LMFDB - Embedded newform 483.2.bc.a.11.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(11,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 44, 27]))

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

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

chi := DirichletCharacter("483.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bc (of order $66$, degree $20$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			11.7
Character	$\chi$	$=$	483.11
Dual form			483.2.bc.a.44.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.07488 + 2.08498i) q^{2} +(0.382326 - 1.68933i) q^{3} +(-2.03164 - 2.85304i) q^{4} +(2.47963 + 2.36432i) q^{5} +(3.11125 + 2.61296i) q^{6} +(-0.426197 + 2.61120i) q^{7} +(3.48857 - 0.501581i) q^{8} +(-2.70765 - 1.29175i) q^{9} +O(q^{10})$	\(q+(-1.07488 + 2.08498i) q^{2} +(0.382326 - 1.68933i) q^{3} +(-2.03164 - 2.85304i) q^{4} +(2.47963 + 2.36432i) q^{5} +(3.11125 + 2.61296i) q^{6} +(-0.426197 + 2.61120i) q^{7} +(3.48857 - 0.501581i) q^{8} +(-2.70765 - 1.29175i) q^{9} +(-7.59486 + 2.62861i) q^{10} +(2.26231 - 1.16630i) q^{11} +(-5.59647 + 2.34132i) q^{12} +(-1.12547 + 1.29886i) q^{13} +(-4.98617 - 3.69533i) q^{14} +(4.94214 - 3.28496i) q^{15} +(-0.412906 + 1.19301i) q^{16} +(1.64611 + 0.157184i) q^{17} +(5.60366 - 4.25692i) q^{18} +(0.616042 + 6.45148i) q^{19} +(1.70779 - 11.8779i) q^{20} +(4.24822 + 1.71831i) q^{21} +5.97048i q^{22} +(4.74218 - 0.715337i) q^{23} +(0.486437 - 6.08510i) q^{24} +(0.320635 + 6.73095i) q^{25} +(-1.49835 - 3.74270i) q^{26} +(-3.21739 + 4.08024i) q^{27} +(8.31574 - 4.08906i) q^{28} +(-5.24168 + 2.39379i) q^{29} +(1.53686 + 13.8352i) q^{30} +(-5.55756 - 2.22491i) q^{31} +(2.82071 + 2.95828i) q^{32} +(-1.10532 - 4.26768i) q^{33} +(-2.09709 + 3.26314i) q^{34} +(-7.23052 + 5.46714i) q^{35} +(1.81557 + 10.3494i) q^{36} +(-0.349023 + 0.0846719i) q^{37} +(-14.1134 - 5.65014i) q^{38} +(1.76391 + 2.39788i) q^{39} +(9.83626 + 7.00437i) q^{40} +(3.46090 + 11.7867i) q^{41} +(-8.14897 + 7.01046i) q^{42} +(-1.22588 - 0.176255i) q^{43} +(-7.92370 - 4.08495i) q^{44} +(-3.65987 - 9.60482i) q^{45} +(-3.60582 + 10.6562i) q^{46} +(9.72091 - 5.61237i) q^{47} +(1.85752 + 1.15365i) q^{48} +(-6.63671 - 2.22577i) q^{49} +(-14.3785 - 6.56645i) q^{50} +(0.894886 - 2.72072i) q^{51} +(5.99226 + 0.572191i) q^{52} +(-0.0311413 + 0.00600200i) q^{53} +(-5.04890 - 11.0940i) q^{54} +(8.36719 + 2.45683i) q^{55} +(-0.177090 + 9.32312i) q^{56} +(11.1342 + 1.42587i) q^{57} +(0.643171 - 13.5018i) q^{58} +(2.69211 - 0.931747i) q^{59} +(-19.4128 - 7.42627i) q^{60} +(3.30023 + 4.19658i) q^{61} +(10.6126 - 9.19586i) q^{62} +(4.52700 - 6.51968i) q^{63} +(-11.6225 + 3.41267i) q^{64} +(-5.86168 + 0.559722i) q^{65} +(10.0861 + 2.28267i) q^{66} +(-3.14630 + 0.149877i) q^{67} +(-2.89585 - 5.01576i) q^{68} +(0.604622 - 8.28459i) q^{69} +(-3.62691 - 20.9520i) q^{70} +(2.04272 + 3.17853i) q^{71} +(-10.0938 - 3.14825i) q^{72} +(-5.32510 - 7.47806i) q^{73} +(0.198618 - 0.818716i) q^{74} +(11.4934 + 2.03176i) q^{75} +(17.1548 - 14.8647i) q^{76} +(2.08125 + 6.40440i) q^{77} +(-6.89550 + 1.10027i) q^{78} +(0.975635 - 5.06207i) q^{79} +(-3.84452 + 1.98199i) q^{80} +(5.66278 + 6.99521i) q^{81} +(-28.2951 - 5.45343i) q^{82} +(0.0984907 + 0.0289195i) q^{83} +(-3.72844 - 15.6114i) q^{84} +(3.71010 + 4.28169i) q^{85} +(1.68516 - 2.36648i) q^{86} +(2.03987 + 9.77012i) q^{87} +(7.30722 - 5.20345i) q^{88} +(-2.98138 + 1.19356i) q^{89} +(23.9597 + 2.69329i) q^{90} +(-2.91191 - 3.49240i) q^{91} +(-11.6753 - 12.0763i) q^{92} +(-5.88340 + 8.53789i) q^{93} +(1.25285 + 26.3005i) q^{94} +(-13.7258 + 17.4538i) q^{95} +(6.07593 - 3.63408i) q^{96} +(-4.04022 - 13.7597i) q^{97} +(11.7743 - 11.4450i) q^{98} +(-7.63211 + 0.235607i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9	$ 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28} - 55 q^{30} - 18 q^{31} - 11 q^{33} - 88 q^{34} - 108 q^{36} - 66 q^{37} + q^{39} - 22 q^{40} - 22 q^{42} - 2 q^{46} - 228 q^{48} - 128 q^{49} - 11 q^{51} - 166 q^{52} + 35 q^{54} - 160 q^{55} - 44 q^{57} - 126 q^{58} - 11 q^{60} + 66 q^{61} + 33 q^{63} + 40 q^{64} + 22 q^{66} - 22 q^{67} - 24 q^{69} + 68 q^{70} - 149 q^{72} - 42 q^{73} + 123 q^{75} - 88 q^{76} - 108 q^{78} - 66 q^{79} - 81 q^{81} - 14 q^{82} + 44 q^{84} - 200 q^{85} + 75 q^{87} + 66 q^{88} + 16 q^{93} - 146 q^{94} + 5 q^{96} - 88 q^{97} - 308 q^{99}+O(q^{100}) $ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−1.07488	+	2.08498i	−0.760055	+	1.47430i	0.116600	+	0.993179i	$0.462801\pi$
$2$	−1.07488	+	2.08498i	−0.760055	+	1.47430i	−0.876654	+	0.481121i	$0.840230\pi$
$3$	0.382326	−	1.68933i	0.220736	−	0.975334i
$3$	0.382326	−	1.68933i	0.220736	−	0.975334i
$4$	−2.03164	−	2.85304i	−1.01582	−	1.42652i
$5$	2.47963	+	2.36432i	1.10892	+	1.05736i	0.997980	+	0.0635305i	$0.0202360\pi$
$5$	2.47963	+	2.36432i	1.10892	+	1.05736i	0.110944	+	0.993827i	$0.464612\pi$
$6$	3.11125	+	2.61296i	1.27016	+	1.06674i
$7$	−0.426197	+	2.61120i	−0.161087	+	0.986940i
$7$	−0.426197	+	2.61120i	−0.161087	+	0.986940i
$8$	3.48857	−	0.501581i	1.23340	−	0.177336i
$9$	−2.70765	−	1.29175i	−0.902551	−	0.430583i
$10$	−7.59486	+	2.62861i	−2.40170	+	0.831238i
$11$	2.26231	−	1.16630i	0.682111	−	0.351653i	−0.0820954	−	0.996624i	$-0.526161\pi$
$11$	2.26231	−	1.16630i	0.682111	−	0.351653i	0.764206	+	0.644972i	$0.223131\pi$
$12$	−5.59647	+	2.34132i	−1.61556	+	0.675880i
$13$	−1.12547	+	1.29886i	−0.312149	+	0.360239i	−0.890046	−	0.455870i	$-0.849328\pi$
$13$	−1.12547	+	1.29886i	−0.312149	+	0.360239i	0.577897	+	0.816110i	$0.303874\pi$
$14$	−4.98617	−	3.69533i	−1.33261	−	0.987619i
$15$	4.94214	−	3.28496i	1.27606	−	0.848174i
$16$	−0.412906	+	1.19301i	−0.103226	+	0.298253i
$17$	1.64611	+	0.157184i	0.399240	+	0.0381228i	0.292745	−	0.956190i	$-0.405431\pi$
$17$	1.64611	+	0.157184i	0.399240	+	0.0381228i	0.106495	+	0.994313i	$0.466037\pi$
$18$	5.60366	−	4.25692i	1.32080	−	1.00337i
$19$	0.616042	+	6.45148i	0.141330	+	1.48007i	0.736481	+	0.676458i	$0.236486\pi$
$19$	0.616042	+	6.45148i	0.141330	+	1.48007i	−0.595151	+	0.803614i	$0.702908\pi$
$20$	1.70779	−	11.8779i	0.381874	−	2.65599i
$21$	4.24822	+	1.71831i	0.927038	+	0.374967i
$22$			5.97048i			1.27291i
$23$	4.74218	−	0.715337i	0.988813	−	0.149158i
$23$	4.74218	−	0.715337i	0.988813	−	0.149158i
$24$	0.486437	−	6.08510i	0.0992936	−	1.24212i
$25$	0.320635	+	6.73095i	0.0641270	+	1.34619i
$26$	−1.49835	−	3.74270i	−0.293851	−	0.734003i
$27$	−3.21739	+	4.08024i	−0.619187	+	0.785243i
$28$	8.31574	−	4.08906i	1.57153	−	0.772761i
$29$	−5.24168	+	2.39379i	−0.973355	+	0.444517i	−0.837635	−	0.546231i	$-0.816062\pi$
$29$	−5.24168	+	2.39379i	−0.973355	+	0.444517i	−0.135721	+	0.990747i	$0.543335\pi$
$30$	1.53686	+	13.8352i	0.280592	+	2.52595i
$31$	−5.55756	−	2.22491i	−0.998167	−	0.399606i	−0.185696	−	0.982607i	$-0.559454\pi$
$31$	−5.55756	−	2.22491i	−0.998167	−	0.399606i	−0.812471	+	0.583002i	$0.801878\pi$
$32$	2.82071	+	2.95828i	0.498636	+	0.522954i
$33$	−1.10532	−	4.26768i	−0.192412	−	0.742908i
$34$	−2.09709	+	3.26314i	−0.359649	+	0.559624i
$35$	−7.23052	+	5.46714i	−1.22218	+	0.924115i
$36$	1.81557	+	10.3494i	0.302595	+	1.72490i
$37$	−0.349023	+	0.0846719i	−0.0573790	+	0.0139200i	−0.264346	−	0.964428i	$-0.585156\pi$
$37$	−0.349023	+	0.0846719i	−0.0573790	+	0.0139200i	0.206967	+	0.978348i	$0.433641\pi$
$38$	−14.1134	−	5.65014i	−2.28949	−	0.916573i
$39$	1.76391	+	2.39788i	0.282451	+	0.383967i
$40$	9.83626	+	7.00437i	1.55525	+	1.10749i
$41$	3.46090	+	11.7867i	0.540501	+	1.84078i	0.541378	+	0.840779i	$0.317903\pi$
$41$	3.46090	+	11.7867i	0.540501	+	1.84078i	−0.000876988		1.00000i	$0.500279\pi$
$42$	−8.14897	+	7.01046i	−1.25741	+	1.08174i
$43$	−1.22588	−	0.176255i	−0.186945	−	0.0268786i	0.0482064	−	0.998837i	$-0.484649\pi$
$43$	−1.22588	−	0.176255i	−0.186945	−	0.0268786i	−0.235151	+	0.971959i	$0.575559\pi$
$44$	−7.92370	−	4.08495i	−1.19454	−	0.615830i
$45$	−3.65987	−	9.60482i	−0.545581	−	1.43180i
$46$	−3.60582	+	10.6562i	−0.531648	+	1.57118i
$47$	9.72091	−	5.61237i	1.41794	−	0.818648i	0.421823	−	0.906678i	$-0.361390\pi$
$47$	9.72091	−	5.61237i	1.41794	−	0.818648i	0.996118	+	0.0880299i	$0.0280571\pi$
$48$	1.85752	+	1.15365i	0.268111	+	0.166515i
$49$	−6.63671	−	2.22577i	−0.948102	−	0.317967i
$50$	−14.3785	−	6.56645i	−2.03343	−	0.928636i
$51$	0.894886	−	2.72072i	0.125309	−	0.380977i
$52$	5.99226	+	0.572191i	0.830977	+	0.0793487i
$53$	−0.0311413	+	0.00600200i	−0.00427759	+	0.000824437i	−0.191390	−	0.981514i	$-0.561299\pi$
$53$	−0.0311413	+	0.00600200i	−0.00427759	+	0.000824437i	0.187112	+	0.982339i	$0.440087\pi$
$54$	−5.04890	−	11.0940i	−0.687068	−	1.50970i
$55$	8.36719	+	2.45683i	1.12823	+	0.331279i
$56$	−0.177090	+	9.32312i	−0.0236646	+	1.24585i
$57$	11.1342	+	1.42587i	1.47476	+	0.188862i
$58$	0.643171	−	13.5018i	0.0844524	−	1.77287i
$59$	2.69211	−	0.931747i	0.350482	−	0.121303i	−0.146154	−	0.989262i	$-0.546689\pi$
$59$	2.69211	−	0.931747i	0.350482	−	0.121303i	0.496636	+	0.867959i	$0.334568\pi$
$60$	−19.4128	−	7.42627i	−2.50618	−	0.958727i
$61$	3.30023	+	4.19658i	0.422551	+	0.537317i	0.949992	−	0.312274i	$-0.101091\pi$
$61$	3.30023	+	4.19658i	0.422551	+	0.537317i	−0.527441	+	0.849592i	$0.676848\pi$
$62$	10.6126	−	9.19586i	1.34780	−	1.16788i
$63$	4.52700	−	6.51968i	0.570349	−	0.821403i
$64$	−11.6225	+	3.41267i	−1.45281	+	0.426583i
$65$	−5.86168	+	0.559722i	−0.727051	+	0.0694250i
$66$	10.0861	+	2.28267i	1.24151	+	0.280977i
$67$	−3.14630	+	0.149877i	−0.384382	+	0.0183104i	−0.238884	−	0.971048i	$-0.576781\pi$
$67$	−3.14630	+	0.149877i	−0.384382	+	0.0183104i	−0.145498	+	0.989359i	$0.546478\pi$
$68$	−2.89585	−	5.01576i	−0.351173	−	0.608250i
$69$	0.604622	−	8.28459i	0.0727880	−	0.997347i
$70$	−3.62691	−	20.9520i	−0.433499	−	2.50424i
$71$	2.04272	+	3.17853i	0.242426	+	0.377222i	0.941050	−	0.338267i	$-0.109841\pi$
$71$	2.04272	+	3.17853i	0.242426	+	0.377222i	−0.698625	+	0.715488i	$0.746204\pi$
$72$	−10.0938	−	3.14825i	−1.18956	−	0.371024i
$73$	−5.32510	−	7.47806i	−0.623256	−	0.875240i	0.375411	−	0.926858i	$-0.377502\pi$
$73$	−5.32510	−	7.47806i	−0.623256	−	0.875240i	−0.998667	+	0.0516180i	$0.983562\pi$
$74$	0.198618	−	0.818716i	0.0230889	−	0.0951737i
$75$	11.4934	+	2.03176i	1.32714	+	0.234608i
$76$	17.1548	−	14.8647i	1.96779	−	1.70510i
$77$	2.08125	+	6.40440i	0.237181	+	0.729849i
$78$	−6.89550	+	1.10027i	−0.780761	+	0.124581i
$79$	0.975635	−	5.06207i	0.109767	−	0.569528i	−0.884847	−	0.465882i	$-0.845737\pi$
$79$	0.975635	−	5.06207i	0.109767	−	0.569528i	0.994614	−	0.103646i	$-0.0330508\pi$
$80$	−3.84452	+	1.98199i	−0.429830	+	0.221593i
$81$	5.66278	+	6.99521i	0.629197	+	0.777246i
$82$	−28.2951	−	5.45343i	−3.12467	−	0.602231i
$83$	0.0984907	+	0.0289195i	0.0108108	+	0.00317432i	0.287133	−	0.957891i	$-0.407298\pi$
$83$	0.0984907	+	0.0289195i	0.0108108	+	0.00317432i	−0.276323	+	0.961065i	$0.589116\pi$
$84$	−3.72844	−	15.6114i	−0.406807	−	1.70334i
$85$	3.71010	+	4.28169i	0.402417	+	0.464414i
$86$	1.68516	−	2.36648i	0.181716	−	0.255184i
$87$	2.03987	+	9.77012i	0.218697	+	1.04747i
$88$	7.30722	−	5.20345i	0.778952	−	0.554689i
$89$	−2.98138	+	1.19356i	−0.316025	+	0.126517i	−0.524252	−	0.851563i	$-0.675655\pi$
$89$	−2.98138	+	1.19356i	−0.316025	+	0.126517i	0.208227	+	0.978081i	$0.433231\pi$
$90$	23.9597	+	2.69329i	2.52558	+	0.283897i
$91$	−2.91191	−	3.49240i	−0.305251	−	0.366103i
$92$	−11.6753	−	12.0763i	−1.21723	−	1.25905i
$93$	−5.88340	+	8.53789i	−0.610080	+	0.885338i
$94$	1.25285	+	26.3005i	0.129221	+	2.71269i
$95$	−13.7258	+	17.4538i	−1.40824	+	1.79072i
$96$	6.07593	−	3.63408i	0.620122	−	0.370902i
$97$	−4.04022	−	13.7597i	−0.410222	−	1.39709i	−0.862882	−	0.505405i	$-0.831343\pi$
$97$	−4.04022	−	13.7597i	−0.410222	−	1.39709i	0.452660	−	0.891683i	$-0.350475\pi$
$98$	11.7743	−	11.4450i	1.18939	−	1.15611i
$99$	−7.63211	+	0.235607i	−0.767055	+	0.0236794i
$100$	18.5523	−	14.5897i	1.85523	−	1.45897i
$101$	−11.4672	−	12.0265i	−1.14103	−	1.19668i	−0.977678	−	0.210109i	$-0.932618\pi$
$101$	−11.4672	−	12.0265i	−1.14103	−	1.19668i	−0.163351	−	0.986568i	$-0.552230\pi$
$102$	4.71074	+	4.79026i	0.466433	+	0.474306i
$103$	14.2729	+	0.679901i	1.40635	+	0.0669926i	0.736968	−	0.675927i	$-0.236257\pi$
$103$	14.2729	+	0.679901i	1.40635	+	0.0669926i	0.669380	+	0.742920i	$0.266560\pi$
$104$	−3.27480	+	5.09568i	−0.321120	+	0.499673i
$105$	6.47137	+	14.3050i	0.631541	+	1.39602i
$106$	0.0209591	−	0.0713803i	0.00203573	−	0.00693307i
$107$	1.14007	−	0.896564i	0.110215	−	0.0866741i	−0.561530	−	0.827456i	$-0.689787\pi$
$107$	1.14007	−	0.896564i	0.110215	−	0.0866741i	0.671746	+	0.740782i	$0.265545\pi$
$108$	18.1777	+	0.889756i	1.74915	+	0.0856168i
$109$	0.865204	−	9.06083i	0.0828715	−	0.867870i	−0.854480	−	0.519485i	$-0.826124\pi$
$109$	0.865204	−	9.06083i	0.0828715	−	0.867870i	0.937351	−	0.348385i	$-0.113270\pi$
$110$	−14.1161	+	14.8046i	−1.34592	+	1.41156i
$111$	0.00959823	+	0.621986i	0.000911024	+	0.0590363i
$112$	−2.93921	−	1.58664i	−0.277730	−	0.149923i
$113$	10.1894	−	6.54832i	0.958537	−	0.616014i	0.0349440	−	0.999389i	$-0.488875\pi$
$113$	10.1894	−	6.54832i	0.958537	−	0.616014i	0.923593	+	0.383375i	$0.125238\pi$
$114$	−14.9408	+	21.6819i	−1.39934	+	2.03069i
$115$	13.4501	+	9.43828i	1.25423	+	0.880124i
$116$	17.4788	+	10.0914i	1.62287	+	0.936963i
$117$	4.72518	−	2.06304i	0.436843	−	0.190728i
$118$	−0.951021	+	6.61449i	−0.0875485	+	0.608913i
$119$	−1.11200	+	4.23132i	−0.101937	+	0.387885i
$120$	15.5933	−	13.9387i	1.42347	−	1.27242i
$121$	−2.62285	+	3.68328i	−0.238441	+	0.334844i
$122$	−12.2971	+	2.37007i	−1.11333	+	0.214576i
$123$	21.2348	−	1.34021i	1.91468	−	0.120843i
$124$	4.94320	+	20.3762i	0.443913	+	1.82983i
$125$	−3.90079	+	4.50176i	−0.348898	+	0.402649i
$126$	8.72739	+	16.4466i	0.777498	+	1.46518i
$127$	7.17384	+	4.61035i	0.636576	+	0.409102i	0.818739	−	0.574166i	$-0.194674\pi$
$127$	7.17384	+	4.61035i	0.636576	+	0.409102i	−0.182163	+	0.983268i	$0.558310\pi$
$128$	3.83030	−	19.8735i	0.338554	−	1.75658i
$129$	−0.766438	+	2.00353i	−0.0674811	+	0.176401i
$130$	5.13359	−	12.8231i	0.450246	−	1.12466i
$131$	17.0285	+	5.89362i	1.48779	+	0.514928i	0.945601	−	0.325330i	$-0.105475\pi$
$131$	17.0285	+	5.89362i	1.48779	+	0.514928i	0.542187	+	0.840258i	$0.317597\pi$
$132$	−9.93026	+	11.8239i	−0.864318	+	1.02914i
$133$	−17.1087	−	1.14099i	−1.48351	−	0.0989366i
$134$	3.06940	−	6.72105i	0.265156	−	0.580611i
$135$	−17.6250	+	2.51055i	−1.51691	+	0.216073i
$136$	5.82140	−	0.277308i	0.499181	−	0.0237789i
$137$	5.56172	−	9.63319i	0.475170	−	0.823019i	−0.524425	−	0.851456i	$-0.675720\pi$
$137$	5.56172	−	9.63319i	0.475170	−	0.823019i	0.999596	+	0.0284375i	$0.00905316\pi$
$138$	16.6233	+	10.1656i	1.41507	+	0.865350i
$139$	18.0341			1.52963			0.764816	−	0.644248i	$-0.222830\pi$
$139$	18.0341			1.52963			0.764816	+	0.644248i	$0.222830\pi$
$140$	30.2878	+	9.52172i	2.55979	+	0.804732i
$141$	−5.76457	−	18.5676i	−0.485465	−	1.56367i
$142$	−8.82282	+	0.842477i	−0.740395	+	0.0706991i
$143$	−1.03130	+	4.25106i	−0.0862412	+	0.355491i
$144$	2.65908	−	2.69690i	0.221590	−	0.224741i
$145$	−18.6571	−	6.45729i	−1.54939	−	0.536249i
$146$	21.3154	−	3.06469i	1.76408	−	0.253636i
$147$	−6.29744	+	10.3606i	−0.519404	+	0.854529i
$148$	0.950662	+	0.823753i	0.0781439	+	0.0677121i
$149$	0.955237	−	20.0529i	0.0782561	−	1.64280i	−0.529238	−	0.848473i	$-0.677522\pi$
$149$	0.955237	−	20.0529i	0.0782561	−	1.64280i	0.607494	−	0.794324i	$-0.292175\pi$
$150$	−16.5902	+	21.7795i	−1.35458	+	1.77829i
$151$	−5.36587	−	15.5037i	−0.436668	−	1.26167i	−0.921949	−	0.387311i	$-0.873404\pi$
$151$	−5.36587	−	15.5037i	−0.436668	−	1.26167i	0.485281	−	0.874358i	$-0.338717\pi$
$152$	5.38505	+	22.1975i	0.436785	+	1.80045i
$153$	−4.25405	−	2.55196i	−0.343919	−	0.206313i
$154$	−15.5901	−	2.54460i	−1.25629	−	0.205050i
$155$	−8.52028	−	18.6568i	−0.684365	−	1.49855i
$156$	3.25762	−	9.90412i	0.260818	−	0.792965i
$157$	11.0415	−	7.86262i	0.881209	−	0.627506i	−0.0472739	−	0.998882i	$-0.515053\pi$
$157$	11.0415	−	7.86262i	0.881209	−	0.627506i	0.928482	+	0.371376i	$0.121114\pi$
$158$	9.50561	+	7.47529i	0.756226	+	0.594702i
$159$	−0.00176680	+	0.0549026i	−0.000140116	+	0.00435406i
$160$			14.0045i			1.10715i
$161$	−0.153216	+	12.6877i	−0.0120751	+	0.999927i
$162$	−20.6716	+	4.28774i	−1.62412	+	0.336877i
$163$	1.01594	+	0.523753i	0.0795745	+	0.0410235i	0.497554	−	0.867433i	$-0.334231\pi$
$163$	1.01594	+	0.523753i	0.0795745	+	0.0410235i	−0.417980	+	0.908456i	$0.637262\pi$
$164$	26.5967	−	33.8205i	2.07686	−	2.64094i
$165$	7.34938	−	13.1956i	0.572149	−	1.02728i
$166$	−0.166162	+	0.174266i	−0.0128967	+	0.0135256i
$167$	−2.40653	+	1.09903i	−0.186223	+	0.0850453i	−0.506345	−	0.862331i	$-0.669004\pi$
$167$	−2.40653	+	1.09903i	−0.186223	+	0.0850453i	0.320121	+	0.947377i	$0.396276\pi$
$168$	15.6821	+	3.86363i	1.20990	+	0.298086i
$169$	1.42973	+	9.94402i	0.109980	+	0.764925i
$170$	−12.9151	+	3.13318i	−0.990545	+	0.240304i
$171$	6.66566	−	18.2642i	0.509736	−	1.39669i
$172$	1.98769	+	3.85557i	0.151560	+	0.293985i
$173$	−12.1960	−	0.580967i	−0.927244	−	0.0441701i	−0.421476	−	0.906840i	$-0.638488\pi$
$173$	−12.1960	−	0.580967i	−0.927244	−	0.0441701i	−0.505768	+	0.862670i	$0.668791\pi$
$174$	−22.5631	−	6.24862i	−1.71050	−	0.473707i
$175$	−17.7125	−	2.03147i	−1.33894	−	0.153565i
$176$	0.457291	+	3.18053i	0.0344696	+	0.239742i
$177$	−0.544764	−	4.90408i	−0.0409469	−	0.368613i
$178$	0.716071	−	7.49903i	0.0536718	−	0.562076i
$179$	3.81406	+	0.925282i	0.285076	+	0.0691588i	0.375747	−	0.926722i	$-0.377386\pi$
$179$	3.81406	+	0.925282i	0.285076	+	0.0691588i	−0.0906710	+	0.995881i	$0.528901\pi$
$180$	−19.9674	+	29.9553i	−1.48828	+	2.23274i
$181$	−16.2132	−	2.33111i	−1.20512	−	0.173270i	−0.489652	−	0.871918i	$-0.662876\pi$
$181$	−16.2132	−	2.33111i	−1.20512	−	0.173270i	−0.715465	+	0.698648i	$0.753785\pi$
$182$	10.4115	−	2.31736i	0.771753	−	0.171774i
$183$	8.35116	−	3.97070i	0.617336	−	0.293523i
$184$	16.1846	−	4.87409i	1.19315	−	0.359323i
$185$	−1.06564	−	0.615247i	−0.0783473	−	0.0452338i
$186$	−11.4773	−	21.4439i	−0.841560	−	1.57235i
$187$	3.90732	−	1.56426i	0.285732	−	0.114390i
$188$	−35.7617	−	16.3318i	−2.60819	−	1.19112i
$189$	−9.28309	−	10.1402i	−0.675245	−	0.737593i
$190$	−21.6372	−	47.3788i	−1.56972	−	3.43722i
$191$	−0.187649	+	0.542175i	−0.0135778	+	0.0392304i	−0.951586	−	0.307382i	$-0.900547\pi$
$191$	−0.187649	+	0.542175i	−0.0135778	+	0.0392304i	0.938008	+	0.346613i	$0.112668\pi$
$192$	1.32154	+	20.9389i	0.0953736	+	1.51114i
$193$	4.83271	−	4.60798i	0.347866	−	0.331690i	−0.495921	−	0.868368i	$-0.665170\pi$
$193$	4.83271	−	4.60798i	0.347866	−	0.331690i	0.843787	+	0.536678i	$0.180321\pi$
$194$	33.0314	+	6.36629i	2.37152	+	0.457073i
$195$	−1.29552	+	10.1163i	−0.0927739	+	0.724442i
$196$	7.13322	+	23.4568i	0.509516	+	1.67548i
$197$	−17.9827	−	15.5821i	−1.28121	−	1.11018i	−0.988053	−	0.154113i	$-0.950748\pi$
$197$	−17.9827	−	15.5821i	−1.28121	−	1.11018i	−0.293159	−	0.956064i	$-0.594706\pi$
$198$	7.71236	−	16.1660i	0.548093	−	1.14887i
$199$	0.286081	−	0.714595i	0.0202797	−	0.0506563i	−0.917883	−	0.396852i	$-0.870103\pi$
$199$	0.286081	−	0.714595i	0.0202797	−	0.0506563i	0.938162	+	0.346196i	$0.112527\pi$
$200$	4.49467	+	23.3206i	0.317821	+	1.64901i
$201$	−0.949721	+	5.37243i	−0.0669882	+	0.378942i
$202$	37.4007	−	10.9818i	2.63151	−	0.772680i
$203$	−4.01669	−	14.7073i	−0.281916	−	1.03225i
$204$	−9.58042	+	2.97438i	−0.670763	+	0.208248i
$205$	−19.2859	+	37.4094i	−1.34699	+	2.61279i
$206$	−16.7592	+	29.0278i	−1.16767	+	2.02246i
$207$	−13.7642	−	4.18882i	−0.956680	−	0.291143i
$208$	−1.08485	−	1.87901i	−0.0752205	−	0.130286i
$209$	8.91804	+	13.8767i	0.616874	+	0.959874i
$210$	−36.7814	−	1.88345i	−2.53816	−	0.129971i
$211$	2.69428	−	5.89966i	0.185482	−	0.406149i	−0.793933	−	0.608005i	$-0.791970\pi$
$211$	2.69428	−	5.89966i	0.185482	−	0.406149i	0.979415	+	0.201856i	$0.0646973\pi$
$212$	0.0803920	+	0.0766536i	0.00552134	+	0.00526459i
$213$	6.15056	−	2.23558i	0.421429	−	0.153179i
$214$	0.643872	+	3.34072i	0.0440142	+	0.228367i
$215$	−2.62301	−	3.33542i	−0.178887	−	0.227474i
$216$	−9.17752	+	15.8480i	−0.624451	+	1.07832i
$217$	8.17829	−	13.5636i	0.555179	−	0.920759i
$218$	17.9616	+	11.5432i	1.21651	+	0.781806i
$219$	−14.6688	+	6.13678i	−0.991226	+	0.414685i
$220$	−9.98970	−	28.8633i	−0.673506	−	1.94597i
$221$	−2.05681	+	1.96116i	−0.138356	+	0.131922i
$222$	−1.30714	−	0.648547i	−0.0877296	−	0.0435277i
$223$	−12.1733	−	14.0487i	−0.815183	−	0.940772i	0.183927	−	0.982940i	$-0.441119\pi$
$223$	−12.1733	−	14.0487i	−0.815183	−	0.940772i	−0.999111	+	0.0421683i	$0.986573\pi$
$224$	−8.92682	+	6.10463i	−0.596448	+	0.407883i
$225$	7.82653	−	18.6393i	0.521768	−	1.24262i
$226$	2.70072	+	28.2833i	0.179650	+	1.88138i
$227$	18.5506	+	14.5883i	1.23124	+	0.968261i	0.999989	−	0.00463174i	$-0.00147434\pi$
$227$	18.5506	+	14.5883i	1.23124	+	0.968261i	0.231255	+	0.972893i	$0.425717\pi$
$228$	−18.5526	−	34.6632i	−1.22868	−	2.29563i
$229$	12.3107	−	7.10758i	0.813514	−	0.469682i	−0.0346609	−	0.999399i	$-0.511035\pi$
$229$	12.3107	−	7.10758i	0.813514	−	0.469682i	0.848175	+	0.529717i	$0.177702\pi$
$230$	−34.1359	+	17.8982i	−2.25085	+	1.18017i
$231$	11.6148	−	1.06735i	0.764201	−	0.0702263i
$232$	−17.0853	+	10.9800i	−1.12170	+	0.720875i
$233$	7.08126	+	17.6881i	0.463909	+	1.15879i	0.957330	+	0.288997i	$0.0933218\pi$
$233$	7.08126	+	17.6881i	0.463909	+	1.15879i	−0.493421	+	0.869790i	$0.664254\pi$
$234$	−0.777608	+	12.0694i	−0.0508338	+	0.789002i
$235$	37.3737	+	9.06677i	2.43799	+	0.591451i
$236$	−8.12771	−	5.78772i	−0.529069	−	0.376748i
$237$	−8.17849	−	3.58353i	−0.531250	−	0.232775i
$238$	−7.62693	−	6.86667i	−0.494381	−	0.445100i
$239$	−3.72185	+	12.6755i	−0.240746	+	0.819907i	0.747132	+	0.664676i	$0.231430\pi$
$239$	−3.72185	+	12.6755i	−0.240746	+	0.819907i	−0.987878	+	0.155231i	$0.950388\pi$
$240$	1.87837	+	7.25242i	0.121248	+	0.468142i
$241$	7.31877	+	14.1964i	0.471443	+	0.914472i	0.997931	+	0.0642898i	$0.0204782\pi$
$241$	7.31877	+	14.1964i	0.471443	+	0.914472i	−0.526488	+	0.850183i	$0.676491\pi$
$242$	−4.86030	−	9.42767i	−0.312432	−	0.606033i
$243$	13.9822	−	6.89183i	0.896960	−	0.442111i
$244$	5.26814	−	17.9416i	0.337258	−	1.14860i
$245$	−11.1942	−	21.2104i	−0.715169	−	1.35508i
$246$	−20.0306	+	45.7147i	−1.27710	+	2.91466i
$247$	−9.07292	−	6.46080i	−0.577296	−	0.411091i
$248$	−20.5039	−	4.97419i	−1.30200	−	0.315861i
$249$	0.0865100	−	0.155326i	0.00548235	−	0.00984340i
$250$	−5.19317	−	12.9719i	−0.328445	−	0.820415i
$251$	−7.10163	+	4.56394i	−0.448251	+	0.288074i	−0.745226	−	0.666812i	$-0.767659\pi$
$251$	−7.10163	+	4.56394i	−0.448251	+	0.288074i	0.296975	+	0.954885i	$0.404022\pi$
$252$	−27.7982	+	0.329934i	−1.75112	+	0.0207839i
$253$	9.89397	−	7.14912i	0.622029	−	0.449461i
$254$	−17.3235	+	10.0017i	−1.08697	+	0.627564i
$255$	8.65164	−	4.63058i	0.541787	−	0.289978i
$256$	18.2754	+	14.3720i	1.14222	+	0.898248i
$257$	−0.929309	−	9.73216i	−0.0579687	−	0.607076i	−0.977050	−	0.213008i	$-0.931674\pi$
$257$	−0.929309	−	9.73216i	−0.0579687	−	0.607076i	0.919082	−	0.394067i	$-0.128932\pi$
$258$	−3.35347	−	3.75155i	−0.208778	−	0.233561i
$259$	−0.0723431	−	0.947454i	−0.00449518	−	0.0588719i
$260$	13.5057	+	15.5865i	0.837591	+	0.966631i
$261$	17.2848	+	0.289360i	1.06990	+	0.0179109i
$262$	−30.5917	+	29.1691i	−1.88996	+	1.80207i
$263$	−7.51352	−	21.7089i	−0.463303	−	1.33863i	−0.898769	−	0.438422i	$-0.855538\pi$
$263$	−7.51352	−	21.7089i	−0.463303	−	1.33863i	0.435466	−	0.900205i	$-0.356584\pi$
$264$	−5.99659	−	14.3337i	−0.369064	−	0.882178i
$265$	−0.0914096	−	0.0587454i	−0.00561525	−	0.00360870i
$266$	20.7687	−	34.4447i	1.27341	−	2.11194i
$267$	0.876461	+	5.49285i	0.0536385	+	0.336157i
$268$	6.81976	+	8.67203i	0.416583	+	0.529728i
$269$	−1.97258	−	10.2347i	−0.120270	−	0.624022i	−0.991174	−	0.132568i	$-0.957678\pi$
$269$	−1.97258	−	10.2347i	−0.120270	−	0.624022i	0.870903	−	0.491454i	$-0.163534\pi$
$270$	13.7103	−	39.4461i	0.834381	−	2.40061i
$271$	−10.9677	−	10.4577i	−0.666241	−	0.635260i	0.279513	−	0.960142i	$-0.409827\pi$
$271$	−10.9677	−	10.4577i	−0.666241	−	0.635260i	−0.945755	+	0.324882i	$0.894675\pi$
$272$	−0.867210	+	1.89893i	−0.0525824	+	0.115139i
$273$	−7.01310	+	3.58394i	−0.424452	+	0.216910i
$274$	14.1068	+	21.9506i	0.852222	+	1.32608i
$275$	8.57568	+	14.8535i	0.517133	+	0.895701i
$276$	−24.8647	+	15.1063i	−1.49668	+	0.909293i
$277$	−13.8526	+	23.9934i	−0.832322	+	1.44162i	0.0638702	+	0.997958i	$0.479656\pi$
$277$	−13.8526	+	23.9934i	−0.832322	+	1.44162i	−0.896192	+	0.443666i	$0.853678\pi$
$278$	−19.3845	+	37.6007i	−1.16260	+	2.25514i
$279$	12.1739	+	13.2032i	0.728833	+	0.790458i
$280$	−22.4820	+	22.6992i	−1.34356	+	1.35654i
$281$	−16.8006	+	4.93309i	−1.00224	+	0.294284i	−0.741374	−	0.671092i	$-0.765826\pi$
$281$	−16.8006	+	4.93309i	−1.00224	+	0.294284i	−0.260864	+	0.965376i	$0.584007\pi$
$282$	44.9091	+	7.93889i	2.67430	+	0.472754i
$283$	1.15520	+	5.99372i	0.0686692	+	0.356290i	0.999968	−	0.00796572i	$-0.00253559\pi$
$283$	1.15520	+	5.99372i	0.0686692	+	0.356290i	−0.931299	+	0.364256i	$0.881323\pi$
$284$	4.91841	−	12.2856i	0.291854	−	0.729015i
$285$	24.2375	+	29.8605i	1.43570	+	1.76878i
$286$	−7.75483	−	6.71960i	−0.458553	−	0.397338i
$287$	−32.2525	+	4.01362i	−1.90381	+	0.236917i
$288$	−3.81616	−	11.6536i	−0.224869	−	0.686697i
$289$	−14.0078	−	2.69979i	−0.823990	−	0.158811i
$290$	33.5175	−	31.9588i	1.96821	−	1.87669i
$291$	−24.7894	+	1.56455i	−1.45318	+	0.0917157i
$292$	−10.5165	+	30.3855i	−0.615433	+	1.77818i
$293$	9.31213	+	20.3907i	0.544020	+	1.19124i	0.959519	+	0.281645i	$0.0908799\pi$
$293$	9.31213	+	20.3907i	0.544020	+	1.19124i	−0.415498	+	0.909594i	$0.636393\pi$
$294$	−14.8326	−	24.2664i	−0.865057	−	1.41525i
$295$	8.87838	+	4.05462i	0.516919	+	0.236069i
$296$	−1.17512	+	0.470447i	−0.0683024	+	0.0273442i
$297$	−2.51993	+	12.9832i	−0.146221	+	0.753362i
$298$	40.7830	+	23.5461i	2.36250	+	1.36399i
$299$	−4.40806	+	6.96453i	−0.254925	+	0.402769i
$300$	−17.5537	−	36.9189i	−1.01346	−	2.13151i
$301$	0.982702	−	3.12590i	0.0566420	−	0.180174i
$302$	38.0924	+	5.47686i	2.19197	+	0.315158i
$303$	−24.7008	+	14.7738i	−1.41903	+	0.848734i
$304$	−7.95107	−	1.92891i	−0.456025	−	0.110631i
$305$	−1.73873	+	18.2088i	−0.0995592	+	1.04263i
$306$	9.89336	−	6.12654i	0.565566	−	0.350231i
$307$	−3.54903	−	24.6840i	−0.202554	−	1.40879i	−0.796671	−	0.604414i	$-0.793407\pi$
$307$	−3.54903	−	24.6840i	−0.202554	−	1.40879i	0.594117	−	0.804379i	$-0.297502\pi$
$308$	14.0437	−	18.9494i	0.800212	−	1.07974i
$309$	6.60547	−	23.8516i	0.375772	−	1.35687i
$310$	48.0573	+	2.28925i	2.72947	+	0.130021i
$311$	7.85968	+	15.2457i	0.445682	+	0.864502i	0.999492	+	0.0318594i	$0.0101429\pi$
$311$	7.85968	+	15.2457i	0.445682	+	0.864502i	−0.553811	+	0.832643i	$0.686827\pi$
$312$	7.35624	+	7.48042i	0.416465	+	0.423495i
$313$	−13.7529	+	3.33641i	−0.777358	+	0.188585i	−0.604760	−	0.796407i	$-0.706731\pi$
$313$	−13.7529	+	3.33641i	−0.777358	+	0.188585i	−0.172597	+	0.984992i	$0.555216\pi$
$314$	4.52508	+	31.4727i	0.255365	+	1.77610i
$315$	26.6399	−	5.46311i	1.50099	−	0.307811i
$316$	−16.4245	+	7.50080i	−0.923948	+	0.421953i
$317$	5.78685	−	6.06908i	0.325022	−	0.340873i	−0.540868	−	0.841107i	$-0.681904\pi$
$317$	5.78685	−	6.06908i	0.325022	−	0.340873i	0.865890	+	0.500234i	$0.166753\pi$
$318$	−0.112571	−	0.0626974i	−0.00631269	−	0.00351590i
$319$	−9.06640	+	11.5289i	−0.507621	+	0.645493i
$320$	−36.8881	−	19.0171i	−2.06211	−	1.06309i
$321$	−1.07871	−	2.26874i	−0.0602077	−	0.126629i
$322$	−26.2888	−	13.9571i	−1.46501	−	0.777801i
$323$			10.7167i			0.596292i
$324$	8.45290	−	30.3679i	0.469605	−	1.68711i
$325$	−9.10344	−	7.15903i	−0.504968	−	0.397111i
$326$	−2.18403	+	1.55524i	−0.120962	+	0.0861367i
$327$	−14.9759	−	4.92580i	−0.828170	−	0.272398i
$328$	17.9856	+	39.3829i	0.993088	+	2.17456i
$329$	10.5120	+	27.7752i	0.579545	+	1.53130i
$330$	19.6128	+	29.5070i	1.07965	+	1.62431i
$331$	0.0966463	+	0.398381i	0.00531216	+	0.0218970i	0.974406	−	0.224795i	$-0.0721714\pi$
$331$	0.0966463	+	0.398381i	0.00531216	+	0.0218970i	−0.969094	+	0.246692i	$0.920656\pi$
$332$	−0.117589	−	0.339752i	−0.00645355	−	0.0186463i
$333$	1.05441	+	0.221587i	0.0577811	+	0.0121429i
$334$	0.295289	−	6.19888i	0.0161575	−	0.339188i
$335$	−8.15601	−	7.06723i	−0.445611	−	0.386124i
$336$	−3.80409	+	4.35868i	−0.207530	+	0.237786i
$337$	−9.88061	+	1.42062i	−0.538231	+	0.0773860i	−0.406069	−	0.913842i	$-0.633101\pi$
$337$	−9.88061	+	1.42062i	−0.538231	+	0.0773860i	−0.132162	+	0.991228i	$0.542192\pi$
$338$	−22.2698	−	7.70766i	−1.21132	−	0.419242i
$339$	−7.16659	−	19.7168i	−0.389236	−	1.07087i
$340$	4.67824	−	19.2839i	0.253713	−	1.04582i
$341$	−15.1678	+	1.44835i	−0.821383	+	0.0784325i
$342$	30.9155	+	33.5295i	1.67172	+	1.81307i
$343$	8.64046	−	16.3812i	0.466541	−	0.884499i
$344$	−4.36497			−0.235344
$345$	21.0867	−	19.1132i	1.13527	−	1.02902i
$346$	14.3205	−	24.8039i	0.769876	−	1.33346i
$347$	12.4634	−	0.593703i	0.669069	−	0.0318717i	0.289700	−	0.957117i	$-0.406444\pi$
$347$	12.4634	−	0.593703i	0.669069	−	0.0318717i	0.379368	+	0.925246i	$0.376141\pi$
$348$	23.7303	−	25.6692i	1.27208	−	1.37602i
$349$	8.58489	−	18.7983i	0.459539	−	1.00625i	−0.528054	−	0.849211i	$-0.677078\pi$
$349$	8.58489	−	18.7983i	0.459539	−	1.00625i	0.987593	−	0.157038i	$-0.0501946\pi$
$350$	23.2744	−	34.7466i	1.24407	−	1.85728i
$351$	−1.67860	−	8.77114i	−0.0895968	−	0.468169i
$352$	9.83155	+	3.40273i	0.524023	+	0.181366i
$353$	10.8052	−	26.9901i	0.575102	−	1.43654i	−0.300631	−	0.953741i	$-0.597197\pi$
$353$	10.8052	−	26.9901i	0.575102	−	1.43654i	0.875733	−	0.482795i	$-0.160379\pi$
$354$	10.8104	+	4.13548i	0.574569	+	0.219798i
$355$	−2.44988	+	12.7112i	−0.130026	+	0.674641i
$356$	9.46237	+	6.08110i	0.501505	+	0.322298i
$357$	6.72294	+	3.49629i	0.355816	+	0.185043i
$358$	−6.02885	+	6.95766i	−0.318635	+	0.367724i
$359$	0.892005	+	3.67689i	0.0470782	+	0.194059i	0.990495	−	0.137551i	$-0.0439232\pi$
$359$	0.892005	+	3.67689i	0.0470782	+	0.194059i	−0.943416	+	0.331610i	$0.892408\pi$
$360$	−17.5853	−	31.6714i	−0.926827	−	1.66923i
$361$	−22.5855	+	4.35300i	−1.18871	+	0.229105i
$362$	22.2875	−	31.2985i	1.17141	−	1.64501i
$363$	5.21948	+	5.83907i	0.273952	+	0.306472i
$364$	−4.04799	+	15.4031i	−0.212172	+	0.807342i
$365$	4.47626	−	31.1331i	0.234298	−	1.62958i
$366$	−0.697676	+	21.6800i	−0.0364681	+	1.13323i
$367$	1.62766	+	0.939728i	0.0849630	+	0.0490534i	0.541880	−	0.840456i	$-0.317713\pi$
$367$	1.62766	+	0.939728i	0.0849630	+	0.0490534i	−0.456917	+	0.889510i	$0.651046\pi$
$368$	−1.10467	+	5.95285i	−0.0575848	+	0.310314i
$369$	5.85458	−	36.3850i	0.304777	−	1.89413i
$370$	2.42821	−	1.56051i	0.126236	−	0.0811273i
$371$	−0.00240008	−	0.0838742i	−0.000124606	−	0.00435453i
$372$	36.3119	−	0.560351i	1.88269	−	0.0290529i
$373$	−13.3849	+	14.0376i	−0.693042	+	0.726842i	−0.972393	−	0.233347i	$-0.925032\pi$
$373$	−13.3849	+	14.0376i	−0.693042	+	0.726842i	0.279351	+	0.960189i	$0.409881\pi$
$374$	−0.938466	+	9.82806i	−0.0485269	+	0.508197i
$375$	6.11356	+	8.31085i	0.315703	+	0.429171i
$376$	31.0970	−	24.4550i	1.60371	−	1.26117i
$377$	2.79014	−	9.50236i	0.143700	−	0.489396i
$378$	31.1203	−	8.45548i	1.60066	−	0.434903i
$379$	−10.6174	+	16.5210i	−0.545381	+	0.848629i	−0.999096	−	0.0425179i	$-0.986462\pi$
$379$	−10.6174	+	16.5210i	−0.545381	+	0.848629i	0.453715	+	0.891147i	$0.350098\pi$
$380$	77.6825	+	3.70047i	3.98503	+	0.189830i
$381$	10.5311	−	10.3563i	0.539526	−	0.530570i
$382$	−0.928722	−	0.974016i	−0.0475176	−	0.0498350i
$383$	−4.26990	+	3.35788i	−0.218182	+	0.171580i	−0.721268	−	0.692656i	$-0.756440\pi$
$383$	−4.26990	+	3.35788i	−0.218182	+	0.171580i	0.503086	+	0.864236i	$0.332198\pi$
$384$	−32.1084	−	14.0688i	−1.63852	−	0.717944i
$385$	−9.98133	+	20.8013i	−0.508696	+	1.06013i
$386$	4.41294	+	15.0291i	0.224613	+	0.764961i
$387$	3.09158	+	2.06076i	0.157154	+	0.104755i
$388$	−31.0488	+	39.4818i	−1.57626	+	2.00438i
$389$	1.45039	+	30.4475i	0.0735378	+	1.54375i	0.670761	+	0.741673i	$0.265968\pi$
$389$	1.45039	+	30.4475i	0.0735378	+	1.54375i	−0.597224	+	0.802075i	$0.703729\pi$
$390$	−19.6997	−	13.5749i	−0.997532	−	0.687392i
$391$	7.91858	−	0.432125i	0.400460	−	0.0218535i
$392$	−24.2690	−	4.43590i	−1.22577	−	0.224047i
$393$	16.4667	−	26.5134i	0.830635	−	1.33743i
$394$	51.8174	−	20.7446i	2.61052	−	1.04510i
$395$	14.3876	−	10.2454i	0.723918	−	0.515500i
$396$	16.1779	+	21.2961i	0.812970	+	1.07017i
$397$	−1.48357	+	2.08338i	−0.0744581	+	0.104562i	−0.850126	−	0.526580i	$-0.823474\pi$
$397$	−1.48357	+	2.08338i	−0.0744581	+	0.104562i	0.775667	+	0.631142i	$0.217413\pi$
$398$	1.18241	+	1.36457i	0.0592689	+	0.0683999i
$399$	−8.46860	+	28.4659i	−0.423960	+	1.42508i
$400$	−8.16251	−	2.39673i	−0.408125	−	0.119836i
$401$	10.1522	+	1.95667i	0.506976	+	0.0977117i	0.436325	−	0.899789i	$-0.356280\pi$
$401$	10.1522	+	1.95667i	0.506976	+	0.0977117i	0.0706517	+	0.997501i	$0.477492\pi$
$402$	−10.1805	−	7.75486i	−0.507760	−	0.386777i
$403$	9.14471	−	4.71443i	0.455531	−	0.234842i
$404$	−11.0147	+	57.1499i	−0.548004	+	2.84331i
$405$	−2.49734	+	30.7342i	−0.124094	+	1.52719i
$406$	34.9818	+	7.43387i	1.73612	+	0.368937i
$407$	−0.690843	+	0.598619i	−0.0342438	+	0.0296724i
$408$	1.75721	−	9.94028i	0.0869949	−	0.492117i
$409$	2.17241	−	8.95479i	0.107419	−	0.442786i	−0.892548	−	0.450953i	$-0.851084\pi$
$409$	2.17241	−	8.95479i	0.107419	−	0.442786i	0.999967	+	0.00816648i	$0.00259950\pi$
$410$	−57.2677	−	80.4212i	−2.82825	−	3.97172i
$411$	−14.1472	−	13.0786i	−0.697831	−	0.645119i
$412$	−27.0576	−	42.1024i	−1.33303	−	2.07424i
$413$	1.28561	+	7.42673i	0.0632608	+	0.365446i
$414$	23.5285	−	24.1956i	1.15636	−	1.18915i
$415$	0.175845	+	0.304573i	0.00863191	+	0.0149509i
$416$	−7.01702	+	0.334262i	−0.344038	+	0.0163885i
$417$	6.89491	−	30.4655i	0.337645	−	1.49190i
$418$	−38.5185	+	3.67807i	−1.88400	+	0.179900i
$419$	5.67141	−	1.66528i	0.277066	−	0.0813540i	−0.140247	−	0.990116i	$-0.544790\pi$
$419$	5.67141	−	1.66528i	0.277066	−	0.0813540i	0.417314	+	0.908762i	$0.362972\pi$
$420$	27.6651	−	47.5256i	1.34992	−	2.31901i
$421$	−24.5679	+	21.2882i	−1.19737	+	1.03752i	−0.199024	+	0.979995i	$0.563777\pi$
$421$	−24.5679	+	21.2882i	−1.19737	+	1.03752i	−0.998344	+	0.0575302i	$0.981677\pi$
$422$	9.40461	+	11.9589i	0.457809	+	0.582152i
$423$	−33.5706	+	2.63939i	−1.63226	+	0.128332i
$424$	−0.105628	+	0.0365583i	−0.00512976	+	0.00177543i
$425$	−0.530200	+	11.1303i	−0.0257185	+	0.539898i
$426$	−1.94997	+	15.2267i	−0.0944766	+	0.737738i
$427$	−12.3647	+	6.82898i	−0.598367	+	0.330478i
$428$	−4.87416	−	1.43118i	−0.235601	−	0.0691788i
$429$	6.78714	+	3.36749i	0.327686	+	0.162584i
$430$	9.77369	−	1.88372i	0.471329	−	0.0908412i
$431$	−19.6798	−	1.87919i	−0.947943	−	0.0905176i	−0.390381	−	0.920653i	$-0.627657\pi$
$431$	−19.6798	−	1.87919i	−0.947943	−	0.0905176i	−0.557561	+	0.830136i	$0.688263\pi$
$432$	−3.53930	−	5.52315i	−0.170285	−	0.265732i
$433$	19.7423	+	9.01599i	0.948753	+	0.433281i	0.828829	−	0.559502i	$-0.189008\pi$
$433$	19.7423	+	9.01599i	0.948753	+	0.433281i	0.119924	+	0.992783i	$0.461735\pi$
$434$	19.4892	+	31.6308i	0.935510	+	1.51833i
$435$	−18.0416	+	29.0492i	−0.865028	+	1.39280i
$436$	−27.6087	+	15.9399i	−1.32222	+	0.763383i
$437$	7.53637	+	30.1534i	0.360513	+	1.44243i
$438$	2.97217	−	37.1804i	0.142016	−	1.77655i
$439$	13.0683	+	6.73718i	0.623716	+	0.321548i	0.740954	−	0.671556i	$-0.234374\pi$
$439$	13.0683	+	6.73718i	0.623716	+	0.321548i	−0.117238	+	0.993104i	$0.537404\pi$
$440$	30.4218	+	4.37400i	1.45030	+	0.208522i
$441$	15.0948	+	14.5996i	0.718800	+	0.695217i
$442$	−1.87815	−	6.39640i	−0.0893346	−	0.304246i
$443$	−2.13387	−	1.51952i	−0.101383	−	0.0721945i	0.528241	−	0.849094i	$-0.322852\pi$
$443$	−2.13387	−	1.51952i	−0.101383	−	0.0721945i	−0.629624	+	0.776900i	$0.716791\pi$
$444$	1.75505	−	1.29104i	0.0832910	−	0.0612699i
$445$	−10.2147	−	4.08934i	−0.484222	−	0.193853i
$446$	42.3760	−	10.2803i	2.00656	−	0.486787i
$447$	−33.5107	−	9.28045i	−1.58500	−	0.438950i
$448$	−3.95769	−	31.8031i	−0.186983	−	1.50255i
$449$	−3.02933	+	4.71373i	−0.142963	+	0.222455i	−0.905350	−	0.424667i	$-0.860391\pi$
$449$	−3.02933	+	4.71373i	−0.142963	+	0.222455i	0.762387	+	0.647122i	$0.224027\pi$
$450$	30.4498	+	36.3531i	1.43542	+	1.71370i
$451$	21.5765	+	22.6288i	1.01600	+	1.06555i
$452$	−39.3838	−	15.7669i	−1.85246	−	0.741613i
$453$	−28.2423	+	3.13725i	−1.32694	+	0.147401i
$454$	−50.3559	+	22.9968i	−2.36332	+	1.07929i
$455$	1.03668	−	15.5446i	0.0486003	−	0.728740i
$456$	39.5576	−	0.610437i	1.85246	−	0.0285864i
$457$	3.11925	+	7.79150i	0.145912	+	0.364471i	0.983262	−	0.182196i	$-0.0583206\pi$
$457$	3.11925	+	7.79150i	0.145912	+	0.364471i	−0.837350	+	0.546667i	$0.815896\pi$
$458$	1.58662	+	33.3073i	0.0741380	+	1.55635i
$459$	−5.93752	+	6.21080i	−0.277140	+	0.289895i
$460$	−0.398074	−	57.5490i	−0.0185603	−	2.68324i
$461$			23.7027i			1.10394i	0.833862	+	0.551972i	$0.186125\pi$
$461$			23.7027i			1.10394i	−0.833862	+	0.551972i	$0.813875\pi$
$462$	−10.2592	+	25.3639i	−0.477300	+	1.18004i
$463$	−4.03454	+	28.0608i	−0.187501	+	1.30410i	0.650951	+	0.759120i	$0.274370\pi$
$463$	−4.03454	+	28.0608i	−0.187501	+	1.30410i	−0.838451	+	0.544976i	$0.816539\pi$
$464$	−0.691508	−	7.24180i	−0.0321025	−	0.336192i
$465$	−34.7750	+	7.26056i	−1.61265	+	0.336700i
$466$	−44.4908	−	4.24836i	−2.06100	−	0.196801i
$467$	1.75187	−	5.06169i	0.0810667	−	0.234227i	−0.897182	−	0.441660i	$-0.854390\pi$
$467$	1.75187	−	5.06169i	0.0810667	−	0.234227i	0.978249	+	0.207433i	$0.0665110\pi$
$468$	−15.4858	−	9.28978i	−0.715833	−	0.429420i
$469$	0.949584	−	8.27949i	0.0438477	−	0.382311i
$470$	−59.0762	+	68.1776i	−2.72498	+	3.14480i
$471$	−9.06109	−	21.6588i	−0.417513	−	0.997985i
$472$	8.92426	−	4.60077i	0.410772	−	0.211768i
$473$	−2.97888	+	1.03100i	−0.136969	+	0.0474055i
$474$	16.2625	−	13.2001i	0.746960	−	0.606300i
$475$	−43.2271	+	6.21512i	−1.98340	+	0.285169i
$476$	14.3313	−	5.42394i	0.656876	−	0.248606i
$477$	0.0920729	+	0.0239754i	0.00421573	+	0.00109776i
$478$	−22.4275	−	21.3846i	−1.02581	−	0.978107i
$479$	16.1518	+	22.6821i	0.737996	+	1.03637i	0.997503	+	0.0706290i	$0.0225006\pi$
$479$	16.1518	+	22.6821i	0.737996	+	1.03637i	−0.259507	+	0.965741i	$0.583560\pi$
$480$	23.6582	+	5.35429i	1.07984	+	0.244389i
$481$	0.282837	−	0.548628i	0.0128963	−	0.0250153i
$482$	−37.4660			−1.70653
$483$	21.3750	+	5.10965i	0.972597	+	0.232497i
$484$	15.8373			0.719875
$485$	22.5142	−	43.6714i	1.02232	−	1.98302i
$486$	−0.659911	+	36.5605i	−0.0299342	+	1.65842i
$487$	1.28343	+	1.80233i	0.0581579	+	0.0816714i	0.842631	−	0.538492i	$-0.181006\pi$
$487$	1.28343	+	1.80233i	0.0581579	+	0.0816714i	−0.784473	+	0.620163i	$0.787066\pi$
$488$	13.6180	+	12.9847i	0.616458	+	0.587791i
$489$	1.27321	−	1.51601i	0.0575766	−	0.0685564i
$490$	56.2556	−	0.540918i	2.54137	−	0.0244362i
$491$	−4.20464	+	0.604536i	−0.189753	+	0.0272823i	−0.236536	−	0.971623i	$-0.576012\pi$
$491$	−4.20464	+	0.604536i	−0.189753	+	0.0272823i	0.0467831	+	0.998905i	$0.485103\pi$
$492$	−46.9653	−	57.8611i	−2.11736	−	2.60858i
$493$	−9.00464	+	3.11654i	−0.405549	+	0.140362i
$494$	23.2229	−	11.9722i	1.04485	−	0.538656i
$495$	−19.4818	−	17.4605i	−0.875644	−	0.784793i
$496$	4.94909	−	5.71156i	0.222221	−	0.256457i
$497$	−9.17036	+	3.97926i	−0.411347	+	0.178494i
$498$	0.230864	+	0.347328i	0.0103452	+	0.0155641i
$499$	7.15533	−	20.6740i	0.320317	−	0.925494i	−0.663790	−	0.747919i	$-0.731053\pi$
$499$	7.15533	−	20.6740i	0.320317	−	0.925494i	0.984107	−	0.177576i	$-0.0568255\pi$
$500$	20.7687	+	1.98317i	0.928805	+	0.0886901i
$501$	0.936536	+	4.48561i	0.0418413	+	0.200402i
$502$	−1.88231	−	19.7124i	−0.0840115	−	0.879808i
$503$	5.94983	−	41.3820i	0.265290	−	1.84513i	−0.225990	−	0.974130i	$-0.572562\pi$
$503$	5.94983	−	41.3820i	0.265290	−	1.84513i	0.491280	−	0.871002i	$-0.336529\pi$
$504$	12.5226	−	25.0150i	0.557802	−	1.11426i
$505$		−	56.9333i		−	2.53350i
$506$	4.27091	+	28.3131i	0.189865	+	1.25867i
$507$	17.3453	+	1.38657i	0.770333	+	0.0615797i
$508$	−1.42116	−	29.8339i	−0.0630539	−	1.32366i
$509$	5.71257	+	14.2693i	0.253205	+	0.632476i	0.999449	−	0.0331969i	$-0.0105689\pi$
$509$	5.71257	+	14.2693i	0.253205	+	0.632476i	−0.746244	+	0.665673i	$0.768145\pi$
$510$	0.355170	+	23.0158i	0.0157272	+	1.01916i
$511$	21.7962	−	10.7178i	0.964208	−	0.474126i
$512$	−12.7886	+	5.84037i	−0.565183	+	0.258110i
$513$	−28.3057	−	18.2433i	−1.24973	−	0.805463i
$514$	21.2902	+	8.52331i	0.939071	+	0.375947i
$515$	33.7840	+	35.4316i	1.48870	+	1.56130i
$516$	7.27327	−	1.88377i	0.320188	−	0.0829282i
$517$	15.4460	−	24.0344i	0.679313	−	1.05703i
$518$	2.05318	+	0.867565i	0.0902115	+	0.0381186i
$519$	−5.64429	+	20.3809i	−0.247757	+	0.894622i
$520$	−20.1681	+	4.89273i	−0.884431	+	0.214561i
$521$	18.2528	+	7.30733i	0.799671	+	0.320140i	0.735262	−	0.677783i	$-0.237059\pi$
$521$	18.2528	+	7.30733i	0.799671	+	0.320140i	0.0644097	+	0.997924i	$0.479484\pi$
$522$	−19.1824	+	35.7274i	−0.839592	+	1.56375i
$523$	3.17036	+	2.25761i	0.138630	+	0.0987182i	0.647268	−	0.762262i	$-0.275911\pi$
$523$	3.17036	+	2.25761i	0.138630	+	0.0987182i	−0.508638	+	0.860981i	$0.669851\pi$
$524$	−17.7811	−	60.5568i	−0.776770	−	2.64544i
$525$	−10.2038	+	29.1455i	−0.445329	+	1.27202i
$526$	53.3386	+	7.66893i	2.32567	+	0.334381i
$527$	−8.79862	−	4.53600i	−0.383274	−	0.197591i
$528$	5.54779	+	0.443485i	0.241437	+	0.0193002i
$529$	21.9766	−	6.78451i	0.955504	−	0.294979i
$530$	0.220737	−	0.127443i	0.00958820	−	0.00553575i
$531$	−8.49288	−	0.954674i	−0.368559	−	0.0414293i
$532$	31.5034	+	51.1298i	1.36584	+	2.21676i
$533$	−19.2045	−	8.77039i	−0.831838	−	0.379888i
$534$	−12.3945	−	4.07675i	−0.536364	−	0.176418i
$535$	4.94673	+	0.472355i	0.213866	+	0.0204217i
$536$	−10.9009	+	2.10098i	−0.470848	+	0.0907484i
$537$	3.02132	−	6.08944i	0.130380	−	0.262779i
$538$	23.4594	+	6.88831i	1.01141	+	0.296976i
$539$	−17.6102	+	2.70503i	−0.758524	+	0.116514i
$540$	42.9703	+	45.1842i	1.84915	+	1.94442i
$541$	0.285822	−	6.00014i	0.0122884	−	0.257966i	−0.984360	−	0.176167i	$-0.943630\pi$
$541$	0.285822	−	6.00014i	0.0122884	−	0.257966i	0.996649	−	0.0817995i	$-0.0260667\pi$
$542$	33.5930	−	11.6267i	1.44294	−	0.499408i
$543$	−10.1367	+	26.4982i	−0.435009	+	1.13714i
$544$	4.17820	+	5.31301i	0.179139	+	0.227794i
$545$	23.5681	−	20.4219i	1.00955	−	0.874777i
$546$	0.0658068	−	18.4744i	0.00281627	−	0.790633i
$547$	−8.17663	+	2.40088i	−0.349607	+	0.102654i	−0.451821	−	0.892108i	$-0.649226\pi$
$547$	−8.17663	+	2.40088i	−0.349607	+	0.102654i	0.102214	+	0.994762i	$0.467407\pi$
$548$	−38.7833	+	3.70336i	−1.65674	+	0.158200i
$549$	−3.51495	−	15.6259i	−0.150014	−	0.666899i
$550$	−40.1870	+	1.91434i	−1.71358	+	0.0816279i
$551$	−18.6726	−	32.3419i	−0.795481	−	1.37781i
$552$	−2.04612	−	29.2046i	−0.0870888	−	1.24303i
$553$	12.8023	+	4.70501i	0.544408	+	0.200078i
$554$	−35.1358	−	54.6724i	−1.49278	−	2.32281i
$555$	−1.44677	+	1.56499i	−0.0614122	+	0.0664300i
$556$	−36.6389	−	51.4521i	−1.55383	−	2.18205i
$557$	8.94747	−	36.8820i	0.379116	−	1.56274i	−0.388265	−	0.921548i	$-0.626926\pi$
$557$	8.94747	−	36.8820i	0.379116	−	1.56274i	0.767381	−	0.641191i	$-0.221559\pi$
$558$	−40.6139	+	11.1904i	−1.71933	+	0.473728i
$559$	1.60862	−	1.39388i	0.0680374	−	0.0589548i
$560$	−3.53684	−	10.8835i	−0.149459	−	0.459913i
$561$	−1.14867	−	7.19881i	−0.0484969	−	0.303934i
$562$	7.77322	−	40.3313i	0.327893	−	1.70127i
$563$	−5.06654	+	2.61198i	−0.213529	+	0.110082i	−0.561673	−	0.827359i	$-0.689842\pi$
$563$	−5.06654	+	2.61198i	−0.213529	+	0.110082i	0.348144	+	0.937441i	$0.386812\pi$
$564$	−41.2625	+	54.1692i	−1.73746	+	2.28094i
$565$	40.7482	+	7.85358i	1.71429	+	0.330403i
$566$	−13.7385	−	4.03398i	−0.577471	−	0.169561i
$567$	−20.6793	+	11.8053i	−0.868451	+	0.495776i
$568$	8.72044	+	10.0639i	0.365902	+	0.422273i
$569$	−4.68993	+	6.58608i	−0.196612	+	0.276103i	−0.901098	−	0.433614i	$-0.857238\pi$
$569$	−4.68993	+	6.58608i	−0.196612	+	0.276103i	0.704486	+	0.709717i	$0.251177\pi$
$570$	−88.3107	+	18.4381i	−3.69893	+	0.772287i
$571$	−34.3509	+	24.4612i	−1.43754	+	1.02367i	−0.445839	+	0.895113i	$0.647095\pi$
$571$	−34.3509	+	24.4612i	−1.43754	+	1.02367i	−0.991702	+	0.128555i	$0.958966\pi$
$572$	14.2237	−	5.69430i	0.594722	−	0.238091i
$573$	0.844168	+	0.524288i	0.0352656	+	0.0219024i
$574$	26.2993	−	71.5599i	1.09771	−	2.98685i
$575$	6.33541	+	31.6900i	0.264205	+	1.32157i
$576$	35.8779	+	5.77299i	1.49491	+	0.240541i
$577$	1.35116	+	28.3644i	0.0562496	+	1.18082i	0.833823	+	0.552032i	$0.186147\pi$
$577$	1.35116	+	28.3644i	0.0562496	+	1.18082i	−0.777574	+	0.628792i	$0.783550\pi$
$578$	20.6857	−	26.3040i	0.860412	−	1.09410i
$579$	−5.93671	−	9.92578i	−0.246721	−	0.412501i
$580$	19.4817	+	66.3485i	0.808933	+	2.75497i
$581$	−0.117491	+	0.244853i	−0.00487434	+	0.0101582i
$582$	23.3835	−	53.3669i	0.969278	−	2.21213i
$583$	−0.0634510	+	0.0498985i	−0.00262787	+	0.00206658i
$584$	−22.3278	−	23.4168i	−0.923932	−	0.968992i
$585$	16.5944	+	6.05627i	0.686094	+	0.250396i
$586$	−52.5236	−	2.50201i	−2.16973	−	0.103357i
$587$	12.8355	−	19.9725i	0.529780	−	0.824353i	−0.468471	−	0.883479i	$-0.655195\pi$
$587$	12.8355	−	19.9725i	0.529780	−	0.824353i	0.998251	+	0.0591257i	$0.0188313\pi$
$588$	42.3534	−	3.08220i	1.74663	−	0.127108i
$589$	10.9303	−	37.2251i	0.450374	−	1.53383i
$590$	−17.9970	+	14.1530i	−0.740924	+	0.582669i
$591$	−33.1985	+	24.4212i	−1.36560	+	1.00455i
$592$	0.0430987	−	0.451350i	0.00177135	−	0.0185504i
$593$	6.57645	−	6.89718i	0.270062	−	0.283233i	−0.574712	−	0.818356i	$-0.694886\pi$
$593$	6.57645	−	6.89718i	0.270062	−	0.283233i	0.844775	+	0.535122i	$0.179735\pi$
$594$	−24.3610	−	19.2094i	−0.999545	−	0.788170i
$595$	−12.7616	+	7.86298i	−0.523174	+	0.322351i
$596$	−59.1525	+	38.0150i	−2.42298	+	1.55715i
$597$	−1.09781	−	0.756492i	−0.0449303	−	0.0309612i
$598$	−9.78274	−	16.6767i	−0.400046	−	0.681962i
$599$	2.24380	+	1.29546i	0.0916792	+	0.0529310i	0.545139	−	0.838346i	$-0.316477\pi$
$599$	2.24380	+	1.29546i	0.0916792	+	0.0529310i	−0.453459	+	0.891277i	$0.649810\pi$
$600$	41.1145	+	1.32309i	1.67849	+	0.0540149i
$601$	−1.47122	+	10.2326i	−0.0600125	+	0.417396i	0.937564	+	0.347814i	$0.113076\pi$
$601$	−1.47122	+	10.2326i	−0.0600125	+	0.417396i	−0.997576	+	0.0695824i	$0.977833\pi$
$602$	5.46113	+	5.40887i	0.222579	+	0.220449i
$603$	8.71269	+	3.65841i	0.354808	+	0.148982i
$604$	−33.3311	+	46.8069i	−1.35622	+	1.90455i
$605$	−15.2122	+	2.93191i	−0.618463	+	0.119199i
$606$	−4.25266	−	67.3807i	−0.172752	−	2.73715i
$607$	5.81825	+	23.9832i	0.236155	+	0.973446i	0.959219	+	0.282664i	$0.0912183\pi$
$607$	5.81825	+	23.9832i	0.236155	+	0.973446i	−0.723063	+	0.690782i	$0.757267\pi$
$608$	−17.3476	+	20.0202i	−0.703538	+	0.811926i
$609$	−26.3811	+	1.16252i	−1.06902	+	0.0471077i
$610$	−36.0959	−	23.1974i	−1.46148	−	0.939237i
$611$	−3.65090	+	18.9427i	−0.147700	+	0.766338i
$612$	1.36186	+	17.3216i	0.0550501	+	0.700186i
$613$	14.0512	−	35.0982i	0.567523	−	1.41760i	−0.315794	−	0.948828i	$-0.602271\pi$
$613$	14.0512	−	35.0982i	0.567523	−	1.41760i	0.883317	−	0.468776i	$-0.155305\pi$
$614$	55.2804	+	19.1327i	2.23093	+	0.772134i
$615$	55.8233	+	46.8828i	2.25101	+	1.89050i
$616$	10.4729	+	21.2983i	0.421966	+	0.858132i
$617$	7.12888	−	15.6101i	0.286998	−	0.628437i	−0.710139	−	0.704062i	$-0.751368\pi$
$617$	7.12888	−	15.6101i	0.286998	−	0.628437i	0.997136	+	0.0756245i	$0.0240950\pi$
$618$	42.6300	+	39.4099i	1.71483	+	1.58530i
$619$	10.7731	−	0.513187i	0.433009	−	0.0206267i	0.170054	−	0.985435i	$-0.445606\pi$
$619$	10.7731	−	0.513187i	0.433009	−	0.0206267i	0.262955	+	0.964808i	$0.415303\pi$
$620$	−35.9185	+	62.2127i	−1.44252	+	2.49852i
$621$	−12.3387	+	21.6508i	−0.495135	+	0.868816i
$622$	−40.2350			−1.61328
$623$	−1.84598	−	8.29365i	−0.0739575	−	0.332278i
$624$	−3.58902	+	1.11427i	−0.143676	+	0.0446063i
$625$	13.2242	−	1.26276i	0.528970	−	0.0505105i
$626$	7.82634	−	32.2606i	0.312803	−	1.28939i
$627$	26.8520	−	9.76005i	1.07236	−	0.389779i
$628$	−44.8648	−	15.5279i	−1.79030	−	0.619629i
$629$	−0.587838	+	0.0845183i	−0.0234386	+	0.00336997i
$630$	−17.2443	+	61.4158i	−0.687028	+	2.44686i
$631$	19.5705	+	16.9579i	0.779089	+	0.675085i	0.950711	−	0.310078i	$-0.100355\pi$
$631$	19.5705	+	16.9579i	0.779089	+	0.675085i	−0.171622	+	0.985163i	$0.554901\pi$
$632$	0.864532	−	18.1488i	0.0343892	−	0.721919i
$633$	−8.93636	−	6.80712i	−0.355188	−	0.270559i
$634$	6.43371	+	18.5890i	0.255515	+	0.738263i
$635$	6.88813	+	28.3932i	0.273347	+	1.12675i
$636$	0.160229	−	0.106502i	0.00635349	−	0.00422307i
$637$	10.3604	−	6.11514i	0.410493	−	0.242291i
$638$	−14.2921	−	31.2954i	−0.565830	−	1.23900i
$639$	−1.42511	−	11.2450i	−0.0563765	−	0.444846i
$640$	56.4850	−	40.2228i	2.23277	−	1.58995i
$641$	4.41412	+	3.47130i	0.174347	+	0.137108i	0.701519	−	0.712650i	$-0.252505\pi$
$641$	4.41412	+	3.47130i	0.174347	+	0.137108i	−0.527172	+	0.849758i	$0.676748\pi$
$642$	5.88974	+	0.189536i	0.232450	+	0.00748037i
$643$		−	9.65143i		−	0.380615i	−0.981724	−	0.190308i	$-0.939051\pi$
$643$		−	9.65143i		−	0.380615i	0.981724	−	0.190308i	$-0.0609486\pi$
$644$	36.5097	−	25.3396i	1.43868	−	0.998522i
$645$	−6.63746	+	3.15590i	−0.261350	+	0.124263i
$646$	−22.3440	−	11.5191i	−0.879113	−	0.453214i
$647$	18.7117	−	23.7938i	0.735631	−	0.935432i	−0.263945	−	0.964538i	$-0.585024\pi$
$647$	18.7117	−	23.7938i	0.735631	−	0.935432i	0.999576	+	0.0291063i	$0.00926612\pi$
$648$	23.2637	+	21.5629i	0.913883	+	0.847072i
$649$	5.00367	−	5.24770i	0.196411	−	0.205990i
$650$	24.7115	−	11.2854i	0.969264	−	0.442648i
$651$	−19.7866	−	19.0015i	−0.775500	−	0.744729i
$652$	−0.569736	−	3.96260i	−0.0223126	−	0.155187i
$653$	−40.1425	+	9.73848i	−1.57090	+	0.381096i	−0.924279	−	0.381717i	$-0.875333\pi$
$653$	−40.1425	+	9.73848i	−1.57090	+	0.381096i	−0.646620	+	0.762813i	$0.723818\pi$
$654$	26.3675	−	25.9298i	1.03105	−	1.01393i
$655$	28.2900	+	54.8749i	1.10538	+	2.14414i
$656$	−15.4908	−	0.737915i	−0.604812	−	0.0288108i
$657$	4.75876	+	27.1267i	0.185657	+	1.05831i
$658$	−69.2097	−	7.93774i	−2.69808	−	0.309445i
$659$	1.17433	+	8.16768i	0.0457456	+	0.318168i	0.999827	+	0.0186190i	$0.00592696\pi$
$659$	1.17433	+	8.16768i	0.0457456	+	0.318168i	−0.954081	+	0.299549i	$0.903164\pi$
$660$	−52.5790	+	5.84067i	−2.04663	+	0.227348i
$661$	0.523730	−	5.48474i	0.0203707	−	0.213332i	−0.979555	−	0.201175i	$-0.935524\pi$
$661$	0.523730	−	5.48474i	0.0203707	−	0.213332i	0.999926	−	0.0121571i	$-0.00386983\pi$
$662$	−0.934498	−	0.226707i	−0.0363203	−	0.00881121i
$663$	2.52667	+	4.22442i	0.0981278	+	0.164063i
$664$	0.358097	+	0.0514866i	0.0138969	+	0.00199807i
$665$	−39.7255	−	43.2796i	−1.54049	−	1.67831i
$666$	−1.59536	+	1.96023i	−0.0618191	+	0.0759575i
$667$	−23.1446	+	15.1014i	−0.896164	+	0.584728i
$668$	8.02479	+	4.63311i	0.310488	+	0.179260i
$669$	−28.3870	+	15.1935i	−1.09751	+	0.587413i
$670$	23.5017	−	9.40867i	0.907951	−	0.363489i
$671$	12.3606	+	5.64490i	0.477176	+	0.217919i
$672$	6.89976	+	17.4143i	0.266164	+	0.671771i
$673$	−14.2642	−	31.2343i	−0.549846	−	1.20399i	−0.956854	−	0.290570i	$-0.906155\pi$
$673$	−14.2642	−	31.2343i	−0.549846	−	1.20399i	0.407008	−	0.913425i	$-0.366572\pi$
$674$	7.65851	−	22.1278i	0.294995	−	0.852332i
$675$	−28.4955	−	20.3478i	−1.09679	−	0.783189i
$676$	25.4660	−	24.2818i	0.979462	−	0.933915i
$677$	1.91941	+	0.369937i	0.0737690	+	0.0142178i	0.226002	−	0.974127i	$-0.427434\pi$
$677$	1.91941	+	0.369937i	0.0737690	+	0.0142178i	−0.152233	+	0.988345i	$0.548646\pi$
$678$	48.8123	+	6.25102i	1.87462	+	0.240069i
$679$	37.6513	−	4.68547i	1.44492	−	0.179812i
$680$	15.0906	+	13.0761i	0.578697	+	0.501444i
$681$	31.7368	−	25.7605i	1.21616	−	0.987144i
$682$	13.2838	−	33.1813i	0.508663	−	1.27058i
$683$	1.95278	+	10.1320i	0.0747209	+	0.387689i	0.999965	+	0.00831759i	$0.00264760\pi$
$683$	1.95278	+	10.1320i	0.0747209	+	0.387689i	−0.925244	+	0.379371i	$0.876140\pi$
$684$	−65.6507	+	18.0888i	−2.51022	+	0.691643i
$685$	36.5670	−	10.7370i	1.39715	−	0.410241i
$686$	24.8669	+	35.6229i	0.949421	+	1.36009i
$687$	−7.30034	−	23.5142i	−0.278525	−	0.897123i
$688$	0.716447	−	1.38971i	0.0273143	−	0.0529823i
$689$	0.0272528	−	0.0472033i	0.00103825	−	0.00179830i
$690$	17.1849	+	64.5096i	0.654218	+	2.45584i
$691$	5.94898	+	10.3039i	0.226310	+	0.391980i	0.956712	−	0.291038i	$-0.0940005\pi$
$691$	5.94898	+	10.3039i	0.226310	+	0.391980i	−0.730402	+	0.683018i	$0.760667\pi$
$692$	23.1204	+	35.9760i	0.878904	+	1.36760i
$693$	2.63756	−	20.0294i	0.100193	−	0.760852i
$694$	−12.1588	+	26.6240i	−0.461540	+	1.01063i
$695$	44.7179	+	42.6384i	1.69625	+	1.61737i
$696$	12.0167	+	33.0606i	0.455493	+	1.25316i
$697$	3.84432	+	19.9462i	0.145614	+	0.755518i
$698$	29.9662	+	38.1052i	1.13424	+	1.44230i
$699$	32.5884	−	5.19993i	1.23261	−	0.196679i
$700$	30.1896	+	54.6618i	1.14106	+	2.06602i
$701$	19.6051	+	12.5994i	0.740474	+	0.475874i	0.855704	−	0.517465i	$-0.173124\pi$
$701$	19.6051	+	12.5994i	0.740474	+	0.475874i	−0.115230	+	0.993339i	$0.536761\pi$
$702$	20.0919	+	5.92809i	0.758320	+	0.223741i
$703$	−0.761272	−	2.19955i	−0.0287119	−	0.0829577i
$704$	−22.3134	+	21.2758i	−0.840968	+	0.801861i
$705$	29.6057	−	59.6700i	1.11501	−	2.24730i
$706$	44.6593	+	51.5396i	1.68078	+	1.93972i
$707$	36.2907	−	24.8175i	1.36485	−	0.933358i
$708$	−12.8848	+	11.5176i	−0.484240	+	0.432857i
$709$	1.77289	+	18.5666i	0.0665823	+	0.697282i	0.965715	+	0.259605i	$0.0835924\pi$
$709$	1.77289	+	18.5666i	0.0665823	+	0.697282i	−0.899133	+	0.437677i	$0.855802\pi$
$710$	−23.8692	−	18.7710i	−0.895796	−	0.704462i
$711$	−9.18060	+	12.4461i	−0.344300	+	0.466764i
$712$	−9.80207	+	5.65923i	−0.367348	+	0.212089i
$713$	−27.9465	−	6.57541i	−1.04660	−	0.246251i
$714$	−14.5160	+	10.2591i	−0.543248	+	0.383937i
$715$	−12.6081	+	8.10273i	−0.471516	+	0.303025i
$716$	−5.10894	−	12.7615i	−0.190930	−	0.476921i
$717$	19.9900	+	11.1336i	0.746542	+	0.415791i
$718$	−8.62503	−	2.09241i	−0.321883	−	0.0780881i
$719$	−6.65566	−	4.73947i	−0.248214	−	0.176753i	0.449178	−	0.893442i	$-0.351717\pi$
$719$	−6.65566	−	4.73947i	−0.248214	−	0.176753i	−0.697392	+	0.716690i	$0.745656\pi$
$720$	12.9699	−	0.400387i	0.483358	−	0.0149215i
$721$	−7.85841	+	36.9795i	−0.292662	+	1.37719i
$722$	15.2008	−	51.7691i	0.565715	−	1.92665i
$723$	26.7806	−	6.93613i	0.995980	−	0.257957i
$724$	26.2887	+	50.9929i	0.977011	+	1.89514i
$725$	−17.7932	−	34.5140i	−0.660822	−	1.28182i
$726$	−17.7846	+	4.60620i	−0.660050	+	0.170952i
$727$	−3.32001	+	11.3069i	−0.123132	+	0.419351i	−0.997869	−	0.0652480i	$-0.979216\pi$
$727$	−3.32001	+	11.3069i	−0.123132	+	0.419351i	0.874737	+	0.484599i	$0.161034\pi$
$728$	−11.9101	−	10.7229i	−0.441419	−	0.397417i
$729$	−6.29679	−	26.2555i	−0.233214	−	0.972425i
$730$	60.1002	+	42.7972i	2.22441	+	1.58400i
$731$	−1.99023	−	0.482824i	−0.0736112	−	0.0178579i
$732$	−28.2952	−	15.7592i	−1.04582	−	0.582476i
$733$	6.88157	+	17.1893i	0.254177	+	0.634902i	0.999494	−	0.0318074i	$-0.0101263\pi$
$733$	6.88157	+	17.1893i	0.254177	+	0.634902i	−0.745317	+	0.666710i	$0.767702\pi$
$734$	−3.70885	+	2.38353i	−0.136896	+	0.0879777i
$735$	−40.1111	+	10.8013i	−1.47952	+	0.398412i
$736$	15.4925	+	12.0109i	0.571061	+	0.442729i
$737$	−6.94309	+	4.00859i	−0.255752	+	0.147658i
$738$	69.5689	+	51.3161i	2.56087	+	1.88897i
$739$	−39.0421	−	30.7030i	−1.43619	−	1.12943i	−0.969525	−	0.244992i	$-0.921215\pi$
$739$	−39.0421	−	30.7030i	−1.43619	−	1.12943i	−0.466661	−	0.884436i	$-0.654543\pi$
$740$	0.409671	+	4.29027i	0.0150598	+	0.157714i
$741$	−14.3832	+	12.8570i	−0.528381	+	0.472314i
$742$	0.177455	+	0.0851505i	0.00651459	+	0.00312597i
$743$	−4.20940	−	4.85790i	−0.154428	−	0.178219i	0.673264	−	0.739402i	$-0.264892\pi$
$743$	−4.20940	−	4.85790i	−0.154428	−	0.178219i	−0.827692	+	0.561183i	$0.810346\pi$
$744$	−16.2422	+	32.7360i	−0.595468	+	1.20016i
$745$	49.7801	−	47.4653i	1.82380	−	1.73899i
$746$	−14.8810	−	42.9959i	−0.544833	−	1.57419i
$747$	−0.229322	−	0.205529i	−0.00839045	−	0.00751991i
$748$	−12.4012	−	7.96975i	−0.453432	−	0.291403i
$749$	1.85521	+	3.35907i	0.0677879	+	0.122738i
$750$	−23.8993	+	3.81346i	−0.872678	+	0.139248i
$751$	−26.2130	−	33.3325i	−0.956524	−	1.21632i	−0.976279	−	0.216515i	$-0.930531\pi$
$751$	−26.2130	−	33.3325i	−0.956524	−	1.21632i	0.0197551	−	0.999805i	$-0.493711\pi$
$752$	2.68181	+	13.9146i	0.0977956	+	0.507412i
$753$	4.99485	+	13.7419i	0.182023	+	0.500783i
$754$	16.8131	+	16.0313i	0.612298	+	0.583825i
$755$	23.3503	−	51.1300i	0.849803	−	1.86081i
$756$	−10.0706	+	47.0864i	−0.366264	+	1.71251i
$757$	−1.93718	−	3.01432i	−0.0704081	−	0.109557i	0.804264	−	0.594272i	$-0.202560\pi$
$757$	−1.93718	−	3.01432i	−0.0704081	−	0.109557i	−0.874672	+	0.484715i	$0.838923\pi$
$758$	−23.0335	−	39.8952i	−0.836615	−	1.44906i
$759$	−8.29448	−	19.4474i	−0.301070	−	0.705898i
$760$	−39.1290	+	67.7735i	−1.41936	+	2.45840i
$761$	3.58880	−	6.96129i	0.130094	−	0.252347i	−0.814788	−	0.579760i	$-0.803146\pi$
$761$	3.58880	−	6.96129i	0.130094	−	0.252347i	0.944881	+	0.327413i	$0.106177\pi$
$762$	10.2730	+	33.0889i	0.372150	+	1.19869i
$763$	23.2909	+	6.12091i	0.843186	+	0.221592i
$764$	1.92808	−	0.566137i	0.0697556	−	0.0204821i
$765$	−4.51482	−	16.3859i	−0.163234	−	0.592432i
$766$	−2.41148	−	12.5119i	−0.0871303	−	0.452075i
$767$	−1.81967	+	4.54533i	−0.0657046	+	0.164122i
$768$	31.2661	−	25.3784i	1.12822	−	0.915765i
$769$	−23.4345	−	20.3061i	−0.845070	−	0.732258i	0.120413	−	0.992724i	$-0.461578\pi$
$769$	−23.4345	−	20.3061i	−0.845070	−	0.732258i	−0.965483	+	0.260466i	$0.916124\pi$
$770$	−32.6415	−	43.1697i	−1.17632	−	1.55573i
$771$	−16.7961	−	2.15095i	−0.604897	−	0.0774646i
$772$	−22.9651	−	4.42616i	−0.826532	−	0.159301i
$773$	−20.8336	+	19.8648i	−0.749331	+	0.714485i	−0.965078	−	0.261964i	$-0.915630\pi$
$773$	−20.8336	+	19.8648i	−0.749331	+	0.714485i	0.215747	+	0.976449i	$0.430781\pi$
$774$	−7.61972	+	4.23080i	−0.273885	+	0.152073i
$775$	13.1938	−	38.1210i	0.473936	−	1.36935i
$776$	−20.9962	−	45.9753i	−0.753720	−	1.65042i
$777$	−1.62822	−	0.240025i	−0.0584120	−	0.00861086i
$778$	−65.0412	−	29.7033i	−2.33184	−	1.06492i
$779$	−73.9099	+	29.5891i	−2.64810	+	1.06014i
$780$	31.4942	−	16.8565i	1.12767	−	0.603560i
$781$	8.32836	+	4.80838i	0.298012	+	0.172057i
$782$	−7.61055	+	16.9745i	−0.272153	+	0.607008i
$783$	7.09727	−	29.0891i	0.253636	−	1.03956i
$784$	5.39571	−	6.99865i	0.192704	−	0.249952i
$785$	45.9686	+	6.60929i	1.64069	+	0.235896i
$786$	37.5801	+	62.8314i	1.34044	+	2.24112i
$787$	−14.6698	−	3.55886i	−0.522923	−	0.126860i	−0.0343953	−	0.999408i	$-0.510951\pi$
$787$	−14.6698	−	3.55886i	−0.522923	−	0.126860i	−0.488527	+	0.872549i	$0.662466\pi$
$788$	−7.92196	+	82.9625i	−0.282208	+	2.95542i
$789$	−39.5460	+	4.39292i	−1.40788	+	0.156392i
$790$	5.89639	+	41.0103i	0.209784	+	1.45908i
$791$	12.7563	+	29.3974i	0.453561	+	1.04525i
$792$	−26.5070	+	4.65005i	−0.941884	+	0.165232i
$793$	−9.16508	−	0.436587i	−0.325462	−	0.0155037i
$794$	−2.74914	−	5.33258i	−0.0975633	−	0.189246i
$795$	−0.134188	+	0.131961i	−0.00475917	+	0.00468017i
$796$	−2.61998	+	0.635601i	−0.0928628	+	0.0225283i
$797$	−0.669846	−	4.65888i	−0.0237271	−	0.165026i	0.974513	−	0.224332i	$-0.0720202\pi$
$797$	−0.669846	−	4.65888i	−0.0237271	−	0.165026i	−0.998240	+	0.0593065i	$0.981111\pi$
$798$	−50.2480	−	48.2542i	−1.77876	−	1.70818i
$799$	16.8838	−	7.71060i	0.597308	−	0.272781i
$800$	−19.0076	+	19.9346i	−0.672020	+	0.704795i
$801$	9.61431	+	0.619431i	0.339705	+	0.0218865i
$802$	−14.9920	+	19.0639i	−0.529386	+	0.673169i
$803$	−20.7687	−	10.7070i	−0.732910	−	0.377841i
$804$	17.2573	−	8.20526i	0.608617	−	0.289377i
$805$	−30.3776	+	31.0984i	−1.07067	+	1.09608i
$806$			24.1339i			0.850082i
$807$	−18.0440	−	0.580666i	−0.635178	−	0.0204404i
$808$	−46.0364	−	36.2034i	−1.61955	−	1.27363i
$809$	−45.0493	+	32.0794i	−1.58385	+	1.12785i	−0.656082	+	0.754690i	$0.727787\pi$
$809$	−45.0493	+	32.0794i	−1.58385	+	1.12785i	−0.927766	+	0.373163i	$0.878273\pi$
$810$	−61.3956	−	38.2424i	−2.15722	−	1.34370i
$811$	4.14127	+	9.06811i	0.145420	+	0.318425i	0.968300	−	0.249790i	$-0.0803616\pi$
$811$	4.14127	+	9.06811i	0.145420	+	0.318425i	−0.822880	+	0.568215i	$0.807634\pi$
$812$	−33.8001	+	41.3397i	−1.18615	+	1.45074i
$813$	−21.8597	+	14.5298i	−0.766654	+	0.509583i
$814$	−0.505532	−	2.08383i	−0.0177189	−	0.0730383i
$815$	1.28083	+	3.70072i	0.0448656	+	0.129631i
$816$	2.87635	+	2.19101i	0.100692	+	0.0767007i
$817$	0.381912	−	8.01733i	0.0133614	−	0.280491i
$818$	16.3354	+	14.1547i	0.571156	+	0.494909i
$819$	3.37316	+	13.2177i	0.117868	+	0.461862i
$820$	145.913	−	20.9791i	5.09549	−	0.732621i
$821$	−25.4495	−	8.80815i	−0.888193	−	0.307407i	−0.155395	−	0.987852i	$-0.549665\pi$
$821$	−25.4495	−	8.80815i	−0.888193	−	0.307407i	−0.732798	+	0.680446i	$0.761786\pi$
$822$	42.4751	−	15.4387i	1.48149	−	0.538486i
$823$	10.4097	−	42.9093i	0.362859	−	1.49573i	−0.439150	−	0.898414i	$-0.644720\pi$
$823$	10.4097	−	42.9093i	0.362859	−	1.49573i	0.802009	−	0.597312i	$-0.203765\pi$
$824$	50.1330	−	4.78712i	1.74646	−	0.166767i
$825$	28.3712	−	8.80825i	0.987757	−	0.306664i
$826$	−16.8664	−	5.30238i	−0.586858	−	0.184493i
$827$	12.6592			0.440203			0.220101	−	0.975477i	$-0.429361\pi$
$827$	12.6592			0.440203			0.220101	+	0.975477i	$0.429361\pi$
$828$	16.0131	+	47.7801i	0.556494	+	1.66047i
$829$	−7.82295	+	13.5497i	−0.271702	+	0.470602i	−0.969298	−	0.245890i	$-0.920920\pi$
$829$	−7.82295	+	13.5497i	−0.271702	+	0.470602i	0.697596	+	0.716492i	$0.254253\pi$
$830$	−0.824040	+	0.0392539i	−0.0286029	+	0.00136252i
$831$	35.2365	+	32.5749i	1.22234	+	1.13001i
$832$	8.64816	−	18.9368i	0.299821	−	0.656517i
$833$	−10.5749	−	4.70704i	−0.366398	−	0.163089i
$834$	56.1086	+	47.1225i	1.94288	+	1.63172i
$835$	−8.56577	−	2.96464i	−0.296431	−	0.102596i
$836$	21.4727	−	53.6361i	0.742648	−	1.85504i
$837$	26.9590	−	15.5178i	0.931840	−	0.536373i
$838$	−2.62402	+	13.6147i	−0.0906453	+	0.470313i
$839$	−38.3176	−	24.6252i	−1.32287	−	0.850158i	−0.327369	−	0.944896i	$-0.606162\pi$
$839$	−38.3176	−	24.6252i	−1.32287	−	0.850158i	−0.995502	+	0.0947387i	$0.969798\pi$
$840$	29.7509	+	46.6579i	1.02650	+	1.60985i
$841$	2.75399	−	3.17827i	0.0949651	−	0.109596i
$842$	−17.9779	−	74.1058i	−0.619558	−	2.55385i
$843$	1.91031	+	30.2677i	0.0657947	+	1.04248i
$844$	−22.3058	+	4.29909i	−0.767797	+	0.147981i
$845$	−19.9657	+	28.0378i	−0.686839	+	0.964531i
$846$	30.5813	−	72.8310i	1.05141	−	2.50398i
$847$	−8.49993	−	8.41859i	−0.292061	−	0.289266i
$848$	0.00569797	−	0.0396302i	0.000195669	−	0.00136091i
$849$	10.5670	+	0.340053i	0.362659	+	0.0116706i
$850$	−22.6364	−	13.0692i	−0.776424	−	0.448268i
$851$	−1.59456	+	0.651198i	−0.0546608	+	0.0223228i
$852$	−18.8739	−	13.0059i	−0.646610	−	0.445575i
$853$	15.0587	−	9.67761i	0.515599	−	0.331355i	−0.256830	−	0.966457i	$-0.582678\pi$
$853$	15.0587	−	9.67761i	0.515599	−	0.331355i	0.772429	+	0.635102i	$0.219042\pi$
$854$	−0.947748	−	33.1203i	−0.0324313	−	1.13335i
$855$	59.7107	−	29.5286i	2.04206	−	1.00986i
$856$	3.52753	−	3.69956i	0.120568	−	0.126448i
$857$	−2.14257	+	22.4380i	−0.0731888	+	0.766468i	0.882153	+	0.470964i	$0.156094\pi$
$857$	−2.14257	+	22.4380i	−0.0731888	+	0.766468i	−0.955341	+	0.295504i	$0.904512\pi$
$858$	−14.3165	+	10.5314i	−0.488756	+	0.359535i
$859$	15.0405	−	11.8280i	0.513175	−	0.403565i	−0.327711	−	0.944778i	$-0.606277\pi$
$859$	15.0405	−	11.8280i	0.513175	−	0.403565i	0.840886	+	0.541213i	$0.182035\pi$
$860$	−4.18709	+	14.2599i	−0.142779	+	0.486260i
$861$	−5.55065	+	56.0196i	−0.189166	+	1.90914i
$862$	25.0715	−	39.0120i	0.853938	−	1.32875i
$863$	26.1459	+	1.24548i	0.890017	+	0.0423968i	0.487608	−	0.873063i	$-0.337870\pi$
$863$	26.1459	+	1.24548i	0.890017	+	0.0423968i	0.402410	+	0.915460i	$0.368173\pi$
$864$	−21.1458	+	1.99126i	−0.719395	+	0.0677440i
$865$	−28.8679	−	30.2758i	−0.981540	−	1.02941i
$866$	−40.0187	+	31.4710i	−1.35989	+	1.06943i
$867$	−9.91638	+	22.6316i	−0.336778	+	0.768609i
$868$	−55.3130	+	4.22344i	−1.87745	+	0.143353i
$869$	−3.69671	−	12.5898i	−0.125402	−	0.427081i
$870$	−41.1743	−	68.8407i	−1.39594	−	2.33392i
$871$	3.34640	−	4.25529i	0.113388	−	0.144185i
$872$	−1.52641	−	32.0433i	−0.0516908	−	1.08512i
$873$	−6.83458	+	42.4755i	−0.231315	+	1.43758i
$874$	−70.9699	−	16.6982i	−2.40059	−	0.564824i
$875$	−10.0925	−	12.1044i	−0.341188	−	0.409203i
$876$	47.3103	+	29.3830i	1.59847	+	0.992759i
$877$	−17.3031	+	6.92713i	−0.584285	+	0.233913i	−0.644923	−	0.764247i	$-0.723111\pi$
$877$	−17.3031	+	6.92713i	−0.584285	+	0.233913i	0.0606381	+	0.998160i	$0.480686\pi$
$878$	−28.0937	+	20.0054i	−0.948117	+	0.675151i
$879$	38.0069	−	7.93533i	1.28194	−	0.267652i
$880$	−6.38589	+	8.96773i	−0.215268	+	0.302302i
$881$	−22.0232	−	25.4161i	−0.741979	−	0.856290i	0.251786	−	0.967783i	$-0.418982\pi$
$881$	−22.0232	−	25.4161i	−0.741979	−	0.856290i	−0.993765	+	0.111493i	$0.964437\pi$
$882$	−46.6648	+	15.7795i	−1.57129	+	0.531323i
$883$	−6.82260	−	2.00330i	−0.229599	−	0.0674163i	0.164909	−	0.986309i	$-0.447267\pi$
$883$	−6.82260	−	2.00330i	−0.229599	−	0.0674163i	−0.394508	+	0.918892i	$0.629085\pi$
$884$	9.77397	+	1.88378i	0.328734	+	0.0633583i
$885$	10.2440	−	13.4483i	0.344349	−	0.452060i
$886$	5.46181	−	2.81576i	0.183493	−	0.0945972i
$887$	9.66150	−	50.1286i	0.324401	−	1.68315i	−0.343696	−	0.939081i	$-0.611679\pi$
$887$	9.66150	−	50.1286i	0.324401	−	1.68315i	0.668098	−	0.744074i	$-0.267109\pi$
$888$	0.345460	+	2.16503i	0.0115929	+	0.0726535i
$889$	−15.0960	+	16.7674i	−0.506304	+	0.562361i
$890$	19.5057	−	16.9018i	0.653833	−	0.566550i
$891$	20.9694	+	9.22081i	0.702503	+	0.308909i
$892$	−15.3498	+	63.2729i	−0.513950	+	2.11853i
$893$	42.1966	+	59.2569i	1.41206	+	1.98295i
$894$	55.3695	−	59.8936i	1.85183	−	2.00314i
$895$	7.26980	+	11.3120i	0.243003	+	0.378120i
$896$	50.2611	+	18.4717i	1.67911	+	0.617095i
$897$	10.0801	+	10.1094i	0.336563	+	0.337542i
$898$	−6.57184	−	11.3828i	−0.219305	−	0.379848i
$899$	34.4569	−	1.64138i	1.14920	−	0.0547433i
$900$	−69.0793	+	15.5389i	−2.30264	+	0.517964i
$901$	−0.0522054	+	0.00498501i	−0.00173921	+	0.000166075i
$902$	−70.3725	+	20.6632i	−2.34315	+	0.688010i
$903$	−4.90495	−	2.85522i	−0.163226	−	0.0950157i
$904$	32.2619	−	27.9551i	1.07301	−	0.929772i
$905$	−34.6912	−	44.1135i	−1.15318	−	1.46638i
$906$	23.8159	−	62.2566i	0.791231	−	2.06834i
$907$	−41.6676	+	14.4213i	−1.38355	+	0.478851i	−0.914595	−	0.404371i	$-0.867491\pi$
$907$	−41.6676	+	14.4213i	−1.38355	+	0.478851i	−0.468955	+	0.883222i	$0.655369\pi$
$908$	3.93300	−	82.5638i	0.130521	−	2.73998i
$909$	15.5141	+	47.3762i	0.514569	+	1.57137i
$910$	31.2957	+	18.8700i	1.03744	+	0.625533i
$911$	−11.5765	−	3.39917i	−0.383547	−	0.112620i	0.0842744	−	0.996443i	$-0.473143\pi$
$911$	−11.5765	−	3.39917i	−0.383547	−	0.112620i	−0.467821	+	0.883823i	$0.654961\pi$
$912$	−6.29846	+	12.6945i	−0.208563	+	0.420357i
$913$	0.256545	−	0.0494449i	0.00849039	−	0.00163639i
$914$	−19.5979	−	1.87137i	−0.648241	−	0.0618995i
$915$	30.0958	+	9.89897i	0.994937	+	0.327250i
$916$	−45.2892	−	20.6829i	−1.49640	−	0.683381i
$917$	−22.6469	+	41.9530i	−0.747867	+	1.38541i
$918$	−6.56724	−	19.0555i	−0.216751	−	0.628924i
$919$	28.8897	−	16.6795i	0.952985	−	0.550206i	0.0589779	−	0.998259i	$-0.481216\pi$
$919$	28.8897	−	16.6795i	0.952985	−	0.550206i	0.894007	+	0.448053i	$0.147883\pi$
$920$	51.6558	+	26.1798i	1.70304	+	0.863121i
$921$	−43.0563	−	3.44188i	−1.41875	−	0.113414i
$922$	−49.4195	−	25.4775i	−1.62755	−	0.839058i
$923$	−6.42748	−	0.924132i	−0.211563	−	0.0304182i
$924$	−26.6424	−	30.9692i	−0.876471	−	1.01881i
$925$	−0.681832	−	2.32211i	−0.0224185	−	0.0763504i
$926$	−54.1695	−	38.5739i	−1.78012	−	1.26762i
$927$	−37.7677	−	20.2779i	−1.24046	−	0.666013i
$928$	−21.8668	−	8.75413i	−0.717812	−	0.287369i
$929$	−23.4096	+	5.67912i	−0.768046	+	0.186326i	−0.600594	−	0.799554i	$-0.705069\pi$
$929$	−23.4096	+	5.67912i	−0.768046	+	0.186326i	−0.167452	+	0.985880i	$0.553554\pi$
$930$	22.2408	−	80.3092i	0.729306	−	2.63344i
$931$	10.2710	−	44.1878i	0.336619	−	1.44820i
$932$	36.0784	−	56.1391i	1.18179	−	1.83890i
$933$	28.7599	−	7.44877i	0.941556	−	0.243862i
$934$	8.67044	+	9.09330i	0.283706	+	0.297542i
$935$	13.3871	+	5.35940i	0.437806	+	0.175271i
$936$	15.4494	−	9.56713i	0.504978	−	0.312712i
$937$	−2.97725	+	1.35966i	−0.0972624	+	0.0444183i	−0.463452	−	0.886122i	$-0.653389\pi$
$937$	−2.97725	+	1.35966i	−0.0972624	+	0.0444183i	0.366190	+	0.930540i	$0.380662\pi$
$938$	16.2418	+	10.8793i	0.530315	+	0.355222i
$939$	0.378208	+	24.5087i	0.0123424	+	0.799811i
$940$	−50.0622	−	125.049i	−1.63285	−	4.07866i
$941$	−2.81575	−	59.1098i	−0.0917907	−	1.92692i	−0.309480	−	0.950906i	$-0.600155\pi$
$941$	−2.81575	−	59.1098i	−0.0917907	−	1.92692i	0.217689	−	0.976018i	$-0.430148\pi$
$942$	54.8977	+	4.38847i	1.78866	+	0.142984i
$943$	24.8437	+	53.4191i	0.809022	+	1.73957i
$944$			3.59644i			0.117054i
$945$	0.956159	−	47.0922i	0.0311038	−	1.53191i
$946$	1.05233	−	7.31910i	0.0342141	−	0.237964i
$947$	0.522717	+	5.47414i	0.0169860	+	0.177886i	0.999984	−	0.00573300i	$-0.00182488\pi$
$947$	0.522717	+	5.47414i	0.0169860	+	0.177886i	−0.982998	+	0.183619i	$0.941219\pi$
$948$	6.39180	+	30.6140i	0.207596	+	0.994297i
$949$	15.7062	+	1.49976i	0.509845	+	0.0486843i
$950$	33.5056	−	96.8080i	1.08706	−	3.14087i
$951$	−8.04019	−	12.0963i	−0.260721	−	0.392248i
$952$	−1.75696	+	15.3190i	−0.0569433	+	0.496493i
$953$	−4.32242	+	4.98834i	−0.140017	+	0.161588i	−0.821427	−	0.570314i	$-0.806822\pi$
$953$	−4.32242	+	4.98834i	−0.140017	+	0.161588i	0.681410	+	0.731902i	$0.261367\pi$
$954$	−0.148955	+	0.166199i	−0.00482261	+	0.00538090i
$955$	−1.74718	+	0.900732i	−0.0565373	+	0.0291470i
$956$	43.7251	−	15.1334i	1.41417	−	0.489449i
$957$	16.0097	+	19.7239i	0.517520	+	0.637583i
$958$	−64.6528	+	9.29567i	−2.08884	+	0.300330i
$959$	22.7838	+	18.6284i	0.735727	+	0.601542i
$960$	−46.2294	+	55.0453i	−1.49205	+	1.77658i
$961$	3.50046	+	3.33768i	0.112918	+	0.107667i
$962$	0.839859	+	1.17942i	0.0270781	+	0.0380259i
$963$	−4.24506	+	0.954897i	−0.136795	+	0.0307711i
$964$	25.6339	−	49.7228i	0.825612	−	1.60146i
$965$	22.8781			0.736471
$966$	−33.6291	+	39.0741i	−1.08200	+	1.25719i
$967$	41.5132			1.33498			0.667488	−	0.744621i	$-0.267370\pi$
$967$	41.5132			1.33498			0.667488	+	0.744621i	$0.267370\pi$
$968$	−7.30254	+	14.1650i	−0.234713	+	0.455279i
$969$	18.1040	+	4.09726i	0.581583	+	0.131623i
$970$	66.8538	+	93.8830i	2.14655	+	3.01440i
$971$	9.03461	+	8.61448i	0.289934	+	0.276452i	0.821061	−	0.570841i	$-0.193383\pi$
$971$	9.03461	+	8.61448i	0.289934	+	0.276452i	−0.531126	+	0.847293i	$0.678231\pi$
$972$	−48.0696	−	25.8902i	−1.54183	−	0.830427i
$973$	−7.68607	+	47.0906i	−0.246404	+	1.50966i
$974$	−5.13735	+	0.738639i	−0.164611	+	0.0236675i
$975$	−15.5744	+	12.6416i	−0.498781	+	0.404856i
$976$	−6.36926	+	2.20442i	−0.203875	+	0.0705618i
$977$	−42.9958	+	22.1659i	−1.37556	+	0.709149i	−0.978034	−	0.208444i	$-0.933160\pi$
$977$	−42.9958	+	22.1659i	−1.37556	+	0.709149i	−0.397522	+	0.917592i	$0.630130\pi$
$978$	1.79230	+	4.28414i	0.0573113	+	0.136992i
$979$	−5.35273	+	6.17738i	−0.171074	+	0.197430i
$980$	−37.7717	+	75.0294i	−1.20657	+	2.39673i
$981$	−14.0470	+	23.4160i	−0.448486	+	0.747614i
$982$	3.25904	−	9.41638i	0.104000	−	0.300489i
$983$	−18.3784	−	1.75492i	−0.586179	−	0.0559733i	−0.202247	−	0.979335i	$-0.564824\pi$
$983$	−18.3784	−	1.75492i	−0.586179	−	0.0559733i	−0.383932	+	0.923361i	$0.625430\pi$
$984$	73.4070	−	15.3264i	2.34013	−	0.488588i
$985$	−7.74932	−	81.1546i	−0.246914	−	2.58580i
$986$	3.18100	−	22.1243i	0.101304	−	0.704583i
$987$	50.9404	−	7.13902i	1.62145	−	0.227237i
$988$			39.0115i			1.24112i
$989$	−5.93943	+	0.0410838i	−0.188863	+	0.00130639i
$990$	57.3454	−	21.8512i	1.82256	−	0.694477i
$991$	−1.03027	−	21.6280i	−0.0327275	−	0.687035i	−0.954304	−	0.298838i	$-0.903401\pi$
$991$	−1.03027	−	21.6280i	−0.0327275	−	0.687035i	0.921576	−	0.388197i	$-0.126902\pi$
$992$	−9.09436	−	22.7166i	−0.288746	−	0.721253i
$993$	0.709947	−	0.0109556i	0.0225295	−	0.000347666i
$994$	1.56038	−	23.3972i	0.0494923	−	0.742114i
$995$	2.39891	−	1.09554i	0.0760505	−	0.0347311i
$996$	−0.618910	+	0.0687508i	−0.0196109	+	0.00217845i
$997$	14.2646	+	5.71068i	0.451764	+	0.180859i	0.586376	−	0.810039i	$-0.300554\pi$
$997$	14.2646	+	5.71068i	0.451764	+	0.180859i	−0.134611	+	0.990898i	$0.542979\pi$
$998$	35.4136	+	37.1407i	1.12100	+	1.17567i
$999$	0.777460	−	1.69652i	0.0245977	−	0.0536755i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bc.a.11.7	✓	1200
3.2	odd	2	inner	483.2.bc.a.11.54	yes	1200
7.2	even	3	inner	483.2.bc.a.149.54	yes	1200
21.2	odd	6	inner	483.2.bc.a.149.7	yes	1200
23.21	odd	22	inner	483.2.bc.a.389.7	yes	1200
69.44	even	22	inner	483.2.bc.a.389.54	yes	1200
161.44	odd	66	inner	483.2.bc.a.44.54	yes	1200
483.44	even	66	inner	483.2.bc.a.44.7	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bc.a.11.7	✓	1200	1.1	even	1	trivial
483.2.bc.a.11.54	yes	1200	3.2	odd	2	inner
483.2.bc.a.44.7	yes	1200	483.44	even	66	inner
483.2.bc.a.44.54	yes	1200	161.44	odd	66	inner
483.2.bc.a.149.7	yes	1200	21.2	odd	6	inner
483.2.bc.a.149.54	yes	1200	7.2	even	3	inner
483.2.bc.a.389.7	yes	1200	23.21	odd	22	inner
483.2.bc.a.389.54	yes	1200	69.44	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bc (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.07488 + 2.08498i) q^{2} +(0.382326 - 1.68933i) q^{3} +(-2.03164 - 2.85304i) q^{4} +(2.47963 + 2.36432i) q^{5} +(3.11125 + 2.61296i) q^{6} +(-0.426197 + 2.61120i) q^{7} +(3.48857 - 0.501581i) q^{8} +(-2.70765 - 1.29175i) q^{9} +O(q^{10})\)	\(q+(-1.07488 + 2.08498i) q^{2} +(0.382326 - 1.68933i) q^{3} +(-2.03164 - 2.85304i) q^{4} +(2.47963 + 2.36432i) q^{5} +(3.11125 + 2.61296i) q^{6} +(-0.426197 + 2.61120i) q^{7} +(3.48857 - 0.501581i) q^{8} +(-2.70765 - 1.29175i) q^{9} +(-7.59486 + 2.62861i) q^{10} +(2.26231 - 1.16630i) q^{11} +(-5.59647 + 2.34132i) q^{12} +(-1.12547 + 1.29886i) q^{13} +(-4.98617 - 3.69533i) q^{14} +(4.94214 - 3.28496i) q^{15} +(-0.412906 + 1.19301i) q^{16} +(1.64611 + 0.157184i) q^{17} +(5.60366 - 4.25692i) q^{18} +(0.616042 + 6.45148i) q^{19} +(1.70779 - 11.8779i) q^{20} +(4.24822 + 1.71831i) q^{21} +5.97048i q^{22} +(4.74218 - 0.715337i) q^{23} +(0.486437 - 6.08510i) q^{24} +(0.320635 + 6.73095i) q^{25} +(-1.49835 - 3.74270i) q^{26} +(-3.21739 + 4.08024i) q^{27} +(8.31574 - 4.08906i) q^{28} +(-5.24168 + 2.39379i) q^{29} +(1.53686 + 13.8352i) q^{30} +(-5.55756 - 2.22491i) q^{31} +(2.82071 + 2.95828i) q^{32} +(-1.10532 - 4.26768i) q^{33} +(-2.09709 + 3.26314i) q^{34} +(-7.23052 + 5.46714i) q^{35} +(1.81557 + 10.3494i) q^{36} +(-0.349023 + 0.0846719i) q^{37} +(-14.1134 - 5.65014i) q^{38} +(1.76391 + 2.39788i) q^{39} +(9.83626 + 7.00437i) q^{40} +(3.46090 + 11.7867i) q^{41} +(-8.14897 + 7.01046i) q^{42} +(-1.22588 - 0.176255i) q^{43} +(-7.92370 - 4.08495i) q^{44} +(-3.65987 - 9.60482i) q^{45} +(-3.60582 + 10.6562i) q^{46} +(9.72091 - 5.61237i) q^{47} +(1.85752 + 1.15365i) q^{48} +(-6.63671 - 2.22577i) q^{49} +(-14.3785 - 6.56645i) q^{50} +(0.894886 - 2.72072i) q^{51} +(5.99226 + 0.572191i) q^{52} +(-0.0311413 + 0.00600200i) q^{53} +(-5.04890 - 11.0940i) q^{54} +(8.36719 + 2.45683i) q^{55} +(-0.177090 + 9.32312i) q^{56} +(11.1342 + 1.42587i) q^{57} +(0.643171 - 13.5018i) q^{58} +(2.69211 - 0.931747i) q^{59} +(-19.4128 - 7.42627i) q^{60} +(3.30023 + 4.19658i) q^{61} +(10.6126 - 9.19586i) q^{62} +(4.52700 - 6.51968i) q^{63} +(-11.6225 + 3.41267i) q^{64} +(-5.86168 + 0.559722i) q^{65} +(10.0861 + 2.28267i) q^{66} +(-3.14630 + 0.149877i) q^{67} +(-2.89585 - 5.01576i) q^{68} +(0.604622 - 8.28459i) q^{69} +(-3.62691 - 20.9520i) q^{70} +(2.04272 + 3.17853i) q^{71} +(-10.0938 - 3.14825i) q^{72} +(-5.32510 - 7.47806i) q^{73} +(0.198618 - 0.818716i) q^{74} +(11.4934 + 2.03176i) q^{75} +(17.1548 - 14.8647i) q^{76} +(2.08125 + 6.40440i) q^{77} +(-6.89550 + 1.10027i) q^{78} +(0.975635 - 5.06207i) q^{79} +(-3.84452 + 1.98199i) q^{80} +(5.66278 + 6.99521i) q^{81} +(-28.2951 - 5.45343i) q^{82} +(0.0984907 + 0.0289195i) q^{83} +(-3.72844 - 15.6114i) q^{84} +(3.71010 + 4.28169i) q^{85} +(1.68516 - 2.36648i) q^{86} +(2.03987 + 9.77012i) q^{87} +(7.30722 - 5.20345i) q^{88} +(-2.98138 + 1.19356i) q^{89} +(23.9597 + 2.69329i) q^{90} +(-2.91191 - 3.49240i) q^{91} +(-11.6753 - 12.0763i) q^{92} +(-5.88340 + 8.53789i) q^{93} +(1.25285 + 26.3005i) q^{94} +(-13.7258 + 17.4538i) q^{95} +(6.07593 - 3.63408i) q^{96} +(-4.04022 - 13.7597i) q^{97} +(11.7743 - 11.4450i) q^{98} +(-7.63211 + 0.235607i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9	\( 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28} - 55 q^{30} - 18 q^{31} - 11 q^{33} - 88 q^{34} - 108 q^{36} - 66 q^{37} + q^{39} - 22 q^{40} - 22 q^{42} - 2 q^{46} - 228 q^{48} - 128 q^{49} - 11 q^{51} - 166 q^{52} + 35 q^{54} - 160 q^{55} - 44 q^{57} - 126 q^{58} - 11 q^{60} + 66 q^{61} + 33 q^{63} + 40 q^{64} + 22 q^{66} - 22 q^{67} - 24 q^{69} + 68 q^{70} - 149 q^{72} - 42 q^{73} + 123 q^{75} - 88 q^{76} - 108 q^{78} - 66 q^{79} - 81 q^{81} - 14 q^{82} + 44 q^{84} - 200 q^{85} + 75 q^{87} + 66 q^{88} + 16 q^{93} - 146 q^{94} + 5 q^{96} - 88 q^{97} - 308 q^{99}+O(q^{100}) \) 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

Introduction

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