LMFDB - Embedded newform 184.2.j.a.11.4

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			11.4
Character	$\chi$	$=$	184.11
Dual form			184.2.j.a.67.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.29360 + 0.571497i) q^{2} +(-0.353914 + 2.46153i) q^{3} +(1.34678 - 1.47857i) q^{4} +(-2.85901 + 0.839481i) q^{5} +(-0.948934 - 3.38648i) q^{6} +(-2.82277 - 3.25765i) q^{7} +(-0.897191 + 2.68236i) q^{8} +(-3.05539 - 0.897142i) q^{9} +(3.21864 - 2.71986i) q^{10} +(1.01887 - 1.58540i) q^{11} +(3.16290 + 3.83843i) q^{12} +(2.91912 + 2.52943i) q^{13} +(5.51326 + 2.60088i) q^{14} +(-1.05456 - 7.33463i) q^{15} +(-0.372357 - 3.98263i) q^{16} +(-2.32616 + 1.06232i) q^{17} +(4.46515 - 0.585605i) q^{18} +(-5.41094 - 2.47109i) q^{19} +(-2.60923 + 5.35785i) q^{20} +(9.01781 - 5.79539i) q^{21} +(-0.411960 + 2.63315i) q^{22} +(-4.79583 + 0.000929425i) q^{23} +(-6.28517 - 3.15779i) q^{24} +(3.26294 - 2.09696i) q^{25} +(-5.22172 - 1.60379i) q^{26} +(0.190472 - 0.417076i) q^{27} +(-8.61832 - 0.213672i) q^{28} +(-4.70331 + 2.14793i) q^{29} +(5.55590 + 8.88538i) q^{30} +(3.15400 - 0.453476i) q^{31} +(2.75774 + 4.93912i) q^{32} +(3.54191 + 3.06908i) q^{33} +(2.40199 - 2.70361i) q^{34} +(10.8051 + 6.94398i) q^{35} +(-5.44143 + 3.30936i) q^{36} +(-2.94905 - 0.865918i) q^{37} +(8.41180 + 0.104260i) q^{38} +(-7.25938 + 6.29029i) q^{39} +(0.313290 - 8.42206i) q^{40} +(1.48239 - 0.435268i) q^{41} +(-8.35335 + 12.6506i) q^{42} +(-10.3223 - 1.48412i) q^{43} +(-0.971927 - 3.64167i) q^{44} +9.48851 q^{45} +(6.20334 - 2.74201i) q^{46} +6.40668i q^{47} +(9.93514 + 0.492943i) q^{48} +(-1.64805 + 11.4624i) q^{49} +(-3.02251 + 4.57738i) q^{50} +(-1.79167 - 6.10187i) q^{51} +(7.67136 - 0.909539i) q^{52} +(2.93126 + 3.38285i) q^{53} +(-0.00803636 + 0.648382i) q^{54} +(-1.58206 + 5.38799i) q^{55} +(11.2707 - 4.64894i) q^{56} +(7.99768 - 12.4446i) q^{57} +(4.85665 - 5.46648i) q^{58} +(2.01443 - 2.32477i) q^{59} +(-12.2651 - 8.31891i) q^{60} +(1.58789 + 11.0440i) q^{61} +(-3.82084 + 2.38911i) q^{62} +(5.70207 + 12.4858i) q^{63} +(-6.39009 - 4.81318i) q^{64} +(-10.4692 - 4.78112i) q^{65} +(-6.33577 - 1.94596i) q^{66} +(7.01890 + 10.9216i) q^{67} +(-1.56211 + 4.87011i) q^{68} +(1.69503 - 11.8054i) q^{69} +(-17.9458 - 2.80766i) q^{70} +(-5.62998 - 8.76041i) q^{71} +(5.14772 - 7.39073i) q^{72} +(4.29765 - 9.41054i) q^{73} +(4.30975 - 0.565224i) q^{74} +(4.00693 + 8.77395i) q^{75} +(-10.9411 + 4.67245i) q^{76} +(-8.04072 + 1.15608i) q^{77} +(5.79582 - 12.2858i) q^{78} +(-1.60896 + 1.85684i) q^{79} +(4.40791 + 11.0738i) q^{80} +(-7.07737 - 4.54835i) q^{81} +(-1.66885 + 1.41024i) q^{82} +(1.05998 - 3.60995i) q^{83} +(3.57611 - 21.1386i) q^{84} +(5.75870 - 4.98995i) q^{85} +(14.2010 - 3.97930i) q^{86} +(-3.62262 - 12.3375i) q^{87} +(3.33848 + 4.15539i) q^{88} +(3.95139 + 0.568124i) q^{89} +(-12.2743 + 5.42265i) q^{90} -16.6495i q^{91} +(-6.45756 + 7.09224i) q^{92} +7.92414i q^{93} +(-3.66140 - 8.28765i) q^{94} +(17.5444 + 2.52250i) q^{95} +(-13.1338 + 5.04024i) q^{96} +(2.33594 + 7.95547i) q^{97} +(-4.41883 - 15.7696i) q^{98} +(-4.53538 + 3.92993i) 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 $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−1.29360	+	0.571497i	−0.914711	+	0.404110i
$2$	−1.29360	+	0.571497i	−0.914711	+	0.404110i
$3$	−0.353914	+	2.46153i	−0.204333	+	1.42116i	0.586906	+	0.809655i	$0.300346\pi$
$3$	−0.353914	+	2.46153i	−0.204333	+	1.42116i	−0.791238	+	0.611508i	$0.790563\pi$
$4$	1.34678	−	1.47857i	0.673391	−	0.739287i
$5$	−2.85901	+	0.839481i	−1.27859	+	0.375427i	−0.849382	−	0.527779i	$-0.823025\pi$
$5$	−2.85901	+	0.839481i	−1.27859	+	0.375427i	−0.429206	+	0.903207i	$0.641207\pi$
$6$	−0.948934	−	3.38648i	−0.387401	−	1.38253i
$7$	−2.82277	−	3.25765i	−1.06691	−	1.23128i	−0.971800	−	0.235808i	$-0.924226\pi$
$7$	−2.82277	−	3.25765i	−1.06691	−	1.23128i	−0.0951064	−	0.995467i	$-0.530319\pi$
$8$	−0.897191	+	2.68236i	−0.317205	+	0.948357i
$9$	−3.05539	−	0.897142i	−1.01846	−	0.299047i
$10$	3.21864	−	2.71986i	1.01782	−	0.860097i
$11$	1.01887	−	1.58540i	0.307202	−	0.478016i	−0.652986	−	0.757370i	$-0.726484\pi$
$11$	1.01887	−	1.58540i	0.307202	−	0.478016i	0.960188	+	0.279354i	$0.0901203\pi$
$12$	3.16290	+	3.83843i	0.913052	+	1.10806i
$13$	2.91912	+	2.52943i	0.809618	+	0.701538i	0.957804	−	0.287422i	$-0.0927981\pi$
$13$	2.91912	+	2.52943i	0.809618	+	0.701538i	−0.148186	+	0.988959i	$0.547344\pi$
$14$	5.51326	+	2.60088i	1.47348	+	0.695114i
$15$	−1.05456	−	7.33463i	−0.272287	−	1.89379i
$16$	−0.372357	−	3.98263i	−0.0930892	−	0.995658i
$17$	−2.32616	+	1.06232i	−0.564176	+	0.257650i	−0.677023	−	0.735962i	$-0.736730\pi$
$17$	−2.32616	+	1.06232i	−0.564176	+	0.257650i	0.112847	+	0.993612i	$0.464003\pi$
$18$	4.46515	−	0.585605i	1.05245	−	0.138028i
$19$	−5.41094	−	2.47109i	−1.24136	−	0.566908i	−0.316995	−	0.948427i	$-0.602674\pi$
$19$	−5.41094	−	2.47109i	−1.24136	−	0.566908i	−0.924361	+	0.381519i	$0.875401\pi$
$20$	−2.60923	+	5.35785i	−0.583441	+	1.19805i
$21$	9.01781	−	5.79539i	1.96785	−	1.26466i
$22$	−0.411960	+	2.63315i	−0.0878303	+	0.561389i
$23$	−4.79583		0.000929425i	−1.00000		0.000193799i
$23$	−4.79583		0.000929425i	−1.00000		0.000193799i
$24$	−6.28517	−	3.15779i	−1.28296	−	0.644581i
$25$	3.26294	−	2.09696i	0.652587	−	0.419392i
$26$	−5.22172	−	1.60379i	−1.02406	−	0.314530i
$27$	0.190472	−	0.417076i	0.0366564	−	0.0802662i
$28$	−8.61832	−	0.213672i	−1.62871	−	0.0403803i
$29$	−4.70331	+	2.14793i	−0.873383	+	0.398861i	−0.801105	−	0.598524i	$-0.795754\pi$
$29$	−4.70331	+	2.14793i	−0.873383	+	0.398861i	−0.0722782	+	0.997385i	$0.523027\pi$
$30$	5.55590	+	8.88538i	1.01436	+	1.62224i
$31$	3.15400	−	0.453476i	0.566474	−	0.0814467i	0.146873	−	0.989155i	$-0.453079\pi$
$31$	3.15400	−	0.453476i	0.566474	−	0.0814467i	0.419601	+	0.907709i	$0.362170\pi$
$32$	2.75774	+	4.93912i	0.487505	+	0.873120i
$33$	3.54191	+	3.06908i	0.616567	+	0.534259i
$34$	2.40199	−	2.70361i	0.411939	−	0.463664i
$35$	10.8051	+	6.94398i	1.82639	+	1.17375i
$36$	−5.44143	+	3.30936i	−0.906905	+	0.551559i
$37$	−2.94905	−	0.865918i	−0.484820	−	0.142356i	0.0301827	−	0.999544i	$-0.490391\pi$
$37$	−2.94905	−	0.865918i	−0.484820	−	0.142356i	−0.515003	+	0.857188i	$0.672209\pi$
$38$	8.41180	+	0.104260i	1.36457	+	0.0169132i
$39$	−7.25938	+	6.29029i	−1.16243	+	1.00725i
$40$	0.313290	−	8.42206i	0.0495355	−	1.33164i
$41$	1.48239	−	0.435268i	0.231510	−	0.0679774i	−0.163920	−	0.986474i	$-0.552414\pi$
$41$	1.48239	−	0.435268i	0.231510	−	0.0679774i	0.395430	+	0.918496i	$0.370596\pi$
$42$	−8.35335	+	12.6506i	−1.28895	+	1.95202i
$43$	−10.3223	−	1.48412i	−1.57413	−	0.226326i	−0.700766	−	0.713391i	$-0.747158\pi$
$43$	−10.3223	−	1.48412i	−1.57413	−	0.226326i	−0.873366	+	0.487065i	$0.838067\pi$
$44$	−0.971927	−	3.64167i	−0.146524	−	0.549002i
$45$	9.48851			1.41446
$46$	6.20334	−	2.74201i	0.914632	−	0.404287i
$47$			6.40668i			0.934510i	0.884123	+	0.467255i	$0.154757\pi$
$47$			6.40668i			0.934510i	−0.884123	+	0.467255i	$0.845243\pi$
$48$	9.93514	+	0.492943i	1.43401	+	0.0711502i
$49$	−1.64805	+	11.4624i	−0.235435	+	1.63749i
$50$	−3.02251	+	4.57738i	−0.427448	+	0.647339i
$51$	−1.79167	−	6.10187i	−0.250884	−	0.854433i
$52$	7.67136	−	0.909539i	1.06383	−	0.126130i
$53$	2.93126	+	3.38285i	0.402639	+	0.464671i	0.920470	−	0.390812i	$-0.127806\pi$
$53$	2.93126	+	3.38285i	0.402639	+	0.464671i	−0.517831	+	0.855483i	$0.673260\pi$
$54$	−0.00803636	+	0.648382i	−0.00109361	+	0.0882336i
$55$	−1.58206	+	5.38799i	−0.213325	+	0.726517i
$56$	11.2707	−	4.64894i	1.50612	−	0.621241i
$57$	7.99768	−	12.4446i	1.05932	−	1.64833i
$58$	4.85665	−	5.46648i	0.637709	−	0.717785i
$59$	2.01443	−	2.32477i	0.262256	−	0.302660i	−0.609316	−	0.792928i	$-0.708556\pi$
$59$	2.01443	−	2.32477i	0.262256	−	0.302660i	0.871572	+	0.490268i	$0.163101\pi$
$60$	−12.2651	−	8.31891i	−1.58341	−	1.07397i
$61$	1.58789	+	11.0440i	0.203309	+	1.41405i	0.794378	+	0.607424i	$0.207797\pi$
$61$	1.58789	+	11.0440i	0.203309	+	1.41405i	−0.591069	+	0.806621i	$0.701294\pi$
$62$	−3.82084	+	2.38911i	−0.485247	+	0.303418i
$63$	5.70207	+	12.4858i	0.718393	+	1.57306i
$64$	−6.39009	−	4.81318i	−0.798762	−	0.601647i
$65$	−10.4692	−	4.78112i	−1.29854	−	0.593025i
$66$	−6.33577	−	1.94596i	−0.779880	−	0.239531i
$67$	7.01890	+	10.9216i	0.857495	+	1.33429i	0.941218	+	0.337799i	$0.109682\pi$
$67$	7.01890	+	10.9216i	0.857495	+	1.33429i	−0.0837239	+	0.996489i	$0.526681\pi$
$68$	−1.56211	+	4.87011i	−0.189433	+	0.590587i
$69$	1.69503	−	11.8054i	0.204057	−	1.42120i
$70$	−17.9458	−	2.80766i	−2.14494	−	0.335579i
$71$	−5.62998	−	8.76041i	−0.668155	−	1.03967i	−0.995500	−	0.0947648i	$-0.969790\pi$
$71$	−5.62998	−	8.76041i	−0.668155	−	1.03967i	0.327344	−	0.944905i	$-0.393846\pi$
$72$	5.14772	−	7.39073i	0.606665	−	0.871006i
$73$	4.29765	−	9.41054i	0.503002	−	1.10142i	−0.472480	−	0.881341i	$-0.656641\pi$
$73$	4.29765	−	9.41054i	0.503002	−	1.10142i	0.975482	−	0.220079i	$-0.0706316\pi$
$74$	4.30975	−	0.565224i	0.500998	−	0.0657059i
$75$	4.00693	+	8.77395i	0.462680	+	1.01313i
$76$	−10.9411	+	4.67245i	−1.25503	+	0.535967i
$77$	−8.04072	+	1.15608i	−0.916325	+	0.131748i
$78$	5.79582	−	12.2858i	0.656248	−	1.39109i
$79$	−1.60896	+	1.85684i	−0.181023	+	0.208911i	−0.839007	−	0.544120i	$-0.816864\pi$
$79$	−1.60896	+	1.85684i	−0.181023	+	0.208911i	0.657985	+	0.753031i	$0.271409\pi$
$80$	4.40791	+	11.0738i	0.492820	+	1.23809i
$81$	−7.07737	−	4.54835i	−0.786374	−	0.505372i
$82$	−1.66885	+	1.41024i	−0.184294	+	0.155735i
$83$	1.05998	−	3.60995i	0.116347	−	0.396243i	−0.880642	−	0.473783i	$-0.842888\pi$
$83$	1.05998	−	3.60995i	0.116347	−	0.396243i	0.996989	+	0.0775396i	$0.0247064\pi$
$84$	3.57611	−	21.1386i	0.390185	−	2.30641i
$85$	5.75870	−	4.98995i	0.624619	−	0.541236i
$86$	14.2010	−	3.97930i	1.53134	−	0.429099i
$87$	−3.62262	−	12.3375i	−0.388386	−	1.32272i
$88$	3.33848	+	4.15539i	0.355884	+	0.442966i
$89$	3.95139	+	0.568124i	0.418847	+	0.0602210i	0.348516	−	0.937303i	$-0.386686\pi$
$89$	3.95139	+	0.568124i	0.418847	+	0.0602210i	0.0703303	+	0.997524i	$0.477595\pi$
$90$	−12.2743	+	5.42265i	−1.29382	+	0.571598i
$91$		−	16.6495i		−	1.74534i
$92$	−6.45756	+	7.09224i	−0.673248	+	0.739417i
$93$			7.92414i			0.821695i
$94$	−3.66140	−	8.28765i	−0.377644	−	0.854806i
$95$	17.5444	+	2.52250i	1.80001	+	0.258803i
$96$	−13.1338	+	5.04024i	−1.34046	+	0.514417i
$97$	2.33594	+	7.95547i	0.237179	+	0.807756i	0.988939	+	0.148320i	$0.0473866\pi$
$97$	2.33594	+	7.95547i	0.237179	+	0.807756i	−0.751761	+	0.659436i	$0.770795\pi$
$98$	−4.41883	−	15.7696i	−0.446370	−	1.59297i
$99$	−4.53538	+	3.92993i	−0.455823	+	0.394973i
$100$	1.29395	−	7.64864i	0.129395	−	0.764864i
$101$	−1.21149	+	4.12594i	−0.120547	+	0.410547i	−0.997551	−	0.0699363i	$-0.977720\pi$
$101$	−1.21149	+	4.12594i	−0.120547	+	0.410547i	0.877004	+	0.480483i	$0.159539\pi$
$102$	5.80490	+	6.86942i	0.574771	+	0.680174i
$103$	0.338029	+	0.217238i	0.0333070	+	0.0214051i	0.557188	−	0.830386i	$-0.311880\pi$
$103$	0.338029	+	0.217238i	0.0333070	+	0.0214051i	−0.523881	+	0.851791i	$0.675516\pi$
$104$	−9.40385	+	5.56074i	−0.922123	+	0.545275i
$105$	−20.9169	+	24.1394i	−2.04128	+	2.35576i
$106$	−5.72516	−	2.70084i	−0.556076	−	0.262329i
$107$	−8.12040	+	1.16754i	−0.785029	+	0.112870i	−0.523161	−	0.852234i	$-0.675247\pi$
$107$	−8.12040	+	1.16754i	−0.785029	+	0.112870i	−0.261868	+	0.965104i	$0.584338\pi$
$108$	−0.360152	−	0.843337i	−0.0346557	−	0.0811501i
$109$	−1.77081	−	3.87753i	−0.169613	−	0.371400i	0.805669	−	0.592366i	$-0.201806\pi$
$109$	−1.77081	−	3.87753i	−0.169613	−	0.371400i	−0.975281	+	0.220966i	$0.929079\pi$
$110$	−1.03268	−	7.87403i	−0.0984622	−	0.750759i
$111$	3.17519	−	6.95270i	0.301376	−	0.659921i
$112$	−11.9229	+	12.4551i	−1.12661	+	1.17689i
$113$	1.86154	+	2.89662i	0.175119	+	0.272491i	0.917707	−	0.397258i	$-0.130038\pi$
$113$	1.86154	+	2.89662i	0.175119	+	0.272491i	−0.742588	+	0.669749i	$0.766402\pi$
$114$	−3.23369	+	20.6690i	−0.302863	+	1.93583i
$115$	13.7105	−	4.02867i	1.27851	−	0.375675i
$116$	−3.15846	+	9.84699i	−0.293256	+	0.914270i
$117$	−6.64977	−	10.3472i	−0.614772	−	0.956603i
$118$	−1.27725	+	4.15856i	−0.117581	+	0.382826i
$119$	10.0269	+	4.57912i	0.919161	+	0.419767i
$120$	20.6203	+	3.75186i	1.88236	+	0.342496i
$121$	3.09418	+	6.77531i	0.281289	+	0.615937i
$122$	−8.36574	−	13.3791i	−0.757398	−	1.21128i
$123$	0.546786	+	3.80298i	0.0493020	+	0.342903i
$124$	3.57725	−	5.27415i	0.321246	−	0.473632i
$125$	2.18806	−	2.52516i	0.195706	−	0.225857i
$126$	−14.5118	−	12.8929i	−1.29281	−	1.14859i
$127$	10.8112	−	16.8225i	0.959338	−	1.49276i	0.0915644	−	0.995799i	$-0.470813\pi$
$127$	10.8112	−	16.8225i	0.959338	−	1.49276i	0.867774	−	0.496960i	$-0.165550\pi$
$128$	11.0169	+	2.57439i	0.973767	+	0.227546i
$129$	7.30640	−	24.8833i	0.643292	−	2.19085i
$130$	16.2753	+	0.201724i	1.42744	+	0.0176924i
$131$	−5.35133	−	6.17577i	−0.467548	−	0.539579i	0.472180	−	0.881502i	$-0.343467\pi$
$131$	−5.35133	−	6.17577i	−0.467548	−	0.539579i	−0.939728	+	0.341923i	$0.888922\pi$
$132$	9.30804	−	1.10359i	0.810161	−	0.0960550i
$133$	7.22388	+	24.6023i	0.626390	+	2.13329i
$134$	−15.3213	−	10.1169i	−1.32356	−	0.873965i
$135$	−0.194434	+	1.35232i	−0.0167342	+	0.116389i
$136$	−0.762516	−	7.19269i	−0.0653852	−	0.616768i
$137$		−	0.695946i		−	0.0594587i	−0.999558	−	0.0297294i	$-0.990535\pi$
$137$		−	0.695946i		−	0.0594587i	0.999558	−	0.0297294i	$-0.00946454\pi$
$138$	4.55408	+	16.2401i	0.387669	+	1.38245i
$139$	6.91208			0.586275			0.293137	−	0.956070i	$-0.405301\pi$
$139$	6.91208			0.586275			0.293137	+	0.956070i	$0.405301\pi$
$140$	24.8192	−	6.62403i	2.09761	−	0.559832i
$141$	−15.7702	−	2.26741i	−1.32809	−	0.190951i
$142$	12.2895	+	8.11492i	1.03131	+	0.680989i
$143$	6.98437	−	2.05080i	0.584062	−	0.171496i
$144$	−2.43529	+	12.5025i	−0.202941	+	1.04188i
$145$	11.6437	−	10.0893i	0.966954	−	0.837870i
$146$	−0.181326	+	14.6295i	−0.0150066	+	1.21075i
$147$	−27.6318	−	8.11343i	−2.27903	−	0.669184i
$148$	−5.25205	+	3.19418i	−0.431716	+	0.262560i
$149$	−14.7984	−	9.51034i	−1.21233	−	0.779117i	−0.231283	−	0.972887i	$-0.574292\pi$
$149$	−14.7984	−	9.51034i	−1.21233	−	0.779117i	−0.981047	+	0.193769i	$0.937929\pi$
$150$	−10.1976	−	9.06000i	−0.832634	−	0.739746i
$151$	12.2424	+	10.6081i	0.996276	+	0.863278i	0.990612	−	0.136706i	$-0.0436514\pi$
$151$	12.2424	+	10.6081i	0.996276	+	0.863278i	0.00566465	+	0.999984i	$0.498197\pi$
$152$	11.4830	−	12.2970i	0.931395	−	0.997422i
$153$	8.06036	−	1.15890i	0.651641	−	0.0936919i
$154$	9.74074	−	6.09075i	0.784932	−	0.490807i
$155$	−8.63662	+	3.94421i	−0.693710	+	0.316807i
$156$	−0.476150	+	19.2052i	−0.0381225	+	1.53764i
$157$	−4.55594	+	9.97612i	−0.363604	+	0.796181i	0.636094	+	0.771611i	$0.280549\pi$
$157$	−4.55594	+	9.97612i	−0.363604	+	0.796181i	−0.999698	+	0.0245700i	$0.992178\pi$
$158$	1.02017	−	3.32152i	0.0811602	−	0.264246i
$159$	−9.36440	+	6.01814i	−0.742645	+	0.477269i
$160$	−12.0307	−	11.8059i	−0.951110	−	0.933339i
$161$	13.5405	+	15.6205i	1.06714	+	1.23107i
$162$	11.7546	+	1.83903i	0.923530	+	0.144488i
$163$	1.49007	−	0.957607i	0.116711	−	0.0750056i	−0.480983	−	0.876730i	$-0.659720\pi$
$163$	1.49007	−	0.957607i	0.116711	−	0.0750056i	0.597694	+	0.801724i	$0.296084\pi$
$164$	1.35287	−	2.77803i	0.105642	−	0.216927i
$165$	−12.7028	−	5.80117i	−0.988911	−	0.451620i
$166$	0.691894	+	5.27559i	0.0537014	+	0.409465i
$167$	−3.63715	+	1.66103i	−0.281451	+	0.128534i	−0.551139	−	0.834413i	$-0.685807\pi$
$167$	−3.63715	+	1.66103i	−0.281451	+	0.128534i	0.269688	+	0.962948i	$0.413079\pi$
$168$	7.45462	+	29.3886i	0.575137	+	2.26738i
$169$	0.273141	+	1.89974i	0.0210108	+	0.146134i
$170$	−4.59770	+	9.74606i	−0.352627	+	0.747489i
$171$	14.3156	+	12.4045i	1.09474	+	0.948598i
$172$	−16.0962	+	13.2634i	−1.22733	+	1.01133i
$173$	0.371408	−	0.577922i	0.0282376	−	0.0439386i	−0.826848	−	0.562426i	$-0.809868\pi$
$173$	0.371408	−	0.577922i	0.0282376	−	0.0439386i	0.855085	+	0.518487i	$0.173505\pi$
$174$	11.7371	+	13.8894i	0.889785	+	1.05296i
$175$	−16.0417	−	4.71026i	−1.21264	−	0.356062i
$176$	−6.69344	−	3.46747i	−0.504537	−	0.261370i
$177$	5.00956	+	5.78134i	0.376542	+	0.434552i
$178$	−5.43619	+	1.52329i	−0.407459	+	0.114175i
$179$	−10.0556	+	2.95260i	−0.751594	+	0.220688i	−0.635022	−	0.772494i	$-0.719009\pi$
$179$	−10.0556	+	2.95260i	−0.751594	+	0.220688i	−0.116572	+	0.993182i	$0.537191\pi$
$180$	12.7789	−	14.0295i	0.952487	−	1.04569i
$181$	0.757085	−	5.26564i	0.0562737	−	0.391392i	−0.942146	−	0.335202i	$-0.891196\pi$
$181$	0.757085	−	5.26564i	0.0562737	−	0.391392i	0.998420	−	0.0561905i	$-0.0178954\pi$
$182$	9.51512	+	21.5377i	0.705307	+	1.59648i
$183$	−27.7472			−2.05113
$184$	4.30029	−	12.8650i	0.317021	−	0.948418i
$185$	9.15827			0.673330
$186$	−4.52862	−	10.2506i	−0.332055	−	0.751613i
$187$	−0.685859	+	4.77026i	−0.0501550	+	0.348836i
$188$	9.47274	+	8.62840i	0.690871	+	0.629291i
$189$	−1.89634	+	0.556817i	−0.137939	+	0.0405025i
$190$	−24.1369	+	6.76346i	−1.75108	+	0.490673i
$191$	2.88293	+	3.32708i	0.208601	+	0.240739i	0.850403	−	0.526132i	$-0.176358\pi$
$191$	2.88293	+	3.32708i	0.208601	+	0.240739i	−0.641802	+	0.766871i	$0.721813\pi$
$192$	14.1093	−	14.0259i	1.01825	−	1.01224i
$193$	−23.4251	−	6.87822i	−1.68617	−	0.495105i	−0.708585	−	0.705626i	$-0.750666\pi$
$193$	−23.4251	−	6.87822i	−1.68617	−	0.495105i	−0.977589	+	0.210520i	$0.932484\pi$
$194$	−7.56829	−	8.95619i	−0.543372	−	0.643017i
$195$	15.4741	−	24.0781i	1.10812	−	1.72427i
$196$	14.7285	+	17.8741i	1.05203	+	1.27672i
$197$	−15.1102	−	13.0931i	−1.07656	−	0.932845i	−0.0786144	−	0.996905i	$-0.525050\pi$
$197$	−15.1102	−	13.0931i	−1.07656	−	0.932845i	−0.997946	+	0.0640602i	$0.979595\pi$
$198$	3.62101	−	7.67570i	0.257334	−	0.545488i
$199$	3.37828	+	23.4964i	0.239480	+	1.66562i	0.654693	+	0.755895i	$0.272798\pi$
$199$	3.37828	+	23.4964i	0.239480	+	1.66562i	−0.415214	+	0.909724i	$0.636293\pi$
$200$	2.69732	+	10.6337i	0.190730	+	0.751919i
$201$	−29.3679	+	13.4119i	−2.07146	+	0.946002i
$202$	−0.790791	−	6.02966i	−0.0556399	−	0.424246i
$203$	20.2736	+	9.25863i	1.42293	+	0.649828i
$204$	−11.4350	−	5.56877i	−0.800614	−	0.389892i
$205$	−3.87275	+	2.48887i	−0.270485	+	0.173830i
$206$	−0.561424	−	0.0878357i	−0.0391163	−	0.00611981i
$207$	14.6539	+	4.29970i	1.01852	+	0.298850i
$208$	8.98683	−	12.5676i	0.623125	−	0.871408i
$209$	−9.43074	+	6.06077i	−0.652338	+	0.419232i
$210$	13.2624	−	43.1805i	0.915193	−	2.97974i
$211$	−6.47634	+	14.1812i	−0.445850	+	0.976274i	0.544638	+	0.838671i	$0.316667\pi$
$211$	−6.47634	+	14.1812i	−0.445850	+	0.976274i	−0.990487	+	0.137603i	$0.956060\pi$
$212$	8.94956	+	0.221885i	0.614658	+	0.0152391i
$213$	23.5565	−	10.7579i	1.61407	−	0.737120i
$214$	9.83728	−	6.15111i	0.672462	−	0.420481i
$215$	30.7574	−	4.42224i	2.09763	−	0.301594i
$216$	0.947856	+	0.885111i	0.0644935	+	0.0602242i
$217$	−10.3803	−	8.99455i	−0.704658	−	0.610590i
$218$	4.50671	+	4.00395i	0.305233	+	0.271181i
$219$	21.6433	+	13.9093i	1.46252	+	0.939904i
$220$	5.83586	+	9.59564i	0.393453	+	0.646938i
$221$	−9.47739	−	2.78281i	−0.637518	−	0.187192i
$222$	−0.133967	+	10.8086i	−0.00899129	+	0.725426i
$223$	−7.47396	+	6.47622i	−0.500493	+	0.433680i	−0.868165	−	0.496276i	$-0.834700\pi$
$223$	−7.47396	+	6.47622i	−0.500493	+	0.433680i	0.367672	+	0.929956i	$0.380155\pi$
$224$	8.30543	−	22.9257i	0.554930	−	1.53179i
$225$	−11.8508	+	3.47971i	−0.790053	+	0.231981i
$226$	−4.06350	−	2.68319i	−0.270300	−	0.178483i
$227$	−22.3242	−	3.20973i	−1.48171	−	0.213037i	−0.646475	−	0.762935i	$-0.723758\pi$
$227$	−22.3242	−	3.20973i	−1.48171	−	0.213037i	−0.835232	+	0.549897i	$0.814667\pi$
$228$	−7.62917	−	28.5854i	−0.505254	−	1.89311i
$229$	2.84190			0.187798			0.0938990	−	0.995582i	$-0.470067\pi$
$229$	2.84190			0.187798			0.0938990	+	0.995582i	$0.470067\pi$
$230$	−15.4335	+	13.0470i	−1.01766	+	0.860294i
$231$		−	20.2016i		−	1.32917i
$232$	−1.54175	−	14.5431i	−0.101221	−	0.954800i
$233$	2.17591	−	15.1338i	0.142549	−	0.991450i	−0.785466	−	0.618905i	$-0.787576\pi$
$233$	2.17591	−	15.1338i	0.142549	−	0.991450i	0.928014	−	0.372544i	$-0.121514\pi$
$234$	14.5155	+	9.58483i	0.948911	+	0.626580i
$235$	−5.37828	−	18.3167i	−0.350840	−	1.19485i
$236$	−0.724353	−	6.10944i	−0.0471513	−	0.397691i
$237$	−4.00124	−	4.61767i	−0.259908	−	0.299950i
$238$	−15.5877	−	0.193201i	−1.01040	−	0.0125234i
$239$	−0.620136	+	2.11199i	−0.0401132	+	0.136613i	−0.977115	−	0.212711i	$-0.931771\pi$
$239$	−0.620136	+	2.11199i	−0.0401132	+	0.136613i	0.937002	+	0.349324i	$0.113589\pi$
$240$	−28.8185	+	6.93103i	−1.86022	+	0.447396i
$241$	9.91160	−	15.4227i	0.638462	−	0.993466i	−0.359712	−	0.933063i	$-0.617125\pi$
$241$	9.91160	−	15.4227i	0.638462	−	0.993466i	0.998174	−	0.0604030i	$-0.0192386\pi$
$242$	−7.87469	−	6.99620i	−0.506204	−	0.449733i
$243$	14.6014	−	16.8510i	0.936683	−	1.08099i
$244$	18.4680	+	12.5261i	1.18229	+	0.801902i
$245$	−4.91070	−	34.1547i	−0.313733	−	2.18206i
$246$	−2.88071	−	4.60703i	−0.183668	−	0.293734i
$247$	−9.54472	−	20.9000i	−0.607316	−	1.32984i
$248$	−1.61335	+	8.86700i	−0.102448	+	0.563055i
$249$	8.51084	+	3.88677i	0.539353	+	0.246314i
$250$	−1.38735	+	4.51701i	−0.0877437	+	0.285681i
$251$	3.34948	+	5.21189i	0.211417	+	0.328972i	0.930725	−	0.365720i	$-0.119177\pi$
$251$	3.34948	+	5.21189i	0.211417	+	0.328972i	−0.719308	+	0.694692i	$0.755541\pi$
$252$	26.1406	+	8.38471i	1.64670	+	0.528187i
$253$	−4.88487	+	7.60425i	−0.307109	+	0.478075i
$254$	−4.37128	+	27.9401i	−0.274278	+	1.75312i
$255$	10.2448	+	15.9412i	0.641554	+	0.998278i
$256$	−15.7227	+	2.96592i	−0.982669	+	0.185370i
$257$	−5.89884	+	12.9167i	−0.367960	+	0.805719i	0.631578	+	0.775312i	$0.282408\pi$
$257$	−5.89884	+	12.9167i	−0.367960	+	0.805719i	−0.999538	+	0.0304068i	$0.990320\pi$
$258$	4.76921	+	36.3645i	0.296918	+	2.26396i
$259$	5.50362	+	12.0512i	0.341978	+	0.748828i
$260$	−21.1690	+	9.04034i	−1.31284	+	0.560658i
$261$	16.2974	−	2.34322i	1.00879	−	0.145041i
$262$	10.4519	+	4.93068i	0.645720	+	0.304618i
$263$	2.89472	−	3.34068i	0.178496	−	0.205995i	−0.659450	−	0.751748i	$-0.729211\pi$
$263$	2.89472	−	3.34068i	0.178496	−	0.205995i	0.837946	+	0.545753i	$0.183756\pi$
$264$	−11.4102	+	6.74712i	−0.702246	+	0.415256i
$265$	−11.2203	−	7.21087i	−0.689260	−	0.442960i
$266$	−23.4049	−	27.6970i	−1.43505	−	1.69821i
$267$	−2.79691	+	9.52539i	−0.171168	+	0.582944i
$268$	25.6013	+	4.33108i	1.56385	+	0.264563i
$269$	18.0208	−	15.6151i	1.09874	−	0.952068i	0.0996676	−	0.995021i	$-0.468222\pi$
$269$	18.0208	−	15.6151i	1.09874	−	0.952068i	0.999077	+	0.0429531i	$0.0136766\pi$
$270$	−0.521328	−	1.86048i	−0.0317270	−	0.113225i
$271$	−1.51628	−	5.16399i	−0.0921077	−	0.313690i	0.900533	−	0.434788i	$-0.143177\pi$
$271$	−1.51628	−	5.16399i	−0.0921077	−	0.313690i	−0.992641	+	0.121098i	$0.961358\pi$
$272$	5.09699	+	8.86866i	0.309050	+	0.537742i
$273$	40.9831	+	5.89248i	2.48041	+	0.356629i
$274$	0.397731	+	0.900273i	0.0240278	+	0.0543875i
$275$		−	7.30960i		−	0.440785i
$276$	−15.1723	−	18.4055i	−0.913266	−	1.10788i
$277$		−	25.1453i		−	1.51083i	−0.655245	−	0.755417i	$-0.727435\pi$
$277$		−	25.1453i		−	1.51083i	0.655245	−	0.755417i	$-0.272565\pi$
$278$	−8.94143	+	3.95023i	−0.536272	+	0.236919i
$279$	−10.0435	−	1.44404i	−0.601289	−	0.0864523i
$280$	−28.3205	+	22.7529i	−1.69247	+	1.35975i
$281$	4.22539	+	14.3904i	0.252066	+	0.858457i	0.984164	+	0.177258i	$0.0567228\pi$
$281$	4.22539	+	14.3904i	0.252066	+	0.858457i	−0.732099	+	0.681199i	$0.761459\pi$
$282$	21.6961	−	6.07952i	1.29198	−	0.362030i
$283$	−7.16789	+	6.21101i	−0.426087	+	0.369206i	−0.841346	−	0.540497i	$-0.818236\pi$
$283$	−7.16789	+	6.21101i	−0.426087	+	0.369206i	0.415259	+	0.909703i	$0.363691\pi$
$284$	−20.5353	−	3.47404i	−1.21854	−	0.206146i
$285$	−12.4184	+	42.2932i	−0.735603	+	2.50523i
$286$	−7.86293	+	6.64445i	−0.464945	+	0.392895i
$287$	−5.60238	−	3.60043i	−0.330698	−	0.212527i
$288$	−3.99488	−	17.5650i	−0.235400	−	1.03503i
$289$	−6.85015	+	7.90550i	−0.402950	+	0.465029i
$290$	−9.29620	+	19.7058i	−0.545892	+	1.15716i
$291$	−20.4093	+	2.93442i	−1.19642	+	0.172019i
$292$	−8.12618	−	19.0283i	−0.475549	−	1.11355i
$293$	4.23911	+	9.28235i	0.247651	+	0.542281i	0.992107	−	0.125391i	$-0.0400184\pi$
$293$	4.23911	+	9.28235i	0.247651	+	0.542281i	−0.744456	+	0.667671i	$0.767291\pi$
$294$	40.3812	−	5.29600i	2.35508	−	0.308869i
$295$	−3.80766	+	8.33762i	−0.221691	+	0.485435i
$296$	4.96856	−	7.13351i	0.288792	−	0.414627i
$297$	−0.467164	−	0.726922i	−0.0271076	−	0.0421803i
$298$	24.5782	+	3.84531i	1.42378	+	0.222753i
$299$	−14.0020	−	12.1280i	−0.809754	−	0.701381i
$300$	18.3694	+	5.89206i	1.06056	+	0.340178i
$301$	24.3026	+	37.8156i	1.40078	+	2.17966i
$302$	−21.8993	−	6.72613i	−1.26016	−	0.387045i
$303$	−9.72736	−	4.44234i	−0.558822	−	0.255206i
$304$	−7.82666	+	22.4699i	−0.448890	+	1.28874i
$305$	−13.8111	−	30.2420i	−0.790820	−	1.73165i
$306$	−9.76453	+	6.10562i	−0.558201	+	0.349035i
$307$	1.67347	+	11.6392i	0.0955097	+	0.664285i	0.980186	+	0.198079i	$0.0634703\pi$
$307$	1.67347	+	11.6392i	0.0955097	+	0.664285i	−0.884676	+	0.466206i	$0.845621\pi$
$308$	−9.11974	+	13.4458i	−0.519646	+	0.766144i
$309$	−0.654371	+	0.755185i	−0.0372259	+	0.0429610i
$310$	8.91819	−	10.0380i	0.506519	−	0.570121i
$311$	−14.2159	+	22.1203i	−0.806108	+	1.25433i	0.157636	+	0.987497i	$0.449613\pi$
$311$	−14.2159	+	22.1203i	−0.806108	+	1.25433i	−0.963743	+	0.266831i	$0.914024\pi$
$312$	−10.3598	−	25.1159i	−0.586506	−	1.42191i
$313$	−2.61265	+	8.89787i	−0.147676	+	0.502937i	−0.999792	−	0.0204158i	$-0.993501\pi$
$313$	−2.61265	+	8.89787i	−0.147676	+	0.502937i	0.852116	+	0.523353i	$0.175319\pi$
$314$	0.192224	−	15.5088i	0.0108478	−	0.875211i
$315$	−26.7839	−	30.9102i	−1.50910	−	1.74159i
$316$	0.578555	+	4.87973i	0.0325463	+	0.274506i
$317$	−4.31455	−	14.6940i	−0.242329	−	0.825297i	−0.987391	−	0.158301i	$-0.949398\pi$
$317$	−4.31455	−	14.6940i	−0.242329	−	0.825297i	0.745062	−	0.666995i	$-0.232420\pi$
$318$	8.67441	−	13.1368i	0.486437	−	0.736673i
$319$	−1.38676	+	9.64510i	−0.0776434	+	0.540022i
$320$	22.3099	+	8.39656i	1.24716	+	0.469382i
$321$		−	20.4018i		−	1.13872i
$322$	−26.4431	−	12.4682i	−1.47362	−	0.694828i
$323$	15.2118			0.846407
$324$	−16.2567	+	4.33877i	−0.903152	+	0.241043i
$325$	14.8290	+	2.13209i	0.822566	+	0.118267i
$326$	−1.38027	+	2.09032i	−0.0764463	+	0.115772i
$327$	10.1714	−	2.98658i	0.562478	−	0.165158i
$328$	−0.162440	+	4.36681i	−0.00896923	+	0.241117i
$329$	20.8707	−	18.0846i	1.15064	−	0.997034i
$330$	19.7476	+	0.244762i	1.08707	+	0.0134737i
$331$	−0.615621	−	0.180763i	−0.0338376	−	0.00993561i	0.264770	−	0.964312i	$-0.414704\pi$
$331$	−0.615621	−	0.180763i	−0.0338376	−	0.00993561i	−0.298608	+	0.954376i	$0.596522\pi$
$332$	−3.91001	−	6.42906i	−0.214590	−	0.352841i
$333$	8.23362	+	5.29143i	0.451200	+	0.289969i
$334$	3.75572	−	4.22732i	0.205504	−	0.231309i
$335$	−29.2356	−	25.3328i	−1.59731	−	1.38408i
$336$	−26.4388	−	33.7567i	−1.44235	−	1.84158i
$337$	18.0786	−	2.59931i	0.984803	−	0.141593i	0.368946	−	0.929451i	$-0.379719\pi$
$337$	18.0786	−	2.59931i	0.984803	−	0.141593i	0.615857	+	0.787858i	$0.288810\pi$
$338$	−1.43903	−	2.30139i	−0.0782728	−	0.125179i
$339$	−7.78894	+	3.55709i	−0.423037	+	0.193195i
$340$	0.377719	−	15.2350i	0.0204847	−	0.826236i
$341$	2.49458	−	5.46238i	0.135089	−	0.295804i
$342$	−25.6077	−	7.86513i	−1.38471	−	0.425298i
$343$	16.6091	−	10.6740i	0.896807	−	0.576343i
$344$	13.2420	−	26.3565i	0.713960	−	1.42105i
$345$	5.06431	+	35.1747i	0.272654	+	1.89374i
$346$	−0.150171	+	0.959856i	−0.00807324	+	0.0516022i
$347$	4.19770	−	2.69770i	0.225344	−	0.144820i	−0.423098	−	0.906084i	$-0.639057\pi$
$347$	4.19770	−	2.69770i	0.225344	−	0.144820i	0.648442	+	0.761264i	$0.275421\pi$
$348$	−23.1208	−	11.2596i	−1.23941	−	0.603580i
$349$	9.38590	+	4.28640i	0.502416	+	0.229446i	0.650468	−	0.759534i	$-0.274573\pi$
$349$	9.38590	+	4.28640i	0.502416	+	0.229446i	−0.148052	+	0.988980i	$0.547300\pi$
$350$	23.4433	−	3.07460i	1.25310	−	0.164344i
$351$	1.61097	−	0.735707i	0.0859874	−	0.0392691i
$352$	10.6403	+	0.660215i	0.567128	+	0.0351896i
$353$	1.93689	+	13.4714i	0.103090	+	0.717008i	0.974162	+	0.225852i	$0.0725165\pi$
$353$	1.93689	+	13.4714i	0.103090	+	0.717008i	−0.871071	+	0.491156i	$0.836574\pi$
$354$	−9.78437	−	4.61577i	−0.520033	−	0.245325i
$355$	23.4504	+	20.3198i	1.24462	+	1.07847i
$356$	6.16167	−	5.07728i	0.326568	−	0.269095i
$357$	−14.8203	+	23.0608i	−0.784372	+	1.22051i
$358$	11.3205	−	9.56625i	0.598309	−	0.505592i
$359$	27.7373	+	8.14440i	1.46392	+	0.429845i	0.914117	−	0.405452i	$-0.132886\pi$
$359$	27.7373	+	8.14440i	1.46392	+	0.429845i	0.549800	+	0.835296i	$0.314704\pi$
$360$	−8.51301	+	25.4516i	−0.448675	+	1.34142i
$361$	10.7296	+	12.3827i	0.564718	+	0.651719i
$362$	2.02994	+	7.24429i	0.106691	+	0.380751i
$363$	−17.7727	+	5.21853i	−0.932824	+	0.273902i
$364$	−24.6174	−	22.4232i	−1.29030	−	1.17529i
$365$	−4.38705	+	30.5126i	−0.229629	+	1.59710i
$366$	35.8937	−	15.8575i	1.87619	−	0.828882i
$367$	−3.26801			−0.170589			−0.0852944	−	0.996356i	$-0.527183\pi$
$367$	−3.26801			−0.170589			−0.0852944	+	0.996356i	$0.527183\pi$
$368$	1.78946	+	19.0997i	0.0932822	+	0.995640i
$369$	−4.91975			−0.256112
$370$	−11.8471	+	5.23393i	−0.615902	+	0.272099i
$371$	2.74588	−	19.0980i	0.142559	−	0.991520i
$372$	11.7164	+	10.6721i	0.607468	+	0.553322i
$373$	10.2199	−	3.00084i	0.529167	−	0.155377i	−0.00622599	−	0.999981i	$-0.501982\pi$
$373$	10.2199	−	3.00084i	0.529167	−	0.155377i	0.535393	+	0.844603i	$0.320164\pi$
$374$	−1.83896	−	6.56275i	−0.0950905	−	0.339352i
$375$	5.44137	+	6.27967i	0.280991	+	0.324281i
$376$	−17.1850	−	5.74802i	−0.886249	−	0.296431i
$377$	−19.1626	−	5.62664i	−0.986922	−	0.289787i
$378$	2.13488	−	1.80405i	0.109807	−	0.0927904i
$379$	−9.04714	+	14.0776i	−0.464720	+	0.723119i	−0.991954	−	0.126602i	$-0.959593\pi$
$379$	−9.04714	+	14.0776i	−0.464720	+	0.723119i	0.527233	+	0.849721i	$0.323229\pi$
$380$	27.3581	−	22.5434i	1.40344	−	1.15645i
$381$	37.5829	+	32.5658i	1.92543	+	1.66840i
$382$	−5.63076	−	2.65631i	−0.288095	−	0.135909i
$383$	−3.05302	−	21.2342i	−0.156002	−	1.08502i	−0.905908	−	0.423474i	$-0.860811\pi$
$383$	−3.05302	−	21.2342i	−0.156002	−	1.08502i	0.749906	−	0.661544i	$-0.230099\pi$
$384$	−10.2360	+	26.2073i	−0.522352	+	1.33739i
$385$	22.0180	−	10.0553i	1.12214	−	0.512464i
$386$	34.2335	−	4.48972i	1.74244	−	0.228521i
$387$	30.2070	+	13.7951i	1.53551	+	0.701244i
$388$	14.9088	+	7.26043i	0.756877	+	0.368593i
$389$	0.492884	−	0.316757i	0.0249902	−	0.0160602i	−0.528086	−	0.849191i	$-0.677090\pi$
$389$	0.492884	−	0.316757i	0.0249902	−	0.0160602i	0.553076	+	0.833131i	$0.313454\pi$
$390$	−6.25661	+	39.9907i	−0.316816	+	2.02501i
$391$	11.1549	−	5.09687i	0.564126	−	0.257760i
$392$	−29.2677	−	14.7046i	−1.47824	−	0.742696i
$393$	17.0957	−	10.9868i	0.862366	−	0.554209i
$394$	27.0292	+	8.30172i	1.36171	+	0.418235i
$395$	3.04126	−	6.65942i	0.153022	−	0.335072i
$396$	−0.297480	+	11.9987i	−0.0149489	+	0.602955i
$397$	−21.1725	+	9.66916i	−1.06262	+	0.485281i	−0.868496	−	0.495696i	$-0.834913\pi$
$397$	−21.1725	+	9.66916i	−1.06262	+	0.485281i	−0.194122	+	0.980977i	$0.562186\pi$
$398$	−17.7983	−	28.4642i	−0.892147	−	1.42678i
$399$	−63.1158	+	9.07469i	−3.15974	+	0.454302i
$400$	−9.56640	−	12.2143i	−0.478320	−	0.610713i
$401$	−17.5388	−	15.1974i	−0.875845	−	0.758924i	0.0957922	−	0.995401i	$-0.469462\pi$
$401$	−17.5388	−	15.1974i	−0.875845	−	0.758924i	−0.971637	+	0.236478i	$0.924007\pi$
$402$	30.3254	−	34.1333i	1.51249	−	1.70241i
$403$	10.3539	+	6.65406i	0.515766	+	0.331463i
$404$	4.46890	+	7.34802i	0.222336	+	0.365577i
$405$	24.0525	+	7.06245i	1.19518	+	0.350936i
$406$	−31.5171	−	0.390638i	−1.56417	−	0.0193871i
$407$	−4.37753	+	3.79316i	−0.216986	+	0.188020i
$408$	17.9749	+	0.668642i	0.889889	+	0.0331027i
$409$	−30.5230	+	8.96235i	−1.50926	+	0.443160i	−0.928631	−	0.371006i	$-0.879013\pi$
$409$	−30.5230	+	8.96235i	−1.50926	+	0.443160i	−0.580633	+	0.814165i	$0.697195\pi$
$410$	3.58740	−	5.43286i	0.177169	−	0.268310i
$411$	1.71309	+	0.246305i	0.0845005	+	0.0121493i
$412$	0.776454	−	0.207228i	0.0382532	−	0.0102094i
$413$	−13.2596			−0.652460
$414$	−21.4136	+	2.81261i	−1.05242	+	0.138232i
$415$			11.2107i			0.550312i
$416$	−4.44297	+	21.3934i	−0.217835	+	1.04890i
$417$	−2.44628	+	17.0143i	−0.119795	+	0.833192i
$418$	8.73586	−	13.2298i	0.427285	−	0.647092i
$419$	2.36796	+	8.06452i	0.115682	+	0.393978i	0.996895	−	0.0787423i	$-0.0250904\pi$
$419$	2.36796	+	8.06452i	0.115682	+	0.393978i	−0.881213	+	0.472720i	$0.843272\pi$
$420$	7.52134	+	63.4376i	0.367004	+	3.09544i
$421$	−0.966015	−	1.11484i	−0.0470807	−	0.0543340i	0.731721	−	0.681605i	$-0.238718\pi$
$421$	−0.966015	−	1.11484i	−0.0470807	−	0.0543340i	−0.778801	+	0.627270i	$0.784172\pi$
$422$	0.273249	−	22.0460i	0.0133015	−	1.07318i
$423$	5.74770	−	19.5749i	0.279463	−	0.951763i
$424$	−11.7039	+	4.82762i	−0.568393	+	0.234450i
$425$	−5.36246	+	8.34414i	−0.260117	+	0.404750i
$426$	−24.3245	+	27.3789i	−1.17853	+	1.32651i
$427$	31.4954	−	36.3476i	1.52417	−	1.75898i
$428$	−9.21012	+	13.5790i	−0.445188	+	0.656367i
$429$	2.57622	+	17.9180i	0.124381	+	0.865091i
$430$	−37.2603	+	23.2983i	−1.79685	+	1.12355i
$431$	11.7629	+	25.7571i	0.566597	+	1.24067i	0.948589	+	0.316509i	$0.102511\pi$
$431$	11.7629	+	25.7571i	0.566597	+	1.24067i	−0.381992	+	0.924165i	$0.624762\pi$
$432$	−1.73198	−	0.603279i	−0.0833300	−	0.0290253i
$433$	1.15644	+	0.528129i	0.0555750	+	0.0253802i	0.443009	−	0.896517i	$-0.353911\pi$
$433$	1.15644	+	0.528129i	0.0555750	+	0.0253802i	−0.387434	+	0.921898i	$0.626638\pi$
$434$	18.5682	+	5.70302i	0.891304	+	0.273754i
$435$	20.7142	+	32.2320i	0.993171	+	1.54540i
$436$	−8.11810	−	2.60392i	−0.388787	−	0.124705i
$437$	25.9523	+	11.8459i	1.24147	+	0.566667i
$438$	−35.9468	−	5.62394i	−1.71761	−	0.268722i
$439$	−9.13785	−	14.2188i	−0.436126	−	0.678625i	0.551726	−	0.834026i	$-0.313970\pi$
$439$	−9.13785	−	14.2188i	−0.436126	−	0.678625i	−0.987852	+	0.155401i	$0.950333\pi$
$440$	−13.0331	−	9.07771i	−0.621330	−	0.432763i
$441$	15.3188	−	33.5436i	0.729468	−	1.59731i
$442$	13.8503	−	1.81647i	0.658791	−	0.0864005i
$443$	−16.7305	−	36.6347i	−0.794890	−	1.74057i	−0.662091	−	0.749423i	$-0.730331\pi$
$443$	−16.7305	−	36.6347i	−0.794890	−	1.74057i	−0.132799	−	0.991143i	$-0.542396\pi$
$444$	−6.00379	−	14.0585i	−0.284927	−	0.667188i
$445$	−11.7740	+	1.69284i	−0.558141	+	0.0802485i
$446$	5.96714	−	12.6490i	0.282552	−	0.598946i
$447$	28.6473	−	33.0608i	1.35497	−	1.56372i
$448$	2.35811	+	34.4032i	0.111410	+	1.62540i
$449$	−6.84788	−	4.40086i	−0.323171	−	0.207690i	0.368988	−	0.929434i	$-0.379704\pi$
$449$	−6.84788	−	4.40086i	−0.323171	−	0.207690i	−0.692160	+	0.721744i	$0.743341\pi$
$450$	13.3415	−	11.2740i	0.628924	−	0.531463i
$451$	0.820291	−	2.79365i	0.0386260	−	0.131548i
$452$	6.78996	+	1.14869i	0.319373	+	0.0540296i
$453$	−30.4450	+	26.3808i	−1.43043	+	1.23948i
$454$	30.7128	−	8.60611i	1.44142	−	0.403905i
$455$	13.9769	+	47.6009i	0.655247	+	2.23157i
$456$	26.2055	+	32.6179i	1.22719	+	1.52747i
$457$	−6.37731	−	0.916918i	−0.298318	−	0.0428916i	−0.00846922	−	0.999964i	$-0.502696\pi$
$457$	−6.37731	−	0.916918i	−0.298318	−	0.0428916i	−0.289849	+	0.957073i	$0.593605\pi$
$458$	−3.67627	+	1.62414i	−0.171781	+	0.0758909i
$459$			1.17253i			0.0547288i
$460$	12.5084	−	25.6978i	0.583209	−	1.19816i
$461$		−	33.2028i		−	1.54641i	−0.634156	−	0.773205i	$-0.718652\pi$
$461$		−	33.2028i		−	1.54641i	0.634156	−	0.773205i	$-0.281348\pi$
$462$	11.5452	+	26.1327i	0.537129	+	1.21580i
$463$	−28.4171	−	4.08576i	−1.32066	−	0.189882i	−0.554310	−	0.832310i	$-0.687018\pi$
$463$	−28.4171	−	4.08576i	−1.32066	−	0.189882i	−0.766345	+	0.642429i	$0.777927\pi$
$464$	10.3057	+	17.9318i	0.478431	+	0.832461i
$465$	−6.65216	−	22.6552i	−0.308487	−	1.05061i
$466$	5.83418	+	20.8206i	0.270263	+	0.964495i
$467$	11.3767	−	9.85793i	0.526449	−	0.456171i	−0.350632	−	0.936513i	$-0.614033\pi$
$467$	11.3767	−	9.85793i	0.526449	−	0.456171i	0.877081	+	0.480343i	$0.159488\pi$
$468$	−24.2550	−	4.10331i	−1.12119	−	0.189676i
$469$	15.7661	−	53.6943i	0.728009	−	2.47937i
$470$	17.4253	+	20.6208i	0.803769	+	0.951167i
$471$	−22.9441	−	14.7453i	−1.05721	−	0.679426i
$472$	4.42855	+	7.48918i	0.203840	+	0.344718i
$473$	−12.8700	+	14.8528i	−0.591764	+	0.682932i
$474$	7.81497	+	3.68671i	0.358953	+	0.169336i
$475$	−22.8374	+	3.28352i	−1.04785	+	0.150658i
$476$	20.2746	−	8.65838i	0.929283	−	0.396856i
$477$	−5.92123	−	12.9657i	−0.271114	−	0.593657i
$478$	−0.404790	−	3.08647i	−0.0185147	−	0.141172i
$479$	−5.39831	+	11.8206i	−0.246655	+	0.540099i	−0.991949	−	0.126637i	$-0.959582\pi$
$479$	−5.39831	+	11.8206i	−0.246655	+	0.540099i	0.745294	+	0.666736i	$0.232309\pi$
$480$	33.3184	−	25.4356i	1.52077	−	1.16097i
$481$	−6.41834	−	9.98713i	−0.292651	−	0.455374i
$482$	−4.00755	+	25.6153i	−0.182539	+	1.16674i
$483$	−43.2425	+	27.8021i	−1.96760	+	1.26504i
$484$	14.1850	+	4.54989i	0.644772	+	0.206813i
$485$	−13.3569	−	20.7838i	−0.606507	−	0.943744i
$486$	−9.25809	+	30.1430i	−0.419956	+	1.36732i
$487$	−0.242539	−	0.110764i	−0.0109905	−	0.00501920i	0.409912	−	0.912125i	$-0.365559\pi$
$487$	−0.242539	−	0.110764i	−0.0109905	−	0.00501920i	−0.420903	+	0.907106i	$0.638287\pi$
$488$	−31.0487	−	5.64932i	−1.40551	−	0.255733i
$489$	1.82982	+	4.00675i	0.0827473	+	0.181191i
$490$	25.8718	+	41.3759i	1.16877	+	1.86917i
$491$	5.03199	+	34.9983i	0.227090	+	1.57945i	0.710271	+	0.703928i	$0.248572\pi$
$491$	5.03199	+	34.9983i	0.227090	+	1.57945i	−0.483181	+	0.875521i	$0.660519\pi$
$492$	6.35939	+	4.31332i	0.286703	+	0.194460i
$493$	8.65885	−	9.99285i	0.389975	−	0.450055i
$494$	24.2913	+	21.5814i	1.09292	+	0.970993i
$495$	9.66759	−	15.0431i	0.434526	−	0.676136i
$496$	−2.98044	−	12.3923i	−0.133826	−	0.556433i
$497$	−12.6462	+	43.0691i	−0.567261	+	1.93191i
$498$	−13.2309	−	0.163990i	−0.592890	−	0.00734857i
$499$	−18.3735	−	21.2042i	−0.822511	−	0.949228i	0.176876	−	0.984233i	$-0.443401\pi$
$499$	−18.3735	−	21.2042i	−0.822511	−	0.949228i	−0.999387	+	0.0350049i	$0.988855\pi$
$500$	−0.786790	−	6.63606i	−0.0351863	−	0.296773i
$501$	−2.80143	−	9.54080i	−0.125159	−	0.426251i
$502$	−7.31146	−	4.82787i	−0.326326	−	0.215478i
$503$	2.66434	−	18.5309i	0.118797	−	0.826253i	−0.840086	−	0.542453i	$-0.817496\pi$
$503$	2.66434	−	18.5309i	0.118797	−	0.826253i	0.958883	−	0.283800i	$-0.0915952\pi$
$504$	−38.6072	+	4.09285i	−1.71970	+	0.182310i
$505$		−	12.8131i		−	0.570177i
$506$	1.97325	−	12.6285i	0.0877215	−	0.561406i
$507$	−4.77292			−0.211973
$508$	−10.3130	−	38.6414i	−0.457567	−	1.71444i
$509$	9.82876	+	1.41316i	0.435652	+	0.0626373i	0.356652	−	0.934237i	$-0.383918\pi$
$509$	9.82876	+	1.41316i	0.435652	+	0.0626373i	0.0790001	+	0.996875i	$0.474827\pi$
$510$	−22.3630	−	14.7666i	−0.990250	−	0.653877i
$511$	−42.7875	+	12.5635i	−1.89281	+	0.555778i
$512$	18.6438	−	12.8222i	0.823948	−	0.566666i
$513$	−2.06127	+	1.78610i	−0.0910071	+	0.0788581i
$514$	0.248883	−	20.0801i	0.0109778	−	0.885696i
$515$	−1.14880	−	0.337317i	−0.0506220	−	0.0148640i
$516$	−26.9517	−	44.3154i	−1.18648	−	1.95088i
$517$	10.1571	+	6.52760i	0.446711	+	0.287083i
$518$	−14.0067	−	12.4441i	−0.615420	−	0.546764i
$519$	1.29112	+	1.11877i	0.0566740	+	0.0491083i
$520$	22.2176	−	23.7926i	0.974304	−	1.04337i
$521$	15.3413	−	2.20575i	0.672115	−	0.0966355i	0.202196	−	0.979345i	$-0.435192\pi$
$521$	15.3413	−	2.20575i	0.672115	−	0.0966355i	0.469919	+	0.882710i	$0.344283\pi$
$522$	−19.7432	+	12.3451i	−0.864134	+	0.540331i
$523$	−0.466687	+	0.213129i	−0.0204068	+	0.00931947i	−0.425592	−	0.904915i	$-0.639934\pi$
$523$	−0.466687	+	0.213129i	−0.0204068	+	0.00931947i	0.405185	+	0.914235i	$0.367207\pi$
$524$	−16.3384	−	0.405075i	−0.713746	−	0.0176958i
$525$	17.2718	−	37.8200i	0.753804	−	1.65060i
$526$	−1.83540	+	5.97582i	−0.0800274	+	0.260558i
$527$	−6.85495	+	4.40541i	−0.298606	+	0.191903i
$528$	10.9042	−	15.2489i	0.474543	−	0.663624i
$529$	23.0000	−	0.00891473i	1.00000	−	0.000387597i
$530$	18.6356	+	2.91557i	0.809478	+	0.126644i
$531$	−8.24050	+	5.29585i	−0.357607	+	0.229820i
$532$	46.1053	+	22.4529i	1.99892	+	0.973455i
$533$	5.42824	+	2.47899i	0.235123	+	0.107377i
$534$	−1.82567	−	13.9204i	−0.0790043	−	0.602396i
$535$	22.2362	−	10.1549i	0.961354	−	0.439036i
$536$	−35.5930	+	9.02841i	−1.53738	+	0.389968i
$537$	−3.70908	−	25.7972i	−0.160059	−	1.11323i
$538$	−14.3876	+	30.4984i	−0.620294	+	1.31488i
$539$	16.4934	+	14.2916i	0.710419	+	0.615582i
$540$	1.73764	+	2.10877i	0.0747763	+	0.0907468i
$541$	19.3004	−	30.0320i	0.829789	−	1.29118i	−0.124478	−	0.992222i	$-0.539726\pi$
$541$	19.3004	−	30.0320i	0.829789	−	1.29118i	0.954267	−	0.298955i	$-0.0966380\pi$
$542$	4.91266	+	5.81356i	0.211017	+	0.249714i
$543$	12.6936	+	3.72717i	0.544734	+	0.159948i
$544$	−11.6619	−	8.55955i	−0.499998	−	0.366988i
$545$	8.31787	+	9.59933i	0.356298	+	0.411190i
$546$	−56.3831	+	15.7992i	−2.41297	+	0.676145i
$547$	−14.4530	+	4.24378i	−0.617966	+	0.181451i	−0.575708	−	0.817656i	$-0.695273\pi$
$547$	−14.4530	+	4.24378i	−0.617966	+	0.181451i	−0.0422580	+	0.999107i	$0.513455\pi$
$548$	−1.02901	−	0.937288i	−0.0439570	−	0.0400390i
$549$	5.05645	−	35.1684i	0.215804	−	1.50095i
$550$	4.17741	+	9.45566i	0.178125	+	0.403191i
$551$	30.7571			1.31030
$552$	30.1456	+	15.1384i	1.28308	+	0.644332i
$553$	10.5907			0.450361
$554$	14.3705	+	32.5278i	0.610542	+	1.38198i
$555$	−3.24124	+	22.5433i	−0.137583	+	0.956912i
$556$	9.30906	−	10.2200i	0.394792	−	0.433425i
$557$	−23.9629	+	7.03613i	−1.01534	+	0.298131i	−0.746736	−	0.665120i	$-0.768380\pi$
$557$	−23.9629	+	7.03613i	−1.01534	+	0.298131i	−0.268603	+	0.963251i	$0.586562\pi$
$558$	13.8175	−	3.87183i	0.584942	−	0.163908i
$559$	−26.3780	−	30.4418i	−1.11567	−	1.28755i
$560$	23.6320	−	45.6182i	0.998634	−	1.92772i
$561$	−11.4994	−	3.37652i	−0.485504	−	0.142557i
$562$	−13.6900	−	16.2005i	−0.577478	−	0.683377i
$563$	3.56999	−	5.55502i	0.150457	−	0.234116i	−0.757841	−	0.652439i	$-0.773746\pi$
$563$	3.56999	−	5.55502i	0.150457	−	0.234116i	0.908298	+	0.418323i	$0.137382\pi$
$564$	−24.5916	+	20.2637i	−1.03549	+	0.853256i
$565$	−7.75383	−	6.71873i	−0.326206	−	0.282659i
$566$	5.72278	−	12.1310i	0.240546	−	0.509903i
$567$	5.16085	+	35.8945i	0.216735	+	1.50743i
$568$	28.5497	−	7.24185i	1.19792	−	0.303861i
$569$	27.6073	−	12.6079i	1.15736	−	0.528549i	0.258167	−	0.966100i	$-0.416882\pi$
$569$	27.6073	−	12.6079i	1.15736	−	0.528549i	0.899193	+	0.437552i	$0.144154\pi$
$570$	−8.10605	−	61.8074i	−0.339525	−	2.58883i
$571$	8.29187	+	3.78677i	0.347004	+	0.158471i	0.581290	−	0.813696i	$-0.302548\pi$
$571$	8.29187	+	3.78677i	0.347004	+	0.158471i	−0.234286	+	0.972168i	$0.575275\pi$
$572$	6.37417	−	13.0889i	0.266518	−	0.547274i
$573$	−9.21000	+	5.91891i	−0.384753	+	0.247266i
$574$	9.30485	+	1.45576i	0.388377	+	0.0607622i
$575$	−15.6465	+	10.0597i	−0.652506	+	0.419519i
$576$	15.2061	+	20.4389i	0.633587	+	0.851622i
$577$	3.74750	−	2.40837i	0.156010	−	0.100262i	−0.460306	−	0.887760i	$-0.652260\pi$
$577$	3.74750	−	2.40837i	0.156010	−	0.100262i	0.616317	+	0.787498i	$0.288624\pi$
$578$	4.34336	−	14.1414i	0.180660	−	0.588203i
$579$	25.2214	−	55.2272i	1.04817	−	2.29516i
$580$	0.763720	−	30.8041i	0.0317117	−	1.27907i
$581$	−14.7520	+	6.73701i	−0.612016	+	0.279498i
$582$	24.7244	−	15.4598i	1.02486	−	0.640831i
$583$	8.34976	−	1.20051i	0.345812	−	0.0497202i
$584$	21.3866	+	19.9709i	0.884985	+	0.826402i
$585$	27.6981	+	24.0005i	1.14517	+	0.992299i
$586$	−10.7885	−	9.58498i	−0.445670	−	0.395952i
$587$	13.3608	+	8.58646i	0.551459	+	0.354401i	0.786506	−	0.617583i	$-0.211888\pi$
$587$	13.3608	+	8.58646i	0.551459	+	0.354401i	−0.235047	+	0.971984i	$0.575524\pi$
$588$	−49.2103	+	29.9286i	−2.02940	+	1.23424i
$589$	−18.1867	−	5.34009i	−0.749369	−	0.220035i
$590$	0.160652	−	12.9616i	0.00661395	−	0.533620i
$591$	37.5768	−	32.5605i	1.54570	−	1.33936i
$592$	−2.35054	+	12.0674i	−0.0966064	+	0.495967i
$593$	−42.6333	+	12.5183i	−1.75074	+	0.514063i	−0.990729	−	0.135850i	$-0.956623\pi$
$593$	−42.6333	+	12.5183i	−1.75074	+	0.514063i	−0.760008	+	0.649913i	$0.774805\pi$
$594$	1.01976	+	0.673360i	0.0418411	+	0.0276283i
$595$	−32.5110	−	4.67437i	−1.33282	−	0.191631i
$596$	−33.9919	+	9.07213i	−1.39236	+	0.371609i
$597$	−59.0328			−2.41605
$598$	25.0440	+	7.68667i	1.02413	+	0.314331i
$599$		−	1.07566i		−	0.0439501i	−0.999759	−	0.0219751i	$-0.993005\pi$
$599$		−	1.07566i		−	0.0439501i	0.999759	−	0.0219751i	$-0.00699544\pi$
$600$	−27.1299	+	2.87611i	−1.10757	+	0.117417i
$601$	−2.65653	+	18.4766i	−0.108362	+	0.753676i	0.861100	+	0.508436i	$0.169776\pi$
$601$	−2.65653	+	18.4766i	−0.108362	+	0.753676i	−0.969462	+	0.245240i	$0.921133\pi$
$602$	−53.0493	−	35.0293i	−2.16213	−	1.42769i
$603$	−11.6472	−	39.6667i	−0.474310	−	1.61535i
$604$	32.1728	−	3.81450i	1.30909	−	0.155210i
$605$	−14.5340	−	16.7732i	−0.590892	−	0.681926i
$606$	15.1221	+	0.187430i	0.614292	+	0.00761384i
$607$	−9.38264	+	31.9543i	−0.380830	+	1.29699i	0.516751	+	0.856136i	$0.327141\pi$
$607$	−9.38264	+	31.9543i	−0.380830	+	1.29699i	−0.897580	+	0.440851i	$0.854677\pi$
$608$	−2.71696	−	33.5399i	−0.110187	−	1.36022i
$609$	−29.9655	+	46.6272i	−1.21426	+	1.88943i
$610$	35.1492	+	31.2280i	1.42315	+	1.26438i
$611$	−16.2052	+	18.7019i	−0.655594	+	0.756596i
$612$	9.14202	−	13.4786i	0.369544	−	0.544841i
$613$	−4.15319	−	28.8861i	−0.167746	−	1.16670i	−0.883529	−	0.468376i	$-0.844839\pi$
$613$	−4.15319	−	28.8861i	−0.167746	−	1.16670i	0.715783	−	0.698323i	$-0.246070\pi$
$614$	−8.81656	−	14.1001i	−0.355808	−	0.569032i
$615$	−4.75579	−	10.4137i	−0.191772	−	0.419922i
$616$	4.11304	−	22.6053i	0.165719	−	0.910794i
$617$	13.0941	+	5.97988i	0.527149	+	0.240741i	0.661168	−	0.750238i	$-0.270061\pi$
$617$	13.0941	+	5.97988i	0.527149	+	0.240741i	−0.134019	+	0.990979i	$0.542788\pi$
$618$	0.414906	−	1.35088i	0.0166900	−	0.0543402i
$619$	−19.1057	−	29.7290i	−0.767921	−	1.19491i	−0.976207	−	0.216841i	$-0.930425\pi$
$619$	−19.1057	−	29.7290i	−0.767921	−	1.19491i	0.208286	−	0.978068i	$-0.433212\pi$
$620$	−5.79984	+	18.0819i	−0.232927	+	0.726185i
$621$	−0.913084	+	2.00040i	−0.0366408	+	0.0802733i
$622$	5.74789	−	36.7391i	0.230469	−	1.47310i
$623$	−9.30311	−	14.4759i	−0.372721	−	0.579966i
$624$	27.7550	+	26.5692i	1.11109	+	1.06362i
$625$	−12.1921	+	26.6971i	−0.487686	+	1.06788i
$626$	−1.70539	−	13.0034i	−0.0681612	−	0.519719i
$627$	−11.5811	−	25.3590i	−0.462504	−	1.01274i
$628$	8.61457	+	20.1720i	0.343759	+	0.804949i
$629$	7.77983	−	1.11857i	0.310202	−	0.0446003i
$630$	52.3126	+	24.6784i	2.08418	+	0.983212i
$631$	−21.9742	+	25.3596i	−0.874778	+	1.00955i	0.125070	+	0.992148i	$0.460084\pi$
$631$	−21.9742	+	25.3596i	−0.874778	+	1.00955i	−0.999849	+	0.0174001i	$0.994461\pi$
$632$	−3.53717	−	5.98176i	−0.140701	−	0.237942i
$633$	−32.6154	−	20.9606i	−1.29634	−	0.833110i
$634$	13.9789	+	16.5423i	0.555171	+	0.656980i
$635$	−16.7871	+	57.1716i	−0.666175	+	2.26878i
$636$	−3.71355	+	21.9511i	−0.147252	+	0.870417i
$637$	−33.8042	+	29.2915i	−1.33937	+	1.16057i
$638$	−3.71824	−	13.2694i	−0.147207	−	0.525340i
$639$	9.34241	+	31.8173i	0.369580	+	1.25867i
$640$	−33.6586	+	1.88830i	−1.33047	+	0.0746414i
$641$	42.6259	+	6.12868i	1.68362	+	0.242068i	0.916672	−	0.399639i	$-0.130865\pi$
$641$	42.6259	+	6.12868i	1.68362	+	0.242068i	0.766949	+	0.641708i	$0.221774\pi$
$642$	11.6596	+	26.3917i	0.460167	+	1.04160i
$643$			17.6733i			0.696967i	0.937315	+	0.348483i	$0.113303\pi$
$643$			17.6733i			0.696967i	−0.937315	+	0.348483i	$0.886697\pi$
$644$	41.3322	+	1.01673i	1.62872	+	0.0400646i
$645$			77.2752i			3.04271i
$646$	−19.6779	+	8.69350i	−0.774217	+	0.342041i
$647$	−14.2697	−	2.05168i	−0.561001	−	0.0806598i	−0.144020	−	0.989575i	$-0.546003\pi$
$647$	−14.2697	−	2.05168i	−0.561001	−	0.0806598i	−0.416982	+	0.908915i	$0.636912\pi$
$648$	18.5501	−	14.9033i	0.728715	−	0.585457i
$649$	−1.63325	−	5.56232i	−0.0641105	−	0.218340i
$650$	−20.4012	+	5.71668i	−0.800203	+	0.224227i
$651$	25.8141	−	22.3680i	1.01173	−	0.876671i
$652$	0.590901	−	3.49286i	0.0231415	−	0.136791i
$653$	3.69316	−	12.5777i	0.144524	−	0.492205i	−0.855132	−	0.518410i	$-0.826524\pi$
$653$	3.69316	−	12.5777i	0.144524	−	0.492205i	0.999657	+	0.0262052i	$0.00834233\pi$
$654$	−11.4508	+	9.67634i	−0.447762	+	0.378375i
$655$	20.4839	+	13.1642i	0.800374	+	0.514369i
$656$	−2.28549	−	5.74172i	−0.0892333	−	0.224176i
$657$	−21.5736	+	24.8972i	−0.841665	+	0.971333i
$658$	−16.6630	+	35.3217i	−0.649591	+	1.37698i
$659$	48.7756	−	7.01288i	1.90003	−	0.273183i	0.910061	−	0.414474i	$-0.136035\pi$
$659$	48.7756	−	7.01288i	1.90003	−	0.273183i	0.989968	+	0.141291i	$0.0451255\pi$
$660$	−25.6853	+	10.9691i	−0.999800	+	0.426971i
$661$	5.66668	+	12.4083i	0.220408	+	0.482626i	0.987244	−	0.159217i	$-0.0508970\pi$
$661$	5.66668	+	12.4083i	0.220408	+	0.482626i	−0.766835	+	0.641844i	$0.778170\pi$
$662$	0.899670	−	0.117992i	0.0349667	−	0.00458588i
$663$	10.2042	−	22.3440i	0.396297	−	0.867769i
$664$	8.73217	+	6.08205i	0.338874	+	0.236029i
$665$	−41.3063	−	64.2738i	−1.60179	−	2.49243i
$666$	−13.6750	−	2.13948i	−0.529896	−	0.0829031i
$667$	22.5543	−	10.3055i	0.873306	−	0.399030i
$668$	−2.44249	+	7.61483i	−0.0945027	+	0.294627i
$669$	−13.2963	−	20.6894i	−0.514063	−	0.799898i
$670$	52.2966	+	16.0623i	2.02039	+	0.620542i
$671$	19.1271	+	8.73505i	0.738393	+	0.337213i
$672$	53.4929	+	28.5578i	2.06353	+	1.10164i
$673$	−6.90455	−	15.1189i	−0.266151	−	0.582789i	0.728620	−	0.684918i	$-0.240162\pi$
$673$	−6.90455	−	15.1189i	−0.266151	−	0.582789i	−0.994771	+	0.102129i	$0.967435\pi$
$674$	−21.9009	+	13.6943i	−0.843590	+	0.527485i
$675$	−0.253093	−	1.76030i	−0.00974157	−	0.0677541i
$676$	3.17676	+	2.15467i	0.122183	+	0.0828720i
$677$	−29.4598	+	33.9984i	−1.13223	+	1.30667i	−0.186229	+	0.982506i	$0.559627\pi$
$677$	−29.4598	+	33.9984i	−1.13223	+	1.30667i	−0.946003	+	0.324159i	$0.894919\pi$
$678$	8.04287	−	9.05279i	0.308885	−	0.347670i
$679$	19.3223	−	30.0661i	0.741523	−	1.15383i
$680$	8.21816	+	19.9238i	0.315152	+	0.764045i
$681$	15.8017	−	53.8156i	0.605522	−	2.06222i
$682$	−0.105251	+	8.49176i	−0.00403027	+	0.325166i
$683$	13.7838	+	15.9073i	0.527422	+	0.608678i	0.955474	−	0.295077i	$-0.0953452\pi$
$683$	13.7838	+	15.9073i	0.527422	+	0.608678i	−0.428051	+	0.903754i	$0.640800\pi$
$684$	37.6210	−	4.46045i	1.43847	−	0.170550i
$685$	0.584233	+	1.98972i	0.0223224	+	0.0760232i
$686$	−15.3853	+	23.2999i	−0.587413	+	0.889595i
$687$	−1.00579	+	6.99541i	−0.0383732	+	0.266892i
$688$	−2.06713	+	41.6624i	−0.0788085	+	1.58836i
$689$			17.2894i			0.658672i
$690$	−26.6534	−	42.6076i	−1.01468	−	1.62204i
$691$	−18.5126			−0.704254			−0.352127	−	0.935952i	$-0.614542\pi$
$691$	−18.5126			−0.704254			−0.352127	+	0.935952i	$0.614542\pi$
$692$	−0.354294	−	1.32749i	−0.0134682	−	0.0504635i
$693$	25.6047	+	3.68139i	0.972640	+	0.139845i
$694$	−3.88840	+	5.88870i	−0.147602	+	0.223532i
$695$	−19.7617	+	5.80255i	−0.749603	+	0.220103i
$696$	36.3438	+	1.35194i	1.37761	+	0.0512453i
$697$	−2.98587	+	2.58727i	−0.113098	+	0.0979998i
$698$	−14.5912	−	0.180851i	−0.552286	−	0.00684531i
$699$	36.4822	+	10.7121i	1.37988	+	0.405171i
$700$	−28.5691	+	17.3751i	−1.07981	+	0.656717i
$701$	18.1105	+	11.6389i	0.684023	+	0.439595i	0.835956	−	0.548796i	$-0.184914\pi$
$701$	18.1105	+	11.6389i	0.684023	+	0.439595i	−0.151934	+	0.988391i	$0.548550\pi$
$702$	−1.66350	+	1.87238i	−0.0627846	+	0.0706682i
$703$	13.8174	+	11.9728i	0.521132	+	0.451563i
$704$	−14.1415	+	5.22683i	−0.532978	+	0.196993i
$705$	46.9906	−	6.75623i	1.76977	−	0.254454i
$706$	−10.2044	−	16.3196i	−0.384047	−	0.614195i
$707$	16.8606	−	7.69998i	0.634109	−	0.289588i
$708$	15.2949	+	0.379204i	0.574818	+	0.0142514i
$709$	−9.88195	+	21.6385i	−0.371124	+	0.812649i	0.628275	+	0.777991i	$0.283761\pi$
$709$	−9.88195	+	21.6385i	−0.371124	+	0.812649i	−0.999399	+	0.0346576i	$0.988966\pi$
$710$	−41.9480	−	12.8839i	−1.57428	−	0.483523i
$711$	6.58185	−	4.22990i	0.246839	−	0.158634i
$712$	−5.06907	+	10.0893i	−0.189971	+	0.378114i
$713$	−15.1256	+	2.17773i	−0.566459	+	0.0815565i
$714$	5.99227	−	38.3011i	0.224255	−	1.43338i
$715$	−18.2468	+	11.7265i	−0.682391	+	0.438546i
$716$	−9.17712	+	18.8445i	−0.342965	+	0.704253i
$717$	−4.97924	−	2.27394i	−0.185953	−	0.0849220i
$718$	−40.5353	+	5.31621i	−1.51276	+	0.198399i
$719$	−2.32559	+	1.06206i	−0.0867300	+	0.0396083i	−0.458308	−	0.888794i	$-0.651544\pi$
$719$	−2.32559	+	1.06206i	−0.0867300	+	0.0396083i	0.371578	+	0.928402i	$0.378817\pi$
$720$	−3.53311	−	37.7892i	−0.131671	−	1.40832i
$721$	−0.246493	−	1.71439i	−0.00917986	−	0.0638473i
$722$	−20.9565	−	9.88621i	−0.779919	−	0.367927i
$723$	34.4557	+	29.8560i	1.28142	+	1.11036i
$724$	−6.76601	−	8.21108i	−0.251457	−	0.305162i
$725$	−10.8425	+	16.8712i	−0.402680	+	0.626582i
$726$	20.0083	−	16.9077i	0.742578	−	0.627504i
$727$	2.95155	+	0.866655i	0.109467	+	0.0321424i	0.336007	−	0.941859i	$-0.390923\pi$
$727$	2.95155	+	0.866655i	0.109467	+	0.0321424i	−0.226540	+	0.974002i	$0.572741\pi$
$728$	44.6598	+	14.9378i	1.65520	+	0.553630i
$729$	19.7837	+	22.8316i	0.732728	+	0.845614i
$730$	−11.7628	−	41.9782i	−0.435361	−	1.55368i
$731$	25.5878	−	7.51326i	0.946400	−	0.277888i
$732$	−37.3694	+	41.0263i	−1.38121	+	1.51637i
$733$	5.63264	−	39.1759i	0.208046	−	1.44699i	−0.571475	−	0.820619i	$-0.693629\pi$
$733$	5.63264	−	39.1759i	0.208046	−	1.44699i	0.779522	−	0.626375i	$-0.215462\pi$
$734$	4.22749	−	1.86766i	0.156039	−	0.0689366i
$735$	85.8106			3.16517
$736$	−13.2303	−	23.6846i	−0.487674	−	0.873026i
$737$	24.4665			0.901235
$738$	6.36418	−	2.81163i	0.234269	−	0.103497i
$739$	−0.475029	+	3.30390i	−0.0174742	+	0.121536i	−0.996691	−	0.0812784i	$-0.974100\pi$
$739$	−0.475029	+	3.30390i	−0.0174742	+	0.121536i	0.979217	+	0.202814i	$0.0650088\pi$
$740$	12.3342	−	13.5412i	0.453414	−	0.497784i
$741$	54.8240	−	16.0978i	2.01401	−	0.591367i
$742$	7.36240	+	26.2744i	0.270282	+	0.964563i
$743$	26.2269	+	30.2674i	0.962170	+	1.11040i	0.993831	+	0.110905i	$0.0353750\pi$
$743$	26.2269	+	30.2674i	0.962170	+	1.11040i	−0.0316606	+	0.999499i	$0.510080\pi$
$744$	−21.2554	−	7.10947i	−0.779260	−	0.260646i
$745$	50.2924	+	14.7672i	1.84257	+	0.541028i
$746$	−11.5055	+	9.72252i	−0.421245	+	0.355967i
$747$	−6.47727	+	10.0788i	−0.236991	+	0.368765i
$748$	6.12947	+	7.43859i	0.224116	+	0.271982i
$749$	26.7254	+	23.1577i	0.976526	+	0.846165i
$750$	−10.6277	−	5.01363i	−0.388070	−	0.183072i
$751$	−4.08728	−	28.4277i	−0.149147	−	1.03734i	−0.917620	−	0.397458i	$-0.869892\pi$
$751$	−4.08728	−	28.4277i	−0.149147	−	1.03734i	0.768473	−	0.639882i	$-0.221017\pi$
$752$	25.5154	−	2.38557i	0.930452	−	0.0869928i
$753$	−14.0146	+	6.40028i	−0.510722	+	0.233239i
$754$	28.0042	−	3.67276i	1.01985	−	0.133754i
$755$	−43.9066	−	20.0515i	−1.59792	−	0.729748i
$756$	−1.73067	+	3.55379i	−0.0629438	+	0.129250i
$757$	−11.0169	+	7.08011i	−0.400415	+	0.257331i	−0.725315	−	0.688418i	$-0.758306\pi$
$757$	−11.0169	+	7.08011i	−0.400415	+	0.257331i	0.324900	+	0.945748i	$0.394669\pi$
$758$	3.65802	−	23.3812i	0.132865	−	0.849243i
$759$	−16.9893	−	14.7155i	−0.616671	−	0.534139i
$760$	−22.5069	+	44.7971i	−0.816411	+	1.62496i
$761$	2.87881	−	1.85010i	0.104357	−	0.0670660i	−0.487422	−	0.873167i	$-0.662062\pi$
$761$	2.87881	−	1.85010i	0.104357	−	0.0670660i	0.591778	+	0.806101i	$0.298426\pi$
$762$	−67.2284	−	20.6484i	−2.43543	−	0.748014i
$763$	−7.63305	+	16.7140i	−0.276335	+	0.605089i
$764$	8.80200	+	0.218226i	0.318445	+	0.00789515i
$765$	−22.0718	+	10.0798i	−0.798006	+	0.364437i
$766$	16.0847	+	25.7237i	0.581163	+	0.929436i
$767$	11.7607	−	1.69093i	0.424654	−	0.0610561i
$768$	−1.73621	−	39.7515i	−0.0626500	−	1.43441i
$769$	−31.4174	−	27.2233i	−1.13294	−	0.981697i	−0.132983	−	0.991118i	$-0.542456\pi$
$769$	−31.4174	−	27.2233i	−1.13294	−	0.981697i	−0.999956	+	0.00942112i	$0.997001\pi$
$770$	−22.7358	+	25.5907i	−0.819342	+	0.922224i
$771$	−29.7070	−	19.0916i	−1.06987	−	0.687566i
$772$	−41.7184	+	25.3722i	−1.50148	+	0.913166i
$773$	18.1157	+	5.31924i	0.651575	+	0.191320i	0.590783	−	0.806831i	$-0.298819\pi$
$773$	18.1157	+	5.31924i	0.651575	+	0.191320i	0.0607925	+	0.998150i	$0.480637\pi$
$774$	−46.9596	−	0.582040i	−1.68793	−	0.0209210i
$775$	9.34036	−	8.09347i	0.335516	−	0.290726i
$776$	−23.4352	−	0.871760i	−0.841275	−	0.0312944i
$777$	−31.6123	+	9.28220i	−1.13408	+	0.332997i
$778$	−0.456567	+	0.691438i	−0.0163687	+	0.0247893i
$779$	−9.09669	−	1.30791i	−0.325923	−	0.0468606i
$780$	−14.7611	−	55.3075i	−0.528531	−	1.98033i
$781$	−19.6250			−0.702237
$782$	−11.5170	+	12.9683i	−0.411849	+	0.463744i
$783$			2.37076i			0.0847240i
$784$	46.2642	+	2.29545i	1.65229	+	0.0819804i
$785$	4.65072	−	32.3465i	0.165991	−	1.15449i
$786$	−15.8361	+	23.9826i	−0.564854	+	0.855431i
$787$	−5.63479	−	19.1903i	−0.200859	−	0.684062i	−0.996890	−	0.0788062i	$-0.974889\pi$
$787$	−5.63479	−	19.1903i	−0.200859	−	0.684062i	0.796031	−	0.605255i	$-0.206929\pi$
$788$	−39.7093	+	4.70805i	−1.41459	+	0.167717i
$789$	7.19870	+	8.30774i	0.256280	+	0.295763i
$790$	−0.128316	+	10.3527i	−0.00456529	+	0.368332i
$791$	4.18146	−	14.2407i	0.148676	−	0.506343i
$792$	−6.47238	−	15.6914i	−0.229986	−	0.557570i
$793$	−23.2999	+	36.2554i	−0.827404	+	1.28747i
$794$	21.8628	−	24.6080i	0.775881	−	0.873306i
$795$	21.7208	−	25.0671i	0.770357	−	0.889040i
$796$	39.2910	+	26.6495i	1.39263	+	0.944568i
$797$	3.17561	+	22.0868i	0.112486	+	0.782356i	0.965488	+	0.260448i	$0.0838703\pi$
$797$	3.17561	+	22.0868i	0.112486	+	0.782356i	−0.853002	+	0.521908i	$0.825221\pi$
$798$	76.4602	−	47.8095i	2.70666	−	1.69244i
$799$	−6.80594	−	14.9029i	−0.240777	−	0.527228i
$800$	19.3555	+	10.3331i	0.684319	+	0.365332i
$801$	−11.5633	−	5.28080i	−0.408570	−	0.186588i
$802$	31.3734	+	9.63598i	1.10783	+	0.340258i
$803$	−10.5407	−	16.4016i	−0.371973	−	0.578802i
$804$	−19.7218	+	61.4855i	−0.695533	+	2.16843i
$805$	−51.8257	−	33.2921i	−1.82661	−	1.17339i
$806$	−17.1966	−	2.69043i	−0.605724	−	0.0947664i
$807$	32.0591	+	49.8850i	1.12853	+	1.75603i
$808$	−9.98032	−	6.95140i	−0.351107	−	0.244549i
$809$	13.9644	−	30.5777i	0.490962	−	1.07506i	−0.488341	−	0.872653i	$-0.662398\pi$
$809$	13.9644	−	30.5777i	0.490962	−	1.07506i	0.979302	−	0.202403i	$-0.0648750\pi$
$810$	−35.1504	+	4.60998i	−1.23506	+	0.161978i
$811$	1.24441	+	2.72487i	0.0436970	+	0.0956830i	0.930222	−	0.366999i	$-0.119615\pi$
$811$	1.24441	+	2.72487i	0.0436970	+	0.0956830i	−0.886525	+	0.462682i	$0.846887\pi$
$812$	40.9936	−	17.5066i	1.43859	−	0.614361i
$813$	13.2479	−	1.90477i	0.464625	−	0.0668030i
$814$	3.49498	−	7.40856i	0.122499	−	0.259670i
$815$	−3.45622	+	3.98869i	−0.121066	+	0.139718i
$816$	−23.6344	+	9.40764i	−0.827368	+	0.329333i
$817$	52.1858	+	33.5378i	1.82575	+	1.17334i
$818$	34.3624	−	29.0375i	1.20145	−	1.01527i
$819$	−14.9369	+	50.8705i	−0.521938	+	1.77756i
$820$	−1.53578	+	9.07811i	−0.0536318	+	0.317021i
$821$	−3.65506	+	3.16713i	−0.127563	+	0.110534i	−0.716306	−	0.697787i	$-0.754168\pi$
$821$	−3.65506	+	3.16713i	−0.127563	+	0.110534i	0.588743	+	0.808320i	$0.299623\pi$
$822$	−2.35681	+	0.660407i	−0.0822032	+	0.0230343i
$823$	−6.49468	−	22.1189i	−0.226390	−	0.771015i	−0.991837	−	0.127515i	$-0.959300\pi$
$823$	−6.49468	−	22.1189i	−0.226390	−	0.771015i	0.765446	−	0.643500i	$-0.222518\pi$
$824$	−0.885988	+	0.711811i	−0.0308648	+	0.0247971i
$825$	17.9928	+	2.58697i	0.626428	+	0.0900667i
$826$	17.1525	−	7.57780i	0.596812	−	0.263665i
$827$		−	8.13621i		−	0.282924i	−0.989944	−	0.141462i	$-0.954820\pi$
$827$		−	8.13621i		−	0.282924i	0.989944	−	0.141462i	$-0.0451803\pi$
$828$	26.0931	−	15.8762i	0.906798	−	0.551735i
$829$			14.7504i			0.512302i	0.966637	+	0.256151i	$0.0824545\pi$
$829$			14.7504i			0.512302i	−0.966637	+	0.256151i	$0.917546\pi$
$830$	−6.40688	−	14.5021i	−0.222386	−	0.503376i
$831$	61.8958	+	8.89927i	2.14714	+	0.308712i
$832$	−6.47884	−	30.2135i	−0.224613	−	1.04747i
$833$	−8.34314	−	28.4141i	−0.289073	−	0.984491i
$834$	−6.55910	−	23.4076i	−0.227123	−	0.810540i
$835$	9.00423	−	7.80221i	0.311604	−	0.270007i
$836$	−3.73986	+	22.1066i	−0.129346	+	0.764572i
$837$	0.411614	−	1.40183i	0.0142275	−	0.0484543i
$838$	−7.67203	−	9.07895i	−0.265026	−	0.313627i
$839$	−0.130605	−	0.0839344i	−0.00450897	−	0.00289774i	0.538384	−	0.842699i	$-0.319035\pi$
$839$	−0.130605	−	0.0839344i	−0.00450897	−	0.00289774i	−0.542893	+	0.839802i	$0.682671\pi$
$840$	−45.9840	−	77.7642i	−1.58660	−	2.68312i
$841$	−1.48342	+	1.71196i	−0.0511524	+	0.0590330i
$842$	1.88676	+	0.890079i	0.0650221	+	0.0306741i
$843$	−36.9177	+	5.30796i	−1.27151	+	0.182816i
$844$	12.2457	+	28.6747i	0.421516	+	0.987025i
$845$	−2.37570	−	5.20207i	−0.0817267	−	0.178957i
$846$	3.75178	+	28.6068i	0.128989	+	0.983521i
$847$	13.3374	−	29.2049i	0.458279	−	1.00349i
$848$	12.3812	−	12.9338i	0.425172	−	0.444147i
$849$	−12.7518	−	19.8421i	−0.437639	−	0.680980i
$850$	2.16820	−	13.8586i	0.0743685	−	0.475345i
$851$	14.1439	+	4.15006i	0.484848	+	0.142262i
$852$	15.8192	−	49.3186i	0.541955	−	1.68963i
$853$	4.38159	+	6.81789i	0.150023	+	0.233440i	0.908128	−	0.418692i	$-0.137511\pi$
$853$	4.38159	+	6.81789i	0.150023	+	0.233440i	−0.758106	+	0.652132i	$0.773875\pi$
$854$	−19.9697	+	65.0186i	−0.683350	+	2.22489i
$855$	−51.3418	−	23.4470i	−1.75585	−	0.801870i
$856$	4.15380	−	22.8293i	0.141974	−	0.780291i
$857$	22.3198	+	48.8736i	0.762431	+	1.66949i	0.742643	+	0.669688i	$0.233572\pi$
$857$	22.3198	+	48.8736i	0.762431	+	1.66949i	0.0197885	+	0.999804i	$0.493701\pi$
$858$	−13.5727	−	21.7064i	−0.463364	−	0.741044i
$859$	3.38838	+	23.5667i	0.115610	+	0.804085i	0.962298	+	0.271996i	$0.0876837\pi$
$859$	3.38838	+	23.5667i	0.115610	+	0.804085i	−0.846688	+	0.532089i	$0.821407\pi$
$860$	34.8848	−	51.4328i	1.18956	−	1.75384i
$861$	10.8453	−	12.5162i	0.369608	−	0.426550i
$862$	−29.9365	−	26.5968i	−1.01964	−	0.905891i
$863$	−30.3220	+	47.1820i	−1.03217	+	1.60609i	−0.265439	+	0.964128i	$0.585517\pi$
$863$	−30.3220	+	47.1820i	−1.03217	+	1.60609i	−0.766734	+	0.641965i	$0.778120\pi$
$864$	2.58526	−	0.209424i	0.0879522	−	0.00712473i
$865$	−0.576704	+	1.96407i	−0.0196085	+	0.0667805i
$866$	−1.79779	−	0.0222827i	−0.0610914	−	0.000757197i
$867$	−17.0352	−	19.6597i	−0.578547	−	0.667679i
$868$	−27.2791	+	3.23428i	−0.925911	+	0.109779i
$869$	1.30451	+	4.44274i	0.0442523	+	0.150710i
$870$	−45.2163	−	29.8570i	−1.53298	−	1.01225i
$871$	−7.13648	+	49.6353i	−0.241810	+	1.68183i
$872$	11.9897	−	1.27106i	0.406022	−	0.0430434i
$873$		−	26.4027i		−	0.893596i
$874$	−40.3417	−	0.492195i	−1.36458	−	0.0166488i
$875$	−14.4025			−0.486893
$876$	49.7148	−	13.2684i	1.67971	−	0.448298i
$877$	31.3468	+	4.50699i	1.05851	+	0.152190i	0.649515	−	0.760349i	$-0.274972\pi$
$877$	31.3468	+	4.50699i	1.05851	+	0.152190i	0.408990	+	0.912539i	$0.365881\pi$
$878$	19.9467	+	13.1711i	0.673168	+	0.444503i
$879$	−24.3491	+	7.14953i	−0.821273	+	0.241148i
$880$	22.0475	+	4.29450i	0.743221	+	0.144767i
$881$	−9.64801	+	8.36005i	−0.325050	+	0.281657i	−0.802064	−	0.597239i	$-0.796265\pi$
$881$	−9.64801	+	8.36005i	−0.325050	+	0.281657i	0.477014	+	0.878896i	$0.341719\pi$
$882$	−0.646330	+	52.1465i	−0.0217631	+	1.75586i
$883$	16.2508	+	4.77167i	0.546884	+	0.160580i	0.543492	−	0.839415i	$-0.317102\pi$
$883$	16.2508	+	4.77167i	0.546884	+	0.160580i	0.00339235	+	0.999994i	$0.498920\pi$
$884$	−16.8786	+	10.2652i	−0.567688	+	0.345255i
$885$	−19.1757	−	12.3235i	−0.644584	−	0.414249i
$886$	42.5791	+	37.8291i	1.43047	+	1.27089i
$887$	1.95745	+	1.69614i	0.0657246	+	0.0569507i	0.687104	−	0.726559i	$-0.258882\pi$
$887$	1.95745	+	1.69614i	0.0657246	+	0.0569507i	−0.621379	+	0.783510i	$0.713427\pi$
$888$	15.8009	+	14.7549i	0.530243	+	0.495142i
$889$	−85.3194	+	12.2671i	−2.86152	+	0.411425i
$890$	14.2633	−	8.91866i	0.478108	−	0.298954i
$891$	−14.4219	+	6.58626i	−0.483152	+	0.220648i
$892$	−0.490224	+	19.7729i	−0.0164139	+	0.662044i
$893$	15.8315	−	34.6662i	0.529781	−	1.16006i
$894$	−18.1639	+	59.1391i	−0.607492	+	1.97791i
$895$	26.2705	−	16.8830i	0.878127	−	0.564338i
$896$	−22.7118	−	43.1561i	−0.758747	−	1.44175i
$897$	34.8089	−	30.1739i	1.16224	−	1.00748i
$898$	11.3735	+	1.77940i	0.379538	+	0.0593793i
$899$	−13.8602	+	8.90741i	−0.462263	+	0.297079i
$900$	−10.8154	+	22.2087i	−0.360515	+	0.740289i
$901$	−10.4122	−	4.75511i	−0.346882	−	0.158416i
$902$	0.535441	+	4.08266i	0.0178282	+	0.135938i
$903$	−101.685	+	46.4381i	−3.38388	+	1.54536i
$904$	−9.43994	+	2.39451i	−0.313968	+	0.0796401i
$905$	2.25589	+	15.6901i	0.0749884	+	0.521556i
$906$	24.3070	−	51.5253i	0.807547	−	1.71181i
$907$	0.709405	+	0.614703i	0.0235554	+	0.0204109i	0.666559	−	0.745452i	$-0.267766\pi$
$907$	0.709405	+	0.614703i	0.0235554	+	0.0204109i	−0.643004	+	0.765863i	$0.722312\pi$
$908$	−34.8116	+	28.6851i	−1.15526	+	0.951949i
$909$	7.40311	−	11.5195i	0.245546	−	0.382077i
$910$	−45.2843	−	53.5886i	−1.50116	−	1.77645i
$911$	16.3098	+	4.78898i	0.540367	+	0.158666i	0.540516	−	0.841334i	$-0.318229\pi$
$911$	16.3098	+	4.78898i	0.540367	+	0.158666i	−0.000148697		1.00000i	$0.500047\pi$
$912$	−52.5404	−	27.2180i	−1.73979	−	0.901277i
$913$	−4.64322	−	5.35857i	−0.153668	−	0.177343i
$914$	8.77368	−	2.45849i	0.290207	−	0.0813197i
$915$	79.3295	−	23.2932i	2.62255	−	0.770051i
$916$	3.82742	−	4.20196i	0.126461	−	0.138837i
$917$	−5.01290	+	34.8655i	−0.165541	+	1.15136i
$918$	−0.670095	−	1.51677i	−0.0221164	−	0.0500610i
$919$	−23.3032			−0.768703			−0.384351	−	0.923187i	$-0.625575\pi$
$919$	−23.3032			−0.768703			−0.384351	+	0.923187i	$0.625575\pi$
$920$	−1.49466	+	40.3911i	−0.0492774	+	1.33165i
$921$	−29.2425			−0.963573
$922$	18.9753	+	42.9511i	0.624919	+	1.41452i
$923$	5.72429	−	39.8133i	0.188417	−	1.31047i
$924$	−29.8695	−	27.2072i	−0.982636	−	0.895050i
$925$	−11.4384	+	3.35860i	−0.376091	+	0.110430i
$926$	39.0953	−	10.9550i	1.28475	−	0.360003i
$927$	−0.837916	−	0.967007i	−0.0275208	−	0.0317607i
$928$	−23.5794	−	17.3068i	−0.774032	−	0.568122i
$929$	34.6074	+	10.1616i	1.13543	+	0.333393i	0.794840	−	0.606819i	$-0.207555\pi$
$929$	34.6074	+	10.1616i	1.13543	+	0.333393i	0.340591	+	0.940212i	$0.389373\pi$
$930$	21.5526	+	25.5050i	0.706737	+	0.836341i
$931$	37.2422	−	57.9500i	1.22056	−	1.89924i
$932$	−19.4460	−	23.5992i	−0.636974	−	0.773018i
$933$	−49.4186	−	42.8214i	−1.61789	−	1.40191i
$934$	−9.08302	+	19.2539i	−0.297206	+	0.630007i
$935$	−2.04366	−	14.2140i	−0.0668348	−	0.464847i
$936$	33.7211	−	8.55361i	1.10221	−	0.279584i
$937$	5.69729	−	2.60187i	0.186122	−	0.0849993i	−0.320174	−	0.947359i	$-0.603741\pi$
$937$	5.69729	−	2.60187i	0.186122	−	0.0849993i	0.506297	+	0.862359i	$0.331014\pi$
$938$	10.2912	+	78.4690i	0.336020	+	2.56210i
$939$	−20.9777	−	9.58020i	−0.684581	−	0.312638i
$940$	−34.3260	−	16.7165i	−1.11959	−	0.545232i
$941$	−41.9619	+	26.9673i	−1.36792	+	0.879109i	−0.998737	−	0.0502474i	$-0.983999\pi$
$941$	−41.9619	+	26.9673i	−1.36792	+	0.879109i	−0.369184	+	0.929356i	$0.620363\pi$
$942$	38.1073	+	5.96194i	1.24160	+	0.194251i
$943$	−7.10887	+	2.08885i	−0.231496	+	0.0680222i
$944$	−10.0088	−	7.15708i	−0.325759	−	0.232943i
$945$	4.95423	−	3.18389i	0.161161	−	0.103572i
$946$	8.16027	−	26.5687i	0.265313	−	0.863823i
$947$	−21.1580	+	46.3295i	−0.687542	+	1.50551i	0.166908	+	0.985973i	$0.446622\pi$
$947$	−21.1580	+	46.3295i	−0.687542	+	1.50551i	−0.854450	+	0.519534i	$0.826105\pi$
$948$	−12.2164	−	0.302878i	−0.396769	−	0.00983701i
$949$	36.3487	−	16.5999i	1.17993	−	0.538855i
$950$	27.6658	−	17.2990i	0.897597	−	0.561255i
$951$	37.6967	−	5.41996i	1.22240	−	0.175754i
$952$	−21.2788	+	22.7873i	−0.689651	+	0.738541i
$953$	37.3007	+	32.3212i	1.20829	+	1.04699i	0.997586	+	0.0694360i	$0.0221200\pi$
$953$	37.3007	+	32.3212i	1.20829	+	1.04699i	0.210701	+	0.977551i	$0.432425\pi$
$954$	15.0695	+	13.3884i	0.487894	+	0.433465i
$955$	−11.0353	−	7.09198i	−0.357095	−	0.229491i
$956$	2.28754	+	3.76130i	0.0739844	+	0.121649i
$957$	−23.2509	−	6.82708i	−0.751594	−	0.220688i
$958$	0.227765	−	18.3763i	0.00735874	−	0.593710i
$959$	−2.26715	+	1.96449i	−0.0732100	+	0.0634368i
$960$	−28.5642	+	51.9448i	−0.921904	+	1.67651i
$961$	−20.0022	+	5.87319i	−0.645233	+	0.189458i
$962$	14.0104	+	9.25125i	0.451712	+	0.298272i
$963$	25.8584	+	3.71788i	0.833275	+	0.119807i
$964$	−9.45490	−	35.4261i	−0.304522	−	1.14100i
$965$	72.7467			2.34180
$966$	40.0495	−	60.6777i	1.28857	−	1.95227i
$967$			3.30164i			0.106173i	0.998590	+	0.0530867i	$0.0169060\pi$
$967$			3.30164i			0.106173i	−0.998590	+	0.0530867i	$0.983094\pi$
$968$	−20.9499	+	2.22095i	−0.673355	+	0.0713840i
$969$	−5.38367	+	37.4443i	−0.172948	+	1.20288i
$970$	29.1564	+	19.2524i	0.936154	+	0.618157i
$971$	−4.43427	−	15.1018i	−0.142303	−	0.484638i	0.857239	−	0.514919i	$-0.172178\pi$
$971$	−4.43427	−	15.1018i	−0.142303	−	0.484638i	−0.999541	+	0.0302808i	$0.990360\pi$
$972$	−5.25042	−	44.2839i	−0.168407	−	1.42041i
$973$	−19.5112	−	22.5171i	−0.625500	−	0.721865i
$974$	0.377049	+	0.00467334i	0.0120814	+	0.000149743i
$975$	−10.4964	+	35.7475i	−0.336154	+	1.14483i
$976$	43.3931	−	10.4363i	1.38898	−	0.334059i
$977$	−4.34883	+	6.76691i	−0.139131	+	0.216493i	−0.903826	−	0.427900i	$-0.859253\pi$
$977$	−4.34883	+	6.76691i	−0.139131	+	0.216493i	0.764695	+	0.644393i	$0.222890\pi$
$978$	−4.65689	−	4.13738i	−0.148911	−	0.132299i
$979$	4.92667	−	5.68568i	0.157457	−	0.181715i
$980$	−57.1138	−	38.7381i	−1.82443	−	1.23744i
$981$	1.93181	+	13.4360i	0.0616779	+	0.428979i
$982$	−26.5108	−	42.3978i	−0.845992	−	1.35297i
$983$	−11.5727	−	25.3408i	−0.369113	−	0.808245i	−0.999489	−	0.0319554i	$-0.989827\pi$
$983$	−11.5727	−	25.3408i	−0.369113	−	0.808245i	0.630376	−	0.776290i	$-0.282901\pi$
$984$	−10.6915	−	1.94533i	−0.340833	−	0.0620147i
$985$	54.1917	+	24.7485i	1.72669	+	0.788554i
$986$	−5.49017	+	17.8752i	−0.174843	+	0.569263i
$987$	37.1292	+	57.7742i	1.18184	+	1.83897i
$988$	−43.7569	−	14.0352i	−1.39209	−	0.446519i
$989$	49.5053	+	7.10799i	1.57418	+	0.226021i
$990$	−3.90889	+	24.9847i	−0.124233	+	0.794065i
$991$	−3.56990	−	5.55487i	−0.113401	−	0.176456i	0.779913	−	0.625887i	$-0.215263\pi$
$991$	−3.56990	−	5.55487i	−0.113401	−	0.176456i	−0.893315	+	0.449431i	$0.851627\pi$
$992$	10.9377	+	14.3274i	0.347272	+	0.454895i
$993$	0.662829	−	1.45139i	0.0210342	−	0.0460586i
$994$	−8.25476	−	62.9413i	−0.261825	−	1.99638i
$995$	−29.3833	−	64.3405i	−0.931514	−	2.03973i
$996$	17.2091	−	7.34927i	0.545292	−	0.232871i
$997$	31.6076	−	4.54449i	1.00102	−	0.143926i	0.377732	−	0.925915i	$-0.376704\pi$
$997$	31.6076	−	4.54449i	1.00102	−	0.143926i	0.623292	+	0.781989i	$0.285795\pi$
$998$	35.8860	+	16.9292i	1.13595	+	0.535885i
$999$	−0.922865	+	1.06504i	−0.0291981	+	0.0336965i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.11.4	✓	220
4.3	odd	2		736.2.r.a.655.19		220
8.3	odd	2	inner	184.2.j.a.11.6	yes	220
8.5	even	2		736.2.r.a.655.20		220
23.21	odd	22	inner	184.2.j.a.67.6	yes	220
92.67	even	22		736.2.r.a.527.20		220
184.21	odd	22		736.2.r.a.527.19		220
184.67	even	22	inner	184.2.j.a.67.4	yes	220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.11.4	✓	220	1.1	even	1	trivial
184.2.j.a.11.6	yes	220	8.3	odd	2	inner
184.2.j.a.67.4	yes	220	184.67	even	22	inner
184.2.j.a.67.6	yes	220	23.21	odd	22	inner
736.2.r.a.527.19		220	184.21	odd	22
736.2.r.a.527.20		220	92.67	even	22
736.2.r.a.655.19		220	4.3	odd	2
736.2.r.a.655.20		220	8.5	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
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+(-1.29360 + 0.571497i) q^{2} +(-0.353914 + 2.46153i) q^{3} +(1.34678 - 1.47857i) q^{4} +(-2.85901 + 0.839481i) q^{5} +(-0.948934 - 3.38648i) q^{6} +(-2.82277 - 3.25765i) q^{7} +(-0.897191 + 2.68236i) q^{8} +(-3.05539 - 0.897142i) q^{9} +(3.21864 - 2.71986i) q^{10} +(1.01887 - 1.58540i) q^{11} +(3.16290 + 3.83843i) q^{12} +(2.91912 + 2.52943i) q^{13} +(5.51326 + 2.60088i) q^{14} +(-1.05456 - 7.33463i) q^{15} +(-0.372357 - 3.98263i) q^{16} +(-2.32616 + 1.06232i) q^{17} +(4.46515 - 0.585605i) q^{18} +(-5.41094 - 2.47109i) q^{19} +(-2.60923 + 5.35785i) q^{20} +(9.01781 - 5.79539i) q^{21} +(-0.411960 + 2.63315i) q^{22} +(-4.79583 + 0.000929425i) q^{23} +(-6.28517 - 3.15779i) q^{24} +(3.26294 - 2.09696i) q^{25} +(-5.22172 - 1.60379i) q^{26} +(0.190472 - 0.417076i) q^{27} +(-8.61832 - 0.213672i) q^{28} +(-4.70331 + 2.14793i) q^{29} +(5.55590 + 8.88538i) q^{30} +(3.15400 - 0.453476i) q^{31} +(2.75774 + 4.93912i) q^{32} +(3.54191 + 3.06908i) q^{33} +(2.40199 - 2.70361i) q^{34} +(10.8051 + 6.94398i) q^{35} +(-5.44143 + 3.30936i) q^{36} +(-2.94905 - 0.865918i) q^{37} +(8.41180 + 0.104260i) q^{38} +(-7.25938 + 6.29029i) q^{39} +(0.313290 - 8.42206i) q^{40} +(1.48239 - 0.435268i) q^{41} +(-8.35335 + 12.6506i) q^{42} +(-10.3223 - 1.48412i) q^{43} +(-0.971927 - 3.64167i) q^{44} +9.48851 q^{45} +(6.20334 - 2.74201i) q^{46} +6.40668i q^{47} +(9.93514 + 0.492943i) q^{48} +(-1.64805 + 11.4624i) q^{49} +(-3.02251 + 4.57738i) q^{50} +(-1.79167 - 6.10187i) q^{51} +(7.67136 - 0.909539i) q^{52} +(2.93126 + 3.38285i) q^{53} +(-0.00803636 + 0.648382i) q^{54} +(-1.58206 + 5.38799i) q^{55} +(11.2707 - 4.64894i) q^{56} +(7.99768 - 12.4446i) q^{57} +(4.85665 - 5.46648i) q^{58} +(2.01443 - 2.32477i) q^{59} +(-12.2651 - 8.31891i) q^{60} +(1.58789 + 11.0440i) q^{61} +(-3.82084 + 2.38911i) q^{62} +(5.70207 + 12.4858i) q^{63} +(-6.39009 - 4.81318i) q^{64} +(-10.4692 - 4.78112i) q^{65} +(-6.33577 - 1.94596i) q^{66} +(7.01890 + 10.9216i) q^{67} +(-1.56211 + 4.87011i) q^{68} +(1.69503 - 11.8054i) q^{69} +(-17.9458 - 2.80766i) q^{70} +(-5.62998 - 8.76041i) q^{71} +(5.14772 - 7.39073i) q^{72} +(4.29765 - 9.41054i) q^{73} +(4.30975 - 0.565224i) q^{74} +(4.00693 + 8.77395i) q^{75} +(-10.9411 + 4.67245i) q^{76} +(-8.04072 + 1.15608i) q^{77} +(5.79582 - 12.2858i) q^{78} +(-1.60896 + 1.85684i) q^{79} +(4.40791 + 11.0738i) q^{80} +(-7.07737 - 4.54835i) q^{81} +(-1.66885 + 1.41024i) q^{82} +(1.05998 - 3.60995i) q^{83} +(3.57611 - 21.1386i) q^{84} +(5.75870 - 4.98995i) q^{85} +(14.2010 - 3.97930i) q^{86} +(-3.62262 - 12.3375i) q^{87} +(3.33848 + 4.15539i) q^{88} +(3.95139 + 0.568124i) q^{89} +(-12.2743 + 5.42265i) q^{90} -16.6495i q^{91} +(-6.45756 + 7.09224i) q^{92} +7.92414i q^{93} +(-3.66140 - 8.28765i) q^{94} +(17.5444 + 2.52250i) q^{95} +(-13.1338 + 5.04024i) q^{96} +(2.33594 + 7.95547i) q^{97} +(-4.41883 - 15.7696i) q^{98} +(-4.53538 + 3.92993i) 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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