LMFDB - Embedded newform 300.2.r.a.119.29

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			119.29
Character	$\chi$	$=$	300.119
Dual form			300.2.r.a.179.29

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0273113 + 1.41395i) q^{2} +(1.04604 - 1.38051i) q^{3} +(-1.99851 + 0.0772337i) q^{4} +(-1.34521 - 1.78617i) q^{5} +(1.98054 + 1.44134i) q^{6} +2.98415 q^{7} +(-0.163786 - 2.82368i) q^{8} +(-0.811603 - 2.88813i) q^{9} +O(q^{10})$	\(q+(0.0273113 + 1.41395i) q^{2} +(1.04604 - 1.38051i) q^{3} +(-1.99851 + 0.0772337i) q^{4} +(-1.34521 - 1.78617i) q^{5} +(1.98054 + 1.44134i) q^{6} +2.98415 q^{7} +(-0.163786 - 2.82368i) q^{8} +(-0.811603 - 2.88813i) q^{9} +(2.48882 - 1.95084i) q^{10} +(-0.988386 - 3.04194i) q^{11} +(-1.98390 + 2.83975i) q^{12} +(-3.49341 - 1.13508i) q^{13} +(0.0815010 + 4.21943i) q^{14} +(-3.87297 - 0.0113391i) q^{15} +(3.98807 - 0.308704i) q^{16} +(4.35269 + 3.16242i) q^{17} +(4.06151 - 1.22644i) q^{18} +(1.79279 - 2.46756i) q^{19} +(2.82636 + 3.46579i) q^{20} +(3.12154 - 4.11964i) q^{21} +(4.27416 - 1.48061i) q^{22} +(4.56852 - 1.48440i) q^{23} +(-4.06944 - 2.72757i) q^{24} +(-1.38083 + 4.80555i) q^{25} +(1.50953 - 4.97051i) q^{26} +(-4.83606 - 1.90067i) q^{27} +(-5.96384 + 0.230477i) q^{28} +(3.22418 + 4.43770i) q^{29} +(-0.0897429 - 5.47649i) q^{30} +(-2.59765 + 3.57536i) q^{31} +(0.545412 + 5.63050i) q^{32} +(-5.23331 - 1.81751i) q^{33} +(-4.35262 + 6.24086i) q^{34} +(-4.01430 - 5.33021i) q^{35} +(1.84506 + 5.70927i) q^{36} +(-6.75575 - 2.19508i) q^{37} +(3.53797 + 2.46752i) q^{38} +(-5.22123 + 3.63535i) q^{39} +(-4.82326 + 4.09099i) q^{40} +(2.93562 + 0.953840i) q^{41} +(5.91022 + 4.30118i) q^{42} +9.03650 q^{43} +(2.21024 + 6.00301i) q^{44} +(-4.06693 + 5.33480i) q^{45} +(2.22364 + 6.41911i) q^{46} +(-2.83752 - 3.90551i) q^{47} +(3.74551 - 5.82848i) q^{48} +1.90514 q^{49} +(-6.83252 - 1.82118i) q^{50} +(8.91883 - 2.70091i) q^{51} +(7.06928 + 1.99866i) q^{52} +(-5.43840 + 3.95123i) q^{53} +(2.55538 - 6.88985i) q^{54} +(-4.10385 + 5.85747i) q^{55} +(-0.488763 - 8.42628i) q^{56} +(-1.53116 - 5.05612i) q^{57} +(-6.18663 + 4.68003i) q^{58} +(-1.32864 + 4.08914i) q^{59} +(7.74103 - 0.276462i) q^{60} +(3.92726 + 12.0869i) q^{61} +(-5.12633 - 3.57530i) q^{62} +(-2.42194 - 8.61861i) q^{63} +(-7.94635 + 0.924961i) q^{64} +(2.67192 + 7.76676i) q^{65} +(2.42695 - 7.44928i) q^{66} +(-10.6796 - 7.75919i) q^{67} +(-8.94314 - 5.98394i) q^{68} +(2.72962 - 7.85961i) q^{69} +(7.42701 - 5.82159i) q^{70} +(0.297957 - 0.216478i) q^{71} +(-8.02223 + 2.76474i) q^{72} +(6.69237 - 2.17448i) q^{73} +(2.91922 - 9.61224i) q^{74} +(5.18969 + 6.93305i) q^{75} +(-3.39232 + 5.06990i) q^{76} +(-2.94949 - 9.07760i) q^{77} +(-5.28280 - 7.28328i) q^{78} +(8.73021 + 12.0161i) q^{79} +(-5.91618 - 6.70812i) q^{80} +(-7.68260 + 4.68803i) q^{81} +(-1.26851 + 4.17687i) q^{82} +(2.22205 - 3.05839i) q^{83} +(-5.92024 + 8.47422i) q^{84} +(-0.206649 - 12.0288i) q^{85} +(0.246799 + 12.7772i) q^{86} +(9.49890 + 0.191007i) q^{87} +(-8.42758 + 3.28912i) q^{88} +(10.2283 - 3.32337i) q^{89} +(-7.65421 - 5.60473i) q^{90} +(-10.4249 - 3.38724i) q^{91} +(-9.01557 + 3.31943i) q^{92} +(2.21857 + 7.32605i) q^{93} +(5.44470 - 4.11878i) q^{94} +(-6.81915 + 0.117150i) q^{95} +(8.34347 + 5.13678i) q^{96} +(0.944770 + 1.30036i) q^{97} +(0.0520318 + 2.69377i) q^{98} +(-7.98334 + 5.32344i) 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 $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{9}{10}\right)$

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 $

$2$	0.0273113	+	1.41395i	0.0193120	+	0.999814i
$2$	0.0273113	+	1.41395i	0.0193120	+	0.999814i
$3$	1.04604	−	1.38051i	0.603931	−	0.797036i
$3$	1.04604	−	1.38051i	0.603931	−	0.797036i
$4$	−1.99851	+	0.0772337i	−0.999254	+	0.0386168i
$5$	−1.34521	−	1.78617i	−0.601595	−	0.798801i
$5$	−1.34521	−	1.78617i	−0.601595	−	0.798801i
$6$	1.98054	+	1.44134i	0.808551	+	0.588426i
$7$	2.98415			1.12790			0.563951	−	0.825808i	$-0.309281\pi$
$7$	2.98415			1.12790			0.563951	+	0.825808i	$0.309281\pi$
$8$	−0.163786	−	2.82368i	−0.0579072	−	0.998322i
$9$	−0.811603	−	2.88813i	−0.270534	−	0.962710i
$10$	2.48882	−	1.95084i	0.787034	−	0.616909i
$11$	−0.988386	−	3.04194i	−0.298010	−	0.917179i	−0.982194	−	0.187870i	$-0.939842\pi$
$11$	−0.988386	−	3.04194i	−0.298010	−	0.917179i	0.684184	−	0.729309i	$-0.260158\pi$
$12$	−1.98390	+	2.83975i	−0.572702	+	0.819764i
$13$	−3.49341	−	1.13508i	−0.968899	−	0.314814i	−0.218527	−	0.975831i	$-0.570125\pi$
$13$	−3.49341	−	1.13508i	−0.968899	−	0.314814i	−0.750371	+	0.661017i	$0.770125\pi$
$14$	0.0815010	+	4.21943i	0.0217821	+	1.12769i
$15$	−3.87297	−	0.0113391i	−0.999996	−	0.00292775i
$16$	3.98807	−	0.308704i	0.997017	−	0.0771761i
$17$	4.35269	+	3.16242i	1.05568	+	0.766999i	0.973285	−	0.229601i	$-0.0737421\pi$
$17$	4.35269	+	3.16242i	1.05568	+	0.766999i	0.0823980	+	0.996600i	$0.473742\pi$
$18$	4.06151	−	1.22644i	0.957306	−	0.289076i
$19$	1.79279	−	2.46756i	0.411293	−	0.566096i	−0.552240	−	0.833685i	$-0.686227\pi$
$19$	1.79279	−	2.46756i	0.411293	−	0.566096i	0.963533	+	0.267589i	$0.0862268\pi$
$20$	2.82636	+	3.46579i	0.631993	+	0.774974i
$21$	3.12154	−	4.11964i	0.681175	−	0.898979i
$22$	4.27416	−	1.48061i	0.911253	−	0.315667i
$23$	4.56852	−	1.48440i	0.952601	−	0.309519i	0.208829	−	0.977952i	$-0.433035\pi$
$23$	4.56852	−	1.48440i	0.952601	−	0.309519i	0.743772	+	0.668433i	$0.233035\pi$
$24$	−4.06944	−	2.72757i	−0.830671	−	0.556764i
$25$	−1.38083	+	4.80555i	−0.276167	+	0.961110i
$26$	1.50953	−	4.97051i	0.296044	−	0.974798i
$27$	−4.83606	−	1.90067i	−0.930699	−	0.365785i
$28$	−5.96384	+	0.230477i	−1.12706	+	0.0435560i
$29$	3.22418	+	4.43770i	0.598715	+	0.824060i	0.995590	−	0.0938122i	$-0.0299053\pi$
$29$	3.22418	+	4.43770i	0.598715	+	0.824060i	−0.396875	+	0.917873i	$0.629905\pi$
$30$	−0.0897429	−	5.47649i	−0.0163847	−	0.999866i
$31$	−2.59765	+	3.57536i	−0.466552	+	0.642154i	−0.975851	−	0.218435i	$-0.929905\pi$
$31$	−2.59765	+	3.57536i	−0.466552	+	0.642154i	0.509299	+	0.860590i	$0.329905\pi$
$32$	0.545412	+	5.63050i	0.0964161	+	0.995341i
$33$	−5.23331	−	1.81751i	−0.911003	−	0.316389i
$34$	−4.35262	+	6.24086i	−0.746468	+	1.07030i
$35$	−4.01430	−	5.33021i	−0.678540	−	0.900969i
$36$	1.84506	+	5.70927i	0.307509	+	0.951545i
$37$	−6.75575	−	2.19508i	−1.11064	−	0.360868i	−0.304451	−	0.952528i	$-0.598473\pi$
$37$	−6.75575	−	2.19508i	−1.11064	−	0.360868i	−0.806188	+	0.591660i	$0.798473\pi$
$38$	3.53797	+	2.46752i	0.573934	+	0.400284i
$39$	−5.22123	+	3.63535i	−0.836066	+	0.582121i
$40$	−4.82326	+	4.09099i	−0.762624	+	0.646842i
$41$	2.93562	+	0.953840i	0.458466	+	0.148965i	0.529140	−	0.848535i	$-0.322515\pi$
$41$	2.93562	+	0.953840i	0.458466	+	0.148965i	−0.0706732	+	0.997500i	$0.522515\pi$
$42$	5.91022	+	4.30118i	0.911966	+	0.663687i
$43$	9.03650			1.37805			0.689027	−	0.724736i	$-0.258038\pi$
$43$	9.03650			1.37805			0.689027	+	0.724736i	$0.258038\pi$
$44$	2.21024	+	6.00301i	0.333206	+	0.904987i
$45$	−4.06693	+	5.33480i	−0.606262	+	0.795265i
$46$	2.22364	+	6.41911i	0.327858	+	0.946446i
$47$	−2.83752	−	3.90551i	−0.413895	−	0.569678i	0.550268	−	0.834988i	$-0.314526\pi$
$47$	−2.83752	−	3.90551i	−0.413895	−	0.569678i	−0.964163	+	0.265310i	$0.914526\pi$
$48$	3.74551	−	5.82848i	0.540618	−	0.841268i
$49$	1.90514			0.272162
$50$	−6.83252	−	1.82118i	−0.966264	−	0.257554i
$51$	8.91883	−	2.70091i	1.24889	−	0.378203i
$52$	7.06928	+	1.99866i	0.980333	+	0.277164i
$53$	−5.43840	+	3.95123i	−0.747022	+	0.542743i	−0.894902	−	0.446262i	$-0.852755\pi$
$53$	−5.43840	+	3.95123i	−0.747022	+	0.542743i	0.147881	+	0.989005i	$0.452755\pi$
$54$	2.55538	−	6.88985i	0.347743	−	0.937590i
$55$	−4.10385	+	5.85747i	−0.553363	+	0.789821i
$56$	−0.488763	−	8.42628i	−0.0653137	−	1.12601i
$57$	−1.53116	−	5.05612i	−0.202807	−	0.669699i
$58$	−6.18663	+	4.68003i	−0.812344	+	0.614518i
$59$	−1.32864	+	4.08914i	−0.172974	+	0.532360i	−0.999535	−	0.0304872i	$-0.990294\pi$
$59$	−1.32864	+	4.08914i	−0.172974	+	0.532360i	0.826561	+	0.562847i	$0.190294\pi$
$60$	7.74103	−	0.276462i	0.999363	−	0.0356911i
$61$	3.92726	+	12.0869i	0.502834	+	1.54756i	0.804382	+	0.594112i	$0.202497\pi$
$61$	3.92726	+	12.0869i	0.502834	+	1.54756i	−0.301548	+	0.953451i	$0.597503\pi$
$62$	−5.12633	−	3.57530i	−0.651045	−	0.454064i
$63$	−2.42194	−	8.61861i	−0.305136	−	1.08584i
$64$	−7.94635	+	0.924961i	−0.993294	+	0.115620i
$65$	2.67192	+	7.76676i	0.331411	+	0.963348i
$66$	2.42695	−	7.44928i	0.298736	−	0.916943i
$67$	−10.6796	−	7.75919i	−1.30472	−	0.947936i	−0.304732	−	0.952438i	$-0.598567\pi$
$67$	−10.6796	−	7.75919i	−1.30472	−	0.947936i	−0.999990	+	0.00450258i	$0.998567\pi$
$68$	−8.94314	−	5.98394i	−1.08451	−	0.725659i
$69$	2.72962	−	7.85961i	0.328608	−	0.946186i
$70$	7.42701	−	5.82159i	0.887697	−	0.695813i
$71$	0.297957	−	0.216478i	0.0353610	−	0.0256912i	−0.569964	−	0.821669i	$-0.693043\pi$
$71$	0.297957	−	0.216478i	0.0353610	−	0.0256912i	0.605325	+	0.795978i	$0.293043\pi$
$72$	−8.02223	+	2.76474i	−0.945429	+	0.325828i
$73$	6.69237	−	2.17448i	0.783283	−	0.254504i	0.110042	−	0.993927i	$-0.464902\pi$
$73$	6.69237	−	2.17448i	0.783283	−	0.254504i	0.673241	+	0.739423i	$0.264902\pi$
$74$	2.91922	−	9.61224i	0.339352	−	1.11740i
$75$	5.18969	+	6.93305i	0.599254	+	0.800559i
$76$	−3.39232	+	5.06990i	−0.389125	+	0.581557i
$77$	−2.94949	−	9.07760i	−0.336126	−	1.03449i
$78$	−5.28280	−	7.28328i	−0.598159	−	0.824669i
$79$	8.73021	+	12.0161i	0.982226	+	1.35192i	0.935622	+	0.353004i	$0.114840\pi$
$79$	8.73021	+	12.0161i	0.982226	+	1.35192i	0.0466037	+	0.998913i	$0.485160\pi$
$80$	−5.91618	−	6.70812i	−0.661449	−	0.749990i
$81$	−7.68260	+	4.68803i	−0.853622	+	0.520892i
$82$	−1.26851	+	4.17687i	−0.140083	+	0.461258i
$83$	2.22205	−	3.05839i	0.243902	−	0.335702i	−0.669462	−	0.742846i	$-0.733475\pi$
$83$	2.22205	−	3.05839i	0.243902	−	0.335702i	0.913364	+	0.407144i	$0.133475\pi$
$84$	−5.92024	+	8.47422i	−0.645951	+	0.924613i
$85$	−0.206649	−	12.0288i	−0.0224142	−	1.30470i
$86$	0.246799	+	12.7772i	0.0266130	+	1.37780i
$87$	9.49890	+	0.191007i	1.01839	+	0.0204781i
$88$	−8.42758	+	3.28912i	−0.898384	+	0.350621i
$89$	10.2283	−	3.32337i	1.08420	−	0.352277i	0.288195	−	0.957572i	$-0.406945\pi$
$89$	10.2283	−	3.32337i	1.08420	−	0.352277i	0.796001	+	0.605295i	$0.206945\pi$
$90$	−7.65421	−	5.60473i	−0.806825	−	0.590791i
$91$	−10.4249	−	3.38724i	−1.09282	−	0.355080i
$92$	−9.01557	+	3.31943i	−0.939938	+	0.346075i
$93$	2.21857	+	7.32605i	0.230055	+	0.759676i
$94$	5.44470	−	4.11878i	0.561578	−	0.424819i
$95$	−6.81915	+	0.117150i	−0.699630	+	0.0120193i
$96$	8.34347	+	5.13678i	0.851552	+	0.524270i
$97$	0.944770	+	1.30036i	0.0959268	+	0.132032i	0.854282	−	0.519809i	$-0.173997\pi$
$97$	0.944770	+	1.30036i	0.0959268	+	0.132032i	−0.758356	+	0.651841i	$0.773997\pi$
$98$	0.0520318	+	2.69377i	0.00525600	+	0.272111i
$99$	−7.98334	+	5.32344i	−0.802356	+	0.535026i
$100$	2.38846	−	9.71058i	0.238846	−	0.971058i
$101$		−	9.32896i		−	0.928267i	−0.885765	−	0.464133i	$-0.846366\pi$
$101$		−	9.32896i		−	0.928267i	0.885765	−	0.464133i	$-0.153634\pi$
$102$	4.06254	+	12.5370i	0.402251	+	1.24135i
$103$	0.854168	−	0.620590i	0.0841637	−	0.0611485i	−0.544908	−	0.838496i	$-0.683435\pi$
$103$	0.854168	−	0.620590i	0.0841637	−	0.0611485i	0.629071	+	0.777348i	$0.283435\pi$
$104$	−2.63293	+	10.0502i	−0.258180	+	0.985503i
$105$	−11.5575	−	0.0338377i	−1.12790	−	0.00330222i
$106$	−5.73537	−	7.58171i	−0.557068	−	0.736401i
$107$			6.91538i			0.668535i	0.942478	+	0.334267i	$0.108489\pi$
$107$			6.91538i			0.668535i	−0.942478	+	0.334267i	$0.891511\pi$
$108$	9.81169	+	3.42501i	0.944131	+	0.329571i
$109$	−3.37536	+	10.3883i	−0.323301	+	0.995018i	0.648901	+	0.760873i	$0.275229\pi$
$109$	−3.37536	+	10.3883i	−0.323301	+	0.995018i	−0.972202	+	0.234145i	$0.924771\pi$
$110$	−8.39425	−	5.64266i	−0.800360	−	0.538007i
$111$	−10.0971	+	7.03023i	−0.958374	+	0.667280i
$112$	11.9010	−	0.921219i	1.12454	−	0.0870470i
$113$	1.70589	−	5.25018i	0.160476	−	0.493895i	−0.838198	−	0.545366i	$-0.816391\pi$
$113$	1.70589	−	5.25018i	0.160476	−	0.493895i	0.998675	+	0.0514704i	$0.0163908\pi$
$114$	7.10728	−	2.30307i	0.665657	−	0.215702i
$115$	−8.79700	−	6.16334i	−0.820324	−	0.574734i
$116$	−6.78629	−	8.61977i	−0.630091	−	0.800325i
$117$	−0.442991	+	11.0107i	−0.0409546	+	1.01794i
$118$	−5.81812	−	1.76695i	−0.535601	−	0.162661i
$119$	12.9891	+	9.43711i	1.19071	+	0.865099i
$120$	0.602321	+	10.9379i	0.0549842	+	0.998487i
$121$	0.622694	−	0.452414i	0.0566086	−	0.0411285i
$122$	−16.9830	+	5.88305i	−1.53756	+	0.532627i
$123$	4.38756	−	3.05489i	0.395613	−	0.275450i
$124$	4.91529	−	7.34602i	0.441407	−	0.659692i
$125$	10.4411	−	3.99805i	0.933876	−	0.357596i
$126$	12.1201	−	3.65989i	1.07975	−	0.326049i
$127$	−1.65051	−	5.07974i	−0.146459	−	0.450754i	0.850737	−	0.525592i	$-0.176156\pi$
$127$	−1.65051	−	5.07974i	−0.146459	−	0.450754i	−0.997196	+	0.0748379i	$0.976156\pi$
$128$	−1.52487	−	11.2105i	−0.134781	−	0.990875i
$129$	9.45254	−	12.4750i	0.832250	−	1.09836i
$130$	−10.9088	+	3.99008i	−0.956768	+	0.349953i
$131$	7.00547	+	5.08977i	0.612071	+	0.444695i	0.850143	−	0.526552i	$-0.176515\pi$
$131$	7.00547	+	5.08977i	0.612071	+	0.444695i	−0.238072	+	0.971247i	$0.576515\pi$
$132$	10.5992	+	3.22813i	0.922541	+	0.280973i
$133$	5.34993	−	7.36355i	0.463898	−	0.638501i
$134$	10.6794	−	15.3123i	0.922562	−	1.32278i
$135$	3.11056	+	11.1948i	0.267715	+	0.963498i
$136$	8.21674	−	12.8086i	0.704580	−	1.09833i
$137$	0.00989841	−	0.0304642i	0.000845678	−	0.00260273i	−0.950633	−	0.310318i	$-0.899564\pi$
$137$	0.00989841	−	0.0304642i	0.000845678	−	0.00260273i	0.951478	+	0.307715i	$0.0995644\pi$
$138$	11.1876	+	3.64489i	0.952356	+	0.310274i
$139$	17.9618	−	5.83614i	1.52350	−	0.495015i	0.576731	−	0.816934i	$-0.304328\pi$
$139$	17.9618	−	5.83614i	1.52350	−	0.495015i	0.946767	+	0.321919i	$0.104328\pi$
$140$	8.43428	+	10.3424i	0.712827	+	0.874094i
$141$	−8.35975	−	0.168101i	−0.704018	−	0.0141566i
$142$	0.314227	+	0.415384i	0.0263693	+	0.0348582i
$143$			11.7487i			0.982472i
$144$	−4.12831	−	11.2675i	−0.344026	−	0.938960i
$145$	3.58932	−	11.7286i	0.298077	−	0.974005i
$146$	3.25739	+	9.40329i	0.269583	+	0.778222i
$147$	1.99285	−	2.63005i	0.164367	−	0.216923i
$148$	13.6710	+	3.86511i	1.12375	+	0.317710i
$149$			15.0572i			1.23354i	0.787145	+	0.616769i	$0.211559\pi$
$149$			15.0572i			1.23354i	−0.787145	+	0.616769i	$0.788441\pi$
$150$	−9.66124	+	7.52731i	−0.788837	+	0.614602i
$151$			2.23046i			0.181512i	0.995873	+	0.0907561i	$0.0289284\pi$
$151$			2.23046i			0.181512i	−0.995873	+	0.0907561i	$0.971072\pi$
$152$	−7.26123	−	4.65810i	−0.588963	−	0.377822i
$153$	5.60081	−	15.1378i	0.452799	−	1.22382i
$154$	12.7547	−	4.41835i	1.02780	−	0.356041i
$155$	9.88061	−	0.169744i	0.793629	−	0.0136342i
$156$	10.1539	−	7.66853i	0.812963	−	0.613973i
$157$			3.80222i			0.303450i	0.988423	+	0.151725i	$0.0484829\pi$
$157$			3.80222i			0.303450i	−0.988423	+	0.151725i	$0.951517\pi$
$158$	−16.7517	+	12.6723i	−1.33270	+	1.00815i
$159$	−0.234079	+	11.6409i	−0.0185637	+	0.923183i
$160$	9.32336	−	8.54839i	0.737076	−	0.675810i
$161$	13.6331	−	4.42967i	1.07444	−	0.349107i
$162$	−6.83846	−	10.7348i	−0.537280	−	0.843404i
$163$	1.92509	−	5.92481i	0.150785	−	0.464067i	−0.846925	−	0.531713i	$-0.821549\pi$
$163$	1.92509	−	5.92481i	0.150785	−	0.464067i	0.997709	+	0.0676455i	$0.0215487\pi$
$164$	−5.94053	−	1.67953i	−0.463877	−	0.131149i
$165$	3.79349	+	11.7925i	0.295323	+	0.918048i
$166$	4.38510	+	3.05834i	0.340350	+	0.237374i
$167$	−8.65296	+	11.9098i	−0.669586	+	0.921606i	−0.999751	−	0.0223172i	$-0.992896\pi$
$167$	−8.65296	+	11.9098i	−0.669586	+	0.921606i	0.330165	+	0.943923i	$0.392896\pi$
$168$	−12.1438	−	8.13948i	−0.936915	−	0.627975i
$169$	0.398314	+	0.289392i	0.0306395	+	0.0222609i
$170$	17.0024	−	0.620713i	1.30403	−	0.0476065i
$171$	−8.58166	−	3.17512i	−0.656256	−	0.242808i
$172$	−18.0595	+	0.697922i	−1.37703	+	0.0532161i
$173$	4.14754	+	12.7648i	0.315332	+	0.970491i	0.975618	+	0.219477i	$0.0704351\pi$
$173$	4.14754	+	12.7648i	0.315332	+	0.970491i	−0.660286	+	0.751014i	$0.729565\pi$
$174$	−0.0106468	+	13.4362i	−0.000807132	+	1.01859i
$175$	−4.12061	+	14.3405i	−0.311489	+	1.08404i
$176$	−4.88081	−	11.8264i	−0.367905	−	0.891445i
$177$	4.25527	+	6.11160i	0.319846	+	0.459376i
$178$	4.97843	+	14.3715i	0.373149	+	1.07719i
$179$	0.947981	−	0.688748i	0.0708554	−	0.0514795i	−0.551794	−	0.833981i	$-0.686056\pi$
$179$	0.947981	−	0.688748i	0.0708554	−	0.0514795i	0.622649	+	0.782501i	$0.286056\pi$
$180$	7.71577	−	10.9757i	0.575099	−	0.818084i
$181$	−8.30095	−	6.03100i	−0.617005	−	0.448280i	0.234869	−	0.972027i	$-0.424534\pi$
$181$	−8.30095	−	6.03100i	−0.617005	−	0.448280i	−0.851874	+	0.523747i	$0.824534\pi$
$182$	4.50467	−	14.8327i	0.333909	−	1.09948i
$183$	20.7941	+	7.22172i	1.53714	+	0.533845i
$184$	−4.93974	−	12.6569i	−0.364162	−	0.933080i
$185$	5.16710	+	15.0198i	0.379892	+	1.10428i
$186$	−10.2981	+	3.33703i	−0.755092	+	0.244683i
$187$	5.31774	−	16.3663i	0.388872	−	1.19682i
$188$	5.97245	+	7.58605i	0.435585	+	0.553269i
$189$	−14.4315	−	5.67189i	−1.04974	−	0.412570i
$190$	−0.351884	−	9.63874i	−0.0255284	−	0.699268i
$191$	5.48680	−	16.8866i	0.397011	−	1.22187i	−0.530373	−	0.847764i	$-0.677948\pi$
$191$	5.48680	−	16.8866i	0.397011	−	1.22187i	0.927384	−	0.374110i	$-0.122052\pi$
$192$	−7.03528	+	11.9375i	−0.507727	+	0.861518i
$193$		−	5.17895i		−	0.372789i	−0.982475	−	0.186394i	$-0.940320\pi$
$193$		−	5.17895i		−	0.372789i	0.982475	−	0.186394i	$-0.0596802\pi$
$194$	−1.81285	+	1.37137i	−0.130155	+	0.0984588i
$195$	13.5170	+	4.43574i	0.967973	+	0.317650i
$196$	−3.80743	+	0.147141i	−0.271959	+	0.0105100i
$197$	−9.10943	+	6.61839i	−0.649020	+	0.471541i	−0.862937	−	0.505311i	$-0.831378\pi$
$197$	−9.10943	+	6.61839i	−0.649020	+	0.471541i	0.213917	+	0.976852i	$0.431378\pi$
$198$	−7.74511	−	11.1427i	−0.550421	−	0.791874i
$199$			21.8713i			1.55042i	0.631706	+	0.775208i	$0.282355\pi$
$199$			21.8713i			1.55042i	−0.631706	+	0.775208i	$0.717645\pi$
$200$	13.7955	+	3.11195i	0.975489	+	0.220048i
$201$	−21.8829	+	6.62686i	−1.54350	+	0.467423i
$202$	13.1907	−	0.254786i	0.928093	−	0.0179267i
$203$	9.62142	+	13.2428i	0.675292	+	0.929459i
$204$	−17.6157	+	6.08663i	−1.23335	+	0.426149i
$205$	−2.24529	−	6.52664i	−0.156818	−	0.455840i
$206$	0.900811	+	1.19080i	0.0627625	+	0.0829671i
$207$	−7.99497	−	11.9897i	−0.555688	−	0.833344i
$208$	−14.2824	−	3.44834i	−0.990305	−	0.239100i
$209$	−9.27812	−	3.01465i	−0.641781	−	0.208527i
$210$	−0.267806	−	16.3427i	−0.0184804	−	1.12775i
$211$	1.78027	−	0.578445i	0.122559	−	0.0398218i	−0.247095	−	0.968991i	$-0.579476\pi$
$211$	1.78027	−	0.578445i	0.122559	−	0.0398218i	0.369654	+	0.929169i	$0.379476\pi$
$212$	10.5635	−	8.31659i	0.725505	−	0.571186i
$213$	0.0128246	−	0.637776i	0.000878728	−	0.0436997i
$214$	−9.77800	+	0.188868i	−0.668410	+	0.0129108i
$215$	−12.1560	−	16.1408i	−0.829030	−	1.10079i
$216$	−4.57482	+	13.9668i	−0.311277	+	0.950319i
$217$	−7.75178	+	10.6694i	−0.526225	+	0.724287i
$218$	−14.7807	−	4.48887i	−1.00108	−	0.304025i
$219$	3.99859	−	11.5135i	0.270200	−	0.778008i
$220$	7.74918	−	12.0232i	0.522450	−	0.810601i
$221$	−11.6162	−	15.9883i	−0.781388	−	1.07549i
$222$	−10.2162	−	14.0848i	−0.685663	−	0.945309i
$223$	−0.737230	−	2.26896i	−0.0493686	−	0.151941i	0.923333	−	0.384000i	$-0.125454\pi$
$223$	−0.737230	−	2.26896i	−0.0493686	−	0.151941i	−0.972702	+	0.232059i	$0.925454\pi$
$224$	1.62759	+	16.8022i	0.108748	+	1.12265i
$225$	14.9997	+	0.0878323i	0.999983	+	0.00585548i
$226$	7.47008	+	2.26865i	0.496902	+	0.150908i
$227$	19.9115	−	6.46965i	1.32158	−	0.429406i	0.438540	−	0.898712i	$-0.355496\pi$
$227$	19.9115	−	6.46965i	1.32158	−	0.429406i	0.883036	+	0.469306i	$0.155496\pi$
$228$	3.45053	+	9.98643i	0.228517	+	0.661368i
$229$	0.356768	−	0.259207i	0.0235759	−	0.0171289i	−0.575935	−	0.817496i	$-0.695362\pi$
$229$	0.356768	−	0.259207i	0.0235759	−	0.0171289i	0.599511	+	0.800367i	$0.295362\pi$
$230$	8.47439	−	12.6068i	0.558785	−	0.831271i
$231$	−15.6170	−	5.42373i	−1.02752	−	0.356855i
$232$	12.0026	−	9.83089i	0.788008	−	0.645429i
$233$	−14.2912	−	10.3832i	−0.936247	−	0.680223i	0.0112673	−	0.999937i	$-0.496413\pi$
$233$	−14.2912	−	10.3832i	−0.936247	−	0.680223i	−0.947514	+	0.319713i	$0.896413\pi$
$234$	−15.5806	−	0.325652i	−1.01854	−	0.0212885i
$235$	−3.15887	+	10.3220i	−0.206062	+	0.673335i
$236$	2.33948	−	8.27479i	0.152287	−	0.538643i
$237$	25.7205	+	0.517196i	1.67072	+	0.0335955i
$238$	−12.9889	+	18.6236i	−0.841943	+	1.20719i
$239$	−7.50836	−	23.1084i	−0.485675	−	1.49476i	−0.831000	−	0.556272i	$-0.812231\pi$
$239$	−7.50836	−	23.1084i	−0.485675	−	1.49476i	0.345325	−	0.938483i	$-0.387769\pi$
$240$	−15.4492	+	1.15038i	−0.997239	+	0.0742567i
$241$	−4.03216	+	12.4097i	−0.259735	+	0.799381i	0.733125	+	0.680094i	$0.238061\pi$
$241$	−4.03216	+	12.4097i	−0.259735	+	0.799381i	−0.992860	+	0.119287i	$0.961939\pi$
$242$	0.656697	+	0.868102i	0.0422141	+	0.0558037i
$243$	−1.56444	+	15.5098i	−0.100359	+	0.994951i
$244$	−8.78217	−	23.8524i	−0.562221	−	1.52699i
$245$	−2.56280	−	3.40290i	−0.163731	−	0.217404i
$246$	4.43929	+	6.12035i	0.283039	+	0.390219i
$247$	−9.06381	+	6.58524i	−0.576717	+	0.419009i
$248$	10.5211	+	6.74935i	0.668094	+	0.428584i
$249$	−1.89778	−	6.26676i	−0.120267	−	0.397140i
$250$	5.93820	+	14.6539i	0.375565	+	0.926796i
$251$	−25.1746			−1.58901			−0.794503	−	0.607260i	$-0.792269\pi$
$251$	−25.1746			−1.58901			−0.794503	+	0.607260i	$0.792269\pi$
$252$	5.50592	+	17.0373i	0.346840	+	1.07325i
$253$	−9.03092	−	12.4300i	−0.567769	−	0.781467i
$254$	7.13742	−	2.47247i	0.447841	−	0.155136i
$255$	−16.8220	−	12.2973i	−1.05343	−	0.770086i
$256$	15.8094	−	2.46227i	0.988088	−	0.153892i
$257$	−7.72690			−0.481991			−0.240995	−	0.970526i	$-0.577474\pi$
$257$	−7.72690			−0.481991			−0.240995	+	0.970526i	$0.577474\pi$
$258$	17.8971	+	13.0247i	1.11423	+	0.810883i
$259$	−20.1602	−	6.55043i	−1.25269	−	0.407024i
$260$	−5.93970	−	15.3156i	−0.368365	−	0.949831i
$261$	10.1999	−	12.9135i	0.631359	−	0.799326i
$262$	−7.00535	+	10.0444i	−0.432792	+	0.620545i
$263$	−30.8101	−	10.0108i	−1.89983	−	0.617293i	−0.965048	−	0.262074i	$-0.915594\pi$
$263$	−30.8101	−	10.0108i	−1.89983	−	0.617293i	−0.934783	−	0.355219i	$-0.884406\pi$
$264$	−4.27494	+	15.0749i	−0.263104	+	0.927795i
$265$	14.3734	+	4.39871i	0.882948	+	0.270210i
$266$	10.5578	+	7.36343i	0.647341	+	0.451481i
$267$	6.11125	−	17.5966i	0.374002	−	1.07689i
$268$	21.9426	+	14.6820i	1.34035	+	0.896844i
$269$	−3.12100	+	4.29569i	−0.190291	+	0.261913i	−0.893493	−	0.449077i	$-0.851753\pi$
$269$	−3.12100	+	4.29569i	−0.190291	+	0.261913i	0.703202	+	0.710990i	$0.251753\pi$
$270$	−15.7440	+	4.70393i	−0.958148	+	0.286272i
$271$	−7.62188	−	10.4906i	−0.462996	−	0.637260i	0.512130	−	0.858908i	$-0.328856\pi$
$271$	−7.62188	−	10.4906i	−0.462996	−	0.637260i	−0.975127	+	0.221648i	$0.928856\pi$
$272$	18.3351	+	11.2682i	1.11173	+	0.683237i
$273$	−15.5809	+	10.8484i	−0.943001	+	0.656576i
$274$	0.0433451	+	0.0131638i	0.00261858	+	0.000795256i
$275$	15.9830	−	0.549323i	0.963811	−	0.0331254i
$276$	−4.84814	+	15.9183i	−0.291824	+	0.958170i
$277$	9.22361	−	2.99693i	0.554193	−	0.180068i	−0.0185137	−	0.999829i	$-0.505893\pi$
$277$	9.22361	−	2.99693i	0.554193	−	0.180068i	0.572707	+	0.819760i	$0.305893\pi$
$278$	8.74256	+	25.2377i	0.524344	+	1.51365i
$279$	12.4344	+	4.60059i	0.744427	+	0.275430i
$280$	−14.3933	+	12.2081i	−0.860165	+	0.729574i
$281$	−15.5308	+	21.3764i	−0.926492	+	1.27521i	0.0347196	+	0.999397i	$0.488946\pi$
$281$	−15.5308	+	21.3764i	−0.926492	+	1.27521i	−0.961212	+	0.275810i	$0.911054\pi$
$282$	0.00936999	−	11.8249i	0.000557975	−	0.704160i
$283$	−13.6277	−	9.90113i	−0.810085	−	0.588561i	0.103771	−	0.994601i	$-0.466909\pi$
$283$	−13.6277	−	9.90113i	−0.810085	−	0.588561i	−0.913855	+	0.406040i	$0.866909\pi$
$284$	−0.578750	+	0.455646i	−0.0343425	+	0.0270376i
$285$	−6.97138	+	9.53644i	−0.412949	+	0.564890i
$286$	−16.6120	+	0.320871i	−0.982288	+	0.0189735i
$287$	8.76032	+	2.84640i	0.517105	+	0.168018i
$288$	15.8190	−	6.14495i	0.932141	−	0.362095i
$289$	3.69176	+	11.3621i	0.217163	+	0.668358i
$290$	16.6816	+	4.75479i	0.979580	+	0.279211i
$291$	2.78343	+	0.0559701i	0.163168	+	0.00328103i
$292$	−13.2068	+	4.86260i	−0.772870	+	0.284562i
$293$	22.0891			1.29046			0.645230	−	0.763988i	$-0.276762\pi$
$293$	22.0891			1.29046			0.645230	+	0.763988i	$0.276762\pi$
$294$	3.77319	+	2.74596i	0.220057	+	0.160147i
$295$	9.09120	−	3.12755i	0.529310	−	0.182093i
$296$	−5.09169	+	19.4356i	−0.295949	+	1.12967i
$297$	−1.00185	+	16.5896i	−0.0581331	+	0.962626i
$298$	−21.2902	+	0.411233i	−1.23331	+	0.0238221i
$299$	−17.6446			−1.02042
$300$	−10.9071	−	13.4549i	−0.629722	−	0.776821i
$301$	26.9663			1.55431
$302$	−3.15376	+	0.0609168i	−0.181478	+	0.00350537i
$303$	−12.8787	−	9.75846i	−0.739862	−	0.560609i
$304$	6.38801	−	10.3942i	0.366377	−	0.596150i
$305$	16.3063	−	23.2741i	0.933693	−	1.33267i
$306$	21.5570	+	7.50584i	1.23233	+	0.429080i
$307$	22.4922			1.28370			0.641848	−	0.766832i	$-0.278168\pi$
$307$	22.4922			1.28370			0.641848	+	0.766832i	$0.278168\pi$
$308$	6.59568	+	17.9139i	0.375824	+	1.02074i
$309$	0.0367650	−	1.82835i	0.00209149	−	0.104011i
$310$	0.509862	+	13.9660i	0.0289582	+	0.793218i
$311$	−0.349880	−	1.07682i	−0.0198399	−	0.0610609i	0.940646	−	0.339388i	$-0.110220\pi$
$311$	−0.349880	−	1.07682i	−0.0198399	−	0.0610609i	−0.960486	+	0.278327i	$0.910220\pi$
$312$	11.1202	+	14.1477i	0.629559	+	0.800954i
$313$	17.9784	+	5.84155i	1.01620	+	0.330184i	0.769321	−	0.638862i	$-0.220595\pi$
$313$	17.9784	+	5.84155i	1.01620	+	0.330184i	0.246880	+	0.969046i	$0.420595\pi$
$314$	−5.37615	+	0.103844i	−0.303394	+	0.00586024i
$315$	−12.1363	+	15.9198i	−0.683804	+	0.896981i
$316$	−18.3754	−	23.3400i	−1.03370	−	1.31298i
$317$	−9.20189	−	6.68556i	−0.516830	−	0.375499i	0.298579	−	0.954385i	$-0.403487\pi$
$317$	−9.20189	−	6.68556i	−0.516830	−	0.375499i	−0.815408	+	0.578886i	$0.803487\pi$
$318$	−16.4660	−	0.0130476i	−0.923369	−	0.000731676i
$319$	10.3125	−	14.1939i	0.577389	−	0.794707i
$320$	12.3416	+	12.9493i	0.689918	+	0.723888i
$321$	9.54673	+	7.23376i	0.532847	+	0.403749i
$322$	6.63567	+	19.1556i	0.369791	+	1.06750i
$323$	15.6069	−	5.07098i	0.868390	−	0.282157i
$324$	14.9917	−	9.96243i	0.832870	−	0.553468i
$325$	10.2785	−	15.2204i	0.570149	−	0.844277i
$326$	8.42996	+	2.56016i	0.466893	+	0.141794i
$327$	10.8104	+	15.5263i	0.597814	+	0.858605i
$328$	2.21253	−	8.44547i	0.122166	−	0.466323i
$329$	−8.46758	−	11.6546i	−0.466833	−	0.642540i
$330$	−16.5705	+	5.68588i	−0.912174	+	0.312997i
$331$	4.63604	−	6.38097i	0.254820	−	0.350730i	−0.662372	−	0.749175i	$-0.730450\pi$
$331$	4.63604	−	6.38097i	0.254820	−	0.350730i	0.917192	+	0.398445i	$0.130450\pi$
$332$	−4.20458	+	6.28384i	−0.230756	+	0.344871i
$333$	−0.856680	+	21.2930i	−0.0469458	+	1.16685i
$334$	−17.0761	−	11.9096i	−0.934365	−	0.651663i
$335$	0.507026	+	29.5133i	0.0277018	+	1.61249i
$336$	11.1772	−	17.3930i	0.609764	−	0.948868i
$337$	−32.5632	−	10.5804i	−1.77383	−	0.576352i	−0.775353	−	0.631528i	$-0.782428\pi$
$337$	−32.5632	−	10.5804i	−1.77383	−	0.576352i	−0.998477	+	0.0551758i	$0.982428\pi$
$338$	−0.398307	+	0.571099i	−0.0216650	+	0.0310637i
$339$	−5.46349	−	7.84688i	−0.296736	−	0.426184i
$340$	1.34202	+	24.0236i	0.0727810	+	1.30286i
$341$	13.4435	+	4.36807i	0.728008	+	0.236544i
$342$	4.25509	−	12.2207i	0.230089	−	0.660822i
$343$	−15.2038			−0.820929
$344$	−1.48006	−	25.5162i	−0.0797993	−	1.37574i
$345$	−17.7105	+	5.69723i	−0.953504	+	0.306729i
$346$	−17.9355	+	6.21304i	−0.964221	+	0.334015i
$347$	−16.0694	−	22.1176i	−0.862649	−	1.18733i	−0.980931	−	0.194355i	$-0.937739\pi$
$347$	−16.0694	−	22.1176i	−0.862649	−	1.18733i	0.118282	−	0.992980i	$-0.462261\pi$
$348$	−18.9984	+	0.351906i	−1.01842	+	0.0188641i
$349$	−1.86615			−0.0998927			−0.0499463	−	0.998752i	$-0.515905\pi$
$349$	−1.86615			−0.0998927			−0.0499463	+	0.998752i	$0.515905\pi$
$350$	−20.3892	−	5.43468i	−1.08985	−	0.290496i
$351$	14.7369	+	12.1291i	0.786599	+	0.647406i
$352$	16.5886	−	7.22422i	0.884174	−	0.385052i
$353$	−18.5851	+	13.5029i	−0.989186	+	0.718686i	−0.959743	−	0.280881i	$-0.909373\pi$
$353$	−18.5851	+	13.5029i	−0.989186	+	0.718686i	−0.0294433	+	0.999566i	$0.509373\pi$
$354$	−8.52527	+	6.18366i	−0.453113	+	0.328658i
$355$	−0.787481	−	0.240994i	−0.0417952	−	0.0127907i
$356$	−20.1846	+	7.43175i	−1.06978	+	0.393882i
$357$	26.6151	−	8.05992i	1.40862	−	0.426576i
$358$	0.999746	+	1.32159i	0.0528382	+	0.0698480i
$359$	1.62712	−	5.00777i	0.0858763	−	0.264300i	−0.898892	−	0.438169i	$-0.855627\pi$
$359$	1.62712	−	5.00777i	0.0858763	−	0.264300i	0.984769	+	0.173869i	$0.0556270\pi$
$360$	15.7299	+	10.6099i	0.829037	+	0.559193i
$361$	2.99656	+	9.22248i	0.157714	+	0.485393i
$362$	8.30081	−	11.9018i	0.436281	−	0.625547i
$363$	0.0268019	−	1.33288i	0.00140674	−	0.0699579i
$364$	21.0958	+	5.96428i	1.10572	+	0.312613i
$365$	−12.8866	−	9.02861i	−0.674517	−	0.472579i
$366$	−9.64324	+	29.5990i	−0.504060	+	1.54716i
$367$	−1.30955	−	0.951446i	−0.0683581	−	0.0496651i	0.553081	−	0.833127i	$-0.313452\pi$
$367$	−1.30955	−	0.951446i	−0.0683581	−	0.0496651i	−0.621440	+	0.783462i	$0.713452\pi$
$368$	17.7613	−	7.33021i	0.925873	−	0.382114i
$369$	0.372259	−	9.25259i	0.0193790	−	0.481671i
$370$	−21.0961	+	7.71622i	−1.09673	+	0.401147i
$371$	−16.2290	+	11.7910i	−0.842567	+	0.612161i
$372$	−4.99965	−	14.4698i	−0.259220	−	0.750226i
$373$	1.11814	−	0.363305i	0.0578950	−	0.0188112i	−0.279926	−	0.960021i	$-0.590310\pi$
$373$	1.11814	−	0.363305i	0.0578950	−	0.0188112i	0.337821	+	0.941210i	$0.390310\pi$
$374$	23.2864	+	7.07203i	1.20411	+	0.365686i
$375$	5.40242	−	18.5961i	0.278980	−	0.960297i
$376$	−10.5632	+	8.65193i	−0.544754	+	0.446189i
$377$	−6.22625	−	19.1624i	−0.320668	−	0.986915i
$378$	7.62563	−	20.5603i	0.392220	−	1.05751i
$379$	7.79303	+	10.7262i	0.400301	+	0.550967i	0.960820	−	0.277175i	$-0.0893981\pi$
$379$	7.79303	+	10.7262i	0.400301	+	0.550967i	−0.560518	+	0.828142i	$0.689398\pi$
$380$	13.6191	−	0.760793i	0.698644	−	0.0390279i
$381$	−8.73911	−	3.03507i	−0.447718	−	0.155491i
$382$	24.0267	+	7.29687i	1.22931	+	0.373340i
$383$	0.734824	−	1.01140i	0.0375478	−	0.0516801i	−0.789830	−	0.613325i	$-0.789831\pi$
$383$	0.734824	−	1.01140i	0.0375478	−	0.0516801i	0.827378	+	0.561645i	$0.189831\pi$
$384$	−17.0712	−	9.62150i	−0.871162	−	0.490995i
$385$	−12.2465	+	17.4796i	−0.624139	+	0.890841i
$386$	7.32277	−	0.141444i	0.372719	−	0.00719930i
$387$	−7.33405	−	26.0986i	−0.372811	−	1.32667i
$388$	−1.98856	−	2.52582i	−0.100954	−	0.128229i
$389$	−18.1820	+	5.90770i	−0.921866	+	0.299533i	−0.731232	−	0.682129i	$-0.761054\pi$
$389$	−18.1820	+	5.90770i	−0.921866	+	0.299533i	−0.190634	+	0.981661i	$0.561054\pi$
$390$	−5.90274	+	19.2335i	−0.298897	+	0.973927i
$391$	24.5796	+	7.98641i	1.24305	+	0.403890i
$392$	−0.312035	−	5.37950i	−0.0157602	−	0.271706i
$393$	14.3545	−	4.34700i	0.724087	−	0.219277i
$394$	−9.60686	−	12.6995i	−0.483987	−	0.639793i
$395$	9.71891	−	31.7578i	0.489011	−	1.59791i
$396$	15.5436	−	11.2555i	0.781097	−	0.565611i
$397$	−16.1062	−	22.1683i	−0.808346	−	1.11259i	−0.991576	−	0.129523i	$-0.958655\pi$
$397$	−16.1062	−	22.1683i	−0.808346	−	1.11259i	0.183230	−	0.983070i	$-0.441345\pi$
$398$	−30.9249	+	0.597334i	−1.55013	+	0.0299417i
$399$	−4.56920	−	15.0882i	−0.228746	−	0.755354i
$400$	−4.02337	+	19.5911i	−0.201169	+	0.979557i
$401$		−	1.15220i		−	0.0575379i	−0.999586	−	0.0287690i	$-0.990841\pi$
$401$		−	1.15220i		−	0.0575379i	0.999586	−	0.0287690i	$-0.00915871\pi$
$402$	−9.96770	−	30.7603i	−0.497144	−	1.53419i
$403$	13.1330	−	9.54168i	0.654201	−	0.475305i
$404$	0.720510	+	18.6440i	0.0358467	+	0.927574i
$405$	18.7083	+	7.41609i	0.929624	+	0.368508i
$406$	−18.4618	+	13.9659i	−0.916245	+	0.693115i
$407$			22.7202i			1.12620i
$408$	−9.08730	−	24.7415i	−0.449888	−	1.22489i
$409$	−10.4124	+	32.0460i	−0.514860	+	1.58458i	0.268677	+	0.963230i	$0.413413\pi$
$409$	−10.4124	+	32.0460i	−0.514860	+	1.58458i	−0.783537	+	0.621345i	$0.786587\pi$
$410$	9.16702	−	3.35298i	0.452727	−	0.165592i
$411$	−0.0317019	−	0.0455315i	−0.00156374	−	0.00224591i
$412$	−1.65913	+	1.30622i	−0.0817396	+	0.0643530i
$413$	−3.96486	+	12.2026i	−0.195098	+	0.600450i
$414$	16.7345	−	11.6319i	0.822457	−	0.571678i
$415$	−8.45195	+	0.145201i	−0.414890	+	0.00712762i
$416$	4.48571	−	20.2887i	0.219930	−	0.994738i
$417$	10.7319	−	30.9012i	0.525543	−	1.51324i
$418$	4.00916	−	13.2011i	0.196094	−	0.645689i
$419$	10.2361	+	7.43697i	0.500067	+	0.363320i	0.809042	−	0.587750i	$-0.199986\pi$
$419$	10.2361	+	7.43697i	0.500067	+	0.363320i	−0.308976	+	0.951070i	$0.599986\pi$
$420$	23.1004	−	0.825004i	1.12718	−	0.0402561i
$421$	−0.246632	+	0.179189i	−0.0120201	+	0.00873313i	−0.593779	−	0.804628i	$-0.702365\pi$
$421$	−0.246632	+	0.179189i	−0.0120201	+	0.00873313i	0.581759	+	0.813361i	$0.302365\pi$
$422$	0.866514	+	2.50141i	0.0421812	+	0.121767i
$423$	−8.97669	+	11.3649i	−0.436462	+	0.552578i
$424$	12.0477	+	14.7091i	0.585090	+	0.714339i
$425$	−21.2075	+	16.5503i	−1.02871	+	0.802808i
$426$	0.902134		0.000714849i	0.0437085		3.46345e-5i
$427$	11.7195	+	36.0690i	0.567147	+	1.74550i
$428$	−0.534100	−	13.8204i	−0.0258167	−	0.668036i
$429$	16.2191	+	12.2896i	0.783066	+	0.593345i
$430$	22.4902	−	17.6288i	1.08458	−	0.850134i
$431$	−8.71898	−	6.33471i	−0.419979	−	0.305132i	0.357651	−	0.933855i	$-0.383578\pi$
$431$	−8.71898	−	6.33471i	−0.419979	−	0.305132i	−0.777629	+	0.628723i	$0.783578\pi$
$432$	−19.8733	−	6.08711i	−0.956153	−	0.292866i
$433$	14.7065	−	20.2418i	0.706749	−	0.972757i	−0.293112	−	0.956078i	$-0.594691\pi$
$433$	14.7065	−	20.2418i	0.706749	−	0.972757i	0.999861	−	0.0166788i	$-0.00530926\pi$
$434$	−15.2977	−	10.6692i	−0.734314	−	0.512140i
$435$	−12.4368	−	17.2236i	−0.596300	−	0.825810i
$436$	5.94336	−	21.0218i	0.284635	−	1.00676i
$437$	4.52752	−	13.9343i	0.216581	−	0.666567i
$438$	16.3887	+	5.33936i	0.783081	+	0.255125i
$439$	−15.0223	+	4.88104i	−0.716975	+	0.232959i	−0.644711	−	0.764426i	$-0.723022\pi$
$439$	−15.0223	+	4.88104i	−0.716975	+	0.232959i	−0.0722639	+	0.997386i	$0.523022\pi$
$440$	17.2118	+	10.6286i	0.820540	+	0.506698i
$441$	−1.54621	−	5.50228i	−0.0736292	−	0.262013i
$442$	22.2894	−	16.8613i	1.06020	−	0.802012i
$443$			36.9325i			1.75472i	0.479835	+	0.877359i	$0.340697\pi$
$443$			36.9325i			1.75472i	−0.479835	+	0.877359i	$0.659303\pi$
$444$	19.6362	−	14.8298i	0.931891	−	0.703791i
$445$	−19.6953	−	13.7989i	−0.933646	−	0.654129i
$446$	3.18806	−	1.10438i	0.150959	−	0.0522937i
$447$	20.7866	+	15.7505i	0.983174	+	0.744972i
$448$	−23.7131	+	2.76022i	−1.12034	+	0.130408i
$449$			0.911264i			0.0430052i	0.999769	+	0.0215026i	$0.00684502\pi$
$449$			0.911264i			0.0430052i	−0.999769	+	0.0215026i	$0.993155\pi$
$450$	0.285472	+	21.2113i	0.0134573	+	0.999909i
$451$		−	9.87274i		−	0.464889i
$452$	−3.00374	+	10.6243i	−0.141284	+	0.499724i
$453$	3.07917	+	2.33315i	0.144672	+	0.109621i
$454$	9.69158	+	27.9772i	0.454848	+	1.31304i
$455$	7.97340	+	23.1772i	0.373799	+	1.08656i
$456$	−14.0261	+	5.15162i	−0.656831	+	0.241247i
$457$		−	4.46903i		−	0.209052i	−0.994522	−	0.104526i	$-0.966667\pi$
$457$		−	4.46903i		−	0.209052i	0.994522	−	0.104526i	$-0.0333326\pi$
$458$	0.376250	+	0.497373i	0.0175810	+	0.0232407i
$459$	−15.0391	−	23.5667i	−0.701967	−	1.10000i
$460$	18.0569	+	11.6381i	0.841907	+	0.542627i
$461$	−13.5008	+	4.38667i	−0.628794	+	0.204308i	−0.606041	−	0.795434i	$-0.707243\pi$
$461$	−13.5008	+	4.38667i	−0.628794	+	0.204308i	−0.0227533	+	0.999741i	$0.507243\pi$
$462$	7.24236	−	22.2298i	0.336945	−	1.03422i
$463$	4.14119	−	12.7453i	0.192457	−	0.592323i	−0.807539	−	0.589814i	$-0.799201\pi$
$463$	4.14119	−	12.7453i	0.192457	−	0.592323i	0.999997	−	0.00250947i	$-0.000798790\pi$
$464$	14.2282	+	16.7025i	0.660527	+	0.775396i
$465$	10.1012	−	13.8178i	0.468431	−	0.640786i
$466$	14.2910	−	20.4906i	0.662016	−	0.949209i
$467$	9.20556	−	12.6704i	0.425982	−	0.586314i	−0.541043	−	0.840995i	$-0.681970\pi$
$467$	9.20556	−	12.6704i	0.425982	−	0.586314i	0.967025	+	0.254681i	$0.0819703\pi$
$468$	0.0349275	−	22.0391i	0.00161453	−	1.01876i
$469$	−31.8695	−	23.1546i	−1.47160	−	1.06918i
$470$	−14.6811	−	4.18458i	−0.677189	−	0.193020i
$471$	5.24900	+	3.97727i	0.241861	+	0.183263i
$472$	11.7640	+	3.08191i	0.541483	+	0.141857i
$473$	−8.93156	−	27.4885i	−0.410673	−	1.26392i
$474$	−0.0288287	+	36.3816i	−0.00132415	+	1.67106i
$475$	9.38243	+	12.0226i	0.430495	+	0.551635i
$476$	−26.6876	−	17.8570i	−1.22323	−	0.818472i
$477$	15.8255	+	12.5000i	0.724599	+	0.572335i
$478$	32.4690	−	11.2476i	1.48510	−	0.514452i
$479$	17.8596	−	12.9758i	0.816027	−	0.592878i	−0.0995446	−	0.995033i	$-0.531739\pi$
$479$	17.8596	−	12.9758i	0.816027	−	0.592878i	0.915572	+	0.402155i	$0.131739\pi$
$480$	−2.04852	−	21.8129i	−0.0935016	−	0.995619i
$481$	21.1090	+	15.3366i	0.962489	+	0.699290i
$482$	−17.6569	−	5.36235i	−0.804248	−	0.244248i
$483$	8.14559	−	23.4542i	0.370637	−	1.06721i
$484$	−1.20952	+	0.952246i	−0.0549781	+	0.0432839i
$485$	1.05177	−	3.43678i	0.0477582	−	0.156056i
$486$	−21.9727	−	1.78845i	−0.996704	−	0.0811256i
$487$	−9.91484	+	30.5147i	−0.449284	+	1.38275i	0.428432	+	0.903574i	$0.359066\pi$
$487$	−9.91484	+	30.5147i	−0.449284	+	1.38275i	−0.877716	+	0.479180i	$0.840934\pi$
$488$	33.4862	−	13.0690i	1.51585	−	0.591605i
$489$	−6.16553	−	8.85519i	−0.278815	−	0.400445i
$490$	4.74154	−	3.71661i	0.214201	−	0.167899i
$491$	−6.08890	+	18.7397i	−0.274788	+	0.845711i	0.714487	+	0.699648i	$0.246660\pi$
$491$	−6.08890	+	18.7397i	−0.274788	+	0.845711i	−0.989275	+	0.146062i	$0.953340\pi$
$492$	−8.53263	+	6.44409i	−0.384680	+	0.290522i
$493$			29.5121i			1.32916i
$494$	−9.55875	−	12.6359i	−0.430068	−	0.568517i
$495$	20.2478	+	7.09851i	0.910073	+	0.319055i
$496$	−9.25590	+	15.0607i	−0.415602	+	0.676246i
$497$	0.889147	−	0.646003i	0.0398837	−	0.0289772i
$498$	8.80906	−	2.85452i	0.394743	−	0.127914i
$499$		−	29.1403i		−	1.30450i	−0.758004	−	0.652250i	$-0.773825\pi$
$499$		−	29.1403i		−	1.30450i	0.758004	−	0.652250i	$-0.226175\pi$
$500$	−20.5577	+	8.79654i	−0.919370	+	0.393393i
$501$	7.39020	+	24.4036i	0.330170	+	1.09027i
$502$	−0.687552	−	35.5956i	−0.0306869	−	1.58871i
$503$	7.88466	+	10.8523i	0.351560	+	0.483880i	0.947773	−	0.318946i	$-0.103329\pi$
$503$	7.88466	+	10.8523i	0.351560	+	0.483880i	−0.596213	+	0.802826i	$0.703329\pi$
$504$	−23.9395	+	8.25041i	−1.06635	+	0.367502i
$505$	−16.6632	+	12.5494i	−0.741501	+	0.558441i
$506$	17.3287	−	13.1087i	0.770356	−	0.582755i
$507$	0.816159	−	0.247160i	0.0362469	−	0.0109768i
$508$	3.69088	+	10.0244i	0.163756	+	0.444762i
$509$	33.1163	+	10.7601i	1.46785	+	0.476934i	0.930459	−	0.366397i	$-0.119409\pi$
$509$	33.1163	+	10.7601i	1.46785	+	0.476934i	0.537394	+	0.843331i	$0.319409\pi$
$510$	16.9283	−	24.1213i	0.749598	−	1.06811i
$511$	19.9710	−	6.48898i	0.883466	−	0.287056i
$512$	3.91330	+	22.2865i	0.172945	+	0.984931i
$513$	−13.3600	+	8.52574i	−0.589860	+	0.376421i
$514$	−0.211032	−	10.9254i	−0.00930821	−	0.481901i
$515$	−2.25751	−	0.690871i	−0.0994780	−	0.0304434i
$516$	−17.9275	+	25.6614i	−0.789214	+	1.12968i
$517$	−9.07577	+	12.4917i	−0.399152	+	0.549385i
$518$	8.71138	−	28.6843i	0.382756	−	1.26032i
$519$	21.9604	+	7.62679i	0.963956	+	0.334779i
$520$	21.4932	−	8.81673i	0.942540	−	0.386639i
$521$	−1.07923	−	1.48543i	−0.0472818	−	0.0650778i	0.784721	−	0.619849i	$-0.212806\pi$
$521$	−1.07923	−	1.48543i	−0.0472818	−	0.0650778i	−0.832003	+	0.554771i	$0.812806\pi$
$522$	18.5376	+	14.0695i	0.811369	+	0.615804i
$523$	6.32750	+	19.4740i	0.276682	+	0.851540i	0.988769	+	0.149449i	$0.0477500\pi$
$523$	6.32750	+	19.4740i	0.276682	+	0.851540i	−0.712087	+	0.702091i	$0.752250\pi$
$524$	−14.3936	−	9.63089i	−0.628787	−	0.420728i
$525$	15.4868	+	20.6892i	0.675899	+	0.902952i
$526$	13.3133	−	43.8373i	0.580488	−	1.91140i
$527$	−22.6136	+	7.34760i	−0.985063	+	0.320066i
$528$	−21.4319	−	5.63283i	−0.932703	−	0.245137i
$529$	0.0605006	−	0.0439563i	0.00263046	−	0.00191114i
$530$	−5.82699	+	20.4433i	−0.253108	+	0.888002i
$531$	12.8883	+	0.518533i	0.559304	+	0.0225024i
$532$	−10.1232	+	15.1293i	−0.438895	+	0.655939i
$533$	−9.17264	−	6.66432i	−0.397311	−	0.288664i
$534$	25.0476	+	8.16041i	1.08392	+	0.353136i
$535$	12.3521	−	9.30262i	0.534026	−	0.402187i
$536$	−20.1603	+	31.4266i	−0.870792	+	1.35742i
$537$	0.0408029	−	2.02915i	0.00176077	−	0.0875644i
$538$	−6.15914	−	4.29562i	−0.265539	−	0.185197i
$539$	−1.88301	−	5.79531i	−0.0811070	−	0.249622i
$540$	−7.08110	−	22.1327i	−0.304722	−	0.952441i
$541$	8.96438	−	27.5895i	0.385409	−	1.18617i	−0.550774	−	0.834654i	$-0.685667\pi$
$541$	8.96438	−	27.5895i	0.385409	−	1.18617i	0.936183	−	0.351513i	$-0.114333\pi$
$542$	14.6250	−	11.0635i	0.628200	−	0.475217i
$543$	−17.0090	+	5.15087i	−0.729924	+	0.221045i
$544$	−15.4320	+	26.2326i	−0.661640	+	1.12472i
$545$	23.0959	−	7.94543i	0.989318	−	0.340345i
$546$	−15.7646	−	21.7344i	−0.674665	−	0.930145i
$547$	−25.3748	+	18.4359i	−1.08495	+	0.788261i	−0.978539	−	0.206061i	$-0.933935\pi$
$547$	−25.3748	+	18.4359i	−1.08495	+	0.788261i	−0.106410	+	0.994322i	$0.533935\pi$
$548$	−0.0174292	+	0.0616474i	−0.000744538	+	0.00263344i
$549$	31.7211	−	21.1522i	1.35382	−	0.902752i
$550$	1.21323	+	22.5841i	0.0517324	+	0.962991i
$551$	16.7305			0.712745
$552$	−22.6401	−	6.42028i	−0.963627	−	0.273265i
$553$	26.0522	+	35.8578i	1.10785	+	1.52483i
$554$	4.48942	+	12.9599i	0.190737	+	0.550612i
$555$	26.1399	+	8.57806i	1.10958	+	0.364118i
$556$	−35.4460	+	13.0508i	−1.50325	+	0.553478i
$557$	2.82932			0.119882			0.0599410	−	0.998202i	$-0.480909\pi$
$557$	2.82932			0.119882			0.0599410	+	0.998202i	$0.480909\pi$
$558$	−6.16540	+	17.7072i	−0.261002	+	0.749607i
$559$	−31.5682	−	10.2571i	−1.33519	−	0.433831i
$560$	−17.6548	−	20.0180i	−0.746050	−	0.845915i
$561$	−17.0313	−	24.4610i	−0.719060	−	1.03274i
$562$	−30.6493	−	21.3760i	−1.29286	−	0.901693i
$563$	−36.2818	−	11.7887i	−1.52909	−	0.496833i	−0.580751	−	0.814081i	$-0.697241\pi$
$563$	−36.2818	−	11.7887i	−1.52909	−	0.496833i	−0.948342	+	0.317249i	$0.897241\pi$
$564$	16.7200	−	0.309704i	0.704040	−	0.0130409i
$565$	−11.6725	+	4.01557i	−0.491066	+	0.168936i
$566$	13.6275	−	19.5393i	0.572807	−	0.821300i
$567$	−22.9260	+	13.9898i	−0.962802	+	0.587515i
$568$	−0.660067	−	0.805879i	−0.0276958	−	0.0338139i
$569$	−4.52865	+	6.23316i	−0.189851	+	0.261308i	−0.893323	−	0.449416i	$-0.851632\pi$
$569$	−4.52865	+	6.23316i	−0.189851	+	0.261308i	0.703472	+	0.710723i	$0.251632\pi$
$570$	−13.6744	−	9.59672i	−0.572759	−	0.401963i
$571$	10.2653	+	14.1289i	0.429588	+	0.591277i	0.967859	−	0.251495i	$-0.0809222\pi$
$571$	10.2653	+	14.1289i	0.429588	+	0.591277i	−0.538271	+	0.842772i	$0.680922\pi$
$572$	−0.907391	−	23.4798i	−0.0379399	−	0.981739i
$573$	−17.5727	−	25.2387i	−0.734111	−	1.05436i
$574$	−3.78541	+	12.4644i	−0.158000	+	0.520253i
$575$	0.824997	+	24.0039i	0.0344048	+	1.00103i
$576$	9.12069	+	22.1994i	0.380029	+	0.924975i
$577$	−1.52003	+	0.493887i	−0.0632796	+	0.0205608i	−0.340486	−	0.940250i	$-0.610592\pi$
$577$	−1.52003	+	0.493887i	−0.0632796	+	0.0205608i	0.277206	+	0.960810i	$0.410592\pi$
$578$	−15.9646	+	5.53028i	−0.664039	+	0.230029i
$579$	−7.14958	−	5.41738i	−0.297126	−	0.225139i
$580$	−6.26744	+	23.7169i	−0.260241	+	0.984789i
$581$	6.63094	−	9.12670i	0.275098	−	0.378639i
$582$	−0.00311979	+	3.93716i	−0.000129320	+	0.163200i
$583$	17.3946	+	12.6379i	0.720412	+	0.523410i
$584$	−7.23617	−	18.5410i	−0.299435	−	0.767231i
$585$	20.2629	−	14.0204i	0.837767	−	0.579671i
$586$	0.603283	+	31.2329i	0.0249214	+	1.29022i
$587$	−4.54692	−	1.47738i	−0.187672	−	0.0609782i	0.213673	−	0.976905i	$-0.431457\pi$
$587$	−4.54692	−	1.47738i	−0.187672	−	0.0609782i	−0.401345	+	0.915927i	$0.631457\pi$
$588$	−3.77959	+	5.41010i	−0.155868	+	0.223109i
$589$	4.16538	+	12.8197i	0.171631	+	0.528227i
$590$	4.67049	+	12.7691i	0.192281	+	0.525695i
$591$	−0.392087	+	19.4987i	−0.0161283	+	0.802071i
$592$	−27.6200	−	6.66859i	−1.13518	−	0.274077i
$593$	4.84301			0.198878			0.0994392	−	0.995044i	$-0.468295\pi$
$593$	4.84301			0.198878			0.0994392	+	0.995044i	$0.468295\pi$
$594$	−23.4842	−	0.963478i	−0.963569	−	0.0395320i
$595$	−0.616671	−	35.8956i	−0.0252810	−	1.47158i
$596$	−1.16293	−	30.0920i	−0.0476353	−	1.23262i
$597$	30.1935	+	22.8782i	1.23574	+	0.936344i
$598$	−0.481898	−	24.9486i	−0.0197063	−	1.02022i
$599$	−3.69697			−0.151054			−0.0755271	−	0.997144i	$-0.524064\pi$
$599$	−3.69697			−0.151054			−0.0755271	+	0.997144i	$0.524064\pi$
$600$	18.7267	−	15.7896i	0.764515	−	0.644606i
$601$	8.33312			0.339915			0.169958	−	0.985451i	$-0.445637\pi$
$601$	8.33312			0.339915			0.169958	+	0.985451i	$0.445637\pi$
$602$	0.736484	+	38.1289i	0.0300169	+	1.55402i
$603$	−13.7420	+	37.1415i	−0.559615	+	1.51252i
$604$	−0.172267	−	4.45759i	−0.00700943	−	0.181377i
$605$	−1.64574	−	0.503650i	−0.0669089	−	0.0204763i
$606$	13.4462	−	18.4764i	0.546216	−	0.750551i
$607$	−0.0647541			−0.00262829			−0.00131414	−	0.999999i	$-0.500418\pi$
$607$	−0.0647541			−0.00262829			−0.00131414	+	0.999999i	$0.500418\pi$
$608$	14.8714	+	8.74844i	0.603114	+	0.354796i
$609$	28.3461	+	0.569993i	1.14864	+	0.0230973i
$610$	33.3537	+	22.4206i	1.35045	+	0.907783i
$611$	5.47957	+	16.8644i	0.221680	+	0.682260i
$612$	−10.0241	+	30.6855i	−0.405201	+	1.24039i
$613$	3.58160	+	1.16373i	0.144659	+	0.0470027i	0.380452	−	0.924801i	$-0.375769\pi$
$613$	3.58160	+	1.16373i	0.144659	+	0.0470027i	−0.235792	+	0.971803i	$0.575769\pi$
$614$	0.614291	+	31.8028i	0.0247908	+	1.28346i
$615$	−11.3587	−	3.72748i	−0.458028	−	0.150306i
$616$	−25.1492	+	9.81521i	−1.01329	+	0.395466i
$617$	13.9434	+	10.1305i	0.561341	+	0.407838i	0.831949	−	0.554851i	$-0.187225\pi$
$617$	13.9434	+	10.1305i	0.561341	+	0.407838i	−0.270608	+	0.962689i	$0.587225\pi$
$618$	2.58620	+	0.00204930i	0.104032	+	8.24347e-5i
$619$	−12.4938	+	17.1963i	−0.502169	+	0.691177i	−0.982574	−	0.185870i	$-0.940490\pi$
$619$	−12.4938	+	17.1963i	−0.502169	+	0.691177i	0.480405	+	0.877047i	$0.340490\pi$
$620$	−19.7334	+	1.10235i	−0.792511	+	0.0442715i
$621$	−24.9150	−	1.50462i	−0.999803	−	0.0603782i
$622$	1.51301	−	0.524122i	0.0606664	−	0.0210154i
$623$	30.5227	−	9.91743i	1.22287	−	0.397333i
$624$	−19.7004	+	16.1098i	−0.788647	+	0.644910i
$625$	−21.1866	−	13.2713i	−0.847464	−	0.530853i
$626$	−7.76864	+	25.5801i	−0.310497	+	1.02239i
$627$	−13.8670	+	9.65508i	−0.553796	+	0.385587i
$628$	−0.293660	−	7.59877i	−0.0117183	−	0.303224i
$629$	−22.4640	−	30.9190i	−0.895696	−	1.23282i
$630$	−22.8413	−	16.7254i	−0.910019	−	0.666354i
$631$	−4.22858	+	5.82015i	−0.168337	+	0.231696i	−0.884848	−	0.465880i	$-0.845738\pi$
$631$	−4.22858	+	5.82015i	−0.168337	+	0.231696i	0.716511	+	0.697576i	$0.245738\pi$
$632$	32.4998	−	26.6194i	1.29277	−	1.05886i
$633$	1.06369	−	3.06275i	0.0422777	−	0.121733i
$634$	9.20174	−	13.1936i	0.365448	−	0.523985i
$635$	−6.85302	+	9.78139i	−0.271954	+	0.388163i
$636$	−0.431260	−	23.2825i	−0.0171006	−	0.923211i
$637$	−6.65543	−	2.16248i	−0.263698	−	0.0856805i
$638$	20.3511	+	14.1937i	0.805709	+	0.561933i
$639$	−0.867040	−	0.684844i	−0.0342996	−	0.0270920i
$640$	−17.9726	+	17.8041i	−0.710429	+	0.703769i
$641$	11.9017	+	3.86710i	0.470089	+	0.152741i	0.534476	−	0.845184i	$-0.320509\pi$
$641$	11.9017	+	3.86710i	0.470089	+	0.152741i	−0.0643867	+	0.997925i	$0.520509\pi$
$642$	−9.96744	+	13.6962i	−0.393383	+	0.540545i
$643$	−42.1401			−1.66184			−0.830921	−	0.556390i	$-0.812186\pi$
$643$	−42.1401			−1.66184			−0.830921	+	0.556390i	$0.812186\pi$
$644$	−26.9038	+	9.90567i	−1.06016	+	0.390338i
$645$	−34.9981	−	0.102466i	−1.37805	−	0.00403460i
$646$	7.59636	+	21.9289i	0.298875	+	0.862779i
$647$	11.0652	+	15.2299i	0.435016	+	0.598749i	0.969095	−	0.246686i	$-0.0793416\pi$
$647$	11.0652	+	15.2299i	0.435016	+	0.598749i	−0.534079	+	0.845434i	$0.679342\pi$
$648$	14.4958	+	20.9254i	0.569449	+	0.822026i
$649$	13.7521			0.539818
$650$	21.8016	+	14.1176i	0.855130	+	0.553738i
$651$	6.62054	+	21.8620i	0.259479	+	0.856840i
$652$	−3.38971	+	11.9895i	−0.132751	+	0.469544i
$653$	18.1201	−	13.1650i	0.709095	−	0.515187i	−0.173787	−	0.984783i	$-0.555600\pi$
$653$	18.1201	−	13.1650i	0.709095	−	0.515187i	0.882881	+	0.469596i	$0.155600\pi$
$654$	−21.6581	+	15.7093i	−0.846900	+	0.614284i
$655$	−0.332592	−	19.3598i	−0.0129955	−	0.756449i
$656$	12.0019	+	2.89774i	0.468596	+	0.113138i
$657$	−11.7117	−	17.5636i	−0.456919	−	0.685222i
$658$	16.2478	−	12.2910i	0.633405	−	0.479155i
$659$	−11.8262	+	36.3972i	−0.460682	+	1.41783i	0.403652	+	0.914913i	$0.367741\pi$
$659$	−11.8262	+	36.3972i	−0.460682	+	1.41783i	−0.864333	+	0.502919i	$0.832259\pi$
$660$	−8.49211	−	23.2745i	−0.330555	−	0.905959i
$661$	2.10508	+	6.47876i	0.0818780	+	0.251995i	0.983612	−	0.180296i	$-0.0577055\pi$
$661$	2.10508	+	6.47876i	0.0818780	+	0.251995i	−0.901734	+	0.432290i	$0.857706\pi$
$662$	9.14898	+	6.38086i	0.355585	+	0.247999i
$663$	−34.2229	−	0.688165i	−1.32911	−	0.0267261i
$664$	−8.99987	−	5.77345i	−0.349263	−	0.224053i
$665$	−20.3494	+	0.349593i	−0.789114	+	0.0135566i
$666$	−30.1307	−	0.629763i	−1.16754	−	0.0244028i
$667$	21.3170	+	15.4877i	0.825399	+	0.599688i
$668$	16.3732	−	24.4701i	0.633497	−	0.946776i
$669$	−3.90349	−	1.35567i	−0.150918	−	0.0524133i
$670$	−41.7165	+	1.52296i	−1.61165	+	0.0588370i
$671$	32.8858	−	23.8930i	1.26954	−	0.922378i
$672$	24.8981	+	15.3289i	0.960467	+	0.591325i
$673$	−5.26994	+	1.71231i	−0.203141	+	0.0660046i	−0.408820	−	0.912615i	$-0.634060\pi$
$673$	−5.26994	+	1.71231i	−0.203141	+	0.0660046i	0.205679	+	0.978620i	$0.434060\pi$
$674$	14.0708	−	46.3317i	0.541988	−	1.78463i
$675$	15.8116	−	20.6154i	0.608588	−	0.793487i
$676$	−0.818384	−	0.547589i	−0.0314763	−	0.0210611i
$677$	13.4443	+	41.3774i	0.516708	+	1.59026i	0.780153	+	0.625589i	$0.215141\pi$
$677$	13.4443	+	41.3774i	0.516708	+	1.59026i	−0.263445	+	0.964674i	$0.584859\pi$
$678$	10.9459	−	7.93941i	0.420374	−	0.304911i
$679$	2.81933	+	3.88048i	0.108196	+	0.148919i
$680$	−33.9316	+	2.55366i	−1.30122	+	0.0979284i
$681$	11.8969	−	34.2556i	0.455889	−	1.31268i
$682$	−5.80907	+	19.1278i	−0.222441	+	0.732440i
$683$	23.8490	−	32.8253i	0.912557	−	1.25603i	−0.0537294	−	0.998556i	$-0.517111\pi$
$683$	23.8490	−	32.8253i	0.912557	−	1.25603i	0.966286	−	0.257471i	$-0.0828892\pi$
$684$	17.3957	+	5.68271i	0.665143	+	0.217284i
$685$	−0.0677297	+	0.0233003i	−0.00258782	+	0.000890260i
$686$	−0.415237	−	21.4974i	−0.0158538	−	0.820776i
$687$	0.0153560	−	0.763662i	0.000585866	−	0.0291355i
$688$	36.0382	−	2.78961i	1.37394	−	0.106353i
$689$	23.4835	−	7.63026i	0.894651	−	0.290690i
$690$	−8.53930	−	24.8862i	−0.325086	−	0.947402i
$691$	−29.8137	−	9.68706i	−1.13417	−	0.368513i	−0.319009	−	0.947752i	$-0.603350\pi$
$691$	−29.8137	−	9.68706i	−1.13417	−	0.368513i	−0.815158	+	0.579239i	$0.803350\pi$
$692$	−9.27477	−	25.1903i	−0.352574	−	0.957590i
$693$	−23.8235	+	15.8859i	−0.904979	+	0.603456i
$694$	30.8343	−	23.3254i	1.17045	−	0.885418i
$695$	−34.5867	−	24.2320i	−1.31195	−	0.919174i
$696$	−1.01645	−	26.8531i	−0.0385284	−	1.01787i
$697$	9.76140	+	13.4354i	0.369739	+	0.508903i
$698$	−0.0509670	−	2.63864i	−0.00192913	−	0.0998740i
$699$	−29.2832	+	8.86791i	−1.10759	+	0.335415i
$700$	7.12751	−	28.9778i	0.269395	−	1.09526i
$701$		−	14.8261i		−	0.559973i	−0.960004	−	0.279987i	$-0.909670\pi$
$701$		−	14.8261i		−	0.559973i	0.960004	−	0.279987i	$-0.0903301\pi$
$702$	−16.7475	+	21.1685i	−0.632094	+	0.798955i
$703$	−17.5281	+	12.7349i	−0.661084	+	0.480306i
$704$	10.6677	+	23.2581i	0.402056	+	0.876572i
$705$	10.9453	+	15.1581i	0.412225	+	0.570887i
$706$	−19.6000	−	25.9096i	−0.737655	−	0.975122i
$707$		−	27.8390i		−	1.04699i
$708$	−8.97622	−	11.8854i	−0.337347	−	0.446682i
$709$	8.92404	−	27.4654i	0.335149	−	1.03148i	−0.631499	−	0.775377i	$-0.717560\pi$
$709$	8.92404	−	27.4654i	0.335149	−	1.03148i	0.966648	−	0.256107i	$-0.0824399\pi$
$710$	0.319247	−	1.12004i	0.0119811	−	0.0420344i
$711$	27.6186	−	34.9663i	1.03578	−	1.31134i
$712$	−11.0594	−	28.3371i	−0.414468	−	1.06198i
$713$	−6.56015	+	20.1901i	−0.245680	+	0.756124i
$714$	12.1232	+	37.4123i	0.453700	+	1.40012i
$715$	20.9851	−	15.8044i	0.784800	−	0.591050i
$716$	−1.84135	+	1.44969i	−0.0688146	+	0.0541773i
$717$	−39.7553	−	13.8069i	−1.48469	−	0.515628i
$718$	7.12518	+	2.16390i	0.265909	+	0.0807562i
$719$	26.3495	+	19.1440i	0.982669	+	0.713951i	0.958303	−	0.285753i	$-0.0922435\pi$
$719$	26.3495	+	19.1440i	0.982669	+	0.713951i	0.0243652	+	0.999703i	$0.492244\pi$
$720$	−14.5723	+	22.5310i	−0.543078	+	0.839682i
$721$	2.54896	−	1.85193i	0.0949284	−	0.0689695i
$722$	−12.9583	+	4.48887i	−0.482257	+	0.167058i
$723$	12.9139	+	18.5475i	0.480274	+	0.689789i
$724$	17.0553	+	11.4119i	0.633856	+	0.424119i
$725$	−25.7776	+	9.36622i	−0.957358	+	0.347853i
$726$	1.88535	+	0.00149395i	0.0699720	+	5.54457e-5i
$727$	−6.92940	−	21.3265i	−0.256997	−	0.790956i	−0.993430	−	0.114445i	$-0.963491\pi$
$727$	−6.92940	−	21.3265i	−0.256997	−	0.790956i	0.736432	−	0.676511i	$-0.236509\pi$
$728$	−7.85704	+	29.9913i	−0.291201	+	1.11155i
$729$	19.7749	+	18.3835i	0.732403	+	0.680872i
$730$	12.4140	−	18.4676i	0.459465	−	0.683518i
$731$	39.3331	+	28.5772i	1.45479	+	1.05697i
$732$	−42.1149	−	12.8267i	−1.55661	−	0.474087i
$733$	11.5432	−	15.8879i	0.426359	−	0.586833i	−0.540754	−	0.841181i	$-0.681861\pi$
$733$	11.5432	−	15.8879i	0.426359	−	0.586833i	0.967113	+	0.254348i	$0.0818609\pi$
$734$	1.30953	−	1.87763i	0.0483357	−	0.0693045i
$735$	−7.37853	−	0.0216026i	−0.272161	−	0.000796824i
$736$	10.8496	+	24.9134i	0.399923	+	0.918321i
$737$	−13.0474	+	40.1558i	−0.480608	+	1.47916i
$738$	13.0929	+	0.273655i	0.481955	+	0.0100734i
$739$	5.68259	−	1.84639i	0.209038	−	0.0679204i	−0.202626	−	0.979256i	$-0.564948\pi$
$739$	5.68259	−	1.84639i	0.209038	−	0.0679204i	0.411664	+	0.911336i	$0.364948\pi$
$740$	−11.4865	−	29.6181i	−0.422253	−	1.08878i
$741$	−0.390123	+	19.4011i	−0.0143315	+	0.712717i
$742$	−17.1152	−	22.6249i	−0.628318	−	0.830588i
$743$		−	39.0493i		−	1.43258i	−0.697802	−	0.716291i	$-0.745839\pi$
$743$		−	39.0493i		−	1.43258i	0.697802	−	0.716291i	$-0.254161\pi$
$744$	20.3231	−	7.46444i	0.745080	−	0.273660i
$745$	26.8949	−	20.2551i	0.985351	−	0.742090i
$746$	0.544233	+	1.57107i	0.0199258	+	0.0575209i
$747$	−10.6365	−	3.93538i	−0.389168	−	0.143988i
$748$	−9.36351	+	33.1189i	−0.342364	+	1.21095i
$749$			20.6365i			0.754042i
$750$	26.4415	+	7.13086i	0.965506	+	0.260382i
$751$		−	40.2538i		−	1.46888i	−0.678673	−	0.734441i	$-0.737444\pi$
$751$		−	40.2538i		−	1.46888i	0.678673	−	0.734441i	$-0.262556\pi$
$752$	−12.5219	−	14.6995i	−0.456626	−	0.536036i
$753$	−26.3336	+	34.7537i	−0.959651	+	1.26650i
$754$	26.9247	−	9.32695i	0.980538	−	0.339668i
$755$	3.98399	−	3.00043i	0.144992	−	0.109197i
$756$	29.2795	+	10.2207i	1.06489	+	0.371724i
$757$			37.4848i			1.36241i	0.732094	+	0.681204i	$0.238543\pi$
$757$			37.4848i			1.36241i	−0.732094	+	0.681204i	$0.761457\pi$
$758$	−14.9535	+	11.3119i	−0.543134	+	0.410867i
$759$	−26.6064	−	0.535010i	−0.965751	−	0.0194196i
$760$	1.44768	+	19.2359i	0.0525128	+	0.697760i
$761$	−12.4530	+	4.04623i	−0.451422	+	0.146676i	−0.525899	−	0.850547i	$-0.676271\pi$
$761$	−12.4530	+	4.04623i	−0.451422	+	0.146676i	0.0744775	+	0.997223i	$0.476271\pi$
$762$	4.05276	−	12.4396i	0.146816	−	0.450638i
$763$	−10.0726	+	31.0002i	−0.364652	+	1.12228i
$764$	−9.66120	+	34.1719i	−0.349530	+	1.23629i
$765$	−34.5729	+	10.3594i	−1.24999	+	0.374545i
$766$	1.45014	+	1.01138i	0.0523956	+	0.0365427i
$767$	9.28298	−	12.7769i	0.335189	−	0.461348i
$768$	13.1381	−	24.4006i	0.474080	−	0.880482i
$769$	21.5484	+	15.6559i	0.777056	+	0.564565i	0.904094	−	0.427333i	$-0.140547\pi$
$769$	21.5484	+	15.6559i	0.777056	+	0.564565i	−0.127038	+	0.991898i	$0.540547\pi$
$770$	−25.0497	−	16.8385i	−0.902728	−	0.606819i
$771$	−8.08264	+	10.6670i	−0.291089	+	0.384164i
$772$	0.399989	+	10.3502i	0.0143959	+	0.372511i
$773$	9.89681	+	30.4592i	0.355963	+	1.09554i	0.955449	+	0.295157i	$0.0953720\pi$
$773$	9.89681	+	30.4592i	0.355963	+	1.09554i	−0.599485	+	0.800386i	$0.704628\pi$
$774$	36.7018	−	11.0828i	1.31922	−	0.398362i
$775$	−13.5947	−	17.4201i	−0.488335	−	0.625750i
$776$	3.51707	−	2.88071i	0.126256	−	0.103411i
$777$	−30.1312	+	20.9792i	−1.08095	+	0.752626i
$778$	−8.84977	−	25.5472i	−0.317280	−	0.915910i
$779$	7.61659	−	5.53377i	0.272893	−	0.198268i
$780$	−27.3564	−	7.82089i	−0.979517	−	0.280033i
$781$	−0.953010	−	0.692402i	−0.0341014	−	0.0247761i
$782$	−10.6211	+	34.9725i	−0.379809	+	1.25061i
$783$	−7.15768	−	27.5891i	−0.255795	−	0.985954i
$784$	7.59781	−	0.588123i	0.271351	−	0.0210044i
$785$	6.79143	−	5.11478i	0.242396	−	0.182554i
$786$	6.53848	+	20.1778i	0.233220	+	0.719717i
$787$	−9.68224	+	29.7989i	−0.345135	+	1.06221i	0.616377	+	0.787451i	$0.288600\pi$
$787$	−9.68224	+	29.7989i	−0.345135	+	1.06221i	−0.961512	+	0.274764i	$0.911400\pi$
$788$	17.6941	−	13.9305i	0.630327	−	0.496252i
$789$	−46.0486	+	32.0619i	−1.63937	+	1.14143i
$790$	45.1694	+	12.8747i	1.60706	+	0.458061i
$791$	5.09062	−	15.6673i	0.181001	−	0.557065i
$792$	16.3393	+	21.6705i	0.580590	+	0.770028i
$793$		−	46.6821i		−	1.65773i
$794$	30.9049	−	23.3788i	1.09677	−	0.829682i
$795$	21.1075	−	15.2413i	0.748607	−	0.540554i
$796$	−1.68920	−	43.7100i	−0.0598721	−	1.54926i
$797$	41.5148	−	30.1623i	1.47053	−	1.06840i	0.490072	−	0.871682i	$-0.336971\pi$
$797$	41.5148	−	30.1623i	1.47053	−	1.06840i	0.980459	−	0.196721i	$-0.0630294\pi$
$798$	21.2092	−	6.87270i	0.750796	−	0.243291i
$799$		−	25.9729i		−	0.918856i
$800$	−27.8108	−	5.15378i	−0.983259	−	0.182214i
$801$	−17.8996	−	26.8434i	−0.632452	−	0.948464i
$802$	1.62915	−	0.0314680i	0.0575272	−	0.00111117i
$803$	−13.2293	−	18.2086i	−0.466852	−	0.642566i
$804$	43.2214	−	14.9339i	1.52430	−	0.526679i
$805$	−26.2515	−	18.3923i	−0.925245	−	0.648244i
$806$	13.8501	+	18.3088i	0.487850	+	0.644900i
$807$	2.66555	+	8.80204i	0.0938316	+	0.309846i
$808$	−26.3420	+	1.52796i	−0.926709	+	0.0537534i
$809$	−11.8551	−	3.85195i	−0.416803	−	0.135428i	0.0931053	−	0.995656i	$-0.470321\pi$
$809$	−11.8551	−	3.85195i	−0.416803	−	0.135428i	−0.509908	+	0.860229i	$0.670321\pi$
$810$	−9.97502	+	26.6552i	−0.350487	+	0.936568i
$811$	10.9765	−	3.56647i	0.385436	−	0.125236i	−0.109888	−	0.993944i	$-0.535049\pi$
$811$	10.9765	−	3.56647i	0.385436	−	0.125236i	0.495324	+	0.868708i	$0.335049\pi$
$812$	−20.2513	−	25.7227i	−0.710681	−	0.902688i
$813$	−22.4552	−	0.451536i	−0.787537	−	0.0158361i
$814$	−32.1252	+	0.620518i	−1.12599	+	0.0217491i
$815$	−13.1724	+	4.53156i	−0.461409	+	0.158734i
$816$	34.7351	−	13.5247i	1.21597	−	0.473460i
$817$	16.2005	−	22.2981i	0.566784	−	0.780111i
$818$	−45.5959	−	13.8474i	−1.59422	−	0.484162i
$819$	−1.32195	+	32.8575i	−0.0461927	+	1.14813i
$820$	4.99131	+	12.8701i	0.174304	+	0.449444i
$821$	20.4207	+	28.1067i	0.712687	+	0.980929i	0.999735	+	0.0230131i	$0.00732596\pi$
$821$	20.4207	+	28.1067i	0.712687	+	0.980929i	−0.287048	+	0.957916i	$0.592674\pi$
$822$	0.0635135	−	0.0460684i	0.00221529	−	0.00160682i
$823$	−3.87241	−	11.9180i	−0.134984	−	0.415437i	0.860604	−	0.509275i	$-0.170086\pi$
$823$	−3.87241	−	11.9180i	−0.134984	−	0.415437i	−0.995587	+	0.0938382i	$0.970086\pi$
$824$	−1.89225	−	2.31025i	−0.0659196	−	0.0804815i
$825$	15.9605	−	22.6393i	0.555673	−	0.788198i
$826$	−17.3621	−	5.27284i	−0.604106	−	0.183466i
$827$	−36.6993	+	11.9243i	−1.27616	+	0.414650i	−0.867226	−	0.497914i	$-0.834100\pi$
$827$	−36.6993	+	11.9243i	−1.27616	+	0.414650i	−0.408934	+	0.912564i	$0.634100\pi$
$828$	16.9040	+	23.3441i	0.587455	+	0.811263i
$829$	−32.3960	+	23.5371i	−1.12516	+	0.817476i	−0.984983	−	0.172651i	$-0.944767\pi$
$829$	−32.3960	+	23.5371i	−1.12516	+	0.817476i	−0.140176	+	0.990127i	$0.544767\pi$
$830$	−0.436140	−	11.9467i	−0.0151387	−	0.414675i
$831$	5.51097	−	15.8682i	0.191173	−	0.550461i
$832$	28.8098	+	5.78846i	0.998800	+	0.200679i
$833$	8.29247	+	6.02483i	0.287317	+	0.208748i
$834$	43.9859	+	14.3304i	1.52311	+	0.496222i
$835$	32.9130	−	0.565430i	1.13900	−	0.0195675i
$836$	18.7752	+	5.30821i	0.649355	+	0.183588i
$837$	19.3580	−	12.3534i	0.669111	−	0.426995i
$838$	−10.2359	+	14.6765i	−0.353595	+	0.506990i
$839$	3.65025	+	11.2343i	0.126020	+	0.387851i	0.994086	−	0.108599i	$-0.0346365\pi$
$839$	3.65025	+	11.2343i	0.126020	+	0.387851i	−0.868065	+	0.496450i	$0.834636\pi$
$840$	1.79742	+	32.6402i	0.0620167	+	1.12620i
$841$	−0.336372	+	1.03525i	−0.0115990	+	0.0356982i
$842$	−0.260100	−	0.343832i	−0.00896363	−	0.0118492i
$843$	13.2644	+	43.8010i	0.456849	+	1.50859i
$844$	−3.51321	+	1.29352i	−0.120930	+	0.0445249i
$845$	−0.0189104	−	1.10075i	−0.000650537	−	0.0378669i
$846$	−16.3145	−	12.3822i	−0.560904	−	0.425709i
$847$	1.85821	−	1.35007i	0.0638489	−	0.0463889i
$848$	−20.4690	+	17.4366i	−0.702907	+	0.598776i
$849$	−27.9237	+	8.45622i	−0.958340	+	0.290217i
$850$	−23.9805	−	29.5343i	−0.822524	−	1.01302i
$851$	−34.1221			−1.16969
$852$	0.0236277	+	1.27559i	0.000809472	+	0.0437011i
$853$	−1.90457	−	2.62142i	−0.0652113	−	0.0897557i	0.775166	−	0.631758i	$-0.217666\pi$
$853$	−1.90457	−	2.62142i	−0.0652113	−	0.0897557i	−0.840377	+	0.542002i	$0.817666\pi$
$854$	−50.6796	+	17.5559i	−1.73422	+	0.600750i
$855$	5.87279	+	19.5995i	0.200845	+	0.670290i
$856$	19.5268	−	1.13265i	0.667413	−	0.0387130i
$857$	−5.86679			−0.200406			−0.100203	−	0.994967i	$-0.531949\pi$
$857$	−5.86679			−0.200406			−0.100203	+	0.994967i	$0.531949\pi$
$858$	−16.9338	+	23.2686i	−0.578112	+	0.794378i
$859$	19.6651	+	6.38959i	0.670966	+	0.218010i	0.624636	−	0.780916i	$-0.285247\pi$
$859$	19.6651	+	6.38959i	0.670966	+	0.218010i	0.0463298	+	0.998926i	$0.485247\pi$
$860$	25.5404	+	31.3186i	0.870921	+	1.06796i
$861$	13.0931	−	9.11624i	0.446212	−	0.310681i
$862$	8.71884	−	12.5012i	0.296965	−	0.425793i
$863$	−38.8989	−	12.6390i	−1.32413	−	0.430237i	−0.440222	−	0.897889i	$-0.645100\pi$
$863$	−38.8989	−	12.6390i	−1.32413	−	0.430237i	−0.883913	+	0.467652i	$0.845100\pi$
$864$	8.06411	−	28.2661i	0.274346	−	0.961631i
$865$	17.2209	−	24.5796i	0.585528	−	0.835730i
$866$	29.0225	+	20.2414i	0.986224	+	0.687832i
$867$	19.5472	+	6.78868i	0.663857	+	0.230556i
$868$	14.6680	−	21.9216i	0.497863	−	0.744068i
$869$	27.9235	−	38.4333i	0.947238	−	1.30376i
$870$	24.0137	−	18.0554i	0.814140	−	0.612137i
$871$	28.5010	+	39.2282i	0.965719	+	1.32920i
$872$	29.8861	+	7.82948i	1.01207	+	0.265140i
$873$	2.98884	−	3.78400i	0.101157	−	0.128069i
$874$	19.8260	+	6.02113i	0.670626	+	0.203668i
$875$	31.1576	−	11.9308i	1.05332	−	0.403334i
$876$	−7.10200	+	23.3186i	−0.239954	+	0.787862i
$877$	18.9365	−	6.15283i	0.639439	−	0.207766i	0.0286873	−	0.999588i	$-0.490867\pi$
$877$	18.9365	−	6.15283i	0.639439	−	0.207766i	0.610752	+	0.791822i	$0.290867\pi$
$878$	−7.31182	−	21.1075i	−0.246762	−	0.712342i
$879$	23.1061	−	30.4942i	0.779349	−	1.02854i
$880$	−14.5582	+	24.6269i	−0.490757	+	0.830172i
$881$	18.8345	−	25.9234i	0.634550	−	0.873383i	−0.363760	−	0.931493i	$-0.618507\pi$
$881$	18.8345	−	25.9234i	0.634550	−	0.873383i	0.998310	+	0.0581094i	$0.0185072\pi$
$882$	7.73772	−	2.33654i	0.260543	−	0.0786755i
$883$	7.40500	+	5.38005i	0.249198	+	0.181053i	0.705371	−	0.708838i	$-0.250780\pi$
$883$	7.40500	+	5.38005i	0.249198	+	0.181053i	−0.456173	+	0.889891i	$0.650780\pi$
$884$	24.4498	+	31.0555i	0.822337	+	1.04451i
$885$	5.19215	−	15.8220i	0.174532	−	0.531851i
$886$	−52.2207	+	1.00868i	−1.75439	+	0.0338871i
$887$	−10.9682	−	3.56380i	−0.368277	−	0.119661i	0.119031	−	0.992891i	$-0.462021\pi$
$887$	−10.9682	−	3.56380i	−0.368277	−	0.119661i	−0.487308	+	0.873230i	$0.662021\pi$
$888$	21.5049	+	27.3595i	0.721657	+	0.918126i
$889$	−4.92536	−	15.1587i	−0.165191	−	0.508406i
$890$	18.9730	−	28.2250i	0.635977	−	0.946104i
$891$	21.8541	+	18.7364i	0.732140	+	0.627694i
$892$	1.64860	+	4.47760i	0.0551993	+	0.149921i
$893$	−14.7241			−0.492725
$894$	−21.7027	+	29.8214i	−0.725846	+	0.997378i
$895$	−2.50545	−	0.766749i	−0.0837481	−	0.0256296i
$896$	−4.55045	−	33.4537i	−0.152020	−	1.11761i
$897$	−18.4570	+	24.3585i	−0.616260	+	0.813308i
$898$	−1.28848	+	0.0248878i	−0.0429972	+	0.000830518i
$899$	−24.2417			−0.808506
$900$	−29.9839	+	0.982952i	−0.999463	+	0.0327651i
$901$	−36.1671			−1.20490
$902$	13.9596	−	0.269637i	0.464802	−	0.00897795i
$903$	28.2078	−	37.2271i	0.938696	−	1.23884i
$904$	−15.1042	−	3.95697i	−0.502359	−	0.131607i
$905$	0.394097	+	22.9399i	0.0131002	+	0.762548i
$906$	−3.21486	+	4.41751i	−0.106807	+	0.146762i
$907$	15.9142			0.528423			0.264212	−	0.964465i	$-0.414888\pi$
$907$	15.9142			0.528423			0.264212	+	0.964465i	$0.414888\pi$
$908$	−39.2937	+	14.4675i	−1.30401	+	0.480121i
$909$	−26.9433	+	7.57142i	−0.893652	+	0.251128i
$910$	−32.5536	+	11.9070i	−1.07914	+	0.394713i
$911$	−4.96121	−	15.2690i	−0.164372	−	0.505885i	0.834617	−	0.550830i	$-0.185689\pi$
$911$	−4.96121	−	15.2690i	−0.164372	−	0.505885i	−0.998989	+	0.0449448i	$0.985689\pi$
$912$	−7.66721	−	19.6915i	−0.253887	−	0.652050i
$913$	−11.4997	−	3.73648i	−0.380585	−	0.123659i
$914$	6.31898	−	0.122055i	0.209013	−	0.00403722i
$915$	−15.0731	−	46.8565i	−0.498301	−	1.54903i
$916$	−0.692984	+	0.545582i	−0.0228968	+	0.0180265i
$917$	20.9054	+	15.1886i	0.690356	+	0.501573i
$918$	32.9114	−	21.9082i	1.08624	−	0.723079i
$919$	10.3686	−	14.2711i	0.342028	−	0.470761i	−0.603004	−	0.797738i	$-0.706030\pi$
$919$	10.3686	−	14.2711i	0.342028	−	0.470761i	0.945032	+	0.326977i	$0.106030\pi$
$920$	−15.9625	+	25.8494i	−0.526267	+	0.852229i
$921$	23.5277	−	31.0506i	0.775264	−	1.02315i
$922$	−6.57126	−	18.9696i	−0.216413	−	0.624731i
$923$	−1.28661	+	0.418044i	−0.0423492	+	0.0137601i
$924$	31.6296	+	9.63321i	1.04054	+	0.316909i
$925$	19.8771	−	29.4340i	0.653555	−	0.967785i
$926$	18.1343	+	5.50735i	0.595929	+	0.180983i
$927$	−2.48559	−	1.96328i	−0.0816375	−	0.0644825i
$928$	−23.2280	+	20.5741i	−0.762496	+	0.675378i
$929$	−19.6813	−	27.0890i	−0.645722	−	0.888760i	0.353183	−	0.935554i	$-0.385099\pi$
$929$	−19.6813	−	27.0890i	−0.645722	−	0.888760i	−0.998905	+	0.0467947i	$0.985099\pi$
$930$	19.8136	+	13.9052i	0.649713	+	0.455968i
$931$	3.41550	−	4.70103i	0.111938	−	0.154070i
$932$	29.3630	+	19.6471i	0.961817	+	0.643561i
$933$	−1.85255	−	0.643384i	−0.0606497	−	0.0210635i
$934$	18.1667	+	12.6702i	0.594432	+	0.414580i
$935$	−36.3865	+	12.5177i	−1.18997	+	0.409372i
$936$	31.1632	−	0.552532i	1.01860	−	0.0180601i
$937$	19.0836	+	6.20063i	0.623433	+	0.202566i	0.603664	−	0.797239i	$-0.293707\pi$
$937$	19.0836	+	6.20063i	0.623433	+	0.202566i	0.0197693	+	0.999805i	$0.493707\pi$
$938$	31.8690	−	45.6943i	1.04056	−	1.49197i
$939$	26.8705	−	18.7089i	0.876884	−	0.610541i
$940$	5.51582	−	20.8726i	0.179906	−	0.680790i
$941$	−18.0479	−	5.86410i	−0.588343	−	0.191164i	−0.000308443	−	1.00000i	$-0.500098\pi$
$941$	−18.0479	−	5.86410i	−0.588343	−	0.191164i	−0.588035	+	0.808836i	$0.700098\pi$
$942$	−5.48031	+	7.53044i	−0.178558	+	0.245355i
$943$	14.8273			0.482843
$944$	−4.03638	+	16.7179i	−0.131373	+	0.544122i
$945$	9.28238	+	33.4070i	0.301956	+	1.08673i
$946$	38.6234	−	13.3795i	1.25576	−	0.435006i
$947$	6.15076	+	8.46580i	0.199873	+	0.275101i	0.897174	−	0.441677i	$-0.145616\pi$
$947$	6.15076	+	8.46580i	0.199873	+	0.275101i	−0.697301	+	0.716778i	$0.745616\pi$
$948$	−51.4425	+	0.952867i	−1.67078	+	0.0309477i
$949$	−25.8474			−0.839043
$950$	−16.7431	+	13.5946i	−0.543218	+	0.441068i
$951$	−18.8550	+	5.70992i	−0.611416	+	0.185157i
$952$	24.5200	−	38.2227i	0.794697	−	1.23880i
$953$	35.2246	−	25.5922i	1.14104	−	0.829012i	0.153774	−	0.988106i	$-0.450857\pi$
$953$	35.2246	−	25.5922i	1.14104	−	0.829012i	0.987264	+	0.159094i	$0.0508572\pi$
$954$	−17.2421	+	22.7178i	−0.558235	+	0.735517i
$955$	−37.5434	+	12.9157i	−1.21487	+	0.417941i
$956$	16.7903	+	45.6023i	0.543036	+	1.47489i
$957$	−8.80755	−	29.0839i	−0.284708	−	0.940148i
$958$	18.8349	+	24.8982i	0.608527	+	0.804425i
$959$	0.0295383	−	0.0909095i	0.000953842	−	0.00293562i
$960$	30.7864	−	3.49224i	0.993628	−	0.112712i
$961$	3.54410	+	10.9076i	0.114326	+	0.351859i
$962$	−21.1087	+	30.2660i	−0.680571	+	0.975815i
$963$	19.9725	−	5.61254i	0.643605	−	0.180862i
$964$	7.09986	−	25.1124i	0.228671	−	0.808814i
$965$	−9.25050	+	6.96676i	−0.297784	+	0.224268i
$966$	33.3856	+	10.8769i	1.07416	+	0.349958i
$967$	8.41456	+	6.11354i	0.270594	+	0.196598i	0.714804	−	0.699324i	$-0.246516\pi$
$967$	8.41456	+	6.11354i	0.270594	+	0.196598i	−0.444210	+	0.895923i	$0.646516\pi$
$968$	−1.37946	−	1.68419i	−0.0443376	−	0.0541319i
$969$	9.32488	−	26.8499i	0.299558	−	0.862542i
$970$	4.88816	+	1.39328i	0.156949	+	0.0447355i
$971$	6.93469	−	5.03835i	0.222545	−	0.161688i	−0.470927	−	0.882172i	$-0.656080\pi$
$971$	6.93469	−	5.03835i	0.222545	−	0.161688i	0.693471	+	0.720484i	$0.256080\pi$
$972$	1.92867	−	31.1172i	0.0618621	−	0.998085i
$973$	53.6006	−	17.4159i	1.71836	−	0.558328i
$974$	−43.4171	−	13.1857i	−1.39117	−	0.422497i
$975$	−10.2602	−	30.1107i	−0.328589	−	0.964314i
$976$	19.3934	+	46.9909i	0.620769	+	1.50414i
$977$	−4.57851	−	14.0912i	−0.146479	−	0.450817i	0.850719	−	0.525621i	$-0.176167\pi$
$977$	−4.57851	−	14.0912i	−0.146479	−	0.450817i	−0.997198	+	0.0748036i	$0.976167\pi$
$978$	12.3524	−	8.95960i	0.394986	−	0.286496i
$979$	−20.2190	−	27.8290i	−0.646202	−	0.889420i
$980$	5.38460	+	6.60280i	0.172005	+	0.210919i
$981$	32.7422	+	1.31731i	1.04538	+	0.0420586i
$982$	−26.6633	−	8.09759i	−0.850860	−	0.258404i
$983$	13.1107	−	18.0453i	0.418166	−	0.575557i	−0.547020	−	0.837120i	$-0.684238\pi$
$983$	13.1107	−	18.0453i	0.418166	−	0.575557i	0.965186	+	0.261563i	$0.0842378\pi$
$984$	−9.34465	−	11.8887i	−0.297897	−	0.378998i
$985$	24.0757	+	7.36792i	0.767115	+	0.234762i
$986$	−41.7287	+	0.806016i	−1.32891	+	0.0256688i
$987$	−24.9467	−	0.501637i	−0.794063	−	0.0159673i
$988$	17.6055	−	13.8607i	0.560106	−	0.440968i
$989$	41.2834	−	13.4138i	1.31274	−	0.426534i
$990$	−9.48395	+	28.8233i	−0.301420	+	0.916064i
$991$	26.5704	+	8.63324i	0.844036	+	0.274244i	0.698946	−	0.715175i	$-0.253653\pi$
$991$	26.5704	+	8.63324i	0.844036	+	0.274244i	0.145090	+	0.989418i	$0.453653\pi$
$992$	−21.5479	−	12.6760i	−0.684146	−	0.402465i
$993$	−3.95949	−	13.0748i	−0.125651	−	0.414917i
$994$	0.937700	+	1.23957i	0.0297420	+	0.0393166i
$995$	39.0660	−	29.4214i	1.23847	−	0.932722i
$996$	4.27674	+	12.3776i	0.135514	+	0.392199i
$997$	−28.8582	−	39.7200i	−0.913950	−	1.25794i	−0.965800	−	0.259289i	$-0.916512\pi$
$997$	−28.8582	−	39.7200i	−0.913950	−	1.25794i	0.0518503	−	0.998655i	$-0.483488\pi$
$998$	41.2030	−	0.795861i	1.30426	−	0.0251925i
$999$	28.4991	+	23.4560i	0.901670	+	0.742115i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.r.a.119.29	yes	224
3.2	odd	2	inner	300.2.r.a.119.28	yes	224
4.3	odd	2	inner	300.2.r.a.119.41	yes	224
12.11	even	2	inner	300.2.r.a.119.16	✓	224
25.4	even	10	inner	300.2.r.a.179.16	yes	224
75.29	odd	10	inner	300.2.r.a.179.41	yes	224
100.79	odd	10	inner	300.2.r.a.179.28	yes	224
300.179	even	10	inner	300.2.r.a.179.29	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.r.a.119.16	✓	224	12.11	even	2	inner
300.2.r.a.119.28	yes	224	3.2	odd	2	inner
300.2.r.a.119.29	yes	224	1.1	even	1	trivial
300.2.r.a.119.41	yes	224	4.3	odd	2	inner
300.2.r.a.179.16	yes	224	25.4	even	10	inner
300.2.r.a.179.28	yes	224	100.79	odd	10	inner
300.2.r.a.179.29	yes	224	300.179	even	10	inner
300.2.r.a.179.41	yes	224	75.29	odd	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)

\(f(q)\)	\(=\)	\(q+(0.0273113 + 1.41395i) q^{2} +(1.04604 - 1.38051i) q^{3} +(-1.99851 + 0.0772337i) q^{4} +(-1.34521 - 1.78617i) q^{5} +(1.98054 + 1.44134i) q^{6} +2.98415 q^{7} +(-0.163786 - 2.82368i) q^{8} +(-0.811603 - 2.88813i) q^{9} +O(q^{10})\)	\(q+(0.0273113 + 1.41395i) q^{2} +(1.04604 - 1.38051i) q^{3} +(-1.99851 + 0.0772337i) q^{4} +(-1.34521 - 1.78617i) q^{5} +(1.98054 + 1.44134i) q^{6} +2.98415 q^{7} +(-0.163786 - 2.82368i) q^{8} +(-0.811603 - 2.88813i) q^{9} +(2.48882 - 1.95084i) q^{10} +(-0.988386 - 3.04194i) q^{11} +(-1.98390 + 2.83975i) q^{12} +(-3.49341 - 1.13508i) q^{13} +(0.0815010 + 4.21943i) q^{14} +(-3.87297 - 0.0113391i) q^{15} +(3.98807 - 0.308704i) q^{16} +(4.35269 + 3.16242i) q^{17} +(4.06151 - 1.22644i) q^{18} +(1.79279 - 2.46756i) q^{19} +(2.82636 + 3.46579i) q^{20} +(3.12154 - 4.11964i) q^{21} +(4.27416 - 1.48061i) q^{22} +(4.56852 - 1.48440i) q^{23} +(-4.06944 - 2.72757i) q^{24} +(-1.38083 + 4.80555i) q^{25} +(1.50953 - 4.97051i) q^{26} +(-4.83606 - 1.90067i) q^{27} +(-5.96384 + 0.230477i) q^{28} +(3.22418 + 4.43770i) q^{29} +(-0.0897429 - 5.47649i) q^{30} +(-2.59765 + 3.57536i) q^{31} +(0.545412 + 5.63050i) q^{32} +(-5.23331 - 1.81751i) q^{33} +(-4.35262 + 6.24086i) q^{34} +(-4.01430 - 5.33021i) q^{35} +(1.84506 + 5.70927i) q^{36} +(-6.75575 - 2.19508i) q^{37} +(3.53797 + 2.46752i) q^{38} +(-5.22123 + 3.63535i) q^{39} +(-4.82326 + 4.09099i) q^{40} +(2.93562 + 0.953840i) q^{41} +(5.91022 + 4.30118i) q^{42} +9.03650 q^{43} +(2.21024 + 6.00301i) q^{44} +(-4.06693 + 5.33480i) q^{45} +(2.22364 + 6.41911i) q^{46} +(-2.83752 - 3.90551i) q^{47} +(3.74551 - 5.82848i) q^{48} +1.90514 q^{49} +(-6.83252 - 1.82118i) q^{50} +(8.91883 - 2.70091i) q^{51} +(7.06928 + 1.99866i) q^{52} +(-5.43840 + 3.95123i) q^{53} +(2.55538 - 6.88985i) q^{54} +(-4.10385 + 5.85747i) q^{55} +(-0.488763 - 8.42628i) q^{56} +(-1.53116 - 5.05612i) q^{57} +(-6.18663 + 4.68003i) q^{58} +(-1.32864 + 4.08914i) q^{59} +(7.74103 - 0.276462i) q^{60} +(3.92726 + 12.0869i) q^{61} +(-5.12633 - 3.57530i) q^{62} +(-2.42194 - 8.61861i) q^{63} +(-7.94635 + 0.924961i) q^{64} +(2.67192 + 7.76676i) q^{65} +(2.42695 - 7.44928i) q^{66} +(-10.6796 - 7.75919i) q^{67} +(-8.94314 - 5.98394i) q^{68} +(2.72962 - 7.85961i) q^{69} +(7.42701 - 5.82159i) q^{70} +(0.297957 - 0.216478i) q^{71} +(-8.02223 + 2.76474i) q^{72} +(6.69237 - 2.17448i) q^{73} +(2.91922 - 9.61224i) q^{74} +(5.18969 + 6.93305i) q^{75} +(-3.39232 + 5.06990i) q^{76} +(-2.94949 - 9.07760i) q^{77} +(-5.28280 - 7.28328i) q^{78} +(8.73021 + 12.0161i) q^{79} +(-5.91618 - 6.70812i) q^{80} +(-7.68260 + 4.68803i) q^{81} +(-1.26851 + 4.17687i) q^{82} +(2.22205 - 3.05839i) q^{83} +(-5.92024 + 8.47422i) q^{84} +(-0.206649 - 12.0288i) q^{85} +(0.246799 + 12.7772i) q^{86} +(9.49890 + 0.191007i) q^{87} +(-8.42758 + 3.28912i) q^{88} +(10.2283 - 3.32337i) q^{89} +(-7.65421 - 5.60473i) q^{90} +(-10.4249 - 3.38724i) q^{91} +(-9.01557 + 3.31943i) q^{92} +(2.21857 + 7.32605i) q^{93} +(5.44470 - 4.11878i) q^{94} +(-6.81915 + 0.117150i) q^{95} +(8.34347 + 5.13678i) q^{96} +(0.944770 + 1.30036i) q^{97} +(0.0520318 + 2.69377i) q^{98} +(-7.98334 + 5.32344i) 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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