LMFDB - Embedded newform 99.2.p.a.74.8

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [99,2,Mod(2,99)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(99, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([5, 3])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("99.2"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.p (of order $30$, degree $8$, 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:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			74.8
Character	$\chi$	$=$	99.74
Dual form			99.2.p.a.95.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.120408 + 1.14561i) q^{2} +(-0.188112 + 1.72181i) q^{3} +(0.658378 - 0.139943i) q^{4} +(-0.932459 - 0.0980053i) q^{5} +(-1.99516 - 0.00818335i) q^{6} +(0.644183 - 0.580025i) q^{7} +(0.951517 + 2.92847i) q^{8} +(-2.92923 - 0.647785i) q^{9} -1.08003i q^{10} +(-1.72444 - 2.83308i) q^{11} +(0.117105 + 1.15992i) q^{12} +(0.479642 - 1.07729i) q^{13} +(0.742046 + 0.668141i) q^{14} +(0.344153 - 1.58708i) q^{15} +(-2.01051 + 0.895139i) q^{16} +(2.52191 + 1.83228i) q^{17} +(0.389405 - 3.43374i) q^{18} +(6.59786 - 2.14377i) q^{19} +(-0.627625 + 0.0659661i) q^{20} +(0.877511 + 1.21827i) q^{21} +(3.03796 - 2.31665i) q^{22} +(2.04949 - 1.18327i) q^{23} +(-5.22125 + 1.08745i) q^{24} +(-4.03086 - 0.856787i) q^{25} +(1.29191 + 0.419767i) q^{26} +(1.66638 - 4.92170i) q^{27} +(0.342946 - 0.472024i) q^{28} +(-2.42248 - 2.69044i) q^{29} +(1.85960 + 0.203167i) q^{30} +(-5.80030 - 2.58246i) q^{31} +(1.81162 + 3.13781i) q^{32} +(5.20239 - 2.43621i) q^{33} +(-1.79541 + 3.10974i) q^{34} +(-0.657520 + 0.477716i) q^{35} +(-2.01919 - 0.0165641i) q^{36} +(-2.46847 + 7.59716i) q^{37} +(3.25036 + 7.30042i) q^{38} +(1.76466 + 1.02850i) q^{39} +(-0.600245 - 2.82393i) q^{40} +(-2.41108 + 2.67778i) q^{41} +(-1.29000 + 1.15197i) q^{42} +(-3.31791 - 1.91560i) q^{43} +(-1.53180 - 1.62391i) q^{44} +(2.66790 + 0.891113i) q^{45} +(1.60234 + 2.20543i) q^{46} +(0.0333008 - 0.156668i) q^{47} +(-1.16305 - 3.63010i) q^{48} +(-0.653156 + 6.21437i) q^{49} +(0.496192 - 4.72095i) q^{50} +(-3.62923 + 3.99757i) q^{51} +(0.165027 - 0.776389i) q^{52} +(-5.71174 - 7.86153i) q^{53} +(5.83898 + 1.31641i) q^{54} +(1.33031 + 2.81073i) q^{55} +(2.31154 + 1.33457i) q^{56} +(2.45002 + 11.7635i) q^{57} +(2.79050 - 3.09916i) q^{58} +(-1.80800 - 8.50597i) q^{59} +(0.00448328 - 1.09306i) q^{60} +(5.51908 + 12.3961i) q^{61} +(2.26008 - 6.95581i) q^{62} +(-2.26269 + 1.28173i) q^{63} +(-6.93750 + 5.04039i) q^{64} +(-0.552827 + 0.957525i) q^{65} +(3.41735 + 5.66656i) q^{66} +(-3.32149 - 5.75299i) q^{67} +(1.91678 + 0.853407i) q^{68} +(1.65183 + 3.75141i) q^{69} +(-0.626445 - 0.695738i) q^{70} +(-6.53958 + 9.00097i) q^{71} +(-0.890191 - 9.19453i) q^{72} +(3.29787 + 1.07154i) q^{73} +(-9.00058 - 1.91313i) q^{74} +(2.23347 - 6.77919i) q^{75} +(4.04388 - 2.33473i) q^{76} +(-2.75411 - 0.824803i) q^{77} +(-0.965780 + 2.14545i) q^{78} +(-7.50645 + 0.788960i) q^{79} +(1.96245 - 0.637639i) q^{80} +(8.16075 + 3.79502i) q^{81} +(-3.35800 - 2.43973i) q^{82} +(13.1816 - 5.86883i) q^{83} +(0.748222 + 0.679279i) q^{84} +(-2.17201 - 1.95568i) q^{85} +(1.79502 - 4.03167i) q^{86} +(5.08810 - 3.66493i) q^{87} +(6.65574 - 7.74568i) q^{88} -9.28531i q^{89} +(-0.699629 + 3.16366i) q^{90} +(-0.315880 - 0.972179i) q^{91} +(1.18375 - 1.06585i) q^{92} +(5.53760 - 9.50119i) q^{93} +(0.183489 + 0.0192855i) q^{94} +(-6.36233 + 1.35236i) q^{95} +(-5.74348 + 2.52899i) q^{96} +(1.27346 + 12.1162i) q^{97} -7.19787 q^{98} +(3.21604 + 9.41579i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) $ 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	0.120408	+	1.14561i	0.0851414	+	0.810066i	0.950878	+	0.309566i	$0.100184\pi$
$2$	0.120408	+	1.14561i	0.0851414	+	0.810066i	−0.865736	+	0.500500i	$0.833149\pi$
$3$	−0.188112	+	1.72181i	−0.108607	+	0.994085i
$3$	−0.188112	+	1.72181i	−0.108607	+	0.994085i
$4$	0.658378	−	0.139943i	0.329189	−	0.0699713i
$5$	−0.932459	−	0.0980053i	−0.417008	−	0.0438293i	−0.106299	−	0.994334i	$-0.533900\pi$
$5$	−0.932459	−	0.0980053i	−0.417008	−	0.0438293i	−0.310709	+	0.950505i	$0.600567\pi$
$6$	−1.99516	−	0.00818335i	−0.814522	−	0.00334084i
$7$	0.644183	−	0.580025i	0.243478	−	0.219229i	−0.538352	−	0.842720i	$-0.680953\pi$
$7$	0.644183	−	0.580025i	0.243478	−	0.219229i	0.781830	+	0.623491i	$0.214286\pi$
$8$	0.951517	+	2.92847i	0.336412	+	1.03537i
$9$	−2.92923	−	0.647785i	−0.976409	−	0.215928i
$10$		−	1.08003i		−	0.341536i
$11$	−1.72444	−	2.83308i	−0.519937	−	0.854205i
$11$	−1.72444	−	2.83308i	−0.519937	−	0.854205i
$12$	0.117105	+	1.15992i	0.0338053	+	0.334841i
$13$	0.479642	−	1.07729i	0.133029	−	0.298788i	−0.834733	−	0.550655i	$-0.814378\pi$
$13$	0.479642	−	1.07729i	0.133029	−	0.298788i	0.967762	+	0.251867i	$0.0810447\pi$
$14$	0.742046	+	0.668141i	0.198320	+	0.178568i
$15$	0.344153	−	1.58708i	0.0888599	−	0.409781i
$16$	−2.01051	+	0.895139i	−0.502629	+	0.223785i
$17$	2.52191	+	1.83228i	0.611653	+	0.444392i	0.849996	−	0.526789i	$-0.176604\pi$
$17$	2.52191	+	1.83228i	0.611653	+	0.444392i	−0.238343	+	0.971181i	$0.576604\pi$
$18$	0.389405	−	3.43374i	0.0917836	−	0.809341i
$19$	6.59786	−	2.14377i	1.51365	−	0.491816i	0.569688	−	0.821861i	$-0.307064\pi$
$19$	6.59786	−	2.14377i	1.51365	−	0.491816i	0.943965	+	0.330046i	$0.107064\pi$
$20$	−0.627625	+	0.0659661i	−0.140341	+	0.0147505i
$21$	0.877511	+	1.21827i	0.191489	+	0.265848i
$22$	3.03796	−	2.31665i	0.647694	−	0.493912i
$23$	2.04949	−	1.18327i	0.427348	−	0.246730i	−0.270868	−	0.962616i	$-0.587311\pi$
$23$	2.04949	−	1.18327i	0.427348	−	0.246730i	0.698216	+	0.715887i	$0.253977\pi$
$24$	−5.22125	+	1.08745i	−1.06578	+	0.221974i
$25$	−4.03086	−	0.856787i	−0.806173	−	0.171357i
$26$	1.29191	+	0.419767i	0.253364	+	0.0823230i
$27$	1.66638	−	4.92170i	0.320696	−	0.947182i
$28$	0.342946	−	0.472024i	0.0648106	−	0.0892042i
$29$	−2.42248	−	2.69044i	−0.449843	−	0.499601i	0.474981	−	0.879996i	$-0.342455\pi$
$29$	−2.42248	−	2.69044i	−0.449843	−	0.499601i	−0.924824	+	0.380395i	$0.875788\pi$
$30$	1.85960	+	0.203167i	0.339516	+	0.0370931i
$31$	−5.80030	−	2.58246i	−1.04176	−	0.463823i	−0.186739	−	0.982410i	$-0.559792\pi$
$31$	−5.80030	−	2.58246i	−1.04176	−	0.463823i	−0.855025	+	0.518586i	$0.826458\pi$
$32$	1.81162	+	3.13781i	0.320251	+	0.554692i
$33$	5.20239	−	2.43621i	0.905620	−	0.424089i
$34$	−1.79541	+	3.10974i	−0.307910	+	0.533316i
$35$	−0.657520	+	0.477716i	−0.111141	+	0.0807487i
$36$	−2.01919	−	0.0165641i	−0.336532	−	0.00276068i
$37$	−2.46847	+	7.59716i	−0.405813	+	1.24897i	0.514401	+	0.857550i	$0.328014\pi$
$37$	−2.46847	+	7.59716i	−0.405813	+	1.24897i	−0.920214	+	0.391415i	$0.871986\pi$
$38$	3.25036	+	7.30042i	0.527278	+	1.18429i
$39$	1.76466	+	1.02850i	0.282572	+	0.164692i
$40$	−0.600245	−	2.82393i	−0.0949070	−	0.446503i
$41$	−2.41108	+	2.67778i	−0.376548	+	0.418199i	−0.901395	−	0.432998i	$-0.857456\pi$
$41$	−2.41108	+	2.67778i	−0.376548	+	0.418199i	0.524847	+	0.851197i	$0.324122\pi$
$42$	−1.29000	+	1.15197i	−0.199051	+	0.177753i
$43$	−3.31791	−	1.91560i	−0.505976	−	0.292126i	0.225202	−	0.974312i	$-0.427696\pi$
$43$	−3.31791	−	1.91560i	−0.505976	−	0.292126i	−0.731178	+	0.682187i	$0.761029\pi$
$44$	−1.53180	−	1.62391i	−0.230927	−	0.244814i
$45$	2.66790	+	0.891113i	0.397707	+	0.132839i
$46$	1.60234	+	2.20543i	0.236252	+	0.325174i
$47$	0.0333008	−	0.156668i	0.00485741	−	0.0228523i	−0.975652	−	0.219324i	$-0.929615\pi$
$47$	0.0333008	−	0.156668i	0.00485741	−	0.0228523i	0.980510	+	0.196471i	$0.0629483\pi$
$48$	−1.16305	−	3.63010i	−0.167872	−	0.523960i
$49$	−0.653156	+	6.21437i	−0.0933081	+	0.887767i
$50$	0.496192	−	4.72095i	0.0701721	−	0.667643i
$51$	−3.62923	+	3.99757i	−0.508193	+	0.559771i
$52$	0.165027	−	0.776389i	0.0228851	−	0.107666i
$53$	−5.71174	−	7.86153i	−0.784567	−	1.07986i	−0.994763	−	0.102205i	$-0.967410\pi$
$53$	−5.71174	−	7.86153i	−0.784567	−	1.07986i	0.210196	−	0.977659i	$-0.432590\pi$
$54$	5.83898	+	1.31641i	0.794585	+	0.179140i
$55$	1.33031	+	2.81073i	0.179379	+	0.378999i
$56$	2.31154	+	1.33457i	0.308892	+	0.178339i
$57$	2.45002	+	11.7635i	0.324514	+	1.55811i
$58$	2.79050	−	3.09916i	0.366410	−	0.406940i
$59$	−1.80800	−	8.50597i	−0.235382	−	1.10738i	−0.924039	−	0.382297i	$-0.875133\pi$
$59$	−1.80800	−	8.50597i	−0.235382	−	1.10738i	0.688658	−	0.725086i	$-0.258200\pi$
$60$	0.00448328	−	1.09306i	0.000578789	−	0.141113i
$61$	5.51908	+	12.3961i	0.706646	+	1.58715i	0.805874	+	0.592087i	$0.201696\pi$
$61$	5.51908	+	12.3961i	0.706646	+	1.58715i	−0.0992283	+	0.995065i	$0.531637\pi$
$62$	2.26008	−	6.95581i	0.287030	−	0.883389i
$63$	−2.26269	+	1.28173i	−0.285072	+	0.161483i
$64$	−6.93750	+	5.04039i	−0.867188	+	0.630049i
$65$	−0.552827	+	0.957525i	−0.0685698	+	0.118766i
$66$	3.41735	+	5.66656i	0.420646	+	0.697505i
$67$	−3.32149	−	5.75299i	−0.405785	−	0.702840i	0.588628	−	0.808404i	$-0.299668\pi$
$67$	−3.32149	−	5.75299i	−0.405785	−	0.702840i	−0.994412	+	0.105565i	$0.966335\pi$
$68$	1.91678	+	0.853407i	0.232444	+	0.103491i
$69$	1.65183	+	3.75141i	0.198857	+	0.451617i
$70$	−0.626445	−	0.695738i	−0.0748745	−	0.0831566i
$71$	−6.53958	+	9.00097i	−0.776106	+	1.06822i	0.219595	+	0.975591i	$0.429526\pi$
$71$	−6.53958	+	9.00097i	−0.776106	+	1.06822i	−0.995701	+	0.0926270i	$0.970474\pi$
$72$	−0.890191	−	9.19453i	−0.104910	−	1.08359i
$73$	3.29787	+	1.07154i	0.385987	+	0.125415i	0.495581	−	0.868562i	$-0.334955\pi$
$73$	3.29787	+	1.07154i	0.385987	+	0.125415i	−0.109594	+	0.993976i	$0.534955\pi$
$74$	−9.00058	−	1.91313i	−1.04630	−	0.222397i
$75$	2.23347	−	6.77919i	0.257899	−	0.782794i
$76$	4.04388	−	2.33473i	0.463865	−	0.267812i
$77$	−2.75411	−	0.824803i	−0.313860	−	0.0939950i
$78$	−0.965780	+	2.14545i	−0.109353	+	0.242925i
$79$	−7.50645	+	0.788960i	−0.844542	+	0.0887649i	−0.516909	−	0.856040i	$-0.672918\pi$
$79$	−7.50645	+	0.788960i	−0.844542	+	0.0887649i	−0.327633	+	0.944805i	$0.606251\pi$
$80$	1.96245	−	0.637639i	0.219409	−	0.0712902i
$81$	8.16075	+	3.79502i	0.906750	+	0.421669i
$82$	−3.35800	−	2.43973i	−0.370829	−	0.269423i
$83$	13.1816	−	5.86883i	1.44687	−	0.644188i	0.475060	−	0.879953i	$-0.342426\pi$
$83$	13.1816	−	5.86883i	1.44687	−	0.644188i	0.971810	+	0.235765i	$0.0757595\pi$
$84$	0.748222	+	0.679279i	0.0816377	+	0.0741154i
$85$	−2.17201	−	1.95568i	−0.235587	−	0.212124i
$86$	1.79502	−	4.03167i	0.193562	−	0.434747i
$87$	5.08810	−	3.66493i	0.545502	−	0.392922i
$88$	6.65574	−	7.74568i	0.709505	−	0.825692i
$89$		−	9.28531i		−	0.984241i	−0.870527	−	0.492120i	$-0.836222\pi$
$89$		−	9.28531i		−	0.984241i	0.870527	−	0.492120i	$-0.163778\pi$
$90$	−0.699629	+	3.16366i	−0.0737474	+	0.333479i
$91$	−0.315880	−	0.972179i	−0.0331132	−	0.101912i
$92$	1.18375	−	1.06585i	0.123414	−	0.111123i
$93$	5.53760	−	9.50119i	0.574222	−	0.985228i
$94$	0.183489	+	0.0192855i	0.0189255	+	0.00198915i
$95$	−6.36233	+	1.35236i	−0.652761	+	0.138749i
$96$	−5.74348	+	2.52899i	−0.586192	+	0.258114i
$97$	1.27346	+	12.1162i	0.129300	+	1.23021i	0.846136	+	0.532968i	$0.178923\pi$
$97$	1.27346	+	12.1162i	0.129300	+	1.23021i	−0.716835	+	0.697243i	$0.754410\pi$
$98$	−7.19787			−0.727095
$99$	3.21604	+	9.41579i	0.323224	+	0.946322i
$100$	−2.77373			−0.277373
$101$	−0.633258	−	6.02504i	−0.0630115	−	0.599514i	−0.979778	−	0.200090i	$-0.935877\pi$
$101$	−0.633258	−	6.02504i	−0.0630115	−	0.599514i	0.916766	−	0.399425i	$-0.130790\pi$
$102$	−5.01663	−	3.67633i	−0.496720	−	0.364011i
$103$	3.90142	−	0.829273i	0.384419	−	0.0817107i	−0.0116487	−	0.999932i	$-0.503708\pi$
$103$	3.90142	−	0.829273i	0.384419	−	0.0817107i	0.396067	+	0.918221i	$0.370375\pi$
$104$	3.61121	+	0.379554i	0.354108	+	0.0372183i
$105$	−0.698846	−	1.22198i	−0.0682004	−	0.119254i
$106$	8.31848	−	7.49000i	0.807963	−	0.727493i
$107$	1.90097	+	5.85057i	0.183773	+	0.565596i	0.999925	−	0.0122414i	$-0.00389667\pi$
$107$	1.90097	+	5.85057i	0.183773	+	0.565596i	−0.816152	+	0.577838i	$0.803897\pi$
$108$	0.408355	−	3.47354i	0.0392940	−	0.334241i
$109$		−	16.9364i		−	1.62221i	−0.584897	−	0.811107i	$-0.698865\pi$
$109$		−	16.9364i		−	1.62221i	0.584897	−	0.811107i	$-0.301135\pi$
$110$	−3.05981	+	1.86245i	−0.291742	+	0.177577i
$111$	−12.6165	−	5.67934i	−1.19750	−	0.539059i
$112$	−0.775936	+	1.74278i	−0.0733191	+	0.164677i
$113$	5.94960	+	5.35705i	0.559691	+	0.503948i	0.899721	−	0.436466i	$-0.143770\pi$
$113$	5.94960	+	5.35705i	0.559691	+	0.503948i	−0.340029	+	0.940415i	$0.610437\pi$
$114$	−13.1813	+	4.22319i	−1.23455	+	0.395538i
$115$	−2.02703	+	0.902493i	−0.189022	+	0.0841579i
$116$	−1.97141	−	1.43232i	−0.183041	−	0.132987i
$117$	−2.10284	+	2.84493i	−0.194407	+	0.263014i
$118$	9.52681	−	3.09545i	0.877014	−	0.284959i
$119$	2.68734	−	0.282451i	0.246348	−	0.0258922i
$120$	4.97517	−	0.502289i	0.454169	−	0.0458525i
$121$	−5.05264	+	9.77092i	−0.459331	+	0.888265i
$122$	−13.5365	+	7.81528i	−1.22553	+	0.707562i
$123$	−4.15706	−	4.65514i	−0.374829	−	0.419740i
$124$	−4.18018	−	0.888525i	−0.375392	−	0.0797919i
$125$	8.13317	+	2.64263i	0.727453	+	0.236364i
$126$	−1.74081	−	2.43782i	−0.155084	−	0.217179i
$127$	−3.73492	+	5.14068i	−0.331421	+	0.456161i	−0.941911	−	0.335862i	$-0.890972\pi$
$127$	−3.73492	+	5.14068i	−0.331421	+	0.456161i	0.610490	+	0.792024i	$0.290972\pi$
$128$	−1.76081	−	1.95558i	−0.155635	−	0.172850i
$129$	3.92242	−	5.35245i	0.345350	−	0.471257i
$130$	−1.16351	−	0.518029i	−0.102047	−	0.0454341i
$131$	8.68698	+	15.0463i	0.758985	+	1.31460i	0.943369	+	0.331746i	$0.107638\pi$
$131$	8.68698	+	15.0463i	0.758985	+	1.31460i	−0.184384	+	0.982854i	$0.559029\pi$
$132$	3.08421	−	2.33198i	0.268446	−	0.202973i
$133$	3.00679	−	5.20791i	0.260721	−	0.451583i
$134$	6.19073	−	4.49783i	0.534798	−	0.388553i
$135$	−2.03619	+	4.42597i	−0.175247	+	0.380927i
$136$	−2.96612	+	9.12878i	−0.254343	+	0.782787i
$137$	7.19951	+	16.1704i	0.615096	+	1.38153i	0.905386	+	0.424589i	$0.139581\pi$
$137$	7.19951	+	16.1704i	0.615096	+	1.38153i	−0.290290	+	0.956939i	$0.593752\pi$
$138$	−4.09875	+	2.34405i	−0.348909	+	0.199539i
$139$	1.28467	+	6.04390i	0.108964	+	0.512637i	0.998449	+	0.0556722i	$0.0177302\pi$
$139$	1.28467	+	6.04390i	0.108964	+	0.512637i	−0.889485	+	0.456965i	$0.848936\pi$
$140$	−0.366044	+	0.406533i	−0.0309363	+	0.0343583i
$141$	0.263487	+	0.0868085i	0.0221896	+	0.00731060i
$142$	−11.0990	−	6.40800i	−0.931407	−	0.537748i
$143$	−3.87917	+	0.498862i	−0.324392	+	0.0417170i
$144$	6.46911	−	1.31968i	0.539093	−	0.109974i
$145$	1.99518	+	2.74614i	0.165691	+	0.228054i
$146$	−0.830477	+	3.90709i	−0.0687308	+	0.323353i
$147$	−10.5771	−	2.29361i	−0.872382	−	0.189174i
$148$	−0.562018	+	5.34724i	−0.0461976	+	0.439541i
$149$	−0.771598	+	7.34127i	−0.0632118	+	0.601420i	0.916364	+	0.400346i	$0.131110\pi$
$149$	−0.771598	+	7.34127i	−0.0632118	+	0.601420i	−0.979576	+	0.201074i	$0.935557\pi$
$150$	8.03522	+	1.74241i	0.656073	+	0.142268i
$151$	2.80349	−	13.1894i	0.228145	−	1.07334i	−0.703704	−	0.710493i	$-0.748472\pi$
$151$	2.80349	−	13.1894i	0.228145	−	1.07334i	0.931849	−	0.362845i	$-0.118195\pi$
$152$	12.5560	+	17.2818i	1.01842	+	1.40174i
$153$	−6.20033	−	7.00081i	−0.501267	−	0.565982i
$154$	0.613283	−	3.25444i	0.0494198	−	0.262250i
$155$	5.15544	+	2.97650i	0.414095	+	0.239078i
$156$	1.30575	+	0.430192i	0.104543	+	0.0344429i
$157$	−1.96206	+	2.17909i	−0.156590	+	0.173910i	−0.816335	−	0.577579i	$-0.803998\pi$
$157$	−1.96206	+	2.17909i	−0.156590	+	0.173910i	0.659745	+	0.751489i	$0.270664\pi$
$158$	−1.80768	−	8.50445i	−0.143811	−	0.676578i
$159$	14.6105	−	8.35565i	1.15869	−	0.662646i
$160$	−1.38173	−	3.10343i	−0.109236	−	0.245347i
$161$	0.633918	−	1.95100i	0.0499598	−	0.153760i
$162$	−3.36498	+	9.80596i	−0.264378	+	0.770429i
$163$	17.8134	−	12.9422i	1.39525	−	1.01371i	0.399985	−	0.916522i	$-0.369015\pi$
$163$	17.8134	−	12.9422i	1.39525	−	1.01371i	0.995266	−	0.0971873i	$-0.0309846\pi$
$164$	−1.21267	+	2.10040i	−0.0946935	+	0.164014i
$165$	−5.08978	+	1.76180i	−0.396239	+	0.137156i
$166$	8.31055	+	14.3943i	0.645024	+	1.11721i
$167$	−0.588990	−	0.262235i	−0.0455774	−	0.0202924i	0.383821	−	0.923407i	$-0.374608\pi$
$167$	−0.588990	−	0.262235i	−0.0455774	−	0.0202924i	−0.429399	+	0.903115i	$0.641275\pi$
$168$	−2.73269	+	3.72897i	−0.210832	+	0.287696i
$169$	7.76819	+	8.62745i	0.597553	+	0.663650i
$170$	1.97892	−	2.72374i	0.151776	−	0.208902i
$171$	−20.7153	+	2.00561i	−1.58414	+	0.153372i
$172$	−2.45251	−	0.796869i	−0.187002	−	0.0607607i
$173$	−13.1988	−	2.80550i	−1.00349	−	0.213298i	−0.323269	−	0.946307i	$-0.604782\pi$
$173$	−13.1988	−	2.80550i	−1.00349	−	0.213298i	−0.680219	+	0.733009i	$0.738115\pi$
$174$	4.81122	+	5.38768i	0.364738	+	0.408439i
$175$	−3.09357	+	1.78607i	−0.233852	+	0.135015i
$176$	6.00300	+	4.15233i	0.452493	+	0.312994i
$177$	14.9857	−	1.51295i	1.12640	−	0.113720i
$178$	10.6373	−	1.11803i	0.797301	−	0.0837997i
$179$	1.06341	−	0.345524i	0.0794832	−	0.0258256i	−0.269005	−	0.963139i	$-0.586695\pi$
$179$	1.06341	−	0.345524i	0.0794832	−	0.0258256i	0.348489	+	0.937313i	$0.386695\pi$
$180$	1.88119	+	0.213337i	0.140216	+	0.0159012i
$181$	−18.7897	−	13.6515i	−1.39663	−	1.01471i	−0.995101	−	0.0988656i	$-0.968479\pi$
$181$	−18.7897	−	13.6515i	−1.39663	−	1.01471i	−0.401530	−	0.915846i	$-0.631521\pi$
$182$	1.07570	−	0.478933i	0.0797362	−	0.0355009i
$183$	−22.3818	+	7.17093i	−1.65451	+	0.530090i
$184$	5.41530	+	4.87596i	0.399222	+	0.359461i
$185$	3.04630	−	6.84211i	0.223969	−	0.503042i
$186$	11.5514	+	5.19989i	0.846990	+	0.381274i
$187$	0.842101	−	10.3044i	0.0615805	−	0.753533i
$188$		−	0.107807i		−	0.00786262i
$189$	−1.78125	−	4.13702i	−0.129567	−	0.300924i
$190$	−2.31534	−	7.12590i	−0.167973	−	0.516967i
$191$	−2.22298	+	2.00158i	−0.160849	+	0.144829i	−0.745625	−	0.666365i	$-0.767849\pi$
$191$	−2.22298	+	2.00158i	−0.160849	+	0.144829i	0.584776	+	0.811195i	$0.301182\pi$
$192$	−7.37354	−	12.8932i	−0.532140	−	0.930486i
$193$	−9.83585	−	1.03379i	−0.708000	−	0.0744138i	−0.256318	−	0.966593i	$-0.582509\pi$
$193$	−9.83585	−	1.03379i	−0.708000	−	0.0744138i	−0.451682	+	0.892179i	$0.649176\pi$
$194$	−13.7270	+	2.91777i	−0.985543	+	0.209484i
$195$	−1.54468	−	1.13198i	−0.110617	−	0.0810630i
$196$	0.439631	+	4.18281i	0.0314022	+	0.298772i
$197$	−4.94568			−0.352365			−0.176183	−	0.984357i	$-0.556375\pi$
$197$	−4.94568			−0.352365			−0.176183	+	0.984357i	$0.556375\pi$
$198$	−10.3996	+	4.81806i	−0.739064	+	0.342404i
$199$	−7.64868			−0.542200			−0.271100	−	0.962551i	$-0.587387\pi$
$199$	−7.64868			−0.542200			−0.271100	+	0.962551i	$0.587387\pi$
$200$	−1.32636	−	12.6195i	−0.0937881	−	0.892334i
$201$	10.5303	−	4.63675i	0.742753	−	0.327051i
$202$	6.82608	−	1.45093i	0.480282	−	0.102087i
$203$	−3.12104	−	0.328035i	−0.219054	−	0.0230235i
$204$	−1.82997	+	3.13979i	−0.128124	+	0.219830i
$205$	2.51067	−	2.26062i	0.175353	−	0.157888i
$206$	1.41978	+	4.36965i	0.0989211	+	0.304448i
$207$	−6.76993	+	2.13845i	−0.470543	+	0.148632i
$208$			2.59526i			0.179949i
$209$	−17.4511	−	14.9954i	−1.20712	−	1.03726i
$210$	1.31577	−	0.947740i	0.0907966	−	0.0654003i
$211$	9.56038	−	21.4730i	0.658163	−	1.47826i	−0.207810	−	0.978169i	$-0.566634\pi$
$211$	9.56038	−	21.4730i	0.658163	−	1.47826i	0.865973	−	0.500090i	$-0.166700\pi$
$212$	−4.86064	−	4.37654i	−0.333830	−	0.300582i
$213$	−14.2677	−	12.9531i	−0.977609	−	0.887531i
$214$	−6.47357	+	2.88222i	−0.442524	+	0.197024i
$215$	2.90607	+	2.11139i	0.198193	+	0.143995i
$216$	15.9986	+	0.196869i	1.08857	+	0.0133952i
$217$	−5.23434	+	1.70074i	−0.355330	+	0.115454i
$218$	19.4025	−	2.03928i	1.31410	−	0.138118i
$219$	−2.46536	+	5.47672i	−0.166594	+	0.370083i
$220$	1.26919	+	1.66436i	0.0855686	+	0.112211i
$221$	3.18352	−	1.83800i	0.214146	−	0.123638i
$222$	4.98716	−	15.1374i	0.334716	−	1.01595i
$223$	20.4423	+	4.34515i	1.36892	+	0.290973i	0.832989	−	0.553290i	$-0.186628\pi$
$223$	20.4423	+	4.34515i	1.36892	+	0.290973i	0.535930	+	0.844263i	$0.319961\pi$
$224$	2.98702	+	0.970542i	0.199579	+	0.0648470i
$225$	11.2523	+	5.12086i	0.750154	+	0.341391i
$226$	−5.42069	+	7.46094i	−0.360579	+	0.496294i
$227$	7.94758	+	8.82668i	0.527499	+	0.585847i	0.946728	−	0.322033i	$-0.104366\pi$
$227$	7.94758	+	8.82668i	0.527499	+	0.585847i	−0.419229	+	0.907881i	$0.637700\pi$
$228$	3.25926	+	7.40196i	0.215849	+	0.490207i
$229$	8.95362	+	3.98641i	0.591672	+	0.263429i	0.680655	−	0.732604i	$-0.261695\pi$
$229$	8.95362	+	3.98641i	0.591672	+	0.263429i	−0.0889834	+	0.996033i	$0.528362\pi$
$230$	−1.27797	−	2.21351i	−0.0842670	−	0.145955i
$231$	1.93823	−	4.58688i	0.127526	−	0.301795i
$232$	5.57383	−	9.65415i	0.365940	−	0.633826i
$233$	−12.6222	+	9.17056i	−0.826907	+	0.600783i	−0.918683	−	0.394997i	$-0.870746\pi$
$233$	−12.6222	+	9.17056i	−0.826907	+	0.600783i	0.0917755	+	0.995780i	$0.470746\pi$
$234$	−3.51238	−	2.06647i	−0.229611	−	0.135089i
$235$	−0.0464058	+	0.142823i	−0.00302718	+	0.00931671i
$236$	−2.38070	−	5.34713i	−0.154970	−	0.348068i
$237$	0.0536204	−	13.0731i	0.00348302	−	0.849187i
$238$	0.647155	+	3.04462i	0.0419488	+	0.197354i
$239$	20.0566	−	22.2751i	1.29736	−	1.44086i	0.466343	−	0.884604i	$-0.345571\pi$
$239$	20.0566	−	22.2751i	1.29736	−	1.44086i	0.831012	−	0.556255i	$-0.187762\pi$
$240$	0.728729	+	3.49890i	0.0470392	+	0.225853i
$241$	1.64353	+	0.948892i	0.105869	+	0.0611235i	0.552000	−	0.833844i	$-0.313865\pi$
$241$	1.64353	+	0.948892i	0.105869	+	0.0611235i	−0.446131	+	0.894968i	$0.647198\pi$
$242$	−11.8020	−	4.61184i	−0.758662	−	0.296460i
$243$	−8.06943	+	13.3373i	−0.517654	+	0.855590i
$244$	5.36837	+	7.38893i	0.343675	+	0.473028i
$245$	1.21808	−	5.73063i	0.0778205	−	0.366116i
$246$	4.83242	−	5.32287i	0.308104	−	0.339374i
$247$	0.855136	−	8.13608i	0.0544110	−	0.517686i
$248$	2.04357	−	19.4432i	0.129767	−	1.23465i
$249$	7.62537	+	23.8002i	0.483238	+	1.50828i
$250$	−2.04811	+	9.63561i	−0.129534	+	0.609410i
$251$	1.59530	+	2.19574i	0.100694	+	0.138594i	0.856391	−	0.516328i	$-0.172701\pi$
$251$	1.59530	+	2.19574i	0.100694	+	0.138594i	−0.755696	+	0.654922i	$0.772701\pi$
$252$	−1.31034	+	1.16051i	−0.0825434	+	0.0731053i
$253$	−6.88652	−	3.76588i	−0.432952	−	0.236759i
$254$	−6.33891	−	3.65977i	−0.397739	−	0.229635i
$255$	3.77589	−	3.37188i	0.236455	−	0.211156i
$256$	−9.44758	+	10.4926i	−0.590474	+	0.655788i
$257$	−1.77181	−	8.33571i	−0.110522	−	0.519967i	−0.998225	−	0.0595505i	$-0.981033\pi$
$257$	−1.77181	−	8.33571i	−0.110522	−	0.519967i	0.887703	−	0.460417i	$-0.152300\pi$
$258$	6.60409	+	3.84908i	0.411153	+	0.239633i
$259$	2.81640	+	6.32573i	0.175002	+	0.393062i
$260$	−0.229971	+	0.707777i	−0.0142622	+	0.0438945i
$261$	5.35317	+	9.45015i	0.331353	+	0.584949i
$262$	−16.1911	+	11.7636i	−1.00029	+	0.726755i
$263$	−11.9263	+	20.6569i	−0.735407	+	1.27376i	0.219138	+	0.975694i	$0.429676\pi$
$263$	−11.9263	+	20.6569i	−0.735407	+	1.27376i	−0.954545	+	0.298068i	$0.903658\pi$
$264$	12.0845	+	12.9170i	0.743751	+	0.794984i
$265$	4.55549	+	7.89033i	0.279841	+	0.484699i
$266$	6.32825	+	2.81752i	0.388010	+	0.172753i
$267$	15.9875	+	1.74668i	0.978419	+	0.106895i
$268$	−2.99188	−	3.32282i	−0.182758	−	0.202974i
$269$	14.1414	−	19.4640i	0.862219	−	1.18674i	−0.118817	−	0.992916i	$-0.537910\pi$
$269$	14.1414	−	19.4640i	0.862219	−	1.18674i	0.981036	−	0.193826i	$-0.0620898\pi$
$270$	−5.31560	−	1.79975i	−0.323497	−	0.109529i
$271$	12.2868	+	3.99222i	0.746370	+	0.242510i	0.657418	−	0.753526i	$-0.271648\pi$
$271$	12.2868	+	3.99222i	0.746370	+	0.242510i	0.0889514	+	0.996036i	$0.471648\pi$
$272$	−6.71048	−	1.42636i	−0.406883	−	0.0864856i
$273$	1.73332	−	0.361005i	0.104906	−	0.0218490i
$274$	−17.6580	+	10.1949i	−1.06676	+	0.615894i
$275$	4.52363	+	12.8972i	0.272785	+	0.777731i
$276$	1.61251	+	2.23868i	0.0970618	+	0.134753i
$277$	−6.63747	+	0.697626i	−0.398807	+	0.0419163i	−0.301809	−	0.953368i	$-0.597591\pi$
$277$	−6.63747	+	0.697626i	−0.398807	+	0.0419163i	−0.0969976	+	0.995285i	$0.530924\pi$
$278$	−6.76925	+	2.19946i	−0.405993	+	0.131915i
$279$	15.3175	+	11.3220i	0.917035	+	0.677828i
$280$	−2.02462	−	1.47097i	−0.120994	−	0.0879073i
$281$	0.560682	−	0.249632i	0.0334475	−	0.0148918i	−0.389945	−	0.920838i	$-0.627506\pi$
$281$	0.560682	−	0.249632i	0.0334475	−	0.0148918i	0.423392	+	0.905946i	$0.360839\pi$
$282$	−0.0677225	+	0.312305i	−0.00403282	+	0.0185975i
$283$	−14.0498	−	12.6505i	−0.835176	−	0.751995i	0.135912	−	0.990721i	$-0.456604\pi$
$283$	−14.0498	−	12.6505i	−0.835176	−	0.751995i	−0.971087	+	0.238726i	$0.923270\pi$
$284$	−3.04590	+	6.84120i	−0.180741	+	0.405951i
$285$	−1.13166	−	11.2091i	−0.0670337	−	0.663969i
$286$	−1.03858	−	4.38394i	−0.0614128	−	0.259228i
$287$			3.12347i			0.184372i
$288$	−3.27401	−	10.3649i	−0.192923	−	0.610757i
$289$	−2.25049	−	6.92628i	−0.132381	−	0.407428i
$290$	−2.90576	+	2.61635i	−0.170632	+	0.153638i
$291$	−21.1012	−	0.0865487i	−1.23698	−	0.00507357i
$292$	2.32120	+	0.243968i	0.135838	+	0.0142771i
$293$	−2.05683	+	0.437193i	−0.120161	+	0.0255411i	−0.267600	−	0.963530i	$-0.586231\pi$
$293$	−2.05683	+	0.437193i	−0.120161	+	0.0255411i	0.147438	+	0.989071i	$0.452897\pi$
$294$	1.35401	−	12.3933i	0.0789673	−	0.722794i
$295$	0.852255	+	8.10866i	0.0496202	+	0.472105i
$296$	−24.5968			−1.42966
$297$	−16.8171	+	3.76617i	−0.975829	+	0.218535i
$298$	−8.50312			−0.492572
$299$	−0.291712	−	2.77545i	−0.0168701	−	0.160509i
$300$	0.521773	−	4.77583i	0.0301246	−	0.275733i
$301$	−3.24843	+	0.690476i	−0.187237	+	0.0397984i
$302$	15.4474	+	1.62359i	0.888900	+	0.0934272i
$303$	10.4931	+	0.0430383i	0.602812	+	0.00247249i
$304$	−11.3461	+	10.2161i	−0.650744	+	0.585933i
$305$	−3.93143	−	12.0997i	−0.225113	−	0.692827i
$306$	7.27361	−	7.94610i	0.415805	−	0.454248i
$307$			17.6110i			1.00511i	0.864545	+	0.502556i	$0.167607\pi$
$307$			17.6110i			1.00511i	−0.864545	+	0.502556i	$0.832393\pi$
$308$	−1.92867	−	0.157615i	−0.109896	−	0.00898096i
$309$	0.693942	+	6.87349i	0.0394770	+	0.391019i
$310$	−2.78914	+	6.26450i	−0.158412	+	0.355800i
$311$	−8.17812	−	7.36361i	−0.463739	−	0.417552i	0.403857	−	0.914822i	$-0.367669\pi$
$311$	−8.17812	−	7.36361i	−0.463739	−	0.417552i	−0.867596	+	0.497270i	$0.834336\pi$
$312$	−1.33283	+	6.14640i	−0.0754567	+	0.347972i
$313$	−3.56418	+	1.58687i	−0.201459	+	0.0896954i	−0.504986	−	0.863127i	$-0.668502\pi$
$313$	−3.56418	+	1.58687i	−0.201459	+	0.0896954i	0.303527	+	0.952823i	$0.401836\pi$
$314$	−2.73263	−	1.98537i	−0.154211	−	0.112041i
$315$	2.23548	−	0.973407i	0.125955	−	0.0548453i
$316$	−4.83167	+	1.56991i	−0.271803	+	0.0883141i
$317$	−21.4837	+	2.25803i	−1.20665	+	0.126824i	−0.686421	−	0.727204i	$-0.740819\pi$
$317$	−21.4837	+	2.25803i	−1.20665	+	0.126824i	−0.520227	+	0.854028i	$0.674153\pi$
$318$	11.3315	+	15.7318i	0.635439	+	0.882194i
$319$	−3.44480	+	11.5026i	−0.192872	+	0.644019i
$320$	6.96292	−	4.02004i	0.389239	−	0.224727i
$321$	−10.4311	+	2.17253i	−0.582210	+	0.121259i
$322$	2.31141	+	0.491305i	0.128810	+	0.0273794i
$323$	20.5672	+	6.68269i	1.14439	+	0.371835i
$324$	5.90394	+	1.35652i	0.327997	+	0.0753624i
$325$	−2.85638	+	3.93148i	−0.158444	+	0.218079i
$326$	16.9715	+	18.8488i	0.939965	+	1.04394i
$327$	29.1612	+	3.18595i	1.61262	+	0.176183i
$328$	−10.1360	−	4.51283i	−0.559666	−	0.249179i
$329$	−0.0694194	−	0.120238i	−0.00382722	−	0.00662893i
$330$	−2.63118	−	5.61875i	−0.144842	−	0.309302i
$331$	3.42603	−	5.93405i	0.188311	−	0.326165i	−0.756376	−	0.654137i	$-0.773032\pi$
$331$	3.42603	−	5.93405i	0.188311	−	0.326165i	0.944687	+	0.327972i	$0.106365\pi$
$332$	7.85719	−	5.70858i	0.431219	−	0.313299i
$333$	12.1520	−	20.6548i	0.665927	−	1.13187i
$334$	0.229499	−	0.706326i	0.0125576	−	0.0386485i
$335$	2.53333	+	5.68995i	0.138411	+	0.310875i
$336$	−2.85477	−	1.66385i	−0.155740	−	0.0907705i
$337$	−0.153680	−	0.723009i	−0.00837150	−	0.0393848i	0.973764	−	0.227562i	$-0.0730754\pi$
$337$	−0.153680	−	0.723009i	−0.00837150	−	0.0393848i	−0.982135	+	0.188177i	$0.939742\pi$
$338$	−8.94831	+	9.93811i	−0.486724	+	0.540562i
$339$	−10.3430	+	9.23633i	−0.561754	+	0.501649i
$340$	−1.70368	−	0.983622i	−0.0923952	−	0.0533444i
$341$	2.68594	+	20.8860i	0.145452	+	1.13104i
$342$	−4.79193	−	23.4901i	−0.259118	−	1.27020i
$343$	6.75032	+	9.29102i	0.364483	+	0.501668i
$344$	2.45272	−	11.5391i	0.132242	−	0.622147i
$345$	−1.17261	−	3.65992i	−0.0631310	−	0.197044i
$346$	1.62475	−	15.4585i	0.0873472	−	0.831053i
$347$	−1.24436	+	11.8393i	−0.0668008	+	0.635567i	0.908984	+	0.416832i	$0.136860\pi$
$347$	−1.24436	+	11.8393i	−0.0668008	+	0.635567i	−0.975784	+	0.218735i	$0.929807\pi$
$348$	2.83702	−	3.12495i	0.152080	−	0.167515i
$349$	−2.11800	+	9.96440i	−0.113374	+	0.533382i	0.884402	+	0.466726i	$0.154566\pi$
$349$	−2.11800	+	9.96440i	−0.113374	+	0.533382i	−0.997776	+	0.0666564i	$0.978767\pi$
$350$	−2.41863	−	3.32896i	−0.129281	−	0.177940i
$351$	−4.50285	−	4.15584i	−0.240345	−	0.221822i
$352$	5.76564	−	10.5434i	0.307310	−	0.561965i
$353$	27.2712	+	15.7451i	1.45150	+	0.838025i	0.998567	−	0.0535191i	$-0.0170438\pi$
$353$	27.2712	+	15.7451i	1.45150	+	0.838025i	0.452935	+	0.891544i	$0.350377\pi$
$354$	3.53765	+	16.9856i	0.188024	+	0.902774i
$355$	6.98003	−	7.75211i	0.370462	−	0.411439i
$356$	−1.29941	−	6.11324i	−0.0688686	−	0.324001i
$357$	−0.0191963	+	4.68021i	−0.00101598	+	0.247703i
$358$	0.523878	+	1.17665i	0.0276878	+	0.0621878i
$359$	8.57599	−	26.3942i	0.452624	−	1.39303i	−0.421279	−	0.906931i	$-0.638419\pi$
$359$	8.57599	−	26.3942i	0.452624	−	1.39303i	0.873903	−	0.486101i	$-0.161581\pi$
$360$	−0.0710471	+	8.66076i	−0.00374451	+	0.456462i
$361$	23.5646	−	17.1207i	1.24024	−	0.901090i
$362$	13.3769	−	23.1694i	0.703073	−	1.21776i
$363$	−15.8732	−	10.5377i	−0.833125	−	0.553085i
$364$	−0.344018	−	0.595856i	−0.0180314	−	0.0312313i
$365$	−2.97011	−	1.32238i	−0.155463	−	0.0692165i
$366$	−10.9100	−	24.7773i	−0.570276	−	1.29513i
$367$	−11.2990	−	12.5488i	−0.589800	−	0.655040i	0.372179	−	0.928161i	$-0.378611\pi$
$367$	−11.2990	−	12.5488i	−0.589800	−	0.655040i	−0.961980	+	0.273121i	$0.911944\pi$
$368$	−3.06133	+	4.21357i	−0.159583	+	0.219647i
$369$	8.79724	−	6.28196i	0.457966	−	0.327026i
$370$	8.20517	+	2.66602i	0.426567	+	0.138600i
$371$	−8.23929	−	1.75131i	−0.427762	−	0.0909237i
$372$	2.31621	−	7.03032i	0.120090	−	0.364505i
$373$	5.20412	−	3.00460i	0.269459	−	0.155572i	−0.359183	−	0.933267i	$-0.616944\pi$
$373$	5.20412	−	3.00460i	0.269459	−	0.155572i	0.628642	+	0.777695i	$0.283611\pi$
$374$	11.9062	−	0.276019i	0.615655	−	0.0142726i
$375$	−6.08004	+	13.5066i	−0.313972	+	0.697479i
$376$	0.490483	−	0.0515518i	0.0252947	−	0.00265858i
$377$	−4.06031	+	1.31928i	−0.209117	+	0.0679462i
$378$	4.52492	−	2.53875i	0.232737	−	0.130579i
$379$	−6.88315	−	5.00090i	−0.353563	−	0.256879i	0.396799	−	0.917906i	$-0.370121\pi$
$379$	−6.88315	−	5.00090i	−0.353563	−	0.256879i	−0.750362	+	0.661027i	$0.770121\pi$
$380$	−3.99957	+	1.78072i	−0.205173	+	0.0913491i
$381$	−8.14866	−	7.39783i	−0.417469	−	0.379002i
$382$	−2.56069	−	2.30566i	−0.131016	−	0.117968i
$383$	−4.11794	+	9.24903i	−0.210417	+	0.472604i	−0.987663	−	0.156592i	$-0.949949\pi$
$383$	−4.11794	+	9.24903i	−0.210417	+	0.472604i	0.777247	+	0.629196i	$0.216616\pi$
$384$	3.69836	−	2.66390i	0.188731	−	0.135942i
$385$	2.48726	+	1.03901i	0.126762	+	0.0529530i
$386$		−	11.3925i		−	0.579863i
$387$	8.47802	+	7.76051i	0.430962	+	0.394489i
$388$	2.53398	+	7.79880i	0.128644	+	0.395924i
$389$	−6.93488	+	6.24419i	−0.351612	+	0.316593i	−0.825943	−	0.563754i	$-0.809357\pi$
$389$	−6.93488	+	6.24419i	−0.351612	+	0.316593i	0.474331	+	0.880347i	$0.342690\pi$
$390$	1.11082	−	1.90589i	0.0562483	−	0.0965087i
$391$	7.33672	+	0.771120i	0.371034	+	0.0389972i
$392$	−18.8201	+	4.00033i	−0.950557	+	0.202047i
$393$	−27.5409	+	12.1269i	−1.38925	+	0.611721i
$394$	−0.595501	−	5.66581i	−0.0300009	−	0.285439i
$395$	7.07678			0.356071
$396$	3.43504	+	5.74909i	0.172617	+	0.288902i
$397$	10.3328			0.518587			0.259294	−	0.965799i	$-0.416510\pi$
$397$	10.3328			0.518587			0.259294	+	0.965799i	$0.416510\pi$
$398$	−0.920963	−	8.76238i	−0.0461637	−	0.439218i
$399$	8.40139	+	6.15677i	0.420595	+	0.308224i
$400$	8.87105	−	1.88560i	0.443553	−	0.0942800i
$401$	−14.7518	−	1.55048i	−0.736671	−	0.0774273i	−0.271241	−	0.962512i	$-0.587434\pi$
$401$	−14.7518	−	1.55048i	−0.736671	−	0.0774273i	−0.465431	+	0.885084i	$0.654101\pi$
$402$	6.57983	+	11.5053i	0.328172	+	0.573834i
$403$	−5.56414	+	5.00997i	−0.277169	+	0.249564i
$404$	−1.26008	−	3.87814i	−0.0626915	−	0.192944i
$405$	−7.23763	−	4.33850i	−0.359641	−	0.215582i
$406$		−	3.61498i		−	0.179409i
$407$	25.7800	−	6.10747i	1.27787	−	0.302736i
$408$	−15.1600	−	6.82432i	−0.750533	−	0.337854i
$409$	3.55322	−	7.98066i	0.175695	−	0.394618i	−0.804136	−	0.594446i	$-0.797371\pi$
$409$	3.55322	−	7.98066i	0.175695	−	0.394618i	0.979831	+	0.199827i	$0.0640381\pi$
$410$	2.89209	+	2.60405i	0.142830	+	0.128605i
$411$	−29.1965	+	9.35431i	−1.44016	+	0.461414i
$412$	2.45256	−	1.09195i	0.120829	−	0.0537965i
$413$	−6.09836	−	4.43072i	−0.300081	−	0.218021i
$414$	−3.26498	−	7.49819i	−0.160465	−	0.368516i
$415$	−12.8665	+	4.18058i	−0.631591	+	0.205216i
$416$	4.24927	−	0.446616i	0.208338	−	0.0218972i
$417$	−10.6481	+	1.07502i	−0.521439	+	0.0526440i
$418$	15.0776	−	21.7976i	0.737471	−	1.06616i
$419$	−30.4601	+	17.5861i	−1.48807	+	0.859139i	−0.999907	−	0.0136128i	$-0.995667\pi$
$419$	−30.4601	+	17.5861i	−1.48807	+	0.859139i	−0.488165	+	0.872752i	$0.662333\pi$
$420$	−0.631113	−	0.706729i	−0.0307951	−	0.0344849i
$421$	1.56053	+	0.331701i	0.0760557	+	0.0161661i	0.245782	−	0.969325i	$-0.420955\pi$
$421$	1.56053	+	0.331701i	0.0760557	+	0.0161661i	−0.169727	+	0.985491i	$0.554288\pi$
$422$	25.7507	+	8.36692i	1.25353	+	0.407295i
$423$	−0.199033	+	0.437344i	−0.00967729	+	0.0212644i
$424$	17.5874	−	24.2070i	0.854121	−	1.17560i
$425$	−8.59561	−	9.54640i	−0.416949	−	0.463068i
$426$	13.1212	−	17.9049i	0.635724	−	0.867494i
$427$	10.7453	+	4.78412i	0.520002	+	0.231520i
$428$	2.07030	+	3.58586i	0.100072	+	0.173329i
$429$	−0.129225	−	6.77302i	−0.00623903	−	0.327004i
$430$	−2.06890	+	3.58345i	−0.0997714	+	0.172809i
$431$	−23.8660	+	17.3397i	−1.14959	+	0.835223i	−0.988426	−	0.151706i	$-0.951523\pi$
$431$	−23.8660	+	17.3397i	−1.14959	+	0.835223i	−0.161160	+	0.986928i	$0.551523\pi$
$432$	1.05532	+	11.3868i	0.0507740	+	0.547848i
$433$	3.54190	−	10.9008i	0.170213	−	0.523861i	−0.829170	−	0.558997i	$-0.811186\pi$
$433$	3.54190	−	10.9008i	0.170213	−	0.523861i	0.999383	+	0.0351356i	$0.0111863\pi$
$434$	−2.57864	−	5.79172i	−0.123779	−	0.278011i
$435$	−5.10363	+	2.91874i	−0.244700	+	0.139943i
$436$	−2.37013	−	11.1506i	−0.113508	−	0.534015i
$437$	10.9856	−	12.2007i	0.525511	−	0.583639i
$438$	−6.57102	−	2.16489i	−0.313975	−	0.103442i
$439$	2.63084	+	1.51891i	0.125563	+	0.0724938i	0.561466	−	0.827500i	$-0.310238\pi$
$439$	2.63084	+	1.51891i	0.125563	+	0.0724938i	−0.435903	+	0.899994i	$0.643571\pi$
$440$	−6.96532	+	6.57023i	−0.332059	+	0.313223i
$441$	5.93882	−	17.7802i	0.282801	−	0.846676i
$442$	2.48895	+	3.42575i	0.118387	+	0.162946i
$443$	−3.44135	+	16.1903i	−0.163503	+	0.769223i	0.817607	+	0.575776i	$0.195300\pi$
$443$	−3.44135	+	16.1903i	−0.163503	+	0.769223i	−0.981111	+	0.193447i	$0.938033\pi$
$444$	−9.10119	−	1.97357i	−0.431923	−	0.0936614i
$445$	−0.910010	+	8.65817i	−0.0431386	+	0.410436i
$446$	−2.51641	+	23.9420i	−0.119155	+	1.13369i
$447$	−12.4951	−	2.70953i	−0.590997	−	0.128156i
$448$	−1.54547	+	7.27086i	−0.0730165	+	0.343516i
$449$	−0.152765	−	0.210263i	−0.00720943	−	0.00992293i	0.805397	−	0.592736i	$-0.201952\pi$
$449$	−0.152765	−	0.210263i	−0.00720943	−	0.00992293i	−0.812606	+	0.582813i	$0.801952\pi$
$450$	−4.51162	+	13.5073i	−0.212680	+	0.636741i
$451$	11.7441	+	2.21312i	0.553009	+	0.104212i
$452$	4.66676	+	2.69436i	0.219506	+	0.126732i
$453$	22.1822	+	7.30816i	1.04221	+	0.343367i
$454$	−9.15496	+	10.1676i	−0.429663	+	0.477190i
$455$	0.199266	+	0.937475i	0.00934175	+	0.0439495i
$456$	−32.1178	+	18.3680i	−1.50405	+	0.860160i
$457$	−2.21261	−	4.96960i	−0.103501	−	0.232468i	0.854370	−	0.519665i	$-0.173943\pi$
$457$	−2.21261	−	4.96960i	−0.103501	−	0.232468i	−0.957872	+	0.287197i	$0.907277\pi$
$458$	−3.48877	+	10.7373i	−0.163019	+	0.501722i
$459$	13.2204	−	9.35883i	0.617075	−	0.436833i
$460$	−1.20826	+	0.877849i	−0.0563352	+	0.0409299i
$461$	14.6816	−	25.4292i	0.683789	−	1.18436i	−0.290026	−	0.957019i	$-0.593664\pi$
$461$	14.6816	−	25.4292i	0.683789	−	1.18436i	0.973816	−	0.227339i	$-0.0730026\pi$
$462$	5.48814	+	1.66815i	0.255331	+	0.0776095i
$463$	−10.1913	−	17.6519i	−0.473632	−	0.820354i	0.525913	−	0.850539i	$-0.323724\pi$
$463$	−10.1913	−	17.6519i	−0.473632	−	0.820354i	−0.999544	+	0.0301843i	$0.990391\pi$
$464$	7.27874	+	3.24070i	0.337907	+	0.150446i
$465$	−6.09475	+	8.31675i	−0.282637	+	0.385680i
$466$	−12.0257	−	13.3559i	−0.557078	−	0.618698i
$467$	0.293731	−	0.404285i	0.0135922	−	0.0187081i	−0.802167	−	0.597100i	$-0.796320\pi$
$467$	0.293731	−	0.404285i	0.0135922	−	0.0187081i	0.815759	+	0.578392i	$0.196320\pi$
$468$	−0.986334	+	2.16732i	−0.0455933	+	0.100184i
$469$	−5.47653	−	1.77943i	−0.252882	−	0.0821665i
$470$	−0.169206	−	0.0359659i	−0.00780490	−	0.00165898i
$471$	−3.38288	−	3.78820i	−0.155875	−	0.174551i
$472$	23.1891	−	13.3883i	1.06737	−	0.616244i
$473$	0.294496	+	12.7032i	0.0135409	+	0.584094i
$474$	14.9831	−	1.51268i	0.688194	−	0.0694795i
$475$	−28.4318	+	2.98831i	−1.30454	+	0.137113i
$476$	1.72976	−	0.562032i	0.0792833	−	0.0257607i
$477$	11.6384	+	26.7282i	0.532885	+	1.22380i
$478$	27.9335	+	20.2949i	1.27765	+	0.928267i
$479$	9.81779	−	4.37116i	0.448586	−	0.199724i	−0.169994	−	0.985445i	$-0.554375\pi$
$479$	9.81779	−	4.37116i	0.448586	−	0.199724i	0.618580	+	0.785722i	$0.287708\pi$
$480$	5.60342	−	1.79528i	0.255760	−	0.0819432i
$481$	7.00039	+	6.30318i	0.319190	+	0.287400i
$482$	−0.889163	+	1.99709i	−0.0405003	+	0.0909651i
$483$	3.23999	+	1.45849i	0.147425	+	0.0663636i
$484$	−1.95918	+	7.14004i	−0.0890535	+	0.324547i
$485$		−	11.4226i		−	0.518675i
$486$	−16.2510	−	7.63847i	−0.737159	−	0.346488i
$487$	9.43244	+	29.0301i	0.427425	+	1.31548i	0.900653	+	0.434539i	$0.143089\pi$
$487$	9.43244	+	29.0301i	0.427425	+	1.31548i	−0.473228	+	0.880940i	$0.656911\pi$
$488$	−31.0500	+	27.9575i	−1.40557	+	1.26558i
$489$	18.9330	+	33.1057i	0.856179	+	1.49709i
$490$	6.71172	+	0.705430i	0.303204	+	0.0318681i
$491$	24.5241	−	5.21275i	1.10676	−	0.235248i	0.381937	−	0.924188i	$-0.375257\pi$
$491$	24.5241	−	5.21275i	1.10676	−	0.235248i	0.724818	+	0.688940i	$0.241924\pi$
$492$	−3.38837	−	2.48309i	−0.152759	−	0.111946i
$493$	−1.17966	−	11.2237i	−0.0531291	−	0.505490i
$494$	9.42371			0.423993
$495$	−2.07603	−	9.09502i	−0.0933105	−	0.408791i
$496$	13.9732			0.627417
$497$	1.00810	+	9.59139i	0.0452193	+	0.430233i
$498$	−26.3475	+	11.6014i	−1.18066	+	0.519872i
$499$	−4.86170	+	1.03339i	−0.217640	+	0.0462607i	−0.315441	−	0.948945i	$-0.602152\pi$
$499$	−4.86170	+	1.03339i	−0.217640	+	0.0462607i	0.0978013	+	0.995206i	$0.468819\pi$
$500$	5.72452	+	0.601671i	0.256008	+	0.0269075i
$501$	0.562314	−	0.964796i	0.0251223	−	0.0431039i
$502$	−2.32337	+	2.09197i	−0.103697	+	0.0933693i
$503$	11.3085	+	34.8039i	0.504219	+	1.55183i	0.802079	+	0.597218i	$0.203727\pi$
$503$	11.3085	+	34.8039i	0.504219	+	1.55183i	−0.297860	+	0.954610i	$0.596273\pi$
$504$	−5.90650	−	5.40663i	−0.263097	−	0.240830i
$505$			5.68017i			0.252764i
$506$	3.48503	−	8.34269i	0.154928	−	0.370878i
$507$	−16.3161	+	11.7524i	−0.724623	+	0.521942i
$508$	−1.73959	+	3.90718i	−0.0771818	+	0.173353i
$509$	−10.3681	−	9.33549i	−0.459559	−	0.413788i	0.406562	−	0.913623i	$-0.366727\pi$
$509$	−10.3681	−	9.33549i	−0.459559	−	0.413788i	−0.866121	+	0.499835i	$0.833394\pi$
$510$	4.31750	+	3.91968i	0.191182	+	0.173566i
$511$	2.74595	−	1.22258i	0.121474	−	0.0540836i
$512$	−17.4158	−	12.6533i	−0.769677	−	0.559203i
$513$	0.443546	−	36.0451i	0.0195831	−	1.59143i
$514$	9.33611	−	3.03349i	0.411798	−	0.133801i
$515$	−3.71919	+	0.390903i	−0.163887	+	0.0172252i
$516$	1.83340	−	4.07285i	0.0807110	−	0.179297i
$517$	−0.501277	+	0.175820i	−0.0220461	+	0.00773255i
$518$	−6.90769	+	3.98815i	−0.303506	+	0.175229i
$519$	7.31338	−	22.1981i	0.321022	−	0.974387i
$520$	−3.33011	−	0.707836i	−0.146035	−	0.0310407i
$521$	−6.74242	−	2.19075i	−0.295391	−	0.0959783i	0.157573	−	0.987507i	$-0.449633\pi$
$521$	−6.74242	−	2.19075i	−0.295391	−	0.0959783i	−0.452963	+	0.891529i	$0.649633\pi$
$522$	−10.1816	+	7.27050i	−0.445636	+	0.318221i
$523$	7.47929	−	10.2944i	0.327047	−	0.450141i	−0.613556	−	0.789651i	$-0.710261\pi$
$523$	7.47929	−	10.2944i	0.327047	−	0.450141i	0.940602	+	0.339510i	$0.110261\pi$
$524$	7.82493	+	8.69046i	0.341834	+	0.379645i
$525$	−2.49333	−	5.66251i	−0.108818	−	0.247132i
$526$	−25.1008	−	11.1756i	−1.09445	−	0.487278i
$527$	−9.89606	−	17.1405i	−0.431079	−	0.746651i
$528$	−8.27874	+	9.55489i	−0.360286	+	0.415823i
$529$	−8.69973	+	15.0684i	−0.378249	+	0.655147i
$530$	−8.49070	+	6.16886i	−0.368813	+	0.267958i
$531$	−0.214001	+	26.0871i	−0.00928686	+	1.13209i
$532$	1.25079	−	3.84955i	0.0542288	−	0.166899i
$533$	1.72830	+	3.88182i	0.0748609	+	0.168140i
$534$	−0.0759849	+	18.5257i	−0.00328819	+	0.801686i
$535$	−1.19918	−	5.64172i	−0.0518453	−	0.243913i
$536$	13.6870	−	15.2010i	0.591188	−	0.656581i
$537$	0.394883	+	1.89599i	0.0170405	+	0.0818178i
$538$	24.0009	+	13.8569i	1.03475	+	0.597414i
$539$	18.7321	−	8.86584i	0.806849	−	0.381879i
$540$	−0.721199	+	3.19891i	−0.0310355	+	0.137659i
$541$	2.30481	+	3.17230i	0.0990915	+	0.136388i	0.855684	−	0.517499i	$-0.173137\pi$
$541$	2.30481	+	3.17230i	0.0990915	+	0.136388i	−0.756592	+	0.653887i	$0.773137\pi$
$542$	−3.09409	+	14.5565i	−0.132902	+	0.625257i
$543$	27.0399	−	29.7843i	1.16039	−	1.27816i
$544$	−1.18060	+	11.2327i	−0.0506178	+	0.481596i
$545$	−1.65986	+	15.7925i	−0.0711006	+	0.676477i
$546$	0.622277	+	1.94224i	0.0266310	+	0.0831202i
$547$	2.24588	−	10.5660i	0.0960269	−	0.451771i	−0.903695	−	0.428177i	$-0.859156\pi$
$547$	2.24588	−	10.5660i	0.0960269	−	0.451771i	0.999722	−	0.0235938i	$-0.00751083\pi$
$548$	7.00292	+	9.63869i	0.299150	+	0.411745i
$549$	−8.13665	−	39.8860i	−0.347264	−	1.70229i
$550$	−14.2305	+	6.73523i	−0.606789	+	0.287191i
$551$	−21.7509	−	12.5579i	−0.926618	−	0.534983i
$552$	−9.41414	+	8.40687i	−0.400693	+	0.357820i
$553$	−4.37791	+	4.86217i	−0.186168	+	0.206760i
$554$	−1.59841	−	7.51993i	−0.0679100	−	0.319491i
$555$	11.2077	+	6.53223i	0.475742	+	0.277278i
$556$	1.69160	+	3.79939i	0.0717397	+	0.161130i
$557$	7.06108	−	21.7318i	0.299188	−	0.920805i	−0.682595	−	0.730797i	$-0.739149\pi$
$557$	7.06108	−	21.7318i	0.299188	−	0.920805i	0.981783	−	0.190008i	$-0.0608514\pi$
$558$	−11.1262	+	18.9111i	−0.471008	+	0.800571i
$559$	−3.65507	+	2.65556i	−0.154593	+	0.112318i
$560$	0.894330	−	1.54903i	0.0377924	−	0.0654583i
$561$	17.5838	+	3.38832i	0.742388	+	0.143055i
$562$	0.353491	+	0.612264i	0.0149111	+	0.0258268i
$563$	9.90656	+	4.41068i	0.417512	+	0.185888i	0.604731	−	0.796430i	$-0.293281\pi$
$563$	9.90656	+	4.41068i	0.417512	+	0.185888i	−0.187219	+	0.982318i	$0.559947\pi$
$564$	0.185622	+	0.0202798i	0.00781611	+	0.000853933i
$565$	−5.02274	−	5.57832i	−0.211308	−	0.234682i
$566$	12.8008	−	17.6188i	0.538058	−	0.740574i
$567$	7.45822	−	2.28875i	0.313216	−	0.0961184i
$568$	−32.5816	−	10.5864i	−1.36709	−	0.444195i
$569$	16.4533	+	3.49726i	0.689758	+	0.146613i	0.539439	−	0.842025i	$-0.318636\pi$
$569$	16.4533	+	3.49726i	0.689758	+	0.146613i	0.150320	+	0.988637i	$0.451970\pi$
$570$	12.7050	−	2.64610i	0.532152	−	0.110833i
$571$	14.1246	−	8.15487i	0.591098	−	0.341271i	−0.174434	−	0.984669i	$-0.555809\pi$
$571$	14.1246	−	8.15487i	0.591098	−	0.341271i	0.765532	+	0.643398i	$0.222476\pi$
$572$	−2.48415	+	0.871301i	−0.103867	+	0.0364309i
$573$	−3.02816	−	4.20406i	−0.126503	−	0.175627i
$574$	−3.57827	+	0.376091i	−0.149354	+	0.0156977i
$575$	−9.27503	+	3.01364i	−0.386795	+	0.125677i
$576$	23.5866	−	10.2704i	0.982776	−	0.427935i
$577$	6.51886	+	4.73623i	0.271384	+	0.197172i	0.715150	−	0.698971i	$-0.246358\pi$
$577$	6.51886	+	4.73623i	0.271384	+	0.197172i	−0.443767	+	0.896142i	$0.646358\pi$
$578$	7.66382	−	3.41215i	0.318773	−	0.141927i
$579$	3.63023	−	16.7410i	0.150867	−	0.695730i
$580$	1.69789	+	1.52878i	0.0705009	+	0.0634793i
$581$	5.08730	−	11.4263i	0.211057	−	0.474042i
$582$	−2.44161	−	24.1841i	−0.101208	−	1.00246i
$583$	−12.4228	+	29.7385i	−0.514499	+	1.23164i
$584$			10.6773i			0.441830i
$585$	2.23963	−	2.44669i	0.0925972	−	0.101158i
$586$	−0.748511	−	2.30368i	−0.0309207	−	0.0951642i
$587$	−11.6957	+	10.5309i	−0.482733	+	0.434655i	−0.874221	−	0.485528i	$-0.838627\pi$
$587$	−11.6957	+	10.5309i	−0.482733	+	0.434655i	0.391488	+	0.920183i	$0.371961\pi$
$588$	−7.28468	−	0.0298788i	−0.300415	−	0.00123218i
$589$	−43.8057	−	4.60417i	−1.80498	−	0.189711i
$590$	−9.18672	+	1.95270i	−0.378211	+	0.0803913i
$591$	0.930344	−	8.51550i	0.0382692	−	0.350281i
$592$	−1.83762	−	17.4838i	−0.0755258	−	0.718580i
$593$	22.2880			0.915258			0.457629	−	0.889143i	$-0.348699\pi$
$593$	22.2880			0.915258			0.457629	+	0.889143i	$0.348699\pi$
$594$	−6.33947	−	18.8123i	−0.260112	−	0.771880i
$595$	−2.53351			−0.103864
$596$	0.519352	+	4.94131i	0.0212735	+	0.202404i
$597$	1.43881	−	13.1695i	0.0588866	−	0.538993i
$598$	3.14445	−	0.668374i	0.128586	−	0.0273318i
$599$	−28.4493	−	2.99015i	−1.16241	−	0.122174i	−0.496383	−	0.868104i	$-0.665339\pi$
$599$	−28.4493	−	2.99015i	−1.16241	−	0.122174i	−0.666025	+	0.745930i	$0.732006\pi$
$600$	21.9778	+	0.0901442i	0.897242	+	0.00368012i
$601$	5.29836	−	4.77067i	0.216125	−	0.194600i	−0.553956	−	0.832546i	$-0.686882\pi$
$601$	5.29836	−	4.77067i	0.216125	−	0.194600i	0.770081	+	0.637946i	$0.220216\pi$
$602$	−1.18215	−	3.63829i	−0.0481809	−	0.148286i
$603$	6.00270	+	19.0034i	0.244449	+	0.773879i
$604$		−	9.07594i		−	0.369295i
$605$	5.66898	−	8.61579i	0.230477	−	0.350282i
$606$	1.21415	+	12.0261i	0.0493214	+	0.488528i
$607$	−1.85819	+	4.17355i	−0.0754215	+	0.169399i	−0.947321	−	0.320285i	$-0.896221\pi$
$607$	−1.85819	+	4.17355i	−0.0754215	+	0.169399i	0.871900	+	0.489684i	$0.162888\pi$
$608$	18.6795	+	16.8191i	0.757555	+	0.682106i
$609$	1.15192	−	5.31212i	0.0466781	−	0.215258i
$610$	13.3881	−	5.96078i	0.542070	−	0.241345i
$611$	−0.152805	−	0.111019i	−0.00618182	−	0.00449135i
$612$	−5.06187	−	3.74149i	−0.204614	−	0.151241i
$613$	−37.1400	+	12.0675i	−1.50007	+	0.487402i	−0.940038	−	0.341069i	$-0.889211\pi$
$613$	−37.1400	+	12.0675i	−1.50007	+	0.487402i	−0.560032	+	0.828471i	$0.689211\pi$
$614$	−20.1753	+	2.12051i	−0.814208	+	0.0855767i
$615$	3.42006	+	4.74814i	0.137910	+	0.191463i
$616$	−0.205171	−	8.85013i	−0.00826656	−	0.356582i
$617$	27.0174	−	15.5985i	1.08768	−	0.627972i	0.154722	−	0.987958i	$-0.450552\pi$
$617$	27.0174	−	15.5985i	1.08768	−	0.627972i	0.932958	+	0.359986i	$0.117218\pi$
$618$	−7.79076	+	1.62261i	−0.313390	+	0.0652709i
$619$	−31.5210	−	6.69999i	−1.26693	−	0.269295i	−0.475046	−	0.879961i	$-0.657569\pi$
$619$	−31.5210	−	6.69999i	−1.26693	−	0.269295i	−0.791889	+	0.610665i	$0.790902\pi$
$620$	3.81077	+	1.23819i	0.153044	+	0.0497270i
$621$	−2.40848	−	12.0588i	−0.0966491	−	0.483902i
$622$	7.45109	−	10.2556i	0.298762	−	0.411210i
$623$	−5.38571	−	5.98144i	−0.215774	−	0.239641i
$624$	−4.46854	−	0.488201i	−0.178885	−	0.0195437i
$625$	11.4984	+	5.11940i	0.459935	+	0.204776i
$626$	−2.24709	−	3.89207i	−0.0898117	−	0.155558i
$627$	29.1020	−	27.2265i	1.16222	−	1.08732i
$628$	−0.986830	+	1.70924i	−0.0393788	+	0.0682061i
$629$	−20.1453	+	14.6365i	−0.803248	+	0.583594i
$630$	1.38431	+	2.44378i	0.0551523	+	0.0973624i
$631$	−0.555911	+	1.71092i	−0.0221305	+	0.0681105i	−0.961512	−	0.274764i	$-0.911400\pi$
$631$	−0.555911	+	1.71092i	−0.0221305	+	0.0681105i	0.939381	+	0.342874i	$0.111400\pi$
$632$	−9.45297	−	21.2317i	−0.376019	−	0.844552i
$633$	35.1738	+	20.5004i	1.39803	+	0.814819i
$634$	−5.17364	−	24.3400i	−0.205471	−	0.966667i
$635$	3.98647	−	4.42743i	0.158198	−	0.175697i
$636$	8.44990	−	7.54580i	0.335060	−	0.299210i
$637$	6.38142	+	3.68432i	0.252841	+	0.145978i
$638$	−13.5922	−	2.56138i	−0.538120	−	0.101406i
$639$	24.9866	−	22.1296i	0.988456	−	0.875435i
$640$	1.45023	+	1.99606i	0.0573252	+	0.0789014i
$641$	1.60208	−	7.53719i	0.0632783	−	0.297701i	−0.935116	−	0.354341i	$-0.884705\pi$
$641$	1.60208	−	7.53719i	0.0632783	−	0.297701i	0.998395	+	0.0566398i	$0.0180387\pi$
$642$	−3.74486	−	11.6884i	−0.147798	−	0.461304i
$643$	−2.21750	+	21.0981i	−0.0874496	+	0.832028i	0.859606	+	0.510958i	$0.170709\pi$
$643$	−2.21750	+	21.0981i	−0.0874496	+	0.832028i	−0.947056	+	0.321070i	$0.895958\pi$
$644$	0.144330	−	1.37321i	0.00568740	−	0.0541120i
$645$	−4.18206	+	4.60652i	−0.164669	+	0.181381i
$646$	−5.17928	+	24.3666i	−0.203776	+	0.958690i
$647$	−29.4465	−	40.5296i	−1.15766	−	1.59338i	−0.719511	−	0.694482i	$-0.755634\pi$
$647$	−29.4465	−	40.5296i	−1.15766	−	1.59338i	−0.438150	−	0.898902i	$-0.644366\pi$
$648$	−3.34851	+	27.5095i	−0.131542	+	1.08068i
$649$	−20.9803	+	19.7902i	−0.823548	+	0.776834i
$650$	−4.84786	−	2.79891i	−0.190149	−	0.109782i
$651$	−1.94370	−	9.33245i	−0.0761797	−	0.365768i
$652$	9.91677	−	11.0137i	0.388371	−	0.431329i
$653$	−3.66275	−	17.2319i	−0.143334	−	0.674335i	−0.989867	−	0.141998i	$-0.954647\pi$
$653$	−3.66275	−	17.2319i	−0.143334	−	0.674335i	0.846533	−	0.532337i	$-0.178686\pi$
$654$	−0.138597	+	33.7909i	−0.00541956	+	1.32133i
$655$	−6.62563	−	14.8814i	−0.258885	−	0.581465i
$656$	2.45053	−	7.54197i	0.0956772	−	0.294464i
$657$	−8.96608	−	5.27511i	−0.349800	−	0.205802i
$658$	0.129387	−	0.0940050i	0.00504402	−	0.00366470i
$659$	10.5664	−	18.3016i	0.411609	−	0.712928i	−0.583457	−	0.812144i	$-0.698300\pi$
$659$	10.5664	−	18.3016i	0.411609	−	0.712928i	0.995066	+	0.0992163i	$0.0316336\pi$
$660$	−3.10445	+	1.87221i	−0.120840	+	0.0728756i
$661$	5.51647	+	9.55480i	0.214566	+	0.371639i	0.953138	−	0.302535i	$-0.0978331\pi$
$661$	5.51647	+	9.55480i	0.214566	+	0.371639i	−0.738572	+	0.674174i	$0.764500\pi$
$662$	7.21061	+	3.21037i	0.280248	+	0.124775i
$663$	2.56583	+	5.82715i	0.0996484	+	0.226308i
$664$	29.7292	+	33.0177i	1.15372	+	1.28133i
$665$	−3.31411	+	4.56147i	−0.128515	+	0.176886i
$666$	25.1255	+	11.4344i	0.973592	+	0.443076i
$667$	−8.14837	−	2.64757i	−0.315506	−	0.102514i
$668$	−0.424476	−	0.0902251i	−0.0164235	−	0.00349091i
$669$	−11.3269	+	34.3803i	−0.437925	+	1.32922i
$670$	−6.21341	+	3.58731i	−0.240045	+	0.138590i
$671$	25.6017	−	37.0122i	0.988341	−	1.42884i
$672$	−2.23298	+	4.96050i	−0.0861390	+	0.191355i
$673$	30.9325	−	3.25113i	1.19236	−	0.125322i	0.512515	−	0.858678i	$-0.328714\pi$
$673$	30.9325	−	3.25113i	1.19236	−	0.125322i	0.679844	+	0.733356i	$0.262047\pi$
$674$	0.809780	−	0.263113i	0.0311915	−	0.0101347i
$675$	−10.9338	+	18.4110i	−0.420843	+	0.708639i
$676$	6.32175	+	4.59302i	0.243144	+	0.176655i
$677$	−19.5106	+	8.68666i	−0.749852	+	0.333856i	−0.745830	−	0.666136i	$-0.767947\pi$
$677$	−19.5106	+	8.68666i	−0.749852	+	0.333856i	−0.00402196	+	0.999992i	$0.501280\pi$
$678$	−11.8266	−	10.7369i	−0.454197	−	0.412347i
$679$	7.84802	+	7.06639i	0.301179	+	0.271183i
$680$	3.66046	−	8.22152i	0.140372	−	0.315281i
$681$	−16.6929	+	12.0238i	−0.639672	+	0.460752i
$682$	−23.6037	+	5.59188i	−0.903832	+	0.214124i
$683$		−	17.2570i		−	0.660321i	−0.943925	−	0.330161i	$-0.892897\pi$
$683$		−	17.2570i		−	0.660321i	0.943925	−	0.330161i	$-0.107103\pi$
$684$	−13.3578	+	4.21940i	−0.510750	+	0.161333i
$685$	−5.12846	−	15.7838i	−0.195949	−	0.603068i
$686$	−9.83106	+	8.85193i	−0.375352	+	0.337968i
$687$	−8.54811	+	14.6665i	−0.326131	+	0.559562i
$688$	8.38543	+	0.881344i	0.319691	+	0.0336009i
$689$	−11.2088	+	2.38250i	−0.427020	+	0.0907659i
$690$	4.05164	−	1.78403i	0.154243	−	0.0679169i
$691$	−2.19032	−	20.8395i	−0.0833236	−	0.792771i	−0.953776	−	0.300518i	$-0.902840\pi$
$691$	−2.19032	−	20.8395i	−0.0833236	−	0.792771i	0.870452	−	0.492253i	$-0.163826\pi$
$692$	−9.08243			−0.345262
$693$	7.53311	+	4.20011i	0.286159	+	0.159549i
$694$	−13.7130			−0.520539
$695$	−0.605568	−	5.76159i	−0.0229705	−	0.218550i
$696$	15.5741	+	11.4131i	0.590333	+	0.432613i
$697$	−10.9870	+	2.33535i	−0.416161	+	0.0884578i
$698$	−11.6703	−	1.22660i	−0.441728	−	0.0464275i
$699$	−13.4155	−	23.4580i	−0.507422	−	0.887265i
$700$	−1.78679	+	1.60883i	−0.0675344	+	0.0608082i
$701$	15.1348	+	46.5802i	0.571634	+	1.75931i	0.647364	+	0.762181i	$0.275872\pi$
$701$	15.1348	+	46.5802i	0.571634	+	1.75931i	−0.0757293	+	0.997128i	$0.524128\pi$
$702$	4.21878	−	5.65890i	0.159228	−	0.213581i
$703$			55.4168i			2.09008i
$704$	26.2431	+	10.9626i	0.989074	+	0.413170i
$705$	−0.237183	−	0.106769i	−0.00893283	−	0.00402113i
$706$	−14.7540	+	33.1380i	−0.555273	+	1.24716i
$707$	−3.90261	−	3.51393i	−0.146773	−	0.132155i
$708$	9.65455	−	3.09323i	0.362840	−	0.116251i
$709$	37.9596	−	16.9007i	1.42560	−	0.634719i	0.458404	−	0.888744i	$-0.348421\pi$
$709$	37.9596	−	16.9007i	1.42560	−	0.634719i	0.967198	+	0.254025i	$0.0817546\pi$
$710$	9.72133	+	7.06296i	0.364835	+	0.265068i
$711$	22.4992	+	2.55153i	0.843786	+	0.0956898i
$712$	27.1917	−	8.83513i	1.01905	−	0.331111i
$713$	−14.9434	+	1.57062i	−0.559635	+	0.0588200i
$714$	−5.36399	+	0.541544i	−0.200742	+	0.0202668i
$715$	3.66606	−	0.0849893i	0.137103	−	0.00317842i
$716$	0.651774	−	0.376302i	0.0243579	−	0.0140631i
$717$	34.5806	+	38.7238i	1.29143	+	1.44617i
$718$	31.2700	+	6.64664i	1.16699	+	0.248050i
$719$	−27.4285	−	8.91207i	−1.02291	−	0.332364i	−0.250927	−	0.968006i	$-0.580736\pi$
$719$	−27.4285	−	8.91207i	−1.02291	−	0.332364i	−0.771984	+	0.635642i	$0.780736\pi$
$720$	−6.16151	+	0.596542i	−0.229626	+	0.0222318i
$721$	2.03223	−	2.79713i	0.0756843	−	0.104170i
$722$	22.4510	+	24.9343i	0.835539	+	0.927960i
$723$	−1.94298	+	2.65134i	−0.0722600	+	0.0986044i
$724$	−14.2812	−	6.35839i	−0.530756	−	0.236308i
$725$	7.45956	+	12.9203i	0.277041	+	0.479849i
$726$	10.1608	−	19.4532i	0.377102	−	0.721977i
$727$	−9.19217	+	15.9213i	−0.340919	+	0.590489i	−0.984604	−	0.174802i	$-0.944071\pi$
$727$	−9.19217	+	15.9213i	−0.340919	+	0.590489i	0.643685	+	0.765291i	$0.277405\pi$
$728$	2.54643	−	1.85009i	0.0943770	−	0.0685689i
$729$	−21.4463	−	16.4029i	−0.794308	−	0.607515i
$730$	1.15730	−	3.56181i	0.0428336	−	0.131828i
$731$	−4.85757	−	10.9103i	−0.179664	−	0.403532i
$732$	−13.7322	+	7.85335i	−0.507555	+	0.290268i
$733$	6.56061	+	30.8652i	0.242322	+	1.14003i	0.916053	+	0.401057i	$0.131357\pi$
$733$	6.56061	+	30.8652i	0.242322	+	1.14003i	−0.673732	+	0.738976i	$0.735310\pi$
$734$	13.0155	−	14.4551i	0.480409	−	0.533549i
$735$	9.63789	+	3.17530i	0.355499	+	0.117123i
$736$	7.42577	+	4.28727i	0.273718	+	0.158031i
$737$	−10.5710	+	19.3307i	−0.389386	+	0.712055i
$738$	8.25592	+	9.32178i	0.303904	+	0.343139i
$739$	−26.9990	−	37.1609i	−0.993173	−	1.36698i	−0.929422	−	0.369019i	$-0.879694\pi$
$739$	−26.9990	−	37.1609i	−0.993173	−	1.36698i	−0.0637507	−	0.997966i	$-0.520306\pi$
$740$	1.04812	−	4.93100i	0.0385296	−	0.181267i
$741$	13.8479	+	3.00287i	0.508715	+	0.110313i
$742$	1.01424	−	9.64986i	0.0372340	−	0.354257i
$743$	2.27001	−	21.5977i	0.0832787	−	0.792344i	−0.870568	−	0.492049i	$-0.836248\pi$
$743$	2.27001	−	21.5977i	0.0832787	−	0.792344i	0.953846	−	0.300295i	$-0.0970852\pi$
$744$	33.0931	+	7.17614i	1.21325	+	0.263090i
$745$	1.43897	−	6.76981i	0.0527197	−	0.248027i
$746$	4.06871	+	5.60010i	0.148966	+	0.205034i
$747$	−42.4137	+	8.65229i	−1.55184	+	0.316571i
$748$	−0.887605	−	6.90204i	−0.0324541	−	0.252364i
$749$	4.61805	+	2.66623i	0.168740	+	0.0974220i
$750$	−16.2054	−	5.33903i	−0.591737	−	0.194954i
$751$	11.3807	−	12.6396i	0.415288	−	0.461224i	−0.498813	−	0.866709i	$-0.666231\pi$
$751$	11.3807	−	12.6396i	0.415288	−	0.461224i	0.914102	+	0.405485i	$0.132897\pi$
$752$	0.0732877	+	0.344791i	0.00267253	+	0.0125733i
$753$	−4.08073	+	2.33375i	−0.148710	+	0.0850466i
$754$	−2.00027	−	4.49267i	−0.0728454	−	0.163613i
$755$	−3.90677	+	12.0238i	−0.142182	+	0.437591i
$756$	−1.75168	−	2.47445i	−0.0637081	−	0.0899949i
$757$	−18.8951	+	13.7281i	−0.686756	+	0.498957i	−0.875592	−	0.483051i	$-0.839528\pi$
$757$	−18.8951	+	13.7281i	−0.686756	+	0.498957i	0.188836	+	0.982009i	$0.439528\pi$
$758$	4.90028	−	8.48753i	0.177986	−	0.308281i
$759$	7.77955	−	11.1488i	0.282380	−	0.404677i
$760$	−10.0142	−	17.3451i	−0.363253	−	0.629173i
$761$	18.5426	+	8.25571i	0.672170	+	0.299269i	0.714297	−	0.699843i	$-0.246747\pi$
$761$	18.5426	+	8.25571i	0.672170	+	0.299269i	−0.0421271	+	0.999112i	$0.513413\pi$
$762$	7.49384	−	10.2259i	0.271473	−	0.370446i
$763$	−9.82355	−	10.9102i	−0.355636	−	0.394974i
$764$	−1.18346	+	1.62889i	−0.0428159	+	0.0589310i
$765$	5.09544	+	7.13563i	0.184226	+	0.257989i
$766$	−11.0916	−	3.60388i	−0.400755	−	0.130213i
$767$	−10.0306	−	2.13208i	−0.362185	−	0.0769848i
$768$	−16.2890	−	18.2407i	−0.587779	−	0.658204i
$769$	−20.3619	+	11.7559i	−0.734268	+	0.423930i	−0.819981	−	0.572390i	$-0.806016\pi$
$769$	−20.3619	+	11.7559i	−0.734268	+	0.423930i	0.0857137	+	0.996320i	$0.472683\pi$
$770$	−0.890813	+	2.97452i	−0.0321027	+	0.107194i
$771$	14.6858	−	1.48266i	0.528895	−	0.0533968i
$772$	−6.62038	+	0.695830i	−0.238273	+	0.0250435i
$773$	12.8627	−	4.17933i	0.462638	−	0.150320i	−0.0684183	−	0.997657i	$-0.521795\pi$
$773$	12.8627	−	4.17933i	0.462638	−	0.150320i	0.531056	+	0.847337i	$0.321795\pi$
$774$	−7.86967	+	10.6469i	−0.282870	+	0.382695i
$775$	21.1676	+	15.3792i	0.760362	+	0.552436i
$776$	−34.2701	+	15.2580i	−1.23022	+	0.547731i
$777$	−11.4215	+	3.65934i	−0.409743	+	0.131278i
$778$	−7.98841	−	7.19279i	−0.286398	−	0.257874i
$779$	−10.1674	+	22.8364i	−0.364286	+	0.818200i
$780$	−1.17539	−	0.529106i	−0.0420859	−	0.0189450i
$781$	36.7775	+	3.00554i	1.31600	+	0.107547i
$782$			8.49784i			0.303882i
$783$	−17.2783	+	7.43942i	−0.617476	+	0.265863i
$784$	−4.24954	−	13.0787i	−0.151769	−	0.467098i
$785$	2.04310	−	1.83962i	0.0729215	−	0.0656588i
$786$	−17.2088	−	30.0909i	−0.613818	−	1.07331i
$787$	46.0880	+	4.84404i	1.64286	+	0.172671i	0.880356	−	0.474313i	$-0.157303\pi$
$787$	46.0880	+	4.84404i	1.64286	+	0.172671i	0.762503	+	0.646984i	$0.223970\pi$
$788$	−3.25613	+	0.692112i	−0.115995	+	0.0246555i
$789$	−33.3238	−	24.4206i	−1.18636	−	0.869396i
$790$	0.852102	+	8.10721i	0.0303164	+	0.288442i
$791$	6.93985			0.246753
$792$	−24.5137	+	18.3774i	−0.871057	+	0.653011i
$793$	16.0014			0.568226
$794$	1.24415	+	11.8373i	0.0441533	+	0.420090i
$795$	−14.4426	+	6.35939i	−0.512225	+	0.225544i
$796$	−5.03572	+	1.07038i	−0.178486	+	0.0379384i
$797$	−48.4746	−	5.09489i	−1.71706	−	0.180470i	−0.805767	−	0.592232i	$-0.798247\pi$
$797$	−48.4746	−	5.09489i	−1.71706	−	0.180470i	−0.911291	+	0.411762i	$0.864913\pi$
$798$	−6.04164	+	10.3660i	−0.213872	+	0.366953i
$799$	0.371040	−	0.334086i	0.0131265	−	0.0118191i
$800$	−4.61394	−	14.2003i	−0.163127	−	0.502055i
$801$	−6.01489	+	27.1988i	−0.212526	+	0.961022i
$802$		−	17.0865i		−	0.603345i
$803$	−2.65121	−	11.1909i	−0.0935590	−	0.394919i
$804$	6.28407	−	4.52638i	0.221622	−	0.159633i
$805$	−0.782311	+	1.75710i	−0.0275728	+	0.0619296i
$806$	−6.40942	−	5.77107i	−0.225762	−	0.203277i
$807$	30.8531	+	28.0102i	1.08608	+	0.986007i
$808$	17.0416	−	7.58741i	0.599521	−	0.266924i
$809$	4.11235	+	2.98780i	0.144583	+	0.105045i	0.657725	−	0.753258i	$-0.271519\pi$
$809$	4.11235	+	2.98780i	0.144583	+	0.105045i	−0.513143	+	0.858303i	$0.671519\pi$
$810$	4.09874	−	8.81387i	0.144015	−	0.309688i
$811$	5.95516	−	1.93495i	0.209114	−	0.0679453i	−0.202587	−	0.979264i	$-0.564935\pi$
$811$	5.95516	−	1.93495i	0.209114	−	0.0679453i	0.411701	+	0.911319i	$0.364935\pi$
$812$	−2.10073	+	0.220796i	−0.0737212	+	0.00774841i
$813$	−9.18513	+	20.4045i	−0.322137	+	0.715617i
$814$	10.1009	+	28.7984i	0.354036	+	1.00938i
$815$	−17.8786	+	10.3222i	−0.626261	+	0.361572i
$816$	3.71823	−	11.2858i	0.130164	−	0.395083i
$817$	−25.9977	−	5.52598i	−0.909544	−	0.193330i
$818$	9.57054	+	3.10966i	0.334626	+	0.108727i
$819$	0.295521	+	3.05236i	0.0103263	+	0.106658i
$820$	1.33661	−	1.83969i	0.0466766	−	0.0642448i
$821$	23.0033	+	25.5477i	0.802820	+	0.891621i	0.995983	−	0.0895452i	$-0.0285413\pi$
$821$	23.0033	+	25.5477i	0.802820	+	0.891621i	−0.193163	+	0.981167i	$0.561875\pi$
$822$	−14.2319	−	32.3214i	−0.496393	−	1.12734i
$823$	9.65088	+	4.29685i	0.336408	+	0.149779i	0.567987	−	0.823038i	$-0.307722\pi$
$823$	9.65088	+	4.29685i	0.336408	+	0.149779i	−0.231579	+	0.972816i	$0.574389\pi$
$824$	6.14077	+	10.6361i	0.213924	+	0.370527i
$825$	−23.0574	+	5.36268i	−0.802757	+	0.186705i
$826$	4.34157	−	7.51982i	0.151063	−	0.261648i
$827$	22.4299	−	16.2963i	0.779965	−	0.566678i	−0.125004	−	0.992156i	$-0.539894\pi$
$827$	22.4299	−	16.2963i	0.779965	−	0.566678i	0.904969	+	0.425479i	$0.139894\pi$
$828$	−4.15791	+	2.35531i	−0.144497	+	0.0818526i
$829$	7.49749	−	23.0749i	0.260399	−	0.801425i	−0.732319	−	0.680962i	$-0.761562\pi$
$829$	7.49749	−	23.0749i	0.260399	−	0.801425i	0.992718	−	0.120463i	$-0.0384379\pi$
$830$	−6.33853	−	14.2366i	−0.220014	−	0.494158i
$831$	0.0474130	−	11.5597i	0.00164474	−	0.401000i
$832$	2.10246	+	9.89132i	0.0728898	+	0.342920i
$833$	−13.0336	+	14.4753i	−0.451589	+	0.501540i
$834$	−2.51367	−	12.0691i	−0.0870412	−	0.417918i
$835$	0.523508	+	0.302248i	0.0181168	+	0.0104597i
$836$	−13.5879	−	7.43051i	−0.469947	−	0.256990i
$837$	−22.3756	+	24.2440i	−0.773414	+	0.837994i
$838$	−23.8144	−	32.7778i	−0.822656	−	1.13229i
$839$	4.51778	−	21.2545i	0.155971	−	0.733786i	−0.828746	−	0.559625i	$-0.810945\pi$
$839$	4.51778	−	21.2545i	0.155971	−	0.733786i	0.984717	−	0.174161i	$-0.0557214\pi$
$840$	2.91358	−	3.20929i	0.100528	−	0.110731i
$841$	1.66129	−	15.8061i	0.0572857	−	0.545037i
$842$	−0.192099	+	1.82770i	−0.00662015	+	0.0629866i
$843$	0.324346	+	1.01234i	0.0111711	+	0.0348670i
$844$	3.28936	−	15.4752i	0.113224	−	0.532679i
$845$	−6.39798	−	8.80607i	−0.220097	−	0.302938i
$846$	−0.524989	−	0.175353i	−0.0180495	−	0.00602877i
$847$	2.41255	+	9.22492i	0.0828963	+	0.316972i
$848$	18.5207	+	10.6929i	0.636003	+	0.367196i
$849$	24.4247	−	21.8113i	0.838253	−	0.748564i
$850$	9.90144	−	10.9967i	0.339617	−	0.377182i
$851$	3.93042	+	18.4912i	0.134733	+	0.633869i
$852$	−11.2062	−	6.53136i	−0.383920	−	0.223761i
$853$	−16.6944	−	37.4962i	−0.571604	−	1.28384i	−0.935803	−	0.352523i	$-0.885324\pi$
$853$	−16.6944	−	37.4962i	−0.571604	−	1.28384i	0.364199	−	0.931321i	$-0.381343\pi$
$854$	−4.18690	+	12.8860i	−0.143273	+	0.440948i
$855$	19.5128	+	0.160069i	0.667322	+	0.00547426i
$856$	−15.3244	+	11.1338i	−0.523778	+	0.380547i
$857$	3.74660	−	6.48930i	0.127981	−	0.221670i	−0.794913	−	0.606723i	$-0.792484\pi$
$857$	3.74660	−	6.48930i	0.127981	−	0.221670i	0.922894	+	0.385053i	$0.125817\pi$
$858$	7.74365	−	0.963567i	0.264364	−	0.0328956i
$859$	−0.815011	−	1.41164i	−0.0278078	−	0.0481646i	0.851787	−	0.523889i	$-0.175519\pi$
$859$	−0.815011	−	1.41164i	−0.0278078	−	0.0481646i	−0.879594	+	0.475724i	$0.842186\pi$
$860$	2.20877	+	0.983407i	0.0753184	+	0.0335339i
$861$	−5.37800	−	0.587563i	−0.183282	−	0.0200241i
$862$	−22.7381	−	25.2532i	−0.774463	−	0.860129i
$863$	11.2828	−	15.5294i	0.384070	−	0.528626i	−0.572587	−	0.819844i	$-0.694060\pi$
$863$	11.2828	−	15.5294i	0.384070	−	0.528626i	0.956657	+	0.291217i	$0.0940603\pi$
$864$	18.4622	−	3.68744i	0.628097	−	0.125449i
$865$	12.0324	+	3.90957i	0.409114	+	0.132929i
$866$	12.9146	+	2.74508i	0.438855	+	0.0932814i
$867$	12.3491	−	2.57198i	0.419396	−	0.0873490i
$868$	−3.20817	+	1.85224i	−0.108892	+	0.0628690i
$869$	15.1796	+	19.9058i	0.514932	+	0.675259i
$870$	−3.95824	−	5.49531i	−0.134197	−	0.186309i
$871$	−7.79079	+	0.818845i	−0.263981	+	0.0277455i
$872$	49.5978	−	16.1153i	1.67959	−	0.545733i
$873$	4.11842	−	36.3159i	0.139387	−	1.22911i
$874$	15.3000	+	11.1161i	0.517529	+	0.376007i
$875$	6.77204	−	3.01511i	0.228937	−	0.101929i
$876$	−0.856711	+	3.95076i	−0.0289456	+	0.133484i
$877$	41.7575	+	37.5986i	1.41005	+	1.26962i	0.916579	+	0.399854i	$0.130939\pi$
$877$	41.7575	+	37.5986i	1.41005	+	1.26962i	0.493472	+	0.869762i	$0.335728\pi$
$878$	−1.42330	+	3.19679i	−0.0480342	+	0.107887i
$879$	−0.365846	−	3.62371i	−0.0123397	−	0.122225i
$880$	−5.19060	−	4.46020i	−0.174975	−	0.150353i
$881$			16.2929i			0.548922i	0.961598	+	0.274461i	$0.0884994\pi$
$881$			16.2929i			0.548922i	−0.961598	+	0.274461i	$0.911501\pi$
$882$	21.0842	+	4.66268i	0.709942	+	0.157000i
$883$	−9.20073	−	28.3169i	−0.309629	−	0.952941i	−0.977909	−	0.209031i	$-0.932969\pi$
$883$	−9.20073	−	28.3169i	−0.309629	−	0.952941i	0.668280	−	0.743910i	$-0.267031\pi$
$884$	1.83874	−	1.65561i	0.0618436	−	0.0556842i
$885$	−14.1219	−	0.0579221i	−0.474701	−	0.00194703i
$886$	−18.9621	−	1.99299i	−0.637043	−	0.0669559i
$887$	−1.10473	+	0.234817i	−0.0370931	+	0.00788437i	−0.226421	−	0.974030i	$-0.572702\pi$
$887$	−1.10473	+	0.234817i	−0.0370931	+	0.00788437i	0.189328	+	0.981914i	$0.439369\pi$
$888$	4.62697	−	42.3510i	0.155271	−	1.42121i
$889$	0.575749	+	5.47789i	0.0193100	+	0.183722i
$890$	−10.0284			−0.336154
$891$	−3.32111	−	29.6643i	−0.111261	−	0.993791i
$892$	14.0668			0.470992
$893$	−0.116147	−	1.10506i	−0.00388670	−	0.0369794i
$894$	1.59954	−	14.6407i	0.0534966	−	0.489659i
$895$	−1.02545	+	0.217966i	−0.0342771	+	0.00728581i
$896$	−2.26857	−	0.238436i	−0.0757876	−	0.00796559i
$897$	4.83366	+	0.0198257i	0.161391	+	0.000661962i
$898$	0.222485	−	0.200326i	0.00742441	−	0.00668497i
$899$	7.10316	+	21.8613i	0.236904	+	0.729114i
$900$	8.12489	+	1.79678i	0.270830	+	0.0598928i
$901$		−	30.2916i		−	1.00916i
$902$	−1.12128	+	13.7206i	−0.0373346	+	0.456846i
$903$	−0.577795	−	5.72306i	−0.0192278	−	0.190451i
$904$	−10.0268	+	22.5205i	−0.333486	+	0.749022i
$905$	16.1827	+	14.5710i	0.537932	+	0.484356i
$906$	−5.70136	+	26.2921i	−0.189415	+	0.873495i
$907$	24.3607	−	10.8461i	0.808882	−	0.360138i	0.0397359	−	0.999210i	$-0.487348\pi$
$907$	24.3607	−	10.8461i	0.808882	−	0.360138i	0.769146	+	0.639073i	$0.220682\pi$
$908$	6.46774	+	4.69909i	0.214639	+	0.155945i
$909$	−2.04798	+	18.0589i	−0.0679272	+	0.598977i
$910$	−1.04998	+	0.341161i	−0.0348066	+	0.0113094i
$911$	3.89697	−	0.409588i	0.129112	−	0.0135703i	−0.0397518	−	0.999210i	$-0.512657\pi$
$911$	3.89697	−	0.409588i	0.129112	−	0.0135703i	0.168864	+	0.985639i	$0.445990\pi$
$912$	−15.4558	−	21.4576i	−0.511792	−	0.710531i
$913$	−39.3577	−	27.2241i	−1.30255	−	0.900986i
$914$	5.42679	−	3.13316i	0.179502	−	0.103636i
$915$	21.5729	−	4.49306i	0.713178	−	0.148536i
$916$	6.45273	+	1.37157i	0.213204	+	0.0453180i
$917$	14.3232	+	4.65390i	0.472994	+	0.153685i
$918$	12.3134	+	14.0185i	0.406402	+	0.462679i
$919$	−7.16542	+	9.86236i	−0.236365	+	0.325329i	−0.910678	−	0.413117i	$-0.864440\pi$
$919$	−7.16542	+	9.86236i	−0.236365	+	0.325329i	0.674313	+	0.738446i	$0.264440\pi$
$920$	−4.57168	−	5.07736i	−0.150724	−	0.167396i
$921$	−30.3227	−	3.31284i	−0.999167	−	0.109162i
$922$	30.8997	+	13.7574i	1.01763	+	0.453077i
$923$	6.56003	+	11.3623i	0.215926	+	0.373995i
$924$	0.634189	−	3.29114i	0.0208633	−	0.108271i
$925$	16.4592	−	28.5082i	0.541175	−	0.937343i
$926$	18.9950	−	13.8007i	0.624216	−	0.453519i
$927$	−11.9654	−	0.0981557i	−0.392994	−	0.00322386i
$928$	4.05348	−	12.4753i	0.133062	−	0.409522i
$929$	−1.91994	−	4.31226i	−0.0629912	−	0.141481i	0.879307	−	0.476256i	$-0.158006\pi$
$929$	−1.91994	−	4.31226i	−0.0629912	−	0.141481i	−0.942298	+	0.334775i	$0.891340\pi$
$930$	−10.2616	−	5.98078i	−0.336491	−	0.196118i
$931$	9.01277	+	42.4017i	0.295382	+	1.38966i
$932$	−7.02682	+	7.80407i	−0.230171	+	0.255631i
$933$	14.2171	−	12.6959i	0.465447	−	0.415647i
$934$	0.498520	+	0.287821i	0.0163121	+	0.00941778i
$935$	−1.79511	+	9.52591i	−0.0587064	+	0.311530i
$936$	−10.3322	−	3.45109i	−0.337718	−	0.112802i
$937$	−17.0091	−	23.4110i	−0.555662	−	0.764803i	0.435105	−	0.900380i	$-0.356711\pi$
$937$	−17.0091	−	23.4110i	−0.555662	−	0.764803i	−0.990767	+	0.135577i	$0.956711\pi$
$938$	1.37911	−	6.48820i	0.0450295	−	0.211847i
$939$	−2.06182	−	6.43533i	−0.0672850	−	0.210009i
$940$	−0.0105656	+	0.100525i	−0.000344613	+	0.00327877i
$941$	−5.95507	+	56.6587i	−0.194130	+	1.84702i	0.271992	+	0.962299i	$0.412317\pi$
$941$	−5.95507	+	56.6587i	−0.194130	+	1.84702i	−0.466122	+	0.884720i	$0.654349\pi$
$942$	3.93246	−	4.33158i	0.128127	−	0.141131i
$943$	−1.77295	+	8.34105i	−0.0577350	+	0.271622i
$944$	11.2490	+	15.4830i	0.366125	+	0.503928i
$945$	1.25550	+	4.03217i	0.0408413	+	0.131167i
$946$	−14.5174	+	1.86695i	−0.472002	+	0.0606997i
$947$	0.812966	+	0.469366i	0.0264179	+	0.0152524i	0.513151	−	0.858298i	$-0.328478\pi$
$947$	0.812966	+	0.469366i	0.0264179	+	0.0152524i	−0.486733	+	0.873551i	$0.661812\pi$
$948$	−1.79418	−	8.61452i	−0.0582721	−	0.279787i
$949$	2.73617	−	3.03882i	0.0888197	−	0.0986443i
$950$	−6.84685	−	32.2119i	−0.222141	−	1.04509i
$951$	0.153464	−	37.4156i	0.00497640	−	1.21328i
$952$	3.38420	+	7.60103i	0.109682	+	0.246351i
$953$	−3.50554	+	10.7889i	−0.113556	+	0.349488i	−0.991643	−	0.129012i	$-0.958819\pi$
$953$	−3.50554	+	10.7889i	−0.113556	+	0.349488i	0.878087	+	0.478500i	$0.158819\pi$
$954$	−29.2186	+	16.5513i	−0.945989	+	0.535869i
$955$	2.26900	−	1.64853i	0.0734232	−	0.0533451i
$956$	10.0876	−	17.4722i	0.326256	−	0.565092i
$957$	−19.1571	−	8.09504i	−0.619263	−	0.261676i
$958$	6.18978	+	10.7210i	0.199983	+	0.346380i
$959$	14.0170	+	6.24078i	0.452633	+	0.201525i
$960$	5.61192	+	12.7450i	0.181124	+	0.411343i
$961$	6.23130	+	6.92056i	0.201010	+	0.223244i
$962$	−6.37807	+	8.77866i	−0.205637	+	0.283035i
$963$	−1.77845	−	18.3691i	−0.0573097	−	0.591935i
$964$	1.21485	+	0.394730i	0.0391278	+	0.0127134i
$965$	9.07021	+	1.92793i	0.291980	+	0.0620623i
$966$	−1.28074	+	3.88737i	−0.0412070	+	0.125074i
$967$	−14.9869	+	8.65272i	−0.481948	+	0.278253i	−0.721228	−	0.692698i	$-0.756422\pi$
$967$	−14.9869	+	8.65272i	−0.481948	+	0.278253i	0.239280	+	0.970951i	$0.423089\pi$
$968$	−33.4215	−	5.49929i	−1.07421	−	0.176754i
$969$	−15.3752	+	34.1556i	−0.493924	+	1.09724i
$970$	13.0858	−	1.37538i	0.420161	−	0.0441607i
$971$	−23.6890	+	7.69701i	−0.760215	+	0.247009i	−0.663371	−	0.748291i	$-0.730875\pi$
$971$	−23.6890	+	7.69701i	−0.760215	+	0.247009i	−0.0968441	+	0.995300i	$0.530875\pi$
$972$	−3.44627	+	9.91026i	−0.110539	+	0.317872i
$973$	4.33318	+	3.14824i	0.138915	+	0.100928i
$974$	−32.1213	+	14.3013i	−1.02923	+	0.458244i
$975$	−6.23191	−	5.65770i	−0.199581	−	0.181191i
$976$	−22.1924	−	19.9821i	−0.710360	−	0.639611i
$977$	3.04616	−	6.84178i	0.0974552	−	0.218888i	−0.858238	−	0.513251i	$-0.828441\pi$
$977$	3.04616	−	6.84178i	0.0974552	−	0.218888i	0.955694	+	0.294363i	$0.0951075\pi$
$978$	−35.6465	+	25.6760i	−1.13985	+	0.821027i
$979$	−26.3060	+	16.0119i	−0.840743	+	0.511743i
$980$		−	3.94338i		−	0.125967i
$981$	−10.9712	+	49.6106i	−0.350282	+	1.58395i
$982$	8.92466	+	27.4673i	0.284797	+	0.876516i
$983$	3.96119	−	3.56667i	0.126342	−	0.113759i	−0.603538	−	0.797335i	$-0.706243\pi$
$983$	3.96119	−	3.56667i	0.126342	−	0.113759i	0.729880	+	0.683575i	$0.239576\pi$
$984$	9.67692	−	16.6033i	0.308489	−	0.529293i
$985$	4.61165	+	0.484703i	0.146939	+	0.0154439i
$986$	12.7159	−	2.70285i	0.404957	−	0.0860762i
$987$	0.220085	−	0.0969085i	0.00700538	−	0.00308463i
$988$	−0.575581	−	5.47628i	−0.0183117	−	0.174224i
$989$	−9.06669			−0.288304
$990$	10.1694	−	3.47343i	0.323203	−	0.110393i
$991$	−23.5423			−0.747846			−0.373923	−	0.927460i	$-0.621988\pi$
$991$	−23.5423			−0.747846			−0.373923	+	0.927460i	$0.621988\pi$
$992$	−2.40464	−	22.8786i	−0.0763475	−	0.726398i
$993$	9.57281	+	7.01522i	0.303784	+	0.222621i
$994$	−10.8666	+	2.30976i	−0.344667	+	0.0732612i
$995$	7.13207	+	0.749611i	0.226102	+	0.0237643i
$996$	8.35103	+	14.6024i	0.264613	+	0.462695i
$997$	10.5563	−	9.50498i	0.334323	−	0.301026i	−0.484821	−	0.874613i	$-0.661115\pi$
$997$	10.5563	−	9.50498i	0.334323	−	0.301026i	0.819144	+	0.573588i	$0.194449\pi$
$998$	−1.76924	−	5.44517i	−0.0560044	−	0.172364i
$999$	33.2775	+	24.8088i	1.05286	+	0.784917i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.74.8	yes	80
3.2	odd	2		297.2.t.a.8.3		80
9.2	odd	6		891.2.k.a.404.7		80
9.4	even	3		297.2.t.a.206.3		80
9.5	odd	6	inner	99.2.p.a.41.8	yes	80
9.7	even	3		891.2.k.a.404.14		80
11.7	odd	10	inner	99.2.p.a.29.8	✓	80
33.29	even	10		297.2.t.a.62.3		80
99.7	odd	30		891.2.k.a.161.7		80
99.29	even	30		891.2.k.a.161.14		80
99.40	odd	30		297.2.t.a.260.3		80
99.95	even	30	inner	99.2.p.a.95.8	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.29.8	✓	80	11.7	odd	10	inner
99.2.p.a.41.8	yes	80	9.5	odd	6	inner
99.2.p.a.74.8	yes	80	1.1	even	1	trivial
99.2.p.a.95.8	yes	80	99.95	even	30	inner
297.2.t.a.8.3		80	3.2	odd	2
297.2.t.a.62.3		80	33.29	even	10
297.2.t.a.206.3		80	9.4	even	3
297.2.t.a.260.3		80	99.40	odd	30
891.2.k.a.161.7		80	99.7	odd	30
891.2.k.a.161.14		80	99.29	even	30
891.2.k.a.404.7		80	9.2	odd	6
891.2.k.a.404.14		80	9.7	even	3

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:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.p (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.120408 + 1.14561i) q^{2} +(-0.188112 + 1.72181i) q^{3} +(0.658378 - 0.139943i) q^{4} +(-0.932459 - 0.0980053i) q^{5} +(-1.99516 - 0.00818335i) q^{6} +(0.644183 - 0.580025i) q^{7} +(0.951517 + 2.92847i) q^{8} +(-2.92923 - 0.647785i) q^{9} -1.08003i q^{10} +(-1.72444 - 2.83308i) q^{11} +(0.117105 + 1.15992i) q^{12} +(0.479642 - 1.07729i) q^{13} +(0.742046 + 0.668141i) q^{14} +(0.344153 - 1.58708i) q^{15} +(-2.01051 + 0.895139i) q^{16} +(2.52191 + 1.83228i) q^{17} +(0.389405 - 3.43374i) q^{18} +(6.59786 - 2.14377i) q^{19} +(-0.627625 + 0.0659661i) q^{20} +(0.877511 + 1.21827i) q^{21} +(3.03796 - 2.31665i) q^{22} +(2.04949 - 1.18327i) q^{23} +(-5.22125 + 1.08745i) q^{24} +(-4.03086 - 0.856787i) q^{25} +(1.29191 + 0.419767i) q^{26} +(1.66638 - 4.92170i) q^{27} +(0.342946 - 0.472024i) q^{28} +(-2.42248 - 2.69044i) q^{29} +(1.85960 + 0.203167i) q^{30} +(-5.80030 - 2.58246i) q^{31} +(1.81162 + 3.13781i) q^{32} +(5.20239 - 2.43621i) q^{33} +(-1.79541 + 3.10974i) q^{34} +(-0.657520 + 0.477716i) q^{35} +(-2.01919 - 0.0165641i) q^{36} +(-2.46847 + 7.59716i) q^{37} +(3.25036 + 7.30042i) q^{38} +(1.76466 + 1.02850i) q^{39} +(-0.600245 - 2.82393i) q^{40} +(-2.41108 + 2.67778i) q^{41} +(-1.29000 + 1.15197i) q^{42} +(-3.31791 - 1.91560i) q^{43} +(-1.53180 - 1.62391i) q^{44} +(2.66790 + 0.891113i) q^{45} +(1.60234 + 2.20543i) q^{46} +(0.0333008 - 0.156668i) q^{47} +(-1.16305 - 3.63010i) q^{48} +(-0.653156 + 6.21437i) q^{49} +(0.496192 - 4.72095i) q^{50} +(-3.62923 + 3.99757i) q^{51} +(0.165027 - 0.776389i) q^{52} +(-5.71174 - 7.86153i) q^{53} +(5.83898 + 1.31641i) q^{54} +(1.33031 + 2.81073i) q^{55} +(2.31154 + 1.33457i) q^{56} +(2.45002 + 11.7635i) q^{57} +(2.79050 - 3.09916i) q^{58} +(-1.80800 - 8.50597i) q^{59} +(0.00448328 - 1.09306i) q^{60} +(5.51908 + 12.3961i) q^{61} +(2.26008 - 6.95581i) q^{62} +(-2.26269 + 1.28173i) q^{63} +(-6.93750 + 5.04039i) q^{64} +(-0.552827 + 0.957525i) q^{65} +(3.41735 + 5.66656i) q^{66} +(-3.32149 - 5.75299i) q^{67} +(1.91678 + 0.853407i) q^{68} +(1.65183 + 3.75141i) q^{69} +(-0.626445 - 0.695738i) q^{70} +(-6.53958 + 9.00097i) q^{71} +(-0.890191 - 9.19453i) q^{72} +(3.29787 + 1.07154i) q^{73} +(-9.00058 - 1.91313i) q^{74} +(2.23347 - 6.77919i) q^{75} +(4.04388 - 2.33473i) q^{76} +(-2.75411 - 0.824803i) q^{77} +(-0.965780 + 2.14545i) q^{78} +(-7.50645 + 0.788960i) q^{79} +(1.96245 - 0.637639i) q^{80} +(8.16075 + 3.79502i) q^{81} +(-3.35800 - 2.43973i) q^{82} +(13.1816 - 5.86883i) q^{83} +(0.748222 + 0.679279i) q^{84} +(-2.17201 - 1.95568i) q^{85} +(1.79502 - 4.03167i) q^{86} +(5.08810 - 3.66493i) q^{87} +(6.65574 - 7.74568i) q^{88} -9.28531i q^{89} +(-0.699629 + 3.16366i) q^{90} +(-0.315880 - 0.972179i) q^{91} +(1.18375 - 1.06585i) q^{92} +(5.53760 - 9.50119i) q^{93} +(0.183489 + 0.0192855i) q^{94} +(-6.36233 + 1.35236i) q^{95} +(-5.74348 + 2.52899i) q^{96} +(1.27346 + 12.1162i) q^{97} -7.19787 q^{98} +(3.21604 + 9.41579i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) \) 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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