LMFDB - Embedded newform 92.2.h.a.11.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [92,2,Mod(7,92)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(92, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 19]))

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

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

chi := DirichletCharacter("92.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 92 = 2^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	92.h (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.734623698596$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.2
Character	$\chi$	$=$	92.11
Dual form			92.2.h.a.67.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.35313 - 0.411128i) q^{2} +(-2.71502 - 0.390360i) q^{3} +(1.66195 + 1.11262i) q^{4} +(0.232350 + 0.791311i) q^{5} +(3.51329 + 1.64443i) q^{6} +(2.90308 + 3.35033i) q^{7} +(-1.79141 - 2.18880i) q^{8} +(4.34045 + 1.27447i) q^{9} +O(q^{10})$	\(q+(-1.35313 - 0.411128i) q^{2} +(-2.71502 - 0.390360i) q^{3} +(1.66195 + 1.11262i) q^{4} +(0.232350 + 0.791311i) q^{5} +(3.51329 + 1.64443i) q^{6} +(2.90308 + 3.35033i) q^{7} +(-1.79141 - 2.18880i) q^{8} +(4.34045 + 1.27447i) q^{9} +(0.0109292 - 1.16628i) q^{10} +(1.51356 + 0.972706i) q^{11} +(-4.07789 - 3.66955i) q^{12} +(-3.65672 + 4.22008i) q^{13} +(-2.55084 - 5.72698i) q^{14} +(-0.321937 - 2.23912i) q^{15} +(1.52414 + 3.69824i) q^{16} +(1.07587 - 0.491333i) q^{17} +(-5.34924 - 3.50901i) q^{18} +(0.454341 - 0.994869i) q^{19} +(-0.494277 + 1.57364i) q^{20} +(-6.57406 - 10.2294i) q^{21} +(-1.64814 - 1.93847i) q^{22} +(-4.16463 + 2.37820i) q^{23} +(4.00928 + 6.64192i) q^{24} +(3.63408 - 2.33548i) q^{25} +(6.68303 - 4.20696i) q^{26} +(-3.80170 - 1.73618i) q^{27} +(1.09711 + 8.79810i) q^{28} +(1.35119 + 2.95868i) q^{29} +(-0.484941 + 3.16219i) q^{30} +(1.36511 - 0.196274i) q^{31} +(-0.541921 - 5.63084i) q^{32} +(-3.72963 - 3.23175i) q^{33} +(-1.65780 + 0.222520i) q^{34} +(-1.97662 + 3.07569i) q^{35} +(5.79559 + 6.94738i) q^{36} +(-0.0441808 + 0.150466i) q^{37} +(-1.02380 + 1.15940i) q^{38} +(11.5754 - 10.0301i) q^{39} +(1.31579 - 1.92613i) q^{40} +(-3.74516 + 1.09968i) q^{41} +(4.68999 + 16.5446i) q^{42} +(1.05536 - 7.34019i) q^{43} +(1.43320 + 3.30061i) q^{44} +3.73077i q^{45} +(6.61305 - 1.50583i) q^{46} +1.42739i q^{47} +(-2.69442 - 10.6357i) q^{48} +(-1.80065 + 12.5238i) q^{49} +(-5.87758 + 1.66615i) q^{50} +(-3.11280 + 0.914001i) q^{51} +(-10.7726 + 2.94501i) q^{52} +(8.39447 - 7.27385i) q^{53} +(4.43042 + 3.91226i) q^{54} +(-0.418038 + 1.42371i) q^{55} +(2.13260 - 12.3561i) q^{56} +(-1.62190 + 2.52373i) q^{57} +(-0.611939 - 4.55901i) q^{58} +(-2.52102 - 2.18448i) q^{59} +(1.95626 - 4.07950i) q^{60} +(-8.75165 + 1.25830i) q^{61} +(-1.92788 - 0.295651i) q^{62} +(8.33075 + 18.2418i) q^{63} +(-1.58170 + 7.84208i) q^{64} +(-4.18904 - 1.91307i) q^{65} +(3.71804 + 5.90634i) q^{66} +(7.17273 - 4.60963i) q^{67} +(2.33471 + 0.380467i) q^{68} +(12.2354 - 4.83114i) q^{69} +(3.93914 - 3.34917i) q^{70} +(-0.0394082 - 0.0613203i) q^{71} +(-4.98596 - 11.7835i) q^{72} +(3.13491 - 6.86450i) q^{73} +(0.121643 - 0.185437i) q^{74} +(-10.7783 + 4.92227i) q^{75} +(1.86200 - 1.14791i) q^{76} +(1.13510 + 7.89476i) q^{77} +(-19.7868 + 8.81317i) q^{78} +(3.24451 - 3.74436i) q^{79} +(-2.57233 + 2.06536i) q^{80} +(-1.77278 - 1.13930i) q^{81} +(5.51982 + 0.0517261i) q^{82} +(-6.48746 - 1.90489i) q^{83} +(0.455755 - 24.3152i) q^{84} +(0.638776 + 0.737187i) q^{85} +(-4.44580 + 9.49838i) q^{86} +(-2.51354 - 8.56032i) q^{87} +(-0.582347 - 5.05540i) q^{88} +(-2.37270 - 0.341143i) q^{89} +(1.53382 - 5.04823i) q^{90} -24.7544 q^{91} +(-9.56744 - 0.681220i) q^{92} -3.78292 q^{93} +(0.586840 - 1.93145i) q^{94} +(0.892817 + 0.128368i) q^{95} +(-0.726731 + 15.4994i) q^{96} +(-4.11453 - 14.0128i) q^{97} +(7.58538 - 16.2060i) q^{98} +(5.32984 + 6.15097i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9}+O(q^{10}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25} + 12 q^{26} - 11 q^{28} - 42 q^{29} - 11 q^{30} - 27 q^{32} - 22 q^{33} + 11 q^{34} + 77 q^{36} - 22 q^{37} + 44 q^{38} + 77 q^{40} - 10 q^{41} + 99 q^{42} + 66 q^{44} + 65 q^{46} + 38 q^{48} - 8 q^{49} + 30 q^{50} + 96 q^{52} - 22 q^{53} + 48 q^{54} + 44 q^{56} - 22 q^{57} + 79 q^{58} + 11 q^{60} - 22 q^{61} - 36 q^{62} + 10 q^{64} - 22 q^{65} - 44 q^{66} - 10 q^{69} + 34 q^{70} - 21 q^{72} - 18 q^{73} - 22 q^{74} - 66 q^{76} + 122 q^{77} - 66 q^{78} - 110 q^{80} + 8 q^{81} - 122 q^{82} - 165 q^{84} + 54 q^{85} - 121 q^{86} - 99 q^{88} + 22 q^{89} - 198 q^{90} - 86 q^{92} + 212 q^{93} - 61 q^{94} - 147 q^{96} + 22 q^{97} - 71 q^{98}+O(q^{100}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/92\mathbb{Z}\right)^\times$.

$n$	$5$	$47$
$\chi(n)$	$e\left(\frac{9}{22}\right)$	$-1$

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 $

$2$	−1.35313	−	0.411128i	−0.956811	−	0.290711i
$2$	−1.35313	−	0.411128i	−0.956811	−	0.290711i
$3$	−2.71502	−	0.390360i	−1.56751	−	0.225375i	−0.696837	−	0.717229i	$-0.745410\pi$
$3$	−2.71502	−	0.390360i	−1.56751	−	0.225375i	−0.870677	+	0.491855i	$0.836319\pi$
$4$	1.66195	+	1.11262i	0.830974	+	0.556311i
$5$	0.232350	+	0.791311i	0.103910	+	0.353885i	0.994992	−	0.0999579i	$-0.0318708\pi$
$5$	0.232350	+	0.791311i	0.103910	+	0.353885i	−0.891082	+	0.453843i	$0.850053\pi$
$6$	3.51329	+	1.64443i	1.43430	+	0.671335i
$7$	2.90308	+	3.35033i	1.09726	+	1.26631i	0.961274	+	0.275594i	$0.0888746\pi$
$7$	2.90308	+	3.35033i	1.09726	+	1.26631i	0.135985	+	0.990711i	$0.456580\pi$
$8$	−1.79141	−	2.18880i	−0.633359	−	0.773858i
$9$	4.34045	+	1.27447i	1.44682	+	0.424823i
$10$	0.0109292	−	1.16628i	0.00345610	−	0.368809i
$11$	1.51356	+	0.972706i	0.456356	+	0.293282i	0.748552	−	0.663077i	$-0.230750\pi$
$11$	1.51356	+	0.972706i	0.456356	+	0.293282i	−0.292196	+	0.956358i	$0.594386\pi$
$12$	−4.07789	−	3.66955i	−1.17719	−	1.05931i
$13$	−3.65672	+	4.22008i	−1.01419	+	1.17044i	−0.0288962	+	0.999582i	$0.509199\pi$
$13$	−3.65672	+	4.22008i	−1.01419	+	1.17044i	−0.985296	+	0.170858i	$0.945346\pi$
$14$	−2.55084	−	5.72698i	−0.681741	−	1.53060i
$15$	−0.321937	−	2.23912i	−0.0831238	−	0.578139i
$16$	1.52414	+	3.69824i	0.381036	+	0.924560i
$17$	1.07587	−	0.491333i	0.260937	−	0.119166i	−0.280651	−	0.959810i	$-0.590550\pi$
$17$	1.07587	−	0.491333i	0.260937	−	0.119166i	0.541588	+	0.840644i	$0.317823\pi$
$18$	−5.34924	−	3.50901i	−1.26083	−	0.827081i
$19$	0.454341	−	0.994869i	0.104233	−	0.228239i	−0.850329	−	0.526252i	$-0.823597\pi$
$19$	0.454341	−	0.994869i	0.104233	−	0.228239i	0.954562	+	0.298014i	$0.0963241\pi$
$20$	−0.494277	+	1.57364i	−0.110524	+	0.351876i
$21$	−6.57406	−	10.2294i	−1.43458	−	2.23225i
$22$	−1.64814	−	1.93847i	−0.351386	−	0.413283i
$23$	−4.16463	+	2.37820i	−0.868386	+	0.495889i
$23$	−4.16463	+	2.37820i	−0.868386	+	0.495889i
$24$	4.00928	+	6.64192i	0.818392	+	1.35578i
$25$	3.63408	−	2.33548i	0.726816	−	0.467096i
$26$	6.68303	−	4.20696i	1.31065	−	0.825053i
$27$	−3.80170	−	1.73618i	−0.731637	−	0.334127i
$28$	1.09711	+	8.79810i	0.207334	+	1.66268i
$29$	1.35119	+	2.95868i	0.250909	+	0.549414i	0.992614	−	0.121312i	$-0.0387101\pi$
$29$	1.35119	+	2.95868i	0.250909	+	0.549414i	−0.741706	+	0.670726i	$0.765983\pi$
$30$	−0.484941	+	3.16219i	−0.0885377	+	0.577335i
$31$	1.36511	−	0.196274i	0.245182	−	0.0352518i	−0.0186284	−	0.999826i	$-0.505930\pi$
$31$	1.36511	−	0.196274i	0.245182	−	0.0352518i	0.263810	+	0.964575i	$0.415021\pi$
$32$	−0.541921	−	5.63084i	−0.0957990	−	0.995401i
$33$	−3.72963	−	3.23175i	−0.649246	−	0.562575i
$34$	−1.65780	+	0.222520i	−0.284310	+	0.0381619i
$35$	−1.97662	+	3.07569i	−0.334110	+	0.519886i
$36$	5.79559	+	6.94738i	0.965932	+	1.15790i
$37$	−0.0441808	+	0.150466i	−0.00726327	+	0.0247364i	−0.963045	−	0.269341i	$-0.913194\pi$
$37$	−0.0441808	+	0.150466i	−0.00726327	+	0.0247364i	0.955782	+	0.294077i	$0.0950123\pi$
$38$	−1.02380	+	1.15940i	−0.166083	+	0.188079i
$39$	11.5754	−	10.0301i	1.85355	−	1.60611i
$40$	1.31579	−	1.92613i	0.208045	−	0.304548i
$41$	−3.74516	+	1.09968i	−0.584896	+	0.171741i	−0.560775	−	0.827968i	$-0.689497\pi$
$41$	−3.74516	+	1.09968i	−0.584896	+	0.171741i	−0.0241209	+	0.999709i	$0.507679\pi$
$42$	4.68999	+	16.5446i	0.723680	+	2.55289i
$43$	1.05536	−	7.34019i	0.160941	−	1.11937i	−0.735924	−	0.677064i	$-0.763252\pi$
$43$	1.05536	−	7.34019i	0.160941	−	1.11937i	0.896865	−	0.442304i	$-0.145839\pi$
$44$	1.43320	+	3.30061i	0.216064	+	0.497585i
$45$			3.73077i			0.556150i
$46$	6.61305	−	1.50583i	0.975042	−	0.222022i
$47$			1.42739i			0.208206i	0.994567	+	0.104103i	$0.0331972\pi$
$47$			1.42739i			0.208206i	−0.994567	+	0.104103i	$0.966803\pi$
$48$	−2.69442	−	10.6357i	−0.388907	−	1.53514i
$49$	−1.80065	+	12.5238i	−0.257235	+	1.78911i
$50$	−5.87758	+	1.66615i	−0.831216	+	0.235629i
$51$	−3.11280	+	0.914001i	−0.435879	+	0.127986i
$52$	−10.7726	+	2.94501i	−1.49390	+	0.408399i
$53$	8.39447	−	7.27385i	1.15307	−	0.999140i	0.153129	−	0.988206i	$-0.451065\pi$
$53$	8.39447	−	7.27385i	1.15307	−	0.999140i	0.999940	−	0.0109341i	$-0.00348052\pi$
$54$	4.43042	+	3.91226i	0.602903	+	0.532392i
$55$	−0.418038	+	1.42371i	−0.0563682	+	0.191972i
$56$	2.13260	−	12.3561i	0.284981	−	1.65115i
$57$	−1.62190	+	2.52373i	−0.214826	+	0.334276i
$58$	−0.611939	−	4.55901i	−0.0803516	−	0.598627i
$59$	−2.52102	−	2.18448i	−0.328209	−	0.284395i	0.475131	−	0.879915i	$-0.342401\pi$
$59$	−2.52102	−	2.18448i	−0.328209	−	0.284395i	−0.803340	+	0.595520i	$0.796946\pi$
$60$	1.95626	−	4.07950i	0.252551	−	0.526661i
$61$	−8.75165	+	1.25830i	−1.12053	+	0.161108i	−0.677589	−	0.735440i	$-0.736975\pi$
$61$	−8.75165	+	1.25830i	−1.12053	+	0.161108i	−0.442945	+	0.896549i	$0.646066\pi$
$62$	−1.92788	−	0.295651i	−0.244840	−	0.0375477i
$63$	8.33075	+	18.2418i	1.04958	+	2.29825i
$64$	−1.58170	+	7.84208i	−0.197713	+	0.980260i
$65$	−4.18904	−	1.91307i	−0.519586	−	0.237287i
$66$	3.71804	+	5.90634i	0.457659	+	0.727020i
$67$	7.17273	−	4.60963i	0.876289	−	0.563156i	−0.0233817	−	0.999727i	$-0.507443\pi$
$67$	7.17273	−	4.60963i	0.876289	−	0.563156i	0.899670	+	0.436570i	$0.143807\pi$
$68$	2.33471	+	0.380467i	0.283125	+	0.0461384i
$69$	12.2354	−	4.83114i	1.47297	−	0.581601i
$70$	3.93914	−	3.34917i	0.470817	−	0.400303i
$71$	−0.0394082	−	0.0613203i	−0.00467689	−	0.00727739i	0.838907	−	0.544274i	$-0.183195\pi$
$71$	−0.0394082	−	0.0613203i	−0.00467689	−	0.00727739i	−0.843584	+	0.536997i	$0.819559\pi$
$72$	−4.98596	−	11.7835i	−0.587601	−	1.38870i
$73$	3.13491	−	6.86450i	0.366914	−	0.803429i	−0.632666	−	0.774425i	$-0.718039\pi$
$73$	3.13491	−	6.86450i	0.366914	−	0.803429i	0.999579	−	0.0290038i	$-0.00923349\pi$
$74$	0.121643	−	0.185437i	0.0141407	−	0.0215566i
$75$	−10.7783	+	4.92227i	−1.24457	+	0.568375i
$76$	1.86200	−	1.14791i	0.213587	−	0.131674i
$77$	1.13510	+	7.89476i	0.129356	+	0.899692i
$78$	−19.7868	+	8.81317i	−2.24041	+	0.997895i
$79$	3.24451	−	3.74436i	0.365036	−	0.421274i	−0.543285	−	0.839548i	$-0.682820\pi$
$79$	3.24451	−	3.74436i	0.365036	−	0.421274i	0.908321	+	0.418275i	$0.137365\pi$
$80$	−2.57233	+	2.06536i	−0.287595	+	0.230914i
$81$	−1.77278	−	1.13930i	−0.196975	−	0.126588i
$82$	5.51982	+	0.0517261i	0.609562	+	0.00571219i
$83$	−6.48746	−	1.90489i	−0.712092	−	0.209089i	−0.0944283	−	0.995532i	$-0.530102\pi$
$83$	−6.48746	−	1.90489i	−0.712092	−	0.209089i	−0.617663	+	0.786443i	$0.711920\pi$
$84$	0.455755	−	24.3152i	0.0497270	−	2.65301i
$85$	0.638776	+	0.737187i	0.0692850	+	0.0799592i
$86$	−4.44580	+	9.49838i	−0.479403	+	1.02424i
$87$	−2.51354	−	8.56032i	−0.269479	−	0.917763i
$88$	−0.582347	−	5.05540i	−0.0620784	−	0.538907i
$89$	−2.37270	−	0.341143i	−0.251506	−	0.0361611i	0.0154087	−	0.999881i	$-0.495095\pi$
$89$	−2.37270	−	0.341143i	−0.251506	−	0.0361611i	−0.266915	+	0.963720i	$0.586004\pi$
$90$	1.53382	−	5.04823i	0.161679	−	0.532131i
$91$	−24.7544			−2.59497
$92$	−9.56744	−	0.681220i	−0.997475	−	0.0710220i
$93$	−3.78292			−0.392271
$94$	0.586840	−	1.93145i	0.0605279	−	0.199214i
$95$	0.892817	+	0.128368i	0.0916011	+	0.0131703i
$96$	−0.726731	+	15.4994i	−0.0741717	+	1.58190i
$97$	−4.11453	−	14.0128i	−0.417767	−	1.42278i	−0.852737	−	0.522340i	$-0.825059\pi$
$97$	−4.11453	−	14.0128i	−0.417767	−	1.42278i	0.434970	−	0.900445i	$-0.356759\pi$
$98$	7.58538	−	16.2060i	0.766239	−	1.63706i
$99$	5.32984	+	6.15097i	0.535669	+	0.618195i
$100$	8.63816	+	0.161910i	0.863816	+	0.0161910i
$101$	14.3836	+	4.22342i	1.43123	+	0.420246i	0.903287	−	0.429036i	$-0.141147\pi$
$101$	14.3836	+	4.22342i	1.43123	+	0.420246i	0.527939	+	0.849282i	$0.322965\pi$
$102$	4.58781	+	0.0429923i	0.454261	+	0.00425687i
$103$	8.21382	+	5.27870i	0.809332	+	0.520126i	0.878649	−	0.477468i	$-0.158446\pi$
$103$	8.21382	+	5.27870i	0.809332	+	0.520126i	−0.0693167	+	0.997595i	$0.522082\pi$
$104$	15.7876	+	0.443940i	1.54810	+	0.0435319i
$105$	6.56719	−	7.57894i	0.640892	−	0.739629i
$106$	−14.3493	+	6.39130i	−1.39373	+	0.620778i
$107$	2.32713	+	16.1855i	0.224972	+	1.56472i	0.718838	+	0.695177i	$0.244674\pi$
$107$	2.32713	+	16.1855i	0.224972	+	1.56472i	−0.493866	+	0.869538i	$0.664417\pi$
$108$	−4.38651	−	7.11529i	−0.422092	−	0.684669i
$109$	10.5966	−	4.83933i	1.01497	−	0.463524i	0.162732	−	0.986670i	$-0.447969\pi$
$109$	10.5966	−	4.83933i	1.01497	−	0.463524i	0.852243	+	0.523147i	$0.175242\pi$
$110$	1.15099	−	1.75460i	0.109742	−	0.167294i
$111$	0.178687	−	0.391271i	0.0169603	−	0.0371378i
$112$	−7.96562	+	15.8427i	−0.752680	+	1.49699i
$113$	8.57667	+	13.3456i	0.806825	+	1.25544i	0.963477	+	0.267791i	$0.0862935\pi$
$113$	8.57667	+	13.3456i	0.806825	+	1.25544i	−0.156652	+	0.987654i	$0.550070\pi$
$114$	3.23222	−	2.74813i	0.302726	−	0.257386i
$115$	−2.84955	−	2.74295i	−0.265722	−	0.255781i
$116$	−1.04630	+	6.42054i	−0.0971463	+	0.596132i
$117$	−21.2502	+	13.6567i	−1.96458	+	1.26256i
$118$	2.51318	+	3.99235i	0.231357	+	0.367526i
$119$	4.76946	+	2.17814i	0.437216	+	0.199670i
$120$	−4.32427	+	4.71584i	−0.394750	+	0.430496i
$121$	−3.22486	−	7.06145i	−0.293169	−	0.641950i
$122$	12.3595	+	1.89540i	1.11898	+	0.171601i
$123$	10.5974	−	1.52368i	0.955540	−	0.137386i
$124$	2.48713	+	1.19266i	0.223350	+	0.107104i
$125$	5.80887	+	5.03342i	0.519562	+	0.450203i
$126$	−3.77292	−	28.1086i	−0.336119	−	2.50412i
$127$	0.207729	−	0.323233i	0.0184330	−	0.0286823i	−0.831915	−	0.554903i	$-0.812755\pi$
$127$	0.207729	−	0.323233i	0.0184330	−	0.0286823i	0.850348	+	0.526221i	$0.176392\pi$
$128$	5.36435	−	9.96111i	0.474146	−	0.880446i
$129$	−5.73063	+	19.5167i	−0.504554	+	1.71835i
$130$	4.88182	+	4.31087i	0.428164	+	0.378088i
$131$	9.31097	−	8.06800i	0.813503	−	0.704905i	−0.145172	−	0.989406i	$-0.546374\pi$
$131$	9.31097	−	8.06800i	0.813503	−	0.704905i	0.958676	+	0.284502i	$0.0918281\pi$
$132$	−2.60274	−	9.52067i	−0.226540	−	0.828668i
$133$	4.65212	−	1.36599i	0.403390	−	0.118446i
$134$	−11.6008	+	3.28855i	−1.00216	+	0.284087i
$135$	0.490532	−	3.41173i	0.0422183	−	0.293635i
$136$	−3.00276	−	1.47469i	−0.257484	−	0.126453i
$137$			2.11763i			0.180921i	0.995900	+	0.0904607i	$0.0288340\pi$
$137$			2.11763i			0.180921i	−0.995900	+	0.0904607i	$0.971166\pi$
$138$	−18.5424	+	1.50688i	−1.57843	+	0.128274i
$139$			13.1024i			1.11134i	0.831405	+	0.555668i	$0.187537\pi$
$139$			13.1024i			1.11134i	−0.831405	+	0.555668i	$0.812463\pi$
$140$	−6.70712	+	2.91239i	−0.566855	+	0.246142i
$141$	0.557196	−	3.87539i	0.0469244	−	0.326366i
$142$	0.0281141	+	0.0991765i	0.00235928	+	0.00832271i
$143$	−9.63957	+	2.83043i	−0.806101	+	0.236693i
$144$	1.90216	+	17.9945i	0.158513	+	1.49954i
$145$	−2.02729	+	1.75666i	−0.168357	+	0.145883i
$146$	−7.06414	+	7.99974i	−0.584633	+	0.662064i
$147$	9.77756	−	33.2993i	0.806439	−	2.74648i
$148$	−0.240838	+	0.200910i	−0.0197967	+	0.0165147i
$149$	−1.14329	+	1.77899i	−0.0936618	+	0.145741i	−0.884922	−	0.465738i	$-0.845789\pi$
$149$	−1.14329	+	1.77899i	−0.0936618	+	0.145741i	0.791261	+	0.611479i	$0.209425\pi$
$150$	16.6081	−	2.22925i	1.35605	−	0.182017i
$151$	−8.16163	−	7.07209i	−0.664184	−	0.575518i	0.256157	−	0.966635i	$-0.417543\pi$
$151$	−8.16163	−	7.07209i	−0.664184	−	0.575518i	−0.920341	+	0.391117i	$0.872089\pi$
$152$	−2.99148	+	0.787755i	−0.242641	+	0.0638954i
$153$	5.29595	−	0.761442i	0.428152	−	0.0615590i
$154$	1.70982	−	11.1493i	0.137781	−	0.898440i
$155$	0.472498	+	1.03463i	0.0379519	+	0.0831031i
$156$	30.3975	−	3.79053i	2.43375	−	0.303485i
$157$	−0.00427673	−	0.00195312i	−0.000341320	−	0.000155876i	0.415244	−	0.909710i	$-0.363696\pi$
$157$	−0.00427673	−	0.00195312i	−0.000341320	−	0.000155876i	−0.415586	+	0.909554i	$0.636423\pi$
$158$	−5.92967	+	3.73272i	−0.471739	+	0.296959i
$159$	−25.6305	+	16.4717i	−2.03263	+	1.30629i
$160$	4.32983	−	1.73715i	0.342303	−	0.137334i
$161$	−20.0580	−	7.04879i	−1.58079	−	0.555523i
$162$	1.93041	+	2.27046i	0.151668	+	0.178384i
$163$	0.530339	+	0.825223i	0.0415393	+	0.0646365i	0.861402	−	0.507923i	$-0.169587\pi$
$163$	0.530339	+	0.825223i	0.0415393	+	0.0646365i	−0.819863	+	0.572560i	$0.805950\pi$
$164$	−7.44779	−	2.33934i	−0.581575	−	0.182672i
$165$	1.69074	−	3.70220i	0.131624	−	0.288216i
$166$	7.99526	+	5.24475i	0.620552	+	0.407072i
$167$	2.02965	−	0.926910i	0.157059	−	0.0717264i	−0.335335	−	0.942099i	$-0.608849\pi$
$167$	2.02965	−	0.926910i	0.157059	−	0.0717264i	0.492394	+	0.870373i	$0.336122\pi$
$168$	−10.6134	+	32.7144i	−0.818839	+	2.52397i
$169$	−2.58738	−	17.9956i	−0.199029	−	1.38428i
$170$	−0.561272	−	1.26013i	−0.0430476	−	0.0966477i
$171$	3.23998	−	3.73913i	0.247767	−	0.285938i
$172$	9.92081	−	11.0248i	0.756455	−	0.840633i
$173$	−6.13970	−	3.94574i	−0.466792	−	0.299989i	0.286021	−	0.958223i	$-0.407667\pi$
$173$	−6.13970	−	3.94574i	−0.466792	−	0.299989i	−0.752813	+	0.658234i	$0.771304\pi$
$174$	−0.118230	+	12.6167i	−0.00896302	+	0.956466i
$175$	18.3746	+	5.39528i	1.38899	+	0.407845i
$176$	−1.29042	+	7.08005i	−0.0972691	+	0.533679i
$177$	5.99188	+	6.91499i	0.450377	+	0.519763i
$178$	3.07033	+	1.43710i	0.230131	+	0.107715i
$179$	−4.09297	−	13.9394i	−0.305923	−	1.04188i	−0.958722	−	0.284346i	$-0.908224\pi$
$179$	−4.09297	−	13.9394i	−0.305923	−	1.04188i	0.652799	−	0.757531i	$-0.273595\pi$
$180$	−4.15094	+	6.20034i	−0.309393	+	0.462146i
$181$	−6.34201	−	0.911843i	−0.471398	−	0.0677767i	−0.0974776	−	0.995238i	$-0.531077\pi$
$181$	−6.34201	−	0.911843i	−0.471398	−	0.0677767i	−0.373920	+	0.927461i	$0.621987\pi$
$182$	33.4960	+	10.1772i	2.48289	+	0.754386i
$183$	24.2521			1.79276
$184$	12.6660	+	4.85522i	0.933748	+	0.357932i
$185$	−0.129331			−0.00950859
$186$	5.11880	+	1.55526i	0.375329	+	0.114037i
$187$	2.10632	+	0.302843i	0.154029	+	0.0221461i
$188$	−1.58815	+	2.37225i	−0.115827	+	0.173014i
$189$	−5.21985	−	17.7772i	−0.379688	−	1.29310i
$190$	−1.15533	−	0.540761i	−0.0838162	−	0.0392309i
$191$	−11.4756	−	13.2436i	−0.830346	−	0.958270i	0.169281	−	0.985568i	$-0.445855\pi$
$191$	−11.4756	−	13.2436i	−0.830346	−	0.958270i	−0.999627	+	0.0272973i	$0.991310\pi$
$192$	7.35558	−	20.6739i	0.530843	−	1.49201i
$193$	−1.59552	−	0.468488i	−0.114848	−	0.0337225i	0.223803	−	0.974634i	$-0.428153\pi$
$193$	−1.59552	−	0.468488i	−0.114848	−	0.0337225i	−0.338652	+	0.940912i	$0.609971\pi$
$194$	−0.193537	+	20.6528i	−0.0138952	+	1.48279i
$195$	10.6265	+	6.82925i	0.760981	+	0.489053i
$196$	−16.9268	+	18.8104i	−1.20906	+	1.34360i
$197$	12.2361	−	14.1212i	0.871788	−	1.00610i	−0.128110	−	0.991760i	$-0.540891\pi$
$197$	12.2361	−	14.1212i	0.871788	−	1.00610i	0.999897	−	0.0143365i	$-0.00456361\pi$
$198$	−4.68316	−	10.5143i	−0.332818	−	0.747221i
$199$	−2.28065	−	15.8623i	−0.161671	−	1.12445i	−0.895483	−	0.445095i	$-0.853170\pi$
$199$	−2.28065	−	15.8623i	−0.161671	−	1.12445i	0.733812	−	0.679352i	$-0.237739\pi$
$200$	−11.6220	−	3.77047i	−0.821802	−	0.266613i
$201$	−21.2735	+	9.71528i	−1.50052	+	0.685263i
$202$	−17.7266	−	11.6284i	−1.24724	−	0.818169i
$203$	−5.98997	+	13.1162i	−0.420413	+	0.920577i
$204$	−6.19025	−	1.94435i	−0.433404	−	0.136132i
$205$	−1.74038	−	2.70808i	−0.121553	−	0.189141i
$206$	−8.94419	−	10.5197i	−0.623171	−	0.732944i
$207$	−21.1073	+	5.01475i	−1.46706	+	0.348549i
$208$	−21.1802	−	7.09143i	−1.46859	−	0.491702i
$209$	1.65539	−	1.06385i	0.114506	−	0.0735882i
$210$	−12.0022	+	7.55537i	−0.828231	+	0.521370i
$211$	−4.92387	−	2.24866i	−0.338973	−	0.154804i	0.238654	−	0.971105i	$-0.423294\pi$
$211$	−4.92387	−	2.24866i	−0.338973	−	0.154804i	−0.577627	+	0.816301i	$0.696021\pi$
$212$	22.0442	−	2.74889i	1.51400	−	0.188794i
$213$	0.0830568	+	0.181869i	0.00569096	+	0.0124615i
$214$	3.50540	−	22.8580i	0.239624	−	1.56254i
$215$	6.05359	−	0.870374i	0.412851	−	0.0593590i
$216$	3.01025	+	11.4314i	0.204822	+	0.777806i
$217$	4.62061	+	4.00378i	0.313667	+	0.271794i
$218$	−16.3283	+	2.19169i	−1.10589	+	0.148440i
$219$	−11.1910	+	17.4135i	−0.756215	+	1.17669i
$220$	−2.27880	+	1.90101i	−0.153637	+	0.128166i
$221$	−1.86069	+	6.33693i	−0.125164	+	0.426268i
$222$	−0.402650	+	0.455979i	−0.0270241	+	0.0306033i
$223$	0.491089	−	0.425531i	0.0328857	−	0.0284957i	−0.638263	−	0.769819i	$-0.720347\pi$
$223$	0.491089	−	0.425531i	0.0328857	−	0.0284957i	0.671149	+	0.741323i	$0.265801\pi$
$224$	17.2919	−	18.1624i	1.15536	−	1.21352i
$225$	18.7500	−	5.50551i	1.25000	−	0.367034i
$226$	−6.11866	−	21.5844i	−0.407007	−	1.43578i
$227$	−0.571561	+	3.97530i	−0.0379359	+	0.263850i	−0.999958	−	0.00912032i	$-0.997097\pi$
$227$	−0.571561	+	3.97530i	−0.0379359	+	0.263850i	0.962023	+	0.272970i	$0.0880060\pi$
$228$	−5.50347	+	2.38974i	−0.364476	+	0.158264i
$229$			7.20933i			0.476406i	0.971215	+	0.238203i	$0.0765583\pi$
$229$			7.20933i			0.476406i	−0.971215	+	0.238203i	$0.923442\pi$
$230$	2.72812	+	4.88311i	0.179887	+	0.321982i
$231$		−	21.8775i		−	1.43943i
$232$	4.05544	−	8.25769i	0.266253	−	0.542144i
$233$	2.23766	−	15.5632i	0.146594	−	1.01958i	−0.775149	−	0.631779i	$-0.782325\pi$
$233$	2.23766	−	15.5632i	0.146594	−	1.01958i	0.921742	−	0.387803i	$-0.126766\pi$
$234$	34.3690	−	9.74277i	2.24677	−	0.636904i
$235$	−1.12951	+	0.331654i	−0.0736811	+	0.0216347i
$236$	−1.75931	−	6.43543i	−0.114521	−	0.418911i
$237$	−10.2705	+	8.89947i	−0.667143	+	0.578083i
$238$	−5.55823	−	4.90817i	−0.360287	−	0.318150i
$239$	−1.44182	+	4.91040i	−0.0932638	+	0.317627i	−0.992890	−	0.119033i	$-0.962021\pi$
$239$	−1.44182	+	4.91040i	−0.0932638	+	0.317627i	0.899627	+	0.436660i	$0.143839\pi$
$240$	7.79014	−	4.60334i	0.502851	−	0.297145i
$241$	−14.4681	+	22.5128i	−0.931972	+	1.45018i	−0.0394253	+	0.999223i	$0.512553\pi$
$241$	−14.4681	+	22.5128i	−0.931972	+	1.45018i	−0.892547	+	0.450955i	$0.851084\pi$
$242$	1.46051	+	10.8809i	0.0938850	+	0.699453i
$243$	13.8441	+	11.9960i	0.888098	+	0.769541i
$244$	−15.9448	−	7.64606i	−1.02076	−	0.489489i
$245$	−10.3286	+	1.48503i	−0.659869	+	0.0948748i
$246$	−14.9662	−	2.29516i	−0.954210	−	0.146334i
$247$	2.53703	+	5.55531i	0.161427	+	0.353476i
$248$	−2.87508	−	2.63635i	−0.182568	−	0.167409i
$249$	16.8700	+	7.70426i	1.06909	+	0.488237i
$250$	−5.79081	−	9.19908i	−0.366243	−	0.581801i
$251$	14.7287	−	9.46557i	0.929669	−	0.597462i	0.0142209	−	0.999899i	$-0.495473\pi$
$251$	14.7287	−	9.46557i	0.929669	−	0.597462i	0.915448	+	0.402437i	$0.131837\pi$
$252$	−6.45096	+	39.5859i	−0.406373	+	2.49368i
$253$	−8.61671	−	0.451415i	−0.541728	−	0.0283802i
$254$	−0.413976	+	0.351975i	−0.0259751	+	0.0220849i
$255$	−1.44652	−	2.25083i	−0.0905845	−	0.140952i
$256$	−11.3540	+	11.2733i	−0.709624	+	0.704581i
$257$	6.01663	−	13.1746i	0.375307	−	0.821807i	−0.623881	−	0.781519i	$-0.714445\pi$
$257$	6.01663	−	13.1746i	0.375307	−	0.821807i	0.999188	−	0.0402882i	$-0.0128276\pi$
$258$	15.7782	−	24.0528i	0.982308	−	1.49746i
$259$	−0.632370	+	0.288794i	−0.0392936	+	0.0179448i
$260$	−4.83344	−	7.84024i	−0.299757	−	0.486231i
$261$	2.09400	+	14.5641i	0.129615	+	0.901492i
$262$	−15.9160	+	7.08910i	−0.983293	+	0.437966i
$263$	−11.9863	+	13.8329i	−0.739108	+	0.852976i	−0.993465	−	0.114134i	$-0.963591\pi$
$263$	−11.9863	+	13.8329i	−0.739108	+	0.852976i	0.254357	+	0.967110i	$0.418136\pi$
$264$	−0.392346	+	13.9528i	−0.0241472	+	0.858736i
$265$	7.70634	+	4.95256i	0.473397	+	0.304234i
$266$	−6.85655	−	0.0642525i	−0.420402	−	0.00393958i
$267$	6.30875	+	1.85242i	0.386089	+	0.113366i
$268$	17.0495	+	0.319569i	1.04146	+	0.0195208i
$269$	−0.842434	−	0.972221i	−0.0513641	−	0.0592773i	0.729486	−	0.683996i	$-0.239759\pi$
$269$	−0.842434	−	0.972221i	−0.0513641	−	0.0592773i	−0.780850	+	0.624718i	$0.785214\pi$
$270$	−2.06641	+	4.41485i	−0.125758	+	0.268680i
$271$	6.81395	+	23.2062i	0.413918	+	1.40968i	0.857982	+	0.513680i	$0.171718\pi$
$271$	6.81395	+	23.2062i	0.413918	+	1.40968i	−0.444063	+	0.895995i	$0.646464\pi$
$272$	3.45685	+	3.22997i	0.209602	+	0.195845i
$273$	67.2086	+	9.66313i	4.06765	+	0.584839i
$274$	0.870617	−	2.86544i	0.0525959	−	0.173108i
$275$	7.77214			0.468677
$276$	25.7098	+	5.58427i	1.54755	+	0.336134i
$277$	16.8951			1.01513			0.507563	−	0.861615i	$-0.330547\pi$
$277$	16.8951			1.01513			0.507563	+	0.861615i	$0.330547\pi$
$278$	5.38678	−	17.7294i	0.323078	−	1.06334i
$279$	6.17535	+	0.887881i	0.369708	+	0.0531560i
$280$	10.2730	−	1.18338i	0.613930	−	0.0707204i
$281$	7.86775	+	26.7951i	0.469351	+	1.59846i	0.765577	+	0.643344i	$0.222454\pi$
$281$	7.86775	+	26.7951i	0.469351	+	1.59846i	−0.296226	+	0.955118i	$0.595728\pi$
$282$	−2.34724	+	5.01484i	−0.139776	+	0.298629i
$283$	−1.36592	−	1.57636i	−0.0811958	−	0.0937049i	0.713698	−	0.700454i	$-0.247019\pi$
$283$	−1.36592	−	1.57636i	−0.0811958	−	0.0937049i	−0.794894	+	0.606749i	$0.792473\pi$
$284$	0.00273202	−	0.145758i	0.000162116	−	0.00864913i
$285$	−2.37390	−	0.697041i	−0.140618	−	0.0412891i
$286$	14.2073	+	0.133136i	0.840095	+	0.00787252i
$287$	−14.5568	−	9.35507i	−0.859259	−	0.552213i
$288$	4.82415	−	25.1310i	0.284266	−	1.48086i
$289$	−10.2165	+	11.7905i	−0.600973	+	0.693560i
$290$	3.46541	−	1.54352i	0.203496	−	0.0906386i
$291$	5.70097	+	39.6511i	0.334197	+	2.32439i
$292$	12.8477	−	7.92047i	0.751852	−	0.463510i
$293$	−29.2081	+	13.3389i	−1.70636	+	0.779267i	−0.709110	+	0.705098i	$0.750903\pi$
$293$	−29.2081	+	13.3389i	−1.70636	+	0.779267i	−0.997246	+	0.0741690i	$0.976370\pi$
$294$	−26.9206	+	41.0386i	−1.57004	+	2.39342i
$295$	1.14284	−	2.50248i	0.0665389	−	0.145700i
$296$	0.408486	−	0.172843i	0.0237427	−	0.0100463i
$297$	−4.06531	−	6.32574i	−0.235893	−	0.367057i
$298$	2.27842	−	1.93718i	0.131985	−	0.112218i
$299$	5.19270	−	26.2715i	0.300302	−	1.51932i
$300$	−23.3895	−	3.81158i	−1.35040	−	0.220062i
$301$	27.6558	−	17.7733i	1.59406	−	1.02444i
$302$	8.13625	+	12.9250i	0.468189	+	0.743748i
$303$	−37.4032	−	17.0815i	−2.14876	−	0.981304i
$304$	4.37175	+	0.163942i	0.250737	+	0.00940272i
$305$	−3.02915	−	6.63292i	−0.173449	−	0.379800i
$306$	−7.47918	−	1.14698i	−0.427556	−	0.0655683i
$307$	−7.62425	+	1.09620i	−0.435139	+	0.0625636i	−0.356404	−	0.934332i	$-0.615997\pi$
$307$	−7.62425	+	1.09620i	−0.435139	+	0.0625636i	−0.0787353	+	0.996896i	$0.525088\pi$
$308$	−6.89742	+	14.3836i	−0.393017	+	0.819583i
$309$	−20.2401	−	17.5381i	−1.15142	−	0.997708i
$310$	−0.213990	−	1.59424i	−0.0121538	−	0.0905470i
$311$	11.7025	−	18.2094i	0.663587	−	1.03256i	−0.332407	−	0.943136i	$-0.607861\pi$
$311$	11.7025	−	18.2094i	0.663587	−	1.03256i	0.995994	−	0.0894251i	$-0.0285030\pi$
$312$	−42.6903	−	7.36816i	−2.41686	−	0.417140i
$313$	5.58605	−	19.0244i	0.315742	−	1.07532i	−0.636829	−	0.771005i	$-0.719754\pi$
$313$	5.58605	−	19.0244i	0.315742	−	1.07532i	0.952571	−	0.304315i	$-0.0984275\pi$
$314$	0.00498401	+	0.00440111i	0.000281264	+	0.000248369i
$315$	−12.4993	+	10.8307i	−0.704256	+	0.610241i
$316$	9.55826	−	2.61302i	0.537694	−	0.146994i
$317$	−6.03904	+	1.77322i	−0.339186	+	0.0995941i	−0.446890	−	0.894589i	$-0.647468\pi$
$317$	−6.03904	+	1.77322i	−0.339186	+	0.0995941i	0.107704	+	0.994183i	$0.465650\pi$
$318$	41.4536	−	11.7511i	2.32460	−	0.658967i
$319$	−0.832829	+	5.79245i	−0.0466295	+	0.324315i
$320$	−6.57304	+	0.570490i	−0.367444	+	0.0318913i
$321$		−	44.8524i		−	2.50342i
$322$	24.2432	+	17.7844i	1.35102	+	0.991084i
$323$		−	1.29358i		−	0.0719769i
$324$	−1.67866	−	3.86588i	−0.0932589	−	0.214771i
$325$	−3.43290	+	23.8763i	−0.190423	+	1.32442i
$326$	−0.378348	−	1.33468i	−0.0209547	−	0.0739208i
$327$	−30.6591	+	9.00234i	−1.69545	+	0.497830i
$328$	9.11610	+	6.22744i	0.503352	+	0.343853i
$329$	−4.78222	+	4.14382i	−0.263653	+	0.228456i
$330$	−3.80987	+	4.31446i	−0.209726	+	0.237503i
$331$	4.35858	−	14.8440i	0.239569	−	0.815898i	−0.748665	−	0.662949i	$-0.769305\pi$
$331$	4.35858	−	14.8440i	0.239569	−	0.815898i	0.988234	−	0.152949i	$-0.0488771\pi$
$332$	−8.66240	−	10.3839i	−0.475411	−	0.569892i
$333$	−0.383529	+	0.596782i	−0.0210172	+	0.0327035i
$334$	−3.12747	+	0.419789i	−0.171127	+	0.0229698i
$335$	5.31424	+	4.60482i	0.290348	+	0.251588i
$336$	27.8111	−	39.9036i	1.51722	−	2.17692i
$337$	−14.7761	+	2.12448i	−0.804906	+	0.115728i	−0.532473	−	0.846447i	$-0.678737\pi$
$337$	−14.7761	+	2.12448i	−0.804906	+	0.115728i	−0.272433	+	0.962175i	$0.587828\pi$
$338$	−3.89743	+	25.4143i	−0.211992	+	1.38235i
$339$	−18.0762	−	39.5814i	−0.981765	−	2.14977i
$340$	0.241402	+	1.93588i	0.0130919	+	0.104988i
$341$	2.25710	+	1.03078i	0.122229	+	0.0558200i
$342$	−5.92138	+	3.72750i	−0.320192	+	0.201560i
$343$	−21.0805	+	13.5476i	−1.13824	+	0.731502i
$344$	−17.9568	+	10.8393i	−0.968165	+	0.584417i
$345$	6.66583	+	8.55949i	0.358876	+	0.460828i
$346$	6.68563	+	7.86332i	0.359422	+	0.422735i
$347$	19.4169	+	30.2132i	1.04235	+	1.62193i	0.744877	+	0.667202i	$0.232508\pi$
$347$	19.4169	+	30.2132i	1.04235	+	1.62193i	0.297475	+	0.954730i	$0.403855\pi$
$348$	5.34704	−	17.0234i	0.286631	−	0.912551i
$349$	0.798728	−	1.74897i	0.0427549	−	0.0936202i	−0.887049	−	0.461675i	$-0.847249\pi$
$349$	0.798728	−	1.74897i	0.0427549	−	0.0936202i	0.929804	+	0.368055i	$0.119976\pi$
$350$	−22.6452	−	14.8549i	−1.21044	−	0.794026i
$351$	21.2285	−	9.69475i	1.13310	−	0.517468i
$352$	4.65692	−	9.04974i	0.248215	−	0.482353i
$353$	−2.60730	−	18.1342i	−0.138773	−	0.965185i	−0.933592	−	0.358339i	$-0.883343\pi$
$353$	−2.60730	−	18.1342i	−0.138773	−	0.965185i	0.794819	−	0.606847i	$-0.207566\pi$
$354$	−5.26487	−	11.8203i	−0.279825	−	0.628244i
$355$	0.0393670	−	0.0454319i	0.00208938	−	0.00241128i
$356$	−3.56374	−	3.20688i	−0.188878	−	0.169965i
$357$	−12.0989	−	7.77549i	−0.640342	−	0.411523i
$358$	−0.192523	+	20.5446i	−0.0101751	+	1.08581i
$359$	12.1848	+	3.57778i	0.643088	+	0.188828i	0.586986	−	0.809597i	$-0.300314\pi$
$359$	12.1848	+	3.57778i	0.643088	+	0.188828i	0.0561025	+	0.998425i	$0.482133\pi$
$360$	8.16591	−	6.68334i	0.430381	−	0.352243i
$361$	11.6590	+	13.4552i	0.613632	+	0.708170i
$362$	8.20671	+	3.84122i	0.431335	+	0.201890i
$363$	5.99903	+	20.4308i	0.314867	+	1.07234i
$364$	−41.1405	−	27.5423i	−2.15635	−	1.44361i
$365$	6.16035	+	0.885725i	0.322448	+	0.0463610i
$366$	−32.8163	−	9.97069i	−1.71534	−	0.521176i
$367$	12.1776			0.635665			0.317833	−	0.948147i	$-0.397045\pi$
$367$	12.1776			0.635665			0.317833	+	0.948147i	$0.397045\pi$
$368$	−15.1427	−	11.7771i	−0.789365	−	0.613924i
$369$	−17.6572			−0.919197
$370$	0.175002	+	0.0531715i	0.00909792	+	0.00276425i
$371$	48.7396	+	7.00769i	2.53043	+	0.363821i
$372$	−6.28702	−	4.20896i	−0.325967	−	0.218225i
$373$	1.46017	+	4.97287i	0.0756045	+	0.257485i	0.988619	−	0.150442i	$-0.0480697\pi$
$373$	1.46017	+	4.97287i	0.0756045	+	0.257485i	−0.913014	+	0.407928i	$0.866252\pi$
$374$	−2.72562	−	1.27575i	−0.140939	−	0.0659676i
$375$	−13.8063	−	15.9334i	−0.712956	−	0.822795i
$376$	3.12427	−	2.55704i	0.161122	−	0.131869i
$377$	−17.4268	−	5.11697i	−0.897525	−	0.263537i
$378$	−0.245529	+	26.2010i	−0.0126286	+	1.34763i
$379$	19.3810	+	12.4554i	0.995533	+	0.639790i	0.933610	−	0.358291i	$-0.116640\pi$
$379$	19.3810	+	12.4554i	0.995533	+	0.639790i	0.0619228	+	0.998081i	$0.480277\pi$
$380$	1.34099	+	1.20671i	0.0687914	+	0.0619029i
$381$	−0.690165	+	0.796493i	−0.0353582	+	0.0408056i
$382$	10.0833	+	22.6383i	0.515904	+	1.15827i
$383$	−2.61350	−	18.1773i	−0.133543	−	0.928815i	−0.940884	−	0.338729i	$-0.890003\pi$
$383$	−2.61350	−	18.1773i	−0.133543	−	0.928815i	0.807340	−	0.590086i	$-0.200906\pi$
$384$	−18.4527	+	24.9505i	−0.941661	+	1.27325i
$385$	−5.98348	+	2.73256i	−0.304946	+	0.139264i
$386$	1.96635	+	1.28989i	0.100085	+	0.0656537i
$387$	13.9356	−	30.5147i	0.708386	−	1.55115i
$388$	8.75283	−	27.8665i	0.444357	−	1.41471i
$389$	−10.0620	−	15.6568i	−0.510165	−	0.793832i	0.486649	−	0.873598i	$-0.338219\pi$
$389$	−10.0620	−	15.6568i	−0.510165	−	0.793832i	−0.996814	+	0.0797657i	$0.974583\pi$
$390$	−11.5714	−	13.6097i	−0.585941	−	0.689156i
$391$	−3.31212	+	4.60486i	−0.167501	+	0.232878i
$392$	30.6377	−	18.4939i	1.54744	−	0.934085i
$393$	−28.4289	+	18.2701i	−1.43405	+	0.921606i
$394$	−22.3628	+	14.0773i	−1.12662	+	0.709206i
$395$	3.71682	+	1.69741i	0.187013	+	0.0854062i
$396$	2.01422	+	16.1527i	0.101218	+	0.811703i
$397$	5.47139	+	11.9807i	0.274601	+	0.601293i	0.995812	−	0.0914225i	$-0.0291414\pi$
$397$	5.47139	+	11.9807i	0.274601	+	0.601293i	−0.721211	+	0.692716i	$0.756414\pi$
$398$	−3.43539	+	22.4014i	−0.172201	+	1.12288i
$399$	−13.1638	+	1.89267i	−0.659015	+	0.0947520i
$400$	14.1760	+	9.88010i	0.708802	+	0.494005i
$401$	2.94021	+	2.54771i	0.146827	+	0.127226i	0.725177	−	0.688562i	$-0.241758\pi$
$401$	2.94021	+	2.54771i	0.146827	+	0.127226i	−0.578350	+	0.815789i	$0.696303\pi$
$402$	32.7801	−	4.39996i	1.63492	−	0.219450i
$403$	−4.16355	+	6.47861i	−0.207401	+	0.322722i
$404$	19.2058	+	23.0227i	0.955524	+	1.14542i
$405$	0.489633	−	1.66754i	0.0243300	−	0.0828605i
$406$	13.4977	−	15.2853i	0.669878	−	0.758599i
$407$	−0.213229	+	0.184764i	−0.0105694	+	0.00915842i
$408$	7.57687	+	5.17595i	0.375111	+	0.256248i
$409$	−19.0255	+	5.58639i	−0.940750	+	0.276229i	−0.715931	−	0.698171i	$-0.753997\pi$
$409$	−19.0255	+	5.58639i	−0.940750	+	0.276229i	−0.224820	+	0.974400i	$0.572179\pi$
$410$	1.24160	+	4.37992i	0.0613182	+	0.216309i
$411$	0.826639	−	5.74940i	0.0407751	−	0.283597i
$412$	7.77774	+	17.9118i	0.383182	+	0.882452i
$413$		−	14.7879i		−	0.727667i
$414$	30.6227	+	1.89217i	1.50503	+	0.0929950i
$415$		−	5.57621i		−	0.273725i
$416$	25.7442	+	18.3034i	1.26222	+	0.897400i
$417$	5.11468	−	35.5733i	0.250467	−	1.74203i
$418$	−2.67734	+	0.758961i	−0.130953	+	0.0371220i
$419$	3.24677	−	0.953337i	0.158615	−	0.0465735i	−0.201461	−	0.979497i	$-0.564569\pi$
$419$	3.24677	−	0.953337i	0.158615	−	0.0465735i	0.360076	+	0.932923i	$0.382751\pi$
$420$	19.3468	−	5.28900i	0.944028	−	0.258077i
$421$	10.1159	−	8.76549i	0.493020	−	0.427204i	−0.372535	−	0.928018i	$-0.621511\pi$
$421$	10.1159	−	8.76549i	0.493020	−	0.427204i	0.865555	+	0.500814i	$0.166966\pi$
$422$	5.73818	+	5.06708i	0.279330	+	0.246661i
$423$	−1.81917	+	6.19551i	−0.0884509	+	0.301236i
$424$	−30.9590	−	5.34338i	−1.50350	−	0.259497i
$425$	2.76230	−	4.29822i	0.133991	−	0.208494i
$426$	−0.0376157	−	0.280240i	−0.00182248	−	0.0135777i
$427$	−29.6224	−	25.6680i	−1.43353	−	1.24216i
$428$	−14.1408	+	29.4887i	−0.683523	+	1.42539i
$429$	27.2765	−	3.92176i	1.31692	−	0.189344i
$430$	−8.54916	−	1.31106i	−0.412277	−	0.0632251i
$431$	1.01926	+	2.23187i	0.0490960	+	0.107505i	0.932590	−	0.360936i	$-0.117543\pi$
$431$	1.01926	+	2.23187i	0.0490960	+	0.107505i	−0.883494	+	0.468442i	$0.844816\pi$
$432$	0.626473	−	16.7058i	0.0301412	−	0.803757i
$433$	20.8585	+	9.52577i	1.00240	+	0.457779i	0.847867	−	0.530209i	$-0.177886\pi$
$433$	20.8585	+	9.52577i	1.00240	+	0.457779i	0.154530	+	0.987988i	$0.450614\pi$
$434$	−4.60624	−	7.31731i	−0.221107	−	0.351242i
$435$	6.18986	−	3.97798i	0.296781	−	0.190730i
$436$	22.9954	+	3.74736i	1.10128	+	0.179466i
$437$	0.473832	+	5.22378i	0.0226664	+	0.249887i
$438$	22.3020	−	18.9619i	1.06563	−	0.906033i
$439$	2.06444	+	3.21233i	0.0985303	+	0.153316i	0.887019	−	0.461733i	$-0.152772\pi$
$439$	2.06444	+	3.21233i	0.0985303	+	0.153316i	−0.788488	+	0.615050i	$0.789136\pi$
$440$	3.86509	−	1.63544i	0.184261	−	0.0779665i
$441$	−23.7768	+	52.0639i	−1.13223	+	2.47923i
$442$	5.12305	−	7.80974i	0.243679	−	0.371471i
$443$	−2.96046	+	1.35200i	−0.140656	+	0.0642352i	−0.484499	−	0.874792i	$-0.660998\pi$
$443$	−2.96046	+	1.35200i	−0.140656	+	0.0642352i	0.343844	+	0.939027i	$0.388271\pi$
$444$	0.732306	−	0.451460i	0.0347537	−	0.0214253i
$445$	−0.281347	−	1.95681i	−0.0133371	−	0.0927617i
$446$	−0.839457	+	0.373900i	−0.0397494	+	0.0177047i
$447$	3.79849	−	4.38369i	0.179663	−	0.207342i
$448$	−30.8653	+	17.4669i	−1.45825	+	0.825235i
$449$	−26.8441	−	17.2517i	−1.26685	−	0.814157i	−0.277646	−	0.960683i	$-0.589554\pi$
$449$	−26.8441	−	17.2517i	−1.26685	−	0.814157i	−0.989207	+	0.146526i	$0.953191\pi$
$450$	−27.6348	−	0.258965i	−1.30272	−	0.0122077i
$451$	−6.73819	−	1.97851i	−0.317289	−	0.0931645i
$452$	−0.594589	+	31.7222i	−0.0279671	+	1.49209i
$453$	19.3983	+	22.3868i	0.911411	+	1.05182i
$454$	2.40775	−	5.14413i	0.113001	−	0.241426i
$455$	−5.75168	−	19.5884i	−0.269643	−	0.918320i
$456$	8.42942	−	0.971011i	0.394744	−	0.0454718i
$457$	−35.5544	−	5.11195i	−1.66316	−	0.239127i	−0.754393	−	0.656423i	$-0.772069\pi$
$457$	−35.5544	−	5.11195i	−1.66316	−	0.239127i	−0.908770	+	0.417297i	$0.862978\pi$
$458$	2.96396	−	9.75520i	0.138497	−	0.455830i
$459$	−4.94317			−0.230728
$460$	−1.68394	−	7.72911i	−0.0785140	−	0.360372i
$461$	−0.862391			−0.0401656			−0.0200828	−	0.999798i	$-0.506393\pi$
$461$	−0.862391			−0.0401656			−0.0200828	+	0.999798i	$0.506393\pi$
$462$	−8.99444	+	29.6032i	−0.418459	+	1.37727i
$463$	−27.6822	−	3.98009i	−1.28650	−	0.184971i	−0.535083	−	0.844799i	$-0.679720\pi$
$463$	−27.6822	−	3.98009i	−1.28650	−	0.184971i	−0.751416	+	0.659829i	$0.770629\pi$
$464$	−8.88253	+	9.50646i	−0.412361	+	0.441327i
$465$	−0.878962	−	2.99347i	−0.0407609	−	0.138819i
$466$	−9.42633	+	20.1392i	−0.436666	+	0.932930i
$467$	−13.7903	−	15.9149i	−0.638140	−	0.736453i	0.340905	−	0.940098i	$-0.389267\pi$
$467$	−13.7903	−	15.9149i	−0.638140	−	0.736453i	−0.979045	+	0.203645i	$0.934721\pi$
$468$	−50.5114	−	0.946765i	−2.33489	−	0.0437642i
$469$	36.2668	+	10.6489i	1.67464	+	0.491720i
$470$	1.66473	+	0.0156002i	0.0767883	+	0.000719582i
$471$	0.0108490	+	0.00697221i	0.000499894	+	0.000321262i
$472$	−0.265204	+	9.43131i	−0.0122070	+	0.434111i
$473$	8.73719	−	10.0833i	0.401737	−	0.463629i
$474$	17.5562	−	7.81968i	0.806385	−	0.359170i
$475$	−0.672385	−	4.67654i	−0.0308511	−	0.214574i
$476$	5.50315	+	8.92657i	0.252236	+	0.409148i
$477$	45.7061	−	20.8733i	2.09274	−	0.955721i
$478$	3.96978	−	6.05166i	0.181574	−	0.276796i
$479$	−10.9740	+	24.0296i	−0.501413	+	1.09794i	0.474595	+	0.880205i	$0.342595\pi$
$479$	−10.9740	+	24.0296i	−0.501413	+	1.09794i	−0.976008	+	0.217737i	$0.930133\pi$
$480$	−12.4337	+	3.02620i	−0.567517	+	0.138127i
$481$	−0.473421	−	0.736658i	−0.0215862	−	0.0335887i
$482$	28.8329	−	24.5146i	1.31330	−	1.11661i
$483$	51.7062	+	26.9674i	2.35271	+	1.22706i
$484$	2.49719	−	15.3238i	0.113508	−	0.696537i
$485$	10.1325	−	6.51175i	0.460092	−	0.295683i
$486$	−13.8010	−	21.9238i	−0.626027	−	0.994485i
$487$	29.5720	+	13.5051i	1.34004	+	0.611974i	0.950984	−	0.309241i	$-0.100075\pi$
$487$	29.5720	+	13.5051i	1.34004	+	0.611974i	0.389053	+	0.921215i	$0.372802\pi$
$488$	18.4320	+	16.9015i	0.834375	+	0.765095i
$489$	−1.11774	−	2.44752i	−0.0505461	−	0.110681i
$490$	14.5865	+	2.23692i	0.658951	+	0.101054i
$491$	−38.5590	+	5.54395i	−1.74014	+	0.250195i	−0.937925	−	0.346837i	$-0.887256\pi$
$491$	−38.5590	+	5.54395i	−1.74014	+	0.250195i	−0.802218	+	0.597032i	$0.796347\pi$
$492$	19.3077	+	9.25867i	0.870458	+	0.417413i
$493$	2.90740	+	2.51928i	0.130943	+	0.113463i
$494$	−1.14900	−	8.56013i	−0.0516958	−	0.385139i
$495$	−3.62894	+	5.64674i	−0.163109	+	0.253802i
$496$	2.80649	+	4.74937i	0.126015	+	0.213253i
$497$	0.0910383	−	0.310048i	0.00408363	−	0.0139076i
$498$	−19.6599	−	17.3606i	−0.880981	−	0.777947i
$499$	−12.4654	+	10.8014i	−0.558030	+	0.483536i	−0.887612	−	0.460591i	$-0.847637\pi$
$499$	−12.4654	+	10.8014i	−0.558030	+	0.483536i	0.329583	+	0.944127i	$0.393092\pi$
$500$	4.05375	+	14.8284i	0.181289	+	0.663145i
$501$	−5.87236	+	1.72428i	−0.262358	+	0.0770352i
$502$	−23.8215	+	6.75281i	−1.06321	+	0.301393i
$503$	3.79806	−	26.4161i	0.169347	−	1.17784i	−0.710890	−	0.703303i	$-0.751708\pi$
$503$	3.79806	−	26.4161i	0.169347	−	1.17784i	0.880237	−	0.474533i	$-0.157383\pi$
$504$	25.0039	−	50.9129i	1.11376	−	2.26784i
$505$			12.3633i			0.550158i
$506$	11.4740	+	4.15339i	0.510081	+	0.184641i
$507$			49.8685i			2.21474i
$508$	0.704872	−	0.306072i	0.0312736	−	0.0135798i
$509$	−2.87997	+	20.0306i	−0.127652	+	0.887842i	0.820866	+	0.571121i	$0.193491\pi$
$509$	−2.87997	+	20.0306i	−0.127652	+	0.887842i	−0.948519	+	0.316721i	$0.897418\pi$
$510$	1.03196	+	3.64038i	0.0456959	+	0.161199i
$511$	32.0992	−	9.42518i	1.41999	−	0.416945i
$512$	19.9982	−	10.5864i	0.883805	−	0.467855i
$513$	−3.45453	+	2.99337i	−0.152521	+	0.132161i
$514$	−13.5577	+	15.3534i	−0.598006	+	0.677208i
$515$	−2.26862	+	7.72620i	−0.0999672	+	0.340457i
$516$	−31.2388	+	26.0598i	−1.37521	+	1.14722i
$517$	−1.38843	+	2.16044i	−0.0610631	+	0.0950161i
$518$	0.974413	−	0.130792i	0.0428133	−	0.00574667i
$519$	15.1291	+	13.1094i	0.664094	+	0.575441i
$520$	3.31696	+	12.5961i	0.145458	+	0.552374i
$521$	2.03908	−	0.293176i	0.0893339	−	0.0128443i	−0.0975029	−	0.995235i	$-0.531086\pi$
$521$	2.03908	−	0.293176i	0.0893339	−	0.0128443i	0.186837	+	0.982391i	$0.440176\pi$
$522$	3.15423	−	20.5680i	0.138057	−	0.900238i
$523$	−14.2846	−	31.2790i	−0.624624	−	1.36774i	−0.912108	−	0.409950i	$-0.865546\pi$
$523$	−14.2846	−	31.2790i	−0.624624	−	1.36774i	0.287484	−	0.957785i	$-0.407181\pi$
$524$	24.4510	−	3.04901i	1.06815	−	0.133196i
$525$	−47.7813	−	21.8210i	−2.08535	−	0.952347i
$526$	21.9062	−	13.7899i	0.955156	−	0.601270i
$527$	1.37225	−	0.881891i	0.0597761	−	0.0384158i
$528$	6.26728	−	18.7187i	0.272748	−	0.814628i
$529$	11.6883	−	19.8087i	0.508188	−	0.861246i
$530$	−8.39158	−	9.86977i	−0.364507	−	0.428716i
$531$	−8.15831	−	12.6946i	−0.354040	−	0.550898i
$532$	9.25141	+	2.90586i	0.401100	+	0.125985i
$533$	9.05428	−	19.8261i	0.392185	−	0.858764i
$534$	−7.77502	−	5.10027i	−0.336458	−	0.220710i
$535$	−12.2671	+	5.60219i	−0.530353	+	0.242204i
$536$	−22.9389	−	7.44194i	−0.990808	−	0.321443i
$537$	5.67109	+	39.4433i	0.244726	+	1.70211i
$538$	0.740220	+	1.66189i	0.0319131	+	0.0716493i
$539$	−14.9073	+	17.2040i	−0.642104	+	0.741027i
$540$	4.61120	−	5.12433i	0.198435	−	0.220516i
$541$	28.6871	+	18.4361i	1.23335	+	0.792629i	0.984410	−	0.175889i	$-0.0562801\pi$
$541$	28.6871	+	18.4361i	1.23335	+	0.792629i	0.248944	+	0.968518i	$0.419916\pi$
$542$	0.320511	−	34.2025i	0.0137671	−	1.46912i
$543$	16.8627	+	4.95133i	0.723648	+	0.212482i
$544$	−3.34966	−	5.79179i	−0.143615	−	0.248321i
$545$	6.29155	+	7.26083i	0.269500	+	0.311020i
$546$	−86.9695	−	40.7068i	−3.72195	−	1.74209i
$547$	−0.997135	−	3.39593i	−0.0426344	−	0.145199i	0.935425	−	0.353525i	$-0.115017\pi$
$547$	−0.997135	−	3.39593i	−0.0426344	−	0.145199i	−0.978060	+	0.208325i	$0.933199\pi$
$548$	−2.35612	+	3.51939i	−0.100649	+	0.150341i
$549$	−39.5897	−	5.69215i	−1.68965	−	0.242935i
$550$	−10.5167	−	3.19534i	−0.448436	−	0.136250i
$551$	3.55740			0.151550
$552$	−32.4930	−	18.1263i	−1.38299	−	0.771506i
$553$	21.9639			0.934000
$554$	−22.8613	−	6.94603i	−0.971283	−	0.295108i
$555$	0.351135	+	0.0504856i	0.0149048	+	0.00214299i
$556$	−14.5781	+	21.7756i	−0.618248	+	0.923491i
$557$	0.722075	+	2.45916i	0.0305953	+	0.104198i	0.973375	−	0.229218i	$-0.0736168\pi$
$557$	0.722075	+	2.45916i	0.0305953	+	0.104198i	−0.942780	+	0.333416i	$0.891799\pi$
$558$	−7.99104	−	3.74028i	−0.338288	−	0.158339i
$559$	27.1170	+	31.2947i	1.14693	+	1.32363i
$560$	−14.3873	−	2.62225i	−0.607974	−	0.110810i
$561$	−5.60047	−	1.64445i	−0.236452	−	0.0694285i
$562$	0.370079	−	39.4920i	0.0156108	−	1.66587i
$563$	−16.0919	−	10.3416i	−0.678193	−	0.435848i	0.155678	−	0.987808i	$-0.450244\pi$
$563$	−16.0919	−	10.3416i	−0.678193	−	0.435848i	−0.833871	+	0.551959i	$0.813880\pi$
$564$	5.23787	−	5.82074i	0.220554	−	0.245097i
$565$	−8.56770	+	9.88766i	−0.360446	+	0.415977i
$566$	1.20019	+	2.69460i	0.0504479	+	0.113262i
$567$	−1.32950	−	9.24685i	−0.0558336	−	0.388331i
$568$	−0.0636218	+	0.196107i	−0.00266951	+	0.00822845i
$569$	11.7606	−	5.37091i	0.493032	−	0.225160i	−0.153353	−	0.988171i	$-0.549007\pi$
$569$	11.7606	−	5.37091i	0.493032	−	0.225160i	0.646385	+	0.763011i	$0.276280\pi$
$570$	2.92564	+	1.91917i	0.122541	+	0.0803851i
$571$	4.12028	−	9.02216i	0.172429	−	0.377566i	−0.803612	−	0.595153i	$-0.797091\pi$
$571$	4.12028	−	9.02216i	0.172429	−	0.377566i	0.976041	+	0.217587i	$0.0698187\pi$
$572$	−19.1697	−	6.02117i	−0.801524	−	0.251758i
$573$	25.9867	+	40.4361i	1.08561	+	1.68924i
$574$	15.8512	+	18.6434i	0.661614	+	0.778159i
$575$	−9.58037	+	18.3690i	−0.399529	+	0.766040i
$576$	−16.8598	+	32.0223i	−0.702491	+	1.33426i
$577$	−14.5205	+	9.33175i	−0.604496	+	0.388486i	−0.806790	−	0.590839i	$-0.798797\pi$
$577$	−14.5205	+	9.33175i	−0.604496	+	0.388486i	0.202294	+	0.979325i	$0.435160\pi$
$578$	18.6718	−	11.7539i	0.776643	−	0.488896i
$579$	4.14899	+	1.89478i	0.172426	+	0.0787444i
$580$	−5.32375	+	0.663865i	−0.221057	+	0.0275655i
$581$	−12.4516	−	27.2652i	−0.516579	−	1.13115i
$582$	8.58749	−	55.9972i	0.355963	−	2.32116i
$583$	19.7809	−	2.84406i	0.819239	−	0.117789i
$584$	−20.6409	+	5.43543i	−0.854128	+	0.224920i
$585$	−15.7441	−	13.6424i	−0.650940	−	0.564043i
$586$	45.0065	−	6.04106i	1.85920	−	0.249554i
$587$	2.78713	−	4.33685i	0.115037	−	0.179001i	−0.778960	−	0.627073i	$-0.784253\pi$
$587$	2.78713	−	4.33685i	0.115037	−	0.179001i	0.893998	+	0.448072i	$0.147889\pi$
$588$	53.2994	−	44.4630i	2.19803	−	1.83362i
$589$	0.424961	−	1.44728i	0.0175102	−	0.0596343i
$590$	−2.57526	+	2.91633i	−0.106022	+	0.120064i
$591$	−38.7336	+	33.5629i	−1.59329	+	1.38059i
$592$	−0.623797	+	0.0659403i	−0.0256379	+	0.00271013i
$593$	14.1018	−	4.14067i	0.579093	−	0.170037i	0.0209481	−	0.999781i	$-0.493332\pi$
$593$	14.1018	−	4.14067i	0.579093	−	0.170037i	0.558145	+	0.829744i	$0.311513\pi$
$594$	2.90022	+	10.2309i	0.118997	+	0.419781i
$595$	−0.615403	+	4.28022i	−0.0252291	+	0.175472i
$596$	−3.87943	+	1.68454i	−0.158908	+	0.0690016i
$597$			43.9566i			1.79902i
$598$	−17.8274	+	33.4140i	−0.729015	+	1.36640i
$599$		−	40.6878i		−	1.66246i	−0.555929	−	0.831230i	$-0.687637\pi$
$599$		−	40.6878i		−	1.66246i	0.555929	−	0.831230i	$-0.312363\pi$
$600$	30.0822	+	14.7737i	1.22810	+	0.603133i
$601$	3.99149	−	27.7614i	0.162816	−	1.13241i	−0.730477	−	0.682938i	$-0.760702\pi$
$601$	3.99149	−	27.7614i	0.162816	−	1.13241i	0.893293	−	0.449475i	$-0.148389\pi$
$602$	−44.7292	+	12.6796i	−1.82302	+	0.516783i
$603$	37.0077	−	10.8664i	1.50707	−	0.442516i
$604$	−5.69563	−	20.8343i	−0.231752	−	0.847734i
$605$	4.83851	−	4.19260i	0.196714	−	0.170453i
$606$	43.5889	+	38.4910i	1.77068	+	1.56359i
$607$	−2.87059	+	9.77635i	−0.116514	+	0.396810i	−0.997013	−	0.0772387i	$-0.975390\pi$
$607$	−2.87059	+	9.77635i	−0.116514	+	0.396810i	0.880499	+	0.474048i	$0.157208\pi$
$608$	−5.84816	−	2.01918i	−0.237174	−	0.0818886i
$609$	21.3829	−	33.2724i	0.866478	−	1.34827i
$610$	1.37187	+	10.2206i	0.0555456	+	0.413820i
$611$	−6.02370	−	5.21957i	−0.243693	−	0.211161i
$612$	9.64879	+	4.62691i	0.390029	+	0.187032i
$613$	−24.3144	+	3.49588i	−0.982049	+	0.141197i	−0.614594	−	0.788844i	$-0.710680\pi$
$613$	−24.3144	+	3.49588i	−0.982049	+	0.141197i	−0.367455	+	0.930041i	$0.619771\pi$
$614$	10.7673	+	1.65123i	0.434534	+	0.0666383i
$615$	3.66802	+	8.03185i	0.147909	+	0.323876i
$616$	15.2466	−	16.6273i	0.614305	−	0.669931i
$617$	23.5031	+	10.7335i	0.946200	+	0.432115i	0.827908	−	0.560864i	$-0.189531\pi$
$617$	23.5031	+	10.7335i	0.946200	+	0.432115i	0.118292	+	0.992979i	$0.462258\pi$
$618$	20.1771	+	32.0527i	0.811643	+	1.28935i
$619$	7.36719	−	4.73461i	0.296112	−	0.190300i	−0.384146	−	0.923272i	$-0.625504\pi$
$619$	7.36719	−	4.73461i	0.296112	−	0.190300i	0.680258	+	0.732973i	$0.261868\pi$
$620$	−0.365881	+	2.24521i	−0.0146941	+	0.0901696i
$621$	19.9616	−	1.81066i	0.801033	−	0.0726591i
$622$	−23.3214	+	19.8286i	−0.935104	+	0.795054i
$623$	−5.74519	−	8.93970i	−0.230176	−	0.358161i
$624$	54.7365	+	27.5213i	2.19121	+	1.10173i
$625$	6.33932	−	13.8812i	0.253573	−	0.555247i
$626$	−15.3801	+	23.4459i	−0.614713	+	0.937088i
$627$	−4.90969	+	2.24218i	−0.196074	+	0.0895440i
$628$	−0.00493462	−	0.00800436i	−0.000196913	−	0.000319409i
$629$	0.0263961	+	0.183589i	0.00105248	+	0.00732018i
$630$	21.3660	−	9.51660i	0.851244	−	0.379150i
$631$	−28.0473	+	32.3683i	−1.11654	+	1.28856i	−0.163228	+	0.986588i	$0.552190\pi$
$631$	−28.0473	+	32.3683i	−1.11654	+	1.28856i	−0.953317	+	0.301972i	$0.902355\pi$
$632$	−14.0079	−	0.393896i	−0.557205	−	0.0156683i
$633$	12.4906	+	8.02722i	0.496457	+	0.319054i
$634$	8.90066	+	0.0834079i	0.353490	+	0.00331255i
$635$	0.304044	+	0.0892753i	0.0120656	+	0.00354278i
$636$	−60.9235	−	1.14193i	−2.41577	−	0.0452803i
$637$	−46.2668	−	53.3948i	−1.83316	−	2.11558i
$638$	3.50837	−	7.49557i	0.138898	−	0.296752i
$639$	−0.0928982	−	0.316382i	−0.00367500	−	0.0125159i
$640$	9.12875	+	1.93041i	0.360845	+	0.0763061i
$641$	−20.4643	−	2.94232i	−0.808290	−	0.116214i	−0.274233	−	0.961663i	$-0.588424\pi$
$641$	−20.4643	−	2.94232i	−0.808290	−	0.116214i	−0.534057	+	0.845449i	$0.679333\pi$
$642$	−18.4401	+	60.6913i	−0.727771	+	2.39530i
$643$	−35.9355			−1.41716			−0.708579	−	0.705631i	$-0.750664\pi$
$643$	−35.9355			−1.41716			−0.708579	+	0.705631i	$0.750664\pi$
$644$	−25.4927	−	34.0317i	−1.00455	−	1.34104i
$645$	−16.7753			−0.660528
$646$	−0.531828	+	1.75039i	−0.0209245	+	0.0688682i
$647$	−13.5467	−	1.94771i	−0.532574	−	0.0765726i	−0.129219	−	0.991616i	$-0.541247\pi$
$647$	−13.5467	−	1.94771i	−0.532574	−	0.0765726i	−0.403355	+	0.915044i	$0.632156\pi$
$648$	0.682082	+	5.92121i	0.0267947	+	0.232607i
$649$	−1.69086	−	5.75855i	−0.0663722	−	0.226043i
$650$	14.4614	−	30.8965i	0.567222	−	1.21186i
$651$	−10.9821	−	12.6740i	−0.430423	−	0.496734i
$652$	−0.0367664	+	1.96155i	−0.00143988	+	0.0768200i
$653$	−37.1371	−	10.9044i	−1.45329	−	0.426724i	−0.542660	−	0.839953i	$-0.682583\pi$
$653$	−37.1371	−	10.9044i	−1.45329	−	0.426724i	−0.910627	+	0.413229i	$0.864401\pi$
$654$	45.1871	+	0.423447i	1.76695	+	0.0165581i
$655$	8.54771	+	5.49328i	0.333987	+	0.214640i
$656$	−9.77504	−	12.1744i	−0.381651	−	0.475332i
$657$	22.3555	−	25.7996i	0.872172	−	1.00654i
$658$	8.17464	−	3.64104i	0.318680	−	0.141943i
$659$	1.60741	+	11.1798i	0.0626157	+	0.435502i	0.996881	+	0.0789225i	$0.0251480\pi$
$659$	1.60741	+	11.1798i	0.0626157	+	0.435502i	−0.934265	+	0.356579i	$0.883943\pi$
$660$	6.92906	−	4.27171i	0.269713	−	0.166276i
$661$	17.0343	−	7.77932i	0.662559	−	0.302581i	−0.0556066	−	0.998453i	$-0.517709\pi$
$661$	17.0343	−	7.77932i	0.662559	−	0.302581i	0.718166	+	0.695872i	$0.244982\pi$
$662$	−12.0005	+	18.2939i	−0.466413	+	0.711014i
$663$	7.52549	−	16.4785i	0.292266	−	0.639973i
$664$	7.45228	+	17.6122i	0.289204	+	0.683486i
$665$	2.16184	+	3.36389i	0.0838326	+	0.130446i
$666$	0.764320	−	0.649847i	0.0296168	−	0.0251811i
$667$	−12.6635	−	9.10844i	−0.490334	−	0.352680i
$668$	4.40447	+	0.717758i	0.170414	+	0.0277709i
$669$	−1.49942	+	0.963621i	−0.0579711	+	0.0372558i
$670$	−5.29772	−	8.41577i	−0.204669	−	0.325130i
$671$	−14.4701	−	6.60827i	−0.558612	−	0.255110i
$672$	−54.0377	+	42.5610i	−2.08455	+	1.64183i
$673$	11.4171	+	24.9999i	0.440096	+	0.963677i	0.991581	+	0.129491i	$0.0413345\pi$
$673$	11.4171	+	24.9999i	0.440096	+	0.963677i	−0.551484	+	0.834185i	$0.685938\pi$
$674$	20.8675	+	3.20015i	0.803786	+	0.123265i
$675$	−17.8705	+	2.56939i	−0.687835	+	0.0988957i
$676$	15.7223	−	32.7866i	0.604702	−	1.26102i
$677$	33.7683	+	29.2604i	1.29782	+	1.12457i	0.984588	+	0.174893i	$0.0559578\pi$
$677$	33.7683	+	29.2604i	1.29782	+	1.12457i	0.313234	+	0.949676i	$0.398588\pi$
$678$	8.18655	+	60.9906i	0.314403	+	2.34233i
$679$	35.0027	−	54.4653i	1.34328	−	2.09019i
$680$	0.469246	−	2.71876i	0.0179948	−	0.104260i
$681$	3.10359	−	10.5699i	0.118930	−	0.405038i
$682$	−2.63037	−	2.32274i	−0.100722	−	0.0889424i
$683$	6.03248	−	5.22718i	0.230827	−	0.200012i	−0.531766	−	0.846891i	$-0.678472\pi$
$683$	6.03248	−	5.22718i	0.230827	−	0.200012i	0.762593	+	0.646879i	$0.223926\pi$
$684$	9.54491	−	2.60937i	0.364959	−	0.0997718i
$685$	−1.67571	+	0.492032i	−0.0640254	+	0.0187996i
$686$	34.0945	−	9.66497i	1.30174	−	0.369010i
$687$	2.81424	−	19.5734i	0.107370	−	0.746773i
$688$	28.7543	−	7.28452i	1.09625	−	0.277720i
$689$			62.0238i			2.36292i
$690$	−5.50073	−	14.3227i	−0.209409	−	0.545254i
$691$		−	31.6585i		−	1.20435i	−0.798365	−	0.602174i	$-0.794301\pi$
$691$		−	31.6585i		−	1.20435i	0.798365	−	0.602174i	$-0.205699\pi$
$692$	−5.81373	−	13.3888i	−0.221005	−	0.508965i
$693$	−5.13482	+	35.7134i	−0.195056	+	1.35664i
$694$	−13.8521	−	48.8654i	−0.525820	−	1.85491i
$695$	−10.3681	+	3.04435i	−0.393285	+	0.115479i
$696$	−14.2341	+	20.8367i	−0.539541	+	0.789812i
$697$	−3.48900	+	3.02324i	−0.132155	+	0.114513i
$698$	−1.79984	+	2.03821i	−0.0681248	+	0.0771475i
$699$	−12.1505	+	41.3809i	−0.459576	+	1.56517i
$700$	24.5348	+	29.4107i	0.927328	+	1.11162i
$701$	6.86046	−	10.6751i	0.259116	−	0.403193i	−0.687183	−	0.726484i	$-0.741153\pi$
$701$	6.86046	−	10.6751i	0.259116	−	0.403193i	0.946299	+	0.323292i	$0.104789\pi$
$702$	−32.7109	+	4.39066i	−1.23459	+	0.165715i
$703$	0.129621	+	0.112317i	0.00488873	+	0.00423611i
$704$	−10.0220	+	10.3309i	−0.377720	+	0.389362i
$705$	3.19610	−	0.459530i	0.120372	−	0.0173069i
$706$	−3.92743	+	25.6099i	−0.147811	+	0.963842i
$707$	27.6070	+	60.4508i	1.03827	+	2.27349i
$708$	2.26441	+	18.1591i	0.0851017	+	0.682459i
$709$	−36.3183	−	16.5860i	−1.36396	−	0.622901i	−0.407084	−	0.913391i	$-0.633455\pi$
$709$	−36.3183	−	16.5860i	−1.36396	−	0.622901i	−0.956878	+	0.290490i	$0.906182\pi$
$710$	−0.0719472	+	0.0452907i	−0.00270013	+	0.00169973i
$711$	18.8547	−	12.1172i	0.707106	−	0.454430i
$712$	3.50379	+	5.80450i	0.131310	+	0.217533i
$713$	−5.21842	+	4.06392i	−0.195431	+	0.152195i
$714$	13.1747	+	15.4955i	0.493052	+	0.579904i
$715$	−4.47951	−	6.97025i	−0.167524	−	0.260672i
$716$	8.70695	−	27.7204i	0.325394	−	1.03596i
$717$	5.83140	−	12.7690i	0.217777	−	0.476866i
$718$	−15.0167	−	9.85071i	−0.560420	−	0.367625i
$719$	45.9867	−	21.0014i	1.71501	−	0.783221i	0.718904	−	0.695110i	$-0.244644\pi$
$719$	45.9867	−	21.0014i	1.71501	−	0.783221i	0.996111	−	0.0881113i	$-0.0280831\pi$
$720$	−13.7973	+	5.68622i	−0.514194	+	0.211913i
$721$	6.15996	+	42.8435i	0.229409	+	1.59557i
$722$	−10.2444	−	23.0001i	−0.381257	−	0.855974i
$723$	48.0692	−	55.4748i	1.78771	−	2.06313i
$724$	−9.52555	−	8.57169i	−0.354014	−	0.318564i
$725$	11.8203	+	7.59642i	0.438994	+	0.282124i
$726$	0.282179	−	30.1120i	0.0104726	−	1.11756i
$727$	20.7680	+	6.09804i	0.770243	+	0.226164i	0.643164	−	0.765729i	$-0.277621\pi$
$727$	20.7680	+	6.09804i	0.770243	+	0.226164i	0.127079	+	0.991893i	$0.459440\pi$
$728$	44.3453	+	54.1824i	1.64355	+	2.00814i
$729$	−28.7642	−	33.1956i	−1.06534	−	1.22947i
$730$	−7.97164	−	3.73120i	−0.295044	−	0.138098i
$731$	−2.47105	−	8.41562i	−0.0913951	−	0.311263i
$732$	40.3057	+	26.9834i	1.48974	+	0.997334i
$733$	−36.9361	−	5.31062i	−1.36427	−	0.196152i	−0.579010	−	0.815321i	$-0.696561\pi$
$733$	−36.9361	−	5.31062i	−1.36427	−	0.196152i	−0.785258	+	0.619169i	$0.787470\pi$
$734$	−16.4779	−	5.00655i	−0.608211	−	0.184795i
$735$	28.6219			1.05574
$736$	15.6482	+	22.1616i	0.576799	+	0.816886i
$737$	15.3402			0.565063
$738$	23.8926	+	7.25936i	0.879497	+	0.267221i
$739$	−34.1617	−	4.91171i	−1.25666	−	0.180680i	−0.518365	−	0.855159i	$-0.673459\pi$
$739$	−34.1617	−	4.91171i	−1.25666	−	0.180680i	−0.738294	+	0.674479i	$0.764368\pi$
$740$	−0.214941	−	0.143896i	−0.00790139	−	0.00528973i
$741$	−4.71949	−	16.0731i	−0.173375	−	0.590461i
$742$	−63.0702	−	29.5205i	−2.31538	−	1.08373i
$743$	17.7341	+	20.4663i	0.650601	+	0.750834i	0.981212	−	0.192933i	$-0.0618001\pi$
$743$	17.7341	+	20.4663i	0.650601	+	0.750834i	−0.330611	+	0.943767i	$0.607255\pi$
$744$	6.77676	+	8.28006i	0.248448	+	0.303562i
$745$	−1.67338	−	0.491348i	−0.0613079	−	0.0180016i
$746$	0.0686825	−	7.32928i	0.00251465	−	0.268344i
$747$	−25.7308	−	16.5362i	−0.941439	−	0.605026i
$748$	3.16364	+	2.84684i	0.115674	+	0.104091i
$749$	−47.4710	+	54.7845i	−1.73455	+	2.00178i
$750$	12.1312	+	27.2362i	0.442968	+	0.994524i
$751$	1.22770	+	8.53881i	0.0447993	+	0.311586i	0.999884	+	0.0152519i	$0.00485501\pi$
$751$	1.22770	+	8.53881i	0.0447993	+	0.311586i	−0.955084	+	0.296334i	$0.904236\pi$
$752$	−5.27883	+	2.17555i	−0.192499	+	0.0793340i
$753$	−43.6837	+	19.9497i	−1.59192	+	0.727006i
$754$	21.4771	+	14.0886i	0.782149	+	0.513076i
$755$	3.69987	−	8.10159i	0.134652	−	0.294847i
$756$	11.1042	−	35.3525i	0.403855	−	1.28576i
$757$	−17.8710	−	27.8078i	−0.649532	−	1.01069i	−0.997323	−	0.0731196i	$-0.976705\pi$
$757$	−17.8710	−	27.8078i	−0.649532	−	1.01069i	0.347791	−	0.937572i	$-0.386932\pi$
$758$	−21.1043	−	24.8219i	−0.766542	−	0.901571i
$759$	23.2183	+	4.58922i	0.842770	+	0.166578i
$760$	−1.31843	−	2.18416i	−0.0478245	−	0.0792278i
$761$	39.0050	−	25.0670i	1.41393	−	0.908677i	0.413931	−	0.910308i	$-0.364156\pi$
$761$	39.0050	−	25.0670i	1.41393	−	0.908677i	0.999999	+	0.00163109i	$0.000519193\pi$
$762$	1.26135	−	0.794017i	0.0456938	−	0.0287642i
$763$	46.9762	+	21.4533i	1.70065	+	0.776662i
$764$	−4.33679	−	34.7781i	−0.156899	−	1.25823i
$765$	1.83305	+	4.01382i	0.0662741	+	0.145120i
$766$	−3.93677	+	25.6708i	−0.142241	+	0.927523i
$767$	18.4373	−	2.65089i	0.665734	−	0.0957181i
$768$	35.2269	−	26.1750i	1.27114	−	0.944510i
$769$	8.76607	+	7.59584i	0.316112	+	0.273913i	0.798435	−	0.602080i	$-0.205661\pi$
$769$	8.76607	+	7.59584i	0.316112	+	0.273913i	−0.482323	+	0.875993i	$0.660207\pi$
$770$	9.21988	−	1.23755i	0.332262	−	0.0445983i
$771$	−21.4781	+	33.4205i	−0.773514	+	1.20361i
$772$	−2.13043	−	2.55382i	−0.0766757	−	0.0919139i
$773$	−4.77085	+	16.2480i	−0.171595	+	0.584401i	0.828120	+	0.560551i	$0.189411\pi$
$773$	−4.77085	+	16.2480i	−0.171595	+	0.584401i	−0.999716	+	0.0238498i	$0.992408\pi$
$774$	−31.4022	+	35.5612i	−1.12873	+	1.27822i
$775$	4.50254	−	3.90147i	0.161736	−	0.140145i
$776$	−23.3004	+	34.1086i	−0.836437	+	1.22443i
$777$	1.82963	−	0.537227i	0.0656375	−	0.0192729i
$778$	7.17833	+	25.3226i	0.257355	+	0.907858i
$779$	−0.607546	+	4.22557i	−0.0217676	+	0.151397i
$780$	10.0623	+	23.1732i	0.360290	+	0.829732i
$781$		−	0.131145i		−	0.00469272i
$782$	6.37492	−	4.86929i	0.227967	−	0.174126i
$783$		−	13.5939i		−	0.485807i
$784$	−49.0603	+	12.4288i	−1.75216	+	0.443885i
$785$	0.000551826	−	0.00383803i	1.96955e−5	−	0.000136985i
$786$	45.9794	−	13.0340i	1.64003	−	0.464909i
$787$	−42.4566	+	12.4664i	−1.51341	+	0.444378i	−0.929927	−	0.367744i	$-0.880130\pi$
$787$	−42.4566	+	12.4664i	−1.51341	+	0.444378i	−0.583487	+	0.812123i	$0.698312\pi$
$788$	36.0474	−	9.85458i	1.28414	−	0.351055i
$789$	37.9429	−	32.8777i	1.35080	−	1.17048i
$790$	−4.33150	−	3.82492i	−0.154108	−	0.136084i
$791$	−19.8133	+	67.4778i	−0.704479	+	2.39924i
$792$	3.91531	−	22.6849i	0.139124	−	0.806072i
$793$	26.6922	−	41.5339i	0.947869	−	1.47491i
$794$	−2.47794	−	18.4609i	−0.0879389	−	0.655154i
$795$	−18.9895	−	16.4545i	−0.673490	−	0.583582i
$796$	13.8584	−	28.8998i	0.491198	−	1.02433i
$797$	27.0601	−	3.89065i	0.958516	−	0.137814i	0.354738	−	0.934966i	$-0.384570\pi$
$797$	27.0601	−	3.89065i	0.958516	−	0.137814i	0.603779	+	0.797152i	$0.293661\pi$
$798$	18.5905	+	2.85097i	0.658098	+	0.100923i
$799$	0.701324	+	1.53569i	0.0248111	+	0.0543287i
$800$	−15.1201	−	19.1973i	−0.534576	−	0.678726i
$801$	−9.86381	−	4.50465i	−0.348521	−	0.159164i
$802$	−2.93107	−	4.65619i	−0.103500	−	0.164416i
$803$	11.4220	−	7.34048i	0.403074	−	0.259040i
$804$	−46.1649	−	7.52308i	−1.62811	−	0.265318i
$805$	0.917315	−	17.5099i	0.0323311	−	0.617143i
$806$	8.29738	−	7.05468i	0.292263	−	0.248490i
$807$	1.90770	+	2.96845i	0.0671544	+	0.104494i
$808$	−16.5228	−	39.0488i	−0.581269	−	1.37373i
$809$	−10.1960	+	22.3260i	−0.358471	+	0.784942i	0.641372	+	0.767230i	$0.278365\pi$
$809$	−10.1960	+	22.3260i	−0.358471	+	0.784942i	−0.999843	+	0.0177120i	$0.994362\pi$
$810$	−1.34811	+	2.05510i	−0.0473677	+	0.0722088i
$811$	8.57471	−	3.91594i	0.301099	−	0.137507i	−0.259137	−	0.965841i	$-0.583438\pi$
$811$	8.57471	−	3.91594i	0.301099	−	0.137507i	0.560235	+	0.828333i	$0.310711\pi$
$812$	−24.5484	+	15.1339i	−0.861479	+	0.531095i
$813$	−9.44121	−	65.6651i	−0.331118	−	2.30297i
$814$	0.364490	−	0.162346i	0.0127754	−	0.00569024i
$815$	−0.529784	+	0.611404i	−0.0185575	+	0.0214165i
$816$	−8.12455	−	10.1188i	−0.284416	−	0.354230i
$817$	−6.82303	−	4.38489i	−0.238708	−	0.153408i
$818$	28.0408	+	0.262770i	0.980423	+	0.00918752i
$819$	−107.445	−	31.5487i	−3.75444	−	1.10240i
$820$	0.120654	−	6.43707i	0.00421342	−	0.224792i
$821$	−4.68202	−	5.40333i	−0.163403	−	0.188578i	0.668143	−	0.744033i	$-0.267089\pi$
$821$	−4.68202	−	5.40333i	−0.163403	−	0.188578i	−0.831546	+	0.555455i	$0.812544\pi$
$822$	−3.48229	+	7.43986i	−0.121459	+	0.259495i
$823$	6.85047	+	23.3305i	0.238792	+	0.813252i	0.988466	+	0.151444i	$0.0483923\pi$
$823$	6.85047	+	23.3305i	0.238792	+	0.813252i	−0.749674	+	0.661808i	$0.769790\pi$
$824$	−3.16029	−	27.4348i	−0.110094	−	0.955735i
$825$	−21.1015	−	3.03393i	−0.734659	−	0.105628i
$826$	−6.07974	+	20.0101i	−0.211541	+	0.696240i
$827$	−21.1246			−0.734575			−0.367287	−	0.930108i	$-0.619713\pi$
$827$	−21.1246			−0.734575			−0.367287	+	0.930108i	$0.619713\pi$
$828$	−40.6588	−	15.1502i	−1.41299	−	0.526507i
$829$	−41.8357			−1.45301			−0.726507	−	0.687159i	$-0.758857\pi$
$829$	−41.8357			−1.45301			−0.726507	+	0.687159i	$0.758857\pi$
$830$	−2.29253	+	7.54536i	−0.0795750	+	0.261903i
$831$	−45.8703	−	6.59516i	−1.59122	−	0.228784i
$832$	−27.3104	−	35.3512i	−0.946817	−	1.22558i
$833$	4.21608	+	14.3587i	0.146079	+	0.497498i
$834$	−21.5460	+	46.0328i	−0.746078	+	1.59398i
$835$	1.20506	+	1.39072i	0.0417029	+	0.0481278i
$836$	3.93483	+	0.0737530i	0.136089	+	0.00255080i
$837$	−5.53051	−	1.62390i	−0.191162	−	0.0561304i
$838$	−4.78526	−	0.0448425i	−0.165304	−	0.00154906i
$839$	−28.9123	−	18.5808i	−0.998163	−	0.641481i	−0.0638596	−	0.997959i	$-0.520341\pi$
$839$	−28.9123	−	18.5808i	−0.998163	−	0.641481i	−0.934304	+	0.356478i	$0.883977\pi$
$840$	−28.3533	−	0.797282i	−0.978282	−	0.0275088i
$841$	12.0629	−	13.9213i	0.415961	−	0.480044i
$842$	−17.2919	+	7.70196i	−0.595920	+	0.265427i
$843$	−10.9013	−	75.8204i	−0.375462	−	2.61139i
$844$	−5.68131	−	9.21556i	−0.195559	−	0.317213i
$845$	13.6390	−	6.22871i	0.469195	−	0.214274i
$846$	5.00872	−	7.63545i	0.172203	−	0.262512i
$847$	14.2962	−	31.3043i	0.491223	−	1.07563i
$848$	39.6948	+	19.9584i	1.36313	+	0.685374i
$849$	3.09316	+	4.81305i	0.106157	+	0.165183i
$850$	−5.50488	+	4.68041i	−0.188816	+	0.160537i
$851$	−0.173841	−	0.731706i	−0.00595920	−	0.0250825i
$852$	−0.0643155	+	0.394668i	−0.00220341	+	0.0135211i
$853$	17.1381	−	11.0140i	0.586798	−	0.377112i	−0.213295	−	0.976988i	$-0.568420\pi$
$853$	17.1381	−	11.0140i	0.586798	−	0.377112i	0.800093	+	0.599876i	$0.204783\pi$
$854$	29.5303	+	46.9108i	1.01051	+	1.60526i
$855$	3.71163	+	1.69504i	0.126935	+	0.0579692i
$856$	31.2581	−	34.0886i	1.06838	−	1.16512i
$857$	11.6493	+	25.5084i	0.397932	+	0.871350i	0.997476	+	0.0710078i	$0.0226215\pi$
$857$	11.6493	+	25.5084i	0.397932	+	0.871350i	−0.599544	+	0.800342i	$0.704651\pi$
$858$	−38.5211	−	5.90743i	−1.31509	−	0.201676i
$859$	17.4199	−	2.50460i	0.594359	−	0.0854560i	0.161430	−	0.986884i	$-0.448389\pi$
$859$	17.4199	−	2.50460i	0.594359	−	0.0854560i	0.432929	+	0.901428i	$0.357480\pi$
$860$	11.0291	+	5.28884i	0.376091	+	0.180348i
$861$	35.8700	+	31.0816i	1.22245	+	1.05926i
$862$	−0.461613	−	3.43906i	−0.0157226	−	0.117135i
$863$	−21.7159	+	33.7907i	−0.739219	+	1.15025i	0.244345	+	0.969688i	$0.421427\pi$
$863$	−21.7159	+	33.7907i	−0.739219	+	1.15025i	−0.983564	+	0.180559i	$0.942209\pi$
$864$	−7.71591	+	22.3476i	−0.262500	+	0.760281i
$865$	1.69575	−	5.77520i	0.0576573	−	0.196363i
$866$	−24.3081	−	21.4652i	−0.826023	−	0.729416i
$867$	32.3406	−	28.0233i	1.09835	−	0.951722i
$868$	3.22452	+	11.7951i	0.109447	+	0.400351i
$869$	8.55292	−	2.51136i	0.290138	−	0.0851922i
$870$	−10.0112	+	2.83792i	−0.339410	+	0.0962146i
$871$	−6.77565	+	47.1257i	−0.229584	+	1.59679i
$872$	−29.5753	−	14.5247i	−1.00155	−	0.491870i
$873$		−	66.0657i		−	2.23599i
$874$	1.50648	−	7.26328i	0.0509575	−	0.245684i
$875$			34.0740i			1.15191i
$876$	−37.9734	+	16.4890i	−1.28300	+	0.557111i
$877$	−3.64245	+	25.3338i	−0.122997	+	0.855462i	0.831134	+	0.556072i	$0.187692\pi$
$877$	−3.64245	+	25.3338i	−0.122997	+	0.855462i	−0.954131	+	0.299390i	$0.903217\pi$
$878$	−1.47279	−	5.19546i	−0.0497041	−	0.175338i
$879$	84.5074	−	24.8136i	2.85037	−	0.836943i
$880$	−5.90236	+	0.623926i	−0.198968	+	0.0210325i
$881$	−15.5057	+	13.4358i	−0.522402	+	0.452664i	−0.875706	−	0.482845i	$-0.839604\pi$
$881$	−15.5057	+	13.4358i	−0.522402	+	0.452664i	0.353304	+	0.935508i	$0.385058\pi$
$882$	53.5781	−	60.6741i	1.80407	−	2.04300i
$883$	−4.95762	+	16.8841i	−0.166837	+	0.568195i	0.833050	+	0.553197i	$0.186592\pi$
$883$	−4.95762	+	16.8841i	−0.166837	+	0.568195i	−0.999888	+	0.0149979i	$0.995226\pi$
$884$	−10.1430	+	8.46140i	−0.341145	+	0.284588i
$885$	−4.07970	+	6.34814i	−0.137138	+	0.213390i
$886$	4.56174	−	0.612306i	0.153255	−	0.0205708i
$887$	40.3315	+	34.9474i	1.35420	+	1.17342i	0.967985	+	0.251009i	$0.0807624\pi$
$887$	40.3315	+	34.9474i	1.35420	+	1.17342i	0.386213	+	0.922410i	$0.373783\pi$
$888$	−1.17652	+	0.309815i	−0.0394813	+	0.0103967i
$889$	1.68599	−	0.242409i	0.0565463	−	0.00813013i
$890$	−0.423799	+	2.76350i	−0.0142058	+	0.0926327i
$891$	−1.57501	−	3.44878i	−0.0527647	−	0.115539i
$892$	1.28962	−	0.160814i	0.0431797	−	0.00538444i
$893$	1.42007	+	0.648522i	0.0475207	+	0.0217020i
$894$	−6.94213	+	4.37006i	−0.232180	+	0.146157i
$895$	10.0794	−	6.47763i	0.336917	−	0.216523i
$896$	48.9461	−	10.9455i	1.63517	−	0.365664i
$897$	−24.3536	+	69.3005i	−0.813144	+	2.31388i
$898$	29.2311	+	34.3802i	0.975454	+	1.14728i
$899$	2.42523	+	3.77374i	0.0808860	+	0.125861i
$900$	37.2871	+	11.7118i	1.24290	+	0.390395i
$901$	5.45748	−	11.9502i	0.181815	−	0.398119i
$902$	8.30426	+	5.44745i	0.276502	+	0.181380i
$903$	−82.0240	+	37.4591i	−2.72959	+	1.24656i
$904$	13.8464	−	42.6800i	0.460526	−	1.41952i
$905$	−0.752013	−	5.23037i	−0.0249978	−	0.173863i
$906$	−17.0446	−	38.2675i	−0.566271	−	1.27135i
$907$	5.48617	−	6.33138i	0.182165	−	0.210230i	−0.657321	−	0.753611i	$-0.728310\pi$
$907$	5.48617	−	6.33138i	0.182165	−	0.210230i	0.839487	+	0.543381i	$0.182856\pi$
$908$	−5.37291	+	5.97080i	−0.178306	+	0.198148i
$909$	57.0488	+	36.6631i	1.89219	+	1.21604i
$910$	−0.270545	+	28.8705i	−0.00896847	+	0.957047i
$911$	−14.1460	−	4.15364i	−0.468677	−	0.137616i	0.0388621	−	0.999245i	$-0.487627\pi$
$911$	−14.1460	−	4.15364i	−0.468677	−	0.137616i	−0.507539	+	0.861628i	$0.669445\pi$
$912$	−11.8054	−	2.15166i	−0.390914	−	0.0712486i
$913$	−7.96627	−	9.19356i	−0.263645	−	0.304262i
$914$	46.0082	+	21.5345i	1.52182	+	0.712299i
$915$	5.63496	+	19.1909i	0.186286	+	0.634433i
$916$	−8.02126	+	11.9815i	−0.265030	+	0.395881i
$917$	54.0609	+	7.77279i	1.78525	+	0.256680i
$918$	6.68878	+	2.03228i	0.220763	+	0.0670751i
$919$	−6.04251			−0.199324			−0.0996620	−	0.995021i	$-0.531776\pi$
$919$	−6.04251			−0.199324			−0.0996620	+	0.995021i	$0.531776\pi$
$920$	−0.899055	+	11.1508i	−0.0296409	+	0.367632i
$921$	21.1279			0.696187
$922$	1.16693	+	0.354553i	0.0384309	+	0.0116766i
$923$	0.402882	+	0.0579256i	0.0132610	+	0.00190665i
$924$	24.3414	−	36.3593i	0.800773	−	1.19613i
$925$	0.190854	+	0.649988i	0.00627523	+	0.0213715i
$926$	35.8214	+	16.7665i	1.17716	+	0.550982i
$927$	28.9241	+	33.3802i	0.949993	+	1.09635i
$928$	15.9276	−	9.21168i	0.522850	−	0.302388i
$929$	50.5492	+	14.8426i	1.65846	+	0.486969i	0.970966	−	0.239216i	$-0.0768905\pi$
$929$	50.5492	+	14.8426i	1.65846	+	0.486969i	0.687499	+	0.726186i	$0.258709\pi$
$930$	−0.0413441	+	4.41193i	−0.00135573	+	0.144673i
$931$	11.6414	+	7.48147i	0.381531	+	0.245195i
$932$	21.0349	−	23.3756i	0.689020	−	0.765694i
$933$	−38.8806	+	44.8707i	−1.27290	+	1.46900i
$934$	12.1171	+	27.2046i	0.396484	+	0.890160i
$935$	0.249760	+	1.73712i	0.00816802	+	0.0568098i
$936$	67.9595	+	22.0477i	2.22133	+	0.720653i
$937$	18.1589	−	8.29287i	0.593224	−	0.270916i	−0.0960975	−	0.995372i	$-0.530636\pi$
$937$	18.1589	−	8.29287i	0.593224	−	0.270916i	0.689321	+	0.724456i	$0.257909\pi$
$938$	−44.6958	−	29.3197i	−1.45937	−	0.957321i
$939$	−22.5926	+	49.4708i	−0.737281	+	1.61442i
$940$	−2.24619	−	0.705526i	−0.0732627	−	0.0230117i
$941$	−13.5197	−	21.0371i	−0.440731	−	0.685790i	0.547834	−	0.836587i	$-0.315452\pi$
$941$	−13.5197	−	21.0371i	−0.440731	−	0.685790i	−0.988565	+	0.150797i	$0.951816\pi$
$942$	−0.0118136	−	0.0138946i	−0.000384909	−	0.000452712i
$943$	12.9820	−	13.4865i	0.422751	−	0.439181i
$944$	4.23633	−	12.6528i	0.137881	−	0.411813i
$945$	12.8545	−	8.26106i	0.418155	−	0.268732i
$946$	−15.9681	+	10.0519i	−0.519168	+	0.326816i
$947$	−5.12008	−	2.33826i	−0.166380	−	0.0759833i	0.330484	−	0.943812i	$-0.392788\pi$
$947$	−5.12008	−	2.33826i	−0.166380	−	0.0759833i	−0.496864	+	0.867828i	$0.665515\pi$
$948$	−26.9709	+	3.36323i	−0.875973	+	0.109233i
$949$	17.5052	+	38.3311i	0.568244	+	1.24428i
$950$	−1.01283	+	6.60442i	−0.0328605	+	0.214276i
$951$	17.0883	−	2.45692i	0.554126	−	0.0796712i
$952$	−3.77655	−	14.3413i	−0.122399	−	0.464806i
$953$	−30.5473	−	26.4694i	−0.989525	−	0.857428i	0.000259435	−	1.00000i	$-0.499917\pi$
$953$	−30.5473	−	26.4694i	−0.989525	−	0.857428i	−0.989784	+	0.142572i	$0.954463\pi$
$954$	−70.4281	+	9.45331i	−2.28019	+	0.306062i
$955$	7.81342	−	12.1579i	0.252836	−	0.393421i
$956$	−7.85965	+	6.55662i	−0.254199	+	0.212056i
$957$	4.52229	−	15.4015i	0.146185	−	0.497859i
$958$	24.7285	−	28.0036i	0.798941	−	0.904756i
$959$	−7.09476	+	6.14764i	−0.229102	+	0.198518i
$960$	18.0686	+	1.01696i	0.583161	+	0.0328224i
$961$	−27.9193	+	8.19784i	−0.900622	+	0.264446i
$962$	0.337742	+	1.19143i	0.0108893	+	0.0384134i
$963$	−10.5272	+	73.2183i	−0.339235	+	2.35943i
$964$	−49.0935	+	21.3176i	−1.58119	+	0.686593i
$965$		−	1.37141i		−	0.0441472i
$966$	−58.8784	−	57.7484i	−1.89438	−	1.85802i
$967$		−	12.8682i		−	0.413812i	−0.978361	−	0.206906i	$-0.933661\pi$
$967$		−	12.8682i		−	0.413812i	0.978361	−	0.206906i	$-0.0663395\pi$
$968$	−9.67908	+	19.7085i	−0.311097	+	0.633456i
$969$	−0.504963	+	3.51210i	−0.0162218	+	0.112825i
$970$	−16.3878	+	4.64553i	−0.526180	+	0.149159i
$971$	36.0764	−	10.5930i	1.15775	−	0.339945i	0.354189	−	0.935174i	$-0.384757\pi$
$971$	36.0764	−	10.5930i	1.15775	−	0.339945i	0.803556	+	0.595229i	$0.202939\pi$
$972$	9.66116	+	35.3399i	0.309882	+	1.13353i
$973$	−43.8975	+	38.0374i	−1.40729	+	1.21942i
$974$	−34.4626	−	30.4321i	−1.10425	−	0.975107i
$975$	18.6407	−	63.4845i	0.596981	−	2.03313i
$976$	−17.9922	−	30.4479i	−0.575918	−	0.974613i
$977$	−20.1276	+	31.3192i	−0.643940	+	1.00199i	0.353835	+	0.935308i	$0.384878\pi$
$977$	−20.1276	+	31.3192i	−0.643940	+	1.00199i	−0.997774	+	0.0666817i	$0.978759\pi$
$978$	0.506216	+	3.77136i	0.0161870	+	0.120595i
$979$	−3.25940	−	2.82428i	−0.104171	−	0.0902645i
$980$	−18.8178	−	9.02377i	−0.601114	−	0.288254i
$981$	52.1618	−	7.49973i	1.66540	−	0.239448i
$982$	54.4548	+	8.35096i	1.73772	+	0.266490i
$983$	−21.4473	−	46.9631i	−0.684063	−	1.49789i	−0.858280	−	0.513181i	$-0.828467\pi$
$983$	−21.4473	−	46.9631i	−0.684063	−	1.49789i	0.174217	−	0.984707i	$-0.444260\pi$
$984$	−22.3194	−	20.4662i	−0.711517	−	0.652437i
$985$	14.0174	+	6.40151i	0.446630	+	0.203969i
$986$	−2.89836	−	4.60423i	−0.0923026	−	0.146629i
$987$	14.6014	−	9.38375i	0.464768	−	0.298688i
$988$	−1.96456	+	12.0554i	−0.0625010	+	0.383533i
$989$	13.0612	+	33.0790i	0.415323	+	1.05185i
$990$	7.23198	−	6.14885i	0.229847	−	0.195423i
$991$	−18.1087	−	28.1777i	−0.575242	−	0.895094i	0.424705	−	0.905332i	$-0.360378\pi$
$991$	−18.1087	−	28.1777i	−0.575242	−	0.895094i	−0.999948	+	0.0102373i	$0.996741\pi$
$992$	−1.84497	−	7.58036i	−0.0585778	−	0.240677i
$993$	−17.6281	+	38.6002i	−0.559411	+	1.22494i
$994$	−0.250656	+	0.382108i	−0.00795034	+	0.0121197i
$995$	12.0221	−	5.49031i	0.381126	−	0.174054i
$996$	19.4651	+	31.5740i	0.616775	+	1.00046i
$997$	−5.03251	−	35.0019i	−0.159381	−	1.10852i	−0.899777	−	0.436350i	$-0.856271\pi$
$997$	−5.03251	−	35.0019i	−0.159381	−	1.10852i	0.740396	−	0.672171i	$-0.234638\pi$
$998$	21.3082	−	9.49082i	0.674498	−	0.300427i
$999$	0.429197	−	0.495320i	0.0135792	−	0.0156712i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	92.2.h.a.11.2	✓	100
3.2	odd	2		828.2.u.a.379.9		100
4.3	odd	2	inner	92.2.h.a.11.6	yes	100
12.11	even	2		828.2.u.a.379.5		100
23.21	odd	22	inner	92.2.h.a.67.6	yes	100
69.44	even	22		828.2.u.a.343.5		100
92.67	even	22	inner	92.2.h.a.67.2	yes	100
276.251	odd	22		828.2.u.a.343.9		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
92.2.h.a.11.2	✓	100	1.1	even	1	trivial
92.2.h.a.11.6	yes	100	4.3	odd	2	inner
92.2.h.a.67.2	yes	100	92.67	even	22	inner
92.2.h.a.67.6	yes	100	23.21	odd	22	inner
828.2.u.a.343.5		100	69.44	even	22
828.2.u.a.343.9		100	276.251	odd	22
828.2.u.a.379.5		100	12.11	even	2
828.2.u.a.379.9		100	3.2	odd	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:	\( N \)	\(=\)	\( 92 = 2^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	92.h (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.35313 - 0.411128i) q^{2} +(-2.71502 - 0.390360i) q^{3} +(1.66195 + 1.11262i) q^{4} +(0.232350 + 0.791311i) q^{5} +(3.51329 + 1.64443i) q^{6} +(2.90308 + 3.35033i) q^{7} +(-1.79141 - 2.18880i) q^{8} +(4.34045 + 1.27447i) q^{9} +O(q^{10})\)	\(q+(-1.35313 - 0.411128i) q^{2} +(-2.71502 - 0.390360i) q^{3} +(1.66195 + 1.11262i) q^{4} +(0.232350 + 0.791311i) q^{5} +(3.51329 + 1.64443i) q^{6} +(2.90308 + 3.35033i) q^{7} +(-1.79141 - 2.18880i) q^{8} +(4.34045 + 1.27447i) q^{9} +(0.0109292 - 1.16628i) q^{10} +(1.51356 + 0.972706i) q^{11} +(-4.07789 - 3.66955i) q^{12} +(-3.65672 + 4.22008i) q^{13} +(-2.55084 - 5.72698i) q^{14} +(-0.321937 - 2.23912i) q^{15} +(1.52414 + 3.69824i) q^{16} +(1.07587 - 0.491333i) q^{17} +(-5.34924 - 3.50901i) q^{18} +(0.454341 - 0.994869i) q^{19} +(-0.494277 + 1.57364i) q^{20} +(-6.57406 - 10.2294i) q^{21} +(-1.64814 - 1.93847i) q^{22} +(-4.16463 + 2.37820i) q^{23} +(4.00928 + 6.64192i) q^{24} +(3.63408 - 2.33548i) q^{25} +(6.68303 - 4.20696i) q^{26} +(-3.80170 - 1.73618i) q^{27} +(1.09711 + 8.79810i) q^{28} +(1.35119 + 2.95868i) q^{29} +(-0.484941 + 3.16219i) q^{30} +(1.36511 - 0.196274i) q^{31} +(-0.541921 - 5.63084i) q^{32} +(-3.72963 - 3.23175i) q^{33} +(-1.65780 + 0.222520i) q^{34} +(-1.97662 + 3.07569i) q^{35} +(5.79559 + 6.94738i) q^{36} +(-0.0441808 + 0.150466i) q^{37} +(-1.02380 + 1.15940i) q^{38} +(11.5754 - 10.0301i) q^{39} +(1.31579 - 1.92613i) q^{40} +(-3.74516 + 1.09968i) q^{41} +(4.68999 + 16.5446i) q^{42} +(1.05536 - 7.34019i) q^{43} +(1.43320 + 3.30061i) q^{44} +3.73077i q^{45} +(6.61305 - 1.50583i) q^{46} +1.42739i q^{47} +(-2.69442 - 10.6357i) q^{48} +(-1.80065 + 12.5238i) q^{49} +(-5.87758 + 1.66615i) q^{50} +(-3.11280 + 0.914001i) q^{51} +(-10.7726 + 2.94501i) q^{52} +(8.39447 - 7.27385i) q^{53} +(4.43042 + 3.91226i) q^{54} +(-0.418038 + 1.42371i) q^{55} +(2.13260 - 12.3561i) q^{56} +(-1.62190 + 2.52373i) q^{57} +(-0.611939 - 4.55901i) q^{58} +(-2.52102 - 2.18448i) q^{59} +(1.95626 - 4.07950i) q^{60} +(-8.75165 + 1.25830i) q^{61} +(-1.92788 - 0.295651i) q^{62} +(8.33075 + 18.2418i) q^{63} +(-1.58170 + 7.84208i) q^{64} +(-4.18904 - 1.91307i) q^{65} +(3.71804 + 5.90634i) q^{66} +(7.17273 - 4.60963i) q^{67} +(2.33471 + 0.380467i) q^{68} +(12.2354 - 4.83114i) q^{69} +(3.93914 - 3.34917i) q^{70} +(-0.0394082 - 0.0613203i) q^{71} +(-4.98596 - 11.7835i) q^{72} +(3.13491 - 6.86450i) q^{73} +(0.121643 - 0.185437i) q^{74} +(-10.7783 + 4.92227i) q^{75} +(1.86200 - 1.14791i) q^{76} +(1.13510 + 7.89476i) q^{77} +(-19.7868 + 8.81317i) q^{78} +(3.24451 - 3.74436i) q^{79} +(-2.57233 + 2.06536i) q^{80} +(-1.77278 - 1.13930i) q^{81} +(5.51982 + 0.0517261i) q^{82} +(-6.48746 - 1.90489i) q^{83} +(0.455755 - 24.3152i) q^{84} +(0.638776 + 0.737187i) q^{85} +(-4.44580 + 9.49838i) q^{86} +(-2.51354 - 8.56032i) q^{87} +(-0.582347 - 5.05540i) q^{88} +(-2.37270 - 0.341143i) q^{89} +(1.53382 - 5.04823i) q^{90} -24.7544 q^{91} +(-9.56744 - 0.681220i) q^{92} -3.78292 q^{93} +(0.586840 - 1.93145i) q^{94} +(0.892817 + 0.128368i) q^{95} +(-0.726731 + 15.4994i) q^{96} +(-4.11453 - 14.0128i) q^{97} +(7.58538 - 16.2060i) q^{98} +(5.32984 + 6.15097i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9}+O(q^{10}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25} + 12 q^{26} - 11 q^{28} - 42 q^{29} - 11 q^{30} - 27 q^{32} - 22 q^{33} + 11 q^{34} + 77 q^{36} - 22 q^{37} + 44 q^{38} + 77 q^{40} - 10 q^{41} + 99 q^{42} + 66 q^{44} + 65 q^{46} + 38 q^{48} - 8 q^{49} + 30 q^{50} + 96 q^{52} - 22 q^{53} + 48 q^{54} + 44 q^{56} - 22 q^{57} + 79 q^{58} + 11 q^{60} - 22 q^{61} - 36 q^{62} + 10 q^{64} - 22 q^{65} - 44 q^{66} - 10 q^{69} + 34 q^{70} - 21 q^{72} - 18 q^{73} - 22 q^{74} - 66 q^{76} + 122 q^{77} - 66 q^{78} - 110 q^{80} + 8 q^{81} - 122 q^{82} - 165 q^{84} + 54 q^{85} - 121 q^{86} - 99 q^{88} + 22 q^{89} - 198 q^{90} - 86 q^{92} + 212 q^{93} - 61 q^{94} - 147 q^{96} + 22 q^{97} - 71 q^{98}+O(q^{100}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

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