LMFDB - Embedded newform 300.2.r.a.59.41

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(59,300)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 7]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("300.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.r (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.41
Character	$\chi$	$=$	300.59
Dual form			300.2.r.a.239.41

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.932419 - 1.06329i) q^{2} +(1.44187 - 0.959691i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(1.84864 + 1.25798i) q^{5} +(0.323994 - 2.42797i) q^{6} -2.80461 q^{7} +(-2.35192 - 1.57114i) q^{8} +(1.15799 - 2.76750i) q^{9} +O(q^{10})$	\(q+(0.932419 - 1.06329i) q^{2} +(1.44187 - 0.959691i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(1.84864 + 1.25798i) q^{5} +(0.323994 - 2.42797i) q^{6} -2.80461 q^{7} +(-2.35192 - 1.57114i) q^{8} +(1.15799 - 2.76750i) q^{9} +(3.06132 - 0.792685i) q^{10} +(-1.50008 - 1.08987i) q^{11} +(-2.27955 - 2.60838i) q^{12} +(2.01229 + 2.76969i) q^{13} +(-2.61507 + 2.98213i) q^{14} +(3.87278 + 0.0397234i) q^{15} +(-3.86356 + 1.03582i) q^{16} +(-0.345387 + 1.06299i) q^{17} +(-1.86294 - 3.81175i) q^{18} +(7.11064 + 2.31039i) q^{19} +(2.01157 - 3.99419i) q^{20} +(-4.04389 + 2.69156i) q^{21} +(-2.55756 + 0.578810i) q^{22} +(-1.23722 + 1.70289i) q^{23} +(-4.89897 - 0.00827497i) q^{24} +(1.83496 + 4.65112i) q^{25} +(4.82129 + 0.442845i) q^{26} +(-0.986279 - 5.10169i) q^{27} +(0.732538 + 5.56118i) q^{28} +(-3.56932 + 1.15974i) q^{29} +(3.65329 - 4.08087i) q^{30} +(-8.53887 - 2.77445i) q^{31} +(-2.50108 + 5.07391i) q^{32} +(-3.20886 - 0.131842i) q^{33} +(0.808228 + 1.35840i) q^{34} +(-5.18472 - 3.52815i) q^{35} +(-5.79006 - 1.57329i) q^{36} +(4.97454 + 6.84687i) q^{37} +(9.08672 - 5.40646i) q^{38} +(5.55951 + 2.06235i) q^{39} +(-2.37138 - 5.86315i) q^{40} +(-3.81439 - 5.25005i) q^{41} +(-0.908676 + 6.80950i) q^{42} +7.87791 q^{43} +(-1.76927 + 3.25913i) q^{44} +(5.62217 - 3.65940i) q^{45} +(0.657066 + 2.90334i) q^{46} +(-0.999744 + 0.324837i) q^{47} +(-4.57669 + 5.20134i) q^{48} +0.865841 q^{49} +(6.65646 + 2.38569i) q^{50} +(0.522140 + 1.86416i) q^{51} +(4.96634 - 4.71354i) q^{52} +(0.595625 + 1.83314i) q^{53} +(-6.34423 - 3.70821i) q^{54} +(-1.40207 - 3.90186i) q^{55} +(6.59621 + 4.40645i) q^{56} +(12.4699 - 3.49274i) q^{57} +(-2.09495 + 4.87660i) q^{58} +(-6.91365 + 5.02306i) q^{59} +(-0.932768 - 7.68960i) q^{60} +(-0.730226 - 0.530540i) q^{61} +(-10.9119 + 6.49239i) q^{62} +(-3.24770 + 7.76177i) q^{63} +(3.06301 + 7.39040i) q^{64} +(0.235797 + 7.65159i) q^{65} +(-3.13219 + 3.28904i) q^{66} +(-0.462733 + 1.42415i) q^{67} +(2.19799 + 0.407214i) q^{68} +(-0.149667 + 3.64271i) q^{69} +(-8.58580 + 2.22317i) q^{70} +(-1.11003 - 3.41631i) q^{71} +(-7.07163 + 4.68957i) q^{72} +(7.45432 - 10.2600i) q^{73} +(11.9186 + 1.09475i) q^{74} +(7.10941 + 4.94532i) q^{75} +(2.72397 - 14.7029i) q^{76} +(4.20714 + 3.05667i) q^{77} +(7.37668 - 3.98843i) q^{78} +(4.76272 - 1.54750i) q^{79} +(-8.44538 - 2.94544i) q^{80} +(-6.31813 - 6.40946i) q^{81} +(-9.13896 - 0.839431i) q^{82} +(-5.84619 - 1.89954i) q^{83} +(6.39324 + 7.31550i) q^{84} +(-1.97572 + 1.53060i) q^{85} +(7.34551 - 8.37654i) q^{86} +(-4.03351 + 5.09764i) q^{87} +(1.81572 + 4.92013i) q^{88} +(9.96050 - 13.7094i) q^{89} +(1.35120 - 9.39011i) q^{90} +(-5.64370 - 7.76789i) q^{91} +(3.69977 + 2.00848i) q^{92} +(-14.9746 + 4.19428i) q^{93} +(-0.586783 + 1.36591i) q^{94} +(10.2386 + 13.2161i) q^{95} +(1.26316 + 9.71619i) q^{96} +(-16.7757 + 5.45075i) q^{97} +(0.807327 - 0.920644i) q^{98} +(-4.75330 + 2.88942i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	0.932419	−	1.06329i	0.659320	−	0.751863i
$2$	0.932419	−	1.06329i	0.659320	−	0.751863i
$3$	1.44187	−	0.959691i	0.832465	−	0.554078i
$3$	1.44187	−	0.959691i	0.832465	−	0.554078i
$4$	−0.261191	−	1.98287i	−0.130595	−	0.991436i
$5$	1.84864	+	1.25798i	0.826738	+	0.562587i
$5$	1.84864	+	1.25798i	0.826738	+	0.562587i
$6$	0.323994	−	2.42797i	0.132270	−	0.991214i
$7$	−2.80461			−1.06004			−0.530022	−	0.847984i	$-0.677816\pi$
$7$	−2.80461			−1.06004			−0.530022	+	0.847984i	$0.677816\pi$
$8$	−2.35192	−	1.57114i	−0.831528	−	0.555483i
$9$	1.15799	−	2.76750i	0.385996	−	0.922501i
$10$	3.06132	−	0.792685i	0.968073	−	0.250669i
$11$	−1.50008	−	1.08987i	−0.452291	−	0.328609i	0.338209	−	0.941071i	$-0.390179\pi$
$11$	−1.50008	−	1.08987i	−0.452291	−	0.328609i	−0.790500	+	0.612462i	$0.790179\pi$
$12$	−2.27955	−	2.60838i	−0.658049	−	0.752975i
$13$	2.01229	+	2.76969i	0.558110	+	0.768173i	0.991085	−	0.133234i	$-0.0425360\pi$
$13$	2.01229	+	2.76969i	0.558110	+	0.768173i	−0.432975	+	0.901406i	$0.642536\pi$
$14$	−2.61507	+	2.98213i	−0.698907	+	0.797007i
$15$	3.87278	+	0.0397234i	0.999947	+	0.0102565i
$16$	−3.86356	+	1.03582i	−0.965890	+	0.258954i
$17$	−0.345387	+	1.06299i	−0.0837686	+	0.257813i	−0.984164	−	0.177259i	$-0.943277\pi$
$17$	−0.345387	+	1.06299i	−0.0837686	+	0.257813i	0.900396	+	0.435072i	$0.143277\pi$
$18$	−1.86294	−	3.81175i	−0.439100	−	0.898438i
$19$	7.11064	+	2.31039i	1.63129	+	0.530039i	0.974568	−	0.224090i	$-0.0719411\pi$
$19$	7.11064	+	2.31039i	1.63129	+	0.530039i	0.656725	+	0.754130i	$0.271941\pi$
$20$	2.01157	−	3.99419i	0.449801	−	0.893129i
$21$	−4.04389	+	2.69156i	−0.882449	+	0.587346i
$22$	−2.55756	+	0.578810i	−0.545273	+	0.123403i
$23$	−1.23722	+	1.70289i	−0.257979	+	0.355078i	−0.918286	−	0.395918i	$-0.870426\pi$
$23$	−1.23722	+	1.70289i	−0.257979	+	0.355078i	0.660307	+	0.750996i	$0.270426\pi$
$24$	−4.89897	−	0.00827497i	−0.999999	−	0.00168912i
$25$	1.83496	+	4.65112i	0.366992	+	0.930224i
$26$	4.82129	+	0.442845i	0.945533	+	0.0868490i
$27$	−0.986279	−	5.10169i	−0.189809	−	0.981821i
$28$	0.732538	+	5.56118i	0.138437	+	1.05096i
$29$	−3.56932	+	1.15974i	−0.662806	+	0.215359i	−0.621052	−	0.783769i	$-0.713294\pi$
$29$	−3.56932	+	1.15974i	−0.662806	+	0.215359i	−0.0417538	+	0.999128i	$0.513294\pi$
$30$	3.65329	−	4.08087i	0.666996	−	0.745061i
$31$	−8.53887	−	2.77445i	−1.53363	−	0.498306i	−0.584018	−	0.811741i	$-0.698520\pi$
$31$	−8.53887	−	2.77445i	−1.53363	−	0.498306i	−0.949610	+	0.313435i	$0.898520\pi$
$32$	−2.50108	+	5.07391i	−0.442132	+	0.896950i
$33$	−3.20886	−	0.131842i	−0.558591	−	0.0229507i
$34$	0.808228	+	1.35840i	0.138610	+	0.232964i
$35$	−5.18472	−	3.52815i	−0.876378	−	0.596366i
$36$	−5.79006	−	1.57329i	−0.965009	−	0.262215i
$37$	4.97454	+	6.84687i	0.817809	+	1.12562i	0.990071	+	0.140567i	$0.0448924\pi$
$37$	4.97454	+	6.84687i	0.817809	+	1.12562i	−0.172262	+	0.985051i	$0.555108\pi$
$38$	9.08672	−	5.40646i	1.47406	−	0.877044i
$39$	5.55951	+	2.06235i	0.890234	+	0.330240i
$40$	−2.37138	−	5.86315i	−0.374948	−	0.927046i
$41$	−3.81439	−	5.25005i	−0.595707	−	0.819921i	0.399600	−	0.916690i	$-0.369149\pi$
$41$	−3.81439	−	5.25005i	−0.595707	−	0.819921i	−0.995307	+	0.0967691i	$0.969149\pi$
$42$	−0.908676	+	6.80950i	−0.140212	+	1.05073i
$43$	7.87791			1.20137			0.600685	−	0.799486i	$-0.294895\pi$
$43$	7.87791			1.20137			0.600685	+	0.799486i	$0.294895\pi$
$44$	−1.76927	+	3.25913i	−0.266727	+	0.491332i
$45$	5.62217	−	3.65940i	0.838104	−	0.545510i
$46$	0.657066	+	2.90334i	0.0968791	+	0.428075i
$47$	−0.999744	+	0.324837i	−0.145828	+	0.0473823i	−0.381021	−	0.924566i	$-0.624428\pi$
$47$	−0.999744	+	0.324837i	−0.145828	+	0.0473823i	0.235194	+	0.971949i	$0.424428\pi$
$48$	−4.57669	+	5.20134i	−0.660589	+	0.750748i
$49$	0.865841			0.123692
$50$	6.65646	+	2.38569i	0.941366	+	0.337387i
$51$	0.522140	+	1.86416i	0.0731142	+	0.261035i
$52$	4.96634	−	4.71354i	0.688707	−	0.653650i
$53$	0.595625	+	1.83314i	0.0818153	+	0.251802i	0.983594	−	0.180396i	$-0.0577381\pi$
$53$	0.595625	+	1.83314i	0.0818153	+	0.251802i	−0.901779	+	0.432198i	$0.857738\pi$
$54$	−6.34423	−	3.70821i	−0.863340	−	0.504623i
$55$	−1.40207	−	3.90186i	−0.189055	−	0.526127i
$56$	6.59621	+	4.40645i	0.881455	+	0.588836i
$57$	12.4699	−	3.49274i	1.65168	−	0.462624i
$58$	−2.09495	+	4.87660i	−0.275081	+	0.640329i
$59$	−6.91365	+	5.02306i	−0.900081	+	0.653947i	−0.938487	−	0.345315i	$-0.887772\pi$
$59$	−6.91365	+	5.02306i	−0.900081	+	0.653947i	0.0384059	+	0.999262i	$0.487772\pi$
$60$	−0.932768	−	7.68960i	−0.120420	−	0.992723i
$61$	−0.730226	−	0.530540i	−0.0934959	−	0.0679287i	0.540055	−	0.841630i	$-0.318403\pi$
$61$	−0.730226	−	0.530540i	−0.0934959	−	0.0679287i	−0.633551	+	0.773701i	$0.718403\pi$
$62$	−10.9119	+	6.49239i	−1.38581	+	0.824535i
$63$	−3.24770	+	7.76177i	−0.409172	+	0.977891i
$64$	3.06301	+	7.39040i	0.382877	+	0.923799i
$65$	0.235797	+	7.65159i	0.0292470	+	0.949063i
$66$	−3.13219	+	3.28904i	−0.385546	+	0.404852i
$67$	−0.462733	+	1.42415i	−0.0565319	+	0.173987i	−0.975335	−	0.220728i	$-0.929157\pi$
$67$	−0.462733	+	1.42415i	−0.0565319	+	0.173987i	0.918804	+	0.394715i	$0.129157\pi$
$68$	2.19799	+	0.407214i	0.266545	+	0.0493820i
$69$	−0.149667	+	3.64271i	−0.0180178	+	0.438530i
$70$	−8.58580	+	2.22317i	−1.02620	+	0.265720i
$71$	−1.11003	−	3.41631i	−0.131736	−	0.405442i	0.863332	−	0.504636i	$-0.168373\pi$
$71$	−1.11003	−	3.41631i	−0.131736	−	0.405442i	−0.995068	+	0.0991946i	$0.968373\pi$
$72$	−7.07163	+	4.68957i	−0.833400	+	0.552671i
$73$	7.45432	−	10.2600i	0.872462	−	1.20084i	−0.105990	−	0.994367i	$-0.533801\pi$
$73$	7.45432	−	10.2600i	0.872462	−	1.20084i	0.978452	−	0.206474i	$-0.0661987\pi$
$74$	11.9186	+	1.09475i	1.38551	+	0.127262i
$75$	7.10941	+	4.94532i	0.820924	+	0.571037i
$76$	2.72397	−	14.7029i	0.312461	−	1.68654i
$77$	4.20714	+	3.05667i	0.479448	+	0.348340i
$78$	7.37668	−	3.98843i	0.835244	−	0.451600i
$79$	4.76272	−	1.54750i	0.535848	−	0.174108i	−0.0285776	−	0.999592i	$-0.509098\pi$
$79$	4.76272	−	1.54750i	0.535848	−	0.174108i	0.564425	+	0.825484i	$0.309098\pi$
$80$	−8.44538	−	2.94544i	−0.944222	−	0.329310i
$81$	−6.31813	−	6.40946i	−0.702015	−	0.712162i
$82$	−9.13896	−	0.839431i	−1.00923	−	0.0926996i
$83$	−5.84619	−	1.89954i	−0.641703	−	0.208502i	−0.0299505	−	0.999551i	$-0.509535\pi$
$83$	−5.84619	−	1.89954i	−0.641703	−	0.208502i	−0.611752	+	0.791050i	$0.709535\pi$
$84$	6.39324	+	7.31550i	0.697560	+	0.798186i
$85$	−1.97572	+	1.53060i	−0.214297	+	0.166017i
$86$	7.34551	−	8.37654i	0.792087	−	0.903266i
$87$	−4.03351	+	5.09764i	−0.432437	+	0.546525i
$88$	1.81572	+	4.92013i	0.193556	+	0.524488i
$89$	9.96050	−	13.7094i	1.05581	−	1.45320i	0.172150	−	0.985071i	$-0.444929\pi$
$89$	9.96050	−	13.7094i	1.05581	−	1.45320i	0.883661	−	0.468128i	$-0.155071\pi$
$90$	1.35120	−	9.39011i	0.142429	−	0.989805i
$91$	−5.64370	−	7.76789i	−0.591621	−	0.814296i
$92$	3.69977	+	2.00848i	0.385728	+	0.209398i
$93$	−14.9746	+	4.19428i	−1.55279	+	0.434927i
$94$	−0.586783	+	1.36591i	−0.0605221	+	0.140882i
$95$	10.2386	+	13.2161i	1.05046	+	1.35595i
$96$	1.26316	+	9.71619i	0.128921	+	0.991655i
$97$	−16.7757	+	5.45075i	−1.70331	+	0.553440i	−0.989198	−	0.146588i	$-0.953171\pi$
$97$	−16.7757	+	5.45075i	−1.70331	+	0.553440i	−0.714115	+	0.700028i	$0.753171\pi$
$98$	0.807327	−	0.920644i	0.0815523	−	0.0929991i
$99$	−4.75330	+	2.88942i	−0.477724	+	0.290397i
$100$	8.74330	−	4.85332i	0.874330	−	0.485332i
$101$		−	6.81866i		−	0.678482i	−0.940700	−	0.339241i	$-0.889830\pi$
$101$		−	6.81866i		−	0.678482i	0.940700	−	0.339241i	$-0.110170\pi$
$102$	2.46900	+	1.18299i	0.244468	+	0.117133i
$103$	4.18192	+	12.8706i	0.412057	+	1.26818i	0.914857	+	0.403778i	$0.132303\pi$
$103$	4.18192	+	12.8706i	0.412057	+	1.26818i	−0.502800	+	0.864403i	$0.667697\pi$
$104$	−0.381173	−	9.67567i	−0.0373771	−	0.948777i
$105$	−10.8616	−	0.111409i	−1.05999	−	0.0108724i
$106$	2.50454	+	1.07593i	0.243263	+	0.104504i
$107$		−	9.81778i		−	0.949120i	−0.880223	−	0.474560i	$-0.842607\pi$
$107$		−	9.81778i		−	0.949120i	0.880223	−	0.474560i	$-0.157393\pi$
$108$	−9.85839	+	3.28818i	−0.948624	+	0.316405i
$109$	1.78582	−	1.29748i	0.171051	−	0.124276i	−0.498966	−	0.866622i	$-0.666287\pi$
$109$	1.78582	−	1.29748i	0.171051	−	0.124276i	0.670017	+	0.742346i	$0.266287\pi$
$110$	−5.45614	−	2.14735i	−0.520223	−	0.204742i
$111$	13.7435	+	5.09828i	1.30448	+	0.483907i
$112$	10.8358	−	2.90506i	1.02388	−	0.274502i
$113$	−12.5977	+	9.15275i	−1.18509	+	0.861018i	−0.992737	−	0.120308i	$-0.961612\pi$
$113$	−12.5977	+	9.15275i	−1.18509	+	0.861018i	−0.192353	+	0.981326i	$0.561612\pi$
$114$	7.91335	−	16.5159i	0.741153	−	1.54685i
$115$	−4.42940	+	1.59163i	−0.413043	+	0.148421i
$116$	3.23189	+	6.77459i	0.300074	+	0.629005i
$117$	9.99532	−	2.36177i	0.924068	−	0.218346i
$118$	−1.10542	+	12.0348i	−0.101762	+	1.10790i
$119$	0.968675	−	2.98128i	0.0887983	−	0.273293i
$120$	−9.04604	−	6.17812i	−0.825787	−	0.563983i
$121$	−2.33677	−	7.19183i	−0.212433	−	0.653803i
$122$	−1.24500	+	0.281760i	−0.112717	+	0.0255093i
$123$	−10.5383	−	3.90927i	−0.950205	−	0.352487i
$124$	−3.27110	+	17.6562i	−0.293753	+	1.58557i
$125$	−2.45884	+	10.9066i	−0.219926	+	0.975517i
$126$	5.22483	+	10.6905i	0.465465	+	0.952384i
$127$	1.96048	+	1.42437i	0.173964	+	0.126392i	0.671360	−	0.741131i	$-0.265710\pi$
$127$	1.96048	+	1.42437i	0.173964	+	0.126392i	−0.497396	+	0.867524i	$0.665710\pi$
$128$	10.7142	+	3.63406i	0.947009	+	0.321208i
$129$	11.3589	−	7.56036i	1.00010	−	0.665653i
$130$	8.35576	+	6.88376i	0.732848	+	0.603746i
$131$	1.27975	−	3.93867i	0.111812	−	0.344123i	−0.879457	−	0.475979i	$-0.842094\pi$
$131$	1.27975	−	3.93867i	0.111812	−	0.344123i	0.991269	+	0.131856i	$0.0420937\pi$
$132$	0.576700	+	6.39720i	0.0501953	+	0.556805i
$133$	−19.9426	−	6.47974i	−1.72924	−	0.561865i
$134$	1.08283	+	1.81992i	0.0935419	+	0.157217i
$135$	4.59456	−	10.6719i	0.395437	−	0.918493i
$136$	2.48243	−	1.95741i	0.212867	−	0.167847i
$137$	2.61762	−	1.90181i	0.223638	−	0.162483i	−0.470325	−	0.882494i	$-0.655863\pi$
$137$	2.61762	−	1.90181i	0.223638	−	0.162483i	0.693963	+	0.720011i	$0.255863\pi$
$138$	3.73372	+	3.55567i	0.317835	+	0.302679i
$139$	−4.14436	+	5.70423i	−0.351520	+	0.483826i	−0.947762	−	0.318979i	$-0.896660\pi$
$139$	−4.14436	+	5.70423i	−0.351520	+	0.483826i	0.596241	+	0.802805i	$0.296660\pi$
$140$	−5.64167	+	11.2022i	−0.476808	+	0.946755i
$141$	−1.12976	+	1.42782i	−0.0951429	+	0.120244i
$142$	−4.66756	−	2.00515i	−0.391693	−	0.168268i
$143$		−	6.34789i		−	0.530838i
$144$	−1.60733	+	11.8919i	−0.133944	+	0.990989i
$145$	−8.05733	−	2.34619i	−0.669125	−	0.194841i
$146$	−3.95884	−	17.4927i	−0.327636	−	1.44771i
$147$	1.24843	−	0.830940i	0.102969	−	0.0685348i
$148$	12.2772	−	11.6522i	1.00918	−	0.957806i
$149$		−	20.1075i		−	1.64727i	−0.567122	−	0.823634i	$-0.691943\pi$
$149$		−	20.1075i		−	1.64727i	0.567122	−	0.823634i	$-0.308057\pi$
$150$	11.8873	−	2.94829i	0.970593	−	0.240727i
$151$			7.94771i			0.646776i	0.946267	+	0.323388i	$0.104822\pi$
$151$			7.94771i			0.646776i	−0.946267	+	0.323388i	$0.895178\pi$
$152$	−13.0937	−	16.6057i	−1.06204	−	1.34690i
$153$	2.54188	+	2.18679i	0.205499	+	0.176791i
$154$	7.17295	−	1.62334i	0.578013	−	0.130812i
$155$	−12.2951	−	15.8707i	−0.987568	−	1.27477i
$156$	2.63728	−	11.5625i	0.211151	−	0.925738i
$157$		−	21.0927i		−	1.68338i	−0.539959	−	0.841691i	$-0.681560\pi$
$157$		−	21.0927i		−	1.68338i	0.539959	−	0.841691i	$-0.318440\pi$
$158$	2.79540	−	6.50709i	0.222390	−	0.517677i
$159$	2.61807	+	2.07154i	0.207626	+	0.164284i
$160$	−11.0065	+	6.23354i	−0.870140	+	0.492805i
$161$	3.46993	−	4.77595i	0.273469	−	0.376398i
$162$	−12.7063	+	0.741738i	−0.998300	+	0.0582764i
$163$	4.21409	−	3.06171i	0.330073	−	0.239812i	−0.410389	−	0.911911i	$-0.634607\pi$
$163$	4.21409	−	3.06171i	0.330073	−	0.239812i	0.740461	+	0.672099i	$0.234607\pi$
$164$	−9.41390	+	8.93471i	−0.735102	+	0.697683i
$165$	−5.76619	−	4.28042i	−0.448897	−	0.333230i
$166$	−7.47087	+	4.44505i	−0.579852	+	0.345003i
$167$	−5.01679	−	1.63005i	−0.388211	−	0.126137i	0.108407	−	0.994107i	$-0.465425\pi$
$167$	−5.01679	−	1.63005i	−0.388211	−	0.126137i	−0.496618	+	0.867969i	$0.665425\pi$
$168$	13.7397	+	0.0232081i	1.06004	+	0.00179054i
$169$	0.395392	−	1.21689i	0.0304148	−	0.0936070i
$170$	−0.214720	+	3.52793i	−0.0164683	+	0.270580i
$171$	14.6280	−	17.0033i	1.11863	−	1.30028i
$172$	−2.05764	−	15.6209i	−0.156893	−	1.19108i
$173$	13.1367	+	9.54436i	0.998764	+	0.725644i	0.961823	−	0.273673i	$-0.0882386\pi$
$173$	13.1367	+	9.54436i	0.998764	+	0.725644i	0.0369410	+	0.999317i	$0.488239\pi$
$174$	1.65938	+	9.04194i	0.125797	+	0.685468i
$175$	−5.14635	−	13.0446i	−0.389027	−	0.986078i
$176$	6.92455	+	2.65698i	0.521958	+	0.200277i
$177$	−5.14801	+	13.8776i	−0.386948	+	1.04310i
$178$	−5.28983	−	23.3739i	−0.396489	−	1.75195i
$179$	−2.97647	−	9.16063i	−0.222472	−	0.684697i	−0.998538	−	0.0540466i	$-0.982788\pi$
$179$	−2.97647	−	9.16063i	−0.222472	−	0.684697i	0.776067	−	0.630651i	$-0.217212\pi$
$180$	−8.72457	−	10.1922i	−0.650291	−	0.759685i
$181$	−3.65420	+	11.2465i	−0.271614	+	0.835943i	0.718481	+	0.695546i	$0.244838\pi$
$181$	−3.65420	+	11.2465i	−0.271614	+	0.835943i	−0.990095	+	0.140396i	$0.955162\pi$
$182$	−13.5218	−	1.24201i	−1.00231	−	0.0920637i
$183$	−1.56205	−	0.0641795i	−0.115470	−	0.00474429i
$184$	5.58534	−	2.06120i	0.411757	−	0.151954i
$185$	0.582908	+	18.9153i	0.0428563	+	1.39068i
$186$	−9.50281	+	19.8332i	−0.696780	+	1.45424i
$187$	1.67663	−	1.21814i	0.122607	−	0.0890795i
$188$	0.905233	+	1.89752i	0.0660209	+	0.138391i
$189$	2.76613	+	14.3083i	0.201206	+	1.04077i
$190$	23.5993	+	1.43632i	1.71208	+	0.104202i
$191$	−16.3988	+	11.9144i	−1.18657	+	0.862096i	−0.992898	−	0.118970i	$-0.962041\pi$
$191$	−16.3988	+	11.9144i	−1.18657	+	0.862096i	−0.193675	+	0.981066i	$0.562041\pi$
$192$	11.5090	+	7.71645i	0.830588	+	0.556887i
$193$			7.83027i			0.563635i	0.959468	+	0.281818i	$0.0909373\pi$
$193$			7.83027i			0.563635i	−0.959468	+	0.281818i	$0.909063\pi$
$194$	−9.84621	+	22.9199i	−0.706917	+	1.64555i
$195$	7.68315	+	10.8063i	0.550202	+	0.773856i
$196$	−0.226150	−	1.71685i	−0.0161536	−	0.122632i
$197$	−4.59514	−	14.1424i	−0.327390	−	1.00760i	−0.970350	−	0.241703i	$-0.922294\pi$
$197$	−4.59514	−	14.1424i	−0.327390	−	1.00760i	0.642960	−	0.765900i	$-0.277706\pi$
$198$	−1.35976	+	7.74830i	−0.0966339	+	0.550648i
$199$		−	14.5552i		−	1.03179i	−0.856652	−	0.515894i	$-0.827460\pi$
$199$		−	14.5552i		−	1.03179i	0.856652	−	0.515894i	$-0.172540\pi$
$200$	2.99191	−	13.8220i	0.211560	−	0.977365i
$201$	0.699539	+	2.49752i	0.0493417	+	0.176161i
$202$	−7.25024	−	6.35784i	−0.510125	−	0.447336i
$203$	10.0106	−	3.25263i	0.702603	−	0.228290i
$204$	3.56001	−	1.52224i	0.249251	−	0.106578i
$205$	−0.446963	−	14.5039i	−0.0312173	−	1.01300i
$206$	17.5846	+	7.55421i	1.22518	+	0.526326i
$207$	3.28007	+	5.39595i	0.227981	+	0.375044i
$208$	−10.6435	−	8.61648i	−0.737994	−	0.597445i
$209$	−8.14851	−	11.2155i	−0.563644	−	0.775790i
$210$	−10.2461	+	11.4452i	−0.707045	+	0.789797i
$211$	−5.00382	+	6.88717i	−0.344477	+	0.474132i	−0.945742	−	0.324917i	$-0.894663\pi$
$211$	−5.00382	+	6.88717i	−0.344477	+	0.474132i	0.601265	+	0.799049i	$0.294663\pi$
$212$	3.47932	−	1.65985i	0.238961	−	0.113999i
$213$	−4.87912	−	3.86060i	−0.334312	−	0.264524i
$214$	−10.4392	−	9.15428i	−0.713608	−	0.625774i
$215$	14.5634	+	9.91028i	0.993219	+	0.675875i
$216$	−5.69585	+	13.5483i	−0.387553	+	0.921847i
$217$	23.9482	+	7.78125i	1.62571	+	0.528226i
$218$	0.285535	−	3.10865i	0.0193389	−	0.210544i
$219$	0.901750	−	21.9474i	0.0609346	−	1.48307i
$220$	−7.37068	+	3.79926i	−0.496931	+	0.256146i
$221$	−3.63917	+	1.18244i	−0.244797	+	0.0795394i
$222$	18.2357	−	9.85968i	1.22390	−	0.661738i
$223$	1.64427	+	1.19463i	0.110109	+	0.0799987i	0.641477	−	0.767142i	$-0.278322\pi$
$223$	1.64427	+	1.19463i	0.110109	+	0.0799987i	−0.531368	+	0.847141i	$0.678322\pi$
$224$	7.01455	−	14.2304i	0.468679	−	0.950806i
$225$	14.9968	+	0.307680i	0.999790	+	0.0205120i
$226$	−2.01424	+	21.9292i	−0.133985	+	1.45871i
$227$	−15.1887	+	20.9054i	−1.00811	+	1.38754i	−0.0878937	+	0.996130i	$0.528014\pi$
$227$	−15.1887	+	20.9054i	−1.00811	+	1.38754i	−0.920215	+	0.391413i	$0.871986\pi$
$228$	−10.1827	−	23.8139i	−0.674364	−	1.57712i
$229$	−0.894624	−	2.75337i	−0.0591184	−	0.181948i	0.917136	−	0.398574i	$-0.130495\pi$
$229$	−0.894624	−	2.75337i	−0.0591184	−	0.181948i	−0.976255	+	0.216626i	$0.930495\pi$
$230$	−2.43767	+	6.19382i	−0.160736	+	0.408409i
$231$	8.99961	+	0.369765i	0.592131	+	0.0243288i
$232$	10.2169	+	2.88030i	0.670770	+	0.189101i
$233$	−5.73497	+	17.6504i	−0.375710	+	1.15632i	0.567288	+	0.823520i	$0.307993\pi$
$233$	−5.73497	+	17.6504i	−0.375710	+	1.15632i	−0.942998	+	0.332798i	$0.892007\pi$
$234$	6.80857	−	12.8301i	0.445090	−	0.838732i
$235$	−2.25681	−	0.657154i	−0.147218	−	0.0428680i
$236$	11.7659	+	12.3969i	0.765893	+	0.806970i
$237$	5.38211	−	6.80204i	0.349605	−	0.441840i
$238$	−2.26676	−	3.80978i	−0.146932	−	0.246952i
$239$	7.59666	+	5.51929i	0.491387	+	0.357013i	0.805717	−	0.592300i	$-0.201780\pi$
$239$	7.59666	+	5.51929i	0.491387	+	0.357013i	−0.314331	+	0.949314i	$0.601780\pi$
$240$	−15.0039	+	3.85801i	−0.968495	+	0.249034i
$241$	16.9165	−	12.2905i	1.08969	−	0.791704i	0.110340	−	0.993894i	$-0.464806\pi$
$241$	16.9165	−	12.2905i	1.08969	−	0.791704i	0.979346	+	0.202190i	$0.0648059\pi$
$242$	−9.82588	−	4.22113i	−0.631631	−	0.271344i
$243$	−15.2610	−	3.17816i	−0.978996	−	0.203879i
$244$	−0.861265	+	1.58652i	−0.0551368	+	0.101566i
$245$	1.60063	+	1.08921i	0.102261	+	0.0695873i
$246$	−13.9828	+	7.56023i	−0.891511	+	0.482022i
$247$	7.90966	+	24.3434i	0.503280	+	1.54894i
$248$	15.7237	+	19.9411i	0.998453	+	1.26626i
$249$	−10.2524	+	2.87164i	−0.649721	+	0.181983i
$250$	9.30427	+	12.7840i	0.588453	+	0.808531i
$251$	8.22153			0.518938			0.259469	−	0.965751i	$-0.416452\pi$
$251$	8.22153			0.518938			0.259469	+	0.965751i	$0.416452\pi$
$252$	16.2389	+	4.41247i	1.02295	+	0.277960i
$253$	3.71187	−	1.20606i	0.233363	−	0.0758244i
$254$	3.34251	−	0.756455i	0.209728	−	0.0474642i
$255$	−1.37983	+	4.10301i	−0.0864084	+	0.256940i
$256$	13.8542	−	8.00387i	0.865886	−	0.500242i
$257$	11.5351			0.719538			0.359769	−	0.933041i	$-0.382855\pi$
$257$	11.5351			0.719538			0.359769	+	0.933041i	$0.382855\pi$
$258$	2.55239	−	19.1273i	0.158905	−	1.19081i
$259$	−13.9516	−	19.2028i	−0.866913	−	1.19320i
$260$	15.1105	−	2.46608i	0.937115	−	0.152940i
$261$	−0.923635	+	11.2211i	−0.0571716	+	0.694566i
$262$	−2.99470	−	5.03324i	−0.185013	−	0.310955i
$263$	10.6114	+	14.6054i	0.654330	+	0.900608i	0.999277	−	0.0380143i	$-0.0121033\pi$
$263$	10.6114	+	14.6054i	0.654330	+	0.900608i	−0.344947	+	0.938622i	$0.612103\pi$
$264$	7.33983	+	5.35167i	0.451736	+	0.329372i
$265$	−1.20497	+	4.13811i	−0.0740205	+	0.254202i
$266$	−25.4847	+	15.1630i	−1.56257	+	0.929704i
$267$	1.20492	−	29.3263i	0.0737401	−	1.79474i
$268$	2.94476	+	0.545567i	0.179880	+	0.0333258i
$269$	−6.82911	−	2.21891i	−0.416378	−	0.135289i	0.0933334	−	0.995635i	$-0.470248\pi$
$269$	−6.82911	−	2.21891i	−0.416378	−	0.135289i	−0.509711	+	0.860346i	$0.670248\pi$
$270$	−7.06335	−	14.8361i	−0.429862	−	0.902895i
$271$	−9.40434	+	3.05565i	−0.571273	+	0.185618i	−0.580387	−	0.814341i	$-0.697099\pi$
$271$	−9.40434	+	3.05565i	−0.571273	+	0.185618i	0.00911443	+	0.999958i	$0.497099\pi$
$272$	0.233359	−	4.46469i	0.0141495	−	0.270711i
$273$	−15.5923	−	5.78409i	−0.943687	−	0.350069i
$274$	0.418531	−	4.55659i	0.0252844	−	0.275274i
$275$	2.31654	−	8.97693i	0.139693	−	0.541329i
$276$	7.26211	−	0.654670i	0.437128	−	0.0394065i
$277$	1.96968	−	2.71103i	0.118347	−	0.162890i	−0.745734	−	0.666244i	$-0.767901\pi$
$277$	1.96968	−	2.71103i	0.118347	−	0.162890i	0.864080	+	0.503354i	$0.167901\pi$
$278$	2.20099	+	9.72541i	0.132007	+	0.583291i
$279$	−17.5662	+	20.4186i	−1.05166	+	1.22243i
$280$	6.65080	+	16.4439i	0.397461	+	0.982709i
$281$	−12.3397	−	4.00940i	−0.736122	−	0.239181i	−0.0831232	−	0.996539i	$-0.526490\pi$
$281$	−12.3397	−	4.00940i	−0.736122	−	0.239181i	−0.652999	+	0.757359i	$0.726490\pi$
$282$	0.464782	+	2.53259i	0.0276774	+	0.150814i
$283$	−0.0785686	+	0.241809i	−0.00467042	+	0.0143741i	−0.953365	−	0.301821i	$-0.902405\pi$
$283$	−0.0785686	+	0.241809i	−0.00467042	+	0.0143741i	0.948694	+	0.316195i	$0.102405\pi$
$284$	−6.48418	+	3.09335i	−0.384765	+	0.183557i
$285$	27.4462	+	9.23008i	1.62577	+	0.546743i
$286$	−6.74968	−	5.91889i	−0.399117	−	0.349992i
$287$	10.6979	+	14.7244i	0.631475	+	0.869151i
$288$	11.1459	+	12.7973i	0.656776	+	0.754086i
$289$	12.7426	+	9.25806i	0.749567	+	0.544592i
$290$	−10.0075	+	6.37968i	−0.587661	+	0.374628i
$291$	−18.9573	+	23.9588i	−1.11130	+	1.40449i
$292$	−22.2912	−	12.1011i	−1.30450	−	0.708166i
$293$	10.3849			0.606691			0.303345	−	0.952881i	$-0.401896\pi$
$293$	10.3849			0.606691			0.303345	+	0.952881i	$0.401896\pi$
$294$	0.280527	−	2.10223i	0.0163607	−	0.122605i
$295$	−19.0998	+	0.588594i	−1.11203	+	0.0342693i
$296$	−0.942287	−	23.9190i	−0.0547693	−	1.39026i
$297$	−4.08069	+	8.72786i	−0.236786	+	0.506442i
$298$	−21.3802	−	18.7486i	−1.23852	−	1.08608i
$299$	−7.20614			−0.416742
$300$	7.94903	−	15.3887i	0.458937	−	0.888469i
$301$	−22.0945			−1.27350
$302$	8.45076	+	7.41059i	0.486286	+	0.426432i
$303$	−6.54380	−	9.83163i	−0.375932	−	0.564812i
$304$	−29.8655	−	1.56101i	−1.71291	−	0.0895298i
$305$	−0.682517	−	1.89939i	−0.0390808	−	0.108759i
$306$	4.69529	−	0.663762i	0.268412	−	0.0379447i
$307$	17.0538			0.973314			0.486657	−	0.873593i	$-0.338216\pi$
$307$	17.0538			0.973314			0.486657	+	0.873593i	$0.338216\pi$
$308$	4.96211	−	9.14059i	0.282743	−	0.520834i
$309$	18.3816	+	14.5444i	1.04569	+	0.827405i
$310$	−28.3395	−	1.72482i	−1.60957	−	0.0979632i
$311$	19.8576	+	14.4274i	1.12602	+	0.818102i	0.985111	−	0.171920i	$-0.0549970\pi$
$311$	19.8576	+	14.4274i	1.12602	+	0.818102i	0.140910	+	0.990022i	$0.454997\pi$
$312$	−9.83526	−	13.5853i	−0.556812	−	0.769114i
$313$	5.67018	+	7.80433i	0.320497	+	0.441127i	0.938619	−	0.344956i	$-0.112106\pi$
$313$	5.67018	+	7.80433i	0.320497	+	0.441127i	−0.618122	+	0.786083i	$0.712106\pi$
$314$	−22.4278	−	19.6672i	−1.26567	−	1.10989i
$315$	−15.7680	+	10.2632i	−0.888426	+	0.578265i
$316$	−4.31247	−	9.03967i	−0.242596	−	0.508521i
$317$	−5.41442	+	16.6639i	−0.304104	+	0.935936i	0.675906	+	0.736988i	$0.263753\pi$
$317$	−5.41442	+	16.6639i	−0.304104	+	0.935936i	−0.980010	+	0.198948i	$0.936247\pi$
$318$	4.64379	−	0.852230i	0.260411	−	0.0477907i
$319$	6.61824	+	2.15040i	0.370550	+	0.120399i
$320$	−3.63457	+	17.5154i	−0.203179	+	0.979142i
$321$	−9.42203	−	14.1560i	−0.525887	−	0.790109i
$322$	−1.84281	−	8.14275i	−0.102696	−	0.453778i
$323$	−4.91184	+	6.76057i	−0.273302	+	0.376168i
$324$	−11.0589	+	14.2021i	−0.614383	+	0.789008i
$325$	−9.18966	+	14.4417i	−0.509751	+	0.801081i
$326$	0.673790	−	7.33561i	0.0373178	−	0.406282i
$327$	1.32975	−	3.58463i	0.0735354	−	0.198231i
$328$	0.722529	+	18.3406i	0.0398950	+	1.01269i
$329$	2.80389	−	0.911040i	0.154584	−	0.0502273i
$330$	−9.92785	+	2.14001i	−0.546510	+	0.117804i
$331$	24.1449	+	7.84515i	1.32712	+	0.431208i	0.884935	−	0.465714i	$-0.154202\pi$
$331$	24.1449	+	7.84515i	1.32712	+	0.431208i	0.442188	+	0.896922i	$0.354202\pi$
$332$	−2.23958	+	12.0884i	−0.122913	+	0.663436i
$333$	24.7092	−	5.83847i	1.35405	−	0.319946i
$334$	−6.41098	+	3.81443i	−0.350793	+	0.208717i
$335$	−2.64698	+	2.05063i	−0.144620	+	0.112038i
$336$	12.8358	−	14.5877i	0.700252	−	0.795825i
$337$	6.24918	+	8.60126i	0.340415	+	0.468540i	0.944562	−	0.328332i	$-0.106486\pi$
$337$	6.24918	+	8.60126i	0.340415	+	0.468540i	−0.604148	+	0.796872i	$0.706486\pi$
$338$	−0.925243	−	1.55507i	−0.0503266	−	0.0845846i
$339$	−9.38042	+	25.2870i	−0.509475	+	1.37340i
$340$	3.55102	+	3.51782i	0.192581	+	0.190781i
$341$	9.78520	+	13.4682i	0.529898	+	0.729343i
$342$	−4.44009	−	31.4081i	−0.240093	−	1.69836i
$343$	17.2039			0.928925
$344$	−18.5282	−	12.3773i	−0.998973	−	0.667341i
$345$	−4.85914	+	6.54578i	−0.261607	+	0.352413i
$346$	22.3974	−	5.06883i	1.20409	−	0.272502i
$347$	30.8425	−	10.0213i	1.65571	−	0.537974i	0.675746	−	0.737135i	$-0.263822\pi$
$347$	30.8425	−	10.0213i	1.65571	−	0.537974i	0.979967	+	0.199161i	$0.0638217\pi$
$348$	11.1615	+	6.66647i	0.598318	+	0.357360i
$349$	−3.26785			−0.174924			−0.0874621	−	0.996168i	$-0.527876\pi$
$349$	−3.26785			−0.174924			−0.0874621	+	0.996168i	$0.527876\pi$
$350$	−18.6688	−	6.69093i	−0.997889	−	0.357645i
$351$	12.1454	−	12.9978i	0.648273	−	0.693771i
$352$	9.28173	−	4.88543i	0.494718	−	0.260394i
$353$	−5.15615	−	15.8690i	−0.274434	−	0.844621i	−0.989369	−	0.145430i	$-0.953544\pi$
$353$	−5.15615	−	15.8690i	−0.274434	−	0.844621i	0.714935	−	0.699191i	$-0.246456\pi$
$354$	9.95586	+	18.4136i	0.529148	+	0.978670i
$355$	2.24562	−	7.71193i	0.119185	−	0.409307i
$356$	−29.7857	−	16.1696i	−1.57864	−	0.856987i
$357$	−1.46440	−	5.22825i	−0.0775042	−	0.276708i
$358$	−12.5158	−	5.37668i	−0.661478	−	0.284166i
$359$	7.34053	−	5.33320i	0.387418	−	0.281476i	−0.376979	−	0.926222i	$-0.623037\pi$
$359$	7.34053	−	5.33320i	0.387418	−	0.281476i	0.764397	+	0.644746i	$0.223037\pi$
$360$	−18.9723	−	0.226651i	−0.999929	−	0.0119455i
$361$	29.8520	+	21.6888i	1.57116	+	1.14151i
$362$	8.55106	+	14.3719i	0.449434	+	0.755370i
$363$	−10.2713	−	8.12712i	−0.539101	−	0.426563i
$364$	−13.9286	+	13.2196i	−0.730059	+	0.692897i
$365$	26.6873	−	9.58965i	1.39687	−	0.501945i
$366$	−1.52472	+	1.60107i	−0.0796986	+	0.0836895i
$367$	−3.80297	+	11.7043i	−0.198513	+	0.610961i	0.801404	+	0.598123i	$0.204087\pi$
$367$	−3.80297	+	11.7043i	−0.198513	+	0.610961i	−0.999918	+	0.0128379i	$0.995913\pi$
$368$	3.01621	−	7.86076i	0.157231	−	0.409771i
$369$	−18.9465	+	4.47683i	−0.986318	+	0.233055i
$370$	20.6560	+	17.0172i	1.07386	+	0.884681i
$371$	−1.67050	−	5.14126i	−0.0867278	−	0.266921i
$372$	12.2279	+	28.5971i	0.633989	+	1.48269i
$373$	−0.909305	+	1.25155i	−0.0470820	+	0.0648029i	−0.831909	−	0.554912i	$-0.812752\pi$
$373$	−0.909305	+	1.25155i	−0.0470820	+	0.0648029i	0.784827	+	0.619715i	$0.212752\pi$
$374$	0.268077	−	2.91857i	0.0138619	−	0.150916i
$375$	6.92164	+	18.0857i	0.357432	+	0.933939i
$376$	2.86168	+	0.806753i	0.147580	+	0.0416051i
$377$	−10.3946	−	7.55215i	−0.535351	−	0.388955i
$378$	17.7931	+	10.4001i	0.915177	+	0.534922i
$379$	−6.13362	+	1.99293i	−0.315063	+	0.102370i	−0.462280	−	0.886734i	$-0.652968\pi$
$379$	−6.13362	+	1.99293i	−0.315063	+	0.102370i	0.147217	+	0.989104i	$0.452968\pi$
$380$	23.5317	−	23.7538i	1.20715	−	1.21854i
$381$	4.19371	+	0.172306i	0.214850	+	0.00882752i
$382$	−2.62200	+	28.5459i	−0.134153	+	1.46054i
$383$	−13.7803	−	4.47749i	−0.704140	−	0.228789i	−0.0650064	−	0.997885i	$-0.520707\pi$
$383$	−13.7803	−	4.47749i	−0.704140	−	0.228789i	−0.639133	+	0.769096i	$0.720707\pi$
$384$	18.9360	−	5.04246i	0.966326	−	0.257322i
$385$	3.93227	+	10.9432i	0.200407	+	0.557717i
$386$	8.32588	+	7.30109i	0.423776	+	0.371616i
$387$	9.12252	−	21.8021i	0.463724	−	1.10827i
$388$	15.1898	+	31.8403i	0.771145	+	1.61645i
$389$	−12.9514	+	17.8261i	−0.656663	+	0.903819i	−0.999365	−	0.0356248i	$-0.988658\pi$
$389$	−12.9514	+	17.8261i	−0.656663	+	0.903819i	0.342702	+	0.939444i	$0.388658\pi$
$390$	18.6542	+	1.90656i	0.944593	+	0.0965423i
$391$	−1.38284	−	1.90331i	−0.0699332	−	0.0962548i
$392$	−2.03639	−	1.36036i	−0.102853	−	0.0687086i
$393$	−1.93467	−	6.90722i	−0.0975911	−	0.348423i
$394$	−19.3221	−	8.30063i	−0.973434	−	0.418180i
$395$	10.7513	+	3.13064i	0.540956	+	0.157520i
$396$	6.97086	+	8.67049i	0.350299	+	0.435708i
$397$	−17.5994	+	5.71840i	−0.883290	+	0.286998i	−0.715323	−	0.698794i	$-0.753720\pi$
$397$	−17.5994	+	5.71840i	−0.883290	+	0.286998i	−0.167967	+	0.985793i	$0.553720\pi$
$398$	−15.4764	−	13.5715i	−0.775763	−	0.680278i
$399$	−34.9732	+	9.79577i	−1.75085	+	0.490402i
$400$	−11.9072	−	16.0692i	−0.595359	−	0.803460i
$401$		−	17.2591i		−	0.861877i	−0.902381	−	0.430939i	$-0.858183\pi$
$401$		−	17.2591i		−	0.861877i	0.902381	−	0.430939i	$-0.141817\pi$
$402$	3.30786	+	1.58492i	0.164981	+	0.0790484i
$403$	−9.49838	−	29.2330i	−0.473148	−	1.45620i
$404$	−13.5205	+	1.78097i	−0.672671	+	0.0886066i
$405$	−3.61698	−	19.7969i	−0.179729	−	0.983716i
$406$	5.87553	−	13.6770i	0.291597	−	0.678777i
$407$		−	15.6925i		−	0.777846i
$408$	1.70084	−	5.20471i	0.0842039	−	0.257671i
$409$	−5.74671	+	4.17523i	−0.284156	+	0.206452i	−0.720728	−	0.693218i	$-0.756192\pi$
$409$	−5.74671	+	4.17523i	−0.284156	+	0.206452i	0.436572	+	0.899669i	$0.356192\pi$
$410$	−15.8387	−	13.0485i	−0.782217	−	0.644417i
$411$	1.94912	−	5.25428i	0.0961430	−	0.259174i
$412$	24.4285	−	11.6539i	1.20351	−	0.574147i
$413$	19.3901	−	14.0877i	0.954125	−	0.693212i
$414$	8.79588	+	1.54360i	0.432294	+	0.0758638i
$415$	−8.41792	−	10.8660i	−0.413220	−	0.533390i
$416$	−19.0861	+	3.28301i	−0.935771	+	0.160963i
$417$	−0.501344	+	12.2021i	−0.0245509	+	0.597538i
$418$	−19.5232	−	1.79324i	−0.954909	−	0.0877102i
$419$	0.662387	−	2.03862i	0.0323597	−	0.0995929i	−0.933572	−	0.358390i	$-0.883326\pi$
$419$	0.662387	−	2.03862i	0.0323597	−	0.0995929i	0.965932	+	0.258797i	$0.0833260\pi$
$420$	2.61605	+	21.5663i	0.127650	+	1.05233i
$421$	−4.44421	−	13.6779i	−0.216597	−	0.666618i	−0.999036	−	0.0438909i	$-0.986025\pi$
$421$	−4.44421	−	13.6779i	−0.216597	−	0.666618i	0.782439	−	0.622727i	$-0.213975\pi$
$422$	2.65743	+	11.7423i	0.129362	+	0.571604i
$423$	−0.258704	+	3.14295i	−0.0125786	+	0.152815i
$424$	1.47927	−	5.24721i	0.0718399	−	0.254827i
$425$	−5.57787	+	0.344111i	−0.270566	+	0.0166918i
$426$	−8.65434	+	1.58825i	−0.419304	+	0.0769508i
$427$	2.04800	+	1.48796i	0.0991097	+	0.0720074i
$428$	−19.4674	+	2.56431i	−0.940992	+	0.123951i
$429$	−6.09202	−	9.15285i	−0.294125	−	0.441904i
$430$	24.1168	−	6.24471i	1.16301	−	0.301146i
$431$	5.45008	−	16.7736i	0.262521	−	0.807957i	−0.729733	−	0.683732i	$-0.760356\pi$
$431$	5.45008	−	16.7736i	0.262521	−	0.807957i	0.992254	−	0.124225i	$-0.0396444\pi$
$432$	9.09496	+	18.6891i	0.437581	+	0.899179i
$433$	−2.32032	−	0.753918i	−0.111508	−	0.0362310i	0.252732	−	0.967536i	$-0.418671\pi$
$433$	−2.32032	−	0.753918i	−0.111508	−	0.0362310i	−0.364239	+	0.931305i	$0.618671\pi$
$434$	30.6035	−	18.2086i	1.46902	−	0.874042i
$435$	−13.8693	+	4.34964i	−0.664980	+	0.208549i
$436$	−3.03917	−	3.20217i	−0.145550	−	0.153356i
$437$	−12.7318	+	9.25020i	−0.609045	+	0.442497i
$438$	−22.4958	−	21.4230i	−1.07489	−	1.02363i
$439$	19.5188	−	26.8653i	0.931579	−	1.28221i	−0.0276608	−	0.999617i	$-0.508806\pi$
$439$	19.5188	−	26.8653i	0.931579	−	1.28221i	0.959240	−	0.282592i	$-0.0911942\pi$
$440$	−2.83282	+	11.3797i	−0.135050	+	0.542506i
$441$	1.00263	−	2.39622i	0.0477444	−	0.114106i
$442$	−2.13595	+	4.97204i	−0.101597	+	0.236496i
$443$		−	25.0316i		−	1.18929i	−0.803990	−	0.594643i	$-0.797293\pi$
$443$		−	25.0316i		−	1.18929i	0.803990	−	0.594643i	$-0.202707\pi$
$444$	6.51955	−	28.5833i	0.309404	−	1.35650i
$445$	35.6596	−	12.8137i	1.69043	−	0.607429i
$446$	2.80340	−	0.634448i	0.132745	−	0.0300420i
$447$	−19.2969	−	28.9924i	−0.912714	−	1.37129i
$448$	−8.59056	−	20.7272i	−0.405866	−	0.979267i
$449$			32.0071i			1.51051i	0.655433	+	0.755253i	$0.272486\pi$
$449$			32.0071i			1.51051i	−0.655433	+	0.755253i	$0.727514\pi$
$450$	14.3105	−	15.6592i	0.674603	−	0.738181i
$451$			12.0327i			0.566598i
$452$	21.4391	+	22.5890i	1.00841	+	1.06250i
$453$	7.62735	+	11.4596i	0.358364	+	0.538418i
$454$	8.06642	+	35.6427i	0.378576	+	1.67279i
$455$	−0.661319	−	21.4597i	−0.0310031	−	1.00605i
$456$	−34.8157	−	11.3774i	−1.63040	−	0.532794i
$457$		−	27.8514i		−	1.30283i	−0.758721	−	0.651416i	$-0.774175\pi$
$457$		−	27.8514i		−	1.30283i	0.758721	−	0.651416i	$-0.225825\pi$
$458$	−3.76181	−	1.61605i	−0.175778	−	0.0755128i
$459$	5.76370	+	0.713651i	0.269026	+	0.0333104i
$460$	4.31292	+	8.36720i	0.201091	+	0.390123i
$461$	2.72769	−	3.75434i	0.127041	−	0.174857i	−0.740758	−	0.671771i	$-0.765534\pi$
$461$	2.72769	−	3.75434i	0.127041	−	0.174857i	0.867800	+	0.496914i	$0.165534\pi$
$462$	8.78458	−	9.22446i	0.408695	−	0.429161i
$463$	12.0343	−	8.74343i	0.559281	−	0.406341i	−0.271915	−	0.962321i	$-0.587657\pi$
$463$	12.0343	−	8.74343i	0.559281	−	0.406341i	0.831196	+	0.555980i	$0.187657\pi$
$464$	12.5890	−	8.17789i	0.584429	−	0.379649i
$465$	−32.9590	−	11.0840i	−1.52844	−	0.514009i
$466$	13.4202	+	22.5556i	0.621679	+	1.04487i
$467$	−6.19271	−	2.01213i	−0.286564	−	0.0931104i	0.162208	−	0.986757i	$-0.448139\pi$
$467$	−6.19271	−	2.01213i	−0.286564	−	0.0931104i	−0.448772	+	0.893646i	$0.648139\pi$
$468$	−7.29377	−	19.2026i	−0.337155	−	0.887639i
$469$	1.29779	−	3.99418i	0.0599262	−	0.184434i
$470$	−2.80304	+	1.78691i	−0.129295	+	0.0824240i
$471$	−20.2425	−	30.4130i	−0.932725	−	1.40136i
$472$	24.1523	−	0.951478i	1.11170	−	0.0437953i
$473$	−11.8175	−	8.58592i	−0.543369	−	0.394781i
$474$	−2.21419	−	12.0651i	−0.101701	−	0.554169i
$475$	2.30185	+	37.3119i	0.105616	+	1.71199i
$476$	−6.16450	−	1.14208i	−0.282549	−	0.0523470i
$477$	5.76296	+	0.474364i	0.263868	+	0.0217196i
$478$	12.9519	−	2.93119i	0.592406	−	0.134070i
$479$	5.73304	+	17.6445i	0.261949	+	0.806197i	0.992381	+	0.123211i	$0.0393191\pi$
$479$	5.73304	+	17.6445i	0.261949	+	0.806197i	−0.730431	+	0.682986i	$0.760681\pi$
$480$	−9.88767	+	19.5508i	−0.451309	+	0.892368i
$481$	−8.95343	+	27.5558i	−0.408241	+	1.25644i
$482$	2.70478	−	29.4471i	0.123199	−	1.34128i
$483$	0.419758	−	10.2164i	0.0190997	−	0.464861i
$484$	−13.6501	+	6.51195i	−0.620461	+	0.295998i
$485$	−37.8692	−	11.0270i	−1.71955	−	0.500712i
$486$	−17.6090	+	13.2636i	−0.798760	+	0.601649i
$487$	−15.6066	+	11.3389i	−0.707203	+	0.513813i	−0.882270	−	0.470744i	$-0.843986\pi$
$487$	−15.6066	+	11.3389i	−0.707203	+	0.513813i	0.175067	+	0.984556i	$0.443986\pi$
$488$	0.883875	+	2.39508i	0.0400111	+	0.108420i
$489$	3.13787	−	8.45882i	0.141899	−	0.382521i
$490$	2.65061	−	0.686340i	0.119742	−	0.0310057i
$491$	4.69454	−	3.41078i	0.211862	−	0.153926i	−0.476794	−	0.879015i	$-0.658201\pi$
$491$	4.69454	−	3.41078i	0.211862	−	0.153926i	0.688656	+	0.725089i	$0.258201\pi$
$492$	−4.99908	+	21.9171i	−0.225376	+	0.988101i
$493$		−	4.19471i		−	0.188920i
$494$	33.2593	+	14.2880i	1.49641	+	0.642846i
$495$	−12.4220	−	0.638062i	−0.558327	−	0.0286787i
$496$	35.8643	+	1.87455i	1.61035	+	0.0841696i
$497$	3.11319	+	9.58142i	0.139646	+	0.429786i
$498$	−6.50615	+	13.5789i	−0.291548	+	0.608486i
$499$		−	20.7222i		−	0.927654i	−0.885926	−	0.463827i	$-0.846476\pi$
$499$		−	20.7222i		−	0.927654i	0.885926	−	0.463827i	$-0.153524\pi$
$500$	22.2686	+	2.02686i	0.995883	+	0.0906441i
$501$	−8.79792	+	2.46424i	−0.393062	+	0.110094i
$502$	7.66591	−	8.74191i	0.342146	−	0.390170i
$503$	33.8991	−	11.0145i	1.51149	−	0.491111i	0.568142	−	0.822931i	$-0.307662\pi$
$503$	33.8991	−	11.0145i	1.51149	−	0.491111i	0.943343	+	0.331819i	$0.107662\pi$
$504$	19.8332	−	13.1524i	0.883440	−	0.585855i
$505$	8.57775	−	12.6053i	0.381705	−	0.560927i
$506$	2.17862	−	5.07137i	0.0968515	−	0.225450i
$507$	−0.597735	−	2.13405i	−0.0265463	−	0.0947767i
$508$	2.31228	−	4.25941i	0.102591	−	0.188981i
$509$	−2.25059	−	3.09767i	−0.0997557	−	0.137302i	0.756221	−	0.654316i	$-0.227043\pi$
$509$	−2.25059	−	3.09767i	−0.0997557	−	0.137302i	−0.855977	+	0.517014i	$0.827043\pi$
$510$	3.07613	+	5.29289i	0.136213	+	0.234373i
$511$	−20.9065	+	28.7753i	−0.924847	+	1.27294i
$512$	4.40742	−	22.1940i	0.194782	−	0.980847i
$513$	4.77381	−	38.5550i	0.210769	−	1.70224i
$514$	10.7555	−	12.2652i	0.474406	−	0.540994i
$515$	−8.46015	+	29.0540i	−0.372799	+	1.28027i
$516$	−17.9581	−	20.5486i	−0.790560	−	0.904602i
$517$	1.85373	+	0.602312i	0.0815268	+	0.0264897i
$518$	−33.4270	−	3.07033i	−1.46870	−	0.134903i
$519$	28.1010	+	1.15458i	1.23350	+	0.0506806i
$520$	11.4672	−	18.3664i	0.502869	−	0.805418i
$521$	27.7287	−	9.00962i	1.21482	−	0.394718i	0.369626	−	0.929181i	$-0.379486\pi$
$521$	27.7287	−	9.00962i	1.21482	−	0.394718i	0.845192	+	0.534462i	$0.179486\pi$
$522$	11.0701	+	11.4448i	0.484524	+	0.500926i
$523$	5.18001	+	3.76350i	0.226506	+	0.164566i	0.695250	−	0.718768i	$-0.255293\pi$
$523$	5.18001	+	3.76350i	0.226506	+	0.164566i	−0.468744	+	0.883334i	$0.655293\pi$
$524$	−8.14413	−	1.50884i	−0.355778	−	0.0659139i
$525$	−19.9391	−	13.8697i	−0.870215	−	0.605324i
$526$	25.4242	+	2.33526i	1.10855	+	0.101822i
$527$	5.89843	−	8.11849i	0.256940	−	0.353647i
$528$	12.5342	−	2.81441i	0.545481	−	0.122482i
$529$	5.73827	+	17.6606i	0.249490	+	0.767851i
$530$	3.27650	+	5.13969i	0.142322	+	0.223254i
$531$	5.89542	+	24.9502i	0.255839	+	1.08275i
$532$	−7.63967	+	41.2360i	−0.331222	+	1.78781i
$533$	6.86533	−	21.1293i	0.297370	−	0.915212i
$534$	−30.0590	−	28.6255i	−1.30078	−	1.23875i
$535$	12.3506	−	18.1496i	0.533963	−	0.784674i
$536$	3.32585	−	2.62245i	0.143655	−	0.113273i
$537$	−13.0831	−	10.3520i	−0.564575	−	0.446720i
$538$	−8.72694	+	5.19240i	−0.376245	+	0.223860i
$539$	−1.29883	−	0.943656i	−0.0559446	−	0.0406461i
$540$	−22.3611	−	6.32302i	−0.962269	−	0.272099i
$541$	18.7149	−	13.5972i	0.804617	−	0.584589i	−0.107648	−	0.994189i	$-0.534332\pi$
$541$	18.7149	−	13.5972i	0.804617	−	0.584589i	0.912265	+	0.409600i	$0.134332\pi$
$542$	−5.51972	+	12.8487i	−0.237092	+	0.551900i
$543$	5.52424	+	19.7228i	0.237068	+	0.846388i
$544$	−4.52969	−	4.41109i	−0.194209	−	0.189124i
$545$	4.93355	−	0.152036i	0.211330	−	0.00651252i
$546$	−20.6887	+	11.1860i	−0.885395	+	0.478716i
$547$	1.11144	+	3.42065i	0.0475216	+	0.146256i	0.972002	−	0.234974i	$-0.0755005\pi$
$547$	1.11144	+	3.42065i	0.0475216	+	0.146256i	−0.924480	+	0.381230i	$0.875500\pi$
$548$	−4.45475	−	4.69367i	−0.190297	−	0.200504i
$549$	−2.31386	+	1.40654i	−0.0987533	+	0.0600298i
$550$	−7.38513	−	10.8334i	−0.314903	−	0.461938i
$551$	−28.0596			−1.19538
$552$	6.07522	−	8.33219i	0.258578	−	0.354641i
$553$	−13.3576	+	4.34014i	−0.568022	+	0.184561i
$554$	−1.04606	−	4.62217i	−0.0444428	−	0.196377i
$555$	18.9933	+	26.7140i	0.806221	+	1.13395i
$556$	12.3932	+	6.72785i	0.525590	+	0.285324i
$557$	−28.3445			−1.20100			−0.600498	−	0.799626i	$-0.705031\pi$
$557$	−28.3445			−1.20100			−0.600498	+	0.799626i	$0.705031\pi$
$558$	5.33192	+	37.7167i	0.225718	+	1.59668i
$559$	15.8527	+	21.8193i	0.670497	+	0.922860i
$560$	23.6860	+	8.26080i	1.00092	+	0.349083i
$561$	1.24845	−	3.36546i	0.0527094	−	0.142090i
$562$	−15.7689	+	9.38226i	−0.665171	+	0.395767i
$563$	18.1788	+	25.0210i	0.766146	+	1.05451i	0.996678	+	0.0814444i	$0.0259533\pi$
$563$	18.1788	+	25.0210i	0.766146	+	1.05451i	−0.230532	+	0.973065i	$0.574047\pi$
$564$	3.12626	+	1.86724i	0.131639	+	0.0786248i
$565$	−34.8026	+	1.07250i	−1.46416	+	0.0451206i
$566$	0.183856	+	0.309009i	0.00772803	+	0.0129886i
$567$	17.7199	+	17.9760i	0.744166	+	0.754923i
$568$	−2.75683	+	9.77889i	−0.115674	+	0.410313i
$569$	33.1483	+	10.7705i	1.38965	+	0.451524i	0.905829	−	0.423644i	$-0.139249\pi$
$569$	33.1483	+	10.7705i	1.38965	+	0.451524i	0.483819	+	0.875168i	$0.339249\pi$
$570$	35.4056	−	20.5771i	1.48298	−	0.861879i
$571$	−18.3366	+	5.95791i	−0.767361	+	0.249331i	−0.666435	−	0.745563i	$-0.732181\pi$
$571$	−18.3366	+	5.95791i	−0.767361	+	0.249331i	−0.100926	+	0.994894i	$0.532181\pi$
$572$	−12.5871	+	1.65801i	−0.526291	+	0.0693249i
$573$	−12.2108	+	32.9168i	−0.510112	+	1.37512i
$574$	25.6312	+	2.35428i	1.06983	+	0.0982656i
$575$	−10.1906	−	2.62974i	−0.424978	−	0.109668i
$576$	23.9999	+	0.0810777i	0.999994	+	0.00337824i
$577$	−19.8382	+	27.3049i	−0.825874	+	1.13672i	0.162803	+	0.986659i	$0.447946\pi$
$577$	−19.8382	+	27.3049i	−0.825874	+	1.13672i	−0.988677	+	0.150059i	$0.952054\pi$
$578$	21.7255	−	4.91678i	0.903662	−	0.204511i
$579$	7.51464	+	11.2902i	0.312298	+	0.469207i
$580$	−2.54770	+	16.5895i	−0.105787	+	0.688840i
$581$	16.3963	+	5.32747i	0.680232	+	0.221021i
$582$	7.79903	+	42.4968i	0.323280	+	1.76155i
$583$	1.10441	−	3.39902i	0.0457399	−	0.140773i
$584$	−33.6518	+	12.4188i	−1.39252	+	0.513895i
$585$	21.4488	+	8.20787i	0.886800	+	0.339354i
$586$	9.68305	−	11.0422i	0.400003	−	0.456148i
$587$	11.2432	+	15.4749i	0.464057	+	0.638719i	0.975344	−	0.220691i	$-0.0708312\pi$
$587$	11.2432	+	15.4749i	0.464057	+	0.638719i	−0.511287	+	0.859410i	$0.670831\pi$
$588$	−1.97373	−	2.25845i	−0.0813951	−	0.0931367i
$589$	−54.3068	−	39.4562i	−2.23767	−	1.62577i
$590$	−17.1832	+	20.8575i	−0.707420	+	0.858691i
$591$	−20.1979	−	15.9816i	−0.830831	−	0.657394i
$592$	−26.3115	−	21.3006i	−1.08140	−	0.875448i
$593$	8.54639			0.350958			0.175479	−	0.984483i	$-0.443853\pi$
$593$	8.54639			0.350958			0.175479	+	0.984483i	$0.443853\pi$
$594$	5.47538	+	12.4770i	0.224657	+	0.511938i
$595$	5.54113	−	4.29274i	0.227164	−	0.175985i
$596$	−39.8705	+	5.25188i	−1.63316	+	0.215126i
$597$	−13.9685	−	20.9867i	−0.571691	−	0.858928i
$598$	−6.71914	+	7.66225i	−0.274766	+	0.313333i
$599$	34.9700			1.42884			0.714419	−	0.699719i	$-0.246691\pi$
$599$	34.9700			1.42884			0.714419	+	0.699719i	$0.246691\pi$
$600$	−8.95093	−	22.8009i	−0.365420	−	0.930843i
$601$	−25.6951			−1.04813			−0.524063	−	0.851679i	$-0.675585\pi$
$601$	−25.6951			−1.04813			−0.524063	+	0.851679i	$0.675585\pi$
$602$	−20.6013	+	23.4929i	−0.839646	+	0.957501i
$603$	3.40549	+	2.92976i	0.138682	+	0.119309i
$604$	15.7593	−	2.07587i	0.641236	−	0.0844659i
$605$	4.72735	−	16.2347i	0.192194	−	0.660036i
$606$	−16.5555	−	2.20920i	−0.672520	−	0.0897427i
$607$	−33.7114			−1.36830			−0.684152	−	0.729340i	$-0.739827\pi$
$607$	−33.7114			−1.36830			−0.684152	+	0.729340i	$0.739827\pi$
$608$	−29.5070	+	30.3003i	−1.19667	+	1.22884i
$609$	11.3124	−	14.2969i	0.458402	−	0.579340i
$610$	−2.65600	−	1.04531i	−0.107538	−	0.0423234i
$611$	−2.91147	−	2.11531i	−0.117786	−	0.0855763i
$612$	3.67220	−	5.61138i	0.148440	−	0.226827i
$613$	13.7296	+	18.8972i	0.554535	+	0.763252i	0.990619	−	0.136654i	$-0.0436349\pi$
$613$	13.7296	+	18.8972i	0.554535	+	0.763252i	−0.436084	+	0.899906i	$0.643635\pi$
$614$	15.9013	−	18.1333i	0.641725	−	0.731799i
$615$	−14.5637	−	20.4838i	−0.587266	−	0.825987i
$616$	−5.09238	−	13.7990i	−0.205178	−	0.555979i
$617$	2.44863	−	7.53611i	0.0985782	−	0.303392i	−0.889591	−	0.456757i	$-0.849011\pi$
$617$	2.44863	−	7.53611i	0.0985782	−	0.303392i	0.988170	+	0.153365i	$0.0490109\pi$
$618$	32.6044	−	5.98357i	1.31154	−	0.240695i
$619$	−17.1069	−	5.55838i	−0.687586	−	0.223410i	−0.0556723	−	0.998449i	$-0.517730\pi$
$619$	−17.1069	−	5.55838i	−0.687586	−	0.223410i	−0.631913	+	0.775039i	$0.717730\pi$
$620$	−28.2582	+	28.5249i	−1.13488	+	1.14559i
$621$	9.90788	+	4.63241i	0.397590	+	0.185892i
$622$	33.8562	−	7.66211i	1.35751	−	0.307223i
$623$	−27.9353	+	38.4497i	−1.11920	+	1.54045i
$624$	−23.6157	−	2.20938i	−0.945385	−	0.0884460i
$625$	−18.2658	+	17.0692i	−0.730634	+	0.682770i
$626$	13.5853	+	1.24783i	0.542977	+	0.0498735i
$627$	−22.5125	−	8.35120i	−0.899062	−	0.333515i
$628$	−41.8242	+	5.50922i	−1.66897	+	0.219842i
$629$	−8.99630	+	2.92307i	−0.358706	+	0.116551i
$630$	−3.78960	+	26.3356i	−0.150981	+	1.04924i
$631$	−36.7577	−	11.9433i	−1.46330	−	0.475455i	−0.534224	−	0.845343i	$-0.679396\pi$
$631$	−36.7577	−	11.9433i	−1.46330	−	0.475455i	−0.929076	+	0.369888i	$0.879396\pi$
$632$	−13.6329	−	3.84332i	−0.542286	−	0.152879i
$633$	−0.605313	+	14.7325i	−0.0240590	+	0.585565i
$634$	12.6701	+	21.2948i	0.503194	+	0.845725i
$635$	1.83239	+	5.09940i	0.0727161	+	0.202363i
$636$	3.42379	−	5.73236i	0.135762	−	0.227303i
$637$	1.74233	+	2.39811i	0.0690335	+	0.0950165i
$638$	8.45747	−	5.03207i	0.334834	−	0.199221i
$639$	−10.7400	−	0.884041i	−0.424870	−	0.0349721i
$640$	15.2351	+	20.1963i	0.602221	+	0.798330i
$641$	22.8319	+	31.4254i	0.901806	+	1.24123i	0.969888	+	0.243550i	$0.0783120\pi$
$641$	22.8319	+	31.4254i	0.901806	+	1.24123i	−0.0680821	+	0.997680i	$0.521688\pi$
$642$	−23.8372	−	3.18090i	−0.940781	−	0.125540i
$643$	−17.5439			−0.691864			−0.345932	−	0.938260i	$-0.612437\pi$
$643$	−17.5439			−0.691864			−0.345932	+	0.938260i	$0.612437\pi$
$644$	−10.3764	−	5.63300i	−0.408888	−	0.221971i
$645$	30.5094	+	0.312937i	1.20131	+	0.0123219i
$646$	2.60859	+	11.5264i	0.102633	+	0.453501i
$647$	−17.8336	+	5.79448i	−0.701110	+	0.227804i	−0.637814	−	0.770190i	$-0.720161\pi$
$647$	−17.8336	+	5.79448i	−0.701110	+	0.227804i	−0.0632959	+	0.997995i	$0.520161\pi$
$648$	4.78954	+	25.0012i	0.188151	+	0.982140i
$649$	15.8455			0.621991
$650$	6.78715	+	23.2370i	0.266214	+	0.911431i
$651$	41.9978	−	11.7633i	1.64603	−	0.461041i
$652$	−7.17166	−	7.55630i	−0.280864	−	0.295928i
$653$	−1.36907	−	4.21357i	−0.0535759	−	0.164890i	0.920688	−	0.390299i	$-0.127628\pi$
$653$	−1.36907	−	4.21357i	−0.0535759	−	0.164890i	−0.974264	+	0.225409i	$0.927628\pi$
$654$	−2.57164	−	4.75630i	−0.100559	−	0.185986i
$655$	7.32058	−	5.67129i	0.286039	−	0.221595i
$656$	20.1752	+	16.3329i	0.787709	+	0.637692i
$657$	−19.7625	−	32.5108i	−0.771010	−	1.26837i
$658$	1.64570	−	3.83083i	0.0641560	−	0.149341i
$659$	−9.45627	+	6.87038i	−0.368364	+	0.267632i	−0.756532	−	0.653956i	$-0.773108\pi$
$659$	−9.45627	+	6.87038i	−0.368364	+	0.267632i	0.388168	+	0.921589i	$0.373108\pi$
$660$	−6.98145	+	12.5516i	−0.271753	+	0.488571i
$661$	−2.32708	−	1.69072i	−0.0905129	−	0.0657615i	0.541608	−	0.840631i	$-0.317816\pi$
$661$	−2.32708	−	1.69072i	−0.0905129	−	0.0657615i	−0.632121	+	0.774869i	$0.717816\pi$
$662$	30.8549	−	18.3582i	1.19921	−	0.713510i
$663$	−4.11244	+	5.19740i	−0.159714	+	0.201850i
$664$	10.7653	+	13.6528i	0.417774	+	0.529830i
$665$	−28.7153	−	37.0662i	−1.11353	−	1.43736i
$666$	16.8313	−	31.7170i	0.652199	−	1.22901i
$667$	2.44113	−	7.51303i	0.0945210	−	0.290906i
$668$	−1.92185	+	10.3734i	−0.0743586	+	0.401359i
$669$	3.51731	+	0.144515i	0.135987	+	0.00558728i
$670$	−0.287672	+	4.72656i	−0.0111137	+	0.182603i
$671$	0.517177	+	1.59171i	0.0199654	+	0.0614471i
$672$	−3.54267	−	27.2501i	−0.136661	−	1.05120i
$673$	17.4636	−	24.0366i	0.673172	−	0.926542i	−0.326655	−	0.945144i	$-0.605921\pi$
$673$	17.4636	−	24.0366i	0.673172	−	0.926542i	0.999827	+	0.0186014i	$0.00592136\pi$
$674$	14.9725	+	1.37525i	0.576720	+	0.0529728i
$675$	21.9188	−	13.9487i	0.843655	−	0.536886i
$676$	−2.51621	−	0.466170i	−0.0967773	−	0.0179296i
$677$	−22.0160	−	15.9956i	−0.846144	−	0.614760i	0.0779360	−	0.996958i	$-0.475167\pi$
$677$	−22.0160	−	15.9956i	−0.846144	−	0.614760i	−0.924080	+	0.382199i	$0.875167\pi$
$678$	18.1410	+	33.5522i	0.696701	+	1.28856i
$679$	47.0493	−	15.2872i	1.80559	−	0.586670i
$680$	7.05152	−	0.495701i	0.270413	−	0.0190093i
$681$	−1.83738	+	44.7194i	−0.0704085	+	1.71365i
$682$	23.4445	+	2.15343i	0.897738	+	0.0824589i
$683$	−8.56408	−	2.78264i	−0.327695	−	0.106475i	0.140549	−	0.990074i	$-0.455113\pi$
$683$	−8.56408	−	2.78264i	−0.327695	−	0.106475i	−0.468244	+	0.883599i	$0.655113\pi$
$684$	−37.5361	−	24.5644i	−1.43523	−	0.939243i
$685$	7.23149	−	0.222851i	0.276301	−	0.00851471i
$686$	16.0413	−	18.2928i	0.612458	−	0.698424i
$687$	−3.93232	−	3.11144i	−0.150027	−	0.118709i
$688$	−30.4368	+	8.16006i	−1.16039	+	0.311100i
$689$	−3.87866	+	5.33852i	−0.147765	+	0.203381i
$690$	2.42934	+	11.2701i	0.0924834	+	0.429046i
$691$	9.28419	+	12.7786i	0.353187	+	0.486121i	0.948235	−	0.317570i	$-0.102867\pi$
$691$	9.28419	+	12.7786i	0.353187	+	0.486121i	−0.595048	+	0.803690i	$0.702867\pi$
$692$	15.4941	−	28.5413i	0.588996	−	1.08498i
$693$	13.3311	−	8.10369i	0.506408	−	0.307834i
$694$	18.1025	−	42.1388i	0.687161	−	1.59957i
$695$	−14.8373	+	5.33154i	−0.562810	+	0.202237i
$696$	17.4956	−	5.65201i	0.663169	−	0.214239i
$697$	6.89820	−	2.24136i	0.261288	−	0.0848976i
$698$	−3.04701	+	3.47469i	−0.115331	+	0.131519i
$699$	8.66986	+	30.9534i	0.327924	+	1.17077i
$700$	−24.5216	+	13.6117i	−0.926828	+	0.514473i
$701$			38.6678i			1.46046i	0.683201	+	0.730231i	$0.260587\pi$
$701$			38.6678i			1.46046i	−0.683201	+	0.730231i	$0.739413\pi$
$702$	−2.49588	−	25.0335i	−0.0942010	−	0.944829i
$703$	19.5533	+	60.1787i	0.737465	+	2.26968i
$704$	3.45982	−	14.4245i	0.130397	−	0.543643i
$705$	−3.88469	+	1.21831i	−0.146306	+	0.0458841i
$706$	−21.6811	−	9.31404i	−0.815979	−	0.350538i
$707$			19.1237i			0.719220i
$708$	28.8621	+	6.58315i	1.08470	+	0.247410i
$709$	−26.7600	+	19.4423i	−1.00499	+	0.730171i	−0.963153	−	0.268953i	$-0.913322\pi$
$709$	−26.7600	+	19.4423i	−1.00499	+	0.730171i	−0.0418412	+	0.999124i	$0.513322\pi$
$710$	−6.10620	−	9.57850i	−0.229162	−	0.359475i
$711$	1.23245	−	14.9728i	0.0462206	−	0.561525i
$712$	−44.9658	+	16.5941i	−1.68516	+	0.621890i
$713$	15.2891	−	11.1082i	0.572581	−	0.416004i
$714$	−6.92460	−	3.31783i	−0.259147	−	0.124167i
$715$	7.98554	−	11.7350i	0.298642	−	0.438864i
$716$	−17.3869	+	8.29462i	−0.649780	+	0.309985i
$717$	16.2502	+	0.667670i	0.606875	+	0.0249346i
$718$	1.17368	−	12.7779i	0.0438012	−	0.476868i
$719$	−11.1272	+	34.2459i	−0.414973	+	1.27716i	0.497302	+	0.867578i	$0.334324\pi$
$719$	−11.1272	+	34.2459i	−0.414973	+	1.27716i	−0.912275	+	0.409579i	$0.865676\pi$
$720$	−17.9311	+	19.9618i	−0.668254	+	0.743933i
$721$	−11.7287	−	36.0971i	−0.436798	−	1.34433i
$722$	50.8962	−	11.5185i	1.89416	−	0.428674i
$723$	12.5963	−	33.9560i	0.468460	−	1.26284i
$724$	23.2547	+	4.30833i	0.864255	+	0.160118i
$725$	−11.9437	−	14.4733i	−0.443576	−	0.537523i
$726$	−18.2186	+	3.34349i	−0.676157	+	0.124089i
$727$	7.26585	+	5.27895i	0.269475	+	0.195785i	0.714314	−	0.699825i	$-0.246739\pi$
$727$	7.26585	+	5.27895i	0.269475	+	0.195785i	−0.444838	+	0.895611i	$0.646739\pi$
$728$	1.06904	+	27.1365i	0.0396213	+	1.00575i
$729$	−25.0545	+	10.0634i	−0.927945	+	0.372718i
$730$	14.6871	−	37.3180i	0.543593	−	1.38120i
$731$	−2.72093	+	8.37415i	−0.100637	+	0.309729i
$732$	0.280732	+	3.11410i	0.0103762	+	0.115100i
$733$	18.4725	+	6.00207i	0.682296	+	0.221692i	0.629601	−	0.776919i	$-0.283219\pi$
$733$	18.4725	+	6.00207i	0.682296	+	0.221692i	0.0526960	+	0.998611i	$0.483219\pi$
$734$	8.89919	+	14.9570i	0.328475	+	0.552073i
$735$	3.35321	+	0.0343941i	0.123685	+	0.00126865i
$736$	−5.54594	−	10.5366i	−0.204426	−	0.388386i
$737$	2.24627	−	1.63201i	0.0827426	−	0.0601160i
$738$	−12.9059	+	24.3200i	−0.475073	+	0.895233i
$739$	−5.22131	+	7.18652i	−0.192069	+	0.264360i	−0.894180	−	0.447707i	$-0.852241\pi$
$739$	−5.22131	+	7.18652i	−0.192069	+	0.264360i	0.702111	+	0.712067i	$0.252241\pi$
$740$	37.3543	−	6.09633i	1.37317	−	0.224106i
$741$	34.7669	+	27.5093i	1.27719	+	1.01058i
$742$	−7.02427	−	3.01757i	−0.257869	−	0.110779i
$743$		−	38.1796i		−	1.40067i	−0.713813	−	0.700337i	$-0.753033\pi$
$743$		−	38.1796i		−	1.40067i	0.713813	−	0.700337i	$-0.246967\pi$
$744$	41.8088	+	13.6626i	1.53278	+	0.500895i
$745$	25.2948	−	37.1715i	0.926731	−	1.36186i
$746$	0.482914	+	2.13383i	0.0176808	+	0.0781250i
$747$	−12.0268	+	13.9797i	−0.440037	+	0.511490i
$748$	−2.85334	−	3.00638i	−0.104329	−	0.109924i
$749$			27.5350i			1.00611i
$750$	25.6842	+	9.50366i	0.937856	+	0.347025i
$751$		−	25.5204i		−	0.931254i	−0.884981	−	0.465627i	$-0.845829\pi$
$751$		−	25.5204i		−	0.931254i	0.884981	−	0.465627i	$-0.154171\pi$
$752$	3.52610	−	2.29058i	0.128584	−	0.0835287i
$753$	11.8544	−	7.89013i	0.431998	−	0.287532i
$754$	−17.7223	+	4.01080i	−0.645409	+	0.146065i
$755$	−9.99808	+	14.6925i	−0.363867	+	0.534714i
$756$	27.6489	−	9.22206i	1.00558	−	0.335403i
$757$		−	24.9324i		−	0.906184i	−0.891464	−	0.453092i	$-0.850321\pi$
$757$		−	24.9324i		−	0.906184i	0.891464	−	0.453092i	$-0.149679\pi$
$758$	−3.60002	+	8.38009i	−0.130759	+	0.304379i
$759$	4.19460	−	5.30123i	0.152254	−	0.192423i
$760$	−3.31588	−	47.1696i	−0.120280	−	1.71102i
$761$	−26.6111	+	36.6270i	−0.964650	+	1.32773i	−0.0199469	+	0.999801i	$0.506350\pi$
$761$	−26.6111	+	36.6270i	−0.964650	+	1.32773i	−0.944703	+	0.327926i	$0.893650\pi$
$762$	4.09351	−	4.29849i	0.148292	−	0.155718i
$763$	−5.00854	+	3.63892i	−0.181321	+	0.131738i
$764$	27.9079	+	29.4047i	1.00967	+	1.06383i
$765$	1.94808	+	7.24023i	0.0704330	+	0.261771i
$766$	−17.6099	+	10.4776i	−0.636271	+	0.378571i
$767$	−27.8246	−	9.04076i	−1.00469	−	0.326443i
$768$	12.2947	−	24.8363i	0.443647	−	0.896202i
$769$	7.78339	−	23.9548i	0.280676	−	0.863833i	−0.706985	−	0.707229i	$-0.749945\pi$
$769$	7.78339	−	23.9548i	0.280676	−	0.863833i	0.987661	−	0.156605i	$-0.0500548\pi$
$770$	15.3024	+	6.02248i	0.551459	+	0.217035i
$771$	16.6321	−	11.0701i	0.598991	−	0.398680i
$772$	15.5264	−	2.04519i	0.558808	−	0.0736082i
$773$	12.5760	+	9.13698i	0.452326	+	0.328634i	0.790514	−	0.612445i	$-0.209814\pi$
$773$	12.5760	+	9.13698i	0.452326	+	0.328634i	−0.338187	+	0.941079i	$0.609814\pi$
$774$	−14.6761	−	30.0286i	−0.527521	−	1.07936i
$775$	−2.76420	−	44.8063i	−0.0992929	−	1.60949i
$776$	48.0189	+	13.5373i	1.72378	+	0.485961i
$777$	−38.5452	−	14.2987i	−1.38280	−	0.512963i
$778$	6.87825	+	30.3926i	0.246597	+	1.08963i
$779$	−14.9931	−	46.1440i	−0.537183	−	1.65328i
$780$	19.4208	−	18.0572i	0.695375	−	0.646552i
$781$	−2.05821	+	6.33453i	−0.0736487	+	0.226667i
$782$	−3.31317	−	0.304321i	−0.118479	−	0.0108825i
$783$	9.43699	+	17.0657i	0.337251	+	0.609880i
$784$	−3.34523	+	0.896852i	−0.119472	+	0.0320304i
$785$	26.5343	−	38.9929i	0.947049	−	1.39172i
$786$	−9.14833	−	4.38330i	−0.326310	−	0.156347i
$787$	−15.4588	+	11.2315i	−0.551045	+	0.400358i	−0.828171	−	0.560476i	$-0.810618\pi$
$787$	−15.4588	+	11.2315i	−0.551045	+	0.400358i	0.277125	+	0.960834i	$0.410618\pi$
$788$	−26.8423	+	12.8054i	−0.956218	+	0.456174i
$789$	29.3170	+	10.8754i	1.04371	+	0.387175i
$790$	13.3535	−	8.51273i	0.475096	−	0.302869i
$791$	35.3316	−	25.6699i	1.25625	−	0.912717i
$792$	15.7190	+	0.672444i	0.558552	+	0.0238942i
$793$		−	3.09010i		−	0.109733i
$794$	−10.3297	+	24.0453i	−0.366587	+	0.853337i
$795$	2.23390	+	7.12302i	0.0792284	+	0.252628i
$796$	−28.8610	+	3.80168i	−1.02295	+	0.134747i
$797$	−0.192782	−	0.593322i	−0.00682869	−	0.0210166i	0.947584	−	0.319506i	$-0.103517\pi$
$797$	−0.192782	−	0.593322i	−0.00682869	−	0.0210166i	−0.954413	+	0.298490i	$0.903517\pi$
$798$	−22.1939	+	46.3206i	−0.785655	+	1.63973i
$799$		−	1.17491i		−	0.0415654i
$800$	−28.1888	−	2.32238i	−0.996623	−	0.0821086i
$801$	−26.4068	−	43.4410i	−0.933038	−	1.53491i
$802$	−18.3515	−	16.0927i	−0.648014	−	0.568253i
$803$	−22.3641	+	7.26655i	−0.789214	+	0.256431i
$804$	4.76954	−	2.03942i	0.168209	−	0.0719249i
$805$	12.4227	−	4.46392i	0.437844	−	0.157332i
$806$	−39.9398	−	17.1578i	−1.40682	−	0.604359i
$807$	−11.9762	+	3.35445i	−0.421581	+	0.118082i
$808$	−10.7131	+	16.0369i	−0.376885	+	0.564176i
$809$	18.9868	+	26.1331i	0.667541	+	0.918792i	0.999702	−	0.0244311i	$-0.00777743\pi$
$809$	18.9868	+	26.1331i	0.667541	+	0.918792i	−0.332160	+	0.943223i	$0.607777\pi$
$810$	−24.4225	−	14.6131i	−0.858119	−	0.513451i
$811$	28.4409	−	39.1456i	0.998696	−	1.37459i	0.0725742	−	0.997363i	$-0.476879\pi$
$811$	28.4409	−	39.1456i	0.998696	−	1.37459i	0.926122	−	0.377224i	$-0.123121\pi$
$812$	−9.06420	−	19.0001i	−0.318091	−	0.666772i
$813$	−10.6274	+	13.4311i	−0.372718	+	0.471050i
$814$	−16.6857	−	14.6319i	−0.584834	−	0.512849i
$815$	11.6419	−	0.358766i	0.407799	−	0.0125670i
$816$	−3.94824	−	6.66145i	−0.138216	−	0.233198i
$817$	56.0170	+	18.2010i	1.95979	+	0.636774i
$818$	−0.918840	+	10.0035i	−0.0321265	+	0.349764i
$819$	−28.0330	+	6.62385i	−0.979552	+	0.231456i
$820$	−28.6426	+	4.67456i	−1.00024	+	0.163243i
$821$	13.4552	−	4.37187i	0.469590	−	0.152579i	−0.0646566	−	0.997908i	$-0.520595\pi$
$821$	13.4552	−	4.37187i	0.469590	−	0.152579i	0.534247	+	0.845328i	$0.320595\pi$
$822$	−3.76945	−	6.97168i	−0.131475	−	0.243165i
$823$	22.2565	+	16.1703i	0.775811	+	0.563660i	0.903719	−	0.428126i	$-0.140826\pi$
$823$	22.2565	+	16.1703i	0.775811	+	0.563660i	−0.127908	+	0.991786i	$0.540826\pi$
$824$	10.3861	−	36.8411i	0.361817	−	1.28342i
$825$	−5.27492	−	15.1667i	−0.183649	−	0.528038i
$826$	3.10028	−	33.7531i	0.107873	−	1.17442i
$827$	12.6394	−	17.3967i	0.439516	−	0.604942i	−0.530588	−	0.847630i	$-0.678029\pi$
$827$	12.6394	−	17.3967i	0.439516	−	0.604942i	0.970105	+	0.242687i	$0.0780289\pi$
$828$	9.84275	−	7.91333i	0.342059	−	0.275007i
$829$	5.25649	+	16.1778i	0.182565	+	0.561878i	0.999898	−	0.0142879i	$-0.00454813\pi$
$829$	5.25649	+	16.1778i	0.182565	+	0.561878i	−0.817333	+	0.576166i	$0.804548\pi$
$830$	−19.4028	−	1.18091i	−0.673480	−	0.0409899i
$831$	0.238272	−	5.79924i	0.00826558	−	0.201174i
$832$	−14.3054	+	23.3552i	−0.495950	+	0.809697i
$833$	−0.299050	+	0.920381i	−0.0103615	+	0.0318893i
$834$	12.5069	+	11.9105i	0.433080	+	0.412428i
$835$	−7.22368	−	9.32443i	−0.249986	−	0.322685i
$836$	−20.1105	+	19.0868i	−0.695536	+	0.660132i
$837$	−5.73267	+	46.2991i	−0.198150	+	1.60033i
$838$	−1.55003	−	2.60516i	−0.0535448	−	0.0899936i
$839$	−35.6588	−	25.9076i	−1.23108	−	0.894430i	−0.234107	−	0.972211i	$-0.575217\pi$
$839$	−35.6588	−	25.9076i	−1.23108	−	0.894430i	−0.996970	+	0.0777808i	$0.975217\pi$
$840$	25.3706	+	17.3272i	0.875370	+	0.597846i
$841$	−12.0665	+	8.76679i	−0.416085	+	0.302303i
$842$	−18.6875	−	8.02799i	−0.644012	−	0.276663i
$843$	−21.6400	+	6.06122i	−0.745321	+	0.208760i
$844$	14.9633	+	8.12306i	0.515059	+	0.279607i
$845$	2.26177	−	1.75220i	0.0778071	−	0.0602775i
$846$	3.10066	+	3.20562i	0.106603	+	0.110212i
$847$	6.55372	+	20.1703i	0.225189	+	0.693059i
$848$	−4.20003	−	6.46550i	−0.144230	−	0.222026i
$849$	0.118776	+	0.424060i	0.00407640	+	0.0145537i
$850$	−4.83502	+	6.25177i	−0.165840	+	0.214434i
$851$	−17.8141			−0.610660
$852$	−6.38069	+	10.6830i	−0.218599	+	0.365994i
$853$	−18.0688	+	5.87090i	−0.618662	+	0.201016i	−0.601546	−	0.798838i	$-0.705448\pi$
$853$	−18.0688	+	5.87090i	−0.618662	+	0.201016i	−0.0171161	+	0.999854i	$0.505448\pi$
$854$	3.49173	−	0.790226i	0.119485	−	0.0270410i
$855$	48.4319	−	13.0313i	1.65634	−	0.445660i
$856$	−15.4251	+	23.0906i	−0.527220	+	0.789220i
$857$	20.8990			0.713898			0.356949	−	0.934124i	$-0.383817\pi$
$857$	20.8990			0.713898			0.356949	+	0.934124i	$0.383817\pi$
$858$	−15.4125	−	2.05668i	−0.526173	−	0.0702138i
$859$	11.9399	+	16.4339i	0.407384	+	0.560716i	0.962578	−	0.271005i	$-0.0873560\pi$
$859$	11.9399	+	16.4339i	0.407384	+	0.560716i	−0.555194	+	0.831721i	$0.687356\pi$
$860$	15.8470	−	31.4659i	0.540377	−	1.07298i
$861$	29.5558	+	10.9640i	1.00726	+	0.373651i
$862$	−12.7536	−	21.4351i	−0.434388	−	0.730082i
$863$	−12.7010	−	17.4814i	−0.432347	−	0.595075i	0.536143	−	0.844127i	$-0.319881\pi$
$863$	−12.7010	−	17.4814i	−0.432347	−	0.595075i	−0.968490	+	0.249052i	$0.919881\pi$
$864$	28.3523	+	7.75543i	0.964565	+	0.263845i
$865$	12.2784	+	34.1698i	0.417478	+	1.16181i
$866$	−2.96515	+	1.76422i	−0.100760	+	0.0599506i
$867$	27.2581	+	1.11995i	0.925734	+	0.0380355i
$868$	9.17416	−	49.5186i	0.311391	−	1.68077i
$869$	−8.83104	−	2.86938i	−0.299573	−	0.0973370i
$870$	−8.30700	+	18.8028i	−0.281634	+	0.637474i
$871$	−4.87559	+	1.58418i	−0.165203	+	0.0536778i
$872$	−6.23863	+	0.245771i	−0.211267	+	0.00832284i
$873$	−4.34105	+	52.7386i	−0.146922	+	1.78493i
$874$	−2.03569	+	22.1627i	−0.0688582	+	0.749665i
$875$	6.89610	−	30.5888i	0.233131	−	1.03409i
$876$	−43.7544	+	3.94441i	−1.47833	+	0.133269i
$877$	2.47861	−	3.41151i	0.0836967	−	0.115199i	−0.765116	−	0.643893i	$-0.777318\pi$
$877$	2.47861	−	3.41151i	0.0836967	−	0.115199i	0.848812	+	0.528694i	$0.177318\pi$
$878$	−10.3660	−	45.8039i	−0.349837	−	1.54581i
$879$	14.9737	−	9.96627i	0.505049	−	0.336154i
$880$	9.45859	+	13.6228i	0.318849	+	0.459224i
$881$	−2.80298	−	0.910745i	−0.0944349	−	0.0306838i	0.261418	−	0.965226i	$-0.415810\pi$
$881$	−2.80298	−	0.910745i	−0.0944349	−	0.0306838i	−0.355853	+	0.934542i	$0.615810\pi$
$882$	−1.61301	−	3.30037i	−0.0543129	−	0.111129i
$883$	−2.30373	+	7.09016i	−0.0775268	+	0.238603i	−0.982308	−	0.187275i	$-0.940035\pi$
$883$	−2.30373	+	7.09016i	−0.0775268	+	0.238603i	0.904781	+	0.425878i	$0.140035\pi$
$884$	3.29514	+	6.90717i	0.110828	+	0.232313i
$885$	−26.9746	+	19.1786i	−0.906741	+	0.644681i
$886$	−26.6159	−	23.3399i	−0.894180	−	0.784119i
$887$	−27.3957	−	37.7070i	−0.919859	−	1.26608i	−0.963686	−	0.267038i	$-0.913955\pi$
$887$	−27.3957	−	37.7070i	−0.919859	−	1.26608i	0.0438270	−	0.999039i	$-0.486045\pi$
$888$	−24.3135	−	33.5838i	−0.815907	−	1.12700i
$889$	−5.49837	−	3.99480i	−0.184410	−	0.133981i
$890$	19.6249	−	49.8645i	0.657829	−	1.67146i
$891$	2.49222	+	16.5007i	0.0834924	+	0.552793i
$892$	1.93934	−	3.57241i	0.0649338	−	0.119613i
$893$	−7.85932			−0.263002
$894$	−48.8203	−	6.51469i	−1.63279	−	0.217884i
$895$	6.02148	−	20.6791i	0.201276	−	0.691225i
$896$	−30.0491	−	10.1921i	−1.00387	−	0.340495i
$897$	−10.3903	+	6.91567i	−0.346923	+	0.230907i
$898$	34.0329	+	29.8440i	1.13569	+	0.995906i
$899$	33.6956			1.12381
$900$	−3.30695	−	29.8172i	−0.110232	−	0.993906i
$901$	−2.15434			−0.0717714
$902$	12.7943	+	11.2195i	0.426004	+	0.373569i
$903$	−31.8574	+	21.2039i	−1.06015	+	0.705621i
$904$	44.0090	−	1.73373i	1.46372	−	0.0576630i
$905$	−20.9031	+	16.1938i	−0.694844	+	0.538299i
$906$	19.2968	+	2.57501i	0.641093	+	0.0855489i
$907$	13.6221			0.452313			0.226157	−	0.974091i	$-0.427384\pi$
$907$	13.6221			0.452313			0.226157	+	0.974091i	$0.427384\pi$
$908$	45.4199	+	24.6569i	1.50731	+	0.818268i
$909$	−18.8706	−	7.89591i	−0.625900	−	0.261891i
$910$	−23.4346	−	19.3063i	−0.776851	−	0.639997i
$911$	4.26038	+	3.09534i	0.141153	+	0.102553i	0.656121	−	0.754656i	$-0.272196\pi$
$911$	4.26038	+	3.09534i	0.141153	+	0.102553i	−0.514968	+	0.857209i	$0.672196\pi$
$912$	−44.5603	+	26.4109i	−1.47554	+	0.874553i
$913$	6.69949	+	9.22106i	0.221721	+	0.305173i
$914$	−29.6142	−	25.9691i	−0.979551	−	0.858983i
$915$	−2.80693	−	2.08367i	−0.0927942	−	0.0688841i
$916$	−5.22591	+	2.49308i	−0.172669	+	0.0823737i
$917$	−3.58920	+	11.0464i	−0.118526	+	0.364785i
$918$	6.13300	−	5.46309i	0.202419	−	0.180309i
$919$	−19.0916	−	6.20325i	−0.629775	−	0.204626i	−0.0232996	−	0.999729i	$-0.507417\pi$
$919$	−19.0916	−	6.20325i	−0.629775	−	0.204626i	−0.606475	+	0.795102i	$0.707417\pi$
$920$	12.9183	+	3.21583i	0.425902	+	0.106023i
$921$	24.5895	−	16.3664i	0.810250	−	0.539292i
$922$	−1.44862	−	6.40095i	−0.0477079	−	0.210804i
$923$	7.22841	−	9.94905i	0.237926	−	0.327477i
$924$	−1.61742	−	17.9417i	−0.0532092	−	0.590237i
$925$	−22.7175	+	35.7009i	−0.746947	+	1.17384i
$926$	1.92416	−	20.9485i	0.0632319	−	0.688412i
$927$	40.4621	+	3.33054i	1.32895	+	0.109389i
$928$	3.04271	−	21.0110i	0.0998819	−	0.689721i
$929$	−22.1752	+	7.20515i	−0.727544	+	0.236393i	−0.649291	−	0.760540i	$-0.724934\pi$
$929$	−22.1752	+	7.20515i	−0.727544	+	0.236393i	−0.0782532	+	0.996934i	$0.524934\pi$
$930$	−42.5171	+	24.7101i	−1.39419	+	0.810278i
$931$	6.15669	+	2.00043i	0.201777	+	0.0655614i
$932$	36.4964	+	6.76158i	1.19548	+	0.221483i
$933$	42.4780	+	1.74528i	1.39067	+	0.0571380i
$934$	−7.91369	+	4.70852i	−0.258944	+	0.154068i
$935$	4.63190	−	0.142740i	0.151479	−	0.00466810i
$936$	−27.2188	−	10.1494i	−0.889675	−	0.331743i
$937$	−17.3203	−	23.8393i	−0.565829	−	0.778797i	0.426224	−	0.904618i	$-0.359844\pi$
$937$	−17.3203	−	23.8393i	−0.565829	−	0.778797i	−0.992053	+	0.125821i	$0.959844\pi$
$938$	−3.03691	−	5.10417i	−0.0991585	−	0.166657i
$939$	15.6654	+	5.81122i	0.511221	+	0.189642i
$940$	−0.713594	+	4.64660i	−0.0232749	+	0.151555i
$941$	−31.9798	−	44.0164i	−1.04251	−	1.43489i	−0.895126	−	0.445814i	$-0.852914\pi$
$941$	−31.9798	−	44.0164i	−1.04251	−	1.43489i	−0.147385	−	0.989079i	$-0.547086\pi$
$942$	−51.2125	−	6.83391i	−1.66859	−	0.222661i
$943$	13.6595			0.444816
$944$	21.5083	−	26.5682i	0.700037	−	0.864720i
$945$	−12.8860	+	29.9306i	−0.419180	+	0.973642i
$946$	−20.1482	+	4.55982i	−0.655075	+	0.148252i
$947$	−11.6782	+	3.79449i	−0.379492	+	0.123304i	−0.492550	−	0.870284i	$-0.663935\pi$
$947$	−11.6782	+	3.79449i	−0.379492	+	0.123304i	0.113058	+	0.993588i	$0.463935\pi$
$948$	−14.8933	−	8.89540i	−0.483713	−	0.288909i
$949$	43.4172			1.40938
$950$	41.8199	+	32.3428i	1.35682	+	1.04934i
$951$	8.18527	+	29.2233i	0.265425	+	0.947631i
$952$	−6.96226	+	5.48978i	−0.225648	+	0.177925i
$953$	−5.69564	−	17.5294i	−0.184500	−	0.567832i	0.815439	−	0.578842i	$-0.196495\pi$
$953$	−5.69564	−	17.5294i	−0.184500	−	0.567832i	−0.999939	+	0.0110099i	$0.996495\pi$
$954$	5.87788	−	5.68541i	0.190303	−	0.184072i
$955$	−45.3036	+	1.39611i	−1.46599	+	0.0451771i
$956$	8.95987	−	16.5048i	0.289783	−	0.533803i
$957$	11.6064	−	3.25087i	0.375180	−	0.105086i
$958$	24.1069	+	10.3561i	0.778857	+	0.334591i
$959$	−7.34141	+	5.33385i	−0.237066	+	0.172239i
$960$	11.5688	+	28.7430i	0.373382	+	0.927678i
$961$	40.1353	+	29.1600i	1.29469	+	0.940645i
$962$	20.9516	+	35.2137i	0.675507	+	1.13533i
$963$	−27.1707	−	11.3689i	−0.875564	−	0.366356i
$964$	−28.7890	−	30.3330i	−0.927231	−	0.976961i
$965$	−9.85034	+	14.4754i	−0.317094	+	0.465979i
$966$	−10.4716	−	9.97226i	−0.336919	−	0.320852i
$967$	−9.31678	+	28.6741i	−0.299608	+	0.922097i	0.682027	+	0.731327i	$0.261099\pi$
$967$	−9.31678	+	28.6741i	−0.299608	+	0.922097i	−0.981635	+	0.190770i	$0.938901\pi$
$968$	−5.80352	+	20.5860i	−0.186532	+	0.661658i
$969$	−0.594186	+	14.4617i	−0.0190880	+	0.464578i
$970$	−47.0349	+	29.9843i	−1.51020	+	0.962738i
$971$	18.5759	+	57.1707i	0.596129	+	1.83470i	0.549024	+	0.835806i	$0.314999\pi$
$971$	18.5759	+	57.1707i	0.596129	+	1.83470i	0.0471045	+	0.998890i	$0.485001\pi$
$972$	−2.31584	+	31.0908i	−0.0742807	+	0.997237i
$973$	11.6233	−	15.9981i	0.372627	−	0.512877i
$974$	−2.49534	+	27.1670i	−0.0799558	+	0.870486i
$975$	0.609244	+	29.6423i	0.0195114	+	0.949313i
$976$	3.37081	+	1.29339i	0.107897	+	0.0414005i
$977$	26.6193	+	19.3401i	0.851627	+	0.618744i	0.925594	−	0.378517i	$-0.123566\pi$
$977$	26.6193	+	19.3401i	0.851627	+	0.618744i	−0.0739668	+	0.997261i	$0.523566\pi$
$978$	−6.06840	−	11.2236i	−0.194046	−	0.358892i
$979$	−29.8831	+	9.70960i	−0.955068	+	0.310320i
$980$	1.74170	−	3.45834i	0.0556366	−	0.110473i
$981$	−1.52281	−	6.44473i	−0.0486196	−	0.205765i
$982$	0.750610	−	8.17195i	0.0239529	−	0.260778i
$983$	−46.5391	−	15.1215i	−1.48437	−	0.482300i	−0.548951	−	0.835854i	$-0.684973\pi$
$983$	−46.5391	−	15.1215i	−1.48437	−	0.482300i	−0.935414	+	0.353555i	$0.884973\pi$
$984$	18.6431	+	25.7514i	0.594321	+	0.820926i
$985$	9.29610	−	31.9248i	0.296198	−	1.01721i
$986$	−4.46022	−	3.91123i	−0.142042	−	0.124559i
$987$	3.16854	−	4.00447i	0.100856	−	0.127464i
$988$	46.2040	−	22.0421i	1.46994	−	0.701253i
$989$	−9.74674	+	13.4152i	−0.309928	+	0.426580i
$990$	−12.2609	+	12.6133i	−0.389678	+	0.400877i
$991$	−31.2519	−	43.0145i	−0.992748	−	1.36640i	−0.929670	−	0.368392i	$-0.879908\pi$
$991$	−31.2519	−	43.0145i	−0.992748	−	1.36640i	−0.0630779	−	0.998009i	$-0.520092\pi$
$992$	35.4337	−	36.3864i	1.12502	−	1.15527i
$993$	42.3427	−	11.8599i	1.34371	−	0.376364i
$994$	13.0907	+	5.62366i	0.415211	+	0.178372i
$995$	18.3101	−	26.9073i	0.580471	−	0.853019i
$996$	8.37193	+	19.5792i	0.265275	+	0.620391i
$997$	−51.0502	+	16.5872i	−1.61678	+	0.525322i	−0.971178	−	0.238356i	$-0.923392\pi$
$997$	−51.0502	+	16.5872i	−1.61678	+	0.525322i	−0.645598	+	0.763678i	$0.723392\pi$
$998$	−22.0338	−	19.3218i	−0.697469	−	0.611620i
$999$	30.0243	−	32.1315i	0.949927	−	1.01660i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.r.a.59.41	yes	224
3.2	odd	2	inner	300.2.r.a.59.16	✓	224
4.3	odd	2	inner	300.2.r.a.59.19	yes	224
12.11	even	2	inner	300.2.r.a.59.38	yes	224
25.14	even	10	inner	300.2.r.a.239.38	yes	224
75.14	odd	10	inner	300.2.r.a.239.19	yes	224
100.39	odd	10	inner	300.2.r.a.239.16	yes	224
300.239	even	10	inner	300.2.r.a.239.41	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.r.a.59.16	✓	224	3.2	odd	2	inner
300.2.r.a.59.19	yes	224	4.3	odd	2	inner
300.2.r.a.59.38	yes	224	12.11	even	2	inner
300.2.r.a.59.41	yes	224	1.1	even	1	trivial
300.2.r.a.239.16	yes	224	100.39	odd	10	inner
300.2.r.a.239.19	yes	224	75.14	odd	10	inner
300.2.r.a.239.38	yes	224	25.14	even	10	inner
300.2.r.a.239.41	yes	224	300.239	even	10	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.r (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.932419 - 1.06329i) q^{2} +(1.44187 - 0.959691i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(1.84864 + 1.25798i) q^{5} +(0.323994 - 2.42797i) q^{6} -2.80461 q^{7} +(-2.35192 - 1.57114i) q^{8} +(1.15799 - 2.76750i) q^{9} +O(q^{10})\)	\(q+(0.932419 - 1.06329i) q^{2} +(1.44187 - 0.959691i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(1.84864 + 1.25798i) q^{5} +(0.323994 - 2.42797i) q^{6} -2.80461 q^{7} +(-2.35192 - 1.57114i) q^{8} +(1.15799 - 2.76750i) q^{9} +(3.06132 - 0.792685i) q^{10} +(-1.50008 - 1.08987i) q^{11} +(-2.27955 - 2.60838i) q^{12} +(2.01229 + 2.76969i) q^{13} +(-2.61507 + 2.98213i) q^{14} +(3.87278 + 0.0397234i) q^{15} +(-3.86356 + 1.03582i) q^{16} +(-0.345387 + 1.06299i) q^{17} +(-1.86294 - 3.81175i) q^{18} +(7.11064 + 2.31039i) q^{19} +(2.01157 - 3.99419i) q^{20} +(-4.04389 + 2.69156i) q^{21} +(-2.55756 + 0.578810i) q^{22} +(-1.23722 + 1.70289i) q^{23} +(-4.89897 - 0.00827497i) q^{24} +(1.83496 + 4.65112i) q^{25} +(4.82129 + 0.442845i) q^{26} +(-0.986279 - 5.10169i) q^{27} +(0.732538 + 5.56118i) q^{28} +(-3.56932 + 1.15974i) q^{29} +(3.65329 - 4.08087i) q^{30} +(-8.53887 - 2.77445i) q^{31} +(-2.50108 + 5.07391i) q^{32} +(-3.20886 - 0.131842i) q^{33} +(0.808228 + 1.35840i) q^{34} +(-5.18472 - 3.52815i) q^{35} +(-5.79006 - 1.57329i) q^{36} +(4.97454 + 6.84687i) q^{37} +(9.08672 - 5.40646i) q^{38} +(5.55951 + 2.06235i) q^{39} +(-2.37138 - 5.86315i) q^{40} +(-3.81439 - 5.25005i) q^{41} +(-0.908676 + 6.80950i) q^{42} +7.87791 q^{43} +(-1.76927 + 3.25913i) q^{44} +(5.62217 - 3.65940i) q^{45} +(0.657066 + 2.90334i) q^{46} +(-0.999744 + 0.324837i) q^{47} +(-4.57669 + 5.20134i) q^{48} +0.865841 q^{49} +(6.65646 + 2.38569i) q^{50} +(0.522140 + 1.86416i) q^{51} +(4.96634 - 4.71354i) q^{52} +(0.595625 + 1.83314i) q^{53} +(-6.34423 - 3.70821i) q^{54} +(-1.40207 - 3.90186i) q^{55} +(6.59621 + 4.40645i) q^{56} +(12.4699 - 3.49274i) q^{57} +(-2.09495 + 4.87660i) q^{58} +(-6.91365 + 5.02306i) q^{59} +(-0.932768 - 7.68960i) q^{60} +(-0.730226 - 0.530540i) q^{61} +(-10.9119 + 6.49239i) q^{62} +(-3.24770 + 7.76177i) q^{63} +(3.06301 + 7.39040i) q^{64} +(0.235797 + 7.65159i) q^{65} +(-3.13219 + 3.28904i) q^{66} +(-0.462733 + 1.42415i) q^{67} +(2.19799 + 0.407214i) q^{68} +(-0.149667 + 3.64271i) q^{69} +(-8.58580 + 2.22317i) q^{70} +(-1.11003 - 3.41631i) q^{71} +(-7.07163 + 4.68957i) q^{72} +(7.45432 - 10.2600i) q^{73} +(11.9186 + 1.09475i) q^{74} +(7.10941 + 4.94532i) q^{75} +(2.72397 - 14.7029i) q^{76} +(4.20714 + 3.05667i) q^{77} +(7.37668 - 3.98843i) q^{78} +(4.76272 - 1.54750i) q^{79} +(-8.44538 - 2.94544i) q^{80} +(-6.31813 - 6.40946i) q^{81} +(-9.13896 - 0.839431i) q^{82} +(-5.84619 - 1.89954i) q^{83} +(6.39324 + 7.31550i) q^{84} +(-1.97572 + 1.53060i) q^{85} +(7.34551 - 8.37654i) q^{86} +(-4.03351 + 5.09764i) q^{87} +(1.81572 + 4.92013i) q^{88} +(9.96050 - 13.7094i) q^{89} +(1.35120 - 9.39011i) q^{90} +(-5.64370 - 7.76789i) q^{91} +(3.69977 + 2.00848i) q^{92} +(-14.9746 + 4.19428i) q^{93} +(-0.586783 + 1.36591i) q^{94} +(10.2386 + 13.2161i) q^{95} +(1.26316 + 9.71619i) q^{96} +(-16.7757 + 5.45075i) q^{97} +(0.807327 - 0.920644i) q^{98} +(-4.75330 + 2.88942i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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