LMFDB - Embedded newform 532.2.bs.a.67.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [532,2,Mod(67,532)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(532, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 12, 17]))

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

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

chi := DirichletCharacter("532.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 532 = 2^{2} \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	532.bs (of order $18$, degree $6$, 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:	$4.24804138753$
Analytic rank:	$0$
Dimension:	$456$
Relative dimension:	$76$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			67.15
Character	$\chi$	$=$	532.67
Dual form			532.2.bs.a.135.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.13275 - 0.846690i) q^{2} +(-0.274503 - 1.55678i) q^{3} +(0.566233 + 1.91817i) q^{4} +(0.639503 + 3.62680i) q^{5} +(-1.00717 + 1.99586i) q^{6} +(-2.64306 - 0.119203i) q^{7} +(0.982697 - 2.65223i) q^{8} +(0.470853 - 0.171377i) q^{9} +O(q^{10})$	\(q+(-1.13275 - 0.846690i) q^{2} +(-0.274503 - 1.55678i) q^{3} +(0.566233 + 1.91817i) q^{4} +(0.639503 + 3.62680i) q^{5} +(-1.00717 + 1.99586i) q^{6} +(-2.64306 - 0.119203i) q^{7} +(0.982697 - 2.65223i) q^{8} +(0.470853 - 0.171377i) q^{9} +(2.34638 - 4.64971i) q^{10} -0.582609i q^{11} +(2.83075 - 1.40805i) q^{12} +(-1.71043 + 2.03841i) q^{13} +(2.89300 + 2.37288i) q^{14} +(5.47060 - 1.99114i) q^{15} +(-3.35876 + 2.17226i) q^{16} +(-7.19876 - 2.62014i) q^{17} +(-0.678461 - 0.204540i) q^{18} +(-3.57292 - 2.49684i) q^{19} +(-6.59472 + 3.28029i) q^{20} +(0.539957 + 4.14740i) q^{21} +(-0.493289 + 0.659949i) q^{22} +(-3.29423 + 3.92591i) q^{23} +(-4.39870 - 0.801803i) q^{24} +(-8.04625 + 2.92860i) q^{25} +(3.66338 - 0.860800i) q^{26} +(-2.76725 - 4.79301i) q^{27} +(-1.26794 - 5.13735i) q^{28} +(2.50088 + 0.440973i) q^{29} +(-7.88268 - 2.37645i) q^{30} +(-0.0796620 - 0.137979i) q^{31} +(5.64386 + 0.383203i) q^{32} +(-0.906996 + 0.159928i) q^{33} +(5.93594 + 9.06307i) q^{34} +(-1.25792 - 9.66210i) q^{35} +(0.595342 + 0.806138i) q^{36} +(-2.17116 + 1.25352i) q^{37} +(1.93316 + 5.85345i) q^{38} +(3.64288 + 2.10322i) q^{39} +(10.2475 + 1.86794i) q^{40} +(-2.70787 - 3.22711i) q^{41} +(2.89993 - 5.15513i) q^{42} +(-2.78143 + 7.64191i) q^{43} +(1.11754 - 0.329892i) q^{44} +(0.922661 + 1.59810i) q^{45} +(7.05556 - 1.65788i) q^{46} +(-1.59723 - 4.38835i) q^{47} +(4.30373 + 4.63257i) q^{48} +(6.97158 + 0.630120i) q^{49} +(11.5940 + 3.49532i) q^{50} +(-2.10290 + 11.9262i) q^{51} +(-4.87852 - 2.12668i) q^{52} +(-3.66336 - 0.645950i) q^{53} +(-0.923603 + 7.77227i) q^{54} +(2.11301 - 0.372580i) q^{55} +(-2.91348 + 6.89287i) q^{56} +(-2.90627 + 6.24766i) q^{57} +(-2.45950 - 2.61698i) q^{58} +(3.93425 + 1.43195i) q^{59} +(6.91697 + 9.36610i) q^{60} +(1.59223 + 1.33604i) q^{61} +(-0.0265882 + 0.223744i) q^{62} +(-1.26492 + 0.396833i) q^{63} +(-6.06861 - 5.21267i) q^{64} +(-8.48672 - 4.89981i) q^{65} +(1.16281 + 0.586787i) q^{66} +(8.86768 + 7.44087i) q^{67} +(0.949692 - 15.2921i) q^{68} +(7.01608 + 4.05073i) q^{69} +(-6.75589 + 12.0098i) q^{70} +(7.59955 + 2.76601i) q^{71} +(0.00817665 - 1.41722i) q^{72} +(2.17507 + 12.3355i) q^{73} +(3.52073 + 0.418379i) q^{74} +(6.76791 + 11.7224i) q^{75} +(2.76627 - 8.26727i) q^{76} +(-0.0694485 + 1.53987i) q^{77} +(-2.34569 - 5.46680i) q^{78} +(-11.6936 - 4.25613i) q^{79} +(-10.0263 - 10.7924i) q^{80} +(-5.55054 + 4.65745i) q^{81} +(0.334968 + 5.94823i) q^{82} +(-15.4647 - 8.92853i) q^{83} +(-7.64969 + 3.38412i) q^{84} +(4.89908 - 27.7841i) q^{85} +(9.62099 - 6.30135i) q^{86} -4.01438i q^{87} +(-1.54521 - 0.572528i) q^{88} +(-15.1891 - 2.67825i) q^{89} +(0.307949 - 2.59145i) q^{90} +(4.76376 - 5.18376i) q^{91} +(-9.39588 - 4.09592i) q^{92} +(-0.192935 + 0.161892i) q^{93} +(-1.90632 + 6.32325i) q^{94} +(6.77066 - 14.5550i) q^{95} +(-0.952692 - 8.89146i) q^{96} +(3.76841 - 0.664473i) q^{97} +(-7.36352 - 6.61653i) q^{98} +(-0.0998455 - 0.274323i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9}+O(q^{10}) $ 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9	$ 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9} + 15 q^{10} - 36 q^{13} + 15 q^{14} - 3 q^{16} - 6 q^{17} - 24 q^{20} - 18 q^{21} - 6 q^{22} - 12 q^{24} - 6 q^{25} - 6 q^{26} - 27 q^{28} - 24 q^{29} + 3 q^{30} + 12 q^{32} + 66 q^{33} - 12 q^{34} - 81 q^{36} - 72 q^{38} - 33 q^{40} - 36 q^{41} - 87 q^{42} + 12 q^{44} + 6 q^{45} - 45 q^{48} - 6 q^{49} - 45 q^{50} - 3 q^{52} + 6 q^{53} - 39 q^{54} - 24 q^{57} - 42 q^{58} + 66 q^{60} - 18 q^{61} + 3 q^{62} - 6 q^{64} + 18 q^{65} + 75 q^{66} - 39 q^{68} - 36 q^{69} + 9 q^{70} - 54 q^{72} + 30 q^{73} - 57 q^{74} - 84 q^{76} - 18 q^{77} - 9 q^{78} - 3 q^{80} - 24 q^{81} + 117 q^{82} - 9 q^{84} - 78 q^{86} - 9 q^{88} - 30 q^{89} - 48 q^{90} + 30 q^{92} + 42 q^{93} - 57 q^{96} - 24 q^{97} + 60 q^{98}+O(q^{100}) $ 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9 + 15 * q^10 - 36 * q^13 + 15 * q^14 - 3 * q^16 - 6 * q^17 - 24 * q^20 - 18 * q^21 - 6 * q^22 - 12 * q^24 - 6 * q^25 - 6 * q^26 - 27 * q^28 - 24 * q^29 + 3 * q^30 + 12 * q^32 + 66 * q^33 - 12 * q^34 - 81 * q^36 - 72 * q^38 - 33 * q^40 - 36 * q^41 - 87 * q^42 + 12 * q^44 + 6 * q^45 - 45 * q^48 - 6 * q^49 - 45 * q^50 - 3 * q^52 + 6 * q^53 - 39 * q^54 - 24 * q^57 - 42 * q^58 + 66 * q^60 - 18 * q^61 + 3 * q^62 - 6 * q^64 + 18 * q^65 + 75 * q^66 - 39 * q^68 - 36 * q^69 + 9 * q^70 - 54 * q^72 + 30 * q^73 - 57 * q^74 - 84 * q^76 - 18 * q^77 - 9 * q^78 - 3 * q^80 - 24 * q^81 + 117 * q^82 - 9 * q^84 - 78 * q^86 - 9 * q^88 - 30 * q^89 - 48 * q^90 + 30 * q^92 + 42 * q^93 - 57 * q^96 - 24 * q^97 + 60 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/532\mathbb{Z}\right)^\times$.

$n$	$267$	$381$	$477$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{17}{18}\right)$

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 $

$2$	−1.13275	−	0.846690i	−0.800973	−	0.598700i
$2$	−1.13275	−	0.846690i	−0.800973	−	0.598700i
$3$	−0.274503	−	1.55678i	−0.158484	−	0.898810i	−0.955531	−	0.294892i	$-0.904716\pi$
$3$	−0.274503	−	1.55678i	−0.158484	−	0.898810i	0.797046	−	0.603918i	$-0.206395\pi$
$4$	0.566233	+	1.91817i	0.283116	+	0.959086i
$5$	0.639503	+	3.62680i	0.285994	+	1.62195i	0.701712	+	0.712461i	$0.252419\pi$
$5$	0.639503	+	3.62680i	0.285994	+	1.62195i	−0.415718	+	0.909494i	$0.636470\pi$
$6$	−1.00717	+	1.99586i	−0.411176	+	0.814807i
$7$	−2.64306	−	0.119203i	−0.998985	−	0.0450543i
$7$	−2.64306	−	0.119203i	−0.998985	−	0.0450543i
$8$	0.982697	−	2.65223i	0.347436	−	0.937704i
$9$	0.470853	−	0.171377i	0.156951	−	0.0571255i
$10$	2.34638	−	4.64971i	0.741990	−	1.47037i
$11$		−	0.582609i		−	0.175663i	−0.996135	−	0.0878316i	$-0.972006\pi$
$11$		−	0.582609i		−	0.175663i	0.996135	−	0.0878316i	$-0.0279937\pi$
$12$	2.83075	−	1.40805i	0.817166	−	0.406468i
$13$	−1.71043	+	2.03841i	−0.474387	+	0.565353i	−0.949176	−	0.314747i	$-0.898080\pi$
$13$	−1.71043	+	2.03841i	−0.474387	+	0.565353i	0.474788	+	0.880100i	$0.342525\pi$
$14$	2.89300	+	2.37288i	0.773186	+	0.634179i
$15$	5.47060	−	1.99114i	1.41250	−	0.514109i
$16$	−3.35876	+	2.17226i	−0.839690	+	0.543066i
$17$	−7.19876	−	2.62014i	−1.74596	−	0.635476i	−0.746407	−	0.665489i	$-0.768223\pi$
$17$	−7.19876	−	2.62014i	−1.74596	−	0.635476i	−0.999550	+	0.0300129i	$0.990445\pi$
$18$	−0.678461	−	0.204540i	−0.159915	−	0.0482106i
$19$	−3.57292	−	2.49684i	−0.819684	−	0.572815i
$19$	−3.57292	−	2.49684i	−0.819684	−	0.572815i
$20$	−6.59472	+	3.28029i	−1.47462	+	0.733495i
$21$	0.539957	+	4.14740i	0.117828	+	0.905037i
$22$	−0.493289	+	0.659949i	−0.105170	+	0.140702i
$23$	−3.29423	+	3.92591i	−0.686895	+	0.818610i	−0.990976	−	0.134036i	$-0.957206\pi$
$23$	−3.29423	+	3.92591i	−0.686895	+	0.818610i	0.304081	+	0.952646i	$0.401651\pi$
$24$	−4.39870	−	0.801803i	−0.897880	−	0.163667i
$25$	−8.04625	+	2.92860i	−1.60925	+	0.585719i
$26$	3.66338	−	0.860800i	0.718448	−	0.168817i
$27$	−2.76725	−	4.79301i	−0.532557	−	0.922416i
$28$	−1.26794	−	5.13735i	−0.239618	−	0.970867i
$29$	2.50088	+	0.440973i	0.464402	+	0.0818866i	0.400953	−	0.916099i	$-0.368679\pi$
$29$	2.50088	+	0.440973i	0.464402	+	0.0818866i	0.0634487	+	0.997985i	$0.479790\pi$
$30$	−7.88268	−	2.37645i	−1.43917	−	0.433878i
$31$	−0.0796620	−	0.137979i	−0.0143077	−	0.0247817i	0.858783	−	0.512340i	$-0.171221\pi$
$31$	−0.0796620	−	0.137979i	−0.0143077	−	0.0247817i	−0.873091	+	0.487558i	$0.837888\pi$
$32$	5.64386	+	0.383203i	0.997703	+	0.0677414i
$33$	−0.906996	+	0.159928i	−0.157888	+	0.0278399i
$34$	5.93594	+	9.06307i	1.01801	+	1.55430i
$35$	−1.25792	−	9.66210i	−0.212628	−	1.63319i
$36$	0.595342	+	0.806138i	0.0992237	+	0.134356i
$37$	−2.17116	+	1.25352i	−0.356937	+	0.206078i	−0.667736	−	0.744398i	$-0.732737\pi$
$37$	−2.17116	+	1.25352i	−0.356937	+	0.206078i	0.310799	+	0.950476i	$0.399403\pi$
$38$	1.93316	+	5.85345i	0.313601	+	0.949555i
$39$	3.64288	+	2.10322i	0.583328	+	0.336784i
$40$	10.2475	+	1.86794i	1.62028	+	0.295347i
$41$	−2.70787	−	3.22711i	−0.422898	−	0.503991i	0.511961	−	0.859009i	$-0.328919\pi$
$41$	−2.70787	−	3.22711i	−0.422898	−	0.503991i	−0.934859	+	0.355018i	$0.884475\pi$
$42$	2.89993	−	5.15513i	0.447469	−	0.795455i
$43$	−2.78143	+	7.64191i	−0.424164	+	1.16538i	0.525139	+	0.851017i	$0.324013\pi$
$43$	−2.78143	+	7.64191i	−0.424164	+	1.16538i	−0.949303	+	0.314364i	$0.898209\pi$
$44$	1.11754	−	0.329892i	0.168476	−	0.0497331i
$45$	0.922661	+	1.59810i	0.137542	+	0.238230i
$46$	7.05556	−	1.65788i	1.04029	−	0.244440i
$47$	−1.59723	−	4.38835i	−0.232980	−	0.640107i	0.767019	−	0.641624i	$-0.221739\pi$
$47$	−1.59723	−	4.38835i	−0.232980	−	0.640107i	−0.999999	+	0.00151752i	$0.999517\pi$
$48$	4.30373	+	4.63257i	0.621191	+	0.668654i
$49$	6.97158	+	0.630120i	0.995940	+	0.0900171i
$50$	11.5940	+	3.49532i	1.63964	+	0.494313i
$51$	−2.10290	+	11.9262i	−0.294465	+	1.67000i
$52$	−4.87852	−	2.12668i	−0.676529	−	0.294917i
$53$	−3.66336	−	0.645950i	−0.503202	−	0.0887280i	−0.0837153	−	0.996490i	$-0.526679\pi$
$53$	−3.66336	−	0.645950i	−0.503202	−	0.0887280i	−0.419486	+	0.907762i	$0.637790\pi$
$54$	−0.923603	+	7.77227i	−0.125686	+	1.05767i
$55$	2.11301	−	0.372580i	0.284918	−	0.0502387i
$56$	−2.91348	+	6.89287i	−0.389331	+	0.921098i
$57$	−2.90627	+	6.24766i	−0.384945	+	0.827523i
$58$	−2.45950	−	2.61698i	−0.322948	−	0.343626i
$59$	3.93425	+	1.43195i	0.512196	+	0.186424i	0.585172	−	0.810910i	$-0.301027\pi$
$59$	3.93425	+	1.43195i	0.512196	+	0.186424i	−0.0729752	+	0.997334i	$0.523249\pi$
$60$	6.91697	+	9.36610i	0.892977	+	1.20916i
$61$	1.59223	+	1.33604i	0.203864	+	0.171062i	0.739003	−	0.673702i	$-0.235297\pi$
$61$	1.59223	+	1.33604i	0.203864	+	0.171062i	−0.535140	+	0.844763i	$0.679741\pi$
$62$	−0.0265882	+	0.223744i	−0.00337670	+	0.0284155i
$63$	−1.26492	+	0.396833i	−0.159365	+	0.0499962i
$64$	−6.06861	−	5.21267i	−0.758577	−	0.651584i
$65$	−8.48672	−	4.89981i	−1.05265	−	0.607747i
$66$	1.16281	+	0.586787i	0.143132	+	0.0722284i
$67$	8.86768	+	7.44087i	1.08336	+	0.909047i	0.996195	−	0.0871470i	$-0.0277750\pi$
$67$	8.86768	+	7.44087i	1.08336	+	0.909047i	0.0871645	+	0.996194i	$0.472219\pi$
$68$	0.949692	−	15.2921i	0.115167	−	1.85444i
$69$	7.01608	+	4.05073i	0.844636	+	0.487651i
$70$	−6.75589	+	12.0098i	−0.807483	+	1.43544i
$71$	7.59955	+	2.76601i	0.901901	+	0.328265i	0.751014	−	0.660286i	$-0.229565\pi$
$71$	7.59955	+	2.76601i	0.901901	+	0.328265i	0.150887	+	0.988551i	$0.451787\pi$
$72$	0.00817665	−	1.41722i	0.000963627	−	0.167021i
$73$	2.17507	+	12.3355i	0.254573	+	1.44376i	0.797166	+	0.603760i	$0.206331\pi$
$73$	2.17507	+	12.3355i	0.254573	+	1.44376i	−0.542593	+	0.839996i	$0.682557\pi$
$74$	3.52073	+	0.418379i	0.409276	+	0.0486355i
$75$	6.76791	+	11.7224i	0.781491	+	1.35358i
$76$	2.76627	−	8.26727i	0.317313	−	0.948321i
$77$	−0.0694485	+	1.53987i	−0.00791439	+	0.175485i
$78$	−2.34569	−	5.46680i	−0.265597	−	0.618994i
$79$	−11.6936	−	4.25613i	−1.31563	−	0.478852i	−0.413577	−	0.910469i	$-0.635721\pi$
$79$	−11.6936	−	4.25613i	−1.31563	−	0.478852i	−0.902057	+	0.431617i	$0.857943\pi$
$80$	−10.0263	−	10.7924i	−1.12097	−	1.20663i
$81$	−5.55054	+	4.65745i	−0.616726	+	0.517495i
$82$	0.334968	+	5.94823i	0.0369910	+	0.656872i
$83$	−15.4647	−	8.92853i	−1.69747	−	0.980034i	−0.948150	−	0.317823i	$-0.897048\pi$
$83$	−15.4647	−	8.92853i	−1.69747	−	0.980034i	−0.749318	−	0.662210i	$-0.769618\pi$
$84$	−7.64969	+	3.38412i	−0.834649	+	0.369238i
$85$	4.89908	−	27.7841i	0.531380	−	3.01361i
$86$	9.62099	−	6.30135i	1.03746	−	0.679492i
$87$		−	4.01438i		−	0.430387i
$88$	−1.54521	−	0.572528i	−0.164720	−	0.0610317i
$89$	−15.1891	−	2.67825i	−1.61004	−	0.283894i	−0.704998	−	0.709210i	$-0.749052\pi$
$89$	−15.1891	−	2.67825i	−1.61004	−	0.283894i	−0.905045	+	0.425316i	$0.860163\pi$
$90$	0.307949	−	2.59145i	0.0324607	−	0.273162i
$91$	4.76376	−	5.18376i	0.499377	−	0.543406i
$92$	−9.39588	−	4.09592i	−0.979588	−	0.427029i
$93$	−0.192935	+	0.161892i	−0.0200065	+	0.0167874i
$94$	−1.90632	+	6.32325i	−0.196621	+	0.652194i
$95$	6.77066	−	14.5550i	0.694656	−	1.49331i
$96$	−0.952692	−	8.89146i	−0.0972337	−	0.907481i
$97$	3.76841	−	0.664473i	0.382625	−	0.0674670i	0.0209722	−	0.999780i	$-0.493324\pi$
$97$	3.76841	−	0.664473i	0.382625	−	0.0674670i	0.361652	+	0.932313i	$0.382213\pi$
$98$	−7.36352	−	6.61653i	−0.743828	−	0.668371i
$99$	−0.0998455	−	0.274323i	−0.0100349	−	0.0275705i
$100$	−10.1736	−	13.7758i	−1.01736	−	1.37758i
$101$	9.86840	−	3.59181i	0.981943	−	0.357398i	0.199348	−	0.979929i	$-0.436118\pi$
$101$	9.86840	−	3.59181i	0.981943	−	0.357398i	0.782595	+	0.622531i	$0.213895\pi$
$102$	12.4798	−	11.7288i	1.23569	−	1.16133i
$103$	−9.00420	+	15.5957i	−0.887210	+	1.53669i	−0.0440509	+	0.999029i	$0.514026\pi$
$103$	−9.00420	+	15.5957i	−0.887210	+	1.53669i	−0.843159	+	0.537664i	$0.819307\pi$
$104$	3.72549	+	6.53958i	0.365314	+	0.641259i
$105$	−14.6965	+	4.61059i	−1.43423	+	0.449948i
$106$	3.60275	+	3.83343i	0.349930	+	0.372336i
$107$	3.33494			0.322401			0.161201	−	0.986922i	$-0.448463\pi$
$107$	3.33494			0.322401			0.161201	+	0.986922i	$0.448463\pi$
$108$	7.62691	−	8.02201i	0.733900	−	0.771919i
$109$	3.85256	+	4.59130i	0.369008	+	0.439767i	0.918313	−	0.395855i	$-0.129552\pi$
$109$	3.85256	+	4.59130i	0.369008	+	0.439767i	−0.549305	+	0.835622i	$0.685107\pi$
$110$	−2.70896	−	1.36702i	−0.258289	−	0.130340i
$111$	2.54745	+	3.03594i	0.241794	+	0.288159i
$112$	9.13636	−	5.34106i	0.863305	−	0.504683i
$113$		−	2.04264i		−	0.192156i	−0.995374	−	0.0960779i	$-0.969370\pi$
$113$		−	2.04264i		−	0.192156i	0.995374	−	0.0960779i	$-0.0306298\pi$
$114$	8.58190	−	4.61631i	0.803768	−	0.432357i
$115$	−16.3452	−	9.43689i	−1.52420	−	0.879995i
$116$	0.570220	+	5.04681i	0.0529436	+	0.468585i
$117$	−0.456025	+	1.25292i	−0.0421595	+	0.115832i
$118$	−3.24410	−	4.95313i	−0.298643	−	0.455973i
$119$	18.7145	+	7.78330i	1.71555	+	0.713494i
$120$	0.0950002	−	16.4660i	0.00867229	−	1.50313i
$121$	10.6606			0.969142
$122$	−0.672381	−	2.86151i	−0.0608745	−	0.259069i
$123$	−4.28060	+	5.10142i	−0.385969	+	0.459980i
$124$	0.219559	−	0.230933i	0.0197170	−	0.0207384i
$125$	−6.56016	−	11.3625i	−0.586759	−	1.01630i
$126$	1.76883	+	0.621488i	0.157580	+	0.0553665i
$127$	0.0540512	+	0.0453544i	0.00479627	+	0.00402455i	0.645183	−	0.764028i	$-0.276781\pi$
$127$	0.0540512	+	0.0453544i	0.00479627	+	0.00402455i	−0.640386	+	0.768053i	$0.721226\pi$
$128$	2.46069	+	11.0429i	0.217496	+	0.976061i
$129$	12.6603	+	2.23236i	1.11468	+	0.196548i
$130$	5.46469	+	12.7359i	0.479285	+	1.11701i
$131$	1.43168	+	1.70621i	0.125087	+	0.149072i	0.824953	−	0.565201i	$-0.191202\pi$
$131$	1.43168	+	1.70621i	0.125087	+	0.149072i	−0.699866	+	0.714274i	$0.746757\pi$
$132$	−0.820340	−	1.64922i	−0.0714015	−	0.143546i
$133$	9.14583	+	7.02522i	0.793044	+	0.609164i
$134$	−3.74474	−	15.9368i	−0.323496	−	1.37673i
$135$	15.6136	−	13.1014i	1.34381	−	1.12759i
$136$	−14.0234	+	16.5180i	−1.20250	+	1.41640i
$137$	2.28831	−	12.9777i	0.195504	−	1.10876i	−0.716196	−	0.697899i	$-0.754118\pi$
$137$	2.28831	−	12.9777i	0.195504	−	1.10876i	0.911700	−	0.410857i	$-0.134771\pi$
$138$	−4.51773	−	10.5289i	−0.384574	−	0.896279i
$139$	3.15182	−	3.75619i	0.267334	−	0.318596i	−0.615632	−	0.788034i	$-0.711099\pi$
$139$	3.15182	−	3.75619i	0.267334	−	0.318596i	0.882965	+	0.469438i	$0.155544\pi$
$140$	17.8213	−	7.88391i	1.50617	−	0.666312i
$141$	−6.39327	+	3.69116i	−0.538411	+	0.310851i
$142$	−6.26642	−	9.56765i	−0.525866	−	0.802900i
$143$	1.18760	+	0.996511i	0.0993117	+	0.0833324i
$144$	−1.20921	+	1.59843i	−0.100767	+	0.133203i
$145$			9.35220i			0.776658i
$146$	7.98049	−	15.8146i	0.660470	−	1.30882i
$147$	−0.932759	−	11.0262i	−0.0769327	−	0.909427i
$148$	−3.63385	−	3.45488i	−0.298701	−	0.283989i
$149$	−4.91379	−	1.78847i	−0.402553	−	0.146517i	0.132806	−	0.991142i	$-0.457601\pi$
$149$	−4.91379	−	1.78847i	−0.402553	−	0.146517i	−0.535359	+	0.844625i	$0.679824\pi$
$150$	2.25888	−	19.0088i	0.184436	−	1.55206i
$151$	−7.41345	+	12.8405i	−0.603298	+	1.04494i	0.389020	+	0.921229i	$0.372814\pi$
$151$	−7.41345	+	12.8405i	−0.603298	+	1.04494i	−0.992318	+	0.123714i	$0.960520\pi$
$152$	−10.1333	+	7.02255i	−0.821919	+	0.569604i
$153$	−3.83859			−0.310332
$154$	1.38246	−	1.68549i	0.111402	−	0.135820i
$155$	0.449477	−	0.377156i	0.0361028	−	0.0302939i
$156$	−1.97161	+	8.17858i	−0.157855	+	0.654810i
$157$	2.54950	−	2.13929i	0.203473	−	0.170734i	−0.535357	−	0.844626i	$-0.679823\pi$
$157$	2.54950	−	2.13929i	0.203473	−	0.170734i	0.738830	+	0.673892i	$0.235379\pi$
$158$	9.64229	+	14.7220i	0.767099	+	1.17122i
$159$			5.88038i			0.466344i
$160$	2.21946	+	20.7142i	0.175464	+	1.63760i
$161$	9.17485	−	9.98376i	0.723079	−	0.786831i
$162$	10.2308	−	0.576135i	0.803806	−	0.0452654i
$163$	−5.50977	−	3.18107i	−0.431559	−	0.249160i	0.268452	−	0.963293i	$-0.413488\pi$
$163$	−5.50977	−	3.18107i	−0.431559	−	0.249160i	−0.700010	+	0.714133i	$0.746821\pi$
$164$	4.65687	−	7.02146i	0.363641	−	0.548284i
$165$	−1.16005	−	3.18722i	−0.0903100	−	0.248125i
$166$	9.95787	+	23.2075i	0.772880	+	1.80125i
$167$	9.92706	−	3.61315i	0.768179	−	0.279594i	0.0719444	−	0.997409i	$-0.477080\pi$
$167$	9.92706	−	3.61315i	0.768179	−	0.279594i	0.696235	+	0.717814i	$0.254857\pi$
$168$	11.5305	+	2.64355i	0.889595	+	0.203955i
$169$	1.02788	+	5.82940i	0.0790677	+	0.448415i
$170$	−29.0739	+	27.3243i	−2.22987	+	2.09568i
$171$	−2.11022	−	0.563333i	−0.161373	−	0.0430791i
$172$	−16.2334	−	1.00815i	−1.23779	−	0.0768711i
$173$	−16.2040	−	19.3112i	−1.23197	−	1.46820i	−0.834888	−	0.550420i	$-0.814468\pi$
$173$	−16.2040	−	19.3112i	−1.23197	−	1.46820i	−0.397081	−	0.917784i	$-0.629977\pi$
$174$	−3.39893	+	4.54728i	−0.257673	+	0.344728i
$175$	21.6159	−	6.78134i	1.63401	−	0.512621i
$176$	1.26558	+	1.95684i	0.0953967	+	0.147503i
$177$	1.14927	−	6.51786i	0.0863848	−	0.489912i
$178$	14.9378	+	15.8942i	1.11963	+	1.19132i
$179$	−5.57053			−0.416361			−0.208181	−	0.978090i	$-0.566754\pi$
$179$	−5.57053			−0.416361			−0.208181	+	0.978090i	$0.566754\pi$
$180$	−2.54298	+	2.67472i	−0.189542	+	0.199362i
$181$	14.3790	+	2.53540i	1.06878	+	0.188455i	0.680250	−	0.732980i	$-0.261871\pi$
$181$	14.3790	+	2.53540i	1.06878	+	0.188455i	0.388532	+	0.921435i	$0.372982\pi$
$182$	−9.78517	+	1.83847i	−0.725325	+	0.136276i
$183$	1.64285	−	2.84550i	0.121443	−	0.210345i
$184$	7.17518	+	12.5950i	0.528961	+	0.928518i
$185$	−5.93474	−	7.07275i	−0.436331	−	0.519999i
$186$	0.355619	−	0.0200263i	0.0260753	−	0.00146840i
$187$	−1.52651	+	4.19406i	−0.111630	+	0.306700i
$188$	7.51321	−	5.54859i	0.547957	−	0.404672i
$189$	6.74267	+	12.9981i	0.490457	+	0.945473i
$190$	−19.9930	+	10.7545i	−1.45045	+	0.780213i
$191$	0.391496	−	0.226030i	0.0283277	−	0.0163550i	−0.485769	−	0.874087i	$-0.661460\pi$
$191$	0.391496	−	0.226030i	0.0283277	−	0.0163550i	0.514097	+	0.857732i	$0.328127\pi$
$192$	−6.44915	+	10.8784i	−0.465427	+	0.785082i
$193$	11.5550	−	2.03747i	0.831750	−	0.146660i	0.258470	−	0.966019i	$-0.416782\pi$
$193$	11.5550	−	2.03747i	0.831750	−	0.146660i	0.573280	+	0.819359i	$0.305671\pi$
$194$	−4.83126	−	2.43800i	−0.346865	−	0.175038i
$195$	−5.29832	+	14.5570i	−0.379420	+	1.04245i
$196$	2.73886	+	13.7295i	0.195633	+	0.980677i
$197$	0.980740	−	1.69869i	0.0698748	−	0.121027i	−0.828971	−	0.559291i	$-0.811073\pi$
$197$	0.980740	−	1.69869i	0.0698748	−	0.121027i	0.898846	+	0.438264i	$0.144407\pi$
$198$	−0.119167	+	0.395277i	−0.00846883	+	0.0280911i
$199$	−14.4595	+	17.2321i	−1.02501	+	1.22155i	−0.0501444	+	0.998742i	$0.515968\pi$
$199$	−14.4595	+	17.2321i	−1.02501	+	1.22155i	−0.974861	+	0.222812i	$0.928476\pi$
$200$	−0.139728	+	24.2184i	−0.00988026	+	1.71250i
$201$	9.14962	−	15.8476i	0.645365	−	1.11780i
$202$	−14.2196	−	4.28687i	−1.00048	−	0.301623i
$203$	−6.55742	−	1.46363i	−0.460241	−	0.102727i
$204$	−24.0671	+	2.71925i	−1.68504	+	0.190386i
$205$	9.97241	−	11.8847i	0.696503	−	0.830060i
$206$	23.4042	−	10.0423i	1.63065	−	0.699677i
$207$	−0.878291	+	2.41308i	−0.0610454	+	0.167721i
$208$	1.31696	−	10.5620i	0.0913147	−	0.732345i
$209$	−1.45468	+	2.08162i	−0.100623	+	0.143988i
$210$	20.5512	+	7.22074i	1.41816	+	0.498278i
$211$	−2.79667	−	15.8607i	−0.192531	−	1.09190i	−0.915892	−	0.401425i	$-0.868515\pi$
$211$	−2.79667	−	15.8607i	−0.192531	−	1.09190i	0.723361	−	0.690470i	$-0.242596\pi$
$212$	−0.835274	−	7.39271i	−0.0573669	−	0.507734i
$213$	2.21998	−	12.5901i	0.152111	−	0.862662i
$214$	−3.77765	−	2.82366i	−0.258235	−	0.193022i
$215$	−29.4944	−	5.20066i	−2.01150	−	0.354682i
$216$	−15.4315	+	2.62929i	−1.04998	+	0.178900i
$217$	0.194104	+	0.374182i	0.0131767	+	0.0254011i
$218$	−0.476568	−	8.46270i	−0.0322772	−	0.573166i
$219$	18.6066	−	6.77224i	1.25732	−	0.457625i
$220$	1.91113	+	3.84214i	0.128848	+	0.259037i
$221$	17.6539	−	10.1925i	1.18753	−	0.685620i
$222$	−0.315124	−	5.59585i	−0.0211498	−	0.375569i
$223$	16.1419	+	5.87517i	1.08094	+	0.393430i	0.820258	−	0.571994i	$-0.193830\pi$
$223$	16.1419	+	5.87517i	1.08094	+	0.393430i	0.260683	+	0.965424i	$0.416052\pi$
$224$	−14.8714	−	1.68559i	−0.993638	−	0.112623i
$225$	−3.28671	+	2.75788i	−0.219114	+	0.183859i
$226$	−1.72949	+	2.31380i	−0.115044	+	0.153912i
$227$	4.42551	−	7.66520i	0.293731	−	0.508757i	−0.680958	−	0.732323i	$-0.738436\pi$
$227$	4.42551	−	7.66520i	0.293731	−	0.508757i	0.974689	+	0.223565i	$0.0717696\pi$
$228$	−13.6297	−	2.03709i	−0.902649	−	0.134910i
$229$	−6.90520	−	11.9602i	−0.456309	−	0.790350i	0.542454	−	0.840086i	$-0.317495\pi$
$229$	−6.90520	−	11.9602i	−0.456309	−	0.790350i	−0.998762	+	0.0497359i	$0.984162\pi$
$230$	10.5248	+	24.5289i	0.693987	+	1.61739i
$231$	2.41631	−	0.314584i	0.158982	−	0.0206981i
$232$	3.62717	−	6.19956i	0.238135	−	0.407021i
$233$	1.39565	+	7.91511i	0.0914319	+	0.518536i	0.995782	+	0.0917458i	$0.0292447\pi$
$233$	1.39565	+	7.91511i	0.0914319	+	0.518536i	−0.904351	+	0.426791i	$0.859644\pi$
$234$	1.57739	−	1.03313i	0.103118	−	0.0675377i
$235$	14.8942	−	8.59919i	0.971593	−	0.560950i
$236$	−0.519024	+	8.35739i	−0.0337856	+	0.544020i
$237$	−3.41594	+	19.3727i	−0.221889	+	1.25840i
$238$	−14.6087	−	24.6619i	−0.946943	−	1.59859i
$239$	−8.33499	+	4.81221i	−0.539146	+	0.311276i	−0.744733	−	0.667363i	$-0.767423\pi$
$239$	−8.33499	+	4.81221i	−0.539146	+	0.311276i	0.205587	+	0.978639i	$0.434090\pi$
$240$	−14.0492	+	18.5713i	−0.906870	+	1.19877i
$241$	−2.83890	−	7.79981i	−0.182869	−	0.502430i	0.814056	−	0.580787i	$-0.197255\pi$
$241$	−2.83890	−	7.79981i	−0.182869	−	0.502430i	−0.996925	+	0.0783568i	$0.975033\pi$
$242$	−12.0757	−	9.02619i	−0.776257	−	0.580226i
$243$	−3.94472	−	3.31001i	−0.253054	−	0.212337i
$244$	−1.66117	+	3.81067i	−0.106346	+	0.243953i
$245$	2.17303	+	25.6875i	0.138830	+	1.64111i
$246$	9.16816	−	2.15428i	0.584541	−	0.137352i
$247$	11.2008	−	3.01240i	0.712691	−	0.191674i
$248$	−0.444234	+	0.0756905i	−0.0282089	+	0.00480635i
$249$	−9.65470	+	26.5261i	−0.611841	+	1.68102i
$250$	−2.18954	+	18.4253i	−0.138478	+	1.16532i
$251$	−2.55950	−	7.03217i	−0.161554	−	0.443867i	0.832332	−	0.554278i	$-0.187005\pi$
$251$	−2.55950	−	7.03217i	−0.161554	−	0.443867i	−0.993886	+	0.110411i	$0.964783\pi$
$252$	−1.47743	−	2.20164i	−0.0930696	−	0.138690i
$253$	2.28727	+	1.91925i	0.143800	+	0.120662i
$254$	−0.0228253	−	0.0971396i	−0.00143219	−	0.00609508i
$255$	−44.5986			−2.79287
$256$	6.56255	−	14.5922i	0.410159	−	0.912014i
$257$	7.41034	+	20.3597i	0.462244	+	1.27001i	0.923793	+	0.382891i	$0.125072\pi$
$257$	7.41034	+	20.3597i	0.462244	+	1.27001i	−0.461549	+	0.887115i	$0.652706\pi$
$258$	−12.4508	−	13.2481i	−0.775155	−	0.824788i
$259$	5.88795	−	3.05433i	0.365859	−	0.189787i
$260$	4.59322	−	19.0534i	0.284859	−	1.18164i
$261$	1.25312	−	0.220959i	0.0775662	−	0.0136770i
$262$	−0.177101	−	3.14490i	−0.0109414	−	0.194292i
$263$	18.5036	−	3.26269i	1.14098	−	0.201186i	0.428947	−	0.903330i	$-0.358885\pi$
$263$	18.5036	−	3.26269i	1.14098	−	0.201186i	0.712035	+	0.702144i	$0.247774\pi$
$264$	−0.467138	+	2.56272i	−0.0287503	+	0.157725i
$265$		−	13.6994i		−	0.841546i
$266$	−4.41173	−	15.7015i	−0.270501	−	0.962720i
$267$			24.3814i			1.49211i
$268$	−9.25169	+	21.2230i	−0.565137	+	1.29640i
$269$	12.1655	−	2.14511i	0.741746	−	0.130790i	0.210009	−	0.977699i	$-0.432651\pi$
$269$	12.1655	−	2.14511i	0.741746	−	0.130790i	0.531737	+	0.846910i	$0.321539\pi$
$270$	−28.7791	+	1.62067i	−1.75144	+	0.0986305i
$271$	−10.6830	+	1.88371i	−0.648948	+	0.114427i	−0.488426	−	0.872605i	$-0.662429\pi$
$271$	−10.6830	+	1.88371i	−0.648948	+	0.114427i	−0.160522	+	0.987032i	$0.551318\pi$
$272$	29.8706	−	6.83720i	1.81117	−	0.414566i
$273$	−9.37766	−	5.99318i	−0.567562	−	0.362724i
$274$	−13.5801	+	12.7629i	−0.820406	+	0.771036i
$275$	1.70623	+	4.68782i	0.102889	+	0.282686i
$276$	−3.79727	+	15.7517i	−0.228569	+	0.948141i
$277$	−7.89395			−0.474301			−0.237151	−	0.971473i	$-0.576214\pi$
$277$	−7.89395			−0.474301			−0.237151	+	0.971473i	$0.576214\pi$
$278$	−6.75054	+	1.58620i	−0.404870	+	0.0951340i
$279$	−0.0611554	−	0.0513155i	−0.00366128	−	0.00307218i
$280$	−26.8622	−	6.15862i	−1.60533	−	0.368048i
$281$	8.72892	+	23.9825i	0.520724	+	1.43068i	0.869717	+	0.493552i	$0.164302\pi$
$281$	8.72892	+	23.9825i	0.520724	+	1.43068i	−0.348993	+	0.937125i	$0.613476\pi$
$282$	10.3672	+	1.23197i	0.617359	+	0.0733627i
$283$	1.19466	−	3.28230i	0.0710152	−	0.195113i	−0.899107	−	0.437728i	$-0.855783\pi$
$283$	1.19466	−	3.28230i	0.0710152	−	0.195113i	0.970122	+	0.242616i	$0.0780054\pi$
$284$	−1.00257	+	16.1434i	−0.0594913	+	0.957937i
$285$	−24.5176	−	6.54507i	−1.45230	−	0.387696i
$286$	−0.501510	−	2.13432i	−0.0296549	−	0.126205i
$287$	6.77240	+	8.85226i	0.399762	+	0.522532i
$288$	2.72310	−	0.786793i	0.160460	−	0.0463622i
$289$	31.9343	+	26.7961i	1.87849	+	1.57624i
$290$	7.91841	−	10.5937i	0.464985	−	0.622082i
$291$	−2.06888	−	5.68421i	−0.121280	−	0.333214i
$292$	−22.4299	+	11.1569i	−1.31261	+	0.652908i
$293$	14.6653	−	8.46702i	0.856757	−	0.494649i	−0.00616815	−	0.999981i	$-0.501963\pi$
$293$	14.6653	−	8.46702i	0.856757	−	0.494649i	0.862925	+	0.505332i	$0.168630\pi$
$294$	−8.27920	+	13.2797i	−0.482853	+	0.774486i
$295$	−2.67744	+	15.1845i	−0.155886	+	0.884075i
$296$	1.19103	+	6.99025i	0.0692271	+	0.406300i
$297$	−2.79245	+	1.61222i	−0.162034	+	0.0935507i
$298$	4.05180	+	6.18634i	0.234714	+	0.358365i
$299$	−2.36807	−	13.4300i	−0.136949	−	0.776676i
$300$	−18.6533	+	19.6196i	−1.07695	+	1.13274i
$301$	8.26243	−	19.8665i	0.476239	−	1.14509i
$302$	19.2695	−	8.26812i	1.10883	−	0.475777i
$303$	−8.30057	−	14.3770i	−0.476855	−	0.825938i
$304$	17.4244	+	0.624980i	0.999357	+	0.0358451i
$305$	−3.82730	+	6.62908i	−0.219151	+	0.379580i
$306$	4.34816	+	3.25010i	0.248568	+	0.185796i
$307$	0.230787	−	0.193653i	0.0131717	−	0.0110524i	−0.636178	−	0.771542i	$-0.719486\pi$
$307$	0.230787	−	0.193653i	0.0131717	−	0.0110524i	0.649350	+	0.760490i	$0.275041\pi$
$308$	−2.99306	+	0.738713i	−0.170546	+	0.0420921i
$309$	26.7509	+	9.73652i	1.52180	+	0.553891i
$310$	−0.828478	+	0.0466548i	−0.0470544	+	0.00264982i
$311$	−28.2470	+	16.3084i	−1.60174	+	0.924766i	−0.610603	+	0.791937i	$0.709073\pi$
$311$	−28.2470	+	16.3084i	−1.60174	+	0.924766i	−0.991139	+	0.132829i	$0.957594\pi$
$312$	9.15806	−	7.59492i	0.518473	−	0.429978i
$313$	−4.57888	+	1.66657i	−0.258813	+	0.0942004i	−0.468168	−	0.883639i	$-0.655086\pi$
$313$	−4.57888	+	1.66657i	−0.258813	+	0.0942004i	0.209355	+	0.977840i	$0.432864\pi$
$314$	−4.69926	+	0.264634i	−0.265195	+	0.0149341i
$315$	−2.24815	−	4.33385i	−0.126669	−	0.244185i
$316$	1.54267	−	24.8403i	0.0867821	−	1.39738i
$317$	−0.536904	−	0.0946706i	−0.0301555	−	0.00531723i	0.158550	−	0.987351i	$-0.449318\pi$
$317$	−0.536904	−	0.0946706i	−0.0301555	−	0.00531723i	−0.188706	+	0.982034i	$0.560429\pi$
$318$	4.97886	−	6.66098i	0.279200	−	0.373529i
$319$	0.256915	−	1.45704i	0.0143845	−	0.0815783i
$320$	15.0244	−	25.3432i	0.839891	−	1.41673i
$321$	−0.915452	−	5.19179i	−0.0510956	−	0.289777i
$322$	−18.8459	+	3.54083i	−1.05024	+	0.197323i
$323$	19.1785	+	27.3357i	1.06712	+	1.52100i
$324$	−12.0767	−	8.00968i	−0.670927	−	0.444982i
$325$	7.79286	−	21.4107i	0.432270	−	1.18765i
$326$	3.54780	+	8.26841i	0.196494	+	0.457945i
$327$	6.09012	−	7.25792i	0.336784	−	0.401364i
$328$	−11.2201	+	4.01061i	−0.619524	+	0.221449i
$329$	3.69848	+	11.7891i	0.203904	+	0.649954i
$330$	−1.38454	+	4.59252i	−0.0762164	+	0.252810i
$331$	5.79780	−	10.0421i	0.318676	−	0.551963i	−0.661536	−	0.749913i	$-0.730095\pi$
$331$	5.79780	−	10.0421i	0.318676	−	0.551963i	0.980212	+	0.197950i	$0.0634284\pi$
$332$	8.36985	−	34.7195i	0.459355	−	1.90548i
$333$	−0.807476	+	0.962312i	−0.0442494	+	0.0527344i
$334$	−14.3041	−	4.31235i	−0.782684	−	0.235961i
$335$	−21.3156	+	36.9198i	−1.16460	+	2.01714i
$336$	−10.8228	−	12.7572i	−0.590434	−	0.695963i
$337$	3.29789	−	9.06087i	0.179647	−	0.493577i	−0.816883	−	0.576803i	$-0.804300\pi$
$337$	3.29789	−	9.06087i	0.179647	−	0.493577i	0.996531	+	0.0832259i	$0.0265223\pi$
$338$	3.77136	−	7.47353i	0.205135	−	0.406506i
$339$	−3.17995	+	0.560712i	−0.172711	+	0.0304537i
$340$	56.0686	−	6.33498i	3.04075	−	0.343562i
$341$	−0.0803876	+	0.0464118i	−0.00435323	+	0.00251334i
$342$	1.91338	+	2.42482i	0.103464	+	0.131119i
$343$	−18.3512	−	2.49648i	−0.990873	−	0.134797i
$344$	17.5348	+	14.8867i	0.945412	+	0.802635i
$345$	−10.2044	+	28.0364i	−0.549387	+	1.50943i
$346$	2.00447	+	35.5945i	0.107761	+	1.91357i
$347$	6.16903	+	7.35196i	0.331171	+	0.394674i	0.905776	−	0.423757i	$-0.139289\pi$
$347$	6.16903	+	7.35196i	0.331171	+	0.394674i	−0.574605	+	0.818431i	$0.694844\pi$
$348$	7.70027	−	2.27307i	0.412778	−	0.121850i
$349$	−4.13485	+	7.16176i	−0.221333	+	0.383360i	−0.955213	−	0.295919i	$-0.904374\pi$
$349$	−4.13485	+	7.16176i	−0.221333	+	0.383360i	0.733880	+	0.679279i	$0.237708\pi$
$350$	−30.2270	−	10.6204i	−1.61570	−	0.567684i
$351$	14.5033	+	2.55732i	0.774129	+	0.136500i
$352$	0.223258	−	3.28816i	0.0118997	−	0.175260i
$353$	−25.0318			−1.33231			−0.666153	−	0.745815i	$-0.732060\pi$
$353$	−25.0318			−1.33231			−0.666153	+	0.745815i	$0.732060\pi$
$354$	−6.82044	+	6.41001i	−0.362502	+	0.340688i
$355$	−5.17183	+	29.3309i	−0.274492	+	1.55672i
$356$	−3.46323	−	30.6518i	−0.183551	−	1.62454i
$357$	6.97974	−	31.2709i	0.369407	−	1.65503i
$358$	6.31001	+	4.71651i	0.333494	+	0.249275i
$359$	−3.13226	−	3.73288i	−0.165314	−	0.197014i	0.677027	−	0.735958i	$-0.263268\pi$
$359$	−3.13226	−	3.73288i	−0.165314	−	0.197014i	−0.842342	+	0.538944i	$0.818823\pi$
$360$	5.14521	−	0.876662i	0.271176	−	0.0462041i
$361$	6.53153	+	17.8421i	0.343765	+	0.939056i
$362$	−14.1411	−	15.0465i	−0.743238	−	0.790828i
$363$	−2.92636	−	16.5962i	−0.153594	−	0.871075i
$364$	12.6407	+	6.20248i	0.662554	+	0.325098i
$365$	−43.3473	+	15.7771i	−2.26890	+	0.825812i
$366$	−4.27018	+	1.83225i	−0.223206	+	0.0957730i
$367$	8.01187	+	22.0124i	0.418216	+	1.14904i	0.952714	+	0.303870i	$0.0982788\pi$
$367$	8.01187	+	22.0124i	0.418216	+	1.14904i	−0.534497	+	0.845170i	$0.679499\pi$
$368$	2.53642	−	20.3421i	0.132220	−	1.06041i
$369$	−1.82806	−	1.05543i	−0.0951651	−	0.0549436i
$370$	0.734138	+	13.0365i	0.0381660	+	0.677736i
$371$	9.60551	+	2.14397i	0.498693	+	0.111309i
$372$	−0.419783	−	0.278415i	−0.0217647	−	0.0144351i
$373$		−	15.3523i		−	0.794913i	−0.917621	−	0.397457i	$-0.869893\pi$
$373$		−	15.3523i		−	0.794913i	0.917621	−	0.397457i	$-0.130107\pi$
$374$	5.28023	−	3.45833i	0.273034	−	0.178826i
$375$	−15.8882	+	13.3318i	−0.820465	+	0.688452i
$376$	−13.2085	−	0.0762063i	−0.681176	−	0.00393004i
$377$	−5.17646	+	4.34357i	−0.266601	+	0.223705i
$378$	3.36762	−	20.4325i	0.173212	−	1.05094i
$379$	−18.5615			−0.953443			−0.476721	−	0.879054i	$-0.658175\pi$
$379$	−18.5615			−0.953443			−0.476721	+	0.879054i	$0.658175\pi$
$380$	31.7528	+	4.74577i	1.62888	+	0.243453i
$381$	0.0557697	−	0.0965960i	0.00285717	−	0.00494876i
$382$	−0.634844	−	0.0754405i	−0.0324814	−	0.00385987i
$383$	26.2200	+	9.54331i	1.33978	+	0.487640i	0.909743	−	0.415171i	$-0.136278\pi$
$383$	26.2200	+	9.54331i	1.33978	+	0.487640i	0.430037	+	0.902811i	$0.358500\pi$
$384$	16.5159	−	6.86206i	0.842823	−	0.350178i
$385$	−5.62922	+	0.732877i	−0.286892	+	0.0373509i
$386$	−14.8140	−	7.47560i	−0.754015	−	0.380498i
$387$			4.07489i			0.207138i
$388$	3.40837	+	6.85222i	0.173034	+	0.347869i
$389$	26.5245	+	22.2567i	1.34484	+	1.12846i	0.980353	+	0.197252i	$0.0632018\pi$
$389$	26.5245	+	22.2567i	1.34484	+	1.12846i	0.364492	+	0.931207i	$0.381243\pi$
$390$	18.3269	−	12.0034i	0.928020	−	0.607815i
$391$	34.0008	−	19.6304i	1.71950	−	0.992752i
$392$	8.52217	−	17.8710i	0.430435	−	0.902622i
$393$	2.26320	−	2.69718i	0.114163	−	0.136055i
$394$	−2.54920	+	1.09381i	−0.128427	+	0.0551051i
$395$	7.95803	−	45.1322i	0.400412	−	2.27085i
$396$	0.469663	−	0.346852i	0.0236015	−	0.0174300i
$397$	−10.2460	+	8.59739i	−0.514230	+	0.431491i	−0.862615	−	0.505861i	$-0.831175\pi$
$397$	−10.2460	+	8.59739i	−0.514230	+	0.431491i	0.348384	+	0.937352i	$0.386730\pi$
$398$	30.9692	−	7.27697i	1.55235	−	0.364761i
$399$	8.42620	−	16.1665i	0.421837	−	0.809339i
$400$	20.6638	−	27.3150i	1.03319	−	1.36575i
$401$	−9.34473	−	11.1366i	−0.466654	−	0.556136i	0.480468	−	0.877013i	$-0.340467\pi$
$401$	−9.34473	−	11.1366i	−0.466654	−	0.556136i	−0.947121	+	0.320877i	$0.896023\pi$
$402$	−23.7822	+	10.2044i	−1.18615	+	0.508951i
$403$	0.417513	+	0.0736188i	0.0207978	+	0.00366721i
$404$	12.4775	+	16.8955i	0.620779	+	0.840582i
$405$	−20.4412	−	17.1522i	−1.01573	−	0.852301i
$406$	6.18866	+	7.21003i	0.307138	+	0.357828i
$407$	0.730313	+	1.26494i	0.0362003	+	0.0627007i
$408$	29.5644	+	17.2972i	1.46365	+	0.856338i
$409$	−20.6521	+	24.6123i	−1.02118	+	1.21700i	−0.0452385	+	0.998976i	$0.514405\pi$
$409$	−20.6521	+	24.6123i	−1.02118	+	1.21700i	−0.975944	+	0.218022i	$0.930040\pi$
$410$	−21.3588	+	5.01877i	−1.05484	+	0.247859i
$411$	−20.8316			−1.02755
$412$	−35.0138	−	8.44078i	−1.72500	−	0.415847i
$413$	−10.2278	−	4.25371i	−0.503277	−	0.209312i
$414$	3.03802	−	1.98977i	0.149310	−	0.0977921i
$415$	22.4923	−	61.7971i	1.10410	−	3.03350i
$416$	−10.4345	+	10.8491i	−0.511595	+	0.531919i
$417$	−6.71276	−	3.87561i	−0.328725	−	0.189790i
$418$	3.41027	−	1.12628i	0.166802	−	0.0550881i
$419$			15.2335i			0.744205i	0.928192	+	0.372103i	$0.121363\pi$
$419$			15.2335i			0.744205i	−0.928192	+	0.372103i	$0.878637\pi$
$420$	−17.1655	−	25.5797i	−0.837593	−	1.24816i
$421$	−22.8534	−	27.2356i	−1.11381	−	1.32738i	−0.939445	−	0.342699i	$-0.888659\pi$
$421$	−22.8534	−	27.2356i	−1.11381	−	1.32738i	−0.174360	−	0.984682i	$-0.555786\pi$
$422$	−10.2612	+	20.3341i	−0.499506	+	0.989847i
$423$	−1.50412	−	1.79254i	−0.0731329	−	0.0871564i
$424$	−5.31318	+	9.08130i	−0.258031	+	0.441027i
$425$	65.5964			3.18189
$426$	−13.1746	+	12.3818i	−0.638312	+	0.599901i
$427$	−4.04910	−	3.72103i	−0.195949	−	0.180073i
$428$	1.88836	+	6.39699i	0.0912771	+	0.309210i
$429$	1.22535	−	2.12237i	0.0591606	−	0.102469i
$430$	29.0064	+	30.8637i	1.39881	+	1.48838i
$431$	8.46799	−	3.08210i	0.407889	−	0.148459i	−0.129924	−	0.991524i	$-0.541473\pi$
$431$	8.46799	−	3.08210i	0.407889	−	0.148459i	0.537812	+	0.843065i	$0.319251\pi$
$432$	19.7062	+	10.0874i	0.948115	+	0.485330i
$433$	4.69660	+	12.9038i	0.225704	+	0.620117i	0.999918	−	0.0128073i	$-0.00407681\pi$
$433$	4.69660	+	12.9038i	0.225704	+	0.620117i	−0.774214	+	0.632924i	$0.781855\pi$
$434$	0.0969451	−	0.588200i	0.00465351	−	0.0282345i
$435$	14.5594	−	2.56721i	0.698068	−	0.123088i
$436$	−6.62545	+	9.98960i	−0.317301	+	0.478415i
$437$	21.5724	−	5.80179i	1.03195	−	0.277537i
$438$	−26.8105	−	8.08276i	−1.28106	−	0.386209i
$439$	17.0185	−	14.2802i	0.812248	−	0.681557i	−0.138895	−	0.990307i	$-0.544355\pi$
$439$	17.0185	−	14.2802i	0.812248	−	0.681557i	0.951143	+	0.308750i	$0.0999108\pi$
$440$	1.08828	−	5.97031i	0.0518816	−	0.284623i
$441$	3.39058	−	0.898072i	0.161456	−	0.0427653i
$442$	−28.6272	−	3.40186i	−1.36166	−	0.161810i
$443$	25.2861	+	4.45863i	1.20138	+	0.211836i	0.738295	−	0.674478i	$-0.235631\pi$
$443$	25.2861	+	4.45863i	1.20138	+	0.211836i	0.463085	+	0.886314i	$0.346742\pi$
$444$	−4.38100	+	6.60550i	−0.207913	+	0.313483i
$445$		−	56.8006i		−	2.69261i
$446$	−13.3102	−	20.3222i	−0.630258	−	0.962286i
$447$	−1.43542	+	8.14065i	−0.0678928	+	0.385039i
$448$	15.4184	+	14.5008i	0.728450	+	0.685099i
$449$	−29.6123	−	17.0967i	−1.39749	−	0.806843i	−0.403363	−	0.915040i	$-0.632159\pi$
$449$	−29.6123	−	17.0967i	−1.39749	−	0.806843i	−0.994129	+	0.108197i	$0.965492\pi$
$450$	6.05808	−	0.341154i	0.285581	−	0.0160822i
$451$	−1.88015	+	1.57763i	−0.0885326	+	0.0742877i
$452$	3.91814	−	1.15661i	0.184294	−	0.0544024i
$453$	22.0249	+	8.01639i	1.03482	+	0.376643i
$454$	−11.5030	+	4.93571i	−0.539864	+	0.231644i
$455$	21.8469	+	13.9622i	1.02420	+	0.654556i
$456$	13.7142	+	13.8476i	0.642227	+	0.648475i
$457$	−15.1084	−	26.1685i	−0.706741	−	1.22411i	−0.966059	−	0.258320i	$-0.916831\pi$
$457$	−15.1084	−	26.1685i	−0.706741	−	1.22411i	0.259318	−	0.965792i	$-0.416502\pi$
$458$	−2.30470	+	19.3944i	−0.107691	+	0.906241i
$459$	7.36242	+	41.7543i	0.343648	+	1.94893i
$460$	8.84640	−	36.6963i	0.412465	−	1.71098i
$461$	−17.3382	−	6.31060i	−0.807521	−	0.293914i	−0.0949218	−	0.995485i	$-0.530260\pi$
$461$	−17.3382	−	6.31060i	−0.807521	−	0.293914i	−0.712600	+	0.701571i	$0.752482\pi$
$462$	−3.00343	−	1.68952i	−0.139732	−	0.0786038i
$463$	8.19956	+	4.73402i	0.381066	+	0.220008i	0.678282	−	0.734802i	$-0.262725\pi$
$463$	8.19956	+	4.73402i	0.381066	+	0.220008i	−0.297216	+	0.954810i	$0.596058\pi$
$464$	−9.35777	+	3.95145i	−0.434424	+	0.183441i
$465$	−0.710533	−	0.596208i	−0.0329502	−	0.0276485i
$466$	5.12073	−	10.1475i	0.237213	−	0.470074i
$467$	26.1151	+	15.0776i	1.20846	+	0.697707i	0.962424	−	0.271553i	$-0.0875372\pi$
$467$	26.1151	+	15.0776i	1.20846	+	0.697707i	0.246040	+	0.969260i	$0.420870\pi$
$468$	−2.66153	−	0.165291i	−0.123029	−	0.00764056i
$469$	−22.5509	−	20.7237i	−1.04130	−	0.956934i
$470$	−24.1523	−	2.87009i	−1.11406	−	0.132387i
$471$	−4.03026	−	3.38179i	−0.185704	−	0.155825i
$472$	7.66404	−	9.02736i	0.352766	−	0.415518i
$473$	4.45225	+	1.62049i	0.204715	+	0.0745100i
$474$	20.2721	−	19.0522i	0.931129	−	0.875096i
$475$	36.0609	+	9.62660i	1.65459	+	0.441699i
$476$	−4.33295	+	40.3047i	−0.198601	+	1.84736i
$477$	−1.83561	+	0.323667i	−0.0840467	+	0.0148197i
$478$	13.5159	+	1.60613i	0.618202	+	0.0734629i
$479$	−31.6903	−	5.58785i	−1.44797	−	0.255315i	−0.606266	−	0.795262i	$-0.707333\pi$
$479$	−31.6903	−	5.58785i	−1.44797	−	0.255315i	−0.841699	+	0.539946i	$0.818444\pi$
$480$	31.6383	−	9.14134i	1.44408	−	0.417243i
$481$	1.15843	−	6.56978i	0.0528198	−	0.299556i
$482$	−3.38826	+	11.2389i	−0.154331	+	0.511917i
$483$	−18.0611	−	11.5427i	−0.821808	−	0.525210i
$484$	6.03636	+	20.4488i	0.274380	+	0.929491i
$485$	4.81982	+	13.2424i	0.218857	+	0.601304i
$486$	1.66581	+	7.08935i	0.0755629	+	0.321580i
$487$	−18.5288	−	32.0929i	−0.839622	−	1.45427i	−0.890211	−	0.455548i	$-0.849443\pi$
$487$	−18.5288	−	32.0929i	−0.839622	−	1.45427i	0.0505898	−	0.998720i	$-0.483890\pi$
$488$	5.10814	−	2.91002i	0.231235	−	0.131731i
$489$	−3.43979	+	9.45074i	−0.155553	+	0.427377i
$490$	19.2879	−	30.9373i	0.871336	−	1.39761i
$491$	−12.7882	−	15.2404i	−0.577124	−	0.687790i	0.395953	−	0.918271i	$-0.370414\pi$
$491$	−12.7882	−	15.2404i	−0.577124	−	0.687790i	−0.973077	+	0.230481i	$0.925970\pi$
$492$	−12.2092	−	5.32233i	−0.550434	−	0.239949i
$493$	−16.8478	−	9.72711i	−0.758789	−	0.438087i
$494$	−15.2383	−	6.07133i	−0.685602	−	0.273162i
$495$	0.931065	−	0.537550i	0.0418482	−	0.0241611i
$496$	0.567291	+	0.290390i	0.0254721	+	0.0130389i
$497$	−19.7564	−	8.21663i	−0.886195	−	0.368566i
$498$	33.3957	−	21.8728i	1.49650	−	0.980143i
$499$	−15.1699	+	2.67487i	−0.679099	+	0.119744i	−0.502550	−	0.864548i	$-0.667605\pi$
$499$	−15.1699	+	2.67487i	−0.679099	+	0.119744i	−0.176550	+	0.984292i	$0.556494\pi$
$500$	18.0807	−	19.0174i	0.808594	−	0.850482i
$501$	−8.34991	−	14.4625i	−0.373046	−	0.646135i
$502$	−3.05480	+	10.1328i	−0.136342	+	0.452248i
$503$	−33.7982	−	5.95953i	−1.50699	−	0.265722i	−0.641682	−	0.766971i	$-0.721763\pi$
$503$	−33.7982	−	5.95953i	−1.50699	−	0.265722i	−0.865303	+	0.501249i	$0.832874\pi$
$504$	−0.190548	+	3.74483i	−0.00848767	+	0.166808i
$505$	19.3376	+	33.4938i	0.860513	+	1.49045i
$506$	−0.965893	−	4.11064i	−0.0429392	−	0.182740i
$507$	8.79296	−	3.20037i	0.390509	−	0.142134i
$508$	−0.0563918	+	0.129361i	−0.00250198	+	0.00573945i
$509$	5.01021	−	5.97094i	0.222074	−	0.264657i	−0.643492	−	0.765453i	$-0.722515\pi$
$509$	5.01021	−	5.97094i	0.222074	−	0.264657i	0.865565	+	0.500796i	$0.166959\pi$
$510$	50.5189	+	37.7612i	2.23702	+	1.67209i
$511$	−4.27844	−	32.8627i	−0.189267	−	1.45376i
$512$	−19.7888	+	10.9729i	−0.874549	+	0.484936i
$513$	−2.08025	+	24.0344i	−0.0918454	+	1.06115i
$514$	8.84435	−	29.3367i	0.390107	−	1.29399i
$515$	−62.3208	−	22.6829i	−2.74618	−	0.999529i
$516$	2.88665	+	25.5487i	0.127078	+	1.12472i
$517$	−2.55669	+	0.930560i	−0.112443	+	0.0409260i
$518$	−9.25563	−	1.52548i	−0.406669	−	0.0670258i
$519$	−25.6153	+	30.5271i	−1.12439	+	1.33999i
$520$	−21.3353	+	17.6937i	−0.935615	+	0.775919i
$521$			27.8606i			1.22059i	0.792173	+	0.610297i	$0.208950\pi$
$521$			27.8606i			1.22059i	−0.792173	+	0.610297i	$0.791050\pi$
$522$	−1.60655	−	0.810714i	−0.0703169	−	0.0354840i
$523$	−3.93600	+	1.43259i	−0.172109	+	0.0626427i	−0.426638	−	0.904423i	$-0.640302\pi$
$523$	−3.93600	+	1.43259i	−0.172109	+	0.0626427i	0.254528	+	0.967065i	$0.418080\pi$
$524$	−2.46214	+	3.71232i	−0.107559	+	0.162174i
$525$	−16.4907	−	31.7897i	−0.719713	−	1.38742i
$526$	−23.7224	−	11.9710i	−1.03435	−	0.521962i
$527$	0.211945	+	1.20200i	0.00923248	+	0.0523600i
$528$	2.69898	−	2.50739i	0.117458	−	0.109120i
$529$	−0.566922	−	3.21517i	−0.0246488	−	0.139790i
$530$	−11.5991	+	15.5179i	−0.503833	+	0.674056i
$531$	2.09786			0.0910394
$532$	−8.29691	+	21.5212i	−0.359717	+	0.933062i
$533$	11.2098			0.485550
$534$	20.6434	−	27.6179i	0.893329	−	1.19514i
$535$	2.13271	+	12.0952i	0.0922049	+	0.522920i
$536$	28.4491	−	16.2070i	1.22881	−	0.700035i
$537$	1.52913	+	8.67212i	0.0659867	+	0.374229i
$538$	−15.5967	−	7.87057i	−0.672423	−	0.339324i
$539$	0.367114	−	4.06171i	0.0158127	−	0.174950i
$540$	33.9717	+	22.5312i	1.46191	+	0.969588i
$541$	−20.0599	+	7.30119i	−0.862440	+	0.313903i	−0.735102	−	0.677957i	$-0.762866\pi$
$541$	−20.0599	+	7.30119i	−0.862440	+	0.313903i	−0.127339	+	0.991859i	$0.540643\pi$
$542$	13.6961	+	6.91145i	0.588297	+	0.296872i
$543$		−	23.0810i		−	0.990499i
$544$	−39.6248	−	17.5463i	−1.69890	−	0.752290i
$545$	−14.1880	+	16.9086i	−0.607747	+	0.724285i
$546$	5.54815	+	14.7287i	0.237439	+	0.630331i
$547$	17.9883	−	6.54722i	0.769126	−	0.279939i	0.0724953	−	0.997369i	$-0.476904\pi$
$547$	17.9883	−	6.54722i	0.769126	−	0.279939i	0.696631	+	0.717430i	$0.254682\pi$
$548$	26.1891	−	2.95900i	1.11874	−	0.126402i
$549$	0.978670	+	0.356207i	0.0417686	+	0.0152025i
$550$	2.03641	−	6.75476i	0.0868326	−	0.288024i
$551$	−7.83441	−	7.81987i	−0.333757	−	0.333138i
$552$	17.6381	−	14.6276i	0.750729	−	0.622591i
$553$	30.3996	+	12.6431i	1.29272	+	0.537640i
$554$	8.94185	+	6.68373i	0.379903	+	0.283964i
$555$	−9.38164	+	11.1806i	−0.398228	+	0.474590i
$556$	8.98967	+	3.91884i	0.381247	+	0.166196i
$557$	−13.5180	+	4.92015i	−0.572777	+	0.208474i	−0.612137	−	0.790751i	$-0.709690\pi$
$557$	−13.5180	+	4.92015i	−0.572777	+	0.208474i	0.0393608	+	0.999225i	$0.487468\pi$
$558$	0.0258253	+	0.109907i	0.00109327	+	0.00465274i
$559$	−10.8199	−	18.7406i	−0.457633	−	0.792644i
$560$	25.2137	+	29.7201i	1.06547	+	1.25590i
$561$	6.94829	+	1.22517i	0.293357	+	0.0517267i
$562$	10.4181	−	34.5568i	0.439461	−	1.45769i
$563$	10.3582	+	17.9410i	0.436547	+	0.756122i	0.997420	−	0.0717800i	$-0.0228679\pi$
$563$	10.3582	+	17.9410i	0.436547	+	0.756122i	−0.560874	+	0.827901i	$0.689535\pi$
$564$	−10.7004	−	10.1733i	−0.450566	−	0.428375i
$565$	7.40826	−	1.30628i	0.311668	−	0.0549554i
$566$	−4.13234	+	2.70651i	−0.173695	+	0.113763i
$567$	15.2256	−	11.6483i	0.639416	−	0.489183i
$568$	14.8041	−	17.4376i	0.621168	−	0.731665i
$569$	1.29477	−	0.747537i	0.0542797	−	0.0313384i	−0.472615	−	0.881269i	$-0.656690\pi$
$569$	1.29477	−	0.747537i	0.0542797	−	0.0313384i	0.526894	+	0.849931i	$0.323356\pi$
$570$	22.2306	+	28.1727i	0.931136	+	1.18002i
$571$	−5.55095	−	3.20484i	−0.232300	−	0.134118i	0.379333	−	0.925260i	$-0.376154\pi$
$571$	−5.55095	−	3.20484i	−0.232300	−	0.134118i	−0.611633	+	0.791142i	$0.709487\pi$
$572$	−1.23902	+	2.84227i	−0.0518061	+	0.118841i
$573$	−0.459347	−	0.547429i	−0.0191895	−	0.0228692i
$574$	−0.176298	−	15.7615i	−0.00735855	−	0.657872i
$575$	15.0088	−	41.2364i	0.625911	−	1.71968i
$576$	−3.75076	−	1.41439i	−0.156282	−	0.0589327i
$577$	−19.9305	−	34.5206i	−0.829717	−	1.43711i	−0.898261	−	0.439463i	$-0.855169\pi$
$577$	−19.9305	−	34.5206i	−0.829717	−	1.43711i	0.0685441	−	0.997648i	$-0.478165\pi$
$578$	−13.4856	−	57.3917i	−0.560925	−	2.38718i
$579$	−6.34379	−	17.4294i	−0.263639	−	0.724342i
$580$	−17.9391	+	5.29552i	−0.744881	+	0.219885i
$581$	39.8098	+	25.4421i	1.65159	+	1.05552i
$582$	−2.46924	+	8.19047i	−0.102353	+	0.339506i
$583$	−0.376336	+	2.13431i	−0.0155862	+	0.0883940i
$584$	34.8539	+	6.35323i	1.44226	+	0.262898i
$585$	−4.83572	−	0.852667i	−0.199932	−	0.0352535i
$586$	−23.7810	−	2.82597i	−0.982385	−	0.116740i
$587$	−28.9821	+	5.11033i	−1.19622	+	0.210926i	−0.736064	−	0.676912i	$-0.763318\pi$
$587$	−28.9821	+	5.11033i	−1.19622	+	0.210926i	−0.460156	+	0.887838i	$0.652206\pi$
$588$	20.6220	−	8.03260i	0.850437	−	0.331259i
$589$	−0.0598852	+	0.691890i	−0.00246753	+	0.0285088i
$590$	15.8894	−	14.9332i	0.654157	−	0.614792i
$591$	−2.91371	−	1.06050i	−0.119854	−	0.0436233i
$592$	4.56944	−	8.92662i	0.187803	−	0.366882i
$593$	−12.9092	−	10.8321i	−0.530116	−	0.444820i	0.338026	−	0.941137i	$-0.390241\pi$
$593$	−12.9092	−	10.8321i	−0.530116	−	0.444820i	−0.868141	+	0.496317i	$0.834685\pi$
$594$	4.52819	+	0.538099i	0.185794	+	0.0220785i
$595$	−16.2605	+	72.8511i	−0.666616	+	2.98660i
$596$	0.648248	−	10.4382i	0.0265533	−	0.427564i
$597$	30.7959	+	17.7800i	1.26039	+	0.727688i
$598$	−8.68861	+	17.2178i	−0.355304	+	0.704088i
$599$	−4.06472	−	3.41071i	−0.166080	−	0.139358i	0.555960	−	0.831209i	$-0.312351\pi$
$599$	−4.06472	−	3.41071i	−0.166080	−	0.139358i	−0.722040	+	0.691851i	$0.756795\pi$
$600$	37.7412	−	6.43050i	1.54078	−	0.262524i
$601$	−15.0245	−	8.67442i	−0.612864	−	0.353837i	0.161222	−	0.986918i	$-0.448457\pi$
$601$	−15.0245	−	8.67442i	−0.612864	−	0.353837i	−0.774085	+	0.633081i	$0.781790\pi$
$602$	−26.1800	+	15.5080i	−1.06702	+	0.632060i
$603$	5.45057	+	1.98384i	0.221964	+	0.0807884i
$604$	−28.8280	−	6.94957i	−1.17299	−	0.282774i
$605$	6.81746	+	38.6637i	0.277169	+	1.57190i
$606$	−2.77042	+	23.3135i	−0.112541	+	0.947048i
$607$	17.3717	+	30.0887i	0.705096	+	1.22126i	0.966657	+	0.256075i	$0.0824295\pi$
$607$	17.3717	+	30.0887i	0.705096	+	1.22126i	−0.261561	+	0.965187i	$0.584237\pi$
$608$	−19.2083	−	15.4610i	−0.778998	−	0.627026i
$609$	−0.478524	+	10.6103i	−0.0193908	+	0.429950i
$610$	9.94814	−	4.26854i	0.402788	−	0.172828i
$611$	11.6772	+	4.25015i	0.472409	+	0.171943i
$612$	−2.17354	−	7.36308i	−0.0878600	−	0.297635i
$613$	−15.7443	+	13.2111i	−0.635908	+	0.533590i	−0.902758	−	0.430148i	$-0.858461\pi$
$613$	−15.7443	+	13.2111i	−0.635908	+	0.533590i	0.266851	+	0.963738i	$0.414017\pi$
$614$	−0.425388	+	0.0239553i	−0.0171673	+	0.000966756i
$615$	−21.2393	−	12.2625i	−0.856451	−	0.494472i
$616$	4.01585	+	1.69742i	0.161803	+	0.0683911i
$617$	5.55898	−	31.5265i	0.223796	−	1.26921i	−0.641177	−	0.767393i	$-0.721554\pi$
$617$	5.55898	−	31.5265i	0.223796	−	1.26921i	0.864973	−	0.501818i	$-0.167335\pi$
$618$	−22.0582	−	33.6787i	−0.887309	−	1.35476i
$619$			2.30535i			0.0926596i	0.998926	+	0.0463298i	$0.0147525\pi$
$619$			2.30535i			0.0926596i	−0.998926	+	0.0463298i	$0.985247\pi$
$620$	0.977958	+	0.648615i	0.0392757	+	0.0260490i
$621$	27.9329	+	4.92533i	1.12091	+	0.197647i
$622$	45.8049	+	5.44314i	1.83661	+	0.218250i
$623$	39.8266	+	8.88937i	1.59562	+	0.356145i
$624$	−16.8043	+	0.849088i	−0.672711	+	0.0339907i
$625$	4.21758	−	3.53897i	0.168703	−	0.141559i
$626$	6.59778	+	1.98908i	0.263700	+	0.0794996i
$627$	3.63994	+	1.69322i	0.145365	+	0.0676207i
$628$	5.54714	+	3.67905i	0.221355	+	0.146810i
$629$	18.9141	−	3.33507i	0.754155	−	0.132978i
$630$	−1.12284	+	6.81265i	−0.0447349	+	0.271422i
$631$	9.30707	+	25.5710i	0.370508	+	1.01796i	0.975165	+	0.221478i	$0.0710880\pi$
$631$	9.30707	+	25.5710i	0.370508	+	1.01796i	−0.604657	+	0.796486i	$0.706690\pi$
$632$	−22.7795	+	26.8316i	−0.906120	+	1.06730i
$633$	−23.9240	+	8.70762i	−0.950893	+	0.346097i
$634$	0.528019	+	0.561829i	0.0209703	+	0.0223131i
$635$	−0.129925	+	0.225037i	−0.00515593	+	0.00893033i
$636$	−11.2796	+	3.32966i	−0.447264	+	0.132030i
$637$	−13.2088	+	13.1332i	−0.523353	+	0.520355i
$638$	−1.52468	+	1.43293i	−0.0603625	+	0.0567301i
$639$	4.05230			0.160307
$640$	−38.4767	+	15.9864i	−1.52092	+	0.631917i
$641$	−0.226036	−	0.269379i	−0.00892789	−	0.0106398i	0.761562	−	0.648092i	$-0.224433\pi$
$641$	−0.226036	−	0.269379i	−0.00892789	−	0.0106398i	−0.770490	+	0.637452i	$0.779988\pi$
$642$	−3.35886	+	6.65609i	−0.132564	+	0.262695i
$643$	−1.28931	−	1.53654i	−0.0508454	−	0.0605951i	0.740022	−	0.672582i	$-0.234815\pi$
$643$	−1.28931	−	1.53654i	−0.0508454	−	0.0605951i	−0.790868	+	0.611987i	$0.790370\pi$
$644$	24.3457	+	11.9458i	0.959354	+	0.470730i
$645$			47.3440i			1.86417i
$646$	1.42044	−	47.2028i	0.0558866	−	1.85717i
$647$	−9.56772	−	5.52392i	−0.376146	−	0.217168i	0.299994	−	0.953941i	$-0.403015\pi$
$647$	−9.56772	−	5.52392i	−0.376146	−	0.217168i	−0.676140	+	0.736773i	$0.736349\pi$
$648$	6.89813	+	19.2982i	0.270984	+	0.758103i
$649$	0.834268	−	2.29213i	0.0327479	−	0.0899741i
$650$	−26.9556	+	17.6548i	−1.05728	+	0.692478i
$651$	0.529239	−	0.404893i	0.0207425	−	0.0158690i
$652$	2.98202	−	12.3699i	0.116785	−	0.484443i
$653$	−23.0390			−0.901585			−0.450792	−	0.892629i	$-0.648859\pi$
$653$	−23.0390			−0.901585			−0.450792	+	0.892629i	$0.648859\pi$
$654$	−13.0438	+	3.06495i	−0.510052	+	0.119849i
$655$	−5.27253	+	6.28355i	−0.206015	+	0.245519i
$656$	16.1052	+	4.95690i	0.628803	+	0.193534i
$657$	3.13815	+	5.43543i	0.122431	+	0.212056i
$658$	5.79226	−	16.4855i	0.225806	−	0.642673i
$659$	11.0052	+	9.23444i	0.428701	+	0.359723i	0.831461	−	0.555583i	$-0.187505\pi$
$659$	11.0052	+	9.23444i	0.428701	+	0.359723i	−0.402760	+	0.915305i	$0.631949\pi$
$660$	5.45677	−	4.02989i	0.212405	−	0.156863i
$661$	−36.2802	−	6.39717i	−1.41114	−	0.248821i	−0.584424	−	0.811448i	$-0.698680\pi$
$661$	−36.2802	−	6.39717i	−1.41114	−	0.248821i	−0.826711	+	0.562627i	$0.809791\pi$
$662$	−15.0700	+	6.46621i	−0.585711	+	0.251316i
$663$	−20.7135	−	24.6854i	−0.804446	−	0.958702i
$664$	−38.8776	+	32.2418i	−1.50874	+	1.25122i
$665$	−19.6303	+	37.6628i	−0.761230	+	1.46050i
$666$	1.72945	−	0.406375i	0.0670147	−	0.0157467i
$667$	−9.96971	+	8.36558i	−0.386029	+	0.323916i
$668$	12.5517	+	16.9959i	0.485639	+	0.657592i
$669$	4.71537	−	26.7422i	0.182307	−	1.03391i
$670$	55.4048	−	23.7730i	2.14048	−	0.918433i
$671$	0.778386	−	0.927645i	0.0300493	−	0.0358113i
$672$	1.45814	+	23.6143i	0.0562490	+	0.910940i
$673$	−21.0010	+	12.1249i	−0.809530	+	0.467382i	−0.846793	−	0.531923i	$-0.821470\pi$
$673$	−21.0010	+	12.1249i	−0.809530	+	0.467382i	0.0372626	+	0.999306i	$0.488136\pi$
$674$	−11.4074	+	7.47139i	−0.439397	+	0.287787i
$675$	36.3028	+	30.4616i	1.39729	+	1.17247i
$676$	−10.5998	+	5.27245i	−0.407683	+	0.202786i
$677$			27.5225i			1.05778i	0.848692	+	0.528888i	$0.177391\pi$
$677$			27.5225i			1.05778i	−0.848692	+	0.528888i	$0.822609\pi$
$678$	4.07683	+	2.05729i	0.156570	+	0.0790098i
$679$	−10.0394	+	1.30704i	−0.385276	+	0.0501596i
$680$	−68.8753	−	40.2968i	−2.64125	−	1.54531i
$681$	−13.1479	−	4.78544i	−0.503828	−	0.183378i
$682$	0.130355	+	0.0154905i	0.00499156	+	0.000593162i
$683$	16.6865	−	28.9019i	0.638492	−	1.10590i	−0.347272	−	0.937764i	$-0.612892\pi$
$683$	16.6865	−	28.9019i	0.638492	−	1.10590i	0.985764	−	0.168136i	$-0.0537747\pi$
$684$	−0.114309	−	4.36675i	−0.00437072	−	0.166967i
$685$	48.5308			1.85427
$686$	18.6736	+	18.3657i	0.712960	+	0.701205i
$687$	−16.7239	+	14.0330i	−0.638056	+	0.535393i
$688$	−7.25809	−	31.7094i	−0.276712	−	1.20891i
$689$	7.58263	−	6.36258i	0.288875	−	0.242395i
$690$	35.2971	−	23.1182i	1.34374	−	0.880093i
$691$		−	19.1242i		−	0.727517i	−0.931493	−	0.363758i	$-0.881493\pi$
$691$		−	19.1242i		−	0.727517i	0.931493	−	0.363758i	$-0.118507\pi$
$692$	27.8669	−	42.0167i	1.05934	−	1.59724i
$693$	0.231198	+	0.736956i	0.00878249	+	0.0279947i
$694$	−0.763119	−	13.5512i	−0.0289676	−	0.514395i
$695$	15.6385	+	9.02891i	0.593204	+	0.342486i
$696$	−10.6470	−	3.94492i	−0.403575	−	0.149532i
$697$	11.0378	+	30.3262i	0.418088	+	1.14869i
$698$	10.7475	−	4.61154i	0.406800	−	0.174549i
$699$	11.9390	−	4.34545i	0.451575	−	0.164360i
$700$	25.2474	+	37.6231i	0.954261	+	1.42202i
$701$	−2.55245	−	14.4757i	−0.0964048	−	0.546739i	−0.994308	−	0.106546i	$-0.966021\pi$
$701$	−2.55245	−	14.4757i	−0.0964048	−	0.546739i	0.897903	−	0.440193i	$-0.145090\pi$
$702$	−14.2633	−	15.1766i	−0.538334	−	0.572804i
$703$	10.8873	+	0.942324i	0.410620	+	0.0355404i
$704$	−3.03695	+	3.53563i	−0.114459	+	0.133254i
$705$	−17.4756	−	20.8266i	−0.658169	−	0.784376i
$706$	28.3547	+	21.1941i	1.06714	+	0.797652i
$707$	−26.5110	+	8.31704i	−0.997048	+	0.312794i
$708$	13.1531	−	1.48612i	0.494325	−	0.0558518i
$709$	−0.335468	+	1.90254i	−0.0125988	+	0.0714512i	−0.990459	−	0.137808i	$-0.955994\pi$
$709$	−0.335468	+	1.90254i	−0.0125988	+	0.0714512i	0.977860	+	0.209260i	$0.0671053\pi$
$710$	30.6926	−	28.8456i	1.15187	−	1.08256i
$711$	−6.23538			−0.233845
$712$	−22.0296	+	37.6531i	−0.825595	+	1.41111i
$713$	0.804117	+	0.141788i	0.0301144	+	0.00530999i
$714$	−34.3831	+	29.5124i	−1.28675	+	1.10447i
$715$	−2.85467	+	4.94444i	−0.106759	+	0.184912i
$716$	−3.15422	−	10.6852i	−0.117879	−	0.399326i
$717$	9.77955	+	11.6548i	0.365224	+	0.435257i
$718$	0.387466	+	6.88047i	0.0144601	+	0.256777i
$719$	−13.4498	+	36.9531i	−0.501593	+	1.37812i	0.388125	+	0.921607i	$0.373123\pi$
$719$	−13.4498	+	36.9531i	−0.501593	+	1.37812i	−0.889718	+	0.456510i	$0.849099\pi$
$720$	−6.57048	−	3.36336i	−0.244867	−	0.125345i
$721$	25.6577	−	40.1472i	0.955544	−	1.49516i
$722$	7.70811	−	25.7407i	0.286866	−	0.957971i
$723$	−11.3633	+	6.56062i	−0.422607	+	0.243992i
$724$	3.27852	+	29.0170i	0.121845	+	1.07841i
$725$	−21.4142	+	3.77589i	−0.795302	+	0.140233i
$726$	−10.7370	+	21.2770i	−0.398488	+	0.789664i
$727$	14.2575	−	39.1720i	0.528780	−	1.45281i	−0.331729	−	0.943375i	$-0.607632\pi$
$727$	14.2575	−	39.1720i	0.528780	−	1.45281i	0.860509	−	0.509435i	$-0.170146\pi$
$728$	−9.06717	−	17.7286i	−0.336052	−	0.657067i
$729$	−14.9387	+	25.8746i	−0.553285	+	0.958318i
$730$	62.4598	+	18.8302i	2.31174	+	0.696937i
$731$	40.0457	−	47.7246i	1.48114	−	1.76516i
$732$	6.38838	+	1.54005i	0.236121	+	0.0569219i
$733$	−23.5309	+	40.7567i	−0.869134	+	1.50538i	−0.00625033	+	0.999980i	$0.501990\pi$
$733$	−23.5309	+	40.7567i	−0.869134	+	1.50538i	−0.862883	+	0.505403i	$0.831344\pi$
$734$	9.56228	−	31.7181i	0.352950	−	1.17074i
$735$	39.3934	−	10.4342i	1.45305	−	0.384872i
$736$	−20.0966	+	20.8949i	−0.740771	+	0.770198i
$737$	4.33512	−	5.16639i	0.159686	−	0.190306i
$738$	1.17711	+	2.74334i	0.0433300	+	0.100984i
$739$	−3.62020	+	9.94643i	−0.133171	+	0.365885i	−0.988298	−	0.152533i	$-0.951257\pi$
$739$	−3.62020	+	9.94643i	−0.133171	+	0.365885i	0.855127	+	0.518419i	$0.173479\pi$
$740$	10.2063	−	15.3887i	0.375191	−	0.565699i
$741$	−7.76431	−	16.6103i	−0.285229	−	0.610196i
$742$	−9.06533	−	10.5615i	−0.332799	−	0.387723i
$743$	2.66713	+	15.1261i	0.0978476	+	0.554921i	0.993838	+	0.110847i	$0.0353563\pi$
$743$	2.66713	+	15.1261i	0.0978476	+	0.554921i	−0.895990	+	0.444074i	$0.853533\pi$
$744$	0.239777	+	0.670799i	0.00879066	+	0.0245927i
$745$	3.34405	−	18.9651i	0.122517	−	0.694826i
$746$	−12.9987	+	17.3903i	−0.475915	+	0.636704i
$747$	−8.81173	−	1.55375i	−0.322404	−	0.0568486i
$748$	−8.90930	−	0.553299i	−0.325756	−	0.0202306i
$749$	−8.81448	−	0.397534i	−0.322074	−	0.0145256i
$750$	29.2853	−	1.64917i	1.06935	−	0.0602191i
$751$	−34.5787	+	12.5856i	−1.26180	+	0.459256i	−0.884371	−	0.466784i	$-0.845412\pi$
$751$	−34.5787	+	12.5856i	−1.26180	+	0.459256i	−0.377424	+	0.926040i	$0.623190\pi$
$752$	14.8974	+	11.2698i	0.543251	+	0.410968i
$753$	−10.2450	+	5.91494i	−0.373348	+	0.215552i
$754$	9.54127	−	0.537306i	0.347473	−	0.0195675i
$755$	−51.3108	−	18.6756i	−1.86739	−	0.679674i
$756$	−21.1147	+	20.2936i	−0.767933	+	0.738069i
$757$	23.9278	−	20.0778i	0.869669	−	0.729739i	−0.0943590	−	0.995538i	$-0.530080\pi$
$757$	23.9278	−	20.0778i	0.869669	−	0.729739i	0.964028	+	0.265799i	$0.0856357\pi$
$758$	21.0255	+	15.7159i	0.763682	+	0.570826i
$759$	2.35999	−	4.08763i	0.0856624	−	0.148372i
$760$	−31.9497	−	32.2605i	−1.15894	−	1.17021i
$761$	−3.85772	−	6.68177i	−0.139842	−	0.242214i	0.787594	−	0.616194i	$-0.211326\pi$
$761$	−3.85772	−	6.68177i	−0.139842	−	0.242214i	−0.927437	+	0.373980i	$0.877993\pi$
$762$	−0.144960	+	0.0621992i	−0.00525134	+	0.00225324i
$763$	−9.63526	−	12.5943i	−0.348820	−	0.455945i
$764$	0.655243	+	0.622971i	0.0237059	+	0.0225383i
$765$	−2.45479	−	13.9218i	−0.0887531	−	0.503344i
$766$	−21.6204	−	33.0104i	−0.781178	−	1.19271i
$767$	−9.64816	+	5.57037i	−0.348375	+	0.201134i
$768$	−24.5184	−	6.21086i	−0.884731	−	0.224115i
$769$	−6.54894	+	37.1409i	−0.236161	+	1.33934i	0.603994	+	0.796989i	$0.293575\pi$
$769$	−6.54894	+	37.1409i	−0.236161	+	1.33934i	−0.840155	+	0.542346i	$0.817536\pi$
$770$	6.99701	+	3.93604i	0.252155	+	0.141845i
$771$	29.6616	−	17.1251i	1.06824	−	0.616746i
$772$	10.4511	+	21.0109i	0.376142	+	0.756198i
$773$	3.92023	+	10.7707i	0.141001	+	0.387396i	0.990013	−	0.140977i	$-0.0450244\pi$
$773$	3.92023	+	10.7707i	0.141001	+	0.387396i	−0.849012	+	0.528373i	$0.822802\pi$
$774$	3.45017	−	4.61582i	0.124014	−	0.165912i
$775$	1.04506	+	0.876913i	0.0375398	+	0.0314996i
$776$	1.94088	−	10.6477i	0.0696734	−	0.382229i
$777$	−6.37120	−	8.32784i	−0.228565	−	0.298760i
$778$	−11.2010	−	47.6692i	−0.401576	−	1.70902i
$779$	1.61740	+	18.2914i	0.0579495	+	0.655356i
$780$	−30.9229	−	1.92042i	−1.10722	−	0.0687622i
$781$	1.61150	−	4.42757i	0.0576641	−	0.158431i
$782$	−55.1352	−	6.55189i	−1.97163	−	0.234295i
$783$	−4.80697	−	13.2070i	−0.171787	−	0.471981i
$784$	−24.7847	+	13.0277i	−0.885166	+	0.465274i
$785$	9.38919	+	7.87846i	0.335115	+	0.281194i
$786$	−4.84731	+	1.13899i	−0.172898	+	0.0406265i
$787$	39.5626			1.41025			0.705127	−	0.709081i	$-0.250890\pi$
$787$	39.5626			1.41025			0.705127	+	0.709081i	$0.250890\pi$
$788$	3.81371	+	0.919372i	0.135858	+	0.0327513i
$789$	−10.1586	−	27.9105i	−0.361656	−	0.993641i
$790$	−47.2274	+	44.3854i	−1.68028	+	1.57916i
$791$	−0.243488	+	5.39884i	−0.00865745	+	0.191961i
$792$	−0.825686	−	0.00476379i	−0.0293395	−	0.000169274i
$793$	−5.44677	+	0.960413i	−0.193421	+	0.0341053i
$794$	18.8854	−	1.06351i	0.670218	−	0.0377426i
$795$	−21.3270	+	3.76052i	−0.756389	+	0.133372i
$796$	−41.2416	−	17.9784i	−1.46177	−	0.637226i
$797$			0.636015i			0.0225288i	0.999937	+	0.0112644i	$0.00358565\pi$
$797$			0.636015i			0.0225288i	−0.999937	+	0.0112644i	$0.996414\pi$
$798$	−23.2328	+	11.1782i	−0.822432	+	0.395705i
$799$			35.7757i			1.26565i
$800$	−46.5342	+	13.4452i	−1.64523	+	0.475361i
$801$	−7.61083	+	1.34200i	−0.268916	+	0.0474171i
$802$	1.15596	+	20.5271i	0.0408183	+	0.724836i
$803$	7.18675	−	1.26722i	0.253615	−	0.0447191i
$804$	35.5792	+	8.57710i	1.25478	+	0.302491i
$805$	42.0765	+	26.8907i	1.48300	+	0.947773i
$806$	−0.410604	−	0.436895i	−0.0144629	−	0.0153890i
$807$	−6.67896	−	18.3503i	−0.235110	−	0.645961i
$808$	0.171371	−	29.7029i	0.00602880	−	1.04494i
$809$	−15.7991			−0.555468			−0.277734	−	0.960658i	$-0.589583\pi$
$809$	−15.7991			−0.555468			−0.277734	+	0.960658i	$0.589583\pi$
$810$	8.63214	+	36.7365i	0.303302	+	1.29079i
$811$	11.2738	+	9.45982i	0.395876	+	0.332179i	0.818897	−	0.573941i	$-0.194586\pi$
$811$	11.2738	+	9.45982i	0.395876	+	0.332179i	−0.423021	+	0.906120i	$0.639030\pi$
$812$	−0.905535	−	13.4070i	−0.0317780	−	0.470494i
$813$	5.86505	+	16.1141i	0.205696	+	0.565146i
$814$	0.243751	−	2.05121i	0.00854347	−	0.0718947i
$815$	8.01358	−	22.0171i	0.280704	−	0.771227i
$816$	−18.8436	−	44.6252i	−0.659658	−	1.56219i
$817$	29.0185	−	20.3592i	1.01523	−	0.712277i
$818$	44.2326	−	10.3935i	1.54656	−	0.363401i
$819$	1.35466	−	3.25719i	0.0473355	−	0.113815i
$820$	28.4435	+	12.3993i	0.993290	+	0.433002i
$821$	−18.3951	−	15.4353i	−0.641994	−	0.538697i	0.262636	−	0.964895i	$-0.415408\pi$
$821$	−18.3951	−	15.4353i	−0.641994	−	0.538697i	−0.904630	+	0.426198i	$0.859853\pi$
$822$	23.5969	+	17.6379i	0.823036	+	0.615192i
$823$	14.2827	+	39.2414i	0.497864	+	1.36787i	0.893335	+	0.449392i	$0.148359\pi$
$823$	14.2827	+	39.2414i	0.497864	+	1.36787i	−0.395471	+	0.918479i	$0.629418\pi$
$824$	32.5150	+	39.2071i	1.13271	+	1.36584i
$825$	6.82956	−	3.94305i	0.237775	−	0.137279i
$826$	7.98393	+	13.4782i	0.277797	+	0.468965i
$827$	−6.90061	+	39.1353i	−0.239958	+	1.36087i	0.591960	+	0.805968i	$0.298355\pi$
$827$	−6.90061	+	39.1353i	−0.239958	+	1.36087i	−0.831917	+	0.554900i	$0.812757\pi$
$828$	−5.12603	−	0.318345i	−0.178142	−	0.0110632i
$829$	18.7552	−	10.8283i	0.651394	−	0.376082i	−0.137596	−	0.990488i	$-0.543938\pi$
$829$	18.7552	−	10.8283i	0.651394	−	0.376082i	0.788990	+	0.614406i	$0.210604\pi$
$830$	−77.8011	+	50.9565i	−2.70051	+	1.76873i
$831$	2.16691	+	12.2892i	0.0751694	+	0.426307i
$832$	21.0055	−	3.45441i	0.728234	−	0.119760i
$833$	−48.5358	−	22.8026i	−1.68166	−	0.790063i
$834$	4.32242	+	10.0737i	0.149673	+	0.348824i
$835$	19.4526	+	33.6928i	0.673184	+	1.16599i
$836$	−4.81659	−	1.61165i	−0.166585	−	0.0557402i
$837$	−0.440889	+	0.763642i	−0.0152393	+	0.0263953i
$838$	12.8981	−	17.2557i	0.445556	−	0.596089i
$839$	2.71941	−	2.28186i	0.0938844	−	0.0787784i	−0.594637	−	0.803994i	$-0.702704\pi$
$839$	2.71941	−	2.28186i	0.0938844	−	0.0787784i	0.688522	+	0.725216i	$0.258260\pi$
$840$	−2.21388	+	43.5093i	−0.0763859	+	1.50121i
$841$	−21.1911	−	7.71294i	−0.730729	−	0.265964i
$842$	2.82700	+	50.2008i	0.0974249	+	1.73003i
$843$	34.9395	−	20.1723i	1.20338	−	0.694772i
$844$	28.8400	−	14.3453i	0.992712	−	0.493787i
$845$	−20.4847	+	7.45583i	−0.704696	+	0.256488i
$846$	0.186062	+	3.30402i	0.00639696	+	0.113595i
$847$	−28.1766	−	1.27077i	−0.968158	−	0.0436641i
$848$	13.7075	−	5.78820i	0.470719	−	0.198767i
$849$	−5.43777	−	0.958826i	−0.186624	−	0.0329068i
$850$	−74.3042	−	55.5398i	−2.54861	−	1.90500i
$851$	2.23110	−	12.6532i	0.0764811	−	0.433746i
$852$	25.4071	−	2.87065i	0.870432	−	0.0983467i
$853$	−2.53814	−	14.3945i	−0.0869042	−	0.492858i	−0.996929	−	0.0783053i	$-0.975049\pi$
$853$	−2.53814	−	14.3945i	−0.0869042	−	0.492858i	0.910025	−	0.414553i	$-0.136062\pi$
$854$	1.43605	+	7.64331i	0.0491405	+	0.261549i
$855$	0.693602	−	8.01361i	0.0237207	−	0.274060i
$856$	3.27724	−	8.84503i	0.112014	−	0.302317i
$857$	6.99143	−	19.2088i	0.238823	−	0.656160i	−0.761148	−	0.648578i	$-0.775364\pi$
$857$	6.99143	−	19.2088i	0.238823	−	0.656160i	0.999971	−	0.00758252i	$-0.00241361\pi$
$858$	−3.18501	+	1.36662i	−0.108734	+	0.0466556i
$859$	−11.0100	+	13.1212i	−0.375657	+	0.447690i	−0.920438	−	0.390888i	$-0.872168\pi$
$859$	−11.0100	+	13.1212i	−0.375657	+	0.447690i	0.544782	+	0.838578i	$0.316613\pi$
$860$	−6.72495	−	59.5201i	−0.229319	−	2.02962i
$861$	11.9220	−	12.9731i	0.406301	−	0.442123i
$862$	−12.2017	−	3.67852i	−0.415590	−	0.125291i
$863$	26.1600	−	45.3104i	0.890496	−	1.54238i	0.0512143	−	0.998688i	$-0.483691\pi$
$863$	26.1600	−	45.3104i	0.890496	−	1.54238i	0.839282	−	0.543697i	$-0.182976\pi$
$864$	−13.7813	−	28.1115i	−0.468848	−	0.956373i
$865$	59.6754	−	71.1183i	2.02902	−	2.41810i
$866$	5.60545	−	18.5933i	0.190481	−	0.631826i
$867$	32.9497	−	57.0705i	1.11903	−	1.93822i
$868$	−0.607837	+	0.584200i	−0.0206313	+	0.0198290i
$869$	−2.47966	+	6.81280i	−0.0841166	+	0.231109i
$870$	−18.6657	−	9.41926i	−0.632826	−	0.319343i
$871$	−30.3351	+	5.34889i	−1.02786	+	0.181240i
$872$	15.9631	−	5.70600i	0.540577	−	0.193229i
$873$	1.66050	−	0.958688i	0.0561993	−	0.0324467i
$874$	−29.3484	−	11.6932i	−0.992726	−	0.395528i
$875$	15.9845	+	30.8139i	0.540375	+	1.04170i
$876$	23.5260	+	31.8559i	0.794869	+	1.07631i
$877$	8.58489	−	23.5868i	0.289891	−	0.796469i	−0.706190	−	0.708023i	$-0.749588\pi$
$877$	8.58489	−	23.5868i	0.289891	−	0.796469i	0.996081	−	0.0884466i	$-0.0281903\pi$
$878$	−31.3685	+	1.76648i	−1.05864	+	0.0596160i
$879$	−17.2070	−	20.5065i	−0.580378	−	0.691667i
$880$	−6.28774	+	5.84141i	−0.211960	+	0.196914i
$881$	15.6600	−	27.1239i	0.527599	−	0.913828i	−0.471884	−	0.881661i	$-0.656426\pi$
$881$	15.6600	−	27.1239i	0.527599	−	0.913828i	0.999483	−	0.0321671i	$-0.0102409\pi$
$882$	−4.60106	−	1.85348i	−0.154926	−	0.0624100i
$883$	19.2549	+	3.39516i	0.647979	+	0.114256i	0.487971	−	0.872860i	$-0.337737\pi$
$883$	19.2549	+	3.39516i	0.647979	+	0.114256i	0.160007	+	0.987116i	$0.448848\pi$
$884$	29.5471	+	28.0918i	0.993777	+	0.944831i
$885$	24.3739			0.819321
$886$	−24.8677	−	26.4600i	−0.835447	−	0.888941i
$887$	0.667933	−	3.78804i	0.0224270	−	0.127190i	−0.971539	−	0.236881i	$-0.923875\pi$
$887$	0.667933	−	3.78804i	0.0224270	−	0.127190i	0.993966	+	0.109691i	$0.0349861\pi$
$888$	10.5554	−	3.77302i	0.354215	−	0.126614i
$889$	−0.137455	−	0.126318i	−0.00461008	−	0.00423655i
$890$	−48.0925	+	64.3408i	−1.61206	+	2.15671i
$891$	2.71347	+	3.23379i	0.0909048	+	0.108336i
$892$	−2.12951	+	34.2896i	−0.0713012	+	1.14810i
$893$	−5.25026	+	19.6673i	−0.175693	+	0.658140i
$894$	8.51857	−	8.00595i	0.284904	−	0.267759i
$895$	−3.56237	−	20.2032i	−0.119077	−	0.675319i
$896$	−5.18742	−	29.4803i	−0.173300	−	0.984869i
$897$	−20.2575	+	7.37314i	−0.676380	+	0.246182i
$898$	19.0677	+	44.4387i	0.636297	+	1.48294i
$899$	−0.138380	−	0.380197i	−0.00461524	−	0.0126803i
$900$	−7.15113	−	4.74288i	−0.238371	−	0.158096i
$901$	24.6792	+	14.2485i	0.822184	+	0.474688i
$902$	3.46549	−	0.195155i	0.115388	−	0.00649797i
$903$	−33.1959	−	7.40940i	−1.10469	−	0.246569i
$904$	−5.41755	−	2.00730i	−0.180185	−	0.0667618i
$905$			53.7711i			1.78741i
$906$	−18.1612	−	27.7288i	−0.603366	−	0.921227i
$907$	−26.9808	+	22.6396i	−0.895884	+	0.751736i	−0.969382	−	0.245559i	$-0.921028\pi$
$907$	−26.9808	+	22.6396i	−0.895884	+	0.751736i	0.0734974	+	0.997295i	$0.476584\pi$
$908$	17.2090	+	4.14859i	0.571102	+	0.137676i
$909$	4.03102	−	3.38243i	0.133700	−	0.112188i
$910$	−12.9254	−	34.3131i	−0.428472	−	1.13747i
$911$	−56.3980			−1.86855			−0.934274	−	0.356556i	$-0.883951\pi$
$911$	−56.3980			−1.86855			−0.934274	+	0.356556i	$0.883951\pi$
$912$	−3.81009	−	27.2976i	−0.126165	−	0.903913i
$913$	−5.20184	+	9.00985i	−0.172156	+	0.298183i
$914$	−5.04262	+	42.4345i	−0.166795	+	1.40361i
$915$	11.3707	+	4.13858i	0.375902	+	0.136817i
$916$	19.0317	−	20.0176i	0.628825	−	0.661400i
$917$	−3.58064	−	4.68029i	−0.118243	−	0.154557i
$918$	27.0132	−	53.5308i	0.891569	−	1.76678i
$919$			12.2983i			0.405684i	0.979211	+	0.202842i	$0.0650178\pi$
$919$			12.2983i			0.405684i	−0.979211	+	0.202842i	$0.934982\pi$
$920$	−41.0911	+	34.0775i	−1.35473	+	1.12350i
$921$	−0.364828	−	0.306127i	−0.0120215	−	0.0100872i
$922$	14.2967	+	21.8284i	0.470837	+	0.718880i
$923$	−18.6367	+	10.7599i	−0.613436	+	0.354167i
$924$	1.97162	+	4.45678i	0.0648616	+	0.146617i
$925$	13.7987	−	16.4446i	0.453698	−	0.540696i
$926$	−5.27978	−	12.3049i	−0.173504	−	0.404365i
$927$	−1.56691	+	8.88641i	−0.0514642	+	0.291868i
$928$	13.9456	+	3.44713i	0.457788	+	0.113158i
$929$	3.46772	−	2.90976i	0.113772	−	0.0954662i	−0.584127	−	0.811662i	$-0.698563\pi$
$929$	3.46772	−	2.90976i	0.113772	−	0.0954662i	0.697899	+	0.716196i	$0.254118\pi$
$930$	0.300051	+	1.27695i	0.00983906	+	0.0418730i
$931$	−23.3356	−	19.6583i	−0.764793	−	0.644276i
$932$	−14.3923	+	7.15889i	−0.471435	+	0.234497i
$933$	33.1426	+	39.4978i	1.08504	+	1.29310i
$934$	−16.8158	−	39.1905i	−0.550230	−	1.28235i
$935$	−16.1872	−	2.85425i	−0.529380	−	0.0933439i
$936$	2.87489	+	2.44072i	0.0939687	+	0.0797775i
$937$	8.62642	+	7.23842i	0.281813	+	0.236469i	0.772726	−	0.634739i	$-0.218892\pi$
$937$	8.62642	+	7.23842i	0.281813	+	0.236469i	−0.490914	+	0.871208i	$0.663337\pi$
$938$	7.99787	+	42.5684i	0.261140	+	1.38991i
$939$	3.85141	+	6.67084i	0.125686	+	0.217695i
$940$	24.9283	+	23.7006i	0.813073	+	0.773027i
$941$	0.864229	−	1.02995i	0.0281731	−	0.0335754i	−0.751774	−	0.659421i	$-0.770802\pi$
$941$	0.864229	−	1.02995i	0.0281731	−	0.0335754i	0.779947	+	0.625846i	$0.215246\pi$
$942$	1.70194	+	7.24309i	0.0554521	+	0.235993i
$943$	21.5897			0.703058
$944$	−16.3248	+	3.73665i	−0.531327	+	0.121618i
$945$	−42.8296	+	32.7667i	−1.39325	+	1.06590i
$946$	−3.67122	−	5.60527i	−0.119362	−	0.182243i
$947$	−7.85002	+	21.5677i	−0.255091	+	0.700857i	0.744361	+	0.667777i	$0.232754\pi$
$947$	−7.85002	+	21.5677i	−0.255091	+	0.700857i	−0.999453	+	0.0330805i	$0.989468\pi$
$948$	−39.0945	+	4.41713i	−1.26973	+	0.143462i
$949$	−28.8650	−	16.6652i	−0.936998	−	0.540976i
$950$	−32.6971	−	41.4369i	−1.06083	−	1.34439i
$951$			0.861830i			0.0279468i
$952$	39.0337	−	41.9864i	1.26509	−	1.36079i
$953$	−13.5514	−	16.1500i	−0.438974	−	0.523149i	0.500515	−	0.865728i	$-0.333144\pi$
$953$	−13.5514	−	16.1500i	−0.438974	−	0.523149i	−0.939489	+	0.342579i	$0.888700\pi$
$954$	2.35332	+	1.18756i	0.0761917	+	0.0384486i
$955$	1.07013	+	1.27533i	0.0346286	+	0.0412688i
$956$	−13.9502	−	13.2631i	−0.451181	−	0.428959i
$957$	−2.33881			−0.0756031
$958$	31.1659	+	33.1615i	1.00692	+	1.07140i
$959$	−7.59513	+	34.0280i	−0.245259	+	1.09882i
$960$	−43.5781	−	16.4330i	−1.40648	−	0.530373i
$961$	15.4873	−	26.8248i	0.499591	−	0.865316i
$962$	−6.87477	+	6.46107i	−0.221652	+	0.208313i
$963$	1.57027	−	0.571532i	0.0506012	−	0.0184173i
$964$	13.3539	−	9.86200i	0.430100	−	0.317634i
$965$	14.7790	+	40.6049i	0.475752	+	1.30712i
$966$	10.6856	+	28.3671i	0.343803	+	0.912696i
$967$	22.5584	−	3.97766i	0.725430	−	0.127913i	0.201274	−	0.979535i	$-0.435492\pi$
$967$	22.5584	−	3.97766i	0.725430	−	0.127913i	0.524156	+	0.851622i	$0.324381\pi$
$968$	10.4761	−	28.2742i	0.336715	−	0.908768i
$969$	37.2913	−	37.3606i	1.19797	−	1.20020i
$970$	5.75253	−	19.0811i	0.184702	−	0.612658i
$971$	20.2719	−	17.0102i	0.650558	−	0.545883i	−0.256682	−	0.966496i	$-0.582629\pi$
$971$	20.2719	−	17.0102i	0.650558	−	0.545883i	0.907240	+	0.420613i	$0.138185\pi$
$972$	4.11554	−	9.44087i	0.132006	−	0.302816i
$973$	−8.77820	+	9.55214i	−0.281416	+	0.306228i
$974$	−6.18423	+	52.0413i	−0.198155	+	1.66751i
$975$	−35.4710	−	6.25450i	−1.13598	−	0.200304i
$976$	−8.25012	−	1.02869i	−0.264080	−	0.0329276i
$977$		−	17.3958i		−	0.556540i	−0.960503	−	0.278270i	$-0.910239\pi$
$977$		−	17.3958i		−	0.556540i	0.960503	−	0.278270i	$-0.0897611\pi$
$978$	11.8982	−	7.79286i	0.380464	−	0.249188i
$979$	−1.56037	+	8.84931i	−0.0498697	+	0.282825i
$980$	−48.0426	+	18.7133i	−1.53466	+	0.597776i
$981$	2.60083	+	1.50159i	0.0830381	+	0.0479421i
$982$	1.58192	+	28.0912i	0.0504812	+	0.896426i
$983$	−20.0648	+	16.8364i	−0.639969	+	0.536998i	−0.904009	−	0.427514i	$-0.859389\pi$
$983$	−20.0648	+	16.8364i	−0.639969	+	0.536998i	0.264040	+	0.964512i	$0.414945\pi$
$984$	9.32359	+	16.3663i	0.297225	+	0.521738i
$985$	6.78800	+	2.47063i	0.216284	+	0.0787208i
$986$	10.8485	+	25.2833i	0.345487	+	0.805183i
$987$	17.3378	−	8.99387i	0.551869	−	0.286278i
$988$	12.1206	+	19.7794i	0.385607	+	0.629265i
$989$	−20.8388	−	36.0939i	−0.662636	−	1.14772i
$990$	−1.50980	−	0.179414i	−0.0479846	−	0.00570216i
$991$	8.76055	+	49.6836i	0.278288	+	1.57825i	0.728319	+	0.685238i	$0.240302\pi$
$991$	8.76055	+	49.6836i	0.278288	+	1.57825i	−0.450031	+	0.893013i	$0.648587\pi$
$992$	−0.396727	−	0.809259i	−0.0125961	−	0.0256940i
$993$	−17.2249	−	6.26934i	−0.546615	−	0.198952i
$994$	15.4221	+	26.0349i	0.489158	+	0.825777i
$995$	−71.7444	−	41.4217i	−2.27445	−	1.31316i
$996$	−56.3483	−	3.49943i	−1.78546	−	0.110884i
$997$	16.6723	+	13.9897i	0.528018	+	0.443059i	0.867416	−	0.497583i	$-0.165779\pi$
$997$	16.6723	+	13.9897i	0.528018	+	0.443059i	−0.339399	+	0.940643i	$0.610224\pi$
$998$	19.4485	+	9.81428i	0.615631	+	0.310666i
$999$	12.0163	+	6.93761i	0.380179	+	0.219496i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	532.2.bs.a.67.15	✓	456
4.3	odd	2	inner	532.2.bs.a.67.28	yes	456
7.2	even	3		532.2.ce.a.219.35	yes	456
19.2	odd	18		532.2.ce.a.515.23	yes	456
28.23	odd	6		532.2.ce.a.219.23	yes	456
76.59	even	18		532.2.ce.a.515.35	yes	456
133.2	odd	18	inner	532.2.bs.a.135.28	yes	456
532.135	even	18	inner	532.2.bs.a.135.15	yes	456

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
532.2.bs.a.67.15	✓	456	1.1	even	1	trivial
532.2.bs.a.67.28	yes	456	4.3	odd	2	inner
532.2.bs.a.135.15	yes	456	532.135	even	18	inner
532.2.bs.a.135.28	yes	456	133.2	odd	18	inner
532.2.ce.a.219.23	yes	456	28.23	odd	6
532.2.ce.a.219.35	yes	456	7.2	even	3
532.2.ce.a.515.23	yes	456	19.2	odd	18
532.2.ce.a.515.35	yes	456	76.59	even	18

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:	\( N \)	\(=\)	\( 532 = 2^{2} \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	532.bs (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.13275 - 0.846690i) q^{2} +(-0.274503 - 1.55678i) q^{3} +(0.566233 + 1.91817i) q^{4} +(0.639503 + 3.62680i) q^{5} +(-1.00717 + 1.99586i) q^{6} +(-2.64306 - 0.119203i) q^{7} +(0.982697 - 2.65223i) q^{8} +(0.470853 - 0.171377i) q^{9} +O(q^{10})\)	\(q+(-1.13275 - 0.846690i) q^{2} +(-0.274503 - 1.55678i) q^{3} +(0.566233 + 1.91817i) q^{4} +(0.639503 + 3.62680i) q^{5} +(-1.00717 + 1.99586i) q^{6} +(-2.64306 - 0.119203i) q^{7} +(0.982697 - 2.65223i) q^{8} +(0.470853 - 0.171377i) q^{9} +(2.34638 - 4.64971i) q^{10} -0.582609i q^{11} +(2.83075 - 1.40805i) q^{12} +(-1.71043 + 2.03841i) q^{13} +(2.89300 + 2.37288i) q^{14} +(5.47060 - 1.99114i) q^{15} +(-3.35876 + 2.17226i) q^{16} +(-7.19876 - 2.62014i) q^{17} +(-0.678461 - 0.204540i) q^{18} +(-3.57292 - 2.49684i) q^{19} +(-6.59472 + 3.28029i) q^{20} +(0.539957 + 4.14740i) q^{21} +(-0.493289 + 0.659949i) q^{22} +(-3.29423 + 3.92591i) q^{23} +(-4.39870 - 0.801803i) q^{24} +(-8.04625 + 2.92860i) q^{25} +(3.66338 - 0.860800i) q^{26} +(-2.76725 - 4.79301i) q^{27} +(-1.26794 - 5.13735i) q^{28} +(2.50088 + 0.440973i) q^{29} +(-7.88268 - 2.37645i) q^{30} +(-0.0796620 - 0.137979i) q^{31} +(5.64386 + 0.383203i) q^{32} +(-0.906996 + 0.159928i) q^{33} +(5.93594 + 9.06307i) q^{34} +(-1.25792 - 9.66210i) q^{35} +(0.595342 + 0.806138i) q^{36} +(-2.17116 + 1.25352i) q^{37} +(1.93316 + 5.85345i) q^{38} +(3.64288 + 2.10322i) q^{39} +(10.2475 + 1.86794i) q^{40} +(-2.70787 - 3.22711i) q^{41} +(2.89993 - 5.15513i) q^{42} +(-2.78143 + 7.64191i) q^{43} +(1.11754 - 0.329892i) q^{44} +(0.922661 + 1.59810i) q^{45} +(7.05556 - 1.65788i) q^{46} +(-1.59723 - 4.38835i) q^{47} +(4.30373 + 4.63257i) q^{48} +(6.97158 + 0.630120i) q^{49} +(11.5940 + 3.49532i) q^{50} +(-2.10290 + 11.9262i) q^{51} +(-4.87852 - 2.12668i) q^{52} +(-3.66336 - 0.645950i) q^{53} +(-0.923603 + 7.77227i) q^{54} +(2.11301 - 0.372580i) q^{55} +(-2.91348 + 6.89287i) q^{56} +(-2.90627 + 6.24766i) q^{57} +(-2.45950 - 2.61698i) q^{58} +(3.93425 + 1.43195i) q^{59} +(6.91697 + 9.36610i) q^{60} +(1.59223 + 1.33604i) q^{61} +(-0.0265882 + 0.223744i) q^{62} +(-1.26492 + 0.396833i) q^{63} +(-6.06861 - 5.21267i) q^{64} +(-8.48672 - 4.89981i) q^{65} +(1.16281 + 0.586787i) q^{66} +(8.86768 + 7.44087i) q^{67} +(0.949692 - 15.2921i) q^{68} +(7.01608 + 4.05073i) q^{69} +(-6.75589 + 12.0098i) q^{70} +(7.59955 + 2.76601i) q^{71} +(0.00817665 - 1.41722i) q^{72} +(2.17507 + 12.3355i) q^{73} +(3.52073 + 0.418379i) q^{74} +(6.76791 + 11.7224i) q^{75} +(2.76627 - 8.26727i) q^{76} +(-0.0694485 + 1.53987i) q^{77} +(-2.34569 - 5.46680i) q^{78} +(-11.6936 - 4.25613i) q^{79} +(-10.0263 - 10.7924i) q^{80} +(-5.55054 + 4.65745i) q^{81} +(0.334968 + 5.94823i) q^{82} +(-15.4647 - 8.92853i) q^{83} +(-7.64969 + 3.38412i) q^{84} +(4.89908 - 27.7841i) q^{85} +(9.62099 - 6.30135i) q^{86} -4.01438i q^{87} +(-1.54521 - 0.572528i) q^{88} +(-15.1891 - 2.67825i) q^{89} +(0.307949 - 2.59145i) q^{90} +(4.76376 - 5.18376i) q^{91} +(-9.39588 - 4.09592i) q^{92} +(-0.192935 + 0.161892i) q^{93} +(-1.90632 + 6.32325i) q^{94} +(6.77066 - 14.5550i) q^{95} +(-0.952692 - 8.89146i) q^{96} +(3.76841 - 0.664473i) q^{97} +(-7.36352 - 6.61653i) q^{98} +(-0.0998455 - 0.274323i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9}+O(q^{10}) \) 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9	\( 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9} + 15 q^{10} - 36 q^{13} + 15 q^{14} - 3 q^{16} - 6 q^{17} - 24 q^{20} - 18 q^{21} - 6 q^{22} - 12 q^{24} - 6 q^{25} - 6 q^{26} - 27 q^{28} - 24 q^{29} + 3 q^{30} + 12 q^{32} + 66 q^{33} - 12 q^{34} - 81 q^{36} - 72 q^{38} - 33 q^{40} - 36 q^{41} - 87 q^{42} + 12 q^{44} + 6 q^{45} - 45 q^{48} - 6 q^{49} - 45 q^{50} - 3 q^{52} + 6 q^{53} - 39 q^{54} - 24 q^{57} - 42 q^{58} + 66 q^{60} - 18 q^{61} + 3 q^{62} - 6 q^{64} + 18 q^{65} + 75 q^{66} - 39 q^{68} - 36 q^{69} + 9 q^{70} - 54 q^{72} + 30 q^{73} - 57 q^{74} - 84 q^{76} - 18 q^{77} - 9 q^{78} - 3 q^{80} - 24 q^{81} + 117 q^{82} - 9 q^{84} - 78 q^{86} - 9 q^{88} - 30 q^{89} - 48 q^{90} + 30 q^{92} + 42 q^{93} - 57 q^{96} - 24 q^{97} + 60 q^{98}+O(q^{100}) \) 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9 + 15 * q^10 - 36 * q^13 + 15 * q^14 - 3 * q^16 - 6 * q^17 - 24 * q^20 - 18 * q^21 - 6 * q^22 - 12 * q^24 - 6 * q^25 - 6 * q^26 - 27 * q^28 - 24 * q^29 + 3 * q^30 + 12 * q^32 + 66 * q^33 - 12 * q^34 - 81 * q^36 - 72 * q^38 - 33 * q^40 - 36 * q^41 - 87 * q^42 + 12 * q^44 + 6 * q^45 - 45 * q^48 - 6 * q^49 - 45 * q^50 - 3 * q^52 + 6 * q^53 - 39 * q^54 - 24 * q^57 - 42 * q^58 + 66 * q^60 - 18 * q^61 + 3 * q^62 - 6 * q^64 + 18 * q^65 + 75 * q^66 - 39 * q^68 - 36 * q^69 + 9 * q^70 - 54 * q^72 + 30 * q^73 - 57 * q^74 - 84 * q^76 - 18 * q^77 - 9 * q^78 - 3 * q^80 - 24 * q^81 + 117 * q^82 - 9 * q^84 - 78 * q^86 - 9 * q^88 - 30 * q^89 - 48 * q^90 + 30 * q^92 + 42 * q^93 - 57 * q^96 - 24 * q^97 + 60 * q^98

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