LMFDB - Embedded newform 585.2.ca.a.202.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [585,2,Mod(58,585)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(585, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9, 5]))

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

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

chi := DirichletCharacter("585.58");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 585 = 3^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	585.ca (of order $12$, degree $4$, 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:	$4.67124851824$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$80$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			202.7
Character	$\chi$	$=$	585.202
Dual form			585.2.ca.a.223.74

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-2.49737i q^{2} +(0.763119 - 1.55488i) q^{3} -4.23687 q^{4} +(-0.290573 + 2.21711i) q^{5} +(-3.88311 - 1.90579i) q^{6} +(-1.93102 + 3.34462i) q^{7} +5.58630i q^{8} +(-1.83530 - 2.37312i) q^{9} +O(q^{10})$	\(q-2.49737i q^{2} +(0.763119 - 1.55488i) q^{3} -4.23687 q^{4} +(-0.290573 + 2.21711i) q^{5} +(-3.88311 - 1.90579i) q^{6} +(-1.93102 + 3.34462i) q^{7} +5.58630i q^{8} +(-1.83530 - 2.37312i) q^{9} +(5.53694 + 0.725669i) q^{10} +(-2.38259 + 2.38259i) q^{11} +(-3.23324 + 6.58782i) q^{12} +(0.312122 + 3.59202i) q^{13} +(8.35277 + 4.82247i) q^{14} +(3.22559 + 2.14372i) q^{15} +5.47733 q^{16} +(-5.97992 - 1.60231i) q^{17} +(-5.92655 + 4.58343i) q^{18} +(2.41508 + 0.647118i) q^{19} +(1.23112 - 9.39360i) q^{20} +(3.72689 + 5.55484i) q^{21} +(5.95023 + 5.95023i) q^{22} +(2.19824 - 8.20396i) q^{23} +(8.68602 + 4.26301i) q^{24} +(-4.83113 - 1.28846i) q^{25} +(8.97060 - 0.779486i) q^{26} +(-5.09046 + 1.04270i) q^{27} +(8.18147 - 14.1707i) q^{28} +5.14887i q^{29} +(5.35367 - 8.05551i) q^{30} +(-2.98889 + 0.800870i) q^{31} -2.50634i q^{32} +(1.88644 + 5.52285i) q^{33} +(-4.00158 + 14.9341i) q^{34} +(-6.85429 - 5.25313i) q^{35} +(7.77593 + 10.0546i) q^{36} +(-1.00233 + 1.73608i) q^{37} +(1.61610 - 6.03135i) q^{38} +(5.82334 + 2.25582i) q^{39} +(-12.3854 - 1.62323i) q^{40} +(-0.393790 + 1.46964i) q^{41} +(13.8725 - 9.30742i) q^{42} +(-5.73374 + 1.53635i) q^{43} +(10.0947 - 10.0947i) q^{44} +(5.79474 - 3.37949i) q^{45} +(-20.4883 - 5.48983i) q^{46} +(-1.26403 - 2.18936i) q^{47} +(4.17986 - 8.51659i) q^{48} +(-3.95766 - 6.85487i) q^{49} +(-3.21777 + 12.0651i) q^{50} +(-7.05480 + 8.07530i) q^{51} +(-1.32242 - 15.2189i) q^{52} +(7.17099 - 7.17099i) q^{53} +(2.60401 + 12.7128i) q^{54} +(-4.59015 - 5.97478i) q^{55} +(-18.6841 - 10.7872i) q^{56} +(2.84918 - 3.26133i) q^{57} +12.8586 q^{58} +(-0.149416 - 0.149416i) q^{59} +(-13.6664 - 9.08268i) q^{60} +(-1.97077 + 3.41347i) q^{61} +(2.00007 + 7.46437i) q^{62} +(11.4812 - 1.55585i) q^{63} +4.69540 q^{64} +(-8.05458 - 0.351733i) q^{65} +(13.7926 - 4.71115i) q^{66} +(-11.4896 + 6.63353i) q^{67} +(25.3362 + 6.78880i) q^{68} +(-11.0786 - 9.67860i) q^{69} +(-13.1190 + 17.1177i) q^{70} +(1.94746 - 7.26802i) q^{71} +(13.2569 - 10.2525i) q^{72} -4.94114i q^{73} +(4.33564 + 2.50318i) q^{74} +(-5.69013 + 6.52858i) q^{75} +(-10.2324 - 2.74176i) q^{76} +(-3.36804 - 12.5697i) q^{77} +(5.63363 - 14.5430i) q^{78} +(2.39745 - 1.38417i) q^{79} +(-1.59156 + 12.1438i) q^{80} +(-2.26335 + 8.71075i) q^{81} +(3.67025 + 0.983440i) q^{82} +(4.09172 + 7.08706i) q^{83} +(-15.7903 - 23.5352i) q^{84} +(5.29011 - 12.7925i) q^{85} +(3.83684 + 14.3193i) q^{86} +(8.00587 + 3.92920i) q^{87} +(-13.3099 - 13.3099i) q^{88} +(1.31975 - 0.353627i) q^{89} +(-8.43986 - 14.4716i) q^{90} +(-12.6166 - 5.89232i) q^{91} +(-9.31367 + 34.7591i) q^{92} +(-1.03562 + 5.25852i) q^{93} +(-5.46766 + 3.15675i) q^{94} +(-2.13649 + 5.16645i) q^{95} +(-3.89706 - 1.91264i) q^{96} +(3.91425 + 2.25989i) q^{97} +(-17.1192 + 9.88376i) q^{98} +(10.0269 + 1.28140i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 2 q^{3} - 304 q^{4} - 2 q^{5} - 8 q^{6} + 2 q^{7} + 12 q^{9}+O(q^{10}) $ 320 * q - 2 * q^3 - 304 * q^4 - 2 * q^5 - 8 * q^6 + 2 * q^7 + 12 * q^9	$ 320 q - 2 q^{3} - 304 q^{4} - 2 q^{5} - 8 q^{6} + 2 q^{7} + 12 q^{9} - 16 q^{10} - 12 q^{11} - 14 q^{12} - 2 q^{13} + 48 q^{14} - 6 q^{15} + 264 q^{16} - 12 q^{17} + 4 q^{18} - 30 q^{20} - 16 q^{21} - 4 q^{22} + 2 q^{23} + 56 q^{24} - 20 q^{27} - 24 q^{28} - 2 q^{30} - 4 q^{31} - 6 q^{33} + 8 q^{34} - 46 q^{35} - 60 q^{36} - 4 q^{37} - 40 q^{38} - 4 q^{39} + 28 q^{40} + 4 q^{41} + 22 q^{42} - 6 q^{43} + 8 q^{44} + 4 q^{45} - 16 q^{46} - 14 q^{47} + 2 q^{48} - 112 q^{49} + 56 q^{50} - 30 q^{52} - 16 q^{53} - 4 q^{55} - 108 q^{56} - 72 q^{57} + 28 q^{58} - 16 q^{59} + 10 q^{60} + 4 q^{61} - 28 q^{62} - 18 q^{63} - 192 q^{64} + 58 q^{65} - 6 q^{67} + 62 q^{68} + 24 q^{69} + 10 q^{70} - 2 q^{72} - 34 q^{75} - 20 q^{76} - 44 q^{77} - 42 q^{78} + 4 q^{80} + 8 q^{81} + 20 q^{82} + 8 q^{83} + 124 q^{84} - 16 q^{85} + 68 q^{86} + 38 q^{87} - 8 q^{88} + 64 q^{90} - 16 q^{91} - 32 q^{92} - 70 q^{93} + 48 q^{94} - 64 q^{96} - 6 q^{97} - 282 q^{98} - 20 q^{99}+O(q^{100}) $ 320 * q - 2 * q^3 - 304 * q^4 - 2 * q^5 - 8 * q^6 + 2 * q^7 + 12 * q^9 - 16 * q^10 - 12 * q^11 - 14 * q^12 - 2 * q^13 + 48 * q^14 - 6 * q^15 + 264 * q^16 - 12 * q^17 + 4 * q^18 - 30 * q^20 - 16 * q^21 - 4 * q^22 + 2 * q^23 + 56 * q^24 - 20 * q^27 - 24 * q^28 - 2 * q^30 - 4 * q^31 - 6 * q^33 + 8 * q^34 - 46 * q^35 - 60 * q^36 - 4 * q^37 - 40 * q^38 - 4 * q^39 + 28 * q^40 + 4 * q^41 + 22 * q^42 - 6 * q^43 + 8 * q^44 + 4 * q^45 - 16 * q^46 - 14 * q^47 + 2 * q^48 - 112 * q^49 + 56 * q^50 - 30 * q^52 - 16 * q^53 - 4 * q^55 - 108 * q^56 - 72 * q^57 + 28 * q^58 - 16 * q^59 + 10 * q^60 + 4 * q^61 - 28 * q^62 - 18 * q^63 - 192 * q^64 + 58 * q^65 - 6 * q^67 + 62 * q^68 + 24 * q^69 + 10 * q^70 - 2 * q^72 - 34 * q^75 - 20 * q^76 - 44 * q^77 - 42 * q^78 + 4 * q^80 + 8 * q^81 + 20 * q^82 + 8 * q^83 + 124 * q^84 - 16 * q^85 + 68 * q^86 + 38 * q^87 - 8 * q^88 + 64 * q^90 - 16 * q^91 - 32 * q^92 - 70 * q^93 + 48 * q^94 - 64 * q^96 - 6 * q^97 - 282 * q^98 - 20 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/585\mathbb{Z}\right)^\times$.

$n$	$326$	$352$	$496$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{11}{12}\right)$

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 $

$2$		−	2.49737i		−	1.76591i	−0.469458	−	0.882955i	$-0.655551\pi$
$2$		−	2.49737i		−	1.76591i	0.469458	−	0.882955i	$-0.344449\pi$
$3$	0.763119	−	1.55488i	0.440587	−	0.897710i
$3$	0.763119	−	1.55488i	0.440587	−	0.897710i
$4$	−4.23687			−2.11844
$5$	−0.290573	+	2.21711i	−0.129948	+	0.991521i
$5$	−0.290573	+	2.21711i	−0.129948	+	0.991521i
$6$	−3.88311	−	1.90579i	−1.58527	−	0.778036i
$7$	−1.93102	+	3.34462i	−0.729856	+	1.26415i	0.227087	+	0.973874i	$0.427080\pi$
$7$	−1.93102	+	3.34462i	−0.729856	+	1.26415i	−0.956944	+	0.290274i	$0.906254\pi$
$8$			5.58630i			1.97506i
$9$	−1.83530	−	2.37312i	−0.611766	−	0.791038i
$10$	5.53694	+	0.725669i	1.75094	+	0.229477i
$11$	−2.38259	+	2.38259i	−0.718379	+	0.718379i	−0.968273	−	0.249894i	$-0.919604\pi$
$11$	−2.38259	+	2.38259i	−0.718379	+	0.718379i	0.249894	+	0.968273i	$0.419604\pi$
$12$	−3.23324	+	6.58782i	−0.933355	+	1.90174i
$13$	0.312122	+	3.59202i	0.0865672	+	0.996246i
$13$	0.312122	+	3.59202i	0.0865672	+	0.996246i
$14$	8.35277	+	4.82247i	2.23237	+	1.28886i
$15$	3.22559	+	2.14372i	0.832845	+	0.553507i
$16$	5.47733			1.36933
$17$	−5.97992	−	1.60231i	−1.45034	−	0.388618i	−0.554201	−	0.832383i	$-0.686976\pi$
$17$	−5.97992	−	1.60231i	−1.45034	−	0.388618i	−0.896143	+	0.443765i	$0.853643\pi$
$18$	−5.92655	+	4.58343i	−1.39690	+	1.08032i
$19$	2.41508	+	0.647118i	0.554057	+	0.148459i	0.524975	−	0.851118i	$-0.324075\pi$
$19$	2.41508	+	0.647118i	0.554057	+	0.148459i	0.0290823	+	0.999577i	$0.490741\pi$
$20$	1.23112	−	9.39360i	0.275287	−	2.10047i
$21$	3.72689	+	5.55484i	0.813273	+	1.21217i
$22$	5.95023	+	5.95023i	1.26859	+	1.26859i
$23$	2.19824	−	8.20396i	0.458365	−	1.71064i	−0.219635	−	0.975582i	$-0.570487\pi$
$23$	2.19824	−	8.20396i	0.458365	−	1.71064i	0.678001	−	0.735061i	$-0.262847\pi$
$24$	8.68602	+	4.26301i	1.77303	+	0.870183i
$25$	−4.83113	−	1.28846i	−0.966227	−	0.257693i
$26$	8.97060	−	0.779486i	1.75928	−	0.152870i
$27$	−5.09046	+	1.04270i	−0.979659	+	0.200668i
$28$	8.18147	−	14.1707i	1.54615	−	2.67802i
$29$			5.14887i			0.956121i	0.878327	+	0.478060i	$0.158660\pi$
$29$			5.14887i			0.956121i	−0.878327	+	0.478060i	$0.841340\pi$
$30$	5.35367	−	8.05551i	0.977443	−	1.47073i
$31$	−2.98889	+	0.800870i	−0.536820	+	0.143841i	−0.517036	−	0.855964i	$-0.672965\pi$
$31$	−2.98889	+	0.800870i	−0.536820	+	0.143841i	−0.0197843	+	0.999804i	$0.506298\pi$
$32$		−	2.50634i		−	0.443063i
$33$	1.88644	+	5.52285i	0.328388	+	0.961404i
$34$	−4.00158	+	14.9341i	−0.686265	+	2.56118i
$35$	−6.85429	−	5.25313i	−1.15859	−	0.887941i
$36$	7.77593	+	10.0546i	1.29599	+	1.67576i
$37$	−1.00233	+	1.73608i	−0.164781	+	0.285410i	−0.936578	−	0.350460i	$-0.886025\pi$
$37$	−1.00233	+	1.73608i	−0.164781	+	0.285410i	0.771796	+	0.635870i	$0.219359\pi$
$38$	1.61610	−	6.03135i	0.262165	−	0.978414i
$39$	5.82334	+	2.25582i	0.932480	+	0.361221i
$40$	−12.3854	−	1.62323i	−1.95831	−	0.256655i
$41$	−0.393790	+	1.46964i	−0.0614996	+	0.229520i	−0.989834	−	0.142226i	$-0.954574\pi$
$41$	−0.393790	+	1.46964i	−0.0614996	+	0.229520i	0.928335	+	0.371746i	$0.121241\pi$
$42$	13.8725	−	9.30742i	2.14058	−	1.43617i
$43$	−5.73374	+	1.53635i	−0.874388	+	0.234291i	−0.667984	−	0.744175i	$-0.732843\pi$
$43$	−5.73374	+	1.53635i	−0.874388	+	0.234291i	−0.206404	+	0.978467i	$0.566176\pi$
$44$	10.0947	−	10.0947i	1.52184	−	1.52184i
$45$	5.79474	−	3.37949i	0.863829	−	0.503785i
$46$	−20.4883	−	5.48983i	−3.02084	−	0.809432i
$47$	−1.26403	−	2.18936i	−0.184378	−	0.319351i	0.758989	−	0.651103i	$-0.225694\pi$
$47$	−1.26403	−	2.18936i	−0.184378	−	0.319351i	−0.943367	+	0.331752i	$0.892360\pi$
$48$	4.17986	−	8.51659i	0.603310	−	1.22926i
$49$	−3.95766	−	6.85487i	−0.565380	−	0.979267i
$50$	−3.21777	+	12.0651i	−0.455062	+	1.70627i
$51$	−7.05480	+	8.07530i	−0.987869	+	1.13077i
$52$	−1.32242	−	15.2189i	−0.183387	−	2.11048i
$53$	7.17099	−	7.17099i	0.985011	−	0.985011i	−0.0148783	−	0.999889i	$-0.504736\pi$
$53$	7.17099	−	7.17099i	0.985011	−	0.985011i	0.999889	+	0.0148783i	$0.00473607\pi$
$54$	2.60401	+	12.7128i	0.354361	+	1.72999i
$55$	−4.59015	−	5.97478i	−0.618936	−	0.805640i
$56$	−18.6841	−	10.7872i	−2.49676	−	1.44151i
$57$	2.84918	−	3.26133i	0.377383	−	0.431973i
$58$	12.8586			1.68842
$59$	−0.149416	−	0.149416i	−0.0194523	−	0.0194523i	0.697314	−	0.716766i	$-0.254378\pi$
$59$	−0.149416	−	0.149416i	−0.0194523	−	0.0194523i	−0.716766	+	0.697314i	$0.754378\pi$
$60$	−13.6664	−	9.08268i	−1.76433	−	1.17257i
$61$	−1.97077	+	3.41347i	−0.252331	+	0.437050i	−0.964167	−	0.265296i	$-0.914530\pi$
$61$	−1.97077	+	3.41347i	−0.252331	+	0.437050i	0.711836	+	0.702345i	$0.247864\pi$
$62$	2.00007	+	7.46437i	0.254009	+	0.947976i
$63$	11.4812	−	1.55585i	1.44649	−	0.196019i
$64$	4.69540			0.586925
$65$	−8.05458	−	0.351733i	−0.999048	−	0.0436272i
$66$	13.7926	−	4.71115i	1.69775	−	0.579903i
$67$	−11.4896	+	6.63353i	−1.40368	+	0.810415i	−0.994768	−	0.102159i	$-0.967425\pi$
$67$	−11.4896	+	6.63353i	−1.40368	+	0.810415i	−0.408912	+	0.912574i	$0.634092\pi$
$68$	25.3362	+	6.78880i	3.07246	+	0.823263i
$69$	−11.0786	−	9.67860i	−1.33371	−	1.16517i
$70$	−13.1190	+	17.1177i	−1.56802	+	2.04596i
$71$	1.94746	−	7.26802i	0.231121	−	0.862556i	−0.748738	−	0.662866i	$-0.769340\pi$
$71$	1.94746	−	7.26802i	0.231121	−	0.862556i	0.979859	−	0.199690i	$-0.0639934\pi$
$72$	13.2569	−	10.2525i	1.56234	−	1.20827i
$73$		−	4.94114i		−	0.578317i	−0.957281	−	0.289159i	$-0.906624\pi$
$73$		−	4.94114i		−	0.578317i	0.957281	−	0.289159i	$-0.0933755\pi$
$74$	4.33564	+	2.50318i	0.504008	+	0.290989i
$75$	−5.69013	+	6.52858i	−0.657040	+	0.753856i
$76$	−10.2324	−	2.74176i	−1.17373	−	0.314501i
$77$	−3.36804	−	12.5697i	−0.383824	−	1.43245i
$78$	5.63363	−	14.5430i	0.637883	−	1.64668i
$79$	2.39745	−	1.38417i	0.269735	−	0.155731i	−0.359032	−	0.933325i	$-0.616893\pi$
$79$	2.39745	−	1.38417i	0.269735	−	0.155731i	0.628767	+	0.777594i	$0.283560\pi$
$80$	−1.59156	+	12.1438i	−0.177942	+	1.35772i
$81$	−2.26335	+	8.71075i	−0.251484	+	0.967862i
$82$	3.67025	+	0.983440i	0.405311	+	0.108603i
$83$	4.09172	+	7.08706i	0.449124	+	0.777906i	0.998329	−	0.0577815i	$-0.0184027\pi$
$83$	4.09172	+	7.08706i	0.449124	+	0.777906i	−0.549205	+	0.835688i	$0.685069\pi$
$84$	−15.7903	−	23.5352i	−1.72287	−	2.56790i
$85$	5.29011	−	12.7925i	0.573793	−	1.38755i
$86$	3.83684	+	14.3193i	0.413738	+	1.54409i
$87$	8.00587	+	3.92920i	0.858319	+	0.421254i
$88$	−13.3099	−	13.3099i	−1.41884	−	1.41884i
$89$	1.31975	−	0.353627i	0.139893	−	0.0374843i	−0.188193	−	0.982132i	$-0.560263\pi$
$89$	1.31975	−	0.353627i	0.139893	−	0.0374843i	0.328086	+	0.944648i	$0.393596\pi$
$90$	−8.43986	−	14.4716i	−0.889639	−	1.52544i
$91$	−12.6166	−	5.89232i	−1.32258	−	0.617683i
$92$	−9.31367	+	34.7591i	−0.971018	+	3.62389i
$93$	−1.03562	+	5.25852i	−0.107389	+	0.545283i
$94$	−5.46766	+	3.15675i	−0.563946	+	0.325594i
$95$	−2.13649	+	5.16645i	−0.219199	+	0.530067i
$96$	−3.89706	−	1.91264i	−0.397742	−	0.195208i
$97$	3.91425	+	2.25989i	0.397432	+	0.229457i	0.685375	−	0.728190i	$-0.259638\pi$
$97$	3.91425	+	2.25989i	0.397432	+	0.229457i	−0.287943	+	0.957647i	$0.592972\pi$
$98$	−17.1192	+	9.88376i	−1.72930	+	0.998410i
$99$	10.0269	+	1.28140i	1.00775	+	0.128785i
$100$	20.4689	+	5.45905i	2.04689	+	0.545905i
$101$			12.2698i			1.22089i	0.792060	+	0.610444i	$0.209009\pi$
$101$			12.2698i			1.22089i	−0.792060	+	0.610444i	$0.790991\pi$
$102$	20.1670	+	17.6185i	1.99683	+	1.74449i
$103$	2.73544	−	0.732960i	0.269531	−	0.0722207i	−0.121522	−	0.992589i	$-0.538777\pi$
$103$	2.73544	−	0.732960i	0.269531	−	0.0722207i	0.391053	+	0.920368i	$0.372111\pi$
$104$	−20.0661	+	1.74361i	−1.96764	+	0.170975i
$105$	−13.3986	+	6.64882i	−1.30757	+	0.648859i
$106$	−17.9086	−	17.9086i	−1.73944	−	1.73944i
$107$	17.9928	−	4.82115i	1.73943	−	0.466078i	0.757109	−	0.653289i	$-0.226611\pi$
$107$	17.9928	−	4.82115i	1.73943	−	0.466078i	0.982320	+	0.187211i	$0.0599447\pi$
$108$	21.5676	−	4.41779i	2.07535	−	0.425102i
$109$	−7.97367	+	7.97367i	−0.763739	+	0.763739i	−0.976996	−	0.213257i	$-0.931593\pi$
$109$	−7.97367	+	7.97367i	−0.763739	+	0.763739i	0.213257	+	0.976996i	$0.431593\pi$
$110$	−14.9213	+	11.4633i	−1.42269	+	1.09298i
$111$	1.93450	+	2.88333i	0.183615	+	0.273674i
$112$	−10.5768	+	18.3196i	−0.999416	+	1.73104i
$113$	5.09763	−	5.09763i	0.479545	−	0.479545i	−0.425441	−	0.904986i	$-0.639881\pi$
$113$	5.09763	−	5.09763i	0.479545	−	0.479545i	0.904986	+	0.425441i	$0.139881\pi$
$114$	−8.14475	−	7.11547i	−0.762826	−	0.666425i
$115$	17.5503	+	7.25759i	1.63657	+	0.676774i
$116$		−	21.8151i		−	2.02548i
$117$	7.95143	−	7.33313i	0.735110	−	0.677948i
$118$	−0.373146	+	0.373146i	−0.0343509	+	0.0343509i
$119$	16.9065	−	16.9065i	1.54981	−	1.54981i
$120$	−11.9755	+	18.0191i	−1.09321	+	1.64491i
$121$		−	0.353508i		−	0.0321371i
$122$	8.52470	+	4.92174i	0.771790	+	0.445593i
$123$	1.98461	+	1.73381i	0.178946	+	0.156332i
$124$	12.6635	−	3.39318i	1.13722	−	0.304717i
$125$	4.26046	−	10.3368i	0.381067	−	0.924547i
$126$	−3.88554	−	28.6728i	−0.346152	−	2.55437i
$127$	0.964275	+	3.59872i	0.0855656	+	0.319335i	0.995421	−	0.0955911i	$-0.0304741\pi$
$127$	0.964275	+	3.59872i	0.0855656	+	0.319335i	−0.909855	+	0.414926i	$0.863807\pi$
$128$		−	16.7388i		−	1.47952i
$129$	−1.98669	+	10.0877i	−0.174918	+	0.888172i
$130$	−0.878409	+	20.1153i	−0.0770416	+	1.76423i
$131$	−4.60809	+	7.98144i	−0.402611	+	0.697342i	−0.994040	−	0.109015i	$-0.965230\pi$
$131$	−4.60809	+	7.98144i	−0.402611	+	0.697342i	0.591430	+	0.806357i	$0.298564\pi$
$132$	−7.99262	−	23.3996i	−0.695668	−	2.03667i
$133$	−6.82792	+	6.82792i	−0.592056	+	0.592056i
$134$	16.5664	+	28.6939i	1.43112	+	2.47877i
$135$	−0.832629	−	11.5891i	−0.0716613	−	0.997429i
$136$	8.95101	−	33.4056i	0.767543	−	2.86451i
$137$	1.92425	−	3.33290i	0.164400	−	0.284749i	−0.772042	−	0.635571i	$-0.780765\pi$
$137$	1.92425	−	3.33290i	0.164400	−	0.284749i	0.936442	+	0.350823i	$0.114098\pi$
$138$	−24.1711	+	27.6675i	−2.05758	+	2.35521i
$139$			15.4777i			1.31280i	0.754411	+	0.656402i	$0.227922\pi$
$139$			15.4777i			1.31280i	−0.754411	+	0.656402i	$0.772078\pi$
$140$	29.0407	+	22.2568i	2.45439	+	1.88105i
$141$	−4.36880	+	0.294669i	−0.367919	+	0.0248156i
$142$	−18.1510	−	4.86354i	−1.52320	−	0.408139i
$143$	−9.30198	−	7.81465i	−0.777870	−	0.653494i
$144$	−10.0525	−	12.9983i	−0.837712	−	1.08320i
$145$	−11.4156	−	1.49612i	−0.948014	−	0.124246i
$146$	−12.3399			−1.02126
$147$	−13.6787	+	0.922605i	−1.12820	+	0.0760952i
$148$	4.24673	−	7.35555i	0.349079	−	0.604622i
$149$	−11.5839	+	11.5839i	−0.948989	+	0.948989i	−0.998761	−	0.0497719i	$-0.984151\pi$
$149$	−11.5839	+	11.5839i	−0.948989	+	0.948989i	0.0497719	+	0.998761i	$0.484151\pi$
$150$	16.3043	+	14.2104i	1.33124	+	1.16027i
$151$	11.4499	+	3.06799i	0.931779	+	0.249670i	0.692613	−	0.721309i	$-0.256459\pi$
$151$	11.4499	+	3.06799i	0.931779	+	0.249670i	0.239166	+	0.970979i	$0.423126\pi$
$152$	−3.61500	+	13.4914i	−0.293215	+	1.09429i
$153$	7.17247	+	17.1318i	0.579860	+	1.38502i
$154$	−31.3912	+	8.41126i	−2.52958	+	0.677799i
$155$	−0.907126	−	6.85940i	−0.0728621	−	0.550960i
$156$	−24.6727	−	9.55763i	−1.97540	−	0.765223i
$157$	−3.18213	+	0.852648i	−0.253961	+	0.0680487i	−0.383553	−	0.923519i	$-0.625300\pi$
$157$	−3.18213	+	0.852648i	−0.253961	+	0.0680487i	0.129592	+	0.991567i	$0.458633\pi$
$158$	−3.45679	−	5.98734i	−0.275008	−	0.476327i
$159$	−5.67771	−	16.6223i	−0.450271	−	1.31824i
$160$	5.55683	+	0.728275i	0.439306	+	0.0575752i
$161$	23.1943	+	23.1943i	1.82797	+	1.82797i
$162$	21.7540	+	5.65244i	1.70916	+	0.444097i
$163$	5.18709	−	2.99477i	0.406285	−	0.234568i	−0.282908	−	0.959147i	$-0.591299\pi$
$163$	5.18709	−	2.99477i	0.406285	−	0.234568i	0.689192	+	0.724579i	$0.257966\pi$
$164$	1.66844	−	6.22669i	0.130283	−	0.486223i
$165$	−12.7929	+	2.57766i	−0.995926	+	0.200671i
$166$	17.6990	−	10.2185i	1.37371	−	0.793113i
$167$	−5.76783	−	9.99018i	−0.446328	−	0.773063i	0.551815	−	0.833966i	$-0.313935\pi$
$167$	−5.76783	−	9.99018i	−0.446328	−	0.773063i	−0.998144	+	0.0609029i	$0.980602\pi$
$168$	−31.0310	+	20.8195i	−2.39410	+	1.60626i
$169$	−12.8052	+	2.24230i	−0.985012	+	0.172484i
$170$	−31.9477	−	13.2114i	−2.45028	−	1.01327i
$171$	−2.89670	−	6.91891i	−0.221517	−	0.529103i
$172$	24.2931	−	6.50933i	1.85233	−	0.496331i
$173$	−20.1808	+	5.40743i	−1.53432	+	0.411119i	−0.924425	−	0.381365i	$-0.875454\pi$
$173$	−20.1808	+	5.40743i	−1.53432	+	0.411119i	−0.609893	+	0.792484i	$0.708787\pi$
$174$	9.81267	−	19.9936i	0.743897	−	1.51571i
$175$	13.6384	−	13.6703i	1.03097	−	1.03338i
$176$	−13.0503	+	13.0503i	−0.983700	+	0.983700i
$177$	−0.346345	+	0.118301i	−0.0260329	+	0.00889207i
$178$	−0.883138	−	3.29591i	−0.0661940	−	0.247039i
$179$	−8.54054	+	14.7926i	−0.638350	+	1.10565i	0.347445	+	0.937700i	$0.387049\pi$
$179$	−8.54054	+	14.7926i	−0.638350	+	1.10565i	−0.985795	+	0.167954i	$0.946284\pi$
$180$	−24.5516	+	14.3185i	−1.82997	+	1.06724i
$181$			4.72115i			0.350920i	0.984487	+	0.175460i	$0.0561413\pi$
$181$			4.72115i			0.350920i	−0.984487	+	0.175460i	$0.943859\pi$
$182$	−14.7153	+	31.5085i	−1.09077	+	2.33556i
$183$	3.80360	+	5.66918i	0.281170	+	0.419078i
$184$	45.8298	+	12.2800i	3.37862	+	0.905297i
$185$	−3.55783	−	2.72672i	−0.261577	−	0.200473i
$186$	13.1325	+	2.58633i	0.962920	+	0.189639i
$187$	18.0654	−	10.4301i	1.32107	−	0.762721i
$188$	5.35553	+	9.27605i	0.390592	+	0.676525i
$189$	6.34233	−	19.0391i	0.461337	−	1.38489i
$190$	12.9026	+	5.33560i	0.936050	+	0.387085i
$191$	11.6272	−	20.1390i	0.841317	−	1.45720i	−0.0474645	−	0.998873i	$-0.515114\pi$
$191$	11.6272	−	20.1390i	0.841317	−	1.45720i	0.888782	−	0.458331i	$-0.151553\pi$
$192$	3.58315	−	7.30078i	0.258591	−	0.526888i
$193$	−4.56576	+	2.63604i	−0.328651	+	0.189747i	−0.655242	−	0.755419i	$-0.727433\pi$
$193$	−4.56576	+	2.63604i	−0.328651	+	0.189747i	0.326591	+	0.945166i	$0.394100\pi$
$194$	5.64379	−	9.77534i	0.405201	−	0.701828i
$195$	−6.69351	+	12.2555i	−0.479332	+	0.877634i
$196$	16.7681	+	29.0432i	1.19772	+	2.07451i
$197$	−8.24074	−	4.75780i	−0.587129	−	0.338979i	0.176833	−	0.984241i	$-0.443415\pi$
$197$	−8.24074	−	4.75780i	−0.587129	−	0.338979i	−0.763961	+	0.645262i	$0.776748\pi$
$198$	3.20013	−	25.0410i	0.227423	−	1.77959i
$199$	10.3324	+	17.8962i	0.732442	+	1.26863i	0.955836	+	0.293899i	$0.0949530\pi$
$199$	10.3324	+	17.8962i	0.732442	+	1.26863i	−0.223394	+	0.974728i	$0.571714\pi$
$200$	7.19774	−	26.9882i	0.508957	−	1.90835i
$201$	1.54640	+	22.9271i	0.109075	+	1.61716i
$202$	30.6422			2.15598
$203$	−17.2210	−	9.94256i	−1.20868	−	0.697831i
$204$	29.8903	−	34.2140i	2.09274	−	2.39546i
$205$	−3.14393	−	1.30011i	−0.219582	−	0.0908038i
$206$	−1.83047	−	6.83143i	−0.127535	−	0.475968i
$207$	−23.5034	+	9.84003i	−1.63360	+	0.683929i
$208$	1.70960	+	19.6747i	0.118539	+	1.36419i
$209$	−7.29597	+	4.21233i	−0.504673	+	0.291373i
$210$	16.6046	+	33.4613i	1.14583	+	2.30905i
$211$	−7.90335	−	13.6890i	−0.544089	−	0.942390i	−0.998664	−	0.0516815i	$-0.983542\pi$
$211$	−7.90335	−	13.6890i	−0.544089	−	0.942390i	0.454574	−	0.890709i	$-0.349791\pi$
$212$	−30.3826	+	30.3826i	−2.08668	+	2.08668i
$213$	−9.81476	−	8.57443i	−0.672496	−	0.587510i
$214$	−12.0402	−	44.9347i	−0.823052	−	3.07167i
$215$	−1.74019	−	13.1588i	−0.118680	−	0.897419i
$216$	−5.82484	−	28.4368i	−0.396330	−	1.93488i
$217$	3.09299	−	11.5432i	0.209966	−	0.783603i
$218$	19.9132	+	19.9132i	1.34869	+	1.34869i
$219$	−7.68288	−	3.77068i	−0.519161	−	0.254799i
$220$	19.4479	+	25.3144i	1.31118	+	1.70670i
$221$	3.88907	−	21.9801i	0.261607	−	1.47854i
$222$	7.20075	−	4.83117i	0.483283	−	0.324247i
$223$	4.24251			0.284100			0.142050	−	0.989860i	$-0.454631\pi$
$223$	4.24251			0.284100			0.142050	+	0.989860i	$0.454631\pi$
$224$	8.38276	+	4.83979i	0.560097	+	0.323372i
$225$	5.80891	+	13.8296i	0.387261	+	0.921970i
$226$	−12.7307	−	12.7307i	−0.846833	−	0.846833i
$227$	0.947925	+	0.547285i	0.0629160	+	0.0363246i	0.531128	−	0.847292i	$-0.321768\pi$
$227$	0.947925	+	0.547285i	0.0629160	+	0.0363246i	−0.468212	+	0.883616i	$0.655102\pi$
$228$	−12.0716	+	13.8178i	−0.799462	+	0.915108i
$229$	−1.02954	+	0.275866i	−0.0680342	+	0.0182297i	−0.292676	−	0.956212i	$-0.594546\pi$
$229$	−1.02954	+	0.275866i	−0.0680342	+	0.0182297i	0.224641	+	0.974442i	$0.427879\pi$
$230$	18.1249	−	43.8297i	1.19512	−	2.89004i
$231$	−22.1146	−	4.35528i	−1.45503	−	0.286556i
$232$	−28.7631			−1.88839
$233$	−3.01298	−	3.01298i	−0.197387	−	0.197387i	0.601492	−	0.798879i	$-0.294573\pi$
$233$	−3.01298	−	3.01298i	−0.197387	−	0.197387i	−0.798879	+	0.601492i	$0.794573\pi$
$234$	−18.3136	−	19.8577i	−1.19719	−	1.29814i
$235$	5.22135	−	2.16632i	0.340603	−	0.141315i
$236$	0.633054	+	0.633054i	0.0412083	+	0.0412083i
$237$	−0.322676	−	4.78404i	−0.0209601	−	0.310757i
$238$	−42.2218	−	42.2218i	−2.73683	−	2.73683i
$239$	−5.30265	−	19.7898i	−0.343000	−	1.28009i	−0.894931	−	0.446204i	$-0.852776\pi$
$239$	−5.30265	−	19.7898i	−0.343000	−	1.28009i	0.551931	−	0.833890i	$-0.313891\pi$
$240$	17.6676	+	11.7419i	1.14044	+	0.757935i
$241$	1.47155	+	5.49189i	0.0947907	+	0.353764i	0.996988	−	0.0775606i	$-0.0247131\pi$
$241$	1.47155	+	5.49189i	0.0947907	+	0.353764i	−0.902197	+	0.431324i	$0.858046\pi$
$242$	−0.882841			−0.0567512
$243$	11.8170	+	10.1666i	0.758059	+	0.652186i
$244$	8.34988	−	14.4624i	0.534546	−	0.925861i
$245$	16.3480	−	6.78272i	1.04443	−	0.433332i
$246$	4.32997	−	4.95631i	0.276069	−	0.316003i
$247$	−1.57066	+	8.87698i	−0.0999386	+	0.564829i
$248$	−4.47390	−	16.6968i	−0.284093	−	1.06025i
$249$	14.1420	−	0.953856i	0.896213	−	0.0604482i
$250$	−25.8147	−	10.6400i	−1.63267	−	0.672930i
$251$	7.40423	−	4.27484i	0.467351	−	0.269825i	−0.247779	−	0.968817i	$-0.579701\pi$
$251$	7.40423	−	4.27484i	0.467351	−	0.269825i	0.715130	+	0.698991i	$0.246367\pi$
$252$	−48.6442	+	6.59195i	−3.06430	+	0.415254i
$253$	14.3092	+	24.7842i	0.899610	+	1.55817i
$254$	8.98735	−	2.40815i	0.563917	−	0.151101i
$255$	−15.8539	−	17.9877i	−0.992808	−	1.12643i
$256$	−32.4123			−2.02577
$257$	−11.7059	−	3.13658i	−0.730192	−	0.195654i	−0.125477	−	0.992097i	$-0.540046\pi$
$257$	−11.7059	−	3.13658i	−0.730192	−	0.195654i	−0.604715	+	0.796442i	$0.706713\pi$
$258$	25.1927	+	4.96150i	1.56843	+	0.308889i
$259$	−3.87102	−	6.70480i	−0.240533	−	0.416616i
$260$	34.1262	+	1.49025i	2.11642	+	0.0924213i
$261$	12.2189	−	9.44971i	0.756328	−	0.584923i
$262$	19.9326	+	11.5081i	1.23144	+	0.710974i
$263$	−3.97770	+	3.97770i	−0.245275	+	0.245275i	−0.819028	−	0.573753i	$-0.805487\pi$
$263$	−3.97770	+	3.97770i	−0.245275	+	0.245275i	0.573753	+	0.819028i	$0.305487\pi$
$264$	−30.8523	+	10.5382i	−1.89883	+	0.648584i
$265$	13.8152	+	17.9826i	0.848659	+	1.10466i
$266$	17.0519	+	17.0519i	1.04552	+	1.04552i
$267$	0.457281	−	2.32192i	0.0279852	−	0.142099i
$268$	48.6800	−	28.1054i	2.97361	−	1.71681i
$269$	−19.0756	+	11.0133i	−1.16306	+	0.671494i	−0.952036	−	0.305986i	$-0.901014\pi$
$269$	−19.0756	+	11.0133i	−1.16306	+	0.671494i	−0.211026	+	0.977480i	$0.567681\pi$
$270$	−28.9422	+	2.07938i	−1.76137	+	0.126547i
$271$	7.46141	+	27.8464i	0.453248	+	1.69155i	0.693187	+	0.720758i	$0.256206\pi$
$271$	7.46141	+	27.8464i	0.453248	+	1.69155i	−0.239939	+	0.970788i	$0.577127\pi$
$272$	−32.7540	−	8.77641i	−1.98600	−	0.532148i
$273$	−18.7898	+	15.1208i	−1.13721	+	0.915154i
$274$	−8.32349	−	4.80557i	−0.502840	−	0.290315i
$275$	14.5805	−	8.44075i	0.879238	−	0.508996i
$276$	46.9388	+	41.0070i	2.82538	+	2.46833i
$277$	−1.87045	−	6.98061i	−0.112384	−	0.419424i	0.886694	−	0.462358i	$-0.152996\pi$
$277$	−1.87045	−	6.98061i	−0.112384	−	0.419424i	−0.999078	+	0.0429334i	$0.986330\pi$
$278$	38.6537			2.31829
$279$	7.38606	+	5.62314i	0.442192	+	0.336649i
$280$	29.3456	−	38.2901i	1.75373	−	2.28827i
$281$	−9.17661	−	2.45886i	−0.547431	−	0.146684i	−0.0255051	−	0.999675i	$-0.508119\pi$
$281$	−9.17661	−	2.45886i	−0.547431	−	0.146684i	−0.521925	+	0.852991i	$0.674786\pi$
$282$	0.735898	+	10.9105i	0.0438221	+	0.649712i
$283$	3.69521	−	13.7907i	0.219657	−	0.819772i	−0.764818	−	0.644247i	$-0.777171\pi$
$283$	3.69521	−	13.7907i	0.219657	−	0.819772i	0.984475	−	0.175525i	$-0.0561623\pi$
$284$	−8.25114	+	30.7937i	−0.489615	+	1.82727i
$285$	6.40282	+	7.26460i	0.379270	+	0.430318i
$286$	−19.5161	+	23.2305i	−1.15401	+	1.37365i
$287$	−4.15499	−	4.15499i	−0.245261	−	0.245261i
$288$	−5.94784	+	4.59989i	−0.350480	+	0.271051i
$289$	18.4696	+	10.6634i	1.08645	+	0.627261i
$290$	−3.73637	+	28.5090i	−0.219407	+	1.67411i
$291$	6.50090	−	4.36162i	0.381089	−	0.255683i
$292$			20.9350i			1.22513i
$293$			18.0928i			1.05699i	0.848935	+	0.528497i	$0.177244\pi$
$293$			18.0928i			1.05699i	−0.848935	+	0.528497i	$0.822756\pi$
$294$	2.30409	+	34.1607i	0.134377	+	1.99229i
$295$	0.374687	−	0.287854i	0.0218151	−	0.0167595i
$296$	−9.69826	−	5.59930i	−0.563700	−	0.325452i
$297$	9.64417	−	14.6128i	0.559611	−	0.847922i
$298$	28.9293	+	28.9293i	1.67583	+	1.67583i
$299$	30.1549	+	5.33549i	1.74390	+	0.308559i
$300$	24.1084	−	27.6608i	1.39190	−	1.59699i
$301$	5.93345	−	22.1439i	0.341998	−	1.27635i
$302$	7.66192	−	28.5947i	0.440894	−	1.64544i
$303$	19.0780	+	9.36329i	1.09600	+	0.537907i
$304$	13.2282	+	3.54448i	0.758689	+	0.203290i
$305$	−6.99537	−	5.36126i	−0.400554	−	0.306985i
$306$	42.7844	−	17.9123i	2.44582	−	1.02398i
$307$	14.0742			0.803255			0.401627	−	0.915803i	$-0.368445\pi$
$307$	14.0742			0.803255			0.401627	+	0.915803i	$0.368445\pi$
$308$	14.2700	+	53.2562i	0.813107	+	3.03455i
$309$	0.947805	−	4.81262i	0.0539187	−	0.273780i
$310$	−17.1305	+	2.26543i	−0.972946	+	0.128668i
$311$	10.3092	+	5.95200i	0.584579	+	0.337507i	0.762951	−	0.646456i	$-0.223750\pi$
$311$	10.3092	+	5.95200i	0.584579	+	0.337507i	−0.178372	+	0.983963i	$0.557083\pi$
$312$	−12.6017	+	32.5309i	−0.713431	+	1.84170i
$313$	−28.2295	−	7.56408i	−1.59563	−	0.427547i	−0.651908	−	0.758298i	$-0.726031\pi$
$313$	−28.2295	−	7.56408i	−1.59563	−	0.427547i	−0.943718	+	0.330751i	$0.892698\pi$
$314$	2.12938	+	7.94695i	0.120168	+	0.448473i
$315$	0.113377	+	25.9071i	0.00638809	+	1.45970i
$316$	−10.1577	+	5.86455i	−0.571416	+	0.329907i
$317$	1.58694	−	0.916218i	0.0891312	−	0.0514599i	−0.454772	−	0.890608i	$-0.650279\pi$
$317$	1.58694	−	0.916218i	0.0891312	−	0.0514599i	0.543903	+	0.839148i	$0.316946\pi$
$318$	−41.5122	+	14.1793i	−2.32789	+	0.795138i
$319$	−12.2677	−	12.2677i	−0.686857	−	0.686857i
$320$	−1.36435	+	10.4102i	−0.0762698	+	0.581948i
$321$	6.23432	−	31.6557i	0.347966	−	1.76685i
$322$	57.9248	−	57.9248i	3.22802	−	3.22802i
$323$	−13.4051	−	7.73943i	−0.745879	−	0.430633i
$324$	9.58953	−	36.9063i	0.532752	−	2.05035i
$325$	3.12027	−	17.7557i	0.173082	−	0.984907i
$326$	−7.47906	−	12.9541i	−0.414227	−	0.717462i
$327$	6.31324	+	18.4830i	0.349123	+	1.02211i
$328$	−8.20987	−	2.19983i	−0.453314	−	0.121465i
$329$	9.76345			0.538277
$330$	6.43738	+	31.9486i	0.354366	+	1.75871i
$331$	10.5344	−	2.82269i	0.579024	−	0.155149i	0.0425918	−	0.999093i	$-0.486439\pi$
$331$	10.5344	−	2.82269i	0.579024	−	0.155149i	0.536432	+	0.843944i	$0.319772\pi$
$332$	−17.3361	−	30.0270i	−0.951441	−	1.64794i
$333$	5.95949	−	0.807591i	0.326578	−	0.0442557i
$334$	−24.9492	+	14.4044i	−1.36516	+	0.788175i
$335$	−11.3687	−	27.4012i	−0.621138	−	1.49709i
$336$	20.4134	+	30.4257i	1.11364	+	1.65986i
$337$	−3.08105	−	11.4986i	−0.167835	−	0.626370i	−0.997662	−	0.0683480i	$-0.978227\pi$
$337$	−3.08105	−	11.4986i	−0.167835	−	0.626370i	0.829826	−	0.558022i	$-0.188439\pi$
$338$	5.59985	+	31.9793i	0.304592	+	1.73944i
$339$	−4.03610	−	11.8163i	−0.219211	−	0.641774i
$340$	−22.4135	+	54.2003i	−1.21554	+	2.93943i
$341$	5.21316	−	9.02945i	0.282308	−	0.488972i
$342$	−17.2791	+	7.23415i	−0.934347	+	0.391178i
$343$	3.53501			0.190873
$344$	−8.58252	−	32.0304i	−0.462739	−	1.72696i
$345$	24.6776	−	21.7502i	1.32860	−	1.17099i
$346$	13.5044	+	50.3990i	0.725999	+	2.70946i
$347$	8.61369	+	8.61369i	0.462407	+	0.462407i	0.899444	−	0.437037i	$-0.143972\pi$
$347$	8.61369	+	8.61369i	0.462407	+	0.462407i	−0.437037	+	0.899444i	$0.643972\pi$
$348$	−33.9198	−	16.6475i	−1.81829	−	0.892400i
$349$	−3.34065	−	3.34065i	−0.178821	−	0.178821i	0.612021	−	0.790842i	$-0.290357\pi$
$349$	−3.34065	−	3.34065i	−0.178821	−	0.178821i	−0.790842	+	0.612021i	$0.790357\pi$
$350$	−34.1398	−	34.0602i	−1.82485	−	1.82060i
$351$	−5.33424	−	17.9596i	−0.284721	−	0.958611i
$352$	5.97159	+	5.97159i	0.318287	+	0.318287i
$353$	−6.36178			−0.338603			−0.169302	−	0.985564i	$-0.554151\pi$
$353$	−6.36178			−0.338603			−0.169302	+	0.985564i	$0.554151\pi$
$354$	0.295443	+	0.864953i	0.0157026	+	0.0459717i
$355$	15.5481	+	6.42962i	0.825208	+	0.341249i
$356$	−5.59162	+	1.49827i	−0.296355	+	0.0794082i
$357$	−13.3859	−	39.1892i	−0.708456	−	2.07411i
$358$	36.9427	+	21.3289i	1.95249	+	1.12727i
$359$	−7.98372	−	7.98372i	−0.421365	−	0.421365i	0.464309	−	0.885673i	$-0.346303\pi$
$359$	−7.98372	−	7.98372i	−0.421365	−	0.421365i	−0.885673	+	0.464309i	$0.846303\pi$
$360$	18.8789	+	32.3712i	0.995004	+	1.70611i
$361$	−11.0406	−	6.37432i	−0.581086	−	0.335490i
$362$	11.7905			0.619693
$363$	−0.549662	−	0.269768i	−0.0288498	−	0.0141592i
$364$	53.4551	+	24.9650i	2.80181	+	1.30852i
$365$	10.9551	+	1.43576i	0.573414	+	0.0751513i
$366$	14.1581	−	9.49901i	0.740054	−	0.496521i
$367$	−13.0543	−	13.0543i	−0.681428	−	0.681428i	0.278894	−	0.960322i	$-0.410032\pi$
$367$	−13.0543	−	13.0543i	−0.681428	−	0.681428i	−0.960322	+	0.278894i	$0.910032\pi$
$368$	12.0405	−	44.9358i	0.627655	−	2.34244i
$369$	4.21036	−	1.76273i	0.219182	−	0.0917639i
$370$	−6.80964	+	8.88522i	−0.354017	+	0.461921i
$371$	10.1369	+	37.8316i	0.526283	+	1.96412i
$372$	4.38779	−	22.2797i	0.227496	−	1.15515i
$373$	2.61159	−	2.61159i	0.135223	−	0.135223i	−0.636255	−	0.771478i	$-0.719518\pi$
$373$	2.61159	−	2.61159i	0.135223	−	0.135223i	0.771478	+	0.636255i	$0.219518\pi$
$374$	−26.0477	−	45.1160i	−1.34690	−	2.33289i
$375$	−12.8212	−	14.5127i	−0.662082	−	0.749431i
$376$	12.2304	−	7.06125i	0.630737	−	0.364156i
$377$	−18.4948	+	1.60708i	−0.952532	+	0.0827687i
$378$	−47.5478	−	15.8392i	−2.44560	−	0.814679i
$379$	−1.01939	−	3.80442i	−0.0523626	−	0.195420i	0.934790	−	0.355201i	$-0.115588\pi$
$379$	−1.01939	−	3.80442i	−0.0523626	−	0.195420i	−0.987152	+	0.159781i	$0.948921\pi$
$380$	9.05202	−	21.8896i	0.464359	−	1.12291i
$381$	6.33144	+	1.24692i	0.324369	+	0.0638818i
$382$	−50.2945	−	29.0375i	−2.57329	−	1.48569i
$383$	19.8431			1.01394			0.506968	−	0.861965i	$-0.330766\pi$
$383$	19.8431			1.01394			0.506968	+	0.861965i	$0.330766\pi$
$384$	−26.0269	−	12.7737i	−1.32818	−	0.651856i
$385$	28.8471	−	3.81490i	1.47018	−	0.194425i
$386$	6.58318	+	11.4024i	0.335075	+	0.580367i
$387$	14.1691	+	10.7872i	0.720255	+	0.548343i
$388$	−16.5842	−	9.57487i	−0.841934	−	0.486091i
$389$	15.4349	+	26.7340i	0.782580	+	1.35547i	0.930434	+	0.366459i	$0.119430\pi$
$389$	15.4349	+	26.7340i	0.782580	+	1.35547i	−0.147854	+	0.989009i	$0.547237\pi$
$390$	30.6065	+	16.7162i	1.54982	+	0.846457i
$391$	−26.2906	+	45.5367i	−1.32958	+	2.30289i
$392$	38.2934	−	22.1087i	1.93411	−	1.11666i
$393$	8.89366	+	13.2558i	0.448626	+	0.668667i
$394$	−11.8820	+	20.5802i	−0.598606	+	1.03682i
$395$	2.37222	+	5.71762i	0.119359	+	0.287685i
$396$	−42.4829	−	5.42911i	−2.13484	−	0.272823i
$397$	1.43603	+	2.48727i	0.0720722	+	0.124833i	0.899809	−	0.436283i	$-0.143705\pi$
$397$	1.43603	+	2.48727i	0.0720722	+	0.124833i	−0.827737	+	0.561116i	$0.810372\pi$
$398$	44.6935	−	25.8038i	2.24028	−	1.29343i
$399$	5.40608	+	15.8271i	0.270643	+	0.792347i
$400$	−26.4617	−	7.05734i	−1.32309	−	0.352867i
$401$	−15.5142	−	4.15702i	−0.774742	−	0.207591i	−0.150277	−	0.988644i	$-0.548016\pi$
$401$	−15.5142	−	4.15702i	−0.774742	−	0.207591i	−0.624465	+	0.781053i	$0.714683\pi$
$402$	57.2576	−	3.86194i	2.85575	−	0.192616i
$403$	−3.80964	−	10.4862i	−0.189772	−	0.522353i
$404$		−	51.9854i		−	2.58637i
$405$	−18.6550	−	7.54921i	−0.926975	−	0.375123i
$406$	−24.8303	+	43.0073i	−1.23231	+	2.13442i
$407$	−1.74824	−	6.52451i	−0.0866569	−	0.323408i
$408$	−45.1110	−	39.4102i	−2.23333	−	1.95110i
$409$	−24.1169	+	24.1169i	−1.19251	+	1.19251i	−0.216144	+	0.976361i	$0.569348\pi$
$409$	−24.1169	+	24.1169i	−1.19251	+	1.19251i	−0.976361	+	0.216144i	$0.930652\pi$
$410$	−3.24687	+	7.85157i	−0.160351	+	0.387762i
$411$	−3.71382	−	5.53537i	−0.183189	−	0.273040i
$412$	−11.5897	+	3.10546i	−0.570985	+	0.152995i
$413$	0.788263	−	0.211214i	0.0387879	−	0.0103932i
$414$	24.5742	+	58.6967i	1.20776	+	2.88478i
$415$	−16.9017	+	7.01247i	−0.829673	+	0.344229i
$416$	9.00282	−	0.782285i	0.441400	−	0.0383547i
$417$	24.0660	+	11.8113i	1.17852	+	0.578404i
$418$	10.5198	+	18.2208i	0.514538	+	0.891206i
$419$	13.5322	−	7.81285i	0.661094	−	0.381683i	−0.131600	−	0.991303i	$-0.542011\pi$
$419$	13.5322	−	7.81285i	0.661094	−	0.381683i	0.792694	+	0.609620i	$0.208678\pi$
$420$	56.7682	−	28.1702i	2.77001	−	1.37457i
$421$	0.213883	−	0.798223i	0.0104240	−	0.0389030i	−0.960518	−	0.278218i	$-0.910256\pi$
$421$	0.213883	−	0.798223i	0.0104240	−	0.0389030i	0.970942	+	0.239315i	$0.0769229\pi$
$422$	−34.1866	+	19.7376i	−1.66418	+	0.960812i
$423$	−2.87574	+	7.01782i	−0.139823	+	0.341218i
$424$	40.0593	+	40.0593i	1.94545	+	1.94545i
$425$	26.8253	+	15.4459i	1.30122	+	0.749236i
$426$	−21.4136	+	24.5111i	−1.03749	+	1.18757i
$427$	−7.61117	−	13.1829i	−0.368330	−	0.637967i
$428$	−76.2331	+	20.4266i	−3.68487	+	0.987357i
$429$	−19.2494	+	8.49994i	−0.929368	+	0.410381i
$430$	−32.8623	+	4.34590i	−1.58476	+	0.209578i
$431$	19.3984	−	5.19779i	0.934389	−	0.250369i	0.240663	−	0.970609i	$-0.422635\pi$
$431$	19.3984	−	5.19779i	0.934389	−	0.250369i	0.693725	+	0.720240i	$0.255968\pi$
$432$	−27.8821	+	5.71121i	−1.34148	+	0.274781i
$433$	6.70417	−	25.0203i	0.322182	−	1.20240i	−0.594932	−	0.803776i	$-0.702821\pi$
$433$	6.70417	−	25.0203i	0.322182	−	1.20240i	0.917114	−	0.398624i	$-0.130512\pi$
$434$	−28.8277	−	7.72435i	−1.38377	−	0.370781i
$435$	−11.0377	+	16.6082i	−0.529219	+	0.796300i
$436$	33.7834	−	33.7834i	1.61793	−	1.61793i
$437$	10.6179	−	18.3907i	0.507921	−	0.879745i
$438$	−9.41680	+	19.1870i	−0.449952	+	0.916792i
$439$	36.3457			1.73469			0.867343	−	0.497710i	$-0.165826\pi$
$439$	36.3457			1.73469			0.867343	+	0.497710i	$0.165826\pi$
$440$	33.3769	−	25.6420i	1.59118	−	1.22243i
$441$	−9.00391	+	21.9727i	−0.428757	+	1.04632i
$442$	−54.8925	−	9.71247i	−2.61097	−	0.461975i
$443$	12.0105	+	3.21821i	0.570637	+	0.152902i	0.532589	−	0.846374i	$-0.321219\pi$
$443$	12.0105	+	3.21821i	0.570637	+	0.152902i	0.0380485	+	0.999276i	$0.487886\pi$
$444$	−8.19623	−	12.2163i	−0.388976	−	0.579760i
$445$	0.400544	+	3.02879i	0.0189876	+	0.143578i
$446$		−	10.5951i		−	0.501694i
$447$	9.17166	+	26.8514i	0.433805	+	1.27003i
$448$	−9.06690	+	15.7043i	−0.428371	+	0.741960i
$449$	−6.83406	+	25.5050i	−0.322519	+	1.20366i	0.594263	+	0.804270i	$0.297444\pi$
$449$	−6.83406	+	25.5050i	−0.322519	+	1.20366i	−0.916782	+	0.399387i	$0.869223\pi$
$450$	34.5376	−	14.5070i	1.62812	−	0.683867i
$451$	−2.56332	−	4.43981i	−0.120702	−	0.209062i
$452$	−21.5980	+	21.5980i	−1.01589	+	1.01589i
$453$	13.5080	−	15.4620i	0.634661	−	0.726467i
$454$	1.36677	−	2.36732i	0.0641459	−	0.111104i
$455$	16.7300	−	26.2603i	0.784313	−	1.23110i
$456$	18.2188	+	15.9164i	0.853171	+	0.745353i
$457$			26.9112i			1.25885i	0.777060	+	0.629427i	$0.216710\pi$
$457$			26.9112i			1.25885i	−0.777060	+	0.629427i	$0.783290\pi$
$458$	0.688939	+	2.57116i	0.0321920	+	0.120142i
$459$	32.1113	+	1.92126i	1.49883	+	0.0896766i
$460$	−74.3584	−	30.7495i	−3.46698	−	1.43370i
$461$	−39.9004	+	10.6913i	−1.85835	+	0.497943i	−0.999888	−	0.0149372i	$-0.995245\pi$
$461$	−39.9004	+	10.6913i	−1.85835	+	0.497943i	−0.858460	+	0.512880i	$0.828578\pi$
$462$	−10.8768	+	55.2284i	−0.506033	+	2.56946i
$463$	−20.6035	−	11.8954i	−0.957524	−	0.552826i	−0.0621136	−	0.998069i	$-0.519784\pi$
$463$	−20.6035	−	11.8954i	−0.957524	−	0.552826i	−0.895410	+	0.445243i	$0.853117\pi$
$464$			28.2021i			1.30925i
$465$	−11.3578	−	3.82406i	−0.526704	−	0.177337i
$466$	−7.52453	+	7.52453i	−0.348567	+	0.348567i
$467$	−10.3013	+	10.3013i	−0.476687	+	0.476687i	−0.904070	−	0.427384i	$-0.859435\pi$
$467$	−10.3013	+	10.3013i	−0.476687	+	0.476687i	0.427384	+	0.904070i	$0.359435\pi$
$468$	−33.6892	+	31.0695i	−1.55728	+	1.43619i
$469$		−	51.2379i		−	2.36595i
$470$	−5.41011	−	13.0396i	−0.249550	−	0.601474i
$471$	−1.10258	+	5.59849i	−0.0508040	+	0.257965i
$472$	0.834680	−	0.834680i	0.0384193	−	0.0384193i
$473$	10.0007	−	17.3217i	0.459832	−	0.796452i
$474$	−11.9475	+	0.805843i	−0.548768	+	0.0370136i
$475$	−10.8338	−	6.23805i	−0.497088	−	0.286222i
$476$	−71.6305	+	71.6305i	−3.28318	+	3.28318i
$477$	−30.1785	−	3.85667i	−1.38178	−	0.176585i
$478$	−49.4224	+	13.2427i	−2.26053	+	0.605707i
$479$	−21.5902	−	21.5902i	−0.986481	−	0.986481i	0.0134291	−	0.999910i	$-0.495725\pi$
$479$	−21.5902	−	21.5902i	−0.986481	−	0.986481i	−0.999910	+	0.0134291i	$0.995725\pi$
$480$	5.37290	−	8.08444i	0.245238	−	0.369002i
$481$	−6.54888	−	3.05850i	−0.298603	−	0.139456i
$482$	13.7153	−	3.67500i	0.624715	−	0.167392i
$483$	53.7643	−	18.3643i	2.44636	−	0.835605i
$484$			1.49777i			0.0680803i
$485$	−6.14780	+	8.02165i	−0.279157	+	0.364244i
$486$	25.3897	−	29.5114i	1.15170	−	1.33866i
$487$	15.0779	−	8.70524i	0.683245	−	0.394472i	−0.117831	−	0.993034i	$-0.537594\pi$
$487$	15.0779	−	8.70524i	0.683245	−	0.394472i	0.801077	+	0.598562i	$0.204261\pi$
$488$	−19.0687	−	11.0093i	−0.863197	−	0.498367i
$489$	−0.698137	−	10.3507i	−0.0315708	−	0.468073i
$490$	−16.9390	−	40.8270i	−0.765225	−	1.84438i
$491$	−9.34557	+	5.39567i	−0.421760	+	0.243503i	−0.695830	−	0.718207i	$-0.744963\pi$
$491$	−9.34557	+	5.39567i	−0.421760	+	0.243503i	0.274070	+	0.961710i	$0.411630\pi$
$492$	−8.40854	−	7.34592i	−0.379086	−	0.331180i
$493$	8.25011	−	30.7898i	0.371566	−	1.38670i
$494$	22.1691	+	3.92252i	0.997436	+	0.176483i
$495$	−5.75455	+	21.8585i	−0.258648	+	0.982465i
$496$	−16.3711	+	4.38663i	−0.735086	+	0.196966i
$497$	20.5482	+	20.5482i	0.921713	+	0.921713i
$498$	−2.38213	−	35.3178i	−0.106746	−	1.58263i
$499$	8.92758	+	33.3182i	0.399653	+	1.49153i	0.813708	+	0.581275i	$0.197446\pi$
$499$	8.92758	+	33.3182i	0.399653	+	1.49153i	−0.414054	+	0.910252i	$0.635888\pi$
$500$	−18.0510	+	43.7955i	−0.807266	+	1.95859i
$501$	−19.9351	+	1.34459i	−0.890633	+	0.0600719i
$502$	−10.6759	−	18.4911i	−0.476487	−	0.825299i
$503$	−5.93566	−	1.59046i	−0.264658	−	0.0709149i	0.124050	−	0.992276i	$-0.460412\pi$
$503$	−5.93566	−	1.59046i	−0.264658	−	0.0709149i	−0.388708	+	0.921361i	$0.627078\pi$
$504$	8.69146	+	64.1373i	0.387148	+	2.85690i
$505$	−27.2034	−	3.56526i	−1.21054	−	0.158652i
$506$	61.8954	−	35.7353i	2.75159	−	1.58863i
$507$	−6.28536	+	21.6216i	−0.279142	+	0.960250i
$508$	−4.08551	−	15.2473i	−0.181265	−	0.676491i
$509$	−16.5731	−	4.44075i	−0.734590	−	0.196833i	−0.127918	−	0.991785i	$-0.540829\pi$
$509$	−16.5731	−	4.44075i	−0.734590	−	0.196833i	−0.606672	+	0.794952i	$0.707496\pi$
$510$	−44.9220	+	39.5930i	−1.98918	+	1.75321i
$511$	16.5263	+	9.54144i	0.731079	+	0.422088i
$512$			47.4680i			2.09781i
$513$	−12.9686	−	0.775927i	−0.572578	−	0.0342580i
$514$	−7.83320	+	29.2339i	−0.345508	+	1.28945i
$515$	0.830206	+	6.27775i	0.0365832	+	0.276631i
$516$	8.41733	−	42.7403i	0.370552	−	1.88154i
$517$	8.22803	+	2.20469i	0.361868	+	0.0969623i
$518$	−16.7444	+	9.66738i	−0.735706	+	0.424760i
$519$	−6.99245	+	35.5052i	−0.306934	+	1.55851i
$520$	1.96489	−	44.9953i	0.0861661	−	1.97317i
$521$	11.0185			0.482729			0.241365	−	0.970434i	$-0.422405\pi$
$521$	11.0185			0.482729			0.241365	+	0.970434i	$0.422405\pi$
$522$	−23.5995	−	30.5150i	−1.03292	−	1.33561i
$523$	4.35526	+	16.2540i	0.190442	+	0.710740i	0.993400	+	0.114704i	$0.0365918\pi$
$523$	4.35526	+	16.2540i	0.190442	+	0.710740i	−0.802958	+	0.596036i	$0.796741\pi$
$524$	19.5239	−	33.8163i	0.852904	−	1.47727i
$525$	−10.8479	−	31.6382i	−0.473440	−	1.38080i
$526$	9.93379	+	9.93379i	0.433134	+	0.433134i
$527$	19.1566			0.834473
$528$	10.3327	+	30.2505i	0.449672	+	1.31648i
$529$	−42.5540	−	24.5686i	−1.85018	−	1.06820i
$530$	44.9091	−	34.5016i	1.95073	−	1.49865i
$531$	−0.0803581	+	0.628803i	−0.00348724	+	0.0272877i
$532$	28.9290	−	28.9290i	1.25423	−	1.25423i
$533$	−5.40189	−	0.955791i	−0.233982	−	0.0413999i
$534$	−5.79869	−	1.14200i	−0.250934	−	0.0494193i
$535$	5.46080	+	41.2928i	0.236091	+	1.78525i
$536$	−37.0569	−	64.1844i	−1.60061	−	2.77235i
$537$	16.4833	+	24.5681i	0.711308	+	1.06019i
$538$	27.5044	+	47.6390i	1.18580	+	2.05386i
$539$	25.7619	+	6.90287i	1.10964	+	0.297328i
$540$	3.52774	+	49.1014i	0.151810	+	2.11299i
$541$	2.88520	−	2.88520i	0.124044	−	0.124044i	−0.642359	−	0.766404i	$-0.722044\pi$
$541$	2.88520	−	2.88520i	0.124044	−	0.124044i	0.766404	+	0.642359i	$0.222044\pi$
$542$	69.5427	−	18.6339i	2.98712	−	0.800395i
$543$	7.34081	+	3.60280i	0.315024	+	0.154611i
$544$	−4.01595	+	14.9877i	−0.172182	+	0.642593i
$545$	−15.3616	−	19.9954i	−0.658017	−	0.856510i
$546$	37.7623	+	46.9252i	1.61608	+	2.00821i
$547$	−3.92415	+	14.6451i	−0.167785	+	0.626181i	0.829884	+	0.557936i	$0.188407\pi$
$547$	−3.92415	+	14.6451i	−0.167785	+	0.626181i	−0.997669	+	0.0682449i	$0.978260\pi$
$548$	−8.15280	+	14.1211i	−0.348270	+	0.603222i
$549$	11.7175	−	1.58788i	0.500091	−	0.0677690i
$550$	−21.0797	−	36.4130i	−0.898841	−	1.55265i
$551$	−3.33193	+	12.4349i	−0.141945	+	0.529745i
$552$	54.0676	−	61.8886i	2.30127	−	2.63415i
$553$			10.6914i			0.454646i
$554$	−17.4332	+	4.67121i	−0.740665	+	0.198461i
$555$	−6.95477	+	3.45118i	−0.295214	+	0.146494i
$556$		−	65.5771i		−	2.78109i
$557$	4.90712	−	8.49938i	0.207921	−	0.360130i	−0.743138	−	0.669138i	$-0.766664\pi$
$557$	4.90712	−	8.49938i	0.207921	−	0.360130i	0.951060	+	0.309008i	$0.0999969\pi$
$558$	14.0431	−	18.4457i	0.594491	−	0.780871i
$559$	−7.30823	−	20.1162i	−0.309105	−	0.850823i
$560$	−37.5432	−	28.7732i	−1.58649	−	1.21589i
$561$	−2.43144	−	36.0489i	−0.102656	−	1.52198i
$562$	−6.14070	+	22.9174i	−0.259030	+	0.966713i
$563$	0.839118	+	0.839118i	0.0353646	+	0.0353646i	0.724568	−	0.689203i	$-0.242039\pi$
$563$	0.839118	+	0.839118i	0.0353646	+	0.0353646i	−0.689203	+	0.724568i	$0.742039\pi$
$564$	18.5100	−	1.24847i	0.779413	−	0.0525702i
$565$	9.82077	+	12.7832i	0.413163	+	0.537795i
$566$	−34.4405	−	9.22831i	−1.44764	−	0.387895i
$567$	−24.7636	−	24.3907i	−1.03997	−	1.02431i
$568$	40.6014	+	10.8791i	1.70360	+	0.456477i
$569$	6.48141			0.271715			0.135857	−	0.990728i	$-0.456621\pi$
$569$	6.48141			0.271715			0.135857	+	0.990728i	$0.456621\pi$
$570$	18.1424	−	15.9902i	0.759902	−	0.669757i
$571$	−16.2101	−	9.35889i	−0.678370	−	0.391657i	0.120870	−	0.992668i	$-0.461431\pi$
$571$	−16.2101	−	9.35889i	−0.678370	−	0.391657i	−0.799241	+	0.601011i	$0.794765\pi$
$572$	39.4113	+	33.1097i	1.64787	+	1.38439i
$573$	−22.4407	−	33.4474i	−0.937473	−	1.39728i
$574$	−10.3765	+	10.3765i	−0.433109	+	0.433109i
$575$	−21.1905	+	36.8021i	−0.883705	+	1.53475i
$576$	−8.61746	−	11.1427i	−0.359061	−	0.464280i
$577$			12.5287i			0.521576i	0.965396	+	0.260788i	$0.0839824\pi$
$577$			12.5287i			0.521576i	−0.965396	+	0.260788i	$0.916018\pi$
$578$	26.6306	−	46.1255i	1.10769	−	1.91857i
$579$	0.614511	+	9.11082i	0.0255382	+	0.378633i
$580$	48.3664	+	6.33887i	2.00831	+	0.263207i
$581$	−31.6047			−1.31119
$582$	−10.8926	−	16.2352i	−0.451512	−	0.672969i
$583$			34.1711i			1.41522i
$584$	27.6027			1.14221
$585$	13.9479	+	19.7600i	0.576673	+	0.816975i
$586$	45.1846			1.86656
$587$		−	3.47704i		−	0.143513i	−0.997422	−	0.0717563i	$-0.977140\pi$
$587$		−	3.47704i		−	0.143513i	0.997422	−	0.0717563i	$-0.0228604\pi$
$588$	57.9547	−	3.90896i	2.39001	−	0.161203i
$589$	−7.73665			−0.318783
$590$	−0.718880	−	0.935732i	−0.0295958	−	0.0385235i
$591$	−13.6865	+	9.18260i	−0.562986	+	0.377722i
$592$	−5.49007	+	9.50909i	−0.225641	+	0.390821i
$593$			41.6135i			1.70886i	0.519565	+	0.854431i	$0.326094\pi$
$593$			41.6135i			1.70886i	−0.519565	+	0.854431i	$0.673906\pi$
$594$	−36.4937	−	24.0851i	−1.49735	−	0.988223i
$595$	32.5709	+	42.3960i	1.33528	+	1.73807i
$596$	49.0794	−	49.0794i	2.01037	−	2.01037i
$597$	35.7112	−	2.40867i	1.46156	−	0.0985803i
$598$	13.3247	−	75.3079i	0.544888	−	3.07957i
$599$	17.4411	+	10.0696i	0.712623	+	0.411433i	0.812032	−	0.583613i	$-0.198362\pi$
$599$	17.4411	+	10.0696i	0.712623	+	0.411433i	−0.0994082	+	0.995047i	$0.531695\pi$
$600$	−36.4706	−	31.7868i	−1.48891	−	1.29769i
$601$	22.4303			0.914950			0.457475	−	0.889223i	$-0.348754\pi$
$601$	22.4303			0.914950			0.457475	+	0.889223i	$0.348754\pi$
$602$	−55.3016	−	14.8180i	−2.25393	−	0.603938i
$603$	36.8290	+	15.0917i	1.49979	+	0.614580i
$604$	−48.5117	−	12.9987i	−1.97391	−	0.528909i
$605$	0.783765	+	0.102720i	0.0318646	+	0.00417615i
$606$	23.3836	−	47.6449i	0.949895	−	1.93544i
$607$	−3.12543	−	3.12543i	−0.126857	−	0.126857i	0.640827	−	0.767685i	$-0.278591\pi$
$607$	−3.12543	−	3.12543i	−0.126857	−	0.126857i	−0.767685	+	0.640827i	$0.778591\pi$
$608$	1.62190	−	6.05301i	0.0657767	−	0.245482i
$609$	−28.6012	+	19.1892i	−1.15898	+	0.777588i
$610$	−13.3891	+	17.4701i	−0.542108	+	0.707342i
$611$	7.46969	−	5.22376i	0.302192	−	0.211331i
$612$	−30.3888	−	72.5851i	−1.22839	−	2.93408i
$613$	11.9680	−	20.7293i	0.483385	−	0.837247i	−0.516433	−	0.856327i	$-0.672741\pi$
$613$	11.9680	−	20.7293i	0.483385	−	0.837247i	0.999818	+	0.0190806i	$0.00607392\pi$
$614$		−	35.1484i		−	1.41848i
$615$	−4.42071	+	3.89630i	−0.178260	+	0.157114i
$616$	70.2182	−	18.8149i	2.82917	−	0.758074i
$617$			22.3210i			0.898610i	0.893378	+	0.449305i	$0.148328\pi$
$617$			22.3210i			0.898610i	−0.893378	+	0.449305i	$0.851672\pi$
$618$	−12.0189	−	2.36702i	−0.483472	−	0.0952156i
$619$	2.08146	−	7.76811i	0.0836609	−	0.312227i	−0.911396	−	0.411530i	$-0.864995\pi$
$619$	2.08146	−	7.76811i	0.0836609	−	0.312227i	0.995057	+	0.0993029i	$0.0316613\pi$
$620$	3.84337	+	29.0624i	0.154354	+	1.16717i
$621$	−2.63580	+	44.0540i	−0.105771	+	1.76783i
$622$	14.8644	−	25.7458i	0.596007	−	1.03231i
$623$	−1.36572	+	5.09693i	−0.0547164	+	0.204204i
$624$	31.8964	+	12.3559i	1.27688	+	0.494631i
$625$	21.6797	+	12.4495i	0.867189	+	0.497979i
$626$	−18.8903	+	70.4996i	−0.755009	+	2.81773i
$627$	0.981973	+	14.5589i	0.0392162	+	0.581425i
$628$	13.4823	−	3.61256i	0.538000	−	0.144157i
$629$	8.77558	−	8.77558i	0.349905	−	0.349905i
$630$	64.6996	−	0.283146i	2.57770	−	0.0112808i
$631$	13.5166	+	3.62175i	0.538086	+	0.144180i	0.517619	−	0.855611i	$-0.326818\pi$
$631$	13.5166	+	3.62175i	0.538086	+	0.144180i	0.0204661	+	0.999791i	$0.493485\pi$
$632$	7.73240	+	13.3929i	0.307578	+	0.532741i
$633$	−27.3160	+	1.84242i	−1.08571	+	0.0732296i
$634$	−2.28814	−	3.96317i	−0.0908736	−	0.157398i
$635$	−8.25895	+	1.09221i	−0.327746	+	0.0433430i
$636$	24.0557	+	70.4267i	0.953871	+	2.79260i
$637$	23.3875	−	16.3555i	0.926648	−	0.648030i
$638$	−30.6369	+	30.6369i	−1.21293	+	1.21293i
$639$	−20.8220	+	8.71745i	−0.823707	+	0.344857i
$640$	37.1118	+	4.86385i	1.46697	+	0.192261i
$641$	−23.5942	−	13.6221i	−0.931914	−	0.538041i	−0.0444974	−	0.999009i	$-0.514169\pi$
$641$	−23.5942	−	13.6221i	−0.931914	−	0.538041i	−0.887416	+	0.460969i	$0.847502\pi$
$642$	−79.0561	−	15.5694i	−3.12010	−	0.614476i
$643$	30.3438			1.19664			0.598322	−	0.801256i	$-0.295834\pi$
$643$	30.3438			1.19664			0.598322	+	0.801256i	$0.295834\pi$
$644$	−98.2712	−	98.2712i	−3.87243	−	3.87243i
$645$	−21.7882	−	7.33591i	−0.857911	−	0.288851i
$646$	−19.3282	+	33.4775i	−0.760460	+	1.31715i
$647$	9.17395	+	34.2376i	0.360665	+	1.34602i	0.873203	+	0.487356i	$0.162039\pi$
$647$	9.17395	+	34.2376i	0.360665	+	1.34602i	−0.512538	+	0.858664i	$0.671295\pi$
$648$	−48.6609	−	12.6438i	−1.91158	−	0.496694i
$649$	0.711993			0.0279482
$650$	−44.3425	−	7.79249i	−1.73926	−	0.305646i
$651$	−15.5880	−	13.6181i	−0.610940	−	0.533734i
$652$	−21.9770	+	12.6885i	−0.860688	+	0.496918i
$653$	12.9368	+	3.46640i	0.506255	+	0.135651i	0.502902	−	0.864344i	$-0.332266\pi$
$653$	12.9368	+	3.46640i	0.506255	+	0.135651i	0.00335382	+	0.999994i	$0.498932\pi$
$654$	46.1588	−	15.7665i	1.80495	−	0.616519i
$655$	−16.3567	−	12.5358i	−0.639111	−	0.489815i
$656$	−2.15692	+	8.04973i	−0.0842135	+	0.314289i
$657$	−11.7259	+	9.06848i	−0.457471	+	0.353795i
$658$		−	24.3830i		−	0.950548i
$659$	−41.9104	−	24.1970i	−1.63260	−	0.942580i	−0.983289	−	0.182053i	$-0.941726\pi$
$659$	−41.9104	−	24.1970i	−1.63260	−	0.942580i	−0.649307	−	0.760526i	$-0.724941\pi$
$660$	54.2019	−	10.9212i	2.10980	−	0.425108i
$661$	35.7917	+	9.59035i	1.39213	+	0.373021i	0.875514	−	0.483193i	$-0.160523\pi$
$661$	35.7917	+	9.59035i	1.39213	+	0.373021i	0.516621	+	0.856214i	$0.327190\pi$
$662$	−7.04930	−	26.3084i	−0.273979	−	1.02250i
$663$	−31.2086	−	22.8205i	−1.21204	−	0.886273i
$664$	−39.5905	+	22.8576i	−1.53641	+	0.887046i
$665$	−13.1542	−	17.1223i	−0.510099	−	0.663973i
$666$	−2.01685	−	14.8831i	−0.0781515	−	0.576707i
$667$	42.2411	+	11.3185i	1.63558	+	0.438253i
$668$	24.4376	+	42.3271i	0.945518	+	1.63768i
$669$	3.23754	−	6.59659i	0.125171	−	0.255039i
$670$	−68.4311	+	28.3919i	−2.64372	+	1.09687i
$671$	−3.43737	−	12.8284i	−0.132698	−	0.495236i
$672$	13.9223	−	9.34085i	0.537066	−	0.360331i
$673$	−4.81343	−	4.81343i	−0.185544	−	0.185544i	0.608222	−	0.793767i	$-0.291883\pi$
$673$	−4.81343	−	4.81343i	−0.185544	−	0.185544i	−0.793767	+	0.608222i	$0.791883\pi$
$674$	−28.7163	+	7.69452i	−1.10611	+	0.296382i
$675$	25.9362	+	1.52144i	0.998284	+	0.0585604i
$676$	54.2538	−	9.50032i	2.08668	−	0.365397i
$677$	7.38077	−	27.5454i	0.283666	−	1.05866i	−0.666142	−	0.745825i	$-0.732056\pi$
$677$	7.38077	−	27.5454i	0.283666	−	1.05866i	0.949809	−	0.312832i	$-0.101278\pi$
$678$	−29.5097	+	10.0797i	−1.13331	+	0.387107i
$679$	−15.1170	+	8.72779i	−0.580136	+	0.334942i
$680$	71.4630	+	29.5521i	2.74048	+	1.13327i
$681$	1.57434	−	1.05627i	0.0603289	−	0.0404762i
$682$	−22.5499	−	13.0192i	−0.863481	−	0.498531i
$683$	−36.7302	+	21.2062i	−1.40544	+	0.811432i	−0.994944	−	0.100430i	$-0.967978\pi$
$683$	−36.7302	+	21.2062i	−1.40544	+	0.811432i	−0.410497	+	0.911862i	$0.634645\pi$
$684$	12.2730	+	29.3145i	0.469269	+	1.12087i
$685$	6.83026	+	5.23472i	0.260971	+	0.200008i
$686$		−	8.82824i		−	0.337064i
$687$	−0.356727	+	1.81134i	−0.0136100	+	0.0691067i
$688$	−31.4056	+	8.41511i	−1.19733	+	0.320823i
$689$	27.9965	+	23.5201i	1.06658	+	0.896044i
$690$	−54.3184	−	61.6293i	−2.06787	−	2.34619i
$691$	19.6425	+	19.6425i	0.747236	+	0.747236i	0.973959	−	0.226723i	$-0.0728012\pi$
$691$	19.6425	+	19.6425i	0.747236	+	0.747236i	−0.226723	+	0.973959i	$0.572801\pi$
$692$	85.5034	−	22.9106i	3.25035	−	0.870929i
$693$	−23.6480	+	31.0619i	−0.898313	+	1.17995i
$694$	21.5116	−	21.5116i	0.816569	−	0.816569i
$695$	−34.3158	−	4.49741i	−1.30167	−	0.170596i
$696$	−21.9497	+	44.7232i	−0.832001	+	1.69523i
$697$	4.70966	−	8.15738i	0.178391	−	0.308983i
$698$	−8.34285	+	8.34285i	−0.315781	+	0.315781i
$699$	−6.98408	+	2.38556i	−0.264162	+	0.0902301i
$700$	−57.7843	+	57.9192i	−2.18404	+	2.18914i
$701$		−	21.1808i		−	0.799988i	−0.916518	−	0.399994i	$-0.869012\pi$
$701$		−	21.1808i		−	0.799988i	0.916518	−	0.399994i	$-0.130988\pi$
$702$	−44.8517	+	13.3216i	−1.69282	+	0.502791i
$703$	−3.54414	+	3.54414i	−0.133670	+	0.133670i
$704$	−11.1872	+	11.1872i	−0.421634	+	0.421634i
$705$	0.616142	−	9.77172i	0.0232052	−	0.368024i
$706$			15.8877i			0.597943i
$707$	−41.0377	−	23.6931i	−1.54338	−	0.891073i
$708$	1.46742	−	0.501228i	0.0551490	−	0.0188373i
$709$	24.5184	−	6.56969i	0.920808	−	0.246730i	0.232877	−	0.972506i	$-0.425186\pi$
$709$	24.5184	−	6.56969i	0.920808	−	0.246730i	0.687931	+	0.725776i	$0.258519\pi$
$710$	16.0572	−	38.8294i	0.602615	−	1.45724i
$711$	−7.68484	−	3.14907i	−0.288204	−	0.118099i
$712$	1.97546	+	7.37253i	0.0740337	+	0.276297i
$713$			26.2812i			0.984239i
$714$	−97.8700	+	33.4295i	−3.66269	+	1.25107i
$715$	20.0288	−	18.3528i	0.749036	−	0.686354i
$716$	36.1852	−	62.6745i	1.35230	−	2.34226i
$717$	−34.8173	−	6.85696i	−1.30027	−	0.256078i
$718$	−19.9383	+	19.9383i	−0.744092	+	0.744092i
$719$	−13.5065	−	23.3939i	−0.503707	−	0.872445i	−0.999991	−	0.00428523i	$-0.998636\pi$
$719$	−13.5065	−	23.3939i	−0.503707	−	0.872445i	0.496284	−	0.868160i	$-0.334697\pi$
$720$	31.7397	−	18.5106i	1.18287	−	0.689850i
$721$	−2.83072	+	10.5644i	−0.105421	+	0.393438i
$722$	−15.9190	+	27.5726i	−0.592446	+	1.02615i
$723$	9.66219	+	1.90289i	0.359341	+	0.0707691i
$724$		−	20.0029i		−	0.743402i
$725$	6.63413	−	24.8749i	0.246385	−	0.923830i
$726$	−0.673712	+	1.37271i	−0.0250038	+	0.0509461i
$727$	6.11169	+	1.63762i	0.226670	+	0.0607361i	0.370366	−	0.928886i	$-0.379232\pi$
$727$	6.11169	+	1.63762i	0.226670	+	0.0607361i	−0.143696	+	0.989622i	$0.545899\pi$
$728$	32.9163	−	70.4804i	1.21996	−	2.61218i
$729$	24.8256	−	10.6156i	0.919465	−	0.393172i
$730$	3.58563	−	27.3588i	0.132710	−	1.01260i
$731$	36.7491			1.35921
$732$	−16.1154	−	24.0196i	−0.595641	−	0.887790i
$733$	6.62164	−	11.4690i	0.244576	−	0.423618i	−0.717436	−	0.696624i	$-0.754685\pi$
$733$	6.62164	−	11.4690i	0.244576	−	0.423618i	0.962012	+	0.273006i	$0.0880180\pi$
$734$	−32.6014	+	32.6014i	−1.20334	+	1.20334i
$735$	1.92913	−	30.5952i	0.0711572	−	1.12852i
$736$	−20.5619	−	5.50955i	−0.757922	−	0.203085i
$737$	11.5701	−	43.1801i	0.426189	−	1.59056i
$738$	−4.40219	−	10.5148i	−0.162047	−	0.387056i
$739$	42.8662	−	11.4860i	1.57686	−	0.422518i	0.638906	−	0.769285i	$-0.279387\pi$
$739$	42.8662	−	11.4860i	1.57686	−	0.422518i	0.937951	+	0.346767i	$0.112721\pi$
$740$	15.0741	+	11.5528i	0.554133	+	0.424688i
$741$	12.6040	+	9.21638i	0.463021	+	0.338572i
$742$	94.4795	−	25.3157i	3.46845	−	0.929369i
$743$	−8.07125	−	13.9798i	−0.296105	−	0.512869i	0.679136	−	0.734012i	$-0.262355\pi$
$743$	−8.07125	−	13.9798i	−0.296105	−	0.512869i	−0.975241	+	0.221143i	$0.929021\pi$
$744$	−29.3757	−	5.78529i	−1.07696	−	0.212099i
$745$	−22.3168	−	29.0487i	−0.817623	−	1.06426i
$746$	−6.52211	−	6.52211i	−0.238791	−	0.238791i
$747$	9.30889	−	22.7170i	0.340595	−	0.831172i
$748$	−76.5407	+	44.1908i	−2.79861	+	1.61578i
$749$	−18.6195	+	69.4888i	−0.680340	+	2.53907i
$750$	−36.2435	+	32.0192i	−1.32343	+	1.16918i
$751$	−24.1164	+	13.9236i	−0.880019	+	0.508079i	−0.870665	−	0.491877i	$-0.836311\pi$
$751$	−24.1164	+	13.9236i	−0.880019	+	0.508079i	−0.00935425	+	0.999956i	$0.502978\pi$
$752$	−6.92351	−	11.9919i	−0.252474	−	0.437298i
$753$	−0.996544	−	14.7749i	−0.0363161	−	0.538427i
$754$	4.01347	+	46.1885i	0.146162	+	1.68208i
$755$	−10.1291	+	24.4942i	−0.368636	+	0.891435i
$756$	−26.8716	+	80.6663i	−0.977312	+	2.93381i
$757$	−14.3227	+	3.83775i	−0.520566	+	0.139485i	−0.509528	−	0.860454i	$-0.670180\pi$
$757$	−14.3227	+	3.83775i	−0.520566	+	0.139485i	−0.0110376	+	0.999939i	$0.503513\pi$
$758$	−9.50106	+	2.54580i	−0.345094	+	0.0924677i
$759$	49.4561	−	3.33574i	1.79514	−	0.121080i
$760$	−28.8614	−	11.9351i	−1.04691	−	0.432930i
$761$	29.5785	−	29.5785i	1.07222	−	1.07222i	0.0750404	−	0.997180i	$-0.476091\pi$
$761$	29.5785	−	29.5785i	1.07222	−	1.07222i	0.997180	−	0.0750404i	$-0.0239086\pi$
$762$	3.11403	−	15.8120i	0.112809	−	0.572807i
$763$	−11.2716	−	42.0662i	−0.408060	−	1.52290i
$764$	−49.2631	+	85.3262i	−1.78228	+	3.08699i
$765$	−40.0671	+	10.9241i	−1.44863	+	0.394962i
$766$		−	49.5557i		−	1.79052i
$767$	0.490067	−	0.583339i	0.0176953	−	0.0210632i
$768$	−24.7345	+	50.3973i	−0.892528	+	1.81855i
$769$	47.3315	+	12.6824i	1.70682	+	0.457341i	0.974641	−	0.223773i	$-0.0718375\pi$
$769$	47.3315	+	12.6824i	1.70682	+	0.457341i	0.732178	+	0.681114i	$0.238504\pi$
$770$	−9.52722	−	72.0419i	−0.343337	−	2.59621i
$771$	−13.8100	+	15.8076i	−0.497354	+	0.569298i
$772$	19.3445	−	11.1686i	0.696225	−	0.401966i
$773$	−6.78748	−	11.7563i	−0.244129	−	0.422843i	0.717758	−	0.696293i	$-0.245169\pi$
$773$	−6.78748	−	11.7563i	−0.244129	−	0.422843i	−0.961886	+	0.273450i	$0.911835\pi$
$774$	26.9396	−	35.3855i	0.968323	−	1.27190i
$775$	15.4716	−	0.0180405i	0.555757	−	0.000648035i
$776$	−12.6244	+	21.8662i	−0.453191	+	0.784950i
$777$	−13.3792	+	0.902407i	−0.479976	+	0.0323737i
$778$	66.7648	−	38.5467i	2.39363	−	1.38197i
$779$	−1.90207	+	3.29448i	−0.0681486	+	0.118037i
$780$	28.3595	−	51.9249i	1.01543	−	1.85921i
$781$	12.6767	+	21.9568i	0.453609	+	0.785675i
$782$	113.722	+	65.6575i	4.06670	+	2.34791i
$783$	−5.36872	−	26.2101i	−0.191863	−	0.936673i
$784$	−21.6774	−	37.5464i	−0.774194	−	1.34094i
$785$	−0.965773	−	7.30287i	−0.0344699	−	0.260651i
$786$	33.1047	−	22.2108i	1.18081	−	0.792233i
$787$	−5.88119			−0.209642			−0.104821	−	0.994491i	$-0.533427\pi$
$787$	−5.88119			−0.209642			−0.104821	+	0.994491i	$0.533427\pi$
$788$	34.9150	+	20.1582i	1.24379	+	0.718105i
$789$	3.14938	+	9.22030i	0.112121	+	0.328251i
$790$	14.2790	−	5.92432i	0.508025	−	0.210778i
$791$	7.20603	+	26.8933i	0.256217	+	0.956215i
$792$	−7.15827	+	56.0135i	−0.254358	+	1.99035i
$793$	−12.8763	−	6.01360i	−0.457252	−	0.213549i
$794$	6.21165	−	3.58630i	0.220443	−	0.127273i
$795$	38.5033	−	7.75809i	1.36557	−	0.275151i
$796$	−43.7769	−	75.8238i	−1.55163	−	2.68750i
$797$	−8.04221	+	8.04221i	−0.284870	+	0.284870i	−0.835047	−	0.550178i	$-0.814560\pi$
$797$	−8.04221	+	8.04221i	−0.284870	+	0.284870i	0.550178	+	0.835047i	$0.314560\pi$
$798$	39.5262	−	13.5010i	1.39921	−	0.477930i
$799$	4.05075	+	15.1176i	0.143305	+	0.534822i
$800$	−3.22933	+	12.1085i	−0.114174	+	0.428099i
$801$	−3.26134	−	2.48291i	−0.115234	−	0.0877295i
$802$	−10.3816	+	38.7447i	−0.366588	+	1.36812i
$803$	11.7727	+	11.7727i	0.415451	+	0.415451i
$804$	−6.55190	−	97.1393i	−0.231068	−	3.42584i
$805$	−58.1639	+	44.6846i	−2.05001	+	1.57493i
$806$	−26.1879	+	9.51408i	−0.922428	+	0.335119i
$807$	2.56741	+	38.0648i	0.0903772	+	1.33994i
$808$	−68.5426			−2.41132
$809$	27.0043	+	15.5910i	0.949422	+	0.548149i	0.892901	−	0.450252i	$-0.148666\pi$
$809$	27.0043	+	15.5910i	0.949422	+	0.548149i	0.0565208	+	0.998401i	$0.481999\pi$
$810$	−18.8532	+	46.5885i	−0.662433	+	1.63695i
$811$	0.690589	+	0.690589i	0.0242499	+	0.0242499i	0.719128	−	0.694878i	$-0.244542\pi$
$811$	0.690589	+	0.690589i	0.0242499	+	0.0242499i	−0.694878	+	0.719128i	$0.744542\pi$
$812$	72.9632	+	42.1253i	2.56051	+	1.47831i
$813$	48.9917	+	9.64849i	1.71821	+	0.338387i
$814$	−16.2941	+	4.36600i	−0.571109	+	0.153028i
$815$	5.13250	+	12.3705i	0.179784	+	0.433321i
$816$	−38.6415	+	44.2311i	−1.35272	+	1.54840i
$817$	−14.8416			−0.519243
$818$	60.2290	+	60.2290i	2.10586	+	2.10586i
$819$	9.17218	+	40.7549i	0.320502	+	1.42409i
$820$	13.3204	+	5.50841i	0.465170	+	0.192362i
$821$	32.5387	+	32.5387i	1.13561	+	1.13561i	0.989228	+	0.146380i	$0.0467623\pi$
$821$	32.5387	+	32.5387i	1.13561	+	1.13561i	0.146380	+	0.989228i	$0.453238\pi$
$822$	−13.8239	+	9.27480i	−0.482164	+	0.323496i
$823$	31.0409	+	31.0409i	1.08202	+	1.08202i	0.996321	+	0.0856954i	$0.0273112\pi$
$823$	31.0409	+	31.0409i	1.08202	+	1.08202i	0.0856954	+	0.996321i	$0.472689\pi$
$824$	4.09454	+	15.2810i	0.142640	+	0.532339i
$825$	−1.99768	−	29.1122i	−0.0695503	−	1.01356i
$826$	−0.527481	−	1.96859i	−0.0183534	−	0.0684959i
$827$	−42.8405			−1.48971			−0.744855	−	0.667226i	$-0.767481\pi$
$827$	−42.8405			−1.48971			−0.744855	+	0.667226i	$0.767481\pi$
$828$	99.5807	−	41.6909i	3.46067	−	1.44886i
$829$	−9.01993	+	15.6230i	−0.313275	+	0.542608i	−0.979069	−	0.203527i	$-0.934759\pi$
$829$	−9.01993	+	15.6230i	−0.313275	+	0.542608i	0.665794	+	0.746135i	$0.268093\pi$
$830$	17.5128	+	42.2099i	0.607877	+	1.46513i
$831$	−12.2814	−	2.41871i	−0.426036	−	0.0839042i
$832$	1.46554	+	16.8659i	0.0508084	+	0.584721i
$833$	12.6828	+	47.3330i	0.439434	+	1.63999i
$834$	29.4973	−	60.1018i	1.02141	−	2.08115i
$835$	23.8253	−	9.88503i	0.824508	−	0.342086i
$836$	30.9121	−	17.8471i	1.06912	−	0.617255i
$837$	14.3797	−	7.19331i	0.497037	−	0.248637i
$838$	−19.5116	−	33.7951i	−0.674017	−	1.16743i
$839$	−17.1197	+	4.58720i	−0.591037	+	0.158368i	−0.541927	−	0.840426i	$-0.682305\pi$
$839$	−17.1197	+	4.58720i	−0.591037	+	0.158368i	−0.0491099	+	0.998793i	$0.515638\pi$
$840$	−37.1423	−	74.8487i	−1.28153	−	2.58253i
$841$	2.48915			0.0858328
$842$	−1.99346	−	0.534146i	−0.0686992	−	0.0184079i
$843$	−10.8261	+	12.3921i	−0.372870	+	0.426807i
$844$	33.4855	+	57.9986i	1.15262	+	1.99639i
$845$	−1.25058	−	29.0420i	−0.0430214	−	0.999074i
$846$	17.5261	+	7.18179i	0.602560	+	0.246915i
$847$	1.18235	+	0.682630i	0.0406260	+	0.0234554i
$848$	39.2779	−	39.2779i	1.34881	−	1.34881i
$849$	−18.6230	−	16.2695i	−0.639139	−	0.558369i
$850$	38.5742	−	66.9927i	1.32308	−	2.29783i
$851$	12.0394	+	12.0394i	0.412704	+	0.412704i
$852$	41.5839	+	36.3288i	1.42464	+	1.24460i
$853$	7.98305	−	4.60902i	0.273335	−	0.157810i	−0.357067	−	0.934079i	$-0.616223\pi$
$853$	7.98305	−	4.60902i	0.273335	−	0.157810i	0.630402	+	0.776269i	$0.282890\pi$
$854$	−32.9227	+	19.0079i	−1.12659	+	0.650438i
$855$	16.1817	−	4.41186i	0.553402	−	0.150882i
$856$	26.9324	+	100.513i	0.920531	+	3.43547i
$857$	−43.6276	−	11.6900i	−1.49029	−	0.399322i	−0.580456	−	0.814292i	$-0.697126\pi$
$857$	−43.6276	−	11.6900i	−1.49029	−	0.399322i	−0.909835	+	0.414970i	$0.863792\pi$
$858$	21.2275	+	48.0728i	0.724696	+	1.64118i
$859$	−25.0898	−	14.4856i	−0.856054	−	0.494243i	0.00663500	−	0.999978i	$-0.497888\pi$
$859$	−25.0898	−	14.4856i	−0.856054	−	0.494243i	−0.862689	+	0.505735i	$0.831221\pi$
$860$	7.37295	+	55.7519i	0.251416	+	1.90113i
$861$	−9.63125	+	3.28975i	−0.328232	+	0.112115i
$862$	−12.9808	−	48.4451i	−0.442128	−	1.65005i
$863$	−20.8419			−0.709468			−0.354734	−	0.934967i	$-0.615429\pi$
$863$	−20.8419			−0.709468			−0.354734	+	0.934967i	$0.615429\pi$
$864$	2.61336	+	12.7584i	0.0889084	+	0.434051i
$865$	−6.12486	−	46.3142i	−0.208251	−	1.57473i
$866$	−62.4851	−	16.7428i	−2.12333	−	0.568944i
$867$	30.6749	−	20.5805i	1.04177	−	0.698952i
$868$	−13.1046	+	48.9070i	−0.444799	+	1.66001i
$869$	−2.41424	+	9.01008i	−0.0818976	+	0.305646i
$870$	41.4768	+	27.5654i	1.40619	+	0.934553i
$871$	−27.4139	−	39.2004i	−0.928885	−	1.32826i
$872$	−44.5433	−	44.5433i	−1.50843	−	1.50843i
$873$	−1.82083	−	13.4365i	−0.0616258	−	0.454758i
$874$	−45.9284	−	26.5168i	−1.55355	−	0.896943i
$875$	26.3455	+	34.2101i	0.890641	+	1.15651i
$876$	32.5514	+	15.9759i	1.09981	+	0.539775i
$877$			29.7481i			1.00452i	0.864716	+	0.502262i	$0.167499\pi$
$877$			29.7481i			1.00452i	−0.864716	+	0.502262i	$0.832501\pi$
$878$		−	90.7688i		−	3.06330i
$879$	28.1322	+	13.8070i	0.948875	+	0.465698i
$880$	−25.1418	−	32.7259i	−0.847529	−	1.10319i
$881$	26.9216	+	15.5432i	0.907010	+	0.523663i	0.879468	−	0.475958i	$-0.157899\pi$
$881$	26.9216	+	15.5432i	0.907010	+	0.523663i	0.0275422	+	0.999621i	$0.491232\pi$
$882$	54.8741	+	22.4861i	1.84771	+	0.757147i
$883$	−14.2288	−	14.2288i	−0.478836	−	0.478836i	0.425923	−	0.904759i	$-0.359949\pi$
$883$	−14.2288	−	14.2288i	−0.478836	−	0.478836i	−0.904759	+	0.425923i	$0.859949\pi$
$884$	−16.4775	+	93.1268i	−0.554198	+	3.13219i
$885$	−0.161648	−	0.802259i	−0.00543375	−	0.0269677i
$886$	8.03707	−	29.9948i	0.270011	−	1.00769i
$887$	−8.44926	+	31.5331i	−0.283698	+	1.05878i	0.666087	+	0.745874i	$0.267968\pi$
$887$	−8.44926	+	31.5331i	−0.283698	+	1.05878i	−0.949785	+	0.312903i	$0.898699\pi$
$888$	−16.1072	+	10.8067i	−0.540521	+	0.362649i
$889$	−13.8984	−	3.72406i	−0.466137	−	0.124901i
$890$	7.56401	−	1.00031i	0.253546	−	0.0335304i
$891$	−15.3615	−	26.1468i	−0.514631	−	0.875952i
$892$	−17.9750			−0.601847
$893$	−1.63595	−	6.10546i	−0.0547451	−	0.204311i
$894$	67.0580	−	22.9051i	2.24276	−	0.766060i
$895$	−30.3152	−	23.2336i	−1.01333	−	0.776615i
$896$	55.9851	+	32.3230i	1.87033	+	1.07984i
$897$	31.3078	−	42.8156i	1.04534	−	1.42957i
$898$	63.6956	+	17.0672i	2.12555	+	0.569539i
$899$	−4.12357	−	15.3894i	−0.137529	−	0.513265i
$900$	−24.6116	−	58.5940i	−0.820386	−	1.95313i
$901$	−54.3721	+	31.3918i	−1.81140	+	1.04581i
$902$	−11.0878	+	6.40157i	−0.369185	+	0.213149i
$903$	−29.9032	−	26.1242i	−0.995116	−	0.869360i
$904$	28.4769	+	28.4769i	0.947128	+	0.947128i
$905$	−10.4673	−	1.37184i	−0.347945	−	0.0456014i
$906$	−38.6143	−	33.7345i	−1.28287	−	1.12075i
$907$	−14.2170	+	14.2170i	−0.472068	+	0.472068i	−0.902583	−	0.430515i	$-0.858332\pi$
$907$	−14.2170	+	14.2170i	−0.472068	+	0.472068i	0.430515	+	0.902583i	$0.358332\pi$
$908$	−4.01624	−	2.31878i	−0.133284	−	0.0769513i
$909$	29.1176	−	22.5187i	0.965769	−	0.746898i
$910$	−65.5818	−	41.7809i	−2.17402	−	1.38502i
$911$	−15.1064	−	26.1651i	−0.500499	−	0.866889i	−1.00000		0.000575797i	$-0.999817\pi$
$911$	−15.1064	−	26.1651i	−0.500499	−	0.866889i	0.499501	−	0.866313i	$-0.333517\pi$
$912$	15.6059	−	17.8634i	0.516764	−	0.591515i
$913$	−26.6345	−	7.13669i	−0.881473	−	0.236190i
$914$	67.2073			2.22302
$915$	−13.6744	+	6.78568i	−0.452062	+	0.224328i
$916$	4.36205	−	1.16881i	0.144126	−	0.0386185i
$917$	−17.7966	−	30.8246i	−0.587696	−	1.01792i
$918$	4.79809	−	80.1938i	0.158361	−	2.64679i
$919$	27.2318	−	15.7223i	0.898296	−	0.518631i	0.0216489	−	0.999766i	$-0.493108\pi$
$919$	27.2318	−	15.7223i	0.898296	−	0.518631i	0.876647	+	0.481134i	$0.159775\pi$
$920$	−40.5431	+	98.0413i	−1.33667	+	3.23233i
$921$	10.7403	−	21.8836i	0.353904	−	0.721090i
$922$	26.7001	+	99.6463i	0.879322	+	3.28167i
$923$	26.7147	+	4.72680i	0.879325	+	0.155584i
$924$	93.6967	+	18.4528i	3.08239	+	0.607051i
$925$	7.07925	−	7.09578i	0.232764	−	0.233308i
$926$	−29.7073	+	51.4545i	−0.976241	+	1.69090i
$927$	−6.75976	−	5.14632i	−0.222020	−	0.169027i
$928$	12.9048			0.423622
$929$	7.04971	+	26.3099i	0.231293	+	0.863199i	0.979785	+	0.200054i	$0.0641119\pi$
$929$	7.04971	+	26.3099i	0.231293	+	0.863199i	−0.748491	+	0.663145i	$0.769221\pi$
$930$	−9.55012	+	28.3646i	−0.313161	+	0.930112i
$931$	−5.12215	−	19.1161i	−0.167872	−	0.626506i
$932$	12.7656	+	12.7656i	0.418151	+	0.418151i
$933$	17.1218	−	11.4874i	0.560541	−	0.376081i
$934$	25.7262	+	25.7262i	0.841785	+	0.841785i
$935$	17.8753	+	43.0836i	0.584583	+	1.40898i
$936$	40.9651	+	44.4191i	1.33898	+	1.45188i
$937$	29.7880	+	29.7880i	0.973132	+	0.973132i	0.999648	−	0.0265161i	$-0.00844132\pi$
$937$	29.7880	+	29.7880i	0.973132	+	0.973132i	−0.0265161	+	0.999648i	$0.508441\pi$
$938$	−127.960			−4.17805
$939$	−33.3037	+	38.1212i	−1.08683	+	1.24404i
$940$	−22.1222	+	9.17842i	−0.721546	+	0.299367i
$941$	46.4028	−	12.4336i	1.51269	−	0.405323i	0.595361	−	0.803458i	$-0.297009\pi$
$941$	46.4028	−	12.4336i	1.51269	−	0.405323i	0.917327	+	0.398135i	$0.130342\pi$
$942$	13.9815	+	2.75354i	0.455543	+	0.0897152i
$943$	11.1912	+	6.46127i	0.364437	+	0.210408i
$944$	−0.818399	−	0.818399i	−0.0266366	−	0.0266366i
$945$	40.3689	+	19.5939i	1.31320	+	0.637389i
$946$	−43.2587	−	24.9754i	−1.40646	−	0.812021i
$947$	8.55800			0.278098			0.139049	−	0.990286i	$-0.455595\pi$
$947$	8.55800			0.278098			0.139049	+	0.990286i	$0.455595\pi$
$948$	1.36714	+	20.2694i	0.0444026	+	0.658318i
$949$	17.7487	−	1.54224i	0.576146	−	0.0500633i
$950$	−15.5787	+	27.0560i	−0.505441	+	0.877812i
$951$	−0.213588	−	3.16668i	−0.00692605	−	0.102687i
$952$	94.4446	+	94.4446i	3.06097	+	3.06097i
$953$	5.25735	−	19.6207i	0.170302	−	0.635576i	−0.827002	−	0.562199i	$-0.809956\pi$
$953$	5.25735	−	19.6207i	0.170302	−	0.635576i	0.997304	−	0.0733774i	$-0.0233777\pi$
$954$	−9.63155	+	75.3669i	−0.311833	+	2.44010i
$955$	41.2717	+	31.6307i	1.33552	+	1.02354i
$956$	22.4667	+	83.8467i	0.726623	+	2.71180i
$957$	−28.4364	+	9.71305i	−0.919219	+	0.313978i
$958$	−53.9187	+	53.9187i	−1.74204	+	1.74204i
$959$	7.43152	+	12.8718i	0.239976	+	0.415651i
$960$	15.1454	+	10.0656i	0.488817	+	0.324867i
$961$	−18.5547	+	10.7126i	−0.598540	+	0.345567i
$962$	−7.63822	+	16.3550i	−0.246266	+	0.527306i
$963$	−44.4633	−	33.8507i	−1.43281	−	1.09082i
$964$	−6.23476	−	23.2684i	−0.200808	−	0.749426i
$965$	−4.51771	−	10.8887i	−0.145430	−	0.350521i
$966$	−45.8625	−	134.270i	−1.47560	−	4.32005i
$967$	30.8046	+	17.7850i	0.990609	+	0.571928i	0.905456	−	0.424440i	$-0.139529\pi$
$967$	30.8046	+	17.7850i	0.990609	+	0.571928i	0.0851525	+	0.996368i	$0.472862\pi$
$968$	1.97480			0.0634725
$969$	−22.2636	+	14.9372i	−0.715208	+	0.479852i
$970$	20.0330	+	15.3534i	0.643222	+	0.492966i
$971$	2.70549	+	4.68604i	0.0868231	+	0.150382i	0.906167	−	0.422921i	$-0.138995\pi$
$971$	2.70549	+	4.68604i	0.0868231	+	0.150382i	−0.819343	+	0.573303i	$0.805662\pi$
$972$	−50.0669	−	43.0745i	−1.60590	−	1.38161i
$973$	−51.7671	−	29.8878i	−1.65958	−	0.958158i
$974$	−21.7402	−	37.6552i	−0.696602	−	1.20655i
$975$	−25.2268	−	18.4013i	−0.807904	−	0.589314i
$976$	−10.7945	+	18.6967i	−0.345525	+	0.598467i
$977$	−38.9774	+	22.5036i	−1.24700	+	0.719954i	−0.970509	−	0.241063i	$-0.922504\pi$
$977$	−38.9774	+	22.5036i	−1.24700	+	0.719954i	−0.276488	+	0.961017i	$0.589171\pi$
$978$	−25.8495	+	1.74351i	−0.826575	+	0.0557512i
$979$	−2.30189	+	3.98698i	−0.0735686	+	0.127425i
$980$	−69.2643	+	28.7375i	−2.21257	+	0.917986i
$981$	33.5565	+	4.28837i	1.07138	+	0.136917i
$982$	13.4750	+	23.3394i	0.430004	+	0.744789i
$983$	44.5707	−	25.7329i	1.42158	−	0.820752i	0.425150	−	0.905123i	$-0.360221\pi$
$983$	44.5707	−	25.7329i	1.42158	−	0.820752i	0.996434	+	0.0843704i	$0.0268879\pi$
$984$	−9.68557	+	11.0866i	−0.308765	+	0.353429i
$985$	12.9431	−	16.8881i	0.412401	−	0.538101i
$986$	−76.8937	−	20.6036i	−2.44879	−	0.656152i
$987$	7.45067	−	15.1810i	0.237158	−	0.483216i
$988$	6.65468	−	37.6106i	0.211714	−	1.19655i
$989$			50.4167i			1.60316i
$990$	54.5888	+	14.3713i	1.73494	+	0.456749i
$991$	−7.02534	+	12.1682i	−0.223167	+	0.386537i	−0.955768	−	0.294122i	$-0.904973\pi$
$991$	−7.02534	+	12.1682i	−0.223167	+	0.386537i	0.732601	+	0.680659i	$0.238306\pi$
$992$	2.00725	+	7.49117i	0.0637304	+	0.237845i
$993$	3.65007	−	18.5338i	0.115831	−	0.588152i
$994$	51.3165	−	51.3165i	1.62766	−	1.62766i
$995$	−42.6801	+	17.7078i	−1.35305	+	0.561376i
$996$	−59.9178	+	4.04137i	−1.89857	+	0.128056i
$997$	−14.3082	+	3.83387i	−0.453145	+	0.121420i	−0.478171	−	0.878267i	$-0.658700\pi$
$997$	−14.3082	+	3.83387i	−0.453145	+	0.121420i	0.0250253	+	0.999687i	$0.492033\pi$
$998$	83.2079	−	22.2955i	2.63390	−	0.705752i
$999$	3.29209	−	9.88257i	0.104157	−	0.312671i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	585.2.ca.a.202.7	✓	320
5.3	odd	4		585.2.dv.a.553.7	yes	320
9.7	even	3		585.2.dt.a.7.7	yes	320
13.2	odd	12		585.2.cc.a.67.74	yes	320
45.43	odd	12		585.2.cc.a.358.74	yes	320
65.28	even	12		585.2.dt.a.418.7	yes	320
117.106	odd	12		585.2.dv.a.457.7	yes	320
585.223	even	12	inner	585.2.ca.a.223.74	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
585.2.ca.a.202.7	✓	320	1.1	even	1	trivial
585.2.ca.a.223.74	yes	320	585.223	even	12	inner
585.2.cc.a.67.74	yes	320	13.2	odd	12
585.2.cc.a.358.74	yes	320	45.43	odd	12
585.2.dt.a.7.7	yes	320	9.7	even	3
585.2.dt.a.418.7	yes	320	65.28	even	12
585.2.dv.a.457.7	yes	320	117.106	odd	12
585.2.dv.a.553.7	yes	320	5.3	odd	4

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:	\( N \)	\(=\)	\( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	585.ca (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q-2.49737i q^{2} +(0.763119 - 1.55488i) q^{3} -4.23687 q^{4} +(-0.290573 + 2.21711i) q^{5} +(-3.88311 - 1.90579i) q^{6} +(-1.93102 + 3.34462i) q^{7} +5.58630i q^{8} +(-1.83530 - 2.37312i) q^{9} +O(q^{10})\)	\(q-2.49737i q^{2} +(0.763119 - 1.55488i) q^{3} -4.23687 q^{4} +(-0.290573 + 2.21711i) q^{5} +(-3.88311 - 1.90579i) q^{6} +(-1.93102 + 3.34462i) q^{7} +5.58630i q^{8} +(-1.83530 - 2.37312i) q^{9} +(5.53694 + 0.725669i) q^{10} +(-2.38259 + 2.38259i) q^{11} +(-3.23324 + 6.58782i) q^{12} +(0.312122 + 3.59202i) q^{13} +(8.35277 + 4.82247i) q^{14} +(3.22559 + 2.14372i) q^{15} +5.47733 q^{16} +(-5.97992 - 1.60231i) q^{17} +(-5.92655 + 4.58343i) q^{18} +(2.41508 + 0.647118i) q^{19} +(1.23112 - 9.39360i) q^{20} +(3.72689 + 5.55484i) q^{21} +(5.95023 + 5.95023i) q^{22} +(2.19824 - 8.20396i) q^{23} +(8.68602 + 4.26301i) q^{24} +(-4.83113 - 1.28846i) q^{25} +(8.97060 - 0.779486i) q^{26} +(-5.09046 + 1.04270i) q^{27} +(8.18147 - 14.1707i) q^{28} +5.14887i q^{29} +(5.35367 - 8.05551i) q^{30} +(-2.98889 + 0.800870i) q^{31} -2.50634i q^{32} +(1.88644 + 5.52285i) q^{33} +(-4.00158 + 14.9341i) q^{34} +(-6.85429 - 5.25313i) q^{35} +(7.77593 + 10.0546i) q^{36} +(-1.00233 + 1.73608i) q^{37} +(1.61610 - 6.03135i) q^{38} +(5.82334 + 2.25582i) q^{39} +(-12.3854 - 1.62323i) q^{40} +(-0.393790 + 1.46964i) q^{41} +(13.8725 - 9.30742i) q^{42} +(-5.73374 + 1.53635i) q^{43} +(10.0947 - 10.0947i) q^{44} +(5.79474 - 3.37949i) q^{45} +(-20.4883 - 5.48983i) q^{46} +(-1.26403 - 2.18936i) q^{47} +(4.17986 - 8.51659i) q^{48} +(-3.95766 - 6.85487i) q^{49} +(-3.21777 + 12.0651i) q^{50} +(-7.05480 + 8.07530i) q^{51} +(-1.32242 - 15.2189i) q^{52} +(7.17099 - 7.17099i) q^{53} +(2.60401 + 12.7128i) q^{54} +(-4.59015 - 5.97478i) q^{55} +(-18.6841 - 10.7872i) q^{56} +(2.84918 - 3.26133i) q^{57} +12.8586 q^{58} +(-0.149416 - 0.149416i) q^{59} +(-13.6664 - 9.08268i) q^{60} +(-1.97077 + 3.41347i) q^{61} +(2.00007 + 7.46437i) q^{62} +(11.4812 - 1.55585i) q^{63} +4.69540 q^{64} +(-8.05458 - 0.351733i) q^{65} +(13.7926 - 4.71115i) q^{66} +(-11.4896 + 6.63353i) q^{67} +(25.3362 + 6.78880i) q^{68} +(-11.0786 - 9.67860i) q^{69} +(-13.1190 + 17.1177i) q^{70} +(1.94746 - 7.26802i) q^{71} +(13.2569 - 10.2525i) q^{72} -4.94114i q^{73} +(4.33564 + 2.50318i) q^{74} +(-5.69013 + 6.52858i) q^{75} +(-10.2324 - 2.74176i) q^{76} +(-3.36804 - 12.5697i) q^{77} +(5.63363 - 14.5430i) q^{78} +(2.39745 - 1.38417i) q^{79} +(-1.59156 + 12.1438i) q^{80} +(-2.26335 + 8.71075i) q^{81} +(3.67025 + 0.983440i) q^{82} +(4.09172 + 7.08706i) q^{83} +(-15.7903 - 23.5352i) q^{84} +(5.29011 - 12.7925i) q^{85} +(3.83684 + 14.3193i) q^{86} +(8.00587 + 3.92920i) q^{87} +(-13.3099 - 13.3099i) q^{88} +(1.31975 - 0.353627i) q^{89} +(-8.43986 - 14.4716i) q^{90} +(-12.6166 - 5.89232i) q^{91} +(-9.31367 + 34.7591i) q^{92} +(-1.03562 + 5.25852i) q^{93} +(-5.46766 + 3.15675i) q^{94} +(-2.13649 + 5.16645i) q^{95} +(-3.89706 - 1.91264i) q^{96} +(3.91425 + 2.25989i) q^{97} +(-17.1192 + 9.88376i) q^{98} +(10.0269 + 1.28140i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 2 q^{3} - 304 q^{4} - 2 q^{5} - 8 q^{6} + 2 q^{7} + 12 q^{9}+O(q^{10}) \) 320 * q - 2 * q^3 - 304 * q^4 - 2 * q^5 - 8 * q^6 + 2 * q^7 + 12 * q^9	\( 320 q - 2 q^{3} - 304 q^{4} - 2 q^{5} - 8 q^{6} + 2 q^{7} + 12 q^{9} - 16 q^{10} - 12 q^{11} - 14 q^{12} - 2 q^{13} + 48 q^{14} - 6 q^{15} + 264 q^{16} - 12 q^{17} + 4 q^{18} - 30 q^{20} - 16 q^{21} - 4 q^{22} + 2 q^{23} + 56 q^{24} - 20 q^{27} - 24 q^{28} - 2 q^{30} - 4 q^{31} - 6 q^{33} + 8 q^{34} - 46 q^{35} - 60 q^{36} - 4 q^{37} - 40 q^{38} - 4 q^{39} + 28 q^{40} + 4 q^{41} + 22 q^{42} - 6 q^{43} + 8 q^{44} + 4 q^{45} - 16 q^{46} - 14 q^{47} + 2 q^{48} - 112 q^{49} + 56 q^{50} - 30 q^{52} - 16 q^{53} - 4 q^{55} - 108 q^{56} - 72 q^{57} + 28 q^{58} - 16 q^{59} + 10 q^{60} + 4 q^{61} - 28 q^{62} - 18 q^{63} - 192 q^{64} + 58 q^{65} - 6 q^{67} + 62 q^{68} + 24 q^{69} + 10 q^{70} - 2 q^{72} - 34 q^{75} - 20 q^{76} - 44 q^{77} - 42 q^{78} + 4 q^{80} + 8 q^{81} + 20 q^{82} + 8 q^{83} + 124 q^{84} - 16 q^{85} + 68 q^{86} + 38 q^{87} - 8 q^{88} + 64 q^{90} - 16 q^{91} - 32 q^{92} - 70 q^{93} + 48 q^{94} - 64 q^{96} - 6 q^{97} - 282 q^{98} - 20 q^{99}+O(q^{100}) \) 320 * q - 2 * q^3 - 304 * q^4 - 2 * q^5 - 8 * q^6 + 2 * q^7 + 12 * q^9 - 16 * q^10 - 12 * q^11 - 14 * q^12 - 2 * q^13 + 48 * q^14 - 6 * q^15 + 264 * q^16 - 12 * q^17 + 4 * q^18 - 30 * q^20 - 16 * q^21 - 4 * q^22 + 2 * q^23 + 56 * q^24 - 20 * q^27 - 24 * q^28 - 2 * q^30 - 4 * q^31 - 6 * q^33 + 8 * q^34 - 46 * q^35 - 60 * q^36 - 4 * q^37 - 40 * q^38 - 4 * q^39 + 28 * q^40 + 4 * q^41 + 22 * q^42 - 6 * q^43 + 8 * q^44 + 4 * q^45 - 16 * q^46 - 14 * q^47 + 2 * q^48 - 112 * q^49 + 56 * q^50 - 30 * q^52 - 16 * q^53 - 4 * q^55 - 108 * q^56 - 72 * q^57 + 28 * q^58 - 16 * q^59 + 10 * q^60 + 4 * q^61 - 28 * q^62 - 18 * q^63 - 192 * q^64 + 58 * q^65 - 6 * q^67 + 62 * q^68 + 24 * q^69 + 10 * q^70 - 2 * q^72 - 34 * q^75 - 20 * q^76 - 44 * q^77 - 42 * q^78 + 4 * q^80 + 8 * q^81 + 20 * q^82 + 8 * q^83 + 124 * q^84 - 16 * q^85 + 68 * q^86 + 38 * q^87 - 8 * q^88 + 64 * q^90 - 16 * q^91 - 32 * q^92 - 70 * q^93 + 48 * q^94 - 64 * q^96 - 6 * q^97 - 282 * q^98 - 20 * q^99

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