LMFDB - Embedded newform 184.2.j.a.107.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(11,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([11, 11, 9])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.11"); S:= CuspForms(chi, 2); N := Newforms(S);

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

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.46924739719$
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			107.1
Character	$\chi$	$=$	184.107
Dual form			184.2.j.a.43.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.41411 - 0.0170496i) q^{2} +(-1.09406 - 2.39566i) q^{3} +(1.99942 + 0.0482200i) q^{4} +(2.07888 + 2.39915i) q^{5} +(1.50628 + 3.40638i) q^{6} +(2.05633 + 1.32152i) q^{7} +(-2.82658 - 0.102278i) q^{8} +(-2.57763 + 2.97474i) q^{9} +(-2.89886 - 3.42811i) q^{10} +(4.22113 - 0.606906i) q^{11} +(-2.07197 - 4.84268i) q^{12} +(-1.73266 - 2.69608i) q^{13} +(-2.88534 - 1.90384i) q^{14} +(3.47313 - 7.60509i) q^{15} +(3.99535 + 0.192824i) q^{16} +(1.19030 + 4.05381i) q^{17} +(3.69577 - 4.16267i) q^{18} +(2.01257 - 6.85419i) q^{19} +(4.04085 + 4.89715i) q^{20} +(0.916167 - 6.37208i) q^{21} +(-5.97949 + 0.786264i) q^{22} +(-4.76790 + 0.516883i) q^{23} +(2.84742 + 6.88341i) q^{24} +(-0.722624 + 5.02596i) q^{25} +(2.40421 + 3.84209i) q^{26} +(2.36563 + 0.694612i) q^{27} +(4.04773 + 2.74143i) q^{28} +(0.219068 + 0.746078i) q^{29} +(-5.04105 + 10.6952i) q^{30} +(3.02811 + 1.38289i) q^{31} +(-5.64658 - 0.340794i) q^{32} +(-6.07211 - 9.44839i) q^{33} +(-1.61411 - 5.75283i) q^{34} +(1.10432 + 7.68071i) q^{35} +(-5.29721 + 5.82347i) q^{36} +(3.72550 - 4.29946i) q^{37} +(-2.96286 + 9.65828i) q^{38} +(-4.56324 + 7.10054i) q^{39} +(-5.63072 - 6.99401i) q^{40} +(4.46097 + 5.14823i) q^{41} +(-1.40420 + 8.99521i) q^{42} +(-7.42601 + 3.39134i) q^{43} +(8.46906 - 1.00992i) q^{44} -12.4954 q^{45} +(6.75115 - 0.649639i) q^{46} -4.96239i q^{47} +(-3.90921 - 9.78246i) q^{48} +(-0.425844 - 0.932469i) q^{49} +(1.10756 - 7.09494i) q^{50} +(8.40927 - 7.28668i) q^{51} +(-3.33431 - 5.47413i) q^{52} +(3.91295 + 2.51470i) q^{53} +(-3.33342 - 1.02259i) q^{54} +(10.2313 + 8.86543i) q^{55} +(-5.67720 - 3.94570i) q^{56} +(-18.6222 + 2.67747i) q^{57} +(-0.297067 - 1.05877i) q^{58} +(-8.13360 + 5.22715i) q^{59} +(7.31096 - 15.0383i) q^{60} +(-2.48100 + 5.43263i) q^{61} +(-4.25850 - 2.00719i) q^{62} +(-9.23164 + 2.71065i) q^{63} +(7.97908 + 0.578192i) q^{64} +(2.86630 - 9.76173i) q^{65} +(8.42554 + 13.4646i) q^{66} +(2.79093 + 0.401275i) q^{67} +(2.18444 + 8.16265i) q^{68} +(6.45464 + 10.8568i) q^{69} +(-1.43068 - 10.8802i) q^{70} +(-8.76749 - 1.26057i) q^{71} +(7.59012 - 8.14471i) q^{72} +(0.107965 + 0.0317015i) q^{73} +(-5.34158 + 6.01639i) q^{74} +(12.8311 - 3.76755i) q^{75} +(4.35449 - 13.6074i) q^{76} +(9.48205 + 4.33031i) q^{77} +(6.57399 - 9.96315i) q^{78} +(-3.79042 + 2.43595i) q^{79} +(7.84322 + 9.98630i) q^{80} +(0.756427 + 5.26107i) q^{81} +(-6.22053 - 7.35623i) q^{82} +(4.77682 + 4.13913i) q^{83} +(2.13906 - 12.6963i) q^{84} +(-7.25119 + 11.2831i) q^{85} +(10.5590 - 4.66913i) q^{86} +(1.54768 - 1.34107i) q^{87} +(-11.9934 + 1.28374i) q^{88} +(3.30946 - 1.51138i) q^{89} +(17.6699 + 0.213042i) q^{90} -7.83376i q^{91} +(-9.55794 + 0.803557i) q^{92} -8.76728i q^{93} +(-0.0846067 + 7.01736i) q^{94} +(20.6281 - 9.42055i) q^{95} +(5.36128 + 13.9001i) q^{96} +(3.10872 - 2.69372i) q^{97} +(0.586293 + 1.32587i) q^{98} +(-9.07511 + 14.1212i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Character values

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

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{17}{22}\right)$

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 $

$2$	−1.41411	−	0.0170496i	−0.999927	−	0.0120559i
$2$	−1.41411	−	0.0170496i	−0.999927	−	0.0120559i
$3$	−1.09406	−	2.39566i	−0.631656	−	1.38313i	−0.906730	−	0.421711i	$-0.861430\pi$
$3$	−1.09406	−	2.39566i	−0.631656	−	1.38313i	0.275074	−	0.961423i	$-0.411298\pi$
$4$	1.99942	+	0.0482200i	0.999709	+	0.0241100i
$5$	2.07888	+	2.39915i	0.929701	+	1.07293i	0.997168	+	0.0752109i	$0.0239630\pi$
$5$	2.07888	+	2.39915i	0.929701	+	1.07293i	−0.0674664	+	0.997722i	$0.521492\pi$
$6$	1.50628	+	3.40638i	0.614935	+	1.39065i
$7$	2.05633	+	1.32152i	0.777218	+	0.499488i	0.868109	−	0.496373i	$-0.165335\pi$
$7$	2.05633	+	1.32152i	0.777218	+	0.499488i	−0.0908911	+	0.995861i	$0.528972\pi$
$8$	−2.82658	−	0.102278i	−0.999346	−	0.0361606i
$9$	−2.57763	+	2.97474i	−0.859210	+	0.991581i
$10$	−2.89886	−	3.42811i	−0.916699	−	1.08406i
$11$	4.22113	−	0.606906i	1.27272	−	0.182989i	0.527353	−	0.849646i	$-0.323185\pi$
$11$	4.22113	−	0.606906i	1.27272	−	0.182989i	0.745365	+	0.666657i	$0.232275\pi$
$12$	−2.07197	−	4.84268i	−0.598125	−	1.39796i
$13$	−1.73266	−	2.69608i	−0.480554	−	0.747757i	0.513329	−	0.858192i	$-0.328412\pi$
$13$	−1.73266	−	2.69608i	−0.480554	−	0.747757i	−0.993883	+	0.110435i	$0.964776\pi$
$14$	−2.88534	−	1.90384i	−0.771140	−	0.508822i
$15$	3.47313	−	7.60509i	0.896758	−	1.96363i
$16$	3.99535	+	0.192824i	0.998837	+	0.0482060i
$17$	1.19030	+	4.05381i	0.288691	+	0.983192i	0.968336	+	0.249651i	$0.0803159\pi$
$17$	1.19030	+	4.05381i	0.288691	+	0.983192i	−0.679645	+	0.733542i	$0.737866\pi$
$18$	3.69577	−	4.16267i	0.871102	−	0.981151i
$19$	2.01257	−	6.85419i	0.461716	−	1.57246i	−0.319114	−	0.947716i	$-0.603385\pi$
$19$	2.01257	−	6.85419i	0.461716	−	1.57246i	0.780830	−	0.624744i	$-0.214797\pi$
$20$	4.04085	+	4.89715i	0.903563	+	1.09504i
$21$	0.916167	−	6.37208i	0.199924	−	1.39050i
$22$	−5.97949	+	0.786264i	−1.27483	+	0.167632i
$23$	−4.76790	+	0.516883i	−0.994175	+	0.107777i
$23$	−4.76790	+	0.516883i	−0.994175	+	0.107777i
$24$	2.84742	+	6.88341i	0.581228	+	1.40507i
$25$	−0.722624	+	5.02596i	−0.144525	+	1.00519i
$26$	2.40421	+	3.84209i	0.471505	+	0.753496i
$27$	2.36563	+	0.694612i	0.455266	+	0.133678i
$28$	4.04773	+	2.74143i	0.764950	+	0.518081i
$29$	0.219068	+	0.746078i	0.0406800	+	0.138543i	0.977329	−	0.211726i	$-0.0679084\pi$
$29$	0.219068	+	0.746078i	0.0406800	+	0.138543i	−0.936649	+	0.350269i	$0.886090\pi$
$30$	−5.04105	+	10.6952i	−0.920366	+	1.95267i
$31$	3.02811	+	1.38289i	0.543864	+	0.248374i	0.668350	−	0.743847i	$-0.267001\pi$
$31$	3.02811	+	1.38289i	0.543864	+	0.248374i	−0.124486	+	0.992221i	$0.539728\pi$
$32$	−5.64658	−	0.340794i	−0.998184	−	0.0602444i
$33$	−6.07211	−	9.44839i	−1.05702	−	1.64475i
$34$	−1.61411	−	5.75283i	−0.276817	−	0.986601i
$35$	1.10432	+	7.68071i	0.186664	+	1.29828i
$36$	−5.29721	+	5.82347i	−0.882868	+	0.970578i
$37$	3.72550	−	4.29946i	0.612469	−	0.706827i	−0.361790	−	0.932260i	$-0.617834\pi$
$37$	3.72550	−	4.29946i	0.612469	−	0.706827i	0.974259	+	0.225433i	$0.0723797\pi$
$38$	−2.96286	+	9.65828i	−0.480640	+	1.56678i
$39$	−4.56324	+	7.10054i	−0.730703	+	1.13700i
$40$	−5.63072	−	6.99401i	−0.890295	−	1.10585i
$41$	4.46097	+	5.14823i	0.696686	+	0.804018i	0.988301	−	0.152517i	$-0.0487380\pi$
$41$	4.46097	+	5.14823i	0.696686	+	0.804018i	−0.291615	+	0.956536i	$0.594193\pi$
$42$	−1.40420	+	8.99521i	−0.216673	+	1.38799i
$43$	−7.42601	+	3.39134i	−1.13246	+	0.517175i	−0.891346	−	0.453323i	$-0.850238\pi$
$43$	−7.42601	+	3.39134i	−1.13246	+	0.517175i	−0.241109	+	0.970498i	$0.577511\pi$
$44$	8.46906	−	1.00992i	1.27676	−	0.152251i
$45$	−12.4954			−1.86271
$46$	6.75115	−	0.649639i	0.995402	−	0.0957840i
$47$		−	4.96239i		−	0.723839i	−0.932209	−	0.361919i	$-0.882122\pi$
$47$		−	4.96239i		−	0.723839i	0.932209	−	0.361919i	$-0.117878\pi$
$48$	−3.90921	−	9.78246i	−0.564247	−	1.41198i
$49$	−0.425844	−	0.932469i	−0.0608349	−	0.133210i
$50$	1.10756	−	7.09494i	0.156633	−	1.00338i
$51$	8.40927	−	7.28668i	1.17753	−	1.02034i
$52$	−3.33431	−	5.47413i	−0.462386	−	0.759126i
$53$	3.91295	+	2.51470i	0.537485	+	0.345421i	0.781055	−	0.624463i	$-0.214682\pi$
$53$	3.91295	+	2.51470i	0.537485	+	0.345421i	−0.243569	+	0.969883i	$0.578318\pi$
$54$	−3.33342	−	1.02259i	−0.453621	−	0.139157i
$55$	10.2313	+	8.86543i	1.37958	+	1.19541i
$56$	−5.67720	−	3.94570i	−0.758648	−	0.527266i
$57$	−18.6222	+	2.67747i	−2.46657	+	0.354639i
$58$	−0.297067	−	1.05877i	−0.0390068	−	0.139024i
$59$	−8.13360	+	5.22715i	−1.05890	+	0.680517i	−0.949591	−	0.313491i	$-0.898502\pi$
$59$	−8.13360	+	5.22715i	−1.05890	+	0.680517i	−0.109313	+	0.994007i	$0.534865\pi$
$60$	7.31096	−	15.0383i	0.943840	−	1.94143i
$61$	−2.48100	+	5.43263i	−0.317659	+	0.695577i	−0.999349	−	0.0360642i	$-0.988518\pi$
$61$	−2.48100	+	5.43263i	−0.317659	+	0.695577i	0.681690	+	0.731641i	$0.261245\pi$
$62$	−4.25850	−	2.00719i	−0.540830	−	0.254913i
$63$	−9.23164	+	2.71065i	−1.16308	+	0.341510i
$64$	7.97908	+	0.578192i	0.997385	+	0.0722740i
$65$	2.86630	−	9.76173i	0.355521	−	1.21079i
$66$	8.42554	+	13.4646i	1.03711	+	1.65738i
$67$	2.79093	+	0.401275i	0.340967	+	0.0490236i	0.310671	−	0.950517i	$-0.399446\pi$
$67$	2.79093	+	0.401275i	0.340967	+	0.0490236i	0.0302952	+	0.999541i	$0.490355\pi$
$68$	2.18444	+	8.16265i	0.264903	+	0.989867i
$69$	6.45464	+	10.8568i	0.777048	+	1.30700i
$70$	−1.43068	−	10.8802i	−0.170999	−	1.30043i
$71$	−8.76749	−	1.26057i	−1.04051	−	0.149603i	−0.399183	−	0.916871i	$-0.630706\pi$
$71$	−8.76749	−	1.26057i	−1.04051	−	0.149603i	−0.641326	+	0.767269i	$0.721615\pi$
$72$	7.59012	−	8.14471i	0.894505	−	0.959863i
$73$	0.107965	+	0.0317015i	0.0126364	+	0.00371038i	0.288045	−	0.957617i	$-0.406995\pi$
$73$	0.107965	+	0.0317015i	0.0126364	+	0.00371038i	−0.275408	+	0.961327i	$0.588813\pi$
$74$	−5.34158	+	6.01639i	−0.620946	+	0.699391i
$75$	12.8311	−	3.76755i	1.48161	−	0.435039i
$76$	4.35449	−	13.6074i	0.499494	−	1.56087i
$77$	9.48205	+	4.33031i	1.08058	+	0.493484i
$78$	6.57399	−	9.96315i	0.744358	−	1.12810i
$79$	−3.79042	+	2.43595i	−0.426455	+	0.274066i	−0.736214	−	0.676749i	$-0.763388\pi$
$79$	−3.79042	+	2.43595i	−0.426455	+	0.274066i	0.309758	+	0.950815i	$0.399752\pi$
$80$	7.84322	+	9.98630i	0.876899	+	1.11650i
$81$	0.756427	+	5.26107i	0.0840475	+	0.584563i
$82$	−6.22053	−	7.35623i	−0.686942	−	0.812359i
$83$	4.77682	+	4.13913i	0.524324	+	0.454329i	0.876360	−	0.481657i	$-0.159965\pi$
$83$	4.77682	+	4.13913i	0.524324	+	0.454329i	−0.352036	+	0.935986i	$0.614511\pi$
$84$	2.13906	−	12.6963i	0.233391	−	1.38528i
$85$	−7.25119	+	11.2831i	−0.786502	+	1.22382i
$86$	10.5590	−	4.66913i	1.13861	−	0.503485i
$87$	1.54768	−	1.34107i	0.165928	−	0.143778i
$88$	−11.9934	+	1.28374i	−1.27850	+	0.136847i
$89$	3.30946	−	1.51138i	0.350802	−	0.160206i	−0.232218	−	0.972664i	$-0.574598\pi$
$89$	3.30946	−	1.51138i	0.350802	−	0.160206i	0.583020	+	0.812458i	$0.301871\pi$
$90$	17.6699	+	0.213042i	1.86257	+	0.0224566i
$91$		−	7.83376i		−	0.821202i
$92$	−9.55794	+	0.803557i	−0.996485	+	0.0837766i
$93$		−	8.76728i		−	0.909125i
$94$	−0.0846067	+	7.01736i	−0.00872651	+	0.723786i
$95$	20.6281	−	9.42055i	2.11640	−	0.966528i
$96$	5.36128	+	13.9001i	0.547183	+	1.41868i
$97$	3.10872	−	2.69372i	0.315642	−	0.273506i	−0.482602	−	0.875840i	$-0.660308\pi$
$97$	3.10872	−	2.69372i	0.315642	−	0.273506i	0.798244	+	0.602334i	$0.205763\pi$
$98$	0.586293	+	1.32587i	0.0592245	+	0.133934i
$99$	−9.07511	+	14.1212i	−0.912083	+	1.41923i
$100$	−1.68718	+	10.0142i	−0.168718	+	1.00142i
$101$	−12.9733	−	11.2415i	−1.29090	−	1.11857i	−0.986100	−	0.166150i	$-0.946866\pi$
$101$	−12.9733	−	11.2415i	−1.29090	−	1.11857i	−0.304796	−	0.952418i	$-0.598588\pi$
$102$	−12.0159	+	10.1608i	−1.18975	+	1.00607i
$103$	−0.577459	−	4.01632i	−0.0568987	−	0.395739i	−0.998292	−	0.0584274i	$-0.981391\pi$
$103$	−0.577459	−	4.01632i	−0.0568987	−	0.395739i	0.941393	−	0.337312i	$-0.109518\pi$
$104$	4.62176	+	7.79788i	0.453201	+	0.764645i
$105$	17.1922	−	11.0487i	1.67778	−	1.07825i
$106$	−5.49047	−	3.62278i	−0.533282	−	0.351876i
$107$	−11.6229	−	5.30798i	−1.12362	−	0.513142i	−0.235100	−	0.971971i	$-0.575542\pi$
$107$	−11.6229	−	5.30798i	−1.12362	−	0.513142i	−0.888525	+	0.458829i	$0.848269\pi$
$108$	4.69639	+	1.50289i	0.451911	+	0.144616i
$109$	−13.8793	+	4.07534i	−1.32940	+	0.390347i	−0.867876	−	0.496782i	$-0.834515\pi$
$109$	−13.8793	+	4.07534i	−1.32940	+	0.390347i	−0.461523	+	0.887128i	$0.652697\pi$
$110$	−14.3170	−	12.7111i	−1.36507	−	1.21196i
$111$	−14.3760	−	4.22116i	−1.36451	−	0.400655i
$112$	7.96092	+	5.67645i	0.752236	+	0.536374i
$113$	−5.31350	−	0.763967i	−0.499852	−	0.0718679i	−0.112223	−	0.993683i	$-0.535797\pi$
$113$	−5.31350	−	0.763967i	−0.499852	−	0.0718679i	−0.387630	+	0.921815i	$0.626706\pi$
$114$	26.3795	−	3.46873i	2.47067	−	0.324877i
$115$	−11.1519	−	10.3644i	−1.03992	−	0.966482i
$116$	0.402033	+	1.50229i	0.0373279	+	0.139484i
$117$	12.4863	+	1.79526i	1.15436	+	0.165972i
$118$	11.5909	−	7.25309i	1.06703	−	0.667701i
$119$	−2.90953	+	9.90896i	−0.266717	+	0.908353i
$120$	−10.5949	+	21.1412i	−0.967178	+	1.92991i
$121$	6.89515	−	2.02460i	0.626832	−	0.184054i
$122$	3.60103	−	7.64004i	0.326022	−	0.691697i
$123$	7.45283	−	16.3194i	0.672000	−	1.47147i
$124$	5.98777	+	2.91099i	0.537718	+	0.261415i
$125$	−0.207352	+	0.133257i	−0.0185461	+	0.0119189i
$126$	13.1008	−	3.67577i	1.16711	−	0.327463i
$127$	−0.578714	+	0.0832065i	−0.0513525	+	0.00738338i	−0.167943	−	0.985797i	$-0.553713\pi$
$127$	−0.578714	+	0.0832065i	−0.0513525	+	0.00738338i	0.116591	+	0.993180i	$0.462803\pi$
$128$	−11.2734	−	0.953667i	−0.996441	−	0.0842931i
$129$	16.2490	+	14.0798i	1.43065	+	1.23966i
$130$	−4.21970	+	13.7553i	−0.370092	+	1.20642i
$131$	−1.65064	−	1.06080i	−0.144217	−	0.0926827i	0.466543	−	0.884499i	$-0.345499\pi$
$131$	−1.65064	−	1.06080i	−0.144217	−	0.0926827i	−0.610760	+	0.791816i	$0.709136\pi$
$132$	−11.6851	−	19.1841i	−1.01706	−	1.66976i
$133$	13.1965	−	11.4348i	1.14428	−	0.991523i
$134$	−3.93984	−	0.615032i	−0.340351	−	0.0531307i
$135$	3.25137	+	7.11951i	0.279834	+	0.612750i
$136$	−2.94987	−	11.5801i	−0.252950	−	0.992989i
$137$			5.75004i			0.491259i	0.969364	+	0.245630i	$0.0789947\pi$
$137$			5.75004i			0.491259i	−0.969364	+	0.245630i	$0.921005\pi$
$138$	−8.94248	−	15.4627i	−0.761234	−	1.31627i
$139$	−21.3876			−1.81407			−0.907037	−	0.421051i	$-0.861661\pi$
$139$	−21.3876			−1.81407			−0.907037	+	0.421051i	$0.861661\pi$
$140$	1.83763	+	15.4102i	0.155308	+	1.30240i
$141$	−11.8882	+	5.42915i	−1.00117	+	0.457217i
$142$	12.3767	+	1.93207i	1.03863	+	0.162136i
$143$	−8.95006	−	10.3289i	−0.748441	−	0.863747i
$144$	−10.8721	+	11.3881i	−0.906012	+	0.949010i
$145$	−1.33454	+	2.07658i	−0.110827	+	0.172451i
$146$	−0.152135	−	0.0466702i	−0.0125907	−	0.00386245i
$147$	−1.76798	+	2.04035i	−0.145820	+	0.168286i
$148$	7.65616	−	8.41677i	0.629332	−	0.691855i
$149$	−0.375519	−	2.61180i	−0.0307638	−	0.213967i	0.968641	−	0.248464i	$-0.0799259\pi$
$149$	−0.375519	−	2.61180i	−0.0307638	−	0.213967i	−0.999405	+	0.0344978i	$0.989017\pi$
$150$	−18.2088	+	5.10896i	−1.48674	+	0.417145i
$151$	9.95793	+	15.4948i	0.810365	+	1.26095i	0.962145	+	0.272538i	$0.0878632\pi$
$151$	9.95793	+	15.4948i	0.810365	+	1.26095i	−0.151780	+	0.988414i	$0.548500\pi$
$152$	−6.38972	+	19.1681i	−0.518275	+	1.55474i
$153$	−15.1272	−	6.90836i	−1.22296	−	0.558508i
$154$	−13.3348	−	6.28520i	−1.07455	−	0.506476i
$155$	2.97730	+	10.1397i	0.239142	+	0.814444i
$156$	−9.46622	+	13.9769i	−0.757904	+	1.11905i
$157$	18.3865	+	5.39876i	1.46740	+	0.430868i	0.915254	−	0.402877i	$-0.131990\pi$
$157$	18.3865	+	5.39876i	1.46740	+	0.430868i	0.552149	+	0.833746i	$0.313808\pi$
$158$	5.40160	−	3.38008i	0.429729	−	0.268905i
$159$	1.74336	−	12.1253i	0.138257	−	0.961602i
$160$	−10.9209	−	14.2555i	−0.863374	−	1.12699i
$161$	−10.4874	−	5.23799i	−0.826525	−	0.412812i
$162$	−0.979973	−	7.45263i	−0.0769939	−	0.585534i
$163$	−1.55157	+	10.7914i	−0.121528	+	0.845249i	0.834297	+	0.551315i	$0.185874\pi$
$163$	−1.55157	+	10.7914i	−0.121528	+	0.845249i	−0.955826	+	0.293934i	$0.905035\pi$
$164$	8.67109	+	10.5086i	0.677099	+	0.820582i
$165$	10.0449	−	34.2099i	0.781997	−	2.66324i
$166$	−6.68438	−	5.93464i	−0.518808	−	0.460617i
$167$	2.53479	+	8.63271i	0.196148	+	0.668019i	0.997554	+	0.0698986i	$0.0222676\pi$
$167$	2.53479	+	8.63271i	0.196148	+	0.668019i	−0.801406	+	0.598121i	$0.795914\pi$
$168$	−3.24134	+	17.9175i	−0.250075	+	1.38236i
$169$	1.13369	−	2.48243i	0.0872068	−	0.190956i
$170$	10.4464	−	15.8319i	0.801199	−	1.21425i
$171$	15.2018	+	23.6545i	1.16251	+	1.80890i
$172$	−15.0112	+	6.42264i	−1.14460	+	0.489721i
$173$	−17.8248	+	2.56282i	−1.35519	+	0.194847i	−0.781338	−	0.624109i	$-0.785462\pi$
$173$	−17.8248	+	2.56282i	−1.35519	+	0.194847i	−0.573856	+	0.818956i	$0.694553\pi$
$174$	−2.21145	+	1.87003i	−0.167649	+	0.141767i
$175$	−8.12786	+	9.38005i	−0.614408	+	0.709065i
$176$	16.9819	−	1.61087i	1.28006	−	0.121424i
$177$	21.4211	+	13.7665i	1.61011	+	1.03475i
$178$	−4.70572	+	2.08084i	−0.352708	+	0.155965i
$179$	1.14028	+	1.31595i	0.0852285	+	0.0983589i	0.796762	−	0.604293i	$-0.206544\pi$
$179$	1.14028	+	1.31595i	0.0852285	+	0.0983589i	−0.711533	+	0.702652i	$0.751999\pi$
$180$	−24.9836	−	0.602530i	−1.86217	−	0.0449099i
$181$	3.52414	+	7.71680i	0.261948	+	0.573585i	0.994212	−	0.107435i	$-0.0342638\pi$
$181$	3.52414	+	7.71680i	0.261948	+	0.573585i	−0.732265	+	0.681020i	$0.761537\pi$
$182$	−0.133562	+	11.0778i	−0.00990031	+	0.821142i
$183$	15.7291			1.16273
$184$	13.5297	−	0.973359i	0.997422	−	0.0717570i
$185$	18.0599			1.32779
$186$	−0.149479	+	12.3979i	−0.0109603	+	0.909058i
$187$	7.48471	+	16.3892i	0.547336	+	1.19850i
$188$	0.239286	−	9.92189i	0.0174518	−	0.723628i
$189$	3.94657	+	4.55458i	0.287070	+	0.331297i
$190$	−29.3311	+	12.9700i	−2.12790	+	0.940943i
$191$	−1.17160	−	0.752943i	−0.0847742	−	0.0544811i	0.497567	−	0.867426i	$-0.334227\pi$
$191$	−1.17160	−	0.752943i	−0.0847742	−	0.0544811i	−0.582341	+	0.812944i	$0.697863\pi$
$192$	−7.34445	−	19.7477i	−0.530040	−	1.42517i
$193$	−10.8980	+	12.5769i	−0.784452	+	0.905305i	−0.997422	−	0.0717531i	$-0.977141\pi$
$193$	−10.8980	+	12.5769i	−0.784452	+	0.905305i	0.212971	+	0.977059i	$0.431686\pi$
$194$	−4.44200	+	3.75621i	−0.318917	+	0.269680i
$195$	−26.5217	+	3.81324i	−1.89926	+	0.273072i
$196$	−0.806477	−	1.88493i	−0.0576055	−	0.134638i
$197$	−9.35186	−	14.5518i	−0.666292	−	1.03677i	−0.995705	−	0.0925850i	$-0.970487\pi$
$197$	−9.35186	−	14.5518i	−0.666292	−	1.03677i	0.329412	−	0.944186i	$-0.393149\pi$
$198$	13.0740	−	19.8141i	0.929127	−	1.40813i
$199$	8.45659	−	18.5173i	0.599471	−	1.31266i	−0.330075	−	0.943955i	$-0.607074\pi$
$199$	8.45659	−	18.5173i	0.599471	−	1.31266i	0.929547	−	0.368705i	$-0.120199\pi$
$200$	2.55660	−	14.1324i	0.180779	−	0.999308i
$201$	−2.09213	−	7.12514i	−0.147567	−	0.502569i
$202$	18.1541	+	16.1179i	1.27732	+	1.13405i
$203$	−0.535482	+	1.82368i	−0.0375835	+	0.127998i
$204$	17.1650	−	14.1636i	1.20179	−	0.991652i
$205$	−3.07758	+	21.4051i	−0.214948	+	1.49499i
$206$	0.748114	+	5.68936i	0.0521236	+	0.396396i
$207$	10.7523	−	15.5156i	0.747335	−	1.07841i
$208$	−6.40273	−	11.1059i	−0.443949	−	0.770053i
$209$	4.33547	−	30.1539i	0.299891	−	2.08579i
$210$	−24.5000	+	15.3310i	−1.69066	+	1.05794i
$211$	0.500833	+	0.147058i	0.0344788	+	0.0101239i	0.298926	−	0.954276i	$-0.403371\pi$
$211$	0.500833	+	0.147058i	0.0344788	+	0.0101239i	−0.264448	+	0.964400i	$0.585190\pi$
$212$	7.70237	+	5.21662i	0.529001	+	0.358279i
$213$	6.57226	+	22.3831i	0.450324	+	1.53366i
$214$	16.3455	+	7.70424i	1.11736	+	0.526651i
$215$	−23.5741	−	10.7659i	−1.60774	−	0.734230i
$216$	−6.61560	−	2.20533i	−0.450134	−	0.150053i
$217$	4.39926	+	6.84538i	0.298641	+	0.464695i
$218$	19.6964	−	5.52634i	1.33401	−	0.374291i
$219$	−0.0421747	−	0.293332i	−0.00284990	−	0.0198215i
$220$	20.0291	+	18.2191i	1.35036	+	1.22833i
$221$	8.86697	−	10.2330i	0.596457	−	0.688348i
$222$	20.2572	+	6.21430i	1.35958	+	0.417076i
$223$	1.31192	−	2.04139i	0.0878526	−	0.136701i	−0.794546	−	0.607204i	$-0.792291\pi$
$223$	1.31192	−	2.04139i	0.0878526	−	0.136701i	0.882399	+	0.470503i	$0.155927\pi$
$224$	−11.1608	−	8.16285i	−0.745715	−	0.545404i
$225$	−13.0883	−	15.1047i	−0.872553	−	1.00698i
$226$	7.50086	+	1.17093i	0.498950	+	0.0778889i
$227$	−11.2628	+	5.14353i	−0.747535	+	0.341388i	−0.752493	−	0.658600i	$-0.771149\pi$
$227$	−11.2628	+	5.14353i	−0.747535	+	0.341388i	0.00495800	+	0.999988i	$0.498422\pi$
$228$	−37.3627	+	4.45541i	−2.47440	+	0.295067i
$229$	20.6452			1.36427			0.682135	−	0.731226i	$-0.261052\pi$
$229$	20.6452			1.36427			0.682135	+	0.731226i	$0.261052\pi$
$230$	15.5934	+	14.8465i	1.02820	+	0.978949i
$231$		−	27.4534i		−	1.80630i
$232$	−0.542906	−	2.13125i	−0.0356436	−	0.139924i
$233$	−11.7406	−	25.7083i	−0.769152	−	1.68421i	−0.728511	−	0.685034i	$-0.759787\pi$
$233$	−11.7406	−	25.7083i	−0.769152	−	1.68421i	−0.0406403	−	0.999174i	$-0.512940\pi$
$234$	−17.6264	−	2.75158i	−1.15227	−	0.179877i
$235$	11.9055	−	10.3162i	0.776630	−	0.672954i
$236$	−16.5145	+	10.0591i	−1.07500	+	0.654789i
$237$	9.98266	+	6.41547i	0.648444	+	0.416729i
$238$	4.28335	−	13.9628i	0.277648	−	0.905071i
$239$	3.47690	+	3.01275i	0.224902	+	0.194879i	0.760022	−	0.649897i	$-0.225188\pi$
$239$	3.47690	+	3.01275i	0.224902	+	0.194879i	−0.535120	+	0.844776i	$0.679734\pi$
$240$	15.3428	−	29.7153i	0.990374	−	1.91811i
$241$	−2.14745	+	0.308757i	−0.138330	+	0.0198888i	−0.211132	−	0.977458i	$-0.567715\pi$
$241$	−2.14745	+	0.308757i	−0.138330	+	0.0198888i	0.0728021	+	0.997346i	$0.476806\pi$
$242$	−9.78503	+	2.74545i	−0.629005	+	0.176484i
$243$	17.9985	−	11.5669i	1.15460	−	0.742018i
$244$	−5.22252	+	10.7425i	−0.334337	+	0.687716i
$245$	1.35186	−	2.96015i	0.0863669	−	0.189117i
$246$	−10.8174	+	22.9504i	−0.689691	+	1.46327i
$247$	−21.9665	+	6.44996i	−1.39770	+	0.410401i
$248$	−8.41774	−	4.21855i	−0.534527	−	0.267878i
$249$	4.68983	−	15.9721i	0.297206	−	1.01219i
$250$	0.295490	−	0.184905i	0.0186885	−	0.0116944i
$251$	2.85387	+	0.410324i	0.180134	+	0.0258994i	0.231792	−	0.972765i	$-0.425541\pi$
$251$	2.85387	+	0.410324i	0.180134	+	0.0258994i	−0.0516572	+	0.998665i	$0.516450\pi$
$252$	−18.5886	+	4.97458i	−1.17097	+	0.313369i
$253$	−19.8122	+	5.07549i	−1.24558	+	0.319094i
$254$	0.819784	−	0.107796i	0.0514378	−	0.00676375i
$255$	34.9637	+	5.02701i	2.18951	+	0.314804i
$256$	15.9256	+	1.54080i	0.995352	+	0.0962999i
$257$	16.8385	+	4.94422i	1.05035	+	0.308412i	0.760961	−	0.648798i	$-0.224728\pi$
$257$	16.8385	+	4.94422i	1.05035	+	0.308412i	0.289394	+	0.957210i	$0.406546\pi$
$258$	−22.7378	−	20.1875i	−1.41560	−	1.25682i
$259$	13.3427	−	3.91776i	0.829073	−	0.243438i
$260$	6.20165	−	19.3796i	0.384610	−	1.20187i
$261$	−2.78407	−	1.27144i	−0.172330	−	0.0787003i
$262$	2.31610	+	1.52823i	0.143089	+	0.0944146i
$263$	11.9572	−	7.68446i	0.737315	−	0.473844i	−0.117306	−	0.993096i	$-0.537426\pi$
$263$	11.9572	−	7.68446i	0.737315	−	0.473844i	0.854621	+	0.519252i	$0.173789\pi$
$264$	16.1969	+	27.3276i	0.996852	+	1.68190i
$265$	2.10139	+	14.6155i	0.129088	+	0.897824i
$266$	−18.8562	+	15.9451i	−1.15615	+	0.977656i
$267$	−7.24151	−	6.27480i	−0.443173	−	0.384012i
$268$	5.56089	+	0.936896i	0.339685	+	0.0572300i
$269$	10.6192	−	16.5237i	0.647462	−	1.00747i	−0.350033	−	0.936737i	$-0.613830\pi$
$269$	10.6192	−	16.5237i	0.647462	−	1.00747i	0.997495	−	0.0707330i	$-0.0225338\pi$
$270$	−4.47642	−	10.1232i	−0.272426	−	0.616079i
$271$	−12.9699	+	11.2385i	−0.787864	+	0.682688i	−0.952794	−	0.303618i	$-0.901806\pi$
$271$	−12.9699	+	11.2385i	−0.787864	+	0.682688i	0.164930	+	0.986305i	$0.447260\pi$
$272$	3.97401	+	16.4259i	0.240960	+	0.995966i
$273$	−18.7670	+	8.57061i	−1.13583	+	0.518717i
$274$	0.0980358	−	8.13120i	0.00592256	−	0.491224i
$275$			21.6538i			1.30577i
$276$	12.3820	+	22.0184i	0.745310	+	1.32535i
$277$			16.1277i			0.969021i	0.874786	+	0.484510i	$0.161002\pi$
$277$			16.1277i			0.969021i	−0.874786	+	0.484510i	$0.838998\pi$
$278$	30.2445	+	0.364650i	1.81394	+	0.0218703i
$279$	−11.9191	+	5.44327i	−0.713577	+	0.325880i
$280$	−2.33588	−	21.8231i	−0.139595	−	1.30418i
$281$	0.847160	−	0.734068i	0.0505373	−	0.0437908i	−0.629226	−	0.777222i	$-0.716628\pi$
$281$	0.847160	−	0.734068i	0.0505373	−	0.0437908i	0.679763	+	0.733432i	$0.262083\pi$
$282$	16.9038	−	7.47474i	1.00661	−	0.445114i
$283$	2.86091	−	4.45166i	0.170063	−	0.264624i	−0.745752	−	0.666224i	$-0.767909\pi$
$283$	2.86091	−	4.45166i	0.170063	−	0.264624i	0.915815	+	0.401600i	$0.131546\pi$
$284$	−17.4691	−	2.94318i	−1.03660	−	0.174646i
$285$	−45.1368	−	39.1113i	−2.67368	−	2.31675i
$286$	12.4803	+	14.7588i	0.737974	+	0.872708i
$287$	2.36971	+	16.4817i	0.139880	+	0.972884i
$288$	15.5686	−	15.9187i	0.917387	−	0.938018i
$289$	−0.715211	+	0.459638i	−0.0420712	+	0.0270375i
$290$	1.92259	−	2.91376i	0.112898	−	0.171102i
$291$	−9.85436	−	4.50033i	−0.577673	−	0.263814i
$292$	0.214339	+	0.0685907i	0.0125433	+	0.00401396i
$293$	24.2304	−	7.11468i	1.41555	−	0.415644i	0.517557	−	0.855648i	$-0.326841\pi$
$293$	24.2304	−	7.11468i	1.41555	−	0.415644i	0.897996	+	0.440005i	$0.145023\pi$
$294$	2.53490	−	2.85514i	0.147839	−	0.166515i
$295$	−29.4495	−	8.64714i	−1.71461	−	0.503456i
$296$	−10.9702	+	11.7717i	−0.637627	+	0.684217i
$297$	10.4072	+	1.49633i	0.603887	+	0.0868258i
$298$	0.486496	+	3.69977i	0.0281820	+	0.214322i
$299$	9.65471	+	11.9590i	0.558346	+	0.691609i
$300$	25.8364	−	6.91418i	1.49166	−	0.399191i
$301$	−19.7520	−	2.83991i	−1.13849	−	0.163690i
$302$	−13.8174	−	22.0812i	−0.795104	−	1.27063i
$303$	−12.7371	+	43.3786i	−0.731727	+	2.49203i
$304$	9.36259	−	26.9968i	0.536981	−	1.54837i
$305$	−18.1914	+	5.34147i	−1.04164	+	0.305852i
$306$	21.2738	+	10.0271i	1.21614	+	0.573211i
$307$	10.1709	−	22.2711i	0.580482	−	1.27108i	−0.360544	−	0.932742i	$-0.617409\pi$
$307$	10.1709	−	22.2711i	0.580482	−	1.27108i	0.941026	−	0.338335i	$-0.109864\pi$
$308$	18.7498	+	9.11532i	1.06837	+	0.519394i
$309$	−8.98995	+	5.77749i	−0.511420	+	0.328670i
$310$	−4.03735	−	14.3895i	−0.229306	−	0.817267i
$311$	2.57754	−	0.370594i	0.146159	−	0.0210144i	−0.0688471	−	0.997627i	$-0.521932\pi$
$311$	2.57754	−	0.370594i	0.146159	−	0.0210144i	0.215006	+	0.976613i	$0.431023\pi$
$312$	13.6246	−	19.6035i	0.771340	−	1.10983i
$313$	5.87981	+	5.09488i	0.332346	+	0.287980i	0.805008	−	0.593264i	$-0.202161\pi$
$313$	5.87981	+	5.09488i	0.332346	+	0.287980i	−0.472661	+	0.881244i	$0.656707\pi$
$314$	−25.9085	−	7.94793i	−1.46210	−	0.448528i
$315$	−25.6947	−	16.5130i	−1.44773	−	0.930400i
$316$	−7.69610	+	4.68772i	−0.432939	+	0.263705i
$317$	−25.0082	+	21.6698i	−1.40460	+	1.21710i	−0.460408	+	0.887707i	$0.652297\pi$
$317$	−25.0082	+	21.6698i	−1.40460	+	1.21710i	−0.944195	+	0.329388i	$0.893158\pi$
$318$	−2.67204	+	17.1168i	−0.149840	+	0.959865i
$319$	1.37751	+	3.01634i	0.0771260	+	0.168882i
$320$	15.2003	+	20.3450i	0.849725	+	1.13732i
$321$			33.6517i			1.87825i
$322$	14.7411	+	7.58591i	0.821488	+	0.422746i
$323$	30.1812			1.67932
$324$	1.25873	+	10.5556i	0.0699292	+	0.586420i
$325$	14.8024	−	6.76005i	0.821091	−	0.374980i
$326$	2.37808	−	15.2338i	0.131710	−	0.843722i
$327$	24.9479	+	28.7915i	1.37962	+	1.59217i
$328$	−12.0827	−	15.0081i	−0.667157	−	0.828685i
$329$	6.55790	−	10.2043i	0.361549	−	0.562581i
$330$	−14.7879	+	48.2054i	−0.814048	+	2.65362i
$331$	3.32703	−	3.83960i	0.182870	−	0.211043i	−0.656911	−	0.753968i	$-0.728137\pi$
$331$	3.32703	−	3.83960i	0.182870	−	0.211043i	0.839782	+	0.542924i	$0.182683\pi$
$332$	9.35127	+	8.50620i	0.513217	+	0.466838i
$333$	3.18682	+	22.1648i	0.174637	+	1.21463i
$334$	−3.43729	−	12.2508i	−0.188080	−	0.670336i
$335$	4.83928	+	7.53006i	0.264398	+	0.411411i
$336$	4.88910	−	25.2820i	0.266722	−	1.37925i
$337$	0.272358	+	0.124382i	0.0148363	+	0.00677551i	0.422819	−	0.906214i	$-0.361040\pi$
$337$	0.272358	+	0.124382i	0.0148363	+	0.00677551i	−0.407983	+	0.912989i	$0.633768\pi$
$338$	−1.64548	+	3.49110i	−0.0895026	+	0.189891i
$339$	3.98309	+	13.5652i	0.216332	+	0.736759i
$340$	−15.0422	+	22.2099i	−0.815780	+	1.20450i
$341$	13.6213	+	3.99958i	0.737635	+	0.216589i
$342$	−21.0937	−	33.7092i	−1.14062	−	1.82279i
$343$	2.79168	−	19.4166i	0.150737	−	1.04840i
$344$	21.3370	−	8.82638i	1.15042	−	0.475887i
$345$	−12.6286	+	38.0555i	−0.679900	+	2.04884i
$346$	25.2499	−	3.32020i	1.35744	−	0.178495i
$347$	3.32813	−	23.1477i	0.178663	−	1.24263i	−0.681196	−	0.732101i	$-0.738540\pi$
$347$	3.32813	−	23.1477i	0.178663	−	1.24263i	0.859860	−	0.510530i	$-0.170551\pi$
$348$	3.15912	−	2.60673i	0.169346	−	0.139735i
$349$	4.39767	−	14.9771i	0.235402	−	0.801705i	−0.754047	−	0.656821i	$-0.771901\pi$
$349$	4.39767	−	14.9771i	0.235402	−	0.801705i	0.989449	−	0.144884i	$-0.0462810\pi$
$350$	11.6536	−	13.1259i	0.622912	−	0.701606i
$351$	−2.22611	−	7.58145i	−0.118821	−	0.404668i
$352$	−24.0418	+	1.98841i	−1.28143	+	0.105983i
$353$	6.41665	−	14.0505i	0.341524	−	0.747833i	−0.658465	−	0.752612i	$-0.728794\pi$
$353$	6.41665	−	14.0505i	0.341524	−	0.747833i	0.999989	+	0.00477864i	$0.00152109\pi$
$354$	−30.0571	−	19.8326i	−1.59752	−	1.05409i
$355$	−15.2022	−	23.6551i	−0.806849	−	1.25548i
$356$	6.68988	−	2.86230i	0.354563	−	0.151702i
$357$	26.9217	−	3.87076i	1.42485	−	0.204862i
$358$	−1.59005	−	1.88034i	−0.0840365	−	0.0993793i
$359$	−8.60921	+	9.93556i	−0.454377	+	0.524379i	−0.936000	−	0.352000i	$-0.885502\pi$
$359$	−8.60921	+	9.93556i	−0.454377	+	0.524379i	0.481624	+	0.876378i	$0.340047\pi$
$360$	35.3193	+	1.27800i	1.86149	+	0.0673567i
$361$	−26.9457	−	17.3170i	−1.41820	−	0.911419i
$362$	−4.85196	−	10.9725i	−0.255013	−	0.576701i
$363$	−12.3940	−	14.3034i	−0.650514	−	0.750734i
$364$	0.377744	−	15.6630i	0.0197992	−	0.820963i
$365$	0.148390	+	0.324929i	0.00776708	+	0.0170075i
$366$	−22.2427	−	0.268174i	−1.16264	−	0.0140177i
$367$	27.9079			1.45678			0.728391	−	0.685162i	$-0.240269\pi$
$367$	27.9079			1.45678			0.728391	+	0.685162i	$0.240269\pi$
$368$	−19.1491	+	1.14576i	−0.998215	+	0.0597270i
$369$	−26.8134			−1.39585
$370$	−25.5387	−	0.307914i	−1.32769	−	0.0160077i
$371$	4.72308	+	10.3421i	0.245210	+	0.536935i
$372$	0.422758	−	17.5295i	0.0219190	−	0.908860i
$373$	−2.42064	−	2.79356i	−0.125336	−	0.144645i	0.689613	−	0.724178i	$-0.257781\pi$
$373$	−2.42064	−	2.79356i	−0.125336	−	0.144645i	−0.814949	+	0.579533i	$0.803235\pi$
$374$	−10.3048	−	23.3038i	−0.532847	−	1.20501i
$375$	0.546094	+	0.350953i	0.0282002	+	0.0181231i
$376$	−0.507542	+	14.0266i	−0.0261745	+	0.723365i
$377$	1.63191	−	1.88333i	0.0840478	−	0.0969963i
$378$	−5.50323	−	6.50797i	−0.283055	−	0.334734i
$379$	−3.69723	+	0.531581i	−0.189914	+	0.0273055i	−0.236615	−	0.971603i	$-0.576038\pi$
$379$	−3.69723	+	0.531581i	−0.189914	+	0.0273055i	0.0467015	+	0.998909i	$0.485129\pi$
$380$	41.6985	−	17.8409i	2.13909	−	0.915221i
$381$	0.832482	+	1.29537i	0.0426494	+	0.0663637i
$382$	1.64394	+	1.08472i	0.0841112	+	0.0554991i
$383$	−4.78867	+	10.4857i	−0.244690	+	0.535795i	−0.991633	−	0.129093i	$-0.958793\pi$
$383$	−4.78867	+	10.4857i	−0.244690	+	0.535795i	0.746943	+	0.664888i	$0.231521\pi$
$384$	10.0492	+	28.0507i	0.512820	+	1.43146i
$385$	9.32295	+	31.7510i	0.475141	+	1.61818i
$386$	15.6253	−	17.5993i	0.795309	−	0.895782i
$387$	9.05312	−	30.8321i	0.460196	−	1.56728i
$388$	6.34552	−	5.23597i	0.322145	−	0.265816i
$389$	−3.90016	+	27.1262i	−0.197746	+	1.37535i	0.613060	+	0.790037i	$0.289939\pi$
$389$	−3.90016	+	27.1262i	−0.197746	+	1.37535i	−0.810805	+	0.585316i	$0.800971\pi$
$390$	37.5696	−	4.94016i	1.90241	−	0.250155i
$391$	−7.77059	−	18.7129i	−0.392976	−	0.946351i
$392$	1.10831	+	2.67925i	0.0559781	+	0.135323i
$393$	−0.735419	+	5.11495i	−0.0370970	+	0.258015i
$394$	12.9765	+	20.7373i	0.653745	+	1.04473i
$395$	−13.7240	−	4.02974i	−0.690531	−	0.202758i
$396$	−18.8259	+	27.7965i	−0.946036	+	1.39683i
$397$	1.07776	+	3.67050i	0.0540910	+	0.184217i	0.982107	−	0.188323i	$-0.0603052\pi$
$397$	1.07776	+	3.67050i	0.0540910	+	0.184217i	−0.928016	+	0.372540i	$0.878487\pi$
$398$	−12.2743	+	26.0414i	−0.615253	+	1.30534i
$399$	−41.8316	−	19.1039i	−2.09420	−	0.956389i
$400$	−3.85626	+	19.9411i	−0.192813	+	0.997056i
$401$	−5.35720	−	8.33596i	−0.267526	−	0.416278i	0.681336	−	0.731971i	$-0.261399\pi$
$401$	−5.35720	−	8.33596i	−0.267526	−	0.416278i	−0.948861	+	0.315693i	$0.897763\pi$
$402$	2.83702	+	10.1114i	0.141498	+	0.504311i
$403$	−1.51831	−	10.5601i	−0.0756325	−	0.526036i
$404$	−25.3971	−	23.1020i	−1.26355	−	1.14937i
$405$	−11.0496	+	12.7519i	−0.549058	+	0.633646i
$406$	0.788324	−	2.56976i	0.0391239	−	0.127535i
$407$	13.1164	−	20.4096i	0.650158	−	1.01167i
$408$	−24.5147	+	19.7363i	−1.21366	+	0.977091i
$409$	5.06326	+	5.84331i	0.250362	+	0.288933i	0.866994	−	0.498318i	$-0.166049\pi$
$409$	5.06326	+	5.84331i	0.250362	+	0.288933i	−0.616632	+	0.787251i	$0.711503\pi$
$410$	4.71699	−	30.2167i	0.232956	−	1.49229i
$411$	13.7751	−	6.29090i	0.679478	−	0.310307i
$412$	−0.960915	−	8.05814i	−0.0473409	−	0.396996i
$413$	−23.6331			−1.16291
$414$	−15.4695	+	21.7575i	−0.760282	+	1.06932i
$415$			20.0650i			0.984954i
$416$	8.86482	+	15.8141i	0.434633	+	0.775350i
$417$	23.3994	+	51.2374i	1.14587	+	2.50911i
$418$	−6.64495	+	42.5670i	−0.325015	+	2.08202i
$419$	−20.9315	+	18.1372i	−1.02257	+	0.886061i	−0.993536	−	0.113517i	$-0.963788\pi$
$419$	−20.9315	+	18.1372i	−1.02257	+	0.886061i	−0.0290332	+	0.999578i	$0.509243\pi$
$420$	34.9071	−	21.2620i	1.70329	−	1.03748i
$421$	−33.5839	−	21.5831i	−1.63678	−	1.05189i	−0.943577	−	0.331153i	$-0.892562\pi$
$421$	−33.5839	−	21.5831i	−1.63678	−	1.05189i	−0.693203	−	0.720742i	$-0.743801\pi$
$422$	−0.705726	−	0.216495i	−0.0343542	−	0.0105388i
$423$	14.7618	+	12.7912i	0.717745	+	0.621929i
$424$	−10.8031	−	7.50821i	−0.524643	−	0.364631i
$425$	−21.2344	+	3.05305i	−1.03002	+	0.148095i
$426$	−8.91228	−	31.7642i	−0.431801	−	1.53898i
$427$	−12.2811	+	7.89257i	−0.594323	+	0.381948i
$428$	−22.9830	−	11.1733i	−1.11093	−	0.540083i
$429$	−14.9527	+	32.7417i	−0.721921	+	1.58079i
$430$	33.1528	+	15.6261i	1.59877	+	0.753559i
$431$	−9.47536	+	2.78222i	−0.456412	+	0.134015i	−0.501854	−	0.864952i	$-0.667349\pi$
$431$	−9.47536	+	2.78222i	−0.456412	+	0.134015i	0.0454420	+	0.998967i	$0.485530\pi$
$432$	9.31758	+	3.23137i	0.448293	+	0.155469i
$433$	−6.80649	+	23.1808i	−0.327099	+	1.11400i	0.617718	+	0.786400i	$0.288057\pi$
$433$	−6.80649	+	23.1808i	−0.327099	+	1.11400i	−0.944817	+	0.327598i	$0.893761\pi$
$434$	−6.10433	−	9.75513i	−0.293017	−	0.468261i
$435$	6.43485	+	0.925191i	0.308527	+	0.0443595i
$436$	−27.9471	+	7.47905i	−1.33842	+	0.358181i
$437$	−6.05293	+	33.7203i	−0.289551	+	1.61306i
$438$	0.0546385	+	0.415522i	0.00261073	+	0.0198544i
$439$	1.20898	+	0.173825i	0.0577016	+	0.00829624i	0.171105	−	0.985253i	$-0.445266\pi$
$439$	1.20898	+	0.173825i	0.0577016	+	0.00829624i	−0.113404	+	0.993549i	$0.536175\pi$
$440$	−28.0127	−	26.1053i	−1.33545	−	1.24452i
$441$	3.87152	+	1.13678i	0.184358	+	0.0541325i
$442$	−12.7134	+	14.3195i	−0.604713	+	0.681108i
$443$	19.4018	−	5.69688i	0.921807	−	0.270667i	0.213804	−	0.976877i	$-0.431415\pi$
$443$	19.4018	−	5.69688i	0.921807	−	0.270667i	0.708003	+	0.706210i	$0.249596\pi$
$444$	−28.5400	−	9.13308i	−1.35445	−	0.433437i
$445$	10.5060	+	4.79793i	0.498032	+	0.227443i
$446$	−1.89000	+	2.86438i	−0.0894943	+	0.135632i
$447$	−5.84613	+	3.75708i	−0.276512	+	0.177704i
$448$	15.6435	+	11.7335i	0.739086	+	0.554354i
$449$	−3.69873	−	25.7252i	−0.174554	−	1.21405i	−0.869113	−	0.494614i	$-0.835310\pi$
$449$	−3.69873	−	25.7252i	−0.174554	−	1.21405i	0.694559	−	0.719436i	$-0.255599\pi$
$450$	18.2508	+	21.5829i	0.860349	+	1.01743i
$451$	21.9548	+	19.0239i	1.03381	+	0.895802i
$452$	−10.5871	−	1.78371i	−0.497974	−	0.0838985i
$453$	26.2258	−	40.8081i	1.23219	−	1.91733i
$454$	16.0145	−	7.08149i	0.751597	−	0.332351i
$455$	18.7944	−	16.2854i	0.881094	−	0.763472i
$456$	52.9109	−	5.66343i	2.47778	−	0.265214i
$457$	−9.75984	+	4.45717i	−0.456546	+	0.208498i	−0.630395	−	0.776275i	$-0.717107\pi$
$457$	−9.75984	+	4.45717i	−0.456546	+	0.208498i	0.173849	+	0.984772i	$0.444380\pi$
$458$	−29.1945	−	0.351991i	−1.36417	−	0.0164475i
$459$			10.4166i			0.486206i
$460$	−21.7976	−	21.2604i	−1.01632	−	0.991273i
$461$		−	30.0068i		−	1.39756i	−0.715339	−	0.698778i	$-0.753728\pi$
$461$		−	30.0068i		−	1.39756i	0.715339	−	0.698778i	$-0.246272\pi$
$462$	−0.468069	+	38.8221i	−0.0217765	+	1.80617i
$463$	7.46336	−	3.40840i	0.346852	−	0.158402i	−0.234369	−	0.972148i	$-0.575302\pi$
$463$	7.46336	−	3.40840i	0.346852	−	0.158402i	0.581221	+	0.813746i	$0.302575\pi$
$464$	0.731393	+	3.02309i	0.0339541	+	0.140343i
$465$	21.0340	−	18.2261i	0.975429	−	0.845214i
$466$	16.1642	+	36.5546i	0.748791	+	1.69336i
$467$	15.9893	−	24.8799i	0.739897	−	1.15130i	−0.243511	−	0.969898i	$-0.578299\pi$
$467$	15.9893	−	24.8799i	0.739897	−	1.15130i	0.983409	−	0.181404i	$-0.0580643\pi$
$468$	24.8788	+	4.19157i	1.15002	+	0.193755i
$469$	5.20877	+	4.51343i	0.240519	+	0.208411i
$470$	−17.0116	+	14.3852i	−0.784686	+	0.663542i
$471$	−7.18235	−	49.9544i	−0.330945	−	2.30178i
$472$	23.5249	−	13.9431i	1.08282	−	0.641781i
$473$	−29.2879	+	18.8222i	−1.34666	+	0.865445i
$474$	−14.0072	−	9.24238i	−0.643373	−	0.424517i
$475$	32.9946	+	15.0681i	1.51389	+	0.691373i
$476$	−6.29519	+	19.6719i	−0.288539	+	0.901658i
$477$	−17.5667	+	5.15806i	−0.804326	+	0.236171i
$478$	−4.86536	−	4.31965i	−0.222536	−	0.197576i
$479$	12.1971	+	3.58140i	0.557301	+	0.163638i	0.548241	−	0.836321i	$-0.315298\pi$
$479$	12.1971	+	3.58140i	0.557301	+	0.163638i	0.00906046	+	0.999959i	$0.497116\pi$
$480$	−22.2031	+	41.7591i	−1.01343	+	1.90604i
$481$	−18.0467	−	2.59473i	−0.822859	−	0.118309i
$482$	3.04200	−	0.400004i	0.138559	−	0.0182197i
$483$	−1.07457	+	30.8550i	−0.0488947	+	1.40395i
$484$	13.8839	−	3.71554i	0.631087	−	0.168888i
$485$	12.9253	+	1.85837i	0.586906	+	0.0843844i
$486$	−25.6491	+	16.0500i	−1.16346	+	0.728045i
$487$	4.07713	−	13.8854i	0.184752	−	0.629209i	−0.814073	−	0.580762i	$-0.802755\pi$
$487$	4.07713	−	13.8854i	0.184752	−	0.629209i	0.998826	−	0.0484469i	$-0.0154272\pi$
$488$	7.56837	−	15.1020i	0.342604	−	0.683635i
$489$	27.5501	−	8.08943i	1.24586	−	0.365817i
$490$	−1.96214	+	4.16293i	−0.0886406	+	0.188062i
$491$	−14.8755	+	32.5729i	−0.671323	+	1.46999i	0.200259	+	0.979743i	$0.435822\pi$
$491$	−14.8755	+	32.5729i	−0.671323	+	1.46999i	−0.871582	+	0.490250i	$0.836906\pi$
$492$	15.6883	−	32.2700i	0.707281	−	1.45484i
$493$	−2.76370	+	1.77612i	−0.124471	+	0.0799925i
$494$	31.1731	−	8.74644i	1.40254	−	0.393521i
$495$	−52.7448	+	7.58356i	−2.37070	+	0.340856i
$496$	11.8317	+	6.10902i	0.531259	+	0.274303i
$497$	−16.3629	−	14.1786i	−0.733978	−	0.635996i
$498$	−6.90425	+	22.5063i	−0.309387	+	1.00853i
$499$	−6.90572	−	4.43804i	−0.309143	−	0.198674i	0.376865	−	0.926268i	$-0.377002\pi$
$499$	−6.90572	−	4.43804i	−0.309143	−	0.198674i	−0.686008	+	0.727594i	$0.740638\pi$
$500$	−0.421009	+	0.256438i	−0.0188281	+	0.0114682i
$501$	17.9078	−	15.5172i	0.800062	−	0.693258i
$502$	−4.02869	−	0.628901i	−0.179809	−	0.0280692i
$503$	2.41967	+	5.29834i	0.107888	+	0.236241i	0.955874	−	0.293777i	$-0.0949123\pi$
$503$	2.41967	+	5.29834i	0.107888	+	0.236241i	−0.847986	+	0.530018i	$0.822185\pi$
$504$	26.3712	−	6.71768i	1.17467	−	0.299229i
$505$		−	54.4946i		−	2.42498i
$506$	28.1032	−	6.83952i	1.24934	−	0.304054i
$507$	−7.18738			−0.319203
$508$	−1.16110	+	0.138459i	−0.0515156	+	0.00614313i
$509$	21.6669	−	9.89495i	0.960370	−	0.438586i	0.127367	−	0.991856i	$-0.459347\pi$
$509$	21.6669	−	9.89495i	0.960370	−	0.438586i	0.833002	+	0.553270i	$0.186620\pi$
$510$	−49.3568	−	7.70487i	−2.18555	−	0.341177i
$511$	0.180118	+	0.207867i	0.00796795	+	0.00919550i
$512$	−22.4943	−	2.45039i	−0.994119	−	0.108293i
$513$	9.52201	−	14.8165i	0.420407	−	0.654166i
$514$	−23.7272	−	7.27876i	−1.04656	−	0.321053i
$515$	8.43528	−	9.73483i	0.371703	−	0.428968i
$516$	31.8096	+	28.9350i	1.40034	+	1.27379i
$517$	−3.01170	−	20.9469i	−0.132455	−	0.921242i
$518$	−18.9348	+	5.31266i	−0.831948	+	0.233425i
$519$	25.6410	+	39.8982i	1.12552	+	1.75134i
$520$	−9.10023	+	27.2991i	−0.399071	+	1.19715i
$521$	20.8092	+	9.50326i	0.911669	+	0.416345i	0.815325	−	0.579003i	$-0.196558\pi$
$521$	20.8092	+	9.50326i	0.911669	+	0.416345i	0.0963435	+	0.995348i	$0.469285\pi$
$522$	3.91531	+	1.84543i	0.171368	+	0.0807722i
$523$	6.82892	+	23.2572i	0.298608	+	1.01696i	0.962982	+	0.269565i	$0.0868797\pi$
$523$	6.82892	+	23.2572i	0.298608	+	1.01696i	−0.664375	+	0.747400i	$0.731302\pi$
$524$	−3.24917	−	2.20058i	−0.141941	−	0.0961328i
$525$	31.3638	+	9.20924i	1.36883	+	0.401924i
$526$	−17.0399	+	10.6628i	−0.742974	+	0.464920i
$527$	−2.00160	+	13.9214i	−0.0871910	+	0.606427i
$528$	−22.4383	−	38.9205i	−0.976503	−	1.69380i
$529$	22.4657	−	4.92888i	0.976768	−	0.214299i
$530$	−2.72241	−	20.7038i	−0.118254	−	0.899315i
$531$	5.41599	−	37.6690i	0.235034	−	1.63470i
$532$	26.9366	−	22.2266i	1.16785	−	0.963646i
$533$	6.15067	−	20.9473i	0.266415	−	0.907326i
$534$	10.1333	+	8.99673i	0.438511	+	0.389327i
$535$	−11.4278	−	38.9196i	−0.494068	−	1.68264i
$536$	−7.84774	−	1.41969i	−0.338971	−	0.0613211i
$537$	1.90504	−	4.17145i	0.0822085	−	0.180012i
$538$	−15.2984	+	23.1853i	−0.659561	+	0.999591i
$539$	−2.36346	−	3.67762i	−0.101802	−	0.158406i
$540$	6.15755	+	14.3917i	0.264979	+	0.619319i
$541$	16.3168	−	2.34601i	0.701515	−	0.100863i	0.217678	−	0.976021i	$-0.430152\pi$
$541$	16.3168	−	2.34601i	0.701515	−	0.100863i	0.483837	+	0.875158i	$0.339243\pi$
$542$	18.5324	−	15.6713i	0.796037	−	0.673140i
$543$	14.6312	−	16.8853i	0.627884	−	0.724617i
$544$	−5.33964	−	23.2958i	−0.228935	−	0.998799i
$545$	−38.6307	−	24.8265i	−1.65476	−	1.06345i
$546$	26.6848	−	11.7998i	1.14200	−	0.504986i
$547$	−8.89853	−	10.2694i	−0.380474	−	0.439090i	0.532921	−	0.846165i	$-0.321094\pi$
$547$	−8.89853	−	10.2694i	−0.380474	−	0.439090i	−0.913395	+	0.407075i	$0.866549\pi$
$548$	−0.277267	+	11.4967i	−0.0118443	+	0.491116i
$549$	−9.76558	−	21.3836i	−0.416785	−	0.912632i
$550$	0.369188	−	30.6208i	0.0157422	−	1.30568i
$551$	5.55466			0.236636
$552$	−17.1341	−	31.3476i	−0.729278	−	1.33424i
$553$	−11.0135			−0.468342
$554$	0.274971	−	22.8064i	0.0116824	−	0.968950i
$555$	−19.7586	−	43.2654i	−0.838707	−	1.83651i
$556$	−42.7628	−	1.03131i	−1.81355	−	0.0437373i
$557$	−0.569808	−	0.657594i	−0.0241436	−	0.0278631i	0.743549	−	0.668681i	$-0.233141\pi$
$557$	−0.569808	−	0.657594i	−0.0241436	−	0.0278631i	−0.767693	+	0.640818i	$0.778595\pi$
$558$	16.9477	−	7.49416i	0.717454	−	0.317253i
$559$	22.0101	+	14.1450i	0.930928	+	0.598271i
$560$	2.93112	+	30.9001i	0.123862	+	1.30577i
$561$	31.0743	−	35.8616i	1.31196	−	1.51408i
$562$	−1.21049	+	1.02361i	−0.0510616	+	0.0431784i
$563$	5.56063	−	0.799498i	0.234353	−	0.0336948i	−0.0241378	−	0.999709i	$-0.507684\pi$
$563$	5.56063	−	0.799498i	0.234353	−	0.0336948i	0.258490	+	0.966014i	$0.416775\pi$
$564$	−24.0313	+	10.2819i	−1.01190	+	0.432946i
$565$	−9.21324	−	14.3361i	−0.387604	−	0.603124i
$566$	−4.12154	+	6.24636i	−0.173241	+	0.262554i
$567$	−5.39715	+	11.8181i	−0.226659	+	0.496314i
$568$	24.6530	+	4.45983i	1.03442	+	0.187130i
$569$	0.836228	+	2.84793i	0.0350565	+	0.119391i	0.975162	−	0.221491i	$-0.0710923\pi$
$569$	0.836228	+	2.84793i	0.0350565	+	0.119391i	−0.940106	+	0.340883i	$0.889274\pi$
$570$	63.1617	+	56.0773i	2.64555	+	2.34882i
$571$	−4.09416	+	13.9434i	−0.171335	+	0.583514i	0.828392	+	0.560149i	$0.189256\pi$
$571$	−4.09416	+	13.9434i	−0.171335	+	0.583514i	−0.999727	+	0.0233652i	$0.992562\pi$
$572$	−17.3968	−	21.0834i	−0.727399	−	0.881541i
$573$	−0.521991	+	3.63053i	−0.0218065	+	0.151667i
$574$	−3.07003	−	23.3474i	−0.128140	−	0.974500i
$575$	0.847565	−	24.3368i	0.0353459	−	1.01491i
$576$	−22.2871	+	22.2454i	−0.928629	+	0.926890i
$577$	4.82073	−	33.5289i	0.200690	−	1.39583i	−0.601555	−	0.798831i	$-0.705452\pi$
$577$	4.82073	−	33.5289i	0.200690	−	1.39583i	0.802245	−	0.596995i	$-0.203639\pi$
$578$	1.01922	−	0.637785i	0.0423941	−	0.0265284i
$579$	42.0530	+	12.3479i	1.74766	+	0.513160i
$580$	−2.76843	+	4.08760i	−0.114953	+	0.169729i
$581$	4.35274	+	14.8241i	0.180582	+	0.615006i
$582$	13.8584	+	6.53198i	0.574450	+	0.270759i
$583$	18.0433	+	8.24008i	0.747275	+	0.341269i
$584$	−0.301930	−	0.100649i	−0.0124940	−	0.00416489i
$585$	21.6504	+	33.6886i	0.895133	+	1.39285i
$586$	−34.3857	+	9.64782i	−1.42046	+	0.398548i
$587$	5.94507	+	41.3489i	0.245379	+	1.70665i	0.624269	+	0.781209i	$0.285397\pi$
$587$	5.94507	+	41.3489i	0.245379	+	1.70665i	−0.378890	+	0.925442i	$0.623694\pi$
$588$	−3.63331	+	3.99427i	−0.149835	+	0.164721i
$589$	15.5729	−	17.9721i	0.641670	−	0.740526i
$590$	41.4974	+	12.7301i	1.70842	+	0.524090i
$591$	−24.6296	+	38.3244i	−1.01313	+	1.57645i
$592$	15.7137	−	16.4595i	0.645830	−	0.676480i
$593$	−3.13352	−	3.61628i	−0.128678	−	0.148503i	0.687754	−	0.725944i	$-0.258597\pi$
$593$	−3.13352	−	3.61628i	−0.128678	−	0.148503i	−0.816432	+	0.577441i	$0.804051\pi$
$594$	−14.6914	−	2.29341i	−0.602796	−	0.0940998i
$595$	−29.8216	+	13.6191i	−1.22257	+	0.558328i
$596$	−0.624880	−	5.24018i	−0.0255961	−	0.214646i
$597$	−53.6132			−2.19424
$598$	−13.4489	−	17.0760i	−0.549968	−	0.698290i
$599$		−	1.76290i		−	0.0720300i	−0.999351	−	0.0360150i	$-0.988534\pi$
$599$		−	1.76290i		−	0.0720300i	0.999351	−	0.0360150i	$-0.0114664\pi$
$600$	−36.6534	+	9.33692i	−1.49637	+	0.381178i
$601$	−2.81915	−	6.17307i	−0.114995	−	0.251805i	0.843379	−	0.537319i	$-0.180563\pi$
$601$	−2.81915	−	6.17307i	−0.114995	−	0.251805i	−0.958374	+	0.285514i	$0.907836\pi$
$602$	27.8831	+	4.35272i	1.13643	+	0.177403i
$603$	−8.38768	+	7.26797i	−0.341573	+	0.295975i
$604$	19.1629	+	31.4609i	0.779728	+	1.28012i
$605$	19.1915	+	12.3336i	0.780244	+	0.501433i
$606$	18.7512	−	61.1249i	0.761717	−	2.48303i
$607$	33.7614	+	29.2544i	1.37033	+	1.18740i	0.961505	+	0.274787i	$0.0886073\pi$
$607$	33.7614	+	29.2544i	1.37033	+	1.18740i	0.408826	+	0.912612i	$0.365938\pi$
$608$	−13.7000	+	38.0169i	−0.555609	+	1.54179i
$609$	4.95477	−	0.712389i	0.200778	−	0.0288675i
$610$	25.8157	−	7.24327i	1.04525	−	0.293272i
$611$	−13.3790	+	8.59815i	−0.541255	+	0.347844i
$612$	−29.9125	−	14.5421i	−1.20914	−	0.587831i
$613$	15.2184	−	33.3236i	0.614664	−	1.34593i	−0.304673	−	0.952457i	$-0.598547\pi$
$613$	15.2184	−	33.3236i	0.614664	−	1.34593i	0.919337	−	0.393470i	$-0.128726\pi$
$614$	−14.7624	+	31.3204i	−0.595763	+	1.26399i
$615$	54.6463	−	16.0456i	2.20355	−	0.647021i
$616$	−26.3589	−	13.2098i	−1.06203	−	0.532236i
$617$	−11.3190	+	38.5490i	−0.455686	+	1.55192i	0.336524	+	0.941675i	$0.390749\pi$
$617$	−11.3190	+	38.5490i	−0.455686	+	1.55192i	−0.792210	+	0.610249i	$0.791070\pi$
$618$	12.8113	−	8.01673i	0.515345	−	0.322480i
$619$	41.1519	+	5.91675i	1.65403	+	0.237814i	0.905213	−	0.424958i	$-0.139711\pi$
$619$	41.1519	+	5.91675i	1.65403	+	0.237814i	0.748821	+	0.662772i	$0.230620\pi$
$620$	5.46392	+	20.4172i	0.219436	+	0.819973i
$621$	−11.6381	−	2.08908i	−0.467021	−	0.0838321i
$622$	−3.65124	+	0.480115i	−0.146401	+	0.0192508i
$623$	8.80266	+	1.26563i	0.352671	+	0.0507064i
$624$	−19.6009	+	27.4892i	−0.784664	+	1.10045i
$625$	23.6091	+	6.93224i	0.944362	+	0.277290i
$626$	−8.22783	−	7.30498i	−0.328850	−	0.291966i
$627$	−76.9816	+	22.6038i	−3.07435	+	0.902711i
$628$	36.5020	+	11.6810i	1.45659	+	0.466122i
$629$	21.8637	+	9.98480i	0.871761	+	0.398120i
$630$	36.0536	+	23.7893i	1.43641	+	0.947787i
$631$	−22.7217	+	14.6023i	−0.904535	+	0.581310i	−0.908132	−	0.418684i	$-0.862492\pi$
$631$	−22.7217	+	14.6023i	−0.904535	+	0.581310i	0.00359665	+	0.999994i	$0.498855\pi$
$632$	10.9631	−	6.49774i	0.436087	−	0.258466i
$633$	−0.195641	−	1.36072i	−0.00777605	−	0.0540836i
$634$	35.7339	−	30.2171i	1.41917	−	1.20007i
$635$	−1.40270	−	1.21545i	−0.0556644	−	0.0482335i
$636$	4.07039	−	24.1596i	0.161401	−	0.957989i
$637$	−1.77616	+	2.76376i	−0.0703741	+	0.109504i
$638$	−1.89653	−	4.28892i	−0.0750844	−	0.169800i
$639$	26.3492	−	22.8317i	1.04236	−	0.903210i
$640$	−21.1481	−	29.0292i	−0.835952	−	1.14748i
$641$	5.99823	−	2.73930i	0.236916	−	0.108196i	−0.293420	−	0.955984i	$-0.594793\pi$
$641$	5.99823	−	2.73930i	0.236916	−	0.108196i	0.530335	+	0.847788i	$0.322066\pi$
$642$	0.573747	−	47.5872i	0.0226440	−	1.87812i
$643$			18.5959i			0.733353i	0.930349	+	0.366676i	$0.119504\pi$
$643$			18.5959i			0.733353i	−0.930349	+	0.366676i	$0.880496\pi$
$644$	−20.7162	−	10.9786i	−0.816331	−	0.432619i
$645$			68.2541i			2.68750i
$646$	−42.6795	−	0.514576i	−1.67920	−	0.0202457i
$647$	−45.4879	+	20.7736i	−1.78831	+	0.816695i	−0.817856	+	0.575423i	$0.804838\pi$
$647$	−45.4879	+	20.7736i	−1.78831	+	0.816695i	−0.970457	+	0.241273i	$0.922435\pi$
$648$	−1.60001	−	14.9482i	−0.0628543	−	0.587220i
$649$	−31.1606	+	27.0008i	−1.22316	+	1.05987i
$650$	−21.0475	+	9.30708i	−0.825552	+	0.365054i
$651$	11.5861	−	18.0284i	0.454097	−	0.706588i
$652$	−3.62260	+	21.5017i	−0.141872	+	0.842073i
$653$	25.3913	+	22.0017i	0.993638	+	0.860992i	0.990292	−	0.139002i	$-0.0443895\pi$
$653$	25.3913	+	22.0017i	0.993638	+	0.860992i	0.00334587	+	0.999994i	$0.498935\pi$
$654$	−34.7883	−	41.1397i	−1.36033	−	1.60869i
$655$	−0.886452	−	6.16541i	−0.0346365	−	0.240902i
$656$	16.8304	+	21.4292i	0.657118	+	0.836668i
$657$	−0.372599	+	0.239455i	−0.0145365	+	0.00934202i
$658$	−9.44757	+	14.3182i	−0.368305	+	0.558181i
$659$	−18.3753	−	8.39170i	−0.715799	−	0.326894i	0.0240098	−	0.999712i	$-0.492357\pi$
$659$	−18.3753	−	8.39170i	−0.715799	−	0.326894i	−0.739809	+	0.672817i	$0.765084\pi$
$660$	21.7336	−	67.9156i	0.845981	−	2.64361i
$661$	−4.33662	+	1.27335i	−0.168675	+	0.0495274i	−0.364980	−	0.931016i	$-0.618924\pi$
$661$	−4.33662	+	1.27335i	−0.168675	+	0.0495274i	0.196305	+	0.980543i	$0.437106\pi$
$662$	−4.77025	+	5.37289i	−0.185401	+	0.208823i
$663$	−34.2159	−	10.0467i	−1.32883	−	0.390181i
$664$	−13.0787	−	12.1881i	−0.507552	−	0.472992i
$665$	54.8676	+	7.88877i	2.12767	+	0.305913i
$666$	−4.12862	−	31.3979i	−0.159981	−	1.21664i
$667$	−1.43013	−	3.44399i	−0.0553749	−	0.133352i
$668$	4.65184	+	17.3826i	0.179985	+	0.672554i
$669$	−6.32578	−	0.909511i	−0.244569	−	0.0351637i
$670$	−6.71489	−	10.7309i	−0.259419	−	0.414569i
$671$	−7.17551	+	24.4375i	−0.277008	+	0.943401i
$672$	−7.34477	+	35.6682i	−0.283331	+	1.37593i
$673$	38.2608	−	11.2344i	1.47485	−	0.433054i	0.557176	−	0.830395i	$-0.311885\pi$
$673$	38.2608	−	11.2344i	1.47485	−	0.433054i	0.917671	+	0.397340i	$0.130067\pi$
$674$	−0.383024	−	0.180533i	−0.0147535	−	0.00695388i
$675$	−5.20055	+	11.3876i	−0.200169	+	0.438310i
$676$	2.38642	−	4.90875i	0.0917854	−	0.188798i
$677$	0.852325	−	0.547756i	0.0327575	−	0.0210520i	−0.524160	−	0.851620i	$-0.675620\pi$
$677$	0.852325	−	0.547756i	0.0327575	−	0.0210520i	0.556917	+	0.830568i	$0.311984\pi$
$678$	−5.40125	−	19.2506i	−0.207434	−	0.739313i
$679$	9.95234	−	1.43093i	0.381936	−	0.0549141i
$680$	21.6501	−	31.1509i	0.830242	−	1.19458i
$681$	24.6443	+	21.3544i	0.944371	+	0.818302i
$682$	−19.1939	−	5.88808i	−0.734971	−	0.225466i
$683$	6.92971	+	4.45345i	0.265158	+	0.170407i	0.666464	−	0.745537i	$-0.267807\pi$
$683$	6.92971	+	4.45345i	0.265158	+	0.170407i	−0.401306	+	0.915944i	$0.631444\pi$
$684$	29.2542	+	48.0282i	1.11856	+	1.83640i
$685$	−13.7952	+	11.9536i	−0.527088	+	0.456724i
$686$	−4.27879	+	27.4096i	−0.163365	+	1.04650i
$687$	−22.5871	−	49.4588i	−0.861750	−	1.88697i
$688$	−30.3234	+	12.1177i	−1.15607	+	0.461983i
$689$		−	14.9068i		−	0.567902i
$690$	18.5070	−	53.5994i	0.704551	−	2.04049i
$691$	24.8069			0.943698			0.471849	−	0.881679i	$-0.343587\pi$
$691$	24.8069			0.943698			0.471849	+	0.881679i	$0.343587\pi$
$692$	−35.7628	+	4.26463i	−1.35950	+	0.162117i
$693$	−37.3228	+	17.0447i	−1.41778	+	0.647476i
$694$	−5.10100	+	32.6766i	−0.193631	+	1.24039i
$695$	−44.4622	−	51.3121i	−1.68655	−	1.94638i
$696$	−4.51178	+	3.63234i	−0.171019	+	0.137683i
$697$	−15.5600	+	24.2119i	−0.589378	+	0.917090i
$698$	−6.47414	+	21.1043i	−0.245050	+	0.798809i
$699$	−48.7434	+	56.2529i	−1.84365	+	2.12768i
$700$	−16.7033	+	18.3627i	−0.631325	+	0.694046i
$701$	0.509845	+	3.54605i	0.0192566	+	0.133933i	0.997182	−	0.0750225i	$-0.0239029\pi$
$701$	0.509845	+	3.54605i	0.0192566	+	0.133933i	−0.977925	+	0.208955i	$0.932994\pi$
$702$	3.01871	+	10.7590i	0.113934	+	0.406071i
$703$	−21.9715	−	34.1883i	−0.828670	−	1.28944i
$704$	34.0316	−	2.40193i	1.28261	−	0.0905263i
$705$	−37.7394	−	17.2350i	−1.42135	−	0.649108i
$706$	−9.31341	+	19.7596i	−0.350515	+	0.743661i
$707$	−11.8216	−	40.2607i	−0.444597	−	1.51416i
$708$	42.1660	+	28.5580i	1.58469	+	1.07327i
$709$	−23.7256	−	6.96647i	−0.891034	−	0.261631i	−0.195996	−	0.980605i	$-0.562794\pi$
$709$	−23.7256	−	6.96647i	−0.891034	−	0.261631i	−0.695038	+	0.718973i	$0.744612\pi$
$710$	21.0943	+	33.7101i	0.791655	+	1.26512i
$711$	2.52396	−	17.5545i	0.0946558	−	0.658346i
$712$	−9.50903	+	3.93355i	−0.356366	+	0.147416i
$713$	−15.1525	−	5.02830i	−0.567465	−	0.188311i
$714$	−38.1363	+	5.01467i	−1.42721	+	0.187669i
$715$	6.17457	−	42.9451i	0.230916	−	1.60605i
$716$	2.21644	+	2.68613i	0.0828323	+	0.100385i
$717$	3.41359	−	11.6256i	0.127483	−	0.434166i
$718$	12.3438	−	13.9032i	0.460665	−	0.518863i
$719$	3.22900	+	10.9970i	0.120421	+	0.410118i	0.997535	−	0.0701644i	$-0.0223524\pi$
$719$	3.22900	+	10.9970i	0.120421	+	0.410118i	−0.877114	+	0.480282i	$0.840534\pi$
$720$	−49.9236	−	2.40942i	−1.86054	−	0.0897937i
$721$	4.12020	−	9.02198i	0.153444	−	0.335996i
$722$	37.8090	+	24.9475i	1.40710	+	0.928450i
$723$	3.08912	+	4.80677i	0.114886	+	0.178766i
$724$	6.67413	+	15.5990i	0.248042	+	0.579734i
$725$	−3.90806	+	0.561895i	−0.145142	+	0.0208682i
$726$	17.2826	+	20.4379i	0.641416	+	0.758522i
$727$	−11.2837	+	13.0221i	−0.418490	+	0.482963i	−0.925376	−	0.379050i	$-0.876251\pi$
$727$	−11.2837	+	13.0221i	−0.418490	+	0.482963i	0.506886	+	0.862013i	$0.330796\pi$
$728$	−0.801219	+	22.1427i	−0.0296952	+	0.820664i
$729$	−33.9876	−	21.8425i	−1.25880	−	0.808982i
$730$	−0.204300	−	0.462015i	−0.00756148	−	0.0170999i
$731$	−22.5871	−	26.0669i	−0.835413	−	0.964118i
$732$	31.4490	+	0.758457i	1.16239	+	0.0280334i
$733$	14.7844	+	32.3734i	0.546076	+	1.19574i	0.958591	+	0.284788i	$0.0919232\pi$
$733$	14.7844	+	32.3734i	0.546076	+	1.19574i	−0.412515	+	0.910951i	$0.635350\pi$
$734$	−39.4649	−	0.475818i	−1.45668	−	0.0175628i
$735$	−8.57052			−0.316128
$736$	27.0985	−	1.29375i	0.998862	−	0.0476883i
$737$	12.0244			0.442925
$738$	37.9171	+	0.457157i	1.39575	+	0.0168282i
$739$	−0.0492369	−	0.107814i	−0.00181121	−	0.00396599i	0.908724	−	0.417397i	$-0.137058\pi$
$739$	−0.0492369	−	0.107814i	−0.00181121	−	0.00396599i	−0.910535	+	0.413431i	$0.864330\pi$
$740$	36.1093	+	0.870849i	1.32740	+	0.0320130i
$741$	39.4846	+	45.5677i	1.45050	+	1.67397i
$742$	−6.50263	−	14.7054i	−0.238719	−	0.539852i
$743$	32.8994	+	21.1431i	1.20696	+	0.775667i	0.980147	−	0.198271i	$-0.0635328\pi$
$743$	32.8994	+	21.1431i	1.20696	+	0.775667i	0.226814	+	0.973938i	$0.427169\pi$
$744$	−0.896697	+	24.7814i	−0.0328745	+	0.908530i
$745$	5.48543	−	6.33052i	0.200971	−	0.231932i
$746$	3.37542	+	3.99168i	0.123583	+	0.146146i
$747$	−24.6257	+	3.54065i	−0.901009	+	0.129545i
$748$	14.1748	+	33.1298i	0.518281	+	1.21135i
$749$	−16.8858	−	26.2748i	−0.616993	−	0.960060i
$750$	−0.766253	−	0.505597i	−0.0279796	−	0.0184618i
$751$	4.61466	−	10.1047i	0.168391	−	0.368726i	−0.806557	−	0.591156i	$-0.798672\pi$
$751$	4.61466	−	10.1047i	0.168391	−	0.368726i	0.974949	+	0.222430i	$0.0713990\pi$
$752$	0.956867	−	19.8265i	0.0348934	−	0.722997i
$753$	−2.13931	−	7.28581i	−0.0779607	−	0.265510i
$754$	−2.33982	+	2.63541i	−0.0852110	+	0.0959760i
$755$	−16.4732	+	56.1024i	−0.599520	+	2.04178i
$756$	7.67121	+	9.29681i	0.278999	+	0.338122i
$757$	4.47864	−	31.1496i	0.162779	−	1.13215i	−0.730586	−	0.682821i	$-0.760753\pi$
$757$	4.47864	−	31.1496i	0.162779	−	1.13215i	0.893365	−	0.449332i	$-0.148338\pi$
$758$	5.23735	−	0.688678i	0.190229	−	0.0250139i
$759$	33.8349	+	41.9104i	1.22813	+	1.52125i
$760$	−59.2705	+	24.5181i	−2.14997	+	0.889365i
$761$	1.03769	−	7.21728i	0.0376161	−	0.261626i	−0.962331	−	0.271880i	$-0.912355\pi$
$761$	1.03769	−	7.21728i	0.0376161	−	0.261626i	0.999947	+	0.0102535i	$0.00326386\pi$
$762$	−1.15514	−	1.84599i	−0.0418462	−	0.0668731i
$763$	−33.9261	−	9.96159i	−1.22821	−	0.360634i
$764$	−2.30622	−	1.56194i	−0.0834360	−	0.0565091i
$765$	−14.8734	−	50.6541i	−0.537748	−	1.83140i
$766$	6.95048	−	14.7463i	0.251131	−	0.532806i
$767$	28.1856	+	12.8719i	1.01772	+	0.464778i
$768$	−13.7324	−	39.8381i	−0.495525	−	1.43753i
$769$	1.71279	+	2.66515i	0.0617647	+	0.0961077i	0.870762	−	0.491704i	$-0.163626\pi$
$769$	1.71279	+	2.66515i	0.0617647	+	0.0961077i	−0.808998	+	0.587812i	$0.799990\pi$
$770$	−12.6423	−	45.0584i	−0.455598	−	1.62379i
$771$	−6.57764	−	45.7485i	−0.236888	−	1.64759i
$772$	−22.3960	+	24.6210i	−0.806051	+	0.886129i
$773$	−12.6376	+	14.5846i	−0.454543	+	0.524571i	−0.936048	−	0.351873i	$-0.885545\pi$
$773$	−12.6376	+	14.5846i	−0.454543	+	0.524571i	0.481505	+	0.876444i	$0.340090\pi$
$774$	−13.3278	+	43.4457i	−0.479058	+	1.56162i
$775$	−9.13853	+	14.2198i	−0.328266	+	0.510792i
$776$	−9.06254	+	7.29605i	−0.325326	+	0.261913i
$777$	−23.9833	−	27.6782i	−0.860397	−	0.992951i
$778$	5.97775	−	38.2929i	0.214313	−	1.37287i
$779$	44.2650	−	20.2151i	1.58596	−	0.724283i
$780$	−53.2118	+	6.34539i	−1.90529	+	0.227201i
$781$	−37.7737			−1.35165
$782$	10.6694	+	26.5946i	0.381538	+	0.951020i
$783$			1.91711i			0.0685120i
$784$	−1.52159	−	3.80765i	−0.0543426	−	0.135988i
$785$	25.2708	+	55.3353i	0.901954	+	1.97500i
$786$	1.12717	−	7.22057i	0.0402049	−	0.257549i
$787$	8.72998	−	7.56457i	0.311190	−	0.269648i	−0.485236	−	0.874383i	$-0.661266\pi$
$787$	8.72998	−	7.56457i	0.311190	−	0.269648i	0.796427	+	0.604735i	$0.206721\pi$
$788$	−17.9966	−	29.5460i	−0.641102	−	1.05253i
$789$	−31.4913	−	20.2382i	−1.12112	−	0.720500i
$790$	19.3386	+	5.93249i	0.688036	+	0.211068i
$791$	−9.91670	−	8.59287i	−0.352597	−	0.305527i
$792$	27.0958	−	38.9863i	0.962807	−	1.38532i
$793$	18.9455	−	2.72395i	0.672775	−	0.0967304i
$794$	−1.46148	−	5.20886i	−0.0518661	−	0.184856i
$795$	32.7147	−	21.0245i	1.16027	−	0.745661i
$796$	17.8012	−	36.6161i	0.630945	−	1.29782i
$797$	−0.101246	+	0.221697i	−0.00358631	+	0.00785292i	−0.911417	−	0.411485i	$-0.865010\pi$
$797$	−0.101246	+	0.221697i	−0.00358631	+	0.00785292i	0.907830	+	0.419338i	$0.137738\pi$
$798$	58.8288	+	27.7282i	2.08252	+	0.981567i
$799$	20.1166	−	5.90675i	0.711673	−	0.208966i
$800$	5.79317	−	28.1332i	0.204819	−	0.994659i
$801$	−4.03460	+	13.7406i	−0.142556	+	0.485500i
$802$	7.43355	+	11.8793i	0.262488	+	0.419473i
$803$	0.474975	+	0.0682912i	0.0167615	+	0.00240994i
$804$	−3.83947	−	14.3470i	−0.135408	−	0.505980i
$805$	−9.23531	−	36.0500i	−0.325502	−	1.27060i
$806$	1.96702	+	14.9590i	0.0692852	+	0.526909i
$807$	−51.2033	−	7.36192i	−1.80244	−	0.259152i
$808$	35.5204	+	33.1018i	1.24960	+	1.16452i
$809$	−7.28468	−	2.13898i	−0.256116	−	0.0752024i	0.151154	−	0.988510i	$-0.451701\pi$
$809$	−7.28468	−	2.13898i	−0.256116	−	0.0752024i	−0.407270	+	0.913308i	$0.633519\pi$
$810$	15.8427	−	17.8442i	0.556657	−	0.626981i
$811$	−8.06933	+	2.36937i	−0.283352	+	0.0831998i	−0.420321	−	0.907376i	$-0.638082\pi$
$811$	−8.06933	+	2.36937i	−0.283352	+	0.0831998i	0.136968	+	0.990575i	$0.456264\pi$
$812$	−1.15859	+	3.62049i	−0.0406586	+	0.127054i
$813$	41.1133	+	18.7758i	1.44191	+	0.658497i
$814$	−18.8961	+	28.6378i	−0.662307	+	1.00375i
$815$	−29.1157	+	18.7116i	−1.01988	+	0.655437i
$816$	35.0030	−	27.4913i	1.22535	−	0.962388i
$817$	8.29955	+	57.7246i	0.290364	+	2.01953i
$818$	−7.06038	−	8.34942i	−0.246861	−	0.291931i
$819$	23.3034	+	20.1925i	0.814288	+	0.705585i
$820$	−7.18553	+	42.6493i	−0.250930	+	1.48938i
$821$	−10.6947	+	16.6412i	−0.373247	+	0.580783i	−0.976168	−	0.217018i	$-0.930367\pi$
$821$	−10.6947	+	16.6412i	−0.373247	+	0.580783i	0.602921	+	0.797801i	$0.294003\pi$
$822$	−19.5868	+	8.66116i	−0.683169	+	0.302093i
$823$	−18.9703	+	16.4379i	−0.661263	+	0.572988i	−0.919498	−	0.393094i	$-0.871405\pi$
$823$	−18.9703	+	16.4379i	−0.661263	+	0.572988i	0.258235	+	0.966082i	$0.416859\pi$
$824$	1.22145	+	11.4115i	0.0425513	+	0.397538i
$825$	51.8751	−	23.6905i	1.80606	−	0.824799i
$826$	33.4198	+	0.402935i	1.16283	+	0.0140199i
$827$		−	5.97045i		−	0.207613i	−0.994598	−	0.103806i	$-0.966898\pi$
$827$		−	5.97045i		−	0.207613i	0.994598	−	0.103806i	$-0.0331022\pi$
$828$	22.2465	−	30.5037i	0.773118	−	1.06008i
$829$			4.94621i			0.171789i	0.996304	+	0.0858945i	$0.0273748\pi$
$829$			4.94621i			0.171789i	−0.996304	+	0.0858945i	$0.972625\pi$
$830$	0.342101	−	28.3742i	0.0118745	−	0.984883i
$831$	38.6365	−	17.6447i	1.34029	−	0.612088i
$832$	−12.2662	−	22.5140i	−0.425254	−	0.780533i
$833$	3.27316	−	2.83621i	0.113408	−	0.0982689i
$834$	−32.2157	−	72.8544i	−1.11554	−	2.52274i
$835$	−15.4417	+	24.0277i	−0.534381	+	0.831512i
$836$	10.1224	−	60.0811i	0.350092	−	2.07795i
$837$	6.20281	+	5.37477i	0.214401	+	0.185779i
$838$	29.9087	−	25.2912i	1.03318	−	0.873669i
$839$	−6.28072	−	43.6834i	−0.216835	−	1.50812i	−0.749621	−	0.661868i	$-0.769764\pi$
$839$	−6.28072	−	43.6834i	−0.216835	−	1.50812i	0.532786	−	0.846250i	$-0.321145\pi$
$840$	−49.7250	+	29.4717i	−1.71568	+	1.01687i
$841$	23.8877	−	15.3517i	0.823714	−	0.529369i
$842$	47.1234	+	31.0935i	1.62398	+	1.07155i
$843$	−2.68542	−	1.22639i	−0.0924908	−	0.0422391i
$844$	0.994284	+	0.318180i	0.0342247	+	0.0109522i
$845$	8.31252	−	2.44078i	0.285959	−	0.0839652i
$846$	−20.6568	−	18.3399i	−0.710195	−	0.630537i
$847$	16.8542	+	4.94885i	0.579118	+	0.170044i
$848$	15.1487	+	10.8016i	0.520209	+	0.370929i
$849$	−13.7947	−	1.98337i	−0.473432	−	0.0680692i
$850$	30.0799	−	3.95531i	1.03173	−	0.135666i
$851$	−15.5405	+	22.4250i	−0.532721	+	0.768720i
$852$	12.0614	+	45.0700i	0.413216	+	1.54407i
$853$	19.6143	+	2.82010i	0.671579	+	0.0965585i	0.469665	−	0.882845i	$-0.344375\pi$
$853$	19.6143	+	2.82010i	0.671579	+	0.0965585i	0.201914	+	0.979403i	$0.435284\pi$
$854$	17.5014	−	10.9516i	0.598884	−	0.374755i
$855$	−25.1480	+	85.6461i	−0.860042	+	2.92903i
$856$	32.3100	+	16.1922i	1.10433	+	0.553437i
$857$	6.62404	−	1.94499i	0.226273	−	0.0664397i	−0.166631	−	0.986019i	$-0.553289\pi$
$857$	6.62404	−	1.94499i	0.226273	−	0.0664397i	0.392904	+	0.919580i	$0.371471\pi$
$858$	21.7029	−	46.0455i	0.740926	−	1.57197i
$859$	2.76783	−	6.06070i	0.0944371	−	0.206788i	−0.856518	−	0.516117i	$-0.827377\pi$
$859$	2.76783	−	6.06070i	0.0944371	−	0.206788i	0.950955	+	0.309329i	$0.100104\pi$
$860$	−46.6153	−	22.6623i	−1.58957	−	0.772779i
$861$	36.8919	−	23.7090i	1.25727	−	0.808001i
$862$	13.4466	−	3.77281i	0.457995	−	0.128502i
$863$	14.0773	−	2.02402i	0.479198	−	0.0688983i	0.101517	−	0.994834i	$-0.467630\pi$
$863$	14.0773	−	2.02402i	0.479198	−	0.0688983i	0.377682	+	0.925936i	$0.376721\pi$
$864$	−13.1210	−	4.72837i	−0.446386	−	0.160863i
$865$	−43.2041	−	37.4366i	−1.46898	−	1.27288i
$866$	10.0204	−	32.6641i	0.340506	−	1.10997i
$867$	1.88362	+	1.21053i	0.0639711	+	0.0411117i
$868$	8.46588	+	13.8989i	0.287351	+	0.471760i
$869$	−14.5214	+	12.5829i	−0.492606	+	0.426846i
$870$	−9.08381	−	1.41803i	−0.307970	−	0.0480759i
$871$	−3.75388	−	8.21984i	−0.127195	−	0.278519i
$872$	39.6478	−	10.0997i	1.34264	−	0.342019i
$873$			16.1911i			0.547984i
$874$	9.13442	−	47.5811i	0.308977	−	1.60945i
$875$	−0.602485			−0.0203677
$876$	−0.0701805	−	0.588526i	−0.00237118	−	0.0198845i
$877$	−25.2080	+	11.5121i	−0.851212	+	0.388736i	−0.792745	−	0.609554i	$-0.791349\pi$
$877$	−25.2080	+	11.5121i	−0.851212	+	0.388736i	−0.0584675	+	0.998289i	$0.518621\pi$
$878$	−1.70667	−	0.266421i	−0.0575974	−	0.00899128i
$879$	−43.5538	−	50.2638i	−1.46903	−	1.69536i
$880$	39.1680	+	37.3933i	1.32035	+	1.26053i
$881$	19.6053	−	30.5065i	0.660520	−	1.02779i	−0.335788	−	0.941938i	$-0.609002\pi$
$881$	19.6053	−	30.5065i	0.660520	−	1.02779i	0.996308	−	0.0858520i	$-0.0273612\pi$
$882$	−5.45538	−	1.67354i	−0.183692	−	0.0563512i
$883$	−14.4808	+	16.7117i	−0.487317	+	0.562394i	−0.945147	−	0.326646i	$-0.894081\pi$
$883$	−14.4808	+	16.7117i	−0.487317	+	0.562394i	0.457830	+	0.889040i	$0.348627\pi$
$884$	18.2222	−	20.0326i	0.612880	−	0.673768i
$885$	11.5039	+	80.0113i	0.386699	+	2.68955i
$886$	−27.5334	+	7.72523i	−0.925003	+	0.259534i
$887$	8.91523	+	13.8724i	0.299344	+	0.465789i	0.958046	−	0.286616i	$-0.0925303\pi$
$887$	8.91523	+	13.8724i	0.299344	+	0.465789i	−0.658701	+	0.752404i	$0.728894\pi$
$888$	40.2030	+	13.4018i	1.34913	+	0.449734i
$889$	−1.29998	−	0.593683i	−0.0436000	−	0.0199115i
$890$	−14.7748	−	6.96392i	−0.495253	−	0.233431i
$891$	6.38595	+	21.7486i	0.213937	+	0.728604i
$892$	2.72151	−	4.01832i	0.0911229	−	0.134543i
$893$	−34.0132	−	9.98717i	−1.13821	−	0.334208i
$894$	8.33113	−	5.21325i	0.278635	−	0.174357i
$895$	−0.786669	+	5.47140i	−0.0262954	+	0.182889i
$896$	−21.9216	−	16.8591i	−0.732349	−	0.563224i
$897$	18.0869	−	36.2133i	0.603904	−	1.20913i
$898$	4.79181	+	36.4414i	0.159905	+	1.21607i
$899$	−0.368382	+	2.56215i	−0.0122862	+	0.0854526i
$900$	−25.4406	−	30.8317i	−0.848021	−	1.02772i
$901$	−5.53651	+	18.8556i	−0.184448	+	0.628172i
$902$	−30.7222	−	27.2763i	−1.02294	−	0.908201i
$903$	14.8065	+	50.4262i	0.492728	+	1.67808i
$904$	14.9409	+	2.70286i	0.496927	+	0.0898959i
$905$	−11.1875	+	24.4972i	−0.371885	+	0.814315i
$906$	−37.7819	+	57.2601i	−1.25522	+	1.90234i
$907$	−22.1634	−	34.4870i	−0.735925	−	1.14512i	−0.984308	−	0.176460i	$-0.943535\pi$
$907$	−22.1634	−	34.4870i	−0.735925	−	1.14512i	0.248383	−	0.968662i	$-0.420101\pi$
$908$	−22.7670	+	9.74098i	−0.755549	+	0.323266i
$909$	66.8810	−	9.61603i	2.21830	−	0.318944i
$910$	−26.8550	+	22.7089i	−0.890234	+	0.752794i
$911$	−7.23012	+	8.34400i	−0.239545	+	0.276449i	−0.862774	−	0.505590i	$-0.831275\pi$
$911$	−7.23012	+	8.34400i	−0.239545	+	0.276449i	0.623229	+	0.782039i	$0.285820\pi$
$912$	−74.9184	+	7.10661i	−2.48080	+	0.235323i
$913$	22.6756	+	14.5727i	0.750453	+	0.482287i
$914$	13.8775	−	6.13653i	0.459026	−	0.202978i
$915$	32.6988	+	37.7364i	1.08099	+	1.24753i
$916$	41.2783	+	0.995510i	1.36387	+	0.0328926i
$917$	−1.99238	−	4.36271i	−0.0657943	−	0.144069i
$918$	0.177599	−	14.7302i	0.00586164	−	0.486170i
$919$	30.0990			0.992873			0.496437	−	0.868073i	$-0.334642\pi$
$919$	30.0990			0.992873			0.496437	+	0.868073i	$0.334642\pi$
$920$	30.4618	+	30.4363i	1.00430	+	1.00345i
$921$	−64.4814			−2.12474
$922$	−0.511603	+	42.4329i	−0.0168488	+	1.39745i
$923$	11.7925	+	25.8220i	0.388155	+	0.849940i
$924$	1.32380	−	54.8908i	0.0435499	−	1.80578i
$925$	18.9168	+	21.8311i	0.621979	+	0.717803i
$926$	−10.6121	+	4.69261i	−0.348736	+	0.154209i
$927$	13.4360	+	8.63478i	0.441296	+	0.283604i
$928$	−0.982728	−	4.28745i	−0.0322596	−	0.140742i
$929$	−22.3490	+	25.7921i	−0.733247	+	0.846212i	−0.992833	−	0.119508i	$-0.961868\pi$
$929$	−22.3490	+	25.7921i	−0.733247	+	0.846212i	0.259586	+	0.965720i	$0.416414\pi$
$930$	−30.0552	+	25.4151i	−0.985548	+	0.833393i
$931$	−7.24836	+	1.04216i	−0.237556	+	0.0341553i
$932$	−22.2347	−	51.9678i	−0.728322	−	1.70226i
$933$	−3.70780	−	5.76945i	−0.121388	−	0.188883i
$934$	−23.0349	+	34.9103i	−0.753723	+	1.14230i
$935$	−23.7604	+	52.0281i	−0.777049	+	1.70150i
$936$	−35.1099	−	6.35151i	−1.14760	−	0.207606i
$937$	−9.96028	−	33.9216i	−0.325388	−	1.10817i	−0.946031	−	0.324077i	$-0.894946\pi$
$937$	−9.96028	−	33.9216i	−0.325388	−	1.10817i	0.620643	−	0.784094i	$-0.286872\pi$
$938$	−7.28883	−	6.47129i	−0.237989	−	0.211295i
$939$	5.77273	−	19.6601i	0.188386	−	0.641584i
$940$	24.3015	−	20.0523i	0.792629	−	0.654033i
$941$	−2.52913	+	17.5905i	−0.0824472	+	0.573433i	0.906162	+	0.422930i	$0.138998\pi$
$941$	−2.52913	+	17.5905i	−0.0824472	+	0.573433i	−0.988610	+	0.150503i	$0.951911\pi$
$942$	9.30494	+	70.7635i	0.303171	+	2.30560i
$943$	−23.9305	−	22.2404i	−0.779283	−	0.724248i
$944$	−33.5045	+	19.3159i	−1.09048	+	0.628680i
$945$	−2.72270	+	18.9368i	−0.0885695	+	0.616014i
$946$	41.7372	−	26.1173i	1.35699	−	0.849147i
$947$	5.71264	+	1.67738i	0.185636	+	0.0545076i	0.373229	−	0.927739i	$-0.378251\pi$
$947$	5.71264	+	1.67738i	0.185636	+	0.0545076i	−0.187593	+	0.982247i	$0.560069\pi$
$948$	19.6502	+	13.3086i	0.638208	+	0.432242i
$949$	−0.101598	−	0.346011i	−0.00329801	−	0.0112320i
$950$	−46.4011	−	21.8705i	−1.50545	−	0.709574i
$951$	79.2739	+	36.2032i	2.57063	+	1.17397i
$952$	9.23749	−	27.7109i	0.299389	−	0.898114i
$953$	16.5305	+	25.7219i	0.535475	+	0.833215i	0.998590	−	0.0530828i	$-0.0169047\pi$
$953$	16.5305	+	25.7219i	0.535475	+	0.833215i	−0.463115	+	0.886298i	$0.653268\pi$
$954$	24.9293	−	6.99456i	0.807115	−	0.226457i
$955$	−0.629192	−	4.37612i	−0.0203602	−	0.141608i
$956$	6.80651	+	6.19141i	0.220138	+	0.200245i
$957$	5.71903	−	6.60011i	0.184870	−	0.213351i
$958$	−17.1870	−	5.27245i	−0.555288	−	0.170345i
$959$	−7.59880	+	11.8240i	−0.245378	+	0.381816i
$960$	32.1096	−	58.6735i	1.03633	−	1.89368i
$961$	−13.0436	−	15.0532i	−0.420762	−	0.485586i
$962$	25.4758	+	3.97692i	0.821373	+	0.128221i
$963$	45.7493	−	20.8930i	1.47425	−	0.673268i
$964$	−4.30855	+	0.513785i	−0.138769	+	0.0165479i
$965$	−52.8294			−1.70064
$966$	2.04563	−	43.6140i	0.0658170	−	1.40326i
$967$		−	14.5552i		−	0.468063i	−0.972229	−	0.234032i	$-0.924808\pi$
$967$		−	14.5552i		−	0.468063i	0.972229	−	0.234032i	$-0.0751919\pi$
$968$	−19.6967	+	5.01746i	−0.633077	+	0.161267i
$969$	−33.0200	−	72.3037i	−1.06076	−	2.32273i
$970$	−18.2461	−	2.84832i	−0.585846	−	0.0914539i
$971$	−7.37428	+	6.38985i	−0.236652	+	0.205060i	−0.765111	−	0.643899i	$-0.777316\pi$
$971$	−7.37428	+	6.38985i	−0.236652	+	0.205060i	0.528458	+	0.848959i	$0.322770\pi$
$972$	36.5443	−	22.2592i	1.17216	−	0.713965i
$973$	−43.9799	−	28.2642i	−1.40993	−	0.906108i
$974$	−6.00226	+	19.5660i	−0.192325	+	0.626936i
$975$	−32.3895	−	28.0657i	−1.03730	−	0.898821i
$976$	−10.9600	+	21.2269i	−0.350821	+	0.679455i
$977$	13.3308	−	1.91668i	0.426491	−	0.0613202i	0.0742727	−	0.997238i	$-0.476336\pi$
$977$	13.3308	−	1.91668i	0.426491	−	0.0613202i	0.352219	+	0.935918i	$0.385427\pi$
$978$	−39.0968	+	10.9696i	−1.25018	+	0.350770i
$979$	13.0524	−	8.38826i	0.417156	−	0.268090i
$980$	2.84566	−	5.85339i	0.0909014	−	0.186980i
$981$	23.6527	−	51.7922i	0.755172	−	1.65360i
$982$	21.5910	−	45.8080i	0.688996	−	1.46179i
$983$	7.48055	−	2.19649i	0.238592	−	0.0700571i	−0.160250	−	0.987076i	$-0.551230\pi$
$983$	7.48055	−	2.19649i	0.238592	−	0.0700571i	0.398843	+	0.917019i	$0.369412\pi$
$984$	−22.7351	+	45.3659i	−0.724769	+	1.44621i
$985$	15.4705	−	52.6878i	0.492933	−	1.67877i
$986$	3.93846	−	2.46451i	0.125426	−	0.0784861i
$987$	−31.6207	−	4.54637i	−1.00650	−	0.144713i
$988$	−44.2313	+	11.8369i	−1.40719	+	0.376583i
$989$	33.6535	−	20.0080i	1.07012	−	0.636216i
$990$	74.7163	−	9.82471i	2.37464	−	0.312250i
$991$	33.4567	+	4.81034i	1.06279	+	0.152806i	0.651460	−	0.758683i	$-0.274157\pi$
$991$	33.4567	+	4.81034i	1.06279	+	0.152806i	0.411326	+	0.911488i	$0.365066\pi$
$992$	−16.6272	−	8.84056i	−0.527913	−	0.280688i
$993$	−12.8383	−	3.76968i	−0.407412	−	0.119627i
$994$	22.8973	+	20.3290i	0.726257	+	0.644798i
$995$	62.0061	−	18.2066i	1.96572	−	0.577189i
$996$	10.1471	−	31.7087i	0.321523	−	1.00473i
$997$	−9.61534	−	4.39118i	−0.304521	−	0.139070i	0.257294	−	0.966333i	$-0.417169\pi$
$997$	−9.61534	−	4.39118i	−0.304521	−	0.139070i	−0.561814	+	0.827263i	$0.689897\pi$
$998$	9.68979	+	6.39362i	0.306725	+	0.202386i
$999$	11.7996	−	7.58315i	0.373323	−	0.239920i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.107.1	yes	220
4.3	odd	2		736.2.r.a.15.20		220
8.3	odd	2	inner	184.2.j.a.107.21	yes	220
8.5	even	2		736.2.r.a.15.19		220
23.20	odd	22	inner	184.2.j.a.43.21	yes	220
92.43	even	22		736.2.r.a.687.19		220
184.43	even	22	inner	184.2.j.a.43.1	✓	220
184.181	odd	22		736.2.r.a.687.20		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.43.1	✓	220	184.43	even	22	inner
184.2.j.a.43.21	yes	220	23.20	odd	22	inner
184.2.j.a.107.1	yes	220	1.1	even	1	trivial
184.2.j.a.107.21	yes	220	8.3	odd	2	inner
736.2.r.a.15.19		220	8.5	even	2
736.2.r.a.15.20		220	4.3	odd	2
736.2.r.a.687.19		220	92.43	even	22
736.2.r.a.687.20		220	184.181	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 $\F_{q}$
Belyi maps

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

\(f(q)\)	\(=\)	\(q+(-1.41411 - 0.0170496i) q^{2} +(-1.09406 - 2.39566i) q^{3} +(1.99942 + 0.0482200i) q^{4} +(2.07888 + 2.39915i) q^{5} +(1.50628 + 3.40638i) q^{6} +(2.05633 + 1.32152i) q^{7} +(-2.82658 - 0.102278i) q^{8} +(-2.57763 + 2.97474i) q^{9} +(-2.89886 - 3.42811i) q^{10} +(4.22113 - 0.606906i) q^{11} +(-2.07197 - 4.84268i) q^{12} +(-1.73266 - 2.69608i) q^{13} +(-2.88534 - 1.90384i) q^{14} +(3.47313 - 7.60509i) q^{15} +(3.99535 + 0.192824i) q^{16} +(1.19030 + 4.05381i) q^{17} +(3.69577 - 4.16267i) q^{18} +(2.01257 - 6.85419i) q^{19} +(4.04085 + 4.89715i) q^{20} +(0.916167 - 6.37208i) q^{21} +(-5.97949 + 0.786264i) q^{22} +(-4.76790 + 0.516883i) q^{23} +(2.84742 + 6.88341i) q^{24} +(-0.722624 + 5.02596i) q^{25} +(2.40421 + 3.84209i) q^{26} +(2.36563 + 0.694612i) q^{27} +(4.04773 + 2.74143i) q^{28} +(0.219068 + 0.746078i) q^{29} +(-5.04105 + 10.6952i) q^{30} +(3.02811 + 1.38289i) q^{31} +(-5.64658 - 0.340794i) q^{32} +(-6.07211 - 9.44839i) q^{33} +(-1.61411 - 5.75283i) q^{34} +(1.10432 + 7.68071i) q^{35} +(-5.29721 + 5.82347i) q^{36} +(3.72550 - 4.29946i) q^{37} +(-2.96286 + 9.65828i) q^{38} +(-4.56324 + 7.10054i) q^{39} +(-5.63072 - 6.99401i) q^{40} +(4.46097 + 5.14823i) q^{41} +(-1.40420 + 8.99521i) q^{42} +(-7.42601 + 3.39134i) q^{43} +(8.46906 - 1.00992i) q^{44} -12.4954 q^{45} +(6.75115 - 0.649639i) q^{46} -4.96239i q^{47} +(-3.90921 - 9.78246i) q^{48} +(-0.425844 - 0.932469i) q^{49} +(1.10756 - 7.09494i) q^{50} +(8.40927 - 7.28668i) q^{51} +(-3.33431 - 5.47413i) q^{52} +(3.91295 + 2.51470i) q^{53} +(-3.33342 - 1.02259i) q^{54} +(10.2313 + 8.86543i) q^{55} +(-5.67720 - 3.94570i) q^{56} +(-18.6222 + 2.67747i) q^{57} +(-0.297067 - 1.05877i) q^{58} +(-8.13360 + 5.22715i) q^{59} +(7.31096 - 15.0383i) q^{60} +(-2.48100 + 5.43263i) q^{61} +(-4.25850 - 2.00719i) q^{62} +(-9.23164 + 2.71065i) q^{63} +(7.97908 + 0.578192i) q^{64} +(2.86630 - 9.76173i) q^{65} +(8.42554 + 13.4646i) q^{66} +(2.79093 + 0.401275i) q^{67} +(2.18444 + 8.16265i) q^{68} +(6.45464 + 10.8568i) q^{69} +(-1.43068 - 10.8802i) q^{70} +(-8.76749 - 1.26057i) q^{71} +(7.59012 - 8.14471i) q^{72} +(0.107965 + 0.0317015i) q^{73} +(-5.34158 + 6.01639i) q^{74} +(12.8311 - 3.76755i) q^{75} +(4.35449 - 13.6074i) q^{76} +(9.48205 + 4.33031i) q^{77} +(6.57399 - 9.96315i) q^{78} +(-3.79042 + 2.43595i) q^{79} +(7.84322 + 9.98630i) q^{80} +(0.756427 + 5.26107i) q^{81} +(-6.22053 - 7.35623i) q^{82} +(4.77682 + 4.13913i) q^{83} +(2.13906 - 12.6963i) q^{84} +(-7.25119 + 11.2831i) q^{85} +(10.5590 - 4.66913i) q^{86} +(1.54768 - 1.34107i) q^{87} +(-11.9934 + 1.28374i) q^{88} +(3.30946 - 1.51138i) q^{89} +(17.6699 + 0.213042i) q^{90} -7.83376i q^{91} +(-9.55794 + 0.803557i) q^{92} -8.76728i q^{93} +(-0.0846067 + 7.01736i) q^{94} +(20.6281 - 9.42055i) q^{95} +(5.36128 + 13.9001i) q^{96} +(3.10872 - 2.69372i) q^{97} +(0.586293 + 1.32587i) q^{98} +(-9.07511 + 14.1212i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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