LMFDB - Embedded newform 230.2.j.a.29.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(9,230)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 10]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("230.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.j (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			29.12
Character	$\chi$	$=$	230.29
Dual form			230.2.j.a.119.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.909632 + 0.415415i) q^{2} +(0.768680 - 2.61788i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.08039 - 1.95774i) q^{5} +(1.78672 - 2.06199i) q^{6} +(-1.27046 - 0.182665i) q^{7} +(0.281733 + 0.959493i) q^{8} +(-3.73869 - 2.40271i) q^{9} +O(q^{10})$	\(q+(0.909632 + 0.415415i) q^{2} +(0.768680 - 2.61788i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.08039 - 1.95774i) q^{5} +(1.78672 - 2.06199i) q^{6} +(-1.27046 - 0.182665i) q^{7} +(0.281733 + 0.959493i) q^{8} +(-3.73869 - 2.40271i) q^{9} +(-0.169478 - 2.22964i) q^{10} +(1.03946 + 2.27610i) q^{11} +(2.48184 - 1.13342i) q^{12} +(1.02038 - 0.146709i) q^{13} +(-1.07977 - 0.693928i) q^{14} +(-5.95562 + 1.32345i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(3.98282 + 3.45113i) q^{17} +(-2.40271 - 3.73869i) q^{18} +(0.540257 + 0.623490i) q^{19} +(0.772062 - 2.09855i) q^{20} +(-1.45478 + 3.18552i) q^{21} +2.50222i q^{22} +(2.14681 - 4.28850i) q^{23} +2.72840 q^{24} +(-2.66553 + 4.23024i) q^{25} +(0.989116 + 0.290431i) q^{26} +(-2.97791 + 2.58037i) q^{27} +(-0.693928 - 1.07977i) q^{28} +(1.11568 - 1.28757i) q^{29} +(-5.96720 - 1.27020i) q^{30} +(7.72564 - 2.26845i) q^{31} +(-0.540641 + 0.841254i) q^{32} +(6.75757 - 0.971592i) q^{33} +(2.18925 + 4.79378i) q^{34} +(1.01498 + 2.68459i) q^{35} +(-0.632474 - 4.39895i) q^{36} +(-5.04755 + 7.85414i) q^{37} +(0.232428 + 0.791577i) q^{38} +(0.400281 - 2.78401i) q^{39} +(1.57406 - 1.58818i) q^{40} +(-3.34958 + 2.15265i) q^{41} +(-2.64662 + 2.29331i) q^{42} +(-2.74268 + 9.34069i) q^{43} +(-1.03946 + 2.27610i) q^{44} +(-0.664663 + 9.91526i) q^{45} +(3.73431 - 3.00914i) q^{46} -10.1453i q^{47} +(2.48184 + 1.13342i) q^{48} +(-5.13574 - 1.50799i) q^{49} +(-4.18196 + 2.74066i) q^{50} +(12.0962 - 7.77374i) q^{51} +(0.779083 + 0.675079i) q^{52} +(-3.94642 - 0.567409i) q^{53} +(-3.78072 + 1.11012i) q^{54} +(3.33300 - 4.49406i) q^{55} +(-0.182665 - 1.27046i) q^{56} +(2.04751 - 0.935066i) q^{57} +(1.54974 - 0.707741i) q^{58} +(1.11256 + 7.73803i) q^{59} +(-4.90030 - 3.63428i) q^{60} +(-3.40094 + 0.998606i) q^{61} +(7.96983 + 1.14589i) q^{62} +(4.31098 + 3.73549i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-1.38962 - 1.83914i) q^{65} +(6.55051 + 1.92340i) q^{66} +(-13.0761 - 5.97166i) q^{67} +5.27002i q^{68} +(-9.57658 - 8.91658i) q^{69} +(-0.191962 + 2.86363i) q^{70} +(2.65819 - 5.82062i) q^{71} +(1.25207 - 4.26417i) q^{72} +(-12.6363 + 10.9494i) q^{73} +(-7.85414 + 5.04755i) q^{74} +(9.02535 + 10.2298i) q^{75} +(-0.117409 + 0.816598i) q^{76} +(-0.904831 - 3.08157i) q^{77} +(1.52063 - 2.36614i) q^{78} +(1.01786 + 7.07936i) q^{79} +(2.09157 - 0.790774i) q^{80} +(-1.07250 - 2.34844i) q^{81} +(-3.94113 + 0.566649i) q^{82} +(-2.41287 + 3.75450i) q^{83} +(-3.36013 + 0.986624i) q^{84} +(2.45345 - 11.5259i) q^{85} +(-6.37509 + 7.35725i) q^{86} +(-2.51310 - 3.91046i) q^{87} +(-1.89105 + 1.63860i) q^{88} +(6.62662 + 1.94575i) q^{89} +(-4.72355 + 8.74313i) q^{90} -1.32316 q^{91} +(4.64689 - 1.18592i) q^{92} -21.9685i q^{93} +(4.21451 - 9.22849i) q^{94} +(0.636947 - 1.73130i) q^{95} +(1.78672 + 2.06199i) q^{96} +(-8.57591 - 13.3444i) q^{97} +(-4.04519 - 3.50518i) q^{98} +(1.58259 - 11.0071i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{9}{11}\right)$

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 $

$2$	0.909632	+	0.415415i	0.643207	+	0.293743i
$2$	0.909632	+	0.415415i	0.643207	+	0.293743i
$3$	0.768680	−	2.61788i	0.443798	−	1.51144i	−0.369300	−	0.929310i	$-0.620403\pi$
$3$	0.768680	−	2.61788i	0.443798	−	1.51144i	0.813098	−	0.582126i	$-0.197779\pi$
$4$	0.654861	+	0.755750i	0.327430	+	0.377875i
$5$	−1.08039	−	1.95774i	−0.483164	−	0.875530i
$5$	−1.08039	−	1.95774i	−0.483164	−	0.875530i
$6$	1.78672	−	2.06199i	0.729427	−	0.841804i
$7$	−1.27046	−	0.182665i	−0.480190	−	0.0690410i	−0.102031	−	0.994781i	$-0.532534\pi$
$7$	−1.27046	−	0.182665i	−0.480190	−	0.0690410i	−0.378160	+	0.925740i	$0.623443\pi$
$8$	0.281733	+	0.959493i	0.0996075	+	0.339232i
$9$	−3.73869	−	2.40271i	−1.24623	−	0.800904i
$10$	−0.169478	−	2.22964i	−0.0535936	−	0.705073i
$11$	1.03946	+	2.27610i	0.313408	+	0.686269i	0.999135	−	0.0415907i	$-0.0132426\pi$
$11$	1.03946	+	2.27610i	0.313408	+	0.686269i	−0.685726	+	0.727860i	$0.740515\pi$
$12$	2.48184	−	1.13342i	0.716447	−	0.327190i
$13$	1.02038	−	0.146709i	0.283003	−	0.0406897i	0.000648289	−	1.00000i	$-0.499794\pi$
$13$	1.02038	−	0.146709i	0.283003	−	0.0406897i	0.282355	+	0.959310i	$0.408885\pi$
$14$	−1.07977	−	0.693928i	−0.288582	−	0.185460i
$15$	−5.95562	+	1.32345i	−1.53774	+	0.341713i
$16$	−0.142315	+	0.989821i	−0.0355787	+	0.247455i
$17$	3.98282	+	3.45113i	0.965975	+	0.837022i	0.986665	−	0.162764i	$-0.0520410\pi$
$17$	3.98282	+	3.45113i	0.965975	+	0.837022i	−0.0206904	+	0.999786i	$0.506586\pi$
$18$	−2.40271	−	3.73869i	−0.566324	−	0.881218i
$19$	0.540257	+	0.623490i	0.123943	+	0.143038i	0.814330	−	0.580403i	$-0.197105\pi$
$19$	0.540257	+	0.623490i	0.123943	+	0.143038i	−0.690386	+	0.723441i	$0.742559\pi$
$20$	0.772062	−	2.09855i	0.172638	−	0.469250i
$21$	−1.45478	+	3.18552i	−0.317459	+	0.695137i
$22$			2.50222i			0.533474i
$23$	2.14681	−	4.28850i	0.447640	−	0.894214i
$23$	2.14681	−	4.28850i	0.447640	−	0.894214i
$24$	2.72840			0.556933
$25$	−2.66553	+	4.23024i	−0.533106	+	0.846049i
$26$	0.989116	+	0.290431i	0.193982	+	0.0569582i
$27$	−2.97791	+	2.58037i	−0.573098	+	0.496592i
$28$	−0.693928	−	1.07977i	−0.131140	−	0.204058i
$29$	1.11568	−	1.28757i	0.207177	−	0.239095i	−0.642646	−	0.766163i	$-0.722163\pi$
$29$	1.11568	−	1.28757i	0.207177	−	0.239095i	0.849823	+	0.527068i	$0.176709\pi$
$30$	−5.96720	−	1.27020i	−1.08946	−	0.231907i
$31$	7.72564	−	2.26845i	1.38757	−	0.407426i	0.499169	−	0.866504i	$-0.333639\pi$
$31$	7.72564	−	2.26845i	1.38757	−	0.407426i	0.888396	+	0.459079i	$0.151820\pi$
$32$	−0.540641	+	0.841254i	−0.0955727	+	0.148714i
$33$	6.75757	−	0.971592i	1.17634	−	0.169132i
$34$	2.18925	+	4.79378i	0.375452	+	0.822126i
$35$	1.01498	+	2.68459i	0.171563	+	0.453779i
$36$	−0.632474	−	4.39895i	−0.105412	−	0.733159i
$37$	−5.04755	+	7.85414i	−0.829812	+	1.29121i	0.124446	+	0.992226i	$0.460285\pi$
$37$	−5.04755	+	7.85414i	−0.829812	+	1.29121i	−0.954258	+	0.298986i	$0.903352\pi$
$38$	0.232428	+	0.791577i	0.0377048	+	0.128411i
$39$	0.400281	−	2.78401i	0.0640962	−	0.445799i
$40$	1.57406	−	1.58818i	0.248881	−	0.251114i
$41$	−3.34958	+	2.15265i	−0.523117	+	0.336187i	−0.775404	−	0.631466i	$-0.782454\pi$
$41$	−3.34958	+	2.15265i	−0.523117	+	0.336187i	0.252287	+	0.967652i	$0.418817\pi$
$42$	−2.64662	+	2.29331i	−0.408383	+	0.353866i
$43$	−2.74268	+	9.34069i	−0.418254	+	1.42444i	0.433810	+	0.901004i	$0.357169\pi$
$43$	−2.74268	+	9.34069i	−0.418254	+	1.42444i	−0.852064	+	0.523438i	$0.824649\pi$
$44$	−1.03946	+	2.27610i	−0.156704	+	0.343134i
$45$	−0.664663	+	9.91526i	−0.0990821	+	1.47808i
$46$	3.73431	−	3.00914i	0.550594	−	0.443673i
$47$		−	10.1453i		−	1.47984i	−0.672693	−	0.739922i	$-0.734862\pi$
$47$		−	10.1453i		−	1.47984i	0.672693	−	0.739922i	$-0.265138\pi$
$48$	2.48184	+	1.13342i	0.358223	+	0.163595i
$49$	−5.13574	−	1.50799i	−0.733677	−	0.215427i
$50$	−4.18196	+	2.74066i	−0.591418	+	0.387588i
$51$	12.0962	−	7.77374i	1.69380	−	1.08854i
$52$	0.779083	+	0.675079i	0.108039	+	0.0936166i
$53$	−3.94642	−	0.567409i	−0.542082	−	0.0779396i	−0.134166	−	0.990959i	$-0.542835\pi$
$53$	−3.94642	−	0.567409i	−0.542082	−	0.0779396i	−0.407916	+	0.913019i	$0.633745\pi$
$54$	−3.78072	+	1.11012i	−0.514491	+	0.151068i
$55$	3.33300	−	4.49406i	0.449421	−	0.605979i
$56$	−0.182665	−	1.27046i	−0.0244097	−	0.169773i
$57$	2.04751	−	0.935066i	0.271199	−	0.123853i
$58$	1.54974	−	0.707741i	0.203490	−	0.0929310i
$59$	1.11256	+	7.73803i	0.144843	+	1.00741i	0.924495	+	0.381193i	$0.124487\pi$
$59$	1.11256	+	7.73803i	0.144843	+	1.00741i	−0.779652	+	0.626213i	$0.784604\pi$
$60$	−4.90030	−	3.63428i	−0.632626	−	0.469184i
$61$	−3.40094	+	0.998606i	−0.435446	+	0.127858i	−0.492106	−	0.870535i	$-0.663773\pi$
$61$	−3.40094	+	0.998606i	−0.435446	+	0.127858i	0.0566607	+	0.998393i	$0.481955\pi$
$62$	7.96983	+	1.14589i	1.01217	+	0.145528i
$63$	4.31098	+	3.73549i	0.543133	+	0.470627i
$64$	−0.841254	+	0.540641i	−0.105157	+	0.0675801i
$65$	−1.38962	−	1.83914i	−0.172362	−	0.228118i
$66$	6.55051	+	1.92340i	0.806313	+	0.236755i
$67$	−13.0761	−	5.97166i	−1.59750	−	0.729555i	−0.599987	−	0.800010i	$-0.704828\pi$
$67$	−13.0761	−	5.97166i	−1.59750	−	0.729555i	−0.997515	+	0.0704553i	$0.977555\pi$
$68$			5.27002i			0.639084i
$69$	−9.57658	−	8.91658i	−1.15289	−	1.07343i
$70$	−0.191962	+	2.86363i	−0.0229438	+	0.342269i
$71$	2.65819	−	5.82062i	0.315469	−	0.690781i	−0.683773	−	0.729694i	$-0.739662\pi$
$71$	2.65819	−	5.82062i	0.315469	−	0.690781i	0.999243	+	0.0389133i	$0.0123896\pi$
$72$	1.25207	−	4.26417i	0.147558	−	0.502537i
$73$	−12.6363	+	10.9494i	−1.47896	+	1.28153i	−0.604343	+	0.796724i	$0.706564\pi$
$73$	−12.6363	+	10.9494i	−1.47896	+	1.28153i	−0.874621	+	0.484806i	$0.838890\pi$
$74$	−7.85414	+	5.04755i	−0.913025	+	0.586766i
$75$	9.02535	+	10.2298i	1.04216	+	1.18123i
$76$	−0.117409	+	0.816598i	−0.0134677	+	0.0936702i
$77$	−0.904831	−	3.08157i	−0.103115	−	0.351178i
$78$	1.52063	−	2.36614i	0.172177	−	0.267913i
$79$	1.01786	+	7.07936i	0.114518	+	0.796490i	0.963431	+	0.267957i	$0.0863486\pi$
$79$	1.01786	+	7.07936i	0.114518	+	0.796490i	−0.848913	+	0.528533i	$0.822742\pi$
$80$	2.09157	−	0.790774i	0.233845	−	0.0884112i
$81$	−1.07250	−	2.34844i	−0.119166	−	0.260938i
$82$	−3.94113	+	0.566649i	−0.435225	+	0.0625759i
$83$	−2.41287	+	3.75450i	−0.264847	+	0.412110i	−0.948051	−	0.318117i	$-0.896949\pi$
$83$	−2.41287	+	3.75450i	−0.264847	+	0.412110i	0.683204	+	0.730227i	$0.260586\pi$
$84$	−3.36013	+	0.986624i	−0.366620	+	0.107649i
$85$	2.45345	−	11.5259i	0.266114	−	1.25016i
$86$	−6.37509	+	7.35725i	−0.687444	+	0.793352i
$87$	−2.51310	−	3.91046i	−0.269433	−	0.419245i
$88$	−1.89105	+	1.63860i	−0.201586	+	0.174676i
$89$	6.62662	+	1.94575i	0.702421	+	0.206249i	0.613391	−	0.789780i	$-0.289805\pi$
$89$	6.62662	+	1.94575i	0.702421	+	0.206249i	0.0890300	+	0.996029i	$0.471623\pi$
$90$	−4.72355	+	8.74313i	−0.497905	+	0.921606i
$91$	−1.32316			−0.138705
$92$	4.64689	−	1.18592i	0.484472	−	0.123641i
$93$		−	21.9685i		−	2.27803i
$94$	4.21451	−	9.22849i	0.434694	−	0.951846i
$95$	0.636947	−	1.73130i	0.0653494	−	0.177627i
$96$	1.78672	+	2.06199i	0.182357	+	0.210451i
$97$	−8.57591	−	13.3444i	−0.870752	−	1.35492i	−0.934132	−	0.356927i	$-0.883825\pi$
$97$	−8.57591	−	13.3444i	−0.870752	−	1.35492i	0.0633809	−	0.997989i	$-0.479812\pi$
$98$	−4.04519	−	3.50518i	−0.408626	−	0.354076i
$99$	1.58259	−	11.0071i	0.159056	−	1.10626i
$100$	−4.94255	+	0.755747i	−0.494255	+	0.0755747i
$101$	10.5636	+	6.78883i	1.05112	+	0.675514i	0.947713	−	0.319125i	$-0.103389\pi$
$101$	10.5636	+	6.78883i	1.05112	+	0.675514i	0.103407	+	0.994639i	$0.467025\pi$
$102$	14.2324	−	2.04631i	1.40922	−	0.202615i
$103$	5.37237	−	2.45348i	0.529356	−	0.241749i	−0.132763	−	0.991148i	$-0.542385\pi$
$103$	5.37237	−	2.45348i	0.529356	−	0.241749i	0.662118	+	0.749399i	$0.269658\pi$
$104$	0.428241	+	0.937716i	0.0419924	+	0.0919506i
$105$	7.80816	−	0.593509i	0.761998	−	0.0579205i
$106$	−3.35408	−	2.15553i	−0.325777	−	0.209364i
$107$	−0.0366346	−	0.124766i	−0.00354160	−	0.0120616i	0.957703	−	0.287758i	$-0.0929098\pi$
$107$	−0.0366346	−	0.124766i	−0.00354160	−	0.0120616i	−0.961245	+	0.275696i	$0.911092\pi$
$108$	−3.90023	−	0.560768i	−0.375300	−	0.0539599i
$109$	−3.33469	+	3.84844i	−0.319405	+	0.368613i	−0.892634	−	0.450782i	$-0.851145\pi$
$109$	−3.33469	+	3.84844i	−0.319405	+	0.368613i	0.573229	+	0.819395i	$0.305691\pi$
$110$	4.89870	−	2.70336i	0.467073	−	0.257755i
$111$	16.6813	+	19.2512i	1.58332	+	1.82724i
$112$	0.361612	−	1.23154i	0.0341691	−	0.116369i
$113$	13.7000	+	6.25659i	1.28879	+	0.588571i	0.937594	−	0.347731i	$-0.113048\pi$
$113$	13.7000	+	6.25659i	1.28879	+	0.588571i	0.351196	+	0.936302i	$0.385775\pi$
$114$	2.25092			0.210818
$115$	−10.7152	+	0.430333i	−0.999195	+	0.0401287i
$116$	1.70370			0.158184
$117$	−4.16739	−	1.90318i	−0.385275	−	0.175949i
$118$	−2.20247	+	7.50094i	−0.202754	+	0.690517i
$119$	−4.42962	−	5.11206i	−0.406063	−	0.468622i
$120$	−2.94773	−	5.34152i	−0.269090	−	0.487612i
$121$	3.10333	−	3.58143i	0.282121	−	0.325585i
$122$	−3.50844	−	0.504437i	−0.317639	−	0.0456696i
$123$	3.06062	+	10.4235i	0.275967	+	0.939857i
$124$	6.77360	+	4.35313i	0.608287	+	0.390922i
$125$	11.1615	+	0.648128i	0.998318	+	0.0579704i
$126$	2.36963	+	5.18877i	0.211103	+	0.462252i
$127$	14.1820	−	6.47670i	1.25845	−	0.574715i	0.329232	−	0.944249i	$-0.393210\pi$
$127$	14.1820	−	6.47670i	1.25845	−	0.574715i	0.929217	+	0.369534i	$0.120483\pi$
$128$	−0.989821	+	0.142315i	−0.0874887	+	0.0125790i
$129$	22.3446	+	14.3600i	1.96733	+	1.26433i
$130$	−0.500039	−	2.25021i	−0.0438563	−	0.197357i
$131$	1.62591	−	11.3084i	0.142056	−	0.988023i	−0.786701	−	0.617334i	$-0.788213\pi$
$131$	1.62591	−	11.3084i	0.142056	−	0.988023i	0.928757	−	0.370689i	$-0.120878\pi$
$132$	5.15955	+	4.47077i	0.449081	+	0.389131i
$133$	−0.572487	−	0.890808i	−0.0496410	−	0.0772428i
$134$	−9.41374	−	10.8640i	−0.813223	−	0.938509i
$135$	8.26900	+	3.04218i	0.711682	+	0.261829i
$136$	−2.18925	+	4.79378i	−0.187726	+	0.411063i
$137$		−	7.19734i		−	0.614910i	−0.951563	−	0.307455i	$-0.900523\pi$
$137$		−	7.19734i		−	0.614910i	0.951563	−	0.307455i	$-0.0994774\pi$
$138$	−5.00709	−	12.0891i	−0.426231	−	1.02909i
$139$	10.1060			0.857182			0.428591	−	0.903499i	$-0.359010\pi$
$139$	10.1060			0.857182			0.428591	+	0.903499i	$0.359010\pi$
$140$	−1.36421	+	2.52511i	−0.115297	+	0.213411i
$141$	−26.5592	−	7.79849i	−2.23669	−	0.656752i
$142$	4.83595	−	4.19037i	0.405824	−	0.351648i
$143$	1.39457	+	2.16999i	0.116620	+	0.181464i
$144$	2.91033	−	3.35869i	0.242527	−	0.279891i
$145$	−3.72610	−	0.793153i	−0.309436	−	0.0658678i
$146$	−16.0429	+	4.71062i	−1.32772	+	0.389854i
$147$	−7.89548	+	12.2856i	−0.651208	+	1.01330i
$148$	−9.24120	+	1.32868i	−0.759622	+	0.109217i
$149$	−5.82013	−	12.7443i	−0.476804	−	1.04405i	−0.983330	−	0.181830i	$-0.941798\pi$
$149$	−5.82013	−	12.7443i	−0.476804	−	1.04405i	0.506527	−	0.862224i	$-0.330929\pi$
$150$	3.96015	+	13.0546i	0.323345	+	1.06590i
$151$	−1.82735	−	12.7095i	−0.148707	−	1.03428i	−0.918339	−	0.395795i	$-0.870469\pi$
$151$	−1.82735	−	12.7095i	−0.148707	−	1.03428i	0.769632	−	0.638488i	$-0.220440\pi$
$152$	−0.446026	+	0.694030i	−0.0361775	+	0.0562933i
$153$	−6.59845	−	22.4723i	−0.533453	−	1.81677i
$154$	0.457068	−	3.17898i	0.0368316	−	0.256169i
$155$	−12.7877	−	12.6740i	−1.02713	−	1.01800i
$156$	2.36614	−	1.52063i	0.189443	−	0.121748i
$157$	−9.49942	+	8.23130i	−0.758136	+	0.656929i	−0.945596	−	0.325343i	$-0.894520\pi$
$157$	−9.49942	+	8.23130i	−0.758136	+	0.656929i	0.187460	+	0.982272i	$0.439975\pi$
$158$	−2.01500	+	6.86245i	−0.160304	+	0.545947i
$159$	−4.51894	+	9.89511i	−0.358376	+	0.784733i
$160$	2.23106	+	0.149558i	0.176381	+	0.0118236i
$161$	−3.51080	+	5.05624i	−0.276690	+	0.398487i
$162$		−	2.58174i		−	0.202841i
$163$	8.89411	+	4.06181i	0.696641	+	0.318145i	0.732072	−	0.681227i	$-0.238553\pi$
$163$	8.89411	+	4.06181i	0.696641	+	0.318145i	−0.0354316	+	0.999372i	$0.511281\pi$
$164$	−3.82037	−	1.12176i	−0.298321	−	0.0875949i
$165$	−9.20292	−	12.1799i	−0.716446	−	0.948204i
$166$	−3.75450	+	2.41287i	−0.291406	+	0.187275i
$167$	13.7420	+	11.9075i	1.06339	+	0.921429i	0.997080	−	0.0763704i	$-0.0243331\pi$
$167$	13.7420	+	11.9075i	1.06339	+	0.921429i	0.0663062	+	0.997799i	$0.478879\pi$
$168$	−3.46634	−	0.498385i	−0.267434	−	0.0384512i
$169$	−11.4538	+	3.36313i	−0.881058	+	0.258702i
$170$	7.01976	−	9.46512i	0.538391	−	0.725941i
$171$	−0.521788	−	3.62912i	−0.0399021	−	0.277525i
$172$	−8.85530	+	4.04408i	−0.675210	+	0.308358i
$173$	−4.26160	+	1.94621i	−0.324004	+	0.147968i	−0.570776	−	0.821106i	$-0.693357\pi$
$173$	−4.26160	+	1.94621i	−0.324004	+	0.147968i	0.246772	+	0.969074i	$0.420630\pi$
$174$	−0.661533	−	4.60106i	−0.0501507	−	0.348805i
$175$	4.15918	−	4.88747i	0.314404	−	0.369458i
$176$	−2.40086	+	0.704956i	−0.180972	+	0.0531380i
$177$	21.1125	+	3.03552i	1.58691	+	0.228163i
$178$	5.21949	+	4.52272i	0.391218	+	0.338992i
$179$	−7.44686	+	4.78581i	−0.556605	+	0.357708i	−0.788502	−	0.615032i	$-0.789143\pi$
$179$	−7.44686	+	4.78581i	−0.556605	+	0.357708i	0.231897	+	0.972740i	$0.425507\pi$
$180$	−7.92871	+	5.99079i	−0.590971	+	0.446527i
$181$	−19.9039	−	5.84430i	−1.47944	−	0.434404i	−0.560287	−	0.828298i	$-0.689309\pi$
$181$	−19.9039	−	5.84430i	−1.47944	−	0.434404i	−0.919156	+	0.393895i	$0.871128\pi$
$182$	−1.20359	−	0.549659i	−0.0892157	−	0.0407434i
$183$			9.67087i			0.714892i
$184$	4.71961	+	0.851638i	0.347934	+	0.0627836i
$185$	20.8297	+	1.39630i	1.53143	+	0.102658i
$186$	9.12606	−	19.9833i	0.669155	−	1.46525i
$187$	−3.71513	+	12.6526i	−0.271677	+	0.925248i
$188$	7.66731	−	6.64376i	0.559196	−	0.484546i
$189$	4.25467	−	2.73431i	0.309482	−	0.198892i
$190$	1.29859	−	1.31024i	0.0942099	−	0.0950551i
$191$	2.32093	−	16.1424i	0.167937	−	1.16803i	−0.715203	−	0.698917i	$-0.753666\pi$
$191$	2.32093	−	16.1424i	0.167937	−	1.16803i	0.883140	−	0.469110i	$-0.155425\pi$
$192$	0.768680	+	2.61788i	0.0554747	+	0.188930i
$193$	−5.16166	+	8.03169i	−0.371544	+	0.578134i	−0.975802	−	0.218655i	$-0.929833\pi$
$193$	−5.16166	+	8.03169i	−0.371544	+	0.578134i	0.604258	+	0.796789i	$0.293470\pi$
$194$	−2.25747	−	15.7010i	−0.162077	−	1.12727i
$195$	−5.88284	+	2.22416i	−0.421279	+	0.159276i
$196$	−2.22353	−	4.86885i	−0.158824	−	0.347775i
$197$	−5.03127	+	0.723387i	−0.358463	+	0.0515392i	−0.319194	−	0.947689i	$-0.603412\pi$
$197$	−5.03127	+	0.723387i	−0.358463	+	0.0515392i	−0.0392691	+	0.999229i	$0.512503\pi$
$198$	6.01210	−	9.35501i	0.427261	−	0.664832i
$199$	−0.513963	+	0.150913i	−0.0364338	+	0.0106979i	−0.299899	−	0.953971i	$-0.596953\pi$
$199$	−0.513963	+	0.150913i	−0.0364338	+	0.0106979i	0.263465	+	0.964669i	$0.415135\pi$
$200$	−4.80985	−	1.36576i	−0.340108	−	0.0965738i
$201$	−25.6845	+	29.6415i	−1.81164	+	2.09075i
$202$	6.78883	+	10.5636i	0.477660	+	0.743254i
$203$	−1.65263	+	1.43201i	−0.115992	+	0.100508i
$204$	13.7963	+	4.05096i	0.965934	+	0.283624i
$205$	7.83318	+	4.23194i	0.547093	+	0.295571i
$206$	5.90610			0.411497
$207$	−18.3303	+	10.8752i	−1.27404	+	0.755879i
$208$			1.03087i			0.0714782i
$209$	−0.857548	+	1.87777i	−0.0593178	+	0.129888i
$210$	7.34910	+	2.70375i	0.507136	+	0.186577i
$211$	3.43509	+	3.96431i	0.236482	+	0.272914i	0.861569	−	0.507640i	$-0.169482\pi$
$211$	3.43509	+	3.96431i	0.236482	+	0.272914i	−0.625087	+	0.780555i	$0.714937\pi$
$212$	−2.15553	−	3.35408i	−0.148043	−	0.230359i
$213$	−13.1944	−	11.4330i	−0.904067	−	0.783379i
$214$	0.0185057	−	0.128710i	0.00126502	−	0.00879842i
$215$	21.2498	−	4.72210i	1.44923	−	0.322045i
$216$	−3.31482	−	2.13031i	−0.225545	−	0.144949i
$217$	−10.2295	+	1.47078i	−0.694425	+	0.0998432i
$218$	−4.63204	+	2.11538i	−0.313721	+	0.143272i
$219$	18.9510	+	41.4969i	1.28059	+	2.80410i
$220$	5.57903	−	0.424070i	0.376138	−	0.0285908i
$221$	4.57030	+	2.93715i	0.307432	+	0.197574i
$222$	7.17658	+	24.4412i	0.481660	+	1.64038i
$223$	−5.24366	−	0.753925i	−0.351142	−	0.0504866i	−0.0355127	−	0.999369i	$-0.511306\pi$
$223$	−5.24366	−	0.753925i	−0.351142	−	0.0504866i	−0.315629	+	0.948883i	$0.602216\pi$
$224$	0.840533	−	0.970027i	0.0561605	−	0.0648126i
$225$	20.1296	−	9.41107i	1.34198	−	0.627405i
$226$	9.86290	+	11.3824i	0.656070	+	0.757146i
$227$	1.89321	−	6.44767i	0.125657	−	0.427947i	−0.872502	−	0.488611i	$-0.837504\pi$
$227$	1.89321	−	6.44767i	0.125657	−	0.427947i	0.998158	+	0.0606642i	$0.0193219\pi$
$228$	2.04751	+	0.935066i	0.135600	+	0.0619263i
$229$	11.2865			0.745830			0.372915	−	0.927866i	$-0.378358\pi$
$229$	11.2865			0.745830			0.372915	+	0.927866i	$0.378358\pi$
$230$	−9.92563	−	4.05980i	−0.654476	−	0.267695i
$231$	−8.76273			−0.576545
$232$	1.54974	+	0.707741i	0.101745	+	0.0464655i
$233$	−1.25006	+	4.25733i	−0.0818945	+	0.278907i	−0.990252	−	0.139288i	$-0.955519\pi$
$233$	−1.25006	+	4.25733i	−0.0818945	+	0.278907i	0.908358	+	0.418194i	$0.137337\pi$
$234$	−3.00018	−	3.46239i	−0.196128	−	0.226344i
$235$	−19.8619	+	10.9608i	−1.29565	+	0.715007i
$236$	−5.11944	+	5.90815i	−0.333247	+	0.384588i
$237$	19.3154	+	2.77713i	1.25467	+	0.180394i
$238$	−1.90570	−	6.49023i	−0.123528	−	0.420699i
$239$	−15.2662	−	9.81100i	−0.987489	−	0.634621i	−0.0560155	−	0.998430i	$-0.517840\pi$
$239$	−15.2662	−	9.81100i	−0.987489	−	0.634621i	−0.931473	+	0.363809i	$0.881476\pi$
$240$	−0.462404	−	6.08335i	−0.0298480	−	0.392678i
$241$	7.55301	+	16.5388i	0.486532	+	1.06536i	0.980616	+	0.195942i	$0.0627764\pi$
$241$	7.55301	+	16.5388i	0.486532	+	1.06536i	−0.494084	+	0.869414i	$0.664496\pi$
$242$	4.31067	−	1.96862i	0.277100	−	0.126547i
$243$	−18.6730	+	2.68478i	−1.19788	+	0.172228i
$244$	−2.98184	−	1.91631i	−0.190893	−	0.122679i
$245$	2.59633	+	11.6837i	0.165873	+	0.746442i
$246$	−1.54605	+	10.7530i	−0.0985724	+	0.685586i
$247$	0.642739	+	0.556937i	0.0408965	+	0.0354370i
$248$	4.35313	+	6.77360i	0.276424	+	0.430124i
$249$	7.97412	+	9.20263i	0.505339	+	0.583193i
$250$	9.88365	+	5.22623i	0.625097	+	0.330536i
$251$	3.33161	−	7.29521i	0.210289	−	0.460470i	−0.774868	−	0.632123i	$-0.782184\pi$
$251$	3.33161	−	7.29521i	0.210289	−	0.460470i	0.985157	+	0.171654i	$0.0549110\pi$
$252$			5.70425i			0.359334i
$253$	11.9926	+	0.428628i	0.753965	+	0.0269476i
$254$	15.5909			0.978262
$255$	−28.2875	−	15.2826i	−1.77143	−	0.957032i
$256$	−0.959493	−	0.281733i	−0.0599683	−	0.0176083i
$257$	−5.88681	+	5.10095i	−0.367209	+	0.318189i	−0.818846	−	0.574013i	$-0.805386\pi$
$257$	−5.88681	+	5.10095i	−0.367209	+	0.318189i	0.451637	+	0.892202i	$0.350840\pi$
$258$	14.3600	+	22.3446i	0.894015	+	1.39112i
$259$	7.84741	−	9.05639i	0.487614	−	0.562737i
$260$	0.479922	−	2.25459i	0.0297635	−	0.139824i
$261$	−7.26485	+	2.13315i	−0.449683	+	0.132039i
$262$	6.17668	−	9.61110i	0.381596	−	0.593775i
$263$	−8.47255	+	1.21817i	−0.522440	+	0.0751155i	−0.398490	−	0.917173i	$-0.630465\pi$
$263$	−8.47255	+	1.21817i	−0.522440	+	0.0751155i	−0.123950	+	0.992288i	$0.539556\pi$
$264$	2.83606	+	6.21011i	0.174548	+	0.382206i
$265$	3.15281	+	8.33910i	0.193676	+	0.512267i
$266$	−0.150698	−	1.04813i	−0.00923988	−	0.0642648i
$267$	10.1875	−	15.8521i	0.623466	−	0.970131i
$268$	−4.04995	−	13.7929i	−0.247390	−	0.842534i
$269$	1.74040	−	12.1047i	0.106114	−	0.738039i	−0.865404	−	0.501074i	$-0.832938\pi$
$269$	1.74040	−	12.1047i	0.106114	−	0.738039i	0.971518	−	0.236965i	$-0.0761526\pi$
$270$	6.25798	+	6.20233i	0.380848	+	0.377462i
$271$	−25.9284	+	16.6632i	−1.57504	+	1.01222i	−0.597394	+	0.801948i	$0.703797\pi$
$271$	−25.9284	+	16.6632i	−1.57504	+	1.01222i	−0.977644	+	0.210267i	$0.932567\pi$
$272$	−3.98282	+	3.45113i	−0.241494	+	0.209255i
$273$	−1.01708	+	3.46387i	−0.0615568	+	0.209643i
$274$	2.98988	−	6.54693i	0.180625	−	0.395515i
$275$	−12.3991	−	1.66984i	−0.747697	−	0.100695i
$276$	0.467374	−	13.0766i	0.0281326	−	0.787120i
$277$			17.6756i			1.06202i	0.847365	+	0.531011i	$0.178188\pi$
$277$			17.6756i			1.06202i	−0.847365	+	0.531011i	$0.821812\pi$
$278$	9.19276	+	4.19819i	0.551345	+	0.251791i
$279$	−34.3342	−	10.0814i	−2.05553	−	0.603559i
$280$	−2.28990	+	1.73020i	−0.136847	+	0.103400i
$281$	20.7971	−	13.3655i	1.24065	−	0.797316i	0.255133	−	0.966906i	$-0.417881\pi$
$281$	20.7971	−	13.3655i	1.24065	−	0.797316i	0.985515	+	0.169590i	$0.0542442\pi$
$282$	−20.9195	−	18.1269i	−1.24574	−	1.07944i
$283$	28.1706	+	4.05032i	1.67457	+	0.240767i	0.913188	−	0.407538i	$-0.133613\pi$
$283$	28.1706	+	4.05032i	1.67457	+	0.240767i	0.761381	+	0.648305i	$0.224522\pi$
$284$	6.13968	−	1.80277i	0.364323	−	0.106975i
$285$	−4.04272	−	2.99827i	−0.239470	−	0.177602i
$286$	0.367097	+	2.55321i	0.0217069	+	0.150975i
$287$	4.64874	−	2.12301i	0.274406	−	0.125317i
$288$	4.04258	−	1.84618i	0.238211	−	0.108787i
$289$	1.53317	+	10.6635i	0.0901866	+	0.627262i
$290$	−3.05989	−	2.26936i	−0.179683	−	0.133261i
$291$	−41.5262	+	12.1932i	−2.43431	+	0.714777i
$292$	−16.5500	−	2.37953i	−0.968516	−	0.139252i
$293$	−16.9987	−	14.7294i	−0.993073	−	0.860502i	−0.00284964	−	0.999996i	$-0.500907\pi$
$293$	−16.9987	−	14.7294i	−0.993073	−	0.860502i	−0.990223	+	0.139494i	$0.955453\pi$
$294$	−12.2856	+	7.89548i	−0.716511	+	0.460474i
$295$	13.9471	−	10.5382i	0.812031	−	0.613556i
$296$	−8.95805	−	2.63032i	−0.520676	−	0.152884i
$297$	−8.96858	−	4.09581i	−0.520410	−	0.237663i
$298$		−	14.0104i		−	0.811600i
$299$	1.56140	−	4.69086i	0.0902983	−	0.271279i
$300$	−1.82079	+	13.5200i	−0.105123	+	0.780576i
$301$	5.19069	−	11.3660i	0.299186	−	0.655127i
$302$	3.61749	−	12.3201i	0.208163	−	0.708940i
$303$	25.8924	−	22.4359i	1.48748	−	1.28891i
$304$	−0.694030	+	0.446026i	−0.0398054	+	0.0255814i
$305$	5.62934	+	5.57929i	0.322335	+	0.319469i
$306$	3.33315	−	23.1826i	0.190544	−	1.32526i
$307$	−8.44127	−	28.7483i	−0.481769	−	1.64075i	−0.738487	−	0.674267i	$-0.764460\pi$
$307$	−8.44127	−	28.7483i	−0.481769	−	1.64075i	0.256719	−	0.966486i	$-0.417359\pi$
$308$	1.73636	−	2.70183i	0.0989382	−	0.153951i
$309$	−2.29329	−	15.9502i	−0.130461	−	0.907375i
$310$	−6.36714	−	16.8409i	−0.361629	−	0.956499i
$311$	2.66200	+	5.82897i	0.150948	+	0.330531i	0.969967	−	0.243236i	$-0.0782089\pi$
$311$	2.66200	+	5.82897i	0.150948	+	0.330531i	−0.819019	+	0.573767i	$0.805482\pi$
$312$	2.78401	−	0.400281i	0.157614	−	0.0226614i
$313$	1.17207	−	1.82377i	0.0662491	−	0.103086i	−0.806548	−	0.591168i	$-0.798667\pi$
$313$	1.17207	−	1.82377i	0.0662491	−	0.103086i	0.872798	+	0.488082i	$0.162303\pi$
$314$	−12.0604	+	3.54125i	−0.680607	+	0.199844i
$315$	2.65560	−	12.4756i	0.149626	−	0.702919i
$316$	−4.68367	+	5.40524i	−0.263477	+	0.304069i
$317$	4.76371	+	7.41248i	0.267557	+	0.416326i	0.948871	−	0.315665i	$-0.102228\pi$
$317$	4.76371	+	7.41248i	0.267557	+	0.416326i	−0.681314	+	0.731991i	$0.738591\pi$
$318$	−8.22115	+	7.12367i	−0.461019	+	0.399476i
$319$	4.09034	+	1.20103i	0.229015	+	0.0672448i
$320$	1.96732	+	1.06286i	0.109976	+	0.0594156i
$321$	−0.354784			−0.0198021
$322$	−5.29398	+	3.14087i	−0.295022	+	0.175034i
$323$			4.34774i			0.241915i
$324$	1.07250	−	2.34844i	0.0595831	−	0.130469i
$325$	−2.09924	+	4.70752i	−0.116445	+	0.261126i
$326$	6.40304	+	7.38950i	0.354631	+	0.409266i
$327$	7.51145	+	11.6880i	0.415384	+	0.646351i
$328$	−3.00914	−	2.60743i	−0.166152	−	0.143971i
$329$	−1.85319	+	12.8892i	−0.102170	+	0.710607i
$330$	−3.31155	−	14.9023i	−0.182295	−	0.820342i
$331$	−0.696634	−	0.447699i	−0.0382905	−	0.0246078i	0.521356	−	0.853340i	$-0.325427\pi$
$331$	−0.696634	−	0.447699i	−0.0382905	−	0.0246078i	−0.559646	+	0.828732i	$0.689063\pi$
$332$	−4.41756	+	0.635149i	−0.242445	+	0.0348583i
$333$	37.7424	−	17.2364i	2.06827	−	0.944549i
$334$	7.55359	+	16.5401i	0.413314	+	0.905031i
$335$	2.43627	+	32.0514i	0.133108	+	1.75116i
$336$	−2.94606	−	1.89332i	−0.160721	−	0.103289i
$337$	−2.40619	−	8.19473i	−0.131074	−	0.446395i	0.867635	−	0.497202i	$-0.165639\pi$
$337$	−2.40619	−	8.19473i	−0.131074	−	0.446395i	−0.998709	+	0.0508063i	$0.983821\pi$
$338$	−11.8158	−	1.69885i	−0.642694	−	0.0924055i
$339$	26.9100	−	31.0558i	1.46155	−	1.68672i
$340$	10.3174	−	5.69366i	0.559537	−	0.308782i
$341$	13.1937	+	15.2263i	0.714478	+	0.824552i
$342$	1.03295	−	3.51792i	0.0558558	−	0.190227i
$343$	14.4221	+	6.58635i	0.778720	+	0.355629i
$344$	−9.73503			−0.524878
$345$	−7.10998	+	28.3819i	−0.382788	+	1.52803i
$346$	−4.68498			−0.251866
$347$	−3.39729	−	1.55149i	−0.182376	−	0.0832885i	0.322134	−	0.946694i	$-0.395600\pi$
$347$	−3.39729	−	1.55149i	−0.182376	−	0.0832885i	−0.504511	+	0.863406i	$0.668327\pi$
$348$	1.30960	−	4.46008i	0.0702018	−	0.239085i
$349$	−3.56479	−	4.11399i	−0.190819	−	0.220217i	0.652276	−	0.757981i	$-0.273814\pi$
$349$	−3.56479	−	4.11399i	−0.190819	−	0.220217i	−0.843095	+	0.537765i	$0.819269\pi$
$350$	5.81365	−	2.71802i	0.310753	−	0.145284i
$351$	−2.66004	+	3.06985i	−0.141982	+	0.163856i
$352$	−2.47675	−	0.356103i	−0.132011	−	0.0189803i
$353$	5.00056	+	17.0304i	0.266153	+	0.906434i	0.978784	+	0.204895i	$0.0656853\pi$
$353$	5.00056	+	17.0304i	0.266153	+	0.906434i	−0.712631	+	0.701539i	$0.752496\pi$
$354$	17.9436	+	11.5316i	0.953691	+	0.612900i
$355$	−14.2672	+	1.08447i	−0.757223	+	0.0575575i
$356$	2.86901	+	6.28227i	0.152057	+	0.332959i
$357$	−16.7877	+	7.66671i	−0.888502	+	0.405765i
$358$	−8.76200	+	1.25979i	−0.463086	+	0.0665817i
$359$	−14.6196	−	9.39543i	−0.771592	−	0.495872i	0.0946415	−	0.995511i	$-0.469830\pi$
$359$	−14.6196	−	9.39543i	−0.771592	−	0.495872i	−0.866234	+	0.499639i	$0.833466\pi$
$360$	−9.70088	+	2.15571i	−0.511281	+	0.113616i
$361$	2.60712	−	18.1329i	0.137217	−	0.954364i
$362$	−15.6774	−	13.5845i	−0.823985	−	0.713987i
$363$	−6.99031	−	10.8771i	−0.366896	−	0.570901i
$364$	−0.866483	−	0.999975i	−0.0454161	−	0.0524129i
$365$	35.0882	+	12.9090i	1.83660	+	0.675689i
$366$	−4.01743	+	8.79694i	−0.209994	+	0.459823i
$367$		−	26.4546i		−	1.38092i	−0.723372	−	0.690458i	$-0.757409\pi$
$367$		−	26.4546i		−	1.38092i	0.723372	−	0.690458i	$-0.242591\pi$
$368$	3.93932	+	2.73527i	0.205351	+	0.142586i
$369$	17.6952			0.921177
$370$	18.3673	+	9.92309i	0.954871	+	0.515877i
$371$	4.91014	+	1.44175i	0.254922	+	0.0748517i
$372$	16.6027	−	14.3863i	0.860811	−	0.745897i
$373$	6.35988	+	9.89617i	0.329302	+	0.512404i	0.965943	−	0.258757i	$-0.0833128\pi$
$373$	6.35988	+	9.89617i	0.329302	+	0.512404i	−0.636640	+	0.771161i	$0.719676\pi$
$374$	−8.63547	+	9.96587i	−0.446530	+	0.515323i
$375$	10.2764	−	28.7214i	0.530670	−	1.48317i
$376$	9.73435	−	2.85826i	0.502011	−	0.147404i
$377$	0.949526	−	1.47749i	0.0489031	−	0.0760947i
$378$	5.00606	−	0.719762i	0.257484	−	0.0370206i
$379$	−0.218894	−	0.479311i	−0.0112438	−	0.0246205i	0.903927	−	0.427687i	$-0.140672\pi$
$379$	−0.218894	−	0.479311i	−0.0112438	−	0.0246205i	−0.915171	+	0.403067i	$0.867944\pi$
$380$	1.72554	−	0.652385i	0.0885182	−	0.0334666i
$381$	−6.05384	−	42.1054i	−0.310148	−	2.15712i
$382$	8.81701	−	13.7195i	0.451118	−	0.701953i
$383$	0.866849	+	2.95222i	0.0442939	+	0.150851i	0.978671	−	0.205435i	$-0.0658610\pi$
$383$	0.866849	+	2.95222i	0.0442939	+	0.150851i	−0.934377	+	0.356286i	$0.884043\pi$
$384$	−0.388292	+	2.70063i	−0.0198150	+	0.137816i
$385$	−5.05536	+	5.10072i	−0.257645	+	0.259957i
$386$	−8.03169	+	5.16166i	−0.408802	+	0.262721i
$387$	32.6970	−	28.3321i	1.66208	−	1.44020i
$388$	4.46898	−	15.2199i	0.226878	−	0.772676i
$389$	−8.17077	+	17.8915i	−0.414275	+	0.907135i	0.581347	+	0.813656i	$0.302526\pi$
$389$	−8.17077	+	17.8915i	−0.414275	+	0.907135i	−0.995621	+	0.0934789i	$0.970201\pi$
$390$	−6.27517	−	0.420652i	−0.317756	−	0.0213005i
$391$	23.3505	−	9.67138i	1.18089	−	0.489103i
$392$		−	5.35255i		−	0.270345i
$393$	−28.3544	−	12.9490i	−1.43029	−	0.653192i
$394$	−4.87711	−	1.43205i	−0.245705	−	0.0721455i
$395$	12.7599	−	9.64115i	0.642020	−	0.485099i
$396$	9.35501	−	6.01210i	0.470107	−	0.302119i
$397$	20.5192	+	17.7800i	1.02983	+	0.892350i	0.994257	−	0.107017i	$-0.0341299\pi$
$397$	20.5192	+	17.7800i	1.02983	+	0.892350i	0.0355698	+	0.999367i	$0.488675\pi$
$398$	−0.530208	−	0.0762325i	−0.0265769	−	0.00382119i
$399$	−2.77209	+	0.813960i	−0.138778	+	0.0407490i
$400$	−3.80784	−	3.24042i	−0.190392	−	0.162021i
$401$	2.38450	+	16.5846i	0.119076	+	0.828195i	0.958577	+	0.284835i	$0.0919389\pi$
$401$	2.38450	+	16.5846i	0.119076	+	0.828195i	−0.839500	+	0.543360i	$0.817152\pi$
$402$	−35.6769	+	16.2931i	−1.77940	+	0.812626i
$403$	7.55029	−	3.44810i	0.376107	−	0.171762i
$404$	1.78705	+	12.4292i	0.0889090	+	0.618375i
$405$	−3.43893	+	4.63689i	−0.170882	+	0.230409i
$406$	−2.09817	+	0.616077i	−0.104130	+	0.0305754i
$407$	−23.1235	−	3.32466i	−1.14619	−	0.164797i
$408$	10.8667	+	9.41608i	0.537983	+	0.466165i
$409$	17.1243	−	11.0051i	0.846744	−	0.544170i	−0.0438134	−	0.999040i	$-0.513951\pi$
$409$	17.1243	−	11.0051i	0.846744	−	0.544170i	0.890558	+	0.454870i	$0.150314\pi$
$410$	5.36730	+	7.10352i	0.265072	+	0.350818i
$411$	−18.8418	−	5.53245i	−0.929398	−	0.272896i
$412$	5.37237	+	2.45348i	0.264678	+	0.120874i
$413$		−	10.0341i		−	0.493747i
$414$	−21.1915	+	2.27777i	−1.04151	+	0.111946i
$415$	9.95719	+	0.667473i	0.488779	+	0.0327650i
$416$	−0.428241	+	0.937716i	−0.0209962	+	0.0459753i
$417$	7.76830	−	26.4564i	0.380415	−	1.29558i
$418$	−1.56011	+	1.35184i	−0.0763073	+	0.0661207i
$419$	15.4046	−	9.89992i	0.752562	−	0.483642i	−0.107263	−	0.994231i	$-0.534209\pi$
$419$	15.4046	−	9.89992i	0.752562	−	0.483642i	0.859825	+	0.510588i	$0.170572\pi$
$420$	5.56180	+	5.51234i	0.271388	+	0.268975i
$421$	−1.11885	+	7.78178i	−0.0545295	+	0.379261i	0.944222	+	0.329309i	$0.106816\pi$
$421$	−1.11885	+	7.78178i	−0.0545295	+	0.379261i	−0.998752	+	0.0499517i	$0.984093\pi$
$422$	1.47784	+	5.03305i	0.0719400	+	0.245005i
$423$	−24.3762	+	37.9301i	−1.18521	+	1.84423i
$424$	−0.567409	−	3.94642i	−0.0275558	−	0.191655i
$425$	−25.2154	+	7.64919i	−1.22313	+	0.371040i
$426$	−7.25262	−	15.8810i	−0.351390	−	0.769438i
$427$	4.50318	−	0.647460i	0.217924	−	0.0313328i
$428$	0.0703014	−	0.109391i	0.00339814	−	0.00528762i
$429$	6.75275	−	1.98279i	0.326026	−	0.0957299i
$430$	21.2912	+	4.53213i	1.02675	+	0.218559i
$431$	−14.5740	+	16.8193i	−0.702006	+	0.810158i	−0.989022	−	0.147768i	$-0.952791\pi$
$431$	−14.5740	+	16.8193i	−0.702006	+	0.810158i	0.287016	+	0.957926i	$0.407337\pi$
$432$	−2.13031	−	3.31482i	−0.102494	−	0.159484i
$433$	18.8350	−	16.3206i	0.905152	−	0.784319i	−0.0718794	−	0.997413i	$-0.522900\pi$
$433$	18.8350	−	16.3206i	0.905152	−	0.784319i	0.977032	+	0.213095i	$0.0683542\pi$
$434$	−9.91608	−	2.91162i	−0.475987	−	0.139762i
$435$	−4.94056	+	9.14482i	−0.236882	+	0.438461i
$436$	−5.09221			−0.243873
$437$	3.83366	−	0.978378i	0.183389	−	0.0468022i
$438$			45.6195i			2.17978i
$439$	−0.884648	+	1.93711i	−0.0422219	+	0.0924531i	−0.929568	−	0.368652i	$-0.879820\pi$
$439$	−0.884648	+	1.93711i	−0.0422219	+	0.0924531i	0.887346	+	0.461105i	$0.152547\pi$
$440$	5.25103	+	1.93187i	0.250333	+	0.0920981i
$441$	15.5777	+	17.9776i	0.741794	+	0.856076i
$442$	2.93715	+	4.57030i	0.139706	+	0.217387i
$443$	−9.52095	−	8.24995i	−0.452354	−	0.391967i	0.398669	−	0.917095i	$-0.369472\pi$
$443$	−9.52095	−	8.24995i	−0.452354	−	0.391967i	−0.851023	+	0.525128i	$0.824018\pi$
$444$	−3.62519	+	25.2137i	−0.172044	+	1.19659i
$445$	−3.35003	−	15.0754i	−0.158807	−	0.714643i
$446$	−4.45661	−	2.86409i	−0.211027	−	0.135619i
$447$	−37.8369	+	5.44013i	−1.78963	+	0.257309i
$448$	1.16754	−	0.533197i	0.0551610	−	0.0251912i
$449$	−6.38566	−	13.9826i	−0.301358	−	0.659882i	0.697006	−	0.717066i	$-0.254515\pi$
$449$	−6.38566	−	13.9826i	−0.301358	−	0.659882i	−0.998364	+	0.0571837i	$0.981788\pi$
$450$	22.2201	−	0.198459i	1.04746	−	0.00935547i
$451$	−8.38138	−	5.38639i	−0.394664	−	0.253635i
$452$	4.24319	+	14.4510i	0.199583	+	0.679717i
$453$	−34.6766	−	4.98574i	−1.62925	−	0.234251i
$454$	4.40058	−	5.07854i	0.206530	−	0.238348i
$455$	1.42952	+	2.59040i	0.0670170	+	0.121440i
$456$	1.47404	+	1.70113i	0.0690282	+	0.0796628i
$457$	0.512479	−	1.74534i	0.0239728	−	0.0816438i	−0.946638	−	0.322299i	$-0.895544\pi$
$457$	0.512479	−	1.74534i	0.0239728	−	0.0816438i	0.970611	+	0.240656i	$0.0773624\pi$
$458$	10.2665	+	4.68856i	0.479723	+	0.219082i
$459$	−20.7656			−0.969257
$460$	−7.34217	−	7.81618i	−0.342330	−	0.364431i
$461$	6.04815			0.281690			0.140845	−	0.990032i	$-0.455018\pi$
$461$	6.04815			0.281690			0.140845	+	0.990032i	$0.455018\pi$
$462$	−7.97086	−	3.64017i	−0.370838	−	0.169356i
$463$	−9.21629	+	31.3878i	−0.428317	+	1.45871i	0.409271	+	0.912413i	$0.365783\pi$
$463$	−9.21629	+	31.3878i	−0.428317	+	1.45871i	−0.837589	+	0.546302i	$0.816035\pi$
$464$	1.11568	+	1.28757i	0.0517943	+	0.0597739i
$465$	−43.0088	+	23.7345i	−1.99448	+	1.10066i
$466$	−2.90566	+	3.35331i	−0.134602	+	0.155339i
$467$	30.0199	+	4.31621i	1.38915	+	0.199730i	0.795970	−	0.605336i	$-0.206961\pi$
$467$	30.0199	+	4.31621i	1.38915	+	0.199730i	0.593184	+	0.805067i	$0.297870\pi$
$468$	−1.29073	−	4.39582i	−0.0596640	−	0.203197i
$469$	15.5219	+	9.97534i	0.716736	+	0.460618i
$470$	−22.6203	+	1.71940i	−1.04340	+	0.0793101i
$471$	14.2466	+	31.1956i	0.656447	+	1.43742i
$472$	−7.11114	+	3.24755i	−0.327317	+	0.149481i
$473$	−24.1112	+	3.46667i	−1.10863	+	0.159398i
$474$	16.4162	+	10.5501i	0.754021	+	0.484580i
$475$	−4.07758	+	0.623488i	−0.187092	+	0.0286076i
$476$	0.962649	−	6.69537i	0.0441230	−	0.306882i
$477$	13.3911	+	11.6035i	0.613137	+	0.531286i
$478$	−9.81100	−	15.2662i	−0.448745	−	0.698260i
$479$	−25.7751	−	29.7461i	−1.17769	−	1.35913i	−0.919525	−	0.393033i	$-0.871426\pi$
$479$	−25.7751	−	29.7461i	−1.17769	−	1.35913i	−0.258170	−	0.966099i	$-0.583119\pi$
$480$	2.10650	−	5.72570i	0.0961480	−	0.261341i
$481$	−3.99815	+	8.75473i	−0.182300	+	0.399181i
$482$			18.1818i			0.828160i
$483$	10.5380	+	13.0775i	0.479494	+	0.595047i
$484$	4.73891			0.215405
$485$	−16.8596	+	31.2065i	−0.765554	+	1.41702i
$486$	−18.1009	−	5.31490i	−0.821073	−	0.241089i
$487$	−20.2402	+	17.5383i	−0.917172	+	0.794734i	−0.979107	−	0.203346i	$-0.934818\pi$
$487$	−20.2402	+	17.5383i	−0.917172	+	0.794734i	0.0619349	+	0.998080i	$0.480273\pi$
$488$	−1.91631	−	2.98184i	−0.0867473	−	0.134981i
$489$	17.4701	−	20.1615i	0.790024	−	0.911736i
$490$	−2.49187	+	11.7064i	−0.112571	+	0.528841i
$491$	−12.5811	+	3.69414i	−0.567777	+	0.166714i	−0.553007	−	0.833177i	$-0.686520\pi$
$491$	−12.5811	+	3.69414i	−0.567777	+	0.166714i	−0.0147699	+	0.999891i	$0.504702\pi$
$492$	−5.87329	+	9.13902i	−0.264788	+	0.412019i
$493$	8.88713	−	1.27778i	0.400256	−	0.0575481i
$494$	0.353296	+	0.773611i	0.0158956	+	0.0348064i
$495$	−23.2590	+	8.79366i	−1.04541	+	0.395246i
$496$	1.14589	+	7.96983i	0.0514519	+	0.357856i
$497$	−4.44036	+	6.90934i	−0.199177	+	0.309926i
$498$	3.43061	+	11.6836i	0.153729	+	0.523553i
$499$	−1.11596	+	7.76167i	−0.0499572	+	0.347460i	0.949477	+	0.313836i	$0.101614\pi$
$499$	−1.11596	+	7.76167i	−0.0499572	+	0.347460i	−0.999435	+	0.0336244i	$0.989295\pi$
$500$	6.81943	+	8.85976i	0.304974	+	0.396221i
$501$	41.7356	−	26.8218i	1.86461	−	1.19831i
$502$	6.06108	−	5.25195i	0.270519	−	0.234406i
$503$	4.20705	−	14.3279i	0.187583	−	0.638850i	−0.810970	−	0.585087i	$-0.801060\pi$
$503$	4.20705	−	14.3279i	0.187583	−	0.638850i	0.998554	−	0.0537629i	$-0.0171215\pi$
$504$	−2.36963	+	5.18877i	−0.105552	+	0.231126i
$505$	1.87800	−	28.0154i	0.0835697	−	1.24667i
$506$	10.7307	+	5.37178i	0.477040	+	0.238805i
$507$			32.5698i			1.44647i
$508$	14.1820	+	6.47670i	0.629225	+	0.287357i
$509$	−8.09490	−	2.37688i	−0.358800	−	0.105353i	0.0973641	−	0.995249i	$-0.468959\pi$
$509$	−8.09490	−	2.37688i	−0.358800	−	0.105353i	−0.456164	+	0.889896i	$0.650777\pi$
$510$	−19.3826	−	25.6526i	−0.858277	−	1.13592i
$511$	18.0540	−	11.6026i	0.798663	−	0.513270i
$512$	−0.755750	−	0.654861i	−0.0333997	−	0.0289410i
$513$	−3.21767	−	0.462631i	−0.142064	−	0.0204257i
$514$	−7.47384	+	2.19452i	−0.329657	+	0.0967961i
$515$	−10.6075	−	7.86703i	−0.467424	−	0.346663i
$516$	3.78004	+	26.2907i	0.166407	+	1.15739i
$517$	23.0917	−	10.5456i	1.01557	−	0.463796i
$518$	10.9004	−	4.97805i	0.478937	−	0.218723i
$519$	1.81914	+	12.6524i	0.0798514	+	0.555379i
$520$	1.37314	−	1.85148i	0.0602163	−	0.0811928i
$521$	34.8812	−	10.2420i	1.52817	−	0.448712i	0.593682	−	0.804700i	$-0.297674\pi$
$521$	34.8812	−	10.2420i	1.52817	−	0.448712i	0.934490	+	0.355988i	$0.115856\pi$
$522$	−7.49449	−	1.07754i	−0.328025	−	0.0471628i
$523$	−11.2685	−	9.76418i	−0.492736	−	0.426958i	0.372720	−	0.927944i	$-0.378425\pi$
$523$	−11.2685	−	9.76418i	−0.492736	−	0.426958i	−0.865455	+	0.500986i	$0.832971\pi$
$524$	9.61110	−	6.17668i	0.419863	−	0.269829i
$525$	−9.59777	−	14.6452i	−0.418881	−	0.639167i
$526$	−8.21295	−	2.41154i	−0.358102	−	0.105148i
$527$	38.5985	+	17.6273i	1.68138	+	0.767859i
$528$			6.82706i			0.297110i
$529$	−13.7824	−	18.4132i	−0.599236	−	0.800572i
$530$	−0.596286	+	8.89524i	−0.0259010	+	0.386384i
$531$	14.4327	−	31.6033i	0.626327	−	1.37147i
$532$	0.298328	−	1.01601i	0.0129342	−	0.0440497i
$533$	−3.10204	+	2.68793i	−0.134364	+	0.116427i
$534$	15.8521	−	10.1875i	0.685986	−	0.440857i
$535$	−0.204681	+	0.206517i	−0.00884912	+	0.00892851i
$536$	2.04580	−	14.2289i	0.0883651	−	0.614593i
$537$	6.80444	+	23.1738i	0.293633	+	1.00002i
$538$	6.61162	−	10.2879i	0.285047	−	0.443542i
$539$	−1.90606	−	13.2569i	−0.0820997	−	0.571016i
$540$	3.11591	+	8.24150i	0.134088	+	0.354658i
$541$	−15.8763	−	34.7642i	−0.682575	−	1.49463i	−0.859891	−	0.510477i	$-0.829469\pi$
$541$	−15.8763	−	34.7642i	−0.682575	−	1.49463i	0.177316	−	0.984154i	$-0.443258\pi$
$542$	−30.5074	+	4.38631i	−1.31041	+	0.188408i
$543$	−30.5994	+	47.6136i	−1.31315	+	2.04330i
$544$	−5.05655	+	1.48474i	−0.216798	+	0.0636575i
$545$	11.1370	+	2.37067i	0.477057	+	0.101548i
$546$	−2.36412	+	2.72834i	−0.101175	+	0.116762i
$547$	8.28852	+	12.8972i	0.354392	+	0.551444i	0.971982	−	0.235056i	$-0.0755273\pi$
$547$	8.28852	+	12.8972i	0.354392	+	0.551444i	−0.617590	+	0.786500i	$0.711891\pi$
$548$	5.43939	−	4.71326i	0.232359	−	0.201340i
$549$	15.1144	+	4.43799i	0.645068	+	0.189409i
$550$	−10.5850	−	6.66973i	−0.451345	−	0.284398i
$551$	1.40554			0.0598781
$552$	5.85736	−	11.7008i	0.249306	−	0.498017i
$553$		−	9.18000i		−	0.390374i
$554$	−7.34270	+	16.0783i	−0.311961	+	0.683100i
$555$	19.6667	−	53.4564i	0.834807	−	2.26910i
$556$	6.61804	+	7.63762i	0.280667	+	0.323907i
$557$	4.05660	+	6.31220i	0.171884	+	0.267456i	0.916498	−	0.400038i	$-0.131003\pi$
$557$	4.05660	+	6.31220i	0.171884	+	0.267456i	−0.744615	+	0.667494i	$0.767367\pi$
$558$	−27.0435	−	23.4333i	−1.14484	−	0.992012i
$559$	−1.42821	+	9.93344i	−0.0604070	+	0.420140i
$560$	−2.80172	+	0.622592i	−0.118394	+	0.0263093i
$561$	30.2672	+	19.4516i	1.27788	+	0.821246i
$562$	24.4699	−	3.51824i	1.03220	−	0.148408i
$563$	−8.69523	+	3.97098i	−0.366460	+	0.167357i	−0.590130	−	0.807308i	$-0.700924\pi$
$563$	−8.69523	+	3.97098i	−0.366460	+	0.167357i	0.223670	+	0.974665i	$0.428196\pi$
$564$	−11.4989	−	25.1791i	−0.484191	−	1.06023i
$565$	−2.55252	−	33.5807i	−0.107385	−	1.41275i
$566$	23.9423	+	15.3868i	1.00637	+	0.646755i
$567$	0.933590	+	3.17951i	0.0392071	+	0.133527i
$568$	6.33375	+	0.910655i	0.265758	+	0.0382102i
$569$	−22.0675	+	25.4672i	−0.925117	+	1.06764i	0.0724108	+	0.997375i	$0.476931\pi$
$569$	−22.0675	+	25.4672i	−0.925117	+	1.06764i	−0.997528	+	0.0702675i	$0.977615\pi$
$570$	−2.43186	−	4.40673i	−0.101860	−	0.184578i
$571$	16.9259	+	19.5336i	0.708328	+	0.817454i	0.989852	−	0.142100i	$-0.0453855\pi$
$571$	16.9259	+	19.5336i	0.708328	+	0.817454i	−0.281525	+	0.959554i	$0.590840\pi$
$572$	−0.726721	+	2.47498i	−0.0303857	+	0.103484i
$573$	−40.4750	−	18.4843i	−1.69087	−	0.772194i
$574$	5.11057			0.213311
$575$	12.4190	+	20.5126i	0.517908	+	0.855436i
$576$	4.44419			0.185175
$577$	39.1801	+	17.8929i	1.63109	+	0.744893i	0.999537	−	0.0304413i	$-0.00969128\pi$
$577$	39.1801	+	17.8929i	1.63109	+	0.744893i	0.631551	+	0.775334i	$0.282419\pi$
$578$	−3.03513	+	10.3367i	−0.126245	+	0.429951i
$579$	17.0584	+	19.6864i	0.708922	+	0.818140i
$580$	−1.84065	−	3.33540i	−0.0764289	−	0.138495i
$581$	3.75128	−	4.32921i	0.155629	−	0.179606i
$582$	−42.8388	−	6.15928i	−1.77572	−	0.255311i
$583$	−2.81066	−	9.57222i	−0.116406	−	0.396441i
$584$	−14.0659	−	9.03962i	−0.582052	−	0.374062i
$585$	0.776445	+	10.2149i	0.0321021	+	0.422332i
$586$	−9.34370	−	20.4599i	−0.385985	−	0.845189i
$587$	−36.7829	+	16.7982i	−1.51819	+	0.693335i	−0.987987	−	0.154534i	$-0.950612\pi$
$587$	−36.7829	+	16.7982i	−1.51819	+	0.693335i	−0.530205	+	0.847869i	$0.677885\pi$
$588$	−14.4553	+	2.07836i	−0.596126	+	0.0857099i
$589$	5.58818	+	3.59131i	0.230257	+	0.147977i
$590$	17.0644	−	3.79203i	0.702532	−	0.156115i
$591$	−1.97369	+	13.7273i	−0.0811868	+	0.564667i
$592$	−7.05585	−	6.11393i	−0.289994	−	0.251281i
$593$	−7.43652	−	11.5715i	−0.305381	−	0.475183i	0.654315	−	0.756222i	$-0.272957\pi$
$593$	−7.43652	−	11.5715i	−0.305381	−	0.475183i	−0.959696	+	0.281039i	$0.909321\pi$
$594$	−6.45664	−	7.45137i	−0.264919	−	0.305733i
$595$	−5.22240	+	14.1951i	−0.214098	+	0.581941i
$596$	5.82013	−	12.7443i	0.238402	−	0.522027i
$597$			1.46150i			0.0598152i
$598$	3.36895	−	3.61832i	0.137767	−	0.147964i
$599$	−12.9013			−0.527132			−0.263566	−	0.964641i	$-0.584899\pi$
$599$	−12.9013			−0.527132			−0.263566	+	0.964641i	$0.584899\pi$
$600$	−7.27264	+	11.5418i	−0.296904	+	0.471193i
$601$	14.6759	+	4.30923i	0.598642	+	0.175777i	0.566994	−	0.823722i	$-0.308106\pi$
$601$	14.6759	+	4.30923i	0.598642	+	0.175777i	0.0316482	+	0.999499i	$0.489924\pi$
$602$	9.44324	−	8.18261i	0.384878	−	0.333498i
$603$	34.5394	+	53.7443i	1.40655	+	2.18864i
$604$	8.40852	−	9.70395i	0.342138	−	0.394848i
$605$	−10.3643	−	2.20619i	−0.421370	−	0.0896945i
$606$	32.8728	−	9.65232i	1.33537	−	0.392099i
$607$	16.6331	−	25.8816i	0.675116	−	1.05050i	−0.319571	−	0.947562i	$-0.603539\pi$
$607$	16.6331	−	25.8816i	0.675116	−	1.05050i	0.994688	−	0.102939i	$-0.0328248\pi$
$608$	−0.816598	+	0.117409i	−0.0331174	+	0.00476157i
$609$	2.47850	+	5.42716i	0.100434	+	0.219920i
$610$	2.80291	+	7.41361i	0.113487	+	0.300168i
$611$	−1.48840	−	10.3521i	−0.0602144	−	0.418800i
$612$	12.6623	−	19.7030i	0.511844	−	0.796445i
$613$	−4.97950	−	16.9586i	−0.201120	−	0.684952i	−0.996851	−	0.0793012i	$-0.974731\pi$
$613$	−4.97950	−	16.9586i	−0.201120	−	0.684952i	0.795731	−	0.605651i	$-0.207087\pi$
$614$	4.26404	−	29.6570i	0.172083	−	1.19686i
$615$	17.0999	−	17.2533i	0.689536	−	0.695722i
$616$	2.70183	−	1.73636i	0.108860	−	0.0699599i
$617$	8.31028	−	7.20090i	0.334559	−	0.289897i	−0.471338	−	0.881953i	$-0.656229\pi$
$617$	8.31028	−	7.20090i	0.334559	−	0.289897i	0.805897	+	0.592055i	$0.201683\pi$
$618$	4.53990	−	15.4615i	0.182622	−	0.621952i
$619$	−8.16958	+	17.8889i	−0.328363	+	0.719015i	−0.999756	−	0.0220866i	$-0.992969\pi$
$619$	−8.16958	+	17.8889i	−0.328363	+	0.719015i	0.671393	+	0.741102i	$0.265696\pi$
$620$	1.20421	−	17.9640i	0.0483621	−	0.721453i
$621$	4.67292	+	18.3103i	0.187518	+	0.734767i
$622$			6.40806i			0.256940i
$623$	−8.06347	−	3.68246i	−0.323056	−	0.147535i
$624$	2.69871	+	0.792413i	0.108035	+	0.0317219i
$625$	−10.7899	−	22.5517i	−0.431596	−	0.902067i
$626$	1.82377	−	1.17207i	0.0728926	−	0.0468452i
$627$	4.25660	+	3.68837i	0.169992	+	0.147299i
$628$	−12.4416	−	1.78883i	−0.496474	−	0.0713821i
$629$	−47.2091	+	13.8618i	−1.88235	+	0.552708i
$630$	7.59816	−	10.2450i	0.302718	−	0.408171i
$631$	−1.39279	−	9.68707i	−0.0554461	−	0.385636i	−0.998582	−	0.0532297i	$-0.983048\pi$
$631$	−1.39279	−	9.68707i	−0.0554461	−	0.385636i	0.943136	−	0.332407i	$-0.107861\pi$
$632$	−6.50583	+	2.97111i	−0.258788	+	0.118185i
$633$	13.0186	−	5.94539i	0.517443	−	0.236308i
$634$	1.25397	+	8.72155i	0.0498015	+	0.346377i
$635$	−28.0018	−	20.7674i	−1.11122	−	0.824129i
$636$	−10.4375	+	3.06473i	−0.413874	+	0.121524i
$637$	−5.46164	−	0.785266i	−0.216398	−	0.0311134i
$638$	3.22177	+	2.79168i	0.127551	+	0.110524i
$639$	−23.9234	+	15.3747i	−0.946396	+	0.608212i
$640$	1.34801	+	1.78406i	0.0532846	+	0.0705213i
$641$	15.0604	+	4.42214i	0.594851	+	0.174664i	0.565281	−	0.824899i	$-0.308768\pi$
$641$	15.0604	+	4.42214i	0.594851	+	0.174664i	0.0295706	+	0.999563i	$0.490586\pi$
$642$	−0.322723	−	0.147382i	−0.0127368	−	0.00581672i
$643$		−	23.5890i		−	0.930261i	−0.885242	−	0.465130i	$-0.846007\pi$
$643$		−	23.5890i		−	0.930261i	0.885242	−	0.465130i	$-0.153993\pi$
$644$	−6.12034	+	0.657843i	−0.241175	+	0.0259226i
$645$	3.97242	−	59.2594i	0.156414	−	2.33334i
$646$	−1.80612	+	3.95484i	−0.0710607	+	0.155601i
$647$	−4.90636	+	16.7095i	−0.192889	+	0.656920i	0.805077	+	0.593171i	$0.202124\pi$
$647$	−4.90636	+	16.7095i	−0.192889	+	0.656920i	−0.997966	+	0.0637494i	$0.979694\pi$
$648$	1.95115	−	1.69068i	0.0766485	−	0.0664163i
$649$	−16.4560	+	10.5757i	−0.645956	+	0.415131i
$650$	−3.86511	+	3.41005i	−0.151602	+	0.133753i
$651$	−4.01289	+	27.9102i	−0.157277	+	1.09389i
$652$	2.75470	+	9.38164i	0.107882	+	0.367413i
$653$	15.8004	−	24.5860i	0.618319	−	0.962123i	−0.380976	−	0.924585i	$-0.624412\pi$
$653$	15.8004	−	24.5860i	0.618319	−	0.962123i	0.999295	−	0.0375381i	$-0.0119515\pi$
$654$	1.97727	+	13.7522i	0.0773173	+	0.537753i
$655$	−23.8957	+	9.03438i	−0.933681	+	0.353002i
$656$	−1.65404	−	3.62184i	−0.0645794	−	0.141409i
$657$	73.5514	−	10.5751i	2.86951	−	0.412574i
$658$	−7.04011	+	10.9546i	−0.274452	+	0.427056i
$659$	9.55859	−	2.80665i	0.372350	−	0.109332i	−0.0902033	−	0.995923i	$-0.528752\pi$
$659$	9.55859	−	2.80665i	0.372350	−	0.109332i	0.462553	+	0.886592i	$0.346934\pi$
$660$	3.17833	−	14.9312i	0.123716	−	0.581198i
$661$	−4.29992	+	4.96237i	−0.167248	+	0.193014i	−0.833186	−	0.552993i	$-0.813486\pi$
$661$	−4.29992	+	4.96237i	−0.167248	+	0.193014i	0.665939	+	0.746007i	$0.268031\pi$
$662$	−0.447699	−	0.696634i	−0.0174003	−	0.0270754i
$663$	11.2022	−	9.70679i	0.435059	−	0.376980i
$664$	−4.28220	−	1.25737i	−0.166182	−	0.0487953i
$665$	−1.12547	+	2.08320i	−0.0436437	+	0.0807831i
$666$	41.4920			1.60778
$667$	−3.12657	−	7.54877i	−0.121061	−	0.292290i
$668$			18.1832i			0.703530i
$669$	−6.00439	+	13.1478i	−0.232143	+	0.508323i
$670$	−11.0985	+	30.1670i	−0.428773	+	1.16545i
$671$	−5.80806	−	6.70285i	−0.224218	−	0.258761i
$672$	−1.89332	−	2.94606i	−0.0730363	−	0.113647i
$673$	0.128416	+	0.111273i	0.00495006	+	0.00428925i	0.657332	−	0.753601i	$-0.271685\pi$
$673$	0.128416	+	0.111273i	0.00495006	+	0.00428925i	−0.652382	+	0.757890i	$0.726230\pi$
$674$	1.21547	−	8.45376i	0.0468180	−	0.325627i
$675$	−2.97790	−	19.4753i	−0.114619	−	0.749605i
$676$	−10.0423	−	6.45379i	−0.386242	−	0.248223i
$677$	−22.7942	+	3.27731i	−0.876051	+	0.125957i	−0.565647	−	0.824648i	$-0.691373\pi$
$677$	−22.7942	+	3.27731i	−0.876051	+	0.125957i	−0.310404	+	0.950605i	$0.600464\pi$
$678$	37.3792	−	17.0705i	1.43554	−	0.655589i
$679$	8.45784	+	18.5201i	0.324582	+	0.710735i
$680$	11.7502	−	0.893151i	0.450601	−	0.0342508i
$681$	−15.4240	−	9.91240i	−0.591049	−	0.379844i
$682$	5.67616	+	19.3312i	0.217351	+	0.740230i
$683$	28.6657	+	4.12150i	1.09686	+	0.157705i	0.666904	−	0.745144i	$-0.267619\pi$
$683$	28.6657	+	4.12150i	1.09686	+	0.157705i	0.429958	+	0.902849i	$0.358528\pi$
$684$	2.40100	−	2.77091i	0.0918047	−	0.105948i
$685$	−14.0906	+	7.77591i	−0.538372	+	0.297102i
$686$	10.3827	+	11.9823i	0.396414	+	0.457487i
$687$	8.67568	−	29.5466i	0.330998	−	1.12727i
$688$	−8.85530	−	4.04408i	−0.337605	−	0.154179i
$689$	−4.11009			−0.156582
$690$	−18.2577	+	22.8635i	−0.695059	+	0.870397i
$691$	−31.4009			−1.19454			−0.597272	−	0.802038i	$-0.703749\pi$
$691$	−31.4009			−1.19454			−0.597272	+	0.802038i	$0.703749\pi$
$692$	−4.26160	−	1.94621i	−0.162002	−	0.0739838i
$693$	−4.02124	+	13.6951i	−0.152754	+	0.520234i
$694$	−2.44577	−	2.82257i	−0.0928403	−	0.107143i
$695$	−10.9184	−	19.7850i	−0.414159	−	0.750489i
$696$	3.04404	−	3.51301i	0.115384	−	0.133160i
$697$	−20.7698	−	2.98625i	−0.786713	−	0.113112i
$698$	−1.53363	−	5.22308i	−0.0580489	−	0.197696i
$699$	10.1843	+	6.54505i	0.385206	+	0.247557i
$700$	6.41739	−	0.0573172i	0.242555	−	0.00216639i
$701$	−9.54358	−	20.8975i	−0.360456	−	0.789289i	−0.999793	−	0.0203618i	$-0.993518\pi$
$701$	−9.54358	−	20.8975i	−0.360456	−	0.789289i	0.639337	−	0.768927i	$-0.279209\pi$
$702$	−3.69491	+	1.68741i	−0.139456	+	0.0636872i
$703$	−7.62395	+	1.09616i	−0.287543	+	0.0413424i
$704$	−2.10500	−	1.35280i	−0.0793351	−	0.0509856i
$705$	13.4268	+	60.4216i	0.505682	+	2.27561i
$706$	−2.52599	+	17.5687i	−0.0950670	+	0.661206i
$707$	−12.1806	−	10.5546i	−0.458100	−	0.396946i
$708$	11.5316	+	17.9436i	0.433386	+	0.674361i
$709$	−26.4117	−	30.4807i	−0.991913	−	1.14473i	−0.989471	−	0.144731i	$-0.953768\pi$
$709$	−26.4117	−	30.4807i	−0.991913	−	1.14473i	−0.00244186	−	0.999997i	$-0.500777\pi$
$710$	−13.4284	−	4.94033i	−0.503958	−	0.185407i
$711$	13.2042	−	28.9132i	0.495196	−	1.08433i
$712$			6.90638i			0.258828i
$713$	6.85721	−	38.0013i	0.256805	−	1.42316i
$714$	−18.4555			−0.690681
$715$	2.74161	−	5.07463i	0.102530	−	0.189780i
$716$	−8.49353	−	2.49393i	−0.317418	−	0.0932024i
$717$	−37.4189	+	32.4237i	−1.39743	+	1.21088i
$718$	−9.39543	−	14.6196i	−0.350635	−	0.545598i
$719$	−5.20115	+	6.00245i	−0.193970	+	0.223854i	−0.844401	−	0.535712i	$-0.820043\pi$
$719$	−5.20115	+	6.00245i	−0.193970	+	0.223854i	0.650430	+	0.759566i	$0.274589\pi$
$720$	−9.71974	−	2.06899i	−0.362233	−	0.0771065i
$721$	−7.27358	+	2.13571i	−0.270882	+	0.0795382i
$722$	9.90421	−	15.4112i	0.368596	−	0.573547i
$723$	49.1025	−	7.05987i	1.82614	−	0.262559i
$724$	−8.61743	−	18.8695i	−0.320264	−	0.701281i
$725$	2.47284	+	8.15167i	0.0918389	+	0.302745i
$726$	−1.84008	−	12.7981i	−0.0682919	−	0.474981i
$727$	8.95902	−	13.9405i	0.332272	−	0.517025i	−0.634413	−	0.772994i	$-0.718758\pi$
$727$	8.95902	−	13.9405i	0.332272	−	0.517025i	0.966685	+	0.255969i	$0.0823945\pi$
$728$	−0.372776	−	1.26956i	−0.0138160	−	0.0470530i
$729$	−6.22289	+	43.2812i	−0.230478	+	1.60301i
$730$	26.5547	+	26.3186i	0.982835	+	0.974096i
$731$	−43.1595	+	27.7369i	−1.59631	+	1.02589i
$732$	−7.30876	+	6.33308i	−0.270140	+	0.234077i
$733$	4.19248	−	14.2783i	0.154853	−	0.527380i	−0.845121	−	0.534574i	$-0.820472\pi$
$733$	4.19248	−	14.2783i	0.154853	−	0.527380i	0.999974	+	0.00719467i	$0.00229015\pi$
$734$	10.9896	−	24.0639i	0.405634	−	0.888215i
$735$	32.5823	+	2.18413i	1.20181	+	0.0805628i
$736$	2.44706	+	4.12455i	0.0901999	+	0.152033i
$737$		−	35.9698i		−	1.32496i
$738$	16.0962	+	7.35087i	0.592508	+	0.270589i
$739$	45.9414	+	13.4896i	1.68998	+	0.496223i	0.978459	−	0.206441i	$-0.0661882\pi$
$739$	45.9414	+	13.4896i	1.68998	+	0.496223i	0.711522	+	0.702664i	$0.248006\pi$
$740$	12.5853	+	16.6564i	0.462645	+	0.612302i
$741$	1.95206	−	1.25451i	0.0717106	−	0.0460856i
$742$	3.86750	+	3.35120i	0.141980	+	0.123027i
$743$	6.21778	+	0.893982i	0.228108	+	0.0327970i	0.255421	−	0.966830i	$-0.417786\pi$
$743$	6.21778	+	0.893982i	0.228108	+	0.0327970i	−0.0273127	+	0.999627i	$0.508695\pi$
$744$	21.0787	−	6.18925i	0.772781	−	0.226909i
$745$	−18.6621	+	25.1631i	−0.683727	+	0.921905i
$746$	1.67413	+	11.6439i	0.0612944	+	0.426312i
$747$	18.0420	−	8.23948i	0.660121	−	0.301467i
$748$	−11.9951	+	5.47797i	−0.438583	+	0.200294i
$749$	0.0237526	+	0.165203i	0.000867900	+	0.00603638i
$750$	21.2790	−	21.8570i	0.777000	−	0.798103i
$751$	−13.7749	+	4.04468i	−0.502654	+	0.147593i	−0.523223	−	0.852196i	$-0.675271\pi$
$751$	−13.7749	+	4.04468i	−0.502654	+	0.147593i	0.0205686	+	0.999788i	$0.493452\pi$
$752$	10.0420	+	1.44383i	0.366195	+	0.0526510i
$753$	−16.5371	−	14.3295i	−0.602644	−	0.522194i
$754$	1.47749	−	0.949526i	0.0538070	−	0.0345797i
$755$	−22.9077	+	17.3086i	−0.833696	+	0.629926i
$756$	4.85267	+	1.42487i	0.176490	+	0.0518221i
$757$	−25.9541	−	11.8528i	−0.943318	−	0.430799i	−0.116451	−	0.993196i	$-0.537152\pi$
$757$	−25.9541	−	11.8528i	−0.943318	−	0.430799i	−0.826867	+	0.562398i	$0.809879\pi$
$758$		−	0.526928i		−	0.0191389i
$759$	10.3405	−	31.0656i	0.375338	−	1.12761i
$760$	1.84061	+	0.123384i	0.0667661	+	0.00447562i
$761$	22.6426	−	49.5805i	0.820795	−	1.79729i	0.269446	−	0.963015i	$-0.413159\pi$
$761$	22.6426	−	49.5805i	0.820795	−	1.79729i	0.551349	−	0.834275i	$-0.314113\pi$
$762$	11.9844	−	40.8152i	0.434150	−	1.47858i
$763$	4.93958	−	4.28017i	0.178825	−	0.154953i
$764$	13.7195	−	8.81701i	0.496355	−	0.318988i
$765$	−36.8661	+	37.1968i	−1.33290	+	1.34485i
$766$	−0.437881	+	3.04553i	−0.0158213	+	0.110040i
$767$	2.27047	+	7.73252i	0.0819820	+	0.279205i
$768$	−1.47509	+	2.29528i	−0.0532276	+	0.0828238i
$769$	3.75398	+	26.1095i	0.135372	+	0.941532i	0.938390	+	0.345578i	$0.112317\pi$
$769$	3.75398	+	26.1095i	0.135372	+	0.941532i	−0.803018	+	0.595954i	$0.796774\pi$
$770$	−6.71744	+	2.53970i	−0.242080	+	0.0915245i
$771$	8.82863	+	19.3320i	0.317955	+	0.696225i
$772$	−9.45012	+	1.35872i	−0.340117	+	0.0489015i
$773$	−24.0590	+	37.4366i	−0.865344	+	1.34650i	0.0717496	+	0.997423i	$0.477142\pi$
$773$	−24.0590	+	37.4366i	−0.865344	+	1.34650i	−0.937093	+	0.349079i	$0.886495\pi$
$774$	41.5118	−	12.1890i	1.49211	−	0.438123i
$775$	−10.9968	+	38.7279i	−0.395017	+	1.39115i
$776$	10.3877	−	11.9881i	0.372897	−	0.430347i
$777$	−17.6764	−	27.5051i	−0.634139	−	0.986739i
$778$	−14.8648	+	12.8804i	−0.532929	+	0.461785i
$779$	−3.15179	−	0.925449i	−0.112925	−	0.0331576i
$780$	−5.53335	−	2.98944i	−0.198126	−	0.107039i
$781$	16.0114			0.572932
$782$	25.2580	+	0.902750i	0.903224	+	0.0322823i
$783$			6.71314i			0.239908i
$784$	2.22353	−	4.86885i	0.0794118	−	0.173888i
$785$	26.3778	+	9.70446i	0.941465	+	0.346367i
$786$	−20.4129	−	23.5577i	−0.728102	−	0.840275i
$787$	−15.6663	−	24.3773i	−0.558444	−	0.868956i	0.441150	−	0.897433i	$-0.354571\pi$
$787$	−15.6663	−	24.3773i	−0.558444	−	0.868956i	−0.999594	+	0.0284773i	$0.990934\pi$
$788$	−3.84148	−	3.32866i	−0.136847	−	0.118579i
$789$	−3.32366	+	23.1166i	−0.118325	+	0.822971i
$790$	15.6119	−	3.46925i	0.555446	−	0.123430i
$791$	−16.2625	−	10.4513i	−0.578229	−	0.371605i
$792$	11.0071	−	1.58259i	0.391122	−	0.0562348i
$793$	−3.32375	+	1.51791i	−0.118030	+	0.0539024i
$794$	11.2788	+	24.6972i	0.400270	+	0.876470i
$795$	24.2543	−	1.84360i	0.860212	−	0.0653859i
$796$	−0.450626	−	0.289600i	−0.0159720	−	0.0102646i
$797$	−5.29844	−	18.0448i	−0.187680	−	0.639180i	−0.998544	−	0.0539451i	$-0.982820\pi$
$797$	−5.29844	−	18.0448i	−0.187680	−	0.639180i	0.810864	−	0.585235i	$-0.198998\pi$
$798$	−2.85971	−	0.411165i	−0.101233	−	0.0145551i
$799$	35.0127	−	40.4069i	1.23866	−	1.42949i
$800$	−2.11761	−	4.52943i	−0.0748689	−	0.160139i
$801$	−20.0998	−	23.1964i	−0.710192	−	0.819605i
$802$	−4.72047	+	16.0764i	−0.166685	+	0.567678i
$803$	−38.0568	−	17.3799i	−1.34299	−	0.613325i
$804$	−39.2213			−1.38323
$805$	13.6918	+	1.41057i	0.482574	+	0.0497159i
$806$	8.30038			0.292368
$807$	−30.3510	−	13.8608i	−1.06841	−	0.487925i
$808$	−3.53772	+	12.0484i	−0.124456	+	0.423860i
$809$	7.27377	+	8.39438i	0.255732	+	0.295131i	0.869069	−	0.494691i	$-0.164719\pi$
$809$	7.27377	+	8.39438i	0.255732	+	0.295131i	−0.613337	+	0.789821i	$0.710173\pi$
$810$	−5.05440	+	2.78928i	−0.177593	+	0.0980054i
$811$	13.4440	−	15.5152i	0.472082	−	0.544811i	−0.468908	−	0.883247i	$-0.655352\pi$
$811$	13.4440	−	15.5152i	0.472082	−	0.544811i	0.940990	+	0.338436i	$0.109898\pi$
$812$	−2.16449	−	0.311206i	−0.0759586	−	0.0109212i
$813$	23.6916	+	80.6862i	0.830901	+	2.82979i
$814$	−19.6528	−	12.6301i	−0.688829	−	0.442683i
$815$	−1.65710	−	21.8007i	−0.0580458	−	0.763646i
$816$	5.97315	+	13.0794i	0.209102	+	0.457869i
$817$	−7.30558	+	3.33635i	−0.255590	+	0.116724i
$818$	20.1486	−	2.89692i	0.704478	−	0.101289i
$819$	4.94687	+	3.17916i	0.172858	+	0.111089i
$820$	1.93135	+	8.69125i	0.0674458	+	0.303512i
$821$	−2.38641	+	16.5978i	−0.0832861	+	0.579268i	0.904855	+	0.425720i	$0.139979\pi$
$821$	−2.38641	+	16.5978i	−0.0832861	+	0.579268i	−0.988141	+	0.153548i	$0.950930\pi$
$822$	−14.8408	−	12.8597i	−0.517634	−	0.448532i
$823$	19.1131	+	29.7406i	0.666242	+	1.03669i	0.995710	+	0.0925264i	$0.0294943\pi$
$823$	19.1131	+	29.7406i	0.666242	+	1.03669i	−0.329468	+	0.944167i	$0.606869\pi$
$824$	3.86767	+	4.46353i	0.134737	+	0.155494i
$825$	−13.9024	+	31.1760i	−0.484020	+	1.08541i
$826$	4.16833	−	9.12736i	0.145035	−	0.317581i
$827$		−	6.09069i		−	0.211794i	−0.994377	−	0.105897i	$-0.966229\pi$
$827$		−	6.09069i		−	0.211794i	0.994377	−	0.105897i	$-0.0337714\pi$
$828$	−20.2227	−	6.73135i	−0.702788	−	0.233931i
$829$	−7.89202			−0.274101			−0.137051	−	0.990564i	$-0.543762\pi$
$829$	−7.89202			−0.274101			−0.137051	+	0.990564i	$0.543762\pi$
$830$	8.78010	+	4.74352i	0.304762	+	0.164650i
$831$	46.2726	+	13.5869i	1.60518	+	0.471323i
$832$	−0.779083	+	0.675079i	−0.0270098	+	0.0234041i
$833$	−15.2504	−	23.7301i	−0.528396	−	0.822200i
$834$	18.0567	−	20.8385i	0.625252	−	0.721579i
$835$	8.46518	−	39.7680i	0.292950	−	1.37623i
$836$	−1.98070	+	0.581585i	−0.0685038	+	0.0201145i
$837$	−17.1528	+	26.6902i	−0.592887	+	0.922549i
$838$	18.1251	−	2.60599i	0.626120	−	0.0900224i
$839$	9.96951	+	21.8302i	0.344186	+	0.753661i	0.999999	−	0.00126147i	$-0.000401539\pi$
$839$	9.96951	+	21.8302i	0.344186	+	0.753661i	−0.655814	+	0.754923i	$0.727674\pi$
$840$	2.76928	+	7.32466i	0.0955492	+	0.252725i
$841$	3.71405	+	25.8318i	0.128071	+	0.890751i
$842$	−4.25041	+	6.61377i	−0.146479	+	0.227926i
$843$	−19.0029	−	64.7181i	−0.654496	−	2.22901i
$844$	−0.746517	+	5.19214i	−0.0256962	+	0.178721i
$845$	18.9586	+	18.7901i	0.652197	+	0.646397i
$846$	−37.9301	+	24.3762i	−1.30407	+	0.838072i
$847$	−4.59687	+	3.98321i	−0.157950	+	0.136865i
$848$	1.12327	−	3.82550i	0.0385732	−	0.131368i
$849$	32.2575	−	70.6340i	1.10707	−	2.42415i
$850$	−26.1143	−	3.51692i	−0.895715	−	0.120629i
$851$	22.8463	+	38.5077i	0.783162	+	1.32003i
$852$		−	17.4587i		−	0.598126i
$853$	34.2408	+	15.6372i	1.17238	+	0.535409i	0.903845	−	0.427860i	$-0.140732\pi$
$853$	34.2408	+	15.6372i	1.17238	+	0.535409i	0.268538	+	0.963269i	$0.413460\pi$
$854$	4.36520	+	1.28174i	0.149374	+	0.0438602i
$855$	−6.54115	+	4.94238i	−0.223703	+	0.169026i
$856$	0.109391	−	0.0703014i	0.00373891	−	0.00240285i
$857$	19.9607	+	17.2961i	0.681846	+	0.590823i	0.925367	−	0.379073i	$-0.123757\pi$
$857$	19.9607	+	17.2961i	0.681846	+	0.590823i	−0.243521	+	0.969896i	$0.578303\pi$
$858$	6.96620	+	1.00159i	0.237822	+	0.0341937i
$859$	44.1285	−	12.9573i	1.50564	−	0.442097i	0.578149	−	0.815931i	$-0.303775\pi$
$859$	44.1285	−	12.9573i	1.50564	−	0.442097i	0.927495	+	0.373835i	$0.121957\pi$
$860$	17.4844	+	12.9672i	0.596214	+	0.442179i
$861$	−1.98440	−	13.8018i	−0.0676280	−	0.470363i
$862$	−20.2440	+	9.24512i	−0.689513	+	0.314890i
$863$	46.8946	−	21.4161i	1.59631	−	0.729011i	0.598894	−	0.800829i	$-0.295607\pi$
$863$	46.8946	−	21.4161i	1.59631	−	0.729011i	0.997418	+	0.0718176i	$0.0228800\pi$
$864$	−0.560768	−	3.90023i	−0.0190777	−	0.132688i
$865$	8.41436	+	6.24048i	0.286097	+	0.212183i
$866$	23.9127	−	7.02142i	0.812588	−	0.238597i
$867$	29.0942	+	4.18312i	0.988091	+	0.142066i
$868$	−7.81045	−	6.76779i	−0.265104	−	0.229714i
$869$	−15.0553	+	9.67544i	−0.510716	+	0.328217i
$870$	−8.29299	+	6.26604i	−0.281159	+	0.212439i
$871$	−14.2187	−	4.17499i	−0.481783	−	0.141464i
$872$	−4.63204	−	2.11538i	−0.156861	−	0.0716358i
$873$			70.4959i			2.38593i
$874$	3.89366	+	0.702597i	0.131705	+	0.0237657i
$875$	−14.0619	−	2.86225i	−0.475381	−	0.0967617i
$876$	−18.9510	+	41.4969i	−0.640295	+	1.40205i
$877$	−11.0133	+	37.5079i	−0.371893	+	1.26655i	0.534878	+	0.844929i	$0.320357\pi$
$877$	−11.0133	+	37.5079i	−0.371893	+	1.26655i	−0.906771	+	0.421623i	$0.861461\pi$
$878$	−1.60941	+	1.39456i	−0.0543149	+	0.0470641i
$879$	−51.6265	+	33.1783i	−1.74132	+	1.11908i
$880$	3.97398	+	3.93864i	0.133963	+	0.132772i
$881$	2.30365	−	16.0222i	0.0776118	−	0.539802i	−0.913507	−	0.406823i	$-0.866637\pi$
$881$	2.30365	−	16.0222i	0.0776118	−	0.539802i	0.991119	−	0.132979i	$-0.0424543\pi$
$882$	6.70179	+	22.8242i	0.225661	+	0.768530i
$883$	−13.8276	+	21.5162i	−0.465337	+	0.724079i	−0.992033	−	0.125975i	$-0.959794\pi$
$883$	−13.8276	+	21.5162i	−0.465337	+	0.724079i	0.526696	+	0.850054i	$0.323431\pi$
$884$	0.773158	+	5.37743i	0.0260041	+	0.180863i
$885$	−16.8669	−	44.6124i	−0.566974	−	1.49963i
$886$	−5.23341	−	11.4596i	−0.175820	−	0.384992i
$887$	14.2191	−	2.04440i	0.477432	−	0.0686443i	0.100602	−	0.994927i	$-0.467923\pi$
$887$	14.2191	−	2.04440i	0.477432	−	0.0686443i	0.376830	+	0.926282i	$0.377014\pi$
$888$	−13.7718	+	21.4293i	−0.462150	+	0.719119i
$889$	−19.2008	+	5.63786i	−0.643974	+	0.189088i
$890$	3.21525	−	15.1047i	0.107776	−	0.506311i
$891$	4.23046	−	4.88221i	0.141726	−	0.163560i
$892$	−2.86409	−	4.45661i	−0.0958969	−	0.149218i
$893$	6.32549	−	5.48107i	0.211675	−	0.183417i
$894$	−36.6776	−	10.7695i	−1.22668	−	0.360186i
$895$	17.4149	+	9.40853i	0.582115	+	0.314493i
$896$	1.28353			0.0428797
$897$	−11.0799	−	7.69334i	−0.369947	−	0.256873i
$898$		−	15.3718i		−	0.512962i
$899$	5.69858	−	12.4782i	0.190058	−	0.416170i
$900$	20.2945	+	9.05002i	0.676484	+	0.301667i
$901$	−13.7596	−	15.8795i	−0.458400	−	0.529022i
$902$	−5.38639	−	8.38138i	−0.179347	−	0.279069i
$903$	−25.7650	−	22.3255i	−0.857405	−	0.742945i
$904$	−2.14341	+	14.9078i	−0.0712889	+	0.495825i
$905$	10.0622	+	45.2808i	0.334480	+	1.50519i
$906$	−29.4718	−	18.9404i	−0.979135	−	0.629252i
$907$	−15.0681	+	2.16647i	−0.500328	+	0.0719363i	−0.387859	−	0.921719i	$-0.626785\pi$
$907$	−15.0681	+	2.16647i	−0.500328	+	0.0719363i	−0.112469	+	0.993655i	$0.535876\pi$
$908$	6.11261	−	2.79154i	0.202854	−	0.0926404i
$909$	−23.1825	−	50.7627i	−0.768916	−	1.68369i
$910$	0.224246	+	2.95016i	0.00743367	+	0.0977968i
$911$	−6.32615	−	4.06557i	−0.209595	−	0.134698i	0.431632	−	0.902050i	$-0.357938\pi$
$911$	−6.32615	−	4.06557i	−0.209595	−	0.134698i	−0.641227	+	0.767351i	$0.721574\pi$
$912$	0.634158	+	2.15974i	0.0209991	+	0.0715162i
$913$	−11.0537	−	1.58928i	−0.365823	−	0.0525975i
$914$	1.19121	−	1.37473i	0.0394017	−	0.0454720i
$915$	18.9331	−	10.4483i	0.625909	−	0.345410i
$916$	7.39106	+	8.52973i	0.244207	+	0.281830i
$917$	−4.13132	+	14.0700i	−0.136428	+	0.464632i
$918$	−18.8891	−	8.62636i	−0.623433	−	0.284712i
$919$	17.8360			0.588357			0.294178	−	0.955751i	$-0.404954\pi$
$919$	17.8360			0.588357			0.294178	+	0.955751i	$0.404954\pi$
$920$	−3.43171	−	10.1599i	−0.113140	−	0.334962i
$921$	−81.7484			−2.69370
$922$	5.50159	+	2.51249i	0.181185	+	0.0827445i
$923$	1.85843	−	6.32923i	0.0611710	−	0.208329i
$924$	−5.73837	−	6.62243i	−0.188778	−	0.217862i
$925$	−19.7705	−	42.2878i	−0.650051	−	1.39041i
$926$	−21.4224	+	24.7228i	−0.703983	+	0.812440i
$927$	−25.9806	−	3.73545i	−0.853316	−	0.122688i
$928$	0.479987	+	1.63469i	0.0157563	+	0.0536612i
$929$	−37.6899	−	24.2218i	−1.23656	−	0.794692i	−0.251664	−	0.967815i	$-0.580978\pi$
$929$	−37.6899	−	24.2218i	−1.23656	−	0.794692i	−0.984900	+	0.173123i	$0.944614\pi$
$930$	−48.9818	+	3.72318i	−1.60618	+	0.122088i
$931$	−1.83440	−	4.01678i	−0.0601201	−	0.131645i
$932$	−4.03609	+	1.84322i	−0.132207	+	0.0603767i
$933$	17.3058	−	2.48820i	0.566567	−	0.0814600i
$934$	25.5140	+	16.3969i	0.834844	+	0.536522i
$935$	28.7843	−	6.39639i	0.941347	−	0.209184i
$936$	0.652001	−	4.53477i	0.0213113	−	0.148224i
$937$	6.28760	+	5.44823i	0.205407	+	0.177986i	0.751489	−	0.659746i	$-0.229336\pi$
$937$	6.28760	+	5.44823i	0.205407	+	0.177986i	−0.546082	+	0.837732i	$0.683881\pi$
$938$	9.97534	+	15.5219i	0.325706	+	0.506809i
$939$	−3.87348	−	4.47023i	−0.126406	−	0.145881i
$940$	−21.2904	−	7.83280i	−0.694418	−	0.255478i
$941$	−23.5097	+	51.4791i	−0.766395	+	1.67817i	−0.0319636	+	0.999489i	$0.510176\pi$
$941$	−23.5097	+	51.4791i	−0.766395	+	1.67817i	−0.734432	+	0.678683i	$0.762551\pi$
$942$			34.2948i			1.11738i
$943$	2.04071	+	18.9860i	0.0664545	+	0.618269i
$944$	−7.81760			−0.254441
$945$	−9.94977	−	5.37544i	−0.323666	−	0.174863i
$946$	−23.3724	−	6.86277i	−0.759903	−	0.223128i
$947$	−26.3679	+	22.8480i	−0.856843	+	0.742459i	−0.967895	−	0.251356i	$-0.919124\pi$
$947$	−26.3679	+	22.8480i	−0.856843	+	0.742459i	0.111052	+	0.993815i	$0.464578\pi$
$948$	10.5501	+	16.4162i	0.342650	+	0.533174i
$949$	−11.2875	+	13.0264i	−0.366406	+	0.422855i
$950$	−3.96811	−	1.12675i	−0.128742	−	0.0365564i
$951$	23.0668	−	6.77302i	0.747992	−	0.219630i
$952$	3.65702	−	5.69043i	0.118525	−	0.184428i
$953$	40.3041	−	5.79485i	1.30558	−	0.187714i	0.545810	−	0.837909i	$-0.316222\pi$
$953$	40.3041	−	5.79485i	1.30558	−	0.187714i	0.759767	+	0.650195i	$0.225313\pi$
$954$	7.36073	+	16.1178i	0.238312	+	0.521832i
$955$	−34.1103	+	12.8963i	−1.10378	+	0.417314i
$956$	−2.58258	−	17.9623i	−0.0835267	−	0.580941i
$957$	6.28832	−	9.78482i	0.203273	−	0.316298i
$958$	−11.0889	−	37.7653i	−0.358266	−	1.22014i
$959$	−1.31470	+	9.14397i	−0.0424540	+	0.295274i
$960$	4.29468	−	4.33321i	0.138610	−	0.139854i
$961$	28.4607	−	18.2906i	0.918087	−	0.590019i
$962$	−7.27370	+	6.30269i	−0.234513	+	0.203207i
$963$	−0.162811	+	0.554484i	−0.00524652	+	0.0178680i
$964$	−7.55301	+	16.5388i	−0.243266	+	0.532678i
$965$	21.3006	+	1.42787i	0.685690	+	0.0459648i
$966$	4.15307	+	16.2733i	0.133623	+	0.523586i
$967$		−	12.0094i		−	0.386198i	−0.981179	−	0.193099i	$-0.938146\pi$
$967$		−	12.0094i		−	0.386198i	0.981179	−	0.193099i	$-0.0618538\pi$
$968$	4.31067	+	1.96862i	0.138550	+	0.0632737i
$969$	11.3819	+	3.34202i	0.365639	+	0.107361i
$970$	−28.2997	+	21.3827i	−0.908648	+	0.686558i
$971$	3.70415	−	2.38051i	0.118872	−	0.0763943i	−0.479854	−	0.877348i	$-0.659310\pi$
$971$	3.70415	−	2.38051i	0.118872	−	0.0763943i	0.598726	+	0.800954i	$0.295674\pi$
$972$	−14.2573	−	12.3540i	−0.457302	−	0.396254i
$973$	−12.8393	−	1.84602i	−0.411611	−	0.0591807i
$974$	−25.6968	+	7.54526i	−0.823379	+	0.241766i
$975$	10.7101	+	9.11415i	0.342997	+	0.291886i
$976$	−0.504437	−	3.50844i	−0.0161466	−	0.112302i
$977$	0.751824	−	0.343346i	0.0240530	−	0.0109846i	−0.403352	−	0.915045i	$-0.632155\pi$
$977$	0.751824	−	0.343346i	0.0240530	−	0.0109846i	0.427405	+	0.904060i	$0.359428\pi$
$978$	24.2667	−	11.0822i	0.775965	−	0.354371i
$979$	2.45938	+	17.1054i	0.0786021	+	0.546690i
$980$	−7.12970	+	9.61335i	−0.227750	+	0.307087i
$981$	21.7140	−	6.37582i	0.693276	−	0.203564i
$982$	−12.9788	−	1.86607i	−0.414169	−	0.0595485i
$983$	1.76800	+	1.53198i	0.0563906	+	0.0488627i	0.682600	−	0.730792i	$-0.260849\pi$
$983$	1.76800	+	1.53198i	0.0563906	+	0.0488627i	−0.626210	+	0.779655i	$0.715395\pi$
$984$	−9.13902	+	5.87329i	−0.291341	+	0.187234i
$985$	6.85192	+	9.06840i	0.218320	+	0.288943i
$986$	8.61482	+	2.52954i	0.274352	+	0.0805570i
$987$	32.3180	+	14.7592i	1.02869	+	0.469789i
$988$			0.850466i			0.0270569i
$989$	34.1695	+	31.8146i	1.08653	+	1.01165i
$990$	−24.8101	−	1.66313i	−0.788517	−	0.0528577i
$991$	−15.8541	+	34.7156i	−0.503621	+	1.10278i	0.471654	+	0.881784i	$0.343657\pi$
$991$	−15.8541	+	34.7156i	−0.503621	+	1.10278i	−0.975275	+	0.220993i	$0.929070\pi$
$992$	−2.26845	+	7.72564i	−0.0720234	+	0.245289i
$993$	−1.70751	+	1.47957i	−0.0541863	+	0.0469527i
$994$	−6.90934	+	4.44036i	−0.219151	+	0.140840i
$995$	0.850728	+	0.843163i	0.0269699	+	0.0267301i
$996$	−1.73294	+	12.0529i	−0.0549104	+	0.381910i
$997$	−3.51930	−	11.9856i	−0.111457	−	0.379589i	0.884806	−	0.465960i	$-0.154291\pi$
$997$	−3.51930	−	11.9856i	−0.111457	−	0.379589i	−0.996263	+	0.0863714i	$0.972473\pi$
$998$	−4.23943	+	6.59668i	−0.134197	+	0.208814i
$999$	−5.23546	−	36.4134i	−0.165643	−	1.15207i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.29.12	yes	120
5.4	even	2	inner	230.2.j.a.29.1	✓	120
23.4	even	11	inner	230.2.j.a.119.1	yes	120
115.4	even	22	inner	230.2.j.a.119.12	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.29.1	✓	120	5.4	even	2	inner
230.2.j.a.29.12	yes	120	1.1	even	1	trivial
230.2.j.a.119.1	yes	120	23.4	even	11	inner
230.2.j.a.119.12	yes	120	115.4	even	22	inner

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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.909632 + 0.415415i) q^{2} +(0.768680 - 2.61788i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.08039 - 1.95774i) q^{5} +(1.78672 - 2.06199i) q^{6} +(-1.27046 - 0.182665i) q^{7} +(0.281733 + 0.959493i) q^{8} +(-3.73869 - 2.40271i) q^{9} +O(q^{10})\)	\(q+(0.909632 + 0.415415i) q^{2} +(0.768680 - 2.61788i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.08039 - 1.95774i) q^{5} +(1.78672 - 2.06199i) q^{6} +(-1.27046 - 0.182665i) q^{7} +(0.281733 + 0.959493i) q^{8} +(-3.73869 - 2.40271i) q^{9} +(-0.169478 - 2.22964i) q^{10} +(1.03946 + 2.27610i) q^{11} +(2.48184 - 1.13342i) q^{12} +(1.02038 - 0.146709i) q^{13} +(-1.07977 - 0.693928i) q^{14} +(-5.95562 + 1.32345i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(3.98282 + 3.45113i) q^{17} +(-2.40271 - 3.73869i) q^{18} +(0.540257 + 0.623490i) q^{19} +(0.772062 - 2.09855i) q^{20} +(-1.45478 + 3.18552i) q^{21} +2.50222i q^{22} +(2.14681 - 4.28850i) q^{23} +2.72840 q^{24} +(-2.66553 + 4.23024i) q^{25} +(0.989116 + 0.290431i) q^{26} +(-2.97791 + 2.58037i) q^{27} +(-0.693928 - 1.07977i) q^{28} +(1.11568 - 1.28757i) q^{29} +(-5.96720 - 1.27020i) q^{30} +(7.72564 - 2.26845i) q^{31} +(-0.540641 + 0.841254i) q^{32} +(6.75757 - 0.971592i) q^{33} +(2.18925 + 4.79378i) q^{34} +(1.01498 + 2.68459i) q^{35} +(-0.632474 - 4.39895i) q^{36} +(-5.04755 + 7.85414i) q^{37} +(0.232428 + 0.791577i) q^{38} +(0.400281 - 2.78401i) q^{39} +(1.57406 - 1.58818i) q^{40} +(-3.34958 + 2.15265i) q^{41} +(-2.64662 + 2.29331i) q^{42} +(-2.74268 + 9.34069i) q^{43} +(-1.03946 + 2.27610i) q^{44} +(-0.664663 + 9.91526i) q^{45} +(3.73431 - 3.00914i) q^{46} -10.1453i q^{47} +(2.48184 + 1.13342i) q^{48} +(-5.13574 - 1.50799i) q^{49} +(-4.18196 + 2.74066i) q^{50} +(12.0962 - 7.77374i) q^{51} +(0.779083 + 0.675079i) q^{52} +(-3.94642 - 0.567409i) q^{53} +(-3.78072 + 1.11012i) q^{54} +(3.33300 - 4.49406i) q^{55} +(-0.182665 - 1.27046i) q^{56} +(2.04751 - 0.935066i) q^{57} +(1.54974 - 0.707741i) q^{58} +(1.11256 + 7.73803i) q^{59} +(-4.90030 - 3.63428i) q^{60} +(-3.40094 + 0.998606i) q^{61} +(7.96983 + 1.14589i) q^{62} +(4.31098 + 3.73549i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-1.38962 - 1.83914i) q^{65} +(6.55051 + 1.92340i) q^{66} +(-13.0761 - 5.97166i) q^{67} +5.27002i q^{68} +(-9.57658 - 8.91658i) q^{69} +(-0.191962 + 2.86363i) q^{70} +(2.65819 - 5.82062i) q^{71} +(1.25207 - 4.26417i) q^{72} +(-12.6363 + 10.9494i) q^{73} +(-7.85414 + 5.04755i) q^{74} +(9.02535 + 10.2298i) q^{75} +(-0.117409 + 0.816598i) q^{76} +(-0.904831 - 3.08157i) q^{77} +(1.52063 - 2.36614i) q^{78} +(1.01786 + 7.07936i) q^{79} +(2.09157 - 0.790774i) q^{80} +(-1.07250 - 2.34844i) q^{81} +(-3.94113 + 0.566649i) q^{82} +(-2.41287 + 3.75450i) q^{83} +(-3.36013 + 0.986624i) q^{84} +(2.45345 - 11.5259i) q^{85} +(-6.37509 + 7.35725i) q^{86} +(-2.51310 - 3.91046i) q^{87} +(-1.89105 + 1.63860i) q^{88} +(6.62662 + 1.94575i) q^{89} +(-4.72355 + 8.74313i) q^{90} -1.32316 q^{91} +(4.64689 - 1.18592i) q^{92} -21.9685i q^{93} +(4.21451 - 9.22849i) q^{94} +(0.636947 - 1.73130i) q^{95} +(1.78672 + 2.06199i) q^{96} +(-8.57591 - 13.3444i) q^{97} +(-4.04519 - 3.50518i) q^{98} +(1.58259 - 11.0071i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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