LMFDB - Embedded newform 92.2.h.a.11.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [92,2,Mod(7,92)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(92, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 19]))

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

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

chi := DirichletCharacter("92.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 92 = 2^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	92.h (of order $22$, degree $10$, 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:	$0.734623698596$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.6
Character	$\chi$	$=$	92.11
Dual form			92.2.h.a.67.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.188138 + 1.40164i) q^{2} +(2.71502 + 0.390360i) q^{3} +(-1.92921 - 0.527404i) q^{4} +(0.232350 + 0.791311i) q^{5} +(-1.05794 + 3.73204i) q^{6} +(-2.90308 - 3.35033i) q^{7} +(1.10219 - 2.60484i) q^{8} +(4.34045 + 1.27447i) q^{9} +(-1.15285 + 0.176796i) q^{10} +(-1.51356 - 0.972706i) q^{11} +(-5.03195 - 2.18500i) q^{12} +(-3.65672 + 4.22008i) q^{13} +(5.24214 - 3.43875i) q^{14} +(0.321937 + 2.23912i) q^{15} +(3.44369 + 2.03494i) q^{16} +(1.07587 - 0.491333i) q^{17} +(-2.60295 + 5.84398i) q^{18} +(-0.454341 + 0.994869i) q^{19} +(-0.0309110 - 1.64915i) q^{20} +(-6.57406 - 10.2294i) q^{21} +(1.64814 - 1.93847i) q^{22} +(4.16463 - 2.37820i) q^{23} +(4.00928 - 6.64192i) q^{24} +(3.63408 - 2.33548i) q^{25} +(-5.22708 - 5.91938i) q^{26} +(3.80170 + 1.73618i) q^{27} +(3.83366 + 7.99457i) q^{28} +(1.35119 + 2.95868i) q^{29} +(-3.19902 + 0.0299780i) q^{30} +(-1.36511 + 0.196274i) q^{31} +(-3.50015 + 4.44398i) q^{32} +(-3.72963 - 3.23175i) q^{33} +(0.486263 + 1.60042i) q^{34} +(1.97662 - 3.07569i) q^{35} +(-7.70147 - 4.74789i) q^{36} +(-0.0441808 + 0.150466i) q^{37} +(-1.30897 - 0.823997i) q^{38} +(-11.5754 + 10.0301i) q^{39} +(2.31733 + 0.266941i) q^{40} +(-3.74516 + 1.09968i) q^{41} +(15.5749 - 7.28995i) q^{42} +(-1.05536 + 7.34019i) q^{43} +(2.40696 + 2.67481i) q^{44} +3.73077i q^{45} +(2.54986 + 6.28476i) q^{46} -1.42739i q^{47} +(8.55531 + 6.86918i) q^{48} +(-1.80065 + 12.5238i) q^{49} +(2.58981 + 5.53308i) q^{50} +(3.11280 - 0.914001i) q^{51} +(9.28026 - 6.21285i) q^{52} +(8.39447 - 7.27385i) q^{53} +(-3.14874 + 5.00198i) q^{54} +(0.418038 - 1.42371i) q^{55} +(-11.9268 + 3.86935i) q^{56} +(-1.62190 + 2.52373i) q^{57} +(-4.40123 + 1.33724i) q^{58} +(2.52102 + 2.18448i) q^{59} +(0.559838 - 4.48953i) q^{60} +(-8.75165 + 1.25830i) q^{61} +(-0.0182765 - 1.95033i) q^{62} +(-8.33075 - 18.2418i) q^{63} +(-5.57036 - 5.74205i) q^{64} +(-4.18904 - 1.91307i) q^{65} +(5.23144 - 4.61960i) q^{66} +(-7.17273 + 4.60963i) q^{67} +(-2.33471 + 0.380467i) q^{68} +(12.2354 - 4.83114i) q^{69} +(3.93914 + 3.34917i) q^{70} +(0.0394082 + 0.0613203i) q^{71} +(8.10378 - 9.90146i) q^{72} +(3.13491 - 6.86450i) q^{73} +(-0.202587 - 0.0902340i) q^{74} +(10.7783 - 4.92227i) q^{75} +(1.40122 - 1.67969i) q^{76} +(1.13510 + 7.89476i) q^{77} +(-11.8809 - 18.1116i) q^{78} +(-3.24451 + 3.74436i) q^{79} +(-0.810133 + 3.19785i) q^{80} +(-1.77278 - 1.13930i) q^{81} +(-0.836752 - 5.45627i) q^{82} +(6.48746 + 1.90489i) q^{83} +(7.28769 + 23.2019i) q^{84} +(0.638776 + 0.737187i) q^{85} +(-10.0898 - 2.86020i) q^{86} +(2.51354 + 8.56032i) q^{87} +(-4.20197 + 2.87047i) q^{88} +(-2.37270 - 0.341143i) q^{89} +(-5.22921 - 0.701898i) q^{90} +24.7544 q^{91} +(-9.28872 + 2.39160i) q^{92} -3.78292 q^{93} +(2.00069 + 0.268546i) q^{94} +(-0.892817 - 0.128368i) q^{95} +(-11.2377 + 10.6991i) q^{96} +(-4.11453 - 14.0128i) q^{97} +(-17.2151 - 4.88005i) q^{98} +(-5.32984 - 6.15097i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25}+ \cdots - 71 q^{98}+O(q^{100}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/92\mathbb{Z}\right)^\times$.

$n$	$5$	$47$
$\chi(n)$	$e\left(\frac{9}{22}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.188138	+	1.40164i	−0.133033	+	0.991112i
$2$	−0.188138	+	1.40164i	−0.133033	+	0.991112i
$3$	2.71502	+	0.390360i	1.56751	+	0.225375i	0.870677	−	0.491855i	$-0.163681\pi$
$3$	2.71502	+	0.390360i	1.56751	+	0.225375i	0.696837	+	0.717229i	$0.254590\pi$
$4$	−1.92921	−	0.527404i	−0.964604	−	0.263702i
$5$	0.232350	+	0.791311i	0.103910	+	0.353885i	0.994992	−	0.0999579i	$-0.0318708\pi$
$5$	0.232350	+	0.791311i	0.103910	+	0.353885i	−0.891082	+	0.453843i	$0.850053\pi$
$6$	−1.05794	+	3.73204i	−0.431903	+	1.52360i
$7$	−2.90308	−	3.35033i	−1.09726	−	1.26631i	−0.961274	−	0.275594i	$-0.911125\pi$
$7$	−2.90308	−	3.35033i	−1.09726	−	1.26631i	−0.135985	−	0.990711i	$-0.543420\pi$
$8$	1.10219	−	2.60484i	0.389683	−	0.920949i
$9$	4.34045	+	1.27447i	1.44682	+	0.424823i
$10$	−1.15285	+	0.176796i	−0.364563	+	0.0559079i
$11$	−1.51356	−	0.972706i	−0.456356	−	0.293282i	0.292196	−	0.956358i	$-0.405614\pi$
$11$	−1.51356	−	0.972706i	−0.456356	−	0.293282i	−0.748552	+	0.663077i	$0.769250\pi$
$12$	−5.03195	−	2.18500i	−1.45260	−	0.630754i
$13$	−3.65672	+	4.22008i	−1.01419	+	1.17044i	−0.0288962	+	0.999582i	$0.509199\pi$
$13$	−3.65672	+	4.22008i	−1.01419	+	1.17044i	−0.985296	+	0.170858i	$0.945346\pi$
$14$	5.24214	−	3.43875i	1.40102	−	0.919046i
$15$	0.321937	+	2.23912i	0.0831238	+	0.578139i
$16$	3.44369	+	2.03494i	0.860923	+	0.508736i
$17$	1.07587	−	0.491333i	0.260937	−	0.119166i	−0.280651	−	0.959810i	$-0.590550\pi$
$17$	1.07587	−	0.491333i	0.260937	−	0.119166i	0.541588	+	0.840644i	$0.317823\pi$
$18$	−2.60295	+	5.84398i	−0.613522	+	1.37744i
$19$	−0.454341	+	0.994869i	−0.104233	+	0.228239i	−0.954562	−	0.298014i	$-0.903676\pi$
$19$	−0.454341	+	0.994869i	−0.104233	+	0.228239i	0.850329	+	0.526252i	$0.176403\pi$
$20$	−0.0309110	−	1.64915i	−0.00691190	−	0.368760i
$21$	−6.57406	−	10.2294i	−1.43458	−	2.23225i
$22$	1.64814	−	1.93847i	0.351386	−	0.413283i
$23$	4.16463	−	2.37820i	0.868386	−	0.495889i
$23$	4.16463	−	2.37820i	0.868386	−	0.495889i
$24$	4.00928	−	6.64192i	0.818392	−	1.35578i
$25$	3.63408	−	2.33548i	0.726816	−	0.467096i
$26$	−5.22708	−	5.91938i	−1.02512	−	1.16089i
$27$	3.80170	+	1.73618i	0.731637	+	0.334127i
$28$	3.83366	+	7.99457i	0.724494	+	1.51083i
$29$	1.35119	+	2.95868i	0.250909	+	0.549414i	0.992614	−	0.121312i	$-0.0387101\pi$
$29$	1.35119	+	2.95868i	0.250909	+	0.549414i	−0.741706	+	0.670726i	$0.765983\pi$
$30$	−3.19902	+	0.0299780i	−0.584059	+	0.00547320i
$31$	−1.36511	+	0.196274i	−0.245182	+	0.0352518i	−0.263810	−	0.964575i	$-0.584979\pi$
$31$	−1.36511	+	0.196274i	−0.245182	+	0.0352518i	0.0186284	+	0.999826i	$0.494070\pi$
$32$	−3.50015	+	4.44398i	−0.618745	+	0.785592i
$33$	−3.72963	−	3.23175i	−0.649246	−	0.562575i
$34$	0.486263	+	1.60042i	0.0833934	+	0.274471i
$35$	1.97662	−	3.07569i	0.334110	−	0.519886i
$36$	−7.70147	−	4.74789i	−1.28358	−	0.791315i
$37$	−0.0441808	+	0.150466i	−0.00726327	+	0.0247364i	−0.963045	−	0.269341i	$-0.913194\pi$
$37$	−0.0441808	+	0.150466i	−0.00726327	+	0.0247364i	0.955782	+	0.294077i	$0.0950123\pi$
$38$	−1.30897	−	0.823997i	−0.212343	−	0.133670i
$39$	−11.5754	+	10.0301i	−1.85355	+	1.60611i
$40$	2.31733	+	0.266941i	0.366402	+	0.0422070i
$41$	−3.74516	+	1.09968i	−0.584896	+	0.171741i	−0.560775	−	0.827968i	$-0.689497\pi$
$41$	−3.74516	+	1.09968i	−0.584896	+	0.171741i	−0.0241209	+	0.999709i	$0.507679\pi$
$42$	15.5749	−	7.28995i	2.40325	−	1.12486i
$43$	−1.05536	+	7.34019i	−0.160941	+	1.11937i	0.735924	+	0.677064i	$0.236748\pi$
$43$	−1.05536	+	7.34019i	−0.160941	+	1.11937i	−0.896865	+	0.442304i	$0.854161\pi$
$44$	2.40696	+	2.67481i	0.362863	+	0.403243i
$45$			3.73077i			0.556150i
$46$	2.54986	+	6.28476i	0.375957	+	0.926637i
$47$		−	1.42739i		−	0.208206i	−0.994567	−	0.104103i	$-0.966803\pi$
$47$		−	1.42739i		−	0.208206i	0.994567	−	0.104103i	$-0.0331972\pi$
$48$	8.55531	+	6.86918i	1.23485	+	0.991481i
$49$	−1.80065	+	12.5238i	−0.257235	+	1.78911i
$50$	2.58981	+	5.53308i	0.366254	+	0.782495i
$51$	3.11280	−	0.914001i	0.435879	−	0.127986i
$52$	9.28026	−	6.21285i	1.28694	−	0.861567i
$53$	8.39447	−	7.27385i	1.15307	−	0.999140i	0.153129	−	0.988206i	$-0.451065\pi$
$53$	8.39447	−	7.27385i	1.15307	−	0.999140i	0.999940	−	0.0109341i	$-0.00348052\pi$
$54$	−3.14874	+	5.00198i	−0.428490	+	0.680684i
$55$	0.418038	−	1.42371i	0.0563682	−	0.191972i
$56$	−11.9268	+	3.86935i	−1.59379	+	0.517063i
$57$	−1.62190	+	2.52373i	−0.214826	+	0.334276i
$58$	−4.40123	+	1.33724i	−0.577909	+	0.175588i
$59$	2.52102	+	2.18448i	0.328209	+	0.284395i	0.803340	−	0.595520i	$-0.203054\pi$
$59$	2.52102	+	2.18448i	0.328209	+	0.284395i	−0.475131	+	0.879915i	$0.657599\pi$
$60$	0.559838	−	4.48953i	0.0722747	−	0.579595i
$61$	−8.75165	+	1.25830i	−1.12053	+	0.161108i	−0.677589	−	0.735440i	$-0.736975\pi$
$61$	−8.75165	+	1.25830i	−1.12053	+	0.161108i	−0.442945	+	0.896549i	$0.646066\pi$
$62$	−0.0182765	−	1.95033i	−0.00232112	−	0.247692i
$63$	−8.33075	−	18.2418i	−1.04958	−	2.29825i
$64$	−5.57036	−	5.74205i	−0.696295	−	0.717756i
$65$	−4.18904	−	1.91307i	−0.519586	−	0.237287i
$66$	5.23144	−	4.61960i	0.643946	−	0.568634i
$67$	−7.17273	+	4.60963i	−0.876289	+	0.563156i	−0.899670	−	0.436570i	$-0.856193\pi$
$67$	−7.17273	+	4.60963i	−0.876289	+	0.563156i	0.0233817	+	0.999727i	$0.492557\pi$
$68$	−2.33471	+	0.380467i	−0.283125	+	0.0461384i
$69$	12.2354	−	4.83114i	1.47297	−	0.581601i
$70$	3.93914	+	3.34917i	0.470817	+	0.400303i
$71$	0.0394082	+	0.0613203i	0.00467689	+	0.00727739i	0.843584	−	0.536997i	$-0.180441\pi$
$71$	0.0394082	+	0.0613203i	0.00467689	+	0.00727739i	−0.838907	+	0.544274i	$0.816805\pi$
$72$	8.10378	−	9.90146i	0.955040	−	1.16690i
$73$	3.13491	−	6.86450i	0.366914	−	0.803429i	−0.632666	−	0.774425i	$-0.718039\pi$
$73$	3.13491	−	6.86450i	0.366914	−	0.803429i	0.999579	−	0.0290038i	$-0.00923349\pi$
$74$	−0.202587	−	0.0902340i	−0.0235503	−	0.0104895i
$75$	10.7783	−	4.92227i	1.24457	−	0.568375i
$76$	1.40122	−	1.67969i	0.160731	−	0.192673i
$77$	1.13510	+	7.89476i	0.129356	+	0.899692i
$78$	−11.8809	−	18.1116i	−1.34525	−	2.05074i
$79$	−3.24451	+	3.74436i	−0.365036	+	0.421274i	−0.908321	−	0.418275i	$-0.862635\pi$
$79$	−3.24451	+	3.74436i	−0.365036	+	0.421274i	0.543285	+	0.839548i	$0.317180\pi$
$80$	−0.810133	+	3.19785i	−0.0905756	+	0.357531i
$81$	−1.77278	−	1.13930i	−0.196975	−	0.126588i
$82$	−0.836752	−	5.45627i	−0.0924038	−	0.602545i
$83$	6.48746	+	1.90489i	0.712092	+	0.209089i	0.617663	−	0.786443i	$-0.288080\pi$
$83$	6.48746	+	1.90489i	0.712092	+	0.209089i	0.0944283	+	0.995532i	$0.469898\pi$
$84$	7.28769	+	23.2019i	0.795152	+	2.53153i
$85$	0.638776	+	0.737187i	0.0692850	+	0.0799592i
$86$	−10.0898	−	2.86020i	−1.08801	−	0.308424i
$87$	2.51354	+	8.56032i	0.269479	+	0.917763i
$88$	−4.20197	+	2.87047i	−0.447932	+	0.305993i
$89$	−2.37270	−	0.341143i	−0.251506	−	0.0361611i	0.0154087	−	0.999881i	$-0.495095\pi$
$89$	−2.37270	−	0.341143i	−0.251506	−	0.0361611i	−0.266915	+	0.963720i	$0.586004\pi$
$90$	−5.22921	−	0.701898i	−0.551207	−	0.0739866i
$91$	24.7544			2.59497
$92$	−9.28872	+	2.39160i	−0.968416	+	0.249342i
$93$	−3.78292			−0.392271
$94$	2.00069	+	0.268546i	0.206356	+	0.0276984i
$95$	−0.892817	−	0.128368i	−0.0916011	−	0.0131703i
$96$	−11.2377	+	10.6991i	−1.14695	+	1.09198i
$97$	−4.11453	−	14.0128i	−0.417767	−	1.42278i	−0.852737	−	0.522340i	$-0.825059\pi$
$97$	−4.11453	−	14.0128i	−0.417767	−	1.42278i	0.434970	−	0.900445i	$-0.356759\pi$
$98$	−17.2151	−	4.88005i	−1.73899	−	0.492960i
$99$	−5.32984	−	6.15097i	−0.535669	−	0.618195i
$100$	−8.24264	+	2.58900i	−0.824264	+	0.258900i
$101$	14.3836	+	4.22342i	1.43123	+	0.420246i	0.903287	−	0.429036i	$-0.141147\pi$
$101$	14.3836	+	4.22342i	1.43123	+	0.420246i	0.527939	+	0.849282i	$0.322965\pi$
$102$	0.695468	+	4.53500i	0.0688616	+	0.449031i
$103$	−8.21382	−	5.27870i	−0.809332	−	0.520126i	0.0693167	−	0.997595i	$-0.477918\pi$
$103$	−8.21382	−	5.27870i	−0.809332	−	0.520126i	−0.878649	+	0.477468i	$0.841554\pi$
$104$	6.96223	+	14.1765i	0.682703	+	1.39012i
$105$	6.56719	−	7.57894i	0.640892	−	0.739629i
$106$	8.61603	+	13.1345i	0.836863	+	1.27574i
$107$	−2.32713	−	16.1855i	−0.224972	−	1.56472i	−0.718838	−	0.695177i	$-0.755326\pi$
$107$	−2.32713	−	16.1855i	−0.224972	−	1.56472i	0.493866	−	0.869538i	$-0.335583\pi$
$108$	−6.41860	−	5.35448i	−0.617630	−	0.515235i
$109$	10.5966	−	4.83933i	1.01497	−	0.463524i	0.162732	−	0.986670i	$-0.447969\pi$
$109$	10.5966	−	4.83933i	1.01497	−	0.463524i	0.852243	+	0.523147i	$0.175242\pi$
$110$	1.91688	+	0.853792i	0.182767	+	0.0814059i
$111$	−0.178687	+	0.391271i	−0.0169603	+	0.0371378i
$112$	−3.17957	−	17.4451i	−0.300441	−	1.64841i
$113$	8.57667	+	13.3456i	0.806825	+	1.25544i	0.963477	+	0.267791i	$0.0862935\pi$
$113$	8.57667	+	13.3456i	0.806825	+	1.25544i	−0.156652	+	0.987654i	$0.550070\pi$
$114$	−3.23222	−	2.74813i	−0.302726	−	0.257386i
$115$	2.84955	+	2.74295i	0.265722	+	0.255781i
$116$	−1.04630	−	6.42054i	−0.0971463	−	0.596132i
$117$	−21.2502	+	13.6567i	−1.96458	+	1.26256i
$118$	−3.53616	+	3.12259i	−0.325530	+	0.287458i
$119$	−4.76946	−	2.17814i	−0.437216	−	0.199670i
$120$	6.18739	+	1.62934i	0.564829	+	0.148738i
$121$	−3.22486	−	7.06145i	−0.293169	−	0.641950i
$122$	−0.117169	−	12.5034i	−0.0106080	−	1.13201i
$123$	−10.5974	+	1.52368i	−0.955540	+	0.137386i
$124$	2.73710	+	0.341313i	0.245799	+	0.0306508i
$125$	5.80887	+	5.03342i	0.519562	+	0.450203i
$126$	27.1358	−	8.24478i	2.41745	−	0.734503i
$127$	−0.207729	+	0.323233i	−0.0184330	+	0.0286823i	−0.850348	−	0.526221i	$-0.823608\pi$
$127$	−0.207729	+	0.323233i	−0.0184330	+	0.0286823i	0.831915	+	0.554903i	$0.187245\pi$
$128$	9.09629	−	6.72736i	0.804006	−	0.594621i
$129$	−5.73063	+	19.5167i	−0.504554	+	1.71835i
$130$	3.46956	−	5.51162i	0.304300	−	0.483401i
$131$	−9.31097	+	8.06800i	−0.813503	+	0.704905i	−0.958676	−	0.284502i	$-0.908172\pi$
$131$	−9.31097	+	8.06800i	−0.813503	+	0.704905i	0.145172	+	0.989406i	$0.453626\pi$
$132$	5.49080	+	8.20173i	0.477913	+	0.713869i
$133$	4.65212	−	1.36599i	0.403390	−	0.118446i
$134$	−5.11160	−	10.9209i	−0.441575	−	0.943418i
$135$	−0.490532	+	3.41173i	−0.0422183	+	0.293635i
$136$	−0.0940320	−	3.34401i	−0.00806317	−	0.286746i
$137$			2.11763i			0.180921i	0.995900	+	0.0904607i	$0.0288340\pi$
$137$			2.11763i			0.180921i	−0.995900	+	0.0904607i	$0.971166\pi$
$138$	4.46960	+	18.0586i	0.380478	+	1.53725i
$139$		−	13.1024i		−	1.11134i	−0.831405	−	0.555668i	$-0.812463\pi$
$139$		−	13.1024i		−	1.11134i	0.831405	−	0.555668i	$-0.187537\pi$
$140$	−5.43545	+	4.89116i	−0.459379	+	0.413379i
$141$	0.557196	−	3.87539i	0.0469244	−	0.326366i
$142$	−0.0933634	+	0.0436996i	−0.00783488	+	0.00366719i
$143$	9.63957	−	2.83043i	0.806101	−	0.236693i
$144$	12.3537	+	13.2214i	1.02947	+	1.10179i
$145$	−2.02729	+	1.75666i	−0.168357	+	0.145883i
$146$	9.03179	+	5.68550i	0.747476	+	0.470535i
$147$	−9.77756	+	33.2993i	−0.806439	+	2.74648i
$148$	0.164590	−	0.266979i	0.0135292	−	0.0219455i
$149$	−1.14329	+	1.77899i	−0.0936618	+	0.145741i	−0.884922	−	0.465738i	$-0.845789\pi$
$149$	−1.14329	+	1.77899i	−0.0936618	+	0.145741i	0.791261	+	0.611479i	$0.209425\pi$
$150$	4.87147	+	16.0333i	0.397754	+	1.30912i
$151$	8.16163	+	7.07209i	0.664184	+	0.575518i	0.920341	−	0.391117i	$-0.127911\pi$
$151$	8.16163	+	7.07209i	0.664184	+	0.575518i	−0.256157	+	0.966635i	$0.582457\pi$
$152$	2.09070	+	2.28002i	0.169578	+	0.184934i
$153$	5.29595	−	0.761442i	0.428152	−	0.0615590i
$154$	−11.2792	+	0.105697i	−0.908903	+	0.00851731i
$155$	−0.472498	−	1.03463i	−0.0379519	−	0.0831031i
$156$	27.6213	−	13.2453i	2.21147	−	1.06048i
$157$	−0.00427673	−	0.00195312i	−0.000341320	−	0.000155876i	0.415244	−	0.909710i	$-0.363696\pi$
$157$	−0.00427673	−	0.00195312i	−0.000341320	−	0.000155876i	−0.415586	+	0.909554i	$0.636423\pi$
$158$	−4.63785	−	5.25210i	−0.368967	−	0.417834i
$159$	25.6305	−	16.4717i	2.03263	−	1.30629i
$160$	−4.32983	−	1.73715i	−0.342303	−	0.137334i
$161$	−20.0580	−	7.04879i	−1.58079	−	0.555523i
$162$	1.93041	−	2.27046i	0.151668	−	0.178384i
$163$	−0.530339	−	0.825223i	−0.0415393	−	0.0646365i	0.819863	−	0.572560i	$-0.194050\pi$
$163$	−0.530339	−	0.825223i	−0.0415393	−	0.0646365i	−0.861402	+	0.507923i	$0.830413\pi$
$164$	7.80518	−	0.146297i	0.609482	−	0.0114239i
$165$	1.69074	−	3.70220i	0.131624	−	0.288216i
$166$	−3.89051	+	8.73473i	−0.301962	+	0.677946i
$167$	−2.02965	+	0.926910i	−0.157059	+	0.0717264i	−0.492394	−	0.870373i	$-0.663878\pi$
$167$	−2.02965	+	0.926910i	−0.157059	+	0.0717264i	0.335335	+	0.942099i	$0.391151\pi$
$168$	−33.8919	+	5.84959i	−2.61482	+	0.451306i
$169$	−2.58738	−	17.9956i	−0.199029	−	1.38428i
$170$	−1.15345	+	0.756644i	−0.0884657	+	0.0580319i
$171$	−3.23998	+	3.73913i	−0.247767	+	0.285938i
$172$	5.90725	−	13.6042i	0.450424	−	1.03731i
$173$	−6.13970	−	3.94574i	−0.466792	−	0.299989i	0.286021	−	0.958223i	$-0.407667\pi$
$173$	−6.13970	−	3.94574i	−0.466792	−	0.299989i	−0.752813	+	0.658234i	$0.771304\pi$
$174$	−12.4714	+	1.91256i	−0.945455	+	0.144991i
$175$	−18.3746	−	5.39528i	−1.38899	−	0.407845i
$176$	−3.23283	−	6.42971i	−0.243684	−	0.484657i
$177$	5.99188	+	6.91499i	0.450377	+	0.519763i
$178$	0.924556	−	3.26150i	0.0692984	−	0.244460i
$179$	4.09297	+	13.9394i	0.305923	+	1.04188i	0.958722	+	0.284346i	$0.0917765\pi$
$179$	4.09297	+	13.9394i	0.305923	+	1.04188i	−0.652799	+	0.757531i	$0.726405\pi$
$180$	1.96762	−	7.19743i	0.146658	−	0.536465i
$181$	−6.34201	−	0.911843i	−0.471398	−	0.0677767i	−0.0974776	−	0.995238i	$-0.531077\pi$
$181$	−6.34201	−	0.911843i	−0.471398	−	0.0677767i	−0.373920	+	0.927461i	$0.621987\pi$
$182$	−4.65723	+	34.6968i	−0.345217	+	2.57190i
$183$	−24.2521			−1.79276
$184$	−1.60461	−	13.4694i	−0.118294	−	0.992979i
$185$	−0.129331			−0.00950859
$186$	0.711710	−	5.30231i	0.0521851	−	0.388784i
$187$	−2.10632	−	0.302843i	−0.154029	−	0.0221461i
$188$	−0.752811	+	2.75373i	−0.0549044	+	0.200837i
$189$	−5.21985	−	17.7772i	−0.379688	−	1.29310i
$190$	0.347898	−	1.22726i	0.0252392	−	0.0890348i
$191$	11.4756	+	13.2436i	0.830346	+	0.958270i	0.999627	−	0.0272973i	$-0.00869009\pi$
$191$	11.4756	+	13.2436i	0.830346	+	0.958270i	−0.169281	+	0.985568i	$0.554145\pi$
$192$	−12.8821	−	17.7642i	−0.929689	−	1.28202i
$193$	−1.59552	−	0.468488i	−0.114848	−	0.0337225i	0.223803	−	0.974634i	$-0.428153\pi$
$193$	−1.59552	−	0.468488i	−0.114848	−	0.0337225i	−0.338652	+	0.940912i	$0.609971\pi$
$194$	20.4151	−	3.13077i	1.46572	−	0.224776i
$195$	−10.6265	−	6.82925i	−0.760981	−	0.489053i
$196$	10.0789	−	23.2113i	0.719921	−	1.65795i
$197$	12.2361	−	14.1212i	0.871788	−	1.00610i	−0.128110	−	0.991760i	$-0.540891\pi$
$197$	12.2361	−	14.1212i	0.871788	−	1.00610i	0.999897	−	0.0143365i	$-0.00456361\pi$
$198$	9.62421	−	6.31331i	0.683963	−	0.448667i
$199$	2.28065	+	15.8623i	0.161671	+	1.12445i	0.895483	+	0.445095i	$0.146830\pi$
$199$	2.28065	+	15.8623i	0.161671	+	1.12445i	−0.733812	+	0.679352i	$0.762261\pi$
$200$	−2.07811	−	12.0403i	−0.146944	−	0.851380i
$201$	−21.2735	+	9.71528i	−1.50052	+	0.685263i
$202$	−8.62583	+	19.3662i	−0.606911	+	1.36260i
$203$	5.98997	−	13.1162i	0.420413	−	0.920577i
$204$	−6.48729	+	0.121595i	−0.454201	+	0.00851337i
$205$	−1.74038	−	2.70808i	−0.121553	−	0.189141i
$206$	8.94419	−	10.5197i	0.623171	−	0.732944i
$207$	21.1073	−	5.01475i	1.46706	−	0.348549i
$208$	−21.1802	+	7.09143i	−1.46859	+	0.491702i
$209$	1.65539	−	1.06385i	0.114506	−	0.0735882i
$210$	9.38743	+	10.6307i	0.647795	+	0.733591i
$211$	4.92387	+	2.24866i	0.338973	+	0.154804i	0.577627	−	0.816301i	$-0.303979\pi$
$211$	4.92387	+	2.24866i	0.338973	+	0.154804i	−0.238654	+	0.971105i	$0.576706\pi$
$212$	−20.0309	+	9.60550i	−1.37573	+	0.659708i
$213$	0.0830568	+	0.181869i	0.00569096	+	0.0124615i
$214$	23.1242	−	0.216696i	1.58074	−	0.0148130i
$215$	−6.05359	+	0.870374i	−0.412851	+	0.0593590i
$216$	8.71264	−	7.98921i	0.592820	−	0.543597i
$217$	4.62061	+	4.00378i	0.313667	+	0.271794i
$218$	4.78938	+	15.7632i	0.324378	+	1.06762i
$219$	11.1910	−	17.4135i	0.756215	−	1.17669i
$220$	−1.55735	+	2.52615i	−0.104996	+	0.170313i
$221$	−1.86069	+	6.33693i	−0.125164	+	0.426268i
$222$	−0.514804	−	0.324069i	−0.0345514	−	0.0217501i
$223$	−0.491089	+	0.425531i	−0.0328857	+	0.0284957i	−0.671149	−	0.741323i	$-0.734199\pi$
$223$	−0.491089	+	0.425531i	−0.0328857	+	0.0284957i	0.638263	+	0.769819i	$0.279653\pi$
$224$	25.0500	−	1.17454i	1.67372	−	0.0784772i
$225$	18.7500	−	5.50551i	1.25000	−	0.367034i
$226$	−20.3193	+	9.51063i	−1.35162	+	0.632638i
$227$	0.571561	−	3.97530i	0.0379359	−	0.263850i	−0.962023	−	0.272970i	$-0.911994\pi$
$227$	0.571561	−	3.97530i	0.0379359	−	0.263850i	0.999958	+	0.00912032i	$0.00290313\pi$
$228$	4.46001	−	4.01340i	0.295371	−	0.265794i
$229$			7.20933i			0.476406i	0.971215	+	0.238203i	$0.0765583\pi$
$229$			7.20933i			0.476406i	−0.971215	+	0.238203i	$0.923442\pi$
$230$	−4.38074	+	3.47800i	−0.288858	+	0.229333i
$231$			21.8775i			1.43943i
$232$	9.19615	−	0.258591i	0.603757	−	0.0169774i
$233$	2.23766	−	15.5632i	0.146594	−	1.01958i	−0.775149	−	0.631779i	$-0.782325\pi$
$233$	2.23766	−	15.5632i	0.146594	−	1.01958i	0.921742	−	0.387803i	$-0.126766\pi$
$234$	−15.1438	−	32.3545i	−0.989982	−	2.11508i
$235$	1.12951	−	0.331654i	0.0736811	−	0.0216347i
$236$	−3.71147	−	5.54391i	−0.241596	−	0.360878i
$237$	−10.2705	+	8.89947i	−0.667143	+	0.578083i
$238$	3.95029	−	6.27529i	0.256059	−	0.406767i
$239$	1.44182	−	4.91040i	0.0932638	−	0.317627i	−0.899627	−	0.436660i	$-0.856161\pi$
$239$	1.44182	−	4.91040i	0.0932638	−	0.317627i	0.992890	+	0.119033i	$0.0379794\pi$
$240$	−3.44784	+	8.36597i	−0.222557	+	0.540021i
$241$	−14.4681	+	22.5128i	−0.931972	+	1.45018i	−0.0394253	+	0.999223i	$0.512553\pi$
$241$	−14.4681	+	22.5128i	−0.931972	+	1.45018i	−0.892547	+	0.450955i	$0.851084\pi$
$242$	10.5044	−	3.19158i	0.675246	−	0.205162i
$243$	−13.8441	−	11.9960i	−0.888098	−	0.769541i
$244$	17.5474	+	2.18814i	1.12336	+	0.140081i
$245$	−10.3286	+	1.48503i	−0.659869	+	0.0948748i
$246$	−0.141881	−	15.1405i	−0.00904602	−	0.965323i
$247$	−2.53703	−	5.55531i	−0.161427	−	0.353476i
$248$	−0.993351	+	3.77223i	−0.0630779	+	0.239537i
$249$	16.8700	+	7.70426i	1.06909	+	0.488237i
$250$	−8.14793	+	7.19500i	−0.515320	+	0.455051i
$251$	−14.7287	+	9.46557i	−0.929669	+	0.597462i	−0.915448	−	0.402437i	$-0.868163\pi$
$251$	−14.7287	+	9.46557i	−0.929669	+	0.597462i	−0.0142209	+	0.999899i	$0.504527\pi$
$252$	6.45096	+	39.5859i	0.406373	+	2.49368i
$253$	−8.61671	−	0.451415i	−0.541728	−	0.0283802i
$254$	−0.413976	−	0.351975i	−0.0259751	−	0.0220849i
$255$	1.44652	+	2.25083i	0.0905845	+	0.140952i
$256$	7.71801	+	14.0154i	0.482376	+	0.875965i
$257$	6.01663	−	13.1746i	0.375307	−	0.821807i	−0.623881	−	0.781519i	$-0.714445\pi$
$257$	6.01663	−	13.1746i	0.375307	−	0.821807i	0.999188	−	0.0402882i	$-0.0128276\pi$
$258$	−26.2774	−	11.7041i	−1.63596	−	0.728668i
$259$	0.632370	−	0.288794i	0.0392936	−	0.0179448i
$260$	7.07257	+	5.90002i	0.438622	+	0.365904i
$261$	2.09400	+	14.5641i	0.129615	+	0.901492i
$262$	−9.55672	−	14.5686i	−0.590416	−	0.900049i
$263$	11.9863	−	13.8329i	0.739108	−	0.852976i	−0.254357	−	0.967110i	$-0.581864\pi$
$263$	11.9863	−	13.8329i	0.739108	−	0.852976i	0.993465	+	0.114134i	$0.0364094\pi$
$264$	−12.5289	+	6.15310i	−0.771102	+	0.378697i
$265$	7.70634	+	4.95256i	0.473397	+	0.304234i
$266$	1.03939	+	6.77761i	0.0637289	+	0.415562i
$267$	−6.30875	−	1.85242i	−0.386089	−	0.113366i
$268$	16.2688	−	5.11002i	0.993777	−	0.312144i
$269$	−0.842434	−	0.972221i	−0.0513641	−	0.0592773i	0.729486	−	0.683996i	$-0.239759\pi$
$269$	−0.842434	−	0.972221i	−0.0513641	−	0.0592773i	−0.780850	+	0.624718i	$0.785214\pi$
$270$	−4.68974	−	1.32943i	−0.285408	−	0.0809063i
$271$	−6.81395	−	23.2062i	−0.413918	−	1.40968i	−0.857982	−	0.513680i	$-0.828282\pi$
$271$	−6.81395	−	23.2062i	−0.413918	−	1.40968i	0.444063	−	0.895995i	$-0.353536\pi$
$272$	4.70480	+	0.497335i	0.285270	+	0.0301554i
$273$	67.2086	+	9.66313i	4.06765	+	0.584839i
$274$	−2.96816	−	0.398406i	−0.179313	−	0.0240686i
$275$	−7.77214			−0.468677
$276$	−26.1526	+	2.86728i	−1.57420	+	0.172590i
$277$	16.8951			1.01513			0.507563	−	0.861615i	$-0.330547\pi$
$277$	16.8951			1.01513			0.507563	+	0.861615i	$0.330547\pi$
$278$	18.3650	+	2.46506i	1.10146	+	0.147845i
$279$	−6.17535	−	0.887881i	−0.369708	−	0.0531560i
$280$	−5.83305	−	8.53877i	−0.348591	−	0.510289i
$281$	7.86775	+	26.7951i	0.469351	+	1.59846i	0.765577	+	0.643344i	$0.222454\pi$
$281$	7.86775	+	26.7951i	0.469351	+	1.59846i	−0.296226	+	0.955118i	$0.595728\pi$
$282$	5.32708	+	1.51010i	0.317223	+	0.0899249i
$283$	1.36592	+	1.57636i	0.0811958	+	0.0937049i	0.794894	−	0.606749i	$-0.207527\pi$
$283$	1.36592	+	1.57636i	0.0811958	+	0.0937049i	−0.713698	+	0.700454i	$0.752981\pi$
$284$	−0.0436860	−	0.139084i	−0.00259229	−	0.00825310i
$285$	−2.37390	−	0.697041i	−0.140618	−	0.0412891i
$286$	2.15369	+	14.0437i	0.127350	+	0.830424i
$287$	14.5568	+	9.35507i	0.859259	+	0.552213i
$288$	−20.8559	+	14.8280i	−1.22895	+	0.873749i
$289$	−10.2165	+	11.7905i	−0.600973	+	0.693560i
$290$	−2.08080	−	3.17203i	−0.122189	−	0.186268i
$291$	−5.70097	−	39.6511i	−0.334197	−	2.32439i
$292$	−9.66826	+	11.5897i	−0.565792	+	0.678235i
$293$	−29.2081	+	13.3389i	−1.70636	+	0.779267i	−0.709110	+	0.705098i	$0.750903\pi$
$293$	−29.2081	+	13.3389i	−1.70636	+	0.779267i	−0.997246	+	0.0741690i	$0.976370\pi$
$294$	−44.8342	−	19.9695i	−2.61479	−	1.16465i
$295$	−1.14284	+	2.50248i	−0.0665389	+	0.145700i
$296$	0.343244	+	0.280925i	0.0199506	+	0.0163285i
$297$	−4.06531	−	6.32574i	−0.235893	−	0.367057i
$298$	−2.27842	−	1.93718i	−0.131985	−	0.112218i
$299$	−5.19270	+	26.2715i	−0.300302	+	1.51932i
$300$	−23.3895	+	3.81158i	−1.35040	+	0.220062i
$301$	27.6558	−	17.7733i	1.59406	−	1.02444i
$302$	−11.4481	+	10.1092i	−0.658762	+	0.581717i
$303$	37.4032	+	17.0815i	2.14876	+	0.981304i
$304$	−3.58911	+	2.50146i	−0.205850	+	0.143469i
$305$	−3.02915	−	6.63292i	−0.173449	−	0.379800i
$306$	0.0709035	+	7.56629i	0.00405328	+	0.432536i
$307$	7.62425	−	1.09620i	0.435139	−	0.0625636i	0.0787353	−	0.996896i	$-0.474912\pi$
$307$	7.62425	−	1.09620i	0.435139	−	0.0625636i	0.356404	+	0.934332i	$0.384003\pi$
$308$	1.97389	−	15.8293i	0.112473	−	0.901958i
$309$	−20.2401	−	17.5381i	−1.15142	−	0.997708i
$310$	1.53907	−	0.467621i	0.0874133	−	0.0265591i
$311$	−11.7025	+	18.2094i	−0.663587	+	1.03256i	0.332407	+	0.943136i	$0.392139\pi$
$311$	−11.7025	+	18.2094i	−0.663587	+	1.03256i	−0.995994	+	0.0894251i	$0.971497\pi$
$312$	13.3686	+	41.2072i	0.756849	+	2.33290i
$313$	5.58605	−	19.0244i	0.315742	−	1.07532i	−0.636829	−	0.771005i	$-0.719754\pi$
$313$	5.58605	−	19.0244i	0.315742	−	1.07532i	0.952571	−	0.304315i	$-0.0984275\pi$
$314$	0.00354219	−	0.00562699i	0.000199897	−	0.000317550i
$315$	12.4993	−	10.8307i	0.704256	−	0.610241i
$316$	8.23412	−	5.51249i	0.463206	−	0.310102i
$317$	−6.03904	+	1.77322i	−0.339186	+	0.0995941i	−0.446890	−	0.894589i	$-0.647468\pi$
$317$	−6.03904	+	1.77322i	−0.339186	+	0.0995941i	0.107704	+	0.994183i	$0.465650\pi$
$318$	18.2654	+	39.0238i	1.02428	+	2.18835i
$319$	0.832829	−	5.79245i	0.0466295	−	0.324315i
$320$	3.24947	−	5.74205i	0.181651	−	0.320991i
$321$		−	44.8524i		−	2.50342i
$322$	13.6536	−	26.7880i	0.760883	−	1.49284i
$323$			1.29358i			0.0719769i
$324$	2.81919	+	3.13291i	0.156622	+	0.174051i
$325$	−3.43290	+	23.8763i	−0.190423	+	1.32442i
$326$	1.25645	−	0.588090i	0.0695881	−	0.0325713i
$327$	30.6591	−	9.00234i	1.69545	−	0.497830i
$328$	−1.26339	+	10.9676i	−0.0697591	+	0.605584i
$329$	−4.78222	+	4.14382i	−0.263653	+	0.228456i
$330$	4.87107	+	3.06633i	0.268144	+	0.168796i
$331$	−4.35858	+	14.8440i	−0.239569	+	0.815898i	0.748665	+	0.662949i	$0.230695\pi$
$331$	−4.35858	+	14.8440i	−0.239569	+	0.815898i	−0.988234	+	0.152949i	$0.951123\pi$
$332$	−11.5110	−	7.09644i	−0.631749	−	0.389468i
$333$	−0.383529	+	0.596782i	−0.0210172	+	0.0327035i
$334$	−0.917344	−	3.01923i	−0.0501948	−	0.165205i
$335$	−5.31424	−	4.60482i	−0.290348	−	0.251588i
$336$	−1.82270	−	48.6049i	−0.0994365	−	2.65161i
$337$	−14.7761	+	2.12448i	−0.804906	+	0.115728i	−0.532473	−	0.846447i	$-0.678737\pi$
$337$	−14.7761	+	2.12448i	−0.804906	+	0.115728i	−0.272433	+	0.962175i	$0.587828\pi$
$338$	25.7103	−	0.240930i	1.39845	−	0.0131049i
$339$	18.0762	+	39.5814i	0.981765	+	2.14977i
$340$	−0.843537	−	1.75908i	−0.0457472	−	0.0953995i
$341$	2.25710	+	1.03078i	0.122229	+	0.0558200i
$342$	−4.63137	−	5.24476i	−0.250436	−	0.283604i
$343$	21.0805	−	13.5476i	1.13824	−	0.731502i
$344$	17.9568	+	10.8393i	0.968165	+	0.584417i
$345$	6.66583	+	8.55949i	0.358876	+	0.460828i
$346$	6.68563	−	7.86332i	0.359422	−	0.422735i
$347$	−19.4169	−	30.2132i	−1.04235	−	1.62193i	−0.744877	−	0.667202i	$-0.767492\pi$
$347$	−19.4169	−	30.2132i	−1.04235	−	1.62193i	−0.297475	−	0.954730i	$-0.596145\pi$
$348$	−0.334391	−	17.8403i	−0.0179253	−	0.956340i
$349$	0.798728	−	1.74897i	0.0427549	−	0.0936202i	−0.887049	−	0.461675i	$-0.847249\pi$
$349$	0.798728	−	1.74897i	0.0427549	−	0.0936202i	0.929804	+	0.368055i	$0.119976\pi$
$350$	11.0192	−	24.7396i	0.589002	−	1.32239i
$351$	−21.2285	+	9.69475i	−1.13310	+	0.517468i
$352$	9.62037	−	3.32161i	0.512768	−	0.177042i
$353$	−2.60730	−	18.1342i	−0.138773	−	0.965185i	−0.933592	−	0.358339i	$-0.883343\pi$
$353$	−2.60730	−	18.1342i	−0.138773	−	0.965185i	0.794819	−	0.606847i	$-0.207566\pi$
$354$	−10.8197	+	7.09750i	−0.575058	+	0.377228i
$355$	−0.0393670	+	0.0454319i	−0.00208938	+	0.00241128i
$356$	4.39752	+	1.90951i	0.233068	+	0.101204i
$357$	−12.0989	−	7.77549i	−0.640342	−	0.411523i
$358$	−20.3081	+	3.11436i	−1.07331	+	0.164599i
$359$	−12.1848	−	3.57778i	−0.643088	−	0.188828i	−0.0561025	−	0.998425i	$-0.517867\pi$
$359$	−12.1848	−	3.57778i	−0.643088	−	0.188828i	−0.586986	+	0.809597i	$0.699686\pi$
$360$	9.71805	+	4.11201i	0.512186	+	0.216722i
$361$	11.6590	+	13.4552i	0.613632	+	0.708170i
$362$	2.47125	−	8.71768i	0.129886	−	0.458191i
$363$	−5.99903	−	20.4308i	−0.314867	−	1.07234i
$364$	−47.7564	−	13.0556i	−2.50311	−	0.684297i
$365$	6.16035	+	0.885725i	0.322448	+	0.0463610i
$366$	4.56272	−	33.9927i	0.238497	−	1.77683i
$367$	−12.1776			−0.635665			−0.317833	−	0.948147i	$-0.602955\pi$
$367$	−12.1776			−0.635665			−0.317833	+	0.948147i	$0.602955\pi$
$368$	19.1812	+	0.285009i	0.999890	+	0.0148571i
$369$	−17.6572			−0.919197
$370$	0.0243320	−	0.181276i	0.00126496	−	0.00942407i
$371$	−48.7396	−	7.00769i	−2.53043	−	0.363821i
$372$	7.29804	+	1.99513i	0.378386	+	0.103442i
$373$	1.46017	+	4.97287i	0.0756045	+	0.257485i	0.988619	−	0.150442i	$-0.0480697\pi$
$373$	1.46017	+	4.97287i	0.0756045	+	0.257485i	−0.913014	+	0.407928i	$0.866252\pi$
$374$	0.820755	−	2.89533i	0.0424402	−	0.149714i
$375$	13.8063	+	15.9334i	0.712956	+	0.822795i
$376$	−3.71812	−	1.57325i	−0.191747	−	0.0811343i
$377$	−17.4268	−	5.11697i	−0.897525	−	0.263537i
$378$	25.8993	−	3.97181i	1.33212	−	0.204288i
$379$	−19.3810	−	12.4554i	−0.995533	−	0.639790i	−0.0619228	−	0.998081i	$-0.519723\pi$
$379$	−19.3810	−	12.4554i	−0.995533	−	0.639790i	−0.933610	+	0.358291i	$0.883360\pi$
$380$	1.65473	+	0.718523i	0.0848858	+	0.0368595i
$381$	−0.690165	+	0.796493i	−0.0353582	+	0.0408056i
$382$	−20.7217	+	13.5931i	−1.06022	+	0.695484i
$383$	2.61350	+	18.1773i	0.133543	+	0.928815i	0.940884	+	0.338729i	$0.109997\pi$
$383$	2.61350	+	18.1773i	0.133543	+	0.928815i	−0.807340	+	0.590086i	$0.799094\pi$
$384$	27.3227	−	14.7141i	1.39430	−	0.750874i
$385$	−5.98348	+	2.73256i	−0.304946	+	0.139264i
$386$	0.956831	−	2.14821i	0.0487014	−	0.109341i
$387$	−13.9356	+	30.5147i	−0.708386	+	1.55115i
$388$	0.547381	+	29.2036i	0.0277891	+	1.48259i
$389$	−10.0620	−	15.6568i	−0.510165	−	0.793832i	0.486649	−	0.873598i	$-0.338219\pi$
$389$	−10.0620	−	15.6568i	−0.510165	−	0.793832i	−0.996814	+	0.0797657i	$0.974583\pi$
$390$	11.5714	−	13.6097i	0.585941	−	0.689156i
$391$	3.31212	−	4.60486i	0.167501	−	0.232878i
$392$	30.6377	+	18.4939i	1.54744	+	0.934085i
$393$	−28.4289	+	18.2701i	−1.43405	+	0.921606i
$394$	17.4909	+	19.8074i	0.881177	+	0.997883i
$395$	−3.71682	−	1.69741i	−0.187013	−	0.0854062i
$396$	7.03834	+	14.6775i	0.353690	+	0.737571i
$397$	5.47139	+	11.9807i	0.274601	+	0.601293i	0.995812	−	0.0914225i	$-0.0291414\pi$
$397$	5.47139	+	11.9807i	0.274601	+	0.601293i	−0.721211	+	0.692716i	$0.756414\pi$
$398$	−22.6623	+	0.212368i	−1.13596	+	0.0106451i
$399$	13.1638	−	1.89267i	0.659015	−	0.0947520i
$400$	17.2672	−	0.647527i	0.863361	−	0.0323764i
$401$	2.94021	+	2.54771i	0.146827	+	0.127226i	0.725177	−	0.688562i	$-0.241758\pi$
$401$	2.94021	+	2.54771i	0.146827	+	0.127226i	−0.578350	+	0.815789i	$0.696303\pi$
$402$	−9.61501	−	31.6457i	−0.479553	−	1.57834i
$403$	4.16355	−	6.47861i	0.207401	−	0.322722i
$404$	−25.5216	−	15.7338i	−1.26975	−	0.782788i
$405$	0.489633	−	1.66754i	0.0243300	−	0.0828605i
$406$	17.2573	+	10.8634i	0.856465	+	0.539144i
$407$	0.213229	−	0.184764i	0.0105694	−	0.00915842i
$408$	1.05007	−	9.11574i	0.0519862	−	0.451297i
$409$	−19.0255	+	5.58639i	−0.940750	+	0.276229i	−0.715931	−	0.698171i	$-0.753997\pi$
$409$	−19.0255	+	5.58639i	−0.940750	+	0.276229i	−0.224820	+	0.974400i	$0.572179\pi$
$410$	4.12319	−	1.92990i	0.203630	−	0.0953108i
$411$	−0.826639	+	5.74940i	−0.0407751	+	0.283597i
$412$	13.0622	+	14.5157i	0.643527	+	0.715138i
$413$		−	14.7879i		−	0.727667i
$414$	3.05781	+	30.5284i	0.150283	+	1.50039i
$415$			5.57621i			0.273725i
$416$	−5.95486	−	31.0213i	−0.291961	−	1.52095i
$417$	5.11468	−	35.5733i	0.250467	−	1.74203i
$418$	1.17970	+	2.52041i	0.0577011	+	0.123277i
$419$	−3.24677	+	0.953337i	−0.158615	+	0.0465735i	−0.360076	−	0.932923i	$-0.617249\pi$
$419$	−3.24677	+	0.953337i	−0.158615	+	0.0465735i	0.201461	+	0.979497i	$0.435431\pi$
$420$	−16.6666	+	11.1578i	−0.813249	+	0.544445i
$421$	10.1159	−	8.76549i	0.493020	−	0.427204i	−0.372535	−	0.928018i	$-0.621511\pi$
$421$	10.1159	−	8.76549i	0.493020	−	0.427204i	0.865555	+	0.500814i	$0.166966\pi$
$422$	−4.07818	+	6.47846i	−0.198523	+	0.315366i
$423$	1.81917	−	6.19551i	0.0884509	−	0.301236i
$424$	−9.69491	−	29.8834i	−0.470826	−	1.45127i
$425$	2.76230	−	4.29822i	0.133991	−	0.208494i
$426$	−0.270542	+	0.0821996i	−0.0131078	+	0.00398258i
$427$	29.6224	+	25.6680i	1.43353	+	1.24216i
$428$	−4.04680	+	32.4526i	−0.195609	+	1.56866i
$429$	27.2765	−	3.92176i	1.31692	−	0.189344i
$430$	−0.0810470	−	8.64872i	−0.00390843	−	0.417078i
$431$	−1.01926	−	2.23187i	−0.0490960	−	0.107505i	0.883494	−	0.468442i	$-0.155184\pi$
$431$	−1.01926	−	2.23187i	−0.0490960	−	0.107505i	−0.932590	+	0.360936i	$0.882457\pi$
$432$	9.55884	+	13.7151i	0.459900	+	0.659868i
$433$	20.8585	+	9.52577i	1.00240	+	0.457779i	0.847867	−	0.530209i	$-0.177886\pi$
$433$	20.8585	+	9.52577i	1.00240	+	0.457779i	0.154530	+	0.987988i	$0.450614\pi$
$434$	−6.48118	+	5.72318i	−0.311107	+	0.274722i
$435$	−6.18986	+	3.97798i	−0.296781	+	0.190730i
$436$	−22.9954	+	3.74736i	−1.10128	+	0.179466i
$437$	0.473832	+	5.22378i	0.0226664	+	0.249887i
$438$	22.3020	+	18.9619i	1.06563	+	0.906033i
$439$	−2.06444	−	3.21233i	−0.0985303	−	0.153316i	0.788488	−	0.615050i	$-0.210864\pi$
$439$	−2.06444	−	3.21233i	−0.0985303	−	0.153316i	−0.887019	+	0.461733i	$0.847228\pi$
$440$	−3.24777	−	2.65811i	−0.154831	−	0.126721i
$441$	−23.7768	+	52.0639i	−1.13223	+	2.47923i
$442$	−8.53205	−	3.80024i	−0.405828	−	0.180759i
$443$	2.96046	−	1.35200i	0.140656	−	0.0642352i	−0.343844	−	0.939027i	$-0.611729\pi$
$443$	2.96046	−	1.35200i	0.140656	−	0.0642352i	0.484499	+	0.874792i	$0.339002\pi$
$444$	0.551083	−	0.660602i	0.0261532	−	0.0313508i
$445$	−0.281347	−	1.95681i	−0.0133371	−	0.0927617i
$446$	−0.504050	−	0.768390i	−0.0238675	−	0.0363843i
$447$	−3.79849	+	4.38369i	−0.179663	+	0.207342i
$448$	−3.06656	+	35.3321i	−0.144881	+	1.66929i
$449$	−26.8441	−	17.2517i	−1.26685	−	0.814157i	−0.277646	−	0.960683i	$-0.589554\pi$
$449$	−26.8441	−	17.2517i	−1.26685	−	0.814157i	−0.989207	+	0.146526i	$0.953191\pi$
$450$	4.18917	+	27.3167i	0.197479	+	1.28772i
$451$	6.73819	+	1.97851i	0.317289	+	0.0931645i
$452$	−9.50768	−	30.2697i	−0.447204	−	1.42377i
$453$	19.3983	+	22.3868i	0.911411	+	1.05182i
$454$	5.46441	+	1.54903i	0.256458	+	0.0726995i
$455$	5.75168	+	19.5884i	0.269643	+	0.918320i
$456$	4.78626	+	7.00641i	0.224137	+	0.328105i
$457$	−35.5544	−	5.11195i	−1.66316	−	0.239127i	−0.754393	−	0.656423i	$-0.772069\pi$
$457$	−35.5544	−	5.11195i	−1.66316	−	0.239127i	−0.908770	+	0.417297i	$0.862978\pi$
$458$	−10.1049	−	1.35635i	−0.472171	−	0.0633779i
$459$	4.94317			0.230728
$460$	−4.05073	−	6.79458i	−0.188866	−	0.316799i
$461$	−0.862391			−0.0401656			−0.0200828	−	0.999798i	$-0.506393\pi$
$461$	−0.862391			−0.0401656			−0.0200828	+	0.999798i	$0.506393\pi$
$462$	−30.6644	−	4.11598i	−1.42664	−	0.191493i
$463$	27.6822	+	3.98009i	1.28650	+	0.184971i	0.751416	−	0.659829i	$-0.229371\pi$
$463$	27.6822	+	3.98009i	1.28650	+	0.184971i	0.535083	+	0.844799i	$0.320280\pi$
$464$	−1.36769	+	12.9384i	−0.0634934	+	0.600649i
$465$	−0.878962	−	2.99347i	−0.0407609	−	0.138819i
$466$	21.3931	+	6.06443i	0.991017	+	0.280929i
$467$	13.7903	+	15.9149i	0.638140	+	0.736453i	0.979045	−	0.203645i	$-0.0652789\pi$
$467$	13.7903	+	15.9149i	0.638140	+	0.736453i	−0.340905	+	0.940098i	$0.610733\pi$
$468$	48.1986	−	15.1391i	2.22798	−	0.699806i
$469$	36.2668	+	10.6489i	1.67464	+	0.491720i
$470$	0.252357	+	1.64557i	0.0116404	+	0.0759043i
$471$	−0.0108490	−	0.00697221i	−0.000499894	−	0.000321262i
$472$	8.46885	−	4.15914i	0.389810	−	0.191440i
$473$	8.73719	−	10.0833i	0.401737	−	0.463629i
$474$	−10.5416	−	16.0700i	−0.484192	−	0.738118i
$475$	0.672385	+	4.67654i	0.0308511	+	0.214574i
$476$	8.05253	+	6.71752i	0.369087	+	0.307897i
$477$	45.7061	−	20.8733i	2.09274	−	0.955721i
$478$	6.61137	+	2.94475i	0.302397	+	0.134690i
$479$	10.9740	−	24.0296i	0.501413	−	1.09794i	−0.474595	−	0.880205i	$-0.657405\pi$
$479$	10.9740	−	24.0296i	0.501413	−	1.09794i	0.976008	−	0.217737i	$-0.0698674\pi$
$480$	−11.0774	−	6.40659i	−0.505614	−	0.292420i
$481$	−0.473421	−	0.736658i	−0.0215862	−	0.0335887i
$482$	−28.8329	−	24.5146i	−1.31330	−	1.11661i
$483$	−51.7062	−	26.9674i	−2.35271	−	1.22706i
$484$	2.49719	+	15.3238i	0.113508	+	0.696537i
$485$	10.1325	−	6.51175i	0.460092	−	0.295683i
$486$	19.4186	−	17.1476i	0.880848	−	0.777829i
$487$	−29.5720	−	13.5051i	−1.34004	−	0.611974i	−0.389053	−	0.921215i	$-0.627198\pi$
$487$	−29.5720	−	13.5051i	−1.34004	−	0.611974i	−0.950984	+	0.309241i	$0.899925\pi$
$488$	−6.36831	+	24.1835i	−0.288280	+	1.09474i
$489$	−1.11774	−	2.44752i	−0.0505461	−	0.110681i
$490$	−0.138282	−	14.7564i	−0.00624693	−	0.666625i
$491$	38.5590	−	5.54395i	1.74014	−	0.250195i	0.802218	−	0.597032i	$-0.203653\pi$
$491$	38.5590	−	5.54395i	1.74014	−	0.250195i	0.937925	+	0.346837i	$0.112744\pi$
$492$	21.2483	+	2.64963i	0.957946	+	0.119455i
$493$	2.90740	+	2.51928i	0.130943	+	0.113463i
$494$	8.26388	−	2.51084i	0.371810	−	0.112968i
$495$	3.62894	−	5.64674i	0.163109	−	0.253802i
$496$	−5.10043	−	2.10202i	−0.229016	−	0.0943836i
$497$	0.0910383	−	0.310048i	0.00408363	−	0.0139076i
$498$	−13.9725	+	22.1962i	−0.626122	+	0.994636i
$499$	12.4654	−	10.8014i	0.558030	−	0.483536i	−0.329583	−	0.944127i	$-0.606908\pi$
$499$	12.4654	−	10.8014i	0.558030	−	0.483536i	0.887612	+	0.460591i	$0.152363\pi$
$500$	−8.55189	−	12.7741i	−0.382452	−	0.571277i
$501$	−5.87236	+	1.72428i	−0.262358	+	0.0770352i
$502$	−10.4963	−	22.4252i	−0.468474	−	1.00089i
$503$	−3.79806	+	26.4161i	−0.169347	+	1.17784i	0.710890	+	0.703303i	$0.248292\pi$
$503$	−3.79806	+	26.4161i	−0.169347	+	1.17784i	−0.880237	+	0.474533i	$0.842617\pi$
$504$	−56.6990	+	1.59435i	−2.52557	+	0.0710180i
$505$			12.3633i			0.550158i
$506$	2.25385	−	11.9926i	0.100196	−	0.533137i
$507$		−	49.8685i		−	2.21474i
$508$	0.571227	−	0.514027i	0.0253441	−	0.0228062i
$509$	−2.87997	+	20.0306i	−0.127652	+	0.887842i	0.820866	+	0.571121i	$0.193491\pi$
$509$	−2.87997	+	20.0306i	−0.127652	+	0.887842i	−0.948519	+	0.316721i	$0.897418\pi$
$510$	−3.42700	+	1.60404i	−0.151750	+	0.0710280i
$511$	−32.0992	+	9.42518i	−1.41999	+	0.416945i
$512$	−21.0967	+	8.18107i	−0.932351	+	0.361555i
$513$	−3.45453	+	2.99337i	−0.152521	+	0.132161i
$514$	17.3341	+	10.9118i	0.764574	+	0.481299i
$515$	2.26862	−	7.72620i	0.0999672	−	0.340457i
$516$	21.3488	−	34.6295i	0.939828	−	1.52448i
$517$	−1.38843	+	2.16044i	−0.0610631	+	0.0950161i
$518$	0.285813	+	0.940690i	0.0125579	+	0.0413316i
$519$	−15.1291	−	13.1094i	−0.664094	−	0.575441i
$520$	−9.60035	+	8.80320i	−0.421003	+	0.386046i
$521$	2.03908	−	0.293176i	0.0893339	−	0.0128443i	−0.0975029	−	0.995235i	$-0.531086\pi$
$521$	2.03908	−	0.293176i	0.0893339	−	0.0128443i	0.186837	+	0.982391i	$0.440176\pi$
$522$	−20.8076	+	0.194987i	−0.910723	+	0.00853436i
$523$	14.2846	+	31.2790i	0.624624	+	1.36774i	0.912108	+	0.409950i	$0.134454\pi$
$523$	14.2846	+	31.2790i	0.624624	+	1.36774i	−0.287484	+	0.957785i	$0.592819\pi$
$524$	22.2179	−	10.6542i	0.970594	−	0.465432i
$525$	−47.7813	−	21.8210i	−2.08535	−	0.952347i
$526$	17.1338	+	19.4030i	0.747068	+	0.846013i
$527$	−1.37225	+	0.881891i	−0.0597761	+	0.0384158i
$528$	−6.26728	−	18.7187i	−0.272748	−	0.814628i
$529$	11.6883	−	19.8087i	0.508188	−	0.861246i
$530$	−8.39158	+	9.86977i	−0.364507	+	0.428716i
$531$	8.15831	+	12.6946i	0.354040	+	0.550898i
$532$	−9.69534	+	0.181726i	−0.420346	+	0.00787881i
$533$	9.05428	−	19.8261i	0.392185	−	0.858764i
$534$	3.78334	−	8.49411i	0.163721	−	0.367576i
$535$	12.2671	−	5.60219i	0.530353	−	0.242204i
$536$	4.10165	+	23.7645i	0.177164	+	1.02647i
$537$	5.67109	+	39.4433i	0.244726	+	1.70211i
$538$	1.52120	−	0.997881i	0.0655836	−	0.0430217i
$539$	14.9073	−	17.2040i	0.642104	−	0.741027i
$540$	2.74570	−	6.32322i	0.118156	−	0.272108i
$541$	28.6871	+	18.4361i	1.23335	+	0.792629i	0.984410	−	0.175889i	$-0.0562801\pi$
$541$	28.6871	+	18.4361i	1.23335	+	0.792629i	0.248944	+	0.968518i	$0.419916\pi$
$542$	33.8088	−	5.18477i	1.45221	−	0.222705i
$543$	−16.8627	−	4.95133i	−0.723648	−	0.212482i
$544$	−1.58224	+	6.50088i	−0.0678378	+	0.278723i
$545$	6.29155	+	7.26083i	0.269500	+	0.311020i
$546$	−26.1887	+	92.3844i	−1.12077	+	3.95369i
$547$	0.997135	+	3.39593i	0.0426344	+	0.145199i	0.978060	−	0.208325i	$-0.0668012\pi$
$547$	0.997135	+	3.39593i	0.0426344	+	0.145199i	−0.935425	+	0.353525i	$0.884983\pi$
$548$	1.11685	−	4.08535i	0.0477093	−	0.174518i
$549$	−39.5897	−	5.69215i	−1.68965	−	0.242935i
$550$	1.46223	−	10.8938i	0.0623498	−	0.464512i
$551$	−3.55740			−0.151550
$552$	0.901376	−	37.1961i	0.0383651	−	1.58317i
$553$	21.9639			0.934000
$554$	−3.17860	+	23.6808i	−0.135046	+	1.00610i
$555$	−0.351135	−	0.0504856i	−0.0149048	−	0.00214299i
$556$	−6.91028	+	25.2774i	−0.293061	+	1.07200i
$557$	0.722075	+	2.45916i	0.0305953	+	0.104198i	0.973375	−	0.229218i	$-0.0736168\pi$
$557$	0.722075	+	2.45916i	0.0305953	+	0.104198i	−0.942780	+	0.333416i	$0.891799\pi$
$558$	2.40631	−	8.48859i	0.101867	−	0.359351i
$559$	−27.1170	−	31.2947i	−1.14693	−	1.32363i
$560$	13.0657	−	6.56939i	0.552128	−	0.277608i
$561$	−5.60047	−	1.64445i	−0.236452	−	0.0694285i
$562$	−39.0374	+	5.98662i	−1.64669	+	0.252530i
$563$	16.0919	+	10.3416i	0.678193	+	0.435848i	0.833871	−	0.551959i	$-0.186120\pi$
$563$	16.0919	+	10.3416i	0.678193	+	0.435848i	−0.155678	+	0.987808i	$0.549756\pi$
$564$	−3.11884	+	7.18256i	−0.131327	+	0.302440i
$565$	−8.56770	+	9.88766i	−0.360446	+	0.415977i
$566$	−2.46648	+	1.61797i	−0.103674	+	0.0680082i
$567$	1.32950	+	9.24685i	0.0558336	+	0.388331i
$568$	0.203165	−	0.0350654i	0.00852461	−	0.00147131i
$569$	11.7606	−	5.37091i	0.493032	−	0.225160i	−0.153353	−	0.988171i	$-0.549007\pi$
$569$	11.7606	−	5.37091i	0.493032	−	0.225160i	0.646385	+	0.763011i	$0.276280\pi$
$570$	1.42362	−	3.19623i	0.0596290	−	0.133875i
$571$	−4.12028	+	9.02216i	−0.172429	+	0.377566i	−0.976041	−	0.217587i	$-0.930181\pi$
$571$	−4.12028	+	9.02216i	−0.172429	+	0.377566i	0.803612	+	0.595153i	$0.202909\pi$
$572$	−20.0895	+	0.376550i	−0.839985	+	0.0157443i
$573$	25.9867	+	40.4361i	1.08561	+	1.68924i
$574$	−15.8512	+	18.6434i	−0.661614	+	0.778159i
$575$	9.58037	−	18.3690i	0.399529	−	0.766040i
$576$	−16.8598	−	32.0223i	−0.702491	−	1.33426i
$577$	−14.5205	+	9.33175i	−0.604496	+	0.388486i	−0.806790	−	0.590839i	$-0.798797\pi$
$577$	−14.5205	+	9.33175i	−0.604496	+	0.388486i	0.202294	+	0.979325i	$0.435160\pi$
$578$	−14.6040	−	16.5382i	−0.607446	−	0.687898i
$579$	−4.14899	−	1.89478i	−0.172426	−	0.0787444i
$580$	4.83754	−	2.31976i	0.200868	−	0.0963228i
$581$	−12.4516	−	27.2652i	−0.516579	−	1.13115i
$582$	56.6493	−	0.530859i	2.34819	−	0.0220048i
$583$	−19.7809	+	2.84406i	−0.819239	+	0.117789i
$584$	−14.4256	−	15.7319i	−0.596937	−	0.650991i
$585$	−15.7441	−	13.6424i	−0.650940	−	0.564043i
$586$	−13.2012	−	43.4489i	−0.545338	−	1.79486i
$587$	−2.78713	+	4.33685i	−0.115037	+	0.179001i	−0.893998	−	0.448072i	$-0.852111\pi$
$587$	−2.78713	+	4.33685i	−0.115037	+	0.179001i	0.778960	+	0.627073i	$0.215747\pi$
$588$	36.4251	−	59.0846i	1.50215	−	2.43661i
$589$	0.424961	−	1.44728i	0.0175102	−	0.0596343i
$590$	−3.29257	−	2.07267i	−0.135553	−	0.0853304i
$591$	38.7336	−	33.5629i	1.59329	−	1.38059i
$592$	−0.458334	+	0.428252i	−0.0188374	+	0.0176011i
$593$	14.1018	−	4.14067i	0.579093	−	0.170037i	0.0209481	−	0.999781i	$-0.493332\pi$
$593$	14.1018	−	4.14067i	0.579093	−	0.170037i	0.558145	+	0.829744i	$0.311513\pi$
$594$	9.63127	−	4.50800i	0.395176	−	0.184965i
$595$	0.615403	−	4.28022i	0.0252291	−	0.175472i
$596$	3.14389	−	2.82907i	0.128779	−	0.115883i
$597$			43.9566i			1.79902i
$598$	−35.8463	−	12.2210i	−1.46587	−	0.499753i
$599$			40.6878i			1.66246i	0.555929	+	0.831230i	$0.312363\pi$
$599$			40.6878i			1.66246i	−0.555929	+	0.831230i	$0.687637\pi$
$600$	−0.942029	−	33.5009i	−0.0384582	−	1.36767i
$601$	3.99149	−	27.7614i	0.162816	−	1.13241i	−0.730477	−	0.682938i	$-0.760702\pi$
$601$	3.99149	−	27.7614i	0.162816	−	1.13241i	0.893293	−	0.449475i	$-0.148389\pi$
$602$	19.7088	+	42.1074i	0.803269	+	1.71617i
$603$	−37.0077	+	10.8664i	−1.50707	+	0.442516i
$604$	−12.0156	−	17.9480i	−0.488909	−	0.730294i
$605$	4.83851	−	4.19260i	0.196714	−	0.170453i
$606$	−30.9790	+	49.2122i	−1.25844	+	1.99911i
$607$	2.87059	−	9.77635i	0.116514	−	0.396810i	−0.880499	−	0.474048i	$-0.842792\pi$
$607$	2.87059	−	9.77635i	0.116514	−	0.396810i	0.997013	+	0.0772387i	$0.0246103\pi$
$608$	−2.83091	−	5.50127i	−0.114809	−	0.223106i
$609$	21.3829	−	33.2724i	0.866478	−	1.34827i
$610$	9.86688	−	2.99789i	0.399498	−	0.121381i
$611$	6.02370	+	5.21957i	0.243693	+	0.211161i
$612$	−10.6186	−	1.32412i	−0.429230	−	0.0535245i
$613$	−24.3144	+	3.49588i	−0.982049	+	0.141197i	−0.614594	−	0.788844i	$-0.710680\pi$
$613$	−24.3144	+	3.49588i	−0.982049	+	0.141197i	−0.367455	+	0.930041i	$0.619771\pi$
$614$	0.102075	+	10.8927i	0.00411943	+	0.439595i
$615$	−3.66802	−	8.03185i	−0.147909	−	0.323876i
$616$	21.8157	+	5.74478i	0.878978	+	0.231464i
$617$	23.5031	+	10.7335i	0.946200	+	0.432115i	0.827908	−	0.560864i	$-0.189531\pi$
$617$	23.5031	+	10.7335i	0.946200	+	0.432115i	0.118292	+	0.992979i	$0.462258\pi$
$618$	28.3901	−	25.0698i	1.14202	−	1.00845i
$619$	−7.36719	+	4.73461i	−0.296112	+	0.190300i	−0.680258	−	0.732973i	$-0.738132\pi$
$619$	−7.36719	+	4.73461i	−0.296112	+	0.190300i	0.384146	+	0.923272i	$0.374496\pi$
$620$	0.365881	+	2.24521i	0.0146941	+	0.0901696i
$621$	19.9616	−	1.81066i	0.801033	−	0.0726591i
$622$	−23.3214	−	19.8286i	−0.935104	−	0.795054i
$623$	5.74519	+	8.93970i	0.230176	+	0.358161i
$624$	−60.2729	+	10.9854i	−2.41285	+	0.439769i
$625$	6.33932	−	13.8812i	0.253573	−	0.555247i
$626$	25.6144	+	11.4089i	1.02376	+	0.455989i
$627$	4.90969	−	2.24218i	0.196074	−	0.0895440i
$628$	0.00722062	+	0.00602353i	0.000288134	+	0.000240365i
$629$	0.0263961	+	0.183589i	0.00105248	+	0.00732018i
$630$	12.8292	+	19.5572i	0.511128	+	0.779179i
$631$	28.0473	−	32.3683i	1.11654	−	1.28856i	0.163228	−	0.986588i	$-0.447810\pi$
$631$	28.0473	−	32.3683i	1.11654	−	1.28856i	0.953317	−	0.301972i	$-0.0976450\pi$
$632$	6.17739	+	12.5784i	0.245724	+	0.500342i
$633$	12.4906	+	8.02722i	0.496457	+	0.319054i
$634$	−1.34925	−	8.79819i	−0.0535857	−	0.349421i
$635$	−0.304044	−	0.0892753i	−0.0120656	−	0.00354278i
$636$	−58.1339	+	18.2598i	−2.30516	+	0.724048i
$637$	−46.2668	−	53.3948i	−1.83316	−	2.11558i
$638$	7.96226	+	2.25711i	0.315229	+	0.0893597i
$639$	0.0928982	+	0.316382i	0.00367500	+	0.0125159i
$640$	7.43696	+	5.63490i	0.293972	+	0.222739i
$641$	−20.4643	−	2.94232i	−0.808290	−	0.116214i	−0.274233	−	0.961663i	$-0.588424\pi$
$641$	−20.4643	−	2.94232i	−0.808290	−	0.116214i	−0.534057	+	0.845449i	$0.679333\pi$
$642$	62.8671	+	8.43843i	2.48117	+	0.333038i
$643$	35.9355			1.41716			0.708579	−	0.705631i	$-0.249336\pi$
$643$	35.9355			1.41716			0.708579	+	0.705631i	$0.249336\pi$
$644$	34.9785	+	24.1773i	1.37835	+	0.952717i
$645$	−16.7753			−0.660528
$646$	−1.81314	−	0.243372i	−0.0713371	−	0.00957533i
$647$	13.5467	+	1.94771i	0.532574	+	0.0765726i	0.403355	−	0.915044i	$-0.367844\pi$
$647$	13.5467	+	1.94771i	0.532574	+	0.0765726i	0.129219	+	0.991616i	$0.458753\pi$
$648$	−4.92162	+	3.36208i	−0.193339	+	0.132075i
$649$	−1.69086	−	5.75855i	−0.0663722	−	0.226043i
$650$	−32.8202	−	9.30373i	−1.28732	−	0.364922i
$651$	10.9821	+	12.6740i	0.430423	+	0.496734i
$652$	0.587908	+	1.87173i	0.0230243	+	0.0733026i
$653$	−37.1371	−	10.9044i	−1.45329	−	0.426724i	−0.542660	−	0.839953i	$-0.682583\pi$
$653$	−37.1371	−	10.9044i	−1.45329	−	0.426724i	−0.910627	+	0.413229i	$0.864401\pi$
$654$	6.84993	+	44.6669i	0.267853	+	1.74661i
$655$	−8.54771	−	5.49328i	−0.333987	−	0.214640i
$656$	−15.1350	−	3.83424i	−0.590921	−	0.149702i
$657$	22.3555	−	25.7996i	0.872172	−	1.00654i
$658$	−4.90844	−	7.48258i	−0.191351	−	0.291701i
$659$	−1.60741	−	11.1798i	−0.0626157	−	0.435502i	−0.996881	−	0.0789225i	$-0.974852\pi$
$659$	−1.60741	−	11.1798i	−0.0626157	−	0.435502i	0.934265	−	0.356579i	$-0.116057\pi$
$660$	−5.21434	+	6.25061i	−0.202968	+	0.243305i
$661$	17.0343	−	7.77932i	0.662559	−	0.302581i	−0.0556066	−	0.998453i	$-0.517709\pi$
$661$	17.0343	−	7.77932i	0.662559	−	0.302581i	0.718166	+	0.695872i	$0.244982\pi$
$662$	−19.9859	−	8.90188i	−0.776775	−	0.345981i
$663$	−7.52549	+	16.4785i	−0.292266	+	0.639973i
$664$	12.1123	−	14.7992i	0.470050	−	0.574322i
$665$	2.16184	+	3.36389i	0.0838326	+	0.130446i
$666$	−0.764320	−	0.649847i	−0.0296168	−	0.0251811i
$667$	12.6635	+	9.10844i	0.490334	+	0.352680i
$668$	4.40447	−	0.717758i	0.170414	−	0.0277709i
$669$	−1.49942	+	0.963621i	−0.0579711	+	0.0372558i
$670$	7.45412	−	6.58233i	0.287978	−	0.254298i
$671$	14.4701	+	6.60827i	0.558612	+	0.255110i
$672$	68.4696	+	6.58963i	2.64127	+	0.254200i
$673$	11.4171	+	24.9999i	0.440096	+	0.963677i	0.991581	+	0.129491i	$0.0413345\pi$
$673$	11.4171	+	24.9999i	0.440096	+	0.963677i	−0.551484	+	0.834185i	$0.685938\pi$
$674$	−0.197826	−	21.1105i	−0.00761999	−	0.813147i
$675$	17.8705	−	2.56939i	0.687835	−	0.0988957i
$676$	−4.49937	+	36.0819i	−0.173053	+	1.38777i
$677$	33.7683	+	29.2604i	1.29782	+	1.12457i	0.984588	+	0.174893i	$0.0559578\pi$
$677$	33.7683	+	29.2604i	1.29782	+	1.12457i	0.313234	+	0.949676i	$0.398588\pi$
$678$	−58.8798	+	17.8897i	−2.26127	+	0.687048i
$679$	−35.0027	+	54.4653i	−1.34328	+	2.09019i
$680$	2.62430	−	0.851389i	0.100638	−	0.0326493i
$681$	3.10359	−	10.5699i	0.118930	−	0.405038i
$682$	−1.86943	+	2.96972i	−0.0715843	+	0.113716i
$683$	−6.03248	+	5.22718i	−0.230827	+	0.200012i	−0.762593	−	0.646879i	$-0.776074\pi$
$683$	−6.03248	+	5.22718i	−0.230827	+	0.200012i	0.531766	+	0.846891i	$0.321528\pi$
$684$	8.22262	−	5.50479i	0.314400	−	0.210481i
$685$	−1.67571	+	0.492032i	−0.0640254	+	0.0187996i
$686$	15.0229	+	32.0961i	0.573576	+	1.22544i
$687$	−2.81424	+	19.5734i	−0.107370	+	0.746773i
$688$	−18.5712	+	23.1297i	−0.708020	+	0.881813i
$689$			62.0238i			2.36292i
$690$	−13.2515	+	7.73276i	−0.504474	+	0.294381i
$691$			31.6585i			1.20435i	0.798365	+	0.602174i	$0.205699\pi$
$691$			31.6585i			1.20435i	−0.798365	+	0.602174i	$0.794301\pi$
$692$	9.76375	+	10.8503i	0.371162	+	0.412465i
$693$	−5.13482	+	35.7134i	−0.195056	+	1.35664i
$694$	46.0012	−	21.5313i	1.74618	−	0.817316i
$695$	10.3681	−	3.04435i	0.393285	−	0.115479i
$696$	25.0686	+	2.88773i	0.950224	+	0.109459i
$697$	−3.48900	+	3.02324i	−0.132155	+	0.114513i
$698$	2.30116	+	1.44858i	0.0871002	+	0.0548295i
$699$	12.1505	−	41.3809i	0.459576	−	1.56517i
$700$	32.6030	+	20.0995i	1.23228	+	0.759689i
$701$	6.86046	−	10.6751i	0.259116	−	0.403193i	−0.687183	−	0.726484i	$-0.741153\pi$
$701$	6.86046	−	10.6751i	0.259116	−	0.403193i	0.946299	+	0.323292i	$0.104789\pi$
$702$	−9.59470	−	31.5788i	−0.362129	−	1.19187i
$703$	−0.129621	−	0.112317i	−0.00488873	−	0.00423611i
$704$	2.84575	+	14.1093i	0.107253	+	0.531762i
$705$	3.19610	−	0.459530i	0.120372	−	0.0173069i
$706$	25.9082	−	0.242785i	0.975068	−	0.00913734i
$707$	−27.6070	−	60.4508i	−1.03827	−	2.27349i
$708$	−7.91258	−	16.5006i	−0.297373	−	0.620131i
$709$	−36.3183	−	16.5860i	−1.36396	−	0.622901i	−0.407084	−	0.913391i	$-0.633455\pi$
$709$	−36.3183	−	16.5860i	−1.36396	−	0.622901i	−0.956878	+	0.290490i	$0.906182\pi$
$710$	−0.0562730	−	0.0637259i	−0.00211189	−	0.00239159i
$711$	−18.8547	+	12.1172i	−0.707106	+	0.454430i
$712$	−3.50379	+	5.80450i	−0.131310	+	0.217533i
$713$	−5.21842	+	4.06392i	−0.195431	+	0.152195i
$714$	13.1747	−	15.4955i	0.493052	−	0.579904i
$715$	4.47951	+	6.97025i	0.167524	+	0.260672i
$716$	−0.544513	−	29.0506i	−0.0203494	−	1.08567i
$717$	5.83140	−	12.7690i	0.217777	−	0.476866i
$718$	7.30718	−	16.4056i	0.272702	−	0.612252i
$719$	−45.9867	+	21.0014i	−1.71501	+	0.783221i	−0.718904	+	0.695110i	$0.755356\pi$
$719$	−45.9867	+	21.0014i	−1.71501	+	0.783221i	−0.996111	+	0.0881113i	$0.971917\pi$
$720$	−7.59191	+	12.8476i	−0.282934	+	0.478802i
$721$	6.15996	+	42.8435i	0.229409	+	1.59557i
$722$	−21.0529	+	13.8103i	−0.783509	+	0.513968i
$723$	−48.0692	+	55.4748i	−1.78771	+	2.06313i
$724$	11.7541	+	5.10393i	0.436839	+	0.189686i
$725$	11.8203	+	7.59642i	0.438994	+	0.282124i
$726$	29.7654	−	4.56469i	1.10470	−	0.169412i
$727$	−20.7680	−	6.09804i	−0.770243	−	0.226164i	−0.127079	−	0.991893i	$-0.540560\pi$
$727$	−20.7680	−	6.09804i	−0.770243	−	0.226164i	−0.643164	+	0.765729i	$0.722379\pi$
$728$	27.2840	−	64.4812i	1.01121	−	2.38983i
$729$	−28.7642	−	33.1956i	−1.06534	−	1.22947i
$730$	−2.40047	+	8.46798i	−0.0888452	+	0.313414i
$731$	2.47105	+	8.41562i	0.0913951	+	0.311263i
$732$	46.7873	+	12.7906i	1.72931	+	0.472755i
$733$	−36.9361	−	5.31062i	−1.36427	−	0.196152i	−0.579010	−	0.815321i	$-0.696561\pi$
$733$	−36.9361	−	5.31062i	−1.36427	−	0.196152i	−0.785258	+	0.619169i	$0.787470\pi$
$734$	2.29106	−	17.0686i	0.0845647	−	0.630015i
$735$	−28.6219			−1.05574
$736$	−4.00819	+	26.8316i	−0.147744	+	0.989026i
$737$	15.3402			0.565063
$738$	3.32198	−	24.7491i	0.122284	−	0.911027i
$739$	34.1617	+	4.91171i	1.25666	+	0.180680i	0.738294	−	0.674479i	$-0.235632\pi$
$739$	34.1617	+	4.91171i	1.25666	+	0.180680i	0.518365	+	0.855159i	$0.326541\pi$
$740$	0.249506	+	0.0682095i	0.00917202	+	0.00250743i
$741$	−4.71949	−	16.0731i	−0.173375	−	0.590461i
$742$	18.9920	−	66.9971i	0.697220	−	2.45954i
$743$	−17.7341	−	20.4663i	−0.650601	−	0.750834i	0.330611	−	0.943767i	$-0.392745\pi$
$743$	−17.7341	−	20.4663i	−0.650601	−	0.750834i	−0.981212	+	0.192933i	$0.938200\pi$
$744$	−4.16949	+	9.85389i	−0.152861	+	0.361261i
$745$	−1.67338	−	0.491348i	−0.0613079	−	0.0180016i
$746$	−7.24490	+	1.11105i	−0.265255	+	0.0406784i
$747$	25.7308	+	16.5362i	0.941439	+	0.605026i
$748$	3.90380	+	1.69513i	0.142737	+	0.0619800i
$749$	−47.4710	+	54.7845i	−1.73455	+	2.00178i
$750$	−24.9304	+	16.3539i	−0.910329	+	0.597160i
$751$	−1.22770	−	8.53881i	−0.0447993	−	0.311586i	−0.999884	−	0.0152519i	$-0.995145\pi$
$751$	−1.22770	−	8.53881i	−0.0447993	−	0.311586i	0.955084	−	0.296334i	$-0.0957641\pi$
$752$	2.90466	−	4.91549i	0.105922	−	0.179249i
$753$	−43.6837	+	19.9497i	−1.59192	+	0.727006i
$754$	10.4508	−	23.4635i	0.380596	−	0.854489i
$755$	−3.69987	+	8.10159i	−0.134652	+	0.294847i
$756$	0.694429	+	37.0489i	0.0252561	+	1.34745i
$757$	−17.8710	−	27.8078i	−0.649532	−	1.01069i	−0.997323	−	0.0731196i	$-0.976705\pi$
$757$	−17.8710	−	27.8078i	−0.649532	−	1.01069i	0.347791	−	0.937572i	$-0.386932\pi$
$758$	21.1043	−	24.8219i	0.766542	−	0.901571i
$759$	−23.2183	−	4.58922i	−0.842770	−	0.166578i
$760$	−1.31843	+	2.18416i	−0.0478245	+	0.0792278i
$761$	39.0050	−	25.0670i	1.41393	−	0.908677i	0.413931	−	0.910308i	$-0.364156\pi$
$761$	39.0050	−	25.0670i	1.41393	−	0.908677i	0.999999	+	0.00163109i	$0.000519193\pi$
$762$	−0.986554	−	1.11722i	−0.0357391	−	0.0404725i
$763$	−46.9762	−	21.4533i	−1.70065	−	0.776662i
$764$	−15.1541	−	31.6019i	−0.548258	−	1.14332i
$765$	1.83305	+	4.01382i	0.0662741	+	0.145120i
$766$	−25.9697	+	0.243362i	−0.938325	+	0.00879302i
$767$	−18.4373	+	2.65089i	−0.665734	+	0.0957181i
$768$	15.4834	+	41.0649i	0.558711	+	1.48180i
$769$	8.76607	+	7.59584i	0.316112	+	0.273913i	0.798435	−	0.602080i	$-0.205661\pi$
$769$	8.76607	+	7.59584i	0.316112	+	0.273913i	−0.482323	+	0.875993i	$0.660207\pi$
$770$	−2.70436	−	8.90080i	−0.0974584	−	0.320762i
$771$	21.4781	−	33.4205i	0.773514	−	1.20361i
$772$	2.83101	+	1.74530i	0.101890	+	0.0628146i
$773$	−4.77085	+	16.2480i	−0.171595	+	0.584401i	0.828120	+	0.560551i	$0.189411\pi$
$773$	−4.77085	+	16.2480i	−0.171595	+	0.584401i	−0.999716	+	0.0238498i	$0.992408\pi$
$774$	−40.1489	−	25.2737i	−1.44312	−	0.908444i
$775$	−4.50254	+	3.90147i	−0.161736	+	0.140145i
$776$	−41.0361	−	4.72707i	−1.47311	−	0.169692i
$777$	1.82963	−	0.537227i	0.0656375	−	0.0192729i
$778$	23.8383	−	11.1577i	0.854645	−	0.400024i
$779$	0.607546	−	4.22557i	0.0217676	−	0.151397i
$780$	16.8990	+	18.7795i	0.605081	+	0.672414i
$781$		−	0.131145i		−	0.00469272i
$782$	5.83124	+	5.50875i	0.208525	+	0.196993i
$783$			13.5939i			0.485807i
$784$	−31.6860	+	39.4638i	−1.13164	+	1.40942i
$785$	0.000551826	−	0.00383803i	1.96955e−5	−	0.000136985i
$786$	−20.2597	−	43.2844i	−0.722638	−	1.54390i
$787$	42.4566	−	12.4664i	1.51341	−	0.444378i	0.583487	−	0.812123i	$-0.301688\pi$
$787$	42.4566	−	12.4664i	1.51341	−	0.444378i	0.929927	+	0.367744i	$0.119870\pi$
$788$	−31.0536	+	20.7894i	−1.10624	+	0.740593i
$789$	37.9429	−	32.8777i	1.35080	−	1.17048i
$790$	3.07844	−	4.89031i	0.109526	−	0.173989i
$791$	19.8133	−	67.4778i	0.704479	−	2.39924i
$792$	−21.8968	+	7.10385i	−0.778068	+	0.252424i
$793$	26.6922	−	41.5339i	0.947869	−	1.47491i
$794$	−17.8220	+	5.41493i	−0.632480	+	0.192169i
$795$	18.9895	+	16.4545i	0.673490	+	0.583582i
$796$	3.96597	−	31.8045i	0.140570	−	1.12728i
$797$	27.0601	−	3.89065i	0.958516	−	0.137814i	0.354738	−	0.934966i	$-0.384570\pi$
$797$	27.0601	−	3.89065i	0.958516	−	0.137814i	0.603779	+	0.797152i	$0.293661\pi$
$798$	0.176241	+	18.8071i	0.00623885	+	0.665762i
$799$	−0.701324	−	1.53569i	−0.0248111	−	0.0543287i
$800$	−2.34101	+	24.3243i	−0.0827673	+	0.859994i
$801$	−9.86381	−	4.50465i	−0.348521	−	0.159164i
$802$	−4.12414	+	3.64181i	−0.145628	+	0.128597i
$803$	−11.4220	+	7.34048i	−0.403074	+	0.259040i
$804$	46.1649	−	7.52308i	1.62811	−	0.265318i
$805$	0.917315	−	17.5099i	0.0323311	−	0.617143i
$806$	8.29738	+	7.05468i	0.292263	+	0.248490i
$807$	−1.90770	−	2.96845i	−0.0671544	−	0.104494i
$808$	26.8548	−	32.8121i	0.944749	−	1.15432i
$809$	−10.1960	+	22.3260i	−0.358471	+	0.784942i	0.641372	+	0.767230i	$0.278365\pi$
$809$	−10.1960	+	22.3260i	−0.358471	+	0.784942i	−0.999843	+	0.0177120i	$0.994362\pi$
$810$	2.24517	+	1.00002i	0.0788873	+	0.0351370i
$811$	−8.57471	+	3.91594i	−0.301099	+	0.137507i	−0.560235	−	0.828333i	$-0.689289\pi$
$811$	−8.57471	+	3.91594i	−0.301099	+	0.137507i	0.259137	+	0.965841i	$0.416562\pi$
$812$	−18.4734	+	22.1447i	−0.648290	+	0.777128i
$813$	−9.44121	−	65.6651i	−0.331118	−	2.30297i
$814$	0.218857	+	0.333633i	0.00767094	+	0.0116938i
$815$	0.529784	−	0.611404i	0.0185575	−	0.0214165i
$816$	12.5795	+	3.18684i	0.440369	+	0.111562i
$817$	−6.82303	−	4.38489i	−0.238708	−	0.153408i
$818$	−4.25072	−	27.7180i	−0.148623	−	0.969136i
$819$	107.445	+	31.5487i	3.75444	+	1.10240i
$820$	1.92930	+	6.14233i	0.0673741	+	0.214500i
$821$	−4.68202	−	5.40333i	−0.163403	−	0.188578i	0.668143	−	0.744033i	$-0.267089\pi$
$821$	−4.68202	−	5.40333i	−0.163403	−	0.188578i	−0.831546	+	0.555455i	$0.812544\pi$
$822$	−7.90309	−	2.24033i	−0.275652	−	0.0781405i
$823$	−6.85047	−	23.3305i	−0.238792	−	0.813252i	−0.988466	−	0.151444i	$-0.951608\pi$
$823$	−6.85047	−	23.3305i	−0.238792	−	0.813252i	0.749674	−	0.661808i	$-0.230210\pi$
$824$	−22.8034	+	15.5776i	−0.794393	+	0.542670i
$825$	−21.1015	−	3.03393i	−0.734659	−	0.105628i
$826$	20.7274	+	2.78217i	0.721200	+	0.0968041i
$827$	21.1246			0.734575			0.367287	−	0.930108i	$-0.380287\pi$
$827$	21.1246			0.734575			0.367287	+	0.930108i	$0.380287\pi$
$828$	−43.3652	−	1.45758i	−1.50705	−	0.0506544i
$829$	−41.8357			−1.45301			−0.726507	−	0.687159i	$-0.758857\pi$
$829$	−41.8357			−1.45301			−0.726507	+	0.687159i	$0.758857\pi$
$830$	−7.81585	−	1.04909i	−0.271292	−	0.0364146i
$831$	45.8703	+	6.59516i	1.59122	+	0.228784i
$832$	44.6012	−	2.51031i	1.54627	−	0.0870294i
$833$	4.21608	+	14.3587i	0.146079	+	0.497498i
$834$	48.8989	+	13.8616i	1.69323	+	0.479989i
$835$	−1.20506	−	1.39072i	−0.0417029	−	0.0481278i
$836$	−3.75467	+	1.17934i	−0.129858	+	0.0407882i
$837$	−5.53051	−	1.62390i	−0.191162	−	0.0561304i
$838$	−0.725399	−	4.73017i	−0.0250585	−	0.163401i
$839$	28.9123	+	18.5808i	0.998163	+	0.641481i	0.934304	−	0.356478i	$-0.116023\pi$
$839$	28.9123	+	18.5808i	0.998163	+	0.641481i	0.0638596	+	0.997959i	$0.479659\pi$
$840$	−12.5036	−	25.4599i	−0.431416	−	0.878449i
$841$	12.0629	−	13.9213i	0.415961	−	0.480044i
$842$	10.3829	+	15.8280i	0.357819	+	0.545470i
$843$	10.9013	+	75.8204i	0.375462	+	2.61139i
$844$	−8.31323	−	6.93500i	−0.286153	−	0.238713i
$845$	13.6390	−	6.22871i	0.469195	−	0.214274i
$846$	8.34164	+	3.71543i	0.286792	+	0.127739i
$847$	−14.2962	+	31.3043i	−0.491223	+	1.07563i
$848$	43.7098	−	7.96662i	1.50100	−	0.273575i
$849$	3.09316	+	4.81305i	0.106157	+	0.165183i
$850$	5.50488	+	4.68041i	0.188816	+	0.160537i
$851$	0.173841	+	0.731706i	0.00595920	+	0.0250825i
$852$	−0.0643155	−	0.394668i	−0.00220341	−	0.0135211i
$853$	17.1381	−	11.0140i	0.586798	−	0.377112i	−0.213295	−	0.976988i	$-0.568420\pi$
$853$	17.1381	−	11.0140i	0.586798	−	0.377112i	0.800093	+	0.599876i	$0.204783\pi$
$854$	−41.5504	+	36.6909i	−1.42183	+	1.25554i
$855$	−3.71163	−	1.69504i	−0.126935	−	0.0579692i
$856$	−44.7256	−	11.7777i	−1.52869	−	0.402554i
$857$	11.6493	+	25.5084i	0.397932	+	0.871350i	0.997476	+	0.0710078i	$0.0226215\pi$
$857$	11.6493	+	25.5084i	0.397932	+	0.871350i	−0.599544	+	0.800342i	$0.704651\pi$
$858$	0.365184	+	38.9697i	0.0124672	+	1.33040i
$859$	−17.4199	+	2.50460i	−0.594359	+	0.0854560i	−0.432929	−	0.901428i	$-0.642520\pi$
$859$	−17.4199	+	2.50460i	−0.594359	+	0.0854560i	−0.161430	+	0.986884i	$0.551611\pi$
$860$	12.1377	+	1.51355i	0.413891	+	0.0516117i
$861$	35.8700	+	31.0816i	1.22245	+	1.05926i
$862$	3.32004	−	1.00874i	0.113081	−	0.0343578i
$863$	21.7159	−	33.7907i	0.739219	−	1.15025i	−0.244345	−	0.969688i	$-0.578573\pi$
$863$	21.7159	−	33.7907i	0.739219	−	1.15025i	0.983564	−	0.180559i	$-0.0577906\pi$
$864$	−21.0220	+	10.8178i	−0.715185	+	0.368028i
$865$	1.69575	−	5.77520i	0.0576573	−	0.196363i
$866$	−17.2760	+	27.4441i	−0.587063	+	0.932587i
$867$	−32.3406	+	28.0233i	−1.09835	+	0.951722i
$868$	−6.80251	−	10.1611i	−0.230892	−	0.344889i
$869$	8.55292	−	2.51136i	0.290138	−	0.0851922i
$870$	−4.41116	−	9.42438i	−0.149552	−	0.319516i
$871$	6.77565	−	47.1257i	0.229584	−	1.59679i
$872$	−0.926156	−	32.9364i	−0.0313636	−	1.11537i
$873$		−	66.0657i		−	2.23599i
$874$	−7.41102	−	0.318646i	−0.250681	−	0.0107784i
$875$		−	34.0740i		−	1.15191i
$876$	−30.7736	+	27.6921i	−1.03974	+	0.935628i
$877$	−3.64245	+	25.3338i	−0.122997	+	0.855462i	0.831134	+	0.556072i	$0.187692\pi$
$877$	−3.64245	+	25.3338i	−0.122997	+	0.855462i	−0.954131	+	0.299390i	$0.903217\pi$
$878$	4.89094	−	2.28925i	0.165061	−	0.0772584i
$879$	−84.5074	+	24.8136i	−2.85037	+	0.836943i
$880$	4.33675	−	4.05212i	0.146192	−	0.136597i
$881$	−15.5057	+	13.4358i	−0.522402	+	0.452664i	−0.875706	−	0.482845i	$-0.839604\pi$
$881$	−15.5057	+	13.4358i	−0.522402	+	0.452664i	0.353304	+	0.935508i	$0.385058\pi$
$882$	−68.5017	−	43.1217i	−2.30657	−	1.45198i
$883$	4.95762	−	16.8841i	0.166837	−	0.568195i	−0.833050	−	0.553197i	$-0.813408\pi$
$883$	4.95762	−	16.8841i	0.166837	−	0.568195i	0.999888	−	0.0149979i	$-0.00477416\pi$
$884$	6.93178	−	11.2439i	0.233141	−	0.378174i
$885$	−4.07970	+	6.34814i	−0.137138	+	0.213390i
$886$	1.33804	+	4.40387i	0.0449524	+	0.147951i
$887$	−40.3315	−	34.9474i	−1.35420	−	1.17342i	−0.967985	−	0.251009i	$-0.919238\pi$
$887$	−40.3315	−	34.9474i	−1.35420	−	1.17342i	−0.386213	−	0.922410i	$-0.626217\pi$
$888$	0.822249	+	0.896706i	0.0275929	+	0.0300915i
$889$	1.68599	−	0.242409i	0.0565463	−	0.00813013i
$890$	2.79568	−	0.0261983i	0.0937115	−	0.000878169i
$891$	1.57501	+	3.44878i	0.0527647	+	0.115539i
$892$	1.17184	−	0.561936i	0.0392361	−	0.0188150i
$893$	1.42007	+	0.648522i	0.0475207	+	0.0217020i
$894$	−5.42974	−	6.14887i	−0.181598	−	0.205649i
$895$	−10.0794	+	6.47763i	−0.336917	+	0.216523i
$896$	−48.9461	−	10.9455i	−1.63517	−	0.365664i
$897$	−24.3536	+	69.3005i	−0.813144	+	2.31388i
$898$	29.2311	−	34.3802i	0.975454	−	1.14728i
$899$	−2.42523	−	3.77374i	−0.0808860	−	0.125861i
$900$	−39.0764	+	0.732432i	−1.30255	+	0.0244144i
$901$	5.45748	−	11.9502i	0.181815	−	0.398119i
$902$	−4.04088	+	9.07231i	−0.134546	+	0.302075i
$903$	82.0240	−	37.4591i	2.72959	−	1.24656i
$904$	44.2161	−	7.63151i	1.47061	−	0.253820i
$905$	−0.752013	−	5.23037i	−0.0249978	−	0.173863i
$906$	−35.0279	+	22.9777i	−1.16372	+	0.763382i
$907$	−5.48617	+	6.33138i	−0.182165	+	0.210230i	−0.839487	−	0.543381i	$-0.817144\pi$
$907$	−5.48617	+	6.33138i	−0.182165	+	0.210230i	0.657321	+	0.753611i	$0.271690\pi$
$908$	−3.19925	+	7.36773i	−0.106171	+	0.244507i
$909$	57.0488	+	36.6631i	1.89219	+	1.21604i
$910$	−28.5381	+	4.37649i	−0.946029	+	0.145079i
$911$	14.1460	+	4.15364i	0.468677	+	0.137616i	0.507539	−	0.861628i	$-0.330555\pi$
$911$	14.1460	+	4.15364i	0.468677	+	0.137616i	−0.0388621	+	0.999245i	$0.512373\pi$
$912$	−10.7210	+	5.39046i	−0.355007	+	0.178496i
$913$	−7.96627	−	9.19356i	−0.263645	−	0.304262i
$914$	13.8542	−	48.8728i	0.458258	−	1.61657i
$915$	−5.63496	−	19.1909i	−0.186286	−	0.634433i
$916$	3.80223	−	13.9083i	0.125629	−	0.459543i
$917$	54.0609	+	7.77279i	1.78525	+	0.256680i
$918$	−0.929997	+	6.92857i	−0.0306945	+	0.228677i
$919$	6.04251			0.199324			0.0996620	−	0.995021i	$-0.468224\pi$
$919$	6.04251			0.199324			0.0996620	+	0.995021i	$0.468224\pi$
$920$	10.2857	−	4.39937i	0.339109	−	0.145043i
$921$	21.1279			0.696187
$922$	0.162248	−	1.20877i	0.00534336	−	0.0398086i
$923$	−0.402882	−	0.0579256i	−0.0132610	−	0.00190665i
$924$	11.5383	−	42.2062i	0.379581	−	1.38848i
$925$	0.190854	+	0.649988i	0.00627523	+	0.0213715i
$926$	−10.7867	+	38.0517i	−0.354474	+	1.25046i
$927$	−28.9241	−	33.3802i	−0.949993	−	1.09635i
$928$	−17.8777	−	4.35121i	−0.586863	−	0.142835i
$929$	50.5492	+	14.8426i	1.65846	+	0.486969i	0.970966	−	0.239216i	$-0.0768905\pi$
$929$	50.5492	+	14.8426i	1.65846	+	0.486969i	0.687499	+	0.726186i	$0.258709\pi$
$930$	4.36114	−	0.668807i	0.143007	−	0.0219310i
$931$	−11.6414	−	7.48147i	−0.381531	−	0.245195i
$932$	−12.5250	+	28.8446i	−0.410270	+	0.944836i
$933$	−38.8806	+	44.8707i	−1.27290	+	1.46900i
$934$	−24.9015	+	16.3349i	−0.814801	+	0.534495i
$935$	−0.249760	−	1.73712i	−0.00816802	−	0.0568098i
$936$	12.1517	+	70.4055i	0.397190	+	2.30127i
$937$	18.1589	−	8.29287i	0.593224	−	0.270916i	−0.0960975	−	0.995372i	$-0.530636\pi$
$937$	18.1589	−	8.29287i	0.593224	−	0.270916i	0.689321	+	0.724456i	$0.257909\pi$
$938$	−21.7491	+	48.8296i	−0.710133	+	1.59434i
$939$	22.5926	−	49.4708i	0.737281	−	1.61442i
$940$	−2.35398	+	0.0441220i	−0.0767782	+	0.00143910i
$941$	−13.5197	−	21.0371i	−0.440731	−	0.685790i	0.547834	−	0.836587i	$-0.315452\pi$
$941$	−13.5197	−	21.0371i	−0.440731	−	0.685790i	−0.988565	+	0.150797i	$0.951816\pi$
$942$	0.0118136	−	0.0138946i	0.000384909	−	0.000452712i
$943$	−12.9820	+	13.4865i	−0.422751	+	0.439181i
$944$	4.23633	+	12.6528i	0.137881	+	0.411813i
$945$	12.8545	−	8.26106i	0.418155	−	0.268732i
$946$	12.4893	+	14.1435i	0.406063	+	0.459844i
$947$	5.12008	+	2.33826i	0.166380	+	0.0759833i	0.496864	−	0.867828i	$-0.334485\pi$
$947$	5.12008	+	2.33826i	0.166380	+	0.0759833i	−0.330484	+	0.943812i	$0.607212\pi$
$948$	24.5076	−	11.7522i	0.795971	−	0.381694i
$949$	17.5052	+	38.3311i	0.568244	+	1.24428i
$950$	−6.68134	+	0.0626107i	−0.216771	+	0.00203136i
$951$	−17.0883	+	2.45692i	−0.554126	+	0.0796712i
$952$	−10.9305	+	10.0230i	−0.354261	+	0.324846i
$953$	−30.5473	−	26.4694i	−0.989525	−	0.857428i	0.000259435	−	1.00000i	$-0.499917\pi$
$953$	−30.5473	−	26.4694i	−0.989525	−	0.857428i	−0.989784	+	0.142572i	$0.954463\pi$
$954$	20.6578	+	67.9907i	0.668822	+	2.20128i
$955$	−7.81342	+	12.1579i	−0.252836	+	0.393421i
$956$	−5.37134	+	8.71276i	−0.173722	+	0.281791i
$957$	4.52229	−	15.4015i	0.146185	−	0.497859i
$958$	31.6163	+	19.9025i	1.02148	+	0.643019i
$959$	7.09476	−	6.14764i	0.229102	−	0.198518i
$960$	11.0638	−	14.3213i	0.357084	−	0.462218i
$961$	−27.9193	+	8.19784i	−0.900622	+	0.264446i
$962$	1.12160	−	0.524975i	0.0361618	−	0.0169259i
$963$	10.5272	−	73.2183i	0.339235	−	2.35943i
$964$	39.7853	−	35.8014i	1.28140	−	1.15308i
$965$		−	1.37141i		−	0.0441472i
$966$	47.5266	−	67.4001i	1.52914	−	2.16856i
$967$			12.8682i			0.413812i	0.978361	+	0.206906i	$0.0663395\pi$
$967$			12.8682i			0.413812i	−0.978361	+	0.206906i	$0.933661\pi$
$968$	−21.9483	+	0.617177i	−0.705447	+	0.0198368i
$969$	−0.504963	+	3.51210i	−0.0162218	+	0.112825i
$970$	7.22085	+	15.4272i	0.231848	+	0.495339i
$971$	−36.0764	+	10.5930i	−1.15775	+	0.339945i	−0.803556	−	0.595229i	$-0.797061\pi$
$971$	−36.0764	+	10.5930i	−1.15775	+	0.339945i	−0.354189	+	0.935174i	$0.615243\pi$
$972$	20.3814	+	30.4441i	0.653733	+	0.976496i
$973$	−43.8975	+	38.0374i	−1.40729	+	1.21942i
$974$	24.4929	−	38.9086i	0.784804	−	1.24671i
$975$	−18.6407	+	63.4845i	−0.596981	+	2.03313i
$976$	−32.6985	−	13.4759i	−1.04665	−	0.431354i
$977$	−20.1276	+	31.3192i	−0.643940	+	1.00199i	0.353835	+	0.935308i	$0.384878\pi$
$977$	−20.1276	+	31.3192i	−0.643940	+	1.00199i	−0.997774	+	0.0666817i	$0.978759\pi$
$978$	3.64084	−	1.10621i	0.116421	−	0.0353726i
$979$	3.25940	+	2.82428i	0.104171	+	0.0902645i
$980$	20.7092	+	2.58241i	0.661531	+	0.0824920i
$981$	52.1618	−	7.49973i	1.66540	−	0.239448i
$982$	0.516238	+	55.0890i	0.0164738	+	1.75796i
$983$	21.4473	+	46.9631i	0.684063	+	1.49789i	0.858280	+	0.513181i	$0.171533\pi$
$983$	21.4473	+	46.9631i	0.684063	+	1.49789i	−0.174217	+	0.984707i	$0.555740\pi$
$984$	−7.71144	+	29.2840i	−0.245832	+	0.933540i
$985$	14.0174	+	6.40151i	0.446630	+	0.203969i
$986$	−4.07812	+	3.60117i	−0.129874	+	0.114685i
$987$	−14.6014	+	9.38375i	−0.464768	+	0.298688i
$988$	1.96456	+	12.0554i	0.0625010	+	0.383533i
$989$	13.0612	+	33.0790i	0.415323	+	1.05185i
$990$	7.23198	+	6.14885i	0.229847	+	0.195423i
$991$	18.1087	+	28.1777i	0.575242	+	0.895094i	0.999948	−	0.0102373i	$-0.00325869\pi$
$991$	18.1087	+	28.1777i	0.575242	+	0.895094i	−0.424705	+	0.905332i	$0.639622\pi$
$992$	3.90587	−	6.75352i	0.124011	−	0.214424i
$993$	−17.6281	+	38.6002i	−0.559411	+	1.22494i
$994$	0.417449	+	0.185935i	0.0132407	+	0.00589750i
$995$	−12.0221	+	5.49031i	−0.381126	+	0.174054i
$996$	−28.4824	−	23.7604i	−0.902500	−	0.752877i
$997$	−5.03251	−	35.0019i	−0.159381	−	1.10852i	−0.899777	−	0.436350i	$-0.856271\pi$
$997$	−5.03251	−	35.0019i	−0.159381	−	1.10852i	0.740396	−	0.672171i	$-0.234638\pi$
$998$	12.7944	+	19.5042i	0.405001	+	0.617396i
$999$	−0.429197	+	0.495320i	−0.0135792	+	0.0156712i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	92.2.h.a.11.6	yes	100
3.2	odd	2		828.2.u.a.379.5		100
4.3	odd	2	inner	92.2.h.a.11.2	✓	100
12.11	even	2		828.2.u.a.379.9		100
23.21	odd	22	inner	92.2.h.a.67.2	yes	100
69.44	even	22		828.2.u.a.343.9		100
92.67	even	22	inner	92.2.h.a.67.6	yes	100
276.251	odd	22		828.2.u.a.343.5		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
92.2.h.a.11.2	✓	100	4.3	odd	2	inner
92.2.h.a.11.6	yes	100	1.1	even	1	trivial
92.2.h.a.67.2	yes	100	23.21	odd	22	inner
92.2.h.a.67.6	yes	100	92.67	even	22	inner
828.2.u.a.343.5		100	276.251	odd	22
828.2.u.a.343.9		100	69.44	even	22
828.2.u.a.379.5		100	3.2	odd	2
828.2.u.a.379.9		100	12.11	even	2

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:	\( N \)	\(=\)	\( 92 = 2^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	92.h (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.188138 + 1.40164i) q^{2} +(2.71502 + 0.390360i) q^{3} +(-1.92921 - 0.527404i) q^{4} +(0.232350 + 0.791311i) q^{5} +(-1.05794 + 3.73204i) q^{6} +(-2.90308 - 3.35033i) q^{7} +(1.10219 - 2.60484i) q^{8} +(4.34045 + 1.27447i) q^{9} +(-1.15285 + 0.176796i) q^{10} +(-1.51356 - 0.972706i) q^{11} +(-5.03195 - 2.18500i) q^{12} +(-3.65672 + 4.22008i) q^{13} +(5.24214 - 3.43875i) q^{14} +(0.321937 + 2.23912i) q^{15} +(3.44369 + 2.03494i) q^{16} +(1.07587 - 0.491333i) q^{17} +(-2.60295 + 5.84398i) q^{18} +(-0.454341 + 0.994869i) q^{19} +(-0.0309110 - 1.64915i) q^{20} +(-6.57406 - 10.2294i) q^{21} +(1.64814 - 1.93847i) q^{22} +(4.16463 - 2.37820i) q^{23} +(4.00928 - 6.64192i) q^{24} +(3.63408 - 2.33548i) q^{25} +(-5.22708 - 5.91938i) q^{26} +(3.80170 + 1.73618i) q^{27} +(3.83366 + 7.99457i) q^{28} +(1.35119 + 2.95868i) q^{29} +(-3.19902 + 0.0299780i) q^{30} +(-1.36511 + 0.196274i) q^{31} +(-3.50015 + 4.44398i) q^{32} +(-3.72963 - 3.23175i) q^{33} +(0.486263 + 1.60042i) q^{34} +(1.97662 - 3.07569i) q^{35} +(-7.70147 - 4.74789i) q^{36} +(-0.0441808 + 0.150466i) q^{37} +(-1.30897 - 0.823997i) q^{38} +(-11.5754 + 10.0301i) q^{39} +(2.31733 + 0.266941i) q^{40} +(-3.74516 + 1.09968i) q^{41} +(15.5749 - 7.28995i) q^{42} +(-1.05536 + 7.34019i) q^{43} +(2.40696 + 2.67481i) q^{44} +3.73077i q^{45} +(2.54986 + 6.28476i) q^{46} -1.42739i q^{47} +(8.55531 + 6.86918i) q^{48} +(-1.80065 + 12.5238i) q^{49} +(2.58981 + 5.53308i) q^{50} +(3.11280 - 0.914001i) q^{51} +(9.28026 - 6.21285i) q^{52} +(8.39447 - 7.27385i) q^{53} +(-3.14874 + 5.00198i) q^{54} +(0.418038 - 1.42371i) q^{55} +(-11.9268 + 3.86935i) q^{56} +(-1.62190 + 2.52373i) q^{57} +(-4.40123 + 1.33724i) q^{58} +(2.52102 + 2.18448i) q^{59} +(0.559838 - 4.48953i) q^{60} +(-8.75165 + 1.25830i) q^{61} +(-0.0182765 - 1.95033i) q^{62} +(-8.33075 - 18.2418i) q^{63} +(-5.57036 - 5.74205i) q^{64} +(-4.18904 - 1.91307i) q^{65} +(5.23144 - 4.61960i) q^{66} +(-7.17273 + 4.60963i) q^{67} +(-2.33471 + 0.380467i) q^{68} +(12.2354 - 4.83114i) q^{69} +(3.93914 + 3.34917i) q^{70} +(0.0394082 + 0.0613203i) q^{71} +(8.10378 - 9.90146i) q^{72} +(3.13491 - 6.86450i) q^{73} +(-0.202587 - 0.0902340i) q^{74} +(10.7783 - 4.92227i) q^{75} +(1.40122 - 1.67969i) q^{76} +(1.13510 + 7.89476i) q^{77} +(-11.8809 - 18.1116i) q^{78} +(-3.24451 + 3.74436i) q^{79} +(-0.810133 + 3.19785i) q^{80} +(-1.77278 - 1.13930i) q^{81} +(-0.836752 - 5.45627i) q^{82} +(6.48746 + 1.90489i) q^{83} +(7.28769 + 23.2019i) q^{84} +(0.638776 + 0.737187i) q^{85} +(-10.0898 - 2.86020i) q^{86} +(2.51354 + 8.56032i) q^{87} +(-4.20197 + 2.87047i) q^{88} +(-2.37270 - 0.341143i) q^{89} +(-5.22921 - 0.701898i) q^{90} +24.7544 q^{91} +(-9.28872 + 2.39160i) q^{92} -3.78292 q^{93} +(2.00069 + 0.268546i) q^{94} +(-0.892817 - 0.128368i) q^{95} +(-11.2377 + 10.6991i) q^{96} +(-4.11453 - 14.0128i) q^{97} +(-17.2151 - 4.88005i) q^{98} +(-5.32984 - 6.15097i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25}+ \cdots - 71 q^{98}+O(q^{100}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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