LMFDB - Embedded newform 280.2.br.a.67.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			67.8
Character	$\chi$	$=$	280.67
Dual form			280.2.br.a.163.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.18837 - 0.766666i) q^{2} +(0.205610 + 0.767348i) q^{3} +(0.824448 + 1.82217i) q^{4} +(1.68075 + 1.47481i) q^{5} +(0.343958 - 1.06953i) q^{6} +(-2.28076 + 1.34095i) q^{7} +(0.417242 - 2.79748i) q^{8} +(2.05153 - 1.18445i) q^{9} +O(q^{10})$	\(q+(-1.18837 - 0.766666i) q^{2} +(0.205610 + 0.767348i) q^{3} +(0.824448 + 1.82217i) q^{4} +(1.68075 + 1.47481i) q^{5} +(0.343958 - 1.06953i) q^{6} +(-2.28076 + 1.34095i) q^{7} +(0.417242 - 2.79748i) q^{8} +(2.05153 - 1.18445i) q^{9} +(-0.866669 - 3.04120i) q^{10} +(-2.69162 + 4.66202i) q^{11} +(-1.22872 + 1.00729i) q^{12} +(0.119049 + 0.119049i) q^{13} +(3.73844 + 0.155030i) q^{14} +(-0.786114 + 1.59296i) q^{15} +(-2.64057 + 3.00456i) q^{16} +(-4.46307 + 1.19588i) q^{17} +(-3.34605 - 0.165270i) q^{18} +(1.01271 - 0.584690i) q^{19} +(-1.30166 + 4.27851i) q^{20} +(-1.49792 - 1.47442i) q^{21} +(6.77285 - 3.47664i) q^{22} +(0.118689 - 0.442952i) q^{23} +(2.23243 - 0.255021i) q^{24} +(0.649858 + 4.95759i) q^{25} +(-0.0502036 - 0.232745i) q^{26} +(3.01591 + 3.01591i) q^{27} +(-4.32380 - 3.05037i) q^{28} +5.92466 q^{29} +(2.15546 - 1.29034i) q^{30} +(6.46598 + 3.73313i) q^{31} +(5.44147 - 1.54609i) q^{32} +(-4.13082 - 1.10685i) q^{33} +(6.22062 + 2.00054i) q^{34} +(-5.81104 - 1.10988i) q^{35} +(3.84964 + 2.76171i) q^{36} +(4.50268 + 1.20649i) q^{37} +(-1.65174 - 0.0815838i) q^{38} +(-0.0668744 + 0.115830i) q^{39} +(4.82704 - 4.08652i) q^{40} -7.53811 q^{41} +(0.649701 + 2.90056i) q^{42} +(3.70533 - 3.70533i) q^{43} +(-10.7141 - 1.06098i) q^{44} +(5.19495 + 1.03485i) q^{45} +(-0.480642 + 0.435396i) q^{46} +(-10.0081 - 2.68167i) q^{47} +(-2.84847 - 1.40847i) q^{48} +(3.40370 - 6.11677i) q^{49} +(3.02854 - 6.38967i) q^{50} +(-1.83531 - 3.17885i) q^{51} +(-0.118777 + 0.315077i) q^{52} +(0.0393090 - 0.0105328i) q^{53} +(-1.27183 - 5.89622i) q^{54} +(-11.3995 + 3.86607i) q^{55} +(2.79966 + 6.93988i) q^{56} +(0.656885 + 0.656885i) q^{57} +(-7.04069 - 4.54223i) q^{58} +(3.51551 + 2.02968i) q^{59} +(-3.55074 - 0.119118i) q^{60} +(7.68399 - 4.43635i) q^{61} +(-4.82191 - 9.39359i) q^{62} +(-3.09075 + 5.45244i) q^{63} +(-7.65182 - 2.33445i) q^{64} +(0.0245170 + 0.375667i) q^{65} +(4.06036 + 4.48230i) q^{66} +(-1.84591 + 0.494611i) q^{67} +(-5.85866 - 7.14652i) q^{68} +0.364302 q^{69} +(6.05476 + 5.77407i) q^{70} -9.18887i q^{71} +(-2.45750 - 6.23332i) q^{72} +(-1.29846 - 4.84593i) q^{73} +(-4.42588 - 4.88581i) q^{74} +(-3.67058 + 1.51800i) q^{75} +(1.90033 + 1.36328i) q^{76} +(-0.112618 - 14.2423i) q^{77} +(0.168274 - 0.0863785i) q^{78} +(1.88125 + 3.25842i) q^{79} +(-8.86931 + 1.15558i) q^{80} +(1.85920 - 3.22023i) q^{81} +(8.95806 + 5.77921i) q^{82} +(2.95365 - 2.95365i) q^{83} +(1.45168 - 3.94505i) q^{84} +(-9.26502 - 4.57222i) q^{85} +(-7.24405 + 1.56255i) q^{86} +(1.21817 + 4.54627i) q^{87} +(11.9189 + 9.47495i) q^{88} +(-5.18897 + 2.99585i) q^{89} +(-5.38015 - 5.21258i) q^{90} +(-0.431161 - 0.111883i) q^{91} +(0.904984 - 0.148920i) q^{92} +(-1.53514 + 5.72923i) q^{93} +(9.83740 + 10.8597i) q^{94} +(2.56443 + 0.510842i) q^{95} +(2.30521 + 3.85761i) q^{96} +(12.9915 + 12.9915i) q^{97} +(-8.73437 + 4.65949i) q^{98} +12.7524i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.18837	−	0.766666i	−0.840305	−	0.542114i
$2$	−1.18837	−	0.766666i	−0.840305	−	0.542114i
$3$	0.205610	+	0.767348i	0.118709	+	0.443029i	0.999538	−	0.0304070i	$-0.00968034\pi$
$3$	0.205610	+	0.767348i	0.118709	+	0.443029i	−0.880828	+	0.473436i	$0.843014\pi$
$4$	0.824448	+	1.82217i	0.412224	+	0.911083i
$5$	1.68075	+	1.47481i	0.751655	+	0.659556i
$5$	1.68075	+	1.47481i	0.751655	+	0.659556i
$6$	0.343958	−	1.06953i	0.140420	−	0.436633i
$7$	−2.28076	+	1.34095i	−0.862045	+	0.506832i
$7$	−2.28076	+	1.34095i	−0.862045	+	0.506832i
$8$	0.417242	−	2.79748i	0.147517	−	0.989059i
$9$	2.05153	−	1.18445i	0.683843	−	0.394817i
$10$	−0.866669	−	3.04120i	−0.274065	−	0.961711i
$11$	−2.69162	+	4.66202i	−0.811554	+	1.40565i	0.100223	+	0.994965i	$0.468044\pi$
$11$	−2.69162	+	4.66202i	−0.811554	+	1.40565i	−0.911776	+	0.410687i	$0.865289\pi$
$12$	−1.22872	+	1.00729i	−0.354701	+	0.290781i
$13$	0.119049	+	0.119049i	0.0330183	+	0.0330183i	0.723423	−	0.690405i	$-0.242568\pi$
$13$	0.119049	+	0.119049i	0.0330183	+	0.0330183i	−0.690405	+	0.723423i	$0.742568\pi$
$14$	3.73844	+	0.155030i	0.999141	+	0.0414335i
$15$	−0.786114	+	1.59296i	−0.202974	+	0.411300i
$16$	−2.64057	+	3.00456i	−0.660143	+	0.751140i
$17$	−4.46307	+	1.19588i	−1.08245	+	0.290043i	−0.755601	−	0.655032i	$-0.772655\pi$
$17$	−4.46307	+	1.19588i	−1.08245	+	0.290043i	−0.326853	+	0.945075i	$0.605988\pi$
$18$	−3.34605	−	0.165270i	−0.788672	−	0.0389546i
$19$	1.01271	−	0.584690i	0.232332	−	0.134137i	−0.379315	−	0.925267i	$-0.623840\pi$
$19$	1.01271	−	0.584690i	0.232332	−	0.134137i	0.611647	+	0.791130i	$0.290507\pi$
$20$	−1.30166	+	4.27851i	−0.291060	+	0.956705i
$21$	−1.49792	−	1.47442i	−0.326874	−	0.321745i
$22$	6.77285	−	3.47664i	1.44398	−	0.741221i
$23$	0.118689	−	0.442952i	0.0247483	−	0.0923618i	−0.952447	−	0.304704i	$-0.901442\pi$
$23$	0.118689	−	0.442952i	0.0247483	−	0.0923618i	0.977195	+	0.212342i	$0.0681091\pi$
$24$	2.23243	−	0.255021i	0.455693	−	0.0520560i
$25$	0.649858	+	4.95759i	0.129972	+	0.991518i
$26$	−0.0502036	−	0.232745i	−0.00984573	−	0.0456451i
$27$	3.01591	+	3.01591i	0.580413	+	0.580413i
$28$	−4.32380	−	3.05037i	−0.817121	−	0.576466i
$29$	5.92466			1.10018			0.550091	−	0.835105i	$-0.314593\pi$
$29$	5.92466			1.10018			0.550091	+	0.835105i	$0.314593\pi$
$30$	2.15546	−	1.29034i	0.393532	−	0.235582i
$31$	6.46598	+	3.73313i	1.16132	+	0.670491i	0.951621	−	0.307274i	$-0.0994169\pi$
$31$	6.46598	+	3.73313i	1.16132	+	0.670491i	0.209703	+	0.977765i	$0.432750\pi$
$32$	5.44147	−	1.54609i	0.961925	−	0.273314i
$33$	−4.13082	−	1.10685i	−0.719083	−	0.192678i
$34$	6.22062	+	2.00054i	1.06683	+	0.343090i
$35$	−5.81104	−	1.10988i	−0.982245	−	0.187604i
$36$	3.84964	+	2.76171i	0.641607	+	0.460284i
$37$	4.50268	+	1.20649i	0.740236	+	0.198346i	0.609183	−	0.793030i	$-0.291498\pi$
$37$	4.50268	+	1.20649i	0.740236	+	0.198346i	0.131053	+	0.991375i	$0.458164\pi$
$38$	−1.65174	−	0.0815838i	−0.267947	−	0.0132346i
$39$	−0.0668744	+	0.115830i	−0.0107085	+	0.0185476i
$40$	4.82704	−	4.08652i	0.763222	−	0.646136i
$41$	−7.53811			−1.17725			−0.588627	−	0.808405i	$-0.700331\pi$
$41$	−7.53811			−1.17725			−0.588627	+	0.808405i	$0.700331\pi$
$42$	0.649701	+	2.90056i	0.100251	+	0.447567i
$43$	3.70533	−	3.70533i	0.565057	−	0.565057i	−0.365683	−	0.930740i	$-0.619164\pi$
$43$	3.70533	−	3.70533i	0.565057	−	0.565057i	0.930740	+	0.365683i	$0.119164\pi$
$44$	−10.7141	−	1.06098i	−1.61521	−	0.159949i
$45$	5.19495	+	1.03485i	0.774418	+	0.154266i
$46$	−0.480642	+	0.435396i	−0.0708668	+	0.0641957i
$47$	−10.0081	−	2.68167i	−1.45983	−	0.391161i	−0.560401	−	0.828221i	$-0.689353\pi$
$47$	−10.0081	−	2.68167i	−1.45983	−	0.391161i	−0.899432	+	0.437060i	$0.856020\pi$
$48$	−2.84847	−	1.40847i	−0.411142	−	0.203295i
$49$	3.40370	−	6.11677i	0.486242	−	0.873824i
$50$	3.02854	−	6.38967i	0.428300	−	0.903636i
$51$	−1.83531	−	3.17885i	−0.256994	−	0.445127i
$52$	−0.118777	+	0.315077i	−0.0164715	+	0.0436933i
$53$	0.0393090	−	0.0105328i	0.00539950	−	0.00144679i	−0.256118	−	0.966645i	$-0.582444\pi$
$53$	0.0393090	−	0.0105328i	0.00539950	−	0.00144679i	0.261518	+	0.965199i	$0.415777\pi$
$54$	−1.27183	−	5.89622i	−0.173074	−	0.802374i
$55$	−11.3995	+	3.86607i	−1.53711	+	0.521301i
$56$	2.79966	+	6.93988i	0.374121	+	0.927380i
$57$	0.656885	+	0.656885i	0.0870065	+	0.0870065i
$58$	−7.04069	−	4.54223i	−0.924488	−	0.596424i
$59$	3.51551	+	2.02968i	0.457680	+	0.264242i	0.711068	−	0.703123i	$-0.248212\pi$
$59$	3.51551	+	2.02968i	0.457680	+	0.264242i	−0.253388	+	0.967365i	$0.581545\pi$
$60$	−3.55074	−	0.119118i	−0.458399	−	0.0153781i
$61$	7.68399	−	4.43635i	0.983834	−	0.568017i	0.0804083	−	0.996762i	$-0.474378\pi$
$61$	7.68399	−	4.43635i	0.983834	−	0.568017i	0.903425	+	0.428745i	$0.141044\pi$
$62$	−4.82191	−	9.39359i	−0.612383	−	1.19299i
$63$	−3.09075	+	5.45244i	−0.389397	+	0.686943i
$64$	−7.65182	−	2.33445i	−0.956477	−	0.291807i
$65$	0.0245170	+	0.375667i	0.00304096	+	0.0465958i
$66$	4.06036	+	4.48230i	0.499795	+	0.551733i
$67$	−1.84591	+	0.494611i	−0.225514	+	0.0604263i	−0.369807	−	0.929109i	$-0.620576\pi$
$67$	−1.84591	+	0.494611i	−0.225514	+	0.0604263i	0.144293	+	0.989535i	$0.453909\pi$
$68$	−5.85866	−	7.14652i	−0.710466	−	0.866643i
$69$	0.364302			0.0438568
$70$	6.05476	+	5.77407i	0.723682	+	0.690133i
$71$		−	9.18887i		−	1.09052i	−0.838268	−	0.545259i	$-0.816431\pi$
$71$		−	9.18887i		−	1.09052i	0.838268	−	0.545259i	$-0.183569\pi$
$72$	−2.45750	−	6.23332i	−0.289619	−	0.734604i
$73$	−1.29846	−	4.84593i	−0.151973	−	0.567173i	−0.999346	−	0.0361731i	$-0.988483\pi$
$73$	−1.29846	−	4.84593i	−0.151973	−	0.567173i	0.847372	−	0.531000i	$-0.178183\pi$
$74$	−4.42588	−	4.88581i	−0.514498	−	0.567963i
$75$	−3.67058	+	1.51800i	−0.423842	+	0.175283i
$76$	1.90033	+	1.36328i	0.217983	+	0.156379i
$77$	−0.112618	−	14.2423i	−0.0128341	−	1.62306i
$78$	0.168274	−	0.0863785i	0.0190533	−	0.00978043i
$79$	1.88125	+	3.25842i	0.211657	+	0.366601i	0.952233	−	0.305371i	$-0.0987806\pi$
$79$	1.88125	+	3.25842i	0.211657	+	0.366601i	−0.740576	+	0.671973i	$0.765447\pi$
$80$	−8.86931	+	1.15558i	−0.991619	+	0.129197i
$81$	1.85920	−	3.22023i	0.206578	−	0.357803i
$82$	8.95806	+	5.77921i	0.989252	+	0.638206i
$83$	2.95365	−	2.95365i	0.324205	−	0.324205i	−0.526173	−	0.850378i	$-0.676373\pi$
$83$	2.95365	−	2.95365i	0.324205	−	0.324205i	0.850378	+	0.526173i	$0.176373\pi$
$84$	1.45168	−	3.94505i	0.158391	−	0.430440i
$85$	−9.26502	−	4.57222i	−1.00493	−	0.495927i
$86$	−7.24405	+	1.56255i	−0.781146	+	0.168495i
$87$	1.21817	+	4.54627i	0.130602	+	0.487412i
$88$	11.9189	+	9.47495i	1.27056	+	1.01003i
$89$	−5.18897	+	2.99585i	−0.550030	+	0.317560i	−0.749134	−	0.662419i	$-0.769530\pi$
$89$	−5.18897	+	2.99585i	−0.550030	+	0.317560i	0.199104	+	0.979978i	$0.436197\pi$
$90$	−5.38015	−	5.21258i	−0.567117	−	0.549454i
$91$	−0.431161	−	0.111883i	−0.0451980	−	0.0117285i
$92$	0.904984	−	0.148920i	0.0943511	−	0.0155260i
$93$	−1.53514	+	5.72923i	−0.159187	+	0.594093i
$94$	9.83740	+	10.8597i	1.01465	+	1.12009i
$95$	2.56443	+	0.510842i	0.263105	+	0.0524113i
$96$	2.30521	+	3.85761i	0.235275	+	0.393715i
$97$	12.9915	+	12.9915i	1.31909	+	1.31909i	0.914497	+	0.404594i	$0.132587\pi$
$97$	12.9915	+	12.9915i	1.31909	+	1.31909i	0.404594	+	0.914497i	$0.367413\pi$
$98$	−8.73437	+	4.65949i	−0.882304	+	0.470679i
$99$			12.7524i			1.28166i
$100$	−8.49777	+	5.27142i	−0.849777	+	0.527142i
$101$	−8.19264	−	4.73002i	−0.815198	−	0.470655i	0.0335596	−	0.999437i	$-0.489316\pi$
$101$	−8.19264	−	4.73002i	−0.815198	−	0.470655i	−0.848758	+	0.528782i	$0.822649\pi$
$102$	−0.256087	+	5.18471i	−0.0253564	+	0.513363i
$103$	0.663515	−	2.47627i	0.0653781	−	0.243994i	−0.925502	−	0.378744i	$-0.876356\pi$
$103$	0.663515	−	2.47627i	0.0653781	−	0.243994i	0.990880	+	0.134749i	$0.0430229\pi$
$104$	0.382710	−	0.283366i	0.0375278	−	0.0277863i
$105$	−0.343146	−	4.68729i	−0.0334876	−	0.457433i
$106$	−0.0547887	−	0.0176200i	−0.00532155	−	0.00171140i
$107$	3.55879	−	13.2816i	0.344042	−	1.28398i	−0.549686	−	0.835371i	$-0.685253\pi$
$107$	3.55879	−	13.2816i	0.344042	−	1.28398i	0.893728	−	0.448610i	$-0.148081\pi$
$108$	−3.00903	+	7.98196i	−0.289544	+	0.768064i
$109$	4.79018	−	8.29684i	0.458816	−	0.794693i	−0.540082	−	0.841612i	$-0.681607\pi$
$109$	4.79018	−	8.29684i	0.458816	−	0.794693i	0.998899	+	0.0469190i	$0.0149403\pi$
$110$	16.5109	+	4.14532i	1.57425	+	0.395241i
$111$			3.70319i			0.351491i
$112$	1.99353	−	10.3935i	0.188371	−	0.982098i
$113$	11.2748	−	11.2748i	1.06065	−	1.06065i	0.0626076	−	0.998038i	$-0.480058\pi$
$113$	11.2748	−	11.2748i	1.06065	−	1.06065i	0.998038	−	0.0626076i	$-0.0199417\pi$
$114$	−0.277011	−	1.28423i	−0.0259445	−	0.120279i
$115$	0.852757	−	0.569449i	0.0795200	−	0.0531014i
$116$	4.88457	+	10.7957i	0.453521	+	1.00236i
$117$	0.385241	+	0.103225i	0.0356155	+	0.00954315i
$118$	−2.62164	−	5.10723i	−0.241341	−	0.470158i
$119$	8.57557	−	8.71227i	0.786121	−	0.798652i
$120$	4.12827	+	2.86379i	0.376858	+	0.261427i
$121$	−8.98962	−	15.5705i	−0.817239	−	1.41550i
$122$	−12.5326	−	0.619019i	−1.13465	−	0.0560434i
$123$	−1.54991	−	5.78435i	−0.139751	−	0.521557i
$124$	−1.47153	+	14.8599i	−0.132147	+	1.33445i
$125$	−6.21926	+	9.29090i	−0.556268	+	0.831003i
$126$	7.85315	−	4.10995i	0.699614	−	0.366144i
$127$	3.70739	−	3.70739i	0.328978	−	0.328978i	−0.523220	−	0.852198i	$-0.675269\pi$
$127$	3.70739	−	3.70739i	0.328978	−	0.328978i	0.852198	+	0.523220i	$0.175269\pi$
$128$	7.30345	+	8.64058i	0.645540	+	0.763727i
$129$	3.60513	+	2.08142i	0.317414	+	0.183259i
$130$	0.258876	−	0.465228i	0.0227049	−	0.0408032i
$131$	7.52998	+	13.0423i	0.657898	+	1.13951i	0.981159	+	0.193202i	$0.0618873\pi$
$131$	7.52998	+	13.0423i	0.657898	+	1.13951i	−0.323261	+	0.946310i	$0.604779\pi$
$132$	−1.38878	−	8.43957i	−0.120878	−	0.734570i
$133$	−1.52571	+	2.69153i	−0.132296	+	0.233386i
$134$	2.57283	+	0.827417i	0.222258	+	0.0714779i
$135$	0.621099	+	9.51691i	0.0534557	+	0.819085i
$136$	1.48326	+	12.9843i	0.127189	+	1.11340i
$137$	3.29612	−	0.883193i	0.281607	−	0.0754562i	−0.115251	−	0.993336i	$-0.536767\pi$
$137$	3.29612	−	0.883193i	0.281607	−	0.0754562i	0.396858	+	0.917880i	$0.370101\pi$
$138$	−0.432925	−	0.279298i	−0.0368530	−	0.0237754i
$139$		−	9.82604i		−	0.833434i	−0.909036	−	0.416717i	$-0.863181\pi$
$139$		−	9.82604i		−	0.833434i	0.909036	−	0.416717i	$-0.136819\pi$
$140$	−2.76852	−	11.5037i	−0.233982	−	0.972241i
$141$		−	8.23108i		−	0.693182i
$142$	−7.04479	+	10.9198i	−0.591185	+	0.916367i
$143$	−0.875444	+	0.234575i	−0.0732083	+	0.0196161i
$144$	−1.85846	+	9.29157i	−0.154871	+	0.774297i
$145$	9.95788	+	8.73776i	0.826957	+	0.725631i
$146$	−2.17215	+	6.75424i	−0.179768	+	0.558985i
$147$	5.39352	+	1.35415i	0.444850	+	0.111688i
$148$	1.51380	+	9.19931i	0.124434	+	0.756179i
$149$	8.24169	+	14.2750i	0.675186	+	1.16946i	0.976415	+	0.215904i	$0.0692699\pi$
$149$	8.24169	+	14.2750i	0.675186	+	1.16946i	−0.301229	+	0.953552i	$0.597397\pi$
$150$	5.52580	+	1.01016i	0.451180	+	0.0824793i
$151$	−17.1231	−	9.88604i	−1.39346	−	0.804515i	−0.399764	−	0.916618i	$-0.630908\pi$
$151$	−17.1231	−	9.88604i	−1.39346	−	0.804515i	−0.993697	+	0.112104i	$0.964241\pi$
$152$	−1.21311	−	3.07700i	−0.0983965	−	0.249578i
$153$	−7.73967	+	7.73967i	−0.625715	+	0.625715i
$154$	−10.7852	+	17.0114i	−0.869098	+	1.37082i
$155$	5.36204	+	15.8106i	0.430689	+	1.26994i
$156$	−0.266196	−	0.0263605i	−0.0213127	−	0.00211053i
$157$	3.66177	+	13.6659i	0.292241	+	1.09066i	0.943384	+	0.331704i	$0.107624\pi$
$157$	3.66177	+	13.6659i	0.292241	+	1.09066i	−0.651142	+	0.758956i	$0.725710\pi$
$158$	0.262498	−	5.31451i	0.0208832	−	0.422799i
$159$	0.0161647	+	0.0279980i	0.00128194	+	0.00222039i
$160$	11.4260	+	5.42654i	0.903302	+	0.429006i
$161$	0.323277	+	1.16942i	0.0254778	+	0.0921632i
$162$	−4.67825	+	2.40144i	−0.367558	+	0.188675i
$163$	18.6478	+	4.99667i	1.46061	+	0.391369i	0.899700	−	0.436508i	$-0.143785\pi$
$163$	18.6478	+	4.99667i	1.46061	+	0.391369i	0.560909	+	0.827877i	$0.310452\pi$
$164$	−6.21477	−	13.7357i	−0.485292	−	1.07258i
$165$	−5.31049	−	7.95252i	−0.413421	−	0.619103i
$166$	−5.77449	+	1.24557i	−0.448188	+	0.0966748i
$167$	−1.95461	+	1.95461i	−0.151252	+	0.151252i	−0.778677	−	0.627425i	$-0.784109\pi$
$167$	−1.95461	+	1.95461i	−0.151252	+	0.151252i	0.627425	+	0.778677i	$0.284109\pi$
$168$	−4.74966	+	3.57523i	−0.366444	+	0.275835i
$169$		−	12.9717i		−	0.997820i
$170$	7.50490	+	12.5367i	0.575600	+	0.961518i
$171$	1.38507	−	2.39902i	0.105919	−	0.183457i
$172$	9.80657	+	3.69687i	0.747744	+	0.281884i
$173$	−3.11023	+	11.6075i	−0.236467	+	0.882505i	0.741016	+	0.671488i	$0.234344\pi$
$173$	−3.11023	+	11.6075i	−0.236467	+	0.882505i	−0.977482	+	0.211018i	$0.932322\pi$
$174$	2.03783	−	6.33659i	0.154488	−	0.480375i
$175$	−8.13006	−	10.4356i	−0.614574	−	0.788859i
$176$	−6.89991	−	20.3975i	−0.520100	−	1.53752i
$177$	−0.834646	+	3.11494i	−0.0627358	+	0.234133i
$178$	8.46323	+	0.418022i	0.634346	+	0.0313320i
$179$	−21.2942	−	12.2942i	−1.59161	−	0.918915i	−0.993032	−	0.117848i	$-0.962400\pi$
$179$	−21.2942	−	12.2942i	−1.59161	−	0.918915i	−0.598575	−	0.801067i	$-0.704266\pi$
$180$	2.39730	+	10.3192i	0.178684	+	0.769151i
$181$			7.57133i			0.562772i	0.959595	+	0.281386i	$0.0907942\pi$
$181$			7.57133i			0.562772i	−0.959595	+	0.281386i	$0.909206\pi$
$182$	0.426602	+	0.463515i	0.0316219	+	0.0343580i
$183$	4.98413	+	4.98413i	0.368438	+	0.368438i
$184$	−1.18963	−	0.516847i	−0.0877005	−	0.0381025i
$185$	5.78854	+	8.66842i	0.425582	+	0.637315i
$186$	6.21672	−	5.63150i	0.455832	−	0.412922i
$187$	6.43769	−	24.0258i	0.470771	−	1.75694i
$188$	−3.36473	−	20.4473i	−0.245398	−	1.49127i
$189$	−10.9228	−	2.83437i	−0.794514	−	0.206170i
$190$	−2.65584	−	2.57313i	−0.192675	−	0.186674i
$191$	16.8037	−	9.70160i	1.21587	−	0.701983i	0.251839	−	0.967769i	$-0.418965\pi$
$191$	16.8037	−	9.70160i	1.21587	−	0.701983i	0.964032	+	0.265786i	$0.0856314\pi$
$192$	0.218046	−	6.35160i	0.0157361	−	0.458387i
$193$	1.73862	+	6.48861i	0.125148	+	0.467060i	0.999845	−	0.0176109i	$-0.00560600\pi$
$193$	1.73862	+	6.48861i	0.125148	+	0.467060i	−0.874697	+	0.484671i	$0.838939\pi$
$194$	−5.47859	−	25.3989i	−0.393340	−	1.82354i
$195$	−0.283227	+	0.0960541i	−0.0202823	+	0.00687858i
$196$	13.9519	+	1.15914i	0.996567	+	0.0827959i
$197$	−17.5468	+	17.5468i	−1.25016	+	1.25016i	−0.294511	+	0.955648i	$0.595157\pi$
$197$	−17.5468	+	17.5468i	−1.25016	+	1.25016i	−0.955648	+	0.294511i	$0.904843\pi$
$198$	9.77680	−	15.1545i	0.694807	−	1.07699i
$199$	−2.17765	+	3.77180i	−0.154369	+	0.267376i	−0.932829	−	0.360319i	$-0.882668\pi$
$199$	−2.17765	+	3.77180i	−0.154369	+	0.267376i	0.778460	+	0.627694i	$0.216001\pi$
$200$	14.1399	+	0.250547i	0.999843	+	0.0177163i
$201$	−0.759077	−	1.31476i	−0.0535412	−	0.0927360i
$202$	6.10954	+	11.9020i	0.429866	+	0.837424i
$203$	−13.5127	+	7.94468i	−0.948406	+	0.557607i
$204$	4.27927	−	5.96503i	0.299609	−	0.417635i
$205$	−12.6697	−	11.1173i	−0.884889	−	0.776465i
$206$	−2.68697	+	2.43403i	−0.187210	+	0.169587i
$207$	−0.281161	−	1.04931i	−0.0195421	−	0.0729320i
$208$	−0.672048	+	0.0433325i	−0.0465982	+	0.00300457i
$209$			6.29505i			0.435438i
$210$	−3.18580	+	5.83332i	−0.219841	+	0.402537i
$211$	−13.2292			−0.910733			−0.455366	−	0.890304i	$-0.650492\pi$
$211$	−13.2292			−0.910733			−0.455366	+	0.890304i	$0.650492\pi$
$212$	0.0516007	+	0.0629437i	0.00354395	+	0.00432299i
$213$	7.05106	−	1.88933i	0.483131	−	0.129454i
$214$	−14.4117	+	13.0551i	−0.985164	+	0.892425i
$215$	11.6924	−	0.763077i	0.797415	−	0.0520414i
$216$	9.69533	−	7.17860i	0.659684	−	0.488442i
$217$	−19.7533	+	0.156196i	−1.34094	+	0.0106033i
$218$	−12.0534	+	6.18725i	−0.816360	+	0.419053i
$219$	3.45153	−	1.99274i	0.233233	−	0.134657i
$220$	−16.4430	−	17.5845i	−1.10858	−	1.18555i
$221$	−0.673693	−	0.388957i	−0.0453175	−	0.0261641i
$222$	2.83911	−	4.40076i	0.190548	−	0.295360i
$223$	−2.91832	−	2.91832i	−0.195425	−	0.195425i	0.602610	−	0.798035i	$-0.294127\pi$
$223$	−2.91832	−	2.91832i	−0.195425	−	0.195425i	−0.798035	+	0.602610i	$0.794127\pi$
$224$	−10.3374	+	10.8230i	−0.690698	+	0.723143i
$225$	7.20522	+	9.40091i	0.480348	+	0.626727i
$226$	−22.0427	+	4.75464i	−1.46626	+	0.316274i
$227$	−0.515266	+	0.138065i	−0.0341994	+	0.00916370i	−0.275878	−	0.961193i	$-0.588969\pi$
$227$	−0.515266	+	0.138065i	−0.0341994	+	0.00916370i	0.241679	+	0.970356i	$0.422302\pi$
$228$	−0.655385	+	1.73852i	−0.0434040	+	0.115136i
$229$	−8.93313	−	15.4726i	−0.590318	−	1.02246i	−0.994189	−	0.107645i	$-0.965669\pi$
$229$	−8.93313	−	15.4726i	−0.590318	−	1.02246i	0.403872	−	0.914816i	$-0.367664\pi$
$230$	−1.44997	+	0.0229370i	−0.0956080	+	0.00151242i
$231$	10.9056	−	3.01477i	0.717537	−	0.198358i
$232$	2.47202	−	16.5741i	0.162296	−	1.08814i
$233$	−3.11664	−	0.835102i	−0.204178	−	0.0547094i	0.155280	−	0.987870i	$-0.450372\pi$
$233$	−3.11664	−	0.835102i	−0.204178	−	0.0547094i	−0.359459	+	0.933161i	$0.617039\pi$
$234$	−0.378669	−	0.418020i	−0.0247544	−	0.0273268i
$235$	−12.8662	−	19.2673i	−0.839299	−	1.25686i
$236$	−0.800058	+	8.07920i	−0.0520793	+	0.525911i
$237$	−2.11354	+	2.11354i	−0.137289	+	0.137289i
$238$	−16.8703	+	3.77881i	−1.09354	+	0.244944i
$239$	1.25300			0.0810499			0.0405250	−	0.999179i	$-0.487097\pi$
$239$	1.25300			0.0810499			0.0405250	+	0.999179i	$0.487097\pi$
$240$	−2.71035	−	6.56825i	−0.174952	−	0.423979i
$241$	10.2257	−	17.7115i	0.658697	−	1.14090i	−0.322257	−	0.946652i	$-0.604441\pi$
$241$	10.2257	−	17.7115i	0.658697	−	1.14090i	0.980953	−	0.194244i	$-0.0622252\pi$
$242$	−1.25435	+	25.3955i	−0.0806329	+	1.63249i
$243$	15.2128	+	4.07624i	0.975899	+	0.261491i
$244$	14.4188	+	10.3440i	0.923070	+	0.662204i
$245$	14.7419	−	5.26096i	0.941823	−	0.336110i
$246$	−2.59279	+	8.06221i	−0.165310	+	0.514028i
$247$	0.190169	+	0.0509557i	0.0121002	+	0.00324224i
$248$	13.1413	−	16.5308i	0.834471	−	1.04971i
$249$	2.87378	+	1.65918i	0.182118	+	0.105146i
$250$	14.5138	−	6.27293i	0.917933	−	0.396735i
$251$	−1.97480			−0.124648			−0.0623241	−	0.998056i	$-0.519851\pi$
$251$	−1.97480			−0.124648			−0.0623241	+	0.998056i	$0.519851\pi$
$252$	−12.4834	−	1.13659i	−0.786381	−	0.0715986i
$253$	1.74559	+	1.74559i	0.109744	+	0.109744i
$254$	−7.24808	+	1.56342i	−0.454785	+	0.0980980i
$255$	1.60350	−	8.04959i	0.100415	−	0.504085i
$256$	−2.05476	−	15.8675i	−0.128423	−	0.991720i
$257$	−7.47352	+	27.8916i	−0.466185	+	1.73983i	0.186744	+	0.982409i	$0.440207\pi$
$257$	−7.47352	+	27.8916i	−0.466185	+	1.73983i	−0.652929	+	0.757419i	$0.726460\pi$
$258$	−2.68847	−	5.23743i	−0.167377	−	0.326068i
$259$	−11.8874	+	3.28617i	−0.738644	+	0.204193i
$260$	−0.664315	+	0.354392i	−0.0411991	+	0.0219785i
$261$	12.1546	−	7.01747i	0.752351	−	0.434370i
$262$	1.05068	−	21.2721i	0.0649115	−	1.31419i
$263$	28.2396	−	7.56677i	1.74133	−	0.466587i	0.758585	−	0.651574i	$-0.225891\pi$
$263$	28.2396	−	7.56677i	1.74133	−	0.466587i	0.982741	+	0.184988i	$0.0592245\pi$
$264$	−4.81994	+	11.0941i	−0.296647	+	0.682792i
$265$	0.0816025	+	0.0402703i	0.00501280	+	0.00247378i
$266$	3.87661	−	2.02883i	0.237690	−	0.124396i
$267$	−3.36577	−	3.36577i	−0.205982	−	0.205982i
$268$	−2.42312	−	2.95578i	−0.148016	−	0.180553i
$269$	−9.37385	+	16.2360i	−0.571534	+	0.989925i	0.424875	+	0.905252i	$0.360318\pi$
$269$	−9.37385	+	16.2360i	−0.571534	+	0.989925i	−0.996409	+	0.0846732i	$0.973015\pi$
$270$	6.55819	−	11.7858i	0.399119	−	0.717260i
$271$	−5.88755	+	3.39918i	−0.357643	+	0.206485i	−0.668046	−	0.744120i	$-0.732869\pi$
$271$	−5.88755	+	3.39918i	−0.357643	+	0.206485i	0.310403	+	0.950605i	$0.399536\pi$
$272$	8.19198	−	16.5674i	0.496712	−	1.00454i
$273$	−0.00279805	−	0.353855i	−0.000169346	−	0.0214163i
$274$	−4.59412	−	1.47746i	−0.277541	−	0.0892567i
$275$	−24.8616	−	10.3143i	−1.49921	−	0.621975i
$276$	0.300348	+	0.663818i	0.0180788	+	0.0399571i
$277$	1.08126	+	4.03531i	0.0649666	+	0.242458i	0.990771	−	0.135543i	$-0.0432780\pi$
$277$	1.08126	+	4.03531i	0.0649666	+	0.242458i	−0.925805	+	0.378002i	$0.876611\pi$
$278$	−7.53329	+	11.6770i	−0.451817	+	0.700339i
$279$	17.6869			1.05888
$280$	−5.52948	+	15.7932i	−0.330449	+	0.943824i
$281$	−20.8333			−1.24281			−0.621406	−	0.783489i	$-0.713438\pi$
$281$	−20.8333			−1.24281			−0.621406	+	0.783489i	$0.713438\pi$
$282$	−6.31049	+	9.78157i	−0.375784	+	0.582484i
$283$	5.97036	+	22.2817i	0.354901	+	1.32451i	0.880609	+	0.473844i	$0.157134\pi$
$283$	5.97036	+	22.2817i	0.354901	+	1.32451i	−0.525708	+	0.850665i	$0.676199\pi$
$284$	16.7436	−	7.57574i	0.993552	−	0.449538i
$285$	0.135279	+	2.07284i	0.00801324	+	0.122785i
$286$	1.22019	+	0.392412i	0.0721515	+	0.0232038i
$287$	17.1926	−	10.1082i	1.01485	−	0.596670i
$288$	9.33206	−	9.61701i	0.549897	−	0.566688i
$289$	3.76647	−	2.17457i	0.221557	−	0.127916i
$290$	−5.13472	−	18.0181i	−0.301521	−	1.05806i
$291$	−7.29783	+	12.6402i	−0.427807	+	0.740983i
$292$	7.75956	−	6.36122i	0.454094	−	0.372263i
$293$	4.59070	+	4.59070i	0.268191	+	0.268191i	0.828371	−	0.560180i	$-0.189268\pi$
$293$	4.59070	+	4.59070i	0.268191	+	0.268191i	−0.560180	+	0.828371i	$0.689268\pi$
$294$	−5.37132	−	5.74426i	−0.313262	−	0.335012i
$295$	2.91530	+	8.59610i	0.169735	+	0.500484i
$296$	5.25384	−	12.0928i	0.305373	−	0.702878i
$297$	−22.1779	+	5.94256i	−1.28690	+	0.344822i
$298$	1.14999	−	23.2826i	0.0666172	−	1.34873i
$299$	0.0668628	−	0.0386032i	0.00386677	−	0.00223248i
$300$	−5.79224	−	5.43689i	−0.334415	−	0.313899i
$301$	−3.48228	+	13.4196i	−0.200715	+	0.773494i
$302$	12.7693	+	24.8760i	0.734792	+	1.43145i
$303$	1.94508	−	7.25915i	0.111742	−	0.417027i
$304$	−0.917404	+	4.58667i	−0.0526167	+	0.263064i
$305$	19.4577	+	3.87603i	1.11414	+	0.221941i
$306$	15.1313	−	3.26385i	0.865000	−	0.186582i
$307$	2.21504	+	2.21504i	0.126419	+	0.126419i	0.767486	−	0.641066i	$-0.221508\pi$
$307$	2.21504	+	2.21504i	0.126419	+	0.126419i	−0.641066	+	0.767486i	$0.721508\pi$
$308$	25.8589	−	11.9472i	1.47345	−	0.680756i
$309$	2.03659			0.115857
$310$	5.74934	−	22.8997i	0.326541	−	1.30062i
$311$	−1.93996	−	1.12004i	−0.110005	−	0.0635115i	0.443988	−	0.896033i	$-0.353563\pi$
$311$	−1.93996	−	1.12004i	−0.110005	−	0.0635115i	−0.553993	+	0.832521i	$0.686897\pi$
$312$	0.296129	+	0.235409i	0.0167650	+	0.0133274i
$313$	−26.0349	−	6.97604i	−1.47158	−	0.394309i	−0.568108	−	0.822954i	$-0.692324\pi$
$313$	−26.0349	−	6.97604i	−1.47158	−	0.394309i	−0.903473	+	0.428645i	$0.858991\pi$
$314$	6.12565	−	19.0475i	0.345691	−	1.07491i
$315$	−13.2361	+	4.60594i	−0.745770	+	0.259515i
$316$	−4.38639	+	6.11435i	−0.246754	+	0.343959i
$317$	8.26970	+	2.21586i	0.464473	+	0.124455i	0.483463	−	0.875365i	$-0.339379\pi$
$317$	8.26970	+	2.21586i	0.464473	+	0.124455i	−0.0189906	+	0.999820i	$0.506045\pi$
$318$	0.00225551	−	0.0456649i	0.000126483	−	0.00256076i
$319$	−15.9469	+	27.6209i	−0.892856	+	1.54647i
$320$	−9.41793	−	15.2086i	−0.526478	−	0.850189i
$321$	10.9233			0.609681
$322$	0.512381	−	1.63755i	0.0285539	−	0.0912571i
$323$	−3.82059	+	3.82059i	−0.212584	+	0.212584i
$324$	7.40060	+	0.732858i	0.411144	+	0.0407144i
$325$	−0.512832	+	0.667562i	−0.0284468	+	0.0370297i
$326$	−18.3297	−	20.2345i	−1.01519	−	1.12069i
$327$	7.35147	+	1.96982i	0.406537	+	0.108931i
$328$	−3.14521	+	21.0877i	−0.173665	+	1.16437i
$329$	26.4220	−	7.30417i	1.45669	−	0.402692i
$330$	0.213903	+	13.5219i	0.0117749	+	0.744356i
$331$	13.3331	+	23.0936i	0.732853	+	1.26934i	0.955659	+	0.294476i	$0.0951450\pi$
$331$	13.3331	+	23.0936i	0.732853	+	1.26934i	−0.222806	+	0.974863i	$0.571522\pi$
$332$	7.81717	+	2.94691i	0.429023	+	0.161733i
$333$	10.6664	−	2.85805i	0.584515	−	0.156620i
$334$	3.82133	−	0.824267i	0.209094	−	0.0451019i
$335$	−3.83198	−	1.89106i	−0.209363	−	0.103319i
$336$	8.38536	−	0.607289i	0.457459	−	0.0331303i
$337$	−4.03152	−	4.03152i	−0.219611	−	0.219611i	0.588723	−	0.808335i	$-0.299631\pi$
$337$	−4.03152	−	4.03152i	−0.219611	−	0.219611i	−0.808335	+	0.588723i	$0.799631\pi$
$338$	−9.94492	+	15.4151i	−0.540932	+	0.838472i
$339$	10.9699	+	6.33349i	0.595805	+	0.343988i
$340$	0.692821	−	20.6519i	0.0375735	−	1.12001i
$341$	−34.8079	+	20.0963i	−1.88495	+	1.08828i
$342$	−3.48522	+	1.78903i	−0.188459	+	0.0967398i
$343$	0.439288	+	18.5150i	0.0237193	+	0.999719i
$344$	−8.81957	−	11.9116i	−0.475519	−	0.642231i
$345$	0.612301	+	0.537277i	0.0329652	+	0.0289260i
$346$	12.5952	−	11.4096i	0.677123	−	0.613381i
$347$	3.91043	−	1.04780i	0.209923	−	0.0562486i	−0.152325	−	0.988330i	$-0.548676\pi$
$347$	3.91043	−	1.04780i	0.209923	−	0.0562486i	0.362248	+	0.932082i	$0.382009\pi$
$348$	−7.27975	+	5.96787i	−0.390235	+	0.319912i
$349$	−21.2965			−1.13998			−0.569989	−	0.821652i	$-0.693052\pi$
$349$	−21.2965			−1.13998			−0.569989	+	0.821652i	$0.693052\pi$
$350$	1.66088	+	18.6344i	0.0887780	+	0.996051i
$351$			0.718084i			0.0383285i
$352$	−7.43844	+	29.5297i	−0.396470	+	1.57394i
$353$	−2.91373	−	10.8742i	−0.155082	−	0.578775i	−0.999098	−	0.0424570i	$-0.986481\pi$
$353$	−2.91373	−	10.8742i	−0.155082	−	0.578775i	0.844016	−	0.536318i	$-0.180185\pi$
$354$	3.37999	−	3.06181i	0.179644	−	0.162733i
$355$	13.5519	−	15.4442i	0.719258	−	0.819694i
$356$	−9.73697	−	6.98523i	−0.516058	−	0.370217i
$357$	8.44857	+	4.78911i	0.447146	+	0.253467i
$358$	15.8799	+	30.9357i	0.839278	+	1.63500i
$359$	5.64985	+	9.78583i	0.298188	+	0.516476i	0.975721	−	0.219015i	$-0.0702845\pi$
$359$	5.64985	+	9.78583i	0.298188	+	0.516476i	−0.677534	+	0.735492i	$0.736951\pi$
$360$	5.06253	−	14.1010i	0.266819	−	0.743189i
$361$	−8.81628	+	15.2702i	−0.464014	+	0.803697i
$362$	5.80468	−	8.99754i	0.305087	−	0.472900i
$363$	10.0996	−	10.0996i	0.530093	−	0.530093i
$364$	−0.151601	−	0.877889i	−0.00794604	−	0.0460139i
$365$	4.96444	−	10.0598i	0.259850	−	0.526553i
$366$	−2.10183	−	9.74416i	−0.109865	−	0.509335i
$367$	−3.00832	−	11.2272i	−0.157033	−	0.586056i	−0.998923	−	0.0464060i	$-0.985223\pi$
$367$	−3.00832	−	11.2272i	−0.157033	−	0.586056i	0.841889	−	0.539650i	$-0.181443\pi$
$368$	1.01747	+	1.52625i	0.0530393	+	0.0795614i
$369$	−15.4646	+	8.92851i	−0.805057	+	0.464800i
$370$	−0.233158	−	14.7392i	−0.0121213	−	0.766253i
$371$	−0.0755302	+	0.0767342i	−0.00392133	+	0.00398384i
$372$	−11.7052	+	1.92617i	−0.606888	+	0.0998671i
$373$	5.55810	−	20.7431i	0.287788	−	1.07404i	−0.658991	−	0.752151i	$-0.729016\pi$
$373$	5.55810	−	20.7431i	0.287788	−	1.07404i	0.946778	−	0.321887i	$-0.104317\pi$
$374$	−26.0701	+	23.6160i	−1.34805	+	1.22115i
$375$	−8.40810	−	2.86203i	−0.434192	−	0.147795i
$376$	−11.6777	+	26.8786i	−0.602232	+	1.38616i
$377$	0.705325	+	0.705325i	0.0363261	+	0.0363261i
$378$	10.8073	+	11.7424i	0.555866	+	0.603963i
$379$			2.37518i			0.122005i	0.998138	+	0.0610025i	$0.0194297\pi$
$379$			2.37518i			0.122005i	−0.998138	+	0.0610025i	$0.980570\pi$
$380$	1.18340	+	5.09397i	0.0607070	+	0.261315i
$381$	3.60714	+	2.08258i	0.184799	+	0.106694i
$382$	−27.4069	−	1.35370i	−1.40226	−	0.0692612i
$383$	4.15107	−	15.4920i	0.212110	−	0.791604i	−0.775054	−	0.631895i	$-0.782278\pi$
$383$	4.15107	−	15.4920i	0.212110	−	0.791604i	0.987164	−	0.159709i	$-0.0510557\pi$
$384$	−5.12867	+	7.38088i	−0.261721	+	0.376654i
$385$	20.8154	−	24.1038i	1.06085	−	1.22844i
$386$	2.90847	−	9.04381i	0.148037	−	0.460318i
$387$	3.21281	−	11.9904i	0.163316	−	0.609504i
$388$	−12.9619	+	34.3836i	−0.658040	+	1.74556i
$389$	10.6917	−	18.5186i	0.542093	−	0.938932i	−0.456691	−	0.889625i	$-0.650966\pi$
$389$	10.6917	−	18.5186i	0.542093	−	0.938932i	0.998784	−	0.0493065i	$-0.0157011\pi$
$390$	0.410219	+	0.102992i	0.0207723	+	0.00521521i
$391$			2.11886i			0.107156i
$392$	−15.6914	−	12.0740i	−0.792535	−	0.609827i
$393$	−8.45975	+	8.45975i	−0.426738	+	0.426738i
$394$	34.3047	−	7.39958i	1.72824	−	0.372785i
$395$	−1.64364	+	8.25110i	−0.0827007	+	0.415158i
$396$	−23.2369	+	10.5137i	−1.16770	+	0.528331i
$397$	−5.83531	−	1.56357i	−0.292866	−	0.0784731i	0.109395	−	0.993998i	$-0.465109\pi$
$397$	−5.83531	−	1.56357i	−0.292866	−	0.0784731i	−0.402260	+	0.915525i	$0.631775\pi$
$398$	5.47956	−	2.81277i	0.274666	−	0.140991i
$399$	−2.37904	−	0.617343i	−0.119101	−	0.0309058i
$400$	−16.6114	−	11.1383i	−0.830569	−	0.556916i
$401$	13.4495	+	23.2953i	0.671638	+	1.16331i	0.977439	+	0.211216i	$0.0677423\pi$
$401$	13.4495	+	23.2953i	0.671638	+	1.16331i	−0.305801	+	0.952095i	$0.598924\pi$
$402$	−0.105917	+	2.14438i	−0.00528264	+	0.106952i
$403$	0.325343	+	1.21420i	0.0162065	+	0.0604834i
$404$	1.86448	−	18.8280i	0.0927613	−	0.936728i
$405$	7.87408	−	2.67044i	0.391266	−	0.132695i
$406$	22.1490	+	0.918500i	1.09924	+	0.0455844i
$407$	−17.7442	+	17.7442i	−0.879546	+	0.879546i
$408$	−9.65853	+	3.80789i	−0.478169	+	0.188519i
$409$	0.789630	+	0.455893i	0.0390447	+	0.0225425i	0.519395	−	0.854534i	$-0.326157\pi$
$409$	0.789630	+	0.455893i	0.0390447	+	0.0225425i	−0.480351	+	0.877077i	$0.659491\pi$
$410$	6.53304	+	22.9249i	0.322644	+	1.13218i
$411$	1.35543	+	2.34768i	0.0668585	+	0.115802i
$412$	5.05921	−	0.832523i	0.249249	−	0.0410155i
$413$	−10.7397	+	0.0849226i	−0.528467	+	0.00417877i
$414$	−0.470345	+	1.46252i	−0.0231162	+	0.0718792i
$415$	9.32043	−	0.608276i	0.457522	−	0.0298591i
$416$	0.831864	+	0.463741i	0.0407855	+	0.0227368i
$417$	7.53999	−	2.02034i	0.369235	−	0.0989362i
$418$	4.82620	−	7.48085i	0.236057	−	0.365900i
$419$		−	10.0985i		−	0.493344i	−0.969099	−	0.246672i	$-0.920663\pi$
$419$		−	10.0985i		−	0.493344i	0.969099	−	0.246672i	$-0.0793370\pi$
$420$	8.25811	−	4.48970i	0.402955	−	0.219075i
$421$			10.0925i			0.491879i	0.969285	+	0.245939i	$0.0790964\pi$
$421$			10.0925i			0.491879i	−0.969285	+	0.245939i	$0.920904\pi$
$422$	15.7211	+	10.1423i	0.765293	+	0.493721i
$423$	−23.7082	+	6.35260i	−1.15273	+	0.308874i
$424$	−0.0130640	−	0.114361i	−0.000634443	−	0.00555385i
$425$	−8.82903	−	21.3489i	−0.428271	−	1.03558i
$426$	−9.82775	−	3.16059i	−0.476156	−	0.153131i
$427$	−11.5764	+	20.4221i	−0.560220	+	0.988294i
$428$	27.1353	−	4.46528i	1.31163	−	0.215837i
$429$	−0.360001	−	0.623540i	−0.0173810	−	0.0301048i
$430$	−14.4799	−	8.05734i	−0.698284	−	0.388560i
$431$	5.88719	+	3.39897i	0.283576	+	0.163723i	0.635041	−	0.772478i	$-0.280983\pi$
$431$	5.88719	+	3.39897i	0.283576	+	0.163723i	−0.351465	+	0.936201i	$0.614316\pi$
$432$	−17.0252	+	1.09776i	−0.819127	+	0.0528159i
$433$	6.16109	−	6.16109i	0.296083	−	0.296083i	−0.543394	−	0.839477i	$-0.682861\pi$
$433$	6.16109	−	6.16109i	0.296083	−	0.296083i	0.839477	+	0.543394i	$0.182861\pi$
$434$	23.5940	+	14.9585i	1.13255	+	0.718033i
$435$	−4.65746	+	9.43774i	−0.223308	+	0.452505i
$436$	19.0675	+	1.88819i	0.913166	+	0.0904280i
$437$	−0.138792	−	0.517979i	−0.00663932	−	0.0247783i
$438$	−5.62947	−	0.278054i	−0.268986	−	0.0132860i
$439$	−11.3098	−	19.5892i	−0.539788	−	0.934940i	−0.998915	−	0.0465692i	$-0.985171\pi$
$439$	−11.3098	−	19.5892i	−0.539788	−	0.934940i	0.459127	−	0.888370i	$-0.348162\pi$
$440$	6.05890	+	33.5031i	0.288847	+	1.59720i
$441$	−0.262228	−	16.5802i	−0.0124870	−	0.789535i
$442$	0.502397	+	0.978722i	0.0238966	+	0.0465531i
$443$	−0.447324	−	0.119860i	−0.0212530	−	0.00569473i	0.248177	−	0.968715i	$-0.420169\pi$
$443$	−0.447324	−	0.119860i	−0.0212530	−	0.00569473i	−0.269430	+	0.963020i	$0.586835\pi$
$444$	−6.74782	+	3.05309i	−0.320237	+	0.144893i
$445$	−13.1397	−	2.61747i	−0.622881	−	0.124080i
$446$	1.23067	+	5.70542i	0.0582738	+	0.270159i
$447$	−9.25934	+	9.25934i	−0.437952	+	0.437952i
$448$	20.5823	−	4.93640i	0.972423	−	0.233223i
$449$		−	11.6208i		−	0.548418i	−0.961670	−	0.274209i	$-0.911584\pi$
$449$		−	11.6208i		−	0.548418i	0.961670	−	0.274209i	$-0.0884160\pi$
$450$	−1.35512	−	16.6958i	−0.0638809	−	0.787046i
$451$	20.2897	−	35.1428i	0.955405	−	1.65481i
$452$	29.8401	+	11.2491i	1.40356	+	0.529112i
$453$	4.06534	−	15.1721i	0.191006	−	0.712846i
$454$	0.718176	+	0.230964i	0.0337057	+	0.0108397i
$455$	−0.559669	−	0.823929i	−0.0262377	−	0.0386264i
$456$	2.11170	−	1.56354i	0.0988896	−	0.0732196i
$457$	−0.209732	+	0.782731i	−0.00981086	+	0.0366146i	−0.970658	−	0.240465i	$-0.922700\pi$
$457$	−0.209732	+	0.782731i	−0.00981086	+	0.0366146i	0.960847	+	0.277080i	$0.0893667\pi$
$458$	−1.24647	+	25.2359i	−0.0582437	+	1.17920i
$459$	−17.0669	−	9.85359i	−0.796615	−	0.459926i
$460$	1.74068	+	1.08438i	0.0811598	+	0.0505596i
$461$		−	19.4636i		−	0.906511i	−0.891381	−	0.453256i	$-0.850262\pi$
$461$		−	19.4636i		−	0.906511i	0.891381	−	0.453256i	$-0.149738\pi$
$462$	−15.2712	−	4.77829i	−0.710482	−	0.222306i
$463$	11.6543	+	11.6543i	0.541620	+	0.541620i	0.924004	−	0.382383i	$-0.124897\pi$
$463$	11.6543	+	11.6543i	0.541620	+	0.541620i	−0.382383	+	0.924004i	$0.624897\pi$
$464$	−15.6445	+	17.8010i	−0.726277	+	0.826390i
$465$	−11.0297	+	7.36537i	−0.511491	+	0.341561i
$466$	3.06348	+	3.38183i	0.141913	+	0.156660i
$467$	3.88041	−	14.4819i	0.179564	−	0.670143i	−0.816165	−	0.577819i	$-0.803904\pi$
$467$	3.88041	−	14.4819i	0.179564	−	0.670143i	0.995729	−	0.0923235i	$-0.0294294\pi$
$468$	0.129518	+	0.787076i	0.00598697	+	0.0363826i
$469$	3.54683	−	3.60336i	0.163777	−	0.166388i
$470$	0.518242	+	32.7608i	0.0239047	+	1.51114i
$471$	−9.73362	+	5.61971i	−0.448502	+	0.258943i
$472$	7.14481	−	8.98770i	0.328866	−	0.413693i
$473$	7.30098	+	27.2476i	0.335700	+	1.25285i
$474$	4.13205	−	0.891290i	0.189791	−	0.0409383i
$475$	3.55677	+	4.64065i	0.163196	+	0.212927i
$476$	22.9453	+	8.44329i	1.05170	+	0.386998i
$477$	0.0681679	−	0.0681679i	0.00312119	−	0.00312119i
$478$	−1.48903	−	0.960633i	−0.0681066	−	0.0439383i
$479$	0.983519	−	1.70350i	0.0449381	−	0.0778351i	−0.842681	−	0.538412i	$-0.819024\pi$
$479$	0.983519	−	1.70350i	0.0449381	−	0.0778351i	0.887620	+	0.460577i	$0.152358\pi$
$480$	−1.81475	+	9.88344i	−0.0828317	+	0.451115i
$481$	0.392409	+	0.679672i	0.0178923	+	0.0309904i
$482$	−25.7307	+	13.2081i	−1.17200	+	0.601611i
$483$	−0.830883	+	0.488511i	−0.0378065	+	0.0222280i
$484$	20.9605	−	29.2176i	0.952751	−	1.32807i
$485$	2.67548	+	40.9956i	0.121487	+	1.86152i
$486$	−14.9533	−	16.5072i	−0.678294	−	0.748781i
$487$	−3.84327	−	14.3433i	−0.174155	−	0.649955i	−0.996694	−	0.0812467i	$-0.974110\pi$
$487$	−3.84327	−	14.3433i	−0.174155	−	0.649955i	0.822539	−	0.568709i	$-0.192557\pi$
$488$	−9.20454	−	23.3469i	−0.416670	−	1.05686i
$489$			15.3367i			0.693551i
$490$	−21.5522	−	5.05010i	−0.973628	−	0.228140i
$491$	20.8692			0.941815			0.470908	−	0.882183i	$-0.343927\pi$
$491$	20.8692			0.941815			0.470908	+	0.882183i	$0.343927\pi$
$492$	9.26222	−	7.59309i	0.417573	−	0.342323i
$493$	−26.4422	+	7.08516i	−1.19090	+	0.319100i
$494$	−0.186926	−	0.206351i	−0.00841018	−	0.00928415i
$495$	−18.8073	+	21.4336i	−0.845327	+	0.963367i
$496$	−28.2903	+	9.56981i	−1.27027	+	0.429697i
$497$	12.3218	+	20.9576i	0.552709	+	0.940075i
$498$	−2.14308	−	4.17494i	−0.0960337	−	0.187084i
$499$	−4.30547	+	2.48577i	−0.192739	+	0.111278i	−0.593264	−	0.805008i	$-0.702161\pi$
$499$	−4.30547	+	2.48577i	−0.192739	+	0.111278i	0.400525	+	0.916286i	$0.368828\pi$
$500$	−22.0570	−	3.67266i	−0.986419	−	0.164246i
$501$	−1.90175	−	1.09798i	−0.0849639	−	0.0490540i
$502$	2.34679	+	1.51401i	0.104743	+	0.0675736i
$503$	−28.4743	−	28.4743i	−1.26961	−	1.26961i	−0.946291	−	0.323316i	$-0.895202\pi$
$503$	−28.4743	−	28.4743i	−1.26961	−	1.26961i	−0.323316	−	0.946291i	$-0.604798\pi$
$504$	13.9635	+	10.9213i	0.621985	+	0.486473i
$505$	−6.79391	−	20.0326i	−0.302325	−	0.891439i
$506$	−0.736122	−	3.41268i	−0.0327246	−	0.151712i
$507$	9.95377	−	2.66711i	0.442063	−	0.118450i
$508$	9.81203	+	3.69893i	0.435338	+	0.164113i
$509$	19.2568	+	33.3538i	0.853543	+	1.47838i	0.877990	+	0.478679i	$0.158884\pi$
$509$	19.2568	+	33.3538i	0.853543	+	1.47838i	−0.0244463	+	0.999701i	$0.507782\pi$
$510$	−8.07690	+	8.33654i	−0.357651	+	0.369148i
$511$	9.45963	+	9.31120i	0.418469	+	0.411903i
$512$	−9.72326	+	20.4318i	−0.429711	+	0.902966i
$513$	4.81763	+	1.29088i	0.212704	+	0.0569937i
$514$	30.2648	−	27.4158i	1.33492	−	1.20926i
$515$	4.76724	−	3.18344i	0.210070	−	0.140279i
$516$	−0.820454	+	8.28516i	−0.0361185	+	0.364734i
$517$	39.4400	−	39.4400i	1.73457	−	1.73457i
$518$	16.6460	+	5.20844i	0.731382	+	0.228846i
$519$	−9.54652			−0.419046
$520$	1.06115	+	0.0881582i	0.0465346	+	0.00386599i
$521$	15.4821	−	26.8158i	0.678283	−	1.17482i	−0.297214	−	0.954811i	$-0.596058\pi$
$521$	15.4821	−	26.8158i	0.678283	−	1.17482i	0.975498	−	0.220010i	$-0.0706091\pi$
$522$	−19.8242	−	0.979171i	−0.867683	−	0.0428572i
$523$	−12.1293	−	3.25004i	−0.530377	−	0.142114i	−0.0163147	−	0.999867i	$-0.505193\pi$
$523$	−12.1293	−	3.25004i	−0.530377	−	0.142114i	−0.514062	+	0.857753i	$0.671860\pi$
$524$	−17.5572	+	24.4736i	−0.766988	+	1.06913i
$525$	6.33613	−	8.38425i	0.276531	−	0.365919i
$526$	−39.3602	−	12.6582i	−1.71619	−	0.551923i
$527$	−33.3225	−	8.92874i	−1.45155	−	0.388942i
$528$	14.2333	−	9.48857i	0.619425	−	0.412937i
$529$	19.7365	+	11.3949i	0.858107	+	0.495428i
$530$	−0.0661002	−	0.110418i	−0.00287121	−	0.00479625i
$531$	9.61622			0.417308
$532$	−6.16229	−	0.561066i	−0.267169	−	0.0243253i
$533$	−0.897405	−	0.897405i	−0.0388709	−	0.0388709i
$534$	1.41936	+	6.58019i	0.0614217	+	0.284753i
$535$	25.5693	−	17.0745i	1.10546	−	0.738196i
$536$	0.613473	+	5.37028i	0.0264980	+	0.231961i
$537$	5.05564	−	18.8679i	0.218167	−	0.814211i
$538$	23.5872	−	12.1077i	1.01692	−	0.522002i
$539$	19.3550	+	32.3321i	0.833681	+	1.39264i
$540$	−16.8293	+	8.97794i	−0.724219	+	0.386349i
$541$	19.4656	−	11.2385i	0.836891	−	0.483179i	−0.0193150	−	0.999813i	$-0.506149\pi$
$541$	19.4656	−	11.2385i	0.836891	−	0.483179i	0.856206	+	0.516634i	$0.172815\pi$
$542$	9.60262	+	0.474299i	0.412468	+	0.0203729i
$543$	−5.80984	+	1.55674i	−0.249324	+	0.0668062i
$544$	−22.4367	+	13.4077i	−0.961967	+	0.574849i
$545$	20.2874	−	6.88031i	0.869016	−	0.294720i
$546$	−0.267963	+	0.422656i	−0.0114678	+	0.0180880i
$547$	1.14015	+	1.14015i	0.0487494	+	0.0487494i	0.731061	−	0.682312i	$-0.239025\pi$
$547$	1.14015	+	1.14015i	0.0487494	+	0.0487494i	−0.682312	+	0.731061i	$0.739025\pi$
$548$	4.32680	+	5.27793i	0.184832	+	0.225462i
$549$	10.5093	−	18.2026i	0.448525	−	0.776868i
$550$	21.6371	+	31.3177i	0.922610	+	1.33539i
$551$	5.99998	−	3.46409i	0.255608	−	0.147575i
$552$	0.152002	−	1.01913i	0.00646963	−	0.0433770i
$553$	−8.66007	−	4.90900i	−0.368263	−	0.208752i
$554$	1.80880	−	5.62441i	0.0768485	−	0.238958i
$555$	−5.46151	+	6.22414i	−0.231828	+	0.264200i
$556$	17.9047	−	8.10106i	0.759327	−	0.343561i
$557$	−2.60524	−	9.72290i	−0.110388	−	0.411972i	0.888513	−	0.458852i	$-0.151739\pi$
$557$	−2.60524	−	9.72290i	−0.110388	−	0.411972i	−0.998901	+	0.0468793i	$0.985072\pi$
$558$	−21.0185	−	13.5599i	−0.889785	−	0.574036i
$559$	0.882232			0.0373144
$560$	18.6792	−	14.5289i	0.789339	−	0.613958i
$561$	19.7598			0.834259
$562$	24.7577	+	15.9722i	1.04434	+	0.673746i
$563$	−5.73756	−	21.4129i	−0.241809	−	0.902445i	−0.974960	−	0.222379i	$-0.928618\pi$
$563$	−5.73756	−	21.4129i	−0.241809	−	0.902445i	0.733151	−	0.680066i	$-0.238049\pi$
$564$	14.9984	−	6.78610i	0.631546	−	0.285746i
$565$	35.5784	−	2.32194i	1.49680	−	0.0976848i
$566$	9.98761	−	31.0562i	0.419810	−	1.30539i
$567$	0.0777897	+	9.83765i	0.00326686	+	0.413142i
$568$	−25.7057	−	3.83398i	−1.07859	−	0.160870i
$569$	−3.05139	+	1.76172i	−0.127921	+	0.0738551i	−0.562595	−	0.826733i	$-0.690197\pi$
$569$	−3.05139	+	1.76172i	−0.127921	+	0.0738551i	0.434674	+	0.900588i	$0.356864\pi$
$570$	1.42842	−	2.56702i	0.0598297	−	0.107521i
$571$	3.18719	−	5.52038i	0.133380	−	0.231021i	−0.791598	−	0.611043i	$-0.790750\pi$
$571$	3.18719	−	5.52038i	0.133380	−	0.231021i	0.924977	+	0.380022i	$0.124084\pi$
$572$	−1.14919	−	1.40181i	−0.0480501	−	0.0586126i
$573$	10.8995	+	10.8995i	0.455334	+	0.455334i
$574$	−28.1808	−	1.16863i	−1.17624	−	0.0487778i
$575$	2.27310	+	0.300553i	0.0947950	+	0.0125339i
$576$	−18.4630	+	4.27400i	−0.769290	+	0.178083i
$577$	0.961449	−	0.257620i	0.0400257	−	0.0107248i	−0.238751	−	0.971081i	$-0.576738\pi$
$577$	0.961449	−	0.257620i	0.0400257	−	0.0107248i	0.278776	+	0.960356i	$0.410071\pi$
$578$	−6.14313	−	0.303426i	−0.255521	−	0.0126208i
$579$	−4.62154	+	2.66825i	−0.192065	+	0.110889i
$580$	−7.71188	+	25.3487i	−0.320218	+	1.05255i
$581$	−2.77585	+	10.6973i	−0.115162	+	0.443797i
$582$	18.3633	−	9.42626i	0.761185	−	0.390731i
$583$	−0.0567006	+	0.211609i	−0.00234830	+	0.00876397i
$584$	−14.0982	+	1.61050i	−0.583386	+	0.0666430i
$585$	0.495257	+	0.741653i	0.0204763	+	0.0306636i
$586$	−1.93592	−	8.97498i	−0.0799721	−	0.370753i
$587$	−0.883416	−	0.883416i	−0.0364625	−	0.0364625i	0.688640	−	0.725103i	$-0.258208\pi$
$587$	−0.883416	−	0.883416i	−0.0364625	−	0.0364625i	−0.725103	+	0.688640i	$0.758208\pi$
$588$	1.97920	+	10.9443i	0.0816206	+	0.451336i
$589$	8.73090			0.359751
$590$	3.12588	−	12.4504i	0.128690	−	0.512575i
$591$	−17.0723	−	9.85671i	−0.702262	−	0.405451i
$592$	−15.5146	+	10.3427i	−0.637647	+	0.425084i
$593$	−21.2818	−	5.70244i	−0.873939	−	0.234171i	−0.206149	−	0.978521i	$-0.566093\pi$
$593$	−21.2818	−	5.70244i	−0.873939	−	0.234171i	−0.667790	+	0.744349i	$0.732760\pi$
$594$	30.9116	+	9.94110i	1.26832	+	0.407888i
$595$	27.2624	−	1.99582i	1.11765	−	0.0818205i
$596$	−19.2166	+	26.7867i	−0.787143	+	1.09723i
$597$	−3.34203	−	0.895494i	−0.136780	−	0.0366501i
$598$	−0.109054	−	0.00538644i	−0.00445953	−	0.000220268i
$599$	−7.19773	+	12.4668i	−0.294091	+	0.509381i	−0.974773	−	0.223198i	$-0.928350\pi$
$599$	−7.19773	+	12.4668i	−0.294091	+	0.509381i	0.680682	+	0.732579i	$0.261684\pi$
$600$	2.71506	+	10.9018i	0.110842	+	0.445062i
$601$	−44.2355			−1.80440			−0.902202	−	0.431315i	$-0.858050\pi$
$601$	−44.2355			−1.80440			−0.902202	+	0.431315i	$0.858050\pi$
$602$	14.4266	−	13.2777i	0.587984	−	0.541160i
$603$	−3.20110	+	3.20110i	−0.130359	+	0.130359i
$604$	3.89688	−	39.3517i	0.158562	−	1.60120i
$605$	7.85421	−	39.4281i	0.319319	−	1.60298i
$606$	−7.87682	+	7.13533i	−0.319974	+	0.289853i
$607$	10.9137	+	2.92431i	0.442972	+	0.118694i	0.473409	−	0.880843i	$-0.343023\pi$
$607$	10.9137	+	2.92431i	0.442972	+	0.118694i	−0.0304368	+	0.999537i	$0.509690\pi$
$608$	4.60666	−	4.74732i	0.186825	−	0.192529i
$609$	−8.87469	−	8.73544i	−0.359620	−	0.353978i
$610$	−20.1513	−	19.5237i	−0.815902	−	0.790491i
$611$	−0.872207	−	1.51071i	−0.0352857	−	0.0611167i
$612$	−20.4839	−	7.72200i	−0.828013	−	0.312143i
$613$	−15.9066	+	4.26217i	−0.642463	+	0.172147i	−0.565319	−	0.824873i	$-0.691247\pi$
$613$	−15.9066	+	4.26217i	−0.642463	+	0.172147i	−0.0771442	+	0.997020i	$0.524580\pi$
$614$	−0.934094	−	4.33049i	−0.0376970	−	0.174764i
$615$	5.92581	−	12.0079i	0.238952	−	0.484205i
$616$	−39.8895	−	5.62742i	−1.60719	−	0.226735i
$617$	−19.6631	−	19.6631i	−0.791607	−	0.791607i	0.190149	−	0.981755i	$-0.439103\pi$
$617$	−19.6631	−	19.6631i	−0.791607	−	0.791607i	−0.981755	+	0.190149i	$0.939103\pi$
$618$	−2.42022	−	1.56138i	−0.0973556	−	0.0628080i
$619$	−15.3169	−	8.84319i	−0.615637	−	0.355438i	0.159532	−	0.987193i	$-0.449002\pi$
$619$	−15.3169	−	8.84319i	−0.615637	−	0.355438i	−0.775168	+	0.631755i	$0.782335\pi$
$620$	−24.3888	+	22.8055i	−0.979476	+	0.915892i
$621$	1.69386	−	0.977950i	0.0679722	−	0.0392438i
$622$	1.44670	+	2.81832i	0.0580073	+	0.113004i
$623$	7.81748	−	13.7910i	0.313201	−	0.552523i
$624$	−0.171431	−	0.506785i	−0.00686274	−	0.0202876i
$625$	−24.1554	+	6.44346i	−0.966215	+	0.257738i
$626$	25.5908	+	28.2502i	1.02282	+	1.12910i
$627$	−4.83049	+	1.29433i	−0.192911	+	0.0516904i
$628$	−21.8826	+	17.9392i	−0.873212	+	0.715852i
$629$	−21.5386			−0.858800
$630$	19.2606	+	4.67411i	0.767361	+	0.186221i
$631$			14.3729i			0.572176i	0.958203	+	0.286088i	$0.0923550\pi$
$631$			14.3729i			0.572176i	−0.958203	+	0.286088i	$0.907645\pi$
$632$	9.90032	−	3.90322i	0.393814	−	0.155262i
$633$	−2.72005	−	10.1514i	−0.108112	−	0.403481i
$634$	−8.12865	−	8.97336i	−0.322830	−	0.356378i
$635$	11.6989	−	0.763502i	0.464257	−	0.0302986i
$636$	−0.0376901	+	0.0525376i	−0.00149451	+	0.00208325i
$637$	1.13340	−	0.322989i	0.0449071	−	0.0127973i
$638$	40.1268	−	20.5979i	1.58864	−	0.815478i
$639$	−10.8838	−	18.8512i	−0.430555	−	0.745743i
$640$	−0.467947	+	25.2939i	−0.0184972	+	0.999829i
$641$	6.18581	−	10.7141i	0.244325	−	0.423183i	−0.717617	−	0.696438i	$-0.754767\pi$
$641$	6.18581	−	10.7141i	0.244325	−	0.423183i	0.961942	+	0.273255i	$0.0881004\pi$
$642$	−12.9810	−	8.37455i	−0.512318	−	0.330517i
$643$	−34.9204	+	34.9204i	−1.37713	+	1.37713i	−0.527689	+	0.849437i	$0.676941\pi$
$643$	−34.9204	+	34.9204i	−1.37713	+	1.37713i	−0.849437	+	0.527689i	$0.823059\pi$
$644$	−1.86435	+	1.55319i	−0.0734658	+	0.0612043i
$645$	2.98962	+	8.81524i	0.117716	+	0.347100i
$646$	7.46940	−	1.61116i	0.293880	−	0.0633903i
$647$	1.66405	+	6.21034i	0.0654207	+	0.244154i	0.990891	−	0.134667i	$-0.0429964\pi$
$647$	1.66405	+	6.21034i	0.0654207	+	0.244154i	−0.925470	+	0.378820i	$0.876330\pi$
$648$	−8.23279	−	6.54469i	−0.323415	−	0.257100i
$649$	−18.9248	+	10.9262i	−0.742864	+	0.428893i
$650$	1.12123	−	0.400140i	0.0439783	−	0.0156948i
$651$	−4.18133	−	15.1255i	−0.163879	−	0.592816i
$652$	6.26940	+	38.0989i	0.245529	+	1.49207i
$653$	−0.336866	+	1.25720i	−0.0131826	+	0.0491980i	−0.972204	−	0.234136i	$-0.924774\pi$
$653$	−0.336866	+	1.25720i	−0.0131826	+	0.0491980i	0.959021	+	0.283334i	$0.0914405\pi$
$654$	−7.22608	−	7.97700i	−0.282562	−	0.311925i
$655$	−6.57892	+	33.0262i	−0.257060	+	1.29044i
$656$	19.9049	−	22.6487i	0.777156	−	0.884283i
$657$	−8.40359	−	8.40359i	−0.327855	−	0.327855i
$658$	−36.9990	−	11.5768i	−1.44237	−	0.451311i
$659$			8.15043i			0.317496i	0.987319	+	0.158748i	$0.0507457\pi$
$659$			8.15043i			0.317496i	−0.987319	+	0.158748i	$0.949254\pi$
$660$	10.1126	−	16.2330i	0.393632	−	0.631869i
$661$	−2.21171	−	1.27693i	−0.0860257	−	0.0496670i	0.456370	−	0.889790i	$-0.349149\pi$
$661$	−2.21171	−	1.27693i	−0.0860257	−	0.0496670i	−0.542396	+	0.840123i	$0.682483\pi$
$662$	1.86041	−	37.6658i	0.0723070	−	1.46392i
$663$	0.159947	−	0.596931i	0.00621183	−	0.0231829i
$664$	−7.03040	−	9.49517i	−0.272832	−	0.368484i
$665$	−6.53385	+	2.27367i	−0.253372	+	0.0881690i
$666$	−14.8668	−	4.78114i	−0.576077	−	0.185265i
$667$	0.703189	−	2.62434i	0.0272276	−	0.101615i
$668$	−5.17309	−	1.95014i	−0.200153	−	0.0754534i
$669$	1.63933	−	2.83940i	0.0633801	−	0.109778i
$670$	3.10400	+	5.18512i	0.119918	+	0.200319i
$671$			47.7639i			1.84390i
$672$	−10.4305	−	5.70708i	−0.402365	−	0.220155i
$673$	29.0315	−	29.0315i	1.11908	−	1.11908i	0.127208	−	0.991876i	$-0.459399\pi$
$673$	29.0315	−	29.0315i	1.11908	−	1.11908i	0.991876	−	0.127208i	$-0.0406015\pi$
$674$	1.70011	+	7.88177i	0.0654859	+	0.303595i
$675$	−12.9917	+	16.9116i	−0.500053	+	0.650927i
$676$	23.6365	−	10.6945i	0.909096	−	0.411325i
$677$	4.01539	+	1.07592i	0.154324	+	0.0413509i	0.335154	−	0.942163i	$-0.391212\pi$
$677$	4.01539	+	1.07592i	0.154324	+	0.0413509i	−0.180830	+	0.983514i	$0.557878\pi$
$678$	−8.18067	−	15.9368i	−0.314177	−	0.612049i
$679$	−47.0515	−	12.2095i	−1.80567	−	0.468558i
$680$	−16.6565	+	24.0110i	−0.638746	+	0.920780i
$681$	−0.211888	−	0.367001i	−0.00811956	−	0.0140635i
$682$	56.7719	+	2.80411i	2.17391	+	0.107375i
$683$	−8.25704	−	30.8157i	−0.315947	−	1.17913i	−0.923105	−	0.384549i	$-0.874357\pi$
$683$	−8.25704	−	30.8157i	−0.315947	−	1.17913i	0.607158	−	0.794581i	$-0.292310\pi$
$684$	5.51332	+	0.545967i	0.210807	+	0.0208756i
$685$	6.84251	+	3.37673i	0.261439	+	0.129018i
$686$	13.6728	−	22.3395i	0.522030	−	0.852927i
$687$	10.0362	−	10.0362i	0.382903	−	0.382903i
$688$	1.34870	+	20.9171i	0.0514186	+	0.797456i
$689$	0.00593362	+	0.00342578i	0.000226053	+	0.000130512i
$690$	−0.315729	−	1.10791i	−0.0120196	−	0.0421776i
$691$	14.7735	+	25.5885i	0.562011	+	0.973431i	0.997321	+	0.0731507i	$0.0233054\pi$
$691$	14.7735	+	25.5885i	0.562011	+	0.973431i	−0.435310	+	0.900281i	$0.643361\pi$
$692$	−23.7151	+	3.90246i	−0.901512	+	0.148349i
$693$	−17.1003	−	29.0850i	−0.649587	−	1.10485i
$694$	−5.45034	−	1.75282i	−0.206892	−	0.0665362i
$695$	14.4916	−	16.5151i	0.549696	−	0.626455i
$696$	13.2264	−	1.51091i	0.501345	−	0.0572711i
$697$	33.6431	−	9.01465i	1.27432	−	0.341454i
$698$	25.3082	+	16.3273i	0.957928	+	0.617998i
$699$		−	2.56326i		−	0.0969513i
$700$	12.3126	−	23.4179i	0.465373	−	0.885115i
$701$		−	2.34311i		−	0.0884982i	−0.999021	−	0.0442491i	$-0.985910\pi$
$701$		−	2.34311i		−	0.0884982i	0.999021	−	0.0442491i	$-0.0140895\pi$
$702$	0.550530	−	0.853350i	0.0207784	−	0.0322076i
$703$	5.26534	−	1.41084i	0.198586	−	0.0532110i
$704$	31.4791	−	29.3895i	1.18641	−	1.10766i
$705$	12.1393	−	13.8344i	0.457193	−	0.521034i
$706$	−4.87428	+	15.1564i	−0.183446	+	0.570420i
$707$	25.0281	−	0.197906i	0.941280	−	0.00744303i
$708$	−6.36406	+	1.04724i	−0.239176	+	0.0393578i
$709$	−18.3199	−	31.7310i	−0.688018	−	1.19168i	−0.972478	−	0.232994i	$-0.925148\pi$
$709$	−18.3199	−	31.7310i	−0.688018	−	1.19168i	0.284461	−	0.958688i	$-0.408185\pi$
$710$	−27.9452	+	7.96370i	−1.04876	+	0.298872i
$711$	7.71889	+	4.45650i	0.289481	+	0.167132i
$712$	6.21579	+	15.7660i	0.232947	+	0.590857i
$713$	2.42104	−	2.42104i	0.0906685	−	0.0906685i
$714$	−6.36838	−	12.1685i	−0.238331	−	0.455393i
$715$	−1.81736	−	0.896854i	−0.0679654	−	0.0335404i
$716$	4.84614	−	48.9376i	0.181109	−	1.82888i
$717$	0.257630	+	0.961488i	0.00962137	+	0.0359074i
$718$	0.788343	−	15.9607i	0.0294207	−	0.595650i
$719$	−19.4884	−	33.7548i	−0.726793	−	1.25884i	−0.958232	−	0.285993i	$-0.907677\pi$
$719$	−19.4884	−	33.7548i	−0.726793	−	1.25884i	0.231439	−	0.972849i	$-0.425657\pi$
$720$	−16.8269	+	12.8760i	−0.627102	+	0.479859i
$721$	1.80725	+	6.53752i	0.0673053	+	0.243470i
$722$	22.1842	−	11.3876i	0.825609	−	0.423801i
$723$	15.6934	+	4.20503i	0.583643	+	0.156387i
$724$	−13.7962	+	6.24216i	−0.512732	+	0.231988i
$725$	3.85019	+	29.3720i	0.142992	+	1.09085i
$726$	−19.7451	+	4.25906i	−0.732810	+	0.158068i
$727$	16.8615	−	16.8615i	0.625360	−	0.625360i	−0.321537	−	0.946897i	$-0.604199\pi$
$727$	16.8615	−	16.8615i	0.625360	−	0.625360i	0.946897	+	0.321537i	$0.104199\pi$
$728$	−0.492889	+	1.15948i	−0.0182677	+	0.0429733i
$729$			1.35640i			0.0502370i
$730$	−13.6121	+	8.14869i	−0.503806	+	0.301597i
$731$	−12.1060	+	20.9683i	−0.447758	+	0.775539i
$732$	−4.97276	+	13.1911i	−0.183798	+	0.487556i
$733$	2.13076	−	7.95212i	0.0787016	−	0.293718i	−0.915346	−	0.402669i	$-0.868082\pi$
$733$	2.13076	−	7.95212i	0.0787016	−	0.293718i	0.994047	+	0.108951i	$0.0347491\pi$
$734$	−5.03252	+	15.6485i	−0.185754	+	0.577596i
$735$	7.06806	+	10.2304i	0.260709	+	0.377355i
$736$	−0.0390051	−	2.59381i	−0.00143775	−	0.0956092i
$737$	2.66261	−	9.93698i	0.0980784	−	0.366033i
$738$	25.2229	+	1.24583i	0.928468	+	0.0458595i
$739$	18.6332	+	10.7579i	0.685434	+	0.395735i	0.801899	−	0.597459i	$-0.203823\pi$
$739$	18.6332	+	10.7579i	0.685434	+	0.395735i	−0.116466	+	0.993195i	$0.537156\pi$
$740$	−11.0229	+	17.6943i	−0.405211	+	0.650457i
$741$			0.156403i			0.00574561i
$742$	0.148587	−	0.0332822i	0.00545481	−	0.00122183i
$743$	−24.7623	−	24.7623i	−0.908440	−	0.908440i	0.0877064	−	0.996146i	$-0.472046\pi$
$743$	−24.7623	−	24.7623i	−0.908440	−	0.908440i	−0.996146	+	0.0877064i	$0.972046\pi$
$744$	15.3869	+	6.68501i	0.564111	+	0.245084i
$745$	−7.20074	+	36.1477i	−0.263815	+	1.32435i
$746$	−22.5081	+	20.3893i	−0.824081	+	0.746505i
$747$	2.56105	−	9.55795i	0.0937038	−	0.349707i
$748$	49.0865	−	8.07747i	1.79478	−	0.295342i
$749$	9.69325	+	35.0643i	0.354183	+	1.28122i
$750$	7.79771	+	9.84735i	0.284732	+	0.359574i
$751$	−17.8739	+	10.3195i	−0.652229	+	0.376564i	−0.789310	−	0.613995i	$-0.789561\pi$
$751$	−17.8739	+	10.3195i	−0.652229	+	0.376564i	0.137081	+	0.990560i	$0.456228\pi$
$752$	34.4844	−	22.9888i	1.25752	−	0.838317i
$753$	−0.406039	−	1.51536i	−0.0147969	−	0.0552227i
$754$	−0.297439	−	1.37894i	−0.0108321	−	0.0502179i
$755$	−14.1997	−	41.8694i	−0.516779	−	1.52378i
$756$	−3.84056	−	22.2399i	−0.139680	−	0.808856i
$757$	17.9406	−	17.9406i	0.652062	−	0.652062i	−0.301428	−	0.953489i	$-0.597463\pi$
$757$	17.9406	−	17.9406i	0.652062	−	0.652062i	0.953489	+	0.301428i	$0.0974631\pi$
$758$	1.82097	−	2.82260i	0.0661406	−	0.102521i
$759$	−0.980561	+	1.69838i	−0.0355921	+	0.0616474i
$760$	2.49906	−	6.96080i	0.0906503	−	0.252495i
$761$	23.0670	+	39.9532i	0.836178	+	1.44830i	0.893068	+	0.449922i	$0.148548\pi$
$761$	23.0670	+	39.9532i	0.836178	+	1.44830i	−0.0568901	+	0.998380i	$0.518118\pi$
$762$	−2.68997	−	5.24035i	−0.0974474	−	0.189838i
$763$	0.200423	+	25.3465i	0.00725581	+	0.917604i
$764$	31.5317	+	22.6206i	1.14078	+	0.818385i
$765$	−24.4230	+	1.59391i	−0.883016	+	0.0576279i
$766$	−16.8102	+	15.2277i	−0.607377	+	0.550201i
$767$	0.176887	+	0.660150i	0.00638700	+	0.0238366i
$768$	11.7534	−	4.83924i	0.424115	−	0.174621i
$769$			6.10134i			0.220020i	0.993930	+	0.110010i	$0.0350883\pi$
$769$			6.10134i			0.220020i	−0.993930	+	0.110010i	$0.964912\pi$
$770$	−43.2159	+	12.6858i	−1.55739	+	0.457165i
$771$	−22.9392			−0.826134
$772$	−10.3899	+	8.51757i	−0.373941	+	0.306554i
$773$	−22.9303	+	6.14415i	−0.824745	+	0.220990i	−0.646420	−	0.762982i	$-0.723735\pi$
$773$	−22.9303	+	6.14415i	−0.824745	+	0.220990i	−0.178325	+	0.983972i	$0.557068\pi$
$774$	−13.0106	+	11.7858i	−0.467657	+	0.423633i
$775$	−14.3054	+	34.4817i	−0.513864	+	1.23862i
$776$	41.7642	−	30.9230i	1.49925	−	1.11007i
$777$	−4.96580	−	8.44607i	−0.178147	−	0.303001i
$778$	−26.9033	+	13.8100i	−0.964531	+	0.495113i
$779$	−7.63393	+	4.40745i	−0.273514	+	0.157913i
$780$	−0.408532	−	0.436894i	−0.0146278	−	0.0156433i
$781$	42.8387	+	24.7329i	1.53289	+	0.885014i
$782$	1.62446	−	2.51799i	0.0580905	−	0.0900433i
$783$	17.8683	+	17.8683i	0.638560	+	0.638560i
$784$	9.39049	+	26.3784i	0.335375	+	0.942085i
$785$	−14.0001	+	28.3695i	−0.499686	+	1.01255i
$786$	16.5391	−	3.56752i	0.589931	−	0.127249i
$787$	−34.1404	+	9.14789i	−1.21697	+	0.326087i	−0.809495	−	0.587127i	$-0.800259\pi$
$787$	−34.1404	+	9.14789i	−1.21697	+	0.326087i	−0.407479	+	0.913215i	$0.633592\pi$
$788$	−46.4396	−	17.5068i	−1.65434	−	0.623653i
$789$	11.6127	+	20.1138i	0.413423	+	0.716069i
$790$	8.27909	−	8.54523i	0.294557	−	0.304026i
$791$	−10.5961	+	40.8341i	−0.376755	+	1.45189i
$792$	35.6745	+	5.32082i	1.26764	+	0.189067i
$793$	1.44292	+	0.386628i	0.0512394	+	0.0137296i
$794$	5.73577	+	6.33182i	0.203555	+	0.224708i
$795$	−0.0141230	+	0.0708975i	−0.000500891	+	0.00251448i
$796$	−8.66820	−	0.858385i	−0.307236	−	0.0304246i
$797$	6.19387	−	6.19387i	0.219398	−	0.219398i	−0.588847	−	0.808245i	$-0.700418\pi$
$797$	6.19387	−	6.19387i	0.219398	−	0.219398i	0.808245	+	0.588847i	$0.200418\pi$
$798$	2.35389	+	2.55756i	0.0833268	+	0.0905368i
$799$	47.8739			1.69366
$800$	11.2011	+	25.9718i	0.396018	+	0.918243i
$801$	−7.09688	+	12.2922i	−0.250756	+	0.434322i
$802$	1.87666	−	37.9947i	0.0662672	−	1.34164i
$803$	26.0868	+	6.98993i	0.920582	+	0.246669i
$804$	1.76989	−	2.46711i	0.0624192	−	0.0870084i
$805$	−1.18133	+	2.44228i	−0.0416363	+	0.0860790i
$806$	0.544254	−	1.69234i	0.0191705	−	0.0596102i
$807$	−14.3860	−	3.85472i	−0.506411	−	0.135693i
$808$	−16.6505	+	20.9452i	−0.585762	+	0.736850i
$809$	−7.48705	−	4.32265i	−0.263231	−	0.151976i	0.362577	−	0.931954i	$-0.381897\pi$
$809$	−7.48705	−	4.32265i	−0.263231	−	0.151976i	−0.625807	+	0.779978i	$0.715230\pi$
$810$	−11.4047	−	2.86332i	−0.400719	−	0.100607i
$811$	−24.3051			−0.853467			−0.426733	−	0.904378i	$-0.640336\pi$
$811$	−24.3051			−0.853467			−0.426733	+	0.904378i	$0.640336\pi$
$812$	−25.6170	−	18.0724i	−0.898982	−	0.634217i
$813$	−3.81889	−	3.81889i	−0.133934	−	0.133934i
$814$	34.6905	−	7.48280i	1.21590	−	0.262272i
$815$	23.9732	+	35.9002i	0.839745	+	1.25753i
$816$	14.3973	+	2.87968i	0.504006	+	0.100809i
$817$	1.58596	−	5.91890i	0.0554859	−	0.207076i
$818$	−0.588856	−	1.14715i	−0.0205889	−	0.0401092i
$819$	−1.01706	+	0.281158i	−0.0355389	+	0.00982446i
$820$	9.81204	−	32.2519i	0.342651	−	1.12628i
$821$	−38.3022	+	22.1138i	−1.33676	+	0.771776i	−0.986325	−	0.164812i	$-0.947298\pi$
$821$	−38.3022	+	22.1138i	−1.33676	+	0.771776i	−0.350431	+	0.936589i	$0.613965\pi$
$822$	0.189128	−	3.82907i	0.00659660	−	0.133554i
$823$	−26.4773	+	7.09456i	−0.922939	+	0.247301i	−0.688841	−	0.724912i	$-0.741880\pi$
$823$	−26.4773	+	7.09456i	−0.922939	+	0.247301i	−0.234098	+	0.972213i	$0.575214\pi$
$824$	−6.65048	−	2.88938i	−0.231681	−	0.100656i
$825$	2.80286	−	21.1982i	0.0975829	−	0.738026i
$826$	12.8279	+	8.13285i	0.446339	+	0.282978i
$827$	8.92319	+	8.92319i	0.310290	+	0.310290i	0.845022	−	0.534732i	$-0.179587\pi$
$827$	8.92319	+	8.92319i	0.310290	+	0.310290i	−0.534732	+	0.845022i	$0.679587\pi$
$828$	1.68021	−	1.37742i	0.0583914	−	0.0478688i
$829$	23.0974	−	40.0059i	0.802205	−	1.38946i	−0.115956	−	0.993254i	$-0.536993\pi$
$829$	23.0974	−	40.0059i	0.802205	−	1.38946i	0.918162	−	0.396206i	$-0.129673\pi$
$830$	−11.5425	−	6.42280i	−0.400645	−	0.222939i
$831$	−2.87417	+	1.65940i	−0.0997039	+	0.0575641i
$832$	−0.633028	−	1.18886i	−0.0219463	−	0.0412162i
$833$	−7.87605	+	31.3700i	−0.272889	+	1.08691i
$834$	−10.5092	−	3.37975i	−0.363905	−	0.117031i
$835$	−6.16789	+	0.402532i	−0.213449	+	0.0139302i
$836$	−11.4706	+	5.18994i	−0.396720	+	0.179498i
$837$	8.24202	+	30.7597i	0.284886	+	1.06321i
$838$	−7.74217	+	12.0007i	−0.267449	+	0.414559i
$839$	35.2683			1.21760			0.608798	−	0.793325i	$-0.291652\pi$
$839$	35.2683			1.21760			0.608798	+	0.793325i	$0.291652\pi$
$840$	−13.2558	−	0.995790i	−0.457368	−	0.0343580i
$841$	6.10158			0.210399
$842$	7.73758	−	11.9936i	0.266654	−	0.413328i
$843$	−4.28354	−	15.9864i	−0.147533	−	0.550601i
$844$	−10.9067	−	24.1057i	−0.375426	−	0.829753i
$845$	19.1308	−	21.8021i	0.658118	−	0.750016i
$846$	33.0445	+	10.6270i	1.13609	+	0.365365i
$847$	41.3824	+	23.4578i	1.42192	+	0.806021i
$848$	−0.0721517	+	0.145919i	−0.00247770	+	0.00501087i
$849$	−15.8702	+	9.16269i	−0.544665	+	0.314463i
$850$	−5.87533	+	32.1394i	−0.201522	+	1.10237i
$851$	1.06883	−	1.85127i	0.0366391	−	0.0634608i
$852$	9.25589	+	11.2905i	0.317102	+	0.386808i
$853$	32.3007	+	32.3007i	1.10595	+	1.10595i	0.993677	+	0.112276i	$0.0358141\pi$
$853$	32.3007	+	32.3007i	1.10595	+	1.10595i	0.112276	+	0.993677i	$0.464186\pi$
$854$	29.4139	−	15.3938i	1.00652	−	0.526765i
$855$	5.86606	−	1.98943i	0.200615	−	0.0680371i
$856$	−35.6702	−	15.4973i	−1.21918	−	0.529687i
$857$	−23.7051	+	6.35176i	−0.809750	+	0.216972i	−0.639860	−	0.768491i	$-0.721008\pi$
$857$	−23.7051	+	6.35176i	−0.809750	+	0.216972i	−0.169890	+	0.985463i	$0.554341\pi$
$858$	−0.0502321	+	1.01700i	−0.00171490	+	0.0347197i
$859$	−9.59804	+	5.54143i	−0.327481	+	0.189071i	−0.654722	−	0.755870i	$-0.727214\pi$
$859$	−9.59804	+	5.54143i	−0.327481	+	0.189071i	0.327241	+	0.944941i	$0.393881\pi$
$860$	11.0302	+	20.6764i	0.376128	+	0.705058i
$861$	11.2915	+	11.1143i	0.384813	+	0.378776i
$862$	−4.39029	−	8.55274i	−0.149534	−	0.291307i
$863$	−5.18965	+	19.3681i	−0.176658	+	0.659296i	0.819605	+	0.572928i	$0.194193\pi$
$863$	−5.18965	+	19.3681i	−0.176658	+	0.659296i	−0.996263	+	0.0863678i	$0.972474\pi$
$864$	21.0739	+	11.7481i	0.716949	+	0.399679i
$865$	−22.3465	+	14.9224i	−0.759803	+	0.507377i
$866$	−12.0451	+	2.59816i	−0.409311	+	0.0882891i
$867$	2.44308	+	2.44308i	0.0829714	+	0.0829714i
$868$	−16.5702	−	35.8649i	−0.562428	−	1.21734i
$869$	−20.2545			−0.687085
$870$	12.7704	−	7.64481i	0.432956	−	0.259183i
$871$	−0.278637	−	0.160871i	−0.00944126	−	0.00545091i
$872$	−21.2116	−	16.8622i	−0.718315	−	0.571028i
$873$	42.0403	+	11.2647i	1.42285	+	0.381251i
$874$	−0.232180	+	0.721958i	−0.00785361	+	0.0244206i
$875$	1.72597	−	29.5300i	0.0583484	−	0.998296i
$876$	6.47672	+	4.64635i	0.218828	+	0.156986i
$877$	−30.7130	−	8.22953i	−1.03710	−	0.277891i	−0.300192	−	0.953879i	$-0.597051\pi$
$877$	−30.7130	−	8.22953i	−1.03710	−	0.277891i	−0.736913	+	0.675988i	$0.763717\pi$
$878$	−1.57810	+	31.9500i	−0.0532582	+	1.07826i
$879$	−2.57877	+	4.46656i	−0.0869797	+	0.150653i
$880$	18.4855	−	44.4593i	0.623146	−	1.49872i
$881$	4.70307			0.158451			0.0792253	−	0.996857i	$-0.474755\pi$
$881$	4.70307			0.158451			0.0792253	+	0.996857i	$0.474755\pi$
$882$	−12.3999	+	19.9045i	−0.417525	+	0.670219i
$883$	6.28588	−	6.28588i	0.211537	−	0.211537i	−0.593383	−	0.804920i	$-0.702208\pi$
$883$	6.28588	−	6.28588i	0.211537	−	0.211537i	0.804920	+	0.593383i	$0.202208\pi$
$884$	0.153319	−	1.54825i	0.00515667	−	0.0520734i
$885$	−5.99678	+	4.00450i	−0.201580	+	0.134610i
$886$	0.439694	+	0.485386i	0.0147718	+	0.0163069i
$887$	39.2169	+	10.5081i	1.31678	+	0.352829i	0.847769	−	0.530365i	$-0.177945\pi$
$887$	39.2169	+	10.5081i	1.31678	+	0.352829i	0.469007	+	0.883195i	$0.344612\pi$
$888$	10.3596	+	1.54513i	0.347646	+	0.0518510i
$889$	−3.48422	+	13.4271i	−0.116857	+	0.450330i
$890$	13.6081	+	13.1843i	0.456144	+	0.441938i
$891$	10.0085	+	17.3352i	0.335298	+	0.580753i
$892$	2.91166	−	7.72366i	0.0974895	−	0.258607i
$893$	−11.7033	+	3.13589i	−0.391635	+	0.104938i
$894$	18.1023	−	3.90471i	0.605433	−	0.130593i
$895$	−17.6587	−	52.0686i	−0.590264	−	1.74046i
$896$	−28.2440	−	9.91349i	−0.943565	−	0.331186i
$897$	0.0433698	+	0.0433698i	0.00144808	+	0.00144808i
$898$	−8.90924	+	13.8098i	−0.297305	+	0.460838i
$899$	38.3087	+	22.1175i	1.27767	+	0.737661i
$900$	−11.1897	+	20.8797i	−0.372989	+	0.695989i
$901$	−0.162843	+	0.0940174i	−0.00542508	+	0.00313217i
$902$	−51.0545	+	26.2072i	−1.69993	+	0.872606i
$903$	−11.0135	+	0.0870876i	−0.366507	+	0.00289809i
$904$	−26.8368	−	36.2454i	−0.892578	−	1.20551i
$905$	−11.1663	+	12.7255i	−0.371180	+	0.423011i
$906$	−16.4630	+	14.9133i	−0.546948	+	0.495460i
$907$	−7.30887	+	1.95841i	−0.242687	+	0.0650278i	−0.378112	−	0.925760i	$-0.623427\pi$
$907$	−7.30887	+	1.95841i	−0.242687	+	0.0650278i	0.135425	+	0.990788i	$0.456760\pi$
$908$	−0.676387	−	0.825072i	−0.0224467	−	0.0273810i
$909$	−22.4099			−0.743290
$910$	0.0334159	+	1.40821i	0.00110773	+	0.0466818i
$911$		−	55.7433i		−	1.84686i	−0.383769	−	0.923429i	$-0.625374\pi$
$911$		−	55.7433i		−	1.84686i	0.383769	−	0.923429i	$-0.374626\pi$
$912$	−3.70820	+	0.239099i	−0.122791	+	0.00791734i
$913$	5.81988	+	21.7201i	0.192610	+	0.718830i
$914$	0.849333	−	0.769380i	0.0280934	−	0.0254488i
$915$	1.02643	+	15.7278i	0.0339329	+	0.519943i
$916$	20.8288	−	29.0340i	0.688203	−	0.959311i
$917$	−34.6632	−	19.6490i	−1.14468	−	0.648867i
$918$	12.7274	+	24.7943i	0.420067	+	0.818335i
$919$	8.04239	+	13.9298i	0.265294	+	0.459503i	0.967641	−	0.252332i	$-0.0811976\pi$
$919$	8.04239	+	13.9298i	0.265294	+	0.459503i	−0.702347	+	0.711835i	$0.747864\pi$
$920$	−1.23722	−	2.62317i	−0.0407899	−	0.0864834i
$921$	−1.24427	+	2.15514i	−0.0410002	+	0.0710144i
$922$	−14.9221	+	23.1300i	−0.491433	+	0.761746i
$923$	1.09393	−	1.09393i	0.0360070	−	0.0360070i
$924$	14.4845	+	17.3863i	0.476506	+	0.571968i
$925$	−3.05517	+	23.1065i	−0.100453	+	0.759736i
$926$	−4.91466	−	22.7845i	−0.161506	−	0.748746i
$927$	−1.57180	−	5.86605i	−0.0516248	−	0.192666i
$928$	32.2388	−	9.16008i	1.05829	−	0.300694i
$929$	34.4420	−	19.8851i	1.13000	−	0.652408i	0.186068	−	0.982537i	$-0.440425\pi$
$929$	34.4420	−	19.8851i	1.13000	−	0.652408i	0.943936	+	0.330129i	$0.107092\pi$
$930$	18.7542	−	0.296672i	0.614973	−	0.00972825i
$931$	−0.129446	−	8.18463i	−0.00424241	−	0.268241i
$932$	−1.04782	−	6.36754i	−0.0343224	−	0.208576i
$933$	0.460582	−	1.71892i	0.0150788	−	0.0562748i
$934$	−15.7141	+	14.2349i	−0.514183	+	0.465780i
$935$	46.2537	−	30.8870i	1.51266	−	1.01011i
$936$	0.449508	−	1.03463i	0.0146926	−	0.0338181i
$937$	12.9049	+	12.9049i	0.421583	+	0.421583i	0.885749	−	0.464165i	$-0.153646\pi$
$937$	12.9049	+	12.9049i	0.421583	+	0.421583i	−0.464165	+	0.885749i	$0.653646\pi$
$938$	−6.97752	+	1.56290i	−0.227824	+	0.0510306i
$939$		−	21.4122i		−	0.698761i
$940$	24.5007	−	39.3292i	0.799124	−	1.28278i
$941$	20.6121	+	11.9004i	0.671935	+	0.387942i	0.796810	−	0.604231i	$-0.206519\pi$
$941$	20.6121	+	11.9004i	0.671935	+	0.387942i	−0.124874	+	0.992173i	$0.539853\pi$
$942$	15.8756	+	0.784138i	0.517255	+	0.0255486i
$943$	−0.894687	+	3.33902i	−0.0291350	+	0.108733i
$944$	−15.3812	+	5.20304i	−0.500617	+	0.169345i
$945$	−14.1783	−	20.8729i	−0.461220	−	0.678995i
$946$	12.2136	−	37.9777i	0.397097	−	1.23476i
$947$	−9.77275	+	36.4724i	−0.317572	+	1.18519i	0.603999	+	0.796985i	$0.293573\pi$
$947$	−9.77275	+	36.4724i	−0.317572	+	1.18519i	−0.921571	+	0.388209i	$0.873094\pi$
$948$	−5.59372	−	2.10872i	−0.181676	−	0.0684879i
$949$	0.422322	−	0.731484i	0.0137092	−	0.0237450i
$950$	−0.668938	−	8.24166i	−0.0217032	−	0.267395i
$951$			6.80134i			0.220549i
$952$	−20.7943	−	27.6251i	−0.673948	−	0.895336i
$953$	−16.9786	+	16.9786i	−0.549992	+	0.549992i	−0.926438	−	0.376446i	$-0.877146\pi$
$953$	−16.9786	+	16.9786i	−0.549992	+	0.549992i	0.376446	+	0.926438i	$0.377146\pi$
$954$	−0.133271	+	0.0287467i	−0.00431480	+	0.000930709i
$955$	42.5509	+	8.47626i	1.37691	+	0.274285i
$956$	1.03303	+	2.28318i	0.0334107	+	0.0738432i
$957$	−24.4737	−	6.55770i	−0.791122	−	0.211980i
$958$	−2.47480	+	1.27036i	−0.0799573	+	0.0410436i
$959$	−6.33333	+	6.43429i	−0.204514	+	0.207774i
$960$	9.73389	−	10.3539i	0.314160	−	0.334170i
$961$	12.3726	+	21.4299i	0.399116	+	0.691288i
$962$	0.0547541	−	1.10855i	0.00176534	−	0.0357410i
$963$	−8.43043	−	31.4628i	−0.271667	−	1.01387i
$964$	40.7038	+	4.03077i	1.31098	+	0.129822i
$965$	−6.64729	+	13.4699i	−0.213984	+	0.433611i
$966$	1.36192	+	0.0564777i	0.0438191	+	0.00181714i
$967$	4.89297	−	4.89297i	0.157347	−	0.157347i	−0.624043	−	0.781390i	$-0.714511\pi$
$967$	4.89297	−	4.89297i	0.157347	−	0.157347i	0.781390	+	0.624043i	$0.214511\pi$
$968$	−47.3090	+	18.6517i	−1.52057	+	0.599487i
$969$	−3.71728	−	2.14617i	−0.119416	−	0.0689450i
$970$	28.2505	−	50.7692i	0.907068	−	1.63010i
$971$	−17.0181	−	29.4762i	−0.546136	−	0.945935i	−0.998534	−	0.0541191i	$-0.982765\pi$
$971$	−17.0181	−	29.4762i	−0.546136	−	0.945935i	0.452399	−	0.891816i	$-0.350568\pi$
$972$	5.11453	+	31.0808i	0.164049	+	0.996917i
$973$	13.1762	+	22.4108i	0.422411	+	0.718457i
$974$	−6.42926	+	19.9916i	−0.206007	+	0.640572i
$975$	−0.617696	−	0.256263i	−0.0197821	−	0.00820698i
$976$	−6.96083	+	34.8015i	−0.222811	+	1.11397i
$977$	−3.49244	+	0.935797i	−0.111733	+	0.0299388i	−0.314252	−	0.949339i	$-0.601754\pi$
$977$	−3.49244	+	0.935797i	−0.111733	+	0.0299388i	0.202519	+	0.979278i	$0.435087\pi$
$978$	11.7581	−	18.2257i	0.375984	−	0.582794i
$979$		−	32.2548i		−	1.03087i
$980$	21.7402	+	22.5247i	0.694466	+	0.719525i
$981$		−	22.6949i		−	0.724594i
$982$	−24.8004	−	15.9997i	−0.791412	−	0.510572i
$983$	13.7081	−	3.67308i	0.437221	−	0.117153i	−0.0334930	−	0.999439i	$-0.510663\pi$
$983$	13.7081	−	3.67308i	0.437221	−	0.117153i	0.470714	+	0.882286i	$0.343996\pi$
$984$	−16.8283	+	1.92238i	−0.536467	+	0.0612832i
$985$	−55.3701	+	3.61360i	−1.76424	+	0.115139i
$986$	36.8551	+	11.8525i	1.17370	+	0.377461i
$987$	11.0375	+	18.7731i	0.351327	+	0.597554i
$988$	0.0639350	+	0.388530i	0.00203404	+	0.0123608i
$989$	−1.20150	−	2.08106i	−0.0382055	−	0.0661739i
$990$	38.7825	−	11.0521i	1.23259	−	0.351258i
$991$	0.814821	+	0.470437i	0.0258836	+	0.0149439i	0.512886	−	0.858457i	$-0.328576\pi$
$991$	0.814821	+	0.470437i	0.0258836	+	0.0149439i	−0.487002	+	0.873401i	$0.661910\pi$
$992$	40.9562	+	10.3167i	1.30036	+	0.327556i
$993$	−14.9794	+	14.9794i	−0.475357	+	0.475357i
$994$	1.42455	−	34.3521i	0.0451840	−	1.08958i
$995$	−9.22278	+	3.12784i	−0.292382	+	0.0991591i
$996$	−0.654014	+	6.60440i	−0.0207232	+	0.209269i
$997$	12.4810	+	46.5797i	0.395277	+	1.47519i	0.821308	+	0.570484i	$0.193245\pi$
$997$	12.4810	+	46.5797i	0.395277	+	1.47519i	−0.426032	+	0.904708i	$0.640089\pi$
$998$	7.02225	+	0.346848i	0.222285	+	0.0109793i
$999$	9.94103	+	17.2184i	0.314520	+	0.544765i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.67.8	✓	176
5.3	odd	4	inner	280.2.br.a.123.15	yes	176
7.2	even	3	inner	280.2.br.a.107.22	yes	176
8.3	odd	2	inner	280.2.br.a.67.44	yes	176
35.23	odd	12	inner	280.2.br.a.163.44	yes	176
40.3	even	4	inner	280.2.br.a.123.22	yes	176
56.51	odd	6	inner	280.2.br.a.107.15	yes	176
280.163	even	12	inner	280.2.br.a.163.8	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.8	✓	176	1.1	even	1	trivial
280.2.br.a.67.44	yes	176	8.3	odd	2	inner
280.2.br.a.107.15	yes	176	56.51	odd	6	inner
280.2.br.a.107.22	yes	176	7.2	even	3	inner
280.2.br.a.123.15	yes	176	5.3	odd	4	inner
280.2.br.a.123.22	yes	176	40.3	even	4	inner
280.2.br.a.163.8	yes	176	280.163	even	12	inner
280.2.br.a.163.44	yes	176	35.23	odd	12	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.18837 - 0.766666i) q^{2} +(0.205610 + 0.767348i) q^{3} +(0.824448 + 1.82217i) q^{4} +(1.68075 + 1.47481i) q^{5} +(0.343958 - 1.06953i) q^{6} +(-2.28076 + 1.34095i) q^{7} +(0.417242 - 2.79748i) q^{8} +(2.05153 - 1.18445i) q^{9} +O(q^{10})\)	\(q+(-1.18837 - 0.766666i) q^{2} +(0.205610 + 0.767348i) q^{3} +(0.824448 + 1.82217i) q^{4} +(1.68075 + 1.47481i) q^{5} +(0.343958 - 1.06953i) q^{6} +(-2.28076 + 1.34095i) q^{7} +(0.417242 - 2.79748i) q^{8} +(2.05153 - 1.18445i) q^{9} +(-0.866669 - 3.04120i) q^{10} +(-2.69162 + 4.66202i) q^{11} +(-1.22872 + 1.00729i) q^{12} +(0.119049 + 0.119049i) q^{13} +(3.73844 + 0.155030i) q^{14} +(-0.786114 + 1.59296i) q^{15} +(-2.64057 + 3.00456i) q^{16} +(-4.46307 + 1.19588i) q^{17} +(-3.34605 - 0.165270i) q^{18} +(1.01271 - 0.584690i) q^{19} +(-1.30166 + 4.27851i) q^{20} +(-1.49792 - 1.47442i) q^{21} +(6.77285 - 3.47664i) q^{22} +(0.118689 - 0.442952i) q^{23} +(2.23243 - 0.255021i) q^{24} +(0.649858 + 4.95759i) q^{25} +(-0.0502036 - 0.232745i) q^{26} +(3.01591 + 3.01591i) q^{27} +(-4.32380 - 3.05037i) q^{28} +5.92466 q^{29} +(2.15546 - 1.29034i) q^{30} +(6.46598 + 3.73313i) q^{31} +(5.44147 - 1.54609i) q^{32} +(-4.13082 - 1.10685i) q^{33} +(6.22062 + 2.00054i) q^{34} +(-5.81104 - 1.10988i) q^{35} +(3.84964 + 2.76171i) q^{36} +(4.50268 + 1.20649i) q^{37} +(-1.65174 - 0.0815838i) q^{38} +(-0.0668744 + 0.115830i) q^{39} +(4.82704 - 4.08652i) q^{40} -7.53811 q^{41} +(0.649701 + 2.90056i) q^{42} +(3.70533 - 3.70533i) q^{43} +(-10.7141 - 1.06098i) q^{44} +(5.19495 + 1.03485i) q^{45} +(-0.480642 + 0.435396i) q^{46} +(-10.0081 - 2.68167i) q^{47} +(-2.84847 - 1.40847i) q^{48} +(3.40370 - 6.11677i) q^{49} +(3.02854 - 6.38967i) q^{50} +(-1.83531 - 3.17885i) q^{51} +(-0.118777 + 0.315077i) q^{52} +(0.0393090 - 0.0105328i) q^{53} +(-1.27183 - 5.89622i) q^{54} +(-11.3995 + 3.86607i) q^{55} +(2.79966 + 6.93988i) q^{56} +(0.656885 + 0.656885i) q^{57} +(-7.04069 - 4.54223i) q^{58} +(3.51551 + 2.02968i) q^{59} +(-3.55074 - 0.119118i) q^{60} +(7.68399 - 4.43635i) q^{61} +(-4.82191 - 9.39359i) q^{62} +(-3.09075 + 5.45244i) q^{63} +(-7.65182 - 2.33445i) q^{64} +(0.0245170 + 0.375667i) q^{65} +(4.06036 + 4.48230i) q^{66} +(-1.84591 + 0.494611i) q^{67} +(-5.85866 - 7.14652i) q^{68} +0.364302 q^{69} +(6.05476 + 5.77407i) q^{70} -9.18887i q^{71} +(-2.45750 - 6.23332i) q^{72} +(-1.29846 - 4.84593i) q^{73} +(-4.42588 - 4.88581i) q^{74} +(-3.67058 + 1.51800i) q^{75} +(1.90033 + 1.36328i) q^{76} +(-0.112618 - 14.2423i) q^{77} +(0.168274 - 0.0863785i) q^{78} +(1.88125 + 3.25842i) q^{79} +(-8.86931 + 1.15558i) q^{80} +(1.85920 - 3.22023i) q^{81} +(8.95806 + 5.77921i) q^{82} +(2.95365 - 2.95365i) q^{83} +(1.45168 - 3.94505i) q^{84} +(-9.26502 - 4.57222i) q^{85} +(-7.24405 + 1.56255i) q^{86} +(1.21817 + 4.54627i) q^{87} +(11.9189 + 9.47495i) q^{88} +(-5.18897 + 2.99585i) q^{89} +(-5.38015 - 5.21258i) q^{90} +(-0.431161 - 0.111883i) q^{91} +(0.904984 - 0.148920i) q^{92} +(-1.53514 + 5.72923i) q^{93} +(9.83740 + 10.8597i) q^{94} +(2.56443 + 0.510842i) q^{95} +(2.30521 + 3.85761i) q^{96} +(12.9915 + 12.9915i) q^{97} +(-8.73437 + 4.65949i) q^{98} +12.7524i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

L-functions

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