LMFDB - Embedded newform 798.2.bf.a.569.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(569,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 3]))

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

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

chi := DirichletCharacter("798.569");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.bf (of order $6$, degree $2$, 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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$52$
Relative dimension:	$26$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			569.8
Character	$\chi$	$=$	798.569
Dual form			798.2.bf.a.683.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 + 0.866025i) q^{2} +(-1.08023 - 1.35392i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.74011 - 1.58200i) q^{5} +(1.71265 - 0.258544i) q^{6} +(1.89471 + 1.84664i) q^{7} +1.00000 q^{8} +(-0.666214 + 2.92509i) q^{9} +O(q^{10})$	\(q+(-0.500000 + 0.866025i) q^{2} +(-1.08023 - 1.35392i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.74011 - 1.58200i) q^{5} +(1.71265 - 0.258544i) q^{6} +(1.89471 + 1.84664i) q^{7} +1.00000 q^{8} +(-0.666214 + 2.92509i) q^{9} +(2.74011 - 1.58200i) q^{10} +(-4.68759 + 2.70638i) q^{11} +(-0.632417 + 1.61247i) q^{12} -4.37097i q^{13} +(-2.54659 + 0.717543i) q^{14} +(0.818034 + 5.41883i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(3.04438 - 1.75767i) q^{17} +(-2.20010 - 2.03950i) q^{18} +(-3.14272 + 3.02048i) q^{19} +3.16401i q^{20} +(0.453495 - 4.56008i) q^{21} -5.41277i q^{22} +(3.77616 + 2.18017i) q^{23} +(-1.08023 - 1.35392i) q^{24} +(2.50547 + 4.33961i) q^{25} +(3.78537 + 2.18548i) q^{26} +(4.68001 - 2.25776i) q^{27} +(0.651885 - 2.56419i) q^{28} -4.79774 q^{29} +(-5.10186 - 2.00097i) q^{30} +(-0.0421785 + 0.0243518i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(8.72791 + 3.42313i) q^{33} +3.51534i q^{34} +(-2.27031 - 8.05744i) q^{35} +(2.86631 - 0.885587i) q^{36} +(3.89567 + 2.24917i) q^{37} +(-1.04445 - 4.23192i) q^{38} +(-5.91795 + 4.72164i) q^{39} +(-2.74011 - 1.58200i) q^{40} +11.6677 q^{41} +(3.72240 + 2.67278i) q^{42} +9.85672 q^{43} +(4.68759 + 2.70638i) q^{44} +(6.45301 - 6.96112i) q^{45} +(-3.77616 + 2.18017i) q^{46} +(4.06140 + 2.34485i) q^{47} +(1.71265 - 0.258544i) q^{48} +(0.179827 + 6.99769i) q^{49} -5.01095 q^{50} +(-5.66837 - 2.22317i) q^{51} +(-3.78537 + 2.18548i) q^{52} +(1.75859 + 3.04596i) q^{53} +(-0.384725 + 5.18189i) q^{54} +17.1260 q^{55} +(1.89471 + 1.84664i) q^{56} +(7.48435 + 0.992193i) q^{57} +(2.39887 - 4.15496i) q^{58} +(2.50131 + 4.33240i) q^{59} +(4.28382 - 3.41785i) q^{60} +(0.239218 - 0.414338i) q^{61} -0.0487035i q^{62} +(-6.66388 + 4.31193i) q^{63} +1.00000 q^{64} +(-6.91489 + 11.9769i) q^{65} +(-7.32847 + 5.84702i) q^{66} +(4.74430 - 2.73912i) q^{67} +(-3.04438 - 1.75767i) q^{68} +(-1.12734 - 7.46771i) q^{69} +(8.11310 + 2.06257i) q^{70} +5.15864 q^{71} +(-0.666214 + 2.92509i) q^{72} +(-1.15205 - 1.99540i) q^{73} +(-3.89567 + 2.24917i) q^{74} +(3.16901 - 8.07999i) q^{75} +(4.18717 + 1.21144i) q^{76} +(-13.8793 - 3.52851i) q^{77} +(-1.13009 - 7.48592i) q^{78} +(-2.81253 - 1.62381i) q^{79} +(2.74011 - 1.58200i) q^{80} +(-8.11232 - 3.89747i) q^{81} +(-5.83384 + 10.1045i) q^{82} +4.90503i q^{83} +(-4.17589 + 1.88730i) q^{84} -11.1226 q^{85} +(-4.92836 + 8.53617i) q^{86} +(5.18265 + 6.49577i) q^{87} +(-4.68759 + 2.70638i) q^{88} +(5.15324 - 8.92567i) q^{89} +(2.80201 + 9.06903i) q^{90} +(8.07161 - 8.28170i) q^{91} -4.36033i q^{92} +(0.0785328 + 0.0308010i) q^{93} +(-4.06140 + 2.34485i) q^{94} +(13.3898 - 3.30466i) q^{95} +(-0.632417 + 1.61247i) q^{96} +18.0918i q^{97} +(-6.15009 - 3.34311i) q^{98} +(-4.79348 - 15.5147i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 52 q - 26 q^{2} - 26 q^{4} - 8 q^{7} + 52 q^{8}+O(q^{10}) $ 52 * q - 26 * q^2 - 26 * q^4 - 8 * q^7 + 52 * q^8	$ 52 q - 26 q^{2} - 26 q^{4} - 8 q^{7} + 52 q^{8} + 4 q^{14} + 8 q^{15} - 26 q^{16} + 2 q^{19} + 2 q^{21} + 18 q^{25} + 6 q^{27} + 4 q^{28} - 8 q^{29} - 4 q^{30} - 26 q^{32} + 8 q^{33} + 2 q^{38} + q^{39} + 16 q^{41} + 11 q^{42} - 8 q^{43} + 14 q^{45} + 4 q^{49} - 36 q^{50} - 19 q^{51} - 24 q^{53} - 3 q^{54} + 32 q^{55} - 8 q^{56} - 4 q^{57} + 4 q^{58} + 32 q^{59} - 4 q^{60} - 20 q^{61} - 7 q^{63} + 52 q^{64} - 44 q^{65} + 8 q^{66} + 62 q^{69} - 24 q^{71} - 32 q^{73} + 16 q^{75} - 4 q^{76} - 2 q^{78} - 28 q^{81} - 8 q^{82} - 13 q^{84} + 32 q^{85} + 4 q^{86} + 34 q^{87} - 36 q^{89} - 28 q^{90} + 20 q^{93} + 30 q^{95} - 20 q^{98} - 116 q^{99}+O(q^{100}) $ 52 * q - 26 * q^2 - 26 * q^4 - 8 * q^7 + 52 * q^8 + 4 * q^14 + 8 * q^15 - 26 * q^16 + 2 * q^19 + 2 * q^21 + 18 * q^25 + 6 * q^27 + 4 * q^28 - 8 * q^29 - 4 * q^30 - 26 * q^32 + 8 * q^33 + 2 * q^38 + q^39 + 16 * q^41 + 11 * q^42 - 8 * q^43 + 14 * q^45 + 4 * q^49 - 36 * q^50 - 19 * q^51 - 24 * q^53 - 3 * q^54 + 32 * q^55 - 8 * q^56 - 4 * q^57 + 4 * q^58 + 32 * q^59 - 4 * q^60 - 20 * q^61 - 7 * q^63 + 52 * q^64 - 44 * q^65 + 8 * q^66 + 62 * q^69 - 24 * q^71 - 32 * q^73 + 16 * q^75 - 4 * q^76 - 2 * q^78 - 28 * q^81 - 8 * q^82 - 13 * q^84 + 32 * q^85 + 4 * q^86 + 34 * q^87 - 36 * q^89 - 28 * q^90 + 20 * q^93 + 30 * q^95 - 20 * q^98 - 116 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$-1$	$-1$

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 $

$2$	−0.500000	+	0.866025i	−0.353553	+	0.612372i
$2$	−0.500000	+	0.866025i	−0.353553	+	0.612372i
$3$	−1.08023	−	1.35392i	−0.623670	−	0.781688i
$3$	−1.08023	−	1.35392i	−0.623670	−	0.781688i
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	−2.74011	−	1.58200i	−1.22542	−	0.707494i	−0.259348	−	0.965784i	$-0.583508\pi$
$5$	−2.74011	−	1.58200i	−1.22542	−	0.707494i	−0.966067	+	0.258290i	$0.916841\pi$
$6$	1.71265	−	0.258544i	0.699185	−	0.105550i
$7$	1.89471	+	1.84664i	0.716132	+	0.697965i
$7$	1.89471	+	1.84664i	0.716132	+	0.697965i
$8$	1.00000			0.353553
$9$	−0.666214	+	2.92509i	−0.222071	+	0.975030i
$10$	2.74011	−	1.58200i	0.866499	−	0.500274i
$11$	−4.68759	+	2.70638i	−1.41336	+	0.816006i	−0.995704	−	0.0925981i	$-0.970483\pi$
$11$	−4.68759	+	2.70638i	−1.41336	+	0.816006i	−0.417659	+	0.908604i	$0.637149\pi$
$12$	−0.632417	+	1.61247i	−0.182563	+	0.465479i
$13$		−	4.37097i		−	1.21229i	−0.795355	−	0.606144i	$-0.792716\pi$
$13$		−	4.37097i		−	1.21229i	0.795355	−	0.606144i	$-0.207284\pi$
$14$	−2.54659	+	0.717543i	−0.680605	+	0.191771i
$15$	0.818034	+	5.41883i	0.211216	+	1.39913i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	3.04438	−	1.75767i	0.738370	−	0.426298i	−0.0831064	−	0.996541i	$-0.526484\pi$
$17$	3.04438	−	1.75767i	0.738370	−	0.426298i	0.821476	+	0.570243i	$0.193151\pi$
$18$	−2.20010	−	2.03950i	−0.518568	−	0.480716i
$19$	−3.14272	+	3.02048i	−0.720990	+	0.692946i
$19$	−3.14272	+	3.02048i	−0.720990	+	0.692946i
$20$			3.16401i			0.707494i
$21$	0.453495	−	4.56008i	0.0989608	−	0.995091i
$22$		−	5.41277i		−	1.15401i
$23$	3.77616	+	2.18017i	0.787384	+	0.454596i	0.839041	−	0.544069i	$-0.183117\pi$
$23$	3.77616	+	2.18017i	0.787384	+	0.454596i	−0.0516570	+	0.998665i	$0.516450\pi$
$24$	−1.08023	−	1.35392i	−0.220501	−	0.276368i
$25$	2.50547	+	4.33961i	0.501095	+	0.867922i
$26$	3.78537	+	2.18548i	0.742372	+	0.428609i
$27$	4.68001	−	2.25776i	0.900669	−	0.434507i
$28$	0.651885	−	2.56419i	0.123195	−	0.484585i
$29$	−4.79774			−0.890918			−0.445459	−	0.895302i	$-0.646959\pi$
$29$	−4.79774			−0.890918			−0.445459	+	0.895302i	$0.646959\pi$
$30$	−5.10186	−	2.00097i	−0.931467	−	0.365326i
$31$	−0.0421785	+	0.0243518i	−0.00757548	+	0.00437371i	−0.503783	−	0.863830i	$-0.668059\pi$
$31$	−0.0421785	+	0.0243518i	−0.00757548	+	0.00437371i	0.496207	+	0.868204i	$0.334726\pi$
$32$	−0.500000	−	0.866025i	−0.0883883	−	0.153093i
$33$	8.72791	+	3.42313i	1.51933	+	0.595890i
$34$			3.51534i			0.602877i
$35$	−2.27031	−	8.05744i	−0.383753	−	1.36196i
$36$	2.86631	−	0.885587i	0.477718	−	0.147598i
$37$	3.89567	+	2.24917i	0.640444	+	0.369761i	0.784786	−	0.619767i	$-0.212773\pi$
$37$	3.89567	+	2.24917i	0.640444	+	0.369761i	−0.144341	+	0.989528i	$0.546106\pi$
$38$	−1.04445	−	4.23192i	−0.169433	−	0.686508i
$39$	−5.91795	+	4.72164i	−0.947631	+	0.756068i
$40$	−2.74011	−	1.58200i	−0.433250	−	0.250137i
$41$	11.6677			1.82218			0.911092	−	0.412203i	$-0.135241\pi$
$41$	11.6677			1.82218			0.911092	+	0.412203i	$0.135241\pi$
$42$	3.72240	+	2.67278i	0.574379	+	0.412419i
$43$	9.85672			1.50314			0.751568	−	0.659655i	$-0.229298\pi$
$43$	9.85672			1.50314			0.751568	+	0.659655i	$0.229298\pi$
$44$	4.68759	+	2.70638i	0.706682	+	0.408003i
$45$	6.45301	−	6.96112i	0.961958	−	1.03770i
$46$	−3.77616	+	2.18017i	−0.556764	+	0.321448i
$47$	4.06140	+	2.34485i	0.592416	+	0.342031i	0.766052	−	0.642779i	$-0.222218\pi$
$47$	4.06140	+	2.34485i	0.592416	+	0.342031i	−0.173637	+	0.984810i	$0.555552\pi$
$48$	1.71265	−	0.258544i	0.247199	−	0.0373176i
$49$	0.179827	+	6.99769i	0.0256896	+	0.999670i
$50$	−5.01095			−0.708655
$51$	−5.66837	−	2.22317i	−0.793731	−	0.311305i
$52$	−3.78537	+	2.18548i	−0.524936	+	0.303072i
$53$	1.75859	+	3.04596i	0.241561	+	0.418395i	0.961159	−	0.275995i	$-0.0890074\pi$
$53$	1.75859	+	3.04596i	0.241561	+	0.418395i	−0.719598	+	0.694391i	$0.755674\pi$
$54$	−0.384725	+	5.18189i	−0.0523545	+	0.705166i
$55$	17.1260			2.30928
$56$	1.89471	+	1.84664i	0.253191	+	0.246768i
$57$	7.48435	+	0.992193i	0.991327	+	0.131419i
$58$	2.39887	−	4.15496i	0.314987	−	0.545573i
$59$	2.50131	+	4.33240i	0.325643	+	0.564030i	0.981642	−	0.190731i	$-0.0610859\pi$
$59$	2.50131	+	4.33240i	0.325643	+	0.564030i	−0.655999	+	0.754762i	$0.727753\pi$
$60$	4.28382	−	3.41785i	0.553039	−	0.441243i
$61$	0.239218	−	0.414338i	0.0306287	−	0.0530505i	−0.850305	−	0.526291i	$-0.823582\pi$
$61$	0.239218	−	0.414338i	0.0306287	−	0.0530505i	0.880933	+	0.473240i	$0.156916\pi$
$62$		−	0.0487035i		−	0.00618536i
$63$	−6.66388	+	4.31193i	−0.839570	+	0.543252i
$64$	1.00000			0.125000
$65$	−6.91489	+	11.9769i	−0.857686	+	1.48556i
$66$	−7.32847	+	5.84702i	−0.902072	+	0.719719i
$67$	4.74430	−	2.73912i	0.579608	−	0.334637i	−0.181370	−	0.983415i	$-0.558053\pi$
$67$	4.74430	−	2.73912i	0.579608	−	0.334637i	0.760978	+	0.648778i	$0.224720\pi$
$68$	−3.04438	−	1.75767i	−0.369185	−	0.213149i
$69$	−1.12734	−	7.46771i	−0.135715	−	0.899006i
$70$	8.11310	+	2.06257i	0.969701	+	0.246524i
$71$	5.15864			0.612217			0.306109	−	0.951997i	$-0.400973\pi$
$71$	5.15864			0.612217			0.306109	+	0.951997i	$0.400973\pi$
$72$	−0.666214	+	2.92509i	−0.0785141	+	0.344725i
$73$	−1.15205	−	1.99540i	−0.134837	−	0.233544i	0.790698	−	0.612206i	$-0.209718\pi$
$73$	−1.15205	−	1.99540i	−0.134837	−	0.233544i	−0.925535	+	0.378662i	$0.876384\pi$
$74$	−3.89567	+	2.24917i	−0.452862	+	0.261460i
$75$	3.16901	−	8.07999i	0.365926	−	0.932997i
$76$	4.18717	+	1.21144i	0.480302	+	0.138961i
$77$	−13.8793	−	3.52851i	−1.58170	−	0.402110i
$78$	−1.13009	−	7.48592i	−0.127957	−	0.847613i
$79$	−2.81253	−	1.62381i	−0.316434	−	0.182693i	0.333368	−	0.942797i	$-0.391815\pi$
$79$	−2.81253	−	1.62381i	−0.316434	−	0.182693i	−0.649802	+	0.760103i	$0.725148\pi$
$80$	2.74011	−	1.58200i	0.306354	−	0.176873i
$81$	−8.11232	−	3.89747i	−0.901369	−	0.433053i
$82$	−5.83384	+	10.1045i	−0.644239	+	1.11586i
$83$			4.90503i			0.538396i	0.963085	+	0.269198i	$0.0867587\pi$
$83$			4.90503i			0.538396i	−0.963085	+	0.269198i	$0.913241\pi$
$84$	−4.17589	+	1.88730i	−0.455627	+	0.205922i
$85$	−11.1226			−1.20641
$86$	−4.92836	+	8.53617i	−0.531439	+	0.920479i
$87$	5.18265	+	6.49577i	0.555639	+	0.696419i
$88$	−4.68759	+	2.70638i	−0.499699	+	0.288502i
$89$	5.15324	−	8.92567i	0.546242	−	0.946119i	−0.452285	−	0.891873i	$-0.649391\pi$
$89$	5.15324	−	8.92567i	0.546242	−	0.946119i	0.998528	−	0.0542461i	$-0.0172755\pi$
$90$	2.80201	+	9.06903i	0.295357	+	0.955960i
$91$	8.07161	−	8.28170i	0.846135	−	0.868158i
$92$		−	4.36033i		−	0.454596i
$93$	0.0785328	+	0.0308010i	0.00814347	+	0.00319391i
$94$	−4.06140	+	2.34485i	−0.418901	+	0.241853i
$95$	13.3898	−	3.30466i	1.37377	−	0.339051i
$96$	−0.632417	+	1.61247i	−0.0645458	+	0.164572i
$97$			18.0918i			1.83694i	0.395487	+	0.918472i	$0.370576\pi$
$97$			18.0918i			1.83694i	−0.395487	+	0.918472i	$0.629424\pi$
$98$	−6.15009	−	3.34311i	−0.621253	−	0.337705i
$99$	−4.79348	−	15.5147i	−0.481763	−	1.55928i
$100$	2.50547	−	4.33961i	0.250547	−	0.433961i
$101$	−15.1119	+	8.72483i	−1.50369	+	0.868153i	−0.503694	+	0.863882i	$0.668026\pi$
$101$	−15.1119	+	8.72483i	−1.50369	+	0.868153i	−0.999991	+	0.00427125i	$0.998640\pi$
$102$	4.75950	−	3.79737i	0.471261	−	0.375996i
$103$	−13.7075	−	7.91404i	−1.35064	−	0.779794i	−0.362303	−	0.932060i	$-0.618009\pi$
$103$	−13.7075	−	7.91404i	−1.35064	−	0.779794i	−0.988339	+	0.152267i	$0.951343\pi$
$104$		−	4.37097i		−	0.428609i
$105$	−8.45670	+	11.7777i	−0.825289	+	1.14939i
$106$	−3.51718			−0.341618
$107$	−2.89411	+	5.01275i	−0.279784	+	0.484600i	−0.971331	−	0.237731i	$-0.923596\pi$
$107$	−2.89411	+	5.01275i	−0.279784	+	0.484600i	0.691547	+	0.722332i	$0.256930\pi$
$108$	−4.29529	−	2.92413i	−0.413314	−	0.281374i
$109$	7.16383	−	4.13604i	0.686170	−	0.396161i	−0.116005	−	0.993249i	$-0.537009\pi$
$109$	7.16383	−	4.13604i	0.686170	−	0.396161i	0.802176	+	0.597088i	$0.203676\pi$
$110$	−8.56302	+	14.8316i	−0.816452	+	1.41414i
$111$	−1.16302	−	7.70405i	−0.110389	−	0.731236i
$112$	−2.54659	+	0.717543i	−0.240630	+	0.0678015i
$113$	−20.0632			−1.88739			−0.943694	−	0.330819i	$-0.892675\pi$
$113$	−20.0632			−1.88739			−0.943694	+	0.330819i	$0.892675\pi$
$114$	−4.60144	+	5.98554i	−0.430964	+	0.560598i
$115$	−6.89807	−	11.9478i	−0.643248	−	1.11414i
$116$	2.39887	+	4.15496i	0.222729	+	0.385779i
$117$	12.7855	+	2.91200i	1.18202	+	0.269214i
$118$	−5.00262			−0.460529
$119$	9.01399	+	2.29160i	0.826311	+	0.210071i
$120$	0.818034	+	5.41883i	0.0746760	+	0.494669i
$121$	9.14903	−	15.8466i	0.831730	−	1.44060i
$122$	0.239218	+	0.414338i	0.0216578	+	0.0375124i
$123$	−12.6037	−	15.7971i	−1.13644	−	1.42438i
$124$	0.0421785	+	0.0243518i	0.00378774	+	0.00218685i
$125$		−	0.0346441i		−	0.00309866i
$126$	−0.402303	−	7.92705i	−0.0358400	−	0.706198i
$127$			13.2873i			1.17905i	0.807749	+	0.589527i	$0.200686\pi$
$127$			13.2873i			1.17905i	−0.807749	+	0.589527i	$0.799314\pi$
$128$	−0.500000	+	0.866025i	−0.0441942	+	0.0765466i
$129$	−10.6475	−	13.3452i	−0.937461	−	1.17498i
$130$	−6.91489	−	11.9769i	−0.606476	−	1.05045i
$131$	13.1060	+	7.56675i	1.14508	+	0.661110i	0.947683	−	0.319214i	$-0.103419\pi$
$131$	13.1060	+	7.56675i	1.14508	+	0.661110i	0.197394	+	0.980324i	$0.436752\pi$
$132$	−1.39944	−	9.27015i	−0.121805	−	0.806863i
$133$	−11.5323	−	0.0805545i	−0.999976	−	0.00698496i
$134$			5.47824i			0.473248i
$135$	−16.3955	−	1.21727i	−1.41110	−	0.104766i
$136$	3.04438	−	1.75767i	0.261053	−	0.150719i
$137$	15.1346	−	8.73798i	1.29304	−	0.746536i	0.313846	−	0.949474i	$-0.398382\pi$
$137$	15.1346	−	8.73798i	1.29304	−	0.746536i	0.979192	+	0.202938i	$0.0650490\pi$
$138$	7.03089	+	2.75755i	0.598509	+	0.234738i
$139$	3.81174			0.323308			0.161654	−	0.986848i	$-0.448317\pi$
$139$	3.81174			0.323308			0.161654	+	0.986848i	$0.448317\pi$
$140$	−5.84279	+	5.99487i	−0.493806	+	0.506659i
$141$	−1.21249	−	8.03179i	−0.102110	−	0.676399i
$142$	−2.57932	+	4.46751i	−0.216452	+	0.374905i
$143$	11.8295	+	20.4893i	0.989234	+	1.71340i
$144$	−2.20010	−	2.03950i	−0.183341	−	0.169959i
$145$	13.1463	+	7.59004i	1.09174	+	0.630319i
$146$	2.30409			0.190688
$147$	9.28008	−	7.80257i	0.765408	−	0.643545i
$148$		−	4.49833i		−	0.369761i
$149$	5.63489	+	3.25330i	0.461628	+	0.266521i	0.712729	−	0.701440i	$-0.247459\pi$
$149$	5.63489	+	3.25330i	0.461628	+	0.266521i	−0.251100	+	0.967961i	$0.580792\pi$
$150$	5.41297	+	6.78444i	0.441967	+	0.553947i
$151$	−7.84451	+	4.52903i	−0.638377	+	0.368567i	−0.783989	−	0.620775i	$-0.786818\pi$
$151$	−7.84451	+	4.52903i	−0.638377	+	0.368567i	0.145612	+	0.989342i	$0.453485\pi$
$152$	−3.14272	+	3.02048i	−0.254908	+	0.244993i
$153$	3.11314	+	10.0761i	0.251683	+	0.814602i
$154$	9.99545	−	10.2556i	0.805456	−	0.826421i
$155$	0.154098			0.0123775
$156$	7.04804	+	2.76428i	0.564295	+	0.221319i
$157$	−0.862063	−	1.49314i	−0.0688001	−	0.119165i	0.829573	−	0.558398i	$-0.188584\pi$
$157$	−0.862063	−	1.49314i	−0.0688001	−	0.119165i	−0.898373	+	0.439233i	$0.855250\pi$
$158$	2.81253	−	1.62381i	0.223753	−	0.129184i
$159$	2.22432	−	5.67133i	0.176400	−	0.449766i
$160$			3.16401i			0.250137i
$161$	3.12873	+	11.1040i	0.246578	+	0.875117i
$162$	7.43147	−	5.07674i	0.583871	−	0.398866i
$163$	3.97494	−	6.88481i	0.311342	−	0.539260i	−0.667311	−	0.744779i	$-0.732555\pi$
$163$	3.97494	−	6.88481i	0.311342	−	0.539260i	0.978653	+	0.205519i	$0.0658883\pi$
$164$	−5.83384	−	10.1045i	−0.455546	−	0.789029i
$165$	−18.5000	−	23.1873i	−1.44023	−	1.80513i
$166$	−4.24788	−	2.45251i	−0.329699	−	0.190352i
$167$	8.20239			0.634720			0.317360	−	0.948305i	$-0.397204\pi$
$167$	8.20239			0.634720			0.317360	+	0.948305i	$0.397204\pi$
$168$	0.453495	−	4.56008i	0.0349879	−	0.351818i
$169$	−6.10535			−0.469642
$170$	5.56129	−	9.63244i	0.426531	−	0.738774i
$171$	−6.74146	−	11.2050i	−0.515532	−	0.856870i
$172$	−4.92836	−	8.53617i	−0.375784	−	0.650877i
$173$	−0.910514	+	1.57706i	−0.0692251	+	0.119901i	−0.898560	−	0.438850i	$-0.855386\pi$
$173$	−0.910514	+	1.57706i	−0.0692251	+	0.119901i	0.829335	+	0.558751i	$0.188719\pi$
$174$	−8.21683	+	1.24042i	−0.622916	+	0.0940364i
$175$	−3.26657	+	12.8490i	−0.246929	+	0.971293i
$176$		−	5.41277i		−	0.408003i
$177$	3.16375	−	8.06656i	0.237802	−	0.606320i
$178$	5.15324	+	8.92567i	0.386252	+	0.669007i
$179$	7.56878	+	13.1095i	0.565717	+	0.979851i	0.996983	+	0.0776261i	$0.0247341\pi$
$179$	7.56878	+	13.1095i	0.565717	+	0.979851i	−0.431265	+	0.902225i	$0.641933\pi$
$180$	−9.25501	−	2.10791i	−0.689828	−	0.157114i
$181$		−	1.55088i		−	0.115276i	−0.998338	−	0.0576378i	$-0.981643\pi$
$181$		−	1.55088i		−	0.115276i	0.998338	−	0.0576378i	$-0.0183569\pi$
$182$	3.13636	+	11.1311i	0.232482	+	0.825090i
$183$	−0.819392	+	0.123697i	−0.0605712	+	0.00914392i
$184$	3.77616	+	2.18017i	0.278382	+	0.160724i
$185$	−7.11638	−	12.3259i	−0.523207	−	0.906221i
$186$	−0.0659408	+	0.0526109i	−0.00483502	+	0.00385762i
$187$	−9.51387	+	16.4785i	−0.695723	+	1.20503i
$188$		−	4.68970i		−	0.342031i
$189$	13.0365	+	4.36451i	0.948268	+	0.317471i
$190$	−3.83299	+	13.2483i	−0.278075	+	0.961129i
$191$	5.90541	+	3.40949i	0.427301	+	0.246702i	0.698196	−	0.715907i	$-0.253986\pi$
$191$	5.90541	+	3.40949i	0.427301	+	0.246702i	−0.270895	+	0.962609i	$0.587320\pi$
$192$	−1.08023	−	1.35392i	−0.0779588	−	0.0977110i
$193$	−20.0230	+	11.5603i	−1.44128	+	0.832126i	−0.997936	−	0.0642228i	$-0.979543\pi$
$193$	−20.0230	+	11.5603i	−1.44128	+	0.832126i	−0.443349	+	0.896349i	$0.646210\pi$
$194$	−15.6680	−	9.04590i	−1.12489	−	0.649457i
$195$	23.6855	−	3.57560i	1.69615	−	0.256054i
$196$	5.97026	−	3.65458i	0.426447	−	0.261041i
$197$		−	2.20107i		−	0.156820i	−0.996921	−	0.0784100i	$-0.975016\pi$
$197$		−	2.20107i		−	0.156820i	0.996921	−	0.0784100i	$-0.0249843\pi$
$198$	15.8328	+	3.60606i	1.12519	+	0.256272i
$199$	3.23984	+	5.61156i	0.229666	+	0.397793i	0.957709	−	0.287738i	$-0.0929033\pi$
$199$	3.23984	+	5.61156i	0.229666	+	0.397793i	−0.728043	+	0.685531i	$0.759570\pi$
$200$	2.50547	+	4.33961i	0.177164	+	0.306857i
$201$	−8.83348	−	3.46454i	−0.623066	−	0.244370i
$202$		−	17.4497i		−	1.22775i
$203$	−9.09031	−	8.85971i	−0.638015	−	0.621829i
$204$	0.908870	+	6.02054i	0.0636336	+	0.421522i
$205$	−31.9707	−	18.4583i	−2.23293	−	1.28918i
$206$	13.7075	−	7.91404i	0.955048	−	0.551397i
$207$	−8.89292	+	9.59315i	−0.618100	+	0.666770i
$208$	3.78537	+	2.18548i	0.262468	+	0.151536i
$209$	6.55722	−	22.6642i	0.453572	−	1.56772i
$210$	−5.97144	−	13.2126i	−0.412069	−	0.911754i
$211$			23.2601i			1.60129i	0.599140	+	0.800644i	$0.295509\pi$
$211$			23.2601i			1.60129i	−0.599140	+	0.800644i	$0.704491\pi$
$212$	1.75859	−	3.04596i	0.120780	−	0.209198i
$213$	−5.57250	−	6.98440i	−0.381822	−	0.478563i
$214$	−2.89411	−	5.01275i	−0.197837	−	0.342664i
$215$	−27.0085	−	15.5934i	−1.84197	−	1.06346i
$216$	4.68001	−	2.25776i	0.318434	−	0.153621i
$217$	−0.124885	−	0.0317491i	−0.00847774	−	0.00215527i
$218$			8.27208i			0.560256i
$219$	−1.45715	+	3.71527i	−0.0984649	+	0.251055i
$220$	−8.56302	−	14.8316i	−0.577319	−	0.999946i
$221$	−7.68273	−	13.3069i	−0.516796	−	0.895117i
$222$	7.25341	+	2.84482i	0.486817	+	0.190932i
$223$		−	20.3040i		−	1.35966i	−0.733370	−	0.679830i	$-0.762054\pi$
$223$		−	20.3040i		−	1.35966i	0.733370	−	0.679830i	$-0.237946\pi$
$224$	0.651885	−	2.56419i	0.0435559	−	0.171327i
$225$	−14.3629	+	4.43763i	−0.957529	+	0.295842i
$226$	10.0316	−	17.3753i	0.667293	−	1.15578i
$227$	0.910098	+	1.57634i	0.0604053	+	0.104625i	0.894647	−	0.446774i	$-0.147427\pi$
$227$	0.910098	+	1.57634i	0.0604053	+	0.104625i	−0.834241	+	0.551400i	$0.814094\pi$
$228$	−2.88291	−	6.97774i	−0.190926	−	0.462112i
$229$	−1.30087	+	2.25318i	−0.0859640	+	0.148894i	−0.905802	−	0.423702i	$-0.860730\pi$
$229$	−1.30087	+	2.25318i	−0.0859640	+	0.148894i	0.819838	+	0.572596i	$0.194064\pi$
$230$	13.7961			0.909690
$231$	10.2155	+	22.6031i	0.672133	+	1.48718i
$232$	−4.79774			−0.314987
$233$	1.66391	+	0.960657i	0.109006	+	0.0629347i	0.553512	−	0.832841i	$-0.313287\pi$
$233$	1.66391	+	0.960657i	0.109006	+	0.0629347i	−0.444506	+	0.895776i	$0.646621\pi$
$234$	−8.91460	+	9.61655i	−0.582766	+	0.628653i
$235$	−7.41912	−	12.8503i	−0.483970	−	0.838261i
$236$	2.50131	−	4.33240i	0.162822	−	0.282015i
$237$	0.839654	+	5.56204i	0.0545414	+	0.361293i
$238$	−6.49158	+	6.66055i	−0.420787	+	0.431739i
$239$			21.1285i			1.36669i	0.730096	+	0.683344i	$0.239475\pi$
$239$			21.1285i			1.36669i	−0.730096	+	0.683344i	$0.760525\pi$
$240$	−5.10186	−	2.00097i	−0.329323	−	0.129162i
$241$	22.9630	−	13.2577i	1.47918	−	0.854003i	0.479455	−	0.877567i	$-0.340834\pi$
$241$	22.9630	−	13.2577i	1.47918	−	0.854003i	0.999722	+	0.0235634i	$0.00750116\pi$
$242$	9.14903	+	15.8466i	0.588122	+	1.01866i
$243$	3.48627	+	15.1936i	0.223645	+	0.974671i
$244$	−0.478436			−0.0306287
$245$	10.5776	−	19.4589i	0.675780	−	1.24319i
$246$	19.9826	−	3.01660i	1.27404	−	0.192332i
$247$	13.2024	+	13.7367i	0.840050	+	0.874047i
$248$	−0.0421785	+	0.0243518i	−0.00267834	+	0.00154634i
$249$	6.64103	−	5.29855i	0.420858	−	0.335782i
$250$	0.0300027	+	0.0173220i	0.00189754	+	0.00109554i
$251$			15.9433i			1.00633i	0.864190	+	0.503165i	$0.167831\pi$
$251$			15.9433i			1.00633i	−0.864190	+	0.503165i	$0.832169\pi$
$252$	7.06618	+	3.61512i	0.445128	+	0.227731i
$253$	−23.6015			−1.48381
$254$	−11.5071	−	6.64363i	−0.722020	−	0.416858i
$255$	12.0149	+	15.0591i	0.752404	+	0.943038i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−2.96898	+	5.14243i	−0.185200	+	0.320776i	−0.943644	−	0.330963i	$-0.892627\pi$
$257$	−2.96898	+	5.14243i	−0.185200	+	0.320776i	0.758444	+	0.651738i	$0.225960\pi$
$258$	16.8811	−	2.54839i	1.05097	−	0.158656i
$259$	3.22775	+	11.4554i	0.200562	+	0.711805i
$260$	13.8298			0.857686
$261$	3.19632	−	14.0338i	0.197847	−	0.868672i
$262$	−13.1060	+	7.56675i	−0.809691	+	0.467475i
$263$	6.51788	−	3.76310i	0.401910	−	0.232043i	−0.285398	−	0.958409i	$-0.592126\pi$
$263$	6.51788	−	3.76310i	0.401910	−	0.232043i	0.687308	+	0.726366i	$0.258792\pi$
$264$	8.72791	+	3.42313i	0.537166	+	0.210679i
$265$		−	11.1284i		−	0.683611i
$266$	5.83590	−	9.94697i	0.357822	−	0.609888i
$267$	−17.6513	+	2.66467i	−1.08024	+	0.163075i
$268$	−4.74430	−	2.73912i	−0.289804	−	0.167318i
$269$	−11.7210	−	20.3013i	−0.714641	−	1.23779i	−0.963098	−	0.269152i	$-0.913257\pi$
$269$	−11.7210	−	20.3013i	−0.714641	−	1.23779i	0.248457	−	0.968643i	$-0.420077\pi$
$270$	9.25196	−	13.5903i	0.563056	−	0.827081i
$271$	10.7091	−	18.5487i	0.650530	−	1.12675i	−0.332464	−	0.943116i	$-0.607880\pi$
$271$	10.7091	−	18.5487i	0.650530	−	1.12675i	0.982994	−	0.183636i	$-0.0587867\pi$
$272$			3.51534i			0.213149i
$273$	−19.9320	−	1.98221i	−1.20634	−	0.119969i
$274$			17.4760i			1.05576i
$275$	−23.4893	−	13.5616i	−1.41646	−	0.817793i
$276$	−5.90355	+	4.71015i	−0.355352	+	0.283518i
$277$	8.07583	+	13.9878i	0.485230	+	0.840443i	0.999856	−	0.0169720i	$-0.00540261\pi$
$277$	8.07583	+	13.9878i	0.485230	+	0.840443i	−0.514626	+	0.857415i	$0.672069\pi$
$278$	−1.90587	+	3.30106i	−0.114306	+	0.197985i
$279$	−0.0431312	−	0.139599i	−0.00258220	−	0.00835760i
$280$	−2.27031	−	8.05744i	−0.135677	−	0.481524i
$281$	−27.8861			−1.66355			−0.831773	−	0.555116i	$-0.812674\pi$
$281$	−27.8861			−1.66355			−0.831773	+	0.555116i	$0.812674\pi$
$282$	7.56198	+	2.96585i	0.450309	+	0.176614i
$283$	−8.11491	−	14.0554i	−0.482382	−	0.835509i	0.517414	−	0.855735i	$-0.326895\pi$
$283$	−8.11491	−	14.0554i	−0.482382	−	0.835509i	−0.999795	+	0.0202259i	$0.993561\pi$
$284$	−2.57932	−	4.46751i	−0.153054	−	0.265098i
$285$	−18.9383	−	14.5590i	−1.12181	−	0.862401i
$286$	−23.6590			−1.39899
$287$	22.1068	+	21.5460i	1.30492	+	1.27182i
$288$	2.86631	−	0.885587i	0.168899	−	0.0521837i
$289$	−2.32118	+	4.02040i	−0.136540	+	0.236494i
$290$	−13.1463	+	7.59004i	−0.771980	+	0.445703i
$291$	24.4949	−	19.5433i	1.43592	−	1.14565i
$292$	−1.15205	+	1.99540i	−0.0674184	+	0.116772i
$293$	−12.6869			−0.741178			−0.370589	−	0.928797i	$-0.620844\pi$
$293$	−12.6869			−0.741178			−0.370589	+	0.928797i	$0.620844\pi$
$294$	2.11719	+	11.9381i	0.123477	+	0.696242i
$295$		−	15.8283i		−	0.921562i
$296$	3.89567	+	2.24917i	0.226431	+	0.130730i
$297$	−15.8276	+	23.2494i	−0.918412	+	1.34907i
$298$	−5.63489	+	3.25330i	−0.326420	+	0.188459i
$299$	9.52944	−	16.5055i	0.551101	−	0.954536i
$300$	−8.58198	+	1.29555i	−0.495481	+	0.0747986i
$301$	18.6756	+	18.2018i	1.07644	+	1.04914i
$302$		−	9.05806i		−	0.521233i
$303$	28.1370	+	11.0355i	1.61643	+	0.633971i
$304$	−1.04445	−	4.23192i	−0.0599035	−	0.242717i
$305$	−1.31097	+	0.756888i	−0.0750658	+	0.0433393i
$306$	−10.2827	−	2.34197i	−0.587823	−	0.133882i
$307$			0.419187i			0.0239242i	0.999928	+	0.0119621i	$0.00380775\pi$
$307$			0.419187i			0.0239242i	−0.999928	+	0.0119621i	$0.996192\pi$
$308$	3.88390	+	13.7841i	0.221305	+	0.785423i
$309$	4.09225	+	27.1079i	0.232800	+	1.54211i
$310$	−0.0770492	+	0.133453i	−0.00437610	+	0.00757963i
$311$	4.32711	−	2.49826i	0.245368	−	0.141663i	−0.372273	−	0.928123i	$-0.621422\pi$
$311$	4.32711	−	2.49826i	0.245368	−	0.141663i	0.617641	+	0.786460i	$0.288088\pi$
$312$	−5.91795	+	4.72164i	−0.335038	+	0.267310i
$313$	−11.6571	+	20.1907i	−0.658900	+	1.14125i	0.322001	+	0.946739i	$0.395645\pi$
$313$	−11.6571	+	20.1907i	−0.658900	+	1.14125i	−0.980901	+	0.194509i	$0.937689\pi$
$314$	1.72413			0.0972980
$315$	25.0813	−	1.27289i	1.41317	−	0.0717193i
$316$			3.24763i			0.182693i
$317$	5.57956	−	9.66409i	0.313380	−	0.542789i	−0.665712	−	0.746209i	$-0.731872\pi$
$317$	5.57956	−	9.66409i	0.313380	−	0.542789i	0.979092	+	0.203419i	$0.0652055\pi$
$318$	3.79935	+	4.76199i	0.213057	+	0.267039i
$319$	22.4899	−	12.9845i	1.25919	−	0.726994i
$320$	−2.74011	−	1.58200i	−0.153177	−	0.0884367i
$321$	9.91317	−	1.49651i	0.553299	−	0.0835269i
$322$	−11.1807	−	2.84244i	−0.623076	−	0.158403i
$323$	−4.25861	+	14.7194i	−0.236956	+	0.819007i
$324$	0.680847	+	8.97421i	0.0378248	+	0.498567i
$325$	18.9683	−	10.9513i	1.05217	−	0.607471i
$326$	3.97494	+	6.88481i	0.220152	+	0.381314i
$327$	−13.3384	−	5.23141i	−0.737618	−	0.289297i
$328$	11.6677			0.644239
$329$	3.36506	+	11.9427i	0.185522	+	0.658425i
$330$	29.3308	−	4.42783i	1.61461	−	0.243744i
$331$	2.08921	+	1.20621i	0.114833	+	0.0662991i	0.556317	−	0.830970i	$-0.312214\pi$
$331$	2.08921	+	1.20621i	0.114833	+	0.0662991i	−0.441483	+	0.897270i	$0.645548\pi$
$332$	4.24788	−	2.45251i	0.233133	−	0.134599i
$333$	−9.17437	+	9.89676i	−0.502752	+	0.542339i
$334$	−4.10120	+	7.10348i	−0.224408	+	0.388685i
$335$	−17.3332			−0.947014
$336$	3.72240	+	2.67278i	0.203073	+	0.145812i
$337$		−	12.4305i		−	0.677131i	−0.940943	−	0.338565i	$-0.890058\pi$
$337$		−	12.4305i		−	0.677131i	0.940943	−	0.338565i	$-0.109942\pi$
$338$	3.05267	−	5.28739i	0.166044	−	0.287596i
$339$	21.6729	+	27.1640i	1.17711	+	1.47535i
$340$	5.56129	+	9.63244i	0.301603	+	0.522392i
$341$	0.131810	−	0.228302i	0.00713794	−	0.0123633i
$342$	13.0746	−	0.235757i	0.706992	−	0.0127483i
$343$	−12.5815	+	13.5906i	−0.679338	+	0.733826i
$344$	9.85672			0.531439
$345$	−8.72491	+	22.2458i	−0.469734	+	1.19767i
$346$	−0.910514	−	1.57706i	−0.0489495	−	0.0847831i
$347$	2.60696	−	1.50513i	0.139949	−	0.0807995i	−0.428391	−	0.903594i	$-0.640919\pi$
$347$	2.60696	−	1.50513i	0.139949	−	0.0807995i	0.568340	+	0.822794i	$0.307586\pi$
$348$	3.03417	−	7.73619i	0.162649	−	0.414703i
$349$	30.6024			1.63811			0.819054	−	0.573716i	$-0.194499\pi$
$349$	30.6024			1.63811			0.819054	+	0.573716i	$0.194499\pi$
$350$	−9.49428	−	9.25343i	−0.507491	−	0.494617i
$351$	−9.86861	−	20.4562i	−0.526747	−	1.09187i
$352$	4.68759	+	2.70638i	0.249850	+	0.144251i
$353$	10.8604	−	6.27026i	0.578041	−	0.333732i	−0.182313	−	0.983241i	$-0.558358\pi$
$353$	10.8604	−	6.27026i	0.578041	−	0.333732i	0.760355	+	0.649508i	$0.225025\pi$
$354$	5.40398	+	6.77317i	0.287218	+	0.359990i
$355$	−14.1352	−	8.16098i	−0.750221	−	0.433140i
$356$	−10.3065			−0.546242
$357$	−6.63452	−	14.6797i	−0.351136	−	0.776932i
$358$	−15.1376			−0.800045
$359$	−0.641694	−	0.370482i	−0.0338673	−	0.0195533i	0.482971	−	0.875636i	$-0.339558\pi$
$359$	−0.641694	−	0.370482i	−0.0338673	−	0.0195533i	−0.516838	+	0.856083i	$0.672891\pi$
$360$	6.45301	−	6.96112i	0.340103	−	0.366883i
$361$	0.753389	−	18.9851i	0.0396520	−	0.999214i
$362$	1.34310	+	0.775438i	0.0705916	+	0.0407561i
$363$	−31.3381	+	4.73085i	−1.64482	+	0.248305i
$364$	−11.2080	−	2.84937i	−0.587457	−	0.149348i
$365$			7.29016i			0.381585i
$366$	0.302571	−	0.771462i	0.0158157	−	0.0403250i
$367$	7.09660	+	12.2917i	0.370440	+	0.641620i	0.989633	−	0.143618i	$-0.0458737\pi$
$367$	7.09660	+	12.2917i	0.370440	+	0.641620i	−0.619193	+	0.785238i	$0.712540\pi$
$368$	−3.77616	+	2.18017i	−0.196846	+	0.113649i
$369$	−7.77317	+	34.1290i	−0.404655	+	1.77668i
$370$	14.2328			0.739926
$371$	−2.29280	+	9.01869i	−0.119036	+	0.468227i
$372$	−0.0125920	−	0.0834119i	−0.000652864	−	0.00432471i
$373$	21.8335	+	12.6056i	1.13050	+	0.652693i	0.944060	−	0.329774i	$-0.106973\pi$
$373$	21.8335	+	12.6056i	1.13050	+	0.652693i	0.186437	+	0.982467i	$0.440306\pi$
$374$	−9.51387	−	16.4785i	−0.491951	−	0.852083i
$375$	−0.0469054	+	0.0374235i	−0.00242219	+	0.00193254i
$376$	4.06140	+	2.34485i	0.209451	+	0.120926i
$377$			20.9708i			1.08005i
$378$	−10.2980	+	9.10771i	−0.529674	+	0.468450i
$379$			11.5132i			0.591391i	0.955282	+	0.295696i	$0.0955514\pi$
$379$			11.5132i			0.591391i	−0.955282	+	0.295696i	$0.904449\pi$
$380$	−9.55683	−	9.94360i	−0.490255	−	0.510096i
$381$	17.9899	−	14.3533i	0.921652	−	0.735340i
$382$	−5.90541	+	3.40949i	−0.302147	+	0.174445i
$383$	12.2078	−	21.1446i	0.623791	−	1.08044i	−0.364983	−	0.931014i	$-0.618925\pi$
$383$	12.2078	−	21.1446i	0.623791	−	1.08044i	0.988773	−	0.149423i	$-0.0477415\pi$
$384$	1.71265	−	0.258544i	0.0873981	−	0.0131937i
$385$	32.4488	+	31.6257i	1.65375	+	1.61179i
$386$		−	23.1205i		−	1.17680i
$387$	−6.56669	+	28.8318i	−0.333804	+	1.46560i
$388$	15.6680	−	9.04590i	0.795420	−	0.459236i
$389$	−23.3828	+	13.5001i	−1.18556	+	0.684481i	−0.957293	−	0.289118i	$-0.906638\pi$
$389$	−23.3828	+	13.5001i	−1.18556	+	0.684481i	−0.228263	+	0.973600i	$0.573305\pi$
$390$	−8.74619	+	22.3000i	−0.442881	+	1.12921i
$391$	15.3281			0.775174
$392$	0.179827	+	6.99769i	0.00908264	+	0.353437i
$393$	−3.91267	−	25.9183i	−0.197368	−	1.30741i
$394$	1.90619	+	1.10054i	0.0960322	+	0.0554442i
$395$	5.13776	+	8.89887i	0.258509	+	0.447751i
$396$	−11.0394	+	11.9086i	−0.554749	+	0.598430i
$397$	−8.64453	+	14.9728i	−0.433857	+	0.751462i	−0.997202	−	0.0747600i	$-0.976181\pi$
$397$	−8.64453	+	14.9728i	−0.433857	+	0.751462i	0.563345	+	0.826222i	$0.309514\pi$
$398$	−6.47967			−0.324797
$399$	12.3484	+	15.7008i	0.618195	+	0.786025i
$400$	−5.01095			−0.250547
$401$	0.482762	−	0.836168i	0.0241080	−	0.0417562i	−0.853720	−	0.520733i	$-0.825659\pi$
$401$	0.482762	−	0.836168i	0.0241080	−	0.0417562i	0.877828	+	0.478977i	$0.158992\pi$
$402$	7.41712	−	5.91775i	0.369932	−	0.295151i
$403$	0.106441	+	0.184361i	0.00530219	+	0.00918367i
$404$	15.1119	+	8.72483i	0.751843	+	0.434077i
$405$	16.0628	+	23.5132i	0.798169	+	1.16838i
$406$	12.2179	−	3.44258i	0.606363	−	0.170853i
$407$	−24.3484			−1.20691
$408$	−5.66837	−	2.22317i	−0.280626	−	0.110063i
$409$	−15.0977	+	8.71669i	−0.746536	+	0.431013i	−0.824441	−	0.565948i	$-0.808510\pi$
$409$	−15.0977	+	8.71669i	−0.746536	+	0.431013i	0.0779052	+	0.996961i	$0.475177\pi$
$410$	31.9707	−	18.4583i	1.57892	−	0.911591i
$411$	−28.1794	−	11.0521i	−1.38999	−	0.545160i
$412$			15.8281i			0.779794i
$413$	−3.26114	+	12.8277i	−0.160470	+	0.631208i
$414$	−3.86146	−	12.4981i	−0.189780	−	0.614247i
$415$	7.75977	−	13.4403i	0.380912	−	0.659759i
$416$	−3.78537	+	2.18548i	−0.185593	+	0.107152i
$417$	−4.11755	−	5.16080i	−0.201637	−	0.252726i
$418$	16.3492	+	17.0108i	0.799664	+	0.832026i
$419$			15.3308i			0.748958i	0.927235	+	0.374479i	$0.122178\pi$
$419$			15.3308i			0.748958i	−0.927235	+	0.374479i	$0.877822\pi$
$420$	14.4281	+	1.43486i	0.704021	+	0.0700141i
$421$		−	32.6724i		−	1.59236i	−0.605062	−	0.796179i	$-0.706852\pi$
$421$		−	32.6724i		−	1.59236i	0.605062	−	0.796179i	$-0.293148\pi$
$422$	−20.1438	−	11.6300i	−0.980585	−	0.566141i
$423$	−9.56466	+	10.3178i	−0.465049	+	0.501668i
$424$	1.75859	+	3.04596i	0.0854046	+	0.147925i
$425$	15.2552	+	8.80761i	0.739987	+	0.427232i
$426$	8.83492	−	1.33373i	0.428053	−	0.0646195i
$427$	1.21838	−	0.343299i	0.0589616	−	0.0166134i
$428$	5.78822			0.279784
$429$	14.9624	−	38.1494i	0.722391	−	1.84187i
$430$	27.0085	−	15.5934i	1.30247	−	0.751980i
$431$	0.992332	+	1.71877i	0.0477989	+	0.0827902i	0.888935	−	0.458033i	$-0.151446\pi$
$431$	0.992332	+	1.71877i	0.0477989	+	0.0827902i	−0.841136	+	0.540824i	$0.818113\pi$
$432$	−0.384725	+	5.18189i	−0.0185101	+	0.249314i
$433$			22.6783i			1.08985i	0.838485	+	0.544924i	$0.183442\pi$
$433$			22.6783i			1.08985i	−0.838485	+	0.544924i	$0.816558\pi$
$434$	0.0899380	−	0.0922789i	0.00431716	−	0.00442953i
$435$	−3.92471	−	25.9981i	−0.188176	−	1.24651i
$436$	−7.16383	−	4.13604i	−0.343085	−	0.198080i
$437$	−18.4526	+	4.55416i	−0.882706	+	0.217855i
$438$	−2.48894	−	3.11956i	−0.118926	−	0.149058i
$439$	2.42953	+	1.40269i	0.115955	+	0.0669468i	0.556856	−	0.830609i	$-0.312008\pi$
$439$	2.42953	+	1.40269i	0.115955	+	0.0669468i	−0.440901	+	0.897556i	$0.645341\pi$
$440$	17.1260			0.816452
$441$	−20.5887	−	4.13595i	−0.980414	−	0.196950i
$442$	15.3655			0.730860
$443$	21.3943	+	12.3520i	1.01647	+	0.586861i	0.913080	−	0.407779i	$-0.133697\pi$
$443$	21.3943	+	12.3520i	1.01647	+	0.586861i	0.103393	+	0.994641i	$0.467030\pi$
$444$	−6.09040	+	4.85923i	−0.289037	+	0.230609i
$445$	−28.2409	+	16.3049i	−1.33875	+	0.772926i
$446$	17.5838	+	10.1520i	0.832618	+	0.480712i
$447$	−1.68224	−	11.1435i	−0.0795673	−	0.527070i
$448$	1.89471	+	1.84664i	0.0895165	+	0.0872456i
$449$	−12.4692			−0.588460			−0.294230	−	0.955735i	$-0.595063\pi$
$449$	−12.4692			−0.588460			−0.294230	+	0.955735i	$0.595063\pi$
$450$	3.33837	−	14.6575i	0.157372	−	0.690960i
$451$	−54.6933	+	31.5772i	−2.57541	+	1.48691i
$452$	10.0316	+	17.3753i	0.471847	+	0.817263i
$453$	14.6058	+	5.72847i	0.686241	+	0.269147i
$454$	−1.82020			−0.0854260
$455$	−35.2188	+	9.92346i	−1.65108	+	0.465219i
$456$	7.48435	+	0.992193i	0.350487	+	0.0464637i
$457$	−7.62887	+	13.2136i	−0.356863	+	0.618105i	−0.987435	−	0.158026i	$-0.949487\pi$
$457$	−7.62887	+	13.2136i	−0.356863	+	0.618105i	0.630572	+	0.776131i	$0.282820\pi$
$458$	−1.30087	−	2.25318i	−0.0607857	−	0.105284i
$459$	10.2793	−	15.0994i	0.479797	−	0.704780i
$460$	−6.89807	+	11.9478i	−0.321624	+	0.557069i
$461$		−	33.9540i		−	1.58139i	−0.612208	−	0.790697i	$-0.709718\pi$
$461$		−	33.9540i		−	1.58139i	0.612208	−	0.790697i	$-0.290282\pi$
$462$	−24.6827	−	2.45466i	−1.14834	−	0.114201i
$463$	37.0043			1.71974			0.859869	−	0.510515i	$-0.170545\pi$
$463$	37.0043			1.71974			0.859869	+	0.510515i	$0.170545\pi$
$464$	2.39887	−	4.15496i	0.111365	−	0.192889i
$465$	−0.166461	−	0.208637i	−0.00771946	−	0.00967532i
$466$	−1.66391	+	0.960657i	−0.0770790	+	0.0445016i
$467$	−18.3407	−	10.5890i	−0.848708	−	0.490002i	0.0115070	−	0.999934i	$-0.496337\pi$
$467$	−18.3407	−	10.5890i	−0.848708	−	0.490002i	−0.860215	+	0.509932i	$0.829670\pi$
$468$	−3.87087	−	12.5285i	−0.178931	−	0.579132i
$469$	14.0472	+	3.57119i	0.648641	+	0.164902i
$470$	14.8382			0.684437
$471$	−1.09037	+	2.78009i	−0.0502415	+	0.128100i
$472$	2.50131	+	4.33240i	0.115132	+	0.199415i
$473$	−46.2043	+	26.6761i	−2.12448	+	1.22657i
$474$	−5.23669	−	2.05386i	−0.240529	−	0.0943368i
$475$	−20.9817	−	6.07044i	−0.962707	−	0.278531i
$476$	−2.52241	−	8.95215i	−0.115615	−	0.410321i
$477$	−10.0813	+	3.11477i	−0.461592	+	0.142615i
$478$	−18.2978	−	10.5642i	−0.836923	−	0.483197i
$479$	3.65838	−	2.11217i	0.167156	−	0.0965074i	−0.414088	−	0.910237i	$-0.635900\pi$
$479$	3.65838	−	2.11217i	0.167156	−	0.0965074i	0.581244	+	0.813729i	$0.302566\pi$
$480$	4.28382	−	3.41785i	0.195529	−	0.156003i
$481$	9.83103	−	17.0278i	0.448256	−	0.776403i
$482$			26.5154i			1.20774i
$483$	11.6542	−	16.2309i	0.530285	−	0.738531i
$484$	−18.2981			−0.831730
$485$	28.6213	−	49.5735i	1.29963	−	2.25102i
$486$	−14.9012	−	4.57760i	−0.675932	−	0.207644i
$487$	−1.53299	+	0.885072i	−0.0694664	+	0.0401064i	−0.534331	−	0.845275i	$-0.679436\pi$
$487$	−1.53299	+	0.885072i	−0.0694664	+	0.0401064i	0.464865	+	0.885382i	$0.346103\pi$
$488$	0.239218	−	0.414338i	0.0108289	−	0.0187562i
$489$	−13.6153	+	2.05539i	−0.615707	+	0.0929481i
$490$	11.5631	+	18.8900i	0.522369	+	0.853362i
$491$			1.22724i			0.0553846i	0.999616	+	0.0276923i	$0.00881586\pi$
$491$			1.22724i			0.0553846i	−0.999616	+	0.0276923i	$0.991184\pi$
$492$	−7.37884	+	18.8137i	−0.332664	+	0.848188i
$493$	−14.6061	+	8.43285i	−0.657827	+	0.379797i
$494$	−18.4976	+	4.56527i	−0.832245	+	0.205401i
$495$	−11.4096	+	50.0952i	−0.512824	+	2.25161i
$496$		−	0.0487035i		−	0.00218685i
$497$	9.77410	+	9.52615i	0.438428	+	0.427306i
$498$	1.26816	+	8.40057i	0.0568277	+	0.376439i
$499$	1.82984	−	3.16938i	0.0819150	−	0.141881i	−0.822157	−	0.569260i	$-0.807230\pi$
$499$	1.82984	−	3.16938i	0.0819150	−	0.141881i	0.904072	+	0.427379i	$0.140563\pi$
$500$	−0.0300027	+	0.0173220i	−0.00134176	+	0.000774666i
$501$	−8.86046	−	11.1054i	−0.395856	−	0.496153i
$502$	−13.8073	−	7.97164i	−0.616249	−	0.355792i
$503$		−	34.8443i		−	1.55363i	−0.629729	−	0.776815i	$-0.716834\pi$
$503$		−	34.8443i		−	1.55363i	0.629729	−	0.776815i	$-0.283166\pi$
$504$	−6.66388	+	4.31193i	−0.296833	+	0.192069i
$505$	55.2109			2.45685
$506$	11.8007	−	20.4395i	0.524607	−	0.908645i
$507$	6.59517	+	8.26617i	0.292902	+	0.367114i
$508$	11.5071	−	6.64363i	0.510545	−	0.294763i
$509$	17.2532	−	29.8834i	0.764734	−	1.32456i	−0.175654	−	0.984452i	$-0.556204\pi$
$509$	17.2532	−	29.8834i	0.764734	−	1.32456i	0.940387	−	0.340106i	$-0.110463\pi$
$510$	−19.0490	+	2.87567i	−0.843506	+	0.127337i
$511$	1.50200	−	5.90811i	0.0664447	−	0.261360i
$512$	1.00000			0.0441942
$513$	−7.88844	+	21.2314i	−0.348283	+	0.937389i
$514$	−2.96898	−	5.14243i	−0.130956	−	0.226823i
$515$	25.0401	+	43.3707i	1.10340	+	1.91114i
$516$	−6.23357	+	15.8936i	−0.274417	+	0.699678i
$517$	−25.3842			−1.11640
$518$	−11.5346	−	2.93240i	−0.506799	−	0.128842i
$519$	3.11878	−	0.470815i	0.136899	−	0.0206665i
$520$	−6.91489	+	11.9769i	−0.303238	+	0.525223i
$521$	17.8687	+	30.9496i	0.782844	+	1.35593i	0.930279	+	0.366854i	$0.119565\pi$
$521$	17.8687	+	30.9496i	0.782844	+	1.35593i	−0.147435	+	0.989072i	$0.547102\pi$
$522$	10.5555	+	9.78501i	0.462001	+	0.428278i
$523$	11.6140	+	6.70536i	0.507846	+	0.293205i	0.731948	−	0.681361i	$-0.238611\pi$
$523$	11.6140	+	6.70536i	0.507846	+	0.293205i	−0.224102	+	0.974566i	$0.571945\pi$
$524$		−	15.1335i		−	0.661110i
$525$	20.9252	−	9.45718i	0.913250	−	0.412745i
$526$			7.52620i			0.328158i
$527$	−0.0856048	+	0.148272i	−0.00372901	+	0.00645883i
$528$	−7.32847	+	5.84702i	−0.318931	+	0.254459i
$529$	−1.99375	−	3.45327i	−0.0866847	−	0.150142i
$530$	9.63746	+	5.56419i	0.418624	+	0.241693i
$531$	−14.3391	+	4.43026i	−0.622263	+	0.192257i
$532$	5.69638	+	10.0275i	0.246969	+	0.434748i
$533$		−	50.9990i		−	2.20901i
$534$	6.51800	−	16.6189i	0.282061	−	0.719168i
$535$	15.8604	−	9.15699i	0.685704	−	0.395891i
$536$	4.74430	−	2.73912i	0.204922	−	0.118312i
$537$	9.57326	−	24.4088i	0.413117	−	1.05332i
$538$	23.4420			1.01066
$539$	−19.7814	−	32.3157i	−0.852045	−	1.39193i
$540$	7.14358	+	14.8076i	0.307411	+	0.637217i
$541$	3.03710	−	5.26041i	0.130575	−	0.226162i	−0.793323	−	0.608800i	$-0.791651\pi$
$541$	3.03710	−	5.26041i	0.130575	−	0.226162i	0.923898	+	0.382638i	$0.124984\pi$
$542$	10.7091	+	18.5487i	0.459994	+	0.796734i
$543$	−2.09977	+	1.67530i	−0.0901096	+	0.0718940i
$544$	−3.04438	−	1.75767i	−0.130527	−	0.0753596i
$545$	−26.1729			−1.12112
$546$	11.6826	−	16.2705i	0.499970	−	0.696312i
$547$			9.10634i			0.389359i	0.980867	+	0.194680i	$0.0623667\pi$
$547$			9.10634i			0.389359i	−0.980867	+	0.194680i	$0.937633\pi$
$548$	−15.1346	−	8.73798i	−0.646519	−	0.373268i
$549$	1.05261	+	0.975773i	0.0449241	+	0.0416450i
$550$	23.4893	−	13.5616i	1.00159	−	0.578267i
$551$	15.0780	−	14.4915i	0.642342	−	0.617358i
$552$	−1.12734	−	7.46771i	−0.0479826	−	0.317847i
$553$	−2.33031	−	8.27039i	−0.0990950	−	0.351693i
$554$	−16.1517			−0.686219
$555$	−9.00105	+	22.9499i	−0.382073	+	0.974167i
$556$	−1.90587	−	3.30106i	−0.0808269	−	0.139996i
$557$	38.6690	−	22.3256i	1.63846	−	0.945965i	0.657095	−	0.753808i	$-0.271785\pi$
$557$	38.6690	−	22.3256i	1.63846	−	0.945965i	0.981364	−	0.192157i	$-0.0615484\pi$
$558$	0.142462	+	0.0324470i	0.00603091	+	0.00137359i
$559$		−	43.0834i		−	1.82223i
$560$	8.11310	+	2.06257i	0.342841	+	0.0871595i
$561$	32.5878	−	4.91950i	1.37586	−	0.207702i
$562$	13.9431	−	24.1501i	0.588152	−	1.01871i
$563$	−12.9271	−	22.3904i	−0.544813	−	0.943645i	−0.998619	−	0.0525437i	$-0.983267\pi$
$563$	−12.9271	−	22.3904i	−0.544813	−	0.943645i	0.453805	−	0.891101i	$-0.350066\pi$
$564$	−6.34949	+	5.06594i	−0.267362	+	0.213315i
$565$	54.9755	+	31.7401i	2.31283	+	1.33532i
$566$	16.2298			0.682191
$567$	−8.17322	−	22.3651i	−0.343243	−	0.939247i
$568$	5.15864			0.216452
$569$	8.98565	−	15.5636i	0.376698	−	0.652460i	−0.613882	−	0.789398i	$-0.710393\pi$
$569$	8.98565	−	15.5636i	0.376698	−	0.652460i	0.990580	+	0.136938i	$0.0437261\pi$
$570$	22.0776	−	9.12156i	0.924730	−	0.382060i
$571$	−1.81215	−	3.13874i	−0.0758361	−	0.131352i	0.825613	−	0.564236i	$-0.190829\pi$
$571$	−1.81215	−	3.13874i	−0.0758361	−	0.131352i	−0.901450	+	0.432884i	$0.857496\pi$
$572$	11.8295	−	20.4893i	0.494617	−	0.856702i
$573$	−1.76300	−	11.6785i	−0.0736506	−	0.487876i
$574$	−29.7128	+	8.37206i	−1.24019	+	0.349443i
$575$			21.8494i			0.911183i
$576$	−0.666214	+	2.92509i	−0.0277589	+	0.121879i
$577$	−2.43441	−	4.21653i	−0.101346	−	0.175536i	0.810893	−	0.585194i	$-0.198982\pi$
$577$	−2.43441	−	4.21653i	−0.101346	−	0.175536i	−0.912239	+	0.409657i	$0.865648\pi$
$578$	−2.32118	−	4.02040i	−0.0965482	−	0.167226i
$579$	37.2811	+	14.6218i	1.54935	+	0.607662i
$580$		−	15.1801i		−	0.630319i
$581$	−9.05783	+	9.29358i	−0.375782	+	0.385563i
$582$	4.67752	+	30.9848i	0.193889	+	1.28436i
$583$	−16.4871	−	9.51883i	−0.682826	−	0.394230i
$584$	−1.15205	−	1.99540i	−0.0476720	−	0.0825703i
$585$	−30.4268	−	28.2059i	−1.25799	−	1.16617i
$586$	6.34346	−	10.9872i	0.262046	−	0.453877i
$587$			5.66695i			0.233900i	0.993138	+	0.116950i	$0.0373117\pi$
$587$			5.66695i			0.233900i	−0.993138	+	0.116950i	$0.962688\pi$
$588$	−11.3973	−	4.13550i	−0.470015	−	0.170545i
$589$	0.0590012	−	0.203930i	0.00243110	−	0.00840280i
$590$	13.7077	+	7.91417i	0.564339	+	0.325821i
$591$	−2.98008	+	2.37766i	−0.122584	+	0.0978039i
$592$	−3.89567	+	2.24917i	−0.160111	+	0.0924402i
$593$	−1.43314	−	0.827424i	−0.0588520	−	0.0339782i	0.470285	−	0.882514i	$-0.344151\pi$
$593$	−1.43314	−	0.827424i	−0.0588520	−	0.0339782i	−0.529137	+	0.848536i	$0.677484\pi$
$594$	−12.2208	−	25.3318i	−0.501423	−	1.03938i
$595$	−21.0740	−	20.5394i	−0.863951	−	0.842034i
$596$		−	6.50661i		−	0.266521i
$597$	4.09786	−	10.4483i	0.167714	−	0.427619i
$598$	9.52944	+	16.5055i	0.389688	+	0.674959i
$599$	−6.93598	−	12.0135i	−0.283396	−	0.490857i	0.688823	−	0.724930i	$-0.258128\pi$
$599$	−6.93598	−	12.0135i	−0.283396	−	0.490857i	−0.972219	+	0.234073i	$0.924795\pi$
$600$	3.16901	−	8.07999i	0.129374	−	0.329864i
$601$			28.0765i			1.14526i	0.819813	+	0.572631i	$0.194077\pi$
$601$			28.0765i			1.14526i	−0.819813	+	0.572631i	$0.805923\pi$
$602$	−25.1011	+	7.07263i	−1.02304	+	0.288259i
$603$	4.85146	+	15.7023i	0.197567	+	0.639449i
$604$	7.84451	+	4.52903i	0.319189	+	0.184284i
$605$	−50.1387	+	28.9476i	−2.03843	+	1.17689i
$606$	−23.6255	+	18.8496i	−0.959720	+	0.765713i
$607$	−0.699538	−	0.403879i	−0.0283934	−	0.0163929i	0.485736	−	0.874105i	$-0.338552\pi$
$607$	−0.699538	−	0.403879i	−0.0283934	−	0.0163929i	−0.514130	+	0.857713i	$0.671885\pi$
$608$	4.18717	+	1.21144i	0.169812	+	0.0491302i
$609$	−2.17575	+	21.8781i	−0.0881659	+	0.886545i
$610$		−	1.51378i		−	0.0612910i
$611$	10.2493	−	17.7522i	0.414640	−	0.718178i
$612$	7.16956	−	7.73410i	0.289812	−	0.312632i
$613$	19.8763	+	34.4267i	0.802796	+	1.39048i	0.917769	+	0.397114i	$0.129988\pi$
$613$	19.8763	+	34.4267i	0.802796	+	1.39048i	−0.114974	+	0.993369i	$0.536678\pi$
$614$	−0.363026	−	0.209593i	−0.0146506	−	0.00845850i
$615$	9.54455	+	63.2251i	0.384874	+	2.54948i
$616$	−13.8793	−	3.52851i	−0.559215	−	0.142168i
$617$		−	1.53345i		−	0.0617346i	−0.999523	−	0.0308673i	$-0.990173\pi$
$617$		−	1.53345i		−	0.0617346i	0.999523	−	0.0308673i	$-0.00982692\pi$
$618$	−25.5223	−	10.0100i	−1.02666	−	0.402660i
$619$	3.16582	+	5.48336i	0.127245	+	0.220395i	0.922608	−	0.385738i	$-0.126053\pi$
$619$	3.16582	+	5.48336i	0.127245	+	0.220395i	−0.795363	+	0.606133i	$0.792720\pi$
$620$	−0.0770492	−	0.133453i	−0.00309437	−	0.00535961i
$621$	22.5948	+	1.67753i	0.906697	+	0.0673170i
$622$			4.99652i			0.200342i
$623$	26.2464	−	7.39534i	1.05154	−	0.296288i
$624$	−1.13009	−	7.48592i	−0.0452396	−	0.299677i
$625$	12.4726	−	21.6031i	0.498903	−	0.864125i
$626$	−11.6571	−	20.1907i	−0.465913	−	0.806984i
$627$	−37.7689	+	15.6045i	−1.50834	+	0.623185i
$628$	−0.862063	+	1.49314i	−0.0344000	+	0.0595826i
$629$	15.8132			0.630513
$630$	−11.4383	+	22.3575i	−0.455712	+	0.890742i
$631$	−37.5625			−1.49534			−0.747670	−	0.664070i	$-0.768828\pi$
$631$	−37.5625			−1.49534			−0.747670	+	0.664070i	$0.768828\pi$
$632$	−2.81253	−	1.62381i	−0.111876	−	0.0645919i
$633$	31.4923	−	25.1262i	1.25171	−	0.998676i
$634$	5.57956	+	9.66409i	0.221593	+	0.383810i
$635$	21.0205	−	36.4086i	0.834173	−	1.44483i
$636$	−6.02368	+	0.909344i	−0.238854	+	0.0360578i
$637$	30.5867	−	0.786018i	1.21189	−	0.0311432i
$638$			25.9690i			1.02812i
$639$	−3.43676	+	15.0895i	−0.135956	+	0.596931i
$640$	2.74011	−	1.58200i	0.108312	−	0.0625342i
$641$	5.09574	+	8.82608i	0.201270	+	0.348609i	0.948938	−	0.315463i	$-0.102160\pi$
$641$	5.09574	+	8.82608i	0.201270	+	0.348609i	−0.747668	+	0.664073i	$0.768827\pi$
$642$	−3.66057	+	9.33331i	−0.144471	+	0.368356i
$643$	−3.63365			−0.143297			−0.0716485	−	0.997430i	$-0.522826\pi$
$643$	−3.63365			−0.143297			−0.0716485	+	0.997430i	$0.522826\pi$
$644$	8.05197	−	8.26155i	0.317292	−	0.325551i
$645$	8.06314	+	53.4119i	0.317486	+	2.10309i
$646$	−10.6180	−	11.0477i	−0.417761	−	0.434668i
$647$	30.1963	−	17.4339i	1.18714	−	0.685395i	0.229484	−	0.973312i	$-0.426296\pi$
$647$	30.1963	−	17.4339i	1.18714	−	0.685395i	0.957655	+	0.287917i	$0.0929627\pi$
$648$	−8.11232	−	3.89747i	−0.318682	−	0.153107i
$649$	−23.4503	−	13.5390i	−0.920504	−	0.531453i
$650$			21.9027i			0.859094i
$651$	0.0919183	+	0.203381i	0.00360256	+	0.00797112i
$652$	−7.94989			−0.311342
$653$	30.9321	+	17.8587i	1.21047	+	0.698864i	0.962861	−	0.269996i	$-0.0870225\pi$
$653$	30.9321	+	17.8587i	1.21047	+	0.698864i	0.247607	+	0.968861i	$0.420356\pi$
$654$	11.1998	−	8.93573i	0.437945	−	0.349415i
$655$	−23.9413	−	41.4675i	−0.935463	−	1.62027i
$656$	−5.83384	+	10.1045i	−0.227773	+	0.394514i
$657$	6.60424	−	2.04047i	0.257656	−	0.0796064i
$658$	−12.0253	−	3.05715i	−0.468793	−	0.119180i
$659$	37.1929			1.44883			0.724414	−	0.689365i	$-0.242110\pi$
$659$	37.1929			1.44883			0.724414	+	0.689365i	$0.242110\pi$
$660$	−10.8308	+	27.6152i	−0.421589	+	1.07492i
$661$	4.36207	−	2.51845i	0.169665	−	0.0979562i	−0.412763	−	0.910839i	$-0.635436\pi$
$661$	4.36207	−	2.51845i	0.169665	−	0.0979562i	0.582428	+	0.812882i	$0.302103\pi$
$662$	−2.08921	+	1.20621i	−0.0811995	+	0.0468806i
$663$	−9.71738	+	24.7763i	−0.377392	+	0.962231i
$664$			4.90503i			0.190352i
$665$	31.4723	+	18.4648i	1.22044	+	0.716036i
$666$	−3.98367	−	12.8936i	−0.154364	−	0.499618i
$667$	−18.1170	−	10.4599i	−0.701494	−	0.405008i
$668$	−4.10120	−	7.10348i	−0.158680	−	0.274842i
$669$	−27.4901	+	21.9330i	−1.06283	+	0.847979i
$670$	8.66660	−	15.0110i	0.334820	−	0.579925i
$671$			2.58966i			0.0999729i
$672$	−4.17589	+	1.88730i	−0.161089	+	0.0728043i
$673$		−	10.1160i		−	0.389944i	−0.980809	−	0.194972i	$-0.937538\pi$
$673$		−	10.1160i		−	0.389944i	0.980809	−	0.194972i	$-0.0624616\pi$
$674$	10.7651	+	6.21523i	0.414656	+	0.239402i
$675$	21.5235	+	14.6527i	0.828438	+	0.563981i
$676$	3.05267	+	5.28739i	0.117411	+	0.203361i
$677$	19.1874	−	33.2335i	0.737431	−	1.27727i	−0.216218	−	0.976345i	$-0.569372\pi$
$677$	19.1874	−	33.2335i	0.737431	−	1.27727i	0.953649	−	0.300922i	$-0.0972945\pi$
$678$	−34.3612	+	5.18722i	−1.31963	+	0.199214i
$679$	−33.4091	+	34.2786i	−1.28212	+	1.31549i
$680$	−11.1226			−0.426531
$681$	1.15112	−	2.93500i	0.0441112	−	0.112470i
$682$	0.131810	+	0.228302i	0.00504728	+	0.00874215i
$683$	−0.0340951	−	0.0590545i	−0.00130461	−	0.00225966i	0.865372	−	0.501129i	$-0.167082\pi$
$683$	−0.0340951	−	0.0590545i	−0.00130461	−	0.00225966i	−0.866677	+	0.498870i	$0.833749\pi$
$684$	−6.33311	+	11.4408i	−0.242153	+	0.437450i
$685$	−55.2941			−2.11268
$686$	−5.47909	−	17.6912i	−0.209193	−	0.675454i
$687$	4.45587	−	0.672664i	0.170002	−	0.0256637i
$688$	−4.92836	+	8.53617i	−0.187892	+	0.325439i
$689$	13.3138	−	7.68673i	0.507216	−	0.292841i
$690$	−14.9030	−	18.6789i	−0.567346	−	0.711093i
$691$	20.5238	−	35.5482i	0.780761	−	1.35232i	−0.150737	−	0.988574i	$-0.548165\pi$
$691$	20.5238	−	35.5482i	0.780761	−	1.35232i	0.931499	−	0.363745i	$-0.118502\pi$
$692$	1.82103			0.0692251
$693$	19.5678	−	38.2476i	0.743320	−	1.45291i
$694$			3.01026i			0.114268i
$695$	−10.4446	−	6.03019i	−0.396186	−	0.228738i
$696$	5.18265	+	6.49577i	0.196448	+	0.246221i
$697$	35.5208	−	20.5079i	1.34545	−	0.776794i
$698$	−15.3012	+	26.5024i	−0.579159	+	1.00313i
$699$	−0.496743	−	3.29053i	−0.0187886	−	0.124459i
$700$	12.7608	−	3.59557i	0.482315	−	0.135900i
$701$			21.9875i			0.830457i	0.909717	+	0.415228i	$0.136298\pi$
$701$			21.9875i			0.830457i	−0.909717	+	0.415228i	$0.863702\pi$
$702$	22.6499	+	1.68162i	0.854864	+	0.0634687i
$703$	−19.0366	+	4.69830i	−0.717978	+	0.177200i
$704$	−4.68759	+	2.70638i	−0.176670	+	0.102001i
$705$	−9.38396	+	23.9262i	−0.353420	+	0.901111i
$706$			12.5405i			0.471969i
$707$	−44.7442	−	11.3752i	−1.68278	−	0.427808i
$708$	−8.56772	+	1.29340i	−0.321995	+	0.0486088i
$709$	0.658384	−	1.14035i	0.0247261	−	0.0428269i	−0.853398	−	0.521261i	$-0.825462\pi$
$709$	0.658384	−	1.14035i	0.0247261	−	0.0428269i	0.878124	+	0.478434i	$0.158795\pi$
$710$	14.1352	−	8.16098i	0.530486	−	0.306276i
$711$	6.62355	−	7.14510i	0.248403	−	0.267962i
$712$	5.15324	−	8.92567i	0.193126	−	0.334504i
$713$	−0.212364			−0.00795308
$714$	16.0303	+	1.59419i	0.599917	+	0.0596611i
$715$		−	74.8574i		−	2.79951i
$716$	7.56878	−	13.1095i	0.282859	−	0.489926i
$717$	28.6064	−	22.8236i	1.06832	−	0.852363i
$718$	0.641694	−	0.370482i	0.0239478	−	0.0138263i
$719$	−40.5454	−	23.4089i	−1.51209	−	0.873004i	−0.999900	−	0.0141304i	$-0.995502\pi$
$719$	−40.5454	−	23.4089i	−1.51209	−	0.873004i	−0.512187	−	0.858874i	$-0.671165\pi$
$720$	2.80201	+	9.06903i	0.104425	+	0.337983i
$721$	−11.3573	−	40.3077i	−0.422969	−	1.50114i
$722$	16.0648	+	10.1450i	0.597872	+	0.377557i
$723$	−42.7552	−	16.7688i	−1.59008	−	0.623638i
$724$	−1.34310	+	0.775438i	−0.0499158	+	0.0288189i
$725$	−12.0206	−	20.8203i	−0.446434	−	0.773247i
$726$	11.5720	−	29.5050i	0.429478	−	1.09503i
$727$	1.00884			0.0374159			0.0187079	−	0.999825i	$-0.494045\pi$
$727$	1.00884			0.0374159			0.0187079	+	0.999825i	$0.494045\pi$
$728$	8.07161	−	8.28170i	0.299154	−	0.306940i
$729$	16.8050	−	21.1327i	0.622408	−	0.782693i
$730$	−6.31347	−	3.64508i	−0.233672	−	0.134911i
$731$	30.0076	−	17.3249i	1.10987	−	0.640784i
$732$	0.516820	+	0.647766i	0.0191022	+	0.0239421i
$733$	−11.9495	+	20.6972i	−0.441366	+	0.764469i	−0.997791	−	0.0664289i	$-0.978839\pi$
$733$	−11.9495	+	20.6972i	−0.441366	+	0.764469i	0.556425	+	0.830898i	$0.312173\pi$
$734$	−14.1932			−0.523881
$735$	−37.7722	+	6.69880i	−1.39325	+	0.247089i
$736$		−	4.36033i		−	0.160724i
$737$	−14.8262	+	25.6798i	−0.546131	+	0.945927i
$738$	−25.6700	−	23.7963i	−0.944926	−	0.875953i
$739$	−11.4593	−	19.8480i	−0.421536	−	0.730121i	0.574554	−	0.818467i	$-0.305175\pi$
$739$	−11.4593	−	19.8480i	−0.421536	−	0.730121i	−0.996090	+	0.0883452i	$0.971842\pi$
$740$	−7.11638	+	12.3259i	−0.261603	+	0.453110i
$741$	4.33684	−	32.7139i	0.159318	−	1.20177i
$742$	−6.66402	−	6.49497i	−0.244644	−	0.238438i
$743$	−21.0700			−0.772984			−0.386492	−	0.922293i	$-0.626313\pi$
$743$	−21.0700			−0.772984			−0.386492	+	0.922293i	$0.626313\pi$
$744$	0.0785328	+	0.0308010i	0.00287915	+	0.00112922i
$745$	−10.2935	−	17.8288i	−0.377124	−	0.653198i
$746$	−21.8335	+	12.6056i	−0.799382	+	0.461523i
$747$	−14.3476	−	3.26780i	−0.524953	−	0.119562i
$748$	19.0277			0.695723
$749$	−14.7402	+	4.15330i	−0.538596	+	0.151758i
$750$	−0.00895701	−	0.0593331i	−0.000327064	−	0.00216654i
$751$	30.2398	+	17.4590i	1.10347	+	0.637087i	0.937130	−	0.348982i	$-0.113472\pi$
$751$	30.2398	+	17.4590i	1.10347	+	0.637087i	0.166338	+	0.986069i	$0.446806\pi$
$752$	−4.06140	+	2.34485i	−0.148104	+	0.0855078i
$753$	21.5860	−	17.2224i	0.786636	−	0.627618i
$754$	−18.1612	−	10.4854i	−0.661392	−	0.381855i
$755$	28.6598			1.04304
$756$	−2.73849	−	13.4722i	−0.0995980	−	0.489980i
$757$	−15.7250			−0.571534			−0.285767	−	0.958299i	$-0.592248\pi$
$757$	−15.7250			−0.571534			−0.285767	+	0.958299i	$0.592248\pi$
$758$	−9.97068	−	5.75658i	−0.362152	−	0.209088i
$759$	25.4950	+	31.9546i	0.925409	+	1.15988i
$760$	13.3898	−	3.30466i	0.485700	−	0.119873i
$761$	−30.0916	−	17.3734i	−1.09082	−	0.629785i	−0.157025	−	0.987595i	$-0.550190\pi$
$761$	−30.0916	−	17.3734i	−1.09082	−	0.629785i	−0.933795	+	0.357810i	$0.883524\pi$
$762$	3.43534	+	22.7564i	0.124449	+	0.824376i
$763$	21.2111	+	5.39245i	0.767895	+	0.195220i
$764$		−	6.81898i		−	0.246702i
$765$	7.41002	−	32.5346i	0.267910	−	1.17629i
$766$	12.2078	+	21.1446i	0.441087	+	0.763984i
$767$	18.9368	−	10.9332i	0.683767	−	0.394773i
$768$	−0.632417	+	1.61247i	−0.0228204	+	0.0581849i
$769$	−42.8834			−1.54641			−0.773207	−	0.634154i	$-0.781348\pi$
$769$	−42.8834			−1.54641			−0.773207	+	0.634154i	$0.781348\pi$
$770$	−43.6131	+	12.2887i	−1.57171	+	0.442853i
$771$	10.1696	−	1.53522i	0.366250	−	0.0552897i
$772$	20.0230	+	11.5603i	0.720642	+	0.416063i
$773$	13.8722	+	24.0274i	0.498948	+	0.864204i	0.999999	−	0.00121377i	$-0.000386357\pi$
$773$	13.8722	+	24.0274i	0.498948	+	0.864204i	−0.501051	+	0.865418i	$0.667053\pi$
$774$	−21.6857	−	20.1028i	−0.779478	−	0.722581i
$775$	−0.211354	−	0.122025i	−0.00759207	−	0.00438328i
$776$			18.0918i			0.649457i
$777$	12.0230	−	16.7446i	0.431324	−	0.600709i
$778$		−	27.0002i		−	0.968003i
$779$	−36.6682	+	35.2420i	−1.31378	+	1.26267i
$780$	−14.9393	−	18.7244i	−0.534913	−	0.670443i
$781$	−24.1816	+	13.9613i	−0.865286	+	0.499573i
$782$	−7.66404	+	13.2745i	−0.274065	+	0.474695i
$783$	−22.4535	+	10.8322i	−0.802422	+	0.387110i
$784$	−6.15009	−	3.34311i	−0.219646	−	0.119397i
$785$			5.45515i			0.194703i
$786$	24.4023	+	9.57069i	0.870400	+	0.341375i
$787$	−27.8567	+	16.0830i	−0.992982	+	0.573299i	−0.906164	−	0.422926i	$-0.861003\pi$
$787$	−27.8567	+	16.0830i	−0.992982	+	0.573299i	−0.0868180	+	0.996224i	$0.527670\pi$
$788$	−1.90619	+	1.10054i	−0.0679050	+	0.0392050i
$789$	−12.1358	−	4.75970i	−0.432044	−	0.169450i
$790$	−10.2755			−0.365587
$791$	−38.0139	−	37.0496i	−1.35162	−	1.31733i
$792$	−4.79348	−	15.5147i	−0.170329	−	0.551290i
$793$	−1.81106	−	1.04561i	−0.0643125	−	0.0371309i
$794$	−8.64453	−	14.9728i	−0.306783	−	0.531364i
$795$	−15.0670	+	12.0212i	−0.534370	+	0.426348i
$796$	3.23984	−	5.61156i	0.114833	−	0.198897i
$797$	−3.88551			−0.137632			−0.0688159	−	0.997629i	$-0.521922\pi$
$797$	−3.88551			−0.137632			−0.0688159	+	0.997629i	$0.521922\pi$
$798$	−19.7715	+	2.84364i	−0.699905	+	0.100664i
$799$	16.4859			0.583229
$800$	2.50547	−	4.33961i	0.0885819	−	0.153428i
$801$	22.6752	+	21.0201i	0.801190	+	0.742709i
$802$	0.482762	+	0.836168i	0.0170469	+	0.0295261i
$803$	10.8006	+	6.23575i	0.381146	+	0.220055i
$804$	1.41636	+	9.38229i	0.0499513	+	0.330888i
$805$	8.99350	−	35.3758i	0.316979	−	1.24683i
$806$	−0.212882			−0.00749843
$807$	−14.8251	+	37.7994i	−0.521869	+	1.33060i
$808$	−15.1119	+	8.72483i	−0.531633	+	0.306938i
$809$	4.55556	−	2.63016i	0.160165	−	0.0924714i	−0.417775	−	0.908550i	$-0.637190\pi$
$809$	4.55556	−	2.63016i	0.160165	−	0.0924714i	0.577940	+	0.816079i	$0.303857\pi$
$810$	−28.3945	+	2.15420i	−0.997680	+	0.0756910i
$811$			38.6325i			1.35657i	0.734799	+	0.678285i	$0.237277\pi$
$811$			38.6325i			1.35657i	−0.734799	+	0.678285i	$0.762723\pi$
$812$	−3.12758	+	12.3023i	−0.109756	+	0.431726i
$813$	−36.6817	+	5.53753i	−1.28648	+	0.194210i
$814$	12.1742	−	21.0864i	0.426706	−	0.739077i
$815$	−21.7836	+	12.5768i	−0.763046	+	0.440545i
$816$	4.75950	−	3.79737i	0.166616	−	0.132935i
$817$	−30.9769	+	29.7720i	−1.08375	+	1.04159i
$818$		−	17.4334i		−	0.609544i
$819$	18.8473	+	29.1276i	0.658578	+	1.01780i
$820$			36.9166i			1.28918i
$821$	−18.3486	−	10.5936i	−0.640370	−	0.369718i	0.144387	−	0.989521i	$-0.453879\pi$
$821$	−18.3486	−	10.5936i	−0.640370	−	0.369718i	−0.784757	+	0.619803i	$0.787212\pi$
$822$	23.6611	−	18.8780i	0.825276	−	0.658447i
$823$	11.4608	+	19.8507i	0.399498	+	0.691950i	0.993664	−	0.112392i	$-0.0358512\pi$
$823$	11.4608	+	19.8507i	0.399498	+	0.691950i	−0.594166	+	0.804342i	$0.702518\pi$
$824$	−13.7075	−	7.91404i	−0.477524	−	0.275699i
$825$	7.01251	+	46.4523i	0.244144	+	1.61726i
$826$	−9.47851	−	9.23806i	−0.329799	−	0.321433i
$827$	−35.6142			−1.23843			−0.619214	−	0.785222i	$-0.712549\pi$
$827$	−35.6142			−1.23843			−0.619214	+	0.785222i	$0.712549\pi$
$828$	12.7544	+	2.90492i	0.443245	+	0.100953i
$829$	−22.4730	+	12.9748i	−0.780518	+	0.450632i	−0.836614	−	0.547793i	$-0.815468\pi$
$829$	−22.4730	+	12.9748i	−0.780518	+	0.450632i	0.0560959	+	0.998425i	$0.482135\pi$
$830$	7.75977	+	13.4403i	0.269346	+	0.466520i
$831$	10.2146	−	26.0440i	0.354340	−	0.903457i
$832$		−	4.37097i		−	0.151536i
$833$	12.8471	+	20.9875i	0.445126	+	0.727175i
$834$	6.52816	−	0.985501i	0.226052	−	0.0341251i
$835$	−22.4755	−	12.9762i	−0.777796	−	0.449061i
$836$	−22.9064	+	5.65338i	−0.792234	+	0.195526i
$837$	−0.142415	+	0.209196i	−0.00492259	+	0.00723086i
$838$	−13.2769	−	7.66540i	−0.458641	−	0.264797i
$839$	−27.6592			−0.954903			−0.477451	−	0.878658i	$-0.658439\pi$
$839$	−27.6592			−0.954903			−0.477451	+	0.878658i	$0.658439\pi$
$840$	−8.45670	+	11.7777i	−0.291784	+	0.406369i
$841$	−5.98170			−0.206266
$842$	28.2952	+	16.3362i	0.975116	+	0.562983i
$843$	30.1234	+	37.7556i	1.03750	+	1.30037i
$844$	20.1438	−	11.6300i	0.693378	−	0.400322i
$845$	16.7293	+	9.65869i	0.575507	+	0.332269i
$846$	−4.15314	−	13.4421i	−0.142788	−	0.462150i
$847$	46.5977	−	13.1296i	1.60112	−	0.451140i
$848$	−3.51718			−0.120780
$849$	−10.2640	+	26.1701i	−0.352260	+	0.898154i
$850$	−15.2552	+	8.80761i	−0.523250	+	0.302098i
$851$	9.80711	+	16.9864i	0.336184	+	0.582287i
$852$	−3.26241	+	8.31813i	−0.111768	+	0.284974i
$853$	35.7437			1.22384			0.611921	−	0.790919i	$-0.290397\pi$
$853$	35.7437			1.22384			0.611921	+	0.790919i	$0.290397\pi$
$854$	−0.311886	+	1.22680i	−0.0106725	+	0.0419802i
$855$	0.745937	+	41.3681i	0.0255105	+	1.41476i
$856$	−2.89411	+	5.01275i	−0.0989186	+	0.171332i
$857$	6.12247	+	10.6044i	0.209140	+	0.362241i	0.951444	−	0.307823i	$-0.0996003\pi$
$857$	6.12247	+	10.6044i	0.209140	+	0.362241i	−0.742304	+	0.670063i	$0.766267\pi$
$858$	25.5572	+	32.0325i	0.872507	+	1.09357i
$859$	9.83602	−	17.0365i	0.335601	−	0.581277i	−0.647999	−	0.761641i	$-0.724394\pi$
$859$	9.83602	−	17.0365i	0.335601	−	0.581277i	0.983600	+	0.180363i	$0.0577274\pi$
$860$			31.1868i			1.06346i
$861$	5.29123	−	53.2055i	0.180325	−	1.81324i
$862$	−1.98466			−0.0675979
$863$	11.9473	−	20.6933i	0.406689	−	0.704407i	−0.587827	−	0.808987i	$-0.700016\pi$
$863$	11.9473	−	20.6933i	0.406689	−	0.704407i	0.994516	+	0.104580i	$0.0333498\pi$
$864$	−4.29529	−	2.92413i	−0.146129	−	0.0994808i
$865$	4.98982	−	2.88087i	0.169659	−	0.0979527i
$866$	−19.6400	−	11.3391i	−0.667393	−	0.385320i
$867$	7.95071	−	1.20025i	0.270020	−	0.0407627i
$868$	0.0349469	+	0.124028i	0.00118617	+	0.00420979i
$869$	17.5787			0.596315
$870$	24.4774	+	9.60015i	0.829861	+	0.325476i
$871$	−11.9726	−	20.7372i	−0.405676	−	0.702652i
$872$	7.16383	−	4.13604i	0.242598	−	0.140064i
$873$	−52.9201	−	12.0530i	−1.79108	−	0.407933i
$874$	5.28226	−	18.2575i	0.178675	−	0.617568i
$875$	0.0639752	−	0.0656404i	0.00216276	−	0.00221905i
$876$	3.94609	−	0.595708i	0.133326	−	0.0201271i
$877$	27.2416	+	15.7279i	0.919884	+	0.531095i	0.883598	−	0.468246i	$-0.155114\pi$
$877$	27.2416	+	15.7279i	0.919884	+	0.531095i	0.0362857	+	0.999341i	$0.488447\pi$
$878$	−2.42953	+	1.40269i	−0.0819927	+	0.0473385i
$879$	13.7048	+	17.1771i	0.462250	+	0.579370i
$880$	−8.56302	+	14.8316i	−0.288659	+	0.499973i
$881$			33.8095i			1.13907i	0.821967	+	0.569535i	$0.192877\pi$
$881$			33.8095i			1.13907i	−0.821967	+	0.569535i	$0.807123\pi$
$882$	13.8762	−	15.7623i	0.467235	−	0.530746i
$883$	−24.7638			−0.833368			−0.416684	−	0.909051i	$-0.636808\pi$
$883$	−24.7638			−0.833368			−0.416684	+	0.909051i	$0.636808\pi$
$884$	−7.68273	+	13.3069i	−0.258398	+	0.447559i
$885$	−21.4304	+	17.0982i	−0.720374	+	0.574751i
$886$	−21.3943	+	12.3520i	−0.718755	+	0.414973i
$887$	−2.48300	+	4.30068i	−0.0833710	+	0.144403i	−0.904696	−	0.426058i	$-0.859902\pi$
$887$	−2.48300	+	4.30068i	−0.0833710	+	0.144403i	0.821325	+	0.570461i	$0.193235\pi$
$888$	−1.16302	−	7.70405i	−0.0390282	−	0.258531i
$889$	−24.5368	+	25.1755i	−0.822938	+	0.844358i
$890$		−	32.6098i		−	1.09308i
$891$	48.5753	−	3.68527i	1.62733	−	0.123461i
$892$	−17.5838	+	10.1520i	−0.588750	+	0.339915i
$893$	−19.8464	+	4.89817i	−0.664135	+	0.163911i
$894$	10.4917	+	4.11489i	0.350895	+	0.137623i
$895$		−	47.8954i		−	1.60097i
$896$	−2.54659	+	0.717543i	−0.0850757	+	0.0239714i
$897$	−32.6411	+	4.92755i	−1.08985	+	0.164526i
$898$	6.23462	−	10.7987i	0.208052	−	0.360357i
$899$	0.202361	−	0.116833i	0.00674913	−	0.00389661i
$900$	11.0246	+	10.2199i	0.367486	+	0.340662i
$901$	10.7076	+	6.18204i	0.356722	+	0.205954i
$902$		−	63.1544i		−	2.10281i
$903$	4.46998	−	44.9475i	0.148752	−	1.49576i
$904$	−20.0632			−0.667293
$905$	−2.45349	+	4.24957i	−0.0815568	+	0.141261i
$906$	−12.2639	+	9.78477i	−0.407441	+	0.325077i
$907$	18.7984	−	10.8533i	0.624191	−	0.360377i	−0.154308	−	0.988023i	$-0.549315\pi$
$907$	18.7984	−	10.8533i	0.624191	−	0.360377i	0.778499	+	0.627646i	$0.215981\pi$
$908$	0.910098	−	1.57634i	0.0302027	−	0.0523125i
$909$	−15.4532	−	50.0161i	−0.512550	−	1.65893i
$910$	9.01543	−	35.4621i	0.298859	−	1.17556i
$911$	40.1704			1.33091			0.665453	−	0.746440i	$-0.268239\pi$
$911$	40.1704			1.33091			0.665453	+	0.746440i	$0.268239\pi$
$912$	−4.60144	+	5.98554i	−0.152369	+	0.198201i
$913$	−13.2749	−	22.9928i	−0.439335	−	0.760950i
$914$	−7.62887	−	13.2136i	−0.252340	−	0.437066i
$915$	2.44091	+	0.957339i	0.0806941	+	0.0316486i
$916$	2.60174			0.0859640
$917$	10.8589	+	38.5389i	0.358594	+	1.27267i
$918$	7.93682	+	16.4519i	0.261954	+	0.542992i
$919$	−13.2581	+	22.9638i	−0.437345	+	0.757504i	−0.997484	−	0.0708947i	$-0.977415\pi$
$919$	−13.2581	+	22.9638i	−0.437345	+	0.757504i	0.560139	+	0.828399i	$0.310748\pi$
$920$	−6.89807	−	11.9478i	−0.227422	−	0.393907i
$921$	0.567546	−	0.452817i	0.0187013	−	0.0149208i
$922$	29.4050	+	16.9770i	0.968402	+	0.559107i
$923$		−	22.5482i		−	0.742184i
$924$	14.4671	−	20.1485i	0.475934	−	0.662836i
$925$			22.5409i			0.741141i
$926$	−18.5022	+	32.0467i	−0.608019	+	1.05312i
$927$	32.2814	−	34.8233i	1.06026	−	1.14375i
$928$	2.39887	+	4.15496i	0.0787467	+	0.136393i
$929$	21.3155	+	12.3065i	0.699340	+	0.403764i	0.807102	−	0.590413i	$-0.201035\pi$
$929$	21.3155	+	12.3065i	0.699340	+	0.403764i	−0.107762	+	0.994177i	$0.534368\pi$
$930$	0.263916	−	0.0398412i	0.00865414	−	0.00130644i
$931$	−21.7015	−	21.4486i	−0.711239	−	0.702950i
$932$		−	1.92131i		−	0.0629347i
$933$	−8.05672	−	3.15989i	−0.263765	−	0.103450i
$934$	18.3407	−	10.5890i	0.600127	−	0.346483i
$935$	52.1381	−	30.1020i	1.70510	−	0.984440i
$936$	12.7855	+	2.91200i	0.417906	+	0.0951817i
$937$	−22.9964			−0.751259			−0.375630	−	0.926770i	$-0.622574\pi$
$937$	−22.9964			−0.751259			−0.375630	+	0.926770i	$0.622574\pi$
$938$	−10.1164	+	10.3797i	−0.330311	+	0.338908i
$939$	39.9291	−	6.02775i	1.30304	−	0.196708i
$940$	−7.41912	+	12.8503i	−0.241985	+	0.419130i
$941$	−8.90731	−	15.4279i	−0.290370	−	0.502936i	0.683527	−	0.729925i	$-0.260445\pi$
$941$	−8.90731	−	15.4279i	−0.290370	−	0.502936i	−0.973897	+	0.226989i	$0.927112\pi$
$942$	−1.86245	−	2.33433i	−0.0606819	−	0.0760567i
$943$	44.0590	+	25.4375i	1.43476	+	0.828358i
$944$	−5.00262			−0.162822
$945$	−28.8169	−	32.5831i	−0.937413	−	1.05993i
$946$		−	53.3522i		−	1.73463i
$947$	38.2039	+	22.0570i	1.24146	+	0.716757i	0.969391	−	0.245521i	$-0.0789589\pi$
$947$	38.2039	+	22.0570i	1.24146	+	0.716757i	0.272068	+	0.962278i	$0.412292\pi$
$948$	4.39704	−	3.50818i	0.142809	−	0.113940i
$949$	−8.72183	+	5.03555i	−0.283123	+	0.163461i
$950$	15.7480	−	15.1355i	0.510933	−	0.491060i
$951$	−19.1116	+	2.88512i	−0.619737	+	0.0935565i
$952$	9.01399	+	2.29160i	0.292145	+	0.0742712i
$953$	8.97247			0.290647			0.145323	−	0.989384i	$-0.453578\pi$
$953$	8.97247			0.290647			0.145323	+	0.989384i	$0.453578\pi$
$954$	2.34319	−	10.2881i	0.0758637	−	0.333088i
$955$	−10.7877	−	18.6848i	−0.349081	−	0.604625i
$956$	18.2978	−	10.5642i	0.591794	−	0.341672i
$957$	−41.8742	−	16.4233i	−1.35360	−	0.530889i
$958$			4.22434i			0.136482i
$959$	44.8116	+	11.3923i	1.44704	+	0.367877i
$960$	0.818034	+	5.41883i	0.0264019	+	0.174892i
$961$	−15.4988	+	26.8447i	−0.499962	+	0.865959i
$962$	9.83103	+	17.0278i	0.316965	+	0.549000i
$963$	−12.7346	−	11.8051i	−0.410368	−	0.380414i
$964$	−22.9630	−	13.2577i	−0.739589	−	0.427002i
$965$	73.1536			2.35490
$966$	8.22927	+	18.2083i	0.264772	+	0.585842i
$967$	41.2508			1.32654			0.663268	−	0.748382i	$-0.269169\pi$
$967$	41.2508			1.32654			0.663268	+	0.748382i	$0.269169\pi$
$968$	9.14903	−	15.8466i	0.294061	−	0.509329i
$969$	24.5291	−	10.1344i	0.787990	−	0.325565i
$970$	28.6213	+	49.5735i	0.918974	+	1.59171i
$971$	−20.6990	+	35.8517i	−0.664262	+	1.15054i	0.315223	+	0.949018i	$0.397921\pi$
$971$	−20.6990	+	35.8517i	−0.664262	+	1.15054i	−0.979485	+	0.201518i	$0.935413\pi$
$972$	11.4149	−	10.6160i	0.366134	−	0.340509i
$973$	7.22213	+	7.03892i	0.231531	+	0.225657i
$974$		−	1.77014i		−	0.0567191i
$975$	−35.3174	−	13.8516i	−1.13106	−	0.443608i
$976$	0.239218	+	0.414338i	0.00765719	+	0.0132626i
$977$	−15.7682	−	27.3114i	−0.504470	−	0.873768i	−0.999987	−	0.00516976i	$-0.998354\pi$
$977$	−15.7682	−	27.3114i	−0.504470	−	0.873768i	0.495516	−	0.868599i	$-0.334979\pi$
$978$	5.02765	−	12.8189i	0.160767	−	0.409904i
$979$			55.7866i			1.78295i
$980$	−22.1407	+	0.568974i	−0.707260	+	0.0181752i
$981$	7.32565	+	23.7103i	0.233890	+	0.757013i
$982$	−1.06282	−	0.613620i	−0.0339160	−	0.0195814i
$983$	14.3768	+	24.9014i	0.458550	+	0.794231i	0.998885	−	0.0472189i	$-0.0150358\pi$
$983$	14.3768	+	24.9014i	0.458550	+	0.794231i	−0.540335	+	0.841450i	$0.681702\pi$
$984$	−12.6037	−	15.7971i	−0.401793	−	0.503594i
$985$	−3.48211	+	6.03119i	−0.110949	+	0.192170i
$986$		−	16.8657i		−	0.537113i
$987$	12.5345	−	17.4569i	0.398978	−	0.555660i
$988$	5.29514	−	18.3020i	0.168461	−	0.582264i
$989$	37.2206	+	21.4893i	1.18354	+	0.683320i
$990$	−37.6789	−	34.9286i	−1.19752	−	1.11010i
$991$	−39.6728	+	22.9051i	−1.26025	+	0.727604i	−0.973122	−	0.230289i	$-0.926033\pi$
$991$	−39.6728	+	22.9051i	−1.26025	+	0.727604i	−0.287125	+	0.957893i	$0.592699\pi$
$992$	0.0421785	+	0.0243518i	0.00133917	+	0.000773169i
$993$	−0.623714	−	4.13161i	−0.0197930	−	0.131113i
$994$	−13.1369	+	3.70154i	−0.416679	+	0.117406i
$995$		−	20.5017i		−	0.649949i
$996$	−7.90919	−	3.10202i	−0.250612	−	0.0982914i
$997$	16.9573	+	29.3709i	0.537043	+	0.930185i	0.999061	+	0.0433149i	$0.0137919\pi$
$997$	16.9573	+	29.3709i	0.537043	+	0.930185i	−0.462019	+	0.886870i	$0.652875\pi$
$998$	1.82984	+	3.16938i	0.0579226	+	0.100325i
$999$	23.3099	+	1.73062i	0.737492	+	0.0547544i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.bf.a.569.8	✓	52
3.2	odd	2		798.2.bf.b.569.16	yes	52
7.4	even	3	inner	798.2.bf.a.683.11	yes	52
19.18	odd	2		798.2.bf.b.569.19	yes	52
21.11	odd	6		798.2.bf.b.683.19	yes	52
57.56	even	2	inner	798.2.bf.a.569.11	yes	52
133.18	odd	6		798.2.bf.b.683.16	yes	52
399.284	even	6	inner	798.2.bf.a.683.8	yes	52

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.bf.a.569.8	✓	52	1.1	even	1	trivial
798.2.bf.a.569.11	yes	52	57.56	even	2	inner
798.2.bf.a.683.8	yes	52	399.284	even	6	inner
798.2.bf.a.683.11	yes	52	7.4	even	3	inner
798.2.bf.b.569.16	yes	52	3.2	odd	2
798.2.bf.b.569.19	yes	52	19.18	odd	2
798.2.bf.b.683.16	yes	52	133.18	odd	6
798.2.bf.b.683.19	yes	52	21.11	odd	6

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 + 0.866025i) q^{2} +(-1.08023 - 1.35392i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.74011 - 1.58200i) q^{5} +(1.71265 - 0.258544i) q^{6} +(1.89471 + 1.84664i) q^{7} +1.00000 q^{8} +(-0.666214 + 2.92509i) q^{9} +O(q^{10})\)	\(q+(-0.500000 + 0.866025i) q^{2} +(-1.08023 - 1.35392i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.74011 - 1.58200i) q^{5} +(1.71265 - 0.258544i) q^{6} +(1.89471 + 1.84664i) q^{7} +1.00000 q^{8} +(-0.666214 + 2.92509i) q^{9} +(2.74011 - 1.58200i) q^{10} +(-4.68759 + 2.70638i) q^{11} +(-0.632417 + 1.61247i) q^{12} -4.37097i q^{13} +(-2.54659 + 0.717543i) q^{14} +(0.818034 + 5.41883i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(3.04438 - 1.75767i) q^{17} +(-2.20010 - 2.03950i) q^{18} +(-3.14272 + 3.02048i) q^{19} +3.16401i q^{20} +(0.453495 - 4.56008i) q^{21} -5.41277i q^{22} +(3.77616 + 2.18017i) q^{23} +(-1.08023 - 1.35392i) q^{24} +(2.50547 + 4.33961i) q^{25} +(3.78537 + 2.18548i) q^{26} +(4.68001 - 2.25776i) q^{27} +(0.651885 - 2.56419i) q^{28} -4.79774 q^{29} +(-5.10186 - 2.00097i) q^{30} +(-0.0421785 + 0.0243518i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(8.72791 + 3.42313i) q^{33} +3.51534i q^{34} +(-2.27031 - 8.05744i) q^{35} +(2.86631 - 0.885587i) q^{36} +(3.89567 + 2.24917i) q^{37} +(-1.04445 - 4.23192i) q^{38} +(-5.91795 + 4.72164i) q^{39} +(-2.74011 - 1.58200i) q^{40} +11.6677 q^{41} +(3.72240 + 2.67278i) q^{42} +9.85672 q^{43} +(4.68759 + 2.70638i) q^{44} +(6.45301 - 6.96112i) q^{45} +(-3.77616 + 2.18017i) q^{46} +(4.06140 + 2.34485i) q^{47} +(1.71265 - 0.258544i) q^{48} +(0.179827 + 6.99769i) q^{49} -5.01095 q^{50} +(-5.66837 - 2.22317i) q^{51} +(-3.78537 + 2.18548i) q^{52} +(1.75859 + 3.04596i) q^{53} +(-0.384725 + 5.18189i) q^{54} +17.1260 q^{55} +(1.89471 + 1.84664i) q^{56} +(7.48435 + 0.992193i) q^{57} +(2.39887 - 4.15496i) q^{58} +(2.50131 + 4.33240i) q^{59} +(4.28382 - 3.41785i) q^{60} +(0.239218 - 0.414338i) q^{61} -0.0487035i q^{62} +(-6.66388 + 4.31193i) q^{63} +1.00000 q^{64} +(-6.91489 + 11.9769i) q^{65} +(-7.32847 + 5.84702i) q^{66} +(4.74430 - 2.73912i) q^{67} +(-3.04438 - 1.75767i) q^{68} +(-1.12734 - 7.46771i) q^{69} +(8.11310 + 2.06257i) q^{70} +5.15864 q^{71} +(-0.666214 + 2.92509i) q^{72} +(-1.15205 - 1.99540i) q^{73} +(-3.89567 + 2.24917i) q^{74} +(3.16901 - 8.07999i) q^{75} +(4.18717 + 1.21144i) q^{76} +(-13.8793 - 3.52851i) q^{77} +(-1.13009 - 7.48592i) q^{78} +(-2.81253 - 1.62381i) q^{79} +(2.74011 - 1.58200i) q^{80} +(-8.11232 - 3.89747i) q^{81} +(-5.83384 + 10.1045i) q^{82} +4.90503i q^{83} +(-4.17589 + 1.88730i) q^{84} -11.1226 q^{85} +(-4.92836 + 8.53617i) q^{86} +(5.18265 + 6.49577i) q^{87} +(-4.68759 + 2.70638i) q^{88} +(5.15324 - 8.92567i) q^{89} +(2.80201 + 9.06903i) q^{90} +(8.07161 - 8.28170i) q^{91} -4.36033i q^{92} +(0.0785328 + 0.0308010i) q^{93} +(-4.06140 + 2.34485i) q^{94} +(13.3898 - 3.30466i) q^{95} +(-0.632417 + 1.61247i) q^{96} +18.0918i q^{97} +(-6.15009 - 3.34311i) q^{98} +(-4.79348 - 15.5147i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 52 q - 26 q^{2} - 26 q^{4} - 8 q^{7} + 52 q^{8}+O(q^{10}) \) 52 * q - 26 * q^2 - 26 * q^4 - 8 * q^7 + 52 * q^8	\( 52 q - 26 q^{2} - 26 q^{4} - 8 q^{7} + 52 q^{8} + 4 q^{14} + 8 q^{15} - 26 q^{16} + 2 q^{19} + 2 q^{21} + 18 q^{25} + 6 q^{27} + 4 q^{28} - 8 q^{29} - 4 q^{30} - 26 q^{32} + 8 q^{33} + 2 q^{38} + q^{39} + 16 q^{41} + 11 q^{42} - 8 q^{43} + 14 q^{45} + 4 q^{49} - 36 q^{50} - 19 q^{51} - 24 q^{53} - 3 q^{54} + 32 q^{55} - 8 q^{56} - 4 q^{57} + 4 q^{58} + 32 q^{59} - 4 q^{60} - 20 q^{61} - 7 q^{63} + 52 q^{64} - 44 q^{65} + 8 q^{66} + 62 q^{69} - 24 q^{71} - 32 q^{73} + 16 q^{75} - 4 q^{76} - 2 q^{78} - 28 q^{81} - 8 q^{82} - 13 q^{84} + 32 q^{85} + 4 q^{86} + 34 q^{87} - 36 q^{89} - 28 q^{90} + 20 q^{93} + 30 q^{95} - 20 q^{98} - 116 q^{99}+O(q^{100}) \) 52 * q - 26 * q^2 - 26 * q^4 - 8 * q^7 + 52 * q^8 + 4 * q^14 + 8 * q^15 - 26 * q^16 + 2 * q^19 + 2 * q^21 + 18 * q^25 + 6 * q^27 + 4 * q^28 - 8 * q^29 - 4 * q^30 - 26 * q^32 + 8 * q^33 + 2 * q^38 + q^39 + 16 * q^41 + 11 * q^42 - 8 * q^43 + 14 * q^45 + 4 * q^49 - 36 * q^50 - 19 * q^51 - 24 * q^53 - 3 * q^54 + 32 * q^55 - 8 * q^56 - 4 * q^57 + 4 * q^58 + 32 * q^59 - 4 * q^60 - 20 * q^61 - 7 * q^63 + 52 * q^64 - 44 * q^65 + 8 * q^66 + 62 * q^69 - 24 * q^71 - 32 * q^73 + 16 * q^75 - 4 * q^76 - 2 * q^78 - 28 * q^81 - 8 * q^82 - 13 * q^84 + 32 * q^85 + 4 * q^86 + 34 * q^87 - 36 * q^89 - 28 * q^90 + 20 * q^93 + 30 * q^95 - 20 * q^98 - 116 * q^99

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