LMFDB - Embedded newform 230.2.j.a.219.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("230.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			219.5
Character	$\chi$	$=$	230.219
Dual form			230.2.j.a.209.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 - 0.841254i) q^{2} +(1.66752 + 0.239753i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.229235 + 2.22429i) q^{5} +(-0.699835 - 1.53242i) q^{6} +(1.93680 - 1.67825i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-0.155349 - 0.0456147i) q^{9} +O(q^{10})$	\(q+(-0.540641 - 0.841254i) q^{2} +(1.66752 + 0.239753i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.229235 + 2.22429i) q^{5} +(-0.699835 - 1.53242i) q^{6} +(1.93680 - 1.67825i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-0.155349 - 0.0456147i) q^{9} +(1.99512 - 1.00970i) q^{10} +(-0.0282911 - 0.0181816i) q^{11} +(-0.910798 + 1.41723i) q^{12} +(5.06591 + 4.38964i) q^{13} +(-2.45895 - 0.722013i) q^{14} +(-0.915532 + 3.65407i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(2.40187 - 1.09690i) q^{17} +(0.0456147 + 0.155349i) q^{18} +(0.0156543 - 0.0342782i) q^{19} +(-1.92805 - 1.13252i) q^{20} +(3.63202 - 2.33416i) q^{21} +0.0336297i q^{22} +(-4.09580 - 2.49489i) q^{23} +1.68466 q^{24} +(-4.89490 - 1.01977i) q^{25} +(0.953960 - 6.63493i) q^{26} +(-4.84538 - 2.21281i) q^{27} +(0.722013 + 2.45895i) q^{28} +(0.504295 + 1.10425i) q^{29} +(3.56898 - 1.20535i) q^{30} +(-0.815274 - 5.67036i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(-0.0428168 - 0.0371010i) q^{33} +(-2.22132 - 1.42755i) q^{34} +(3.28893 + 4.69272i) q^{35} +(0.106027 - 0.122362i) q^{36} +(1.14821 - 3.91044i) q^{37} +(-0.0373000 + 0.00536294i) q^{38} +(7.39506 + 8.53436i) q^{39} +(0.0896473 + 2.23427i) q^{40} +(-10.1722 + 2.98682i) q^{41} +(-3.92723 - 1.79351i) q^{42} +(1.37653 + 0.197915i) q^{43} +(0.0282911 - 0.0181816i) q^{44} +(0.137072 - 0.335085i) q^{45} +(0.115523 + 4.79444i) q^{46} -4.78833i q^{47} +(-0.910798 - 1.41723i) q^{48} +(-0.0615181 + 0.427867i) q^{49} +(1.78850 + 4.66918i) q^{50} +(4.26814 - 1.25324i) q^{51} +(-6.09741 + 2.78459i) q^{52} +(-7.67279 + 6.64851i) q^{53} +(0.758076 + 5.27253i) q^{54} +(0.0469264 - 0.0587597i) q^{55} +(1.67825 - 1.93680i) q^{56} +(0.0343221 - 0.0534063i) q^{57} +(0.656313 - 1.02124i) q^{58} +(-2.32313 + 2.68104i) q^{59} +(-2.94354 - 2.35075i) q^{60} +(-1.93535 - 13.4606i) q^{61} +(-4.32944 + 3.75148i) q^{62} +(-0.377434 + 0.172368i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-10.9251 + 10.2618i) q^{65} +(-0.00806281 + 0.0560781i) q^{66} +(6.64936 + 10.3466i) q^{67} +2.64048i q^{68} +(-6.23165 - 5.14224i) q^{69} +(2.16964 - 5.30390i) q^{70} +(-6.16630 + 3.96284i) q^{71} +(-0.160260 - 0.0230419i) q^{72} +(-4.28538 - 1.95707i) q^{73} +(-3.91044 + 1.14821i) q^{74} +(-7.91784 - 2.87405i) q^{75} +(0.0246775 + 0.0284794i) q^{76} +(-0.0853076 + 0.0122654i) q^{77} +(3.18149 - 10.8351i) q^{78} +(6.36931 - 7.35057i) q^{79} +(1.83112 - 1.28335i) q^{80} +(-7.14061 - 4.58899i) q^{81} +(8.01217 + 6.94259i) q^{82} +(2.38292 - 8.11547i) q^{83} +(0.614428 + 4.27344i) q^{84} +(1.88922 + 5.59389i) q^{85} +(-0.577711 - 1.26501i) q^{86} +(0.576173 + 1.96226i) q^{87} +(-0.0305907 - 0.0139703i) q^{88} +(0.613571 - 4.26748i) q^{89} +(-0.355998 + 0.0658487i) q^{90} +17.1786 q^{91} +(3.97088 - 2.68925i) q^{92} -9.65087i q^{93} +(-4.02820 + 2.58877i) q^{94} +(0.0726560 + 0.0426775i) q^{95} +(-0.699835 + 1.53242i) q^{96} +(4.15067 + 14.1359i) q^{97} +(0.393204 - 0.179570i) q^{98} +(0.00356566 + 0.00411499i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{10}{11}\right)$

Coefficient data

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

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

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

$2$	−0.540641	−	0.841254i	−0.382291	−	0.594856i
$2$	−0.540641	−	0.841254i	−0.382291	−	0.594856i
$3$	1.66752	+	0.239753i	0.962741	+	0.138421i	0.605722	−	0.795676i	$-0.292884\pi$
$3$	1.66752	+	0.239753i	0.962741	+	0.138421i	0.357019	+	0.934097i	$0.383793\pi$
$4$	−0.415415	+	0.909632i	−0.207708	+	0.454816i
$5$	−0.229235	+	2.22429i	−0.102517	+	0.994731i
$5$	−0.229235	+	2.22429i	−0.102517	+	0.994731i
$6$	−0.699835	−	1.53242i	−0.285706	−	0.625610i
$7$	1.93680	−	1.67825i	0.732043	−	0.634319i	−0.206912	−	0.978360i	$-0.566341\pi$
$7$	1.93680	−	1.67825i	0.732043	−	0.634319i	0.938955	+	0.344041i	$0.111796\pi$
$8$	0.989821	−	0.142315i	0.349955	−	0.0503159i
$9$	−0.155349	−	0.0456147i	−0.0517831	−	0.0152049i
$10$	1.99512	−	1.00970i	0.630913	−	0.319294i
$11$	−0.0282911	−	0.0181816i	−0.00853009	−	0.00548196i	0.536369	−	0.843984i	$-0.319796\pi$
$11$	−0.0282911	−	0.0181816i	−0.00853009	−	0.00548196i	−0.544899	+	0.838502i	$0.683432\pi$
$12$	−0.910798	+	1.41723i	−0.262925	+	0.409119i
$13$	5.06591	+	4.38964i	1.40503	+	1.21747i	0.943941	+	0.330113i	$0.107087\pi$
$13$	5.06591	+	4.38964i	1.40503	+	1.21747i	0.461090	+	0.887353i	$0.347458\pi$
$14$	−2.45895	−	0.722013i	−0.657182	−	0.192966i
$15$	−0.915532	+	3.65407i	−0.236389	+	0.943478i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	2.40187	−	1.09690i	0.582539	−	0.266037i	−0.102273	−	0.994756i	$-0.532612\pi$
$17$	2.40187	−	1.09690i	0.582539	−	0.266037i	0.684812	+	0.728720i	$0.259884\pi$
$18$	0.0456147	+	0.155349i	0.0107515	+	0.0366162i
$19$	0.0156543	−	0.0342782i	0.00359135	−	0.00786396i	−0.907828	−	0.419343i	$-0.862260\pi$
$19$	0.0156543	−	0.0342782i	0.00359135	−	0.00786396i	0.911419	+	0.411479i	$0.134988\pi$
$20$	−1.92805	−	1.13252i	−0.431126	−	0.253240i
$21$	3.63202	−	2.33416i	0.792571	−	0.509355i
$22$			0.0336297i			0.00716988i
$23$	−4.09580	−	2.49489i	−0.854033	−	0.520220i
$23$	−4.09580	−	2.49489i	−0.854033	−	0.520220i
$24$	1.68466			0.343881
$25$	−4.89490	−	1.01977i	−0.978981	−	0.203954i
$26$	0.953960	−	6.63493i	0.187087	−	1.30122i
$27$	−4.84538	−	2.21281i	−0.932495	−	0.425856i
$28$	0.722013	+	2.45895i	0.136448	+	0.464698i
$29$	0.504295	+	1.10425i	0.0936452	+	0.205054i	0.950658	−	0.310241i	$-0.100410\pi$
$29$	0.504295	+	1.10425i	0.0936452	+	0.205054i	−0.857013	+	0.515295i	$0.827682\pi$
$30$	3.56898	−	1.20535i	0.651603	−	0.220065i
$31$	−0.815274	−	5.67036i	−0.146428	−	1.01843i	−0.922006	−	0.387175i	$-0.873451\pi$
$31$	−0.815274	−	5.67036i	−0.146428	−	1.01843i	0.775579	−	0.631251i	$-0.217458\pi$
$32$	−0.281733	+	0.959493i	−0.0498038	+	0.169616i
$33$	−0.0428168	−	0.0371010i	−0.00745345	−	0.00645845i
$34$	−2.22132	−	1.42755i	−0.380953	−	0.244823i
$35$	3.28893	+	4.69272i	0.555930	+	0.793215i
$36$	0.106027	−	0.122362i	0.0176712	−	0.0203936i
$37$	1.14821	−	3.91044i	0.188765	−	0.642873i	−0.809667	−	0.586889i	$-0.800352\pi$
$37$	1.14821	−	3.91044i	0.188765	−	0.642873i	0.998432	−	0.0559836i	$-0.0178294\pi$
$38$	−0.0373000	+	0.00536294i	−0.00605086	+	0.000869983i
$39$	7.39506	+	8.53436i	1.18416	+	1.36659i
$40$	0.0896473	+	2.23427i	0.0141745	+	0.353269i
$41$	−10.1722	+	2.98682i	−1.58863	+	0.466463i	−0.952353	−	0.304999i	$-0.901344\pi$
$41$	−10.1722	+	2.98682i	−1.58863	+	0.466463i	−0.636275	+	0.771462i	$0.719526\pi$
$42$	−3.92723	−	1.79351i	−0.605985	−	0.276744i
$43$	1.37653	+	0.197915i	0.209919	+	0.0301817i	0.246472	−	0.969150i	$-0.420729\pi$
$43$	1.37653	+	0.197915i	0.209919	+	0.0301817i	−0.0365531	+	0.999332i	$0.511638\pi$
$44$	0.0282911	−	0.0181816i	0.00426505	−	0.00274098i
$45$	0.137072	−	0.335085i	0.0204334	−	0.0499515i
$46$	0.115523	+	4.79444i	0.0170330	+	0.706902i
$47$		−	4.78833i		−	0.698450i	−0.937039	−	0.349225i	$-0.886445\pi$
$47$		−	4.78833i		−	0.698450i	0.937039	−	0.349225i	$-0.113555\pi$
$48$	−0.910798	−	1.41723i	−0.131462	−	0.204559i
$49$	−0.0615181	+	0.427867i	−0.00878829	+	0.0611239i
$50$	1.78850	+	4.66918i	0.252932	+	0.660322i
$51$	4.26814	−	1.25324i	0.597659	−	0.175489i
$52$	−6.09741	+	2.78459i	−0.845559	+	0.386154i
$53$	−7.67279	+	6.64851i	−1.05394	+	0.913243i	−0.996373	−	0.0850983i	$-0.972880\pi$
$53$	−7.67279	+	6.64851i	−1.05394	+	0.913243i	−0.0575664	+	0.998342i	$0.518334\pi$
$54$	0.758076	+	5.27253i	0.103161	+	0.717501i
$55$	0.0469264	−	0.0587597i	0.00632755	−	0.00792316i
$56$	1.67825	−	1.93680i	0.224266	−	0.258816i
$57$	0.0343221	−	0.0534063i	0.00454608	−	0.00707384i
$58$	0.656313	−	1.02124i	0.0861782	−	0.134096i
$59$	−2.32313	+	2.68104i	−0.302446	+	0.349041i	−0.886546	−	0.462641i	$-0.846902\pi$
$59$	−2.32313	+	2.68104i	−0.302446	+	0.349041i	0.584100	+	0.811682i	$0.301448\pi$
$60$	−2.94354	−	2.35075i	−0.380009	−	0.303481i
$61$	−1.93535	−	13.4606i	−0.247796	−	1.72346i	−0.610900	−	0.791708i	$-0.709192\pi$
$61$	−1.93535	−	13.4606i	−0.247796	−	1.72346i	0.363104	−	0.931749i	$-0.381717\pi$
$62$	−4.32944	+	3.75148i	−0.549839	+	0.476438i
$63$	−0.377434	+	0.172368i	−0.0475522	+	0.0217164i
$64$	0.959493	−	0.281733i	0.119937	−	0.0352166i
$65$	−10.9251	+	10.2618i	−1.35509	+	1.27282i
$66$	−0.00806281	+	0.0560781i	−0.000992464	+	0.00690274i
$67$	6.64936	+	10.3466i	0.812348	+	1.26404i	0.961385	+	0.275207i	$0.0887464\pi$
$67$	6.64936	+	10.3466i	0.812348	+	1.26404i	−0.149037	+	0.988832i	$0.547617\pi$
$68$			2.64048i			0.320206i
$69$	−6.23165	−	5.14224i	−0.750203	−	0.619053i
$70$	2.16964	−	5.30390i	0.259322	−	0.633937i
$71$	−6.16630	+	3.96284i	−0.731805	+	0.470303i	−0.852725	−	0.522360i	$-0.825052\pi$
$71$	−6.16630	+	3.96284i	−0.731805	+	0.470303i	0.120920	+	0.992662i	$0.461415\pi$
$72$	−0.160260	−	0.0230419i	−0.0188868	−	0.00271551i
$73$	−4.28538	−	1.95707i	−0.501566	−	0.229057i	0.148533	−	0.988908i	$-0.452545\pi$
$73$	−4.28538	−	1.95707i	−0.501566	−	0.229057i	−0.650098	+	0.759850i	$0.725272\pi$
$74$	−3.91044	+	1.14821i	−0.454580	+	0.133477i
$75$	−7.91784	−	2.87405i	−0.914273	−	0.331866i
$76$	0.0246775	+	0.0284794i	0.00283070	+	0.00326681i
$77$	−0.0853076	+	0.0122654i	−0.00972170	+	0.00139777i
$78$	3.18149	−	10.8351i	0.360232	−	1.22684i
$79$	6.36931	−	7.35057i	0.716603	−	0.827004i	−0.274291	−	0.961647i	$-0.588443\pi$
$79$	6.36931	−	7.35057i	0.716603	−	0.827004i	0.990894	+	0.134643i	$0.0429887\pi$
$80$	1.83112	−	1.28335i	0.204726	−	0.143483i
$81$	−7.14061	−	4.58899i	−0.793401	−	0.509888i
$82$	8.01217	+	6.94259i	0.884796	+	0.766681i
$83$	2.38292	−	8.11547i	0.261559	−	0.890789i	−0.719074	−	0.694934i	$-0.755434\pi$
$83$	2.38292	−	8.11547i	0.261559	−	0.890789i	0.980633	−	0.195855i	$-0.0627482\pi$
$84$	0.614428	+	4.27344i	0.0670396	+	0.466271i
$85$	1.88922	+	5.59389i	0.204915	+	0.606743i
$86$	−0.577711	−	1.26501i	−0.0622962	−	0.136410i
$87$	0.576173	+	1.96226i	0.0617722	+	0.210377i
$88$	−0.0305907	−	0.0139703i	−0.00326098	−	0.00148924i
$89$	0.613571	−	4.26748i	0.0650384	−	0.452352i	−0.931115	−	0.364726i	$-0.881163\pi$
$89$	0.613571	−	4.26748i	0.0650384	−	0.452352i	0.996153	−	0.0876263i	$-0.0279281\pi$
$90$	−0.355998	+	0.0658487i	−0.0375255	+	0.00694106i
$91$	17.1786			1.80081
$92$	3.97088	−	2.68925i	0.413993	−	0.280374i
$93$		−	9.65087i		−	1.00075i
$94$	−4.02820	+	2.58877i	−0.415477	+	0.267011i
$95$	0.0726560	+	0.0426775i	0.00745435	+	0.00437862i
$96$	−0.699835	+	1.53242i	−0.0714266	+	0.156402i
$97$	4.15067	+	14.1359i	0.421436	+	1.43528i	0.847601	+	0.530634i	$0.178046\pi$
$97$	4.15067	+	14.1359i	0.421436	+	1.43528i	−0.426165	+	0.904646i	$0.640136\pi$
$98$	0.393204	−	0.179570i	0.0397196	−	0.0181393i
$99$	0.00356566	+	0.00411499i	0.000358362	+	0.000413572i
$100$	2.96103	−	4.02893i	0.296103	−	0.402893i
$101$	−0.906101	−	0.266055i	−0.0901604	−	0.0264735i	0.236341	−	0.971670i	$-0.424052\pi$
$101$	−0.906101	−	0.266055i	−0.0901604	−	0.0264735i	−0.326502	+	0.945197i	$0.605870\pi$
$102$	−3.36182	−	2.91304i	−0.332870	−	0.288434i
$103$	1.35581	−	2.10967i	0.133591	−	0.207872i	−0.768012	−	0.640435i	$-0.778754\pi$
$103$	1.35581	−	2.10967i	0.133591	−	0.207872i	0.901604	+	0.432562i	$0.142391\pi$
$104$	5.63906	+	3.62400i	0.552955	+	0.355363i
$105$	4.35925	+	8.61372i	0.425419	+	0.840613i
$106$	9.74131	+	2.86031i	0.946160	+	0.277817i
$107$	10.2467	−	1.47326i	0.990591	−	0.142425i	0.372079	−	0.928201i	$-0.378645\pi$
$107$	10.2467	−	1.47326i	0.990591	−	0.142425i	0.618512	+	0.785776i	$0.287736\pi$
$108$	4.02569	−	3.48828i	0.387372	−	0.335660i
$109$	1.00584	+	2.20249i	0.0963424	+	0.210960i	0.951667	−	0.307132i	$-0.0993695\pi$
$109$	1.00584	+	2.20249i	0.0963424	+	0.210960i	−0.855324	+	0.518093i	$0.826642\pi$
$110$	−0.0748021	−	0.00770911i	−0.00713210	−	0.000735035i
$111$	2.85220	−	6.24544i	0.270719	−	0.592791i
$112$	−2.53667	−	0.364719i	−0.239693	−	0.0344627i
$113$	7.79950	+	12.1363i	0.733715	+	1.14168i	0.984796	+	0.173716i	$0.0555776\pi$
$113$	7.79950	+	12.1363i	0.733715	+	1.14168i	−0.251081	+	0.967966i	$0.580786\pi$
$114$	−0.0634842			−0.00594584
$115$	6.48824	−	8.53831i	0.605032	−	0.796201i
$116$	−1.21395			−0.112713
$117$	−0.586755	−	0.913008i	−0.0542455	−	0.0844076i
$118$	3.51141	+	0.504864i	0.323251	+	0.0464765i
$119$	2.81108	−	6.15541i	0.257691	−	0.564266i
$120$	−0.386184	+	3.74718i	−0.0352536	+	0.342069i
$121$	−4.56910	−	10.0049i	−0.415372	−	0.909538i
$122$	−10.2775	+	8.90548i	−0.930479	+	0.806264i
$123$	−17.6784	+	2.54177i	−1.59401	+	0.229183i
$124$	5.49661	+	1.61395i	0.493611	+	0.144937i
$125$	3.39034	−	10.6539i	0.303241	−	0.952914i
$126$	0.349062	+	0.224328i	0.0310969	+	0.0199848i
$127$	4.64633	−	7.22984i	0.412295	−	0.641544i	−0.571549	−	0.820568i	$-0.693657\pi$
$127$	4.64633	−	7.22984i	0.412295	−	0.641544i	0.983845	+	0.179024i	$0.0572938\pi$
$128$	−0.755750	−	0.654861i	−0.0667995	−	0.0578821i
$129$	2.24793	+	0.660053i	0.197920	+	0.0581144i
$130$	14.5393	+	3.64284i	1.27518	+	0.319498i
$131$	11.4114	+	13.1694i	0.997015	+	1.15062i	0.988587	+	0.150652i	$0.0481374\pi$
$131$	11.4114	+	13.1694i	0.997015	+	1.15062i	0.00842830	+	0.999964i	$0.497317\pi$
$132$	0.0515350	−	0.0235352i	0.00448554	−	0.00204848i
$133$	−0.0272080	−	0.0926620i	−0.00235924	−	0.00803482i
$134$	5.10920	−	11.1876i	0.441368	−	0.966461i
$135$	6.03266	−	10.2703i	0.519209	−	0.883924i
$136$	2.22132	−	1.42755i	0.190476	−	0.122412i
$137$		−	21.0364i		−	1.79726i	−0.438703	−	0.898632i	$-0.644562\pi$
$137$		−	21.0364i		−	1.79726i	0.438703	−	0.898632i	$-0.355438\pi$
$138$	−0.956843	+	8.02250i	−0.0814519	+	0.682921i
$139$	−14.3845			−1.22008			−0.610039	−	0.792372i	$-0.708846\pi$
$139$	−14.3845			−1.22008			−0.610039	+	0.792372i	$0.708846\pi$
$140$	−5.63492	+	1.04229i	−0.476238	+	0.0880892i
$141$	1.14802	−	7.98462i	0.0966803	−	0.672427i
$142$	6.66751	+	3.04495i	0.559525	+	0.255526i
$143$	−0.0635097	−	0.216294i	−0.00531095	−	0.0180874i
$144$	0.0672589	+	0.147277i	0.00560491	+	0.0122730i
$145$	−2.57178	+	0.868564i	−0.213574	+	0.0721303i
$146$	0.670461	+	4.66316i	0.0554878	+	0.385926i
$147$	−0.205165	+	0.698727i	−0.0169217	+	0.0576300i
$148$	3.08008	+	2.66890i	0.253181	+	0.219383i
$149$	−10.0352	−	6.44921i	−0.822113	−	0.528340i	0.0606496	−	0.998159i	$-0.480683\pi$
$149$	−10.0352	−	6.44921i	−0.822113	−	0.528340i	−0.882763	+	0.469819i	$0.844319\pi$
$150$	1.86290	+	8.21474i	0.152105	+	0.670730i
$151$	−4.50192	+	5.19549i	−0.366361	+	0.422803i	−0.908761	−	0.417317i	$-0.862970\pi$
$151$	−4.50192	+	5.19549i	−0.366361	+	0.422803i	0.542400	+	0.840120i	$0.317516\pi$
$152$	0.0106167	−	0.0361571i	0.000861128	−	0.00293273i
$153$	−0.423164	+	0.0608417i	−0.0342108	+	0.00491876i
$154$	0.0564391	+	0.0651342i	0.00454799	+	0.00524866i
$155$	12.7994	−	0.513559i	1.02807	−	0.0412501i
$156$	−10.8351	+	3.18149i	−0.867506	+	0.254723i
$157$	6.95118	+	3.17450i	0.554765	+	0.253352i	0.673012	−	0.739632i	$-0.265000\pi$
$157$	6.95118	+	3.17450i	0.554765	+	0.253352i	−0.118247	+	0.992984i	$0.537728\pi$
$158$	−9.62720	−	1.38418i	−0.765899	−	0.110120i
$159$	−14.3885	+	9.24693i	−1.14108	+	0.733329i
$160$	−2.06960	−	0.846603i	−0.163617	−	0.0669299i
$161$	−12.1198	+	2.04167i	−0.955174	+	0.160906i
$162$			8.48806i			0.666885i
$163$	−0.912709	−	1.42020i	−0.0714889	−	0.111239i	0.803668	−	0.595077i	$-0.202879\pi$
$163$	−0.912709	−	1.42020i	−0.0714889	−	0.111239i	−0.875157	+	0.483838i	$0.839242\pi$
$164$	1.50877	−	10.4937i	0.117815	−	0.819421i
$165$	0.0923383	−	0.0867320i	0.00718853	−	0.00675208i
$166$	−8.11547	+	2.38292i	−0.629883	+	0.184950i
$167$	8.56890	−	3.91328i	0.663081	−	0.302819i	−0.0552989	−	0.998470i	$-0.517611\pi$
$167$	8.56890	−	3.91328i	0.663081	−	0.302819i	0.718380	+	0.695651i	$0.244884\pi$
$168$	3.26286	−	2.82729i	0.251735	−	0.218130i
$169$	4.54445	+	31.6074i	0.349573	+	2.43134i
$170$	3.68449	−	4.61360i	0.282588	−	0.353847i
$171$	−0.00399548	+	0.00461103i	−0.000305542	+	0.000352614i
$172$	−0.751860	+	1.16992i	−0.0573288	+	0.0892054i
$173$	−9.04195	+	14.0696i	−0.687447	+	1.06969i	0.305622	+	0.952153i	$0.401136\pi$
$173$	−9.04195	+	14.0696i	−0.687447	+	1.06969i	−0.993069	+	0.117535i	$0.962501\pi$
$174$	1.33926	−	1.54559i	0.101529	−	0.117171i
$175$	−11.1919	+	6.23978i	−0.846028	+	0.471683i
$176$	0.00478601	+	0.0332874i	0.000360759	+	0.00250913i
$177$	−4.51664	+	3.91369i	−0.339492	+	0.294171i
$178$	−3.92175	+	1.79101i	−0.293948	+	0.134242i
$179$	9.70680	−	2.85017i	0.725520	−	0.213032i	0.101939	−	0.994791i	$-0.467495\pi$
$179$	9.70680	−	2.85017i	0.725520	−	0.213032i	0.623581	+	0.781759i	$0.285677\pi$
$180$	0.247863	+	0.263884i	0.0184746	+	0.0196688i
$181$	−0.256392	+	1.78325i	−0.0190575	+	0.132548i	−0.997129	−	0.0757217i	$-0.975874\pi$
$181$	−0.256392	+	1.78325i	−0.0190575	+	0.132548i	0.978072	+	0.208269i	$0.0667830\pi$
$182$	−9.28745	−	14.4515i	−0.688431	−	1.07122i
$183$		−	22.9098i		−	1.69354i
$184$	−4.40917	−	1.88660i	−0.325048	−	0.139082i
$185$	8.43474	+	3.45036i	0.620134	+	0.253675i
$186$	−8.11883	+	5.21766i	−0.595302	+	0.382577i
$187$	−0.0878949	−	0.0126374i	−0.00642751	−	0.000924137i
$188$	4.35562	+	1.98915i	0.317666	+	0.145073i
$189$	−13.0982	+	3.84598i	−0.952755	+	0.279754i
$190$	−0.00337823	−	0.0841953i	−0.000245083	−	0.00610817i
$191$	7.72792	+	8.91850i	0.559173	+	0.645320i	0.962996	−	0.269517i	$-0.0868641\pi$
$191$	7.72792	+	8.91850i	0.559173	+	0.645320i	−0.403823	+	0.914837i	$0.632319\pi$
$192$	1.66752	−	0.239753i	0.120343	−	0.0173027i
$193$	−5.62579	+	19.1597i	−0.404953	+	1.37914i	0.464694	+	0.885471i	$0.346164\pi$
$193$	−5.62579	+	19.1597i	−0.404953	+	1.37914i	−0.869647	+	0.493673i	$0.835654\pi$
$194$	9.64783	−	11.1342i	0.692674	−	0.799388i
$195$	−20.6781	+	14.4924i	−1.48079	+	1.03782i
$196$	−0.363646	−	0.233701i	−0.0259747	−	0.0166930i
$197$	−4.39650	−	3.80959i	−0.313238	−	0.271422i	0.484025	−	0.875054i	$-0.339174\pi$
$197$	−4.39650	−	3.80959i	−0.313238	−	0.271422i	−0.797263	+	0.603632i	$0.793720\pi$
$198$	0.00153401	−	0.00522436i	0.000109017	−	0.000371279i
$199$	−1.69896	−	11.8165i	−0.120436	−	0.837650i	−0.957064	−	0.289878i	$-0.906385\pi$
$199$	−1.69896	−	11.8165i	−0.120436	−	0.837650i	0.836628	−	0.547772i	$-0.184524\pi$
$200$	−4.99021	−	0.312772i	−0.352861	−	0.0221163i
$201$	8.60729	+	18.8473i	0.607111	+	1.32939i
$202$	0.266055	+	0.906101i	0.0187196	+	0.0637530i
$203$	2.82993	+	1.29239i	0.198622	+	0.0907078i
$204$	−0.633063	+	4.40305i	−0.0443233	+	0.308275i
$205$	−4.31173	−	23.3105i	−0.301144	−	1.62808i
$206$	−2.50778			−0.174725
$207$	0.522476	+	0.574408i	0.0363146	+	0.0399241i
$208$		−	6.70316i		−	0.464781i
$209$	−0.00106611		0.000685148i	−7.37444e−5		4.73927e-5i
$210$	4.88953	−	8.32416i	0.337410	−	0.574421i
$211$	−9.75432	+	21.3590i	−0.671515	+	1.47041i	0.199874	+	0.979822i	$0.435947\pi$
$211$	−9.75432	+	21.3590i	−0.671515	+	1.47041i	−0.871390	+	0.490592i	$0.836781\pi$
$212$	−2.86031	−	9.74131i	−0.196447	−	0.669036i
$213$	−11.2325	+	5.12971i	−0.769639	+	0.351482i
$214$	−6.77920	−	7.82361i	−0.463416	−	0.534811i
$215$	−0.755768	+	3.01643i	−0.0515430	+	0.205719i
$216$	−5.11098	−	1.50072i	−0.347758	−	0.102111i
$217$	−11.0953	−	9.61413i	−0.753198	−	0.652650i
$218$	1.30905	−	2.03693i	0.0886602	−	0.137958i
$219$	−6.67673	−	4.29087i	−0.451172	−	0.289950i
$220$	0.0339558	+	0.0670954i	0.00228930	+	0.00452357i
$221$	16.9826	+	4.98655i	1.14238	+	0.335432i
$222$	−6.79601	+	0.977119i	−0.456119	+	0.0655800i
$223$	20.0811	−	17.4004i	1.34473	−	1.16521i	0.373347	−	0.927692i	$-0.378210\pi$
$223$	20.0811	−	17.4004i	1.34473	−	1.16521i	0.971382	−	0.237523i	$-0.0763355\pi$
$224$	1.06461	+	2.33117i	0.0711321	+	0.155758i
$225$	0.713904	+	0.381700i	0.0475936	+	0.0254467i
$226$	5.99294	−	13.1227i	0.398644	−	0.872909i
$227$	−21.8298	−	3.13865i	−1.44889	−	0.208320i	−0.627472	−	0.778639i	$-0.715910\pi$
$227$	−21.8298	−	3.13865i	−1.44889	−	0.208320i	−0.821423	+	0.570320i	$0.806819\pi$
$228$	0.0343221	+	0.0534063i	0.00227304	+	0.00353692i
$229$	20.2660			1.33921			0.669606	−	0.742716i	$-0.266463\pi$
$229$	20.2660			1.33921			0.669606	+	0.742716i	$0.266463\pi$
$230$	−10.6907	−	0.842096i	−0.704923	−	0.0555262i
$231$	−0.145192			−0.00955296
$232$	0.656313	+	1.02124i	0.0430891	+	0.0670479i
$233$	2.44767	+	0.351922i	0.160352	+	0.0230551i	0.222023	−	0.975041i	$-0.428734\pi$
$233$	2.44767	+	0.351922i	0.160352	+	0.0230551i	−0.0616712	+	0.998097i	$0.519643\pi$
$234$	−0.450848	+	0.987219i	−0.0294728	+	0.0645365i
$235$	10.6506	+	1.09765i	0.694770	+	0.0716030i
$236$	−1.47369	−	3.22694i	−0.0959292	−	0.210056i
$237$	12.3832	−	10.7301i	0.804378	−	0.696997i
$238$	−6.69805	+	0.963034i	−0.434170	+	0.0624242i
$239$	24.4102	+	7.16748i	1.57896	+	0.463626i	0.949594	−	0.313481i	$-0.101495\pi$
$239$	24.4102	+	7.16748i	1.57896	+	0.463626i	0.629369	+	0.777107i	$0.283313\pi$
$240$	3.36111	−	1.70100i	0.216959	−	0.109799i
$241$	9.78565	+	6.28886i	0.630349	+	0.405101i	0.816439	−	0.577432i	$-0.195945\pi$
$241$	9.78565	+	6.28886i	0.630349	+	0.405101i	−0.186090	+	0.982533i	$0.559581\pi$
$242$	−5.94644	+	9.25284i	−0.382251	+	0.594795i
$243$	1.27021	+	1.10064i	0.0814838	+	0.0706061i
$244$	13.0482	+	3.83129i	0.835325	+	0.245273i
$245$	−0.937598	−	0.234916i	−0.0599009	−	0.0150082i
$246$	11.6959	+	13.4978i	0.745705	+	0.860589i
$247$	0.229772	−	0.104934i	0.0146201	−	0.00667676i
$248$	−1.61395	−	5.49661i	−0.102486	−	0.349035i
$249$	5.91926	−	12.9614i	0.375118	−	0.821393i
$250$	−10.7956	+	2.90780i	−0.682773	+	0.183905i
$251$	0.418569	−	0.268998i	0.0264199	−	0.0169790i	−0.527364	−	0.849639i	$-0.676820\pi$
$251$	0.418569	−	0.268998i	0.0264199	−	0.0169790i	0.553784	+	0.832660i	$0.313183\pi$
$252$		−	0.414931i		−	0.0261382i
$253$	0.0705136	+	0.145051i	0.00443315	+	0.00911929i
$254$	−8.59412			−0.539243
$255$	1.80916	+	9.78085i	0.113294	+	0.612501i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−3.10868	−	1.41969i	−0.193914	−	0.0885577i	0.316091	−	0.948729i	$-0.397629\pi$
$257$	−3.10868	−	1.41969i	−0.193914	−	0.0885577i	−0.510006	+	0.860171i	$0.670357\pi$
$258$	−0.660053	−	2.24793i	−0.0410931	−	0.139950i
$259$	−4.33884	−	9.50074i	−0.269603	−	0.590348i
$260$	−4.79600	−	14.2007i	−0.297435	−	0.880691i
$261$	−0.0279718	−	0.194548i	−0.00173141	−	0.0120422i
$262$	4.90937	−	16.7198i	0.303302	−	1.03295i
$263$	1.00326	+	0.869333i	0.0618639	+	0.0536054i	0.685244	−	0.728314i	$-0.259696\pi$
$263$	1.00326	+	0.869333i	0.0618639	+	0.0536054i	−0.623380	+	0.781919i	$0.714241\pi$
$264$	−0.0476610	−	0.0306299i	−0.00293333	−	0.00188514i
$265$	−13.0293	−	18.5906i	−0.800385	−	1.14201i
$266$	−0.0632425	+	0.0729857i	−0.00387765	+	0.00447504i
$267$	2.04628	−	6.96899i	0.125230	−	0.426495i
$268$	−12.1738	+	1.75033i	−0.743636	+	0.106919i
$269$	0.401567	+	0.463433i	0.0244840	+	0.0282560i	0.767859	−	0.640618i	$-0.221322\pi$
$269$	0.401567	+	0.463433i	0.0244840	+	0.0282560i	−0.743376	+	0.668874i	$0.766776\pi$
$270$	−11.9014	+	0.477529i	−0.724296	+	0.0290615i
$271$	−16.3711	+	4.80700i	−0.994476	+	0.292005i	−0.738187	−	0.674596i	$-0.764318\pi$
$271$	−16.3711	+	4.80700i	−0.994476	+	0.292005i	−0.256289	+	0.966600i	$0.582500\pi$
$272$	−2.40187	−	1.09690i	−0.145635	−	0.0665091i
$273$	28.6456	+	4.11861i	1.73371	+	0.249270i
$274$	−17.6970	+	11.3732i	−1.06911	+	0.687077i
$275$	0.119941	+	0.117848i	0.00723273	+	0.00710647i
$276$	7.26627	−	3.53235i	0.437378	−	0.212622i
$277$			2.01746i			0.121218i	0.998162	+	0.0606088i	$0.0193042\pi$
$277$			2.01746i			0.121218i	−0.998162	+	0.0606088i	$0.980696\pi$
$278$	7.77685	+	12.1010i	0.466424	+	0.725770i
$279$	−0.131999	+	0.918075i	−0.00790259	+	0.0549637i
$280$	3.92329	+	4.17689i	0.234462	+	0.249617i
$281$	−25.1273	+	7.37804i	−1.49897	+	0.440137i	−0.925391	−	0.379014i	$-0.876263\pi$
$281$	−25.1273	+	7.37804i	−1.49897	+	0.440137i	−0.573578	+	0.819151i	$0.694445\pi$
$282$	−7.33776	+	3.35104i	−0.436957	+	0.199552i
$283$	−13.9061	+	12.0497i	−0.826634	+	0.716283i	−0.961567	−	0.274572i	$-0.911464\pi$
$283$	−13.9061	+	12.0497i	−0.826634	+	0.716283i	0.134932	+	0.990855i	$0.456918\pi$
$284$	−1.04315	−	7.25529i	−0.0618997	−	0.430522i
$285$	0.110923	+	0.0885849i	0.00657052	+	0.00524732i
$286$	−0.147622	+	0.170365i	−0.00872909	+	0.0100739i
$287$	−14.6889	+	22.8564i	−0.867058	+	1.34917i
$288$	0.0875340	−	0.136206i	0.00515799	−	0.00802599i
$289$	−6.56684	+	7.57854i	−0.386285	+	0.445796i
$290$	2.12109	+	1.69393i	0.124555	+	0.0994712i
$291$	3.53219	+	24.5669i	0.207061	+	1.44014i
$292$	3.56042	−	3.08512i	0.208358	−	0.180543i
$293$	18.3967	−	8.40149i	1.07475	−	0.490820i	0.202197	−	0.979345i	$-0.435192\pi$
$293$	18.3967	−	8.40149i	1.07475	−	0.490820i	0.872550	+	0.488524i	$0.162465\pi$
$294$	0.698727	−	0.205165i	0.0407506	−	0.0119654i
$295$	−5.43085	−	5.78189i	−0.316196	−	0.336635i
$296$	0.580008	−	4.03405i	0.0337123	−	0.234474i
$297$	0.0968488	+	0.150700i	0.00561974	+	0.00874449i
$298$			11.9288i			0.691018i
$299$	−9.79730	−	30.6179i	−0.566593	−	1.77068i
$300$	5.90351	−	6.00840i	0.340840	−	0.346895i
$301$	2.99822	−	1.92684i	0.172814	−	0.111061i
$302$	6.80465	+	0.978360i	0.391563	+	0.0562983i
$303$	−1.44715	−	0.660892i	−0.0831366	−	0.0379672i
$304$	−0.0361571	+	0.0106167i	−0.00207375	+	0.000608909i
$305$	30.3839	−	1.21912i	1.73978	−	0.0698065i
$306$	0.279963	+	0.323094i	0.0160044	+	0.0184701i
$307$	0.411401	−	0.0591506i	0.0234799	−	0.00337590i	−0.130565	−	0.991440i	$-0.541679\pi$
$307$	0.411401	−	0.0591506i	0.0234799	−	0.00337590i	0.154045	+	0.988064i	$0.450770\pi$
$308$	0.0242811	−	0.0826937i	0.00138354	−	0.00471191i
$309$	2.76663	−	3.19286i	0.157388	−	0.181635i
$310$	−7.35190	−	10.4899i	−0.417560	−	0.595785i
$311$	13.0506	+	8.38714i	0.740034	+	0.475591i	0.855554	−	0.517714i	$-0.173217\pi$
$311$	13.0506	+	8.38714i	0.740034	+	0.475591i	−0.115519	+	0.993305i	$0.536853\pi$
$312$	8.53436	+	7.39506i	0.483163	+	0.418663i
$313$	0.359959	−	1.22591i	0.0203461	−	0.0692924i	−0.948694	−	0.316195i	$-0.897595\pi$
$313$	0.359959	−	1.22591i	0.0203461	−	0.0692924i	0.969040	+	0.246903i	$0.0794128\pi$
$314$	−1.08753	−	7.56397i	−0.0613731	−	0.426859i
$315$	−0.296876	−	0.879035i	−0.0167271	−	0.0495280i
$316$	4.04041	+	8.84726i	0.227291	+	0.497697i
$317$	1.72567	+	5.87708i	0.0969231	+	0.330090i	0.993653	−	0.112488i	$-0.0358821\pi$
$317$	1.72567	+	5.87708i	0.0969231	+	0.330090i	−0.896730	+	0.442578i	$0.854064\pi$
$318$	15.5580	+	7.10511i	0.872451	+	0.398435i
$319$	0.00581000	−	0.0404094i	0.000325297	−	0.00226249i
$320$	0.406705	+	2.19877i	0.0227355	+	0.122915i
$321$	17.4398			0.973397
$322$	8.27002	+	9.09201i	0.460870	+	0.506678i
$323$		−	0.0995030i		−	0.00553649i
$324$	7.14061	−	4.58899i	0.396701	−	0.254944i
$325$	−20.3207	−	26.6529i	−1.12719	−	1.47844i
$326$	−0.701303	+	1.53564i	−0.0388416	+	0.0850512i
$327$	1.14921	+	3.91384i	0.0635513	+	0.216436i
$328$	−9.64358	+	4.40407i	−0.532477	+	0.243174i
$329$	−8.03602	−	9.27406i	−0.443040	−	0.511296i
$330$	−0.122885	−	0.0307891i	−0.00676462	−	0.00169488i
$331$	−27.8333	−	8.17259i	−1.52985	−	0.449206i	−0.594849	−	0.803838i	$-0.702788\pi$
$331$	−27.8333	−	8.17259i	−1.52985	−	0.449206i	−0.935006	+	0.354632i	$0.884606\pi$
$332$	6.39219	+	5.53887i	0.350817	+	0.303985i
$333$	−0.356747	+	0.555110i	−0.0195496	+	0.0304198i
$334$	−7.92476	−	5.09293i	−0.433624	−	0.278673i
$335$	−24.5381	+	12.4183i	−1.34066	+	0.678483i
$336$	−4.14250	−	1.21635i	−0.225992	−	0.0663573i
$337$	17.0766	−	2.45525i	0.930223	−	0.133746i	0.339487	−	0.940611i	$-0.389747\pi$
$337$	17.0766	−	2.45525i	0.930223	−	0.133746i	0.590736	+	0.806865i	$0.298838\pi$
$338$	24.1329	−	20.9113i	1.31266	−	1.13742i
$339$	10.0961	+	22.1073i	0.548344	+	1.20071i
$340$	−5.87319	−	0.605291i	−0.318519	−	0.0328265i
$341$	−0.0800311	+	0.175244i	−0.00433393	+	0.00948998i
$342$	0.00603917		0.000868301i	0.000326561		4.69524e-5i
$343$	10.2976	+	16.0234i	0.556021	+	0.865185i
$344$	1.39068			0.0749806
$345$	12.8663	−	12.6822i	0.692700	−	0.682787i
$346$	16.7245			0.899115
$347$	16.6462	+	25.9019i	0.893612	+	1.39049i	0.920455	+	0.390848i	$0.127818\pi$
$347$	16.6462	+	25.9019i	0.893612	+	1.39049i	−0.0268425	+	0.999640i	$0.508545\pi$
$348$	−2.02429	−	0.291049i	−0.108513	−	0.0156019i
$349$	1.22479	−	2.68191i	0.0655614	−	0.143559i	−0.874015	−	0.485899i	$-0.838492\pi$
$349$	1.22479	−	2.68191i	0.0655614	−	0.143559i	0.939576	+	0.342340i	$0.111219\pi$
$350$	11.3000	+	6.04174i	0.604012	+	0.322945i
$351$	−14.8328	−	32.4794i	−0.791719	−	1.73362i
$352$	0.0254156	−	0.0220228i	0.00135466	−	0.00117382i
$353$	8.43454	−	1.21270i	0.448925	−	0.0645457i	0.0858553	−	0.996308i	$-0.472638\pi$
$353$	8.43454	−	1.21270i	0.448925	−	0.0645457i	0.363070	+	0.931762i	$0.381729\pi$
$354$	5.73429	+	1.68374i	0.304774	+	0.0894897i
$355$	−7.40096	−	14.6240i	−0.392802	−	0.776163i
$356$	3.62695	+	2.33090i	0.192228	+	0.123537i
$357$	6.16330	−	9.59028i	0.326197	−	0.507572i
$358$	−7.64561	−	6.62496i	−0.404083	−	0.350140i
$359$	5.70305	+	1.67457i	0.300995	+	0.0883802i	0.428743	−	0.903426i	$-0.358957\pi$
$359$	5.70305	+	1.67457i	0.300995	+	0.0883802i	−0.127748	+	0.991807i	$0.540775\pi$
$360$	0.0879889	−	0.351182i	0.00463742	−	0.0185089i
$361$	12.4414	+	14.3582i	0.654812	+	0.755693i
$362$	1.63878	−	0.748405i	0.0861322	−	0.0393353i
$363$	−5.22033	−	17.7788i	−0.273996	−	0.933146i
$364$	−7.13624	+	15.6262i	−0.374041	+	0.819035i
$365$	5.33544	−	9.08329i	0.279270	−	0.475441i
$366$	−19.2730	+	12.3860i	−1.00741	+	0.647426i
$367$			33.9978i			1.77467i	0.461125	+	0.887335i	$0.347446\pi$
$367$			33.9978i			1.77467i	−0.461125	+	0.887335i	$0.652554\pi$
$368$	0.796667	+	4.72920i	0.0415292	+	0.246527i
$369$	1.71649			0.0893567
$370$	−1.65754	−	8.96116i	−0.0861712	−	0.465868i
$371$	−3.70283	+	25.7537i	−0.192241	+	1.33707i
$372$	8.77874	+	4.00912i	0.455157	+	0.207863i
$373$	−1.60407	−	5.46297i	−0.0830557	−	0.282862i	0.907484	−	0.420086i	$-0.138000\pi$
$373$	−1.60407	−	5.46297i	−0.0830557	−	0.282862i	−0.990540	+	0.137224i	$0.956182\pi$
$374$	0.0368883	+	0.0807742i	0.00190745	+	0.00417673i
$375$	8.20775	−	16.9527i	0.423846	−	0.875434i
$376$	−0.681451	−	4.73959i	−0.0351431	−	0.244426i
$377$	−2.29255	+	7.80772i	−0.118072	+	0.402118i
$378$	10.3169	+	8.93962i	0.530643	+	0.459805i
$379$	1.17407	+	0.754530i	0.0603080	+	0.0387576i	0.570447	−	0.821334i	$-0.306770\pi$
$379$	1.17407	+	0.754530i	0.0603080	+	0.0387576i	−0.510139	+	0.860092i	$0.670406\pi$
$380$	−0.0690032	+	0.0483614i	−0.00353979	+	0.00248089i
$381$	9.48121	−	10.9419i	0.485737	−	0.560570i
$382$	3.32469	−	11.3228i	0.170106	−	0.579327i
$383$	−35.1191	+	5.04936i	−1.79450	+	0.258010i	−0.957344	−	0.288951i	$-0.906694\pi$
$383$	−35.1191	+	5.04936i	−1.79450	+	0.258010i	−0.837158	+	0.546961i	$0.815784\pi$
$384$	−1.10322	−	1.27318i	−0.0562985	−	0.0649719i
$385$	−0.00772624	−	0.192560i	−0.000393765	−	0.00981378i
$386$	19.1597	−	5.62579i	0.975202	−	0.286345i
$387$	−0.204815	−	0.0935359i	−0.0104113	−	0.00475470i
$388$	−14.5827	−	2.09667i	−0.740324	−	0.106442i
$389$	22.3987	−	14.3947i	1.13566	−	0.729842i	0.168924	−	0.985629i	$-0.445971\pi$
$389$	22.3987	−	14.3947i	1.13566	−	0.729842i	0.966733	+	0.255787i	$0.0823345\pi$
$390$	23.3712	+	9.56033i	1.18345	+	0.484106i
$391$	−12.5742	−	1.49972i	−0.635905	−	0.0758442i
$392$			0.432267i			0.0218328i
$393$	15.8712	+	24.6961i	0.800598	+	1.24575i
$394$	−0.827904	+	5.75820i	−0.0417092	+	0.290094i
$395$	14.8897	+	15.8522i	0.749183	+	0.797609i
$396$	−0.00522436	+	0.00153401i	−0.000262534	+	7.70869e-5i
$397$	−12.6677	+	5.78516i	−0.635776	+	0.290349i	−0.707110	−	0.707103i	$-0.750002\pi$
$397$	−12.6677	+	5.78516i	−0.635776	+	0.290349i	0.0713344	+	0.997452i	$0.477274\pi$
$398$	−9.02216	+	7.81774i	−0.452240	+	0.391868i
$399$	−0.0231539	−	0.161039i	−0.00115914	−	0.00806202i
$400$	2.43479	+	4.36713i	0.121739	+	0.218356i
$401$	5.74951	−	6.63529i	0.287117	−	0.331351i	−0.593808	−	0.804607i	$-0.702376\pi$
$401$	5.74951	−	6.63529i	0.287117	−	0.331351i	0.880925	+	0.473256i	$0.156922\pi$
$402$	11.2019	−	17.4305i	0.558702	−	0.869357i
$403$	20.7607	−	32.3043i	1.03416	−	1.60919i
$404$	0.618420	−	0.713695i	0.0307676	−	0.0355077i
$405$	11.8441	−	14.8308i	0.588539	−	0.736949i
$406$	−0.442752	−	3.07941i	−0.0219734	−	0.152828i
$407$	−0.103582	+	0.0897545i	−0.00513438	+	0.00444897i
$408$	4.04634	−	1.84790i	0.200324	−	0.0914848i
$409$	−20.9200	+	6.14268i	−1.03443	+	0.303736i	−0.754510	−	0.656288i	$-0.772126\pi$
$409$	−20.9200	+	6.14268i	−1.03443	+	0.303736i	−0.279918	+	0.960024i	$0.590307\pi$
$410$	−17.2790	+	16.2299i	−0.853348	+	0.801537i
$411$	5.04354	−	35.0786i	0.248780	−	1.73030i
$412$	1.35581	+	2.10967i	0.0667957	+	0.103936i
$413$			9.09143i			0.447360i
$414$	0.200750	−	0.750083i	0.00986635	−	0.0368646i
$415$	17.5049	+	7.16064i	0.859281	+	0.351502i
$416$	−5.63906	+	3.62400i	−0.276478	+	0.177681i
$417$	−23.9864	−	3.44872i	−1.17462	−	0.168885i
$418$	0.00115277		0.000526451i	5.63836e−5		2.57495e-5i
$419$	−6.79598	+	1.99548i	−0.332005	+	0.0974856i	−0.443487	−	0.896281i	$-0.646259\pi$
$419$	−6.79598	+	1.99548i	−0.332005	+	0.0974856i	0.111481	+	0.993767i	$0.464440\pi$
$420$	−9.64621	+	0.387042i	−0.470687	+	0.0188857i
$421$	2.04137	+	2.35587i	0.0994903	+	0.114818i	0.803311	−	0.595560i	$-0.203070\pi$
$421$	2.04137	+	2.35587i	0.0994903	+	0.114818i	−0.703821	+	0.710378i	$0.748524\pi$
$422$	23.2419	−	3.34168i	1.13140	−	0.162671i
$423$	−0.218418	+	0.743865i	−0.0106199	+	0.0361679i
$424$	−6.64851	+	7.67279i	−0.322880	+	0.372624i
$425$	−12.8755	+	2.91985i	−0.624553	+	0.141634i
$426$	10.3881	+	6.67605i	0.503307	+	0.323456i
$427$	−26.3387	−	22.8226i	−1.27462	−	1.10446i
$428$	−2.91653	+	9.93278i	−0.140976	+	0.480119i
$429$	−0.0540464	−	0.375901i	−0.00260938	−	0.0181487i
$430$	2.94618	−	0.995010i	0.142077	−	0.0479836i
$431$	−11.1110	−	24.3298i	−0.535200	−	1.17192i	−0.963357	−	0.268221i	$-0.913564\pi$
$431$	−11.1110	−	24.3298i	−0.535200	−	1.17192i	0.428157	−	0.903704i	$-0.359163\pi$
$432$	1.50072	+	5.11098i	0.0722034	+	0.245902i
$433$	−2.84598	−	1.29971i	−0.136769	−	0.0624603i	0.345855	−	0.938288i	$-0.387589\pi$
$433$	−2.84598	−	1.29971i	−0.136769	−	0.0624603i	−0.482624	+	0.875828i	$0.660316\pi$
$434$	−2.08935	+	14.5318i	−0.100292	+	0.697547i
$435$	−4.49672	+	0.831754i	−0.215601	+	0.0398795i
$436$	−2.42130			−0.115959
$437$	−0.149637	+	0.101341i	−0.00715812	+	0.00484779i
$438$			7.93664i			0.379227i
$439$	1.35810	−	0.872799i	0.0648186	−	0.0416564i	−0.507830	−	0.861457i	$-0.669552\pi$
$439$	1.35810	−	0.872799i	0.0648186	−	0.0416564i	0.572649	+	0.819801i	$0.305916\pi$
$440$	0.0380864	−	0.0648399i	0.00181570	−	0.00309112i
$441$	0.0290738	−	0.0636628i	0.00138447	−	0.00303156i
$442$	−4.98655	−	16.9826i	−0.237186	−	0.807782i
$443$	27.3564	−	12.4932i	1.29974	−	0.593572i	0.359203	−	0.933259i	$-0.383049\pi$
$443$	27.3564	−	12.4932i	1.29974	−	0.593572i	0.940538	+	0.339687i	$0.110321\pi$
$444$	4.49621	+	5.18890i	0.213381	+	0.246254i
$445$	9.35145	+	2.34301i	0.443301	+	0.111069i
$446$	−25.4948	−	7.48594i	−1.20721	−	0.354470i
$447$	−15.1876	−	13.1601i	−0.718348	−	0.622452i
$448$	1.38553	−	2.15593i	0.0654602	−	0.101858i
$449$	−6.05778	−	3.89310i	−0.285884	−	0.183727i	0.389837	−	0.920884i	$-0.372531\pi$
$449$	−6.05778	−	3.89310i	−0.285884	−	0.183727i	−0.675721	+	0.737157i	$0.736168\pi$
$450$	−0.0648591	−	0.806937i	−0.00305749	−	0.0380394i
$451$	0.342088	+	0.100446i	0.0161083	+	0.00472982i
$452$	−14.2795	+	2.05309i	−0.671654	+	0.0965692i
$453$	−8.75266	+	7.58422i	−0.411236	+	0.356338i
$454$	9.16168	+	20.0613i	0.429979	+	0.941522i
$455$	−3.93793	+	38.2101i	−0.184613	+	1.79132i
$456$	0.0263723	−	0.0577473i	0.00123500	−	0.00270426i
$457$	−20.1145	−	2.89204i	−0.940919	−	0.135284i	−0.345247	−	0.938512i	$-0.612205\pi$
$457$	−20.1145	−	2.89204i	−0.940919	−	0.135284i	−0.595672	+	0.803228i	$0.703114\pi$
$458$	−10.9566	−	17.0488i	−0.511968	−	0.796639i
$459$	−14.0652			−0.656508
$460$	5.07141	+	9.44885i	0.236456	+	0.440555i
$461$	−19.3053			−0.899137			−0.449568	−	0.893246i	$-0.648422\pi$
$461$	−19.3053			−0.899137			−0.449568	+	0.893246i	$0.648422\pi$
$462$	0.0784970	+	0.122144i	0.00365201	+	0.00568264i
$463$	−39.4969	−	5.67879i	−1.83557	−	0.263916i	−0.864490	−	0.502651i	$-0.832358\pi$
$463$	−39.4969	−	5.67879i	−1.83557	−	0.263916i	−0.971085	+	0.238735i	$0.923267\pi$
$464$	0.504295	−	1.10425i	0.0234113	−	0.0512636i
$465$	21.4663	+	2.21232i	0.995476	+	0.102594i
$466$	−1.02725	−	2.24937i	−0.0475866	−	0.104200i
$467$	7.11073	−	6.16148i	0.329045	−	0.285119i	−0.474632	−	0.880184i	$-0.657419\pi$
$467$	7.11073	−	6.16148i	0.329045	−	0.285119i	0.803678	+	0.595065i	$0.202874\pi$
$468$	1.07425	−	0.154454i	0.0496571	−	0.00713962i
$469$	30.2427	+	8.88006i	1.39648	+	0.410043i
$470$	−4.83476	−	9.55331i	−0.223011	−	0.440661i
$471$	10.8301	+	6.96009i	0.499025	+	0.320704i
$472$	−1.91793	+	2.98436i	−0.0882800	+	0.137366i
$473$	−0.0353451	−	0.0306267i	−0.00162517	−	0.00140822i
$474$	−15.7217	−	4.61629i	−0.722119	−	0.212033i
$475$	−0.111582	+	0.151825i	−0.00511975	+	0.00696619i
$476$	4.43139	+	5.11410i	0.203113	+	0.234404i
$477$	1.49523	−	0.682850i	0.0684620	−	0.0312656i
$478$	−7.16748	−	24.4102i	−0.327833	−	1.11650i
$479$	3.56740	−	7.81152i	0.162999	−	0.356917i	−0.810455	−	0.585801i	$-0.800780\pi$
$479$	3.56740	−	7.81152i	0.162999	−	0.356917i	0.973454	+	0.228883i	$0.0735074\pi$
$480$	−3.24812	−	1.90792i	−0.148256	−	0.0870841i
$481$	22.9822	−	14.7697i	1.04790	−	0.673442i
$482$		−	11.6322i		−	0.529833i
$483$	−20.6995	+	0.498759i	−0.941858	+	0.0226943i
$484$	10.9989			0.499949
$485$	−32.3937	+	5.99183i	−1.47092	+	0.272075i
$486$	0.239192	−	1.66362i	0.0108500	−	0.0754632i
$487$	2.42619	+	1.10800i	0.109941	+	0.0502085i	0.469626	−	0.882865i	$-0.344389\pi$
$487$	2.42619	+	1.10800i	0.109941	+	0.0502085i	−0.359685	+	0.933074i	$0.617116\pi$
$488$	−3.83129	−	13.0482i	−0.173434	−	0.590664i
$489$	−1.18146	−	2.58704i	−0.0534275	−	0.116990i
$490$	0.309280	+	0.915763i	0.0139718	+	0.0413699i
$491$	−4.57539	−	31.8225i	−0.206484	−	1.43613i	−0.784512	−	0.620113i	$-0.787087\pi$
$491$	−4.57539	−	31.8225i	−0.206484	−	1.43613i	0.578028	−	0.816017i	$-0.303822\pi$
$492$	5.03179	−	17.1367i	0.226851	−	0.772583i
$493$	2.42250	+	2.09911i	0.109104	+	0.0945391i
$494$	−0.212500	−	0.136565i	−0.00956083	−	0.00614437i
$495$	−0.00997029	+	0.00698775i	−0.000448131	+	0.000314076i
$496$	−3.75148	+	4.32944i	−0.168446	+	0.194397i
$497$	−5.29228	+	18.0238i	−0.237391	+	0.808480i
$498$	−14.1040	+	2.02785i	−0.632015	+	0.0908700i
$499$	−21.3790	−	24.6727i	−0.957056	−	1.10450i	−0.994451	−	0.105201i	$-0.966451\pi$
$499$	−21.3790	−	24.6727i	−0.957056	−	1.10450i	0.0373951	−	0.999301i	$-0.488094\pi$
$500$	8.28273	+	7.50975i	0.370415	+	0.335846i
$501$	15.2270	−	4.47105i	0.680292	−	0.199752i
$502$	−0.452591	−	0.206692i	−0.0202001	−	0.00922510i
$503$	17.8920	+	2.57248i	0.797764	+	0.114701i	0.529130	−	0.848541i	$-0.322518\pi$
$503$	17.8920	+	2.57248i	0.797764	+	0.114701i	0.268635	+	0.963242i	$0.413428\pi$
$504$	−0.349062	+	0.224328i	−0.0155485	+	0.00999238i
$505$	0.799493	−	1.95444i	0.0355770	−	0.0869714i
$506$	0.0839023	−	0.137740i	0.00372991	−	0.00612331i
$507$			53.7954i			2.38914i
$508$	4.64633	+	7.22984i	0.206148	+	0.320772i
$509$	3.70609	−	25.7764i	0.164270	−	1.14252i	−0.726202	−	0.687482i	$-0.758716\pi$
$509$	3.70609	−	25.7764i	0.164270	−	1.14252i	0.890471	−	0.455039i	$-0.150375\pi$
$510$	7.25007	−	6.80989i	0.321039	−	0.301547i
$511$	−11.5844	+	3.40148i	−0.512463	+	0.150473i
$512$	0.909632	−	0.415415i	0.0402004	−	0.0183589i
$513$	−0.151702	+	0.131451i	−0.00669783	+	0.00580370i
$514$	0.486363	+	3.38273i	0.0214526	+	0.149206i
$515$	4.38172	+	3.49931i	0.193082	+	0.154198i
$516$	−1.53423	+	1.77060i	−0.0675407	+	0.0779462i
$517$	−0.0870595	+	0.135467i	−0.00382887	+	0.00595784i
$518$	−5.64678	+	8.78656i	−0.248105	+	0.386059i
$519$	−18.4508	+	21.2934i	−0.809901	+	0.934675i
$520$	−9.35349	+	11.7121i	−0.410178	+	0.513611i
$521$	5.55654	+	38.6466i	0.243436	+	1.69314i	0.634619	+	0.772825i	$0.281157\pi$
$521$	5.55654	+	38.6466i	0.243436	+	1.69314i	−0.391183	+	0.920313i	$0.627934\pi$
$522$	−0.148542	+	0.128712i	−0.00650149	+	0.00563357i
$523$	3.62083	−	1.65358i	0.158328	−	0.0723060i	−0.334675	−	0.942334i	$-0.608626\pi$
$523$	3.62083	−	1.65358i	0.158328	−	0.0723060i	0.493003	+	0.870028i	$0.335899\pi$
$524$	−16.7198	+	4.90937i	−0.730406	+	0.214467i
$525$	−20.1587	+	7.72165i	−0.879796	+	0.337000i
$526$	0.188924	−	1.31400i	0.00823748	−	0.0572930i
$527$	−8.17798	−	12.7252i	−0.356238	−	0.554318i
$528$			0.0566548i			0.00246558i
$529$	10.5511	+	20.4371i	0.458743	+	0.888569i
$530$	−8.59519	+	21.0118i	−0.373351	+	0.912693i
$531$	0.483192	−	0.310528i	0.0209687	−	0.0134758i
$532$	0.0955910	+	0.0137439i	0.00414440	+	0.000595874i
$533$	−64.6425	−	29.5212i	−2.79998	−	1.27871i
$534$	−6.96899	+	2.04628i	−0.301578	+	0.0885512i
$535$	0.928039	+	23.1294i	0.0401226	+	0.999972i
$536$	8.05415	+	9.29499i	0.347886	+	0.401482i
$537$	16.8696	−	2.42548i	0.727976	−	0.104667i
$538$	0.172761	−	0.588370i	0.00744826	−	0.0253664i
$539$	0.00951973	−	0.0109864i	0.000410044	−	0.000473216i
$540$	6.83611	+	9.75393i	0.294179	+	0.419742i
$541$	−6.45347	−	4.14740i	−0.277456	−	0.178310i	0.394511	−	0.918891i	$-0.370914\pi$
$541$	−6.45347	−	4.14740i	−0.277456	−	0.178310i	−0.671967	+	0.740581i	$0.734550\pi$
$542$	12.8948	+	11.1734i	0.553880	+	0.479940i
$543$	−0.855076	+	2.91212i	−0.0366948	+	0.124971i
$544$	0.375780	+	2.61361i	0.0161114	+	0.112058i
$545$	−5.12955	+	1.73240i	−0.219726	+	0.0742077i
$546$	−12.0222	−	26.3249i	−0.514501	−	1.12660i
$547$	1.82461	+	6.21406i	0.0780148	+	0.265694i	0.989259	−	0.146172i	$-0.0466953\pi$
$547$	1.82461	+	6.21406i	0.0780148	+	0.265694i	−0.911244	+	0.411866i	$0.864877\pi$
$548$	19.1354	+	8.73885i	0.817424	+	0.373305i
$549$	−0.313348	+	2.17938i	−0.0133734	+	0.0930137i
$550$	0.0342945	−	0.164614i	0.00146232	−	0.00701917i
$551$	0.0457462			0.00194885
$552$	−6.90004	−	4.20304i	−0.293685	−	0.178893i
$553$		−	24.9259i		−	1.05996i
$554$	1.69720	−	1.09072i	0.0721070	−	0.0463404i
$555$	13.2378	+	7.77578i	0.561915	+	0.330063i
$556$	5.97554	−	13.0846i	0.253419	−	0.554911i
$557$	2.46691	+	8.40152i	0.104526	+	0.355984i	0.995102	−	0.0988506i	$-0.0315166\pi$
$557$	2.46691	+	8.40152i	0.104526	+	0.355984i	−0.890576	+	0.454834i	$0.849698\pi$
$558$	0.843698	−	0.385304i	0.0357166	−	0.0163112i
$559$	6.10460	+	7.04508i	0.258197	+	0.297975i
$560$	1.39273	−	5.55868i	0.0588537	−	0.234897i
$561$	−0.143536	−	0.0421461i	−0.00606011	−	0.00177941i
$562$	19.7916	+	17.1496i	0.834860	+	0.723410i
$563$	15.0182	−	23.3688i	0.632943	−	0.984878i	−0.365592	−	0.930775i	$-0.619134\pi$
$563$	15.0182	−	23.3688i	0.632943	−	0.984878i	0.998535	−	0.0541033i	$-0.0172300\pi$
$564$	6.78617	+	4.36120i	0.285749	+	0.183640i
$565$	−28.7824	+	14.5663i	−1.21089	+	0.612807i
$566$	17.6551	+	5.18401i	0.742100	+	0.217900i
$567$	−21.5314	+	3.09575i	−0.904236	+	0.130009i
$568$	−5.53956	+	4.80006i	−0.232435	+	0.201406i
$569$	8.41129	+	18.4181i	0.352619	+	0.772129i	0.999951	+	0.00992014i	$0.00315773\pi$
$569$	8.41129	+	18.4181i	0.352619	+	0.772129i	−0.647331	+	0.762209i	$0.724115\pi$
$570$	0.0145528	−	0.141207i	0.000609550	−	0.00591451i
$571$	4.74144	−	10.3823i	0.198423	−	0.434486i	−0.784098	−	0.620637i	$-0.786874\pi$
$571$	4.74144	−	10.3823i	0.198423	−	0.434486i	0.982521	+	0.186151i	$0.0596013\pi$
$572$	0.223131	+	0.0320814i	0.00932957	+	0.00134139i
$573$	10.7482	+	16.7245i	0.449013	+	0.698678i
$574$	27.1694			1.13403
$575$	17.5043	+	16.3890i	0.729980	+	0.683468i
$576$	−0.161908			−0.00674616
$577$	−21.7728	−	33.8792i	−0.906415	−	1.41041i	−0.911895	−	0.410424i	$-0.865381\pi$
$577$	−21.7728	−	33.8792i	−0.906415	−	1.41041i	0.00548004	−	0.999985i	$-0.498256\pi$
$578$	9.92577	+	1.42711i	0.412858	+	0.0593600i
$579$	−13.9747	+	30.6003i	−0.580768	+	1.27170i
$580$	0.278281	−	2.70018i	0.0115550	−	0.112119i
$581$	−9.00455	−	19.7172i	−0.373572	−	0.818008i
$582$	18.7574	−	16.2533i	0.777518	−	0.673723i
$583$	0.337952	−	0.0485902i	0.0139966	−	0.00201240i
$584$	−4.52028	−	1.32727i	−0.187051	−	0.0549230i
$585$	2.16530	−	1.09582i	0.0895240	−	0.0453065i
$586$	−17.0138	−	10.9341i	−0.702833	−	0.451684i
$587$	23.3877	−	36.3920i	0.965314	−	1.50206i	0.103629	−	0.994616i	$-0.466955\pi$
$587$	23.3877	−	36.3920i	0.965314	−	1.50206i	0.861686	−	0.507443i	$-0.169409\pi$
$588$	−0.550356	−	0.476886i	−0.0226963	−	0.0196664i
$589$	−0.207132	−	0.0608195i	−0.00853473	−	0.00250602i
$590$	−1.92790	+	7.69465i	−0.0793704	+	0.316784i
$591$	−6.41788	−	7.40663i	−0.263996	−	0.304668i
$592$	−3.70723	+	1.69304i	−0.152366	+	0.0695834i
$593$	8.49826	+	28.9424i	0.348982	+	1.18852i	0.927804	+	0.373069i	$0.121694\pi$
$593$	8.49826	+	28.9424i	0.348982	+	1.18852i	−0.578822	+	0.815454i	$0.696487\pi$
$594$	0.0744163	−	0.162949i	0.00305334	−	0.00668587i
$595$	13.0470	+	7.66369i	0.534875	+	0.314181i
$596$	10.0352	−	6.44921i	0.411057	−	0.264170i
$597$		−	20.1116i		−	0.823111i
$598$	−20.4606	+	24.7953i	−0.836697	+	1.01396i
$599$	29.8294			1.21880			0.609399	−	0.792864i	$-0.291411\pi$
$599$	29.8294			1.21880			0.609399	+	0.792864i	$0.291411\pi$
$600$	−8.24627	−	1.71797i	−0.336652	−	0.0701357i
$601$	−1.17456	+	8.16922i	−0.0479111	+	0.333229i	0.951742	+	0.306899i	$0.0992913\pi$
$601$	−1.17456	+	8.16922i	−0.0479111	+	0.333229i	−0.999653	+	0.0263305i	$0.991618\pi$
$602$	−3.24192	−	1.48053i	−0.132131	−	0.0603421i
$603$	−0.561017	−	1.91065i	−0.0228464	−	0.0778076i
$604$	−2.85582	−	6.25337i	−0.116202	−	0.254446i
$605$	23.3012	−	7.86950i	0.947329	−	0.319941i
$606$	0.226411	+	1.57473i	0.00919733	+	0.0639689i
$607$	−4.10250	+	13.9718i	−0.166515	+	0.567099i	0.833381	+	0.552699i	$0.186402\pi$
$607$	−4.10250	+	13.9718i	−0.166515	+	0.567099i	−0.999896	+	0.0144002i	$0.995416\pi$
$608$	0.0284794	+	0.0246775i	0.00115499	+	0.00100081i
$609$	4.40910	+	2.83356i	0.178666	+	0.114822i
$610$	−17.4524	−	24.9015i	−0.706626	−	1.00823i
$611$	21.0190	−	24.2573i	0.850340	−	0.981344i
$612$	0.120445	−	0.410198i	0.00486870	−	0.0165813i
$613$	26.7466	−	3.84557i	1.08028	−	0.155321i	0.420884	−	0.907114i	$-0.361720\pi$
$613$	26.7466	−	3.84557i	1.08028	−	0.155321i	0.659399	+	0.751793i	$0.270811\pi$
$614$	−0.272181	−	0.314114i	−0.0109843	−	0.0126766i
$615$	−1.60112	−	39.9045i	−0.0645632	−	1.60910i
$616$	−0.0826937	+	0.0242811i	−0.00333183	+	0.000978312i
$617$	−9.91392	−	4.52754i	−0.399120	−	0.182272i	0.205735	−	0.978608i	$-0.434041\pi$
$617$	−9.91392	−	4.52754i	−0.399120	−	0.182272i	−0.604855	+	0.796336i	$0.706769\pi$
$618$	−4.18176	−	0.601246i	−0.168215	−	0.0241857i
$619$	−35.5045	+	22.8173i	−1.42704	+	0.917106i	−0.427128	+	0.904191i	$0.640475\pi$
$619$	−35.5045	+	22.8173i	−1.42704	+	0.917106i	−0.999917	+	0.0129151i	$0.995889\pi$
$620$	−4.84991	+	11.8561i	−0.194777	+	0.476151i
$621$	14.3250	+	21.1519i	0.574842	+	0.848797i
$622$		−	15.5133i		−	0.622028i
$623$	−5.97353	−	9.29500i	−0.239325	−	0.372396i
$624$	1.60710	−	11.1776i	0.0643355	−	0.447463i
$625$	22.9201	+	9.98334i	0.916806	+	0.399333i
$626$	−1.22591	+	0.359959i	−0.0489971	+	0.0143868i
$627$	−0.00194202		0.000886892i	−7.75570e−5		3.54191e-5i
$628$	−5.77525	+	5.00428i	−0.230458	+	0.199693i
$629$	−1.53150	−	10.6518i	−0.0610650	−	0.424717i
$630$	−0.578988	+	0.724990i	−0.0230674	+	0.0288843i
$631$	2.22610	−	2.56906i	0.0886197	−	0.102273i	−0.709708	−	0.704496i	$-0.751173\pi$
$631$	2.22610	−	2.56906i	0.0886197	−	0.102273i	0.798327	+	0.602224i	$0.205718\pi$
$632$	5.25838	−	8.18220i	0.209167	−	0.325470i
$633$	−21.3864	+	33.2778i	−0.850032	+	1.32268i
$634$	4.01115	−	4.62911i	0.159303	−	0.183846i
$635$	15.0161	+	11.9921i	0.595897	+	0.475892i
$636$	−2.43410	−	16.9296i	−0.0965185	−	0.671301i
$637$	−2.18983	+	1.89750i	−0.0867642	+	0.0751816i
$638$	−0.0371357	+	0.0169593i	−0.00147022	+	0.000671425i
$639$	1.13869	−	0.334351i	0.0450461	−	0.0132267i
$640$	1.62984	−	1.53089i	0.0644252	−	0.0605136i
$641$	0.00978189	−	0.0680345i	0.000386361	−	0.00268720i	−0.989627	−	0.143658i	$-0.954113\pi$
$641$	0.00978189	−	0.0680345i	0.000386361	−	0.00268720i	0.990014	+	0.140971i	$0.0450225\pi$
$642$	−9.42869	−	14.6713i	−0.372121	−	0.579031i
$643$		−	18.5584i		−	0.731873i	−0.930640	−	0.365937i	$-0.880749\pi$
$643$		−	18.5584i		−	0.731873i	0.930640	−	0.365937i	$-0.119251\pi$
$644$	3.17758	−	11.8727i	0.125214	−	0.467850i
$645$	−1.98345	+	4.84874i	−0.0780983	+	0.190919i
$646$	−0.0837072	+	0.0537954i	−0.00329342	+	0.00211655i
$647$	30.1197	+	4.33056i	1.18413	+	0.170252i	0.706113	−	0.708099i	$-0.250447\pi$
$647$	30.1197	+	4.33056i	1.18413	+	0.170252i	0.478016	+	0.878351i	$0.341356\pi$
$648$	−7.72101	−	3.52607i	−0.303310	−	0.138517i
$649$	0.114469	−	0.0336113i	0.00449332	−	0.00131936i
$650$	−11.4356	+	31.5045i	−0.448543	+	1.23571i
$651$	−16.1966	−	18.6919i	−0.634794	−	0.732591i
$652$	1.67102	−	0.240256i	0.0654420	−	0.00940914i
$653$	−3.62574	+	12.3481i	−0.141886	+	0.483219i	−0.999518	−	0.0310445i	$-0.990117\pi$
$653$	−3.62574	+	12.3481i	−0.141886	+	0.483219i	0.857632	+	0.514264i	$0.171935\pi$
$654$	2.67123	−	3.08276i	0.104453	−	0.120545i
$655$	−31.9084	+	22.3632i	−1.24677	+	0.873804i
$656$	8.91865	+	5.73167i	0.348215	+	0.223784i
$657$	0.576460	+	0.499506i	0.0224899	+	0.0194876i
$658$	−3.45724	+	11.7743i	−0.134777	+	0.459009i
$659$	−2.23751	−	15.5622i	−0.0871609	−	0.606218i	−0.985850	−	0.167631i	$-0.946388\pi$
$659$	−2.23751	−	15.5622i	−0.0871609	−	0.606218i	0.898689	−	0.438587i	$-0.144521\pi$
$660$	0.0405355	+	0.120024i	0.00157784	+	0.00467192i
$661$	−12.3829	−	27.1148i	−0.481640	−	1.05464i	−0.982009	−	0.188832i	$-0.939530\pi$
$661$	−12.3829	−	27.1148i	−0.481640	−	1.05464i	0.500370	−	0.865812i	$-0.333197\pi$
$662$	8.17259	+	27.8333i	0.317637	+	1.08177i
$663$	27.1233	+	12.3868i	1.05338	+	0.481063i
$664$	1.20371	−	8.37199i	0.0467130	−	0.324896i
$665$	0.212344	−	0.0392771i	0.00823435	−	0.00152310i
$666$	0.659860			0.0255691
$667$	0.689493	−	5.78095i	0.0266973	−	0.223839i
$668$			9.42018i			0.364478i
$669$	37.6573	−	24.2009i	1.45592	−	0.935661i
$670$	23.7132	+	13.9289i	0.916121	+	0.538121i
$671$	−0.189983	+	0.416004i	−0.00733419	+	0.0160596i
$672$	1.21635	+	4.14250i	0.0469217	+	0.159801i
$673$	1.22269	−	0.558383i	0.0471312	−	0.0215241i	−0.391710	−	0.920089i	$-0.628116\pi$
$673$	1.22269	−	0.558383i	0.0471312	−	0.0215241i	0.438841	+	0.898565i	$0.355389\pi$
$674$	−11.2978	−	13.0384i	−0.435175	−	0.502219i
$675$	21.4611	+	15.7727i	0.826039	+	0.607090i
$676$	−30.6389	−	8.99640i	−1.17842	−	0.346015i
$677$	−20.6605	−	17.9025i	−0.794049	−	0.688047i	0.160192	−	0.987086i	$-0.448789\pi$
$677$	−20.6605	−	17.9025i	−0.794049	−	0.688047i	−0.954241	+	0.299038i	$0.903334\pi$
$678$	13.1395	−	20.4455i	0.504621	−	0.785205i
$679$	31.7625	+	20.4125i	1.21893	+	0.783362i
$680$	2.66609	+	5.26809i	0.102240	+	0.202022i
$681$	−35.6490	−	10.4675i	−1.36607	−	0.401116i
$682$	0.190692	−	0.0274174i	0.00730199	−	0.00104987i
$683$	12.7455	−	11.0440i	0.487691	−	0.422587i	−0.375991	−	0.926623i	$-0.622698\pi$
$683$	12.7455	−	11.0440i	0.487691	−	0.422587i	0.863682	+	0.504036i	$0.168152\pi$
$684$	−0.00253456	−	0.00554991i	−9.69113e−5	−	0.000212206i
$685$	46.7911	+	4.82229i	1.78779	+	0.184250i
$686$	7.91245	−	17.3259i	0.302099	−	0.661504i
$687$	33.7938	+	4.85882i	1.28931	+	0.185375i
$688$	−0.751860	−	1.16992i	−0.0286644	−	0.0446027i
$689$	−68.0543			−2.59266
$690$	−17.6250	−	3.96733i	−0.670973	−	0.151034i
$691$	38.6753			1.47128			0.735640	−	0.677373i	$-0.236882\pi$
$691$	38.6753			1.47128			0.735640	+	0.677373i	$0.236882\pi$
$692$	−9.04195	−	14.0696i	−0.343723	−	0.534844i
$693$	0.0138120	+	0.00198586i	0.000524673	+	7.54366e-5i
$694$	12.7905	−	28.0073i	0.485521	−	1.06314i
$695$	3.29743	−	31.9952i	0.125079	−	1.21365i
$696$	0.849568	+	1.86029i	0.0322028	+	0.0705142i
$697$	−21.1560	+	18.3318i	−0.801341	+	0.694366i
$698$	−2.91834	+	0.419594i	−0.110461	+	0.0158819i
$699$	3.99715	+	1.17367i	0.151186	+	0.0443923i
$700$	−1.02662	−	12.7726i	−0.0388027	−	0.482759i
$701$	2.71869	+	1.74720i	0.102684	+	0.0659908i	0.590975	−	0.806690i	$-0.298743\pi$
$701$	2.71869	+	1.74720i	0.102684	+	0.0659908i	−0.488291	+	0.872681i	$0.662380\pi$
$702$	−19.3042	+	30.0379i	−0.728589	+	1.13371i
$703$	−0.116069	−	0.100574i	−0.00437761	−	0.00379322i
$704$	−0.0322675	−	0.00947458i	−0.00121613	−	0.000357087i
$705$	17.4969	+	4.38387i	0.658972	+	0.165106i
$706$	−5.58025	−	6.43995i	−0.210015	−	0.242371i
$707$	−2.20145	+	1.00537i	−0.0827939	+	0.0378107i
$708$	−1.68374	−	5.73429i	−0.0632788	−	0.215508i
$709$	−10.2821	+	22.5146i	−0.386151	+	0.845553i	0.612338	+	0.790596i	$0.290229\pi$
$709$	−10.2821	+	22.5146i	−0.386151	+	0.845553i	−0.998489	+	0.0549566i	$0.982498\pi$
$710$	−8.30126	+	14.1324i	−0.311541	+	0.530381i
$711$	−1.32476	+	0.851373i	−0.0496825	+	0.0319290i
$712$		−	4.31136i		−	0.161575i
$713$	−10.8077	+	25.2586i	−0.404751	+	0.945943i
$714$	−11.4000			−0.426634
$715$	0.495659	−	0.0916816i	0.0185366	−	0.00342870i
$716$	−1.43974	+	10.0136i	−0.0538056	+	0.374226i
$717$	38.9860	+	17.8043i	1.45596	+	0.664913i
$718$	−1.67457	−	5.70305i	−0.0624942	−	0.212836i
$719$	10.4098	+	22.7942i	0.388218	+	0.850079i	0.998330	+	0.0577642i	$0.0183972\pi$
$719$	10.4098	+	22.7942i	0.388218	+	0.850079i	−0.610112	+	0.792315i	$0.708876\pi$
$720$	−0.343003	+	0.115842i	−0.0127830	+	0.00431719i
$721$	−0.914632	−	6.36141i	−0.0340627	−	0.236911i
$722$	5.35252	−	18.2290i	0.199200	−	0.678413i
$723$	14.8100	+	12.8329i	0.550789	+	0.477261i
$724$	−1.51559	−	0.974009i	−0.0563264	−	0.0361988i
$725$	−1.34239	−	5.91947i	−0.0498552	−	0.219844i
$726$	−12.1342	+	14.0036i	−0.450341	+	0.519722i
$727$	−3.16647	+	10.7840i	−0.117438	+	0.399957i	−0.997141	−	0.0755670i	$-0.975923\pi$
$727$	−3.16647	+	10.7840i	−0.117438	+	0.399957i	0.879703	+	0.475524i	$0.157742\pi$
$728$	17.0037	−	2.44477i	0.630200	−	0.0906091i
$729$	18.5297	+	21.3844i	0.686285	+	0.792016i
$730$	−10.5259	+	0.422339i	−0.389581	+	0.0156315i
$731$	3.52333	−	1.03454i	0.130315	−	0.0382640i
$732$	20.8395	+	9.51708i	0.770250	+	0.351761i
$733$	37.5698	+	5.40172i	1.38767	+	0.199517i	0.795333	−	0.606172i	$-0.207296\pi$
$733$	37.5698	+	5.40172i	1.38767	+	0.199517i	0.592338	+	0.805689i	$0.298205\pi$
$734$	28.6008	−	18.3806i	1.05567	−	0.678440i
$735$	−1.50714	−	0.616518i	−0.0555916	−	0.0227406i
$736$	3.54774	−	3.22700i	0.130772	−	0.118949i
$737$		−	0.413613i		−	0.0152356i
$738$	−0.928002	−	1.44400i	−0.0341602	−	0.0531544i
$739$	−2.55239	+	17.7523i	−0.0938913	+	0.653028i	0.887471	+	0.460863i	$0.152460\pi$
$739$	−2.55239	+	17.7523i	−0.0938913	+	0.653028i	−0.981363	+	0.192165i	$0.938449\pi$
$740$	−6.64247	+	6.23918i	−0.244182	+	0.229357i
$741$	0.408307	−	0.119890i	0.0149995	−	0.00440426i
$742$	23.6673	−	10.8085i	0.868854	−	0.396793i
$743$	−7.29821	+	6.32393i	−0.267745	+	0.232003i	−0.778377	−	0.627797i	$-0.783957\pi$
$743$	−7.29821	+	6.32393i	−0.267745	+	0.232003i	0.510632	+	0.859799i	$0.329411\pi$
$744$	−1.37346	−	9.55264i	−0.0503536	−	0.350217i
$745$	16.6453	−	20.8427i	0.609837	−	0.763618i
$746$	−3.72851	+	4.30293i	−0.136511	+	0.157542i
$747$	−0.740370	+	1.15204i	−0.0270887	+	0.0421509i
$748$	0.0480082	−	0.0747022i	0.00175535	−	0.00273138i
$749$	17.3734	−	20.0500i	0.634812	−	0.732612i
$750$	−18.6990	+	2.26053i	−0.682790	+	0.0825428i
$751$	−6.40949	−	44.5790i	−0.233885	−	1.62671i	−0.681036	−	0.732250i	$-0.738470\pi$
$751$	−6.40949	−	44.5790i	−0.233885	−	1.62671i	0.447150	−	0.894459i	$-0.352439\pi$
$752$	−3.61878	+	3.13569i	−0.131963	+	0.114347i
$753$	0.762465	−	0.348206i	0.0277858	−	0.0126893i
$754$	7.80772	−	2.29255i	0.284340	−	0.0834898i
$755$	−10.5243	−	11.2045i	−0.383017	−	0.407775i
$756$	1.94277	−	13.5122i	0.0706577	−	0.491435i
$757$	24.2961	+	37.8055i	0.883056	+	1.37406i	0.927013	+	0.375029i	$0.122367\pi$
$757$	24.2961	+	37.8055i	0.883056	+	1.37406i	−0.0439565	+	0.999033i	$0.513996\pi$
$758$		−	1.39562i		−	0.0506913i
$759$	0.0828062	+	0.258781i	0.00300568	+	0.00939316i
$760$	0.0779901	+	0.0319031i	0.00282900	+	0.00115725i
$761$	−15.9946	+	10.2791i	−0.579805	+	0.372618i	−0.797427	−	0.603415i	$-0.793806\pi$
$761$	−15.9946	+	10.2791i	−0.579805	+	0.372618i	0.217622	+	0.976033i	$0.430170\pi$
$762$	−14.3308	−	2.06046i	−0.519152	−	0.0746427i
$763$	5.64445	+	2.57774i	0.204343	+	0.0933203i
$764$	−11.3228	+	3.32469i	−0.409646	+	0.120283i
$765$	−0.0383256	−	0.955184i	−0.00138566	−	0.0345348i
$766$	23.2346	+	26.8142i	0.839501	+	0.968835i
$767$	−23.5375	+	3.38419i	−0.849892	+	0.122196i
$768$	−0.474625	+	1.61642i	−0.0171265	+	0.0583276i
$769$	−24.1785	+	27.9034i	−0.871898	+	1.00622i	0.127998	+	0.991774i	$0.459145\pi$
$769$	−24.1785	+	27.9034i	−0.871898	+	1.00622i	−0.999896	+	0.0144492i	$0.995401\pi$
$770$	−0.157815	+	0.110606i	−0.00568725	+	0.00398595i
$771$	−4.84341	−	3.11267i	−0.174431	−	0.112100i
$772$	−15.0912	−	13.0766i	−0.543145	−	0.470638i
$773$	−2.60003	+	8.85490i	−0.0935167	+	0.318489i	−0.992944	−	0.118581i	$-0.962165\pi$
$773$	−2.60003	+	8.85490i	−0.0935167	+	0.318489i	0.899428	+	0.437070i	$0.143984\pi$
$774$	0.0320440	+	0.222871i	0.00115180	+	0.00801092i
$775$	−1.79176	+	28.5872i	−0.0643621	+	1.02688i
$776$	6.12016	+	13.4013i	0.219701	+	0.481078i
$777$	−4.95727	−	16.8829i	−0.177841	−	0.605671i
$778$	−24.2193	−	11.0606i	−0.868302	−	0.396540i
$779$	−0.0568558	+	0.395441i	−0.00203707	+	0.0141681i
$780$	−4.59274	−	24.8298i	−0.164447	−	0.889049i
$781$	0.246502			0.00882054
$782$	5.53648	+	11.3889i	0.197984	+	0.407266i
$783$		−	6.46644i		−	0.231092i
$784$	0.363646	−	0.233701i	0.0129874	−	0.00834648i
$785$	−8.65445	+	14.7337i	−0.308890	+	0.525869i
$786$	12.1951	−	26.7035i	0.434983	−	0.952481i
$787$	−3.72955	−	12.7017i	−0.132944	−	0.452766i	0.865932	−	0.500162i	$-0.166726\pi$
$787$	−3.72955	−	12.7017i	−0.132944	−	0.452766i	−0.998876	+	0.0473954i	$0.984908\pi$
$788$	5.29170	−	2.41664i	0.188509	−	0.0860892i
$789$	1.46453	+	1.69016i	0.0521388	+	0.0601714i
$790$	5.28571	−	21.0963i	0.188057	−	0.750574i
$791$	35.4738	+	10.4160i	1.26130	+	0.370352i
$792$	0.00411499	+	0.00356566i	0.000146220	+	0.000126700i
$793$	49.2830	−	76.6858i	1.75009	−	2.72319i
$794$	11.7155	+	7.52909i	0.415767	+	0.267197i
$795$	−17.2695	−	34.1239i	−0.612485	−	1.21025i
$796$	11.4545	+	3.36333i	0.405992	+	0.119210i
$797$	40.5201	−	5.82591i	1.43530	−	0.206364i	0.619633	−	0.784892i	$-0.287282\pi$
$797$	40.5201	−	5.82591i	1.43530	−	0.206364i	0.815663	+	0.578528i	$0.196373\pi$
$798$	−0.122956	+	0.106542i	−0.00435261	+	0.00377156i
$799$	−5.25231	−	11.5009i	−0.185813	−	0.406874i
$800$	2.35751	−	4.40932i	0.0833507	−	0.155893i
$801$	−0.289978	+	0.634963i	−0.0102459	+	0.0224353i
$802$	−8.69038	−	1.24949i	−0.306868	−	0.0441210i
$803$	0.0856556	+	0.133283i	0.00302272	+	0.00470344i
$804$	−20.7197			−0.730729
$805$	−1.76297	−	27.4259i	−0.0621365	−	0.966637i
$806$	−38.4002			−1.35259
$807$	0.558510	+	0.869059i	0.0196605	+	0.0305923i
$808$	−0.934742	−	0.134396i	−0.0328841	−	0.00472802i
$809$	17.9986	−	39.4115i	0.632799	−	1.38564i	−0.273036	−	0.962004i	$-0.588028\pi$
$809$	17.9986	−	39.4115i	0.632799	−	1.38564i	0.905834	−	0.423632i	$-0.139245\pi$
$810$	−18.8799	−	1.94576i	−0.663372	−	0.0683671i
$811$	6.58287	+	14.4145i	0.231156	+	0.506161i	0.989295	−	0.145932i	$-0.0466182\pi$
$811$	6.58287	+	14.4145i	0.231156	+	0.506161i	−0.758139	+	0.652093i	$0.773891\pi$
$812$	−2.35119	+	2.03732i	−0.0825107	+	0.0714959i
$813$	−28.4516	+	4.09073i	−0.997843	+	0.143468i
$814$	0.131507	+	0.0386140i	0.00460932	+	0.00135342i
$815$	3.36816	−	1.70457i	0.117982	−	0.0597084i
$816$	−3.74217	−	2.40495i	−0.131002	−	0.0841900i
$817$	0.0283328	−	0.0440867i	0.000991239	−	0.00154240i
$818$	16.4778	+	14.2781i	0.576132	+	0.499221i
$819$	−2.66868	−	0.783596i	−0.0932514	−	0.0273811i
$820$	22.9952	+	5.76146i	0.803026	+	0.201199i
$821$	7.10428	+	8.19878i	0.247941	+	0.286139i	0.866054	−	0.499950i	$-0.166648\pi$
$821$	7.10428	+	8.19878i	0.247941	+	0.286139i	−0.618113	+	0.786089i	$0.712103\pi$
$822$	−32.2367	+	14.7220i	−1.12439	+	0.513490i
$823$	−13.8242	−	47.0809i	−0.481882	−	1.64114i	−0.738226	−	0.674553i	$-0.764336\pi$
$823$	−13.8242	−	47.0809i	−0.481882	−	1.64114i	0.256345	−	0.966585i	$-0.417482\pi$
$824$	1.04177	−	2.28115i	0.0362917	−	0.0794677i
$825$	0.171750	+	0.225269i	0.00597956	+	0.00784286i
$826$	7.64820	−	4.91520i	0.266115	−	0.171022i
$827$			37.5542i			1.30589i	0.757406	+	0.652944i	$0.226466\pi$
$827$			37.5542i			1.30589i	−0.757406	+	0.652944i	$0.773534\pi$
$828$	−0.739544	+	0.236643i	−0.0257009	+	0.00822393i
$829$	−45.4685			−1.57919			−0.789594	−	0.613630i	$-0.789709\pi$
$829$	−45.4685			−1.57919			−0.789594	+	0.613630i	$0.789709\pi$
$830$	−3.43994	−	18.5974i	−0.119402	−	0.645525i
$831$	−0.483692	+	3.36415i	−0.0167791	+	0.116701i
$832$	6.09741	+	2.78459i	0.211390	+	0.0965384i
$833$	0.321568	+	1.09516i	0.0111417	+	0.0379451i
$834$	10.0668	+	22.0432i	0.348584	+	0.763292i
$835$	6.73998	+	19.9567i	0.233246	+	0.690632i
$836$	−0.000180354	−	0.00125439i	−6.23767e−6	−	4.33840e-5i
$837$	−8.59712	+	29.2791i	−0.297160	+	1.01203i
$838$	5.35289	+	4.63831i	0.184913	+	0.160228i
$839$	13.8927	+	8.92831i	0.479630	+	0.308239i	0.758023	−	0.652228i	$-0.226165\pi$
$839$	13.8927	+	8.92831i	0.479630	+	0.308239i	−0.278393	+	0.960467i	$0.589802\pi$
$840$	5.54073	+	7.90566i	0.191174	+	0.272771i
$841$	18.0259	−	20.8030i	0.621583	−	0.717345i
$842$	0.878234	−	2.99099i	0.0302659	−	0.103076i
$843$	−43.6691	+	6.27866i	−1.50404	+	0.216249i
$844$	−15.3767	−	17.7457i	−0.529289	−	0.610832i
$845$	−71.3456	+	2.86265i	−2.45436	+	0.0984782i
$846$	0.743865	−	0.218418i	0.0255746	−	0.00750938i
$847$	−25.6402	−	11.7095i	−0.881008	−	0.402343i
$848$	10.0492	+	1.44486i	0.345092	+	0.0496167i
$849$	−26.0777	+	16.7591i	−0.894984	+	0.575171i
$850$	9.41736	+	9.25297i	0.323013	+	0.317374i
$851$	−14.4589	+	13.1517i	−0.495646	+	0.450835i
$852$		−	12.3484i		−	0.423049i
$853$	20.1053	+	31.2845i	0.688393	+	1.07116i	0.992935	+	0.118662i	$0.0378604\pi$
$853$	20.1053	+	31.2845i	0.688393	+	1.07116i	−0.304541	+	0.952499i	$0.598503\pi$
$854$	−4.95982	+	34.4963i	−0.169722	+	1.18044i
$855$	−0.00934035	−	0.00994411i	−0.000319433	−	0.000340081i
$856$	9.93278	−	2.91653i	0.339496	−	0.0996849i
$857$	−27.7735	+	12.6837i	−0.948726	+	0.433269i	−0.828819	−	0.559517i	$-0.810987\pi$
$857$	−27.7735	+	12.6837i	−0.948726	+	0.433269i	−0.119907	+	0.992785i	$0.538260\pi$
$858$	−0.287008	+	0.248694i	−0.00979829	+	0.00849027i
$859$	2.04672	+	14.2353i	0.0698332	+	0.485701i	0.994484	+	0.104885i	$0.0334475\pi$
$859$	2.04672	+	14.2353i	0.0698332	+	0.485701i	−0.924651	+	0.380815i	$0.875643\pi$
$860$	−2.42988	−	1.94054i	−0.0828582	−	0.0661718i
$861$	−29.9738	+	34.5917i	−1.02151	+	1.17888i
$862$	−14.4604	+	22.5009i	−0.492525	+	0.766383i
$863$	6.07380	−	9.45102i	0.206755	−	0.321717i	−0.722354	−	0.691524i	$-0.756940\pi$
$863$	6.07380	−	9.45102i	0.206755	−	0.321717i	0.929109	+	0.369807i	$0.120576\pi$
$864$	3.48828	−	4.02569i	0.118674	−	0.136957i
$865$	−29.2220	−	23.3371i	−0.993577	−	0.793486i
$866$	0.445262	+	3.09687i	0.0151306	+	0.105236i
$867$	−12.7673	+	11.0629i	−0.433600	+	0.375716i
$868$	13.3545	−	6.09879i	0.453281	−	0.207006i
$869$	−0.313840	+	0.0921517i	−0.0106463	+	0.00312603i
$870$	3.13083	+	3.33320i	0.106145	+	0.113006i
$871$	−11.7328	+	81.6033i	−0.397550	+	2.76502i
$872$	1.30905	+	2.03693i	0.0443301	+	0.0689790i
$873$		−	2.38533i		−	0.0807312i
$874$	0.166153	+	0.0710938i	0.00562022	+	0.00240478i
$875$	−11.3135	−	26.3244i	−0.382466	−	0.889926i
$876$	6.67673	−	4.29087i	0.225586	−	0.144975i
$877$	−4.27427	−	0.614547i	−0.144332	−	0.0207518i	0.0697702	−	0.997563i	$-0.477773\pi$
$877$	−4.27427	−	0.614547i	−0.144332	−	0.0207518i	−0.214102	+	0.976811i	$0.568682\pi$
$878$	−1.46849	−	0.670637i	−0.0495591	−	0.0226329i
$879$	32.6911	−	9.59897i	1.10264	−	0.323765i
$880$	−0.0751379	+	0.00301481i	−0.00253290	+	0.000101629i
$881$	−18.3806	−	21.2124i	−0.619258	−	0.714662i	0.356308	−	0.934369i	$-0.384036\pi$
$881$	−18.3806	−	21.2124i	−0.619258	−	0.714662i	−0.975566	+	0.219706i	$0.929490\pi$
$882$	−0.0692751	+	0.00996025i	−0.00233261	+	0.000335379i
$883$	−10.3877	+	35.3774i	−0.349575	+	1.19054i	0.577727	+	0.816230i	$0.303940\pi$
$883$	−10.3877	+	35.3774i	−0.349575	+	1.19054i	−0.927302	+	0.374314i	$0.877878\pi$
$884$	−11.5908	+	13.3765i	−0.389840	+	0.449899i
$885$	−7.66980	−	10.9435i	−0.257818	−	0.367861i
$886$	−25.3000	−	16.2593i	−0.849969	−	0.546242i
$887$	2.42449	+	2.10084i	0.0814065	+	0.0705392i	0.694614	−	0.719383i	$-0.255575\pi$
$887$	2.42449	+	2.10084i	0.0814065	+	0.0705392i	−0.613207	+	0.789922i	$0.710121\pi$
$888$	1.93435	−	6.58778i	0.0649124	−	0.221071i
$889$	−3.13444	−	21.8005i	−0.105126	−	0.731165i
$890$	−3.08471	−	9.13367i	−0.103400	−	0.306161i
$891$	0.118581	+	0.259655i	0.00397260	+	0.00869878i
$892$	7.48594	+	25.4948i	0.250648	+	0.853628i
$893$	−0.164135	−	0.0749581i	−0.00549258	−	0.00250838i
$894$	−2.85997	+	19.8915i	−0.0956516	+	0.665272i
$895$	4.11446	+	22.2441i	0.137531	+	0.743537i
$896$	−2.56276			−0.0856158
$897$	−8.99643	−	53.4048i	−0.300382	−	1.78314i
$898$			7.20090i			0.240297i
$899$	5.85036	−	3.75980i	0.195121	−	0.125396i
$900$	−0.643773	+	0.490826i	−0.0214591	+	0.0163609i
$901$	−11.1363	+	24.3851i	−0.371004	+	0.812386i
$902$	−0.100446	−	0.342088i	−0.00334449	−	0.0113903i
$903$	5.46154	−	2.49420i	0.181749	−	0.0830018i
$904$	9.44728	+	10.9027i	0.314212	+	0.362620i
$905$	−3.90768	−	0.979072i	−0.129896	−	0.0325454i
$906$	11.1123	+	3.26286i	0.369181	+	0.108401i
$907$	−19.5893	−	16.9742i	−0.650452	−	0.563620i	0.265896	−	0.964002i	$-0.414332\pi$
$907$	−19.5893	−	16.9742i	−0.650452	−	0.563620i	−0.916349	+	0.400381i	$0.868878\pi$
$908$	11.9234	−	18.5532i	0.395693	−	0.615711i
$909$	0.128626	+	0.0826631i	0.00426626	+	0.00274176i
$910$	34.2734	−	17.3451i	1.13615	−	0.574986i
$911$	4.34577	+	1.27603i	0.143982	+	0.0422769i	0.352929	−	0.935650i	$-0.385186\pi$
$911$	4.34577	+	1.27603i	0.143982	+	0.0422769i	−0.208948	+	0.977927i	$0.567004\pi$
$912$	−0.0628380	+	0.00903474i	−0.00208077	+	0.000299170i
$913$	−0.214968	+	0.186270i	−0.00711439	+	0.00616465i
$914$	8.44181	+	18.4850i	0.279230	+	0.611429i
$915$	50.9580	+	5.25173i	1.68462	+	0.173617i
$916$	−8.41878	+	18.4346i	−0.278164	+	0.609095i
$917$	44.2031	+	6.35545i	1.45972	+	0.209875i
$918$	7.60422	+	11.8324i	0.250977	+	0.390528i
$919$	−12.4969			−0.412234			−0.206117	−	0.978527i	$-0.566083\pi$
$919$	−12.4969			−0.412234			−0.206117	+	0.978527i	$0.566083\pi$
$920$	5.20707	−	9.37478i	0.171672	−	0.309077i
$921$	0.700200			0.0230724
$922$	10.4372	+	16.2406i	0.343732	+	0.534857i
$923$	−48.6334	−	6.99242i	−1.60079	−	0.230158i
$924$	0.0603151	−	0.132072i	0.00198422	−	0.00434484i
$925$	−9.60812	+	17.9703i	−0.315913	+	0.590861i
$926$	16.5763	+	36.2971i	0.544731	+	1.19280i
$927$	−0.306856	+	0.265892i	−0.0100785	+	0.00873304i
$928$	−1.20160	+	0.172764i	−0.0394444	+	0.00567125i
$929$	−16.0589	−	4.71531i	−0.526874	−	0.154704i	0.00746841	−	0.999972i	$-0.497623\pi$
$929$	−16.0589	−	4.71531i	−0.526874	−	0.154704i	−0.534343	+	0.845268i	$0.679441\pi$
$930$	−9.74444	−	19.2547i	−0.319533	−	0.631386i
$931$	0.0137035	+	0.00880671i	0.000449114	+	0.000288628i
$932$	−1.33692	+	2.08028i	−0.0437922	+	0.0681420i
$933$	19.7513	+	17.1146i	0.646630	+	0.560308i
$934$	−9.02772	−	2.65078i	−0.295396	−	0.0867361i
$935$	0.0482577	−	0.192607i	0.00157820	−	0.00629891i
$936$	−0.710717	−	0.820211i	−0.0232305	−	0.0268094i
$937$	−26.1731	+	11.9529i	−0.855039	+	0.390483i	−0.794194	−	0.607664i	$-0.792107\pi$
$937$	−26.1731	+	11.9529i	−0.855039	+	0.390483i	−0.0608446	+	0.998147i	$0.519379\pi$
$938$	−8.88006	−	30.2427i	−0.289944	−	0.987459i
$939$	0.894152	−	1.95792i	0.0291795	−	0.0638943i
$940$	−5.42289	+	9.23217i	−0.176875	+	0.301120i
$941$	11.7422	−	7.54627i	0.382786	−	0.246001i	−0.335070	−	0.942193i	$-0.608760\pi$
$941$	11.7422	−	7.54627i	0.382786	−	0.246001i	0.717856	+	0.696192i	$0.245124\pi$
$942$		−	12.8738i		−	0.419450i
$943$	49.1150	+	13.1450i	1.59940	+	0.428061i
$944$	3.54752			0.115462
$945$	−5.55200	−	30.0158i	−0.180606	−	0.976414i
$946$	−0.00665582	+	0.0462923i	−0.000216399	+	0.00150509i
$947$	−25.7745	−	11.7708i	−0.837560	−	0.382501i	−0.0500078	−	0.998749i	$-0.515925\pi$
$947$	−25.7745	−	11.7708i	−0.837560	−	0.382501i	−0.787552	+	0.616248i	$0.788652\pi$
$948$	4.61629	+	15.7217i	0.149930	+	0.510616i
$949$	−13.1185	−	28.7256i	−0.425846	−	0.932473i
$950$	0.188049	+	0.0117864i	0.00610111	+	0.000382400i
$951$	1.46853	+	10.2139i	0.0476204	+	0.331207i
$952$	1.90646	−	6.49282i	0.0617888	−	0.210433i
$953$	22.1985	+	19.2351i	0.719079	+	0.623086i	0.935546	−	0.353204i	$-0.114908\pi$
$953$	22.1985	+	19.2351i	0.719079	+	0.623086i	−0.216467	+	0.976290i	$0.569453\pi$
$954$	−1.38283	−	0.888694i	−0.0447709	−	0.0287725i
$955$	−21.6088	+	15.1447i	−0.699245	+	0.490071i
$956$	−16.6601	+	19.2268i	−0.538827	+	0.621839i
$957$	0.0193765	−	0.0659904i	0.000626354	−	0.00213317i
$958$	−8.50015	+	1.22214i	−0.274627	+	0.0394855i
$959$	−35.3044	−	40.7434i	−1.14004	−	1.31567i
$960$	0.151026	+	3.76399i	0.00487433	+	0.121482i
$961$	−1.74398	+	0.512078i	−0.0562574	+	0.0165187i
$962$	−24.8502	−	11.3487i	−0.801202	−	0.365897i
$963$	−1.65903	−	0.238532i	−0.0534615	−	0.00768660i
$964$	−9.78565	+	6.28886i	−0.315175	+	0.202550i
$965$	−41.3270	−	16.9054i	−1.33036	−	0.544206i
$966$	11.6106	+	17.1438i	0.373563	+	0.551594i
$967$		−	42.0561i		−	1.35243i	−0.736703	−	0.676216i	$-0.763619\pi$
$967$		−	42.0561i		−	1.35243i	0.736703	−	0.676216i	$-0.236381\pi$
$968$	−5.94644	−	9.25284i	−0.191126	−	0.297397i
$969$	0.0238561	−	0.165923i	0.000766368	−	0.00533021i
$970$	22.5540	+	24.0119i	0.724166	+	0.770975i
$971$	24.7740	−	7.27431i	0.795036	−	0.233444i	0.141102	−	0.989995i	$-0.454935\pi$
$971$	24.7740	−	7.27431i	0.795036	−	0.233444i	0.653934	+	0.756551i	$0.273117\pi$
$972$	−1.52884	+	0.698198i	−0.0490376	+	0.0223947i
$973$	−27.8600	+	24.1408i	−0.893149	+	0.773918i
$974$	−0.379586	−	2.64008i	−0.0121627	−	0.0845935i
$975$	−27.4950	−	49.3161i	−0.880546	−	1.57938i
$976$	−8.90548	+	10.2775i	−0.285057	+	0.328974i
$977$	−3.02991	+	4.71464i	−0.0969355	+	0.150835i	−0.886334	−	0.463047i	$-0.846756\pi$
$977$	−3.02991	+	4.71464i	−0.0969355	+	0.150835i	0.789398	+	0.613881i	$0.210393\pi$
$978$	−1.53761	+	2.39257i	−0.0491673	+	0.0765058i
$979$	−0.0949482	+	0.109576i	−0.00303456	+	0.00350207i
$980$	0.603179	−	0.755281i	0.0192679	−	0.0241266i
$981$	−0.0557913	−	0.388037i	−0.00178128	−	0.0123891i
$982$	−24.2972	+	21.0536i	−0.775354	+	0.671848i
$983$	−17.1356	+	7.82554i	−0.546539	+	0.249596i	−0.669496	−	0.742816i	$-0.733490\pi$
$983$	−17.1356	+	7.82554i	−0.546539	+	0.249596i	0.122956	+	0.992412i	$0.460762\pi$
$984$	−17.1367	+	5.03179i	−0.546298	+	0.160408i
$985$	9.48146	−	8.90579i	0.302104	−	0.283762i
$986$	0.456180	−	3.17280i	0.0145277	−	0.101043i
$987$	−11.1767	−	17.3913i	−0.355759	−	0.553571i
$988$			0.252599i			0.00803625i
$989$	−5.14421	−	4.24490i	−0.163576	−	0.134980i
$990$	0.0112688	+	0.00460968i	0.000358147	+	0.000146505i
$991$	29.3449	−	18.8588i	0.932171	−	0.599070i	0.0160066	−	0.999872i	$-0.494905\pi$
$991$	29.3449	−	18.8588i	0.932171	−	0.599070i	0.916165	+	0.400802i	$0.131268\pi$
$992$	5.67036	+	0.815274i	0.180034	+	0.0258850i
$993$	−44.4530	−	20.3010i	−1.41067	−	0.644233i
$994$	18.0238	−	5.29228i	0.571681	−	0.167861i
$995$	26.6728	−	1.07021i	0.845584	−	0.0339280i
$996$	9.33113	+	10.7687i	0.295668	+	0.341219i
$997$	27.0703	−	3.89212i	0.857325	−	0.123265i	0.300386	−	0.953818i	$-0.402885\pi$
$997$	27.0703	−	3.89212i	0.857325	−	0.123265i	0.556940	+	0.830553i	$0.311976\pi$
$998$	−9.19762	+	31.3242i	−0.291146	+	0.991551i
$999$	−14.2166	+	16.4068i	−0.449793	+	0.519089i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.219.5	yes	120
5.4	even	2	inner	230.2.j.a.219.8	yes	120
23.2	even	11	inner	230.2.j.a.209.8	yes	120
115.94	even	22	inner	230.2.j.a.209.5	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.209.5	✓	120	115.94	even	22	inner
230.2.j.a.209.8	yes	120	23.2	even	11	inner
230.2.j.a.219.5	yes	120	1.1	even	1	trivial
230.2.j.a.219.8	yes	120	5.4	even	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-0.540641 - 0.841254i) q^{2} +(1.66752 + 0.239753i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.229235 + 2.22429i) q^{5} +(-0.699835 - 1.53242i) q^{6} +(1.93680 - 1.67825i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-0.155349 - 0.0456147i) q^{9} +O(q^{10})\)	\(q+(-0.540641 - 0.841254i) q^{2} +(1.66752 + 0.239753i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.229235 + 2.22429i) q^{5} +(-0.699835 - 1.53242i) q^{6} +(1.93680 - 1.67825i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-0.155349 - 0.0456147i) q^{9} +(1.99512 - 1.00970i) q^{10} +(-0.0282911 - 0.0181816i) q^{11} +(-0.910798 + 1.41723i) q^{12} +(5.06591 + 4.38964i) q^{13} +(-2.45895 - 0.722013i) q^{14} +(-0.915532 + 3.65407i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(2.40187 - 1.09690i) q^{17} +(0.0456147 + 0.155349i) q^{18} +(0.0156543 - 0.0342782i) q^{19} +(-1.92805 - 1.13252i) q^{20} +(3.63202 - 2.33416i) q^{21} +0.0336297i q^{22} +(-4.09580 - 2.49489i) q^{23} +1.68466 q^{24} +(-4.89490 - 1.01977i) q^{25} +(0.953960 - 6.63493i) q^{26} +(-4.84538 - 2.21281i) q^{27} +(0.722013 + 2.45895i) q^{28} +(0.504295 + 1.10425i) q^{29} +(3.56898 - 1.20535i) q^{30} +(-0.815274 - 5.67036i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(-0.0428168 - 0.0371010i) q^{33} +(-2.22132 - 1.42755i) q^{34} +(3.28893 + 4.69272i) q^{35} +(0.106027 - 0.122362i) q^{36} +(1.14821 - 3.91044i) q^{37} +(-0.0373000 + 0.00536294i) q^{38} +(7.39506 + 8.53436i) q^{39} +(0.0896473 + 2.23427i) q^{40} +(-10.1722 + 2.98682i) q^{41} +(-3.92723 - 1.79351i) q^{42} +(1.37653 + 0.197915i) q^{43} +(0.0282911 - 0.0181816i) q^{44} +(0.137072 - 0.335085i) q^{45} +(0.115523 + 4.79444i) q^{46} -4.78833i q^{47} +(-0.910798 - 1.41723i) q^{48} +(-0.0615181 + 0.427867i) q^{49} +(1.78850 + 4.66918i) q^{50} +(4.26814 - 1.25324i) q^{51} +(-6.09741 + 2.78459i) q^{52} +(-7.67279 + 6.64851i) q^{53} +(0.758076 + 5.27253i) q^{54} +(0.0469264 - 0.0587597i) q^{55} +(1.67825 - 1.93680i) q^{56} +(0.0343221 - 0.0534063i) q^{57} +(0.656313 - 1.02124i) q^{58} +(-2.32313 + 2.68104i) q^{59} +(-2.94354 - 2.35075i) q^{60} +(-1.93535 - 13.4606i) q^{61} +(-4.32944 + 3.75148i) q^{62} +(-0.377434 + 0.172368i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-10.9251 + 10.2618i) q^{65} +(-0.00806281 + 0.0560781i) q^{66} +(6.64936 + 10.3466i) q^{67} +2.64048i q^{68} +(-6.23165 - 5.14224i) q^{69} +(2.16964 - 5.30390i) q^{70} +(-6.16630 + 3.96284i) q^{71} +(-0.160260 - 0.0230419i) q^{72} +(-4.28538 - 1.95707i) q^{73} +(-3.91044 + 1.14821i) q^{74} +(-7.91784 - 2.87405i) q^{75} +(0.0246775 + 0.0284794i) q^{76} +(-0.0853076 + 0.0122654i) q^{77} +(3.18149 - 10.8351i) q^{78} +(6.36931 - 7.35057i) q^{79} +(1.83112 - 1.28335i) q^{80} +(-7.14061 - 4.58899i) q^{81} +(8.01217 + 6.94259i) q^{82} +(2.38292 - 8.11547i) q^{83} +(0.614428 + 4.27344i) q^{84} +(1.88922 + 5.59389i) q^{85} +(-0.577711 - 1.26501i) q^{86} +(0.576173 + 1.96226i) q^{87} +(-0.0305907 - 0.0139703i) q^{88} +(0.613571 - 4.26748i) q^{89} +(-0.355998 + 0.0658487i) q^{90} +17.1786 q^{91} +(3.97088 - 2.68925i) q^{92} -9.65087i q^{93} +(-4.02820 + 2.58877i) q^{94} +(0.0726560 + 0.0426775i) q^{95} +(-0.699835 + 1.53242i) q^{96} +(4.15067 + 14.1359i) q^{97} +(0.393204 - 0.179570i) q^{98} +(0.00356566 + 0.00411499i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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