LMFDB - Embedded newform 184.2.p.a.101.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [184,2,Mod(13,184)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(184, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 14]))

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

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

chi := DirichletCharacter("184.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.p (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:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			101.17
Character	$\chi$	$=$	184.101
Dual form			184.2.p.a.133.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.844472 + 1.13440i) q^{2} +(-2.39213 + 2.07279i) q^{3} +(-0.573735 + 1.91594i) q^{4} +(1.26368 - 0.181690i) q^{5} +(-4.37146 - 0.963222i) q^{6} +(-0.503208 + 1.10187i) q^{7} +(-2.65795 + 0.967111i) q^{8} +(0.998872 - 6.94731i) q^{9} +(1.27326 + 1.28009i) q^{10} +(0.353427 - 1.20366i) q^{11} +(-2.59890 - 5.77241i) q^{12} +(-2.81167 + 1.28405i) q^{13} +(-1.67491 + 0.359659i) q^{14} +(-2.64629 + 3.05398i) q^{15} +(-3.34166 - 2.19848i) q^{16} +(5.48879 + 3.52743i) q^{17} +(8.72456 - 4.73368i) q^{18} +(1.39664 + 2.17321i) q^{19} +(-0.376912 + 2.52539i) q^{20} +(-1.08021 - 3.67887i) q^{21} +(1.66389 - 0.615530i) q^{22} +(-0.666131 + 4.74934i) q^{23} +(4.35354 - 7.82283i) q^{24} +(-3.23358 + 0.949464i) q^{25} +(-3.83100 - 2.10522i) q^{26} +(6.87712 + 10.7010i) q^{27} +(-1.82241 - 1.59630i) q^{28} +(-0.390608 + 0.607798i) q^{29} +(-5.69916 - 0.422955i) q^{30} +(4.40532 - 5.08402i) q^{31} +(-0.327969 - 5.64734i) q^{32} +(1.64950 + 3.61189i) q^{33} +(0.633603 + 9.20530i) q^{34} +(-0.435697 + 1.48385i) q^{35} +(12.7375 + 5.89969i) q^{36} +(10.3582 + 1.48929i) q^{37} +(-1.28587 + 3.41956i) q^{38} +(4.06432 - 8.89961i) q^{39} +(-3.18309 + 1.70505i) q^{40} +(0.700945 + 4.87518i) q^{41} +(3.26110 - 4.33209i) q^{42} +(3.42900 - 2.97124i) q^{43} +(2.10337 + 1.36773i) q^{44} -8.96069i q^{45} +(-5.95019 + 3.25503i) q^{46} -4.61048 q^{47} +(12.5507 - 1.66750i) q^{48} +(3.62312 + 4.18131i) q^{49} +(-3.80774 - 2.86638i) q^{50} +(-20.4415 + 2.93905i) q^{51} +(-0.847003 - 6.12370i) q^{52} +(-13.0451 - 5.95748i) q^{53} +(-6.33171 + 16.8381i) q^{54} +(0.227926 - 1.58526i) q^{55} +(0.271869 - 3.41538i) q^{56} +(-7.84555 - 2.30366i) q^{57} +(-1.01934 + 0.0701617i) q^{58} +(9.20621 - 4.20434i) q^{59} +(-4.33298 - 6.82231i) q^{60} +(-1.57021 - 1.36060i) q^{61} +(9.48749 + 0.704101i) q^{62} +(7.15240 + 4.59657i) q^{63} +(6.12939 - 5.14107i) q^{64} +(-3.31977 + 2.13348i) q^{65} +(-2.70439 + 4.92133i) q^{66} +(0.186146 + 0.633956i) q^{67} +(-9.90745 + 8.49238i) q^{68} +(-8.25093 - 12.7418i) q^{69} +(-2.05121 + 0.758811i) q^{70} +(-7.23146 + 2.12335i) q^{71} +(4.06387 + 19.4316i) q^{72} +(9.55234 - 6.13891i) q^{73} +(7.05778 + 13.0081i) q^{74} +(5.76710 - 8.97378i) q^{75} +(-4.96504 + 1.42903i) q^{76} +(1.14843 + 0.995123i) q^{77} +(13.5279 - 2.90490i) q^{78} +(-5.85092 - 12.8117i) q^{79} +(-4.62224 - 2.17104i) q^{80} +(-18.4286 - 5.41112i) q^{81} +(-4.93849 + 4.91211i) q^{82} +(8.85577 + 1.27327i) q^{83} +(7.66824 + 0.0410716i) q^{84} +(7.57699 + 3.46030i) q^{85} +(6.26627 + 1.38073i) q^{86} +(-0.325454 - 2.26358i) q^{87} +(0.224684 + 3.54107i) q^{88} +(1.74473 + 2.01353i) q^{89} +(10.1650 - 7.56705i) q^{90} -3.74424i q^{91} +(-8.71728 - 4.00113i) q^{92} +21.2929i q^{93} +(-3.89342 - 5.23014i) q^{94} +(2.15976 + 2.49250i) q^{95} +(12.4903 + 12.8294i) q^{96} +(-1.43796 - 10.0012i) q^{97} +(-1.68366 + 7.64107i) q^{98} +(-8.00918 - 3.65767i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) $ 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{11}\right)$

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 $

$2$	0.844472	+	1.13440i	0.597132	+	0.802143i
$2$	0.844472	+	1.13440i	0.597132	+	0.802143i
$3$	−2.39213	+	2.07279i	−1.38110	+	1.19673i	−0.424459	+	0.905447i	$0.639536\pi$
$3$	−2.39213	+	2.07279i	−1.38110	+	1.19673i	−0.956638	+	0.291280i	$0.905919\pi$
$4$	−0.573735	+	1.91594i	−0.286868	+	0.957970i
$5$	1.26368	−	0.181690i	0.565137	−	0.0812544i	0.146176	−	0.989259i	$-0.453303\pi$
$5$	1.26368	−	0.181690i	0.565137	−	0.0812544i	0.418961	+	0.908004i	$0.362394\pi$
$6$	−4.37146	−	0.963222i	−1.78464	−	0.393234i
$7$	−0.503208	+	1.10187i	−0.190195	+	0.416468i	−0.980574	−	0.196149i	$-0.937156\pi$
$7$	−0.503208	+	1.10187i	−0.190195	+	0.416468i	0.790379	+	0.612618i	$0.209884\pi$
$8$	−2.65795	+	0.967111i	−0.939727	+	0.341926i
$9$	0.998872	−	6.94731i	0.332957	−	2.31577i
$10$	1.27326	+	1.28009i	0.402639	+	0.404801i
$11$	0.353427	−	1.20366i	0.106562	−	0.362918i	−0.888897	−	0.458107i	$-0.848528\pi$
$11$	0.353427	−	1.20366i	0.106562	−	0.362918i	0.995459	+	0.0951896i	$0.0303458\pi$
$12$	−2.59890	−	5.77241i	−0.750237	−	1.66635i
$13$	−2.81167	+	1.28405i	−0.779817	+	0.356131i	−0.765225	−	0.643763i	$-0.777372\pi$
$13$	−2.81167	+	1.28405i	−0.779817	+	0.356131i	−0.0145922	+	0.999894i	$0.504645\pi$
$14$	−1.67491	+	0.359659i	−0.447639	+	0.0961230i
$15$	−2.64629	+	3.05398i	−0.683269	+	0.788535i
$16$	−3.34166	−	2.19848i	−0.835414	−	0.549621i
$17$	5.48879	+	3.52743i	1.33123	+	0.855527i	0.996235	−	0.0866940i	$-0.0276302\pi$
$17$	5.48879	+	3.52743i	1.33123	+	0.855527i	0.334991	+	0.942221i	$0.391267\pi$
$18$	8.72456	−	4.73368i	2.05640	−	1.11574i
$19$	1.39664	+	2.17321i	0.320411	+	0.498569i	0.963676	−	0.267075i	$-0.0860571\pi$
$19$	1.39664	+	2.17321i	0.320411	+	0.498569i	−0.643265	+	0.765644i	$0.722421\pi$
$20$	−0.376912	+	2.52539i	−0.0842801	+	0.564694i
$21$	−1.08021	−	3.67887i	−0.235722	−	0.802794i
$22$	1.66389	−	0.615530i	0.354744	−	0.131231i
$23$	−0.666131	+	4.74934i	−0.138898	+	0.990307i
$23$	−0.666131	+	4.74934i	−0.138898	+	0.990307i
$24$	4.35354	−	7.82283i	0.888662	−	1.59683i
$25$	−3.23358	+	0.949464i	−0.646716	+	0.189893i
$26$	−3.83100	−	2.10522i	−0.751321	−	0.412868i
$27$	6.87712	+	10.7010i	1.32350	+	2.05941i
$28$	−1.82241	−	1.59630i	−0.344404	−	0.301672i
$29$	−0.390608	+	0.607798i	−0.0725341	+	0.112865i	−0.875626	−	0.482990i	$-0.839551\pi$
$29$	−0.390608	+	0.607798i	−0.0725341	+	0.112865i	0.803092	+	0.595856i	$0.203187\pi$
$30$	−5.69916	−	0.422955i	−1.04052	−	0.0772207i
$31$	4.40532	−	5.08402i	0.791220	−	0.913116i	−0.206646	−	0.978416i	$-0.566255\pi$
$31$	4.40532	−	5.08402i	0.791220	−	0.913116i	0.997866	+	0.0652996i	$0.0208003\pi$
$32$	−0.327969	−	5.64734i	−0.0579773	−	0.998318i
$33$	1.64950	+	3.61189i	0.287141	+	0.628750i
$34$	0.633603	+	9.20530i	0.108662	+	1.57870i
$35$	−0.435697	+	1.48385i	−0.0736462	+	0.250816i
$36$	12.7375	+	5.89969i	2.12292	+	0.983282i
$37$	10.3582	+	1.48929i	1.70288	+	0.244838i	0.924016	−	0.382353i	$-0.124886\pi$
$37$	10.3582	+	1.48929i	1.70288	+	0.244838i	0.778866	+	0.627190i	$0.215795\pi$
$38$	−1.28587	+	3.41956i	−0.208596	+	0.554726i
$39$	4.06432	−	8.89961i	0.650812	−	1.42508i
$40$	−3.18309	+	1.70505i	−0.503291	+	0.269592i
$41$	0.700945	+	4.87518i	0.109469	+	0.761375i	0.968421	+	0.249319i	$0.0802069\pi$
$41$	0.700945	+	4.87518i	0.109469	+	0.761375i	−0.858952	+	0.512056i	$0.828884\pi$
$42$	3.26110	−	4.33209i	0.503199	−	0.668456i
$43$	3.42900	−	2.97124i	0.522917	−	0.453110i	−0.352964	−	0.935637i	$-0.614826\pi$
$43$	3.42900	−	2.97124i	0.522917	−	0.453110i	0.875881	+	0.482527i	$0.160281\pi$
$44$	2.10337	+	1.36773i	0.317095	+	0.206193i
$45$		−	8.96069i		−	1.33578i
$46$	−5.95019	+	3.25503i	−0.877308	+	0.479927i
$47$	−4.61048			−0.672507			−0.336254	−	0.941771i	$-0.609160\pi$
$47$	−4.61048			−0.672507			−0.336254	+	0.941771i	$0.609160\pi$
$48$	12.5507	−	1.66750i	1.81153	−	0.240683i
$49$	3.62312	+	4.18131i	0.517589	+	0.597329i
$50$	−3.80774	−	2.86638i	−0.538496	−	0.405368i
$51$	−20.4415	+	2.93905i	−2.86238	+	0.411549i
$52$	−0.847003	−	6.12370i	−0.117458	−	0.849204i
$53$	−13.0451	−	5.95748i	−1.79188	−	0.818323i	−0.967748	−	0.251922i	$-0.918937\pi$
$53$	−13.0451	−	5.95748i	−1.79188	−	0.818323i	−0.824130	−	0.566401i	$-0.808335\pi$
$54$	−6.33171	+	16.8381i	−0.861636	+	2.29138i
$55$	0.227926	−	1.58526i	0.0307336	−	0.213757i
$56$	0.271869	−	3.41538i	0.0363300	−	0.456399i
$57$	−7.84555	−	2.30366i	−1.03917	−	0.305127i
$58$	−1.01934	+	0.0701617i	−0.133846	+	0.00921268i
$59$	9.20621	−	4.20434i	1.19855	−	0.547358i	0.286752	−	0.958005i	$-0.407424\pi$
$59$	9.20621	−	4.20434i	1.19855	−	0.547358i	0.911794	+	0.410647i	$0.134697\pi$
$60$	−4.33298	−	6.82231i	−0.559385	−	0.880757i
$61$	−1.57021	−	1.36060i	−0.201045	−	0.174206i	0.548520	−	0.836138i	$-0.315192\pi$
$61$	−1.57021	−	1.36060i	−0.201045	−	0.174206i	−0.749565	+	0.661931i	$0.769737\pi$
$62$	9.48749	+	0.704101i	1.20491	+	0.0894209i
$63$	7.15240	+	4.59657i	0.901118	+	0.579113i
$64$	6.12939	−	5.14107i	0.766174	−	0.642633i
$65$	−3.31977	+	2.13348i	−0.411766	+	0.264626i
$66$	−2.70439	+	4.92133i	−0.332887	+	0.605774i
$67$	0.186146	+	0.633956i	0.0227414	+	0.0774500i	0.970082	−	0.242778i	$-0.0780587\pi$
$67$	0.186146	+	0.633956i	0.0227414	+	0.0774500i	−0.947340	+	0.320228i	$0.896240\pi$
$68$	−9.90745	+	8.49238i	−1.20146	+	1.02985i
$69$	−8.25093	−	12.7418i	−0.993295	−	1.53393i
$70$	−2.05121	+	0.758811i	−0.245167	+	0.0906953i
$71$	−7.23146	+	2.12335i	−0.858216	+	0.251995i	−0.681096	−	0.732194i	$-0.738496\pi$
$71$	−7.23146	+	2.12335i	−0.858216	+	0.251995i	−0.177120	+	0.984189i	$0.556678\pi$
$72$	4.06387	+	19.4316i	0.478932	+	2.29004i
$73$	9.55234	−	6.13891i	1.11802	−	0.718506i	0.154991	−	0.987916i	$-0.450465\pi$
$73$	9.55234	−	6.13891i	1.11802	−	0.718506i	0.963026	+	0.269410i	$0.0868288\pi$
$74$	7.05778	+	13.0081i	0.820450	+	1.51216i
$75$	5.76710	−	8.97378i	0.665927	−	1.03620i
$76$	−4.96504	+	1.42903i	−0.569529	+	0.163921i
$77$	1.14843	+	0.995123i	0.130876	+	0.113405i
$78$	13.5279	−	2.90490i	1.53174	−	0.328915i
$79$	−5.85092	−	12.8117i	−0.658280	−	1.44143i	−0.884117	−	0.467267i	$-0.845239\pi$
$79$	−5.85092	−	12.8117i	−0.658280	−	1.44143i	0.225837	−	0.974165i	$-0.427488\pi$
$80$	−4.62224	−	2.17104i	−0.516782	−	0.242730i
$81$	−18.4286	−	5.41112i	−2.04762	−	0.601236i
$82$	−4.93849	+	4.91211i	−0.545365	+	0.542451i
$83$	8.85577	+	1.27327i	0.972048	+	0.139759i	0.610001	−	0.792401i	$-0.291169\pi$
$83$	8.85577	+	1.27327i	0.972048	+	0.139759i	0.362047	+	0.932160i	$0.382078\pi$
$84$	7.66824	+	0.0410716i	0.836674	+	0.00448128i
$85$	7.57699	+	3.46030i	0.821840	+	0.375322i
$86$	6.26627	+	1.38073i	0.675710	+	0.148888i
$87$	−0.325454	−	2.26358i	−0.0348923	−	0.242681i
$88$	0.224684	+	3.54107i	0.0239514	+	0.377480i
$89$	1.74473	+	2.01353i	0.184941	+	0.213433i	0.840648	−	0.541582i	$-0.182175\pi$
$89$	1.74473	+	2.01353i	0.184941	+	0.213433i	−0.655707	+	0.755016i	$0.727629\pi$
$90$	10.1650	−	7.56705i	1.07149	−	0.797637i
$91$		−	3.74424i		−	0.392503i
$92$	−8.71728	−	4.00113i	−0.908839	−	0.417147i
$93$			21.2929i			2.20798i
$94$	−3.89342	−	5.23014i	−0.401576	−	0.539447i
$95$	2.15976	+	2.49250i	0.221587	+	0.255725i
$96$	12.4903	+	12.8294i	1.27479	+	1.30939i
$97$	−1.43796	−	10.0012i	−0.146002	−	1.01547i	−0.922679	−	0.385569i	$-0.874005\pi$
$97$	−1.43796	−	10.0012i	−0.146002	−	1.01547i	0.776677	−	0.629900i	$-0.216904\pi$
$98$	−1.68366	+	7.64107i	−0.170075	+	0.771865i
$99$	−8.00918	−	3.65767i	−0.804953	−	0.367610i
$100$	0.0361003	−	6.74008i	0.00361003	−	0.674008i
$101$	7.71281	+	1.10893i	0.767453	+	0.110343i	0.514912	−	0.857243i	$-0.327825\pi$
$101$	7.71281	+	1.10893i	0.767453	+	0.110343i	0.252541	+	0.967586i	$0.418734\pi$
$102$	−20.5963	−	20.7070i	−2.03934	−	2.05029i
$103$	8.20519	+	2.40926i	0.808481	+	0.237391i	0.659749	−	0.751486i	$-0.270663\pi$
$103$	8.20519	+	2.40926i	0.808481	+	0.237391i	0.148732	+	0.988878i	$0.452481\pi$
$104$	6.23146	−	6.13213i	0.611045	−	0.601305i
$105$	−2.03346	−	4.45266i	−0.198446	−	0.434535i
$106$	−4.25801	−	19.8293i	−0.413574	−	1.92599i
$107$	3.28473	+	2.84623i	0.317546	+	0.275156i	0.799019	−	0.601306i	$-0.205353\pi$
$107$	3.28473	+	2.84623i	0.317546	+	0.275156i	−0.481473	+	0.876461i	$0.659898\pi$
$108$	−24.4481	+	7.03661i	−2.35252	+	0.677098i
$109$	7.96854	−	12.3993i	0.763247	−	1.18764i	−0.214269	−	0.976775i	$-0.568737\pi$
$109$	7.96854	−	12.3993i	0.763247	−	1.18764i	0.977516	−	0.210861i	$-0.0676269\pi$
$110$	1.99080	−	1.08015i	0.189816	−	0.102988i
$111$	−27.8652	+	17.9079i	−2.64485	+	1.69974i
$112$	4.10400	−	2.57578i	0.387791	−	0.243388i
$113$	−11.1728	+	3.28063i	−1.05105	+	0.308616i	−0.761241	−	0.648469i	$-0.775410\pi$
$113$	−11.1728	+	3.28063i	−1.05105	+	0.308616i	−0.289808	+	0.957085i	$0.593592\pi$
$114$	−4.01207	−	10.8454i	−0.375765	−	1.01576i
$115$	0.0211302	+	6.12270i	0.00197041	+	0.570945i
$116$	−0.940399	−	1.09710i	−0.0873138	−	0.101863i
$117$	6.11217	+	20.8161i	0.565070	+	1.92445i
$118$	12.5438	+	6.89310i	1.15475	+	0.634561i
$119$	−6.64878	+	4.27291i	−0.609492	+	0.391697i
$120$	4.08017	−	10.6766i	0.372466	−	0.974635i
$121$	7.92990	+	5.09624i	0.720900	+	0.463294i
$122$	0.217463	−	2.93023i	0.0196882	−	0.265291i
$123$	−11.7820	−	10.2091i	−1.06235	−	0.920528i
$124$	7.21318	+	11.3572i	0.647763	+	1.01991i
$125$	−9.72025	+	4.43909i	−0.869406	+	0.397044i
$126$	0.825644	+	11.9954i	0.0735542	+	1.06863i
$127$	−3.91568	−	1.14975i	−0.347460	−	0.102024i	0.103346	−	0.994645i	$-0.467045\pi$
$127$	−3.91568	−	1.14975i	−0.347460	−	0.102024i	−0.450806	+	0.892622i	$0.648863\pi$
$128$	11.0081	+	2.61171i	0.972991	+	0.230845i
$129$	−2.04384	+	14.2152i	−0.179950	+	1.25158i
$130$	−5.22368	−	1.96428i	−0.458147	−	0.172279i
$131$	−4.17754	−	1.90782i	−0.364994	−	0.166687i	0.224472	−	0.974481i	$-0.427934\pi$
$131$	−4.17754	−	1.90782i	−0.364994	−	0.166687i	−0.589465	+	0.807794i	$0.700662\pi$
$132$	−7.86655	+	1.08807i	−0.684695	+	0.0947041i
$133$	−3.09740	+	0.445339i	−0.268579	+	0.0386158i
$134$	−0.561966	+	0.746523i	−0.0485464	+	0.0644897i
$135$	10.6348	+	12.2732i	0.915296	+	1.05631i
$136$	−18.0003	−	4.06746i	−1.54352	−	0.348782i
$137$	6.41920			0.548430			0.274215	−	0.961668i	$-0.411582\pi$
$137$	6.41920			0.548430			0.274215	+	0.961668i	$0.411582\pi$
$138$	7.48664	−	20.1200i	0.637305	−	1.71272i
$139$			1.41079i			0.119661i	0.998209	+	0.0598307i	$0.0190561\pi$
$139$			1.41079i			0.119661i	−0.998209	+	0.0598307i	$0.980944\pi$
$140$	−2.59299	−	1.68610i	−0.219147	−	0.142502i
$141$	11.0289	−	9.55656i	0.928798	−	0.804808i
$142$	−8.51549	−	6.41027i	−0.714604	−	0.537938i
$143$	0.551838	+	3.83812i	0.0461470	+	0.320959i
$144$	−18.6114	+	21.0195i	−1.55095	+	1.75163i
$145$	−0.383174	+	0.839034i	−0.0318209	+	0.0696780i
$146$	15.0307	+	5.65205i	1.24395	+	0.467767i
$147$	−17.3340	−	2.49225i	−1.42968	−	0.205557i
$148$	−8.79627	+	18.9913i	−0.723049	+	1.56107i
$149$	−2.97150	+	10.1200i	−0.243434	+	0.829061i	0.743610	+	0.668614i	$0.233112\pi$
$149$	−2.97150	+	10.1200i	−0.243434	+	0.829061i	−0.987044	+	0.160448i	$0.948706\pi$
$150$	15.0500	−	1.03590i	1.22883	−	0.0845805i
$151$	−5.51525	−	12.0767i	−0.448824	−	0.982788i	−0.989894	−	0.141810i	$-0.954708\pi$
$151$	−5.51525	−	12.0767i	−0.448824	−	0.982788i	0.541069	−	0.840978i	$-0.318020\pi$
$152$	−5.81393	−	4.42558i	−0.471572	−	0.358962i
$153$	29.9887	−	34.6088i	2.42445	−	2.79796i
$154$	−0.159050	+	2.14314i	−0.0128166	+	0.172699i
$155$	4.64322	−	7.22500i	0.372953	−	0.580326i
$156$	14.7193	+	12.8930i	1.17849	+	1.03227i
$157$	4.65143	+	7.23777i	0.371225	+	0.577637i	0.975734	−	0.218961i	$-0.0702669\pi$
$157$	4.65143	+	7.23777i	0.371225	+	0.577637i	−0.604509	+	0.796599i	$0.706631\pi$
$158$	9.59271	−	17.4564i	0.763155	−	1.38876i
$159$	43.5541	−	12.7886i	3.45406	−	1.01420i
$160$	−1.44052	−	7.07687i	−0.113883	−	0.559475i
$161$	−4.89797	−	3.12390i	−0.386014	−	0.246198i
$162$	−9.42404	−	25.4750i	−0.740422	−	2.00150i
$163$	−0.516696	−	1.75970i	−0.0404707	−	0.137831i	0.936779	−	0.349920i	$-0.113791\pi$
$163$	−0.516696	−	1.75970i	−0.0404707	−	0.137831i	−0.977250	+	0.212090i	$0.931973\pi$
$164$	−9.74271	−	1.45409i	−0.760778	−	0.113546i
$165$	2.74069	+	4.26460i	0.213362	+	0.331998i
$166$	6.03405	+	11.1212i	0.468333	+	0.863176i
$167$	−0.959864	−	0.616867i	−0.0742765	−	0.0477346i	0.502975	−	0.864301i	$-0.332239\pi$
$167$	−0.959864	−	0.616867i	−0.0742765	−	0.0477346i	−0.577252	+	0.816566i	$0.695875\pi$
$168$	6.42902	+	8.73355i	0.496010	+	0.673808i
$169$	−2.25647	+	2.60411i	−0.173575	+	0.200316i
$170$	2.47319	+	11.5175i	0.189685	+	0.883350i
$171$	16.4930	−	7.53211i	1.26125	−	0.575995i
$172$	3.72539	+	8.27446i	0.284058	+	0.630922i
$173$	−0.319555	+	1.08831i	−0.0242953	+	0.0827424i	−0.970748	−	0.240099i	$-0.922820\pi$
$173$	−0.319555	+	1.08831i	−0.0242953	+	0.0827424i	0.946453	+	0.322842i	$0.104638\pi$
$174$	2.29297	−	2.28072i	0.173830	−	0.172901i
$175$	0.580974	−	4.04077i	0.0439175	−	0.305453i
$176$	−3.82726	+	3.24522i	−0.288491	+	0.244618i
$177$	−13.3077	+	29.1399i	−1.00027	+	2.19029i
$178$	−0.810772	+	3.67959i	−0.0607700	+	0.275797i
$179$	4.54801	−	0.653906i	0.339935	−	0.0488752i	0.0297663	−	0.999557i	$-0.490524\pi$
$179$	4.54801	−	0.653906i	0.339935	−	0.0488752i	0.310168	+	0.950682i	$0.399615\pi$
$180$	17.1682	+	5.14106i	1.27964	+	0.383192i
$181$	−11.5701	+	10.0256i	−0.859999	+	0.745194i	−0.968529	−	0.248900i	$-0.919931\pi$
$181$	−11.5701	+	10.0256i	−0.859999	+	0.745194i	0.108530	+	0.994093i	$0.465386\pi$
$182$	4.24748	−	3.16191i	0.314844	−	0.234376i
$183$	6.57638			0.486140
$184$	−2.82260	−	13.2677i	−0.208085	−	0.978111i
$185$	13.3601			0.982256
$186$	−24.1548	+	17.9813i	−1.77111	+	1.31845i
$187$	6.18572	−	5.35995i	0.452344	−	0.391959i
$188$	2.64519	−	8.83340i	0.192921	−	0.644242i
$189$	−15.2518	+	2.19287i	−1.10940	+	0.159508i
$190$	−1.00364	+	4.55488i	−0.0728114	+	0.330446i
$191$	−0.541163	+	1.18498i	−0.0391572	+	0.0857422i	−0.928200	−	0.372082i	$-0.878644\pi$
$191$	−0.541163	+	1.18498i	−0.0391572	+	0.0857422i	0.889043	+	0.457824i	$0.151371\pi$
$192$	−4.00594	+	25.0030i	−0.289104	+	1.80444i
$193$	1.60035	−	11.1307i	0.115196	−	0.801206i	−0.847534	−	0.530741i	$-0.821914\pi$
$193$	1.60035	−	11.1307i	0.115196	−	0.801206i	0.962730	−	0.270464i	$-0.0871773\pi$
$194$	10.1311	−	10.0770i	0.727369	−	0.723483i
$195$	3.51904	−	11.9848i	0.252004	−	0.858246i
$196$	−10.0898	+	4.54272i	−0.720703	+	0.324480i
$197$	−9.05890	+	4.13706i	−0.645420	+	0.294753i	−0.711104	−	0.703087i	$-0.751804\pi$
$197$	−9.05890	+	4.13706i	−0.645420	+	0.294753i	0.0656840	+	0.997840i	$0.479077\pi$
$198$	−2.61426	−	12.1744i	−0.185787	−	0.865199i
$199$	−4.69700	+	5.42063i	−0.332962	+	0.384258i	−0.897401	−	0.441217i	$-0.854547\pi$
$199$	−4.69700	+	5.42063i	−0.332962	+	0.384258i	0.564439	+	0.825475i	$0.309093\pi$
$200$	7.67645	−	5.65086i	0.542807	−	0.399576i
$201$	−1.75934	−	1.13066i	−0.124095	−	0.0797508i
$202$	5.25527	+	9.68589i	0.369759	+	0.681497i
$203$	−0.473158	−	0.736248i	−0.0332092	−	0.0516745i
$204$	6.09698	−	40.8510i	0.426874	−	2.86014i
$205$	1.77155	+	6.03333i	0.123730	+	0.421386i
$206$	4.19598	+	11.3425i	0.292348	+	0.790272i
$207$	32.3298	+	9.37181i	2.24707	+	0.651386i
$208$	12.2186	+	1.89057i	0.847207	+	0.131088i
$209$	3.10942	−	0.913008i	0.215083	−	0.0631541i
$210$	3.33391	−	6.06691i	0.230061	−	0.418656i
$211$	−7.89017	−	12.2773i	−0.543182	−	0.845207i	0.455811	−	0.890077i	$-0.349349\pi$
$211$	−7.89017	−	12.2773i	−0.543182	−	0.845207i	−0.998993	+	0.0448692i	$0.985713\pi$
$212$	18.8986	−	21.5755i	1.29796	−	1.48181i
$213$	12.8973	−	20.0686i	0.883710	−	1.37508i
$214$	−0.454912	+	6.12976i	−0.0310971	+	0.419022i
$215$	3.79332	−	4.37773i	0.258702	−	0.298559i
$216$	−28.6281	−	21.7918i	−1.94790	−	1.48274i
$217$	3.38514	+	7.41242i	0.229798	+	0.503188i
$218$	20.7950	−	1.43132i	1.40841	−	0.0969414i
$219$	−10.1257	+	34.4851i	−0.684234	+	2.33029i
$220$	2.90650	+	1.34621i	0.195956	+	0.0907617i
$221$	−19.9620	−	2.87011i	−1.34279	−	0.193064i
$222$	−43.8461	−	16.4876i	−2.94276	−	1.10658i
$223$	4.26958	−	9.34907i	0.285912	−	0.626060i	−0.711118	−	0.703073i	$-0.751811\pi$
$223$	4.26958	−	9.34907i	0.285912	−	0.626060i	0.997030	+	0.0770126i	$0.0245382\pi$
$224$	6.38768	+	2.48041i	0.426795	+	0.165729i
$225$	3.36629	+	23.4131i	0.224419	+	1.56087i
$226$	−13.1567	−	9.90405i	−0.875169	−	0.658808i
$227$	−3.76299	+	3.26065i	−0.249758	+	0.216417i	−0.770738	−	0.637152i	$-0.780112\pi$
$227$	−3.76299	+	3.26065i	−0.249758	+	0.216417i	0.520980	+	0.853569i	$0.325567\pi$
$228$	8.91495	−	13.7099i	0.590407	−	0.907962i
$229$		−	14.9765i		−	0.989678i	−0.868985	−	0.494839i	$-0.835227\pi$
$229$		−	14.9765i		−	0.989678i	0.868985	−	0.494839i	$-0.164773\pi$
$230$	−6.92776	+	5.19442i	−0.456803	+	0.342510i
$231$	−4.80988			−0.316467
$232$	0.450408	−	1.99326i	0.0295707	−	0.130864i
$233$	−4.05269	−	4.67706i	−0.265501	−	0.306404i	0.607308	−	0.794466i	$-0.292249\pi$
$233$	−4.05269	−	4.67706i	−0.265501	−	0.306404i	−0.872809	+	0.488062i	$0.837704\pi$
$234$	−18.4523	+	24.5123i	−1.20627	+	1.60242i
$235$	−5.82619	+	0.837680i	−0.380059	+	0.0546442i
$236$	2.77333	+	20.0507i	0.180528	+	1.30519i
$237$	40.5522	+	18.5196i	2.63415	+	1.20298i
$238$	−10.4619	−	3.93403i	−0.678144	−	0.255005i
$239$	2.30697	−	16.0453i	0.149225	−	1.03789i	−0.768266	−	0.640131i	$-0.778880\pi$
$239$	2.30697	−	16.0453i	0.149225	−	1.03789i	0.917492	−	0.397755i	$-0.130211\pi$
$240$	15.5571	−	4.38753i	1.00421	−	0.283214i
$241$	−12.9632	−	3.80634i	−0.835034	−	0.245188i	−0.163856	−	0.986484i	$-0.552393\pi$
$241$	−12.9632	−	3.80634i	−0.835034	−	0.245188i	−0.671178	+	0.741296i	$0.734211\pi$
$242$	0.915395	+	13.2993i	0.0588438	+	0.854913i
$243$	20.5873	−	9.40191i	1.32068	−	0.603133i
$244$	3.50770	−	2.22781i	0.224558	−	0.142621i
$245$	5.33819	+	4.62556i	0.341044	+	0.295516i
$246$	1.63172	−	21.9868i	0.104035	−	1.40183i
$247$	−6.71739	−	4.31700i	−0.427417	−	0.274684i
$248$	−6.79232	+	17.7735i	−0.431313	+	1.12862i
$249$	−23.8234	+	15.3104i	−1.50975	+	0.970254i
$250$	−13.2442	−	7.27799i	−0.837636	−	0.460300i
$251$	4.88800	+	16.6470i	0.308528	+	1.05075i	0.957139	+	0.289630i	$0.0935321\pi$
$251$	4.88800	+	16.6470i	0.308528	+	1.05075i	−0.648611	+	0.761120i	$0.724650\pi$
$252$	−12.9103	+	11.0664i	−0.813275	+	0.697115i
$253$	5.48117	+	2.48034i	0.344598	+	0.155938i
$254$	−2.00240	−	5.41288i	−0.125642	−	0.339634i
$255$	−25.2976	+	7.42805i	−1.58420	+	0.465163i
$256$	6.33333	+	14.6932i	0.395833	+	0.918322i
$257$	−6.73653	+	4.32930i	−0.420213	+	0.270054i	−0.733614	−	0.679566i	$-0.762168\pi$
$257$	−6.73653	+	4.32930i	−0.420213	+	0.270054i	0.313401	+	0.949621i	$0.398532\pi$
$258$	−17.8517	+	9.68580i	−1.11140	+	0.603011i
$259$	−6.85335	+	10.6640i	−0.425846	+	0.662630i
$260$	−2.18296	−	7.58453i	−0.135382	−	0.470372i
$261$	3.83239	+	3.32079i	0.237219	+	0.205551i
$262$	−1.36358	−	6.35011i	−0.0842424	−	0.392311i
$263$	1.41540	+	3.09929i	0.0872773	+	0.191111i	0.948238	−	0.317561i	$-0.102864\pi$
$263$	1.41540	+	3.09929i	0.0872773	+	0.191111i	−0.860960	+	0.508672i	$0.830137\pi$
$264$	−7.87738	−	8.00499i	−0.484819	−	0.492673i
$265$	−17.5673	−	5.15821i	−1.07915	−	0.316867i
$266$	−3.12086	−	3.13762i	−0.191352	−	0.192380i
$267$	−8.34724	−	1.20015i	−0.510843	−	0.0734481i
$268$	−1.32142	−	0.00707762i	−0.0807186	−	0.000432334i
$269$	−18.8724	−	8.61874i	−1.15067	−	0.525494i	−0.253569	−	0.967317i	$-0.581604\pi$
$269$	−18.8724	−	8.61874i	−1.15067	−	0.525494i	−0.897102	+	0.441824i	$0.854332\pi$
$270$	−4.94196	+	22.4285i	−0.300758	+	1.36495i
$271$	1.05318	+	7.32500i	0.0639759	+	0.444962i	0.996482	+	0.0838077i	$0.0267082\pi$
$271$	1.05318	+	7.32500i	0.0639759	+	0.444962i	−0.932506	+	0.361154i	$0.882383\pi$
$272$	−10.5866	−	23.8545i	−0.641909	−	1.44639i
$273$	7.76104	+	8.95671i	0.469719	+	0.542085i
$274$	5.42084	+	7.28196i	0.327485	+	0.439919i
$275$			4.22770i			0.254940i
$276$	29.1464	−	8.49787i	1.75441	−	0.511512i
$277$			5.31029i			0.319064i	0.987193	+	0.159532i	$0.0509986\pi$
$277$			5.31029i			0.319064i	−0.987193	+	0.159532i	$0.949001\pi$
$278$	−1.60040	+	1.19137i	−0.0959855	+	0.0714536i
$279$	−30.9199	−	35.6834i	−1.85112	−	2.13631i
$280$	−0.276985	−	4.36536i	−0.0165530	−	0.260880i
$281$	−3.75200	−	26.0957i	−0.223825	−	1.55674i	−0.723375	−	0.690455i	$-0.757410\pi$
$281$	−3.75200	−	26.0957i	−0.223825	−	1.55674i	0.499550	−	0.866285i	$-0.333499\pi$
$282$	20.1545	+	4.44091i	1.20019	+	0.264453i
$283$	−18.0368	−	8.23713i	−1.07218	−	0.489647i	−0.200482	−	0.979697i	$-0.564251\pi$
$283$	−18.0368	−	8.23713i	−1.07218	−	0.489647i	−0.871694	+	0.490051i	$0.836978\pi$
$284$	0.0807335	−	15.0733i	0.00479065	−	0.894435i
$285$	−10.3329	−	1.48564i	−0.612066	−	0.0880017i
$286$	−3.88795	+	3.86719i	−0.229900	+	0.228672i
$287$	−5.72455	−	1.68088i	−0.337909	−	0.0992191i
$288$	−39.5614	−	3.36247i	−2.33118	−	0.198135i
$289$	10.6220	+	23.2589i	0.624822	+	1.36817i
$290$	−1.27538	+	0.273867i	−0.0748930	+	0.0160820i
$291$	24.1702	+	20.9436i	1.41688	+	1.22774i
$292$	6.28128	+	21.8238i	0.367584	+	1.27714i
$293$	−2.65851	+	4.13672i	−0.155312	+	0.241670i	−0.910186	−	0.414200i	$-0.864061\pi$
$293$	−2.65851	+	4.13672i	−0.155312	+	0.241670i	0.754874	+	0.655869i	$0.227698\pi$
$294$	−11.8108	−	21.7683i	−0.688821	−	1.26955i
$295$	10.8699	−	6.98563i	0.632868	−	0.406719i
$296$	−28.9720	+	6.05911i	−1.68396	+	0.352178i
$297$	15.3109	−	4.49570i	0.888431	−	0.260867i
$298$	−13.9895	+	5.17517i	−0.810388	+	0.299790i
$299$	−4.22544	−	14.2089i	−0.244363	−	0.821724i
$300$	13.8844	+	16.1980i	0.801618	+	0.935191i
$301$	1.54843	+	5.27347i	0.0892500	+	0.303958i
$302$	9.04237	−	16.4549i	0.520330	−	0.946876i
$303$	−20.7486	+	13.3343i	−1.19198	+	0.766037i
$304$	0.110687	−	10.3326i	0.00634836	−	0.592616i
$305$	−2.23146	−	1.43407i	−0.127773	−	0.0821146i
$306$	64.5850	+	4.79309i	3.69208	+	0.274002i
$307$	16.8371	+	14.5895i	0.960947	+	0.832665i	0.985953	−	0.167022i	$-0.0534152\pi$
$307$	16.8371	+	14.5895i	0.960947	+	0.832665i	−0.0250066	+	0.999687i	$0.507961\pi$
$308$	−2.56549	+	1.62939i	−0.146183	+	0.0928433i
$309$	−24.6218	+	11.2444i	−1.40068	+	0.639671i
$310$	12.1171	−	0.834024i	0.688206	−	0.0473694i
$311$	28.1163	+	8.25568i	1.59433	+	0.468137i	0.953960	−	0.299933i	$-0.0969642\pi$
$311$	28.1163	+	8.25568i	1.59433	+	0.468137i	0.640367	+	0.768069i	$0.278782\pi$
$312$	−2.19583	+	27.5854i	−0.124315	+	1.56171i
$313$	1.34947	−	9.38578i	0.0762766	−	0.530515i	−0.915478	−	0.402367i	$-0.868188\pi$
$313$	1.34947	−	9.38578i	0.0762766	−	0.530515i	0.991755	−	0.128148i	$-0.0409034\pi$
$314$	−4.28254	+	11.3887i	−0.241678	+	0.642701i
$315$	9.87353	+	4.50909i	0.556311	+	0.254059i
$316$	27.9034	−	3.85948i	1.56969	−	0.217112i
$317$	−20.2477	+	2.91118i	−1.13723	+	0.163508i	−0.685102	−	0.728447i	$-0.740242\pi$
$317$	−20.2477	+	2.91118i	−1.13723	+	0.163508i	−0.452123	+	0.891955i	$0.649333\pi$
$318$	51.2877	+	38.6082i	2.87607	+	2.16504i
$319$	0.593531	+	0.684972i	0.0332314	+	0.0383510i
$320$	6.81153	−	7.61034i	0.380776	−	0.425431i
$321$	−13.7571			−0.767848
$322$	−0.592436	−	8.19431i	−0.0330152	−	0.456651i
$323$			16.8548i			0.937828i
$324$	20.9405	−	32.2035i	1.16336	−	1.78909i
$325$	7.87260	−	6.82165i	0.436693	−	0.378397i
$326$	1.55988	−	2.07216i	0.0863936	−	0.114766i
$327$	6.63937	+	46.1778i	0.367158	+	2.55364i
$328$	−6.57792	−	12.2801i	−0.363205	−	0.678055i
$329$	2.32003	−	5.08016i	0.127907	−	0.280078i
$330$	−2.52333	+	6.71038i	−0.138905	+	0.369394i
$331$	−4.61547	−	0.663604i	−0.253689	−	0.0364750i	0.0142969	−	0.999898i	$-0.495449\pi$
$331$	−4.61547	−	0.663604i	−0.253689	−	0.0364750i	−0.267986	+	0.963423i	$0.586358\pi$
$332$	−7.52037	+	16.2366i	−0.412734	+	0.891100i
$333$	20.6931	−	70.4742i	1.13397	−	3.86196i
$334$	−0.110803	−	1.60980i	−0.00606286	−	0.0880843i
$335$	0.350414	+	0.767299i	0.0191452	+	0.0419220i
$336$	−4.47823	+	14.6683i	−0.244308	+	0.800223i
$337$	10.3921	−	11.9931i	0.566092	−	0.653305i	−0.398464	−	0.917184i	$-0.630457\pi$
$337$	10.3921	−	11.9931i	0.566092	−	0.653305i	0.964556	+	0.263879i	$0.0850020\pi$
$338$	−4.85964	−	0.360651i	−0.264329	−	0.0196168i
$339$	19.9267	−	31.0066i	1.08227	−	1.68405i
$340$	−10.9769	+	12.5318i	−0.595307	+	0.679631i
$341$	−4.56247	−	7.09935i	−0.247072	−	0.384451i
$342$	22.4723	+	12.3491i	1.21517	+	0.667761i
$343$	−14.5663	+	4.27706i	−0.786508	+	0.230940i
$344$	−6.24058	+	11.2136i	−0.336469	+	0.604599i
$345$	−12.7416	−	14.6025i	−0.685986	−	0.786172i
$346$	−1.50443	+	0.556539i	−0.0808787	+	0.0299197i
$347$	−5.34162	−	18.1919i	−0.286753	−	0.976592i	−0.969327	−	0.245775i	$-0.920958\pi$
$347$	−5.34162	−	18.1919i	−0.286753	−	0.976592i	0.682574	−	0.730817i	$-0.260861\pi$
$348$	4.52361	+	0.675145i	0.242491	+	0.0361916i
$349$	6.00806	+	9.34872i	0.321604	+	0.500426i	0.963984	−	0.265961i	$-0.0856892\pi$
$349$	6.00806	+	9.34872i	0.321604	+	0.500426i	−0.642380	+	0.766386i	$0.722053\pi$
$350$	5.07447	−	2.75325i	0.271242	−	0.147168i
$351$	−33.0768	−	21.2572i	−1.76551	−	1.13462i
$352$	−6.91340	−	1.60116i	−0.368485	−	0.0853420i
$353$	8.66680	−	10.0020i	0.461287	−	0.532354i	−0.476680	−	0.879077i	$-0.658160\pi$
$353$	8.66680	−	10.0020i	0.461287	−	0.532354i	0.937968	+	0.346723i	$0.112706\pi$
$354$	−44.2943	+	9.51148i	−2.35422	+	0.505529i
$355$	−8.75249	+	3.99713i	−0.464534	+	0.212146i
$356$	−4.85881	+	2.18757i	−0.257516	+	0.115941i
$357$	7.04788	−	24.0029i	0.373013	−	1.27037i
$358$	4.58246	+	4.60707i	0.242191	+	0.243491i
$359$	−0.763274	+	5.30869i	−0.0402841	+	0.280182i	−1.00000		0.000791325i	$-0.999748\pi$
$359$	−0.763274	+	5.30869i	−0.0402841	+	0.280182i	0.959716	+	0.280973i	$0.0906572\pi$
$360$	8.66599	+	23.8171i	0.456738	+	1.25527i
$361$	5.12064	−	11.2126i	0.269507	−	0.590138i
$362$	−21.1436	−	4.65885i	−1.11128	−	0.244864i
$363$	−29.5328	+	4.24617i	−1.55007	+	0.222866i
$364$	7.17375	+	2.14820i	0.376007	+	0.112596i
$365$	10.9558	−	9.49322i	0.573451	−	0.496898i
$366$	5.55356	+	7.46025i	0.290289	+	0.389954i
$367$	−12.1591			−0.634700			−0.317350	−	0.948309i	$-0.602793\pi$
$367$	−12.1591			−0.634700			−0.317350	+	0.948309i	$0.602793\pi$
$368$	12.6673	−	14.4062i	0.660331	−	0.750975i
$369$	34.5695			1.79962
$370$	11.2822	+	15.1557i	0.586536	+	0.787910i
$371$	13.1288	−	11.3761i	0.681611	−	0.590619i
$372$	−40.7960	−	12.2165i	−2.11517	−	0.633396i
$373$	7.06899	−	1.01637i	0.366019	−	0.0526255i	0.0431481	−	0.999069i	$-0.486261\pi$
$373$	7.06899	−	1.01637i	0.366019	−	0.0526255i	0.322870	+	0.946443i	$0.395352\pi$
$374$	11.3040	+	2.49076i	0.584516	+	0.128794i
$375$	14.0508	−	30.7669i	0.725580	−	1.58880i
$376$	12.2544	−	4.45885i	0.631973	−	0.229947i
$377$	0.317820	−	2.21049i	0.0163686	−	0.113846i
$378$	−15.3673	−	15.4498i	−0.790407	−	0.794652i
$379$	−3.42673	+	11.6704i	−0.176019	+	0.599466i	0.823466	+	0.567366i	$0.192038\pi$
$379$	−3.42673	+	11.6704i	−0.176019	+	0.599466i	−0.999485	+	0.0320998i	$0.989781\pi$
$380$	−6.01461	+	2.70794i	−0.308543	+	0.138914i
$381$	11.7500	−	5.36604i	0.601970	−	0.274911i
$382$	−1.80124	+	0.386787i	−0.0921595	+	0.0197897i
$383$	−18.9352	+	21.8524i	−0.967546	+	1.11661i	0.0255938	+	0.999672i	$0.491852\pi$
$383$	−18.9352	+	21.8524i	−0.967546	+	1.11661i	−0.993140	+	0.116935i	$0.962693\pi$
$384$	−31.7464	+	16.5700i	−1.62005	+	0.845586i
$385$	1.63206	+	1.04886i	0.0831776	+	0.0534550i
$386$	13.9781	−	7.58412i	0.711469	−	0.386022i
$387$	−17.2170	−	26.7902i	−0.875190	−	1.36182i
$388$	19.9867	+	2.98300i	1.01467	+	0.151439i
$389$	−4.74824	−	16.1710i	−0.240745	−	0.819903i	−0.987879	−	0.155229i	$-0.950389\pi$
$389$	−4.74824	−	16.1710i	−0.240745	−	0.819903i	0.747133	−	0.664674i	$-0.231430\pi$
$390$	16.5673	−	6.12878i	0.838916	−	0.310343i
$391$	−20.4092	+	23.7184i	−1.03214	+	1.19949i
$392$	−13.6739	−	7.60974i	−0.690634	−	0.384350i
$393$	13.9477	−	4.09542i	0.703570	−	0.206587i
$394$	−12.3431	−	6.78280i	−0.621835	−	0.341712i
$395$	−9.72148	−	15.1269i	−0.489141	−	0.761118i
$396$	11.6030	−	13.2466i	0.583074	−	0.665666i
$397$	10.0749	−	15.6769i	0.505645	−	0.786799i	−0.490780	−	0.871284i	$-0.663288\pi$
$397$	10.0749	−	15.6769i	0.505645	−	0.786799i	0.996425	+	0.0844847i	$0.0269244\pi$
$398$	−10.1157	−	0.750720i	−0.507052	−	0.0376302i
$399$	6.48628	−	7.48557i	0.324720	−	0.374747i
$400$	12.8929	+	3.93619i	0.644644	+	0.196809i
$401$	−0.466307	−	1.02107i	−0.0232863	−	0.0509898i	0.897632	−	0.440747i	$-0.145286\pi$
$401$	−0.466307	−	1.02107i	−0.0232863	−	0.0509898i	−0.920918	+	0.389757i	$0.872559\pi$
$402$	−0.203092	−	2.95062i	−0.0101293	−	0.147163i
$403$	−5.85821	+	19.9512i	−0.291818	+	0.993841i
$404$	−6.54976	+	14.1410i	−0.325863	+	0.703543i
$405$	−24.2711	−	3.48965i	−1.20604	−	0.173402i
$406$	0.435633	−	1.15849i	0.0216201	−	0.0574950i
$407$	5.45348	−	11.9414i	0.270319	−	0.591916i
$408$	51.4901	−	27.5811i	2.54914	−	1.36547i
$409$	2.79300	+	19.4258i	0.138105	+	0.960542i	0.934550	+	0.355831i	$0.115802\pi$
$409$	2.79300	+	19.4258i	0.138105	+	0.960542i	−0.796445	+	0.604711i	$0.793289\pi$
$410$	−5.34821	+	7.10463i	−0.264129	+	0.350873i
$411$	−15.3556	+	13.3057i	−0.757434	+	0.656321i
$412$	−9.32360	+	14.3384i	−0.459341	+	0.706401i
$413$			12.2597i			0.603261i
$414$	16.6702	+	44.5892i	0.819295	+	2.19144i
$415$	11.4222			0.560696
$416$	8.17359	+	15.4573i	0.400743	+	0.757858i
$417$	−2.92427	−	3.37478i	−0.143202	−	0.165264i
$418$	3.66153	+	2.75632i	0.179092	+	0.134816i
$419$	38.9714	−	5.60325i	1.90388	−	0.273737i	0.912945	−	0.408082i	$-0.133802\pi$
$419$	38.9714	−	5.60325i	1.90388	−	0.273737i	0.990935	+	0.134345i	$0.0428931\pi$
$420$	9.69770	−	1.34134i	0.473199	−	0.0654509i
$421$	11.6357	+	5.31385i	0.567090	+	0.258981i	0.678262	−	0.734820i	$-0.262733\pi$
$421$	11.6357	+	5.31385i	0.567090	+	0.258981i	−0.111172	+	0.993801i	$0.535461\pi$
$422$	7.26442	−	19.3185i	0.353626	−	0.940410i
$423$	−4.60528	+	32.0304i	−0.223916	+	1.55737i
$424$	40.4347	+	3.21865i	1.96368	+	0.156312i
$425$	−21.0976	−	6.19481i	−1.02338	−	0.300492i
$426$	33.6573	−	2.31664i	1.63070	−	0.112242i
$427$	2.28934	−	1.04551i	0.110789	−	0.0505957i
$428$	−7.33777	+	4.66036i	−0.354685	+	0.225267i
$429$	−9.27568	−	8.03743i	−0.447834	−	0.388051i
$430$	8.16946	+	0.606285i	0.393966	+	0.0292377i
$431$	34.1282	+	21.9328i	1.64390	+	1.05647i	0.937106	+	0.349046i	$0.113494\pi$
$431$	34.1282	+	21.9328i	1.64390	+	1.05647i	0.706791	+	0.707423i	$0.250142\pi$
$432$	0.545031	−	50.8783i	0.0262228	−	2.44788i
$433$	−13.1843	+	8.47305i	−0.633598	+	0.407189i	−0.817640	−	0.575729i	$-0.804718\pi$
$433$	−13.1843	+	8.47305i	−0.633598	+	0.407189i	0.184042	+	0.982918i	$0.441082\pi$
$434$	−5.55001	+	10.0997i	−0.266409	+	0.484800i
$435$	−0.822541	−	2.80132i	−0.0394378	−	0.134313i
$436$	19.1845	+	22.3811i	0.918769	+	1.07186i
$437$	−11.2517	+	5.18547i	−0.538240	+	0.248055i
$438$	−47.6708	+	17.6350i	−2.27780	+	0.842634i
$439$	12.0267	−	3.53135i	0.574002	−	0.168542i	0.0181670	−	0.999835i	$-0.494217\pi$
$439$	12.0267	−	3.53135i	0.574002	−	0.168542i	0.555835	+	0.831293i	$0.312399\pi$
$440$	0.927309	+	4.43398i	0.0442077	+	0.211382i
$441$	32.6679	−	20.9944i	1.55561	−	0.999731i
$442$	−13.6015	−	25.0687i	−0.646959	−	1.19240i
$443$	−13.8182	+	21.5016i	−0.656524	+	1.02157i	0.340173	+	0.940363i	$0.389514\pi$
$443$	−13.8182	+	21.5016i	−0.656524	+	1.02157i	−0.996697	+	0.0812088i	$0.974122\pi$
$444$	−18.3232	−	63.6625i	−0.869580	−	3.02129i
$445$	2.57063	+	2.22746i	0.121859	+	0.105592i
$446$	14.2111	−	3.05161i	0.672917	−	0.144498i
$447$	−13.8684	−	30.3676i	−0.655954	−	1.43634i
$448$	2.58044	+	9.34083i	0.121914	+	0.441313i
$449$	10.8684	+	3.19126i	0.512914	+	0.150605i	0.527939	−	0.849282i	$-0.322965\pi$
$449$	10.8684	+	3.19126i	0.512914	+	0.150605i	−0.0150256	+	0.999887i	$0.504783\pi$
$450$	−23.7171	+	23.5904i	−1.11803	+	1.11206i
$451$	6.11580	+	0.879319i	0.287982	+	0.0414055i
$452$	0.124736	−	23.2886i	0.00586707	−	1.09541i
$453$	38.2257	+	17.4571i	1.79600	+	0.820205i
$454$	−6.87662	−	1.51522i	−0.322736	−	0.0711126i
$455$	−0.680293	−	4.73154i	−0.0318926	−	0.221818i
$456$	23.0810	−	1.46451i	1.08087	−	0.0685818i
$457$	−0.245374	−	0.283177i	−0.0114781	−	0.0132464i	0.749981	−	0.661459i	$-0.230062\pi$
$457$	−0.245374	−	0.283177i	−0.0114781	−	0.0132464i	−0.761460	+	0.648212i	$0.775517\pi$
$458$	16.9894	−	12.6473i	0.793864	−	0.590968i
$459$			82.9941i			3.87383i
$460$	−11.7429	−	3.47232i	−0.547513	−	0.161898i
$461$		−	27.9277i		−	1.30072i	−0.759625	−	0.650361i	$-0.774618\pi$
$461$		−	27.9277i		−	1.30072i	0.759625	−	0.650361i	$-0.225382\pi$
$462$	−4.06181	−	5.45634i	−0.188973	−	0.253852i
$463$	16.2671	+	18.7733i	0.755998	+	0.872468i	0.995135	−	0.0985175i	$-0.0314100\pi$
$463$	16.2671	+	18.7733i	0.755998	+	0.872468i	−0.239137	+	0.970986i	$0.576865\pi$
$464$	2.64151	−	1.17231i	0.122629	−	0.0544229i
$465$	3.86872	+	26.9076i	0.179408	+	1.24781i
$466$	1.88328	−	8.54703i	0.0872412	−	0.395933i
$467$	0.901683	+	0.411785i	0.0417249	+	0.0190551i	0.436168	−	0.899865i	$-0.356335\pi$
$467$	0.901683	+	0.411785i	0.0417249	+	0.0190551i	−0.394443	+	0.918920i	$0.629063\pi$
$468$	−43.3893	−	0.232396i	−2.00567	−	0.0107425i
$469$	−0.792208	−	0.113902i	−0.0365808	−	0.00525952i
$470$	−5.87032	−	5.90184i	−0.270778	−	0.272232i
$471$	−26.1292	−	7.67223i	−1.20397	−	0.353518i
$472$	−20.4036	+	20.0783i	−0.939151	+	0.924181i
$473$	−2.36447	−	5.17747i	−0.108718	−	0.238060i
$474$	13.2366	+	61.6417i	0.607975	+	2.83130i
$475$	−6.57952	−	5.70119i	−0.301889	−	0.261589i
$476$	−4.37200	−	15.1902i	−0.200390	−	0.696241i
$477$	−54.4188	+	84.6773i	−2.49167	+	3.87711i
$478$	20.1500	−	10.9328i	0.921640	−	0.500054i
$479$	−23.3630	+	15.0145i	−1.06748	+	0.686028i	−0.951632	−	0.307239i	$-0.900595\pi$
$479$	−23.3630	+	15.0145i	−1.06748	+	0.686028i	−0.115848	+	0.993267i	$0.536959\pi$
$480$	18.1148	+	13.9429i	0.826822	+	0.636403i
$481$	−31.0362	+	9.11306i	−1.41513	+	0.415520i
$482$	−6.62914	−	17.9198i	−0.301949	−	0.816226i
$483$	18.1918	−	2.67969i	0.827754	−	0.121930i
$484$	−14.3137	+	12.2693i	−0.650625	+	0.557697i
$485$	−3.63425	−	12.3771i	−0.165023	−	0.562016i
$486$	28.0509	+	15.4146i	1.27242	+	0.699222i
$487$	32.6560	−	20.9868i	1.47979	−	0.951001i	0.482616	−	0.875832i	$-0.339687\pi$
$487$	32.6560	−	20.9868i	1.47979	−	0.951001i	0.997171	−	0.0751687i	$-0.0239495\pi$
$488$	5.48939	+	2.09782i	0.248493	+	0.0949641i
$489$	4.88351	+	3.13844i	0.220840	+	0.141925i
$490$	−0.739302	+	9.96181i	−0.0333983	+	0.450029i
$491$	17.5406	+	15.1990i	0.791598	+	0.685923i	0.953670	−	0.300856i	$-0.0972723\pi$
$491$	17.5406	+	15.1990i	0.791598	+	0.685923i	−0.162072	+	0.986779i	$0.551818\pi$
$492$	26.3199	−	16.7162i	1.18659	−	0.753626i
$493$	−4.28793	+	1.95823i	−0.193118	+	0.0881943i
$494$	−0.775428	−	11.2658i	−0.0348882	−	0.506873i
$495$	−10.7856	−	3.16695i	−0.484778	−	0.142344i
$496$	−25.8982	+	7.30399i	−1.16286	+	0.327959i
$497$	1.29927	−	9.03663i	0.0582803	−	0.405348i
$498$	−37.4863	−	14.0961i	−1.67980	−	0.631662i
$499$	34.2078	+	15.6222i	1.53135	+	0.699345i	0.989950	−	0.141419i	$-0.0451666\pi$
$499$	34.2078	+	15.6222i	1.53135	+	0.699345i	0.541402	+	0.840764i	$0.317894\pi$
$500$	−2.92818	−	21.1703i	−0.130952	−	0.946764i
$501$	3.57476	−	0.513973i	0.159708	−	0.0229626i
$502$	−14.7566	+	19.6029i	−0.658620	+	0.874920i
$503$	−7.25671	−	8.37468i	−0.323560	−	0.373409i	0.570544	−	0.821267i	$-0.306732\pi$
$503$	−7.25671	−	8.37468i	−0.323560	−	0.373409i	−0.894105	+	0.447858i	$0.852187\pi$
$504$	−23.4561	−	5.30028i	−1.04482	−	0.236093i
$505$	9.94804			0.442682
$506$	1.81499	+	8.31243i	0.0806862	+	0.369533i
$507$		−	10.9066i		−	0.484378i
$508$	4.44941	−	6.84256i	0.197411	−	0.303589i
$509$	13.6201	−	11.8019i	0.603702	−	0.523111i	−0.298508	−	0.954407i	$-0.596489\pi$
$509$	13.6201	−	11.8019i	0.603702	−	0.523111i	0.902210	+	0.431296i	$0.141944\pi$
$510$	−29.7895	−	22.4249i	−1.31910	−	0.992991i
$511$	1.95748	+	13.6146i	0.0865940	+	0.602275i
$512$	−11.3196	+	19.5925i	−0.500262	+	0.865874i
$513$	−13.6507	+	29.8909i	−0.602693	+	1.31971i
$514$	−10.6000	−	3.98595i	−0.467545	−	0.175813i
$515$	10.8065	+	1.55374i	0.476192	+	0.0684660i
$516$	−26.0628	−	12.0716i	−1.14735	−	0.531424i
$517$	−1.62947	+	5.54946i	−0.0716639	+	0.244065i
$518$	−17.8847	+	1.23101i	−0.785810	+	0.0540875i
$519$	−1.49141	−	3.26574i	−0.0654658	−	0.143350i
$520$	6.76045	−	8.88127i	0.296465	−	0.389470i
$521$	−13.9273	+	16.0730i	−0.610168	+	0.704172i	−0.973809	−	0.227368i	$-0.926988\pi$
$521$	−13.9273	+	16.0730i	−0.610168	+	0.704172i	0.363641	+	0.931539i	$0.381534\pi$
$522$	−0.530760	+	7.15178i	−0.0232307	+	0.313025i
$523$	7.44352	−	11.5823i	0.325482	−	0.506460i	−0.639495	−	0.768796i	$-0.720856\pi$
$523$	7.44352	−	11.5823i	0.325482	−	0.506460i	0.964977	+	0.262335i	$0.0844927\pi$
$524$	6.05207	−	6.90934i	0.264386	−	0.301836i
$525$	6.98590	+	10.8703i	0.304890	+	0.474418i
$526$	−2.32058	+	4.22290i	−0.101182	+	0.184127i
$527$	42.1134	−	12.3656i	1.83449	−	0.538654i
$528$	2.42864	−	15.6961i	0.105693	−	0.683085i
$529$	−22.1125	−	6.32737i	−0.961415	−	0.275103i
$530$	−8.98357	−	24.2843i	−0.390221	−	1.05484i
$531$	−20.0130	−	68.1580i	−0.868490	−	2.95780i
$532$	0.923844	−	6.18994i	0.0400537	−	0.268368i
$533$	−8.23079	−	12.8074i	−0.356515	−	0.554748i
$534$	−5.68755	−	10.4826i	−0.246125	−	0.453627i
$535$	4.66799	+	2.99993i	0.201815	+	0.129698i
$536$	−1.10787	−	1.50500i	−0.0478528	−	0.0650060i
$537$	−9.52403	+	10.9913i	−0.410992	+	0.474310i
$538$	−6.16010	−	28.6872i	−0.265581	−	1.23679i
$539$	6.31339	−	2.88323i	0.271937	−	0.124189i
$540$	−29.6162	+	13.3340i	−1.27448	+	0.573806i
$541$	4.65337	−	15.8479i	0.200064	−	0.681356i	−0.796944	−	0.604054i	$-0.793551\pi$
$541$	4.65337	−	15.8479i	0.200064	−	0.681356i	0.997008	−	0.0773020i	$-0.0246306\pi$
$542$	−7.42012	+	7.38048i	−0.318721	+	0.317019i
$543$	6.89630	−	47.9648i	0.295949	−	2.05837i
$544$	18.1204	−	32.1539i	0.776907	−	1.37859i
$545$	7.81688	−	17.1166i	0.334839	−	0.733194i
$546$	−3.60654	+	16.3678i	−0.154346	+	0.700478i
$547$	−9.96407	+	1.43262i	−0.426033	+	0.0612543i	−0.351997	−	0.936001i	$-0.614497\pi$
$547$	−9.96407	+	1.43262i	−0.426033	+	0.0612543i	−0.0740363	+	0.997256i	$0.523588\pi$
$548$	−3.68292	+	12.2988i	−0.157327	+	0.525379i
$549$	−11.0209	+	9.54968i	−0.470361	+	0.407570i
$550$	−4.79591	+	3.57017i	−0.204498	+	0.152233i
$551$	−1.86641			−0.0795117
$552$	34.2533	+	25.8875i	1.45792	+	1.10184i
$553$	17.0611			0.725512
$554$	−6.02400	+	4.48439i	−0.255935	+	0.190523i
$555$	−31.9591	+	27.6928i	−1.35659	+	1.17549i
$556$	−2.70298	−	0.809417i	−0.114632	−	0.0343269i
$557$	5.15259	−	0.740831i	0.218322	−	0.0313900i	−0.0322856	−	0.999479i	$-0.510279\pi$
$557$	5.15259	−	0.740831i	0.218322	−	0.0313900i	0.250608	+	0.968089i	$0.419370\pi$
$558$	14.3684	−	65.2092i	0.608263	−	2.76053i
$559$	−5.82599	+	12.7571i	−0.246413	+	0.539570i
$560$	4.71816	−	4.00063i	0.199379	−	0.169058i
$561$	−3.68696	+	25.6434i	−0.155664	+	1.08267i
$562$	26.4346	−	26.2934i	1.11508	−	1.10912i
$563$	−13.0297	+	44.3752i	−0.549138	+	1.87019i	−0.0595723	+	0.998224i	$0.518974\pi$
$563$	−13.0297	+	44.3752i	−0.549138	+	1.87019i	−0.489565	+	0.871967i	$0.662845\pi$
$564$	11.9822	+	26.6136i	0.504540	+	1.12063i
$565$	−13.5228	+	6.17568i	−0.568910	+	0.259813i
$566$	−5.88735	−	27.4170i	−0.247464	−	1.15242i
$567$	15.2358	−	17.5830i	0.639843	−	0.738418i
$568$	17.1673	−	12.6374i	0.720326	−	0.530253i
$569$	−36.7614	−	23.6251i	−1.54112	−	0.990415i	−0.987496	−	0.157646i	$-0.949610\pi$
$569$	−36.7614	−	23.6251i	−1.54112	−	0.990415i	−0.553620	−	0.832769i	$-0.686754\pi$
$570$	−7.04049	−	12.9762i	−0.294894	−	0.543513i
$571$	−20.7129	−	32.2299i	−0.866807	−	1.34878i	−0.936302	−	0.351196i	$-0.885775\pi$
$571$	−20.7129	−	32.2299i	−0.866807	−	1.34878i	0.0694949	−	0.997582i	$-0.477861\pi$
$572$	−7.67021	−	1.14477i	−0.320708	−	0.0478654i
$573$	−1.16169	−	3.95635i	−0.0485302	−	0.165279i
$574$	−2.92743	−	7.91339i	−0.122188	−	0.330298i
$575$	−2.35534	−	15.9898i	−0.0982246	−	0.666823i
$576$	−29.5941	−	47.7180i	−1.23309	−	1.98825i
$577$	−4.69485	+	1.37853i	−0.195449	+	0.0573891i	−0.377992	−	0.925809i	$-0.623385\pi$
$577$	−4.69485	+	1.37853i	−0.195449	+	0.0573891i	0.182543	+	0.983198i	$0.441567\pi$
$578$	−17.4150	+	31.6910i	−0.724366	+	1.31817i
$579$	19.2434	+	29.9433i	0.799728	+	1.24440i
$580$	−1.38770	−	1.21552i	−0.0576211	−	0.0504718i
$581$	−5.85927	+	9.11721i	−0.243084	+	0.378246i
$582$	−3.34741	+	45.1050i	−0.138754	+	1.86966i
$583$	−11.7813	+	13.5963i	−0.487930	+	0.563101i
$584$	−19.4526	+	25.5551i	−0.804955	+	1.05748i
$585$	11.5059	+	25.1945i	0.475712	+	1.04166i
$586$	−6.93774	+	0.477526i	−0.286595	+	0.0197264i
$587$	10.5434	−	35.9075i	0.435173	−	1.48206i	−0.391921	−	0.919999i	$-0.628189\pi$
$587$	10.5434	−	35.9075i	0.435173	−	1.48206i	0.827094	−	0.562064i	$-0.189992\pi$
$588$	14.7201	−	31.7809i	0.607046	−	1.31062i
$589$	17.2013	+	2.47317i	0.708766	+	0.101905i
$590$	17.1038	+	6.43162i	0.704152	+	0.264785i
$591$	13.0948	−	28.6736i	0.538648	−	1.17947i
$592$	−31.3395	−	27.7491i	−1.28804	−	1.14048i
$593$	1.93674	+	13.4703i	0.0795325	+	0.553160i	0.990161	+	0.139934i	$0.0446891\pi$
$593$	1.93674	+	13.4703i	0.0795325	+	0.553160i	−0.910628	+	0.413226i	$0.864402\pi$
$594$	18.0296	+	13.5723i	0.739763	+	0.556877i
$595$	−7.62561	+	6.60763i	−0.312619	+	0.270886i
$596$	−17.6844	−	11.4994i	−0.724383	−	0.471034i
$597$		−	22.7028i		−	0.929162i
$598$	12.5504	−	16.7924i	0.513223	−	0.686692i
$599$	20.8161			0.850522			0.425261	−	0.905071i	$-0.360182\pi$
$599$	20.8161			0.850522			0.425261	+	0.905071i	$0.360182\pi$
$600$	−6.65001	+	29.4293i	−0.271485	+	1.20144i
$601$	19.5278	+	22.5362i	0.796554	+	0.919272i	0.998187	−	0.0601892i	$-0.0191704\pi$
$601$	19.5278	+	22.5362i	0.796554	+	0.919272i	−0.201633	+	0.979461i	$0.564625\pi$
$602$	−4.67463	+	6.20983i	−0.190524	+	0.253094i
$603$	4.59022	−	0.659975i	0.186928	−	0.0268762i
$604$	26.3025	−	3.63805i	1.07024	−	0.148030i
$605$	10.9468	+	4.99925i	0.445052	+	0.203248i
$606$	−32.6481	−	12.2768i	−1.32624	−	0.498711i
$607$	2.71291	−	18.8687i	0.110114	−	0.765856i	−0.857693	−	0.514162i	$-0.828103\pi$
$607$	2.71291	−	18.8687i	0.110114	−	0.765856i	0.967807	−	0.251695i	$-0.0809878\pi$
$608$	11.8148	−	8.60003i	0.479154	−	0.348777i
$609$	2.65794	+	0.780443i	0.107705	+	0.0316251i
$610$	−0.257590	−	3.74240i	−0.0104295	−	0.151525i
$611$	12.9631	−	5.92007i	0.524433	−	0.239500i
$612$	49.1029	+	77.3129i	1.98487	+	3.12519i
$613$	−3.87941	−	3.36153i	−0.156688	−	0.135771i	0.572989	−	0.819563i	$-0.305784\pi$
$613$	−3.87941	−	3.36153i	−0.156688	−	0.135771i	−0.729677	+	0.683792i	$0.760329\pi$
$614$	−2.33183	+	31.4205i	−0.0941049	+	1.26803i
$615$	−16.7436	−	10.7605i	−0.675168	−	0.433904i
$616$	−4.01487	−	1.53432i	−0.161764	−	0.0618197i
$617$	31.1484	−	20.0179i	1.25399	−	0.805888i	0.266538	−	0.963825i	$-0.414120\pi$
$617$	31.1484	−	20.0179i	1.25399	−	0.805888i	0.987449	+	0.157936i	$0.0504840\pi$
$618$	−33.5480	−	18.4354i	−1.34950	−	0.741581i
$619$	−6.84829	−	23.3231i	−0.275256	−	0.937436i	−0.974844	−	0.222889i	$-0.928451\pi$
$619$	−6.84829	−	23.3231i	−0.275256	−	0.937436i	0.699588	−	0.714547i	$-0.253367\pi$
$620$	11.1787	+	13.0414i	0.448947	+	0.523754i
$621$	−55.4038	+	25.5335i	−2.22328	+	1.02463i
$622$	14.3781	+	38.8668i	0.576511	+	1.55842i
$623$	−3.09661	+	0.909247i	−0.124063	+	0.0364282i
$624$	−33.1472	+	20.8041i	−1.32695	+	0.832831i
$625$	2.69871	−	1.73435i	0.107948	−	0.0693742i
$626$	11.7868	−	6.39518i	0.471097	−	0.255603i
$627$	−5.54566	+	8.62921i	−0.221472	+	0.344618i
$628$	−16.5358	+	4.75931i	−0.659852	+	0.189917i
$629$	51.6007	+	44.7123i	2.05746	+	1.78280i
$630$	3.22280	+	15.0084i	0.128399	+	0.597947i
$631$	12.3165	+	26.9693i	0.490311	+	1.07363i	0.979498	+	0.201453i	$0.0645662\pi$
$631$	12.3165	+	26.9693i	0.490311	+	1.07363i	−0.489187	+	0.872179i	$0.662707\pi$
$632$	27.9418	+	28.3944i	1.11147	+	1.12947i
$633$	44.3227	+	13.0143i	1.76167	+	0.517273i
$634$	−20.4011	−	20.5106i	−0.810231	−	0.814582i
$635$	−5.15708	−	0.741476i	−0.204652	−	0.0294246i
$636$	−0.486247	+	90.7843i	−0.0192810	+	3.59983i
$637$	−15.5560	−	7.10420i	−0.616352	−	0.281478i
$638$	−0.275813	+	1.25174i	−0.0109195	+	0.0495569i
$639$	7.52825	+	52.3601i	0.297813	+	2.07133i
$640$	14.3853	+	1.30030i	0.568630	+	0.0513990i
$641$	−4.86597	−	5.61562i	−0.192194	−	0.221804i	0.651471	−	0.758673i	$-0.274152\pi$
$641$	−4.86597	−	5.61562i	−0.192194	−	0.221804i	−0.843665	+	0.536870i	$0.819607\pi$
$642$	−11.6175	−	15.6061i	−0.458506	−	0.615924i
$643$		−	20.0203i		−	0.789523i	−0.918784	−	0.394761i	$-0.870827\pi$
$643$		−	20.0203i		−	0.789523i	0.918784	−	0.394761i	$-0.129173\pi$
$644$	8.79534	−	7.59192i	0.346585	−	0.299164i
$645$			18.3349i			0.721934i
$646$	−19.1202	+	14.2334i	−0.752272	+	0.560007i
$647$	−14.9810	−	17.2889i	−0.588962	−	0.679699i	0.380545	−	0.924763i	$-0.375737\pi$
$647$	−14.9810	−	17.2889i	−0.588962	−	0.679699i	−0.969507	+	0.245064i	$0.921191\pi$
$648$	54.2154	−	3.44001i	2.12978	−	0.135136i
$649$	−1.80687	−	12.5671i	−0.0709260	−	0.493301i
$650$	14.3867	+	3.17000i	0.564292	+	0.124338i
$651$	−23.4621	−	10.7148i	−0.919552	−	0.419945i
$652$	3.66794	+	0.0196457i	0.143647	+	0.000769385i
$653$	14.5511	+	2.09213i	0.569428	+	0.0818714i	0.421014	−	0.907054i	$-0.361674\pi$
$653$	14.5511	+	2.09213i	0.569428	+	0.0818714i	0.148414	+	0.988925i	$0.452583\pi$
$654$	−46.7774	+	46.5276i	−1.82914	+	1.81937i
$655$	−5.62573	−	1.65186i	−0.219815	−	0.0645436i
$656$	8.37569	−	17.8322i	0.327016	−	0.696230i
$657$	−33.1074	−	72.4950i	−1.29164	−	2.82830i
$658$	7.72214	−	1.65820i	0.301040	−	0.0646435i
$659$	11.0822	+	9.60281i	0.431702	+	0.374072i	0.843434	−	0.537233i	$-0.180530\pi$
$659$	11.0822	+	9.60281i	0.431702	+	0.374072i	−0.411732	+	0.911305i	$0.635076\pi$
$660$	−9.74314	+	2.80425i	−0.379251	+	0.109155i
$661$	13.3895	−	20.8344i	0.520790	−	0.810365i	−0.476853	−	0.878983i	$-0.658223\pi$
$661$	13.3895	−	20.8344i	0.520790	−	0.810365i	0.997643	+	0.0686180i	$0.0218590\pi$
$662$	−3.14484	−	5.79619i	−0.122228	−	0.225275i
$663$	53.7009	−	34.5115i	2.08557	−	1.34032i
$664$	−24.7696	+	5.18024i	−0.961247	+	0.201032i
$665$	−3.83322	+	1.12554i	−0.148646	+	0.0436464i
$666$	97.4208	−	36.0392i	3.77498	−	1.39649i
$667$	−2.62644	−	2.26000i	−0.101696	−	0.0875077i
$668$	1.73259	−	1.48512i	0.0670359	−	0.0574612i
$669$	9.16530	+	31.2141i	0.354351	+	1.20681i
$670$	−0.574511	+	1.04547i	−0.0221953	+	0.0403901i
$671$	−2.19265	+	1.40913i	−0.0846463	+	0.0543989i
$672$	−20.4215	+	7.30688i	−0.787777	+	0.281869i
$673$	−39.4448	−	25.3496i	−1.52048	−	0.977156i	−0.991725	−	0.128384i	$-0.959021\pi$
$673$	−39.4448	−	25.3496i	−1.52048	−	0.977156i	−0.528759	−	0.848772i	$-0.677343\pi$
$674$	22.3808	+	1.66096i	0.862076	+	0.0639778i
$675$	−32.3979	−	28.0730i	−1.24700	−	1.08053i
$676$	−3.69470	−	5.81734i	−0.142104	−	0.223744i
$677$	−12.0146	+	5.48690i	−0.461760	+	0.210879i	−0.632691	−	0.774404i	$-0.718050\pi$
$677$	−12.0146	+	5.48690i	−0.461760	+	0.210879i	0.170931	+	0.985283i	$0.445322\pi$
$678$	52.0015	−	3.57928i	1.99711	−	0.137461i
$679$	11.7436	+	3.44824i	0.450680	+	0.132331i
$680$	−23.4858	−	1.86950i	−0.900638	−	0.0716920i
$681$	2.24291	−	15.5998i	0.0859485	−	0.597785i
$682$	4.20063	−	11.1709i	0.160851	−	0.427755i
$683$	−24.1909	−	11.0476i	−0.925638	−	0.422725i	−0.105194	−	0.994452i	$-0.533546\pi$
$683$	−24.1909	−	11.0476i	−0.925638	−	0.422725i	−0.820444	+	0.571727i	$0.806274\pi$
$684$	4.96845	+	35.9211i	0.189974	+	1.37348i
$685$	8.11185	−	1.16631i	0.309938	−	0.0445623i
$686$	−17.1528	−	12.9122i	−0.654896	−	0.492991i
$687$	31.0433	+	35.8258i	1.18437	+	1.36684i
$688$	−17.9908	+	2.39027i	−0.685891	+	0.0911283i
$689$	44.3281			1.68877
$690$	5.80515	−	26.7855i	0.220998	−	1.01971i
$691$		−	17.4270i		−	0.662956i	−0.943463	−	0.331478i	$-0.892453\pi$
$691$		−	17.4270i		−	0.662956i	0.943463	−	0.331478i	$-0.107547\pi$
$692$	−1.90179	−	1.23665i	−0.0722952	−	0.0470103i
$693$	8.06057	−	6.98452i	0.306196	−	0.265320i
$694$	16.1261	−	21.4221i	0.612137	−	0.813171i
$695$	0.256326	+	1.78279i	0.00972301	+	0.0676250i
$696$	3.05417	+	5.70173i	0.115768	+	0.216124i
$697$	−13.3495	+	29.2314i	−0.505649	+	1.10722i
$698$	−5.53157	+	14.7103i	−0.209373	+	0.556793i
$699$	19.3891	+	2.78774i	0.733364	+	0.105442i
$700$	7.40854	+	3.43144i	0.280017	+	0.129696i
$701$	−3.68057	+	12.5349i	−0.139013	+	0.473436i	−0.999341	−	0.0363062i	$-0.988441\pi$
$701$	−3.68057	+	12.5349i	−0.139013	+	0.473436i	0.860327	+	0.509742i	$0.170259\pi$
$702$	−3.81825	−	55.4734i	−0.144111	−	2.09371i
$703$	11.2302	+	24.5906i	0.423553	+	0.927453i
$704$	−4.02181	−	9.19470i	−0.151578	−	0.346538i
$705$	12.2007	−	14.0803i	0.459504	−	0.530295i
$706$	18.6652	+	1.38521i	0.702473	+	0.0521331i
$707$	−5.10305	+	7.94050i	−0.191920	+	0.298633i
$708$	−48.1952	−	42.2154i	−1.81128	−	1.58655i
$709$	−21.5753	−	33.5718i	−0.810276	−	1.26081i	−0.962179	−	0.272419i	$-0.912176\pi$
$709$	−21.5753	−	33.5718i	−0.810276	−	1.26081i	0.151903	−	0.988395i	$-0.451460\pi$
$710$	−11.9256	−	6.55338i	−0.447559	−	0.245944i
$711$	−94.8513	+	27.8509i	−3.55720	+	1.04449i
$712$	−6.58471	−	3.66450i	−0.246772	−	0.137333i
$713$	21.2112	+	24.3090i	0.794366	+	0.910380i
$714$	33.1806	−	12.2746i	1.24175	−	0.459366i
$715$	1.39470	+	4.74990i	0.0521587	+	0.177636i
$716$	−1.35651	+	9.08889i	−0.0506952	+	0.339668i
$717$	27.7401	+	43.1644i	1.03597	+	1.61200i
$718$	−6.66675	+	3.61718i	−0.248801	+	0.134992i
$719$	−0.520895	−	0.334759i	−0.0194261	−	0.0124844i	0.530892	−	0.847440i	$-0.321857\pi$
$719$	−0.520895	−	0.334759i	−0.0194261	−	0.0124844i	−0.550318	+	0.834955i	$0.685493\pi$
$720$	−19.6999	+	29.9435i	−0.734173	+	1.11593i
$721$	−6.78361	+	7.82870i	−0.252635	+	0.291556i
$722$	17.0439	−	3.65989i	0.634307	−	0.136207i
$723$	38.8994	−	17.7648i	1.44669	−	0.660679i
$724$	−12.5702	−	27.9196i	−0.467167	−	1.03763i
$725$	0.685979	−	2.33623i	0.0254766	−	0.0867654i
$726$	−29.7565	−	29.9163i	−1.10437	−	1.11030i
$727$	−5.91851	+	41.1642i	−0.219505	+	1.52669i	0.520364	+	0.853944i	$0.325796\pi$
$727$	−5.91851	+	41.1642i	−0.219505	+	1.52669i	−0.739870	+	0.672750i	$0.765113\pi$
$728$	3.62110	+	9.95201i	0.134207	+	0.368846i
$729$	−5.82318	+	12.7510i	−0.215673	+	0.472259i
$730$	20.0210	+	4.41148i	0.741009	+	0.163276i
$731$	29.3019	−	4.21297i	1.08377	−	0.155822i
$732$	−3.77310	+	12.5999i	−0.139458	+	0.465707i
$733$	−33.1407	+	28.7165i	−1.22408	+	1.06067i	−0.227868	+	0.973692i	$0.573175\pi$
$733$	−33.1407	+	28.7165i	−1.22408	+	1.06067i	−0.996210	+	0.0869778i	$0.972279\pi$
$734$	−10.2680	−	13.7933i	−0.378999	−	0.509120i
$735$	−22.3575			−0.824667
$736$	27.0396	+	2.20423i	0.996694	+	0.0812491i
$737$	0.828857			0.0305314
$738$	29.1930	+	39.2158i	1.07461	+	1.44355i
$739$	−16.7788	+	14.5389i	−0.617219	+	0.534823i	−0.906383	−	0.422456i	$-0.861168\pi$
$739$	−16.7788	+	14.5389i	−0.617219	+	0.534823i	0.289164	+	0.957279i	$0.406623\pi$
$740$	−7.66517	+	25.5972i	−0.281777	+	0.940972i
$741$	25.0171	−	3.59692i	0.919027	−	0.132136i
$742$	23.9920	+	5.28647i	0.880773	+	0.194072i
$743$	−19.4443	+	42.5771i	−0.713343	+	1.56200i	0.109662	+	0.993969i	$0.465023\pi$
$743$	−19.4443	+	42.5771i	−0.713343	+	1.56200i	−0.823005	+	0.568034i	$0.807704\pi$
$744$	−20.5926	−	56.5956i	−0.754963	−	2.07489i
$745$	−1.91633	+	13.3284i	−0.0702089	+	0.488313i
$746$	7.12253	+	7.16078i	0.260774	+	0.262175i
$747$	17.6916	−	60.2520i	0.647301	−	2.20450i
$748$	6.72039	+	14.9267i	0.245722	+	0.545773i
$749$	−4.78908	+	2.18710i	−0.174989	+	0.0799149i
$750$	46.7676	−	10.0426i	1.70771	−	0.366703i
$751$	18.6950	−	21.5752i	0.682190	−	0.787289i	−0.304042	−	0.952659i	$-0.598336\pi$
$751$	18.6950	−	21.5752i	0.682190	−	0.787289i	0.986232	+	0.165369i	$0.0528816\pi$
$752$	15.4066	+	10.1361i	0.561822	+	0.369624i
$753$	−46.1985	−	29.6900i	−1.68357	−	1.08196i
$754$	2.77597	−	1.50616i	0.101095	−	0.0548510i
$755$	−9.16375	−	14.2591i	−0.333503	−	0.518941i
$756$	4.54906	−	30.4796i	0.165448	−	1.10853i
$757$	5.03670	+	17.1534i	0.183062	+	0.623452i	0.998974	+	0.0452768i	$0.0144170\pi$
$757$	5.03670	+	17.1534i	0.183062	+	0.623452i	−0.815912	+	0.578176i	$0.803765\pi$
$758$	−16.1327	+	5.96800i	−0.585964	+	0.216768i
$759$	−18.2529	+	5.42803i	−0.662539	+	0.197025i
$760$	−8.15106	−	4.53620i	−0.295670	−	0.164545i
$761$	−19.9172	+	5.84822i	−0.721999	+	0.211998i	−0.622031	−	0.782993i	$-0.713692\pi$
$761$	−19.9172	+	5.84822i	−0.721999	+	0.211998i	−0.0999678	+	0.994991i	$0.531874\pi$
$762$	16.0098	+	8.79774i	0.579973	+	0.318709i
$763$	9.65259	+	15.0197i	0.349447	+	0.543751i
$764$	−1.95987	−	1.71670i	−0.0709056	−	0.0621081i
$765$	31.6082	−	49.1833i	1.14280	−	1.77823i
$766$	−40.7797	−	3.02641i	−1.47343	−	0.109349i
$767$	−20.4863	+	23.6424i	−0.739716	+	0.853678i
$768$	−45.6060	−	22.0203i	−1.64567	−	0.794588i
$769$	−11.8143	−	25.8697i	−0.426034	−	0.932884i	−0.993954	−	0.109800i	$-0.964979\pi$
$769$	−11.8143	−	25.8697i	−0.426034	−	0.932884i	0.567920	−	0.823084i	$-0.307748\pi$
$770$	0.188398	+	2.73715i	0.00678941	+	0.0986400i
$771$	7.14090	−	24.3197i	0.257173	−	0.875852i
$772$	20.4076	+	9.45226i	0.734485	+	0.340194i
$773$	−7.79844	−	1.12125i	−0.280490	−	0.0403284i	0.000633926	−	1.00000i	$-0.499798\pi$
$773$	−7.79844	−	1.12125i	−0.280490	−	0.0403284i	−0.281124	+	0.959671i	$0.590707\pi$
$774$	15.8516	−	42.1546i	0.569773	−	1.51521i
$775$	−9.41787	+	20.6223i	−0.338300	+	0.740773i
$776$	13.4943	+	25.1920i	0.484417	+	0.904342i
$777$	−5.71019	−	39.7153i	−0.204852	−	1.42478i
$778$	14.3347	−	19.0424i	0.513923	−	0.682702i
$779$	−9.61583	+	8.33216i	−0.344523	+	0.298531i
$780$	20.9431	+	13.6183i	0.749882	+	0.487615i
$781$			9.45468i			0.338315i
$782$	−44.1412	−	3.12274i	−1.57849	−	0.111669i
$783$	−9.19030			−0.328435
$784$	−2.91469	−	21.9379i	−0.104096	−	0.783495i
$785$	7.19298	+	8.30114i	0.256728	+	0.296280i
$786$	16.4243	+	12.3639i	0.585836	+	0.441004i
$787$	−35.8917	+	5.16044i	−1.27940	+	0.183950i	−0.748301	−	0.663360i	$-0.769130\pi$
$787$	−35.8917	+	5.16044i	−1.27940	+	0.183950i	−0.531099	+	0.847310i	$0.678221\pi$
$788$	−2.72895	−	19.7299i	−0.0972149	−	0.702848i
$789$	−9.81001	−	4.48008i	−0.349246	−	0.159495i
$790$	8.95049	−	23.8023i	0.318444	−	0.846849i
$791$	2.00741	−	13.9618i	0.0713753	−	0.496426i
$792$	24.8254	+	1.97613i	0.882131	+	0.0702188i
$793$	6.16198	+	1.80932i	0.218818	+	0.0642509i
$794$	26.2918	−	1.80967i	0.933062	−	0.0642229i
$795$	52.7151	−	24.0742i	1.86961	−	0.853823i
$796$	−7.69077	−	12.1092i	−0.272592	−	0.429199i
$797$	−0.279969	−	0.242594i	−0.00991701	−	0.00859314i	0.649888	−	0.760030i	$-0.274816\pi$
$797$	−0.279969	−	0.242594i	−0.00991701	−	0.00859314i	−0.659805	+	0.751437i	$0.729361\pi$
$798$	13.9691	+	1.03670i	0.494502	+	0.0366988i
$799$	−25.3059	−	16.2631i	−0.895260	−	0.575348i
$800$	6.42246	+	17.9497i	0.227068	+	0.634618i
$801$	15.7313	−	10.1099i	0.555840	−	0.357217i
$802$	0.764521	−	1.39124i	0.0269962	−	0.0491266i
$803$	−4.01312	−	13.6674i	−0.141620	−	0.482313i
$804$	3.17568	−	2.72210i	0.111998	−	0.0960010i
$805$	−6.75706	−	3.05771i	−0.238155	−	0.107770i
$806$	−27.5798	+	10.2027i	−0.971457	+	0.359374i
$807$	63.0101	−	18.5014i	2.21806	−	0.651281i
$808$	−21.5727	+	4.51165i	−0.758925	+	0.158719i
$809$	−34.5357	+	22.1947i	−1.21421	+	0.780325i	−0.981358	−	0.192188i	$-0.938442\pi$
$809$	−34.5357	+	22.1947i	−1.21421	+	0.780325i	−0.232851	+	0.972512i	$0.574805\pi$
$810$	−16.5376	−	30.4801i	−0.581071	−	1.07096i
$811$	−5.55524	+	8.64413i	−0.195071	+	0.303536i	−0.924986	−	0.380002i	$-0.875923\pi$
$811$	−5.55524	+	8.64413i	−0.195071	+	0.303536i	0.729915	+	0.683538i	$0.239560\pi$
$812$	1.68208	−	0.484131i	0.0590293	−	0.0169897i
$813$	−17.7025	−	15.3393i	−0.620855	−	0.537974i
$814$	18.1517	−	3.89778i	0.636217	−	0.136617i
$815$	−0.972662	−	2.12983i	−0.0340709	−	0.0746048i
$816$	74.7700	+	35.1191i	2.61747	+	1.22941i
$817$	11.2462	+	3.30218i	0.393455	+	0.115529i
$818$	−19.6780	+	19.5729i	−0.688025	+	0.684350i
$819$	−26.0124	−	3.74002i	−0.908947	−	0.130687i
$820$	−12.5759	−	0.0673574i	−0.439170	−	0.00235222i
$821$	40.5099	+	18.5002i	1.41380	+	0.645663i	0.968340	−	0.249637i	$-0.0803111\pi$
$821$	40.5099	+	18.5002i	1.41380	+	0.645663i	0.445465	+	0.895299i	$0.353038\pi$
$822$	−28.0613	−	6.18312i	−0.978751	−	0.215661i
$823$	−6.83072	−	47.5087i	−0.238104	−	1.65605i	−0.661381	−	0.750050i	$-0.730029\pi$
$823$	−6.83072	−	47.5087i	−0.238104	−	1.65605i	0.423277	−	0.906000i	$-0.360880\pi$
$824$	−24.1390	+	1.53164i	−0.840922	+	0.0533571i
$825$	−8.76314	−	10.1132i	−0.305093	−	0.352097i
$826$	−13.9074	+	10.3530i	−0.483902	+	0.360226i
$827$		−	9.79869i		−	0.340734i	−0.985381	−	0.170367i	$-0.945505\pi$
$827$		−	9.79869i		−	0.340734i	0.985381	−	0.170367i	$-0.0544953\pi$
$828$	−36.5046	+	56.5650i	−1.26862	+	1.96577i
$829$		−	40.1858i		−	1.39571i	−0.716239	−	0.697855i	$-0.754138\pi$
$829$		−	40.1858i		−	1.39571i	0.716239	−	0.697855i	$-0.245862\pi$
$830$	9.64576	+	12.9574i	0.334809	+	0.449758i
$831$	−11.0071	−	12.7029i	−0.381833	−	0.440659i
$832$	−10.6325	+	22.3254i	−0.368614	+	0.773994i
$833$	5.13728	+	35.7306i	0.177996	+	1.23799i
$834$	1.35890	−	6.16720i	0.0470549	−	0.213553i
$835$	−1.32504	−	0.605128i	−0.0458551	−	0.0209413i
$836$	−0.0347142	+	6.48129i	−0.00120062	+	0.224160i
$837$	84.7000	+	12.1780i	2.92766	+	0.420934i
$838$	39.2666	+	39.4775i	1.35644	+	1.36373i
$839$	19.6845	+	5.77989i	0.679584	+	0.199544i	0.603266	−	0.797540i	$-0.293866\pi$
$839$	19.6845	+	5.77989i	0.679584	+	0.199544i	0.0763176	+	0.997084i	$0.475684\pi$
$840$	9.71106	+	9.86836i	0.335063	+	0.340491i
$841$	11.8302	+	25.9045i	0.407938	+	0.893259i
$842$	3.79799	+	17.6870i	0.130887	+	0.609533i
$843$	63.0663	+	54.6472i	2.17212	+	1.88215i
$844$	28.0495	−	8.07315i	0.965505	−	0.277889i
$845$	−2.37833	+	3.70075i	−0.0818170	+	0.127310i
$846$	−40.2244	+	21.8245i	−1.38294	+	0.750343i
$847$	−9.60579	+	6.17326i	−0.330059	+	0.212116i
$848$	30.4947	+	48.5872i	1.04719	+	1.66849i
$849$	60.2202	−	17.6822i	2.06675	−	0.606853i
$850$	−10.7889	−	29.1645i	−0.370057	−	1.00033i
$851$	−13.9731	+	48.2027i	−0.478991	+	1.65237i
$852$	31.0507	+	36.2246i	1.06378	+	1.24103i
$853$	3.71638	+	12.6568i	0.127246	+	0.433361i	0.998330	−	0.0577739i	$-0.0184003\pi$
$853$	3.71638	+	12.6568i	0.127246	+	0.433361i	−0.871083	+	0.491135i	$0.836582\pi$
$854$	3.11931	+	1.71413i	0.106741	+	0.0586564i
$855$	19.4735	−	12.5148i	0.665979	−	0.427999i
$856$	−11.4833	−	4.38844i	−0.392490	−	0.149994i
$857$	−12.8944	−	8.28675i	−0.440466	−	0.283070i	0.301553	−	0.953449i	$-0.402495\pi$
$857$	−12.8944	−	8.28675i	−0.440466	−	0.283070i	−0.742019	+	0.670379i	$0.766131\pi$
$858$	1.28462	−	17.3097i	0.0438561	−	0.590944i
$859$	−16.1054	−	13.9554i	−0.549508	−	0.476152i	0.335297	−	0.942112i	$-0.391163\pi$
$859$	−16.1054	−	13.9554i	−0.549508	−	0.476152i	−0.884805	+	0.465961i	$0.845709\pi$
$860$	6.21110	+	9.77944i	0.211797	+	0.333476i
$861$	17.1780	−	7.84491i	0.585423	−	0.267354i
$862$	3.93962	+	57.2367i	0.134184	+	1.94949i
$863$	−7.12507	−	2.09211i	−0.242540	−	0.0712163i	0.158203	−	0.987407i	$-0.449430\pi$
$863$	−7.12507	−	2.09211i	−0.242540	−	0.0712163i	−0.400743	+	0.916190i	$0.631248\pi$
$864$	58.1767	−	42.3470i	1.97921	−	1.44067i
$865$	−0.206082	+	1.43334i	−0.00700701	+	0.0487349i
$866$	−20.7456	−	7.80107i	−0.704966	−	0.265091i
$867$	−73.6199	−	33.6211i	−2.50026	−	1.14183i
$868$	−16.1439	+	2.23296i	−0.547961	+	0.0757916i
$869$	−17.4889	+	2.51452i	−0.593269	+	0.0852992i
$870$	2.48321	−	3.29873i	0.0841886	−	0.111837i
$871$	−1.33741	−	1.54345i	−0.0453164	−	0.0522980i
$872$	−9.18848	+	40.6631i	−0.311161	+	1.37703i
$873$	−70.9178			−2.40020
$874$	−15.3841	−	8.38493i	−0.520376	−	0.283625i
$875$		−	12.9443i		−	0.437596i
$876$	−60.2619	−	39.1856i	−2.03606	−	1.32396i
$877$	−7.38619	+	6.40017i	−0.249414	+	0.216118i	−0.770591	−	0.637330i	$-0.780039\pi$
$877$	−7.38619	+	6.40017i	−0.249414	+	0.216118i	0.521177	+	0.853449i	$0.325493\pi$
$878$	14.1622	+	10.6610i	0.477949	+	0.359790i
$879$	−2.21506	−	15.4061i	−0.0747122	−	0.519635i
$880$	−4.24683	+	4.79631i	−0.143160	+	0.161684i
$881$	−0.181808	+	0.398104i	−0.00612526	+	0.0134125i	−0.912670	−	0.408697i	$-0.865983\pi$
$881$	−0.181808	+	0.398104i	−0.00612526	+	0.0134125i	0.906545	+	0.422110i	$0.138710\pi$
$882$	51.4031	+	19.3293i	1.73083	+	0.650853i
$883$	−36.3527	−	5.22674i	−1.22337	−	0.175894i	−0.499796	−	0.866143i	$-0.666592\pi$
$883$	−36.3527	−	5.22674i	−1.22337	−	0.175894i	−0.723571	+	0.690250i	$0.757501\pi$
$884$	16.9519	−	36.5994i	0.570154	−	1.23097i
$885$	−11.5223	+	39.2415i	−0.387319	+	1.31909i
$886$	−36.0606	+	2.48206i	−1.21148	+	0.0833863i
$887$	−11.6522	−	25.5147i	−0.391241	−	0.856699i	−0.998084	−	0.0618769i	$-0.980291\pi$
$887$	−11.6522	−	25.5147i	−0.391241	−	0.856699i	0.606842	−	0.794822i	$-0.292436\pi$
$888$	56.7454	−	74.5470i	1.90425	−	2.50163i
$889$	3.23727	−	3.73601i	0.108575	−	0.125302i
$890$	−0.356014	+	4.79715i	−0.0119336	+	0.160801i
$891$	−13.0263	+	20.2694i	−0.436398	+	0.679049i
$892$	15.4627	+	13.5441i	0.517728	+	0.453492i
$893$	−6.43917	−	10.0195i	−0.215479	−	0.335291i
$894$	22.7376	−	41.3769i	0.760458	−	1.38385i
$895$	5.62845	−	1.65266i	0.188138	−	0.0552424i
$896$	−8.41715	+	10.8153i	−0.281197	+	0.361314i
$897$	39.5600	+	25.2312i	1.32087	+	0.842444i
$898$	5.55792	+	15.0241i	0.185470	+	0.501361i
$899$	1.36930	+	4.66340i	0.0456687	+	0.155533i
$900$	−46.7894	−	6.98328i	−1.55965	−	0.232776i
$901$	−50.5870	−	78.7149i	−1.68530	−	2.62237i
$902$	4.16712	+	7.68034i	0.138750	+	0.255727i
$903$	−14.6348	−	9.40524i	−0.487017	−	0.312987i
$904$	26.5240	−	19.5251i	0.882176	−	0.649395i
$905$	−12.7994	+	14.7713i	−0.425467	+	0.491015i
$906$	12.4772	+	58.1053i	0.414526	+	1.93042i
$907$	6.75589	−	3.08531i	0.224326	−	0.102446i	−0.300082	−	0.953913i	$-0.597014\pi$
$907$	6.75589	−	3.08531i	0.224326	−	0.102446i	0.524408	+	0.851467i	$0.324287\pi$
$908$	−4.08825	−	9.08041i	−0.135673	−	0.301344i
$909$	15.4082	−	52.4756i	0.511058	−	1.74050i
$910$	4.79298	−	4.76738i	0.158886	−	0.158037i
$911$	−1.26496	+	8.79799i	−0.0419100	+	0.291490i	0.958078	+	0.286509i	$0.0924948\pi$
$911$	−1.26496	+	8.79799i	−0.0419100	+	0.291490i	−0.999988	+	0.00498157i	$0.998414\pi$
$912$	21.1526	+	24.9464i	0.700432	+	0.826057i
$913$	4.66245	−	10.2093i	0.154305	−	0.337880i
$914$	0.114025	−	0.517487i	0.00377160	−	0.0171170i
$915$	8.31047	−	1.19486i	0.274736	−	0.0395010i
$916$	28.6942	+	8.59257i	0.948082	+	0.283907i
$917$	4.20434	−	3.64309i	0.138840	−	0.120305i
$918$	−94.1486	+	70.0862i	−3.10737	+	2.31319i
$919$	−20.2650			−0.668482			−0.334241	−	0.942488i	$-0.608480\pi$
$919$	−20.2650			−0.668482			−0.334241	+	0.942488i	$0.608480\pi$
$920$	−5.97750	−	16.2534i	−0.197072	−	0.535859i
$921$	−70.5176			−2.32363
$922$	31.6812	−	23.5841i	1.04337	−	0.776702i
$923$	17.6060	−	15.2557i	0.579509	−	0.502147i
$924$	2.75960	−	9.21545i	0.0907842	−	0.303166i
$925$	−34.9082	+	5.01904i	−1.14777	+	0.165025i
$926$	−7.55930	+	34.3070i	−0.248414	+	1.12740i
$927$	24.9338	−	54.5974i	0.818934	−	1.79321i
$928$	3.56055	+	2.00656i	0.116881	+	0.0658684i
$929$	−1.58207	+	11.0036i	−0.0519062	+	0.361015i	0.947270	+	0.320436i	$0.103829\pi$
$929$	−1.58207	+	11.0036i	−0.0519062	+	0.361015i	−0.999176	+	0.0405793i	$0.987080\pi$
$930$	−27.2570	+	27.1114i	−0.893791	+	0.889017i
$931$	−4.02667	+	13.7136i	−0.131969	+	0.449444i
$932$	11.2861	−	5.08133i	0.369690	−	0.166444i
$933$	−84.3700	+	38.5305i	−2.76215	+	1.26143i
$934$	0.294316	+	1.37061i	0.00963032	+	0.0448478i
$935$	6.84294	−	7.89717i	0.223788	−	0.258265i
$936$	−36.3774	−	49.4171i	−1.18903	−	1.61525i
$937$	41.2376	+	26.5018i	1.34717	+	0.865775i	0.997470	−	0.0710859i	$-0.0226465\pi$
$937$	41.2376	+	26.5018i	1.34717	+	0.865775i	0.349702	+	0.936861i	$0.386283\pi$
$938$	−0.539787	−	0.994870i	−0.0176247	−	0.0324837i
$939$	16.2267	+	25.2492i	0.529537	+	0.823975i
$940$	1.73775	−	11.6432i	0.0566790	−	0.379761i
$941$	0.434657	+	1.48030i	0.0141694	+	0.0482566i	0.966274	−	0.257515i	$-0.0829037\pi$
$941$	0.434657	+	1.48030i	0.0141694	+	0.0482566i	−0.952105	+	0.305772i	$0.901086\pi$
$942$	−13.3620	−	36.1200i	−0.435357	−	1.17685i
$943$	−23.6208	+	0.0815186i	−0.769200	+	0.00265461i
$944$	−40.0072	−	6.19027i	−1.30212	−	0.201476i
$945$	−18.8750	+	5.54220i	−0.614003	+	0.180288i
$946$	3.87660	−	7.05448i	0.126039	−	0.229361i
$947$	10.0334	+	15.6123i	0.326042	+	0.507331i	0.965119	−	0.261812i	$-0.0843199\pi$
$947$	10.0334	+	15.6123i	0.326042	+	0.507331i	−0.639077	+	0.769143i	$0.720684\pi$
$948$	−58.7486	+	67.0703i	−1.90807	+	2.17834i
$949$	−18.9754	+	29.5263i	−0.615967	+	0.958463i
$950$	0.911219	−	12.2783i	0.0295638	−	0.398361i
$951$	42.4009	−	48.9332i	1.37494	−	1.58677i
$952$	13.5397	−	17.7873i	0.438825	−	0.576489i
$953$	−14.7372	−	32.2699i	−0.477383	−	1.04532i	−0.983175	−	0.182668i	$-0.941527\pi$
$953$	−14.7372	−	32.2699i	−0.477383	−	1.04532i	0.505792	−	0.862656i	$-0.331200\pi$
$954$	−142.013	+	9.77480i	−4.59785	+	0.316471i
$955$	−0.468559	+	1.59577i	−0.0151622	+	0.0516378i
$956$	29.4183	+	13.6258i	0.951456	+	0.440689i
$957$	−2.83961	−	0.408274i	−0.0917915	−	0.0131976i
$958$	−36.7618	−	13.8237i	−1.18772	−	0.446623i
$959$	−3.23019	+	7.07314i	−0.104308	+	0.228404i
$960$	−0.519425	+	32.3238i	−0.0167644	+	1.04325i
$961$	−2.02857	−	14.1090i	−0.0654377	−	0.455129i
$962$	−36.5471	−	27.5118i	−1.17833	−	0.887018i
$963$	23.0547	−	19.9770i	0.742926	−	0.643749i
$964$	14.7302	−	22.6529i	0.474427	−	0.729601i
$965$		−	14.3565i		−	0.462151i
$966$	18.4023	+	18.3738i	0.592083	+	0.591169i
$967$	2.54799			0.0819378			0.0409689	−	0.999160i	$-0.486956\pi$
$967$	2.54799			0.0819378			0.0409689	+	0.999160i	$0.486956\pi$
$968$	−26.0059	−	5.87644i	−0.835861	−	0.188876i
$969$	−34.9366	−	40.3189i	−1.12232	−	1.29523i
$970$	10.9716	−	14.5748i	0.352277	−	0.467969i
$971$	24.0654	−	3.46008i	0.772295	−	0.111039i	0.255109	−	0.966912i	$-0.417889\pi$
$971$	24.0654	−	3.46008i	0.772295	−	0.111039i	0.517186	+	0.855873i	$0.326980\pi$
$972$	6.20184	+	44.8383i	0.198924	+	1.43819i
$973$	−1.55451	−	0.709919i	−0.0498352	−	0.0227590i
$974$	51.3845	+	19.3223i	1.64647	+	0.619128i
$975$	−4.69242	+	32.6365i	−0.150278	+	1.04521i
$976$	2.25586	+	7.99872i	0.0722082	+	0.256033i
$977$	22.1551	+	6.50533i	0.708805	+	0.208124i	0.616212	−	0.787580i	$-0.288666\pi$
$977$	22.1551	+	6.50533i	0.708805	+	0.208124i	0.0925927	+	0.995704i	$0.470485\pi$
$978$	0.563732	+	8.19018i	0.0180262	+	0.261893i
$979$	3.04024	−	1.38843i	0.0971664	−	0.0443744i
$980$	−11.9250	+	7.57380i	−0.380930	+	0.241936i
$981$	−78.1821	−	67.7452i	−2.49616	−	2.16294i
$982$	−2.42926	+	32.7333i	−0.0775207	+	1.04456i
$983$	−36.0324	−	23.1566i	−1.14925	−	0.738581i	−0.179763	−	0.983710i	$-0.557533\pi$
$983$	−36.0324	−	23.1566i	−1.14925	−	0.738581i	−0.969490	+	0.245129i	$0.921170\pi$
$984$	41.1893	+	15.7409i	1.31307	+	0.501802i
$985$	−10.6959	+	6.87385i	−0.340800	+	0.219019i
$986$	−5.84245	−	3.21056i	−0.186062	−	0.102245i
$987$	4.98030	+	16.9613i	0.158525	+	0.539885i
$988$	12.1251	−	10.3933i	0.385752	−	0.330655i
$989$	11.8273	+	18.2647i	0.376086	+	0.580784i
$990$	−5.51557	−	14.9096i	−0.175296	−	0.473860i
$991$	44.9317	−	13.1931i	1.42730	−	0.419094i	0.525334	−	0.850896i	$-0.323941\pi$
$991$	44.9317	−	13.1931i	1.42730	−	0.419094i	0.901968	+	0.431803i	$0.142122\pi$
$992$	−30.1560	−	23.2110i	−0.957453	−	0.736949i
$993$	12.4163	−	7.97948i	0.394020	−	0.253221i
$994$	11.3484	−	6.15728i	0.359948	−	0.195297i
$995$	−4.95065	+	7.70336i	−0.156946	+	0.244213i
$996$	−15.6654	−	54.4283i	−0.496378	−	1.72463i
$997$	13.4741	+	11.6753i	0.426728	+	0.369762i	0.841585	−	0.540125i	$-0.181623\pi$
$997$	13.4741	+	11.6753i	0.426728	+	0.369762i	−0.414857	+	0.909887i	$0.636168\pi$
$998$	11.1657	+	51.9979i	0.353444	+	1.64596i
$999$	55.2979	+	121.085i	1.74955	+	3.83097i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.p.a.101.17	yes	220
4.3	odd	2		736.2.x.a.561.22		220
8.3	odd	2		736.2.x.a.561.1		220
8.5	even	2	inner	184.2.p.a.101.14	✓	220
23.18	even	11	inner	184.2.p.a.133.14	yes	220
92.87	odd	22		736.2.x.a.593.1		220
184.133	even	22	inner	184.2.p.a.133.17	yes	220
184.179	odd	22		736.2.x.a.593.22		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.p.a.101.14	✓	220	8.5	even	2	inner
184.2.p.a.101.17	yes	220	1.1	even	1	trivial
184.2.p.a.133.14	yes	220	23.18	even	11	inner
184.2.p.a.133.17	yes	220	184.133	even	22	inner
736.2.x.a.561.1		220	8.3	odd	2
736.2.x.a.561.22		220	4.3	odd	2
736.2.x.a.593.1		220	92.87	odd	22
736.2.x.a.593.22		220	184.179	odd	22

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:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.p (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.844472 + 1.13440i) q^{2} +(-2.39213 + 2.07279i) q^{3} +(-0.573735 + 1.91594i) q^{4} +(1.26368 - 0.181690i) q^{5} +(-4.37146 - 0.963222i) q^{6} +(-0.503208 + 1.10187i) q^{7} +(-2.65795 + 0.967111i) q^{8} +(0.998872 - 6.94731i) q^{9} +(1.27326 + 1.28009i) q^{10} +(0.353427 - 1.20366i) q^{11} +(-2.59890 - 5.77241i) q^{12} +(-2.81167 + 1.28405i) q^{13} +(-1.67491 + 0.359659i) q^{14} +(-2.64629 + 3.05398i) q^{15} +(-3.34166 - 2.19848i) q^{16} +(5.48879 + 3.52743i) q^{17} +(8.72456 - 4.73368i) q^{18} +(1.39664 + 2.17321i) q^{19} +(-0.376912 + 2.52539i) q^{20} +(-1.08021 - 3.67887i) q^{21} +(1.66389 - 0.615530i) q^{22} +(-0.666131 + 4.74934i) q^{23} +(4.35354 - 7.82283i) q^{24} +(-3.23358 + 0.949464i) q^{25} +(-3.83100 - 2.10522i) q^{26} +(6.87712 + 10.7010i) q^{27} +(-1.82241 - 1.59630i) q^{28} +(-0.390608 + 0.607798i) q^{29} +(-5.69916 - 0.422955i) q^{30} +(4.40532 - 5.08402i) q^{31} +(-0.327969 - 5.64734i) q^{32} +(1.64950 + 3.61189i) q^{33} +(0.633603 + 9.20530i) q^{34} +(-0.435697 + 1.48385i) q^{35} +(12.7375 + 5.89969i) q^{36} +(10.3582 + 1.48929i) q^{37} +(-1.28587 + 3.41956i) q^{38} +(4.06432 - 8.89961i) q^{39} +(-3.18309 + 1.70505i) q^{40} +(0.700945 + 4.87518i) q^{41} +(3.26110 - 4.33209i) q^{42} +(3.42900 - 2.97124i) q^{43} +(2.10337 + 1.36773i) q^{44} -8.96069i q^{45} +(-5.95019 + 3.25503i) q^{46} -4.61048 q^{47} +(12.5507 - 1.66750i) q^{48} +(3.62312 + 4.18131i) q^{49} +(-3.80774 - 2.86638i) q^{50} +(-20.4415 + 2.93905i) q^{51} +(-0.847003 - 6.12370i) q^{52} +(-13.0451 - 5.95748i) q^{53} +(-6.33171 + 16.8381i) q^{54} +(0.227926 - 1.58526i) q^{55} +(0.271869 - 3.41538i) q^{56} +(-7.84555 - 2.30366i) q^{57} +(-1.01934 + 0.0701617i) q^{58} +(9.20621 - 4.20434i) q^{59} +(-4.33298 - 6.82231i) q^{60} +(-1.57021 - 1.36060i) q^{61} +(9.48749 + 0.704101i) q^{62} +(7.15240 + 4.59657i) q^{63} +(6.12939 - 5.14107i) q^{64} +(-3.31977 + 2.13348i) q^{65} +(-2.70439 + 4.92133i) q^{66} +(0.186146 + 0.633956i) q^{67} +(-9.90745 + 8.49238i) q^{68} +(-8.25093 - 12.7418i) q^{69} +(-2.05121 + 0.758811i) q^{70} +(-7.23146 + 2.12335i) q^{71} +(4.06387 + 19.4316i) q^{72} +(9.55234 - 6.13891i) q^{73} +(7.05778 + 13.0081i) q^{74} +(5.76710 - 8.97378i) q^{75} +(-4.96504 + 1.42903i) q^{76} +(1.14843 + 0.995123i) q^{77} +(13.5279 - 2.90490i) q^{78} +(-5.85092 - 12.8117i) q^{79} +(-4.62224 - 2.17104i) q^{80} +(-18.4286 - 5.41112i) q^{81} +(-4.93849 + 4.91211i) q^{82} +(8.85577 + 1.27327i) q^{83} +(7.66824 + 0.0410716i) q^{84} +(7.57699 + 3.46030i) q^{85} +(6.26627 + 1.38073i) q^{86} +(-0.325454 - 2.26358i) q^{87} +(0.224684 + 3.54107i) q^{88} +(1.74473 + 2.01353i) q^{89} +(10.1650 - 7.56705i) q^{90} -3.74424i q^{91} +(-8.71728 - 4.00113i) q^{92} +21.2929i q^{93} +(-3.89342 - 5.23014i) q^{94} +(2.15976 + 2.49250i) q^{95} +(12.4903 + 12.8294i) q^{96} +(-1.43796 - 10.0012i) q^{97} +(-1.68366 + 7.64107i) q^{98} +(-8.00918 - 3.65767i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) \) 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Introduction

L-functions

Modular forms

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Database

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