LMFDB - Embedded newform 348.2.t.a.35.47

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [348,2,Mod(35,348)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(348, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 7, 3]))

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

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

chi := DirichletCharacter("348.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 348 = 2^{2} \cdot 3 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	348.t (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.77879399034$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$56$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			35.47
Character	$\chi$	$=$	348.35
Dual form			348.2.t.a.179.47

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.21474 + 0.724167i) q^{2} +(-0.773743 - 1.54962i) q^{3} +(0.951165 + 1.75934i) q^{4} +(-3.09364 - 2.46710i) q^{5} +(0.182290 - 2.44270i) q^{6} +(-2.60358 - 0.594250i) q^{7} +(-0.118644 + 2.82594i) q^{8} +(-1.80264 + 2.39802i) q^{9} +O(q^{10})$	\(q+(1.21474 + 0.724167i) q^{2} +(-0.773743 - 1.54962i) q^{3} +(0.951165 + 1.75934i) q^{4} +(-3.09364 - 2.46710i) q^{5} +(0.182290 - 2.44270i) q^{6} +(-2.60358 - 0.594250i) q^{7} +(-0.118644 + 2.82594i) q^{8} +(-1.80264 + 2.39802i) q^{9} +(-1.97137 - 5.23718i) q^{10} +(-1.96333 - 4.07691i) q^{11} +(1.99035 - 2.83522i) q^{12} +(2.24733 - 1.08226i) q^{13} +(-2.73232 - 2.60728i) q^{14} +(-1.42938 + 6.70286i) q^{15} +(-2.19057 + 3.34685i) q^{16} +1.31398 q^{17} +(-3.92630 + 1.60754i) q^{18} +(-0.427998 - 1.87518i) q^{19} +(1.39790 - 7.78939i) q^{20} +(1.09364 + 4.49435i) q^{21} +(0.567428 - 6.37414i) q^{22} +(-4.39915 - 5.51636i) q^{23} +(4.47093 - 2.00270i) q^{24} +(2.37144 + 10.3900i) q^{25} +(3.51365 + 0.312786i) q^{26} +(5.11080 + 0.937961i) q^{27} +(-1.43094 - 5.14581i) q^{28} +(1.97428 + 5.01021i) q^{29} +(-6.59031 + 7.10710i) q^{30} +(0.382439 - 0.479563i) q^{31} +(-5.08464 + 2.47920i) q^{32} +(-4.79854 + 6.19690i) q^{33} +(1.59614 + 0.951542i) q^{34} +(6.58846 + 8.26167i) q^{35} +(-5.93354 - 0.890556i) q^{36} +(3.98009 - 8.26475i) q^{37} +(0.838040 - 2.58779i) q^{38} +(-3.41595 - 2.64512i) q^{39} +(7.33890 - 8.44973i) q^{40} +6.19900 q^{41} +(-1.92618 + 6.25143i) q^{42} +(-2.07260 - 2.59895i) q^{43} +(5.30522 - 7.33199i) q^{44} +(11.4929 - 2.97131i) q^{45} +(-1.34904 - 9.88664i) q^{46} +(0.889210 + 1.84646i) q^{47} +(6.88128 + 0.804949i) q^{48} +(0.118703 + 0.0571644i) q^{49} +(-4.64340 + 14.3384i) q^{50} +(-1.01668 - 2.03617i) q^{51} +(4.04164 + 2.92442i) q^{52} +(-5.02754 - 4.00933i) q^{53} +(5.52902 + 4.84044i) q^{54} +(-3.98427 + 17.4562i) q^{55} +(1.98821 - 7.28704i) q^{56} +(-2.57466 + 2.11414i) q^{57} +(-1.23000 + 7.51579i) q^{58} +14.3346 q^{59} +(-13.1522 + 3.86077i) q^{60} +(-5.96790 - 1.36213i) q^{61} +(0.811846 - 0.305593i) q^{62} +(6.11834 - 5.17220i) q^{63} +(-7.97185 - 0.670559i) q^{64} +(-9.62247 - 2.19627i) q^{65} +(-10.3165 + 4.05265i) q^{66} +(-0.889900 + 1.84790i) q^{67} +(1.24981 + 2.31174i) q^{68} +(-5.14445 + 11.0853i) q^{69} +(2.02041 + 14.8069i) q^{70} +(-7.23645 + 3.48489i) q^{71} +(-6.56277 - 5.37866i) q^{72} +(-0.159629 + 0.127300i) q^{73} +(10.8198 - 7.15723i) q^{74} +(14.2656 - 11.7140i) q^{75} +(2.89199 - 2.53660i) q^{76} +(2.68899 + 11.7813i) q^{77} +(-2.23396 - 5.68683i) q^{78} +(-4.42448 - 2.13072i) q^{79} +(15.0338 - 4.94960i) q^{80} +(-2.50096 - 8.64553i) q^{81} +(7.53015 + 4.48911i) q^{82} +(0.563269 + 2.46784i) q^{83} +(-6.86687 + 6.19896i) q^{84} +(-4.06499 - 3.24172i) q^{85} +(-0.635581 - 4.65795i) q^{86} +(6.23633 - 6.93600i) q^{87} +(11.7540 - 5.06456i) q^{88} +(7.19293 - 9.01965i) q^{89} +(16.1125 + 4.71340i) q^{90} +(-6.49423 + 1.48227i) q^{91} +(5.52085 - 12.9866i) q^{92} +(-1.03905 - 0.221576i) q^{93} +(-0.256993 + 2.88690i) q^{94} +(-3.30218 + 6.85705i) q^{95} +(7.77602 + 5.96100i) q^{96} +(-6.23771 + 1.42372i) q^{97} +(0.102796 + 0.155400i) q^{98} +(13.3157 + 2.64110i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9}+O(q^{10}) $ 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9	$ 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9} - 14 q^{10} - 20 q^{13} - 26 q^{16} - 56 q^{18} - 14 q^{21} - 40 q^{22} + 3 q^{24} + 40 q^{25} - 36 q^{28} - 6 q^{30} - 22 q^{33} - 8 q^{34} + 9 q^{36} - 28 q^{37} - 14 q^{40} - 74 q^{42} - 22 q^{45} + 14 q^{48} + 4 q^{49} - 4 q^{52} - 31 q^{54} - 12 q^{57} - 106 q^{58} - 42 q^{60} - 28 q^{61} - 94 q^{64} - 7 q^{66} - 14 q^{69} + 70 q^{72} - 28 q^{73} - 84 q^{76} - 9 q^{78} - 50 q^{81} - 46 q^{82} - 35 q^{84} - 168 q^{85} - 60 q^{88} + 119 q^{90} + 122 q^{93} + 36 q^{94} + 2 q^{96} - 28 q^{97}+O(q^{100}) $ 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9 - 14 * q^10 - 20 * q^13 - 26 * q^16 - 56 * q^18 - 14 * q^21 - 40 * q^22 + 3 * q^24 + 40 * q^25 - 36 * q^28 - 6 * q^30 - 22 * q^33 - 8 * q^34 + 9 * q^36 - 28 * q^37 - 14 * q^40 - 74 * q^42 - 22 * q^45 + 14 * q^48 + 4 * q^49 - 4 * q^52 - 31 * q^54 - 12 * q^57 - 106 * q^58 - 42 * q^60 - 28 * q^61 - 94 * q^64 - 7 * q^66 - 14 * q^69 + 70 * q^72 - 28 * q^73 - 84 * q^76 - 9 * q^78 - 50 * q^81 - 46 * q^82 - 35 * q^84 - 168 * q^85 - 60 * q^88 + 119 * q^90 + 122 * q^93 + 36 * q^94 + 2 * q^96 - 28 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/348\mathbb{Z}\right)^\times$.

$n$	$175$	$205$	$233$
$\chi(n)$	$-1$	$e\left(\frac{3}{14}\right)$	$-1$

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 $

$2$	1.21474	+	0.724167i	0.858948	+	0.512063i
$2$	1.21474	+	0.724167i	0.858948	+	0.512063i
$3$	−0.773743	−	1.54962i	−0.446721	−	0.894673i
$3$	−0.773743	−	1.54962i	−0.446721	−	0.894673i
$4$	0.951165	+	1.75934i	0.475582	+	0.879671i
$5$	−3.09364	−	2.46710i	−1.38352	−	1.10332i	−0.982296	−	0.187338i	$-0.940014\pi$
$5$	−3.09364	−	2.46710i	−1.38352	−	1.10332i	−0.401222	−	0.915981i	$-0.631414\pi$
$6$	0.182290	−	2.44270i	0.0744194	−	0.997227i
$7$	−2.60358	−	0.594250i	−0.984060	−	0.224605i	−0.299927	−	0.953962i	$-0.596962\pi$
$7$	−2.60358	−	0.594250i	−0.984060	−	0.224605i	−0.684133	+	0.729357i	$0.739819\pi$
$8$	−0.118644	+	2.82594i	−0.0419468	+	0.999120i
$9$	−1.80264	+	2.39802i	−0.600881	+	0.799339i
$10$	−1.97137	−	5.23718i	−0.623401	−	1.65614i
$11$	−1.96333	−	4.07691i	−0.591968	−	1.22923i	−0.954764	−	0.297365i	$-0.903892\pi$
$11$	−1.96333	−	4.07691i	−0.591968	−	1.22923i	0.362796	−	0.931868i	$-0.381822\pi$
$12$	1.99035	−	2.83522i	0.574566	−	0.818458i
$13$	2.24733	−	1.08226i	0.623298	−	0.300164i	−0.0954513	−	0.995434i	$-0.530429\pi$
$13$	2.24733	−	1.08226i	0.623298	−	0.300164i	0.718749	+	0.695270i	$0.244715\pi$
$14$	−2.73232	−	2.60728i	−0.730244	−	0.696825i
$15$	−1.42938	+	6.70286i	−0.369063	+	1.73067i
$16$	−2.19057	+	3.34685i	−0.547643	+	0.836712i
$17$	1.31398			0.318687			0.159344	−	0.987223i	$-0.449062\pi$
$17$	1.31398			0.318687			0.159344	+	0.987223i	$0.449062\pi$
$18$	−3.92630	+	1.60754i	−0.925437	+	0.378901i
$19$	−0.427998	−	1.87518i	−0.0981894	−	0.430196i	0.901809	−	0.432136i	$-0.142240\pi$
$19$	−0.427998	−	1.87518i	−0.0981894	−	0.430196i	−0.999998	+	0.00193948i	$0.999383\pi$
$20$	1.39790	−	7.78939i	0.312581	−	1.74176i
$21$	1.09364	+	4.49435i	0.238652	+	0.980748i
$22$	0.567428	−	6.37414i	0.120976	−	1.35897i
$23$	−4.39915	−	5.51636i	−0.917287	−	1.15024i	−0.988263	−	0.152763i	$-0.951183\pi$
$23$	−4.39915	−	5.51636i	−0.917287	−	1.15024i	0.0709760	−	0.997478i	$-0.477389\pi$
$24$	4.47093	−	2.00270i	0.912624	−	0.408799i
$25$	2.37144	+	10.3900i	0.474289	+	2.07799i
$26$	3.51365	+	0.312786i	0.689083	+	0.0613423i
$27$	5.11080	+	0.937961i	0.983573	+	0.180511i
$28$	−1.43094	−	5.14581i	−0.270423	−	0.972467i
$29$	1.97428	+	5.01021i	0.366615	+	0.930373i
$29$	1.97428	+	5.01021i	0.366615	+	0.930373i
$30$	−6.59031	+	7.10710i	−1.20322	+	1.29757i
$31$	0.382439	−	0.479563i	0.0686881	−	0.0861321i	−0.746300	−	0.665609i	$-0.768172\pi$
$31$	0.382439	−	0.479563i	0.0686881	−	0.0861321i	0.814989	+	0.579477i	$0.196743\pi$
$32$	−5.08464	+	2.47920i	−0.898846	+	0.438264i
$33$	−4.79854	+	6.19690i	−0.835318	+	1.07874i
$34$	1.59614	+	0.951542i	0.273736	+	0.163188i
$35$	6.58846	+	8.26167i	1.11365	+	1.39648i
$36$	−5.93354	−	0.890556i	−0.988924	−	0.148426i
$37$	3.98009	−	8.26475i	0.654323	−	1.35872i	−0.264630	−	0.964350i	$-0.585250\pi$
$37$	3.98009	−	8.26475i	0.654323	−	1.35872i	0.918953	−	0.394366i	$-0.129036\pi$
$38$	0.838040	−	2.58779i	0.135948	−	0.419795i
$39$	−3.41595	−	2.64512i	−0.546989	−	0.423558i
$40$	7.33890	−	8.44973i	1.16038	−	1.33602i
$41$	6.19900			0.968121			0.484061	−	0.875034i	$-0.339161\pi$
$41$	6.19900			0.968121			0.484061	+	0.875034i	$0.339161\pi$
$42$	−1.92618	+	6.25143i	−0.297216	+	0.964616i
$43$	−2.07260	−	2.59895i	−0.316068	−	0.396337i	0.598266	−	0.801298i	$-0.295857\pi$
$43$	−2.07260	−	2.59895i	−0.316068	−	0.396337i	−0.914334	+	0.404961i	$0.867285\pi$
$44$	5.30522	−	7.33199i	0.799792	−	1.10534i
$45$	11.4929	−	2.97131i	1.71325	−	0.442936i
$46$	−1.34904	−	9.88664i	−0.198905	−	1.45771i
$47$	0.889210	+	1.84646i	0.129705	+	0.269335i	0.955700	−	0.294342i	$-0.0951006\pi$
$47$	0.889210	+	1.84646i	0.129705	+	0.269335i	−0.825995	+	0.563677i	$0.809386\pi$
$48$	6.88128	+	0.804949i	0.993228	+	0.116184i
$49$	0.118703	+	0.0571644i	0.0169576	+	0.00816634i
$50$	−4.64340	+	14.3384i	−0.656675	+	2.02775i
$51$	−1.01668	−	2.03617i	−0.142364	−	0.285121i
$52$	4.04164	+	2.92442i	0.560475	+	0.405544i
$53$	−5.02754	−	4.00933i	−0.690586	−	0.550724i	0.214095	−	0.976813i	$-0.431320\pi$
$53$	−5.02754	−	4.00933i	−0.690586	−	0.550724i	−0.904681	+	0.426089i	$0.859891\pi$
$54$	5.52902	+	4.84044i	0.752405	+	0.658701i
$55$	−3.98427	+	17.4562i	−0.537238	+	2.35379i
$56$	1.98821	−	7.28704i	0.265686	−	0.973772i
$57$	−2.57466	+	2.11414i	−0.341022	+	0.280025i
$58$	−1.23000	+	7.51579i	−0.161507	+	0.986872i
$59$	14.3346			1.86620			0.933102	−	0.359612i	$-0.117091\pi$
$59$	14.3346			1.86620			0.933102	+	0.359612i	$0.117091\pi$
$60$	−13.1522	+	3.86077i	−1.69794	+	0.498423i
$61$	−5.96790	−	1.36213i	−0.764111	−	0.174403i	−0.177333	−	0.984151i	$-0.556747\pi$
$61$	−5.96790	−	1.36213i	−0.764111	−	0.174403i	−0.586778	+	0.809748i	$0.699604\pi$
$62$	0.811846	−	0.305593i	0.103105	−	0.0388104i
$63$	6.11834	−	5.17220i	0.770838	−	0.651636i
$64$	−7.97185	−	0.670559i	−0.996481	−	0.0838198i
$65$	−9.62247	−	2.19627i	−1.19352	−	0.272413i
$66$	−10.3165	+	4.05265i	−1.26988	+	0.498847i
$67$	−0.889900	+	1.84790i	−0.108719	+	0.225756i	−0.948229	−	0.317587i	$-0.897127\pi$
$67$	−0.889900	+	1.84790i	−0.108719	+	0.225756i	0.839511	+	0.543343i	$0.182842\pi$
$68$	1.24981	+	2.31174i	0.151562	+	0.280340i
$69$	−5.14445	+	11.0853i	−0.619319	+	1.33451i
$70$	2.02041	+	14.8069i	0.241485	+	1.76976i
$71$	−7.23645	+	3.48489i	−0.858808	+	0.413580i	−0.810840	−	0.585269i	$-0.800989\pi$
$71$	−7.23645	+	3.48489i	−0.858808	+	0.413580i	−0.0479688	+	0.998849i	$0.515275\pi$
$72$	−6.56277	−	5.37866i	−0.773430	−	0.633882i
$73$	−0.159629	+	0.127300i	−0.0186832	+	0.0148994i	−0.632787	−	0.774326i	$-0.718089\pi$
$73$	−0.159629	+	0.127300i	−0.0186832	+	0.0148994i	0.614104	+	0.789225i	$0.289518\pi$
$74$	10.8198	−	7.15723i	1.25778	−	0.832012i
$75$	14.2656	−	11.7140i	1.64725	−	1.35262i
$76$	2.89199	−	2.53660i	0.331734	−	0.290968i
$77$	2.68899	+	11.7813i	0.306439	+	1.34260i
$78$	−2.23396	−	5.68683i	−0.252946	−	0.643907i
$79$	−4.42448	−	2.13072i	−0.497792	−	0.239724i	0.168103	−	0.985769i	$-0.446236\pi$
$79$	−4.42448	−	2.13072i	−0.497792	−	0.239724i	−0.665895	+	0.746045i	$0.731950\pi$
$80$	15.0338	−	4.94960i	1.68083	−	0.553382i
$81$	−2.50096	−	8.64553i	−0.277885	−	0.960614i
$82$	7.53015	+	4.48911i	0.831566	+	0.495739i
$83$	0.563269	+	2.46784i	0.0618268	+	0.270881i	0.996388	−	0.0849226i	$-0.0270643\pi$
$83$	0.563269	+	2.46784i	0.0618268	+	0.270881i	−0.934561	+	0.355804i	$0.884207\pi$
$84$	−6.86687	+	6.19896i	−0.749237	+	0.676362i
$85$	−4.06499	−	3.24172i	−0.440910	−	0.351614i
$86$	−0.635581	−	4.65795i	−0.0685364	−	0.502279i
$87$	6.23633	−	6.93600i	0.668605	−	0.743618i
$88$	11.7540	−	5.06456i	1.25298	−	0.539884i
$89$	7.19293	−	9.01965i	0.762449	−	0.956081i	−0.237433	−	0.971404i	$-0.576306\pi$
$89$	7.19293	−	9.01965i	0.762449	−	0.956081i	0.999883	+	0.0153228i	$0.00487757\pi$
$90$	16.1125	+	4.71340i	1.69841	+	0.496836i
$91$	−6.49423	+	1.48227i	−0.680781	+	0.155384i
$92$	5.52085	−	12.9866i	0.575589	−	1.35395i
$93$	−1.03905	−	0.221576i	−0.107745	−	0.0229764i
$94$	−0.256993	+	2.88690i	−0.0265068	+	0.297761i
$95$	−3.30218	+	6.85705i	−0.338796	+	0.703518i
$96$	7.77602	+	5.96100i	0.793637	+	0.608392i
$97$	−6.23771	+	1.42372i	−0.633344	+	0.144557i	−0.527127	−	0.849786i	$-0.676731\pi$
$97$	−6.23771	+	1.42372i	−0.633344	+	0.144557i	−0.106217	+	0.994343i	$0.533874\pi$
$98$	0.102796	+	0.155400i	0.0103840	+	0.0156978i
$99$	13.3157	+	2.64110i	1.33828	+	0.265440i
$100$	−16.0239	+	14.0548i	−1.60239	+	1.40548i
$101$	−10.2477	−	12.8502i	−1.01969	−	1.27865i	−0.959872	−	0.280437i	$-0.909520\pi$
$101$	−10.2477	−	12.8502i	−1.01969	−	1.27865i	−0.0598146	−	0.998210i	$-0.519051\pi$
$102$	0.239525	−	3.20966i	0.0237165	−	0.317804i
$103$	−2.59793	−	5.39466i	−0.255982	−	0.531552i	0.732885	−	0.680352i	$-0.238173\pi$
$103$	−2.59793	−	5.39466i	−0.255982	−	0.531552i	−0.988867	+	0.148800i	$0.952459\pi$
$104$	2.79176	+	6.47922i	0.273755	+	0.635340i
$105$	7.70467	−	16.6020i	0.751899	−	1.62019i
$106$	−3.20371	−	8.51105i	−0.311172	−	0.826667i
$107$	−0.895704	−	0.431348i	−0.0865910	−	0.0417000i	0.390087	−	0.920778i	$-0.372445\pi$
$107$	−0.895704	−	0.431348i	−0.0865910	−	0.0417000i	−0.476678	+	0.879078i	$0.658159\pi$
$108$	3.21101	+	9.88379i	0.308980	+	0.951069i
$109$	−2.70643	+	11.8577i	−0.259229	+	1.13576i	0.662849	+	0.748753i	$0.269347\pi$
$109$	−2.70643	+	11.8577i	−0.259229	+	1.13576i	−0.922078	+	0.387004i	$0.873510\pi$
$110$	−17.4810	+	18.3194i	−1.66675	+	1.74669i
$111$	−15.8868	+	0.227164i	−1.50791	+	0.0215615i
$112$	7.69219	−	7.41204i	0.726843	−	0.700372i
$113$	−0.801386	+	3.51110i	−0.0753880	+	0.330297i	−0.998532	−	0.0541568i	$-0.982753\pi$
$113$	−0.801386	+	3.51110i	−0.0753880	+	0.330297i	0.923144	+	0.384453i	$0.125610\pi$
$114$	−4.65852	+	0.703643i	−0.436310	+	0.0659022i
$115$			27.9188i			2.60344i
$116$	−6.93681	+	8.23897i	−0.644067	+	0.764969i
$117$	−1.45586	+	7.34006i	−0.134595	+	0.678589i
$118$	17.4127	+	10.3806i	1.60297	+	0.955614i
$119$	−3.42105	−	0.780833i	−0.313607	−	0.0715788i
$120$	−18.7723	−	4.83458i	−1.71367	−	0.441335i
$121$	−5.90809	+	7.40851i	−0.537099	+	0.673501i
$122$	−6.26301	−	5.97639i	−0.567026	−	0.541077i
$123$	−4.79644	−	9.60609i	−0.432480	−	0.866152i
$124$	1.20748	+	0.216697i	0.108435	+	0.0194600i
$125$	9.71245	−	20.1681i	0.868708	−	1.80389i
$126$	11.1777	−	1.85216i	0.995789	−	0.165003i
$127$	15.3170	−	7.37628i	1.35916	−	0.654539i	0.394714	−	0.918804i	$-0.370844\pi$
$127$	15.3170	−	7.37628i	1.35916	−	0.654539i	0.964450	+	0.264265i	$0.0851294\pi$
$128$	−9.19809	−	6.58750i	−0.813004	−	0.582258i
$129$	−2.42373	+	5.22266i	−0.213398	+	0.459830i
$130$	−10.0983	−	9.63615i	−0.885679	−	0.845146i
$131$	1.87571	−	1.49583i	0.163882	−	0.130691i	−0.538115	−	0.842871i	$-0.680863\pi$
$131$	1.87571	−	1.49583i	0.163882	−	0.130691i	0.701997	+	0.712180i	$0.252292\pi$
$132$	−15.4667	−	2.54799i	−1.34620	−	0.221774i
$133$			5.13652i			0.445393i
$134$	−2.41918	+	1.60027i	−0.208985	+	0.138242i
$135$	−13.4969	−	15.5105i	−1.16163	−	1.33493i
$136$	−0.155895	+	3.71323i	−0.0133679	+	0.318407i
$137$	7.50180	+	3.61268i	0.640922	+	0.308652i	0.725971	−	0.687725i	$-0.241390\pi$
$137$	7.50180	+	3.61268i	0.640922	+	0.308652i	−0.0850493	+	0.996377i	$0.527105\pi$
$138$	−14.2767	+	9.74022i	−1.21532	+	0.829143i
$139$	0.468273	−	0.373435i	0.0397184	−	0.0316744i	−0.603429	−	0.797416i	$-0.706199\pi$
$139$	0.468273	−	0.373435i	0.0397184	−	0.0316744i	0.643148	+	0.765742i	$0.277628\pi$
$140$	−8.26839	+	19.4496i	−0.698807	+	1.64379i
$141$	2.17330	−	2.80663i	0.183025	−	0.236361i
$142$	−11.3140	−	1.00718i	−0.949451	−	0.0845203i
$143$	−8.82452	−	7.03732i	−0.737944	−	0.588491i
$144$	−4.07698	−	11.2862i	−0.339749	−	0.940516i
$145$	6.25295	−	20.3705i	0.519279	−	1.69168i
$146$	−0.286094	+	0.0390377i	−0.0236773	+	0.00323079i
$147$	−0.00326266	−	0.228175i	−0.000269100	−	0.0188196i
$148$	18.3262	−	0.858792i	1.50641	−	0.0705923i
$149$	10.3308	−	2.35794i	0.846332	−	0.193170i	0.222699	−	0.974887i	$-0.428513\pi$
$149$	10.3308	−	2.35794i	0.846332	−	0.193170i	0.623633	+	0.781717i	$0.285656\pi$
$150$	25.8118	−	3.89873i	2.10753	−	0.318330i
$151$	−14.9139	+	11.8935i	−1.21368	+	0.967876i	−0.999959	−	0.00901968i	$-0.997129\pi$
$151$	−14.9139	+	11.8935i	−1.21368	+	0.967876i	−0.213718	+	0.976895i	$0.568557\pi$
$152$	5.34992	−	0.987017i	0.433936	−	0.0800576i
$153$	−2.36864	+	3.15095i	−0.191493	+	0.254739i
$154$	−5.26518	+	16.2584i	−0.424280	+	1.31014i
$155$	−2.36626	+	0.540083i	−0.190062	+	0.0433805i
$156$	1.40454	−	8.52576i	0.112453	−	0.682607i
$157$		−	23.0805i		−	1.84203i	−0.389532	−	0.921013i	$-0.627363\pi$
$157$		−	23.0805i		−	1.84203i	0.389532	−	0.921013i	$-0.372637\pi$
$158$	−3.83157	−	5.79231i	−0.304824	−	0.460812i
$159$	−2.32291	+	10.8930i	−0.184219	+	0.863869i
$160$	21.8465	+	4.87455i	1.72711	+	0.385367i
$161$	8.17544	+	16.9765i	0.644315	+	1.33793i
$162$	3.22280	−	12.3131i	0.253207	−	0.967412i
$163$	−0.342900	+	0.165132i	−0.0268580	+	0.0129341i	−0.447265	−	0.894402i	$-0.647602\pi$
$163$	−0.342900	+	0.165132i	−0.0268580	+	0.0129341i	0.420407	+	0.907336i	$0.361887\pi$
$164$	5.89627	+	10.9062i	0.460422	+	0.851628i
$165$	30.1333	−	7.33253i	2.34587	−	0.570837i
$166$	−1.10291	+	3.40568i	−0.0856022	+	0.264332i
$167$	4.44087	−	19.4567i	0.343645	−	1.50561i	−0.447672	−	0.894198i	$-0.647747\pi$
$167$	4.44087	−	19.4567i	0.343645	−	1.50561i	0.791316	−	0.611407i	$-0.209396\pi$
$168$	−12.8305	+	2.55733i	−0.989896	+	0.197303i
$169$	−4.22615	+	5.29943i	−0.325089	+	0.407648i
$170$	−2.59034	−	6.88156i	−0.198670	−	0.527791i
$171$	5.26824	+	2.35394i	0.402872	+	0.180010i
$172$	2.60107	−	6.11844i	0.198330	−	0.466527i
$173$			10.7014i			0.813611i	0.913515	+	0.406805i	$0.133357\pi$
$173$			10.7014i			0.813611i	−0.913515	+	0.406805i	$0.866643\pi$
$174$	12.5983	−	3.90926i	0.955076	−	0.296360i
$175$		−	28.4603i		−	2.15140i
$176$	17.9456	+	2.35977i	1.35270	+	0.177874i
$177$	−11.0913	−	22.2132i	−0.833672	−	1.66964i
$178$	15.2692	−	5.74761i	1.14448	−	0.430801i
$179$	−5.03181	+	6.30969i	−0.376095	+	0.471608i	−0.933471	−	0.358652i	$-0.883237\pi$
$179$	−5.03181	+	6.30969i	−0.376095	+	0.471608i	0.557377	+	0.830260i	$0.311808\pi$
$180$	16.1592	+	17.3937i	1.20443	+	1.29645i
$181$	2.83563	−	12.4237i	0.210771	−	0.923448i	−0.753274	−	0.657707i	$-0.771526\pi$
$181$	2.83563	−	12.4237i	0.210771	−	0.923448i	0.964045	−	0.265741i	$-0.0856165\pi$
$182$	−8.96218	−	2.90235i	−0.664321	−	0.215136i
$183$	2.50683	+	10.3019i	0.185310	+	0.761540i
$184$	16.1108	−	11.7773i	1.18771	−	0.868230i
$185$	−32.7029	+	15.7489i	−2.40437	+	1.15788i
$186$	−1.10171	−	1.02160i	−0.0807816	−	0.0749075i
$187$	−2.57978	−	5.35698i	−0.188653	−	0.391741i
$188$	−2.40278	+	3.32072i	−0.175241	+	0.242188i
$189$	−12.7490	−	5.47914i	−0.927351	−	0.398549i
$190$	−8.97692	+	5.93817i	−0.651254	+	0.430800i
$191$			8.64976i			0.625874i	0.949774	+	0.312937i	$0.101313\pi$
$191$			8.64976i			0.625874i	−0.949774	+	0.312937i	$0.898687\pi$
$192$	5.12905	+	12.8722i	0.370158	+	0.928969i
$193$	15.4628	−	3.52928i	1.11304	−	0.254043i	0.373813	−	0.927504i	$-0.378050\pi$
$193$	15.4628	−	3.52928i	1.11304	−	0.254043i	0.739223	+	0.673461i	$0.235193\pi$
$194$	−8.60818	−	2.78770i	−0.618031	−	0.200146i
$195$	4.04194	+	16.6105i	0.289450	+	1.18950i
$196$	0.0123345	+	0.263212i	0.000881033	+	0.0188009i
$197$	10.6573	−	8.49890i	0.759300	−	0.605522i	−0.165396	−	0.986227i	$-0.552890\pi$
$197$	10.6573	−	8.49890i	0.759300	−	0.605522i	0.924696	+	0.380706i	$0.124319\pi$
$198$	14.2624	+	12.8510i	1.01359	+	0.913281i
$199$	1.39696	−	0.318846i	0.0990276	−	0.0226024i	−0.172720	−	0.984971i	$-0.555256\pi$
$199$	1.39696	−	0.318846i	0.0990276	−	0.0226024i	0.271748	+	0.962369i	$0.412398\pi$
$200$	−29.6428	+	5.46885i	−2.09606	+	0.386706i
$201$	3.55209	−	0.0507911i	0.250545	−	0.00358253i
$202$	−3.14256	−	23.0307i	−0.221110	−	1.62044i
$203$	−2.16288	−	14.2177i	−0.151804	−	0.997886i
$204$	2.61529	−	3.72543i	0.183107	−	0.260832i
$205$	−19.1775	−	15.2935i	−1.33941	−	1.06815i
$206$	0.750834	−	8.43442i	0.0523131	−	0.587654i
$207$	21.1584	−	0.605209i	1.47061	−	0.0420649i
$208$	−1.30079	+	9.89224i	−0.0901932	+	0.685903i
$209$	−6.80463	+	5.42651i	−0.470686	+	0.375360i
$210$	21.3818	−	14.5876i	1.47548	−	1.00664i
$211$	12.2208	+	5.88524i	0.841317	+	0.405157i	0.804347	−	0.594159i	$-0.202515\pi$
$211$	12.2208	+	5.88524i	0.841317	+	0.405157i	0.0369698	+	0.999316i	$0.488229\pi$
$212$	2.27176	−	12.6587i	0.156025	−	0.869403i
$213$	10.9994	+	8.51733i	0.753667	+	0.583598i
$214$	−0.775676	−	1.17261i	−0.0530241	−	0.0801582i
$215$			13.1535i			0.897063i
$216$	−3.25698	+	14.3315i	−0.221610	+	0.975135i
$217$	−1.28069	+	1.02132i	−0.0869389	+	0.0693315i
$218$	−11.8745	+	12.4440i	−0.804244	+	0.842815i
$219$	0.320779	+	0.148867i	0.0216762	+	0.0100595i
$220$	−34.5011	+	9.59405i	−2.32607	+	0.646830i
$221$	2.95295	−	1.42207i	0.198637	−	0.0956585i
$222$	−19.4628	−	11.2287i	−1.30625	−	0.753624i
$223$	6.13106	−	12.7313i	0.410566	−	0.852549i	−0.588465	−	0.808523i	$-0.700267\pi$
$223$	6.13106	−	12.7313i	0.410566	−	0.852549i	0.999030	−	0.0440258i	$-0.0140184\pi$
$224$	14.7115	−	3.43324i	0.982955	−	0.229393i
$225$	−29.1902	−	13.0426i	−1.94601	−	0.869509i
$226$	−3.51609	+	3.68472i	−0.233887	+	0.245104i
$227$	0.216297	−	0.271228i	0.0143562	−	0.0180021i	−0.774602	−	0.632450i	$-0.782050\pi$
$227$	0.216297	−	0.271228i	0.0143562	−	0.0180021i	0.788958	+	0.614447i	$0.210621\pi$
$228$	−6.16842	−	2.51880i	−0.408514	−	0.166812i
$229$	−2.93528	−	0.669959i	−0.193969	−	0.0442721i	0.124433	−	0.992228i	$-0.460289\pi$
$229$	−2.93528	−	0.669959i	−0.193969	−	0.0442721i	−0.318402	+	0.947956i	$0.603146\pi$
$230$	−20.2178	+	33.9139i	−1.33313	+	2.23622i
$231$	16.1759	−	13.2826i	1.06429	−	0.873930i
$232$	−14.3928	+	4.98477i	−0.944932	+	0.327266i
$233$		−	10.6981i		−	0.700855i	−0.936590	−	0.350427i	$-0.886036\pi$
$233$		−	10.6981i		−	0.700855i	0.936590	−	0.350427i	$-0.113964\pi$
$234$	−7.08392	+	7.86194i	−0.463090	+	0.513951i
$235$	1.80451	−	7.90606i	0.117713	−	0.515735i
$236$	13.6346	+	25.2194i	0.887534	+	1.64165i
$237$	0.121611	+	8.50488i	0.00789946	+	0.552451i
$238$	−3.59022	−	3.42592i	−0.232719	−	0.222069i
$239$	−0.995727	+	4.36257i	−0.0644082	+	0.282191i	−0.996868	−	0.0790828i	$-0.974801\pi$
$239$	−0.995727	+	4.36257i	−0.0644082	+	0.282191i	0.932460	+	0.361274i	$0.117658\pi$
$240$	−19.3023	−	19.4670i	−1.24596	−	1.25659i
$241$	4.54629	+	2.18938i	0.292853	+	0.141030i	0.574542	−	0.818475i	$-0.305180\pi$
$241$	4.54629	+	2.18938i	0.292853	+	0.141030i	−0.281689	+	0.959506i	$0.590895\pi$
$242$	−12.5418	+	4.72094i	−0.806215	+	0.303473i
$243$	−11.4622	+	10.5650i	−0.735299	+	0.677743i
$244$	−3.28000	−	11.7952i	−0.209980	−	0.755110i
$245$	−0.226195	−	0.469698i	−0.0144510	−	0.0300079i
$246$	1.13001	−	15.1423i	0.0720470	−	0.965437i
$247$	−2.99128	−	3.75095i	−0.190331	−	0.238667i
$248$	1.30984	+	1.13765i	0.0831751	+	0.0722406i
$249$	3.38839	−	2.78233i	0.214731	−	0.176323i
$250$	26.4031	−	17.4655i	1.66988	−	1.10461i
$251$	0.401480	−	0.0916351i	0.0253412	−	0.00578396i	−0.209832	−	0.977738i	$-0.567292\pi$
$251$	0.401480	−	0.0916351i	0.0253412	−	0.00578396i	0.235173	+	0.971954i	$0.424434\pi$
$252$	14.9192	+	5.84464i	0.939823	+	0.368178i
$253$	−13.8527	+	28.7654i	−0.870911	+	1.80847i
$254$	23.9478	+	2.13184i	1.50262	+	0.133763i
$255$	−1.87817	+	8.80744i	−0.117616	+	0.551543i
$256$	−6.40280	−	14.6630i	−0.400175	−	0.916439i
$257$	22.5645	−	5.15021i	1.40754	−	0.321261i	0.549777	−	0.835311i	$-0.314713\pi$
$257$	22.5645	−	5.15021i	1.40754	−	0.321261i	0.857760	+	0.514050i	$0.171855\pi$
$258$	−6.72627	+	4.58896i	−0.418759	+	0.285696i
$259$	−15.2738	+	19.1528i	−0.949068	+	1.19009i
$260$	−5.28857	−	19.0182i	−0.327983	−	1.17946i
$261$	−15.5735	−	4.29726i	−0.963975	−	0.265994i
$262$	3.36172	−	0.458709i	0.207688	−	0.0283392i
$263$	9.28357	+	7.40340i	0.572450	+	0.456513i	0.866430	−	0.499298i	$-0.166409\pi$
$263$	9.28357	+	7.40340i	0.572450	+	0.456513i	−0.293981	+	0.955811i	$0.594980\pi$
$264$	−16.9427	−	14.2956i	−1.04275	−	0.879833i
$265$	5.66200	+	24.8068i	0.347814	+	1.52387i
$266$	−3.71970	+	6.23951i	−0.228069	+	0.382569i
$267$	−19.5425	−	4.16741i	−1.19598	−	0.255042i
$268$	−4.09752	+	0.192015i	−0.250296	+	0.0117292i
$269$	−17.4166	−	8.38741i	−1.06191	−	0.511390i	−0.180420	−	0.983590i	$-0.557746\pi$
$269$	−17.4166	−	8.38741i	−1.06191	−	0.511390i	−0.881491	+	0.472200i	$0.843460\pi$
$270$	−5.16298	−	28.6152i	−0.314209	−	1.74147i
$271$	4.18055	+	18.3162i	0.253951	+	1.11263i	0.927599	+	0.373578i	$0.121869\pi$
$271$	4.18055	+	18.3162i	0.253951	+	1.11263i	−0.673648	+	0.739052i	$0.735274\pi$
$272$	−2.87837	+	4.39770i	−0.174527	+	0.266650i
$273$	7.32182	+	8.91670i	0.443137	+	0.539663i
$274$	6.49652	+	9.82100i	0.392469	+	0.593308i
$275$	37.7030	−	30.0671i	2.27358	−	1.81312i
$276$	−24.3960	+	1.49307i	−1.46847	+	0.0898720i
$277$	13.6688	−	6.58256i	0.821281	−	0.395508i	0.0244429	−	0.999701i	$-0.492219\pi$
$277$	13.6688	−	6.58256i	0.821281	−	0.395508i	0.796838	+	0.604193i	$0.206505\pi$
$278$	0.839257	−	0.114517i	0.0503353	−	0.00686829i
$279$	0.460600	+	1.78158i	0.0275754	+	0.106660i
$280$	−24.1286	+	17.6384i	−1.44196	+	1.05410i
$281$	−7.44467	+	15.4590i	−0.444112	+	0.922208i	0.551978	+	0.833859i	$0.313873\pi$
$281$	−7.44467	+	15.4590i	−0.444112	+	0.922208i	−0.996090	+	0.0883488i	$0.971841\pi$
$282$	4.67245	−	1.83548i	0.278240	−	0.109301i
$283$	0.461342	+	0.105298i	0.0274239	+	0.00625933i	0.236211	−	0.971702i	$-0.424094\pi$
$283$	0.461342	+	0.105298i	0.0274239	+	0.00625933i	−0.208787	+	0.977961i	$0.566952\pi$
$284$	−13.0142	−	9.41668i	−0.772249	−	0.558777i
$285$	13.1809	−	0.188472i	0.780766	−	0.0111641i
$286$	−5.62327	−	14.9389i	−0.332511	−	0.883357i
$287$	−16.1396	−	3.68375i	−0.952689	−	0.217445i
$288$	3.22063	−	16.6622i	0.189778	−	0.981827i
$289$	−15.2735			−0.898438
$290$	22.3473	−	20.2166i	1.31228	−	1.18716i
$291$	7.03261	+	8.56449i	0.412259	+	0.502059i
$292$	−0.375798	−	0.159759i	−0.0219919	−	0.00934920i
$293$	−3.07642	+	13.4787i	−0.179726	+	0.787432i	0.802029	+	0.597285i	$0.203754\pi$
$293$	−3.07642	+	13.4787i	−0.179726	+	0.787432i	−0.981756	+	0.190148i	$0.939103\pi$
$294$	0.161274	−	0.279535i	0.00940567	−	0.0163028i
$295$	−44.3460	−	35.3648i	−2.58193	−	2.05902i
$296$	22.8835	+	12.2281i	1.33007	+	0.710741i
$297$	−6.21022	−	22.6778i	−0.360354	−	1.31590i
$298$	14.2567	+	4.61695i	0.825870	+	0.267453i
$299$	−15.8565	−	7.63608i	−0.917004	−	0.441606i
$300$	34.1779	+	13.9561i	1.97326	+	0.805759i
$301$	3.85174	+	7.99822i	0.222011	+	0.461010i
$302$	−26.7293	+	3.64724i	−1.53810	+	0.209875i
$303$	−11.9839	+	25.8229i	−0.688456	+	1.48349i
$304$	7.21351	+	2.67527i	0.413723	+	0.153437i
$305$	15.1020	+	18.9373i	0.864739	+	1.08435i
$306$	−5.15908	+	2.11228i	−0.294925	+	0.120751i
$307$	11.7035			0.667951			0.333976	−	0.942582i	$-0.391610\pi$
$307$	11.7035			0.667951			0.333976	+	0.942582i	$0.391610\pi$
$308$	−18.1696	+	15.9368i	−1.03531	+	0.908082i
$309$	−6.34954	+	8.19989i	−0.361213	+	0.466475i
$310$	−3.26549	−	1.05751i	−0.185467	−	0.0600624i
$311$	−5.55476	+	11.5346i	−0.314982	+	0.654066i	−0.997011	−	0.0772586i	$-0.975383\pi$
$311$	−5.55476	+	11.5346i	−0.314982	+	0.654066i	0.682029	+	0.731325i	$0.261098\pi$
$312$	7.88022	−	9.33942i	0.446130	−	0.528741i
$313$	1.68219	+	2.10940i	0.0950829	+	0.119230i	0.827097	−	0.562060i	$-0.189991\pi$
$313$	1.68219	+	2.10940i	0.0950829	+	0.119230i	−0.732014	+	0.681290i	$0.761419\pi$
$314$	16.7141	−	28.0367i	0.943234	−	1.58220i
$315$	−31.6883	+	0.906401i	−1.78543	+	0.0510699i
$316$	−0.459748	−	9.81083i	−0.0258629	−	0.551902i
$317$	−9.54548	+	11.9697i	−0.536128	+	0.672283i	−0.973946	−	0.226781i	$-0.927180\pi$
$317$	−9.54548	+	11.9697i	−0.536128	+	0.672283i	0.437818	+	0.899063i	$0.355751\pi$
$318$	−10.7100	+	11.5499i	−0.600590	+	0.647686i
$319$	16.5500	−	17.8857i	0.926621	−	1.00141i
$320$	23.0077	+	21.7418i	1.28617	+	1.21540i
$321$	0.0246192	+	1.72175i	0.00137411	+	0.0960989i
$322$	−2.36280	+	26.5423i	−0.131674	+	1.47915i
$323$	−0.562381	−	2.46395i	−0.0312917	−	0.137098i
$324$	12.8316	−	12.6234i	0.712868	−	0.701298i
$325$	16.5740	+	20.7832i	0.919362	+	1.15284i
$326$	−0.536116	−	0.0477252i	−0.0296927	−	0.00264325i
$327$	20.4689	−	4.98084i	1.13194	−	0.275441i
$328$	−0.735472	+	17.5180i	−0.0406096	+	0.967269i
$329$	−1.21787	−	5.33583i	−0.0671432	−	0.294174i
$330$	41.9139	+	12.9144i	2.30729	+	0.710917i
$331$	16.9026			0.929053			0.464526	−	0.885559i	$-0.346225\pi$
$331$	16.9026			0.929053			0.464526	+	0.885559i	$0.346225\pi$
$332$	−3.80602	+	3.33831i	−0.208883	+	0.183214i
$333$	12.6443	+	24.4427i	0.692904	+	1.33945i
$334$	19.4844	−	20.4188i	1.06614	−	1.11727i
$335$	7.31196	−	3.52126i	0.399495	−	0.192387i
$336$	−17.4376	−	6.18495i	−0.951300	−	0.337417i
$337$	10.6752	+	22.1673i	0.581517	+	1.20753i	0.959497	+	0.281718i	$0.0909043\pi$
$337$	10.6752	+	22.1673i	0.581517	+	1.20753i	−0.377981	+	0.925813i	$0.623381\pi$
$338$	−8.97133	+	3.37696i	−0.487976	+	0.183683i
$339$	6.06094	−	1.47485i	0.329185	−	0.0801027i
$340$	1.83682	−	10.2351i	0.0996155	−	0.555077i
$341$	−2.70599	−	0.617625i	−0.146538	−	0.0334463i
$342$	4.69488	+	6.67449i	0.253870	+	0.360915i
$343$	14.3403	+	11.4360i	0.774302	+	0.617485i
$344$	7.59038	−	5.54868i	0.409246	−	0.299165i
$345$	43.2635	−	21.6020i	2.32923	−	1.16301i
$346$	−7.74958	+	12.9993i	−0.416620	+	0.698849i
$347$	−13.0813			−0.702240			−0.351120	−	0.936330i	$-0.614199\pi$
$347$	−13.0813			−0.702240			−0.351120	+	0.936330i	$0.614199\pi$
$348$	18.1346	+	4.37456i	0.972116	+	0.234501i
$349$	6.46964			0.346312			0.173156	−	0.984894i	$-0.444604\pi$
$349$	6.46964			0.346312			0.173156	+	0.984894i	$0.444604\pi$
$350$	20.6100	−	34.5718i	1.10165	−	1.84794i
$351$	12.5008	−	3.42329i	0.667241	−	0.182722i
$352$	20.0903	+	15.8621i	1.07082	+	0.845453i
$353$	−1.91879	−	1.53019i	−0.102127	−	0.0814437i	0.571095	−	0.820884i	$-0.306519\pi$
$353$	−1.91879	−	1.53019i	−0.102127	−	0.0814437i	−0.673222	+	0.739440i	$0.735090\pi$
$354$	2.61304	−	35.0151i	0.138882	−	1.86103i
$355$	30.9845	+	7.07201i	1.64449	+	0.375343i
$356$	22.7103	+	4.07565i	1.20364	+	0.216009i
$357$	1.43702	+	5.90550i	0.0760553	+	0.312552i
$358$	−10.6816	+	4.02073i	−0.564539	+	0.212502i
$359$	13.6784	+	28.4035i	0.721919	+	1.49908i	0.860894	+	0.508784i	$0.169905\pi$
$359$	13.6784	+	28.4035i	0.721919	+	1.49908i	−0.138975	+	0.990296i	$0.544381\pi$
$360$	7.03317	+	32.8306i	0.370681	+	1.73033i
$361$	13.7853	−	6.63864i	0.725541	−	0.349402i
$362$	12.4414	−	13.0381i	0.653905	−	0.685266i
$363$	16.0517	+	3.42301i	0.842497	+	0.179661i
$364$	−8.78490	−	10.0157i	−0.460454	−	0.524965i
$365$	0.807897			0.0422873
$366$	−4.41517	+	14.3295i	−0.230784	+	0.749013i
$367$	2.55180	+	11.1802i	0.133203	+	0.583600i	0.996836	+	0.0794798i	$0.0253259\pi$
$367$	2.55180	+	11.1802i	0.133203	+	0.583600i	−0.863634	+	0.504120i	$0.831817\pi$
$368$	28.0991	−	2.63932i	1.46477	−	0.137584i
$369$	−11.1746	+	14.8653i	−0.581726	+	0.773857i
$370$	−51.1302	−	4.55162i	−2.65813	−	0.236628i
$371$	10.7071	+	13.4262i	0.555882	+	0.697055i
$372$	−0.598480	−	2.03880i	−0.0310298	−	0.105707i
$373$	−0.789206	−	3.45774i	−0.0408635	−	0.179035i	0.950378	−	0.311098i	$-0.100697\pi$
$373$	−0.789206	−	3.45774i	−0.0408635	−	0.179035i	−0.991241	+	0.132064i	$0.957840\pi$
$374$	0.745590	−	8.37551i	0.0385535	−	0.433087i
$375$	−38.7679	+	0.554339i	−2.00196	+	0.0286259i
$376$	−5.32349	+	2.29378i	−0.274538	+	0.118293i
$377$	9.85920	+	9.12292i	0.507775	+	0.469854i
$378$	−11.5188	−	15.8881i	−0.592464	−	0.817195i
$379$	−20.7427	+	26.0105i	−1.06548	+	1.33607i	−0.126550	+	0.991960i	$0.540390\pi$
$379$	−20.7427	+	26.0105i	−1.06548	+	1.33607i	−0.938930	+	0.344109i	$0.888181\pi$
$380$	−15.2048	+	0.712517i	−0.779990	+	0.0365514i
$381$	−23.2819	−	18.0282i	−1.19277	−	0.923612i
$382$	−6.26387	+	10.5072i	−0.320487	+	0.537593i
$383$	−12.4521	−	15.6145i	−0.636274	−	0.797862i	0.354258	−	0.935148i	$-0.384734\pi$
$383$	−12.4521	−	15.6145i	−0.636274	−	0.797862i	−0.990531	+	0.137286i	$0.956162\pi$
$384$	−3.09116	+	19.3506i	−0.157745	+	0.987480i
$385$	20.7467	−	43.0810i	1.05735	−	2.19561i
$386$	21.3390	+	6.91049i	1.08613	+	0.351735i
$387$	9.96848	−	0.285135i	0.506726	−	0.0144942i
$388$	−8.43790	−	9.62008i	−0.428369	−	0.488386i
$389$	−4.99316			−0.253163			−0.126582	−	0.991956i	$-0.540401\pi$
$389$	−4.99316			−0.253163			−0.126582	+	0.991956i	$0.540401\pi$
$390$	−7.11889	+	23.1044i	−0.360479	+	1.16994i
$391$	−5.78041	−	7.24840i	−0.292328	−	0.366567i
$392$	−0.175626	+	0.328665i	−0.00887047	+	0.0166001i
$393$	−3.76928	−	1.74925i	−0.190135	−	0.0882380i
$394$	19.1004	−	2.60627i	0.962264	−	0.131302i
$395$	8.43106	+	17.5073i	0.424212	+	0.880886i
$396$	8.01881	+	25.9389i	0.402960	+	1.30348i
$397$	11.8739	+	5.71816i	0.595933	+	0.286986i	0.707435	−	0.706778i	$-0.249852\pi$
$397$	11.8739	+	5.71816i	0.595933	+	0.286986i	−0.111503	+	0.993764i	$0.535566\pi$
$398$	1.92783	+	0.624315i	0.0966334	+	0.0312941i
$399$	7.95965	−	3.97435i	0.398481	−	0.198966i
$400$	−39.9685	−	14.8231i	−1.99842	−	0.741155i
$401$	−14.9183	−	11.8969i	−0.744984	−	0.594105i	0.175686	−	0.984446i	$-0.443786\pi$
$401$	−14.9183	−	11.8969i	−0.744984	−	0.594105i	−0.920670	+	0.390341i	$0.872357\pi$
$402$	4.35163	+	2.51061i	0.217040	+	0.125218i
$403$	0.340456	−	1.49164i	0.0169593	−	0.0743037i
$404$	12.8607	−	30.2520i	0.639844	−	1.50509i
$405$	−13.5923	+	32.9163i	−0.675406	+	1.63562i
$406$	7.66865	−	18.8370i	0.380589	−	0.934866i
$407$	−41.5089			−2.05752
$408$	5.87472	−	2.63151i	0.290842	−	0.130279i
$409$	24.3789	+	5.56433i	1.20546	+	0.275138i	0.777630	−	0.628722i	$-0.216421\pi$
$409$	24.3789	+	5.56433i	1.20546	+	0.275138i	0.427829	+	0.903860i	$0.359279\pi$
$410$	−12.2205	−	32.4653i	−0.603527	−	1.60335i
$411$	−0.206194	−	14.4202i	−0.0101708	−	0.711297i
$412$	7.01999	−	9.70186i	0.345850	−	0.477976i
$413$	−37.3212	−	8.51832i	−1.83646	−	0.419159i
$414$	26.1402	+	14.5871i	1.28472	+	0.716915i
$415$	4.34586	−	9.02426i	0.213330	−	0.442984i
$416$	−8.74374	+	11.0745i	−0.428697	+	0.542971i
$417$	−0.941006	−	0.436702i	−0.0460813	−	0.0213854i
$418$	−12.1955	+	1.66409i	−0.596503	+	0.0813933i
$419$	−12.6290	+	6.08183i	−0.616969	+	0.297117i	−0.716143	−	0.697953i	$-0.754094\pi$
$419$	−12.6290	+	6.08183i	−0.616969	+	0.297117i	0.0991739	+	0.995070i	$0.468380\pi$
$420$	36.5370	−	2.23611i	1.78283	−	0.109111i
$421$	−10.3060	+	8.21879i	−0.502286	+	0.400560i	−0.841590	−	0.540117i	$-0.818380\pi$
$421$	−10.3060	+	8.21879i	−0.502286	+	0.400560i	0.339304	+	0.940677i	$0.389808\pi$
$422$	10.5832	+	15.9989i	0.515181	+	0.778816i
$423$	−6.03078	−	1.19617i	−0.293227	−	0.0581600i
$424$	11.9266	−	13.7318i	0.579207	−	0.666877i
$425$	3.11603	+	13.6522i	0.151150	+	0.662230i
$426$	7.19340	+	18.3117i	0.348521	+	0.887205i
$427$	14.7284	+	7.09284i	0.712759	+	0.343247i
$428$	−0.0930728	−	1.98613i	−0.00449885	−	0.0960034i
$429$	−4.07726	+	19.1197i	−0.196852	+	0.923110i
$430$	−9.52534	+	15.9780i	−0.459353	+	0.770530i
$431$	0.207719	+	0.910076i	0.0100055	+	0.0438368i	0.979684	−	0.200546i	$-0.0642717\pi$
$431$	0.207719	+	0.910076i	0.0100055	+	0.0438368i	−0.969679	+	0.244383i	$0.921415\pi$
$432$	−14.3348	+	15.0504i	−0.689682	+	0.724112i
$433$	−31.4691	−	25.0957i	−1.51231	−	1.20602i	−0.914633	−	0.404284i	$-0.867521\pi$
$433$	−31.4691	−	25.0957i	−1.51231	−	1.20602i	−0.597673	−	0.801740i	$-0.703908\pi$
$434$	−2.29530	+	0.313196i	−0.110178	+	0.0150339i
$435$	−36.4048	+	6.07186i	−1.74547	+	0.291124i
$436$	−23.4359	+	6.51705i	−1.12238	+	0.312110i
$437$	−8.46135	+	10.6102i	−0.404761	+	0.507555i
$438$	0.281857	+	0.413132i	0.0134676	+	0.0197402i
$439$	−5.09874	+	1.16375i	−0.243350	+	0.0555430i	−0.342456	−	0.939534i	$-0.611259\pi$
$439$	−5.09874	+	1.16375i	−0.243350	+	0.0555430i	0.0991063	+	0.995077i	$0.468402\pi$
$440$	−48.8575	−	13.3304i	−2.32919	−	0.635500i
$441$	−0.351060	+	0.181605i	−0.0167172	+	0.00864785i
$442$	4.61687	+	0.410995i	0.219602	+	0.0195490i
$443$	14.6962	−	30.5170i	0.698239	−	1.44991i	−0.185844	−	0.982579i	$-0.559502\pi$
$443$	14.6962	−	30.5170i	0.698239	−	1.44991i	0.884083	−	0.467329i	$-0.154784\pi$
$444$	−15.5106	−	27.7342i	−0.736101	−	1.31621i
$445$	−44.5047	+	10.1579i	−2.10972	+	0.481531i
$446$	16.6672	−	11.0252i	0.789214	−	0.522059i
$447$	−11.6473	−	14.1844i	−0.550898	−	0.670898i
$448$	20.3568	+	6.48312i	0.961771	+	0.306299i
$449$	−2.23123	−	2.79787i	−0.105298	−	0.132040i	0.726390	−	0.687283i	$-0.241197\pi$
$449$	−2.23123	−	2.79787i	−0.105298	−	0.132040i	−0.831688	+	0.555243i	$0.812625\pi$
$450$	−26.0133	−	36.9819i	−1.22628	−	1.74334i
$451$	−12.1707	−	25.2727i	−0.573096	−	1.19005i
$452$	−6.93948	+	1.92972i	−0.326406	+	0.0907666i
$453$	29.9699	+	13.9084i	1.40811	+	0.653475i
$454$	0.459159	−	0.172835i	0.0215494	−	0.00811156i
$455$	23.7477	+	11.4363i	1.11331	+	0.536142i
$456$	−5.66897	−	7.52665i	−0.265474	−	0.352468i
$457$	6.27374	−	27.4870i	0.293473	−	1.28579i	−0.586183	−	0.810179i	$-0.699370\pi$
$457$	6.27374	−	27.4870i	0.293473	−	1.28579i	0.879656	−	0.475611i	$-0.157773\pi$
$458$	−3.08043	−	2.93946i	−0.143939	−	0.137352i
$459$	6.71549	+	1.23246i	0.313452	+	0.0575265i
$460$	−49.1187	+	26.5554i	−2.29017	+	1.23815i
$461$	6.68822	−	29.3030i	0.311501	−	1.36478i	−0.540547	−	0.841314i	$-0.681783\pi$
$461$	6.68822	−	29.3030i	0.311501	−	1.36478i	0.852048	−	0.523463i	$-0.175360\pi$
$462$	29.2682	−	4.42080i	1.36168	−	0.205674i
$463$			9.62914i			0.447504i	0.974646	+	0.223752i	$0.0718306\pi$
$463$			9.62914i			0.447504i	−0.974646	+	0.223752i	$0.928169\pi$
$464$	−21.0932	−	4.36760i	−0.979228	−	0.202761i
$465$	2.66780	+	3.24891i	0.123716	+	0.150665i
$466$	7.74720	−	12.9953i	0.358882	−	0.601998i
$467$	−1.21237	−	0.276716i	−0.0561019	−	0.0128049i	0.194378	−	0.980927i	$-0.437731\pi$
$467$	−1.21237	−	0.276716i	−0.0561019	−	0.0128049i	−0.250480	+	0.968122i	$0.580588\pi$
$468$	−14.2984	+	4.42025i	−0.660946	+	0.204326i
$469$	3.41503	−	4.28232i	0.157692	−	0.197739i
$470$	7.91731	−	8.29701i	0.365198	−	0.382713i
$471$	−35.7660	+	17.8584i	−1.64801	+	0.822872i
$472$	−1.70071	+	40.5086i	−0.0782814	+	1.86456i
$473$	−6.52649	+	13.5524i	−0.300088	+	0.623140i
$474$	−6.01123	+	10.4192i	−0.276105	+	0.478572i
$475$	18.4681	−	8.89377i	0.847375	−	0.408074i
$476$	−1.88023	−	6.76150i	−0.0861803	−	0.309913i
$477$	18.6773	−	4.82874i	0.855175	−	0.221093i
$478$	−4.36877	+	4.57829i	−0.199823	+	0.209406i
$479$	−15.9536	+	12.7226i	−0.728939	+	0.581310i	−0.916067	−	0.401026i	$-0.868654\pi$
$479$	−15.9536	+	12.7226i	−0.728939	+	0.581310i	0.187128	+	0.982336i	$0.440082\pi$
$480$	−9.34986	−	37.6254i	−0.426761	−	1.71736i
$481$		−	22.8811i		−	1.04329i
$482$	3.93707	+	5.95179i	0.179329	+	0.271097i
$483$	19.9814	−	25.8043i	0.909185	−	1.17413i
$484$	−18.6537	−	3.34764i	−0.847894	−	0.152165i
$485$	22.8097	+	10.9846i	1.03573	+	0.498783i
$486$	−21.5743	+	4.53310i	−0.978631	+	0.205626i
$487$	26.9006	−	21.4525i	1.21898	−	0.972108i	0.218991	−	0.975727i	$-0.429723\pi$
$487$	26.9006	−	21.4525i	1.21898	−	0.972108i	0.999993	+	0.00361904i	$0.00115198\pi$
$488$	4.55736	−	16.7033i	0.206302	−	0.756123i
$489$	0.521209	+	0.403595i	0.0235699	+	0.0182512i
$490$	0.0653730	−	0.734361i	0.00295325	−	0.0331751i
$491$	14.4778	+	11.5457i	0.653375	+	0.521049i	0.893138	−	0.449782i	$-0.148498\pi$
$491$	14.4778	+	11.5457i	0.653375	+	0.521049i	−0.239763	+	0.970831i	$0.577070\pi$
$492$	12.3382	−	17.5756i	0.556249	−	0.792367i
$493$	2.59417	+	6.58332i	0.116835	+	0.296498i
$494$	−0.917304	−	6.72260i	−0.0412714	−	0.302464i
$495$	−34.6781	−	41.0216i	−1.55866	−	1.84379i
$496$	0.767267	+	2.33048i	0.0344513	+	0.104642i
$497$	20.9115	−	4.77292i	0.938011	−	0.214095i
$498$	6.13088	−	0.926034i	0.274731	−	0.0414966i
$499$	28.0870	−	22.3986i	1.25735	−	1.00270i	0.258014	−	0.966141i	$-0.416932\pi$
$499$	28.0870	−	22.3986i	1.25735	−	1.00270i	0.999332	−	0.0365583i	$-0.0116395\pi$
$500$	44.7208	−	2.09567i	1.99997	−	0.0937214i
$501$	−33.5866	+	8.17284i	−1.50054	+	0.365136i
$502$	0.554051	+	0.179426i	0.0247285	+	0.00800817i
$503$	12.1238	−	2.76717i	0.540572	−	0.123382i	0.0564877	−	0.998403i	$-0.482010\pi$
$503$	12.1238	−	2.76717i	0.540572	−	0.123382i	0.484085	+	0.875021i	$0.339153\pi$
$504$	13.8904	+	17.9037i	0.618728	+	0.797494i
$505$			65.0361i			2.89407i
$506$	−37.6583	+	24.9107i	−1.67412	+	1.10742i
$507$	11.4821	+	2.44853i	0.509936	+	0.108743i
$508$	27.5464	+	19.9318i	1.22217	+	0.884330i
$509$	−18.6506	−	38.7284i	−0.826673	−	1.71660i	−0.687312	−	0.726362i	$-0.741209\pi$
$509$	−18.6506	−	38.7284i	−0.826673	−	1.71660i	−0.139361	−	0.990242i	$-0.544505\pi$
$510$	−8.65954	+	9.33860i	−0.383451	+	0.413520i
$511$	0.491255	−	0.236576i	0.0217319	−	0.0104655i
$512$	2.84077	−	22.4484i	0.125545	−	0.992088i
$513$	−0.428563	−	9.98511i	−0.0189215	−	0.440853i
$514$	31.1396	+	10.0843i	1.37351	+	0.444802i
$515$	−5.27208	+	23.0985i	−0.232315	+	1.01784i
$516$	−11.4938	+	0.703436i	−0.505987	+	0.0309670i
$517$	5.78204	−	7.25045i	0.254294	−	0.318875i
$518$	−32.4234	+	12.2047i	−1.42460	+	0.536246i
$519$	16.5831	−	8.28012i	0.727916	−	0.363457i
$520$	7.34815	−	26.9319i	0.322238	−	1.18104i
$521$			8.98409i			0.393600i	0.980444	+	0.196800i	$0.0630550\pi$
$521$			8.98409i			0.393600i	−0.980444	+	0.196800i	$0.936945\pi$
$522$	−15.8057	−	16.4978i	−0.691798	−	0.722091i
$523$		−	14.4510i		−	0.631899i	−0.948776	−	0.315949i	$-0.897677\pi$
$523$		−	14.4510i		−	0.631899i	0.948776	−	0.315949i	$-0.102323\pi$
$524$	4.41578	+	1.87724i	0.192904	+	0.0820074i
$525$	−44.1027	+	22.0210i	−1.92480	+	0.961075i
$526$	5.91579	+	15.7160i	0.257941	+	0.685252i
$527$	0.502518	−	0.630137i	0.0218900	−	0.0274492i
$528$	−10.2286	−	29.6347i	−0.445141	−	1.28969i
$529$	−5.95974	+	26.1113i	−0.259119	+	1.13527i
$530$	−11.0865	+	34.2340i	−0.481565	+	1.48703i
$531$	−25.8401	+	34.3746i	−1.12137	+	1.49173i
$532$	−9.03689	+	4.88567i	−0.391799	+	0.211821i
$533$	13.9312	−	6.70892i	0.603428	−	0.290595i
$534$	−20.7211	−	19.2143i	−0.896689	−	0.831486i
$535$	1.70681	+	3.54422i	0.0737918	+	0.153230i
$536$	−5.11646	−	2.73404i	−0.220997	−	0.118093i
$537$	13.6709	+	2.91531i	0.589945	+	0.125805i
$538$	−15.0827	−	22.8010i	−0.650263	−	0.983023i
$539$		−	0.596174i		−	0.0256790i
$540$	14.4505	−	38.4988i	0.621852	−	1.65672i
$541$	−7.65478	+	1.74715i	−0.329105	+	0.0751160i	−0.383881	−	0.923383i	$-0.625413\pi$
$541$	−7.65478	+	1.74715i	−0.329105	+	0.0751160i	0.0547762	+	0.998499i	$0.482555\pi$
$542$	−8.18572	+	25.2768i	−0.351607	+	1.08573i
$543$	−21.4461	+	5.21862i	−0.920340	+	0.223952i
$544$	−6.68112	+	3.25762i	−0.286451	+	0.139669i
$545$	37.6267	−	30.0063i	1.61175	−	1.28533i
$546$	2.43690	+	16.1336i	0.104290	+	0.690456i
$547$	−26.7664	+	6.10925i	−1.14445	+	0.261212i	−0.752383	−	0.658726i	$-0.771096\pi$
$547$	−26.7664	+	6.10925i	−1.14445	+	0.261212i	−0.392063	+	0.919938i	$0.628239\pi$
$548$	0.779514	+	16.6345i	0.0332992	+	0.710590i
$549$	14.0244	−	11.8557i	0.598547	−	0.505988i
$550$	67.5728	−	9.22036i	2.88131	−	0.393157i
$551$	8.55006	−	5.84649i	0.364245	−	0.249069i
$552$	−30.7159	−	15.8531i	−1.30736	−	0.674752i
$553$	10.2533	+	8.17673i	0.436014	+	0.347710i
$554$	21.3709	+	1.90244i	0.907962	+	0.0808270i
$555$	49.7084	+	38.4915i	2.11001	+	1.63387i
$556$	1.10241	+	0.468654i	0.0467524	+	0.0198754i
$557$	30.3878	−	24.2335i	1.28757	−	1.02681i	0.290011	−	0.957023i	$-0.406341\pi$
$557$	30.3878	−	24.2335i	1.28757	−	1.02681i	0.997562	−	0.0697818i	$-0.0222303\pi$
$558$	−0.730651	+	2.49770i	−0.0309309	+	0.105736i
$559$	−7.47055	−	3.59763i	−0.315971	−	0.152163i
$560$	−42.0831	+	3.95281i	−1.77833	+	0.167037i
$561$	−6.30519	+	8.14261i	−0.266205	+	0.343781i
$562$	−20.2382	+	13.3874i	−0.853697	+	0.564715i
$563$			13.1309i			0.553403i	0.960956	+	0.276701i	$0.0892413\pi$
$563$			13.1309i			0.553403i	−0.960956	+	0.276701i	$0.910759\pi$
$564$	7.00498	+	1.15401i	0.294963	+	0.0485925i
$565$	11.1414	−	8.88499i	0.468723	−	0.373794i
$566$	0.484155	+	0.461998i	0.0203505	+	0.0194192i
$567$	1.37384	+	23.9955i	0.0576960	+	1.00772i
$568$	−8.98952	−	20.8632i	−0.377192	−	0.875401i
$569$	−26.3048	+	12.6677i	−1.10276	+	0.531059i	−0.894524	−	0.447020i	$-0.852485\pi$
$569$	−26.3048	+	12.6677i	−1.10276	+	0.531059i	−0.208232	+	0.978080i	$0.566771\pi$
$570$	16.1477	+	9.31619i	0.676354	+	0.390212i
$571$	14.4708	−	30.0489i	0.605583	−	1.25751i	−0.342510	−	0.939514i	$-0.611277\pi$
$571$	14.4708	−	30.0489i	0.605583	−	1.25751i	0.948093	−	0.317993i	$-0.103009\pi$
$572$	3.98748	−	22.2190i	0.166725	−	0.929024i
$573$	13.4038	−	6.69269i	0.559953	−	0.279591i
$574$	−16.9377	−	16.1625i	−0.706965	−	0.674611i
$575$	46.8825	−	58.7888i	1.95514	−	2.45166i
$576$	15.9784	−	17.9078i	0.665767	−	0.746160i
$577$	−7.88359	−	1.79938i	−0.328198	−	0.0749091i	0.0552470	−	0.998473i	$-0.482405\pi$
$577$	−7.88359	−	1.79938i	−0.328198	−	0.0749091i	−0.383445	+	0.923564i	$0.625263\pi$
$578$	−18.5532	−	11.0605i	−0.771712	−	0.460057i
$579$	−17.4333	−	21.2307i	−0.724502	−	0.882317i
$580$	41.7863	−	8.37465i	1.73508	−	0.347738i
$581$		−	6.75995i		−	0.280450i
$582$	2.34064	+	15.4964i	0.0970227	+	0.642345i
$583$	−6.47492	+	28.3685i	−0.268164	+	1.17490i
$584$	−0.340803	−	0.466206i	−0.0141025	−	0.0192917i
$585$	22.6125	−	19.1157i	0.934914	−	0.790339i
$586$	−13.4978	+	14.1452i	−0.557591	+	0.584332i
$587$	6.58866	−	28.8668i	0.271943	−	1.19146i	−0.635773	−	0.771876i	$-0.719319\pi$
$587$	6.58866	−	28.8668i	0.271943	−	1.19146i	0.907716	−	0.419585i	$-0.137824\pi$
$588$	0.398335	−	0.222772i	0.0164271	−	0.00918698i
$589$	−1.06295	−	0.511890i	−0.0437981	−	0.0210921i
$590$	−28.2587	−	75.0728i	−1.16339	−	3.09070i
$591$	−21.4161	−	9.93877i	−0.880939	−	0.408826i
$592$	18.9422	+	31.4253i	0.778519	+	1.29157i
$593$	−10.7228	−	22.2661i	−0.440332	−	0.914359i	−0.996524	−	0.0833049i	$-0.973452\pi$
$593$	−10.7228	−	22.2661i	−0.440332	−	0.914359i	0.556192	−	0.831054i	$-0.312262\pi$
$594$	8.87871	−	32.0447i	0.364298	−	1.31481i
$595$	8.65712	+	10.8557i	0.354907	+	0.445039i
$596$	13.9747	+	15.9326i	0.572427	+	0.652626i
$597$	−1.57498	−	1.91804i	−0.0644594	−	0.0785004i
$598$	−13.7316	−	20.7586i	−0.561528	−	0.848880i
$599$	−27.1901	+	6.20596i	−1.11096	+	0.253569i	−0.738348	−	0.674420i	$-0.764394\pi$
$599$	−27.1901	+	6.20596i	−1.11096	+	0.253569i	−0.372609	+	0.927989i	$0.621537\pi$
$600$	31.4105	+	41.7035i	1.28233	+	1.70254i
$601$	10.1200	−	21.0145i	0.412805	−	0.857198i	−0.586092	−	0.810244i	$-0.699334\pi$
$601$	10.1200	−	21.0145i	0.412805	−	0.857198i	0.998897	−	0.0469537i	$-0.0149513\pi$
$602$	−1.11320	+	12.5050i	−0.0453707	+	0.509667i
$603$	−2.82711	−	5.46509i	−0.115129	−	0.222556i
$604$	−35.1103	−	14.9261i	−1.42862	−	0.607333i
$605$	36.5550	−	8.34344i	1.48617	−	0.339209i
$606$	−33.2573	+	22.6896i	−1.35099	+	0.921703i
$607$	−15.5631	+	19.5155i	−0.631688	+	0.792112i	−0.989936	−	0.141515i	$-0.954803\pi$
$607$	−15.5631	+	19.5155i	−0.631688	+	0.792112i	0.358248	+	0.933626i	$0.383374\pi$
$608$	6.82516	+	8.47353i	0.276797	+	0.343647i
$609$	−20.3585	+	14.3525i	−0.824968	+	0.581592i
$610$	4.63117	+	33.9402i	0.187511	+	1.37420i
$611$	3.99670	+	3.18726i	0.161689	+	0.128943i
$612$	−7.79656	−	1.17017i	−0.315157	−	0.0473015i
$613$	2.58896	+	11.3430i	0.104567	+	0.458139i	0.999918	+	0.0127780i	$0.00406748\pi$
$613$	2.58896	+	11.3430i	0.104567	+	0.458139i	−0.895351	+	0.445361i	$0.853075\pi$
$614$	14.2166	+	8.47525i	0.573735	+	0.342033i
$615$	−8.86071	+	41.5511i	−0.357298	+	1.67550i
$616$	−33.6121	+	6.20116i	−1.35427	+	0.249852i
$617$	5.19555	+	2.50205i	0.209165	+	0.100729i	0.535533	−	0.844514i	$-0.320111\pi$
$617$	5.19555	+	2.50205i	0.209165	+	0.100729i	−0.326368	+	0.945243i	$0.605825\pi$
$618$	−13.6511	+	5.36257i	−0.549128	+	0.215714i
$619$	1.68943	+	7.40187i	0.0679039	+	0.297506i	0.997465	−	0.0711623i	$-0.0226708\pi$
$619$	1.68943	+	7.40187i	0.0679039	+	0.297506i	−0.929561	+	0.368669i	$0.879814\pi$
$620$	−3.20089	−	3.64935i	−0.128551	−	0.146561i
$621$	−17.3090	−	32.3192i	−0.694588	−	1.29693i
$622$	−15.1005	+	9.98889i	−0.605476	+	0.400518i
$623$	−24.0873	+	19.2090i	−0.965037	+	0.769591i
$624$	16.3357	−	5.63833i	0.653951	−	0.225714i
$625$	−31.7946	+	15.3115i	−1.27179	+	0.612459i
$626$	0.515858	+	3.78054i	0.0206178	+	0.151101i
$627$	13.6741	+	6.34586i	0.546090	+	0.253429i
$628$	40.6065	−	21.9534i	1.62038	−	0.876035i
$629$	5.22977	−	10.8597i	0.208525	−	0.433006i
$630$	−39.1492	−	21.8465i	−1.55974	−	0.870387i
$631$	21.0876	+	4.81310i	0.839484	+	0.191607i	0.620583	−	0.784141i	$-0.286896\pi$
$631$	21.0876	+	4.81310i	0.839484	+	0.191607i	0.218900	+	0.975747i	$0.429753\pi$
$632$	6.54620	−	12.2505i	0.260394	−	0.487299i
$633$	−0.335901	−	23.4913i	−0.0133508	−	0.933696i
$634$	−20.2633	+	7.62744i	−0.804757	+	0.302924i
$635$	−65.5833	−	14.9690i	−2.60259	−	0.594025i
$636$	−21.3739	+	6.27422i	−0.847532	+	0.248789i
$637$	0.328632			0.0130209
$638$	33.0561	−	9.74142i	1.30870	−	0.385667i
$639$	4.68791	−	23.6351i	0.185451	−	0.934991i
$640$	12.2036	+	43.0719i	0.482389	+	1.70257i
$641$	−6.28508	+	27.5368i	−0.248246	+	1.08764i	0.685041	+	0.728505i	$0.259784\pi$
$641$	−6.28508	+	27.5368i	−0.248246	+	1.08764i	−0.933287	+	0.359132i	$0.883073\pi$
$642$	−1.21693	+	2.10930i	−0.0480284	+	0.0832476i
$643$	−4.47104	−	3.56553i	−0.176321	−	0.140611i	0.531353	−	0.847151i	$-0.321684\pi$
$643$	−4.47104	−	3.56553i	−0.176321	−	0.140611i	−0.707674	+	0.706540i	$0.750255\pi$
$644$	−22.0912	+	30.5308i	−0.870517	+	1.20308i
$645$	20.3830	−	10.1774i	0.802578	−	0.400737i
$646$	1.10117	−	3.40031i	0.0433249	−	0.133783i
$647$	−6.77786	−	3.26405i	−0.266465	−	0.128323i	0.295881	−	0.955225i	$-0.404387\pi$
$647$	−6.77786	−	3.26405i	−0.266465	−	0.128323i	−0.562346	+	0.826902i	$0.690101\pi$
$648$	24.7285	−	6.04182i	0.971425	−	0.237345i
$649$	−28.1436	−	58.4407i	−1.10473	−	2.29400i
$650$	5.08258	+	37.2485i	0.199355	+	1.46100i
$651$	2.57358	+	1.19435i	0.100866	+	0.0468101i
$652$	−0.616679	−	0.446211i	−0.0241510	−	0.0174750i
$653$	−11.3237	−	14.1995i	−0.443131	−	0.555669i	0.509234	−	0.860628i	$-0.329929\pi$
$653$	−11.3237	−	14.1995i	−0.443131	−	0.555669i	−0.952365	+	0.304959i	$0.901357\pi$
$654$	28.4713	+	8.77252i	1.11332	+	0.343033i
$655$	−9.49312			−0.370927
$656$	−13.5794	+	20.7471i	−0.530185	+	0.810039i
$657$	−0.0175132	−	0.612270i	−0.000683255	−	0.0238869i
$658$	2.38464	−	7.36356i	0.0929630	−	0.287061i
$659$	22.1910	−	46.0801i	0.864438	−	1.79502i	0.353375	−	0.935482i	$-0.385034\pi$
$659$	22.1910	−	46.0801i	0.864438	−	1.79502i	0.511063	−	0.859543i	$-0.329252\pi$
$660$	41.5622	+	46.0403i	1.61780	+	1.79212i
$661$	24.6734	+	30.9395i	0.959685	+	1.20341i	0.979055	+	0.203594i	$0.0652623\pi$
$661$	24.6734	+	30.9395i	0.959685	+	1.20341i	−0.0193708	+	0.999812i	$0.506166\pi$
$662$	20.5322	+	12.2403i	0.798008	+	0.475734i
$663$	−4.48849	−	3.47564i	−0.174318	−	0.134983i
$664$	−7.04080	+	1.29897i	−0.273236	+	0.0504098i
$665$	12.6723	−	15.8905i	0.491410	−	0.616209i
$666$	−2.34110	+	38.8480i	−0.0907159	+	1.50533i
$667$	18.9530	−	32.9315i	0.733862	−	1.27511i
$668$	38.4550	−	10.6935i	1.48787	−	0.413745i
$669$	−24.4725	+	0.349930i	−0.946161	+	0.0135291i
$670$	11.4321	+	1.01769i	0.441660	+	0.0393167i
$671$	6.16369	+	27.0049i	0.237947	+	1.04251i
$672$	−16.7032	−	20.1408i	−0.644338	−	0.776949i
$673$	−22.2763	−	27.9336i	−0.858689	−	1.07676i	−0.996272	−	0.0862712i	$-0.972505\pi$
$673$	−22.2763	−	27.9336i	−0.858689	−	1.07676i	0.137583	−	0.990490i	$-0.456067\pi$
$674$	−3.08527	+	34.6581i	−0.118840	+	1.33498i
$675$	2.37457	+	55.3253i	0.0913973	+	2.12947i
$676$	−13.3433	−	2.39462i	−0.513203	−	0.0921007i
$677$	0.635360	+	2.78369i	0.0244189	+	0.106986i	0.985669	−	0.168693i	$-0.0539546\pi$
$677$	0.635360	+	2.78369i	0.0244189	+	0.106986i	−0.961250	+	0.275679i	$0.911097\pi$
$678$	8.43047	+	2.59758i	0.323770	+	0.0997595i
$679$	17.0864			0.655716
$680$	9.64318	−	11.1028i	0.369799	−	0.425772i
$681$	−0.587660	−	0.125318i	−0.0225192	−	0.00480218i
$682$	−2.83980	−	2.70984i	−0.108742	−	0.103765i
$683$	0.651473	−	0.313733i	0.0249279	−	0.0120046i	−0.421378	−	0.906885i	$-0.638454\pi$
$683$	0.651473	−	0.313733i	0.0249279	−	0.0120046i	0.446306	+	0.894880i	$0.352739\pi$
$684$	0.869588	+	11.5076i	0.0332495	+	0.440005i
$685$	−14.2951	−	29.6840i	−0.546186	−	1.13417i
$686$	9.13807	+	24.2764i	0.348893	+	0.926879i
$687$	1.23297	+	5.06694i	0.0470409	+	0.193316i
$688$	13.2385	−	1.24348i	0.504712	−	0.0474071i
$689$	−15.6377	−	3.56920i	−0.595748	−	0.135976i
$690$	68.1971	+	5.08930i	2.59622	+	0.193746i
$691$	−11.8726	−	9.46808i	−0.451655	−	0.360183i	0.371087	−	0.928598i	$-0.378985\pi$
$691$	−11.8726	−	9.46808i	−0.451655	−	0.360183i	−0.822742	+	0.568416i	$0.807557\pi$
$692$	−18.8274	+	10.1788i	−0.715710	+	0.386939i
$693$	−33.0989	−	14.7891i	−1.25732	−	0.561793i
$694$	−15.8903	−	9.47303i	−0.603188	−	0.359591i
$695$	−2.36997			−0.0898980
$696$	18.8608	+	18.4464i	0.714917	+	0.699209i
$697$	8.14537			0.308528
$698$	7.85890	+	4.68510i	0.297464	+	0.177334i
$699$	−16.5780	+	8.27757i	−0.627036	+	0.313087i
$700$	50.0715	−	27.0705i	1.89252	−	1.02317i
$701$	12.4133	+	9.89928i	0.468844	+	0.373891i	0.829225	−	0.558914i	$-0.188782\pi$
$701$	12.4133	+	9.89928i	0.468844	+	0.373891i	−0.360381	+	0.932805i	$0.617353\pi$
$702$	17.6642	+	4.89425i	0.666691	+	0.184722i
$703$	−17.2014	−	3.92610i	−0.648762	−	0.148076i
$704$	12.9176	+	33.8170i	0.486850	+	1.27453i
$705$	−13.6476	+	3.32096i	−0.513999	+	0.125075i
$706$	−1.22272	−	3.24830i	−0.0460176	−	0.122251i
$707$	19.0445	+	39.5463i	0.716242	+	1.48729i
$708$	28.5309	−	40.6417i	1.07226	−	1.52741i
$709$	−7.47460	+	3.59958i	−0.280715	+	0.135185i	−0.568944	−	0.822376i	$-0.692648\pi$
$709$	−7.47460	+	3.59958i	−0.280715	+	0.135185i	0.288229	+	0.957561i	$0.406934\pi$
$710$	32.5167	+	31.0286i	1.22033	+	1.16448i
$711$	13.0852	−	6.76905i	0.490735	−	0.253859i
$712$	24.6356	+	21.3969i	0.923257	+	0.801883i
$713$	−4.32785			−0.162079
$714$	−2.53096	+	8.21426i	−0.0947188	+	0.307411i
$715$	9.93815	+	43.5419i	0.371666	+	1.62837i
$716$	−15.8870	−	2.85112i	−0.593724	−	0.106551i
$717$	7.53076	−	1.83251i	0.281241	−	0.0684363i
$718$	−3.95323	+	44.4082i	−0.147533	+	1.65730i
$719$	−31.0106	−	38.8861i	−1.15650	−	1.45021i	−0.870630	−	0.491938i	$-0.836289\pi$
$719$	−31.0106	−	38.8861i	−1.15650	−	1.45021i	−0.285871	−	0.958268i	$-0.592283\pi$
$720$	−15.2314	+	44.9737i	−0.567641	+	1.67607i
$721$	3.55814	+	15.5892i	0.132512	+	0.580574i
$722$	21.5530	+	1.91865i	0.802118	+	0.0714048i
$723$	−0.124959	−	8.73905i	−0.00464727	−	0.325009i
$724$	24.5547	−	6.82816i	0.912570	−	0.253767i
$725$	−47.3740	+	32.3942i	−1.75943	+	1.20309i
$726$	17.0198	+	15.7822i	0.631663	+	0.585731i
$727$	−8.32892	+	10.4441i	−0.308903	+	0.387352i	−0.911914	−	0.410381i	$-0.865396\pi$
$727$	−8.32892	+	10.4441i	−0.308903	+	0.387352i	0.603012	+	0.797732i	$0.293967\pi$
$728$	−3.41829	−	18.5282i	−0.126690	−	0.686699i
$729$	25.2405	+	9.58745i	0.934832	+	0.355091i
$730$	0.981382	+	0.585052i	0.0363226	+	0.0216538i
$731$	−2.72335	−	3.41498i	−0.100727	−	0.126307i
$732$	−15.7402	+	14.2092i	−0.581774	+	0.525187i
$733$	0.563285	−	1.16967i	0.0208054	−	0.0432029i	−0.890307	−	0.455360i	$-0.849510\pi$
$733$	0.563285	−	1.16967i	0.0208054	−	0.0432029i	0.911113	+	0.412158i	$0.135225\pi$
$734$	−4.99654	+	15.4289i	−0.184426	+	0.569490i
$735$	−0.552837	+	0.713941i	−0.0203917	+	0.0263341i
$736$	36.0443	+	17.1424i	1.32861	+	0.631876i
$737$	9.28087			0.341865
$738$	−24.3391	+	9.96515i	−0.895936	+	0.366822i
$739$	−23.1668	−	29.0502i	−0.852203	−	1.06863i	−0.996863	−	0.0791472i	$-0.974780\pi$
$739$	−23.1668	−	29.0502i	−0.852203	−	1.06863i	0.144660	−	0.989481i	$-0.453791\pi$
$740$	−58.8135	−	42.5558i	−2.16203	−	1.56438i
$741$	−3.49806	+	7.53762i	−0.128504	+	0.276901i
$742$	3.28341	+	24.0630i	0.120538	+	0.883380i
$743$	14.2954	+	29.6847i	0.524447	+	1.08903i	0.980033	+	0.198834i	$0.0637156\pi$
$743$	14.2954	+	29.6847i	0.524447	+	1.08903i	−0.455586	+	0.890192i	$0.650570\pi$
$744$	0.749437	−	2.91000i	0.0274757	−	0.106686i
$745$	−37.7770	−	18.1925i	−1.38404	−	0.666520i
$746$	1.54530	−	4.77175i	0.0565775	−	0.174706i
$747$	−6.93330	−	3.09791i	−0.253676	−	0.113347i
$748$	6.97096	−	9.63409i	0.254883	−	0.352257i
$749$	2.07571	+	1.65532i	0.0758447	+	0.0604841i
$750$	−47.4941	−	27.4010i	−1.73424	−	1.00054i
$751$	−4.99345	+	21.8778i	−0.182214	+	0.798331i	0.798360	+	0.602180i	$0.205701\pi$
$751$	−4.99345	+	21.8778i	−0.182214	+	0.798331i	−0.980574	+	0.196150i	$0.937156\pi$
$752$	−8.12772	−	1.06876i	−0.296387	−	0.0389736i
$753$	−0.452642	−	0.551239i	−0.0164952	−	0.0200883i
$754$	5.36981	+	18.2216i	0.195557	+	0.663593i
$755$	75.4806			2.74702
$756$	−2.48668	−	27.6414i	−0.0904399	−	1.00531i
$757$	15.8402	+	3.61541i	0.575720	+	0.131404i	0.500460	−	0.865760i	$-0.333164\pi$
$757$	15.8402	+	3.61541i	0.575720	+	0.131404i	0.0752600	+	0.997164i	$0.476021\pi$
$758$	−44.0328	+	16.5747i	−1.59934	+	0.602021i
$759$	55.2939	−	0.790643i	2.00704	−	0.0286985i
$760$	−18.9858	−	10.1453i	−0.688687	−	0.368009i
$761$	39.5117	+	9.01828i	1.43230	+	0.326912i	0.867137	−	0.498069i	$-0.165957\pi$
$761$	39.5117	+	9.01828i	1.43230	+	0.326912i	0.565160	+	0.824982i	$0.308815\pi$
$762$	−15.2259	−	38.7594i	−0.551576	−	1.40411i
$763$	14.0928	−	29.2640i	0.510194	−	1.05943i
$764$	−15.2179	+	8.22735i	−0.550564	+	0.297655i
$765$	15.1014	−	3.90424i	0.545992	−	0.141158i
$766$	−3.81856	−	27.9849i	−0.137970	−	1.01113i
$767$	32.2146	−	15.5137i	1.16320	−	0.560168i
$768$	−17.7680	+	21.2673i	−0.641147	+	0.767418i
$769$	0.875225	−	0.697969i	0.0315614	−	0.0251694i	−0.607582	−	0.794257i	$-0.707860\pi$
$769$	0.875225	−	0.697969i	0.0315614	−	0.0251694i	0.639143	+	0.769088i	$0.279289\pi$
$770$	56.3995	−	37.3079i	2.03250	−	1.34448i
$771$	−25.4400	−	30.9815i	−0.916200	−	1.11577i
$772$	20.9169	+	23.8474i	0.752814	+	0.858287i
$773$	−10.7322	−	47.0209i	−0.386011	−	1.69122i	−0.678212	−	0.734866i	$-0.737245\pi$
$773$	−10.7322	−	47.0209i	−0.386011	−	1.69122i	0.292202	−	0.956357i	$-0.405612\pi$
$774$	12.3156	+	6.87248i	0.442674	+	0.247026i
$775$	5.88958	+	2.83627i	0.211560	+	0.101882i
$776$	−3.28327	−	17.7963i	−0.117863	−	0.638850i
$777$	41.4975	+	8.84928i	1.48871	+	0.317466i
$778$	−6.06537	−	3.61588i	−0.217454	−	0.129636i
$779$	−2.65316	−	11.6243i	−0.0950593	−	0.416482i
$780$	−25.3790	+	22.9105i	−0.908715	+	0.820327i
$781$	28.4151	+	22.6603i	1.01677	+	0.810850i
$782$	−1.77261	−	12.9909i	−0.0633885	−	0.464552i
$783$	5.39077	+	27.4580i	0.192650	+	0.981267i
$784$	−0.451348	+	0.272059i	−0.0161196	+	0.00971638i
$785$	−56.9418	+	71.4028i	−2.03234	+	2.54848i
$786$	−3.31193	−	4.85447i	−0.118133	−	0.173153i
$787$	−42.1887	+	9.62930i	−1.50387	+	0.343247i	−0.893569	−	0.448926i	$-0.851807\pi$
$787$	−42.1887	+	9.62930i	−1.50387	+	0.343247i	−0.610296	+	0.792173i	$0.708950\pi$
$788$	25.0893	+	10.6660i	0.893770	+	0.379959i
$789$	4.28936	−	20.1143i	0.152705	−	0.716090i
$790$	−2.43668	+	27.3722i	−0.0866932	+	0.973859i
$791$	4.17294	−	8.66520i	0.148373	−	0.308099i
$792$	−9.04339	+	37.3159i	−0.321343	+	1.32596i
$793$	−14.8860	+	3.39764i	−0.528618	+	0.120654i
$794$	10.2827	+	15.5447i	0.364920	+	0.551661i
$795$	34.0602	−	27.9681i	1.20799	−	0.991926i
$796$	1.88969	+	2.15445i	0.0669784	+	0.0763624i
$797$	20.3984	+	25.5788i	0.722549	+	0.906048i	0.998479	−	0.0551298i	$-0.0175573\pi$
$797$	20.3984	+	25.5788i	0.722549	+	0.906048i	−0.275930	+	0.961178i	$0.588986\pi$
$798$	12.5470	+	0.936333i	0.444157	+	0.0331458i
$799$	1.16841	+	2.42622i	0.0413352	+	0.0858335i
$800$	−37.8167	−	46.9500i	−1.33702	−	1.65993i
$801$	8.66298	+	33.5080i	0.306091	+	1.18395i
$802$	−9.50641	−	25.2550i	−0.335683	−	0.891784i
$803$	0.832396	+	0.400861i	0.0293746	+	0.0141461i
$804$	3.46798	+	6.20103i	0.122306	+	0.218694i
$805$	16.5907	−	72.6887i	0.584746	−	2.56194i
$806$	1.49376	−	1.56540i	0.0526153	−	0.0551387i
$807$	0.478712	+	33.4789i	0.0168515	+	1.17851i
$808$	37.5298	−	27.4348i	1.32029	−	0.965154i
$809$	10.2944	−	45.1026i	0.361931	−	1.58572i	−0.386357	−	0.922349i	$-0.626267\pi$
$809$	10.2944	−	45.1026i	0.361931	−	1.58572i	0.748288	−	0.663374i	$-0.230876\pi$
$810$	−40.3479	+	30.1415i	−1.41768	+	1.05906i
$811$		−	13.5788i		−	0.476817i	−0.971165	−	0.238409i	$-0.923374\pi$
$811$		−	13.5788i		−	0.476817i	0.971165	−	0.238409i	$-0.0766257\pi$
$812$	22.9565	−	17.3286i	0.805616	−	0.608115i
$813$	25.1485	−	20.6503i	0.881995	−	0.724238i
$814$	−50.4223	−	30.0593i	−1.76730	−	1.05358i
$815$	1.46821	+	0.335109i	0.0514290	+	0.0117383i
$816$	9.04188	+	1.05769i	0.316529	+	0.0370265i
$817$	−3.98644	+	4.99884i	−0.139468	+	0.174887i
$818$	25.5844	+	24.4136i	0.894538	+	0.853601i
$819$	8.15228	−	18.2453i	0.284864	−	0.637541i
$820$	8.66561	−	48.2864i	0.302616	−	1.68623i
$821$	3.90766	−	8.11434i	0.136378	−	0.283192i	−0.821584	−	0.570088i	$-0.806909\pi$
$821$	3.90766	−	8.11434i	0.136378	−	0.283192i	0.957962	+	0.286896i	$0.0926233\pi$
$822$	10.1922	−	17.6661i	0.355493	−	0.616175i
$823$	41.3154	−	19.8964i	1.44016	−	0.693546i	0.459307	−	0.888277i	$-0.348098\pi$
$823$	41.3154	−	19.8964i	1.44016	−	0.693546i	0.980857	+	0.194731i	$0.0623834\pi$
$824$	15.5532	−	6.70155i	0.541821	−	0.233460i
$825$	−75.7651	−	35.1611i	−2.63780	−	1.22415i
$826$	−39.1667	−	37.3743i	−1.36278	−	1.30042i
$827$	−11.1564	+	8.89692i	−0.387946	+	0.309376i	−0.797969	−	0.602699i	$-0.794092\pi$
$827$	−11.1564	+	8.89692i	−0.387946	+	0.309376i	0.410023	+	0.912075i	$0.365521\pi$
$828$	21.1899	+	36.6493i	0.736401	+	1.27365i
$829$			37.0800i			1.28784i	0.765092	+	0.643921i	$0.222694\pi$
$829$			37.0800i			1.28784i	−0.765092	+	0.643921i	$0.777306\pi$
$830$	11.8141	−	7.81497i	0.410075	−	0.271261i
$831$	−20.7766	−	16.0883i	−0.720734	−	0.558096i
$832$	−18.6411	+	7.12063i	−0.646264	+	0.246863i
$833$	0.155974	+	0.0751130i	0.00540417	+	0.00260251i
$834$	−0.826828	−	1.21192i	−0.0286307	−	0.0419654i
$835$	−61.7400	+	49.2360i	−2.13660	+	1.70388i
$836$	−16.0194	−	6.81017i	−0.554043	−	0.235535i
$837$	2.40438	−	2.09224i	0.0831075	−	0.0723183i
$838$	−19.7452	−	1.75772i	−0.682087	−	0.0607196i
$839$	33.7264	+	26.8959i	1.16436	+	0.928549i	0.998341	−	0.0575736i	$-0.0183364\pi$
$839$	33.7264	+	26.8959i	1.16436	+	0.928549i	0.166022	+	0.986122i	$0.446908\pi$
$840$	46.0022	+	23.7426i	1.58723	+	0.819199i
$841$	−21.2044	+	19.7831i	−0.731187	+	0.682177i
$842$	−18.4709	+	2.52037i	−0.636549	+	0.0868576i
$843$	29.7159	−	0.424905i	1.02347	−	0.0146345i
$844$	1.26987	+	27.0985i	0.0437107	+	0.932768i
$845$	26.1484	−	5.96820i	0.899532	−	0.205312i
$846$	−6.45957	−	5.82033i	−0.222085	−	0.200107i
$847$	19.7847	−	15.7778i	0.679810	−	0.542130i
$848$	24.4318	−	8.04370i	0.838992	−	0.276222i
$849$	−0.193788	−	0.796378i	−0.00665078	−	0.0273316i
$850$	−6.10134	+	18.8404i	−0.209274	+	0.646219i
$851$	−63.1004	+	14.4023i	−2.16305	+	0.493703i
$852$	−4.52265	+	27.4531i	−0.154944	+	0.940528i
$853$			25.8019i			0.883441i	0.897153	+	0.441721i	$0.145632\pi$
$853$			25.8019i			0.883441i	−0.897153	+	0.441721i	$0.854368\pi$
$854$	12.7548	+	19.2818i	0.436459	+	0.659809i
$855$	−10.4907	−	20.2795i	−0.358773	−	0.693544i
$856$	1.32523	−	2.48003i	0.0452955	−	0.0847656i
$857$	4.92965	+	10.2365i	0.168393	+	0.349673i	0.968039	−	0.250800i	$-0.0806935\pi$
$857$	4.92965	+	10.2365i	0.168393	+	0.349673i	−0.799646	+	0.600472i	$0.794979\pi$
$858$	−18.7987	+	20.2728i	−0.641776	+	0.692102i
$859$	−18.3383	+	8.83127i	−0.625695	+	0.301319i	−0.719734	−	0.694250i	$-0.755736\pi$
$859$	−18.3383	+	8.83127i	−0.625695	+	0.301319i	0.0940391	+	0.995569i	$0.470022\pi$
$860$	−23.1415	+	12.5112i	−0.789120	+	0.426627i
$861$	6.77948	+	27.8605i	0.231044	+	0.949483i
$862$	−0.406723	+	1.25593i	−0.0138531	+	0.0427770i
$863$	8.96923	−	39.2968i	0.305316	−	1.33768i	−0.556665	−	0.830737i	$-0.687919\pi$
$863$	8.96923	−	39.2968i	0.305316	−	1.33768i	0.861981	−	0.506940i	$-0.169224\pi$
$864$	−28.3120	+	7.90148i	−0.963192	+	0.268814i
$865$	26.4013	−	33.1062i	0.897672	−	1.12565i
$866$	−20.0531	−	53.2735i	−0.681432	−	1.81031i
$867$	11.8177	+	23.6680i	0.401351	+	0.803809i
$868$	−3.01499	−	1.28173i	−0.102336	−	0.0435048i
$869$			22.2215i			0.753812i
$870$	−48.6192	−	18.9874i	−1.64834	−	0.643733i
$871$			5.11593i			0.173347i
$872$	−33.1879	−	9.05505i	−1.12388	−	0.306643i
$873$	7.83027	−	17.5246i	0.265014	−	0.593117i
$874$	−17.9619	+	6.76116i	−0.607569	+	0.228700i
$875$	−37.2720	+	46.7376i	−1.26002	+	1.58002i
$876$	0.0432055	+	0.705957i	0.00145978	+	0.0238521i
$877$	6.29920	−	27.5986i	0.212709	−	0.931938i	−0.750008	−	0.661428i	$-0.769951\pi$
$877$	6.29920	−	27.5986i	0.212709	−	0.931938i	0.962717	−	0.270510i	$-0.0871923\pi$
$878$	−7.03637	−	2.27869i	−0.237466	−	0.0769019i
$879$	23.2672	−	5.66175i	0.784782	−	0.190966i
$880$	−49.6955	−	51.5738i	−1.67523	−	1.73855i
$881$	32.1085	−	15.4626i	1.08176	−	0.520949i	0.193882	−	0.981025i	$-0.437892\pi$
$881$	32.1085	−	15.4626i	1.08176	−	0.520949i	0.887880	+	0.460076i	$0.152178\pi$
$882$	−0.557958	−	0.0336243i	−0.0187874	−	0.00113219i
$883$	21.2793	+	44.1869i	0.716105	+	1.48701i	0.866921	+	0.498445i	$0.166096\pi$
$883$	21.2793	+	44.1869i	0.716105	+	1.48701i	−0.150816	+	0.988562i	$0.548190\pi$
$884$	5.31065	+	3.84263i	0.178616	+	0.129242i
$885$	−20.4895	+	96.0828i	−0.688747	+	3.22979i
$886$	39.9515	−	26.4276i	1.34220	−	0.887853i
$887$			25.7320i			0.863996i	0.901875	+	0.431998i	$0.142191\pi$
$887$			25.7320i			0.863996i	−0.901875	+	0.431998i	$0.857809\pi$
$888$	1.24291	−	44.9220i	0.0417095	−	1.50748i
$889$	−44.2624	+	10.1026i	−1.48451	+	0.338830i
$890$	−61.4174	−	19.8896i	−2.05872	−	0.666702i
$891$	−30.3368	+	27.1702i	−1.01632	+	0.910238i
$892$	28.2303	−	1.32291i	0.945221	−	0.0442943i
$893$	3.08187	−	2.45771i	0.103131	−	0.0822442i
$894$	−3.87653	−	25.6648i	−0.129651	−	0.858361i
$895$	31.1332	−	7.10595i	1.04067	−	0.237526i
$896$	20.0333	+	22.6170i	0.669266	+	0.755582i
$897$	0.435829	+	30.4799i	0.0145519	+	1.01769i
$898$	−0.684226	−	5.01445i	−0.0228329	−	0.167334i
$899$	3.15776	+	0.969307i	0.105317	+	0.0323282i
$900$	−4.81820	−	63.7612i	−0.160607	−	2.12537i
$901$	−6.60610	−	5.26819i	−0.220081	−	0.175509i
$902$	3.51749	−	39.5133i	0.117119	−	1.31565i
$903$	9.41394	−	12.1573i	0.313276	−	0.404570i
$904$	−9.82707	−	2.68124i	−0.326844	−	0.0891766i
$905$	−39.4229	+	31.4387i	−1.31046	+	1.04506i
$906$	26.3335	+	38.5982i	0.874871	+	1.28234i
$907$	−46.3189	−	22.3060i	−1.53799	−	0.740658i	−0.542918	−	0.839786i	$-0.682681\pi$
$907$	−46.3189	−	22.3060i	−1.53799	−	0.740658i	−0.995075	+	0.0991275i	$0.968395\pi$
$908$	0.682918	+	0.122558i	0.0226634	+	0.00406724i
$909$	49.2881	−	1.40982i	1.63478	−	0.0467608i
$910$	20.5654	+	31.0894i	0.681736	+	1.03060i
$911$			5.68457i			0.188338i	0.995556	+	0.0941691i	$0.0300194\pi$
$911$			5.68457i			0.188338i	−0.995556	+	0.0941691i	$0.969981\pi$
$912$	−1.43575	−	13.2482i	−0.0475424	−	0.438691i
$913$	8.95528	−	7.14160i	0.296377	−	0.236352i
$914$	27.5261	−	28.8463i	0.910484	−	0.954149i
$915$	17.6606	−	38.0550i	0.583841	−	1.25806i
$916$	−1.61325	−	5.80140i	−0.0533033	−	0.191684i
$917$	−5.77245	+	2.77987i	−0.190623	+	0.0917993i
$918$	7.26504	+	6.36025i	0.239782	+	0.209920i
$919$	−10.5721	+	21.9533i	−0.348743	+	0.724172i	−0.999380	−	0.0352173i	$-0.988788\pi$
$919$	−10.5721	+	21.9533i	−0.348743	+	0.724172i	0.650637	+	0.759389i	$0.274502\pi$
$920$	−78.8967	−	3.31238i	−2.60115	−	0.109206i
$921$	−9.05547	−	18.1359i	−0.298388	−	0.597598i
$922$	29.3447	−	30.7520i	0.966415	−	1.01276i
$923$	−12.4911	+	15.6634i	−0.411151	+	0.515567i
$924$	38.7545	+	15.8250i	1.27493	+	0.520603i
$925$	95.3091	+	21.7537i	3.13374	+	0.715256i
$926$	−6.97310	+	11.6969i	−0.229150	+	0.384383i
$927$	17.6196	+	3.49476i	0.578704	+	0.114783i
$928$	−22.4598	−	20.5805i	−0.737280	−	0.675588i
$929$		−	13.2024i		−	0.433157i	−0.976265	−	0.216579i	$-0.930510\pi$
$929$		−	13.2024i		−	0.433157i	0.976265	−	0.216579i	$-0.0694898\pi$
$930$	0.887915	+	5.87850i	0.0291159	+	0.192764i
$931$	0.0563889	−	0.247056i	0.00184807	−	0.00809693i
$932$	18.8216	−	10.1756i	0.616522	−	0.333314i
$933$	22.1722	−	0.317038i	0.725884	−	0.0103794i
$934$	−1.27232	−	1.21410i	−0.0416317	−	0.0397265i
$935$	−5.23525	+	22.9371i	−0.171211	+	0.750125i
$936$	−20.5698	−	4.98503i	−0.672346	−	0.162941i
$937$	19.5500	+	9.41480i	0.638672	+	0.307568i	0.725052	−	0.688694i	$-0.241816\pi$
$937$	19.5500	+	9.41480i	0.638672	+	0.307568i	−0.0863802	+	0.996262i	$0.527530\pi$
$938$	7.24948	−	2.72883i	0.236704	−	0.0890994i
$939$	1.96718	−	4.23888i	0.0641965	−	0.138331i
$940$	15.6259	−	4.34522i	0.509659	−	0.141726i
$941$	−17.7545	−	36.8677i	−0.578781	−	1.20185i	−0.960683	−	0.277648i	$-0.910445\pi$
$941$	−17.7545	−	36.8677i	−0.578781	−	1.20185i	0.381902	−	0.924203i	$-0.375269\pi$
$942$	−56.3787	−	4.20734i	−1.83692	−	0.137082i
$943$	−27.2704	−	34.1959i	−0.888045	−	1.11357i
$944$	−31.4009	+	47.9757i	−1.02201	+	1.56148i
$945$	25.9232	+	48.4034i	0.843280	+	1.57456i
$946$	−17.7422	+	11.7363i	−0.576847	+	0.381580i
$947$	12.1867	−	2.78153i	0.396014	−	0.0903876i	−0.0198763	−	0.999802i	$-0.506327\pi$
$947$	12.1867	−	2.78153i	0.396014	−	0.0903876i	0.415890	+	0.909415i	$0.363470\pi$
$948$	−14.8473	+	8.30350i	−0.482219	+	0.269685i
$949$	−0.220968	+	0.458846i	−0.00717294	+	0.0148948i
$950$	28.8744	+	2.57041i	0.936810	+	0.0833951i
$951$	25.9342	+	5.53042i	0.840973	+	0.179336i
$952$	2.61247	−	9.57504i	0.0846707	−	0.310329i
$953$	−41.1861	+	9.40047i	−1.33415	+	0.304511i	−0.829352	−	0.558727i	$-0.811290\pi$
$953$	−41.1861	+	9.40047i	−1.33415	+	0.304511i	−0.504798	+	0.863238i	$0.668433\pi$
$954$	26.1848	+	7.65984i	0.847764	+	0.247997i
$955$	21.3398	−	26.7592i	0.690539	−	0.865908i
$956$	−8.62235	+	2.39769i	−0.278867	+	0.0775470i
$957$	−40.5214	−	11.8073i	−1.30987	−	0.381674i
$958$	−28.5927	+	3.90149i	−0.923788	+	0.126052i
$959$	−17.3847	−	13.8638i	−0.561381	−	0.447686i
$960$	15.8894	−	52.4757i	0.512829	−	1.69365i
$961$	6.81443	+	29.8560i	0.219820	+	0.963095i
$962$	16.5697	−	27.7945i	0.534230	−	0.896131i
$963$	2.64901	−	1.37035i	0.0853633	−	0.0441588i
$964$	0.472407	+	10.0809i	0.0152152	+	0.324686i
$965$	−56.5433	−	27.2298i	−1.82019	−	0.876559i
$966$	42.9587	−	16.8755i	1.38217	−	0.542960i
$967$	0.172176	+	0.754352i	0.00553681	+	0.0242583i	0.977621	−	0.210375i	$-0.0674683\pi$
$967$	0.172176	+	0.754352i	0.00553681	+	0.0242583i	−0.972084	+	0.234633i	$0.924611\pi$
$968$	−20.2350	−	17.5749i	−0.650379	−	0.564878i
$969$	−3.38305	+	2.77794i	−0.108679	+	0.0892404i
$970$	19.7531	+	29.8614i	0.634233	+	0.958790i
$971$	−14.1068	+	11.2498i	−0.452709	+	0.361023i	−0.823142	−	0.567836i	$-0.807781\pi$
$971$	−14.1068	+	11.2498i	−0.452709	+	0.361023i	0.370433	+	0.928859i	$0.379209\pi$
$972$	−29.4898	−	10.1169i	−0.945886	−	0.324499i
$973$	−1.44110	+	0.693997i	−0.0461995	+	0.0222485i
$974$	48.2124	−	6.57862i	1.54482	−	0.210793i
$975$	19.3820	−	41.7643i	0.620720	−	1.33753i
$976$	17.6320	−	16.9898i	0.564385	−	0.543831i
$977$	−10.7197	+	22.2598i	−0.342955	+	0.712153i	−0.999097	−	0.0424840i	$-0.986473\pi$
$977$	−10.7197	+	22.2598i	−0.342955	+	0.712153i	0.656142	+	0.754637i	$0.272187\pi$
$978$	0.340861	+	0.867703i	0.0108995	+	0.0277461i
$979$	−50.8944	−	11.6163i	−1.62659	−	0.371259i
$980$	0.611211	−	0.844714i	0.0195244	−	0.0269834i
$981$	−23.5561	−	27.8652i	−0.752089	−	0.889667i
$982$	9.22573	+	24.5093i	0.294405	+	0.782123i
$983$	32.1040	+	7.32754i	1.02396	+	0.233712i	0.701348	−	0.712819i	$-0.252582\pi$
$983$	32.1040	+	7.32754i	1.02396	+	0.233712i	0.322612	+	0.946531i	$0.395439\pi$
$984$	27.7153	−	12.4147i	0.883531	−	0.395767i
$985$	−53.9374			−1.71859
$986$	−1.61620	+	9.87561i	−0.0514701	+	0.314503i
$987$	−7.32619	+	6.01579i	−0.233195	+	0.191485i
$988$	3.75400	−	8.83046i	0.119431	−	0.280934i
$989$	−5.21910	+	22.8664i	−0.165958	+	0.727109i
$990$	−12.4182	−	74.9431i	−0.394675	−	2.38185i
$991$	35.1709	+	28.0479i	1.11724	+	0.890970i	0.994835	−	0.101510i	$-0.0323674\pi$
$991$	35.1709	+	28.0479i	1.11724	+	0.890970i	0.122406	+	0.992480i	$0.460939\pi$
$992$	−0.755633	+	3.38655i	−0.0239914	+	0.107523i
$993$	−13.0783	−	26.1927i	−0.415027	−	0.831199i
$994$	28.8584	+	9.34561i	0.915333	+	0.296425i
$995$	−5.10830	−	2.46003i	−0.161944	−	0.0779881i
$996$	8.11800	+	3.31489i	0.257229	+	0.105036i
$997$	−5.40385	−	11.2212i	−0.171142	−	0.355379i	0.797702	−	0.603051i	$-0.206049\pi$
$997$	−5.40385	−	11.2212i	−0.171142	−	0.355379i	−0.968844	+	0.247672i	$0.920334\pi$
$998$	50.3386	−	6.86874i	1.59344	−	0.217426i
$999$	28.0935	−	38.5063i	0.888838	−	1.21828i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	348.2.t.a.35.47	yes	336
3.2	odd	2	inner	348.2.t.a.35.10	✓	336
4.3	odd	2	inner	348.2.t.a.35.15	yes	336
12.11	even	2	inner	348.2.t.a.35.42	yes	336
29.5	even	14	inner	348.2.t.a.179.42	yes	336
87.5	odd	14	inner	348.2.t.a.179.15	yes	336
116.63	odd	14	inner	348.2.t.a.179.10	yes	336
348.179	even	14	inner	348.2.t.a.179.47	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
348.2.t.a.35.10	✓	336	3.2	odd	2	inner
348.2.t.a.35.15	yes	336	4.3	odd	2	inner
348.2.t.a.35.42	yes	336	12.11	even	2	inner
348.2.t.a.35.47	yes	336	1.1	even	1	trivial
348.2.t.a.179.10	yes	336	116.63	odd	14	inner
348.2.t.a.179.15	yes	336	87.5	odd	14	inner
348.2.t.a.179.42	yes	336	29.5	even	14	inner
348.2.t.a.179.47	yes	336	348.179	even	14	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 348 = 2^{2} \cdot 3 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	348.t (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.21474 + 0.724167i) q^{2} +(-0.773743 - 1.54962i) q^{3} +(0.951165 + 1.75934i) q^{4} +(-3.09364 - 2.46710i) q^{5} +(0.182290 - 2.44270i) q^{6} +(-2.60358 - 0.594250i) q^{7} +(-0.118644 + 2.82594i) q^{8} +(-1.80264 + 2.39802i) q^{9} +O(q^{10})\)	\(q+(1.21474 + 0.724167i) q^{2} +(-0.773743 - 1.54962i) q^{3} +(0.951165 + 1.75934i) q^{4} +(-3.09364 - 2.46710i) q^{5} +(0.182290 - 2.44270i) q^{6} +(-2.60358 - 0.594250i) q^{7} +(-0.118644 + 2.82594i) q^{8} +(-1.80264 + 2.39802i) q^{9} +(-1.97137 - 5.23718i) q^{10} +(-1.96333 - 4.07691i) q^{11} +(1.99035 - 2.83522i) q^{12} +(2.24733 - 1.08226i) q^{13} +(-2.73232 - 2.60728i) q^{14} +(-1.42938 + 6.70286i) q^{15} +(-2.19057 + 3.34685i) q^{16} +1.31398 q^{17} +(-3.92630 + 1.60754i) q^{18} +(-0.427998 - 1.87518i) q^{19} +(1.39790 - 7.78939i) q^{20} +(1.09364 + 4.49435i) q^{21} +(0.567428 - 6.37414i) q^{22} +(-4.39915 - 5.51636i) q^{23} +(4.47093 - 2.00270i) q^{24} +(2.37144 + 10.3900i) q^{25} +(3.51365 + 0.312786i) q^{26} +(5.11080 + 0.937961i) q^{27} +(-1.43094 - 5.14581i) q^{28} +(1.97428 + 5.01021i) q^{29} +(-6.59031 + 7.10710i) q^{30} +(0.382439 - 0.479563i) q^{31} +(-5.08464 + 2.47920i) q^{32} +(-4.79854 + 6.19690i) q^{33} +(1.59614 + 0.951542i) q^{34} +(6.58846 + 8.26167i) q^{35} +(-5.93354 - 0.890556i) q^{36} +(3.98009 - 8.26475i) q^{37} +(0.838040 - 2.58779i) q^{38} +(-3.41595 - 2.64512i) q^{39} +(7.33890 - 8.44973i) q^{40} +6.19900 q^{41} +(-1.92618 + 6.25143i) q^{42} +(-2.07260 - 2.59895i) q^{43} +(5.30522 - 7.33199i) q^{44} +(11.4929 - 2.97131i) q^{45} +(-1.34904 - 9.88664i) q^{46} +(0.889210 + 1.84646i) q^{47} +(6.88128 + 0.804949i) q^{48} +(0.118703 + 0.0571644i) q^{49} +(-4.64340 + 14.3384i) q^{50} +(-1.01668 - 2.03617i) q^{51} +(4.04164 + 2.92442i) q^{52} +(-5.02754 - 4.00933i) q^{53} +(5.52902 + 4.84044i) q^{54} +(-3.98427 + 17.4562i) q^{55} +(1.98821 - 7.28704i) q^{56} +(-2.57466 + 2.11414i) q^{57} +(-1.23000 + 7.51579i) q^{58} +14.3346 q^{59} +(-13.1522 + 3.86077i) q^{60} +(-5.96790 - 1.36213i) q^{61} +(0.811846 - 0.305593i) q^{62} +(6.11834 - 5.17220i) q^{63} +(-7.97185 - 0.670559i) q^{64} +(-9.62247 - 2.19627i) q^{65} +(-10.3165 + 4.05265i) q^{66} +(-0.889900 + 1.84790i) q^{67} +(1.24981 + 2.31174i) q^{68} +(-5.14445 + 11.0853i) q^{69} +(2.02041 + 14.8069i) q^{70} +(-7.23645 + 3.48489i) q^{71} +(-6.56277 - 5.37866i) q^{72} +(-0.159629 + 0.127300i) q^{73} +(10.8198 - 7.15723i) q^{74} +(14.2656 - 11.7140i) q^{75} +(2.89199 - 2.53660i) q^{76} +(2.68899 + 11.7813i) q^{77} +(-2.23396 - 5.68683i) q^{78} +(-4.42448 - 2.13072i) q^{79} +(15.0338 - 4.94960i) q^{80} +(-2.50096 - 8.64553i) q^{81} +(7.53015 + 4.48911i) q^{82} +(0.563269 + 2.46784i) q^{83} +(-6.86687 + 6.19896i) q^{84} +(-4.06499 - 3.24172i) q^{85} +(-0.635581 - 4.65795i) q^{86} +(6.23633 - 6.93600i) q^{87} +(11.7540 - 5.06456i) q^{88} +(7.19293 - 9.01965i) q^{89} +(16.1125 + 4.71340i) q^{90} +(-6.49423 + 1.48227i) q^{91} +(5.52085 - 12.9866i) q^{92} +(-1.03905 - 0.221576i) q^{93} +(-0.256993 + 2.88690i) q^{94} +(-3.30218 + 6.85705i) q^{95} +(7.77602 + 5.96100i) q^{96} +(-6.23771 + 1.42372i) q^{97} +(0.102796 + 0.155400i) q^{98} +(13.3157 + 2.64110i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9}+O(q^{10}) \) 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9	\( 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9} - 14 q^{10} - 20 q^{13} - 26 q^{16} - 56 q^{18} - 14 q^{21} - 40 q^{22} + 3 q^{24} + 40 q^{25} - 36 q^{28} - 6 q^{30} - 22 q^{33} - 8 q^{34} + 9 q^{36} - 28 q^{37} - 14 q^{40} - 74 q^{42} - 22 q^{45} + 14 q^{48} + 4 q^{49} - 4 q^{52} - 31 q^{54} - 12 q^{57} - 106 q^{58} - 42 q^{60} - 28 q^{61} - 94 q^{64} - 7 q^{66} - 14 q^{69} + 70 q^{72} - 28 q^{73} - 84 q^{76} - 9 q^{78} - 50 q^{81} - 46 q^{82} - 35 q^{84} - 168 q^{85} - 60 q^{88} + 119 q^{90} + 122 q^{93} + 36 q^{94} + 2 q^{96} - 28 q^{97}+O(q^{100}) \) 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9 - 14 * q^10 - 20 * q^13 - 26 * q^16 - 56 * q^18 - 14 * q^21 - 40 * q^22 + 3 * q^24 + 40 * q^25 - 36 * q^28 - 6 * q^30 - 22 * q^33 - 8 * q^34 + 9 * q^36 - 28 * q^37 - 14 * q^40 - 74 * q^42 - 22 * q^45 + 14 * q^48 + 4 * q^49 - 4 * q^52 - 31 * q^54 - 12 * q^57 - 106 * q^58 - 42 * q^60 - 28 * q^61 - 94 * q^64 - 7 * q^66 - 14 * q^69 + 70 * q^72 - 28 * q^73 - 84 * q^76 - 9 * q^78 - 50 * q^81 - 46 * q^82 - 35 * q^84 - 168 * q^85 - 60 * q^88 + 119 * q^90 + 122 * q^93 + 36 * q^94 + 2 * q^96 - 28 * q^97

Introduction

L-functions

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