LMFDB - Embedded newform 289.2.h.a.149.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [289,2,Mod(4,289)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(289, base_ring=CyclotomicField(68))

chi = DirichletCharacter(H, H._module([27]))

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

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

chi := DirichletCharacter("289.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 289 = 17^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	289.h (of order $68$, degree $32$, 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:	$2.30767661842$
Analytic rank:	$0$
Dimension:	$768$
Relative dimension:	$24$ over $\Q(\zeta_{68})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{68}]$

Embedding invariants

Embedding label			149.1
Character	$\chi$	$=$	289.149
Dual form			289.2.h.a.225.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39986 + 2.26084i) q^{2} +(0.723775 + 1.05658i) q^{3} +(-2.26034 - 4.53938i) q^{4} +(1.26014 - 1.51753i) q^{5} +(-3.40195 + 0.157281i) q^{6} +(1.95788 - 0.864487i) q^{7} +(8.13140 + 0.753485i) q^{8} +(0.491211 - 1.26796i) q^{9} +O(q^{10})$	\(q+(-1.39986 + 2.26084i) q^{2} +(0.723775 + 1.05658i) q^{3} +(-2.26034 - 4.53938i) q^{4} +(1.26014 - 1.51753i) q^{5} +(-3.40195 + 0.157281i) q^{6} +(1.95788 - 0.864487i) q^{7} +(8.13140 + 0.753485i) q^{8} +(0.491211 - 1.26796i) q^{9} +(1.66688 + 4.97330i) q^{10} +(0.977398 + 0.327591i) q^{11} +(3.16025 - 5.67373i) q^{12} +(-0.477612 + 5.15425i) q^{13} +(-0.786273 + 5.63661i) q^{14} +(2.51545 + 0.233091i) q^{15} +(-6.97436 + 9.23554i) q^{16} +(4.05479 - 0.747449i) q^{17} +(2.17904 + 2.88551i) q^{18} +(-2.11263 - 3.41201i) q^{19} +(-9.73699 - 2.29012i) q^{20} +(2.33046 + 1.44296i) q^{21} +(-2.10885 + 1.75117i) q^{22} +(0.984393 - 0.434652i) q^{23} +(5.08919 + 9.13684i) q^{24} +(0.203806 + 1.09027i) q^{25} +(-10.9844 - 8.29501i) q^{26} +(5.43530 - 1.27837i) q^{27} +(-8.34971 - 6.93351i) q^{28} +(2.62395 - 7.82880i) q^{29} +(-4.04825 + 5.36075i) q^{30} +(-3.74638 + 3.11095i) q^{31} +(-5.21706 - 13.4668i) q^{32} +(0.361290 + 1.26980i) q^{33} +(-3.98625 + 10.2136i) q^{34} +(1.15531 - 4.06051i) q^{35} +(-6.86606 + 0.636234i) q^{36} +(-5.97292 + 3.32689i) q^{37} +10.6714 q^{38} +(-5.79157 + 3.22588i) q^{39} +(11.3901 - 11.3901i) q^{40} +(-4.66476 + 3.19544i) q^{41} +(-6.52462 + 3.24888i) q^{42} +(-0.303961 + 0.229540i) q^{43} +(-0.722196 - 5.17725i) q^{44} +(-1.30517 - 2.34323i) q^{45} +(-0.395327 + 2.83401i) q^{46} +(6.47119 - 2.50695i) q^{47} +(-14.8060 - 0.684522i) q^{48} +(-1.62993 + 1.78795i) q^{49} +(-2.75023 - 1.06544i) q^{50} +(3.72450 + 3.74323i) q^{51} +(24.4767 - 9.48231i) q^{52} +(-3.76912 + 9.72921i) q^{53} +(-4.71844 + 14.0779i) q^{54} +(1.72879 - 1.07042i) q^{55} +(16.5716 - 5.55425i) q^{56} +(2.07600 - 4.70169i) q^{57} +(14.0265 + 16.8915i) q^{58} +(2.77750 + 3.04677i) q^{59} +(-4.62770 - 11.9455i) q^{60} +(5.25397 - 0.242905i) q^{61} +(-1.78899 - 12.8249i) q^{62} +(-0.134406 - 2.90716i) q^{63} +(14.9973 + 2.80348i) q^{64} +(7.21987 + 7.21987i) q^{65} +(-3.37658 - 0.960720i) q^{66} +(7.66215 - 4.74420i) q^{67} +(-12.5582 - 16.7167i) q^{68} +(1.17172 + 0.725501i) q^{69} +(7.56290 + 8.29611i) q^{70} +(-5.12966 - 11.6176i) q^{71} +(4.94962 - 9.94017i) q^{72} +(-9.92245 + 1.38412i) q^{73} +(0.839633 - 18.1610i) q^{74} +(-1.00445 + 1.00445i) q^{75} +(-10.7132 + 17.3023i) q^{76} +(2.19682 - 0.203566i) q^{77} +(0.814141 - 17.6096i) q^{78} +(-0.986795 + 4.19560i) q^{79} +(5.22654 + 22.2219i) q^{80} +(2.26997 + 2.06935i) q^{81} +(-0.694391 - 15.0194i) q^{82} +(-2.98006 - 15.9419i) q^{83} +(1.28251 - 13.8404i) q^{84} +(3.97533 - 7.09515i) q^{85} +(-0.0934541 - 1.00853i) q^{86} +(10.1709 - 2.89388i) q^{87} +(7.70078 + 3.40023i) q^{88} +(1.46181 + 15.7754i) q^{89} +(7.12474 + 0.329397i) q^{90} +(3.52068 + 10.5043i) q^{91} +(-4.19811 - 3.48607i) q^{92} +(-5.99851 - 1.70672i) q^{93} +(-3.39090 + 18.1397i) q^{94} +(-7.84003 - 1.09364i) q^{95} +(10.4528 - 15.2592i) q^{96} +(-0.277259 - 0.627932i) q^{97} +(-1.76060 - 6.18788i) q^{98} +(0.895481 - 1.07839i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9}+O(q^{10}) $ 768 * q - 34 * q^2 - 34 * q^3 + 14 * q^4 - 34 * q^5 - 34 * q^6 - 34 * q^7 - 34 * q^8 - 34 * q^9	\( 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9} + 34 q^{10} - 34 q^{11} - 34 q^{12} - 30 q^{13} - 34 q^{14} - 34 q^{15} - 82 q^{16} - 34 q^{17} - 42 q^{18} - 34 q^{19} - 34 q^{20} - 26 q^{21} - 34 q^{22} - 34 q^{23} - 204 q^{24} + 170 q^{25} - 34 q^{26} - 34 q^{27} - 34 q^{28} - 34 q^{29} - 14 q^{30} - 34 q^{31} - 34 q^{32} + 56 q^{33} - 34 q^{34} - 42 q^{35} - 34 q^{36} - 34 q^{37} + 144 q^{38} - 170 q^{39} - 34 q^{40} - 34 q^{41} - 34 q^{42} - 34 q^{43} - 34 q^{44} - 34 q^{45} + 102 q^{46} - 30 q^{47} - 34 q^{48} - 34 q^{49} - 62 q^{50} + 238 q^{51} - 50 q^{52} + 136 q^{54} - 14 q^{55} - 34 q^{56} - 34 q^{57} - 34 q^{58} - 34 q^{59} - 34 q^{60} - 34 q^{61} - 238 q^{62} - 34 q^{63} + 38 q^{64} - 34 q^{65} + 476 q^{66} + 82 q^{67} - 34 q^{68} - 62 q^{69} - 34 q^{70} - 34 q^{71} + 10 q^{72} - 34 q^{73} - 34 q^{74} + 102 q^{75} - 102 q^{76} - 374 q^{77} - 34 q^{78} + 68 q^{79} - 34 q^{80} + 30 q^{81} - 34 q^{82} + 102 q^{83} - 82 q^{84} - 204 q^{85} - 62 q^{86} - 34 q^{87} + 170 q^{88} - 22 q^{89} - 34 q^{90} - 34 q^{91} + 34 q^{92} - 34 q^{93} + 238 q^{94} - 34 q^{95} + 544 q^{96} - 34 q^{97} + 10 q^{98} - 34 q^{99}+O(q^{100}) \) 768 * q - 34 * q^2 - 34 * q^3 + 14 * q^4 - 34 * q^5 - 34 * q^6 - 34 * q^7 - 34 * q^8 - 34 * q^9 + 34 * q^10 - 34 * q^11 - 34 * q^12 - 30 * q^13 - 34 * q^14 - 34 * q^15 - 82 * q^16 - 34 * q^17 - 42 * q^18 - 34 * q^19 - 34 * q^20 - 26 * q^21 - 34 * q^22 - 34 * q^23 - 204 * q^24 + 170 * q^25 - 34 * q^26 - 34 * q^27 - 34 * q^28 - 34 * q^29 - 14 * q^30 - 34 * q^31 - 34 * q^32 + 56 * q^33 - 34 * q^34 - 42 * q^35 - 34 * q^36 - 34 * q^37 + 144 * q^38 - 170 * q^39 - 34 * q^40 - 34 * q^41 - 34 * q^42 - 34 * q^43 - 34 * q^44 - 34 * q^45 + 102 * q^46 - 30 * q^47 - 34 * q^48 - 34 * q^49 - 62 * q^50 + 238 * q^51 - 50 * q^52 + 136 * q^54 - 14 * q^55 - 34 * q^56 - 34 * q^57 - 34 * q^58 - 34 * q^59 - 34 * q^60 - 34 * q^61 - 238 * q^62 - 34 * q^63 + 38 * q^64 - 34 * q^65 + 476 * q^66 + 82 * q^67 - 34 * q^68 - 62 * q^69 - 34 * q^70 - 34 * q^71 + 10 * q^72 - 34 * q^73 - 34 * q^74 + 102 * q^75 - 102 * q^76 - 374 * q^77 - 34 * q^78 + 68 * q^79 - 34 * q^80 + 30 * q^81 - 34 * q^82 + 102 * q^83 - 82 * q^84 - 204 * q^85 - 62 * q^86 - 34 * q^87 + 170 * q^88 - 22 * q^89 - 34 * q^90 - 34 * q^91 + 34 * q^92 - 34 * q^93 + 238 * q^94 - 34 * q^95 + 544 * q^96 - 34 * q^97 + 10 * q^98 - 34 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/289\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{21}{68}\right)$

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 $

$2$	−1.39986	+	2.26084i	−0.989847	+	1.59866i	−0.205195	+	0.978721i	$0.565783\pi$
$2$	−1.39986	+	2.26084i	−0.989847	+	1.59866i	−0.784652	+	0.619937i	$0.787158\pi$
$3$	0.723775	+	1.05658i	0.417872	+	0.610018i	0.975480	−	0.220086i	$-0.0706339\pi$
$3$	0.723775	+	1.05658i	0.417872	+	0.610018i	−0.557609	+	0.830104i	$0.688281\pi$
$4$	−2.26034	−	4.53938i	−1.13017	−	2.26969i
$5$	1.26014	−	1.51753i	0.563552	−	0.678660i	−0.408681	−	0.912677i	$-0.634011\pi$
$5$	1.26014	−	1.51753i	0.563552	−	0.678660i	0.972232	+	0.234018i	$0.0751875\pi$
$6$	−3.40195	+	0.157281i	−1.38884	+	0.0642099i
$7$	1.95788	−	0.864487i	0.740007	−	0.326745i	0.000596708	−	1.00000i	$-0.499810\pi$
$7$	1.95788	−	0.864487i	0.740007	−	0.326745i	0.739411	+	0.673255i	$0.235104\pi$
$8$	8.13140	+	0.753485i	2.87488	+	0.266397i
$9$	0.491211	−	1.26796i	0.163737	−	0.422654i
$10$	1.66688	+	4.97330i	0.527114	+	1.57270i
$11$	0.977398	+	0.327591i	0.294697	+	0.0987724i	0.461279	−	0.887255i	$-0.347391\pi$
$11$	0.977398	+	0.327591i	0.294697	+	0.0987724i	−0.166582	+	0.986028i	$0.553273\pi$
$12$	3.16025	−	5.67373i	0.912285	−	1.63786i
$13$	−0.477612	+	5.15425i	−0.132466	+	1.42953i	0.627018	+	0.779005i	$0.284275\pi$
$13$	−0.477612	+	5.15425i	−0.132466	+	1.42953i	−0.759483	+	0.650527i	$0.774548\pi$
$14$	−0.786273	+	5.63661i	−0.210140	+	1.50645i
$15$	2.51545	+	0.233091i	0.649487	+	0.0601838i
$16$	−6.97436	+	9.23554i	−1.74359	+	2.30889i
$17$	4.05479	−	0.747449i	0.983431	−	0.181283i
$17$	4.05479	−	0.747449i	0.983431	−	0.181283i
$18$	2.17904	+	2.88551i	0.513604	+	0.680122i
$19$	−2.11263	−	3.41201i	−0.484670	−	0.782769i	0.512441	−	0.858722i	$-0.328741\pi$
$19$	−2.11263	−	3.41201i	−0.484670	−	0.782769i	−0.997111	+	0.0759532i	$0.975800\pi$
$20$	−9.73699	−	2.29012i	−2.17726	−	0.512086i
$21$	2.33046	+	1.44296i	0.508549	+	0.314880i
$22$	−2.10885	+	1.75117i	−0.449608	+	0.373350i
$23$	0.984393	−	0.434652i	0.205260	−	0.0906312i	−0.298741	−	0.954334i	$-0.596567\pi$
$23$	0.984393	−	0.434652i	0.205260	−	0.0906312i	0.504001	+	0.863703i	$0.331861\pi$
$24$	5.08919	+	9.13684i	1.03883	+	1.86505i
$25$	0.203806	+	1.09027i	0.0407613	+	0.218054i
$26$	−10.9844	−	8.29501i	−2.15421	−	1.62679i
$27$	5.43530	−	1.27837i	1.04602	−	0.246023i
$28$	−8.34971	−	6.93351i	−1.57795	−	1.31031i
$29$	2.62395	−	7.82880i	0.487255	−	1.45377i	−0.365179	−	0.930937i	$-0.618992\pi$
$29$	2.62395	−	7.82880i	0.487255	−	1.45377i	0.852434	−	0.522835i	$-0.175125\pi$
$30$	−4.04825	+	5.36075i	−0.739106	+	0.978734i
$31$	−3.74638	+	3.11095i	−0.672870	+	0.558744i	−0.910958	−	0.412500i	$-0.864656\pi$
$31$	−3.74638	+	3.11095i	−0.672870	+	0.558744i	0.238088	+	0.971244i	$0.423479\pi$
$32$	−5.21706	−	13.4668i	−0.922255	−	2.38061i
$33$	0.361290	+	1.26980i	0.0628926	+	0.221044i
$34$	−3.98625	+	10.2136i	−0.683637	+	1.75161i
$35$	1.15531	−	4.06051i	0.195284	−	0.686351i
$36$	−6.86606	+	0.636234i	−1.14434	+	0.106039i
$37$	−5.97292	+	3.32689i	−0.981941	+	0.546938i	−0.893461	−	0.449140i	$-0.851730\pi$
$37$	−5.97292	+	3.32689i	−0.981941	+	0.546938i	−0.0884800	+	0.996078i	$0.528201\pi$
$38$	10.6714			1.73113
$39$	−5.79157	+	3.22588i	−0.927394	+	0.516555i
$40$	11.3901	−	11.3901i	1.80094	−	1.80094i
$41$	−4.66476	+	3.19544i	−0.728513	+	0.499043i	−0.871325	−	0.490707i	$-0.836739\pi$
$41$	−4.66476	+	3.19544i	−0.728513	+	0.499043i	0.142811	+	0.989750i	$0.454386\pi$
$42$	−6.52462	+	3.24888i	−1.00677	+	0.501312i
$43$	−0.303961	+	0.229540i	−0.0463535	+	0.0350046i	−0.625557	−	0.780178i	$-0.715128\pi$
$43$	−0.303961	+	0.229540i	−0.0463535	+	0.0350046i	0.579204	+	0.815183i	$0.303364\pi$
$44$	−0.722196	−	5.17725i	−0.108875	−	0.780500i
$45$	−1.30517	−	2.34323i	−0.194564	−	0.349309i
$46$	−0.395327	+	2.83401i	−0.0582878	+	0.417852i
$47$	6.47119	−	2.50695i	0.943920	−	0.365677i	0.160407	−	0.987051i	$-0.448719\pi$
$47$	6.47119	−	2.50695i	0.943920	−	0.365677i	0.783514	+	0.621374i	$0.213425\pi$
$48$	−14.8060	−	0.684522i	−2.13706	−	0.0988022i
$49$	−1.62993	+	1.78795i	−0.232847	+	0.255421i
$50$	−2.75023	−	1.06544i	−0.388941	−	0.150676i
$51$	3.72450	+	3.74323i	0.521534	+	0.524157i
$52$	24.4767	−	9.48231i	3.39430	−	1.31496i
$53$	−3.76912	+	9.72921i	−0.517728	+	1.33641i	0.391526	+	0.920167i	$0.371947\pi$
$53$	−3.76912	+	9.72921i	−0.517728	+	1.33641i	−0.909254	+	0.416242i	$0.863347\pi$
$54$	−4.71844	+	14.0779i	−0.642098	+	1.91576i
$55$	1.72879	−	1.07042i	0.233110	−	0.144335i
$56$	16.5716	−	5.55425i	2.21448	−	0.742218i
$57$	2.07600	−	4.70169i	0.274973	−	0.622755i
$58$	14.0265	+	16.8915i	1.84178	+	2.21797i
$59$	2.77750	+	3.04677i	0.361600	+	0.396656i	0.892699	−	0.450654i	$-0.148809\pi$
$59$	2.77750	+	3.04677i	0.361600	+	0.396656i	−0.531099	+	0.847310i	$0.678221\pi$
$60$	−4.62770	−	11.9455i	−0.597433	−	1.54215i
$61$	5.25397	−	0.242905i	0.672701	−	0.0311009i	0.292864	−	0.956154i	$-0.405392\pi$
$61$	5.25397	−	0.242905i	0.672701	−	0.0311009i	0.379837	+	0.925053i	$0.375980\pi$
$62$	−1.78899	−	12.8249i	−0.227202	−	1.62876i
$63$	−0.134406	−	2.90716i	−0.0169336	−	0.366267i
$64$	14.9973	+	2.80348i	1.87466	+	0.350435i
$65$	7.21987	+	7.21987i	0.895514	+	0.895514i
$66$	−3.37658	−	0.960720i	−0.415628	−	0.118256i
$67$	7.66215	−	4.74420i	0.936080	−	0.579596i	0.0285541	−	0.999592i	$-0.490910\pi$
$67$	7.66215	−	4.74420i	0.936080	−	0.579596i	0.907526	+	0.419996i	$0.137969\pi$
$68$	−12.5582	−	16.7167i	−1.52290	−	2.02720i
$69$	1.17172	+	0.725501i	0.141059	+	0.0873400i
$70$	7.56290	+	8.29611i	0.903939	+	0.991574i
$71$	−5.12966	−	11.6176i	−0.608778	−	1.37875i	−0.905728	−	0.423859i	$-0.860675\pi$
$71$	−5.12966	−	11.6176i	−0.608778	−	1.37875i	0.296950	−	0.954893i	$-0.404031\pi$
$72$	4.94962	−	9.94017i	0.583318	−	1.17146i
$73$	−9.92245	+	1.38412i	−1.16134	+	0.161999i	−0.692588	−	0.721333i	$-0.743530\pi$
$73$	−9.92245	+	1.38412i	−1.16134	+	0.161999i	−0.468747	+	0.883332i	$0.655294\pi$
$74$	0.839633	−	18.1610i	0.0976054	−	2.11117i
$75$	−1.00445	+	1.00445i	−0.115984	+	0.115984i
$76$	−10.7132	+	17.3023i	−1.22888	+	1.98471i
$77$	2.19682	−	0.203566i	0.250351	−	0.0231985i
$78$	0.814141	−	17.6096i	0.0921834	−	1.99390i
$79$	−0.986795	+	4.19560i	−0.111023	+	0.472041i	0.888880	+	0.458140i	$0.151484\pi$
$79$	−0.986795	+	4.19560i	−0.111023	+	0.472041i	−0.999903	+	0.0139018i	$0.995575\pi$
$80$	5.22654	+	22.2219i	0.584344	+	2.48448i
$81$	2.26997	+	2.06935i	0.252218	+	0.229927i
$82$	−0.694391	−	15.0194i	−0.0766826	−	1.65862i
$83$	−2.98006	−	15.9419i	−0.327104	−	1.74985i	−0.611594	−	0.791172i	$-0.709471\pi$
$83$	−2.98006	−	15.9419i	−0.327104	−	1.74985i	0.284490	−	0.958679i	$-0.408176\pi$
$84$	1.28251	−	13.8404i	0.139933	−	1.51012i
$85$	3.97533	−	7.09515i	0.431185	−	0.769577i
$86$	−0.0934541	−	1.00853i	−0.0100774	−	0.108753i
$87$	10.1709	−	2.89388i	1.09044	−	0.310256i
$88$	7.70078	+	3.40023i	0.820906	+	0.362465i
$89$	1.46181	+	15.7754i	0.154952	+	1.67219i	0.618242	+	0.785987i	$0.287845\pi$
$89$	1.46181	+	15.7754i	0.154952	+	1.67219i	−0.463291	+	0.886206i	$0.653331\pi$
$90$	7.12474	+	0.329397i	0.751014	+	0.0347215i
$91$	3.52068	+	10.5043i	0.369067	+	1.10115i
$92$	−4.19811	−	3.48607i	−0.437684	−	0.363448i
$93$	−5.99851	−	1.70672i	−0.622017	−	0.176979i
$94$	−3.39090	+	18.1397i	−0.349745	+	1.87097i
$95$	−7.84003	−	1.09364i	−0.804370	−	0.112205i
$96$	10.4528	−	15.2592i	1.06683	−	1.55738i
$97$	−0.277259	−	0.627932i	−0.0281514	−	0.0637568i	0.900163	−	0.435554i	$-0.143448\pi$
$97$	−0.277259	−	0.627932i	−0.0281514	−	0.0637568i	−0.928314	+	0.371797i	$0.878742\pi$
$98$	−1.76060	−	6.18788i	−0.177848	−	0.625070i
$99$	0.895481	−	1.07839i	0.0899992	−	0.108382i
$100$	4.48847	−	3.38954i	0.448847	−	0.338954i
$101$	6.20672	+	5.65817i	0.617592	+	0.563009i	0.920859	−	0.389896i	$-0.127489\pi$
$101$	6.20672	+	5.65817i	0.617592	+	0.563009i	−0.303267	+	0.952906i	$0.598077\pi$
$102$	−13.6766	+	3.18052i	−1.35419	+	0.314919i
$103$	−7.78223	+	7.09444i	−0.766806	+	0.699036i	−0.959340	−	0.282254i	$-0.908918\pi$
$103$	−7.78223	+	7.09444i	−0.766806	+	0.699036i	0.192533	+	0.981290i	$0.438330\pi$
$104$	−7.76730	+	41.5514i	−0.761646	+	4.07445i
$105$	5.12645	−	1.71821i	0.500290	−	0.167680i
$106$	−16.7200	−	22.1409i	−1.62399	−	2.15051i
$107$	−13.1705	−	3.09768i	−1.27324	−	0.299464i	−0.463420	−	0.886139i	$-0.653378\pi$
$107$	−13.1705	−	3.09768i	−1.27324	−	0.299464i	−0.809823	+	0.586675i	$0.800437\pi$
$108$	−18.0887	−	21.7834i	−1.74058	−	2.09610i
$109$	7.83170	−	11.4329i	0.750141	−	1.09507i	−0.242040	−	0.970266i	$-0.577817\pi$
$109$	7.83170	−	11.4329i	0.750141	−	1.09507i	0.992181	−	0.124805i	$-0.0398305\pi$
$110$			5.40695i			0.515533i
$111$	−7.83818	−	3.90295i	−0.743967	−	0.370452i
$112$	−5.67092	+	24.1113i	−0.535852	+	2.27830i
$113$	−6.26467	+	4.29140i	−0.589330	+	0.403701i	−0.822525	−	0.568730i	$-0.807435\pi$
$113$	−6.26467	+	4.29140i	−0.589330	+	0.403701i	0.233194	+	0.972430i	$0.425082\pi$
$114$	7.72369	+	11.2752i	0.723390	+	1.05602i
$115$	0.580876	−	2.04157i	0.0541669	−	0.190377i
$116$	−41.4689	+	5.78467i	−3.85029	+	0.537093i
$117$	6.30078	+	3.13742i	0.582507	+	0.290054i
$118$	−10.7764	+	2.01445i	−0.992045	+	0.185445i
$119$	7.29262	−	4.96872i	0.668513	−	0.455482i
$120$	20.2785	+	3.79071i	1.85117	+	0.346043i
$121$	−7.93020	−	5.98861i	−0.720927	−	0.544419i
$122$	−6.80562	+	12.2184i	−0.616152	+	1.10620i
$123$	−6.75248	−	2.61592i	−0.608851	−	0.235870i
$124$	22.5899	+	9.97442i	2.02863	+	0.895729i
$125$	10.5275	+	5.86380i	0.941612	+	0.524474i
$126$	6.76077	+	3.76573i	0.602297	+	0.335477i
$127$	3.96999	−	1.12956i	0.352280	−	0.100232i	−0.0928949	−	0.995676i	$-0.529612\pi$
$127$	3.96999	−	1.12956i	0.352280	−	0.100232i	0.445175	+	0.895444i	$0.353141\pi$
$128$	−7.87324	+	8.63654i	−0.695903	+	0.763369i
$129$	−0.462527	−	0.155024i	−0.0407233	−	0.0136491i
$130$	−26.4298	+	6.21622i	−2.31804	+	0.545199i
$131$	−4.19310	−	4.19310i	−0.366353	−	0.366353i	0.499793	−	0.866145i	$-0.333410\pi$
$131$	−4.19310	−	4.19310i	−0.366353	−	0.366353i	−0.866145	+	0.499793i	$0.833410\pi$
$132$	4.94748	−	4.51023i	0.430623	−	0.392565i
$133$	−7.08590	−	4.85396i	−0.614426	−	0.420891i
$134$			23.9641i			2.07018i
$135$	4.90928	−	9.85916i	0.422523	−	0.848541i
$136$	33.5343	−	3.02258i	2.87554	−	0.259184i
$137$	−3.09350	−	6.21258i	−0.264295	−	0.530777i	0.722771	−	0.691087i	$-0.242868\pi$
$137$	−3.09350	−	6.21258i	−0.264295	−	0.530777i	−0.987067	+	0.160311i	$0.948750\pi$
$138$	−3.28049	+	1.63349i	−0.279254	+	0.139052i
$139$	−4.37456	−	18.5995i	−0.371046	−	1.57759i	−0.755948	−	0.654632i	$-0.772824\pi$
$139$	−4.37456	−	18.5995i	−0.371046	−	1.57759i	0.384902	−	0.922957i	$-0.374235\pi$
$140$	−21.0436	+	3.93373i	−1.77851	+	0.332461i
$141$	7.33249	+	5.02287i	0.617507	+	0.423002i
$142$	33.4463	+	4.66556i	2.80675	+	0.391525i
$143$	−2.15530	+	4.88130i	−0.180235	+	0.408194i
$144$	8.28443	+	13.3798i	0.690369	+	1.11498i
$145$	−8.57389	−	13.8473i	−0.712023	−	1.14996i
$146$	10.7607	−	24.3707i	0.890563	−	2.01693i
$147$	−3.06881	−	0.428081i	−0.253112	−	0.0353076i
$148$	28.6029	+	19.5934i	2.35114	+	1.61057i
$149$	6.18237	−	1.15569i	0.506480	−	0.0946774i	0.0756928	−	0.997131i	$-0.475883\pi$
$149$	6.18237	−	1.15569i	0.506480	−	0.0946774i	0.430787	+	0.902454i	$0.358236\pi$
$150$	−0.864818	−	3.67698i	−0.0706121	−	0.300224i
$151$	−17.8199	+	8.87325i	−1.45016	+	0.722095i	−0.986476	−	0.163905i	$-0.947591\pi$
$151$	−17.8199	+	8.87325i	−1.45016	+	0.722095i	−0.463686	+	0.886000i	$0.653473\pi$
$152$	−14.6077	−	29.3363i	−1.18484	−	2.37948i
$153$	1.04402	−	5.50847i	0.0844040	−	0.445333i
$154$	−2.61500	+	5.25164i	−0.210723	+	0.423189i
$155$			9.60548i			0.771530i
$156$	27.7345	+	18.9985i	2.22053	+	1.52110i
$157$	−13.7932	+	12.5742i	−1.10082	+	1.00353i	−0.100857	+	0.994901i	$0.532158\pi$
$157$	−13.7932	+	12.5742i	−1.10082	+	1.00353i	−0.999963	+	0.00862881i	$0.997253\pi$
$158$	−8.10422	−	8.10422i	−0.644737	−	0.644737i
$159$	−13.0077	+	3.05938i	−1.03158	+	0.242625i
$160$	−27.0105	−	9.05299i	−2.13536	−	0.715702i
$161$	1.55157	−	1.70199i	0.122281	−	0.134135i
$162$	−7.85609	+	2.23525i	−0.617233	+	0.175618i
$163$	2.11054	+	1.17556i	0.165310	+	0.0920773i	0.567077	−	0.823665i	$-0.308074\pi$
$163$	2.11054	+	1.17556i	0.165310	+	0.0920773i	−0.401766	+	0.915742i	$0.631604\pi$
$164$	25.0493	+	13.9523i	1.95602	+	1.08950i
$165$	2.38224	+	1.05186i	0.185457	+	0.0818873i
$166$	40.2138	+	15.5789i	3.12120	+	1.20916i
$167$	−5.80339	+	10.4191i	−0.449080	+	0.806253i	−0.999592	−	0.0285748i	$-0.990903\pi$
$167$	−5.80339	+	10.4191i	−0.449080	+	0.806253i	0.550512	+	0.834827i	$0.314433\pi$
$168$	17.8627	+	13.4893i	1.37813	+	1.04072i
$169$	−13.5595	−	2.53472i	−1.04304	−	0.194978i
$170$	10.4761	+	18.9198i	0.803484	+	1.45108i
$171$	−5.36404	+	1.00271i	−0.410199	+	0.0766794i
$172$	1.72903	+	0.860953i	0.131837	+	0.0656470i
$173$	13.8747	−	1.93544i	1.05488	−	0.147149i	0.410502	−	0.911860i	$-0.365353\pi$
$173$	13.8747	−	1.93544i	1.05488	−	0.147149i	0.644374	+	0.764711i	$0.277118\pi$
$174$	−7.69521	+	27.0459i	−0.583373	+	2.05034i
$175$	1.34155	+	1.95842i	0.101412	+	0.148043i
$176$	−9.84221	+	6.74207i	−0.741884	+	0.508203i
$177$	−1.20888	+	5.13983i	−0.0908648	+	0.386333i
$178$	−37.7121	−	18.7784i	−2.82664	−	1.40750i
$179$			15.2384i			1.13897i	0.822001	+	0.569487i	$0.192858\pi$
$179$			15.2384i			1.13897i	−0.822001	+	0.569487i	$0.807142\pi$
$180$	−7.68670	+	11.2212i	−0.572932	+	0.836378i
$181$	4.10076	+	4.93835i	0.304807	+	0.367065i	0.899525	−	0.436869i	$-0.143913\pi$
$181$	4.10076	+	4.93835i	0.304807	+	0.367065i	−0.594718	+	0.803934i	$0.702736\pi$
$182$	−28.6770	−	6.74476i	−2.12568	−	0.499955i
$183$	4.05934	+	5.37544i	0.300075	+	0.397364i
$184$	8.33199	−	2.79260i	0.614242	−	0.205873i
$185$	−2.47805	+	13.2564i	−0.182190	+	0.974631i
$186$	12.2557	−	11.1725i	0.898631	−	0.819210i
$187$	4.20800	+	0.597757i	0.307720	+	0.0437123i
$188$	−26.0071	−	23.7086i	−1.89677	−	1.72913i
$189$	9.53651	−	7.20164i	0.693679	−	0.523842i
$190$	13.4475	−	16.1942i	0.975581	−	1.17485i
$191$	−5.44944	−	19.1528i	−0.394308	−	1.38585i	−0.864211	−	0.503130i	$-0.832182\pi$
$191$	−5.44944	−	19.1528i	−0.394308	−	1.38585i	0.469903	−	0.882718i	$-0.344289\pi$
$192$	7.89257	+	17.8750i	0.569597	+	1.29002i
$193$	5.60615	−	8.18397i	0.403539	−	0.589095i	−0.568855	−	0.822438i	$-0.692614\pi$
$193$	5.60615	−	8.18397i	0.403539	−	0.589095i	0.972395	+	0.233343i	$0.0749665\pi$
$194$	1.80778	+	0.252174i	0.129791	+	0.0181051i
$195$	−2.40282	+	12.8539i	−0.172069	+	0.920490i
$196$	11.8004	+	3.35750i	0.842884	+	0.239821i
$197$	−13.9264	−	11.5643i	−0.992211	−	0.823922i	−0.00782969	−	0.999969i	$-0.502492\pi$
$197$	−13.9264	−	11.5643i	−0.992211	−	0.823922i	−0.984382	+	0.176048i	$0.943669\pi$
$198$	1.18452	+	3.53413i	0.0841802	+	0.251160i
$199$	−8.77305	−	0.405602i	−0.621905	−	0.0287524i	−0.267063	−	0.963679i	$-0.586053\pi$
$199$	−8.77305	−	0.405602i	−0.621905	−	0.0287524i	−0.354841	+	0.934927i	$0.615465\pi$
$200$	0.835730	+	9.01897i	0.0590951	+	0.637737i
$201$	10.5583	+	4.66195i	0.744726	+	0.328828i
$202$	−21.4808	+	6.11180i	−1.51138	+	0.430025i
$203$	−1.63053	−	17.5962i	−0.114441	−	1.23501i
$204$	8.57331	−	25.3679i	0.600252	−	1.77611i
$205$	−1.02909	+	11.1056i	−0.0718745	+	0.775649i
$206$	−5.14543	−	27.5256i	−0.358499	−	1.91780i
$207$	−0.0675774	−	1.46168i	−0.00469695	−	0.101594i
$208$	−44.2713	−	40.3586i	−3.06966	−	2.79837i
$209$	−0.947135	−	4.02697i	−0.0655147	−	0.278552i
$210$	−3.29167	+	13.9953i	−0.227147	+	0.965770i
$211$	−0.0923227	+	1.99691i	−0.00635576	+	0.137473i	0.993387	+	0.114810i	$0.0366261\pi$
$211$	−0.0923227	+	1.99691i	−0.00635576	+	0.137473i	−0.999743	+	0.0226625i	$0.992786\pi$
$212$	52.6841	−	4.88190i	3.61836	−	0.335290i
$213$	8.56219	−	13.8284i	0.586672	−	0.947507i
$214$	25.4402	−	25.4402i	1.73906	−	1.73906i
$215$	−0.0346987	+	0.750522i	−0.00236643	+	0.0511852i
$216$	45.1598	−	6.29953i	3.07274	−	0.428629i
$217$	−4.64557	+	9.32956i	−0.315362	+	0.633332i
$218$	14.8847	+	33.7106i	1.00812	+	2.28317i
$219$	−8.64407	−	9.48209i	−0.584112	−	0.640740i
$220$	−8.76670	−	5.42811i	−0.591051	−	0.365963i
$221$	1.91592	+	21.2564i	0.128879	+	1.42986i
$222$	19.7963	−	12.2573i	1.32864	−	0.822659i
$223$	−10.5501	−	3.00176i	−0.706487	−	0.201013i	−0.0987051	−	0.995117i	$-0.531470\pi$
$223$	−10.5501	−	3.00176i	−0.706487	−	0.201013i	−0.607782	+	0.794104i	$0.707941\pi$
$224$	−21.8562	−	21.8562i	−1.46033	−	1.46033i
$225$	1.48253	+	0.277133i	0.0988353	+	0.0184755i
$226$	−0.932551	−	20.1708i	−0.0620324	−	1.34174i
$227$	0.176115	+	1.26252i	0.0116891	+	0.0837967i	0.995368	−	0.0961343i	$-0.0306478\pi$
$227$	0.176115	+	1.26252i	0.0116891	+	0.0837967i	−0.983679	+	0.179931i	$0.942413\pi$
$228$	−26.0353	+	1.20368i	−1.72423	+	0.0797158i
$229$	−1.34184	−	3.46369i	−0.0886713	−	0.228887i	0.881087	−	0.472954i	$-0.156812\pi$
$229$	−1.34184	−	3.46369i	−0.0886713	−	0.228887i	−0.969758	+	0.244067i	$0.921518\pi$
$230$	3.80252	+	4.17117i	0.250731	+	0.275039i
$231$	1.80509	+	2.17379i	0.118766	+	0.143025i
$232$	27.2353	−	61.6820i	1.78808	−	4.04962i
$233$	2.17635	−	0.729438i	0.142577	−	0.0477870i	−0.245603	−	0.969370i	$-0.578986\pi$
$233$	2.17635	−	0.729438i	0.142577	−	0.0477870i	0.388180	+	0.921583i	$0.373104\pi$
$234$	−15.9134	+	9.85315i	−1.04029	+	0.644121i
$235$	4.35023	−	12.9793i	0.283778	−	0.846678i
$236$	7.55235	−	19.4949i	0.491616	−	1.26901i
$237$	−5.14721	+	1.99404i	−0.334347	+	0.129527i
$238$	1.02490	+	23.4430i	0.0664346	+	1.51958i
$239$	4.18409	+	1.62092i	0.270646	+	0.104849i	0.492740	−	0.870176i	$-0.335995\pi$
$239$	4.18409	+	1.62092i	0.270646	+	0.104849i	−0.222094	+	0.975025i	$0.571289\pi$
$240$	−19.6964	+	21.6059i	−1.27140	+	1.39465i
$241$	−10.0441	−	0.464365i	−0.646994	−	0.0299124i	−0.279803	−	0.960058i	$-0.590269\pi$
$241$	−10.0441	−	0.464365i	−0.646994	−	0.0299124i	−0.367192	+	0.930145i	$0.619681\pi$
$242$	24.6404	−	9.54575i	1.58395	−	0.613624i
$243$	1.77075	−	12.6941i	0.113593	−	0.814325i
$244$	−12.9784	−	23.3007i	−0.830857	−	1.49167i
$245$	0.659323	+	4.72653i	0.0421226	+	0.301967i
$246$	15.3667	−	11.6044i	0.979744	−	0.739869i
$247$	18.5954	−	9.25940i	1.18320	−	0.589161i
$248$	−32.8074	+	22.4736i	−2.08327	+	1.42707i
$249$	14.6870	−	14.6870i	0.930753	−	0.930753i
$250$	−27.9942	+	15.5926i	−1.77051	+	0.986166i
$251$	−8.51669			−0.537569			−0.268784	−	0.963200i	$-0.586622\pi$
$251$	−8.51669			−0.537569			−0.268784	+	0.963200i	$0.586622\pi$
$252$	−12.8929	+	7.18129i	−0.812175	+	0.452379i
$253$	1.10453	−	0.102350i	0.0694413	−	0.00643469i
$254$	−3.00366	+	10.5568i	−0.188466	+	0.662390i
$255$	10.3739	−	0.935037i	0.649636	−	0.0585543i
$256$	−0.153857	−	0.540751i	−0.00961606	−	0.0337970i
$257$	−9.05026	−	23.3614i	−0.564540	−	1.45724i	−0.864175	−	0.503191i	$-0.832159\pi$
$257$	−9.05026	−	23.3614i	−0.564540	−	1.45724i	0.299636	−	0.954054i	$-0.403135\pi$
$258$	0.997955	−	0.828691i	0.0621300	−	0.0515921i
$259$	−8.81817	+	11.6771i	−0.547935	+	0.725583i
$260$	16.4544	−	49.0931i	1.02046	−	3.04463i
$261$	−8.63770	−	7.17266i	−0.534660	−	0.443976i
$262$	15.3497	−	3.61021i	0.948305	−	0.223039i
$263$	24.7716	+	18.7067i	1.52748	+	1.15350i	0.938461	+	0.345387i	$0.112252\pi$
$263$	24.7716	+	18.7067i	1.52748	+	1.15350i	0.589024	+	0.808116i	$0.299513\pi$
$264$	1.98102	+	10.5975i	0.121923	+	0.652231i
$265$	10.0147	+	17.9799i	0.615201	+	1.10450i
$266$	20.8933	−	9.22528i	1.28105	−	0.565638i
$267$	−15.6100	+	12.9624i	−0.955318	+	0.793286i
$268$	−38.8548	−	24.0579i	−2.37343	−	1.46957i
$269$	24.6790	+	5.80446i	1.50471	+	0.353904i	0.897634	−	0.440742i	$-0.145285\pi$
$269$	24.6790	+	5.80446i	1.50471	+	0.353904i	0.607073	+	0.794646i	$0.292343\pi$
$270$	15.4177	+	24.9005i	0.938294	+	1.51540i
$271$	8.85205	+	11.7220i	0.537723	+	0.712061i	0.983056	−	0.183304i	$-0.0586793\pi$
$271$	8.85205	+	11.7220i	0.537723	+	0.712061i	−0.445333	+	0.895365i	$0.646915\pi$
$272$	−21.3765	+	42.6612i	−1.29614	+	2.58671i
$273$	−8.55044	+	11.3226i	−0.517496	+	0.685276i
$274$	18.3761	+	1.70280i	1.11014	+	0.102870i
$275$	−0.157962	+	1.13239i	−0.00952546	+	0.0682858i
$276$	0.644826	−	6.95878i	0.0388140	−	0.418870i
$277$	−13.8156	+	24.8037i	−0.830099	+	1.49031i	0.0409747	+	0.999160i	$0.486954\pi$
$277$	−13.8156	+	24.8037i	−0.830099	+	1.49031i	−0.871074	+	0.491153i	$0.836576\pi$
$278$	48.1743	+	16.1464i	2.88930	+	0.968397i
$279$	2.10431	+	6.27840i	0.125982	+	0.375878i
$280$	12.4538	−	32.1471i	0.744260	−	1.92116i
$281$	−7.50346	−	0.695298i	−0.447619	−	0.0414780i	−0.133902	−	0.990995i	$-0.542751\pi$
$281$	−7.50346	−	0.695298i	−0.447619	−	0.0414780i	−0.313717	+	0.949517i	$0.601574\pi$
$282$	−21.6204	+	9.54632i	−1.28747	+	0.568475i
$283$	−2.10008	+	0.0970926i	−0.124837	+	0.00577156i	−0.108512	−	0.994095i	$-0.534608\pi$
$283$	−2.10008	+	0.0970926i	−0.124837	+	0.00577156i	−0.0163252	+	0.999867i	$0.505197\pi$
$284$	−41.1418	+	49.5452i	−2.44132	+	2.93996i
$285$	−4.51890	−	9.07518i	−0.267677	−	0.537567i
$286$	−8.01874	−	11.7059i	−0.474158	−	0.692185i
$287$	−6.37061	+	10.2889i	−0.376045	+	0.607334i
$288$	−19.6380			−1.15718
$289$	15.8826	−	6.06150i	0.934273	−	0.356559i
$290$	43.3088			2.54318
$291$	0.462788	−	0.747428i	0.0271291	−	0.0438150i
$292$	28.7112	+	41.9132i	1.68020	+	2.45278i
$293$	5.36148	+	10.7673i	0.313221	+	0.629032i	0.994702	−	0.102804i	$-0.0327814\pi$
$293$	5.36148	+	10.7673i	0.313221	+	0.629032i	−0.681481	+	0.731836i	$0.738664\pi$
$294$	5.26372	−	6.33886i	0.306986	−	0.369690i
$295$	8.12360	−	0.375577i	0.472974	−	0.0218669i
$296$	−51.0749	+	22.5518i	−2.96867	+	1.31080i
$297$	5.73124	+	0.531078i	0.332560	+	0.0308163i
$298$	−6.04160	+	15.5952i	−0.349980	+	0.903404i
$299$	1.77015	+	5.28140i	0.102370	+	0.305431i
$300$	6.82996	+	2.28917i	0.394328	+	0.132165i
$301$	−0.396682	+	0.712181i	−0.0228644	+	0.0410495i
$302$	4.88423	−	52.7093i	0.281056	−	3.03308i
$303$	−1.48605	+	10.6532i	−0.0853714	+	0.612008i
$304$	46.2460	+	4.28532i	2.65239	+	0.245780i
$305$	6.25212	−	8.27914i	0.357995	−	0.474062i
$306$	10.9923	+	10.0714i	0.628389	+	0.575745i
$307$	−16.8010	−	22.2482i	−0.958886	−	1.26977i	−0.962922	−	0.269779i	$-0.913049\pi$
$307$	−16.8010	−	22.2482i	−0.958886	−	1.26977i	0.00403622	−	0.999992i	$-0.498715\pi$
$308$	−5.88964	−	9.51209i	−0.335593	−	0.542001i
$309$	−13.1284	−	3.08778i	−0.746851	−	0.175658i
$310$	−21.7165	−	13.4463i	−1.23341	−	0.763697i
$311$	1.14483	−	0.950652i	0.0649172	−	0.0539065i	−0.605819	−	0.795602i	$-0.707155\pi$
$311$	1.14483	−	0.950652i	0.0649172	−	0.0539065i	0.670737	+	0.741696i	$0.265978\pi$
$312$	−49.5242	+	21.8671i	−2.80376	+	1.23798i
$313$	12.3777	+	22.2222i	0.699630	+	1.25608i	0.957091	+	0.289787i	$0.0935845\pi$
$313$	12.3777	+	22.2222i	0.699630	+	1.25608i	−0.257462	+	0.966289i	$0.582886\pi$
$314$	−9.11976	−	48.7864i	−0.514658	−	2.75318i
$315$	−4.58106	−	3.45946i	−0.258114	−	0.194918i
$316$	21.2759	−	5.00405i	1.19686	−	0.281500i
$317$	19.4479	+	16.1493i	1.09230	+	0.907035i	0.996092	−	0.0883261i	$-0.0281517\pi$
$317$	19.4479	+	16.1493i	1.09230	+	0.907035i	0.0962092	+	0.995361i	$0.469328\pi$
$318$	11.2921	−	33.6911i	0.633230	−	1.88930i
$319$	5.12929	−	6.79228i	0.287185	−	0.380294i
$320$	23.1531	−	19.2261i	1.29430	−	1.07477i
$321$	−6.25955	−	16.1578i	−0.349374	−	0.901839i
$322$	1.67596	+	5.89039i	0.0933976	+	0.328259i
$323$	−11.1166	−	12.2559i	−0.618542	−	0.681937i
$324$	4.26265	−	14.9817i	0.236814	−	0.832315i
$325$	−5.71686	+	0.529745i	−0.317114	+	0.0293850i
$326$	−5.61222	+	3.12599i	−0.310832	+	0.173132i
$327$	17.7482			0.981476
$328$	−40.3387	+	22.4685i	−2.22733	+	1.24062i
$329$	10.5026	−	10.5026i	0.579025	−	0.579025i
$330$	−5.71289	+	3.91342i	−0.314484	+	0.215427i
$331$	−19.3164	+	9.61842i	−1.06173	+	0.528676i	−0.889761	−	0.456427i	$-0.849129\pi$
$331$	−19.3164	+	9.61842i	−1.06173	+	0.528676i	−0.171964	+	0.985103i	$0.555011\pi$
$332$	−65.6304	+	49.5618i	−3.60194	+	2.72006i
$333$	1.28441	+	9.20763i	0.0703852	+	0.504575i
$334$	−15.4320	−	27.7058i	−0.844402	−	1.51599i
$335$	2.45592	−	17.6059i	0.134181	−	0.961912i
$336$	−29.5800	+	11.4594i	−1.61372	+	0.625159i
$337$	12.8494	+	0.594066i	0.699954	+	0.0323608i	0.393233	−	0.919439i	$-0.371356\pi$
$337$	12.8494	+	0.594066i	0.699954	+	0.0323608i	0.306721	+	0.951800i	$0.400768\pi$
$338$	24.7120	−	27.1078i	1.34416	−	1.47447i
$339$	−9.06842	−	3.51313i	−0.492529	−	0.190807i
$340$	−41.1932	−	2.00805i	−2.23401	−	0.108902i
$341$	−4.68083	+	1.81336i	−0.253481	+	0.0981990i
$342$	5.24190	−	13.5309i	0.283450	−	0.731668i
$343$	−6.40659	+	19.1147i	−0.345923	+	1.03209i
$344$	−2.64458	+	1.63745i	−0.142586	+	0.0882856i
$345$	2.57751	−	0.863893i	0.138768	−	0.0465104i
$346$	−15.0469	+	34.0779i	−0.808925	+	1.83204i
$347$	12.8502	+	15.4749i	0.689835	+	0.830736i	0.992485	−	0.122365i	$-0.0390479\pi$
$347$	12.8502	+	15.4749i	0.689835	+	0.830736i	−0.302650	+	0.953102i	$0.597871\pi$
$348$	−36.1262	−	39.6285i	−1.93657	−	2.12431i
$349$	6.04864	+	15.6133i	0.323776	+	0.835763i	0.995483	+	0.0949451i	$0.0302676\pi$
$349$	6.04864	+	15.6133i	0.323776	+	0.835763i	−0.671706	+	0.740818i	$0.734438\pi$
$350$	−6.30566	+	0.291528i	−0.337052	+	0.0155828i
$351$	3.99308	+	28.6255i	0.213135	+	1.52792i
$352$	−0.687550	−	14.8715i	−0.0366465	−	0.792652i
$353$	−9.99986	−	1.86930i	−0.532239	−	0.0994927i	−0.0892319	−	0.996011i	$-0.528441\pi$
$353$	−9.99986	−	1.86930i	−0.532239	−	0.0994927i	−0.443007	+	0.896518i	$0.646088\pi$
$354$	−9.92810	−	9.92810i	−0.527673	−	0.527673i
$355$	−24.0941	−	6.85536i	−1.27878	−	0.363845i
$356$	68.3066	−	42.2936i	3.62024	−	2.24156i
$357$	10.5281	+	4.10900i	0.557205	+	0.217472i
$358$	−34.4517	−	21.3316i	−1.82083	−	1.12741i
$359$	−22.5863	−	24.7760i	−1.19206	−	1.30763i	−0.940503	−	0.339785i	$-0.889646\pi$
$359$	−22.5863	−	24.7760i	−1.19206	−	1.30763i	−0.251557	−	0.967842i	$-0.580943\pi$
$360$	−8.84729	−	20.0372i	−0.466293	−	1.05605i
$361$	1.29040	−	2.59148i	0.0679160	−	0.136394i
$362$	−16.9053	+	2.35819i	−0.888523	+	0.123944i
$363$	0.587772	−	12.7133i	0.0308500	−	0.667276i
$364$	39.7250	−	39.7250i	2.08215	−	2.08215i
$365$	−10.4032	+	16.8018i	−0.544530	+	0.879446i
$366$	−17.8355	+	1.65270i	−0.932277	+	0.0863882i
$367$	−0.909980	+	19.6826i	−0.0475005	+	1.02742i	0.832969	+	0.553319i	$0.186639\pi$
$367$	−0.909980	+	19.6826i	−0.0475005	+	1.02742i	−0.880470	+	0.474102i	$0.842773\pi$
$368$	−2.85126	+	12.1228i	−0.148632	+	0.631945i
$369$	1.76031	+	7.48437i	0.0916379	+	0.389621i
$370$	−26.5018	−	24.1596i	−1.37776	−	1.25600i
$371$	1.03131	+	22.3069i	0.0535430	+	1.15812i
$372$	5.81123	+	31.0873i	0.301298	+	1.61180i
$373$	0.746237	−	8.05318i	0.0386387	−	0.416978i	−0.954343	−	0.298712i	$-0.903443\pi$
$373$	0.746237	−	8.05318i	0.0386387	−	0.416978i	0.992982	−	0.118266i	$-0.0377335\pi$
$374$	−7.24203	+	8.67686i	−0.374476	+	0.448670i
$375$	1.42399	+	15.3673i	0.0735344	+	0.793563i
$376$	54.5088	−	15.5091i	2.81108	−	0.799820i
$377$	39.0984	+	17.2636i	2.01367	+	0.889122i
$378$	2.93205	+	31.6418i	0.150808	+	1.62748i
$379$	18.1807	+	0.840545i	0.933880	+	0.0431759i	0.507767	−	0.861494i	$-0.330471\pi$
$379$	18.1807	+	0.840545i	0.933880	+	0.0431759i	0.426113	+	0.904670i	$0.359883\pi$
$380$	12.7567	+	38.0609i	0.654406	+	1.95248i
$381$	4.06686	+	3.37708i	0.208351	+	0.173013i
$382$	50.9299	+	14.4908i	2.60580	+	0.741414i
$383$	1.97210	−	10.5498i	0.100770	−	0.539070i	−0.894912	−	0.446242i	$-0.852762\pi$
$383$	1.97210	−	10.5498i	0.100770	−	0.539070i	0.995682	−	0.0928283i	$-0.0295908\pi$
$384$	−14.8237	−	2.06781i	−0.756467	−	0.105523i
$385$	2.45939	−	3.59026i	0.125342	−	0.182977i
$386$	10.6549	+	24.1310i	0.542319	+	1.22823i
$387$	0.141740	+	0.498163i	0.00720503	+	0.0253230i
$388$	−2.22372	+	2.67793i	−0.112892	+	0.135951i
$389$	1.97348	−	1.49031i	0.100060	−	0.0755615i	−0.551419	−	0.834228i	$-0.685914\pi$
$389$	1.97348	−	1.49031i	0.100060	−	0.0755615i	0.651479	+	0.758667i	$0.274149\pi$
$390$	−25.6972	−	23.4261i	−1.30123	−	1.18622i
$391$	3.66662	−	2.49820i	0.185429	−	0.126340i
$392$	−14.6008	+	13.3104i	−0.737451	+	0.672276i
$393$	1.39549	−	7.46521i	0.0703931	−	0.376570i
$394$	45.6399	−	15.2970i	2.29931	−	0.770650i
$395$	5.12344	+	6.78453i	0.257788	+	0.341367i
$396$	−6.91930	−	1.62741i	−0.347708	−	0.0817802i
$397$	−15.3287	−	18.4597i	−0.769327	−	0.926465i	0.229576	−	0.973291i	$-0.426266\pi$
$397$	−15.3287	−	18.4597i	−0.769327	−	0.926465i	−0.998903	+	0.0468253i	$0.985090\pi$
$398$	13.1980	−	19.2667i	0.661556	−	0.965752i
$399$		−	11.0000i		−	0.550689i
$400$	−11.4906	−	5.72166i	−0.574532	−	0.286083i
$401$	−6.32184	+	26.8788i	−0.315698	+	1.34226i	0.547250	+	0.836969i	$0.315675\pi$
$401$	−6.32184	+	26.8788i	−0.315698	+	1.34226i	−0.862947	+	0.505294i	$0.831384\pi$
$402$	−25.3200	+	17.3446i	−1.26285	+	0.865071i
$403$	−14.2453	−	20.7956i	−0.709610	−	1.03590i
$404$	11.6553	−	40.9641i	0.579872	−	2.03804i
$405$	6.00077	−	0.837071i	0.298181	−	0.0415944i
$406$	42.0647	+	20.9458i	2.08764	+	1.03952i
$407$	−6.92778	+	1.29503i	−0.343397	+	0.0641921i
$408$	27.4649	+	33.2441i	1.35972	+	1.64583i
$409$	−37.1048	−	6.93610i	−1.83472	−	0.342968i	−0.851350	−	0.524598i	$-0.824215\pi$
$409$	−37.1048	−	6.93610i	−1.83472	−	0.342968i	−0.983367	+	0.181630i	$0.941863\pi$
$410$	−23.6675	−	17.8728i	−1.16885	−	0.882677i
$411$	4.32510	−	7.76505i	0.213342	−	0.383022i
$412$	49.7949	+	19.2906i	2.45322	+	0.950382i
$413$	8.07189	+	3.56409i	0.397192	+	0.175377i
$414$	3.39922	+	1.89335i	0.167063	+	0.0930533i
$415$	−27.9476	−	15.5667i	−1.37189	−	0.764139i
$416$	71.9029	−	20.4581i	3.52533	−	1.00304i
$417$	16.4857	−	18.0839i	0.807308	−	0.885575i
$418$	10.4302	+	3.49585i	0.510158	+	0.170988i
$419$	−3.07551	+	0.723352i	−0.150248	+	0.0353381i	−0.303392	−	0.952866i	$-0.598119\pi$
$419$	−3.07551	+	0.723352i	−0.150248	+	0.0353381i	0.153144	+	0.988204i	$0.451060\pi$
$420$	−19.3871	−	19.3871i	−0.945996	−	0.945996i
$421$	−2.82643	+	2.57663i	−0.137752	+	0.125577i	−0.739639	−	0.673004i	$-0.765004\pi$
$421$	−2.82643	+	2.57663i	−0.137752	+	0.125577i	0.601887	+	0.798581i	$0.294416\pi$
$422$	−4.38546	−	3.00411i	−0.213481	−	0.146238i
$423$		−	9.43666i		−	0.458826i
$424$	−37.9790	+	76.2721i	−1.84442	+	3.70410i
$425$	1.64131	+	4.26847i	0.0796153	+	0.207051i
$426$	19.2781	+	38.7155i	0.934025	+	1.87577i
$427$	10.0766	−	5.01756i	0.487642	−	0.242817i
$428$	15.7084	+	66.7879i	0.759292	+	3.22831i
$429$	−6.71744	+	1.25571i	−0.324321	+	0.0606261i
$430$	−1.64824	−	1.12907i	−0.0794852	−	0.0544486i
$431$	−13.1695	−	1.83707i	−0.634352	−	0.0884883i	−0.186296	−	0.982494i	$-0.559648\pi$
$431$	−13.1695	−	1.83707i	−0.634352	−	0.0884883i	−0.448056	+	0.894005i	$0.647884\pi$
$432$	−26.1013	+	59.1138i	−1.25580	+	2.84411i
$433$	1.03577	+	1.67282i	0.0497758	+	0.0803907i	0.874154	−	0.485648i	$-0.161416\pi$
$433$	1.03577	+	1.67282i	0.0497758	+	0.0803907i	−0.824379	+	0.566039i	$0.808475\pi$
$434$	−14.5895	−	23.5629i	−0.700321	−	1.13106i
$435$	8.42524	−	19.0814i	0.403959	−	0.914881i
$436$	−69.6005	−	9.70886i	−3.33326	−	0.464970i
$437$	−3.56269	−	2.44050i	−0.170427	−	0.116745i
$438$	33.5380	−	6.26933i	1.60251	−	0.299560i
$439$	3.24958	+	13.8164i	0.155094	+	0.659420i	0.993447	+	0.114292i	$0.0364600\pi$
$439$	3.24958	+	13.8164i	0.155094	+	0.659420i	−0.838353	+	0.545128i	$0.816481\pi$
$440$	14.8640	−	7.40139i	0.708614	−	0.352848i
$441$	1.46641	+	2.94495i	0.0698290	+	0.140235i
$442$	−50.7394	−	25.4243i	−2.41343	−	1.20931i
$443$	1.63004	−	3.27356i	0.0774455	−	0.155531i	−0.853056	−	0.521819i	$-0.825254\pi$
$443$	1.63004	−	3.27356i	0.0774455	−	0.155531i	0.930502	+	0.366287i	$0.119371\pi$
$444$			44.4025i			2.10725i
$445$	25.7818	+	17.6609i	1.22217	+	0.837208i
$446$	21.5551	−	19.6501i	1.02067	−	0.930460i
$447$	5.69572	+	5.69572i	0.269399	+	0.269399i
$448$	31.7864	−	7.47610i	1.50177	−	0.353213i
$449$	−6.56990	−	2.20201i	−0.310053	−	0.103919i	0.158489	−	0.987361i	$-0.449338\pi$
$449$	−6.56990	−	2.20201i	−0.310053	−	0.103919i	−0.468541	+	0.883442i	$0.655220\pi$
$450$	−2.70188	+	2.96382i	−0.127368	+	0.139716i
$451$	−5.60613	+	1.59508i	−0.263982	+	0.0751094i
$452$	33.6406	+	18.7377i	1.58232	+	0.881346i
$453$	−22.2729	−	12.4059i	−1.04647	−	0.582882i
$454$	−3.10090	−	1.36918i	−0.145533	−	0.0642590i
$455$	20.3771	+	7.89412i	0.955292	+	0.370082i
$456$	20.4234	−	36.6671i	0.956415	−	1.71709i
$457$	−1.21732	−	0.919279i	−0.0569439	−	0.0430021i	0.573779	−	0.819010i	$-0.305477\pi$
$457$	−1.21732	−	0.919279i	−0.0569439	−	0.0430021i	−0.630723	+	0.776008i	$0.717242\pi$
$458$	9.70924	+	1.81497i	0.453683	+	0.0848081i
$459$	21.0835	−	9.24614i	0.984093	−	0.431573i
$460$	−10.5804	+	1.97782i	−0.493315	+	0.0922165i
$461$	10.5755	+	5.26596i	0.492549	+	0.245260i	0.674812	−	0.737990i	$-0.264225\pi$
$461$	10.5755	+	5.26596i	0.492549	+	0.245260i	−0.182263	+	0.983250i	$0.558342\pi$
$462$	−7.44146	+	1.03804i	−0.346208	+	0.0482939i
$463$	−3.56673	+	12.5358i	−0.165760	+	0.582587i	0.833775	+	0.552104i	$0.186175\pi$
$463$	−3.56673	+	12.5358i	−0.165760	+	0.582587i	−0.999535	+	0.0304825i	$0.990296\pi$
$464$	54.0029	+	78.8345i	2.50702	+	3.65980i
$465$	−10.1490	+	6.95221i	−0.470647	+	0.322401i
$466$	−1.39742	+	5.94148i	−0.0647344	+	0.275234i
$467$	−22.4165	−	11.1621i	−1.03731	−	0.516520i	−0.155359	−	0.987858i	$-0.549654\pi$
$467$	−22.4165	−	11.1621i	−1.03731	−	0.516520i	−0.881953	+	0.471338i	$0.843771\pi$
$468$		−	35.6933i		−	1.64992i
$469$	10.9002	−	15.9124i	0.503326	−	0.734765i
$470$	23.2545	+	28.0044i	1.07265	+	1.29175i
$471$	−23.2689	−	5.47279i	−1.07217	−	0.252173i
$472$	20.2892	+	26.8673i	0.933888	+	1.23667i
$473$	−0.372286	+	0.124778i	−0.0171177	+	0.00573728i
$474$	2.69714	−	14.4284i	0.123884	−	0.662718i
$475$	3.28944	−	2.99872i	0.150930	−	0.137591i
$476$	−39.0387	−	21.8729i	−1.78934	−	1.00254i
$477$	10.4848	+	9.55818i	0.480067	+	0.437639i
$478$	−9.52177	+	7.19051i	−0.435516	+	0.328886i
$479$	20.4760	−	24.6584i	0.935574	−	1.12667i	−0.0561682	−	0.998421i	$-0.517888\pi$
$479$	20.4760	−	24.6584i	0.935574	−	1.12667i	0.991742	−	0.128248i	$-0.0409352\pi$
$480$	−9.98428	−	35.0911i	−0.455718	−	1.60168i
$481$	−14.2949	−	32.3749i	−0.651791	−	1.47617i
$482$	15.1101	−	22.0580i	0.688245	−	1.00471i
$483$	2.92128	+	0.407501i	0.132923	+	0.0185419i
$484$	−9.25960	+	49.5345i	−0.420891	+	2.25157i
$485$	−1.30229	−	0.370533i	−0.0591339	−	0.0168251i
$486$	26.2205	+	21.7732i	1.18939	+	0.987654i
$487$	−3.38432	−	10.0974i	−0.153358	−	0.457559i	0.843467	−	0.537181i	$-0.180511\pi$
$487$	−3.38432	−	10.0974i	−0.153358	−	0.457559i	−0.996825	+	0.0796225i	$0.974629\pi$
$488$	42.9051	+	1.98362i	1.94222	+	0.0897944i
$489$	0.285479	+	3.08081i	0.0129098	+	0.139319i
$490$	−11.6089	−	5.12583i	−0.524437	−	0.231561i
$491$	9.15985	−	2.60620i	0.413378	−	0.117616i	−0.0605805	−	0.998163i	$-0.519295\pi$
$491$	9.15985	−	2.60620i	0.413378	−	0.117616i	0.473959	+	0.880547i	$0.342825\pi$
$492$	3.38824	+	36.5650i	0.152754	+	1.64848i
$493$	4.78794	−	33.7054i	0.215638	−	1.51802i
$494$	−5.09678	+	55.0031i	−0.229315	+	2.47470i
$495$	−0.508052	−	2.71784i	−0.0228352	−	0.122158i
$496$	−2.60276	−	56.2968i	−0.116867	−	2.52780i
$497$	−20.0865	−	18.3112i	−0.901001	−	0.821371i
$498$	12.6454	+	53.7648i	0.566652	+	2.40926i
$499$	1.48094	−	6.29658i	0.0662960	−	0.281874i	−0.930033	−	0.367475i	$-0.880222\pi$
$499$	1.48094	−	6.29658i	0.0662960	−	0.281874i	0.996329	+	0.0856015i	$0.0272812\pi$
$500$	2.82217	−	61.0427i	0.126211	−	2.72991i
$501$	−15.2090	+	1.40932i	−0.679486	+	0.0629637i
$502$	11.9221	−	19.2549i	0.532111	−	0.859388i
$503$	11.9578	−	11.9578i	0.533171	−	0.533171i	−0.388344	−	0.921515i	$-0.626953\pi$
$503$	11.9578	−	11.9578i	0.533171	−	0.533171i	0.921515	+	0.388344i	$0.126953\pi$
$504$	1.09759	−	23.7405i	0.0488905	−	1.05749i
$505$	16.4078	−	2.28879i	0.730136	−	0.101850i
$506$	−1.31479	+	2.64045i	−0.0584494	+	0.117382i
$507$	−7.13593	−	16.1613i	−0.316918	−	0.717750i
$508$	−14.1011	−	15.4681i	−0.625633	−	0.686287i
$509$	−5.22173	−	3.23316i	−0.231449	−	0.143307i	0.405808	−	0.913958i	$-0.366990\pi$
$509$	−5.22173	−	3.23316i	−0.231449	−	0.143307i	−0.637257	+	0.770651i	$0.719931\pi$
$510$	−12.4079	+	24.7626i	−0.549432	+	1.09651i
$511$	−18.2304	+	11.2878i	−0.806464	+	0.499342i
$512$	−21.0431	−	5.98728i	−0.929983	−	0.264603i
$513$	−15.8446	−	15.8446i	−0.699556	−	0.699556i
$514$	65.4855	+	12.2414i	2.88844	+	0.539944i
$515$	0.959319	+	20.7498i	0.0422727	+	0.914344i
$516$	0.341760	+	2.44999i	0.0150451	+	0.107855i
$517$	7.14619	−	0.330388i	0.314289	−	0.0145305i
$518$	−14.0560	−	36.2828i	−0.617587	−	1.59418i
$519$	12.0871	+	13.2590i	0.530566	+	0.582004i
$520$	53.2675	+	64.1477i	2.33594	+	2.81306i
$521$	−9.85486	+	22.3191i	−0.431749	+	0.977819i	0.557311	+	0.830304i	$0.311833\pi$
$521$	−9.85486	+	22.3191i	−0.431749	+	0.977819i	−0.989060	+	0.147515i	$0.952873\pi$
$522$	28.3078	−	9.48781i	1.23900	−	0.415270i
$523$	16.9570	−	10.4993i	0.741476	−	0.459103i	−0.103010	−	0.994680i	$-0.532847\pi$
$523$	16.9570	−	10.4993i	0.741476	−	0.459103i	0.844486	+	0.535578i	$0.179906\pi$
$524$	−9.55622	+	28.5119i	−0.417466	+	1.24555i
$525$	−1.09825	+	2.83491i	−0.0479316	+	0.123726i
$526$	−76.9695	+	29.8182i	−3.35603	+	1.30013i
$527$	−12.8655	+	15.4145i	−0.560430	+	0.671466i
$528$	−14.2471	−	5.51935i	−0.620025	−	0.240199i
$529$	−14.7149	+	16.1415i	−0.639778	+	0.701803i
$530$	−54.6689	−	2.52750i	−2.37467	−	0.109787i
$531$	5.22752	−	2.02515i	0.226855	−	0.0878842i
$532$	−6.01738	+	43.1372i	−0.260887	+	1.87024i
$533$	−14.2421	−	25.5695i	−0.616895	−	1.10754i
$534$	−7.45419	−	53.4373i	−0.322574	−	2.31246i
$535$	−21.2975	+	16.0831i	−0.920772	+	0.695335i
$536$	65.8786	−	32.8037i	2.84552	−	1.41690i
$537$	−16.1006	+	11.0292i	−0.694794	+	0.475945i
$538$	−47.6700	+	47.6700i	−2.05520	+	2.05520i
$539$	−2.17881	+	1.21359i	−0.0938478	+	0.0522729i
$540$	−55.8511			−2.40345
$541$	0.587107	−	0.327016i	0.0252417	−	0.0140595i	−0.473933	−	0.880561i	$-0.657166\pi$
$541$	0.587107	−	0.327016i	0.0252417	−	0.0140595i	0.499175	+	0.866501i	$0.333637\pi$
$542$	−38.8932	+	3.60399i	−1.67061	+	0.154804i
$543$	−2.24975	+	7.90704i	−0.0965459	+	0.339324i
$544$	−31.2198	−	50.7055i	−1.33854	−	2.17398i
$545$	−7.48068	−	26.2919i	−0.320437	−	1.12622i
$546$	−13.6293	−	35.1812i	−0.583280	−	1.50562i
$547$	24.5051	−	20.3488i	1.04776	−	0.870051i	0.0560373	−	0.998429i	$-0.482153\pi$
$547$	24.5051	−	20.3488i	1.04776	−	0.870051i	0.991725	+	0.128378i	$0.0409770\pi$
$548$	−21.2089	+	28.0851i	−0.906000	+	1.19974i
$549$	2.27281	−	6.78114i	0.0970011	−	0.289412i
$550$	−2.33904	−	1.94231i	−0.0997369	−	0.0828204i
$551$	−32.2554	+	7.58640i	−1.37413	+	0.323191i
$552$	8.98110	+	6.78221i	0.382261	+	0.288670i
$553$	1.69501	+	9.06753i	0.0720794	+	0.385590i
$554$	−36.7376	−	65.9566i	−1.56083	−	2.80223i
$555$	−15.8000	+	6.97640i	−0.670675	+	0.296132i
$556$	−74.5422	+	61.8991i	−3.16129	+	2.62511i
$557$	19.5823	+	12.1249i	0.829731	+	0.513747i	0.874372	−	0.485256i	$-0.161273\pi$
$557$	19.5823	+	12.1249i	0.829731	+	0.513747i	−0.0446418	+	0.999003i	$0.514215\pi$
$558$	−17.1402	−	4.03134i	−0.725602	−	0.170660i
$559$	−1.03793	−	1.67632i	−0.0438999	−	0.0709008i
$560$	29.4434	+	38.9894i	1.24421	+	1.64760i
$561$	2.41407	+	4.87874i	0.101922	+	0.205981i
$562$	12.0757	−	15.9908i	0.509383	−	0.674532i
$563$	34.4576	+	3.19296i	1.45221	+	0.134567i	0.789244	−	0.614079i	$-0.210473\pi$
$563$	34.4576	+	3.19296i	1.45221	+	0.134567i	0.662969	+	0.748647i	$0.269296\pi$
$564$	6.22679	−	44.6384i	0.262195	−	1.87962i
$565$	−1.38204	+	14.9146i	−0.0581428	+	0.627461i
$566$	2.72030	−	4.88387i	0.114343	−	0.205284i
$567$	6.23323	+	2.08917i	0.261771	+	0.0877369i
$568$	−32.9576	−	98.3322i	−1.38287	−	4.12593i
$569$	−4.03702	+	10.4208i	−0.169241	+	0.436861i	−0.991148	−	0.132760i	$-0.957616\pi$
$569$	−4.03702	+	10.4208i	−0.169241	+	0.436861i	0.821907	+	0.569621i	$0.192910\pi$
$570$	26.8434	+	2.48741i	1.12435	+	0.104186i
$571$	16.4511	−	7.26389i	0.688459	−	0.303984i	−0.0300038	−	0.999550i	$-0.509552\pi$
$571$	16.4511	−	7.26389i	0.688459	−	0.303984i	0.718463	+	0.695565i	$0.244846\pi$
$572$	27.0298	−	1.24966i	1.13017	−	0.0522510i
$573$	16.2923	−	19.6201i	0.680622	−	0.819642i
$574$	−14.3436	−	28.8059i	−0.598692	−	1.20234i
$575$	0.674513	+	0.984667i	0.0281291	+	0.0410635i
$576$	10.9215	−	17.6389i	0.455064	−	0.734954i
$577$	47.7767			1.98897			0.994486	−	0.104874i	$-0.0334439\pi$
$577$	47.7767			1.98897			0.994486	+	0.104874i	$0.0334439\pi$
$578$	−8.52930	+	44.3934i	−0.354772	+	1.84652i
$579$	12.7046			0.527986
$580$	−43.4783	+	70.2198i	−1.80534	+	2.91572i
$581$	−19.6161	−	28.6360i	−0.813815	−	1.18802i
$582$	1.04198	+	2.09258i	0.0431916	+	0.0867403i
$583$	−6.87113	+	8.27458i	−0.284573	+	0.342698i
$584$	−81.7263	+	3.77844i	−3.38186	+	0.156353i
$585$	12.7010	−	5.60803i	0.525121	−	0.231864i
$586$	−31.8485	−	2.95119i	−1.31565	−	0.121913i
$587$	9.18938	−	23.7205i	0.379286	−	0.979050i	−0.604000	−	0.796984i	$-0.706427\pi$
$587$	9.18938	−	23.7205i	0.379286	−	0.979050i	0.983286	−	0.182066i	$-0.0582785\pi$
$588$	4.99335	+	14.8981i	0.205922	+	0.614389i
$589$	18.5293	+	6.21040i	0.763487	+	0.255895i
$590$	−10.5227	+	18.8919i	−0.433214	+	0.777769i
$591$	2.13907	−	23.0843i	0.0879897	−	0.949560i
$592$	10.9316	−	78.3660i	0.449286	−	3.22082i
$593$	−7.26767	−	0.673449i	−0.298447	−	0.0276552i	−0.0579974	−	0.998317i	$-0.518472\pi$
$593$	−7.26767	−	0.673449i	−0.298447	−	0.0276552i	−0.240450	+	0.970662i	$0.577295\pi$
$594$	−9.22359	+	12.2140i	−0.378448	+	0.501147i
$595$	1.64953	−	17.3280i	0.0676243	−	0.710380i
$596$	−19.2204	−	25.4519i	−0.787297	−	1.04255i
$597$	−5.92116	−	9.56301i	−0.242337	−	0.391388i
$598$	−14.4184	−	3.39117i	−0.589611	−	0.138675i
$599$	−11.5032	−	7.12248i	−0.470008	−	0.291017i	0.270919	−	0.962602i	$-0.412672\pi$
$599$	−11.5032	−	7.12248i	−0.470008	−	0.291017i	−0.740927	+	0.671585i	$0.765614\pi$
$600$	−8.92440	+	7.41072i	−0.364337	+	0.302542i
$601$	17.8257	−	7.87084i	0.727127	−	0.321058i	−0.00708783	−	0.999975i	$-0.502256\pi$
$601$	17.8257	−	7.87084i	0.727127	−	0.321058i	0.734215	+	0.678917i	$0.237550\pi$
$602$	−1.05483	−	1.89379i	−0.0429918	−	0.0771850i
$603$	−2.25173	−	12.0457i	−0.0916976	−	0.490539i
$604$	80.5581	+	60.8347i	3.27786	+	2.47533i
$605$	−19.0810	+	4.48782i	−0.775755	+	0.182456i
$606$	−22.0049	−	18.2726i	−0.893886	−	0.742274i
$607$	4.21521	−	12.5765i	0.171090	−	0.510464i	−0.827617	−	0.561293i	$-0.810304\pi$
$607$	4.21521	−	12.5765i	0.171090	−	0.510464i	0.998707	+	0.0508294i	$0.0161865\pi$
$608$	−34.9271	+	46.2510i	−1.41648	+	1.87572i
$609$	17.4117	−	14.4585i	0.705557	−	0.585887i
$610$	9.96578	+	25.7247i	0.403503	+	1.04156i
$611$	9.83075	+	34.5515i	0.397710	+	1.39780i
$612$	−27.3649	+	7.71183i	−1.10616	+	0.311732i
$613$	−6.70277	+	23.5578i	−0.270722	+	0.951490i	0.700567	+	0.713587i	$0.252931\pi$
$613$	−6.70277	+	23.5578i	−0.270722	+	0.951490i	−0.971289	+	0.237903i	$0.923540\pi$
$614$	73.8187	−	6.84031i	2.97908	−	0.276052i
$615$	−12.4788	+	6.95065i	−0.503194	+	0.280277i
$616$	18.0166			0.725910
$617$	−19.3090	+	10.7550i	−0.777349	+	0.432981i	−0.824468	−	0.565908i	$-0.808526\pi$
$617$	−19.3090	+	10.7550i	−0.777349	+	0.432981i	0.0471186	+	0.998889i	$0.484996\pi$
$618$	25.3589	−	25.3589i	1.02009	−	1.02009i
$619$	20.4071	−	13.9792i	0.820230	−	0.561871i	−0.0802466	−	0.996775i	$-0.525571\pi$
$619$	20.4071	−	13.9792i	0.820230	−	0.561871i	0.900477	+	0.434904i	$0.143218\pi$
$620$	43.6029	−	21.7117i	1.75114	−	0.871962i
$621$	4.79483	−	3.62088i	0.192410	−	0.145301i
$622$	0.546684	+	3.91905i	0.0219200	+	0.157140i
$623$	16.4997	+	29.6226i	0.661047	+	1.18681i
$624$	10.5997	−	75.9868i	0.424328	−	3.04191i
$625$	16.9934	−	6.58327i	0.679735	−	0.263331i
$626$	−67.5680	−	3.12386i	−2.70056	−	0.124854i
$627$	3.56931	−	3.91535i	0.142545	−	0.156364i
$628$	88.2565	+	34.1907i	3.52182	+	1.36436i
$629$	−21.7322	+	17.9543i	−0.866521	+	0.715885i
$630$	14.2341	−	5.51433i	0.567101	−	0.219696i
$631$	−15.2551	+	39.3780i	−0.607296	+	1.56761i	0.201479	+	0.979493i	$0.435425\pi$
$631$	−15.2551	+	39.3780i	−0.607296	+	1.56761i	−0.808775	+	0.588119i	$0.799869\pi$
$632$	−11.1853	+	33.3725i	−0.444929	+	1.32749i
$633$	−2.17672	+	1.34777i	−0.0865168	+	0.0535689i
$634$	−63.7352	+	21.3619i	−2.53125	+	0.848389i
$635$	3.28861	−	7.44799i	0.130504	−	0.295564i
$636$	43.2896	+	52.1316i	1.71654	+	2.06715i
$637$	−8.43706	−	9.25501i	−0.334288	−	0.366697i
$638$	8.17601	+	21.1047i	0.323691	+	0.835544i
$639$	−17.2504	+	0.797533i	−0.682414	+	0.0315499i
$640$	3.18481	+	22.8311i	0.125890	+	0.902479i
$641$	0.264471	+	5.72043i	0.0104460	+	0.225943i	0.997747	+	0.0670845i	$0.0213697\pi$
$641$	0.264471	+	5.72043i	0.0104460	+	0.225943i	−0.987301	+	0.158859i	$0.949219\pi$
$642$	45.2926	+	8.46666i	1.78756	+	0.334153i
$643$	2.30577	+	2.30577i	0.0909307	+	0.0909307i	0.751109	−	0.660178i	$-0.229519\pi$
$643$	2.30577	+	2.30577i	0.0909307	+	0.0909307i	−0.660178	+	0.751109i	$0.729519\pi$
$644$	−11.2330	−	3.19608i	−0.442644	−	0.125943i
$645$	−0.818102	+	0.506547i	−0.0322127	+	0.0199453i
$646$	43.2703	−	7.97632i	1.70245	−	0.313824i
$647$	37.1561	+	23.0061i	1.46076	+	0.904463i	0.999855	+	0.0170125i	$0.00541552\pi$
$647$	37.1561	+	23.0061i	1.46076	+	0.904463i	0.460903	+	0.887451i	$0.347526\pi$
$648$	16.8988	+	18.5371i	0.663846	+	0.728205i
$649$	1.71663	+	3.88779i	0.0673836	+	0.152609i
$650$	6.80510	−	13.6665i	0.266918	−	0.536044i
$651$	−13.2198	+	1.84408i	−0.518124	+	0.0722753i
$652$	0.565785	−	12.2377i	0.0221578	−	0.479267i
$653$	7.67471	−	7.67471i	0.300335	−	0.300335i	−0.540810	−	0.841145i	$-0.681882\pi$
$653$	7.67471	−	7.67471i	0.300335	−	0.300335i	0.841145	+	0.540810i	$0.181882\pi$
$654$	−24.8449	+	40.1258i	−0.971511	+	1.56904i
$655$	−11.6470	+	1.07926i	−0.455087	+	0.0421700i
$656$	3.02213	−	65.3677i	0.117994	−	2.55218i
$657$	−3.11900	+	13.2612i	−0.121684	+	0.517368i
$658$	9.04259	+	38.4467i	0.352517	+	1.49881i
$659$	−25.6364	−	23.3706i	−0.998651	−	0.910391i	−0.00267399	−	0.999996i	$-0.500851\pi$
$659$	−25.6364	−	23.3706i	−0.998651	−	0.910391i	−0.995977	+	0.0896054i	$0.971439\pi$
$660$	−0.609878	−	13.1915i	−0.0237395	−	0.513477i
$661$	−0.880465	−	4.71007i	−0.0342461	−	0.183201i	0.961573	−	0.274550i	$-0.0885290\pi$
$661$	−0.880465	−	4.71007i	−0.0342461	−	0.183201i	−0.995819	+	0.0913497i	$0.970882\pi$
$662$	5.29441	−	57.1358i	0.205773	−	2.22064i
$663$	−21.0724	+	17.4092i	−0.818385	+	0.676117i
$664$	−12.2200	−	131.875i	−0.474230	−	5.11776i
$665$	−16.2952	+	4.63640i	−0.631902	+	0.179792i
$666$	−22.6150	−	9.98550i	−0.876313	−	0.386930i
$667$	−0.819806	−	8.84712i	−0.0317430	−	0.342562i
$668$	60.4138	+	2.79310i	2.33748	+	0.108068i
$669$	−4.46430	−	13.3197i	−0.172600	−	0.514968i
$670$	36.3662	+	30.1981i	1.40495	+	1.16666i
$671$	5.21479	+	1.48374i	0.201315	+	0.0572790i
$672$	7.27389	−	38.9119i	0.280596	−	1.50106i
$673$	37.4206	+	5.21995i	1.44246	+	0.201214i	0.815915	−	0.578172i	$-0.196234\pi$
$673$	37.4206	+	5.21995i	1.44246	+	0.201214i	0.626544	+	0.779386i	$0.284469\pi$
$674$	−19.3305	+	28.2190i	−0.744581	+	1.08695i
$675$	2.50152	+	5.66540i	0.0962835	+	0.218061i
$676$	19.1432	+	67.2813i	0.736276	+	2.58774i
$677$	13.8707	−	16.7039i	0.533096	−	0.641983i	−0.432622	−	0.901575i	$-0.642412\pi$
$677$	13.8707	−	16.7039i	0.533096	−	0.641983i	0.965718	+	0.259592i	$0.0835881\pi$
$678$	20.6371	−	15.5844i	0.792563	−	0.598516i
$679$	−1.08568	−	0.989726i	−0.0416645	−	0.0379822i
$680$	37.6711	−	54.6981i	1.44462	−	2.09758i
$681$	−1.20649	+	1.09986i	−0.0462329	+	0.0421469i
$682$	2.45275	−	13.1211i	0.0939207	−	0.502431i
$683$	38.8826	−	13.0321i	1.48780	−	0.498661i	0.546859	−	0.837225i	$-0.315823\pi$
$683$	38.8826	−	13.0321i	1.48780	−	0.498661i	0.940944	+	0.338564i	$0.109941\pi$
$684$	16.6763	+	22.0830i	0.637633	+	0.844363i
$685$	−13.3260	−	3.13425i	−0.509161	−	0.119754i
$686$	−34.2469	−	41.2420i	−1.30755	−	1.57463i
$687$	2.68848	−	3.92470i	0.102572	−	0.149737i
$688$		−	4.40814i		−	0.168059i
$689$	−48.3466	−	24.0738i	−1.84186	−	0.917137i
$690$	−1.65501	+	7.03666i	−0.0630051	+	0.267881i
$691$	10.8436	−	7.42806i	0.412511	−	0.282577i	−0.340934	−	0.940087i	$-0.610743\pi$
$691$	10.8436	−	7.42806i	0.412511	−	0.282577i	0.753445	+	0.657510i	$0.228390\pi$
$692$	−40.1473	−	58.6079i	−1.52617	−	2.22794i
$693$	0.820990	−	2.88548i	0.0311868	−	0.109610i
$694$	−52.9748	+	7.38966i	−2.01089	+	0.280508i
$695$	−33.7378	−	16.7995i	−1.27975	−	0.637239i
$696$	84.8843	−	15.8676i	3.21753	−	0.601461i
$697$	−16.5262	+	16.4435i	−0.625975	+	0.622842i
$698$	−43.7665	−	8.18138i	−1.65659	−	0.309670i
$699$	2.34590	+	1.77154i	0.0887299	+	0.0670057i
$700$	5.85766	−	10.5165i	0.221399	−	0.397487i
$701$	−8.95553	−	3.46939i	−0.338246	−	0.131037i	0.186127	−	0.982526i	$-0.440406\pi$
$701$	−8.95553	−	3.46939i	−0.338246	−	0.131037i	−0.524373	+	0.851488i	$0.675700\pi$
$702$	−70.3075	−	31.0438i	−2.65359	−	1.17167i
$703$	23.9699	+	13.3512i	0.904043	+	0.503549i
$704$	13.7400	+	7.65310i	0.517844	+	0.288437i
$705$	16.8623	−	4.79774i	0.635072	−	0.180693i
$706$	18.2245	−	19.9914i	0.685890	−	0.752385i
$707$	17.0434	+	5.71237i	0.640983	+	0.214836i
$708$	26.0641	−	6.13023i	0.979550	−	0.230388i
$709$	−1.52193	−	1.52193i	−0.0571573	−	0.0571573i	0.677950	−	0.735108i	$-0.262868\pi$
$709$	−1.52193	−	1.52193i	−0.0571573	−	0.0571573i	−0.735108	+	0.677950i	$0.762868\pi$
$710$	49.2271	−	44.8764i	1.84746	−	1.68418i
$711$	4.83513	+	3.31214i	0.181331	+	0.124215i
$712$			129.378i			4.84864i
$713$	−2.33573	+	4.69077i	−0.0874736	+	0.175671i
$714$	−24.0276	+	18.0503i	−0.899210	+	0.675517i
$715$	4.69152	+	9.42185i	0.175453	+	0.352357i
$716$	69.1730	−	34.4441i	2.58512	−	1.28724i
$717$	1.31570	+	5.59401i	0.0491357	+	0.208912i
$718$	87.6323	−	16.3813i	3.27041	−	0.611345i
$719$	0.331400	+	0.227014i	0.0123591	+	0.00846619i	0.571300	−	0.820741i	$-0.306439\pi$
$719$	0.331400	+	0.227014i	0.0123591	+	0.00846619i	−0.558941	+	0.829207i	$0.688792\pi$
$720$	30.7438	+	4.28858i	1.14575	+	0.159826i
$721$	−9.10360	+	20.6177i	−0.339036	+	0.767842i
$722$	4.05256	+	6.54510i	0.150820	+	0.243583i
$723$	−6.77900	−	10.9485i	−0.252114	−	0.407178i
$724$	13.1479	−	29.7773i	0.488640	−	1.10666i
$725$	9.07027	+	1.26525i	0.336861	+	0.0469902i
$726$	27.9200	+	19.1257i	1.03621	+	0.709819i
$727$	27.1360	−	5.07260i	1.00642	−	0.188132i	0.345363	−	0.938469i	$-0.387756\pi$
$727$	27.1360	−	5.07260i	1.00642	−	0.188132i	0.661056	+	0.750337i	$0.270109\pi$
$728$	20.7132	+	88.0672i	0.767683	+	3.26399i
$729$	22.9428	−	11.4241i	0.849733	−	0.423117i
$730$	−23.4232	−	47.0402i	−0.866932	−	1.74103i
$731$	−1.06093	+	1.15793i	−0.0392398	+	0.0428277i
$732$	15.2256	−	30.5772i	0.562756	−	1.13017i
$733$			8.94069i			0.330232i	0.986274	+	0.165116i	$0.0527998\pi$
$733$			8.94069i			0.330232i	−0.986274	+	0.165116i	$0.947200\pi$
$734$	−43.2253	−	29.6101i	−1.59548	−	1.09293i
$735$	−4.51676	+	4.11757i	−0.166603	+	0.151879i
$736$	−10.9890	−	10.9890i	−0.405060	−	0.405060i
$737$	9.04313	−	2.12692i	0.333108	−	0.0783462i
$738$	−19.3852	−	6.49725i	−0.713578	−	0.239167i
$739$	17.4101	−	19.0980i	0.640441	−	0.702530i	−0.329969	−	0.943992i	$-0.607038\pi$
$739$	17.4101	−	19.0980i	0.640441	−	0.702530i	0.970410	+	0.241461i	$0.0776267\pi$
$740$	65.7772	−	18.7152i	2.41802	−	0.687985i
$741$	23.2422	+	12.9458i	0.853823	+	0.475576i
$742$	−51.8762	−	28.8948i	−1.90443	−	1.06076i
$743$	−35.8688	−	15.8376i	−1.31590	−	0.581026i	−0.377318	−	0.926084i	$-0.623154\pi$
$743$	−35.8688	−	15.8376i	−1.31590	−	0.581026i	−0.938582	+	0.345057i	$0.887859\pi$
$744$	−47.4903	−	18.3978i	−1.74108	−	0.674498i
$745$	6.03687	−	10.8383i	0.221174	−	0.397083i
$746$	17.1624	+	12.9604i	0.628359	+	0.474514i
$747$	−21.6775	−	4.05223i	−0.793140	−	0.148264i
$748$	−6.79808	−	20.4529i	−0.248563	−	0.747831i
$749$	−28.4642	+	5.32087i	−1.04006	+	0.194421i
$750$	−36.7364	−	18.2926i	−1.34142	−	0.667950i
$751$	48.8454	−	6.81365i	1.78239	−	0.248633i	0.830927	−	0.556381i	$-0.187811\pi$
$751$	48.8454	−	6.81365i	1.78239	−	0.248633i	0.951468	+	0.307748i	$0.0995753\pi$
$752$	−21.9793	+	77.2494i	−0.801504	+	2.81699i
$753$	−6.16417	−	8.99858i	−0.224635	−	0.327926i
$754$	−93.7624	+	64.2288i	−3.41463	+	2.33907i
$755$	−8.99014	+	38.2237i	−0.327185	+	1.39110i
$756$	−54.2468	−	27.0117i	−1.97294	−	0.982406i
$757$		−	51.5246i		−	1.87269i	−0.351078	−	0.936346i	$-0.614185\pi$
$757$		−	51.5246i		−	1.87269i	0.351078	−	0.936346i	$-0.385815\pi$
$758$	−27.3507	+	39.9271i	−0.993422	+	1.45022i
$759$	0.907574	+	1.09295i	0.0329428	+	0.0396716i
$760$	−62.9264	−	14.8001i	−2.28258	−	0.536858i
$761$	8.72693	+	11.5563i	0.316351	+	0.418916i	0.928214	−	0.372048i	$-0.121344\pi$
$761$	8.72693	+	11.5563i	0.316351	+	0.418916i	−0.611863	+	0.790964i	$0.709579\pi$
$762$	−13.3281	+	4.46711i	−0.482824	+	0.161826i
$763$	5.44993	−	29.1546i	0.197301	−	1.05547i
$764$	−74.6242	+	68.0290i	−2.69981	+	2.46120i
$765$	−7.04365	−	8.52577i	−0.254664	−	0.308250i
$766$	21.0908	+	19.2268i	0.762042	+	0.694693i
$767$	−17.0304	+	12.8608i	−0.614932	+	0.464375i
$768$	0.459990	−	0.553945i	0.0165985	−	0.0199888i
$769$	−3.22402	−	11.3312i	−0.116261	−	0.408615i	0.881746	−	0.471725i	$-0.156369\pi$
$769$	−3.22402	−	11.3312i	−0.116261	−	0.408615i	−0.998007	+	0.0631102i	$0.979898\pi$
$770$	4.67424	+	10.5861i	0.168448	+	0.381498i
$771$	18.1329	−	26.4707i	0.653040	−	0.953321i
$772$	−49.8220	−	6.94987i	−1.79313	−	0.250131i
$773$	−5.63832	+	30.1623i	−0.202796	+	1.08486i	0.718360	+	0.695671i	$0.244893\pi$
$773$	−5.63832	+	30.1623i	−0.202796	+	1.08486i	−0.921156	+	0.389193i	$0.872754\pi$
$774$	−1.32468	−	0.376905i	−0.0476147	−	0.0135476i
$775$	−4.15531	−	3.45053i	−0.149263	−	0.123947i
$776$	−1.78137	−	5.31487i	−0.0639473	−	0.190793i
$777$	−18.7202	−	0.865489i	−0.671585	−	0.0310492i
$778$	0.606757	+	6.54795i	0.0217533	+	0.234755i
$779$	20.7578	+	9.16545i	0.743724	+	0.328386i
$780$	63.7801	−	18.1470i	2.28370	−	0.649767i
$781$	−1.20791	−	13.0354i	−0.0432224	−	0.466444i
$782$	0.515307	+	11.7868i	0.0184273	+	0.421495i
$783$	4.25384	−	45.9063i	0.152020	−	1.64056i
$784$	−5.14495	−	27.5231i	−0.183748	−	0.982967i
$785$	1.70030	+	36.7769i	0.0606862	+	1.31262i
$786$	14.9242	+	13.6052i	0.532328	+	0.485281i
$787$	0.440310	+	1.87208i	0.0156953	+	0.0667325i	0.980714	−	0.195450i	$-0.0626167\pi$
$787$	0.440310	+	1.87208i	0.0156953	+	0.0667325i	−0.965018	+	0.262182i	$0.915558\pi$
$788$	−21.0164	+	89.3563i	−0.748678	+	3.18319i
$789$	−1.83603	+	39.7127i	−0.0653643	+	1.41381i
$790$	−22.5108	+	2.08594i	−0.800899	+	0.0742143i
$791$	−8.55558	+	13.8177i	−0.304202	+	0.491302i
$792$	8.09406	−	8.09406i	0.287610	−	0.287610i
$793$	−1.25736	+	27.1963i	−0.0446502	+	0.965768i
$794$	63.1925	−	8.81498i	2.24262	−	0.312832i
$795$	−11.7488	+	23.5948i	−0.416688	+	0.836821i
$796$	17.9889	+	40.7410i	0.637600	+	1.44403i
$797$	13.6910	+	15.0184i	0.484962	+	0.531978i	0.931962	−	0.362556i	$-0.118096\pi$
$797$	13.6910	+	15.0184i	0.484962	+	0.531978i	−0.447000	+	0.894534i	$0.647508\pi$
$798$	24.8693	+	15.3984i	0.880364	+	0.545098i
$799$	24.3655	−	15.0021i	0.861990	−	0.530735i
$800$	13.6191	−	8.43261i	0.481509	−	0.298138i
$801$	20.7207	+	5.89555i	0.732130	+	0.208309i
$802$	−51.9191	−	51.9191i	−1.83333	−	1.83333i
$803$	−10.1516	−	1.89767i	−0.358243	−	0.0669672i
$804$	−2.70304	−	58.4658i	−0.0953287	−	2.06193i
$805$	−0.627624	−	4.49929i	−0.0221209	−	0.158579i
$806$	66.9570	−	3.09561i	2.35846	−	0.109038i
$807$	11.7292	+	30.2765i	0.412887	+	1.06578i
$808$	46.2060	+	50.6855i	1.62552	+	1.78311i
$809$	−4.87399	−	5.86952i	−0.171360	−	0.206361i	0.676703	−	0.736256i	$-0.263408\pi$
$809$	−4.87399	−	5.86952i	−0.171360	−	0.206361i	−0.848064	+	0.529895i	$0.822232\pi$
$810$	−6.50772	+	14.7386i	−0.228658	+	0.517861i
$811$	48.5186	−	16.2618i	1.70372	−	0.571029i	0.712315	−	0.701860i	$-0.247647\pi$
$811$	48.5186	−	16.2618i	1.70372	−	0.571029i	0.991405	+	0.130831i	$0.0417646\pi$
$812$	−76.1903	+	47.1750i	−2.67375	+	1.65552i
$813$	−5.97836	+	17.8370i	−0.209670	+	0.625571i
$814$	6.77003	−	17.4755i	0.237290	−	0.612515i
$815$	4.44353	−	1.72143i	0.155650	−	0.0602992i
$816$	−60.5468	+	8.29112i	−2.11956	+	0.290247i
$817$	1.42535	+	0.552183i	0.0498667	+	0.0193185i
$818$	67.6228	−	74.1787i	2.36438	−	2.59360i
$819$	15.0484	+	0.695730i	0.525834	+	0.0243108i
$820$	52.7387	−	20.4311i	1.84171	−	0.713484i
$821$	−3.58648	+	25.7106i	−0.125169	+	0.897306i	0.820378	+	0.571821i	$0.193763\pi$
$821$	−3.58648	+	25.7106i	−0.125169	+	0.897306i	−0.945547	+	0.325485i	$0.894472\pi$
$822$	11.5010	+	20.6483i	0.401145	+	0.720193i
$823$	1.98474	+	14.2281i	0.0691837	+	0.495961i	0.993455	+	0.114225i	$0.0364385\pi$
$823$	1.98474	+	14.2281i	0.0691837	+	0.495961i	−0.924271	+	0.381736i	$0.875326\pi$
$824$	−68.6260	+	51.8239i	−2.39070	+	1.80537i
$825$	−1.31079	+	0.652697i	−0.0456360	+	0.0227240i
$826$	−19.3573	+	13.2601i	−0.673527	+	0.461377i
$827$	30.2202	−	30.2202i	1.05086	−	1.05086i	0.0522247	−	0.998635i	$-0.483369\pi$
$827$	30.2202	−	30.2202i	1.05086	−	1.05086i	0.998635	−	0.0522247i	$-0.0166312\pi$
$828$	−6.48236	+	3.61065i	−0.225278	+	0.125479i
$829$	−13.5601			−0.470961			−0.235481	−	0.971879i	$-0.575666\pi$
$829$	−13.5601			−0.470961			−0.235481	+	0.971879i	$0.575666\pi$
$830$	74.3164	−	41.3940i	2.57956	−	1.43681i
$831$	−36.2066	+	3.35503i	−1.25599	+	0.116385i
$832$	−21.6127	+	75.9609i	−0.749287	+	2.63347i
$833$	−5.27262	+	8.46804i	−0.182685	+	0.293400i
$834$	17.8074	+	62.5865i	0.616619	+	2.16719i
$835$	8.49817	+	21.9363i	0.294091	+	0.759137i
$836$	−16.1391	+	13.4017i	−0.558183	+	0.463509i
$837$	−16.3858	+	21.6982i	−0.566375	+	0.750001i
$838$	2.66988	−	7.96583i	0.0922293	−	0.275175i
$839$	18.5057	+	15.3670i	0.638889	+	0.530526i	0.900616	−	0.434615i	$-0.143116\pi$
$839$	18.5057	+	15.3670i	0.638889	+	0.530526i	−0.261727	+	0.965142i	$0.584292\pi$
$840$	42.9798	−	10.1088i	1.48294	−	0.348785i
$841$	−31.2625	−	23.6084i	−1.07802	−	0.814081i
$842$	−1.86877	−	9.99703i	−0.0644020	−	0.344520i
$843$	−4.69618	−	8.43125i	−0.161745	−	0.290388i
$844$	9.27341	−	4.09461i	0.319204	−	0.140942i
$845$	−20.9334	+	17.3829i	−0.720132	+	0.597990i
$846$	21.3348	+	13.2100i	0.733506	+	0.454168i
$847$	−20.7034	−	4.86940i	−0.711378	−	0.167315i
$848$	−63.5674	−	102.665i	−2.18291	−	3.52552i
$849$	−1.62257	−	2.14863i	−0.0556866	−	0.0737409i
$850$	−11.9479	−	2.26449i	−0.409811	−	0.0776715i
$851$	−4.43365	+	5.87111i	−0.151984	+	0.201259i
$852$	−82.1259	−	7.61009i	−2.81359	−	0.260717i
$853$	−5.14711	+	36.8984i	−0.176234	+	1.26338i	0.674695	+	0.738096i	$0.264275\pi$
$853$	−5.14711	+	36.8984i	−0.176234	+	1.26338i	−0.850929	+	0.525281i	$0.823960\pi$
$854$	−2.76189	+	29.8055i	−0.0945099	+	1.01992i
$855$	−5.23780	+	9.40365i	−0.179129	+	0.321598i
$856$	−104.761	−	35.1123i	−3.58065	−	1.20011i
$857$	−12.7571	−	38.0620i	−0.435774	−	1.30017i	−0.908102	−	0.418749i	$-0.862469\pi$
$857$	−12.7571	−	38.0620i	−0.435774	−	1.30017i	0.472328	−	0.881423i	$-0.343414\pi$
$858$	6.56449	−	16.9449i	0.224108	−	0.578489i
$859$	−7.01132	−	0.649694i	−0.239223	−	0.0221673i	−0.0280113	−	0.999608i	$-0.508917\pi$
$859$	−7.01132	−	0.649694i	−0.239223	−	0.0221673i	−0.211212	+	0.977440i	$0.567741\pi$
$860$	3.48534	−	1.53893i	0.118849	−	0.0524769i
$861$	−15.4819	+	0.715774i	−0.527623	+	0.0243935i
$862$	22.5887	−	27.2025i	0.769374	−	0.926522i
$863$	8.96956	+	18.0133i	0.305327	+	0.613180i	0.993687	−	0.112190i	$-0.0357865\pi$
$863$	8.96956	+	18.0133i	0.305327	+	0.613180i	−0.688360	+	0.725370i	$0.741669\pi$
$864$	−45.5719	−	66.5267i	−1.55039	−	2.26329i
$865$	14.5470	−	23.4942i	0.494613	−	0.798828i
$866$	−5.23192			−0.177788
$867$	17.8999	+	12.3941i	0.607913	+	0.420927i
$868$	52.8510			1.79388
$869$	−2.33893	+	3.77750i	−0.0793428	+	0.128143i
$870$	31.3458	+	45.7593i	1.06272	+	1.55138i
$871$	20.7933	+	41.7585i	0.704553	+	1.41493i
$872$	72.2972	−	87.0642i	2.44829	−	2.94837i
$873$	−0.932385	+	0.0431068i	−0.0315565	+	0.00145894i
$874$	10.5048	−	4.63834i	0.355332	−	0.156894i
$875$	25.6808	+	2.37968i	0.868169	+	0.0804477i
$876$	−23.5043	+	60.6715i	−0.794135	+	2.04990i
$877$	−10.4067	−	31.0494i	−0.351410	−	1.04846i	−0.965762	−	0.259431i	$-0.916465\pi$
$877$	−10.4067	−	31.0494i	−0.351410	−	1.04846i	0.614352	−	0.789032i	$-0.289418\pi$
$878$	−35.7856	−	11.9941i	−1.20771	−	0.404782i
$879$	−7.49602	+	13.4579i	−0.252835	+	0.453925i
$880$	−2.17127	+	23.4318i	−0.0731936	+	0.789885i
$881$	4.81244	−	34.4993i	0.162135	−	1.16231i	−0.720912	−	0.693027i	$-0.756277\pi$
$881$	4.81244	−	34.4993i	0.162135	−	1.16231i	0.883047	−	0.469284i	$-0.155488\pi$
$882$	−8.71082	−	0.807176i	−0.293309	−	0.0271790i
$883$	−17.7612	+	23.5196i	−0.597711	+	0.791498i	−0.991831	−	0.127561i	$-0.959285\pi$
$883$	−17.7612	+	23.5196i	−0.597711	+	0.791498i	0.394119	+	0.919059i	$0.371050\pi$
$884$	92.1602	−	56.7439i	3.09968	−	1.90850i
$885$	6.27649	+	8.31141i	0.210982	+	0.279385i
$886$	5.11919	+	8.26777i	0.171982	+	0.277761i
$887$	11.3427	+	2.66778i	0.380850	+	0.0895751i	0.414952	−	0.909843i	$-0.363798\pi$
$887$	11.3427	+	2.66778i	0.380850	+	0.0895751i	−0.0341020	+	0.999418i	$0.510857\pi$
$888$	−60.7946	−	37.6424i	−2.04013	−	1.26320i
$889$	6.79627	−	5.64355i	0.227939	−	0.189279i
$890$	−76.0194	+	33.5658i	−2.54817	+	1.12513i
$891$	1.54076	+	2.76620i	0.0516174	+	0.0926711i
$892$	10.2207	+	54.6760i	0.342215	+	1.83069i
$893$	−22.2250	−	16.7835i	−0.743730	−	0.561639i
$894$	−20.8503	+	4.90395i	−0.697339	+	0.164013i
$895$	23.1248	+	19.2025i	0.772975	+	0.641870i
$896$	−7.94866	+	23.7156i	−0.265546	+	0.792282i
$897$	−4.29904	+	5.69285i	−0.143541	+	0.190079i
$898$	14.1753	−	11.7710i	0.473036	−	0.392804i
$899$	14.5247	+	37.4926i	0.484427	+	1.25045i
$900$	−2.09301	−	7.35618i	−0.0697671	−	0.245206i
$901$	−8.01088	+	42.2671i	−0.266881	+	1.40812i
$902$	4.24154	−	14.9075i	0.141228	−	0.496364i
$903$	−1.03959	+	0.0963319i	−0.0345953	+	0.00320573i
$904$	−54.1740	+	30.1747i	−1.80180	+	1.00360i
$905$	12.6616			0.420886
$906$	59.2267	−	32.9891i	1.96768	−	1.09599i
$907$	2.29992	−	2.29992i	0.0763675	−	0.0763675i	−0.667891	−	0.744259i	$-0.732803\pi$
$907$	2.29992	−	2.29992i	0.0763675	−	0.0763675i	0.744259	+	0.667891i	$0.232803\pi$
$908$	5.33300	−	3.65319i	0.176982	−	0.121235i
$909$	10.2231	−	5.09052i	0.339080	−	0.168842i
$910$	−46.3723	+	35.0188i	−1.53723	+	1.16086i
$911$	7.72484	+	55.3775i	0.255935	+	1.83474i	0.501258	+	0.865298i	$0.332871\pi$
$911$	7.72484	+	55.3775i	0.255935	+	1.83474i	−0.245322	+	0.969442i	$0.578894\pi$
$912$	28.9439	+	51.9643i	0.958429	+	1.72071i
$913$	2.30972	−	16.5578i	0.0764405	−	0.547984i
$914$	3.78242	−	1.46532i	0.125111	−	0.0484684i
$915$	13.2727	+	0.613635i	0.438782	+	0.0202861i
$916$	−12.6900	+	13.9203i	−0.419289	+	0.459938i
$917$	−11.8344	−	4.58469i	−0.390808	−	0.151400i
$918$	−8.60976	+	60.6097i	−0.284164	+	2.00042i
$919$	−8.36282	+	3.23977i	−0.275864	+	0.106870i	−0.495200	−	0.868779i	$-0.664905\pi$
$919$	−8.36282	+	3.23977i	−0.275864	+	0.106870i	0.219336	+	0.975649i	$0.429611\pi$
$920$	6.26162	−	16.1631i	0.206439	−	0.532882i
$921$	11.3468	−	33.8544i	0.373891	−	1.11554i
$922$	−26.7096	+	16.5379i	−0.879635	+	0.544647i
$923$	62.3298	−	20.8909i	2.05161	−	0.687631i
$924$	5.78753	−	13.1075i	0.190396	−	0.431205i
$925$	−4.84452	−	5.83404i	−0.159287	−	0.191822i
$926$	−23.3485	−	25.6121i	−0.767280	−	0.841666i
$927$	5.17276	+	13.3524i	0.169896	+	0.438552i
$928$	−119.118	+	5.50716i	−3.91024	+	0.180781i
$929$	−0.436005	−	3.12562i	−0.0143049	−	0.102548i	0.981930	−	0.189245i	$-0.0606041\pi$
$929$	−0.436005	−	3.12562i	−0.0143049	−	0.102548i	−0.996235	+	0.0866970i	$0.972369\pi$
$930$	−1.51076	−	32.6773i	−0.0495399	−	1.07153i
$931$	9.54393	+	1.78407i	0.312790	+	0.0584705i
$932$	−8.23048	−	8.23048i	−0.269598	−	0.269598i
$933$	1.83304	+	0.521545i	0.0600110	+	0.0170746i
$934$	56.6156	−	35.0549i	1.85252	−	1.14703i
$935$	6.20979	−	5.63251i	0.203082	−	0.184203i
$936$	48.8702	+	30.2591i	1.59737	+	0.989050i
$937$	9.89942	+	10.8591i	0.323400	+	0.354753i	0.879106	−	0.476626i	$-0.158140\pi$
$937$	9.89942	+	10.8591i	0.323400	+	0.354753i	−0.555706	+	0.831379i	$0.687552\pi$
$938$	20.7167	+	46.9187i	0.676423	+	1.53195i
$939$	−14.5209	+	29.1620i	−0.473873	+	0.951665i
$940$	−68.7512	+	9.59038i	−2.24242	+	0.312804i
$941$	−0.237533	+	5.13777i	−0.00774337	+	0.167486i	0.991545	+	0.129764i	$0.0414220\pi$
$941$	−0.237533	+	5.13777i	−0.00774337	+	0.167486i	−0.999288	+	0.0377224i	$0.987990\pi$
$942$	44.9462	−	44.9462i	1.46442	−	1.46442i
$943$	−3.20305	+	5.17311i	−0.104306	+	0.168460i
$944$	−47.5099	+	4.40244i	−1.54631	+	0.143287i
$945$	1.08864	−	23.5470i	0.0354136	−	0.765984i
$946$	0.239044	−	1.01635i	0.00777198	−	0.0330444i
$947$	−2.40022	−	10.2051i	−0.0779967	−	0.331622i	0.920214	−	0.391415i	$-0.128014\pi$
$947$	−2.40022	−	10.2051i	−0.0779967	−	0.331622i	−0.998211	+	0.0597939i	$0.980956\pi$
$948$	20.6862	+	18.8579i	0.671855	+	0.612477i
$949$	−2.39504	−	51.8039i	−0.0777462	−	1.68163i
$950$	2.17490	+	11.6347i	0.0705631	+	0.377479i
$951$	−2.98717	+	32.2367i	−0.0968657	+	1.04535i
$952$	63.0430	−	34.9078i	2.04324	−	1.13137i
$953$	−1.16643	−	12.5878i	−0.0377845	−	0.407760i	−0.993530	−	0.113566i	$-0.963773\pi$
$953$	−1.16643	−	12.5878i	−0.0377845	−	0.407760i	0.955746	−	0.294193i	$-0.0950509\pi$
$954$	−36.2868	+	10.3245i	−1.17483	+	0.334267i
$955$	−35.9320	−	15.8655i	−1.16273	−	0.513396i
$956$	−2.09948	−	22.6570i	−0.0679021	−	0.732780i
$957$	10.8890	+	0.503431i	0.351993	+	0.0162736i
$958$	27.0852	+	80.8112i	0.875083	+	2.61089i
$959$	−11.4274	−	9.48917i	−0.369009	−	0.306421i
$960$	37.0715	+	10.5478i	1.19648	+	0.340428i
$961$	−1.33891	+	7.16254i	−0.0431907	+	0.231050i
$962$	93.2053	+	13.0016i	3.00506	+	0.419188i
$963$	−10.3972	+	15.1781i	−0.335046	+	0.489108i
$964$	20.5951	+	46.6434i	0.663323	+	1.50228i
$965$	−5.35487	−	18.8204i	−0.172380	−	0.605851i
$966$	−5.01066	+	6.03411i	−0.161215	+	0.194144i
$967$	−30.9030	+	23.3369i	−0.993774	+	0.750463i	−0.968448	−	0.249216i	$-0.919827\pi$
$967$	−30.9030	+	23.3369i	−0.993774	+	0.750463i	−0.0253262	+	0.999679i	$0.508062\pi$
$968$	−59.9713	−	54.6710i	−1.92755	−	1.75719i
$969$	4.90347	−	20.6161i	0.157522	−	0.662284i
$970$	2.66073	−	2.42558i	0.0854310	−	0.0778807i
$971$	6.86311	−	36.7144i	0.220248	−	1.17822i	−0.676759	−	0.736204i	$-0.736616\pi$
$971$	6.86311	−	36.7144i	0.220248	−	1.17822i	0.897007	−	0.442016i	$-0.145737\pi$
$972$	−61.6257	+	20.6549i	−1.97665	+	0.662505i
$973$	−24.6439	−	32.6338i	−0.790046	−	1.04619i
$974$	27.5663	+	6.48353i	0.883281	+	0.207746i
$975$	−4.69744	−	5.65691i	−0.150438	−	0.181166i
$976$	−34.3997	+	50.2173i	−1.10111	+	1.60742i
$977$		−	19.0430i		−	0.609241i	−0.952474	−	0.304620i	$-0.901470\pi$
$977$		−	19.0430i		−	0.609241i	0.952474	−	0.304620i	$-0.0985296\pi$
$978$	−7.36485	−	3.66726i	−0.235502	−	0.117266i
$979$	−3.73912	+	15.8978i	−0.119503	+	0.508095i
$980$	19.9652	−	13.6765i	0.637765	−	0.436879i
$981$	−10.6494	−	15.5462i	−0.340010	−	0.496353i
$982$	−6.93025	+	24.3573i	−0.221153	+	0.777272i
$983$	−8.32756	+	1.16165i	−0.265608	+	0.0370507i	−0.269713	−	0.962941i	$-0.586929\pi$
$983$	−8.32756	+	1.16165i	−0.265608	+	0.0370507i	0.00410472	+	0.999992i	$0.498693\pi$
$984$	−52.9360	−	26.3590i	−1.68754	−	0.840295i
$985$	−35.0983	+	6.56101i	−1.11832	+	0.209051i
$986$	69.5003	+	58.0075i	2.21334	+	1.84733i
$987$	18.6983	+	3.49532i	0.595174	+	0.111257i
$988$	−84.0639	−	63.4821i	−2.67443	−	2.01963i
$989$	−0.199446	+	0.358075i	−0.00634203	+	0.0113861i
$990$	6.85580	+	2.65595i	0.217892	+	0.0844117i
$991$	−7.97272	−	3.52030i	−0.253262	−	0.111826i	0.273402	−	0.961900i	$-0.411851\pi$
$991$	−7.97272	−	3.52030i	−0.253262	−	0.111826i	−0.526663	+	0.850074i	$0.676557\pi$
$992$	61.4396	+	34.2217i	1.95071	+	1.08654i
$993$	−24.1434	−	13.4478i	−0.766167	−	0.426752i
$994$	69.5170	−	19.7793i	2.20494	−	0.627361i
$995$	−11.6708	+	12.8022i	−0.369989	+	0.405858i
$996$	−99.8677	−	33.4723i	−3.16443	−	1.06061i
$997$	47.3435	−	11.1351i	1.49938	−	0.352652i	0.603652	−	0.797248i	$-0.293712\pi$
$997$	47.3435	−	11.1351i	1.49938	−	0.352652i	0.895731	+	0.444596i	$0.146653\pi$
$998$	12.1625	+	12.1625i	0.384996	+	0.384996i
$999$	−28.2116	+	25.7183i	−0.892576	+	0.813690i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	289.2.h.a.149.1	✓	768
289.225	even	68	inner	289.2.h.a.225.1	yes	768

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
289.2.h.a.149.1	✓	768	1.1	even	1	trivial
289.2.h.a.225.1	yes	768	289.225	even	68	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:	\( N \)	\(=\)	\( 289 = 17^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	289.h (of order \(68\), degree \(32\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39986 + 2.26084i) q^{2} +(0.723775 + 1.05658i) q^{3} +(-2.26034 - 4.53938i) q^{4} +(1.26014 - 1.51753i) q^{5} +(-3.40195 + 0.157281i) q^{6} +(1.95788 - 0.864487i) q^{7} +(8.13140 + 0.753485i) q^{8} +(0.491211 - 1.26796i) q^{9} +O(q^{10})\)	\(q+(-1.39986 + 2.26084i) q^{2} +(0.723775 + 1.05658i) q^{3} +(-2.26034 - 4.53938i) q^{4} +(1.26014 - 1.51753i) q^{5} +(-3.40195 + 0.157281i) q^{6} +(1.95788 - 0.864487i) q^{7} +(8.13140 + 0.753485i) q^{8} +(0.491211 - 1.26796i) q^{9} +(1.66688 + 4.97330i) q^{10} +(0.977398 + 0.327591i) q^{11} +(3.16025 - 5.67373i) q^{12} +(-0.477612 + 5.15425i) q^{13} +(-0.786273 + 5.63661i) q^{14} +(2.51545 + 0.233091i) q^{15} +(-6.97436 + 9.23554i) q^{16} +(4.05479 - 0.747449i) q^{17} +(2.17904 + 2.88551i) q^{18} +(-2.11263 - 3.41201i) q^{19} +(-9.73699 - 2.29012i) q^{20} +(2.33046 + 1.44296i) q^{21} +(-2.10885 + 1.75117i) q^{22} +(0.984393 - 0.434652i) q^{23} +(5.08919 + 9.13684i) q^{24} +(0.203806 + 1.09027i) q^{25} +(-10.9844 - 8.29501i) q^{26} +(5.43530 - 1.27837i) q^{27} +(-8.34971 - 6.93351i) q^{28} +(2.62395 - 7.82880i) q^{29} +(-4.04825 + 5.36075i) q^{30} +(-3.74638 + 3.11095i) q^{31} +(-5.21706 - 13.4668i) q^{32} +(0.361290 + 1.26980i) q^{33} +(-3.98625 + 10.2136i) q^{34} +(1.15531 - 4.06051i) q^{35} +(-6.86606 + 0.636234i) q^{36} +(-5.97292 + 3.32689i) q^{37} +10.6714 q^{38} +(-5.79157 + 3.22588i) q^{39} +(11.3901 - 11.3901i) q^{40} +(-4.66476 + 3.19544i) q^{41} +(-6.52462 + 3.24888i) q^{42} +(-0.303961 + 0.229540i) q^{43} +(-0.722196 - 5.17725i) q^{44} +(-1.30517 - 2.34323i) q^{45} +(-0.395327 + 2.83401i) q^{46} +(6.47119 - 2.50695i) q^{47} +(-14.8060 - 0.684522i) q^{48} +(-1.62993 + 1.78795i) q^{49} +(-2.75023 - 1.06544i) q^{50} +(3.72450 + 3.74323i) q^{51} +(24.4767 - 9.48231i) q^{52} +(-3.76912 + 9.72921i) q^{53} +(-4.71844 + 14.0779i) q^{54} +(1.72879 - 1.07042i) q^{55} +(16.5716 - 5.55425i) q^{56} +(2.07600 - 4.70169i) q^{57} +(14.0265 + 16.8915i) q^{58} +(2.77750 + 3.04677i) q^{59} +(-4.62770 - 11.9455i) q^{60} +(5.25397 - 0.242905i) q^{61} +(-1.78899 - 12.8249i) q^{62} +(-0.134406 - 2.90716i) q^{63} +(14.9973 + 2.80348i) q^{64} +(7.21987 + 7.21987i) q^{65} +(-3.37658 - 0.960720i) q^{66} +(7.66215 - 4.74420i) q^{67} +(-12.5582 - 16.7167i) q^{68} +(1.17172 + 0.725501i) q^{69} +(7.56290 + 8.29611i) q^{70} +(-5.12966 - 11.6176i) q^{71} +(4.94962 - 9.94017i) q^{72} +(-9.92245 + 1.38412i) q^{73} +(0.839633 - 18.1610i) q^{74} +(-1.00445 + 1.00445i) q^{75} +(-10.7132 + 17.3023i) q^{76} +(2.19682 - 0.203566i) q^{77} +(0.814141 - 17.6096i) q^{78} +(-0.986795 + 4.19560i) q^{79} +(5.22654 + 22.2219i) q^{80} +(2.26997 + 2.06935i) q^{81} +(-0.694391 - 15.0194i) q^{82} +(-2.98006 - 15.9419i) q^{83} +(1.28251 - 13.8404i) q^{84} +(3.97533 - 7.09515i) q^{85} +(-0.0934541 - 1.00853i) q^{86} +(10.1709 - 2.89388i) q^{87} +(7.70078 + 3.40023i) q^{88} +(1.46181 + 15.7754i) q^{89} +(7.12474 + 0.329397i) q^{90} +(3.52068 + 10.5043i) q^{91} +(-4.19811 - 3.48607i) q^{92} +(-5.99851 - 1.70672i) q^{93} +(-3.39090 + 18.1397i) q^{94} +(-7.84003 - 1.09364i) q^{95} +(10.4528 - 15.2592i) q^{96} +(-0.277259 - 0.627932i) q^{97} +(-1.76060 - 6.18788i) q^{98} +(0.895481 - 1.07839i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9}+O(q^{10}) \) 768 * q - 34 * q^2 - 34 * q^3 + 14 * q^4 - 34 * q^5 - 34 * q^6 - 34 * q^7 - 34 * q^8 - 34 * q^9	\( 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9} + 34 q^{10} - 34 q^{11} - 34 q^{12} - 30 q^{13} - 34 q^{14} - 34 q^{15} - 82 q^{16} - 34 q^{17} - 42 q^{18} - 34 q^{19} - 34 q^{20} - 26 q^{21} - 34 q^{22} - 34 q^{23} - 204 q^{24} + 170 q^{25} - 34 q^{26} - 34 q^{27} - 34 q^{28} - 34 q^{29} - 14 q^{30} - 34 q^{31} - 34 q^{32} + 56 q^{33} - 34 q^{34} - 42 q^{35} - 34 q^{36} - 34 q^{37} + 144 q^{38} - 170 q^{39} - 34 q^{40} - 34 q^{41} - 34 q^{42} - 34 q^{43} - 34 q^{44} - 34 q^{45} + 102 q^{46} - 30 q^{47} - 34 q^{48} - 34 q^{49} - 62 q^{50} + 238 q^{51} - 50 q^{52} + 136 q^{54} - 14 q^{55} - 34 q^{56} - 34 q^{57} - 34 q^{58} - 34 q^{59} - 34 q^{60} - 34 q^{61} - 238 q^{62} - 34 q^{63} + 38 q^{64} - 34 q^{65} + 476 q^{66} + 82 q^{67} - 34 q^{68} - 62 q^{69} - 34 q^{70} - 34 q^{71} + 10 q^{72} - 34 q^{73} - 34 q^{74} + 102 q^{75} - 102 q^{76} - 374 q^{77} - 34 q^{78} + 68 q^{79} - 34 q^{80} + 30 q^{81} - 34 q^{82} + 102 q^{83} - 82 q^{84} - 204 q^{85} - 62 q^{86} - 34 q^{87} + 170 q^{88} - 22 q^{89} - 34 q^{90} - 34 q^{91} + 34 q^{92} - 34 q^{93} + 238 q^{94} - 34 q^{95} + 544 q^{96} - 34 q^{97} + 10 q^{98} - 34 q^{99}+O(q^{100}) \) 768 * q - 34 * q^2 - 34 * q^3 + 14 * q^4 - 34 * q^5 - 34 * q^6 - 34 * q^7 - 34 * q^8 - 34 * q^9 + 34 * q^10 - 34 * q^11 - 34 * q^12 - 30 * q^13 - 34 * q^14 - 34 * q^15 - 82 * q^16 - 34 * q^17 - 42 * q^18 - 34 * q^19 - 34 * q^20 - 26 * q^21 - 34 * q^22 - 34 * q^23 - 204 * q^24 + 170 * q^25 - 34 * q^26 - 34 * q^27 - 34 * q^28 - 34 * q^29 - 14 * q^30 - 34 * q^31 - 34 * q^32 + 56 * q^33 - 34 * q^34 - 42 * q^35 - 34 * q^36 - 34 * q^37 + 144 * q^38 - 170 * q^39 - 34 * q^40 - 34 * q^41 - 34 * q^42 - 34 * q^43 - 34 * q^44 - 34 * q^45 + 102 * q^46 - 30 * q^47 - 34 * q^48 - 34 * q^49 - 62 * q^50 + 238 * q^51 - 50 * q^52 + 136 * q^54 - 14 * q^55 - 34 * q^56 - 34 * q^57 - 34 * q^58 - 34 * q^59 - 34 * q^60 - 34 * q^61 - 238 * q^62 - 34 * q^63 + 38 * q^64 - 34 * q^65 + 476 * q^66 + 82 * q^67 - 34 * q^68 - 62 * q^69 - 34 * q^70 - 34 * q^71 + 10 * q^72 - 34 * q^73 - 34 * q^74 + 102 * q^75 - 102 * q^76 - 374 * q^77 - 34 * q^78 + 68 * q^79 - 34 * q^80 + 30 * q^81 - 34 * q^82 + 102 * q^83 - 82 * q^84 - 204 * q^85 - 62 * q^86 - 34 * q^87 + 170 * q^88 - 22 * q^89 - 34 * q^90 - 34 * q^91 + 34 * q^92 - 34 * q^93 + 238 * q^94 - 34 * q^95 + 544 * q^96 - 34 * q^97 + 10 * q^98 - 34 * q^99

Introduction

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