LMFDB - Embedded newform 99.2.p.a.41.8

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			41.8
Character	$\chi$	$=$	99.41
Dual form			99.2.p.a.29.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.05233 + 0.468527i) q^{2} +(1.16424 + 1.28240i) q^{3} +(-0.450383 - 0.500201i) q^{4} +(-0.381354 - 0.856535i) q^{5} +(0.624322 + 1.89498i) q^{6} +(0.180225 + 0.847891i) q^{7} +(-0.951517 - 2.92847i) q^{8} +(-0.289100 + 2.98604i) q^{9} -1.08003i q^{10} +(-3.31573 + 0.0768679i) q^{11} +(0.117105 - 1.15992i) q^{12} +(-1.17279 + 0.123265i) q^{13} +(-0.207604 + 0.976701i) q^{14} +(0.654434 - 1.48626i) q^{15} +(0.230044 - 2.18873i) q^{16} +(-2.52191 - 1.83228i) q^{17} +(-1.70327 + 3.00684i) q^{18} +(6.59786 - 2.14377i) q^{19} +(-0.256684 + 0.576522i) q^{20} +(-0.877511 + 1.21827i) q^{21} +(-3.52526 - 1.47262i) q^{22} +(2.04949 + 1.18327i) q^{23} +(2.64768 - 4.62966i) q^{24} +(2.75743 - 3.06244i) q^{25} +(-1.29191 - 0.419767i) q^{26} +(-4.16588 + 3.10572i) q^{27} +(0.342946 - 0.472024i) q^{28} +(-3.54123 + 0.752711i) q^{29} +(1.38503 - 1.25741i) q^{30} +(0.663674 + 6.31443i) q^{31} +(-1.81162 + 3.13781i) q^{32} +(-3.95888 - 4.16261i) q^{33} +(-1.79541 - 3.10974i) q^{34} +(0.657520 - 0.477716i) q^{35} +(1.62382 - 1.20025i) q^{36} +(-2.46847 + 7.59716i) q^{37} +(7.94753 + 0.835319i) q^{38} +(-1.52348 - 1.36047i) q^{39} +(-2.14547 + 1.93179i) q^{40} +(-3.52457 - 0.749170i) q^{41} +(-1.49422 + 0.870880i) 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} +(-0.119028 - 0.107173i) q^{47} +(3.07465 - 2.25319i) q^{48} +(5.70838 - 2.54153i) q^{49} +(4.33656 - 1.93076i) q^{50} +(-0.586394 - 5.36731i) q^{51} +(0.589859 + 0.531112i) 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} +(10.4307 + 5.96523i) q^{57} +(-4.07920 - 0.867060i) q^{58} +(6.46239 - 5.81876i) q^{59} +(-1.03817 + 0.342037i) q^{60} +(-13.4948 - 1.41836i) q^{61} +(-2.26008 + 6.95581i) q^{62} +(-2.58394 + 0.293032i) q^{63} +(-6.93750 + 5.04039i) q^{64} +(0.552827 + 0.957525i) q^{65} +(-2.21575 - 6.23527i) q^{66} +(-3.32149 + 5.75299i) q^{67} +(0.219320 + 2.08669i) q^{68} +(0.868663 + 4.00588i) q^{69} +(0.915750 - 0.194649i) q^{70} +(6.53958 - 9.00097i) q^{71} +(9.01960 - 1.99464i) q^{72} +(3.29787 + 1.07154i) q^{73} +(-6.15711 + 6.83817i) q^{74} +(7.13758 - 0.0292754i) q^{75} +(-4.04388 - 2.33473i) q^{76} +(-0.662753 - 2.79753i) q^{77} +(-0.965780 - 2.14545i) q^{78} +(3.06997 - 6.89526i) q^{79} +(-1.96245 + 0.637639i) q^{80} +(-8.83284 - 1.72653i) q^{81} +(-3.35800 - 2.43973i) q^{82} +(1.50825 - 14.3500i) q^{83} +(1.00459 - 0.109755i) q^{84} +(-0.607668 + 2.85885i) q^{85} +(4.38904 - 0.461307i) q^{86} +(-5.08810 - 3.66493i) q^{87} +(3.38008 + 9.63688i) q^{88} +9.28531i q^{89} +(3.22502 + 0.312238i) q^{90} +(-0.315880 - 0.972179i) q^{91} +(-0.331181 - 1.55808i) q^{92} +(-7.32496 + 8.20260i) q^{93} +(-0.0750429 - 0.168549i) q^{94} +(-4.35234 - 4.83376i) q^{95} +(-6.13308 + 1.32994i) q^{96} +(-11.1296 - 4.95523i) q^{97} +7.19787 q^{98} +(0.729050 - 9.92313i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	1.05233	+	0.468527i	0.744109	+	0.331299i	0.743531	−	0.668701i	$-0.233149\pi$
$2$	1.05233	+	0.468527i	0.744109	+	0.331299i	0.000577647		1.00000i	$0.499816\pi$
$3$	1.16424	+	1.28240i	0.672173	+	0.740394i
$3$	1.16424	+	1.28240i	0.672173	+	0.740394i
$4$	−0.450383	−	0.500201i	−0.225191	−	0.250100i
$5$	−0.381354	−	0.856535i	−0.170547	−	0.383054i	0.807969	−	0.589224i	$-0.200567\pi$
$5$	−0.381354	−	0.856535i	−0.170547	−	0.383054i	−0.978516	+	0.206170i	$0.933900\pi$
$6$	0.624322	+	1.89498i	0.254878	+	0.773624i
$7$	0.180225	+	0.847891i	0.0681186	+	0.320473i	0.998993	−	0.0448666i	$-0.0142863\pi$
$7$	0.180225	+	0.847891i	0.0681186	+	0.320473i	−0.930874	+	0.365339i	$0.880953\pi$
$8$	−0.951517	−	2.92847i	−0.336412	−	1.03537i
$9$	−0.289100	+	2.98604i	−0.0963668	+	0.995346i
$10$		−	1.08003i		−	0.341536i
$11$	−3.31573	+	0.0768679i	−0.999731	+	0.0231765i
$11$	−3.31573	+	0.0768679i	−0.999731	+	0.0231765i
$12$	0.117105	−	1.15992i	0.0338053	−	0.334841i
$13$	−1.17279	+	0.123265i	−0.325272	+	0.0341875i	−0.265757	−	0.964040i	$-0.585622\pi$
$13$	−1.17279	+	0.123265i	−0.325272	+	0.0341875i	−0.0595147	+	0.998227i	$0.518955\pi$
$14$	−0.207604	+	0.976701i	−0.0554845	+	0.261034i
$15$	0.654434	−	1.48626i	0.168974	−	0.383751i
$16$	0.230044	−	2.18873i	0.0575111	−	0.547181i
$17$	−2.52191	−	1.83228i	−0.611653	−	0.444392i	0.238343	−	0.971181i	$-0.423396\pi$
$17$	−2.52191	−	1.83228i	−0.611653	−	0.444392i	−0.849996	+	0.526789i	$0.823396\pi$
$18$	−1.70327	+	3.00684i	−0.401464	+	0.708720i
$19$	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	$0.107064\pi$
$20$	−0.256684	+	0.576522i	−0.0573964	+	0.128914i
$21$	−0.877511	+	1.21827i	−0.191489	+	0.265848i
$22$	−3.52526	−	1.47262i	−0.751587	−	0.313964i
$23$	2.04949	+	1.18327i	0.427348	+	0.246730i	0.698216	−	0.715887i	$-0.253977\pi$
$23$	2.04949	+	1.18327i	0.427348	+	0.246730i	−0.270868	+	0.962616i	$0.587311\pi$
$24$	2.64768	−	4.62966i	0.540455	−	0.945025i
$25$	2.75743	−	3.06244i	0.551486	−	0.612487i
$26$	−1.29191	−	0.419767i	−0.253364	−	0.0823230i
$27$	−4.16588	+	3.10572i	−0.801723	+	0.597695i
$28$	0.342946	−	0.472024i	0.0648106	−	0.0892042i
$29$	−3.54123	+	0.752711i	−0.657589	+	0.139775i	−0.524608	−	0.851344i	$-0.675788\pi$
$29$	−3.54123	+	0.752711i	−0.657589	+	0.139775i	−0.132981	+	0.991119i	$0.542455\pi$
$30$	1.38503	−	1.25741i	0.252871	−	0.229571i
$31$	0.663674	+	6.31443i	0.119199	+	1.13411i	0.876622	+	0.481180i	$0.159792\pi$
$31$	0.663674	+	6.31443i	0.119199	+	1.13411i	−0.757422	+	0.652925i	$0.773542\pi$
$32$	−1.81162	+	3.13781i	−0.320251	+	0.554692i
$33$	−3.95888	−	4.16261i	−0.689152	−	0.724617i
$34$	−1.79541	−	3.10974i	−0.307910	−	0.533316i
$35$	0.657520	−	0.477716i	0.111141	−	0.0807487i
$36$	1.62382	−	1.20025i	0.270637	−	0.200042i
$37$	−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	$0.871986\pi$
$38$	7.94753	+	0.835319i	1.28926	+	0.135507i
$39$	−1.52348	−	1.36047i	−0.243951	−	0.217850i
$40$	−2.14547	+	1.93179i	−0.339229	+	0.305443i
$41$	−3.52457	−	0.749170i	−0.550445	−	0.117001i	−0.0757105	−	0.997130i	$-0.524122\pi$
$41$	−3.52457	−	0.749170i	−0.550445	−	0.117001i	−0.474734	+	0.880129i	$0.657456\pi$
$42$	−1.49422	+	0.870880i	−0.230563	+	0.134380i
$43$	3.31791	−	1.91560i	0.505976	−	0.292126i	−0.225202	−	0.974312i	$-0.572304\pi$
$43$	3.31791	−	1.91560i	0.505976	−	0.292126i	0.731178	+	0.682187i	$0.238971\pi$
$44$	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
$47$	−0.119028	−	0.107173i	−0.0173620	−	0.0156328i	0.660404	−	0.750911i	$-0.270385\pi$
$47$	−0.119028	−	0.107173i	−0.0173620	−	0.0156328i	−0.677766	+	0.735278i	$0.737052\pi$
$48$	3.07465	−	2.25319i	0.443787	−	0.325220i
$49$	5.70838	−	2.54153i	0.815483	−	0.363076i
$50$	4.33656	−	1.93076i	0.613282	−	0.273051i
$51$	−0.586394	−	5.36731i	−0.0821116	−	0.751573i
$52$	0.589859	+	0.531112i	0.0817988	+	0.0736519i
$53$	5.71174	+	7.86153i	0.784567	+	1.07986i	0.994763	+	0.102205i	$0.0325898\pi$
$53$	5.71174	+	7.86153i	0.784567	+	1.07986i	−0.210196	+	0.977659i	$0.567410\pi$
$54$	−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
$57$	10.4307	+	5.96523i	1.38157	+	0.790114i
$58$	−4.07920	−	0.867060i	−0.535625	−	0.113851i
$59$	6.46239	−	5.81876i	0.841331	−	0.757538i	−0.130941	−	0.991390i	$-0.541800\pi$
$59$	6.46239	−	5.81876i	0.841331	−	0.757538i	0.972272	+	0.233852i	$0.0751331\pi$
$60$	−1.03817	+	0.342037i	−0.134028	+	0.0441568i
$61$	−13.4948	−	1.41836i	−1.72784	−	0.181603i	−0.812137	−	0.583467i	$-0.801696\pi$
$61$	−13.4948	−	1.41836i	−1.72784	−	0.181603i	−0.915700	+	0.401864i	$0.868363\pi$
$62$	−2.26008	+	6.95581i	−0.287030	+	0.883389i
$63$	−2.58394	+	0.293032i	−0.325546	+	0.0369186i
$64$	−6.93750	+	5.04039i	−0.867188	+	0.630049i
$65$	0.552827	+	0.957525i	0.0685698	+	0.118766i
$66$	−2.21575	−	6.23527i	−0.272740	−	0.767509i
$67$	−3.32149	+	5.75299i	−0.405785	+	0.702840i	−0.994412	−	0.105565i	$-0.966335\pi$
$67$	−3.32149	+	5.75299i	−0.405785	+	0.702840i	0.588628	+	0.808404i	$0.299668\pi$
$68$	0.219320	+	2.08669i	0.0265964	+	0.253048i
$69$	0.868663	+	4.00588i	0.104575	+	0.482251i
$70$	0.915750	−	0.194649i	0.109453	−	0.0232650i
$71$	6.53958	−	9.00097i	0.776106	−	1.06822i	−0.219595	−	0.975591i	$-0.570474\pi$
$71$	6.53958	−	9.00097i	0.776106	−	1.06822i	0.995701	−	0.0926270i	$-0.0295264\pi$
$72$	9.01960	−	1.99464i	1.06297	−	0.235071i
$73$	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	$0.534955\pi$
$74$	−6.15711	+	6.83817i	−0.715750	+	0.794921i
$75$	7.13758	−	0.0292754i	0.824176	−	0.00338044i
$76$	−4.04388	−	2.33473i	−0.463865	−	0.267812i
$77$	−0.662753	−	2.79753i	−0.0755278	−	0.318808i
$78$	−0.965780	−	2.14545i	−0.109353	−	0.242925i
$79$	3.06997	−	6.89526i	0.345398	−	0.775777i	−0.654409	−	0.756141i	$-0.727082\pi$
$79$	3.06997	−	6.89526i	0.345398	−	0.775777i	0.999807	−	0.0196365i	$-0.00625088\pi$
$80$	−1.96245	+	0.637639i	−0.219409	+	0.0712902i
$81$	−8.83284	−	1.72653i	−0.981427	−	0.191837i
$82$	−3.35800	−	2.43973i	−0.370829	−	0.269423i
$83$	1.50825	−	14.3500i	0.165552	−	1.57512i	−0.524532	−	0.851391i	$-0.675760\pi$
$83$	1.50825	−	14.3500i	0.165552	−	1.57512i	0.690083	−	0.723730i	$-0.257574\pi$
$84$	1.00459	−	0.109755i	0.109610	−	0.0119752i
$85$	−0.607668	+	2.85885i	−0.0659109	+	0.310086i
$86$	4.38904	−	0.461307i	0.473282	−	0.0497440i
$87$	−5.08810	−	3.66493i	−0.545502	−	0.392922i
$88$	3.38008	+	9.63688i	0.360318	+	1.02730i
$89$			9.28531i			0.984241i	0.870527	+	0.492120i	$0.163778\pi$
$89$			9.28531i			0.984241i	−0.870527	+	0.492120i	$0.836222\pi$
$90$	3.22502	+	0.312238i	0.339946	+	0.0329127i
$91$	−0.315880	−	0.972179i	−0.0331132	−	0.101912i
$92$	−0.331181	−	1.55808i	−0.0345280	−	0.162441i
$93$	−7.32496	+	8.20260i	−0.759563	+	0.850570i
$94$	−0.0750429	−	0.168549i	−0.00774009	−	0.0173845i
$95$	−4.35234	−	4.83376i	−0.446541	−	0.495934i
$96$	−6.13308	+	1.32994i	−0.625955	+	0.135737i
$97$	−11.1296	−	4.95523i	−1.13004	−	0.503128i	−0.245412	−	0.969419i	$-0.578923\pi$
$97$	−11.1296	−	4.95523i	−1.13004	−	0.503128i	−0.884631	+	0.466291i	$0.845590\pi$
$98$	7.19787			0.727095
$99$	0.729050	−	9.92313i	0.0732723	−	0.997312i
$100$	−2.77373			−0.277373
$101$	−5.53447	−	2.46410i	−0.550700	−	0.245188i	0.112471	−	0.993655i	$-0.464123\pi$
$101$	−5.53447	−	2.46410i	−0.550700	−	0.245188i	−0.663172	+	0.748467i	$0.730790\pi$
$102$	1.89765	−	5.92291i	0.187895	−	0.586456i
$103$	−2.66888	−	2.96410i	−0.262973	−	0.292061i	0.597169	−	0.802115i	$-0.296292\pi$
$103$	−2.66888	−	2.96410i	−0.262973	−	0.292061i	−0.860142	+	0.510054i	$0.829625\pi$
$104$	1.47690	+	3.31718i	0.144822	+	0.325276i
$105$	1.37813	+	0.287028i	0.134492	+	0.0280111i
$106$	2.32729	+	10.9490i	0.226046	+	1.06346i
$107$	−1.90097	−	5.85057i	−0.183773	−	0.565596i	0.816152	−	0.577838i	$-0.196103\pi$
$107$	−1.90097	−	5.85057i	−0.183773	−	0.565596i	−0.999925	+	0.0122414i	$0.996103\pi$
$108$	3.42972	+	0.685014i	0.330025	+	0.0659155i
$109$		−	16.9364i		−	1.62221i	−0.584897	−	0.811107i	$-0.698865\pi$
$109$		−	16.9364i		−	1.62221i	0.584897	−	0.811107i	$-0.301135\pi$
$110$	0.0830198	+	3.58110i	0.00791563	+	0.341444i
$111$	−12.6165	+	5.67934i	−1.19750	+	0.539059i
$112$	1.89726	−	0.199410i	0.179274	−	0.0188425i
$113$	−1.66454	+	7.83103i	−0.156586	+	0.736681i	0.827851	+	0.560948i	$0.189563\pi$
$113$	−1.66454	+	7.83103i	−0.156586	+	0.736681i	−0.984438	+	0.175734i	$0.943770\pi$
$114$	8.18160	+	11.1644i	0.766277	+	1.04564i
$115$	0.231934	−	2.20671i	0.0216280	−	0.205776i
$116$	1.97141	+	1.43232i	0.183041	+	0.132987i
$117$	−0.0290202	−	3.53762i	−0.00268292	−	0.327053i
$118$	9.52681	−	3.09545i	0.877014	−	0.284959i
$119$	1.09906	−	2.46853i	0.100751	−	0.226290i
$120$	−4.97517	−	0.502289i	−0.454169	−	0.0458525i
$121$	10.9882	−	0.509747i	0.998926	−	0.0463406i
$122$	−13.5365	−	7.81528i	−1.22553	−	0.707562i
$123$	−3.14270	−	5.39212i	−0.283368	−	0.486191i
$124$	2.85958	−	3.17588i	0.256798	−	0.285203i
$125$	−8.13317	−	2.64263i	−0.727453	−	0.236364i
$126$	−2.85645	−	0.902278i	−0.254472	−	0.0803814i
$127$	−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	$0.290972\pi$
$128$	−2.57399	+	0.547118i	−0.227510	+	0.0483588i
$129$	6.31940	+	2.02468i	0.556392	+	0.178263i
$130$	0.133130	+	1.26665i	0.0116763	+	0.111092i
$131$	−8.68698	+	15.0463i	−0.758985	+	1.31460i	0.184384	+	0.982854i	$0.440971\pi$
$131$	−8.68698	+	15.0463i	−0.758985	+	1.31460i	−0.943369	+	0.331746i	$0.892362\pi$
$132$	−0.299128	+	3.85500i	−0.0260357	+	0.335535i
$133$	3.00679	+	5.20791i	0.260721	+	0.451583i
$134$	−6.19073	+	4.49783i	−0.534798	+	0.388553i
$135$	4.24883	+	2.38384i	0.365681	+	0.205169i
$136$	−2.96612	+	9.12878i	−0.254343	+	0.782787i
$137$	17.6037	+	1.85022i	1.50399	+	0.158075i	0.820398	−	0.571793i	$-0.193752\pi$
$137$	17.6037	+	1.85022i	1.50399	+	0.158075i	0.683588	+	0.729868i	$0.260419\pi$
$138$	−0.962742	+	4.62249i	−0.0819541	+	0.393493i
$139$	4.59184	−	4.13451i	0.389475	−	0.350684i	−0.451011	−	0.892518i	$-0.648936\pi$
$139$	4.59184	−	4.13451i	0.389475	−	0.350684i	0.840486	+	0.541834i	$0.182270\pi$
$140$	−0.535089	−	0.113737i	−0.0452233	−	0.00961251i
$141$	−0.00113785	−	0.277416i	−9.58242e−5	−	0.0233627i
$142$	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
$146$	2.96840	+	2.67276i	0.245666	+	0.221199i
$147$	9.90518	+	4.36148i	0.816965	+	0.359729i
$148$	4.91186	−	2.18690i	0.403752	−	0.179762i
$149$	−6.74352	+	3.00241i	−0.552451	+	0.245967i	−0.663924	−	0.747800i	$-0.731110\pi$
$149$	−6.74352	+	3.00241i	−0.552451	+	0.245967i	0.111472	+	0.993768i	$0.464443\pi$
$150$	7.52479	+	3.31334i	0.614397	+	0.270533i
$151$	10.0206	+	9.02260i	0.815466	+	0.734249i	0.967157	−	0.254179i	$-0.0818053\pi$
$151$	10.0206	+	9.02260i	0.815466	+	0.734249i	−0.151691	+	0.988428i	$0.548472\pi$
$152$	−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
$156$	0.00563877	+	1.37478i	0.000451463	+	0.110070i
$157$	2.86818	+	0.609650i	0.228905	+	0.0486554i	0.320936	−	0.947101i	$-0.396002\pi$
$157$	2.86818	+	0.609650i	0.228905	+	0.0486554i	−0.0920308	+	0.995756i	$0.529336\pi$
$158$	6.46123	−	5.81772i	0.514028	−	0.462833i
$159$	−3.43181	+	16.4774i	−0.272160	+	1.30674i
$160$	3.37851	+	0.355096i	0.267095	+	0.0280728i
$161$	−0.633918	+	1.95100i	−0.0499598	+	0.153760i
$162$	−8.48613	−	5.95530i	−0.666733	−	0.467893i
$163$	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
$165$	−2.05568	+	4.97835i	−0.160035	+	0.387564i
$166$	8.31055	−	14.3943i	0.645024	−	1.11721i
$167$	−0.0673926	−	0.641198i	−0.00521500	−	0.0496174i	0.991605	−	0.129305i	$-0.0412745\pi$
$167$	−0.0673926	−	0.641198i	−0.00521500	−	0.0496174i	−0.996820	+	0.0796872i	$0.974608\pi$
$168$	4.40263	+	1.41056i	0.339670	+	0.108827i
$169$	−11.3557	+	2.41373i	−0.873514	+	0.185671i
$170$	−1.97892	+	2.72374i	−0.151776	+	0.208902i
$171$	4.49395	+	20.3212i	0.343661	+	1.55400i
$172$	−2.45251	−	0.796869i	−0.187002	−	0.0607607i
$173$	−9.02905	+	10.0278i	−0.686466	+	0.762397i	−0.981161	−	0.193194i	$-0.938115\pi$
$173$	−9.02905	+	10.0278i	−0.686466	+	0.762397i	0.294695	+	0.955591i	$0.404782\pi$
$174$	−3.63724	−	6.24063i	−0.275738	−	0.473101i
$175$	3.09357	+	1.78607i	0.233852	+	0.135015i
$176$	−0.594523	+	7.27491i	−0.0448139	+	0.548367i
$177$	14.9857	+	1.51295i	1.12640	+	0.113720i
$178$	−4.35042	+	9.77120i	−0.326078	+	0.732382i
$179$	−1.06341	+	0.345524i	−0.0794832	+	0.0258256i	−0.348489	−	0.937313i	$-0.613305\pi$
$179$	−1.06341	+	0.345524i	−0.0794832	+	0.0258256i	0.269005	+	0.963139i	$0.413305\pi$
$180$	−1.64731	−	0.933142i	−0.122783	−	0.0695523i
$181$	−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	$-0.631521\pi$
$182$	0.123082	−	1.17105i	0.00912347	−	0.0868040i
$183$	−13.8923	−	18.9571i	−1.02695	−	1.40135i
$184$	1.51505	−	7.12777i	0.111691	−	0.525466i
$185$	7.44860	−	0.782879i	0.547632	−	0.0575584i
$186$	−11.5514	+	5.19989i	−0.846990	+	0.381274i
$187$	8.50283	+	5.88149i	0.621789	+	0.430097i
$188$			0.107807i			0.00786262i
$189$	−3.38410	−	2.97248i	−0.246157	−	0.216216i
$190$	−2.31534	−	7.12590i	−0.167973	−	0.516967i
$191$	0.621930	+	2.92595i	0.0450013	+	0.211714i	0.994903	−	0.100833i	$-0.0321509\pi$
$191$	0.621930	+	2.92595i	0.0450013	+	0.211714i	−0.949902	+	0.312548i	$0.898818\pi$
$192$	−14.5407	−	3.02844i	−1.04938	−	0.218559i
$193$	4.02264	+	9.03499i	0.289556	+	0.650353i	0.998491	−	0.0549209i	$-0.0174907\pi$
$193$	4.02264	+	9.03499i	0.289556	+	0.650353i	−0.708935	+	0.705274i	$0.750824\pi$
$194$	−9.39038	−	10.4291i	−0.674190	−	0.748764i
$195$	−0.584308	+	1.82373i	−0.0418431	+	0.130600i
$196$	−3.84223	−	1.71067i	−0.274445	−	0.122191i
$197$	4.94568			0.352365			0.176183	−	0.984357i	$-0.443625\pi$
$197$	4.94568			0.352365			0.176183	+	0.984357i	$0.443625\pi$
$198$	5.41645	−	10.1008i	0.384931	−	0.717834i
$199$	−7.64868			−0.542200			−0.271100	−	0.962551i	$-0.587387\pi$
$199$	−7.64868			−0.542200			−0.271100	+	0.962551i	$0.587387\pi$
$200$	−11.5920	−	5.16109i	−0.819678	−	0.364944i
$201$	−11.2446	+	2.43837i	−0.793136	+	0.171989i
$202$	−4.66958	−	5.18610i	−0.328551	−	0.364893i
$203$	−1.27643	−	2.86692i	−0.0895881	−	0.201218i
$204$	−2.42063	+	2.71066i	−0.169478	+	0.189784i
$205$	0.702418	+	3.30461i	0.0490590	+	0.230804i
$206$	−1.41978	−	4.36965i	−0.0989211	−	0.304448i
$207$	−4.12581	+	5.77777i	−0.286763	+	0.401583i
$208$			2.59526i			0.179949i
$209$	−21.7120	+	7.61535i	−1.50185	+	0.526765i
$210$	1.31577	+	0.947740i	0.0907966	+	0.0654003i
$211$	−23.3763	+	2.45695i	−1.60929	+	0.169143i	−0.866077	−	0.499910i	$-0.833366\pi$
$211$	−23.3763	+	2.45695i	−1.60929	+	0.169143i	−0.743214	+	0.669053i	$0.766700\pi$
$212$	1.35988	−	6.39771i	0.0933966	−	0.439397i
$213$	19.1565	−	2.09290i	1.31258	−	0.143403i
$214$	0.740710	−	7.04738i	0.0506339	−	0.481749i
$215$	−2.90607	−	2.11139i	−0.198193	−	0.143995i
$216$	13.0589	+	9.24450i	0.888545	+	0.629009i
$217$	−5.23434	+	1.70074i	−0.355330	+	0.115454i
$218$	7.93517	−	17.8227i	0.537437	−	1.20710i
$219$	2.46536	+	5.47672i	0.166594	+	0.370083i
$220$	0.806781	−	1.93133i	0.0543932	−	0.130210i
$221$	3.18352	+	1.83800i	0.214146	+	0.123638i
$222$	−15.9376	+	0.0653696i	−1.06966	+	0.00438732i
$223$	−13.9842	+	15.5310i	−0.936449	+	1.04003i	0.0626689	+	0.998034i	$0.480039\pi$
$223$	−13.9842	+	15.5310i	−0.936449	+	1.04003i	−0.999118	+	0.0419974i	$0.986628\pi$
$224$	−2.98702	−	0.970542i	−0.199579	−	0.0648470i
$225$	8.34738	+	9.11914i	0.556492	+	0.607943i
$226$	−5.42069	+	7.46094i	−0.360579	+	0.496294i
$227$	11.6179	−	2.46947i	0.771109	−	0.163904i	0.194475	−	0.980907i	$-0.437700\pi$
$227$	11.6179	−	2.46947i	0.771109	−	0.163904i	0.576633	+	0.817003i	$0.304366\pi$
$228$	−1.71397	−	7.90406i	−0.113511	−	0.523459i
$229$	−1.02448	−	9.74727i	−0.0676995	−	0.644118i	−0.974781	−	0.223163i	$-0.928362\pi$
$229$	−1.02448	−	9.74727i	−0.0676995	−	0.644118i	0.907082	−	0.420955i	$-0.138305\pi$
$230$	1.27797	−	2.21351i	0.0842670	−	0.145955i
$231$	2.81595	−	4.10690i	0.185276	−	0.270214i
$232$	5.57383	+	9.65415i	0.365940	+	0.633826i
$233$	12.6222	−	9.17056i	0.826907	−	0.600783i	−0.0917755	−	0.995780i	$-0.529254\pi$
$233$	12.6222	−	9.17056i	0.826907	−	0.600783i	0.918683	+	0.394997i	$0.129254\pi$
$234$	1.62693	−	3.73633i	0.106356	−	0.244252i
$235$	−0.0464058	+	0.142823i	−0.00302718	+	0.00931671i
$236$	−5.82110	−	0.611822i	−0.378921	−	0.0398262i
$237$	12.4167	−	4.09080i	0.806548	−	0.265726i
$238$	2.31314	−	2.08277i	0.149939	−	0.135006i
$239$	29.3191	+	6.23198i	1.89650	+	0.403113i	0.999261	−	0.0384367i	$-0.0122378\pi$
$239$	29.3191	+	6.23198i	1.89650	+	0.403113i	0.897237	+	0.441550i	$0.145571\pi$
$240$	−3.10247	−	1.77428i	−0.200263	−	0.114529i
$241$	−1.64353	+	0.948892i	−0.105869	+	0.0611235i	−0.552000	−	0.833844i	$-0.686135\pi$
$241$	−1.64353	+	0.948892i	−0.105869	+	0.0611235i	0.446131	+	0.894968i	$0.352802\pi$
$242$	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
$245$	−4.35383	−	3.92020i	−0.278156	−	0.250453i
$246$	−0.780800	−	7.14672i	−0.0497820	−	0.455658i
$247$	−7.47362	+	3.32747i	−0.475535	+	0.211722i
$248$	17.8601	−	7.95184i	1.13412	−	0.504942i
$249$	20.1584	−	14.7727i	1.27749	−	0.936180i
$250$	−7.32063	−	6.59152i	−0.462997	−	0.416885i
$251$	−1.59530	−	2.19574i	−0.100694	−	0.138594i	0.755696	−	0.654922i	$-0.227299\pi$
$251$	−1.59530	−	2.19574i	−0.100694	−	0.138594i	−0.856391	+	0.516328i	$0.827299\pi$
$252$	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
$255$	−4.37366	+	2.54911i	−0.273889	+	0.159632i
$256$	13.8107	+	2.93555i	0.863166	+	0.183472i
$257$	6.33303	−	5.70229i	0.395044	−	0.355699i	−0.447540	−	0.894264i	$-0.647700\pi$
$257$	6.33303	−	5.70229i	0.395044	−	0.355699i	0.842584	+	0.538565i	$0.181033\pi$
$258$	5.70147	+	5.09143i	0.354958	+	0.316979i
$259$	−6.88644	−	0.723794i	−0.427903	−	0.0449744i
$260$	0.229971	−	0.707777i	0.0142622	−	0.0438945i
$261$	−1.22385	−	10.7918i	−0.0757546	−	0.667998i
$262$	−16.1911	+	11.7636i	−1.00029	+	0.726755i
$263$	11.9263	+	20.6569i	0.735407	+	1.27376i	0.954545	+	0.298068i	$0.0963422\pi$
$263$	11.9263	+	20.6569i	0.735407	+	1.27376i	−0.219138	+	0.975694i	$0.570324\pi$
$264$	−8.42312	+	15.5542i	−0.518407	+	0.957298i
$265$	4.55549	−	7.89033i	0.279841	−	0.484699i
$266$	0.724083	+	6.88919i	0.0443964	+	0.422403i
$267$	−11.9075	+	10.8103i	−0.728726	+	0.661580i
$268$	4.37359	−	0.929636i	0.267160	−	0.0567865i
$269$	−14.1414	+	19.4640i	−0.862219	+	1.18674i	0.118817	+	0.992916i	$0.462090\pi$
$269$	−14.1414	+	19.4640i	−0.862219	+	1.18674i	−0.981036	+	0.193826i	$0.937910\pi$
$270$	3.35427	+	4.49928i	0.204134	+	0.273817i
$271$	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	$0.471648\pi$
$272$	−4.59050	+	5.09827i	−0.278340	+	0.309128i
$273$	0.878963	−	1.53693i	0.0531973	−	0.0930194i
$274$	17.6580	+	10.1949i	1.06676	+	0.615894i
$275$	−8.90750	+	10.3662i	−0.537143	+	0.625104i
$276$	1.61251	−	2.23868i	0.0970618	−	0.134753i
$277$	2.71457	−	6.09703i	0.163103	−	0.366335i	−0.813443	−	0.581645i	$-0.802409\pi$
$277$	2.71457	−	6.09703i	0.163103	−	0.366335i	0.976546	+	0.215310i	$0.0690761\pi$
$278$	6.76925	−	2.19946i	0.405993	−	0.131915i
$279$	−19.0470	+	0.156249i	−1.14031	+	0.00935437i
$280$	−2.02462	−	1.47097i	−0.120994	−	0.0879073i
$281$	0.0641536	−	0.610381i	0.00382709	−	0.0364123i	−0.992442	−	0.122717i	$-0.960839\pi$
$281$	0.0641536	−	0.610381i	0.00382709	−	0.0364123i	0.996269	+	0.0863048i	$0.0275059\pi$
$282$	0.128780	−	0.292466i	0.00766872	−	0.0174161i
$283$	−3.93076	+	18.4928i	−0.233659	+	1.09928i	0.692286	+	0.721623i	$0.256604\pi$
$283$	−3.93076	+	18.4928i	−0.233659	+	1.09928i	−0.925945	+	0.377658i	$0.876730\pi$
$284$	−7.44761	+	0.782775i	−0.441934	+	0.0464491i
$285$	1.13166	−	11.2091i	0.0670337	−	0.663969i
$286$	4.31589	+	1.29253i	0.255204	+	0.0764288i
$287$		−	3.12347i		−	0.184372i
$288$	−8.84588	−	6.31669i	−0.521248	−	0.372215i
$289$	−2.25049	−	6.92628i	−0.132381	−	0.407428i
$290$	0.812951	+	3.82464i	0.0477382	+	0.224590i
$291$	−6.60295	−	20.0417i	−0.387072	−	1.17487i
$292$	−0.949317	−	2.13220i	−0.0555546	−	0.124778i
$293$	−1.40704	−	1.56267i	−0.0822000	−	0.0912923i	0.700642	−	0.713513i	$-0.252897\pi$
$293$	−1.40704	−	1.56267i	−0.0822000	−	0.0912923i	−0.782842	+	0.622221i	$0.786231\pi$
$294$	8.38003	+	9.23055i	0.488733	+	0.538337i
$295$	−7.44844	−	3.31626i	−0.433665	−	0.193080i
$296$	24.5968			1.42966
$297$	13.5742	−	10.6179i	0.787656	−	0.616116i
$298$	−8.50312			−0.492572
$299$	−2.54947	−	1.13510i	−0.147440	−	0.0656443i
$300$	−3.22928	−	3.55704i	−0.186443	−	0.205366i
$301$	2.22219	+	2.46799i	0.128085	+	0.142252i
$302$	6.31765	+	14.1897i	0.363540	+	0.816524i
$303$	−3.28347	−	9.96621i	−0.188630	−	0.572544i
$304$	−3.17433	−	14.9341i	−0.182061	−	0.856527i
$305$	3.93143	+	12.0997i	0.225113	+	0.692827i
$306$	9.80486	−	4.46213i	0.560506	−	0.255083i
$307$			17.6110i			1.00511i	0.864545	+	0.502556i	$0.167607\pi$
$307$			17.6110i			1.00511i	−0.864545	+	0.502556i	$0.832393\pi$
$308$	−1.10083	+	1.59147i	−0.0627258	+	0.0906823i
$309$	0.693942	−	6.87349i	0.0394770	−	0.391019i
$310$	6.81979	−	0.716789i	0.387338	−	0.0407109i
$311$	2.28802	−	10.7643i	0.129741	−	0.610385i	−0.864446	−	0.502725i	$-0.832331\pi$
$311$	2.28802	−	10.7643i	0.129741	−	0.610385i	0.994188	−	0.107660i	$-0.0343359\pi$
$312$	−2.53448	+	5.75596i	−0.143487	+	0.325867i
$313$	0.407815	−	3.88010i	0.0230511	−	0.219316i	−0.976932	−	0.213549i	$-0.931498\pi$
$313$	0.407815	−	3.88010i	0.0230511	−	0.219316i	0.999983	−	0.00576709i	$-0.00183573\pi$
$314$	2.73263	+	1.98537i	0.154211	+	0.112041i
$315$	1.23639	+	2.10149i	0.0696626	+	0.118405i
$316$	−4.83167	+	1.56991i	−0.271803	+	0.0883141i
$317$	−8.78636	+	19.7345i	−0.493491	+	1.10840i	0.479497	+	0.877544i	$0.340819\pi$
$317$	−8.78636	+	19.7345i	−0.493491	+	1.10840i	−0.972988	+	0.230856i	$0.925847\pi$
$318$	−11.3315	+	15.7318i	−0.635439	+	0.882194i
$319$	11.6839	−	2.76799i	0.654173	−	0.154978i
$320$	6.96292	+	4.02004i	0.389239	+	0.224727i
$321$	5.28960	−	9.24926i	0.295237	−	0.516243i
$322$	−1.58119	+	1.75609i	−0.0881161	+	0.0978628i
$323$	−20.5672	−	6.68269i	−1.14439	−	0.371835i
$324$	3.11455	+	5.19579i	0.173030	+	0.288655i
$325$	−2.85638	+	3.93148i	−0.158444	+	0.218079i
$326$	24.8093	−	5.27338i	1.37406	−	0.292065i
$327$	21.7193	−	19.7180i	1.20108	−	1.09041i
$328$	1.15977	+	11.0344i	0.0640373	+	0.609274i
$329$	0.0694194	−	0.120238i	0.00382722	−	0.00662893i
$330$	−4.49575	+	4.27571i	−0.247483	+	0.235370i
$331$	3.42603	+	5.93405i	0.188311	+	0.326165i	0.944687	−	0.327972i	$-0.106365\pi$
$331$	3.42603	+	5.93405i	0.188311	+	0.326165i	−0.756376	+	0.654137i	$0.773032\pi$
$332$	−7.85719	+	5.70858i	−0.431219	+	0.313299i
$333$	−21.9718	−	9.56728i	−1.20405	−	0.524284i
$334$	0.229499	−	0.706326i	0.0125576	−	0.0386485i
$335$	6.19430	+	0.651048i	0.338431	+	0.0355705i
$336$	2.46459	+	2.20089i	0.134454	+	0.120068i
$337$	−0.549304	+	0.494595i	−0.0299225	+	0.0269423i	−0.683956	−	0.729523i	$-0.739742\pi$
$337$	−0.549304	+	0.494595i	−0.0299225	+	0.0269423i	0.654034	+	0.756465i	$0.273075\pi$
$338$	−13.0808	−	2.78041i	−0.711502	−	0.151235i
$339$	−11.9804	+	6.98258i	−0.650688	+	0.379242i
$340$	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
$344$	−8.76681	−	7.89367i	−0.472675	−	0.425598i
$345$	3.09991	−	2.27170i	0.166893	−	0.122304i
$346$	−14.1998	+	6.32216i	−0.763386	+	0.339882i
$347$	−10.8753	+	4.84200i	−0.583818	+	0.259932i	−0.677322	−	0.735687i	$-0.736860\pi$
$347$	−10.8753	+	4.84200i	−0.583818	+	0.259932i	0.0935047	+	0.995619i	$0.470193\pi$
$348$	0.458392	+	4.19570i	0.0245724	+	0.224913i
$349$	−7.57043	−	6.81644i	−0.405236	−	0.364876i	0.441162	−	0.897428i	$-0.354566\pi$
$349$	−7.57043	−	6.81644i	−0.405236	−	0.364876i	−0.846397	+	0.532552i	$0.821233\pi$
$350$	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	0.452935	−	0.891544i	$-0.350377\pi$
$353$	27.2712	−	15.7451i	1.45150	−	0.838025i	0.998567	+	0.0535191i	$0.0170438\pi$
$354$	15.0611	+	8.61334i	0.800487	+	0.457794i
$355$	−10.2035	−	2.16883i	−0.541548	−	0.115110i
$356$	4.64452	−	4.18194i	0.246159	−	0.221643i
$357$	4.44521	−	1.46452i	0.235265	−	0.0775106i
$358$	−1.28095	−	0.134633i	−0.0677001	−	0.00711557i
$359$	−8.57599	+	26.3942i	−0.452624	+	1.39303i	0.421279	+	0.906931i	$0.361581\pi$
$359$	−8.57599	+	26.3942i	−0.452624	+	1.39303i	−0.873903	+	0.486101i	$0.838419\pi$
$360$	−5.14815	−	6.96494i	−0.271331	−	0.367085i
$361$	23.5646	−	17.1207i	1.24024	−	0.901090i
$362$	−13.3769	−	23.1694i	−0.703073	−	1.21776i
$363$	13.4466	+	13.4978i	0.705761	+	0.708450i
$364$	−0.344018	+	0.595856i	−0.0180314	+	0.0312313i
$365$	−0.339842	−	3.23338i	−0.0177881	−	0.169243i
$366$	−5.73735	−	26.4580i	−0.299896	−	1.38298i
$367$	16.5170	−	3.51080i	0.862181	−	0.183262i	0.244460	−	0.969659i	$-0.421389\pi$
$367$	16.5170	−	3.51080i	0.862181	−	0.183262i	0.617721	+	0.786397i	$0.288056\pi$
$368$	3.06133	−	4.21357i	0.159583	−	0.219647i
$369$	3.25600	−	10.3079i	0.169501	−	0.536608i
$370$	8.20517	+	2.66602i	0.426567	+	0.138600i
$371$	−5.63633	+	6.25977i	−0.292623	+	0.324991i
$372$	7.40198	−	0.0303599i	0.383775	−	0.00157409i
$373$	−5.20412	−	3.00460i	−0.269459	−	0.155572i	0.359183	−	0.933267i	$-0.383056\pi$
$373$	−5.20412	−	3.00460i	−0.269459	−	0.155572i	−0.628642	+	0.777695i	$0.716389\pi$
$374$	6.19214	+	10.1731i	0.320188	+	0.526037i
$375$	−6.08004	−	13.5066i	−0.313972	−	0.697479i
$376$	−0.200596	+	0.450547i	−0.0103450	+	0.0232352i
$377$	4.06031	−	1.31928i	0.209117	−	0.0679462i
$378$	−2.16850	−	4.71357i	−0.111536	−	0.242440i
$379$	−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	$0.770121\pi$
$380$	−0.457633	+	4.35409i	−0.0234761	+	0.223360i
$381$	−10.9407	+	1.19531i	−0.560511	+	0.0612375i
$382$	−0.716412	+	3.37045i	−0.0366548	+	0.172447i
$383$	−10.0689	+	1.05828i	−0.514495	+	0.0540756i	−0.358219	−	0.933638i	$-0.616616\pi$
$383$	−10.0689	+	1.05828i	−0.514495	+	0.0540756i	−0.156276	+	0.987713i	$0.549949\pi$
$384$	−3.69836	−	2.66390i	−0.188731	−	0.135942i
$385$	−2.14344	+	1.63452i	−0.109240	+	0.0833029i
$386$			11.3925i			0.579863i
$387$	4.76083	+	10.4612i	0.242007	+	0.531773i
$388$	2.53398	+	7.79880i	0.128644	+	0.395924i
$389$	1.94019	+	9.12788i	0.0983716	+	0.462802i	0.999568	+	0.0293909i	$0.00935677\pi$
$389$	1.94019	+	9.12788i	0.0983716	+	0.462802i	−0.901196	+	0.433411i	$0.857310\pi$
$390$	−1.46935	+	1.64540i	−0.0744035	+	0.0833182i
$391$	−3.00055	−	6.73934i	−0.151744	−	0.340823i
$392$	−12.8744	−	14.2985i	−0.650257	−	0.722183i
$393$	−29.4091	+	6.37727i	−1.48349	+	0.321691i
$394$	5.20449	+	2.31719i	0.262198	+	0.116738i
$395$	−7.07678			−0.356071
$396$	−5.29191	+	4.10453i	−0.265928	+	0.206261i
$397$	10.3328			0.518587			0.259294	−	0.965799i	$-0.416510\pi$
$397$	10.3328			0.518587			0.259294	+	0.965799i	$0.416510\pi$
$398$	−8.04892	−	3.58361i	−0.403456	−	0.179630i
$399$	−3.17801	+	9.91914i	−0.159099	+	0.496578i
$400$	−6.06850	−	6.73976i	−0.303425	−	0.336988i
$401$	−6.03316	−	13.5507i	−0.301282	−	0.676690i	0.697939	−	0.716157i	$-0.254101\pi$
$401$	−6.03316	−	13.5507i	−0.301282	−	0.676690i	−0.999221	+	0.0394673i	$0.987434\pi$
$402$	−12.9755	−	2.70245i	−0.647159	−	0.134786i
$403$	−1.55669	−	7.32367i	−0.0775444	−	0.364818i
$404$	1.26008	+	3.87814i	0.0626915	+	0.192944i
$405$	1.88961	+	8.22406i	0.0938953	+	0.408657i
$406$		−	3.61498i		−	0.179409i
$407$	7.60080	−	25.3799i	0.376758	−	1.25804i
$408$	−15.1600	+	6.82432i	−0.750533	+	0.337854i
$409$	−8.68807	+	0.913153i	−0.429597	+	0.0451525i	−0.316860	−	0.948472i	$-0.602629\pi$
$409$	−8.68807	+	0.913153i	−0.429597	+	0.0451525i	−0.112737	+	0.993625i	$0.535962\pi$
$410$	−0.809127	+	3.80664i	−0.0399599	+	0.187997i
$411$	18.1222	+	24.7291i	0.893901	+	1.21980i
$412$	−0.280624	+	2.66996i	−0.0138253	+	0.131539i
$413$	6.09836	+	4.43072i	0.300081	+	0.218021i
$414$	−7.04875	+	4.14706i	−0.346427	+	0.203817i
$415$	−12.8665	+	4.18058i	−0.631591	+	0.205216i
$416$	1.73785	−	3.90329i	0.0852053	−	0.191374i
$417$	10.6481	+	1.07502i	0.521439	+	0.0526440i
$418$	−26.4161	−	2.15879i	−1.29205	−	0.105590i
$419$	−30.4601	−	17.5861i	−1.48807	−	0.859139i	−0.488165	−	0.872752i	$-0.662333\pi$
$419$	−30.4601	−	17.5861i	−1.48807	−	0.859139i	−0.999907	+	0.0136128i	$0.995667\pi$
$420$	−0.477115	−	0.818615i	−0.0232808	−	0.0399443i
$421$	−1.06753	+	1.18561i	−0.0520281	+	0.0577831i	−0.768597	−	0.639733i	$-0.779045\pi$
$421$	−1.06753	+	1.18561i	−0.0520281	+	0.0577831i	0.716569	+	0.697516i	$0.245712\pi$
$422$	−25.7507	−	8.36692i	−1.25353	−	0.407295i
$423$	0.354434	−	0.324438i	0.0172332	−	0.0157747i
$424$	17.5874	−	24.2070i	0.854121	−	1.17560i
$425$	−12.5652	+	2.67082i	−0.609503	+	0.129554i
$426$	21.1395	+	6.77290i	1.02421	+	0.328148i
$427$	−1.22949	−	11.6978i	−0.0594990	−	0.566095i
$428$	−2.07030	+	3.58586i	−0.100072	+	0.173329i
$429$	5.15602	+	4.39385i	0.248935	+	0.212137i
$430$	−2.06890	−	3.58345i	−0.0997714	−	0.172809i
$431$	23.8660	−	17.3397i	1.14959	−	0.835223i	0.161160	−	0.986928i	$-0.448477\pi$
$431$	23.8660	−	17.3397i	1.14959	−	0.835223i	0.988426	+	0.151706i	$0.0484766\pi$
$432$	5.83922	+	9.83241i	0.280940	+	0.473062i
$433$	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	$0.0111863\pi$
$434$	−6.30509	−	0.662692i	−0.302654	−	0.0318102i
$435$	−1.19878	+	5.75578i	−0.0574769	+	0.275969i
$436$	−8.47161	+	7.62787i	−0.405716	+	0.365309i
$437$	16.0589	+	3.41343i	0.768202	+	0.163286i
$438$	0.0283765	+	6.91840i	0.00135588	+	0.330574i
$439$	−2.63084	+	1.51891i	−0.125563	+	0.0724938i	−0.561466	−	0.827500i	$-0.689762\pi$
$439$	−2.63084	+	1.51891i	−0.125563	+	0.0724938i	0.435903	+	0.899994i	$0.356429\pi$
$440$	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
$443$	12.3005	+	11.0754i	0.584415	+	0.526210i	0.907440	−	0.420181i	$-0.138033\pi$
$443$	12.3005	+	11.0754i	0.584415	+	0.526210i	−0.323026	+	0.946390i	$0.604700\pi$
$444$	8.52305	+	3.75290i	0.404486	+	0.178105i
$445$	7.95320	−	3.54099i	0.377018	−	0.167859i
$446$	−21.9926	+	9.79175i	−1.04138	+	0.463653i
$447$	−11.7014	−	5.15238i	−0.553455	−	0.243699i
$448$	−5.52401	−	4.97385i	−0.260985	−	0.234992i
$449$	0.152765	+	0.210263i	0.00720943	+	0.00992293i	0.812606	−	0.582813i	$-0.198048\pi$
$449$	0.152765	+	0.210263i	0.00720943	+	0.00992293i	−0.805397	+	0.592736i	$0.798048\pi$
$450$	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
$453$	0.0957923	+	23.3549i	0.00450071	+	1.09731i
$454$	13.3829	+	2.84462i	0.628090	+	0.133505i
$455$	−0.712244	+	0.641307i	−0.0333905	+	0.0300649i
$456$	7.54405	−	36.2219i	0.353283	−	1.69624i
$457$	5.41010	+	0.568624i	0.253074	+	0.0265991i	0.230216	−	0.973140i	$-0.426057\pi$
$457$	5.41010	+	0.568624i	0.253074	+	0.0265991i	0.0228580	+	0.999739i	$0.492723\pi$
$458$	3.48877	−	10.7373i	0.163019	−	0.501722i
$459$	16.1965	−	0.199303i	0.755988	−	0.00930269i
$460$	−1.20826	+	0.877849i	−0.0563352	+	0.0409299i
$461$	−14.6816	−	25.4292i	−0.683789	−	1.18436i	−0.973816	−	0.227339i	$-0.926997\pi$
$461$	−14.6816	−	25.4292i	−0.683789	−	1.18436i	0.290026	−	0.957019i	$-0.406336\pi$
$462$	4.88750	−	3.00247i	0.227387	−	0.139687i
$463$	−10.1913	+	17.6519i	−0.473632	+	0.820354i	−0.999544	−	0.0301843i	$-0.990391\pi$
$463$	−10.1913	+	17.6519i	−0.473632	+	0.820354i	0.525913	+	0.850539i	$0.323724\pi$
$464$	0.832838	+	7.92393i	0.0386635	+	0.367859i
$465$	9.81922	+	3.14599i	0.455355	+	0.145892i
$466$	17.5793	−	3.73661i	0.814348	−	0.173095i
$467$	−0.293731	+	0.404285i	−0.0135922	+	0.0187081i	−0.815759	−	0.578392i	$-0.803680\pi$
$467$	−0.293731	+	0.404285i	−0.0135922	+	0.0187081i	0.802167	+	0.597100i	$0.203680\pi$
$468$	−1.75645	+	1.60780i	−0.0811918	+	0.0743205i
$469$	−5.47653	−	1.77943i	−0.252882	−	0.0821665i
$470$	−0.115750	+	0.128554i	−0.00533917	+	0.00592975i
$471$	2.55743	+	4.38793i	0.117840	+	0.202185i
$472$	−23.1891	−	13.3883i	−1.06737	−	0.616244i
$473$	−10.8541	+	6.60665i	−0.499070	+	0.303774i
$474$	14.9831	+	1.51268i	0.688194	+	0.0694795i
$475$	11.6280	−	26.1168i	0.533528	−	1.19832i
$476$	−1.72976	+	0.562032i	−0.0792833	+	0.0257607i
$477$	−25.1261	+	14.7827i	−1.15044	+	0.676853i
$478$	27.9335	+	20.2949i	1.27765	+	0.928267i
$479$	1.12336	−	10.6880i	0.0513276	−	0.488349i	−0.938417	−	0.345504i	$-0.887708\pi$
$479$	1.12336	−	10.6880i	0.0513276	−	0.488349i	0.989745	−	0.142845i	$-0.0456252\pi$
$480$	3.47802	+	4.74602i	0.158749	+	0.216625i
$481$	1.95852	−	9.21411i	0.0893008	−	0.420127i
$482$	−2.17411	+	0.228509i	−0.0990282	+	0.0104083i
$483$	−3.23999	+	1.45849i	−0.147425	+	0.0663636i
$484$	−5.20386	−	5.26672i	−0.236539	−	0.239396i
$485$			11.4226i			0.518675i
$486$	−2.24279	−	17.8160i	−0.101735	−	0.808150i
$487$	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	$0.656911\pi$
$488$	8.68693	+	40.8688i	0.393239	+	1.85004i
$489$	37.3360	+	7.77610i	1.68839	+	0.351648i
$490$	−2.74494	−	6.16523i	−0.124004	−	0.278517i
$491$	16.7764	+	18.6321i	0.757109	+	0.840855i	0.991339	−	0.131327i	$-0.0419237\pi$
$491$	16.7764	+	18.6321i	0.757109	+	0.840855i	−0.234230	+	0.972181i	$0.575257\pi$
$492$	−1.28172	+	4.00050i	−0.0577845	+	0.180356i
$493$	10.3098	+	4.59023i	0.464331	+	0.206734i
$494$	−9.42371			−0.423993
$495$	−8.77754	+	3.15977i	−0.394521	+	0.142021i
$496$	13.9732			0.627417
$497$	8.81044	+	3.92266i	0.395202	+	0.175955i
$498$	28.1347	−	6.10093i	1.26075	−	0.273389i
$499$	3.32579	+	3.69366i	0.148883	+	0.165351i	0.812973	−	0.582301i	$-0.197848\pi$
$499$	3.32579	+	3.69366i	0.148883	+	0.165351i	−0.664090	+	0.747652i	$0.731181\pi$
$500$	2.34120	+	5.25841i	0.104701	+	0.235163i
$501$	0.743811	−	0.832931i	0.0332310	−	0.0372126i
$502$	−0.650016	−	3.05808i	−0.0290116	−	0.136489i
$503$	−11.3085	−	34.8039i	−0.504219	−	1.55183i	−0.802079	−	0.597218i	$-0.796273\pi$
$503$	−11.3085	−	34.8039i	−0.504219	−	1.55183i	0.297860	−	0.954610i	$-0.403727\pi$
$504$	3.31680	+	7.28816i	0.147742	+	0.324640i
$505$			5.68017i			0.252764i
$506$	−5.48247	−	7.18946i	−0.243725	−	0.319611i
$507$	−16.3161	−	11.7524i	−0.724623	−	0.521942i
$508$	4.25351	−	0.447062i	0.188719	−	0.0198352i
$509$	2.90072	−	13.6468i	0.128572	−	0.604884i	−0.865930	−	0.500165i	$-0.833273\pi$
$509$	2.90072	−	13.6468i	0.128572	−	0.604884i	0.994502	−	0.104718i	$-0.0333941\pi$
$510$	−5.79686	+	0.633324i	−0.256689	+	0.0280441i
$511$	−0.314194	+	2.98935i	−0.0138991	+	0.132241i
$512$	17.4158	+	12.6533i	0.769677	+	0.559203i
$513$	−20.8279	+	29.4218i	−0.919575	+	1.29900i
$514$	9.33611	−	3.03349i	0.411798	−	0.133801i
$515$	−1.52106	+	3.41636i	−0.0670261	+	0.150543i
$516$	−1.83340	−	4.07285i	−0.0807110	−	0.179297i
$517$	0.402903	+	0.346208i	0.0177196	+	0.0152262i
$518$	−6.90769	−	3.98815i	−0.303506	−	0.175229i
$519$	−23.3716	+	0.0958607i	−1.02590	+	0.00420782i
$520$	2.27806	−	2.53004i	0.0998994	−	0.110950i
$521$	6.74242	+	2.19075i	0.295391	+	0.0959783i	0.452963	−	0.891529i	$-0.350367\pi$
$521$	6.74242	+	2.19075i	0.295391	+	0.0959783i	−0.157573	+	0.987507i	$0.550367\pi$
$522$	3.76837	−	11.9300i	0.164937	−	0.522161i
$523$	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	$0.110261\pi$
$524$	11.4386	−	2.43135i	0.499699	−	0.106214i
$525$	1.31119	+	6.04661i	0.0572251	+	0.263896i
$526$	2.87205	+	27.3257i	0.125227	+	1.19146i
$527$	9.89606	−	17.1405i	0.431079	−	0.746651i
$528$	−10.0215	+	7.70731i	−0.436131	+	0.335418i
$529$	−8.69973	−	15.0684i	−0.378249	−	0.655147i
$530$	8.49070	−	6.16886i	0.368813	−	0.267958i
$531$	15.5068	+	20.9791i	0.672936	+	0.910417i
$532$	1.25079	−	3.84955i	0.0542288	−	0.166899i
$533$	4.22591	+	0.444161i	0.183044	+	0.0192387i
$534$	−17.5955	+	5.79702i	−0.761432	+	0.250862i
$535$	−4.28628	+	3.85939i	−0.185312	+	0.166856i
$536$	20.0079	+	4.25281i	0.864210	+	0.183694i
$537$	−1.68116	−	0.961449i	−0.0725476	−	0.0414896i
$538$	−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	$0.773137\pi$
$542$	11.0593	+	9.95783i	0.475037	+	0.427725i
$543$	−4.36898	−	39.9896i	−0.187491	−	1.71612i
$544$	10.3181	−	4.59390i	0.442384	−	0.196962i
$545$	−14.5066	+	6.45877i	−0.621396	+	0.276663i
$546$	1.64505	−	1.20554i	0.0704017	−	0.0515924i
$547$	8.02752	+	7.22801i	0.343232	+	0.309047i	0.822660	−	0.568534i	$-0.192489\pi$
$547$	8.02752	+	7.22801i	0.343232	+	0.309047i	−0.479428	+	0.877581i	$0.659156\pi$
$548$	−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
$552$	10.9045	−	6.35552i	0.464128	−	0.270509i
$553$	6.39972	+	1.36030i	0.272144	+	0.0578459i
$554$	5.71325	−	5.14423i	0.242733	−	0.218557i
$555$	9.67590	+	8.64062i	0.410719	+	0.366774i
$556$	−4.13617	−	0.434729i	−0.175413	−	0.0184366i
$557$	−7.06108	+	21.7318i	−0.299188	+	0.920805i	0.682595	+	0.730797i	$0.260851\pi$
$557$	−7.06108	+	21.7318i	−0.299188	+	0.920805i	−0.981783	+	0.190008i	$0.939149\pi$
$558$	−20.1169	−	8.75961i	−0.851617	−	0.370824i
$559$	−3.65507	+	2.65556i	−0.154593	+	0.112318i
$560$	−0.894330	−	1.54903i	−0.0377924	−	0.0654583i
$561$	2.35690	+	17.7515i	0.0995084	+	0.749468i
$562$	0.353491	−	0.612264i	0.0149111	−	0.0258268i
$563$	1.13351	+	10.7847i	0.0477720	+	0.454520i	0.992094	+	0.125497i	$0.0400526\pi$
$563$	1.13351	+	10.7847i	0.0477720	+	0.454520i	−0.944322	+	0.329023i	$0.893281\pi$
$564$	−0.138251	+	0.125513i	−0.00582143	+	0.00528504i
$565$	7.34233	−	1.56066i	0.308894	−	0.0656575i
$566$	−12.8008	+	17.6188i	−0.538058	+	0.740574i
$567$	−0.127988	−	7.80045i	−0.00537499	−	0.327588i
$568$	−32.5816	−	10.5864i	−1.36709	−	0.444195i
$569$	11.2554	−	12.5004i	0.471849	−	0.524042i	−0.459495	−	0.888180i	$-0.651970\pi$
$569$	11.2554	−	12.5004i	0.471849	−	0.524042i	0.931345	+	0.364138i	$0.118636\pi$
$570$	6.44264	−	11.2654i	0.269852	−	0.471857i
$571$	−14.1246	−	8.15487i	−0.591098	−	0.341271i	0.174434	−	0.984669i	$-0.444191\pi$
$571$	−14.1246	−	8.15487i	−0.591098	−	0.341271i	−0.765532	+	0.643398i	$0.777524\pi$
$572$	−1.99664	−	1.71568i	−0.0834838	−	0.0717363i
$573$	−3.02816	+	4.20406i	−0.126503	+	0.175627i
$574$	1.46343	−	3.28692i	0.0610823	−	0.137193i
$575$	9.27503	−	3.01364i	0.386795	−	0.125677i
$576$	−13.0452	−	22.1728i	−0.543548	−	0.923868i
$577$	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	$0.646358\pi$
$578$	0.876899	−	8.34314i	0.0364742	−	0.347029i
$579$	−6.90317	+	15.6775i	−0.286886	+	0.651535i
$580$	0.475022	−	2.23480i	0.0197242	−	0.0927952i
$581$	12.4391	−	1.30740i	0.516061	−	0.0542401i
$582$	2.44161	−	24.1841i	0.101208	−	1.00246i
$583$	−19.5429	−	25.6277i	−0.809384	−	1.06139i
$584$		−	10.6773i		−	0.441830i
$585$	−3.01903	+	1.37394i	−0.124821	+	0.0568055i
$586$	−0.748511	−	2.30368i	−0.0309207	−	0.0951642i
$587$	3.27214	+	15.3942i	0.135056	+	0.635387i	0.992646	+	0.121053i	$0.0386272\pi$
$587$	3.27214	+	15.3942i	0.135056	+	0.635387i	−0.857590	+	0.514333i	$0.828039\pi$
$588$	−2.27951	−	6.91891i	−0.0940053	−	0.285331i
$589$	17.9155	+	40.2390i	0.738197	+	1.65802i
$590$	−6.28445	−	6.97959i	−0.258727	−	0.287345i
$591$	5.75795	+	6.34235i	0.236850	+	0.260889i
$592$	16.0602	+	7.15048i	0.660072	+	0.293883i
$593$	−22.2880			−0.915258			−0.457629	−	0.889143i	$-0.651301\pi$
$593$	−22.2880			−0.915258			−0.457629	+	0.889143i	$0.651301\pi$
$594$	19.2593	−	4.81369i	0.790220	−	0.197508i
$595$	−2.53351			−0.103864
$596$	4.53897	+	2.02088i	0.185924	+	0.0827785i
$597$	−8.90488	−	9.80867i	−0.364452	−	0.401442i
$598$	−2.15105	−	2.38899i	−0.0879632	−	0.0976930i
$599$	−11.6351	−	26.1329i	−0.475398	−	1.06776i	−0.979006	−	0.203830i	$-0.934661\pi$
$599$	−11.6351	−	26.1329i	−0.475398	−	1.06776i	0.503608	−	0.863932i	$-0.332006\pi$
$600$	−6.87726	−	20.8743i	−0.280763	−	0.852190i
$601$	1.48234	+	6.97385i	0.0604658	+	0.284469i	0.997984	−	0.0634672i	$-0.0202158\pi$
$601$	1.48234	+	6.97385i	0.0604658	+	0.284469i	−0.937518	+	0.347936i	$0.886882\pi$
$602$	1.18215	+	3.63829i	0.0481809	+	0.148286i
$603$	−16.2184	−	11.5813i	−0.660464	−	0.471626i
$604$		−	9.07594i		−	0.369295i
$605$	−4.62701	−	9.21737i	−0.188115	−	0.374740i
$606$	1.21415	−	12.0261i	0.0493214	−	0.488528i
$607$	4.54350	−	0.477541i	0.184415	−	0.0193828i	−0.0118708	−	0.999930i	$-0.503779\pi$
$607$	4.54350	−	0.477541i	0.184415	−	0.0193828i	0.196286	+	0.980547i	$0.437112\pi$
$608$	−5.22603	+	24.5865i	−0.211943	+	0.997115i
$609$	2.19046	−	4.97467i	0.0887620	−	0.201584i
$610$	−1.53188	+	14.5749i	−0.0620239	+	0.590118i
$611$	0.152805	+	0.111019i	0.00618182	+	0.00449135i
$612$	−6.29433	+	0.0516345i	−0.254433	+	0.00208720i
$613$	−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	$0.689211\pi$
$614$	−8.25122	+	18.5326i	−0.332992	+	0.747913i
$615$	−3.42006	+	4.74814i	−0.137910	+	0.191463i
$616$	−7.56185	+	4.60275i	−0.304676	+	0.185450i
$617$	27.0174	+	15.5985i	1.08768	+	0.627972i	0.932958	−	0.359986i	$-0.117218\pi$
$617$	27.0174	+	15.5985i	1.08768	+	0.627972i	0.154722	+	0.987958i	$0.450552\pi$
$618$	3.95067	−	6.90804i	0.158919	−	0.277882i
$619$	21.5628	−	23.9480i	0.866684	−	0.962550i	−0.132907	−	0.991128i	$-0.542431\pi$
$619$	21.5628	−	23.9480i	0.866684	−	0.962550i	0.999592	+	0.0285782i	$0.00909797\pi$
$620$	−3.81077	−	1.23819i	−0.153044	−	0.0497270i
$621$	−12.2128	+	1.43576i	−0.490084	+	0.0576151i
$622$	7.45109	−	10.2556i	0.298762	−	0.411210i
$623$	−7.87293	+	1.67344i	−0.315422	+	0.0670451i
$624$	−3.32816	+	3.02150i	−0.133233	+	0.120957i
$625$	−1.31565	−	12.5176i	−0.0526260	−	0.500703i
$626$	2.24709	−	3.89207i	0.0898117	−	0.155558i
$627$	−35.0438	−	18.9773i	−1.39951	−	0.757882i
$628$	−0.986830	−	1.70924i	−0.0393788	−	0.0682061i
$629$	20.1453	−	14.6365i	0.803248	−	0.583594i
$630$	0.316484	+	2.79074i	0.0126090	+	0.111186i
$631$	−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	$0.111400\pi$
$632$	−23.1137	−	2.42935i	−0.919413	−	0.0966342i
$633$	−30.3664	−	27.1173i	−1.20696	−	1.07782i
$634$	−18.4923	+	16.6505i	−0.734422	+	0.661277i
$635$	5.82750	+	1.23867i	0.231257	+	0.0491553i
$636$	9.78765	−	5.70455i	0.388105	−	0.226200i
$637$	−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
$641$	−5.72635	−	5.15603i	−0.226177	−	0.203651i	0.548249	−	0.836315i	$-0.315295\pi$
$641$	−5.72635	−	5.15603i	−0.226177	−	0.203651i	−0.774426	+	0.632664i	$0.781961\pi$
$642$	9.89992	−	7.25494i	0.390719	−	0.286330i
$643$	19.3802	−	8.62864i	0.764282	−	0.340280i	0.0126994	−	0.999919i	$-0.495958\pi$
$643$	19.3802	−	8.62864i	0.764282	−	0.340280i	0.751582	+	0.659639i	$0.229291\pi$
$644$	1.26140	−	0.561610i	0.0497060	−	0.0221305i
$645$	−0.675719	−	6.18491i	−0.0266064	−	0.243530i
$646$	−18.5124	−	16.6687i	−0.728362	−	0.655820i
$647$	29.4465	+	40.5296i	1.15766	+	1.59338i	0.719511	+	0.694482i	$0.244366\pi$
$647$	29.4465	+	40.5296i	1.15766	+	1.59338i	0.438150	+	0.898902i	$0.355634\pi$
$648$	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
$651$	−8.27505	−	4.73246i	−0.324325	−	0.185480i
$652$	−14.4965	−	3.08133i	−0.567727	−	0.120674i
$653$	13.0919	−	11.7880i	0.512324	−	0.461299i	−0.371959	−	0.928249i	$-0.621314\pi$
$653$	13.0919	−	11.7880i	0.512324	−	0.461299i	0.884284	+	0.466950i	$0.154647\pi$
$654$	32.0942	−	10.5738i	1.25498	−	0.413467i
$655$	16.2005	+	1.70274i	0.633006	+	0.0665316i
$656$	−2.45053	+	7.54197i	−0.0956772	+	0.294464i
$657$	−4.15308	+	9.53778i	−0.162027	+	0.372104i
$658$	0.129387	−	0.0940050i	0.00504402	−	0.00366470i
$659$	−10.5664	−	18.3016i	−0.411609	−	0.712928i	0.583457	−	0.812144i	$-0.301700\pi$
$659$	−10.5664	−	18.3016i	−0.411609	−	0.712928i	−0.995066	+	0.0992163i	$0.968366\pi$
$660$	3.41602	−	1.21391i	0.132968	−	0.0472513i
$661$	5.51647	−	9.55480i	0.214566	−	0.371639i	−0.738572	−	0.674174i	$-0.764500\pi$
$661$	5.51647	−	9.55480i	0.214566	−	0.371639i	0.953138	+	0.302535i	$0.0978331\pi$
$662$	0.825043	+	7.84976i	0.0320662	+	0.305090i
$663$	1.34931	+	6.22242i	0.0524030	+	0.241659i
$664$	−43.4588	+	9.23744i	−1.68653	+	0.358482i
$665$	3.31411	−	4.56147i	0.128515	−	0.176886i
$666$	−18.6390	−	20.3623i	−0.722246	−	0.789023i
$667$	−8.14837	−	2.64757i	−0.315506	−	0.102514i
$668$	−0.290375	+	0.322494i	−0.0112350	+	0.0124777i
$669$	−36.1978	+	0.148469i	−1.39949	+	0.00574014i
$670$	6.21341	+	3.58731i	0.240045	+	0.138590i
$671$	44.8543	+	3.66560i	1.73158	+	0.141509i
$672$	−2.23298	−	4.96050i	−0.0861390	−	0.191355i
$673$	−12.6507	+	28.4139i	−0.487648	+	1.09527i	0.487380	+	0.873190i	$0.337953\pi$
$673$	−12.6507	+	28.4139i	−0.487648	+	1.09527i	−0.975027	+	0.222084i	$0.928714\pi$
$674$	−0.809780	+	0.263113i	−0.0311915	+	0.0101347i
$675$	−1.97606	+	21.3215i	−0.0760586	+	0.820666i
$676$	6.32175	+	4.59302i	0.243144	+	0.176655i
$677$	−2.23241	+	21.2400i	−0.0857986	+	0.816319i	0.864007	+	0.503479i	$0.167947\pi$
$677$	−2.23241	+	21.2400i	−0.0857986	+	0.816319i	−0.949806	+	0.312840i	$0.898720\pi$
$678$	−15.8789	+	1.73481i	−0.609825	+	0.0666251i
$679$	2.19566	−	10.3298i	0.0842618	−	0.396421i
$680$	8.95027	−	0.940711i	0.343227	−	0.0360746i
$681$	16.6929	+	12.0238i	0.639672	+	0.460752i
$682$	6.95914	−	23.2373i	0.266479	−	0.889804i
$683$			17.2570i			0.660321i	0.943925	+	0.330161i	$0.107103\pi$
$683$			17.2570i			0.660321i	−0.943925	+	0.330161i	$0.892897\pi$
$684$	8.14069	−	11.4002i	0.311267	−	0.435898i
$685$	−5.12846	−	15.7838i	−0.195949	−	0.603068i
$686$	2.75046	+	12.9399i	0.105013	+	0.494048i
$687$	11.3072	−	12.6619i	0.431395	−	0.483083i
$688$	−3.42945	−	7.70266i	−0.130746	−	0.293661i
$689$	−7.66769	−	8.51583i	−0.292116	−	0.324427i
$690$	4.32648	−	0.938184i	0.164706	−	0.0357161i
$691$	19.1427	+	8.52287i	0.728222	+	0.324225i	0.737145	−	0.675735i	$-0.236174\pi$
$691$	19.1427	+	8.52287i	0.728222	+	0.324225i	−0.00892294	+	0.999960i	$0.502840\pi$
$692$	9.08243			0.345262
$693$	8.54513	−	1.17024i	0.324603	−	0.0444537i
$694$	−13.7130			−0.520539
$695$	−5.29247	−	2.35636i	−0.200755	−	0.0893818i
$696$	−5.89123	+	18.3876i	−0.223306	+	0.696980i
$697$	7.51596	+	8.34732i	0.284687	+	0.316177i
$698$	−4.77289	−	10.7201i	−0.180657	−	0.405761i
$699$	26.4556	+	5.50999i	1.00064	+	0.208407i
$700$	−0.499896	−	2.35182i	−0.0188943	−	0.0888906i
$701$	−15.1348	−	46.5802i	−0.571634	−	1.75931i	−0.647364	−	0.762181i	$-0.724128\pi$
$701$	−15.1348	−	46.5802i	−0.571634	−	1.75931i	0.0757293	−	0.997128i	$-0.475872\pi$
$702$	6.68561	−	2.26360i	0.252332	−	0.0854343i
$703$			55.4168i			2.09008i
$704$	22.6155	−	17.2459i	0.852353	−	0.649978i
$705$	−0.237183	+	0.106769i	−0.00893283	+	0.00402113i
$706$	36.0753	−	3.79167i	1.35771	−	0.142701i
$707$	1.09184	−	5.13672i	0.0410630	−	0.193186i
$708$	−5.99254	−	8.17728i	−0.225213	−	0.307321i
$709$	−4.34336	+	41.3243i	−0.163118	+	1.55197i	0.540473	+	0.841362i	$0.318245\pi$
$709$	−4.34336	+	41.3243i	−0.163118	+	1.55197i	−0.703591	+	0.710605i	$0.748421\pi$
$710$	−9.72133	−	7.06296i	−0.364835	−	0.265068i
$711$	19.7020	+	11.1605i	0.738882	+	0.418550i
$712$	27.1917	−	8.83513i	1.01905	−	0.331111i
$713$	−6.11151	+	13.7267i	−0.228878	+	0.514068i
$714$	5.36399	+	0.541544i	0.200742	+	0.0202668i
$715$	−1.90663	−	3.13240i	−0.0713039	−	0.117145i
$716$	0.651774	+	0.376302i	0.0243579	+	0.0140631i
$717$	26.1426	+	44.8544i	0.976312	+	1.67512i
$718$	−21.3912	+	23.7573i	−0.798311	+	0.886614i
$719$	27.4285	+	8.91207i	1.02291	+	0.332364i	0.771984	−	0.635642i	$-0.219264\pi$
$719$	27.4285	+	8.91207i	1.02291	+	0.332364i	0.250927	+	0.968006i	$0.419264\pi$
$720$	−1.33667	−	6.04429i	−0.0498147	−	0.225257i
$721$	2.03223	−	2.79713i	0.0756843	−	0.104170i
$722$	32.8193	−	6.97595i	1.22141	−	0.259618i
$723$	−3.13032	−	1.00293i	−0.116418	−	0.0372992i
$724$	1.63406	+	15.5471i	0.0607294	+	0.577802i
$725$	−7.45956	+	12.9203i	−0.277041	+	0.479849i
$726$	7.82613	+	20.5042i	0.290455	+	0.760981i
$727$	−9.19217	−	15.9213i	−0.340919	−	0.590489i	0.643685	−	0.765291i	$-0.277405\pi$
$727$	−9.19217	−	15.9213i	−0.340919	−	0.590489i	−0.984604	+	0.174802i	$0.944071\pi$
$728$	−2.54643	+	1.85009i	−0.0943770	+	0.0685689i
$729$	7.70906	−	25.8761i	0.285521	−	0.958373i
$730$	1.15730	−	3.56181i	0.0428336	−	0.131828i
$731$	−11.8774	−	1.24836i	−0.439301	−	0.0461724i
$732$	−3.22550	+	15.4869i	−0.119218	+	0.572412i
$733$	23.4498	−	21.1143i	0.866137	−	0.779873i	−0.110701	−	0.993854i	$-0.535310\pi$
$733$	23.4498	−	21.1143i	0.866137	−	0.779873i	0.976838	+	0.213981i	$0.0686429\pi$
$734$	19.0262	+	4.04415i	0.702271	+	0.149272i
$735$	−0.0416205	−	10.1474i	−0.00153520	−	0.374293i
$736$	−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	$-0.520306\pi$
$740$	−3.74632	−	3.37320i	−0.137717	−	0.124001i
$741$	−12.9682	−	5.71020i	−0.476399	−	0.209770i
$742$	−8.86414	+	3.94657i	−0.325413	+	0.144883i
$743$	19.8392	−	8.83298i	0.727830	−	0.324051i	−0.00915685	−	0.999958i	$-0.502915\pi$
$743$	19.8392	−	8.83298i	0.727830	−	0.324051i	0.736987	+	0.675907i	$0.236248\pi$
$744$	30.9909	+	13.6460i	1.13618	+	0.500286i
$745$	5.14334	+	4.63109i	0.188437	+	0.169670i
$746$	−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
$750$	−0.0699817	−	17.0621i	−0.00255537	−	0.623019i
$751$	−16.6365	−	3.53621i	−0.607076	−	0.129038i	−0.105890	−	0.994378i	$-0.533769\pi$
$751$	−16.6365	−	3.53621i	−0.607076	−	0.129038i	−0.501186	+	0.865340i	$0.667103\pi$
$752$	−0.261954	+	0.235865i	−0.00955249	+	0.00860110i
$753$	0.958511	−	4.60218i	0.0349301	−	0.167713i
$754$	4.89090	+	0.514055i	0.178116	+	0.0187208i
$755$	3.90677	−	12.0238i	0.142182	−	0.437591i
$756$	0.0373035	+	3.03149i	0.00135671	+	0.110254i
$757$	−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
$759$	−3.18818	−	13.2157i	−0.115724	−	0.479698i
$760$	−10.0142	+	17.3451i	−0.363253	+	0.629173i
$761$	2.12166	+	20.1862i	0.0769101	+	0.731750i	0.963230	+	0.268677i	$0.0865866\pi$
$761$	2.12166	+	20.1862i	0.0769101	+	0.731750i	−0.886320	+	0.463073i	$0.846747\pi$
$762$	−12.0733	−	3.86818i	−0.437369	−	0.140129i
$763$	14.3602	−	3.05236i	0.519876	−	0.110503i
$764$	1.18346	−	1.62889i	0.0428159	−	0.0589310i
$765$	−8.36097	−	2.64102i	−0.302291	−	0.0954861i
$766$	−11.0916	−	3.60388i	−0.400755	−	0.130213i
$767$	−6.86175	+	7.62074i	−0.247763	+	0.275169i
$768$	12.3143	+	21.1285i	0.444356	+	0.762408i
$769$	20.3619	+	11.7559i	0.734268	+	0.423930i	0.819981	−	0.572390i	$-0.193984\pi$
$769$	20.3619	+	11.7559i	0.734268	+	0.423930i	−0.0857137	+	0.996320i	$0.527317\pi$
$770$	−3.02142	+	0.715795i	−0.108884	+	0.0257954i
$771$	14.6858	+	1.48266i	0.528895	+	0.0533968i
$772$	2.70758	−	6.08133i	0.0974481	−	0.218872i
$773$	−12.8627	+	4.17933i	−0.462638	+	0.150320i	−0.531056	−	0.847337i	$-0.678205\pi$
$773$	−12.8627	+	4.17933i	−0.462638	+	0.150320i	0.0684183	+	0.997657i	$0.478205\pi$
$774$	0.108606	+	13.2392i	0.00390374	+	0.475873i
$775$	21.1676	+	15.3792i	0.760362	+	0.552436i
$776$	−3.92121	+	37.3078i	−0.140763	+	1.33927i
$777$	−7.08926	−	9.67385i	−0.254326	−	0.347047i
$778$	−2.23494	+	10.5146i	−0.0801264	+	0.376965i
$779$	−24.8606	+	2.61296i	−0.890725	+	0.0936189i
$780$	1.17539	−	0.529106i	0.0420859	−	0.0189450i
$781$	−20.9916	+	30.3475i	−0.751140	+	1.08592i
$782$		−	8.49784i		−	0.303882i
$783$	12.4146	−	14.1337i	0.443662	−	0.505099i
$784$	−4.24954	−	13.0787i	−0.151769	−	0.467098i
$785$	−0.571605	−	2.68919i	−0.0204014	−	0.0959812i
$786$	−33.9359	−	7.06795i	−1.21045	−	0.252105i
$787$	−18.8489	−	42.3354i	−0.671892	−	1.50909i	−0.850945	−	0.525254i	$-0.823970\pi$
$787$	−18.8489	−	42.3354i	−0.671892	−	1.50909i	0.179053	−	0.983839i	$-0.442697\pi$
$788$	−2.22745	−	2.47383i	−0.0793496	−	0.0881267i
$789$	−12.6054	+	39.3439i	−0.448765	+	1.40068i
$790$	−7.44710	−	3.31566i	−0.264956	−	0.117966i
$791$	−6.93985			−0.246753
$792$	−29.7533	+	7.30703i	−1.05724	+	0.259644i
$793$	16.0014			0.568226
$794$	10.8735	+	4.84119i	0.385886	+	0.171807i
$795$	15.4222	−	3.34427i	0.546970	−	0.118609i
$796$	3.44483	+	3.82587i	0.122099	+	0.135605i
$797$	−19.8250	−	44.5277i	−0.702238	−	1.57725i	−0.812242	−	0.583320i	$-0.801753\pi$
$797$	−19.8250	−	44.5277i	−0.702238	−	1.57725i	0.110005	−	0.993931i	$-0.464913\pi$
$798$	−7.99169	+	8.94922i	−0.282903	+	0.316799i
$799$	0.103807	+	0.488373i	0.00367243	+	0.0172774i
$800$	4.61394	+	14.2003i	0.163127	+	0.502055i
$801$	−27.7263	−	2.68439i	−0.979660	−	0.0948482i
$802$		−	17.0865i		−	0.603345i
$803$	−11.0172	−	3.29945i	−0.388790	−	0.116435i
$804$	6.28407	+	4.52638i	0.221622	+	0.159633i
$805$	1.91285	−	0.201048i	0.0674190	−	0.00708603i
$806$	1.79318	−	8.43626i	0.0631622	−	0.297155i
$807$	−41.4247	+	4.52577i	−1.45822	+	0.159315i
$808$	−1.94991	+	18.5522i	−0.0685976	+	0.652663i
$809$	−4.11235	−	2.98780i	−0.144583	−	0.105045i	0.513143	−	0.858303i	$-0.328481\pi$
$809$	−4.11235	−	2.98780i	−0.144583	−	0.105045i	−0.657725	+	0.753258i	$0.728481\pi$
$810$	−1.86471	+	9.53975i	−0.0655191	+	0.335193i
$811$	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	$0.364935\pi$
$812$	−0.859150	+	1.92968i	−0.0301503	+	0.0677186i
$813$	9.18513	+	20.4045i	0.322137	+	0.715617i
$814$	19.8897	−	23.1468i	0.697134	−	0.811296i
$815$	−17.8786	−	10.3222i	−0.626261	−	0.361572i
$816$	−11.8825	+	0.0487370i	−0.415969	+	0.00170614i
$817$	17.7845	−	19.7517i	0.622201	−	0.691024i
$818$	−9.57054	−	3.10966i	−0.334626	−	0.108727i
$819$	2.99428	−	0.662173i	0.104629	−	0.0231382i
$820$	1.33661	−	1.83969i	0.0466766	−	0.0642448i
$821$	33.6266	−	7.14756i	1.17358	−	0.249451i	0.420443	−	0.907319i	$-0.361875\pi$
$821$	33.6266	−	7.14756i	1.17358	−	0.249451i	0.753134	+	0.657868i	$0.228541\pi$
$822$	7.48423	+	34.5139i	0.261043	+	1.20381i
$823$	−1.10426	−	10.5063i	−0.0384921	−	0.366228i	−0.996765	−	0.0803725i	$-0.974389\pi$
$823$	−1.10426	−	10.5063i	−0.0384921	−	0.366228i	0.958273	−	0.285855i	$-0.0922776\pi$
$824$	−6.14077	+	10.6361i	−0.213924	+	0.370527i
$825$	−23.6641	+	0.645720i	−0.823877	+	0.0224811i
$826$	4.34157	+	7.51982i	0.151063	+	0.261648i
$827$	−22.4299	+	16.2963i	−0.779965	+	0.566678i	−0.904969	−	0.425479i	$-0.860106\pi$
$827$	−22.4299	+	16.2963i	−0.779965	+	0.566678i	0.125004	+	0.992156i	$0.460106\pi$
$828$	4.74824	−	0.538475i	0.165013	−	0.0187133i
$829$	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	$-0.0384379\pi$
$830$	−15.4985	−	1.62896i	−0.537960	−	0.0565419i
$831$	10.9792	−	3.61722i	0.380866	−	0.125480i
$832$	7.51490	−	6.76645i	0.260532	−	0.234584i
$833$	−19.0528	−	4.04980i	−0.660141	−	0.140317i
$834$	10.7016	+	6.12019i	0.370566	+	0.211925i
$835$	−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
$839$	−16.1480	−	14.5397i	−0.557492	−	0.501968i	0.341531	−	0.939871i	$-0.389055\pi$
$839$	−16.1480	−	14.5397i	−0.557492	−	0.501968i	−0.899022	+	0.437903i	$0.855721\pi$
$840$	−0.470763	−	4.30893i	−0.0162429	−	0.148672i
$841$	−14.5191	+	6.46433i	−0.500659	+	0.222908i
$842$	−1.67888	+	0.747486i	−0.0578580	+	0.0257601i
$843$	0.857443	−	0.628358i	0.0295319	−	0.0216418i
$844$	11.7573	+	10.5863i	0.404701	+	0.364395i
$845$	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
$849$	−28.2915	+	16.4892i	−0.970961	+	0.565907i
$850$	−14.4741	−	3.07657i	−0.496458	−	0.105525i
$851$	−14.0486	+	12.6494i	−0.481580	+	0.433617i
$852$	−9.67462	−	8.63947i	−0.331447	−	0.295984i
$853$	40.8198	+	4.29033i	1.39764	+	0.146898i	0.773195	−	0.634168i	$-0.218657\pi$
$853$	40.8198	+	4.29033i	1.39764	+	0.146898i	0.624448	+	0.781066i	$0.285324\pi$
$854$	4.18690	−	12.8860i	0.143273	−	0.440948i
$855$	15.6921	−	11.5988i	0.536657	−	0.396671i
$856$	−15.3244	+	11.1338i	−0.523778	+	0.380547i
$857$	−3.74660	−	6.48930i	−0.127981	−	0.221670i	0.794913	−	0.606723i	$-0.207516\pi$
$857$	−3.74660	−	6.48930i	−0.127981	−	0.221670i	−0.922894	+	0.385053i	$0.874183\pi$
$858$	3.36719	+	7.03951i	0.114954	+	0.240325i
$859$	−0.815011	+	1.41164i	−0.0278078	+	0.0481646i	−0.879594	−	0.475724i	$-0.842186\pi$
$859$	−0.815011	+	1.41164i	−0.0278078	+	0.0481646i	0.851787	+	0.523889i	$0.175519\pi$
$860$	0.252729	+	2.40455i	0.00861798	+	0.0819946i
$861$	4.00554	−	3.63646i	0.136508	−	0.123930i
$862$	33.2390	−	7.06517i	1.13212	−	0.240641i
$863$	−11.2828	+	15.5294i	−0.384070	+	0.528626i	−0.956657	−	0.291217i	$-0.905940\pi$
$863$	−11.2828	+	15.5294i	−0.384070	+	0.528626i	0.572587	+	0.819844i	$0.305940\pi$
$864$	−2.19818	−	18.6981i	−0.0747835	−	0.636122i
$865$	12.0324	+	3.90957i	0.409114	+	0.132929i
$866$	8.83459	−	9.81180i	0.300211	−	0.333419i
$867$	6.26216	−	10.9499i	0.212674	−	0.371877i
$868$	3.20817	+	1.85224i	0.108892	+	0.0628690i
$869$	−9.64917	+	23.0988i	−0.327326	+	0.783574i
$870$	−3.95824	+	5.49531i	−0.134197	+	0.186309i
$871$	3.18625	−	7.15644i	0.107962	−	0.242487i
$872$	−49.5978	+	16.1153i	−1.67959	+	0.545733i
$873$	18.0141	−	31.8010i	0.609685	−	1.07630i
$874$	15.3000	+	11.1161i	0.517529	+	0.376007i
$875$	0.774861	−	7.37231i	0.0261951	−	0.249230i
$876$	1.62910	−	3.69980i	0.0550424	−	0.125004i
$877$	11.6826	−	54.9624i	0.394494	−	1.85595i	−0.112006	−	0.993708i	$-0.535728\pi$
$877$	11.6826	−	54.9624i	0.394494	−	1.85595i	0.506500	−	0.862240i	$-0.330939\pi$
$878$	−3.48016	+	0.365779i	−0.117450	+	0.0123444i
$879$	0.365846	−	3.62371i	0.0123397	−	0.122225i
$880$	6.45795	−	2.26509i	0.217697	−	0.0763561i
$881$		−	16.2929i		−	0.548922i	−0.961598	−	0.274461i	$-0.911501\pi$
$881$		−	16.2929i		−	0.548922i	0.961598	−	0.274461i	$-0.0884994\pi$
$882$	−2.08091	+	21.4931i	−0.0700678	+	0.723711i
$883$	−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	$-0.267031\pi$
$884$	−0.514430	−	2.42020i	−0.0173021	−	0.0814002i
$885$	−4.41898	−	13.4128i	−0.148542	−	0.450866i
$886$	7.75504	+	17.4181i	0.260536	+	0.585173i
$887$	−0.755720	−	0.839312i	−0.0253746	−	0.0281813i	0.730324	−	0.683101i	$-0.239369\pi$
$887$	−0.755720	−	0.839312i	−0.0253746	−	0.0281813i	−0.755699	+	0.654920i	$0.772702\pi$
$888$	28.6366	+	31.5430i	0.960980	+	1.05851i
$889$	−5.03186	−	2.24033i	−0.168763	−	0.0751382i
$890$	10.0284			0.336154
$891$	29.4201	+	5.04575i	0.985609	+	0.169039i
$892$	14.0668			0.470992
$893$	−1.01508	−	0.451944i	−0.0339685	−	0.0151237i
$894$	−9.89965	−	10.9044i	−0.331094	−	0.364698i
$895$	0.701490	+	0.779084i	0.0234482	+	0.0260419i
$896$	−0.927792	−	2.08386i	−0.0309954	−	0.0696167i
$897$	−1.51254	−	4.59096i	−0.0505022	−	0.153288i
$898$	0.0622451	+	0.292840i	0.00207715	+	0.00977221i
$899$	−7.10316	−	21.8613i	−0.236904	−	0.729114i
$900$	0.801887	−	8.28247i	0.0267296	−	0.276082i
$901$		−	30.2916i		−	1.00916i
$902$	11.3218	+	7.83136i	0.376973	+	0.260756i
$903$	−0.577795	+	5.72306i	−0.0192278	+	0.190451i
$904$	24.5168	−	2.57682i	0.815415	−	0.0857036i
$905$	−4.52749	+	21.3002i	−0.150499	+	0.708041i
$906$	−10.8416	+	24.6219i	−0.360188	+	0.818008i
$907$	−2.78736	+	26.5200i	−0.0925528	+	0.880581i	0.845473	+	0.534017i	$0.179318\pi$
$907$	−2.78736	+	26.5200i	−0.0925528	+	0.880581i	−0.938026	+	0.346564i	$0.887348\pi$
$908$	−6.46774	−	4.69909i	−0.214639	−	0.155945i
$909$	8.95793	−	15.8138i	0.297116	−	0.524509i
$910$	−1.04998	+	0.341161i	−0.0348066	+	0.0113094i
$911$	1.59377	−	3.57967i	0.0528040	−	0.118600i	−0.885217	−	0.465179i	$-0.845990\pi$
$911$	1.59377	−	3.57967i	0.0528040	−	0.118600i	0.938021	+	0.346579i	$0.112657\pi$
$912$	15.4558	−	21.4576i	0.511792	−	0.710531i
$913$	−3.89790	+	47.6968i	−0.129002	+	1.57853i
$914$	5.42679	+	3.13316i	0.179502	+	0.103636i
$915$	−10.9395	+	19.1286i	−0.361650	+	0.632372i
$916$	−4.41418	+	4.90245i	−0.145849	+	0.161981i
$917$	−14.3232	−	4.65390i	−0.472994	−	0.153685i
$918$	17.1374	+	7.37877i	0.565619	+	0.243536i
$919$	−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	$0.264440\pi$
$920$	−6.68296	+	1.42051i	−0.220331	+	0.0468327i
$921$	−22.5843	+	20.5034i	−0.744179	+	0.675609i
$922$	−3.53556	−	33.6386i	−0.116438	−	1.10783i
$923$	−6.56003	+	11.3623i	−0.215926	+	0.373995i
$924$	−3.32253	+	0.441139i	−0.109303	+	0.0145124i
$925$	16.4592	+	28.5082i	0.541175	+	0.937343i
$926$	−18.9950	+	13.8007i	−0.624216	+	0.453519i
$927$	9.62248	−	7.11247i	0.316044	−	0.233604i
$928$	4.05348	−	12.4753i	0.133062	−	0.409522i
$929$	−4.69450	−	0.493411i	−0.154021	−	0.0161883i	0.0272039	−	0.999630i	$-0.491340\pi$
$929$	−4.69450	−	0.493411i	−0.154021	−	0.0161883i	−0.181225	+	0.983442i	$0.558006\pi$
$930$	8.85907	+	7.91119i	0.290500	+	0.259418i
$931$	32.2146	−	29.0062i	1.05579	−	0.950638i
$932$	−10.2719	−	2.18337i	−0.336468	−	0.0715186i
$933$	16.4679	−	9.59801i	0.539135	−	0.314225i
$934$	−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	$0.956711\pi$
$938$	−4.92939	−	4.43845i	−0.160950	−	0.144920i
$939$	5.45064	−	3.99438i	0.177875	−	0.130352i
$940$	0.0923403	−	0.0411126i	0.00301181	−	0.00134094i
$941$	−52.0454	+	23.1721i	−1.69663	+	0.755389i	−0.697380	+	0.716702i	$0.745651\pi$
$941$	−52.0454	+	23.1721i	−1.69663	+	0.755389i	−0.999251	+	0.0386867i	$0.987683\pi$
$942$	0.635390	+	5.81577i	0.0207021	+	0.189488i
$943$	−6.33709	−	5.70594i	−0.206364	−	0.185811i
$944$	−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	−0.486733	−	0.873551i	$-0.661812\pi$
$947$	0.812966	−	0.469366i	0.0264179	−	0.0152524i	0.513151	+	0.858298i	$0.328478\pi$
$948$	−7.63847	−	4.36840i	−0.248086	−	0.141879i
$949$	−3.99978	−	0.850179i	−0.129838	−	0.0275980i
$950$	24.4729	−	22.0355i	0.794005	−	0.714926i
$951$	−35.5369	+	11.7080i	−1.15236	+	0.379658i
$952$	−8.27479	−	0.869715i	−0.268187	−	0.0281876i
$953$	3.50554	−	10.7889i	0.113556	−	0.349488i	−0.878087	−	0.478500i	$-0.841181\pi$
$953$	3.50554	−	10.7889i	0.113556	−	0.349488i	0.991643	+	0.129012i	$0.0411806\pi$
$954$	−33.3670	+	3.78400i	−1.08030	+	0.122511i
$955$	2.26900	−	1.64853i	0.0734232	−	0.0533451i
$956$	−10.0876	−	17.4722i	−0.326256	−	0.565092i
$957$	17.1525	+	11.7608i	0.554462	+	0.380174i
$958$	6.18978	−	10.7210i	0.199983	−	0.346380i
$959$	1.60384	+	15.2595i	0.0517906	+	0.492754i
$960$	2.95119	+	13.6095i	0.0952492	+	0.439246i
$961$	−9.10903	+	1.93619i	−0.293840	+	0.0624576i
$962$	6.37807	−	8.77866i	0.205637	−	0.283035i
$963$	18.0196	−	3.98495i	0.580674	−	0.128413i
$964$	1.21485	+	0.394730i	0.0391278	+	0.0127134i
$965$	6.20474	−	6.89107i	0.199738	−	0.221831i
$966$	−4.09288	+	0.0167873i	−0.131686	+	0.000540124i
$967$	14.9869	+	8.65272i	0.481948	+	0.278253i	0.721228	−	0.692698i	$-0.243578\pi$
$967$	14.9869	+	8.65272i	0.481948	+	0.278253i	−0.239280	+	0.970951i	$0.576911\pi$
$968$	−11.9482	−	31.6935i	−0.384030	−	1.01867i
$969$	−15.3752	−	34.1556i	−0.493924	−	1.09724i
$970$	−5.35181	+	12.0204i	−0.171836	+	0.385951i
$971$	23.6890	−	7.69701i	0.760215	−	0.247009i	0.0968441	−	0.995300i	$-0.469125\pi$
$971$	23.6890	−	7.69701i	0.760215	−	0.247009i	0.663371	+	0.748291i	$0.269125\pi$
$972$	−3.03701	+	10.0432i	−0.0974122	+	0.322137i
$973$	4.33318	+	3.14824i	0.138915	+	0.100928i
$974$	−3.67534	+	34.9685i	−0.117766	+	1.12046i
$975$	−8.36723	+	0.914145i	−0.267966	+	0.0292761i
$976$	−6.20882	+	29.2102i	−0.198740	+	0.934996i
$977$	7.44824	−	0.782841i	0.238290	−	0.0250453i	0.0153695	−	0.999882i	$-0.495108\pi$
$977$	7.44824	−	0.782841i	0.238290	−	0.0250453i	0.222921	+	0.974837i	$0.428441\pi$
$978$	35.6465	+	25.6760i	1.13985	+	0.821027i
$979$	−0.713742	−	30.7876i	−0.0228113	−	0.983976i
$980$			3.94338i			0.125967i
$981$	50.5728	+	4.89633i	1.61466	+	0.156328i
$982$	8.92466	+	27.4673i	0.284797	+	0.876516i
$983$	−1.10823	−	5.21382i	−0.0353471	−	0.166295i	0.956934	−	0.290307i	$-0.0937573\pi$
$983$	−1.10823	−	5.21382i	−0.0353471	−	0.166295i	−0.992281	+	0.124012i	$0.960424\pi$
$984$	−12.8003	+	14.3340i	−0.408059	+	0.456951i
$985$	−1.88606	−	4.23615i	−0.0600948	−	0.134975i
$986$	8.69869	+	9.66087i	0.277023	+	0.307665i
$987$	0.235014	−	0.0509621i	0.00748057	−	0.00162214i
$988$	5.03039	+	2.23967i	0.160038	+	0.0712535i
$989$	9.06669			0.288304
$990$	−10.7173	−	0.787397i	−0.340618	−	0.0250251i
$991$	−23.5423			−0.747846			−0.373923	−	0.927460i	$-0.621988\pi$
$991$	−23.5423			−0.747846			−0.373923	+	0.927460i	$0.621988\pi$
$992$	−21.0158	−	9.35684i	−0.667253	−	0.297080i
$993$	−3.62112	+	11.3022i	−0.114913	+	0.358664i
$994$	7.43361	+	8.25586i	0.235780	+	0.261860i
$995$	2.91686	+	6.55136i	0.0924705	+	0.207692i
$996$	−16.4683	−	3.42991i	−0.521819	−	0.108681i
$997$	2.95338	+	13.8946i	0.0935344	+	0.440045i	0.999848	+	0.0174389i	$0.00555125\pi$
$997$	2.95338	+	13.8946i	0.0935344	+	0.440045i	−0.906314	+	0.422606i	$0.861115\pi$
$998$	1.76924	+	5.44517i	0.0560044	+	0.172364i
$999$	−13.3113	−	39.3152i	−0.421150	−	1.24388i

Twists

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

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

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+(1.05233 + 0.468527i) q^{2} +(1.16424 + 1.28240i) q^{3} +(-0.450383 - 0.500201i) q^{4} +(-0.381354 - 0.856535i) q^{5} +(0.624322 + 1.89498i) q^{6} +(0.180225 + 0.847891i) q^{7} +(-0.951517 - 2.92847i) q^{8} +(-0.289100 + 2.98604i) q^{9} -1.08003i q^{10} +(-3.31573 + 0.0768679i) q^{11} +(0.117105 - 1.15992i) q^{12} +(-1.17279 + 0.123265i) q^{13} +(-0.207604 + 0.976701i) q^{14} +(0.654434 - 1.48626i) q^{15} +(0.230044 - 2.18873i) q^{16} +(-2.52191 - 1.83228i) q^{17} +(-1.70327 + 3.00684i) q^{18} +(6.59786 - 2.14377i) q^{19} +(-0.256684 + 0.576522i) q^{20} +(-0.877511 + 1.21827i) q^{21} +(-3.52526 - 1.47262i) q^{22} +(2.04949 + 1.18327i) q^{23} +(2.64768 - 4.62966i) q^{24} +(2.75743 - 3.06244i) q^{25} +(-1.29191 - 0.419767i) q^{26} +(-4.16588 + 3.10572i) q^{27} +(0.342946 - 0.472024i) q^{28} +(-3.54123 + 0.752711i) q^{29} +(1.38503 - 1.25741i) q^{30} +(0.663674 + 6.31443i) q^{31} +(-1.81162 + 3.13781i) q^{32} +(-3.95888 - 4.16261i) q^{33} +(-1.79541 - 3.10974i) q^{34} +(0.657520 - 0.477716i) q^{35} +(1.62382 - 1.20025i) q^{36} +(-2.46847 + 7.59716i) q^{37} +(7.94753 + 0.835319i) q^{38} +(-1.52348 - 1.36047i) q^{39} +(-2.14547 + 1.93179i) q^{40} +(-3.52457 - 0.749170i) q^{41} +(-1.49422 + 0.870880i) 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} +(-0.119028 - 0.107173i) q^{47} +(3.07465 - 2.25319i) q^{48} +(5.70838 - 2.54153i) q^{49} +(4.33656 - 1.93076i) q^{50} +(-0.586394 - 5.36731i) q^{51} +(0.589859 + 0.531112i) 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} +(10.4307 + 5.96523i) q^{57} +(-4.07920 - 0.867060i) q^{58} +(6.46239 - 5.81876i) q^{59} +(-1.03817 + 0.342037i) q^{60} +(-13.4948 - 1.41836i) q^{61} +(-2.26008 + 6.95581i) q^{62} +(-2.58394 + 0.293032i) q^{63} +(-6.93750 + 5.04039i) q^{64} +(0.552827 + 0.957525i) q^{65} +(-2.21575 - 6.23527i) q^{66} +(-3.32149 + 5.75299i) q^{67} +(0.219320 + 2.08669i) q^{68} +(0.868663 + 4.00588i) q^{69} +(0.915750 - 0.194649i) q^{70} +(6.53958 - 9.00097i) q^{71} +(9.01960 - 1.99464i) q^{72} +(3.29787 + 1.07154i) q^{73} +(-6.15711 + 6.83817i) q^{74} +(7.13758 - 0.0292754i) q^{75} +(-4.04388 - 2.33473i) q^{76} +(-0.662753 - 2.79753i) q^{77} +(-0.965780 - 2.14545i) q^{78} +(3.06997 - 6.89526i) q^{79} +(-1.96245 + 0.637639i) q^{80} +(-8.83284 - 1.72653i) q^{81} +(-3.35800 - 2.43973i) q^{82} +(1.50825 - 14.3500i) q^{83} +(1.00459 - 0.109755i) q^{84} +(-0.607668 + 2.85885i) q^{85} +(4.38904 - 0.461307i) q^{86} +(-5.08810 - 3.66493i) q^{87} +(3.38008 + 9.63688i) q^{88} +9.28531i q^{89} +(3.22502 + 0.312238i) q^{90} +(-0.315880 - 0.972179i) q^{91} +(-0.331181 - 1.55808i) q^{92} +(-7.32496 + 8.20260i) q^{93} +(-0.0750429 - 0.168549i) q^{94} +(-4.35234 - 4.83376i) q^{95} +(-6.13308 + 1.32994i) q^{96} +(-11.1296 - 4.95523i) q^{97} +7.19787 q^{98} +(0.729050 - 9.92313i) 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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