LMFDB - Embedded newform 627.2.s.a.94.20

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [627,2,Mod(94,627)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("627.94"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(627, base_ring=CyclotomicField(10)) chi = DirichletCharacter(H, H._module([0, 9, 5])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 627 = 3 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	627.s (of order $10$, degree $4$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$5.00662020673$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$40$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			94.20
Character	$\chi$	$=$	627.94
Dual form			627.2.s.a.607.20

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0187862 - 0.0578180i) q^{2} +(0.587785 - 0.809017i) q^{3} +(1.61504 - 1.17340i) q^{4} +(0.974011 - 2.99770i) q^{5} +(-0.0578180 - 0.0187862i) q^{6} +(-0.650624 - 0.895507i) q^{7} +(-0.196550 - 0.142802i) q^{8} +(-0.309017 - 0.951057i) q^{9} -0.191619 q^{10} +(2.22523 + 2.45934i) q^{11} -1.99630i q^{12} +(0.541018 + 1.66508i) q^{13} +(-0.0395537 + 0.0544410i) q^{14} +(-1.85268 - 2.54999i) q^{15} +(1.22922 - 3.78315i) q^{16} +(0.585490 + 0.190237i) q^{17} +(-0.0491830 + 0.0357335i) q^{18} +(2.91029 + 3.24503i) q^{19} +(-1.94442 - 5.98432i) q^{20} -1.10691 q^{21} +(0.100390 - 0.174860i) q^{22} -4.89096 q^{23} +(-0.231058 + 0.0750755i) q^{24} +(-3.99241 - 2.90066i) q^{25} +(0.0861081 - 0.0625612i) q^{26} +(-0.951057 - 0.309017i) q^{27} +(-2.10157 - 0.682842i) q^{28} +(-5.29895 + 3.84991i) q^{29} +(-0.112631 + 0.155023i) q^{30} +(-0.261761 + 0.0850511i) q^{31} -0.727725 q^{32} +(3.29760 - 0.354688i) q^{33} -0.0374258i q^{34} +(-3.31818 + 1.07814i) q^{35} +(-1.61504 - 1.17340i) q^{36} +(5.24279 + 7.21609i) q^{37} +(0.132948 - 0.229229i) q^{38} +(1.66508 + 0.541018i) q^{39} +(-0.619519 + 0.450107i) q^{40} +(-8.99611 - 6.53606i) q^{41} +(0.0207946 + 0.0639992i) q^{42} +7.28014i q^{43} +(6.47963 + 1.36086i) q^{44} -3.15197 q^{45} +(0.0918827 + 0.282786i) q^{46} +(1.14570 + 0.832400i) q^{47} +(-2.33811 - 3.21814i) q^{48} +(1.78450 - 5.49212i) q^{49} +(-0.0927080 + 0.285326i) q^{50} +(0.498048 - 0.361853i) q^{51} +(2.82757 + 2.05435i) q^{52} +(0.602123 - 0.195642i) q^{53} +0.0607935i q^{54} +(9.53975 - 4.27515i) q^{55} +0.268922i q^{56} +(4.33591 - 0.447089i) q^{57} +(0.322142 + 0.234050i) q^{58} +(-5.42232 - 7.46318i) q^{59} +(-5.98432 - 1.94442i) q^{60} +(6.81262 + 2.21356i) q^{61} +(0.00983498 + 0.0135367i) q^{62} +(-0.650624 + 0.895507i) q^{63} +(-2.44477 - 7.52422i) q^{64} +5.51837 q^{65} +(-0.0824569 - 0.183998i) q^{66} +7.47476i q^{67} +(1.16882 - 0.379772i) q^{68} +(-2.87483 + 3.95687i) q^{69} +(0.124672 + 0.171596i) q^{70} +(6.65858 + 2.16351i) q^{71} +(-0.0750755 + 0.231058i) q^{72} +(0.574692 + 0.790996i) q^{73} +(0.318728 - 0.438691i) q^{74} +(-4.69336 + 1.52497i) q^{75} +(8.50796 + 1.82594i) q^{76} +(0.754565 - 3.59282i) q^{77} -0.106435i q^{78} +(-1.82913 - 5.62949i) q^{79} +(-10.1435 - 7.36966i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-0.208899 + 0.642925i) q^{82} +(10.0166 + 3.25460i) q^{83} +(-1.78770 + 1.29884i) q^{84} +(1.14055 - 1.56983i) q^{85} +(0.420924 - 0.136766i) q^{86} +6.54986i q^{87} +(-0.0861713 - 0.801151i) q^{88} -15.4384i q^{89} +(0.0592135 + 0.182241i) q^{90} +(1.13909 - 1.56783i) q^{91} +(-7.89912 + 5.73904i) q^{92} +(-0.0850511 + 0.261761i) q^{93} +(0.0266044 - 0.0818798i) q^{94} +(12.5623 - 5.56346i) q^{95} +(-0.427746 + 0.588742i) q^{96} +(-16.2477 + 5.27921i) q^{97} -0.351068 q^{98} +(1.65133 - 2.87630i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 40 q^{4} + 4 q^{5} - 10 q^{7} + 40 q^{9} + 10 q^{11} - 40 q^{16} - 50 q^{17} + 76 q^{20} + 16 q^{23} - 80 q^{25} - 68 q^{26} - 40 q^{35} + 40 q^{36} - 62 q^{38} + 8 q^{42} + 40 q^{44} - 4 q^{45}+ \cdots - 10 q^{99}+O(q^{100}) $ 160 * q - 40 * q^4 + 4 * q^5 - 10 * q^7 + 40 * q^9 + 10 * q^11 - 40 * q^16 - 50 * q^17 + 76 * q^20 + 16 * q^23 - 80 * q^25 - 68 * q^26 - 40 * q^35 + 40 * q^36 - 62 * q^38 + 8 * q^42 + 40 * q^44 - 4 * q^45 + 20 * q^47 + 110 * q^49 - 18 * q^55 - 20 * q^57 - 24 * q^58 + 10 * q^61 + 120 * q^62 - 10 * q^63 - 136 * q^64 - 12 * q^66 + 160 * q^68 + 20 * q^73 - 100 * q^74 + 90 * q^77 - 156 * q^80 - 40 * q^81 + 68 * q^82 - 200 * q^83 + 30 * q^85 - 84 * q^92 - 96 * q^93 - 60 * q^95 + 100 * q^96 - 10 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/627\mathbb{Z}\right)^\times$.

$n$	$343$	$419$	$496$
$\chi(n)$	$e\left(\frac{9}{10}\right)$	$1$	$-1$

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 $

$2$	−0.0187862	−	0.0578180i	−0.0132839	−	0.0408835i	0.944195	−	0.329387i	$-0.106842\pi$
$2$	−0.0187862	−	0.0578180i	−0.0132839	−	0.0408835i	−0.957479	+	0.288504i	$0.906842\pi$
$3$	0.587785	−	0.809017i	0.339358	−	0.467086i
$3$	0.587785	−	0.809017i	0.339358	−	0.467086i
$4$	1.61504	−	1.17340i	0.807522	−	0.586699i
$5$	0.974011	−	2.99770i	0.435591	−	1.34061i	−0.456889	−	0.889524i	$-0.651036\pi$
$5$	0.974011	−	2.99770i	0.435591	−	1.34061i	0.892480	−	0.451088i	$-0.148964\pi$
$6$	−0.0578180	−	0.0187862i	−0.0236041	−	0.00766944i
$7$	−0.650624	−	0.895507i	−0.245913	−	0.338470i	0.668162	−	0.744016i	$-0.267081\pi$
$7$	−0.650624	−	0.895507i	−0.245913	−	0.338470i	−0.914075	+	0.405546i	$0.867081\pi$
$8$	−0.196550	−	0.142802i	−0.0694909	−	0.0504881i
$9$	−0.309017	−	0.951057i	−0.103006	−	0.317019i
$10$	−0.191619			−0.0605953
$11$	2.22523	+	2.45934i	0.670933	+	0.741518i
$11$	2.22523	+	2.45934i	0.670933	+	0.741518i
$12$		−	1.99630i		−	0.576283i
$13$	0.541018	+	1.66508i	0.150051	+	0.461810i	0.997626	−	0.0688658i	$-0.0219380\pi$
$13$	0.541018	+	1.66508i	0.150051	+	0.461810i	−0.847575	+	0.530676i	$0.821938\pi$
$14$	−0.0395537	+	0.0544410i	−0.0105712	+	0.0145500i
$15$	−1.85268	−	2.54999i	−0.478360	−	0.658406i
$16$	1.22922	−	3.78315i	0.307305	−	0.945787i
$17$	0.585490	+	0.190237i	0.142002	+	0.0461393i	0.379156	−	0.925333i	$-0.376214\pi$
$17$	0.585490	+	0.190237i	0.142002	+	0.0461393i	−0.237154	+	0.971472i	$0.576214\pi$
$18$	−0.0491830	+	0.0357335i	−0.0115925	+	0.00842247i
$19$	2.91029	+	3.24503i	0.667666	+	0.744461i
$19$	2.91029	+	3.24503i	0.667666	+	0.744461i
$20$	−1.94442	−	5.98432i	−0.434786	−	1.33813i
$21$	−1.10691			−0.241547
$22$	0.100390	−	0.174860i	0.0214033	−	0.0372803i
$23$	−4.89096			−1.01984			−0.509918	−	0.860223i	$-0.670324\pi$
$23$	−4.89096			−1.01984			−0.509918	+	0.860223i	$0.670324\pi$
$24$	−0.231058	+	0.0750755i	−0.0471646	+	0.0153247i
$25$	−3.99241	−	2.90066i	−0.798482	−	0.580131i
$26$	0.0861081	−	0.0625612i	0.0168872	−	0.0122693i
$27$	−0.951057	−	0.309017i	−0.183031	−	0.0594703i
$28$	−2.10157	−	0.682842i	−0.397160	−	0.129045i
$29$	−5.29895	+	3.84991i	−0.983990	+	0.714911i	−0.958597	−	0.284767i	$-0.908084\pi$
$29$	−5.29895	+	3.84991i	−0.983990	+	0.714911i	−0.0253936	+	0.999678i	$0.508084\pi$
$30$	−0.112631	+	0.155023i	−0.0205635	+	0.0283032i
$31$	−0.261761	+	0.0850511i	−0.0470136	+	0.0152756i	−0.332429	−	0.943128i	$-0.607868\pi$
$31$	−0.261761	+	0.0850511i	−0.0470136	+	0.0152756i	0.285416	+	0.958404i	$0.407868\pi$
$32$	−0.727725			−0.128645
$33$	3.29760	−	0.354688i	0.574039	−	0.0617433i
$34$		−	0.0374258i		−	0.00641846i
$35$	−3.31818	+	1.07814i	−0.560874	+	0.182239i
$36$	−1.61504	−	1.17340i	−0.269174	−	0.195566i
$37$	5.24279	+	7.21609i	0.861910	+	1.18632i	0.981111	+	0.193447i	$0.0619668\pi$
$37$	5.24279	+	7.21609i	0.861910	+	1.18632i	−0.119201	+	0.992870i	$0.538033\pi$
$38$	0.132948	−	0.229229i	0.0215670	−	0.0371858i
$39$	1.66508	+	0.541018i	0.266626	+	0.0866322i
$40$	−0.619519	+	0.450107i	−0.0979546	+	0.0711682i
$41$	−8.99611	−	6.53606i	−1.40496	−	1.02076i	−0.994032	−	0.109091i	$-0.965206\pi$
$41$	−8.99611	−	6.53606i	−1.40496	−	1.02076i	−0.410924	−	0.911669i	$-0.634794\pi$
$42$	0.0207946	+	0.0639992i	0.00320868	+	0.00987530i
$43$			7.28014i			1.11021i	0.831780	+	0.555106i	$0.187322\pi$
$43$			7.28014i			1.11021i	−0.831780	+	0.555106i	$0.812678\pi$
$44$	6.47963	+	1.36086i	0.976841	+	0.205157i
$45$	−3.15197			−0.469867
$46$	0.0918827	+	0.282786i	0.0135474	+	0.0416945i
$47$	1.14570	+	0.832400i	0.167118	+	0.121418i	0.668200	−	0.743981i	$-0.267065\pi$
$47$	1.14570	+	0.832400i	0.167118	+	0.121418i	−0.501083	+	0.865399i	$0.667065\pi$
$48$	−2.33811	−	3.21814i	−0.337478	−	0.464498i
$49$	1.78450	−	5.49212i	0.254928	−	0.784588i
$50$	−0.0927080	+	0.285326i	−0.0131109	+	0.0403512i
$51$	0.498048	−	0.361853i	0.0697407	−	0.0506696i
$52$	2.82757	+	2.05435i	0.392114	+	0.284887i
$53$	0.602123	−	0.195642i	0.0827079	−	0.0268734i	−0.267371	−	0.963594i	$-0.586155\pi$
$53$	0.602123	−	0.195642i	0.0827079	−	0.0268734i	0.350079	+	0.936720i	$0.386155\pi$
$54$			0.0607935i			0.00827295i
$55$	9.53975	−	4.27515i	1.28634	−	0.576461i
$56$			0.268922i			0.0359363i
$57$	4.33591	−	0.447089i	0.574305	−	0.0592184i
$58$	0.322142	+	0.234050i	0.0422993	+	0.0307322i
$59$	−5.42232	−	7.46318i	−0.705926	−	0.971624i	−0.999875	−	0.0158026i	$-0.994970\pi$
$59$	−5.42232	−	7.46318i	−0.705926	−	0.971624i	0.293949	−	0.955821i	$-0.405030\pi$
$60$	−5.98432	−	1.94442i	−0.772572	−	0.251024i
$61$	6.81262	+	2.21356i	0.872267	+	0.283417i	0.710743	−	0.703452i	$-0.248359\pi$
$61$	6.81262	+	2.21356i	0.872267	+	0.283417i	0.161524	+	0.986869i	$0.448359\pi$
$62$	0.00983498	+	0.0135367i	0.00124904	+	0.00171916i
$63$	−0.650624	+	0.895507i	−0.0819709	+	0.112823i
$64$	−2.44477	−	7.52422i	−0.305596	−	0.940528i
$65$	5.51837			0.684469
$66$	−0.0824569	−	0.183998i	−0.0101497	−	0.0226486i
$67$			7.47476i			0.913187i	0.889675	+	0.456594i	$0.150931\pi$
$67$			7.47476i			0.913187i	−0.889675	+	0.456594i	$0.849069\pi$
$68$	1.16882	−	0.379772i	0.141740	−	0.0460541i
$69$	−2.87483	+	3.95687i	−0.346089	+	0.476351i
$70$	0.124672	+	0.171596i	0.0149011	+	0.0205097i
$71$	6.65858	+	2.16351i	0.790229	+	0.256761i	0.676201	−	0.736717i	$-0.263625\pi$
$71$	6.65858	+	2.16351i	0.790229	+	0.256761i	0.114027	+	0.993478i	$0.463625\pi$
$72$	−0.0750755	+	0.231058i	−0.00884773	+	0.0272305i
$73$	0.574692	+	0.790996i	0.0672626	+	0.0925790i	0.841323	−	0.540533i	$-0.181777\pi$
$73$	0.574692	+	0.790996i	0.0672626	+	0.0925790i	−0.774060	+	0.633112i	$0.781777\pi$
$74$	0.318728	−	0.438691i	0.0370513	−	0.0509968i
$75$	−4.69336	+	1.52497i	−0.541943	+	0.176088i
$76$	8.50796	+	1.82594i	0.975929	+	0.209450i
$77$	0.754565	−	3.59282i	0.0859906	−	0.409439i
$78$		−	0.106435i		−	0.0120514i
$79$	−1.82913	−	5.62949i	−0.205793	−	0.633367i	−0.999680	−	0.0253010i	$-0.991946\pi$
$79$	−1.82913	−	5.62949i	−0.205793	−	0.633367i	0.793886	−	0.608066i	$-0.208054\pi$
$80$	−10.1435	−	7.36966i	−1.13407	−	0.823953i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	−0.208899	+	0.642925i	−0.0230690	+	0.0709992i
$83$	10.0166	+	3.25460i	1.09947	+	0.357239i	0.801898	−	0.597462i	$-0.203824\pi$
$83$	10.0166	+	3.25460i	1.09947	+	0.357239i	0.297570	+	0.954700i	$0.403824\pi$
$84$	−1.78770	+	1.29884i	−0.195055	+	0.141715i
$85$	1.14055	−	1.56983i	0.123710	−	0.170272i
$86$	0.420924	−	0.136766i	0.0453893	−	0.0147479i
$87$			6.54986i			0.702219i
$88$	−0.0861713	−	0.801151i	−0.00918589	−	0.0854029i
$89$		−	15.4384i		−	1.63647i	−0.574887	−	0.818233i	$-0.694954\pi$
$89$		−	15.4384i		−	1.63647i	0.574887	−	0.818233i	$-0.305046\pi$
$90$	0.0592135	+	0.182241i	0.00624165	+	0.0192098i
$91$	1.13909	−	1.56783i	0.119409	−	0.164353i
$92$	−7.89912	+	5.73904i	−0.823540	+	0.598337i
$93$	−0.0850511	+	0.261761i	−0.00881939	+	0.0271433i
$94$	0.0266044	−	0.0818798i	0.00274403	−	0.00844525i
$95$	12.5623	−	5.56346i	1.28886	−	0.570799i
$96$	−0.427746	+	0.588742i	−0.0436567	+	0.0600882i
$97$	−16.2477	+	5.27921i	−1.64971	+	0.536023i	−0.978677	−	0.205406i	$-0.934149\pi$
$97$	−16.2477	+	5.27921i	−1.64971	+	0.536023i	−0.671032	+	0.741428i	$0.734149\pi$
$98$	−0.351068			−0.0354632
$99$	1.65133	−	2.87630i	0.165965	−	0.289079i
$100$	−9.85155			−0.985155
$101$	−0.371984	+	0.120865i	−0.0370138	+	0.0120265i	−0.327465	−	0.944863i	$-0.606194\pi$
$101$	−0.371984	+	0.120865i	−0.0370138	+	0.0120265i	0.290452	+	0.956890i	$0.406194\pi$
$102$	−0.0302781	−	0.0219983i	−0.00299798	−	0.00217816i
$103$	5.86911	+	8.07813i	0.578300	+	0.795962i	0.993508	−	0.113765i	$-0.0362910\pi$
$103$	5.86911	+	8.07813i	0.578300	+	0.795962i	−0.415207	+	0.909727i	$0.636291\pi$
$104$	0.131440	−	0.404530i	0.0128887	−	0.0396675i
$105$	−1.07814	+	3.31818i	−0.105216	+	0.323821i
$106$	−0.0226232	−	0.0311382i	−0.00219736	−	0.00302441i
$107$	3.34732	+	2.43197i	0.323598	+	0.235108i	0.737709	−	0.675119i	$-0.235908\pi$
$107$	3.34732	+	2.43197i	0.323598	+	0.235108i	−0.414111	+	0.910226i	$0.635908\pi$
$108$	−1.89860	+	0.616892i	−0.182693	+	0.0593605i
$109$	15.1105			1.44732			0.723661	−	0.690155i	$-0.242458\pi$
$109$	15.1105			1.44732			0.723661	+	0.690155i	$0.242458\pi$
$110$	−0.426397	−	0.471256i	−0.0406553	−	0.0449325i
$111$	8.91957			0.846608
$112$	−4.18760	+	1.36063i	−0.395691	+	0.128568i
$113$	−0.321169	+	0.442051i	−0.0302130	+	0.0415846i	−0.823856	−	0.566799i	$-0.808182\pi$
$113$	−0.321169	+	0.442051i	−0.0302130	+	0.0415846i	0.793643	+	0.608383i	$0.208182\pi$
$114$	−0.107305	−	0.242295i	−0.0100501	−	0.0226930i
$115$	−4.76385	+	14.6616i	−0.444231	+	1.36720i
$116$	−4.04056	+	12.4356i	−0.375156	+	1.15461i
$117$	1.41640	−	1.02908i	0.130946	−	0.0951382i
$118$	−0.329642	+	0.453713i	−0.0303460	+	0.0417677i
$119$	−0.210575	−	0.648084i	−0.0193034	−	0.0594098i
$120$			0.765768i			0.0699047i
$121$	−1.09668	+	10.9452i	−0.0996985	+	0.995018i
$122$		−	0.435477i		−	0.0394262i
$123$	−10.5756	+	3.43621i	−0.953566	+	0.309832i
$124$	−0.322956	+	0.444511i	−0.0290023	+	0.0399182i
$125$	0.166024	−	0.120623i	0.0148496	−	0.0107889i
$126$	0.0639992	+	0.0207946i	0.00570150	+	0.00185253i
$127$	6.33965	−	19.5114i	0.562553	−	1.73136i	−0.112559	−	0.993645i	$-0.535905\pi$
$127$	6.33965	−	19.5114i	0.562553	−	1.73136i	0.675112	−	0.737715i	$-0.264095\pi$
$128$	−1.56659	+	1.13820i	−0.138468	+	0.100603i
$129$	5.88976	+	4.27916i	0.518564	+	0.376759i
$130$	−0.103669	−	0.319061i	−0.00909240	−	0.0279835i
$131$			21.3948i			1.86928i	0.355602	+	0.934638i	$0.384276\pi$
$131$			21.3948i			1.86928i	−0.355602	+	0.934638i	$0.615724\pi$
$132$	4.90959	−	4.44224i	0.427325	−	0.386647i
$133$	1.01245	−	4.71748i	0.0877903	−	0.409057i
$134$	0.432176	−	0.140423i	0.0373343	−	0.0121307i
$135$	−1.85268	+	2.54999i	−0.159453	+	0.219469i
$136$	−0.0879119	−	0.121000i	−0.00753838	−	0.0103757i
$137$	−4.95704	+	15.2562i	−0.423508	+	1.30342i	0.480907	+	0.876772i	$0.340307\pi$
$137$	−4.95704	+	15.2562i	−0.423508	+	1.30342i	−0.904415	+	0.426653i	$0.859693\pi$
$138$	0.282786	+	0.0918827i	0.0240723	+	0.00782157i
$139$	3.01091	+	4.14416i	0.255382	+	0.351503i	0.917387	−	0.397996i	$-0.130294\pi$
$139$	3.01091	+	4.14416i	0.255382	+	0.351503i	−0.662005	+	0.749499i	$0.730294\pi$
$140$	−4.09391	+	5.63478i	−0.345999	+	0.476226i
$141$	1.34685	−	0.437618i	0.113425	−	0.0368541i
$142$		−	0.425630i		−	0.0357181i
$143$	−2.89111	+	5.03574i	−0.241767	+	0.421110i
$144$	−3.97784			−0.331487
$145$	6.37964	+	19.6345i	0.529800	+	1.63056i
$146$	0.0349375	−	0.0480874i	0.00289145	−	0.00397974i
$147$	−3.39432	−	4.67188i	−0.279958	−	0.385330i
$148$	16.9347	+	5.50241i	1.39202	+	0.452296i
$149$	−13.1421	−	4.27011i	−1.07664	−	0.349821i	−0.283569	−	0.958952i	$-0.591519\pi$
$149$	−13.1421	−	4.27011i	−1.07664	−	0.349821i	−0.793070	+	0.609131i	$0.791519\pi$
$150$	0.176341	+	0.242713i	0.0143982	+	0.0198174i
$151$	−10.8395	−	7.87533i	−0.882103	−	0.640885i	0.0517044	−	0.998662i	$-0.483535\pi$
$151$	−10.8395	−	7.87533i	−0.882103	−	0.640885i	−0.933807	+	0.357777i	$0.883535\pi$
$152$	−0.108620	−	1.05341i	−0.00881025	−	0.0854425i
$153$		−	0.615621i		−	0.0497700i
$154$	−0.221905	+	0.0238680i	−0.0178816	+	0.00192333i
$155$			0.867520i			0.0696809i
$156$	3.32401	−	1.08004i	0.266134	−	0.0864721i
$157$	−10.6769	−	7.75719i	−0.852106	−	0.619091i	0.0736200	−	0.997286i	$-0.476545\pi$
$157$	−10.6769	−	7.75719i	−0.852106	−	0.619091i	−0.925726	+	0.378195i	$0.876545\pi$
$158$	−0.291124	+	0.211514i	−0.0231605	+	0.0168271i
$159$	0.195642	−	0.602123i	0.0155154	−	0.0477514i
$160$	−0.708812	+	2.18150i	−0.0560365	+	0.172463i
$161$	3.18218	+	4.37989i	0.250791	+	0.345184i
$162$	0.0491830	+	0.0357335i	0.00386418	+	0.00280749i
$163$	2.50133	+	7.69831i	0.195919	+	0.602978i	0.999965	+	0.00840992i	$0.00267699\pi$
$163$	2.50133	+	7.69831i	0.195919	+	0.602978i	−0.804045	+	0.594568i	$0.797323\pi$
$164$	−22.1985			−1.73341
$165$	2.14866	−	10.2307i	0.167273	−	0.796458i
$166$		−	0.640283i		−	0.0496956i
$167$	1.91910	+	5.90639i	0.148505	+	0.457050i	0.997445	−	0.0714386i	$-0.0227590\pi$
$167$	1.91910	+	5.90639i	0.148505	+	0.457050i	−0.848940	+	0.528488i	$0.822759\pi$
$168$	0.217563	+	0.158069i	0.0167853	+	0.0121953i
$169$	8.03743	−	5.83953i	0.618263	−	0.449195i
$170$	−0.112191	−	0.0364531i	−0.00860467	−	0.00279583i
$171$	2.18688	−	3.77062i	0.167235	−	0.288346i
$172$	8.54250	+	11.7577i	0.651360	+	0.896520i
$173$	−11.3592	−	8.25292i	−0.863622	−	0.627458i	0.0652459	−	0.997869i	$-0.479217\pi$
$173$	−11.3592	−	8.25292i	−0.863622	−	0.627458i	−0.928868	+	0.370411i	$0.879217\pi$
$174$	0.378700	−	0.123047i	0.0287092	−	0.00932818i
$175$			5.46247i			0.412924i
$176$	12.0393	−	5.39532i	0.907499	−	0.406687i
$177$	−9.22500			−0.693394
$178$	−0.892618	+	0.290029i	−0.0669045	+	0.0217386i
$179$	−10.1198	+	13.9287i	−0.756390	+	1.04108i	0.241116	+	0.970496i	$0.422487\pi$
$179$	−10.1198	+	13.9287i	−0.756390	+	1.04108i	−0.997506	+	0.0705847i	$0.977513\pi$
$180$	−5.09056	+	3.69851i	−0.379428	+	0.275671i
$181$	0.907073	+	0.294726i	0.0674222	+	0.0219068i	0.342534	−	0.939505i	$-0.388715\pi$
$181$	0.907073	+	0.294726i	0.0674222	+	0.0219068i	−0.275112	+	0.961412i	$0.588715\pi$
$182$	−0.112048	−	0.0364066i	−0.00830555	−	0.00269864i
$183$	5.79516	−	4.21043i	0.428391	−	0.311244i
$184$	0.961319	+	0.698439i	0.0708694	+	0.0514896i
$185$	26.7382	−	8.68776i	1.96583	−	0.638737i
$186$	0.0167323			0.00122687
$187$	0.834994	+	1.86324i	0.0610608	+	0.136254i
$188$	2.82709			0.206187
$189$	0.342053	+	1.05273i	0.0248807	+	0.0765750i
$190$	−0.557666	−	0.621810i	−0.0404574	−	0.0451108i
$191$	14.4675	−	10.5112i	1.04683	−	0.760567i	0.0752234	−	0.997167i	$-0.476033\pi$
$191$	14.4675	−	10.5112i	1.04683	−	0.760567i	0.971607	+	0.236600i	$0.0760330\pi$
$192$	−7.52422	−	2.44477i	−0.543014	−	0.176436i
$193$	−0.751918	+	2.31417i	−0.0541242	+	0.166577i	−0.974465	−	0.224541i	$-0.927912\pi$
$193$	−0.751918	+	2.31417i	−0.0541242	+	0.166577i	0.920340	+	0.391118i	$0.127912\pi$
$194$	0.610468	+	0.840236i	0.0438290	+	0.0603255i
$195$	3.24362	−	4.46445i	0.232280	−	0.319706i
$196$	−3.56240	−	10.9639i	−0.254457	−	0.783139i
$197$		−	3.30537i		−	0.235498i	−0.993043	−	0.117749i	$-0.962432\pi$
$197$		−	3.30537i		−	0.235498i	0.993043	−	0.117749i	$-0.0375678\pi$
$198$	−0.197324	−	0.0414421i	−0.0140232	−	0.00294517i
$199$	−1.98662			−0.140828			−0.0704138	−	0.997518i	$-0.522432\pi$
$199$	−1.98662			−0.140828			−0.0704138	+	0.997518i	$0.522432\pi$
$200$	0.370489	+	1.14025i	0.0261975	+	0.0806278i
$201$	6.04721	+	4.39355i	0.426537	+	0.309897i
$202$	0.0139763	+	0.0192368i	0.000983371	+	0.00135349i
$203$	6.89525	+	2.24040i	0.483952	+	0.157245i
$204$	0.379772	−	1.16882i	0.0265893	−	0.0818336i
$205$	−28.3554	+	20.6014i	−1.98043	+	1.43887i
$206$	0.356804	−	0.491098i	0.0248597	−	0.0342164i
$207$	1.51139	+	4.65158i	0.105049	+	0.323307i
$208$	6.96428			0.482886
$209$	−1.50457	+	14.3783i	−0.104073	+	0.994570i
$210$	0.212105			0.0146366
$211$	−4.09679	−	12.6086i	−0.282034	−	0.868012i	−0.987272	−	0.159041i	$-0.949160\pi$
$211$	−4.09679	−	12.6086i	−0.282034	−	0.868012i	0.705238	−	0.708971i	$-0.250840\pi$
$212$	0.742889	−	1.02250i	0.0510219	−	0.0702256i
$213$	5.66413	−	4.11523i	0.388100	−	0.281971i
$214$	0.0777283	−	0.239223i	0.00531340	−	0.0163530i
$215$	21.8237	+	7.09094i	1.48836	+	0.483598i
$216$	0.142802	+	0.196550i	0.00971645	+	0.0133735i
$217$	0.246472	+	0.179072i	0.0167316	+	0.0121562i
$218$	−0.283869	−	0.873659i	−0.0192260	−	0.0591716i
$219$	0.977724			0.0660685
$220$	10.3907	−	18.0985i	0.700539	−	1.22020i
$221$			1.07781i			0.0725014i
$222$	−0.167565	−	0.515712i	−0.0112462	−	0.0346123i
$223$	7.30438	−	10.0536i	0.489137	−	0.673240i	−0.491091	−	0.871108i	$-0.663402\pi$
$223$	7.30438	−	10.0536i	0.489137	−	0.673240i	0.980229	+	0.197868i	$0.0634019\pi$
$224$	0.473475	+	0.651683i	0.0316354	+	0.0435424i
$225$	−1.52497	+	4.69336i	−0.101664	+	0.312891i
$226$	0.0315920	+	0.0102649i	0.00210147	+	0.000682810i
$227$	−4.45713	+	3.23830i	−0.295830	+	0.214933i	−0.725793	−	0.687914i	$-0.758527\pi$
$227$	−4.45713	+	3.23830i	−0.295830	+	0.214933i	0.429962	+	0.902847i	$0.358527\pi$
$228$	6.47807	−	5.80982i	0.429021	−	0.384765i
$229$	4.83713	+	14.8872i	0.319647	+	0.983771i	0.973799	+	0.227409i	$0.0730253\pi$
$229$	4.83713	+	14.8872i	0.319647	+	0.983771i	−0.654153	+	0.756362i	$0.726975\pi$
$230$	0.937201			0.0617972
$231$	−2.46313	−	2.72226i	−0.162062	−	0.179112i
$232$	1.59128			0.104473
$233$	−21.1767	+	6.88073i	−1.38733	+	0.450772i	−0.905073	−	0.425256i	$-0.860184\pi$
$233$	−21.1767	+	6.88073i	−1.38733	+	0.450772i	−0.482260	+	0.876028i	$0.660184\pi$
$234$	−0.0861081	−	0.0625612i	−0.00562906	−	0.00408975i
$235$	3.61121	−	2.62370i	0.235569	−	0.171151i
$236$	−17.5146	−	5.69083i	−1.14010	−	0.370441i
$237$	−5.62949	−	1.82913i	−0.365675	−	0.118815i
$238$	−0.0335150	+	0.0243501i	−0.00217246	+	0.00157838i
$239$	8.77396	−	12.0763i	0.567540	−	0.781152i	−0.424721	−	0.905324i	$-0.639628\pi$
$239$	8.77396	−	12.0763i	0.567540	−	0.781152i	0.992261	+	0.124173i	$0.0396277\pi$
$240$	−11.9244	+	3.87446i	−0.769714	+	0.250095i
$241$	−2.07004			−0.133343			−0.0666714	−	0.997775i	$-0.521238\pi$
$241$	−2.07004			−0.133343			−0.0666714	+	0.997775i	$0.521238\pi$
$242$	0.653432	−	0.142211i	0.0420042	−	0.00914165i
$243$			1.00000i			0.0641500i
$244$	13.6001	−	4.41893i	0.870655	−	0.282893i
$245$	−14.7256	−	10.6988i	−0.940784	−	0.683519i
$246$	0.397350	+	0.546905i	0.0253341	+	0.0348694i
$247$	−3.82873	+	6.60148i	−0.243616	+	0.420042i
$248$	0.0635945	+	0.0206631i	0.00403826	+	0.00131211i
$249$	8.52065	−	6.19061i	0.539974	−	0.392314i
$250$	−0.0100932	−	0.00733312i	−0.000638348	−	0.000463787i
$251$	0.0513608	+	0.158072i	0.00324186	+	0.00997743i	0.952664	−	0.304024i	$-0.0983303\pi$
$251$	0.0513608	+	0.158072i	0.00324186	+	0.00997743i	−0.949422	+	0.314001i	$0.898330\pi$
$252$			2.20972i			0.139200i
$253$	−10.8835	−	12.0285i	−0.684241	−	0.756227i
$254$	−1.24721			−0.0782570
$255$	−0.599622	−	1.84545i	−0.0375498	−	0.115566i
$256$	−12.7057	−	9.23126i	−0.794108	−	0.576954i
$257$	−14.5584	−	20.0380i	−0.908130	−	1.24993i	−0.967801	−	0.251716i	$-0.919005\pi$
$257$	−14.5584	−	20.0380i	−0.908130	−	1.24993i	0.0596713	−	0.998218i	$-0.480995\pi$
$258$	0.136766	−	0.420924i	0.00851470	−	0.0262056i
$259$	3.05097	−	9.38992i	0.189578	−	0.583461i
$260$	8.91241	−	6.47524i	0.552724	−	0.401578i
$261$	5.29895	+	3.84991i	0.327997	+	0.238304i
$262$	1.23701	−	0.401928i	0.0764226	−	0.0248312i
$263$			11.7358i			0.723658i	0.932244	+	0.361829i	$0.117848\pi$
$263$			11.7358i			0.723658i	−0.932244	+	0.361829i	$0.882152\pi$
$264$	−0.698795	−	0.401191i	−0.0430078	−	0.0246916i
$265$		−	1.99554i		−	0.122585i
$266$	−0.291775	+	0.0300859i	−0.0178899	+	0.00184468i
$267$	−12.4899	−	9.07446i	−0.764371	−	0.555348i
$268$	8.77087	+	12.0721i	0.535766	+	0.737419i
$269$	10.4929	+	3.40936i	0.639765	+	0.207872i	0.610896	−	0.791711i	$-0.290809\pi$
$269$	10.4929	+	3.40936i	0.639765	+	0.207872i	0.0288693	+	0.999583i	$0.490809\pi$
$270$	0.182241	+	0.0592135i	0.0110908	+	0.00360362i
$271$	−2.69588	−	3.71057i	−0.163763	−	0.225401i	0.719247	−	0.694754i	$-0.244487\pi$
$271$	−2.69588	−	3.71057i	−0.163763	−	0.225401i	−0.883010	+	0.469354i	$0.844487\pi$
$272$	1.43939	−	1.98115i	0.0872760	−	0.120125i
$273$	−0.598857	−	1.84309i	−0.0362445	−	0.111549i
$274$	0.975207			0.0589144
$275$	−1.75035	−	16.2733i	−0.105550	−	0.981318i
$276$			9.76384i			0.587714i
$277$	−17.1326	+	5.56671i	−1.02940	+	0.334471i	−0.774552	−	0.632511i	$-0.782024\pi$
$277$	−17.1326	+	5.56671i	−1.02940	+	0.334471i	−0.254845	+	0.966982i	$0.582024\pi$
$278$	0.183044	−	0.251938i	0.0109782	−	0.0151102i
$279$	0.161777	+	0.222667i	0.00968533	+	0.0133307i
$280$	0.806148	+	0.261933i	0.0481766	+	0.0156535i
$281$	−5.95218	+	18.3189i	−0.355077	+	1.09281i	0.600888	+	0.799333i	$0.294814\pi$
$281$	−5.95218	+	18.3189i	−0.355077	+	1.09281i	−0.955965	+	0.293481i	$0.905186\pi$
$282$	−0.0506045	−	0.0696511i	−0.00301345	−	0.00414766i
$283$	14.2810	−	19.6561i	0.848915	−	1.16843i	−0.135186	−	0.990820i	$-0.543163\pi$
$283$	14.2810	−	19.6561i	0.848915	−	1.16843i	0.984101	−	0.177611i	$-0.0568369\pi$
$284$	13.2926	−	4.31901i	0.788768	−	0.256286i
$285$	2.88299	−	13.4332i	0.170773	−	0.795715i
$286$	0.345469	+	0.0725557i	0.0204280	+	0.00429031i
$287$			12.3086i			0.726553i
$288$	0.224879	+	0.692108i	0.0132511	+	0.0407828i
$289$	−13.4467	−	9.76958i	−0.790981	−	0.574681i
$290$	1.01538	−	0.737717i	0.0596252	−	0.0433202i
$291$	−5.27921	+	16.2477i	−0.309473	+	0.952460i
$292$	1.85631	+	0.603150i	0.108632	+	0.0352967i
$293$	4.83765	−	3.51476i	0.282619	−	0.205334i	−0.437440	−	0.899247i	$-0.644115\pi$
$293$	4.83765	−	3.51476i	0.282619	−	0.205334i	0.720059	+	0.693913i	$0.244115\pi$
$294$	−0.206352	+	0.284020i	−0.0120347	+	0.0165644i
$295$	−27.6538	+	8.98525i	−1.61006	+	0.523142i
$296$		−	2.16700i		−	0.125955i
$297$	−1.35634	−	3.02660i	−0.0787031	−	0.175621i
$298$			0.840067i			0.0486638i
$299$	−2.64610	−	8.14385i	−0.153028	−	0.470971i
$300$	−5.79059	+	7.97007i	−0.334320	+	0.460152i
$301$	6.51942	−	4.73663i	0.375773	−	0.273015i
$302$	−0.251704	+	0.774664i	−0.0144839	+	0.0445769i
$303$	−0.120865	+	0.371984i	−0.00694350	+	0.0213699i
$304$	15.8538	−	7.02119i	0.909279	−	0.402693i
$305$	13.2711	−	18.2662i	0.759904	−	1.04592i
$306$	−0.0355940	+	0.0115652i	−0.00203477	+	0.000661138i
$307$	8.65292			0.493848			0.246924	−	0.969035i	$-0.420580\pi$
$307$	8.65292			0.493848			0.246924	+	0.969035i	$0.420580\pi$
$308$	−2.99715	−	6.68796i	−0.170778	−	0.381082i
$309$	9.98512			0.568034
$310$	0.0501583	−	0.0162974i	0.00284880	−	0.000925631i
$311$	−7.32330	−	5.32069i	−0.415266	−	0.301709i	0.360464	−	0.932773i	$-0.382618\pi$
$311$	−7.32330	−	5.32069i	−0.415266	−	0.301709i	−0.775730	+	0.631064i	$0.782618\pi$
$312$	−0.250013	−	0.344114i	−0.0141542	−	0.0194816i
$313$	−8.54327	+	26.2935i	−0.482894	+	1.48620i	0.352114	+	0.935957i	$0.385463\pi$
$313$	−8.54327	+	26.2935i	−0.482894	+	1.48620i	−0.835008	+	0.550238i	$0.814537\pi$
$314$	−0.247928	+	0.763043i	−0.0139914	+	0.0430610i
$315$	2.05075	+	2.82261i	0.115546	+	0.159036i
$316$	−9.55976	−	6.94557i	−0.537779	−	0.390719i
$317$	16.2740	−	5.28774i	0.914038	−	0.296989i	0.186019	−	0.982546i	$-0.440441\pi$
$317$	16.2740	−	5.28774i	0.914038	−	0.296989i	0.728019	+	0.685557i	$0.240441\pi$
$318$	−0.0384889			−0.00215835
$319$	−21.2596	−	4.46496i	−1.19031	−	0.249990i
$320$	−24.9366			−1.39400
$321$	3.93501	−	1.27856i	0.219631	−	0.0713624i
$322$	0.193456	−	0.266269i	0.0107809	−	0.0148386i
$323$	1.08662	+	2.45358i	0.0604611	+	0.136521i
$324$	−0.616892	+	1.89860i	−0.0342718	+	0.105478i
$325$	2.66986	−	8.21700i	0.148097	−	0.455797i
$326$	0.398111	−	0.289244i	0.0220493	−	0.0160198i
$327$	8.88172	−	12.2246i	0.491160	−	0.676024i
$328$	0.834824	+	2.56932i	0.0460955	+	0.141867i
$329$		−	1.56756i		−	0.0864225i
$330$	−0.631884	+	0.0679650i	−0.0347841	+	0.00374135i
$331$		−	4.05304i		−	0.222775i	−0.993777	−	0.111388i	$-0.964470\pi$
$331$		−	4.05304i		−	0.222775i	0.993777	−	0.111388i	$-0.0355295\pi$
$332$	19.9962	−	6.49717i	1.09744	−	0.356578i
$333$	5.24279	−	7.21609i	0.287303	−	0.395439i
$334$	0.305443	−	0.221917i	0.0167131	−	0.0121428i
$335$	22.4071	+	7.28050i	1.22423	+	0.397776i
$336$	−1.36063	+	4.18760i	−0.0742286	+	0.228452i
$337$	−12.7492	+	9.26284i	−0.694494	+	0.504579i	−0.878134	−	0.478414i	$-0.841212\pi$
$337$	−12.7492	+	9.26284i	−0.694494	+	0.504579i	0.183641	+	0.982993i	$0.441212\pi$
$338$	−0.488623	−	0.355005i	−0.0265776	−	0.0193098i
$339$	0.168848	+	0.519662i	0.00917058	+	0.0282241i
$340$		−	3.87366i		−	0.210079i
$341$	−0.791647	−	0.454499i	−0.0428701	−	0.0246125i
$342$	−0.259093	−	0.0556055i	−0.0140101	−	0.00300680i
$343$	−13.4484	+	4.36965i	−0.726145	+	0.235939i
$344$	1.03962	−	1.43091i	0.0560525	−	0.0771496i
$345$	9.06138	+	12.4719i	0.487848	+	0.671466i
$346$	−0.263772	+	0.811806i	−0.0141805	+	0.0436430i
$347$	0.879335	+	0.285713i	0.0472052	+	0.0153379i	0.332524	−	0.943095i	$-0.392100\pi$
$347$	0.879335	+	0.285713i	0.0472052	+	0.0153379i	−0.285319	+	0.958433i	$0.592100\pi$
$348$	7.68560	+	10.5783i	0.411991	+	0.567057i
$349$	11.7428	−	16.1625i	0.628575	−	0.865160i	−0.369367	−	0.929284i	$-0.620425\pi$
$349$	11.7428	−	16.1625i	0.628575	−	0.865160i	0.997942	+	0.0641240i	$0.0204253\pi$
$350$	0.315829	−	0.102619i	0.0168818	−	0.00548523i
$351$		−	1.75077i		−	0.0934492i
$352$	−1.61936	−	1.78972i	−0.0863120	−	0.0953925i
$353$	−1.32207			−0.0703667			−0.0351834	−	0.999381i	$-0.511202\pi$
$353$	−1.32207			−0.0703667			−0.0351834	+	0.999381i	$0.511202\pi$
$354$	0.173303	+	0.533371i	0.00921095	+	0.0283484i
$355$	12.9711	−	17.8531i	0.688433	−	0.947547i
$356$	−18.1154	−	24.9337i	−0.960113	−	1.32148i
$357$	−0.648084	−	0.210575i	−0.0343002	−	0.0111448i
$358$	0.995444	+	0.323439i	0.0526108	+	0.0170943i
$359$	−3.47504	−	4.78299i	−0.183406	−	0.252436i	0.707408	−	0.706806i	$-0.249865\pi$
$359$	−3.47504	−	4.78299i	−0.183406	−	0.252436i	−0.890813	+	0.454370i	$0.849865\pi$
$360$	0.619519	+	0.450107i	0.0326515	+	0.0237227i
$361$	−2.06046	+	18.8879i	−0.108445	+	0.994102i
$362$		−	0.0579820i		−	0.00304747i
$363$	8.21023	+	7.32066i	0.430926	+	0.384235i
$364$		−	3.86872i		−	0.202776i
$365$	2.93092	−	0.952315i	0.153412	−	0.0498464i
$366$	−0.352308	−	0.255967i	−0.0184154	−	0.0133796i
$367$	21.4970	−	15.6185i	1.12214	−	0.815280i	0.137605	−	0.990487i	$-0.456060\pi$
$367$	21.4970	−	15.6185i	1.12214	−	0.815280i	0.984532	+	0.175208i	$0.0560597\pi$
$368$	−6.01206	+	18.5032i	−0.313401	+	0.964548i
$369$	−3.43621	+	10.5756i	−0.178882	+	0.550542i
$370$	−1.00462	−	1.38274i	−0.0522277	−	0.0718852i
$371$	−0.566954	−	0.411916i	−0.0294348	−	0.0213856i
$372$	0.169788	+	0.522554i	0.00880310	+	0.0270931i
$373$	−32.9231			−1.70469			−0.852347	−	0.522977i	$-0.824821\pi$
$373$	−32.9231			−1.70469			−0.852347	+	0.522977i	$0.824821\pi$
$374$	0.0920426	−	0.0832810i	0.00475941	−	0.00430636i
$375$		−	0.205217i		−	0.0105974i
$376$	−0.106319	−	0.327217i	−0.00548299	−	0.0168749i
$377$	−9.27724	−	6.74031i	−0.477802	−	0.347144i
$378$	0.0544410	−	0.0395537i	0.00280014	−	0.00203442i
$379$	−23.0180	−	7.47899i	−1.18235	−	0.384170i	−0.349113	−	0.937081i	$-0.613517\pi$
$379$	−23.0180	−	7.47899i	−1.18235	−	0.384170i	−0.833240	+	0.552911i	$0.813517\pi$
$380$	13.7605	−	23.7258i	0.705897	−	1.21711i
$381$	−12.0587	−	16.5974i	−0.617787	−	0.850311i
$382$	−0.879529	−	0.639015i	−0.0450006	−	0.0326949i
$383$	31.4476	−	10.2180i	1.60690	−	0.522113i	0.638098	−	0.769955i	$-0.279721\pi$
$383$	31.4476	−	10.2180i	1.60690	−	0.522113i	0.968801	+	0.247842i	$0.0797213\pi$
$384$			1.93641i			0.0988172i
$385$	−10.0352	−	5.76140i	−0.511442	−	0.293628i
$386$	0.147926			0.00752925
$387$	6.92383	−	2.24969i	0.351958	−	0.114358i
$388$	−20.0462	+	27.5912i	−1.01769	+	1.40073i
$389$	20.3760	−	14.8040i	1.03311	−	0.750595i	0.0641772	−	0.997939i	$-0.479558\pi$
$389$	20.3760	−	14.8040i	1.03311	−	0.750595i	0.968928	+	0.247344i	$0.0795577\pi$
$390$	−0.319061	−	0.103669i	−0.0161563	−	0.00524950i
$391$	−2.86361	−	0.930443i	−0.144819	−	0.0470546i
$392$	−1.13503	+	0.824647i	−0.0573276	+	0.0416509i
$393$	17.3088	+	12.5756i	0.873113	+	0.634353i
$394$	−0.191110	+	0.0620954i	−0.00962799	+	0.00312832i
$395$	−18.6571			−0.938741
$396$	−0.708066	−	6.58302i	−0.0355816	−	0.330809i
$397$	5.69792			0.285971			0.142985	−	0.989725i	$-0.454330\pi$
$397$	5.69792			0.285971			0.142985	+	0.989725i	$0.454330\pi$
$398$	0.0373210	+	0.114862i	0.00187073	+	0.00575753i
$399$	−3.22142	−	3.59195i	−0.161273	−	0.179822i
$400$	−15.8812	+	11.5383i	−0.794058	+	0.576917i
$401$	13.5584	+	4.40539i	0.677074	+	0.219995i	0.627314	−	0.778766i	$-0.284154\pi$
$401$	13.5584	+	4.40539i	0.677074	+	0.219995i	0.0497602	+	0.998761i	$0.484154\pi$
$402$	0.140423	−	0.432176i	0.00700364	−	0.0215550i
$403$	−0.283234	−	0.389838i	−0.0141089	−	0.0194192i
$404$	−0.458947	+	0.631687i	−0.0228335	+	0.0314276i
$405$	0.974011	+	2.99770i	0.0483990	+	0.148957i
$406$		−	0.440758i		−	0.0218745i
$407$	−6.08036	+	28.9513i	−0.301392	+	1.43506i
$408$	−0.149565			−0.00740456
$409$	−7.20566	−	22.1767i	−0.356297	−	1.09657i	−0.955254	−	0.295788i	$-0.904418\pi$
$409$	−7.20566	−	22.1767i	−0.356297	−	1.09657i	0.598957	−	0.800781i	$-0.295582\pi$
$410$	1.72383	+	1.25243i	0.0851337	+	0.0618532i
$411$	9.42884	+	12.9777i	0.465091	+	0.640142i
$412$	18.9577	+	6.15974i	0.933981	+	0.303469i
$413$	−3.15544	+	9.71145i	−0.155269	+	0.477869i
$414$	0.240552	−	0.174771i	0.0118225	−	0.00858954i
$415$	19.5126	−	26.8568i	0.957836	−	1.31835i
$416$	−0.393712	−	1.21172i	−0.0193033	−	0.0594095i
$417$	5.12247			0.250848
$418$	0.859592	−	0.183123i	0.0420440	−	0.00895686i
$419$	32.7390			1.59940			0.799702	−	0.600396i	$-0.204991\pi$
$419$	32.7390			1.59940			0.799702	+	0.600396i	$0.204991\pi$
$420$	2.15230	+	6.62409i	0.105021	+	0.323222i
$421$	2.74412	−	3.77695i	0.133740	−	0.184078i	−0.736894	−	0.676008i	$-0.763709\pi$
$421$	2.74412	−	3.77695i	0.133740	−	0.184078i	0.870635	+	0.491930i	$0.163709\pi$
$422$	−0.652042	+	0.473736i	−0.0317409	+	0.0230611i
$423$	0.437618	−	1.34685i	0.0212777	−	0.0654861i
$424$	−0.146285	−	0.0475310i	−0.00710424	−	0.00230831i
$425$	−1.78571	−	2.45781i	−0.0866194	−	0.119221i
$426$	−0.344342	−	0.250179i	−0.0166834	−	0.0121212i
$427$	−2.45020	−	7.54095i	−0.118574	−	0.364932i
$428$	8.25974			0.399250
$429$	2.37465	+	5.29889i	0.114649	+	0.255833i
$430$		−	1.39501i		−	0.0672735i
$431$	7.70141	+	23.7025i	0.370964	+	1.14171i	0.946162	+	0.323695i	$0.104925\pi$
$431$	7.70141	+	23.7025i	0.370964	+	1.14171i	−0.575198	+	0.818014i	$0.695075\pi$
$432$	−2.33811	+	3.21814i	−0.112493	+	0.154833i
$433$	−1.36483	−	1.87852i	−0.0655894	−	0.0902760i	0.774962	−	0.632008i	$-0.217769\pi$
$433$	−1.36483	−	1.87852i	−0.0655894	−	0.0902760i	−0.840551	+	0.541732i	$0.817769\pi$
$434$	0.00572333	−	0.0176146i	0.000274729	−	0.000845527i
$435$	19.6345	+	6.37964i	0.941403	+	0.305880i
$436$	24.4041	−	17.7306i	1.16874	−	0.849143i
$437$	−14.2341	−	15.8713i	−0.680909	−	0.759228i
$438$	−0.0183677	−	0.0565301i	−0.000877645	−	0.00270111i
$439$	15.6131			0.745175			0.372587	−	0.927997i	$-0.378471\pi$
$439$	15.6131			0.745175			0.372587	+	0.927997i	$0.378471\pi$
$440$	−2.48554	−	0.522014i	−0.118493	−	0.0248861i
$441$	−5.77476			−0.274988
$442$	0.0623169	−	0.0202480i	0.00296411	−	0.000963099i
$443$	−14.2160	−	10.3286i	−0.675424	−	0.490724i	0.196412	−	0.980521i	$-0.437071\pi$
$443$	−14.2160	−	10.3286i	−0.675424	−	0.490724i	−0.871837	+	0.489797i	$0.837071\pi$
$444$	14.4055	−	10.4662i	0.683655	−	0.496704i
$445$	−46.2796	−	15.0372i	−2.19387	−	0.712830i
$446$	−0.718502	−	0.233455i	−0.0340221	−	0.0110544i
$447$	−11.1793	+	8.12224i	−0.528763	+	0.384169i
$448$	−5.14737	+	7.08475i	−0.243190	+	0.334723i
$449$	−21.5646	+	7.00677i	−1.01770	+	0.330670i	−0.769915	−	0.638146i	$-0.779702\pi$
$449$	−21.5646	+	7.00677i	−1.01770	+	0.330670i	−0.247782	+	0.968816i	$0.579702\pi$
$450$	0.300009			0.0141426
$451$	−3.94406	−	36.6687i	−0.185719	−	1.72666i
$452$			1.09079i			0.0513064i
$453$	−12.7425	+	4.14030i	−0.598697	+	0.194528i
$454$	0.270965	+	0.196867i	0.0127170	+	0.00923944i
$455$	−3.59038	−	4.94174i	−0.168320	−	0.231672i
$456$	−0.916069	−	0.531301i	−0.0428988	−	0.0248805i
$457$	−15.8024	−	5.13450i	−0.739204	−	0.240182i	−0.0848747	−	0.996392i	$-0.527049\pi$
$457$	−15.8024	−	5.13450i	−0.739204	−	0.240182i	−0.654329	+	0.756210i	$0.727049\pi$
$458$	0.769875	−	0.559347i	0.0359739	−	0.0261366i
$459$	−0.498048	−	0.361853i	−0.0232469	−	0.0168899i
$460$	9.51009	+	29.2691i	0.443410	+	1.36468i
$461$			4.36730i			0.203405i	0.994815	+	0.101703i	$0.0324291\pi$
$461$			4.36730i			0.203405i	−0.994815	+	0.101703i	$0.967571\pi$
$462$	−0.111123	+	0.193554i	−0.00516990	+	0.00900495i
$463$	−23.4884			−1.09160			−0.545800	−	0.837915i	$-0.683774\pi$
$463$	−23.4884			−1.09160			−0.545800	+	0.837915i	$0.683774\pi$
$464$	8.05122	+	24.7791i	0.373769	+	1.15034i
$465$	0.701838	+	0.509915i	0.0325470	+	0.0236468i
$466$	0.795661	+	1.09513i	0.0368583	+	0.0507311i
$467$	−4.92066	+	15.1442i	−0.227701	+	0.700791i	0.770305	+	0.637675i	$0.220104\pi$
$467$	−4.92066	+	15.1442i	−0.227701	+	0.700791i	−0.998006	+	0.0631160i	$0.979896\pi$
$468$	1.08004	−	3.32401i	0.0499247	−	0.153652i
$469$	6.69370	−	4.86326i	0.309086	−	0.224564i
$470$	−0.219538	−	0.159504i	−0.0101265	−	0.00735735i
$471$	−12.5514	+	4.07820i	−0.578338	+	0.187913i
$472$			2.24121i			0.103160i
$473$	−17.9043	+	16.2000i	−0.823242	+	0.744877i
$474$			0.359848i			0.0165284i
$475$	−2.20634	−	21.3972i	−0.101234	−	0.981773i
$476$	−1.10055	−	0.799595i	−0.0504436	−	0.0366494i
$477$	−0.372132	−	0.512196i	−0.0170388	−	0.0234519i
$478$	−0.863058	−	0.280425i	−0.0394754	−	0.0128263i
$479$	−14.2966	−	4.64526i	−0.653230	−	0.212247i	−0.0363922	−	0.999338i	$-0.511587\pi$
$479$	−14.2966	−	4.64526i	−0.653230	−	0.212247i	−0.616838	+	0.787090i	$0.711587\pi$
$480$	1.34824	+	1.85570i	0.0615385	+	0.0847005i
$481$	−9.17893	+	12.6337i	−0.418523	+	0.576048i
$482$	0.0388882	+	0.119685i	0.00177131	+	0.00545152i
$483$	5.41384			0.246338
$484$	11.0719	+	18.9638i	0.503267	+	0.861992i
$485$			53.8479i			2.44511i
$486$	0.0578180	−	0.0187862i	0.00262268	−	0.000852160i
$487$	−8.77289	+	12.0748i	−0.397538	+	0.547164i	−0.960124	−	0.279575i	$-0.909806\pi$
$487$	−8.77289	+	12.0748i	−0.397538	+	0.547164i	0.562586	+	0.826739i	$0.309806\pi$
$488$	−1.02292	−	1.40793i	−0.0463055	−	0.0637340i
$489$	7.69831	+	2.50133i	0.348130	+	0.113114i
$490$	−0.341944	+	1.05239i	−0.0154474	+	0.0475423i
$491$	−4.03155	−	5.54895i	−0.181941	−	0.250420i	0.708298	−	0.705913i	$-0.249463\pi$
$491$	−4.03155	−	5.54895i	−0.181941	−	0.250420i	−0.890240	+	0.455493i	$0.849463\pi$
$492$	−13.0480	+	17.9590i	−0.588247	+	0.809653i
$493$	−3.83488	+	1.24603i	−0.172714	+	0.0561183i
$494$	0.453612	+	0.0973525i	0.0204090	+	0.00438010i
$495$	−7.01386	−	7.75175i	−0.315249	−	0.348415i
$496$			1.09483i			0.0491591i
$497$	−2.39480	−	7.37044i	−0.107421	−	0.330609i
$498$	−0.518000	−	0.376349i	−0.0232121	−	0.0168646i
$499$	10.7460	−	7.80742i	0.481057	−	0.349508i	−0.320678	−	0.947188i	$-0.603911\pi$
$499$	10.7460	−	7.80742i	0.481057	−	0.349508i	0.801735	+	0.597680i	$0.203911\pi$
$500$	0.126597	−	0.389624i	0.00566157	−	0.0174245i
$501$	5.90639	+	1.91910i	0.263878	+	0.0857391i
$502$	0.00817455	−	0.00593916i	0.000364848	−	0.000265078i
$503$	1.15484	−	1.58950i	0.0514918	−	0.0708724i	−0.782495	−	0.622657i	$-0.786053\pi$
$503$	1.15484	−	1.58950i	0.0514918	−	0.0708724i	0.833986	+	0.551785i	$0.186053\pi$
$504$	0.255760	−	0.0831016i	0.0113925	−	0.00370164i
$505$			1.23282i			0.0548597i
$506$	−0.491005	+	0.855234i	−0.0218279	+	0.0380198i
$507$		−	9.93480i		−	0.441220i
$508$	−12.6559	−	38.9508i	−0.561513	−	1.72816i
$509$	−9.72488	+	13.3852i	−0.431048	+	0.593286i	−0.968193	−	0.250203i	$-0.919503\pi$
$509$	−9.72488	+	13.3852i	−0.431048	+	0.593286i	0.537146	+	0.843490i	$0.319503\pi$
$510$	−0.0954355	+	0.0693379i	−0.00422595	+	0.00307033i
$511$	0.334434	−	1.02928i	0.0147945	−	0.0455327i
$512$	−1.49181	+	4.59132i	−0.0659293	+	0.202910i
$513$	−1.76508	−	3.98554i	−0.0779301	−	0.175966i
$514$	−0.885058	+	1.21818i	−0.0390382	+	0.0537315i
$515$	29.9324	−	9.72562i	1.31898	−	0.428562i
$516$	14.5334			0.639796
$517$	0.502296	+	4.66995i	0.0220910	+	0.205384i
$518$	−0.600223			−0.0263723
$519$	−13.3535	+	4.33882i	−0.586154	+	0.190453i
$520$	−1.08464	−	0.788034i	−0.0475644	−	0.0345576i
$521$	19.1161	+	26.3110i	0.837491	+	1.15271i	0.986482	+	0.163869i	$0.0523973\pi$
$521$	19.1161	+	26.3110i	0.837491	+	1.15271i	−0.148992	+	0.988838i	$0.547603\pi$
$522$	0.123047	−	0.378700i	0.00538563	−	0.0165753i
$523$	−5.50716	+	16.9493i	−0.240811	+	0.741141i	0.755486	+	0.655165i	$0.227401\pi$
$523$	−5.50716	+	16.9493i	−0.240811	+	0.741141i	−0.996297	+	0.0859762i	$0.972599\pi$
$524$	25.1047	+	34.5536i	1.09670	+	1.50948i
$525$	4.41923	+	3.21076i	0.192871	+	0.140129i
$526$	0.678539	−	0.220471i	0.0295857	−	0.00961298i
$527$	−0.169438			−0.00738084
$528$	2.71164	−	12.9113i	0.118009	−	0.561893i
$529$	0.921494			0.0400649
$530$	−0.115378	+	0.0374886i	−0.00501171	+	0.00162840i
$531$	−5.42232	+	7.46318i	−0.235309	+	0.323875i
$532$	−3.90033	−	8.80694i	−0.169101	−	0.381829i
$533$	6.01601	−	18.5154i	0.260582	−	0.801990i
$534$	−0.290029	+	0.892618i	−0.0125508	+	0.0386273i
$535$	10.5506	−	7.66549i	0.456144	−	0.331408i
$536$	1.06741	−	1.46916i	0.0461051	−	0.0634583i
$537$	5.32030	+	16.3742i	0.229588	+	0.706598i
$538$		−	0.670730i		−	0.0289172i
$539$	17.4779	−	7.83256i	0.752826	−	0.337372i
$540$			6.29228i			0.270777i
$541$	−29.5592	+	9.60437i	−1.27085	+	0.412924i	−0.865348	−	0.501171i	$-0.832903\pi$
$541$	−29.5592	+	9.60437i	−1.27085	+	0.412924i	−0.405501	+	0.914095i	$0.632903\pi$
$542$	−0.163892	+	0.225578i	−0.00703977	+	0.00968942i
$543$	0.771603	−	0.560602i	0.0331126	−	0.0240577i
$544$	−0.426076	−	0.138441i	−0.0182679	−	0.00593559i
$545$	14.7178	−	45.2967i	0.630441	−	1.94030i
$546$	−0.0953137	+	0.0692494i	−0.00407905	+	0.00296360i
$547$	4.63262	+	3.36579i	0.198076	+	0.143911i	0.682403	−	0.730977i	$-0.260935\pi$
$547$	4.63262	+	3.36579i	0.198076	+	0.143911i	−0.484326	+	0.874888i	$0.660935\pi$
$548$	9.89575	+	30.4560i	0.422726	+	1.30102i
$549$		−	7.16322i		−	0.305719i
$550$	−0.908009	+	0.406916i	−0.0387176	+	0.0173510i
$551$	−27.9146	−	5.99091i	−1.18920	−	0.255222i
$552$	1.13010	−	0.367191i	0.0481002	−	0.0156287i
$553$	−3.85117	+	5.30068i	−0.163768	+	0.225408i
$554$	0.643713	+	0.885994i	0.0273487	+	0.0376423i
$555$	8.68776	−	26.7382i	0.368775	−	1.13497i
$556$	9.72550	+	3.16001i	0.412453	+	0.134014i
$557$	−4.40950	−	6.06916i	−0.186837	−	0.257159i	0.705316	−	0.708893i	$-0.250805\pi$
$557$	−4.40950	−	6.06916i	−0.186837	−	0.257159i	−0.892152	+	0.451735i	$0.850805\pi$
$558$	0.00983498	−	0.0135367i	0.000416348	−	0.000573054i
$559$	−12.1220	+	3.93869i	−0.512707	+	0.166589i
$560$			13.8784i			0.586470i
$561$	1.99819	+	0.419661i	0.0843637	+	0.0177181i
$562$	1.17098			0.0493949
$563$	4.99202	+	15.3639i	0.210389	+	0.647510i	0.999449	+	0.0331939i	$0.0105679\pi$
$563$	4.99202	+	15.3639i	0.210389	+	0.647510i	−0.789060	+	0.614316i	$0.789432\pi$
$564$	1.66172	−	2.28717i	0.0699712	−	0.0963071i
$565$	1.01231	+	1.39333i	0.0425883	+	0.0586178i
$566$	−1.40476	−	0.456434i	−0.0590465	−	0.0191854i
$567$	1.05273	+	0.342053i	0.0442106	+	0.0143649i
$568$	−0.999792	−	1.37610i	−0.0419504	−	0.0577397i
$569$	−4.38301	−	3.18444i	−0.183745	−	0.133499i	0.492110	−	0.870533i	$-0.336226\pi$
$569$	−4.38301	−	3.18444i	−0.183745	−	0.133499i	−0.675855	+	0.737034i	$0.736226\pi$
$570$	−0.830843	+	0.0856708i	−0.0348002	+	0.00358836i
$571$			41.4658i			1.73529i	0.497183	+	0.867646i	$0.334368\pi$
$571$			41.4658i			1.73529i	−0.497183	+	0.867646i	$0.665632\pi$
$572$	1.23966	+	11.5254i	0.0518328	+	0.481899i
$573$		−	17.8828i		−	0.747065i
$574$	0.711659	−	0.231232i	0.0297041	−	0.00965144i
$575$	19.5267	+	14.1870i	0.814321	+	0.591639i
$576$	−6.40049	+	4.65023i	−0.266687	+	0.193759i
$577$	−2.27224	+	6.99322i	−0.0945944	+	0.291132i	−0.987148	−	0.159810i	$-0.948912\pi$
$577$	−2.27224	+	6.99322i	−0.0945944	+	0.291132i	0.892553	+	0.450942i	$0.148912\pi$
$578$	−0.312246	+	0.960994i	−0.0129877	+	0.0399721i
$579$	1.43023	+	1.96855i	0.0594384	+	0.0818100i
$580$	33.3425	+	24.2247i	1.38447	+	1.00588i
$581$	−3.60254	−	11.0875i	−0.149459	−	0.459986i
$582$	1.03859			0.0430509
$583$	1.82101	+	1.04548i	0.0754186	+	0.0432992i
$584$		−	0.237537i		−	0.00982937i
$585$	−1.70527	−	5.24828i	−0.0705042	−	0.216990i
$586$	−0.294098	−	0.213674i	−0.0121491	−	0.00882681i
$587$	−7.51603	+	5.46071i	−0.310220	+	0.225388i	−0.731991	−	0.681315i	$-0.761409\pi$
$587$	−7.51603	+	5.46071i	−0.310220	+	0.225388i	0.421771	+	0.906702i	$0.361409\pi$
$588$	−10.9639	−	3.56240i	−0.452145	−	0.146911i
$589$	−1.03779	−	0.601898i	−0.0427615	−	0.0248008i
$590$	1.03902	+	1.43009i	0.0427758	+	0.0588758i
$591$	−2.67410	−	1.94285i	−0.109998	−	0.0799181i
$592$	33.7441	−	10.9641i	1.38687	−	0.450622i
$593$			14.4170i			0.592033i	0.955183	+	0.296017i	$0.0956584\pi$
$593$			14.4170i			0.592033i	−0.955183	+	0.296017i	$0.904342\pi$
$594$	−0.149512	+	0.135280i	−0.00613454	+	0.00555059i
$595$	−2.14786			−0.0880538
$596$	−26.2355	+	8.52444i	−1.07465	+	0.349175i
$597$	−1.16770	+	1.60721i	−0.0477909	+	0.0657786i
$598$	−0.421151	+	0.305984i	−0.0172222	+	0.0125126i
$599$	21.6540	+	7.03581i	0.884758	+	0.287475i	0.715932	−	0.698170i	$-0.246002\pi$
$599$	21.6540	+	7.03581i	0.884758	+	0.287475i	0.168827	+	0.985646i	$0.446002\pi$
$600$	1.14025	+	0.370489i	0.0465505	+	0.0151252i
$601$	10.9510	−	7.95637i	0.446701	−	0.324547i	−0.341591	−	0.939849i	$-0.610966\pi$
$601$	10.9510	−	7.95637i	0.446701	−	0.324547i	0.788292	+	0.615302i	$0.210966\pi$
$602$	−0.396338	−	0.287957i	−0.0161535	−	0.0117362i
$603$	7.10892	−	2.30983i	0.289498	−	0.0940635i
$604$	−26.7471			−1.08832
$605$	31.7422	+	13.9483i	1.29050	+	0.567078i
$606$	0.0237780			0.000965914
$607$	9.06102	+	27.8869i	0.367775	+	1.13190i	0.948225	+	0.317600i	$0.102877\pi$
$607$	9.06102	+	27.8869i	0.367775	+	1.13190i	−0.580450	+	0.814296i	$0.697123\pi$
$608$	−2.11789	−	2.36149i	−0.0858917	−	0.0957711i
$609$	5.86545	−	4.26150i	0.237680	−	0.172685i
$610$	−1.30543	−	0.424159i	−0.0528553	−	0.0171737i
$611$	−0.766169	+	2.35803i	−0.0309959	+	0.0953956i
$612$	−0.722369	−	0.994255i	−0.0292000	−	0.0401904i
$613$	−1.82546	+	2.51253i	−0.0737297	+	0.101480i	−0.844289	−	0.535888i	$-0.819977\pi$
$613$	−1.82546	+	2.51253i	−0.0737297	+	0.101480i	0.770559	+	0.637368i	$0.219977\pi$
$614$	−0.162556	−	0.500295i	−0.00656021	−	0.0201903i
$615$			35.0492i			1.41332i
$616$	−0.661371	+	0.598415i	−0.0266474	+	0.0241108i
$617$	−17.3221			−0.697361			−0.348681	−	0.937242i	$-0.613370\pi$
$617$	−17.3221			−0.697361			−0.348681	+	0.937242i	$0.613370\pi$
$618$	−0.187583	−	0.577320i	−0.00754568	−	0.0232232i
$619$	−26.7422	−	19.4293i	−1.07486	−	0.780930i	−0.0980788	−	0.995179i	$-0.531270\pi$
$619$	−26.7422	−	19.4293i	−1.07486	−	0.780930i	−0.976779	+	0.214249i	$0.931270\pi$
$620$	1.01795	+	1.40108i	0.0408817	+	0.0562688i
$621$	4.65158	+	1.51139i	0.186661	+	0.0606500i
$622$	−0.170055	+	0.523375i	−0.00681857	+	0.0209854i
$623$	−13.8252	+	10.0446i	−0.553895	+	0.402428i
$624$	4.09350	−	5.63422i	0.163871	−	0.225549i
$625$	−7.82471	−	24.0820i	−0.312988	−	0.963279i
$626$	1.68073			0.0671756
$627$	10.7479	+	9.66859i	0.429232	+	0.386126i
$628$	−26.3459			−1.05131
$629$	1.69684	+	5.22233i	0.0676573	+	0.208228i
$630$	0.124672	−	0.171596i	0.00496705	−	0.00683656i
$631$	−16.7974	+	12.2040i	−0.668695	+	0.485835i	−0.869588	−	0.493778i	$-0.835616\pi$
$631$	−16.7974	+	12.2040i	−0.668695	+	0.485835i	0.200893	+	0.979613i	$0.435616\pi$
$632$	−0.444386	+	1.36768i	−0.0176767	+	0.0544034i
$633$	−12.6086	−	4.09679i	−0.501147	−	0.162833i
$634$	−0.611453	−	0.841593i	−0.0242839	−	0.0334239i
$635$	−52.3145	−	38.0087i	−2.07604	−	1.50833i
$636$	−0.390560	−	1.20202i	−0.0154867	−	0.0476632i
$637$	10.1103			0.400583
$638$	0.141233	+	1.31307i	0.00559147	+	0.0519849i
$639$		−	7.00125i		−	0.276965i
$640$	1.88609	+	5.80479i	0.0745542	+	0.229454i
$641$	20.0162	−	27.5499i	0.790591	−	1.08816i	−0.203443	−	0.979087i	$-0.565213\pi$
$641$	20.0162	−	27.5499i	0.790591	−	1.08816i	0.994034	−	0.109069i	$-0.0347868\pi$
$642$	−0.147848	−	0.203495i	−0.00583510	−	0.00803132i
$643$	−6.79991	+	20.9280i	−0.268162	+	0.825319i	0.722786	+	0.691072i	$0.242861\pi$
$643$	−6.79991	+	20.9280i	−0.268162	+	0.825319i	−0.990948	+	0.134247i	$0.957139\pi$
$644$	10.2787	+	3.33976i	0.405038	+	0.131605i
$645$	18.5643	−	13.4878i	0.730969	−	0.531080i
$646$	0.121448	−	0.108920i	0.00477830	−	0.00428539i
$647$	−4.06010	−	12.4957i	−0.159619	−	0.491257i	0.838980	−	0.544162i	$-0.183152\pi$
$647$	−4.06010	−	12.4957i	−0.159619	−	0.491257i	−0.998600	+	0.0529043i	$0.983152\pi$
$648$	0.242949			0.00954395
$649$	6.28857	−	29.9426i	0.246848	−	1.17535i
$650$	−0.525247			−0.0206019
$651$	0.289745	−	0.0941438i	0.0113560	−	0.00368979i
$652$	13.0729	+	9.49805i	0.511976	+	0.371972i
$653$	−12.2371	+	8.89075i	−0.478874	+	0.347922i	−0.800889	−	0.598812i	$-0.795640\pi$
$653$	−12.2371	+	8.89075i	−0.478874	+	0.347922i	0.322016	+	0.946734i	$0.395640\pi$
$654$	−0.873659	−	0.283869i	−0.0341628	−	0.0111002i
$655$	64.1352	+	20.8388i	2.50597	+	0.814239i
$656$	−35.7851	+	25.9994i	−1.39717	+	1.01511i
$657$	0.574692	−	0.790996i	0.0224209	−	0.0308597i
$658$	−0.0906334	+	0.0294486i	−0.00353326	+	0.00114802i
$659$	−3.98833			−0.155363			−0.0776817	−	0.996978i	$-0.524752\pi$
$659$	−3.98833			−0.155363			−0.0776817	+	0.996978i	$0.524752\pi$
$660$	−8.53450	−	19.0442i	−0.332205	−	0.741296i
$661$			26.7784i			1.04156i	0.853691	+	0.520780i	$0.174359\pi$
$661$			26.7784i			1.04156i	−0.853691	+	0.520780i	$0.825641\pi$
$662$	−0.234339	+	0.0761413i	−0.00910784	+	0.00295932i
$663$	0.871967	+	0.633521i	0.0338644	+	0.0246039i
$664$	−1.50400	−	2.07009i	−0.0583667	−	0.0803349i
$665$	−13.1554	−	7.62989i	−0.510146	−	0.295874i
$666$	−0.515712	−	0.167565i	−0.0199834	−	0.00649301i
$667$	25.9170	−	18.8298i	1.00351	−	0.729092i
$668$	10.0300	+	7.28720i	0.388071	+	0.281950i
$669$	−3.84014	−	11.8187i	−0.148468	−	0.456939i
$670$		−	1.43231i		−	0.0553348i
$671$	9.71579	+	21.6802i	0.375074	+	0.836956i
$672$	0.805525			0.0310738
$673$	10.6598	+	32.8075i	0.410906	+	1.26464i	0.915862	+	0.401493i	$0.131509\pi$
$673$	10.6598	+	32.8075i	0.410906	+	1.26464i	−0.504957	+	0.863145i	$0.668491\pi$
$674$	0.775069	+	0.563120i	0.0298545	+	0.0216906i
$675$	2.90066	+	3.99241i	0.111646	+	0.153668i
$676$	6.12870	−	18.8622i	0.235719	−	0.725469i
$677$	8.80289	−	27.0925i	0.338323	−	1.04125i	−0.626739	−	0.779229i	$-0.715611\pi$
$677$	8.80289	−	27.0925i	0.338323	−	1.04125i	0.965062	−	0.262021i	$-0.0843891\pi$
$678$	0.0268738	−	0.0195250i	0.00103208	−	0.000749852i
$679$	15.2987	+	11.1152i	0.587112	+	0.426562i
$680$	−0.448350	+	0.145678i	−0.0171934	+	0.00558648i
$681$			5.50932i			0.211117i
$682$	−0.0114062	+	0.0543098i	−0.000436765	+	0.00207963i
$683$			0.738941i			0.0282748i	0.999900	+	0.0141374i	$0.00450022\pi$
$683$			0.738941i			0.0282748i	−0.999900	+	0.0141374i	$0.995500\pi$
$684$	−0.892526	−	8.65579i	−0.0341266	−	0.330963i
$685$	40.9052	+	29.7194i	1.56291	+	1.13552i
$686$	0.505289	+	0.695470i	0.0192920	+	0.0265532i
$687$	14.8872	+	4.83713i	0.567980	+	0.184548i
$688$	27.5419	+	8.94889i	1.05002	+	0.341173i
$689$	0.651518	+	0.896738i	0.0248209	+	0.0341630i
$690$	0.550873	−	0.758212i	0.0209714	−	0.0288646i
$691$	−6.66287	−	20.5062i	−0.253468	−	0.780093i	−0.994128	−	0.108213i	$-0.965487\pi$
$691$	−6.66287	−	20.5062i	−0.253468	−	0.780093i	0.740660	−	0.671880i	$-0.234513\pi$
$692$	−28.0295			−1.06552
$693$	−3.65014	+	0.392607i	−0.138657	+	0.0149139i
$694$		−	0.0562089i		−	0.00213366i
$695$	15.3556	−	4.98934i	0.582471	−	0.189256i
$696$	0.935334	−	1.28738i	0.0354537	−	0.0487979i
$697$	−4.02373	−	5.53819i	−0.152410	−	0.209774i
$698$	−1.15509	−	0.375311i	−0.0437207	−	0.0142057i
$699$	−6.88073	+	21.1767i	−0.260253	+	0.800977i
$700$	6.40965	+	8.82213i	0.242262	+	0.333445i
$701$	−22.4184	+	30.8563i	−0.846733	+	1.16543i	0.137841	+	0.990454i	$0.455984\pi$
$701$	−22.4184	+	30.8563i	−0.846733	+	1.16543i	−0.984573	+	0.174973i	$0.944016\pi$
$702$	−0.101226	+	0.0328904i	−0.00382053	+	0.00124137i
$703$	−8.15840	+	38.0139i	−0.307700	+	1.43372i
$704$	13.0644	−	22.7557i	0.492384	−	0.857636i
$705$		−	4.46370i		−	0.168113i
$706$	0.0248367	+	0.0764396i	0.000934742	+	0.00287684i
$707$	0.350257	+	0.254476i	0.0131728	+	0.00957057i
$708$	−14.8988	+	10.8246i	−0.559931	+	0.406813i
$709$	12.2882	−	37.8193i	0.461495	−	1.42033i	−0.401844	−	0.915708i	$-0.631630\pi$
$709$	12.2882	−	37.8193i	0.461495	−	1.42033i	0.863338	−	0.504626i	$-0.168370\pi$
$710$	−1.27591	−	0.414569i	−0.0478841	−	0.0155585i
$711$	−4.78873	+	3.47922i	−0.179591	+	0.130481i
$712$	−2.20463	+	3.03442i	−0.0826221	+	0.113720i
$713$	1.28026	−	0.415982i	0.0479461	−	0.0155786i
$714$			0.0414269i			0.00155036i
$715$	12.2797	+	13.5715i	0.459233	+	0.507547i
$716$			34.3700i			1.28447i
$717$	−4.61274	−	14.1966i	−0.172266	−	0.530180i
$718$	−0.211260	+	0.290774i	−0.00788415	+	0.0108516i
$719$	−1.62217	+	1.17858i	−0.0604968	+	0.0439535i	−0.617623	−	0.786475i	$-0.711904\pi$
$719$	−1.62217	+	1.17858i	−0.0604968	+	0.0439535i	0.557126	+	0.830428i	$0.311904\pi$
$720$	−3.87446	+	11.9244i	−0.144393	+	0.444395i
$721$	3.41544	−	10.5117i	0.127198	−	0.391475i
$722$	1.13077	−	0.235701i	0.0420830	−	0.00877189i
$723$	−1.21674	+	1.67469i	−0.0452509	+	0.0622826i
$724$	1.81079	−	0.588363i	0.0672976	−	0.0218663i
$725$	32.3229			1.20044
$726$	0.269027	−	0.612227i	0.00998453	−	0.0227219i
$727$	7.80563			0.289495			0.144747	−	0.989469i	$-0.453763\pi$
$727$	7.80563			0.289495			0.144747	+	0.989469i	$0.453763\pi$
$728$	−0.447778	+	0.145492i	−0.0165957	+	0.00539228i
$729$	0.809017	+	0.587785i	0.0299636	+	0.0217698i
$730$	−0.110122	−	0.151570i	−0.00407580	−	0.00560985i
$731$	−1.38495	+	4.26245i	−0.0512244	+	0.157653i
$732$	4.41893	−	13.6001i	0.163328	−	0.502673i
$733$	−29.1096	−	40.0659i	−1.07519	−	1.47987i	−0.864711	−	0.502270i	$-0.832498\pi$
$733$	−29.1096	−	40.0659i	−1.07519	−	1.47987i	−0.210477	−	0.977599i	$-0.567502\pi$
$734$	−1.30688	−	0.949504i	−0.0482378	−	0.0350468i
$735$	−17.3110	+	5.62468i	−0.638525	+	0.207469i
$736$	3.55928			0.131197
$737$	−18.3830	+	16.6331i	−0.677145	+	0.612687i
$738$	0.676012			0.0248843
$739$	7.13188	−	2.31729i	0.262350	−	0.0852428i	−0.174888	−	0.984588i	$-0.555956\pi$
$739$	7.13188	−	2.31729i	0.262350	−	0.0852428i	0.437239	+	0.899345i	$0.355956\pi$
$740$	32.9891	−	45.4057i	1.21271	−	1.66915i
$741$	3.09024	+	6.97776i	0.113523	+	0.256334i
$742$	−0.0131653	+	0.0405185i	−0.000483312	+	0.00148748i
$743$	15.2646	−	46.9796i	0.560003	−	1.72351i	−0.122347	−	0.992487i	$-0.539042\pi$
$743$	15.2646	−	46.9796i	0.560003	−	1.72351i	0.682350	−	0.731025i	$-0.260958\pi$
$744$	0.0540967	−	0.0393036i	0.00198328	−	0.00144094i
$745$	−25.6010	+	35.2368i	−0.937949	+	1.29098i
$746$	0.618501	+	1.90355i	0.0226449	+	0.0696939i
$747$		−	10.5321i		−	0.385349i
$748$	3.53488	+	2.02944i	0.129248	+	0.0742035i
$749$		−	4.57985i		−	0.167344i
$750$	−0.0118652	+	0.00385525i	−0.000433257	+	0.000140774i
$751$	−18.3674	+	25.2806i	−0.670237	+	0.922503i	−0.999766	−	0.0216429i	$-0.993110\pi$
$751$	−18.3674	+	25.2806i	−0.670237	+	0.922503i	0.329528	+	0.944146i	$0.393110\pi$
$752$	4.55741	−	3.31115i	0.166192	−	0.120745i
$753$	0.158072	+	0.0513608i	0.00576047	+	0.00187169i
$754$	−0.215427	+	0.663017i	−0.00784540	+	0.0241457i
$755$	−34.1656	+	24.8228i	−1.24341	+	0.903393i
$756$	1.78770	+	1.29884i	0.0650182	+	0.0472385i
$757$	−11.2971	−	34.7689i	−0.410600	−	1.26370i	−0.916128	−	0.400886i	$-0.868702\pi$
$757$	−11.2971	−	34.7689i	−0.410600	−	1.26370i	0.505528	−	0.862810i	$-0.331298\pi$
$758$			1.47136i			0.0534420i
$759$	−16.1285	+	1.73477i	−0.585426	+	0.0629680i
$760$	−3.26359	−	0.700419i	−0.118383	−	0.0254069i
$761$	−43.9939	+	14.2945i	−1.59478	+	0.518175i	−0.965809	−	0.259255i	$-0.916523\pi$
$761$	−43.9939	+	14.2945i	−1.59478	+	0.518175i	−0.628969	+	0.777430i	$0.716523\pi$
$762$	−0.733092	+	1.00901i	−0.0265571	+	0.0365528i
$763$	−9.83125	−	13.5315i	−0.355915	−	0.489875i
$764$	11.0318	−	33.9522i	0.399115	−	1.22835i
$765$	−1.84545	−	0.599622i	−0.0667223	−	0.0216794i
$766$	−1.18156	−	1.62628i	−0.0426917	−	0.0587600i
$767$	9.49324	−	13.0663i	0.342781	−	0.471797i
$768$	−14.9365	+	4.85316i	−0.538974	+	0.175123i
$769$		−	33.4462i		−	1.20610i	−0.797703	−	0.603050i	$-0.793952\pi$
$769$		−	33.4462i		−	1.20610i	0.797703	−	0.603050i	$-0.206048\pi$
$770$	−0.144589	+	0.688452i	−0.00521063	+	0.0248101i
$771$	−24.7683			−0.892008
$772$	1.50106	+	4.61978i	0.0540242	+	0.166269i
$773$	10.3289	−	14.2165i	0.371505	−	0.511332i	−0.581804	−	0.813329i	$-0.697653\pi$
$773$	10.3289	−	14.2165i	0.371505	−	0.511332i	0.953309	+	0.301997i	$0.0976531\pi$
$774$	−0.260145	−	0.358059i	−0.00935072	−	0.0128702i
$775$	1.29176	+	0.419718i	0.0464014	+	0.0150767i
$776$	3.94738	+	1.28258i	0.141703	+	0.0460420i
$777$	−5.80329	−	7.98754i	−0.208192	−	0.286551i
$778$	−1.23873	−	0.899989i	−0.0444106	−	0.0322662i
$779$	−4.97155	−	48.2145i	−0.178124	−	1.72746i
$780$		−	11.0163i		−	0.394448i
$781$	9.49611	+	21.1900i	0.339797	+	0.758238i
$782$			0.183048i			0.00654578i
$783$	6.22929	−	2.02402i	0.222617	−	0.0723325i
$784$	−18.5840	−	13.5020i	−0.663713	−	0.482216i
$785$	−33.6531	+	24.4504i	−1.20113	+	0.872672i
$786$	0.401928	−	1.23701i	0.0143363	−	0.0441226i
$787$	−14.3962	+	44.3069i	−0.513169	+	1.57937i	0.273421	+	0.961894i	$0.411845\pi$
$787$	−14.3962	+	44.3069i	−0.513169	+	1.57937i	−0.786590	+	0.617476i	$0.788155\pi$
$788$	−3.87852	−	5.33832i	−0.138166	−	0.190170i
$789$	9.49443	+	6.89811i	0.338011	+	0.245579i
$790$	0.350496	+	1.07872i	0.0124701	+	0.0383790i
$791$	0.604819			0.0215049
$792$	−0.735311	+	0.329523i	−0.0261281	+	0.0117091i
$793$			12.5411i			0.445349i
$794$	−0.107042	−	0.329443i	−0.00379879	−	0.0116915i
$795$	−1.61443	−	1.17295i	−0.0572578	−	0.0416002i
$796$	−3.20847	+	2.33109i	−0.113721	+	0.0826234i
$797$	−13.5011	−	4.38679i	−0.478235	−	0.155388i	0.0599730	−	0.998200i	$-0.480899\pi$
$797$	−13.5011	−	4.38679i	−0.478235	−	0.155388i	−0.538208	+	0.842812i	$0.680899\pi$
$798$	−0.147161	+	0.253735i	−0.00520945	+	0.00898213i
$799$	0.512443	+	0.705317i	0.0181289	+	0.0249523i
$800$	2.90538	+	2.11088i	0.102721	+	0.0746309i
$801$	−14.6828	+	4.77073i	−0.518791	+	0.168565i
$802$		−	0.866681i		−	0.0306036i
$803$	−0.666502	+	3.17351i	−0.0235204	+	0.111991i
$804$	14.9219			0.526255
$805$	16.2291	−	5.27314i	0.571999	−	0.185854i
$806$	−0.0172188	+	0.0236996i	−0.000606506	+	0.000834784i
$807$	8.92582	−	6.48499i	0.314204	−	0.228282i
$808$	0.0903732	+	0.0293640i	0.00317932	+	0.00103302i
$809$	−9.34137	−	3.03519i	−0.328425	−	0.106712i	0.140163	−	0.990128i	$-0.455237\pi$
$809$	−9.34137	−	3.03519i	−0.328425	−	0.106712i	−0.468588	+	0.883417i	$0.655237\pi$
$810$	0.155023	−	0.112631i	0.00544695	−	0.00395744i
$811$	13.3171	+	9.67542i	0.467626	+	0.339750i	0.796515	−	0.604619i	$-0.206674\pi$
$811$	13.3171	+	9.67542i	0.467626	+	0.339750i	−0.328890	+	0.944368i	$0.606674\pi$
$812$	13.7650	−	4.47252i	0.483057	−	0.156955i
$813$	−4.58651			−0.160856
$814$	1.78813	−	0.192330i	0.0626740	−	0.00674118i
$815$	25.5135			0.893700
$816$	−0.756734	−	2.32899i	−0.0264910	−	0.0815308i
$817$	−23.6243	+	21.1873i	−0.826509	+	0.741250i
$818$	−1.14685	+	0.833234i	−0.0400986	+	0.0291334i
$819$	−1.84309	−	0.598857i	−0.0644028	−	0.0209257i
$820$	−21.6216	+	66.5444i	−0.755059	+	2.32383i
$821$	−15.2113	−	20.9365i	−0.530877	−	0.730690i	0.456387	−	0.889782i	$-0.349143\pi$
$821$	−15.2113	−	20.9365i	−0.530877	−	0.730690i	−0.987264	+	0.159092i	$0.949143\pi$
$822$	0.573212	−	0.788959i	0.0199931	−	0.0275181i
$823$	6.46204	+	19.8881i	0.225252	+	0.693256i	0.998266	+	0.0588661i	$0.0187485\pi$
$823$	6.46204	+	19.8881i	0.225252	+	0.693256i	−0.773013	+	0.634390i	$0.781252\pi$
$824$		−	2.42588i		−	0.0845095i
$825$	−14.1942	−	8.14916i	−0.494179	−	0.283717i
$826$	0.620776			0.0215996
$827$	−8.96926	−	27.6046i	−0.311892	−	0.959905i	−0.977015	−	0.213171i	$-0.931621\pi$
$827$	−8.96926	−	27.6046i	−0.311892	−	0.959905i	0.665123	−	0.746734i	$-0.268379\pi$
$828$	7.89912	+	5.73904i	0.274513	+	0.199446i
$829$	−24.6964	−	33.9917i	−0.857742	−	1.18058i	−0.982103	−	0.188343i	$-0.939688\pi$
$829$	−24.6964	−	33.9917i	−0.857742	−	1.18058i	0.124361	−	0.992237i	$-0.460312\pi$
$830$	−1.91938	−	0.623643i	−0.0666225	−	0.0216470i
$831$	−5.56671	+	17.1326i	−0.193107	+	0.594322i
$832$	11.2058	−	8.14148i	0.388491	−	0.282255i
$833$	2.08961	−	2.87610i	0.0724008	−	0.0996511i
$834$	−0.0962318	−	0.296171i	−0.00333223	−	0.0102556i
$835$	19.5748			0.677414
$836$	14.4416	+	24.9871i	0.499472	+	0.864196i
$837$	0.275231			0.00951339
$838$	−0.615042	−	1.89291i	−0.0212463	−	0.0653893i
$839$	23.4114	−	32.2230i	0.808252	−	1.11246i	−0.183339	−	0.983050i	$-0.558691\pi$
$839$	23.4114	−	32.2230i	0.808252	−	1.11246i	0.991591	−	0.129413i	$-0.0413094\pi$
$840$	0.685751	−	0.498227i	0.0236606	−	0.0171905i
$841$	4.29556	−	13.2204i	0.148123	−	0.455874i
$842$	−0.269928	−	0.0877048i	−0.00930232	−	0.00302251i
$843$	11.3217	+	15.5830i	0.389940	+	0.536707i
$844$	−21.4114	−	15.5563i	−0.737011	−	0.535470i
$845$	−9.67661	−	29.7815i	−0.332886	−	1.02452i
$846$	−0.0860935			−0.00295996
$847$	10.5150	−	6.13912i	0.361301	−	0.210943i
$848$		−	2.51841i		−	0.0864824i
$849$	−7.50795	−	23.1071i	−0.257672	−	0.793033i
$850$	−0.108559	+	0.149419i	−0.00372355	+	0.00512503i
$851$	−25.6423	−	35.2936i	−0.879007	−	1.20985i
$852$	4.31901	−	13.2926i	0.147967	−	0.455396i
$853$	−28.3600	−	9.21471i	−0.971026	−	0.315506i	−0.219796	−	0.975546i	$-0.570539\pi$
$853$	−28.3600	−	9.21471i	−0.971026	−	0.315506i	−0.751230	+	0.660040i	$0.770539\pi$
$854$	−0.389973	+	0.283332i	−0.0133446	+	0.00969541i
$855$	−9.17313	−	10.2282i	−0.313714	−	0.349798i
$856$	−0.310626	−	0.956008i	−0.0106170	−	0.0326757i
$857$	−10.5495			−0.360364			−0.180182	−	0.983633i	$-0.557669\pi$
$857$	−10.5495			−0.360364			−0.180182	+	0.983633i	$0.557669\pi$
$858$	0.261761	−	0.236844i	0.00893636	−	0.00808570i
$859$	46.2420			1.57776			0.788879	−	0.614549i	$-0.210662\pi$
$859$	46.2420			1.57776			0.788879	+	0.614549i	$0.210662\pi$
$860$	43.5667	−	14.1557i	1.48561	−	0.482704i
$861$	9.95786	+	7.23481i	0.339363	+	0.246562i
$862$	1.22575	−	0.890561i	0.0417493	−	0.0303326i
$863$	−40.7691	−	13.2467i	−1.38780	−	0.450923i	−0.482573	−	0.875856i	$-0.660298\pi$
$863$	−40.7691	−	13.2467i	−1.38780	−	0.450923i	−0.905225	+	0.424933i	$0.860298\pi$
$864$	0.692108	+	0.224879i	0.0235460	+	0.00765055i
$865$	−35.8037	+	26.0129i	−1.21736	+	0.884466i
$866$	−0.0829726	+	0.114202i	−0.00281952	+	0.00388074i
$867$	−15.8075	+	5.13617i	−0.536852	+	0.174434i
$868$	0.608185			0.0206432
$869$	9.77457	−	17.0254i	0.331580	−	0.577546i
$870$		−	1.25508i		−	0.0425511i
$871$	−12.4461	+	4.04398i	−0.421720	+	0.137025i
$872$	−2.96997	−	2.15781i	−0.100576	−	0.0730726i
$873$	10.0417	+	13.8212i	0.339859	+	0.467775i
$874$	−0.650244	+	1.12115i	−0.0219948	+	0.0379235i
$875$	−0.216038	−	0.0701951i	−0.00730343	−	0.00237303i
$876$	1.57907	−	1.14726i	0.0533518	−	0.0387623i
$877$	15.4061	+	11.1932i	0.520225	+	0.377966i	0.816689	−	0.577078i	$-0.195807\pi$
$877$	15.4061	+	11.1932i	0.520225	+	0.377966i	−0.296463	+	0.955044i	$0.595807\pi$
$878$	−0.293312	−	0.902722i	−0.00989880	−	0.0304654i
$879$		−	5.97966i		−	0.201689i
$880$	−4.44709	−	41.3454i	−0.149911	−	1.39375i
$881$	38.0983			1.28356			0.641782	−	0.766887i	$-0.278195\pi$
$881$	38.0983			1.28356			0.641782	+	0.766887i	$0.278195\pi$
$882$	0.108486	+	0.333885i	0.00365291	+	0.0112425i
$883$	14.0347	+	10.1968i	0.472305	+	0.343150i	0.798339	−	0.602208i	$-0.205712\pi$
$883$	14.0347	+	10.1968i	0.472305	+	0.343150i	−0.326034	+	0.945358i	$0.605712\pi$
$884$	1.26470	+	1.74071i	0.0425365	+	0.0585465i
$885$	−8.98525	+	27.6538i	−0.302036	+	0.929571i
$886$	−0.330111	+	1.01598i	−0.0110903	+	0.0341324i
$887$	30.7876	−	22.3685i	1.03375	−	0.751060i	0.0646908	−	0.997905i	$-0.479394\pi$
$887$	30.7876	−	22.3685i	1.03375	−	0.751060i	0.969055	+	0.246845i	$0.0793939\pi$
$888$	−1.75314	−	1.27373i	−0.0588316	−	0.0427437i
$889$	−21.5974	+	7.01741i	−0.724352	+	0.235356i
$890$			2.95829i			0.0991621i
$891$	−3.24581	−	0.681687i	−0.108739	−	0.0228374i
$892$		−	24.8080i		−	0.830632i
$893$	0.633152	+	6.14036i	0.0211876	+	0.205479i
$894$	0.679629	+	0.493779i	0.0227302	+	0.0165144i
$895$	31.8973	+	43.9028i	1.06621	+	1.46751i
$896$	2.03852	+	0.662357i	0.0681023	+	0.0221278i
$897$	−8.14385	−	2.64610i	−0.271915	−	0.0883506i
$898$	0.810235	+	1.11519i	0.0270379	+	0.0372145i
$899$	1.05962	−	1.45844i	0.0353402	−	0.0486416i
$900$	3.04430	+	9.36938i	0.101477	+	0.312313i
$901$	0.389755			0.0129846
$902$	−2.04602	+	0.916904i	−0.0681250	+	0.0305296i
$903$		−	8.05844i		−	0.268168i
$904$	0.126251	−	0.0410216i	0.00419906	−	0.00136436i
$905$	1.76700	−	2.43207i	0.0587370	−	0.0808446i
$906$	0.478769	+	0.658968i	0.0159060	+	0.0218928i
$907$	46.0016	+	14.9468i	1.52746	+	0.496302i	0.947884	−	0.318617i	$-0.103218\pi$
$907$	46.0016	+	14.9468i	1.52746	+	0.496302i	0.579576	+	0.814918i	$0.303218\pi$
$908$	−3.39865	+	10.4600i	−0.112788	+	0.347127i
$909$	0.229899	+	0.316428i	0.00762525	+	0.0104953i
$910$	−0.218272	+	0.300426i	−0.00723564	+	0.00995901i
$911$	7.39530	−	2.40288i	0.245017	−	0.0796109i	−0.183934	−	0.982939i	$-0.558883\pi$
$911$	7.39530	−	2.40288i	0.245017	−	0.0796109i	0.428951	+	0.903328i	$0.358883\pi$
$912$	3.63838	−	16.9530i	0.120479	−	0.561369i
$913$	14.2852	+	31.8765i	0.472770	+	1.05496i
$914$			1.01012i			0.0334118i
$915$	−6.97705	−	21.4732i	−0.230654	−	0.709881i
$916$	25.2807	+	18.3675i	0.835299	+	0.606880i
$917$	19.1592	−	13.9200i	0.632693	−	0.459679i
$918$	−0.0115652	+	0.0355940i	−0.000381708	+	0.00117478i
$919$	−43.2767	−	14.0614i	−1.42757	−	0.463844i	−0.509568	−	0.860430i	$-0.670195\pi$
$919$	−43.2767	−	14.0614i	−1.42757	−	0.463844i	−0.917998	+	0.396586i	$0.870195\pi$
$920$	3.03004	−	2.20146i	0.0998976	−	0.0725799i
$921$	5.08606	−	7.00036i	0.167591	−	0.230670i
$922$	0.252509	−	0.0820451i	0.00831593	−	0.00270201i
$923$			12.2576i			0.403463i
$924$	−7.17235	−	1.50634i	−0.235953	−	0.0495550i
$925$		−	44.0171i		−	1.44727i
$926$	0.441259	+	1.35806i	0.0145007	+	0.0446285i
$927$	5.86911	−	8.07813i	0.192767	−	0.265321i
$928$	3.85618	−	2.80168i	0.126585	−	0.0919696i
$929$	6.45145	−	19.8555i	0.211665	−	0.651438i	−0.787708	−	0.616048i	$-0.788733\pi$
$929$	6.45145	−	19.8555i	0.211665	−	0.651438i	0.999374	−	0.0353900i	$-0.0112674\pi$
$930$	0.0162974	−	0.0501583i	0.000534413	−	0.00164476i
$931$	23.0155	−	10.1929i	0.754303	−	0.334058i
$932$	−26.1275	+	35.9614i	−0.855834	+	1.17795i
$933$	−8.60906	+	2.79725i	−0.281848	+	0.0915779i
$934$	0.968050			0.0316756
$935$	6.39873	−	0.688243i	0.209261	−	0.0225080i
$936$	−0.425348			−0.0139029
$937$	27.0164	−	8.77818i	0.882589	−	0.286771i	0.167557	−	0.985862i	$-0.446412\pi$
$937$	27.0164	−	8.77818i	0.882589	−	0.286771i	0.715032	+	0.699092i	$0.246412\pi$
$938$	−0.406933	−	0.295654i	−0.0132868	−	0.00965346i
$939$	16.2503	+	22.3666i	0.530307	+	0.729905i
$940$	2.75362	−	8.47477i	0.0898132	−	0.276417i
$941$	9.21008	−	28.3457i	0.300240	−	0.924044i	−0.681171	−	0.732125i	$-0.738529\pi$
$941$	9.21008	−	28.3457i	0.300240	−	0.924044i	0.981411	−	0.191919i	$-0.0614712\pi$
$942$	0.471587	+	0.649083i	0.0153651	+	0.0211483i
$943$	43.9996	+	31.9676i	1.43282	+	1.04101i
$944$	−34.8996	+	11.3396i	−1.13588	+	0.369071i
$945$	3.48894			0.113495
$946$	1.27301	+	0.730856i	0.0413890	+	0.0237622i
$947$	28.0179			0.910461			0.455230	−	0.890374i	$-0.349557\pi$
$947$	28.0179			0.910461			0.455230	+	0.890374i	$0.349557\pi$
$948$	−11.2382	+	3.65150i	−0.364999	+	0.118595i
$949$	−1.00615	+	1.38485i	−0.0326611	+	0.0449542i
$950$	−1.19570	+	0.529540i	−0.0387936	+	0.0171805i
$951$	5.28774	−	16.2740i	0.171467	−	0.527720i
$952$	−0.0511591	+	0.157452i	−0.00165808	+	0.00510303i
$953$	−33.6889	+	24.4764i	−1.09129	+	0.792870i	−0.979617	−	0.200875i	$-0.935622\pi$
$953$	−33.6889	+	24.4764i	−1.09129	+	0.792870i	−0.111675	+	0.993745i	$0.535622\pi$
$954$	−0.0226232	+	0.0311382i	−0.000732454	+	0.00100814i
$955$	−17.4180	−	53.6072i	−0.563635	−	1.73469i
$956$		−	29.7991i		−	0.963772i
$957$	−16.1083	+	14.5750i	−0.520708	+	0.471142i
$958$			0.913870i			0.0295258i
$959$	16.8872	−	5.48698i	0.545316	−	0.177184i
$960$	−14.6574	+	20.1741i	−0.473064	+	0.651117i
$961$	−25.0182	+	18.1768i	−0.807040	+	0.586349i
$962$	0.902894	+	0.293368i	0.0291105	+	0.00945856i
$963$	1.27856	−	3.93501i	0.0412011	−	0.126804i
$964$	−3.34320	+	2.42898i	−0.107677	+	0.0782321i
$965$	6.20479	+	4.50805i	0.199739	+	0.145119i
$966$	−0.101706	−	0.313018i	−0.00327232	−	0.0100712i
$967$		−	28.8593i		−	0.928053i	−0.885821	−	0.464027i	$-0.846404\pi$
$967$		−	28.8593i		−	0.928053i	0.885821	−	0.464027i	$-0.153596\pi$
$968$	1.77855	−	1.99467i	0.0571647	−	0.0641111i
$969$	2.62369	+	0.563085i	0.0842850	+	0.0180889i
$970$	3.11338	−	1.01160i	0.0999645	−	0.0324804i
$971$	−31.7310	+	43.6740i	−1.01830	+	1.40156i	−0.104905	+	0.994482i	$0.533454\pi$
$971$	−31.7310	+	43.6740i	−1.01830	+	1.40156i	−0.913391	+	0.407082i	$0.866546\pi$
$972$	1.17340	+	1.61504i	0.0376368	+	0.0518026i
$973$	1.75216	−	5.39258i	0.0561715	−	0.172878i
$974$	0.862954	+	0.280391i	0.0276508	+	0.00898430i
$975$	−5.07838	−	6.98980i	−0.162638	−	0.223853i
$976$	16.7484	−	23.0522i	0.536104	−	0.737884i
$977$	4.06060	−	1.31937i	0.129910	−	0.0422104i	−0.243340	−	0.969941i	$-0.578243\pi$
$977$	4.06060	−	1.31937i	0.129910	−	0.0422104i	0.373251	+	0.927731i	$0.378243\pi$
$978$		−	0.492092i		−	0.0157354i
$979$	37.9682	−	34.3540i	1.21347	−	1.09796i
$980$	−36.3364			−1.16072
$981$	−4.66940	−	14.3709i	−0.149082	−	0.458828i
$982$	−0.245092	+	0.337340i	−0.00782119	+	0.0107649i
$983$	19.9357	+	27.4392i	0.635852	+	0.875175i	0.998386	−	0.0567958i	$-0.0180884\pi$
$983$	19.9357	+	27.4392i	0.635852	+	0.875175i	−0.362534	+	0.931970i	$0.618088\pi$
$984$	2.56932	+	0.834824i	0.0819071	+	0.0266132i
$985$	−9.90850	−	3.21947i	−0.315711	−	0.102581i
$986$	0.144086	+	0.198317i	0.00458863	+	0.00631571i
$987$	−1.26818	−	0.921390i	−0.0403667	−	0.0293282i
$988$	1.56261	+	15.1543i	0.0497132	+	0.482123i
$989$		−	35.6069i		−	1.13223i
$990$	−0.316427	+	0.551154i	−0.0100567	+	0.0175168i
$991$		−	36.7479i		−	1.16734i	−0.811992	−	0.583668i	$-0.801617\pi$
$991$		−	36.7479i		−	1.16734i	0.811992	−	0.583668i	$-0.198383\pi$
$992$	0.190490	−	0.0618939i	0.00604805	−	0.00196513i
$993$	−3.27898	−	2.38232i	−0.104055	−	0.0756006i
$994$	−0.381155	+	0.276925i	−0.0120895	+	0.00878354i
$995$	−1.93499	+	5.95528i	−0.0613432	+	0.188795i
$996$	6.49717	−	19.9962i	0.205871	−	0.633605i
$997$	33.3955	+	45.9649i	1.05765	+	1.45572i	0.881988	+	0.471273i	$0.156205\pi$
$997$	33.3955	+	45.9649i	1.05765	+	1.45572i	0.175658	+	0.984451i	$0.443795\pi$
$998$	−0.653286	−	0.474640i	−0.0206794	−	0.0150245i
$999$	−2.75630	−	8.48302i	−0.0872055	−	0.268391i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	627.2.s.a.94.20	✓	160
11.2	odd	10	inner	627.2.s.a.607.21	yes	160
19.18	odd	2	inner	627.2.s.a.94.21	yes	160
209.189	even	10	inner	627.2.s.a.607.20	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
627.2.s.a.94.20	✓	160	1.1	even	1	trivial
627.2.s.a.94.21	yes	160	19.18	odd	2	inner
627.2.s.a.607.20	yes	160	209.189	even	10	inner
627.2.s.a.607.21	yes	160	11.2	odd	10	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 627 = 3 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	627.s (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0187862 - 0.0578180i) q^{2} +(0.587785 - 0.809017i) q^{3} +(1.61504 - 1.17340i) q^{4} +(0.974011 - 2.99770i) q^{5} +(-0.0578180 - 0.0187862i) q^{6} +(-0.650624 - 0.895507i) q^{7} +(-0.196550 - 0.142802i) q^{8} +(-0.309017 - 0.951057i) q^{9} -0.191619 q^{10} +(2.22523 + 2.45934i) q^{11} -1.99630i q^{12} +(0.541018 + 1.66508i) q^{13} +(-0.0395537 + 0.0544410i) q^{14} +(-1.85268 - 2.54999i) q^{15} +(1.22922 - 3.78315i) q^{16} +(0.585490 + 0.190237i) q^{17} +(-0.0491830 + 0.0357335i) q^{18} +(2.91029 + 3.24503i) q^{19} +(-1.94442 - 5.98432i) q^{20} -1.10691 q^{21} +(0.100390 - 0.174860i) q^{22} -4.89096 q^{23} +(-0.231058 + 0.0750755i) q^{24} +(-3.99241 - 2.90066i) q^{25} +(0.0861081 - 0.0625612i) q^{26} +(-0.951057 - 0.309017i) q^{27} +(-2.10157 - 0.682842i) q^{28} +(-5.29895 + 3.84991i) q^{29} +(-0.112631 + 0.155023i) q^{30} +(-0.261761 + 0.0850511i) q^{31} -0.727725 q^{32} +(3.29760 - 0.354688i) q^{33} -0.0374258i q^{34} +(-3.31818 + 1.07814i) q^{35} +(-1.61504 - 1.17340i) q^{36} +(5.24279 + 7.21609i) q^{37} +(0.132948 - 0.229229i) q^{38} +(1.66508 + 0.541018i) q^{39} +(-0.619519 + 0.450107i) q^{40} +(-8.99611 - 6.53606i) q^{41} +(0.0207946 + 0.0639992i) q^{42} +7.28014i q^{43} +(6.47963 + 1.36086i) q^{44} -3.15197 q^{45} +(0.0918827 + 0.282786i) q^{46} +(1.14570 + 0.832400i) q^{47} +(-2.33811 - 3.21814i) q^{48} +(1.78450 - 5.49212i) q^{49} +(-0.0927080 + 0.285326i) q^{50} +(0.498048 - 0.361853i) q^{51} +(2.82757 + 2.05435i) q^{52} +(0.602123 - 0.195642i) q^{53} +0.0607935i q^{54} +(9.53975 - 4.27515i) q^{55} +0.268922i q^{56} +(4.33591 - 0.447089i) q^{57} +(0.322142 + 0.234050i) q^{58} +(-5.42232 - 7.46318i) q^{59} +(-5.98432 - 1.94442i) q^{60} +(6.81262 + 2.21356i) q^{61} +(0.00983498 + 0.0135367i) q^{62} +(-0.650624 + 0.895507i) q^{63} +(-2.44477 - 7.52422i) q^{64} +5.51837 q^{65} +(-0.0824569 - 0.183998i) q^{66} +7.47476i q^{67} +(1.16882 - 0.379772i) q^{68} +(-2.87483 + 3.95687i) q^{69} +(0.124672 + 0.171596i) q^{70} +(6.65858 + 2.16351i) q^{71} +(-0.0750755 + 0.231058i) q^{72} +(0.574692 + 0.790996i) q^{73} +(0.318728 - 0.438691i) q^{74} +(-4.69336 + 1.52497i) q^{75} +(8.50796 + 1.82594i) q^{76} +(0.754565 - 3.59282i) q^{77} -0.106435i q^{78} +(-1.82913 - 5.62949i) q^{79} +(-10.1435 - 7.36966i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-0.208899 + 0.642925i) q^{82} +(10.0166 + 3.25460i) q^{83} +(-1.78770 + 1.29884i) q^{84} +(1.14055 - 1.56983i) q^{85} +(0.420924 - 0.136766i) q^{86} +6.54986i q^{87} +(-0.0861713 - 0.801151i) q^{88} -15.4384i q^{89} +(0.0592135 + 0.182241i) q^{90} +(1.13909 - 1.56783i) q^{91} +(-7.89912 + 5.73904i) q^{92} +(-0.0850511 + 0.261761i) q^{93} +(0.0266044 - 0.0818798i) q^{94} +(12.5623 - 5.56346i) q^{95} +(-0.427746 + 0.588742i) q^{96} +(-16.2477 + 5.27921i) q^{97} -0.351068 q^{98} +(1.65133 - 2.87630i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 40 q^{4} + 4 q^{5} - 10 q^{7} + 40 q^{9} + 10 q^{11} - 40 q^{16} - 50 q^{17} + 76 q^{20} + 16 q^{23} - 80 q^{25} - 68 q^{26} - 40 q^{35} + 40 q^{36} - 62 q^{38} + 8 q^{42} + 40 q^{44} - 4 q^{45}+ \cdots - 10 q^{99}+O(q^{100}) \) 160 * q - 40 * q^4 + 4 * q^5 - 10 * q^7 + 40 * q^9 + 10 * q^11 - 40 * q^16 - 50 * q^17 + 76 * q^20 + 16 * q^23 - 80 * q^25 - 68 * q^26 - 40 * q^35 + 40 * q^36 - 62 * q^38 + 8 * q^42 + 40 * q^44 - 4 * q^45 + 20 * q^47 + 110 * q^49 - 18 * q^55 - 20 * q^57 - 24 * q^58 + 10 * q^61 + 120 * q^62 - 10 * q^63 - 136 * q^64 - 12 * q^66 + 160 * q^68 + 20 * q^73 - 100 * q^74 + 90 * q^77 - 156 * q^80 - 40 * q^81 + 68 * q^82 - 200 * q^83 + 30 * q^85 - 84 * q^92 - 96 * q^93 - 60 * q^95 + 100 * q^96 - 10 * q^99

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