LMFDB - Embedded newform 504.2.cq.a.277.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(277,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))

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

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

chi := DirichletCharacter("504.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cq (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			277.19
Character	$\chi$	$=$	504.277
Dual form			504.2.cq.a.373.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.15465 - 0.816568i) q^{2} +(-1.68787 + 0.388703i) q^{3} +(0.666434 + 1.88570i) q^{4} +(-1.19505 - 0.689965i) q^{5} +(2.26630 + 0.929446i) q^{6} +(0.677727 + 2.55748i) q^{7} +(0.770303 - 2.72151i) q^{8} +(2.69782 - 1.31216i) q^{9} +O(q^{10})$	\(q+(-1.15465 - 0.816568i) q^{2} +(-1.68787 + 0.388703i) q^{3} +(0.666434 + 1.88570i) q^{4} +(-1.19505 - 0.689965i) q^{5} +(2.26630 + 0.929446i) q^{6} +(0.677727 + 2.55748i) q^{7} +(0.770303 - 2.72151i) q^{8} +(2.69782 - 1.31216i) q^{9} +(0.816467 + 1.77251i) q^{10} +(-4.61761 + 2.66598i) q^{11} +(-1.85783 - 2.92377i) q^{12} +(2.70458 - 1.56149i) q^{13} +(1.30581 - 3.50640i) q^{14} +(2.28529 + 0.700052i) q^{15} +(-3.11173 + 2.51339i) q^{16} +(-0.523613 + 0.906924i) q^{17} +(-4.18651 - 0.687867i) q^{18} +(4.62661 - 2.67117i) q^{19} +(0.504642 - 2.71333i) q^{20} +(-2.13801 - 4.05326i) q^{21} +(7.50867 + 0.692318i) q^{22} +(0.657835 - 1.13940i) q^{23} +(-0.242314 + 4.89298i) q^{24} +(-1.54790 - 2.68103i) q^{25} +(-4.39790 - 0.405497i) q^{26} +(-4.04353 + 3.26341i) q^{27} +(-4.37097 + 2.98238i) q^{28} +(-6.52907 - 3.76956i) q^{29} +(-2.06707 - 2.67441i) q^{30} -7.81064 q^{31} +(5.64531 - 0.361149i) q^{32} +(6.75765 - 6.29470i) q^{33} +(1.34515 - 0.619615i) q^{34} +(0.954649 - 3.52393i) q^{35} +(4.27226 + 4.21281i) q^{36} +(-7.57686 + 4.37450i) q^{37} +(-7.52331 - 0.693668i) q^{38} +(-3.95802 + 3.68687i) q^{39} +(-2.79830 + 2.72088i) q^{40} +(-1.93547 - 3.35232i) q^{41} +(-0.841101 + 6.42593i) q^{42} +(-6.44514 - 3.72111i) q^{43} +(-8.10456 - 6.93072i) q^{44} +(-4.12939 - 0.293299i) q^{45} +(-1.68997 + 0.778446i) q^{46} +2.99635 q^{47} +(4.27524 - 5.45182i) q^{48} +(-6.08137 + 3.46654i) q^{49} +(-0.401968 + 4.35962i) q^{50} +(0.531267 - 1.73430i) q^{51} +(4.74692 + 4.05939i) q^{52} +(3.05041 + 1.76115i) q^{53} +(7.33366 - 0.466275i) q^{54} +7.35772 q^{55} +(7.48226 + 0.125589i) q^{56} +(-6.77083 + 6.30697i) q^{57} +(4.46069 + 9.68395i) q^{58} -5.64936i q^{59} +(0.202908 + 4.77591i) q^{60} -7.47032i q^{61} +(9.01856 + 6.37792i) q^{62} +(5.18420 + 6.01033i) q^{63} +(-6.81327 - 4.19278i) q^{64} -4.30949 q^{65} +(-12.9428 + 1.75010i) q^{66} +2.47483i q^{67} +(-2.05914 - 0.382972i) q^{68} +(-0.667452 + 2.17887i) q^{69} +(-3.97982 + 3.28937i) q^{70} -5.37533 q^{71} +(-1.49292 - 8.35291i) q^{72} +(5.31294 - 9.20228i) q^{73} +(12.3207 + 1.13600i) q^{74} +(3.65477 + 3.92357i) q^{75} +(8.12036 + 6.94423i) q^{76} +(-9.94765 - 10.0026i) q^{77} +(7.58071 - 1.02505i) q^{78} -12.7046 q^{79} +(5.45284 - 0.856654i) q^{80} +(5.55647 - 7.07995i) q^{81} +(-0.502614 + 5.45120i) q^{82} +(7.37390 + 4.25733i) q^{83} +(6.21838 - 6.73288i) q^{84} +(1.25149 - 0.722549i) q^{85} +(4.40335 + 9.55947i) q^{86} +(12.4855 + 3.82467i) q^{87} +(3.69853 + 14.6205i) q^{88} +(-4.71725 - 8.17052i) q^{89} +(4.52850 + 3.71058i) q^{90} +(5.82643 + 5.85862i) q^{91} +(2.58698 + 0.481142i) q^{92} +(13.1834 - 3.03602i) q^{93} +(-3.45974 - 2.44672i) q^{94} -7.37207 q^{95} +(-9.38819 + 2.80392i) q^{96} +(6.76934 - 11.7248i) q^{97} +(9.85252 + 0.963208i) q^{98} +(-8.95928 + 13.2514i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−1.15465	−	0.816568i	−0.816461	−	0.577401i
$2$	−1.15465	−	0.816568i	−0.816461	−	0.577401i
$3$	−1.68787	+	0.388703i	−0.974493	+	0.224418i
$3$	−1.68787	+	0.388703i	−0.974493	+	0.224418i
$4$	0.666434	+	1.88570i	0.333217	+	0.942850i
$5$	−1.19505	−	0.689965i	−0.534445	−	0.308562i	0.208380	−	0.978048i	$-0.433181\pi$
$5$	−1.19505	−	0.689965i	−0.534445	−	0.308562i	−0.742825	+	0.669486i	$0.766514\pi$
$6$	2.26630	+	0.929446i	0.925214	+	0.379445i
$7$	0.677727	+	2.55748i	0.256157	+	0.966635i
$7$	0.677727	+	2.55748i	0.256157	+	0.966635i
$8$	0.770303	−	2.72151i	0.272343	−	0.962200i
$9$	2.69782	−	1.31216i	0.899274	−	0.437387i
$10$	0.816467	+	1.77251i	0.258190	+	0.560517i
$11$	−4.61761	+	2.66598i	−1.39226	+	0.803822i	−0.993565	−	0.113262i	$-0.963870\pi$
$11$	−4.61761	+	2.66598i	−1.39226	+	0.803822i	−0.398695	+	0.917084i	$0.630537\pi$
$12$	−1.85783	−	2.92377i	−0.536310	−	0.844021i
$13$	2.70458	−	1.56149i	0.750114	−	0.433079i	−0.0756210	−	0.997137i	$-0.524094\pi$
$13$	2.70458	−	1.56149i	0.750114	−	0.433079i	0.825735	+	0.564058i	$0.190761\pi$
$14$	1.30581	−	3.50640i	0.348994	−	0.937125i
$15$	2.28529	+	0.700052i	0.590059	+	0.180753i
$16$	−3.11173	+	2.51339i	−0.777933	+	0.628348i
$17$	−0.523613	+	0.906924i	−0.126995	+	0.219961i	−0.922511	−	0.385971i	$-0.873866\pi$
$17$	−0.523613	+	0.906924i	−0.126995	+	0.219961i	0.795516	+	0.605932i	$0.207200\pi$
$18$	−4.18651	−	0.687867i	−0.986769	−	0.162132i
$19$	4.62661	−	2.67117i	1.06142	−	0.612809i	0.135593	−	0.990765i	$-0.456706\pi$
$19$	4.62661	−	2.67117i	1.06142	−	0.612809i	0.925824	+	0.377955i	$0.123373\pi$
$20$	0.504642	−	2.71333i	0.112841	−	0.606719i
$21$	−2.13801	−	4.05326i	−0.466553	−	0.884493i
$22$	7.50867	+	0.692318i	1.60085	+	0.147603i
$23$	0.657835	−	1.13940i	0.137168	−	0.237582i	−0.789255	−	0.614065i	$-0.789533\pi$
$23$	0.657835	−	1.13940i	0.137168	−	0.237582i	0.926424	+	0.376483i	$0.122867\pi$
$24$	−0.242314	+	4.89298i	−0.0494621	+	0.998776i
$25$	−1.54790	−	2.68103i	−0.309579	−	0.536207i
$26$	−4.39790	−	0.405497i	−0.862499	−	0.0795245i
$27$	−4.04353	+	3.26341i	−0.778179	+	0.628043i
$28$	−4.37097	+	2.98238i	−0.826036	+	0.563617i
$29$	−6.52907	−	3.76956i	−1.21242	−	0.699990i	−0.249132	−	0.968469i	$-0.580145\pi$
$29$	−6.52907	−	3.76956i	−1.21242	−	0.699990i	−0.963285	+	0.268480i	$0.913479\pi$
$30$	−2.06707	−	2.67441i	−0.377394	−	0.488278i
$31$	−7.81064			−1.40283			−0.701416	−	0.712752i	$-0.747449\pi$
$31$	−7.81064			−1.40283			−0.701416	+	0.712752i	$0.747449\pi$
$32$	5.64531	−	0.361149i	0.997960	−	0.0638427i
$33$	6.75765	−	6.29470i	1.17636	−	1.09577i
$34$	1.34515	−	0.619615i	0.230692	−	0.106263i
$35$	0.954649	−	3.52393i	0.161365	−	0.595653i
$36$	4.27226	+	4.21281i	0.712043	+	0.702135i
$37$	−7.57686	+	4.37450i	−1.24563	+	0.719164i	−0.970234	−	0.242168i	$-0.922142\pi$
$37$	−7.57686	+	4.37450i	−1.24563	+	0.719164i	−0.275394	+	0.961332i	$0.588808\pi$
$38$	−7.52331	−	0.693668i	−1.22044	−	0.112528i
$39$	−3.95802	+	3.68687i	−0.633791	+	0.590371i
$40$	−2.79830	+	2.72088i	−0.442451	+	0.430208i
$41$	−1.93547	−	3.35232i	−0.302269	−	0.523545i	0.674381	−	0.738384i	$-0.264411\pi$
$41$	−1.93547	−	3.35232i	−0.302269	−	0.523545i	−0.976650	+	0.214839i	$0.931077\pi$
$42$	−0.841101	+	6.42593i	−0.129785	+	0.991542i
$43$	−6.44514	−	3.72111i	−0.982875	−	0.567463i	−0.0797382	−	0.996816i	$-0.525408\pi$
$43$	−6.44514	−	3.72111i	−0.982875	−	0.567463i	−0.903137	+	0.429353i	$0.858742\pi$
$44$	−8.10456	−	6.93072i	−1.22181	−	1.04485i
$45$	−4.12939	−	0.293299i	−0.615573	−	0.0437224i
$46$	−1.68997	+	0.778446i	−0.249173	+	0.114776i
$47$	2.99635			0.437063			0.218531	−	0.975830i	$-0.429873\pi$
$47$	2.99635			0.437063			0.218531	+	0.975830i	$0.429873\pi$
$48$	4.27524	−	5.45182i	0.617078	−	0.786902i
$49$	−6.08137	+	3.46654i	−0.868767	+	0.495220i
$50$	−0.401968	+	4.35962i	−0.0568468	+	0.616543i
$51$	0.531267	−	1.73430i	0.0743923	−	0.242851i
$52$	4.74692	+	4.05939i	0.658279	+	0.562936i
$53$	3.05041	+	1.76115i	0.419006	+	0.241913i	0.694652	−	0.719346i	$-0.255558\pi$
$53$	3.05041	+	1.76115i	0.419006	+	0.241913i	−0.275646	+	0.961259i	$0.588892\pi$
$54$	7.33366	−	0.466275i	0.997985	−	0.0634520i
$55$	7.35772			0.992115
$56$	7.48226	+	0.125589i	0.999859	+	0.0167826i
$57$	−6.77083	+	6.30697i	−0.896818	+	0.835379i
$58$	4.46069	+	9.68395i	0.585717	+	1.27156i
$59$		−	5.64936i		−	0.735484i	−0.929928	−	0.367742i	$-0.880131\pi$
$59$		−	5.64936i		−	0.735484i	0.929928	−	0.367742i	$-0.119869\pi$
$60$	0.202908	+	4.77591i	0.0261953	+	0.616568i
$61$		−	7.47032i		−	0.956476i	−0.878230	−	0.478238i	$-0.841276\pi$
$61$		−	7.47032i		−	0.956476i	0.878230	−	0.478238i	$-0.158724\pi$
$62$	9.01856	+	6.37792i	1.14536	+	0.809996i
$63$	5.18420	+	6.01033i	0.653148	+	0.757230i
$64$	−6.81327	−	4.19278i	−0.851658	−	0.524098i
$65$	−4.30949			−0.534526
$66$	−12.9428	+	1.75010i	−1.59315	+	0.215422i
$67$			2.47483i			0.302349i	0.988507	+	0.151174i	$0.0483055\pi$
$67$			2.47483i			0.302349i	−0.988507	+	0.151174i	$0.951695\pi$
$68$	−2.05914	−	0.382972i	−0.249707	−	0.0464421i
$69$	−0.667452	+	2.17887i	−0.0803518	+	0.262305i
$70$	−3.97982	+	3.28937i	−0.475679	+	0.393155i
$71$	−5.37533			−0.637934			−0.318967	−	0.947766i	$-0.603336\pi$
$71$	−5.37533			−0.637934			−0.318967	+	0.947766i	$0.603336\pi$
$72$	−1.49292	−	8.35291i	−0.175942	−	0.984400i
$73$	5.31294	−	9.20228i	0.621832	−	1.07705i	−0.367312	−	0.930098i	$-0.619722\pi$
$73$	5.31294	−	9.20228i	0.621832	−	1.07705i	0.989144	−	0.146947i	$-0.0469448\pi$
$74$	12.3207	+	1.13600i	1.43225	+	0.132057i
$75$	3.65477	+	3.92357i	0.422017	+	0.453055i
$76$	8.12036	+	6.94423i	0.931470	+	0.796558i
$77$	−9.94765	−	10.0026i	−1.13364	−	1.13990i
$78$	7.58071	−	1.02505i	0.858346	−	0.116064i
$79$	−12.7046			−1.42938			−0.714691	−	0.699440i	$-0.753433\pi$
$79$	−12.7046			−1.42938			−0.714691	+	0.699440i	$0.753433\pi$
$80$	5.45284	−	0.856654i	0.609646	−	0.0957768i
$81$	5.55647	−	7.07995i	0.617386	−	0.786661i
$82$	−0.502614	+	5.45120i	−0.0555045	+	0.601984i
$83$	7.37390	+	4.25733i	0.809391	+	0.467302i	0.846744	−	0.532000i	$-0.178559\pi$
$83$	7.37390	+	4.25733i	0.809391	+	0.467302i	−0.0373533	+	0.999302i	$0.511893\pi$
$84$	6.21838	−	6.73288i	0.678481	−	0.734618i
$85$	1.25149	−	0.722549i	0.135743	−	0.0783715i
$86$	4.40335	+	9.55947i	0.474826	+	1.03082i
$87$	12.4855	+	3.82467i	1.33858	+	0.410047i
$88$	3.69853	+	14.6205i	0.394265	+	1.55855i
$89$	−4.71725	−	8.17052i	−0.500028	−	0.866074i	−1.00000		3.21396e-5i	$-0.999990\pi$
$89$	−4.71725	−	8.17052i	−0.500028	−	0.866074i	0.499972	−	0.866041i	$-0.333344\pi$
$90$	4.52850	+	3.71058i	0.477346	+	0.391130i
$91$	5.82643	+	5.85862i	0.610776	+	0.614151i
$92$	2.58698	+	0.481142i	0.269711	+	0.0501625i
$93$	13.1834	−	3.03602i	1.36705	−	0.314820i
$94$	−3.45974	−	2.44672i	−0.356845	−	0.252360i
$95$	−7.37207			−0.756358
$96$	−9.38819	+	2.80392i	−0.958178	+	0.286174i
$97$	6.76934	−	11.7248i	0.687322	−	1.19048i	−0.285379	−	0.958415i	$-0.592119\pi$
$97$	6.76934	−	11.7248i	0.687322	−	1.19048i	0.972701	−	0.232062i	$-0.0745473\pi$
$98$	9.85252	+	0.963208i	0.995255	+	0.0972987i
$99$	−8.95928	+	13.2514i	−0.900442	+	1.33181i
$100$	4.02406	−	4.70560i	0.402406	−	0.470560i
$101$	−8.38881	+	4.84328i	−0.834718	+	0.481925i	−0.855465	−	0.517860i	$-0.826729\pi$
$101$	−8.38881	+	4.84328i	−0.834718	+	0.481925i	0.0207473	+	0.999785i	$0.493395\pi$
$102$	−2.02960	+	1.56870i	−0.200961	+	0.155324i
$103$	−6.46127	+	11.1913i	−0.636648	+	1.10271i	0.349515	+	0.936931i	$0.386346\pi$
$103$	−6.46127	+	11.1913i	−0.636648	+	1.10271i	−0.986163	+	0.165776i	$0.946987\pi$
$104$	−2.16626	−	8.56335i	−0.212420	−	0.839706i
$105$	−0.241563	+	6.31902i	−0.0235741	+	0.616673i
$106$	−2.08405	−	4.52438i	−0.202421	−	0.439447i
$107$	7.81342	−	4.51108i	0.755352	−	0.436103i	−0.0722723	−	0.997385i	$-0.523025\pi$
$107$	7.81342	−	4.51108i	0.755352	−	0.436103i	0.827625	+	0.561282i	$0.189692\pi$
$108$	−8.84856	−	5.45005i	−0.851453	−	0.524431i
$109$	5.81526	+	3.35744i	0.557001	+	0.321584i	0.751941	−	0.659231i	$-0.229118\pi$
$109$	5.81526	+	3.35744i	0.557001	+	0.321584i	−0.194940	+	0.980815i	$0.562451\pi$
$110$	−8.49560	−	6.00808i	−0.810023	−	0.572848i
$111$	11.0884	−	10.3287i	1.05246	−	0.980361i
$112$	−8.53684	−	6.25478i	−0.806656	−	0.591022i
$113$	−1.99418	−	3.45401i	−0.187596	−	0.324926i	0.756852	−	0.653586i	$-0.226736\pi$
$113$	−1.99418	−	3.45401i	−0.187596	−	0.324926i	−0.944448	+	0.328660i	$0.893403\pi$
$114$	12.9680	−	1.75351i	1.21457	−	0.164231i
$115$	−1.57230	+	0.907767i	−0.146618	+	0.0846497i
$116$	2.75706	−	14.8240i	0.255987	−	1.37638i
$117$	5.24754	−	7.76145i	0.485135	−	0.717546i
$118$	−4.61308	+	6.52303i	−0.424669	+	0.600494i
$119$	−2.67430	−	0.724481i	−0.245153	−	0.0664130i
$120$	3.66557	−	5.68020i	0.334619	−	0.518529i
$121$	8.71485	−	15.0946i	0.792259	−	1.37223i
$122$	−6.10002	+	8.62560i	−0.552270	+	0.780926i
$123$	4.56987	+	4.90597i	0.412052	+	0.442357i
$124$	−5.20528	−	14.7285i	−0.467448	−	1.32266i
$125$			11.1716i			0.999221i
$126$	−1.07811	−	11.1731i	−0.0960452	−	0.995377i
$127$	−2.51936			−0.223557			−0.111778	−	0.993733i	$-0.535655\pi$
$127$	−2.51936			−0.223557			−0.111778	+	0.993733i	$0.535655\pi$
$128$	4.44325	+	10.4047i	0.392731	+	0.919653i
$129$	12.3250	+	3.77550i	1.08515	+	0.332415i
$130$	4.97595	+	3.51899i	0.436420	+	0.308636i
$131$	7.99597	+	4.61648i	0.698611	+	0.403343i	0.806830	−	0.590784i	$-0.201181\pi$
$131$	7.99597	+	4.61648i	0.698611	+	0.403343i	−0.108219	+	0.994127i	$0.534515\pi$
$132$	16.3734	+	8.54790i	1.42513	+	0.743999i
$133$	9.96704	+	10.0221i	0.864252	+	0.869028i
$134$	2.02087	−	2.85756i	0.174576	−	0.246856i
$135$	7.08388	−	1.11005i	0.609684	−	0.0955382i
$136$	2.06486	+	2.12363i	0.177061	+	0.182099i
$137$	8.13009	+	14.0817i	0.694600	+	1.20308i	0.970315	+	0.241843i	$0.0777520\pi$
$137$	8.13009	+	14.0817i	0.694600	+	1.20308i	−0.275715	+	0.961239i	$0.588915\pi$
$138$	2.54987	−	1.97081i	0.217059	−	0.167767i
$139$	16.5829	−	9.57413i	1.40654	−	0.812067i	0.411489	−	0.911415i	$-0.365009\pi$
$139$	16.5829	−	9.57413i	1.40654	−	0.812067i	0.995053	+	0.0993479i	$0.0316757\pi$
$140$	7.28129	−	0.548289i	0.615382	−	0.0463388i
$141$	−5.05746	+	1.16469i	−0.425915	+	0.0980846i
$142$	6.20662	+	4.38932i	0.520848	+	0.368344i
$143$	−8.32577	+	14.4207i	−0.696236	+	1.20592i
$144$	−5.09692	+	10.8638i	−0.424743	+	0.905314i
$145$	5.20173	+	9.00966i	0.431980	+	0.748212i
$146$	−13.6489	+	6.28704i	−1.12959	+	0.520319i
$147$	8.91712	−	8.21492i	0.735472	−	0.677555i
$148$	−13.2985	−	11.3724i	−1.09313	−	0.934803i
$149$	−7.17538	−	4.14271i	−0.587830	−	0.339384i	0.176409	−	0.984317i	$-0.443552\pi$
$149$	−7.17538	−	4.14271i	−0.587830	−	0.339384i	−0.764239	+	0.644933i	$0.776885\pi$
$150$	−1.01613	−	7.51472i	−0.0829663	−	0.613574i
$151$	−8.62694	−	14.9423i	−0.702051	−	1.21599i	−0.967745	−	0.251930i	$-0.918935\pi$
$151$	−8.62694	−	14.9423i	−0.702051	−	1.21599i	0.265695	−	0.964057i	$-0.414399\pi$
$152$	−3.70574	−	14.6490i	−0.300575	−	1.18819i
$153$	−0.222584	+	3.13378i	−0.0179948	+	0.253351i
$154$	3.31824	+	19.6724i	0.267392	+	1.58525i
$155$	9.33415	+	5.38907i	0.749737	+	0.432861i
$156$	−9.59008	−	5.00659i	−0.767821	−	0.400848i
$157$		−	4.21641i		−	0.336506i	−0.985744	−	0.168253i	$-0.946187\pi$
$157$		−	4.21641i		−	0.336506i	0.985744	−	0.168253i	$-0.0538125\pi$
$158$	14.6694	+	10.3742i	1.16704	+	0.825326i
$159$	−5.83327	−	1.78690i	−0.462608	−	0.141710i
$160$	−6.99564	−	3.46348i	−0.553054	−	0.273812i
$161$	3.35983	+	0.910193i	0.264792	+	0.0717333i
$162$	−12.1970	+	3.63763i	−0.958290	+	0.285799i
$163$	−8.16261	+	4.71269i	−0.639345	+	0.369126i	−0.784362	−	0.620303i	$-0.787010\pi$
$163$	−8.16261	+	4.71269i	−0.639345	+	0.369126i	0.145017	+	0.989429i	$0.453676\pi$
$164$	5.03162	−	5.88381i	0.392903	−	0.459448i
$165$	−12.4189	+	2.85997i	−0.966809	+	0.222648i
$166$	−5.03789	−	10.9370i	−0.391016	−	0.848877i
$167$	−7.00015	−	12.1246i	−0.541688	−	0.938230i	−0.998807	−	0.0488252i	$-0.984452\pi$
$167$	−7.00015	−	12.1246i	−0.541688	−	0.938230i	0.457120	−	0.889405i	$-0.348881\pi$
$168$	−12.6779	+	2.69640i	−0.978122	+	0.208031i
$169$	−1.62352	+	2.81201i	−0.124886	+	0.216309i
$170$	−2.03505	−	0.187636i	−0.156081	−	0.0143911i
$171$	8.97675	−	13.2772i	0.686469	−	1.01533i
$172$	2.72162	−	14.6335i	0.207522	−	1.11579i
$173$			14.9415i			1.13598i	0.823036	+	0.567989i	$0.192278\pi$
$173$			14.9415i			1.13598i	−0.823036	+	0.567989i	$0.807722\pi$
$174$	−11.2932	−	14.6114i	−0.856139	−	1.10769i
$175$	5.80763	−	5.77572i	0.439016	−	0.436603i
$176$	7.66810	−	19.9016i	0.578005	−	1.50014i
$177$	2.19592	+	9.53539i	0.165055	+	0.716724i
$178$	−1.22501	+	13.2861i	−0.0918182	+	0.995832i
$179$	−2.99780	−	1.73078i	−0.224066	−	0.129365i	0.383765	−	0.923431i	$-0.374627\pi$
$179$	−2.99780	−	1.73078i	−0.224066	−	0.129365i	−0.607832	+	0.794066i	$0.707960\pi$
$180$	−2.19889	−	7.98225i	−0.163896	−	0.594962i
$181$			12.1889i			0.905990i	0.891513	+	0.452995i	$0.149645\pi$
$181$			12.1889i			0.905990i	−0.891513	+	0.452995i	$0.850355\pi$
$182$	−1.94353	−	11.5223i	−0.144064	−	0.854092i
$183$	2.90373	+	12.6089i	0.214650	+	0.932079i
$184$	−2.59417	−	2.66799i	−0.191245	−	0.196687i
$185$	12.0730			0.887626
$186$	−17.7013	−	7.25957i	−1.29792	−	0.532297i
$187$		−	5.58376i		−	0.408325i
$188$	1.99687	+	5.65022i	0.145637	+	0.412085i
$189$	−11.0865	−	8.12954i	−0.806424	−	0.591337i
$190$	8.51216	+	6.01979i	0.617537	+	0.436722i
$191$	−13.7367			−0.993954			−0.496977	−	0.867764i	$-0.665557\pi$
$191$	−13.7367			−0.993954			−0.496977	+	0.867764i	$0.665557\pi$
$192$	13.1297	+	4.42854i	0.947552	+	0.319602i
$193$	−14.6710			−1.05605			−0.528023	−	0.849230i	$-0.677066\pi$
$193$	−14.6710			−1.05605			−0.528023	+	0.849230i	$0.677066\pi$
$194$	−17.3903	+	8.01046i	−1.24855	+	0.575118i
$195$	7.27386	−	1.67511i	0.520892	−	0.119957i
$196$	−10.5897	−	9.15742i	−0.756407	−	0.654102i
$197$		−	3.61474i		−	0.257540i	−0.991675	−	0.128770i	$-0.958897\pi$
$197$		−	3.61474i		−	0.257540i	0.991675	−	0.128770i	$-0.0411028\pi$
$198$	21.1655	−	7.98483i	1.50416	−	0.567457i
$199$	−6.99636	+	12.1181i	−0.495959	+	0.859026i	−0.999989	−	0.00465969i	$-0.998517\pi$
$199$	−6.99636	+	12.1181i	−0.495959	+	0.859026i	0.504030	+	0.863686i	$0.331850\pi$
$200$	−8.48882	+	2.14741i	−0.600250	+	0.151845i
$201$	−0.961973	−	4.17719i	−0.0678523	−	0.294637i
$202$	13.6410	+	1.25774i	0.959778	+	0.0884940i
$203$	5.21563	−	19.2527i	0.366066	−	1.35127i
$204$	3.62443	−	0.153987i	0.253761	−	0.0107812i
$205$			5.34162i			0.373075i
$206$	16.5989	−	7.64592i	1.15650	−	0.532716i
$207$	0.279641	−	3.93709i	0.0194364	−	0.273647i
$208$	−4.49128	+	11.6566i	−0.311414	+	0.808238i
$209$	−14.2426	+	24.6689i	−0.985179	+	1.70638i
$210$	5.43883	−	7.09901i	0.375315	−	0.489878i
$211$	−23.0290	+	13.2958i	−1.58538	+	0.915320i	−0.591326	+	0.806433i	$0.701395\pi$
$211$	−23.0290	+	13.2958i	−1.58538	+	0.915320i	−0.994054	+	0.108887i	$0.965271\pi$
$212$	−1.28811	+	6.92585i	−0.0884679	+	0.475670i
$213$	9.07286	−	2.08940i	0.621662	−	0.143164i
$214$	−12.7054	−	1.17147i	−0.868522	−	0.0800799i
$215$	5.13487	+	8.89385i	0.350195	+	0.606556i
$216$	5.76666	+	13.5183i	0.392371	+	0.919807i
$217$	−5.29348	−	19.9755i	−0.359345	−	1.35603i
$218$	−3.97301	−	8.62522i	−0.269086	−	0.584174i
$219$	−5.39061	+	17.5974i	−0.364263	+	1.18912i
$220$	4.90344	+	13.8745i	0.330590	+	0.935416i
$221$			3.27046i			0.219995i
$222$	−21.2373	+	2.87167i	−1.42536	+	0.192734i
$223$	−1.41185	+	2.44540i	−0.0945446	+	0.163756i	−0.909418	−	0.415882i	$-0.863473\pi$
$223$	−1.41185	+	2.44540i	−0.0945446	+	0.163756i	0.814874	+	0.579638i	$0.196806\pi$
$224$	4.74961	+	14.1930i	0.317347	+	0.948310i
$225$	−7.69389	−	5.20186i	−0.512926	−	0.346791i
$226$	−0.517861	+	5.61656i	−0.0344476	+	0.373608i
$227$	−9.59509	+	5.53973i	−0.636848	+	0.367685i	−0.783399	−	0.621519i	$-0.786516\pi$
$227$	−9.59509	+	5.53973i	−0.636848	+	0.367685i	0.146551	+	0.989203i	$0.453183\pi$
$228$	−16.4054	−	8.56457i	−1.08647	−	0.567202i
$229$	17.8674	+	10.3157i	1.18071	+	0.681684i	0.956179	−	0.292783i	$-0.0945813\pi$
$229$	17.8674	+	10.3157i	1.18071	+	0.681684i	0.224532	+	0.974467i	$0.427915\pi$
$230$	2.55671	+	0.235735i	0.168584	+	0.0155439i
$231$	20.6784	+	13.0164i	1.36054	+	0.856419i
$232$	−15.2883	+	14.8652i	−1.00372	+	0.975951i
$233$	12.6977	+	21.9931i	0.831856	+	1.44082i	0.896565	+	0.442912i	$0.146055\pi$
$233$	12.6977	+	21.9931i	0.831856	+	1.44082i	−0.0647091	+	0.997904i	$0.520612\pi$
$234$	−12.3968	+	4.67679i	−0.810405	+	0.305731i
$235$	−3.58081	−	2.06738i	−0.233586	−	0.134861i
$236$	10.6530	−	3.76493i	0.693451	−	0.245076i
$237$	21.4438	−	4.93832i	1.39292	−	0.320779i
$238$	2.49630	+	3.02027i	0.161811	+	0.195775i
$239$	−1.51747	−	2.62834i	−0.0981572	−	0.170013i	0.812765	−	0.582592i	$-0.197961\pi$
$239$	−1.51747	−	2.62834i	−0.0981572	−	0.170013i	−0.910922	+	0.412579i	$0.864628\pi$
$240$	−8.87071	+	3.56546i	−0.572602	+	0.230149i
$241$	−2.44398	−	4.23310i	−0.157431	−	0.272678i	0.776511	−	0.630104i	$-0.216988\pi$
$241$	−2.44398	−	4.23310i	−0.157431	−	0.272678i	−0.933941	+	0.357426i	$0.883654\pi$
$242$	−22.3883	+	10.3127i	−1.43918	+	0.662924i
$243$	−6.62662	+	14.1099i	−0.425098	+	0.905147i
$244$	14.0868	−	4.97848i	0.901814	−	0.318714i
$245$	9.65937	+	0.0532269i	0.617114	+	0.00340054i
$246$	−1.27055	−	9.39629i	−0.0810072	−	0.599086i
$247$	8.34201	−	14.4488i	0.530789	−	0.919354i
$248$	−6.01656	+	21.2568i	−0.382052	+	1.34981i
$249$	−14.1010	−	4.31956i	−0.893617	−	0.273741i
$250$	9.12239	−	12.8993i	0.576951	−	0.815825i
$251$		−	10.9709i		−	0.692476i	−0.938147	−	0.346238i	$-0.887459\pi$
$251$		−	10.9709i		−	0.692476i	0.938147	−	0.346238i	$-0.112541\pi$
$252$	−7.87874	+	13.7813i	−0.496314	+	0.868143i
$253$			7.01509i			0.441035i
$254$	2.90898	+	2.05723i	0.182525	+	0.129082i
$255$	−1.83150	+	1.70603i	−0.114693	+	0.106836i
$256$	3.36573	−	15.6420i	0.210358	−	0.977624i
$257$	−14.8617	+	25.7412i	−0.927047	+	1.60569i	−0.138811	+	0.990319i	$0.544328\pi$
$257$	−14.8617	+	25.7412i	−0.927047	+	1.60569i	−0.788236	+	0.615373i	$0.789005\pi$
$258$	−11.1481	−	14.4236i	−0.694049	−	0.897972i
$259$	−16.3227	−	16.4129i	−1.01425	−	1.01985i
$260$	−2.87199	−	8.12640i	−0.178113	−	0.503978i
$261$	−22.5605	−	1.60241i	−1.39646	−	0.0991868i
$262$	−5.46289	−	11.8597i	−0.337498	−	0.732693i
$263$	8.48276	+	14.6926i	0.523069	+	0.905983i	0.999640	+	0.0268463i	$0.00854648\pi$
$263$	8.48276	+	14.6926i	0.523069	+	0.905983i	−0.476570	+	0.879136i	$0.658120\pi$
$264$	−11.9257	−	23.2399i	−0.733974	−	1.43031i
$265$	−2.43027	−	4.20935i	−0.149290	−	0.258579i
$266$	−3.32471	−	19.7108i	−0.203851	−	1.20855i
$267$	11.1380	+	11.9572i	0.681636	+	0.731768i
$268$	−4.66679	+	1.64931i	−0.285069	+	0.100748i
$269$	−10.8292	−	6.25227i	−0.660271	−	0.381207i	0.132110	−	0.991235i	$-0.457825\pi$
$269$	−10.8292	−	6.25227i	−0.660271	−	0.381207i	−0.792380	+	0.610028i	$0.791158\pi$
$270$	−9.08584	−	4.50275i	−0.552947	−	0.274029i
$271$	2.27638	+	3.94281i	0.138280	+	0.239508i	0.926846	−	0.375442i	$-0.122509\pi$
$271$	2.27638	+	3.94281i	0.138280	+	0.239508i	−0.788565	+	0.614951i	$0.789176\pi$
$272$	−0.650113	−	4.13815i	−0.0394189	−	0.250912i
$273$	−12.1115	−	7.62386i	−0.733023	−	0.461417i
$274$	2.11127	−	22.8982i	0.127547	−	1.38333i
$275$	14.2951	+	8.25330i	0.862030	+	0.497693i
$276$	−4.55351	+	0.193459i	−0.274089	+	0.0116449i
$277$	11.8967	−	6.86857i	0.714804	−	0.412692i	−0.0980335	−	0.995183i	$-0.531255\pi$
$277$	11.8967	−	6.86857i	0.714804	−	0.412692i	0.812837	+	0.582491i	$0.197922\pi$
$278$	−26.9653	−	2.48627i	−1.61727	−	0.149117i
$279$	−21.0717	+	10.2488i	−1.26153	+	0.613580i
$280$	−8.85506	−	5.31259i	−0.529191	−	0.317488i
$281$	15.1349	−	26.2144i	0.902870	−	1.56382i	0.0791194	−	0.996865i	$-0.474789\pi$
$281$	15.1349	−	26.2144i	0.902870	−	1.56382i	0.823751	−	0.566952i	$-0.191878\pi$
$282$	6.79064	+	2.78495i	0.404377	+	0.165841i
$283$		−	21.4414i		−	1.27456i	−0.770632	−	0.637280i	$-0.780059\pi$
$283$		−	21.4414i		−	1.27456i	0.770632	−	0.637280i	$-0.219941\pi$
$284$	−3.58230	−	10.1363i	−0.212571	−	0.601476i
$285$	12.4431	−	2.86554i	0.737066	−	0.169740i
$286$	21.3888	−	9.85226i	1.26475	−	0.582577i
$287$	7.26177	−	7.22187i	0.428649	−	0.426293i
$288$	14.7562	−	8.38187i	0.869515	−	0.493906i
$289$	7.95166	+	13.7727i	0.467745	+	0.810158i
$290$	1.35082	−	14.6506i	0.0793228	−	0.860311i
$291$	−6.86830	+	22.4213i	−0.402627	+	1.31436i
$292$	20.8935	+	3.88589i	1.22270	+	0.227405i
$293$	−18.0679	+	10.4315i	−1.05554	+	0.609416i	−0.924195	−	0.381921i	$-0.875263\pi$
$293$	−18.0679	+	10.4315i	−1.05554	+	0.609416i	−0.131345	+	0.991337i	$0.541929\pi$
$294$	−17.0042	+	2.20393i	−0.991705	+	0.128536i
$295$	−3.89786	+	6.75129i	−0.226942	+	0.393075i
$296$	6.06878	+	23.9902i	0.352741	+	1.39440i
$297$	9.97128	−	25.8491i	0.578592	−	1.49992i
$298$	4.90225	+	10.6426i	0.283980	+	0.616507i
$299$		−	4.10881i		−	0.237618i
$300$	−4.96301	+	9.50661i	−0.286539	+	0.548864i
$301$	5.14859	−	19.0052i	0.296760	−	1.09544i
$302$	−2.24030	+	24.2976i	−0.128915	+	1.39817i
$303$	12.2766	−	11.4356i	0.705275	−	0.656958i
$304$	−7.68306	+	19.9404i	−0.440653	+	1.14366i
$305$	−5.15426	+	8.92744i	−0.295132	+	0.511184i
$306$	2.81595	−	3.43667i	0.160977	−	0.196461i
$307$		−	17.8323i		−	1.01774i	−0.860843	−	0.508871i	$-0.830063\pi$
$307$		−	17.8323i		−	1.01774i	0.860843	−	0.508871i	$-0.169937\pi$
$308$	12.2325	−	25.4244i	0.697010	−	1.44869i
$309$	6.55573	−	21.4009i	0.372942	−	1.21746i
$310$	−6.37713	−	13.8445i	−0.362197	−	0.786312i
$311$	−1.33483			−0.0756914			−0.0378457	−	0.999284i	$-0.512050\pi$
$311$	−1.33483			−0.0756914			−0.0378457	+	0.999284i	$0.512050\pi$
$312$	6.98497	+	13.6118i	0.395446	+	0.770617i
$313$	5.96629			0.337235			0.168617	−	0.985682i	$-0.446070\pi$
$313$	5.96629			0.337235			0.168617	+	0.985682i	$0.446070\pi$
$314$	−3.44298	+	4.86847i	−0.194299	+	0.274744i
$315$	−2.04849	−	10.7596i	−0.115420	−	0.606234i
$316$	−8.46680	−	23.9571i	−0.476295	−	1.34769i
$317$			1.83415i			0.103016i	0.998673	+	0.0515079i	$0.0164027\pi$
$317$			1.83415i			0.103016i	−0.998673	+	0.0515079i	$0.983597\pi$
$318$	5.27626	+	6.82650i	0.295878	+	0.382811i
$319$	40.1982			2.25067
$320$	5.24935	+	9.71152i	0.293448	+	0.542891i
$321$	−11.4346	+	10.6512i	−0.638216	+	0.594494i
$322$	−3.13620	−	3.79448i	−0.174773	−	0.211458i
$323$			5.59464i			0.311294i
$324$	17.0537	+	5.75952i	0.947427	+	0.319973i
$325$	−8.37280	−	4.83404i	−0.464439	−	0.268144i
$326$	13.2732	+	1.22382i	0.735134	+	0.0677812i
$327$	−11.1205	−	3.40652i	−0.614962	−	0.188381i
$328$	−10.6143	+	2.68509i	−0.586076	+	0.148259i
$329$	2.03071	+	7.66310i	0.111957	+	0.422480i
$330$	16.6748	+	6.83860i	0.917919	+	0.376453i
$331$		−	9.17623i		−	0.504371i	−0.967679	−	0.252186i	$-0.918851\pi$
$331$		−	9.17623i		−	0.504371i	0.967679	−	0.252186i	$-0.0811494\pi$
$332$	−3.11382	+	16.7422i	−0.170893	+	0.918848i
$333$	−14.7010	+	21.7437i	−0.805608	+	1.19155i
$334$	−1.81784	+	19.7158i	−0.0994680	+	1.07880i
$335$	1.70755	−	2.95756i	0.0932932	−	0.161589i
$336$	16.8403	+	7.23898i	0.918716	+	0.394919i
$337$	−0.855170	−	1.48120i	−0.0465841	−	0.0806860i	0.841793	−	0.539800i	$-0.181500\pi$
$337$	−0.855170	−	1.48120i	−0.0465841	−	0.0806860i	−0.888377	+	0.459114i	$0.848167\pi$
$338$	4.17079	−	1.92118i	0.226861	−	0.104498i
$339$	4.70850	+	5.05479i	0.255730	+	0.274539i
$340$	2.19655	+	1.87841i	0.119125	+	0.101871i
$341$	36.0665	−	20.8230i	1.95311	−	1.12763i
$342$	−21.2067	+	8.00039i	−1.14673	+	0.432612i
$343$	−12.9871	−	13.2036i	−0.701238	−	0.712927i
$344$	−15.0918	+	14.6742i	−0.813693	+	0.791178i
$345$	2.30099	−	2.14335i	0.123881	−	0.115394i
$346$	12.2007	−	17.2522i	0.655914	−	0.927482i
$347$		−	9.81096i		−	0.526680i	−0.964703	−	0.263340i	$-0.915176\pi$
$347$		−	9.81096i		−	0.526680i	0.964703	−	0.263340i	$-0.0848241\pi$
$348$	1.10857	+	26.0927i	0.0594256	+	1.39872i
$349$	4.38532	+	2.53187i	0.234741	+	0.135528i	0.612757	−	0.790271i	$-0.290060\pi$
$349$	4.38532	+	2.53187i	0.234741	+	0.135528i	−0.378016	+	0.925799i	$0.623394\pi$
$350$	−11.4220	+	1.92661i	−0.610534	+	0.102982i
$351$	−5.84027	+	15.1401i	−0.311731	+	0.808117i
$352$	−25.1050	+	16.7179i	−1.33810	+	0.891068i
$353$	−6.56123	−	11.3644i	−0.349219	−	0.604865i	0.636892	−	0.770953i	$-0.280220\pi$
$353$	−6.56123	−	11.3644i	−0.349219	−	0.604865i	−0.986111	+	0.166088i	$0.946886\pi$
$354$	5.25077	−	12.8032i	0.279075	−	0.680480i
$355$	6.42381	+	3.70879i	0.340941	+	0.196842i
$356$	12.2634	−	14.3404i	0.649960	−	0.760042i
$357$	4.79549	+	0.183321i	0.253804	+	0.00970239i
$358$	2.04811	+	4.44636i	0.108246	+	0.234997i
$359$	−10.3301	−	17.8922i	−0.545199	−	0.944313i	−0.998594	−	0.0530032i	$-0.983121\pi$
$359$	−10.3301	−	17.8922i	−0.545199	−	0.944313i	0.453395	−	0.891310i	$-0.350213\pi$
$360$	−3.97910	+	11.0123i	−0.209717	+	0.580397i
$361$	4.77034	−	8.26247i	0.251070	−	0.434867i
$362$	9.95302	−	14.0739i	0.523119	−	0.739706i
$363$	−8.84225	+	28.8652i	−0.464098	+	1.51503i
$364$	−7.16468	+	14.8913i	−0.375531	+	0.780516i
$365$	−12.6985	+	7.33148i	−0.664670	+	0.383747i
$366$	6.94326	−	16.9300i	0.362930	−	0.884946i
$367$	−1.53214	−	2.65375i	−0.0799771	−	0.138524i	0.823263	−	0.567661i	$-0.192151\pi$
$367$	−1.53214	−	2.65375i	−0.0799771	−	0.138524i	−0.903240	+	0.429136i	$0.858818\pi$
$368$	0.816762	+	5.19892i	0.0425766	+	0.271012i
$369$	−9.62032	−	6.50433i	−0.500814	−	0.338602i
$370$	−13.9401	−	9.85844i	−0.724712	−	0.512516i
$371$	−2.43677	+	8.99493i	−0.126511	+	0.466994i
$372$	14.5109	+	22.8366i	0.752353	+	1.18402i
$373$	11.2531	+	6.49700i	0.582665	+	0.336402i	0.762192	−	0.647351i	$-0.224123\pi$
$373$	11.2531	+	6.49700i	0.582665	+	0.336402i	−0.179527	+	0.983753i	$0.557457\pi$
$374$	−4.55952	+	6.44729i	−0.235767	+	0.333381i
$375$	−4.34244	−	18.8563i	−0.224243	−	0.973734i
$376$	2.30810	−	8.15461i	0.119031	−	0.420542i
$377$	−23.5445			−1.21260
$378$	6.16271	+	18.4397i	0.316976	+	0.948434i
$379$			12.2034i			0.626846i	0.949614	+	0.313423i	$0.101476\pi$
$379$			12.2034i			0.626846i	−0.949614	+	0.313423i	$0.898524\pi$
$380$	−4.91300	−	13.9015i	−0.252032	−	0.713132i
$381$	4.25235	−	0.979281i	0.217855	−	0.0501701i
$382$	15.8611	+	11.2170i	0.811525	+	0.573910i
$383$	11.4810	−	19.8856i	0.586651	−	1.01611i	−0.408017	−	0.912974i	$-0.633780\pi$
$383$	11.4810	−	19.8856i	0.586651	−	1.01611i	0.994667	−	0.103134i	$-0.0328871\pi$
$384$	−11.5440	−	15.8347i	−0.589100	−	0.808060i
$385$	4.98653	+	18.8172i	0.254137	+	0.959013i
$386$	16.9399	+	11.9799i	0.862220	+	0.609761i
$387$	−22.2705	−	1.58181i	−1.13207	−	0.0804081i
$388$	26.6209	+	4.95111i	1.35147	+	0.251354i
$389$	9.16118	−	5.28921i	0.464490	−	0.268173i	−0.249440	−	0.968390i	$-0.580247\pi$
$389$	9.16118	−	5.28921i	0.464490	−	0.268173i	0.713930	+	0.700217i	$0.246913\pi$
$390$	−9.76661	−	4.00544i	−0.494551	−	0.202823i
$391$	0.688902	+	1.19321i	0.0348393	+	0.0603434i
$392$	4.74974	+	19.2208i	0.239898	+	0.970798i
$393$	−15.2906	−	4.68396i	−0.771309	−	0.236275i
$394$	−2.95168	+	4.17376i	−0.148703	+	0.210271i
$395$	15.1827	+	8.76576i	0.763926	+	0.441053i
$396$	−30.9589	−	8.06336i	−1.55574	−	0.405199i
$397$	−8.37857	+	4.83737i	−0.420508	+	0.242780i	−0.695295	−	0.718725i	$-0.744726\pi$
$397$	−8.37857	+	4.83737i	−0.420508	+	0.242780i	0.274787	+	0.961505i	$0.411393\pi$
$398$	17.9736	−	8.27911i	0.900934	−	0.414995i
$399$	−20.7187	−	13.0418i	−1.03723	−	0.652908i
$400$	11.5551	+	4.45219i	0.577756	+	0.222609i
$401$	−8.76798	+	15.1866i	−0.437852	+	0.758382i	−0.997524	−	0.0703327i	$-0.977594\pi$
$401$	−8.76798	+	15.1866i	−0.437852	+	0.758382i	0.559672	+	0.828714i	$0.310927\pi$
$402$	−2.30022	+	5.60871i	−0.114725	+	0.279737i
$403$	−21.1245	+	12.1962i	−1.05228	+	0.607537i
$404$	−14.7236	−	12.5911i	−0.732525	−	0.626428i
$405$	−11.5252	+	4.62715i	−0.572692	+	0.229925i
$406$	−21.7433	+	17.9712i	−1.07910	+	0.891895i
$407$	23.3246	−	40.3994i	1.15616	−	2.00253i
$408$	−4.31069	−	2.78179i	−0.213411	−	0.137719i
$409$	−14.6567			−0.724727			−0.362364	−	0.932037i	$-0.618030\pi$
$409$	−14.6567			−0.724727			−0.362364	+	0.932037i	$0.618030\pi$
$410$	4.36179	−	6.16770i	0.215413	−	0.304601i
$411$	−19.1961	−	20.6080i	−0.946876	−	1.01652i
$412$	−25.4094	−	4.72579i	−1.25183	−	0.232823i
$413$	14.4481	−	3.82872i	0.710944	−	0.188399i
$414$	−3.53779	+	4.31762i	−0.173873	+	0.212199i
$415$	−5.87481	−	10.1755i	−0.288383	−	0.499494i
$416$	14.7042	−	9.79184i	0.720935	−	0.480084i
$417$	−24.2683	+	22.6057i	−1.18842	+	1.10701i
$418$	36.5890	−	16.8539i	1.78963	−	0.824350i
$419$	−0.499937	+	0.288639i	−0.0244235	+	0.0141009i	−0.512162	−	0.858889i	$-0.671155\pi$
$419$	−0.499937	+	0.288639i	−0.0244235	+	0.0141009i	0.487739	+	0.872990i	$0.337822\pi$
$420$	−12.0768	+	3.75570i	−0.589286	+	0.183259i
$421$	8.27445	+	4.77726i	0.403272	+	0.232829i	0.687895	−	0.725810i	$-0.258535\pi$
$421$	8.27445	+	4.77726i	0.403272	+	0.232829i	−0.284623	+	0.958640i	$0.591868\pi$
$422$	37.4473	+	3.45274i	1.82291	+	0.168077i
$423$	8.08362	−	3.93169i	0.393039	−	0.191165i
$424$	7.14275	−	6.94511i	0.346882	−	0.337284i
$425$	3.24199			0.157260
$426$	−12.1821	−	4.99608i	−0.590226	−	0.242061i
$427$	19.1052	−	5.06284i	0.924564	−	0.245008i
$428$	13.7137	+	11.7274i	0.662876	+	0.566867i
$429$	8.44749	−	27.5765i	0.407848	−	1.33140i
$430$	1.33346	−	14.4623i	0.0643050	−	0.697432i
$431$	−14.4868	+	25.0918i	−0.697803	+	1.20863i	0.271423	+	0.962460i	$0.412506\pi$
$431$	−14.4868	+	25.0918i	−0.697803	+	1.20863i	−0.969227	+	0.246170i	$0.920828\pi$
$432$	4.38017	−	20.3178i	0.210741	−	0.977542i
$433$	18.4761			0.887904			0.443952	−	0.896051i	$-0.353576\pi$
$433$	18.4761			0.887904			0.443952	+	0.896051i	$0.353576\pi$
$434$	−10.1993	+	27.3872i	−0.489580	+	1.31463i
$435$	−12.2819	−	13.1852i	−0.588874	−	0.632183i
$436$	−2.45564	+	13.2033i	−0.117604	+	0.632325i
$437$		−	7.02877i		−	0.336232i
$438$	20.5937	−	15.9171i	0.984007	−	0.760547i
$439$	7.83770			0.374073			0.187036	−	0.982353i	$-0.440112\pi$
$439$	7.83770			0.374073			0.187036	+	0.982353i	$0.440112\pi$
$440$	5.66768	−	20.0241i	0.270196	−	0.954613i
$441$	−11.8578	+	17.3318i	−0.564657	+	0.825326i
$442$	2.67055	−	3.77624i	0.127025	−	0.179617i
$443$			13.6283i			0.647502i	0.946142	+	0.323751i	$0.104944\pi$
$443$			13.6283i			0.647502i	−0.946142	+	0.323751i	$0.895056\pi$
$444$	26.8666	+	14.0259i	1.27503	+	0.665642i
$445$			13.0190i			0.617158i
$446$	3.62703	−	1.67071i	0.171745	−	0.0791103i
$447$	13.7214	+	4.20327i	0.649000	+	0.198808i
$448$	6.10540	−	20.2663i	0.288453	−	0.957494i
$449$	32.5083			1.53416			0.767080	−	0.641552i	$-0.221709\pi$
$449$	32.5083			1.53416			0.767080	+	0.641552i	$0.221709\pi$
$450$	4.63608	+	12.2889i	0.218547	+	0.579305i
$451$	17.8744	+	10.3198i	0.841674	+	0.485941i
$452$	5.18425	−	6.06229i	0.243846	−	0.285146i
$453$	20.3693	+	21.8674i	0.957033	+	1.02742i
$454$	15.6025	+	1.43859i	0.732263	+	0.0675165i
$455$	−2.92066	−	11.0214i	−0.136923	−	0.516692i
$456$	11.9489	+	23.2852i	0.559559	+	1.09043i
$457$	28.5585			1.33591			0.667956	−	0.744201i	$-0.267170\pi$
$457$	28.5585			1.33591			0.667956	+	0.744201i	$0.267170\pi$
$458$	−12.2071	−	26.5010i	−0.570400	−	1.23831i
$459$	−0.842416	−	5.37594i	−0.0393206	−	0.250927i
$460$	−2.75961	−	2.35992i	−0.128667	−	0.110032i
$461$	−9.30098	−	5.36993i	−0.433190	−	0.250102i	0.267515	−	0.963554i	$-0.413798\pi$
$461$	−9.30098	−	5.36993i	−0.433190	−	0.250102i	−0.700705	+	0.713451i	$0.747131\pi$
$462$	−13.2475	−	31.9148i	−0.616329	−	1.48481i
$463$	11.6215	+	20.1290i	0.540096	+	0.935474i	0.998898	+	0.0469356i	$0.0149456\pi$
$463$	11.6215	+	20.1290i	0.540096	+	0.935474i	−0.458802	+	0.888539i	$0.651721\pi$
$464$	29.7911	−	4.68025i	1.38302	−	0.217275i
$465$	−17.8496	−	5.46785i	−0.827755	−	0.253566i
$466$	3.29743	−	35.7629i	0.152750	−	1.65668i
$467$	−12.5158	+	7.22598i	−0.579160	+	0.334378i	−0.760800	−	0.648987i	$-0.775193\pi$
$467$	−12.5158	+	7.22598i	−0.579160	+	0.334378i	0.181639	+	0.983365i	$0.441860\pi$
$468$	18.1329	+	4.72279i	0.838194	+	0.218311i
$469$	−6.32932	+	1.67726i	−0.292261	+	0.0774486i
$470$	2.44642	+	5.31107i	0.112845	+	0.244981i
$471$	1.63893	+	7.11675i	0.0755178	+	0.327923i
$472$	−15.3748	−	4.35172i	−0.707682	−	0.200304i
$473$	39.6815			1.82456
$474$	−28.7926	−	11.8083i	−1.32249	−	0.542372i
$475$	−14.3230	−	8.26940i	−0.657185	−	0.379426i
$476$	−0.416095	−	5.52575i	−0.0190717	−	0.253273i
$477$	10.5404	+	0.748654i	0.482611	+	0.0342785i
$478$	−0.394067	+	4.27393i	−0.0180242	+	0.195485i
$479$	9.19174	+	15.9206i	0.419981	+	0.727429i	0.995937	−	0.0900518i	$-0.0287033\pi$
$479$	9.19174	+	15.9206i	0.419981	+	0.727429i	−0.575956	+	0.817481i	$0.695370\pi$
$480$	13.1540	+	3.12668i	0.600395	+	0.142713i
$481$	−13.6615	+	23.6623i	−0.622909	+	1.07891i
$482$	−0.634669	+	6.88343i	−0.0289084	+	0.313532i
$483$	−6.02476	−	0.230314i	−0.274136	−	0.0104796i
$484$	34.2717	+	6.37406i	1.55780	+	0.289730i
$485$	−16.1795	+	9.34122i	−0.734672	+	0.424163i
$486$	19.1731	−	10.8809i	0.869708	−	0.493566i
$487$	−1.87846	+	3.25358i	−0.0851210	+	0.147434i	−0.905443	−	0.424468i	$-0.860461\pi$
$487$	−1.87846	+	3.25358i	−0.0851210	+	0.147434i	0.820322	+	0.571902i	$0.193794\pi$
$488$	−20.3306	−	5.75441i	−0.920322	−	0.260490i
$489$	11.9456	−	11.1272i	0.540199	−	0.503191i
$490$	−11.1097	−	7.94899i	−0.501886	−	0.359099i
$491$	−28.4996	+	16.4543i	−1.28617	+	0.742571i	−0.977969	−	0.208751i	$-0.933060\pi$
$491$	−28.4996	+	16.4543i	−1.28617	+	0.742571i	−0.308201	+	0.951321i	$0.599727\pi$
$492$	−6.20567	+	11.8869i	−0.279773	+	0.535904i
$493$	6.83741	−	3.94758i	0.307941	−	0.177790i
$494$	−21.4305	+	9.87147i	−0.964204	+	0.444139i
$495$	19.8498	−	9.65451i	0.892183	−	0.433938i
$496$	24.3046	−	19.6312i	1.09131	−	0.881467i
$497$	−3.64301	−	13.7473i	−0.163411	−	0.616650i
$498$	12.7545	+	16.5020i	0.571545	+	0.739474i
$499$	−28.2816	−	16.3284i	−1.26606	−	0.730959i	−0.291819	−	0.956474i	$-0.594260\pi$
$499$	−28.2816	−	16.3284i	−1.26606	−	0.730959i	−0.974240	+	0.225514i	$0.927594\pi$
$500$	−21.0663	+	7.44516i	−0.942116	+	0.332958i
$501$	16.5282	+	17.7438i	0.738426	+	0.792735i
$502$	−8.95847	+	12.6675i	−0.399836	+	0.565380i
$503$	37.9151			1.69055			0.845276	−	0.534330i	$-0.179436\pi$
$503$	37.9151			1.69055			0.845276	+	0.534330i	$0.179436\pi$
$504$	20.3506	−	9.47911i	0.906487	−	0.422233i
$505$	13.3668			0.594814
$506$	5.72830	−	8.09998i	0.254654	−	0.360088i
$507$	1.64725	−	5.37738i	0.0731569	−	0.238818i
$508$	−1.67899	−	4.75075i	−0.0744930	−	0.210781i
$509$	−21.2360	−	12.2606i	−0.941270	−	0.543442i	−0.0509117	−	0.998703i	$-0.516213\pi$
$509$	−21.2360	−	12.2606i	−0.941270	−	0.543442i	−0.890358	+	0.455261i	$0.849546\pi$
$510$	3.50783	−	0.474322i	0.155329	−	0.0210033i
$511$	27.1353	+	7.35108i	1.20040	+	0.325193i
$512$	−16.6590	+	15.3127i	−0.736230	+	0.676731i
$513$	−9.99072	+	25.8995i	−0.441101	+	1.14349i
$514$	38.1795	−	17.5865i	1.68403	−	0.775708i
$515$	15.4432	−	8.91611i	0.680507	−	0.392891i
$516$	1.09432	+	25.7573i	0.0481748	+	1.13390i
$517$	−13.8360	+	7.98820i	−0.608505	+	0.351321i
$518$	5.44478	+	32.2798i	0.239230	+	1.41829i
$519$	−5.80778	−	25.2193i	−0.254933	−	1.10700i
$520$	−3.31961	+	11.7283i	−0.145575	+	0.514321i
$521$	4.09956	−	7.10064i	0.179605	−	0.311085i	−0.762140	−	0.647412i	$-0.775851\pi$
$521$	4.09956	−	7.10064i	0.179605	−	0.311085i	0.941745	+	0.336327i	$0.109185\pi$
$522$	24.7410	+	20.2724i	1.08289	+	0.887300i
$523$	7.52360	−	4.34375i	0.328984	−	0.189939i	−0.326406	−	0.945230i	$-0.605838\pi$
$523$	7.52360	−	4.34375i	0.328984	−	0.189939i	0.655390	+	0.755291i	$0.272504\pi$
$524$	−3.37650	+	18.1546i	−0.147503	+	0.793087i
$525$	−7.55750	+	12.0061i	−0.329836	+	0.523990i
$526$	2.20286	−	23.8915i	0.0960492	−	1.04172i
$527$	4.08975	−	7.08366i	0.178152	−	0.308569i
$528$	−5.20695	+	36.5720i	−0.226604	+	1.59159i
$529$	10.6345	+	18.4195i	0.462370	+	0.800848i
$530$	−0.631109	+	6.84481i	−0.0274136	+	0.297320i
$531$	−7.41286	−	15.2410i	−0.321691	−	0.661401i
$532$	−12.2563	+	25.4739i	−0.531379	+	1.10444i
$533$	−10.4692	−	6.04441i	−0.453472	−	0.261812i
$534$	−3.09667	−	22.9013i	−0.134006	−	0.991037i
$535$	−12.4500			−0.538259
$536$	6.73528	+	1.90637i	0.290920	+	0.0823426i
$537$	5.73267	+	1.75608i	0.247383	+	0.0757806i
$538$	7.39859	+	16.0620i	0.318976	+	0.692482i
$539$	18.8397	−	32.2199i	0.811481	−	1.38781i
$540$	6.81417	+	12.6183i	0.293235	+	0.543005i
$541$	27.6429	−	15.9597i	1.18846	−	0.686159i	0.230506	−	0.973071i	$-0.425962\pi$
$541$	27.6429	−	15.9597i	1.18846	−	0.686159i	0.957957	+	0.286912i	$0.0926286\pi$
$542$	0.591145	−	6.41138i	0.0253919	−	0.275392i
$543$	−4.73784	−	20.5732i	−0.203320	−	0.882881i
$544$	−2.62842	+	5.30897i	−0.112693	+	0.227620i
$545$	−4.63303	−	8.02465i	−0.198457	−	0.343738i
$546$	7.75918	+	18.6928i	0.332062	+	0.799977i
$547$	3.66682	+	2.11704i	0.156782	+	0.0905181i	0.576338	−	0.817211i	$-0.304481\pi$
$547$	3.66682	+	2.11704i	0.156782	+	0.0905181i	−0.419556	+	0.907729i	$0.637814\pi$
$548$	−21.1357	+	24.7154i	−0.902874	+	1.05579i
$549$	−9.80225	−	20.1536i	−0.418350	−	0.860134i
$550$	−9.76651	−	21.2026i	−0.416445	−	0.904083i
$551$	−40.2766			−1.71584
$552$	5.41568	+	3.49487i	0.230507	+	0.148752i
$553$	−8.61027	−	32.4918i	−0.366146	−	1.38169i
$554$	−19.3452	−	1.78367i	−0.821898	−	0.0757810i
$555$	−20.3777	+	4.69281i	−0.864985	+	0.199199i
$556$	29.1053	+	24.8898i	1.23434	+	1.05556i
$557$	14.5183	+	8.38217i	0.615162	+	0.355164i	0.774983	−	0.631982i	$-0.217758\pi$
$557$	14.5183	+	8.38217i	0.615162	+	0.355164i	−0.159821	+	0.987146i	$0.551092\pi$
$558$	32.6993	+	5.37268i	1.38427	+	0.227444i
$559$	−23.2418			−0.983025
$560$	5.88641	+	13.3649i	0.248746	+	0.564772i
$561$	2.17042	+	9.42466i	0.0916352	+	0.397910i
$562$	−38.8813	+	17.9098i	−1.64011	+	0.755478i
$563$		−	28.3087i		−	1.19307i	−0.802587	−	0.596535i	$-0.796544\pi$
$563$		−	28.3087i		−	1.19307i	0.802587	−	0.596535i	$-0.203456\pi$
$564$	−5.56672	−	8.76066i	−0.234401	−	0.368890i
$565$			5.50365i			0.231540i
$566$	−17.5084	+	24.7574i	−0.735932	+	1.04063i
$567$	21.8726	+	9.41227i	0.918561	+	0.395278i
$568$	−4.14063	+	14.6290i	−0.173737	+	0.613820i
$569$	−34.6965			−1.45455			−0.727277	−	0.686344i	$-0.759215\pi$
$569$	−34.6965			−1.45455			−0.727277	+	0.686344i	$0.759215\pi$
$570$	−16.7073	−	6.85194i	−0.699794	−	0.286996i
$571$			2.40195i			0.100518i	0.998736	+	0.0502592i	$0.0160047\pi$
$571$			2.40195i			0.100518i	−0.998736	+	0.0502592i	$0.983995\pi$
$572$	−32.7416	−	6.08949i	−1.36900	−	0.254614i
$573$	23.1858	−	5.33950i	0.968602	−	0.223061i
$574$	−14.2820	+	2.40900i	−0.596117	+	0.100550i
$575$	−4.07304			−0.169858
$576$	−23.8826	−	2.37127i	−0.995107	−	0.0988031i
$577$	4.54990	−	7.88066i	0.189415	−	0.328076i	−0.755641	−	0.654987i	$-0.772674\pi$
$577$	4.54990	−	7.88066i	0.189415	−	0.328076i	0.945055	+	0.326911i	$0.106008\pi$
$578$	2.06494	−	22.3957i	0.0858901	−	0.931538i
$579$	24.7628	−	5.70267i	1.02911	−	0.236995i
$580$	−13.5229	+	15.8133i	−0.561508	+	0.656610i
$581$	−5.89052	+	21.7439i	−0.244380	+	0.902089i
$582$	26.2390	−	20.2803i	1.08764	−	0.840646i
$583$	−18.7808			−0.777821
$584$	−20.9515	−	21.5478i	−0.866981	−	0.891653i
$585$	−11.6262	+	5.65474i	−0.480685	+	0.233795i
$586$	29.3802	+	2.70893i	1.21368	+	0.111905i
$587$	−24.4711	−	14.1284i	−1.01003	−	0.583141i	−0.0988290	−	0.995104i	$-0.531510\pi$
$587$	−24.4711	−	14.1284i	−1.01003	−	0.583141i	−0.911200	+	0.411964i	$0.864843\pi$
$588$	21.4336	+	11.3403i	0.883905	+	0.467666i
$589$	−36.1368	+	20.8636i	−1.48899	+	0.859669i
$590$	10.0136	−	4.61251i	0.412251	−	0.189894i
$591$	1.40506	+	6.10122i	0.0577964	+	0.250970i
$592$	12.5823	−	32.6559i	0.517130	−	1.34215i
$593$	9.25951	+	16.0379i	0.380243	+	0.658599i	0.991097	−	0.133144i	$-0.0425072\pi$
$593$	9.25951	+	16.0379i	0.380243	+	0.658599i	−0.610854	+	0.791743i	$0.709174\pi$
$594$	−32.6209	+	21.7044i	−1.33845	+	0.890544i
$595$	2.69607	+	2.71097i	0.110528	+	0.111139i
$596$	3.02998	−	16.2915i	0.124113	−	0.667324i
$597$	7.09864	−	23.1732i	0.290528	−	0.948417i
$598$	−3.35512	+	4.74423i	−0.137201	+	0.194006i
$599$	45.8444			1.87315			0.936576	−	0.350465i	$-0.113977\pi$
$599$	45.8444			1.87315			0.936576	+	0.350465i	$0.113977\pi$
$600$	13.4933	−	6.92418i	0.550863	−	0.282678i
$601$	−12.8923	+	22.3301i	−0.525887	+	0.910863i	0.473658	+	0.880709i	$0.342933\pi$
$601$	−12.8923	+	22.3301i	−0.525887	+	0.910863i	−0.999545	+	0.0301540i	$0.990400\pi$
$602$	−21.4639	+	17.7402i	−0.874801	+	0.723036i
$603$	3.24737	+	6.67665i	0.132243	+	0.271894i
$604$	22.4274	−	26.2259i	0.912559	−	1.06712i
$605$	−20.8295	+	12.0259i	−0.846838	+	0.488922i
$606$	−23.5132	+	3.17940i	−0.955157	+	0.129154i
$607$	−6.79498	+	11.7693i	−0.275800	+	0.477699i	−0.970337	−	0.241758i	$-0.922276\pi$
$607$	−6.79498	+	11.7693i	−0.275800	+	0.477699i	0.694537	+	0.719457i	$0.255609\pi$
$608$	25.1540	−	16.7505i	1.02013	−	0.679323i
$609$	−1.31975	+	34.5234i	−0.0534791	+	1.39896i
$610$	13.2412	−	6.09927i	0.536122	−	0.246952i
$611$	8.10386	−	4.67877i	0.327847	−	0.189283i
$612$	−6.05771	+	1.66873i	−0.244868	+	0.0674546i
$613$	−29.1361	−	16.8217i	−1.17680	−	0.679424i	−0.221525	−	0.975155i	$-0.571104\pi$
$613$	−29.1361	−	16.8217i	−1.17680	−	0.679424i	−0.955271	+	0.295731i	$0.904437\pi$
$614$	−14.5613	+	20.5901i	−0.587645	+	0.830947i
$615$	−2.07630	−	9.01596i	−0.0837245	−	0.363559i
$616$	−34.8849	+	19.3676i	−1.40555	+	0.780343i
$617$	−5.71264	−	9.89459i	−0.229982	−	0.398341i	0.727820	−	0.685768i	$-0.240534\pi$
$617$	−5.71264	−	9.89459i	−0.229982	−	0.398341i	−0.957803	+	0.287427i	$0.907200\pi$
$618$	−25.0449	+	19.3574i	−1.00745	+	0.778668i
$619$	−18.6831	+	10.7867i	−0.750936	+	0.433553i	−0.826032	−	0.563623i	$-0.809407\pi$
$619$	−18.6831	+	10.7867i	−0.750936	+	0.433553i	0.0750961	+	0.997176i	$0.476074\pi$
$620$	−3.94158	+	21.1929i	−0.158298	+	0.851126i
$621$	1.05836	+	6.75400i	0.0424705	+	0.271029i
$622$	1.54126	+	1.08998i	0.0617991	+	0.0437042i
$623$	17.6989	−	17.6016i	0.709092	−	0.705195i
$624$	3.04976	−	21.4206i	0.122088	−	0.857510i
$625$	−0.0314413	+	0.0544579i	−0.00125765	+	0.00217832i
$626$	−6.88898	−	4.87188i	−0.275339	−	0.194719i
$627$	14.4508	−	47.1740i	0.577108	−	1.88395i
$628$	7.95088	−	2.80996i	0.317275	−	0.112130i
$629$		−	9.16218i		−	0.365320i
$630$	−6.42064	+	14.0963i	−0.255804	+	0.561610i
$631$	−47.5567			−1.89320			−0.946602	−	0.322406i	$-0.895508\pi$
$631$	−47.5567			−1.89320			−0.946602	+	0.322406i	$0.895508\pi$
$632$	−9.78642	+	34.5758i	−0.389283	+	1.37535i
$633$	33.7018	−	31.3930i	1.33953	−	1.24776i
$634$	1.49770	−	2.11780i	0.0594814	−	0.0841085i
$635$	3.01077	+	1.73827i	0.119479	+	0.0689811i
$636$	−0.517929	−	12.1906i	−0.0205372	−	0.483390i
$637$	−11.0346	+	18.8715i	−0.437205	+	0.747716i
$638$	−46.4149	−	32.8246i	−1.83758	−	1.29954i
$639$	−14.5017	+	7.05329i	−0.573677	+	0.279024i
$640$	1.86895	−	15.4999i	0.0738766	−	0.612686i
$641$	−7.00549	−	12.1339i	−0.276700	−	0.479259i	0.693862	−	0.720108i	$-0.255908\pi$
$641$	−7.00549	−	12.1339i	−0.276700	−	0.479259i	−0.970563	+	0.240849i	$0.922574\pi$
$642$	21.9004	−	2.96133i	0.864340	−	0.116874i
$643$	−27.7885	+	16.0437i	−1.09587	+	0.632701i	−0.935133	−	0.354297i	$-0.884720\pi$
$643$	−27.7885	+	16.0437i	−1.09587	+	0.632701i	−0.160737	+	0.986997i	$0.551387\pi$
$644$	0.522756	+	6.94222i	0.0205995	+	0.273562i
$645$	−12.1241	−	13.0157i	−0.477384	−	0.512494i
$646$	4.56841	−	6.45986i	0.179741	−	0.254160i
$647$	9.07789	−	15.7234i	0.356889	−	0.618149i	−0.630551	−	0.776148i	$-0.717171\pi$
$647$	9.07789	−	15.7234i	0.356889	−	0.618149i	0.987439	+	0.157999i	$0.0505042\pi$
$648$	−14.9880	−	20.5757i	−0.588784	−	0.808290i
$649$	15.0610	+	26.0865i	0.591198	+	1.02398i
$650$	5.72034	+	12.4186i	0.224370	+	0.487097i
$651$	16.6993	+	31.6585i	0.654496	+	1.24080i
$652$	−14.3266	−	12.2515i	−0.561071	−	0.479808i
$653$	4.00821	+	2.31414i	0.156853	+	0.0905593i	0.576372	−	0.817187i	$-0.304468\pi$
$653$	4.00821	+	2.31414i	0.156853	+	0.0905593i	−0.419519	+	0.907747i	$0.637801\pi$
$654$	10.0586	+	13.0139i	0.393321	+	0.508885i
$655$	−6.37042	−	11.0339i	−0.248913	−	0.431130i
$656$	14.4483	+	5.56695i	0.564113	+	0.217353i
$657$	2.25849	−	31.7975i	0.0881121	−	1.24054i
$658$	3.91268	−	10.5064i	0.152532	−	0.409583i
$659$	30.1994	+	17.4356i	1.17640	+	0.679195i	0.955179	−	0.296029i	$-0.0956625\pi$
$659$	30.1994	+	17.4356i	1.17640	+	0.679195i	0.221221	+	0.975224i	$0.428996\pi$
$660$	−13.6694	−	21.5123i	−0.532081	−	0.837366i
$661$			27.2867i			1.06133i	0.847582	+	0.530664i	$0.178058\pi$
$661$			27.2867i			1.06133i	−0.847582	+	0.530664i	$0.821942\pi$
$662$	−7.49302	+	10.5953i	−0.291224	+	0.411800i
$663$	−1.27124	−	5.52011i	−0.0493707	−	0.214383i
$664$	17.2665	−	16.7887i	0.670071	−	0.651530i
$665$	−4.99625	−	18.8539i	−0.193746	−	0.731123i
$666$	34.7297	−	13.1020i	1.34575	−	0.507693i
$667$	−8.59010	+	4.95950i	−0.332610	+	0.192033i
$668$	18.1982	−	21.2804i	0.704111	−	0.823365i
$669$	1.43249	−	4.67631i	0.0553833	−	0.180797i
$670$	−4.38666	+	2.02062i	−0.169472	+	0.0780632i
$671$	19.9157	+	34.4950i	0.768837	+	1.33166i
$672$	−13.5336	−	22.1098i	−0.522070	−	0.852903i
$673$	−11.3703	+	19.6939i	−0.438293	+	0.759146i	−0.997558	−	0.0698433i	$-0.977750\pi$
$673$	−11.3703	+	19.6939i	−0.438293	+	0.759146i	0.559265	+	0.828989i	$0.311083\pi$
$674$	−0.222076	+	2.40857i	−0.00855405	+	0.0927746i
$675$	15.0083	+	5.78944i	0.577669	+	0.222836i
$676$	−6.38458	−	1.18744i	−0.245561	−	0.0456709i
$677$			19.2119i			0.738373i	0.929355	+	0.369186i	$0.120364\pi$
$677$			19.2119i			0.738373i	−0.929355	+	0.369186i	$0.879636\pi$
$678$	−1.30909	−	9.68132i	−0.0502752	−	0.371809i
$679$	34.5738	+	9.36618i	1.32682	+	0.359441i
$680$	−1.00240	−	3.96253i	−0.0384402	−	0.151956i
$681$	14.0420	−	13.0800i	0.538089	−	0.501226i
$682$	−58.6475	−	5.40745i	−2.24573	−	0.207062i
$683$	−4.76944	−	2.75364i	−0.182497	−	0.105365i	0.405968	−	0.913887i	$-0.366934\pi$
$683$	−4.76944	−	2.75364i	−0.182497	−	0.105365i	−0.588466	+	0.808522i	$0.700268\pi$
$684$	31.0192	+	8.07908i	1.18605	+	0.308911i
$685$		−	22.4379i		−	0.857308i
$686$	4.21394	+	25.8504i	0.160889	+	0.986973i
$687$	−34.1676	−	10.4666i	−1.30358	−	0.399324i
$688$	29.4081	−	4.62009i	1.12117	−	0.176139i
$689$	11.0001			0.419070
$690$	−4.40703	+	0.595909i	−0.167773	+	0.0226859i
$691$		−	5.18056i		−	0.197078i	−0.995133	−	0.0985389i	$-0.968583\pi$
$691$		−	5.18056i		−	0.197078i	0.995133	−	0.0985389i	$-0.0314169\pi$
$692$	−28.1751	+	9.95750i	−1.07106	+	0.378527i
$693$	−39.9620	−	13.9323i	−1.51803	−	0.529246i
$694$	−8.01131	+	11.3282i	−0.304105	+	0.430013i
$695$	−26.4233			−1.00229
$696$	20.0265	−	31.0332i	0.759102	−	1.17631i
$697$	4.05374			0.153546
$698$	−2.99607	−	6.50433i	−0.113403	−	0.246193i
$699$	−29.9809	−	32.1859i	−1.13398	−	1.21738i
$700$	14.7617	+	7.10231i	0.557939	+	0.268442i
$701$			36.9001i			1.39370i	0.717219	+	0.696848i	$0.245415\pi$
$701$			36.9001i			1.39370i	−0.717219	+	0.696848i	$0.754585\pi$
$702$	19.1064	−	12.7125i	0.721123	−	0.479802i
$703$	−23.3701	+	40.4782i	−0.881420	+	1.52666i
$704$	42.6388	+	1.19661i	1.60701	+	0.0450988i
$705$	6.84753	+	2.09760i	0.257893	+	0.0790002i
$706$	−1.70386	+	18.4796i	−0.0641257	+	0.695488i
$707$	−18.0719	−	18.1718i	−0.679664	−	0.683420i
$708$	−16.5174	+	10.4956i	−0.620764	+	0.394447i
$709$		−	7.30693i		−	0.274417i	−0.990542	−	0.137209i	$-0.956187\pi$
$709$		−	7.30693i		−	0.274417i	0.990542	−	0.137209i	$-0.0438131\pi$
$710$	−4.38878	−	9.52783i	−0.164708	−	0.357573i
$711$	−34.2748	+	16.6705i	−1.28541	+	0.625193i
$712$	−25.8699	+	6.54429i	−0.969515	+	0.245257i
$713$	−5.13812	+	8.89948i	−0.192424	+	0.333288i
$714$	−5.38742	−	4.12751i	−0.201619	−	0.154468i
$715$	19.8995	−	11.4890i	0.744200	−	0.429664i
$716$	1.26590	−	6.80641i	0.0473088	−	0.254367i
$717$	3.58294	+	3.84645i	0.133807	+	0.143648i
$718$	−2.68258	+	29.0944i	−0.100113	+	1.08579i
$719$	−15.2574	−	26.4265i	−0.569004	−	0.985543i	−0.996665	−	0.0816041i	$-0.973996\pi$
$719$	−15.2574	−	26.4265i	−0.569004	−	0.985543i	0.427661	−	0.903939i	$-0.359338\pi$
$720$	13.5867	−	9.46610i	0.506347	−	0.352781i
$721$	−33.0003	−	8.93994i	−1.22900	−	0.332941i
$722$	−12.2549	+	5.64496i	−0.456081	+	0.210083i
$723$	5.77055	+	6.19495i	0.214609	+	0.230393i
$724$	−22.9845	+	8.12307i	−0.854213	+	0.301892i
$725$			23.3395i			0.866809i
$726$	33.7801	−	26.1089i	1.25370	−	0.968991i
$727$	19.1193	−	33.1157i	0.709097	−	1.22819i	−0.256096	−	0.966651i	$-0.582436\pi$
$727$	19.1193	−	33.1157i	0.709097	−	1.22819i	0.965193	−	0.261540i	$-0.0842304\pi$
$728$	20.4324	−	11.3438i	0.757277	−	0.420429i
$729$	5.70034	−	26.3914i	0.211124	−	0.977459i
$730$	20.6490	+	1.90389i	0.764253	+	0.0704660i
$731$	6.74952	−	3.89684i	0.249640	−	0.144130i
$732$	−21.8415	+	13.8786i	−0.807286	+	0.512968i
$733$	−1.35161	−	0.780353i	−0.0499229	−	0.0288230i	0.474831	−	0.880077i	$-0.342509\pi$
$733$	−1.35161	−	0.780353i	−0.0499229	−	0.0288230i	−0.524754	+	0.851254i	$0.675843\pi$
$734$	−0.397876	+	4.31525i	−0.0146859	+	0.159279i
$735$	−16.3245	+	3.66478i	−0.602137	+	0.135177i
$736$	3.30219	−	6.66987i	0.121720	−	0.245855i
$737$	−6.59783	−	11.4278i	−0.243034	−	0.420948i
$738$	5.79688	+	15.3659i	0.213386	+	0.565626i
$739$	12.0246	+	6.94238i	0.442331	+	0.255380i	0.704586	−	0.709619i	$-0.251133\pi$
$739$	12.0246	+	6.94238i	0.442331	+	0.255380i	−0.262255	+	0.964999i	$0.584466\pi$
$740$	8.04587	+	22.7661i	0.295772	+	0.836898i
$741$	−8.46396	+	27.6302i	−0.310931	+	1.01502i
$742$	10.1586	−	8.39622i	0.372933	−	0.308235i
$743$	−11.5103	−	19.9363i	−0.422270	−	0.731393i	0.573891	−	0.818932i	$-0.305433\pi$
$743$	−11.5103	−	19.9363i	−0.422270	−	0.731393i	−0.996161	+	0.0875383i	$0.972100\pi$
$744$	1.89263	−	38.2173i	0.0693871	−	1.40112i
$745$	5.71665	+	9.90152i	0.209442	+	0.362764i
$746$	−7.68819	−	16.6907i	−0.281485	−	0.611090i
$747$	25.4798	+	1.80976i	0.932256	+	0.0662156i
$748$	10.5293	−	3.72121i	0.384989	−	0.136061i
$749$	16.8324	+	16.9254i	0.615041	+	0.618439i
$750$	−10.3834	+	25.3183i	−0.379149	+	0.924494i
$751$	6.55924	−	11.3609i	0.239350	−	0.414567i	−0.721178	−	0.692750i	$-0.756399\pi$
$751$	6.55924	−	11.3609i	0.239350	−	0.414567i	0.960528	+	0.278183i	$0.0897323\pi$
$752$	−9.32384	+	7.53100i	−0.340005	+	0.274627i
$753$	4.26441	+	18.5174i	0.155404	+	0.674813i
$754$	27.1856	+	19.2257i	0.990042	+	0.700157i
$755$			23.8092i			0.866504i
$756$	7.94146	−	26.3236i	0.288828	−	0.957381i
$757$		−	22.0975i		−	0.803148i	−0.915827	−	0.401574i	$-0.868463\pi$
$757$		−	22.0975i		−	0.803148i	0.915827	−	0.401574i	$-0.131537\pi$
$758$	9.96490	−	14.0907i	0.361941	−	0.511795i
$759$	−2.72678	−	11.8406i	−0.0989760	−	0.429786i
$760$	−5.67873	+	20.0632i	−0.205989	+	0.727768i
$761$	16.0740	−	27.8409i	0.582681	−	1.00923i	−0.412479	−	0.910967i	$-0.635337\pi$
$761$	16.0740	−	27.8409i	0.582681	−	1.00923i	0.995160	−	0.0982664i	$-0.0313297\pi$
$762$	−5.70963	−	2.34161i	−0.206838	−	0.0848274i
$763$	−4.64542	+	17.1478i	−0.168175	+	0.620792i
$764$	−9.15462	−	25.9033i	−0.331203	−	0.937150i
$765$	2.42820	−	3.59147i	0.0877918	−	0.129850i
$766$	−29.4945	+	13.5860i	−1.06568	+	0.490881i
$767$	−8.82140	−	15.2791i	−0.318522	−	0.551697i
$768$	0.399156	+	27.7099i	0.0144033	+	0.999896i
$769$	9.15553	+	15.8578i	0.330157	+	0.571848i	0.982542	−	0.186039i	$-0.0595651\pi$
$769$	9.15553	+	15.8578i	0.330157	+	0.571848i	−0.652386	+	0.757887i	$0.726232\pi$
$770$	9.60782	−	25.7991i	0.346242	−	0.929736i
$771$	15.0790	−	49.2246i	0.543055	−	1.77278i
$772$	−9.77729	−	27.6652i	−0.351892	−	0.995692i
$773$	−12.0569	−	6.96103i	−0.433655	−	0.250371i	0.267248	−	0.963628i	$-0.413886\pi$
$773$	−12.0569	−	6.96103i	−0.433655	−	0.250371i	−0.700902	+	0.713257i	$0.747219\pi$
$774$	24.4230	+	20.0118i	0.877867	+	0.719311i
$775$	12.0901	+	20.9406i	0.434288	+	0.752209i
$776$	−26.6949	−	27.4545i	−0.958289	−	0.985560i
$777$	33.9304	+	21.3582i	1.21725	+	0.766222i
$778$	−14.8970	−	1.37354i	−0.534082	−	0.0492437i
$779$	−17.9093	−	10.3399i	−0.641667	−	0.370466i
$780$	8.00631	+	12.6000i	0.286672	+	0.451151i
$781$	24.8211	−	14.3305i	0.888170	−	0.512785i
$782$	0.178899	−	1.94028i	0.00639740	−	0.0693842i
$783$	38.7021	−	6.06467i	1.38310	−	0.216734i
$784$	10.2108	−	26.0718i	0.364672	−	0.931136i
$785$	−2.90917	+	5.03884i	−0.103833	+	0.179844i
$786$	13.8305	+	17.8942i	0.493319	+	0.638264i
$787$		−	48.5622i		−	1.73106i	−0.500860	−	0.865529i	$-0.666983\pi$
$787$		−	48.5622i		−	1.73106i	0.500860	−	0.865529i	$-0.333017\pi$
$788$	6.81632	−	2.40899i	0.242821	−	0.0858166i
$789$	−20.0289	−	21.5019i	−0.713046	−	0.765488i
$790$	−10.3729	−	22.5191i	−0.369052	−	0.801194i
$791$	7.48205	−	7.44094i	0.266031	−	0.264569i
$792$	29.1624	+	34.5904i	1.03624	+	1.22912i
$793$	−11.6648	−	20.2040i	−0.414229	−	0.717466i
$794$	13.6244	+	1.25620i	0.483510	+	0.0445808i
$795$	5.73817	+	6.16020i	0.203512	+	0.218480i
$796$	−27.5136	−	5.11716i	−0.975195	−	0.181373i
$797$	32.5690	−	18.8037i	1.15365	−	0.666062i	0.203878	−	0.978996i	$-0.434645\pi$
$797$	32.5690	−	18.8037i	1.15365	−	0.666062i	0.949775	+	0.312934i	$0.101312\pi$
$798$	13.2733	+	31.9770i	0.469871	+	1.13197i
$799$	−1.56893	+	2.71746i	−0.0555047	+	0.0961370i
$800$	−9.70661	−	14.5763i	−0.343180	−	0.515349i
$801$	−23.4473	−	15.8528i	−0.828471	−	0.560132i
$802$	22.5248	−	10.3755i	0.795379	−	0.366373i
$803$			56.6566i			1.99937i
$804$	7.23584	−	4.59782i	0.255189	−	0.162153i
$805$	−3.38718	−	3.40590i	−0.119382	−	0.120042i
$806$	34.3504	+	3.16719i	1.20994	+	0.111560i
$807$	20.7086	+	6.34367i	0.728979	+	0.223308i
$808$	6.71913	+	26.5611i	0.236378	+	0.934415i
$809$	6.47508	−	11.2152i	0.227652	−	0.394304i	−0.729460	−	0.684023i	$-0.760229\pi$
$809$	6.47508	−	11.2152i	0.227652	−	0.394304i	0.957112	+	0.289719i	$0.0935619\pi$
$810$	17.0860	+	4.06837i	0.600340	+	0.142948i
$811$		−	5.37422i		−	0.188714i	−0.995538	−	0.0943572i	$-0.969920\pi$
$811$		−	5.37422i		−	0.188714i	0.995538	−	0.0943572i	$-0.0300796\pi$
$812$	39.7806	−	2.99552i	1.39603	−	0.105122i
$813$	−5.37482	−	5.77012i	−0.188503	−	0.202367i
$814$	−59.9207	+	27.6011i	−2.10022	+	0.967418i
$815$	13.0064			0.455593
$816$	2.70581	+	6.73196i	0.0947225	+	0.235666i
$817$	−39.7589			−1.39099
$818$	16.9234	+	11.9682i	0.591711	+	0.418458i
$819$	23.4061	+	8.16031i	0.817876	+	0.285144i
$820$	−10.0727	+	3.55984i	−0.351753	+	0.124315i
$821$		−	27.9860i		−	0.976717i	−0.872643	−	0.488358i	$-0.837596\pi$
$821$		−	27.9860i		−	0.976717i	0.872643	−	0.488358i	$-0.162404\pi$
$822$	5.33704	+	39.4699i	0.186151	+	1.37667i
$823$	−22.8265			−0.795683			−0.397841	−	0.917454i	$-0.630241\pi$
$823$	−22.8265			−0.795683			−0.397841	+	0.917454i	$0.630241\pi$
$824$	25.4800	+	26.2051i	0.887638	+	0.912898i
$825$	−27.3364	−	8.37396i	−0.951733	−	0.291544i
$826$	−19.8089	−	7.37701i	−0.689240	−	0.256679i
$827$		−	15.5651i		−	0.541250i	−0.962685	−	0.270625i	$-0.912770\pi$
$827$		−	15.5651i		−	0.541250i	0.962685	−	0.270625i	$-0.0872304\pi$
$828$	7.61054	−	2.09650i	0.264485	−	0.0728582i
$829$	−40.9974	−	23.6698i	−1.42390	−	0.822087i	−0.427268	−	0.904125i	$-0.640524\pi$
$829$	−40.9974	−	23.6698i	−1.42390	−	0.822087i	−0.996629	+	0.0820375i	$0.973857\pi$
$830$	−1.52561	+	16.5463i	−0.0529547	+	0.574330i
$831$	−17.4103	+	16.2175i	−0.603956	+	0.562580i
$832$	−24.9740	−	0.700864i	−0.865816	−	0.0242981i
$833$	0.0403937	−	7.33047i	0.00139956	−	0.253986i
$834$	46.4805	−	6.28499i	1.60949	−	0.217632i
$835$			19.3194i			0.668576i
$836$	−56.0098	−	10.4170i	−1.93714	−	0.360281i
$837$	31.5826	−	25.4893i	1.09165	−	0.881039i
$838$	0.812945	+	0.0749555i	0.0280827	+	0.00258930i
$839$	−22.4789	+	38.9345i	−0.776056	+	1.34417i	0.158143	+	0.987416i	$0.449449\pi$
$839$	−22.4789	+	38.9345i	−0.776056	+	1.34417i	−0.934199	+	0.356752i	$0.883884\pi$
$840$	17.0112	+	5.52498i	0.586943	+	0.190630i
$841$	13.9192	+	24.1087i	0.479971	+	0.831334i
$842$	−5.65314	−	12.2727i	−0.194820	−	0.422946i
$843$	−15.3561	+	50.1294i	−0.528893	+	1.72655i
$844$	−40.4192	−	34.5650i	−1.39129	−	1.18978i
$845$	3.88038	−	2.24034i	0.133489	−	0.0770700i
$846$	−12.5442	−	2.06109i	−0.431280	−	0.0708618i
$847$	44.5103	+	12.0580i	1.52939	+	0.414319i
$848$	−13.9185	+	2.18663i	−0.477964	+	0.0750893i
$849$	8.33434	+	36.1904i	0.286034	+	1.24205i
$850$	−3.74337	−	2.64731i	−0.128396	−	0.0908019i
$851$			11.5108i			0.394585i
$852$	9.98646	+	15.7163i	0.342130	+	0.538430i
$853$	−10.8537	−	6.26636i	−0.371622	−	0.214556i	0.302545	−	0.953135i	$-0.402164\pi$
$853$	−10.8537	−	6.26636i	−0.371622	−	0.214556i	−0.674167	+	0.738579i	$0.735497\pi$
$854$	−26.1939	−	9.75485i	−0.896338	−	0.333804i
$855$	−19.8885	+	9.67333i	−0.680173	+	0.330821i
$856$	−6.25826	−	24.7392i	−0.213903	−	0.845570i
$857$	4.81037	+	8.33181i	0.164319	+	0.284609i	0.936413	−	0.350899i	$-0.114124\pi$
$857$	4.81037	+	8.33181i	0.164319	+	0.284609i	−0.772094	+	0.635508i	$0.780791\pi$
$858$	−32.2720	+	24.9432i	−1.10175	+	0.851548i
$859$	30.9442	+	17.8657i	1.05580	+	0.609568i	0.924268	−	0.381743i	$-0.124676\pi$
$859$	30.9442	+	17.8657i	1.05580	+	0.609568i	0.131535	+	0.991312i	$0.458009\pi$
$860$	−13.3491	+	15.6100i	−0.455200	+	0.532296i
$861$	−9.44978	+	15.0123i	−0.322048	+	0.511616i
$862$	37.2163	−	17.1428i	1.26759	−	0.583888i
$863$	−23.7394	−	41.1178i	−0.808098	−	1.39967i	−0.914180	−	0.405309i	$-0.867164\pi$
$863$	−23.7394	−	41.1178i	−0.808098	−	1.39967i	0.106082	−	0.994357i	$-0.466170\pi$
$864$	−21.6484	+	19.8833i	−0.736495	+	0.676443i
$865$	10.3091	−	17.8559i	0.350519	−	0.607118i
$866$	−21.3334	−	15.0870i	−0.724939	−	0.512676i
$867$	−18.7749	−	20.1557i	−0.637627	−	0.684523i
$868$	34.1401	−	23.2943i	1.15879	−	0.790660i
$869$	58.6650	−	33.8702i	1.99007	−	1.14897i
$870$	3.41471	+	25.2534i	0.115769	+	0.856169i
$871$	3.86441	+	6.69336i	0.130941	+	0.226796i
$872$	13.6168	−	13.2400i	0.461124	−	0.448365i
$873$	2.87760	−	40.5140i	0.0973918	−	1.37119i
$874$	−5.73947	+	8.11577i	−0.194140	+	0.274520i
$875$	−28.5712	+	7.57132i	−0.965882	+	0.255957i
$876$	−36.7759	+	1.56245i	−1.24254	+	0.0527904i
$877$	30.2745	+	17.4790i	1.02230	+	0.590223i	0.914768	−	0.403979i	$-0.132373\pi$
$877$	30.2745	+	17.4790i	1.02230	+	0.590223i	0.107529	+	0.994202i	$0.465706\pi$
$878$	−9.04980	−	6.40001i	−0.305416	−	0.215990i
$879$	26.4416	−	24.6301i	0.891852	−	0.830753i
$880$	−22.8952	+	18.4928i	−0.771799	+	0.623393i
$881$	−0.621398			−0.0209354			−0.0104677	−	0.999945i	$-0.503332\pi$
$881$	−0.621398			−0.0209354			−0.0104677	+	0.999945i	$0.503332\pi$
$882$	27.8442	−	10.3295i	0.937564	−	0.347813i
$883$		−	2.97251i		−	0.100033i	−0.998748	−	0.0500164i	$-0.984073\pi$
$883$		−	2.97251i		−	0.100033i	0.998748	−	0.0500164i	$-0.0159274\pi$
$884$	−6.16711	+	2.17955i	−0.207422	+	0.0733061i
$885$	3.95484	−	12.9104i	0.132941	−	0.433979i
$886$	11.1285	−	15.7360i	0.373868	−	0.528660i
$887$	−24.1500	+	41.8289i	−0.810876	+	1.40448i	0.101375	+	0.994848i	$0.467676\pi$
$887$	−24.1500	+	41.8289i	−0.810876	+	1.40448i	−0.912252	+	0.409630i	$0.865658\pi$
$888$	−19.5684	−	38.1335i	−0.656672	−	1.27967i
$889$	−1.70744	−	6.44320i	−0.0572656	−	0.216098i
$890$	10.6309	−	15.0323i	0.356347	−	0.503886i
$891$	−6.78263	+	47.5058i	−0.227227	+	1.59150i
$892$	−5.55220	−	1.03263i	−0.185901	−	0.0345750i
$893$	13.8629	−	8.00378i	0.463906	−	0.267836i
$894$	−12.4112	−	16.0578i	−0.415091	−	0.537052i
$895$	2.38836	+	4.13676i	0.0798341	+	0.138277i
$896$	−23.5984	+	18.4150i	−0.788368	+	0.615203i
$897$	1.59710	+	6.93513i	0.0533257	+	0.231557i
$898$	−37.5357	−	26.5452i	−1.25258	−	0.885825i
$899$	50.9962	+	29.4427i	1.70082	+	0.981968i
$900$	4.68168	−	17.9751i	0.156056	−	0.599169i
$901$	−3.19447	+	1.84433i	−0.106423	+	0.0614434i
$902$	−12.2119	−	26.5114i	−0.406612	−	0.882735i
$903$	−1.30279	+	34.0796i	−0.0433541	+	1.13410i
$904$	−10.9363	+	2.76654i	−0.363735	+	0.0920137i
$905$	8.40989	−	14.5663i	0.279554	−	0.484202i
$906$	−5.66321	−	41.8821i	−0.188148	−	1.39144i
$907$	−2.20507	+	1.27310i	−0.0732181	+	0.0422725i	−0.536162	−	0.844115i	$-0.680126\pi$
$907$	−2.20507	+	1.27310i	−0.0732181	+	0.0422725i	0.462944	+	0.886388i	$0.346793\pi$
$908$	−16.8408	−	14.4016i	−0.558880	−	0.477934i
$909$	−16.2763	+	24.0738i	−0.539852	+	0.798477i
$910$	−5.62739	+	15.1108i	−0.186546	+	0.500918i
$911$	18.0178	−	31.2078i	0.596958	−	1.03396i	−0.396310	−	0.918117i	$-0.629709\pi$
$911$	18.0178	−	31.2078i	0.596958	−	1.03396i	0.993267	−	0.115844i	$-0.0369573\pi$
$912$	5.21711	−	36.6433i	0.172756	−	1.21338i
$913$	−45.3997			−1.50251
$914$	−32.9751	−	23.3200i	−1.09072	−	0.771356i
$915$	5.22961	−	17.0718i	0.172886	−	0.564378i
$916$	−7.54496	+	40.5673i	−0.249293	+	1.34038i
$917$	−6.38744	+	23.5782i	−0.210932	+	0.778621i
$918$	−3.41712	+	6.89522i	−0.112782	+	0.227576i
$919$	26.1746	+	45.3357i	0.863420	+	1.49549i	0.868607	+	0.495501i	$0.165016\pi$
$919$	26.1746	+	45.3357i	0.863420	+	1.49549i	−0.00518689	+	0.999987i	$0.501651\pi$
$920$	1.25935	+	4.97829i	0.0415196	+	0.164129i
$921$	6.93146	+	30.0986i	0.228399	+	0.991783i
$922$	6.35448	+	13.7953i	0.209273	+	0.454323i
$923$	−14.5380	+	8.39351i	−0.478523	+	0.276276i
$924$	−10.7643	+	47.6679i	−0.354120	+	1.56816i
$925$	23.4564	+	13.5425i	0.771241	+	0.445276i
$926$	3.01794	−	32.7317i	0.0991758	−	1.07563i
$927$	−2.74664	+	38.6702i	−0.0902114	+	1.27010i
$928$	−38.2200	−	18.9224i	−1.25463	−	0.621158i
$929$	38.0406			1.24807			0.624035	−	0.781396i	$-0.285492\pi$
$929$	38.0406			1.24807			0.624035	+	0.781396i	$0.285492\pi$
$930$	16.1452	+	20.8889i	0.529421	+	0.684973i
$931$	−18.8764	+	32.2827i	−0.618649	+	1.05802i
$932$	−33.0102	+	38.6011i	−1.08129	+	1.26442i
$933$	2.25302	−	0.518853i	0.0737607	−	0.0169865i
$934$	20.3518	+	1.87649i	0.665932	+	0.0614006i
$935$	−3.85260	+	6.67290i	−0.125993	+	0.218227i
$936$	−17.0807	−	20.2599i	−0.558300	−	0.662216i
$937$	−40.4616			−1.32182			−0.660911	−	0.750464i	$-0.729830\pi$
$937$	−40.4616			−1.32182			−0.660911	+	0.750464i	$0.729830\pi$
$938$	8.67774	+	3.23167i	0.283338	+	0.105518i
$939$	−10.0703	+	2.31911i	−0.328633	+	0.0756814i
$940$	1.51209	−	8.13010i	0.0493188	−	0.265175i
$941$		−	33.4526i		−	1.09052i	−0.838266	−	0.545262i	$-0.816430\pi$
$941$		−	33.4526i		−	1.09052i	0.838266	−	0.545262i	$-0.183570\pi$
$942$	3.91892	−	9.55566i	0.127685	−	0.311340i
$943$	−5.09287			−0.165847
$944$	14.1990	+	17.5793i	0.462139	+	0.572157i
$945$	7.63987	+	17.3646i	0.248525	+	0.564869i
$946$	−45.8183	−	32.4026i	−1.48968	−	1.05350i
$947$		−	50.6270i		−	1.64516i	−0.568653	−	0.822578i	$-0.692535\pi$
$947$		−	50.6270i		−	1.64516i	0.568653	−	0.822578i	$-0.307465\pi$
$948$	23.6031	+	37.1455i	0.766592	+	1.20643i
$949$		−	33.1843i		−	1.07721i
$950$	9.78555	+	21.2440i	0.317485	+	0.689245i
$951$	−0.712937	−	3.09580i	−0.0231186	−	0.100388i
$952$	−4.03171	+	6.72008i	−0.130668	+	0.217799i
$953$	16.2925			0.527767			0.263883	−	0.964555i	$-0.414997\pi$
$953$	16.2925			0.527767			0.263883	+	0.964555i	$0.414997\pi$
$954$	−11.5591	−	9.47136i	−0.374240	−	0.306647i
$955$	16.4161	+	9.47786i	0.531214	+	0.306696i
$956$	3.94497	−	4.61311i	0.127589	−	0.149199i
$957$	−67.8494	+	15.6251i	−2.19326	+	0.505089i
$958$	2.38697	−	25.8884i	0.0771195	−	0.836415i
$959$	−30.5037	+	30.3361i	−0.985016	+	0.979603i
$960$	−12.6351	−	14.3514i	−0.407797	−	0.463188i
$961$	30.0061			0.967940
$962$	35.0961	−	16.1662i	1.13154	−	0.521220i
$963$	15.1600	−	22.4226i	0.488523	−	0.722557i
$964$	6.35361	−	7.42970i	0.204636	−	0.239295i
$965$	17.5327	+	10.1225i	0.564398	+	0.325855i
$966$	6.76842	+	5.18556i	0.217770	+	0.166843i
$967$	22.7819	+	39.4593i	0.732615	+	1.26893i	0.955762	+	0.294142i	$0.0950337\pi$
$967$	22.7819	+	39.4593i	0.732615	+	1.26893i	−0.223147	+	0.974785i	$0.571633\pi$
$968$	−34.3670	−	35.3450i	−1.10460	−	1.13603i
$969$	−2.17465	−	9.44304i	−0.0698599	−	0.303354i
$970$	26.3094	+	2.42579i	0.844743	+	0.0778874i
$971$	−17.3880	+	10.0389i	−0.558006	+	0.322165i	−0.752345	−	0.658769i	$-0.771077\pi$
$971$	−17.3880	+	10.0389i	−0.558006	+	0.322165i	0.194339	+	0.980935i	$0.437744\pi$
$972$	−31.0232	−	3.09252i	−0.995068	−	0.0991927i
$973$	35.7243	+	35.9217i	1.14527	+	1.15160i
$974$	4.82573	−	2.22286i	0.154626	−	0.0712251i
$975$	16.0112	+	4.90471i	0.512769	+	0.157076i
$976$	18.7758	+	23.2456i	0.601000	+	0.744074i
$977$	−17.2200			−0.550918			−0.275459	−	0.961313i	$-0.588830\pi$
$977$	−17.2200			−0.550918			−0.275459	+	0.961313i	$0.588830\pi$
$978$	−22.8791	+	3.09367i	−0.731594	+	0.0989247i
$979$	43.5648	+	25.1522i	1.39234	+	0.803867i
$980$	6.33696	+	18.2501i	0.202427	+	0.582979i
$981$	20.0940	+	1.42722i	0.641553	+	0.0455677i
$982$	46.3431	+	4.27295i	1.47887	+	0.136355i
$983$	16.5297	+	28.6303i	0.527215	+	0.913164i	0.999497	+	0.0317160i	$0.0100972\pi$
$983$	16.5297	+	28.6303i	0.527215	+	0.913164i	−0.472282	+	0.881448i	$0.656569\pi$
$984$	16.8719	−	8.65788i	0.537855	−	0.276003i
$985$	−2.49404	+	4.31981i	−0.0794669	+	0.137641i
$986$	−11.1183	−	1.02513i	−0.354078	−	0.0326469i
$987$	−6.40624	−	12.1450i	−0.203913	−	0.386579i
$988$	32.8055	+	6.10136i	1.04368	+	0.194110i
$989$	−8.47969	+	4.89575i	−0.269638	+	0.155676i
$990$	−30.8032	−	5.06114i	−0.978989	−	0.160853i
$991$	5.97580	−	10.3504i	0.189828	−	0.328791i	−0.755365	−	0.655304i	$-0.772540\pi$
$991$	5.97580	−	10.3504i	0.189828	−	0.328791i	0.945193	+	0.326513i	$0.105874\pi$
$992$	−44.0935	+	2.82080i	−1.39997	+	0.0895606i
$993$	3.56683	+	15.4883i	0.113190	+	0.491506i
$994$	−7.01918	+	18.8481i	−0.222635	+	0.597824i
$995$	16.7221	−	9.65450i	0.530126	−	0.306068i
$996$	−1.25201	−	29.4690i	−0.0396716	−	0.933762i
$997$	1.72487	−	0.995853i	0.0546271	−	0.0315390i	−0.472438	−	0.881364i	$-0.656626\pi$
$997$	1.72487	−	0.995853i	0.0546271	−	0.0315390i	0.527065	+	0.849825i	$0.323293\pi$
$998$	19.3221	+	41.9474i	0.611631	+	1.32782i
$999$	16.3615	−	42.4148i	0.517655	−	1.34195i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cq.a.277.19	yes	184
7.2	even	3		504.2.w.a.205.43	✓	184
8.5	even	2	inner	504.2.cq.a.277.20	yes	184
9.4	even	3		504.2.w.a.445.80	yes	184
56.37	even	6		504.2.w.a.205.80	yes	184
63.58	even	3	inner	504.2.cq.a.373.19	yes	184
72.13	even	6		504.2.w.a.445.43	yes	184
504.373	even	6	inner	504.2.cq.a.373.20	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.43	✓	184	7.2	even	3
504.2.w.a.205.80	yes	184	56.37	even	6
504.2.w.a.445.43	yes	184	72.13	even	6
504.2.w.a.445.80	yes	184	9.4	even	3
504.2.cq.a.277.19	yes	184	1.1	even	1	trivial
504.2.cq.a.277.20	yes	184	8.5	even	2	inner
504.2.cq.a.373.19	yes	184	63.58	even	3	inner
504.2.cq.a.373.20	yes	184	504.373	even	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cq (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.15465 - 0.816568i) q^{2} +(-1.68787 + 0.388703i) q^{3} +(0.666434 + 1.88570i) q^{4} +(-1.19505 - 0.689965i) q^{5} +(2.26630 + 0.929446i) q^{6} +(0.677727 + 2.55748i) q^{7} +(0.770303 - 2.72151i) q^{8} +(2.69782 - 1.31216i) q^{9} +O(q^{10})\)	\(q+(-1.15465 - 0.816568i) q^{2} +(-1.68787 + 0.388703i) q^{3} +(0.666434 + 1.88570i) q^{4} +(-1.19505 - 0.689965i) q^{5} +(2.26630 + 0.929446i) q^{6} +(0.677727 + 2.55748i) q^{7} +(0.770303 - 2.72151i) q^{8} +(2.69782 - 1.31216i) q^{9} +(0.816467 + 1.77251i) q^{10} +(-4.61761 + 2.66598i) q^{11} +(-1.85783 - 2.92377i) q^{12} +(2.70458 - 1.56149i) q^{13} +(1.30581 - 3.50640i) q^{14} +(2.28529 + 0.700052i) q^{15} +(-3.11173 + 2.51339i) q^{16} +(-0.523613 + 0.906924i) q^{17} +(-4.18651 - 0.687867i) q^{18} +(4.62661 - 2.67117i) q^{19} +(0.504642 - 2.71333i) q^{20} +(-2.13801 - 4.05326i) q^{21} +(7.50867 + 0.692318i) q^{22} +(0.657835 - 1.13940i) q^{23} +(-0.242314 + 4.89298i) q^{24} +(-1.54790 - 2.68103i) q^{25} +(-4.39790 - 0.405497i) q^{26} +(-4.04353 + 3.26341i) q^{27} +(-4.37097 + 2.98238i) q^{28} +(-6.52907 - 3.76956i) q^{29} +(-2.06707 - 2.67441i) q^{30} -7.81064 q^{31} +(5.64531 - 0.361149i) q^{32} +(6.75765 - 6.29470i) q^{33} +(1.34515 - 0.619615i) q^{34} +(0.954649 - 3.52393i) q^{35} +(4.27226 + 4.21281i) q^{36} +(-7.57686 + 4.37450i) q^{37} +(-7.52331 - 0.693668i) q^{38} +(-3.95802 + 3.68687i) q^{39} +(-2.79830 + 2.72088i) q^{40} +(-1.93547 - 3.35232i) q^{41} +(-0.841101 + 6.42593i) q^{42} +(-6.44514 - 3.72111i) q^{43} +(-8.10456 - 6.93072i) q^{44} +(-4.12939 - 0.293299i) q^{45} +(-1.68997 + 0.778446i) q^{46} +2.99635 q^{47} +(4.27524 - 5.45182i) q^{48} +(-6.08137 + 3.46654i) q^{49} +(-0.401968 + 4.35962i) q^{50} +(0.531267 - 1.73430i) q^{51} +(4.74692 + 4.05939i) q^{52} +(3.05041 + 1.76115i) q^{53} +(7.33366 - 0.466275i) q^{54} +7.35772 q^{55} +(7.48226 + 0.125589i) q^{56} +(-6.77083 + 6.30697i) q^{57} +(4.46069 + 9.68395i) q^{58} -5.64936i q^{59} +(0.202908 + 4.77591i) q^{60} -7.47032i q^{61} +(9.01856 + 6.37792i) q^{62} +(5.18420 + 6.01033i) q^{63} +(-6.81327 - 4.19278i) q^{64} -4.30949 q^{65} +(-12.9428 + 1.75010i) q^{66} +2.47483i q^{67} +(-2.05914 - 0.382972i) q^{68} +(-0.667452 + 2.17887i) q^{69} +(-3.97982 + 3.28937i) q^{70} -5.37533 q^{71} +(-1.49292 - 8.35291i) q^{72} +(5.31294 - 9.20228i) q^{73} +(12.3207 + 1.13600i) q^{74} +(3.65477 + 3.92357i) q^{75} +(8.12036 + 6.94423i) q^{76} +(-9.94765 - 10.0026i) q^{77} +(7.58071 - 1.02505i) q^{78} -12.7046 q^{79} +(5.45284 - 0.856654i) q^{80} +(5.55647 - 7.07995i) q^{81} +(-0.502614 + 5.45120i) q^{82} +(7.37390 + 4.25733i) q^{83} +(6.21838 - 6.73288i) q^{84} +(1.25149 - 0.722549i) q^{85} +(4.40335 + 9.55947i) q^{86} +(12.4855 + 3.82467i) q^{87} +(3.69853 + 14.6205i) q^{88} +(-4.71725 - 8.17052i) q^{89} +(4.52850 + 3.71058i) q^{90} +(5.82643 + 5.85862i) q^{91} +(2.58698 + 0.481142i) q^{92} +(13.1834 - 3.03602i) q^{93} +(-3.45974 - 2.44672i) q^{94} -7.37207 q^{95} +(-9.38819 + 2.80392i) q^{96} +(6.76934 - 11.7248i) q^{97} +(9.85252 + 0.963208i) q^{98} +(-8.95928 + 13.2514i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

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