646$	−28.0713	−	45.4075i	−1.10445	−	1.78653i
$647$	−11.1439	−	0.974967i	−0.438113	−	0.0383299i	−0.134034	−	0.990977i	$-0.542793\pi$
$647$	−11.1439	−	0.974967i	−0.438113	−	0.0383299i	−0.304079	+	0.952647i	$0.598349\pi$
$648$	−6.31901	+	23.8729i	−0.248234	+	0.937816i
$649$	16.5727	+	23.6683i	0.650535	+	0.929061i
$650$	3.18755	+	10.6080i	0.125026	+	0.416081i
$651$	1.51863	+	0.708147i	0.0595197	+	0.0277545i
$652$	11.1205	−	28.1582i	0.435513	−	1.10276i
$653$	27.6899	−	39.5453i	1.08359	−	1.54753i	0.272906	−	0.962041i	$-0.412015\pi$
$653$	27.6899	−	39.5453i	1.08359	−	1.54753i	0.810683	−	0.585485i	$-0.199096\pi$
$654$	−2.20735	+	2.34440i	−0.0863140	+	0.0916734i
$655$	11.2746	+	6.50937i	0.440533	+	0.254342i
$656$	3.51897	−	1.06907i	0.137393	−	0.0417402i
$657$	−25.2323	−	4.44914i	−0.984406	−	0.173577i
$658$	−37.7936	+	7.84370i	−1.47335	+	0.305779i
$659$	3.06998	−	8.43471i	0.119590	−	0.328570i	−0.865426	−	0.501038i	$-0.832952\pi$
$659$	3.06998	−	8.43471i	0.119590	−	0.328570i	0.985015	+	0.172468i	$0.0551741\pi$
$660$	1.48975	+	1.87626i	0.0579883	+	0.0730334i
$661$	−13.7016	−	29.3832i	−0.532931	−	1.14287i	−0.969924	−	0.243409i	$-0.921734\pi$
$661$	−13.7016	−	29.3832i	−0.532931	−	1.14287i	0.436993	−	0.899465i	$-0.356043\pi$
$662$	26.5366	−	3.12894i	1.03137	−	0.121610i
$663$	−3.21484	−	3.83130i	−0.124854	−	0.148795i
$664$	−31.8962	−	2.69289i	−1.23781	−	0.104504i
$665$		−	32.9383i		−	1.27729i
$666$	13.3308	−	21.7955i	0.516558	−	0.844557i
$667$	12.0163			0.465273
$668$	0.678611	−	25.0697i	0.0262562	−	0.969977i
$669$	−1.70625	+	1.43171i	−0.0659673	+	0.0553531i
$670$	−24.4836	+	2.88687i	−0.945882	+	0.111529i
$671$	−42.0609	+	19.6133i	−1.62374	+	0.757165i
$672$	−1.94447	−	3.56292i	−0.0750096	−	0.137443i
$673$	−33.9342	−	12.3511i	−1.30807	−	0.476098i	−0.408453	−	0.912779i	$-0.633932\pi$
$673$	−33.9342	−	12.3511i	−1.30807	−	0.476098i	−0.899616	+	0.436681i	$0.856154\pi$
$674$	5.17260	+	24.9234i	0.199241	+	0.960014i
$675$	0.389081	−	2.20659i	0.0149757	−	0.0849317i
$676$	−0.0472175	−	0.108855i	−0.00181606	−	0.00418675i
$677$	20.9841	−	36.3455i	0.806484	−	1.39687i	−0.108800	−	0.994064i	$-0.534701\pi$
$677$	20.9841	−	36.3455i	0.806484	−	1.39687i	0.915285	−	0.402808i	$-0.131966\pi$
$678$	1.64347	−	1.74552i	0.0631171	−	0.0670362i
$679$	63.8176	+	44.6856i	2.44910	+	1.71488i
$680$	34.5301	+	15.9740i	1.32417	+	0.612576i
$681$	−0.566804	+	1.21551i	−0.0217200	+	0.0465786i
$682$	12.9996	−	3.90620i	0.497782	−	0.149576i
$683$	−36.6934	+	25.6930i	−1.40403	+	0.983115i	−0.406448	+	0.913674i	$0.633233\pi$
$683$	−36.6934	+	25.6930i	−1.40403	+	0.983115i	−0.997586	+	0.0694411i	$0.977878\pi$
$684$	−5.61759	+	27.4872i	−0.214794	+	1.05100i
$685$	0.979089	−	11.1910i	0.0374091	−	0.427588i
$686$	−9.76630	−	15.7977i	−0.372879	−	0.603160i
$687$	−1.22217	+	0.444834i	−0.0466287	+	0.0169715i
$688$	10.9649	+	8.59790i	0.418032	+	0.327792i
$689$	5.17042	−	19.2963i	0.196977	−	0.735130i
$690$	0.801419	−	1.01567i	0.0305095	−	0.0386660i
$691$	3.92107	−	4.67295i	0.149165	−	0.177767i	−0.686288	−	0.727330i	$-0.740761\pi$
$691$	3.92107	−	4.67295i	0.149165	−	0.177767i	0.835453	+	0.549562i	$0.185206\pi$
$692$	−8.80419	−	6.52679i	−0.334685	−	0.248111i
$693$	−25.2907	−	43.8048i	−0.960716	−	1.66401i
$694$	−2.76537	+	11.7209i	−0.104972	+	0.444920i
$695$	26.6086	−	7.12974i	1.00932	−	0.270447i
$696$	−0.932546	+	1.62662i	−0.0353481	+	0.0616567i
$697$	−5.19611	+	5.19611i	−0.196817	+	0.196817i
$698$	17.5037	−	6.97433i	0.662526	−	0.263982i
$699$	0.634388	+	3.59779i	0.0239947	+	0.136081i
$700$	−9.90031	−	14.9865i	−0.374197	−	0.566435i
$701$	6.74366	−	0.589994i	0.254705	−	0.0222838i	0.0409117	−	0.999163i	$-0.486974\pi$
$701$	6.74366	−	0.589994i	0.254705	−	0.0222838i	0.213793	+	0.976879i	$0.431418\pi$
$702$	−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
$706$	7.13850	−	5.32567i	0.268661	−	0.200434i
$707$	47.0620	−	8.29830i	1.76995	−	0.312090i
$708$	0.770497	+	2.30954i	0.0289570	+	0.0867979i
$709$	26.0034	−	26.0034i	0.976578	−	0.976578i	−0.0231539	−	0.999732i	$-0.507371\pi$
$709$	26.0034	−	26.0034i	0.976578	−	0.976578i	0.999732	+	0.0231539i	$0.00737077\pi$
$710$	2.26397	−	5.26314i	0.0849654	−	0.197522i
$711$	−10.0093	−	37.3551i	−0.375377	−	1.40093i
$712$	−4.02016	−	1.44940i	−0.150662	−	0.0543184i
$713$	−3.66512	−	6.34817i	−0.137260	−	0.237741i
$714$	6.78038	+	4.44969i	0.253750	+	0.166526i
$715$	−19.1498	−	16.0686i	−0.716163	−	0.600932i
$716$	7.08237	−	7.99094i	0.264681	−	0.298636i
$717$	−1.16446	+	4.34583i	−0.0434877	+	0.162298i
$718$	−20.1433	+	37.4488i	−0.751741	+	1.39758i
$719$	−5.43904	−	14.9436i	−0.202842	−	0.557303i	0.796006	−	0.605288i	$-0.206942\pi$
$719$	−5.43904	−	14.9436i	−0.202842	−	0.557303i	−0.998848	+	0.0479851i	$0.984720\pi$
$720$	−7.45741	−	18.5519i	−0.277921	−	0.691389i
$721$	−5.00549	+	57.2130i	−0.186414	+	2.13072i
$722$	−0.673267	+	4.62906i	−0.0250564	+	0.172276i
$723$	0.653069	+	0.932679i	0.0242879	+	0.0346867i
$724$	8.52025	−	2.03758i	0.316653	−	0.0757261i
$725$	−3.50643	+	7.51956i	−0.130225	+	0.279269i
$726$	1.37040	+	0.452560i	0.0508602	+	0.0167961i
$727$	3.17405	−	4.53301i	0.117719	−	0.168120i	−0.755968	−	0.654609i	$-0.772833\pi$
$727$	3.17405	−	4.53301i	0.117719	−	0.168120i	0.873687	+	0.486488i	$0.161722\pi$
$728$	27.3224	+	32.3613i	1.01264	+	1.19939i
$729$	−12.6971	+	21.9920i	−0.470263	+	0.814519i
$730$	18.3398	−	9.23390i	0.678788	−	0.341762i
$731$	−27.4177	−	4.83447i	−1.01408	−	0.178809i
$732$	−3.86815	+	0.574610i	−0.142971	+	0.0212382i
$733$	−14.9103	−	5.42689i	−0.550723	−	0.200447i	0.0516449	−	0.998666i	$-0.483554\pi$
$733$	−14.9103	−	5.42689i	−0.550723	−	0.200447i	−0.602368	+	0.798219i	$0.705776\pi$
$734$	27.0451	−	24.1173i	0.998254	−	0.890185i
$735$	1.25258	+	2.68617i	0.0462021	+	0.0990808i
$736$	−1.97204	+	17.6468i	−0.0726903	+	0.650468i
$737$	−32.6115	+	27.3643i	−1.20126	+	1.00798i
$738$	3.86013	−	0.116233i	0.142093	−	0.00427860i
$739$		−	34.9098i		−	1.28418i	−0.766630	−	0.642090i	$-0.778068\pi$
$739$		−	34.9098i		−	1.28418i	0.766630	−	0.642090i	$-0.221932\pi$
$740$	1.88184	+	20.3885i	0.0691777	+	0.749495i
$741$			2.95564i			0.108578i
$742$	0.974975	+	32.3792i	0.0357925	+	1.18868i
$743$	2.35804	−	1.97863i	0.0865080	−	0.0725888i	−0.598508	−	0.801117i	$-0.704240\pi$
$743$	2.35804	−	1.97863i	0.0865080	−	0.0725888i	0.685016	+	0.728528i	$0.259795\pi$
$744$	1.14377	−	0.00347681i	0.0419328	−	0.000127466i
$745$	−8.39123	−	17.9951i	−0.307431	−	0.659288i
$746$	−4.17412	−	4.68086i	−0.152825	−	0.171378i
$747$	−31.5850	−	11.4960i	−1.15564	−	0.420617i
$748$	64.9850	−	9.65345i	2.37609	−	0.352965i
$749$	−12.2084	−	2.15268i	−0.446087	−	0.0786571i
$750$	1.32850	+	2.63859i	0.0485099	+	0.0963477i
$751$	−21.6018	+	37.4154i	−0.788261	+	1.36531i	0.138770	+	0.990325i	$0.455685\pi$
$751$	−21.6018	+	37.4154i	−0.788261	+	1.36531i	−0.927031	+	0.374984i	$0.877648\pi$
$752$	−21.0702	+	15.8193i	−0.768350	+	0.576870i
$753$	−0.0611304	+	0.0873033i	−0.00222772	+	0.00318151i
$754$	6.13498	−	18.5774i	0.223423	−	0.676548i
$755$	−9.84947	+	21.1223i	−0.358459	+	0.768718i
$756$	−1.99266	−	8.33242i	−0.0724724	−	0.303047i
$757$	8.65917	+	12.3666i	0.314723	+	0.449471i	0.945082	−	0.326832i	$-0.105981\pi$
$757$	8.65917	+	12.3666i	0.314723	+	0.449471i	−0.630359	+	0.776304i	$0.717092\pi$
$758$	−14.6116	−	2.12516i	−0.530717	−	0.0771894i
$759$	0.194715	−	2.22561i	0.00706772	−	0.0807844i
$760$	−9.56393	−	20.3482i	−0.346920	−	0.738106i
$761$	0.437822	+	1.20291i	0.0158711	+	0.0436054i	0.947375	−	0.320125i	$-0.103725\pi$
$761$	0.437822	+	1.20291i	0.0158711	+	0.0436054i	−0.931504	+	0.363731i	$0.881503\pi$
$762$	0.879191	+	0.472907i	0.0318497	+	0.0171316i
$763$	−14.1012	+	52.6263i	−0.510497	+	1.90520i
$764$	−17.7964	+	20.0794i	−0.643851	+	0.726449i
$765$	30.6038	+	25.6797i	1.10648	+	0.928450i
$766$	7.63952	−	11.6410i	0.276027	−	0.420606i
$767$	−12.7022	−	22.0008i	−0.458648	−	0.794402i
$768$	−2.23575	−	1.63646i	−0.0806758	−	0.0590506i
$769$	−9.11304	−	34.0103i	−0.328625	−	1.22644i	−0.910618	−	0.413250i	$-0.864394\pi$
$769$	−9.11304	−	34.0103i	−0.328625	−	1.22644i	0.581993	−	0.813194i	$-0.302273\pi$
$770$	37.2373	+	16.0179i	1.34194	+	0.577244i
$771$	2.13270	−	2.13270i	0.0768073	−	0.0768073i
$772$	−26.7804	+	8.93432i	−0.963847	+	0.321553i
$773$	−32.2304	+	5.68309i	−1.15925	+	0.204407i	−0.720010	−	0.693964i	$-0.755863\pi$
$773$	−32.2304	+	5.68309i	−1.15925	+	0.204407i	−0.439238	+	0.898371i	$0.644752\pi$
$774$	8.74913	+	11.7273i	0.314481	+	0.421529i
$775$	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
$780$	−1.16108	−	1.75756i	−0.0415732	−	0.0629308i
$781$	−1.71801	−	9.74329i	−0.0614751	−	0.348642i
$782$	−13.1324	−	32.9588i	−0.469612	−	1.17860i
$783$	−2.79840	+	2.79840i	−0.100007	+	0.100007i
$784$	−34.0761	−	22.2149i	−1.21700	−	0.793389i
$785$	−10.4594	+	2.80260i	−0.373313	+	0.100029i
$786$	1.84370	+	0.434991i	0.0657624	+	0.0155156i
$787$	−10.8749	−	18.8359i	−0.387649	−	0.671428i	0.604484	−	0.796618i	$-0.293379\pi$
$787$	−10.8749	−	18.8359i	−0.387649	−	0.671428i	−0.992133	+	0.125189i	$0.960046\pi$
$788$	9.18016	−	12.3834i	0.327030	−	0.441141i
$789$	−1.18677	+	1.41434i	−0.0422501	+	0.0503517i
$790$	24.3306	+	19.1981i	0.865643	+	0.683038i
$791$	10.4990	−	39.1827i	0.373301	−	1.39318i
$792$	−28.3429	−	19.7178i	−1.00712	−	0.700641i
$793$	38.3438	−	13.9560i	1.36163	−	0.495592i
$794$	25.4751	−	15.7489i	0.904077	−	0.558908i
$795$	0.140419	−	1.60500i	0.00498014	−	0.0569233i
$796$	−0.270404	+	1.32310i	−0.00958421	+	0.0468960i
$797$	−36.1695	+	25.3262i	−1.28119	+	0.897100i	−0.998077	−	0.0619867i	$-0.980256\pi$
$797$	−36.1695	+	25.3262i	−1.28119	+	0.897100i	−0.283114	+	0.959086i	$0.591367\pi$
$798$	−1.37923	−	4.59001i	−0.0488241	−	0.162484i
$799$	22.2484	−	47.7119i	0.787092	−	1.68792i
$800$	−10.4675	−	6.38349i	−0.370083	−	0.225690i
$801$	−3.67585	−	2.57386i	−0.129880	−	0.0909428i
$802$	−18.2183	−	17.1533i	−0.643312	−	0.605702i
$803$	17.7285	−	30.7067i	0.625625	−	1.08361i
$804$	−3.29094	+	1.42749i	−0.116063	+	0.0503437i
$805$	3.80128	−	21.5581i	0.133977	−	0.759823i
$806$	−11.6856	+	2.42523i	−0.411608	+	0.0854251i
$807$	1.63555	+	0.595293i	0.0575742	+	0.0209553i
$808$	26.6639	−	18.7913i	0.938031	−	0.661075i
$809$	11.0611	−	5.15789i	0.388889	−	0.181342i	−0.218333	−	0.975874i	$-0.570062\pi$
$809$	11.0611	−	5.15789i	0.388889	−	0.181342i	0.607221	+	0.794533i	$0.292284\pi$
$810$	−2.43349	−	20.6385i	−0.0855042	−	0.725162i
$811$	−7.58302	+	6.36291i	−0.266276	+	0.223432i	−0.766143	−	0.642670i	$-0.777827\pi$
$811$	−7.58302	+	6.36291i	−0.266276	+	0.223432i	0.499867	+	0.866102i	$0.333382\pi$
$812$	−0.858432	+	31.7128i	−0.0301251	+	1.11290i
$813$	0.958429			0.0336136
$814$	22.0335	+	27.6517i	0.772274	+	0.969190i
$815$			25.4767i			0.892410i
$816$	5.48070	+	0.780128i	0.191863	+	0.0273099i
$817$	10.5756	+	12.6035i	0.369994	+	0.440942i
$818$	−0.358521	−	3.04062i	−0.0125354	−	0.106313i
$819$	18.7951	+	40.3063i	0.656755	+	1.40842i
$820$	−2.42382	+	1.92450i	−0.0846434	+	0.0672066i
$821$	2.65480	−	7.29401i	0.0926532	−	0.254563i	−0.884706	−	0.466149i	$-0.845641\pi$
$821$	2.65480	−	7.29401i	0.0926532	−	0.254563i	0.977359	+	0.211587i	$0.0678631\pi$
$822$	−0.332165	−	1.60049i	−0.0115856	−	0.0558234i
$823$	−29.9382	−	5.27891i	−1.04358	−	0.184011i	−0.374519	−	0.927219i	$-0.622192\pi$
$823$	−29.9382	−	5.27891i	−1.04358	−	0.184011i	−0.669061	+	0.743208i	$0.733303\pi$
$824$	13.5201	+	36.7977i	0.470994	+	1.28191i
$825$	1.33592	+	0.771293i	0.0465107	+	0.0268530i
$826$	29.9925	+	28.2391i	1.04357	+	0.982563i
$827$	14.3066	−	20.4319i	0.497489	−	0.710488i	−0.489369	−	0.872077i	$-0.662773\pi$
$827$	14.3066	−	20.4319i	0.497489	−	0.710488i	0.986858	+	0.161588i	$0.0516617\pi$
$828$	−6.84890	+	17.3420i	−0.238016	+	0.602678i
$829$	21.5970	+	10.0709i	0.750096	+	0.349776i	0.759782	−	0.650178i	$-0.225305\pi$
$829$	21.5970	+	10.0709i	0.750096	+	0.349776i	−0.00968623	+	0.999953i	$0.503083\pi$
$830$	25.7974	−	7.75173i	0.895442	−	0.269067i
$831$	−1.96615	−	2.80795i	−0.0682050	−	0.0974068i
$832$	26.2753	+	12.0584i	0.910932	+	0.418051i
$833$	80.9673	+	7.08372i	2.80535	+	0.245436i
$834$	3.40940	−	2.10772i	0.118058	−	0.0729845i
$835$	7.21815	+	19.8317i	0.249795	+	0.686305i
$836$	−33.0859	−	20.3152i	−1.14430	−	0.702617i
$837$	2.33193	+	0.624840i	0.0806034	+	0.0215976i
$838$	−32.4153	+	41.0813i	−1.11977	+	1.41913i
$839$	−6.51416	−	5.46603i	−0.224894	−	0.188708i	0.523378	−	0.852101i	$-0.324672\pi$
$839$	−6.51416	−	5.46603i	−0.224894	−	0.188708i	−0.748272	+	0.663392i	$0.769116\pi$
$840$	2.62326	+	2.18762i	0.0905111	+	0.0754802i
$841$	−12.4236	+	7.17274i	−0.428398	+	0.247336i
$842$	−4.55649	−	1.07503i	−0.157027	−	0.0370481i
$843$	−0.261775	−	0.976956i	−0.00901600	−	0.0336482i
$844$	−1.53937	+	3.08070i	−0.0529874	+	0.106042i
$845$	0.0706053	+	0.0706053i	0.00242889	+	0.00242889i
$846$	−25.7016	+	10.2407i	−0.883638	+	0.352084i
$847$	24.0477	−	4.24027i	0.826290	−	0.145697i
$848$	10.0039	+	19.7197i	0.343535	+	0.677177i
$849$	−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	−0.997624	−	0.0689003i	$-0.978051\pi$
$853$	−0.792087	−	9.05360i	−0.0271206	−	0.309989i	0.970503	−	0.241089i	$-0.0775046\pi$
$854$	−53.0341	+	39.5660i	−1.81479	+	1.35392i
$855$	−4.09970	−	23.2505i	−0.140207	−	0.795151i
$856$	−8.16702	+	2.21498i	−0.279143	+	0.0757063i
$857$	−21.4881	−	21.4881i	−0.734018	−	0.734018i	0.237395	−	0.971413i	$-0.423707\pi$
$857$	−21.4881	−	21.4881i	−0.734018	−	0.734018i	−0.971413	+	0.237395i	$0.923707\pi$
$858$	−3.34140	−	1.43733i	−0.114074	−	0.0490695i
$859$	22.8628	−	6.12606i	0.780068	−	0.209019i	0.153253	−	0.988187i	$-0.451025\pi$
$859$	22.8628	−	6.12606i	0.780068	−	0.209019i	0.626815	+	0.779168i	$0.284358\pi$
$860$	−11.2398	−	3.34019i	−0.383276	−	0.113899i
$861$	−0.571345	+	0.329866i	−0.0194714	+	0.0112418i
$862$	39.7773	+	26.1043i	1.35482	+	0.889115i
$863$	30.7997	−	36.7057i	1.04843	−	1.24948i	0.0809039	−	0.996722i	$-0.474219\pi$
$863$	30.7997	−	36.7057i	1.04843	−	1.24948i	0.967531	−	0.252754i	$-0.0813362\pi$
$864$	−3.65039	−	4.56890i	−0.124189	−	0.155437i
$865$	8.90849	+	2.38702i	0.302898	+	0.0811612i
$866$	27.4320	+	14.7553i	0.932177	+	0.501407i
$867$	−7.62777	+	2.77628i	−0.259053	+	0.0942874i
$868$	17.0156	−	9.21929i	0.577547	−	0.312923i
$869$	53.3147	+	4.66443i	1.80858	+	0.158230i
$870$	0.227096	−	1.56140i	0.00769928	−	0.0529365i
$871$	30.6610	−	21.4691i	1.03891	−	0.727452i
$872$	6.56927	+	36.6052i	0.222464	+	1.23961i
$873$	50.6095	+	23.5996i	1.71287	+	0.798725i
$874$	−6.57475	+	19.9090i	−0.222394	+	0.673433i
$875$	40.9447	+	28.6698i	1.38418	+	0.969216i
$876$	2.16904	−	2.05470i	0.0732849	−	0.0694220i
$877$	18.8523	+	10.8844i	0.636597	+	0.367540i	0.783303	−	0.621641i	$-0.213534\pi$
$877$	18.8523	+	10.8844i	0.636597	+	0.367540i	−0.146705	+	0.989180i	$0.546867\pi$
$878$	−19.7707	+	9.95431i	−0.667228	+	0.335942i
$879$	−0.106169	+	0.602114i	−0.00358099	+	0.0203088i
$880$	27.6549	−	0.916870i	0.932246	−	0.0309077i
$881$	−0.552662	+	1.51843i	−0.0186196	+	0.0511571i	−0.948654	−	0.316315i	$-0.897554\pi$
$881$	−0.552662	+	1.51843i	−0.0186196	+	0.0511571i	0.930035	+	0.367472i	$0.119777\pi$
$882$	−28.4285	−	31.8797i	−0.957236	−	1.07345i
$883$	−27.6133	+	12.8763i	−0.929260	+	0.433321i	−0.827486	−	0.561486i	$-0.810230\pi$
$883$	−27.6133	+	12.8763i	−0.929260	+	0.433321i	−0.101774	+	0.994808i	$0.532452\pi$
$884$	−57.6595	+	3.47554i	−1.93930	+	0.116895i
$885$	−1.31697	−	1.56950i	−0.0442693	−	0.0527581i
$886$	4.44062	−	0.133712i	0.149186	−	0.00449215i
$887$	−27.4615			−0.922066			−0.461033	−	0.887383i	$-0.652521\pi$
$887$	−27.4615			−0.922066			−0.461033	+	0.887383i	$0.652521\pi$
$888$	1.11596	+	2.76237i	0.0374493	+	0.0926990i
$889$	16.8913			0.566516
$890$	3.59459	−	0.108237i	0.120491	−	0.00362812i
$891$	−23.0668	−	27.4899i	−0.772767	−	0.920947i
$892$	1.54781	+	25.6783i	0.0518245	+	0.859772i
$893$	−28.1959	+	13.1480i	−0.943540	+	0.439980i
$894$	−1.92284	−	2.15627i	−0.0643094	−	0.0721166i
$895$	−3.07326	+	8.44370i	−0.102728	+	0.282242i
$896$	−46.4316	−	6.46517i	−1.55117	−	0.215986i
$897$	−0.341099	+	1.93447i	−0.0113890	+	0.0645899i
$898$	−49.5300	+	24.9378i	−1.65284	+	0.832184i
$899$	−7.74193	−	4.46981i	−0.258208	−	0.149076i
$900$	−8.85375	−	9.34641i	−0.295125	−	0.311547i
$901$	−36.1911	−	25.3413i	−1.20570	−	0.844240i
$902$	−1.67590	+	5.07479i	−0.0558013	+	0.168972i
$903$	−2.26532	−	1.05634i	−0.0753851	−	0.0351526i
$904$	−4.89113	−	27.2542i	−0.162676	−	0.906463i
$905$	−6.03892	+	4.22850i	−0.200740	+	0.140560i
$906$	−0.488087	+	3.35585i	−0.0162156	+	0.111491i
$907$	35.8195	+	3.13380i	1.18937	+	0.104056i	0.664606	−	0.747194i	$-0.268599\pi$
$907$	35.8195	+	3.13380i	1.18937	+	0.104056i	0.524760	+	0.851250i	$0.324155\pi$
$908$	7.37915	+	13.6194i	0.244886	+	0.451974i
$909$	32.1873	−	11.7152i	1.06759	−	0.388570i
$910$	−31.3884	−	16.8834i	−1.04051	−	0.559680i
$911$	−28.8625	−	7.73368i	−0.956257	−	0.256228i	−0.253242	−	0.967403i	$-0.581497\pi$
$911$	−28.8625	−	7.73368i	−0.956257	−	0.256228i	−0.703015	+	0.711175i	$0.748163\pi$
$912$	−2.18479	−	2.43508i	−0.0723456	−	0.0806336i
$913$	29.8992	−	35.6324i	0.989518	−	1.17926i
$914$	16.8411	+	11.0522i	0.557055	+	0.365573i
$915$	2.84996	−	1.64543i	0.0942168	−	0.0543961i
$916$	−4.27903	+	14.3991i	−0.141383	+	0.475760i
$917$	30.9596	−	8.29559i	1.02238	−	0.273945i
$918$	10.7339	+	4.61725i	0.354271	+	0.152392i
$919$	−8.11099	−	8.11099i	−0.267557	−	0.267557i	0.560558	−	0.828115i	$-0.310587\pi$
$919$	−8.11099	−	8.11099i	−0.267557	−	0.267557i	−0.828115	+	0.560558i	$0.810587\pi$
$920$	−3.91128	−	14.4216i	−0.128951	−	0.475466i
$921$	0.669877	+	3.79906i	0.0220732	+	0.125183i
$922$	1.10250	−	0.822515i	0.0363087	−	0.0270881i
$923$	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
$928$	8.67779	+	19.8404i	0.284862	+	0.651292i
$929$	−27.5268	+	4.85371i	−0.903124	+	0.159245i	−0.605880	−	0.795556i	$-0.707179\pi$
$929$	−27.5268	+	4.85371i	−0.903124	+	0.159245i	−0.297244	+	0.954801i	$0.596068\pi$
$930$	−0.894151	+	0.356273i	−0.0293204	+	0.0116827i
$931$	−33.9633	−	33.9633i	−1.11310	−	1.11310i
$932$	37.7442	+	18.8602i	1.23635	+	0.617785i
$933$	−0.812207	−	3.03120i	−0.0265905	−	0.0992370i
$934$	46.3091	+	10.9259i	1.51528	+	0.357507i
$935$	−47.8794	+	27.6432i	−1.56582	+	0.904029i
$936$	23.3143	+	19.4425i	0.762051	+	0.635499i
$937$	18.5305	+	15.5490i	0.605367	+	0.507963i	0.893166	−	0.449728i	$-0.148479\pi$
$937$	18.5305	+	15.5490i	0.605367	+	0.507963i	−0.287799	+	0.957691i	$0.592923\pi$
$938$	−37.5971	+	47.6485i	−1.22759	+	1.55578i
$939$	−0.394559	−	0.105722i	−0.0128759	−	0.00345010i
$940$	11.6016	−	18.8947i	0.378403	−	0.616276i
$941$	−4.07796	−	11.2041i	−0.132938	−	0.365243i	0.855307	−	0.518121i	$-0.173368\pi$
$941$	−4.07796	−	11.2041i	−0.132938	−	0.365243i	−0.988245	+	0.152877i	$0.951146\pi$
$942$	−1.34019	+	0.828515i	−0.0436656	+	0.0269945i
$943$	2.87511	+	0.251540i	0.0936265	+	0.00819126i
$944$	26.7278	+	8.73657i	0.869917	+	0.284351i
$945$	4.13528	+	5.90579i	0.134521	+	0.192115i
$946$	−19.3914	+	5.82683i	−0.630470	+	0.189447i
$947$	19.4428	+	9.06633i	0.631807	+	0.294616i	0.712018	−	0.702162i	$-0.247782\pi$
$947$	19.4428	+	9.06633i	0.631807	+	0.294616i	−0.0802109	+	0.996778i	$0.525559\pi$
$948$	4.19439	+	1.65649i	0.136227	+	0.0538003i
$949$	−17.8813	+	25.5371i	−0.580451	+	0.828970i
$950$	−10.5401	−	9.92392i	−0.341966	−	0.321974i
$951$	2.90999	+	1.68008i	0.0943627	+	0.0544804i
$952$	87.9213	−	32.3037i	2.84954	−	1.04697i
$953$	40.7096	+	7.17819i	1.31871	+	0.232525i	0.788340	−	0.615240i	$-0.210941\pi$
$953$	40.7096	+	7.17819i	1.31871	+	0.232525i	0.530372	+	0.847765i	$0.322052\pi$
$954$	4.71832	+	22.7345i	0.152761	+	0.736057i
$955$	7.72240	−	21.2171i	0.249891	−	0.686570i
$956$	32.3119	+	40.6953i	1.04504	+	1.31618i
$957$	−1.15147	−	2.46934i	−0.0372218	−	0.0798223i
$958$	−3.20739	−	27.2019i	−0.103626	−	0.878854i
$959$	−17.7777	−	21.1867i	−0.574073	−	0.684153i
$960$	2.25576	+	0.589754i	0.0728043	+	0.0190342i
$961$		−	25.5466i		−	0.824084i
$962$	−17.1800	−	25.9083i	−0.553905	−	0.835316i
$963$	−8.88565			−0.286336
$964$	13.1454	+	0.355832i	0.423386	+	0.0114606i
$965$	18.1992	−	15.2709i	0.585852	−	0.491588i
$966$	−0.372990	−	3.16333i	−0.0120007	−	0.101778i
$967$	35.9420	−	16.7600i	1.15582	−	0.538967i	0.252356	−	0.967634i	$-0.418795\pi$
$967$	35.9420	−	16.7600i	1.15582	−	0.538967i	0.903462	+	0.428668i	$0.141017\pi$
$968$	13.6247	−	9.60197i	0.437914	−	0.308619i
$969$	6.14250	+	2.23569i	0.197325	+	0.0718206i
$970$	−43.8179	+	9.09397i	−1.40691	+	0.291990i
$971$	−8.85823	+	50.2375i	−0.284274	+	1.61220i	0.423593	+	0.905852i	$0.360769\pi$
$971$	−8.85823	+	50.2375i	−0.284274	+	1.61220i	−0.707867	+	0.706345i	$0.750343\pi$
$972$	−3.67166	−	8.46467i	−0.117769	−	0.271504i
$973$	33.9102	−	58.7342i	1.08711	−	1.88293i
$974$	−18.6781	−	17.5862i	−0.598486	−	0.563497i
$975$	−1.11101	−	0.777941i	−0.0355809	−	0.0249140i
$976$	−21.2743	+	39.8414i	−0.680975	+	1.27529i
$977$	−14.7238	+	31.5754i	−0.471057	+	1.01019i	0.516984	+	0.855995i	$0.327055\pi$
$977$	−14.7238	+	31.5754i	−0.471057	+	1.01019i	−0.988041	+	0.154191i	$0.950723\pi$
$978$	1.06679	+	3.55022i	0.0341121	+	0.113524i
$979$	5.08691	−	3.56189i	0.162578	−	0.113839i
$980$	33.5381	+	6.85422i	1.07133	+	0.218950i
$981$	−3.40358	+	38.9030i	−0.108668	+	1.24208i
$982$	−5.60662	+	3.46606i	−0.178914	+	0.110606i
$983$	4.20354	−	1.52996i	0.134072	−	0.0487983i	−0.274113	−	0.961698i	$-0.588384\pi$
$983$	4.20354	−	1.52996i	0.134072	−	0.0487983i	0.408185	+	0.912899i	$0.366162\pi$
$984$	−0.257178	+	0.369675i	−0.00819855	+	0.0117848i
$985$	−3.35743	+	12.5301i	−0.106977	+	0.399242i
$986$	−33.9674	−	26.8020i	−1.08174	−	0.853551i
$987$	3.03804	−	3.62059i	0.0967017	−	0.115245i
$988$	27.4228	+	20.3293i	0.872437	+	0.646761i
$989$	5.46722	+	9.46950i	0.173847	+	0.301113i
$990$	28.2788	+	6.67194i	0.898759	+	0.212048i
$991$	−4.74919	+	1.27254i	−0.150863	+	0.0404236i	−0.333460	−	0.942764i	$-0.608216\pi$
$991$	−4.74919	+	1.27254i	−0.150863	+	0.0404236i	0.182597	+	0.983188i	$0.441550\pi$
$992$	7.83477	−	10.6360i	0.248754	−	0.337693i
$993$	−2.31354	+	2.31354i	−0.0734180	+	0.0734180i
$994$	−5.22117	−	13.1038i	−0.165605	−	0.415626i
$995$	−0.197340	−	1.11917i	−0.00625608	−	0.0354800i
$996$	3.27033	−	2.16043i	0.103624	−	0.0684560i
$997$	−59.0632	+	5.16736i	−1.87055	+	0.163652i	−0.965286	−	0.261197i	$-0.915883\pi$
$997$	−59.0632	+	5.16736i	−1.87055	+	0.163652i	−0.905264	+	0.424849i	$0.860327\pi$
$998$	−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.19.18	yes	432
8.3	odd	2	inner	296.2.bj.a.19.17	✓	432
37.2	odd	36	inner	296.2.bj.a.187.17	yes	432
296.187	even	36	inner	296.2.bj.a.187.18	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.19.17	✓	432	8.3	odd	2	inner
296.2.bj.a.19.18	yes	432	1.1	even	1	trivial
296.2.bj.a.187.17	yes	432	37.2	odd	36	inner
296.2.bj.a.187.18	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+(0.0425643 + 1.41357i) q^{2} +(-0.111309 - 0.132653i) q^{3} +(-1.99638 + 0.120336i) q^{4} +(1.52536 - 0.711286i) q^{5} +(0.182777 - 0.162990i) q^{6} +(1.41720 - 3.89371i) q^{7} +(-0.255078 - 2.81690i) q^{8} +(0.515737 - 2.92489i) q^{9} +(1.07038 + 2.12593i) q^{10} +(3.55947 + 2.05506i) q^{11} +(0.238178 + 0.251432i) q^{12} +(-2.96023 - 2.07277i) q^{13} +(5.56437 + 1.83758i) q^{14} +(-0.264141 - 0.123171i) q^{15} +(3.97104 - 0.480470i) q^{16} +(-6.54685 + 4.58415i) q^{17} +(4.15650 + 0.604536i) q^{18} +(4.70513 + 0.411645i) q^{19} +(-2.95959 + 1.60355i) q^{20} +(-0.674261 + 0.245411i) q^{21} +(-2.75347 + 5.11904i) q^{22} +(3.03200 + 0.812421i) q^{23} +(-0.345279 + 0.347384i) q^{24} +(-1.39315 + 1.66029i) q^{25} +(2.80402 - 4.27272i) q^{26} +(-0.895303 + 0.516904i) q^{27} +(-2.36070 + 7.94386i) q^{28} +(3.69768 - 0.990791i) q^{29} +(0.162868 - 0.378625i) q^{30} +(-1.65127 - 1.65127i) q^{31} +(0.848204 + 5.59290i) q^{32} +(-0.123592 - 0.700923i) q^{33} +(-6.75869 - 9.05932i) 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} +(-2.39271 - 4.11535i) q^{40} +(0.905476 - 0.159660i) q^{41} +(-0.375606 - 0.942672i) q^{42} +(2.46318 + 2.46318i) q^{43} +(-7.35334 - 3.67435i) q^{44} +(-1.29375 - 4.82834i) q^{45} +(-1.01936 + 4.32053i) q^{46} +(-5.70445 + 3.29346i) q^{47} +(-0.505750 - 0.473291i) q^{48} +(-7.79025 - 6.53680i) q^{49} +(-2.40624 - 1.89865i) q^{50} +(1.33683 + 0.358202i) q^{51} +(6.15915 + 3.78181i) q^{52} +(1.89069 + 5.19464i) q^{53} +(-0.768789 - 1.24357i) q^{54} +(6.89120 + 0.602902i) q^{55} +(-11.3297 - 2.99890i) q^{56} +(-0.469119 - 0.669971i) q^{57} +(1.55794 + 5.18477i) q^{58} +(6.37122 + 2.97095i) q^{59} +(0.542147 + 0.214110i) q^{60} +(-6.47649 + 9.24939i) q^{61} +(2.26390 - 2.40447i) q^{62} +(-10.6578 - 6.15328i) q^{63} +(-7.86987 + 1.43706i) q^{64} +(-5.98974 - 1.05615i) q^{65} +(0.985545 - 0.204540i) q^{66} +(-3.54253 + 9.73302i) q^{67} +(12.5183 - 9.93951i) q^{68} +(-0.229719 - 0.492635i) q^{69} +(9.79469 - 1.15490i) q^{70} +(-1.54727 - 1.84397i) q^{71} +(-8.37069 - 0.706707i) q^{72} -8.62675i q^{73} +(8.00643 + 3.14596i) q^{74} +0.375314 q^{75} +(-9.44274 - 0.255605i) q^{76} +(13.0463 - 10.9471i) q^{77} +(-0.878904 + 0.103632i) q^{78} +(11.8011 - 5.50296i) q^{79} +(5.71550 - 3.55743i) q^{80} +(-8.20447 - 2.98618i) q^{81} +(0.264232 + 1.27316i) q^{82} +(1.96520 - 11.1452i) q^{83} +(1.31655 - 0.571070i) q^{84} +(-6.72564 + 11.6491i) q^{85} +(-3.37704 + 3.58673i) q^{86} +(-0.543018 - 0.380226i) q^{87} +(4.88097 - 10.5509i) q^{88} +(0.638532 - 1.36934i) q^{89} +(6.77015 - 2.03433i) q^{90} +(-12.2660 + 8.58875i) q^{91} +(-6.15077 - 1.25704i) q^{92} +(-0.0352446 + 0.402848i) q^{93} +(-4.89836 - 7.92347i) q^{94} +(7.46980 - 2.71878i) q^{95} +(0.647504 - 0.735059i) q^{96} +(-4.86625 + 18.1611i) q^{97} +(8.90865 - 11.2903i) 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

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