LMFDB - Embedded newform 483.2.bb.a.26.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(26,483)]

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, 55, 48]))

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

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

chi := DirichletCharacter("483.26");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bb (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			26.4
Character	$\chi$	$=$	483.26
Dual form			483.2.bb.a.353.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.971305 + 2.42620i) q^{2} +(1.35467 + 1.07929i) q^{3} +(-3.49556 - 3.33301i) q^{4} +(-0.822695 - 2.37702i) q^{5} +(-3.93437 + 2.23840i) q^{6} +(2.00942 - 1.72112i) q^{7} +(6.72732 - 3.07226i) q^{8} +(0.670288 + 2.92416i) q^{9} +O(q^{10})$	\(q+(-0.971305 + 2.42620i) q^{2} +(1.35467 + 1.07929i) q^{3} +(-3.49556 - 3.33301i) q^{4} +(-0.822695 - 2.37702i) q^{5} +(-3.93437 + 2.23840i) q^{6} +(2.00942 - 1.72112i) q^{7} +(6.72732 - 3.07226i) q^{8} +(0.670288 + 2.92416i) q^{9} +(6.56622 + 0.312788i) q^{10} +(1.79268 + 4.47791i) q^{11} +(-1.13808 - 8.28784i) q^{12} +(1.53810 - 2.39334i) q^{13} +(2.22402 + 6.54698i) q^{14} +(1.45100 - 4.10801i) q^{15} +(0.460025 + 9.65710i) q^{16} +(1.36407 + 5.62277i) q^{17} +(-7.74566 - 1.21400i) q^{18} +(-0.295808 - 0.0717623i) q^{19} +(-5.04685 + 11.0511i) q^{20} +(4.57968 - 0.162821i) q^{21} -12.6055 q^{22} +(0.0167810 - 4.79580i) q^{23} +(12.4292 + 3.09878i) q^{24} +(-1.04314 + 0.820334i) q^{25} +(4.31275 + 6.05641i) q^{26} +(-2.24798 + 4.68472i) q^{27} +(-12.7605 - 0.681135i) q^{28} +(-1.97996 + 6.74314i) q^{29} +(8.55751 + 7.51055i) q^{30} +(4.10934 + 2.92625i) q^{31} +(-9.89912 - 3.42612i) q^{32} +(-2.40443 + 8.00092i) q^{33} +(-14.9669 - 2.15192i) q^{34} +(-5.74427 - 3.36047i) q^{35} +(7.40322 - 12.4556i) q^{36} +(6.17975 - 1.19105i) q^{37} +(0.461430 - 0.647987i) q^{38} +(4.66673 - 1.58214i) q^{39} +(-12.8374 - 13.4634i) q^{40} +(8.02968 - 9.26675i) q^{41} +(-4.05323 + 11.2694i) q^{42} +(-0.577766 + 1.26513i) q^{43} +(8.65846 - 21.6278i) q^{44} +(6.39935 - 3.99898i) q^{45} +(11.6193 + 4.69890i) q^{46} +(1.57337 - 2.72516i) q^{47} +(-9.79958 + 13.5787i) q^{48} +(1.07551 - 6.91688i) q^{49} +(-0.977090 - 3.32766i) q^{50} +(-4.22070 + 9.08925i) q^{51} +(-13.3535 + 3.23953i) q^{52} +(-0.835013 + 1.61970i) q^{53} +(-9.18260 - 10.0043i) q^{54} +(9.16925 - 7.94520i) q^{55} +(8.23026 - 17.7520i) q^{56} +(-0.323272 - 0.416476i) q^{57} +(-14.4371 - 11.3534i) q^{58} +(-0.275736 + 5.78841i) q^{59} +(-18.7641 + 9.52360i) q^{60} +(0.281766 - 2.95079i) q^{61} +(-11.0911 + 7.12782i) q^{62} +(6.37971 + 4.72221i) q^{63} +(5.26506 - 6.07620i) q^{64} +(-6.95441 - 1.68712i) q^{65} +(-17.0764 - 13.6050i) q^{66} +(-9.92417 + 7.80445i) q^{67} +(13.9726 - 24.2012i) q^{68} +(5.19877 - 6.47864i) q^{69} +(13.7326 - 10.6727i) q^{70} +(-6.54253 + 0.940674i) q^{71} +(13.4930 + 17.6125i) q^{72} +(1.09806 - 1.15161i) q^{73} +(-3.11270 + 16.1502i) q^{74} +(-2.29849 - 0.0145591i) q^{75} +(0.794830 + 1.23678i) q^{76} +(11.3092 + 5.91256i) q^{77} +(-0.694219 + 12.8592i) q^{78} +(-3.00097 + 1.54711i) q^{79} +(22.5767 - 9.03834i) q^{80} +(-8.10143 + 3.92006i) q^{81} +(14.6837 + 28.4825i) q^{82} +(-7.76369 - 8.95978i) q^{83} +(-16.5512 - 14.6950i) q^{84} +(12.2432 - 7.86825i) q^{85} +(-2.50828 - 2.63060i) q^{86} +(-9.95997 + 6.99781i) q^{87} +(25.8173 + 24.6167i) q^{88} +(-7.55431 - 10.6086i) q^{89} +(3.48662 + 19.4103i) q^{90} +(-1.02852 - 7.45647i) q^{91} +(-16.0431 + 16.7081i) q^{92} +(2.40857 + 8.39927i) q^{93} +(5.08357 + 6.46428i) q^{94} +(0.0727795 + 0.762181i) q^{95} +(-9.71233 - 15.3252i) q^{96} +(6.34097 + 5.49448i) q^{97} +(15.7371 + 9.32781i) q^{98} +(-11.8925 + 8.24358i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{11}\right)$

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 $

$2$	−0.971305	+	2.42620i	−0.686816	+	1.71558i	0.0116411	+	0.999932i	$0.496294\pi$
$2$	−0.971305	+	2.42620i	−0.686816	+	1.71558i	−0.698457	+	0.715652i	$0.746130\pi$
$3$	1.35467	+	1.07929i	0.782122	+	0.623126i
$3$	1.35467	+	1.07929i	0.782122	+	0.623126i
$4$	−3.49556	−	3.33301i	−1.74778	−	1.66650i
$5$	−0.822695	−	2.37702i	−0.367921	−	1.06304i	−0.965315	−	0.261089i	$-0.915918\pi$
$5$	−0.822695	−	2.37702i	−0.367921	−	1.06304i	0.597394	−	0.801948i	$-0.296203\pi$
$6$	−3.93437	+	2.23840i	−1.60620	+	0.913823i
$7$	2.00942	−	1.72112i	0.759488	−	0.650521i
$7$	2.00942	−	1.72112i	0.759488	−	0.650521i
$8$	6.72732	−	3.07226i	2.37847	−	1.08621i
$9$	0.670288	+	2.92416i	0.223429	+	0.974720i
$10$	6.56622	+	0.312788i	2.07642	+	0.0989122i
$11$	1.79268	+	4.47791i	0.540514	+	1.35014i	0.907555	+	0.419934i	$0.137947\pi$
$11$	1.79268	+	4.47791i	0.540514	+	1.35014i	−0.367040	+	0.930205i	$0.619629\pi$
$12$	−1.13808	−	8.28784i	−0.328535	−	2.39249i
$13$	1.53810	−	2.39334i	0.426593	−	0.663792i	−0.559718	−	0.828683i	$-0.689091\pi$
$13$	1.53810	−	2.39334i	0.426593	−	0.663792i	0.986312	+	0.164890i	$0.0527271\pi$
$14$	2.22402	+	6.54698i	0.594395	+	1.74975i
$15$	1.45100	−	4.10801i	0.374646	−	1.06068i
$16$	0.460025	+	9.65710i	0.115006	+	2.41428i
$17$	1.36407	+	5.62277i	0.330836	+	1.36372i	0.857865	+	0.513876i	$0.171791\pi$
$17$	1.36407	+	5.62277i	0.330836	+	1.36372i	−0.527029	+	0.849847i	$0.676694\pi$
$18$	−7.74566	−	1.21400i	−1.82567	−	0.286142i
$19$	−0.295808	−	0.0717623i	−0.0678630	−	0.0164634i	0.201684	−	0.979451i	$-0.435359\pi$
$19$	−0.295808	−	0.0717623i	−0.0678630	−	0.0164634i	−0.269547	+	0.962987i	$0.586874\pi$
$20$	−5.04685	+	11.0511i	−1.12851	+	2.47109i
$21$	4.57968	−	0.162821i	0.999369	−	0.0355305i
$22$	−12.6055			−2.68751
$23$	0.0167810	−	4.79580i	0.00349909	−	0.999994i
$23$	0.0167810	−	4.79580i	0.00349909	−	0.999994i
$24$	12.4292	+	3.09878i	2.53710	+	0.632535i
$25$	−1.04314	+	0.820334i	−0.208628	+	0.164067i
$26$	4.31275	+	6.05641i	0.845800	+	1.18776i
$27$	−2.24798	+	4.68472i	−0.432624	+	0.901574i
$28$	−12.7605	−	0.681135i	−2.41151	−	0.128722i
$29$	−1.97996	+	6.74314i	−0.367670	+	1.25217i	0.543245	+	0.839574i	$0.317196\pi$
$29$	−1.97996	+	6.74314i	−0.367670	+	1.25217i	−0.910915	+	0.412595i	$0.864623\pi$
$30$	8.55751	+	7.51055i	1.56238	+	1.37123i
$31$	4.10934	+	2.92625i	0.738060	+	0.525570i	0.886147	−	0.463404i	$-0.153372\pi$
$31$	4.10934	+	2.92625i	0.738060	+	0.525570i	−0.148087	+	0.988974i	$0.547312\pi$
$32$	−9.89912	−	3.42612i	−1.74993	−	0.605658i
$33$	−2.40443	+	8.00092i	−0.418558	+	1.39278i
$34$	−14.9669	−	2.15192i	−2.56680	−	0.369051i
$35$	−5.74427	−	3.36047i	−0.970959	−	0.568023i
$36$	7.40322	−	12.4556i	1.23387	−	2.07594i
$37$	6.17975	−	1.19105i	1.01595	−	0.195807i	0.346013	−	0.938230i	$-0.387535\pi$
$37$	6.17975	−	1.19105i	1.01595	−	0.195807i	0.669932	+	0.742422i	$0.266323\pi$
$38$	0.461430	−	0.647987i	0.0748538	−	0.105117i
$39$	4.66673	−	1.58214i	0.747274	−	0.253345i
$40$	−12.8374	−	13.4634i	−2.02977	−	2.12876i
$41$	8.02968	−	9.26675i	1.25403	−	1.44722i	0.408966	−	0.912549i	$-0.365889\pi$
$41$	8.02968	−	9.26675i	1.25403	−	1.44722i	0.845059	−	0.534673i	$-0.179565\pi$
$42$	−4.05323	+	11.2694i	−0.625427	+	1.73890i
$43$	−0.577766	+	1.26513i	−0.0881084	+	0.192931i	−0.948557	−	0.316607i	$-0.897456\pi$
$43$	−0.577766	+	1.26513i	−0.0881084	+	0.192931i	0.860448	+	0.509538i	$0.170184\pi$
$44$	8.65846	−	21.6278i	1.30531	−	3.26051i
$45$	6.39935	−	3.99898i	0.953959	−	0.596133i
$46$	11.6193	+	4.69890i	1.71317	+	0.692815i
$47$	1.57337	−	2.72516i	0.229500	−	0.397506i	−0.728160	−	0.685407i	$-0.759624\pi$
$47$	1.57337	−	2.72516i	0.229500	−	0.397506i	0.957660	+	0.287902i	$0.0929576\pi$
$48$	−9.79958	+	13.5787i	−1.41445	+	1.95992i
$49$	1.07551	−	6.91688i	0.153644	−	0.988126i
$50$	−0.977090	−	3.32766i	−0.138181	−	0.470603i
$51$	−4.22070	+	9.08925i	−0.591017	+	1.27275i
$52$	−13.3535	+	3.23953i	−1.85180	+	0.449242i
$53$	−0.835013	+	1.61970i	−0.114698	+	0.222483i	−0.939196	−	0.343382i	$-0.888427\pi$
$53$	−0.835013	+	1.61970i	−0.114698	+	0.222483i	0.824498	+	0.565865i	$0.191458\pi$
$54$	−9.18260	−	10.0043i	−1.24959	−	1.36142i
$55$	9.16925	−	7.94520i	1.23638	−	1.07133i
$56$	8.23026	−	17.7520i	1.09981	−	2.37221i
$57$	−0.323272	−	0.416476i	−0.0428184	−	0.0551636i
$58$	−14.4371	−	11.3534i	−1.89568	−	1.49078i
$59$	−0.275736	+	5.78841i	−0.0358977	+	0.753586i	0.907126	+	0.420860i	$0.138272\pi$
$59$	−0.275736	+	5.78841i	−0.0358977	+	0.753586i	−0.943023	+	0.332726i	$0.892031\pi$
$60$	−18.7641	+	9.52360i	−2.42243	+	1.22949i
$61$	0.281766	−	2.95079i	0.0360765	−	0.377810i	−0.959346	−	0.282234i	$-0.908925\pi$
$61$	0.281766	−	2.95079i	0.0360765	−	0.377810i	0.995422	−	0.0955762i	$-0.0304694\pi$
$62$	−11.0911	+	7.12782i	−1.40857	+	0.905234i
$63$	6.37971	+	4.72221i	0.803768	+	0.594943i
$64$	5.26506	−	6.07620i	0.658133	−	0.759526i
$65$	−6.95441	−	1.68712i	−0.862588	−	0.209262i
$66$	−17.0764	−	13.6050i	−2.10196	−	1.67466i
$67$	−9.92417	+	7.80445i	−1.21243	+	0.953466i	−0.999720	−	0.0236495i	$-0.992471\pi$
$67$	−9.92417	+	7.80445i	−1.21243	+	0.953466i	−0.212710	+	0.977115i	$0.568229\pi$
$68$	13.9726	−	24.2012i	1.69442	−	2.93482i
$69$	5.19877	−	6.47864i	0.625858	−	0.779937i
$70$	13.7326	−	10.6727i	1.64136	−	1.27563i
$71$	−6.54253	+	0.940674i	−0.776456	+	0.111638i	−0.519139	−	0.854690i	$-0.673747\pi$
$71$	−6.54253	+	0.940674i	−0.776456	+	0.111638i	−0.257317	+	0.966327i	$0.582838\pi$
$72$	13.4930	+	17.6125i	1.59017	+	2.07565i
$73$	1.09806	−	1.15161i	0.128518	−	0.134786i	−0.656330	−	0.754474i	$-0.727892\pi$
$73$	1.09806	−	1.15161i	0.128518	−	0.134786i	0.784848	+	0.619688i	$0.212741\pi$
$74$	−3.11270	+	16.1502i	−0.361844	+	1.87742i
$75$	−2.29849	−	0.0145591i	−0.265407	−	0.00168114i
$76$	0.794830	+	1.23678i	0.0911732	+	0.141868i
$77$	11.3092	+	5.91256i	1.28881	+	0.673799i
$78$	−0.694219	+	12.8592i	−0.0786048	+	1.45601i
$79$	−3.00097	+	1.54711i	−0.337635	+	0.174063i	−0.618703	−	0.785625i	$-0.712342\pi$
$79$	−3.00097	+	1.54711i	−0.337635	+	0.174063i	0.281068	+	0.959688i	$0.409311\pi$
$80$	22.5767	−	9.03834i	2.52415	−	1.01052i
$81$	−8.10143	+	3.92006i	−0.900159	+	0.435562i
$82$	14.6837	+	28.4825i	1.62155	+	3.14536i
$83$	−7.76369	−	8.95978i	−0.852176	−	0.983463i	0.147809	−	0.989016i	$-0.452778\pi$
$83$	−7.76369	−	8.95978i	−0.852176	−	0.983463i	−0.999985	+	0.00555272i	$0.998233\pi$
$84$	−16.5512	−	14.6950i	−1.80589	−	1.60335i
$85$	12.2432	−	7.86825i	1.32797	−	0.853432i
$86$	−2.50828	−	2.63060i	−0.270474	−	0.283665i
$87$	−9.95997	+	6.99781i	−1.06782	+	0.750244i
$88$	25.8173	+	24.6167i	2.75213	+	2.62415i
$89$	−7.55431	−	10.6086i	−0.800756	−	1.12450i	−0.989790	−	0.142534i	$-0.954475\pi$
$89$	−7.55431	−	10.6086i	−0.800756	−	1.12450i	0.189034	−	0.981970i	$-0.439464\pi$
$90$	3.48662	+	19.4103i	0.367522	+	2.04603i
$91$	−1.02852	−	7.45647i	−0.107818	−	0.781651i
$92$	−16.0431	+	16.7081i	−1.67261	+	1.74194i
$93$	2.40857	+	8.39927i	0.249757	+	0.870964i
$94$	5.08357	+	6.46428i	0.524330	+	0.666740i
$95$	0.0727795	+	0.762181i	0.00746701	+	0.0781981i
$96$	−9.71233	−	15.3252i	−0.991261	−	1.56413i
$97$	6.34097	+	5.49448i	0.643828	+	0.557880i	0.914396	−	0.404821i	$-0.132666\pi$
$97$	6.34097	+	5.49448i	0.643828	+	0.557880i	−0.270568	+	0.962701i	$0.587212\pi$
$98$	15.7371	+	9.32781i	1.58969	+	0.942251i
$99$	−11.8925	+	8.24358i	−1.19524	+	0.828511i
$100$	6.38053	+	0.609267i	0.638053	+	0.0609267i
$101$	−0.695791	+	2.01036i	−0.0692338	+	0.200038i	−0.974310	−	0.225212i	$-0.927693\pi$
$101$	−0.695791	+	2.01036i	−0.0692338	+	0.200038i	0.905076	+	0.425250i	$0.139814\pi$
$102$	−17.9528	−	19.0687i	−1.77759	−	1.88808i
$103$	−1.64318	+	2.08948i	−0.161908	+	0.205882i	−0.860237	−	0.509894i	$-0.829685\pi$
$103$	−1.64318	+	2.08948i	−0.161908	+	0.205882i	0.698330	+	0.715776i	$0.253927\pi$
$104$	2.99436	−	20.8262i	0.293621	−	2.04218i
$105$	−4.15471	−	10.7521i	−0.405458	−	1.04929i
$106$	−3.11867	−	3.59913i	−0.302912	−	0.349579i
$107$	0.885695	−	9.27542i	0.0856234	−	0.896688i	−0.845981	−	0.533214i	$-0.820984\pi$
$107$	0.885695	−	9.27542i	0.0856234	−	0.896688i	0.931604	−	0.363475i	$-0.118410\pi$
$108$	23.4721	−	8.88316i	2.25861	−	0.854782i
$109$	−2.16544	−	8.92607i	−0.207412	−	0.854962i	−0.976447	−	0.215756i	$-0.930778\pi$
$109$	−2.16544	−	8.92607i	−0.207412	−	0.854962i	0.769036	−	0.639206i	$-0.220737\pi$
$110$	10.3705	+	29.9637i	0.988791	+	2.85692i
$111$	9.65704	+	5.05623i	0.916606	+	0.479916i
$112$	17.5454	+	18.6134i	1.65788	+	1.75880i
$113$	−5.35265	+	0.769595i	−0.503535	+	0.0723974i	−0.389402	−	0.921068i	$-0.627318\pi$
$113$	−5.35265	+	0.769595i	−0.503535	+	0.0723974i	−0.114133	+	0.993465i	$0.536409\pi$
$114$	1.32445	−	0.379798i	0.124046	−	0.0355713i
$115$	−11.4135	+	3.90559i	−1.06432	+	0.364199i
$116$	29.3960	−	16.9718i	2.72935	−	1.57579i
$117$	8.02948	+	2.89344i	0.742325	+	0.267499i
$118$	−13.7760	−	6.29130i	−1.26819	−	0.579161i
$119$	12.4184	+	8.95077i	1.13840	+	0.820516i
$120$	−2.85957	−	32.0938i	−0.261042	−	2.92975i
$121$	−8.87685	+	8.46406i	−0.806987	+	0.769460i
$122$	6.88553	+	3.54974i	0.623387	+	0.321378i
$123$	20.8791	−	3.88711i	1.88260	−	0.350489i
$124$	−4.61123	−	23.9253i	−0.414101	−	2.14856i
$125$	−7.77216	−	4.99486i	−0.695163	−	0.446754i
$126$	−17.6537	+	10.8918i	−1.57272	+	0.970315i
$127$	1.60629	−	11.1720i	0.142535	−	0.991353i	−0.785501	−	0.618861i	$-0.787594\pi$
$127$	1.60629	−	11.1720i	0.142535	−	0.991353i	0.928036	−	0.372492i	$-0.121496\pi$
$128$	0.0280454	+	0.0544005i	0.00247889	+	0.00480837i
$129$	−2.14812	+	1.09027i	−0.189131	+	0.0959926i
$130$	10.8481	−	15.2341i	0.951445	−	1.33612i
$131$	0.382523	+	8.03014i	0.0334212	+	0.701597i	0.951952	+	0.306247i	$0.0990735\pi$
$131$	0.382523	+	8.03014i	0.0334212	+	0.701597i	−0.918531	+	0.395350i	$0.870623\pi$
$132$	35.0719	−	19.9537i	3.05262	−	1.73674i
$133$	−0.717913	+	0.364920i	−0.0622510	+	0.0316426i
$134$	−9.29579	−	31.6585i	−0.803034	−	2.73488i
$135$	12.9851	+	1.48940i	1.11758	+	0.128188i
$136$	26.4512	+	33.6354i	2.26817	+	2.88421i
$137$	−5.20307	+	3.00399i	−0.444528	+	0.256649i	−0.705517	−	0.708693i	$-0.749285\pi$
$137$	−5.20307	+	3.00399i	−0.444528	+	0.256649i	0.260988	+	0.965342i	$0.415952\pi$
$138$	10.6689	+	18.9060i	0.908197	+	1.60939i
$139$			3.01212i			0.255485i	0.991807	+	0.127742i	$0.0407730\pi$
$139$			3.01212i			0.255485i	−0.991807	+	0.127742i	$0.959227\pi$
$140$	8.87895	+	30.8924i	0.750408	+	2.61088i
$141$	5.07263	−	1.99359i	0.427193	−	0.167891i
$142$	4.07253	−	16.7872i	0.341759	−	1.40875i
$143$	13.4745	+	2.59699i	1.12679	+	0.217171i
$144$	−27.9306	+	7.81822i	−2.32755	+	0.651519i
$145$	17.6575	−	0.841130i	1.46637	−	0.0698520i
$146$	1.72749	+	3.78268i	0.142968	+	0.313057i
$147$	8.92226	−	8.20935i	0.735895	−	0.677095i
$148$	−25.5715	−	16.4338i	−2.10196	−	1.35085i
$149$	1.95422	−	2.48500i	0.160096	−	0.203579i	−0.699387	−	0.714744i	$-0.746543\pi$
$149$	1.95422	−	2.48500i	0.160096	−	0.203579i	0.859483	+	0.511165i	$0.170786\pi$
$150$	2.26786	−	5.56246i	0.185170	−	0.454173i
$151$	−0.271833	+	5.70647i	−0.0221214	+	0.464386i	0.960444	+	0.278472i	$0.0898278\pi$
$151$	−0.271833	+	5.70647i	−0.0221214	+	0.464386i	−0.982566	+	0.185915i	$0.940475\pi$
$152$	−2.21047	+	0.426033i	−0.179293	+	0.0345558i
$153$	−15.5276	+	7.75763i	−1.25533	+	0.627168i
$154$	−25.3298	+	21.6956i	−2.04113	+	1.74828i
$155$	3.57502	−	12.1754i	0.287153	−	0.977953i
$156$	−21.5861	−	10.0238i	−1.72827	−	0.802543i
$157$	5.40358	−	5.66711i	0.431253	−	0.452285i	−0.471870	−	0.881668i	$-0.656421\pi$
$157$	5.40358	−	5.66711i	0.431253	−	0.452285i	0.903122	+	0.429384i	$0.141269\pi$
$158$	−0.838738	−	8.78367i	−0.0667264	−	0.698791i
$159$	−2.87929	+	1.29295i	−0.228342	+	0.102538i
$160$			26.3491i			2.08308i
$161$	−8.22042	−	9.66565i	−0.647860	−	0.761760i
$162$	−1.64189	−	23.4633i	−0.128999	−	1.84345i
$163$	5.14324	+	2.05904i	0.402849	+	0.161277i	0.564234	−	0.825615i	$-0.309172\pi$
$163$	5.14324	+	2.05904i	0.402849	+	0.161277i	−0.161384	+	0.986892i	$0.551596\pi$
$164$	−58.9543	+	5.62945i	−4.60356	+	0.439586i
$165$	20.9965	−	0.866928i	1.63457	−	0.0674903i
$166$	29.2791	−	10.1336i	2.27250	−	0.786521i
$167$	−4.22787	−	1.24142i	−0.327163	−	0.0960637i	0.114027	−	0.993478i	$-0.463625\pi$
$167$	−4.22787	−	1.24142i	−0.327163	−	0.0960637i	−0.441189	+	0.897414i	$0.645443\pi$
$168$	30.3088	−	15.1653i	2.33837	−	1.17003i
$169$	2.03810	+	4.46281i	0.156777	+	0.343293i
$170$	7.19805	+	37.3470i	0.552065	+	2.86439i
$171$	0.0115679	−	0.913092i	0.000884618	−	0.0698259i
$172$	6.23630	−	2.49664i	0.475513	−	0.190367i
$173$	7.82892	+	6.15673i	0.595222	+	0.468087i	0.869751	−	0.493491i	$-0.164280\pi$
$173$	7.82892	+	6.15673i	0.595222	+	0.468087i	−0.274529	+	0.961579i	$0.588522\pi$
$174$	−7.30394	−	30.9619i	−0.553710	−	2.34722i
$175$	−0.684211	+	3.44376i	−0.0517215	+	0.260324i
$176$	−42.4189	+	19.3721i	−3.19745	+	1.46022i
$177$	−6.62087	+	7.54381i	−0.497655	+	0.567027i
$178$	33.0760	−	8.02416i	2.47915	−	0.601436i
$179$	3.12232	−	16.2001i	0.233373	−	1.21086i	−0.656386	−	0.754425i	$-0.727916\pi$
$179$	3.12232	−	16.2001i	0.233373	−	1.21086i	0.889759	−	0.456430i	$-0.150872\pi$
$180$	−35.6979	−	7.35041i	−2.66077	−	0.547867i
$181$	1.41949	+	0.648259i	0.105510	+	0.0481847i	0.467471	−	0.884009i	$-0.345165\pi$
$181$	1.41949	+	0.648259i	0.105510	+	0.0481847i	−0.361961	+	0.932193i	$0.617893\pi$
$182$	19.0899	+	4.74710i	1.41504	+	0.351879i
$183$	3.56645	−	3.69326i	0.263639	−	0.273013i
$184$	−14.6211	−	32.3145i	−1.07788	−	2.38225i
$185$	−7.91521	−	13.7095i	−0.581938	−	1.00795i
$186$	−22.7178	−	2.31458i	−1.66575	−	0.169714i
$187$	−22.7329	+	16.1880i	−1.66239	+	1.18379i
$188$	−14.5828	+	4.28189i	−1.06356	+	0.312289i
$189$	3.54582	+	13.2826i	0.257920	+	0.966166i
$190$	−1.91990	−	0.563732i	−0.139284	−	0.0408974i
$191$	−23.7508	+	1.13139i	−1.71855	+	0.0818646i	−0.883536	−	0.468364i	$-0.844844\pi$
$191$	−23.7508	+	1.13139i	−1.71855	+	0.0818646i	−0.835014	+	0.550229i	$0.814541\pi$
$192$	13.6904	−	2.54878i	0.988020	−	0.183942i
$193$	3.36788	−	9.73084i	0.242425	−	0.700441i	−0.756496	−	0.653999i	$-0.773090\pi$
$193$	3.36788	−	9.73084i	0.242425	−	0.700441i	0.998921	−	0.0464429i	$-0.0147886\pi$
$194$	−19.4897	+	10.0477i	−1.39928	+	0.721380i
$195$	−7.60008	−	9.79129i	−0.544253	−	0.701169i
$196$	−26.8135	+	20.5937i	−1.91525	+	1.47098i
$197$	−4.44237	+	6.91247i	−0.316506	+	0.492493i	−0.962660	−	0.270714i	$-0.912740\pi$
$197$	−4.44237	+	6.91247i	−0.316506	+	0.492493i	0.646154	+	0.763207i	$0.276376\pi$
$198$	−8.44934	−	36.8606i	−0.600469	−	2.61957i
$199$	−8.09527	−	5.76462i	−0.573859	−	0.408643i	0.255951	−	0.966690i	$-0.417612\pi$
$199$	−8.09527	−	5.76462i	−0.573859	−	0.408643i	−0.829809	+	0.558047i	$0.811551\pi$
$200$	−4.49725	+	8.72345i	−0.318004	+	0.616841i
$201$	−21.8673	−	0.138512i	−1.54240	−	0.00976985i
$202$	−4.20171	−	3.64080i	−0.295631	−	0.256166i
$203$	7.62716	+	16.9575i	0.535322	+	1.19018i
$204$	45.0482	−	17.7043i	3.15401	−	1.23955i
$205$	−28.6332	−	11.4630i	−1.99983	−	0.800612i
$206$	−3.47346	−	6.01621i	−0.242008	−	0.419169i
$207$	14.0349	−	3.16550i	0.975496	−	0.220017i
$208$	23.8203	+	13.7526i	1.65164	+	0.953574i
$209$	−0.208946	−	1.45325i	−0.0144531	−	0.100523i
$210$	30.1221	+	0.363349i	2.07863	+	0.0250734i
$211$	−20.7012	+	6.07842i	−1.42513	+	0.418456i	−0.901236	−	0.433329i	$-0.857339\pi$
$211$	−20.7012	+	6.07842i	−1.42513	+	0.418456i	−0.523893	+	0.851784i	$0.675521\pi$
$212$	8.31730	−	2.87865i	0.571235	−	0.197706i
$213$	−9.87826	−	5.78695i	−0.676847	−	0.396515i
$214$	21.6438	+	11.1581i	1.47954	+	0.762754i
$215$	3.48257	+	0.332545i	0.237509	+	0.0226794i
$216$	−0.730196	+	38.4220i	−0.0496835	+	2.61429i
$217$	13.2938	−	1.19261i	0.902442	−	0.0809595i
$218$	23.7598	+	3.41614i	1.60921	+	0.231370i
$219$	2.73043	−	0.374940i	0.184505	−	0.0253361i
$220$	−58.5330	−	2.78827i	−3.94629	−	0.187985i
$221$	15.5553	+	5.38373i	1.04636	+	0.362149i
$222$	−21.6474	+	18.5188i	−1.45288	+	1.24290i
$223$	10.8171	+	16.8317i	0.724363	+	1.12713i	0.986762	+	0.162172i	$0.0518500\pi$
$223$	10.8171	+	16.8317i	0.724363	+	1.12713i	−0.262399	+	0.964959i	$0.584514\pi$
$224$	−25.7882	+	10.1530i	−1.72305	+	0.678379i
$225$	−3.09799	−	2.50045i	−0.206533	−	0.166697i
$226$	3.33186	−	13.7341i	0.221632	−	0.913581i
$227$	22.6088	−	2.15888i	1.50060	−	0.143290i	0.687827	−	0.725875i	$-0.258565\pi$
$227$	22.6088	−	2.15888i	1.50060	−	0.143290i	0.812770	+	0.582585i	$0.197959\pi$
$228$	−0.258101	+	2.53328i	−0.0170932	+	0.167771i
$229$	4.00987	+	2.31510i	0.264979	+	0.152986i	0.626604	−	0.779338i	$-0.284444\pi$
$229$	4.00987	+	2.31510i	0.264979	+	0.152986i	−0.361624	+	0.932324i	$0.617778\pi$
$230$	1.61026	−	31.4851i	0.106177	−	2.07606i
$231$	8.93902	+	20.2155i	0.588144	+	1.33008i
$232$	7.39685	+	51.4462i	0.485627	+	3.37761i
$233$	−16.4542	+	11.7170i	−1.07795	+	0.767606i	−0.973903	−	0.226966i	$-0.927119\pi$
$233$	−16.4542	+	11.7170i	−1.07795	+	0.767606i	−0.104050	+	0.994572i	$0.533180\pi$
$234$	−14.8191	+	16.6707i	−0.968757	+	1.08980i
$235$	−7.77217	−	1.49796i	−0.507001	−	0.0977164i
$236$	20.2566	−	19.3147i	1.31859	−	1.25728i
$237$	−5.73510	−	1.14307i	−0.372535	−	0.0742506i
$238$	−33.7785	+	21.4357i	−2.18953	+	1.38947i
$239$	14.9777	−	12.9782i	0.968824	−	0.839491i	−0.0182372	−	0.999834i	$-0.505805\pi$
$239$	14.9777	−	12.9782i	0.968824	−	0.839491i	0.987061	+	0.160343i	$0.0512599\pi$
$240$	40.3390	+	12.1227i	2.60387	+	0.782515i
$241$	1.35500	+	3.38462i	0.0872831	+	0.218023i	0.965587	−	0.260080i	$-0.0837490\pi$
$241$	1.35500	+	3.38462i	0.0872831	+	0.218023i	−0.878304	+	0.478103i	$0.841325\pi$
$242$	−11.9134	−	29.7582i	−0.765822	−	1.91293i
$243$	−15.2057	−	3.43335i	−0.975444	−	0.220249i
$244$	−10.8199	+	9.37553i	−0.692675	+	0.600206i
$245$	−17.3264	+	3.13398i	−1.10694	+	0.200222i
$246$	−10.8490	+	54.4324i	−0.691708	+	3.47048i
$247$	−0.626735	+	0.597591i	−0.0398782	+	0.0380238i
$248$	36.6351	+	7.06084i	2.32633	+	0.448364i
$249$	−0.847123	−	20.5168i	−0.0536843	−	1.30020i
$250$	19.6677	−	14.0053i	1.24389	−	0.885773i
$251$	2.79967	+	19.4721i	0.176713	+	1.22907i	0.864304	+	0.502970i	$0.167759\pi$
$251$	2.79967	+	19.4721i	0.176713	+	1.22907i	−0.687590	+	0.726099i	$0.741331\pi$
$252$	−6.56147	−	37.7704i	−0.413334	−	2.37931i
$253$	21.5052	−	8.52221i	1.35202	−	0.535787i
$254$	25.5453	+	14.7486i	1.60285	+	0.925408i
$255$	25.0777	+	2.55502i	1.57043	+	0.160002i
$256$	15.8479	−	1.51329i	0.990494	−	0.0945807i
$257$	−0.614088	+	2.53130i	−0.0383057	+	0.157898i	−0.987752	−	0.156030i	$-0.950130\pi$
$257$	−0.614088	+	2.53130i	−0.0383057	+	0.157898i	0.949447	+	0.313929i	$0.101645\pi$
$258$	−0.558726	−	6.27076i	−0.0347848	−	0.390400i
$259$	10.3678	−	13.0294i	0.644221	−	0.809607i
$260$	18.6863	+	29.0765i	1.15888	+	1.80325i
$261$	−21.0452	−	1.26989i	−1.30266	−	0.0786042i
$262$	−19.8543	−	6.87164i	−1.22660	−	0.424531i
$263$	−1.08981	−	0.0519142i	−0.0672008	−	0.00320117i	0.0139546	−	0.999903i	$-0.495558\pi$
$263$	−1.08981	−	0.0519142i	−0.0672008	−	0.00320117i	−0.0811554	+	0.996701i	$0.525861\pi$
$264$	8.40555	+	61.2118i	0.517326	+	3.76733i
$265$	4.53702	+	0.652325i	0.278707	+	0.0400720i
$266$	−0.188058	−	2.09625i	−0.0115306	−	0.128529i
$267$	1.21601	−	22.5244i	0.0744186	−	1.37847i
$268$	60.7028	+	5.79641i	3.70801	+	0.354072i
$269$	−12.3378	−	6.36060i	−0.752251	−	0.387812i	0.0390515	−	0.999237i	$-0.487566\pi$
$269$	−12.3378	−	6.36060i	−0.752251	−	0.387812i	−0.791302	+	0.611425i	$0.790597\pi$
$270$	−16.2261	+	30.0578i	−0.987487	+	1.82926i
$271$	−5.51307	+	1.90809i	−0.334895	+	0.115908i	−0.489340	−	0.872093i	$-0.662762\pi$
$271$	−5.51307	+	1.90809i	−0.334895	+	0.115908i	0.154445	+	0.988001i	$0.450641\pi$
$272$	−53.6722	+	15.7596i	−3.25435	+	0.955565i
$273$	6.65434	−	11.2112i	0.402739	−	0.678530i
$274$	−2.23453	−	15.5415i	−0.134993	−	0.938896i
$275$	−5.54340	−	3.20048i	−0.334280	−	0.192996i
$276$	−39.7659	+	5.31892i	−2.39363	+	0.320161i
$277$	−15.1004	−	26.1546i	−0.907294	−	1.57148i	−0.817808	−	0.575491i	$-0.804811\pi$
$277$	−15.1004	−	26.1546i	−0.907294	−	1.57148i	−0.0894853	−	0.995988i	$-0.528522\pi$
$278$	−7.30801	−	2.92569i	−0.438305	−	0.175471i
$279$	−5.80239	+	13.9778i	−0.347380	+	0.836830i
$280$	−48.9678	−	4.95905i	−2.92639	−	0.296360i
$281$	−23.0086	−	19.9371i	−1.37258	−	1.18935i	−0.960528	−	0.278184i	$-0.910267\pi$
$281$	−23.0086	−	19.9371i	−1.37258	−	1.18935i	−0.412050	−	0.911161i	$-0.635187\pi$
$282$	−0.0902219	+	14.2436i	−0.00537264	+	0.848195i
$283$	−2.67262	+	5.18416i	−0.158871	+	0.308167i	−0.954814	−	0.297205i	$-0.903945\pi$
$283$	−2.67262	+	5.18416i	−0.158871	+	0.308167i	0.795943	+	0.605372i	$0.206976\pi$
$284$	26.0051	+	18.5181i	1.54312	+	1.09885i
$285$	−0.724018	+	1.11106i	−0.0428871	+	0.0658133i
$286$	−19.3886	+	30.1693i	−1.14647	+	1.78395i
$287$	0.185817	−	32.4408i	0.0109684	−	1.91492i
$288$	3.38326	−	31.2431i	0.199361	−	1.84102i
$289$	−14.6447	+	7.54986i	−0.861452	+	0.444109i
$290$	−15.1101	+	43.6576i	−0.887293	+	2.56366i
$291$	2.65984	+	14.2870i	0.155923	+	0.837516i
$292$	−7.67665	+	0.365684i	−0.449242	+	0.0214000i
$293$	−7.24943	−	2.12862i	−0.423516	−	0.124356i	0.0630276	−	0.998012i	$-0.479924\pi$
$293$	−7.24943	−	2.12862i	−0.423516	−	0.124356i	−0.486544	+	0.873656i	$0.661743\pi$
$294$	11.2513	+	29.6210i	0.656189	+	1.72753i
$295$	13.9860	−	4.10666i	0.814297	−	0.239099i
$296$	37.9140	−	26.9984i	2.20370	−	1.56925i
$297$	−25.0076	−	1.66803i	−1.45109	−	0.0967890i
$298$	4.13096	+	7.15503i	0.239300	+	0.414480i
$299$	−11.4522	−	7.41661i	−0.662296	−	0.428914i
$300$	7.98597	+	7.71177i	0.461070	+	0.445239i
$301$	1.01647	+	3.53658i	0.0585881	+	0.203845i
$302$	−13.5810	−	6.20225i	−0.781500	−	0.356899i
$303$	−3.11232	+	1.97242i	−0.178798	+	0.113313i
$304$	0.556937	−	2.88966i	0.0319425	−	0.165734i
$305$	−7.24590	+	1.75784i	−0.414899	+	0.100653i
$306$	−3.73958	−	45.2081i	−0.213778	−	2.58437i
$307$	−20.1810	+	9.21634i	−1.15179	+	0.526004i	−0.897452	−	0.441111i	$-0.854584\pi$
$307$	−20.1810	+	9.21634i	−1.15179	+	0.526004i	−0.254336	+	0.967116i	$0.581857\pi$
$308$	−19.8255	−	58.3615i	−1.12966	−	3.32545i
$309$	−4.48112	+	1.05710i	−0.254922	+	0.0601363i
$310$	26.0676	+	20.4998i	1.48054	+	1.16431i
$311$	5.80754	−	2.32499i	0.329316	−	0.131838i	−0.201112	−	0.979568i	$-0.564456\pi$
$311$	5.80754	−	2.32499i	0.329316	−	0.131838i	0.530428	+	0.847730i	$0.322031\pi$
$312$	26.5338	−	24.9810i	1.50218	−	1.41427i
$313$	−1.81671	−	9.42597i	−0.102686	−	0.532787i	−0.996445	−	0.0842400i	$-0.973154\pi$
$313$	−1.81671	−	9.42597i	−0.102686	−	0.532787i	0.893759	−	0.448547i	$-0.148058\pi$
$314$	8.50104	+	18.6147i	0.479741	+	1.05049i
$315$	5.97625	−	19.0497i	0.336723	−	1.07333i
$316$	15.6466	+	4.59425i	0.880188	+	0.258446i
$317$	8.36523	−	2.89523i	0.469838	−	0.162613i	−0.0818817	−	0.996642i	$-0.526093\pi$
$317$	8.36523	−	2.89523i	0.469838	−	0.162613i	0.551720	+	0.834029i	$0.313972\pi$
$318$	−0.340288	−	8.24158i	−0.0190824	−	0.462165i
$319$	−33.7446	+	3.22222i	−1.88933	+	0.180409i
$320$	−18.7748	−	7.51630i	−1.04954	−	0.420174i
$321$	11.2106	−	11.6093i	0.625717	−	0.647965i
$322$	31.4353	−	10.5561i	1.75182	−	0.588269i
$323$		−	1.76115i		−	0.0979931i
$324$	41.3846	+	13.2993i	2.29914	+	0.738852i
$325$	0.358879	+	3.75835i	0.0199070	+	0.208476i
$326$	−9.99130	+	10.4786i	−0.553367	+	0.580355i
$327$	6.70030	−	14.4290i	0.370528	−	0.797928i
$328$	25.5483	−	87.0097i	1.41067	−	4.80430i
$329$	−1.52876	−	8.18394i	−0.0842833	−	0.451195i
$330$	−18.2906	+	51.7838i	−1.00687	+	2.85060i
$331$	22.9539	−	4.42400i	1.26166	−	0.243165i	0.485799	−	0.874071i	$-0.338529\pi$
$331$	22.9539	−	4.42400i	1.26166	−	0.243165i	0.775859	+	0.630906i	$0.217317\pi$
$332$	−2.72457	+	57.1958i	−0.149530	+	3.13903i
$333$	7.62503	+	17.2722i	0.417849	+	0.946513i
$334$	7.11848	−	9.05189i	0.389506	−	0.495297i
$335$	26.7159	+	17.1693i	1.45965	+	0.938058i
$336$	3.67915	+	44.1516i	0.200714	+	2.40867i
$337$	−9.31201	−	20.3905i	−0.507258	−	1.11074i	−0.974042	−	0.226368i	$-0.927315\pi$
$337$	−9.31201	−	20.3905i	−0.507258	−	1.11074i	0.466784	−	0.884371i	$-0.345412\pi$
$338$	−12.8073	+	0.610086i	−0.696625	+	0.0331843i
$339$	−8.08172	−	4.73449i	−0.438939	−	0.257142i
$340$	−69.0219	−	13.3029i	−3.74324	−	0.721450i
$341$	−5.73672	+	23.6471i	−0.310661	+	1.28056i
$342$	2.20411	+	0.914957i	0.119185	+	0.0494752i
$343$	−9.74362	−	15.7500i	−0.526106	−	0.850419i
$344$			10.2860i			0.554583i
$345$	−19.6769	−	7.02764i	−1.05937	−	0.378356i
$346$	−22.5417	+	13.0145i	−1.21185	+	0.699663i
$347$	13.7617	+	17.4994i	0.738765	+	0.939416i	0.999663	−	0.0259500i	$-0.00826107\pi$
$347$	13.7617	+	17.4994i	0.738765	+	0.939416i	−0.260898	+	0.965366i	$0.584019\pi$
$348$	58.1394	+	8.73540i	3.11660	+	0.468267i
$349$	0.596873	+	2.03276i	0.0319499	+	0.108811i	0.973924	−	0.226874i	$-0.0728504\pi$
$349$	0.596873	+	2.03276i	0.0319499	+	0.108811i	−0.941974	+	0.335685i	$0.891032\pi$
$350$	−7.69068	−	5.00498i	−0.411084	−	0.267527i
$351$	7.75448	+	12.5858i	0.413904	+	0.671778i
$352$	−2.40415	−	50.4693i	−0.128142	−	2.69002i
$353$	6.72540	−	9.44450i	0.357957	−	0.502680i	−0.595852	−	0.803094i	$-0.703186\pi$
$353$	6.72540	−	9.44450i	0.357957	−	0.502680i	0.953809	+	0.300414i	$0.0971249\pi$
$354$	−11.8719	−	23.3909i	−0.630986	−	1.24321i
$355$	7.61852	+	14.7779i	0.404349	+	0.784327i
$356$	−8.95183	+	62.2613i	−0.474446	+	3.29984i
$357$	7.16251	+	25.5284i	0.379080	+	1.35111i
$358$	36.2721	+	23.3107i	1.91704	+	1.23201i
$359$	−2.32110	−	12.0430i	−0.122503	−	0.635605i	−0.990329	−	0.138738i	$-0.955696\pi$
$359$	−2.32110	−	12.0430i	−0.122503	−	0.635605i	0.867826	−	0.496868i	$-0.165517\pi$
$360$	30.7646	−	46.5629i	1.62143	−	2.45408i
$361$	−16.8055	−	8.66385i	−0.884501	−	0.455992i
$362$	−2.95156	+	2.81431i	−0.155131	+	0.147917i
$363$	−21.1604	+	1.88540i	−1.11063	+	0.0989577i
$364$	−21.2572	+	29.4926i	−1.11418	+	1.54583i
$365$	−3.64077	−	1.66269i	−0.190567	−	0.0870289i
$366$	5.49648	+	12.2402i	0.287306	+	0.639805i
$367$	5.28191	−	3.04951i	0.275714	−	0.159183i	−0.355768	−	0.934574i	$-0.615781\pi$
$367$	5.28191	−	3.04951i	0.275714	−	0.159183i	0.631481	+	0.775391i	$0.282447\pi$
$368$	46.3213	−	2.04413i	2.41466	−	0.106558i
$369$	32.4796	+	17.2687i	1.69082	+	0.898972i
$370$	40.9502	−	5.88775i	2.12890	−	0.306089i
$371$	1.10980	+	4.69181i	0.0576181	+	0.243586i
$372$	19.5755	−	37.3879i	1.01494	−	1.93847i
$373$	−3.98882	−	11.5249i	−0.206533	−	0.596738i	0.793395	−	0.608707i	$-0.208311\pi$
$373$	−3.98882	−	11.5249i	−0.206533	−	0.596738i	−0.999928	+	0.0119684i	$0.996190\pi$
$374$	−17.1948	−	70.8781i	−0.889124	−	3.66502i
$375$	−5.13787	−	15.1548i	−0.265318	−	0.782590i
$376$	2.21217	−	23.1668i	0.114084	−	1.19474i
$377$	13.0932	+	15.1104i	0.674335	+	0.778224i
$378$	−35.6703	−	4.29857i	−1.83468	−	0.221094i
$379$	−0.469013	+	3.26206i	−0.0240916	+	0.167561i	−0.998315	−	0.0580237i	$-0.981520\pi$
$379$	−0.469013	+	3.26206i	−0.0240916	+	0.167561i	0.974224	+	0.225585i	$0.0724292\pi$
$380$	2.28595	−	2.90682i	0.117267	−	0.149117i
$381$	14.2337	−	13.4008i	0.729217	−	0.686541i
$382$	20.3243	−	58.7232i	1.03988	−	3.00454i
$383$	−31.9732	−	3.05307i	−1.63375	−	0.156005i	−0.762551	−	0.646928i	$-0.776053\pi$
$383$	−31.9732	−	3.05307i	−1.63375	−	0.156005i	−0.871203	+	0.490924i	$0.836659\pi$
$384$	−0.0207212	+	0.103964i	−0.00105743	+	0.00530539i
$385$	4.75022	−	31.7466i	0.242094	−	1.61795i
$386$	20.3378	+	17.6228i	1.03516	+	0.896975i
$387$	−4.08671	−	0.841478i	−0.207739	−	0.0427747i
$388$	−3.85208	−	40.3408i	−0.195560	−	2.04799i
$389$	−7.35681	−	9.35495i	−0.373005	−	0.474315i	0.562921	−	0.826511i	$-0.309677\pi$
$389$	−7.35681	−	9.35495i	−0.373005	−	0.474315i	−0.935926	+	0.352196i	$0.885435\pi$
$390$	31.1376	−	8.92900i	1.57672	−	0.452137i
$391$	26.9886	−	6.44745i	1.36487	−	0.326062i
$392$	−14.0152	−	49.8363i	−0.707874	−	2.51712i
$393$	−8.14862	+	11.2911i	−0.411044	+	0.569560i
$394$	−12.4561	−	17.4922i	−0.627531	−	0.881245i
$395$	6.14639	+	5.86057i	0.309258	+	0.294877i
$396$	69.0468	+	10.8219i	3.46973	+	0.543820i
$397$	20.5278	+	21.5290i	1.03026	+	1.08051i	0.996708	+	0.0810708i	$0.0258340\pi$
$397$	20.5278	+	21.5290i	1.03026	+	1.08051i	0.0335537	+	0.999437i	$0.489318\pi$
$398$	21.8491	−	14.0416i	1.09520	−	0.703840i
$399$	−1.36639	−	0.280485i	−0.0684052	−	0.0140418i
$400$	−8.40193	−	9.69634i	−0.420096	−	0.484817i
$401$	−2.40591	−	4.66681i	−0.120145	−	0.233049i	0.821092	−	0.570796i	$-0.193365\pi$
$401$	−2.40591	−	4.66681i	−0.120145	−	0.233049i	−0.941237	+	0.337747i	$0.890335\pi$
$402$	21.5758	−	52.9198i	1.07610	−	2.63940i
$403$	13.3241	−	5.33417i	0.663721	−	0.265714i
$404$	9.13271	−	4.70824i	0.454369	−	0.234244i
$405$	15.9831	+	16.0323i	0.794205	+	0.796649i
$406$	−48.5507	+	2.03411i	−2.40953	+	0.100951i
$407$	16.4117	+	25.5372i	0.813500	+	1.26583i
$408$	−0.469449	+	74.1134i	−0.0232412	+	3.66916i
$409$	−4.14247	+	21.4932i	−0.204832	+	1.06277i	0.723305	+	0.690529i	$0.242622\pi$
$409$	−4.14247	+	21.4932i	−0.204832	+	1.06277i	−0.928137	+	0.372239i	$0.878590\pi$
$410$	55.6232	−	58.3359i	2.74703	−	2.88101i
$411$	−10.2906	−	1.54616i	−0.507600	−	0.0762665i
$412$	12.7081	−	1.82714i	0.626082	−	0.0900170i
$413$	9.40846	+	12.1059i	0.462960	+	0.595692i
$414$	−5.95207	+	37.1263i	−0.292528	+	1.82466i
$415$	−14.9104	+	25.8256i	−0.731924	+	1.26773i
$416$	−23.4257	+	18.4222i	−1.14854	+	0.903223i
$417$	−3.25093	+	4.08044i	−0.159199	+	0.199820i
$418$	3.72882	+	0.904603i	0.182383	+	0.0442456i
$419$	20.1785	−	23.2873i	0.985787	−	1.13766i	−0.00469165	−	0.999989i	$-0.501493\pi$
$419$	20.1785	−	23.2873i	0.985787	−	1.13766i	0.990478	−	0.137669i	$-0.0439611\pi$
$420$	−21.3136	+	51.4321i	−1.04000	+	2.50963i
$421$	−23.9775	+	15.4094i	−1.16859	+	0.751008i	−0.973255	−	0.229728i	$-0.926216\pi$
$421$	−23.9775	+	15.4094i	−1.16859	+	0.751008i	−0.195337	+	0.980736i	$0.562580\pi$
$422$	5.35970	−	56.1293i	0.260906	−	2.73233i
$423$	9.02342	+	2.77415i	0.438734	+	0.134884i
$424$	−0.641256	+	13.4616i	−0.0311421	+	0.653754i
$425$	−6.03547	−	4.74635i	−0.292763	−	0.230232i
$426$	23.6351	−	18.3458i	1.14513	−	0.888855i
$427$	−4.51247	−	6.41432i	−0.218374	−	0.310411i
$428$	−34.0110	+	29.4707i	−1.64398	+	1.42452i
$429$	15.4506	+	18.0609i	0.745964	+	0.871987i
$430$	−4.18946	+	8.12641i	−0.202033	+	0.391890i
$431$	−15.7754	+	3.82707i	−0.759874	+	0.184343i	−0.596932	−	0.802292i	$-0.703614\pi$
$431$	−15.7754	+	3.82707i	−0.759874	+	0.184343i	−0.162942	+	0.986636i	$0.552098\pi$
$432$	−46.2749	−	19.5539i	−2.22640	−	0.940787i
$433$	−5.34487	−	18.2030i	−0.256858	−	0.874778i	−0.982430	−	0.186632i	$-0.940243\pi$
$433$	−5.34487	−	18.2030i	−0.256858	−	0.874778i	0.725572	−	0.688146i	$-0.241575\pi$
$434$	−10.0188	+	33.4118i	−0.480919	+	1.60382i
$435$	24.8280	+	17.9180i	1.19041	+	0.859103i
$436$	−22.1812	+	38.4190i	−1.06229	+	1.83994i
$437$	−0.349122	+	1.41743i	−0.0167008	+	0.0678050i
$438$	−1.74240	+	6.98876i	−0.0832551	+	0.333936i
$439$	10.7532	−	26.8602i	0.513222	−	1.28197i	−0.414960	−	0.909840i	$-0.636204\pi$
$439$	10.7532	−	26.8602i	0.513222	−	1.28197i	0.928182	−	0.372127i	$-0.121371\pi$
$440$	37.2747	−	81.6202i	1.77700	−	3.89109i
$441$	20.9470	−	1.49134i	0.997475	−	0.0710161i
$442$	−28.1709	+	32.5110i	−1.33995	+	1.54639i
$443$	22.4662	+	23.5619i	1.06740	+	1.11946i	0.992497	+	0.122270i	$0.0390173\pi$
$443$	22.4662	+	23.5619i	1.06740	+	1.11946i	0.0749065	+	0.997191i	$0.476134\pi$
$444$	−16.9043	−	49.8613i	−0.802241	−	2.36631i
$445$	−19.0019	+	26.6844i	−0.900774	+	1.26496i
$446$	−51.3437	+	9.89568i	−2.43119	+	0.468574i
$447$	5.32936	−	1.25720i	0.252070	−	0.0594635i
$448$	0.121840	−	21.2714i	0.00575640	−	1.00498i
$449$	7.16315	+	1.02991i	0.338050	+	0.0486042i	0.309249	−	0.950981i	$-0.399922\pi$
$449$	7.16315	+	1.02991i	0.338050	+	0.0486042i	0.0288004	+	0.999585i	$0.490831\pi$
$450$	9.07569	−	5.08766i	0.427832	−	0.239835i
$451$	55.8903	+	19.3438i	2.63177	+	0.910865i
$452$	21.2756	+	15.1503i	1.00072	+	0.712608i
$453$	−6.52716	+	7.43703i	−0.306673	+	0.349422i
$454$	−16.7221	+	56.9504i	−0.784809	+	2.67281i
$455$	−16.8780	+	8.57922i	−0.791254	+	0.402200i
$456$	−3.45428	−	1.80859i	−0.161761	−	0.0846950i
$457$	17.5779	+	24.6847i	0.822259	+	1.15470i	0.985760	+	0.168158i	$0.0537820\pi$
$457$	17.5779	+	24.6847i	0.822259	+	1.15470i	−0.163501	+	0.986543i	$0.552279\pi$
$458$	−9.51169	+	7.48008i	−0.444452	+	0.349521i
$459$	−29.4075	−	6.24960i	−1.37262	−	0.291706i
$460$	52.9140	+	24.3891i	2.46713	+	1.13715i
$461$	−24.1406			−1.12434			−0.562170	−	0.827022i	$-0.690033\pi$
$461$	−24.1406			−1.12434			−0.562170	+	0.827022i	$0.690033\pi$
$462$	−57.7294	+	2.05245i	−2.68581	+	0.0954886i
$463$	−4.80059	+	10.5118i	−0.223102	+	0.488526i	−0.987774	−	0.155894i	$-0.950174\pi$
$463$	−4.80059	+	10.5118i	−0.223102	+	0.488526i	0.764671	+	0.644420i	$0.222901\pi$
$464$	−66.0300	−	16.0187i	−3.06537	−	0.743650i
$465$	17.9837	−	12.6353i	0.833976	−	0.585946i
$466$	−12.4457	−	51.3021i	−0.576538	−	2.37652i
$467$	1.26940	+	26.6480i	0.0587409	+	1.23312i	0.815238	+	0.579126i	$0.196606\pi$
$467$	1.26940	+	26.6480i	0.0587409	+	1.23312i	−0.756497	+	0.653997i	$0.773091\pi$
$468$	−18.4236	−	36.8765i	−0.851632	−	1.70462i
$469$	−6.50941	+	32.7631i	−0.300577	+	1.51286i
$470$	11.1835	−	17.4019i	0.515857	−	0.802689i
$471$	13.4365	−	1.84509i	0.619122	−	0.0850173i
$472$	15.9285	+	39.7876i	0.733171	+	1.83137i
$473$	−6.70088	−	0.319202i	−0.308107	−	0.0146769i
$474$	8.34386	−	12.8042i	0.383246	−	0.588119i
$475$	0.367438	−	0.167804i	0.0168592	−	0.00769935i
$476$	−13.5764	−	72.6786i	−0.622272	−	3.33122i
$477$	−5.29596	−	1.35605i	−0.242485	−	0.0620892i
$478$	16.9399	+	48.9446i	0.774813	+	2.23868i
$479$	−20.3431	−	19.3971i	−0.929498	−	0.886275i	0.0642484	−	0.997934i	$-0.479535\pi$
$479$	−20.3431	−	19.3971i	−0.929498	−	0.886275i	−0.993747	+	0.111659i	$0.964383\pi$
$480$	−28.4382	+	35.6944i	−1.29802	+	1.62922i
$481$	6.65452	−	16.6222i	0.303420	−	0.757907i
$482$	−9.52789			−0.433983
$483$	−0.704006	−	21.9660i	−0.0320334	−	0.999487i
$484$	59.2403			2.69274
$485$	7.84382	−	19.5929i	0.356169	−	0.889668i
$486$	23.0993	−	33.5572i	1.04781	−	1.52218i
$487$	17.9049	+	17.0723i	0.811347	+	0.773618i	0.977152	−	0.212540i	$-0.0681737\pi$
$487$	17.9049	+	17.0723i	0.811347	+	0.773618i	−0.165805	+	0.986159i	$0.553022\pi$
$488$	−7.17008	−	20.7166i	−0.324574	−	0.937795i
$489$	4.74512	+	8.34035i	0.214582	+	0.377164i
$490$	9.22555	−	45.0814i	0.416768	−	2.03657i
$491$	−5.35419	+	2.44518i	−0.241631	+	0.110349i	−0.532550	−	0.846398i	$-0.678766\pi$
$491$	−5.35419	+	2.44518i	−0.241631	+	0.110349i	0.290919	+	0.956748i	$0.406039\pi$
$492$	−85.9397	−	56.0024i	−3.87446	−	2.52478i
$493$	−40.6159	−	1.93478i	−1.82925	−	0.0871379i
$494$	−0.841125	−	2.10103i	−0.0378440	−	0.0945298i
$495$	29.3791	+	21.4868i	1.32049	+	0.965759i
$496$	−26.3687	+	41.0305i	−1.18399	+	1.84232i
$497$	−11.5277	+	13.1507i	−0.517086	+	0.589888i
$498$	50.6008	+	17.8728i	2.26747	+	0.800899i
$499$	−1.43131	−	30.0468i	−0.0640741	−	1.34508i	−0.770566	−	0.637360i	$-0.780026\pi$
$499$	−1.43131	−	30.0468i	−0.0640741	−	1.34508i	0.706492	−	0.707721i	$-0.250277\pi$
$500$	10.5201	+	43.3645i	0.470473	+	1.93932i
$501$	−4.38755	−	6.24480i	−0.196021	−	0.278997i
$502$	−49.9626	−	12.1208i	−2.22994	−	0.540978i
$503$	−7.63133	+	16.7103i	−0.340264	+	0.745075i	−0.999979	−	0.00644107i	$-0.997950\pi$
$503$	−7.63133	+	16.7103i	−0.340264	+	0.745075i	0.659715	+	0.751516i	$0.270677\pi$
$504$	57.4262	+	12.1677i	2.55797	+	0.541992i
$505$	5.35109			0.238120
$506$	−0.211534	+	60.4537i	−0.00940384	+	2.68749i
$507$	−2.05568	+	8.24534i	−0.0912962	+	0.366188i
$508$	−42.8511	+	33.6985i	−1.90121	+	1.49513i
$509$	−2.75847	−	3.87373i	−0.122267	−	0.171700i	0.748906	−	0.662676i	$-0.230580\pi$
$509$	−2.75847	−	3.87373i	−0.122267	−	0.171700i	−0.871173	+	0.490976i	$0.836640\pi$
$510$	−30.5571	+	58.3619i	−1.35309	+	2.58431i
$511$	0.224400	−	4.20396i	0.00992687	−	0.185972i
$512$	−11.7561	+	40.0375i	−0.519550	+	1.76943i
$513$	1.00116	−	1.22446i	0.0442022	−	0.0540611i
$514$	−5.54499	−	3.94857i	−0.244579	−	0.174164i
$515$	6.31857	+	2.18688i	0.278429	+	0.0963654i
$516$	11.1427	+	3.34861i	0.490532	+	0.147414i
$517$	15.0236	+	2.16006i	0.660736	+	0.0949995i
$518$	21.5417	+	37.8098i	0.946488	+	1.66127i
$519$	3.96077	+	16.7900i	0.173859	+	0.736999i
$520$	−51.9678	+	10.0160i	−2.27894	+	0.439229i
$521$	0.834482	−	1.17187i	0.0365593	−	0.0513404i	−0.795892	−	0.605439i	$-0.792998\pi$
$521$	0.834482	−	1.17187i	0.0365593	−	0.0513404i	0.832451	+	0.554099i	$0.186937\pi$
$522$	23.5223	−	49.8264i	1.02954	−	2.18084i
$523$	−3.71360	−	3.89471i	−0.162384	−	0.170304i	0.637515	−	0.770438i	$-0.279962\pi$
$523$	−3.71360	−	3.89471i	−0.162384	−	0.170304i	−0.799899	+	0.600134i	$0.795114\pi$
$524$	25.4274	−	29.3448i	1.11080	−	1.28193i
$525$	−4.64368	+	3.92672i	−0.202667	+	0.171376i
$526$	1.18450	−	2.59368i	0.0516465	−	0.113090i
$527$	−10.8482	+	27.0975i	−0.472556	+	1.18039i
$528$	−78.3718	−	19.5393i	−3.41070	−	0.850337i
$529$	−22.9994	−	0.160957i	−0.999976	−	0.00699813i
$530$	−5.98950	+	10.3741i	−0.260167	+	0.450623i
$531$	−17.1110	+	3.07360i	−0.742556	+	0.133383i
$532$	3.72579	+	1.11721i	0.161533	+	0.0484372i
$533$	−9.82796	−	33.4710i	−0.425696	−	1.44979i
$534$	53.4676	+	24.8283i	2.31377	+	1.07443i
$535$	−22.7765	+	5.52553i	−0.984715	+	0.238889i
$536$	−42.7857	+	82.9927i	−1.84806	+	3.58474i
$537$	21.7143	−	18.5761i	0.937041	−	0.801616i
$538$	27.4159	−	23.7560i	1.18198	−	1.02419i
$539$	32.9012	−	7.58375i	1.41716	−	0.326655i
$540$	−40.4259	−	48.4856i	−1.73965	−	2.08649i
$541$	−28.2121	−	22.1862i	−1.21293	−	0.953860i	−0.213200	−	0.977009i	$-0.568389\pi$
$541$	−28.2121	−	22.1862i	−1.21293	−	0.953860i	−0.999732	+	0.0231483i	$0.992631\pi$
$542$	0.725455	−	15.2292i	0.0311610	−	0.654149i
$543$	1.22329	+	2.41021i	0.0524964	+	0.103432i
$544$	5.76120	−	60.3340i	0.247009	−	2.58680i
$545$	−19.4360	+	12.4907i	−0.832545	+	0.535044i
$546$	20.7371	+	27.0342i	0.887468	+	1.15696i
$547$	27.3655	−	31.5815i	1.17006	−	1.35033i	0.245455	−	0.969408i	$-0.421063\pi$
$547$	27.3655	−	31.5815i	1.17006	−	1.35033i	0.924609	−	0.380918i	$-0.124392\pi$
$548$	28.2000	+	6.84124i	1.20464	+	0.292243i
$549$	8.81745	−	1.15395i	0.376320	−	0.0492493i
$550$	13.1493	−	10.3408i	0.560690	−	0.440932i
$551$	1.06959	−	1.85259i	0.0455662	−	0.0789229i
$552$	15.0697	−	59.5559i	0.641409	−	2.53487i
$553$	−3.36744	+	8.27380i	−0.143198	+	0.351838i
$554$	78.1235	−	11.2325i	3.31915	−	0.477221i
$555$	4.07397	−	27.1147i	0.172930	−	1.15096i
$556$	10.0394	−	10.5290i	0.425766	−	0.446530i
$557$	−4.55924	+	23.6556i	−0.193181	+	1.00232i	0.747816	+	0.663906i	$0.231102\pi$
$557$	−4.55924	+	23.6556i	−0.193181	+	1.00232i	−0.940997	+	0.338414i	$0.890110\pi$
$558$	−28.2771	−	27.6545i	−1.19707	−	1.17071i
$559$	2.13922	+	3.32869i	0.0904794	+	0.140789i
$560$	29.8099	−	57.0189i	1.25970	−	2.40949i
$561$	−48.2672	−	2.60577i	−2.03784	−	0.110016i
$562$	70.7197	−	36.4585i	2.98313	−	1.53791i
$563$	−17.4669	+	6.99268i	−0.736141	+	0.294707i	−0.709274	−	0.704932i	$-0.750977\pi$
$563$	−17.4669	+	6.99268i	−0.736141	+	0.294707i	−0.0268669	+	0.999639i	$0.508553\pi$
$564$	−24.3763	−	9.93841i	−1.02643	−	0.418483i
$565$	6.23295	+	12.0902i	0.262222	+	0.508640i
$566$	−9.98190	−	11.5197i	−0.419571	−	0.484210i
$567$	−9.53227	+	21.8205i	−0.400318	+	0.916376i
$568$	−41.1237	+	26.4286i	−1.72551	+	1.10892i
$569$	−13.6241	−	14.2885i	−0.571152	−	0.599007i	0.373278	−	0.927719i	$-0.378234\pi$
$569$	−13.6241	−	14.2885i	−0.571152	−	0.599007i	−0.944430	+	0.328713i	$0.893385\pi$
$570$	−1.99241	−	2.83579i	−0.0834527	−	0.118778i
$571$	33.2073	+	31.6631i	1.38968	+	1.32506i	0.887880	+	0.460075i	$0.152178\pi$
$571$	33.2073	+	31.6631i	1.38968	+	1.32506i	0.501801	+	0.864983i	$0.332671\pi$
$572$	−38.4450	−	53.9884i	−1.60747	−	2.25737i
$573$	−33.3957	−	24.1012i	−1.39513	−	1.00684i
$574$	78.5274	+	31.9607i	3.27767	+	1.33401i
$575$	3.91666	+	5.01646i	0.163336	+	0.209201i
$576$	21.2969	+	11.3231i	0.887371	+	0.471795i
$577$	4.59577	+	5.84400i	0.191325	+	0.243289i	0.872246	−	0.489068i	$-0.162663\pi$
$577$	4.59577	+	5.84400i	0.191325	+	0.243289i	−0.680921	+	0.732357i	$0.738420\pi$
$578$	−4.09303	−	42.8642i	−0.170248	−	1.78291i
$579$	15.0647	−	9.54723i	0.626069	−	0.396769i
$580$	−64.5262	−	55.9123i	−2.67931	−	2.32163i
$581$	−31.0213	−	4.64170i	−1.28698	−	0.192570i
$582$	−37.2465	−	7.42367i	−1.54392	−	0.307721i
$583$	−8.74977	−	0.835502i	−0.362379	−	0.0346030i
$584$	3.84894	−	11.1208i	0.159270	−	0.460181i
$585$	0.271959	−	21.4667i	0.0112441	−	0.887537i
$586$	12.2059	−	15.5210i	0.504220	−	0.641168i
$587$	−0.758468	+	5.27526i	−0.0313053	+	0.217733i	−0.999469	−	0.0325847i	$-0.989626\pi$
$587$	−0.758468	+	5.27526i	−0.0313053	+	0.217733i	0.968164	+	0.250318i	$0.0805352\pi$
$588$	−58.5500	−	1.04170i	−2.41456	−	0.0429590i
$589$	−1.00558	−	1.16051i	−0.0414343	−	0.0478178i
$590$	−3.62108	+	37.9217i	−0.149078	+	1.56121i
$591$	−13.4785	+	4.56956i	−0.554431	+	0.187966i
$592$	14.3449	+	59.1306i	0.589573	+	2.43025i
$593$	8.63646	+	24.9534i	0.354657	+	1.02471i	0.971380	+	0.237533i	$0.0763387\pi$
$593$	8.63646	+	24.9534i	0.354657	+	1.02471i	−0.616723	+	0.787180i	$0.711540\pi$
$594$	28.3370	−	59.0534i	1.16268	−	2.42299i
$595$	11.0596	−	36.8826i	0.453399	−	1.51204i
$596$	−15.1136	+	2.17301i	−0.619077	+	0.0890099i
$597$	−4.74480	−	16.5463i	−0.194192	−	0.677195i
$598$	29.1177	−	20.5815i	1.19071	−	0.841639i
$599$	19.7785	−	11.4191i	0.808127	−	0.466572i	−0.0381779	−	0.999271i	$-0.512155\pi$
$599$	19.7785	−	11.4191i	0.808127	−	0.466572i	0.846305	+	0.532698i	$0.178822\pi$
$600$	−15.5074	+	6.96363i	−0.633087	+	0.284289i
$601$	10.0684	+	4.59809i	0.410699	+	0.187560i	0.610041	−	0.792370i	$-0.291153\pi$
$601$	10.0684	+	4.59809i	0.410699	+	0.187560i	−0.199342	+	0.979930i	$0.563880\pi$
$602$	−9.56775	−	0.968942i	−0.389952	−	0.0394911i
$603$	−29.4735	−	23.7886i	−1.20025	−	0.968748i
$604$	19.9699	−	19.0413i	0.812564	−	0.774779i
$605$	27.4222	+	14.1371i	1.11487	+	0.574756i
$606$	−1.76249	−	9.46694i	−0.0715961	−	0.384568i
$607$	7.56251	+	39.2380i	0.306953	+	1.59262i	0.727996	+	0.685581i	$0.240452\pi$
$607$	7.56251	+	39.2380i	0.306953	+	1.59262i	−0.421044	+	0.907040i	$0.638336\pi$
$608$	2.68237	+	1.72386i	0.108785	+	0.0699117i
$609$	−7.96968	+	31.2038i	−0.322948	+	1.26444i
$610$	2.77311	−	19.2874i	0.112280	−	0.780925i
$611$	−4.10222	−	7.95719i	−0.165958	−	0.321914i
$612$	80.1337	+	24.6362i	3.23921	+	0.995861i
$613$	3.73177	−	5.24053i	0.150725	−	0.211663i	−0.732309	−	0.680972i	$-0.761558\pi$
$613$	3.73177	−	5.24053i	0.150725	−	0.211663i	0.883034	+	0.469309i	$0.155497\pi$
$614$	−2.75883	−	57.9150i	−0.111337	−	2.33726i
$615$	−26.4169	−	46.4321i	−1.06523	−	1.87232i
$616$	94.2459	+	5.03069i	3.79727	+	0.202692i
$617$	7.10801	+	24.2077i	0.286158	+	0.974564i	0.969628	+	0.244585i	$0.0786518\pi$
$617$	7.10801	+	24.2077i	0.286158	+	0.974564i	−0.683470	+	0.729979i	$0.739530\pi$
$618$	1.78780	−	11.8989i	0.0719157	−	0.478643i
$619$	29.0403	+	36.9277i	1.16723	+	1.48425i	0.842708	+	0.538370i	$0.180960\pi$
$619$	29.0403	+	36.9277i	1.16723	+	1.48425i	0.324518	+	0.945879i	$0.394798\pi$
$620$	−53.0774	+	30.6443i	−2.13164	+	1.23070i
$621$	22.4293	+	10.8595i	0.900055	+	0.435776i
$622$			16.3486i			0.655517i
$623$	−33.4383	−	8.31513i	−1.33968	−	0.333139i
$624$	17.4257	+	44.3392i	0.697587	+	1.77499i
$625$	−7.04311	+	29.0321i	−0.281725	+	1.16128i
$626$	24.6339	+	4.74779i	0.984568	+	0.189760i
$627$	1.28542	−	2.19419i	0.0513346	−	0.0876275i
$628$	−37.7770	+	1.79954i	−1.50747	+	0.0718095i
$629$	15.1266	+	33.1227i	0.603138	+	1.32069i
$630$	40.4136	+	33.0026i	1.61011	+	1.31486i
$631$	−7.12051	−	4.57608i	−0.283463	−	0.182171i	0.391181	−	0.920314i	$-0.372067\pi$
$631$	−7.12051	−	4.57608i	−0.283463	−	0.182171i	−0.674644	+	0.738143i	$0.735703\pi$
$632$	−15.4353	+	19.6276i	−0.613985	+	0.780746i
$633$	−34.6037	−	14.1082i	−1.37537	−	0.560751i
$634$	−1.10076	+	23.1079i	−0.0437170	+	0.917732i
$635$	−27.8775	+	5.37295i	−1.10629	+	0.213219i
$636$	14.3741	+	5.07711i	0.569971	+	0.201320i
$637$	−14.9002	−	13.2129i	−0.590367	−	0.523516i
$638$	24.9585	−	85.0009i	0.988117	−	3.36522i
$639$	−7.13606	−	18.5009i	−0.282298	−	0.731884i
$640$	0.106238	−	0.111420i	0.00419944	−	0.00440424i
$641$	−3.97426	−	41.6203i	−0.156974	−	1.64390i	−0.640056	−	0.768328i	$-0.721089\pi$
$641$	−3.97426	−	41.6203i	−0.156974	−	1.64390i	0.483083	−	0.875575i	$-0.339517\pi$
$642$	17.2774	+	38.4754i	0.681886	+	1.51850i
$643$		−	16.1052i		−	0.635127i	−0.948237	−	0.317564i	$-0.897135\pi$
$643$		−	16.1052i		−	0.635127i	0.948237	−	0.317564i	$-0.102865\pi$
$644$	−3.48072	+	61.1855i	−0.137160	+	2.41105i
$645$	4.35884	+	4.20917i	0.171629	+	0.165736i
$646$	4.27291	+	1.71061i	0.168115	+	0.0673032i
$647$	12.3588	−	1.18012i	0.485873	−	0.0463952i	0.150754	−	0.988571i	$-0.451830\pi$
$647$	12.3588	−	1.18012i	0.485873	−	0.0463952i	0.335118	+	0.942176i	$0.391224\pi$
$648$	−42.4575	+	51.2612i	−1.66789	+	2.01373i
$649$	−26.4142	+	9.14206i	−1.03685	+	0.358857i
$650$	−9.46709	−	2.77979i	−0.371330	−	0.109032i
$651$	19.2959	+	12.7322i	0.756268	+	0.499015i
$652$	−11.1157	−	24.3399i	−0.435323	−	0.953225i
$653$	4.28801	+	22.2483i	0.167803	+	0.870643i	0.964060	+	0.265685i	$0.0855981\pi$
$653$	4.28801	+	22.2483i	0.167803	+	0.870643i	−0.796257	+	0.604958i	$0.793190\pi$
$654$	28.4998	+	30.2713i	1.11443	+	1.18370i
$655$	18.7731	−	7.51563i	0.733527	−	0.293660i
$656$	93.1838	+	73.2805i	3.63822	+	2.86112i
$657$	4.10351	+	2.43899i	0.160093	+	0.0951541i
$658$	21.3408	+	4.24002i	0.831951	+	0.165293i
$659$	−11.2927	+	5.15718i	−0.439900	+	0.200895i	−0.623038	−	0.782192i	$-0.714102\pi$
$659$	−11.2927	+	5.15718i	−0.439900	+	0.200895i	0.183138	+	0.983087i	$0.441374\pi$
$660$	−76.2838	−	66.9510i	−2.96934	−	2.60606i
$661$	−21.4739	+	5.20952i	−0.835239	+	0.202627i	−0.630499	−	0.776190i	$-0.717150\pi$
$661$	−21.4739	+	5.20952i	−0.835239	+	0.202627i	−0.204740	+	0.978816i	$0.565635\pi$
$662$	−11.5617	+	59.9878i	−0.449358	+	2.33149i
$663$	15.2618	+	24.0818i	0.592718	+	0.935259i
$664$	−79.7556	−	36.4232i	−3.09512	−	1.41349i
$665$	1.45805	+	1.40628i	0.0565406	+	0.0545331i
$666$	−49.3122	+	1.72326i	−1.91081	+	0.0667749i
$667$	32.3055	+	9.60867i	1.25087	+	0.372049i
$668$	10.6411	+	18.4310i	0.411717	+	0.713116i
$669$	−3.51257	+	34.4761i	−0.135804	+	1.33292i
$670$	−67.6055	+	48.1416i	−2.61183	+	1.85987i
$671$	13.7185	−	4.02811i	0.529596	−	0.155503i
$672$	−45.8927	−	14.0788i	−1.77035	−	0.543100i
$673$	−12.1997	−	3.58215i	−0.470264	−	0.138082i	0.0380102	−	0.999277i	$-0.487898\pi$
$673$	−12.1997	−	3.58215i	−0.470264	−	0.138082i	−0.508274	+	0.861195i	$0.669716\pi$
$674$	58.5162	−	2.78747i	2.25396	−	0.107369i
$675$	−1.49808	−	6.73091i	−0.0576610	−	0.259073i
$676$	7.75029	−	22.3930i	0.298088	−	0.861268i
$677$	14.3380	−	7.39175i	0.551054	−	0.284088i	−0.160128	−	0.987096i	$-0.551191\pi$
$677$	14.3380	−	7.39175i	0.551054	−	0.284088i	0.711182	+	0.703008i	$0.248160\pi$
$678$	19.3366	−	15.0092i	0.742619	−	0.576427i
$679$	22.1983	+	0.127149i	0.851893	+	0.00487953i
$680$	58.1908	−	90.5467i	2.23152	−	3.47231i
$681$	32.9576	+	21.4767i	1.26294	+	0.822990i
$682$	−51.8005	−	36.8870i	−1.98355	−	1.41248i
$683$	−9.20498	+	17.8552i	−0.352219	+	0.683209i	−0.996679	−	0.0814287i	$-0.974052\pi$
$683$	−9.20498	+	17.8552i	−0.352219	+	0.683209i	0.644460	+	0.764638i	$0.277082\pi$
$684$	−3.08378	+	3.15321i	−0.117911	+	0.120566i
$685$	11.4211	+	9.89644i	0.436378	+	0.378124i
$686$	47.6767	−	8.34196i	1.82030	−	0.318498i
$687$	2.93341	+	7.46399i	0.111917	+	0.284769i
$688$	−12.4833	−	4.99755i	−0.475921	−	0.190530i
$689$	2.59215	+	4.48973i	0.0987530	+	0.171045i
$690$	36.1627	−	40.9141i	1.37669	−	1.55757i
$691$	−27.3396	−	15.7845i	−1.04005	−	0.600471i	−0.120200	−	0.992750i	$-0.538354\pi$
$691$	−27.3396	−	15.7845i	−1.04005	−	0.600471i	−0.919847	+	0.392278i	$0.871687\pi$
$692$	−6.84601	−	47.6150i	−0.260246	−	1.81005i
$693$	−9.70882	+	37.0332i	−0.368808	+	1.40677i
$694$	−55.8238	+	16.3914i	−2.11904	+	0.622207i
$695$	7.15987	−	2.47806i	0.271589	−	0.0939980i
$696$	−45.5048	+	77.6762i	−1.72486	+	2.94431i
$697$	63.0578	+	32.5086i	2.38849	+	1.23135i
$698$	−5.51164	−	0.526298i	−0.208619	−	0.0199207i
$699$	−34.9361	−	1.88607i	−1.32141	−	0.0713379i
$700$	13.8698	−	9.75738i	0.524228	−	0.368794i
$701$	−16.4076	−	2.35905i	−0.619705	−	0.0891001i	−0.174690	−	0.984623i	$-0.555892\pi$
$701$	−16.4076	−	2.35905i	−0.619705	−	0.0891001i	−0.445015	+	0.895523i	$0.646802\pi$
$702$	−38.0676	+	6.58933i	−1.43677	+	0.248698i
$703$	−1.91349	−	0.0911510i	−0.0721688	−	0.00343782i
$704$	36.6473	+	12.6837i	1.38120	+	0.478036i
$705$	−8.91204	−	10.4176i	−0.335647	−	0.392351i
$706$	16.3818	+	25.4907i	0.616539	+	0.959353i
$707$	2.06193	+	5.23718i	0.0775467	+	0.196964i
$708$	48.2872	−	4.30240i	1.81474	−	0.161694i
$709$	−5.36108	+	22.0987i	−0.201340	+	0.829933i	0.778091	+	0.628151i	$0.216188\pi$
$709$	−5.36108	+	22.0987i	−0.201340	+	0.829933i	−0.979431	+	0.201781i	$0.935327\pi$
$710$	−43.2540	+	4.13025i	−1.62329	+	0.155006i
$711$	−6.53550	−	7.73830i	−0.245100	−	0.290209i
$712$	−83.4126	−	48.1583i	−3.12602	−	1.80481i
$713$	14.1027	−	19.6585i	0.528150	−	0.736217i
$714$	−68.8941	−	7.41817i	−2.57830	−	0.277618i
$715$	−4.91228	−	34.1657i	−0.183709	−	1.27772i
$716$	−64.9094	+	46.2218i	−2.42578	+	1.72739i
$717$	34.2971	−	1.41610i	1.28085	−	0.0528852i
$718$	31.4732	+	6.06597i	1.17457	+	0.226380i
$719$	34.9271	−	33.3030i	1.30256	−	1.24199i	0.350327	−	0.936628i	$-0.386071\pi$
$719$	34.9271	−	33.3030i	1.30256	−	1.24199i	0.952236	−	0.305363i	$-0.0987779\pi$
$720$	41.5624	+	59.9596i	1.54894	+	2.23456i
$721$	0.294396	+	7.02674i	0.0109639	+	0.261689i
$722$	37.3435	−	32.3584i	1.38978	−	1.20425i
$723$	−1.81739	+	6.04749i	−0.0675894	+	0.224909i
$724$	−2.80125	−	6.99719i	−0.104108	−	0.260049i
$725$	−3.46625	−	8.65827i	−0.128733	−	0.321560i
$726$	15.9788	−	53.1707i	0.593030	−	1.97335i
$727$	−2.65517	+	2.30072i	−0.0984748	+	0.0853289i	−0.702707	−	0.711479i	$-0.748025\pi$
$727$	−2.65517	+	2.30072i	−0.0984748	+	0.0853289i	0.604232	+	0.796808i	$0.293480\pi$
$728$	−29.8274	−	47.0022i	−1.10548	−	1.74202i
$729$	−16.8932	−	21.0623i	−0.625673	−	0.780086i
$730$	7.57031	−	7.21828i	0.280190	−	0.267160i
$731$	−7.90165	−	1.52292i	−0.292253	−	0.0563272i
$732$	−24.7764	+	1.02300i	−0.915760	+	0.0378110i
$733$	−1.67463	+	1.19250i	−0.0618537	+	0.0440458i	−0.610566	−	0.791966i	$-0.709058\pi$
$733$	−1.67463	+	1.19250i	−0.0618537	+	0.0440458i	0.548712	+	0.836012i	$0.315118\pi$
$734$	2.26839	+	15.7770i	0.0837278	+	0.582340i
$735$	−26.8541	−	14.4546i	−0.990528	−	0.533166i
$736$	−16.5971	+	47.4167i	−0.611777	+	1.74780i
$737$	−52.7385	−	30.4486i	−1.94265	−	1.12159i
$738$	−73.4450	+	62.0290i	−2.70355	+	2.28332i
$739$	−28.3184	+	2.70408i	−1.04171	+	0.0994713i	−0.601861	−	0.798601i	$-0.705574\pi$
$739$	−28.3184	+	2.70408i	−1.04171	+	0.0994713i	−0.439849	+	0.898072i	$0.644968\pi$
$740$	−18.0259	+	74.3039i	−0.662646	+	2.73147i
$741$	−1.49399	+	0.133115i	−0.0548832	+	0.00489011i
$742$	−12.4612	−	1.86457i	−0.457466	−	0.0684504i
$743$	6.13877	+	9.55211i	0.225210	+	0.350433i	0.935409	−	0.353568i	$-0.115032\pi$
$743$	6.13877	+	9.55211i	0.225210	+	0.350433i	−0.710199	+	0.704001i	$0.751395\pi$
$744$	42.0080	+	49.1048i	1.54009	+	1.80027i
$745$	−7.51462	−	2.60084i	−0.275314	−	0.0952872i
$746$	31.8362	+	1.51654i	1.16561	+	0.0555246i
$747$	20.9959	−	28.7079i	0.768200	−	1.05037i
$748$	133.419	+	19.1827i	4.87828	+	0.701390i
$749$	−14.1844	−	20.1626i	−0.518285	−	0.736724i
$750$	41.7590	+	2.25442i	1.52482	+	0.0823197i
$751$	14.5616	+	1.39047i	0.531361	+	0.0507388i	0.357289	−	0.933994i	$-0.383701\pi$
$751$	14.5616	+	1.39047i	0.531361	+	0.0507388i	0.174072	+	0.984733i	$0.444307\pi$
$752$	27.0410	+	13.9406i	0.986082	+	0.508361i
$753$	−17.2233	+	29.4000i	−0.627653	+	1.07140i
$754$	−49.3783	+	17.0900i	−1.79825	+	0.622381i
$755$	13.7880	−	4.04854i	0.501798	−	0.147341i
$756$	31.8763	−	58.2483i	1.15933	−	2.11847i
$757$	0.222694	+	1.54887i	0.00809396	+	0.0562947i	0.993468	−	0.114110i	$-0.0364016\pi$
$757$	0.222694	+	1.54887i	0.00809396	+	0.0562947i	−0.985374	+	0.170405i	$0.945493\pi$
$758$	−7.45886	−	4.30638i	−0.270918	−	0.156415i
$759$	38.3305	+	11.6655i	1.39131	+	0.423429i
$760$	2.83123	+	4.90384i	0.102700	+	0.177881i
$761$	10.2673	+	4.11039i	0.372188	+	0.149002i	0.550213	−	0.835024i	$-0.314547\pi$
$761$	10.2673	+	4.11039i	0.372188	+	0.149002i	−0.178025	+	0.984026i	$0.556971\pi$
$762$	18.6876	+	47.5502i	0.676981	+	1.72256i
$763$	−19.7141	−	14.2092i	−0.713698	−	0.514408i
$764$	86.7933	+	75.2068i	3.14007	+	2.72089i
$765$	31.2145	+	30.5272i	1.12856	+	1.10371i
$766$	38.4631	−	74.6079i	1.38973	−	2.69569i
$767$	13.4295	+	9.56310i	0.484911	+	0.345304i
$768$	23.1020	+	15.0544i	0.833623	+	0.543228i
$769$	16.8259	−	26.1817i	0.606759	−	0.944135i	−0.392940	−	0.919564i	$-0.628542\pi$
$769$	16.8259	−	26.1817i	0.606759	−	0.944135i	0.999698	−	0.0245704i	$-0.00782179\pi$
$770$	72.4097	+	42.3606i	2.60946	+	1.52657i
$771$	−3.56389	+	2.76632i	−0.128350	+	0.0996265i
$772$	−44.2056	+	22.7896i	−1.59099	+	0.820214i
$773$	14.7896	−	42.7316i	0.531944	−	1.53695i	−0.284003	−	0.958823i	$-0.591663\pi$
$773$	14.7896	−	42.7316i	0.531944	−	1.53695i	0.815947	−	0.578127i	$-0.196216\pi$
$774$	6.01104	−	9.09786i	0.216062	−	0.327016i
$775$	−6.68713	+	0.318547i	−0.240209	+	0.0114426i
$776$	59.5382	+	17.4820i	2.13730	+	0.627567i
$777$	28.1074	−	6.46083i	1.00835	−	0.231781i
$778$	29.8427	−	8.76261i	1.06991	−	0.314155i
$779$	−3.04025	+	2.16495i	−0.108928	+	0.0775674i
$780$	−6.06793	+	59.5571i	−0.217267	+	2.13249i
$781$	−15.9409	−	27.6105i	−0.570412	−	0.987982i
$782$	−10.5713	+	71.7422i	−0.378030	+	2.56550i
$783$	−27.1388	−	24.4340i	−0.969861	−	0.873200i
$784$	67.2918	+	7.20437i	2.40328	+	0.257299i
$785$	−17.9163	−	8.18212i	−0.639462	−	0.292032i
$786$	−19.4797	−	30.7373i	−0.694816	−	1.09636i
$787$	−3.89950	+	20.2325i	−0.139002	+	0.721212i	0.843816	+	0.536633i	$0.180304\pi$
$787$	−3.89950	+	20.2325i	−0.139002	+	0.721212i	−0.982818	+	0.184579i	$0.940908\pi$
$788$	38.5678	−	9.35646i	1.37392	−	0.333310i
$789$	−1.42031	−	1.24655i	−0.0505645	−	0.0443782i
$790$	−20.1889	+	9.21998i	−0.718290	+	0.328032i
$791$	−9.43115	+	10.7590i	−0.335333	+	0.382545i
$792$	−54.6782	+	91.9941i	−1.94291	+	3.26887i
$793$	−6.62885	−	5.21299i	−0.235397	−	0.185119i
$794$	−72.1724	+	28.8935i	−2.56130	+	1.02539i
$795$	5.44214	+	5.78043i	0.193013	+	0.205011i
$796$	9.08397	+	47.1321i	0.321973	+	1.67055i
$797$	0.456368	+	0.999306i	0.0161654	+	0.0353972i	0.917542	−	0.397638i	$-0.130170\pi$
$797$	0.456368	+	0.999306i	0.0161654	+	0.0353972i	−0.901377	+	0.433035i	$0.857443\pi$
$798$	2.00770	−	3.04271i	0.0710716	−	0.107711i
$799$	17.4692	+	5.12941i	0.618014	+	0.181465i
$800$	13.1367	−	4.54667i	0.464454	−	0.160749i
$801$	25.9575	−	29.2008i	0.917165	−	1.03176i
$802$	13.6595	−	1.30432i	0.482334	−	0.0460573i
$803$	7.12528	+	2.85253i	0.251446	+	0.100664i
$804$	75.9765	+	73.3679i	2.67949	+	2.58748i
$805$	−16.2126	+	27.4920i	−0.571417	+	0.968966i
$806$			37.5081i			1.32117i
$807$	−9.84886	−	21.9326i	−0.346696	−	0.772063i
$808$	1.49554	+	15.6620i	0.0526128	+	0.550986i
$809$	27.3138	−	28.6459i	0.960303	−	1.00714i	−0.0396654	−	0.999213i	$-0.512629\pi$
$809$	27.3138	−	28.6459i	0.960303	−	1.00714i	0.999969	−	0.00792403i	$-0.00252232\pi$
$810$	−54.4219	+	23.2059i	−1.91219	+	0.815374i
$811$	−14.1366	+	48.1449i	−0.496403	+	1.69059i	0.205779	+	0.978598i	$0.434027\pi$
$811$	−14.1366	+	48.1449i	−0.496403	+	1.69059i	−0.702183	+	0.711997i	$0.747791\pi$
$812$	29.8584	−	84.6973i	1.04782	−	2.97229i
$813$	−9.52780	−	3.36533i	−0.334154	−	0.118027i
$814$	−77.8992	+	15.0138i	−2.73036	+	0.526235i
$815$	0.663070	−	13.9196i	0.0232263	−	0.487581i
$816$	−89.7175	−	36.5785i	−3.14074	−	1.28050i
$817$	0.261696	−	0.332774i	0.00915560	−	0.0116423i
$818$	−48.1231	−	30.9269i	−1.68259	−	1.08133i
$819$	21.1145	−	8.00554i	0.737801	−	0.279736i
$820$	61.8828	+	135.504i	2.16104	+	4.73202i
$821$	27.2520	−	1.29817i	0.951103	−	0.0453066i	0.433708	−	0.901054i	$-0.357205\pi$
$821$	27.2520	−	1.29817i	0.951103	−	0.0453066i	0.517395	+	0.855747i	$0.326902\pi$
$822$	13.7466	−	23.4654i	0.479469	−	0.818449i
$823$	17.5220	+	3.37709i	0.610779	+	0.117718i	0.485255	−	0.874373i	$-0.338727\pi$
$823$	17.5220	+	3.37709i	0.610779	+	0.117718i	0.125524	+	0.992091i	$0.459939\pi$
$824$	−4.63479	+	19.1049i	−0.161461	+	0.665550i
$825$	−4.05527	−	10.3185i	−0.141186	−	0.359245i
$826$	−38.5098	+	11.0683i	−1.33993	+	0.385116i
$827$			32.1556i			1.11816i	0.829113	+	0.559081i	$0.188846\pi$
$827$			32.1556i			1.11816i	−0.829113	+	0.559081i	$0.811154\pi$
$828$	−59.6105	−	35.7134i	−2.07161	−	1.24113i
$829$	37.2096	−	21.4830i	1.29234	−	0.746134i	0.313273	−	0.949663i	$-0.398575\pi$
$829$	37.2096	−	21.4830i	1.29234	−	0.746134i	0.979069	+	0.203529i	$0.0652413\pi$
$830$	−48.1756	−	61.2603i	−1.67220	−	2.12638i
$831$	7.77219	−	51.7286i	0.269614	−	1.79445i
$832$	−6.44419	−	21.9469i	−0.223412	−	0.760872i
$833$	40.3591	−	3.38777i	1.39836	−	0.117379i
$834$	−6.74233	−	11.8508i	−0.233468	−	0.410359i
$835$	0.527380	+	11.0711i	0.0182507	+	0.383130i
$836$	−4.11330	+	5.77633i	−0.142262	+	0.199778i
$837$	−22.9464	+	12.6730i	−0.793143	+	0.438042i
$838$	36.9001	+	71.5763i	1.27469	+	2.47256i
$839$	−1.76291	+	12.2613i	−0.0608624	+	0.423307i	0.936497	+	0.350677i	$0.114048\pi$
$839$	−1.76291	+	12.2613i	−0.0608624	+	0.423307i	−0.997359	+	0.0726303i	$0.976861\pi$
$840$	−60.9832	−	59.5681i	−2.10412	−	2.05530i
$841$	−17.1533	−	11.0237i	−0.591493	−	0.380129i
$842$	−14.0969	−	73.1415i	−0.485810	−	2.52062i
$843$	−9.65139	−	51.8411i	−0.332412	−	1.78550i
$844$	92.6216	+	47.7497i	3.18817	+	1.64361i
$845$	8.93146	−	8.51613i	0.307252	−	0.292964i
$846$	−15.4951	+	19.1981i	−0.532734	+	0.660044i
$847$	−3.26965	+	32.2859i	−0.112347	+	1.10936i
$848$	−16.0257	−	7.31871i	−0.550326	−	0.251325i
$849$	−9.21573	+	4.13834i	−0.316283	+	0.142027i
$850$	17.3779	−	10.0331i	0.596056	−	0.344133i
$851$	−5.60834	−	29.6569i	−0.192251	−	1.01662i
$852$	15.2421	+	53.1529i	0.522185	+	1.82099i
$853$	19.0851	−	2.74402i	0.653460	−	0.0939534i	0.192392	−	0.981318i	$-0.438375\pi$
$853$	19.0851	−	2.74402i	0.653460	−	0.0939534i	0.461068	+	0.887365i	$0.347466\pi$
$854$	19.9454	−	4.71791i	0.682518	−	0.161443i
$855$	−2.17996	+	0.723699i	−0.0745529	+	0.0247500i
$856$	−22.5382	−	65.1198i	−0.770339	−	2.22575i
$857$	−5.76009	−	23.7434i	−0.196761	−	0.811059i	−0.981536	−	0.191278i	$-0.938737\pi$
$857$	−5.76009	−	23.7434i	−0.196761	−	0.811059i	0.784775	−	0.619781i	$-0.212779\pi$
$858$	−58.8266	+	19.9437i	−2.00831	+	0.680868i
$859$	−0.954760	+	9.99870i	−0.0325760	+	0.341151i	0.964461	+	0.264226i	$0.0851164\pi$
$859$	−0.954760	+	9.99870i	−0.0325760	+	0.341151i	−0.997037	+	0.0769254i	$0.975490\pi$
$860$	−11.0651	−	12.7698i	−0.377318	−	0.435448i
$861$	35.2646	−	43.7462i	1.20181	−	1.49086i
$862$	6.03747	−	41.9915i	0.205637	−	1.43024i
$863$	12.3768	−	15.7383i	0.421310	−	0.535740i	−0.528348	−	0.849028i	$-0.677188\pi$
$863$	12.3768	−	15.7383i	0.421310	−	0.535740i	0.949658	+	0.313288i	$0.101431\pi$
$864$	38.3034	−	38.6727i	1.30311	−	1.31567i
$865$	8.19387	−	23.6746i	0.278600	−	0.804961i
$866$	49.3556	+	4.71288i	1.67717	+	0.160150i
$867$	−27.9872	−	5.57818i	−0.950496	−	0.189445i
$868$	−50.4442	−	40.1395i	−1.71219	−	1.36242i
$869$	−12.3076	−	10.6646i	−0.417506	−	0.361771i
$870$	−67.5882	+	42.8338i	−2.29146	+	1.45220i
$871$	3.41428	+	35.7560i	0.115688	+	1.21154i
$872$	−41.9909	−	53.3957i	−1.42199	−	1.80821i
$873$	−11.8165	+	22.2249i	−0.399927	+	0.752199i
$874$	−3.09988	−	2.22380i	−0.104855	−	0.0752211i
$875$	−24.2143	+	3.34004i	−0.818591	+	0.112914i
$876$	−10.7940	−	7.78991i	−0.364697	−	0.263197i
$877$	−16.8894	−	23.7178i	−0.570313	−	0.800892i	0.424193	−	0.905572i	$-0.360558\pi$
$877$	−16.8894	−	23.7178i	−0.570313	−	0.800892i	−0.994506	+	0.104679i	$0.966618\pi$
$878$	54.7236	+	52.1788i	1.84683	+	1.76095i
$879$	−7.52323	−	10.7078i	−0.253752	−	0.361165i
$880$	80.9457	+	84.8934i	2.72868	+	2.86176i
$881$	44.6642	−	28.7039i	1.50478	−	0.967060i	0.510538	−	0.859855i	$-0.329446\pi$
$881$	44.6642	−	28.7039i	1.50478	−	0.967060i	0.994237	−	0.107205i	$-0.0341902\pi$
$882$	−16.7276	+	52.2701i	−0.563248	+	1.76003i
$883$	−11.3585	−	13.1084i	−0.382244	−	0.441133i	0.531725	−	0.846917i	$-0.321544\pi$
$883$	−11.3585	−	13.1084i	−0.382244	−	0.441133i	−0.913969	+	0.405784i	$0.866998\pi$
$884$	−36.4303	−	70.6650i	−1.22528	−	2.37672i
$885$	23.3788	+	9.53170i	0.785868	+	0.320405i
$886$	−78.9875	+	31.6218i	−2.65364	+	1.06236i
$887$	6.41622	−	3.30779i	0.215436	−	0.111065i	−0.347131	−	0.937817i	$-0.612844\pi$
$887$	6.41622	−	3.30779i	0.215436	−	0.111065i	0.562567	+	0.826752i	$0.309814\pi$
$888$	80.5001	+	4.34591i	2.70141	+	0.145839i
$889$	−16.0006	−	25.2138i	−0.536642	−	0.845643i
$890$	−46.2851	−	72.0210i	−1.55148	−	2.41415i
$891$	−32.0769	−	29.2500i	−1.07462	−	0.979912i
$892$	18.2884	−	94.8893i	0.612341	−	3.17713i
$893$	−0.660980	+	0.693216i	−0.0221189	+	0.0231976i
$894$	−2.12621	+	14.1512i	−0.0711111	+	0.473288i
$895$	−41.0768	+	5.90596i	−1.37305	+	0.197414i
$896$	0.149984	+	0.0610438i	0.00501063	+	0.00203933i
$897$	−7.50932	−	22.4072i	−0.250729	−	0.748156i
$898$	−9.45636	+	16.3789i	−0.315563	+	0.546571i
$899$	−27.8685	+	21.9160i	−0.929465	+	0.730940i
$900$	2.49520	+	19.0661i	0.0831733	+	0.635536i
$901$	−10.2462	−	2.48571i	−0.341351	−	0.0828108i
$902$	−101.219	+	116.812i	−3.37021	+	3.88943i
$903$	−2.43999	+	5.88797i	−0.0811979	+	0.195939i
$904$	−33.6446	+	21.6221i	−1.11900	+	0.719140i
$905$	0.373119	−	3.90748i	0.0124029	−	0.129889i
$906$	−11.7039	−	23.0598i	−0.388835	−	0.766111i
$907$	−1.07094	+	22.4818i	−0.0355600	+	0.746496i	0.908731	+	0.417383i	$0.137053\pi$
$907$	−1.07094	+	22.4818i	−0.0355600	+	0.746496i	−0.944291	+	0.329113i	$0.893250\pi$
$908$	−86.2257	−	67.8087i	−2.86150	−	2.25031i
$909$	−6.34499	−	0.687088i	−0.210450	−	0.0227893i
$910$	−4.42121	−	49.2826i	−0.146562	−	1.63370i
$911$	13.1993	−	11.4373i	0.437312	−	0.378933i	−0.408197	−	0.912894i	$-0.633842\pi$
$911$	13.1993	−	11.4373i	0.437312	−	0.378933i	0.845509	+	0.533961i	$0.179297\pi$
$912$	3.87324	−	3.31346i	0.128256	−	0.109720i
$913$	26.2032	−	50.8271i	0.867199	−	1.68213i
$914$	−76.9636	+	18.6712i	−2.54573	+	0.617587i
$915$	−11.7130	−	5.43910i	−0.387221	−	0.179811i
$916$	−6.30048	−	21.4575i	−0.208174	−	0.708974i
$917$	14.5895	+	15.4775i	0.481787	+	0.511113i
$918$	43.7265	−	65.2783i	1.44319	−	2.15450i
$919$	−16.9082	+	29.2859i	−0.557750	+	0.966051i	0.439934	+	0.898030i	$0.355002\pi$
$919$	−16.9082	+	29.2859i	−0.557750	+	0.966051i	−0.997684	+	0.0680211i	$0.978331\pi$
$920$	−64.7835	+	61.3396i	−2.13585	+	2.02231i
$921$	−37.2857	−	9.29588i	−1.22861	−	0.306309i
$922$	23.4479	−	58.5700i	0.772215	−	1.92890i
$923$	−7.81175	+	17.1053i	−0.257127	+	0.563029i
$924$	36.1315	−	100.458i	1.18864	−	3.30483i
$925$	−5.46929	+	6.31190i	−0.179829	+	0.207534i
$926$	−20.8410	−	21.8574i	−0.684877	−	0.718279i
$927$	−7.21137	−	3.40438i	−0.236852	−	0.111814i
$928$	42.7027	−	59.9675i	1.40178	−	1.96853i
$929$	47.7041	−	9.19421i	1.56512	−	0.301652i	0.668247	−	0.743939i	$-0.267045\pi$
$929$	47.7041	−	9.19421i	1.56512	−	0.301652i	0.896873	+	0.442287i	$0.145833\pi$
$930$	13.1880	+	55.9049i	0.432451	+	1.83319i
$931$	−0.814516	+	1.96889i	−0.0266947	+	0.0645277i
$932$	96.5695	+	13.8846i	3.16324	+	0.454805i
$933$	10.3767	+	3.11839i	0.339717	+	0.102092i
$934$	−65.8864	−	22.8035i	−2.15587	−	0.746154i
$935$	57.1815	+	40.7188i	1.87004	+	1.33165i
$936$	62.9063	−	5.20357i	2.05616	−	0.170084i
$937$	−4.84662	+	16.5061i	−0.158332	+	0.539230i	−1.00000		0.000766139i	$-0.999756\pi$
$937$	−4.84662	+	16.5061i	−0.158332	+	0.539230i	0.841667	+	0.539996i	$0.181574\pi$
$938$	−73.1672	−	47.6161i	−2.38899	−	1.55472i
$939$	7.71226	−	14.7299i	0.251680	−	0.480691i
$940$	22.1753	+	31.1409i	0.723280	+	1.01570i
$941$	−1.15903	+	0.911472i	−0.0377833	+	0.0297132i	−0.636872	−	0.770969i	$-0.719772\pi$
$941$	−1.15903	+	0.911472i	−0.0377833	+	0.0297132i	0.599089	+	0.800683i	$0.295530\pi$
$942$	−8.57440	+	34.3919i	−0.279369	+	1.12055i
$943$	−44.3067	−	38.6643i	−1.44283	−	1.25908i
$944$	−56.0261			−1.82349
$945$	28.6559	−	19.3560i	0.932176	−	0.629651i
$946$	7.28305	−	15.9477i	0.236792	−	0.518503i
$947$	31.0017	+	7.52093i	1.00742	+	0.244397i	0.705328	−	0.708881i	$-0.250800\pi$
$947$	31.0017	+	7.52093i	1.00742	+	0.244397i	0.302092	+	0.953279i	$0.402315\pi$
$948$	16.2375	+	23.1108i	0.527370	+	0.750604i
$949$	−1.06726	−	4.39932i	−0.0346449	−	0.142808i
$950$	0.0502305	+	1.05447i	0.00162969	+	0.0342115i
$951$	14.4570	+	5.10637i	0.468799	+	0.165585i
$952$	111.042	+	22.0620i	3.59889	+	0.715032i
$953$	−3.47951	+	5.41423i	−0.112713	+	0.175384i	−0.893027	−	0.450003i	$-0.851423\pi$
$953$	−3.47951	+	5.41423i	−0.112713	+	0.175384i	0.780314	+	0.625388i	$0.215059\pi$
$954$	8.43404	−	11.5319i	0.273062	−	0.373360i
$955$	22.2290	+	55.5255i	0.719315	+	1.79676i
$956$	−95.6117	−	4.55455i	−3.09230	−	0.147305i
$957$	−49.1906	−	32.0550i	−1.59011	−	1.03619i
$958$	66.8205	−	30.5159i	2.15887	−	0.985924i
$959$	−5.28491	+	14.9914i	−0.170659	+	0.484097i
$960$	−17.3215	−	30.4455i	−0.559050	−	0.982625i
$961$	−1.81534	−	5.24507i	−0.0585593	−	0.169196i
$962$	33.8652	+	32.2904i	1.09186	+	1.04109i
$963$	27.7165	−	3.62728i	0.893151	−	0.116888i
$964$	6.54449	−	16.3473i	0.210784	−	0.526512i
$965$	−25.9012			−0.833788
$966$	53.9777	+	19.6276i	1.73670	+	0.631508i
$967$	7.15490			0.230086			0.115043	−	0.993361i	$-0.463299\pi$
$967$	7.15490			0.230086			0.115043	+	0.993361i	$0.463299\pi$
$968$	−33.7136	+	84.2125i	−1.08360	+	2.70669i
$969$	1.90078	−	2.38579i	0.0610620	−	0.0766425i
$970$	39.9176	+	38.0614i	1.28168	+	1.22208i
$971$	−10.9421	−	31.6153i	−0.351150	−	1.01458i	−0.972872	−	0.231344i	$-0.925688\pi$
$971$	−10.9421	−	31.6153i	−0.351150	−	1.01458i	0.621722	−	0.783238i	$-0.286433\pi$
$972$	41.7089	+	62.6820i	1.33781	+	2.01053i
$973$	5.18421	+	6.05260i	0.166198	+	0.194038i
$974$	−58.8119	+	26.8585i	−1.88445	+	0.860601i
$975$	−3.57016	+	5.47867i	−0.114337	+	0.175458i
$976$	28.6257	+	1.36361i	0.916287	+	0.0436481i
$977$	−3.51605	−	8.78268i	−0.112488	−	0.280983i	0.861432	−	0.507873i	$-0.169568\pi$
$977$	−3.51605	−	8.78268i	−0.112488	−	0.280983i	−0.973920	+	0.226891i	$0.927144\pi$
$978$	−24.8443	+	3.41160i	−0.794434	+	0.109091i
$979$	33.9616	−	52.8453i	1.08542	−	1.68894i
$980$	71.0110	+	46.7940i	2.26836	+	1.49478i
$981$	24.6498	−	12.3151i	0.787007	−	0.393192i
$982$	−0.731942	−	15.3654i	−0.0233572	−	0.490328i
$983$	2.23897	+	9.22914i	0.0714119	+	0.294364i	0.996307	−	0.0858574i	$-0.0273630\pi$
$983$	2.23897	+	9.22914i	0.0714119	+	0.294364i	−0.924896	+	0.380221i	$0.875848\pi$
$984$	128.518	−	90.2958i	4.09700	−	2.87853i
$985$	20.0858	+	4.87276i	0.639987	+	0.155259i
$986$	44.1446	−	96.6632i	1.40585	−	3.07838i
$987$	6.76183	−	12.7366i	0.215231	−	0.405409i
$988$	4.18256			0.133065
$989$	6.05762	+	2.79208i	0.192621	+	0.0887830i
$990$	−80.6673	+	50.4093i	−2.56378	+	1.60211i
$991$	−46.5960	+	36.6435i	−1.48017	+	1.16402i	−0.531793	+	0.846874i	$0.678482\pi$
$991$	−46.5960	+	36.6435i	−1.48017	+	1.16402i	−0.948377	+	0.317145i	$0.897276\pi$
$992$	−30.6532	−	43.0464i	−0.973241	−	1.36673i
$993$	35.8698	+	18.7807i	1.13829	+	0.595987i
$994$	−20.7093	−	40.7418i	−0.656860	−	1.29225i
$995$	−7.04268	+	23.9852i	−0.223268	+	0.760381i
$996$	−65.4215	+	74.5411i	−2.07296	+	2.36193i
$997$	−4.91123	−	3.49727i	−0.155540	−	0.110760i	0.499637	−	0.866235i	$-0.333467\pi$
$997$	−4.91123	−	3.49727i	−0.155540	−	0.110760i	−0.655177	+	0.755475i	$0.727406\pi$
$998$	74.2899	+	25.7120i	2.35161	+	0.813899i
$999$	−8.31224	+	31.6279i	−0.262988	+	1.00066i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bb.a.26.4	✓	1200
3.2	odd	2	inner	483.2.bb.a.26.57	yes	1200
7.3	odd	6	inner	483.2.bb.a.164.4	yes	1200
21.17	even	6	inner	483.2.bb.a.164.57	yes	1200
23.8	even	11	inner	483.2.bb.a.215.57	yes	1200
69.8	odd	22	inner	483.2.bb.a.215.4	yes	1200
161.31	odd	66	inner	483.2.bb.a.353.57	yes	1200
483.353	even	66	inner	483.2.bb.a.353.4	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.4	✓	1200	1.1	even	1	trivial
483.2.bb.a.26.57	yes	1200	3.2	odd	2	inner
483.2.bb.a.164.4	yes	1200	7.3	odd	6	inner
483.2.bb.a.164.57	yes	1200	21.17	even	6	inner
483.2.bb.a.215.4	yes	1200	69.8	odd	22	inner
483.2.bb.a.215.57	yes	1200	23.8	even	11	inner
483.2.bb.a.353.4	yes	1200	483.353	even	66	inner
483.2.bb.a.353.57	yes	1200	161.31	odd	66	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.bb (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.971305 + 2.42620i) q^{2} +(1.35467 + 1.07929i) q^{3} +(-3.49556 - 3.33301i) q^{4} +(-0.822695 - 2.37702i) q^{5} +(-3.93437 + 2.23840i) q^{6} +(2.00942 - 1.72112i) q^{7} +(6.72732 - 3.07226i) q^{8} +(0.670288 + 2.92416i) q^{9} +O(q^{10})\)	\(q+(-0.971305 + 2.42620i) q^{2} +(1.35467 + 1.07929i) q^{3} +(-3.49556 - 3.33301i) q^{4} +(-0.822695 - 2.37702i) q^{5} +(-3.93437 + 2.23840i) q^{6} +(2.00942 - 1.72112i) q^{7} +(6.72732 - 3.07226i) q^{8} +(0.670288 + 2.92416i) q^{9} +(6.56622 + 0.312788i) q^{10} +(1.79268 + 4.47791i) q^{11} +(-1.13808 - 8.28784i) q^{12} +(1.53810 - 2.39334i) q^{13} +(2.22402 + 6.54698i) q^{14} +(1.45100 - 4.10801i) q^{15} +(0.460025 + 9.65710i) q^{16} +(1.36407 + 5.62277i) q^{17} +(-7.74566 - 1.21400i) q^{18} +(-0.295808 - 0.0717623i) q^{19} +(-5.04685 + 11.0511i) q^{20} +(4.57968 - 0.162821i) q^{21} -12.6055 q^{22} +(0.0167810 - 4.79580i) q^{23} +(12.4292 + 3.09878i) q^{24} +(-1.04314 + 0.820334i) q^{25} +(4.31275 + 6.05641i) q^{26} +(-2.24798 + 4.68472i) q^{27} +(-12.7605 - 0.681135i) q^{28} +(-1.97996 + 6.74314i) q^{29} +(8.55751 + 7.51055i) q^{30} +(4.10934 + 2.92625i) q^{31} +(-9.89912 - 3.42612i) q^{32} +(-2.40443 + 8.00092i) q^{33} +(-14.9669 - 2.15192i) q^{34} +(-5.74427 - 3.36047i) q^{35} +(7.40322 - 12.4556i) q^{36} +(6.17975 - 1.19105i) q^{37} +(0.461430 - 0.647987i) q^{38} +(4.66673 - 1.58214i) q^{39} +(-12.8374 - 13.4634i) q^{40} +(8.02968 - 9.26675i) q^{41} +(-4.05323 + 11.2694i) q^{42} +(-0.577766 + 1.26513i) q^{43} +(8.65846 - 21.6278i) q^{44} +(6.39935 - 3.99898i) q^{45} +(11.6193 + 4.69890i) q^{46} +(1.57337 - 2.72516i) q^{47} +(-9.79958 + 13.5787i) q^{48} +(1.07551 - 6.91688i) q^{49} +(-0.977090 - 3.32766i) q^{50} +(-4.22070 + 9.08925i) q^{51} +(-13.3535 + 3.23953i) q^{52} +(-0.835013 + 1.61970i) q^{53} +(-9.18260 - 10.0043i) q^{54} +(9.16925 - 7.94520i) q^{55} +(8.23026 - 17.7520i) q^{56} +(-0.323272 - 0.416476i) q^{57} +(-14.4371 - 11.3534i) q^{58} +(-0.275736 + 5.78841i) q^{59} +(-18.7641 + 9.52360i) q^{60} +(0.281766 - 2.95079i) q^{61} +(-11.0911 + 7.12782i) q^{62} +(6.37971 + 4.72221i) q^{63} +(5.26506 - 6.07620i) q^{64} +(-6.95441 - 1.68712i) q^{65} +(-17.0764 - 13.6050i) q^{66} +(-9.92417 + 7.80445i) q^{67} +(13.9726 - 24.2012i) q^{68} +(5.19877 - 6.47864i) q^{69} +(13.7326 - 10.6727i) q^{70} +(-6.54253 + 0.940674i) q^{71} +(13.4930 + 17.6125i) q^{72} +(1.09806 - 1.15161i) q^{73} +(-3.11270 + 16.1502i) q^{74} +(-2.29849 - 0.0145591i) q^{75} +(0.794830 + 1.23678i) q^{76} +(11.3092 + 5.91256i) q^{77} +(-0.694219 + 12.8592i) q^{78} +(-3.00097 + 1.54711i) q^{79} +(22.5767 - 9.03834i) q^{80} +(-8.10143 + 3.92006i) q^{81} +(14.6837 + 28.4825i) q^{82} +(-7.76369 - 8.95978i) q^{83} +(-16.5512 - 14.6950i) q^{84} +(12.2432 - 7.86825i) q^{85} +(-2.50828 - 2.63060i) q^{86} +(-9.95997 + 6.99781i) q^{87} +(25.8173 + 24.6167i) q^{88} +(-7.55431 - 10.6086i) q^{89} +(3.48662 + 19.4103i) q^{90} +(-1.02852 - 7.45647i) q^{91} +(-16.0431 + 16.7081i) q^{92} +(2.40857 + 8.39927i) q^{93} +(5.08357 + 6.46428i) q^{94} +(0.0727795 + 0.762181i) q^{95} +(-9.71233 - 15.3252i) q^{96} +(6.34097 + 5.49448i) q^{97} +(15.7371 + 9.32781i) q^{98} +(-11.8925 + 8.24358i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

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