LMFDB - Embedded newform 184.2.j.a.11.19

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			11.19
Character	$\chi$	$=$	184.11
Dual form			184.2.j.a.67.19

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.20735 + 0.736416i) q^{2} +(0.394507 - 2.74385i) q^{3} +(0.915382 + 1.77822i) q^{4} +(-0.121643 + 0.0357177i) q^{5} +(2.49693 - 3.02227i) q^{6} +(0.745341 + 0.860169i) q^{7} +(-0.204326 + 2.82104i) q^{8} +(-4.49462 - 1.31974i) q^{9} +(-0.173169 - 0.0464564i) q^{10} +(1.33538 - 2.07789i) q^{11} +(5.24031 - 1.81016i) q^{12} +(-2.08221 - 1.80425i) q^{13} +(0.266444 + 1.58741i) q^{14} +(0.0500150 + 0.347862i) q^{15} +(-2.32415 + 3.25551i) q^{16} +(-2.81621 + 1.28612i) q^{17} +(-4.45470 - 4.90330i) q^{18} +(2.92642 + 1.33645i) q^{19} +(-0.174864 - 0.183613i) q^{20} +(2.65422 - 1.70576i) q^{21} +(3.14245 - 1.52534i) q^{22} +(-0.123371 + 4.79424i) q^{23} +(7.65991 + 1.67356i) q^{24} +(-4.19275 + 2.69451i) q^{25} +(-1.18528 - 3.71173i) q^{26} +(-1.93965 + 4.24724i) q^{27} +(-0.847300 + 2.11277i) q^{28} +(-8.33838 + 3.80801i) q^{29} +(-0.195786 + 0.456823i) q^{30} +(-1.71599 + 0.246722i) q^{31} +(-5.20347 + 2.21899i) q^{32} +(-5.17460 - 4.48382i) q^{33} +(-4.34727 - 0.521107i) q^{34} +(-0.121389 - 0.0780120i) q^{35} +(-1.76751 - 9.20050i) q^{36} +(10.4892 + 3.07991i) q^{37} +(2.54903 + 3.76863i) q^{38} +(-5.77203 + 5.00149i) q^{39} +(-0.0759061 - 0.350458i) q^{40} +(6.52470 - 1.91583i) q^{41} +(4.46072 - 0.104841i) q^{42} +(2.59006 + 0.372394i) q^{43} +(4.91732 + 0.472536i) q^{44} +0.593878 q^{45} +(-3.67951 + 5.69747i) q^{46} -5.19924i q^{47} +(8.01574 + 7.66145i) q^{48} +(0.811846 - 5.64651i) q^{49} +(-7.04639 + 0.165613i) q^{50} +(2.41791 + 8.23466i) q^{51} +(1.30233 - 5.35421i) q^{52} +(-6.91117 - 7.97591i) q^{53} +(-5.46957 + 3.69951i) q^{54} +(-0.0882223 + 0.300457i) q^{55} +(-2.57886 + 1.92688i) q^{56} +(4.82152 - 7.50243i) q^{57} +(-12.8716 - 1.54292i) q^{58} +(2.09846 - 2.42175i) q^{59} +(-0.572793 + 0.407365i) q^{60} +(-1.31674 - 9.15814i) q^{61} +(-2.25349 - 0.965802i) q^{62} +(-2.21482 - 4.84979i) q^{63} +(-7.91650 - 1.15282i) q^{64} +(0.317730 + 0.145103i) q^{65} +(-2.94559 - 9.22419i) q^{66} +(2.98795 + 4.64934i) q^{67} +(-4.86492 - 3.83056i) q^{68} +(13.1060 + 2.22987i) q^{69} +(-0.0891096 - 0.183580i) q^{70} +(-5.53873 - 8.61844i) q^{71} +(4.64140 - 12.4098i) q^{72} +(-3.44824 + 7.55060i) q^{73} +(10.3960 + 11.4430i) q^{74} +(5.73929 + 12.5673i) q^{75} +(0.302286 + 6.42719i) q^{76} +(2.78264 - 0.400084i) q^{77} +(-10.6520 + 1.78793i) q^{78} +(6.11237 - 7.05406i) q^{79} +(0.166438 - 0.479024i) q^{80} +(-0.933622 - 0.600003i) q^{81} +(9.28844 + 2.49183i) q^{82} +(4.35361 - 14.8270i) q^{83} +(5.46285 + 3.15837i) q^{84} +(0.296636 - 0.257037i) q^{85} +(2.85287 + 2.35697i) q^{86} +(7.15908 + 24.3816i) q^{87} +(5.58894 + 4.19171i) q^{88} +(-1.33244 - 0.191576i) q^{89} +(0.717018 + 0.437341i) q^{90} -3.13583i q^{91} +(-8.63816 + 4.16919i) q^{92} +4.80575i q^{93} +(3.82881 - 6.27730i) q^{94} +(-0.403714 - 0.0580454i) q^{95} +(4.03579 + 15.1530i) q^{96} +(4.38907 + 14.9478i) q^{97} +(5.13836 - 6.21945i) q^{98} +(-8.74428 + 7.57696i) 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 $

$2$	1.20735	+	0.736416i	0.853725	+	0.520725i
$2$	1.20735	+	0.736416i	0.853725	+	0.520725i
$3$	0.394507	−	2.74385i	0.227768	−	1.58416i	−0.479708	−	0.877428i	$-0.659258\pi$
$3$	0.394507	−	2.74385i	0.227768	−	1.58416i	0.707477	−	0.706737i	$-0.249833\pi$
$4$	0.915382	+	1.77822i	0.457691	+	0.889111i
$5$	−0.121643	+	0.0357177i	−0.0544005	+	0.0159734i	−0.308820	−	0.951121i	$-0.599934\pi$
$5$	−0.121643	+	0.0357177i	−0.0544005	+	0.0159734i	0.254419	+	0.967094i	$0.418116\pi$
$6$	2.49693	−	3.02227i	1.01937	−	1.23384i
$7$	0.745341	+	0.860169i	0.281712	+	0.325113i	0.878916	−	0.476976i	$-0.158267\pi$
$7$	0.745341	+	0.860169i	0.281712	+	0.325113i	−0.597204	+	0.802089i	$0.703722\pi$
$8$	−0.204326	+	2.82104i	−0.0722401	+	0.997387i
$9$	−4.49462	−	1.31974i	−1.49821	−	0.439913i
$10$	−0.173169	−	0.0464564i	−0.0547608	−	0.0146908i
$11$	1.33538	−	2.07789i	0.402631	−	0.626506i	−0.579440	−	0.815015i	$-0.696729\pi$
$11$	1.33538	−	2.07789i	0.402631	−	0.626506i	0.982072	+	0.188508i	$0.0603652\pi$
$12$	5.24031	−	1.81016i	1.51275	−	0.522547i
$13$	−2.08221	−	1.80425i	−0.577501	−	0.500408i	0.316428	−	0.948617i	$-0.397517\pi$
$13$	−2.08221	−	1.80425i	−0.577501	−	0.500408i	−0.893929	+	0.448209i	$0.852062\pi$
$14$	0.266444	+	1.58741i	0.0712101	+	0.424252i
$15$	0.0500150	+	0.347862i	0.0129138	+	0.0898176i
$16$	−2.32415	+	3.25551i	−0.581037	+	0.813877i
$17$	−2.81621	+	1.28612i	−0.683032	+	0.311930i	−0.726541	−	0.687123i	$-0.758873\pi$
$17$	−2.81621	+	1.28612i	−0.683032	+	0.311930i	0.0435095	+	0.999053i	$0.486146\pi$
$18$	−4.45470	−	4.90330i	−1.04998	−	1.15572i
$19$	2.92642	+	1.33645i	0.671367	+	0.306603i	0.721777	−	0.692126i	$-0.243326\pi$
$19$	2.92642	+	1.33645i	0.671367	+	0.306603i	−0.0504101	+	0.998729i	$0.516053\pi$
$20$	−0.174864	−	0.183613i	−0.0391008	−	0.0410572i
$21$	2.65422	−	1.70576i	0.579198	−	0.372228i
$22$	3.14245	−	1.52534i	0.669974	−	0.325204i
$23$	−0.123371	+	4.79424i	−0.0257247	+	0.999669i
$23$	−0.123371	+	4.79424i	−0.0257247	+	0.999669i
$24$	7.65991	+	1.67356i	1.56357	+	0.341614i
$25$	−4.19275	+	2.69451i	−0.838549	+	0.538903i
$26$	−1.18528	−	3.71173i	−0.232452	−	0.727929i
$27$	−1.93965	+	4.24724i	−0.373286	+	0.817382i
$28$	−0.847300	+	2.11277i	−0.160125	+	0.399275i
$29$	−8.33838	+	3.80801i	−1.54840	+	0.707130i	−0.992285	−	0.123976i	$-0.960435\pi$
$29$	−8.33838	+	3.80801i	−1.54840	+	0.707130i	−0.556114	+	0.831106i	$0.687708\pi$
$30$	−0.195786	+	0.456823i	−0.0357454	+	0.0834041i
$31$	−1.71599	+	0.246722i	−0.308201	+	0.0443125i	−0.294680	−	0.955596i	$-0.595213\pi$
$31$	−1.71599	+	0.246722i	−0.308201	+	0.0443125i	−0.0135207	+	0.999909i	$0.504304\pi$
$32$	−5.20347	+	2.21899i	−0.919852	+	0.392266i
$33$	−5.17460	−	4.48382i	−0.900782	−	0.780532i
$34$	−4.34727	−	0.521107i	−0.745551	−	0.0893692i
$35$	−0.121389	−	0.0780120i	−0.0205185	−	0.0131864i
$36$	−1.76751	−	9.20050i	−0.294584	−	1.53342i
$37$	10.4892	+	3.07991i	1.72442	+	0.506334i	0.985819	−	0.167812i	$-0.0536703\pi$
$37$	10.4892	+	3.07991i	1.72442	+	0.506334i	0.738597	+	0.674147i	$0.235488\pi$
$38$	2.54903	+	3.76863i	0.413507	+	0.611352i
$39$	−5.77203	+	5.00149i	−0.924265	+	0.800880i
$40$	−0.0759061	−	0.350458i	−0.0120018	−	0.0554123i
$41$	6.52470	−	1.91583i	1.01899	−	0.299202i	0.270762	−	0.962646i	$-0.412724\pi$
$41$	6.52470	−	1.91583i	1.01899	−	0.299202i	0.748225	+	0.663445i	$0.230906\pi$
$42$	4.46072	−	0.104841i	0.688304	−	0.0161774i
$43$	2.59006	+	0.372394i	0.394980	+	0.0567896i	0.336944	−	0.941525i	$-0.390607\pi$
$43$	2.59006	+	0.372394i	0.394980	+	0.0567896i	0.0580368	+	0.998314i	$0.481516\pi$
$44$	4.91732	+	0.472536i	0.741315	+	0.0712374i
$45$	0.593878			0.0885301
$46$	−3.67951	+	5.69747i	−0.542514	+	0.840047i
$47$		−	5.19924i		−	0.758388i	−0.925317	−	0.379194i	$-0.876201\pi$
$47$		−	5.19924i		−	0.758388i	0.925317	−	0.379194i	$-0.123799\pi$
$48$	8.01574	+	7.66145i	1.15697	+	1.10583i
$49$	0.811846	−	5.64651i	0.115978	−	0.806644i
$50$	−7.04639	+	0.165613i	−0.996510	+	0.0234212i
$51$	2.41791	+	8.23466i	0.338576	+	1.15308i
$52$	1.30233	−	5.35421i	0.180601	−	0.742495i
$53$	−6.91117	−	7.97591i	−0.949322	−	1.09558i	−0.995320	−	0.0966346i	$-0.969192\pi$
$53$	−6.91117	−	7.97591i	−0.949322	−	1.09558i	0.0459978	−	0.998942i	$-0.485353\pi$
$54$	−5.46957	+	3.69951i	−0.744314	+	0.503440i
$55$	−0.0882223	+	0.300457i	−0.0118959	+	0.0405137i
$56$	−2.57886	+	1.92688i	−0.344615	+	0.257490i
$57$	4.82152	−	7.50243i	0.638626	−	0.993721i
$58$	−12.8716	−	1.54292i	−1.69013	−	0.202596i
$59$	2.09846	−	2.42175i	0.273196	−	0.315285i	−0.602527	−	0.798098i	$-0.705840\pi$
$59$	2.09846	−	2.42175i	0.273196	−	0.315285i	0.875723	+	0.482813i	$0.160385\pi$
$60$	−0.572793	+	0.407365i	−0.0739473	+	0.0525906i
$61$	−1.31674	−	9.15814i	−0.168591	−	1.17258i	−0.881799	−	0.471626i	$-0.843667\pi$
$61$	−1.31674	−	9.15814i	−0.168591	−	1.17258i	0.713207	−	0.700953i	$-0.247242\pi$
$62$	−2.25349	−	0.965802i	−0.286193	−	0.122657i
$63$	−2.21482	−	4.84979i	−0.279042	−	0.611016i
$64$	−7.91650	−	1.15282i	−0.989563	−	0.144103i
$65$	0.317730	+	0.145103i	0.0394096	+	0.0179978i
$66$	−2.94559	−	9.22419i	−0.362577	−	1.13542i
$67$	2.98795	+	4.64934i	0.365036	+	0.568007i	0.974383	−	0.224897i	$-0.0722046\pi$
$67$	2.98795	+	4.64934i	0.365036	+	0.568007i	−0.609347	+	0.792904i	$0.708568\pi$
$68$	−4.86492	−	3.83056i	−0.589958	−	0.464523i
$69$	13.1060	+	2.22987i	1.57778	+	0.268445i
$70$	−0.0891096	−	0.183580i	−0.0106506	−	0.0219421i
$71$	−5.53873	−	8.61844i	−0.657327	−	1.02282i	−0.996621	−	0.0821401i	$-0.973824\pi$
$71$	−5.53873	−	8.61844i	−0.657327	−	1.02282i	0.339294	−	0.940680i	$-0.389812\pi$
$72$	4.64140	−	12.4098i	0.546994	−	1.46251i
$73$	−3.44824	+	7.55060i	−0.403586	+	0.883731i	0.593308	+	0.804976i	$0.297822\pi$
$73$	−3.44824	+	7.55060i	−0.403586	+	0.883731i	−0.996894	+	0.0787550i	$0.974906\pi$
$74$	10.3960	+	11.4430i	1.20852	+	1.33022i
$75$	5.73929	+	12.5673i	0.662716	+	1.45115i
$76$	0.302286	+	6.42719i	0.0346746	+	0.737250i
$77$	2.78264	−	0.400084i	0.317112	−	0.0455938i
$78$	−10.6520	+	1.78793i	−1.20611	+	0.202443i
$79$	6.11237	−	7.05406i	0.687696	−	0.793643i	−0.299340	−	0.954147i	$-0.596766\pi$
$79$	6.11237	−	7.05406i	0.687696	−	0.793643i	0.987035	+	0.160503i	$0.0513118\pi$
$80$	0.166438	−	0.479024i	0.0186083	−	0.0535565i
$81$	−0.933622	−	0.600003i	−0.103736	−	0.0666670i
$82$	9.28844	+	2.49183i	1.02574	+	0.275176i
$83$	4.35361	−	14.8270i	0.477871	−	1.62748i	−0.269449	−	0.963015i	$-0.586841\pi$
$83$	4.35361	−	14.8270i	0.477871	−	1.62748i	0.747320	−	0.664465i	$-0.231340\pi$
$84$	5.46285	+	3.15837i	0.596046	+	0.344606i
$85$	0.296636	−	0.257037i	0.0321747	−	0.0278795i
$86$	2.85287	+	2.35697i	0.307633	+	0.254159i
$87$	7.15908	+	24.3816i	0.767534	+	2.61398i
$88$	5.58894	+	4.19171i	0.595783	+	0.446838i
$89$	−1.33244	−	0.191576i	−0.141238	−	0.0203070i	0.0713332	−	0.997453i	$-0.477275\pi$
$89$	−1.33244	−	0.191576i	−0.141238	−	0.0203070i	−0.212571	+	0.977146i	$0.568184\pi$
$90$	0.717018	+	0.437341i	0.0755803	+	0.0460998i
$91$		−	3.13583i		−	0.328724i
$92$	−8.63816	+	4.16919i	−0.900591	+	0.434668i
$93$			4.80575i			0.498333i
$94$	3.82881	−	6.27730i	0.394911	−	0.647454i
$95$	−0.403714	−	0.0580454i	−0.0414202	−	0.00595533i
$96$	4.03579	+	15.1530i	0.411901	+	1.54654i
$97$	4.38907	+	14.9478i	0.445643	+	1.51772i	0.809983	+	0.586453i	$0.199476\pi$
$97$	4.38907	+	14.9478i	0.445643	+	1.51772i	−0.364340	+	0.931266i	$0.618706\pi$
$98$	5.13836	−	6.21945i	0.519053	−	0.628260i
$99$	−8.74428	+	7.57696i	−0.878833	+	0.761513i
$100$	−8.62941	−	4.98912i	−0.862941	−	0.498912i
$101$	−1.79940	+	6.12820i	−0.179047	+	0.609779i	0.820240	+	0.572020i	$0.193840\pi$
$101$	−1.79940	+	6.12820i	−0.179047	+	0.609779i	−0.999287	+	0.0377587i	$0.987978\pi$
$102$	−3.14487	+	11.7227i	−0.311388	+	1.16072i
$103$	14.4169	+	9.26517i	1.42054	+	0.912925i	0.999984	+	0.00565745i	$0.00180083\pi$
$103$	14.4169	+	9.26517i	1.42054	+	0.912925i	0.420555	+	0.907267i	$0.361836\pi$
$104$	5.51529	−	5.50534i	0.540819	−	0.539843i
$105$	−0.261942	+	0.302297i	−0.0255629	+	0.0295012i
$106$	−2.47060	−	14.7192i	−0.239966	−	1.42966i
$107$	−13.9681	+	2.00831i	−1.35035	+	0.194151i	−0.779242	−	0.626724i	$-0.784396\pi$
$107$	−13.9681	+	2.00831i	−1.35035	+	0.194151i	−0.571108	+	0.820875i	$0.693486\pi$
$108$	−9.32806	+	0.438721i	−0.897593	+	0.0422159i
$109$	−2.97746	−	6.51973i	−0.285189	−	0.624477i	0.711769	−	0.702413i	$-0.247894\pi$
$109$	−2.97746	−	6.51973i	−0.285189	−	0.624477i	−0.996958	+	0.0779362i	$0.975167\pi$
$110$	−0.327777	+	0.297789i	−0.0312523	+	0.0283930i
$111$	12.5889	−	27.5658i	1.19488	−	2.61643i
$112$	−4.53257	+	0.427300i	−0.428288	+	0.0403761i
$113$	8.37622	+	13.0336i	0.787968	+	1.22610i	0.970071	+	0.242823i	$0.0780733\pi$
$113$	8.37622	+	13.0336i	0.787968	+	1.22610i	−0.182103	+	0.983280i	$0.558290\pi$
$114$	11.3462	−	5.50741i	1.06267	−	0.515816i
$115$	−0.156232	−	0.587594i	−0.0145687	−	0.0547934i
$116$	−14.4043	−	11.3417i	−1.33741	−	1.05305i
$117$	6.97761	+	10.8574i	0.645080	+	1.00376i
$118$	4.31699	−	1.37856i	0.397411	−	0.126907i
$119$	−3.20532	−	1.46382i	−0.293831	−	0.134188i
$120$	−0.991552	+	0.0700171i	−0.0905159	+	0.00639165i
$121$	2.03518	+	4.45643i	0.185017	+	0.405130i
$122$	5.15443	−	12.0267i	0.466661	−	1.08885i
$123$	−2.68271	−	18.6586i	−0.241891	−	1.68239i
$124$	−2.00951	−	2.82556i	−0.180459	−	0.253743i
$125$	0.828890	−	0.956590i	0.0741381	−	0.0855600i
$126$	0.897397	−	7.48642i	0.0799465	−	0.666943i
$127$	3.06236	−	4.76513i	0.271741	−	0.422837i	−0.678384	−	0.734708i	$-0.737319\pi$
$127$	3.06236	−	4.76513i	0.271741	−	0.422837i	0.950124	+	0.311871i	$0.100956\pi$
$128$	−8.70902	−	7.22170i	−0.769776	−	0.638314i
$129$	2.04359	−	6.95983i	0.179928	−	0.612779i
$130$	0.276755	+	0.409171i	0.0242731	+	0.0358867i
$131$	−5.30408	−	6.12124i	−0.463420	−	0.534815i	0.475150	−	0.879905i	$-0.342394\pi$
$131$	−5.30408	−	6.12124i	−0.463420	−	0.534815i	−0.938570	+	0.345090i	$0.887848\pi$
$132$	3.23649	−	13.3060i	0.281700	−	1.15814i
$133$	1.03161	+	3.51333i	0.0894516	+	0.304644i
$134$	0.183648	+	7.81374i	0.0158648	+	0.675005i
$135$	0.0842437	−	0.585928i	0.00725055	−	0.0504287i
$136$	−3.05277	−	8.20743i	−0.261773	−	0.703781i
$137$			5.71935i			0.488637i	0.969695	+	0.244318i	$0.0785642\pi$
$137$			5.71935i			0.488637i	−0.969695	+	0.244318i	$0.921436\pi$
$138$	14.1814	+	12.3437i	1.20720	+	1.05077i
$139$	6.14524			0.521233			0.260616	−	0.965442i	$-0.416074\pi$
$139$	6.14524			0.521233			0.260616	+	0.965442i	$0.416074\pi$
$140$	0.0276053	−	0.287267i	0.00233307	−	0.0242785i
$141$	−14.2660	−	2.05114i	−1.20141	−	0.172737i
$142$	−0.340427	−	14.4843i	−0.0285680	−	1.21549i
$143$	−6.52955	+	1.91725i	−0.546028	+	0.160328i
$144$	14.7426	−	11.5650i	1.22855	−	0.963749i
$145$	0.878295	−	0.761047i	0.0729384	−	0.0632015i
$146$	−9.72362	+	6.57687i	−0.804732	+	0.544305i
$147$	−15.1729	−	4.45517i	−1.25144	−	0.367456i
$148$	4.12488	+	21.4715i	0.339063	+	1.76494i
$149$	−11.4020	−	7.32759i	−0.934084	−	0.600300i	−0.0173728	−	0.999849i	$-0.505530\pi$
$149$	−11.4020	−	7.32759i	−0.934084	−	0.600300i	−0.916712	+	0.399549i	$0.869167\pi$
$150$	−2.32543	+	19.3996i	−0.189871	+	1.58397i
$151$	2.03109	+	1.75995i	0.165288	+	0.143223i	0.733577	−	0.679606i	$-0.237849\pi$
$151$	2.03109	+	1.75995i	0.165288	+	0.143223i	−0.568290	+	0.822829i	$0.692395\pi$
$152$	−4.36812	+	7.98247i	−0.354302	+	0.647464i
$153$	14.3551	−	2.06396i	1.16054	−	0.166861i
$154$	3.65425	+	1.56614i	0.294468	+	0.126203i
$155$	0.199926	−	0.0913032i	0.0160584	−	0.00733365i
$156$	−14.1774	−	5.68567i	−1.13510	−	0.455218i
$157$	−2.55861	+	5.60257i	−0.204199	+	0.447134i	−0.983830	−	0.179106i	$-0.942680\pi$
$157$	−2.55861	+	5.60257i	−0.204199	+	0.447134i	0.779631	+	0.626240i	$0.215407\pi$
$158$	12.5745	−	4.01545i	1.00037	−	0.319452i
$159$	−24.6112	+	15.8167i	−1.95180	+	1.25434i
$160$	0.553710	−	0.455781i	0.0437746	−	0.0360327i
$161$	−4.21582	+	3.46723i	−0.332253	+	0.273256i
$162$	−0.685356	−	1.41195i	−0.0538467	−	0.110933i
$163$	12.2300	−	7.85975i	0.957928	−	0.615623i	0.0345040	−	0.999405i	$-0.489015\pi$
$163$	12.2300	−	7.85975i	0.957928	−	0.615623i	0.923424	+	0.383782i	$0.125378\pi$
$164$	9.37936	+	9.84866i	0.732405	+	0.769051i
$165$	0.789607	+	0.360601i	0.0614708	+	0.0280728i
$166$	16.1752	−	14.6953i	1.25544	−	1.14058i
$167$	8.29740	−	3.78930i	0.642072	−	0.293225i	−0.0676469	−	0.997709i	$-0.521549\pi$
$167$	8.29740	−	3.78930i	0.642072	−	0.293225i	0.709719	+	0.704485i	$0.248822\pi$
$168$	4.26970	+	7.83619i	0.329414	+	0.604575i
$169$	−0.769795	−	5.35404i	−0.0592150	−	0.411850i
$170$	0.547429	−	0.0918852i	0.0419859	−	0.00704728i
$171$	−11.3894	−	9.86895i	−0.870968	−	0.754698i
$172$	1.70869	+	4.94658i	0.130287	+	0.377173i
$173$	−7.20078	+	11.2046i	−0.547465	+	0.851872i	−0.999188	−	0.0402858i	$-0.987173\pi$
$173$	−7.20078	+	11.2046i	−0.547465	+	0.851872i	0.451723	+	0.892158i	$0.350810\pi$
$174$	−9.31149	+	34.7092i	−0.705902	+	2.63129i
$175$	−5.44276	−	1.59814i	−0.411434	−	0.120808i
$176$	3.66096	+	9.17665i	0.275955	+	0.691716i
$177$	−5.81708	−	6.71326i	−0.437238	−	0.504600i
$178$	−1.46764	−	1.21253i	−0.110004	−	0.0908827i
$179$	−2.31612	+	0.680074i	−0.173115	+	0.0508311i	−0.367141	−	0.930165i	$-0.619663\pi$
$179$	−2.31612	+	0.680074i	−0.173115	+	0.0508311i	0.194026	+	0.980996i	$0.437845\pi$
$180$	0.543626	+	1.05605i	0.0405195	+	0.0787131i
$181$	0.907043	−	6.30862i	0.0674200	−	0.468916i	−0.927943	−	0.372723i	$-0.878424\pi$
$181$	0.907043	−	6.30862i	0.0674200	−	0.468916i	0.995363	−	0.0961934i	$-0.0306667\pi$
$182$	2.30928	−	3.78604i	0.171175	−	0.280640i
$183$	−25.6480			−1.89596
$184$	−13.4995	−	1.32762i	−0.995199	−	0.0978736i
$185$	−1.38595			−0.101897
$186$	−3.53903	+	5.80222i	−0.259495	+	0.425439i
$187$	−1.08829	+	7.56922i	−0.0795837	+	0.553517i
$188$	9.24541	−	4.75930i	0.674291	−	0.347107i
$189$	−5.09905	+	1.49721i	−0.370901	+	0.108906i
$190$	−0.444679	−	0.367383i	−0.0322604	−	0.0266528i
$191$	9.47490	+	10.9346i	0.685580	+	0.791201i	0.986729	−	0.162376i	$-0.0519157\pi$
$191$	9.47490	+	10.9346i	0.685580	+	0.791201i	−0.301149	+	0.953577i	$0.597370\pi$
$192$	−6.28628	+	21.2669i	−0.453674	+	1.53481i
$193$	−9.47117	−	2.78099i	−0.681750	−	0.200180i	−0.0775209	−	0.996991i	$-0.524700\pi$
$193$	−9.47117	−	2.78099i	−0.681750	−	0.200180i	−0.604229	+	0.796811i	$0.706519\pi$
$194$	−5.70866	+	21.2794i	−0.409858	+	1.52777i
$195$	0.523487	−	0.814562i	0.0374877	−	0.0583320i
$196$	10.7839	−	3.72508i	0.770279	−	0.266077i
$197$	8.02149	+	6.95066i	0.571507	+	0.495214i	0.891999	−	0.452037i	$-0.149303\pi$
$197$	8.02149	+	6.95066i	0.571507	+	0.495214i	−0.320492	+	0.947251i	$0.603848\pi$
$198$	−16.1372	+	2.70861i	−1.14682	+	0.192492i
$199$	−0.629658	−	4.37937i	−0.0446353	−	0.310445i	−0.999892	−	0.0146686i	$-0.995331\pi$
$199$	−0.629658	−	4.37937i	−0.0446353	−	0.310445i	0.955257	−	0.295777i	$-0.0955784\pi$
$200$	−6.74464	−	12.3785i	−0.476918	−	0.875289i
$201$	13.9359	−	6.36430i	0.982960	−	0.448903i
$202$	−6.68541	+	6.07377i	−0.470384	+	0.427349i
$203$	−9.49047	−	4.33415i	−0.666101	−	0.304198i
$204$	−12.4297	+	11.8374i	−0.870256	+	0.828787i
$205$	−0.725257	+	0.466095i	−0.0506542	+	0.0325535i
$206$	10.5832	+	21.8031i	0.737366	+	1.51910i
$207$	6.88166	−	21.3855i	0.478308	−	1.48639i
$208$	10.7131	−	2.58531i	0.742820	−	0.179259i
$209$	6.68487	−	4.29610i	0.462402	−	0.297168i
$210$	−0.538872	+	0.172080i	−0.0371857	+	0.0118746i
$211$	−4.29548	+	9.40578i	−0.295713	+	0.647521i	−0.997921	−	0.0644511i	$-0.979470\pi$
$211$	−4.29548	+	9.40578i	−0.295713	+	0.647521i	0.702208	+	0.711972i	$0.252198\pi$
$212$	7.85659	−	19.5906i	0.539593	−	1.34549i
$213$	−25.8328	+	11.7974i	−1.77003	+	0.808348i
$214$	−18.3434	−	7.86162i	−1.25393	−	0.537409i
$215$	−0.328364	+	0.0472117i	−0.0223943	+	0.00321981i
$216$	−11.5853	−	6.33964i	−0.788280	−	0.431358i
$217$	−1.49122	−	1.29215i	−0.101231	−	0.0877167i
$218$	1.20640	−	10.0642i	0.0817078	−	0.681637i
$219$	19.3574	+	12.4402i	1.30805	+	0.840633i
$220$	−0.615037	+	0.118155i	−0.0414658	+	0.00796599i
$221$	8.18442	+	2.40316i	0.550544	+	0.161654i
$222$	35.4991	−	24.0109i	2.38254	−	1.61151i
$223$	−2.16149	+	1.87294i	−0.144744	+	0.125421i	−0.724223	−	0.689566i	$-0.757801\pi$
$223$	−2.16149	+	1.87294i	−0.144744	+	0.125421i	0.579479	+	0.814987i	$0.303256\pi$
$224$	−5.78707	−	2.82196i	−0.386665	−	0.188550i
$225$	22.4009	−	6.57748i	1.49339	−	0.438499i
$226$	0.514827	+	21.9045i	0.0342458	+	1.45707i
$227$	−25.3296	−	3.64184i	−1.68118	−	0.241717i	−0.765446	−	0.643500i	$-0.777482\pi$
$227$	−25.3296	−	3.64184i	−1.68118	−	0.241717i	−0.915735	+	0.401782i	$0.868391\pi$
$228$	17.7545	+	1.70614i	1.17582	+	0.112992i
$229$	22.1221			1.46187			0.730934	−	0.682448i	$-0.239085\pi$
$229$	22.1221			1.46187			0.730934	+	0.682448i	$0.239085\pi$
$230$	0.244087	−	0.824483i	0.0160946	−	0.0543648i
$231$		−	7.79301i		−	0.512742i
$232$	−9.03880	−	24.3010i	−0.593426	−	1.59544i
$233$	−1.95468	+	13.5951i	−0.128055	+	0.890643i	0.819961	+	0.572420i	$0.193995\pi$
$233$	−1.95468	+	13.5951i	−0.128055	+	0.890643i	−0.948016	+	0.318223i	$0.896914\pi$
$234$	0.428864	+	18.2471i	0.0280357	+	1.19285i
$235$	0.185705	+	0.632453i	0.0121141	+	0.0412567i
$236$	6.22731	+	1.51470i	0.405363	+	0.0985985i
$237$	−16.9439	−	19.5543i	−1.10063	−	1.27019i
$238$	−2.79196	−	4.12779i	−0.180976	−	0.267565i
$239$	−2.14196	+	7.29486i	−0.138552	+	0.471865i	−0.999310	−	0.0371500i	$-0.988172\pi$
$239$	−2.14196	+	7.29486i	−0.138552	+	0.471865i	0.860758	+	0.509015i	$0.169990\pi$
$240$	−1.24871	−	0.645660i	−0.0806039	−	0.0416771i
$241$	6.87306	−	10.6947i	0.442733	−	0.688905i	−0.546136	−	0.837696i	$-0.683902\pi$
$241$	6.87306	−	10.6947i	0.442733	−	0.688905i	0.988869	+	0.148791i	$0.0475382\pi$
$242$	−0.824611	+	6.87921i	−0.0530080	+	0.442212i
$243$	−11.1876	+	12.9112i	−0.717687	+	0.828255i
$244$	15.0799	−	10.7247i	0.965391	−	0.686576i
$245$	0.102925	+	0.715857i	0.00657562	+	0.0457345i
$246$	10.5016	−	24.5031i	0.669555	−	1.56226i
$247$	−3.68214	−	8.06275i	−0.234289	−	0.513021i
$248$	−0.345391	−	4.89128i	−0.0219323	−	0.310596i
$249$	−38.9657	−	17.7950i	−2.46935	−	1.12771i
$250$	1.70521	−	0.544530i	0.107847	−	0.0344391i
$251$	−6.87544	−	10.6984i	−0.433974	−	0.675277i	0.553537	−	0.832824i	$-0.313278\pi$
$251$	−6.87544	−	10.6984i	−0.433974	−	0.675277i	−0.987511	+	0.157548i	$0.949641\pi$
$252$	6.59659	−	8.37786i	0.415546	−	0.527756i
$253$	9.79715	+	6.65847i	0.615941	+	0.418615i
$254$	7.20646	−	3.49800i	0.452173	−	0.219484i
$255$	−0.588246	−	0.915328i	−0.0368374	−	0.0573201i
$256$	−5.19665	−	15.1326i	−0.324791	−	0.945786i
$257$	5.38751	−	11.7970i	0.336064	−	0.735877i	−0.663865	−	0.747853i	$-0.731085\pi$
$257$	5.38751	−	11.7970i	0.336064	−	0.735877i	0.999928	+	0.0119759i	$0.00381215\pi$
$258$	7.59266	−	6.89801i	0.472698	−	0.429451i
$259$	5.16880	+	11.3181i	0.321173	+	0.703272i
$260$	0.0328201	+	0.697819i	0.00203542	+	0.0432769i
$261$	42.5034	−	6.11107i	2.63090	−	0.378266i
$262$	−1.89610	−	11.2965i	−0.117141	−	0.697899i
$263$	0.953561	−	1.10047i	0.0587991	−	0.0678577i	−0.725588	−	0.688129i	$-0.758432\pi$
$263$	0.953561	−	1.10047i	0.0587991	−	0.0678577i	0.784387	+	0.620272i	$0.212978\pi$
$264$	13.7063	−	13.6816i	0.843566	−	0.842043i
$265$	1.12558	+	0.723365i	0.0691437	+	0.0444360i
$266$	−1.34176	+	5.00151i	−0.0822688	+	0.306662i
$267$	−1.05131	+	3.58043i	−0.0643391	+	0.219119i
$268$	−5.53244	+	9.56916i	−0.337948	+	0.584529i
$269$	−10.6539	+	9.23168i	−0.649581	+	0.562865i	−0.916093	−	0.400966i	$-0.868674\pi$
$269$	−10.6539	+	9.23168i	−0.649581	+	0.562865i	0.266511	+	0.963832i	$0.414129\pi$
$270$	0.533198	−	0.645381i	0.0324494	−	0.0392766i
$271$	7.29484	+	24.8439i	0.443130	+	1.50916i	0.814215	+	0.580563i	$0.197167\pi$
$271$	7.29484	+	24.8439i	0.443130	+	1.50916i	−0.371086	+	0.928599i	$0.621014\pi$
$272$	2.35832	−	12.1573i	0.142994	−	0.737147i
$273$	−8.60426	−	1.23711i	−0.520754	−	0.0748731i
$274$	−4.21182	+	6.90524i	−0.254445	+	0.417161i
$275$			12.3102i			0.742336i
$276$	8.03182	+	25.3466i	0.483459	+	1.52569i
$277$		−	0.678921i		−	0.0407924i	−0.999792	−	0.0203962i	$-0.993507\pi$
$277$		−	0.678921i		−	0.0407924i	0.999792	−	0.0203962i	$-0.00649277\pi$
$278$	7.41945	+	4.52546i	0.444989	+	0.271419i
$279$	8.03832	+	1.15574i	0.481242	+	0.0691921i
$280$	0.244878	−	0.326503i	0.0146342	−	0.0195123i
$281$	1.63949	+	5.58360i	0.0978040	+	0.333090i	0.993830	−	0.110911i	$-0.0353769\pi$
$281$	1.63949	+	5.58360i	0.0978040	+	0.333090i	−0.896026	+	0.444001i	$0.853559\pi$
$282$	−15.7135	−	12.9821i	−0.935726	−	0.773074i
$283$	−9.60034	+	8.31874i	−0.570681	+	0.494498i	−0.891732	−	0.452564i	$-0.850509\pi$
$283$	−9.60034	+	8.31874i	−0.570681	+	0.494498i	0.321051	+	0.947062i	$0.395964\pi$
$284$	10.2554	−	17.7383i	0.608548	−	1.05257i
$285$	−0.318536	+	1.08483i	−0.0188684	+	0.0642600i
$286$	−9.29534	−	2.49368i	−0.549645	−	0.147454i
$287$	6.51106	+	4.18440i	0.384336	+	0.246998i
$288$	26.3161	−	3.10630i	1.55069	−	0.183040i
$289$	−4.85569	+	5.60376i	−0.285629	+	0.329633i
$290$	1.62086	−	0.272059i	0.0951799	−	0.0159758i
$291$	42.7461	−	6.14596i	2.50582	−	0.360283i
$292$	−16.5831	+	0.779943i	−0.970453	+	0.0456427i
$293$	11.0240	+	24.1392i	0.644030	+	1.41023i	0.896684	+	0.442672i	$0.145969\pi$
$293$	11.0240	+	24.1392i	0.644030	+	1.41023i	−0.252654	+	0.967557i	$0.581303\pi$
$294$	−15.0381	−	16.5525i	−0.877043	−	0.965363i
$295$	−0.168764	+	0.369542i	−0.00982583	+	0.0215156i
$296$	−10.8318	+	28.9612i	−0.629583	+	1.68333i
$297$	6.23512	+	9.70204i	0.361798	+	0.562969i
$298$	−8.36998	−	17.2435i	−0.484860	−	0.998892i
$299$	8.90688	−	9.76003i	0.515098	−	0.564437i
$300$	−17.0938	+	21.7096i	−0.986910	+	1.25340i
$301$	1.61015	+	2.50545i	0.0928078	+	0.144412i
$302$	1.15618	+	3.62060i	0.0665306	+	0.208342i
$303$	16.1050	+	7.35491i	0.925208	+	0.422529i
$304$	−11.1523	+	6.42087i	−0.639627	+	0.368262i
$305$	0.487280	+	1.06699i	0.0279016	+	0.0610959i
$306$	18.8516	+	8.07944i	1.07767	+	0.461871i
$307$	−0.517046	−	3.59614i	−0.0295094	−	0.205242i	0.969733	−	0.244169i	$-0.0785152\pi$
$307$	−0.517046	−	3.59614i	−0.0295094	−	0.205242i	−0.999242	+	0.0389267i	$0.987606\pi$
$308$	3.25862	+	4.58193i	0.185677	+	0.261080i
$309$	31.1098	−	35.9027i	1.76978	−	2.04243i
$310$	0.308618	+	0.0369940i	0.0175283	+	0.00210112i
$311$	16.2722	−	25.3200i	0.922712	−	1.43577i	0.0227783	−	0.999741i	$-0.492749\pi$
$311$	16.2722	−	25.3200i	0.922712	−	1.43577i	0.899934	−	0.436027i	$-0.143615\pi$
$312$	−12.9300	−	17.3050i	−0.732018	−	0.979705i
$313$	0.541895	−	1.84552i	0.0306297	−	0.104315i	−0.942759	−	0.333474i	$-0.891779\pi$
$313$	0.541895	−	1.84552i	0.0306297	−	0.104315i	0.973389	+	0.229158i	$0.0735974\pi$
$314$	−7.21496	+	4.88006i	−0.407163	+	0.275397i
$315$	0.442642	+	0.510836i	0.0249400	+	0.0287823i
$316$	18.1388	+	4.41200i	1.02039	+	0.248194i
$317$	−2.73789	−	9.32441i	−0.153775	−	0.523711i	0.846182	−	0.532893i	$-0.178895\pi$
$317$	−2.73789	−	9.32441i	−0.153775	−	0.523711i	−0.999958	+	0.00918225i	$0.997077\pi$
$318$	−41.3620	+	0.972140i	−2.31947	+	0.0545149i
$319$	−3.22227	+	22.4113i	−0.180412	+	1.25479i
$320$	1.00417	−	0.142526i	0.0561345	−	0.00796746i
$321$			39.1188i			2.18340i
$322$	−7.64328	+	1.08156i	−0.425943	+	0.0602728i
$323$	−9.96026			−0.554204
$324$	0.212317	−	2.20942i	0.0117954	−	0.122746i
$325$	13.5917	+	1.95420i	0.753934	+	0.108399i
$326$	20.5539	−	0.483083i	1.13838	−	0.0267555i
$327$	−19.0638	+	5.59764i	−1.05423	+	0.309550i
$328$	4.07145	+	18.7979i	0.224808	+	1.03794i
$329$	4.47223	−	3.87521i	0.246562	−	0.213647i
$330$	0.687778	+	1.01685i	0.0378610	+	0.0559758i
$331$	21.3097	+	6.25709i	1.17129	+	0.343921i	0.808809	−	0.588072i	$-0.200113\pi$
$331$	21.3097	+	6.25709i	1.17129	+	0.343921i	0.362478	+	0.931992i	$0.381931\pi$
$332$	30.3510	−	5.83072i	1.66573	−	0.320003i
$333$	−43.0803	−	27.6861i	−2.36079	−	1.51719i
$334$	12.8084	+	1.53534i	0.700842	+	0.0840100i
$335$	−0.529527	−	0.458838i	−0.0289312	−	0.0250690i
$336$	−0.615679	+	12.6053i	−0.0335881	+	0.687675i
$337$	−20.0353	+	2.88064i	−1.09139	+	0.156919i	−0.664430	−	0.747350i	$-0.731326\pi$
$337$	−20.0353	+	2.88064i	−1.09139	+	0.156919i	−0.426963	+	0.904269i	$0.640417\pi$
$338$	3.01339	−	7.03109i	0.163907	−	0.382441i
$339$	39.0669	−	17.8413i	2.12182	−	0.969004i
$340$	0.728604	+	0.292198i	0.0395141	+	0.0158467i
$341$	−1.77883	+	3.89509i	−0.0963291	+	0.210931i
$342$	−6.48330	−	20.3026i	−0.350577	−	1.09784i
$343$	12.1645	−	7.81763i	0.656819	−	0.422112i
$344$	−1.57975	+	7.23056i	−0.0851746	+	0.389846i
$345$	−1.67391	+	0.196868i	−0.0901201	+	0.0105990i
$346$	−16.9451	+	8.22513i	−0.910976	+	0.442186i
$347$	7.91690	−	5.08788i	0.425002	−	0.273132i	−0.310607	−	0.950538i	$-0.600532\pi$
$347$	7.91690	−	5.08788i	0.425002	−	0.273132i	0.735609	+	0.677406i	$0.236896\pi$
$348$	−36.8026	+	35.0489i	−1.97283	+	1.87882i
$349$	−33.0429	−	15.0902i	−1.76875	−	0.807760i	−0.981588	−	0.191011i	$-0.938823\pi$
$349$	−33.0429	−	15.0902i	−1.76875	−	0.807760i	−0.787160	−	0.616749i	$-0.788449\pi$
$350$	−5.39442	−	5.93765i	−0.288344	−	0.317381i
$351$	11.7018	−	5.34404i	0.624597	−	0.285244i
$352$	−2.33778	+	13.7754i	−0.124604	+	0.734232i
$353$	−0.213726	−	1.48650i	−0.0113755	−	0.0791182i	0.983343	−	0.181760i	$-0.0581795\pi$
$353$	−0.213726	−	1.48650i	−0.0113755	−	0.0791182i	−0.994718	+	0.102642i	$0.967270\pi$
$354$	−2.07948	−	12.3890i	−0.110523	−	0.658470i
$355$	0.981580	+	0.850544i	0.0520969	+	0.0451422i
$356$	−0.879026	−	2.54473i	−0.0465883	−	0.134871i
$357$	−5.28103	+	8.21744i	−0.279502	+	0.434913i
$358$	−3.29718	−	0.884541i	−0.174261	−	0.0467495i
$359$	−5.26139	−	1.54488i	−0.277685	−	0.0815358i	0.139925	−	0.990162i	$-0.455314\pi$
$359$	−5.26139	−	1.54488i	−0.277685	−	0.0815358i	−0.417610	+	0.908626i	$0.637132\pi$
$360$	−0.121345	+	1.67535i	−0.00639542	+	0.0882988i
$361$	−5.66452	−	6.53720i	−0.298132	−	0.344063i
$362$	5.74089	−	6.94875i	0.301735	−	0.365218i
$363$	13.0307	−	3.82615i	0.683934	−	0.200821i
$364$	5.57620	−	2.87048i	0.292273	−	0.150454i
$365$	0.149766	−	1.04164i	0.00783909	−	0.0545221i
$366$	−30.9661	−	18.8876i	−1.61863	−	0.987273i
$367$	−37.5646			−1.96086			−0.980429	−	0.196872i	$-0.936922\pi$
$367$	−37.5646			−1.96086			−0.980429	+	0.196872i	$0.936922\pi$
$368$	−15.3210	−	11.5442i	−0.798660	−	0.601782i
$369$	−31.8544			−1.65828
$370$	−1.67332	−	1.02064i	−0.0869920	−	0.0530603i
$371$	1.70946	−	11.8896i	0.0887507	−	0.617275i
$372$	−8.54570	+	4.39910i	−0.443074	+	0.228083i
$373$	−3.42820	+	1.00661i	−0.177506	+	0.0521204i	−0.369278	−	0.929319i	$-0.620395\pi$
$373$	−3.42820	+	1.00661i	−0.177506	+	0.0521204i	0.191772	+	0.981440i	$0.438577\pi$
$374$	−6.88805	+	8.33726i	−0.356172	+	0.431109i
$375$	−2.29774	−	2.65173i	−0.118655	−	0.136935i
$376$	14.6673	+	1.06234i	0.756406	+	0.0547860i
$377$	24.2329	+	7.11541i	1.24806	+	0.366462i
$378$	−7.25890	−	1.94736i	−0.373358	−	0.100161i
$379$	−18.6236	+	28.9789i	−0.956630	+	1.48854i	−0.0861845	+	0.996279i	$0.527467\pi$
$379$	−18.6236	+	28.9789i	−0.956630	+	1.48854i	−0.870445	+	0.492266i	$0.836169\pi$
$380$	−0.266336	−	0.771028i	−0.0136627	−	0.0395529i
$381$	−11.8667	−	10.2825i	−0.607949	−	0.526791i
$382$	3.38708	+	20.1794i	0.173298	+	1.03247i
$383$	0.275630	+	1.91705i	0.0140841	+	0.0979567i	0.995651	−	0.0931621i	$-0.0296975\pi$
$383$	0.275630	+	1.91705i	0.0140841	+	0.0979567i	−0.981567	+	0.191119i	$0.938788\pi$
$384$	−23.2510	+	21.0473i	−1.18653	+	1.07406i
$385$	−0.324200	+	0.148057i	−0.0165228	+	0.00754569i
$386$	−9.38704	−	10.3323i	−0.477788	−	0.525902i
$387$	−11.1499	−	5.09197i	−0.566779	−	0.258839i
$388$	−22.5628	+	21.4877i	−1.14545	+	1.09087i
$389$	28.4424	−	18.2788i	1.44209	−	0.926773i	0.442537	−	0.896750i	$-0.354078\pi$
$389$	28.4424	−	18.2788i	1.44209	−	0.926773i	0.999549	−	0.0300225i	$-0.00955789\pi$
$390$	1.23189	−	0.597956i	0.0623791	−	0.0302787i
$391$	−5.81854	−	13.6603i	−0.294256	−	0.690830i
$392$	15.7631	+	3.44398i	0.796159	+	0.173947i
$393$	−18.8883	+	12.1388i	−0.952788	+	0.612319i
$394$	4.56616	+	14.2990i	0.230040	+	0.720374i
$395$	−0.491575	+	1.07640i	−0.0247338	+	0.0541595i
$396$	−21.4779	−	8.61345i	−1.07930	−	0.432842i
$397$	−12.1799	+	5.56236i	−0.611290	+	0.279167i	−0.696907	−	0.717161i	$-0.745441\pi$
$397$	−12.1799	+	5.56236i	−0.611290	+	0.279167i	0.0856173	+	0.996328i	$0.472714\pi$
$398$	2.46482	−	5.75112i	0.123550	−	0.288277i
$399$	10.0470	−	1.44455i	0.502981	−	0.0723178i
$400$	0.972560	−	19.9120i	0.0486280	−	0.995599i
$401$	18.0170	+	15.6118i	0.899727	+	0.779618i	0.976068	−	0.217464i	$-0.0697785\pi$
$401$	18.0170	+	15.6118i	0.899727	+	0.779618i	−0.0763417	+	0.997082i	$0.524324\pi$
$402$	21.5122	+	2.57867i	1.07293	+	0.128612i
$403$	4.01819	+	2.58234i	0.200160	+	0.128635i
$404$	−12.5444	+	2.40991i	−0.624109	+	0.119897i
$405$	0.135000	+	0.0396395i	0.00670818	+	0.00196970i
$406$	−8.26657	−	12.2218i	−0.410263	−	0.606557i
$407$	20.4068	−	17.6826i	1.01153	−	0.876492i
$408$	−23.7243	+	5.13847i	−1.17453	+	0.254392i
$409$	2.00537	−	0.588830i	0.0991592	−	0.0291158i	−0.231777	−	0.972769i	$-0.574454\pi$
$409$	2.00537	−	0.588830i	0.0991592	−	0.0291158i	0.330936	+	0.943653i	$0.392636\pi$
$410$	−1.21888	+	0.0286475i	−0.0601961	+	0.00141480i
$411$	15.6930	+	2.25632i	0.774081	+	0.111296i
$412$	−3.27857	+	34.1176i	−0.161524	+	1.68085i
$413$	3.64718			0.179466
$414$	24.0572	−	20.7520i	1.18235	−	1.01990i
$415$			1.95911i			0.0961690i
$416$	14.8383	+	4.76793i	0.727508	+	0.233767i
$417$	2.42434	−	16.8617i	0.118720	−	0.825719i
$418$	11.2347	−	0.264051i	0.549507	−	0.0129152i
$419$	4.87888	+	16.6159i	0.238349	+	0.811742i	0.988597	+	0.150586i	$0.0481159\pi$
$419$	4.87888	+	16.6159i	0.238349	+	0.811742i	−0.750248	+	0.661157i	$0.770066\pi$
$420$	−0.777329	−	0.189074i	−0.0379298	−	0.00922585i
$421$	−0.879636	−	1.01515i	−0.0428708	−	0.0494756i	0.733909	−	0.679248i	$-0.237694\pi$
$421$	−0.879636	−	1.01515i	−0.0428708	−	0.0494756i	−0.776780	+	0.629772i	$0.783148\pi$
$422$	−12.1127	+	8.19280i	−0.589637	+	0.398819i
$423$	−6.86165	+	23.3686i	−0.333625	+	1.13622i
$424$	23.9125	−	17.8670i	1.16129	−	0.867697i
$425$	8.34219	−	12.9807i	0.404656	−	0.629657i
$426$	−39.8770	−	4.78006i	−1.93205	−	0.231595i
$427$	6.89613	−	7.95855i	0.333727	−	0.385141i
$428$	−16.3574	−	23.0001i	−0.790665	−	1.11175i
$429$	2.68470	+	18.6725i	0.129619	+	0.901517i
$430$	−0.431218	−	0.184812i	−0.0207952	−	0.00891242i
$431$	11.2483	+	24.6304i	0.541812	+	1.18640i	0.960502	+	0.278274i	$0.0897623\pi$
$431$	11.2483	+	24.6304i	0.541812	+	1.18640i	−0.418689	+	0.908130i	$0.637510\pi$
$432$	−9.31889	−	16.1858i	−0.448355	−	0.778738i
$433$	25.4873	+	11.6397i	1.22484	+	0.559367i	0.919581	−	0.392901i	$-0.128529\pi$
$433$	25.4873	+	11.6397i	1.22484	+	0.559367i	0.305262	+	0.952268i	$0.401256\pi$
$434$	−0.848862	−	2.65823i	−0.0407467	−	0.127599i
$435$	−1.74171	−	2.71015i	−0.0835085	−	0.129942i
$436$	8.86802	−	11.2626i	0.424701	−	0.539383i
$437$	−6.76831	+	13.8651i	−0.323772	+	0.663258i
$438$	14.2099	+	29.2748i	0.678977	+	1.39880i
$439$	−15.8515	−	24.6655i	−0.756552	−	1.17722i	−0.979314	−	0.202345i	$-0.935144\pi$
$439$	−15.8515	−	24.6655i	−0.756552	−	1.17722i	0.222762	−	0.974873i	$-0.428493\pi$
$440$	−0.829576	−	0.310270i	−0.0395485	−	0.0147915i
$441$	−11.1009	+	24.3075i	−0.528612	+	1.15750i
$442$	8.11172	+	8.92860i	0.385835	+	0.424690i
$443$	3.69953	+	8.10084i	0.175770	+	0.384882i	0.976928	−	0.213571i	$-0.0685095\pi$
$443$	3.69953	+	8.10084i	0.175770	+	0.384882i	−0.801158	+	0.598453i	$0.795782\pi$
$444$	60.5418	−	2.84743i	2.87319	−	0.135133i
$445$	0.168925	−	0.0242877i	0.00800780	−	0.00115135i
$446$	−3.98893	+	0.669537i	−0.188881	+	0.0317035i
$447$	−24.6040	+	28.3945i	−1.16373	+	1.34301i
$448$	−4.90887	−	7.66878i	−0.231922	−	0.362316i
$449$	−24.3887	−	15.6737i	−1.15098	−	0.739687i	−0.181143	−	0.983457i	$-0.557980\pi$
$449$	−24.3887	−	15.6737i	−1.15098	−	0.739687i	−0.969833	+	0.243769i	$0.921616\pi$
$450$	31.8894	+	8.55503i	1.50328	+	0.403288i
$451$	4.73207	−	16.1159i	0.222824	−	0.758870i
$452$	−15.5093	+	26.8255i	−0.729495	+	1.26177i
$453$	5.63032	−	4.87870i	0.264536	−	0.229221i
$454$	−27.8997	−	23.0501i	−1.30940	−	1.08179i
$455$	0.112005	+	0.381453i	0.00525086	+	0.0178828i
$456$	20.1795	+	15.1346i	0.944991	+	0.708744i
$457$	−21.0202	−	3.02225i	−0.983285	−	0.141375i	−0.368124	−	0.929777i	$-0.620000\pi$
$457$	−21.0202	−	3.02225i	−0.983285	−	0.141375i	−0.615161	+	0.788402i	$0.710909\pi$
$458$	26.7091	+	16.2910i	1.24803	+	0.761231i
$459$		−	14.4558i		−	0.674737i
$460$	0.901861	−	0.815689i	0.0420495	−	0.0380317i
$461$		−	10.4631i		−	0.487316i	−0.969861	−	0.243658i	$-0.921653\pi$
$461$		−	10.4631i		−	0.487316i	0.969861	−	0.243658i	$-0.0783475\pi$
$462$	5.73890	−	9.40888i	0.266998	−	0.437741i
$463$	14.2131	+	2.04354i	0.660541	+	0.0949714i	0.464429	−	0.885610i	$-0.346259\pi$
$463$	14.2131	+	2.04354i	0.660541	+	0.0949714i	0.196112	+	0.980582i	$0.437169\pi$
$464$	6.98264	−	35.9961i	0.324161	−	1.67108i
$465$	−0.171650	−	0.584588i	−0.00796010	−	0.0271096i
$466$	−12.3716	+	14.9745i	−0.573104	+	0.693682i
$467$	−2.13504	+	1.85002i	−0.0987976	+	0.0856087i	−0.702859	−	0.711329i	$-0.748094\pi$
$467$	−2.13504	+	1.85002i	−0.0987976	+	0.0856087i	0.604061	+	0.796938i	$0.293548\pi$
$468$	−12.9196	+	22.3464i	−0.597210	+	1.03296i
$469$	−1.77218	+	6.03548i	−0.0818315	+	0.278693i
$470$	−0.241538	+	0.900348i	−0.0111413	+	0.0415299i
$471$	14.3632	+	9.23070i	0.661823	+	0.425328i
$472$	6.40308	+	6.41466i	0.294726	+	0.295259i
$473$	4.23250	−	4.88456i	0.194610	−	0.224592i
$474$	−6.05710	−	36.0867i	−0.278212	−	1.65752i
$475$	−15.8708	+	2.28188i	−0.728204	+	0.104700i
$476$	−0.331095	−	7.03973i	−0.0151757	−	0.322665i
$477$	20.5369	+	44.9696i	0.940322	+	2.05902i
$478$	−7.95815	+	7.23006i	−0.363997	+	0.330695i
$479$	−11.4406	+	25.0513i	−0.522733	+	1.14462i	0.445662	+	0.895201i	$0.352968\pi$
$479$	−11.4406	+	25.0513i	−0.522733	+	1.14462i	−0.968395	+	0.249423i	$0.919759\pi$
$480$	−1.03215	−	1.69911i	−0.0471112	−	0.0775533i
$481$	−16.2838	−	25.3381i	−0.742479	−	1.15532i
$482$	16.1739	−	7.85079i	0.736702	−	0.357593i
$483$	7.85039	+	12.9354i	0.357205	+	0.588582i
$484$	−6.06155	+	7.69835i	−0.275525	+	0.349925i
$485$	−1.06780	−	1.66153i	−0.0484864	−	0.0754463i
$486$	−23.0154	+	7.34959i	−1.04400	+	0.333384i
$487$	−3.66186	−	1.67232i	−0.165935	−	0.0757799i	0.330716	−	0.943730i	$-0.392710\pi$
$487$	−3.66186	−	1.67232i	−0.165935	−	0.0757799i	−0.496651	+	0.867950i	$0.665437\pi$
$488$	26.1045	−	1.84333i	1.18169	−	0.0834438i
$489$	−16.7412	−	36.6581i	−0.757062	−	1.65773i
$490$	−0.402903	+	0.940085i	−0.0182013	+	0.0424687i
$491$	2.55455	+	17.7673i	0.115285	+	0.801825i	0.962637	+	0.270794i	$0.0872862\pi$
$491$	2.55455	+	17.7673i	0.115285	+	0.801825i	−0.847352	+	0.531031i	$0.821805\pi$
$492$	30.7235	−	21.8502i	1.38512	−	0.985085i
$493$	18.5851	−	21.4483i	0.837031	−	0.965985i
$494$	1.49192	−	12.4461i	0.0671246	−	0.559978i
$495$	0.793051	−	1.23401i	0.0356450	−	0.0554647i
$496$	3.18501	−	6.15983i	0.143011	−	0.276585i
$497$	3.28507	−	11.1879i	0.147356	−	0.501847i
$498$	−33.9406	−	50.1798i	−1.52092	−	2.24861i
$499$	−0.167666	−	0.193497i	−0.00750575	−	0.00866210i	0.751984	−	0.659181i	$-0.229097\pi$
$499$	−0.167666	−	0.193497i	−0.00750575	−	0.00866210i	−0.759490	+	0.650519i	$0.774551\pi$
$500$	2.45978	+	0.598305i	0.110005	+	0.0267570i
$501$	−7.12390	−	24.2618i	−0.318272	−	1.08394i
$502$	−0.422585	−	17.9799i	−0.0188609	−	0.802481i
$503$	5.06158	−	35.2040i	0.225685	−	1.56967i	−0.490299	−	0.871554i	$-0.663113\pi$
$503$	5.06158	−	35.2040i	0.225685	−	1.56967i	0.715984	−	0.698117i	$-0.245978\pi$
$504$	14.1340	−	5.25716i	0.629577	−	0.234173i
$505$		−	0.809725i		−	0.0360323i
$506$	6.92517	+	15.2539i	0.307861	+	0.678118i
$507$	−14.9944			−0.665925
$508$	11.2767	+	1.08365i	0.500322	+	0.0480790i
$509$	23.2294	+	3.33989i	1.02963	+	0.148038i	0.636364	−	0.771389i	$-0.280437\pi$
$509$	23.2294	+	3.33989i	1.02963	+	0.148038i	0.393262	+	0.919427i	$0.371347\pi$
$510$	−0.0361553	−	1.53831i	−0.00160098	−	0.0681177i
$511$	−9.06491	+	2.66170i	−0.401008	+	0.117747i
$512$	4.86970	−	22.0972i	0.215212	−	0.976567i
$513$	−11.3525	+	9.83697i	−0.501224	+	0.434313i
$514$	15.1921	−	10.2756i	0.670095	−	0.453239i
$515$	−2.08465	−	0.612108i	−0.0918606	−	0.0269727i
$516$	14.2468	−	2.73695i	0.627180	−	0.120487i
$517$	−10.8034	−	6.94295i	−0.475135	−	0.305351i
$518$	−2.09428	+	17.4713i	−0.0920174	+	0.767643i
$519$	27.9031	+	24.1782i	1.22481	+	1.06130i
$520$	−0.474260	+	0.866681i	−0.0207977	+	0.0380065i
$521$	10.5688	−	1.51956i	0.463028	−	0.0665733i	0.0931465	−	0.995652i	$-0.470308\pi$
$521$	10.5688	−	1.51956i	0.463028	−	0.0665733i	0.369881	+	0.929079i	$0.379398\pi$
$522$	55.8168	+	23.9220i	2.44303	+	1.04704i
$523$	−11.0708	+	5.05587i	−0.484093	+	0.221078i	−0.642485	−	0.766299i	$-0.722096\pi$
$523$	−11.0708	+	5.05587i	−0.484093	+	0.221078i	0.158392	+	0.987376i	$0.449369\pi$
$524$	6.02966	−	15.0351i	0.263407	−	0.656812i
$525$	−6.53227	+	14.3037i	−0.285092	+	0.624263i
$526$	1.96168	−	0.626431i	0.0855334	−	0.0273137i
$527$	4.51527	−	2.90179i	0.196688	−	0.126404i
$528$	26.6237	−	6.42489i	1.15865	−	0.279607i
$529$	−22.9696	−	1.18294i	−0.998676	−	0.0514324i
$530$	0.826268	+	1.70225i	0.0358908	+	0.0739410i
$531$	−12.6279	+	8.11543i	−0.548002	+	0.352180i
$532$	−5.30317	+	5.05047i	−0.229921	+	0.218965i
$533$	−17.0424	−	7.78301i	−0.738189	−	0.337120i
$534$	−3.90599	+	3.54863i	−0.169029	+	0.153564i
$535$	1.62740	−	0.743207i	0.0703585	−	0.0321316i
$536$	−13.7265	+	7.47913i	−0.592893	+	0.323049i
$537$	0.952299	+	6.62339i	0.0410947	+	0.285820i
$538$	−19.6614	+	3.30013i	−0.847662	+	0.142279i
$539$	−10.6487	−	9.22714i	−0.458672	−	0.397441i
$540$	1.11903	−	0.386544i	0.0481552	−	0.0166342i
$541$	1.87969	−	2.92485i	0.0808142	−	0.125749i	−0.798494	−	0.602003i	$-0.794369\pi$
$541$	1.87969	−	2.92485i	0.0808142	−	0.125749i	0.879308	+	0.476254i	$0.158006\pi$
$542$	−9.48806	+	35.3673i	−0.407547	+	1.51916i
$543$	−16.9521	−	4.97759i	−0.727485	−	0.213609i
$544$	11.8002	−	12.9414i	0.505928	−	0.554860i
$545$	0.595058	+	0.686734i	0.0254895	+	0.0294164i
$546$	−9.47732	−	7.82993i	−0.405592	−	0.335090i
$547$	−17.6483	+	5.18200i	−0.754586	+	0.221567i	−0.636330	−	0.771417i	$-0.719548\pi$
$547$	−17.6483	+	5.18200i	−0.754586	+	0.221567i	−0.118256	+	0.992983i	$0.537730\pi$
$548$	−10.1703	+	5.23539i	−0.434452	+	0.223645i
$549$	−6.16810	+	42.9001i	−0.263248	+	1.83093i
$550$	−9.06546	+	14.8628i	−0.386553	+	0.633750i
$551$	−29.4909			−1.25635
$552$	−8.96846	+	36.5170i	−0.381723	+	1.55427i
$553$	10.6235			0.451756
$554$	0.499969	−	0.819695i	0.0212416	−	0.0348255i
$555$	−0.546766	+	3.80284i	−0.0232089	+	0.161422i
$556$	5.62525	+	10.9276i	0.238564	+	0.463434i
$557$	8.73548	−	2.56497i	0.370134	−	0.108681i	−0.0913751	−	0.995817i	$-0.529126\pi$
$557$	8.73548	−	2.56497i	0.370134	−	0.108681i	0.461509	+	0.887135i	$0.347308\pi$
$558$	8.85395	+	7.31492i	0.374818	+	0.309665i
$559$	−4.72116	−	5.44850i	−0.199684	−	0.230447i
$560$	0.536095	−	0.213871i	0.0226541	−	0.00903771i
$561$	20.3395	+	5.97222i	0.858735	+	0.252147i
$562$	−2.13241	+	7.94870i	−0.0899504	+	0.335296i
$563$	6.13813	−	9.55112i	0.258691	−	0.402532i	−0.687477	−	0.726206i	$-0.741282\pi$
$563$	6.13813	−	9.55112i	0.258691	−	0.402532i	0.946169	+	0.323674i	$0.104918\pi$
$564$	−9.41144	−	27.2456i	−0.396293	−	1.14725i
$565$	−1.48444	−	1.28628i	−0.0624509	−	0.0541141i
$566$	−17.7170	+	2.97378i	−0.744702	+	0.124997i
$567$	−0.179763	−	1.25028i	−0.00754934	−	0.0525068i
$568$	25.4446	−	13.8640i	1.06763	−	0.581721i
$569$	10.0633	−	4.59575i	0.421875	−	0.192664i	−0.193154	−	0.981168i	$-0.561872\pi$
$569$	10.0633	−	4.59575i	0.421875	−	0.192664i	0.615029	+	0.788505i	$0.289144\pi$
$570$	−1.18347	+	1.07520i	−0.0495702	+	0.0450351i
$571$	39.6948	+	18.1280i	1.66118	+	0.758633i	0.999964	+	0.00843326i	$0.00268442\pi$
$571$	39.6948	+	18.1280i	1.66118	+	0.758633i	0.661211	+	0.750200i	$0.270043\pi$
$572$	−9.38633	−	9.85598i	−0.392462	−	0.412099i
$573$	33.7409	−	21.6840i	1.40955	−	0.905860i
$574$	4.77966	+	9.84689i	0.199499	+	0.411001i
$575$	−12.4009	−	20.4335i	−0.517153	−	0.852135i
$576$	34.0602	+	15.6292i	1.41918	+	0.651217i
$577$	33.7443	−	21.6861i	1.40479	−	0.902805i	0.404859	−	0.914379i	$-0.367320\pi$
$577$	33.7443	−	21.6861i	1.40479	−	0.902805i	0.999933	+	0.0115737i	$0.00368410\pi$
$578$	−9.98921	+	3.18989i	−0.415497	+	0.132682i
$579$	−11.3671	+	24.8904i	−0.472399	+	1.03441i
$580$	2.15729	+	0.865155i	0.0895765	+	0.0359236i
$581$	15.9987	−	7.30636i	0.663738	−	0.303119i
$582$	56.1354	+	24.0586i	2.32689	+	0.997261i
$583$	−25.8021	+	3.70978i	−1.06861	+	0.153643i
$584$	−20.5960	−	11.2704i	−0.852267	−	0.466373i
$585$	−1.23658	−	1.07150i	−0.0511262	−	0.0443011i
$586$	−4.46668	+	37.2627i	−0.184517	+	1.53931i
$587$	−33.8418	−	21.7488i	−1.39680	−	0.897670i	−0.397004	−	0.917817i	$-0.629950\pi$
$587$	−33.8418	−	21.7488i	−1.39680	−	0.897670i	−0.999797	+	0.0201470i	$0.993587\pi$
$588$	−5.96674	−	31.0590i	−0.246064	−	1.28085i
$589$	−5.35144	−	1.57132i	−0.220502	−	0.0647452i
$590$	−0.475894	+	0.321885i	−0.0195922	+	0.0132518i
$591$	22.2361	−	19.2677i	0.914672	−	0.792568i
$592$	−34.4052	+	26.9895i	−1.41404	+	1.10926i
$593$	−1.53599	+	0.451007i	−0.0630756	+	0.0185207i	−0.313118	−	0.949714i	$-0.601374\pi$
$593$	−1.53599	+	0.451007i	−0.0630756	+	0.0185207i	0.250043	+	0.968235i	$0.419555\pi$
$594$	0.383229	+	16.3054i	0.0157241	+	0.669018i
$595$	0.442190	+	0.0635773i	0.0181280	+	0.00260642i
$596$	2.59294	−	26.9828i	0.106211	−	1.10526i
$597$	−12.2647			−0.501963
$598$	17.9412	−	5.22459i	0.733668	−	0.213650i
$599$		−	17.7363i		−	0.724687i	−0.932045	−	0.362344i	$-0.881977\pi$
$599$		−	17.7363i		−	0.724687i	0.932045	−	0.362344i	$-0.118023\pi$
$600$	−36.6255	+	13.6229i	−1.49523	+	0.556153i
$601$	6.67002	−	46.3910i	0.272076	−	1.89233i	−0.154684	−	0.987964i	$-0.549436\pi$
$601$	6.67002	−	46.3910i	0.272076	−	1.89233i	0.426760	−	0.904365i	$-0.359655\pi$
$602$	0.0989648	+	4.21070i	0.00403350	+	0.171615i
$603$	−7.29377	−	24.8403i	−0.297025	−	1.01158i
$604$	−1.27036	+	5.22276i	−0.0516901	+	0.212511i
$605$	−0.406740	−	0.469403i	−0.0165363	−	0.0190839i
$606$	14.0281	+	20.7399i	0.569852	+	0.842502i
$607$	−1.44434	+	4.91898i	−0.0586241	+	0.199655i	−0.983598	−	0.180376i	$-0.942269\pi$
$607$	−1.44434	+	4.91898i	−0.0586241	+	0.199655i	0.924974	+	0.380031i	$0.124087\pi$
$608$	−18.1931	−	0.460481i	−0.737828	−	0.0186750i
$609$	−15.6363	+	24.3306i	−0.633616	+	0.985926i
$610$	−0.197435	+	1.64708i	−0.00799391	+	0.0666882i
$611$	−9.38071	+	10.8259i	−0.379503	+	0.437970i
$612$	16.8106	+	23.6373i	0.679529	+	0.955482i
$613$	4.27752	+	29.7508i	0.172767	+	1.20162i	0.873004	+	0.487713i	$0.162169\pi$
$613$	4.27752	+	29.7508i	0.172767	+	1.20162i	−0.700237	+	0.713911i	$0.746922\pi$
$614$	2.02400	−	4.72255i	0.0816819	−	0.190587i
$615$	0.992776	+	2.17388i	0.0400326	+	0.0876592i
$616$	0.560086	+	7.93169i	0.0225665	+	0.319577i
$617$	6.28559	+	2.87053i	0.253048	+	0.115563i	0.537901	−	0.843008i	$-0.319217\pi$
$617$	6.28559	+	2.87053i	0.253048	+	0.115563i	−0.284853	+	0.958571i	$0.591945\pi$
$618$	63.9997	−	20.4373i	2.57445	−	0.822107i
$619$	−21.5801	−	33.5793i	−0.867378	−	1.34967i	−0.935991	−	0.352023i	$-0.885494\pi$
$619$	−21.5801	−	33.5793i	−0.867378	−	1.34967i	0.0686135	−	0.997643i	$-0.478142\pi$
$620$	0.345366	+	0.271936i	0.0138702	+	0.0109212i
$621$	−20.1230	−	9.82314i	−0.807509	−	0.394189i
$622$	38.2923	−	18.5870i	1.53538	−	0.745271i
$623$	−0.828332	−	1.28891i	−0.0331864	−	0.0516391i
$624$	−2.86733	−	30.4151i	−0.114785	−	1.21758i
$625$	10.2853	−	22.5217i	0.411413	−	0.900869i
$626$	2.01333	−	1.82913i	0.0804688	−	0.0731068i
$627$	−9.15066	−	20.0371i	−0.365442	−	0.800207i
$628$	−12.3047	+	0.578720i	−0.491012	+	0.0230935i
$629$	−33.5010	+	4.81672i	−1.33577	+	0.192055i
$630$	0.158235	+	0.942725i	0.00630424	+	0.0375591i
$631$	5.38379	−	6.21322i	0.214325	−	0.247344i	−0.638399	−	0.769705i	$-0.720403\pi$
$631$	5.38379	−	6.21322i	0.214325	−	0.247344i	0.852725	+	0.522361i	$0.174949\pi$
$632$	18.6508	+	18.6846i	0.741890	+	0.743232i
$633$	24.1135	+	15.4968i	0.958425	+	0.615943i
$634$	3.56105	−	13.2740i	0.141428	−	0.527180i
$635$	−0.202316	+	0.689026i	−0.00802868	+	0.0273432i
$636$	−50.6543	−	29.2859i	−2.00857	−	1.16126i
$637$	−11.8781	+	10.2925i	−0.470628	+	0.407802i
$638$	−20.3945	+	24.6854i	−0.807425	+	0.977304i
$639$	13.5204	+	46.0463i	0.534859	+	1.82156i
$640$	1.31734	+	0.567405i	0.0520723	+	0.0224286i
$641$	10.6941	+	1.53757i	0.422390	+	0.0607305i	0.350232	−	0.936663i	$-0.386103\pi$
$641$	10.6941	+	1.53757i	0.422390	+	0.0607305i	0.0721572	+	0.997393i	$0.477012\pi$
$642$	−28.8077	+	47.2300i	−1.13695	+	1.86402i
$643$		−	5.40898i		−	0.213309i	−0.994296	−	0.106655i	$-0.965986\pi$
$643$		−	5.40898i		−	0.213309i	0.994296	−	0.106655i	$-0.0340139\pi$
$644$	−10.0246	−	4.32282i	−0.395024	−	0.170343i
$645$			0.919609i			0.0362096i
$646$	−12.0255	−	7.33490i	−0.473137	−	0.288588i
$647$	24.6966	+	3.55083i	0.970922	+	0.139597i	0.609484	−	0.792799i	$-0.291377\pi$
$647$	24.6966	+	3.55083i	0.970922	+	0.139597i	0.361438	+	0.932396i	$0.382286\pi$
$648$	1.88339	−	2.51119i	0.0739867	−	0.0986487i
$649$	−2.22989	−	7.59431i	−0.0875309	−	0.298103i
$650$	14.9709	+	12.3686i	0.587206	+	0.485136i
$651$	−4.13376	+	3.58192i	−0.162015	+	0.140387i
$652$	25.1715	+	14.5530i	0.985792	+	0.569939i
$653$	−6.51829	+	22.1993i	−0.255081	+	0.868725i	0.728004	+	0.685573i	$0.240448\pi$
$653$	−6.51829	+	22.1993i	−0.255081	+	0.868725i	−0.983085	+	0.183152i	$0.941370\pi$
$654$	−27.1389	−	7.28060i	−1.06121	−	0.284694i
$655$	0.863843	+	0.555158i	0.0337531	+	0.0216918i
$656$	−8.92740	+	25.6939i	−0.348556	+	1.00318i
$657$	25.4634	−	29.3863i	0.993420	−	1.14647i
$658$	8.25331	−	1.38531i	0.321747	−	0.0540049i
$659$	8.28898	−	1.19178i	0.322893	−	0.0464250i	0.0210374	−	0.999779i	$-0.493303\pi$
$659$	8.28898	−	1.19178i	0.322893	−	0.0464250i	0.301855	+	0.953354i	$0.402394\pi$
$660$	0.0815629	+	1.73419i	0.00317483	+	0.0675031i
$661$	−2.75807	−	6.03932i	−0.107276	−	0.234902i	0.848379	−	0.529389i	$-0.177579\pi$
$661$	−2.75807	−	6.03932i	−0.107276	−	0.234902i	−0.955656	+	0.294486i	$0.904851\pi$
$662$	21.1204	+	23.2473i	0.820868	+	0.903531i
$663$	9.82274	−	21.5088i	0.381483	−	0.835332i
$664$	40.9381	+	15.3113i	1.58871	+	0.594192i
$665$	−0.250976	−	0.390526i	−0.00973243	−	0.0151440i
$666$	−31.6245	−	65.1518i	−1.22543	−	2.52458i
$667$	−17.2278	−	40.4461i	−0.667064	−	1.56608i
$668$	14.3335	+	11.2860i	0.554580	+	0.436667i
$669$	4.28635	+	6.66969i	0.165720	+	0.257865i
$670$	−0.301428	−	0.943930i	−0.0116452	−	0.0364672i
$671$	−20.7879	−	9.49352i	−0.802508	−	0.366493i
$672$	−10.0261	+	14.7656i	−0.386764	+	0.569595i
$673$	10.1375	+	22.1980i	0.390771	+	0.855670i	0.998123	+	0.0612371i	$0.0195046\pi$
$673$	10.1375	+	22.1980i	0.390771	+	0.855670i	−0.607352	+	0.794433i	$0.707768\pi$
$674$	−26.3110	−	11.2764i	−1.01346	−	0.434350i
$675$	−3.31179	−	23.0340i	−0.127471	−	0.886580i
$676$	8.81602	−	6.26987i	0.339078	−	0.241149i
$677$	−25.7445	+	29.7107i	−0.989441	+	1.14188i	0.000443123		1.00000i	$0.499859\pi$
$677$	−25.7445	+	29.7107i	−0.989441	+	1.14188i	−0.989884	+	0.141876i	$0.954687\pi$
$678$	60.3060	+	7.22888i	2.31604	+	0.277623i
$679$	−9.58629	+	14.9166i	−0.367888	+	0.572445i
$680$	0.664499	+	0.889340i	0.0254824	+	0.0341046i
$681$	−19.9853	+	68.0639i	−0.765840	+	2.60821i
$682$	−5.01608	+	3.39278i	−0.192076	+	0.129916i
$683$	26.7022	+	30.8160i	1.02173	+	1.17914i	0.983691	+	0.179864i	$0.0575658\pi$
$683$	26.7022	+	30.8160i	1.02173	+	1.17914i	0.0380394	+	0.999276i	$0.487889\pi$
$684$	7.12356	−	29.2867i	0.272376	−	1.11981i
$685$	−0.204282	−	0.695720i	−0.00780521	−	0.0265821i
$686$	20.4438	−	0.480494i	0.780547	−	0.0183454i
$687$	8.72730	−	60.6997i	0.332967	−	2.31584i
$688$	−7.23202	+	7.56646i	−0.275718	+	0.288468i
$689$			29.0770i			1.10774i
$690$	−2.16597	−	0.995004i	−0.0824569	−	0.0378791i
$691$	15.2686			0.580845			0.290423	−	0.956898i	$-0.406204\pi$
$691$	15.2686			0.580845			0.290423	+	0.956898i	$0.406204\pi$
$692$	−26.5158	−	2.54806i	−1.00798	−	0.0968629i
$693$	−13.0349	−	1.87414i	−0.495156	−	0.0711927i
$694$	13.3053	−	0.312716i	0.505061	−	0.0118705i
$695$	−0.747528	+	0.219494i	−0.0283553	+	0.00832588i
$696$	−70.2442	+	15.2142i	−2.66260	+	0.576695i
$697$	−15.9110	+	13.7869i	−0.602671	+	0.522217i
$698$	−28.7817	−	42.5525i	−1.08940	−	1.61064i
$699$	36.5318	+	10.7267i	1.38176	+	0.405721i
$700$	−2.14036	−	11.1414i	−0.0808981	−	0.421104i
$701$	−0.450339	−	0.289415i	−0.0170091	−	0.0109311i	0.532109	−	0.846676i	$-0.321400\pi$
$701$	−0.450339	−	0.289415i	−0.0170091	−	0.0109311i	−0.549118	+	0.835745i	$0.685036\pi$
$702$	18.0636	+	2.16529i	0.681767	+	0.0817235i
$703$	26.5797	+	23.0315i	1.00247	+	0.868648i
$704$	−12.9669	+	14.9101i	−0.488710	+	0.561947i
$705$	1.80862	−	0.260040i	0.0681166	−	0.00979369i
$706$	0.836638	−	1.95211i	0.0314873	−	0.0734687i
$707$	−6.61246	+	3.01981i	−0.248687	+	0.113572i
$708$	6.61283	−	16.4893i	0.248525	−	0.619704i
$709$	8.86787	−	19.4179i	0.333040	−	0.729255i	−0.666833	−	0.745207i	$-0.732351\pi$
$709$	8.86787	−	19.4179i	0.333040	−	0.729255i	0.999873	+	0.0159518i	$0.00507783\pi$
$710$	0.558755	+	1.74976i	0.0209697	+	0.0656672i
$711$	−36.7823	+	23.6385i	−1.37944	+	0.886515i
$712$	0.812693	−	3.71971i	0.0304570	−	0.139402i
$713$	−0.971141	−	8.25730i	−0.0363695	−	0.309238i
$714$	−12.4275	+	6.03228i	−0.465087	+	0.225753i
$715$	0.725796	−	0.466441i	0.0271432	−	0.0174439i
$716$	−3.32946	−	3.49605i	−0.124428	−	0.130653i
$717$	19.1710	+	8.75510i	0.715954	+	0.326965i
$718$	−5.21465	−	5.73978i	−0.194609	−	0.214207i
$719$	24.1519	−	11.0298i	0.900714	−	0.411342i	0.0894291	−	0.995993i	$-0.471496\pi$
$719$	24.1519	−	11.0298i	0.900714	−	0.411342i	0.811285	+	0.584651i	$0.198768\pi$
$720$	−1.38026	+	1.93337i	−0.0514393	+	0.0720526i
$721$	2.77588	+	19.3067i	0.103379	+	0.719018i
$722$	−2.02495	−	12.0641i	−0.0753607	−	0.448980i
$723$	−26.6332	−	23.0778i	−0.990499	−	0.858272i
$724$	12.0484	−	4.16188i	0.447776	−	0.154675i
$725$	24.7000	−	38.4339i	0.917334	−	1.42740i
$726$	18.5502	+	4.97650i	0.688463	+	0.184695i
$727$	−11.7520	−	3.45070i	−0.435858	−	0.127979i	0.0564406	−	0.998406i	$-0.482025\pi$
$727$	−11.7520	−	3.45070i	−0.435858	−	0.127979i	−0.492298	+	0.870427i	$0.663843\pi$
$728$	8.84629	+	0.640731i	0.327866	+	0.0237471i
$729$	28.8326	+	33.2746i	1.06787	+	1.23239i
$730$	0.947902	−	1.14734i	0.0350834	−	0.0424648i
$731$	−7.77310	+	2.28239i	−0.287498	+	0.0844172i
$732$	−23.4778	−	45.6079i	−0.867764	−	1.68572i
$733$	1.37541	−	9.56616i	0.0508018	−	0.353334i	−0.948527	−	0.316697i	$-0.897426\pi$
$733$	1.37541	−	9.56616i	0.0508018	−	0.353334i	0.999329	−	0.0366374i	$-0.0116646\pi$
$734$	−45.3536	−	27.6632i	−1.67403	−	1.02107i
$735$	2.00481			0.0739486
$736$	−9.99643	−	25.2205i	−0.368473	−	0.929638i
$737$	13.6508			0.502835
$738$	−38.4594	−	23.4581i	−1.41571	−	0.863505i
$739$	4.45325	−	30.9730i	0.163815	−	1.13936i	−0.727543	−	0.686062i	$-0.759338\pi$
$739$	4.45325	−	30.9730i	0.163815	−	1.13936i	0.891358	−	0.453299i	$-0.149753\pi$
$740$	−1.26867	−	2.46453i	−0.0466374	−	0.0905978i
$741$	−23.5756	+	6.92243i	−0.866073	+	0.254302i
$742$	10.8196	−	13.0960i	0.397199	−	0.480768i
$743$	22.9251	+	26.4569i	0.841039	+	0.970611i	0.999861	−	0.0166964i	$-0.00531488\pi$
$743$	22.9251	+	26.4569i	0.841039	+	0.970611i	−0.158821	+	0.987307i	$0.550769\pi$
$744$	−13.5572	−	0.981939i	−0.497031	−	0.0359996i
$745$	1.64870	+	0.484101i	0.0604035	+	0.0177361i
$746$	−4.88032	−	1.30925i	−0.178681	−	0.0479352i
$747$	−39.1357	+	60.8963i	−1.43190	+	2.22808i
$748$	−14.4560	+	4.99351i	−0.528562	+	0.182581i
$749$	−12.1385	−	10.5181i	−0.443531	−	0.384322i
$750$	−0.821394	−	4.89366i	−0.0299931	−	0.178691i
$751$	−1.00943	−	7.02073i	−0.0368346	−	0.256190i	0.963081	−	0.269213i	$-0.0867636\pi$
$751$	−1.00943	−	7.02073i	−0.0368346	−	0.256190i	−0.999915	+	0.0130230i	$0.995855\pi$
$752$	16.9262	+	12.0838i	0.617234	+	0.440652i
$753$	−32.0672	+	14.6446i	−1.16859	+	0.533679i
$754$	24.0176	+	26.4362i	0.874670	+	0.962751i
$755$	−0.309930	−	0.141540i	−0.0112795	−	0.00515118i
$756$	−7.32996	−	7.69671i	−0.266588	−	0.279927i
$757$	−1.77708	+	1.14206i	−0.0645890	+	0.0415089i	−0.572537	−	0.819879i	$-0.694041\pi$
$757$	−1.77708	+	1.14206i	−0.0645890	+	0.0415089i	0.507948	+	0.861388i	$0.330404\pi$
$758$	−43.8257	+	21.2729i	−1.59182	+	0.772666i
$759$	22.1349	−	24.2551i	0.803447	−	0.880405i
$760$	0.246237	−	1.12703i	0.00893197	−	0.0408818i
$761$	−31.5581	+	20.2812i	−1.14398	+	0.735192i	−0.968432	−	0.249279i	$-0.919806\pi$
$761$	−31.5581	+	20.2812i	−1.14398	+	0.735192i	−0.175549	+	0.984471i	$0.556170\pi$
$762$	−6.75500	−	21.1534i	−0.244708	−	0.766308i
$763$	3.38885	−	7.42055i	0.122685	−	0.268642i
$764$	−10.7710	+	26.8578i	−0.389682	+	0.971682i
$765$	−1.67249	+	0.763799i	−0.0604689	+	0.0276152i
$766$	−1.07897	+	2.51753i	−0.0389846	+	0.0909620i
$767$	−8.73887	+	1.25646i	−0.315542	+	0.0453681i
$768$	−43.5717	+	8.28896i	−1.57226	+	0.299102i
$769$	−0.454395	−	0.393736i	−0.0163859	−	0.0141985i	0.646629	−	0.762804i	$-0.276178\pi$
$769$	−0.454395	−	0.393736i	−0.0163859	−	0.0141985i	−0.663015	+	0.748606i	$0.730724\pi$
$770$	−0.500454	−	0.0599894i	−0.0180351	−	0.00216187i
$771$	−30.2438	−	19.4365i	−1.08921	−	0.699990i
$772$	−3.72453	−	19.3875i	−0.134049	−	0.697772i
$773$	10.0648	+	2.95530i	0.362006	+	0.106295i	0.457677	−	0.889118i	$-0.348681\pi$
$773$	10.0648	+	2.95530i	0.362006	+	0.106295i	−0.0956710	+	0.995413i	$0.530500\pi$
$774$	−9.71196	−	14.3587i	−0.349089	−	0.516114i
$775$	6.52991	−	5.65820i	0.234561	−	0.203248i
$776$	−43.0651	+	9.32751i	−1.54595	+	0.334838i
$777$	33.0943	−	9.71736i	1.18725	−	0.348608i
$778$	47.8007	−	1.12347i	1.71374	−	0.0402783i
$779$	21.6544	+	3.11344i	0.775851	+	0.111550i
$780$	1.92766	+	0.185241i	0.0690214	+	0.00663269i
$781$	−25.3044			−0.905464
$782$	3.03464	−	20.7776i	0.108519	−	0.743005i
$783$		−	42.8013i		−	1.52959i
$784$	16.4954	+	15.7663i	0.589122	+	0.563082i
$785$	0.111127	−	0.772903i	0.00396628	−	0.0275861i
$786$	−31.7439	+	0.746084i	−1.13227	+	0.0266119i
$787$	8.93376	+	30.4256i	0.318454	+	1.08456i	0.950784	+	0.309856i	$0.100281\pi$
$787$	8.93376	+	30.4256i	0.318454	+	1.08456i	−0.632329	+	0.774700i	$0.717901\pi$
$788$	−5.01709	+	20.6265i	−0.178726	+	0.734789i
$789$	−2.64334	−	3.05057i	−0.0941053	−	0.108603i
$790$	−1.38618	+	0.937585i	−0.0493180	+	0.0333578i
$791$	−4.96801	+	16.9195i	−0.176642	+	0.601587i
$792$	−19.5882	−	26.2161i	−0.696036	−	0.931548i
$793$	−13.7818	+	21.4449i	−0.489406	+	0.761530i
$794$	−18.8016	−	2.25374i	−0.667242	−	0.0799823i
$795$	2.42886	−	2.80305i	0.0861427	−	0.0994140i
$796$	7.21111	−	5.12847i	0.255591	−	0.181774i
$797$	0.494860	+	3.44183i	0.0175288	+	0.121916i	0.996707	−	0.0810868i	$-0.0258391\pi$
$797$	0.494860	+	3.44183i	0.0175288	+	0.121916i	−0.979178	+	0.203003i	$0.934930\pi$
$798$	13.1941	+	5.65473i	0.467065	+	0.200175i
$799$	6.68686	+	14.6422i	0.236564	+	0.518003i
$800$	15.8377	−	23.3245i	0.559948	−	0.824645i
$801$	5.73597	+	2.61953i	0.202670	+	0.0925565i
$802$	10.2560	+	32.1169i	0.362152	+	1.13409i
$803$	11.0846	+	17.2480i	0.391167	+	0.608667i
$804$	24.0738	+	18.9553i	0.849017	+	0.668502i
$805$	0.388984	−	0.572344i	0.0137099	−	0.0201725i
$806$	2.94969	+	6.07684i	0.103898	+	0.214048i
$807$	21.1273	+	32.8748i	0.743717	+	1.15725i
$808$	−16.9202	−	6.32833i	−0.595251	−	0.222630i
$809$	−16.2705	+	35.6275i	−0.572041	+	1.25259i	0.373663	+	0.927565i	$0.378102\pi$
$809$	−16.2705	+	35.6275i	−0.572041	+	1.25259i	−0.945704	+	0.325030i	$0.894625\pi$
$810$	0.133800	+	0.147275i	0.00470127	+	0.00517470i
$811$	−15.0678	−	32.9938i	−0.529100	−	1.15857i	−0.965878	−	0.258998i	$-0.916608\pi$
$811$	−15.0678	−	32.9938i	−0.529100	−	1.15857i	0.436777	−	0.899570i	$-0.356120\pi$
$812$	−0.980323	−	20.8436i	−0.0344026	−	0.731466i
$813$	71.0460	−	10.2149i	2.49169	−	0.358251i
$814$	37.6598	−	6.32115i	1.31998	−	0.221556i
$815$	−1.20697	+	1.39291i	−0.0422782	+	0.0487916i
$816$	−32.4276	−	11.2670i	−1.13519	−	0.394425i
$817$	7.08192	+	4.55127i	0.247765	+	0.159229i
$818$	2.85481	+	0.765864i	0.0998159	+	0.0267778i
$819$	−4.13848	+	14.0944i	−0.144610	+	0.492497i
$820$	−1.49271	−	0.863014i	−0.0521276	−	0.0301378i
$821$	−16.8139	+	14.5693i	−0.586809	+	0.508473i	−0.896900	−	0.442234i	$-0.854186\pi$
$821$	−16.8139	+	14.5693i	−0.586809	+	0.508473i	0.310091	+	0.950707i	$0.399641\pi$
$822$	17.2854	+	14.2808i	0.602897	+	0.498099i
$823$	−6.33310	−	21.5685i	−0.220758	−	0.751832i	−0.993166	−	0.116706i	$-0.962766\pi$
$823$	−6.33310	−	21.5685i	−0.220758	−	0.751832i	0.772409	−	0.635126i	$-0.219052\pi$
$824$	−29.0831	+	38.7775i	−1.01316	+	1.35088i
$825$	33.7775	+	4.85647i	1.17598	+	0.169081i
$826$	4.40342	+	2.68585i	0.153215	+	0.0934525i
$827$		−	20.6627i		−	0.718511i	−0.933239	−	0.359255i	$-0.883031\pi$
$827$		−	20.6627i		−	0.718511i	0.933239	−	0.359255i	$-0.116969\pi$
$828$	44.3275	−	7.33878i	1.54049	−	0.255040i
$829$			33.6801i			1.16976i	0.811120	+	0.584880i	$0.198858\pi$
$829$			33.6801i			1.16976i	−0.811120	+	0.584880i	$0.801142\pi$
$830$	−1.44272	+	2.36533i	−0.0500776	+	0.0821018i
$831$	−1.86286	−	0.267839i	−0.0646219	−	0.00929123i
$832$	14.4038	+	16.6837i	0.499364	+	0.578404i
$833$	4.97577	+	16.9459i	0.172400	+	0.587141i
$834$	15.3442	−	18.5726i	0.531327	−	0.643116i
$835$	−0.873978	+	0.757306i	−0.0302453	+	0.0262077i
$836$	13.7586	+	7.95461i	0.475853	+	0.275116i
$837$	2.28053	−	7.76677i	0.0788266	−	0.268459i
$838$	−6.34574	+	23.6541i	−0.219210	+	0.817118i
$839$	−40.8955	−	26.2819i	−1.41187	−	0.907353i	−0.411876	−	0.911240i	$-0.635126\pi$
$839$	−40.8955	−	26.2819i	−1.41187	−	0.907353i	−0.999992	+	0.00388698i	$0.998763\pi$
$840$	−0.799270	−	0.800716i	−0.0275775	−	0.0276273i
$841$	36.0367	−	41.5886i	1.24265	−	1.43409i
$842$	−0.314452	−	1.87342i	−0.0108367	−	0.0645624i
$843$	15.9674	−	2.29576i	0.549946	−	0.0790702i
$844$	−20.6576	+	0.971575i	−0.711063	+	0.0334430i
$845$	0.284875	+	0.623788i	0.00979998	+	0.0214590i
$846$	−25.4934	+	23.1610i	−0.876482	+	0.796293i
$847$	−2.31638	+	5.07216i	−0.0795917	+	0.174282i
$848$	42.0282	−	3.96214i	1.44326	−	0.136060i
$849$	19.0380	+	29.6237i	0.653383	+	1.01668i
$850$	19.6311	−	9.52891i	0.673342	−	0.326839i
$851$	−16.0599	+	49.9079i	−0.550527	+	1.71082i
$852$	−44.6254	−	35.1373i	−1.52884	−	1.20378i
$853$	26.8108	+	41.7184i	0.917984	+	1.42841i	0.903535	+	0.428515i	$0.140963\pi$
$853$	26.8108	+	41.7184i	0.917984	+	1.42841i	0.0144494	+	0.999896i	$0.495400\pi$
$854$	14.1868	−	4.53033i	0.485464	−	0.155025i
$855$	1.73794	+	0.793690i	0.0594362	+	0.0271436i
$856$	−2.81148	−	39.8150i	−0.0960944	−	1.36085i
$857$	−4.90489	−	10.7402i	−0.167548	−	0.366879i	0.807170	−	0.590320i	$-0.200998\pi$
$857$	−4.90489	−	10.7402i	−0.167548	−	0.366879i	−0.974717	+	0.223441i	$0.928271\pi$
$858$	−10.5094	+	24.5213i	−0.358784	+	0.837143i
$859$	−0.256859	−	1.78649i	−0.00876391	−	0.0609543i	0.984970	−	0.172725i	$-0.0552570\pi$
$859$	−0.256859	−	1.78649i	−0.00876391	−	0.0609543i	−0.993734	+	0.111770i	$0.964348\pi$
$860$	−0.384532	−	0.540688i	−0.0131124	−	0.0184373i
$861$	14.0501	−	16.2146i	0.478824	−	0.552593i
$862$	−4.55757	+	38.0209i	−0.155231	+	1.29500i
$863$	−17.6107	+	27.4028i	−0.599476	+	0.932803i	0.400388	+	0.916346i	$0.368875\pi$
$863$	−17.6107	+	27.4028i	−0.599476	+	0.932803i	−0.999865	+	0.0164576i	$0.994761\pi$
$864$	0.668315	−	26.4044i	0.0227365	−	0.898297i
$865$	0.475723	−	1.62016i	0.0161751	−	0.0550872i
$866$	22.2005	+	32.8224i	0.754402	+	1.11535i
$867$	13.4603	+	15.5340i	0.457136	+	0.527563i
$868$	0.932692	−	3.83453i	0.0316576	−	0.130152i
$869$	−6.49521	−	22.1206i	−0.220335	−	0.750391i
$870$	−0.107050	−	4.55472i	−0.00362935	−	0.154419i
$871$	2.16701	−	15.0719i	0.0734263	−	0.510691i
$872$	19.0008	−	7.06738i	0.643448	−	0.239332i
$873$		−	72.9771i		−	2.46990i
$874$	−18.3822	+	11.7557i	−0.621787	+	0.397643i
$875$	1.44063			0.0487023
$876$	−4.40210	+	45.8093i	−0.148733	+	1.54775i
$877$	−13.9561	−	2.00658i	−0.471264	−	0.0677575i	−0.0974083	−	0.995245i	$-0.531055\pi$
$877$	−13.9561	−	2.00658i	−0.471264	−	0.0677575i	−0.373855	+	0.927487i	$0.621964\pi$
$878$	−0.974281	−	41.4531i	−0.0328804	−	1.39898i
$879$	70.5835	−	20.7252i	2.38072	−	0.699044i
$880$	−0.773100	−	0.985516i	−0.0260612	−	0.0332218i
$881$	27.6190	−	23.9320i	0.930507	−	0.806289i	−0.0508060	−	0.998709i	$-0.516179\pi$
$881$	27.6190	−	23.9320i	0.930507	−	0.806289i	0.981313	+	0.192420i	$0.0616336\pi$
$882$	−31.3030	+	21.1728i	−1.05403	+	0.712924i
$883$	−20.8266	−	6.11523i	−0.700870	−	0.205794i	−0.0881652	−	0.996106i	$-0.528100\pi$
$883$	−20.8266	−	6.11523i	−0.700870	−	0.205794i	−0.612705	+	0.790312i	$0.709919\pi$
$884$	3.21852	+	16.7535i	0.108250	+	0.563482i
$885$	0.947391	+	0.608851i	0.0318462	+	0.0204663i
$886$	−1.49897	+	12.5049i	−0.0503587	+	0.420111i
$887$	17.7475	+	15.3783i	0.595904	+	0.516354i	0.899772	−	0.436360i	$-0.143733\pi$
$887$	17.7475	+	15.3783i	0.595904	+	0.516354i	−0.303868	+	0.952714i	$0.598278\pi$
$888$	75.1920	+	41.1461i	2.52328	+	1.38077i
$889$	6.38132	−	0.917495i	0.214023	−	0.0307718i
$890$	0.221837	+	0.0950751i	0.00743599	+	0.00318692i
$891$	−2.49347	+	1.13873i	−0.0835345	+	0.0381489i
$892$	−5.30909	−	2.12915i	−0.177762	−	0.0712892i
$893$	6.94854	−	15.2152i	0.232524	−	0.509157i
$894$	−50.6158	+	16.1633i	−1.69284	+	0.540582i
$895$	0.257450	−	0.165453i	0.00860559	−	0.00553048i
$896$	−0.279309	−	12.8739i	−0.00933107	−	0.430085i
$897$	−23.2663	−	28.2896i	−0.776838	−	0.944561i
$898$	−17.9034	−	36.8839i	−0.597443	−	1.23083i
$899$	13.3690	−	8.59177i	0.445883	−	0.286551i
$900$	32.2016	+	33.8128i	1.07339	+	1.12709i
$901$	29.7213	+	13.5733i	0.990160	+	0.452191i
$902$	17.5813	−	15.9728i	0.585393	−	0.531836i
$903$	7.50980	−	3.42961i	0.249911	−	0.114130i
$904$	−38.4799	+	20.9665i	−1.27982	+	0.697336i
$905$	0.114994	+	0.799799i	0.00382252	+	0.0265862i
$906$	10.3905	−	1.74404i	0.345202	−	0.0579417i
$907$	26.2715	+	22.7644i	0.872330	+	0.755878i	0.970959	−	0.239246i	$-0.0769003\pi$
$907$	26.2715	+	22.7644i	0.872330	+	0.755878i	−0.0986291	+	0.995124i	$0.531446\pi$
$908$	−16.7102	−	48.3753i	−0.554548	−	1.60539i
$909$	16.1752	−	25.1692i	0.536499	−	0.834809i
$910$	−0.145679	+	0.543029i	−0.00482922	+	0.0180012i
$911$	−29.1793	−	8.56782i	−0.966754	−	0.283865i	−0.240008	−	0.970771i	$-0.577150\pi$
$911$	−29.1793	−	8.56782i	−0.966754	−	0.283865i	−0.726746	+	0.686906i	$0.758968\pi$
$912$	13.2183	+	33.1333i	0.437701	+	1.09715i
$913$	−24.9952	−	28.8460i	−0.827220	−	0.954663i
$914$	−23.1531	−	19.1286i	−0.765837	−	0.632716i
$915$	3.11991	−	0.916089i	0.103141	−	0.0302850i
$916$	20.2502	+	39.3380i	0.669084	+	1.29976i
$917$	1.31195	−	9.12482i	0.0433244	−	0.301328i
$918$	10.6455	−	17.4531i	0.351352	−	0.576039i
$919$	47.0611			1.55240			0.776202	−	0.630485i	$-0.217144\pi$
$919$	47.0611			1.55240			0.776202	+	0.630485i	$0.217144\pi$
$920$	1.68955	−	0.320676i	0.0557027	−	0.0105724i
$921$	−10.0713			−0.331859
$922$	7.70521	−	12.6326i	0.253758	−	0.416034i
$923$	−4.01697	+	27.9386i	−0.132220	+	0.919611i
$924$	13.8577	−	7.13358i	0.455885	−	0.234678i
$925$	−52.2775	+	15.3501i	−1.71887	+	0.504707i
$926$	15.6553	+	12.9341i	0.514466	+	0.425040i
$927$	−52.5708	−	60.6700i	−1.72665	−	1.99266i
$928$	34.9386	−	38.3177i	1.14691	−	1.25784i
$929$	19.0528	+	5.59442i	0.625103	+	0.183547i	0.578918	−	0.815386i	$-0.303475\pi$
$929$	19.0528	+	5.59442i	0.625103	+	0.183547i	0.0461856	+	0.998933i	$0.485293\pi$
$930$	0.223258	−	0.832207i	0.00732091	−	0.0272892i
$931$	9.92209	−	15.4391i	0.325183	−	0.505995i
$932$	−25.9643	+	8.96884i	−0.850490	+	0.293784i
$933$	−63.0550	−	54.6375i	−2.06433	−	1.78875i
$934$	−3.94012	+	0.661343i	−0.128925	+	0.0216398i
$935$	−0.137972	−	0.959616i	−0.00451217	−	0.0313828i
$936$	−32.0547	+	17.4656i	−1.04774	+	0.570883i
$937$	9.21956	−	4.21043i	0.301190	−	0.137549i	−0.259087	−	0.965854i	$-0.583422\pi$
$937$	9.21956	−	4.21043i	0.301190	−	0.137549i	0.560277	+	0.828305i	$0.310695\pi$
$938$	−6.58426	+	5.98187i	−0.214984	+	0.195315i
$939$	−4.85007	−	2.21495i	−0.158276	−	0.0722822i
$940$	−0.954651	+	0.909161i	−0.0311373	+	0.0296536i
$941$	11.4934	−	7.38635i	0.374674	−	0.240788i	−0.339728	−	0.940524i	$-0.610335\pi$
$941$	11.4934	−	7.38635i	0.374674	−	0.240788i	0.714402	+	0.699735i	$0.246699\pi$
$942$	10.5438	+	21.7220i	0.343536	+	0.707741i
$943$	8.37997	+	31.5174i	0.272890	+	1.02635i
$944$	3.00690	+	12.4601i	0.0978661	+	0.405541i
$945$	0.566788	−	0.364252i	0.0184376	−	0.0118491i
$946$	8.70717	−	2.78049i	0.283095	−	0.0904016i
$947$	15.2917	−	33.4843i	0.496915	−	1.08809i	−0.480545	−	0.876970i	$-0.659561\pi$
$947$	15.2917	−	33.4843i	0.496915	−	1.08809i	0.977460	−	0.211122i	$-0.0677117\pi$
$948$	19.2618	−	48.0298i	0.625593	−	1.55993i
$949$	20.8031	−	9.50046i	0.675297	−	0.308398i
$950$	−20.8420	−	8.93251i	−0.676205	−	0.289809i
$951$	−26.6649	+	3.83384i	−0.864670	+	0.124321i
$952$	4.78442	−	8.74323i	0.155064	−	0.283370i
$953$	−39.1182	−	33.8961i	−1.26716	−	1.09800i	−0.990569	−	0.137014i	$-0.956249\pi$
$953$	−39.1182	−	33.8961i	−1.26716	−	1.09800i	−0.276592	−	0.960987i	$-0.589205\pi$
$954$	−8.32111	+	69.4178i	−0.269406	+	2.24748i
$955$	−1.54312	−	0.991701i	−0.0499341	−	0.0320907i
$956$	−14.9326	+	2.86870i	−0.482955	+	0.0927803i
$957$	60.2223	+	17.6828i	1.94671	+	0.571605i
$958$	−32.2610	+	21.8207i	−1.04230	+	0.704994i
$959$	−4.91960	+	4.26286i	−0.158862	+	0.137655i
$960$	0.00507882	−	2.81151i	0.000163918	−	0.0907411i
$961$	−26.8605	+	7.88697i	−0.866469	+	0.254418i
$962$	−1.00085	−	42.5837i	−0.0322688	−	1.37295i
$963$	65.4319	+	9.40768i	2.10851	+	0.303158i
$964$	25.3090	+	2.43210i	0.815148	+	0.0783326i
$965$	1.25143			0.0402851
$966$	−0.0476905	+	21.3987i	−0.00153442	+	0.688493i
$967$			44.4095i			1.42811i	0.700088	+	0.714057i	$0.253144\pi$
$967$			44.4095i			1.42811i	−0.700088	+	0.714057i	$0.746856\pi$
$968$	−12.9876	+	4.83076i	−0.417437	+	0.155267i
$969$	−3.92939	+	27.3295i	−0.126230	+	0.877950i
$970$	−0.0656302	−	2.79240i	−0.00210726	−	0.0896584i
$971$	−2.18459	−	7.44002i	−0.0701067	−	0.238762i	0.916984	−	0.398924i	$-0.130616\pi$
$971$	−2.18459	−	7.44002i	−0.0701067	−	0.238762i	−0.987091	+	0.160163i	$0.948798\pi$
$972$	−33.2000	−	8.07540i	−1.06489	−	0.259019i
$973$	4.58030	+	5.28595i	0.146838	+	0.169460i
$974$	−3.18963	−	4.71573i	−0.102202	−	0.151102i
$975$	10.7241	−	36.5228i	0.343445	−	1.16967i
$976$	32.8747	+	16.9982i	1.05229	+	0.544100i
$977$	−0.133777	+	0.208161i	−0.00427990	+	0.00665966i	−0.843387	−	0.537307i	$-0.819442\pi$
$977$	−0.133777	+	0.208161i	−0.00427990	+	0.00665966i	0.839107	+	0.543966i	$0.183078\pi$
$978$	6.78315	−	56.5875i	0.216901	−	1.80947i
$979$	−2.17738	+	2.51283i	−0.0695893	+	0.0803103i
$980$	−1.17874	+	0.838306i	−0.0376534	+	0.0267787i
$981$	4.77821	+	33.2332i	0.152557	+	1.06105i
$982$	−9.99987	+	23.3325i	−0.319109	+	0.744570i
$983$	14.8816	+	32.5861i	0.474648	+	1.03933i	0.983901	+	0.178717i	$0.0571946\pi$
$983$	14.8816	+	32.5861i	0.474648	+	1.03933i	−0.509253	+	0.860617i	$0.670078\pi$
$984$	53.1848	−	3.75557i	1.69547	−	0.119723i
$985$	−1.22402	−	0.558992i	−0.0390006	−	0.0178110i
$986$	38.2336	−	12.2093i	1.21761	−	0.388822i
$987$	−8.86868	−	13.7999i	−0.282293	−	0.439257i
$988$	10.9668	−	13.9282i	0.348901	−	0.443114i
$989$	−2.10489	+	12.3714i	−0.0669315	+	0.393389i
$990$	1.86624	−	0.905867i	0.0593128	−	0.0287903i
$991$	−16.0065	−	24.9066i	−0.508463	−	0.791183i	0.488207	−	0.872728i	$-0.337651\pi$
$991$	−16.0065	−	24.9066i	−0.508463	−	0.791183i	−0.996670	+	0.0815445i	$0.974015\pi$
$992$	8.38161	−	5.09157i	0.266117	−	0.161658i
$993$	25.5753	−	56.0022i	0.811609	−	1.77718i
$994$	12.2052	−	11.0885i	0.387125	−	0.351707i
$995$	0.233015	+	0.510231i	0.00738706	+	0.0161754i
$996$	−4.02498	−	85.5790i	−0.127536	−	2.71167i
$997$	−6.19730	+	0.891037i	−0.196270	+	0.0282194i	−0.239749	−	0.970835i	$-0.577065\pi$
$997$	−6.19730	+	0.891037i	−0.196270	+	0.0282194i	0.0434784	+	0.999054i	$0.486156\pi$
$998$	−0.0599371	−	0.357090i	−0.00189727	−	0.0113035i
$999$	−33.4265	+	38.5763i	−1.05757	+	1.22050i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.11.19	yes	220
4.3	odd	2		736.2.r.a.655.3		220
8.3	odd	2	inner	184.2.j.a.11.11	✓	220
8.5	even	2		736.2.r.a.655.4		220
23.21	odd	22	inner	184.2.j.a.67.11	yes	220
92.67	even	22		736.2.r.a.527.4		220
184.21	odd	22		736.2.r.a.527.3		220
184.67	even	22	inner	184.2.j.a.67.19	yes	220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.11.11	✓	220	8.3	odd	2	inner
184.2.j.a.11.19	yes	220	1.1	even	1	trivial
184.2.j.a.67.11	yes	220	23.21	odd	22	inner
184.2.j.a.67.19	yes	220	184.67	even	22	inner
736.2.r.a.527.3		220	184.21	odd	22
736.2.r.a.527.4		220	92.67	even	22
736.2.r.a.655.3		220	4.3	odd	2
736.2.r.a.655.4		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+(1.20735 + 0.736416i) q^{2} +(0.394507 - 2.74385i) q^{3} +(0.915382 + 1.77822i) q^{4} +(-0.121643 + 0.0357177i) q^{5} +(2.49693 - 3.02227i) q^{6} +(0.745341 + 0.860169i) q^{7} +(-0.204326 + 2.82104i) q^{8} +(-4.49462 - 1.31974i) q^{9} +(-0.173169 - 0.0464564i) q^{10} +(1.33538 - 2.07789i) q^{11} +(5.24031 - 1.81016i) q^{12} +(-2.08221 - 1.80425i) q^{13} +(0.266444 + 1.58741i) q^{14} +(0.0500150 + 0.347862i) q^{15} +(-2.32415 + 3.25551i) q^{16} +(-2.81621 + 1.28612i) q^{17} +(-4.45470 - 4.90330i) q^{18} +(2.92642 + 1.33645i) q^{19} +(-0.174864 - 0.183613i) q^{20} +(2.65422 - 1.70576i) q^{21} +(3.14245 - 1.52534i) q^{22} +(-0.123371 + 4.79424i) q^{23} +(7.65991 + 1.67356i) q^{24} +(-4.19275 + 2.69451i) q^{25} +(-1.18528 - 3.71173i) q^{26} +(-1.93965 + 4.24724i) q^{27} +(-0.847300 + 2.11277i) q^{28} +(-8.33838 + 3.80801i) q^{29} +(-0.195786 + 0.456823i) q^{30} +(-1.71599 + 0.246722i) q^{31} +(-5.20347 + 2.21899i) q^{32} +(-5.17460 - 4.48382i) q^{33} +(-4.34727 - 0.521107i) q^{34} +(-0.121389 - 0.0780120i) q^{35} +(-1.76751 - 9.20050i) q^{36} +(10.4892 + 3.07991i) q^{37} +(2.54903 + 3.76863i) q^{38} +(-5.77203 + 5.00149i) q^{39} +(-0.0759061 - 0.350458i) q^{40} +(6.52470 - 1.91583i) q^{41} +(4.46072 - 0.104841i) q^{42} +(2.59006 + 0.372394i) q^{43} +(4.91732 + 0.472536i) q^{44} +0.593878 q^{45} +(-3.67951 + 5.69747i) q^{46} -5.19924i q^{47} +(8.01574 + 7.66145i) q^{48} +(0.811846 - 5.64651i) q^{49} +(-7.04639 + 0.165613i) q^{50} +(2.41791 + 8.23466i) q^{51} +(1.30233 - 5.35421i) q^{52} +(-6.91117 - 7.97591i) q^{53} +(-5.46957 + 3.69951i) q^{54} +(-0.0882223 + 0.300457i) q^{55} +(-2.57886 + 1.92688i) q^{56} +(4.82152 - 7.50243i) q^{57} +(-12.8716 - 1.54292i) q^{58} +(2.09846 - 2.42175i) q^{59} +(-0.572793 + 0.407365i) q^{60} +(-1.31674 - 9.15814i) q^{61} +(-2.25349 - 0.965802i) q^{62} +(-2.21482 - 4.84979i) q^{63} +(-7.91650 - 1.15282i) q^{64} +(0.317730 + 0.145103i) q^{65} +(-2.94559 - 9.22419i) q^{66} +(2.98795 + 4.64934i) q^{67} +(-4.86492 - 3.83056i) q^{68} +(13.1060 + 2.22987i) q^{69} +(-0.0891096 - 0.183580i) q^{70} +(-5.53873 - 8.61844i) q^{71} +(4.64140 - 12.4098i) q^{72} +(-3.44824 + 7.55060i) q^{73} +(10.3960 + 11.4430i) q^{74} +(5.73929 + 12.5673i) q^{75} +(0.302286 + 6.42719i) q^{76} +(2.78264 - 0.400084i) q^{77} +(-10.6520 + 1.78793i) q^{78} +(6.11237 - 7.05406i) q^{79} +(0.166438 - 0.479024i) q^{80} +(-0.933622 - 0.600003i) q^{81} +(9.28844 + 2.49183i) q^{82} +(4.35361 - 14.8270i) q^{83} +(5.46285 + 3.15837i) q^{84} +(0.296636 - 0.257037i) q^{85} +(2.85287 + 2.35697i) q^{86} +(7.15908 + 24.3816i) q^{87} +(5.58894 + 4.19171i) q^{88} +(-1.33244 - 0.191576i) q^{89} +(0.717018 + 0.437341i) q^{90} -3.13583i q^{91} +(-8.63816 + 4.16919i) q^{92} +4.80575i q^{93} +(3.82881 - 6.27730i) q^{94} +(-0.403714 - 0.0580454i) q^{95} +(4.03579 + 15.1530i) q^{96} +(4.38907 + 14.9478i) q^{97} +(5.13836 - 6.21945i) q^{98} +(-8.74428 + 7.57696i) 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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