LMFDB - Embedded newform 273.2.cg.b.124.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(19,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 10, 5]))

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

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

chi := DirichletCharacter("273.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cg (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			124.5
Character	$\chi$	$=$	273.124
Dual form			273.2.cg.b.262.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0881329 + 0.328916i) q^{2} -1.00000i q^{3} +(1.63163 + 0.942023i) q^{4} +(0.552877 + 2.06336i) q^{5} +(0.328916 + 0.0881329i) q^{6} +(2.31170 - 1.28688i) q^{7} +(-0.935214 + 0.935214i) q^{8} -1.00000 q^{9} +O(q^{10})$	\(q+(-0.0881329 + 0.328916i) q^{2} -1.00000i q^{3} +(1.63163 + 0.942023i) q^{4} +(0.552877 + 2.06336i) q^{5} +(0.328916 + 0.0881329i) q^{6} +(2.31170 - 1.28688i) q^{7} +(-0.935214 + 0.935214i) q^{8} -1.00000 q^{9} -0.727401 q^{10} +(-0.152673 + 0.152673i) q^{11} +(0.942023 - 1.63163i) q^{12} +(-3.58228 + 0.408976i) q^{13} +(0.219540 + 0.873771i) q^{14} +(2.06336 - 0.552877i) q^{15} +(1.65886 + 2.87323i) q^{16} +(-2.64543 + 4.58202i) q^{17} +(0.0881329 - 0.328916i) q^{18} +(4.54784 - 4.54784i) q^{19} +(-1.04165 + 3.88747i) q^{20} +(-1.28688 - 2.31170i) q^{21} +(-0.0367612 - 0.0636723i) q^{22} +(5.58352 - 3.22365i) q^{23} +(0.935214 + 0.935214i) q^{24} +(0.378328 - 0.218428i) q^{25} +(0.181198 - 1.21432i) q^{26} +1.00000i q^{27} +(4.98411 + 0.0779537i) q^{28} +(1.21453 - 2.10362i) q^{29} +0.727401i q^{30} +(-2.54308 - 0.681417i) q^{31} +(-3.64631 + 0.977025i) q^{32} +(0.152673 + 0.152673i) q^{33} +(-1.27395 - 1.27395i) q^{34} +(3.93339 + 4.05838i) q^{35} +(-1.63163 - 0.942023i) q^{36} +(-3.73291 - 1.00023i) q^{37} +(1.09505 + 1.89667i) q^{38} +(0.408976 + 3.58228i) q^{39} +(-2.44675 - 1.41263i) q^{40} +(-2.28734 - 8.53647i) q^{41} +(0.873771 - 0.219540i) q^{42} +(-4.95359 + 2.85995i) q^{43} +(-0.392928 + 0.105285i) q^{44} +(-0.552877 - 2.06336i) q^{45} +(0.568219 + 2.12062i) q^{46} +(-12.3542 + 3.31031i) q^{47} +(2.87323 - 1.65886i) q^{48} +(3.68787 - 5.94976i) q^{49} +(0.0385014 + 0.143689i) q^{50} +(4.58202 + 2.64543i) q^{51} +(-6.23023 - 2.70729i) q^{52} +(1.97621 + 3.42290i) q^{53} +(-0.328916 - 0.0881329i) q^{54} +(-0.399430 - 0.230611i) q^{55} +(-0.958421 + 3.36544i) q^{56} +(-4.54784 - 4.54784i) q^{57} +(0.584876 + 0.584876i) q^{58} +(-11.8049 + 3.16312i) q^{59} +(3.88747 + 1.04165i) q^{60} -2.81888i q^{61} +(0.448258 - 0.776406i) q^{62} +(-2.31170 + 1.28688i) q^{63} +5.35001i q^{64} +(-2.82443 - 7.16544i) q^{65} +(-0.0636723 + 0.0367612i) q^{66} +(1.19250 + 1.19250i) q^{67} +(-8.63273 + 4.98411i) q^{68} +(-3.22365 - 5.58352i) q^{69} +(-1.68153 + 0.936079i) q^{70} +(0.653910 - 2.44042i) q^{71} +(0.935214 - 0.935214i) q^{72} +(0.00884210 - 0.0329992i) q^{73} +(0.657984 - 1.13966i) q^{74} +(-0.218428 - 0.378328i) q^{75} +(11.7046 - 3.13623i) q^{76} +(-0.156462 + 0.549406i) q^{77} +(-1.21432 - 0.181198i) q^{78} +(7.28296 - 12.6145i) q^{79} +(-5.01138 + 5.01138i) q^{80} +1.00000 q^{81} +3.00938 q^{82} +(7.72303 - 7.72303i) q^{83} +(0.0779537 - 4.98411i) q^{84} +(-10.9170 - 2.92519i) q^{85} +(-0.504112 - 1.88137i) q^{86} +(-2.10362 - 1.21453i) q^{87} -0.285564i q^{88} +(2.16651 - 8.08553i) q^{89} +0.727401 q^{90} +(-7.75484 + 5.55540i) q^{91} +12.1470 q^{92} +(-0.681417 + 2.54308i) q^{93} -4.35526i q^{94} +(11.8983 + 6.86946i) q^{95} +(0.977025 + 3.64631i) q^{96} +(-7.90466 - 2.11805i) q^{97} +(1.63195 + 1.73737i) q^{98} +(0.152673 - 0.152673i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 8 q^{7} - 40 q^{9}+O(q^{10}) $ 40 * q - 8 * q^7 - 40 * q^9	$ 40 q - 8 q^{7} - 40 q^{9} + 4 q^{11} - 24 q^{12} - 18 q^{14} + 32 q^{16} + 4 q^{17} + 14 q^{19} + 14 q^{20} + 2 q^{21} + 4 q^{22} + 12 q^{23} + 24 q^{25} - 32 q^{26} + 16 q^{28} + 8 q^{29} + 14 q^{31} - 26 q^{32} - 4 q^{33} - 24 q^{34} + 26 q^{35} + 36 q^{37} - 8 q^{38} + 18 q^{39} - 30 q^{40} - 2 q^{41} - 66 q^{43} - 32 q^{44} - 26 q^{46} - 4 q^{47} + 24 q^{48} - 14 q^{49} - 20 q^{50} + 2 q^{52} - 8 q^{53} - 42 q^{55} + 46 q^{56} - 14 q^{57} + 24 q^{58} + 14 q^{59} + 2 q^{60} + 24 q^{62} + 8 q^{63} + 28 q^{65} - 18 q^{66} - 44 q^{67} - 18 q^{68} + 4 q^{69} - 4 q^{70} - 6 q^{71} + 14 q^{73} - 20 q^{74} + 24 q^{75} - 64 q^{76} + 24 q^{77} + 8 q^{78} + 20 q^{80} + 40 q^{81} + 48 q^{82} - 12 q^{83} + 22 q^{84} + 2 q^{85} - 60 q^{86} + 18 q^{87} - 2 q^{89} - 14 q^{91} + 236 q^{92} - 8 q^{93} + 24 q^{95} + 16 q^{96} - 62 q^{97} - 88 q^{98} - 4 q^{99}+O(q^{100}) $ 40 * q - 8 * q^7 - 40 * q^9 + 4 * q^11 - 24 * q^12 - 18 * q^14 + 32 * q^16 + 4 * q^17 + 14 * q^19 + 14 * q^20 + 2 * q^21 + 4 * q^22 + 12 * q^23 + 24 * q^25 - 32 * q^26 + 16 * q^28 + 8 * q^29 + 14 * q^31 - 26 * q^32 - 4 * q^33 - 24 * q^34 + 26 * q^35 + 36 * q^37 - 8 * q^38 + 18 * q^39 - 30 * q^40 - 2 * q^41 - 66 * q^43 - 32 * q^44 - 26 * q^46 - 4 * q^47 + 24 * q^48 - 14 * q^49 - 20 * q^50 + 2 * q^52 - 8 * q^53 - 42 * q^55 + 46 * q^56 - 14 * q^57 + 24 * q^58 + 14 * q^59 + 2 * q^60 + 24 * q^62 + 8 * q^63 + 28 * q^65 - 18 * q^66 - 44 * q^67 - 18 * q^68 + 4 * q^69 - 4 * q^70 - 6 * q^71 + 14 * q^73 - 20 * q^74 + 24 * q^75 - 64 * q^76 + 24 * q^77 + 8 * q^78 + 20 * q^80 + 40 * q^81 + 48 * q^82 - 12 * q^83 + 22 * q^84 + 2 * q^85 - 60 * q^86 + 18 * q^87 - 2 * q^89 - 14 * q^91 + 236 * q^92 - 8 * q^93 + 24 * q^95 + 16 * q^96 - 62 * q^97 - 88 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.0881329	+	0.328916i	−0.0623194	+	0.232579i	−0.990060	−	0.140647i	$-0.955082\pi$
$2$	−0.0881329	+	0.328916i	−0.0623194	+	0.232579i	0.927740	+	0.373226i	$0.121748\pi$
$3$		−	1.00000i		−	0.577350i
$3$		−	1.00000i		−	0.577350i
$4$	1.63163	+	0.942023i	0.815816	+	0.471012i
$5$	0.552877	+	2.06336i	0.247254	+	0.922764i	0.972237	+	0.233998i	$0.0751809\pi$
$5$	0.552877	+	2.06336i	0.247254	+	0.922764i	−0.724983	+	0.688767i	$0.758152\pi$
$6$	0.328916	+	0.0881329i	0.134280	+	0.0359801i
$7$	2.31170	−	1.28688i	0.873739	−	0.486395i
$7$	2.31170	−	1.28688i	0.873739	−	0.486395i
$8$	−0.935214	+	0.935214i	−0.330648	+	0.330648i
$9$	−1.00000			−0.333333
$10$	−0.727401			−0.230024
$11$	−0.152673	+	0.152673i	−0.0460327	+	0.0460327i	−0.729748	−	0.683716i	$-0.760363\pi$
$11$	−0.152673	+	0.152673i	−0.0460327	+	0.0460327i	0.683716	+	0.729748i	$0.260363\pi$
$12$	0.942023	−	1.63163i	0.271939	−	0.471012i
$13$	−3.58228	+	0.408976i	−0.993546	+	0.113429i
$13$	−3.58228	+	0.408976i	−0.993546	+	0.113429i
$14$	0.219540	+	0.873771i	0.0586745	+	0.233525i
$15$	2.06336	−	0.552877i	0.532758	−	0.142752i
$16$	1.65886	+	2.87323i	0.414716	+	0.718308i
$17$	−2.64543	+	4.58202i	−0.641610	+	1.11130i	0.343463	+	0.939166i	$0.388400\pi$
$17$	−2.64543	+	4.58202i	−0.641610	+	1.11130i	−0.985073	+	0.172136i	$0.944933\pi$
$18$	0.0881329	−	0.328916i	0.0207731	−	0.0775263i
$19$	4.54784	−	4.54784i	1.04335	−	1.04335i	0.0443299	−	0.999017i	$-0.485885\pi$
$19$	4.54784	−	4.54784i	1.04335	−	1.04335i	0.999017	−	0.0443299i	$-0.0141153\pi$
$20$	−1.04165	+	3.88747i	−0.232919	+	0.869266i
$21$	−1.28688	−	2.31170i	−0.280821	−	0.504453i
$22$	−0.0367612	−	0.0636723i	−0.00783752	−	0.0135750i
$23$	5.58352	−	3.22365i	1.16424	−	0.672177i	0.211927	−	0.977286i	$-0.432026\pi$
$23$	5.58352	−	3.22365i	1.16424	−	0.672177i	0.952318	+	0.305109i	$0.0986928\pi$
$24$	0.935214	+	0.935214i	0.190900	+	0.190900i
$25$	0.378328	−	0.218428i	0.0756657	−	0.0436856i
$26$	0.181198	−	1.21432i	0.0355359	−	0.238147i
$27$			1.00000i			0.192450i
$28$	4.98411	+	0.0779537i	0.941908	+	0.0147319i
$29$	1.21453	−	2.10362i	0.225532	−	0.390633i	−0.730947	−	0.682434i	$-0.760921\pi$
$29$	1.21453	−	2.10362i	0.225532	−	0.390633i	0.956479	+	0.291801i	$0.0942546\pi$
$30$			0.727401i			0.132805i
$31$	−2.54308	−	0.681417i	−0.456751	−	0.122386i	0.0231055	−	0.999733i	$-0.492645\pi$
$31$	−2.54308	−	0.681417i	−0.456751	−	0.122386i	−0.479857	+	0.877347i	$0.659311\pi$
$32$	−3.64631	+	0.977025i	−0.644582	+	0.172715i
$33$	0.152673	+	0.152673i	0.0265770	+	0.0265770i
$34$	−1.27395	−	1.27395i	−0.218481	−	0.218481i
$35$	3.93339	+	4.05838i	0.664864	+	0.685992i
$36$	−1.63163	−	0.942023i	−0.271939	−	0.157004i
$37$	−3.73291	−	1.00023i	−0.613687	−	0.164437i	−0.0614306	−	0.998111i	$-0.519566\pi$
$37$	−3.73291	−	1.00023i	−0.613687	−	0.164437i	−0.552256	+	0.833674i	$0.686233\pi$
$38$	1.09505	+	1.89667i	0.177640	+	0.307681i
$39$	0.408976	+	3.58228i	0.0654885	+	0.573624i
$40$	−2.44675	−	1.41263i	−0.386865	−	0.223356i
$41$	−2.28734	−	8.53647i	−0.357223	−	1.33317i	−0.877664	−	0.479276i	$-0.840899\pi$
$41$	−2.28734	−	8.53647i	−0.357223	−	1.33317i	0.520442	−	0.853897i	$-0.325767\pi$
$42$	0.873771	−	0.219540i	0.134826	−	0.0338758i
$43$	−4.95359	+	2.85995i	−0.755415	+	0.436139i	−0.827647	−	0.561249i	$-0.810321\pi$
$43$	−4.95359	+	2.85995i	−0.755415	+	0.436139i	0.0722323	+	0.997388i	$0.476988\pi$
$44$	−0.392928	+	0.105285i	−0.0592362	+	0.0158723i
$45$	−0.552877	−	2.06336i	−0.0824180	−	0.307588i
$46$	0.568219	+	2.12062i	0.0837793	+	0.312668i
$47$	−12.3542	+	3.31031i	−1.80205	+	0.482858i	−0.994296	−	0.106659i	$-0.965985\pi$
$47$	−12.3542	+	3.31031i	−1.80205	+	0.482858i	−0.807756	+	0.589518i	$0.799318\pi$
$48$	2.87323	−	1.65886i	0.414716	−	0.239436i
$49$	3.68787	−	5.94976i	0.526839	−	0.849965i
$50$	0.0385014	+	0.143689i	0.00544492	+	0.0203207i
$51$	4.58202	+	2.64543i	0.641610	+	0.370434i
$52$	−6.23023	−	2.70729i	−0.863977	−	0.375434i
$53$	1.97621	+	3.42290i	0.271453	+	0.470171i	0.969234	−	0.246140i	$-0.0791624\pi$
$53$	1.97621	+	3.42290i	0.271453	+	0.470171i	−0.697781	+	0.716311i	$0.745829\pi$
$54$	−0.328916	−	0.0881329i	−0.0447599	−	0.0119934i
$55$	−0.399430	−	0.230611i	−0.0538591	−	0.0310956i
$56$	−0.958421	+	3.36544i	−0.128074	+	0.449726i
$57$	−4.54784	−	4.54784i	−0.602377	−	0.602377i
$58$	0.584876	+	0.584876i	0.0767980	+	0.0767980i
$59$	−11.8049	+	3.16312i	−1.53687	+	0.411803i	−0.925252	−	0.379352i	$-0.876147\pi$
$59$	−11.8049	+	3.16312i	−1.53687	+	0.411803i	−0.611616	+	0.791155i	$0.709480\pi$
$60$	3.88747	+	1.04165i	0.501871	+	0.134476i
$61$		−	2.81888i		−	0.360921i	−0.983582	−	0.180461i	$-0.942241\pi$
$61$		−	2.81888i		−	0.360921i	0.983582	−	0.180461i	$-0.0577588\pi$
$62$	0.448258	−	0.776406i	0.0569289	−	0.0986037i
$63$	−2.31170	+	1.28688i	−0.291246	+	0.162132i
$64$			5.35001i			0.668751i
$65$	−2.82443	−	7.16544i	−0.350327	−	0.888763i
$66$	−0.0636723	+	0.0367612i	−0.00783752	+	0.00452499i
$67$	1.19250	+	1.19250i	0.145687	+	0.145687i	0.776188	−	0.630501i	$-0.217151\pi$
$67$	1.19250	+	1.19250i	0.145687	+	0.145687i	−0.630501	+	0.776188i	$0.717151\pi$
$68$	−8.63273	+	4.98411i	−1.04687	+	0.604412i
$69$	−3.22365	−	5.58352i	−0.388081	−	0.672177i
$70$	−1.68153	+	0.936079i	−0.200981	+	0.111883i
$71$	0.653910	−	2.44042i	0.0776048	−	0.289625i	−0.916207	−	0.400706i	$-0.868765\pi$
$71$	0.653910	−	2.44042i	0.0776048	−	0.289625i	0.993811	+	0.111081i	$0.0354314\pi$
$72$	0.935214	−	0.935214i	0.110216	−	0.110216i
$73$	0.00884210	−	0.0329992i	0.00103489	−	0.00386226i	−0.965406	−	0.260750i	$-0.916030\pi$
$73$	0.00884210	−	0.0329992i	0.00103489	−	0.00386226i	0.966441	+	0.256887i	$0.0826970\pi$
$74$	0.657984	−	1.13966i	0.0764891	−	0.132483i
$75$	−0.218428	−	0.378328i	−0.0252219	−	0.0436856i
$76$	11.7046	−	3.13623i	1.34261	−	0.359751i
$77$	−0.156462	+	0.549406i	−0.0178305	+	0.0626107i
$78$	−1.21432	−	0.181198i	−0.137494	−	0.0205166i
$79$	7.28296	−	12.6145i	0.819397	−	1.41924i	−0.0867294	−	0.996232i	$-0.527642\pi$
$79$	7.28296	−	12.6145i	0.819397	−	1.41924i	0.906127	−	0.423006i	$-0.139025\pi$
$80$	−5.01138	+	5.01138i	−0.560289	+	0.560289i
$81$	1.00000			0.111111
$82$	3.00938			0.332330
$83$	7.72303	−	7.72303i	0.847713	−	0.847713i	−0.142135	−	0.989847i	$-0.545397\pi$
$83$	7.72303	−	7.72303i	0.847713	−	0.847713i	0.989847	+	0.142135i	$0.0453967\pi$
$84$	0.0779537	−	4.98411i	0.00850545	−	0.543811i
$85$	−10.9170	−	2.92519i	−1.18411	−	0.317282i
$86$	−0.504112	−	1.88137i	−0.0543598	−	0.202874i
$87$	−2.10362	−	1.21453i	−0.225532	−	0.130211i
$88$		−	0.285564i		−	0.0304413i
$89$	2.16651	−	8.08553i	0.229650	−	0.857064i	−0.750838	−	0.660486i	$-0.770350\pi$
$89$	2.16651	−	8.08553i	0.229650	−	0.857064i	0.980488	−	0.196578i	$-0.0629830\pi$
$90$	0.727401			0.0766748
$91$	−7.75484	+	5.55540i	−0.812928	+	0.582364i
$92$	12.1470			1.26641
$93$	−0.681417	+	2.54308i	−0.0706596	+	0.263705i
$94$		−	4.35526i		−	0.449211i
$95$	11.8983	+	6.86946i	1.22074	+	0.704792i
$96$	0.977025	+	3.64631i	0.0997172	+	0.372150i
$97$	−7.90466	−	2.11805i	−0.802596	−	0.215055i	−0.165873	−	0.986147i	$-0.553044\pi$
$97$	−7.90466	−	2.11805i	−0.802596	−	0.215055i	−0.636724	+	0.771092i	$0.719711\pi$
$98$	1.63195	+	1.73737i	0.164852	+	0.175501i
$99$	0.152673	−	0.152673i	0.0153442	−	0.0153442i
$100$	0.823057			0.0823057
$101$	4.02951			0.400952			0.200476	−	0.979699i	$-0.435751\pi$
$101$	4.02951			0.400952			0.200476	+	0.979699i	$0.435751\pi$
$102$	−1.27395	+	1.27395i	−0.126140	+	0.126140i
$103$	−4.03742	+	6.99302i	−0.397819	+	0.689042i	−0.993457	−	0.114211i	$-0.963566\pi$
$103$	−4.03742	+	6.99302i	−0.397819	+	0.689042i	0.595638	+	0.803253i	$0.296899\pi$
$104$	2.96772	−	3.73268i	0.291009	−	0.366019i
$105$	4.05838	−	3.93339i	0.396058	−	0.383859i
$106$	−1.30002	+	0.348338i	−0.126269	+	0.0338336i
$107$	−0.829137	−	1.43611i	−0.0801557	−	0.138834i	0.823161	−	0.567808i	$-0.192208\pi$
$107$	−0.829137	−	1.43611i	−0.0801557	−	0.138834i	−0.903317	+	0.428974i	$0.858875\pi$
$108$	−0.942023	+	1.63163i	−0.0906462	+	0.157004i
$109$	−3.75767	+	14.0238i	−0.359919	+	1.34324i	0.514260	+	0.857634i	$0.328066\pi$
$109$	−3.75767	+	14.0238i	−0.359919	+	1.34324i	−0.874180	+	0.485603i	$0.838600\pi$
$110$	0.111055	−	0.111055i	0.0105886	−	0.0105886i
$111$	−1.00023	+	3.73291i	−0.0949377	+	0.354312i
$112$	7.53230	+	4.50728i	0.711735	+	0.425898i
$113$	−4.98592	−	8.63586i	−0.469035	−	0.812393i	0.530338	−	0.847786i	$-0.322065\pi$
$113$	−4.98592	−	8.63586i	−0.469035	−	0.812393i	−0.999373	+	0.0353931i	$0.988732\pi$
$114$	1.89667	−	1.09505i	0.177640	−	0.102560i
$115$	9.73856	+	9.73856i	0.908125	+	0.908125i
$116$	3.96332	−	2.28823i	0.367985	−	0.212456i
$117$	3.58228	−	0.408976i	0.331182	−	0.0378098i
$118$		−	4.16160i		−	0.383107i
$119$	−0.218913	+	13.9966i	−0.0200677	+	1.28306i
$120$	−1.41263	+	2.44675i	−0.128955	+	0.223356i
$121$			10.9534i			0.995762i
$122$	0.927177	+	0.248436i	0.0839427	+	0.0224924i
$123$	−8.53647	+	2.28734i	−0.769708	+	0.206243i
$124$	−3.50746	−	3.50746i	−0.314980	−	0.314980i
$125$	8.21230	+	8.21230i	0.734531	+	0.734531i
$126$	−0.219540	−	0.873771i	−0.0195582	−	0.0778417i
$127$	9.38039	+	5.41577i	0.832375	+	0.480572i	0.854665	−	0.519180i	$-0.173762\pi$
$127$	9.38039	+	5.41577i	0.832375	+	0.480572i	−0.0222902	+	0.999752i	$0.507096\pi$
$128$	−9.05232	−	2.42556i	−0.800120	−	0.214391i
$129$	2.85995	+	4.95359i	0.251805	+	0.436139i
$130$	2.60575	−	0.297489i	0.228540	−	0.0260915i
$131$	3.26946	+	1.88762i	0.285654	+	0.164923i	0.635980	−	0.771705i	$-0.280596\pi$
$131$	3.26946	+	1.88762i	0.285654	+	0.164923i	−0.350326	+	0.936628i	$0.613929\pi$
$132$	0.105285	+	0.392928i	0.00916387	+	0.0342000i
$133$	4.66069	−	16.3658i	0.404133	−	1.41909i
$134$	−0.497332	+	0.287135i	−0.0429629	+	0.0248047i
$135$	−2.06336	+	0.552877i	−0.177586	+	0.0475841i
$136$	−1.81112	−	6.75921i	−0.155303	−	0.579597i
$137$	2.59542	+	9.68624i	0.221742	+	0.827551i	0.983684	+	0.179906i	$0.0575794\pi$
$137$	2.59542	+	9.68624i	0.221742	+	0.827551i	−0.761942	+	0.647645i	$0.775754\pi$
$138$	2.12062	−	0.568219i	0.180519	−	0.0483700i
$139$	−6.84211	+	3.95030i	−0.580341	+	0.335060i	−0.761269	−	0.648437i	$-0.775423\pi$
$139$	−6.84211	+	3.95030i	−0.580341	+	0.335060i	0.180928	+	0.983496i	$0.442090\pi$
$140$	2.59475	+	10.3271i	0.219296	+	0.872802i
$141$	3.31031	+	12.3542i	0.278778	+	1.04041i
$142$	0.745064	+	0.430163i	0.0625244	+	0.0360985i
$143$	0.484479	−	0.609358i	0.0405142	−	0.0509571i
$144$	−1.65886	−	2.87323i	−0.138239	−	0.239436i
$145$	5.01202	+	1.34297i	0.416226	+	0.111527i
$146$	0.0100747	+	0.00581662i	0.000833787	+	0.000481387i
$147$	−5.94976	−	3.68787i	−0.490728	−	0.304171i
$148$	−5.14850	−	5.14850i	−0.423204	−	0.423204i
$149$	−13.7556	−	13.7556i	−1.12690	−	1.12690i	−0.990678	−	0.136227i	$-0.956502\pi$
$149$	−13.7556	−	13.7556i	−1.12690	−	1.12690i	−0.136227	−	0.990678i	$-0.543498\pi$
$150$	0.143689	−	0.0385014i	0.0117322	−	0.00314362i
$151$	6.25347	+	1.67561i	0.508901	+	0.136359i	0.504128	−	0.863629i	$-0.331814\pi$
$151$	6.25347	+	1.67561i	0.508901	+	0.136359i	0.00477282	+	0.999989i	$0.498481\pi$
$152$			8.50642i			0.689962i
$153$	2.64543	−	4.58202i	0.213870	−	0.370434i
$154$	−0.166919	−	0.0998836i	−0.0134507	−	0.00804885i
$155$		−	5.62404i		−	0.451734i
$156$	−2.70729	+	6.23023i	−0.216757	+	0.498818i
$157$	−15.7032	+	9.06627i	−1.25325	+	0.723567i	−0.971754	−	0.235994i	$-0.924165\pi$
$157$	−15.7032	+	9.06627i	−1.25325	+	0.723567i	−0.281500	+	0.959561i	$0.590832\pi$
$158$	3.50724	+	3.50724i	0.279021	+	0.279021i
$159$	3.42290	−	1.97621i	0.271453	−	0.156724i
$160$	−4.03192	−	6.98349i	−0.318751	−	0.552093i
$161$	8.75895	−	14.6374i	0.690302	−	1.15359i
$162$	−0.0881329	+	0.328916i	−0.00692437	+	0.0258421i
$163$	−6.57416	+	6.57416i	−0.514928	+	0.514928i	−0.916032	−	0.401104i	$-0.868627\pi$
$163$	−6.57416	+	6.57416i	−0.514928	+	0.514928i	0.401104	+	0.916032i	$0.368627\pi$
$164$	4.30946	−	16.0831i	0.336512	−	1.25588i
$165$	−0.230611	+	0.399430i	−0.0179530	+	0.0310956i
$166$	1.85958	+	3.22088i	0.144331	+	0.249989i
$167$	12.7473	−	3.41564i	0.986418	−	0.264310i	0.270673	−	0.962671i	$-0.412754\pi$
$167$	12.7473	−	3.41564i	0.986418	−	0.264310i	0.715745	+	0.698361i	$0.246087\pi$
$168$	3.36544	+	0.958421i	0.259649	+	0.0739438i
$169$	12.6655	−	2.93013i	0.974268	−	0.225395i
$170$	1.92429	−	3.33296i	0.147586	−	0.255627i
$171$	−4.54784	+	4.54784i	−0.347782	+	0.347782i
$172$	−10.7766			−0.821706
$173$	9.14892			0.695579			0.347790	−	0.937573i	$-0.386932\pi$
$173$	9.14892			0.695579			0.347790	+	0.937573i	$0.386932\pi$
$174$	0.584876	−	0.584876i	0.0443394	−	0.0443394i
$175$	0.593489	−	0.991802i	0.0448635	−	0.0749732i
$176$	−0.691930	−	0.185402i	−0.0521562	−	0.0139752i
$177$	3.16312	+	11.8049i	0.237754	+	0.887311i
$178$	2.46852	+	1.42520i	0.185024	+	0.106823i
$179$			0.705145i			0.0527050i	0.999653	+	0.0263525i	$0.00838924\pi$
$179$			0.705145i			0.0527050i	−0.999653	+	0.0263525i	$0.991611\pi$
$180$	1.04165	−	3.88747i	0.0776397	−	0.289755i
$181$	23.5361			1.74942			0.874712	−	0.484644i	$-0.161051\pi$
$181$	23.5361			1.74942			0.874712	+	0.484644i	$0.161051\pi$
$182$	−1.14381	−	3.04031i	−0.0847845	−	0.225363i
$183$	−2.81888			−0.208378
$184$	−2.20699	+	8.23659i	−0.162701	+	0.607209i
$185$		−	8.25536i		−	0.606946i
$186$	−0.776406	−	0.448258i	−0.0569289	−	0.0328679i
$187$	−0.295665	−	1.10344i	−0.0216212	−	0.0806913i
$188$	−23.2760	−	6.23678i	−1.69757	−	0.454864i
$189$	1.28688	+	2.31170i	0.0936069	+	0.168151i
$190$	−3.30811	+	3.30811i	−0.239995	+	0.239995i
$191$	22.6326			1.63764			0.818820	−	0.574050i	$-0.194628\pi$
$191$	22.6326			1.63764			0.818820	+	0.574050i	$0.194628\pi$
$192$	5.35001			0.386104
$193$	−4.84211	+	4.84211i	−0.348543	+	0.348543i	−0.859566	−	0.511024i	$-0.829266\pi$
$193$	−4.84211	+	4.84211i	−0.348543	+	0.348543i	0.511024	+	0.859566i	$0.329266\pi$
$194$	1.39332	−	2.41330i	0.100035	−	0.173265i
$195$	−7.16544	+	2.82443i	−0.513128	+	0.202261i
$196$	11.6221	−	6.23375i	0.830147	−	0.445268i
$197$	6.28236	−	1.68335i	0.447599	−	0.119934i	−0.0279766	−	0.999609i	$-0.508906\pi$
$197$	6.28236	−	1.68335i	0.447599	−	0.119934i	0.475576	+	0.879675i	$0.342240\pi$
$198$	0.0367612	+	0.0636723i	0.00261251	+	0.00452499i
$199$	−8.68220	+	15.0380i	−0.615465	+	1.06602i	0.374838	+	0.927090i	$0.377698\pi$
$199$	−8.68220	+	15.0380i	−0.615465	+	1.06602i	−0.990303	+	0.138926i	$0.955635\pi$
$200$	−0.149541	+	0.558095i	−0.0105742	+	0.0394633i
$201$	1.19250	−	1.19250i	0.0841126	−	0.0841126i
$202$	−0.355133	+	1.32537i	−0.0249870	+	0.0932529i
$203$	0.100504	−	6.42589i	0.00705398	−	0.451009i
$204$	4.98411	+	8.63273i	0.348957	+	0.604412i
$205$	16.3492	−	9.43923i	1.14188	−	0.659265i
$206$	−1.94429	−	1.94429i	−0.135465	−	0.135465i
$207$	−5.58352	+	3.22365i	−0.388081	+	0.224059i
$208$	−7.11759	−	9.61430i	−0.493516	−	0.666632i
$209$			1.38867i			0.0960562i
$210$	0.936079	+	1.68153i	0.0645956	+	0.116037i
$211$	−10.4129	+	18.0356i	−0.716853	+	1.24163i	0.245388	+	0.969425i	$0.421085\pi$
$211$	−10.4129	+	18.0356i	−0.716853	+	1.24163i	−0.962241	+	0.272200i	$0.912249\pi$
$212$			7.44655i			0.511431i
$213$	−2.44042	−	0.653910i	−0.167215	−	0.0448051i
$214$	0.545434	−	0.146149i	0.0372851	−	0.00999051i
$215$	−8.63985	−	8.63985i	−0.589233	−	0.589233i
$216$	−0.935214	−	0.935214i	−0.0636333	−	0.0636333i
$217$	−6.75574	+	1.69742i	−0.458609	+	0.115228i
$218$	−4.28148	−	2.47192i	−0.289979	−	0.167419i
$219$	−0.0329992	−	0.00884210i	−0.00222988	−	0.000597494i
$220$	−0.434482	−	0.752545i	−0.0292928	−	0.0507366i
$221$	7.60273	−	17.4960i	0.511415	−	1.17691i
$222$	−1.13966	−	0.657984i	−0.0764891	−	0.0441610i
$223$	0.788580	+	2.94302i	0.0528072	+	0.197079i	0.987290	−	0.158929i	$-0.0508041\pi$
$223$	0.788580	+	2.94302i	0.0528072	+	0.197079i	−0.934483	+	0.356008i	$0.884137\pi$
$224$	−7.17184	+	6.95095i	−0.479188	+	0.464430i
$225$	−0.378328	+	0.218428i	−0.0252219	+	0.0145619i
$226$	3.27990	−	0.878846i	0.218176	−	0.0584600i
$227$	−3.45080	−	12.8785i	−0.229037	−	0.854779i	−0.980747	−	0.195285i	$-0.937437\pi$
$227$	−3.45080	−	12.8785i	−0.229037	−	0.854779i	0.751709	−	0.659495i	$-0.229230\pi$
$228$	−3.13623	−	11.7046i	−0.207702	−	0.775155i
$229$	5.93427	−	1.59008i	0.392147	−	0.105076i	−0.0573569	−	0.998354i	$-0.518267\pi$
$229$	5.93427	−	1.59008i	0.392147	−	0.105076i	0.449504	+	0.893278i	$0.351601\pi$
$230$	−4.06146	+	2.34488i	−0.267805	+	0.154617i
$231$	0.549406	+	0.156462i	0.0361483	+	0.0102944i
$232$	0.831495	+	3.10318i	0.0545903	+	0.203734i
$233$	−21.5583	−	12.4467i	−1.41233	−	0.815410i	−0.416723	−	0.909033i	$-0.636822\pi$
$233$	−21.5583	−	12.4467i	−1.41233	−	0.815410i	−0.995608	+	0.0936239i	$0.970155\pi$
$234$	−0.181198	+	1.21432i	−0.0118453	+	0.0793823i
$235$	−13.6607	−	23.6611i	−0.891129	−	1.54348i
$236$	−22.2410	−	5.95946i	−1.44777	−	0.387928i
$237$	−12.6145	−	7.28296i	−0.819397	−	0.473079i
$238$	−4.58441	−	1.30556i	−0.297163	−	0.0846271i
$239$	5.18666	+	5.18666i	0.335497	+	0.335497i	0.854669	−	0.519173i	$-0.173760\pi$
$239$	5.18666	+	5.18666i	0.335497	+	0.335497i	−0.519173	+	0.854669i	$0.673760\pi$
$240$	5.01138	+	5.01138i	0.323483	+	0.323483i
$241$	21.0369	−	5.63681i	1.35510	−	0.363099i	0.493088	−	0.869979i	$-0.335868\pi$
$241$	21.0369	−	5.63681i	1.35510	−	0.363099i	0.862016	+	0.506880i	$0.169201\pi$
$242$	−3.60275	−	0.965353i	−0.231593	−	0.0620552i
$243$		−	1.00000i		−	0.0641500i
$244$	2.65545	−	4.59938i	0.169998	−	0.294445i
$245$	14.3155	+	4.31994i	0.914581	+	0.275991i
$246$		−	3.00938i		−	0.191871i
$247$	−14.4317	+	18.1516i	−0.918267	+	1.15496i
$248$	3.01560	−	1.74106i	0.191491	−	0.110557i
$249$	−7.72303	−	7.72303i	−0.489427	−	0.489427i
$250$	−3.42493	+	1.97739i	−0.216612	+	0.125061i
$251$	12.8354	+	22.2316i	0.810166	+	1.40325i	0.912748	+	0.408524i	$0.133956\pi$
$251$	12.8354	+	22.2316i	0.810166	+	1.40325i	−0.102582	+	0.994725i	$0.532710\pi$
$252$	−4.98411	−	0.0779537i	−0.313969	−	0.00491062i
$253$	−0.360290	+	1.34462i	−0.0226512	+	0.0845355i
$254$	−2.60806	+	2.60806i	−0.163644	+	0.163644i
$255$	−2.92519	+	10.9170i	−0.183183	+	0.683647i
$256$	−3.75440	+	6.50281i	−0.234650	+	0.406425i
$257$	−0.192454	−	0.333340i	−0.0120050	−	0.0207932i	0.859961	−	0.510361i	$-0.170488\pi$
$257$	−0.192454	−	0.333340i	−0.0120050	−	0.0207932i	−0.871965	+	0.489567i	$0.837155\pi$
$258$	−1.88137	+	0.504112i	−0.117129	+	0.0313846i
$259$	−9.91653	+	2.49159i	−0.616183	+	0.154820i
$260$	2.14159	−	14.3520i	0.132815	−	0.890075i
$261$	−1.21453	+	2.10362i	−0.0751774	+	0.130211i
$262$	−0.909018	+	0.909018i	−0.0561593	+	0.0561593i
$263$	28.5352			1.75956			0.879778	−	0.475384i	$-0.157691\pi$
$263$	28.5352			1.75956			0.879778	+	0.475384i	$0.157691\pi$
$264$	−0.285564			−0.0175753
$265$	−5.97008	+	5.97008i	−0.366739	+	0.366739i
$266$	4.97221	+	2.97534i	0.304866	+	0.182430i
$267$	−8.08553	−	2.16651i	−0.494826	−	0.132588i
$268$	0.822360	+	3.06909i	0.0502336	+	0.187474i
$269$	−7.67354	−	4.43032i	−0.467864	−	0.270122i	0.247481	−	0.968893i	$-0.420397\pi$
$269$	−7.67354	−	4.43032i	−0.467864	−	0.270122i	−0.715345	+	0.698771i	$0.753731\pi$
$270$		−	0.727401i		−	0.0442682i
$271$	1.22324	−	4.56519i	0.0743065	−	0.277316i	−0.918769	−	0.394796i	$-0.870815\pi$
$271$	1.22324	−	4.56519i	0.0743065	−	0.277316i	0.993075	+	0.117481i	$0.0374818\pi$
$272$	−17.5536			−1.06434
$273$	5.55540	+	7.75484i	0.336228	+	0.469344i
$274$	−3.41471			−0.206290
$275$	−0.0244125	+	0.0911087i	−0.00147213	+	0.00549406i
$276$		−	12.1470i		−	0.731164i
$277$	−14.8649	−	8.58226i	−0.893146	−	0.515658i	−0.0181754	−	0.999835i	$-0.505786\pi$
$277$	−14.8649	−	8.58226i	−0.893146	−	0.515658i	−0.874970	+	0.484177i	$0.839119\pi$
$278$	−0.696302	−	2.59863i	−0.0417614	−	0.155856i
$279$	2.54308	+	0.681417i	0.152250	+	0.0407954i
$280$	−7.47402	−	0.116897i	−0.446658	−	0.00698593i
$281$	−4.65266	+	4.65266i	−0.277554	+	0.277554i	−0.832132	−	0.554578i	$-0.812880\pi$
$281$	−4.65266	+	4.65266i	−0.277554	+	0.277554i	0.554578	+	0.832132i	$0.312880\pi$
$282$	−4.35526			−0.259352
$283$	1.06549			0.0633371			0.0316685	−	0.999498i	$-0.489918\pi$
$283$	1.06549			0.0633371			0.0316685	+	0.999498i	$0.489918\pi$
$284$	3.36588	−	3.36588i	0.199728	−	0.199728i
$285$	6.86946	−	11.8983i	0.406912	−	0.704792i
$286$	0.157729	+	0.213058i	0.00932673	+	0.0125984i
$287$	−16.2731	−	16.7902i	−0.960568	−	0.991093i
$288$	3.64631	−	0.977025i	0.214861	−	0.0575718i
$289$	−5.49658	−	9.52035i	−0.323328	−	0.560021i
$290$	−0.883448	+	1.53018i	−0.0518779	+	0.0898551i
$291$	−2.11805	+	7.90466i	−0.124162	+	0.463379i
$292$	0.0455130	−	0.0455130i	0.00266345	−	0.00266345i
$293$	−6.15816	+	22.9825i	−0.359763	+	1.34265i	0.514620	+	0.857418i	$0.327933\pi$
$293$	−6.15816	+	22.9825i	−0.359763	+	1.34265i	−0.874383	+	0.485236i	$0.838734\pi$
$294$	1.73737	−	1.63195i	0.101326	−	0.0951772i
$295$	−13.0533	−	22.6090i	−0.759994	−	1.31635i
$296$	4.42650	−	2.55564i	0.257285	−	0.148544i
$297$	−0.152673	−	0.152673i	−0.00885900	−	0.00885900i
$298$	5.73677	−	3.31213i	0.332322	−	0.191866i
$299$	−18.6833	+	13.8315i	−1.08049	+	0.799898i
$300$		−	0.823057i		−	0.0475192i
$301$	−7.77076	+	12.9860i	−0.447899	+	0.748502i
$302$	−1.10227	+	1.90919i	−0.0634287	+	0.109862i
$303$		−	4.02951i		−	0.231490i
$304$	20.6113	+	5.52277i	1.18214	+	0.316753i
$305$	5.81638	−	1.55850i	0.333045	−	0.0892392i
$306$	1.27395	+	1.27395i	0.0728269	+	0.0728269i
$307$	−0.432841	−	0.432841i	−0.0247035	−	0.0247035i	0.694647	−	0.719351i	$-0.255561\pi$
$307$	−0.432841	−	0.432841i	−0.0247035	−	0.0247035i	−0.719351	+	0.694647i	$0.755561\pi$
$308$	−0.772842	+	0.749039i	−0.0440367	+	0.0426804i
$309$	6.99302	+	4.03742i	0.397819	+	0.229681i
$310$	1.84984	+	0.495663i	0.105064	+	0.0281518i
$311$	10.0256	+	17.3648i	0.568499	+	0.984669i	0.996715	+	0.0809925i	$0.0258090\pi$
$311$	10.0256	+	17.3648i	0.568499	+	0.984669i	−0.428216	+	0.903677i	$0.640858\pi$
$312$	−3.73268	−	2.96772i	−0.211321	−	0.168014i
$313$	21.8176	+	12.5964i	1.23320	+	0.711989i	0.967696	−	0.252120i	$-0.0811277\pi$
$313$	21.8176	+	12.5964i	1.23320	+	0.711989i	0.265506	+	0.964109i	$0.414461\pi$
$314$	−1.59807	−	5.96409i	−0.0901845	−	0.336573i
$315$	−3.93339	−	4.05838i	−0.221621	−	0.228664i
$316$	23.7662	−	13.7214i	1.33696	−	0.771891i
$317$	−3.93015	+	1.05308i	−0.220739	+	0.0591469i	−0.367494	−	0.930026i	$-0.619784\pi$
$317$	−3.93015	+	1.05308i	−0.220739	+	0.0591469i	0.146754	+	0.989173i	$0.453117\pi$
$318$	0.348338	+	1.30002i	0.0195338	+	0.0729013i
$319$	0.135741	+	0.506593i	0.00760004	+	0.0283638i
$320$	−11.0390	+	2.95790i	−0.617100	+	0.165351i
$321$	−1.43611	+	0.829137i	−0.0801557	+	0.0462779i
$322$	4.04254	+	4.17100i	0.225282	+	0.232441i
$323$	8.80730	+	32.8693i	0.490051	+	1.82890i
$324$	1.63163	+	0.942023i	0.0906462	+	0.0523346i
$325$	−1.26595	+	0.937197i	−0.0702221	+	0.0519864i
$326$	−1.58295	−	2.74175i	−0.0876715	−	0.151852i
$327$	14.0238	+	3.75767i	0.775518	+	0.207799i
$328$	10.1226	+	5.84428i	0.558926	+	0.322696i
$329$	−24.2993	+	23.5509i	−1.33966	+	1.29840i
$330$	−0.111055	−	0.111055i	−0.00611336	−	0.00611336i
$331$	−0.241595	−	0.241595i	−0.0132793	−	0.0132793i	0.700436	−	0.713715i	$-0.252989\pi$
$331$	−0.241595	−	0.241595i	−0.0132793	−	0.0132793i	−0.713715	+	0.700436i	$0.752989\pi$
$332$	19.8764	−	5.32587i	1.09086	−	0.292295i
$333$	3.73291	+	1.00023i	0.204562	+	0.0548123i
$334$			4.49384i			0.245892i
$335$	−1.80126	+	3.11987i	−0.0984133	+	0.170457i
$336$	4.50728	−	7.53230i	0.245892	−	0.410920i
$337$		−	9.04153i		−	0.492524i	−0.969203	−	0.246262i	$-0.920798\pi$
$337$		−	9.04153i		−	0.492524i	0.969203	−	0.246262i	$-0.0792023\pi$
$338$	−0.152477	+	4.42412i	−0.00829365	+	0.240641i
$339$	−8.63586	+	4.98592i	−0.469035	+	0.270798i
$340$	−15.0569	−	15.0569i	−0.816573	−	0.816573i
$341$	0.492295	−	0.284227i	0.0266593	−	0.0153917i
$342$	−1.09505	−	1.89667i	−0.0592133	−	0.102560i
$343$	0.868606	−	18.4999i	0.0469003	−	0.998900i
$344$	1.95799	−	7.30734i	0.105568	−	0.393985i
$345$	9.73856	−	9.73856i	0.524306	−	0.524306i
$346$	−0.806320	+	3.00923i	−0.0433481	+	0.161777i
$347$	−0.624577	+	1.08180i	−0.0335290	+	0.0580740i	−0.882303	−	0.470682i	$-0.844008\pi$
$347$	−0.624577	+	1.08180i	−0.0335290	+	0.0580740i	0.848774	+	0.528756i	$0.177341\pi$
$348$	−2.28823	−	3.96332i	−0.122662	−	0.212456i
$349$	−18.3142	+	4.90729i	−0.980339	+	0.262681i	−0.713187	−	0.700973i	$-0.752749\pi$
$349$	−18.3142	+	4.90729i	−0.980339	+	0.262681i	−0.267152	+	0.963655i	$0.586082\pi$
$350$	0.273914	+	0.282619i	0.0146413	+	0.0151066i
$351$	−0.408976	−	3.58228i	−0.0218295	−	0.191208i
$352$	0.407528	−	0.705859i	0.0217213	−	0.0376224i
$353$	−1.78861	+	1.78861i	−0.0951980	+	0.0951980i	−0.753102	−	0.657904i	$-0.771443\pi$
$353$	−1.78861	+	1.78861i	−0.0951980	+	0.0951980i	0.657904	+	0.753102i	$0.271443\pi$
$354$	−4.16160			−0.221187
$355$	5.39701			0.286444
$356$	11.1517	−	11.1517i	0.591039	−	0.591039i
$357$	13.9966	+	0.218913i	0.740777	+	0.0115861i
$358$	−0.231934	−	0.0621465i	−0.0122581	−	0.00328454i
$359$	−7.19764	−	26.8620i	−0.379877	−	1.41772i	−0.846086	−	0.533046i	$-0.821047\pi$
$359$	−7.19764	−	26.8620i	−0.379877	−	1.41772i	0.466209	−	0.884675i	$-0.345619\pi$
$360$	2.44675	+	1.41263i	0.128955	+	0.0744521i
$361$		−	22.3658i		−	1.17715i
$362$	−2.07430	+	7.74140i	−0.109023	+	0.406879i
$363$	10.9534			0.574903
$364$	−17.8864	+	1.75913i	−0.937500	+	0.0922033i
$365$	0.0729779			0.00381984
$366$	0.248436	−	0.927177i	0.0129860	−	0.0484643i
$367$		−	31.0634i		−	1.62150i	−0.585394	−	0.810749i	$-0.699060\pi$
$367$		−	31.0634i		−	1.62150i	0.585394	−	0.810749i	$-0.300940\pi$
$368$	18.5246	+	10.6952i	0.965661	+	0.557524i
$369$	2.28734	+	8.53647i	0.119074	+	0.444391i
$370$	2.71532	+	0.727569i	0.141163	+	0.0378245i
$371$	8.97326	+	5.36955i	0.465869	+	0.278773i
$372$	−3.50746	+	3.50746i	−0.181854	+	0.181854i
$373$	18.5405			0.959992			0.479996	−	0.877271i	$-0.340638\pi$
$373$	18.5405			0.959992			0.479996	+	0.877271i	$0.340638\pi$
$374$	0.388996			0.0201145
$375$	8.21230	−	8.21230i	0.424081	−	0.424081i
$376$	8.45802	−	14.6497i	0.436189	−	0.755501i
$377$	−3.49045	+	8.03248i	−0.179767	+	0.413694i
$378$	−0.873771	+	0.219540i	−0.0449419	+	0.0112919i
$379$	12.0843	−	3.23797i	0.620727	−	0.166323i	0.0652686	−	0.997868i	$-0.479210\pi$
$379$	12.0843	−	3.23797i	0.620727	−	0.166323i	0.555458	+	0.831545i	$0.312543\pi$
$380$	12.9424	+	22.4169i	0.663930	+	1.14996i
$381$	5.41577	−	9.38039i	0.277458	−	0.480572i
$382$	−1.99468	+	7.44425i	−0.102057	+	0.380881i
$383$	−4.28745	+	4.28745i	−0.219078	+	0.219078i	−0.808110	−	0.589032i	$-0.799509\pi$
$383$	−4.28745	+	4.28745i	−0.219078	+	0.219078i	0.589032	+	0.808110i	$0.299509\pi$
$384$	−2.42556	+	9.05232i	−0.123779	+	0.461949i
$385$	−1.22013	−	0.0190834i	−0.0621836	−	0.000972579i
$386$	−1.16590	−	2.01940i	−0.0593427	−	0.102785i
$387$	4.95359	−	2.85995i	0.251805	−	0.145380i
$388$	−10.9022	−	10.9022i	−0.553478	−	0.553478i
$389$	−13.2496	+	7.64964i	−0.671780	+	0.387852i	−0.796751	−	0.604308i	$-0.793450\pi$
$389$	−13.2496	+	7.64964i	−0.671780	+	0.387852i	0.124971	+	0.992160i	$0.460116\pi$
$390$	−0.297489	−	2.60575i	−0.0150640	−	0.131948i
$391$			34.1117i			1.72510i
$392$	2.11535	+	9.01325i	0.106841	+	0.455238i
$393$	1.88762	−	3.26946i	0.0952181	−	0.164923i
$394$			2.21473i			0.111576i
$395$	30.0548	+	8.05316i	1.51222	+	0.405199i
$396$	0.392928	−	0.105285i	0.0197454	−	0.00529076i
$397$	10.0204	+	10.0204i	0.502910	+	0.502910i	0.912341	−	0.409431i	$-0.134273\pi$
$397$	10.0204	+	10.0204i	0.502910	+	0.502910i	−0.409431	+	0.912341i	$0.634273\pi$
$398$	−4.18106	−	4.18106i	−0.209578	−	0.209578i
$399$	−16.3658	−	4.66069i	−0.819313	−	0.233327i
$400$	1.25519	+	0.724684i	0.0627595	+	0.0362342i
$401$	−14.2627	−	3.82167i	−0.712244	−	0.190845i	−0.115535	−	0.993303i	$-0.536858\pi$
$401$	−14.2627	−	3.82167i	−0.712244	−	0.190845i	−0.596708	+	0.802458i	$0.703525\pi$
$402$	0.287135	+	0.497332i	0.0143210	+	0.0248047i
$403$	9.38872	+	1.40097i	0.467685	+	0.0697872i
$404$	6.57468	+	3.79590i	0.327103	+	0.188853i
$405$	0.552877	+	2.06336i	0.0274727	+	0.102529i
$406$	2.10472	+	0.599389i	0.104456	+	0.0297472i
$407$	0.722624	−	0.417207i	0.0358192	−	0.0206802i
$408$	−6.75921	+	1.81112i	−0.334631	+	0.0896640i
$409$	5.42903	+	20.2614i	0.268448	+	1.00186i	0.960106	+	0.279637i	$0.0902140\pi$
$409$	5.42903	+	20.2614i	0.268448	+	1.00186i	−0.691658	+	0.722225i	$0.743119\pi$
$410$	1.66381	+	6.20944i	0.0821699	+	0.306662i
$411$	9.68624	−	2.59542i	0.477787	−	0.128023i
$412$	−13.1752	+	7.60669i	−0.649094	+	0.374755i
$413$	−23.2188	+	22.5037i	−1.14252	+	1.10733i
$414$	−0.568219	−	2.12062i	−0.0279264	−	0.104223i
$415$	20.2053	+	11.6655i	0.991839	+	0.572639i
$416$	12.6625	−	4.99123i	0.620831	−	0.244715i
$417$	3.95030	+	6.84211i	0.193447	+	0.335060i
$418$	−0.456756	−	0.122387i	−0.0223407	−	0.00598616i
$419$	21.7207	+	12.5405i	1.06113	+	0.612642i	0.925744	−	0.378151i	$-0.123440\pi$
$419$	21.7207	+	12.5405i	1.06113	+	0.612642i	0.135384	+	0.990793i	$0.456773\pi$
$420$	10.3271	−	2.59475i	0.503912	−	0.126611i
$421$	−9.11957	−	9.11957i	−0.444461	−	0.444461i	0.449047	−	0.893508i	$-0.351763\pi$
$421$	−9.11957	−	9.11957i	−0.444461	−	0.444461i	−0.893508	+	0.449047i	$0.851763\pi$
$422$	−5.01450	−	5.01450i	−0.244102	−	0.244102i
$423$	12.3542	−	3.31031i	0.600684	−	0.160953i
$424$	−5.04932	−	1.35296i	−0.245217	−	0.0657057i
$425$			2.31134i			0.112117i
$426$	0.430163	−	0.745064i	0.0208415	−	0.0360985i
$427$	−3.62757	−	6.51640i	−0.175550	−	0.315351i
$428$		−	3.12427i		−	0.151017i
$429$	−0.609358	−	0.484479i	−0.0294201	−	0.0233909i
$430$	3.60324	−	2.08033i	0.173764	−	0.100323i
$431$	−5.20243	−	5.20243i	−0.250592	−	0.250592i	0.570621	−	0.821213i	$-0.306702\pi$
$431$	−5.20243	−	5.20243i	−0.250592	−	0.250592i	−0.821213	+	0.570621i	$0.806702\pi$
$432$	−2.87323	+	1.65886i	−0.138239	+	0.0798121i
$433$	−14.5332	−	25.1722i	−0.698419	−	1.20970i	−0.969014	−	0.247004i	$-0.920554\pi$
$433$	−14.5332	−	25.1722i	−0.698419	−	1.20970i	0.270596	−	0.962693i	$-0.412779\pi$
$434$	0.0370940	−	2.37167i	0.00178057	−	0.113844i
$435$	1.34297	−	5.01202i	0.0643904	−	0.240308i
$436$	−19.3419	+	19.3419i	−0.926308	+	0.926308i
$437$	10.7323	−	40.0536i	0.513397	−	1.91602i
$438$	0.00581662	−	0.0100747i	0.000277929	−	0.000481387i
$439$	1.17157	+	2.02922i	0.0559160	+	0.0968494i	0.892628	−	0.450793i	$-0.148859\pi$
$439$	1.17157	+	2.02922i	0.0559160	+	0.0968494i	−0.836712	+	0.547642i	$0.815525\pi$
$440$	0.589223	−	0.157882i	0.0280901	−	0.00752673i
$441$	−3.68787	+	5.94976i	−0.175613	+	0.283322i
$442$	5.08466	+	4.04264i	0.241853	+	0.192289i
$443$	−1.34377	+	2.32748i	−0.0638445	+	0.110582i	−0.896181	−	0.443689i	$-0.853670\pi$
$443$	−1.34377	+	2.32748i	−0.0638445	+	0.110582i	0.832336	+	0.554271i	$0.187003\pi$
$444$	−5.14850	+	5.14850i	−0.244337	+	0.244337i
$445$	17.8812			0.847650
$446$	−1.03751			−0.0491274
$447$	−13.7556	+	13.7556i	−0.650619	+	0.650619i
$448$	6.88483	+	12.3676i	0.325278	+	0.584314i
$449$	−33.7328	−	9.03869i	−1.59195	−	0.426562i	−0.649352	−	0.760488i	$-0.724960\pi$
$449$	−33.7328	−	9.03869i	−1.59195	−	0.426562i	−0.942599	+	0.333926i	$0.891626\pi$
$450$	−0.0385014	−	0.143689i	−0.00181497	−	0.00677357i
$451$	1.65251	+	0.954075i	0.0778135	+	0.0449256i
$452$		−	18.7874i		−	0.883685i
$453$	1.67561	−	6.25347i	0.0787272	−	0.293814i
$454$	4.54009			0.213077
$455$	−15.7503	−	12.9296i	−0.738385	−	0.606149i
$456$	8.50642			0.398349
$457$	5.39393	−	20.1304i	0.252318	−	0.941662i	−0.717246	−	0.696820i	$-0.754597\pi$
$457$	5.39393	−	20.1304i	0.252318	−	0.941662i	0.969563	−	0.244841i	$-0.0787359\pi$
$458$			2.09202i			0.0977535i
$459$	−4.58202	−	2.64543i	−0.213870	−	0.123478i
$460$	6.71579	+	25.0637i	0.313126	+	1.16860i
$461$	12.7922	+	3.42767i	0.595794	+	0.159642i	0.544100	−	0.839021i	$-0.316871\pi$
$461$	12.7922	+	3.42767i	0.595794	+	0.159642i	0.0516940	+	0.998663i	$0.483538\pi$
$462$	−0.0998836	+	0.166919i	−0.00464701	+	0.00776579i
$463$	2.61134	−	2.61134i	0.121359	−	0.121359i	−0.643819	−	0.765178i	$-0.722651\pi$
$463$	2.61134	−	2.61134i	0.121359	−	0.121359i	0.765178	+	0.643819i	$0.222651\pi$
$464$	8.05893			0.374127
$465$	−5.62404			−0.260809
$466$	5.99391	−	5.99391i	0.277663	−	0.277663i
$467$	−19.3881	+	33.5811i	−0.897173	+	1.55395i	−0.0660799	+	0.997814i	$0.521049\pi$
$467$	−19.3881	+	33.5811i	−0.897173	+	1.55395i	−0.831093	+	0.556134i	$0.812284\pi$
$468$	6.23023	+	2.70729i	0.287992	+	0.125145i
$469$	4.29131	+	1.22209i	0.198154	+	0.0564310i
$470$	8.98649	−	2.40792i	0.414516	−	0.111069i
$471$	9.06627	+	15.7032i	0.417752	+	0.723567i
$472$	8.08193	−	13.9983i	0.372001	−	0.644325i
$473$	0.319642	−	1.19292i	0.0146971	−	0.0548505i
$474$	3.50724	−	3.50724i	0.161093	−	0.161093i
$475$	0.727202	−	2.71395i	0.0333663	−	0.124525i
$476$	−13.5423	+	22.6310i	−0.620710	+	1.03729i
$477$	−1.97621	−	3.42290i	−0.0904845	−	0.156724i
$478$	−2.16309	+	1.24886i	−0.0989375	+	0.0571216i
$479$	0.579895	+	0.579895i	0.0264961	+	0.0264961i	0.720231	−	0.693735i	$-0.244036\pi$
$479$	0.579895	+	0.579895i	0.0264961	+	0.0264961i	−0.693735	+	0.720231i	$0.744036\pi$
$480$	−6.98349	+	4.03192i	−0.318751	+	0.184031i
$481$	13.7814	+	2.05644i	0.628378	+	0.0937655i
$482$			7.41616i			0.337797i
$483$	−14.6374	−	8.75895i	−0.666026	−	0.398546i
$484$	−10.3183	+	17.8719i	−0.469015	+	0.812359i
$485$		−	17.4812i		−	0.793781i
$486$	0.328916	+	0.0881329i	0.0149200	+	0.00399779i
$487$	−13.6609	+	3.66043i	−0.619034	+	0.165870i	−0.554689	−	0.832058i	$-0.687163\pi$
$487$	−13.6609	+	3.66043i	−0.619034	+	0.165870i	−0.0643455	+	0.997928i	$0.520496\pi$
$488$	2.63626	+	2.63626i	0.119338	+	0.119338i
$489$	6.57416	+	6.57416i	0.297294	+	0.297294i
$490$	−2.68256	+	4.32786i	−0.121186	+	0.195513i
$491$	1.05851	+	0.611132i	0.0477699	+	0.0275800i	0.523695	−	0.851906i	$-0.324553\pi$
$491$	1.05851	+	0.611132i	0.0477699	+	0.0275800i	−0.475925	+	0.879486i	$0.657887\pi$
$492$	−16.0831	−	4.30946i	−0.725083	−	0.194285i
$493$	6.42589	+	11.1300i	0.289407	+	0.501268i
$494$	−4.69846	−	6.34658i	−0.211393	−	0.285546i
$495$	0.399430	+	0.230611i	0.0179530	+	0.0103652i
$496$	−2.26075	−	8.43725i	−0.101511	−	0.378844i
$497$	−1.62890	−	6.48302i	−0.0730660	−	0.290803i
$498$	3.22088	−	1.85958i	0.144331	−	0.0833297i
$499$	−27.2620	+	7.30484i	−1.22042	+	0.327010i	−0.810841	−	0.585266i	$-0.800990\pi$
$499$	−27.2620	+	7.30484i	−1.22042	+	0.327010i	−0.409576	+	0.912276i	$0.634323\pi$
$500$	5.66328	+	21.1356i	0.253269	+	0.945214i
$501$	−3.41564	−	12.7473i	−0.152599	−	0.569509i
$502$	−8.44358	+	2.26245i	−0.376855	+	0.100978i
$503$	20.5820	−	11.8830i	0.917705	−	0.529837i	0.0348030	−	0.999394i	$-0.488920\pi$
$503$	20.5820	−	11.8830i	0.917705	−	0.529837i	0.882902	+	0.469557i	$0.155586\pi$
$504$	0.958421	−	3.36544i	0.0426915	−	0.149909i
$505$	2.22782	+	8.31435i	0.0991369	+	0.369984i
$506$	−0.410514	−	0.237010i	−0.0182496	−	0.0105364i
$507$	−2.93013	−	12.6655i	−0.130132	−	0.562494i
$508$	10.2036	+	17.6731i	0.452710	+	0.784117i
$509$	26.8218	+	7.18688i	1.18886	+	0.318553i	0.798433	−	0.602083i	$-0.205662\pi$
$509$	26.8218	+	7.18688i	1.18886	+	0.318553i	0.390422	+	0.920636i	$0.372329\pi$
$510$	−3.33296	−	1.92429i	−0.147586	−	0.0852088i
$511$	−0.0220258	−	0.0876627i	−0.000974363	−	0.00387797i
$512$	−15.0615	−	15.0615i	−0.665631	−	0.665631i
$513$	4.54784	+	4.54784i	0.200792	+	0.200792i
$514$	0.126603	−	0.0339231i	0.00558420	−	0.00149628i
$515$	−16.6613	−	4.46439i	−0.734186	−	0.196725i
$516$			10.7766i			0.474412i
$517$	1.38077	−	2.39156i	0.0607260	−	0.105181i
$518$	0.0544491	−	3.48130i	0.00239236	−	0.152960i
$519$		−	9.14892i		−	0.401593i
$520$	9.34266	+	4.05978i	0.409703	+	0.178033i
$521$	−4.58195	+	2.64539i	−0.200739	+	0.115897i	−0.597000	−	0.802241i	$-0.703641\pi$
$521$	−4.58195	+	2.64539i	−0.200739	+	0.115897i	0.396261	+	0.918138i	$0.370307\pi$
$522$	−0.584876	−	0.584876i	−0.0255993	−	0.0255993i
$523$	−1.35032	+	0.779605i	−0.0590452	+	0.0340897i	−0.529232	−	0.848477i	$-0.677520\pi$
$523$	−1.35032	+	0.779605i	−0.0590452	+	0.0340897i	0.470187	+	0.882567i	$0.344187\pi$
$524$	3.55637	+	6.15982i	0.155361	+	0.269093i
$525$	−0.991802	−	0.593489i	−0.0432858	−	0.0259020i
$526$	−2.51489	+	9.38570i	−0.109654	+	0.409236i
$527$	9.84980	−	9.84980i	0.429064	−	0.429064i
$528$	−0.185402	+	0.691930i	−0.00806859	+	0.0301124i
$529$	9.28380	−	16.0800i	0.403643	−	0.699131i
$530$	−1.43750	−	2.48982i	−0.0624409	−	0.108151i
$531$	11.8049	−	3.16312i	0.512290	−	0.137268i
$532$	23.0215	−	22.3124i	0.998107	−	0.967366i
$533$	11.6851	+	29.6446i	0.506138	+	1.28405i
$534$	1.42520	−	2.46852i	0.0616745	−	0.106823i
$535$	2.50480	−	2.50480i	0.108292	−	0.108292i
$536$	−2.23049			−0.0963425
$537$	0.705145			0.0304293
$538$	2.13350	−	2.13350i	0.0919816	−	0.0919816i
$539$	0.345329	+	1.47141i	0.0148744	+	0.0633780i
$540$	−3.88747	−	1.04165i	−0.167290	−	0.0448253i
$541$	−2.13815	−	7.97968i	−0.0919262	−	0.343073i	0.904609	−	0.426242i	$-0.140163\pi$
$541$	−2.13815	−	7.97968i	−0.0919262	−	0.343073i	−0.996536	+	0.0831684i	$0.973496\pi$
$542$	1.39376	+	0.804687i	0.0598671	+	0.0345643i
$543$		−	23.5361i		−	1.01003i
$544$	5.16930	−	19.2921i	0.221632	−	0.827141i
$545$	−31.0137			−1.32848
$546$	−3.04031	+	1.14381i	−0.130113	+	0.0489503i
$547$	8.40172			0.359231			0.179616	−	0.983737i	$-0.442515\pi$
$547$	8.40172			0.359231			0.179616	+	0.983737i	$0.442515\pi$
$548$	−4.88989	+	18.2493i	−0.208886	+	0.779573i
$549$			2.81888i			0.120307i
$550$	−0.0278156	−	0.0160593i	−0.00118606	−	0.000684773i
$551$	−4.04347	−	15.0904i	−0.172258	−	0.642874i
$552$	8.23659	+	2.20699i	0.350573	+	0.0939356i
$553$	0.602675	−	38.5331i	0.0256284	−	1.63859i
$554$	4.13293	−	4.13293i	0.175591	−	0.175591i
$555$	−8.25536			−0.350420
$556$	−14.8851			−0.631268
$557$	−18.4794	+	18.4794i	−0.782996	+	0.782996i	−0.980335	−	0.197339i	$-0.936770\pi$
$557$	−18.4794	+	18.4794i	−0.782996	+	0.782996i	0.197339	+	0.980335i	$0.436770\pi$
$558$	−0.448258	+	0.776406i	−0.0189763	+	0.0328679i
$559$	16.5755	−	12.2711i	0.701068	−	0.519010i
$560$	−5.13573	+	18.0338i	−0.217024	+	0.762069i
$561$	−1.10344	+	0.295665i	−0.0465872	+	0.0124830i
$562$	−1.12028	−	1.94039i	−0.0472563	−	0.0818503i
$563$	−8.59992	+	14.8955i	−0.362443	+	0.627770i	−0.988362	−	0.152118i	$-0.951391\pi$
$563$	−8.59992	+	14.8955i	−0.362443	+	0.627770i	0.625919	+	0.779888i	$0.284724\pi$
$564$	−6.23678	+	23.2760i	−0.262616	+	0.980095i
$565$	15.0623	−	15.0623i	0.633677	−	0.633677i
$566$	−0.0939051	+	0.350459i	−0.00394713	+	0.0147309i
$567$	2.31170	−	1.28688i	0.0970821	−	0.0540439i
$568$	1.67077	+	2.89386i	0.0701041	+	0.121424i
$569$	−33.1168	+	19.1200i	−1.38833	+	0.801552i	−0.993127	−	0.117042i	$-0.962659\pi$
$569$	−33.1168	+	19.1200i	−1.38833	+	0.801552i	−0.395202	+	0.918594i	$0.629326\pi$
$570$	3.30811	+	3.30811i	0.138561	+	0.138561i
$571$	−30.3275	+	17.5096i	−1.26917	+	0.732754i	−0.974830	−	0.222947i	$-0.928432\pi$
$571$	−30.3275	+	17.5096i	−1.26917	+	0.732754i	−0.294337	+	0.955702i	$0.595099\pi$
$572$	1.36452	−	0.537858i	0.0570535	−	0.0224890i
$573$		−	22.6326i		−	0.945492i
$574$	6.95676	−	3.87271i	0.290370	−	0.161644i
$575$	1.40827	−	2.43919i	0.0587289	−	0.101721i
$576$		−	5.35001i		−	0.222917i
$577$	−9.24154	−	2.47626i	−0.384730	−	0.103088i	0.0612695	−	0.998121i	$-0.480485\pi$
$577$	−9.24154	−	2.47626i	−0.384730	−	0.103088i	−0.446000	+	0.895033i	$0.647152\pi$
$578$	3.61583	−	0.968858i	0.150399	−	0.0402992i
$579$	4.84211	+	4.84211i	0.201231	+	0.201231i
$580$	6.91267	+	6.91267i	0.287033	+	0.287033i
$581$	7.91467	−	27.7919i	0.328356	−	1.15300i
$582$	−2.41330	−	1.39332i	−0.100035	−	0.0577550i
$583$	−0.824300	−	0.220870i	−0.0341390	−	0.00914752i
$584$	0.0225920	+	0.0391305i	0.000934865	+	0.00161923i
$585$	2.82443	+	7.16544i	0.116776	+	0.296254i
$586$	−7.01660	−	4.05104i	−0.289853	−	0.167347i
$587$	−2.53560	−	9.46297i	−0.104655	−	0.390579i	0.893651	−	0.448763i	$-0.148135\pi$
$587$	−2.53560	−	9.46297i	−0.104655	−	0.390579i	−0.998306	+	0.0581847i	$0.981469\pi$
$588$	−6.23375	−	11.6221i	−0.257076	−	0.479286i
$589$	−14.6645	+	8.46656i	−0.604241	+	0.348859i
$590$	8.58690	−	2.30085i	0.353517	−	0.0947247i
$591$	−1.68335	−	6.28236i	−0.0692439	−	0.258422i
$592$	−3.31849	−	12.3848i	−0.136389	−	0.509011i
$593$	0.540474	−	0.144820i	0.0221946	−	0.00594703i	−0.247705	−	0.968836i	$-0.579676\pi$
$593$	0.540474	−	0.144820i	0.0221946	−	0.00594703i	0.269899	+	0.962889i	$0.413010\pi$
$594$	0.0636723	−	0.0367612i	0.00261251	−	0.00150833i
$595$	−29.0011	+	7.28668i	−1.18893	+	0.298725i
$596$	−9.48600	−	35.4022i	−0.388562	−	1.45013i
$597$	15.0380	+	8.68220i	0.615465	+	0.355339i
$598$	−2.90280	−	7.36427i	−0.118704	−	0.301147i
$599$	−23.2787	−	40.3199i	−0.951143	−	1.64743i	−0.742958	−	0.669338i	$-0.766578\pi$
$599$	−23.2787	−	40.3199i	−0.951143	−	1.64743i	−0.208184	−	0.978090i	$-0.566755\pi$
$600$	0.558095	+	0.149541i	0.0227841	+	0.00610499i
$601$	−7.23802	−	4.17887i	−0.295245	−	0.170460i	0.345060	−	0.938581i	$-0.387859\pi$
$601$	−7.23802	−	4.17887i	−0.295245	−	0.170460i	−0.640305	+	0.768121i	$0.721192\pi$
$602$	−3.58646	−	3.70043i	−0.146173	−	0.150818i
$603$	−1.19250	−	1.19250i	−0.0485624	−	0.0485624i
$604$	8.62490	+	8.62490i	0.350942	+	0.350942i
$605$	−22.6008	+	6.05587i	−0.918854	+	0.246206i
$606$	1.32537	+	0.355133i	0.0538396	+	0.0144263i
$607$		−	30.0505i		−	1.21971i	−0.792512	−	0.609857i	$-0.791227\pi$
$607$		−	30.0505i		−	1.21971i	0.792512	−	0.609857i	$-0.208773\pi$
$608$	−12.1395	+	21.0262i	−0.492321	+	0.852725i
$609$	−6.42589	−	0.100504i	−0.260390	−	0.00407262i
$610$			2.05046i			0.0830206i
$611$	42.9025	−	16.9110i	1.73565	−	0.684147i
$612$	8.63273	−	4.98411i	0.348957	−	0.201471i
$613$	−17.6443	−	17.6443i	−0.712646	−	0.712646i	0.254442	−	0.967088i	$-0.418108\pi$
$613$	−17.6443	−	17.6443i	−0.712646	−	0.712646i	−0.967088	+	0.254442i	$0.918108\pi$
$614$	0.180516	−	0.104221i	0.00728503	−	0.00420601i
$615$	−9.43923	−	16.3492i	−0.380627	−	0.659265i
$616$	−0.367488	−	0.660138i	−0.0148065	−	0.0265977i
$617$	−9.26122	+	34.5634i	−0.372843	+	1.39147i	0.483628	+	0.875273i	$0.339319\pi$
$617$	−9.26122	+	34.5634i	−0.372843	+	1.39147i	−0.856471	+	0.516195i	$0.827348\pi$
$618$	−1.94429	+	1.94429i	−0.0782107	+	0.0782107i
$619$	−3.66187	+	13.6663i	−0.147183	+	0.549294i	0.852466	+	0.522783i	$0.175106\pi$
$619$	−3.66187	+	13.6663i	−0.147183	+	0.549294i	−0.999649	+	0.0265107i	$0.991560\pi$
$620$	5.29798	−	9.17637i	0.212772	−	0.368532i
$621$	3.22365	+	5.58352i	0.129360	+	0.224059i
$622$	−6.59516	+	1.76717i	−0.264442	+	0.0708570i
$623$	−5.39680	−	21.4793i	−0.216218	−	0.860551i
$624$	−9.61430	+	7.11759i	−0.384880	+	0.284932i
$625$	−11.3124	+	19.5937i	−0.452498	+	0.783749i
$626$	−6.06600	+	6.06600i	−0.242446	+	0.242446i
$627$	1.38867			0.0554581
$628$	−34.1625			−1.36323
$629$	14.4582	−	14.4582i	0.576487	−	0.576487i
$630$	1.68153	−	0.936079i	0.0669937	−	0.0372943i
$631$	40.8616	+	10.9488i	1.62668	+	0.435867i	0.952953	−	0.303117i	$-0.0980274\pi$
$631$	40.8616	+	10.9488i	1.62668	+	0.435867i	0.673723	+	0.738984i	$0.264694\pi$
$632$	4.98609	+	18.6084i	0.198336	+	0.740201i
$633$	18.0356	+	10.4129i	0.716853	+	0.413875i
$634$		−	1.38550i		−	0.0550253i
$635$	−5.98851	+	22.3494i	−0.237647	+	0.886909i
$636$	7.44655			0.295275
$637$	−10.7777	+	22.8219i	−0.427028	+	0.904239i
$638$	−0.178590			−0.00707044
$639$	−0.653910	+	2.44042i	−0.0258683	+	0.0965417i
$640$		−	20.0193i		−	0.791331i
$641$	−25.7747	−	14.8811i	−1.01804	−	0.587766i	−0.104505	−	0.994524i	$-0.533326\pi$
$641$	−25.7747	−	14.8811i	−1.01804	−	0.587766i	−0.913536	+	0.406758i	$0.866659\pi$
$642$	−0.146149	−	0.545434i	−0.00576802	−	0.0215266i
$643$	−19.0664	−	5.10881i	−0.751904	−	0.201472i	−0.137541	−	0.990496i	$-0.543920\pi$
$643$	−19.0664	−	5.10881i	−0.751904	−	0.201472i	−0.614362	+	0.789024i	$0.710587\pi$
$644$	28.0802	−	15.6318i	1.10651	−	0.615977i
$645$	−8.63985	+	8.63985i	−0.340194	+	0.340194i
$646$	−11.5875			−0.455902
$647$	−41.1775			−1.61885			−0.809427	−	0.587221i	$-0.800222\pi$
$647$	−41.1775			−1.61885			−0.809427	+	0.587221i	$0.800222\pi$
$648$	−0.935214	+	0.935214i	−0.0367387	+	0.0367387i
$649$	1.31937	−	2.28522i	0.0517898	−	0.0897026i
$650$	−0.196688	−	0.498988i	−0.00771474	−	0.0195719i
$651$	1.69742	+	6.75574i	0.0665270	+	0.264778i
$652$	−16.9196	+	4.53360i	−0.662624	+	0.177550i
$653$	3.31142	+	5.73555i	0.129586	+	0.224449i	0.923516	−	0.383559i	$-0.125302\pi$
$653$	3.31142	+	5.73555i	0.129586	+	0.224449i	−0.793930	+	0.608009i	$0.791969\pi$
$654$	−2.47192	+	4.28148i	−0.0966596	+	0.167419i
$655$	−2.08725	+	7.78971i	−0.0815555	+	0.304369i
$656$	20.7329	−	20.7329i	0.809484	−	0.809484i
$657$	−0.00884210	+	0.0329992i	−0.000344963	+	0.00128742i
$658$	−5.60470	−	10.0680i	−0.218494	−	0.392493i
$659$	14.9026	+	25.8121i	0.580523	+	1.00550i	0.995417	+	0.0956261i	$0.0304853\pi$
$659$	14.9026	+	25.8121i	0.580523	+	1.00550i	−0.414894	+	0.909870i	$0.636181\pi$
$660$	−0.752545	+	0.434482i	−0.0292928	+	0.0169122i
$661$	5.59219	+	5.59219i	0.217511	+	0.217511i	0.807449	−	0.589938i	$-0.200848\pi$
$661$	5.59219	+	5.59219i	0.217511	+	0.217511i	−0.589938	+	0.807449i	$0.700848\pi$
$662$	0.100757	−	0.0581722i	0.00391604	−	0.00226093i
$663$	−17.4960	−	7.60273i	−0.679488	−	0.295266i
$664$			14.4454i			0.560589i
$665$	36.3453	+	0.568457i	1.40941	+	0.0220438i
$666$	−0.657984	+	1.13966i	−0.0254964	+	0.0441610i
$667$		−	15.6608i		−	0.606390i
$668$	24.0166	+	6.43522i	0.929229	+	0.248986i
$669$	2.94302	−	0.788580i	0.113784	−	0.0304883i
$670$	−0.867427	−	0.867427i	−0.0335116	−	0.0335116i
$671$	0.430368	+	0.430368i	0.0166142	+	0.0166142i
$672$	6.95095	+	7.17184i	0.268139	+	0.276660i
$673$	−3.67700	−	2.12292i	−0.141738	−	0.0818325i	0.427454	−	0.904037i	$-0.359411\pi$
$673$	−3.67700	−	2.12292i	−0.141738	−	0.0818325i	−0.569192	+	0.822205i	$0.692744\pi$
$674$	2.97391	+	0.796856i	0.114551	+	0.0306938i
$675$	0.218428	+	0.378328i	0.00840729	+	0.0145619i
$676$	23.4257	+	7.15028i	0.900987	+	0.275011i
$677$	−20.0880	−	11.5978i	−0.772043	−	0.445739i	0.0615597	−	0.998103i	$-0.480393\pi$
$677$	−20.0880	−	11.5978i	−0.772043	−	0.445739i	−0.833603	+	0.552364i	$0.813726\pi$
$678$	−0.878846	−	3.27990i	−0.0337519	−	0.125964i
$679$	−20.9988	+	5.27608i	−0.805861	+	0.202477i
$680$	12.9454	−	7.47402i	0.496433	−	0.286616i
$681$	−12.8785	+	3.45080i	−0.493507	+	0.132235i
$682$	0.0500994	+	0.186974i	0.00191841	+	0.00715959i
$683$	9.86639	+	36.8219i	0.377527	+	1.40895i	0.849617	+	0.527399i	$0.176833\pi$
$683$	9.86639	+	36.8219i	0.377527	+	1.40895i	−0.472091	+	0.881550i	$0.656500\pi$
$684$	−11.7046	+	3.13623i	−0.447536	+	0.119917i
$685$	−18.5513	+	10.7106i	−0.708809	+	0.409231i
$686$	6.00836	+	1.91615i	0.229400	+	0.0731588i
$687$	−1.59008	−	5.93427i	−0.0606654	−	0.226406i
$688$	−16.4346	−	9.48854i	−0.626565	−	0.361747i
$689$	−8.47923	−	11.4536i	−0.323033	−	0.436346i
$690$	2.34488	+	4.06146i	0.0892682	+	0.154617i
$691$	16.3100	+	4.37026i	0.620462	+	0.166252i	0.555338	−	0.831625i	$-0.312589\pi$
$691$	16.3100	+	4.37026i	0.620462	+	0.166252i	0.0651243	+	0.997877i	$0.479256\pi$
$692$	14.9277	+	8.61849i	0.567465	+	0.327626i
$693$	0.156462	−	0.549406i	0.00594349	−	0.0208702i
$694$	−0.300776	−	0.300776i	−0.0114173	−	0.0114173i
$695$	−11.9337	−	11.9337i	−0.452673	−	0.452673i
$696$	3.10318	−	0.831495i	0.117626	−	0.0315177i
$697$	45.1652	+	12.1020i	1.71076	+	0.458396i
$698$		−	6.45635i		−	0.244376i
$699$	−12.4467	+	21.5583i	−0.470777	+	0.815410i
$700$	1.90266	−	1.05918i	0.0719137	−	0.0400331i
$701$		−	30.9412i		−	1.16863i	−0.811526	−	0.584317i	$-0.801363\pi$
$701$		−	30.9412i		−	1.16863i	0.811526	−	0.584317i	$-0.198637\pi$
$702$	1.21432	+	0.181198i	0.0458314	+	0.00683888i
$703$	−21.5256	+	12.4278i	−0.811853	+	0.468723i
$704$	−0.816804	−	0.816804i	−0.0307844	−	0.0307844i
$705$	−23.6611	+	13.6607i	−0.891129	+	0.514493i
$706$	−0.430667	−	0.745938i	−0.0162084	−	0.0280737i
$707$	9.31501	−	5.18551i	0.350327	−	0.195021i
$708$	−5.95946	+	22.2410i	−0.223970	+	0.835868i
$709$	23.7532	−	23.7532i	0.892071	−	0.892071i	−0.102647	−	0.994718i	$-0.532731\pi$
$709$	23.7532	−	23.7532i	0.892071	−	0.892071i	0.994718	+	0.102647i	$0.0327312\pi$
$710$	−0.475654	+	1.77517i	−0.0178510	+	0.0666208i
$711$	−7.28296	+	12.6145i	−0.273132	+	0.473079i
$712$	5.53555	+	9.58785i	0.207454	+	0.359320i
$713$	−16.3960	+	4.39329i	−0.614035	+	0.164530i
$714$	−1.30556	+	4.58441i	−0.0488595	+	0.171567i
$715$	1.52518	+	0.662756i	0.0570387	+	0.0247857i
$716$	−0.664263	+	1.15054i	−0.0248247	+	0.0429976i
$717$	5.18666	−	5.18666i	0.193699	−	0.193699i
$718$	9.46969			0.353406
$719$	46.3189			1.72740			0.863701	−	0.504004i	$-0.168140\pi$
$719$	46.3189			1.72740			0.863701	+	0.504004i	$0.168140\pi$
$720$	5.01138	−	5.01138i	0.186763	−	0.186763i
$721$	−0.334102	+	21.3614i	−0.0124426	+	0.795540i
$722$	7.35646	+	1.97116i	0.273779	+	0.0733589i
$723$	−5.63681	−	21.0369i	−0.209635	−	0.782370i
$724$	38.4022	+	22.1715i	1.42721	+	0.823999i
$725$		−	1.06115i		−	0.0394100i
$726$	−0.965353	+	3.60275i	−0.0358276	+	0.133710i
$727$	10.6381			0.394545			0.197272	−	0.980349i	$-0.436792\pi$
$727$	10.6381			0.394545			0.197272	+	0.980349i	$0.436792\pi$
$728$	2.05695	−	12.4479i	0.0762356	−	0.461351i
$729$	−1.00000			−0.0370370
$730$	−0.00643175	+	0.0240036i	−0.000238050	+	0.000888414i
$731$		−	30.2632i		−	1.11933i
$732$	−4.59938	−	2.65545i	−0.169998	−	0.0981484i
$733$	−2.13892	−	7.98256i	−0.0790028	−	0.294843i	0.915108	−	0.403208i	$-0.132105\pi$
$733$	−2.13892	−	7.98256i	−0.0790028	−	0.294843i	−0.994111	+	0.108366i	$0.965438\pi$
$734$	10.2173	+	2.73771i	0.377126	+	0.101051i
$735$	4.31994	−	14.3155i	0.159343	−	0.528033i
$736$	−17.2096	+	17.2096i	−0.634356	+	0.634356i
$737$	−0.364126			−0.0134128
$738$	−3.00938			−0.110777
$739$	14.6418	−	14.6418i	0.538607	−	0.538607i	−0.384512	−	0.923120i	$-0.625630\pi$
$739$	14.6418	−	14.6418i	0.538607	−	0.538607i	0.923120	+	0.384512i	$0.125630\pi$
$740$	7.77674	−	13.4697i	0.285879	−	0.495156i
$741$	18.1516	+	14.4317i	0.666816	+	0.530162i
$742$	−2.55697	+	2.47822i	−0.0938694	+	0.0909783i
$743$	42.6921	−	11.4393i	1.56622	−	0.419668i	0.631596	−	0.775298i	$-0.282400\pi$
$743$	42.6921	−	11.4393i	1.56622	−	0.419668i	0.934627	+	0.355630i	$0.115734\pi$
$744$	−1.74106	−	3.01560i	−0.0638302	−	0.110557i
$745$	20.7777	−	35.9880i	0.761236	−	1.31850i
$746$	−1.63403	+	6.09828i	−0.0598261	+	0.223274i
$747$	−7.72303	+	7.72303i	−0.282571	+	0.282571i
$748$	0.557047	−	2.07893i	0.0203677	−	0.0760131i
$749$	−3.76481	−	2.25284i	−0.137563	−	0.0823171i
$750$	1.97739	+	3.42493i	0.0722040	+	0.125061i
$751$	4.72329	−	2.72700i	0.172355	−	0.0995095i	−0.411341	−	0.911482i	$-0.634939\pi$
$751$	4.72329	−	2.72700i	0.172355	−	0.0995095i	0.583696	+	0.811972i	$0.301606\pi$
$752$	−30.0053	−	30.0053i	−1.09418	−	1.09418i
$753$	22.2316	−	12.8354i	0.810166	−	0.467750i
$754$	−2.33439	−	1.85599i	−0.0850135	−	0.0675912i
$755$			13.8296i			0.503311i
$756$	−0.0779537	+	4.98411i	−0.00283515	+	0.181270i
$757$	−22.5051	+	38.9800i	−0.817962	+	1.41675i	0.0892196	+	0.996012i	$0.471563\pi$
$757$	−22.5051	+	38.9800i	−0.817962	+	1.41675i	−0.907181	+	0.420740i	$0.861771\pi$
$758$			4.26008i			0.154733i
$759$	1.34462	+	0.360290i	0.0488066	+	0.0130777i
$760$	−17.5518	+	4.70300i	−0.636672	+	0.170596i
$761$	−5.12461	−	5.12461i	−0.185767	−	0.185767i	0.608096	−	0.793863i	$-0.291933\pi$
$761$	−5.12461	−	5.12461i	−0.185767	−	0.185767i	−0.793863	+	0.608096i	$0.791933\pi$
$762$	2.60806	+	2.60806i	0.0944799	+	0.0944799i
$763$	9.36039	+	37.2544i	0.338869	+	1.34870i
$764$	36.9282	+	21.3205i	1.33601	+	0.771348i
$765$	10.9170	+	2.92519i	0.394704	+	0.105761i
$766$	−1.03235	−	1.78808i	−0.0373002	−	0.0646059i
$767$	40.9949	−	16.1591i	1.48024	−	0.583471i
$768$	6.50281	+	3.75440i	0.234650	+	0.135475i
$769$	−0.454594	−	1.69657i	−0.0163931	−	0.0611798i	0.957245	−	0.289279i	$-0.0934156\pi$
$769$	−0.454594	−	1.69657i	−0.0163931	−	0.0611798i	−0.973638	+	0.228099i	$0.926749\pi$
$770$	0.113810	−	0.399639i	0.00410144	−	0.0144020i
$771$	−0.333340	+	0.192454i	−0.0120050	+	0.00693107i
$772$	−12.4619	+	3.33916i	−0.448514	+	0.120179i
$773$	11.3860	+	42.4933i	0.409527	+	1.52838i	0.795550	+	0.605888i	$0.207182\pi$
$773$	11.3860	+	42.4933i	0.409527	+	1.52838i	−0.386023	+	0.922489i	$0.626151\pi$
$774$	0.504112	+	1.88137i	0.0181199	+	0.0676245i
$775$	−1.11096	+	0.297681i	−0.0399069	+	0.0106930i
$776$	9.37338	−	5.41172i	0.336485	−	0.194269i
$777$	2.49159	+	9.91653i	0.0893851	+	0.355754i
$778$	−1.34837	−	5.03219i	−0.0483414	−	0.180413i
$779$	−49.2250	−	28.4201i	−1.76367	−	1.01825i
$780$	−14.3520	−	2.14159i	−0.513885	−	0.0766811i
$781$	0.272753	+	0.472422i	0.00975987	+	0.0169046i
$782$	−11.2199	−	3.00636i	−0.401223	−	0.107507i
$783$	2.10362	+	1.21453i	0.0751774	+	0.0434037i
$784$	23.2127	+	0.726292i	0.829025	+	0.0259390i
$785$	−27.3890	−	27.3890i	−0.977554	−	0.977554i
$786$	0.909018	+	0.909018i	0.0324236	+	0.0324236i
$787$	17.9414	−	4.80739i	0.639543	−	0.171365i	0.0755466	−	0.997142i	$-0.475930\pi$
$787$	17.9414	−	4.80739i	0.639543	−	0.171365i	0.563996	+	0.825777i	$0.309263\pi$
$788$	11.8363	+	3.17151i	0.421649	+	0.112981i
$789$		−	28.5352i		−	1.01588i
$790$	−5.29763	+	9.17577i	−0.188481	+	0.326459i
$791$	−22.6392	−	13.5472i	−0.804959	−	0.481683i
$792$			0.285564i			0.0101471i
$793$	1.15285	+	10.0980i	0.0409391	+	0.358592i
$794$	−4.17901	+	2.41275i	−0.148307	+	0.0856254i
$795$	5.97008	+	5.97008i	0.211737	+	0.211737i
$796$	−28.3323	+	16.3577i	−1.00421	+	0.579782i
$797$	−15.3899	−	26.6561i	−0.545138	−	0.944206i	−0.998598	−	0.0529300i	$-0.983144\pi$
$797$	−15.3899	−	26.6561i	−0.545138	−	0.944206i	0.453460	−	0.891276i	$-0.350189\pi$
$798$	2.97534	−	4.97221i	0.105326	−	0.176014i
$799$	17.5144	−	65.3645i	0.619614	−	2.31243i
$800$	−1.16609	+	1.16609i	−0.0412276	+	0.0412276i
$801$	−2.16651	+	8.08553i	−0.0765499	+	0.285688i
$802$	2.51402	−	4.35441i	0.0887731	−	0.153760i
$803$	0.00368814	+	0.00638804i	0.000130152	+	0.000225429i
$804$	3.06909	−	0.822360i	0.108238	−	0.0290024i
$805$	35.0449	+	9.98021i	1.23517	+	0.351756i
$806$	−1.28826	+	2.96463i	−0.0453769	+	0.104425i
$807$	−4.43032	+	7.67354i	−0.155955	+	0.270122i
$808$	−3.76846	+	3.76846i	−0.132574	+	0.132574i
$809$	36.6409			1.28823			0.644113	−	0.764931i	$-0.277227\pi$
$809$	36.6409			1.28823			0.644113	+	0.764931i	$0.277227\pi$
$810$	−0.727401			−0.0255583
$811$	−7.16530	+	7.16530i	−0.251608	+	0.251608i	−0.821630	−	0.570022i	$-0.806935\pi$
$811$	−7.16530	+	7.16530i	−0.251608	+	0.251608i	0.570022	+	0.821630i	$0.306935\pi$
$812$	6.21732	−	10.3900i	0.218185	−	0.364618i
$813$	−4.56519	−	1.22324i	−0.160108	−	0.0429009i
$814$	0.0735394	+	0.274453i	0.00257755	+	0.00961956i
$815$	−17.1996	−	9.93019i	−0.602476	−	0.347839i
$816$			17.5536i			0.614499i
$817$	−9.52151	+	35.5348i	−0.333115	+	1.24320i
$818$	−7.14279			−0.249742
$819$	7.75484	−	5.55540i	0.270976	−	0.194121i
$820$	35.5679			1.24209
$821$	5.36747	−	20.0317i	0.187326	−	0.699110i	−0.806795	−	0.590832i	$-0.798800\pi$
$821$	5.36747	−	20.0317i	0.187326	−	0.699110i	0.994121	−	0.108278i	$-0.0345338\pi$
$822$			3.41471i			0.119102i
$823$	25.7936	+	14.8920i	0.899110	+	0.519101i	0.876911	−	0.480652i	$-0.159600\pi$
$823$	25.7936	+	14.8920i	0.899110	+	0.519101i	0.0221983	+	0.999754i	$0.492933\pi$
$824$	−2.76412	−	10.3158i	−0.0962925	−	0.359369i
$825$	0.0911087	+	0.0244125i	0.00317200	+	0.000849934i
$826$	−5.35549	−	9.62036i	−0.186341	−	0.334735i
$827$	19.9192	−	19.9192i	0.692657	−	0.692657i	−0.270159	−	0.962816i	$-0.587076\pi$
$827$	19.9192	−	19.9192i	0.692657	−	0.692657i	0.962816	+	0.270159i	$0.0870762\pi$
$828$	−12.1470			−0.422137
$829$	−55.6753			−1.93368			−0.966842	−	0.255375i	$-0.917801\pi$
$829$	−55.6753			−1.93368			−0.966842	+	0.255375i	$0.917801\pi$
$830$	−5.61774	+	5.61774i	−0.194995	+	0.194995i
$831$	−8.58226	+	14.8649i	−0.297715	+	0.515658i
$832$	−2.18802	−	19.1652i	−0.0758561	−	0.664435i
$833$	17.5059	+	32.6375i	0.606543	+	1.13082i
$834$	−2.59863	+	0.696302i	−0.0899834	+	0.0241110i
$835$	14.0954	+	24.4140i	0.487792	+	0.844880i
$836$	−1.30816	+	2.26580i	−0.0452436	+	0.0783642i
$837$	0.681417	−	2.54308i	0.0235532	−	0.0879018i
$838$	−6.03908	+	6.03908i	−0.208617	+	0.208617i
$839$	6.33639	−	23.6477i	0.218756	−	0.816410i	−0.766054	−	0.642776i	$-0.777782\pi$
$839$	6.33639	−	23.6477i	0.218756	−	0.816410i	0.984810	−	0.173634i	$-0.0555509\pi$
$840$	−0.116897	+	7.47402i	−0.00403333	+	0.257878i
$841$	11.5498	+	20.0049i	0.398271	+	0.689825i
$842$	3.80331	−	2.19584i	0.131071	−	0.0756737i
$843$	4.65266	+	4.65266i	0.160246	+	0.160246i
$844$	−33.9800	+	19.6184i	−1.16964	+	0.675292i
$845$	13.0484	+	24.5135i	0.448878	+	0.843290i
$846$			4.35526i			0.149737i
$847$	14.0957	+	25.3209i	0.484334	+	0.870036i
$848$	−6.55653	+	11.3562i	−0.225152	+	0.389975i
$849$		−	1.06549i		−	0.0365677i
$850$	−0.760238	−	0.203705i	−0.0260759	−	0.00698703i
$851$	−24.0672	+	6.44878i	−0.825012	+	0.221061i
$852$	−3.36588	−	3.36588i	−0.115313	−	0.115313i
$853$	15.2909	+	15.2909i	0.523552	+	0.523552i	0.918642	−	0.395091i	$-0.129287\pi$
$853$	15.2909	+	15.2909i	0.523552	+	0.523552i	−0.395091	+	0.918642i	$0.629287\pi$
$854$	2.46306	−	0.618858i	0.0842842	−	0.0211769i
$855$	−11.8983	−	6.86946i	−0.406912	−	0.234931i
$856$	2.11849	+	0.567648i	0.0724085	+	0.0194018i
$857$	13.8108	+	23.9210i	0.471768	+	0.817126i	0.999478	−	0.0322984i	$-0.0102827\pi$
$857$	13.8108	+	23.9210i	0.471768	+	0.817126i	−0.527710	+	0.849424i	$0.676949\pi$
$858$	0.213058	−	0.157729i	0.00727367	−	0.00538479i
$859$	−43.7308	−	25.2480i	−1.49208	−	0.861451i	−0.492117	−	0.870529i	$-0.663777\pi$
$859$	−43.7308	−	25.2480i	−1.49208	−	0.861451i	−0.999959	+	0.00907825i	$0.997110\pi$
$860$	−5.95812	−	22.2360i	−0.203170	−	0.758241i
$861$	−16.7902	+	16.2731i	−0.572208	+	0.554584i
$862$	2.16967	−	1.25266i	0.0738993	−	0.0426658i
$863$	−10.3687	+	2.77829i	−0.352956	+	0.0945742i	−0.430940	−	0.902380i	$-0.641818\pi$
$863$	−10.3687	+	2.77829i	−0.352956	+	0.0945742i	0.0779848	+	0.996955i	$0.475151\pi$
$864$	−0.977025	−	3.64631i	−0.0332391	−	0.124050i
$865$	5.05822	+	18.8775i	0.171985	+	0.641856i
$866$	9.56039	−	2.56170i	0.324875	−	0.0870500i
$867$	−9.52035	+	5.49658i	−0.323328	+	0.186674i
$868$	−12.6219	−	3.59450i	−0.428415	−	0.122005i
$869$	0.813977	+	3.03780i	0.0276123	+	0.103050i
$870$	1.53018	+	0.883448i	0.0518779	+	0.0299517i
$871$	−4.75958	−	3.78417i	−0.161272	−	0.128222i
$872$	−9.60104	−	16.6295i	−0.325132	−	0.563145i
$873$	7.90466	+	2.11805i	0.267532	+	0.0716850i
$874$	12.2284	+	7.06008i	0.413632	+	0.238811i
$875$	29.5526	+	8.41608i	0.999060	+	0.284516i
$876$	−0.0455130	−	0.0455130i	−0.00153774	−	0.00153774i
$877$	37.3884	+	37.3884i	1.26252	+	1.26252i	0.949869	+	0.312647i	$0.101216\pi$
$877$	37.3884	+	37.3884i	1.26252	+	1.26252i	0.312647	+	0.949869i	$0.398784\pi$
$878$	−0.770698	+	0.206508i	−0.0260098	+	0.00696930i
$879$	22.9825	+	6.15816i	0.775182	+	0.207709i
$880$		−	1.53021i		−	0.0515833i
$881$	6.56027	−	11.3627i	0.221021	−	0.382820i	−0.734097	−	0.679044i	$-0.762394\pi$
$881$	6.56027	−	11.3627i	0.221021	−	0.382820i	0.955118	+	0.296225i	$0.0957277\pi$
$882$	−1.63195	−	1.73737i	−0.0549506	−	0.0585003i
$883$		−	27.2609i		−	0.917403i	−0.888590	−	0.458702i	$-0.848315\pi$
$883$		−	27.2609i		−	0.917403i	0.888590	−	0.458702i	$-0.151685\pi$
$884$	28.8865	−	21.3851i	0.971558	−	0.719257i
$885$	−22.6090	+	13.0533i	−0.759994	+	0.438783i
$886$	−0.647116	−	0.647116i	−0.0217403	−	0.0217403i
$887$	38.2713	−	22.0959i	1.28502	−	0.741909i	0.307261	−	0.951625i	$-0.400588\pi$
$887$	38.2713	−	22.0959i	1.28502	−	0.741909i	0.977762	+	0.209717i	$0.0672542\pi$
$888$	−2.55564	−	4.42650i	−0.0857617	−	0.148544i
$889$	28.6541	+	0.448162i	0.961026	+	0.0150309i
$890$	−1.57592	+	5.88142i	−0.0528250	+	0.197146i
$891$	−0.152673	+	0.152673i	−0.00511475	+	0.00511475i
$892$	−1.48572	+	5.54479i	−0.0497456	+	0.185653i
$893$	−41.1304	+	71.2399i	−1.37638	+	2.38395i
$894$	−3.31213	−	5.73677i	−0.110774	−	0.191866i
$895$	−1.45497	+	0.389858i	−0.0486343	+	0.0130315i
$896$	−24.0476	+	6.04210i	−0.803375	+	0.201853i
$897$	13.8315	+	18.6833i	0.461821	+	0.623819i
$898$	5.94594	−	10.2987i	0.198419	−	0.343671i
$899$	−4.52209	+	4.52209i	−0.150820	+	0.150820i
$900$	−0.823057			−0.0274352
$901$	−20.9117			−0.696670
$902$	−0.459451	+	0.459451i	−0.0152981	+	0.0152981i
$903$	12.9860	+	7.77076i	0.432148	+	0.258595i
$904$	12.7393	+	3.41348i	0.423702	+	0.113531i
$905$	13.0126	+	48.5635i	0.432552	+	1.61431i
$906$	1.90919	+	1.10227i	0.0634287	+	0.0366206i
$907$			46.5273i			1.54491i	0.635067	+	0.772457i	$0.280972\pi$
$907$			46.5273i			1.54491i	−0.635067	+	0.772457i	$0.719028\pi$
$908$	6.50146	−	24.2638i	0.215759	−	0.805222i
$909$	−4.02951			−0.133651
$910$	5.64088	−	4.04100i	0.186993	−	0.133958i
$911$	−9.74623			−0.322907			−0.161453	−	0.986880i	$-0.551618\pi$
$911$	−9.74623			−0.322907			−0.161453	+	0.986880i	$0.551618\pi$
$912$	5.52277	−	20.6113i	0.182877	−	0.682507i
$913$			2.35820i			0.0780450i
$914$	6.14585	+	3.54831i	0.203287	+	0.117368i
$915$	−1.55850	−	5.81638i	−0.0515223	−	0.192284i
$916$	11.1804	+	2.99579i	0.369412	+	0.0989837i
$917$	9.98715	+	0.156204i	0.329805	+	0.00515830i
$918$	1.27395	−	1.27395i	0.0420466	−	0.0420466i
$919$	−25.1249			−0.828793			−0.414396	−	0.910097i	$-0.636007\pi$
$919$	−25.1249			−0.828793			−0.414396	+	0.910097i	$0.636007\pi$
$920$	−18.2153			−0.600540
$921$	−0.432841	+	0.432841i	−0.0142626	+	0.0142626i
$922$	−2.25483	+	3.90549i	−0.0742590	+	0.128620i
$923$	−1.34441	+	9.00972i	−0.0442519	+	0.296558i
$924$	0.749039	+	0.772842i	0.0246416	+	0.0254246i
$925$	−1.63074	+	0.436957i	−0.0536185	+	0.0143670i
$926$	0.628768	+	1.08906i	0.0206626	+	0.0357887i
$927$	4.03742	−	6.99302i	0.132606	−	0.229681i
$928$	−2.37325	+	8.85708i	−0.0779057	+	0.290748i
$929$	6.45022	−	6.45022i	0.211625	−	0.211625i	−0.593332	−	0.804957i	$-0.702188\pi$
$929$	6.45022	−	6.45022i	0.211625	−	0.211625i	0.804957	+	0.593332i	$0.202188\pi$
$930$	0.495663	−	1.84984i	0.0162534	−	0.0606587i
$931$	−10.2867	−	43.8304i	−0.337133	−	1.43648i
$932$	−23.4501	−	40.6168i	−0.768135	−	1.33045i
$933$	17.3648	−	10.0256i	0.568499	−	0.328223i
$934$	−9.33665	−	9.33665i	−0.305505	−	0.305505i
$935$	2.11333	−	1.22013i	0.0691132	−	0.0399025i
$936$	−2.96772	+	3.73268i	−0.0970030	+	0.122006i
$937$		−	50.1845i		−	1.63946i	−0.572752	−	0.819729i	$-0.694124\pi$
$937$		−	50.1845i		−	1.63946i	0.572752	−	0.819729i	$-0.305876\pi$
$938$	−0.780172	+	1.30378i	−0.0254735	+	0.0425698i
$939$	12.5964	−	21.8176i	0.411067	−	0.711989i
$940$		−	51.4750i		−	1.67893i
$941$	28.8597	+	7.73295i	0.940801	+	0.252087i	0.696454	−	0.717601i	$-0.254760\pi$
$941$	28.8597	+	7.73295i	0.940801	+	0.252087i	0.244347	+	0.969688i	$0.421427\pi$
$942$	−5.96409	+	1.59807i	−0.194321	+	0.0520680i
$943$	−40.2900	−	40.2900i	−1.31202	−	1.31202i
$944$	−28.6711	−	28.6711i	−0.933165	−	0.933165i
$945$	−4.05838	+	3.93339i	−0.132019	+	0.127953i
$946$	0.364200	+	0.210271i	0.0118411	+	0.00683649i
$947$	44.0754	+	11.8100i	1.43226	+	0.383773i	0.889816	−	0.456320i	$-0.150833\pi$
$947$	44.0754	+	11.8100i	1.43226	+	0.383773i	0.542443	+	0.840093i	$0.317499\pi$
$948$	−13.7214	−	23.7662i	−0.445652	−	0.771891i
$949$	−0.0181790	+	0.121828i	−0.000590116	+	0.00395472i
$950$	0.828573	+	0.478377i	0.0268825	+	0.0155206i
$951$	1.05308	+	3.93015i	0.0341485	+	0.127444i
$952$	−12.8851	−	13.2945i	−0.417607	−	0.430878i
$953$	−27.4143	+	15.8276i	−0.888035	+	0.512707i	−0.873299	−	0.487184i	$-0.838024\pi$
$953$	−27.4143	+	15.8276i	−0.888035	+	0.512707i	−0.0147356	+	0.999891i	$0.504691\pi$
$954$	1.30002	−	0.348338i	0.0420896	−	0.0112779i
$955$	12.5131	+	46.6994i	0.404913	+	1.51116i
$956$	3.57676	+	13.3487i	0.115681	+	0.431727i
$957$	0.506593	−	0.135741i	0.0163758	−	0.00438789i
$958$	−0.241845	+	0.139629i	−0.00781365	+	0.00451121i
$959$	18.4649	+	19.0516i	0.596262	+	0.615210i
$960$	2.95790	+	11.0390i	0.0954657	+	0.356283i
$961$	−20.8438	−	12.0342i	−0.672382	−	0.388200i
$962$	−1.89099	+	4.35169i	−0.0609680	+	0.140304i
$963$	0.829137	+	1.43611i	0.0267186	+	0.0462779i
$964$	39.6345	+	10.6200i	1.27654	+	0.342048i
$965$	−12.6681	−	7.31394i	−0.407801	−	0.235444i
$966$	4.17100	−	4.04254i	0.134200	−	0.130066i
$967$	−37.7663	−	37.7663i	−1.21448	−	1.21448i	−0.969537	−	0.244946i	$-0.921230\pi$
$967$	−37.7663	−	37.7663i	−1.21448	−	1.21448i	−0.244946	−	0.969537i	$-0.578770\pi$
$968$	−10.2438	−	10.2438i	−0.329247	−	0.329247i
$969$	32.8693	−	8.80730i	1.05591	−	0.282931i
$970$	5.74985	+	1.54067i	0.184617	+	0.0494679i
$971$		−	2.33023i		−	0.0747805i	−0.999301	−	0.0373903i	$-0.988096\pi$
$971$		−	2.33023i		−	0.0747805i	0.999301	−	0.0373903i	$-0.0119045\pi$
$972$	0.942023	−	1.63163i	0.0302154	−	0.0523346i
$973$	−10.7333	+	17.9369i	−0.344094	+	0.575030i
$974$		−	4.81590i		−	0.154311i
$975$	0.937197	+	1.26595i	0.0300143	+	0.0405427i
$976$	8.09931	−	4.67614i	0.259253	−	0.149680i
$977$	−11.3415	−	11.3415i	−0.362847	−	0.362847i	0.502013	−	0.864860i	$-0.332593\pi$
$977$	−11.3415	−	11.3415i	−0.362847	−	0.362847i	−0.864860	+	0.502013i	$0.832593\pi$
$978$	−2.74175	+	1.58295i	−0.0876715	+	0.0506172i
$979$	0.903676	+	1.56521i	0.0288816	+	0.0500244i
$980$	19.2881	+	20.5340i	0.616135	+	0.655936i
$981$	3.75767	−	14.0238i	0.119973	−	0.447746i
$982$	−0.294301	+	0.294301i	−0.00939152	+	0.00939152i
$983$	1.65956	−	6.19357i	0.0529318	−	0.197544i	−0.934397	−	0.356234i	$-0.884060\pi$
$983$	1.65956	−	6.19357i	0.0529318	−	0.197544i	0.987328	+	0.158690i	$0.0507271\pi$
$984$	5.84428	−	10.1226i	0.186309	−	0.322696i
$985$	6.94674	+	12.0321i	0.221341	+	0.383375i
$986$	−4.22716	+	1.13266i	−0.134620	+	0.0360714i
$987$	23.5509	+	24.2993i	0.749632	+	0.773454i
$988$	−40.6465	+	16.0218i	−1.29314	+	0.509720i
$989$	−18.4390	+	31.9372i	−0.586325	+	1.01554i
$990$	−0.111055	+	0.111055i	−0.00352955	+	0.00352955i
$991$	15.0152			0.476973			0.238486	−	0.971146i	$-0.423349\pi$
$991$	15.0152			0.476973			0.238486	+	0.971146i	$0.423349\pi$
$992$	9.93862			0.315552
$993$	−0.241595	+	0.241595i	−0.00766680	+	0.00766680i
$994$	2.27593	+	0.0355966i	0.0721881	+	0.00112906i
$995$	−35.8291	−	9.60038i	−1.13586	−	0.304352i
$996$	−5.32587	−	19.8764i	−0.168757	−	0.629808i
$997$	−22.9432	−	13.2462i	−0.726617	−	0.419512i	0.0905663	−	0.995890i	$-0.471132\pi$
$997$	−22.9432	−	13.2462i	−0.726617	−	0.419512i	−0.817183	+	0.576378i	$0.804466\pi$
$998$		−	9.61073i		−	0.304222i
$999$	1.00023	−	3.73291i	0.0316459	−	0.118104i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cg.b.124.5	yes	40
3.2	odd	2		819.2.gh.d.397.6		40
7.3	odd	6		273.2.bt.b.241.5	yes	40
13.2	odd	12		273.2.bt.b.145.5	✓	40
21.17	even	6		819.2.et.d.514.6		40
39.2	even	12		819.2.et.d.145.6		40
91.80	even	12	inner	273.2.cg.b.262.5	yes	40
273.80	odd	12		819.2.gh.d.262.6		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.b.145.5	✓	40	13.2	odd	12
273.2.bt.b.241.5	yes	40	7.3	odd	6
273.2.cg.b.124.5	yes	40	1.1	even	1	trivial
273.2.cg.b.262.5	yes	40	91.80	even	12	inner
819.2.et.d.145.6		40	39.2	even	12
819.2.et.d.514.6		40	21.17	even	6
819.2.gh.d.262.6		40	273.80	odd	12
819.2.gh.d.397.6		40	3.2	odd	2

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0881329 + 0.328916i) q^{2} -1.00000i q^{3} +(1.63163 + 0.942023i) q^{4} +(0.552877 + 2.06336i) q^{5} +(0.328916 + 0.0881329i) q^{6} +(2.31170 - 1.28688i) q^{7} +(-0.935214 + 0.935214i) q^{8} -1.00000 q^{9} +O(q^{10})\)	\(q+(-0.0881329 + 0.328916i) q^{2} -1.00000i q^{3} +(1.63163 + 0.942023i) q^{4} +(0.552877 + 2.06336i) q^{5} +(0.328916 + 0.0881329i) q^{6} +(2.31170 - 1.28688i) q^{7} +(-0.935214 + 0.935214i) q^{8} -1.00000 q^{9} -0.727401 q^{10} +(-0.152673 + 0.152673i) q^{11} +(0.942023 - 1.63163i) q^{12} +(-3.58228 + 0.408976i) q^{13} +(0.219540 + 0.873771i) q^{14} +(2.06336 - 0.552877i) q^{15} +(1.65886 + 2.87323i) q^{16} +(-2.64543 + 4.58202i) q^{17} +(0.0881329 - 0.328916i) q^{18} +(4.54784 - 4.54784i) q^{19} +(-1.04165 + 3.88747i) q^{20} +(-1.28688 - 2.31170i) q^{21} +(-0.0367612 - 0.0636723i) q^{22} +(5.58352 - 3.22365i) q^{23} +(0.935214 + 0.935214i) q^{24} +(0.378328 - 0.218428i) q^{25} +(0.181198 - 1.21432i) q^{26} +1.00000i q^{27} +(4.98411 + 0.0779537i) q^{28} +(1.21453 - 2.10362i) q^{29} +0.727401i q^{30} +(-2.54308 - 0.681417i) q^{31} +(-3.64631 + 0.977025i) q^{32} +(0.152673 + 0.152673i) q^{33} +(-1.27395 - 1.27395i) q^{34} +(3.93339 + 4.05838i) q^{35} +(-1.63163 - 0.942023i) q^{36} +(-3.73291 - 1.00023i) q^{37} +(1.09505 + 1.89667i) q^{38} +(0.408976 + 3.58228i) q^{39} +(-2.44675 - 1.41263i) q^{40} +(-2.28734 - 8.53647i) q^{41} +(0.873771 - 0.219540i) q^{42} +(-4.95359 + 2.85995i) q^{43} +(-0.392928 + 0.105285i) q^{44} +(-0.552877 - 2.06336i) q^{45} +(0.568219 + 2.12062i) q^{46} +(-12.3542 + 3.31031i) q^{47} +(2.87323 - 1.65886i) q^{48} +(3.68787 - 5.94976i) q^{49} +(0.0385014 + 0.143689i) q^{50} +(4.58202 + 2.64543i) q^{51} +(-6.23023 - 2.70729i) q^{52} +(1.97621 + 3.42290i) q^{53} +(-0.328916 - 0.0881329i) q^{54} +(-0.399430 - 0.230611i) q^{55} +(-0.958421 + 3.36544i) q^{56} +(-4.54784 - 4.54784i) q^{57} +(0.584876 + 0.584876i) q^{58} +(-11.8049 + 3.16312i) q^{59} +(3.88747 + 1.04165i) q^{60} -2.81888i q^{61} +(0.448258 - 0.776406i) q^{62} +(-2.31170 + 1.28688i) q^{63} +5.35001i q^{64} +(-2.82443 - 7.16544i) q^{65} +(-0.0636723 + 0.0367612i) q^{66} +(1.19250 + 1.19250i) q^{67} +(-8.63273 + 4.98411i) q^{68} +(-3.22365 - 5.58352i) q^{69} +(-1.68153 + 0.936079i) q^{70} +(0.653910 - 2.44042i) q^{71} +(0.935214 - 0.935214i) q^{72} +(0.00884210 - 0.0329992i) q^{73} +(0.657984 - 1.13966i) q^{74} +(-0.218428 - 0.378328i) q^{75} +(11.7046 - 3.13623i) q^{76} +(-0.156462 + 0.549406i) q^{77} +(-1.21432 - 0.181198i) q^{78} +(7.28296 - 12.6145i) q^{79} +(-5.01138 + 5.01138i) q^{80} +1.00000 q^{81} +3.00938 q^{82} +(7.72303 - 7.72303i) q^{83} +(0.0779537 - 4.98411i) q^{84} +(-10.9170 - 2.92519i) q^{85} +(-0.504112 - 1.88137i) q^{86} +(-2.10362 - 1.21453i) q^{87} -0.285564i q^{88} +(2.16651 - 8.08553i) q^{89} +0.727401 q^{90} +(-7.75484 + 5.55540i) q^{91} +12.1470 q^{92} +(-0.681417 + 2.54308i) q^{93} -4.35526i q^{94} +(11.8983 + 6.86946i) q^{95} +(0.977025 + 3.64631i) q^{96} +(-7.90466 - 2.11805i) q^{97} +(1.63195 + 1.73737i) q^{98} +(0.152673 - 0.152673i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 8 q^{7} - 40 q^{9}+O(q^{10}) \) 40 * q - 8 * q^7 - 40 * q^9	\( 40 q - 8 q^{7} - 40 q^{9} + 4 q^{11} - 24 q^{12} - 18 q^{14} + 32 q^{16} + 4 q^{17} + 14 q^{19} + 14 q^{20} + 2 q^{21} + 4 q^{22} + 12 q^{23} + 24 q^{25} - 32 q^{26} + 16 q^{28} + 8 q^{29} + 14 q^{31} - 26 q^{32} - 4 q^{33} - 24 q^{34} + 26 q^{35} + 36 q^{37} - 8 q^{38} + 18 q^{39} - 30 q^{40} - 2 q^{41} - 66 q^{43} - 32 q^{44} - 26 q^{46} - 4 q^{47} + 24 q^{48} - 14 q^{49} - 20 q^{50} + 2 q^{52} - 8 q^{53} - 42 q^{55} + 46 q^{56} - 14 q^{57} + 24 q^{58} + 14 q^{59} + 2 q^{60} + 24 q^{62} + 8 q^{63} + 28 q^{65} - 18 q^{66} - 44 q^{67} - 18 q^{68} + 4 q^{69} - 4 q^{70} - 6 q^{71} + 14 q^{73} - 20 q^{74} + 24 q^{75} - 64 q^{76} + 24 q^{77} + 8 q^{78} + 20 q^{80} + 40 q^{81} + 48 q^{82} - 12 q^{83} + 22 q^{84} + 2 q^{85} - 60 q^{86} + 18 q^{87} - 2 q^{89} - 14 q^{91} + 236 q^{92} - 8 q^{93} + 24 q^{95} + 16 q^{96} - 62 q^{97} - 88 q^{98} - 4 q^{99}+O(q^{100}) \) 40 * q - 8 * q^7 - 40 * q^9 + 4 * q^11 - 24 * q^12 - 18 * q^14 + 32 * q^16 + 4 * q^17 + 14 * q^19 + 14 * q^20 + 2 * q^21 + 4 * q^22 + 12 * q^23 + 24 * q^25 - 32 * q^26 + 16 * q^28 + 8 * q^29 + 14 * q^31 - 26 * q^32 - 4 * q^33 - 24 * q^34 + 26 * q^35 + 36 * q^37 - 8 * q^38 + 18 * q^39 - 30 * q^40 - 2 * q^41 - 66 * q^43 - 32 * q^44 - 26 * q^46 - 4 * q^47 + 24 * q^48 - 14 * q^49 - 20 * q^50 + 2 * q^52 - 8 * q^53 - 42 * q^55 + 46 * q^56 - 14 * q^57 + 24 * q^58 + 14 * q^59 + 2 * q^60 + 24 * q^62 + 8 * q^63 + 28 * q^65 - 18 * q^66 - 44 * q^67 - 18 * q^68 + 4 * q^69 - 4 * q^70 - 6 * q^71 + 14 * q^73 - 20 * q^74 + 24 * q^75 - 64 * q^76 + 24 * q^77 + 8 * q^78 + 20 * q^80 + 40 * q^81 + 48 * q^82 - 12 * q^83 + 22 * q^84 + 2 * q^85 - 60 * q^86 + 18 * q^87 - 2 * q^89 - 14 * q^91 + 236 * q^92 - 8 * q^93 + 24 * q^95 + 16 * q^96 - 62 * q^97 - 88 * q^98 - 4 * q^99

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