LMFDB - Embedded newform 280.2.br.a.67.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, degree $4$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			67.6
Character	$\chi$	$=$	280.67
Dual form			280.2.br.a.163.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.32319 - 0.499155i) q^{2} +(-0.833838 - 3.11193i) q^{3} +(1.50169 + 1.32096i) q^{4} +(-2.20028 + 0.398453i) q^{5} +(-0.450005 + 4.53390i) q^{6} +(1.42374 + 2.23002i) q^{7} +(-1.32766 - 2.49746i) q^{8} +(-6.39072 + 3.68968i) q^{9} +O(q^{10})$	\(q+(-1.32319 - 0.499155i) q^{2} +(-0.833838 - 3.11193i) q^{3} +(1.50169 + 1.32096i) q^{4} +(-2.20028 + 0.398453i) q^{5} +(-0.450005 + 4.53390i) q^{6} +(1.42374 + 2.23002i) q^{7} +(-1.32766 - 2.49746i) q^{8} +(-6.39072 + 3.68968i) q^{9} +(3.11029 + 0.571051i) q^{10} +(-2.06593 + 3.57830i) q^{11} +(2.85856 - 5.77461i) q^{12} +(-1.73922 - 1.73922i) q^{13} +(-0.770755 - 3.66141i) q^{14} +(3.07463 + 6.51486i) q^{15} +(0.510131 + 3.96734i) q^{16} +(-1.32894 + 0.356087i) q^{17} +(10.2979 - 1.69221i) q^{18} +(1.51201 - 0.872959i) q^{19} +(-3.83047 - 2.30813i) q^{20} +(5.75248 - 6.29003i) q^{21} +(4.51976 - 3.70356i) q^{22} +(-0.994343 + 3.71094i) q^{23} +(-6.66486 + 6.21406i) q^{24} +(4.68247 - 1.75342i) q^{25} +(1.43319 + 3.16947i) q^{26} +(9.97657 + 9.97657i) q^{27} +(-0.807754 + 5.22949i) q^{28} -0.469540 q^{29} +(-0.816408 - 10.1552i) q^{30} +(0.329741 + 0.190376i) q^{31} +(1.30532 - 5.50419i) q^{32} +(12.8580 + 3.44530i) q^{33} +(1.93618 + 0.192173i) q^{34} +(-4.02118 - 4.33937i) q^{35} +(-14.4708 - 2.90113i) q^{36} +(-4.48523 - 1.20181i) q^{37} +(-2.43642 + 0.400367i) q^{38} +(-3.96210 + 6.86256i) q^{39} +(3.91635 + 4.96611i) q^{40} -8.69392 q^{41} +(-10.7514 + 5.45156i) q^{42} +(-5.07158 + 5.07158i) q^{43} +(-7.82917 + 2.64447i) q^{44} +(12.5912 - 10.6647i) q^{45} +(3.16804 - 4.41396i) q^{46} +(-1.06098 - 0.284288i) q^{47} +(11.9207 - 4.89561i) q^{48} +(-2.94595 + 6.34991i) q^{49} +(-7.07105 - 0.0171684i) q^{50} +(2.21623 + 3.83863i) q^{51} +(-0.314326 - 4.90921i) q^{52} +(-0.0174460 + 0.00467464i) q^{53} +(-8.22108 - 18.1808i) q^{54} +(3.11984 - 8.69644i) q^{55} +(3.67914 - 6.51643i) q^{56} +(-3.97735 - 3.97735i) q^{57} +(0.621293 + 0.234373i) q^{58} +(7.49739 + 4.32862i) q^{59} +(-3.98873 + 13.8448i) q^{60} +(-6.35322 + 3.66803i) q^{61} +(-0.341284 - 0.416496i) q^{62} +(-17.3267 - 8.99827i) q^{63} +(-4.47463 + 6.63156i) q^{64} +(4.51978 + 3.13378i) q^{65} +(-15.2940 - 10.9770i) q^{66} +(-9.92654 + 2.65981i) q^{67} +(-2.46602 - 1.22074i) q^{68} +12.3773 q^{69} +(3.15478 + 7.74902i) q^{70} -11.5695i q^{71} +(17.6995 + 11.0619i) q^{72} +(-2.03749 - 7.60400i) q^{73} +(5.33494 + 3.82906i) q^{74} +(-9.36092 - 13.1094i) q^{75} +(3.42371 + 0.686391i) q^{76} +(-10.9210 + 0.487493i) q^{77} +(8.66811 - 7.10280i) q^{78} +(3.90570 + 6.76487i) q^{79} +(-2.70323 - 8.52599i) q^{80} +(11.6585 - 20.1930i) q^{81} +(11.5038 + 4.33962i) q^{82} +(2.47207 - 2.47207i) q^{83} +(16.9473 - 1.84687i) q^{84} +(2.78215 - 1.31301i) q^{85} +(9.24220 - 4.17918i) q^{86} +(0.391520 + 1.46117i) q^{87} +(11.6795 + 0.408820i) q^{88} +(-6.00518 + 3.46709i) q^{89} +(-21.9840 + 7.82655i) q^{90} +(1.40230 - 6.35469i) q^{91} +(-6.39519 + 4.25918i) q^{92} +(0.317485 - 1.18487i) q^{93} +(1.26197 + 0.905760i) q^{94} +(-2.97901 + 2.52322i) q^{95} +(-18.2171 + 0.527562i) q^{96} +(-8.49641 - 8.49641i) q^{97} +(7.06766 - 6.93168i) q^{98} -30.4905i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.32319	−	0.499155i	−0.935640	−	0.352956i
$2$	−1.32319	−	0.499155i	−0.935640	−	0.352956i
$3$	−0.833838	−	3.11193i	−0.481416	−	1.79667i	−0.595682	−	0.803221i	$-0.703118\pi$
$3$	−0.833838	−	3.11193i	−0.481416	−	1.79667i	0.114265	−	0.993450i	$-0.463549\pi$
$4$	1.50169	+	1.32096i	0.750844	+	0.660480i
$5$	−2.20028	+	0.398453i	−0.983995	+	0.178194i
$5$	−2.20028	+	0.398453i	−0.983995	+	0.178194i
$6$	−0.450005	+	4.53390i	−0.183714	+	1.85096i
$7$	1.42374	+	2.23002i	0.538122	+	0.842867i
$7$	1.42374	+	2.23002i	0.538122	+	0.842867i
$8$	−1.32766	−	2.49746i	−0.469399	−	0.882986i
$9$	−6.39072	+	3.68968i	−2.13024	+	1.22989i
$10$	3.11029	+	0.571051i	0.983560	+	0.180582i
$11$	−2.06593	+	3.57830i	−0.622902	+	1.07890i	0.366041	+	0.930599i	$0.380713\pi$
$11$	−2.06593	+	3.57830i	−0.622902	+	1.07890i	−0.988943	+	0.148299i	$0.952620\pi$
$12$	2.85856	−	5.77461i	0.825196	−	1.66699i
$13$	−1.73922	−	1.73922i	−0.482373	−	0.482373i	0.423515	−	0.905889i	$-0.360796\pi$
$13$	−1.73922	−	1.73922i	−0.482373	−	0.482373i	−0.905889	+	0.423515i	$0.860796\pi$
$14$	−0.770755	−	3.66141i	−0.205993	−	0.978553i
$15$	3.07463	+	6.51486i	0.793867	+	1.68213i
$16$	0.510131	+	3.96734i	0.127533	+	0.991834i
$17$	−1.32894	+	0.356087i	−0.322314	+	0.0863638i	−0.416348	−	0.909205i	$-0.636690\pi$
$17$	−1.32894	+	0.356087i	−0.322314	+	0.0863638i	0.0940342	+	0.995569i	$0.470024\pi$
$18$	10.2979	−	1.69221i	2.42723	−	0.398857i
$19$	1.51201	−	0.872959i	0.346879	−	0.200270i	−0.316431	−	0.948616i	$-0.602485\pi$
$19$	1.51201	−	0.872959i	0.346879	−	0.200270i	0.663310	+	0.748345i	$0.269151\pi$
$20$	−3.83047	−	2.30813i	−0.856520	−	0.516114i
$21$	5.75248	−	6.29003i	1.25529	−	1.37260i
$22$	4.51976	−	3.70356i	0.963615	−	0.789602i
$23$	−0.994343	+	3.71094i	−0.207335	+	0.773784i	0.781390	+	0.624043i	$0.214511\pi$
$23$	−0.994343	+	3.71094i	−0.207335	+	0.773784i	−0.988725	+	0.149742i	$0.952156\pi$
$24$	−6.66486	+	6.21406i	−1.36046	+	1.26844i
$25$	4.68247	−	1.75342i	0.936494	−	0.350683i
$26$	1.43319	+	3.16947i	0.281071	+	0.621584i
$27$	9.97657	+	9.97657i	1.91999	+	1.91999i
$28$	−0.807754	+	5.22949i	−0.152651	+	0.988280i
$29$	−0.469540			−0.0871914			−0.0435957	−	0.999049i	$-0.513881\pi$
$29$	−0.469540			−0.0871914			−0.0435957	+	0.999049i	$0.513881\pi$
$30$	−0.816408	−	10.1552i	−0.149055	−	1.85407i
$31$	0.329741	+	0.190376i	0.0592232	+	0.0341925i	0.529319	−	0.848423i	$-0.322447\pi$
$31$	0.329741	+	0.190376i	0.0592232	+	0.0341925i	−0.470096	+	0.882615i	$0.655781\pi$
$32$	1.30532	−	5.50419i	0.230749	−	0.973013i
$33$	12.8580	+	3.44530i	2.23830	+	0.599750i
$34$	1.93618	+	0.192173i	0.332053	+	0.0329574i
$35$	−4.02118	−	4.33937i	−0.679703	−	0.733487i
$36$	−14.4708	−	2.90113i	−2.41180	−	0.483521i
$37$	−4.48523	−	1.20181i	−0.737367	−	0.197577i	−0.129459	−	0.991585i	$-0.541324\pi$
$37$	−4.48523	−	1.20181i	−0.737367	−	0.197577i	−0.607908	+	0.794008i	$0.707991\pi$
$38$	−2.43642	+	0.400367i	−0.395240	+	0.0649481i
$39$	−3.96210	+	6.86256i	−0.634444	+	1.09889i
$40$	3.91635	+	4.96611i	0.619229	+	0.785211i
$41$	−8.69392			−1.35776			−0.678881	−	0.734248i	$-0.737535\pi$
$41$	−8.69392			−1.35776			−0.678881	+	0.734248i	$0.737535\pi$
$42$	−10.7514	+	5.45156i	−1.65897	+	0.841193i
$43$	−5.07158	+	5.07158i	−0.773409	+	0.773409i	−0.978701	−	0.205292i	$-0.934186\pi$
$43$	−5.07158	+	5.07158i	−0.773409	+	0.773409i	0.205292	+	0.978701i	$0.434186\pi$
$44$	−7.82917	+	2.64447i	−1.18029	+	0.398669i
$45$	12.5912	−	10.6647i	1.87699	−	1.58980i
$46$	3.16804	−	4.41396i	0.467103	−	0.650803i
$47$	−1.06098	−	0.284288i	−0.154759	−	0.0414676i	0.180608	−	0.983555i	$-0.442194\pi$
$47$	−1.06098	−	0.284288i	−0.154759	−	0.0414676i	−0.335367	+	0.942088i	$0.608860\pi$
$48$	11.9207	−	4.89561i	1.72060	−	0.706620i
$49$	−2.94595	+	6.34991i	−0.420850	+	0.907130i
$50$	−7.07105	−	0.0171684i	−0.999997	−	0.00242798i
$51$	2.21623	+	3.83863i	0.310335	+	0.537516i
$52$	−0.314326	−	4.90921i	−0.0435892	−	0.680785i
$53$	−0.0174460	+	0.00467464i	−0.00239639	+	0.000642111i	−0.260017	−	0.965604i	$-0.583728\pi$
$53$	−0.0174460	+	0.00467464i	−0.00239639	+	0.000642111i	0.257621	+	0.966246i	$0.417062\pi$
$54$	−8.22108	−	18.1808i	−1.11875	−	2.47409i
$55$	3.11984	−	8.69644i	0.420680	−	1.17263i
$56$	3.67914	−	6.51643i	0.491646	−	0.870795i
$57$	−3.97735	−	3.97735i	−0.526813	−	0.526813i
$58$	0.621293	+	0.234373i	0.0815797	+	0.0307747i
$59$	7.49739	+	4.32862i	0.976077	+	0.563538i	0.901083	−	0.433646i	$-0.142773\pi$
$59$	7.49739	+	4.32862i	0.976077	+	0.563538i	0.0749933	+	0.997184i	$0.476106\pi$
$60$	−3.98873	+	13.8448i	−0.514943	+	1.78735i
$61$	−6.35322	+	3.66803i	−0.813446	+	0.469643i	−0.848151	−	0.529754i	$-0.822284\pi$
$61$	−6.35322	+	3.66803i	−0.813446	+	0.469643i	0.0347051	+	0.999398i	$0.488951\pi$
$62$	−0.341284	−	0.416496i	−0.0433431	−	0.0528951i
$63$	−17.3267	−	8.99827i	−2.18297	−	1.13368i
$64$	−4.47463	+	6.63156i	−0.559329	+	0.828946i
$65$	4.51978	+	3.13378i	0.560609	+	0.388697i
$66$	−15.2940	−	10.9770i	−1.88256	−	1.35117i
$67$	−9.92654	+	2.65981i	−1.21272	+	0.324947i	−0.807829	−	0.589417i	$-0.799357\pi$
$67$	−9.92654	+	2.65981i	−1.21272	+	0.324947i	−0.404892	+	0.914365i	$0.632691\pi$
$68$	−2.46602	−	1.22074i	−0.299049	−	0.148036i
$69$	12.3773			1.49005
$70$	3.15478	+	7.74902i	0.377068	+	0.926185i
$71$		−	11.5695i		−	1.37305i	−0.727106	−	0.686525i	$-0.759135\pi$
$71$		−	11.5695i		−	1.37305i	0.727106	−	0.686525i	$-0.240865\pi$
$72$	17.6995	+	11.0619i	2.08591	+	1.30366i
$73$	−2.03749	−	7.60400i	−0.238470	−	0.889981i	−0.976554	−	0.215273i	$-0.930936\pi$
$73$	−2.03749	−	7.60400i	−0.238470	−	0.889981i	0.738084	−	0.674708i	$-0.235731\pi$
$74$	5.33494	+	3.82906i	0.620174	+	0.445119i
$75$	−9.36092	−	13.1094i	−1.08091	−	1.51375i
$76$	3.42371	+	0.686391i	0.392726	+	0.0787345i
$77$	−10.9210	+	0.487493i	−1.24456	+	0.0555549i
$78$	8.66811	−	7.10280i	0.981470	−	0.804233i
$79$	3.90570	+	6.76487i	0.439425	+	0.761107i	0.997645	−	0.0685861i	$-0.0218488\pi$
$79$	3.90570	+	6.76487i	0.439425	+	0.761107i	−0.558220	+	0.829693i	$0.688515\pi$
$80$	−2.70323	−	8.52599i	−0.302230	−	0.953235i
$81$	11.6585	−	20.1930i	1.29538	−	2.24367i
$82$	11.5038	+	4.33962i	1.27038	+	0.479231i
$83$	2.47207	−	2.47207i	0.271345	−	0.271345i	−0.558297	−	0.829641i	$-0.688545\pi$
$83$	2.47207	−	2.47207i	0.271345	−	0.271345i	0.829641	+	0.558297i	$0.188545\pi$
$84$	16.9473	−	1.84687i	1.84910	−	0.201510i
$85$	2.78215	−	1.31301i	0.301766	−	0.142416i
$86$	9.24220	−	4.17918i	0.996612	−	0.450653i
$87$	0.391520	+	1.46117i	0.0419754	+	0.156654i
$88$	11.6795	+	0.408820i	1.24504	+	0.0435804i
$89$	−6.00518	+	3.46709i	−0.636548	+	0.367511i	−0.783283	−	0.621665i	$-0.786457\pi$
$89$	−6.00518	+	3.46709i	−0.636548	+	0.367511i	0.146736	+	0.989176i	$0.453123\pi$
$90$	−21.9840	+	7.82655i	−2.31731	+	0.824991i
$91$	1.40230	−	6.35469i	0.147001	−	0.666152i
$92$	−6.39519	+	4.25918i	−0.666745	+	0.444051i
$93$	0.317485	−	1.18487i	0.0329217	−	0.122865i
$94$	1.26197	+	0.905760i	0.130163	+	0.0934220i
$95$	−2.97901	+	2.52322i	−0.305640	+	0.258877i
$96$	−18.2171	+	0.527562i	−1.85927	+	0.0538441i
$97$	−8.49641	−	8.49641i	−0.862680	−	0.862680i	0.128968	−	0.991649i	$-0.458833\pi$
$97$	−8.49641	−	8.49641i	−0.862680	−	0.862680i	−0.991649	+	0.128968i	$0.958833\pi$
$98$	7.06766	−	6.93168i	0.713941	−	0.700206i
$99$		−	30.4905i		−	3.06441i
$100$	9.34780	+	3.55227i	0.934780	+	0.355227i
$101$	13.7392	+	7.93231i	1.36710	+	0.789294i	0.990556	−	0.137105i	$-0.0437799\pi$
$101$	13.7392	+	7.93231i	1.36710	+	0.789294i	0.376542	+	0.926400i	$0.377113\pi$
$102$	−1.01644	−	6.18550i	−0.100642	−	0.612456i
$103$	−2.18968	+	8.17200i	−0.215756	+	0.805211i	0.770143	+	0.637871i	$0.220185\pi$
$103$	−2.18968	+	8.17200i	−0.215756	+	0.805211i	−0.985899	+	0.167341i	$0.946482\pi$
$104$	−2.03454	+	6.65274i	−0.199504	+	0.652355i
$105$	−10.1508	+	16.1319i	−0.990615	+	1.57432i
$106$	0.0254178	+	0.00252280i	0.00246880	+	0.000245036i
$107$	−1.75173	+	6.53753i	−0.169346	+	0.632007i	0.828100	+	0.560580i	$0.189422\pi$
$107$	−1.75173	+	6.53753i	−0.169346	+	0.632007i	−0.997446	+	0.0714266i	$0.977245\pi$
$108$	1.80305	+	28.1603i	0.173498	+	2.70973i
$109$	−3.04672	+	5.27707i	−0.291823	+	0.505452i	−0.974241	−	0.225510i	$-0.927595\pi$
$109$	−3.04672	+	5.27707i	−0.291823	+	0.505452i	0.682418	+	0.730962i	$0.260928\pi$
$110$	−8.46904	+	9.94979i	−0.807491	+	0.948675i
$111$			14.9598i			1.41992i
$112$	−8.12094	+	6.78604i	−0.767356	+	0.641221i
$113$	−0.695322	+	0.695322i	−0.0654104	+	0.0654104i	−0.739055	−	0.673645i	$-0.764728\pi$
$113$	−0.695322	+	0.695322i	−0.0654104	+	0.0654104i	0.673645	+	0.739055i	$0.264728\pi$
$114$	3.27749	+	7.24813i	0.306965	+	0.678849i
$115$	0.709199	−	8.56130i	0.0661331	−	0.798346i
$116$	−0.705102	−	0.620243i	−0.0654671	−	0.0575882i
$117$	17.5320	+	4.69770i	1.62084	+	0.434302i
$118$	−7.75985	−	9.46997i	−0.714352	−	0.871781i
$119$	−2.68613	−	2.45657i	−0.246238	−	0.225194i
$120$	12.1886	−	16.3283i	1.11266	−	1.49056i
$121$	−3.03614	−	5.25876i	−0.276013	−	0.478069i
$122$	10.2375	−	1.68228i	0.926856	−	0.152306i
$123$	7.24932	+	27.0548i	0.653649	+	2.43945i
$124$	0.243689	+	0.721459i	0.0218839	+	0.0647889i
$125$	−9.60409	+	5.72376i	−0.859016	+	0.511948i
$126$	18.4351	+	20.5552i	1.64233	+	1.83120i
$127$	−5.58288	+	5.58288i	−0.495401	+	0.495401i	−0.910003	−	0.414602i	$-0.863921\pi$
$127$	−5.58288	+	5.58288i	−0.495401	+	0.495401i	0.414602	+	0.910003i	$0.363921\pi$
$128$	9.23099	−	6.54131i	0.815912	−	0.578176i
$129$	20.0113	+	11.5535i	1.76189	+	1.01723i
$130$	−4.41630	−	6.40267i	−0.387335	−	0.561551i
$131$	−4.84611	−	8.39371i	−0.423407	−	0.733362i	0.572863	−	0.819651i	$-0.305833\pi$
$131$	−4.84611	−	8.39371i	−0.423407	−	0.733362i	−0.996270	+	0.0862889i	$0.972499\pi$
$132$	14.7577	+	22.1587i	1.28449	+	1.92867i
$133$	4.09941	+	2.12894i	0.355464	+	0.184603i
$134$	14.4624	+	1.43544i	1.24936	+	0.124003i
$135$	−25.9265	−	17.9761i	−2.23139	−	1.54713i
$136$	2.65369	+	2.84620i	0.227552	+	0.244060i
$137$	−3.30618	+	0.885888i	−0.282466	+	0.0756865i	−0.397270	−	0.917702i	$-0.630043\pi$
$137$	−3.30618	+	0.885888i	−0.282466	+	0.0756865i	0.114804	+	0.993388i	$0.463376\pi$
$138$	−16.3776	−	6.17819i	−1.39415	−	0.525922i
$139$			0.928862i			0.0787850i	0.999224	+	0.0393925i	$0.0125423\pi$
$139$			0.928862i			0.0787850i	−0.999224	+	0.0393925i	$0.987458\pi$
$140$	−0.306419	−	11.8282i	−0.0258971	−	0.999665i
$141$			3.53873i			0.298015i
$142$	−5.77499	+	15.3087i	−0.484627	+	1.28468i
$143$	9.81657	−	2.63034i	0.820903	−	0.219960i
$144$	−17.8983	−	23.4719i	−1.49153	−	1.95599i
$145$	1.03312	−	0.187090i	0.0857959	−	0.0155370i
$146$	−1.09959	+	11.0786i	−0.0910026	+	0.916871i
$147$	22.2169	+	3.87277i	1.83242	+	0.319421i
$148$	−5.14787	−	7.72955i	−0.423152	−	0.635365i
$149$	−10.8117	−	18.7265i	−0.885732	−	1.53413i	−0.844872	−	0.534968i	$-0.820324\pi$
$149$	−10.8117	−	18.7265i	−0.885732	−	1.53413i	−0.0408597	−	0.999165i	$-0.513010\pi$
$150$	5.84268	+	22.0189i	0.477053	+	1.79783i
$151$	14.1335	+	8.15996i	1.15016	+	0.664048i	0.948927	−	0.315495i	$-0.102170\pi$
$151$	14.1335	+	8.15996i	1.15016	+	0.664048i	0.201237	+	0.979543i	$0.435504\pi$
$152$	−4.18762	−	2.61719i	−0.339660	−	0.212282i
$153$	7.17900	−	7.17900i	0.580388	−	0.580388i
$154$	14.6939	+	4.80623i	1.18407	+	0.387297i
$155$	−0.801378	−	0.287494i	−0.0643682	−	0.0230921i
$156$	−15.0150	+	5.07164i	−1.20216	+	0.406057i
$157$	−4.52231	−	16.8775i	−0.360919	−	1.34697i	−0.872869	−	0.487954i	$-0.837743\pi$
$157$	−4.52231	−	16.8775i	−0.360919	−	1.34697i	0.511950	−	0.859015i	$-0.328923\pi$
$158$	−1.79128	−	10.9008i	−0.142506	−	0.867220i
$159$	0.0290942	+	0.0503927i	0.00230732	+	0.00399640i
$160$	−0.678897	+	12.6309i	−0.0536715	+	0.998559i
$161$	−9.69114	+	3.06600i	−0.763769	+	0.241634i
$162$	−25.5059	+	20.8999i	−2.00393	+	1.64205i
$163$	2.16654	+	0.580523i	0.169697	+	0.0454701i	0.342667	−	0.939457i	$-0.388670\pi$
$163$	2.16654	+	0.580523i	0.169697	+	0.0454701i	−0.172970	+	0.984927i	$0.555336\pi$
$164$	−13.0556	−	11.4843i	−1.01947	−	0.896775i
$165$	−29.6641	−	2.45731i	−2.30935	−	0.191301i
$166$	−4.50497	+	2.03708i	−0.349654	+	0.158108i
$167$	11.1022	−	11.1022i	0.859117	−	0.859117i	−0.132117	−	0.991234i	$-0.542178\pi$
$167$	11.1022	−	11.1022i	0.859117	−	0.859117i	0.991234	+	0.132117i	$0.0421776\pi$
$168$	−23.3465	−	6.01557i	−1.80122	−	0.464111i
$169$		−	6.95021i		−	0.534632i
$170$	−4.33672	+	0.348644i	−0.332611	+	0.0267398i
$171$	−6.44188	+	11.1577i	−0.492623	+	0.853248i
$172$	−14.3153	+	0.916577i	−1.09153	+	0.0698883i
$173$	−0.662062	+	2.47085i	−0.0503356	+	0.187855i	−0.986516	−	0.163665i	$-0.947668\pi$
$173$	−0.662062	+	2.47085i	−0.0503356	+	0.187855i	0.936180	+	0.351520i	$0.114335\pi$
$174$	0.211295	−	2.12885i	0.0160183	−	0.161387i
$175$	10.5768	+	7.94558i	0.799527	+	0.600630i
$176$	−15.2502	−	6.37084i	−1.14953	−	0.480220i
$177$	7.21873	−	26.9407i	0.542593	−	2.02498i
$178$	9.67664	−	1.59012i	0.725295	−	0.119184i
$179$	6.42541	+	3.70971i	0.480258	+	0.277277i	0.720524	−	0.693430i	$-0.243901\pi$
$179$	6.42541	+	3.70971i	0.480258	+	0.277277i	−0.240266	+	0.970707i	$0.577235\pi$
$180$	32.9957	+	0.617370i	2.45936	+	0.0460161i
$181$			1.77438i			0.131889i	0.997823	+	0.0659444i	$0.0210060\pi$
$181$			1.77438i			0.131889i	−0.997823	+	0.0659444i	$0.978994\pi$
$182$	−5.02749	+	7.70852i	−0.372663	+	0.571394i
$183$	16.7122	+	16.7122i	1.23540	+	1.23540i
$184$	10.5881	−	2.44353i	0.780563	−	0.180140i
$185$	10.3476	+	0.857173i	0.760773	+	0.0630206i
$186$	−1.01153	+	1.40934i	−0.0741689	+	0.103338i
$187$	1.47130	−	5.49098i	0.107592	−	0.401540i
$188$	−1.21772	−	1.82842i	−0.0888115	−	0.133351i
$189$	−8.04391	+	36.4519i	−0.585108	+	2.65149i
$190$	5.20129	−	1.85172i	0.377341	−	0.134338i
$191$	23.4942	−	13.5644i	1.69998	−	0.981484i	0.754219	−	0.656623i	$-0.228016\pi$
$191$	23.4942	−	13.5644i	1.69998	−	0.981484i	0.945762	−	0.324862i	$-0.105318\pi$
$192$	24.3681	+	8.39508i	1.75861	+	0.605863i
$193$	−4.58689	−	17.1185i	−0.330171	−	1.23222i	−0.909010	−	0.416774i	$-0.863160\pi$
$193$	−4.58689	−	17.1185i	−0.330171	−	1.23222i	0.578838	−	0.815442i	$-0.303506\pi$
$194$	7.00138	+	15.4834i	0.502670	+	1.11165i
$195$	5.98332	−	16.6783i	0.428475	−	1.19436i
$196$	−12.8119	+	5.64411i	−0.915134	+	0.403150i
$197$	−7.20296	+	7.20296i	−0.513190	+	0.513190i	−0.915502	−	0.402313i	$-0.868207\pi$
$197$	−7.20296	+	7.20296i	−0.513190	+	0.513190i	0.402313	+	0.915502i	$0.368207\pi$
$198$	−15.2195	+	40.3449i	−1.08160	+	2.86719i
$199$	5.72294	−	9.91243i	0.405689	−	0.702674i	−0.588713	−	0.808342i	$-0.700365\pi$
$199$	5.72294	−	9.91243i	0.405689	−	0.702674i	0.994401	+	0.105669i	$0.0336984\pi$
$200$	−10.5958	−	9.36635i	−0.749238	−	0.662301i
$201$	16.5543	+	28.6728i	1.16765	+	2.02242i
$202$	−14.2201	−	17.3540i	−1.00052	−	1.22102i
$203$	−0.668501	−	1.04708i	−0.0469196	−	0.0734908i
$204$	−1.74258	+	8.69198i	−0.122005	+	0.608560i
$205$	19.1291	−	3.46412i	1.33603	−	0.241945i
$206$	6.97648	−	9.72016i	0.486074	−	0.677236i
$207$	−7.33762	−	27.3844i	−0.510000	−	1.90334i
$208$	6.01285	−	7.78731i	0.416916	−	0.539953i
$209$			7.21389i			0.498995i
$210$	21.4838	−	16.2789i	1.48252	−	1.12335i
$211$	12.4039			0.853920			0.426960	−	0.904271i	$-0.359585\pi$
$211$	12.4039			0.853920			0.426960	+	0.904271i	$0.359585\pi$
$212$	−0.0323734	−	0.0160256i	−0.00222342	−	0.00110064i
$213$	−36.0035	+	9.64711i	−2.46692	+	0.661009i
$214$	5.58112	−	7.77604i	0.381517	−	0.531559i
$215$	9.13812	−	13.1797i	0.623215	−	0.898848i
$216$	11.6706	−	38.1616i	0.794084	−	2.59657i
$217$	0.0449225	+	1.00637i	0.00304954	+	0.0683170i
$218$	6.66548	−	5.46181i	0.451443	−	0.369920i
$219$	−21.9641	+	12.6810i	−1.48420	+	0.856903i
$220$	16.1727	−	8.93814i	1.09036	−	0.602609i
$221$	2.93063	+	1.69200i	0.197135	+	0.113816i
$222$	7.46727	−	19.7947i	0.501171	−	1.32854i
$223$	12.0781	+	12.0781i	0.808808	+	0.808808i	0.984453	−	0.175646i	$-0.0562013\pi$
$223$	12.0781	+	12.0781i	0.808808	+	0.808808i	−0.175646	+	0.984453i	$0.556201\pi$
$224$	14.1329	−	4.92565i	0.944292	−	0.329109i
$225$	−23.4548	+	28.4824i	−1.56365	+	1.89883i
$226$	1.26712	−	0.572972i	0.0842875	−	0.0381136i
$227$	−8.11589	+	2.17465i	−0.538670	+	0.144336i	−0.517889	−	0.855448i	$-0.673282\pi$
$227$	−8.11589	+	2.17465i	−0.538670	+	0.144336i	−0.0207812	+	0.999784i	$0.506615\pi$
$228$	−0.718819	−	11.2267i	−0.0476049	−	0.743504i
$229$	−4.76938	−	8.26082i	−0.315170	−	0.545890i	0.664304	−	0.747463i	$-0.268728\pi$
$229$	−4.76938	−	8.26082i	−0.315170	−	0.545890i	−0.979474	+	0.201573i	$0.935395\pi$
$230$	−5.21183	+	10.9743i	−0.343658	+	0.723622i
$231$	10.6234	+	33.5789i	0.698968	+	2.20933i
$232$	0.623390	+	1.17266i	0.0409275	+	0.0769888i
$233$	16.9532	+	4.54259i	1.11064	+	0.297595i	0.767090	−	0.641539i	$-0.221704\pi$
$233$	16.9532	+	4.54259i	1.11064	+	0.297595i	0.343550	+	0.939134i	$0.388371\pi$
$234$	−20.8534	−	14.9672i	−1.36323	−	0.978436i
$235$	2.44772	+	0.202764i	0.159672	+	0.0132268i
$236$	5.54080	+	16.4040i	0.360676	+	1.06781i
$237$	17.7950	−	17.7950i	1.15591	−	1.15591i
$238$	2.32807	+	4.59132i	0.150906	+	0.297611i
$239$	−9.11111			−0.589348			−0.294674	−	0.955598i	$-0.595211\pi$
$239$	−9.11111			−0.589348			−0.294674	+	0.955598i	$0.595211\pi$
$240$	−24.2782	+	15.5215i	−1.56715	+	1.00191i
$241$	6.80848	−	11.7926i	0.438573	−	0.759630i	−0.559007	−	0.829163i	$-0.688818\pi$
$241$	6.80848	−	11.7926i	0.438573	−	0.759630i	0.997580	+	0.0695329i	$0.0221509\pi$
$242$	1.39247	+	8.47386i	0.0895115	+	0.544721i
$243$	−31.6757	−	8.48749i	−2.03200	−	0.544473i
$244$	−14.3859	−	2.88411i	−0.920961	−	0.184636i
$245$	3.95177	−	15.1454i	0.252469	−	0.967605i
$246$	3.91231	−	39.4174i	0.249440	−	2.51316i
$247$	−4.14799	−	1.11145i	−0.263930	−	0.0707199i
$248$	0.0376728	−	1.07627i	0.00239223	−	0.0683432i
$249$	−9.75419	−	5.63158i	−0.618147	−	0.356887i
$250$	15.5651	−	2.77971i	0.984425	−	0.175804i
$251$	−14.6446			−0.924358			−0.462179	−	0.886787i	$-0.652932\pi$
$251$	−14.6446			−0.924358			−0.462179	+	0.886787i	$0.652932\pi$
$252$	−14.1330	−	36.4005i	−0.890296	−	2.29302i
$253$	−11.2246	−	11.2246i	−0.705684	−	0.705684i
$254$	10.1740	−	4.60051i	0.638371	−	0.288662i
$255$	−6.40585	−	7.56300i	−0.401150	−	0.473613i
$256$	−15.4795	+	4.04773i	−0.967471	+	0.252983i
$257$	−1.71046	+	6.38353i	−0.106696	+	0.398194i	−0.998532	−	0.0541645i	$-0.982750\pi$
$257$	−1.71046	+	6.38353i	−0.106696	+	0.398194i	0.891836	+	0.452358i	$0.149417\pi$
$258$	−20.7118	−	25.2763i	−1.28946	−	1.57363i
$259$	−3.70572	−	11.7132i	−0.230262	−	0.727823i
$260$	2.64770	+	10.6764i	0.164203	+	0.662122i
$261$	3.00070	−	1.73245i	0.185738	−	0.107236i
$262$	2.22258	+	13.5255i	0.137312	+	0.835607i
$263$	−14.2846	+	3.82755i	−0.880827	+	0.236017i	−0.670764	−	0.741671i	$-0.734034\pi$
$263$	−14.2846	+	3.82755i	−0.880827	+	0.236017i	−0.210063	+	0.977688i	$0.567367\pi$
$264$	−8.46661	−	36.6867i	−0.521084	−	2.25791i
$265$	0.0365234	−	0.0172369i	0.00224362	−	0.00105886i
$266$	−4.36165	−	4.86325i	−0.267430	−	0.298185i
$267$	15.7967	+	15.7967i	0.966741	+	0.966741i
$268$	−18.4201	−	9.11836i	−1.12518	−	0.556993i
$269$	−9.58348	+	16.5991i	−0.584315	+	1.01206i	0.410646	+	0.911795i	$0.365303\pi$
$269$	−9.58348	+	16.5991i	−0.584315	+	1.01206i	−0.994960	+	0.100268i	$0.968030\pi$
$270$	25.3329	+	36.7272i	1.54171	+	2.23514i
$271$	−10.2637	+	5.92572i	−0.623473	+	0.359962i	−0.778220	−	0.627992i	$-0.783877\pi$
$271$	−10.2637	+	5.92572i	−0.623473	+	0.359962i	0.154747	+	0.987954i	$0.450544\pi$
$272$	−2.09065	−	5.09068i	−0.126764	−	0.308668i
$273$	−20.9446	+	0.934927i	−1.26763	+	0.0565843i
$274$	4.81691	+	0.478095i	0.291000	+	0.0288828i
$275$	−3.39941	+	20.3777i	−0.204992	+	1.22882i
$276$	18.5868	+	16.3499i	1.11879	+	0.984148i
$277$	6.00952	+	22.4278i	0.361077	+	1.34756i	0.872662	+	0.488325i	$0.162392\pi$
$277$	6.00952	+	22.4278i	0.361077	+	1.34756i	−0.511585	+	0.859233i	$0.670941\pi$
$278$	0.463646	−	1.22906i	0.0278077	−	0.0737144i
$279$	−2.80970			−0.168213
$280$	−5.49865	+	15.8039i	−0.328607	+	0.944467i
$281$	24.9917			1.49088			0.745440	−	0.666573i	$-0.232240\pi$
$281$	24.9917			1.49088			0.745440	+	0.666573i	$0.232240\pi$
$282$	1.76638	−	4.68243i	0.105186	−	0.278834i
$283$	−5.36217	−	20.0119i	−0.318748	−	1.18958i	−0.920449	−	0.390862i	$-0.872177\pi$
$283$	−5.36217	−	20.0119i	−0.318748	−	1.18958i	0.601701	−	0.798721i	$-0.294490\pi$
$284$	15.2829	−	17.3738i	0.906872	−	1.03095i
$285$	10.3361	+	7.16650i	0.612257	+	0.424507i
$286$	−14.3022	−	1.41954i	−0.845706	−	0.0839392i
$287$	−12.3779	−	19.3876i	−0.730642	−	1.14441i
$288$	11.9668	+	39.9919i	0.705152	+	2.35655i
$289$	−13.0832	+	7.55357i	−0.769598	+	0.444327i
$290$	−1.46041	−	0.268131i	−0.0857580	−	0.0157452i
$291$	−19.3556	+	33.5248i	−1.13464	+	1.96526i
$292$	6.98491	−	14.1103i	0.408761	−	0.825741i
$293$	16.6979	+	16.6979i	0.975503	+	0.975503i	0.999707	−	0.0242038i	$-0.00770506\pi$
$293$	16.6979	+	16.6979i	0.975503	+	0.975503i	−0.0242038	+	0.999707i	$0.507705\pi$
$294$	−27.4642	−	16.2141i	−1.60174	−	0.945627i
$295$	−18.2211	−	6.53682i	−1.06087	−	0.380588i
$296$	2.95338	+	12.7973i	0.171662	+	0.743827i
$297$	−56.3101	+	15.0882i	−3.26744	+	0.875508i
$298$	4.95861	+	30.1755i	0.287244	+	1.74802i
$299$	8.18353	−	4.72476i	0.473266	−	0.273240i
$300$	3.25985	−	32.0517i	0.188207	−	1.85050i
$301$	−18.5303	−	4.08912i	−1.06807	−	0.235693i
$302$	−14.6282	−	17.8520i	−0.841760	−	1.02727i
$303$	13.2285	−	49.3695i	0.759959	−	2.83620i
$304$	4.23464	+	5.55333i	0.242874	+	0.318505i
$305$	12.5173	−	10.6022i	0.716740	−	0.607078i
$306$	−13.0827	+	5.91578i	−0.747886	+	0.338183i
$307$	1.58268	+	1.58268i	0.0903283	+	0.0903283i	0.750827	−	0.660499i	$-0.229655\pi$
$307$	1.58268	+	1.58268i	0.0903283	+	0.0903283i	−0.660499	+	0.750827i	$0.729655\pi$
$308$	−17.0439	−	13.6941i	−0.971166	−	0.780296i
$309$	27.2565			1.55057
$310$	0.916874	+	0.780423i	0.0520750	+	0.0443250i
$311$	−26.0800	−	15.0573i	−1.47886	−	0.853820i	−0.479146	−	0.877735i	$-0.659053\pi$
$311$	−26.0800	−	15.0573i	−1.47886	−	0.853820i	−0.999714	+	0.0239153i	$0.992387\pi$
$312$	22.3993	+	0.784046i	1.26811	+	0.0443879i
$313$	−10.8072	−	2.89579i	−0.610862	−	0.163680i	−0.0598917	−	0.998205i	$-0.519076\pi$
$313$	−10.8072	−	2.89579i	−0.610862	−	0.163680i	−0.550970	+	0.834525i	$0.685742\pi$
$314$	−2.44059	+	24.5895i	−0.137731	+	1.38767i
$315$	41.7091	+	12.8948i	2.35004	+	0.726541i
$316$	−3.07098	+	15.3180i	−0.172756	+	0.861704i
$317$	−6.79265	−	1.82008i	−0.381513	−	0.102226i	0.0629652	−	0.998016i	$-0.479944\pi$
$317$	−6.79265	−	1.82008i	−0.381513	−	0.102226i	−0.444478	+	0.895790i	$0.646611\pi$
$318$	−0.0133435	−	0.0812019i	−0.000748269	−	0.00455358i
$319$	0.970037	−	1.68015i	0.0543117	−	0.0940706i
$320$	7.20308	−	16.3742i	0.402665	−	0.915348i
$321$	21.8050			1.21703
$322$	14.3537	+	0.780473i	0.799899	+	0.0434941i
$323$	−1.69851	+	1.69851i	−0.0945078	+	0.0945078i
$324$	44.1815	−	14.9233i	2.45453	−	0.829071i
$325$	−11.1934	−	5.09427i	−0.620900	−	0.282579i
$326$	−2.57698	−	1.84959i	−0.142726	−	0.102439i
$327$	18.9623	+	5.08094i	1.04862	+	0.280977i
$328$	11.5426	+	21.7127i	0.637332	+	1.19889i
$329$	−0.876584	−	2.77075i	−0.0483277	−	0.152756i
$330$	38.0248	+	18.0585i	2.09320	+	0.994087i
$331$	−15.8863	−	27.5159i	−0.873191	−	1.51241i	−0.858677	−	0.512517i	$-0.828713\pi$
$331$	−15.8863	−	27.5159i	−0.873191	−	1.51241i	−0.0145140	−	0.999895i	$-0.504620\pi$
$332$	6.97777	−	0.446772i	0.382955	−	0.0245198i
$333$	33.0981	−	8.86862i	1.81377	−	0.485997i
$334$	−20.2322	+	9.14867i	−1.10705	+	0.500593i
$335$	20.7814	−	9.80759i	1.13541	−	0.535846i
$336$	27.8892	+	19.6133i	1.52148	+	1.06999i
$337$	6.94850	+	6.94850i	0.378509	+	0.378509i	0.870564	−	0.492055i	$-0.163754\pi$
$337$	6.94850	+	6.94850i	0.378509	+	0.378509i	−0.492055	+	0.870564i	$0.663754\pi$
$338$	−3.46924	+	9.19648i	−0.188702	+	0.500223i
$339$	2.74357	+	1.58400i	0.149011	+	0.0860313i
$340$	5.91235	+	1.70337i	0.320642	+	0.0923784i
$341$	−1.36244	+	0.786607i	−0.0737804	+	0.0425971i
$342$	14.0933	−	11.5483i	0.762077	−	0.624458i
$343$	−18.3547	+	2.47109i	−0.991059	+	0.133426i
$344$	19.3994	+	5.93275i	1.04595	+	0.319872i
$345$	−27.2335	+	4.93177i	−1.46620	+	0.265517i
$346$	2.10937	−	2.93894i	0.113401	−	0.157998i
$347$	20.4499	−	5.47953i	1.09781	−	0.294157i	0.335936	−	0.941885i	$-0.390947\pi$
$347$	20.4499	−	5.47953i	1.09781	−	0.294157i	0.761872	+	0.647728i	$0.224281\pi$
$348$	−1.34221	+	2.71141i	−0.0719500	+	0.145347i
$349$	6.89569			0.369118			0.184559	−	0.982821i	$-0.440914\pi$
$349$	6.89569			0.369118			0.184559	+	0.982821i	$0.440914\pi$
$350$	−10.0290	−	15.7930i	−0.536074	−	0.844171i
$351$		−	34.7029i		−	1.85231i
$352$	16.9990	+	16.0421i	0.906047	+	0.855046i
$353$	4.20235	+	15.6834i	0.223669	+	0.834742i	0.982934	+	0.183961i	$0.0588919\pi$
$353$	4.20235	+	15.6834i	0.223669	+	0.834742i	−0.759265	+	0.650781i	$0.774441\pi$
$354$	−22.9994	+	32.0445i	−1.22240	+	1.70314i
$355$	4.60992	+	25.4562i	0.244669	+	1.35108i
$356$	−13.5978	−	2.72611i	−0.720682	−	0.144484i
$357$	−5.40487	+	10.4074i	−0.286056	+	0.550820i
$358$	−6.65035	−	8.11595i	−0.351482	−	0.428941i
$359$	8.18410	+	14.1753i	0.431940	+	0.748143i	0.997040	−	0.0768797i	$-0.0244957\pi$
$359$	8.18410	+	14.1753i	0.431940	+	0.748143i	−0.565100	+	0.825022i	$0.691162\pi$
$360$	−43.3516	−	17.2869i	−2.28483	−	0.911100i
$361$	−7.97589	+	13.8146i	−0.419783	+	0.727086i
$362$	0.885693	−	2.34785i	0.0465510	−	0.123401i
$363$	−13.8332	+	13.8332i	−0.726055	+	0.726055i
$364$	10.5001	−	7.69037i	0.550355	−	0.403085i
$365$	7.51288	+	15.9191i	0.393242	+	0.833243i
$366$	−13.7715	−	30.4555i	−0.719848	−	1.59193i
$367$	7.95917	+	29.7040i	0.415465	+	1.55054i	0.783902	+	0.620885i	$0.213227\pi$
$367$	7.95917	+	29.7040i	0.415465	+	1.55054i	−0.368436	+	0.929653i	$0.620107\pi$
$368$	−15.2298	−	2.05183i	−0.793908	−	0.106959i
$369$	55.5604	−	32.0778i	2.89236	−	1.66990i
$370$	−13.2641	−	6.29928i	−0.689566	−	0.327484i
$371$	−0.0352630	−	0.0322494i	−0.00183076	−	0.00167430i
$372$	2.04193	−	1.35992i	0.105869	−	0.0705086i
$373$	−6.29874	+	23.5072i	−0.326136	+	1.21716i	0.587028	+	0.809567i	$0.300298\pi$
$373$	−6.29874	+	23.5072i	−0.326136	+	1.21716i	−0.913165	+	0.407591i	$0.866369\pi$
$374$	−4.68767	+	6.53122i	−0.242394	+	0.337722i
$375$	25.8202	+	25.1145i	1.33335	+	1.29691i
$376$	0.698619	+	3.02719i	0.0360285	+	0.156115i
$377$	0.816634	+	0.816634i	0.0420588	+	0.0420588i
$378$	28.8388	−	44.2178i	1.48331	−	2.27432i
$379$			14.1168i			0.725134i	0.931958	+	0.362567i	$0.118100\pi$
$379$			14.1168i			0.725134i	−0.931958	+	0.362567i	$0.881900\pi$
$380$	−7.80661	−	0.146066i	−0.400471	−	0.00749305i
$381$	22.0287	+	12.7183i	1.12857	+	0.651578i
$382$	−37.8581	+	6.22106i	−1.93699	+	0.318297i
$383$	−3.55511	+	13.2678i	−0.181658	+	0.677955i	0.813664	+	0.581336i	$0.197470\pi$
$383$	−3.55511	+	13.2678i	−0.181658	+	0.677955i	−0.995321	+	0.0966195i	$0.969197\pi$
$384$	−28.0532	−	23.2718i	−1.43159	−	1.18758i
$385$	23.8350	−	5.42413i	1.21475	−	0.276439i
$386$	−2.47545	+	24.9407i	−0.125997	+	1.26945i
$387$	13.6985	−	51.1236i	0.696335	−	2.59876i
$388$	−1.53554	−	23.9824i	−0.0779552	−	1.21752i
$389$	−2.36436	+	4.09519i	−0.119878	+	0.207634i	−0.919719	−	0.392577i	$-0.871584\pi$
$389$	−2.36436	+	4.09519i	−0.119878	+	0.207634i	0.799841	+	0.600211i	$0.204917\pi$
$390$	−16.2421	+	19.0820i	−0.822453	+	0.966254i
$391$		−	5.28567i		−	0.267308i
$392$	19.7699	−	1.07313i	0.998530	−	0.0542015i
$393$	−22.0797	+	22.0797i	−1.11377	+	1.11377i
$394$	13.1263	−	5.93552i	0.661294	−	0.299027i
$395$	−11.2891	−	13.3284i	−0.568017	−	0.670623i
$396$	40.2767	−	45.7872i	2.02398	−	2.30089i
$397$	−11.0906	−	2.97172i	−0.556622	−	0.149146i	−0.0304681	−	0.999536i	$-0.509700\pi$
$397$	−11.0906	−	2.97172i	−0.556622	−	0.149146i	−0.526154	+	0.850389i	$0.676366\pi$
$398$	−12.5204	+	10.2594i	−0.627592	+	0.514259i
$399$	3.20686	−	14.5323i	0.160544	−	0.727523i
$400$	9.34507	+	17.6825i	0.467254	+	0.884123i
$401$	7.74620	+	13.4168i	0.386827	+	0.670004i	0.992021	−	0.126074i	$-0.0402377\pi$
$401$	7.74620	+	13.4168i	0.386827	+	0.670004i	−0.605194	+	0.796078i	$0.706904\pi$
$402$	−7.59231	−	46.2029i	−0.378670	−	2.30439i
$403$	−0.242386	−	0.904598i	−0.0120741	−	0.0450612i
$404$	10.1537	+	30.0607i	0.505164	+	1.49558i
$405$	−17.6059	+	49.0757i	−0.874844	+	2.43859i
$406$	0.361901	+	1.71918i	0.0179608	+	0.0853214i
$407$	13.5666	−	13.5666i	0.672472	−	0.672472i
$408$	6.64443	−	10.6314i	0.328948	−	0.526331i
$409$	5.26671	+	3.04074i	0.260422	+	0.150355i	0.624527	−	0.781003i	$-0.285292\pi$
$409$	5.26671	+	3.04074i	0.260422	+	0.150355i	−0.364105	+	0.931358i	$0.618625\pi$
$410$	−27.0406	−	4.96468i	−1.33544	−	0.245188i
$411$	5.51364	+	9.54990i	0.271968	+	0.471062i
$412$	−14.0831	+	9.37932i	−0.693825	+	0.462086i
$413$	1.02141	+	22.8821i	0.0502604	+	1.12596i
$414$	−3.95996	+	39.8975i	−0.194621	+	1.96085i
$415$	−4.45424	+	6.42424i	−0.218650	+	0.315354i
$416$	−11.8432	+	7.30278i	−0.580663	+	0.358048i
$417$	2.89055	−	0.774520i	0.141551	−	0.0379284i
$418$	3.60085	−	9.54538i	0.176123	−	0.466880i
$419$			33.9813i			1.66010i	0.557692	+	0.830048i	$0.311687\pi$
$419$			33.9813i			1.66010i	−0.557692	+	0.830048i	$0.688313\pi$
$420$	−36.5529	+	10.8163i	−1.78360	+	0.527784i
$421$		−	22.2854i		−	1.08612i	−0.839693	−	0.543062i	$-0.817265\pi$
$421$		−	22.2854i		−	1.08612i	0.839693	−	0.543062i	$-0.182735\pi$
$422$	−16.4128	−	6.19148i	−0.798961	−	0.301396i
$423$	7.82933	−	2.09786i	0.380675	−	0.102002i
$424$	0.0348371	+	0.0373644i	0.00169184	+	0.00181457i
$425$	−5.59833	+	3.99755i	−0.271559	+	0.193909i
$426$	52.4551	+	5.20634i	2.54146	+	0.252248i
$427$	−17.2251	−	8.94547i	−0.833580	−	0.432902i
$428$	−11.2664	+	7.50337i	−0.544580	+	0.362689i
$429$	−16.3709	−	28.3551i	−0.790392	−	1.36900i
$430$	−18.6702	+	12.8780i	−0.900358	+	0.621030i
$431$	−13.5930	−	7.84792i	−0.654752	−	0.378021i	0.135523	−	0.990774i	$-0.456729\pi$
$431$	−13.5930	−	7.84792i	−0.654752	−	0.378021i	−0.790274	+	0.612753i	$0.790062\pi$
$432$	−34.4911	+	44.6698i	−1.65945	+	2.14918i
$433$	17.8652	−	17.8652i	0.858546	−	0.858546i	−0.132621	−	0.991167i	$-0.542339\pi$
$433$	17.8652	−	17.8652i	0.858546	−	0.858546i	0.991167	+	0.132621i	$0.0423393\pi$
$434$	0.442895	−	1.35405i	0.0212596	−	0.0649965i
$435$	−1.44366	−	3.05899i	−0.0692184	−	0.146667i
$436$	−11.5460	+	3.89992i	−0.552954	+	0.186772i
$437$	1.73604	+	6.47899i	0.0830461	+	0.309932i
$438$	35.3926	−	5.81591i	1.69113	−	0.277895i
$439$	−19.7342	−	34.1806i	−0.941861	−	1.63135i	−0.761918	−	0.647674i	$-0.775742\pi$
$439$	−19.7342	−	34.1806i	−0.941861	−	1.63135i	−0.179943	−	0.983677i	$-0.557591\pi$
$440$	−25.8611	+	3.75422i	−1.23288	+	0.178976i
$441$	−4.60244	−	51.4501i	−0.219164	−	2.45000i
$442$	−3.03322	−	3.70168i	−0.144276	−	0.176071i
$443$	32.8123	+	8.79204i	1.55896	+	0.417722i	0.932334	−	0.361598i	$-0.117769\pi$
$443$	32.8123	+	8.79204i	1.55896	+	0.417722i	0.626626	+	0.779320i	$0.284435\pi$
$444$	−19.7613	+	22.4650i	−0.937830	+	1.06614i
$445$	11.8316	−	10.0214i	0.560872	−	0.475058i
$446$	−9.95281	−	22.0105i	−0.471279	−	1.04223i
$447$	−49.2602	+	49.2602i	−2.32993	+	2.32993i
$448$	−21.1592	−	0.536909i	−0.999678	−	0.0253666i
$449$		−	12.8498i		−	0.606418i	−0.952924	−	0.303209i	$-0.901942\pi$
$449$		−	12.8498i		−	0.606418i	0.952924	−	0.303209i	$-0.0980580\pi$
$450$	45.2524	−	25.9802i	2.13322	−	1.22472i
$451$	17.9610	−	31.1094i	0.845753	−	1.46489i
$452$	−1.96265	+	0.125664i	−0.0923152	+	0.00591074i
$453$	13.6082	−	50.7864i	0.639367	−	2.38615i
$454$	11.8244	+	1.17361i	0.554946	+	0.0550803i
$455$	−0.553408	+	14.5408i	−0.0259442	+	0.681685i
$456$	−4.65271	+	15.2139i	−0.217883	+	0.712454i
$457$	−8.22545	+	30.6978i	−0.384770	+	1.43598i	0.453758	+	0.891125i	$0.350083\pi$
$457$	−8.22545	+	30.6978i	−0.384770	+	1.43598i	−0.838529	+	0.544858i	$0.816584\pi$
$458$	2.18739	+	13.3113i	0.102210	+	0.621998i
$459$	−16.8108	−	9.70569i	−0.784659	−	0.453023i
$460$	12.3741	−	11.9196i	0.576947	−	0.555753i
$461$		−	21.6705i		−	1.00930i	−0.863325	−	0.504648i	$-0.831622\pi$
$461$		−	21.6705i		−	1.00930i	0.863325	−	0.504648i	$-0.168378\pi$
$462$	2.70426	−	49.7341i	0.125814	−	2.31384i
$463$	−5.38242	−	5.38242i	−0.250142	−	0.250142i	0.570887	−	0.821029i	$-0.306600\pi$
$463$	−5.38242	−	5.38242i	−0.250142	−	0.250142i	−0.821029	+	0.570887i	$0.806600\pi$
$464$	−0.239527	−	1.86282i	−0.0111198	−	0.0864794i
$465$	−0.226441	+	2.73355i	−0.0105010	+	0.126765i
$466$	−20.1649	−	14.4730i	−0.934121	−	0.670449i
$467$	0.983660	−	3.67107i	0.0455184	−	0.169877i	−0.939425	−	0.342755i	$-0.888640\pi$
$467$	0.983660	−	3.67107i	0.0455184	−	0.169877i	0.984943	+	0.172878i	$0.0553066\pi$
$468$	20.1222	+	30.2136i	0.930149	+	1.39662i
$469$	−20.0642	−	18.3495i	−0.926479	−	0.847301i
$470$	−3.13760	−	1.49009i	−0.144727	−	0.0687327i
$471$	−48.7506	+	28.1462i	−2.24631	+	1.29691i
$472$	0.856575	−	24.4714i	0.0394271	−	1.12639i
$473$	−7.67009	−	28.6252i	−0.352671	−	1.31619i
$474$	−32.4288	+	14.6638i	−1.48950	+	0.673531i
$475$	5.54928	−	6.73879i	0.254618	−	0.309197i
$476$	−0.788700	−	7.23728i	−0.0361500	−	0.331720i
$477$	0.0942444	−	0.0942444i	0.00431516	−	0.00431516i
$478$	12.0558	+	4.54786i	0.551418	+	0.208014i
$479$	−7.37870	+	12.7803i	−0.337142	+	0.583946i	−0.983894	−	0.178754i	$-0.942793\pi$
$479$	−7.37870	+	12.7803i	−0.337142	+	0.583946i	0.646752	+	0.762700i	$0.276127\pi$
$480$	39.8724	−	8.41943i	1.81992	−	0.384293i
$481$	5.71059	+	9.89103i	0.260380	+	0.450992i
$482$	−14.8953	+	12.2055i	−0.678462	+	0.555943i
$483$	17.6220	+	27.6015i	0.801828	+	1.25591i
$484$	2.38726	−	11.9076i	0.108512	−	0.541256i
$485$	22.0799	+	15.3091i	1.00260	+	0.695149i
$486$	37.6766	+	27.0417i	1.70904	+	1.22664i
$487$	4.47907	+	16.7161i	0.202966	+	0.757480i	0.990060	+	0.140646i	$0.0449181\pi$
$487$	4.47907	+	16.7161i	0.202966	+	0.757480i	−0.787094	+	0.616833i	$0.788415\pi$
$488$	17.5957	+	10.9970i	0.796519	+	0.497812i
$489$		−	7.22617i		−	0.326779i
$490$	−12.7889	+	18.0678i	−0.577743	+	0.816219i
$491$	7.31057			0.329922			0.164961	−	0.986300i	$-0.447250\pi$
$491$	7.31057			0.329922			0.164961	+	0.986300i	$0.447250\pi$
$492$	−24.8521	+	50.2040i	−1.12042	+	2.26337i
$493$	0.623988	−	0.167197i	0.0281030	−	0.00753018i
$494$	4.93381	+	3.54116i	0.221983	+	0.159324i
$495$	12.1490	+	67.0877i	0.546059	+	3.01537i
$496$	−0.587074	+	1.40531i	−0.0263604	+	0.0631002i
$497$	25.8002	−	16.4720i	1.15730	−	0.738869i
$498$	10.0957	+	12.3205i	0.452397	+	0.552097i
$499$	8.91331	−	5.14610i	0.399014	−	0.230371i	−0.287044	−	0.957917i	$-0.592673\pi$
$499$	8.91331	−	5.14610i	0.399014	−	0.230371i	0.686059	+	0.727546i	$0.259339\pi$
$500$	−21.9832	−	4.09133i	−0.983119	−	0.182970i
$501$	−43.8068	−	25.2919i	−1.95714	−	1.12996i
$502$	19.3776	+	7.30993i	0.864866	+	0.326258i
$503$	7.66766	+	7.66766i	0.341884	+	0.341884i	0.857075	−	0.515191i	$-0.172279\pi$
$503$	7.66766	+	7.66766i	0.341884	+	0.341884i	−0.515191	+	0.857075i	$0.672279\pi$
$504$	0.531205	+	55.2195i	0.0236618	+	2.45967i
$505$	−33.3907	−	11.9789i	−1.48587	−	0.533054i
$506$	9.24951	+	20.4551i	0.411191	+	0.909342i
$507$	−21.6285	+	5.79535i	−0.960557	+	0.257381i
$508$	−15.7585	+	1.00898i	−0.699170	+	0.0447664i
$509$	6.07686	+	10.5254i	0.269352	+	0.466531i	0.968695	−	0.248255i	$-0.0798572\pi$
$509$	6.07686	+	10.5254i	0.269352	+	0.466531i	−0.699343	+	0.714786i	$0.746524\pi$
$510$	4.70107	+	13.2048i	0.208167	+	0.584720i
$511$	14.0562	−	15.3697i	0.621810	−	0.679916i
$512$	22.5029	+	2.37076i	0.994496	+	0.104774i
$513$	23.7938	+	6.37553i	1.05052	+	0.281486i
$514$	5.44965	−	7.59286i	0.240374	−	0.334907i
$515$	1.56175	−	18.8532i	0.0688191	−	0.830771i
$516$	14.7890	+	43.7838i	0.651047	+	1.92748i
$517$	3.20917	−	3.20917i	0.141139	−	0.141139i
$518$	−0.943319	+	17.3486i	−0.0414471	+	0.762253i
$519$	8.24115			0.361746
$520$	1.82577	−	15.4486i	0.0800651	−	0.677464i
$521$	−12.9655	+	22.4568i	−0.568027	+	0.983851i	0.428734	+	0.903431i	$0.358960\pi$
$521$	−12.9655	+	22.4568i	−0.568027	+	0.983851i	−0.996761	+	0.0804207i	$0.974374\pi$
$522$	−4.83527	+	0.794558i	−0.211634	+	0.0347769i
$523$	−8.54209	−	2.28885i	−0.373519	−	0.100084i	0.0671755	−	0.997741i	$-0.478601\pi$
$523$	−8.54209	−	2.28885i	−0.373519	−	0.100084i	−0.440695	+	0.897657i	$0.645268\pi$
$524$	3.81041	−	19.0062i	0.166458	−	0.830292i
$525$	15.9068	−	39.5394i	0.694228	−	1.72564i
$526$	20.8119	+	2.06565i	0.907440	+	0.0900666i
$527$	−0.505994	−	0.135581i	−0.0220415	−	0.00590599i
$528$	−7.10939	+	52.7698i	−0.309396	+	2.29651i
$529$	7.13624	+	4.12011i	0.310271	+	0.179135i
$530$	−0.0569315	+	0.00457693i	−0.00247295	+	0.000198809i
$531$	−63.8849			−2.77237
$532$	3.34379	+	8.61217i	0.144972	+	0.373385i
$533$	15.1207	+	15.1207i	0.654949	+	0.654949i
$534$	−13.0171	−	28.7871i	−0.563304	−	1.24574i
$535$	1.24939	−	15.0824i	0.0540158	−	0.652068i
$536$	19.8219	+	21.2598i	0.856174	+	0.918285i
$537$	6.18660	−	23.0887i	0.266971	−	0.996351i
$538$	20.9663	−	17.1802i	0.903922	−	0.740689i
$539$	−16.6358	−	23.6600i	−0.716553	−	1.01911i
$540$	−15.1878	−	61.2422i	−0.653578	−	2.63545i
$541$	20.7883	−	12.0021i	0.893757	−	0.516011i	0.0185876	−	0.999827i	$-0.494083\pi$
$541$	20.7883	−	12.0021i	0.893757	−	0.516011i	0.875170	+	0.483816i	$0.160750\pi$
$542$	16.5387	−	2.71773i	0.710397	−	0.116736i
$543$	5.52175	−	1.47955i	0.236961	−	0.0634935i
$544$	0.225293	+	7.77953i	0.00965937	+	0.333544i
$545$	4.60097	−	12.8250i	0.197084	−	0.549363i
$546$	28.1805	+	9.21752i	1.20601	+	0.394474i
$547$	20.5107	+	20.5107i	0.876975	+	0.876975i	0.993221	−	0.116245i	$-0.0370859\pi$
$547$	20.5107	+	20.5107i	0.876975	+	0.876975i	−0.116245	+	0.993221i	$0.537086\pi$
$548$	−6.13507	−	3.03700i	−0.262077	−	0.129734i
$549$	27.0677	−	46.8827i	1.15522	−	2.00090i
$550$	14.6697	−	25.2668i	0.625519	−	1.07738i
$551$	−0.709949	+	0.409889i	−0.0302448	+	0.0174619i
$552$	−16.4328	−	30.9118i	−0.699428	−	1.31569i
$553$	−9.52508	+	18.3412i	−0.405048	+	0.779945i
$554$	3.24321	−	32.6761i	0.137791	−	1.38827i
$555$	−5.96078	−	32.9158i	−0.253021	−	1.39720i
$556$	−1.22699	+	1.39486i	−0.0520359	+	0.0591552i
$557$	7.43203	+	27.7367i	0.314905	+	1.17524i	0.924078	+	0.382205i	$0.124835\pi$
$557$	7.43203	+	27.7367i	0.314905	+	1.17524i	−0.609172	+	0.793038i	$0.708498\pi$
$558$	3.71779	+	1.40248i	0.157386	+	0.0593717i
$559$	17.6412			0.746144
$560$	15.1644	−	18.1670i	0.640814	−	0.767697i
$561$	−18.3143			−0.773232
$562$	−33.0689	−	12.4747i	−1.39493	−	0.526215i
$563$	6.75162	+	25.1974i	0.284547	+	1.06194i	0.949170	+	0.314765i	$0.101926\pi$
$563$	6.75162	+	25.1974i	0.284547	+	1.06194i	−0.664623	+	0.747179i	$0.731408\pi$
$564$	−4.67452	+	5.31407i	−0.196833	+	0.223763i
$565$	1.25285	−	1.80696i	0.0527078	−	0.0760192i
$566$	−2.89385	+	29.1562i	−0.121638	+	1.22553i
$567$	61.6294	−	2.75102i	2.58819	−	0.115532i
$568$	−28.8945	+	15.3604i	−1.21238	+	0.644508i
$569$	19.4264	−	11.2159i	0.814399	−	0.470193i	−0.0340824	−	0.999419i	$-0.510851\pi$
$569$	19.4264	−	11.2159i	0.814399	−	0.470193i	0.848481	+	0.529226i	$0.177518\pi$
$570$	−10.0994	−	14.6420i	−0.423019	−	0.613285i
$571$	4.48230	−	7.76357i	0.187578	−	0.324895i	−0.756864	−	0.653572i	$-0.773269\pi$
$571$	4.48230	−	7.76357i	0.187578	−	0.324895i	0.944442	+	0.328677i	$0.106603\pi$
$572$	18.2160	+	9.01734i	0.761649	+	0.377034i
$573$	−61.8017	−	61.8017i	−2.58180	−	2.58180i
$574$	6.70089	+	31.8320i	0.279690	+	1.32864i
$575$	1.85084	+	19.1199i	0.0771855	+	0.797353i
$576$	4.12776	−	58.8904i	0.171990	−	2.45377i
$577$	−7.36178	+	1.97258i	−0.306475	+	0.0821197i	−0.408779	−	0.912634i	$-0.634045\pi$
$577$	−7.36178	+	1.97258i	−0.306475	+	0.0821197i	0.102304	+	0.994753i	$0.467379\pi$
$578$	21.0820	−	3.46431i	0.876894	−	0.144096i
$579$	−49.4468	+	28.5481i	−2.05494	+	1.18642i
$580$	1.79856	+	1.08376i	0.0746812	+	0.0450007i
$581$	9.03232	+	1.99318i	0.374724	+	0.0826910i
$582$	42.3453	−	34.6984i	1.75527	−	1.43830i
$583$	0.0193150	−	0.0720844i	0.000799944	−	0.00298543i
$584$	−16.2856	+	15.1841i	−0.673904	+	0.628322i
$585$	−40.4472	−	3.35056i	−1.67229	−	0.138528i
$586$	−13.7597	−	30.4295i	−0.568410	−	1.25703i
$587$	−15.9754	−	15.9754i	−0.659374	−	0.659374i	0.295858	−	0.955232i	$-0.404395\pi$
$587$	−15.9754	−	15.9754i	−0.659374	−	0.659374i	−0.955232	+	0.295858i	$0.904395\pi$
$588$	28.2471	+	35.1633i	1.16489	+	1.45011i
$589$	0.664761			0.0273910
$590$	20.8472	+	17.7446i	0.858265	+	0.730536i
$591$	28.4212	+	16.4090i	1.16909	+	0.674975i
$592$	2.47994	−	18.4075i	0.101925	−	0.756543i
$593$	−41.5909	−	11.1442i	−1.70793	−	0.457639i	−0.733017	−	0.680210i	$-0.761889\pi$
$593$	−41.5909	−	11.1442i	−1.70793	−	0.457639i	−0.974917	+	0.222571i	$0.928555\pi$
$594$	82.0405	+	8.14280i	3.36616	+	0.334103i
$595$	6.88908	+	4.33485i	0.282425	+	0.177712i
$596$	8.50107	−	42.4032i	0.348217	−	1.73690i
$597$	−35.6187	−	9.54401i	−1.45778	−	0.390611i
$598$	−13.1868	+	2.16693i	−0.539248	+	0.0886122i
$599$	−0.453500	+	0.785486i	−0.0185295	+	0.0320941i	−0.875141	−	0.483867i	$-0.839232\pi$
$599$	−0.453500	+	0.785486i	−0.0185295	+	0.0320941i	0.856612	+	0.515961i	$0.172565\pi$
$600$	−20.3122	+	40.7834i	−0.829241	+	1.66498i
$601$	7.20557			0.293921			0.146961	−	0.989142i	$-0.453051\pi$
$601$	7.20557			0.293921			0.146961	+	0.989142i	$0.453051\pi$
$602$	22.4781	+	14.6602i	0.916139	+	0.597505i
$603$	53.6239	−	53.6239i	2.18373	−	2.18373i
$604$	10.4451	+	30.9234i	0.425004	+	1.25826i
$605$	8.77574	+	10.3610i	0.356784	+	0.421234i
$606$	−42.1470	+	58.7224i	−1.71210	+	2.38543i
$607$	−25.7366	−	6.89610i	−1.04462	−	0.279904i	−0.304591	−	0.952483i	$-0.598520\pi$
$607$	−25.7366	−	6.89610i	−1.04462	−	0.279904i	−0.740025	+	0.672579i	$0.765186\pi$
$608$	−2.83129	−	9.46188i	−0.114824	−	0.383730i
$609$	−2.70102	+	2.95342i	−0.109451	+	0.119679i
$610$	−21.8550	+	7.78063i	−0.884882	+	0.315028i
$611$	1.35083	+	2.33971i	0.0546489	+	0.0946547i
$612$	20.2638	−	1.29745i	0.819115	−	0.0524462i
$613$	−5.92605	+	1.58788i	−0.239351	+	0.0641339i	−0.376500	−	0.926416i	$-0.622873\pi$
$613$	−5.92605	+	1.58788i	−0.239351	+	0.0641339i	0.137149	+	0.990550i	$0.456206\pi$
$614$	−1.30419	−	2.88420i	−0.0526328	−	0.116397i
$615$	−26.7306	−	56.6397i	−1.07788	−	2.28393i
$616$	15.7169	+	26.6276i	0.633251	+	1.07286i
$617$	−4.62926	−	4.62926i	−0.186367	−	0.186367i	0.607757	−	0.794123i	$-0.292070\pi$
$617$	−4.62926	−	4.62926i	−0.186367	−	0.186367i	−0.794123	+	0.607757i	$0.792070\pi$
$618$	−36.0657	−	13.6052i	−1.45077	−	0.547283i
$619$	3.20362	+	1.84961i	0.128764	+	0.0743421i	0.562999	−	0.826458i	$-0.309648\pi$
$619$	3.20362	+	1.84961i	0.128764	+	0.0743421i	−0.434234	+	0.900800i	$0.642981\pi$
$620$	−0.823651	−	1.49031i	−0.0330786	−	0.0598525i
$621$	−46.9426	+	27.1023i	−1.88374	+	1.08758i
$622$	26.9930	+	32.9417i	1.08232	+	1.32084i
$623$	−16.2815	−	8.45542i	−0.652303	−	0.338759i
$624$	−29.2473	−	12.2182i	−1.17083	−	0.489119i
$625$	18.8511	−	16.4206i	0.754042	−	0.656826i
$626$	12.8546	+	9.22620i	0.513775	+	0.368753i
$627$	22.4491	−	6.01521i	0.896530	−	0.240225i
$628$	15.5034	−	31.3185i	0.618652	−	1.24974i
$629$	6.38853			0.254727
$630$	−48.7527	−	37.8817i	−1.94236	−	1.50924i
$631$			25.8114i			1.02754i	0.857929	+	0.513769i	$0.171751\pi$
$631$			25.8114i			1.02754i	−0.857929	+	0.513769i	$0.828249\pi$
$632$	11.7096	−	18.7358i	0.465781	−	0.745269i
$633$	−10.3428	−	38.6000i	−0.411091	−	1.53421i
$634$	8.07949	+	5.79891i	0.320878	+	0.230304i
$635$	10.0594	−	14.5084i	0.399195	−	0.575749i
$636$	−0.0228763	+	0.114106i	−0.000907103	+	0.00452461i
$637$	16.1676	−	5.92025i	0.640582	−	0.234569i
$638$	−2.12221	+	1.73897i	−0.0840189	+	0.0688465i
$639$	42.6879	+	73.9376i	1.68871	+	2.92493i
$640$	−17.7044	+	18.0708i	−0.699827	+	0.714313i
$641$	−11.3279	+	19.6206i	−0.447426	+	0.774965i	−0.998218	−	0.0596777i	$-0.980993\pi$
$641$	−11.3279	+	19.6206i	−0.447426	+	0.774965i	0.550791	+	0.834643i	$0.314326\pi$
$642$	−28.8522	−	10.8841i	−1.13871	−	0.429560i
$643$	−8.59712	+	8.59712i	−0.339037	+	0.339037i	−0.856005	−	0.516968i	$-0.827061\pi$
$643$	−8.59712	+	8.59712i	−0.339037	+	0.339037i	0.516968	+	0.856005i	$0.327061\pi$
$644$	−18.6031	−	8.19743i	−0.733066	−	0.323024i
$645$	−48.6339	−	17.4474i	−1.91496	−	0.686991i
$646$	3.09529	−	1.39964i	0.121782	−	0.0550681i
$647$	−2.63641	−	9.83920i	−0.103648	−	0.386819i	0.894540	−	0.446987i	$-0.147503\pi$
$647$	−2.63641	−	9.83920i	−0.103648	−	0.386819i	−0.998188	+	0.0601681i	$0.980836\pi$
$648$	−65.9098	−	2.30705i	−2.58918	−	0.0906296i
$649$	−30.9782	+	17.8853i	−1.21600	+	0.702058i
$650$	12.2683	+	12.3280i	0.481201	+	0.483543i
$651$	3.09430	−	0.978947i	0.121275	−	0.0383679i
$652$	2.48662	+	3.73368i	0.0973836	+	0.146222i
$653$	−6.25777	+	23.3543i	−0.244885	+	0.913925i	0.728556	+	0.684987i	$0.240192\pi$
$653$	−6.25777	+	23.3543i	−0.244885	+	0.913925i	−0.973441	+	0.228938i	$0.926475\pi$
$654$	−22.5547	−	16.1882i	−0.881957	−	0.633009i
$655$	14.0073	+	16.5376i	0.547311	+	0.646176i
$656$	−4.43504	−	34.4917i	−0.173159	−	1.34668i
$657$	41.0773	+	41.0773i	1.60258	+	1.60258i
$658$	−0.223141	+	4.10379i	−0.00869895	+	0.159982i
$659$		−	9.45113i		−	0.368164i	−0.982911	−	0.184082i	$-0.941069\pi$
$659$		−	9.45113i		−	0.368164i	0.982911	−	0.184082i	$-0.0589311\pi$
$660$	−41.3002	−	42.8752i	−1.60761	−	1.66891i
$661$	−22.8304	−	13.1811i	−0.888000	−	0.512687i	−0.0147122	−	0.999892i	$-0.504683\pi$
$661$	−22.8304	−	13.1811i	−0.888000	−	0.512687i	−0.873288	+	0.487205i	$0.838017\pi$
$662$	7.28597	+	44.3387i	0.283177	+	1.72327i
$663$	2.82171	−	10.5308i	0.109586	−	0.408980i
$664$	−9.45596	−	2.89183i	−0.366962	−	0.112225i
$665$	−9.86815	−	3.05084i	−0.382670	−	0.118307i
$666$	−48.2221	−	4.78621i	−1.86857	−	0.185462i
$667$	0.466884	−	1.74243i	0.0180778	−	0.0674673i
$668$	31.3377	−	2.00648i	1.21249	−	0.0776332i
$669$	27.5149	−	47.6572i	1.06379	−	1.84253i
$670$	−32.3933	+	2.60421i	−1.25146	+	0.100610i
$671$		−	30.3116i		−	1.17017i
$672$	−27.1128	−	39.8732i	−1.04590	−	1.53814i
$673$	27.0391	−	27.0391i	1.04228	−	1.04228i	0.0432153	−	0.999066i	$-0.486240\pi$
$673$	27.0391	−	27.0391i	1.04228	−	1.04228i	0.999066	−	0.0432153i	$-0.0137601\pi$
$674$	−5.72584	−	12.6626i	−0.220551	−	0.487745i
$675$	64.2081	+	29.2219i	2.47137	+	1.12475i
$676$	9.18095	−	10.4370i	0.353114	−	0.401425i
$677$	−15.6272	−	4.18731i	−0.600604	−	0.160931i	−0.0543089	−	0.998524i	$-0.517296\pi$
$677$	−15.6272	−	4.18731i	−0.600604	−	0.160931i	−0.546295	+	0.837593i	$0.683962\pi$
$678$	−2.83962	−	3.46542i	−0.109055	−	0.133088i
$679$	6.85049	−	31.0438i	0.262898	−	1.19135i
$680$	−6.97294	−	5.20508i	−0.267400	−	0.199606i
$681$	13.5347	+	23.4427i	0.518649	+	0.898327i
$682$	2.19542	−	0.360763i	0.0840668	−	0.0138143i
$683$	5.04460	+	18.8267i	0.193026	+	0.720384i	0.992769	+	0.120041i	$0.0383027\pi$
$683$	5.04460	+	18.8267i	0.193026	+	0.720384i	−0.799743	+	0.600343i	$0.795031\pi$
$684$	−24.4125	+	8.24586i	−0.933436	+	0.315288i
$685$	6.92154	−	3.26656i	0.264458	−	0.124809i
$686$	25.5202	+	5.89210i	0.974368	+	0.224961i
$687$	−21.7301	+	21.7301i	−0.829057	+	0.829057i
$688$	−22.7079	−	17.5335i	−0.865729	−	0.668459i
$689$	0.0384727	+	0.0222122i	0.00146569	+	0.000846218i
$690$	38.4969	+	7.06806i	1.46555	+	0.269077i
$691$	13.7405	+	23.7993i	0.522715	+	0.905368i	0.999651	+	0.0264303i	$0.00841402\pi$
$691$	13.7405	+	23.7993i	0.522715	+	0.905368i	−0.476936	+	0.878938i	$0.658253\pi$
$692$	−4.25810	+	2.83589i	−0.161869	+	0.107804i
$693$	67.9944	−	43.4105i	2.58289	−	1.64903i
$694$	−29.7943	−	2.95719i	−1.13098	−	0.112253i
$695$	−0.370108	−	2.04376i	−0.0140390	−	0.0775241i
$696$	3.12942	−	2.91775i	0.118620	−	0.110597i
$697$	11.5537	−	3.09580i	0.437626	−	0.117262i
$698$	−9.12434	−	3.44202i	−0.345361	−	0.130282i
$699$		−	56.5448i		−	2.13872i
$700$	5.38719	+	25.9032i	0.203617	+	0.979051i
$701$			33.4627i			1.26387i	0.775022	+	0.631934i	$0.217739\pi$
$701$			33.4627i			1.26387i	−0.775022	+	0.631934i	$0.782261\pi$
$702$	−17.3222	+	45.9188i	−0.653783	+	1.73309i
$703$	−7.83084	+	2.09827i	−0.295346	+	0.0791376i
$704$	−14.4854	−	29.7119i	−0.545940	−	1.11981i
$705$	−1.41002	−	7.78620i	−0.0531043	−	0.293245i
$706$	2.26792	−	22.8498i	0.0853543	−	0.859963i
$707$	1.87177	+	41.9321i	0.0703950	+	1.57702i
$708$	46.4278	−	30.9208i	1.74486	−	1.16208i
$709$	22.5451	+	39.0492i	0.846698	+	1.46652i	0.884138	+	0.467226i	$0.154747\pi$
$709$	22.5451	+	39.0492i	0.846698	+	1.46652i	−0.0374395	+	0.999299i	$0.511920\pi$
$710$	6.60679	−	35.9846i	0.247949	−	1.35048i
$711$	−49.9204	−	28.8216i	−1.87216	−	1.08089i
$712$	16.6318	+	10.3946i	0.623302	+	0.389554i
$713$	−1.03435	+	1.03435i	−0.0387366	+	0.0387366i
$714$	12.3466	−	11.0732i	0.462061	−	0.414404i
$715$	−20.5511	+	9.69893i	−0.768569	+	0.362719i
$716$	4.74858	+	14.0585i	0.177463	+	0.525392i
$717$	7.59718	+	28.3531i	0.283722	+	1.05887i
$718$	−3.75349	−	22.8418i	−0.140079	−	0.852448i
$719$	−11.0211	−	19.0891i	−0.411018	−	0.711904i	0.583983	−	0.811766i	$-0.301493\pi$
$719$	−11.0211	−	19.0891i	−0.411018	−	0.711904i	−0.995001	+	0.0998614i	$0.968160\pi$
$720$	48.7338	+	44.5131i	1.81620	+	1.65891i
$721$	−21.3412	+	6.75175i	−0.794789	+	0.251448i
$722$	17.4493	−	14.2982i	0.649396	−	0.532126i
$723$	−42.3749	−	11.3543i	−1.57594	−	0.422272i
$724$	−2.34389	+	2.66457i	−0.0871100	+	0.0990280i
$725$	−2.19861	+	0.823300i	−0.0816542	+	0.0305766i
$726$	25.2089	−	11.3991i	0.935591	−	0.423060i
$727$	−13.8472	+	13.8472i	−0.513563	+	0.513563i	−0.915616	−	0.402054i	$-0.868297\pi$
$727$	−13.8472	+	13.8472i	−0.513563	+	0.513563i	0.402054	+	0.915616i	$0.368297\pi$
$728$	−17.7324	+	4.93468i	−0.657205	+	0.182891i
$729$			35.6990i			1.32218i
$730$	−1.99490	−	24.8142i	−0.0738345	−	0.918413i
$731$	4.93388	−	8.54573i	0.182486	−	0.316075i
$732$	3.02036	+	47.1726i	0.111636	+	1.74355i
$733$	3.11861	−	11.6388i	0.115189	−	0.429889i	−0.884112	−	0.467274i	$-0.845236\pi$
$733$	3.11861	−	11.6388i	0.115189	−	0.429889i	0.999301	+	0.0373849i	$0.0119027\pi$
$734$	4.29540	−	43.2771i	0.158546	−	1.59739i
$735$	−50.4265	+	0.331202i	−1.86001	+	0.0122166i
$736$	19.1278	+	10.3170i	0.705060	+	0.380290i
$737$	10.9900	−	41.0151i	0.404821	−	1.51081i
$738$	−89.5290	+	14.7119i	−3.29561	+	0.541553i
$739$	44.1515	+	25.4909i	1.62414	+	0.937698i	0.985796	+	0.167948i	$0.0537140\pi$
$739$	44.1515	+	25.4909i	1.62414	+	0.937698i	0.638345	+	0.769750i	$0.279619\pi$
$740$	14.4066	+	14.9560i	0.529598	+	0.549794i
$741$			13.8350i			0.508241i
$742$	0.0305624	+	0.0602739i	0.00112198	+	0.00221273i
$743$	10.7301	+	10.7301i	0.393650	+	0.393650i	0.875986	−	0.482336i	$-0.160212\pi$
$743$	10.7301	+	10.7301i	0.393650	+	0.393650i	−0.482336	+	0.875986i	$0.660212\pi$
$744$	−3.38068	+	0.780199i	−0.123942	+	0.0286035i
$745$	31.2505	+	36.8955i	1.14493	+	1.35175i
$746$	20.0682	−	27.9606i	0.734750	−	1.02371i
$747$	−6.67714	+	24.9194i	−0.244304	+	0.911754i
$748$	9.46280	−	6.30220i	0.345994	−	0.230431i
$749$	−17.0728	+	5.40134i	−0.623826	+	0.197361i
$750$	−21.6290	−	46.1197i	−0.789780	−	1.68405i
$751$	−43.4137	+	25.0649i	−1.58419	+	0.914631i	−0.589949	+	0.807441i	$0.700852\pi$
$751$	−43.4137	+	25.0649i	−1.58419	+	0.914631i	−0.994239	+	0.107190i	$0.965815\pi$
$752$	0.586628	−	4.35428i	0.0213921	−	0.158784i
$753$	12.2112	+	45.5729i	0.445001	+	1.66077i
$754$	−0.672939	−	1.48819i	−0.0245070	−	0.0541968i
$755$	−34.3489	−	12.3227i	−1.25009	−	0.448468i
$756$	−60.2310	+	44.1137i	−2.19058	+	1.60440i
$757$	17.9629	−	17.9629i	0.652873	−	0.652873i	−0.300811	−	0.953684i	$-0.597257\pi$
$757$	17.9629	−	17.9629i	0.652873	−	0.652873i	0.953684	+	0.300811i	$0.0972572\pi$
$758$	7.04650	−	18.6793i	0.255940	−	0.678464i
$759$	−25.5706	+	44.2896i	−0.928155	+	1.60761i
$760$	10.2568	+	4.08999i	0.372052	+	0.148359i
$761$	−2.22889	−	3.86056i	−0.0807973	−	0.139945i	0.822795	−	0.568338i	$-0.192413\pi$
$761$	−2.22889	−	3.86056i	−0.0807973	−	0.139945i	−0.903593	+	0.428393i	$0.859080\pi$
$762$	−22.7999	−	27.8245i	−0.825953	−	1.00798i
$763$	−16.1057	+	0.718926i	−0.583065	+	0.0260269i
$764$	53.1990	+	10.6654i	1.92467	+	0.385862i
$765$	−12.9353	+	18.6563i	−0.467678	+	0.674520i
$766$	11.3268	−	15.7814i	0.409255	−	0.570205i
$767$	−5.51119	−	20.5680i	−0.198998	−	0.742669i
$768$	25.5036	+	44.7960i	0.920283	+	1.61644i
$769$		−	2.72352i		−	0.0982127i	−0.998794	−	0.0491063i	$-0.984363\pi$
$769$		−	2.72352i		−	0.0982127i	0.998794	−	0.0491063i	$-0.0156373\pi$
$770$	−34.2459	−	4.72021i	−1.23414	−	0.170105i
$771$	21.2913			0.766788
$772$	15.7248	−	31.7657i	0.565947	−	1.14327i
$773$	32.1506	−	8.61472i	1.15638	−	0.309850i	0.370858	−	0.928690i	$-0.379064\pi$
$773$	32.1506	−	8.61472i	1.15638	−	0.309850i	0.785517	+	0.618840i	$0.212397\pi$
$774$	−43.6444	+	60.8087i	−1.56877	+	2.18573i
$775$	1.87781	+	0.313256i	0.0674529	+	0.0112525i
$776$	−9.93912	+	32.4998i	−0.356794	+	1.16668i
$777$	−33.3606	+	21.2988i	−1.19681	+	0.764091i
$778$	5.17264	−	4.23855i	0.185448	−	0.151959i
$779$	−13.1453	+	7.58944i	−0.470979	+	0.271920i
$780$	31.0164	−	17.1418i	1.11057	−	0.613775i
$781$	41.3992	+	23.9019i	1.48138	+	0.855276i
$782$	−2.63837	+	6.99397i	−0.0943480	+	0.250104i
$783$	−4.68440	−	4.68440i	−0.167407	−	0.167407i
$784$	−26.6951	−	8.44828i	−0.953395	−	0.301724i
$785$	16.6752	+	35.3333i	0.595164	+	1.26110i
$786$	40.2370	−	18.1946i	1.43521	−	0.648978i
$787$	−46.7521	+	12.5272i	−1.66653	+	0.446546i	−0.964173	−	0.265275i	$-0.914537\pi$
$787$	−46.7521	+	12.5272i	−1.66653	+	0.446546i	−0.702360	+	0.711822i	$0.747870\pi$
$788$	−20.3314	+	1.30178i	−0.724277	+	0.0463739i
$789$	23.8221	+	41.2611i	0.848089	+	1.46893i
$790$	8.28476	+	23.2710i	0.294759	+	0.827947i
$791$	−2.54053	−	0.560624i	−0.0903310	−	0.0199335i
$792$	−76.1489	+	40.4811i	−2.70583	+	1.43843i
$793$	17.4292	+	4.67013i	0.618928	+	0.165841i
$794$	13.1917	+	9.46811i	0.468156	+	0.336011i
$795$	−0.0840946	−	0.0992854i	−0.00298253	−	0.00352129i
$796$	21.6880	−	7.32560i	0.768711	−	0.259649i
$797$	25.0412	−	25.0412i	0.887006	−	0.887006i	−0.107229	−	0.994234i	$-0.534198\pi$
$797$	25.0412	−	25.0412i	0.887006	−	0.887006i	0.994234	+	0.107229i	$0.0341977\pi$
$798$	−11.4972	+	17.6283i	−0.406995	+	0.624035i
$799$	1.51120			0.0534624
$800$	−3.53905	−	28.0620i	−0.125124	−	0.992141i
$801$	25.5849	−	44.3144i	0.903999	−	1.56577i
$802$	−3.55266	−	21.6196i	−0.125449	−	0.763415i
$803$	31.4187	+	8.41861i	1.10874	+	0.297086i
$804$	−13.0163	+	64.9251i	−0.459050	+	2.28973i
$805$	20.1016	−	10.6075i	0.708487	−	0.373866i
$806$	−0.130811	+	1.31795i	−0.00460761	+	0.0464227i
$807$	59.6461	+	15.9821i	2.09964	+	0.562598i
$808$	1.56970	−	44.8445i	0.0552218	−	1.57762i
$809$	−40.5645	−	23.4199i	−1.42617	−	0.823401i	−0.429357	−	0.903135i	$-0.641260\pi$
$809$	−40.5645	−	23.4199i	−1.42617	−	0.823401i	−0.996816	+	0.0797336i	$0.974593\pi$
$810$	47.7924	−	56.1486i	1.67925	−	1.97286i
$811$	8.61581			0.302542			0.151271	−	0.988492i	$-0.451663\pi$
$811$	8.61581			0.302542			0.151271	+	0.988492i	$0.451663\pi$
$812$	0.379273	−	2.45545i	0.0133099	−	0.0861695i
$813$	26.9986	+	26.9986i	0.946883	+	0.946883i
$814$	−24.7231	+	11.1794i	−0.866545	+	0.391839i
$815$	−4.99831	−	0.414048i	−0.175083	−	0.0145035i
$816$	−14.0986	+	10.7508i	−0.493549	+	0.376352i
$817$	−3.24100	+	12.0956i	−0.113388	+	0.423170i
$818$	−5.45108	−	6.65240i	−0.190593	−	0.232596i
$819$	14.4851	+	45.7850i	0.506149	+	1.59986i
$820$	33.3019	+	20.0667i	1.16295	+	0.700760i
$821$	21.7231	−	12.5418i	0.758141	−	0.437713i	−0.0704869	−	0.997513i	$-0.522455\pi$
$821$	21.7231	−	12.5418i	0.758141	−	0.437713i	0.828628	+	0.559800i	$0.189122\pi$
$822$	−2.52873	−	15.3885i	−0.0881995	−	0.536737i
$823$	−2.33957	+	0.626887i	−0.0815524	+	0.0218519i	−0.299365	−	0.954139i	$-0.596775\pi$
$823$	−2.33957	+	0.626887i	−0.0815524	+	0.0218519i	0.217812	+	0.975991i	$0.430108\pi$
$824$	23.3164	−	5.38100i	0.812266	−	0.187456i
$825$	66.2485	−	6.41299i	2.30648	−	0.223272i
$826$	10.0702	−	30.7873i	0.350387	−	1.07123i
$827$	−23.5704	−	23.5704i	−0.819622	−	0.819622i	0.166431	−	0.986053i	$-0.446776\pi$
$827$	−23.5704	−	23.5704i	−0.819622	−	0.819622i	−0.986053	+	0.166431i	$0.946776\pi$
$828$	25.1548	−	50.8155i	0.874191	−	1.76596i
$829$	26.2729	−	45.5060i	0.912495	−	1.58049i	0.101966	−	0.994788i	$-0.467487\pi$
$829$	26.2729	−	45.5060i	0.912495	−	1.58049i	0.810528	−	0.585699i	$-0.199180\pi$
$830$	9.10052	−	6.27717i	0.315884	−	0.217884i
$831$	64.7828	−	37.4024i	2.24729	−	1.29747i
$832$	19.3161	−	3.75138i	0.669667	−	0.130056i
$833$	1.65385	−	9.48764i	0.0573026	−	0.328727i
$834$	−4.21136	−	0.417992i	−0.145828	−	0.0144739i
$835$	−20.0043	+	28.8517i	−0.692278	+	0.998456i
$836$	−9.52926	+	10.8330i	−0.329576	+	0.374667i
$837$	1.39038	+	5.18898i	0.0480587	+	0.179357i
$838$	16.9620	−	44.9639i	0.585941	−	1.55325i
$839$	−40.4698			−1.39717			−0.698587	−	0.715526i	$-0.746187\pi$
$839$	−40.4698			−1.39717			−0.698587	+	0.715526i	$0.746187\pi$
$840$	53.7657	+	3.93347i	1.85509	+	0.135718i
$841$	−28.7795			−0.992398
$842$	−11.1239	+	29.4879i	−0.383354	+	1.01622i
$843$	−20.8390	−	77.7723i	−0.717734	−	2.67862i
$844$	18.6268	+	16.3851i	0.641160	+	0.563997i
$845$	2.76933	+	15.2924i	0.0952680	+	0.526075i
$846$	−11.4069	−	1.13217i	−0.392177	−	0.0389249i
$847$	7.40444	−	14.2577i	0.254420	−	0.489902i
$848$	−0.0274456	−	0.0668294i	−0.000942486	−	0.00229493i
$849$	−57.8043	+	33.3733i	−1.98384	+	1.14537i
$850$	9.40308	−	2.49509i	0.322523	−	0.0855810i
$851$	8.91971	−	15.4494i	0.305764	−	0.529598i
$852$	−66.8095	−	33.0722i	−2.28885	−	1.13304i
$853$	16.0134	+	16.0134i	0.548289	+	0.548289i	0.925946	−	0.377657i	$-0.123270\pi$
$853$	16.0134	+	16.0134i	0.548289	+	0.548289i	−0.377657	+	0.925946i	$0.623270\pi$
$854$	18.3270	+	20.4346i	0.627135	+	0.699257i
$855$	9.72814	−	27.1168i	0.332695	−	0.927374i
$856$	18.6529	−	4.30475i	0.637544	−	0.147133i
$857$	19.0569	−	5.10629i	0.650972	−	0.174428i	0.0818039	−	0.996648i	$-0.473932\pi$
$857$	19.0569	−	5.10629i	0.650972	−	0.174428i	0.569168	+	0.822221i	$0.307265\pi$
$858$	7.50819	+	45.6910i	0.256326	+	1.55986i
$859$	36.6811	−	21.1778i	1.25154	−	0.722578i	0.280126	−	0.959963i	$-0.409624\pi$
$859$	36.6811	−	21.1778i	1.25154	−	0.722578i	0.971416	+	0.237385i	$0.0762903\pi$
$860$	31.1324	−	7.72070i	1.06161	−	0.263274i
$861$	−50.0116	+	54.6851i	−1.70439	+	1.86366i
$862$	14.0688	+	17.1693i	0.479187	+	0.584790i
$863$	3.78138	−	14.1123i	0.128720	−	0.480388i	−0.871225	−	0.490883i	$-0.836674\pi$
$863$	3.78138	−	14.1123i	0.128720	−	0.480388i	0.999945	+	0.0104953i	$0.00334081\pi$
$864$	67.9356	−	41.8904i	2.31121	−	1.42514i
$865$	0.472205	−	5.70036i	0.0160554	−	0.193818i
$866$	−32.5566	+	14.7216i	−1.10632	+	0.500261i
$867$	34.4154	+	34.4154i	1.16881	+	1.16881i
$868$	−1.26192	+	1.57060i	−0.0428323	+	0.0533095i
$869$	−32.2756			−1.09487
$870$	0.383336	+	4.76825i	0.0129963	+	0.161659i
$871$	21.8905	+	12.6385i	0.741730	+	0.428238i
$872$	17.2243	+	0.602905i	0.583288	+	0.0204169i
$873$	85.6472	+	22.9491i	2.89872	+	0.776710i
$874$	0.936905	−	9.43952i	0.0316913	−	0.319297i
$875$	−26.4378	−	13.2682i	−0.893760	−	0.448546i
$876$	−49.7344	−	9.97084i	−1.68037	−	0.336884i
$877$	3.02057	+	0.809360i	0.101998	+	0.0273302i	0.309457	−	0.950913i	$-0.399853\pi$
$877$	3.02057	+	0.809360i	0.101998	+	0.0273302i	−0.207459	+	0.978244i	$0.566519\pi$
$878$	9.05072	+	55.0780i	0.305447	+	1.85879i
$879$	38.0393	−	65.8861i	1.28303	−	2.22228i
$880$	36.0932	+	7.94115i	1.21670	+	0.267696i
$881$	−24.6558			−0.830674			−0.415337	−	0.909668i	$-0.636336\pi$
$881$	−24.6558			−0.830674			−0.415337	+	0.909668i	$0.636336\pi$
$882$	−19.5917	+	70.3758i	−0.659686	+	2.36968i
$883$	−18.6932	+	18.6932i	−0.629076	+	0.629076i	−0.947836	−	0.318760i	$-0.896734\pi$
$883$	−18.6932	+	18.6932i	−0.629076	+	0.629076i	0.318760	+	0.947836i	$0.396734\pi$
$884$	2.16583	+	6.41210i	0.0728446	+	0.215662i
$885$	−5.14864	+	62.1534i	−0.173070	+	2.08926i
$886$	−39.0285	−	28.0120i	−1.31119	−	0.941082i
$887$	19.8939	+	5.33055i	0.667972	+	0.178982i	0.576841	−	0.816857i	$-0.304285\pi$
$887$	19.8939	+	5.33055i	0.667972	+	0.178982i	0.0911306	+	0.995839i	$0.470952\pi$
$888$	37.3616	−	19.8616i	1.25377	−	0.666510i
$889$	−20.3985	−	4.50137i	−0.684143	−	0.150971i
$890$	−20.6577	+	7.35439i	−0.692449	+	0.246520i
$891$	48.1711	+	83.4349i	1.61379	+	2.79517i
$892$	2.18285	+	34.0921i	0.0730871	+	1.14149i
$893$	−1.85238	+	0.496343i	−0.0619874	+	0.0166095i
$894$	89.7693	−	40.5923i	3.00233	−	1.35761i
$895$	−15.6159	−	5.60219i	−0.521981	−	0.187260i
$896$	27.7297	+	11.2722i	0.926385	+	0.376577i
$897$	−21.5268	−	21.5268i	−0.718760	−	0.718760i
$898$	−6.41403	+	17.0027i	−0.214039	+	0.567389i
$899$	−0.154826	−	0.0893891i	−0.00516375	−	0.00298129i
$900$	−72.8459	+	11.7889i	−2.42820	+	0.392962i
$901$	0.0215200	−	0.0124246i	0.000716936	−	0.000413923i
$902$	−39.2944	+	32.1985i	−1.30836	+	1.07209i
$903$	2.72625	+	61.0746i	0.0907240	+	2.03244i
$904$	2.65969	+	0.813389i	0.0884600	+	0.0270529i
$905$	−0.707009	−	3.90414i	−0.0235018	−	0.129778i
$906$	−43.3565	+	60.4076i	−1.44042	+	2.00691i
$907$	−8.15771	+	2.18585i	−0.270872	+	0.0725800i	−0.391698	−	0.920094i	$-0.628112\pi$
$907$	−8.15771	+	2.18585i	−0.270872	+	0.0725800i	0.120826	+	0.992674i	$0.461446\pi$
$908$	−15.0601	−	7.45512i	−0.499788	−	0.247407i
$909$	−117.071			−3.88299
$910$	7.99041	−	18.9641i	0.264880	−	0.628655i
$911$			1.94644i			0.0644885i	0.999480	+	0.0322443i	$0.0102654\pi$
$911$			1.94644i			0.0644885i	−0.999480	+	0.0322443i	$0.989735\pi$
$912$	13.7505	−	17.8085i	0.455325	−	0.589697i
$913$	3.73867	+	13.9529i	0.123732	+	0.461774i
$914$	26.2068	−	36.5134i	0.866845	−	1.20776i
$915$	−43.4305	−	30.1125i	−1.43577	−	0.995488i
$916$	3.75008	−	18.7053i	0.123906	−	0.618042i
$917$	11.8185	−	22.7573i	0.390282	−	0.751514i
$918$	17.3992	+	21.2337i	0.574261	+	0.700816i
$919$	−8.62690	−	14.9422i	−0.284575	−	0.492899i	0.687931	−	0.725776i	$-0.258519\pi$
$919$	−8.62690	−	14.9422i	−0.284575	−	0.492899i	−0.972506	+	0.232877i	$0.925186\pi$
$920$	−22.3231	+	9.59531i	−0.735971	+	0.316348i
$921$	3.60548	−	6.24488i	0.118805	−	0.205776i
$922$	−10.8170	+	28.6743i	−0.356237	+	0.944338i
$923$	−20.1220	+	20.1220i	−0.662323	+	0.662323i
$924$	−28.4033	+	64.4580i	−0.934400	+	2.12051i
$925$	−23.1092	+	2.23702i	−0.759827	+	0.0735528i
$926$	4.43533	+	9.80866i	0.145754	+	0.322332i
$927$	−16.1585	−	60.3042i	−0.530713	−	1.98065i
$928$	−0.612898	+	2.58444i	−0.0201194	+	0.0848384i
$929$	−36.6883	+	21.1820i	−1.20370	+	0.694959i	−0.961377	−	0.275235i	$-0.911244\pi$
$929$	−36.6883	+	21.1820i	−1.20370	+	0.694959i	−0.242328	+	0.970194i	$0.577911\pi$
$930$	1.66409	−	3.50399i	0.0545677	−	0.114900i
$931$	1.08891	+	12.1728i	0.0356876	+	0.398948i
$932$	19.4578	+	29.2160i	0.637361	+	0.957003i
$933$	−25.1107	+	93.7143i	−0.822086	+	3.06807i
$934$	−3.13401	+	4.36654i	−0.102548	+	0.142878i
$935$	−1.04938	+	12.6679i	−0.0343185	+	0.414286i
$936$	−11.5443	−	50.0226i	−0.377337	−	1.63504i
$937$	9.21009	+	9.21009i	0.300881	+	0.300881i	0.841358	−	0.540478i	$-0.181756\pi$
$937$	9.21009	+	9.21009i	0.300881	+	0.300881i	−0.540478	+	0.841358i	$0.681756\pi$
$938$	17.3896	+	34.2951i	0.567790	+	1.11977i
$939$			36.0460i			1.17632i
$940$	3.40787	+	3.53783i	0.111152	+	0.115391i
$941$	3.39262	+	1.95873i	0.110596	+	0.0638527i	0.554278	−	0.832332i	$-0.312995\pi$
$941$	3.39262	+	1.95873i	0.110596	+	0.0638527i	−0.443682	+	0.896184i	$0.646328\pi$
$942$	78.5558	−	12.9087i	2.55949	−	0.420589i
$943$	8.64474	−	32.2626i	0.281512	−	1.05062i
$944$	−13.3484	+	31.9528i	−0.434455	+	1.03998i
$945$	3.17448	−	83.4096i	0.103266	−	2.71331i
$946$	−4.13939	+	41.7053i	−0.134583	+	1.35595i
$947$	−4.64165	+	17.3229i	−0.150833	+	0.562918i	0.848593	+	0.529046i	$0.177450\pi$
$947$	−4.64165	+	17.3229i	−0.150833	+	0.562918i	−0.999426	+	0.0338712i	$0.989216\pi$
$948$	50.2291	−	3.21606i	1.63137	−	0.104453i
$949$	−9.68141	+	16.7687i	−0.314272	+	0.544335i
$950$	−10.7065	+	6.14677i	−0.347364	+	0.199428i
$951$			22.6559i			0.734667i
$952$	−2.56893	+	9.97002i	−0.0832594	+	0.323130i
$953$	−4.57177	+	4.57177i	−0.148094	+	0.148094i	−0.777266	−	0.629172i	$-0.783394\pi$
$953$	−4.57177	+	4.57177i	−0.148094	+	0.148094i	0.629172	+	0.777266i	$0.283394\pi$
$954$	−0.171746	+	0.0776611i	−0.00556049	+	0.00251437i
$955$	−46.2891	+	39.2068i	−1.49788	+	1.26870i
$956$	−13.6820	−	12.0354i	−0.442509	−	0.389253i
$957$	−6.03737	−	1.61771i	−0.195160	−	0.0522931i
$958$	16.1428	−	13.2277i	0.521551	−	0.427367i
$959$	−6.68267	−	6.11156i	−0.215795	−	0.197353i
$960$	−56.9616	−	8.76200i	−1.83843	−	0.282792i
$961$	−15.4275	−	26.7212i	−0.497662	−	0.861975i
$962$	−2.61906	−	15.9382i	−0.0844418	−	0.513869i
$963$	−12.9266	−	48.2428i	−0.416554	−	1.55460i
$964$	25.8018	−	8.71512i	0.831020	−	0.280695i
$965$	16.9134	+	35.8378i	0.544460	+	1.15366i
$966$	−9.53986	−	45.3183i	−0.306940	−	1.45809i
$967$	9.25721	−	9.25721i	0.297692	−	0.297692i	−0.542417	−	0.840109i	$-0.682491\pi$
$967$	9.25721	−	9.25721i	0.297692	−	0.297692i	0.840109	+	0.542417i	$0.182491\pi$
$968$	−9.10257	+	14.5645i	−0.292568	+	0.468121i
$969$	6.70193	+	3.86936i	0.215297	+	0.124302i
$970$	−21.5744	−	31.2782i	−0.692713	−	1.00428i
$971$	−24.2512	−	42.0043i	−0.778257	−	1.34798i	−0.932945	−	0.360018i	$-0.882771\pi$
$971$	−24.2512	−	42.0043i	−0.778257	−	1.34798i	0.154688	−	0.987963i	$-0.450563\pi$
$972$	−36.3554	−	54.5879i	−1.16610	−	1.75091i
$973$	−2.07138	+	1.32245i	−0.0664053	+	0.0423959i
$974$	2.41726	−	24.3544i	0.0774540	−	0.780366i
$975$	−6.51949	+	39.0809i	−0.208791	+	1.25159i
$976$	−17.7933	−	23.3342i	−0.569549	−	0.746909i
$977$	−6.54011	+	1.75242i	−0.209237	+	0.0560648i	−0.361915	−	0.932211i	$-0.617877\pi$
$977$	−6.54011	+	1.75242i	−0.209237	+	0.0560648i	0.152678	+	0.988276i	$0.451210\pi$
$978$	−3.60698	+	9.56163i	−0.115339	+	0.305747i
$979$		−	28.6511i		−	0.915693i
$980$	25.9408	−	17.5235i	0.828649	−	0.559769i
$981$		−	44.9657i		−	1.43564i
$982$	−9.67331	−	3.64911i	−0.308688	−	0.116448i
$983$	22.7114	−	6.08550i	0.724381	−	0.194097i	0.122255	−	0.992499i	$-0.460987\pi$
$983$	22.7114	−	6.08550i	0.724381	−	0.194097i	0.602125	+	0.798402i	$0.294321\pi$
$984$	57.9438	−	54.0246i	1.84718	−	1.72224i
$985$	12.9785	−	18.7186i	0.413529	−	0.596424i
$986$	−0.909115	−	0.0902328i	−0.0289521	−	0.00287360i
$987$	−7.89142	+	5.03822i	−0.251187	+	0.160368i
$988$	−4.76080	−	7.14838i	−0.151461	−	0.227420i
$989$	−13.7774	−	23.8632i	−0.438097	−	0.758806i
$990$	17.4116	−	94.8343i	0.553378	−	3.01403i
$991$	31.0595	+	17.9322i	0.986638	+	0.569636i	0.904268	−	0.426966i	$-0.140418\pi$
$991$	31.0595	+	17.9322i	0.986638	+	0.569636i	0.0823702	+	0.996602i	$0.473751\pi$
$992$	1.47828	−	1.56646i	0.0469355	−	0.0497350i
$993$	−72.3809	+	72.3809i	−2.29694	+	2.29694i
$994$	−42.3608	+	8.91728i	−1.34360	+	0.282839i
$995$	−8.64245	+	24.0905i	−0.273984	+	0.763719i
$996$	−7.20865	−	21.3418i	−0.228415	−	0.676240i
$997$	4.32356	+	16.1358i	0.136929	+	0.511024i	0.999983	+	0.00591261i	$0.00188205\pi$
$997$	4.32356	+	16.1358i	0.136929	+	0.511024i	−0.863054	+	0.505112i	$0.831451\pi$
$998$	−14.3627	+	2.36017i	−0.454645	+	0.0747097i
$999$	−32.7572	−	56.7372i	−1.03639	−	1.79509i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.67.6	✓	176
5.3	odd	4	inner	280.2.br.a.123.18	yes	176
7.2	even	3	inner	280.2.br.a.107.25	yes	176
8.3	odd	2	inner	280.2.br.a.67.42	yes	176
35.23	odd	12	inner	280.2.br.a.163.42	yes	176
40.3	even	4	inner	280.2.br.a.123.25	yes	176
56.51	odd	6	inner	280.2.br.a.107.18	yes	176
280.163	even	12	inner	280.2.br.a.163.6	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.6	✓	176	1.1	even	1	trivial
280.2.br.a.67.42	yes	176	8.3	odd	2	inner
280.2.br.a.107.18	yes	176	56.51	odd	6	inner
280.2.br.a.107.25	yes	176	7.2	even	3	inner
280.2.br.a.123.18	yes	176	5.3	odd	4	inner
280.2.br.a.123.25	yes	176	40.3	even	4	inner
280.2.br.a.163.6	yes	176	280.163	even	12	inner
280.2.br.a.163.42	yes	176	35.23	odd	12	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.32319 - 0.499155i) q^{2} +(-0.833838 - 3.11193i) q^{3} +(1.50169 + 1.32096i) q^{4} +(-2.20028 + 0.398453i) q^{5} +(-0.450005 + 4.53390i) q^{6} +(1.42374 + 2.23002i) q^{7} +(-1.32766 - 2.49746i) q^{8} +(-6.39072 + 3.68968i) q^{9} +O(q^{10})\)	\(q+(-1.32319 - 0.499155i) q^{2} +(-0.833838 - 3.11193i) q^{3} +(1.50169 + 1.32096i) q^{4} +(-2.20028 + 0.398453i) q^{5} +(-0.450005 + 4.53390i) q^{6} +(1.42374 + 2.23002i) q^{7} +(-1.32766 - 2.49746i) q^{8} +(-6.39072 + 3.68968i) q^{9} +(3.11029 + 0.571051i) q^{10} +(-2.06593 + 3.57830i) q^{11} +(2.85856 - 5.77461i) q^{12} +(-1.73922 - 1.73922i) q^{13} +(-0.770755 - 3.66141i) q^{14} +(3.07463 + 6.51486i) q^{15} +(0.510131 + 3.96734i) q^{16} +(-1.32894 + 0.356087i) q^{17} +(10.2979 - 1.69221i) q^{18} +(1.51201 - 0.872959i) q^{19} +(-3.83047 - 2.30813i) q^{20} +(5.75248 - 6.29003i) q^{21} +(4.51976 - 3.70356i) q^{22} +(-0.994343 + 3.71094i) q^{23} +(-6.66486 + 6.21406i) q^{24} +(4.68247 - 1.75342i) q^{25} +(1.43319 + 3.16947i) q^{26} +(9.97657 + 9.97657i) q^{27} +(-0.807754 + 5.22949i) q^{28} -0.469540 q^{29} +(-0.816408 - 10.1552i) q^{30} +(0.329741 + 0.190376i) q^{31} +(1.30532 - 5.50419i) q^{32} +(12.8580 + 3.44530i) q^{33} +(1.93618 + 0.192173i) q^{34} +(-4.02118 - 4.33937i) q^{35} +(-14.4708 - 2.90113i) q^{36} +(-4.48523 - 1.20181i) q^{37} +(-2.43642 + 0.400367i) q^{38} +(-3.96210 + 6.86256i) q^{39} +(3.91635 + 4.96611i) q^{40} -8.69392 q^{41} +(-10.7514 + 5.45156i) q^{42} +(-5.07158 + 5.07158i) q^{43} +(-7.82917 + 2.64447i) q^{44} +(12.5912 - 10.6647i) q^{45} +(3.16804 - 4.41396i) q^{46} +(-1.06098 - 0.284288i) q^{47} +(11.9207 - 4.89561i) q^{48} +(-2.94595 + 6.34991i) q^{49} +(-7.07105 - 0.0171684i) q^{50} +(2.21623 + 3.83863i) q^{51} +(-0.314326 - 4.90921i) q^{52} +(-0.0174460 + 0.00467464i) q^{53} +(-8.22108 - 18.1808i) q^{54} +(3.11984 - 8.69644i) q^{55} +(3.67914 - 6.51643i) q^{56} +(-3.97735 - 3.97735i) q^{57} +(0.621293 + 0.234373i) q^{58} +(7.49739 + 4.32862i) q^{59} +(-3.98873 + 13.8448i) q^{60} +(-6.35322 + 3.66803i) q^{61} +(-0.341284 - 0.416496i) q^{62} +(-17.3267 - 8.99827i) q^{63} +(-4.47463 + 6.63156i) q^{64} +(4.51978 + 3.13378i) q^{65} +(-15.2940 - 10.9770i) q^{66} +(-9.92654 + 2.65981i) q^{67} +(-2.46602 - 1.22074i) q^{68} +12.3773 q^{69} +(3.15478 + 7.74902i) q^{70} -11.5695i q^{71} +(17.6995 + 11.0619i) q^{72} +(-2.03749 - 7.60400i) q^{73} +(5.33494 + 3.82906i) q^{74} +(-9.36092 - 13.1094i) q^{75} +(3.42371 + 0.686391i) q^{76} +(-10.9210 + 0.487493i) q^{77} +(8.66811 - 7.10280i) q^{78} +(3.90570 + 6.76487i) q^{79} +(-2.70323 - 8.52599i) q^{80} +(11.6585 - 20.1930i) q^{81} +(11.5038 + 4.33962i) q^{82} +(2.47207 - 2.47207i) q^{83} +(16.9473 - 1.84687i) q^{84} +(2.78215 - 1.31301i) q^{85} +(9.24220 - 4.17918i) q^{86} +(0.391520 + 1.46117i) q^{87} +(11.6795 + 0.408820i) q^{88} +(-6.00518 + 3.46709i) q^{89} +(-21.9840 + 7.82655i) q^{90} +(1.40230 - 6.35469i) q^{91} +(-6.39519 + 4.25918i) q^{92} +(0.317485 - 1.18487i) q^{93} +(1.26197 + 0.905760i) q^{94} +(-2.97901 + 2.52322i) q^{95} +(-18.2171 + 0.527562i) q^{96} +(-8.49641 - 8.49641i) q^{97} +(7.06766 - 6.93168i) q^{98} -30.4905i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

L-functions

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