LMFDB - Embedded newform 350.2.x.a.297.17

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [350,2,Mod(3,350)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("350.3"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(350, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([21, 10])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.x (of order $60$, degree $16$, 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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			297.17
Character	$\chi$	$=$	350.297
Dual form			350.2.x.a.33.17

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.838671 + 0.544639i) q^{2} +(0.872574 + 0.334950i) q^{3} +(0.406737 + 0.913545i) q^{4} +(2.07749 + 0.827074i) q^{5} +(0.549376 + 0.756151i) q^{6} +(0.861541 + 2.50155i) q^{7} +(-0.156434 + 0.987688i) q^{8} +(-1.58024 - 1.42285i) q^{9} +(1.29187 + 1.82512i) q^{10} +(-2.30041 - 2.55486i) q^{11} +(0.0489160 + 0.933373i) q^{12} +(0.449259 - 0.881721i) q^{13} +(-0.639893 + 2.56720i) q^{14} +(1.53573 + 1.41754i) q^{15} +(-0.669131 + 0.743145i) q^{16} +(0.720611 + 0.583539i) q^{17} +(-0.550359 - 2.05397i) q^{18} +(-4.29381 - 1.91173i) q^{19} +(0.0894196 + 2.23428i) q^{20} +(-0.0861354 + 2.47136i) q^{21} +(-0.537807 - 3.39558i) q^{22} +(1.13526 - 1.74814i) q^{23} +(-0.467327 + 0.809434i) q^{24} +(3.63190 + 3.43647i) q^{25} +(0.857000 - 0.494789i) q^{26} +(-2.17526 - 4.26920i) q^{27} +(-1.93486 + 1.80453i) q^{28} +(-0.250782 + 0.345171i) q^{29} +(0.515927 + 2.02527i) q^{30} +(6.48516 - 0.681618i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-1.15153 - 2.99983i) q^{33} +(0.286537 + 0.881870i) q^{34} +(-0.279129 + 5.90949i) q^{35} +(0.657101 - 2.02235i) q^{36} +(6.39127 - 0.334952i) q^{37} +(-2.55989 - 3.94189i) q^{38} +(0.687345 - 0.618888i) q^{39} +(-1.14188 + 1.92253i) q^{40} +(0.924781 - 0.300480i) q^{41} +(-1.41824 + 2.02574i) q^{42} +(-5.88242 + 5.88242i) q^{43} +(1.39832 - 3.14068i) q^{44} +(-2.10612 - 4.26294i) q^{45} +(1.90421 - 0.847811i) q^{46} +(-4.75565 - 5.87274i) q^{47} +(-0.832783 + 0.424324i) q^{48} +(-5.51550 + 4.31037i) q^{49} +(1.17433 + 4.86014i) q^{50} +(0.433330 + 0.750550i) q^{51} +(0.988223 + 0.0517906i) q^{52} +(0.761767 - 1.98447i) q^{53} +(0.500841 - 4.76518i) q^{54} +(-2.66601 - 7.21030i) q^{55} +(-2.60553 + 0.459605i) q^{56} +(-3.10634 - 3.10634i) q^{57} +(-0.398317 + 0.152900i) q^{58} +(-6.38176 - 1.35649i) q^{59} +(-0.670347 + 1.97953i) q^{60} +(-1.30284 - 6.12937i) q^{61} +(5.81015 + 2.96042i) q^{62} +(2.19790 - 5.17889i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(1.66258 - 1.46019i) q^{65} +(0.668073 - 3.14304i) q^{66} +(-3.77013 + 4.65572i) q^{67} +(-0.239991 + 0.895658i) q^{68} +(1.57614 - 1.14513i) q^{69} +(-3.45264 + 4.80409i) q^{70} +(11.7761 + 8.55586i) q^{71} +(1.65254 - 1.33820i) q^{72} +(0.812693 - 15.5071i) q^{73} +(5.54260 + 3.20002i) q^{74} +(2.01805 + 4.21508i) q^{75} -4.70016i q^{76} +(4.40922 - 7.95570i) q^{77} +(0.913526 - 0.144688i) q^{78} +(-11.5152 - 1.21030i) q^{79} +(-2.00475 + 0.990452i) q^{80} +(0.198702 + 1.89052i) q^{81} +(0.939239 + 0.251668i) q^{82} +(1.75461 + 0.277904i) q^{83} +(-2.29273 + 0.926504i) q^{84} +(1.01443 + 1.80829i) q^{85} +(-8.13721 + 1.72962i) q^{86} +(-0.334441 + 0.217188i) q^{87} +(2.88327 - 1.87242i) q^{88} +(-4.20551 + 0.893908i) q^{89} +(0.555421 - 4.72227i) q^{90} +(2.59272 + 0.364206i) q^{91} +(2.05876 + 0.326075i) q^{92} +(5.88709 + 1.57744i) q^{93} +(-0.789901 - 7.51541i) q^{94} +(-7.33919 - 7.52289i) q^{95} +(-0.929534 - 0.0976979i) q^{96} +(6.42485 - 1.01760i) q^{97} +(-6.97328 + 0.611028i) q^{98} +7.31044i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{17}{20}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.838671	+	0.544639i	0.593030	+	0.385118i
$2$	0.838671	+	0.544639i	0.593030	+	0.385118i
$3$	0.872574	+	0.334950i	0.503781	+	0.193383i	0.596968	−	0.802265i	$-0.296372\pi$
$3$	0.872574	+	0.334950i	0.503781	+	0.193383i	−0.0931867	+	0.995649i	$0.529705\pi$
$4$	0.406737	+	0.913545i	0.203368	+	0.456773i
$5$	2.07749	+	0.827074i	0.929080	+	0.369879i
$5$	2.07749	+	0.827074i	0.929080	+	0.369879i
$6$	0.549376	+	0.756151i	0.224282	+	0.308697i
$7$	0.861541	+	2.50155i	0.325632	+	0.945497i
$7$	0.861541	+	2.50155i	0.325632	+	0.945497i
$8$	−0.156434	+	0.987688i	−0.0553079	+	0.349201i
$9$	−1.58024	−	1.42285i	−0.526747	−	0.474285i
$10$	1.29187	+	1.82512i	0.408525	+	0.577155i
$11$	−2.30041	−	2.55486i	−0.693599	−	0.770320i	0.288744	−	0.957406i	$-0.406762\pi$
$11$	−2.30041	−	2.55486i	−0.693599	−	0.770320i	−0.982344	+	0.187086i	$0.940096\pi$
$12$	0.0489160	+	0.933373i	0.0141208	+	0.269442i
$13$	0.449259	−	0.881721i	0.124602	−	0.244545i	−0.820276	−	0.571968i	$-0.806180\pi$
$13$	0.449259	−	0.881721i	0.124602	−	0.244545i	0.944878	+	0.327423i	$0.106180\pi$
$14$	−0.639893	+	2.56720i	−0.171018	+	0.686114i
$15$	1.53573	+	1.41754i	0.396524	+	0.366007i
$16$	−0.669131	+	0.743145i	−0.167283	+	0.185786i
$17$	0.720611	+	0.583539i	0.174774	+	0.141529i	0.712716	−	0.701453i	$-0.247465\pi$
$17$	0.720611	+	0.583539i	0.174774	+	0.141529i	−0.537942	+	0.842982i	$0.680798\pi$
$18$	−0.550359	−	2.05397i	−0.129721	−	0.484124i
$19$	−4.29381	−	1.91173i	−0.985068	−	0.438580i	−0.149975	−	0.988690i	$-0.547919\pi$
$19$	−4.29381	−	1.91173i	−0.985068	−	0.438580i	−0.835093	+	0.550109i	$0.814586\pi$
$20$	0.0894196	+	2.23428i	0.0199948	+	0.499600i
$21$	−0.0861354	+	2.47136i	−0.0187963	+	0.539295i
$22$	−0.537807	−	3.39558i	−0.114661	−	0.723940i
$23$	1.13526	−	1.74814i	0.236718	−	0.364513i	−0.700269	−	0.713879i	$-0.746936\pi$
$23$	1.13526	−	1.74814i	0.236718	−	0.364513i	0.936986	+	0.349366i	$0.113603\pi$
$24$	−0.467327	+	0.809434i	−0.0953927	+	0.165225i
$25$	3.63190	+	3.43647i	0.726379	+	0.687294i
$26$	0.857000	−	0.494789i	0.168072	−	0.0970362i
$27$	−2.17526	−	4.26920i	−0.418630	−	0.821607i
$28$	−1.93486	+	1.80453i	−0.365654	+	0.341024i
$29$	−0.250782	+	0.345171i	−0.0465690	+	0.0640967i	−0.831666	−	0.555276i	$-0.812613\pi$
$29$	−0.250782	+	0.345171i	−0.0465690	+	0.0640967i	0.785097	+	0.619372i	$0.212613\pi$
$30$	0.515927	+	2.02527i	0.0941950	+	0.369762i
$31$	6.48516	−	0.681618i	1.16477	−	0.122422i	0.497653	−	0.867376i	$-0.334195\pi$
$31$	6.48516	−	0.681618i	1.16477	−	0.122422i	0.667116	+	0.744954i	$0.267529\pi$
$32$	−0.965926	+	0.258819i	−0.170753	+	0.0457532i
$33$	−1.15153	−	2.99983i	−0.200455	−	0.522203i
$34$	0.286537	+	0.881870i	0.0491407	+	0.151240i
$35$	−0.279129	+	5.90949i	−0.0471814	+	0.998886i
$36$	0.657101	−	2.02235i	0.109517	−	0.337058i
$37$	6.39127	−	0.334952i	1.05072	−	0.0550658i	0.480851	−	0.876802i	$-0.340328\pi$
$37$	6.39127	−	0.334952i	1.05072	−	0.0550658i	0.569868	+	0.821737i	$0.306994\pi$
$38$	−2.55989	−	3.94189i	−0.415269	−	0.639459i
$39$	0.687345	−	0.618888i	0.110063	−	0.0991014i
$40$	−1.14188	+	1.92253i	−0.180547	+	0.303978i
$41$	0.924781	−	0.300480i	0.144427	−	0.0469270i	−0.235912	−	0.971775i	$-0.575808\pi$
$41$	0.924781	−	0.300480i	0.144427	−	0.0469270i	0.380338	+	0.924847i	$0.375808\pi$
$42$	−1.41824	+	2.02574i	−0.218839	+	0.312579i
$43$	−5.88242	+	5.88242i	−0.897061	+	0.897061i	−0.995175	−	0.0981140i	$-0.968719\pi$
$43$	−5.88242	+	5.88242i	−0.897061	+	0.897061i	0.0981140	+	0.995175i	$0.468719\pi$
$44$	1.39832	−	3.14068i	0.210805	−	0.473476i
$45$	−2.10612	−	4.26294i	−0.313962	−	0.635481i
$46$	1.90421	−	0.847811i	0.280761	−	0.125003i
$47$	−4.75565	−	5.87274i	−0.693683	−	0.856627i	0.301621	−	0.953428i	$-0.402472\pi$
$47$	−4.75565	−	5.87274i	−0.693683	−	0.856627i	−0.995304	+	0.0968008i	$0.969139\pi$
$48$	−0.832783	+	0.424324i	−0.120202	+	0.0612459i
$49$	−5.51550	+	4.31037i	−0.787928	+	0.615767i
$50$	1.17433	+	4.86014i	0.166075	+	0.687327i
$51$	0.433330	+	0.750550i	0.0606784	+	0.105098i
$52$	0.988223	+	0.0517906i	0.137042	+	0.00718206i
$53$	0.761767	−	1.98447i	0.104637	−	0.272588i	−0.871260	−	0.490822i	$-0.836696\pi$
$53$	0.761767	−	1.98447i	0.104637	−	0.272588i	0.975896	+	0.218234i	$0.0700297\pi$
$54$	0.500841	−	4.76518i	0.0681558	−	0.648459i
$55$	−2.66601	−	7.21030i	−0.359484	−	0.972237i
$56$	−2.60553	+	0.459605i	−0.348178	+	0.0614173i
$57$	−3.10634	−	3.10634i	−0.411444	−	0.411444i
$58$	−0.398317	+	0.152900i	−0.0523016	+	0.0200767i
$59$	−6.38176	−	1.35649i	−0.830835	−	0.176599i	−0.227188	−	0.973851i	$-0.572953\pi$
$59$	−6.38176	−	1.35649i	−0.830835	−	0.176599i	−0.603647	+	0.797252i	$0.706286\pi$
$60$	−0.670347	+	1.97953i	−0.0865414	+	0.255556i
$61$	−1.30284	−	6.12937i	−0.166811	−	0.784786i	−0.979397	−	0.201944i	$-0.935274\pi$
$61$	−1.30284	−	6.12937i	−0.166811	−	0.784786i	0.812586	−	0.582842i	$-0.198059\pi$
$62$	5.81015	+	2.96042i	0.737890	+	0.375974i
$63$	2.19790	−	5.17889i	0.276909	−	0.652479i
$64$	−0.951057	−	0.309017i	−0.118882	−	0.0386271i
$65$	1.66258	−	1.46019i	0.206218	−	0.181115i
$66$	0.668073	−	3.14304i	0.0822341	−	0.386881i
$67$	−3.77013	+	4.65572i	−0.460594	+	0.568787i	−0.953537	−	0.301275i	$-0.902588\pi$
$67$	−3.77013	+	4.65572i	−0.460594	+	0.568787i	0.492943	+	0.870062i	$0.335921\pi$
$68$	−0.239991	+	0.895658i	−0.0291032	+	0.108614i
$69$	1.57614	−	1.14513i	0.189745	−	0.137858i
$70$	−3.45264	+	4.80409i	−0.412669	+	0.574199i
$71$	11.7761	+	8.55586i	1.39757	+	1.01539i	0.994986	+	0.100011i	$0.0318877\pi$
$71$	11.7761	+	8.55586i	1.39757	+	1.01539i	0.402583	+	0.915383i	$0.368112\pi$
$72$	1.65254	−	1.33820i	0.194754	−	0.157708i
$73$	0.812693	−	15.5071i	0.0951186	−	1.81497i	−0.369252	−	0.929329i	$-0.620386\pi$
$73$	0.812693	−	15.5071i	0.0951186	−	1.81497i	0.464371	−	0.885641i	$-0.346281\pi$
$74$	5.54260	+	3.20002i	0.644314	+	0.371995i
$75$	2.01805	+	4.21508i	0.233025	+	0.486716i
$76$		−	4.70016i		−	0.539146i
$77$	4.40922	−	7.95570i	0.502477	−	0.906637i
$78$	0.913526	−	0.144688i	0.103436	−	0.0163827i
$79$	−11.5152	−	1.21030i	−1.29556	−	0.136169i	−0.568467	−	0.822706i	$-0.692463\pi$
$79$	−11.5152	−	1.21030i	−1.29556	−	0.136169i	−0.727095	+	0.686537i	$0.759130\pi$
$80$	−2.00475	+	0.990452i	−0.224137	+	0.110736i
$81$	0.198702	+	1.89052i	0.0220780	+	0.210058i
$82$	0.939239	+	0.251668i	0.103722	+	0.0277921i
$83$	1.75461	+	0.277904i	0.192594	+	0.0305039i	0.251986	−	0.967731i	$-0.418916\pi$
$83$	1.75461	+	0.277904i	0.192594	+	0.0305039i	−0.0593922	+	0.998235i	$0.518916\pi$
$84$	−2.29273	+	0.926504i	−0.250158	+	0.101090i
$85$	1.01443	+	1.80829i	0.110030	+	0.196137i
$86$	−8.13721	+	1.72962i	−0.877458	+	0.186510i
$87$	−0.334441	+	0.217188i	−0.0358558	+	0.0232850i
$88$	2.88327	−	1.87242i	0.307358	−	0.199600i
$89$	−4.20551	+	0.893908i	−0.445783	+	0.0947540i	−0.425333	−	0.905037i	$-0.639843\pi$
$89$	−4.20551	+	0.893908i	−0.445783	+	0.0947540i	−0.0204495	+	0.999791i	$0.506510\pi$
$90$	0.555421	−	4.72227i	0.0585465	−	0.497771i
$91$	2.59272	+	0.364206i	0.271791	+	0.0381791i
$92$	2.05876	+	0.326075i	0.214641	+	0.0339957i
$93$	5.88709	+	1.57744i	0.610463	+	0.163573i
$94$	−0.789901	−	7.51541i	−0.0814721	−	0.775155i
$95$	−7.33919	−	7.52289i	−0.752985	−	0.771832i
$96$	−0.929534	−	0.0976979i	−0.0948701	−	0.00997125i
$97$	6.42485	−	1.01760i	0.652344	−	0.103321i	0.178514	−	0.983937i	$-0.442871\pi$
$97$	6.42485	−	1.01760i	0.652344	−	0.103321i	0.473830	+	0.880616i	$0.342871\pi$
$98$	−6.97328	+	0.611028i	−0.704408	+	0.0617232i
$99$			7.31044i			0.734727i
$100$	−1.66215	+	4.71564i	−0.166215	+	0.471564i
$101$	3.27459	+	1.89058i	0.325833	+	0.188120i	0.653990	−	0.756503i	$-0.273094\pi$
$101$	3.27459	+	1.89058i	0.325833	+	0.188120i	−0.328156	+	0.944623i	$0.606427\pi$
$102$	−0.0453575	+	0.865473i	−0.00449106	+	0.0856946i
$103$	−14.1414	+	11.4515i	−1.39340	+	1.12835i	−0.417860	+	0.908512i	$0.637220\pi$
$103$	−14.1414	+	11.4515i	−1.39340	+	1.12835i	−0.975536	+	0.219838i	$0.929447\pi$
$104$	0.800586	+	0.581660i	0.0785039	+	0.0570364i
$105$	−2.22294	+	5.06298i	−0.216937	+	0.494096i
$106$	1.71969	−	1.24943i	0.167031	−	0.121355i
$107$	4.03339	−	15.0528i	0.389923	−	1.45521i	−0.440336	−	0.897833i	$-0.645141\pi$
$107$	4.03339	−	15.0528i	0.389923	−	1.45521i	0.830259	−	0.557378i	$-0.188193\pi$
$108$	3.01534	−	3.72364i	0.290152	−	0.358307i
$109$	−2.77252	+	13.0437i	−0.265559	+	1.24936i	0.619916	+	0.784668i	$0.287167\pi$
$109$	−2.77252	+	13.0437i	−0.265559	+	1.24936i	−0.885475	+	0.464688i	$0.846167\pi$
$110$	1.69111	−	7.49908i	0.161241	−	0.715009i
$111$	5.68905	+	1.84849i	0.539981	+	0.175450i
$112$	−2.43550	−	1.03361i	−0.230133	−	0.0976673i
$113$	11.0507	+	5.63060i	1.03956	+	0.529682i	0.888516	−	0.458845i	$-0.151737\pi$
$113$	11.0507	+	5.63060i	1.03956	+	0.529682i	0.151043	+	0.988527i	$0.451737\pi$
$114$	−0.913361	−	4.29703i	−0.0855441	−	0.402453i
$115$	3.80433	−	2.69280i	0.354755	−	0.251105i
$116$	−0.417332	−	0.0887066i	−0.0387483	−	0.00823621i
$117$	−1.96450	+	0.754100i	−0.181618	+	0.0697166i
$118$	−4.61340	−	4.61340i	−0.424698	−	0.424698i
$119$	−0.838917	+	2.30539i	−0.0769034	+	0.211334i
$120$	−1.64033	+	1.29507i	−0.149741	+	0.118223i
$121$	−0.0856303	+	0.814718i	−0.00778457	+	0.0740652i
$122$	2.24564	−	5.85010i	0.203311	−	0.529643i
$123$	0.907586	+	0.0475646i	0.0818343	+	0.00428875i
$124$	3.26044	+	5.64725i	0.292796	+	0.507138i
$125$	4.70299	+	10.1431i	0.420649	+	0.907224i
$126$	4.66394	−	3.14632i	0.415497	−	0.280297i
$127$	−4.42953	+	2.25696i	−0.393058	+	0.200273i	−0.639338	−	0.768926i	$-0.720792\pi$
$127$	−4.42953	+	2.25696i	−0.393058	+	0.200273i	0.246280	+	0.969199i	$0.420792\pi$
$128$	−0.629320	−	0.777146i	−0.0556246	−	0.0686906i
$129$	−7.10317	+	3.16254i	−0.625399	+	0.278446i
$130$	2.18963	−	0.319115i	0.192044	−	0.0279882i
$131$	2.45081	−	5.50461i	0.214128	−	0.480940i	−0.774264	−	0.632863i	$-0.781880\pi$
$131$	2.45081	−	5.50461i	0.214128	−	0.480940i	0.988392	+	0.151923i	$0.0485464\pi$
$132$	2.27211	−	2.27211i	0.197762	−	0.197762i
$133$	1.08299	−	12.3882i	0.0939070	−	1.07419i
$134$	−5.69758	+	1.85126i	−0.492196	+	0.159924i
$135$	−0.988137	−	10.6683i	−0.0850453	−	0.918181i
$136$	−0.689083	+	0.620454i	−0.0590884	+	0.0532035i
$137$	−3.42725	−	5.27750i	−0.292810	−	0.450888i	0.661397	−	0.750036i	$-0.269964\pi$
$137$	−3.42725	−	5.27750i	−0.292810	−	0.450888i	−0.954207	+	0.299149i	$0.903297\pi$
$138$	1.94554	−	0.101962i	0.165616	−	0.00867955i
$139$	−3.49526	+	10.7573i	−0.296464	+	0.912423i	0.686262	+	0.727355i	$0.259251\pi$
$139$	−3.49526	+	10.7573i	−0.296464	+	0.912423i	−0.982726	+	0.185068i	$0.940749\pi$
$140$	−5.51212	+	2.14861i	−0.465859	+	0.181591i
$141$	−2.18259	−	6.71731i	−0.183807	−	0.565699i
$142$	5.21644	+	13.5893i	0.437754	+	1.14039i
$143$	−3.28616	+	0.880523i	−0.274802	+	0.0736330i
$144$	2.11477	−	0.222272i	0.176231	−	0.0185226i
$145$	−0.806478	+	0.509674i	−0.0669744	+	0.0423261i
$146$	9.12736	−	12.5627i	0.755386	−	1.03970i
$147$	−6.25644	+	1.91371i	−0.516022	+	0.157840i
$148$	2.90556	+	5.70248i	0.238835	+	0.468741i
$149$	−3.29435	+	1.90199i	−0.269884	+	0.155817i	−0.628835	−	0.777539i	$-0.716468\pi$
$149$	−3.29435	+	1.90199i	−0.269884	+	0.155817i	0.358951	+	0.933356i	$0.383134\pi$
$150$	−0.603215	+	4.63417i	−0.0492523	+	0.378379i
$151$	−7.55838	+	13.0915i	−0.615092	+	1.06537i	0.375276	+	0.926913i	$0.377548\pi$
$151$	−7.55838	+	13.0915i	−0.615092	+	1.06537i	−0.990368	+	0.138458i	$0.955785\pi$
$152$	2.55989	−	3.94189i	0.207635	−	0.319729i
$153$	−0.308447	−	1.94746i	−0.0249364	−	0.157443i
$154$	8.03087	−	4.27078i	0.647146	−	0.344149i
$155$	14.0366	+	3.94766i	1.12745	+	0.317084i
$156$	0.844951	+	0.376196i	0.0676502	+	0.0301198i
$157$	2.66980	+	9.96384i	0.213074	+	0.795201i	0.986836	+	0.161725i	$0.0517058\pi$
$157$	2.66980	+	9.96384i	0.213074	+	0.795201i	−0.773762	+	0.633476i	$0.781628\pi$
$158$	−8.99829	−	7.28667i	−0.715865	−	0.579696i
$159$	1.32940	−	1.47644i	0.105428	−	0.117090i
$160$	−2.22076	−	0.261200i	−0.175566	−	0.0206496i
$161$	5.35114	+	1.33381i	0.421729	+	0.105119i
$162$	−0.863008	+	1.69375i	−0.0678043	+	0.133073i
$163$	0.911370	+	17.3900i	0.0713840	+	1.36209i	0.766062	+	0.642767i	$0.222214\pi$
$163$	0.911370	+	17.3900i	0.0713840	+	1.36209i	−0.694678	+	0.719321i	$0.744453\pi$
$164$	0.650644	+	0.722613i	0.0508068	+	0.0564266i
$165$	0.0888019	−	7.18450i	0.00691322	−	0.559313i
$166$	1.32019	+	1.18870i	0.102466	+	0.0922611i
$167$	1.79830	−	11.3540i	0.139157	−	0.878601i	−0.815037	−	0.579410i	$-0.803283\pi$
$167$	1.79830	−	11.3540i	0.139157	−	0.878601i	0.954193	−	0.299191i	$-0.0967168\pi$
$168$	−2.42746	−	0.471681i	−0.187283	−	0.0363910i
$169$	7.06561	+	9.72498i	0.543508	+	0.748075i
$170$	−0.134096	+	2.06906i	−0.0102847	+	0.158690i
$171$	4.06514	+	9.13046i	0.310869	+	0.698223i
$172$	−7.76646	−	2.98126i	−0.592187	−	0.227319i
$173$	−17.4051	−	11.3030i	−1.32329	−	0.859352i	−0.326964	−	0.945037i	$-0.606026\pi$
$173$	−17.4051	−	11.3030i	−1.32329	−	0.859352i	−0.996322	+	0.0856848i	$0.972692\pi$
$174$	−0.398775			−0.0302311
$175$	−5.46748	+	12.0460i	−0.413302	+	0.910594i
$176$	3.43791			0.259142
$177$	−5.11421	−	3.32121i	−0.384408	−	0.249637i
$178$	−4.01389	−	1.54079i	−0.300854	−	0.115487i
$179$	0.124972	+	0.280691i	0.00934082	+	0.0209798i	0.918156	−	0.396220i	$-0.129678\pi$
$179$	0.124972	+	0.280691i	0.00934082	+	0.0209798i	−0.908815	+	0.417200i	$0.863012\pi$
$180$	3.03775	−	3.65793i	0.226420	−	0.272646i
$181$	13.6085	+	18.7304i	1.01151	+	1.39222i	0.917990	+	0.396604i	$0.129811\pi$
$181$	13.6085	+	18.7304i	1.01151	+	1.39222i	0.0935185	+	0.995618i	$0.470189\pi$
$182$	1.97608	+	1.71755i	0.146477	+	0.127313i
$183$	0.916210	−	5.78472i	0.0677282	−	0.427619i
$184$	1.54903	+	1.39475i	0.114196	+	0.102822i
$185$	13.5548	+	4.59020i	0.996569	+	0.337478i
$186$	4.07820	+	4.52929i	0.299028	+	0.332104i
$187$	−0.166837	−	3.18344i	−0.0122003	−	0.232796i
$188$	3.43072	−	6.73316i	0.250211	−	0.491066i
$189$	8.80552	−	9.11961i	0.640508	−	0.663354i
$190$	−2.05790	−	10.3064i	−0.149296	−	0.747708i
$191$	−15.4445	+	17.1528i	−1.11752	+	1.24114i	−0.149911	+	0.988700i	$0.547899\pi$
$191$	−15.4445	+	17.1528i	−1.11752	+	1.24114i	−0.967613	+	0.252437i	$0.918768\pi$
$192$	−0.726362	−	0.588197i	−0.0524207	−	0.0424494i
$193$	2.57490	+	9.60966i	0.185345	+	0.691719i	0.994556	+	0.104200i	$0.0332283\pi$
$193$	2.57490	+	9.60966i	0.185345	+	0.691719i	−0.809211	+	0.587518i	$0.800105\pi$
$194$	5.94255	+	2.64579i	0.426650	+	0.189957i
$195$	1.93982	−	0.717246i	0.138913	−	0.0513630i
$196$	−6.18108	−	3.28547i	−0.441505	−	0.234676i
$197$	−0.0760704	−	0.480289i	−0.00541979	−	0.0342192i	0.984830	−	0.173521i	$-0.0555143\pi$
$197$	−0.0760704	−	0.480289i	−0.00541979	−	0.0342192i	−0.990250	+	0.139301i	$0.955514\pi$
$198$	−3.98155	+	6.13105i	−0.282957	+	0.435715i
$199$	2.02114	−	3.50071i	0.143275	−	0.248159i	−0.785453	−	0.618921i	$-0.787570\pi$
$199$	2.02114	−	3.50071i	0.143275	−	0.248159i	0.928728	+	0.370762i	$0.120903\pi$
$200$	−3.96232	+	3.04960i	−0.280178	+	0.215639i
$201$	−4.84915	+	2.79966i	−0.342033	+	0.197473i
$202$	1.71661	+	3.36904i	0.120780	+	0.237045i
$203$	−1.07952	−	0.329964i	−0.0757676	−	0.0231589i
$204$	−0.509410	+	0.701143i	−0.0356659	+	0.0490899i
$205$	2.16974	+	0.140621i	0.151541	+	0.00982137i
$206$	−18.0969	+	1.90206i	−1.26087	+	0.132523i
$207$	−4.28133	+	1.14718i	−0.297573	+	0.0797345i
$208$	0.354633	+	0.923851i	0.0245894	+	0.0640576i
$209$	4.99332	+	15.3679i	0.345395	+	1.06302i
$210$	−4.62181	+	3.03547i	−0.318935	+	0.209467i
$211$	−1.93951	+	5.96921i	−0.133522	+	0.410937i	−0.995357	−	0.0962505i	$-0.969315\pi$
$211$	−1.93951	+	5.96921i	−0.133522	+	0.410937i	0.861835	+	0.507188i	$0.169315\pi$
$212$	2.12274	−	0.111248i	0.145791	−	0.00764056i
$213$	7.40977	+	11.4100i	0.507709	+	0.781803i
$214$	11.5810	−	10.4276i	0.791664	−	0.712817i
$215$	−17.0859	+	7.35545i	−1.16525	+	0.501638i
$216$	4.55692	−	1.48063i	0.310059	−	0.100744i
$217$	7.29233	+	15.6357i	0.495036	+	1.06142i
$218$	−9.42932	+	9.42932i	−0.638634	+	0.638634i
$219$	5.90324	−	13.2589i	0.398904	−	0.895953i
$220$	5.50258	−	5.36821i	0.370984	−	0.361925i
$221$	0.838260	−	0.373218i	0.0563875	−	0.0251053i
$222$	3.76448	+	4.64875i	0.252656	+	0.312004i
$223$	−0.992470	+	0.505689i	−0.0664607	+	0.0338634i	−0.486905	−	0.873455i	$-0.661874\pi$
$223$	−0.992470	+	0.505689i	−0.0664607	+	0.0338634i	0.420444	+	0.907318i	$0.361874\pi$
$224$	−1.47963	−	2.19333i	−0.0988621	−	0.146548i
$225$	−0.849669	−	10.5981i	−0.0566446	−	0.706540i
$226$	6.20123	+	10.7408i	0.412500	+	0.714470i
$227$	−5.51317	−	0.288933i	−0.365922	−	0.0191771i	−0.131511	−	0.991315i	$-0.541983\pi$
$227$	−5.51317	−	0.288933i	−0.365922	−	0.0191771i	−0.234411	+	0.972138i	$0.575316\pi$
$228$	1.57432	−	4.10124i	0.104262	−	0.271611i
$229$	2.77306	−	26.3839i	0.183249	−	1.74350i	−0.387050	−	0.922059i	$-0.626506\pi$
$229$	2.77306	−	26.3839i	0.183249	−	1.74350i	0.570299	−	0.821437i	$-0.306828\pi$
$230$	4.65718	−	0.186388i	0.307085	−	0.0122901i
$231$	6.51213	−	5.46508i	0.428467	−	0.359576i
$232$	−0.301691	−	0.301691i	−0.0198070	−	0.0198070i
$233$	24.0565	−	9.23444i	1.57600	−	0.604968i	0.595824	−	0.803115i	$-0.296825\pi$
$233$	24.0565	−	9.23444i	1.57600	−	0.604968i	0.980172	+	0.198146i	$0.0634921\pi$
$234$	−2.05828	−	0.437501i	−0.134554	−	0.0286003i
$235$	−5.02261	−	16.1338i	−0.327639	−	1.05245i
$236$	−1.35649	−	6.38176i	−0.0882997	−	0.415418i
$237$	−9.64248	−	4.91309i	−0.626347	−	0.319140i
$238$	−1.95918	+	1.47655i	−0.126995	+	0.0957107i
$239$	25.3951	+	8.25136i	1.64267	+	0.533736i	0.977133	−	0.212628i	$-0.0682022\pi$
$239$	25.3951	+	8.25136i	1.64267	+	0.533736i	0.665538	+	0.746364i	$0.268202\pi$
$240$	−2.08104	+	0.192754i	−0.134331	+	0.0124422i
$241$	−1.89062	+	8.89466i	−0.121785	+	0.572955i	0.874363	+	0.485272i	$0.161280\pi$
$241$	−1.89062	+	8.89466i	−0.121785	+	0.572955i	−0.996148	+	0.0876828i	$0.972054\pi$
$242$	−0.515543	+	0.636642i	−0.0331403	+	0.0409249i
$243$	−4.18019	+	15.6007i	−0.268159	+	1.00078i
$244$	5.06955	−	3.68324i	0.324545	−	0.235796i
$245$	−15.0234	+	4.39301i	−0.959807	+	0.280659i
$246$	0.735260	+	0.534198i	0.0468785	+	0.0340592i
$247$	−3.61465	+	2.92708i	−0.229994	+	0.186246i
$248$	−0.341277	+	6.51195i	−0.0216711	+	0.413509i
$249$	1.43795	+	0.830199i	0.0911262	+	0.0526118i
$250$	−1.58005	+	11.0681i	−0.0999310	+	0.700010i
$251$		−	19.2051i		−	1.21222i	−0.795382	−	0.606109i	$-0.792730\pi$
$251$		−	19.2051i		−	1.21222i	0.795382	−	0.606109i	$-0.207270\pi$
$252$	5.62512	−	0.0985653i	0.354349	−	0.00620903i
$253$	−7.07782	+	1.12102i	−0.444979	+	0.0704777i
$254$	−4.94415	−	0.519651i	−0.310224	−	0.0326058i
$255$	0.279477	+	1.91765i	0.0175015	+	0.120088i
$256$	−0.104528	−	0.994522i	−0.00653303	−	0.0621576i
$257$	20.8506	+	5.58689i	1.30062	+	0.348501i	0.841686	−	0.539968i	$-0.181564\pi$
$257$	20.8506	+	5.58689i	1.30062	+	0.348501i	0.458937	+	0.888469i	$0.348230\pi$
$258$	−7.67966	−	1.21634i	−0.478115	−	0.0757259i
$259$	6.34424	+	15.6995i	0.394212	+	0.975520i
$260$	2.01018	+	0.924928i	0.124666	+	0.0573616i
$261$	0.887424	−	0.188628i	0.0549302	−	0.0116758i
$262$	5.05345	−	3.28175i	0.312203	−	0.202747i
$263$	23.1946	−	15.0628i	1.43024	−	0.928810i	0.430587	−	0.902549i	$-0.358307\pi$
$263$	23.1946	−	15.0628i	1.43024	−	0.928810i	0.999655	−	0.0262612i	$-0.00836016\pi$
$264$	3.14304	−	0.668073i	0.193440	−	0.0411170i
$265$	3.22386	−	3.49267i	0.198040	−	0.214553i
$266$	7.65537	−	9.79979i	0.469381	−	0.600864i
$267$	−3.96903	−	0.628633i	−0.242901	−	0.0384717i
$268$	−5.78666	−	1.55053i	−0.353477	−	0.0947138i
$269$	−1.38172	−	13.1462i	−0.0842449	−	0.801536i	−0.952319	−	0.305103i	$-0.901309\pi$
$269$	−1.38172	−	13.1462i	−0.0842449	−	0.801536i	0.868075	−	0.496434i	$-0.165357\pi$
$270$	4.98165	−	9.48537i	0.303174	−	0.577261i
$271$	−21.2924	−	2.23792i	−1.29342	−	0.135944i	−0.567301	−	0.823511i	$-0.692012\pi$
$271$	−21.2924	−	2.23792i	−1.29342	−	0.135944i	−0.726121	+	0.687567i	$0.758679\pi$
$272$	−0.915837	+	0.145054i	−0.0555308	+	0.00879521i
$273$	2.14035	+	1.18623i	0.129540	+	0.0717939i
$274$		−	6.29270i		−	0.380156i
$275$	0.424867	−	17.1843i	0.0256205	−	1.03625i
$276$	1.68720	+	0.974107i	0.101558	+	0.0586343i
$277$	0.218231	−	4.16410i	0.0131123	−	0.250197i	−0.984207	−	0.177022i	$-0.943354\pi$
$277$	0.218231	−	4.16410i	0.0131123	−	0.250197i	0.997319	−	0.0731747i	$-0.0233131\pi$
$278$	−8.79022	+	7.11818i	−0.527202	+	0.426920i
$279$	−11.2179	−	8.15032i	−0.671601	−	0.487947i
$280$	−5.79307	−	1.20014i	−0.346202	−	0.0717221i
$281$	−17.1369	+	12.4507i	−1.02230	+	0.742746i	−0.966754	−	0.255710i	$-0.917691\pi$
$281$	−17.1369	+	12.4507i	−1.02230	+	0.742746i	−0.0555491	+	0.998456i	$0.517691\pi$
$282$	1.82804	−	6.82233i	0.108858	−	0.406264i
$283$	−12.5466	+	15.4938i	−0.745818	+	0.921009i	−0.998922	−	0.0464303i	$-0.985215\pi$
$283$	−12.5466	+	15.4938i	−0.745818	+	0.921009i	0.253103	+	0.967439i	$0.418549\pi$
$284$	−3.02638	+	14.2380i	−0.179583	+	0.844871i
$285$	−3.88420	−	9.02254i	−0.230080	−	0.534449i
$286$	−3.23557	−	1.05130i	−0.191323	−	0.0621647i
$287$	1.54840	+	2.05451i	0.0913992	+	0.121274i
$288$	1.89466	+	0.965376i	0.111644	+	0.0568853i
$289$	−3.35574	−	15.7875i	−0.197396	−	0.928676i
$290$	−0.953958	−	0.0117911i	−0.0560183	−	0.000692397i
$291$	5.94700	+	1.26407i	0.348619	+	0.0741013i
$292$	14.4970	−	5.56488i	0.848373	−	0.325660i
$293$	13.0360	+	13.0360i	0.761570	+	0.761570i	0.976606	−	0.215036i	$-0.0689868\pi$
$293$	13.0360	+	13.0360i	0.761570	+	0.761570i	−0.215036	+	0.976606i	$0.568987\pi$
$294$	−6.28937	−	1.80253i	−0.366804	−	0.105126i
$295$	−12.1361	−	8.09628i	−0.706592	−	0.471383i
$296$	−0.668987	+	6.36498i	−0.0388841	+	0.369957i
$297$	−5.90321	+	15.3784i	−0.342539	+	0.892345i
$298$	−3.79878	−	0.199085i	−0.220057	−	0.0115327i
$299$	−1.03135	−	1.78635i	−0.0596445	−	0.103307i
$300$	−3.02985	+	3.55801i	−0.174929	+	0.205422i
$301$	−19.7831	−	9.64722i	−1.14028	−	0.556057i
$302$	−13.4691	+	6.86287i	−0.775061	+	0.394914i
$303$	2.22407	+	2.74650i	0.127769	+	0.157782i
$304$	4.29381	−	1.91173i	0.246267	−	0.109645i
$305$	2.36282	−	13.8112i	0.135295	−	0.790829i
$306$	0.801976	−	1.80127i	0.0458459	−	0.102972i
$307$	3.61413	−	3.61413i	0.206269	−	0.206269i	−0.596410	−	0.802680i	$-0.703407\pi$
$307$	3.61413	−	3.61413i	0.206269	−	0.206269i	0.802680	+	0.596410i	$0.203407\pi$
$308$	9.06129	+	0.792146i	0.516315	+	0.0451367i
$309$	−16.1751	+	5.25562i	−0.920171	+	0.298982i
$310$	9.62202	+	10.9557i	0.546494	+	0.622239i
$311$	1.67147	−	1.50500i	0.0947803	−	0.0853405i	−0.620379	−	0.784303i	$-0.713021\pi$
$311$	1.67147	−	1.50500i	0.0947803	−	0.0853405i	0.715159	+	0.698962i	$0.246354\pi$
$312$	0.503744	+	0.775698i	0.0285189	+	0.0439152i
$313$	28.7881	−	1.50872i	1.62720	−	0.0852778i	0.783252	−	0.621705i	$-0.213560\pi$
$313$	28.7881	−	1.50872i	1.62720	−	0.0852778i	0.843947	+	0.536427i	$0.180226\pi$
$314$	−3.18761	+	9.81046i	−0.179887	+	0.553636i
$315$	8.84944	−	8.94125i	0.498609	−	0.503783i
$316$	−3.57799	−	11.0119i	−0.201278	−	0.619470i
$317$	−12.3838	−	32.2608i	−0.695541	−	1.81195i	−0.573125	−	0.819468i	$-0.694269\pi$
$317$	−12.3838	−	32.2608i	−0.695541	−	1.81195i	−0.122416	−	0.992479i	$-0.539064\pi$
$318$	1.91906	−	0.514209i	0.107615	−	0.0288354i
$319$	1.45877	−	0.153323i	0.0816752	−	0.00858441i
$320$	−1.72023	−	1.42857i	−0.0961636	−	0.0798597i
$321$	8.56138	−	11.7837i	0.477849	−	0.657703i
$322$	3.76140	+	4.03306i	0.209615	+	0.224754i
$323$	−1.97860	−	3.88322i	−0.110092	−	0.216068i
$324$	−1.64626	+	0.950469i	−0.0914589	+	0.0528038i
$325$	4.66167	−	1.65845i	0.258583	−	0.0919944i
$326$	−8.70692	+	15.0808i	−0.482232	+	0.835250i
$327$	−6.78820	+	10.4529i	−0.375388	+	0.578047i
$328$	0.152113	+	0.960401i	0.00839901	+	0.0530293i
$329$	10.5938	−	16.9561i	0.584053	−	0.934820i
$330$	3.98744	−	5.97707i	0.219501	−	0.329027i
$331$	−7.74421	−	3.44795i	−0.425660	−	0.189516i	0.182714	−	0.983166i	$-0.441512\pi$
$331$	−7.74421	−	3.44795i	−0.425660	−	0.189516i	−0.608375	+	0.793650i	$0.708178\pi$
$332$	0.459788	+	1.71595i	0.0252342	+	0.0941752i
$333$	−10.5763	−	8.56454i	−0.579579	−	0.469334i
$334$	7.69203	−	8.54286i	0.420889	−	0.467445i
$335$	−11.6830	+	6.55402i	−0.638311	+	0.358084i
$336$	−1.77894	−	1.71767i	−0.0970493	−	0.0937068i
$337$	−5.79063	+	11.3647i	−0.315436	+	0.619077i	−0.993229	−	0.116175i	$-0.962937\pi$
$337$	−5.79063	+	11.3647i	−0.315436	+	0.619077i	0.677793	+	0.735253i	$0.262937\pi$
$338$	0.629117	+	12.0043i	0.0342194	+	0.652946i
$339$	7.75656	+	8.61454i	0.421279	+	0.467877i
$340$	−1.23935	+	1.66223i	−0.0672134	+	0.0901469i
$341$	−16.6600	−	15.0007i	−0.902187	−	0.812333i
$342$	−1.56349	+	9.87148i	−0.0845438	+	0.533788i
$343$	−15.5344	−	10.0837i	−0.838780	−	0.544470i
$344$	−4.88979	−	6.73022i	−0.263640	−	0.362869i
$345$	4.22151	−	1.07541i	0.227279	−	0.0578981i
$346$	−8.44109	−	18.9590i	−0.453796	−	1.01924i
$347$	−12.1578	−	4.66694i	−0.652664	−	0.250534i	0.00942929	−	0.999956i	$-0.496999\pi$
$347$	−12.1578	−	4.66694i	−0.652664	−	0.250534i	−0.662094	+	0.749421i	$0.730332\pi$
$348$	−0.334441	−	0.217188i	−0.0179279	−	0.0116425i
$349$	−7.44069			−0.398291			−0.199145	−	0.979970i	$-0.563817\pi$
$349$	−7.44069			−0.398291			−0.199145	+	0.979970i	$0.563817\pi$
$350$	−11.1461	+	7.12485i	−0.595787	+	0.380839i
$351$	−4.74150			−0.253082
$352$	2.88327	+	1.87242i	0.153679	+	0.0998002i
$353$	7.69177	+	2.95259i	0.409392	+	0.157151i	0.554343	−	0.832288i	$-0.312969\pi$
$353$	7.69177	+	2.95259i	0.409392	+	0.157151i	−0.144952	+	0.989439i	$0.546303\pi$
$354$	−2.48028	−	5.57080i	−0.131825	−	0.296085i
$355$	17.3884	+	27.5144i	0.922881	+	1.46031i
$356$	−2.52716	−	3.47834i	−0.133939	−	0.184351i
$357$	−1.50421	+	1.73063i	−0.0796111	+	0.0915945i
$358$	−0.0480652	+	0.303472i	−0.00254032	+	0.0160390i
$359$	7.56122	+	6.80815i	0.399066	+	0.359321i	0.844093	−	0.536196i	$-0.180139\pi$
$359$	7.56122	+	6.80815i	0.399066	+	0.359321i	−0.445027	+	0.895517i	$0.646806\pi$
$360$	4.53992	−	1.41332i	0.239275	−	0.0744885i
$361$	2.06863	+	2.29745i	0.108875	+	0.120918i
$362$	1.21169	+	23.1204i	0.0636848	+	1.21518i
$363$	−0.347608	+	0.682220i	−0.0182447	+	0.0358073i
$364$	0.721837	+	2.51671i	0.0378346	+	0.131911i
$365$	14.5139	−	31.5436i	0.759692	−	1.65107i
$366$	3.91898	−	4.35247i	0.204849	−	0.227507i
$367$	−5.08718	−	4.11951i	−0.265548	−	0.215037i	0.487293	−	0.873238i	$-0.337984\pi$
$367$	−5.08718	−	4.11951i	−0.265548	−	0.215037i	−0.752842	+	0.658201i	$0.771318\pi$
$368$	0.539488	+	2.01340i	0.0281228	+	0.104956i
$369$	−1.88891	−	0.840999i	−0.0983329	−	0.0437806i
$370$	8.86802	+	11.2321i	0.461026	+	0.583931i
$371$	5.62054	+	0.195895i	0.291804	+	0.0101704i
$372$	0.953432	+	6.01973i	0.0494331	+	0.312108i
$373$	−1.73116	+	2.66576i	−0.0896362	+	0.138028i	−0.880644	−	0.473778i	$-0.842890\pi$
$373$	−1.73116	+	2.66576i	−0.0896362	+	0.138028i	0.791008	+	0.611806i	$0.209557\pi$
$374$	1.59391	−	2.76073i	0.0824189	−	0.142754i
$375$	0.706293	+	10.4259i	0.0364728	+	0.538389i
$376$	6.54438	−	3.77840i	0.337501	−	0.194856i
$377$	0.191679	+	0.376191i	0.00987197	+	0.0193748i
$378$	12.3518	−	2.85252i	0.635310	−	0.146718i
$379$	20.1348	−	27.7131i	1.03425	−	1.42353i	0.132549	−	0.991176i	$-0.457684\pi$
$379$	20.1348	−	27.7131i	1.03425	−	1.42353i	0.901705	−	0.432352i	$-0.142316\pi$
$380$	3.88738	−	9.76452i	0.199419	−	0.500909i
$381$	−4.62107	+	0.485694i	−0.236744	+	0.0248828i
$382$	−22.2950	+	5.97391i	−1.14071	+	0.305652i
$383$	−3.12275	−	8.13505i	−0.159565	−	0.415682i	0.830368	−	0.557215i	$-0.188130\pi$
$383$	−3.12275	−	8.13505i	−0.159565	−	0.415682i	−0.989934	+	0.141533i	$0.954797\pi$
$384$	−0.288824	−	0.888909i	−0.0147390	−	0.0453619i
$385$	15.7401	−	12.8811i	0.802187	−	0.656482i
$386$	−3.07430	+	9.46173i	−0.156478	+	0.481589i
$387$	17.6655	−	0.925808i	0.897986	−	0.0470615i
$388$	3.54284	+	5.45550i	0.179860	+	0.276961i
$389$	−15.6673	+	14.1069i	−0.794364	+	0.715249i	−0.962727	−	0.270476i	$-0.912819\pi$
$389$	−15.6673	+	14.1069i	−0.794364	+	0.715249i	0.168362	+	0.985725i	$0.446152\pi$
$390$	2.01751	+	0.454966i	0.102160	+	0.0230381i
$391$	1.83819	−	0.597264i	0.0929613	−	0.0302049i
$392$	−3.39449	−	6.12188i	−0.171448	−	0.309202i
$393$	3.98228	−	3.98228i	0.200880	−	0.200880i
$394$	0.197786	−	0.444235i	0.00996433	−	0.0223803i
$395$	−22.9217	−	12.0383i	−1.15331	−	0.605713i
$396$	−6.67842	+	2.97342i	−0.335603	+	0.149420i
$397$	21.7120	+	26.8121i	1.08969	+	1.34566i	0.933763	+	0.357893i	$0.116505\pi$
$397$	21.7120	+	26.8121i	1.08969	+	1.34566i	0.155932	+	0.987768i	$0.450162\pi$
$398$	3.60169	−	1.83515i	0.180536	−	0.0919879i
$399$	5.09442	−	10.4469i	0.255040	−	0.522999i
$400$	−4.98401	+	0.399577i	−0.249200	+	0.0199788i
$401$	−10.8743	−	18.8348i	−0.543036	−	0.940566i	−0.998728	−	0.0504284i	$-0.983941\pi$
$401$	−10.8743	−	18.8348i	−0.543036	−	0.940566i	0.455692	−	0.890138i	$-0.349392\pi$
$402$	−5.59164	−	0.293046i	−0.278886	−	0.0146158i
$403$	2.31252	−	6.02433i	0.115195	−	0.300093i
$404$	−0.395239	+	3.76045i	−0.0196639	+	0.187089i
$405$	−1.15080	+	4.09188i	−0.0571839	+	0.203327i
$406$	−0.725652	−	0.864681i	−0.0360135	−	0.0429134i
$407$	−15.5583	−	15.5583i	−0.771196	−	0.771196i
$408$	−0.809098	+	0.310583i	−0.0400563	+	0.0153762i
$409$	−24.1444	−	5.13205i	−1.19386	−	0.253763i	−0.432225	−	0.901766i	$-0.642271\pi$
$409$	−24.1444	−	5.13205i	−1.19386	−	0.253763i	−0.761638	+	0.648002i	$0.775605\pi$
$410$	1.74311	+	1.29966i	0.0860860	+	0.0641856i
$411$	−1.22283	−	5.75297i	−0.0603179	−	0.283773i
$412$	−16.2133	−	8.26109i	−0.798772	−	0.406995i
$413$	−2.10483	−	17.1330i	−0.103572	−	0.843058i
$414$	−4.21543	−	1.36968i	−0.207177	−	0.0673159i
$415$	3.41534	+	2.02854i	0.167652	+	0.0995770i
$416$	−0.205745	+	0.967954i	−0.0100875	+	0.0474579i
$417$	−6.65303	+	8.21581i	−0.325800	+	0.402330i
$418$	−4.18218	+	15.6081i	−0.204557	+	0.763418i
$419$	−9.44651	+	6.86329i	−0.461492	+	0.335294i	−0.794116	−	0.607766i	$-0.792066\pi$
$419$	−9.44651	+	6.86329i	−0.461492	+	0.335294i	0.332624	+	0.943059i	$0.392066\pi$
$420$	−5.52941	+	0.0285374i	−0.269808	+	0.00139248i
$421$	−25.6631	−	18.6454i	−1.25075	−	0.908719i	−0.252480	−	0.967602i	$-0.581246\pi$
$421$	−25.6631	−	18.6454i	−1.25075	−	0.908719i	−0.998265	+	0.0588826i	$0.981246\pi$
$422$	−4.87768	+	3.94987i	−0.237442	+	0.192276i
$423$	−0.840984	+	16.0469i	−0.0408901	+	0.780229i
$424$	1.84087	+	1.06283i	0.0894006	+	0.0516155i
$425$	0.611868	+	4.59571i	0.0296800	+	0.222925i
$426$			13.6049i			0.659160i
$427$	14.2105	−	8.53982i	0.687694	−	0.413271i
$428$	15.3920	−	2.43785i	0.743999	−	0.117838i
$429$	−3.16235	−	0.332376i	−0.152680	−	0.0160473i
$430$	−18.3355	−	3.13682i	−0.884215	−	0.151271i
$431$	−2.08662	−	19.8529i	−0.100509	−	0.956281i	−0.922296	−	0.386485i	$-0.873689\pi$
$431$	−2.08662	−	19.8529i	−0.100509	−	0.956281i	0.821786	−	0.569796i	$-0.192978\pi$
$432$	4.62817	+	1.24011i	0.222673	+	0.0596650i
$433$	−38.1689	−	6.04536i	−1.83428	−	0.290522i	−0.859080	−	0.511841i	$-0.828964\pi$
$433$	−38.1689	−	6.04536i	−1.83428	−	0.290522i	−0.975201	+	0.221319i	$0.928964\pi$
$434$	−2.39995	+	17.0849i	−0.115201	+	0.820101i
$435$	−0.874427	+	0.174598i	−0.0419256	+	0.00837136i
$436$	−13.0437	+	2.77252i	−0.624678	+	0.132779i
$437$	−8.21656	+	5.33589i	−0.393051	+	0.255250i
$438$	12.1722	−	7.90471i	0.581610	−	0.377702i
$439$	33.5242	−	7.12579i	1.60002	−	0.340096i	0.680383	−	0.732857i	$-0.261813\pi$
$439$	33.5242	−	7.12579i	1.60002	−	0.340096i	0.919641	+	0.392761i	$0.128480\pi$
$440$	7.53859	−	1.50524i	0.359388	−	0.0717596i
$441$	14.8488	+	1.03632i	0.707087	+	0.0493488i
$442$	0.906293	+	0.143543i	0.0431080	+	0.00682763i
$443$	17.0267	+	4.56229i	0.808963	+	0.216761i	0.639515	−	0.768778i	$-0.279135\pi$
$443$	17.0267	+	4.56229i	0.808963	+	0.216761i	0.169448	+	0.985539i	$0.445802\pi$
$444$	0.625271	+	5.94905i	0.0296740	+	0.282330i
$445$	−9.47621	−	1.62119i	−0.449215	−	0.0768516i
$446$	−1.10777	−	0.116432i	−0.0524546	−	0.00551320i
$447$	−3.51164	+	0.556189i	−0.166095	+	0.0263068i
$448$	−0.0463526	−	2.64535i	−0.00218996	−	0.124981i
$449$			32.2439i			1.52168i	0.648937	+	0.760842i	$0.275214\pi$
$449$			32.2439i			1.52168i	−0.648937	+	0.760842i	$0.724786\pi$
$450$	5.05955	−	9.35108i	0.238509	−	0.440814i
$451$	−2.89506	−	1.67146i	−0.136323	−	0.0787061i
$452$	−0.649094	+	12.3855i	−0.0305308	+	0.582563i
$453$	−10.9802	+	8.89163i	−0.515897	+	0.417765i
$454$	−4.46637	−	3.24500i	−0.209617	−	0.152296i
$455$	5.08512	+	2.90101i	0.238394	+	0.136001i
$456$	3.55403	−	2.58215i	0.166433	−	0.120920i
$457$	−2.22568	+	8.30635i	−0.104113	+	0.388555i	−0.998243	−	0.0592526i	$-0.981128\pi$
$457$	−2.22568	+	8.30635i	−0.104113	+	0.388555i	0.894130	+	0.447807i	$0.147795\pi$
$458$	16.6954	−	20.6171i	0.780124	−	0.963373i
$459$	0.923724	−	4.34578i	0.0431158	−	0.202844i
$460$	4.00736	+	2.38016i	0.186844	+	0.110976i
$461$	−7.77087	−	2.52491i	−0.361926	−	0.117597i	0.122409	−	0.992480i	$-0.460938\pi$
$461$	−7.77087	−	2.52491i	−0.361926	−	0.117597i	−0.484334	+	0.874883i	$0.660938\pi$
$462$	8.43803	−	1.03664i	0.392573	−	0.0482287i
$463$	28.7275	+	14.6374i	1.33508	+	0.680257i	0.968239	−	0.250026i	$-0.0804392\pi$
$463$	28.7275	+	14.6374i	1.33508	+	0.680257i	0.366841	+	0.930284i	$0.380439\pi$
$464$	−0.0887066	−	0.417332i	−0.00411810	−	0.0193742i
$465$	10.9257	+	8.14618i	0.506667	+	0.377770i
$466$	25.2050	+	5.35748i	1.16760	+	0.248180i
$467$	−4.00330	+	1.53672i	−0.185251	+	0.0711111i	−0.449225	−	0.893419i	$-0.648300\pi$
$467$	−4.00330	+	1.53672i	−0.185251	+	0.0711111i	0.263974	+	0.964530i	$0.414967\pi$
$468$	−1.48794	−	1.48794i	−0.0687800	−	0.0687800i
$469$	−14.8946	−	5.42007i	−0.687770	−	0.250275i
$470$	4.57479	−	16.2665i	0.211019	−	0.750316i
$471$	−1.00779	+	9.58845i	−0.0464363	+	0.441812i
$472$	2.33811	−	6.09099i	0.107620	−	0.280361i
$473$	28.5608	+	1.49681i	1.31323	+	0.0688232i
$474$	−5.41101	−	9.37214i	−0.248536	−	0.430477i
$475$	−9.02508	−	21.6988i	−0.414099	−	0.995607i
$476$	−2.44729	+	0.171297i	−0.112172	+	0.00785138i
$477$	−4.02739	+	2.05206i	−0.184401	+	0.0939572i
$478$	16.8041	+	20.7513i	0.768601	+	0.949144i
$479$	23.4547	−	10.4427i	1.07167	−	0.477139i	0.206413	−	0.978465i	$-0.433821\pi$
$479$	23.4547	−	10.4427i	1.07167	−	0.477139i	0.865258	+	0.501326i	$0.167154\pi$
$480$	−1.85029	−	0.971760i	−0.0844538	−	0.0443546i
$481$	2.57600	−	5.78580i	0.117456	−	0.263810i
$482$	−6.42998	+	6.42998i	−0.292878	+	0.292878i
$483$	4.22251	+	2.95621i	0.192131	+	0.134512i
$484$	−0.779111	+	0.253148i	−0.0354141	+	0.0115067i
$485$	14.1892	+	3.19979i	0.644296	+	0.145295i
$486$	−12.0025	+	10.8071i	−0.544446	+	0.490222i
$487$	15.4914	+	23.8547i	0.701984	+	1.08096i	0.992279	+	0.124023i	$0.0395797\pi$
$487$	15.4914	+	23.8547i	0.701984	+	1.08096i	−0.290296	+	0.956937i	$0.593754\pi$
$488$	6.25772	−	0.327953i	0.283274	−	0.0148457i
$489$	−5.02953	+	15.4793i	−0.227443	+	0.699999i
$490$	−14.9923	−	4.49802i	−0.677281	−	0.203200i
$491$	−0.530928	−	1.63403i	−0.0239604	−	0.0737426i	0.938361	−	0.345656i	$-0.112344\pi$
$491$	−0.530928	−	1.63403i	−0.0239604	−	0.0737426i	−0.962322	+	0.271913i	$0.912344\pi$
$492$	0.325696	+	0.848467i	0.0146835	+	0.0382519i
$493$	−0.382137	+	0.102393i	−0.0172106	+	0.00461157i
$494$	−4.62570	+	0.486181i	−0.208120	+	0.0218743i
$495$	−6.04628	+	15.1873i	−0.271760	+	0.682620i
$496$	−3.83288	+	5.27550i	−0.172101	+	0.236877i
$497$	−11.2573	+	36.8298i	−0.504958	+	1.65204i
$498$	0.753805	+	1.47943i	0.0337788	+	0.0662947i
$499$	2.51797	−	1.45375i	0.112720	−	0.0650787i	−0.442580	−	0.896729i	$-0.645937\pi$
$499$	2.51797	−	1.45375i	0.112720	−	0.0650787i	0.555300	+	0.831650i	$0.312603\pi$
$500$	−7.35327	+	8.42196i	−0.328848	+	0.376641i
$501$	5.37218	−	9.30489i	0.240011	−	0.415712i
$502$	10.4599	−	16.1068i	0.466847	−	0.718881i
$503$	−1.03004	−	6.50344i	−0.0459274	−	0.289974i	0.954025	−	0.299727i	$-0.0968955\pi$
$503$	−1.03004	−	6.50344i	−0.0459274	−	0.289974i	−0.999952	+	0.00975285i	$0.996896\pi$
$504$	4.77131	+	2.98100i	0.212531	+	0.132784i
$505$	5.23925	+	6.63599i	0.233144	+	0.295297i
$506$	−6.54651	−	2.91469i	−0.291028	−	0.129574i
$507$	2.90789	+	10.8524i	0.129144	+	0.481972i
$508$	−3.86349	−	3.12859i	−0.171415	−	0.138809i
$509$	19.9865	−	22.1973i	0.885886	−	0.983877i	−0.114068	−	0.993473i	$-0.536388\pi$
$509$	19.9865	−	22.1973i	0.885886	−	0.983877i	0.999954	+	0.00959644i	$0.00305469\pi$
$510$	−0.810040	+	1.76049i	−0.0358692	+	0.0779560i
$511$	39.4920	−	11.3270i	1.74702	−	0.501078i
$512$	0.453990	−	0.891007i	0.0200637	−	0.0393773i
$513$	1.17863	+	22.4896i	0.0520379	+	0.992942i
$514$	14.4439	+	16.0416i	0.637094	+	0.707564i
$515$	−38.8499	+	12.0943i	−1.71193	+	0.532939i
$516$	−5.77824	−	5.20275i	−0.254373	−	0.229038i
$517$	−4.06410	+	25.6597i	−0.178739	+	1.12851i
$518$	−3.22984	+	16.6220i	−0.141911	+	0.730330i
$519$	−11.4013	−	15.6926i	−0.500462	−	0.688827i
$520$	1.18213	+	1.87053i	0.0518398	+	0.0820284i
$521$	13.1536	+	29.5435i	0.576270	+	1.29432i	0.932920	+	0.360085i	$0.117252\pi$
$521$	13.1536	+	29.5435i	0.576270	+	1.29432i	−0.356650	+	0.934238i	$0.616081\pi$
$522$	0.846990	+	0.325129i	0.0370718	+	0.0142305i
$523$	7.22988	+	4.69514i	0.316140	+	0.205304i	0.692948	−	0.720988i	$-0.256312\pi$
$523$	7.22988	+	4.69514i	0.316140	+	0.205304i	−0.376808	+	0.926292i	$0.622978\pi$
$524$	6.02555			0.263227
$525$	−8.80560	+	8.67972i	−0.384308	+	0.378814i
$526$	27.6564			1.20588
$527$	5.07103	+	3.29316i	0.220898	+	0.143453i
$528$	2.99983	+	1.15153i	0.130551	+	0.0501138i
$529$	7.58775	+	17.0424i	0.329902	+	0.740972i
$530$	4.60601	−	1.17336i	0.200072	−	0.0509674i
$531$	8.15464	+	11.2239i	0.353881	+	0.487076i
$532$	11.7577	−	4.04938i	0.509760	−	0.175563i
$533$	0.150527	−	0.950392i	0.00652006	−	0.0411661i
$534$	−2.98633	−	2.68891i	−0.129231	−	0.116360i
$535$	20.8291	−	27.9361i	0.900521	−	1.20778i
$536$	−4.00862	−	4.45203i	−0.173146	−	0.192298i
$537$	0.0150297	+	0.286783i	0.000648578	+	0.0123756i
$538$	6.00111	−	11.7778i	0.258726	−	0.507779i
$539$	23.7003	+	4.17572i	1.02084	+	0.179861i
$540$	9.34406	−	5.24190i	0.402104	−	0.225575i
$541$	−29.2676	+	32.5049i	−1.25831	+	1.39750i	−0.376144	+	0.926561i	$0.622750\pi$
$541$	−29.2676	+	32.5049i	−1.25831	+	1.39750i	−0.882168	+	0.470935i	$0.843916\pi$
$542$	−16.6385	−	13.4736i	−0.714683	−	0.578739i
$543$	5.60063	+	20.9018i	0.240346	+	0.896984i
$544$	−0.847088	−	0.377148i	−0.0363186	−	0.0161701i
$545$	−16.5479	+	24.8049i	−0.708836	+	1.06253i
$546$	1.14899	+	2.16058i	0.0491720	+	0.0924641i
$547$	−6.24525	−	39.4309i	−0.267028	−	1.68595i	−0.648223	−	0.761451i	$-0.724487\pi$
$547$	−6.24525	−	39.4309i	−0.267028	−	1.68595i	0.381195	−	0.924495i	$-0.375513\pi$
$548$	3.42725	−	5.27750i	0.146405	−	0.225444i
$549$	−6.66241	+	11.5396i	−0.284345	+	0.492499i
$550$	9.71556	−	14.1806i	0.414273	−	0.604661i
$551$	1.73668	−	1.00267i	0.0739852	−	0.0427154i
$552$	0.884470	+	1.73587i	0.0376456	+	0.0738836i
$553$	−6.89320	−	29.8486i	−0.293129	−	1.26929i
$554$	2.45096	−	3.37345i	0.104131	−	0.143324i
$555$	10.2901	+	8.54547i	0.436790	+	0.362735i
$556$	−11.2489	+	1.18231i	−0.477061	+	0.0501412i
$557$	6.69235	−	1.79321i	0.283564	−	0.0759808i	−0.114234	−	0.993454i	$-0.536441\pi$
$557$	6.69235	−	1.79321i	0.283564	−	0.0759808i	0.397798	+	0.917473i	$0.369775\pi$
$558$	−4.96918	−	12.9452i	−0.210362	−	0.548013i
$559$	2.54392	+	7.82939i	0.107597	+	0.331148i
$560$	−4.20483	−	4.16165i	−0.177687	−	0.175862i
$561$	0.920716	−	2.83367i	0.0388727	−	0.119638i
$562$	−21.1534	+	1.10860i	−0.892301	+	0.0467635i
$563$	12.5445	+	19.3169i	0.528688	+	0.814109i	0.997608	−	0.0691323i	$-0.0220231\pi$
$563$	12.5445	+	19.3169i	0.528688	+	0.814109i	−0.468919	+	0.883241i	$0.655356\pi$
$564$	5.24883	−	4.72607i	0.221016	−	0.199003i
$565$	18.3007	+	20.8372i	0.769916	+	0.876628i
$566$	−18.9610	+	6.16080i	−0.796989	+	0.258958i
$567$	−4.55805	+	2.12583i	−0.191420	+	0.0892764i
$568$	−10.2927	+	10.2927i	−0.431873	+	0.431873i
$569$	−9.33863	+	20.9749i	−0.391496	+	0.879314i	0.605044	+	0.796192i	$0.293156\pi$
$569$	−9.33863	+	20.9749i	−0.391496	+	0.879314i	−0.996539	+	0.0831214i	$0.973511\pi$
$570$	1.65647	−	9.68243i	0.0693817	−	0.405552i
$571$	29.4592	−	13.1161i	1.23283	−	0.548890i	0.316223	−	0.948685i	$-0.397585\pi$
$571$	29.4592	−	13.1161i	1.23283	−	0.548890i	0.916605	+	0.399794i	$0.130918\pi$
$572$	−2.14100	−	2.64391i	−0.0895196	−	0.110548i
$573$	−19.2218	+	9.79400i	−0.803003	+	0.409150i
$574$	0.179632	+	2.56638i	0.00749769	+	0.107118i
$575$	10.1306	−	2.44779i	0.422474	−	0.102080i
$576$	1.06321	+	1.84154i	0.0443005	+	0.0767307i
$577$	13.1057	+	0.686840i	0.545597	+	0.0285935i	0.323144	−	0.946350i	$-0.395260\pi$
$577$	13.1057	+	0.686840i	0.545597	+	0.0285935i	0.222453	+	0.974943i	$0.428594\pi$
$578$	5.78413	−	15.0682i	0.240588	−	0.626753i
$579$	−0.971963	+	9.24761i	−0.0403934	+	0.384318i
$580$	−0.793634	−	0.529451i	−0.0329539	−	0.0219843i
$581$	0.816482	+	4.62868i	0.0338734	+	0.192030i
$582$	4.29911	+	4.29911i	0.178204	+	0.178204i
$583$	−6.82243	+	2.61888i	−0.282556	+	0.108463i
$584$	15.1891	+	3.22853i	0.628528	+	0.133598i
$585$	−4.70491	−	0.0581537i	−0.194524	−	0.00240436i
$586$	3.83299	+	18.0328i	0.158339	+	0.744928i
$587$	−4.05074	−	2.06396i	−0.167192	−	0.0851886i	0.368392	−	0.929671i	$-0.379908\pi$
$587$	−4.05074	−	2.06396i	−0.167192	−	0.0851886i	−0.535584	+	0.844482i	$0.679908\pi$
$588$	−4.29298	−	4.93717i	−0.177040	−	0.203605i
$589$	−29.1491	−	9.47112i	−1.20107	−	0.390251i
$590$	−5.76865	−	13.3999i	−0.237492	−	0.551665i
$591$	0.0944959	−	0.444568i	0.00388704	−	0.0182871i
$592$	−4.02768	+	4.97377i	−0.165537	+	0.204421i
$593$	−3.93047	+	14.6687i	−0.161405	+	0.602372i	0.837066	+	0.547101i	$0.184269\pi$
$593$	−3.93047	+	14.6687i	−0.161405	+	0.602372i	−0.998471	+	0.0552705i	$0.982398\pi$
$594$	−13.3265	+	9.68229i	−0.546794	+	0.397269i
$595$	−3.64956	+	4.09556i	−0.149618	+	0.167902i
$596$	−3.07749	−	2.23593i	−0.126059	−	0.0915872i
$597$	2.93615	−	2.37765i	0.120169	−	0.0973108i
$598$	0.107953	−	2.05987i	0.00441454	−	0.0842345i
$599$	13.7531	+	7.94033i	0.561934	+	0.324433i	0.753922	−	0.656964i	$-0.228160\pi$
$599$	13.7531	+	7.94033i	0.561934	+	0.324433i	−0.191987	+	0.981397i	$0.561493\pi$
$600$	−4.47888	+	1.33382i	−0.182849	+	0.0544531i
$601$		−	27.0937i		−	1.10518i	−0.833454	−	0.552588i	$-0.813640\pi$
$601$		−	27.0937i		−	1.10518i	0.833454	−	0.552588i	$-0.186360\pi$
$602$	−11.3373	−	18.8655i	−0.462072	−	0.768900i
$603$	12.5821	−	1.99281i	0.512383	−	0.0811536i
$604$	−15.0339	−	1.58013i	−0.611723	−	0.0642946i
$605$	−0.851728	+	1.62174i	−0.0346277	+	0.0659332i
$606$	0.369412	+	3.51472i	0.0150063	+	0.142776i
$607$	8.80479	+	2.35924i	0.357375	+	0.0957584i	0.433040	−	0.901375i	$-0.357441\pi$
$607$	8.80479	+	2.35924i	0.357375	+	0.0957584i	−0.0756642	+	0.997133i	$0.524108\pi$
$608$	4.64230	+	0.735267i	0.188270	+	0.0298190i
$609$	−0.831442	−	0.649504i	−0.0336917	−	0.0263192i
$610$	9.50377	−	10.2962i	0.384796	−	0.416881i
$611$	−7.31464	+	1.55477i	−0.295919	+	0.0628995i
$612$	1.65363	−	1.07388i	0.0668442	−	0.0434091i
$613$	−10.0670	+	6.53761i	−0.406604	+	0.264052i	−0.731697	−	0.681630i	$-0.761271\pi$
$613$	−10.0670	+	6.53761i	−0.406604	+	0.264052i	0.325093	+	0.945682i	$0.394605\pi$
$614$	4.99946	−	1.06267i	0.201762	−	0.0428858i
$615$	1.84616	+	0.849456i	0.0744443	+	0.0342534i
$616$	7.16800	+	5.59948i	0.288807	+	0.225610i
$617$	−8.38830	−	1.32858i	−0.337700	−	0.0534865i	−0.0147186	−	0.999892i	$-0.504685\pi$
$617$	−8.38830	−	1.32858i	−0.337700	−	0.0534865i	−0.322982	+	0.946405i	$0.604685\pi$
$618$	−16.4280	−	4.40187i	−0.660832	−	0.177069i
$619$	−3.21946	−	30.6311i	−0.129401	−	1.23117i	−0.845808	−	0.533487i	$-0.820881\pi$
$619$	−3.21946	−	30.6311i	−0.129401	−	1.23117i	0.716407	−	0.697682i	$-0.245785\pi$
$620$	2.10282	+	14.4287i	0.0844515	+	0.579471i
$621$	−9.93265	−	1.04396i	−0.398584	−	0.0418928i
$622$	2.22149	−	0.351850i	0.0890737	−	0.0141079i
$623$	−5.85937	−	9.75014i	−0.234751	−	0.390631i
$624$			0.924914i			0.0370262i
$625$	1.38133	+	24.9618i	0.0552533	+	0.998472i
$626$	24.9654	+	14.4138i	0.997819	+	0.576091i
$627$	−0.790420	+	15.0821i	−0.0315663	+	0.602322i
$628$	−8.01652	+	6.49165i	−0.319894	+	0.259045i
$629$	4.80108	+	3.48819i	0.191432	+	0.139083i
$630$	12.2915	−	2.67902i	0.489706	−	0.106735i
$631$	6.42948	−	4.67129i	0.255954	−	0.185961i	−0.452408	−	0.891811i	$-0.649435\pi$
$631$	6.42948	−	4.67129i	0.255954	−	0.185961i	0.708361	+	0.705850i	$0.249435\pi$
$632$	2.99677	−	11.1841i	0.119205	−	0.444880i
$633$	−3.69176	+	4.55894i	−0.146734	+	0.181202i
$634$	7.18459	−	33.8009i	0.285337	−	1.34240i
$635$	−11.0690	+	1.02525i	−0.439259	+	0.0406858i
$636$	1.88951	+	0.613940i	0.0749241	+	0.0243443i
$637$	1.32266	+	6.79960i	0.0524056	+	0.269410i
$638$	1.30693	+	0.665914i	0.0517418	+	0.0263638i
$639$	−6.43537	−	30.2760i	−0.254579	−	1.19770i
$640$	−0.664647	−	2.13500i	−0.0262725	−	0.0843935i
$641$	37.2578	+	7.91939i	1.47159	+	0.312797i	0.872789	−	0.488098i	$-0.162309\pi$
$641$	37.2578	+	7.91939i	1.47159	+	0.312797i	0.598805	+	0.800895i	$0.295642\pi$
$642$	13.5981	−	5.21980i	0.536672	−	0.206009i
$643$	−10.0739	−	10.0739i	−0.397276	−	0.397276i	0.479995	−	0.877271i	$-0.340638\pi$
$643$	−10.0739	−	10.0739i	−0.397276	−	0.397276i	−0.877271	+	0.479995i	$0.840638\pi$
$644$	0.958011	+	5.43101i	0.0377509	+	0.214012i
$645$	−17.3724	+	0.695272i	−0.684037	+	0.0273763i
$646$	0.455560	−	4.33437i	0.0179238	−	0.170533i
$647$	8.65730	−	22.5530i	0.340354	−	0.886652i	−0.651428	−	0.758710i	$-0.725830\pi$
$647$	8.65730	−	22.5530i	0.340354	−	0.886652i	0.991782	−	0.127941i	$-0.0408369\pi$
$648$	−1.89833	−	0.0994874i	−0.0745736	−	0.00390824i
$649$	11.2150	+	19.4250i	0.440229	+	0.762498i
$650$	4.81287	+	1.14803i	0.188776	+	0.0450296i
$651$	1.12592	+	16.0859i	0.0441283	+	0.630455i
$652$	−15.5158	+	7.90572i	−0.607648	+	0.309612i
$653$	−6.55838	−	8.09892i	−0.256649	−	0.316935i	0.632493	−	0.774566i	$-0.282032\pi$
$653$	−6.55838	−	8.09892i	−0.256649	−	0.316935i	−0.889142	+	0.457631i	$0.848698\pi$
$654$	−11.3861	+	5.06943i	−0.445233	+	0.198230i
$655$	9.64425	−	9.40875i	0.376832	−	0.367630i
$656$	−0.395499	+	0.888306i	−0.0154417	+	0.0346825i
$657$	−23.3486	+	23.3486i	−0.910916	+	0.910916i
$658$	18.1196	−	8.45081i	0.706377	−	0.329447i
$659$	−10.0404	+	3.26234i	−0.391120	+	0.127083i	−0.497974	−	0.867192i	$-0.665922\pi$
$659$	−10.0404	+	3.26234i	−0.391120	+	0.127083i	0.106854	+	0.994275i	$0.465922\pi$
$660$	6.59949	−	2.84108i	0.256885	−	0.110589i
$661$	22.7570	−	20.4905i	0.885145	−	0.796988i	−0.0949573	−	0.995481i	$-0.530271\pi$
$661$	22.7570	−	20.4905i	0.885145	−	0.796988i	0.980102	+	0.198493i	$0.0636048\pi$
$662$	−4.61696	−	7.10949i	−0.179443	−	0.276318i
$663$	0.856454	−	0.0448848i	0.0332619	−	0.00174318i
$664$	−0.548964	+	1.68954i	−0.0213039	+	0.0655668i
$665$	12.4959	−	24.8406i	0.484569	−	0.963278i
$666$	−4.20547	−	12.9431i	−0.162959	−	0.501535i
$667$	0.318707	+	0.830261i	0.0123404	+	0.0321478i
$668$	11.1039	−	2.97527i	0.429621	−	0.115117i
$669$	−1.03538	+	0.108823i	−0.0400303	+	0.00420735i
$670$	−13.3678	−	0.866365i	−0.516442	−	0.0334706i
$671$	−12.6627	+	17.4286i	−0.488836	+	0.672825i
$672$	−0.556435	−	2.40944i	−0.0214649	−	0.0929464i
$673$	−8.85040	−	17.3699i	−0.341158	−	0.669560i	0.655142	−	0.755506i	$-0.272609\pi$
$673$	−8.85040	−	17.3699i	−0.341158	−	0.669560i	−0.996300	+	0.0859456i	$0.972609\pi$
$674$	−11.0461	+	6.37748i	−0.425480	+	0.245651i
$675$	6.77064	−	22.9805i	0.260602	−	0.884520i
$676$	−6.01037	+	10.4103i	−0.231168	+	0.400395i
$677$	1.66939	−	2.57063i	0.0641597	−	0.0987973i	−0.805135	−	0.593092i	$-0.797907\pi$
$677$	1.66939	−	2.57063i	0.0641597	−	0.0987973i	0.869294	+	0.494295i	$0.164574\pi$
$678$	1.81339	+	11.4493i	0.0696428	+	0.439707i
$679$	8.08083	+	15.1954i	0.310114	+	0.583145i
$680$	−1.94472	+	0.719060i	−0.0745767	+	0.0275747i
$681$	−4.71387	−	2.09875i	−0.180636	−	0.0804243i
$682$	−5.80225	−	21.6543i	−0.222180	−	0.829186i
$683$	−6.35228	−	5.14397i	−0.243063	−	0.196829i	0.500046	−	0.865999i	$-0.333316\pi$
$683$	−6.35228	−	5.14397i	−0.243063	−	0.196829i	−0.743109	+	0.669170i	$0.766650\pi$
$684$	−6.68765	+	7.42738i	−0.255709	+	0.283993i
$685$	−2.75518	−	13.7985i	−0.105270	−	0.527215i
$686$	−7.53628	−	16.9176i	−0.287737	−	0.645916i
$687$	11.2570	−	22.0931i	0.429481	−	0.842903i
$688$	−0.435383	−	8.30760i	−0.0165988	−	0.316724i
$689$	−1.40752	−	1.56321i	−0.0536222	−	0.0595535i
$690$	4.12617	+	1.39729i	0.157081	+	0.0531937i
$691$	−5.89144	−	5.30468i	−0.224121	−	0.201799i	0.549419	−	0.835547i	$-0.314849\pi$
$691$	−5.89144	−	5.30468i	−0.224121	−	0.201799i	−0.773540	+	0.633748i	$0.781516\pi$
$692$	3.24652	−	20.4977i	0.123414	−	0.779206i
$693$	−18.2874	+	6.29824i	−0.694682	+	0.239250i
$694$	−7.65458	−	10.5356i	−0.290564	−	0.399927i
$695$	−16.1584	+	19.4573i	−0.612925	+	0.738058i
$696$	−0.162196	−	0.364299i	−0.00614804	−	0.0138087i
$697$	0.841749	+	0.323117i	0.0318835	+	0.0122389i
$698$	−6.24029	−	4.05249i	−0.236198	−	0.153389i
$699$	24.0842			0.910948
$700$	−13.2284	−	0.0952275i	−0.499987	−	0.00359926i
$701$	−45.4601			−1.71701			−0.858503	−	0.512809i	$-0.828605\pi$
$701$	−45.4601			−1.71701			−0.858503	+	0.512809i	$0.828605\pi$
$702$	−3.97655	−	2.58240i	−0.150085	−	0.0974666i
$703$	−28.0833	−	10.7801i	−1.05918	−	0.406581i
$704$	1.39832	+	3.14068i	0.0527013	+	0.118369i
$705$	1.02142	−	15.7603i	0.0384690	−	0.593566i
$706$	4.84276	+	6.66549i	0.182260	+	0.250859i
$707$	−1.90820	+	9.82035i	−0.0717651	+	0.369332i
$708$	0.953937	−	6.02292i	0.0358511	−	0.226355i
$709$	−33.7900	−	30.4247i	−1.26901	−	1.14262i	−0.982843	−	0.184444i	$-0.940952\pi$
$709$	−33.7900	−	30.4247i	−1.26901	−	1.14262i	−0.286169	−	0.958179i	$-0.592382\pi$
$710$	−0.402274	+	32.5459i	−0.0150971	+	1.22143i
$711$	16.4747	+	18.2970i	0.617850	+	0.686192i
$712$	−0.225016	−	4.29357i	−0.00843284	−	0.160908i
$713$	6.17076	−	12.1108i	0.231097	−	0.453553i
$714$	−2.20410	+	0.632176i	−0.0824864	+	0.0236586i
$715$	−7.55520	−	0.888622i	−0.282549	−	0.0332326i
$716$	−0.205593	+	0.228335i	−0.00768339	+	0.00853327i
$717$	19.3953	+	15.7060i	0.724331	+	0.586552i
$718$	2.63339	+	9.82793i	0.0982771	+	0.366775i
$719$	−32.5408	−	14.4881i	−1.21357	−	0.540315i	−0.302728	−	0.953077i	$-0.597897\pi$
$719$	−32.5408	−	14.4881i	−1.21357	−	0.540315i	−0.910839	+	0.412763i	$0.864564\pi$
$720$	4.57725	+	1.28731i	0.170584	+	0.0479752i
$721$	−40.8299	−	25.5095i	−1.52059	−	0.950025i
$722$	0.483621	+	3.05346i	0.0179985	+	0.113638i
$723$	−4.62897	+	7.12799i	−0.172153	+	0.265093i
$724$	−11.5760	+	20.0503i	−0.430220	+	0.745163i
$725$	−2.09698	+	0.391823i	−0.0778801	+	0.0145519i
$726$	−0.663093	+	0.382837i	−0.0246097	+	0.0142084i
$727$	−5.90291	−	11.5851i	−0.218927	−	0.429668i	0.755256	−	0.655430i	$-0.227513\pi$
$727$	−5.90291	−	11.5851i	−0.218927	−	0.429668i	−0.974182	+	0.225762i	$0.927513\pi$
$728$	−0.765313	+	2.50383i	−0.0283644	+	0.0927981i
$729$	−5.52094	+	7.59892i	−0.204479	+	0.281442i
$730$	29.3523	−	18.5499i	1.08638	−	0.686562i
$731$	−7.67157	+	0.806314i	−0.283743	+	0.0298226i
$732$	5.65726	−	1.51586i	0.209098	−	0.0560278i
$733$	−14.3793	−	37.4593i	−0.531111	−	1.38359i	−0.892445	−	0.451156i	$-0.851012\pi$
$733$	−14.3793	−	37.4593i	−0.531111	−	1.38359i	0.361334	−	0.932437i	$-0.382322\pi$
$734$	−2.02282	−	6.22559i	−0.0746635	−	0.229791i
$735$	−14.5804	−	1.19884i	−0.537808	−	0.0442200i
$736$	−0.644122	+	1.98240i	−0.0237426	+	0.0730724i
$737$	20.5676	−	1.07790i	0.757616	−	0.0397050i
$738$	−1.12614	−	1.73410i	−0.0414536	−	0.0638330i
$739$	−17.1075	+	15.4037i	−0.629311	+	0.566634i	−0.920846	−	0.389926i	$-0.872501\pi$
$739$	−17.1075	+	15.4037i	−0.629311	+	0.566634i	0.291535	+	0.956560i	$0.405834\pi$
$740$	1.31988	+	14.2499i	0.0485198	+	0.523838i
$741$	−4.13447	+	1.34337i	−0.151884	+	0.0493500i
$742$	4.60709	+	3.22546i	0.169132	+	0.118410i
$743$	15.9493	−	15.9493i	0.585122	−	0.585122i	−0.351185	−	0.936306i	$-0.614221\pi$
$743$	15.9493	−	15.9493i	0.585122	−	0.585122i	0.936306	+	0.351185i	$0.114221\pi$
$744$	−2.47897	+	5.56785i	−0.0908833	+	0.204127i
$745$	−8.41706	+	1.22669i	−0.308377	+	0.0449426i
$746$	−2.90375	+	1.29283i	−0.106314	+	0.0473340i
$747$	−2.37729	−	2.93571i	−0.0869807	−	0.107412i
$748$	2.84036	−	1.44724i	0.103854	−	0.0529162i
$749$	41.1303	−	2.87889i	1.50287	−	0.105192i
$750$	−5.08598	+	9.12853i	−0.185714	+	0.333327i
$751$	5.64194	+	9.77212i	0.205877	+	0.356590i	0.950412	−	0.310994i	$-0.100662\pi$
$751$	5.64194	+	9.77212i	0.205877	+	0.356590i	−0.744535	+	0.667584i	$0.767329\pi$
$752$	7.54645	+	0.395493i	0.275191	+	0.0144221i
$753$	6.43276	−	16.7579i	0.234423	−	0.610693i
$754$	−0.0441329	+	0.419896i	−0.00160722	+	0.0152917i
$755$	−26.5301	+	20.9461i	−0.965528	+	0.762305i
$756$	11.9127	+	4.33497i	0.433261	+	0.157661i
$757$	−4.13285	−	4.13285i	−0.150211	−	0.150211i	0.628001	−	0.778212i	$-0.283873\pi$
$757$	−4.13285	−	4.13285i	−0.150211	−	0.150211i	−0.778212	+	0.628001i	$0.783873\pi$
$758$	31.9801	−	12.2760i	1.16157	−	0.445885i
$759$	−6.55141	−	1.39255i	−0.237801	−	0.0505462i
$760$	8.57837	−	6.07199i	0.311170	−	0.220254i
$761$	−0.530647	−	2.49650i	−0.0192359	−	0.0904980i	0.967482	−	0.252938i	$-0.0813969\pi$
$761$	−0.530647	−	2.49650i	−0.0192359	−	0.0904980i	−0.986718	+	0.162440i	$0.948064\pi$
$762$	−4.14008	−	2.10948i	−0.149979	−	0.0764183i
$763$	−35.0180	+	4.30206i	−1.26774	+	0.155745i
$764$	−21.9517	−	7.13255i	−0.794186	−	0.258047i
$765$	0.969898	−	4.30092i	0.0350667	−	0.155500i
$766$	1.81171	−	8.52340i	0.0654596	−	0.307963i
$767$	−4.06311	+	5.01752i	−0.146710	+	0.181172i
$768$	0.241906	−	0.902806i	0.00872904	−	0.0325772i
$769$	25.9008	−	18.8181i	0.934008	−	0.678596i	−0.0129631	−	0.999916i	$-0.504126\pi$
$769$	25.9008	−	18.8181i	0.934008	−	0.678596i	0.946971	+	0.321320i	$0.104126\pi$
$770$	20.2163	−	2.23036i	0.728544	−	0.0803767i
$771$	16.3223	+	11.8589i	0.587835	+	0.427087i
$772$	−7.73156	+	6.26089i	−0.278265	+	0.225334i
$773$	2.17490	−	41.4996i	0.0782257	−	1.49264i	−0.624416	−	0.781092i	$-0.714663\pi$
$773$	2.17490	−	41.4996i	0.0782257	−	1.49264i	0.702642	−	0.711544i	$-0.252004\pi$
$774$	15.3197	+	8.84486i	0.550657	+	0.317922i
$775$	25.8958	+	19.8105i	0.930204	+	0.711614i
$776$			6.50493i			0.233514i
$777$	0.277273	+	15.8240i	0.00994712	+	0.567682i
$778$	−20.8229	+	3.29802i	−0.746537	+	0.118240i
$779$	−4.54527	−	0.477727i	−0.162851	−	0.0171164i
$780$	1.44423	+	1.48038i	0.0517118	+	0.0530061i
$781$	−5.23087	−	49.7684i	−0.187175	−	1.78085i
$782$	1.86693	+	0.500242i	0.0667612	+	0.0178886i
$783$	2.01912	+	0.319797i	0.0721575	+	0.0114286i
$784$	0.487356	−	6.98301i	0.0174056	−	0.249393i
$785$	−2.69436	+	22.9079i	−0.0961658	+	0.817617i
$786$	5.50873	−	1.17092i	0.196490	−	0.0417652i
$787$	−10.4783	+	6.80469i	−0.373511	+	0.242561i	−0.717720	−	0.696332i	$-0.754814\pi$
$787$	−10.4783	+	6.80469i	−0.373511	+	0.242561i	0.344208	+	0.938893i	$0.388147\pi$
$788$	0.407826	−	0.264845i	0.0145282	−	0.00943471i
$789$	25.2843	−	5.37435i	0.900146	−	0.191332i
$790$	−12.6672	−	22.5802i	−0.450679	−	0.803368i
$791$	−4.56461	+	32.4948i	−0.162299	+	1.15538i
$792$	−7.22044	−	1.14361i	−0.256567	−	0.0406362i
$793$	−5.98971	−	1.60494i	−0.212701	−	0.0569930i
$794$	3.60631	+	34.3117i	0.127983	+	1.21768i
$795$	3.98293	−	1.96778i	0.141260	−	0.0697901i
$796$	4.02013	+	0.422532i	0.142490	+	0.0149763i
$797$	24.4063	−	3.86558i	0.864517	−	0.136926i	0.291601	−	0.956540i	$-0.405812\pi$
$797$	24.4063	−	3.86558i	0.864517	−	0.136926i	0.572916	+	0.819614i	$0.305812\pi$
$798$	9.96232	−	5.98688i	0.352662	−	0.211933i
$799$		−	7.00707i		−	0.247892i
$800$	−4.39757	−	2.37937i	−0.155477	−	0.0841235i
$801$	7.91761	+	4.57123i	0.279755	+	0.161517i
$802$	1.13823	−	21.7188i	0.0401924	−	0.766917i
$803$	−41.4881	+	33.5964i	−1.46408	+	1.18559i
$804$	−4.52994	−	3.29120i	−0.159759	−	0.116072i
$805$	10.0138	+	7.19675i	0.352939	+	0.253652i
$806$	5.22053	−	3.79293i	0.183885	−	0.133600i
$807$	3.19766	−	11.9338i	0.112563	−	0.420090i
$808$	−2.37956	+	2.93852i	−0.0837128	+	0.103377i
$809$	−5.57875	+	26.2460i	−0.196138	+	0.922759i	0.764428	+	0.644709i	$0.223021\pi$
$809$	−5.57875	+	26.2460i	−0.196138	+	0.922759i	−0.960567	+	0.278050i	$0.910312\pi$
$810$	−3.19374	+	2.80497i	−0.112217	+	0.0985565i
$811$	8.70158	+	2.82732i	0.305554	+	0.0992805i	0.457781	−	0.889065i	$-0.348644\pi$
$811$	8.70158	+	2.82732i	0.305554	+	0.0992805i	−0.152227	+	0.988346i	$0.548644\pi$
$812$	−0.137644	−	1.12040i	−0.00483037	−	0.0393184i
$813$	−17.8296	−	9.08465i	−0.625312	−	0.318612i
$814$	−4.57463	−	21.5219i	−0.160341	−	0.754343i
$815$	−12.4894	+	36.8812i	−0.437486	+	1.29189i
$816$	−0.847722	−	0.180189i	−0.0296762	−	0.00630787i
$817$	36.5036	−	14.0124i	1.27710	−	0.490233i
$818$	−17.4541	−	17.4541i	−0.610267	−	0.610267i
$819$	−3.57891	−	4.26460i	−0.125057	−	0.149017i
$820$	0.754049	+	2.03935i	0.0263325	+	0.0712172i
$821$	0.709033	−	6.74600i	0.0247454	−	0.235437i	−0.975158	−	0.221512i	$-0.928901\pi$
$821$	0.709033	−	6.74600i	0.0247454	−	0.235437i	0.999903	−	0.0139248i	$-0.00443255\pi$
$822$	2.10774	−	5.49085i	0.0735159	−	0.191515i
$823$	34.5563	+	1.81102i	1.20456	+	0.0631282i	0.644025	−	0.765004i	$-0.277263\pi$
$823$	34.5563	+	1.81102i	1.20456	+	0.0631282i	0.560532	+	0.828133i	$0.310597\pi$
$824$	−9.09831	−	15.7587i	−0.316955	−	0.548981i
$825$	6.12660	−	14.8523i	0.213301	−	0.517089i
$826$	7.56602	−	15.5153i	0.263256	−	0.539846i
$827$	15.0004	−	7.64308i	0.521615	−	0.265776i	−0.173299	−	0.984869i	$-0.555443\pi$
$827$	15.0004	−	7.64308i	0.521615	−	0.265776i	0.694914	+	0.719093i	$0.255443\pi$
$828$	−2.78938	−	3.44459i	−0.0969375	−	0.119708i
$829$	−11.0292	+	4.91052i	−0.383060	+	0.170549i	−0.589227	−	0.807967i	$-0.700568\pi$
$829$	−11.0292	+	4.91052i	−0.383060	+	0.170549i	0.206167	+	0.978517i	$0.433901\pi$
$830$	1.75952	+	3.56140i	0.0610740	+	0.123618i
$831$	1.58519	−	3.56039i	0.0549896	−	0.123509i
$832$	−0.699738	+	0.699738i	−0.0242590	+	0.0242590i
$833$	−6.48980	−	0.112407i	−0.224858	−	0.00389466i
$834$	−10.0544	+	3.26686i	−0.348154	+	0.113122i
$835$	13.1266	−	22.1005i	0.454264	−	0.764819i
$836$	−12.0083	+	10.8123i	−0.415315	+	0.373951i
$837$	−17.0169	−	26.2037i	−0.588190	−	0.905733i
$838$	−11.6605	+	0.611102i	−0.402806	+	0.0211102i
$839$	7.80656	−	24.0261i	0.269512	−	0.829473i	−0.721107	−	0.692824i	$-0.756366\pi$
$839$	7.80656	−	24.0261i	0.269512	−	0.829473i	0.990619	−	0.136650i	$-0.0436335\pi$
$840$	−4.65290	−	2.98760i	−0.160540	−	0.103082i
$841$	8.90524	+	27.4075i	0.307077	+	0.945087i
$842$	−11.3679	−	29.6145i	−0.391765	−	1.02058i
$843$	−19.1236	+	5.12415i	−0.658652	+	0.176485i
$844$	−6.24202	+	0.656062i	−0.214859	+	0.0225826i
$845$	6.63542	+	26.0473i	0.228266	+	0.896054i
$846$	−9.44510	+	13.0001i	−0.324729	+	0.446951i
$847$	−2.11183	+	0.487704i	−0.0725633	+	0.0167577i
$848$	0.965028	+	1.89397i	0.0331392	+	0.0650393i
$849$	−16.1375	+	9.31698i	−0.553837	+	0.319758i
$850$	−1.98985	+	4.18754i	−0.0682513	+	0.143631i
$851$	6.67019	−	11.5531i	0.228651	−	0.396036i
$852$	−7.40977	+	11.4100i	−0.253854	+	0.390902i
$853$	4.04731	+	25.5537i	0.138577	+	0.874941i	0.954810	+	0.297218i	$0.0960588\pi$
$853$	4.04731	+	25.5537i	0.138577	+	0.874941i	−0.816233	+	0.577723i	$0.803941\pi$
$854$	16.5690	+	0.577488i	0.566981	+	0.0197612i
$855$	0.893706	+	22.3306i	0.0305641	+	0.763689i
$856$	14.2365	+	6.33851i	0.486595	+	0.216646i
$857$	−7.00601	−	26.1468i	−0.239321	−	0.893157i	−0.976153	−	0.217082i	$-0.930346\pi$
$857$	−7.00601	−	26.1468i	−0.239321	−	0.893157i	0.736833	−	0.676075i	$-0.236321\pi$
$858$	−2.47114	−	2.00109i	−0.0843634	−	0.0683162i
$859$	21.2022	−	23.5474i	0.723410	−	0.803428i	−0.263507	−	0.964657i	$-0.584879\pi$
$859$	21.2022	−	23.5474i	0.723410	−	0.803428i	0.986917	+	0.161230i	$0.0515460\pi$
$860$	−13.6690	−	12.6170i	−0.466108	−	0.430235i
$861$	0.662937	+	2.31135i	0.0225928	+	0.0787706i
$862$	9.06268	−	17.7865i	0.308676	−	0.605811i
$863$	1.43106	+	27.3062i	0.0487137	+	0.929513i	0.908247	+	0.418434i	$0.137421\pi$
$863$	1.43106	+	27.3062i	0.0487137	+	0.929513i	−0.859534	+	0.511079i	$0.829246\pi$
$864$	3.20609	+	3.56073i	0.109073	+	0.121138i
$865$	−26.8104	−	37.8772i	−0.911582	−	1.28786i
$866$	−28.7186	−	25.8584i	−0.975898	−	0.878703i
$867$	2.35989	−	14.8998i	0.0801461	−	0.506023i
$868$	−11.3179	+	13.0215i	−0.384154	+	0.441978i
$869$	23.3975	+	32.2039i	0.793707	+	1.09244i
$870$	−0.828450	−	0.329817i	−0.0280871	−	0.0111818i
$871$	2.41128	+	5.41583i	0.0817032	+	0.183508i
$872$	−12.4494	−	4.77886i	−0.421588	−	0.161833i
$873$	−11.6007	−	7.53358i	−0.392624	−	0.254973i
$874$	−9.79712			−0.331393
$875$	−21.3216	+	20.5034i	−0.720800	+	0.693143i
$876$	14.5137			0.490372
$877$	24.8143	+	16.1146i	0.837921	+	0.544152i	0.890772	−	0.454450i	$-0.150164\pi$
$877$	24.8143	+	16.1146i	0.837921	+	0.544152i	−0.0528512	+	0.998602i	$0.516831\pi$
$878$	31.9968	+	12.2824i	1.07984	+	0.414511i
$879$	7.00847	+	15.7413i	0.236390	+	0.530940i
$880$	7.14220	+	2.84341i	0.240764	+	0.0958512i
$881$	12.7257	+	17.5155i	0.428741	+	0.590111i	0.967664	−	0.252244i	$-0.0811685\pi$
$881$	12.7257	+	17.5155i	0.428741	+	0.590111i	−0.538923	+	0.842355i	$0.681169\pi$
$882$	11.8889	+	8.95639i	0.400319	+	0.301577i
$883$	2.04616	−	12.9190i	0.0688589	−	0.434758i	−0.929041	−	0.369978i	$-0.879365\pi$
$883$	2.04616	−	12.9190i	0.0688589	−	0.434758i	0.997900	−	0.0647803i	$-0.0206347\pi$
$884$	0.681902	+	0.613988i	0.0229349	+	0.0206506i
$885$	−7.87781	−	11.1296i	−0.264810	−	0.374117i
$886$	11.7950	+	13.0997i	0.396260	+	0.440092i
$887$	−1.41265	−	26.9550i	−0.0474322	−	0.905060i	−0.913928	−	0.405876i	$-0.866967\pi$
$887$	−1.41265	−	26.9550i	−0.0474322	−	0.905060i	0.866496	−	0.499184i	$-0.166367\pi$
$888$	−2.71569	+	5.32984i	−0.0911326	+	0.178858i
$889$	−9.46212	−	9.13623i	−0.317349	−	0.306419i
$890$	−7.06446	−	6.52075i	−0.236801	−	0.218576i
$891$	4.37294	−	4.85664i	0.146499	−	0.162703i
$892$	−0.865643	−	0.700984i	−0.0289839	−	0.0234707i
$893$	9.19279	+	34.3080i	0.307625	+	1.14807i
$894$	−3.24803	−	1.44612i	−0.108630	−	0.0483654i
$895$	0.0274746	+	0.686492i	0.000918373	+	0.0229469i
$896$	1.40188	−	2.24382i	0.0468336	−	0.0749607i
$897$	−0.301592	−	1.90417i	−0.0100699	−	0.0635785i
$898$	−17.5613	+	27.0420i	−0.586028	+	0.902404i
$899$	−1.39108	+	2.40943i	−0.0463953	+	0.0803590i
$900$	9.33626	−	5.08685i	0.311209	−	0.169562i
$901$	1.70695	−	0.985511i	0.0568669	−	0.0328321i
$902$	−1.51766	−	2.97857i	−0.0505324	−	0.0991755i
$903$	−14.0309	−	15.0443i	−0.466919	−	0.500642i
$904$	−7.28998	+	10.0338i	−0.242461	+	0.333719i
$905$	12.7799	+	50.1674i	0.424819	+	1.66762i
$906$	−14.0515	+	1.47688i	−0.466831	+	0.0490659i
$907$	14.8636	−	3.98269i	0.493538	−	0.132243i	−0.00346133	−	0.999994i	$-0.501102\pi$
$907$	14.8636	−	3.98269i	0.493538	−	0.132243i	0.496999	+	0.867751i	$0.334435\pi$
$908$	−1.97845	−	5.15405i	−0.0656573	−	0.171043i
$909$	−2.48461	−	7.64683i	−0.0824092	−	0.253629i
$910$	2.68474	+	5.20255i	0.0889983	+	0.172463i
$911$	−8.08460	+	24.8818i	−0.267855	+	0.824372i	0.723167	+	0.690673i	$0.242686\pi$
$911$	−8.08460	+	24.8818i	−0.267855	+	0.824372i	−0.991022	+	0.133699i	$0.957314\pi$
$912$	4.38700	−	0.229913i	0.145268	−	0.00761318i
$913$	−3.32632	−	5.12209i	−0.110085	−	0.169516i
$914$	−6.39057	+	5.75410i	−0.211381	+	0.190329i
$915$	6.68781	−	11.2599i	0.221092	−	0.372241i
$916$	25.2308	−	8.19798i	0.833649	−	0.270869i
$917$	15.8815	+	1.38838i	0.524454	+	0.0458483i
$918$	3.14158	−	3.14158i	0.103688	−	0.103688i
$919$	−9.43514	+	21.1917i	−0.311237	+	0.699049i	−0.999655	−	0.0262648i	$-0.991639\pi$
$919$	−9.43514	+	21.1917i	−0.311237	+	0.699049i	0.688418	+	0.725314i	$0.258305\pi$
$920$	2.06452	+	4.17874i	0.0680652	+	0.137769i
$921$	4.36415	−	1.94305i	0.143804	−	0.0640255i
$922$	−5.14204	−	6.34989i	−0.169344	−	0.209122i
$923$	12.8344	−	6.53946i	0.422450	−	0.215249i
$924$	7.64132	+	3.72628i	0.251381	+	0.122586i
$925$	24.3635	+	20.7469i	0.801066	+	0.682154i
$926$	16.1208	+	27.9221i	0.529763	+	0.917576i
$927$	38.6407	+	2.02507i	1.26913	+	0.0665121i
$928$	0.152900	−	0.398317i	0.00501918	−	0.0130754i
$929$	−3.06268	+	29.1394i	−0.100483	+	0.956034i	0.821867	+	0.569679i	$0.192933\pi$
$929$	−3.06268	+	29.1394i	−0.100483	+	0.956034i	−0.922350	+	0.386354i	$0.873734\pi$
$930$	4.72633	+	12.7825i	0.154982	+	0.419155i
$931$	31.9228	−	7.96380i	1.04623	−	0.261003i
$932$	18.2208	+	18.2208i	0.596841	+	0.596841i
$933$	1.96258	−	0.753363i	0.0642519	−	0.0246640i
$934$	−4.19441	−	0.891549i	−0.137245	−	0.0291724i
$935$	2.28634	−	6.75154i	0.0747714	−	0.220799i
$936$	−0.437501	−	2.05828i	−0.0143002	−	0.0672770i
$937$	−5.88098	−	2.99651i	−0.192123	−	0.0978917i	0.355283	−	0.934759i	$-0.384385\pi$
$937$	−5.88098	−	2.99651i	−0.192123	−	0.0978917i	−0.547406	+	0.836867i	$0.684385\pi$
$938$	−9.53971	−	12.6578i	−0.311482	−	0.413293i
$939$	25.6251	+	8.32609i	0.836243	+	0.271712i
$940$	12.6961	−	11.1506i	0.414101	−	0.363692i
$941$	9.50013	−	44.6946i	0.309695	−	1.45700i	−0.497884	−	0.867244i	$-0.665890\pi$
$941$	9.50013	−	44.6946i	0.309695	−	1.45700i	0.807580	−	0.589759i	$-0.200777\pi$
$942$	−6.06744	+	7.49267i	−0.197688	+	0.244124i
$943$	0.524583	−	1.95777i	0.0170828	−	0.0637538i
$944$	5.27830	−	3.83491i	0.171794	−	0.124816i
$945$	25.8360	−	11.6630i	0.840444	−	0.379399i
$946$	23.1379	+	16.8106i	0.752277	+	0.546561i
$947$	25.8507	−	20.9334i	0.840033	−	0.680246i	−0.109474	−	0.993990i	$-0.534917\pi$
$947$	25.8507	−	20.9334i	0.840033	−	0.680246i	0.949508	+	0.313744i	$0.101583\pi$
$948$	0.566380	−	10.8072i	0.0183952	−	0.351001i
$949$	−13.3078	−	7.68328i	−0.431991	−	0.249410i
$950$	4.24892	−	23.1135i	0.137853	−	0.749902i
$951$		−	32.2979i		−	1.04733i
$952$	−2.14577	−	1.18923i	−0.0695448	−	0.0385432i
$953$	−19.5077	+	3.08971i	−0.631915	+	0.100085i	−0.464172	−	0.885745i	$-0.653648\pi$
$953$	−19.5077	+	3.08971i	−0.631915	+	0.100085i	−0.167743	+	0.985831i	$0.553648\pi$
$954$	−4.49528	−	0.472473i	−0.145540	−	0.0152969i
$955$	−46.2724	+	22.8611i	−1.49734	+	0.739766i
$956$	2.79112	+	26.5557i	0.0902711	+	0.858872i
$957$	1.32424	+	0.354828i	0.0428065	+	0.0114700i
$958$	25.3582	+	4.01635i	0.819287	+	0.129762i
$959$	10.2492	−	13.1202i	0.330965	−	0.423674i
$960$	−1.02253	−	1.82273i	−0.0330019	−	0.0588282i
$961$	11.2701	−	2.39554i	0.363552	−	0.0772754i
$962$	5.31159	−	3.44939i	0.171253	−	0.111213i
$963$	−27.7917	+	18.0481i	−0.895575	+	0.581593i
$964$	−8.89466	+	1.89062i	−0.286478	+	0.0608927i
$965$	−2.59858	+	22.0936i	−0.0836514	+	0.711217i
$966$	1.93123	+	4.77903i	0.0621362	+	0.153763i
$967$	34.4499	+	5.45633i	1.10783	+	0.175464i	0.683435	−	0.730012i	$-0.260485\pi$
$967$	34.4499	+	5.45633i	1.10783	+	0.175464i	0.424399	+	0.905475i	$0.360485\pi$
$968$	−0.791292	−	0.212026i	−0.0254331	−	0.00681477i
$969$	−0.425791	−	4.05113i	−0.0136784	−	0.130141i
$970$	10.1573	+	10.4115i	0.326131	+	0.334294i
$971$	24.7895	+	2.60548i	0.795534	+	0.0836139i	0.493571	−	0.869706i	$-0.335691\pi$
$971$	24.7895	+	2.60548i	0.795534	+	0.0836139i	0.301963	+	0.953320i	$0.402358\pi$
$972$	−15.9522	+	2.52657i	−0.511666	+	0.0810399i
$973$	−29.9212	+	0.524290i	−0.959231	+	0.0168080i
$974$			28.4435i			0.911388i
$975$	4.62315	+	0.114304i	0.148059	+	0.00366065i
$976$	5.42678	+	3.13315i	0.173707	+	0.100290i
$977$	−0.0569259	+	1.08621i	−0.00182122	+	0.0347510i	−0.999389	−	0.0349526i	$-0.988872\pi$
$977$	−0.0569259	+	1.08621i	−0.00182122	+	0.0347510i	0.997568	+	0.0697035i	$0.0222053\pi$
$978$	−12.6488	+	10.2428i	−0.404463	+	0.327528i
$979$	11.9582	+	8.68814i	0.382186	+	0.277674i
$980$	−10.1238	−	11.9377i	−0.323392	−	0.381337i
$981$	22.9405	−	16.6672i	0.732433	−	0.532144i
$982$	0.444682	−	1.65957i	0.0141904	−	0.0529592i
$983$	−38.5915	+	47.6565i	−1.23088	+	1.52001i	−0.453108	+	0.891456i	$0.649685\pi$
$983$	−38.5915	+	47.6565i	−1.23088	+	1.52001i	−0.777769	+	0.628550i	$0.783649\pi$
$984$	−0.188957	+	0.888971i	−0.00602372	+	0.0283394i
$985$	0.239200	−	1.06071i	0.00762154	−	0.0337970i
$986$	−0.376255	−	0.122253i	−0.0119824	−	0.00389332i
$987$	14.9233	−	11.2471i	0.475014	−	0.357998i
$988$	−4.14423	−	2.11159i	−0.131846	−	0.0671787i
$989$	3.60525	+	16.9614i	0.114640	+	0.539341i
$990$	−13.3425	+	9.44414i	−0.424051	+	0.300154i
$991$	31.7697	+	6.75285i	1.00920	+	0.214511i	0.682709	−	0.730690i	$-0.260802\pi$
$991$	31.7697	+	6.75285i	1.00920	+	0.214511i	0.326488	+	0.945201i	$0.394135\pi$
$992$	−6.08777	+	2.33688i	−0.193287	+	0.0741959i
$993$	−5.60251	−	5.60251i	−0.177790	−	0.177790i
$994$	−29.5001	+	24.7569i	−0.935686	+	0.785241i
$995$	7.09423	−	5.60105i	0.224902	−	0.177565i
$996$	−0.173559	+	1.65130i	−0.00549943	+	0.0523235i
$997$	7.74441	−	20.1749i	0.245268	−	0.638945i	−0.754583	−	0.656205i	$-0.772161\pi$
$997$	7.74441	−	20.1749i	0.245268	−	0.638945i	0.999851	+	0.0172595i	$0.00549415\pi$
$998$	2.90351	+	0.152167i	0.0919090	+	0.00481675i
$999$	−15.3327	−	26.5570i	−0.485104	−	0.840226i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.297.17	yes	320
7.5	odd	6	inner	350.2.x.a.47.17	yes	320
25.8	odd	20	inner	350.2.x.a.283.17	yes	320
175.33	even	60	inner	350.2.x.a.33.17	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.33.17	✓	320	175.33	even	60	inner
350.2.x.a.47.17	yes	320	7.5	odd	6	inner
350.2.x.a.283.17	yes	320	25.8	odd	20	inner
350.2.x.a.297.17	yes	320	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(0.838671 + 0.544639i) q^{2} +(0.872574 + 0.334950i) q^{3} +(0.406737 + 0.913545i) q^{4} +(2.07749 + 0.827074i) q^{5} +(0.549376 + 0.756151i) q^{6} +(0.861541 + 2.50155i) q^{7} +(-0.156434 + 0.987688i) q^{8} +(-1.58024 - 1.42285i) q^{9} +(1.29187 + 1.82512i) q^{10} +(-2.30041 - 2.55486i) q^{11} +(0.0489160 + 0.933373i) q^{12} +(0.449259 - 0.881721i) q^{13} +(-0.639893 + 2.56720i) q^{14} +(1.53573 + 1.41754i) q^{15} +(-0.669131 + 0.743145i) q^{16} +(0.720611 + 0.583539i) q^{17} +(-0.550359 - 2.05397i) q^{18} +(-4.29381 - 1.91173i) q^{19} +(0.0894196 + 2.23428i) q^{20} +(-0.0861354 + 2.47136i) q^{21} +(-0.537807 - 3.39558i) q^{22} +(1.13526 - 1.74814i) q^{23} +(-0.467327 + 0.809434i) q^{24} +(3.63190 + 3.43647i) q^{25} +(0.857000 - 0.494789i) q^{26} +(-2.17526 - 4.26920i) q^{27} +(-1.93486 + 1.80453i) q^{28} +(-0.250782 + 0.345171i) q^{29} +(0.515927 + 2.02527i) q^{30} +(6.48516 - 0.681618i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-1.15153 - 2.99983i) q^{33} +(0.286537 + 0.881870i) q^{34} +(-0.279129 + 5.90949i) q^{35} +(0.657101 - 2.02235i) q^{36} +(6.39127 - 0.334952i) q^{37} +(-2.55989 - 3.94189i) q^{38} +(0.687345 - 0.618888i) q^{39} +(-1.14188 + 1.92253i) q^{40} +(0.924781 - 0.300480i) q^{41} +(-1.41824 + 2.02574i) q^{42} +(-5.88242 + 5.88242i) q^{43} +(1.39832 - 3.14068i) q^{44} +(-2.10612 - 4.26294i) q^{45} +(1.90421 - 0.847811i) q^{46} +(-4.75565 - 5.87274i) q^{47} +(-0.832783 + 0.424324i) q^{48} +(-5.51550 + 4.31037i) q^{49} +(1.17433 + 4.86014i) q^{50} +(0.433330 + 0.750550i) q^{51} +(0.988223 + 0.0517906i) q^{52} +(0.761767 - 1.98447i) q^{53} +(0.500841 - 4.76518i) q^{54} +(-2.66601 - 7.21030i) q^{55} +(-2.60553 + 0.459605i) q^{56} +(-3.10634 - 3.10634i) q^{57} +(-0.398317 + 0.152900i) q^{58} +(-6.38176 - 1.35649i) q^{59} +(-0.670347 + 1.97953i) q^{60} +(-1.30284 - 6.12937i) q^{61} +(5.81015 + 2.96042i) q^{62} +(2.19790 - 5.17889i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(1.66258 - 1.46019i) q^{65} +(0.668073 - 3.14304i) q^{66} +(-3.77013 + 4.65572i) q^{67} +(-0.239991 + 0.895658i) q^{68} +(1.57614 - 1.14513i) q^{69} +(-3.45264 + 4.80409i) q^{70} +(11.7761 + 8.55586i) q^{71} +(1.65254 - 1.33820i) q^{72} +(0.812693 - 15.5071i) q^{73} +(5.54260 + 3.20002i) q^{74} +(2.01805 + 4.21508i) q^{75} -4.70016i q^{76} +(4.40922 - 7.95570i) q^{77} +(0.913526 - 0.144688i) q^{78} +(-11.5152 - 1.21030i) q^{79} +(-2.00475 + 0.990452i) q^{80} +(0.198702 + 1.89052i) q^{81} +(0.939239 + 0.251668i) q^{82} +(1.75461 + 0.277904i) q^{83} +(-2.29273 + 0.926504i) q^{84} +(1.01443 + 1.80829i) q^{85} +(-8.13721 + 1.72962i) q^{86} +(-0.334441 + 0.217188i) q^{87} +(2.88327 - 1.87242i) q^{88} +(-4.20551 + 0.893908i) q^{89} +(0.555421 - 4.72227i) q^{90} +(2.59272 + 0.364206i) q^{91} +(2.05876 + 0.326075i) q^{92} +(5.88709 + 1.57744i) q^{93} +(-0.789901 - 7.51541i) q^{94} +(-7.33919 - 7.52289i) q^{95} +(-0.929534 - 0.0976979i) q^{96} +(6.42485 - 1.01760i) q^{97} +(-6.97328 + 0.611028i) q^{98} +7.31044i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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