LMFDB - Embedded newform 300.2.w.a.223.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(67,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 0, 13]))

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

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

chi := DirichletCharacter("300.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, degree $8$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			223.19
Character	$\chi$	$=$	300.223
Dual form			300.2.w.a.187.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.448691 - 1.34115i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.59735 - 1.20352i) q^{4} +(2.23534 - 0.0568795i) q^{5} +(1.39867 - 0.209081i) q^{6} +(2.47703 + 2.47703i) q^{7} +(-2.33082 + 1.60227i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(0.448691 - 1.34115i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.59735 - 1.20352i) q^{4} +(2.23534 - 0.0568795i) q^{5} +(1.39867 - 0.209081i) q^{6} +(2.47703 + 2.47703i) q^{7} +(-2.33082 + 1.60227i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(0.926696 - 3.02345i) q^{10} +(2.07978 + 2.86258i) q^{11} +(0.347164 - 1.96964i) q^{12} +(-0.541843 - 3.42106i) q^{13} +(4.43349 - 2.21064i) q^{14} +(1.06551 + 1.96588i) q^{15} +(1.10307 + 3.84490i) q^{16} +(-3.90086 - 1.98759i) q^{17} +(0.821277 + 1.15131i) q^{18} +(-1.81409 - 5.58320i) q^{19} +(-3.63909 - 2.59943i) q^{20} +(-1.08250 + 3.33160i) q^{21} +(4.77232 - 1.50488i) q^{22} +(0.0122038 - 0.0770517i) q^{23} +(-2.48581 - 1.34936i) q^{24} +(4.99353 - 0.254291i) q^{25} +(-4.83127 - 0.808310i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(-0.975529 - 6.93786i) q^{28} +(-0.807803 - 0.262471i) q^{29} +(3.11462 - 0.546924i) q^{30} +(-0.000123334 + 4.00736e-5i) q^{31} +(5.65151 + 0.245797i) q^{32} +(-1.60637 + 3.15269i) q^{33} +(-4.41593 + 4.33981i) q^{34} +(5.67791 + 5.39613i) q^{35} +(1.91257 - 0.584872i) q^{36} +(5.10375 - 0.808354i) q^{37} +(-8.30186 - 0.0721695i) q^{38} +(2.80220 - 2.03591i) q^{39} +(-5.11905 + 3.71421i) q^{40} +(-4.23098 - 3.07399i) q^{41} +(3.98246 + 2.94666i) q^{42} +(-4.57632 + 4.57632i) q^{43} +(0.123028 - 7.07561i) q^{44} +(-1.26789 + 1.84186i) q^{45} +(-0.0978619 - 0.0509395i) q^{46} +(-11.5502 + 5.88510i) q^{47} +(-2.92505 + 2.72839i) q^{48} +5.27138i q^{49} +(1.89951 - 6.81116i) q^{50} -4.37804i q^{51} +(-3.25181 + 6.11676i) q^{52} +(-9.59125 + 4.88699i) q^{53} +(-0.652969 + 1.25444i) q^{54} +(4.81186 + 6.28055i) q^{55} +(-9.74240 - 1.80463i) q^{56} +(4.15109 - 4.15109i) q^{57} +(-0.714467 + 0.965614i) q^{58} +(-7.12122 - 5.17387i) q^{59} +(0.663998 - 4.42257i) q^{60} +(8.17083 - 5.93646i) q^{61} +(-1.59424e-6 + 0.000183390i) q^{62} +(-3.45992 + 0.547998i) q^{63} +(2.86543 - 7.46922i) q^{64} +(-1.40579 - 7.61643i) q^{65} +(3.50745 + 3.56897i) q^{66} +(-4.18342 + 8.21042i) q^{67} +(3.83894 + 7.86965i) q^{68} +(0.0741939 - 0.0241071i) q^{69} +(9.78463 - 5.19372i) q^{70} +(-1.99288 - 0.647527i) q^{71} +(0.0737538 - 2.82747i) q^{72} +(12.5935 + 1.99462i) q^{73} +(1.20589 - 7.20758i) q^{74} +(2.49359 + 4.33382i) q^{75} +(-3.82176 + 11.1016i) q^{76} +(-1.93900 + 12.2424i) q^{77} +(-1.47314 - 4.67166i) q^{78} +(0.609102 - 1.87462i) q^{79} +(2.68443 + 8.53193i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-6.02107 + 4.29510i) q^{82} +(14.4825 + 7.37922i) q^{83} +(5.73880 - 4.01892i) q^{84} +(-8.83282 - 4.22106i) q^{85} +(4.08417 + 8.19088i) q^{86} +(-0.132871 - 0.838917i) q^{87} +(-9.43424 - 3.33977i) q^{88} +(-3.49423 - 4.80940i) q^{89} +(1.90132 + 2.52685i) q^{90} +(7.13192 - 9.81624i) q^{91} +(-0.112227 + 0.108391i) q^{92} +(-9.16983e-5 - 9.16983e-5i) q^{93} +(2.71033 + 18.1311i) q^{94} +(-4.37269 - 12.3772i) q^{95} +(2.34673 + 5.14712i) q^{96} +(-1.72335 - 3.38227i) q^{97} +(7.06970 + 2.36522i) q^{98} -3.53834 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8}+O(q^{10}) $ 240 * q + 12 * q^8	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{11}{20}\right)$

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 $

$2$	0.448691	−	1.34115i	0.317273	−	0.948334i
$2$	0.448691	−	1.34115i	0.317273	−	0.948334i
$3$	0.453990	+	0.891007i	0.262112	+	0.514423i
$3$	0.453990	+	0.891007i	0.262112	+	0.514423i
$4$	−1.59735	−	1.20352i	−0.798676	−	0.601761i
$5$	2.23534	−	0.0568795i	0.999676	−	0.0254373i
$5$	2.23534	−	0.0568795i	0.999676	−	0.0254373i
$6$	1.39867	−	0.209081i	0.571006	−	0.0853570i
$7$	2.47703	+	2.47703i	0.936230	+	0.936230i	0.998085	−	0.0618548i	$-0.0197016\pi$
$7$	2.47703	+	2.47703i	0.936230	+	0.936230i	−0.0618548	+	0.998085i	$0.519702\pi$
$8$	−2.33082	+	1.60227i	−0.824069	+	0.566490i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	0.926696	−	3.02345i	0.293047	−	0.956098i
$11$	2.07978	+	2.86258i	0.627079	+	0.863100i	0.997844	−	0.0656267i	$-0.0209047\pi$
$11$	2.07978	+	2.86258i	0.627079	+	0.863100i	−0.370766	+	0.928726i	$0.620905\pi$
$12$	0.347164	−	1.96964i	0.100218	−	0.568586i
$13$	−0.541843	−	3.42106i	−0.150280	−	0.948832i	−0.941430	−	0.337209i	$-0.890517\pi$
$13$	−0.541843	−	3.42106i	−0.150280	−	0.948832i	0.791150	−	0.611623i	$-0.209483\pi$
$14$	4.43349	−	2.21064i	1.18490	−	0.590819i
$15$	1.06551	+	1.96588i	0.275112	+	0.507589i
$16$	1.10307	+	3.84490i	0.275767	+	0.961225i
$17$	−3.90086	−	1.98759i	−0.946097	−	0.482061i	−0.0883256	−	0.996092i	$-0.528152\pi$
$17$	−3.90086	−	1.98759i	−0.946097	−	0.482061i	−0.857772	+	0.514031i	$0.828152\pi$
$18$	0.821277	+	1.15131i	0.193577	+	0.271365i
$19$	−1.81409	−	5.58320i	−0.416181	−	1.28087i	−0.911190	−	0.411986i	$-0.864835\pi$
$19$	−1.81409	−	5.58320i	−0.416181	−	1.28087i	0.495009	−	0.868888i	$-0.335165\pi$
$20$	−3.63909	−	2.59943i	−0.813725	−	0.581250i
$21$	−1.08250	+	3.33160i	−0.236222	+	0.727015i
$22$	4.77232	−	1.50488i	1.01746	−	0.320842i
$23$	0.0122038	−	0.0770517i	0.00254466	−	0.0160664i	−0.986383	−	0.164462i	$-0.947411\pi$
$23$	0.0122038	−	0.0770517i	0.00254466	−	0.0160664i	0.988928	+	0.148396i	$0.0474111\pi$
$24$	−2.48581	−	1.34936i	−0.507413	−	0.275436i
$25$	4.99353	−	0.254291i	0.998706	−	0.0508581i
$26$	−4.83127	−	0.808310i	−0.947489	−	0.158523i
$27$	−0.987688	−	0.156434i	−0.190081	−	0.0301058i
$28$	−0.975529	−	6.93786i	−0.184358	−	1.31113i
$29$	−0.807803	−	0.262471i	−0.150005	−	0.0487397i	0.233052	−	0.972464i	$-0.425129\pi$
$29$	−0.807803	−	0.262471i	−0.150005	−	0.0487397i	−0.383057	+	0.923725i	$0.625129\pi$
$30$	3.11462	−	0.546924i	0.568650	−	0.0998543i
$31$	−0.000123334	0	4.00736e-5i	−2.21514e−5	0	7.19743e-6i	−0.309028	−	0.951053i	$-0.600004\pi$
$31$	−0.000123334	0	4.00736e-5i	−2.21514e−5	0	7.19743e-6i	0.309006	+	0.951060i	$0.400004\pi$
$32$	5.65151	+	0.245797i	0.999056	+	0.0434511i
$33$	−1.60637	+	3.15269i	−0.279634	+	0.548812i
$34$	−4.41593	+	4.33981i	−0.757325	+	0.744272i
$35$	5.67791	+	5.39613i	0.959743	+	0.912112i
$36$	1.91257	−	0.584872i	0.318762	−	0.0974787i
$37$	5.10375	−	0.808354i	0.839051	−	0.132893i	0.277904	−	0.960609i	$-0.410360\pi$
$37$	5.10375	−	0.808354i	0.839051	−	0.132893i	0.561147	+	0.827716i	$0.310360\pi$
$38$	−8.30186	−	0.0721695i	−1.34674	−	0.0117074i
$39$	2.80220	−	2.03591i	0.448711	−	0.326007i
$40$	−5.11905	+	3.71421i	−0.809392	+	0.587268i
$41$	−4.23098	−	3.07399i	−0.660768	−	0.480076i	0.206154	−	0.978520i	$-0.433905\pi$
$41$	−4.23098	−	3.07399i	−0.660768	−	0.480076i	−0.866922	+	0.498443i	$0.833905\pi$
$42$	3.98246	+	2.94666i	0.614507	+	0.454679i
$43$	−4.57632	+	4.57632i	−0.697883	+	0.697883i	−0.963954	−	0.266071i	$-0.914275\pi$
$43$	−4.57632	+	4.57632i	−0.697883	+	0.697883i	0.266071	+	0.963954i	$0.414275\pi$
$44$	0.123028	−	7.07561i	0.0185472	−	1.06669i
$45$	−1.26789	+	1.84186i	−0.189005	+	0.274569i
$46$	−0.0978619	−	0.0509395i	−0.0144289	−	0.00751062i
$47$	−11.5502	+	5.88510i	−1.68476	+	0.858430i	−0.694457	+	0.719534i	$0.744356\pi$
$47$	−11.5502	+	5.88510i	−1.68476	+	0.858430i	−0.990307	+	0.138896i	$0.955644\pi$
$48$	−2.92505	+	2.72839i	−0.422194	+	0.393809i
$49$			5.27138i			0.753054i
$50$	1.89951	−	6.81116i	0.268632	−	0.963243i
$51$		−	4.37804i		−	0.613048i
$52$	−3.25181	+	6.11676i	−0.450945	+	0.848242i
$53$	−9.59125	+	4.88699i	−1.31746	+	0.671279i	−0.964431	−	0.264333i	$-0.914848\pi$
$53$	−9.59125	+	4.88699i	−1.31746	+	0.671279i	−0.353029	+	0.935613i	$0.614848\pi$
$54$	−0.652969	+	1.25444i	−0.0888578	+	0.170708i
$55$	4.81186	+	6.28055i	0.648831	+	0.846869i
$56$	−9.74240	−	1.80463i	−1.30188	−	0.241154i
$57$	4.15109	−	4.15109i	0.549825	−	0.549825i
$58$	−0.714467	+	0.965614i	−0.0938141	+	0.126791i
$59$	−7.12122	−	5.17387i	−0.927104	−	0.673580i	0.0181782	−	0.999835i	$-0.494213\pi$
$59$	−7.12122	−	5.17387i	−0.927104	−	0.673580i	−0.945282	+	0.326254i	$0.894213\pi$
$60$	0.663998	−	4.42257i	0.0857218	−	0.570951i
$61$	8.17083	−	5.93646i	1.04617	−	0.760085i	0.0746877	−	0.997207i	$-0.476204\pi$
$61$	8.17083	−	5.93646i	1.04617	−	0.760085i	0.971480	+	0.237122i	$0.0762040\pi$
$62$	−1.59424e−6	0	0.000183390i	−2.02468e−7	0	2.32905e-5i
$63$	−3.45992	+	0.547998i	−0.435910	+	0.0690413i
$64$	2.86543	−	7.46922i	0.358179	−	0.933653i
$65$	−1.40579	−	7.61643i	−0.174367	−	0.944702i
$66$	3.50745	+	3.56897i	0.431737	+	0.439309i
$67$	−4.18342	+	8.21042i	−0.511086	+	1.00306i	0.480907	+	0.876771i	$0.340307\pi$
$67$	−4.18342	+	8.21042i	−0.511086	+	1.00306i	−0.991993	+	0.126291i	$0.959693\pi$
$68$	3.83894	+	7.86965i	0.465540	+	0.954335i
$69$	0.0741939	−	0.0241071i	0.00893190	−	0.00290215i
$70$	9.78463	−	5.19372i	1.16949	−	0.620769i
$71$	−1.99288	−	0.647527i	−0.236512	−	0.0768473i	0.188363	−	0.982099i	$-0.439682\pi$
$71$	−1.99288	−	0.647527i	−0.236512	−	0.0768473i	−0.424875	+	0.905252i	$0.639682\pi$
$72$	0.0737538	−	2.82747i	0.00869197	−	0.333220i
$73$	12.5935	+	1.99462i	1.47396	+	0.233453i	0.841129	−	0.540835i	$-0.181892\pi$
$73$	12.5935	+	1.99462i	1.47396	+	0.233453i	0.632834	+	0.774288i	$0.281892\pi$
$74$	1.20589	−	7.20758i	0.140181	−	0.837864i
$75$	2.49359	+	4.33382i	0.287935	+	0.500427i
$76$	−3.82176	+	11.1016i	−0.438386	+	1.27344i
$77$	−1.93900	+	12.2424i	−0.220970	+	1.39515i
$78$	−1.47314	−	4.67166i	−0.166800	−	0.528961i
$79$	0.609102	−	1.87462i	0.0685293	−	0.210911i	−0.910927	−	0.412567i	$-0.864632\pi$
$79$	0.609102	−	1.87462i	0.0685293	−	0.210911i	0.979456	+	0.201656i	$0.0646322\pi$
$80$	2.68443	+	8.53193i	0.300129	+	0.953899i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−6.02107	+	4.29510i	−0.664916	+	0.474314i
$83$	14.4825	+	7.37922i	1.58966	+	0.809974i	0.999997	+	0.00232773i	$0.000740939\pi$
$83$	14.4825	+	7.37922i	1.58966	+	0.809974i	0.589667	+	0.807647i	$0.299259\pi$
$84$	5.73880	−	4.01892i	0.626154	−	0.438501i
$85$	−8.83282	−	4.22106i	−0.958053	−	0.457838i
$86$	4.08417	+	8.19088i	0.440407	+	0.883245i
$87$	−0.132871	−	0.838917i	−0.0142453	−	0.0899414i
$88$	−9.43424	−	3.33977i	−1.00569	−	0.356020i
$89$	−3.49423	−	4.80940i	−0.370388	−	0.509795i	0.582618	−	0.812746i	$-0.302028\pi$
$89$	−3.49423	−	4.80940i	−0.370388	−	0.509795i	−0.953006	+	0.302951i	$0.902028\pi$
$90$	1.90132	+	2.52685i	0.200417	+	0.266353i
$91$	7.13192	−	9.81624i	0.747628	−	1.02902i
$92$	−0.112227	+	0.108391i	−0.0117005	+	0.0113006i
$93$	−9.16983e−5	0	9.16983e-5i	−9.50867e−6	0	9.50867e-6i
$94$	2.71033	+	18.1311i	0.279549	+	1.87008i
$95$	−4.37269	−	12.3772i	−0.448628	−	1.26987i
$96$	2.34673	+	5.14712i	0.239512	+	0.525326i
$97$	−1.72335	−	3.38227i	−0.174980	−	0.343417i	0.786815	−	0.617189i	$-0.211729\pi$
$97$	−1.72335	−	3.38227i	−0.174980	−	0.343417i	−0.961795	+	0.273772i	$0.911729\pi$
$98$	7.06970	+	2.36522i	0.714147	+	0.238924i
$99$	−3.53834			−0.355617
$100$	−8.28247	−	5.60363i	−0.828247	−	0.560363i
$101$	5.57248			0.554482			0.277241	−	0.960800i	$-0.410580\pi$
$101$	5.57248			0.554482			0.277241	+	0.960800i	$0.410580\pi$
$102$	−5.87159	−	1.96439i	−0.581374	−	0.194503i
$103$	−7.38093	−	14.4859i	−0.727265	−	1.42734i	−0.897083	−	0.441862i	$-0.854318\pi$
$103$	−7.38093	−	14.4859i	−0.727265	−	1.42734i	0.169818	−	0.985475i	$-0.445682\pi$
$104$	6.74442	+	7.10569i	0.661344	+	0.696771i
$105$	−2.23027	+	7.50885i	−0.217652	+	0.732789i
$106$	2.25066	+	15.0560i	0.218603	+	1.46237i
$107$	−0.755111	−	0.755111i	−0.0729993	−	0.0729993i	0.669664	−	0.742664i	$-0.266438\pi$
$107$	−0.755111	−	0.755111i	−0.0729993	−	0.0729993i	−0.742664	+	0.669664i	$0.766438\pi$
$108$	1.38941	+	1.43859i	0.133696	+	0.138428i
$109$	−4.88498	+	6.72359i	−0.467896	+	0.644003i	−0.976123	−	0.217220i	$-0.930301\pi$
$109$	−4.88498	+	6.72359i	−0.467896	+	0.644003i	0.508227	+	0.861223i	$0.330301\pi$
$110$	10.5822	−	3.63538i	1.00897	−	0.346620i
$111$	3.03730	+	4.18049i	0.288288	+	0.396794i
$112$	−6.79160	+	12.2563i	−0.641746	+	1.15811i
$113$	2.07827	+	13.1217i	0.195508	+	1.23439i	0.868858	+	0.495062i	$0.164855\pi$
$113$	2.07827	+	13.1217i	0.195508	+	1.23439i	−0.673350	+	0.739324i	$0.735145\pi$
$114$	−3.70466	−	7.42978i	−0.346973	−	0.695862i
$115$	0.0228970	−	0.172931i	0.00213516	−	0.0161259i
$116$	0.974456	+	1.39147i	0.0904760	+	0.129195i
$117$	3.08618	+	1.57249i	0.285318	+	0.145377i
$118$	−10.1342	+	7.22913i	−0.932924	+	0.665496i
$119$	−4.73924	−	14.5859i	−0.434445	−	1.33708i
$120$	−5.63338	−	2.87489i	−0.514255	−	0.262440i
$121$	−0.469662	+	1.44547i	−0.0426965	+	0.131406i
$122$	−4.29548	−	13.6219i	−0.388895	−	1.23327i
$123$	0.818118	−	5.16539i	0.0737672	−	0.465748i
$124$	0.000245237	0	8.44235e-5i	2.20230e−5	0	7.58145e-6i
$125$	11.1478	−	0.852457i	0.997089	−	0.0762460i
$126$	−0.817492	+	4.88615i	−0.0728280	+	0.435293i
$127$	−13.9231	−	2.20521i	−1.23548	−	0.195680i	−0.495677	−	0.868507i	$-0.665080\pi$
$127$	−13.9231	−	2.20521i	−1.23548	−	0.195680i	−0.739800	+	0.672827i	$0.765080\pi$
$128$	−8.73163	−	7.19434i	−0.771775	−	0.635896i
$129$	−6.15514	−	1.99993i	−0.541930	−	0.176084i
$130$	−10.8455	−	1.53205i	−0.951215	−	0.134370i
$131$	9.73405	−	3.16278i	0.850468	−	0.276334i	0.148826	−	0.988863i	$-0.452451\pi$
$131$	9.73405	−	3.16278i	0.850468	−	0.276334i	0.701642	+	0.712530i	$0.252451\pi$
$132$	6.36027	−	3.10264i	0.553591	−	0.270050i
$133$	9.33620	−	18.3233i	0.809551	−	1.58883i
$134$	9.13432	+	9.29453i	0.789085	+	0.802925i
$135$	−2.21672	−	0.293506i	−0.190785	−	0.0252609i
$136$	12.2769	−	1.61754i	1.05273	−	0.138703i
$137$	2.60954	−	0.413311i	0.222948	−	0.0353115i	−0.0439608	−	0.999033i	$-0.513998\pi$
$137$	2.60954	−	0.413311i	0.222948	−	0.0353115i	0.266909	+	0.963722i	$0.413998\pi$
$138$	0.000959045	−	0.110322i	8.16393e−5	−	0.00939120i
$139$	5.28116	−	3.83699i	0.447942	−	0.325449i	−0.340841	−	0.940121i	$-0.610712\pi$
$139$	5.28116	−	3.83699i	0.447942	−	0.325449i	0.788783	+	0.614672i	$0.210712\pi$
$140$	−2.57527	−	15.4530i	−0.217650	−	1.30602i
$141$	−10.4873	−	7.61949i	−0.883192	−	0.641677i
$142$	−1.76262	+	2.38221i	−0.147916	+	0.199911i
$143$	8.66614	−	8.66614i	0.724699	−	0.724699i
$144$	−3.75895	−	1.36757i	−0.313246	−	0.113965i
$145$	−1.82065	−	0.540766i	−0.151197	−	0.0449082i
$146$	8.32569	−	15.9948i	0.689039	−	1.32374i
$147$	−4.69684	+	2.39316i	−0.387388	+	0.197384i
$148$	−9.12536	−	4.85125i	−0.750100	−	0.398770i
$149$		−	1.66225i		−	0.136177i	−0.997679	−	0.0680885i	$-0.978310\pi$
$149$		−	1.66225i		−	0.136177i	0.997679	−	0.0680885i	$-0.0216900\pi$
$150$	6.93115	−	1.39972i	0.565926	−	0.114287i
$151$		−	14.2155i		−	1.15684i	−0.815738	−	0.578422i	$-0.803669\pi$
$151$		−	14.2155i		−	1.15684i	0.815738	−	0.578422i	$-0.196331\pi$
$152$	13.1741	+	10.1068i	1.06856	+	0.819766i
$153$	3.90086	−	1.98759i	0.315366	−	0.160687i
$154$	15.5488	+	8.09355i	1.25296	+	0.652197i
$155$	−0.000273414	0	9.65935e-5i	−2.19612e−5	0	7.75858e-6i
$156$	−6.92636	−	0.120433i	−0.554553	−	0.00964238i
$157$	−10.3354	+	10.3354i	−0.824857	+	0.824857i	−0.986800	−	0.161943i	$-0.948224\pi$
$157$	−10.3354	+	10.3354i	−0.824857	+	0.824857i	0.161943	+	0.986800i	$0.448224\pi$
$158$	−2.24085	−	1.65802i	−0.178272	−	0.131905i
$159$	−8.70868	−	6.32722i	−0.690643	−	0.501781i
$160$	12.6471	+	0.227985i	0.999838	+	0.0180238i
$161$	0.221089	−	0.160630i	0.0174242	−	0.0126594i
$162$	−1.41416	−	0.0122935i	−0.111107	−	0.000965872i
$163$	23.5826	−	3.73511i	1.84713	−	0.292556i	0.868117	−	0.496360i	$-0.165331\pi$
$163$	23.5826	−	3.73511i	1.84713	−	0.292556i	0.979012	+	0.203804i	$0.0653305\pi$
$164$	3.05875	+	10.0023i	0.238848	+	0.781050i
$165$	−3.41147	+	7.13871i	−0.265583	+	0.555748i
$166$	16.3948	−	16.1122i	1.27248	−	1.25055i
$167$	−3.90289	+	7.65985i	−0.302015	+	0.592737i	−0.991280	−	0.131772i	$-0.957933\pi$
$167$	−3.90289	+	7.65985i	−0.302015	+	0.592737i	0.689266	+	0.724509i	$0.257933\pi$
$168$	−2.81502	−	9.49983i	−0.217184	−	0.732928i
$169$	0.953668	−	0.309865i	0.0733591	−	0.0238358i
$170$	−9.62427	+	9.95215i	−0.738148	+	0.763295i
$171$	5.58320	+	1.81409i	0.426958	+	0.138727i
$172$	12.8177	−	1.80229i	0.977341	−	0.137423i
$173$	−24.3562	−	3.85764i	−1.85176	−	0.293291i	−0.871413	−	0.490551i	$-0.836796\pi$
$173$	−24.3562	−	3.85764i	−1.85176	−	0.293291i	−0.980351	+	0.197260i	$0.936796\pi$
$174$	−1.18473	−	0.198215i	−0.0898141	−	0.0150266i
$175$	12.9990	+	11.7392i	0.982634	+	0.887404i
$176$	−8.71218	+	11.1542i	−0.656705	+	0.840778i
$177$	1.37698	−	8.69394i	0.103501	−	0.653477i
$178$	−8.01794	+	2.52834i	−0.600970	+	0.189507i
$179$	−2.88996	+	8.89439i	−0.216006	+	0.664798i	0.783075	+	0.621928i	$0.213650\pi$
$179$	−2.88996	+	8.89439i	−0.216006	+	0.664798i	−0.999081	+	0.0428703i	$0.986350\pi$
$180$	4.24199	−	1.41618i	0.316179	−	0.105556i
$181$	−1.13761	−	3.50121i	−0.0845580	−	0.260243i	0.899834	−	0.436233i	$-0.143687\pi$
$181$	−1.13761	−	3.50121i	−0.0845580	−	0.260243i	−0.984392	+	0.175990i	$0.943687\pi$
$182$	−9.96500	−	13.9694i	−0.738655	−	1.03548i
$183$	8.99890	+	4.58517i	0.665218	+	0.338945i
$184$	0.0950131	+	0.199147i	0.00700446	+	0.0146813i
$185$	11.3627	−	2.09725i	0.835399	−	0.154193i
$186$	−0.000164125	0	8.18367e-5i	−1.20342e−5	0	6.00056e-6i
$187$	−2.42332	−	15.3003i	−0.177211	−	1.11887i
$188$	25.5325	+	4.50030i	1.86215	+	0.328218i
$189$	−2.05904	−	2.83403i	−0.149773	−	0.206145i
$190$	−18.5616	+	0.310882i	−1.34660	+	0.0225538i
$191$	0.778612	−	1.07167i	0.0563384	−	0.0775431i	−0.779918	−	0.625881i	$-0.784739\pi$
$191$	0.778612	−	1.07167i	0.0563384	−	0.0775431i	0.836257	+	0.548338i	$0.184739\pi$
$192$	7.95601	−	0.837836i	0.574175	−	0.0604656i
$193$	−8.28171	−	8.28171i	−0.596131	−	0.596131i	0.343150	−	0.939281i	$-0.388506\pi$
$193$	−8.28171	−	8.28171i	−0.596131	−	0.596131i	−0.939281	+	0.343150i	$0.888506\pi$
$194$	−5.30937	+	0.793674i	−0.381191	+	0.0569824i
$195$	6.14807	−	4.71036i	0.440273	−	0.337316i
$196$	6.34423	−	8.42025i	0.453159	−	0.601447i
$197$	7.57112	+	14.8592i	0.539420	+	1.05867i	0.986436	+	0.164146i	$0.0524867\pi$
$197$	7.57112	+	14.8592i	0.539420	+	1.05867i	−0.447016	+	0.894526i	$0.647513\pi$
$198$	−1.58762	+	4.74544i	−0.112827	+	0.337243i
$199$	−18.7284			−1.32762			−0.663811	−	0.747900i	$-0.731062\pi$
$199$	−18.7284			−1.32762			−0.663811	+	0.747900i	$0.731062\pi$
$200$	−11.2316	+	8.59371i	−0.794192	+	0.607667i
$201$	−9.21477			−0.649960
$202$	2.50032	−	7.47351i	0.175922	−	0.525835i
$203$	−1.35080	−	2.65110i	−0.0948079	−	0.186071i
$204$	−5.26906	+	6.99327i	−0.368908	+	0.489627i
$205$	−9.63254	−	6.63076i	−0.672766	−	0.463113i
$206$	−22.7395	+	3.39922i	−1.58433	+	0.236835i
$207$	0.0551629	+	0.0551629i	0.00383409	+	0.00383409i
$208$	12.5559	−	5.85699i	0.870598	−	0.406109i
$209$	12.2094	−	16.8048i	0.844544	−	1.16241i
$210$	9.06977	+	6.36027i	0.625874	+	0.438900i
$211$	9.53944	+	13.1299i	0.656722	+	0.903901i	0.999367	−	0.0355641i	$-0.0113228\pi$
$211$	9.53944	+	13.1299i	0.656722	+	0.903901i	−0.342645	+	0.939465i	$0.611323\pi$
$212$	21.2022	+	3.73705i	1.45617	+	0.256662i
$213$	−0.327799	−	2.06964i	−0.0224604	−	0.141810i
$214$	−1.35153	+	0.673903i	−0.0923884	+	0.0460671i
$215$	−9.96936	+	10.4900i	−0.679905	+	0.715409i
$216$	2.55277	−	1.21793i	0.173694	−	0.0828695i
$217$	−0.000404766	0	0.000206238i	−2.74773e−5	0	1.40004e-5i
$218$	6.82548	+	9.56829i	0.462280	+	0.648046i
$219$	3.94013	+	12.1265i	0.266249	+	0.819430i
$220$	−0.127447	−	15.8234i	−0.00859245	−	1.06682i
$221$	−4.68600	+	14.4220i	−0.315215	+	0.970131i
$222$	6.96946	−	2.19772i	0.467760	−	0.147501i
$223$	−2.09027	+	13.1975i	−0.139975	+	0.883768i	0.813340	+	0.581789i	$0.197647\pi$
$223$	−2.09027	+	13.1975i	−0.139975	+	0.883768i	−0.953315	+	0.301979i	$0.902353\pi$
$224$	13.3901	+	14.6078i	0.894666	+	0.976026i
$225$	−2.72940	+	4.18932i	−0.181960	+	0.279288i
$226$	18.5306	+	3.10032i	1.23264	+	0.206230i
$227$	21.8851	+	3.46626i	1.45256	+	0.230064i	0.832298	−	0.554328i	$-0.187025\pi$
$227$	21.8851	+	3.46626i	1.45256	+	0.230064i	0.620266	+	0.784392i	$0.287025\pi$
$228$	−11.6267	+	1.63482i	−0.769995	+	0.108269i
$229$	21.0179	+	6.82911i	1.38890	+	0.451281i	0.905584	−	0.424166i	$-0.139433\pi$
$229$	21.0179	+	6.82911i	1.38890	+	0.451281i	0.483314	+	0.875447i	$0.339433\pi$
$230$	−0.221652	−	0.108301i	−0.0146153	−	0.00714115i
$231$	−11.7883	+	3.83026i	−0.775616	+	0.252013i
$232$	2.30339	−	0.682549i	0.151225	−	0.0448116i
$233$	6.93889	−	13.6183i	0.454582	−	0.892167i	−0.544008	−	0.839080i	$-0.683094\pi$
$233$	6.93889	−	13.6183i	0.454582	−	0.892167i	0.998590	−	0.0530874i	$-0.0169062\pi$
$234$	3.49368	−	3.43346i	0.228389	−	0.224453i
$235$	−25.4838	+	13.8122i	−1.66238	+	0.901008i
$236$	5.14823	+	16.8350i	0.335121	+	1.09587i
$237$	1.94683	−	0.308347i	0.126460	−	0.0200293i
$238$	−21.6883	−	0.188540i	−1.40584	−	0.0122212i
$239$	−1.66547	+	1.21003i	−0.107730	+	0.0782704i	−0.640346	−	0.768087i	$-0.721209\pi$
$239$	−1.66547	+	1.21003i	−0.107730	+	0.0782704i	0.532616	+	0.846357i	$0.321209\pi$
$240$	−6.38330	+	6.26526i	−0.412040	+	0.404421i
$241$	16.0774	+	11.6809i	1.03564	+	0.752434i	0.969429	−	0.245371i	$-0.0789099\pi$
$241$	16.0774	+	11.6809i	1.03564	+	0.752434i	0.0662080	+	0.997806i	$0.478910\pi$
$242$	1.72786	+	1.27846i	0.111071	+	0.0821823i
$243$	0.707107	−	0.707107i	0.0453609	−	0.0453609i
$244$	−20.1964	−	0.351167i	−1.29294	−	0.0224812i
$245$	0.299834	+	11.7834i	0.0191557	+	0.752811i
$246$	−6.56047	−	3.41488i	−0.418280	−	0.217725i
$247$	−18.1175	+	9.23133i	−1.15279	+	0.587376i
$248$	0.000223260	0	0.000291019i	1.41770e−5	0	1.84797e-5i
$249$			16.2541i			1.03006i
$250$	3.85865	−	15.3333i	0.244042	−	0.969765i
$251$		−	25.9642i		−	1.63885i	−0.573188	−	0.819424i	$-0.694293\pi$
$251$		−	25.9642i		−	1.63885i	0.573188	−	0.819424i	$-0.305707\pi$
$252$	6.18625	+	3.28875i	0.389697	+	0.207172i
$253$	0.245948	−	0.125317i	0.0154626	−	0.00787859i
$254$	−9.20469	+	17.6835i	−0.577554	+	1.10956i
$255$	−0.249021	−	9.78642i	−0.0155943	−	0.612849i
$256$	−13.5665	+	8.48237i	−0.847905	+	0.530148i
$257$	−5.28943	+	5.28943i	−0.329946	+	0.329946i	−0.852566	−	0.522620i	$-0.824955\pi$
$257$	−5.28943	+	5.28943i	−0.329946	+	0.329946i	0.522620	+	0.852566i	$0.324955\pi$
$258$	−5.44395	+	7.35760i	−0.338926	+	0.458064i
$259$	14.6445	+	10.6398i	0.909963	+	0.661127i
$260$	−6.92100	+	13.8580i	−0.429222	+	0.859438i
$261$	0.687158	−	0.499250i	0.0425340	−	0.0309028i
$262$	0.125824	−	14.4739i	0.00777345	−	0.894201i
$263$	−13.9709	+	2.21277i	−0.861481	+	0.136445i	−0.571515	−	0.820592i	$-0.693644\pi$
$263$	−13.9709	+	2.21277i	−0.861481	+	0.136445i	−0.289966	+	0.957037i	$0.593644\pi$
$264$	−1.30730	−	9.92219i	−0.0804588	−	0.610668i
$265$	−21.1618	+	11.4696i	−1.29996	+	0.704575i
$266$	−20.3852	−	20.7427i	−1.24990	−	1.27182i
$267$	2.69886	−	5.29680i	0.165167	−	0.324159i
$268$	16.5638	−	8.08010i	1.01180	−	0.493570i
$269$	9.22474	−	2.99730i	0.562443	−	0.182749i	−0.0139774	−	0.999902i	$-0.504449\pi$
$269$	9.22474	−	2.99730i	0.562443	−	0.182749i	0.576420	+	0.817154i	$0.304449\pi$
$270$	−1.38826	+	2.84126i	−0.0844867	+	0.172913i
$271$	−11.2200	−	3.64559i	−0.681564	−	0.221454i	−0.0522842	−	0.998632i	$-0.516650\pi$
$271$	−11.2200	−	3.64559i	−0.681564	−	0.221454i	−0.629280	+	0.777179i	$0.716650\pi$
$272$	3.33916	−	17.1908i	0.202466	−	1.04235i
$273$	11.9842	+	1.89810i	0.725314	+	0.114879i
$274$	0.616568	−	3.68523i	0.0372483	−	0.222633i
$275$	11.1134	+	13.7655i	0.670163	+	0.830091i
$276$	−0.147527	−	0.0507866i	−0.00888010	−	0.00305699i
$277$	3.91891	−	24.7430i	0.235464	−	1.48666i	−0.532642	−	0.846341i	$-0.678801\pi$
$277$	3.91891	−	24.7430i	0.235464	−	1.48666i	0.768106	−	0.640322i	$-0.221199\pi$
$278$	−2.77635	−	8.80444i	−0.166515	−	0.528055i
$279$	4.00736e−5	0	0.000123334i	2.39914e−6	0	7.38381e-6i
$280$	−21.8803	−	3.47982i	−1.30760	−	0.207959i
$281$	4.75790	+	14.6433i	0.283832	+	0.873546i	0.986746	+	0.162271i	$0.0518820\pi$
$281$	4.75790	+	14.6433i	0.283832	+	0.873546i	−0.702914	+	0.711275i	$0.748118\pi$
$282$	−14.9244	+	10.6463i	−0.888737	+	0.633975i
$283$	13.9254	+	7.09534i	0.827778	+	0.421774i	0.815927	−	0.578156i	$-0.196227\pi$
$283$	13.9254	+	7.09534i	0.827778	+	0.421774i	0.0118519	+	0.999930i	$0.496227\pi$
$284$	2.40402	+	3.43281i	0.142652	+	0.203700i
$285$	9.04300	−	9.51522i	0.535661	−	0.563633i
$286$	−7.73415	−	15.5110i	−0.457330	−	0.917184i
$287$	−2.86591	−	18.0946i	−0.169169	−	1.06809i
$288$	−3.52073	+	4.42769i	−0.207461	+	0.260904i
$289$	1.27385	+	1.75330i	0.0749323	+	0.103135i
$290$	−1.54216	+	2.19912i	−0.0905585	+	0.129137i
$291$	2.23124	−	3.07103i	0.130797	−	0.180027i
$292$	−17.7157	−	18.3427i	−1.03674	−	1.07343i
$293$	12.3367	+	12.3367i	0.720717	+	0.720717i	0.968751	−	0.248035i	$-0.0797847\pi$
$293$	12.3367	+	12.3367i	0.720717	+	0.720717i	−0.248035	+	0.968751i	$0.579785\pi$
$294$	1.10215	+	7.37294i	0.0642785	+	0.429998i
$295$	−16.2127	−	11.1603i	−0.943938	−	0.649779i
$296$	−10.6007	+	10.0617i	−0.616154	+	0.584826i
$297$	−1.60637	−	3.15269i	−0.0932112	−	0.182937i
$298$	−2.22933	−	0.745839i	−0.129141	−	0.0432053i
$299$	−0.270211			−0.0156267
$300$	1.23271	−	9.92373i	0.0711706	−	0.572947i
$301$	−22.6714			−1.30676
$302$	−19.0651	−	6.37838i	−1.09707	−	0.367035i
$303$	2.52985	+	4.96511i	0.145336	+	0.285238i
$304$	19.4658	−	13.1336i	1.11644	−	0.753266i
$305$	17.9270	−	13.7348i	1.02649	−	0.786451i
$306$	−0.915365	−	6.12344i	−0.0523279	−	0.350054i
$307$	21.4864	+	21.4864i	1.22629	+	1.22629i	0.965356	+	0.260937i	$0.0840315\pi$
$307$	21.4864	+	21.4864i	1.22629	+	1.22629i	0.260937	+	0.965356i	$0.415969\pi$
$308$	17.8313	−	17.2218i	1.01603	−	0.981302i
$309$	9.55615	−	13.1529i	0.543631	−	0.748243i
$310$	6.86744e−6	0	0.000410030i	3.90044e−7	0	2.32881e-5i
$311$	7.60468	+	10.4670i	0.431222	+	0.593526i	0.968233	−	0.250049i	$-0.0804467\pi$
$311$	7.60468	+	10.4670i	0.431222	+	0.593526i	−0.537011	+	0.843575i	$0.680447\pi$
$312$	−3.26932	+	9.23524i	−0.185089	+	0.522842i
$313$	0.282072	+	1.78093i	0.0159436	+	0.100664i	0.994377	−	0.105899i	$-0.0337721\pi$
$313$	0.282072	+	1.78093i	0.0159436	+	0.100664i	−0.978433	+	0.206563i	$0.933772\pi$
$314$	9.22392	+	18.4988i	0.520536	+	1.04395i
$315$	−7.70295	+	1.42176i	−0.434012	+	0.0801073i
$316$	−3.22910	+	2.26136i	−0.181651	+	0.127212i
$317$	0.555856	+	0.283223i	0.0312200	+	0.0159074i	0.469531	−	0.882916i	$-0.344423\pi$
$317$	0.555856	+	0.283223i	0.0312200	+	0.0159074i	−0.438311	+	0.898823i	$0.644423\pi$
$318$	−12.3932	+	8.84065i	−0.694979	+	0.495759i
$319$	−0.928712	−	2.85828i	−0.0519979	−	0.160033i
$320$	5.98039	−	16.8593i	0.334314	−	0.942462i
$321$	0.329996	−	1.01562i	0.0184186	−	0.0566865i
$322$	−0.116228	−	0.368586i	−0.00647715	−	0.0205405i
$323$	−4.02058	+	25.3849i	−0.223711	+	1.41246i
$324$	−0.651009	+	1.89108i	−0.0361672	+	0.105060i
$325$	−3.57565	−	16.9454i	−0.198341	−	0.939961i
$326$	5.57196	−	33.3036i	0.308602	−	1.84452i
$327$	−8.20850	−	1.30010i	−0.453931	−	0.0718956i
$328$	14.7870	+	0.385716i	0.816477	+	0.0212976i
$329$	−43.1877	−	14.0325i	−2.38102	−	0.773639i
$330$	8.04336	+	7.77837i	0.442772	+	0.428185i
$331$	−10.1209	+	3.28849i	−0.556297	+	0.180752i	−0.573654	−	0.819098i	$-0.694475\pi$
$331$	−10.1209	+	3.28849i	−0.556297	+	0.180752i	0.0173575	+	0.999849i	$0.494475\pi$
$332$	−14.2526	−	29.2173i	−0.782216	−	1.60351i
$333$	−2.34594	+	4.60416i	−0.128557	+	0.252306i
$334$	8.52179	+	8.67126i	0.466292	+	0.474470i
$335$	−8.88438	+	18.5911i	−0.485405	+	1.01574i
$336$	−14.0037	−	0.487132i	−0.763967	−	0.0265752i
$337$	−16.9393	+	2.68292i	−0.922741	+	0.146148i	−0.599689	−	0.800233i	$-0.704709\pi$
$337$	−16.9393	+	2.68292i	−0.922741	+	0.146148i	−0.323052	+	0.946381i	$0.604709\pi$
$338$	0.0123273	−	1.41804i	0.000670516	−	0.0771314i
$339$	−10.7480	+	7.80888i	−0.583752	+	0.424120i
$340$	9.02897	+	17.3730i	0.489665	+	0.942184i
$341$	−0.000371222	0	0.000269708i	−2.01028e−5	0	1.46055e-5i
$342$	4.93810	−	6.67393i	0.267022	−	0.360885i
$343$	4.28185	−	4.28185i	0.231198	−	0.231198i
$344$	3.33406	−	17.9991i	0.179760	−	0.970447i
$345$	0.164478	−	0.0581077i	0.00885519	−	0.00312841i
$346$	−16.1021	+	30.9343i	−0.865652	+	1.66304i
$347$	−4.15803	+	2.11862i	−0.223215	+	0.113734i	−0.562022	−	0.827122i	$-0.689977\pi$
$347$	−4.15803	+	2.11862i	−0.223215	+	0.113734i	0.338807	+	0.940856i	$0.389977\pi$
$348$	−0.797413	+	1.49996i	−0.0427458	+	0.0804063i
$349$			27.0365i			1.44723i	0.690203	+	0.723616i	$0.257521\pi$
$349$			27.0365i			1.44723i	−0.690203	+	0.723616i	$0.742479\pi$
$350$	21.5766	−	12.1663i	1.15332	−	0.650316i
$351$			3.46371i			0.184879i
$352$	11.0503	+	16.6891i	0.588984	+	0.889532i
$353$	−10.5828	+	5.39221i	−0.563266	+	0.286998i	−0.712348	−	0.701826i	$-0.752368\pi$
$353$	−10.5828	+	5.39221i	−0.563266	+	0.286998i	0.149082	+	0.988825i	$0.452368\pi$
$354$	−11.0420	−	5.74764i	−0.586876	−	0.305483i
$355$	−4.49161	−	1.33409i	−0.238390	−	0.0708062i
$356$	−0.206699	+	11.8877i	−0.0109550	+	0.630046i
$357$	10.8445	−	10.8445i	0.573954	−	0.573954i
$358$	10.6320	+	7.86670i	0.561918	+	0.415768i
$359$	12.3154	+	8.94766i	0.649981	+	0.472239i	0.863265	−	0.504751i	$-0.168416\pi$
$359$	12.3154	+	8.94766i	0.649981	+	0.472239i	−0.213283	+	0.976990i	$0.568416\pi$
$360$	0.00404033	−	6.32455i	0.000212944	−	0.333333i
$361$	−12.5099	+	9.08895i	−0.658414	+	0.478366i
$362$	−5.20608	−	0.0452573i	−0.273625	−	0.00237867i
$363$	−1.50115	+	0.237758i	−0.0787897	+	0.0124791i
$364$	−23.2063	+	7.09657i	−1.21634	+	0.371962i
$365$	28.2643	+	3.74235i	1.47942	+	0.195884i
$366$	10.1871	−	10.0115i	0.532489	−	0.523311i
$367$	10.8842	−	21.3614i	0.568149	−	1.11505i	−0.410948	−	0.911659i	$-0.634802\pi$
$367$	10.8842	−	21.3614i	0.568149	−	1.11505i	0.979097	−	0.203396i	$-0.0651977\pi$
$368$	0.309717	−	0.0380709i	0.0161451	−	0.00198458i
$369$	4.97382	−	1.61609i	0.258926	−	0.0841303i
$370$	2.28561	−	16.1800i	0.118823	−	0.841159i
$371$	−35.8631	−	11.6526i	−1.86192	−	0.604974i
$372$	3.61135e−5	0	0.000256835i	1.87240e−6	0	1.33163e-5i
$373$	21.4232	+	3.39311i	1.10925	+	0.175689i	0.684068	−	0.729418i	$-0.260209\pi$
$373$	21.4232	+	3.39311i	1.10925	+	0.175689i	0.425185	+	0.905106i	$0.360209\pi$
$374$	−21.6072	−	3.61506i	−1.11728	−	0.186930i
$375$	5.82054	+	9.54575i	0.300571	+	0.492940i
$376$	17.4918	−	32.2236i	0.902070	−	1.66181i
$377$	−0.460227	+	2.90576i	−0.0237029	+	0.149654i
$378$	−4.72473	+	1.48988i	−0.243014	+	0.0766309i
$379$	−1.83578	+	5.64994i	−0.0942976	+	0.290218i	−0.987070	−	0.160290i	$-0.948757\pi$
$379$	−1.83578	+	5.64994i	−0.0942976	+	0.290218i	0.892772	+	0.450508i	$0.148757\pi$
$380$	−7.91150	+	25.0334i	−0.405851	+	1.28418i
$381$	−4.35611	−	13.4067i	−0.223170	−	0.686848i
$382$	−1.08791	−	1.52508i	−0.0556622	−	0.0780299i
$383$	4.12547	+	2.10203i	0.210802	+	0.107409i	0.556204	−	0.831046i	$-0.312257\pi$
$383$	4.12547	+	2.10203i	0.210802	+	0.107409i	−0.345402	+	0.938455i	$0.612257\pi$
$384$	2.44613	−	11.0461i	0.124829	−	0.563694i
$385$	−3.63800	+	27.4763i	−0.185410	+	1.40032i
$386$	−14.8229	+	7.39106i	−0.754467	+	0.376195i
$387$	−1.01243	−	6.39222i	−0.0514646	−	0.324935i
$388$	−1.31784	+	7.47676i	−0.0669030	+	0.379575i
$389$	−5.61572	−	7.72937i	−0.284728	−	0.391895i	0.642565	−	0.766231i	$-0.277870\pi$
$389$	−5.61572	−	7.72937i	−0.284728	−	0.391895i	−0.927293	+	0.374337i	$0.877870\pi$
$390$	−3.55870	−	10.3590i	−0.180202	−	0.524547i
$391$	−0.200752	+	0.276312i	−0.0101525	+	0.0139737i
$392$	−8.44620	−	12.2866i	−0.426597	−	0.620569i
$393$	7.23723	+	7.23723i	0.365070	+	0.365070i
$394$	23.3254	−	3.48681i	1.17512	−	0.175663i
$395$	1.25492	−	4.22507i	0.0631421	−	0.212586i
$396$	5.65198	+	4.25847i	0.284023	+	0.213996i
$397$	9.59631	+	18.8338i	0.481625	+	0.945242i	0.996142	+	0.0877616i	$0.0279714\pi$
$397$	9.59631	+	18.8338i	0.481625	+	0.945242i	−0.514517	+	0.857480i	$0.672029\pi$
$398$	−8.40328	+	25.1176i	−0.421218	+	1.25903i
$399$	20.5648			1.02953
$400$	6.48592	+	18.9191i	0.324296	+	0.945956i
$401$	16.7730			0.837604			0.418802	−	0.908078i	$-0.362450\pi$
$401$	16.7730			0.837604			0.418802	+	0.908078i	$0.362450\pi$
$402$	−4.13459	+	12.3584i	−0.206215	+	0.616379i
$403$	0.000203922	0	0.000400219i	1.01581e−5	0	1.99363e-5i
$404$	−8.90121	−	6.70660i	−0.442852	−	0.333666i
$405$	−0.744855	−	2.10836i	−0.0370121	−	0.104765i
$406$	−4.16162	+	0.622101i	−0.206537	+	0.0308743i
$407$	12.9287	+	12.9287i	0.640851	+	0.640851i
$408$	7.01482	+	10.2044i	0.347285	+	0.505194i
$409$	−6.44004	+	8.86395i	−0.318439	+	0.438294i	−0.937990	−	0.346663i	$-0.887315\pi$
$409$	−6.44004	+	8.86395i	−0.318439	+	0.438294i	0.619551	+	0.784957i	$0.287315\pi$
$410$	−13.2149	+	9.94349i	−0.652636	+	0.491074i
$411$	1.55297	+	2.13748i	0.0766024	+	0.105434i
$412$	−5.64415	+	32.0222i	−0.278067	+	1.57762i
$413$	−4.82365	−	30.4553i	−0.237356	−	1.49861i
$414$	0.0987327	−	0.0492305i	0.00485245	−	0.00241954i
$415$	32.7932	+	15.6713i	1.60975	+	0.769275i
$416$	−2.22135	−	19.4674i	−0.108910	−	0.954465i
$417$	5.81638	+	2.96359i	0.284829	+	0.145128i
$418$	−17.0595	−	23.9148i	−0.834407	−	1.16971i
$419$	5.83515	+	17.9587i	0.285066	+	0.877342i	0.986379	+	0.164489i	$0.0525974\pi$
$419$	5.83515	+	17.9587i	0.285066	+	0.877342i	−0.701313	+	0.712853i	$0.747403\pi$
$420$	12.5996	−	9.31010i	0.614797	−	0.454286i
$421$	4.18623	−	12.8839i	0.204024	−	0.627922i	−0.795728	−	0.605654i	$-0.792911\pi$
$421$	4.18623	−	12.8839i	0.204024	−	0.627922i	0.999752	−	0.0222675i	$-0.00708854\pi$
$422$	21.8894	−	6.90252i	1.06556	−	0.336009i
$423$	2.02787	−	12.8035i	0.0985983	−	0.622525i
$424$	14.5252	−	26.7585i	0.705405	−	1.29951i
$425$	−19.9845	−	8.93312i	−0.969390	−	0.433320i
$426$	−2.92278	−	0.489004i	−0.141609	−	0.0236923i
$427$	34.9442	+	5.53462i	1.69107	+	0.267839i
$428$	0.297385	+	2.11497i	0.0143746	+	0.102231i
$429$	11.6559	+	3.78724i	0.562754	+	0.182850i
$430$	9.59541	+	18.0771i	0.462732	+	0.871757i
$431$	−8.92558	+	2.90010i	−0.429930	+	0.139693i	−0.515985	−	0.856598i	$-0.672574\pi$
$431$	−8.92558	+	2.90010i	−0.429930	+	0.139693i	0.0860549	+	0.996290i	$0.472574\pi$
$432$	−0.488012	−	3.97012i	−0.0234795	−	0.191012i
$433$	−13.2636	+	26.0312i	−0.637406	+	1.25098i	0.315848	+	0.948810i	$0.397711\pi$
$433$	−13.2636	+	26.0312i	−0.637406	+	1.25098i	−0.953254	+	0.302170i	$0.902289\pi$
$434$	−0.000458211	0	0.000450313i	−2.19948e−5	0	2.16157e-5i
$435$	−0.344731	−	1.86771i	−0.0165286	−	0.0895499i
$436$	15.8950	−	4.86077i	0.761233	−	0.232788i
$437$	−0.452334	+	0.0716426i	−0.0216380	+	0.00342713i
$438$	18.0313	+	0.156749i	0.861568	+	0.00748976i
$439$	8.37262	−	6.08307i	0.399603	−	0.290329i	−0.369776	−	0.929121i	$-0.620566\pi$
$439$	8.37262	−	6.08307i	0.399603	−	0.290329i	0.769379	+	0.638792i	$0.220566\pi$
$440$	−21.2787	−	6.92891i	−1.01442	−	0.330323i
$441$	−4.26464	−	3.09844i	−0.203078	−	0.147545i
$442$	17.2395	+	12.7557i	0.820000	+	0.606725i
$443$	−1.22412	+	1.22412i	−0.0581596	+	0.0581596i	−0.735588	−	0.677429i	$-0.763094\pi$
$443$	−1.22412	+	1.22412i	−0.0581596	+	0.0581596i	0.677429	+	0.735588i	$0.263094\pi$
$444$	0.179670	−	10.3332i	0.00852675	−	0.490391i
$445$	−8.08437	−	10.5519i	−0.383236	−	0.500208i
$446$	16.7619	+	8.72495i	0.793697	+	0.413138i
$447$	1.48108	−	0.754647i	0.0700526	−	0.0356936i
$448$	25.5993	−	11.4037i	1.20945	−	0.538776i
$449$		−	36.0614i		−	1.70184i	−0.525292	−	0.850922i	$-0.676044\pi$
$449$		−	36.0614i		−	1.70184i	0.525292	−	0.850922i	$-0.323956\pi$
$450$	4.39384	+	5.54024i	0.207127	+	0.261169i
$451$		−	18.5047i		−	0.871354i
$452$	12.4725	−	23.4612i	0.586658	−	1.10352i
$453$	12.6661	−	6.45371i	0.595107	−	0.303222i
$454$	14.4684	−	27.7958i	0.679036	−	1.30452i
$455$	15.3840	−	22.3483i	0.721211	−	1.04771i
$456$	−3.02425	+	16.3266i	−0.141624	+	0.764564i
$457$	−2.22184	+	2.22184i	−0.103933	+	0.103933i	−0.757161	−	0.653228i	$-0.773414\pi$
$457$	−2.22184	+	2.22184i	−0.103933	+	0.103933i	0.653228	+	0.757161i	$0.273414\pi$
$458$	18.5894	−	25.1239i	0.868624	−	1.17396i
$459$	3.54191	+	2.57335i	0.165322	+	0.120113i
$460$	−0.244701	+	0.248675i	−0.0114092	+	0.0115945i
$461$	21.0778	−	15.3139i	0.981692	−	0.713241i	0.0236057	−	0.999721i	$-0.492485\pi$
$461$	21.0778	−	15.3139i	0.981692	−	0.713241i	0.958086	+	0.286481i	$0.0924854\pi$
$462$	−0.152378	+	17.5285i	−0.00708928	+	0.815500i
$463$	−25.1759	+	3.98747i	−1.17002	+	0.185314i	−0.711053	−	0.703138i	$-0.751782\pi$
$463$	−25.1759	+	3.98747i	−1.17002	+	0.185314i	−0.458970	+	0.888452i	$0.651782\pi$
$464$	0.118113	−	3.39544i	0.00548328	−	0.157630i
$465$	−0.000210193	0	0.000199761i	−9.74747e−6	0	9.26372e-6i
$466$	−15.1508	−	15.4165i	−0.701847	−	0.714156i
$467$	17.3078	−	33.9686i	0.800911	−	1.57188i	−0.0192980	−	0.999814i	$-0.506143\pi$
$467$	17.3078	−	33.9686i	0.800911	−	1.57188i	0.820209	−	0.572063i	$-0.193857\pi$
$468$	−3.03720	−	6.22611i	−0.140394	−	0.287802i
$469$	−30.6999	+	9.97502i	−1.41759	+	0.460603i
$470$	7.08981	+	40.3750i	0.327028	+	1.86236i
$471$	−13.9011	−	4.51675i	−0.640530	−	0.208121i
$472$	24.8882	+	0.649204i	1.14557	+	0.0298820i
$473$	−22.6179	−	3.58232i	−1.03997	−	0.164715i
$474$	0.459985	−	2.74933i	0.0211278	−	0.126281i
$475$	−10.4785	−	27.4186i	−0.480785	−	1.25805i
$476$	−9.98419	+	29.0026i	−0.457625	+	1.32933i
$477$	1.68394	−	10.6320i	0.0771024	−	0.486805i
$478$	0.875550	+	2.77656i	0.0400467	+	0.126997i
$479$	2.02143	−	6.22131i	0.0923613	−	0.284259i	−0.894196	−	0.447676i	$-0.852252\pi$
$479$	2.02143	−	6.22131i	0.0923613	−	0.284259i	0.986557	+	0.163417i	$0.0522517\pi$
$480$	5.53851	+	11.3721i	0.252797	+	0.519064i
$481$	−5.53086	−	17.0222i	−0.252186	−	0.776147i
$482$	22.8796	−	16.3210i	1.04214	−	0.743403i
$483$	0.243495	+	0.124067i	0.0110794	+	0.00564523i
$484$	2.48987	−	1.74368i	0.113176	−	0.0792580i
$485$	−4.04466	−	7.46251i	−0.183659	−	0.338855i
$486$	−0.631062	−	1.26561i	−0.0286255	−	0.0574091i
$487$	−1.93534	−	12.2192i	−0.0876986	−	0.553707i	−0.991942	−	0.126690i	$-0.959565\pi$
$487$	−1.93534	−	12.2192i	−0.0876986	−	0.553707i	0.904244	−	0.427017i	$-0.140435\pi$
$488$	−9.53290	+	26.9287i	−0.431534	+	1.21901i
$489$	14.0343	+	19.3165i	0.634651	+	0.873523i
$490$	15.9377	+	4.88497i	0.719994	+	0.220680i
$491$	1.51867	−	2.09027i	0.0685365	−	0.0943323i	−0.773373	−	0.633952i	$-0.781432\pi$
$491$	1.51867	−	2.09027i	0.0685365	−	0.0943323i	0.841909	+	0.539619i	$0.181432\pi$
$492$	−7.52349	+	7.26633i	−0.339185	+	0.327591i
$493$	2.62944	+	2.62944i	0.118424	+	0.118424i
$494$	4.25141	+	28.4403i	0.191280	+	1.27959i
$495$	−7.90941	+	0.201259i	−0.355502	+	0.00904592i
$496$	−0.000290125	0	0.000430002i	−1.30270e−5	0	1.93077e-5i
$497$	−3.33249	−	6.54038i	−0.149483	−	0.293376i
$498$	21.7992	+	7.29308i	0.976844	+	0.326811i
$499$	−1.41851			−0.0635014			−0.0317507	−	0.999496i	$-0.510108\pi$
$499$	−1.41851			−0.0635014			−0.0317507	+	0.999496i	$0.510108\pi$
$500$	−18.8329	−	12.0549i	−0.842233	−	0.539114i
$501$	−8.59685			−0.384079
$502$	−34.8219	−	11.6499i	−1.55418	−	0.519962i
$503$	−5.08096	−	9.97194i	−0.226549	−	0.444627i	0.749552	−	0.661945i	$-0.230269\pi$
$503$	−5.08096	−	9.97194i	−0.226549	−	0.444627i	−0.976101	+	0.217319i	$0.930269\pi$
$504$	7.18641	−	6.82103i	0.320108	−	0.303833i
$505$	12.4564	−	0.316960i	0.554303	−	0.0141045i
$506$	−0.0577134	−	0.386080i	−0.00256567	−	0.0171634i
$507$	0.709048	+	0.709048i	0.0314899	+	0.0314899i
$508$	19.5861	+	20.2793i	0.868993	+	0.899747i
$509$	−6.17501	+	8.49917i	−0.273702	+	0.376719i	−0.923635	−	0.383273i	$-0.874797\pi$
$509$	−6.17501	+	8.49917i	−0.273702	+	0.376719i	0.649933	+	0.759992i	$0.274797\pi$
$510$	−13.2368	−	4.05711i	−0.586134	−	0.179652i
$511$	26.2539	+	36.1353i	1.16140	+	1.59853i
$512$	5.28894	+	22.0006i	0.233740	+	0.972299i
$513$	0.918352	+	5.79825i	0.0405462	+	0.255999i
$514$	4.72059	+	9.46723i	0.208216	+	0.417582i
$515$	−17.3229	−	31.9611i	−0.763337	−	1.40838i
$516$	7.42497	+	10.6024i	0.326866	+	0.466746i
$517$	−40.8684	−	20.8235i	−1.79739	−	0.915816i
$518$	20.8404	−	14.8664i	0.915676	−	0.653192i
$519$	−7.62028	−	23.4528i	−0.334493	−	1.02946i
$520$	15.4803	+	15.5001i	0.678854	+	0.679722i
$521$	5.86783	−	18.0593i	0.257074	−	0.791193i	−0.736340	−	0.676612i	$-0.763447\pi$
$521$	5.86783	−	18.0593i	0.257074	−	0.791193i	0.993414	−	0.114581i	$-0.0365526\pi$
$522$	−0.361245	−	1.14559i	−0.0158113	−	0.0501411i
$523$	−0.798016	+	5.03848i	−0.0348948	+	0.220317i	−0.998973	−	0.0452999i	$-0.985576\pi$
$523$	−0.798016	+	5.03848i	−0.0348948	+	0.220317i	0.964079	+	0.265617i	$0.0855757\pi$
$524$	−19.3552	−	6.66307i	−0.845535	−	0.291077i
$525$	−4.55832	+	16.9117i	−0.198941	+	0.738088i
$526$	−3.30096	+	19.7298i	−0.143929	+	0.860262i
$527$	0.000560758	0	8.88153e-5i	2.44270e−5	0	3.86886e-6i
$528$	−13.8937	−	2.69872i	−0.604645	−	0.117447i
$529$	21.8685	+	7.10551i	0.950805	+	0.308935i
$530$	5.88737	+	33.5274i	0.255731	+	1.45634i
$531$	8.37150	−	2.72006i	0.363292	−	0.118041i
$532$	−36.9657	+	18.0325i	−1.60267	+	0.781807i
$533$	−8.22377	+	16.1401i	−0.356211	+	0.699104i
$534$	−5.89284	−	5.99619i	−0.255008	−	0.259481i
$535$	−1.73088	−	1.64498i	−0.0748326	−	0.0711188i
$536$	−3.40456	−	25.8400i	−0.147054	−	1.11612i
$537$	−9.23698	+	1.46299i	−0.398605	+	0.0631328i
$538$	0.119241	−	13.7166i	0.00514084	−	0.591365i
$539$	−15.0897	+	10.9633i	−0.649961	+	0.472224i
$540$	3.18764	+	3.13671i	0.137174	+	0.134982i
$541$	3.67152	+	2.66752i	0.157851	+	0.114685i	0.663907	−	0.747815i	$-0.268897\pi$
$541$	3.67152	+	2.66752i	0.157851	+	0.114685i	−0.506056	+	0.862501i	$0.668897\pi$
$542$	−9.92357	+	13.4119i	−0.426254	+	0.576090i
$543$	2.60314	−	2.60314i	0.111711	−	0.111711i
$544$	−21.5572	−	12.1917i	−0.924258	−	0.522714i
$545$	−10.5372	+	15.3074i	−0.451363	+	0.655697i
$546$	7.92283	−	15.2209i	0.339066	−	0.651393i
$547$	−10.6451	+	5.42393i	−0.455150	+	0.231910i	−0.666507	−	0.745498i	$-0.732212\pi$
$547$	−10.6451	+	5.42393i	−0.455150	+	0.231910i	0.211358	+	0.977409i	$0.432212\pi$
$548$	−4.66579	−	2.48044i	−0.199313	−	0.105959i
$549$			10.0997i			0.431045i
$550$	23.4480	−	8.72824i	0.999828	−	0.372173i
$551$			4.98627i			0.212422i
$552$	−0.134306	+	0.175068i	−0.00571646	+	0.00745140i
$553$	6.15226	−	3.13474i	0.261621	−	0.133302i
$554$	−31.4256	−	16.3578i	−1.33515	−	0.694976i
$555$	7.02720	+	9.17207i	0.298288	+	0.389333i
$556$	−13.0538	−	0.226975i	−0.553603	−	0.00962587i
$557$	10.4828	−	10.4828i	0.444172	−	0.444172i	−0.449239	−	0.893412i	$-0.648305\pi$
$557$	10.4828	−	10.4828i	0.444172	−	0.444172i	0.893412	+	0.449239i	$0.148305\pi$
$558$	−0.000147428	0	0.000109083i	−6.24114e−6	0	4.61787e-6i
$559$	18.1355	+	13.1762i	0.767051	+	0.557295i
$560$	−14.4844	+	27.7833i	−0.612079	+	1.17406i
$561$	12.5325	−	9.10537i	0.529121	−	0.384429i
$562$	21.7737	+	0.189282i	0.918466	+	0.00798439i
$563$	−8.04485	+	1.27418i	−0.339050	+	0.0537002i	−0.323638	−	0.946181i	$-0.604906\pi$
$563$	−8.04485	+	1.27418i	−0.339050	+	0.0537002i	−0.0154120	+	0.999881i	$0.504906\pi$
$564$	7.58173	+	24.7927i	0.319248	+	1.04396i
$565$	5.39201	+	29.2133i	0.226844	+	1.22901i
$566$	15.7641	−	15.4924i	0.662614	−	0.651193i
$567$	1.59035	−	3.12124i	0.0667885	−	0.131080i
$568$	5.68256	−	1.68388i	0.238435	−	0.0706539i
$569$	25.0837	−	8.15020i	1.05157	−	0.341674i	0.268283	−	0.963340i	$-0.413544\pi$
$569$	25.0837	−	8.15020i	1.05157	−	0.341674i	0.783283	+	0.621666i	$0.213544\pi$
$570$	−8.70380	−	16.3974i	−0.364562	−	0.686811i
$571$	−32.3724	−	10.5184i	−1.35474	−	0.440182i	−0.460457	−	0.887682i	$-0.652314\pi$
$571$	−32.3724	−	10.5184i	−1.35474	−	0.440182i	−0.894284	+	0.447500i	$0.852314\pi$
$572$	−24.2728	+	3.41298i	−1.01490	+	0.142704i
$573$	1.30835	+	0.207222i	0.0546569	+	0.00865680i
$574$	−25.5535	−	4.27530i	−1.06658	−	0.178448i
$575$	0.0413464	−	0.387863i	0.00172427	−	0.0161750i
$576$	4.35847	+	6.70848i	0.181603	+	0.279520i
$577$	1.79773	−	11.3504i	0.0748405	−	0.472524i	−0.921594	−	0.388155i	$-0.873113\pi$
$577$	1.79773	−	11.3504i	0.0748405	−	0.472524i	0.996435	−	0.0843691i	$-0.0268875\pi$
$578$	2.92300	−	0.921727i	0.121581	−	0.0383388i
$579$	3.61924	−	11.1389i	0.150411	−	0.462916i
$580$	2.25739	+	3.05498i	0.0937330	+	0.126851i
$581$	17.5951	+	54.1523i	0.729969	+	2.24661i
$582$	−3.11757	−	4.37036i	−0.129228	−	0.181157i
$583$	−33.9371	−	17.2918i	−1.40553	−	0.716154i
$584$	−32.5492	+	15.5292i	−1.34689	+	0.642603i
$585$	6.98813	+	3.33951i	0.288923	+	0.138072i
$586$	22.0807	−	11.0099i	0.912144	−	0.454817i
$587$	−4.04749	−	25.5549i	−0.167058	−	1.05476i	−0.918632	−	0.395114i	$-0.870705\pi$
$587$	−4.04749	−	25.5549i	−0.167058	−	1.05476i	0.751574	−	0.659649i	$-0.229295\pi$
$588$	10.3827	+	1.83003i	0.428176	+	0.0754692i
$589$	0.000447478	0	0.000615901i	1.84380e−5	0	2.53777e-5i
$590$	−22.2421	+	16.7360i	−0.915694	+	0.689011i
$591$	−9.80239	+	13.4918i	−0.403217	+	0.554980i
$592$	8.73782	+	18.7317i	0.359122	+	0.769869i
$593$	−20.9734	−	20.9734i	−0.861274	−	0.861274i	0.130212	−	0.991486i	$-0.458434\pi$
$593$	−20.9734	−	20.9734i	−0.861274	−	0.861274i	−0.991486	+	0.130212i	$0.958434\pi$
$594$	−4.94898	+	0.739801i	−0.203059	+	0.0303544i
$595$	−11.4235	−	32.3349i	−0.468316	−	1.32560i
$596$	−2.00056	+	2.65520i	−0.0819461	+	0.108761i
$597$	−8.50252	−	16.6871i	−0.347985	−	0.682959i
$598$	−0.121241	+	0.362393i	−0.00495793	+	0.0148193i
$599$	3.33851			0.136408			0.0682039	−	0.997671i	$-0.478273\pi$
$599$	3.33851			0.136408			0.0682039	+	0.997671i	$0.478273\pi$
$600$	−12.7561	−	6.10594i	−0.520765	−	0.249274i
$601$	−10.9587			−0.447013			−0.223506	−	0.974702i	$-0.571750\pi$
$601$	−10.9587			−0.447013			−0.223506	+	0.974702i	$0.571750\pi$
$602$	−10.1725	+	30.4057i	−0.414599	+	1.23924i
$603$	−4.18342	−	8.21042i	−0.170362	−	0.334354i
$604$	−17.1087	+	22.7072i	−0.696143	+	0.923943i
$605$	−0.967638	+	3.25784i	−0.0393401	+	0.132450i
$606$	7.79407	−	1.16510i	0.316613	−	0.0473290i
$607$	−5.16417	−	5.16417i	−0.209607	−	0.209607i	0.594493	−	0.804101i	$-0.297353\pi$
$607$	−5.16417	−	5.16417i	−0.209607	−	0.209607i	−0.804101	+	0.594493i	$0.797353\pi$
$608$	−8.88003	−	31.9994i	−0.360133	−	1.29775i
$609$	1.74890	−	2.40715i	0.0708689	−	0.0975427i
$610$	−10.3767	−	30.2054i	−0.420140	−	1.22298i
$611$	26.3917	+	36.3250i	1.06769	+	1.46955i
$612$	−8.62315	−	1.51989i	−0.348570	−	0.0614381i
$613$	2.23054	+	14.0831i	0.0900905	+	0.568809i	0.990901	+	0.134596i	$0.0429736\pi$
$613$	2.23054	+	14.0831i	0.0900905	+	0.568809i	−0.900810	+	0.434213i	$0.857026\pi$
$614$	38.4572	−	19.1757i	1.55200	−	0.773866i
$615$	1.53497	−	11.5930i	0.0618960	−	0.467473i
$616$	−15.0962	−	31.6416i	−0.608243	−	1.27488i
$617$	5.96590	+	3.03978i	0.240178	+	0.122377i	0.569937	−	0.821688i	$-0.306968\pi$
$617$	5.96590	+	3.03978i	0.240178	+	0.122377i	−0.329759	+	0.944065i	$0.606968\pi$
$618$	−13.3522	−	18.7178i	−0.537106	−	0.752941i
$619$	3.98349	+	12.2599i	0.160110	+	0.492768i	0.998643	−	0.0520830i	$-0.0165860\pi$
$619$	3.98349	+	12.2599i	0.160110	+	0.492768i	−0.838533	+	0.544851i	$0.816586\pi$
$620$	0.000552992	0	0.000174767i	2.22087e−5	0	7.01879e-6i
$621$	−0.0241071	+	0.0741939i	−0.000967383	+	0.00297730i
$622$	17.4499	−	5.50257i	0.699676	−	0.220633i
$623$	3.25771	−	20.5684i	0.130517	−	0.824054i
$624$	10.9189	+	8.52841i	0.437106	+	0.341410i
$625$	24.8707	−	2.53962i	0.994827	−	0.101585i
$626$	2.51506	+	0.420789i	0.100522	+	0.0168181i
$627$	20.5162	+	3.24944i	0.819337	+	0.129770i
$628$	28.9483	−	4.07040i	1.15516	−	0.162427i
$629$	−21.5157	−	6.99087i	−0.857886	−	0.278744i
$630$	−1.54945	+	10.9687i	−0.0617317	+	0.437005i
$631$	−6.89142	+	2.23916i	−0.274343	+	0.0891394i	−0.442957	−	0.896543i	$-0.646071\pi$
$631$	−6.89142	+	2.23916i	−0.274343	+	0.0891394i	0.168614	+	0.985682i	$0.446071\pi$
$632$	1.58395	+	5.34535i	0.0630063	+	0.212627i
$633$	−7.36803	+	14.4606i	−0.292853	+	0.574756i
$634$	0.629251	−	0.618405i	0.0249908	−	0.0245600i
$635$	−31.2484	−	4.13745i	−1.24005	−	0.164190i
$636$	6.29587	+	20.5879i	0.249647	+	0.816363i
$637$	18.0337	−	2.85626i	0.714522	−	0.113169i
$638$	−4.25008	−	0.0369467i	−0.168262	−	0.00146273i
$639$	1.69525	−	1.23167i	0.0670629	−	0.0487241i
$640$	−19.9274	−	15.5852i	−0.787700	−	0.616059i
$641$	32.0344	+	23.2743i	1.26528	+	0.919281i	0.999004	−	0.0446150i	$-0.0142061\pi$
$641$	32.0344	+	23.2743i	1.26528	+	0.919281i	0.266278	+	0.963896i	$0.414206\pi$
$642$	−1.21403	−	0.898273i	−0.0479140	−	0.0354520i
$643$	8.11866	−	8.11866i	0.320169	−	0.320169i	−0.528663	−	0.848832i	$-0.677306\pi$
$643$	8.11866	−	8.11866i	0.320169	−	0.320169i	0.848832	+	0.528663i	$0.177306\pi$
$644$	−0.546479	−	0.00950198i	−0.0215343	−	0.000374431i
$645$	−13.8726	−	4.12042i	−0.546234	−	0.162242i
$646$	32.2409	+	16.7822i	1.26850	+	0.660286i
$647$	−27.6446	+	14.0856i	−1.08682	+	0.553763i	−0.903194	−	0.429233i	$-0.858784\pi$
$647$	−27.6446	+	14.0856i	−1.08682	+	0.553763i	−0.183628	+	0.982996i	$0.558784\pi$
$648$	2.24412	+	1.72161i	0.0881572	+	0.0676312i
$649$		−	31.1456i		−	1.22257i
$650$	−24.3306	−	2.80777i	−0.954325	−	0.110130i
$651$		0	0.000454279i		0	1.78046e-5i
$652$	−42.1649	−	22.4158i	−1.65131	−	0.877872i
$653$	−14.2708	+	7.27133i	−0.558459	+	0.284549i	−0.710351	−	0.703848i	$-0.751464\pi$
$653$	−14.2708	+	7.27133i	−0.558459	+	0.284549i	0.151891	+	0.988397i	$0.451464\pi$
$654$	−5.42670	+	10.4255i	−0.212201	+	0.407668i
$655$	21.5791	−	7.62358i	0.843164	−	0.297878i
$656$	7.15211	−	19.6585i	0.279243	−	0.767536i
$657$	−9.01598	+	9.01598i	−0.351747	+	0.351747i
$658$	−38.1977	+	51.6248i	−1.48910	+	2.01254i
$659$	−11.4410	−	8.31238i	−0.445679	−	0.323804i	0.342209	−	0.939624i	$-0.388825\pi$
$659$	−11.4410	−	8.31238i	−0.445679	−	0.323804i	−0.787887	+	0.615820i	$0.788825\pi$
$660$	14.0409	−	7.29724i	0.546542	−	0.284045i
$661$	−30.5608	+	22.2037i	−1.18868	+	0.863623i	−0.993124	−	0.117070i	$-0.962650\pi$
$661$	−30.5608	+	22.2037i	−1.18868	+	0.863623i	−0.195552	+	0.980693i	$0.562650\pi$
$662$	−0.130825	+	15.0492i	−0.00508466	+	0.584903i
$663$	−14.9775	+	2.37221i	−0.581679	+	0.0921289i
$664$	−45.5797	+	6.00537i	−1.76883	+	0.233053i
$665$	19.8274	−	41.4900i	0.768874	−	1.60891i
$666$	5.12225	+	5.21209i	0.198483	+	0.201964i
$667$	−0.0300821	+	0.0590394i	−0.00116478	+	0.00228602i
$668$	15.4531	−	7.53826i	0.597898	−	0.291664i
$669$	−12.7080	+	4.12908i	−0.491319	+	0.159639i
$670$	20.9470	+	20.2569i	0.809254	+	0.782593i
$671$	33.9871	+	11.0431i	1.31206	+	0.426314i
$672$	−6.93667	+	18.5625i	−0.267588	+	0.716064i
$673$	6.11086	+	0.967866i	0.235556	+	0.0373085i	0.273096	−	0.961987i	$-0.411952\pi$
$673$	6.11086	+	0.967866i	0.235556	+	0.0373085i	−0.0375400	+	0.999295i	$0.511952\pi$
$674$	−4.00232	+	23.9219i	−0.154163	+	0.921435i
$675$	−4.97183	−	0.530000i	−0.191366	−	0.0203997i
$676$	−1.89627	−	0.652796i	−0.0729336	−	0.0251075i
$677$	−4.28502	+	27.0545i	−0.164687	+	1.03979i	0.757441	+	0.652904i	$0.226449\pi$
$677$	−4.28502	+	27.0545i	−0.164687	+	1.03979i	−0.922127	+	0.386886i	$0.873551\pi$
$678$	5.65033	+	17.9184i	0.216999	+	0.688153i
$679$	4.10919	−	12.6468i	0.157696	−	0.485339i
$680$	27.3510	−	4.31406i	1.04886	−	0.165437i
$681$	6.84716	+	21.0734i	0.262384	+	0.807535i
$682$	−0.000528283	0	0.000376847i	−2.02290e−5	0	1.44302e-5i
$683$	−38.8244	−	19.7820i	−1.48558	−	0.756939i	−0.492052	−	0.870566i	$-0.663753\pi$
$683$	−38.8244	−	19.7820i	−1.48558	−	0.756939i	−0.993523	+	0.113627i	$0.963753\pi$
$684$	−6.73504	−	9.61725i	−0.257521	−	0.367725i
$685$	5.80972	−	1.07232i	0.221978	−	0.0409713i
$686$	−3.82136	−	7.66381i	−0.145900	−	0.292606i
$687$	3.45712	+	21.8274i	0.131897	+	0.832767i
$688$	−22.6435	−	12.5475i	−0.863275	−	0.478369i
$689$	21.9156	+	30.1643i	0.834919	+	1.14917i
$690$	−0.00413124	−	0.246661i	−0.000157274	−	0.00939024i
$691$	−24.1230	+	33.2025i	−0.917682	+	1.26308i	0.0467925	+	0.998905i	$0.485100\pi$
$691$	−24.1230	+	33.2025i	−0.917682	+	1.26308i	−0.964474	+	0.264176i	$0.914900\pi$
$692$	34.2626	+	35.4752i	1.30247	+	1.34856i
$693$	−8.76459	−	8.76459i	−0.332939	−	0.332939i
$694$	0.975713	+	6.52715i	0.0370376	+	0.247767i
$695$	11.5870	−	8.87738i	0.439519	−	0.336738i
$696$	1.65387	+	1.74247i	0.0626900	+	0.0660481i
$697$	10.3946	+	20.4006i	0.393725	+	0.772729i
$698$	36.2600	+	12.1311i	1.37246	+	0.459167i
$699$	15.2842			0.578103
$700$	−6.63556	−	34.3963i	−0.250801	−	1.30006i
$701$	−17.6319			−0.665949			−0.332974	−	0.942936i	$-0.608052\pi$
$701$	−17.6319			−0.665949			−0.332974	+	0.942936i	$0.608052\pi$
$702$	4.64534	+	1.55413i	0.175327	+	0.0586570i
$703$	−13.7719	−	27.0288i	−0.519416	−	1.01941i
$704$	27.3407	−	7.33185i	1.03044	−	0.276329i
$705$	−23.8762	−	16.4357i	−0.899229	−	0.619003i
$706$	2.48333	+	16.6125i	0.0934615	+	0.625222i
$707$	13.8032	+	13.8032i	0.519123	+	0.519123i
$708$	−12.6629	+	12.2301i	−0.475900	+	0.459634i
$709$	4.19370	−	5.77214i	0.157498	−	0.216777i	−0.722974	−	0.690875i	$-0.757226\pi$
$709$	4.19370	−	5.77214i	0.157498	−	0.216777i	0.880472	+	0.474098i	$0.157226\pi$
$710$	−3.80456	+	5.42531i	−0.142783	+	0.203608i
$711$	1.15858	+	1.59465i	0.0434501	+	0.0598040i
$712$	15.8504	+	5.61112i	0.594019	+	0.210285i
$713$	1.58260e−6	0	9.99213e-6i	5.92688e−8	0	3.74208e-7i
$714$	−9.67827	−	19.4100i	−0.362200	−	0.726400i
$715$	18.8789	−	19.8647i	0.706030	−	0.742899i
$716$	15.3209	−	10.7293i	0.572568	−	0.400974i
$717$	−1.83425	−	0.934598i	−0.0685014	−	0.0349032i
$718$	17.5259	−	12.5020i	0.654062	−	0.466571i
$719$	4.73921	+	14.5858i	0.176743	+	0.543958i	0.999709	−	0.0241324i	$-0.00768234\pi$
$719$	4.73921	+	14.5858i	0.176743	+	0.543958i	−0.822966	+	0.568091i	$0.807682\pi$
$720$	−8.48035	−	2.84319i	−0.316044	−	0.105959i
$721$	17.5992	−	54.1648i	0.655429	−	2.01720i
$722$	6.57655	+	20.8557i	0.244754	+	0.776169i
$723$	−3.10879	+	19.6281i	−0.115617	+	0.729977i
$724$	−2.39662	+	6.96181i	−0.0890696	+	0.258734i
$725$	−4.10053	−	1.10524i	−0.152290	−	0.0410476i
$726$	−0.354682	+	2.11994i	−0.0131635	+	0.0786783i
$727$	2.15735	+	0.341691i	0.0800117	+	0.0126726i	0.196312	−	0.980541i	$-0.437103\pi$
$727$	2.15735	+	0.341691i	0.0800117	+	0.0126726i	−0.116300	+	0.993214i	$0.537103\pi$
$728$	−0.894895	+	34.3072i	−0.0331670	+	1.27151i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	17.7010	−	36.2275i	0.655144	−	1.34084i
$731$	26.9474	−	8.75575i	0.996687	−	0.323843i
$732$	−8.85606	−	18.1545i	−0.327329	−	0.671010i
$733$	6.40810	−	12.5766i	0.236689	−	0.464528i	−0.741857	−	0.670558i	$-0.766055\pi$
$733$	6.40810	−	12.5766i	0.236689	−	0.464528i	0.978546	+	0.206031i	$0.0660546\pi$
$734$	−23.7651	−	24.1819i	−0.877186	−	0.892571i
$735$	−10.3629	+	5.61668i	−0.382242	+	0.207175i
$736$	0.0879088	−	0.432459i	0.00324036	−	0.0159406i
$737$	−32.2036	+	5.10055i	−1.18623	+	0.187881i
$738$	0.0642925	−	7.39574i	0.00236664	−	0.272241i
$739$	−14.6312	+	10.6302i	−0.538218	+	0.391039i	−0.823423	−	0.567428i	$-0.807938\pi$
$739$	−14.6312	+	10.6302i	−0.538218	+	0.391039i	0.285205	+	0.958467i	$0.407938\pi$
$740$	−20.6743	−	10.3252i	−0.760001	−	0.379561i
$741$	−16.4504	−	11.9519i	−0.604319	−	0.439063i
$742$	−31.7193	+	42.8692i	−1.16445	+	1.57378i
$743$	9.25021	−	9.25021i	0.339357	−	0.339357i	−0.516768	−	0.856125i	$-0.672865\pi$
$743$	9.25021	−	9.25021i	0.339357	−	0.339357i	0.856125	+	0.516768i	$0.172865\pi$
$744$	0.000360658	0	6.68063e-5i	1.32224e−5	0	2.44924e-6i
$745$	−0.0945482	−	3.71571i	−0.00346398	−	0.136133i
$746$	14.1631	−	27.2093i	0.518547	−	0.996202i
$747$	−14.4825	+	7.37922i	−0.529888	+	0.269991i
$748$	−14.5433	+	27.3564i	−0.531756	+	1.00025i
$749$		−	3.74087i		−	0.136688i
$750$	15.4139	−	3.52310i	0.562835	−	0.128645i
$751$			25.6382i			0.935550i	0.883848	+	0.467775i	$0.154944\pi$
$751$			25.6382i			0.935550i	−0.883848	+	0.467775i	$0.845056\pi$
$752$	−35.3682	−	37.9175i	−1.28975	−	1.38271i
$753$	23.1343	−	11.7875i	0.843061	−	0.429561i
$754$	3.69055	+	1.92102i	0.134402	+	0.0699595i
$755$	−0.808572	−	31.7766i	−0.0294270	−	1.15647i
$756$	−0.121801	+	7.00505i	−0.00442987	+	0.254771i
$757$	24.1240	−	24.1240i	0.876803	−	0.876803i	−0.116400	−	0.993202i	$-0.537135\pi$
$757$	24.1240	−	24.1240i	0.876803	−	0.876803i	0.993202	+	0.116400i	$0.0371353\pi$
$758$	6.75371	+	4.99713i	0.245306	+	0.181504i
$759$	0.223316	+	0.162248i	0.00810585	+	0.00588924i
$760$	30.0236	+	21.8427i	1.08907	+	0.792319i
$761$	10.8763	−	7.90212i	0.394267	−	0.286452i	−0.372935	−	0.927858i	$-0.621648\pi$
$761$	10.8763	−	7.90212i	0.394267	−	0.286452i	0.767202	+	0.641406i	$0.221648\pi$
$762$	−19.9350	−	0.173298i	−0.722167	−	0.00627793i
$763$	−28.7548	+	4.55431i	−1.04099	+	0.164877i
$764$	−2.53349	+	0.774753i	−0.0916586	+	0.0280296i
$765$	8.60671	−	4.66482i	0.311176	−	0.168657i
$766$	4.67020	−	4.58970i	0.168741	−	0.165833i
$767$	−13.8415	+	27.1656i	−0.499789	+	0.980891i
$768$	−13.7169	−	8.23691i	−0.494966	−	0.297224i
$769$	37.1381	−	12.0669i	1.33924	−	0.435144i	0.450178	−	0.892939i	$-0.351361\pi$
$769$	37.1381	−	12.0669i	1.33924	−	0.435144i	0.889058	+	0.457795i	$0.151361\pi$
$770$	35.2174	+	17.2075i	1.26915	+	0.620114i
$771$	−7.11427	−	2.31157i	−0.256214	−	0.0832490i
$772$	3.26158	+	23.1960i	0.117387	+	0.834844i
$773$	−19.5920	−	3.10306i	−0.704674	−	0.111609i	−0.206195	−	0.978511i	$-0.566108\pi$
$773$	−19.5920	−	3.10306i	−0.704674	−	0.111609i	−0.498479	+	0.866902i	$0.666108\pi$
$774$	−9.02717	−	1.51032i	−0.324475	−	0.0542873i
$775$	−0.000605681	0	0.000231471i	−2.17567e−5	0	8.31470e-6i
$776$	9.43614	+	5.12217i	0.338738	+	0.183875i
$777$	−2.83171	+	17.8787i	−0.101587	+	0.641395i
$778$	−12.8860	+	4.06340i	−0.461984	+	0.145680i
$779$	−9.48730	+	29.1989i	−0.339918	+	1.04616i
$780$	−15.4897	+	0.124758i	−0.554619	+	0.00446706i
$781$	−2.29117	−	7.05150i	−0.0819845	−	0.252322i
$782$	0.280499	+	0.393217i	0.0100306	+	0.0140614i
$783$	0.756798	+	0.385608i	0.0270458	+	0.0137805i
$784$	−20.2679	+	5.81469i	−0.723854	+	0.207667i
$785$	−22.5154	+	23.6911i	−0.803608	+	0.845573i
$786$	12.9535	−	6.45891i	0.462035	−	0.230382i
$787$	−2.45311	−	15.4883i	−0.0874439	−	0.552099i	−0.992049	−	0.125849i	$-0.959834\pi$
$787$	−2.45311	−	15.4883i	−0.0874439	−	0.552099i	0.904606	−	0.426250i	$-0.140166\pi$
$788$	5.78959	−	32.8473i	0.206246	−	1.17014i
$789$	−8.31423	−	11.4436i	−0.295995	−	0.407402i
$790$	−5.10337	−	3.57879i	−0.181570	−	0.127328i
$791$	−27.3549	+	37.6508i	−0.972629	+	1.33871i
$792$	8.24723	−	5.66939i	0.293053	−	0.201453i
$793$	−24.7363	−	24.7363i	−0.878411	−	0.878411i
$794$	29.5647	−	4.41949i	1.04921	−	0.156842i
$795$	−19.8268	−	13.6482i	−0.703183	−	0.484051i
$796$	29.9159	+	22.5401i	1.06034	+	0.798912i
$797$	8.18837	+	16.0706i	0.290047	+	0.569249i	0.989347	−	0.145580i	$-0.0465047\pi$
$797$	8.18837	+	16.0706i	0.290047	+	0.569249i	−0.699300	+	0.714829i	$0.746505\pi$
$798$	9.22723	−	27.5804i	0.326640	−	0.976334i
$799$	56.7527			2.00777
$800$	28.2835	−	0.209734i	0.999973	−	0.00741522i
$801$	5.94474			0.210047
$802$	7.52590	−	22.4951i	0.265749	−	0.794328i
$803$	20.4821	+	40.1984i	0.722797	+	1.41857i
$804$	14.7192	+	11.0902i	0.519107	+	0.391121i
$805$	0.485073	−	0.371639i	0.0170966	−	0.0130986i
$806$	0.000628251	0	9.39144e-5i	2.21292e−5	0	3.30799e-6i
$807$	6.85856	+	6.85856i	0.241433	+	0.241433i
$808$	−12.9884	+	8.92864i	−0.456932	+	0.314108i
$809$	−19.5336	+	26.8857i	−0.686765	+	0.945251i	−0.999990	−	0.00442775i	$-0.998591\pi$
$809$	−19.5336	+	26.8857i	−0.686765	+	0.945251i	0.313225	+	0.949679i	$0.398591\pi$
$810$	−3.16183	+	0.0529564i	−0.111096	+	0.00186070i
$811$	−6.93113	−	9.53989i	−0.243385	−	0.334991i	0.669796	−	0.742545i	$-0.266382\pi$
$811$	−6.93113	−	9.53989i	−0.243385	−	0.334991i	−0.913181	+	0.407555i	$0.866382\pi$
$812$	−1.03295	+	5.86047i	−0.0362495	+	0.205662i
$813$	−1.84551	−	11.6521i	−0.0647250	−	0.408658i
$814$	23.1402	−	11.5383i	0.811065	−	0.404416i
$815$	52.5027	−	9.69062i	1.83909	−	0.339448i
$816$	16.8331	−	4.82927i	0.589276	−	0.169058i
$817$	33.8524	+	17.2487i	1.18435	+	0.603454i
$818$	8.99827	+	12.6142i	0.314617	+	0.441046i
$819$	3.74947	+	11.5397i	0.131017	+	0.403229i
$820$	7.40629	+	22.1846i	0.258639	+	0.774721i
$821$	−10.4922	+	32.2916i	−0.366180	+	1.12699i	0.583059	+	0.812430i	$0.301856\pi$
$821$	−10.4922	+	32.2916i	−0.366180	+	1.12699i	−0.949239	+	0.314556i	$0.898144\pi$
$822$	3.56348	−	1.12369i	0.124291	−	0.0391933i
$823$	−1.35624	+	8.56297i	−0.0472756	+	0.298486i	−0.999985	−	0.00539505i	$-0.998283\pi$
$823$	−1.35624	+	8.56297i	−0.0472756	+	0.298486i	0.952710	+	0.303881i	$0.0982827\pi$
$824$	40.4140	+	21.9377i	1.40789	+	0.764237i
$825$	−7.21977	+	16.1515i	−0.251360	+	0.562323i
$826$	−43.0094	−	7.19582i	−1.49649	−	0.250375i
$827$	6.75206	+	1.06942i	0.234792	+	0.0371874i	0.272722	−	0.962093i	$-0.412076\pi$
$827$	6.75206	+	1.06942i	0.234792	+	0.0371874i	−0.0379294	+	0.999280i	$0.512076\pi$
$828$	−0.0217248	−	0.154504i	−0.000754988	−	0.00536940i
$829$	−1.59946	−	0.519697i	−0.0555516	−	0.0180498i	0.281109	−	0.959676i	$-0.409298\pi$
$829$	−1.59946	−	0.519697i	−0.0555516	−	0.0180498i	−0.336661	+	0.941626i	$0.609298\pi$
$830$	35.7316	−	36.9489i	1.24026	−	1.28251i
$831$	23.8253	−	7.74132i	0.826491	−	0.268543i
$832$	−27.1053	−	5.75568i	−0.939707	−	0.199542i
$833$	10.4773	−	20.5629i	0.363018	−	0.712463i
$834$	6.58437	−	6.47088i	0.227998	−	0.224068i
$835$	−8.28861	+	17.3444i	−0.286839	+	0.600228i
$836$	−39.7277	+	12.1489i	−1.37401	+	0.420179i
$837$	0.000128084	0	2.02866e-5i	4.42724e−6	0	7.01206e-7i
$838$	26.7035	+	0.232138i	0.922457	+	0.00801908i
$839$	32.2588	−	23.4374i	1.11370	−	0.809148i	0.130455	−	0.991454i	$-0.458356\pi$
$839$	32.2588	−	23.4374i	1.11370	−	0.809148i	0.983242	+	0.182307i	$0.0583563\pi$
$840$	−6.83289	−	21.0753i	−0.235757	−	0.727166i
$841$	−22.8778	−	16.6217i	−0.788891	−	0.573163i
$842$	−15.4009	−	11.3952i	−0.530748	−	0.392706i
$843$	−10.8872	+	10.8872i	−0.374976	+	0.374976i
$844$	0.564300	−	32.4540i	0.0194240	−	1.11711i
$845$	2.11415	−	0.746900i	0.0727290	−	0.0256941i
$846$	−16.2614	−	8.46447i	−0.559079	−	0.291014i
$847$	−4.74385	+	2.41711i	−0.163000	+	0.0830529i
$848$	−29.3698	−	31.4867i	−1.00856	−	1.08126i
$849$			15.6288i			0.536380i
$850$	−20.9475	+	22.7939i	−0.718493	+	0.781825i
$851$		−	0.403117i		−	0.0138187i
$852$	−1.96725	+	3.70046i	−0.0673969	+	0.126776i
$853$	−11.5438	+	5.88186i	−0.395252	+	0.201391i	−0.640309	−	0.768118i	$-0.721194\pi$
$853$	−11.5438	+	5.88186i	−0.395252	+	0.201391i	0.245056	+	0.969509i	$0.421194\pi$
$854$	23.1019	−	44.3820i	0.790531	−	1.51872i
$855$	12.5836	+	3.73755i	0.430349	+	0.127821i
$856$	2.96992	+	0.550132i	0.101510	+	0.0188031i
$857$	−11.9042	+	11.9042i	−0.406640	+	0.406640i	−0.880565	−	0.473925i	$-0.842837\pi$
$857$	−11.9042	+	11.9042i	−0.406640	+	0.406640i	0.473925	+	0.880565i	$0.342837\pi$
$858$	10.3092	−	13.9330i	0.351949	−	0.475665i
$859$	−28.2976	−	20.5594i	−0.965502	−	0.701478i	−0.0110802	−	0.999939i	$-0.503527\pi$
$859$	−28.2976	−	20.5594i	−0.965502	−	0.701478i	−0.954422	+	0.298460i	$0.903527\pi$
$860$	28.5495	−	4.75781i	0.973529	−	0.162240i
$861$	14.8213	−	10.7683i	0.505110	−	0.366984i
$862$	−0.115374	+	13.2718i	−0.00392965	+	0.452038i
$863$	−27.6579	+	4.38058i	−0.941485	+	0.149117i	−0.608266	−	0.793733i	$-0.708135\pi$
$863$	−27.6579	+	4.38058i	−0.941485	+	0.149117i	−0.333219	+	0.942850i	$0.608135\pi$
$864$	−5.54348	−	1.12686i	−0.188593	−	0.0383366i
$865$	−54.6638	−	7.23778i	−1.85863	−	0.246092i
$866$	28.9604	+	29.4684i	0.984116	+	1.00138i
$867$	−0.983889	+	1.93099i	−0.0334146	+	0.0655799i
$868$	0.000398341	0	0.000816580i	1.35206e−5	0	2.77165e-5i
$869$	6.63305	−	2.15521i	0.225011	−	0.0731105i
$870$	−2.65955	−	0.375691i	−0.0901673	−	0.0127371i
$871$	30.3551	+	9.86297i	1.02854	+	0.334194i
$872$	0.612954	−	23.4985i	0.0207573	−	0.795761i
$873$	3.74927	+	0.593826i	0.126894	+	0.0200980i
$874$	−0.106875	+	0.638791i	−0.00361510	+	0.0216074i
$875$	29.7250	+	25.5019i	1.00489	+	0.862121i
$876$	8.30070	−	24.1123i	0.280455	−	0.814678i
$877$	−0.453223	+	2.86154i	−0.0153043	+	0.0966273i	−0.994158	−	0.107934i	$-0.965577\pi$
$877$	−0.453223	+	2.86154i	−0.0153043	+	0.0966273i	0.978854	+	0.204561i	$0.0655766\pi$
$878$	−4.40156	−	13.9583i	−0.148546	−	0.471071i
$879$	−5.39133	+	16.5928i	−0.181845	+	0.559661i
$880$	−18.8403	+	25.4290i	−0.635106	+	0.857211i
$881$	−13.8508	−	42.6283i	−0.466645	−	1.43619i	−0.856902	−	0.515479i	$-0.827614\pi$
$881$	−13.8508	−	42.6283i	−0.466645	−	1.43619i	0.390257	−	0.920706i	$-0.372386\pi$
$882$	−6.06897	+	4.32926i	−0.204353	+	0.145774i
$883$	24.6083	+	12.5385i	0.828134	+	0.421955i	0.816057	−	0.577972i	$-0.196156\pi$
$883$	24.6083	+	12.5385i	0.828134	+	0.421955i	0.0120772	+	0.999927i	$0.496156\pi$
$884$	24.8424	−	17.3974i	0.835542	−	0.585137i
$885$	2.58353	−	19.5123i	0.0868444	−	0.655898i
$886$	1.09247	+	2.19097i	0.0367023	+	0.0736072i
$887$	−5.07182	−	32.0222i	−0.170295	−	1.07520i	−0.913709	−	0.406369i	$-0.866795\pi$
$887$	−5.07182	−	32.0222i	−0.170295	−	1.07520i	0.743414	−	0.668831i	$-0.233205\pi$
$888$	−13.7777	−	4.87737i	−0.462349	−	0.163674i
$889$	−29.0257	−	39.9504i	−0.973489	−	1.33989i
$890$	−17.7790	+	6.10778i	−0.595955	+	0.204733i
$891$	2.07978	−	2.86258i	0.0696754	−	0.0959000i
$892$	19.2223	−	18.5653i	0.643612	−	0.621612i
$893$	53.8107	+	53.8107i	1.80071	+	1.80071i
$894$	−0.347546	−	2.32495i	−0.0116237	−	0.0777579i
$895$	−5.95415	+	20.0464i	−0.199025	+	0.670077i
$896$	−3.80791	−	39.4492i	−0.127213	−	1.31790i
$897$	−0.122673	−	0.240760i	−0.00409594	−	0.00803873i
$898$	−48.3637	−	16.1805i	−1.61392	−	0.539949i
$899$	0.000110148	0		3.67363e−6	0
$900$	9.40175	−	3.40693i	0.313392	−	0.113564i
$901$	47.1274			1.57004
$902$	−24.8176	−	8.30292i	−0.826335	−	0.276457i
$903$	−10.2926	−	20.2004i	−0.342516	−	0.672226i
$904$	−25.8686	−	27.2543i	−0.860378	−	0.906466i
$905$	−2.74210	−	7.76170i	−0.0911506	−	0.258008i
$906$	−2.97220	−	19.8829i	−0.0987447	−	0.660564i
$907$	11.7557	+	11.7557i	0.390343	+	0.390343i	0.874810	−	0.484467i	$-0.160986\pi$
$907$	11.7557	+	11.7557i	0.390343	+	0.390343i	−0.484467	+	0.874810i	$0.660986\pi$
$908$	−30.7865	−	31.8760i	−1.02169	−	1.05784i
$909$	−3.27542	+	4.50823i	−0.108639	+	0.149529i
$910$	−23.0698	−	30.6597i	−0.764756	−	1.01636i
$911$	9.75815	+	13.4309i	0.323302	+	0.444987i	0.939472	−	0.342626i	$-0.111316\pi$
$911$	9.75815	+	13.4309i	0.323302	+	0.444987i	−0.616170	+	0.787613i	$0.711316\pi$
$912$	20.5394	+	11.3816i	0.680129	+	0.376882i
$913$	8.99696	+	56.8046i	0.297756	+	1.87996i
$914$	1.98290	+	3.97674i	0.0655884	+	0.131539i
$915$	20.3764	+	9.73758i	0.673624	+	0.321914i
$916$	−25.3539	−	36.2040i	−0.837717	−	1.19621i
$917$	31.9459	+	16.2772i	1.05495	+	0.537522i
$918$	5.04046	−	3.59558i	0.166360	−	0.118672i
$919$	6.92595	+	21.3159i	0.228466	+	0.703146i	0.997921	+	0.0644452i	$0.0205278\pi$
$919$	6.92595	+	21.3159i	0.228466	+	0.703146i	−0.769455	+	0.638701i	$0.779472\pi$
$920$	0.223714	+	0.439758i	0.00737564	+	0.0144984i
$921$	−9.38990	+	28.8991i	−0.309408	+	0.952259i
$922$	−11.0808	−	35.1397i	−0.364927	−	1.15726i
$923$	−1.13540	+	7.16863i	−0.0373721	+	0.235958i
$924$	23.4399	+	8.06925i	0.771118	+	0.265459i
$925$	25.2802	−	5.33438i	0.831207	−	0.175393i
$926$	−5.94842	+	35.5537i	−0.195477	+	1.16837i
$927$	16.0577	+	2.54330i	0.527405	+	0.0835328i
$928$	−4.50079	−	1.68191i	−0.147746	−	0.0552115i
$929$	8.61163	+	2.79809i	0.282539	+	0.0918023i	0.446858	−	0.894605i	$-0.352543\pi$
$929$	8.61163	+	2.79809i	0.282539	+	0.0918023i	−0.164320	+	0.986407i	$0.552543\pi$
$930$	−0.000362221	0	0.000192269i	−1.18777e−5	0	6.30473e-6i
$931$	29.4312	−	9.56277i	0.964568	−	0.313407i
$932$	−27.4738	+	13.4022i	−0.899936	+	0.439003i
$933$	−5.87367	+	11.5277i	−0.192295	+	0.377401i
$934$	−37.7910	−	38.4538i	−1.23656	−	1.25825i
$935$	−6.28724	−	34.0635i	−0.205615	−	1.11400i
$936$	−9.71290	+	1.27973i	−0.317476	+	0.0418291i
$937$	50.3586	−	7.97602i	1.64514	−	0.260565i	0.735980	−	0.677004i	$-0.236722\pi$
$937$	50.3586	−	7.97602i	1.64514	−	0.260565i	0.909164	+	0.416438i	$0.136722\pi$
$938$	−0.396833	+	45.6489i	−0.0129571	+	1.49049i
$939$	−1.45876	+	1.05985i	−0.0476050	+	0.0345870i
$940$	57.3300	+	8.60744i	1.86990	+	0.280744i
$941$	−25.8577	−	18.7867i	−0.842937	−	0.612429i	0.0802527	−	0.996775i	$-0.474427\pi$
$941$	−25.8577	−	18.7867i	−0.842937	−	0.612429i	−0.923189	+	0.384345i	$0.874427\pi$
$942$	−12.2949	+	16.6168i	−0.400591	+	0.541406i
$943$	−0.288490	+	0.288490i	−0.00939452	+	0.00939452i
$944$	12.0378	−	33.0875i	0.391797	−	1.07691i
$945$	−4.76387	−	6.21791i	−0.154969	−	0.202269i
$946$	−14.9528	+	28.7265i	−0.486159	+	0.933980i
$947$	2.86881	−	1.46173i	0.0932239	−	0.0474999i	−0.406757	−	0.913536i	$-0.633340\pi$
$947$	2.86881	−	1.46173i	0.0932239	−	0.0474999i	0.499981	+	0.866036i	$0.333340\pi$
$948$	−3.48087	−	1.85051i	−0.113053	−	0.0601018i
$949$		−	44.1640i		−	1.43363i
$950$	−41.4739	+	1.75070i	−1.34559	+	0.0568003i
$951$			0.623852i			0.0202298i
$952$	34.4169	+	26.4035i	1.11546	+	0.855741i
$953$	28.9987	−	14.7756i	0.939360	−	0.478628i	0.0838869	−	0.996475i	$-0.473267\pi$
$953$	28.9987	−	14.7756i	0.939360	−	0.478628i	0.855473	+	0.517848i	$0.173267\pi$
$954$	−13.5035	−	7.02889i	−0.437192	−	0.227569i
$955$	1.67951	−	2.43983i	0.0543477	−	0.0789511i
$956$	4.11663	+	0.0715787i	0.133141	+	0.00231502i
$957$	2.12512	−	2.12512i	0.0686954	−	0.0686954i
$958$	−7.43670	−	5.50248i	−0.240269	−	0.177777i
$959$	7.48771	+	5.44014i	0.241791	+	0.175671i
$960$	17.7368	−	2.32539i	0.572451	−	0.0750515i
$961$	−25.0795	+	18.2213i	−0.809017	+	0.587785i
$962$	−25.3110	−	0.220033i	−0.816059	−	0.00709414i
$963$	1.05474	−	0.167054i	0.0339885	−	0.00538326i
$964$	−11.6230	−	38.0081i	−0.374353	−	1.22416i
$965$	−18.9835	−	18.0414i	−0.611102	−	0.580774i
$966$	0.275646	−	0.270895i	0.00886876	−	0.00871589i
$967$	−6.18287	+	12.1346i	−0.198828	+	0.390221i	−0.968796	−	0.247861i	$-0.920272\pi$
$967$	−6.18287	+	12.1346i	−0.198828	+	0.390221i	0.769968	+	0.638083i	$0.220272\pi$
$968$	−1.22134	−	4.12166i	−0.0392555	−	0.132475i
$969$	−24.4434	+	7.94216i	−0.785237	+	0.255139i
$970$	−11.8231	+	2.07613i	−0.379618	+	0.0666605i
$971$	−21.7239	−	7.05851i	−0.697152	−	0.226518i	−0.0610628	−	0.998134i	$-0.519449\pi$
$971$	−21.7239	−	7.05851i	−0.697152	−	0.226518i	−0.636089	+	0.771616i	$0.719449\pi$
$972$	−1.98052	+	0.278480i	−0.0635251	+	0.00893224i
$973$	22.5859	+	3.57726i	0.724072	+	0.114682i
$974$	−17.2562	−	2.88710i	−0.552924	−	0.0925085i
$975$	13.4751	−	10.8790i	0.431550	−	0.348406i
$976$	31.8380	+	24.8677i	1.01911	+	0.795996i
$977$	1.60253	−	10.1180i	0.0512695	−	0.323703i	−0.948702	−	0.316171i	$-0.897603\pi$
$977$	1.60253	−	10.1180i	0.0512695	−	0.323703i	0.999972	−	0.00753150i	$-0.00239737\pi$
$978$	32.2033	−	10.1549i	1.02975	−	0.324717i
$979$	6.50003	−	20.0050i	0.207742	−	0.639363i
$980$	13.7026	−	19.1830i	0.437713	−	0.612779i
$981$	−2.56818	−	7.90406i	−0.0819958	−	0.252357i
$982$	−2.12194	−	2.97464i	−0.0677139	−	0.0949246i
$983$	−31.8803	−	16.2438i	−1.01682	−	0.518097i	−0.135583	−	0.990766i	$-0.543291\pi$
$983$	−31.8803	−	16.2438i	−1.01682	−	0.518097i	−0.881240	+	0.472669i	$0.843291\pi$
$984$	6.36949	+	13.3504i	0.203052	+	0.425597i
$985$	17.7692	+	32.7847i	0.566175	+	1.04461i
$986$	4.70628	−	2.34666i	0.149878	−	0.0747329i
$987$	−7.10373	−	44.8512i	−0.226114	−	1.42763i
$988$	40.0502	+	7.05914i	1.27417	+	0.224581i
$989$	0.296765	+	0.408462i	0.00943657	+	0.0129883i
$990$	−3.27897	+	10.6980i	−0.104212	+	0.340004i
$991$	−17.5929	+	24.2146i	−0.558858	+	0.769202i	−0.991181	−	0.132517i	$-0.957694\pi$
$991$	−17.5929	+	24.2146i	−0.558858	+	0.769202i	0.432323	+	0.901719i	$0.357694\pi$
$992$	−0.000706873	0	0.000196161i	−2.24432e−5	0	6.22813e-6i
$993$	−7.52487	−	7.52487i	−0.238795	−	0.238795i
$994$	−10.2669	+	1.53475i	−0.325645	+	0.0486792i
$995$	−41.8645	+	1.06526i	−1.32719	+	0.0337711i
$996$	19.5622	−	25.9636i	0.619852	−	0.822687i
$997$	−18.8432	−	36.9818i	−0.596769	−	1.17123i	−0.969913	−	0.243452i	$-0.921720\pi$
$997$	−18.8432	−	36.9818i	−0.596769	−	1.17123i	0.373144	−	0.927773i	$-0.378280\pi$
$998$	−0.636475	+	1.90244i	−0.0201473	+	0.0602206i
$999$	−5.16737			−0.163488

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.223.19	yes	240
3.2	odd	2		900.2.bj.f.523.12		240
4.3	odd	2	inner	300.2.w.a.223.16	yes	240
12.11	even	2		900.2.bj.f.523.15		240
25.12	odd	20	inner	300.2.w.a.187.16	✓	240
75.62	even	20		900.2.bj.f.487.15		240
100.87	even	20	inner	300.2.w.a.187.19	yes	240
300.287	odd	20		900.2.bj.f.487.12		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.187.16	✓	240	25.12	odd	20	inner
300.2.w.a.187.19	yes	240	100.87	even	20	inner
300.2.w.a.223.16	yes	240	4.3	odd	2	inner
300.2.w.a.223.19	yes	240	1.1	even	1	trivial
900.2.bj.f.487.12		240	300.287	odd	20
900.2.bj.f.487.15		240	75.62	even	20
900.2.bj.f.523.12		240	3.2	odd	2
900.2.bj.f.523.15		240	12.11	even	2

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.448691 - 1.34115i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.59735 - 1.20352i) q^{4} +(2.23534 - 0.0568795i) q^{5} +(1.39867 - 0.209081i) q^{6} +(2.47703 + 2.47703i) q^{7} +(-2.33082 + 1.60227i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(0.448691 - 1.34115i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.59735 - 1.20352i) q^{4} +(2.23534 - 0.0568795i) q^{5} +(1.39867 - 0.209081i) q^{6} +(2.47703 + 2.47703i) q^{7} +(-2.33082 + 1.60227i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(0.926696 - 3.02345i) q^{10} +(2.07978 + 2.86258i) q^{11} +(0.347164 - 1.96964i) q^{12} +(-0.541843 - 3.42106i) q^{13} +(4.43349 - 2.21064i) q^{14} +(1.06551 + 1.96588i) q^{15} +(1.10307 + 3.84490i) q^{16} +(-3.90086 - 1.98759i) q^{17} +(0.821277 + 1.15131i) q^{18} +(-1.81409 - 5.58320i) q^{19} +(-3.63909 - 2.59943i) q^{20} +(-1.08250 + 3.33160i) q^{21} +(4.77232 - 1.50488i) q^{22} +(0.0122038 - 0.0770517i) q^{23} +(-2.48581 - 1.34936i) q^{24} +(4.99353 - 0.254291i) q^{25} +(-4.83127 - 0.808310i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(-0.975529 - 6.93786i) q^{28} +(-0.807803 - 0.262471i) q^{29} +(3.11462 - 0.546924i) q^{30} +(-0.000123334 + 4.00736e-5i) q^{31} +(5.65151 + 0.245797i) q^{32} +(-1.60637 + 3.15269i) q^{33} +(-4.41593 + 4.33981i) q^{34} +(5.67791 + 5.39613i) q^{35} +(1.91257 - 0.584872i) q^{36} +(5.10375 - 0.808354i) q^{37} +(-8.30186 - 0.0721695i) q^{38} +(2.80220 - 2.03591i) q^{39} +(-5.11905 + 3.71421i) q^{40} +(-4.23098 - 3.07399i) q^{41} +(3.98246 + 2.94666i) q^{42} +(-4.57632 + 4.57632i) q^{43} +(0.123028 - 7.07561i) q^{44} +(-1.26789 + 1.84186i) q^{45} +(-0.0978619 - 0.0509395i) q^{46} +(-11.5502 + 5.88510i) q^{47} +(-2.92505 + 2.72839i) q^{48} +5.27138i q^{49} +(1.89951 - 6.81116i) q^{50} -4.37804i q^{51} +(-3.25181 + 6.11676i) q^{52} +(-9.59125 + 4.88699i) q^{53} +(-0.652969 + 1.25444i) q^{54} +(4.81186 + 6.28055i) q^{55} +(-9.74240 - 1.80463i) q^{56} +(4.15109 - 4.15109i) q^{57} +(-0.714467 + 0.965614i) q^{58} +(-7.12122 - 5.17387i) q^{59} +(0.663998 - 4.42257i) q^{60} +(8.17083 - 5.93646i) q^{61} +(-1.59424e-6 + 0.000183390i) q^{62} +(-3.45992 + 0.547998i) q^{63} +(2.86543 - 7.46922i) q^{64} +(-1.40579 - 7.61643i) q^{65} +(3.50745 + 3.56897i) q^{66} +(-4.18342 + 8.21042i) q^{67} +(3.83894 + 7.86965i) q^{68} +(0.0741939 - 0.0241071i) q^{69} +(9.78463 - 5.19372i) q^{70} +(-1.99288 - 0.647527i) q^{71} +(0.0737538 - 2.82747i) q^{72} +(12.5935 + 1.99462i) q^{73} +(1.20589 - 7.20758i) q^{74} +(2.49359 + 4.33382i) q^{75} +(-3.82176 + 11.1016i) q^{76} +(-1.93900 + 12.2424i) q^{77} +(-1.47314 - 4.67166i) q^{78} +(0.609102 - 1.87462i) q^{79} +(2.68443 + 8.53193i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-6.02107 + 4.29510i) q^{82} +(14.4825 + 7.37922i) q^{83} +(5.73880 - 4.01892i) q^{84} +(-8.83282 - 4.22106i) q^{85} +(4.08417 + 8.19088i) q^{86} +(-0.132871 - 0.838917i) q^{87} +(-9.43424 - 3.33977i) q^{88} +(-3.49423 - 4.80940i) q^{89} +(1.90132 + 2.52685i) q^{90} +(7.13192 - 9.81624i) q^{91} +(-0.112227 + 0.108391i) q^{92} +(-9.16983e-5 - 9.16983e-5i) q^{93} +(2.71033 + 18.1311i) q^{94} +(-4.37269 - 12.3772i) q^{95} +(2.34673 + 5.14712i) q^{96} +(-1.72335 - 3.38227i) q^{97} +(7.06970 + 2.36522i) q^{98} -3.53834 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8}+O(q^{10}) \) 240 * q + 12 * q^8	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

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