LMFDB - Embedded newform 92.2.h.a.15.8

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [92,2,Mod(7,92)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("92.7"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(92, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([11, 19])) N = Newforms(chi, 2, names="a")

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

Newform invariants

comment:select newform

sage: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:	$0.734623698596$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			15.8
Character	$\chi$	$=$	92.15
Dual form			92.2.h.a.43.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.04458 - 0.953336i) q^{2} +(-1.21411 + 0.554465i) q^{3} +(0.182300 - 1.99167i) q^{4} +(1.69342 - 1.46736i) q^{5} +(-0.739644 + 1.73664i) q^{6} +(0.867633 + 0.557594i) q^{7} +(-1.70831 - 2.25426i) q^{8} +(-0.797954 + 0.920888i) q^{9} +(0.370032 - 3.14718i) q^{10} +(0.336663 + 2.34155i) q^{11} +(0.882981 + 2.51919i) q^{12} +(-2.26735 + 1.45714i) q^{13} +(1.43789 - 0.244694i) q^{14} +(-1.24240 + 2.72048i) q^{15} +(-3.93353 - 0.726166i) q^{16} +(1.38837 + 4.72834i) q^{17} +(0.0443880 + 1.72266i) q^{18} +(-2.96935 - 0.871880i) q^{19} +(-2.61379 - 3.64025i) q^{20} +(-1.36257 - 0.195907i) q^{21} +(2.58395 + 2.12498i) q^{22} +(-0.793181 - 4.72978i) q^{23} +(3.32398 + 1.78972i) q^{24} +(0.00296429 - 0.0206171i) q^{25} +(-0.979291 + 3.68365i) q^{26} +(1.58631 - 5.40247i) q^{27} +(1.26871 - 1.62639i) q^{28} +(5.20872 - 1.52942i) q^{29} +(1.29574 + 4.02619i) q^{30} +(6.46087 + 2.95058i) q^{31} +(-4.80118 + 2.99144i) q^{32} +(-1.70705 - 2.65622i) q^{33} +(5.95796 + 3.61556i) q^{34} +(2.28746 - 0.328887i) q^{35} +(1.68864 + 1.75714i) q^{36} +(-7.85160 - 6.80345i) q^{37} +(-3.93292 + 1.92004i) q^{38} +(1.94488 - 3.02629i) q^{39} +(-6.20070 - 1.31071i) q^{40} +(-1.13470 - 1.30951i) q^{41} +(-1.61008 + 1.09434i) q^{42} +(-4.13272 - 9.04940i) q^{43} +(4.72497 - 0.243659i) q^{44} +2.73034i q^{45} +(-5.33762 - 4.18448i) q^{46} +13.2724i q^{47} +(5.17837 - 1.29936i) q^{48} +(-2.46603 - 5.39985i) q^{49} +(-0.0165586 - 0.0243622i) q^{50} +(-4.30732 - 4.97092i) q^{51} +(2.48881 + 4.78147i) q^{52} +(0.918064 - 1.42853i) q^{53} +(-3.49334 - 7.15561i) q^{54} +(4.00600 + 3.47122i) q^{55} +(-0.225223 - 2.90841i) q^{56} +(4.08854 - 0.587843i) q^{57} +(3.98288 - 6.56327i) q^{58} +(1.77958 + 2.76909i) q^{59} +(5.19182 + 2.97040i) q^{60} +(1.77674 + 0.811408i) q^{61} +(9.56181 - 3.07726i) q^{62} +(-1.20581 + 0.354059i) q^{63} +(-2.16337 + 7.70194i) q^{64} +(-1.70144 + 5.79458i) q^{65} +(-4.31542 - 1.14725i) q^{66} +(1.43841 - 10.0044i) q^{67} +(9.67041 - 1.90319i) q^{68} +(3.58551 + 5.30268i) q^{69} +(2.07590 - 2.52427i) q^{70} +(7.55164 + 1.08576i) q^{71} +(3.43907 + 0.225635i) q^{72} +(-5.29459 - 1.55463i) q^{73} +(-14.6876 + 0.378457i) q^{74} +(0.00783248 + 0.0266750i) q^{75} +(-2.27781 + 5.75503i) q^{76} +(-1.01353 + 2.21932i) q^{77} +(-0.853489 - 5.01533i) q^{78} +(-7.39069 + 4.74971i) q^{79} +(-7.72669 + 4.54220i) q^{80} +(0.549293 + 3.82042i) q^{81} +(-2.43369 - 0.286143i) q^{82} +(-2.62472 + 3.02909i) q^{83} +(-0.638580 + 2.67807i) q^{84} +(9.28927 + 5.96985i) q^{85} +(-12.9441 - 5.51296i) q^{86} +(-5.47594 + 4.74493i) q^{87} +(4.70333 - 4.75901i) q^{88} +(12.5168 - 5.71625i) q^{89} +(2.60293 + 2.85206i) q^{90} -2.77972 q^{91} +(-9.56479 + 0.717516i) q^{92} -9.48020 q^{93} +(12.6530 + 13.8641i) q^{94} +(-6.30773 + 2.88064i) q^{95} +(4.17050 - 6.29401i) q^{96} +(-3.76161 + 3.25946i) q^{97} +(-7.72384 - 3.28963i) q^{98} +(-2.42494 - 1.55842i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25}+ \cdots - 71 q^{98}+O(q^{100}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

Character values

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

$n$	$5$	$47$
$\chi(n)$	$e\left(\frac{17}{22}\right)$	$-1$

Coefficient data

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

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

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

$2$	1.04458	−	0.953336i	0.738631	−	0.674110i
$2$	1.04458	−	0.953336i	0.738631	−	0.674110i
$3$	−1.21411	+	0.554465i	−0.700966	+	0.320120i	−0.733824	−	0.679340i	$-0.762266\pi$
$3$	−1.21411	+	0.554465i	−0.700966	+	0.320120i	0.0328582	+	0.999460i	$0.489539\pi$
$4$	0.182300	−	1.99167i	0.0911502	−	0.995837i
$5$	1.69342	−	1.46736i	0.757322	−	0.656223i	−0.188071	−	0.982155i	$-0.560224\pi$
$5$	1.69342	−	1.46736i	0.757322	−	0.656223i	0.945393	+	0.325932i	$0.105678\pi$
$6$	−0.739644	+	1.73664i	−0.301958	+	0.708979i
$7$	0.867633	+	0.557594i	0.327934	+	0.210751i	0.694239	−	0.719744i	$-0.255741\pi$
$7$	0.867633	+	0.557594i	0.327934	+	0.210751i	−0.366305	+	0.930495i	$0.619377\pi$
$8$	−1.70831	−	2.25426i	−0.603978	−	0.797001i
$9$	−0.797954	+	0.920888i	−0.265985	+	0.306963i
$10$	0.370032	−	3.14718i	0.117014	−	0.995225i
$11$	0.336663	+	2.34155i	0.101508	+	0.706002i	0.975490	+	0.220044i	$0.0706202\pi$
$11$	0.336663	+	2.34155i	0.101508	+	0.706002i	−0.873982	+	0.485958i	$0.838471\pi$
$12$	0.882981	+	2.51919i	0.254895	+	0.727227i
$13$	−2.26735	+	1.45714i	−0.628851	+	0.404138i	−0.815884	−	0.578216i	$-0.803749\pi$
$13$	−2.26735	+	1.45714i	−0.628851	+	0.404138i	0.187033	+	0.982354i	$0.440113\pi$
$14$	1.43789	−	0.244694i	0.384292	−	0.0653971i
$15$	−1.24240	+	2.72048i	−0.320786	+	0.702424i
$16$	−3.93353	−	0.726166i	−0.983383	−	0.181542i
$17$	1.38837	+	4.72834i	0.336728	+	1.14679i	0.937678	+	0.347504i	$0.112971\pi$
$17$	1.38837	+	4.72834i	0.336728	+	1.14679i	−0.600950	+	0.799286i	$0.705211\pi$
$18$	0.0443880	+	1.72266i	0.0104623	+	0.406035i
$19$	−2.96935	−	0.871880i	−0.681216	−	0.200023i	−0.0772242	−	0.997014i	$-0.524606\pi$
$19$	−2.96935	−	0.871880i	−0.681216	−	0.200023i	−0.603991	+	0.796991i	$0.706424\pi$
$20$	−2.61379	−	3.64025i	−0.584462	−	0.813984i
$21$	−1.36257	−	0.195907i	−0.297336	−	0.0427505i
$22$	2.58395	+	2.12498i	0.550900	+	0.453047i
$23$	−0.793181	−	4.72978i	−0.165390	−	0.986228i
$23$	−0.793181	−	4.72978i	−0.165390	−	0.986228i
$24$	3.32398	+	1.78972i	0.678504	+	0.365325i
$25$	0.00296429	−	0.0206171i	0.000592858	−	0.00412342i
$26$	−0.979291	+	3.68365i	−0.192055	+	0.722424i
$27$	1.58631	−	5.40247i	0.305285	−	1.03971i
$28$	1.26871	−	1.62639i	0.239765	−	0.307359i
$29$	5.20872	−	1.52942i	0.967235	−	0.284006i	0.240290	−	0.970701i	$-0.422757\pi$
$29$	5.20872	−	1.52942i	0.967235	−	0.284006i	0.726945	+	0.686695i	$0.240939\pi$
$30$	1.29574	+	4.02619i	0.236569	+	0.735078i
$31$	6.46087	+	2.95058i	1.16041	+	0.529940i	0.900142	−	0.435597i	$-0.143463\pi$
$31$	6.46087	+	2.95058i	1.16041	+	0.529940i	0.260265	+	0.965537i	$0.416190\pi$
$32$	−4.80118	+	2.99144i	−0.848736	+	0.528817i
$33$	−1.70705	−	2.65622i	−0.297159	−	0.462389i
$34$	5.95796	+	3.61556i	1.02178	+	0.620063i
$35$	2.28746	−	0.328887i	0.386651	−	0.0555921i
$36$	1.68864	+	1.75714i	0.281440	+	0.292857i
$37$	−7.85160	−	6.80345i	−1.29079	−	1.11848i	−0.986122	−	0.166022i	$-0.946908\pi$
$37$	−7.85160	−	6.80345i	−1.29079	−	1.11848i	−0.304672	−	0.952457i	$-0.598547\pi$
$38$	−3.93292	+	1.92004i	−0.638004	+	0.311472i
$39$	1.94488	−	3.02629i	0.311430	−	0.484595i
$40$	−6.20070	−	1.31071i	−0.980417	−	0.207242i
$41$	−1.13470	−	1.30951i	−0.177210	−	0.204512i	0.660195	−	0.751095i	$-0.270474\pi$
$41$	−1.13470	−	1.30951i	−0.177210	−	0.204512i	−0.837405	+	0.546583i	$0.815928\pi$
$42$	−1.61008	+	1.09434i	−0.248440	+	0.168861i
$43$	−4.13272	−	9.04940i	−0.630234	−	1.38002i	−0.907837	−	0.419324i	$-0.862267\pi$
$43$	−4.13272	−	9.04940i	−0.630234	−	1.38002i	0.277603	−	0.960696i	$-0.410460\pi$
$44$	4.72497	−	0.243659i	0.712316	−	0.0367330i
$45$			2.73034i			0.407015i
$46$	−5.33762	−	4.18448i	−0.786989	−	0.616968i
$47$			13.2724i			1.93597i	0.251001	+	0.967987i	$0.419240\pi$
$47$			13.2724i			1.93597i	−0.251001	+	0.967987i	$0.580760\pi$
$48$	5.17837	−	1.29936i	0.747433	−	0.187547i
$49$	−2.46603	−	5.39985i	−0.352290	−	0.771407i
$50$	−0.0165586	−	0.0243622i	−0.00234174	−	0.00344533i
$51$	−4.30732	−	4.97092i	−0.603146	−	0.696067i
$52$	2.48881	+	4.78147i	0.345136	+	0.663070i
$53$	0.918064	−	1.42853i	0.126106	−	0.196224i	−0.772460	−	0.635064i	$-0.780974\pi$
$53$	0.918064	−	1.42853i	0.126106	−	0.196224i	0.898566	+	0.438839i	$0.144610\pi$
$54$	−3.49334	−	7.15561i	−0.475384	−	0.973755i
$55$	4.00600	+	3.47122i	0.540169	+	0.468059i
$56$	−0.225223	−	2.90841i	−0.0300966	−	0.388653i
$57$	4.08854	−	0.587843i	0.541540	−	0.0778617i
$58$	3.98288	−	6.56327i	0.522978	−	0.861799i
$59$	1.77958	+	2.76909i	0.231682	+	0.360504i	0.937557	−	0.347833i	$-0.113082\pi$
$59$	1.77958	+	2.76909i	0.231682	+	0.360504i	−0.705875	+	0.708337i	$0.749446\pi$
$60$	5.19182	+	2.97040i	0.670260	+	0.383477i
$61$	1.77674	+	0.811408i	0.227488	+	0.103890i	0.525898	−	0.850547i	$-0.323729\pi$
$61$	1.77674	+	0.811408i	0.227488	+	0.103890i	−0.298411	+	0.954438i	$0.596457\pi$
$62$	9.56181	−	3.07726i	1.21435	−	0.390813i
$63$	−1.20581	+	0.354059i	−0.151918	+	0.0446072i
$64$	−2.16337	+	7.70194i	−0.270421	+	0.962742i
$65$	−1.70144	+	5.79458i	−0.211038	+	0.718729i
$66$	−4.31542	−	1.14725i	−0.531192	−	0.141216i
$67$	1.43841	−	10.0044i	0.175730	−	1.22223i	−0.690777	−	0.723068i	$-0.742731\pi$
$67$	1.43841	−	10.0044i	0.175730	−	1.22223i	0.866508	−	0.499164i	$-0.166359\pi$
$68$	9.67041	−	1.90319i	1.17271	−	0.230796i
$69$	3.58551	+	5.30268i	0.431644	+	0.638368i
$70$	2.07590	−	2.52427i	0.248117	−	0.301708i
$71$	7.55164	+	1.08576i	0.896215	+	0.128856i	0.575003	−	0.818151i	$-0.305001\pi$
$71$	7.55164	+	1.08576i	0.896215	+	0.128856i	0.321212	+	0.947007i	$0.395910\pi$
$72$	3.43907	+	0.225635i	0.405299	+	0.0265914i
$73$	−5.29459	−	1.55463i	−0.619685	−	0.181956i	−0.0432037	−	0.999066i	$-0.513756\pi$
$73$	−5.29459	−	1.55463i	−0.619685	−	0.181956i	−0.576481	+	0.817110i	$0.695575\pi$
$74$	−14.6876	+	0.378457i	−1.70740	+	0.0439947i
$75$	0.00783248	+	0.0266750i	0.000904417	+	0.00308016i
$76$	−2.27781	+	5.75503i	−0.261283	+	0.660148i
$77$	−1.01353	+	2.21932i	−0.115503	+	0.252915i
$78$	−0.853489	−	5.01533i	−0.0966386	−	0.567875i
$79$	−7.39069	+	4.74971i	−0.831518	+	0.534384i	−0.885760	−	0.464144i	$-0.846362\pi$
$79$	−7.39069	+	4.74971i	−0.831518	+	0.534384i	0.0542421	+	0.998528i	$0.482726\pi$
$80$	−7.72669	+	4.54220i	−0.863870	+	0.507834i
$81$	0.549293	+	3.82042i	0.0610326	+	0.424491i
$82$	−2.43369	−	0.286143i	−0.268756	−	0.0315992i
$83$	−2.62472	+	3.02909i	−0.288100	+	0.332485i	−0.881289	−	0.472578i	$-0.843323\pi$
$83$	−2.62472	+	3.02909i	−0.288100	+	0.332485i	0.593188	+	0.805064i	$0.297869\pi$
$84$	−0.638580	+	2.67807i	−0.0696748	+	0.292202i
$85$	9.28927	+	5.96985i	1.00756	+	0.647521i
$86$	−12.9441	−	5.51296i	−1.39580	−	0.594478i
$87$	−5.47594	+	4.74493i	−0.587083	+	0.508710i
$88$	4.70333	−	4.75901i	0.501376	−	0.507312i
$89$	12.5168	−	5.71625i	1.32678	−	0.605921i	0.379165	−	0.925329i	$-0.376211\pi$
$89$	12.5168	−	5.71625i	1.32678	−	0.605921i	0.947617	+	0.319408i	$0.103484\pi$
$90$	2.60293	+	2.85206i	0.274373	+	0.300634i
$91$	−2.77972			−0.291394
$92$	−9.56479	+	0.717516i	−0.997198	+	0.0748062i
$93$	−9.48020			−0.983051
$94$	12.6530	+	13.8641i	1.30506	+	1.42997i
$95$	−6.30773	+	2.88064i	−0.647159	+	0.295548i
$96$	4.17050	−	6.29401i	0.425650	−	0.642380i
$97$	−3.76161	+	3.25946i	−0.381934	+	0.330948i	−0.824576	−	0.565751i	$-0.808587\pi$
$97$	−3.76161	+	3.25946i	−0.381934	+	0.330948i	0.442643	+	0.896698i	$0.354041\pi$
$98$	−7.72384	−	3.28963i	−0.780226	−	0.332303i
$99$	−2.42494	−	1.55842i	−0.243716	−	0.156627i
$100$	−0.0405221	−	0.00966240i	−0.00405221	−	0.000966240i
$101$	1.75932	−	2.03037i	0.175059	−	0.202029i	−0.661439	−	0.749999i	$-0.730054\pi$
$101$	1.75932	−	2.03037i	0.175059	−	0.202029i	0.836498	+	0.547970i	$0.184599\pi$
$102$	−9.23830	−	1.08620i	−0.914728	−	0.107550i
$103$	−0.440960	−	3.06695i	−0.0434491	−	0.302195i	−0.999945	−	0.0104507i	$-0.996673\pi$
$103$	−0.440960	−	3.06695i	−0.0434491	−	0.302195i	0.956496	−	0.291745i	$-0.0942357\pi$
$104$	7.15811	+	2.62196i	0.701910	+	0.257104i
$105$	−2.59487	+	1.66762i	−0.253233	+	0.162743i
$106$	−0.402882	−	2.36744i	−0.0391313	−	0.229946i
$107$	−5.77466	+	12.6448i	−0.558258	+	1.22241i	0.394560	+	0.918870i	$0.370897\pi$
$107$	−5.77466	+	12.6448i	−0.558258	+	1.22241i	−0.952817	+	0.303544i	$0.901830\pi$
$108$	−10.4708	−	4.14428i	−1.00755	−	0.398784i
$109$	1.57183	+	5.35315i	0.150554	+	0.512739i	0.999886	−	0.0151203i	$-0.00481313\pi$
$109$	1.57183	+	5.35315i	0.150554	+	0.512739i	−0.849332	+	0.527859i	$0.822995\pi$
$110$	7.49384	−	0.193094i	0.714509	−	0.0184108i
$111$	13.3050	+	3.90669i	1.26285	+	0.370806i
$112$	−3.00796	−	2.82336i	−0.284225	−	0.266782i
$113$	−5.59771	−	0.804829i	−0.526588	−	0.0757119i	−0.126106	−	0.992017i	$-0.540248\pi$
$113$	−5.59771	−	0.804829i	−0.526588	−	0.0757119i	−0.400482	+	0.916305i	$0.631157\pi$
$114$	3.71040	−	4.51180i	0.347511	−	0.422569i
$115$	−8.28349	−	6.84565i	−0.772439	−	0.638360i
$116$	−2.09655	−	10.6529i	−0.194660	−	0.989096i
$117$	0.467382	−	3.25071i	0.0432094	−	0.300528i
$118$	4.49879	+	1.19599i	0.414147	+	0.110100i
$119$	−1.43190	+	4.87661i	−0.131262	+	0.447038i
$120$	8.25506	−	1.84672i	0.753581	−	0.168582i
$121$	5.18493	−	1.52243i	0.471357	−	0.138403i
$122$	2.62949	−	0.846245i	0.238063	−	0.0766154i
$123$	2.10373	+	0.960740i	0.189687	+	0.0866270i
$124$	7.05442	−	12.3301i	0.633506	−	1.10727i
$125$	6.03189	+	9.38581i	0.539509	+	0.839492i
$126$	−0.922033	+	1.51939i	−0.0821412	+	0.135358i
$127$	16.3105	−	2.34510i	1.44732	−	0.208094i	0.626565	−	0.779369i	$-0.284460\pi$
$127$	16.3105	−	2.34510i	1.44732	−	0.208094i	0.820758	+	0.571275i	$0.193551\pi$
$128$	5.08272	+	10.1077i	0.449253	+	0.893405i
$129$	10.0351	+	8.69550i	0.883545	+	0.765596i
$130$	3.74689	+	7.67496i	0.328624	+	0.673138i
$131$	3.78243	−	5.88557i	0.330472	−	0.514225i	−0.635764	−	0.771884i	$-0.719315\pi$
$131$	3.78243	−	5.88557i	0.330472	−	0.514225i	0.966236	+	0.257659i	$0.0829511\pi$
$132$	−5.60152	+	2.91566i	−0.487550	+	0.253775i
$133$	−2.09015	−	2.41216i	−0.181239	−	0.209161i
$134$	−8.03501	−	11.8217i	−0.694119	−	1.02124i
$135$	−5.24108	−	11.4764i	−0.451080	−	0.987728i
$136$	8.28715	−	11.2072i	0.710617	−	0.961009i
$137$		−	18.3754i		−	1.56992i	−0.619549	−	0.784958i	$-0.712684\pi$
$137$		−	18.3754i		−	1.56992i	0.619549	−	0.784958i	$-0.287316\pi$
$138$	8.80059	+	2.12089i	0.749156	+	0.180542i
$139$			10.0694i			0.854078i	0.904233	+	0.427039i	$0.140443\pi$
$139$			10.0694i			0.854078i	−0.904233	+	0.427039i	$0.859557\pi$
$140$	−0.238031	−	4.61583i	−0.0201173	−	0.390109i
$141$	−7.35906	−	16.1141i	−0.619744	−	1.35705i
$142$	8.92340	−	6.06509i	0.748835	−	0.508971i
$143$	−4.17529	−	4.81855i	−0.349156	−	0.402947i
$144$	3.80750	−	3.04290i	0.317291	−	0.253575i
$145$	6.57637	−	10.2330i	0.546137	−	0.849806i
$146$	−7.01272	+	3.42359i	−0.580377	+	0.283338i
$147$	5.98805	+	5.18868i	0.493886	+	0.427955i
$148$	−14.9816	+	14.3976i	−1.23148	+	1.18347i
$149$	−8.55125	+	1.22948i	−0.700546	+	0.100723i	−0.483379	−	0.875411i	$-0.660591\pi$
$149$	−8.55125	+	1.22948i	−0.700546	+	0.100723i	−0.217167	+	0.976134i	$0.569682\pi$
$150$	0.0336119	+	0.0203972i	0.00274440	+	0.00166542i
$151$	0.400939	+	0.623873i	0.0326279	+	0.0507701i	0.857184	−	0.515010i	$-0.172212\pi$
$151$	0.400939	+	0.623873i	0.0326279	+	0.0507701i	−0.824556	+	0.565780i	$0.808575\pi$
$152$	3.10712	+	8.18313i	0.252021	+	0.663739i
$153$	−5.46212	−	2.49447i	−0.441587	−	0.201666i
$154$	1.05705	+	3.28450i	0.0851791	+	0.264672i
$155$	15.2706	−	4.48384i	1.22656	−	0.360151i
$156$	−5.67284	−	4.42526i	−0.454191	−	0.354305i
$157$	−3.13825	+	10.6879i	−0.250460	+	0.852987i	0.734264	+	0.678864i	$0.237527\pi$
$157$	−3.13825	+	10.6879i	−0.250460	+	0.852987i	−0.984724	+	0.174124i	$0.944291\pi$
$158$	−3.19211	+	12.0073i	−0.253951	+	0.955247i
$159$	−0.322557	+	2.24343i	−0.0255804	+	0.177916i
$160$	−3.74091	+	12.1108i	−0.295745	+	0.957445i
$161$	1.94911	−	4.54599i	0.153611	−	0.358274i
$162$	4.21592	+	3.46708i	0.331234	+	0.272399i
$163$	−12.6148	−	1.81374i	−0.988070	−	0.142063i	−0.370714	−	0.928747i	$-0.620887\pi$
$163$	−12.6148	−	1.81374i	−0.988070	−	0.142063i	−0.617356	+	0.786684i	$0.711796\pi$
$164$	−2.81498	+	2.02123i	−0.219813	+	0.157831i
$165$	−6.78839	−	1.99325i	−0.528476	−	0.155174i
$166$	0.146006	+	5.66637i	0.0113322	+	0.439795i
$167$	−4.15816	−	14.1614i	−0.321768	−	1.09584i	−0.948545	−	0.316643i	$-0.897444\pi$
$167$	−4.15816	−	14.1614i	−0.321768	−	1.09584i	0.626777	−	0.779199i	$-0.284374\pi$
$168$	1.88606	+	3.40625i	0.145512	+	0.262798i
$169$	−2.38276	+	5.21751i	−0.183289	+	0.401347i
$170$	15.3947	−	2.61980i	1.18072	−	0.200930i
$171$	3.17231	−	2.03872i	0.242593	−	0.155905i
$172$	−18.7768	+	6.58133i	−1.43172	+	0.501821i
$173$	1.28739	+	8.95399i	0.0978784	+	0.680759i	0.978395	+	0.206744i	$0.0662867\pi$
$173$	1.28739	+	8.95399i	0.0978784	+	0.680759i	−0.880517	+	0.474015i	$0.842804\pi$
$174$	−1.19655	+	10.1769i	−0.0907105	+	0.771508i
$175$	0.0140679	−	0.0162352i	0.00106343	−	0.00122726i
$176$	0.376074	−	9.45502i	0.0283476	−	0.712699i
$177$	−3.69597	−	2.37525i	−0.277806	−	0.178535i
$178$	7.62535	−	17.9038i	0.571544	−	1.34195i
$179$	10.6654	−	9.24163i	0.797170	−	0.690752i	−0.157794	−	0.987472i	$-0.550438\pi$
$179$	10.6654	−	9.24163i	0.797170	−	0.690752i	0.954965	+	0.296720i	$0.0958928\pi$
$180$	5.43795	+	0.497742i	0.405321	+	0.0370995i
$181$	11.5684	−	5.28312i	0.859875	−	0.392692i	0.0638526	−	0.997959i	$-0.479661\pi$
$181$	11.5684	−	5.28312i	0.859875	−	0.392692i	0.796022	+	0.605268i	$0.206934\pi$
$182$	−2.90365	+	2.65001i	−0.215233	+	0.196432i
$183$	−2.60705			−0.192718
$184$	−9.30717	+	9.86796i	−0.686133	+	0.727476i
$185$	−23.2792			−1.71152
$186$	−9.90284	+	9.03781i	−0.726111	+	0.662685i
$187$	−10.6042	+	4.84278i	−0.775456	+	0.354139i
$188$	26.4342	+	2.41956i	1.92791	+	0.176464i
$189$	4.38872	−	3.80285i	0.319232	−	0.276616i
$190$	−3.84272	+	9.02245i	−0.278780	+	0.654558i
$191$	3.79258	+	2.43735i	0.274422	+	0.176360i	0.670612	−	0.741808i	$-0.266032\pi$
$191$	3.79258	+	2.43735i	0.274422	+	0.176360i	−0.396190	+	0.918168i	$0.629668\pi$
$192$	−1.64389	−	10.5505i	−0.118637	−	0.761417i
$193$	−15.8053	+	18.2403i	−1.13769	+	1.31297i	−0.194432	+	0.980916i	$0.562286\pi$
$193$	−15.8053	+	18.2403i	−1.13769	+	1.31297i	−0.943261	+	0.332052i	$0.892259\pi$
$194$	−0.821953	+	6.99085i	−0.0590128	+	0.501914i
$195$	−1.14715	−	7.97864i	−0.0821495	−	0.571362i
$196$	−11.2043	+	3.92713i	−0.800307	+	0.280509i
$197$	19.1764	−	12.3239i	1.36626	−	0.878042i	0.367610	−	0.929980i	$-0.380176\pi$
$197$	19.1764	−	12.3239i	1.36626	−	0.878042i	0.998650	+	0.0519382i	$0.0165399\pi$
$198$	−4.01875	+	0.683893i	−0.285600	+	0.0486022i
$199$	3.17165	−	6.94495i	0.224832	−	0.492314i	−0.763276	−	0.646072i	$-0.776410\pi$
$199$	3.17165	−	6.94495i	0.224832	−	0.492314i	0.988109	+	0.153758i	$0.0491377\pi$
$200$	−0.0515402	+	0.0285380i	−0.00364444	+	0.00201794i
$201$	3.80069	+	12.9440i	0.268080	+	0.912997i
$202$	−0.0978663	−	3.79811i	−0.00688585	−	0.267234i
$203$	5.37205	+	1.57738i	0.377044	+	0.110710i
$204$	−10.6857	+	7.67259i	−0.748147	+	0.537188i
$205$	−3.84305	−	0.552548i	−0.268411	−	0.0385916i
$206$	−3.38445	−	2.78329i	−0.235806	−	0.193921i
$207$	4.98853	+	3.04372i	0.346726	+	0.211553i
$208$	9.97684	−	4.08523i	0.691769	−	0.283260i
$209$	1.04187	−	7.24640i	0.0720680	−	0.501244i
$210$	−1.12075	+	4.21575i	−0.0773390	+	0.290914i
$211$	−3.54410	+	12.0701i	−0.243986	+	0.830939i	0.742884	+	0.669420i	$0.233457\pi$
$211$	−3.54410	+	12.0701i	−0.243986	+	0.830939i	−0.986870	+	0.161519i	$0.948361\pi$
$212$	−2.67781	−	2.08891i	−0.183913	−	0.143467i
$213$	−9.77053	+	2.86889i	−0.669466	+	0.196573i
$214$	6.02259	+	18.7137i	0.411696	+	1.27924i
$215$	−20.2772	−	9.26027i	−1.38289	−	0.631545i
$216$	−14.8885	+	5.65313i	−1.01303	+	0.384647i
$217$	3.96044	+	6.16257i	0.268852	+	0.418342i
$218$	6.74525	+	4.09332i	0.456846	+	0.277235i
$219$	7.29020	−	1.04817i	0.492626	−	0.0708289i
$220$	7.64384	−	7.34585i	0.515348	−	0.495257i
$221$	−10.0378	−	8.69778i	−0.675213	−	0.585076i
$222$	17.6225	−	8.60324i	1.18274	−	0.577412i
$223$	−0.201873	+	0.314121i	−0.0135184	+	0.0210351i	−0.847947	−	0.530081i	$-0.822162\pi$
$223$	−0.201873	+	0.314121i	−0.0135184	+	0.0210351i	0.834429	+	0.551116i	$0.185798\pi$
$224$	−5.83367	−	0.0816342i	−0.389778	−	0.00545442i
$225$	0.0166207	+	0.0191813i	0.00110804	+	0.00127875i
$226$	−6.61453	+	4.49579i	−0.439992	+	0.299055i
$227$	−6.43332	−	14.0870i	−0.426994	−	0.934987i	−0.993805	−	0.111139i	$-0.964550\pi$
$227$	−6.43332	−	14.0870i	−0.426994	−	0.934987i	0.566810	−	0.823848i	$-0.308177\pi$
$228$	−0.425450	−	8.25020i	−0.0281761	−	0.546383i
$229$			15.0875i			0.997007i	0.866888	+	0.498504i	$0.166117\pi$
$229$			15.0875i			0.997007i	−0.866888	+	0.498504i	$0.833883\pi$
$230$	−15.1790	+	0.746112i	−1.00087	+	0.0491971i
$231$		−	3.25647i		−	0.214260i
$232$	−12.3458	−	9.12909i	−0.810542	−	0.599354i
$233$	6.89062	+	15.0883i	0.451419	+	0.988470i	0.989360	+	0.145488i	$0.0464751\pi$
$233$	6.89062	+	15.0883i	0.451419	+	0.988470i	−0.537941	+	0.842983i	$0.680798\pi$
$234$	−2.61080	−	3.84120i	−0.170673	−	0.251107i
$235$	19.4753	+	22.4757i	1.27043	+	1.46616i
$236$	5.83953	−	3.03954i	0.380121	−	0.197857i
$237$	6.33955	−	9.86454i	0.411798	−	0.640771i
$238$	3.15331	+	6.45909i	0.204399	+	0.418681i
$239$	1.57685	+	1.36635i	0.101998	+	0.0883816i	0.704367	−	0.709836i	$-0.251231\pi$
$239$	1.57685	+	1.36635i	0.101998	+	0.0883816i	−0.602369	+	0.798218i	$0.705776\pi$
$240$	6.86254	−	9.79890i	0.442975	−	0.632516i
$241$	19.4173	−	2.79178i	1.25078	−	0.179835i	0.515078	−	0.857143i	$-0.327763\pi$
$241$	19.4173	−	2.79178i	1.25078	−	0.179835i	0.735699	+	0.677309i	$0.236854\pi$
$242$	3.96469	−	6.53329i	0.254860	−	0.419976i
$243$	6.34713	+	9.87632i	0.407168	+	0.633566i
$244$	1.93996	−	3.39076i	0.124193	−	0.217071i
$245$	−12.0996	−	5.52568i	−0.773012	−	0.353023i
$246$	3.11342	−	1.00199i	0.198505	−	0.0638844i
$247$	8.00302	−	2.34990i	0.509220	−	0.149520i
$248$	−4.38578	−	19.6050i	−0.278497	−	1.24492i
$249$	1.50717	−	5.13295i	0.0955131	−	0.325288i
$250$	15.2486	+	4.05382i	0.964408	+	0.256386i
$251$	−3.97053	+	27.6157i	−0.250618	+	1.74308i	0.343903	+	0.939005i	$0.388251\pi$
$251$	−3.97053	+	27.6157i	−0.250618	+	1.74308i	−0.594521	+	0.804080i	$0.702658\pi$
$252$	0.485349	+	2.46613i	0.0305741	+	0.155352i
$253$	10.8080	−	3.44961i	0.679491	−	0.216875i
$254$	14.8020	−	17.9990i	0.928759	−	1.12936i
$255$	−14.5882	−	2.09747i	−0.913551	−	0.131349i
$256$	14.9454	+	5.71280i	0.934085	+	0.357050i
$257$	5.87882	+	1.72618i	0.366711	+	0.107676i	0.459896	−	0.887973i	$-0.347887\pi$
$257$	5.87882	+	1.72618i	0.366711	+	0.107676i	−0.0931853	+	0.995649i	$0.529705\pi$
$258$	18.7723	−	0.483706i	1.16871	−	0.0301142i
$259$	−3.01874	−	10.2809i	−0.187576	−	0.638824i
$260$	11.2307	+	4.44507i	0.696501	+	0.275672i
$261$	−2.74790	+	6.01706i	−0.170091	+	0.372447i
$262$	−1.65988	−	9.75388i	−0.102547	−	0.602597i
$263$	0.802429	−	0.515690i	0.0494799	−	0.0317988i	−0.515667	−	0.856789i	$-0.672456\pi$
$263$	0.802429	−	0.515690i	0.0494799	−	0.0317988i	0.565147	+	0.824990i	$0.308819\pi$
$264$	−3.07165	+	8.38578i	−0.189047	+	0.516109i
$265$	−0.541504	−	3.76624i	−0.0332643	−	0.231359i
$266$	−4.48293	−	0.527084i	−0.274866	−	0.0323176i
$267$	−12.0273	+	13.8803i	−0.736061	+	0.849460i
$268$	−19.6633	−	4.68866i	−1.20113	−	0.286405i
$269$	1.76044	+	1.13136i	0.107336	+	0.0689805i	0.593207	−	0.805050i	$-0.297861\pi$
$269$	1.76044	+	1.13136i	0.107336	+	0.0689805i	−0.485872	+	0.874030i	$0.661498\pi$
$270$	−16.4156	−	6.99148i	−0.999019	−	0.425488i
$271$	−4.68672	+	4.06106i	−0.284698	+	0.246692i	−0.785488	−	0.618876i	$-0.787588\pi$
$271$	−4.68672	+	4.06106i	−0.284698	+	0.246692i	0.500791	+	0.865569i	$0.333043\pi$
$272$	−2.02762	−	19.6073i	−0.122943	−	1.18886i
$273$	3.37488	−	1.54126i	0.204257	−	0.0932812i
$274$	−17.5179	−	19.1946i	−1.05830	−	1.15959i
$275$	0.0492738			0.00297132
$276$	11.2149	−	6.17448i	0.675055	−	0.371660i
$277$	−2.76065			−0.165871			−0.0829357	−	0.996555i	$-0.526430\pi$
$277$	−2.76065			−0.165871			−0.0829357	+	0.996555i	$0.526430\pi$
$278$	9.59955	+	10.5183i	0.575743	+	0.630848i
$279$	−7.87264	+	3.59531i	−0.471323	+	0.215246i
$280$	−4.64908	−	4.59469i	−0.277836	−	0.274585i
$281$	2.50119	−	2.16729i	0.149209	−	0.129290i	−0.577058	−	0.816703i	$-0.695799\pi$
$281$	2.50119	−	2.16729i	0.149209	−	0.129290i	0.726266	+	0.687413i	$0.241254\pi$
$282$	−23.0493	−	9.81682i	−1.37256	−	0.584583i
$283$	−17.2193	−	11.0662i	−1.02358	−	0.657816i	−0.0827083	−	0.996574i	$-0.526357\pi$
$283$	−17.2193	−	11.0662i	−1.02358	−	0.657816i	−0.940874	+	0.338758i	$0.889993\pi$
$284$	3.53915	−	14.8425i	0.210010	−	0.880739i
$285$	6.06105	−	6.99483i	0.359026	−	0.414338i
$286$	−8.95513	−	1.05290i	−0.529528	−	0.0622596i
$287$	−0.254326	−	1.76888i	−0.0150124	−	0.104414i
$288$	1.07634	−	6.80838i	0.0634237	−	0.401188i
$289$	−6.12832	+	3.93843i	−0.360489	+	0.231673i
$290$	−2.88596	−	16.9587i	−0.169470	−	0.995850i
$291$	2.75975	−	6.04301i	0.161780	−	0.354248i
$292$	−4.06153	+	10.2617i	−0.237683	+	0.600520i
$293$	1.17176	+	3.99065i	0.0684551	+	0.233137i	0.986613	−	0.163077i	$-0.0521420\pi$
$293$	1.17176	+	3.99065i	0.0684551	+	0.233137i	−0.918158	+	0.396214i	$0.870324\pi$
$294$	11.2016	−	0.288632i	0.653288	−	0.0168333i
$295$	7.07683	+	2.07795i	0.412029	+	0.120983i
$296$	−1.92379	+	29.3219i	−0.111818	+	1.70430i
$297$	13.1842	+	1.89560i	0.765024	+	0.109994i
$298$	−7.76037	+	9.43652i	−0.449546	+	0.546643i
$299$	8.69038	+	9.56832i	0.502578	+	0.553350i
$300$	0.0545557	−	0.0107369i	0.00314978	−	0.000619894i
$301$	1.46020	−	10.1559i	0.0841647	−	0.585378i
$302$	1.01357	+	0.269457i	0.0583246	+	0.0155055i
$303$	−1.01024	+	3.44057i	−0.0580369	+	0.197656i
$304$	11.0469	+	5.58581i	0.633584	+	0.320368i
$305$	4.19939	−	1.23305i	0.240457	−	0.0706044i
$306$	−8.08370	+	2.60157i	−0.462114	+	0.148722i
$307$	20.7372	+	9.47034i	1.18353	+	0.540501i	0.907257	−	0.420578i	$-0.138173\pi$
$307$	20.7372	+	9.47034i	1.18353	+	0.540501i	0.276275	+	0.961079i	$0.410900\pi$
$308$	4.23540	+	2.42321i	0.241334	+	0.138075i
$309$	2.23589	+	3.47911i	0.127195	+	0.197920i
$310$	11.6767	−	19.2417i	0.663194	−	1.09286i
$311$	−21.1311	+	3.03819i	−1.19823	+	0.172280i	−0.712401	−	0.701773i	$-0.752392\pi$
$311$	−21.1311	+	3.03819i	−1.19823	+	0.172280i	−0.485832	+	0.874052i	$0.661483\pi$
$312$	−10.1445	+	0.785574i	−0.574319	+	0.0444744i
$313$	−6.73190	−	5.83323i	−0.380510	−	0.329713i	0.443516	−	0.896267i	$-0.353731\pi$
$313$	−6.73190	−	5.83323i	−0.380510	−	0.329713i	−0.824025	+	0.566553i	$0.808277\pi$
$314$	6.91100	+	14.1562i	0.390011	+	0.798880i
$315$	−1.52242	+	2.36893i	−0.0857787	+	0.133474i
$316$	8.11255	+	15.5857i	0.456366	+	0.876766i
$317$	4.08509	+	4.71445i	0.229442	+	0.264790i	0.858783	−	0.512339i	$-0.171221\pi$
$317$	4.08509	+	4.71445i	0.229442	+	0.264790i	−0.629342	+	0.777129i	$0.716675\pi$
$318$	1.80181	+	2.65095i	0.101040	+	0.148658i
$319$	5.33479	+	11.6816i	0.298691	+	0.654042i
$320$	7.63801	+	16.2171i	0.426978	+	0.906563i
$321$		−	18.5539i		−	1.03558i
$322$	−2.29785	−	6.60681i	−0.128054	−	0.368183i
$323$		−	15.2506i		−	0.848565i
$324$	7.70916	−	0.397549i	0.428287	−	0.0220861i
$325$	0.0233209	+	0.0510656i	0.00129361	+	0.00283261i
$326$	−14.9063	+	10.1316i	−0.825585	+	0.561136i
$327$	−4.87650	−	5.62778i	−0.269671	−	0.311217i
$328$	−1.01357	+	4.79496i	−0.0559648	+	0.264757i
$329$	−7.40059	+	11.5155i	−0.408008	+	0.634872i
$330$	−8.99127	+	4.38951i	−0.494953	+	0.241634i
$331$	−3.06007	−	2.65157i	−0.168197	−	0.145743i	0.566695	−	0.823927i	$-0.308222\pi$
$331$	−3.06007	−	2.65157i	−0.168197	−	0.145743i	−0.734892	+	0.678184i	$0.762767\pi$
$332$	5.55447	+	5.77979i	0.304841	+	0.317207i
$333$	12.5304	−	1.80160i	0.686663	−	0.0987273i
$334$	−17.8441	−	10.8286i	−0.976386	−	0.592515i
$335$	−12.2442	−	19.0524i	−0.668972	−	1.04094i
$336$	5.21744	+	1.76006i	0.284635	+	0.0960190i
$337$	4.39906	+	2.00899i	0.239632	+	0.109436i	0.531612	−	0.846988i	$-0.321587\pi$
$337$	4.39906	+	2.00899i	0.239632	+	0.109436i	−0.291979	+	0.956425i	$0.594314\pi$
$338$	2.48506	+	7.72169i	0.135169	+	0.420004i
$339$	7.24247	−	2.12658i	0.393357	−	0.115500i
$340$	13.5834	−	17.4129i	0.736665	−	0.944346i
$341$	−4.73378	+	16.1218i	−0.256349	+	0.873044i
$342$	1.37015	−	5.15389i	0.0740893	−	0.278690i
$343$	1.89876	−	13.2061i	0.102523	−	0.713065i
$344$	−13.3397	+	24.7754i	−0.719230	+	1.33580i
$345$	13.8527	+	3.71846i	0.745805	+	0.200195i
$346$	9.88095	+	8.12586i	0.531203	+	0.436849i
$347$	16.1009	+	2.31496i	0.864341	+	0.124273i	0.560204	−	0.828355i	$-0.310723\pi$
$347$	16.1009	+	2.31496i	0.864341	+	0.124273i	0.304137	+	0.952628i	$0.401632\pi$
$348$	8.45209	+	11.7713i	0.453080	+	0.631008i
$349$	−21.1163	−	6.20030i	−1.13033	−	0.331894i	−0.337492	−	0.941329i	$-0.609578\pi$
$349$	−21.1163	−	6.20030i	−1.13033	−	0.331894i	−0.792837	+	0.609434i	$0.791397\pi$
$350$	−0.000782556	−	0.0303704i	−4.18294e−5	−	0.00162337i
$351$	4.27543	+	14.5608i	0.228206	+	0.777198i
$352$	−8.62097	−	10.2351i	−0.459499	−	0.545531i
$353$	−14.6401	+	32.0572i	−0.779211	+	1.70623i	−0.0739777	+	0.997260i	$0.523569\pi$
$353$	−14.6401	+	32.0572i	−0.779211	+	1.70623i	−0.705234	+	0.708975i	$0.749158\pi$
$354$	−6.12515	+	1.04235i	−0.325548	+	0.0554004i
$355$	14.3813	−	9.24232i	0.763282	−	0.490532i
$356$	−9.10308	−	25.9715i	−0.482462	−	1.37649i
$357$	−0.965423	−	6.71467i	−0.0510956	−	0.355378i
$358$	2.33051	−	19.8214i	0.123171	−	1.04759i
$359$	4.08545	−	4.71486i	0.215622	−	0.248841i	−0.637626	−	0.770346i	$-0.720084\pi$
$359$	4.08545	−	4.71486i	0.215622	−	0.248841i	0.853248	+	0.521505i	$0.174629\pi$
$360$	6.15489	−	4.66426i	0.324391	−	0.245828i
$361$	−7.92695	−	5.09434i	−0.417208	−	0.268123i
$362$	7.04757	−	16.5473i	0.370412	−	0.869704i
$363$	−5.45093	+	4.72326i	−0.286100	+	0.247907i
$364$	−0.506745	+	5.53630i	−0.0265606	+	0.290181i
$365$	−11.2472	+	5.13642i	−0.588705	+	0.268853i
$366$	−2.72327	+	2.48539i	−0.142348	+	0.129913i
$367$	−17.6593			−0.921807			−0.460904	−	0.887450i	$-0.652475\pi$
$367$	−17.6593			−0.921807			−0.460904	+	0.887450i	$0.652475\pi$
$368$	−0.314607	+	19.1807i	−0.0164000	+	0.999866i
$369$	2.11135			0.109913
$370$	−24.3170	+	22.1929i	−1.26418	+	1.15375i
$371$	1.59308	−	0.727537i	0.0827088	−	0.0377718i
$372$	−1.72824	+	18.8815i	−0.0896053	+	0.978958i
$373$	12.2215	−	10.5900i	0.632803	−	0.548327i	−0.278306	−	0.960493i	$-0.589773\pi$
$373$	12.2215	−	10.5900i	0.632803	−	0.548327i	0.911109	+	0.412165i	$0.135227\pi$
$374$	−6.46016	+	15.1681i	−0.334047	+	0.784321i
$375$	−12.5275	−	8.05092i	−0.646916	−	0.415748i
$376$	29.9194	−	22.6733i	1.54297	−	1.16929i
$377$	−9.58144	+	11.0576i	−0.493469	+	0.569494i
$378$	0.958983	−	8.15631i	0.0493248	−	0.419515i
$379$	0.887902	+	6.17549i	0.0456084	+	0.317214i	0.999836	+	0.0181309i	$0.00577157\pi$
$379$	0.887902	+	6.17549i	0.0456084	+	0.317214i	−0.954227	+	0.299083i	$0.903319\pi$
$380$	4.58740	+	13.0881i	0.235329	+	0.671405i
$381$	−18.5025	+	11.8908i	−0.947909	+	0.609184i
$382$	6.28527	−	1.06960i	0.321582	−	0.0547256i
$383$	9.59567	−	21.0116i	0.490316	−	1.07364i	−0.489181	−	0.872182i	$-0.662704\pi$
$383$	9.59567	−	21.0116i	0.490316	−	1.07364i	0.979497	−	0.201459i	$-0.0645684\pi$
$384$	−11.7753	−	9.45368i	−0.600908	−	0.482431i
$385$	1.54021	+	5.24547i	0.0784963	+	0.267334i
$386$	0.879207	+	34.1213i	0.0447504	+	1.73673i
$387$	11.6312	+	3.41523i	0.591247	+	0.173606i
$388$	5.80603	+	8.08611i	0.294757	+	0.410510i
$389$	−17.2067	−	2.47395i	−0.872413	−	0.125434i	−0.308456	−	0.951239i	$-0.599812\pi$
$389$	−17.2067	−	2.47395i	−0.872413	−	0.125434i	−0.563956	+	0.825804i	$0.690721\pi$
$390$	−8.80462	−	7.24071i	−0.445839	−	0.366648i
$391$	21.2628	−	10.3171i	1.07531	−	0.521758i
$392$	−7.95993	+	14.7837i	−0.402037	+	0.746688i
$393$	−1.32893	+	9.24295i	−0.0670359	+	0.466245i
$394$	8.28246	−	31.1549i	0.417264	−	1.56956i
$395$	−5.54604	+	18.8881i	−0.279052	+	0.950362i
$396$	−3.54593	+	4.54560i	−0.178190	+	0.228425i
$397$	8.68495	−	2.55013i	0.435885	−	0.127987i	−0.0564259	−	0.998407i	$-0.517970\pi$
$397$	8.68495	−	2.55013i	0.435885	−	0.127987i	0.492311	+	0.870419i	$0.336152\pi$
$398$	−3.30782	−	10.2782i	−0.165806	−	0.515200i
$399$	3.87513	+	1.76971i	0.193999	+	0.0885964i
$400$	−0.0266316	+	0.0789454i	−0.00133158	+	0.00394727i
$401$	−20.3966	−	31.7377i	−1.01856	−	1.58491i	−0.791637	−	0.610992i	$-0.790771\pi$
$401$	−20.3966	−	31.7377i	−1.01856	−	1.58491i	−0.226920	−	0.973913i	$-0.572866\pi$
$402$	16.3101	+	9.89769i	0.813473	+	0.493652i
$403$	−18.9485	+	2.72438i	−0.943892	+	0.135711i
$404$	−3.72311	−	3.87414i	−0.185232	−	0.192746i
$405$	6.53611	+	5.66358i	0.324782	+	0.281425i
$406$	7.11532	−	3.47367i	0.353127	−	0.172396i
$407$	13.2872	−	20.6753i	0.658624	−	1.02484i
$408$	−3.84750	+	18.2017i	−0.190480	+	0.901117i
$409$	−10.2497	−	11.8288i	−0.506815	−	0.584895i	0.443466	−	0.896291i	$-0.353749\pi$
$409$	−10.2497	−	11.8288i	−0.506815	−	0.584895i	−0.950280	+	0.311396i	$0.899203\pi$
$410$	−4.54115	+	3.08654i	−0.224271	+	0.152433i
$411$	10.1885	+	22.3097i	0.502562	+	1.10046i
$412$	−6.18875	+	0.319144i	−0.304898	+	0.0157231i
$413$			3.39483i			0.167049i
$414$	8.11261	−	1.57633i	0.398713	−	0.0774722i
$415$			8.98093i			0.440857i
$416$	6.52702	−	13.7786i	0.320013	−	0.675553i
$417$	−5.58314	−	12.2254i	−0.273408	−	0.598679i
$418$	−5.81993	−	8.56271i	−0.284662	−	0.418816i
$419$	−14.3249	−	16.5318i	−0.699815	−	0.807630i	0.288912	−	0.957356i	$-0.406706\pi$
$419$	−14.3249	−	16.5318i	−0.699815	−	0.807630i	−0.988728	+	0.149726i	$0.952161\pi$
$420$	2.84831	+	5.47214i	0.138983	+	0.267013i
$421$	1.49416	−	2.32496i	0.0728209	−	0.113312i	−0.802933	−	0.596069i	$-0.796728\pi$
$421$	1.49416	−	2.32496i	0.0728209	−	0.113312i	0.875754	+	0.482758i	$0.160365\pi$
$422$	7.80475	+	15.9869i	0.379929	+	0.778230i
$423$	−12.2224	−	10.5907i	−0.594272	−	0.514939i
$424$	−4.78862	+	0.370823i	−0.232556	+	0.0180088i
$425$	0.101600	−	0.0146079i	0.00492833	−	0.000708587i
$426$	−7.47110	+	12.3114i	−0.361976	+	0.596489i
$427$	1.08912	+	1.69470i	0.0527061	+	0.0820123i
$428$	24.1315	+	13.8064i	1.16644	+	0.667357i
$429$	7.74097	+	3.53518i	0.373738	+	0.170680i
$430$	−30.0093	+	9.65785i	−1.44718	+	0.465743i
$431$	15.9419	−	4.68097i	0.767895	−	0.225474i	0.125755	−	0.992061i	$-0.459865\pi$
$431$	15.9419	−	4.68097i	0.767895	−	0.225474i	0.642140	+	0.766587i	$0.278047\pi$
$432$	−10.1629	+	20.0989i	−0.488962	+	0.967008i
$433$	10.3714	−	35.3217i	0.498417	−	1.69745i	−0.198330	−	0.980135i	$-0.563552\pi$
$433$	10.3714	−	35.3217i	0.498417	−	1.69745i	0.696747	−	0.717317i	$-0.254630\pi$
$434$	10.0120	+	2.66167i	0.480591	+	0.127764i
$435$	−2.31057	+	16.0704i	−0.110783	+	0.770515i
$436$	10.9483	−	2.15469i	0.524327	−	0.103191i
$437$	−1.76857	+	14.7359i	−0.0846023	+	0.704916i
$438$	6.61594	−	8.04491i	0.316122	−	0.384401i
$439$	−11.5362	−	1.65866i	−0.550593	−	0.0791633i	−0.138597	−	0.990349i	$-0.544259\pi$
$439$	−11.5362	−	1.65866i	−0.550593	−	0.0791633i	−0.411996	+	0.911186i	$0.635168\pi$
$440$	0.981548	−	14.9605i	0.0467935	−	0.713213i
$441$	6.94044	+	2.03790i	0.330497	+	0.0970427i
$442$	−18.7772	+	0.483833i	−0.893139	+	0.0230136i
$443$	−3.51945	−	11.9861i	−0.167214	−	0.569479i	−0.999877	−	0.0156982i	$-0.995003\pi$
$443$	−3.51945	−	11.9861i	−0.167214	−	0.569479i	0.832663	−	0.553780i	$-0.186815\pi$
$444$	10.2064	−	25.7870i	0.484372	−	1.22379i
$445$	12.8085	−	28.0467i	0.607182	−	1.32954i
$446$	0.0885898	+	0.520578i	0.00419485	+	0.0246501i
$447$	9.70044	−	6.23410i	0.458815	−	0.294863i
$448$	−6.17156	+	5.47617i	−0.291579	+	0.258725i
$449$	−3.26551	−	22.7121i	−0.154109	−	1.07185i	−0.909239	−	0.416275i	$-0.863335\pi$
$449$	−3.26551	−	22.7121i	−0.154109	−	1.07185i	0.755130	−	0.655575i	$-0.227574\pi$
$450$	0.0356478	+	0.00419132i	0.00168046	+	0.000197581i
$451$	2.68427	−	3.09782i	0.126397	−	0.145870i
$452$	−2.62342	+	11.0021i	−0.123395	+	0.517495i
$453$	−0.832699	−	0.535143i	−0.0391236	−	0.0251432i
$454$	−20.1498	−	8.58191i	−0.945676	−	0.402769i
$455$	−4.70725	+	4.07885i	−0.220679	+	0.191220i
$456$	−8.30963	−	8.21241i	−0.389134	−	0.384581i
$457$	−11.2680	+	5.14594i	−0.527097	+	0.240717i	−0.661145	−	0.750258i	$-0.729929\pi$
$457$	−11.2680	+	5.14594i	−0.527097	+	0.240717i	0.134049	+	0.990975i	$0.457202\pi$
$458$	14.3834	+	15.7601i	0.672093	+	0.736420i
$459$	27.7471			1.29512
$460$	−15.1444	+	15.2500i	−0.706111	+	0.711037i
$461$	12.6533			0.589322			0.294661	−	0.955602i	$-0.404793\pi$
$461$	12.6533			0.589322			0.294661	+	0.955602i	$0.404793\pi$
$462$	−3.10451	−	3.40164i	−0.144435	−	0.158259i
$463$	20.8118	−	9.50445i	0.967208	−	0.441709i	0.131762	−	0.991281i	$-0.457937\pi$
$463$	20.8118	−	9.50445i	0.967208	−	0.441709i	0.835446	+	0.549572i	$0.185209\pi$
$464$	−21.5993	+	2.23362i	−1.00272	+	0.103693i
$465$	−16.0540	+	13.9109i	−0.744486	+	0.645101i
$466$	21.5821	+	9.19193i	0.999770	+	0.425808i
$467$	−5.26273	−	3.38215i	−0.243530	−	0.156507i	0.413182	−	0.910648i	$-0.364417\pi$
$467$	−5.26273	−	3.38215i	−0.243530	−	0.156507i	−0.656713	+	0.754141i	$0.728054\pi$
$468$	−6.38915	−	1.52348i	−0.295339	−	0.0704228i
$469$	6.82640	−	7.87809i	0.315214	−	0.363776i
$470$	41.7705	+	4.91119i	1.92673	+	0.226536i
$471$	−2.11589	−	14.7163i	−0.0974949	−	0.678092i
$472$	3.20216	−	8.74209i	0.147391	−	0.402387i
$473$	19.7982	−	12.7236i	0.910324	−	0.585030i
$474$	−2.78204	−	16.3480i	−0.127783	−	0.750890i
$475$	−0.0267776	+	0.0586348i	−0.00122864	+	0.00269035i
$476$	9.45157	+	3.74089i	0.433212	+	0.171463i
$477$	0.582948	+	1.98534i	0.0266914	+	0.0909024i
$478$	2.94973	−	0.0760060i	0.134918	−	0.00347643i
$479$	−30.1200	−	8.84404i	−1.37622	−	0.404094i	−0.491767	−	0.870727i	$-0.663649\pi$
$479$	−30.1200	−	8.84404i	−1.37622	−	0.404094i	−0.884451	+	0.466632i	$0.845467\pi$
$480$	−2.17316	−	16.7781i	−0.0991908	−	0.765810i
$481$	27.7159	+	3.98495i	1.26374	+	0.181698i
$482$	17.6214	−	21.4274i	0.802634	−	0.975993i
$483$	0.154161	+	6.60003i	0.00701457	+	0.300312i
$484$	−2.08698	−	10.6042i	−0.0948625	−	0.482011i
$485$	−1.58721	+	11.0393i	−0.0720714	+	0.501268i
$486$	16.0455	+	4.26568i	0.727841	+	0.193495i
$487$	1.12202	−	3.82125i	0.0508436	−	0.173157i	−0.930157	−	0.367162i	$-0.880329\pi$
$487$	1.12202	−	3.82125i	0.0508436	−	0.173157i	0.981001	+	0.194005i	$0.0621477\pi$
$488$	−1.20609	−	5.39136i	−0.0545970	−	0.244055i
$489$	16.3214	−	4.79240i	0.738080	−	0.216720i
$490$	−17.9068	+	5.76292i	−0.808947	+	0.260342i
$491$	12.9043	+	5.89317i	0.582361	+	0.265955i	0.684737	−	0.728791i	$-0.259917\pi$
$491$	12.9043	+	5.89317i	0.582361	+	0.265955i	−0.102376	+	0.994746i	$0.532644\pi$
$492$	2.29699	−	4.01480i	0.103556	−	0.181001i
$493$	14.4632	+	22.5052i	0.651391	+	1.01358i
$494$	6.11956	−	10.0842i	0.275332	−	0.453711i
$495$	−6.39321	+	0.919206i	−0.287354	+	0.0413152i
$496$	−23.2715	−	16.2979i	−1.04492	−	0.731797i
$497$	5.94664	+	5.15279i	0.266743	+	0.231134i
$498$	−3.31907	−	6.79863i	−0.148731	−	0.304654i
$499$	−18.3907	+	28.6164i	−0.823279	+	1.28105i	0.133739	+	0.991017i	$0.457302\pi$
$499$	−18.3907	+	28.6164i	−0.823279	+	1.28105i	−0.957018	+	0.290030i	$0.906335\pi$
$500$	19.7931	−	10.3025i	0.885174	−	0.460743i
$501$	12.9005	+	14.8879i	0.576350	+	0.665143i
$502$	22.1795	+	32.6321i	0.989918	+	1.45644i
$503$	10.7197	+	23.4728i	0.477967	+	1.04660i	0.983017	+	0.183512i	$0.0587467\pi$
$503$	10.7197	+	23.4728i	0.477967	+	1.04660i	−0.505050	+	0.863090i	$0.668526\pi$
$504$	2.85804	+	2.11337i	0.127307	+	0.0941372i
$505$		−	6.01984i		−	0.267879i
$506$	8.00116	−	13.9070i	0.355695	−	0.618243i
$507$		−	7.65578i		−	0.340005i
$508$	−1.69726	−	32.9127i	−0.0753036	−	1.46027i
$509$	−6.14439	−	13.4543i	−0.272345	−	0.596353i	0.723200	−	0.690639i	$-0.242670\pi$
$509$	−6.14439	−	13.4543i	−0.272345	−	0.596353i	−0.995545	+	0.0942859i	$0.969943\pi$
$510$	−17.2382	+	11.7165i	−0.763321	+	0.518816i
$511$	−3.72691	−	4.30108i	−0.164869	−	0.190269i
$512$	21.0579	−	8.28048i	0.930635	−	0.365949i
$513$	−9.42062	+	14.6588i	−0.415930	+	0.647200i
$514$	7.78653	−	3.80136i	0.343449	−	0.167671i
$515$	−5.24705	−	4.54659i	−0.231213	−	0.200347i
$516$	19.1480	−	18.4015i	0.842944	−	0.810083i
$517$	−31.0778	+	4.46832i	−1.36680	+	0.196516i
$518$	−12.9545	−	7.86135i	−0.569187	−	0.345408i
$519$	−6.52770	−	10.1573i	−0.286534	−	0.445856i
$520$	15.9691	−	6.06343i	0.700290	−	0.265899i
$521$	4.67062	+	2.13300i	0.204623	+	0.0934484i	0.515091	−	0.857136i	$-0.327758\pi$
$521$	4.67062	+	2.13300i	0.204623	+	0.0934484i	−0.310467	+	0.950584i	$0.600486\pi$
$522$	2.86588	+	8.90498i	0.125436	+	0.389760i
$523$	−29.4075	+	8.63482i	−1.28590	+	0.377574i	−0.852074	−	0.523422i	$-0.824655\pi$
$523$	−29.4075	+	8.63482i	−1.28590	+	0.377574i	−0.433827	+	0.900996i	$0.642837\pi$
$524$	−11.0326	−	8.60631i	−0.481962	−	0.375968i
$525$	−0.00807808	+	0.0275114i	−0.000352556	+	0.00120070i
$526$	0.346577	−	1.30366i	0.0151115	−	0.0568425i
$527$	−4.98130	+	34.6457i	−0.216989	+	1.50919i
$528$	4.78588	+	11.6879i	0.208279	+	0.508652i
$529$	−21.7417	+	7.50315i	−0.945293	+	0.326224i
$530$	−4.15614	−	3.41791i	−0.180531	−	0.148465i
$531$	−3.97004	−	0.570806i	−0.172285	−	0.0247709i
$532$	−5.18528	+	3.72316i	−0.224810	+	0.161420i
$533$	4.48091	+	1.31571i	0.194090	+	0.0569899i
$534$	0.669047	+	25.9652i	0.0289525	+	1.12362i
$535$	8.77545	+	29.8864i	0.379396	+	1.29210i
$536$	−25.0098	+	13.8480i	−1.08026	+	0.598144i
$537$	−7.82481	+	17.1339i	−0.337665	+	0.739384i
$538$	2.91749	−	0.496486i	0.125782	−	0.0214050i
$539$	11.8138	−	7.59225i	0.508855	−	0.327021i
$540$	−23.8126	+	8.34638i	−1.02473	+	0.359171i
$541$	3.87029	+	26.9184i	0.166397	+	1.15731i	0.886257	+	0.463195i	$0.153297\pi$
$541$	3.87029	+	26.9184i	0.166397	+	1.15731i	−0.719860	+	0.694119i	$0.755794\pi$
$542$	−1.02410	+	8.71013i	−0.0439888	+	0.374132i
$543$	−11.1160	+	12.8286i	−0.477034	+	0.550527i
$544$	−20.8103	−	18.5484i	−0.892235	−	0.795255i
$545$	10.5168	+	6.75871i	0.450489	+	0.289512i
$546$	2.05600	−	4.82737i	0.0879889	−	0.206592i
$547$	−4.32239	+	3.74537i	−0.184812	+	0.160141i	−0.742353	−	0.670009i	$-0.766290\pi$
$547$	−4.32239	+	3.74537i	−0.184812	+	0.160141i	0.557541	+	0.830149i	$0.311745\pi$
$548$	−36.5978	−	3.34984i	−1.56338	−	0.143098i
$549$	−2.16497	+	0.988708i	−0.0923986	+	0.0421970i
$550$	0.0514705	−	0.0469745i	0.00219471	−	0.00200300i
$551$	−16.8000			−0.715704
$552$	5.82847	−	17.1413i	0.248076	−	0.729581i
$553$	−9.06081			−0.385305
$554$	−2.88372	+	2.63183i	−0.122518	+	0.111816i
$555$	28.2635	−	12.9075i	1.19972	−	0.547892i
$556$	20.0550	+	1.83566i	0.850522	+	0.0778493i
$557$	−8.41521	+	7.29182i	−0.356564	+	0.308964i	−0.814661	−	0.579938i	$-0.803077\pi$
$557$	−8.41521	+	7.29182i	−0.356564	+	0.308964i	0.458097	+	0.888902i	$0.348531\pi$
$558$	−4.79607	+	11.2609i	−0.203034	+	0.476711i
$559$	22.5566	+	14.4962i	0.954042	+	0.613125i
$560$	−9.23663	−	0.367388i	−0.390319	−	0.0155250i
$561$	10.1895	−	11.7593i	0.430201	−	0.496479i
$562$	0.546537	−	4.64839i	0.0230543	−	0.196080i
$563$	2.04059	+	14.1926i	0.0860007	+	0.598148i	0.986558	+	0.163411i	$0.0522497\pi$
$563$	2.04059	+	14.1926i	0.0860007	+	0.598148i	−0.900557	+	0.434737i	$0.856841\pi$
$564$	−33.4356	+	11.7192i	−1.40789	+	0.493469i
$565$	−10.6603	+	6.85094i	−0.448481	+	0.288221i
$566$	−28.5368	+	4.85627i	−1.19949	+	0.204124i
$567$	−1.65366	+	3.62100i	−0.0694470	+	0.152068i
$568$	−10.4529	−	18.8782i	−0.438596	−	0.792111i
$569$	−0.430490	−	1.46611i	−0.0180471	−	0.0614627i	0.949977	−	0.312319i	$-0.101106\pi$
$569$	−0.430490	−	1.46611i	−0.0180471	−	0.0614627i	−0.968024	+	0.250857i	$0.919288\pi$
$570$	−0.337159	−	13.0849i	−0.0141221	−	0.548066i
$571$	−41.1875	−	12.0937i	−1.72364	−	0.506107i	−0.737978	−	0.674825i	$-0.764219\pi$
$571$	−41.1875	−	12.0937i	−1.72364	−	0.506107i	−0.985664	+	0.168718i	$0.946037\pi$
$572$	−10.3581	+	7.43740i	−0.433095	+	0.310973i
$573$	−5.95603	−	0.856348i	−0.248817	−	0.0357744i
$574$	−1.95200	−	1.60528i	−0.0814749	−	0.0670030i
$575$	−0.0998656	+	0.00233262i	−0.00416468	+	9.72770e-5i
$576$	−5.36635	−	8.13802i	−0.223598	−	0.339084i
$577$	3.00772	−	20.9192i	0.125213	−	0.870877i	−0.826291	−	0.563243i	$-0.809554\pi$
$577$	3.00772	−	20.9192i	0.125213	−	0.870877i	0.951505	−	0.307634i	$-0.0995373\pi$
$578$	−2.64688	+	9.95636i	−0.110096	+	0.414130i
$579$	9.07577	−	30.9092i	0.377176	−	1.28454i
$580$	−19.1820	−	14.9635i	−0.796488	−	0.621324i
$581$	−3.96629	+	1.16461i	−0.164549	+	0.0483161i
$582$	−2.87824	−	8.94339i	−0.119307	−	0.370715i
$583$	3.65406	+	1.66875i	0.151336	+	0.0691126i
$584$	5.54025	+	14.5912i	0.229257	+	0.603787i
$585$	−3.97849	−	6.19065i	−0.164490	−	0.255952i
$586$	5.02844	+	3.05148i	0.207723	+	0.126055i
$587$	−16.6171	+	2.38917i	−0.685859	+	0.0986117i	−0.476430	−	0.879212i	$-0.658070\pi$
$587$	−16.6171	+	2.38917i	−0.685859	+	0.0986117i	−0.209429	+	0.977824i	$0.567161\pi$
$588$	11.4258	−	10.9804i	0.471191	−	0.452822i
$589$	−16.6120	−	14.3944i	−0.684488	−	0.593112i
$590$	9.37331	−	4.57602i	0.385893	−	0.188392i
$591$	−16.4490	+	25.5952i	−0.676622	+	1.05284i
$592$	25.9441	+	32.4631i	1.06630	+	1.33423i
$593$	14.9061	+	17.2026i	0.612122	+	0.706426i	0.974191	−	0.225725i	$-0.0724751\pi$
$593$	14.9061	+	17.2026i	0.612122	+	0.706426i	−0.362069	+	0.932151i	$0.617930\pi$
$594$	15.5791	−	10.5889i	0.639218	−	0.434466i
$595$	4.73092	+	10.3593i	0.193949	+	0.424689i
$596$	0.889836	+	17.2555i	0.0364491	+	0.706811i
$597$			10.1905i			0.417069i
$598$	18.1996	+	1.71004i	0.744238	+	0.0699286i
$599$		−	1.08288i		−	0.0442454i	−0.999755	−	0.0221227i	$-0.992958\pi$
$599$		−	1.08288i		−	0.0442454i	0.999755	−	0.0221227i	$-0.00704245\pi$
$600$	0.0467520	−	0.0632255i	0.00190864	−	0.00258117i
$601$	14.1458	+	30.9751i	0.577021	+	1.26350i	0.942974	+	0.332866i	$0.108016\pi$
$601$	14.1458	+	30.9751i	0.577021	+	1.26350i	−0.365953	+	0.930633i	$0.619257\pi$
$602$	−8.15672	−	12.0008i	−0.332443	−	0.489115i
$603$	8.06514	+	9.30767i	0.328438	+	0.379038i
$604$	1.31564	−	0.684807i	0.0535328	−	0.0278644i
$605$	6.54633	−	10.1863i	0.266146	−	0.414131i
$606$	2.22474	+	4.55706i	0.0903739	+	0.185118i
$607$	18.7291	+	16.2288i	0.760189	+	0.658707i	0.946106	−	0.323858i	$-0.104980\pi$
$607$	18.7291	+	16.2288i	0.760189	+	0.658707i	−0.185917	+	0.982565i	$0.559526\pi$
$608$	16.8645	−	4.69658i	0.683948	−	0.190472i
$609$	−7.39685	+	1.06351i	−0.299736	+	0.0430955i
$610$	3.21109	−	5.29146i	0.130013	−	0.214245i
$611$	−19.3397	−	30.0931i	−0.782400	−	1.21744i
$612$	−5.96392	+	10.4240i	−0.241077	+	0.421366i
$613$	31.8779	+	14.5582i	1.28754	+	0.587998i	0.937255	−	0.348646i	$-0.113358\pi$
$613$	31.8779	+	14.5582i	1.28754	+	0.587998i	0.350282	+	0.936644i	$0.386086\pi$
$614$	30.6901	−	9.87694i	1.23855	−	0.398601i
$615$	4.97225	−	1.45998i	0.200501	−	0.0588723i
$616$	6.73435	−	1.50652i	0.271335	−	0.0606996i
$617$	−2.66887	+	9.08934i	−0.107445	+	0.365923i	−0.995610	−	0.0936015i	$-0.970162\pi$
$617$	−2.66887	+	9.08934i	−0.107445	+	0.365923i	0.888165	+	0.459525i	$0.151980\pi$
$618$	5.65233	+	1.50266i	0.227370	+	0.0604459i
$619$	6.11823	−	42.5533i	0.245913	−	1.71036i	−0.375455	−	0.926841i	$-0.622514\pi$
$619$	6.11823	−	42.5533i	0.245913	−	1.71036i	0.621368	−	0.783519i	$-0.286577\pi$
$620$	−6.14652	−	31.2314i	−0.246850	−	1.25428i
$621$	−26.8108	−	3.21776i	−1.07588	−	0.129124i
$622$	−19.1767	+	23.3186i	−0.768916	+	0.934992i
$623$	14.0474	+	2.01971i	0.562796	+	0.0809178i
$624$	−9.84784	+	10.4917i	−0.394229	+	0.420005i
$625$	24.0868	+	7.07253i	0.963473	+	0.282901i
$626$	−12.5930	+	0.324486i	−0.503319	+	0.0129691i
$627$	2.75292	+	9.37560i	0.109941	+	0.374425i
$628$	20.7147	+	8.19878i	0.826607	+	0.327167i
$629$	21.2681	−	46.5707i	0.848015	−	1.85689i
$630$	0.668097	+	3.92592i	0.0266176	+	0.156412i
$631$	22.6083	−	14.5295i	0.900021	−	0.578408i	−0.00677545	−	0.999977i	$-0.502157\pi$
$631$	22.6083	−	14.5295i	0.900021	−	0.578408i	0.906796	+	0.421569i	$0.138520\pi$
$632$	23.3327	+	8.54657i	0.928123	+	0.339964i
$633$	−2.38952	−	16.6195i	−0.0949748	−	0.660564i
$634$	8.76166	+	1.03016i	0.347970	+	0.0409128i
$635$	24.1795	−	27.9046i	0.959534	−	1.10736i
$636$	4.40938	+	1.05141i	0.174843	+	0.0416909i
$637$	13.4597	+	8.65002i	0.533293	+	0.342726i
$638$	16.7091	+	7.11649i	0.661519	+	0.281745i
$639$	−7.02573	+	6.08783i	−0.277934	+	0.240831i
$640$	23.4389	+	9.65847i	0.926502	+	0.381785i
$641$	−13.0630	+	5.96565i	−0.515956	+	0.235629i	−0.656336	−	0.754468i	$-0.727895\pi$
$641$	−13.0630	+	5.96565i	−0.515956	+	0.235629i	0.140380	+	0.990098i	$0.455167\pi$
$642$	−17.6881	−	19.3811i	−0.698095	−	0.764911i
$643$	−1.05106			−0.0414497			−0.0207249	−	0.999785i	$-0.506597\pi$
$643$	−1.05106			−0.0414497			−0.0207249	+	0.999785i	$0.506597\pi$
$644$	−8.69881	−	4.71073i	−0.342781	−	0.185629i
$645$	29.7532			1.17153
$646$	−14.5389	−	15.9305i	−0.572027	−	0.626776i
$647$	−25.3735	+	11.5877i	−0.997535	+	0.455559i	−0.846167	−	0.532918i	$-0.821095\pi$
$647$	−25.3735	+	11.5877i	−0.997535	+	0.455559i	−0.151368	+	0.988477i	$0.548368\pi$
$648$	7.67385	−	7.76470i	0.301457	−	0.305026i
$649$	−5.88482	+	5.09922i	−0.230999	+	0.200162i
$650$	0.0730433	+	0.0311095i	0.00286499	+	0.00122022i
$651$	−8.22533	−	5.28610i	−0.322376	−	0.207179i
$652$	−5.91206	+	24.7940i	−0.231534	+	0.971007i
$653$	12.7355	−	14.6976i	0.498380	−	0.575161i	−0.449705	−	0.893177i	$-0.648471\pi$
$653$	12.7355	−	14.6976i	0.498380	−	0.575161i	0.948085	+	0.318016i	$0.103016\pi$
$654$	−10.4591	−	1.22973i	−0.408982	−	0.0480863i
$655$	−2.23100	−	15.5170i	−0.0871724	−	0.606297i
$656$	3.51245	+	5.97499i	0.137138	+	0.233284i
$657$	5.65648	−	3.63520i	0.220680	−	0.141823i
$658$	3.24766	+	19.0842i	0.126607	+	0.743978i
$659$	−9.16235	+	20.0627i	−0.356914	+	0.781533i	0.642963	+	0.765897i	$0.277705\pi$
$659$	−9.16235	+	20.0627i	−0.356914	+	0.781533i	−0.999878	+	0.0156365i	$0.995023\pi$
$660$	−5.20743	+	13.1569i	−0.202699	+	0.512131i
$661$	−8.81892	−	30.0345i	−0.343016	−	1.16821i	−0.932725	−	0.360590i	$-0.882576\pi$
$661$	−8.81892	−	30.0345i	−0.343016	−	1.16821i	0.589708	−	0.807616i	$-0.299243\pi$
$662$	−5.72432	+	0.147499i	−0.222482	+	0.00573272i
$663$	17.0095	+	4.99445i	0.660596	+	0.193969i
$664$	11.3122	+	0.742185i	0.438997	+	0.0288024i
$665$	−7.07902	−	1.01781i	−0.274513	−	0.0394690i
$666$	11.3715	−	13.8276i	0.440637	−	0.535810i
$667$	−11.3653	−	23.4230i	−0.440065	−	0.906943i
$668$	−28.9629	+	5.70008i	−1.12061	+	0.220543i
$669$	0.0709270	−	0.493308i	0.00274220	−	0.0190724i
$670$	−30.9534	−	8.22889i	−1.19583	−	0.317910i
$671$	−1.30179	+	4.43348i	−0.0502549	+	0.171152i
$672$	7.12797	−	3.13545i	0.274967	−	0.120953i
$673$	−26.9206	+	7.90460i	−1.03771	+	0.304700i	−0.755843	−	0.654753i	$-0.772773\pi$
$673$	−26.9206	+	7.90460i	−1.03771	+	0.304700i	−0.281870	+	0.959453i	$0.590955\pi$
$674$	6.51042	−	2.09524i	0.250772	−	0.0807056i
$675$	−0.106681	−	0.0487196i	−0.00410615	−	0.00187522i
$676$	9.95721	+	5.69683i	0.382970	+	0.219109i
$677$	−5.67958	−	8.83759i	−0.218284	−	0.339656i	0.714791	−	0.699338i	$-0.246522\pi$
$677$	−5.67958	−	8.83759i	−0.218284	−	0.339656i	−0.933075	+	0.359682i	$0.882885\pi$
$678$	5.53800	−	9.12590i	0.212686	−	0.350478i
$679$	−5.08115	+	0.730559i	−0.194997	+	0.0280363i
$680$	−2.41134	−	31.1388i	−0.0924705	−	1.19412i
$681$	15.6215	+	13.5361i	0.598617	+	0.518705i
$682$	10.4247	+	21.3534i	0.399181	+	0.817664i
$683$	−1.63390	+	2.54240i	−0.0625194	+	0.0972821i	−0.871106	−	0.491095i	$-0.836597\pi$
$683$	−1.63390	+	2.54240i	−0.0625194	+	0.0972821i	0.808586	+	0.588377i	$0.200233\pi$
$684$	−3.48215	−	6.68987i	−0.133143	−	0.255793i
$685$	−26.9633	−	31.1173i	−1.03022	−	1.18893i
$686$	−10.6065	−	15.6050i	−0.404958	−	0.595803i
$687$	−8.36546	−	18.3178i	−0.319162	−	0.698868i
$688$	9.68483	+	38.5971i	0.369231	+	1.47150i
$689$			4.57674i			0.174360i
$690$	18.0152	−	9.32207i	0.685828	−	0.354885i
$691$		−	6.37690i		−	0.242589i	−0.992617	−	0.121294i	$-0.961295\pi$
$691$		−	6.37690i		−	0.242589i	0.992617	−	0.121294i	$-0.0387045\pi$
$692$	18.0681	−	0.931745i	0.686847	−	0.0354196i
$693$	−1.23500	−	2.70427i	−0.0469137	−	0.102727i
$694$	19.0256	−	12.9314i	0.722202	−	0.490869i
$695$	14.7755	+	17.0518i	0.560466	+	0.646812i
$696$	20.0509	+	4.23839i	0.760028	+	0.160656i
$697$	4.61644	−	7.18333i	0.174860	−	0.272088i
$698$	−27.9686	+	13.6542i	−1.05863	+	0.516819i
$699$	−16.7319	−	14.4983i	−0.632859	−	0.548375i
$700$	−0.0297706	−	0.0309783i	−0.00112522	−	0.00117087i
$701$	6.14260	−	0.883172i	0.232003	−	0.0333569i	−0.0253328	−	0.999679i	$-0.508065\pi$
$701$	6.14260	−	0.883172i	0.232003	−	0.0333569i	0.257335	+	0.966322i	$0.417155\pi$
$702$	18.3474	+	11.1340i	0.692477	+	0.420226i
$703$	17.3824	+	27.0475i	0.655588	+	1.02011i
$704$	−18.7628	−	2.47267i	−0.707148	−	0.0931923i
$705$	−36.1072	−	16.4896i	−1.35987	−	0.621034i
$706$	15.2686	+	47.4433i	0.574641	+	1.78555i
$707$	2.65857	−	0.780626i	0.0999858	−	0.0293585i
$708$	−5.40451	+	6.92815i	−0.203114	+	0.260376i
$709$	−5.29476	+	18.0323i	−0.198849	+	0.677217i	0.798334	+	0.602214i	$0.205715\pi$
$709$	−5.29476	+	18.0323i	−0.198849	+	0.677217i	−0.997183	+	0.0750027i	$0.976103\pi$
$710$	6.21143	−	23.3646i	0.233111	−	0.876858i
$711$	1.52348	−	10.5961i	0.0571351	−	0.397383i
$712$	−34.2685	−	18.4511i	−1.28427	−	0.691484i
$713$	8.83098	−	32.8989i	0.330723	−	1.23207i
$714$	−7.40980	−	6.09364i	−0.277305	−	0.228049i
$715$	−14.1411	−	2.03318i	−0.528847	−	0.0760367i
$716$	−16.4620	−	22.9268i	−0.615214	−	0.856814i
$717$	−2.67205	−	0.784586i	−0.0997897	−	0.0293009i
$718$	−0.227262	−	8.81987i	−0.00848136	−	0.329155i
$719$	4.99431	+	17.0091i	0.186256	+	0.634331i	0.998685	+	0.0512700i	$0.0163269\pi$
$719$	4.99431	+	17.0091i	0.186256	+	0.634331i	−0.812428	+	0.583061i	$0.801855\pi$
$720$	1.98268	−	10.7399i	0.0738901	−	0.400252i
$721$	1.32752	−	2.90686i	0.0494394	−	0.108257i
$722$	−13.1370	+	2.23559i	−0.488907	+	0.0832002i
$723$	−22.0267	+	14.1557i	−0.819183	+	0.526457i
$724$	−8.41333	−	24.0037i	−0.312679	−	0.892089i
$725$	−0.0160920	−	0.111922i	−0.000597642	−	0.00415669i
$726$	−1.19109	+	10.1304i	−0.0442054	+	0.375974i
$727$	15.2635	−	17.6150i	0.566091	−	0.653304i	−0.398464	−	0.917184i	$-0.630457\pi$
$727$	15.2635	−	17.6150i	0.566091	−	0.653304i	0.964556	+	0.263880i	$0.0850021\pi$
$728$	4.74862	+	6.26622i	0.175996	+	0.232241i
$729$	−22.9231	−	14.7318i	−0.849005	−	0.545623i
$730$	−6.85187	+	16.0878i	−0.253599	+	0.595435i
$731$	37.0509	−	32.1048i	1.37038	−	1.18744i
$732$	−0.475266	+	5.19239i	−0.0175663	+	0.191916i
$733$	−2.19371	+	1.00183i	−0.0810265	+	0.0370036i	−0.455516	−	0.890228i	$-0.650545\pi$
$733$	−2.19371	+	1.00183i	−0.0810265	+	0.0370036i	0.374490	+	0.927231i	$0.377818\pi$
$734$	−18.4466	+	16.8352i	−0.680875	+	0.621400i
$735$	17.7540			0.654865
$736$	17.9571	+	20.3358i	0.661906	+	0.749587i
$737$	23.9100			0.880736
$738$	2.20548	−	2.01283i	0.0811849	−	0.0740933i
$739$	36.4224	−	16.6336i	1.33982	−	0.611875i	0.388890	−	0.921284i	$-0.372858\pi$
$739$	36.4224	−	16.6336i	1.33982	−	0.611875i	0.950929	+	0.309409i	$0.100131\pi$
$740$	−4.24380	+	46.3646i	−0.156005	+	1.70439i
$741$	−8.41360	+	7.29042i	−0.309081	+	0.267820i
$742$	0.970518	−	2.27872i	0.0356289	−	0.0836543i
$743$	44.2135	+	28.4143i	1.62203	+	1.04242i	0.954661	+	0.297696i	$0.0962182\pi$
$743$	44.2135	+	28.4143i	1.62203	+	1.04242i	0.667374	+	0.744723i	$0.267418\pi$
$744$	16.1951	+	21.3708i	0.593741	+	0.783492i
$745$	−12.6768	+	14.6298i	−0.464442	+	0.535995i
$746$	2.67052	−	22.7132i	0.0977748	−	0.831590i
$747$	−0.695045	−	4.83414i	−0.0254304	−	0.176872i
$748$	7.71209	+	22.0030i	0.281982	+	0.804508i
$749$	−12.0609	+	7.75108i	−0.440696	+	0.283218i
$750$	−20.7612	+	3.53305i	−0.758091	+	0.129009i
$751$	7.23169	−	15.8352i	0.263888	−	0.577834i	−0.730585	−	0.682821i	$-0.760753\pi$
$751$	7.23169	−	15.8352i	0.263888	−	0.577834i	0.994474	+	0.104987i	$0.0334800\pi$
$752$	9.63794	−	52.2073i	0.351460	−	1.90380i
$753$	−10.4913	−	35.7299i	−0.382322	−	1.30207i
$754$	0.532989	+	20.6849i	0.0194103	+	0.753298i
$755$	1.59441	+	0.468160i	0.0580264	+	0.0170381i
$756$	−6.77397	−	9.43416i	−0.246367	−	0.343117i
$757$	−47.6793	−	6.85525i	−1.73293	−	0.249158i	−0.797666	−	0.603099i	$-0.793932\pi$
$757$	−47.6793	−	6.85525i	−1.73293	−	0.249158i	−0.935268	+	0.353941i	$0.884841\pi$
$758$	6.81480	+	5.60433i	0.247525	+	0.203559i
$759$	−11.2094	+	10.1808i	−0.406874	+	0.369541i
$760$	17.2693	+	9.29823i	0.626422	+	0.337282i
$761$	−1.72833	+	12.0208i	−0.0626519	+	0.435754i	0.934219	+	0.356701i	$0.116099\pi$
$761$	−1.72833	+	12.0208i	−0.0626519	+	0.435754i	−0.996870	+	0.0790525i	$0.974811\pi$
$762$	−7.99138	+	30.0600i	−0.289497	+	1.08896i
$763$	−1.62111	+	5.52101i	−0.0586883	+	0.199874i
$764$	5.54579	−	7.10926i	0.200640	−	0.257204i
$765$	−12.9100	+	3.79071i	−0.466761	+	0.137053i
$766$	−10.0076	−	31.0962i	−0.361591	−	1.12355i
$767$	−8.06989	−	3.68539i	−0.291387	−	0.133072i
$768$	−21.3128	+	1.35072i	−0.769061	+	0.0487401i
$769$	12.2718	+	19.0953i	0.442533	+	0.688594i	0.988838	−	0.148992i	$-0.0476028\pi$
$769$	12.2718	+	19.0953i	0.442533	+	0.688594i	−0.546306	+	0.837586i	$0.683966\pi$
$770$	6.60957	+	4.01098i	0.238192	+	0.144546i
$771$	−8.09463	+	1.16383i	−0.291521	+	0.0419144i
$772$	33.4475	+	34.8043i	1.20380	+	1.25263i
$773$	10.0935	+	8.74609i	0.363039	+	0.314575i	0.817211	−	0.576339i	$-0.195519\pi$
$773$	10.0935	+	8.74609i	0.363039	+	0.314575i	−0.454172	+	0.890914i	$0.650065\pi$
$774$	15.4056	−	7.52096i	0.553743	−	0.270335i
$775$	0.0799843	−	0.124458i	0.00287312	−	0.00447066i
$776$	13.7736	+	2.91150i	0.494445	+	0.104517i
$777$	9.36547	+	10.8083i	0.335984	+	0.387747i
$778$	−20.3323	+	13.8195i	−0.728947	+	0.495453i
$779$	2.22758	+	4.87772i	0.0798114	+	0.174763i
$780$	−16.1000	+	0.830250i	−0.576472	+	0.0297277i
$781$			18.0481i			0.645810i
$782$	12.3751	−	31.0476i	0.442531	−	1.11026i
$783$		−	30.5661i		−	1.09234i
$784$	5.77902	+	23.0312i	0.206394	+	0.822544i
$785$	10.3686	+	22.7041i	0.370072	+	0.810344i
$786$	7.42345	+	10.9219i	0.264786	+	0.389572i
$787$	−1.48796	−	1.71719i	−0.0530399	−	0.0612113i	0.728610	−	0.684929i	$-0.240167\pi$
$787$	−1.48796	−	1.71719i	−0.0530399	−	0.0612113i	−0.781650	+	0.623718i	$0.785621\pi$
$788$	−21.0493	−	40.4397i	−0.749852	−	1.44061i
$789$	−0.688304	+	1.07102i	−0.0245043	+	0.0381294i
$790$	12.2134	+	25.0174i	0.434533	+	0.890078i
$791$	−4.40799	−	3.81954i	−0.156730	−	0.135807i
$792$	0.629474	+	8.12871i	0.0223674	+	0.288841i
$793$	−5.21082	+	0.749203i	−0.185042	+	0.0266050i
$794$	6.64100	−	10.9435i	0.235680	−	0.388370i
$795$	2.74569	+	4.27238i	0.0973797	+	0.151526i
$796$	−13.2539	−	7.58296i	−0.469771	−	0.268771i
$797$	7.99121	+	3.64946i	0.283063	+	0.129271i	0.551887	−	0.833919i	$-0.313908\pi$
$797$	7.99121	+	3.64946i	0.283063	+	0.129271i	−0.268824	+	0.963189i	$0.586635\pi$
$798$	5.73502	−	1.84569i	0.203017	−	0.0653368i
$799$	−62.7562	+	18.4269i	−2.22016	+	0.651897i
$800$	0.0474427	+	0.107854i	0.00167735	+	0.00381321i
$801$	−4.72384	+	16.0879i	−0.166909	+	0.568439i
$802$	−51.5626	−	13.7078i	−1.82074	−	0.484040i
$803$	1.85775	−	12.9209i	0.0655585	−	0.455969i
$804$	26.4730	−	5.21005i	0.933632	−	0.183744i
$805$	−3.36993	−	10.5583i	−0.118775	−	0.372132i
$806$	−17.1960	+	20.9101i	−0.605703	+	0.736528i
$807$	−2.76466	−	0.397498i	−0.0973207	−	0.0139926i
$808$	−7.58245	−	0.497480i	−0.266750	−	0.0175013i
$809$	1.97143	+	0.578863i	0.0693117	+	0.0203518i	0.316205	−	0.948691i	$-0.397591\pi$
$809$	1.97143	+	0.578863i	0.0693117	+	0.0203518i	−0.246893	+	0.969043i	$0.579410\pi$
$810$	12.2268	−	0.315049i	0.429606	−	0.0110697i
$811$	−2.88772	−	9.83468i	−0.101402	−	0.345342i	0.893127	−	0.449804i	$-0.148506\pi$
$811$	−2.88772	−	9.83468i	−0.101402	−	0.345342i	−0.994529	+	0.104462i	$0.966688\pi$
$812$	4.12095	−	10.4118i	0.144617	−	0.365383i
$813$	3.43847	−	7.52919i	0.120592	−	0.264060i
$814$	−5.83095	−	34.2643i	−0.204375	−	1.20096i
$815$	−24.0237	+	15.4391i	−0.841512	+	0.540807i
$816$	13.3333	+	22.6811i	0.466758	+	0.793997i
$817$	4.38151	+	30.4741i	0.153290	+	1.06615i
$818$	−21.9834	−	2.58472i	−0.768633	−	0.0903725i
$819$	2.21809	−	2.55981i	0.0775064	−	0.0894471i
$820$	−1.80109	+	7.55338i	−0.0628966	+	0.263776i
$821$	−17.8398	−	11.4650i	−0.622614	−	0.400130i	0.190954	−	0.981599i	$-0.438842\pi$
$821$	−17.8398	−	11.4650i	−0.622614	−	0.400130i	−0.813568	+	0.581469i	$0.802478\pi$
$822$	31.9114	+	13.5912i	1.11304	+	0.474049i
$823$	13.4359	−	11.6422i	0.468345	−	0.405823i	−0.388459	−	0.921466i	$-0.626992\pi$
$823$	13.4359	−	11.6422i	0.468345	−	0.405823i	0.856804	+	0.515643i	$0.172447\pi$
$824$	−6.16040	+	6.23333i	−0.214608	+	0.217148i
$825$	−0.0598237	+	0.0273206i	−0.00208280	+	0.000951181i
$826$	3.23642	+	3.54618i	0.112609	+	0.123387i
$827$	−11.8800			−0.413108			−0.206554	−	0.978435i	$-0.566225\pi$
$827$	−11.8800			−0.413108			−0.206554	+	0.978435i	$0.566225\pi$
$828$	6.97151	−	9.38065i	0.242277	−	0.326000i
$829$	54.5428			1.89435			0.947176	−	0.320715i	$-0.103923\pi$
$829$	54.5428			1.89435			0.947176	+	0.320715i	$0.103923\pi$
$830$	8.56185	+	9.38132i	0.297186	+	0.325630i
$831$	3.35173	−	1.53068i	0.116270	−	0.0530988i
$832$	−6.31767	−	20.6153i	−0.219026	−	0.714709i
$833$	22.1086	−	19.1572i	0.766017	−	0.663757i
$834$	−17.4869	−	7.44779i	−0.605523	−	0.257896i
$835$	−27.8214	−	17.8797i	−0.962799	−	0.618753i
$836$	−14.2425	−	3.39610i	−0.492588	−	0.117456i
$837$	26.1894	−	30.2242i	0.905238	−	1.04470i
$838$	−30.7238	−	3.61237i	−1.06134	−	0.124787i
$839$	5.08376	+	35.3583i	0.175511	+	1.22070i	0.866996	+	0.498314i	$0.166047\pi$
$839$	5.08376	+	35.3583i	0.175511	+	1.22070i	−0.691486	+	0.722390i	$0.743043\pi$
$840$	8.19208	+	3.00070i	0.282654	+	0.103534i
$841$	0.395311	−	0.254051i	0.0136314	−	0.00876038i
$842$	−0.655695	−	3.85305i	−0.0225968	−	0.132785i
$843$	−1.83503	+	4.01815i	−0.0632017	+	0.138392i
$844$	23.3936	+	9.25907i	0.805240	+	0.318710i
$845$	3.62095	+	12.3318i	0.124564	+	0.424228i
$846$	−22.8638	+	0.589133i	−0.786073	+	0.0202548i
$847$	5.34752	+	1.57017i	0.183743	+	0.0539518i
$848$	−4.64859	+	4.95252i	−0.159633	+	0.170070i
$849$	27.0419	+	3.88804i	0.928076	+	0.133437i
$850$	0.0922033	−	0.112118i	0.00316255	−	0.00384562i
$851$	−25.9511	+	42.5327i	−0.889592	+	1.45800i
$852$	3.93272	+	19.9827i	0.134733	+	0.684596i
$853$	−7.74804	+	53.8888i	−0.265288	+	1.84512i	0.226008	+	0.974126i	$0.427433\pi$
$853$	−7.74804	+	53.8888i	−0.265288	+	1.84512i	−0.491296	+	0.870993i	$0.663476\pi$
$854$	2.75329	+	0.731957i	0.0942157	+	0.0250471i
$855$	2.38053	−	8.10734i	0.0814124	−	0.277265i
$856$	38.3695	−	8.58353i	1.31144	−	0.293379i
$857$	−24.7026	+	7.25334i	−0.843825	+	0.247769i	−0.674946	−	0.737867i	$-0.735833\pi$
$857$	−24.7026	+	7.25334i	−0.843825	+	0.247769i	−0.168879	+	0.985637i	$0.554015\pi$
$858$	11.4563	−	3.68696i	0.391111	−	0.125871i
$859$	−46.1926	−	21.0954i	−1.57607	−	0.719767i	−0.580542	−	0.814230i	$-0.697159\pi$
$859$	−46.1926	−	21.0954i	−1.57607	−	0.719767i	−0.995528	+	0.0944628i	$0.969887\pi$
$860$	−22.1400	+	38.6974i	−0.754967	+	1.31957i
$861$	1.28956	+	2.00659i	0.0439481	+	0.0683846i
$862$	12.1901	−	20.0877i	0.415196	−	0.684188i
$863$	41.3577	−	5.94634i	1.40783	−	0.202416i	0.603864	−	0.797088i	$-0.293627\pi$
$863$	41.3577	−	5.94634i	1.40783	−	0.202416i	0.803968	+	0.594672i	$0.202718\pi$
$864$	8.54502	+	30.6836i	0.290708	+	1.04388i
$865$	15.3188	+	13.2738i	0.520856	+	0.451324i
$866$	−22.8397	−	46.7838i	−0.776124	−	1.58978i
$867$	5.25672	−	8.17962i	0.178528	−	0.277795i
$868$	12.9958	−	6.76447i	0.441107	−	0.229601i
$869$	−13.6098	−	15.7066i	−0.461682	−	0.532809i
$870$	12.9069	+	18.9896i	0.437584	+	0.643806i
$871$	11.3164	+	24.7795i	0.383442	+	0.839621i
$872$	9.38222	−	12.6881i	0.317722	−	0.429674i
$873$		−	6.06492i		−	0.205266i
$874$	12.2009	+	17.0789i	0.412701	+	0.577704i
$875$			11.5068i			0.389000i
$876$	−0.758611	−	14.7108i	−0.0256311	−	0.497031i
$877$	7.97506	+	17.4629i	0.269299	+	0.589682i	0.995172	−	0.0981468i	$-0.0312915\pi$
$877$	7.97506	+	17.4629i	0.269299	+	0.589682i	−0.725873	+	0.687828i	$0.758564\pi$
$878$	−13.6318	+	9.26528i	−0.460050	+	0.312688i
$879$	−3.63532	−	4.19539i	−0.122616	−	0.141507i
$880$	−13.2371	−	16.5632i	−0.446221	−	0.558345i
$881$	−20.1347	+	31.3302i	−0.678356	+	1.05554i	0.315929	+	0.948783i	$0.397684\pi$
$881$	−20.1347	+	31.3302i	−0.678356	+	1.05554i	−0.994285	+	0.106760i	$0.965952\pi$
$882$	9.19265	−	4.48782i	0.309533	−	0.151113i
$883$	15.2597	+	13.2226i	0.513531	+	0.444977i	0.872672	−	0.488306i	$-0.162385\pi$
$883$	15.2597	+	13.2226i	0.513531	+	0.444977i	−0.359142	+	0.933283i	$0.616931\pi$
$884$	−19.1530	+	18.4064i	−0.644186	+	0.619073i
$885$	−9.74419	+	1.40100i	−0.327547	+	0.0470942i
$886$	−15.1032	−	9.16528i	−0.507401	−	0.307914i
$887$	−0.734016	−	1.14215i	−0.0246458	−	0.0383497i	0.828712	−	0.559675i	$-0.189074\pi$
$887$	−0.734016	−	1.14215i	−0.0246458	−	0.0383497i	−0.853358	+	0.521326i	$0.825438\pi$
$888$	−13.9223	−	36.6667i	−0.467201	−	1.23045i
$889$	15.4591	+	7.05995i	0.518483	+	0.236783i
$890$	−13.3584	−	41.5079i	−0.447776	−	1.39135i
$891$	−8.76075	+	2.57239i	−0.293496	+	0.0861783i
$892$	0.588825	+	0.459330i	0.0197153	+	0.0153795i
$893$	11.5719	−	39.4103i	0.387239	−	1.31882i
$894$	4.18971	−	15.7598i	0.140125	−	0.527087i
$895$	4.50026	−	31.3000i	0.150427	−	1.04624i
$896$	−1.22607	+	11.6039i	−0.0409601	+	0.387658i
$897$	−15.8564	−	6.79847i	−0.529428	−	0.226994i
$898$	−25.0633	−	20.6115i	−0.836374	−	0.687815i
$899$	38.1656	+	5.48738i	1.27289	+	0.183014i
$900$	0.0412328	−	0.0296062i	0.00137443	−	0.000986873i
$901$	8.02920	+	2.35759i	0.267492	+	0.0785426i
$902$	−0.149319	−	5.79493i	−0.00497176	−	0.192950i
$903$	3.85826	+	13.1400i	0.128395	+	0.437273i
$904$	7.74831	+	13.9936i	0.257705	+	0.465420i
$905$	11.8380	−	25.9216i	0.393509	−	0.861664i
$906$	−1.37999	+	0.234841i	−0.0458472	+	0.00780208i
$907$	−31.8229	+	20.4514i	−1.05666	+	0.679076i	−0.949053	−	0.315117i	$-0.897956\pi$
$907$	−31.8229	+	20.4514i	−1.05666	+	0.679076i	−0.107610	+	0.994193i	$0.534320\pi$
$908$	−29.2295	+	10.2450i	−0.970016	+	0.339993i
$909$	0.465882	+	3.24028i	0.0154523	+	0.107473i
$910$	−1.02858	+	8.74828i	−0.0340973	+	0.290003i
$911$	10.9011	−	12.5806i	0.361171	−	0.416814i	−0.545861	−	0.837876i	$-0.683797\pi$
$911$	10.9011	−	12.5806i	0.361171	−	0.416814i	0.907032	+	0.421062i	$0.138343\pi$
$912$	−16.5093	−	0.656658i	−0.546677	−	0.0217441i
$913$	−7.97639	−	5.12611i	−0.263980	−	0.169650i
$914$	−6.86457	+	16.1176i	−0.227060	+	0.533122i
$915$	−4.41483	+	3.82548i	−0.145950	+	0.126466i
$916$	30.0493	+	2.75045i	0.992857	+	0.0908774i
$917$	6.56352	−	2.99746i	0.216746	−	0.0989848i
$918$	28.9841	−	26.4523i	0.956618	−	0.873056i
$919$	10.4563			0.344920			0.172460	−	0.985017i	$-0.444828\pi$
$919$	10.4563			0.344920			0.172460	+	0.985017i	$0.444828\pi$
$920$	−1.28112	+	30.3676i	−0.0422374	+	1.00119i
$921$	−30.4281			−1.00264
$922$	13.2174	−	12.0628i	0.435291	−	0.397268i
$923$	−18.7044	+	8.54199i	−0.615661	+	0.281163i
$924$	−6.48582	−	0.593655i	−0.213368	−	0.0195298i
$925$	−0.163542	+	0.141710i	−0.00537722	+	0.00465938i
$926$	12.6787	−	29.7689i	0.416649	−	0.978265i
$927$	3.17618	+	2.04121i	0.104320	+	0.0670421i
$928$	−20.4328	+	22.9246i	−0.670740	+	0.752536i
$929$	0.618406	−	0.713678i	0.0202892	−	0.0234150i	−0.745514	−	0.666490i	$-0.767796\pi$
$929$	0.618406	−	0.713678i	0.0202892	−	0.0234150i	0.765804	+	0.643075i	$0.222342\pi$
$930$	−3.50797	+	29.8359i	−0.115031	+	0.978357i
$931$	2.61448	+	18.1841i	0.0856862	+	0.595961i
$932$	31.3072	−	10.9733i	1.02550	−	0.359441i
$933$	23.9708	−	15.4051i	0.784770	−	0.504341i
$934$	−8.72168	+	1.48422i	−0.285382	+	0.0485651i
$935$	−10.8513	+	23.7611i	−0.354876	+	0.777070i
$936$	−8.12638	+	4.49961i	−0.265619	+	0.147074i
$937$	−15.3612	−	52.3154i	−0.501828	−	1.70907i	−0.687260	−	0.726411i	$-0.741187\pi$
$937$	−15.3612	−	52.3154i	−0.501828	−	1.70907i	0.185433	−	0.982657i	$-0.440631\pi$
$938$	−0.379734	−	14.7372i	−0.0123987	−	0.481185i
$939$	11.4076	+	3.34957i	0.372272	+	0.109309i
$940$	48.3147	−	34.6912i	1.57585	−	1.13150i
$941$	10.5310	+	1.51413i	0.343302	+	0.0493593i	0.311809	−	0.950145i	$-0.399065\pi$
$941$	10.5310	+	1.51413i	0.343302	+	0.0493593i	0.0314923	+	0.999504i	$0.489974\pi$
$942$	−16.2398	−	13.3552i	−0.529122	−	0.435137i
$943$	−5.29369	+	6.40556i	−0.172386	+	0.208594i
$944$	−4.98923	−	12.1846i	−0.162386	−	0.396574i
$945$	1.85182	−	12.8797i	0.0602396	−	0.418975i
$946$	8.55104	−	32.1652i	0.278018	−	1.04578i
$947$	−1.95879	+	6.67104i	−0.0636523	+	0.216780i	−0.985177	−	0.171539i	$-0.945126\pi$
$947$	−1.95879	+	6.67104i	−0.0636523	+	0.216780i	0.921525	+	0.388319i	$0.126944\pi$
$948$	−18.4912	−	14.4246i	−0.600568	−	0.468490i
$949$	14.2700	−	4.19006i	0.463225	−	0.136015i
$950$	0.0279273	+	0.0867770i	0.000906081	+	0.00281542i
$951$	−7.57374	−	3.45881i	−0.245595	−	0.112160i
$952$	13.4393	−	5.10287i	0.435569	−	0.165385i
$953$	−5.53989	−	8.62023i	−0.179455	−	0.279237i	0.739860	−	0.672761i	$-0.234892\pi$
$953$	−5.53989	−	8.62023i	−0.179455	−	0.279237i	−0.919314	+	0.393525i	$0.871256\pi$
$954$	2.50163	+	1.51810i	0.0809933	+	0.0491504i
$955$	9.99891	−	1.43763i	0.323557	−	0.0465205i
$956$	3.00878	−	2.89148i	0.0973108	−	0.0935172i
$957$	−12.9540	−	11.2247i	−0.418744	−	0.362844i
$958$	−39.8942	+	19.4762i	−1.28892	+	0.629247i
$959$	10.2460	−	15.9431i	0.330861	−	0.514829i
$960$	−18.2652	−	15.4543i	−0.589506	−	0.498785i
$961$	12.7363	+	14.6985i	0.410848	+	0.474144i
$962$	32.7505	−	22.2600i	1.05592	−	0.717691i
$963$	−7.03649	−	15.4078i	−0.226748	−	0.496508i
$964$	−2.02055	−	39.1819i	−0.0650774	−	1.26196i
$965$			54.0807i			1.74092i
$966$	6.45309	+	6.74731i	0.207625	+	0.217091i
$967$			34.4195i			1.10686i	0.832897	+	0.553428i	$0.186680\pi$
$967$			34.4195i			1.10686i	−0.832897	+	0.553428i	$0.813320\pi$
$968$	−12.2894	−	9.08740i	−0.394997	−	0.292080i
$969$	8.45591	+	18.5159i	0.271643	+	0.594815i
$970$	8.86617	+	13.0446i	0.284676	+	0.418836i
$971$	−3.69908	−	4.26896i	−0.118709	−	0.136997i	0.693284	−	0.720664i	$-0.256163\pi$
$971$	−3.69908	−	4.26896i	−0.118709	−	0.136997i	−0.811993	+	0.583667i	$0.801618\pi$
$972$	20.8275	−	10.8410i	0.668042	−	0.347724i
$973$	−5.61465	+	8.73656i	−0.179997	+	0.280081i
$974$	−2.47090	−	5.06127i	−0.0791726	−	0.162174i
$975$	−0.0566282	−	0.0490686i	−0.00181355	−	0.00157145i
$976$	−6.39963	−	4.48190i	−0.204847	−	0.143462i
$977$	41.3999	−	5.95241i	1.32450	−	0.190435i	0.556481	−	0.830860i	$-0.312151\pi$
$977$	41.3999	−	5.95241i	1.32450	−	0.190435i	0.768020	+	0.640426i	$0.221242\pi$
$978$	12.4803	−	20.5659i	0.399075	−	0.657624i
$979$	17.5988	+	27.3843i	0.562461	+	0.875206i
$980$	−13.2111	+	23.0910i	−0.422014	+	0.737616i
$981$	−6.18390	−	2.82409i	−0.197437	−	0.0901663i
$982$	19.0977	−	6.14619i	0.609433	−	0.196133i
$983$	−23.3093	+	6.84424i	−0.743452	+	0.218297i	−0.631456	−	0.775411i	$-0.717542\pi$
$983$	−23.3093	+	6.84424i	−0.743452	+	0.218297i	−0.111996	+	0.993709i	$0.535724\pi$
$984$	−1.42806	−	6.38359i	−0.0455247	−	0.203501i
$985$	14.3901	−	49.0082i	0.458507	−	1.56153i
$986$	36.5630	+	9.72021i	1.16440	+	0.309555i
$987$	2.60016	−	18.0845i	0.0827639	−	0.575635i
$988$	−3.22128	−	16.3678i	−0.102483	−	0.520729i
$989$	−39.5237	+	26.7247i	−1.25678	+	0.849796i
$990$	−5.80192	+	7.05507i	−0.184397	+	0.224225i
$991$	2.45615	+	0.353141i	0.0780223	+	0.0112179i	0.181215	−	0.983443i	$-0.441997\pi$
$991$	2.45615	+	0.353141i	0.0780223	+	0.0112179i	−0.103193	+	0.994661i	$0.532906\pi$
$992$	−39.8463	+	5.16105i	−1.26512	+	0.163864i
$993$	5.18545	+	1.52259i	0.164555	+	0.0483178i
$994$	11.1241	−	0.286635i	0.352835	−	0.00909152i
$995$	−4.81979	−	16.4147i	−0.152798	−	0.520381i
$996$	−9.94841	−	3.93753i	−0.315228	−	0.124766i
$997$	10.8820	−	23.8283i	0.344637	−	0.754649i	−0.655363	−	0.755314i	$-0.727484\pi$
$997$	10.8820	−	23.8283i	0.344637	−	0.754649i	1.00000		0.000665076i	$0.000211700\pi$
$998$	8.07053	+	47.4247i	0.255468	+	1.50120i
$999$	−49.2105	+	31.6257i	−1.55695	+	1.00059i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	92.2.h.a.15.8	yes	100
3.2	odd	2		828.2.u.a.199.3		100
4.3	odd	2	inner	92.2.h.a.15.4	✓	100
12.11	even	2		828.2.u.a.199.7		100
23.20	odd	22	inner	92.2.h.a.43.4	yes	100
69.20	even	22		828.2.u.a.595.7		100
92.43	even	22	inner	92.2.h.a.43.8	yes	100
276.227	odd	22		828.2.u.a.595.3		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
92.2.h.a.15.4	✓	100	4.3	odd	2	inner
92.2.h.a.15.8	yes	100	1.1	even	1	trivial
92.2.h.a.43.4	yes	100	23.20	odd	22	inner
92.2.h.a.43.8	yes	100	92.43	even	22	inner
828.2.u.a.199.3		100	3.2	odd	2
828.2.u.a.199.7		100	12.11	even	2
828.2.u.a.595.3		100	276.227	odd	22
828.2.u.a.595.7		100	69.20	even	22

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

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

\(f(q)\)	\(=\)	\(q+(1.04458 - 0.953336i) q^{2} +(-1.21411 + 0.554465i) q^{3} +(0.182300 - 1.99167i) q^{4} +(1.69342 - 1.46736i) q^{5} +(-0.739644 + 1.73664i) q^{6} +(0.867633 + 0.557594i) q^{7} +(-1.70831 - 2.25426i) q^{8} +(-0.797954 + 0.920888i) q^{9} +(0.370032 - 3.14718i) q^{10} +(0.336663 + 2.34155i) q^{11} +(0.882981 + 2.51919i) q^{12} +(-2.26735 + 1.45714i) q^{13} +(1.43789 - 0.244694i) q^{14} +(-1.24240 + 2.72048i) q^{15} +(-3.93353 - 0.726166i) q^{16} +(1.38837 + 4.72834i) q^{17} +(0.0443880 + 1.72266i) q^{18} +(-2.96935 - 0.871880i) q^{19} +(-2.61379 - 3.64025i) q^{20} +(-1.36257 - 0.195907i) q^{21} +(2.58395 + 2.12498i) q^{22} +(-0.793181 - 4.72978i) q^{23} +(3.32398 + 1.78972i) q^{24} +(0.00296429 - 0.0206171i) q^{25} +(-0.979291 + 3.68365i) q^{26} +(1.58631 - 5.40247i) q^{27} +(1.26871 - 1.62639i) q^{28} +(5.20872 - 1.52942i) q^{29} +(1.29574 + 4.02619i) q^{30} +(6.46087 + 2.95058i) q^{31} +(-4.80118 + 2.99144i) q^{32} +(-1.70705 - 2.65622i) q^{33} +(5.95796 + 3.61556i) q^{34} +(2.28746 - 0.328887i) q^{35} +(1.68864 + 1.75714i) q^{36} +(-7.85160 - 6.80345i) q^{37} +(-3.93292 + 1.92004i) q^{38} +(1.94488 - 3.02629i) q^{39} +(-6.20070 - 1.31071i) q^{40} +(-1.13470 - 1.30951i) q^{41} +(-1.61008 + 1.09434i) q^{42} +(-4.13272 - 9.04940i) q^{43} +(4.72497 - 0.243659i) q^{44} +2.73034i q^{45} +(-5.33762 - 4.18448i) q^{46} +13.2724i q^{47} +(5.17837 - 1.29936i) q^{48} +(-2.46603 - 5.39985i) q^{49} +(-0.0165586 - 0.0243622i) q^{50} +(-4.30732 - 4.97092i) q^{51} +(2.48881 + 4.78147i) q^{52} +(0.918064 - 1.42853i) q^{53} +(-3.49334 - 7.15561i) q^{54} +(4.00600 + 3.47122i) q^{55} +(-0.225223 - 2.90841i) q^{56} +(4.08854 - 0.587843i) q^{57} +(3.98288 - 6.56327i) q^{58} +(1.77958 + 2.76909i) q^{59} +(5.19182 + 2.97040i) q^{60} +(1.77674 + 0.811408i) q^{61} +(9.56181 - 3.07726i) q^{62} +(-1.20581 + 0.354059i) q^{63} +(-2.16337 + 7.70194i) q^{64} +(-1.70144 + 5.79458i) q^{65} +(-4.31542 - 1.14725i) q^{66} +(1.43841 - 10.0044i) q^{67} +(9.67041 - 1.90319i) q^{68} +(3.58551 + 5.30268i) q^{69} +(2.07590 - 2.52427i) q^{70} +(7.55164 + 1.08576i) q^{71} +(3.43907 + 0.225635i) q^{72} +(-5.29459 - 1.55463i) q^{73} +(-14.6876 + 0.378457i) q^{74} +(0.00783248 + 0.0266750i) q^{75} +(-2.27781 + 5.75503i) q^{76} +(-1.01353 + 2.21932i) q^{77} +(-0.853489 - 5.01533i) q^{78} +(-7.39069 + 4.74971i) q^{79} +(-7.72669 + 4.54220i) q^{80} +(0.549293 + 3.82042i) q^{81} +(-2.43369 - 0.286143i) q^{82} +(-2.62472 + 3.02909i) q^{83} +(-0.638580 + 2.67807i) q^{84} +(9.28927 + 5.96985i) q^{85} +(-12.9441 - 5.51296i) q^{86} +(-5.47594 + 4.74493i) q^{87} +(4.70333 - 4.75901i) q^{88} +(12.5168 - 5.71625i) q^{89} +(2.60293 + 2.85206i) q^{90} -2.77972 q^{91} +(-9.56479 + 0.717516i) q^{92} -9.48020 q^{93} +(12.6530 + 13.8641i) q^{94} +(-6.30773 + 2.88064i) q^{95} +(4.17050 - 6.29401i) q^{96} +(-3.76161 + 3.25946i) q^{97} +(-7.72384 - 3.28963i) q^{98} +(-2.42494 - 1.55842i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25}+ \cdots - 71 q^{98}+O(q^{100}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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