LMFDB - Embedded newform 154.2.f.d.15.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [154,2,Mod(15,154)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(154, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("154.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 154 = 2 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	154.f (of order $5$, 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:	$1.22969619113$
Analytic rank:	$0$
Dimension:	$4$
Coefficient field:	$\Q(\zeta_{10})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{4} - x^{3} + x^{2} - x + 1 $ x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			15.1
Root			$0.809017 - 0.587785i$ of defining polynomial
Character	$\chi$	$=$	154.15
Dual form			154.2.f.d.113.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.809017 + 0.587785i) q^{2} +(0.690983 - 2.12663i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.309017 - 0.224514i) q^{5} +(1.80902 - 1.31433i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.61803 - 1.17557i) q^{9} +0.381966 q^{10} +(-3.23607 + 0.726543i) q^{11} +2.23607 q^{12} +(2.42705 + 1.76336i) q^{13} +(0.309017 - 0.951057i) q^{14} +(-0.263932 - 0.812299i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(2.80902 - 2.04087i) q^{17} +(-0.618034 - 1.90211i) q^{18} +(-1.69098 + 5.20431i) q^{19} +(0.309017 + 0.224514i) q^{20} -2.23607 q^{21} +(-3.04508 - 1.31433i) q^{22} -5.47214 q^{23} +(1.80902 + 1.31433i) q^{24} +(-1.50000 + 4.61653i) q^{25} +(0.927051 + 2.85317i) q^{26} +(1.80902 - 1.31433i) q^{27} +(0.809017 - 0.587785i) q^{28} +(0.927051 + 2.85317i) q^{29} +(0.263932 - 0.812299i) q^{30} +(-3.80902 - 2.76741i) q^{31} -1.00000 q^{32} +(-0.690983 + 7.38394i) q^{33} +3.47214 q^{34} +(-0.309017 - 0.224514i) q^{35} +(0.618034 - 1.90211i) q^{36} +(-1.64590 - 5.06555i) q^{37} +(-4.42705 + 3.21644i) q^{38} +(5.42705 - 3.94298i) q^{39} +(0.118034 + 0.363271i) q^{40} +(-0.472136 + 1.45309i) q^{41} +(-1.80902 - 1.31433i) q^{42} +2.85410 q^{43} +(-1.69098 - 2.85317i) q^{44} -0.763932 q^{45} +(-4.42705 - 3.21644i) q^{46} +(0.354102 - 1.08981i) q^{47} +(0.690983 + 2.12663i) q^{48} +(-0.809017 + 0.587785i) q^{49} +(-3.92705 + 2.85317i) q^{50} +(-2.39919 - 7.38394i) q^{51} +(-0.927051 + 2.85317i) q^{52} +(-6.66312 - 4.84104i) q^{53} +2.23607 q^{54} +(-0.836881 + 0.951057i) q^{55} +1.00000 q^{56} +(9.89919 + 7.19218i) q^{57} +(-0.927051 + 2.85317i) q^{58} +(-4.50000 - 13.8496i) q^{59} +(0.690983 - 0.502029i) q^{60} +(7.97214 - 5.79210i) q^{61} +(-1.45492 - 4.47777i) q^{62} +(-0.618034 + 1.90211i) q^{63} +(-0.809017 - 0.587785i) q^{64} +1.14590 q^{65} +(-4.89919 + 5.56758i) q^{66} +13.0000 q^{67} +(2.80902 + 2.04087i) q^{68} +(-3.78115 + 11.6372i) q^{69} +(-0.118034 - 0.363271i) q^{70} +(-3.42705 + 2.48990i) q^{71} +(1.61803 - 1.17557i) q^{72} +(3.57295 + 10.9964i) q^{73} +(1.64590 - 5.06555i) q^{74} +(8.78115 + 6.37988i) q^{75} -5.47214 q^{76} +(1.69098 + 2.85317i) q^{77} +6.70820 q^{78} +(9.89919 + 7.19218i) q^{79} +(-0.118034 + 0.363271i) q^{80} +(-3.39919 - 10.4616i) q^{81} +(-1.23607 + 0.898056i) q^{82} +(1.92705 - 1.40008i) q^{83} +(-0.690983 - 2.12663i) q^{84} +(0.409830 - 1.26133i) q^{85} +(2.30902 + 1.67760i) q^{86} +6.70820 q^{87} +(0.309017 - 3.30220i) q^{88} +4.85410 q^{89} +(-0.618034 - 0.449028i) q^{90} +(0.927051 - 2.85317i) q^{91} +(-1.69098 - 5.20431i) q^{92} +(-8.51722 + 6.18812i) q^{93} +(0.927051 - 0.673542i) q^{94} +(0.645898 + 1.98787i) q^{95} +(-0.690983 + 2.12663i) q^{96} +(6.85410 + 4.97980i) q^{97} -1.00000 q^{98} +(6.09017 + 2.62866i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q + q^{2} + 5 q^{3} - q^{4} - q^{5} + 5 q^{6} + q^{7} + q^{8} - 2 q^{9} + 6 q^{10} - 4 q^{11} + 3 q^{13} - q^{14} - 10 q^{15} - q^{16} + 9 q^{17} + 2 q^{18} - 9 q^{19} - q^{20} - q^{22} - 4 q^{23}+ \cdots + 2 q^{99}+O(q^{100}) $ 4 * q + q^2 + 5 * q^3 - q^4 - q^5 + 5 * q^6 + q^7 + q^8 - 2 * q^9 + 6 * q^10 - 4 * q^11 + 3 * q^13 - q^14 - 10 * q^15 - q^16 + 9 * q^17 + 2 * q^18 - 9 * q^19 - q^20 - q^22 - 4 * q^23 + 5 * q^24 - 6 * q^25 - 3 * q^26 + 5 * q^27 + q^28 - 3 * q^29 + 10 * q^30 - 13 * q^31 - 4 * q^32 - 5 * q^33 - 4 * q^34 + q^35 - 2 * q^36 - 20 * q^37 - 11 * q^38 + 15 * q^39 - 4 * q^40 + 16 * q^41 - 5 * q^42 - 2 * q^43 - 9 * q^44 - 12 * q^45 - 11 * q^46 - 12 * q^47 + 5 * q^48 - q^49 - 9 * q^50 + 15 * q^51 + 3 * q^52 - 11 * q^53 - 19 * q^55 + 4 * q^56 + 15 * q^57 + 3 * q^58 - 18 * q^59 + 5 * q^60 + 14 * q^61 - 17 * q^62 + 2 * q^63 - q^64 + 18 * q^65 + 5 * q^66 + 52 * q^67 + 9 * q^68 + 5 * q^69 + 4 * q^70 - 7 * q^71 + 2 * q^72 + 21 * q^73 + 20 * q^74 + 15 * q^75 - 4 * q^76 + 9 * q^77 + 15 * q^79 + 4 * q^80 + 11 * q^81 + 4 * q^82 + q^83 - 5 * q^84 + 24 * q^85 + 7 * q^86 - q^88 + 6 * q^89 + 2 * q^90 - 3 * q^91 - 9 * q^92 - 5 * q^93 - 3 * q^94 + 16 * q^95 - 5 * q^96 + 14 * q^97 - 4 * q^98 + 2 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/154\mathbb{Z}\right)^\times$.

$n$	$45$	$57$
$\chi(n)$	$1$	$e\left(\frac{1}{5}\right)$

Coefficient data

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

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

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

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	0.690983	−	2.12663i	0.398939	−	1.22781i	−0.526912	−	0.849920i	$-0.676650\pi$
$3$	0.690983	−	2.12663i	0.398939	−	1.22781i	0.925851	−	0.377889i	$-0.123350\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	0.309017	−	0.224514i	0.138197	−	0.100406i	−0.516539	−	0.856264i	$-0.672780\pi$
$5$	0.309017	−	0.224514i	0.138197	−	0.100406i	0.654736	+	0.755858i	$0.272780\pi$
$6$	1.80902	−	1.31433i	0.738528	−	0.536572i
$7$	−0.309017	−	0.951057i	−0.116797	−	0.359466i
$7$	−0.309017	−	0.951057i	−0.116797	−	0.359466i
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	−1.61803	−	1.17557i	−0.539345	−	0.391857i
$10$	0.381966			0.120788
$11$	−3.23607	+	0.726543i	−0.975711	+	0.219061i
$11$	−3.23607	+	0.726543i	−0.975711	+	0.219061i
$12$	2.23607			0.645497
$13$	2.42705	+	1.76336i	0.673143	+	0.489067i	0.871076	−	0.491149i	$-0.163423\pi$
$13$	2.42705	+	1.76336i	0.673143	+	0.489067i	−0.197933	+	0.980216i	$0.563423\pi$
$14$	0.309017	−	0.951057i	0.0825883	−	0.254181i
$15$	−0.263932	−	0.812299i	−0.0681470	−	0.209735i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	2.80902	−	2.04087i	0.681287	−	0.494984i	−0.192498	−	0.981297i	$-0.561659\pi$
$17$	2.80902	−	2.04087i	0.681287	−	0.494984i	0.873784	+	0.486314i	$0.161659\pi$
$18$	−0.618034	−	1.90211i	−0.145672	−	0.448332i
$19$	−1.69098	+	5.20431i	−0.387938	+	1.19395i	0.546388	+	0.837532i	$0.316002\pi$
$19$	−1.69098	+	5.20431i	−0.387938	+	1.19395i	−0.934326	+	0.356419i	$0.883998\pi$
$20$	0.309017	+	0.224514i	0.0690983	+	0.0502029i
$21$	−2.23607			−0.487950
$22$	−3.04508	−	1.31433i	−0.649214	−	0.280216i
$23$	−5.47214			−1.14102			−0.570510	−	0.821291i	$-0.693254\pi$
$23$	−5.47214			−1.14102			−0.570510	+	0.821291i	$0.693254\pi$
$24$	1.80902	+	1.31433i	0.369264	+	0.268286i
$25$	−1.50000	+	4.61653i	−0.300000	+	0.923305i
$26$	0.927051	+	2.85317i	0.181810	+	0.559553i
$27$	1.80902	−	1.31433i	0.348145	−	0.252942i
$28$	0.809017	−	0.587785i	0.152890	−	0.111081i
$29$	0.927051	+	2.85317i	0.172149	+	0.529820i	0.999492	−	0.0318771i	$-0.0101485\pi$
$29$	0.927051	+	2.85317i	0.172149	+	0.529820i	−0.827343	+	0.561697i	$0.810149\pi$
$30$	0.263932	−	0.812299i	0.0481872	−	0.148305i
$31$	−3.80902	−	2.76741i	−0.684120	−	0.497042i	0.190602	−	0.981667i	$-0.438956\pi$
$31$	−3.80902	−	2.76741i	−0.684120	−	0.497042i	−0.874722	+	0.484625i	$0.838956\pi$
$32$	−1.00000			−0.176777
$33$	−0.690983	+	7.38394i	−0.120285	+	1.28538i
$34$	3.47214			0.595466
$35$	−0.309017	−	0.224514i	−0.0522334	−	0.0379498i
$36$	0.618034	−	1.90211i	0.103006	−	0.317019i
$37$	−1.64590	−	5.06555i	−0.270584	−	0.832772i	−0.990354	−	0.138559i	$-0.955753\pi$
$37$	−1.64590	−	5.06555i	−0.270584	−	0.832772i	0.719770	−	0.694212i	$-0.244247\pi$
$38$	−4.42705	+	3.21644i	−0.718163	+	0.521776i
$39$	5.42705	−	3.94298i	0.869024	−	0.631383i
$40$	0.118034	+	0.363271i	0.0186628	+	0.0574382i
$41$	−0.472136	+	1.45309i	−0.0737352	+	0.226934i	−0.981131	−	0.193343i	$-0.938067\pi$
$41$	−0.472136	+	1.45309i	−0.0737352	+	0.226934i	0.907396	+	0.420277i	$0.138067\pi$
$42$	−1.80902	−	1.31433i	−0.279137	−	0.202805i
$43$	2.85410			0.435246			0.217623	−	0.976033i	$-0.430170\pi$
$43$	2.85410			0.435246			0.217623	+	0.976033i	$0.430170\pi$
$44$	−1.69098	−	2.85317i	−0.254925	−	0.430131i
$45$	−0.763932			−0.113880
$46$	−4.42705	−	3.21644i	−0.652733	−	0.474238i
$47$	0.354102	−	1.08981i	0.0516511	−	0.158966i	−0.921904	−	0.387419i	$-0.873367\pi$
$47$	0.354102	−	1.08981i	0.0516511	−	0.158966i	0.973555	+	0.228453i	$0.0733668\pi$
$48$	0.690983	+	2.12663i	0.0997348	+	0.306952i
$49$	−0.809017	+	0.587785i	−0.115574	+	0.0839693i
$50$	−3.92705	+	2.85317i	−0.555369	+	0.403499i
$51$	−2.39919	−	7.38394i	−0.335953	−	1.03396i
$52$	−0.927051	+	2.85317i	−0.128559	+	0.395663i
$53$	−6.66312	−	4.84104i	−0.915250	−	0.664968i	0.0270873	−	0.999633i	$-0.491377\pi$
$53$	−6.66312	−	4.84104i	−0.915250	−	0.664968i	−0.942337	+	0.334665i	$0.891377\pi$
$54$	2.23607			0.304290
$55$	−0.836881	+	0.951057i	−0.112845	+	0.128240i
$56$	1.00000			0.133631
$57$	9.89919	+	7.19218i	1.31118	+	0.952628i
$58$	−0.927051	+	2.85317i	−0.121728	+	0.374640i
$59$	−4.50000	−	13.8496i	−0.585850	−	1.80306i	−0.595829	−	0.803111i	$-0.703177\pi$
$59$	−4.50000	−	13.8496i	−0.585850	−	1.80306i	0.00997934	−	0.999950i	$-0.496823\pi$
$60$	0.690983	−	0.502029i	0.0892055	−	0.0648116i
$61$	7.97214	−	5.79210i	1.02073	−	0.741602i	0.0542955	−	0.998525i	$-0.482709\pi$
$61$	7.97214	−	5.79210i	1.02073	−	0.741602i	0.966432	+	0.256923i	$0.0827087\pi$
$62$	−1.45492	−	4.47777i	−0.184774	−	0.568677i
$63$	−0.618034	+	1.90211i	−0.0778650	+	0.239644i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	1.14590			0.142131
$66$	−4.89919	+	5.56758i	−0.603048	+	0.685322i
$67$	13.0000			1.58820			0.794101	−	0.607785i	$-0.207942\pi$
$67$	13.0000			1.58820			0.794101	+	0.607785i	$0.207942\pi$
$68$	2.80902	+	2.04087i	0.340643	+	0.247492i
$69$	−3.78115	+	11.6372i	−0.455197	+	1.40095i
$70$	−0.118034	−	0.363271i	−0.0141078	−	0.0434192i
$71$	−3.42705	+	2.48990i	−0.406716	+	0.295497i	−0.772271	−	0.635293i	$-0.780879\pi$
$71$	−3.42705	+	2.48990i	−0.406716	+	0.295497i	0.365555	+	0.930790i	$0.380879\pi$
$72$	1.61803	−	1.17557i	0.190687	−	0.138542i
$73$	3.57295	+	10.9964i	0.418182	+	1.28703i	0.909374	+	0.415980i	$0.136562\pi$
$73$	3.57295	+	10.9964i	0.418182	+	1.28703i	−0.491192	+	0.871052i	$0.663438\pi$
$74$	1.64590	−	5.06555i	0.191332	−	0.588859i
$75$	8.78115	+	6.37988i	1.01396	+	0.736685i
$76$	−5.47214			−0.627697
$77$	1.69098	+	2.85317i	0.192705	+	0.325149i
$78$	6.70820			0.759555
$79$	9.89919	+	7.19218i	1.11375	+	0.809184i	0.983249	−	0.182265i	$-0.0583430\pi$
$79$	9.89919	+	7.19218i	1.11375	+	0.809184i	0.130496	+	0.991449i	$0.458343\pi$
$80$	−0.118034	+	0.363271i	−0.0131966	+	0.0406150i
$81$	−3.39919	−	10.4616i	−0.377687	−	1.16240i
$82$	−1.23607	+	0.898056i	−0.136501	+	0.0991737i
$83$	1.92705	−	1.40008i	0.211521	−	0.153679i	−0.476980	−	0.878914i	$-0.658269\pi$
$83$	1.92705	−	1.40008i	0.211521	−	0.153679i	0.688502	+	0.725235i	$0.258269\pi$
$84$	−0.690983	−	2.12663i	−0.0753924	−	0.232034i
$85$	0.409830	−	1.26133i	0.0444523	−	0.136810i
$86$	2.30902	+	1.67760i	0.248988	+	0.180900i
$87$	6.70820			0.719195
$88$	0.309017	−	3.30220i	0.0329413	−	0.352015i
$89$	4.85410			0.514534			0.257267	−	0.966340i	$-0.417178\pi$
$89$	4.85410			0.514534			0.257267	+	0.966340i	$0.417178\pi$
$90$	−0.618034	−	0.449028i	−0.0651465	−	0.0473317i
$91$	0.927051	−	2.85317i	0.0971813	−	0.299093i
$92$	−1.69098	−	5.20431i	−0.176297	−	0.542587i
$93$	−8.51722	+	6.18812i	−0.883195	+	0.641678i
$94$	0.927051	−	0.673542i	0.0956180	−	0.0694705i
$95$	0.645898	+	1.98787i	0.0662677	+	0.203951i
$96$	−0.690983	+	2.12663i	−0.0705232	+	0.217048i
$97$	6.85410	+	4.97980i	0.695929	+	0.505622i	0.878604	−	0.477552i	$-0.158476\pi$
$97$	6.85410	+	4.97980i	0.695929	+	0.505622i	−0.182675	+	0.983173i	$0.558476\pi$
$98$	−1.00000			−0.101015
$99$	6.09017	+	2.62866i	0.612085	+	0.264190i
$100$	−4.85410			−0.485410
$101$	−12.5172	−	9.09429i	−1.24551	−	0.904916i	−0.247557	−	0.968873i	$-0.579628\pi$
$101$	−12.5172	−	9.09429i	−1.24551	−	0.904916i	−0.997953	+	0.0639572i	$0.979628\pi$
$102$	2.39919	−	7.38394i	0.237555	−	0.731119i
$103$	−3.28115	−	10.0984i	−0.323302	−	0.995020i	−0.972201	−	0.234146i	$-0.924771\pi$
$103$	−3.28115	−	10.0984i	−0.323302	−	0.995020i	0.648900	−	0.760874i	$-0.275229\pi$
$104$	−2.42705	+	1.76336i	−0.237992	+	0.172911i
$105$	−0.690983	+	0.502029i	−0.0674330	+	0.0489930i
$106$	−2.54508	−	7.83297i	−0.247201	−	0.760805i
$107$	5.44427	−	16.7557i	0.526318	−	1.61984i	−0.235378	−	0.971904i	$-0.575633\pi$
$107$	5.44427	−	16.7557i	0.526318	−	1.61984i	0.761695	−	0.647935i	$-0.224367\pi$
$108$	1.80902	+	1.31433i	0.174073	+	0.126471i
$109$	−8.14590			−0.780236			−0.390118	−	0.920765i	$-0.627566\pi$
$109$	−8.14590			−0.780236			−0.390118	+	0.920765i	$0.627566\pi$
$110$	−1.23607	+	0.277515i	−0.117854	+	0.0264600i
$111$	−11.9098			−1.13043
$112$	0.809017	+	0.587785i	0.0764449	+	0.0555405i
$113$	−2.70820	+	8.33499i	−0.254766	+	0.784090i	0.739109	+	0.673586i	$0.235247\pi$
$113$	−2.70820	+	8.33499i	−0.254766	+	0.784090i	−0.993876	+	0.110505i	$0.964753\pi$
$114$	3.78115	+	11.6372i	0.354137	+	1.08992i
$115$	−1.69098	+	1.22857i	−0.157685	+	0.114565i
$116$	−2.42705	+	1.76336i	−0.225346	+	0.163723i
$117$	−1.85410	−	5.70634i	−0.171412	−	0.527551i
$118$	4.50000	−	13.8496i	0.414259	−	1.27496i
$119$	−2.80902	−	2.04087i	−0.257502	−	0.187086i
$120$	0.854102			0.0779685
$121$	9.94427	−	4.70228i	0.904025	−	0.427480i
$122$	9.85410			0.892148
$123$	2.76393	+	2.00811i	0.249215	+	0.181066i
$124$	1.45492	−	4.47777i	0.130655	−	0.402115i
$125$	1.16312	+	3.57971i	0.104033	+	0.320179i
$126$	−1.61803	+	1.17557i	−0.144146	+	0.104728i
$127$	−16.2082	+	11.7759i	−1.43825	+	1.04495i	−0.449840	+	0.893109i	$0.648519\pi$
$127$	−16.2082	+	11.7759i	−1.43825	+	1.04495i	−0.988405	+	0.151837i	$0.951481\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	1.97214	−	6.06961i	0.173637	−	0.534399i
$130$	0.927051	+	0.673542i	0.0813077	+	0.0590735i
$131$	2.18034			0.190497			0.0952486	−	0.995454i	$-0.469635\pi$
$131$	2.18034			0.190497			0.0952486	+	0.995454i	$0.469635\pi$
$132$	−7.23607	+	1.62460i	−0.629819	+	0.141403i
$133$	5.47214			0.474494
$134$	10.5172	+	7.64121i	0.908550	+	0.660100i
$135$	0.263932	−	0.812299i	0.0227157	−	0.0699116i
$136$	1.07295	+	3.30220i	0.0920046	+	0.283161i
$137$	−11.2361	+	8.16348i	−0.959962	+	0.697453i	−0.953142	−	0.302523i	$-0.902171\pi$
$137$	−11.2361	+	8.16348i	−0.959962	+	0.697453i	−0.00682014	+	0.999977i	$0.502171\pi$
$138$	−9.89919	+	7.19218i	−0.842675	+	0.612239i
$139$	−3.56231	−	10.9637i	−0.302151	−	0.929925i	−0.980725	−	0.195393i	$-0.937402\pi$
$139$	−3.56231	−	10.9637i	−0.302151	−	0.929925i	0.678574	−	0.734532i	$-0.262598\pi$
$140$	0.118034	−	0.363271i	0.00997569	−	0.0307020i
$141$	−2.07295	−	1.50609i	−0.174574	−	0.126835i
$142$	−4.23607			−0.355483
$143$	−9.13525	−	3.94298i	−0.763928	−	0.329729i
$144$	2.00000			0.166667
$145$	0.927051	+	0.673542i	0.0769874	+	0.0559346i
$146$	−3.57295	+	10.9964i	−0.295699	+	0.910069i
$147$	0.690983	+	2.12663i	0.0569913	+	0.175401i
$148$	4.30902	−	3.13068i	0.354199	−	0.257341i
$149$	−0.927051	+	0.673542i	−0.0759470	+	0.0551787i	−0.625111	−	0.780536i	$-0.714946\pi$
$149$	−0.927051	+	0.673542i	−0.0759470	+	0.0551787i	0.549164	+	0.835715i	$0.314946\pi$
$150$	3.35410	+	10.3229i	0.273861	+	0.842858i
$151$	−4.00000	+	12.3107i	−0.325515	+	1.00183i	0.645692	+	0.763598i	$0.276569\pi$
$151$	−4.00000	+	12.3107i	−0.325515	+	1.00183i	−0.971207	+	0.238235i	$0.923431\pi$
$152$	−4.42705	−	3.21644i	−0.359081	−	0.260888i
$153$	−6.94427			−0.561411
$154$	−0.309017	+	3.30220i	−0.0249013	+	0.266099i
$155$	−1.79837			−0.144449
$156$	5.42705	+	3.94298i	0.434512	+	0.315691i
$157$	−0.399187	+	1.22857i	−0.0318586	+	0.0980506i	−0.965721	−	0.259581i	$-0.916416\pi$
$157$	−0.399187	+	1.22857i	−0.0318586	+	0.0980506i	0.933863	+	0.357631i	$0.116416\pi$
$158$	3.78115	+	11.6372i	0.300812	+	0.925805i
$159$	−14.8992	+	10.8249i	−1.18158	+	0.858470i
$160$	−0.309017	+	0.224514i	−0.0244299	+	0.0177494i
$161$	1.69098	+	5.20431i	0.133268	+	0.410157i
$162$	3.39919	−	10.4616i	0.267065	−	0.821943i
$163$	12.3541	+	8.97578i	0.967648	+	0.703037i	0.954914	−	0.296882i	$-0.0959467\pi$
$163$	12.3541	+	8.97578i	0.967648	+	0.703037i	0.0127336	+	0.999919i	$0.495947\pi$
$164$	−1.52786			−0.119306
$165$	1.44427	+	2.43690i	0.112436	+	0.189712i
$166$	2.38197			0.184876
$167$	−10.2082	−	7.41669i	−0.789935	−	0.573921i	0.118009	−	0.993012i	$-0.462349\pi$
$167$	−10.2082	−	7.41669i	−0.789935	−	0.573921i	−0.907944	+	0.419091i	$0.862349\pi$
$168$	0.690983	−	2.12663i	0.0533105	−	0.164073i
$169$	−1.23607	−	3.80423i	−0.0950822	−	0.292633i
$170$	1.07295	−	0.779543i	0.0822914	−	0.0597882i
$171$	8.85410	−	6.43288i	0.677090	−	0.491935i
$172$	0.881966	+	2.71441i	0.0672493	+	0.206972i
$173$	1.16312	−	3.57971i	0.0884303	−	0.272160i	−0.897056	−	0.441918i	$-0.854298\pi$
$173$	1.16312	−	3.57971i	0.0884303	−	0.272160i	0.985486	+	0.169757i	$0.0542983\pi$
$174$	5.42705	+	3.94298i	0.411424	+	0.298917i
$175$	4.85410			0.366936
$176$	2.19098	−	2.48990i	0.165152	−	0.187683i
$177$	−32.5623			−2.44753
$178$	3.92705	+	2.85317i	0.294345	+	0.213854i
$179$	−7.11803	+	21.9071i	−0.532027	+	1.63741i	0.217960	+	0.975958i	$0.430060\pi$
$179$	−7.11803	+	21.9071i	−0.532027	+	1.63741i	−0.749987	+	0.661453i	$0.769940\pi$
$180$	−0.236068	−	0.726543i	−0.0175955	−	0.0541533i
$181$	17.5623	−	12.7598i	1.30540	−	0.948426i	0.305403	−	0.952223i	$-0.401209\pi$
$181$	17.5623	−	12.7598i	1.30540	−	0.948426i	0.999993	+	0.00379750i	$0.00120879\pi$
$182$	2.42705	−	1.76336i	0.179905	−	0.130709i
$183$	−6.80902	−	20.9560i	−0.503337	−	1.54911i
$184$	1.69098	−	5.20431i	0.124661	−	0.383667i
$185$	−1.64590	−	1.19581i	−0.121009	−	0.0879181i
$186$	−10.5279			−0.771940
$187$	−7.60739	+	8.64527i	−0.556308	+	0.632204i
$188$	1.14590			0.0835732
$189$	−1.80902	−	1.31433i	−0.131587	−	0.0956033i
$190$	−0.645898	+	1.98787i	−0.0468584	+	0.144215i
$191$	1.75329	+	5.39607i	0.126864	+	0.390446i	0.994236	−	0.107214i	$-0.0341929\pi$
$191$	1.75329	+	5.39607i	0.126864	+	0.390446i	−0.867372	+	0.497660i	$0.834193\pi$
$192$	−1.80902	+	1.31433i	−0.130555	+	0.0948534i
$193$	1.04508	−	0.759299i	0.0752269	−	0.0546555i	−0.549536	−	0.835470i	$-0.685196\pi$
$193$	1.04508	−	0.759299i	0.0752269	−	0.0546555i	0.624763	+	0.780814i	$0.285196\pi$
$194$	2.61803	+	8.05748i	0.187964	+	0.578493i
$195$	0.791796	−	2.43690i	0.0567017	−	0.174510i
$196$	−0.809017	−	0.587785i	−0.0577869	−	0.0419847i
$197$	0.673762			0.0480036			0.0240018	−	0.999712i	$-0.492359\pi$
$197$	0.673762			0.0480036			0.0240018	+	0.999712i	$0.492359\pi$
$198$	3.38197	+	5.70634i	0.240346	+	0.405532i
$199$	7.70820			0.546420			0.273210	−	0.961954i	$-0.411915\pi$
$199$	7.70820			0.546420			0.273210	+	0.961954i	$0.411915\pi$
$200$	−3.92705	−	2.85317i	−0.277684	−	0.201750i
$201$	8.98278	−	27.6462i	0.633596	−	1.95001i
$202$	−4.78115	−	14.7149i	−0.336401	−	1.03534i
$203$	2.42705	−	1.76336i	0.170346	−	0.123763i
$204$	6.28115	−	4.56352i	0.439769	−	0.319511i
$205$	0.180340	+	0.555029i	0.0125955	+	0.0387649i
$206$	3.28115	−	10.0984i	0.228609	−	0.703585i
$207$	8.85410	+	6.43288i	0.615403	+	0.447116i
$208$	−3.00000			−0.208013
$209$	1.69098	−	18.0701i	0.116968	−	1.24993i
$210$	−0.854102			−0.0589386
$211$	−14.2812	−	10.3759i	−0.983155	−	0.714304i	−0.0247436	−	0.999694i	$-0.507877\pi$
$211$	−14.2812	−	10.3759i	−0.983155	−	0.714304i	−0.958412	+	0.285390i	$0.907877\pi$
$212$	2.54508	−	7.83297i	0.174797	−	0.537970i
$213$	2.92705	+	9.00854i	0.200558	+	0.617255i
$214$	14.2533	−	10.3556i	0.974335	−	0.707896i
$215$	0.881966	−	0.640786i	0.0601496	−	0.0437012i
$216$	0.690983	+	2.12663i	0.0470154	+	0.144699i
$217$	−1.45492	+	4.47777i	−0.0987661	+	0.303971i
$218$	−6.59017	−	4.78804i	−0.446343	−	0.324287i
$219$	25.8541			1.74706
$220$	−1.16312	−	0.502029i	−0.0784175	−	0.0338468i
$221$	10.4164			0.700683
$222$	−9.63525	−	7.00042i	−0.646676	−	0.469838i
$223$	−6.57295	+	20.2295i	−0.440157	+	1.35466i	0.447551	+	0.894258i	$0.352296\pi$
$223$	−6.57295	+	20.2295i	−0.440157	+	1.35466i	−0.887708	+	0.460406i	$0.847704\pi$
$224$	0.309017	+	0.951057i	0.0206471	+	0.0635451i
$225$	7.85410	−	5.70634i	0.523607	−	0.380423i
$226$	−7.09017	+	5.15131i	−0.471631	+	0.342660i
$227$	4.11803	+	12.6740i	0.273324	+	0.841203i	0.989658	+	0.143446i	$0.0458184\pi$
$227$	4.11803	+	12.6740i	0.273324	+	0.841203i	−0.716335	+	0.697757i	$0.754182\pi$
$228$	−3.78115	+	11.6372i	−0.250413	+	0.770692i
$229$	−16.4443	−	11.9475i	−1.08667	−	0.789511i	−0.107835	−	0.994169i	$-0.534392\pi$
$229$	−16.4443	−	11.9475i	−1.08667	−	0.789511i	−0.978833	+	0.204658i	$0.934392\pi$
$230$	−2.09017			−0.137822
$231$	7.23607	−	1.62460i	0.476098	−	0.106891i
$232$	−3.00000			−0.196960
$233$	23.4164	+	17.0130i	1.53406	+	1.11456i	0.953927	+	0.300038i	$0.0969992\pi$
$233$	23.4164	+	17.0130i	1.53406	+	1.11456i	0.580133	+	0.814522i	$0.303001\pi$
$234$	1.85410	−	5.70634i	0.121206	−	0.373035i
$235$	−0.135255	−	0.416272i	−0.00882306	−	0.0271546i
$236$	11.7812	−	8.55951i	0.766888	−	0.557177i
$237$	22.1353	−	16.0822i	1.43784	−	1.04465i
$238$	−1.07295	−	3.30220i	−0.0695490	−	0.214050i
$239$	−5.97214	+	18.3803i	−0.386305	+	1.18893i	0.549224	+	0.835675i	$0.314924\pi$
$239$	−5.97214	+	18.3803i	−0.386305	+	1.18893i	−0.935529	+	0.353250i	$0.885076\pi$
$240$	0.690983	+	0.502029i	0.0446028	+	0.0324058i
$241$	6.79837			0.437922			0.218961	−	0.975734i	$-0.429733\pi$
$241$	6.79837			0.437922			0.218961	+	0.975734i	$0.429733\pi$
$242$	10.8090	+	2.04087i	0.694830	+	0.131192i
$243$	−17.8885			−1.14755
$244$	7.97214	+	5.79210i	0.510364	+	0.370801i
$245$	−0.118034	+	0.363271i	−0.00754091	+	0.0232085i
$246$	1.05573	+	3.24920i	0.0673108	+	0.207161i
$247$	−13.2812	+	9.64932i	−0.845060	+	0.613972i
$248$	3.80902	−	2.76741i	0.241873	−	0.175731i
$249$	−1.64590	−	5.06555i	−0.104305	−	0.321016i
$250$	−1.16312	+	3.57971i	−0.0735621	+	0.226401i
$251$	21.7984	+	15.8374i	1.37590	+	0.999651i	0.997250	+	0.0741113i	$0.0236120\pi$
$251$	21.7984	+	15.8374i	1.37590	+	0.999651i	0.378651	+	0.925539i	$0.376388\pi$
$252$	−2.00000			−0.125988
$253$	17.7082	−	3.97574i	1.11331	−	0.249953i
$254$	−20.0344			−1.25707
$255$	−2.39919	−	1.74311i	−0.150243	−	0.109158i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−0.635255	−	1.95511i	−0.0396261	−	0.121957i	0.929287	−	0.369359i	$-0.120423\pi$
$257$	−0.635255	−	1.95511i	−0.0396261	−	0.121957i	−0.968913	+	0.247403i	$0.920423\pi$
$258$	5.16312	−	3.75123i	0.321442	−	0.233541i
$259$	−4.30902	+	3.13068i	−0.267749	+	0.194531i
$260$	0.354102	+	1.08981i	0.0219605	+	0.0675874i
$261$	1.85410	−	5.70634i	0.114766	−	0.353214i
$262$	1.76393	+	1.28157i	0.108976	+	0.0791758i
$263$	19.1459			1.18059			0.590293	−	0.807189i	$-0.299012\pi$
$263$	19.1459			1.18059			0.590293	+	0.807189i	$0.299012\pi$
$264$	−6.80902	−	2.93893i	−0.419066	−	0.180878i
$265$	−3.14590			−0.193251
$266$	4.42705	+	3.21644i	0.271440	+	0.197213i
$267$	3.35410	−	10.3229i	0.205268	−	0.631749i
$268$	4.01722	+	12.3637i	0.245391	+	0.755235i
$269$	4.92705	−	3.57971i	0.300408	−	0.218259i	−0.427362	−	0.904081i	$-0.640557\pi$
$269$	4.92705	−	3.57971i	0.300408	−	0.218259i	0.727770	+	0.685822i	$0.240557\pi$
$270$	0.690983	−	0.502029i	0.0420519	−	0.0305525i
$271$	−4.57295	−	14.0741i	−0.277787	−	0.854940i	−0.988469	−	0.151426i	$-0.951613\pi$
$271$	−4.57295	−	14.0741i	−0.277787	−	0.854940i	0.710682	−	0.703514i	$-0.248387\pi$
$272$	−1.07295	+	3.30220i	−0.0650571	+	0.200225i
$273$	−5.42705	−	3.94298i	−0.328460	−	0.238640i
$274$	−13.8885			−0.839038
$275$	1.50000	−	16.0292i	0.0904534	−	0.966597i
$276$	−12.2361			−0.736525
$277$	6.70820	+	4.87380i	0.403057	+	0.292838i	0.770785	−	0.637095i	$-0.219864\pi$
$277$	6.70820	+	4.87380i	0.403057	+	0.292838i	−0.367728	+	0.929933i	$0.619864\pi$
$278$	3.56231	−	10.9637i	0.213653	−	0.657556i
$279$	2.90983	+	8.95554i	0.174207	+	0.536154i
$280$	0.309017	−	0.224514i	0.0184673	−	0.0134173i
$281$	3.35410	−	2.43690i	0.200089	−	0.145373i	−0.483229	−	0.875494i	$-0.660536\pi$
$281$	3.35410	−	2.43690i	0.200089	−	0.145373i	0.683318	+	0.730121i	$0.260536\pi$
$282$	−0.791796	−	2.43690i	−0.0471508	−	0.145115i
$283$	−9.16312	+	28.2012i	−0.544691	+	1.67639i	0.177033	+	0.984205i	$0.443350\pi$
$283$	−9.16312	+	28.2012i	−0.544691	+	1.67639i	−0.721724	+	0.692181i	$0.756650\pi$
$284$	−3.42705	−	2.48990i	−0.203358	−	0.147748i
$285$	4.67376			0.276850
$286$	−5.07295	−	8.55951i	−0.299970	−	0.506134i
$287$	1.52786			0.0901870
$288$	1.61803	+	1.17557i	0.0953436	+	0.0692712i
$289$	−1.52786	+	4.70228i	−0.0898744	+	0.276605i
$290$	0.354102	+	1.08981i	0.0207936	+	0.0639961i
$291$	15.3262	−	11.1352i	0.898440	−	0.652755i
$292$	−9.35410	+	6.79615i	−0.547407	+	0.397715i
$293$	9.28115	+	28.5645i	0.542211	+	1.66875i	0.727531	+	0.686075i	$0.240668\pi$
$293$	9.28115	+	28.5645i	0.542211	+	1.66875i	−0.185320	+	0.982678i	$0.559332\pi$
$294$	−0.690983	+	2.12663i	−0.0402989	+	0.124027i
$295$	−4.50000	−	3.26944i	−0.262000	−	0.190354i
$296$	5.32624			0.309581
$297$	−4.89919	+	5.56758i	−0.284280	+	0.323064i
$298$	−1.14590			−0.0663801
$299$	−13.2812	−	9.64932i	−0.768069	−	0.558035i
$300$	−3.35410	+	10.3229i	−0.193649	+	0.595991i
$301$	−0.881966	−	2.71441i	−0.0508357	−	0.156456i
$302$	−10.4721	+	7.60845i	−0.602604	+	0.437817i
$303$	−27.9894	+	20.3355i	−1.60795	+	1.16824i
$304$	−1.69098	−	5.20431i	−0.0969845	−	0.298488i
$305$	1.16312	−	3.57971i	0.0666000	−	0.204974i
$306$	−5.61803	−	4.08174i	−0.321162	−	0.233338i
$307$	−16.7082			−0.953588			−0.476794	−	0.879015i	$-0.658201\pi$
$307$	−16.7082			−0.953588			−0.476794	+	0.879015i	$0.658201\pi$
$308$	−2.19098	+	2.48990i	−0.124843	+	0.141875i
$309$	−23.7426			−1.35067
$310$	−1.45492	−	1.05706i	−0.0826336	−	0.0600368i
$311$	10.3435	−	31.8339i	0.586524	−	1.80513i	−0.00653955	−	0.999979i	$-0.502082\pi$
$311$	10.3435	−	31.8339i	0.586524	−	1.80513i	0.593063	−	0.805156i	$-0.297918\pi$
$312$	2.07295	+	6.37988i	0.117358	+	0.361190i
$313$	6.35410	−	4.61653i	0.359155	−	0.260941i	−0.393545	−	0.919306i	$-0.628751\pi$
$313$	6.35410	−	4.61653i	0.359155	−	0.260941i	0.752700	+	0.658364i	$0.228751\pi$
$314$	−1.04508	+	0.759299i	−0.0589776	+	0.0428497i
$315$	0.236068	+	0.726543i	0.0133009	+	0.0409360i
$316$	−3.78115	+	11.6372i	−0.212706	+	0.654643i
$317$	−23.3713	−	16.9803i	−1.31266	−	0.953706i	−0.999993	−	0.00384515i	$-0.998776\pi$
$317$	−23.3713	−	16.9803i	−1.31266	−	0.953706i	−0.312672	−	0.949861i	$-0.601224\pi$
$318$	−18.4164			−1.03274
$319$	−5.07295	−	8.55951i	−0.284031	−	0.479240i
$320$	−0.381966			−0.0213525
$321$	−31.8713	−	23.1559i	−1.77888	−	1.29243i
$322$	−1.69098	+	5.20431i	−0.0942348	+	0.290025i
$323$	5.87132	+	18.0701i	0.326689	+	1.00545i
$324$	8.89919	−	6.46564i	0.494399	−	0.359202i
$325$	−11.7812	+	8.55951i	−0.653501	+	0.474796i
$326$	4.71885	+	14.5231i	0.261353	+	0.804361i
$327$	−5.62868	+	17.3233i	−0.311267	+	0.957980i
$328$	−1.23607	−	0.898056i	−0.0682504	−	0.0495868i
$329$	−1.14590			−0.0631754
$330$	−0.263932	+	2.82041i	−0.0145290	+	0.155259i
$331$	18.2918			1.00541			0.502704	−	0.864459i	$-0.332339\pi$
$331$	18.2918			1.00541			0.502704	+	0.864459i	$0.332339\pi$
$332$	1.92705	+	1.40008i	0.105761	+	0.0768396i
$333$	−3.29180	+	10.1311i	−0.180389	+	0.555181i
$334$	−3.89919	−	12.0005i	−0.213354	−	0.656636i
$335$	4.01722	−	2.91868i	0.219484	−	0.159465i
$336$	1.80902	−	1.31433i	0.0986900	−	0.0717025i
$337$	−6.88197	−	21.1805i	−0.374885	−	1.15378i	−0.943556	−	0.331212i	$-0.892543\pi$
$337$	−6.88197	−	21.1805i	−0.374885	−	1.15378i	0.568672	−	0.822564i	$-0.307457\pi$
$338$	1.23607	−	3.80423i	0.0672332	−	0.206923i
$339$	15.8541	+	11.5187i	0.861077	+	0.625609i
$340$	1.32624			0.0719253
$341$	14.3369	+	6.18812i	0.776386	+	0.335106i
$342$	10.9443			0.591798
$343$	0.809017	+	0.587785i	0.0436828	+	0.0317374i
$344$	−0.881966	+	2.71441i	−0.0475524	+	0.146351i
$345$	1.44427	+	4.44501i	0.0777570	+	0.239311i
$346$	3.04508	−	2.21238i	0.163705	−	0.118938i
$347$	22.3713	−	16.2537i	1.20096	−	0.872545i	0.206577	−	0.978430i	$-0.433768\pi$
$347$	22.3713	−	16.2537i	1.20096	−	0.872545i	0.994378	+	0.105885i	$0.0337676\pi$
$348$	2.07295	+	6.37988i	0.111122	+	0.341998i
$349$	−6.18034	+	19.0211i	−0.330826	+	1.01818i	0.637916	+	0.770106i	$0.279797\pi$
$349$	−6.18034	+	19.0211i	−0.330826	+	1.01818i	−0.968742	+	0.248072i	$0.920203\pi$
$350$	3.92705	+	2.85317i	0.209910	+	0.152508i
$351$	6.70820			0.358057
$352$	3.23607	−	0.726543i	0.172483	−	0.0387248i
$353$	−7.90983			−0.420998			−0.210499	−	0.977594i	$-0.567509\pi$
$353$	−7.90983			−0.420998			−0.210499	+	0.977594i	$0.567509\pi$
$354$	−26.3435	−	19.1396i	−1.40014	−	1.01726i
$355$	−0.500000	+	1.53884i	−0.0265372	+	0.0816732i
$356$	1.50000	+	4.61653i	0.0794998	+	0.244675i
$357$	−6.28115	+	4.56352i	−0.332434	+	0.241527i
$358$	−18.6353	+	13.5393i	−0.984904	+	0.715575i
$359$	3.57295	+	10.9964i	0.188573	+	0.580368i	0.999992	−	0.00409736i	$-0.00130423\pi$
$359$	3.57295	+	10.9964i	0.188573	+	0.580368i	−0.811419	+	0.584465i	$0.801304\pi$
$360$	0.236068	−	0.726543i	0.0124419	−	0.0382922i
$361$	−8.85410	−	6.43288i	−0.466005	−	0.338573i
$362$	21.7082			1.14096
$363$	−3.12868	−	24.3970i	−0.164213	−	1.28051i
$364$	3.00000			0.157243
$365$	3.57295	+	2.59590i	0.187017	+	0.135876i
$366$	6.80902	−	20.9560i	0.355913	−	1.09539i
$367$	6.83688	+	21.0418i	0.356882	+	1.09837i	0.954910	+	0.296895i	$0.0959512\pi$
$367$	6.83688	+	21.0418i	0.356882	+	1.09837i	−0.598028	+	0.801475i	$0.704049\pi$
$368$	4.42705	−	3.21644i	0.230776	−	0.167669i
$369$	2.47214	−	1.79611i	0.128694	−	0.0935019i
$370$	−0.628677	−	1.93487i	−0.0326834	−	0.100589i
$371$	−2.54508	+	7.83297i	−0.132134	+	0.406667i
$372$	−8.51722	−	6.18812i	−0.441597	−	0.320839i
$373$	8.81966			0.456665			0.228332	−	0.973583i	$-0.426673\pi$
$373$	8.81966			0.456665			0.228332	+	0.973583i	$0.426673\pi$
$374$	−11.2361	+	2.52265i	−0.581003	+	0.130443i
$375$	8.41641			0.434621
$376$	0.927051	+	0.673542i	0.0478090	+	0.0347353i
$377$	−2.78115	+	8.55951i	−0.143237	+	0.440837i
$378$	−0.690983	−	2.12663i	−0.0355403	−	0.109382i
$379$	5.80902	−	4.22050i	0.298389	−	0.216792i	−0.428509	−	0.903537i	$-0.640961\pi$
$379$	5.80902	−	4.22050i	0.298389	−	0.216792i	0.726898	+	0.686745i	$0.240961\pi$
$380$	−1.69098	+	1.22857i	−0.0867456	+	0.0630244i
$381$	13.8435	+	42.6058i	0.709222	+	2.18276i
$382$	−1.75329	+	5.39607i	−0.0897061	+	0.276087i
$383$	−13.2533	−	9.62908i	−0.677211	−	0.492023i	0.195220	−	0.980759i	$-0.437458\pi$
$383$	−13.2533	−	9.62908i	−0.677211	−	0.492023i	−0.872431	+	0.488737i	$0.837458\pi$
$384$	−2.23607			−0.114109
$385$	1.16312	+	0.502029i	0.0592780	+	0.0255857i
$386$	1.29180			0.0657507
$387$	−4.61803	−	3.35520i	−0.234748	−	0.170554i
$388$	−2.61803	+	8.05748i	−0.132911	+	0.409057i
$389$	−3.15248	−	9.70232i	−0.159837	−	0.491927i	0.838782	−	0.544467i	$-0.183268\pi$
$389$	−3.15248	−	9.70232i	−0.159837	−	0.491927i	−0.998619	+	0.0525402i	$0.983268\pi$
$390$	2.07295	−	1.50609i	0.104968	−	0.0762636i
$391$	−15.3713	+	11.1679i	−0.777361	+	0.564786i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	1.50658	−	4.63677i	0.0759968	−	0.233894i
$394$	0.545085	+	0.396027i	0.0274610	+	0.0199516i
$395$	4.67376			0.235162
$396$	−0.618034	+	6.60440i	−0.0310574	+	0.331883i
$397$	7.29180			0.365965			0.182982	−	0.983116i	$-0.441425\pi$
$397$	7.29180			0.365965			0.182982	+	0.983116i	$0.441425\pi$
$398$	6.23607	+	4.53077i	0.312586	+	0.227107i
$399$	3.78115	−	11.6372i	0.189294	−	0.582588i
$400$	−1.50000	−	4.61653i	−0.0750000	−	0.230826i
$401$	13.2812	−	9.64932i	0.663229	−	0.481864i	−0.204523	−	0.978862i	$-0.565564\pi$
$401$	13.2812	−	9.64932i	0.663229	−	0.481864i	0.867752	+	0.496998i	$0.165564\pi$
$402$	23.5172	−	17.0863i	1.17293	−	0.852185i
$403$	−4.36475	−	13.4333i	−0.217423	−	0.669161i
$404$	4.78115	−	14.7149i	0.237871	−	0.732092i
$405$	−3.39919	−	2.46965i	−0.168907	−	0.122718i
$406$	3.00000			0.148888
$407$	9.00658	+	15.1967i	0.446439	+	0.753270i
$408$	7.76393			0.384372
$409$	−22.8435	−	16.5967i	−1.12954	−	0.820656i	−0.143909	−	0.989591i	$-0.545967\pi$
$409$	−22.8435	−	16.5967i	−1.12954	−	0.820656i	−0.985627	+	0.168935i	$0.945967\pi$
$410$	−0.180340	+	0.555029i	−0.00890635	+	0.0274109i
$411$	9.59675	+	29.5358i	0.473373	+	1.45689i
$412$	8.59017	−	6.24112i	0.423207	−	0.307478i
$413$	−11.7812	+	8.55951i	−0.579713	+	0.421186i
$414$	3.38197	+	10.4086i	0.166215	+	0.511556i
$415$	0.281153	−	0.865300i	0.0138013	−	0.0424759i
$416$	−2.42705	−	1.76336i	−0.118996	−	0.0864556i
$417$	−25.7771			−1.26231
$418$	11.9894	−	13.6251i	0.586419	−	0.666424i
$419$	27.2705			1.33225			0.666126	−	0.745839i	$-0.267951\pi$
$419$	27.2705			1.33225			0.666126	+	0.745839i	$0.267951\pi$
$420$	−0.690983	−	0.502029i	−0.0337165	−	0.0244965i
$421$	12.1074	−	37.2627i	0.590078	−	1.81607i	0.0122360	−	0.999925i	$-0.496105\pi$
$421$	12.1074	−	37.2627i	0.590078	−	1.81607i	0.577842	−	0.816149i	$-0.303895\pi$
$422$	−5.45492	−	16.7885i	−0.265541	−	0.817251i
$423$	−1.85410	+	1.34708i	−0.0901495	+	0.0654975i
$424$	6.66312	−	4.84104i	0.323590	−	0.235102i
$425$	5.20820	+	16.0292i	0.252635	+	0.777531i
$426$	−2.92705	+	9.00854i	−0.141816	+	0.436465i
$427$	−7.97214	−	5.79210i	−0.385799	−	0.280299i
$428$	17.6180			0.851600
$429$	−14.6976	+	16.7027i	−0.709605	+	0.806416i
$430$	1.09017			0.0525727
$431$	−12.5172	−	9.09429i	−0.602933	−	0.438057i	0.243986	−	0.969779i	$-0.421545\pi$
$431$	−12.5172	−	9.09429i	−0.602933	−	0.438057i	−0.846919	+	0.531722i	$0.821545\pi$
$432$	−0.690983	+	2.12663i	−0.0332449	+	0.102317i
$433$	−3.48936	−	10.7391i	−0.167688	−	0.516090i	0.831537	−	0.555470i	$-0.187462\pi$
$433$	−3.48936	−	10.7391i	−0.167688	−	0.516090i	−0.999224	+	0.0393801i	$0.987462\pi$
$434$	−3.80902	+	2.76741i	−0.182839	+	0.132840i
$435$	2.07295	−	1.50609i	0.0993903	−	0.0722113i
$436$	−2.51722	−	7.74721i	−0.120553	−	0.371024i
$437$	9.25329	−	28.4787i	0.442645	−	1.36232i
$438$	20.9164	+	15.1967i	0.999425	+	0.726124i
$439$	−9.23607			−0.440813			−0.220407	−	0.975408i	$-0.570738\pi$
$439$	−9.23607			−0.440813			−0.220407	+	0.975408i	$0.570738\pi$
$440$	−0.645898	−	1.08981i	−0.0307920	−	0.0519548i
$441$	2.00000			0.0952381
$442$	8.42705	+	6.12261i	0.400834	+	0.291223i
$443$	6.86475	−	21.1275i	0.326154	−	1.00380i	−0.644763	−	0.764382i	$-0.723044\pi$
$443$	6.86475	−	21.1275i	0.326154	−	1.00380i	0.970917	−	0.239416i	$-0.0769560\pi$
$444$	−3.68034	−	11.3269i	−0.174661	−	0.537552i
$445$	1.50000	−	1.08981i	0.0711068	−	0.0516621i
$446$	−17.2082	+	12.5025i	−0.814832	+	0.592010i
$447$	0.791796	+	2.43690i	0.0374507	+	0.115261i
$448$	−0.309017	+	0.951057i	−0.0145997	+	0.0449332i
$449$	6.30902	+	4.58377i	0.297741	+	0.216321i	0.726618	−	0.687041i	$-0.241091\pi$
$449$	6.30902	+	4.58377i	0.297741	+	0.216321i	−0.428878	+	0.903363i	$0.641091\pi$
$450$	9.70820			0.457649
$451$	0.472136	−	5.04531i	0.0222320	−	0.237574i
$452$	−8.76393			−0.412221
$453$	23.4164	+	17.0130i	1.10020	+	0.799341i
$454$	−4.11803	+	12.6740i	−0.193269	+	0.594821i
$455$	−0.354102	−	1.08981i	−0.0166006	−	0.0510913i
$456$	−9.89919	+	7.19218i	−0.463572	+	0.336805i
$457$	−12.4721	+	9.06154i	−0.583422	+	0.423881i	−0.839956	−	0.542654i	$-0.817419\pi$
$457$	−12.4721	+	9.06154i	−0.583422	+	0.423881i	0.256534	+	0.966535i	$0.417419\pi$
$458$	−6.28115	−	19.3314i	−0.293499	−	0.903297i
$459$	2.39919	−	7.38394i	0.111984	−	0.344653i
$460$	−1.69098	−	1.22857i	−0.0788425	−	0.0572824i
$461$	−19.1459			−0.891713			−0.445857	−	0.895104i	$-0.647101\pi$
$461$	−19.1459			−0.891713			−0.445857	+	0.895104i	$0.647101\pi$
$462$	6.80902	+	2.93893i	0.316784	+	0.136731i
$463$	6.61803			0.307566			0.153783	−	0.988105i	$-0.450854\pi$
$463$	6.61803			0.307566			0.153783	+	0.988105i	$0.450854\pi$
$464$	−2.42705	−	1.76336i	−0.112673	−	0.0818617i
$465$	−1.24265	+	3.82447i	−0.0576263	+	0.177356i
$466$	8.94427	+	27.5276i	0.414335	+	1.27519i
$467$	−12.6631	+	9.20029i	−0.585979	+	0.425739i	−0.840875	−	0.541230i	$-0.817959\pi$
$467$	−12.6631	+	9.20029i	−0.585979	+	0.425739i	0.254895	+	0.966969i	$0.417959\pi$
$468$	4.85410	−	3.52671i	0.224381	−	0.163022i
$469$	−4.01722	−	12.3637i	−0.185498	−	0.570904i
$470$	0.135255	−	0.416272i	0.00623884	−	0.0192012i
$471$	2.33688	+	1.69784i	0.107678	+	0.0782325i
$472$	14.5623			0.670284
$473$	−9.23607	+	2.07363i	−0.424675	+	0.0953454i
$474$	27.3607			1.25672
$475$	−21.4894	−	15.6129i	−0.985999	−	0.716370i
$476$	1.07295	−	3.30220i	0.0491785	−	0.151356i
$477$	5.09017	+	15.6659i	0.233063	+	0.717294i
$478$	−15.6353	+	11.3597i	−0.715140	+	0.519580i
$479$	3.14590	−	2.28563i	0.143740	−	0.104433i	−0.513591	−	0.858035i	$-0.671685\pi$
$479$	3.14590	−	2.28563i	0.143740	−	0.104433i	0.657331	+	0.753602i	$0.271685\pi$
$480$	0.263932	+	0.812299i	0.0120468	+	0.0370762i
$481$	4.93769	−	15.1967i	0.225139	−	0.692908i
$482$	5.50000	+	3.99598i	0.250518	+	0.182012i
$483$	12.2361			0.556760
$484$	7.54508	+	8.00448i	0.342958	+	0.363840i
$485$	3.23607			0.146942
$486$	−14.4721	−	10.5146i	−0.656469	−	0.476953i
$487$	−0.399187	+	1.22857i	−0.0180889	+	0.0556719i	−0.959694	−	0.281049i	$-0.909318\pi$
$487$	−0.399187	+	1.22857i	−0.0180889	+	0.0556719i	0.941605	+	0.336721i	$0.109318\pi$
$488$	3.04508	+	9.37181i	0.137845	+	0.424242i
$489$	27.6246	−	20.0705i	1.24923	−	0.907617i
$490$	−0.309017	+	0.224514i	−0.0139600	+	0.0101425i
$491$	3.57295	+	10.9964i	0.161245	+	0.496261i	0.998740	−	0.0501840i	$-0.0159808\pi$
$491$	3.57295	+	10.9964i	0.161245	+	0.496261i	−0.837495	+	0.546445i	$0.815981\pi$
$492$	−1.05573	+	3.24920i	−0.0475959	+	0.146485i
$493$	8.42705	+	6.12261i	0.379535	+	0.275749i
$494$	−16.4164			−0.738609
$495$	2.47214	−	0.555029i	0.111114	−	0.0249467i
$496$	4.70820			0.211405
$497$	3.42705	+	2.48990i	0.153724	+	0.111687i
$498$	1.64590	−	5.06555i	0.0737545	−	0.226993i
$499$	−4.57953	−	14.0943i	−0.205008	−	0.630949i	−0.999713	−	0.0239536i	$-0.992375\pi$
$499$	−4.57953	−	14.0943i	−0.205008	−	0.630949i	0.794705	−	0.606995i	$-0.207625\pi$
$500$	−3.04508	+	2.21238i	−0.136180	+	0.0989408i
$501$	−22.8262	+	16.5842i	−1.01980	+	0.740929i
$502$	8.32624	+	25.6255i	0.371618	+	1.14372i
$503$	7.12868	−	21.9398i	0.317852	−	0.978248i	−0.656713	−	0.754141i	$-0.728054\pi$
$503$	7.12868	−	21.9398i	0.317852	−	0.978248i	0.974565	−	0.224107i	$-0.0719465\pi$
$504$	−1.61803	−	1.17557i	−0.0720730	−	0.0523641i
$505$	−5.90983			−0.262984
$506$	16.6631	+	7.19218i	0.740766	+	0.319731i
$507$	−8.94427			−0.397229
$508$	−16.2082	−	11.7759i	−0.719123	−	0.522473i
$509$	−1.61803	+	4.97980i	−0.0717181	+	0.220726i	−0.980490	−	0.196567i	$-0.937021\pi$
$509$	−1.61803	+	4.97980i	−0.0717181	+	0.220726i	0.908772	+	0.417292i	$0.137021\pi$
$510$	−0.916408	−	2.82041i	−0.0405792	−	0.124890i
$511$	9.35410	−	6.79615i	0.413801	−	0.300644i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	3.78115	+	11.6372i	0.166942	+	0.513795i
$514$	0.635255	−	1.95511i	0.0280199	−	0.0862364i
$515$	−3.28115	−	2.38390i	−0.144585	−	0.105047i
$516$	6.38197			0.280950
$517$	−0.354102	+	3.78398i	−0.0155734	+	0.166419i
$518$	−5.32624			−0.234021
$519$	−6.80902	−	4.94704i	−0.298883	−	0.217151i
$520$	−0.354102	+	1.08981i	−0.0155284	+	0.0477915i
$521$	−2.86475	−	8.81678i	−0.125507	−	0.386270i	0.868486	−	0.495713i	$-0.165093\pi$
$521$	−2.86475	−	8.81678i	−0.125507	−	0.386270i	−0.993993	+	0.109443i	$0.965093\pi$
$522$	4.85410	−	3.52671i	0.212458	−	0.154360i
$523$	−3.57295	+	2.59590i	−0.156234	+	0.113511i	−0.663156	−	0.748481i	$-0.730783\pi$
$523$	−3.57295	+	2.59590i	−0.156234	+	0.113511i	0.506922	+	0.861992i	$0.330783\pi$
$524$	0.673762	+	2.07363i	0.0294334	+	0.0905868i
$525$	3.35410	−	10.3229i	0.146385	−	0.450527i
$526$	15.4894	+	11.2537i	0.675368	+	0.490684i
$527$	−16.3475			−0.712109
$528$	−3.78115	−	6.37988i	−0.164554	−	0.277649i
$529$	6.94427			0.301925
$530$	−2.54508	−	1.84911i	−0.110551	−	0.0803203i
$531$	−9.00000	+	27.6992i	−0.390567	+	1.20204i
$532$	1.69098	+	5.20431i	0.0733134	+	0.225635i
$533$	−3.70820	+	2.69417i	−0.160620	+	0.116697i
$534$	8.78115	−	6.37988i	0.379998	−	0.276084i
$535$	−2.07953	−	6.40013i	−0.0899058	−	0.276702i
$536$	−4.01722	+	12.3637i	−0.173518	+	0.534032i
$537$	41.6697	+	30.2748i	1.79818	+	1.30645i
$538$	6.09017			0.262566
$539$	2.19098	−	2.48990i	0.0943723	−	0.107248i
$540$	0.854102			0.0367547
$541$	−1.85410	−	1.34708i	−0.0797141	−	0.0579157i	0.547214	−	0.836992i	$-0.315688\pi$
$541$	−1.85410	−	1.34708i	−0.0797141	−	0.0579157i	−0.626929	+	0.779077i	$0.715688\pi$
$542$	4.57295	−	14.0741i	0.196425	−	0.604534i
$543$	−15.0000	−	46.1653i	−0.643712	−	1.98114i
$544$	−2.80902	+	2.04087i	−0.120436	+	0.0875016i
$545$	−2.51722	+	1.82887i	−0.107826	+	0.0783401i
$546$	−2.07295	−	6.37988i	−0.0887140	−	0.273034i
$547$	4.01722	−	12.3637i	0.171764	−	0.528635i	−0.827707	−	0.561161i	$-0.810355\pi$
$547$	4.01722	−	12.3637i	0.171764	−	0.528635i	0.999471	+	0.0325255i	$0.0103550\pi$
$548$	−11.2361	−	8.16348i	−0.479981	−	0.348727i
$549$	−19.7082			−0.841126
$550$	10.6353	−	12.0862i	0.453489	−	0.515358i
$551$	−16.4164			−0.699362
$552$	−9.89919	−	7.19218i	−0.421337	−	0.306120i
$553$	3.78115	−	11.6372i	0.160791	−	0.494864i
$554$	2.56231	+	7.88597i	0.108862	+	0.335043i
$555$	−3.68034	+	2.67392i	−0.156222	+	0.113502i
$556$	9.32624	−	6.77591i	0.395521	−	0.287363i
$557$	9.48936	+	29.2052i	0.402077	+	1.23747i	0.923311	+	0.384052i	$0.125472\pi$
$557$	9.48936	+	29.2052i	0.402077	+	1.23747i	−0.521234	+	0.853414i	$0.674528\pi$
$558$	−2.90983	+	8.95554i	−0.123183	+	0.379118i
$559$	6.92705	+	5.03280i	0.292983	+	0.212865i
$560$	0.381966			0.0161410
$561$	13.1287	+	22.1518i	0.554293	+	0.935250i
$562$	4.14590			0.174884
$563$	−5.38197	−	3.91023i	−0.226823	−	0.164796i	0.468570	−	0.883427i	$-0.344769\pi$
$563$	−5.38197	−	3.91023i	−0.226823	−	0.164796i	−0.695393	+	0.718630i	$0.744769\pi$
$564$	0.791796	−	2.43690i	0.0333406	−	0.102612i
$565$	1.03444	+	3.18368i	0.0435193	+	0.133939i
$566$	−23.9894	+	17.4293i	−1.00835	+	0.732608i
$567$	−8.89919	+	6.46564i	−0.373731	+	0.271531i
$568$	−1.30902	−	4.02874i	−0.0549251	−	0.169042i
$569$	−12.3541	+	38.0220i	−0.517911	+	1.59397i	0.260012	+	0.965606i	$0.416274\pi$
$569$	−12.3541	+	38.0220i	−0.517911	+	1.59397i	−0.777922	+	0.628360i	$0.783726\pi$
$570$	3.78115	+	2.74717i	0.158375	+	0.115066i
$571$	−25.9443			−1.08573			−0.542867	−	0.839819i	$-0.682661\pi$
$571$	−25.9443			−1.08573			−0.542867	+	0.839819i	$0.682661\pi$
$572$	0.927051	−	9.90659i	0.0387619	−	0.414215i
$573$	12.6869			0.530004
$574$	1.23607	+	0.898056i	0.0515925	+	0.0374841i
$575$	8.20820	−	25.2623i	0.342306	−	1.05351i
$576$	0.618034	+	1.90211i	0.0257514	+	0.0792547i
$577$	7.78115	−	5.65334i	0.323934	−	0.235352i	−0.413919	−	0.910314i	$-0.635840\pi$
$577$	7.78115	−	5.65334i	0.323934	−	0.235352i	0.737852	+	0.674962i	$0.235840\pi$
$578$	−4.00000	+	2.90617i	−0.166378	+	0.120881i
$579$	−0.892609	−	2.74717i	−0.0370956	−	0.114168i
$580$	−0.354102	+	1.08981i	−0.0147033	+	0.0452521i
$581$	−1.92705	−	1.40008i	−0.0799475	−	0.0580853i
$582$	18.9443			0.785265
$583$	25.0795	+	10.8249i	1.03869	+	0.448321i
$584$	−11.5623			−0.478452
$585$	−1.85410	−	1.34708i	−0.0766577	−	0.0556951i
$586$	−9.28115	+	28.5645i	−0.383401	+	1.17999i
$587$	−1.30902	−	4.02874i	−0.0540289	−	0.166284i	0.920401	−	0.390976i	$-0.127862\pi$
$587$	−1.30902	−	4.02874i	−0.0540289	−	0.166284i	−0.974430	+	0.224692i	$0.927862\pi$
$588$	−1.80902	+	1.31433i	−0.0746026	+	0.0542020i
$589$	20.8435	−	15.1437i	0.858840	−	0.623984i
$590$	−1.71885	−	5.29007i	−0.0707638	−	0.217789i
$591$	0.465558	−	1.43284i	0.0191505	−	0.0589392i
$592$	4.30902	+	3.13068i	0.177100	+	0.128670i
$593$	−1.34752			−0.0553362			−0.0276681	−	0.999617i	$-0.508808\pi$
$593$	−1.34752			−0.0553362			−0.0276681	+	0.999617i	$0.508808\pi$
$594$	−7.23607	+	1.62460i	−0.296899	+	0.0666581i
$595$	−1.32624			−0.0543705
$596$	−0.927051	−	0.673542i	−0.0379735	−	0.0275894i
$597$	5.32624	−	16.3925i	0.217988	−	0.670899i
$598$	−5.07295	−	15.6129i	−0.207448	−	0.638460i
$599$	−10.8992	+	7.91872i	−0.445329	+	0.323550i	−0.787749	−	0.615997i	$-0.788753\pi$
$599$	−10.8992	+	7.91872i	−0.445329	+	0.323550i	0.342420	+	0.939547i	$0.388753\pi$
$600$	−8.78115	+	6.37988i	−0.358489	+	0.260458i
$601$	0.927051	+	2.85317i	0.0378152	+	0.116383i	0.968182	−	0.250246i	$-0.0805116\pi$
$601$	0.927051	+	2.85317i	0.0378152	+	0.116383i	−0.930367	+	0.366630i	$0.880512\pi$
$602$	0.881966	−	2.71441i	0.0359463	−	0.110631i
$603$	−21.0344	−	15.2824i	−0.856589	−	0.622348i
$604$	−12.9443			−0.526695
$605$	2.01722	−	3.68571i	0.0820117	−	0.149846i
$606$	−34.5967			−1.40540
$607$	32.8607	+	23.8747i	1.33377	+	0.969043i	0.999648	+	0.0265148i	$0.00844091\pi$
$607$	32.8607	+	23.8747i	1.33377	+	0.969043i	0.334125	+	0.942529i	$0.391559\pi$
$608$	1.69098	−	5.20431i	0.0685784	−	0.211063i
$609$	−2.07295	−	6.37988i	−0.0840001	−	0.258526i
$610$	3.04508	−	2.21238i	0.123292	−	0.0895768i
$611$	2.78115	−	2.02063i	0.112513	−	0.0817458i
$612$	−2.14590	−	6.60440i	−0.0867428	−	0.266967i
$613$	6.79180	−	20.9030i	0.274318	−	0.844264i	−0.715081	−	0.699042i	$-0.753610\pi$
$613$	6.79180	−	20.9030i	0.274318	−	0.844264i	0.989399	−	0.145223i	$-0.0463898\pi$
$614$	−13.5172	−	9.82084i	−0.545511	−	0.396337i
$615$	1.30495			0.0526207
$616$	−3.23607	+	0.726543i	−0.130385	+	0.0292732i
$617$	−12.5279			−0.504353			−0.252176	−	0.967681i	$-0.581146\pi$
$617$	−12.5279			−0.504353			−0.252176	+	0.967681i	$0.581146\pi$
$618$	−19.2082	−	13.9556i	−0.772667	−	0.561376i
$619$	−12.9549	+	39.8711i	−0.520702	+	1.60256i	0.251960	+	0.967738i	$0.418925\pi$
$619$	−12.9549	+	39.8711i	−0.520702	+	1.60256i	−0.772662	+	0.634818i	$0.781075\pi$
$620$	−0.555728	−	1.71036i	−0.0223186	−	0.0686895i
$621$	−9.89919	+	7.19218i	−0.397241	+	0.288612i
$622$	27.0795	−	19.6744i	1.08579	−	0.788873i
$623$	−1.50000	−	4.61653i	−0.0600962	−	0.184957i
$624$	−2.07295	+	6.37988i	−0.0829844	+	0.255400i
$625$	−18.4721	−	13.4208i	−0.738885	−	0.536832i
$626$	7.85410			0.313913
$627$	−37.2599	−	16.0822i	−1.48802	−	0.642261i
$628$	−1.29180			−0.0515483
$629$	−14.9615	−	10.8702i	−0.596554	−	0.433422i
$630$	−0.236068	+	0.726543i	−0.00940517	+	0.0289461i
$631$	9.48278	+	29.1850i	0.377503	+	1.16184i	0.941774	+	0.336246i	$0.109157\pi$
$631$	9.48278	+	29.1850i	0.377503	+	1.16184i	−0.564271	+	0.825590i	$0.690843\pi$
$632$	−9.89919	+	7.19218i	−0.393769	+	0.286090i
$633$	−31.9336	+	23.2011i	−1.26925	+	0.922163i
$634$	−8.92705	−	27.4746i	−0.354538	−	1.09116i
$635$	−2.36475	+	7.27794i	−0.0938420	+	0.288816i
$636$	−14.8992	−	10.8249i	−0.590791	−	0.429235i
$637$	−3.00000			−0.118864
$638$	0.927051	−	9.90659i	0.0367023	−	0.392206i
$639$	8.47214			0.335153
$640$	−0.309017	−	0.224514i	−0.0122150	−	0.00887469i
$641$	−7.87132	+	24.2254i	−0.310899	+	0.956847i	0.666511	+	0.745495i	$0.267787\pi$
$641$	−7.87132	+	24.2254i	−0.310899	+	0.956847i	−0.977410	+	0.211352i	$0.932213\pi$
$642$	−12.1738	−	37.4670i	−0.480460	−	1.47870i
$643$	−4.51722	+	3.28195i	−0.178142	+	0.129428i	−0.673283	−	0.739385i	$-0.735116\pi$
$643$	−4.51722	+	3.28195i	−0.178142	+	0.129428i	0.495141	+	0.868813i	$0.335116\pi$
$644$	−4.42705	+	3.21644i	−0.174450	+	0.126746i
$645$	−0.753289	−	2.31838i	−0.0296607	−	0.0912863i
$646$	−5.87132	+	18.0701i	−0.231004	+	0.710958i
$647$	−0.281153	−	0.204270i	−0.0110533	−	0.00803067i	0.582245	−	0.813013i	$-0.302174\pi$
$647$	−0.281153	−	0.204270i	−0.0110533	−	0.00803067i	−0.593298	+	0.804983i	$0.702174\pi$
$648$	11.0000			0.432121
$649$	24.6246	+	41.5487i	0.966601	+	1.63093i
$650$	−14.5623			−0.571181
$651$	8.51722	+	6.18812i	0.333816	+	0.242532i
$652$	−4.71885	+	14.5231i	−0.184804	+	0.568769i
$653$	−5.12461	−	15.7719i	−0.200542	−	0.617203i	−0.999867	−	0.0163052i	$-0.994810\pi$
$653$	−5.12461	−	15.7719i	−0.200542	−	0.617203i	0.799326	−	0.600898i	$-0.205190\pi$
$654$	−14.7361	+	10.7064i	−0.576226	+	0.418653i
$655$	0.673762	−	0.489517i	0.0263261	−	0.0191270i
$656$	−0.472136	−	1.45309i	−0.0184338	−	0.0567334i
$657$	7.14590	−	21.9928i	0.278788	−	0.858021i
$658$	−0.927051	−	0.673542i	−0.0361402	−	0.0262574i
$659$	−9.90983			−0.386032			−0.193016	−	0.981196i	$-0.561827\pi$
$659$	−9.90983			−0.386032			−0.193016	+	0.981196i	$0.561827\pi$
$660$	−1.87132	+	2.12663i	−0.0728411	+	0.0827788i
$661$	−21.5066			−0.836509			−0.418254	−	0.908330i	$-0.637358\pi$
$661$	−21.5066			−0.836509			−0.418254	+	0.908330i	$0.637358\pi$
$662$	14.7984	+	10.7516i	0.575155	+	0.417875i
$663$	7.19756	−	22.1518i	0.279530	−	0.860305i
$664$	0.736068	+	2.26538i	0.0285650	+	0.0879140i
$665$	1.69098	−	1.22857i	0.0655735	−	0.0476419i
$666$	−8.61803	+	6.26137i	−0.333942	+	0.242623i
$667$	−5.07295	−	15.6129i	−0.196425	−	0.604535i
$668$	3.89919	−	12.0005i	0.150864	−	0.464312i
$669$	38.4787	+	27.9564i	1.48767	+	1.08086i
$670$	4.96556			0.191836
$671$	−21.5902	+	24.5357i	−0.833479	+	0.947191i
$672$	2.23607			0.0862582
$673$	29.4615	+	21.4050i	1.13566	+	0.825103i	0.986508	−	0.163712i	$-0.0523466\pi$
$673$	29.4615	+	21.4050i	1.13566	+	0.825103i	0.149149	+	0.988815i	$0.452347\pi$
$674$	6.88197	−	21.1805i	0.265083	−	0.815843i
$675$	3.35410	+	10.3229i	0.129099	+	0.397327i
$676$	3.23607	−	2.35114i	0.124464	−	0.0904285i
$677$	26.6525	−	19.3642i	1.02434	−	0.744225i	0.0571703	−	0.998364i	$-0.481792\pi$
$677$	26.6525	−	19.3642i	1.02434	−	0.744225i	0.967168	+	0.254139i	$0.0817922\pi$
$678$	6.05573	+	18.6376i	0.232569	+	0.715773i
$679$	2.61803	−	8.05748i	0.100471	−	0.309218i
$680$	1.07295	+	0.779543i	0.0411457	+	0.0298941i
$681$	29.7984			1.14188
$682$	7.96149	+	13.4333i	0.304861	+	0.514388i
$683$	21.9787			0.840992			0.420496	−	0.907294i	$-0.361856\pi$
$683$	21.9787			0.840992			0.420496	+	0.907294i	$0.361856\pi$
$684$	8.85410	+	6.43288i	0.338545	+	0.245967i
$685$	−1.63932	+	5.04531i	−0.0626352	+	0.192771i
$686$	0.309017	+	0.951057i	0.0117983	+	0.0363115i
$687$	−36.7705	+	26.7153i	−1.40288	+	1.01925i
$688$	−2.30902	+	1.67760i	−0.0880304	+	0.0639579i
$689$	−7.63525	−	23.4989i	−0.290880	−	0.895237i
$690$	−1.44427	+	4.44501i	−0.0549825	+	0.169219i
$691$	−18.2082	−	13.2290i	−0.692673	−	0.503256i	0.184865	−	0.982764i	$-0.440815\pi$
$691$	−18.2082	−	13.2290i	−0.692673	−	0.503256i	−0.877538	+	0.479508i	$0.840815\pi$
$692$	3.76393			0.143083
$693$	0.618034	−	6.60440i	0.0234772	−	0.250880i
$694$	27.6525			1.04967
$695$	−3.56231	−	2.58817i	−0.135126	−	0.0981748i
$696$	−2.07295	+	6.37988i	−0.0785749	+	0.241829i
$697$	1.63932	+	5.04531i	0.0620937	+	0.191105i
$698$	−16.1803	+	11.7557i	−0.612435	+	0.444960i
$699$	52.3607	−	38.0423i	1.98046	−	1.43889i
$700$	1.50000	+	4.61653i	0.0566947	+	0.174488i
$701$	−3.74265	+	11.5187i	−0.141358	+	0.435055i	−0.996525	−	0.0832983i	$-0.973455\pi$
$701$	−3.74265	+	11.5187i	−0.141358	+	0.435055i	0.855167	+	0.518353i	$0.173455\pi$
$702$	5.42705	+	3.94298i	0.204831	+	0.148818i
$703$	29.1459			1.09926
$704$	3.04508	+	1.31433i	0.114766	+	0.0495356i
$705$	−0.978714			−0.0368605
$706$	−6.39919	−	4.64928i	−0.240837	−	0.174978i
$707$	−4.78115	+	14.7149i	−0.179814	+	0.553410i
$708$	−10.0623	−	30.9686i	−0.378165	−	1.16387i
$709$	−0.0278640	+	0.0202444i	−0.00104646	+	0.000760295i	−0.588308	−	0.808637i	$-0.700206\pi$
$709$	−0.0278640	+	0.0202444i	−0.00104646	+	0.000760295i	0.587262	+	0.809397i	$0.300206\pi$
$710$	−1.30902	+	0.951057i	−0.0491265	+	0.0356925i
$711$	−7.56231	−	23.2744i	−0.283609	−	0.872858i
$712$	−1.50000	+	4.61653i	−0.0562149	+	0.173012i
$713$	20.8435	+	15.1437i	0.780594	+	0.567134i
$714$	−7.76393			−0.290558
$715$	−3.70820	+	0.832544i	−0.138679	+	0.0311354i
$716$	−23.0344			−0.860838
$717$	34.9615	+	25.4010i	1.30566	+	0.948618i
$718$	−3.57295	+	10.9964i	−0.133341	+	0.410382i
$719$	11.6631	+	35.8954i	0.434961	+	1.33867i	0.893127	+	0.449805i	$0.148507\pi$
$719$	11.6631	+	35.8954i	0.434961	+	1.33867i	−0.458166	+	0.888867i	$0.651493\pi$
$720$	0.618034	−	0.449028i	0.0230328	−	0.0167343i
$721$	−8.59017	+	6.24112i	−0.319915	+	0.232432i
$722$	−3.38197	−	10.4086i	−0.125864	−	0.387369i
$723$	4.69756	−	14.4576i	0.174704	−	0.537684i
$724$	17.5623	+	12.7598i	0.652698	+	0.474213i
$725$	−14.5623			−0.540830
$726$	11.8090	−	21.5765i	0.438274	−	0.800781i
$727$	35.0000			1.29808			0.649039	−	0.760755i	$-0.275171\pi$
$727$	35.0000			1.29808			0.649039	+	0.760755i	$0.275171\pi$
$728$	2.42705	+	1.76336i	0.0899525	+	0.0653543i
$729$	−2.16312	+	6.65740i	−0.0801155	+	0.246570i
$730$	1.36475	+	4.20025i	0.0505115	+	0.155458i
$731$	8.01722	−	5.82485i	0.296528	−	0.215440i
$732$	17.8262	−	12.9515i	0.658877	−	0.478702i
$733$	−6.20820	−	19.1069i	−0.229305	−	0.705729i	−0.997826	−	0.0659041i	$-0.979007\pi$
$733$	−6.20820	−	19.1069i	−0.229305	−	0.705729i	0.768521	−	0.639825i	$-0.220993\pi$
$734$	−6.83688	+	21.0418i	−0.252354	+	0.776665i
$735$	0.690983	+	0.502029i	0.0254873	+	0.0185176i
$736$	5.47214			0.201706
$737$	−42.0689	+	9.44505i	−1.54963	+	0.347913i
$738$	3.05573			0.112483
$739$	20.5623	+	14.9394i	0.756397	+	0.549554i	0.897803	−	0.440397i	$-0.145162\pi$
$739$	20.5623	+	14.9394i	0.756397	+	0.549554i	−0.141406	+	0.989952i	$0.545162\pi$
$740$	0.628677	−	1.93487i	0.0231106	−	0.0711272i
$741$	11.3435	+	34.9116i	0.416712	+	1.28251i
$742$	−6.66312	+	4.84104i	−0.244611	+	0.177720i
$743$	−3.57295	+	2.59590i	−0.131079	+	0.0952343i	−0.651393	−	0.758741i	$-0.725815\pi$
$743$	−3.57295	+	2.59590i	−0.131079	+	0.0952343i	0.520314	+	0.853975i	$0.325815\pi$
$744$	−3.25329	−	10.0126i	−0.119271	−	0.367079i
$745$	−0.135255	+	0.416272i	−0.00495536	+	0.0152510i
$746$	7.13525	+	5.18407i	0.261240	+	0.189802i
$747$	−4.76393			−0.174303
$748$	−10.5729	−	4.56352i	−0.386585	−	0.166859i
$749$	−17.6180			−0.643749
$750$	6.80902	+	4.94704i	0.248630	+	0.180640i
$751$	15.7639	−	48.5164i	0.575234	−	1.77039i	−0.0601469	−	0.998190i	$-0.519157\pi$
$751$	15.7639	−	48.5164i	0.575234	−	1.77039i	0.635381	−	0.772199i	$-0.280843\pi$
$752$	0.354102	+	1.08981i	0.0129128	+	0.0397414i
$753$	48.7426	−	35.4136i	1.77628	−	1.29054i
$754$	−7.28115	+	5.29007i	−0.265164	+	0.192653i
$755$	1.52786	+	4.70228i	0.0556047	+	0.171134i
$756$	0.690983	−	2.12663i	0.0251308	−	0.0773447i
$757$	−24.5902	−	17.8658i	−0.893745	−	0.649344i	0.0431068	−	0.999070i	$-0.486274\pi$
$757$	−24.5902	−	17.8658i	−0.893745	−	0.649344i	−0.936852	+	0.349727i	$0.886274\pi$
$758$	7.18034			0.260802
$759$	3.78115	−	40.4059i	0.137247	−	1.46664i
$760$	−2.09017			−0.0758184
$761$	5.61803	+	4.08174i	0.203654	+	0.147963i	0.684938	−	0.728602i	$-0.259829\pi$
$761$	5.61803	+	4.08174i	0.203654	+	0.147963i	−0.481284	+	0.876565i	$0.659829\pi$
$762$	−13.8435	+	42.6058i	−0.501496	+	1.54344i
$763$	2.51722	+	7.74721i	0.0911295	+	0.280468i
$764$	−4.59017	+	3.33495i	−0.166067	+	0.120654i
$765$	−2.14590	+	1.55909i	−0.0775851	+	0.0563689i
$766$	−5.06231	−	15.5802i	−0.182909	−	0.562935i
$767$	13.5000	−	41.5487i	0.487457	−	1.50024i
$768$	−1.80902	−	1.31433i	−0.0652773	−	0.0474267i
$769$	−23.9230			−0.862685			−0.431342	−	0.902188i	$-0.641960\pi$
$769$	−23.9230			−0.862685			−0.431342	+	0.902188i	$0.641960\pi$
$770$	0.645898	+	1.08981i	0.0232765	+	0.0392742i
$771$	−4.59675			−0.165548
$772$	1.04508	+	0.759299i	0.0376134	+	0.0273278i
$773$	−10.4377	+	32.1239i	−0.375418	+	1.15542i	0.567779	+	0.823181i	$0.307803\pi$
$773$	−10.4377	+	32.1239i	−0.375418	+	1.15542i	−0.943196	+	0.332236i	$0.892197\pi$
$774$	−1.76393	−	5.42882i	−0.0634032	−	0.195135i
$775$	18.4894	−	13.4333i	0.664157	−	0.482539i
$776$	−6.85410	+	4.97980i	−0.246048	+	0.178764i
$777$	3.68034	+	11.3269i	0.132031	+	0.406351i
$778$	3.15248	−	9.70232i	0.113022	−	0.347845i
$779$	−6.76393	−	4.91428i	−0.242343	−	0.176073i
$780$	2.56231			0.0917453
$781$	9.28115	−	10.5474i	0.332106	−	0.377415i
$782$	−19.0000			−0.679439
$783$	5.42705	+	3.94298i	0.193947	+	0.140911i
$784$	0.309017	−	0.951057i	0.0110363	−	0.0339663i
$785$	0.152476	+	0.469272i	0.00544210	+	0.0167490i
$786$	3.94427	−	2.86568i	0.140688	−	0.102215i
$787$	0.500000	−	0.363271i	0.0178231	−	0.0129492i	−0.578838	−	0.815443i	$-0.696494\pi$
$787$	0.500000	−	0.363271i	0.0178231	−	0.0129492i	0.596661	+	0.802493i	$0.296494\pi$
$788$	0.208204	+	0.640786i	0.00741696	+	0.0228270i
$789$	13.2295	−	40.7162i	0.470982	−	1.44953i
$790$	3.78115	+	2.74717i	0.134527	+	0.0977399i
$791$	8.76393			0.311610
$792$	−4.38197	+	4.97980i	−0.155706	+	0.176949i
$793$	29.5623			1.04979
$794$	5.89919	+	4.28601i	0.209354	+	0.152105i
$795$	−2.17376	+	6.69015i	−0.0770954	+	0.237275i
$796$	2.38197	+	7.33094i	0.0844265	+	0.259838i
$797$	33.5967	−	24.4095i	1.19006	−	0.864628i	0.196787	−	0.980446i	$-0.436949\pi$
$797$	33.5967	−	24.4095i	1.19006	−	0.864628i	0.993270	+	0.115819i	$0.0369491\pi$
$798$	9.89919	−	7.19218i	0.350427	−	0.254600i
$799$	−1.22949	−	3.78398i	−0.0434962	−	0.133868i
$800$	1.50000	−	4.61653i	0.0530330	−	0.163219i
$801$	−7.85410	−	5.70634i	−0.277511	−	0.201624i
$802$	16.4164			0.579684
$803$	−19.5517	−	32.9892i	−0.689963	−	1.16416i
$804$	29.0689			1.02518
$805$	1.69098	+	1.22857i	0.0595993	+	0.0433014i
$806$	4.36475	−	13.4333i	0.153742	−	0.473168i
$807$	−4.20820	−	12.9515i	−0.148136	−	0.455915i
$808$	12.5172	−	9.09429i	0.440354	−	0.319936i
$809$	−1.80902	+	1.31433i	−0.0636017	+	0.0462093i	−0.619132	−	0.785287i	$-0.712515\pi$
$809$	−1.80902	+	1.31433i	−0.0636017	+	0.0462093i	0.555530	+	0.831496i	$0.312515\pi$
$810$	−1.29837	−	3.99598i	−0.0456202	−	0.140405i
$811$	−7.06231	+	21.7355i	−0.247991	+	0.763238i	0.747139	+	0.664668i	$0.231427\pi$
$811$	−7.06231	+	21.7355i	−0.247991	+	0.763238i	−0.995130	+	0.0985703i	$0.968573\pi$
$812$	2.42705	+	1.76336i	0.0851728	+	0.0618817i
$813$	−33.0902			−1.16052
$814$	−1.64590	+	17.5883i	−0.0576887	+	0.616469i
$815$	5.83282			0.204315
$816$	6.28115	+	4.56352i	0.219884	+	0.159755i
$817$	−4.82624	+	14.8536i	−0.168849	+	0.519663i
$818$	−8.72542	−	26.8541i	−0.305077	−	0.938931i
$819$	−4.85410	+	3.52671i	−0.169616	+	0.123233i
$820$	−0.472136	+	0.343027i	−0.0164877	+	0.0119790i
$821$	−1.79837	−	5.53483i	−0.0627637	−	0.193167i	0.914758	−	0.404003i	$-0.132381\pi$
$821$	−1.79837	−	5.53483i	−0.0627637	−	0.193167i	−0.977521	+	0.210836i	$0.932381\pi$
$822$	−9.59675	+	29.5358i	−0.334725	+	1.03018i
$823$	−33.6976	−	24.4827i	−1.17462	−	0.853414i	−0.183068	−	0.983100i	$-0.558603\pi$
$823$	−33.6976	−	24.4827i	−1.17462	−	0.853414i	−0.991555	+	0.129687i	$0.958603\pi$
$824$	10.6180			0.369897
$825$	−33.0517	−	14.2658i	−1.15071	−	0.496673i
$826$	−14.5623			−0.506687
$827$	6.70820	+	4.87380i	0.233267	+	0.169478i	0.698278	−	0.715826i	$-0.253950\pi$
$827$	6.70820	+	4.87380i	0.233267	+	0.169478i	−0.465011	+	0.885305i	$0.653950\pi$
$828$	−3.38197	+	10.4086i	−0.117531	+	0.361725i
$829$	−8.78115	−	27.0256i	−0.304982	−	0.938638i	−0.979684	−	0.200548i	$-0.935728\pi$
$829$	−8.78115	−	27.0256i	−0.304982	−	0.938638i	0.674702	−	0.738090i	$-0.264272\pi$
$830$	0.736068	−	0.534785i	0.0255493	−	0.0185626i
$831$	15.0000	−	10.8981i	0.520344	−	0.378052i
$832$	−0.927051	−	2.85317i	−0.0321397	−	0.0989159i
$833$	−1.07295	+	3.30220i	−0.0371755	+	0.114414i
$834$	−20.8541	−	15.1514i	−0.722118	−	0.524650i
$835$	−4.81966			−0.166791
$836$	17.7082	−	3.97574i	0.612451	−	0.137504i
$837$	−10.5279			−0.363896
$838$	22.0623	+	16.0292i	0.762130	+	0.553720i
$839$	−3.71885	+	11.4454i	−0.128389	+	0.395140i	−0.994503	−	0.104706i	$-0.966610\pi$
$839$	−3.71885	+	11.4454i	−0.128389	+	0.395140i	0.866114	+	0.499846i	$0.166610\pi$
$840$	−0.263932	−	0.812299i	−0.00910652	−	0.0280270i
$841$	16.1803	−	11.7557i	0.557943	−	0.405369i
$842$	31.6976	−	23.0296i	1.09237	−	0.793653i
$843$	−2.86475	−	8.81678i	−0.0986671	−	0.303666i
$844$	5.45492	−	16.7885i	0.187766	−	0.577884i
$845$	−1.23607	−	0.898056i	−0.0425220	−	0.0308941i
$846$	−2.29180			−0.0787936
$847$	−7.54508	−	8.00448i	−0.259252	−	0.275037i
$848$	8.23607			0.282828
$849$	53.6418	+	38.9731i	1.84098	+	1.33755i
$850$	−5.20820	+	16.0292i	−0.178640	+	0.549797i
$851$	9.00658	+	27.7194i	0.308742	+	0.950209i
$852$	−7.66312	+	5.56758i	−0.262534	+	0.190742i
$853$	1.04508	−	0.759299i	0.0357830	−	0.0259979i	−0.569750	−	0.821818i	$-0.692960\pi$
$853$	1.04508	−	0.759299i	0.0357830	−	0.0259979i	0.605533	+	0.795820i	$0.292960\pi$
$854$	−3.04508	−	9.37181i	−0.104201	−	0.320697i
$855$	1.29180	−	3.97574i	0.0441785	−	0.135967i
$856$	14.2533	+	10.3556i	0.487167	+	0.353948i
$857$	−7.47214			−0.255243			−0.127622	−	0.991823i	$-0.540734\pi$
$857$	−7.47214			−0.255243			−0.127622	+	0.991823i	$0.540734\pi$
$858$	−21.7082	+	4.87380i	−0.741106	+	0.166389i
$859$	−45.9443			−1.56760			−0.783799	−	0.621014i	$-0.786721\pi$
$859$	−45.9443			−1.56760			−0.783799	+	0.621014i	$0.786721\pi$
$860$	0.881966	+	0.640786i	0.0300748	+	0.0218506i
$861$	1.05573	−	3.24920i	0.0359791	−	0.110732i
$862$	−4.78115	−	14.7149i	−0.162847	−	0.501191i
$863$	−37.0517	+	26.9196i	−1.26125	+	0.916354i	−0.998819	−	0.0485956i	$-0.984525\pi$
$863$	−37.0517	+	26.9196i	−1.26125	+	0.916354i	−0.262435	+	0.964950i	$0.584525\pi$
$864$	−1.80902	+	1.31433i	−0.0615440	+	0.0447143i
$865$	−0.444272	−	1.36733i	−0.0151057	−	0.0464906i
$866$	3.48936	−	10.7391i	0.118573	−	0.364931i
$867$	8.94427	+	6.49839i	0.303763	+	0.220697i
$868$	−4.70820			−0.159807
$869$	−37.2599	−	16.0822i	−1.26395	−	0.545551i
$870$	2.56231			0.0868703
$871$	31.5517	+	22.9236i	1.06909	+	0.776737i
$872$	2.51722	−	7.74721i	0.0852439	−	0.262354i
$873$	−5.23607	−	16.1150i	−0.177214	−	0.545409i
$874$	24.2254	−	17.6008i	0.819437	−	0.595356i
$875$	3.04508	−	2.21238i	0.102943	−	0.0747922i
$876$	7.98936	+	24.5887i	0.269935	+	0.830776i
$877$	−14.4549	+	44.4877i	−0.488108	+	1.50224i	0.339321	+	0.940671i	$0.389803\pi$
$877$	−14.4549	+	44.4877i	−0.488108	+	1.50224i	−0.827429	+	0.561571i	$0.810197\pi$
$878$	−7.47214	−	5.42882i	−0.252172	−	0.183214i
$879$	67.1591			2.26522
$880$	0.118034	−	1.26133i	0.00397892	−	0.0425193i
$881$	−44.5967			−1.50250			−0.751251	−	0.660016i	$-0.770549\pi$
$881$	−44.5967			−1.50250			−0.751251	+	0.660016i	$0.770549\pi$
$882$	1.61803	+	1.17557i	0.0544820	+	0.0395835i
$883$	−2.29180	+	7.05342i	−0.0771251	+	0.237367i	−0.982185	−	0.187918i	$-0.939826\pi$
$883$	−2.29180	+	7.05342i	−0.0771251	+	0.237367i	0.905060	+	0.425285i	$0.139826\pi$
$884$	3.21885	+	9.90659i	0.108262	+	0.333195i
$885$	−10.0623	+	7.31069i	−0.338241	+	0.245746i
$886$	17.9721	−	13.0575i	0.603786	−	0.438676i
$887$	−14.2254	−	43.7814i	−0.477643	−	1.47003i	−0.842360	−	0.538916i	$-0.818834\pi$
$887$	−14.2254	−	43.7814i	−0.477643	−	1.47003i	0.364717	−	0.931119i	$-0.381166\pi$
$888$	3.68034	−	11.3269i	0.123504	−	0.380107i
$889$	16.2082	+	11.7759i	0.543606	+	0.394953i
$890$	1.85410			0.0621496
$891$	18.6008	+	31.3849i	0.623151	+	1.05143i
$892$	−21.2705			−0.712189
$893$	5.07295	+	3.68571i	0.169760	+	0.123338i
$894$	−0.791796	+	2.43690i	−0.0264816	+	0.0815021i
$895$	2.71885	+	8.36775i	0.0908810	+	0.279703i
$896$	−0.809017	+	0.587785i	−0.0270274	+	0.0196365i
$897$	−29.6976	+	21.5765i	−0.991573	+	0.720420i
$898$	2.40983	+	7.41669i	0.0804171	+	0.247498i
$899$	4.36475	−	13.4333i	0.145572	−	0.448026i
$900$	7.85410	+	5.70634i	0.261803	+	0.190211i
$901$	−28.5967			−0.952696
$902$	3.34752	−	3.80423i	0.111460	−	0.126667i
$903$	−6.38197			−0.212379
$904$	−7.09017	−	5.15131i	−0.235816	−	0.171330i
$905$	2.56231	−	7.88597i	0.0851739	−	0.262138i
$906$	8.94427	+	27.5276i	0.297154	+	0.914545i
$907$	−37.3885	+	27.1644i	−1.24147	+	0.901978i	−0.997695	−	0.0678548i	$-0.978385\pi$
$907$	−37.3885	+	27.1644i	−1.24147	+	0.901978i	−0.243771	+	0.969833i	$0.578385\pi$
$908$	−10.7812	+	7.83297i	−0.357785	+	0.259946i
$909$	9.56231	+	29.4298i	0.317162	+	0.976123i
$910$	0.354102	−	1.08981i	0.0117384	−	0.0361270i
$911$	12.3541	+	8.97578i	0.409310	+	0.297381i	0.773322	−	0.634013i	$-0.218593\pi$
$911$	12.3541	+	8.97578i	0.409310	+	0.297381i	−0.364013	+	0.931394i	$0.618593\pi$
$912$	−12.2361			−0.405177
$913$	−5.21885	+	5.93085i	−0.172719	+	0.196283i
$914$	−15.4164			−0.509929
$915$	−6.80902	−	4.94704i	−0.225099	−	0.163544i
$916$	6.28115	−	19.3314i	0.207535	−	0.638727i
$917$	−0.673762	−	2.07363i	−0.0222496	−	0.0684772i
$918$	6.28115	−	4.56352i	0.207309	−	0.150619i
$919$	−16.7533	+	12.1720i	−0.552640	+	0.401516i	−0.828758	−	0.559607i	$-0.810952\pi$
$919$	−16.7533	+	12.1720i	−0.552640	+	0.401516i	0.276118	+	0.961124i	$0.410952\pi$
$920$	−0.645898	−	1.98787i	−0.0212946	−	0.0655381i
$921$	−11.5451	+	35.5321i	−0.380423	+	1.17082i
$922$	−15.4894	−	11.2537i	−0.510115	−	0.370620i
$923$	−12.7082			−0.418296
$924$	3.78115	+	6.37988i	0.124391	+	0.209883i
$925$	25.8541			0.850078
$926$	5.35410	+	3.88998i	0.175947	+	0.127833i
$927$	−6.56231	+	20.1967i	−0.215534	+	0.663347i
$928$	−0.927051	−	2.85317i	−0.0304319	−	0.0936599i
$929$	−30.1246	+	21.8868i	−0.988356	+	0.718083i	−0.959561	−	0.281502i	$-0.909167\pi$
$929$	−30.1246	+	21.8868i	−0.988356	+	0.718083i	−0.0287959	+	0.999585i	$0.509167\pi$
$930$	−3.25329	+	2.36365i	−0.106680	+	0.0775072i
$931$	−1.69098	−	5.20431i	−0.0554197	−	0.170564i
$932$	−8.94427	+	27.5276i	−0.292979	+	0.901698i
$933$	−60.5517	−	43.9934i	−1.98237	−	1.44028i
$934$	−15.6525			−0.512165
$935$	−0.409830	+	4.37950i	−0.0134029	+	0.143225i
$936$	6.00000			0.196116
$937$	−1.51722	−	1.10233i	−0.0495654	−	0.0360114i	0.562727	−	0.826643i	$-0.309752\pi$
$937$	−1.51722	−	1.10233i	−0.0495654	−	0.0360114i	−0.612292	+	0.790632i	$0.709752\pi$
$938$	4.01722	−	12.3637i	0.131167	−	0.403690i
$939$	−5.42705	−	16.7027i	−0.177105	−	0.545073i
$940$	0.354102	−	0.257270i	0.0115495	−	0.00839123i
$941$	15.1074	−	10.9762i	0.492487	−	0.357813i	−0.313653	−	0.949538i	$-0.601553\pi$
$941$	15.1074	−	10.9762i	0.492487	−	0.357813i	0.806140	+	0.591725i	$0.201553\pi$
$942$	0.892609	+	2.74717i	0.0290828	+	0.0895076i
$943$	2.58359	−	7.95148i	0.0841333	−	0.258936i
$944$	11.7812	+	8.55951i	0.383444	+	0.278588i
$945$	−0.854102			−0.0277839
$946$	−8.69098	−	3.75123i	−0.282568	−	0.121963i
$947$	59.3394			1.92827			0.964136	−	0.265410i	$-0.0855074\pi$
$947$	59.3394			1.92827			0.964136	+	0.265410i	$0.0855074\pi$
$948$	22.1353	+	16.0822i	0.718920	+	0.522326i
$949$	−10.7188	+	32.9892i	−0.347948	+	1.07088i
$950$	−8.20820	−	25.2623i	−0.266309	−	0.819616i
$951$	−52.2599	+	37.9690i	−1.69464	+	1.23123i
$952$	2.80902	−	2.04087i	0.0910408	−	0.0661450i
$953$	1.39261	+	4.28601i	0.0451110	+	0.138837i	0.971075	−	0.238774i	$-0.0767455\pi$
$953$	1.39261	+	4.28601i	0.0451110	+	0.138837i	−0.925964	+	0.377611i	$0.876746\pi$
$954$	−5.09017	+	15.6659i	−0.164800	+	0.507203i
$955$	1.75329	+	1.27384i	0.0567351	+	0.0412205i
$956$	−19.3262			−0.625055
$957$	−21.7082	+	4.87380i	−0.701727	+	0.157547i
$958$	3.88854			0.125633
$959$	11.2361	+	8.16348i	0.362832	+	0.263613i
$960$	−0.263932	+	0.812299i	−0.00851837	+	0.0262168i
$961$	−2.72949	−	8.40051i	−0.0880481	−	0.270984i
$962$	12.9271	−	9.39205i	0.416785	−	0.302812i
$963$	−28.5066	+	20.7112i	−0.918612	+	0.667410i
$964$	2.10081	+	6.46564i	0.0676626	+	0.208244i
$965$	0.152476	−	0.469272i	0.00490837	−	0.0151064i
$966$	9.89919	+	7.19218i	0.318501	+	0.231405i
$967$	2.85410			0.0917817			0.0458909	−	0.998946i	$-0.485387\pi$
$967$	2.85410			0.0917817			0.0458909	+	0.998946i	$0.485387\pi$
$968$	1.39919	+	10.9106i	0.0449716	+	0.350682i
$969$	42.4853			1.36482
$970$	2.61803	+	1.90211i	0.0840600	+	0.0610732i
$971$	4.55573	−	14.0211i	0.146200	−	0.449958i	−0.850963	−	0.525225i	$-0.823981\pi$
$971$	4.55573	−	14.0211i	0.146200	−	0.449958i	0.997163	+	0.0752673i	$0.0239810\pi$
$972$	−5.52786	−	17.0130i	−0.177306	−	0.545693i
$973$	−9.32624	+	6.77591i	−0.298985	+	0.217226i
$974$	−1.04508	+	0.759299i	−0.0334867	+	0.0243295i
$975$	10.0623	+	30.9686i	0.322252	+	0.991789i
$976$	−3.04508	+	9.37181i	−0.0974708	+	0.299984i
$977$	17.8541	+	12.9718i	0.571203	+	0.415004i	0.835542	−	0.549426i	$-0.185154\pi$
$977$	17.8541	+	12.9718i	0.571203	+	0.415004i	−0.264339	+	0.964430i	$0.585154\pi$
$978$	34.1459			1.09187
$979$	−15.7082	+	3.52671i	−0.502036	+	0.112714i
$980$	−0.381966			−0.0122015
$981$	13.1803	+	9.57608i	0.420816	+	0.305741i
$982$	−3.57295	+	10.9964i	−0.114017	+	0.350909i
$983$	−2.52786	−	7.77997i	−0.0806263	−	0.248142i	0.902616	−	0.430447i	$-0.141644\pi$
$983$	−2.52786	−	7.77997i	−0.0806263	−	0.248142i	−0.983242	+	0.182305i	$0.941644\pi$
$984$	−2.76393	+	2.00811i	−0.0881109	+	0.0640163i
$985$	0.208204	−	0.151269i	0.00663393	−	0.00481983i
$986$	3.21885	+	9.90659i	0.102509	+	0.315490i
$987$	−0.791796	+	2.43690i	−0.0252031	+	0.0775673i
$988$	−13.2812	−	9.64932i	−0.422530	−	0.306986i
$989$	−15.6180			−0.496625
$990$	2.32624	+	1.00406i	0.0739327	+	0.0319110i
$991$	2.83282			0.0899874			0.0449937	−	0.998987i	$-0.485673\pi$
$991$	2.83282			0.0899874			0.0449937	+	0.998987i	$0.485673\pi$
$992$	3.80902	+	2.76741i	0.120936	+	0.0878654i
$993$	12.6393	−	38.8998i	0.401097	−	1.23445i
$994$	1.30902	+	4.02874i	0.0415195	+	0.127784i
$995$	2.38197	−	1.73060i	0.0755134	−	0.0548637i
$996$	4.30902	−	3.13068i	0.136536	−	0.0991995i
$997$	−18.9721	−	58.3902i	−0.600854	−	1.84924i	−0.523113	−	0.852264i	$-0.675229\pi$
$997$	−18.9721	−	58.3902i	−0.600854	−	1.84924i	−0.0777409	−	0.996974i	$-0.524771\pi$
$998$	4.57953	−	14.0943i	0.144962	−	0.446148i
$999$	−9.63525	−	7.00042i	−0.304846	−	0.221484i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	154.2.f.d.15.1	✓	4
11.3	even	5	inner	154.2.f.d.113.1	yes	4
11.5	even	5		1694.2.a.n.1.2		2
11.6	odd	10		1694.2.a.s.1.2		2

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
154.2.f.d.15.1	✓	4	1.1	even	1	trivial
154.2.f.d.113.1	yes	4	11.3	even	5	inner
1694.2.a.n.1.2		2	11.5	even	5
1694.2.a.s.1.2		2	11.6	odd	10

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:	\( N \)	\(=\)	\( 154 = 2 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	154.f (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.690983 - 2.12663i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.309017 - 0.224514i) q^{5} +(1.80902 - 1.31433i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.61803 - 1.17557i) q^{9} +0.381966 q^{10} +(-3.23607 + 0.726543i) q^{11} +2.23607 q^{12} +(2.42705 + 1.76336i) q^{13} +(0.309017 - 0.951057i) q^{14} +(-0.263932 - 0.812299i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(2.80902 - 2.04087i) q^{17} +(-0.618034 - 1.90211i) q^{18} +(-1.69098 + 5.20431i) q^{19} +(0.309017 + 0.224514i) q^{20} -2.23607 q^{21} +(-3.04508 - 1.31433i) q^{22} -5.47214 q^{23} +(1.80902 + 1.31433i) q^{24} +(-1.50000 + 4.61653i) q^{25} +(0.927051 + 2.85317i) q^{26} +(1.80902 - 1.31433i) q^{27} +(0.809017 - 0.587785i) q^{28} +(0.927051 + 2.85317i) q^{29} +(0.263932 - 0.812299i) q^{30} +(-3.80902 - 2.76741i) q^{31} -1.00000 q^{32} +(-0.690983 + 7.38394i) q^{33} +3.47214 q^{34} +(-0.309017 - 0.224514i) q^{35} +(0.618034 - 1.90211i) q^{36} +(-1.64590 - 5.06555i) q^{37} +(-4.42705 + 3.21644i) q^{38} +(5.42705 - 3.94298i) q^{39} +(0.118034 + 0.363271i) q^{40} +(-0.472136 + 1.45309i) q^{41} +(-1.80902 - 1.31433i) q^{42} +2.85410 q^{43} +(-1.69098 - 2.85317i) q^{44} -0.763932 q^{45} +(-4.42705 - 3.21644i) q^{46} +(0.354102 - 1.08981i) q^{47} +(0.690983 + 2.12663i) q^{48} +(-0.809017 + 0.587785i) q^{49} +(-3.92705 + 2.85317i) q^{50} +(-2.39919 - 7.38394i) q^{51} +(-0.927051 + 2.85317i) q^{52} +(-6.66312 - 4.84104i) q^{53} +2.23607 q^{54} +(-0.836881 + 0.951057i) q^{55} +1.00000 q^{56} +(9.89919 + 7.19218i) q^{57} +(-0.927051 + 2.85317i) q^{58} +(-4.50000 - 13.8496i) q^{59} +(0.690983 - 0.502029i) q^{60} +(7.97214 - 5.79210i) q^{61} +(-1.45492 - 4.47777i) q^{62} +(-0.618034 + 1.90211i) q^{63} +(-0.809017 - 0.587785i) q^{64} +1.14590 q^{65} +(-4.89919 + 5.56758i) q^{66} +13.0000 q^{67} +(2.80902 + 2.04087i) q^{68} +(-3.78115 + 11.6372i) q^{69} +(-0.118034 - 0.363271i) q^{70} +(-3.42705 + 2.48990i) q^{71} +(1.61803 - 1.17557i) q^{72} +(3.57295 + 10.9964i) q^{73} +(1.64590 - 5.06555i) q^{74} +(8.78115 + 6.37988i) q^{75} -5.47214 q^{76} +(1.69098 + 2.85317i) q^{77} +6.70820 q^{78} +(9.89919 + 7.19218i) q^{79} +(-0.118034 + 0.363271i) q^{80} +(-3.39919 - 10.4616i) q^{81} +(-1.23607 + 0.898056i) q^{82} +(1.92705 - 1.40008i) q^{83} +(-0.690983 - 2.12663i) q^{84} +(0.409830 - 1.26133i) q^{85} +(2.30902 + 1.67760i) q^{86} +6.70820 q^{87} +(0.309017 - 3.30220i) q^{88} +4.85410 q^{89} +(-0.618034 - 0.449028i) q^{90} +(0.927051 - 2.85317i) q^{91} +(-1.69098 - 5.20431i) q^{92} +(-8.51722 + 6.18812i) q^{93} +(0.927051 - 0.673542i) q^{94} +(0.645898 + 1.98787i) q^{95} +(-0.690983 + 2.12663i) q^{96} +(6.85410 + 4.97980i) q^{97} -1.00000 q^{98} +(6.09017 + 2.62866i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q + q^{2} + 5 q^{3} - q^{4} - q^{5} + 5 q^{6} + q^{7} + q^{8} - 2 q^{9} + 6 q^{10} - 4 q^{11} + 3 q^{13} - q^{14} - 10 q^{15} - q^{16} + 9 q^{17} + 2 q^{18} - 9 q^{19} - q^{20} - q^{22} - 4 q^{23}+ \cdots + 2 q^{99}+O(q^{100}) \) 4 * q + q^2 + 5 * q^3 - q^4 - q^5 + 5 * q^6 + q^7 + q^8 - 2 * q^9 + 6 * q^10 - 4 * q^11 + 3 * q^13 - q^14 - 10 * q^15 - q^16 + 9 * q^17 + 2 * q^18 - 9 * q^19 - q^20 - q^22 - 4 * q^23 + 5 * q^24 - 6 * q^25 - 3 * q^26 + 5 * q^27 + q^28 - 3 * q^29 + 10 * q^30 - 13 * q^31 - 4 * q^32 - 5 * q^33 - 4 * q^34 + q^35 - 2 * q^36 - 20 * q^37 - 11 * q^38 + 15 * q^39 - 4 * q^40 + 16 * q^41 - 5 * q^42 - 2 * q^43 - 9 * q^44 - 12 * q^45 - 11 * q^46 - 12 * q^47 + 5 * q^48 - q^49 - 9 * q^50 + 15 * q^51 + 3 * q^52 - 11 * q^53 - 19 * q^55 + 4 * q^56 + 15 * q^57 + 3 * q^58 - 18 * q^59 + 5 * q^60 + 14 * q^61 - 17 * q^62 + 2 * q^63 - q^64 + 18 * q^65 + 5 * q^66 + 52 * q^67 + 9 * q^68 + 5 * q^69 + 4 * q^70 - 7 * q^71 + 2 * q^72 + 21 * q^73 + 20 * q^74 + 15 * q^75 - 4 * q^76 + 9 * q^77 + 15 * q^79 + 4 * q^80 + 11 * q^81 + 4 * q^82 + q^83 - 5 * q^84 + 24 * q^85 + 7 * q^86 - q^88 + 6 * q^89 + 2 * q^90 - 3 * q^91 - 9 * q^92 - 5 * q^93 - 3 * q^94 + 16 * q^95 - 5 * q^96 + 14 * q^97 - 4 * q^98 + 2 * q^99

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