LMFDB - Embedded newform 280.2.br.a.67.3

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			67.3
Character	$\chi$	$=$	280.67
Dual form			280.2.br.a.163.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38856 + 0.268130i) q^{2} +(0.262906 + 0.981180i) q^{3} +(1.85621 - 0.744631i) q^{4} +(-1.42407 - 1.72396i) q^{5} +(-0.628146 - 1.29194i) q^{6} +(0.0598247 + 2.64507i) q^{7} +(-2.37781 + 1.53167i) q^{8} +(1.70448 - 0.984083i) q^{9} +O(q^{10})$	\(q+(-1.38856 + 0.268130i) q^{2} +(0.262906 + 0.981180i) q^{3} +(1.85621 - 0.744631i) q^{4} +(-1.42407 - 1.72396i) q^{5} +(-0.628146 - 1.29194i) q^{6} +(0.0598247 + 2.64507i) q^{7} +(-2.37781 + 1.53167i) q^{8} +(1.70448 - 0.984083i) q^{9} +(2.43965 + 2.01199i) q^{10} +(-0.965766 + 1.67276i) q^{11} +(1.21863 + 1.62551i) q^{12} +(3.99556 + 3.99556i) q^{13} +(-0.792295 - 3.65681i) q^{14} +(1.31712 - 1.85051i) q^{15} +(2.89105 - 2.76439i) q^{16} +(3.56438 - 0.955073i) q^{17} +(-2.10292 + 1.82348i) q^{18} +(-2.82743 + 1.63242i) q^{19} +(-3.92708 - 2.13963i) q^{20} +(-2.57957 + 0.754106i) q^{21} +(0.892510 - 2.58168i) q^{22} +(-0.989026 + 3.69109i) q^{23} +(-2.12799 - 1.93037i) q^{24} +(-0.944072 + 4.91006i) q^{25} +(-6.61942 - 4.47676i) q^{26} +(3.56850 + 3.56850i) q^{27} +(2.08065 + 4.86527i) q^{28} -0.481491 q^{29} +(-1.33273 + 2.92270i) q^{30} +(7.77640 + 4.48971i) q^{31} +(-3.27319 + 4.61370i) q^{32} +(-1.89518 - 0.507812i) q^{33} +(-4.69328 + 2.28190i) q^{34} +(4.47481 - 3.86990i) q^{35} +(2.43110 - 3.09588i) q^{36} +(-11.5723 - 3.10079i) q^{37} +(3.48837 - 3.02484i) q^{38} +(-2.86991 + 4.97082i) q^{39} +(6.02670 + 1.91804i) q^{40} +5.57295 q^{41} +(3.37969 - 1.73878i) q^{42} +(3.60267 - 3.60267i) q^{43} +(-0.547081 + 3.82413i) q^{44} +(-4.12381 - 1.53706i) q^{45} +(0.383630 - 5.39050i) q^{46} +(2.10475 + 0.563966i) q^{47} +(3.47244 + 2.10986i) q^{48} +(-6.99284 + 0.316481i) q^{49} +(-0.00563375 - 7.07107i) q^{50} +(1.87420 + 3.24621i) q^{51} +(10.3918 + 4.44139i) q^{52} +(-0.288025 + 0.0771760i) q^{53} +(-5.91191 - 3.99827i) q^{54} +(4.25908 - 0.717173i) q^{55} +(-4.19364 - 6.19785i) q^{56} +(-2.34505 - 2.34505i) q^{57} +(0.668580 - 0.129102i) q^{58} +(-8.85729 - 5.11376i) q^{59} +(1.06691 - 4.41570i) q^{60} +(5.53023 - 3.19288i) q^{61} +(-12.0019 - 4.14915i) q^{62} +(2.70494 + 4.44961i) q^{63} +(3.30795 - 7.28405i) q^{64} +(1.19824 - 12.5781i) q^{65} +(2.76774 + 0.196974i) q^{66} +(5.04789 - 1.35258i) q^{67} +(5.90507 - 4.42697i) q^{68} -3.88165 q^{69} +(-5.17591 + 6.57342i) q^{70} -11.5490i q^{71} +(-2.54564 + 4.95067i) q^{72} +(-2.06863 - 7.72025i) q^{73} +(16.9003 + 1.20276i) q^{74} +(-5.06586 + 0.364583i) q^{75} +(-4.03277 + 5.13551i) q^{76} +(-4.48234 - 2.45445i) q^{77} +(2.65222 - 7.67181i) q^{78} +(-2.66970 - 4.62406i) q^{79} +(-8.88274 - 1.04738i) q^{80} +(0.389087 - 0.673919i) q^{81} +(-7.73840 + 1.49428i) q^{82} +(-6.00074 + 6.00074i) q^{83} +(-4.22669 + 3.32061i) q^{84} +(-6.72242 - 4.78476i) q^{85} +(-4.03655 + 5.96852i) q^{86} +(-0.126587 - 0.472429i) q^{87} +(-0.265709 - 5.45673i) q^{88} +(5.59712 - 3.23150i) q^{89} +(6.13830 + 1.02858i) q^{90} +(-10.3295 + 10.8076i) q^{91} +(0.912662 + 7.58791i) q^{92} +(-2.36075 + 8.81043i) q^{93} +(-3.07380 - 0.218755i) q^{94} +(6.84068 + 2.54971i) q^{95} +(-5.38741 - 1.99861i) q^{96} +(-0.100413 - 0.100413i) q^{97} +(9.62514 - 2.31445i) q^{98} +3.80157i 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 $

$2$	−1.38856	+	0.268130i	−0.981862	+	0.189597i
$2$	−1.38856	+	0.268130i	−0.981862	+	0.189597i
$3$	0.262906	+	0.981180i	0.151789	+	0.566485i	0.999359	+	0.0358008i	$0.0113982\pi$
$3$	0.262906	+	0.981180i	0.151789	+	0.566485i	−0.847570	+	0.530684i	$0.821935\pi$
$4$	1.85621	−	0.744631i	0.928106	−	0.372316i
$5$	−1.42407	−	1.72396i	−0.636862	−	0.770978i
$5$	−1.42407	−	1.72396i	−0.636862	−	0.770978i
$6$	−0.628146	−	1.29194i	−0.256440	−	0.527431i
$7$	0.0598247	+	2.64507i	0.0226116	+	0.999744i
$7$	0.0598247	+	2.64507i	0.0226116	+	0.999744i
$8$	−2.37781	+	1.53167i	−0.840682	+	0.541528i
$9$	1.70448	−	0.984083i	0.568161	−	0.328028i
$10$	2.43965	+	2.01199i	0.771485	+	0.636247i
$11$	−0.965766	+	1.67276i	−0.291189	+	0.504355i	−0.974091	−	0.226155i	$-0.927384\pi$
$11$	−0.965766	+	1.67276i	−0.291189	+	0.504355i	0.682902	+	0.730510i	$0.260718\pi$
$12$	1.21863	+	1.62551i	0.351787	+	0.469244i
$13$	3.99556	+	3.99556i	1.10817	+	1.10817i	0.993391	+	0.114778i	$0.0366157\pi$
$13$	3.99556	+	3.99556i	1.10817	+	1.10817i	0.114778	+	0.993391i	$0.463384\pi$
$14$	−0.792295	−	3.65681i	−0.211750	−	0.977324i
$15$	1.31712	−	1.85051i	0.340079	−	0.477798i
$16$	2.89105	−	2.76439i	0.722762	−	0.691097i
$17$	3.56438	−	0.955073i	0.864490	−	0.231639i	0.200786	−	0.979635i	$-0.435650\pi$
$17$	3.56438	−	0.955073i	0.864490	−	0.231639i	0.663704	+	0.747996i	$0.268984\pi$
$18$	−2.10292	+	1.82348i	−0.495662	+	0.429799i
$19$	−2.82743	+	1.63242i	−0.648658	+	0.374503i	−0.787942	−	0.615750i	$-0.788853\pi$
$19$	−2.82743	+	1.63242i	−0.648658	+	0.374503i	0.139284	+	0.990252i	$0.455520\pi$
$20$	−3.92708	−	2.13963i	−0.878122	−	0.478436i
$21$	−2.57957	+	0.754106i	−0.562908	+	0.164559i
$22$	0.892510	−	2.58168i	0.190284	−	0.550415i
$23$	−0.989026	+	3.69109i	−0.206226	+	0.769646i	0.782846	+	0.622215i	$0.213767\pi$
$23$	−0.989026	+	3.69109i	−0.206226	+	0.769646i	−0.989072	+	0.147431i	$0.952900\pi$
$24$	−2.12799	−	1.93037i	−0.434374	−	0.394036i
$25$	−0.944072	+	4.91006i	−0.188814	+	0.982013i
$26$	−6.61942	−	4.47676i	−1.29817	−	0.877964i
$27$	3.56850	+	3.56850i	0.686759	+	0.686759i
$28$	2.08065	+	4.86527i	0.393206	+	0.919450i
$29$	−0.481491			−0.0894106			−0.0447053	−	0.999000i	$-0.514235\pi$
$29$	−0.481491			−0.0894106			−0.0447053	+	0.999000i	$0.514235\pi$
$30$	−1.33273	+	2.92270i	−0.243321	+	0.533610i
$31$	7.77640	+	4.48971i	1.39668	+	0.806376i	0.994044	−	0.108983i	$-0.0347594\pi$
$31$	7.77640	+	4.48971i	1.39668	+	0.806376i	0.402640	+	0.915358i	$0.368093\pi$
$32$	−3.27319	+	4.61370i	−0.578623	+	0.815595i
$33$	−1.89518	−	0.507812i	−0.329909	−	0.0883987i
$34$	−4.69328	+	2.28190i	−0.804892	+	0.391342i
$35$	4.47481	−	3.86990i	0.756380	−	0.654132i
$36$	2.43110	−	3.09588i	0.405183	−	0.515980i
$37$	−11.5723	−	3.10079i	−1.90247	−	0.509766i	−0.996202	−	0.0870708i	$-0.972249\pi$
$37$	−11.5723	−	3.10079i	−1.90247	−	0.509766i	−0.906272	−	0.422696i	$-0.861084\pi$
$38$	3.48837	−	3.02484i	0.565888	−	0.490694i
$39$	−2.86991	+	4.97082i	−0.459553	+	0.795969i
$40$	6.02670	+	1.91804i	0.952905	+	0.303269i
$41$	5.57295			0.870349			0.435175	−	0.900346i	$-0.356687\pi$
$41$	5.57295			0.870349			0.435175	+	0.900346i	$0.356687\pi$
$42$	3.37969	−	1.73878i	0.521498	−	0.268300i
$43$	3.60267	−	3.60267i	0.549402	−	0.549402i	−0.376866	−	0.926268i	$-0.622998\pi$
$43$	3.60267	−	3.60267i	0.549402	−	0.549402i	0.926268	+	0.376866i	$0.122998\pi$
$44$	−0.547081	+	3.82413i	−0.0824755	+	0.576509i
$45$	−4.12381	−	1.53706i	−0.614742	−	0.229131i
$46$	0.383630	−	5.39050i	0.0565632	−	0.794786i
$47$	2.10475	+	0.563966i	0.307010	+	0.0822630i	0.409035	−	0.912519i	$-0.365866\pi$
$47$	2.10475	+	0.563966i	0.307010	+	0.0822630i	−0.102025	+	0.994782i	$0.532532\pi$
$48$	3.47244	+	2.10986i	0.501203	+	0.304533i
$49$	−6.99284	+	0.316481i	−0.998977	+	0.0452116i
$50$	−0.00563375	−	7.07107i	−0.000796733	−	1.00000i
$51$	1.87420	+	3.24621i	0.262440	+	0.454560i
$52$	10.3918	+	4.44139i	1.44109	+	0.615910i
$53$	−0.288025	+	0.0771760i	−0.0395633	+	0.0106009i	−0.278546	−	0.960423i	$-0.589853\pi$
$53$	−0.288025	+	0.0771760i	−0.0395633	+	0.0106009i	0.238983	+	0.971024i	$0.423186\pi$
$54$	−5.91191	−	3.99827i	−0.804509	−	0.544095i
$55$	4.25908	−	0.717173i	0.574294	−	0.0967036i
$56$	−4.19364	−	6.19785i	−0.560399	−	0.828223i
$57$	−2.34505	−	2.34505i	−0.310609	−	0.310609i
$58$	0.668580	−	0.129102i	0.0877888	−	0.0169519i
$59$	−8.85729	−	5.11376i	−1.15312	−	0.665754i	−0.203475	−	0.979080i	$-0.565224\pi$
$59$	−8.85729	−	5.11376i	−1.15312	−	0.665754i	−0.949646	+	0.313326i	$0.898557\pi$
$60$	1.06691	−	4.41570i	0.137737	−	0.570064i
$61$	5.53023	−	3.19288i	0.708073	−	0.408806i	−0.102274	−	0.994756i	$-0.532612\pi$
$61$	5.53023	−	3.19288i	0.708073	−	0.408806i	0.810347	+	0.585950i	$0.199279\pi$
$62$	−12.0019	−	4.14915i	−1.52424	−	0.526943i
$63$	2.70494	+	4.44961i	0.340791	+	0.560598i
$64$	3.30795	−	7.28405i	0.413494	−	0.910507i
$65$	1.19824	−	12.5781i	0.148624	−	1.56012i
$66$	2.76774	+	0.196974i	0.340685	+	0.0242458i
$67$	5.04789	−	1.35258i	0.616698	−	0.165244i	0.0630715	−	0.998009i	$-0.479910\pi$
$67$	5.04789	−	1.35258i	0.616698	−	0.165244i	0.553626	+	0.832765i	$0.313244\pi$
$68$	5.90507	−	4.42697i	0.716095	−	0.536849i
$69$	−3.88165			−0.467296
$70$	−5.17591	+	6.57342i	−0.618640	+	0.785675i
$71$		−	11.5490i		−	1.37061i	−0.728254	−	0.685307i	$-0.759668\pi$
$71$		−	11.5490i		−	1.37061i	0.728254	−	0.685307i	$-0.240332\pi$
$72$	−2.54564	+	4.95067i	−0.300006	+	0.583442i
$73$	−2.06863	−	7.72025i	−0.242115	−	0.903587i	−0.974811	−	0.223031i	$-0.928405\pi$
$73$	−2.06863	−	7.72025i	−0.242115	−	0.903587i	0.732696	−	0.680556i	$-0.238262\pi$
$74$	16.9003	+	1.20276i	1.96462	+	0.139817i
$75$	−5.06586	+	0.364583i	−0.584955	+	0.0420984i
$76$	−4.03277	+	5.13551i	−0.462590	+	0.589084i
$77$	−4.48234	−	2.45445i	−0.510810	−	0.279711i
$78$	2.65222	−	7.67181i	0.300304	−	0.868661i
$79$	−2.66970	−	4.62406i	−0.300365	−	0.520247i	0.675854	−	0.737036i	$-0.263775\pi$
$79$	−2.66970	−	4.62406i	−0.300365	−	0.520247i	−0.976219	+	0.216789i	$0.930442\pi$
$80$	−8.88274	−	1.04738i	−0.993120	−	0.117101i
$81$	0.389087	−	0.673919i	0.0432319	−	0.0748798i
$82$	−7.73840	+	1.49428i	−0.854563	+	0.165015i
$83$	−6.00074	+	6.00074i	−0.658667	+	0.658667i	−0.955065	−	0.296398i	$-0.904215\pi$
$83$	−6.00074	+	6.00074i	−0.658667	+	0.658667i	0.296398	+	0.955065i	$0.404215\pi$
$84$	−4.22669	+	3.32061i	−0.461170	+	0.362308i
$85$	−6.72242	−	4.78476i	−0.729149	−	0.518980i
$86$	−4.03655	+	5.96852i	−0.435272	+	0.643602i
$87$	−0.126587	−	0.472429i	−0.0135715	−	0.0506497i
$88$	−0.265709	−	5.45673i	−0.0283247	−	0.581690i
$89$	5.59712	−	3.23150i	0.593293	−	0.342538i	−0.173105	−	0.984903i	$-0.555380\pi$
$89$	5.59712	−	3.23150i	0.593293	−	0.342538i	0.766399	+	0.642365i	$0.222047\pi$
$90$	6.13830	+	1.02858i	0.647034	+	0.108422i
$91$	−10.3295	+	10.8076i	−1.08283	+	1.13294i
$92$	0.912662	+	7.58791i	0.0951516	+	0.791095i
$93$	−2.36075	+	8.81043i	−0.244798	+	0.913599i
$94$	−3.07380	−	0.218755i	−0.317038	−	0.0225629i
$95$	6.84068	+	2.54971i	0.701839	+	0.261595i
$96$	−5.38741	−	1.99861i	−0.549851	−	0.203983i
$97$	−0.100413	−	0.100413i	−0.0101954	−	0.0101954i	0.701991	−	0.712186i	$-0.252295\pi$
$97$	−0.100413	−	0.100413i	−0.0101954	−	0.0101954i	−0.712186	+	0.701991i	$0.752295\pi$
$98$	9.62514	−	2.31445i	0.972286	−	0.233794i
$99$			3.80157i			0.382073i
$100$	1.90379	+	9.81711i	0.190379	+	0.981711i
$101$	5.86150	+	3.38414i	0.583241	+	0.336735i	0.762421	−	0.647082i	$-0.224011\pi$
$101$	5.86150	+	3.38414i	0.583241	+	0.336735i	−0.179179	+	0.983816i	$0.557344\pi$
$102$	−3.47285	−	4.00503i	−0.343863	−	0.396557i
$103$	0.861715	−	3.21596i	0.0849073	−	0.316878i	−0.910389	−	0.413753i	$-0.864218\pi$
$103$	0.861715	−	3.21596i	0.0849073	−	0.316878i	0.995297	+	0.0968744i	$0.0308845\pi$
$104$	−15.6206	−	3.38079i	−1.53172	−	0.331513i
$105$	4.97352	+	3.37317i	0.485366	+	0.329188i
$106$	0.379247	−	0.184392i	0.0368358	−	0.0179097i
$107$	3.23386	−	12.0689i	0.312629	−	1.16675i	−0.613547	−	0.789658i	$-0.710258\pi$
$107$	3.23386	−	12.0689i	0.312629	−	1.16675i	0.926176	−	0.377091i	$-0.123076\pi$
$108$	9.28112	+	3.96668i	0.893076	+	0.381694i
$109$	2.62989	−	4.55510i	0.251897	−	0.436299i	−0.712151	−	0.702027i	$-0.752279\pi$
$109$	2.62989	−	4.55510i	0.251897	−	0.436299i	0.964048	+	0.265727i	$0.0856121\pi$
$110$	−5.72170	+	2.13783i	−0.545543	+	0.203834i
$111$		−	12.1697i		−	1.15510i
$112$	7.48497	+	7.48166i	0.707263	+	0.706951i
$113$	−7.11155	+	7.11155i	−0.668998	+	0.668998i	−0.957484	−	0.288486i	$-0.906848\pi$
$113$	−7.11155	+	7.11155i	−0.668998	+	0.668998i	0.288486	+	0.957484i	$0.406848\pi$
$114$	3.88503	+	2.62747i	0.363866	+	0.246085i
$115$	7.77173	−	3.55132i	0.724718	−	0.331162i
$116$	−0.893749	+	0.358533i	−0.0829825	+	0.0332889i
$117$	10.7423	+	2.87840i	0.993128	+	0.266108i
$118$	13.6701	+	4.72587i	1.25843	+	0.435051i
$119$	2.73948	+	9.37092i	0.251128	+	0.859031i
$120$	−0.297486	+	6.41754i	−0.0271566	+	0.585839i
$121$	3.63459	+	6.29530i	0.330418	+	0.572300i
$122$	−6.82296	+	5.91633i	−0.617722	+	0.535639i
$123$	1.46517	+	5.46807i	0.132110	+	0.493039i
$124$	17.7778	+	2.54330i	1.59650	+	0.228395i
$125$	9.80917	−	5.36471i	0.877359	−	0.479835i
$126$	−4.94906	−	5.45328i	−0.440897	−	0.485817i
$127$	4.45753	−	4.45753i	0.395542	−	0.395542i	−0.481116	−	0.876657i	$-0.659768\pi$
$127$	4.45753	−	4.45753i	0.395542	−	0.395542i	0.876657	+	0.481116i	$0.159768\pi$
$128$	−2.64022	+	11.0013i	−0.233365	+	0.972389i
$129$	4.48203	+	2.58770i	0.394621	+	0.227835i
$130$	1.70874	+	17.7868i	0.149867	+	1.56001i
$131$	2.02710	+	3.51104i	0.177108	+	0.306761i	0.940889	−	0.338715i	$-0.109992\pi$
$131$	2.02710	+	3.51104i	0.177108	+	0.306761i	−0.763780	+	0.645476i	$0.776659\pi$
$132$	−3.89599	+	0.468603i	−0.339102	+	0.0407867i
$133$	−4.48702	−	7.38112i	−0.389074	−	0.640024i
$134$	−6.64664	+	3.23163i	−0.574182	+	0.279170i
$135$	1.07017	−	11.2337i	0.0921056	−	0.966846i
$136$	−7.01256	+	7.73045i	−0.601322	+	0.662881i
$137$	−22.3440	+	5.98706i	−1.90898	+	0.511509i	−0.914780	+	0.403952i	$0.867636\pi$
$137$	−22.3440	+	5.98706i	−1.90898	+	0.511509i	−0.994199	+	0.107557i	$0.965697\pi$
$138$	5.38991	−	1.04079i	0.458820	−	0.0885977i
$139$			14.7467i			1.25079i	0.780306	+	0.625397i	$0.215063\pi$
$139$			14.7467i			1.25079i	−0.780306	+	0.625397i	$0.784937\pi$
$140$	5.42455	−	10.5154i	0.458458	−	0.888716i
$141$			2.21341i			0.186403i
$142$	3.09664	+	16.0365i	0.259864	+	1.34575i
$143$	−10.5424	+	2.82482i	−0.881598	+	0.236223i
$144$	2.20735	−	7.55688i	0.183946	−	0.629740i
$145$	0.685674	+	0.830070i	0.0569422	+	0.0689336i
$146$	4.94246	+	10.1654i	0.409041	+	0.841293i
$147$	−2.14899	−	6.77803i	−0.177246	−	0.559043i
$148$	−23.7896	+	2.86137i	−1.95549	+	0.235203i
$149$	2.74995	+	4.76305i	0.225285	+	0.390205i	0.956405	−	0.292044i	$-0.0943354\pi$
$149$	2.74995	+	4.76305i	0.225285	+	0.390205i	−0.731120	+	0.682249i	$0.761002\pi$
$150$	6.93651	−	1.86456i	0.566363	−	0.152240i
$151$	2.03352	+	1.17405i	0.165485	+	0.0955431i	0.580455	−	0.814292i	$-0.302875\pi$
$151$	2.03352	+	1.17405i	0.165485	+	0.0955431i	−0.414970	+	0.909835i	$0.636208\pi$
$152$	4.22276	−	8.21229i	0.342511	−	0.666105i
$153$	5.13555	−	5.13555i	0.415185	−	0.415185i
$154$	6.88212	+	2.20631i	0.554577	+	0.177789i
$155$	−3.33404	−	19.7998i	−0.267796	−	1.59036i
$156$	−1.62573	+	11.3639i	−0.130162	+	0.909842i
$157$	−1.63594	−	6.10540i	−0.130562	−	0.487264i	0.869415	−	0.494083i	$-0.164496\pi$
$157$	−1.63594	−	6.10540i	−0.130562	−	0.487264i	−0.999977	+	0.00681883i	$0.997829\pi$
$158$	4.94690	+	5.70497i	0.393554	+	0.453863i
$159$	−0.151447	−	0.262314i	−0.0120105	−	0.0208029i
$160$	12.6151	−	0.927376i	0.997309	−	0.0733155i
$161$	−9.82239	−	2.39523i	−0.774113	−	0.188770i
$162$	−0.359574	+	1.04010i	−0.0282508	+	0.0817183i
$163$	−16.5481	−	4.43405i	−1.29615	−	0.347302i	−0.456155	−	0.889900i	$-0.650774\pi$
$163$	−16.5481	−	4.43405i	−1.29615	−	0.347302i	−0.839992	+	0.542599i	$0.817440\pi$
$164$	10.3446	−	4.14980i	0.807777	−	0.324045i
$165$	1.82341	+	3.99037i	0.141953	+	0.310650i
$166$	6.72343	−	9.94139i	0.521839	−	0.771601i
$167$	−11.0731	+	11.0731i	−0.856861	+	0.856861i	−0.990967	−	0.134106i	$-0.957184\pi$
$167$	−11.0731	+	11.0731i	−0.856861	+	0.856861i	0.134106	+	0.990967i	$0.457184\pi$
$168$	4.97867	−	5.74417i	0.384113	−	0.443173i
$169$			18.9290i			1.45608i
$170$	10.6174	+	4.84146i	0.814321	+	0.371323i
$171$	−3.21287	+	5.56486i	−0.245695	+	0.425556i
$172$	4.00466	−	9.36998i	0.305352	−	0.714454i
$173$	0.561669	−	2.09618i	0.0427029	−	0.159369i	−0.941282	−	0.337622i	$-0.890378\pi$
$173$	0.561669	−	2.09618i	0.0427029	−	0.159369i	0.983985	+	0.178252i	$0.0570443\pi$
$174$	0.302446	+	0.622055i	0.0229284	+	0.0471579i
$175$	−13.0440	−	2.20340i	−0.986031	−	0.166561i
$176$	1.83207	+	7.50577i	0.138097	+	0.565769i
$177$	2.68888	−	10.0350i	0.202109	−	0.754279i
$178$	−6.90549	+	5.98789i	−0.517588	+	0.448812i
$179$	−0.701673	−	0.405111i	−0.0524455	−	0.0302794i	0.473548	−	0.880768i	$-0.342973\pi$
$179$	−0.701673	−	0.405111i	−0.0524455	−	0.0302794i	−0.525993	+	0.850489i	$0.676306\pi$
$180$	−8.79921	+	0.217614i	−0.655855	+	0.0162200i
$181$		−	10.1575i		−	0.755002i	−0.926009	−	0.377501i	$-0.876783\pi$
$181$		−	10.1575i		−	0.755002i	0.926009	−	0.377501i	$-0.123217\pi$
$182$	11.4454	−	17.7767i	0.848386	−	1.31769i
$183$	4.58672	+	4.58672i	0.339060	+	0.339060i
$184$	−3.30184	−	10.2916i	−0.243415	−	0.758705i
$185$	11.1341	+	24.3659i	0.818594	+	1.79142i
$186$	0.915703	−	12.8668i	0.0671426	−	0.943441i
$187$	−1.84475	+	6.88472i	−0.134902	+	0.503460i
$188$	4.32681	−	0.520422i	0.315565	−	0.0379557i
$189$	−9.22547	+	9.65244i	−0.671054	+	0.702112i
$190$	−10.1824	−	1.70624i	−0.738707	−	0.123783i
$191$	−14.0147	+	8.09139i	−1.01407	+	0.585472i	−0.912380	−	0.409344i	$-0.865758\pi$
$191$	−14.0147	+	8.09139i	−1.01407	+	0.585472i	−0.101688	+	0.994816i	$0.532424\pi$
$192$	8.01665	+	1.33067i	0.578552	+	0.0960329i
$193$	−6.61134	−	24.6739i	−0.475895	−	1.77606i	−0.617964	−	0.786206i	$-0.712042\pi$
$193$	−6.61134	−	24.6739i	−0.475895	−	1.77606i	0.142070	−	0.989857i	$-0.454624\pi$
$194$	0.166353	+	0.112506i	0.0119434	+	0.00807743i
$195$	12.6564	−	2.13118i	0.906346	−	0.152617i
$196$	−12.7445	+	5.79454i	−0.910324	+	0.413896i
$197$	5.70268	−	5.70268i	0.406299	−	0.406299i	−0.474147	−	0.880446i	$-0.657243\pi$
$197$	5.70268	−	5.70268i	0.406299	−	0.406299i	0.880446	+	0.474147i	$0.157243\pi$
$198$	−1.01932	−	5.27872i	−0.0724397	−	0.375143i
$199$	9.49604	−	16.4476i	0.673157	−	1.16594i	−0.303847	−	0.952721i	$-0.598271\pi$
$199$	9.49604	−	16.4476i	0.673157	−	1.16594i	0.977004	−	0.213221i	$-0.0683954\pi$
$200$	−5.27579	−	13.1212i	−0.373055	−	0.927809i
$201$	2.65424	+	4.59728i	0.187216	+	0.324267i
$202$	−9.04646	−	3.12745i	−0.636506	−	0.220046i
$203$	−0.0288050	−	1.27358i	−0.00202171	−	0.0893877i
$204$	5.89614	+	4.63006i	0.412812	+	0.324169i
$205$	−7.93625	−	9.60755i	−0.554292	−	0.671020i
$206$	−0.334248	+	4.69662i	−0.0232882	+	0.327229i
$207$	1.94657	+	7.26468i	0.135296	+	0.504930i
$208$	22.5966	+	0.506084i	1.56680	+	0.0350906i
$209$		−	6.30614i		−	0.436205i
$210$	−7.81049	−	3.35031i	−0.538975	−	0.231193i
$211$	−0.587454			−0.0404420			−0.0202210	−	0.999796i	$-0.506437\pi$
$211$	−0.587454			−0.0404420			−0.0202210	+	0.999796i	$0.506437\pi$
$212$	−0.477168	+	0.357727i	−0.0327720	+	0.0245688i
$213$	11.3316	−	3.03631i	0.776432	−	0.208044i
$214$	−1.25437	+	17.6256i	−0.0857473	+	1.20486i
$215$	−11.3413	−	1.08042i	−0.773470	−	0.0736838i
$216$	−13.9510	−	3.01944i	−0.949245	−	0.205447i
$217$	−11.4104	+	20.8378i	−0.774588	+	1.41456i
$218$	−2.43040	+	7.03019i	−0.164608	+	0.476145i
$219$	7.03110	−	4.05941i	0.475117	−	0.274309i
$220$	7.37172	−	4.50267i	0.497001	−	0.303570i
$221$	18.0578	+	10.4257i	1.21470	+	0.701305i
$222$	3.26307	+	16.8984i	0.219003	+	1.13415i
$223$	−4.86327	−	4.86327i	−0.325669	−	0.325669i	0.525268	−	0.850937i	$-0.323965\pi$
$223$	−4.86327	−	4.86327i	−0.325669	−	0.325669i	−0.850937	+	0.525268i	$0.823965\pi$
$224$	−12.3994	−	8.38181i	−0.828470	−	0.560033i
$225$	3.22276	+	9.29816i	0.214850	+	0.619877i
$226$	7.96801	−	11.7816i	0.530024	−	0.783704i
$227$	17.9201	−	4.80167i	1.18940	−	0.318698i	0.390749	−	0.920497i	$-0.372216\pi$
$227$	17.9201	−	4.80167i	1.18940	−	0.318698i	0.798647	+	0.601799i	$0.205549\pi$
$228$	−6.09911	−	2.60671i	−0.403923	−	0.172634i
$229$	9.71686	+	16.8301i	0.642108	+	1.11216i	0.984961	+	0.172775i	$0.0552732\pi$
$229$	9.71686	+	16.8301i	0.642108	+	1.11216i	−0.342854	+	0.939389i	$0.611393\pi$
$230$	−9.83932	+	7.01507i	−0.648786	+	0.462560i
$231$	1.22982	−	5.04327i	0.0809164	−	0.331823i
$232$	1.14489	−	0.737486i	0.0751659	−	0.0484184i
$233$	5.27691	+	1.41394i	0.345702	+	0.0926305i	0.427492	−	0.904019i	$-0.359397\pi$
$233$	5.27691	+	1.41394i	0.345702	+	0.0926305i	−0.0817905	+	0.996650i	$0.526064\pi$
$234$	−15.6882	−	1.11649i	−1.02557	−	0.0729874i
$235$	−2.02505	−	4.43163i	−0.132100	−	0.289088i
$236$	−20.2489	−	2.89681i	−1.31809	−	0.188566i
$237$	3.83515	−	3.83515i	0.249120	−	0.249120i
$238$	−6.31656	−	12.2776i	−0.409442	−	0.795837i
$239$	−3.64917			−0.236045			−0.118022	−	0.993011i	$-0.537655\pi$
$239$	−3.64917			−0.236045			−0.118022	+	0.993011i	$0.537655\pi$
$240$	−1.30766	−	8.99093i	−0.0844090	−	0.580362i
$241$	7.44323	−	12.8921i	0.479461	−	0.830450i	−0.520262	−	0.854007i	$-0.674166\pi$
$241$	7.44323	−	12.8921i	0.479461	−	0.830450i	0.999723	+	0.0235566i	$0.00749900\pi$
$242$	−6.73482	−	7.76687i	−0.432931	−	0.499273i
$243$	15.3875	+	4.12307i	0.987110	+	0.264495i
$244$	7.88776	−	10.0446i	0.504962	−	0.643042i
$245$	10.5039	+	11.6047i	0.671068	+	0.741396i
$246$	−3.50063	−	7.19991i	−0.223192	−	0.459049i
$247$	−17.8196	−	4.77475i	−1.13384	−	0.303810i
$248$	−25.3676	+	1.23524i	−1.61084	+	0.0784380i
$249$	−7.46544	−	4.31017i	−0.473103	−	0.273146i
$250$	−12.1822	+	10.0794i	−0.770470	+	0.637476i
$251$	1.97410			0.124604			0.0623020	−	0.998057i	$-0.480156\pi$
$251$	1.97410			0.124604			0.0623020	+	0.998057i	$0.480156\pi$
$252$	8.33427	+	6.24523i	0.525009	+	0.393413i
$253$	−5.21913	−	5.21913i	−0.328124	−	0.328124i
$254$	−4.99436	+	7.38476i	−0.313374	+	0.463361i
$255$	2.92735	−	7.85385i	0.183318	−	0.491827i
$256$	0.716326	−	15.9840i	0.0447704	−	0.998997i
$257$	2.90063	−	10.8253i	0.180937	−	0.675264i	−0.814527	−	0.580125i	$-0.803004\pi$
$257$	2.90063	−	10.8253i	0.180937	−	0.675264i	0.995464	−	0.0951393i	$-0.0303297\pi$
$258$	−6.91742	−	2.39142i	−0.430660	−	0.148883i
$259$	7.50951	−	30.7951i	0.466618	−	1.91351i
$260$	−7.14187	−	24.2399i	−0.442920	−	1.50330i
$261$	−0.820692	+	0.473827i	−0.0507995	+	0.0293291i
$262$	−3.75617	−	4.33177i	−0.232057	−	0.267618i
$263$	−14.9190	+	3.99754i	−0.919947	+	0.246499i	−0.687563	−	0.726125i	$-0.741319\pi$
$263$	−14.9190	+	3.99754i	−0.919947	+	0.246499i	−0.232384	+	0.972624i	$0.574653\pi$
$264$	5.28418	−	1.69532i	0.325219	−	0.104340i
$265$	0.543215	+	0.386639i	0.0333694	+	0.0237511i
$266$	8.20961	+	9.04604i	0.503364	+	0.554648i
$267$	4.64220	+	4.64220i	0.284098	+	0.284098i
$268$	8.36278	−	6.26948i	0.510838	−	0.382970i
$269$	−4.55995	+	7.89807i	−0.278025	+	0.481554i	−0.970894	−	0.239510i	$-0.923013\pi$
$269$	−4.55995	+	7.89807i	−0.278025	+	0.481554i	0.692869	+	0.721064i	$0.256347\pi$
$270$	1.52611	+	15.8857i	0.0928759	+	0.966772i
$271$	−3.25422	+	1.87883i	−0.197680	+	0.114131i	−0.595573	−	0.803301i	$-0.703075\pi$
$271$	−3.25422	+	1.87883i	−0.197680	+	0.114131i	0.397893	+	0.917432i	$0.369742\pi$
$272$	7.66461	−	12.6145i	0.464735	−	0.764866i
$273$	−13.3199	−	7.29374i	−0.806157	−	0.441437i
$274$	29.4208	−	14.3045i	1.77737	−	0.864168i
$275$	−7.30158	−	6.32117i	−0.440302	−	0.381181i
$276$	−7.20517	+	2.89040i	−0.433700	+	0.173981i
$277$	−0.714147	−	2.66523i	−0.0429089	−	0.160138i	0.941147	−	0.337997i	$-0.109750\pi$
$277$	−0.714147	−	2.66523i	−0.0429089	−	0.160138i	−0.984056	+	0.177859i	$0.943083\pi$
$278$	−3.95402	−	20.4767i	−0.237147	−	1.22811i
$279$	17.6730			1.05805
$280$	−4.71282	+	16.0558i	−0.281645	+	0.959519i
$281$	28.8314			1.71993			0.859967	−	0.510349i	$-0.170484\pi$
$281$	28.8314			1.71993			0.859967	+	0.510349i	$0.170484\pi$
$282$	−0.593482	−	3.07346i	−0.0353414	−	0.183022i
$283$	−1.50890	−	5.63129i	−0.0896948	−	0.334745i	0.906467	−	0.422277i	$-0.138769\pi$
$283$	−1.50890	−	5.63129i	−0.0896948	−	0.334745i	−0.996162	+	0.0875312i	$0.972102\pi$
$284$	−8.59975	−	21.4374i	−0.510301	−	1.27208i
$285$	−0.703265	+	7.38227i	−0.0416578	+	0.437288i
$286$	13.8813	−	6.74917i	0.820820	−	0.399087i
$287$	0.333400	+	14.7409i	0.0196800	+	0.870127i
$288$	−1.03882	+	11.0851i	−0.0612131	+	0.653193i
$289$	−2.92978	+	1.69151i	−0.172340	+	0.0995004i
$290$	−1.17467	−	0.968754i	−0.0689789	−	0.0568872i
$291$	0.0721238	−	0.124922i	0.00422797	−	0.00732306i
$292$	−9.58856	−	12.7901i	−0.561128	−	0.748481i
$293$	11.8205	+	11.8205i	0.690561	+	0.690561i	0.962355	−	0.271794i	$-0.0876170\pi$
$293$	11.8205	+	11.8205i	0.690561	+	0.690561i	−0.271794	+	0.962355i	$0.587617\pi$
$294$	4.80140	+	8.83551i	0.280023	+	0.515298i
$295$	3.79745	+	22.5519i	0.221096	+	1.31302i
$296$	32.2661	−	10.3519i	1.87543	−	0.601692i
$297$	−9.41557	+	2.52289i	−0.546347	+	0.146393i
$298$	−5.09560	−	5.87645i	−0.295180	−	0.340414i
$299$	−18.6997	+	10.7963i	−1.08143	+	0.624365i
$300$	−9.13183	+	4.44894i	−0.527227	+	0.256860i
$301$	9.74486	+	9.31380i	0.561684	+	0.536839i
$302$	−3.13847	−	1.08500i	−0.180599	−	0.0624346i
$303$	−1.77942	+	6.64090i	−0.102225	+	0.381510i
$304$	−3.66161	+	12.5355i	−0.210008	+	0.718962i
$305$	−13.3798	−	4.98702i	−0.766125	−	0.285556i
$306$	−5.75404	+	8.50803i	−0.328937	+	0.486372i
$307$	8.23648	+	8.23648i	0.470081	+	0.470081i	0.901941	−	0.431860i	$-0.142143\pi$
$307$	8.23648	+	8.23648i	0.470081	+	0.470081i	−0.431860	+	0.901941i	$0.642143\pi$
$308$	−10.1478	−	1.21829i	−0.578227	−	0.0694186i
$309$	3.38199			0.192395
$310$	9.93846	+	26.5994i	0.564466	+	1.51074i
$311$	−5.24979	−	3.03097i	−0.297688	−	0.171870i	0.343716	−	0.939074i	$-0.388314\pi$
$311$	−5.24979	−	3.03097i	−0.297688	−	0.171870i	−0.641404	+	0.767203i	$0.721648\pi$
$312$	−0.789590	−	16.2154i	−0.0447018	−	0.918018i
$313$	23.5220	+	6.30271i	1.32954	+	0.356250i	0.852545	−	0.522654i	$-0.175058\pi$
$313$	23.5220	+	6.30271i	1.32954	+	0.356250i	0.476998	+	0.878904i	$0.341725\pi$
$314$	3.90865	+	8.03909i	0.220578	+	0.453672i
$315$	3.81893	−	10.9997i	0.215172	−	0.619766i
$316$	−8.39875	−	6.59529i	−0.472467	−	0.371014i
$317$	31.1038	+	8.33425i	1.74697	+	0.468098i	0.983974	−	0.178311i	$-0.0570632\pi$
$317$	31.1038	+	8.33425i	1.74697	+	0.468098i	0.762991	+	0.646409i	$0.223730\pi$
$318$	0.280628	+	0.323632i	0.0157369	+	0.0181484i
$319$	0.465007	−	0.805416i	0.0260354	−	0.0450946i
$320$	−17.2682	+	4.67020i	−0.965319	+	0.261072i
$321$	12.6920			0.708399
$322$	14.2812	+	0.692246i	0.795862	+	0.0385773i
$323$	−8.51898	+	8.51898i	−0.474009	+	0.474009i
$324$	0.220407	−	1.54066i	0.0122449	−	0.0855923i
$325$	−23.3906	+	15.8464i	−1.29747	+	0.878998i
$326$	24.1670	+	1.71991i	1.33848	+	0.0952570i
$327$	5.16079	+	1.38283i	0.285392	+	0.0764706i
$328$	−13.2514	+	8.53595i	−0.731687	+	0.471319i
$329$	−1.36582	+	5.60096i	−0.0753000	+	0.308791i
$330$	−3.60187	−	5.05197i	−0.198276	−	0.278102i
$331$	3.22316	+	5.58267i	0.177161	+	0.306851i	0.940907	−	0.338665i	$-0.109975\pi$
$331$	3.22316	+	5.58267i	0.177161	+	0.306851i	−0.763746	+	0.645517i	$0.776642\pi$
$332$	−6.67031	+	15.6070i	−0.366081	+	0.856545i
$333$	−22.7762	+	6.10286i	−1.24813	+	0.334435i
$334$	12.4066	−	18.3447i	0.678862	−	1.00378i
$335$	−9.52031	−	6.77619i	−0.520150	−	0.370223i
$336$	−5.37301	+	9.31108i	−0.293122	+	0.507961i
$337$	−10.0837	−	10.0837i	−0.549296	−	0.549296i	0.376941	−	0.926237i	$-0.376976\pi$
$337$	−10.0837	−	10.0837i	−0.549296	−	0.549296i	−0.926237	+	0.376941i	$0.876976\pi$
$338$	−5.07544	−	26.2841i	−0.276068	−	1.42967i
$339$	−8.84738	−	5.10804i	−0.480524	−	0.277430i
$340$	−16.0411	−	3.87581i	−0.869952	−	0.210195i
$341$	−15.0204	+	8.67202i	−0.813399	+	0.469616i
$342$	2.96917	−	8.58863i	0.160554	−	0.464420i
$343$	−1.25546	−	18.4777i	−0.0677885	−	0.997700i
$344$	−3.04835	+	14.0846i	−0.164356	+	0.759389i
$345$	5.52772	+	6.69181i	0.297603	+	0.360275i
$346$	−0.217864	+	3.06128i	−0.0117125	+	0.164575i
$347$	25.6932	−	6.88448i	1.37928	−	0.369578i	0.508423	−	0.861107i	$-0.330229\pi$
$347$	25.6932	−	6.88448i	1.37928	−	0.369578i	0.870861	+	0.491529i	$0.163562\pi$
$348$	−0.586758	−	0.782668i	−0.0314535	−	0.0419554i
$349$	−0.517693			−0.0277115			−0.0138557	−	0.999904i	$-0.504411\pi$
$349$	−0.517693			−0.0277115			−0.0138557	+	0.999904i	$0.504411\pi$
$350$	18.7032	−	0.437926i	0.999726	−	0.0234081i
$351$			28.5163i			1.52209i
$352$	−4.55646	−	9.93100i	−0.242860	−	0.529324i
$353$	−0.520578	−	1.94282i	−0.0277076	−	0.103406i	0.950687	−	0.310151i	$-0.100380\pi$
$353$	−0.520578	−	1.94282i	−0.0277076	−	0.103406i	−0.978395	+	0.206745i	$0.933713\pi$
$354$	−1.04298	+	14.6552i	−0.0554338	+	0.778917i
$355$	−19.9100	+	16.4465i	−1.05671	+	0.872892i
$356$	7.98317	−	10.1661i	0.423107	−	0.538804i
$357$	−8.47434	+	5.15160i	−0.448509	+	0.272651i
$358$	1.08294	+	0.374383i	0.0572351	+	0.0197867i
$359$	−0.193329	−	0.334855i	−0.0102035	−	0.0176730i	0.860879	−	0.508810i	$-0.169915\pi$
$359$	−0.193329	−	0.334855i	−0.0102035	−	0.0176730i	−0.871082	+	0.491137i	$0.836581\pi$
$360$	12.1599	−	2.66151i	0.640884	−	0.140274i
$361$	−4.17041	+	7.22336i	−0.219495	+	0.380177i
$362$	2.72354	+	14.1043i	0.143146	+	0.741308i
$363$	−5.22126	+	5.22126i	−0.274045	+	0.274045i
$364$	−11.1261	+	27.7529i	−0.583167	+	1.45465i
$365$	−10.3635	+	14.5604i	−0.542452	+	0.762125i
$366$	−7.59879	−	5.13911i	−0.397195	−	0.268626i
$367$	−8.07581	−	30.1393i	−0.421554	−	1.57326i	−0.771336	−	0.636429i	$-0.780411\pi$
$367$	−8.07581	−	30.1393i	−0.421554	−	1.57326i	0.349782	−	0.936831i	$-0.386256\pi$
$368$	7.34429	+	13.4052i	0.382848	+	0.698793i
$369$	9.49900	−	5.48425i	0.494498	−	0.285499i
$370$	−21.9936	−	30.8482i	−1.14339	−	1.60372i
$371$	−0.221367	−	0.757230i	−0.0114928	−	0.0393134i
$372$	2.17847	+	18.1119i	0.112948	+	0.939059i
$373$	3.26480	−	12.1844i	0.169045	−	0.630884i	−0.828445	−	0.560071i	$-0.810774\pi$
$373$	3.26480	−	12.1844i	0.169045	−	0.630884i	0.997490	−	0.0708132i	$-0.0225594\pi$
$374$	0.715556	−	10.0545i	0.0370005	−	0.519906i
$375$	7.84264	+	8.21415i	0.404992	+	0.424177i
$376$	−5.86851	+	1.88279i	−0.302645	+	0.0970974i
$377$	−1.92382	−	1.92382i	−0.0990820	−	0.0990820i
$378$	10.2220	−	15.8766i	0.525765	−	0.816607i
$379$		−	20.5847i		−	1.05736i	−0.848820	−	0.528682i	$-0.822686\pi$
$379$		−	20.5847i		−	1.05736i	0.848820	−	0.528682i	$-0.177314\pi$
$380$	14.5963	−	0.360983i	0.748777	−	0.0185181i
$381$	5.54555	+	3.20173i	0.284107	+	0.164029i
$382$	17.2907	−	14.9932i	0.884671	−	0.767117i
$383$	3.77766	−	14.0984i	0.193029	−	0.720396i	−0.799739	−	0.600348i	$-0.795029\pi$
$383$	3.77766	−	14.0984i	0.193029	−	0.720396i	0.992768	−	0.120048i	$-0.0383047\pi$
$384$	−11.4884	+	0.301786i	−0.586266	+	0.0154004i
$385$	2.15177	+	11.2227i	0.109665	+	0.571960i
$386$	15.7961	+	32.4885i	0.803999	+	1.65362i
$387$	2.59536	−	9.68601i	0.131929	−	0.492367i
$388$	−0.261158	−	0.111617i	−0.0132583	−	0.00566649i
$389$	18.0960	−	31.3432i	0.917504	−	1.58916i	0.114312	−	0.993445i	$-0.463534\pi$
$389$	18.0960	−	31.3432i	0.917504	−	1.58916i	0.803193	−	0.595719i	$-0.203133\pi$
$390$	−17.0028	+	6.35285i	−0.860971	+	0.321689i
$391$			14.1011i			0.713121i
$392$	16.1429	−	11.4633i	0.815339	−	0.578983i
$393$	−2.91202	+	2.91202i	−0.146892	+	0.146892i
$394$	−6.38946	+	9.44758i	−0.321896	+	0.475962i
$395$	−4.16986	+	11.1874i	−0.209808	+	0.562900i
$396$	2.83077	+	7.05653i	0.142252	+	0.354604i
$397$	−14.9168	−	3.99693i	−0.748651	−	0.200600i	−0.135731	−	0.990746i	$-0.543338\pi$
$397$	−14.9168	−	3.99693i	−0.748651	−	0.200600i	−0.612919	+	0.790145i	$0.710005\pi$
$398$	−8.77574	+	25.3847i	−0.439888	+	1.27242i
$399$	6.06254	−	6.34312i	0.303507	−	0.317553i
$400$	10.8440	+	16.8050i	0.542198	+	0.840251i
$401$	−5.44372	−	9.42880i	−0.271846	−	0.470852i	0.697488	−	0.716596i	$-0.254301\pi$
$401$	−5.44372	−	9.42880i	−0.271846	−	0.470852i	−0.969335	+	0.245744i	$0.920968\pi$
$402$	−4.91825	−	5.67194i	−0.245300	−	0.282890i
$403$	13.1322	+	49.0100i	0.654161	+	2.44136i
$404$	13.4001	+	1.91703i	0.666682	+	0.0953756i
$405$	−1.71589	+	0.288934i	−0.0852634	+	0.0143573i
$406$	0.381482	+	1.76072i	0.0189327	+	0.0873831i
$407$	16.3630	−	16.3630i	0.811083	−	0.811083i
$408$	−9.42861	−	4.84820i	−0.466786	−	0.240022i
$409$	8.23763	+	4.75600i	0.407325	+	0.235169i	0.689640	−	0.724153i	$-0.257769\pi$
$409$	8.23763	+	4.75600i	0.407325	+	0.235169i	−0.282315	+	0.959322i	$0.591102\pi$
$410$	13.5961	+	11.2127i	0.671462	+	0.553757i
$411$	−11.7488	−	20.3495i	−0.579524	−	1.00377i
$412$	−0.795181	−	6.61117i	−0.0391758	−	0.325709i
$413$	12.9964	−	23.7341i	0.639510	−	1.16788i
$414$	−4.65081	−	9.56554i	−0.228575	−	0.470120i
$415$	18.8905	+	1.79958i	0.927298	+	0.0883380i
$416$	−31.5125	+	5.35611i	−1.54503	+	0.262605i
$417$	−14.4691	+	3.87699i	−0.708556	+	0.189857i
$418$	1.69087	+	8.75647i	0.0827030	+	0.428293i
$419$		−	9.13664i		−	0.446354i	−0.974778	−	0.223177i	$-0.928357\pi$
$419$		−	9.13664i		−	0.446354i	0.974778	−	0.223177i	$-0.0716428\pi$
$420$	11.7437	+	2.55788i	0.573033	+	0.124812i
$421$		−	4.78559i		−	0.233236i	−0.993177	−	0.116618i	$-0.962795\pi$
$421$		−	4.78559i		−	0.233236i	0.993177	−	0.116618i	$-0.0372052\pi$
$422$	0.815717	−	0.157514i	0.0397085	−	0.00766767i
$423$	4.14250	−	1.10998i	0.201415	−	0.0539690i
$424$	0.566660	−	0.624670i	0.0275194	−	0.0303367i
$425$	1.32444	+	18.4030i	0.0642447	+	0.892677i
$426$	−14.9206	+	7.25446i	−0.722904	+	0.351480i
$427$	8.77624	+	14.4368i	0.424712	+	0.698648i
$428$	−2.98417	−	24.8106i	−0.144246	−	1.19926i
$429$	−5.54332	−	9.60130i	−0.267634	−	0.463555i
$430$	16.0378	−	1.54072i	0.773411	−	0.0743000i
$431$	−26.5210	−	15.3119i	−1.27747	−	0.737547i	−0.301087	−	0.953597i	$-0.597349\pi$
$431$	−26.5210	−	15.3119i	−1.27747	−	0.737547i	−0.976382	+	0.216049i	$0.930683\pi$
$432$	20.1814	+	0.451992i	0.970980	+	0.0217465i
$433$	−8.22529	+	8.22529i	−0.395282	+	0.395282i	−0.876565	−	0.481283i	$-0.840171\pi$
$433$	−8.22529	+	8.22529i	−0.395282	+	0.395282i	0.481283	+	0.876565i	$0.340171\pi$
$434$	10.2568	−	31.9940i	0.492343	−	1.53576i
$435$	−0.634180	+	0.891001i	−0.0304066	+	0.0427202i
$436$	1.48976	−	10.4135i	0.0713466	−	0.498717i
$437$	−3.22901	−	12.0508i	−0.154465	−	0.576470i
$438$	−8.67467	+	7.52199i	−0.414492	+	0.359415i
$439$	−11.5579	−	20.0189i	−0.551629	−	0.955450i	−0.998157	−	0.0606803i	$-0.980673\pi$
$439$	−11.5579	−	20.0189i	−0.551629	−	0.955450i	0.446528	−	0.894770i	$-0.352660\pi$
$440$	−9.02880	+	8.22882i	−0.430431	+	0.392293i
$441$	−11.6077	+	7.42097i	−0.552749	+	0.353380i
$442$	−27.8698	−	9.63484i	−1.32563	−	0.458283i
$443$	27.9222	+	7.48172i	1.32662	+	0.355467i	0.851455	−	0.524428i	$-0.175721\pi$
$443$	27.9222	+	7.48172i	1.32662	+	0.355467i	0.475167	+	0.879895i	$0.342387\pi$
$444$	−9.06196	−	22.5896i	−0.430061	−	1.07205i
$445$	−13.5416	−	5.04734i	−0.641935	−	0.239267i
$446$	8.05694	+	5.44896i	0.381507	+	0.258016i
$447$	−3.95043	+	3.95043i	−0.186849	+	0.186849i
$448$	19.4648	+	8.31401i	0.919624	+	0.392800i
$449$			25.3558i			1.19661i	0.801267	+	0.598307i	$0.204160\pi$
$449$			25.3558i			1.19661i	−0.801267	+	0.598307i	$0.795840\pi$
$450$	−6.96812	−	12.0470i	−0.328480	−	0.567899i
$451$	−5.38217	+	9.32219i	−0.253436	+	0.438965i
$452$	−7.90506	+	18.4960i	−0.371823	+	0.869980i
$453$	−0.617332	+	2.30391i	−0.0290048	+	0.108247i
$454$	−23.5957	+	11.4723i	−1.10740	+	0.538423i
$455$	33.3418	+	2.41696i	1.56309	+	0.113309i
$456$	9.16793	+	1.98423i	0.429328	+	0.0929200i
$457$	1.01514	−	3.78855i	0.0474862	−	0.177221i	−0.938110	−	0.346338i	$-0.887425\pi$
$457$	1.01514	−	3.78855i	0.0474862	−	0.177221i	0.985596	+	0.169117i	$0.0540916\pi$
$458$	−18.0051	−	20.7642i	−0.841324	−	0.970250i
$459$	16.1277	+	9.31133i	0.752776	+	0.434616i
$460$	11.7816	−	12.3791i	0.549318	−	0.577178i
$461$		−	15.6723i		−	0.729931i	−0.931021	−	0.364965i	$-0.881081\pi$
$461$		−	15.6723i		−	0.729931i	0.931021	−	0.364965i	$-0.118919\pi$
$462$	−0.355431	+	7.33265i	−0.0165362	+	0.341146i
$463$	2.78984	+	2.78984i	0.129655	+	0.129655i	0.768956	−	0.639302i	$-0.220776\pi$
$463$	2.78984	+	2.78984i	0.129655	+	0.129655i	−0.639302	+	0.768956i	$0.720776\pi$
$464$	−1.39201	+	1.33103i	−0.0646226	+	0.0617913i
$465$	18.5507	−	8.47680i	0.860267	−	0.393102i
$466$	−7.70644	−	0.548450i	−0.356994	−	0.0254065i
$467$	−5.95383	+	22.2200i	−0.275510	+	1.02822i	0.679988	+	0.733223i	$0.261985\pi$
$467$	−5.95383	+	22.2200i	−0.275510	+	1.02822i	−0.955499	+	0.294996i	$0.904682\pi$
$468$	22.0834	−	2.65615i	1.02080	−	0.122781i
$469$	3.87966	+	13.2711i	0.179146	+	0.612803i
$470$	4.00016	+	5.61062i	0.184514	+	0.258799i
$471$	5.56040	−	3.21030i	0.256210	−	0.147923i
$472$	28.8935	−	1.40694i	1.32993	−	0.0647595i
$473$	2.54705	+	9.50572i	0.117113	+	0.437073i
$474$	−4.29703	+	6.35367i	−0.197369	+	0.291834i
$475$	−5.34599	−	15.4240i	−0.245291	−	0.707702i
$476$	12.0629	+	15.3545i	0.552904	+	0.703773i
$477$	−0.414986	+	0.414986i	−0.0190009	+	0.0190009i
$478$	5.06710	−	0.978452i	0.231764	−	0.0447533i
$479$	−20.0633	+	34.7507i	−0.916716	+	1.58780i	−0.112348	+	0.993669i	$0.535837\pi$
$479$	−20.0633	+	34.7507i	−0.916716	+	1.58780i	−0.804369	+	0.594130i	$0.797496\pi$
$480$	4.22651	+	12.1338i	0.192913	+	0.553832i
$481$	−33.8484	−	58.6272i	−1.54336	−	2.67317i
$482$	−6.87864	+	19.8972i	−0.313314	+	0.906292i
$483$	−0.232218	−	10.2673i	−0.0105663	−	0.467176i
$484$	11.4343	+	8.97898i	0.519739	+	0.408135i
$485$	−0.0301131	+	0.316102i	−0.00136736	+	0.0143534i
$486$	−22.4721	−	1.59929i	−1.01935	−	0.0725452i
$487$	9.37004	+	34.9695i	0.424597	+	1.58462i	0.764802	+	0.644266i	$0.222837\pi$
$487$	9.37004	+	34.9695i	0.424597	+	1.58462i	−0.340205	+	0.940351i	$0.610496\pi$
$488$	−8.25938	+	16.0626i	−0.373884	+	0.727118i
$489$		−	17.4024i		−	0.786964i
$490$	−17.6968	−	13.2974i	−0.799462	−	0.600717i
$491$	16.0902			0.726141			0.363071	−	0.931762i	$-0.381728\pi$
$491$	16.0902			0.726141			0.363071	+	0.931762i	$0.381728\pi$
$492$	6.79136	+	9.05889i	0.306178	+	0.408407i
$493$	−1.71622	+	0.459859i	−0.0772945	+	0.0207110i
$494$	26.0239	+	1.85207i	1.17087	+	0.0833283i
$495$	6.55376	−	5.41369i	0.294570	−	0.243327i
$496$	34.8933	−	8.51703i	1.56675	−	0.382426i
$497$	30.5480	−	0.690915i	1.37026	−	0.0309918i
$498$	11.5219	+	3.98324i	0.516310	+	0.178493i
$499$	−25.4948	+	14.7194i	−1.14130	+	0.658931i	−0.946753	−	0.321961i	$-0.895658\pi$
$499$	−25.4948	+	14.7194i	−1.14130	+	0.658931i	−0.194550	+	0.980893i	$0.562325\pi$
$500$	14.2132	−	17.2623i	0.635632	−	0.771992i
$501$	−13.7759	−	7.95351i	−0.615461	−	0.355337i
$502$	−2.74116	+	0.529316i	−0.122344	+	0.0236245i
$503$	−19.1483	−	19.1483i	−0.853780	−	0.853780i	0.136817	−	0.990596i	$-0.456313\pi$
$503$	−19.1483	−	19.1483i	−0.853780	−	0.853780i	−0.990596	+	0.136817i	$0.956313\pi$
$504$	−13.2472	−	6.43723i	−0.590077	−	0.286737i
$505$	−2.51305	−	14.9242i	−0.111829	−	0.664120i
$506$	8.64650	+	5.84768i	0.384384	+	0.259961i
$507$	−18.5728	+	4.97656i	−0.824846	+	0.221017i
$508$	4.95490	−	11.5933i	0.219838	−	0.514371i
$509$	−4.55691	−	7.89281i	−0.201982	−	0.349843i	0.747185	−	0.664616i	$-0.231405\pi$
$509$	−4.55691	−	7.89281i	−0.201982	−	0.349843i	−0.949167	+	0.314773i	$0.898071\pi$
$510$	−1.95895	+	11.6905i	−0.0867437	+	0.517663i
$511$	20.2969	−	5.93355i	0.897881	−	0.262485i
$512$	3.29112	+	22.3868i	0.145448	+	0.989366i
$513$	−15.9150	−	4.26441i	−0.702665	−	0.188278i
$514$	−1.12512	+	15.8094i	−0.0496268	+	0.697321i
$515$	−6.77133	+	3.09418i	−0.298380	+	0.136346i
$516$	10.2465	+	1.46586i	0.451076	+	0.0645311i
$517$	−2.97608	+	2.97608i	−0.130888	+	0.130888i
$518$	−2.17033	+	44.7744i	−0.0953586	+	1.96728i
$519$	2.20439			0.0967622
$520$	16.4164	+	31.7437i	0.719907	+	1.39205i
$521$	−5.65601	+	9.79650i	−0.247794	+	0.429192i	−0.962914	−	0.269810i	$-0.913039\pi$
$521$	−5.65601	+	9.79650i	−0.247794	+	0.429192i	0.715119	+	0.699003i	$0.246372\pi$
$522$	1.01253	−	0.877990i	0.0443174	−	0.0384286i
$523$	−24.2542	−	6.49890i	−1.06056	−	0.284177i	−0.313953	−	0.949439i	$-0.601653\pi$
$523$	−24.2542	−	6.49890i	−1.06056	−	0.284177i	−0.746611	+	0.665261i	$0.768320\pi$
$524$	6.37715	+	5.00779i	0.278587	+	0.218766i
$525$	−1.26741	−	13.3778i	−0.0553144	−	0.583854i
$526$	19.6441	−	9.55108i	0.856526	−	0.416447i
$527$	32.0061	+	8.57600i	1.39421	+	0.373577i
$528$	−6.88285	+	3.77090i	−0.299538	+	0.164108i
$529$	7.27258	+	4.19883i	0.316199	+	0.182558i
$530$	−0.857958	−	0.391221i	−0.0372673	−	0.0169935i
$531$	−20.1294			−0.873543
$532$	−13.8251	−	10.3597i	−0.599393	−	0.449152i
$533$	22.2671	+	22.2671i	0.964494	+	0.964494i
$534$	−7.69070	−	5.20127i	−0.332809	−	0.225081i
$535$	−25.4116	+	11.6119i	−1.09864	+	0.502027i
$536$	−9.93120	+	10.9479i	−0.428963	+	0.472877i
$537$	0.213013	−	0.794974i	0.00919218	−	0.0343057i
$538$	4.21407	−	12.1896i	0.181681	−	0.525532i
$539$	6.22405	−	12.0030i	0.268089	−	0.517004i
$540$	−6.37853	−	21.6491i	−0.274488	−	0.931628i
$541$	−13.3004	+	7.67899i	−0.571829	+	0.330145i	−0.757879	−	0.652395i	$-0.773764\pi$
$541$	−13.3004	+	7.67899i	−0.571829	+	0.330145i	0.186051	+	0.982540i	$0.440431\pi$
$542$	4.01492	−	3.48143i	0.172456	−	0.149540i
$543$	9.96635	−	2.67048i	0.427697	−	0.114601i
$544$	−7.26046	+	19.5711i	−0.311290	+	0.839105i
$545$	−11.5979	+	1.95294i	−0.496801	+	0.0836548i
$546$	20.4512	+	6.55635i	0.875230	+	0.280586i
$547$	−26.5081	−	26.5081i	−1.13341	−	1.13341i	−0.989607	−	0.143798i	$-0.954068\pi$
$547$	−26.5081	−	26.5081i	−1.13341	−	1.13341i	−0.143798	−	0.989607i	$-0.545932\pi$
$548$	−37.0171	+	27.7513i	−1.58129	+	1.18548i
$549$	6.28411	−	10.8844i	0.268199	−	0.464535i
$550$	11.8336	+	6.81957i	0.504587	+	0.290787i
$551$	1.36138	−	0.785995i	0.0579969	−	0.0334845i
$552$	9.22982	−	5.94542i	0.392847	−	0.253054i
$553$	12.0713	−	7.33819i	0.513322	−	0.312052i
$554$	1.70627	+	3.50936i	0.0724923	+	0.149098i
$555$	−20.9801	+	17.3305i	−0.890556	+	0.735638i
$556$	10.9808	+	27.3729i	0.465690	+	1.16087i
$557$	−4.24041	−	15.8254i	−0.179672	−	0.670545i	−0.995709	−	0.0925449i	$-0.970500\pi$
$557$	−4.24041	−	15.8254i	−0.179672	−	0.670545i	0.816036	−	0.578000i	$-0.196167\pi$
$558$	−24.5400	+	4.73866i	−1.03886	+	0.200604i
$559$	28.7894			1.21766
$560$	2.23899	−	23.5582i	0.0946147	−	0.995514i
$561$	−7.24015			−0.305679
$562$	−40.0342	+	7.73056i	−1.68874	+	0.326094i
$563$	−10.4878	−	39.1409i	−0.442007	−	1.64959i	−0.723719	−	0.690095i	$-0.757569\pi$
$563$	−10.4878	−	39.1409i	−0.442007	−	1.64959i	0.281712	−	0.959499i	$-0.409098\pi$
$564$	1.64817	+	4.10856i	0.0694007	+	0.173002i
$565$	22.3873	+	2.13271i	0.941842	+	0.0897236i
$566$	3.60512	+	7.41482i	0.151535	+	0.311668i
$567$	1.80584	+	0.988847i	0.0758382	+	0.0415277i
$568$	17.6893	+	27.4613i	0.742227	+	1.15225i
$569$	6.57271	−	3.79475i	0.275542	−	0.159084i	−0.355861	−	0.934539i	$-0.615812\pi$
$569$	6.57271	−	3.79475i	0.275542	−	0.159084i	0.631404	+	0.775454i	$0.282479\pi$
$570$	−1.00288	−	10.4393i	−0.0420062	−	0.437255i
$571$	0.665837	−	1.15326i	0.0278644	−	0.0482626i	−0.851757	−	0.523937i	$-0.824463\pi$
$571$	0.665837	−	1.15326i	0.0278644	−	0.0482626i	0.879621	+	0.475675i	$0.157796\pi$
$572$	−17.4654	+	13.0936i	−0.730266	+	0.547473i
$573$	−11.6237	−	11.6237i	−0.485586	−	0.485586i
$574$	−4.41542	−	20.3792i	−0.184296	−	0.850613i
$575$	−17.1898	−	8.34084i	−0.716864	−	0.347837i
$576$	−1.52977	−	15.6708i	−0.0637405	−	0.652952i
$577$	−23.6437	+	6.33531i	−0.984301	+	0.263743i	−0.714855	−	0.699273i	$-0.753507\pi$
$577$	−23.6437	+	6.33531i	−0.984301	+	0.263743i	−0.269446	+	0.963016i	$0.586841\pi$
$578$	3.61463	−	3.13432i	0.150349	−	0.130371i
$579$	22.4713	−	12.9738i	0.933877	−	0.539174i
$580$	1.89085	+	1.03021i	0.0785134	+	0.0427772i
$581$	−16.2314	−	15.5134i	−0.673392	−	0.643605i
$582$	−0.0666530	+	0.192801i	−0.00276286	+	0.00799184i
$583$	0.149068	−	0.556329i	0.00617377	−	0.0230408i
$584$	16.7437	+	15.1888i	0.692860	+	0.628517i
$585$	−10.3355	−	22.6184i	−0.427322	−	0.935154i
$586$	−19.5829	−	13.2441i	−0.808964	−	0.547108i
$587$	14.9713	+	14.9713i	0.617932	+	0.617932i	0.945001	−	0.327068i	$-0.106061\pi$
$587$	14.9713	+	14.9713i	0.617932	+	0.617932i	−0.327068	+	0.945001i	$0.606061\pi$
$588$	−9.03611	−	10.9813i	−0.372643	−	0.452860i
$589$	−29.3164			−1.20796
$590$	−11.3199	−	30.2966i	−0.466031	−	1.24729i
$591$	7.09462	+	4.09608i	0.291834	+	0.168490i
$592$	−42.0279	+	23.0258i	−1.72733	+	0.946354i
$593$	32.3483	+	8.66771i	1.32839	+	0.355940i	0.852113	−	0.523357i	$-0.175321\pi$
$593$	32.3483	+	8.66771i	1.32839	+	0.355940i	0.476273	+	0.879297i	$0.341987\pi$
$594$	12.3976	−	6.02780i	0.508682	−	0.247323i
$595$	12.2539	−	18.0676i	0.502360	−	0.740698i
$596$	8.65121	+	6.79354i	0.354367	+	0.278274i
$597$	18.6347	+	4.99314i	0.762666	+	0.204356i
$598$	23.0709	−	20.0053i	0.943439	−	0.818076i
$599$	−14.2926	+	24.7555i	−0.583981	+	1.01148i	0.411021	+	0.911626i	$0.365172\pi$
$599$	−14.2926	+	24.7555i	−0.583981	+	1.01148i	−0.995002	+	0.0998582i	$0.968161\pi$
$600$	11.4872	−	8.62615i	0.468964	−	0.352161i
$601$	−11.9416			−0.487110			−0.243555	−	0.969887i	$-0.578314\pi$
$601$	−11.9416			−0.487110			−0.243555	+	0.969887i	$0.578314\pi$
$602$	−16.0287	−	10.3199i	−0.653279	−	0.420608i
$603$	7.27298	−	7.27298i	0.296179	−	0.296179i
$604$	4.64888	+	0.665070i	0.189160	+	0.0270613i
$605$	5.67694	−	15.2308i	0.230800	−	0.619221i
$606$	0.690216	−	9.69843i	0.0280381	−	0.393972i
$607$	30.8738	+	8.27261i	1.25313	+	0.335775i	0.823545	−	0.567251i	$-0.191993\pi$
$607$	30.8738	+	8.27261i	1.25313	+	0.335775i	0.429585	+	0.903026i	$0.358660\pi$
$608$	1.72322	−	18.3882i	0.0698858	−	0.745738i
$609$	1.24204	−	0.363095i	0.0503299	−	0.0147133i
$610$	19.9159	+	3.33726i	0.806370	+	0.135122i
$611$	6.15630	+	10.6630i	0.249057	+	0.431380i
$612$	5.70858	−	13.3568i	0.230756	−	0.539915i
$613$	21.1242	−	5.66021i	0.853198	−	0.228614i	0.194389	−	0.980924i	$-0.437727\pi$
$613$	21.1242	−	5.66021i	0.853198	−	0.228614i	0.658808	+	0.752311i	$0.271061\pi$
$614$	−13.6453	−	9.22842i	−0.550680	−	0.372429i
$615$	7.34024	−	10.3128i	0.295987	−	0.415851i
$616$	14.4176	−	1.02927i	0.580900	−	0.0414703i
$617$	5.47079	+	5.47079i	0.220246	+	0.220246i	0.808602	−	0.588356i	$-0.200225\pi$
$617$	5.47079	+	5.47079i	0.220246	+	0.220246i	−0.588356	+	0.808602i	$0.700225\pi$
$618$	−4.69610	+	0.906814i	−0.188905	+	0.0364774i
$619$	19.8367	+	11.4527i	0.797303	+	0.460323i	0.842527	−	0.538654i	$-0.181067\pi$
$619$	19.8367	+	11.4527i	0.797303	+	0.460323i	−0.0452244	+	0.998977i	$0.514400\pi$
$620$	−20.9323	−	34.2701i	−0.840660	−	1.37632i
$621$	−16.7010	+	9.64234i	−0.670189	+	0.386934i
$622$	8.10235	+	2.80106i	0.324875	+	0.112312i
$623$	8.88240	+	14.6115i	0.355866	+	0.585396i
$624$	5.44424	+	22.3044i	0.217944	+	0.892892i
$625$	−23.2175	−	9.27091i	−0.928698	−	0.370836i
$626$	−34.3517	−	2.44474i	−1.37297	−	0.0977114i
$627$	6.18746	−	1.65793i	0.247103	−	0.0662112i
$628$	−7.58292	−	10.1148i	−0.302592	−	0.403623i
$629$	−44.2096			−1.76275
$630$	−2.35346	+	16.2978i	−0.0937639	+	0.649320i
$631$		−	28.5739i		−	1.13751i	−0.822507	−	0.568755i	$-0.807425\pi$
$631$		−	28.5739i		−	1.13751i	0.822507	−	0.568755i	$-0.192575\pi$
$632$	13.4306	+	6.90601i	0.534240	+	0.274707i
$633$	−0.154445	−	0.576398i	−0.00613866	−	0.0229098i
$634$	−45.4243	−	3.23275i	−1.80403	−	0.128389i
$635$	−14.0324	−	1.33678i	−0.556859	−	0.0530486i
$636$	−0.476446	−	0.374139i	−0.0188923	−	0.0148356i
$637$	−29.2048	−	26.6758i	−1.15714	−	1.05693i
$638$	−0.429735	+	1.24305i	−0.0170134	+	0.0492129i
$639$	−11.3652	−	19.6851i	−0.449599	−	0.778729i
$640$	22.7257	−	11.1150i	0.898312	−	0.439358i
$641$	16.3798	−	28.3706i	0.646963	−	1.12057i	−0.336882	−	0.941547i	$-0.609372\pi$
$641$	16.3798	−	28.3706i	0.646963	−	1.12057i	0.983844	−	0.179025i	$-0.0572944\pi$
$642$	−17.6237	+	3.40311i	−0.695550	+	0.134310i
$643$	−6.79725	+	6.79725i	−0.268058	+	0.268058i	−0.828317	−	0.560260i	$-0.810701\pi$
$643$	−6.79725	+	6.79725i	−0.268058	+	0.268058i	0.560260	+	0.828317i	$0.310701\pi$
$644$	−20.0160	+	2.86800i	−0.788741	+	0.113015i
$645$	−1.92162	−	11.4119i	−0.0756636	−	0.449343i
$646$	9.54494	−	14.1133i	0.375541	−	0.555282i
$647$	0.971586	+	3.62601i	0.0381970	+	0.142553i	0.982391	−	0.186837i	$-0.0598236\pi$
$647$	0.971586	+	3.62601i	0.0381970	+	0.142553i	−0.944194	+	0.329390i	$0.893157\pi$
$648$	0.107049	+	2.19840i	0.00420527	+	0.0863615i
$649$	17.1081	−	9.87738i	0.671553	−	0.387721i
$650$	28.2304	−	28.2754i	1.10729	−	1.10905i
$651$	−23.4455	−	5.71727i	−0.918900	−	0.224078i
$652$	−34.0185	+	4.09169i	−1.33227	+	0.160243i
$653$	−1.12956	+	4.21558i	−0.0442032	+	0.164969i	−0.984499	−	0.175389i	$-0.943882\pi$
$653$	−1.12956	+	4.21558i	−0.0442032	+	0.164969i	0.940296	+	0.340358i	$0.110548\pi$
$654$	−7.53685	−	0.536381i	−0.294714	−	0.0209742i
$655$	3.16616	−	8.49459i	0.123712	−	0.331911i
$656$	16.1117	−	15.4058i	0.629056	−	0.601496i
$657$	−11.1233	−	11.1233i	−0.433962	−	0.433962i
$658$	0.394735	−	8.14351i	0.0153884	−	0.317467i
$659$			8.08264i			0.314855i	0.987531	+	0.157427i	$0.0503201\pi$
$659$			8.08264i			0.314855i	−0.987531	+	0.157427i	$0.949680\pi$
$660$	6.35600	+	6.04921i	0.247407	+	0.235465i
$661$	−5.00284	−	2.88839i	−0.194588	−	0.112345i	0.399541	−	0.916715i	$-0.369170\pi$
$661$	−5.00284	−	2.88839i	−0.194588	−	0.112345i	−0.594129	+	0.804370i	$0.702503\pi$
$662$	−5.97244	−	6.88766i	−0.232125	−	0.267697i
$663$	−5.48194	+	20.4589i	−0.212901	+	0.794557i
$664$	5.07744	−	23.4598i	0.197043	−	0.910417i
$665$	−6.33493	+	18.2466i	−0.245658	+	0.707575i
$666$	29.9898	−	14.5812i	1.16208	−	0.565010i
$667$	0.476206	−	1.77723i	0.0184388	−	0.0688145i
$668$	−12.3086	+	28.7994i	−0.476235	+	1.11428i
$669$	3.49316	−	6.05033i	0.135053	−	0.233919i
$670$	15.0365	+	6.85648i	0.580909	+	0.264889i
$671$			12.3343i			0.476160i
$672$	4.96418	−	14.3697i	0.191497	−	0.554323i
$673$	25.1913	−	25.1913i	0.971052	−	0.971052i	−0.0285405	−	0.999593i	$-0.509086\pi$
$673$	25.1913	−	25.1913i	0.971052	−	0.971052i	0.999593	+	0.0285405i	$0.00908596\pi$
$674$	16.7057	+	11.2981i	0.643478	+	0.435188i
$675$	−20.8905	+	14.1527i	−0.804076	+	0.544736i
$676$	14.0951	+	35.1363i	0.542121	+	1.35140i
$677$	−1.89659	−	0.508189i	−0.0728918	−	0.0195313i	0.222189	−	0.975004i	$-0.428680\pi$
$677$	−1.89659	−	0.508189i	−0.0728918	−	0.0195313i	−0.295081	+	0.955472i	$0.595347\pi$
$678$	13.6548	+	4.72058i	0.524408	+	0.181293i
$679$	0.259592	−	0.271606i	0.00996222	−	0.0104233i
$680$	23.3133	+	1.08069i	0.894026	+	0.0414427i
$681$	9.42260	+	16.3204i	0.361075	+	0.625400i
$682$	18.5315	−	16.0691i	0.709608	−	0.615316i
$683$	−0.222852	−	0.831694i	−0.00852719	−	0.0318239i	0.961531	−	0.274696i	$-0.0885772\pi$
$683$	−0.222852	−	0.831694i	−0.00852719	−	0.0318239i	−0.970058	+	0.242872i	$0.921911\pi$
$684$	−1.82001	+	12.7220i	−0.0695897	+	0.486437i
$685$	42.1408	+	29.9942i	1.61012	+	1.14602i
$686$	6.69770	+	25.3208i	0.255720	+	0.966751i
$687$	−13.9587	+	13.9587i	−0.532559	+	0.532559i
$688$	0.456320	−	20.3747i	0.0173970	−	0.776777i
$689$	−1.45918	−	0.842460i	−0.0555904	−	0.0320952i
$690$	−9.46987	−	7.80984i	−0.360512	−	0.297316i
$691$	−1.50264	−	2.60265i	−0.0571631	−	0.0990093i	0.836028	−	0.548687i	$-0.184872\pi$
$691$	−1.50264	−	2.60265i	−0.0571631	−	0.0990093i	−0.893191	+	0.449678i	$0.851539\pi$
$692$	−0.518302	−	4.30919i	−0.0197029	−	0.163811i
$693$	−10.0554	+	0.227428i	−0.381975	+	0.00863927i
$694$	−33.8307	+	16.4487i	−1.28420	+	0.624382i
$695$	25.4226	−	21.0002i	0.964335	−	0.796583i
$696$	1.02461	+	0.929456i	0.0388376	+	0.0352309i
$697$	19.8641	−	5.32258i	0.752408	−	0.201607i
$698$	0.718849	−	0.138809i	0.0272088	−	0.00525400i
$699$			5.54933i			0.209895i
$700$	−25.8531	+	5.62297i	−0.977155	+	0.212528i
$701$			27.6799i			1.04546i	0.852499	+	0.522728i	$0.175086\pi$
$701$			27.6799i			1.04546i	−0.852499	+	0.522728i	$0.824914\pi$
$702$	−7.64609	−	39.5967i	−0.288583	−	1.49448i
$703$	37.7817	−	10.1236i	1.42496	−	0.381818i
$704$	8.98974	+	12.5681i	0.338813	+	0.473678i
$705$	3.81583	−	3.15204i	0.143712	−	0.118713i
$706$	1.24379	+	2.55815i	0.0468105	+	0.0962773i
$707$	−8.60064	+	15.7066i	−0.323461	+	0.590706i
$708$	−2.48127	−	20.6294i	−0.0932518	−	0.775299i
$709$	−10.5667	−	18.3020i	−0.396839	−	0.687346i	0.596495	−	0.802617i	$-0.296560\pi$
$709$	−10.5667	−	18.3020i	−0.396839	−	0.687346i	−0.993334	+	0.115271i	$0.963226\pi$
$710$	23.2365	−	28.1755i	0.872049	−	1.05741i
$711$	−9.10091	−	5.25441i	−0.341311	−	0.197056i
$712$	−8.35928	+	16.2568i	−0.313277	+	0.609251i
$713$	−24.2630	+	24.2630i	−0.908657	+	0.908657i
$714$	10.3858	−	9.42554i	0.388681	−	0.352742i
$715$	19.8829	+	14.1519i	0.743579	+	0.529251i
$716$	−1.60411	−	0.229485i	−0.0599485	−	0.00857625i
$717$	−0.959389	−	3.58049i	−0.0358290	−	0.133716i
$718$	0.358233	+	0.413130i	0.0133692	+	0.0154179i
$719$	−9.17874	−	15.8980i	−0.342309	−	0.592897i	0.642552	−	0.766242i	$-0.277876\pi$
$719$	−9.17874	−	15.8980i	−0.342309	−	0.592897i	−0.984861	+	0.173345i	$0.944542\pi$
$720$	−16.1712	+	6.95611i	−0.602664	+	0.259239i
$721$	8.55801	+	2.08691i	0.318717	+	0.0777204i
$722$	3.85407	−	11.1483i	0.143434	−	0.414897i
$723$	14.6063	+	3.91375i	0.543214	+	0.145554i
$724$	−7.56360	−	18.8545i	−0.281099	−	0.700722i
$725$	0.454562	−	2.36415i	0.0168820	−	0.0878023i
$726$	5.85007	−	8.65003i	0.217117	−	0.321033i
$727$	−27.5459	+	27.5459i	−1.02162	+	1.02162i	−0.0218602	+	0.999761i	$0.506959\pi$
$727$	−27.5459	+	27.5459i	−1.02162	+	1.02162i	−0.999761	+	0.0218602i	$0.993041\pi$
$728$	8.00793	−	41.5198i	0.296794	−	1.53883i
$729$			13.8474i			0.512866i
$730$	10.4863	−	22.9968i	0.388116	−	0.851149i
$731$	9.40048	−	16.2821i	0.347689	−	0.602215i
$732$	11.9293	+	5.09851i	0.440921	+	0.188446i
$733$	−4.57509	+	17.0745i	−0.168985	+	0.630660i	0.828513	+	0.559969i	$0.189187\pi$
$733$	−4.57509	+	17.0745i	−0.168985	+	0.630660i	−0.997498	+	0.0706908i	$0.977480\pi$
$734$	19.2950	+	39.6850i	0.712192	+	1.46480i
$735$	−8.62475	+	13.3571i	−0.318129	+	0.492685i
$736$	−13.7923	−	16.6447i	−0.508393	−	0.613532i
$737$	−2.61255	+	9.75015i	−0.0962344	+	0.359152i
$738$	−11.7195	+	10.1622i	−0.431399	+	0.374075i
$739$	15.8433	+	9.14714i	0.582806	+	0.336483i	0.762248	−	0.647285i	$-0.224096\pi$
$739$	15.8433	+	9.14714i	0.582806	+	0.336483i	−0.179442	+	0.983769i	$0.557429\pi$
$740$	38.8108	+	36.9375i	1.42671	+	1.35785i
$741$		−	18.7396i		−	0.688415i
$742$	0.510419	+	0.992107i	0.0187381	+	0.0364214i
$743$	5.87951	+	5.87951i	0.215698	+	0.215698i	0.806683	−	0.590984i	$-0.201261\pi$
$743$	5.87951	+	5.87951i	0.215698	+	0.215698i	−0.590984	+	0.806683i	$0.701261\pi$
$744$	−7.88129	−	24.5654i	−0.288942	−	0.900612i
$745$	4.29520	−	11.5237i	0.157364	−	0.422196i
$746$	−1.26637	+	17.7942i	−0.0463652	+	0.651491i
$747$	−4.32293	+	16.1334i	−0.158168	+	0.590290i
$748$	1.70232	+	14.1532i	0.0622430	+	0.517491i
$749$	32.1167	+	7.83179i	1.17352	+	0.286167i
$750$	−13.0925	−	9.30301i	−0.478069	−	0.339698i
$751$	6.70244	−	3.86966i	0.244576	−	0.141206i	−0.372702	−	0.927951i	$-0.621569\pi$
$751$	6.70244	−	3.86966i	0.244576	−	0.141206i	0.617278	+	0.786745i	$0.288235\pi$
$752$	7.64396	−	4.18789i	0.278747	−	0.152717i
$753$	0.519004	+	1.93695i	0.0189135	+	0.0705863i
$754$	3.18719	+	2.15552i	0.116070	+	0.0784993i
$755$	−0.871846	−	5.17763i	−0.0317297	−	0.188433i
$756$	−9.93693	+	24.7866i	−0.361403	+	0.901478i
$757$	−24.1556	+	24.1556i	−0.877951	+	0.877951i	−0.993322	−	0.115371i	$-0.963194\pi$
$757$	−24.1556	+	24.1556i	−0.877951	+	0.877951i	0.115371	+	0.993322i	$0.463194\pi$
$758$	5.51938	+	28.5831i	0.200473	+	1.03819i
$759$	3.74876	−	6.49305i	0.136072	−	0.235683i
$760$	−20.1712	+	4.41497i	−0.731685	+	0.160148i
$761$	11.7295	+	20.3161i	0.425194	+	0.736458i	0.996439	−	0.0843219i	$-0.0268724\pi$
$761$	11.7295	+	20.3161i	0.425194	+	0.736458i	−0.571244	+	0.820780i	$0.693539\pi$
$762$	−8.55882	−	2.95887i	−0.310053	−	0.107188i
$763$	12.2059	+	6.68374i	0.441884	+	0.241968i
$764$	−19.9892	+	25.4551i	−0.723182	+	0.920934i
$765$	−16.1669	−	1.54012i	−0.584514	−	0.0556831i
$766$	−1.46531	+	20.5895i	−0.0529437	+	0.743927i
$767$	−14.9575	−	55.8222i	−0.540084	−	2.01562i
$768$	15.8715	−	3.49944i	0.572712	−	0.126275i
$769$		−	15.2021i		−	0.548203i	−0.961701	−	0.274101i	$-0.911620\pi$
$769$		−	15.2021i		−	0.548203i	0.961701	−	0.274101i	$-0.0883804\pi$
$770$	−5.99701	−	15.0064i	−0.216117	−	0.540794i
$771$	11.3842			0.409991
$772$	−30.6450	−	40.8769i	−1.10294	−	1.47119i
$773$	1.36850	−	0.366689i	0.0492216	−	0.0131889i	−0.234124	−	0.972207i	$-0.575222\pi$
$773$	1.36850	−	0.366689i	0.0492216	−	0.0131889i	0.283346	+	0.959018i	$0.408556\pi$
$774$	−1.00671	+	14.1455i	−0.0361853	+	0.508450i
$775$	−29.3862	+	33.9440i	−1.05559	+	1.21931i
$776$	0.392562	+	0.0849627i	0.0140921	+	0.00304998i
$777$	32.1898	−	0.728050i	1.15480	−	0.0261186i
$778$	−16.7234	+	48.3741i	−0.599562	+	1.73430i
$779$	−15.7572	+	9.09740i	−0.564559	+	0.325948i
$780$	21.9061	−	13.3803i	0.784364	−	0.479091i
$781$	19.3187	+	11.1536i	0.691276	+	0.399108i
$782$	−3.78092	−	19.5802i	−0.135205	−	0.700187i
$783$	−1.71820	−	1.71820i	−0.0614035	−	0.0614035i
$784$	−19.3418	+	20.2459i	−0.690778	+	0.723067i
$785$	−8.19578	+	11.5148i	−0.292520	+	0.410980i
$786$	3.26273	−	4.82433i	0.116378	−	0.172078i
$787$	−36.7660	+	9.85143i	−1.31057	+	0.351165i	−0.845436	−	0.534076i	$-0.820659\pi$
$787$	−36.7660	+	9.85143i	−1.31057	+	0.351165i	−0.465131	+	0.885242i	$0.653993\pi$
$788$	6.33899	−	14.8318i	0.225817	−	0.528360i
$789$	−7.84462	−	13.5873i	−0.279276	−	0.483720i
$790$	2.79042	−	16.6525i	0.0992788	−	0.592469i
$791$	−19.2360	−	18.3851i	−0.683954	−	0.653700i
$792$	−5.82277	−	9.03942i	−0.206903	−	0.321202i
$793$	34.8537	+	9.33902i	1.23769	+	0.331638i
$794$	21.7846	+	1.55036i	0.773105	+	0.0550202i
$795$	−0.236548	+	0.634642i	−0.00838950	+	0.0225084i
$796$	5.37925	−	37.6013i	0.190663	−	1.33274i
$797$	−11.6235	+	11.6235i	−0.411724	+	0.411724i	−0.882339	−	0.470615i	$-0.844032\pi$
$797$	−11.6235	+	11.6235i	−0.411724	+	0.411724i	0.470615	+	0.882339i	$0.344032\pi$
$798$	−6.71743	+	10.4334i	−0.237795	+	0.369337i
$799$	8.04077			0.284462
$800$	−19.5635	−	20.4272i	−0.691672	−	0.722211i
$801$	6.36012	−	11.0161i	0.224724	−	0.389233i
$802$	10.0871	+	11.6329i	0.356188	+	0.410770i
$803$	14.9119	+	3.99563i	0.526230	+	0.141003i
$804$	8.35012	+	6.55710i	0.294486	+	0.231251i
$805$	9.85845	+	20.3444i	0.347465	+	0.717044i
$806$	−31.3759	−	64.5323i	−1.10517	−	2.27305i
$807$	−8.94827	−	2.39768i	−0.314994	−	0.0844024i
$808$	−19.1209	+	0.931071i	−0.672672	+	0.0327549i
$809$	−18.0524	−	10.4225i	−0.634688	−	0.366437i	0.147877	−	0.989006i	$-0.452756\pi$
$809$	−18.0524	−	10.4225i	−0.634688	−	0.366437i	−0.782565	+	0.622568i	$0.786089\pi$
$810$	2.30515	−	0.861286i	0.0809949	−	0.0302625i
$811$	−3.27108			−0.114863			−0.0574316	−	0.998349i	$-0.518291\pi$
$811$	−3.27108			−0.114863			−0.0574316	+	0.998349i	$0.518291\pi$
$812$	−1.00181	−	2.34258i	−0.0351568	−	0.0822086i
$813$	−2.69902	−	2.69902i	−0.0946589	−	0.0946589i
$814$	−18.3336	+	27.1084i	−0.642593	+	0.950151i
$815$	15.9215	+	34.8426i	0.557705	+	1.22048i
$816$	14.3922	+	4.20393i	0.503827	+	0.147167i
$817$	−4.30524	+	16.0674i	−0.150621	+	0.562127i
$818$	−12.7137	−	4.39524i	−0.444524	−	0.153676i
$819$	−6.97092	+	28.5864i	−0.243584	+	0.998891i
$820$	−21.8855	−	11.9241i	−0.764273	−	0.416406i
$821$	−13.6348	+	7.87204i	−0.475857	+	0.274736i	−0.718688	−	0.695332i	$-0.755257\pi$
$821$	−13.6348	+	7.87204i	−0.475857	+	0.274736i	0.242831	+	0.970068i	$0.421924\pi$
$822$	21.7702	+	25.1063i	0.759324	+	0.875684i
$823$	30.8827	−	8.27500i	1.07650	−	0.288448i	0.323341	−	0.946282i	$-0.395194\pi$
$823$	30.8827	−	8.27500i	1.07650	−	0.288448i	0.753163	+	0.657834i	$0.228527\pi$
$824$	2.87681	+	8.96681i	0.100219	+	0.312374i
$825$	4.28258	−	8.82605i	0.149100	−	0.307284i
$826$	−11.6825	+	36.4410i	−0.406485	+	1.26795i
$827$	−25.0815	−	25.0815i	−0.872169	−	0.872169i	0.120540	−	0.992709i	$-0.461538\pi$
$827$	−25.0815	−	25.0815i	−0.872169	−	0.872169i	−0.992709	+	0.120540i	$0.961538\pi$
$828$	9.02275	+	12.0353i	0.313562	+	0.418256i
$829$	−20.9282	+	36.2488i	−0.726867	+	1.25897i	0.231333	+	0.972875i	$0.425691\pi$
$829$	−20.9282	+	36.2488i	−0.726867	+	1.25897i	−0.958201	+	0.286097i	$0.907642\pi$
$830$	−26.7131	+	2.56628i	−0.927227	+	0.0890768i
$831$	2.42732	−	1.40141i	0.0842028	−	0.0486145i
$832$	42.3210	−	15.8868i	1.46722	−	0.550774i
$833$	−24.6229	+	7.80674i	−0.853133	+	0.270487i
$834$	19.0517	−	9.26305i	0.659708	−	0.320753i
$835$	34.8584	+	3.32075i	1.20632	+	0.114919i
$836$	−4.69575	−	11.7055i	−0.162406	−	0.404845i
$837$	11.7286	+	43.7717i	0.405399	+	1.51297i
$838$	2.44981	+	12.6868i	0.0846272	+	0.438258i
$839$	3.30560			0.114122			0.0570609	−	0.998371i	$-0.481827\pi$
$839$	3.30560			0.114122			0.0570609	+	0.998371i	$0.481827\pi$
$840$	−16.9927	−	0.402946i	−0.586303	−	0.0139030i
$841$	−28.7682			−0.992006
$842$	1.28316	+	6.64510i	0.0442207	+	0.229005i
$843$	7.57995	+	28.2888i	0.261067	+	0.974317i
$844$	−1.09044	+	0.437437i	−0.0375345	+	0.0150572i
$845$	32.6329	−	26.9562i	1.12260	−	0.927320i
$846$	−5.45450	+	2.65201i	−0.187530	+	0.0911778i
$847$	−16.4341	+	9.99038i	−0.564682	+	0.343274i
$848$	−0.619350	+	1.01933i	−0.0212686	+	0.0350040i
$849$	5.12861	−	2.96100i	0.176013	−	0.101621i
$850$	−6.77347	−	25.1986i	−0.232328	−	0.864305i
$851$	22.8906	−	39.6477i	0.784680	−	1.35910i
$852$	18.7730	−	14.0739i	0.643153	−	0.482165i
$853$	9.13633	+	9.13633i	0.312822	+	0.312822i	0.846002	−	0.533180i	$-0.179003\pi$
$853$	9.13633	+	9.13633i	0.312822	+	0.312822i	−0.533180	+	0.846002i	$0.679003\pi$
$854$	−16.0573	−	17.6933i	−0.549470	−	0.605452i
$855$	14.1689	−	2.38587i	0.484567	−	0.0815949i
$856$	10.7962	+	33.6509i	0.369006	+	1.15016i
$857$	−20.0320	+	5.36756i	−0.684281	+	0.183352i	−0.584179	−	0.811625i	$-0.698583\pi$
$857$	−20.0320	+	5.36756i	−0.684281	+	0.183352i	−0.100101	+	0.994977i	$0.531917\pi$
$858$	10.2716	+	11.8457i	0.350668	+	0.404405i
$859$	28.7159	−	16.5791i	0.979775	−	0.565673i	0.0775726	−	0.996987i	$-0.475283\pi$
$859$	28.7159	−	16.5791i	0.979775	−	0.565673i	0.902202	+	0.431314i	$0.141950\pi$
$860$	−21.8564	+	6.43960i	−0.745296	+	0.219589i
$861$	−14.3758	+	4.20260i	−0.489926	+	0.143224i
$862$	40.9316	+	14.1504i	1.39414	+	0.481966i
$863$	−10.3521	+	38.6344i	−0.352388	+	1.31513i	0.531351	+	0.847152i	$0.321684\pi$
$863$	−10.3521	+	38.6344i	−0.352388	+	1.31513i	−0.883739	+	0.467979i	$0.844982\pi$
$864$	−28.1444	+	4.78363i	−0.957491	+	0.162743i
$865$	−4.41358	+	2.01680i	−0.150066	+	0.0685733i
$866$	9.21588	−	13.6268i	0.313168	−	0.463057i
$867$	−2.42993	−	2.42993i	−0.0825247	−	0.0825247i
$868$	−5.66367	+	47.1759i	−0.192237	+	1.60125i
$869$	10.3132			0.349852
$870$	0.641695	−	1.40725i	0.0217555	−	0.0477104i
$871$	25.5734	+	14.7648i	0.866523	+	0.500287i
$872$	0.723554	+	14.8593i	0.0245026	+	0.503199i
$873$	−0.269966	−	0.0723371i	−0.00913696	−	0.00244824i
$874$	7.71488	+	15.8675i	0.260960	+	0.536728i
$875$	14.7769	+	25.6251i	0.499550	+	0.866285i
$876$	10.0284	−	12.7707i	0.338830	−	0.431482i
$877$	39.2977	+	10.5298i	1.32699	+	0.355565i	0.851591	−	0.524206i	$-0.175638\pi$
$877$	39.2977	+	10.5298i	1.32699	+	0.355565i	0.475397	+	0.879771i	$0.342305\pi$
$878$	21.4166	+	24.6985i	0.722774	+	0.833533i
$879$	−8.49036	+	14.7057i	−0.286373	+	0.496012i
$880$	10.3307	−	13.8471i	0.348246	−	0.466786i
$881$	−26.9235			−0.907075			−0.453538	−	0.891237i	$-0.649838\pi$
$881$	−26.9235			−0.907075			−0.453538	+	0.891237i	$0.649838\pi$
$882$	14.1283	−	13.4169i	0.475724	−	0.451769i
$883$	1.49558	−	1.49558i	0.0503303	−	0.0503303i	−0.681494	−	0.731824i	$-0.738669\pi$
$883$	1.49558	−	1.49558i	0.0503303	−	0.0503303i	0.731824	+	0.681494i	$0.238669\pi$
$884$	41.2823	+	5.90585i	1.38847	+	0.198635i
$885$	−21.1291	+	9.65503i	−0.710248	+	0.324550i
$886$	−40.7778	−	2.90206i	−1.36996	−	0.0974967i
$887$	−28.1940	−	7.55455i	−0.946661	−	0.253657i	−0.247716	−	0.968833i	$-0.579680\pi$
$887$	−28.1940	−	7.55455i	−0.946661	−	0.253657i	−0.698945	+	0.715175i	$0.746347\pi$
$888$	18.6400	+	28.9373i	0.625519	+	0.971072i
$889$	12.0572	+	11.5238i	0.404384	+	0.386497i
$890$	20.1568	+	3.37762i	0.675656	+	0.113218i
$891$	0.751534	+	1.30170i	0.0251773	+	0.0436084i
$892$	−12.6486	−	5.40592i	−0.423506	−	0.181004i
$893$	−6.87168	+	1.84126i	−0.229952	+	0.0616154i
$894$	4.42619	−	6.54466i	0.148034	−	0.218886i
$895$	0.300834	+	1.78656i	0.0100558	+	0.0597182i
$896$	−29.2573	−	6.32544i	−0.977417	−	0.211318i
$897$	−15.5094	−	15.5094i	−0.517843	−	0.517843i
$898$	−6.79865	−	35.2081i	−0.226874	−	1.17491i
$899$	−3.74427	−	2.16175i	−0.124878	−	0.0720985i
$900$	12.9058	+	14.8596i	0.430194	+	0.495320i
$901$	−0.952922	+	0.550170i	−0.0317464	+	0.0183288i
$902$	4.97392	−	14.3876i	0.165613	−	0.479054i
$903$	−6.57653	+	12.0101i	−0.218853	+	0.399672i
$904$	6.01733	−	27.8025i	0.200133	−	0.924696i
$905$	−17.5111	+	14.4650i	−0.582090	+	0.480832i
$906$	0.239455	−	3.36466i	0.00795536	−	0.111783i
$907$	13.4780	−	3.61141i	0.447529	−	0.119915i	−0.0280140	−	0.999608i	$-0.508918\pi$
$907$	13.4780	−	3.61141i	0.447529	−	0.119915i	0.475543	+	0.879692i	$0.342252\pi$
$908$	29.6880	−	22.2568i	0.985230	−	0.738616i
$909$	13.3211			0.441833
$910$	−46.9452	+	5.58384i	−1.55622	+	0.185102i
$911$			4.02039i			0.133202i	0.997780	+	0.0666008i	$0.0212154\pi$
$911$			4.02039i			0.133202i	−0.997780	+	0.0666008i	$0.978785\pi$
$912$	−13.2623	−	0.297027i	−0.439158	−	0.00983556i
$913$	−4.24246	−	15.8331i	−0.140405	−	0.523999i
$914$	−0.393760	+	5.53283i	−0.0130244	+	0.183010i
$915$	1.37553	−	14.4391i	0.0454735	−	0.477342i
$916$	30.5688	+	24.0047i	1.01002	+	0.793139i
$917$	−9.16569	+	5.57187i	−0.302678	+	0.184000i
$918$	−24.8910	−	8.60504i	−0.821524	−	0.284009i
$919$	23.7150	+	41.0757i	0.782287	+	1.35496i	0.930606	+	0.366021i	$0.119280\pi$
$919$	23.7150	+	41.0757i	0.782287	+	1.35496i	−0.148319	+	0.988940i	$0.547386\pi$
$920$	−13.0402	+	20.3481i	−0.429924	+	0.670858i
$921$	−5.91605	+	10.2469i	−0.194940	+	0.337647i
$922$	4.20221	+	21.7619i	0.138392	+	0.716691i
$923$	46.1447	−	46.1447i	1.51887	−	1.51887i
$924$	−1.47257	−	10.2772i	−0.0484439	−	0.338093i
$925$	26.1501	−	53.8934i	0.859811	−	1.77200i
$926$	−4.62190	−	3.12582i	−0.151885	−	0.102721i
$927$	−1.69600	−	6.32955i	−0.0557039	−	0.207890i
$928$	1.57601	−	2.22145i	0.0517350	−	0.0729228i
$929$	−2.43765	+	1.40738i	−0.0799767	+	0.0461745i	−0.539455	−	0.842014i	$-0.681370\pi$
$929$	−2.43765	+	1.40738i	−0.0799767	+	0.0461745i	0.459478	+	0.888189i	$0.348036\pi$
$930$	−23.4859	+	16.7446i	−0.770133	+	0.549076i
$931$	19.2552	−	12.3101i	0.631063	−	0.403447i
$932$	10.8479	−	1.30477i	0.355336	−	0.0427392i
$933$	1.59372	−	5.94785i	0.0521761	−	0.194724i
$934$	2.30941	−	32.4503i	0.0755663	−	1.06180i
$935$	14.4960	−	6.62401i	0.474071	−	0.216628i
$936$	−29.9520	+	9.60946i	−0.979010	+	0.314095i
$937$	41.0565	+	41.0565i	1.34126	+	1.34126i	0.894811	+	0.446445i	$0.147310\pi$
$937$	41.0565	+	41.0565i	1.34126	+	1.34126i	0.446445	+	0.894811i	$0.352690\pi$
$938$	−8.94553	−	17.3875i	−0.292082	−	0.567723i
$939$			24.7364i			0.807241i
$940$	−7.05885	−	6.71813i	−0.230234	−	0.219121i
$941$	43.5383	+	25.1368i	1.41931	+	0.819437i	0.996238	−	0.0866607i	$-0.0276196\pi$
$941$	43.5383	+	25.1368i	1.41931	+	0.819437i	0.423069	+	0.906098i	$0.360953\pi$
$942$	−6.86019	+	5.94861i	−0.223517	+	0.193816i
$943$	−5.51179	+	20.5703i	−0.179489	+	0.669861i
$944$	−39.7433	+	9.70085i	−1.29353	+	0.315736i
$945$	29.7781	+	2.15863i	0.968682	+	0.0702201i
$946$	−6.08551	−	12.5163i	−0.197857	−	0.406942i
$947$	−2.73614	+	10.2114i	−0.0889128	+	0.331827i	−0.996026	−	0.0890589i	$-0.971614\pi$
$947$	−2.73614	+	10.2114i	−0.0889128	+	0.331827i	0.907114	+	0.420886i	$0.138281\pi$
$948$	4.26308	−	9.97463i	0.138458	−	0.323961i
$949$	22.5814	−	39.1121i	0.733022	−	1.26963i
$950$	11.5589	+	19.9838i	0.375020	+	0.648359i
$951$			32.7096i			1.06068i
$952$	−20.8672	−	18.0863i	−0.676308	−	0.586180i
$953$	−9.57933	+	9.57933i	−0.310305	+	0.310305i	−0.845028	−	0.534723i	$-0.820416\pi$
$953$	−9.57933	+	9.57933i	−0.310305	+	0.310305i	0.534723	+	0.845028i	$0.320416\pi$
$954$	0.464963	−	0.687504i	0.0150537	−	0.0222588i
$955$	33.9071	+	12.6381i	1.09721	+	0.408959i
$956$	−6.77363	+	2.71728i	−0.219075	+	0.0878832i
$957$	0.912512	+	0.244507i	0.0294973	+	0.00790378i
$958$	18.5415	−	53.6331i	0.599048	−	1.73281i
$959$	−17.1730	−	58.7434i	−0.554544	−	1.89692i
$960$	−9.12222	−	15.7153i	−0.294418	−	0.507211i
$961$	24.8150	+	42.9808i	0.800483	+	1.38648i
$962$	62.7204	+	72.3318i	2.02219	+	2.33207i
$963$	−6.36478	−	23.7537i	−0.205102	−	0.765452i
$964$	4.21639	−	29.4728i	0.135801	−	0.949257i
$965$	−33.1217	+	46.5349i	−1.06623	+	1.49801i
$966$	3.07541	+	14.1945i	0.0989497	+	0.456699i
$967$	28.2387	−	28.2387i	0.908097	−	0.908097i	−0.0880216	−	0.996119i	$-0.528054\pi$
$967$	28.2387	−	28.2387i	0.908097	−	0.908097i	0.996119	+	0.0880216i	$0.0280545\pi$
$968$	−18.2847	−	9.40201i	−0.587693	−	0.302192i
$969$	−10.5983	−	6.11896i	−0.340468	−	0.196569i
$970$	−0.0429425	−	0.447001i	−0.00137880	−	0.0143523i
$971$	−5.46758	−	9.47012i	−0.175463	−	0.303911i	0.764858	−	0.644198i	$-0.222809\pi$
$971$	−5.46758	−	9.47012i	−0.175463	−	0.303911i	−0.940321	+	0.340288i	$0.889476\pi$
$972$	31.6327	−	3.80473i	1.01462	−	0.122037i
$973$	−39.0060	+	0.882213i	−1.25048	+	0.0282825i
$974$	−22.3872	−	46.0449i	−0.717334	−	1.47537i
$975$	−21.6977	−	18.7842i	−0.694881	−	0.601577i
$976$	7.16180	−	24.5185i	0.229244	−	0.784817i
$977$	36.7229	−	9.83986i	1.17487	−	0.314805i	0.381979	−	0.924171i	$-0.375243\pi$
$977$	36.7229	−	9.83986i	1.17487	−	0.314805i	0.792889	+	0.609366i	$0.208576\pi$
$978$	4.66611	+	24.1643i	0.149206	+	0.772690i
$979$			12.4835i			0.398974i
$980$	28.1386	+	13.7193i	0.898855	+	0.438245i
$981$		−	10.3521i		−	0.330517i
$982$	−22.3423	+	4.31427i	−0.712970	+	0.137674i
$983$	20.0861	−	5.38205i	0.640647	−	0.171661i	0.0761503	−	0.997096i	$-0.475737\pi$
$983$	20.0861	−	5.38205i	0.640647	−	0.171661i	0.564496	+	0.825436i	$0.309070\pi$
$984$	−11.8592	−	10.7579i	−0.378057	−	0.342949i
$985$	−17.9522	−	1.71019i	−0.572004	−	0.0544913i
$986$	2.25977	−	1.09871i	0.0719658	−	0.0349901i
$987$	−5.85464	+	0.132417i	−0.186355	+	0.00421486i
$988$	−36.6324	+	4.40609i	−1.16543	+	0.140176i
$989$	9.73466	+	16.8609i	0.309544	+	0.536146i
$990$	−7.64873	+	9.27451i	−0.243093	+	0.294763i
$991$	−33.5694	−	19.3813i	−1.06637	−	0.615667i	−0.139180	−	0.990267i	$-0.544447\pi$
$991$	−33.5694	−	19.3813i	−1.06637	−	0.615667i	−0.927187	+	0.374600i	$0.877780\pi$
$992$	−46.1678	+	21.1824i	−1.46583	+	0.672541i
$993$	−4.63022	+	4.63022i	−0.146935	+	0.146935i
$994$	−42.2325	+	9.15021i	−1.33953	+	0.290227i
$995$	−41.8780	+	7.05172i	−1.32762	+	0.223554i
$996$	−17.0669	−	2.44160i	−0.540787	−	0.0773650i
$997$	6.62599	+	24.7285i	0.209847	+	0.783161i	0.987917	+	0.154983i	$0.0495323\pi$
$997$	6.62599	+	24.7285i	0.209847	+	0.783161i	−0.778070	+	0.628178i	$0.783801\pi$
$998$	31.4544	−	27.2747i	0.995671	−	0.863367i
$999$	−30.2306	−	52.3609i	−0.956454	−	1.65663i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.67.3	✓	176
5.3	odd	4	inner	280.2.br.a.123.26	yes	176
7.2	even	3	inner	280.2.br.a.107.33	yes	176
8.3	odd	2	inner	280.2.br.a.67.35	yes	176
35.23	odd	12	inner	280.2.br.a.163.35	yes	176
40.3	even	4	inner	280.2.br.a.123.33	yes	176
56.51	odd	6	inner	280.2.br.a.107.26	yes	176
280.163	even	12	inner	280.2.br.a.163.3	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.3	✓	176	1.1	even	1	trivial
280.2.br.a.67.35	yes	176	8.3	odd	2	inner
280.2.br.a.107.26	yes	176	56.51	odd	6	inner
280.2.br.a.107.33	yes	176	7.2	even	3	inner
280.2.br.a.123.26	yes	176	5.3	odd	4	inner
280.2.br.a.123.33	yes	176	40.3	even	4	inner
280.2.br.a.163.3	yes	176	280.163	even	12	inner
280.2.br.a.163.35	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)

\(f(q)\)	\(=\)	\(q+(-1.38856 + 0.268130i) q^{2} +(0.262906 + 0.981180i) q^{3} +(1.85621 - 0.744631i) q^{4} +(-1.42407 - 1.72396i) q^{5} +(-0.628146 - 1.29194i) q^{6} +(0.0598247 + 2.64507i) q^{7} +(-2.37781 + 1.53167i) q^{8} +(1.70448 - 0.984083i) q^{9} +O(q^{10})\)	\(q+(-1.38856 + 0.268130i) q^{2} +(0.262906 + 0.981180i) q^{3} +(1.85621 - 0.744631i) q^{4} +(-1.42407 - 1.72396i) q^{5} +(-0.628146 - 1.29194i) q^{6} +(0.0598247 + 2.64507i) q^{7} +(-2.37781 + 1.53167i) q^{8} +(1.70448 - 0.984083i) q^{9} +(2.43965 + 2.01199i) q^{10} +(-0.965766 + 1.67276i) q^{11} +(1.21863 + 1.62551i) q^{12} +(3.99556 + 3.99556i) q^{13} +(-0.792295 - 3.65681i) q^{14} +(1.31712 - 1.85051i) q^{15} +(2.89105 - 2.76439i) q^{16} +(3.56438 - 0.955073i) q^{17} +(-2.10292 + 1.82348i) q^{18} +(-2.82743 + 1.63242i) q^{19} +(-3.92708 - 2.13963i) q^{20} +(-2.57957 + 0.754106i) q^{21} +(0.892510 - 2.58168i) q^{22} +(-0.989026 + 3.69109i) q^{23} +(-2.12799 - 1.93037i) q^{24} +(-0.944072 + 4.91006i) q^{25} +(-6.61942 - 4.47676i) q^{26} +(3.56850 + 3.56850i) q^{27} +(2.08065 + 4.86527i) q^{28} -0.481491 q^{29} +(-1.33273 + 2.92270i) q^{30} +(7.77640 + 4.48971i) q^{31} +(-3.27319 + 4.61370i) q^{32} +(-1.89518 - 0.507812i) q^{33} +(-4.69328 + 2.28190i) q^{34} +(4.47481 - 3.86990i) q^{35} +(2.43110 - 3.09588i) q^{36} +(-11.5723 - 3.10079i) q^{37} +(3.48837 - 3.02484i) q^{38} +(-2.86991 + 4.97082i) q^{39} +(6.02670 + 1.91804i) q^{40} +5.57295 q^{41} +(3.37969 - 1.73878i) q^{42} +(3.60267 - 3.60267i) q^{43} +(-0.547081 + 3.82413i) q^{44} +(-4.12381 - 1.53706i) q^{45} +(0.383630 - 5.39050i) q^{46} +(2.10475 + 0.563966i) q^{47} +(3.47244 + 2.10986i) q^{48} +(-6.99284 + 0.316481i) q^{49} +(-0.00563375 - 7.07107i) q^{50} +(1.87420 + 3.24621i) q^{51} +(10.3918 + 4.44139i) q^{52} +(-0.288025 + 0.0771760i) q^{53} +(-5.91191 - 3.99827i) q^{54} +(4.25908 - 0.717173i) q^{55} +(-4.19364 - 6.19785i) q^{56} +(-2.34505 - 2.34505i) q^{57} +(0.668580 - 0.129102i) q^{58} +(-8.85729 - 5.11376i) q^{59} +(1.06691 - 4.41570i) q^{60} +(5.53023 - 3.19288i) q^{61} +(-12.0019 - 4.14915i) q^{62} +(2.70494 + 4.44961i) q^{63} +(3.30795 - 7.28405i) q^{64} +(1.19824 - 12.5781i) q^{65} +(2.76774 + 0.196974i) q^{66} +(5.04789 - 1.35258i) q^{67} +(5.90507 - 4.42697i) q^{68} -3.88165 q^{69} +(-5.17591 + 6.57342i) q^{70} -11.5490i q^{71} +(-2.54564 + 4.95067i) q^{72} +(-2.06863 - 7.72025i) q^{73} +(16.9003 + 1.20276i) q^{74} +(-5.06586 + 0.364583i) q^{75} +(-4.03277 + 5.13551i) q^{76} +(-4.48234 - 2.45445i) q^{77} +(2.65222 - 7.67181i) q^{78} +(-2.66970 - 4.62406i) q^{79} +(-8.88274 - 1.04738i) q^{80} +(0.389087 - 0.673919i) q^{81} +(-7.73840 + 1.49428i) q^{82} +(-6.00074 + 6.00074i) q^{83} +(-4.22669 + 3.32061i) q^{84} +(-6.72242 - 4.78476i) q^{85} +(-4.03655 + 5.96852i) q^{86} +(-0.126587 - 0.472429i) q^{87} +(-0.265709 - 5.45673i) q^{88} +(5.59712 - 3.23150i) q^{89} +(6.13830 + 1.02858i) q^{90} +(-10.3295 + 10.8076i) q^{91} +(0.912662 + 7.58791i) q^{92} +(-2.36075 + 8.81043i) q^{93} +(-3.07380 - 0.218755i) q^{94} +(6.84068 + 2.54971i) q^{95} +(-5.38741 - 1.99861i) q^{96} +(-0.100413 - 0.100413i) q^{97} +(9.62514 - 2.31445i) q^{98} +3.80157i 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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