LMFDB - Embedded newform 403.2.bp.a.10.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [403,2,Mod(10,403)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(403, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([25, 14]))

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

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

chi := DirichletCharacter("403.10");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 403 = 13 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	403.bp (of order $30$, degree $8$, 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:	$3.21797120146$
Analytic rank:	$0$
Dimension:	$280$
Relative dimension:	$35$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			10.9
Character	$\chi$	$=$	403.10
Dual form			403.2.bp.a.121.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.83649 - 0.193022i) q^{2} +(-2.43858 + 1.77173i) q^{3} +(1.37913 + 0.293142i) q^{4} +(-0.615405 + 0.355305i) q^{5} +(4.82040 - 2.78306i) q^{6} +(1.21282 + 1.09203i) q^{7} +(1.03628 + 0.336709i) q^{8} +(1.88059 - 5.78785i) q^{9} +O(q^{10})$	\(q+(-1.83649 - 0.193022i) q^{2} +(-2.43858 + 1.77173i) q^{3} +(1.37913 + 0.293142i) q^{4} +(-0.615405 + 0.355305i) q^{5} +(4.82040 - 2.78306i) q^{6} +(1.21282 + 1.09203i) q^{7} +(1.03628 + 0.336709i) q^{8} +(1.88059 - 5.78785i) q^{9} +(1.19876 - 0.533725i) q^{10} +(0.630798 - 2.96767i) q^{11} +(-3.88248 + 1.72859i) q^{12} +(-3.46698 - 0.989976i) q^{13} +(-2.01654 - 2.23959i) q^{14} +(0.871211 - 1.95677i) q^{15} +(-4.41421 - 1.96533i) q^{16} +(5.69746 - 1.21103i) q^{17} +(-4.57085 + 10.2663i) q^{18} +(1.98558 + 0.208693i) q^{19} +(-0.952876 + 0.309608i) q^{20} +(-4.89233 - 0.514205i) q^{21} +(-1.73128 + 5.32833i) q^{22} +(8.54065 - 1.81537i) q^{23} +(-3.12361 + 1.01492i) q^{24} +(-2.24752 + 3.89281i) q^{25} +(6.17597 + 2.48728i) q^{26} +(2.87419 + 8.84586i) q^{27} +(1.35251 + 1.86157i) q^{28} +(-1.05327 + 10.0212i) q^{29} +(-1.97767 + 3.42542i) q^{30} +(-3.56868 - 4.27370i) q^{31} +(5.84001 + 3.37173i) q^{32} +(3.71967 + 8.35451i) q^{33} +(-10.6971 + 1.12431i) q^{34} +(-1.13438 - 0.241119i) q^{35} +(4.29023 - 7.43089i) q^{36} +5.94802i q^{37} +(-3.60621 - 0.766524i) q^{38} +(10.2085 - 3.72842i) q^{39} +(-0.757368 + 0.160984i) q^{40} +(-0.889188 - 1.99715i) q^{41} +(8.88545 + 1.88866i) q^{42} +(-0.0708157 + 0.673766i) q^{43} +(1.73990 - 3.90788i) q^{44} +(0.899126 + 4.23005i) q^{45} +(-16.0352 + 1.68537i) q^{46} +(5.04363 + 6.94196i) q^{47} +(14.2464 - 3.02817i) q^{48} +(-0.453293 - 4.31279i) q^{49} +(4.87893 - 6.71528i) q^{50} +(-11.7481 + 13.0476i) q^{51} +(-4.49120 - 2.38162i) q^{52} +(-8.67192 + 1.84327i) q^{53} +(-3.57096 - 16.8001i) q^{54} +(0.666231 + 2.05045i) q^{55} +(0.889128 + 1.54002i) q^{56} +(-5.21175 + 3.00900i) q^{57} +(3.86863 - 18.2005i) q^{58} +(4.10760 - 9.22582i) q^{59} +(1.77512 - 2.44325i) q^{60} +(-0.451921 + 0.782751i) q^{61} +(5.72890 + 8.53743i) q^{62} +(8.60130 - 4.96596i) q^{63} +(-2.25601 - 1.63909i) q^{64} +(2.48534 - 0.622597i) q^{65} +(-5.21851 - 16.0609i) q^{66} +(9.72969 + 5.61744i) q^{67} +8.21252 q^{68} +(-17.6107 + 19.5587i) q^{69} +(2.03673 + 0.661773i) q^{70} +(1.01462 + 0.329670i) q^{71} +(3.89764 - 5.36464i) q^{72} +(-1.98081 - 1.78353i) q^{73} +(1.14810 - 10.9235i) q^{74} +(-1.41627 - 13.4749i) q^{75} +(2.67719 + 0.869872i) q^{76} +(4.00582 - 2.91040i) q^{77} +(-19.4674 + 4.87673i) q^{78} +(4.17208 + 4.63357i) q^{79} +(3.41482 - 0.358912i) q^{80} +(-7.91112 - 5.74776i) q^{81} +(1.24749 + 3.83937i) q^{82} +(4.66118 + 0.489910i) q^{83} +(-6.59641 - 2.14330i) q^{84} +(-3.07596 + 2.76961i) q^{85} +(0.260104 - 1.22369i) q^{86} +(-15.1864 - 26.3036i) q^{87} +(1.65293 - 2.86295i) q^{88} +(6.63662 + 5.97564i) q^{89} +(-0.834736 - 7.94198i) q^{90} +(-3.12374 - 4.98670i) q^{91} +12.3108 q^{92} +(16.2744 + 4.09903i) q^{93} +(-7.92260 - 13.7224i) q^{94} +(-1.29609 + 0.577056i) q^{95} +(-20.2151 + 2.12470i) q^{96} +(-0.0473727 + 0.222871i) q^{97} +8.00787i q^{98} +(-15.9902 - 9.23192i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 280 q - 9 q^{2} - 9 q^{3} - 35 q^{4} - 21 q^{6} - 3 q^{7} - 45 q^{8} - 63 q^{9}+O(q^{10}) $ 280 * q - 9 * q^2 - 9 * q^3 - 35 * q^4 - 21 * q^6 - 3 * q^7 - 45 * q^8 - 63 * q^9	\( 280 q - 9 q^{2} - 9 q^{3} - 35 q^{4} - 21 q^{6} - 3 q^{7} - 45 q^{8} - 63 q^{9} - 24 q^{10} - 9 q^{11} - 8 q^{12} - 6 q^{13} + 4 q^{14} + 23 q^{16} - 21 q^{17} - 45 q^{18} - 27 q^{19} - 75 q^{20} + 76 q^{21} - 22 q^{22} - 10 q^{23} - 15 q^{24} + 96 q^{25} - 15 q^{26} - 24 q^{27} + 5 q^{28} + 13 q^{29} + 36 q^{30} - 2 q^{31} - 141 q^{32} - 3 q^{33} + 9 q^{34} + 32 q^{35} + 97 q^{36} - 49 q^{38} + 15 q^{39} - 75 q^{40} - 33 q^{41} - 16 q^{42} + 21 q^{43} - 18 q^{44} - 27 q^{45} + 51 q^{46} - 68 q^{48} - 24 q^{49} + 90 q^{50} + 47 q^{51} + 73 q^{52} + 12 q^{53} - 33 q^{54} - 65 q^{55} + 25 q^{56} + 105 q^{57} - 3 q^{58} + 12 q^{59} - 90 q^{60} - 57 q^{61} + 12 q^{62} + 201 q^{63} + 13 q^{64} + 11 q^{65} + 22 q^{66} - 45 q^{67} + 142 q^{68} - 139 q^{69} - 15 q^{71} - 15 q^{72} - 9 q^{73} + 4 q^{74} - 75 q^{75} - 80 q^{76} - 24 q^{77} - 104 q^{78} + 54 q^{79} - 21 q^{80} - 107 q^{81} + 43 q^{82} - 54 q^{83} - 15 q^{84} - 117 q^{85} - 84 q^{86} - 21 q^{87} + 49 q^{88} - 9 q^{89} + 11 q^{90} - 10 q^{91} + 266 q^{92} - 22 q^{93} + 33 q^{94} + 75 q^{95} - 204 q^{96} - 10 q^{97} + 168 q^{99}+O(q^{100}) \) 280 * q - 9 * q^2 - 9 * q^3 - 35 * q^4 - 21 * q^6 - 3 * q^7 - 45 * q^8 - 63 * q^9 - 24 * q^10 - 9 * q^11 - 8 * q^12 - 6 * q^13 + 4 * q^14 + 23 * q^16 - 21 * q^17 - 45 * q^18 - 27 * q^19 - 75 * q^20 + 76 * q^21 - 22 * q^22 - 10 * q^23 - 15 * q^24 + 96 * q^25 - 15 * q^26 - 24 * q^27 + 5 * q^28 + 13 * q^29 + 36 * q^30 - 2 * q^31 - 141 * q^32 - 3 * q^33 + 9 * q^34 + 32 * q^35 + 97 * q^36 - 49 * q^38 + 15 * q^39 - 75 * q^40 - 33 * q^41 - 16 * q^42 + 21 * q^43 - 18 * q^44 - 27 * q^45 + 51 * q^46 - 68 * q^48 - 24 * q^49 + 90 * q^50 + 47 * q^51 + 73 * q^52 + 12 * q^53 - 33 * q^54 - 65 * q^55 + 25 * q^56 + 105 * q^57 - 3 * q^58 + 12 * q^59 - 90 * q^60 - 57 * q^61 + 12 * q^62 + 201 * q^63 + 13 * q^64 + 11 * q^65 + 22 * q^66 - 45 * q^67 + 142 * q^68 - 139 * q^69 - 15 * q^71 - 15 * q^72 - 9 * q^73 + 4 * q^74 - 75 * q^75 - 80 * q^76 - 24 * q^77 - 104 * q^78 + 54 * q^79 - 21 * q^80 - 107 * q^81 + 43 * q^82 - 54 * q^83 - 15 * q^84 - 117 * q^85 - 84 * q^86 - 21 * q^87 + 49 * q^88 - 9 * q^89 + 11 * q^90 - 10 * q^91 + 266 * q^92 - 22 * q^93 + 33 * q^94 + 75 * q^95 - 204 * q^96 - 10 * q^97 + 168 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/403\mathbb{Z}\right)^\times$.

$n$	$249$	$313$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{15}\right)$

Coefficient data

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

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

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

$2$	−1.83649	−	0.193022i	−1.29859	−	0.136487i	−0.570119	−	0.821562i	$-0.693103\pi$
$2$	−1.83649	−	0.193022i	−1.29859	−	0.136487i	−0.728473	+	0.685075i	$0.759769\pi$
$3$	−2.43858	+	1.77173i	−1.40791	+	1.02291i	−0.414293	+	0.910144i	$0.635971\pi$
$3$	−2.43858	+	1.77173i	−1.40791	+	1.02291i	−0.993622	+	0.112766i	$0.964029\pi$
$4$	1.37913	+	0.293142i	0.689563	+	0.146571i
$5$	−0.615405	+	0.355305i	−0.275218	+	0.158897i	−0.631256	−	0.775574i	$-0.717460\pi$
$5$	−0.615405	+	0.355305i	−0.275218	+	0.158897i	0.356039	+	0.934471i	$0.384127\pi$
$6$	4.82040	−	2.78306i	1.96792	−	1.13618i
$7$	1.21282	+	1.09203i	0.458403	+	0.412747i	0.865712	−	0.500543i	$-0.166866\pi$
$7$	1.21282	+	1.09203i	0.458403	+	0.412747i	−0.407309	+	0.913290i	$0.633533\pi$
$8$	1.03628	+	0.336709i	0.366381	+	0.119044i
$9$	1.88059	−	5.78785i	0.626862	−	1.92928i
$10$	1.19876	−	0.533725i	0.379083	−	0.168779i
$11$	0.630798	−	2.96767i	0.190193	−	0.894787i	−0.774738	−	0.632282i	$-0.782118\pi$
$11$	0.630798	−	2.96767i	0.190193	−	0.894787i	0.964931	−	0.262504i	$-0.0845484\pi$
$12$	−3.88248	+	1.72859i	−1.12077	+	0.499001i
$13$	−3.46698	−	0.989976i	−0.961567	−	0.274570i
$13$	−3.46698	−	0.989976i	−0.961567	−	0.274570i
$14$	−2.01654	−	2.23959i	−0.538943	−	0.598556i
$15$	0.871211	−	1.95677i	0.224946	−	0.505236i
$16$	−4.41421	−	1.96533i	−1.10355	−	0.491333i
$17$	5.69746	−	1.21103i	1.38184	−	0.293718i	0.543746	−	0.839250i	$-0.317005\pi$
$17$	5.69746	−	1.21103i	1.38184	−	0.293718i	0.838090	+	0.545531i	$0.183672\pi$
$18$	−4.57085	+	10.2663i	−1.07736	+	2.41979i
$19$	1.98558	+	0.208693i	0.455524	+	0.0478775i	0.329512	−	0.944151i	$-0.393116\pi$
$19$	1.98558	+	0.208693i	0.455524	+	0.0478775i	0.126012	+	0.992029i	$0.459782\pi$
$20$	−0.952876	+	0.309608i	−0.213070	+	0.0692305i
$21$	−4.89233	−	0.514205i	−1.06760	−	0.112209i
$22$	−1.73128	+	5.32833i	−0.369110	+	1.13600i
$23$	8.54065	−	1.81537i	1.78085	−	0.378531i	0.804367	−	0.594132i	$-0.202504\pi$
$23$	8.54065	−	1.81537i	1.78085	−	0.378531i	0.976482	+	0.215601i	$0.0691710\pi$
$24$	−3.12361	+	1.01492i	−0.637605	+	0.207170i
$25$	−2.24752	+	3.89281i	−0.449503	+	0.778563i
$26$	6.17597	+	2.48728i	1.21121	+	0.487796i
$27$	2.87419	+	8.84586i	0.553139	+	1.70239i
$28$	1.35251	+	1.86157i	0.255601	+	0.351804i
$29$	−1.05327	+	10.0212i	−0.195587	+	1.86089i	0.253412	+	0.967358i	$0.418447\pi$
$29$	−1.05327	+	10.0212i	−0.195587	+	1.86089i	−0.449000	+	0.893532i	$0.648220\pi$
$30$	−1.97767	+	3.42542i	−0.361071	+	0.625393i
$31$	−3.56868	−	4.27370i	−0.640953	−	0.767580i
$31$	−3.56868	−	4.27370i	−0.640953	−	0.767580i
$32$	5.84001	+	3.37173i	1.03238	+	0.596044i
$33$	3.71967	+	8.35451i	0.647511	+	1.45433i
$34$	−10.6971	+	1.12431i	−1.83453	+	0.192817i
$35$	−1.13438	−	0.241119i	−0.191745	−	0.0407566i
$36$	4.29023	−	7.43089i	0.715038	−	1.23848i
$37$			5.94802i			0.977849i	0.872326	+	0.488924i	$0.162611\pi$
$37$			5.94802i			0.977849i	−0.872326	+	0.488924i	$0.837389\pi$
$38$	−3.60621	−	0.766524i	−0.585005	−	0.124347i
$39$	10.2085	−	3.72842i	1.63466	−	0.597025i
$40$	−0.757368	+	0.160984i	−0.119750	+	0.0254537i
$41$	−0.889188	−	1.99715i	−0.138868	−	0.311902i	0.830702	−	0.556717i	$-0.187939\pi$
$41$	−0.889188	−	1.99715i	−0.138868	−	0.311902i	−0.969570	+	0.244815i	$0.921273\pi$
$42$	8.88545	+	1.88866i	1.37105	+	0.291427i
$43$	−0.0708157	+	0.673766i	−0.0107993	+	0.102748i	−0.998594	−	0.0530147i	$-0.983117\pi$
$43$	−0.0708157	+	0.673766i	−0.0107993	+	0.102748i	0.987794	+	0.155763i	$0.0497836\pi$
$44$	1.73990	−	3.90788i	0.262300	−	0.589135i
$45$	0.899126	+	4.23005i	0.134034	+	0.630579i
$46$	−16.0352	+	1.68537i	−2.36426	+	0.248494i
$47$	5.04363	+	6.94196i	0.735689	+	1.01259i	0.998855	+	0.0478390i	$0.0152334\pi$
$47$	5.04363	+	6.94196i	0.735689	+	1.01259i	−0.263166	+	0.964751i	$0.584767\pi$
$48$	14.2464	−	3.02817i	2.05630	−	0.437079i
$49$	−0.453293	−	4.31279i	−0.0647561	−	0.616113i
$50$	4.87893	−	6.71528i	0.689985	−	0.949683i
$51$	−11.7481	+	13.0476i	−1.64506	+	1.82702i
$52$	−4.49120	−	2.38162i	−0.622817	−	0.330271i
$53$	−8.67192	+	1.84327i	−1.19118	+	0.253193i	−0.760516	−	0.649319i	$-0.775054\pi$
$53$	−8.67192	+	1.84327i	−1.19118	+	0.253193i	−0.430664	+	0.902512i	$0.641720\pi$
$54$	−3.57096	−	16.8001i	−0.485947	−	2.28620i
$55$	0.666231	+	2.05045i	0.0898345	+	0.276482i
$56$	0.889128	+	1.54002i	0.118815	+	0.205793i
$57$	−5.21175	+	3.00900i	−0.690313	+	0.398552i
$58$	3.86863	−	18.2005i	0.507976	−	2.38984i
$59$	4.10760	−	9.22582i	0.534764	−	1.20110i	−0.421026	−	0.907048i	$-0.638330\pi$
$59$	4.10760	−	9.22582i	0.534764	−	1.20110i	0.955790	−	0.294050i	$-0.0950033\pi$
$60$	1.77512	−	2.44325i	0.229167	−	0.315422i
$61$	−0.451921	+	0.782751i	−0.0578626	+	0.100221i	−0.893506	−	0.449052i	$-0.851762\pi$
$61$	−0.451921	+	0.782751i	−0.0578626	+	0.100221i	0.835643	+	0.549273i	$0.185095\pi$
$62$	5.72890	+	8.53743i	0.727572	+	1.08425i
$63$	8.60130	−	4.96596i	1.08366	−	0.625652i
$64$	−2.25601	−	1.63909i	−0.282002	−	0.204886i
$65$	2.48534	−	0.622597i	0.308269	−	0.0772236i
$66$	−5.21851	−	16.0609i	−0.642354	−	1.97696i
$67$	9.72969	+	5.61744i	1.18867	+	0.686279i	0.958004	−	0.286754i	$-0.0925762\pi$
$67$	9.72969	+	5.61744i	1.18867	+	0.686279i	0.230666	+	0.973033i	$0.425910\pi$
$68$	8.21252			0.995914
$69$	−17.6107	+	19.5587i	−2.12008	+	2.35459i
$70$	2.03673	+	0.661773i	0.243435	+	0.0790970i
$71$	1.01462	+	0.329670i	0.120413	+	0.0391246i	0.368604	−	0.929587i	$-0.379836\pi$
$71$	1.01462	+	0.329670i	0.120413	+	0.0391246i	−0.248191	+	0.968711i	$0.579836\pi$
$72$	3.89764	−	5.36464i	0.459341	−	0.632228i
$73$	−1.98081	−	1.78353i	−0.231836	−	0.208746i	0.545022	−	0.838422i	$-0.316521\pi$
$73$	−1.98081	−	1.78353i	−0.231836	−	0.208746i	−0.776858	+	0.629675i	$0.783188\pi$
$74$	1.14810	−	10.9235i	0.133464	−	1.26983i
$75$	−1.41627	−	13.4749i	−0.163537	−	1.55595i
$76$	2.67719	+	0.869872i	0.307095	+	0.0997812i
$77$	4.00582	−	2.91040i	0.456506	−	0.331671i
$78$	−19.4674	+	4.87673i	−2.20425	+	0.552181i
$79$	4.17208	+	4.63357i	0.469396	+	0.521317i	0.930630	−	0.365962i	$-0.119260\pi$
$79$	4.17208	+	4.63357i	0.469396	+	0.521317i	−0.461234	+	0.887278i	$0.652593\pi$
$80$	3.41482	−	0.358912i	0.381788	−	0.0401276i
$81$	−7.91112	−	5.74776i	−0.879013	−	0.638640i
$82$	1.24749	+	3.83937i	0.137762	+	0.423987i
$83$	4.66118	+	0.489910i	0.511631	+	0.0537746i	0.356827	−	0.934171i	$-0.383859\pi$
$83$	4.66118	+	0.489910i	0.511631	+	0.0537746i	0.154804	+	0.987945i	$0.450525\pi$
$84$	−6.59641	−	2.14330i	−0.719727	−	0.233854i
$85$	−3.07596	+	2.76961i	−0.333635	+	0.300406i
$86$	0.260104	−	1.22369i	0.0280477	−	0.131954i
$87$	−15.1864	−	26.3036i	−1.62815	−	2.82004i
$88$	1.65293	−	2.86295i	0.176202	−	0.305192i
$89$	6.63662	+	5.97564i	0.703480	+	0.633417i	0.941174	−	0.337924i	$-0.109725\pi$
$89$	6.63662	+	5.97564i	0.703480	+	0.633417i	−0.237693	+	0.971340i	$0.576391\pi$
$90$	−0.834736	−	7.94198i	−0.0879889	−	0.837159i
$91$	−3.12374	−	4.98670i	−0.327457	−	0.522748i
$92$	12.3108			1.28349
$93$	16.2744	+	4.09903i	1.68757	+	0.425049i
$94$	−7.92260	−	13.7224i	−0.817154	−	1.41535i
$95$	−1.29609	+	0.577056i	−0.132976	+	0.0592046i
$96$	−20.2151	+	2.12470i	−2.06320	+	0.216851i
$97$	−0.0473727	+	0.222871i	−0.00480997	+	0.0226291i	−0.980487	−	0.196583i	$-0.937015\pi$
$97$	−0.0473727	+	0.222871i	−0.00480997	+	0.0226291i	0.975677	+	0.219212i	$0.0703487\pi$
$98$			8.00787i			0.808917i
$99$	−15.9902	−	9.23192i	−1.60707	−	0.927843i
$100$	−4.24076	+	4.70984i	−0.424076	+	0.470984i
$101$	−8.07475	+	1.71634i	−0.803468	+	0.170782i	−0.591301	−	0.806451i	$-0.701385\pi$
$101$	−8.07475	+	1.71634i	−0.803468	+	0.170782i	−0.212167	+	0.977233i	$0.568052\pi$
$102$	24.0937	−	21.6940i	2.38563	−	2.14803i
$103$	−0.776287	+	7.38588i	−0.0764898	+	0.727752i	0.887319	+	0.461157i	$0.152565\pi$
$103$	−0.776287	+	7.38588i	−0.0764898	+	0.727752i	−0.963809	+	0.266595i	$0.914101\pi$
$104$	−3.25944	−	2.19326i	−0.319614	−	0.215067i
$105$	3.19347	−	1.42182i	0.311651	−	0.138756i
$106$	16.2816	−	1.71127i	1.58141	−	0.166213i
$107$	1.11289	−	3.42512i	0.107587	−	0.331119i	−0.882742	−	0.469858i	$-0.844305\pi$
$107$	1.11289	−	3.42512i	0.107587	−	0.331119i	0.990329	+	0.138739i	$0.0443050\pi$
$108$	1.37078	+	13.0421i	0.131903	+	1.25498i
$109$	5.75028	+	7.91458i	0.550777	+	0.758080i	0.990117	−	0.140241i	$-0.0447878\pi$
$109$	5.75028	+	7.91458i	0.550777	+	0.758080i	−0.439340	+	0.898321i	$0.644788\pi$
$110$	−0.827741	−	3.89421i	−0.0789220	−	0.371299i
$111$	−10.5383	−	14.5047i	−1.00025	−	1.37673i
$112$	−3.20744	−	7.20403i	−0.303075	−	0.680717i
$113$	0.387105	+	1.19139i	0.0364158	+	0.112076i	0.967612	−	0.252442i	$-0.0812337\pi$
$113$	0.387105	+	1.19139i	0.0364158	+	0.112076i	−0.931196	+	0.364518i	$0.881234\pi$
$114$	10.1521	−	4.52001i	0.950832	−	0.423338i
$115$	−4.61095	+	4.15172i	−0.429974	+	0.387150i
$116$	−4.39023	+	13.5117i	−0.407623	+	1.25453i
$117$	−12.2498	+	18.2046i	−1.13249	+	1.68302i
$118$	−9.32433	+	16.1502i	−0.858374	+	1.48675i
$119$	8.23247	+	4.75302i	0.754669	+	0.435708i
$120$	1.56168	−	1.73442i	0.142561	−	0.158331i
$121$	1.63983	+	0.730100i	0.149076	+	0.0663727i
$122$	0.981035	−	1.35028i	0.0888188	−	0.122249i
$123$	5.70677	+	3.29480i	0.514562	+	0.297082i
$124$	−3.66885	−	6.94011i	−0.329473	−	0.623240i
$125$		−	6.74726i		−	0.603493i
$126$	−16.7547	+	7.45967i	−1.49263	+	0.664561i
$127$	−16.3353	+	11.8683i	−1.44953	+	1.05314i	−0.463585	+	0.886052i	$0.653437\pi$
$127$	−16.3353	+	11.8683i	−1.44953	+	1.05314i	−0.985942	+	0.167091i	$0.946563\pi$
$128$	−6.19599	−	5.57889i	−0.547653	−	0.493109i
$129$	−1.02104	−	1.76850i	−0.0898978	−	0.155708i
$130$	−4.68447	+	0.663663i	−0.410855	+	0.0582071i
$131$	−1.15841	−	0.246228i	−0.101211	−	0.0215130i	0.157028	−	0.987594i	$-0.449809\pi$
$131$	−1.15841	−	0.246228i	−0.101211	−	0.0215130i	−0.258239	+	0.966081i	$0.583142\pi$
$132$	2.68083	+	12.6123i	0.233336	+	1.09776i
$133$	2.18025	+	2.42142i	0.189052	+	0.209963i
$134$	−16.7841	−	12.1944i	−1.44993	−	1.05343i
$135$	−4.91177	−	4.42257i	−0.422738	−	0.380635i
$136$	6.31194	+	0.663412i	0.541244	+	0.0568871i
$137$	10.8246	+	14.8989i	0.924812	+	1.27289i	0.961849	+	0.273581i	$0.0882081\pi$
$137$	10.8246	+	14.8989i	0.924812	+	1.27289i	−0.0370367	+	0.999314i	$0.511792\pi$
$138$	36.1171	−	32.5200i	3.07449	−	2.76828i
$139$	0.402635	+	3.83082i	0.0341510	+	0.324926i	0.998238	+	0.0593384i	$0.0188991\pi$
$139$	0.402635	+	3.83082i	0.0341510	+	0.324926i	−0.964087	+	0.265587i	$0.914434\pi$
$140$	−1.49377	−	0.665068i	−0.126246	−	0.0562085i
$141$	−24.5986	−	7.99257i	−2.07158	−	0.673096i
$142$	−1.79970	−	0.801278i	−0.151027	−	0.0672417i
$143$	−5.12489	+	9.66438i	−0.428565	+	0.808176i
$144$	−19.6763	+	21.8528i	−1.63969	+	1.82107i
$145$	−2.91239	−	6.54133i	−0.241861	−	0.543228i
$146$	3.29347	+	3.65776i	0.272569	+	0.302719i
$147$	8.74650	+	9.71397i	0.721399	+	0.801195i
$148$	−1.74362	+	8.20307i	−0.143324	+	0.674288i
$149$	16.3955	−	9.46596i	1.34317	−	0.775481i	0.355901	−	0.934524i	$-0.384174\pi$
$149$	16.3955	−	9.46596i	1.34317	−	0.775481i	0.987272	+	0.159042i	$0.0508406\pi$
$150$			25.0199i			2.04287i
$151$	8.60723	−	2.79666i	0.700447	−	0.227589i	0.0629216	−	0.998018i	$-0.479958\pi$
$151$	8.60723	−	2.79666i	0.700447	−	0.227589i	0.637525	+	0.770429i	$0.279958\pi$
$152$	1.98736	+	0.884828i	0.161196	+	0.0717690i
$153$	3.70529	−	35.2535i	0.299555	−	2.85007i
$154$	−7.91841	+	4.57169i	−0.638083	+	0.368398i
$155$	3.71465	+	1.36209i	0.298368	+	0.109406i
$156$	15.1717	−	2.14943i	1.21471	−	0.172092i
$157$	6.17405	+	4.48571i	0.492743	+	0.357999i	0.806238	−	0.591591i	$-0.201500\pi$
$157$	6.17405	+	4.48571i	0.492743	+	0.357999i	−0.313495	+	0.949590i	$0.601500\pi$
$158$	−6.76759	−	9.31478i	−0.538400	−	0.741044i
$159$	17.8814	−	19.8593i	1.41809	−	1.57494i
$160$	−4.79197			−0.378838
$161$	12.3407	+	7.12491i	0.972583	+	0.561521i
$162$	13.4192	+	12.0827i	1.05431	+	0.949307i
$163$	10.1936	−	9.17832i	0.798421	−	0.718901i	−0.165175	−	0.986264i	$-0.552819\pi$
$163$	10.1936	−	9.17832i	0.798421	−	0.718901i	0.963596	+	0.267363i	$0.0861522\pi$
$164$	−0.640853	−	3.01498i	−0.0500422	−	0.235430i
$165$	−5.25750	−	3.81980i	−0.409296	−	0.297371i
$166$	−8.46562	−	1.79942i	−0.657060	−	0.139662i
$167$	2.36236	−	3.25151i	0.182805	−	0.251609i	−0.707773	−	0.706440i	$-0.750300\pi$
$167$	2.36236	−	3.25151i	0.182805	−	0.251609i	0.890578	+	0.454830i	$0.150300\pi$
$168$	−4.89670	−	2.18015i	−0.377789	−	0.168202i
$169$	11.0399	+	6.86445i	0.849223	+	0.528035i
$170$	6.18356	−	4.49262i	0.474257	−	0.344568i
$171$	4.94194	−	11.0998i	0.377920	−	0.848822i
$172$	−0.295173	+	0.908449i	−0.0225067	+	0.0692686i
$173$	5.95095	−	4.32362i	0.452442	−	0.328719i	−0.338117	−	0.941104i	$-0.609790\pi$
$173$	5.95095	−	4.32362i	0.452442	−	0.328719i	0.790559	+	0.612385i	$0.209790\pi$
$174$	22.8124	+	51.2375i	1.72940	+	3.88431i
$175$	−6.97689	+	2.26693i	−0.527403	+	0.171364i
$176$	−8.61693	+	11.8602i	−0.649526	+	0.893996i
$177$	6.32897	+	29.7754i	0.475714	+	2.23806i
$178$	−11.0346	−	12.2552i	−0.827080	−	0.918566i
$179$	4.21364	+	12.9683i	0.314942	+	0.969293i	0.975778	+	0.218762i	$0.0702019\pi$
$179$	4.21364	+	12.9683i	0.314942	+	0.969293i	−0.660836	+	0.750530i	$0.729798\pi$
$180$			6.09735i			0.454470i
$181$	−4.96100	−	8.59271i	−0.368748	−	0.638691i	0.620622	−	0.784110i	$-0.286880\pi$
$181$	−4.96100	−	8.59271i	−0.368748	−	0.638691i	−0.989370	+	0.145419i	$0.953547\pi$
$182$	4.77416	+	9.76095i	0.353884	+	0.723530i
$183$	−0.284778	−	2.70948i	−0.0210514	−	0.200291i
$184$	9.46178	+	0.994473i	0.697532	+	0.0733135i
$185$	−2.11336	−	3.66045i	−0.155377	−	0.269121i
$186$	−29.0964	−	10.6691i	−2.13345	−	0.782298i
$187$		−	17.6721i		−	1.29231i
$188$	4.92082	+	11.0523i	0.358888	+	0.806075i
$189$	−6.17404	+	13.8671i	−0.449095	+	1.00868i
$190$	2.49163	−	0.809580i	0.180762	−	0.0587331i
$191$	16.7474			1.21180			0.605901	−	0.795540i	$-0.292813\pi$
$191$	16.7474			1.21180			0.605901	+	0.795540i	$0.292813\pi$
$192$	8.40550			0.606615
$193$	3.47449	−	1.12893i	0.250099	−	0.0812621i	−0.181285	−	0.983431i	$-0.558026\pi$
$193$	3.47449	−	1.12893i	0.250099	−	0.0812621i	0.431384	+	0.902169i	$0.358026\pi$
$194$	0.130018	−	0.400156i	0.00933478	−	0.0287295i
$195$	−4.95763	+	5.92161i	−0.355023	+	0.424055i
$196$	0.639114	−	6.08076i	0.0456510	−	0.434340i
$197$	−4.19475	+	19.7347i	−0.298863	+	1.40604i	0.530667	+	0.847580i	$0.321941\pi$
$197$	−4.19475	+	19.7347i	−0.298863	+	1.40604i	−0.829531	+	0.558461i	$0.811392\pi$
$198$	27.5837	+	20.0408i	1.96029	+	1.42423i
$199$	−14.4897	+	10.5274i	−1.02715	+	0.746265i	−0.967735	−	0.251969i	$-0.918922\pi$
$199$	−14.4897	+	10.5274i	−1.02715	+	0.746265i	−0.0594101	+	0.998234i	$0.518922\pi$
$200$	−3.63981	+	3.27730i	−0.257373	+	0.231740i
$201$	−33.6792	+	3.53983i	−2.37555	+	0.249680i
$202$	15.1605	−	1.59343i	1.06669	−	0.112113i
$203$	−12.2208	+	11.0037i	−0.857735	+	0.772308i
$204$	−20.0269	+	14.5504i	−1.40216	+	1.01873i
$205$	1.25681	+	0.913123i	0.0877792	+	0.0637753i
$206$	2.85128	−	13.4142i	0.198658	−	0.934613i
$207$	5.55433	−	52.8460i	0.386053	−	3.67305i
$208$	13.3583	+	11.1837i	0.926234	+	0.775452i
$209$	1.87183	−	5.76091i	0.129477	−	0.398491i
$210$	−6.13920	+	1.99475i	−0.423645	+	0.137651i
$211$	9.57258			0.659004			0.329502	−	0.944155i	$-0.393119\pi$
$211$	9.57258			0.659004			0.329502	+	0.944155i	$0.393119\pi$
$212$	−12.5000			−0.858504
$213$	−3.05831	+	0.993707i	−0.209552	+	0.0680877i
$214$	−2.70493	+	6.07538i	−0.184905	+	0.415304i
$215$	−0.195812	−	0.439800i	−0.0133543	−	0.0299941i
$216$			10.1346i			0.689570i
$217$	0.338840	−	9.08032i	0.0230020	−	0.616412i
$218$	−9.03262	−	15.6450i	−0.611766	−	1.05961i
$219$	7.99029	+	0.839814i	0.539934	+	0.0567493i
$220$	0.317743	+	3.02312i	0.0214222	+	0.203819i
$221$	−20.9519	−	1.44172i	−1.40937	−	0.0969808i
$222$	16.5537	+	28.6718i	1.11101	+	1.92433i
$223$		−	1.32442i		−	0.0886899i	−0.999016	−	0.0443449i	$-0.985880\pi$
$223$		−	1.32442i		−	0.0886899i	0.999016	−	0.0443449i	$-0.0141201\pi$
$224$	3.40085	+	10.4668i	0.227229	+	0.699339i
$225$	18.3044	+	20.3291i	1.22029	+	1.35527i
$226$	−0.480949	−	2.26269i	−0.0319922	−	0.150512i
$227$	6.31666	−	8.69414i	0.419252	−	0.577050i	−0.546193	−	0.837659i	$-0.683923\pi$
$227$	6.31666	−	8.69414i	0.419252	−	0.577050i	0.965444	+	0.260609i	$0.0839234\pi$
$228$	−8.06973	+	2.62201i	−0.534431	+	0.173647i
$229$	5.13055	+	11.5234i	0.339037	+	0.761489i	0.999939	+	0.0110171i	$0.00350691\pi$
$229$	5.13055	+	11.5234i	0.339037	+	0.761489i	−0.660903	+	0.750472i	$0.729826\pi$
$230$	9.26933	−	6.73456i	0.611201	−	0.444064i
$231$	−4.61207	+	14.1945i	−0.303452	+	0.933928i
$232$	−4.46571	+	10.0301i	−0.293188	+	0.658512i
$233$	13.4294	−	9.75702i	0.879789	−	0.639204i	−0.0534069	−	0.998573i	$-0.517008\pi$
$233$	13.4294	−	9.75702i	0.879789	−	0.639204i	0.933196	+	0.359369i	$0.117008\pi$
$234$	26.0104	−	31.0680i	1.70036	−	2.03098i
$235$	−5.57039	−	2.48010i	−0.363372	−	0.161784i
$236$	8.36937	−	11.5195i	0.544800	−	0.749852i
$237$	−18.3834	−	3.90751i	−1.19413	−	0.253820i
$238$	−14.2014	−	10.3179i	−0.920538	−	0.668810i
$239$	−4.54764	−	21.3949i	−0.294162	−	1.38392i	−0.838429	−	0.545012i	$-0.816525\pi$
$239$	−4.54764	−	21.3949i	−0.294162	−	1.38392i	0.544266	−	0.838912i	$-0.316808\pi$
$240$	−7.69141	+	6.92538i	−0.496479	+	0.447031i
$241$	−2.08246	−	1.87506i	−0.134143	−	0.120783i	0.599328	−	0.800503i	$-0.295434\pi$
$241$	−2.08246	−	1.87506i	−0.134143	−	0.120783i	−0.733471	+	0.679720i	$0.762101\pi$
$242$	−2.87060	−	1.65734i	−0.184529	−	0.106538i
$243$	1.57213			0.100852
$244$	−0.852714	+	0.947035i	−0.0545894	+	0.0606277i
$245$	1.81131	+	2.49306i	0.115721	+	0.159276i
$246$	−9.84442	−	7.15239i	−0.627657	−	0.456020i
$247$	−6.67737	−	2.68921i	−0.424871	−	0.171111i
$248$	−2.25917	−	5.63037i	−0.143457	−	0.357529i
$249$	−12.2346	+	7.06367i	−0.775339	+	0.447642i
$250$	−1.30237	+	12.3912i	−0.0823692	+	0.783691i
$251$	−9.95460	−	4.43208i	−0.628329	−	0.279750i	0.0677643	−	0.997701i	$-0.478413\pi$
$251$	−9.95460	−	4.43208i	−0.628329	−	0.279750i	−0.696093	+	0.717951i	$0.745080\pi$
$252$	13.3180	−	4.32728i	0.838956	−	0.272593i
$253$		−	26.4910i		−	1.66547i
$254$	32.2905	−	18.6429i	2.02608	−	1.16976i
$255$	2.59397	−	12.2037i	0.162441	−	0.764225i
$256$	14.0338	+	15.5862i	0.877115	+	0.974135i
$257$	−16.2514	−	18.0490i	−1.01373	−	1.12587i	−0.992017	−	0.126101i	$-0.959754\pi$
$257$	−16.2514	−	18.0490i	−1.01373	−	1.12587i	−0.0217160	−	0.999764i	$-0.506913\pi$
$258$	1.53377	+	3.44491i	0.0954884	+	0.214470i
$259$	−6.49540	+	7.21387i	−0.403605	+	0.448248i
$260$	3.61011	−	0.130081i	0.223889	−	0.00806727i
$261$	56.0204	+	24.9419i	3.46758	+	1.54386i
$262$	2.07988	+	0.675793i	0.128495	+	0.0417506i
$263$	9.15548	+	4.07628i	0.564551	+	0.251354i	0.669109	−	0.743164i	$-0.266676\pi$
$263$	9.15548	+	4.07628i	0.564551	+	0.251354i	−0.104558	+	0.994519i	$0.533343\pi$
$264$	1.04159	+	9.91008i	0.0641055	+	0.609923i
$265$	4.68182	−	4.21553i	0.287602	−	0.258958i
$266$	−3.53662	−	4.86774i	−0.216844	−	0.298460i
$267$	−26.7712	−	2.81376i	−1.63837	−	0.172199i
$268$	11.7718	+	10.5993i	0.719074	+	0.647457i
$269$	−8.22364	−	5.97483i	−0.501404	−	0.364292i	0.308149	−	0.951338i	$-0.400291\pi$
$269$	−8.22364	−	5.97483i	−0.501404	−	0.364292i	−0.809553	+	0.587047i	$0.800291\pi$
$270$	8.16673	+	9.07007i	0.497011	+	0.551987i
$271$	−5.16345	−	24.2921i	−0.313657	−	1.47564i	−0.799007	−	0.601322i	$-0.794641\pi$
$271$	−5.16345	−	24.2921i	−0.313657	−	1.47564i	0.485350	−	0.874320i	$-0.338692\pi$
$272$	−27.5298	−	5.85165i	−1.66924	−	0.354808i
$273$	16.4526	+	6.62603i	0.995755	+	0.401026i
$274$	−17.0035	−	29.4509i	−1.02722	−	1.77920i
$275$	10.1349	+	9.12547i	0.611155	+	0.550287i
$276$	−30.0209	+	21.8114i	−1.80704	+	1.31289i
$277$	−18.9686	+	8.44535i	−1.13971	+	0.507432i	−0.887759	−	0.460308i	$-0.847739\pi$
$277$	−18.9686	+	8.44535i	−1.13971	+	0.507432i	−0.251951	+	0.967740i	$0.581072\pi$
$278$		−	7.11295i		−	0.426607i
$279$	−31.4468	+	12.6179i	−1.88267	+	0.755414i
$280$	−1.09435	−	0.631823i	−0.0653999	−	0.0377586i
$281$	−16.2228	+	22.3287i	−0.967768	+	1.33202i	−0.0246021	+	0.999697i	$0.507832\pi$
$281$	−16.2228	+	22.3287i	−0.967768	+	1.33202i	−0.943166	+	0.332321i	$0.892168\pi$
$282$	43.6322	+	19.4263i	2.59826	+	1.15682i
$283$	−15.2549	+	16.9423i	−0.906812	+	1.00712i	0.0931228	+	0.995655i	$0.470315\pi$
$283$	−15.2549	+	16.9423i	−0.906812	+	1.00712i	−0.999934	+	0.0114616i	$0.996352\pi$
$284$	1.30265	+	0.752084i	0.0772979	+	0.0446280i
$285$	2.13823	−	3.70352i	0.126658	−	0.219377i
$286$	11.2772	−	16.7593i	0.666836	−	0.990997i
$287$	1.10252	−	3.39320i	0.0650795	−	0.200294i
$288$	30.4977	−	27.4603i	1.79710	−	1.61811i
$289$	15.4642	−	6.88508i	0.909656	−	0.405005i
$290$	4.08594	+	12.5752i	0.239934	+	0.738442i
$291$	−0.279346	−	0.627421i	−0.0163755	−	0.0367801i
$292$	−2.20896	−	3.04037i	−0.129269	−	0.177924i
$293$	1.90038	+	8.94057i	0.111021	+	0.522314i	0.998150	+	0.0607927i	$0.0193628\pi$
$293$	1.90038	+	8.94057i	0.111021	+	0.522314i	−0.887129	+	0.461521i	$0.847304\pi$
$294$	−14.1878	−	19.5278i	−0.827449	−	1.13889i
$295$	0.750136	+	7.13707i	0.0436746	+	0.415536i
$296$	−2.00275	+	6.16383i	−0.116408	+	0.358265i
$297$	28.0646	−	2.94971i	1.62847	−	0.171160i
$298$	−31.9373	+	14.2194i	−1.85008	+	0.823707i
$299$	−31.4074	−	2.16118i	−1.81634	−	0.124985i
$300$	1.99685	−	18.9988i	0.115288	−	1.09690i
$301$	−0.821657	+	0.739824i	−0.0473595	+	0.0426427i
$302$	−16.3469	+	3.47464i	−0.940657	+	0.199943i
$303$	16.6500	−	18.4917i	0.956519	−	1.06232i
$304$	−8.35462	−	4.82354i	−0.479170	−	0.276649i
$305$		−	0.642279i		−	0.0367768i
$306$	−13.6094	+	64.0273i	−0.777999	+	3.66020i
$307$	8.69712	−	0.914104i	0.496371	−	0.0521707i	0.146964	−	0.989142i	$-0.453050\pi$
$307$	8.69712	−	0.914104i	0.496371	−	0.0521707i	0.349407	+	0.936971i	$0.386383\pi$
$308$	6.37769	−	2.83953i	0.363403	−	0.161797i
$309$	−11.1928	−	19.3864i	−0.636734	−	1.10285i
$310$	−6.55899	−	3.21848i	−0.372525	−	0.182797i
$311$	27.4653			1.55741			0.778707	−	0.627387i	$-0.215876\pi$
$311$	27.4653			1.55741			0.778707	+	0.627387i	$0.215876\pi$
$312$	11.8343	−	0.426417i	0.669983	−	0.0241411i
$313$	0.207123	+	1.97065i	0.0117073	+	0.111387i	0.998815	−	0.0486707i	$-0.0154985\pi$
$313$	0.207123	+	1.97065i	0.0117073	+	0.111387i	−0.987108	+	0.160058i	$0.948832\pi$
$314$	−10.4727	−	9.42968i	−0.591010	−	0.532147i
$315$	−3.52886	+	6.11216i	−0.198829	+	0.344381i
$316$	4.39553	+	7.61329i	0.247268	+	0.428281i
$317$	0.796745	−	3.74839i	0.0447497	−	0.210531i	−0.950092	−	0.311970i	$-0.899011\pi$
$317$	0.796745	−	3.74839i	0.0447497	−	0.210531i	0.994842	+	0.101439i	$0.0323446\pi$
$318$	−36.6722	+	33.0198i	−2.05647	+	1.85166i
$319$	29.0752	+	9.44711i	1.62790	+	0.528937i
$320$	1.97074	+	0.207133i	0.110168	+	0.0115791i
$321$	3.35453	+	10.3242i	0.187232	+	0.576240i
$322$	−21.2883	−	15.4668i	−1.18635	−	0.861932i
$323$	11.5655	−	1.21558i	0.643522	−	0.0676369i
$324$	−9.22551	−	10.2460i	−0.512529	−	0.569221i
$325$	11.6459	−	11.2713i	0.645998	−	0.625220i
$326$	−20.4919	+	14.8883i	−1.13494	+	0.824585i
$327$	−28.0450	−	9.11239i	−1.55089	−	0.503916i
$328$	−0.248993	−	2.36901i	−0.0137483	−	0.130807i
$329$	−1.46380	+	13.9271i	−0.0807019	+	0.767828i
$330$	8.91801	+	8.02981i	0.490920	+	0.442027i
$331$	6.70201	−	9.22453i	0.368376	−	0.507026i	−0.584083	−	0.811694i	$-0.698546\pi$
$331$	6.70201	−	9.22453i	0.368376	−	0.507026i	0.952458	+	0.304668i	$0.0985456\pi$
$332$	6.28474	+	2.04204i	0.344920	+	0.112071i
$333$	34.4262	+	11.1858i	1.88655	+	0.612976i
$334$	−4.96605	+	5.51536i	−0.271730	+	0.301787i
$335$	−7.98360			−0.436191
$336$	20.5852	+	11.8849i	1.12301	+	0.648373i
$337$	−3.16021	−	9.72612i	−0.172148	−	0.529816i	0.827344	−	0.561695i	$-0.189851\pi$
$337$	−3.16021	−	9.72612i	−0.172148	−	0.529816i	−0.999492	+	0.0318796i	$0.989851\pi$
$338$	−18.9496	−	14.7374i	−1.03072	−	0.801610i
$339$	−3.05481	−	2.21945i	−0.165914	−	0.120544i
$340$	−5.05403	+	2.91794i	−0.274093	+	0.158248i
$341$	−14.9341	+	7.89482i	−0.808725	+	0.427528i
$342$	−11.2183	+	19.4307i	−0.606617	+	1.05069i
$343$	10.8748	−	14.9679i	0.587185	−	0.808191i
$344$	−0.300248	+	0.674368i	−0.0161883	+	0.0363595i
$345$	3.88844	−	18.2937i	0.209347	−	0.984899i
$346$	−11.7634	+	6.79160i	−0.632404	+	0.365118i
$347$	0.561842	+	0.973139i	0.0301613	+	0.0522408i	0.880712	−	0.473652i	$-0.157065\pi$
$347$	0.561842	+	0.973139i	0.0301613	+	0.0522408i	−0.850551	+	0.525893i	$0.823731\pi$
$348$	−13.2333	−	40.7278i	−0.709377	−	2.18324i
$349$	0.0671895	+	0.316102i	0.00359657	+	0.0169205i	0.979909	−	0.199444i	$-0.0639135\pi$
$349$	0.0671895	+	0.316102i	0.00359657	+	0.0169205i	−0.976313	+	0.216364i	$0.930580\pi$
$350$	13.2505	−	2.81649i	0.708270	−	0.150548i
$351$	−1.20758	−	33.5138i	−0.0644559	−	1.78883i
$352$	13.6901	−	15.2044i	0.729683	−	0.810395i
$353$	−16.2000	+	22.2973i	−0.862237	+	1.18677i	0.118795	+	0.992919i	$0.462097\pi$
$353$	−16.2000	+	22.2973i	−0.862237	+	1.18677i	−0.981032	+	0.193848i	$0.937903\pi$
$354$	−5.87573	−	55.9038i	−0.312291	−	2.97125i
$355$	−0.741535	+	0.157618i	−0.0393566	+	0.00836550i
$356$	7.40102	+	10.1866i	0.392254	+	0.539891i
$357$	−28.4966	+	2.99511i	−1.50820	+	0.158518i
$358$	−5.23513	−	24.6293i	−0.276685	−	1.30170i
$359$	3.49028	−	7.83930i	0.184210	−	0.413742i	−0.797709	−	0.603042i	$-0.793955\pi$
$359$	3.49028	−	7.83930i	0.184210	−	0.413742i	0.981919	+	0.189300i	$0.0606218\pi$
$360$	−0.492547	+	4.68627i	−0.0259595	+	0.246988i
$361$	−14.6858	−	3.12157i	−0.772938	−	0.164293i
$362$	7.45223	+	16.7380i	0.391680	+	0.879728i
$363$	−5.29240	+	1.12493i	−0.277779	+	0.0590438i
$364$	−2.84622	−	7.79298i	−0.149182	−	0.408463i
$365$	1.85270	+	0.393803i	0.0969745	+	0.0206126i
$366$			5.03090i			0.262969i
$367$	−16.0638	+	27.8233i	−0.838524	+	1.45237i	0.0526044	+	0.998615i	$0.483248\pi$
$367$	−16.0638	+	27.8233i	−0.838524	+	1.45237i	−0.891129	+	0.453751i	$0.850086\pi$
$368$	−41.2680	−	8.77179i	−2.15124	−	0.457261i
$369$	−13.2314	+	1.39067i	−0.688798	+	0.0723956i
$370$	3.17461	+	7.13028i	0.165040	+	0.370686i
$371$	−12.5304	−	7.23441i	−0.650544	−	0.375592i
$372$	21.2428	+	10.4238i	1.10139	+	0.540448i
$373$	−9.52025	+	16.4896i	−0.492940	+	0.853797i	−0.999967	−	0.00813321i	$-0.997411\pi$
$373$	−9.52025	+	16.4896i	−0.492940	+	0.853797i	0.507027	+	0.861930i	$0.330744\pi$
$374$	−3.41111	+	32.4546i	−0.176384	+	1.67819i
$375$	11.9543	+	16.4537i	0.617319	+	0.849667i
$376$	2.88921	+	8.89207i	0.149000	+	0.458574i
$377$	13.5724	−	33.7006i	0.699015	−	1.73567i
$378$	14.0152	−	24.2750i	0.720864	−	1.24857i
$379$	23.1514	−	7.52235i	1.18921	−	0.386397i	0.353428	−	0.935462i	$-0.385016\pi$
$379$	23.1514	−	7.52235i	1.18921	−	0.386397i	0.835780	+	0.549065i	$0.185016\pi$
$380$	−1.95663	+	0.415894i	−0.100373	+	0.0213349i
$381$	18.8075	−	57.8837i	0.963540	−	2.96547i
$382$	−30.7564	−	3.23263i	−1.57364	−	0.165396i
$383$	25.8532	−	8.40020i	1.32103	−	0.429230i	0.438184	−	0.898885i	$-0.355622\pi$
$383$	25.8532	−	8.40020i	1.32103	−	0.429230i	0.882850	+	0.469655i	$0.155622\pi$
$384$	24.9937	+	2.62694i	1.27545	+	0.134056i
$385$	−1.43113	+	3.21436i	−0.0729370	+	0.163819i
$386$	−6.59876	+	1.40261i	−0.335868	+	0.0713909i
$387$	3.76648	+	1.67695i	0.191461	+	0.0852439i
$388$	−0.130666	+	0.293480i	−0.00663356	+	0.0148992i
$389$	−14.2059	−	15.7773i	−0.720268	−	0.799939i	0.266195	−	0.963919i	$-0.414233\pi$
$389$	−14.2059	−	15.7773i	−0.720268	−	0.799939i	−0.986464	+	0.163980i	$0.947567\pi$
$390$	10.2476	−	9.91802i	0.518908	−	0.502218i
$391$	46.4615	−	20.6860i	2.34966	−	1.04614i
$392$	0.982415	−	4.62190i	0.0496194	−	0.233441i
$393$	3.26113	−	1.45195i	0.164502	−	0.0732411i
$394$	11.5128	−	35.4329i	0.580008	−	1.78508i
$395$	−4.21385	−	1.36916i	−0.212022	−	0.0688900i
$396$	−19.3462	−	17.4194i	−0.972182	−	0.875357i
$397$	−0.231754	+	0.133803i	−0.0116314	+	0.00671540i	−0.505804	−	0.862648i	$-0.668804\pi$
$397$	−0.231754	+	0.133803i	−0.0116314	+	0.00671540i	0.494173	+	0.869364i	$0.335471\pi$
$398$	28.6421	−	16.5365i	1.43570	−	0.828901i
$399$	−9.60682	−	2.04199i	−0.480943	−	0.102228i
$400$	17.5717	−	12.7666i	0.878584	−	0.638329i
$401$	−17.3558	−	1.82417i	−0.866709	−	0.0910948i	−0.339271	−	0.940689i	$-0.610181\pi$
$401$	−17.3558	−	1.82417i	−0.866709	−	0.0910948i	−0.527438	+	0.849594i	$0.676847\pi$
$402$	62.5346			3.11894
$403$	8.14167	+	18.3497i	0.405565	+	0.914066i
$404$	−11.6392			−0.579074
$405$	6.91075	+	0.726349i	0.343398	+	0.0360926i
$406$	24.5674	−	17.8492i	1.21926	−	0.885843i
$407$	17.6518	+	3.75200i	0.874966	+	0.185980i
$408$	−16.5676	+	9.56528i	−0.820216	+	0.473552i
$409$	24.9639	−	14.4129i	1.23439	−	0.712673i	0.266444	−	0.963850i	$-0.414151\pi$
$409$	24.9639	−	14.4129i	1.23439	−	0.712673i	0.967941	+	0.251178i	$0.0808178\pi$
$410$	−2.13185	−	1.91953i	−0.105285	−	0.0947988i
$411$	−52.7935	−	17.1537i	−2.60411	−	0.846128i
$412$	−3.23571	+	9.95849i	−0.159412	+	0.490620i
$413$	15.0566	−	6.70364i	0.740888	−	0.329864i
$414$	−20.4009	+	95.9787i	−1.00265	+	4.71710i
$415$	−3.04258	+	1.35464i	−0.149354	+	0.0664969i
$416$	−16.9093	−	17.4712i	−0.829045	−	0.856596i
$417$	−7.76903	−	8.62839i	−0.380451	−	0.422534i
$418$	−4.54958	+	10.2185i	−0.222527	+	0.499805i
$419$	−12.4758	−	5.55457i	−0.609481	−	0.271359i	0.0786988	−	0.996898i	$-0.474923\pi$
$419$	−12.4758	−	5.55457i	−0.609481	−	0.271359i	−0.688180	+	0.725540i	$0.741590\pi$
$420$	4.82099	−	1.02473i	0.235240	−	0.0500019i
$421$	4.61096	−	10.3564i	0.224725	−	0.504740i	−0.765632	−	0.643278i	$-0.777574\pi$
$421$	4.61096	−	10.3564i	0.224725	−	0.504740i	0.990357	+	0.138539i	$0.0442405\pi$
$422$	−17.5799	−	1.84772i	−0.855777	−	0.0899458i
$423$	49.6640	−	16.1368i	2.41475	−	0.784599i
$424$	−9.60720	−	1.00976i	−0.466567	−	0.0490382i
$425$	−8.09081	+	24.9010i	−0.392462	+	1.20787i
$426$	5.80836	−	1.23460i	0.281416	−	0.0598168i
$427$	−1.40288	+	0.455825i	−0.0678903	+	0.0220589i
$428$	2.53886	−	4.39744i	0.122721	−	0.212558i
$429$	−4.62525	−	32.6473i	−0.223309	−	1.57623i
$430$	0.274714	+	0.845483i	0.0132479	+	0.0407728i
$431$	3.23224	+	4.44880i	0.155692	+	0.214291i	0.879736	−	0.475462i	$-0.157719\pi$
$431$	3.23224	+	4.44880i	0.155692	+	0.214291i	−0.724045	+	0.689753i	$0.757719\pi$
$432$	4.69776	−	44.6962i	0.226021	−	2.15045i
$433$	6.14637	−	10.6458i	0.295376	−	0.511606i	−0.679697	−	0.733493i	$-0.737889\pi$
$433$	6.14637	−	10.6458i	0.295376	−	0.511606i	0.975072	+	0.221888i	$0.0712219\pi$
$434$	−2.37498	+	16.6105i	−0.114003	+	0.797328i
$435$	18.6916	+	10.7916i	0.896193	+	0.517417i
$436$	5.61026	+	12.6009i	0.268683	+	0.603472i
$437$	17.3370	−	1.82219i	0.829342	−	0.0871674i
$438$	−14.5120	−	3.08461i	−0.693408	−	0.147388i
$439$	0.483565	−	0.837558i	0.0230793	−	0.0399745i	−0.854255	−	0.519854i	$-0.825986\pi$
$439$	0.483565	−	0.837558i	0.0230793	−	0.0399745i	0.877334	+	0.479880i	$0.159320\pi$
$440$			2.34917i			0.111992i
$441$	−25.8142	−	5.48698i	−1.22925	−	0.261285i
$442$	38.1995	+	6.69188i	1.81697	+	0.318300i
$443$	−0.475140	+	0.100994i	−0.0225746	+	0.00479837i	−0.219185	−	0.975683i	$-0.570340\pi$
$443$	−0.475140	+	0.100994i	−0.0225746	+	0.00479837i	0.196611	+	0.980482i	$0.437007\pi$
$444$	−10.2817	−	23.0931i	−0.487948	−	1.09595i
$445$	−6.20739	−	1.31942i	−0.294258	−	0.0625465i
$446$	−0.255643	+	2.43228i	−0.0121051	+	0.115172i
$447$	−23.2106	+	52.1319i	−1.09783	+	2.46576i
$448$	−0.946206	−	4.45155i	−0.0447040	−	0.210316i
$449$	−15.7319	+	1.65349i	−0.742433	+	0.0780329i	−0.468191	−	0.883628i	$-0.655094\pi$
$449$	−15.7319	+	1.65349i	−0.742433	+	0.0780329i	−0.274243	+	0.961660i	$0.588427\pi$
$450$	−29.6917	−	40.8672i	−1.39968	−	1.92650i
$451$	−6.48778	+	1.37902i	−0.305497	+	0.0649355i
$452$	0.184621	+	1.75655i	0.00868383	+	0.0826212i
$453$	−16.0345	+	22.0696i	−0.753366	+	1.03692i
$454$	−13.2786	+	14.7474i	−0.623197	+	0.692130i
$455$	3.69416	+	1.95896i	0.173185	+	0.0918376i
$456$	−6.41400	+	1.36334i	−0.300363	+	0.0638442i
$457$	−3.14567	−	14.7992i	−0.147148	−	0.692279i	−0.988430	−	0.151681i	$-0.951531\pi$
$457$	−3.14567	−	14.7992i	−0.147148	−	0.692279i	0.841281	−	0.540598i	$-0.181802\pi$
$458$	−7.19791	−	22.1529i	−0.336336	−	1.03514i
$459$	27.0882	+	46.9181i	1.26437	+	2.18995i
$460$	−7.57613	+	4.37408i	−0.353239	+	0.203943i
$461$	6.67054	−	31.3824i	0.310678	−	1.46163i	−0.494804	−	0.869005i	$-0.664760\pi$
$461$	6.67054	−	31.3824i	0.310678	−	1.46163i	0.805482	−	0.592620i	$-0.201907\pi$
$462$	11.2098	−	25.1777i	0.521529	−	1.17137i
$463$	−20.3356	+	27.9896i	−0.945077	+	1.30079i	0.00860294	+	0.999963i	$0.497262\pi$
$463$	−20.3356	+	27.9896i	−0.945077	+	1.30079i	−0.953680	+	0.300824i	$0.902738\pi$
$464$	24.3443	−	42.1656i	1.13016	−	1.95749i
$465$	−11.4717	+	3.25979i	−0.531989	+	0.151169i
$466$	−26.5462	+	15.3265i	−1.22973	+	0.709985i
$467$	23.1605	+	16.8271i	1.07174	+	0.778665i	0.976224	−	0.216763i	$-0.0695499\pi$
$467$	23.1605	+	16.8271i	1.07174	+	0.778665i	0.0955159	+	0.995428i	$0.469550\pi$
$468$	−22.2305	+	21.5155i	−1.02761	+	0.994556i
$469$	5.66595	+	17.4380i	0.261629	+	0.805213i
$470$	9.75123	+	5.62987i	0.449791	+	0.259687i
$471$	−23.0034			−1.05994
$472$	7.36304	−	8.17749i	0.338912	−	0.376399i
$473$	1.95485	+	0.635168i	0.0898839	+	0.0292051i
$474$	33.0066	+	10.7245i	1.51604	+	0.492592i
$475$	−5.27503	+	7.26046i	−0.242035	+	0.333133i
$476$	9.96030	+	8.96829i	0.456529	+	0.411061i
$477$	−5.63970	+	53.6582i	−0.258224	+	2.45684i
$478$	4.22196	+	40.1693i	0.193108	+	1.83730i
$479$	29.7661	+	9.67160i	1.36005	+	0.441907i	0.896059	−	0.443934i	$-0.146418\pi$
$479$	29.7661	+	9.67160i	1.36005	+	0.441907i	0.463989	+	0.885841i	$0.346418\pi$
$480$	11.6856	−	8.49008i	0.533372	−	0.387517i
$481$	5.88840	−	20.6217i	0.268488	−	0.940267i
$482$	3.46248	+	3.84547i	0.157712	+	0.175157i
$483$	−42.7172	+	4.48976i	−1.94370	+	0.204291i
$484$	2.04751	+	1.48760i	0.0930687	+	0.0676184i
$485$	−0.0500337	−	0.153988i	−0.00227191	−	0.00699223i
$486$	−2.88720	−	0.303457i	−0.130966	−	0.0137651i
$487$	4.34611	+	1.41214i	0.196941	+	0.0639901i	0.405827	−	0.913950i	$-0.366984\pi$
$487$	4.34611	+	1.41214i	0.196941	+	0.0639901i	−0.208886	+	0.977940i	$0.566984\pi$
$488$	−0.731877	+	0.658985i	−0.0331305	+	0.0298309i
$489$	−8.59628	+	40.4423i	−0.388737	+	1.82886i
$490$	−2.84523	−	4.92809i	−0.128535	−	0.222628i
$491$	−6.75207	+	11.6949i	−0.304716	+	0.527784i	−0.977198	−	0.212329i	$-0.931895\pi$
$491$	−6.75207	+	11.6949i	−0.304716	+	0.527784i	0.672482	+	0.740114i	$0.265228\pi$
$492$	6.90450	+	6.21684i	0.311279	+	0.280277i
$493$	6.13503	+	58.3709i	0.276308	+	2.62889i
$494$	11.7438	+	6.22758i	0.528379	+	0.280192i
$495$	13.1206			0.589726
$496$	7.35364	+	25.8787i	0.330188	+	1.16199i
$497$	0.870541	+	1.50782i	0.0390491	+	0.0676350i
$498$	23.8322	−	10.6108i	1.06795	−	0.475480i
$499$	−9.30439	+	0.977931i	−0.416522	+	0.0437782i	−0.310472	−	0.950583i	$-0.600487\pi$
$499$	−9.30439	+	0.977931i	−0.416522	+	0.0437782i	−0.106050	+	0.994361i	$0.533820\pi$
$500$	1.97791	−	9.30532i	0.0884547	−	0.416146i
$501$			12.1145i			0.541237i
$502$	17.4260	+	10.0609i	0.777760	+	0.449040i
$503$	−8.50870	+	9.44987i	−0.379384	+	0.421349i	−0.902349	−	0.431005i	$-0.858159\pi$
$503$	−8.50870	+	9.44987i	−0.379384	+	0.421349i	0.522965	+	0.852354i	$0.324826\pi$
$504$	10.5855	−	2.25001i	0.471514	−	0.100223i
$505$	4.35942	−	3.92524i	0.193992	−	0.174671i
$506$	−5.11335	+	48.6503i	−0.227316	+	2.16277i
$507$	−39.0836	+	2.82022i	−1.73577	+	0.125250i
$508$	−26.0076	+	11.5793i	−1.15390	+	0.513750i
$509$	28.5463	−	3.00034i	1.26529	−	0.132988i	0.551994	−	0.833848i	$-0.313867\pi$
$509$	28.5463	−	3.00034i	1.26529	−	0.132988i	0.713298	+	0.700860i	$0.247200\pi$
$510$	−7.11938	+	21.9112i	−0.315251	+	0.970244i
$511$	−0.454701	−	4.32619i	−0.0201148	−	0.191380i
$512$	−12.9631	−	17.8422i	−0.572895	−	0.788522i
$513$	3.86088	+	18.1640i	0.170462	+	0.801960i
$514$	26.3616	+	36.2836i	1.16276	+	1.60040i
$515$	−2.14650	−	4.82113i	−0.0945863	−	0.212444i
$516$	−0.889725	−	2.73829i	−0.0391680	−	0.120547i
$517$	23.7830	−	10.5889i	1.04597	−	0.465698i
$518$	13.3212	−	11.9944i	0.585298	−	0.527004i
$519$	−6.85157	+	21.0870i	−0.300751	+	0.925615i
$520$	2.78515	+	0.191650i	0.122137	+	0.00840439i
$521$	−18.5041	+	32.0500i	−0.810679	+	1.40414i	0.101710	+	0.994814i	$0.467569\pi$
$521$	−18.5041	+	32.0500i	−0.810679	+	1.40414i	−0.912389	+	0.409324i	$0.865765\pi$
$522$	−98.0663	−	56.6186i	−4.29225	−	2.47813i
$523$	−3.07681	+	3.41715i	−0.134540	+	0.149421i	−0.806650	−	0.591030i	$-0.798722\pi$
$523$	−3.07681	+	3.41715i	−0.134540	+	0.149421i	0.672110	+	0.740451i	$0.265388\pi$
$524$	−1.52541	−	0.679158i	−0.0666381	−	0.0296692i
$525$	12.9973	−	17.8893i	0.567249	−	0.780752i
$526$	−16.0271	−	9.25325i	−0.698815	−	0.403461i
$527$	−25.5080	−	20.0275i	−1.11115	−	0.872410i
$528$		−	44.1889i		−	1.92308i
$529$	48.6356	−	21.6540i	2.11459	−	0.941477i
$530$	−9.41179	+	6.83807i	−0.408822	+	0.297027i
$531$	−45.6729	−	41.1241i	−1.98204	−	1.78463i
$532$	2.29702	+	3.97856i	0.0995887	+	0.172493i
$533$	1.10567	+	7.80435i	0.0478917	+	0.338044i
$534$	48.6217	+	10.3349i	2.10407	+	0.447233i
$535$	0.532083	+	2.50325i	0.0230040	+	0.108225i
$536$	8.19126	+	9.09732i	0.353809	+	0.392944i
$537$	−33.2516	−	24.1587i	−1.43491	−	1.04252i
$538$	13.9493	+	12.5600i	0.601398	+	0.541501i
$539$	−13.0849	−	1.37528i	−0.563606	−	0.0592374i
$540$	−5.47750	−	7.53913i	−0.235714	−	0.324433i
$541$	−17.3497	+	15.6217i	−0.745921	+	0.671630i	−0.951721	−	0.306964i	$-0.900687\pi$
$541$	−17.3497	+	15.6217i	−0.745921	+	0.671630i	0.205801	+	0.978594i	$0.434020\pi$
$542$	4.79368	+	45.6088i	0.205906	+	1.95907i
$543$	27.3218	+	12.1644i	1.17249	+	0.522026i
$544$	37.3565	+	12.1379i	1.60165	+	0.520407i
$545$	−6.35084	−	2.82758i	−0.272040	−	0.121120i
$546$	−28.9359	−	15.3443i	−1.23834	−	0.656677i
$547$	20.1873	−	22.4202i	0.863145	−	0.958620i	−0.136341	−	0.990662i	$-0.543534\pi$
$547$	20.1873	−	22.4202i	0.863145	−	0.958620i	0.999487	+	0.0320421i	$0.0102011\pi$
$548$	10.5611	+	23.7206i	0.451147	+	1.01329i
$549$	3.68057	+	4.08768i	0.157083	+	0.174458i
$550$	−16.8511	−	18.7151i	−0.718534	−	0.798013i
$551$	−4.18271	+	19.6781i	−0.178189	+	0.838316i
$552$	−24.8352	+	14.3386i	−1.05706	+	0.610293i
$553$			10.1757i			0.432715i
$554$	36.4656	−	11.8484i	1.54928	−	0.503390i
$555$	11.6389	+	5.18198i	0.494045	+	0.219963i
$556$	−0.567690	+	5.40121i	−0.0240754	+	0.229062i
$557$	−8.07297	+	4.66093i	−0.342063	+	0.197490i	−0.661184	−	0.750224i	$-0.729946\pi$
$557$	−8.07297	+	4.66093i	−0.342063	+	0.197490i	0.319121	+	0.947714i	$0.396612\pi$
$558$	60.1870	−	17.1027i	2.54792	−	0.724013i
$559$	0.912529	−	2.26583i	0.0385959	−	0.0958343i
$560$	4.53350	+	3.29378i	0.191575	+	0.139188i
$561$	31.3102	+	43.0948i	1.32192	+	1.81946i
$562$	34.1028	−	37.8750i	1.43854	−	1.59766i
$563$	−31.3410			−1.32086			−0.660432	−	0.750886i	$-0.729627\pi$
$563$	−31.3410			−1.32086			−0.660432	+	0.750886i	$0.729627\pi$
$564$	−31.5816	−	18.2336i	−1.32983	−	0.767775i
$565$	−0.661532	−	0.595646i	−0.0278309	−	0.0250590i
$566$	31.2857	−	28.1698i	1.31504	−	1.18406i
$567$	−3.31804	−	15.6102i	−0.139345	−	0.655565i
$568$	0.940429	+	0.683262i	0.0394595	+	0.0286690i
$569$	−1.67482	−	0.355994i	−0.0702121	−	0.0149241i	0.172672	−	0.984979i	$-0.444760\pi$
$569$	−1.67482	−	0.355994i	−0.0702121	−	0.0149241i	−0.242884	+	0.970055i	$0.578093\pi$
$570$	−4.64168	+	6.38873i	−0.194419	+	0.267594i
$571$	9.79125	+	4.35935i	0.409751	+	0.182433i	0.601252	−	0.799059i	$-0.294669\pi$
$571$	9.79125	+	4.35935i	0.409751	+	0.182433i	−0.191501	+	0.981492i	$0.561335\pi$
$572$	−9.90091	+	11.8261i	−0.413978	+	0.494473i
$573$	−40.8400	+	29.6720i	−1.70611	+	1.23956i
$574$	−2.67972	+	6.01875i	−0.111849	+	0.251218i
$575$	−12.1284	+	37.3273i	−0.505788	+	1.55665i
$576$	−13.7294	+	9.97502i	−0.572060	+	0.415626i
$577$	−9.17437	−	20.6060i	−0.381934	−	0.857838i	−0.997561	−	0.0698002i	$-0.977764\pi$
$577$	−9.17437	−	20.6060i	−0.381934	−	0.857838i	0.615627	−	0.788038i	$-0.288903\pi$
$578$	−29.7287	+	9.65943i	−1.23655	+	0.401779i
$579$	−6.47265	+	8.90885i	−0.268994	+	0.370239i
$580$	−2.09901	−	9.87507i	−0.0871567	−	0.410040i
$581$	5.11817	+	5.68430i	0.212338	+	0.235825i
$582$	0.391908	+	1.20617i	0.0162451	+	0.0499973i
$583$			26.8981i			1.11401i
$584$	−1.45215	−	2.51519i	−0.0600903	−	0.104079i
$585$	1.07040	−	15.5556i	0.0442557	−	0.643146i
$586$	−1.76428	−	16.7860i	−0.0728819	−	0.693425i
$587$	−11.3389	−	1.19177i	−0.468006	−	0.0491894i	−0.132409	−	0.991195i	$-0.542271\pi$
$587$	−11.3389	−	1.19177i	−0.468006	−	0.0491894i	−0.335597	+	0.942006i	$0.608938\pi$
$588$	9.21495	+	15.9608i	0.380018	+	0.658211i
$589$	−6.19401	−	9.23055i	−0.255220	−	0.380338i
$590$		−	13.2519i		−	0.545572i
$591$	−24.7354	−	55.5567i	−1.01748	−	2.28530i
$592$	11.6898	−	26.2558i	0.480449	−	1.07911i
$593$	32.1712	−	10.4531i	1.32111	−	0.429256i	0.438236	−	0.898860i	$-0.355603\pi$
$593$	32.1712	−	10.4531i	1.32111	−	0.429256i	0.882877	+	0.469604i	$0.155603\pi$
$594$	−52.1096			−2.13808
$595$	−6.75507			−0.276931
$596$	25.3864	−	8.24853i	1.03987	−	0.337873i
$597$	16.6826	−	51.3436i	0.682771	−	2.10135i
$598$	57.2622	+	10.0313i	2.34162	+	0.410211i
$599$	1.30696	−	12.4349i	0.0534009	−	0.508075i	−0.934829	−	0.355098i	$-0.884447\pi$
$599$	1.30696	−	12.4349i	0.0534009	−	0.508075i	0.988230	−	0.152977i	$-0.0488860\pi$
$600$	3.06947	−	14.4407i	0.125311	−	0.589540i
$601$	−8.40447	−	6.10621i	−0.342826	−	0.249077i	0.403028	−	0.915188i	$-0.367958\pi$
$601$	−8.40447	−	6.10621i	−0.342826	−	0.249077i	−0.745853	+	0.666111i	$0.767958\pi$
$602$	1.65176	−	1.20008i	0.0673209	−	0.0489115i
$603$	50.8104	−	45.7499i	2.06916	−	1.86308i
$604$	12.6903	−	1.33380i	0.516360	−	0.0542716i
$605$	−1.26857	+	0.133332i	−0.0515747	+	0.00542072i
$606$	−34.1469	+	30.7460i	−1.38712	+	1.24897i
$607$	27.6410	−	20.0824i	1.12191	−	0.815118i	0.137416	−	0.990513i	$-0.456120\pi$
$607$	27.6410	−	20.0824i	1.12191	−	0.815118i	0.984498	+	0.175396i	$0.0561204\pi$
$608$	10.8922	+	7.91362i	0.441736	+	0.320940i
$609$	10.3059	−	48.4855i	0.417616	−	1.96473i
$610$	−0.123974	+	1.17954i	−0.00501957	+	0.0477580i
$611$	−10.6138	−	29.0607i	−0.429388	−	1.17567i
$612$	15.4443	−	47.5328i	0.624301	−	1.92140i
$613$	−17.8360	+	5.79527i	−0.720390	+	0.234069i	−0.646192	−	0.763175i	$-0.723640\pi$
$613$	−17.8360	+	5.79527i	−0.720390	+	0.234069i	−0.0741978	+	0.997244i	$0.523640\pi$
$614$	−16.1486			−0.651703
$615$	−4.68263			−0.188822
$616$	5.13112	−	1.66720i	0.206739	−	0.0671735i
$617$	13.8201	−	31.0404i	0.556375	−	1.24964i	−0.388271	−	0.921545i	$-0.626927\pi$
$617$	13.8201	−	31.0404i	0.556375	−	1.24964i	0.944645	−	0.328093i	$-0.106406\pi$
$618$	16.8133	+	37.7633i	0.676331	+	1.51906i
$619$		−	43.5267i		−	1.74949i	−0.484588	−	0.874743i	$-0.661030\pi$
$619$		−	43.5267i		−	1.74949i	0.484588	−	0.874743i	$-0.338970\pi$
$620$	4.72368	+	2.96742i	0.189708	+	0.119174i
$621$	40.6060	+	70.3316i	1.62946	+	2.82231i
$622$	−50.4396	−	5.30142i	−2.02245	−	0.212568i
$623$	1.52346	+	14.4947i	0.0610361	+	0.580720i
$624$	−52.3899	−	3.60502i	−2.09728	−	0.144316i
$625$	−8.84026	−	15.3118i	−0.353610	−	0.612471i
$626$		−	3.65904i		−	0.146245i
$627$	5.64218	+	17.3648i	0.225327	+	0.693485i
$628$	7.19985	+	7.99624i	0.287305	+	0.319085i
$629$	7.20325	+	33.8886i	0.287212	+	1.35123i
$630$	7.66048	−	10.5437i	0.305201	−	0.420073i
$631$	−9.75958	+	3.17108i	−0.388523	+	0.126239i	−0.496763	−	0.867886i	$-0.665478\pi$
$631$	−9.75958	+	3.17108i	−0.388523	+	0.126239i	0.108241	+	0.994125i	$0.465478\pi$
$632$	2.76329	+	6.20646i	0.109918	+	0.246880i
$633$	−23.3435	+	16.9601i	−0.927821	+	0.674102i
$634$	−2.18673	+	6.73008i	−0.0868463	+	0.267286i
$635$	5.83599	−	13.1078i	0.231594	−	0.520169i
$636$	30.4823	−	22.1467i	1.20870	−	0.878172i
$637$	−2.69800	+	15.4011i	−0.106899	+	0.610214i
$638$	−51.5727	−	22.9617i	−2.04178	−	0.909061i
$639$	3.81616	−	5.25249i	0.150965	−	0.207785i
$640$	5.79525	+	1.23182i	0.229077	+	0.0486919i
$641$	−13.3701	−	9.71394i	−0.528087	−	0.383678i	0.291555	−	0.956554i	$-0.405827\pi$
$641$	−13.3701	−	9.71394i	−0.528087	−	0.383678i	−0.819642	+	0.572877i	$0.805827\pi$
$642$	−4.16775	−	19.6077i	−0.164488	−	0.773854i
$643$	−28.1256	+	25.3244i	−1.10917	+	0.998698i	−0.109178	+	0.994022i	$0.534822\pi$
$643$	−28.1256	+	25.3244i	−1.10917	+	0.998698i	−0.999989	+	0.00467585i	$0.998512\pi$
$644$	14.9308	+	13.4437i	0.588355	+	0.529757i
$645$	1.25671	+	0.725562i	0.0494829	+	0.0285690i
$646$	−21.4745			−0.844904
$647$	7.21024	−	8.00778i	0.283464	−	0.314818i	−0.584551	−	0.811357i	$-0.698729\pi$
$647$	7.21024	−	8.00778i	0.283464	−	0.314818i	0.868015	+	0.496539i	$0.165396\pi$
$648$	−6.26283	−	8.62005i	−0.246027	−	0.338627i
$649$	−24.7881	−	18.0096i	−0.973019	−	0.706940i
$650$	−23.5631	+	18.4517i	−0.924222	+	0.723735i
$651$	15.2616	+	22.7434i	0.598149	+	0.891385i
$652$	16.7488	−	9.66990i	0.655932	−	0.378702i
$653$	0.575366	−	5.47425i	0.0225158	−	0.214224i	−0.977479	−	0.211032i	$-0.932317\pi$
$653$	0.575366	−	5.47425i	0.0225158	−	0.214224i	0.999995	−	0.00319144i	$-0.00101587\pi$
$654$	49.7454	+	22.1481i	1.94520	+	0.866059i
$655$	0.800378	−	0.260059i	0.0312734	−	0.0101613i
$656$			10.5634i			0.412431i
$657$	−14.0479	+	8.11054i	−0.548060	+	0.316422i
$658$	5.37650	−	25.2944i	0.209598	−	0.986079i
$659$	6.77039	+	7.51928i	0.263737	+	0.292909i	0.860439	−	0.509553i	$-0.170189\pi$
$659$	6.77039	+	7.51928i	0.263737	+	0.292909i	−0.596702	+	0.802463i	$0.703523\pi$
$660$	−6.13101	−	6.80917i	−0.238649	−	0.265047i
$661$	−2.46724	−	5.54151i	−0.0959645	−	0.215540i	0.859184	−	0.511666i	$-0.170972\pi$
$661$	−2.46724	−	5.54151i	−0.0959645	−	0.215540i	−0.955149	+	0.296127i	$0.904305\pi$
$662$	−14.0887	+	15.6471i	−0.547572	+	0.608141i
$663$	53.6471	−	33.6053i	2.08348	−	1.30512i
$664$	4.66534	+	2.07714i	0.181050	+	0.0806088i
$665$	−2.20208	−	0.715499i	−0.0853930	−	0.0277459i
$666$	−61.0642	−	27.1875i	−2.36619	−	1.05350i
$667$	9.19658	+	87.4997i	0.356093	+	3.38800i
$668$	4.21115	−	3.79173i	0.162934	−	0.146707i
$669$	2.34652	+	3.22971i	0.0907218	+	0.124868i
$670$	14.6618	+	1.54101i	0.566434	+	0.0595346i
$671$	2.03788	+	1.83491i	0.0786713	+	0.0708360i
$672$	−26.8375	−	19.4986i	−1.03528	−	0.752175i
$673$	12.9843	+	14.4205i	0.500508	+	0.555870i	0.939468	−	0.342636i	$-0.111320\pi$
$673$	12.9843	+	14.4205i	0.500508	+	0.555870i	−0.438960	+	0.898506i	$0.644653\pi$
$674$	3.92632	+	18.4719i	0.151236	+	0.711510i
$675$	−40.8951	−	8.69252i	−1.57405	−	0.334575i
$676$	13.2131	+	12.7032i	0.508198	+	0.488585i
$677$	21.6460	+	37.4919i	0.831922	+	1.44093i	0.896512	+	0.443018i	$0.146092\pi$
$677$	21.6460	+	37.4919i	0.831922	+	1.44093i	−0.0645910	+	0.997912i	$0.520574\pi$
$678$	5.18170	+	4.66563i	0.199002	+	0.179182i
$679$	−0.300836	+	0.218570i	−0.0115450	+	0.00838795i
$680$	−4.12012	+	1.83439i	−0.157999	+	0.0703458i
$681$			32.3928i			1.24129i
$682$	28.9501	−	11.6161i	1.10856	−	0.444804i
$683$	−27.6156	−	15.9439i	−1.05668	−	0.610076i	−0.132170	−	0.991227i	$-0.542195\pi$
$683$	−27.6156	−	15.9439i	−1.05668	−	0.610076i	−0.924513	+	0.381151i	$0.875528\pi$
$684$	10.0694	−	13.8593i	0.385012	−	0.529924i
$685$	−11.9552	−	5.32279i	−0.456784	−	0.203373i
$686$	−22.8606	+	25.3893i	−0.872821	+	0.969366i
$687$	−32.9277	−	19.0108i	−1.25627	−	0.725307i
$688$	1.63677	−	2.83497i	0.0624012	−	0.108082i
$689$	31.8902	+	2.19440i	1.21492	+	0.0836000i
$690$	−10.6722	+	32.8455i	−0.406282	+	1.25041i
$691$	−9.04927	+	8.14800i	−0.344251	+	0.309965i	−0.823060	−	0.567954i	$-0.807735\pi$
$691$	−9.04927	+	8.14800i	−0.344251	+	0.309965i	0.478810	+	0.877919i	$0.341068\pi$
$692$	9.47455	−	4.21834i	0.360168	−	0.160357i
$693$	−9.31166	−	28.6583i	−0.353721	−	1.08864i
$694$	−0.843977	−	1.89560i	−0.0320369	−	0.0719561i
$695$	−1.60889	−	2.21445i	−0.0610287	−	0.0839988i
$696$	−6.88074	−	32.3714i	−0.260814	−	1.22703i
$697$	−7.48472	−	10.3018i	−0.283504	−	0.390210i
$698$	−0.0623778	−	0.593485i	−0.00236104	−	0.0224638i
$699$	−15.4618	+	47.5866i	−0.584819	+	1.79989i
$700$	−10.2865	+	1.08116i	−0.388795	+	0.0408640i
$701$	32.9775	−	14.6825i	1.24554	−	0.554551i	0.325192	−	0.945648i	$-0.394571\pi$
$701$	32.9775	−	14.6825i	1.24554	−	0.554551i	0.920349	+	0.391097i	$0.127904\pi$
$702$	−4.25120	+	61.7807i	−0.160451	+	2.33176i
$703$	−1.24131	+	11.8103i	−0.0468169	+	0.445433i
$704$	−6.28737	+	5.66118i	−0.236964	+	0.213364i
$705$	17.9779	−	3.82132i	0.677087	−	0.143919i
$706$	34.0549	−	37.8218i	1.28167	−	1.42344i
$707$	−11.6675	−	6.73624i	−0.438802	−	0.253342i
$708$			42.9194i			1.61301i
$709$	2.40898	−	11.3334i	0.0904712	−	0.425634i	−0.909480	−	0.415748i	$-0.863520\pi$
$709$	2.40898	−	11.3334i	0.0904712	−	0.425634i	0.999951	−	0.00988572i	$-0.00314677\pi$
$710$	1.39224	−	0.146331i	0.0522499	−	0.00549169i
$711$	34.6643	−	15.4336i	1.30001	−	0.578804i
$712$	4.86537	+	8.42706i	0.182337	+	0.315817i
$713$	−38.2372	−	30.0217i	−1.43199	−	1.12432i
$714$	52.9117			1.98017
$715$	−0.279914	−	7.76841i	−0.0104682	−	0.290522i
$716$	2.00960	+	19.1200i	0.0751022	+	0.714550i
$717$	48.9959	+	44.1161i	1.82978	+	1.64755i
$718$	−7.92301	+	13.7231i	−0.295684	+	0.512140i
$719$	−4.05306	−	7.02011i	−0.151154	−	0.261806i	0.780498	−	0.625158i	$-0.214965\pi$
$719$	−4.05306	−	7.02011i	−0.151154	−	0.261806i	−0.931652	+	0.363352i	$0.881632\pi$
$720$	4.34453	−	20.4394i	0.161911	−	0.761732i
$721$	−9.00707	+	8.11000i	−0.335441	+	0.302032i
$722$	26.3678	+	8.56741i	0.981306	+	0.318846i
$723$	8.40034	+	0.882911i	0.312412	+	0.0328358i
$724$	−4.32296	−	13.3047i	−0.160662	−	0.494466i
$725$	−36.6434	−	26.6230i	−1.36090	−	0.988754i
$726$	9.93656	−	1.04437i	0.368780	−	0.0387604i
$727$	−3.41552	−	3.79331i	−0.126674	−	0.140686i	0.676471	−	0.736469i	$-0.263508\pi$
$727$	−3.41552	−	3.79331i	−0.126674	−	0.140686i	−0.803145	+	0.595783i	$0.796842\pi$
$728$	−1.55801	−	6.21942i	−0.0577437	−	0.230507i
$729$	19.8996	−	14.4579i	0.737021	−	0.535477i
$730$	−3.32644	−	1.08082i	−0.123117	−	0.0400031i
$731$	0.412483	+	3.92451i	0.0152562	+	0.145153i
$732$	0.401519	−	3.82020i	0.0148406	−	0.141199i
$733$	−17.1440	−	15.4366i	−0.633230	−	0.570163i	0.288748	−	0.957405i	$-0.406761\pi$
$733$	−17.1440	−	15.4366i	−0.633230	−	0.570163i	−0.921978	+	0.387243i	$0.873428\pi$
$734$	34.8715	−	47.9965i	1.28713	−	1.77158i
$735$	−8.83406	−	2.87036i	−0.325849	−	0.105875i
$736$	55.9985	+	18.1950i	2.06413	+	0.670677i
$737$	22.8082	−	25.3310i	0.840150	−	0.933081i
$738$	24.5677			0.904349
$739$	21.4736	+	12.3978i	0.789918	+	0.456059i	0.839934	−	0.542689i	$-0.182594\pi$
$739$	21.4736	+	12.3978i	0.789918	+	0.456059i	−0.0500159	+	0.998748i	$0.515927\pi$
$740$	−1.84156	−	5.66773i	−0.0676970	−	0.208350i
$741$	21.0479	−	5.27265i	0.773213	−	0.193696i
$742$	21.6154	+	15.7045i	0.793528	+	0.576532i
$743$	−32.9317	+	19.0131i	−1.20815	+	0.697524i	−0.962354	−	0.271799i	$-0.912381\pi$
$743$	−32.9317	+	19.0131i	−1.20815	+	0.697524i	−0.245792	+	0.969323i	$0.579048\pi$
$744$	15.4847	+	9.72747i	0.567695	+	0.356626i
$745$	−6.72659	+	11.6508i	−0.246443	+	0.426852i
$746$	20.6667	−	28.4452i	0.756660	−	1.04145i
$747$	11.6013	−	26.0569i	0.424468	−	0.953371i
$748$	5.18044	−	24.3721i	0.189416	−	0.891131i
$749$	5.09006	−	2.93875i	0.185987	−	0.107380i
$750$	−18.7780	−	32.5245i	−0.685676	−	1.18763i
$751$	−10.2887	−	31.6652i	−0.375439	−	1.15548i	−0.943182	−	0.332276i	$-0.892183\pi$
$751$	−10.2887	−	31.6652i	−0.375439	−	1.15548i	0.567744	−	0.823205i	$-0.307817\pi$
$752$	−8.62038	−	40.5557i	−0.314353	−	1.47891i
$753$	32.1275	−	6.82892i	1.17079	−	0.248860i
$754$	−31.4305	+	59.2709i	−1.14463	+	2.15852i
$755$	−4.30327	+	4.77927i	−0.156612	+	0.173935i
$756$	−12.5798	+	17.3146i	−0.457523	+	0.629727i
$757$	−2.69741	−	25.6642i	−0.0980392	−	0.932781i	−0.927401	−	0.374069i	$-0.877962\pi$
$757$	−2.69741	−	25.6642i	−0.0980392	−	0.932781i	0.829362	−	0.558712i	$-0.188704\pi$
$758$	−43.9692	+	9.34594i	−1.59703	+	0.339460i
$759$	46.9349	+	64.6004i	1.70363	+	2.34484i
$760$	−1.53741	+	0.161589i	−0.0557678	+	0.00586144i
$761$	−0.190842	−	0.897841i	−0.00691802	−	0.0325467i	0.974553	−	0.224156i	$-0.0719626\pi$
$761$	−0.190842	−	0.897841i	−0.00691802	−	0.0325467i	−0.981471	+	0.191610i	$0.938629\pi$
$762$	−45.7126	+	102.672i	−1.65599	+	3.71942i
$763$	−1.66889	+	15.8784i	−0.0604179	+	0.574837i
$764$	23.0968	+	4.90938i	0.835614	+	0.177615i
$765$	10.2455	+	23.0117i	0.370425	+	0.831989i
$766$	−49.1004	+	10.4366i	−1.77407	+	0.377090i
$767$	−23.3743	+	27.9193i	−0.843997	+	1.00811i
$768$	−61.8371	−	13.1439i	−2.23136	−	0.474289i
$769$			3.09973i			0.111779i	0.998437	+	0.0558896i	$0.0177995\pi$
$769$			3.09973i			0.111779i	−0.998437	+	0.0558896i	$0.982201\pi$
$770$	3.24869	−	5.62689i	0.117075	−	0.202779i
$771$	71.6083	+	15.2208i	2.57891	+	0.548164i
$772$	5.12269	−	0.538417i	0.184370	−	0.0193780i
$773$	8.48938	+	19.0675i	0.305342	+	0.685809i	0.999419	−	0.0340920i	$-0.0108539\pi$
$773$	8.48938	+	19.0675i	0.305342	+	0.685809i	−0.694077	+	0.719901i	$0.744187\pi$
$774$	−6.59340	−	3.80670i	−0.236995	−	0.136829i
$775$	24.6574	−	4.28698i	0.885720	−	0.153993i
$776$	−0.124134	+	0.215007i	−0.00445616	+	0.00771829i
$777$	3.05850	−	29.0997i	0.109723	−	1.04395i
$778$	23.0436	+	31.7168i	0.826152	+	1.13710i
$779$	−1.34876	−	4.15107i	−0.0483245	−	0.148728i
$780$	−8.57307	+	6.71336i	−0.306965	+	0.240377i
$781$	1.61837	−	2.80310i	0.0579099	−	0.100303i
$782$	−89.3188	+	29.0214i	−3.19403	+	1.03780i
$783$	−91.6734	+	19.4858i	−3.27614	+	0.696365i
$784$	−6.47514	+	19.9284i	−0.231255	+	0.711729i
$785$	−5.39334	−	0.566863i	−0.192497	−	0.0202322i
$786$	−6.26927	+	2.03701i	−0.223617	+	0.0726577i
$787$	−18.6722	−	1.96253i	−0.665592	−	0.0699565i	−0.234294	−	0.972166i	$-0.575278\pi$
$787$	−18.6722	−	1.96253i	−0.665592	−	0.0699565i	−0.431298	+	0.902209i	$0.641944\pi$
$788$	−11.5702	+	25.9870i	−0.412170	+	0.925750i
$789$	−29.5485	+	6.28072i	−1.05195	+	0.223599i
$790$	7.47439	+	3.32781i	0.265927	+	0.118398i
$791$	−0.831539	+	1.86767i	−0.0295661	+	0.0664066i
$792$	−13.4619	−	14.9509i	−0.478346	−	0.531257i
$793$	2.34171	−	2.26639i	0.0831564	−	0.0804819i
$794$	0.451441	−	0.200994i	0.0160210	−	0.00713302i
$795$	−3.94820	+	18.5748i	−0.140028	+	0.658782i
$796$	−23.0691	+	10.2710i	−0.817662	+	0.364047i
$797$	17.0189	−	52.3789i	0.602841	−	1.85535i	0.0918410	−	0.995774i	$-0.470725\pi$
$797$	17.0189	−	52.3789i	0.602841	−	1.85535i	0.511000	−	0.859581i	$-0.329275\pi$
$798$	17.2486	+	5.60442i	0.610595	+	0.198394i
$799$	37.1428	+	33.4435i	1.31402	+	1.18315i
$800$	−26.2511	+	15.1561i	−0.928115	+	0.535847i
$801$	47.0668	−	27.1741i	1.66302	−	0.960148i
$802$	31.5216	+	6.70013i	1.11307	+	0.236590i
$803$	−6.54242	+	4.75334i	−0.230877	+	0.167742i
$804$	−47.4855	−	4.99093i	−1.67469	−	0.176017i
$805$	−10.1260			−0.356896
$806$	−11.4101	−	35.2706i	−0.401905	−	1.24235i
$807$	30.6398			1.07857
$808$	−8.94563	−	0.940224i	−0.314706	−	0.0330770i
$809$	31.8555	−	23.1444i	1.11998	−	0.813712i	0.135773	−	0.990740i	$-0.456648\pi$
$809$	31.8555	−	23.1444i	1.11998	−	0.813712i	0.984206	+	0.177028i	$0.0566482\pi$
$810$	−12.5513	−	2.66786i	−0.441007	−	0.0937390i
$811$	16.8622	−	9.73540i	0.592112	−	0.341856i	−0.173820	−	0.984777i	$-0.555611\pi$
$811$	16.8622	−	9.73540i	0.592112	−	0.341856i	0.765932	+	0.642921i	$0.222278\pi$
$812$	−20.0797	+	11.5930i	−0.704661	+	0.406836i
$813$	55.6306	+	50.0900i	1.95105	+	1.75673i
$814$	−31.6930	−	10.2977i	−1.11084	−	0.360934i
$815$	−3.01207	+	9.27020i	−0.105508	+	0.324721i
$816$	77.5013	−	34.5058i	2.71309	−	1.20794i
$817$	−0.281221	+	1.32304i	−0.00983867	+	0.0462873i
$818$	−48.6278	+	21.6505i	−1.70023	+	0.756992i
$819$	−34.7367	+	8.70181i	−1.21380	+	0.304066i
$820$	1.46562	+	1.62774i	0.0511817	+	0.0568430i
$821$	−7.06527	+	15.8688i	−0.246579	+	0.553827i	−0.993855	−	0.110687i	$-0.964695\pi$
$821$	−7.06527	+	15.8688i	−0.246579	+	0.553827i	0.747276	+	0.664514i	$0.231361\pi$
$822$	93.6435	+	41.6928i	3.26619	+	1.45420i
$823$	13.2714	−	2.82092i	0.462612	−	0.0983311i	0.0292909	−	0.999571i	$-0.490675\pi$
$823$	13.2714	−	2.82092i	0.462612	−	0.0983311i	0.433321	+	0.901240i	$0.357342\pi$
$824$	−3.29134	+	7.39247i	−0.114659	+	0.257529i
$825$	−40.8826	−	4.29693i	−1.42335	−	0.149600i
$826$	−28.9452	+	9.40487i	−1.00713	+	0.327237i
$827$	−27.7816	−	2.91996i	−0.966061	−	0.101537i	−0.391659	−	0.920111i	$-0.628099\pi$
$827$	−27.7816	−	2.91996i	−0.966061	−	0.101537i	−0.574402	+	0.818573i	$0.694765\pi$
$828$	23.1515	−	71.2530i	0.804571	−	2.47621i
$829$	40.5649	−	8.62234i	1.40888	−	0.299466i	0.560192	−	0.828363i	$-0.310727\pi$
$829$	40.5649	−	8.62234i	1.40888	−	0.299466i	0.848686	+	0.528896i	$0.177394\pi$
$830$	5.84913	−	1.90050i	0.203026	−	0.0659673i
$831$	31.2934	−	54.2018i	1.08556	−	1.88024i
$832$	6.19890	+	7.91610i	0.214908	+	0.274441i
$833$	−7.80554	−	24.0230i	−0.270446	−	0.832347i
$834$	12.6022	+	17.3455i	0.436380	+	0.600626i
$835$	−0.298533	+	2.84035i	−0.0103312	+	0.0982945i
$836$	4.27026	−	7.39631i	0.147690	−	0.255807i
$837$	27.5475	−	43.8515i	0.952181	−	1.51573i
$838$	21.8394	+	12.6090i	0.754430	+	0.435570i
$839$	−19.4498	−	43.6850i	−0.671482	−	1.50817i	−0.851413	−	0.524495i	$-0.824254\pi$
$839$	−19.4498	−	43.6850i	−0.671482	−	1.50817i	0.179931	−	0.983679i	$-0.442413\pi$
$840$	3.78808	−	0.398143i	0.130701	−	0.0137372i
$841$	−70.9488	−	15.0806i	−2.44651	−	0.520022i
$842$	−10.4670	+	18.1293i	−0.360716	+	0.624779i
$843$		−	83.1927i		−	2.86531i
$844$	13.2018	+	2.80613i	0.454425	+	0.0965910i
$845$	−9.23298	−	0.301898i	−0.317624	−	0.0103856i
$846$	−94.3220	+	20.0488i	−3.24286	+	0.689291i
$847$	1.19153	+	2.67622i	0.0409415	+	0.0919560i
$848$	41.9023	+	8.90661i	1.43893	+	0.305854i
$849$	7.18312	−	68.3428i	0.246524	−	2.34552i
$850$	19.6651	−	44.1685i	0.674507	−	1.51497i
$851$	10.7979	+	50.8000i	0.370146	+	1.74140i
$852$	−4.50910	+	0.473925i	−0.154479	+	0.0162364i
$853$	−32.5999	−	44.8699i	−1.11620	−	1.53632i	−0.811954	−	0.583721i	$-0.801596\pi$
$853$	−32.5999	−	44.8699i	−1.11620	−	1.53632i	−0.304244	−	0.952594i	$-0.598404\pi$
$854$	2.66436	−	0.566327i	0.0911725	−	0.0193793i
$855$	0.902505	+	8.58676i	0.0308650	+	0.293661i
$856$	2.30654	−	3.17468i	0.0788358	−	0.108508i
$857$	−25.1011	+	27.8776i	−0.857436	+	0.952280i	−0.999293	−	0.0376076i	$-0.988026\pi$
$857$	−25.1011	+	27.8776i	−0.857436	+	0.952280i	0.141856	+	0.989887i	$0.454693\pi$
$858$	2.19254	+	60.8490i	0.0748520	+	2.07735i
$859$	−1.43260	+	0.304508i	−0.0488795	+	0.0103897i	−0.232287	−	0.972647i	$-0.574621\pi$
$859$	−1.43260	+	0.304508i	−0.0488795	+	0.0103897i	0.183407	+	0.983037i	$0.441287\pi$
$860$	−0.141125	−	0.663941i	−0.00481232	−	0.0226402i
$861$	3.32326	+	10.2279i	0.113256	+	0.348567i
$862$	−5.07725	−	8.79406i	−0.172932	−	0.299527i
$863$	28.0902	−	16.2179i	0.956202	−	0.552063i	0.0611997	−	0.998126i	$-0.480507\pi$
$863$	28.0902	−	16.2179i	0.956202	−	0.552063i	0.895002	+	0.446062i	$0.147174\pi$
$864$	−13.0405	+	61.3509i	−0.443648	+	2.08720i
$865$	−2.12605	+	4.77518i	−0.0722877	+	0.162361i
$866$	−13.3426	+	18.3645i	−0.453400	+	0.624051i
$867$	−25.5120	+	44.1882i	−0.866434	+	1.50071i
$868$	3.12913	−	12.4236i	0.106210	−	0.421684i
$869$	16.3826	−	9.45852i	0.555743	−	0.320858i
$870$	−32.2438	−	23.4265i	−1.09317	−	0.794232i
$871$	−28.1715	−	29.1077i	−0.954555	−	0.986277i
$872$	3.29401	+	10.1379i	0.111549	+	0.343313i
$873$	1.20086	+	0.693315i	0.0406428	+	0.0234651i
$874$	−32.1909			−1.08887
$875$	7.36819	−	8.18320i	0.249090	−	0.276643i
$876$	10.7734	+	3.50050i	0.364001	+	0.118271i
$877$	3.92851	+	1.27645i	0.132656	+	0.0431027i	0.374593	−	0.927189i	$-0.377783\pi$
$877$	3.92851	+	1.27645i	0.132656	+	0.0431027i	−0.241936	+	0.970292i	$0.577783\pi$
$878$	−1.04973	+	1.44482i	−0.0354266	+	0.0487605i
$879$	−20.4745	−	18.4353i	−0.690588	−	0.621809i
$880$	1.08893	−	10.3605i	0.0367078	−	0.349251i
$881$	2.53642	+	24.1324i	0.0854541	+	0.813042i	0.950369	+	0.311124i	$0.100705\pi$
$881$	2.53642	+	24.1324i	0.0854541	+	0.813042i	−0.864915	+	0.501918i	$0.832628\pi$
$882$	46.3484	+	15.0595i	1.56063	+	0.507079i
$883$	1.55327	−	1.12852i	0.0522716	−	0.0379776i	−0.561343	−	0.827584i	$-0.689715\pi$
$883$	1.55327	−	1.12852i	0.0522716	−	0.0379776i	0.613614	+	0.789606i	$0.289715\pi$
$884$	−28.4726	−	8.13020i	−0.957638	−	0.273448i
$885$	−14.4742	−	16.0753i	−0.486546	−	0.540364i
$886$	0.892081	−	0.0937615i	0.0299701	−	0.00314998i
$887$	−19.6695	−	14.2907i	−0.660438	−	0.479836i	0.206373	−	0.978473i	$-0.433834\pi$
$887$	−19.6695	−	14.2907i	−0.660438	−	0.479836i	−0.866811	+	0.498637i	$0.833834\pi$
$888$	−6.03679	−	18.5793i	−0.202581	−	0.623482i
$889$	−32.7723	−	3.44451i	−1.09915	−	0.115525i
$890$	11.1451	+	3.62126i	0.373584	+	0.121385i
$891$	−22.0478	+	19.8519i	−0.738629	+	0.665064i
$892$	0.388244	−	1.82655i	0.0129994	−	0.0611573i
$893$	8.56581	+	14.8364i	0.286644	+	0.496482i
$894$	52.6886	−	91.2594i	1.76217	−	3.05217i
$895$	−7.20078	−	6.48361i	−0.240695	−	0.216723i
$896$	−1.42231	−	13.5324i	−0.0475160	−	0.452085i
$897$	80.4186	−	50.3753i	2.68510	−	1.68198i
$898$	29.2105			0.974768
$899$	46.5864	−	31.2611i	1.55374	−	1.04261i
$900$	19.2847	+	33.4021i	0.642824	+	1.11340i
$901$	−47.1756	+	21.0039i	−1.57165	+	0.699743i
$902$	12.1809	−	1.28026i	0.405579	−	0.0426281i
$903$	0.692908	−	3.25988i	0.0230585	−	0.108482i
$904$			1.36496i			0.0453977i
$905$	6.10606	+	3.52533i	0.202972	+	0.117186i
$906$	33.7070	−	37.4355i	1.11984	−	1.24371i
$907$	29.7085	−	6.31475i	0.986456	−	0.209678i	0.313684	−	0.949527i	$-0.398437\pi$
$907$	29.7085	−	6.31475i	0.986456	−	0.209678i	0.672772	+	0.739850i	$0.265103\pi$
$908$	11.2601	−	10.1386i	0.373679	−	0.336462i
$909$	−5.25134	+	49.9632i	−0.174176	+	1.65717i
$910$	−6.40615	−	4.31066i	−0.212362	−	0.142897i
$911$	−11.7411	+	5.22746i	−0.388999	+	0.173193i	−0.591911	−	0.806004i	$-0.701626\pi$
$911$	−11.7411	+	5.22746i	−0.388999	+	0.173193i	0.202912	+	0.979197i	$0.434960\pi$
$912$	28.9194	−	3.03956i	0.957618	−	0.100650i
$913$	4.39415	−	13.5238i	0.145425	−	0.447573i
$914$	2.92040	+	27.7858i	0.0965983	+	0.919071i
$915$	1.13795	+	1.56625i	0.0376193	+	0.0517786i
$916$	3.69768	+	17.3962i	0.122175	+	0.574787i
$917$	−1.13606	−	1.56365i	−0.0375159	−	0.0516361i
$918$	−40.6908	−	91.3931i	−1.34300	−	3.01642i
$919$	8.84605	+	27.2253i	0.291804	+	0.898081i	0.984276	+	0.176636i	$0.0565216\pi$
$919$	8.84605	+	27.2253i	0.291804	+	0.898081i	−0.692472	+	0.721445i	$0.743478\pi$
$920$	−6.17617	+	2.74981i	−0.203622	+	0.0906585i
$921$	−19.5891	+	17.6381i	−0.645482	+	0.581194i
$922$	−18.3079	+	56.3458i	−0.602937	+	1.85565i
$923$	−3.19130	−	2.14741i	−0.105043	−	0.0706827i
$924$	−10.5216	+	18.2240i	−0.346136	+	0.599525i
$925$	−23.1545	−	13.3683i	−0.761317	−	0.439546i
$926$	42.7487	−	47.4772i	1.40481	−	1.56020i
$927$	41.2885	+	18.3828i	1.35609	+	0.603771i
$928$	−39.9399	+	54.9726i	−1.31109	+	1.80456i
$929$	8.81454	+	5.08908i	0.289196	+	0.166967i	0.637579	−	0.770385i	$-0.279936\pi$
$929$	8.81454	+	5.08908i	0.289196	+	0.166967i	−0.348383	+	0.937352i	$0.613269\pi$
$930$	21.6969	−	3.77226i	0.711469	−	0.123697i
$931$		−	8.65800i		−	0.283755i
$932$	21.3810	−	9.51944i	0.700359	−	0.311820i
$933$	−66.9763	+	48.6612i	−2.19271	+	1.59309i
$934$	−39.2859	−	35.3732i	−1.28547	−	1.15745i
$935$	6.27898	+	10.8755i	0.205344	+	0.355667i
$936$	−18.8239	+	14.7405i	−0.615278	+	0.481809i
$937$	−30.1443	−	6.40736i	−0.984770	−	0.209319i	−0.312737	−	0.949840i	$-0.601246\pi$
$937$	−30.1443	−	6.40736i	−0.984770	−	0.209319i	−0.672034	+	0.740521i	$0.734579\pi$
$938$	−7.03952	−	33.1183i	−0.229848	−	1.08135i
$939$	−3.99654	−	4.43861i	−0.130422	−	0.144849i
$940$	−6.95525	−	5.05328i	−0.226855	−	0.164820i
$941$	12.0809	+	10.8777i	0.393825	+	0.354601i	0.842126	−	0.539281i	$-0.181304\pi$
$941$	12.0809	+	10.8777i	0.393825	+	0.354601i	−0.448301	+	0.893883i	$0.647971\pi$
$942$	42.2454	+	4.44017i	1.37643	+	0.144669i
$943$	−11.2198	−	15.4427i	−0.365367	−	0.502885i
$944$	−36.2636	+	32.6519i	−1.18028	+	1.06273i
$945$	−1.12751	−	10.7276i	−0.0366780	−	0.348968i
$946$	−3.46744	−	1.54381i	−0.112736	−	0.0501935i
$947$	25.1011	+	8.15583i	0.815675	+	0.265029i	0.687000	−	0.726658i	$-0.258927\pi$
$947$	25.1011	+	8.15583i	0.815675	+	0.265029i	0.128676	+	0.991687i	$0.458927\pi$
$948$	−24.2076	−	10.7779i	−0.786225	−	0.350050i
$949$	5.10177	+	8.14441i	0.165611	+	0.264379i
$950$	11.0890	−	12.3155i	0.359773	−	0.399569i
$951$	4.69822	+	10.5524i	0.152350	+	0.342184i
$952$	6.93078	+	7.69741i	0.224628	+	0.249474i
$953$	26.4923	+	29.4227i	0.858170	+	0.953094i	0.999319	−	0.0368939i	$-0.0117463\pi$
$953$	26.4923	+	29.4227i	0.858170	+	0.953094i	−0.141149	+	0.989988i	$0.545080\pi$
$954$	20.7145	−	97.4539i	0.670655	−	3.15519i
$955$	−10.3065	+	5.95044i	−0.333509	+	0.192552i
$956$		−	30.8394i		−	0.997419i
$957$	−87.6400	+	28.4760i	−2.83300	+	0.920497i
$958$	−52.7982	−	23.5073i	−1.70583	−	0.759486i
$959$	−3.14161	+	29.8904i	−0.101448	+	0.965212i
$960$	−5.17279	+	2.98651i	−0.166951	+	0.0963893i
$961$	−5.52908	+	30.5029i	−0.178358	+	0.983966i
$962$	−14.7944	+	36.7348i	−0.476991	+	1.18438i
$963$	−17.7312	−	12.8825i	−0.571380	−	0.415132i
$964$	−2.32232	−	3.19639i	−0.0747968	−	0.102949i
$965$	−1.73711	+	1.92925i	−0.0559194	+	0.0621048i
$966$	79.3161			2.55196
$967$	13.5934	+	7.84815i	0.437134	+	0.252379i	0.702381	−	0.711801i	$-0.252120\pi$
$967$	13.5934	+	7.84815i	0.437134	+	0.252379i	−0.265247	+	0.964180i	$0.585454\pi$
$968$	1.45350	+	1.30874i	0.0467172	+	0.0420644i
$969$	−26.0497	+	23.4553i	−0.836838	+	0.753492i
$970$	0.0621630	+	0.292454i	0.00199594	+	0.00939014i
$971$	−15.0599	−	10.9416i	−0.483294	−	0.351133i	0.319306	−	0.947652i	$-0.396550\pi$
$971$	−15.0599	−	10.9416i	−0.483294	−	0.351133i	−0.802599	+	0.596518i	$0.796550\pi$
$972$	2.16817	+	0.460859i	0.0695441	+	0.0147821i
$973$	−3.69503	+	5.08577i	−0.118457	+	0.163042i
$974$	−7.70900	−	3.43227i	−0.247012	−	0.109977i
$975$	−8.42968	+	48.1194i	−0.269966	+	1.54105i
$976$	3.53324	−	2.56705i	0.113096	−	0.0821692i
$977$	−0.155882	+	0.350117i	−0.00498711	+	0.0112012i	−0.916022	−	0.401128i	$-0.868618\pi$
$977$	−0.155882	+	0.350117i	−0.00498711	+	0.0112012i	0.911035	+	0.412330i	$0.135285\pi$
$978$	23.5932	−	72.6124i	0.754428	−	2.32189i
$979$	21.9201	−	15.9259i	0.700570	−	0.508994i
$980$	1.76721	+	3.96921i	0.0564514	+	0.126792i
$981$	56.6223	−	18.3977i	1.80781	−	0.587393i
$982$	14.6575	−	20.1743i	0.467738	−	0.643786i
$983$	−5.31944	−	25.0260i	−0.169664	−	0.798205i	−0.977855	−	0.209285i	$-0.932886\pi$
$983$	−5.31944	−	25.0260i	−0.169664	−	0.798205i	0.808191	−	0.588920i	$-0.200447\pi$
$984$	4.80443	+	5.33586i	0.153160	+	0.170101i
$985$	−4.43037	−	13.6353i	−0.141163	−	0.434456i
$986$		−	108.382i		−	3.45157i
$987$	−21.1055	−	36.5559i	−0.671797	−	1.16359i
$988$	−8.42062	−	5.66619i	−0.267895	−	0.180265i
$989$	0.618324	+	5.88296i	0.0196616	+	0.187067i
$990$	−24.0958	−	2.53257i	−0.765813	−	0.0804902i
$991$	−14.2685	−	24.7137i	−0.453253	−	0.785058i	0.545333	−	0.838220i	$-0.316403\pi$
$991$	−14.2685	−	24.7137i	−0.453253	−	0.785058i	−0.998586	+	0.0531621i	$0.983070\pi$
$992$	−6.43133	−	36.9911i	−0.204195	−	1.17447i
$993$			34.3689i			1.09066i
$994$	−1.30769	−	2.93713i	−0.0414775	−	0.0931600i
$995$	5.17660	−	11.6268i	0.164109	−	0.368596i
$996$	−18.9438	+	6.15521i	−0.600256	+	0.195035i
$997$	−50.6637			−1.60453			−0.802267	−	0.596965i	$-0.796373\pi$
$997$	−50.6637			−1.60453			−0.802267	+	0.596965i	$0.796373\pi$
$998$	17.2761			0.546867
$999$	−52.6153	+	17.0958i	−1.66468	+	0.540886i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	403.2.bp.a.10.9	✓	280
13.4	even	6		403.2.bt.a.134.9	yes	280
31.28	even	15		403.2.bt.a.400.9	yes	280
403.121	even	30	inner	403.2.bp.a.121.9	yes	280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
403.2.bp.a.10.9	✓	280	1.1	even	1	trivial
403.2.bp.a.121.9	yes	280	403.121	even	30	inner
403.2.bt.a.134.9	yes	280	13.4	even	6
403.2.bt.a.400.9	yes	280	31.28	even	15

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:	\( N \)	\(=\)	\( 403 = 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	403.bp (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.83649 - 0.193022i) q^{2} +(-2.43858 + 1.77173i) q^{3} +(1.37913 + 0.293142i) q^{4} +(-0.615405 + 0.355305i) q^{5} +(4.82040 - 2.78306i) q^{6} +(1.21282 + 1.09203i) q^{7} +(1.03628 + 0.336709i) q^{8} +(1.88059 - 5.78785i) q^{9} +O(q^{10})\)	\(q+(-1.83649 - 0.193022i) q^{2} +(-2.43858 + 1.77173i) q^{3} +(1.37913 + 0.293142i) q^{4} +(-0.615405 + 0.355305i) q^{5} +(4.82040 - 2.78306i) q^{6} +(1.21282 + 1.09203i) q^{7} +(1.03628 + 0.336709i) q^{8} +(1.88059 - 5.78785i) q^{9} +(1.19876 - 0.533725i) q^{10} +(0.630798 - 2.96767i) q^{11} +(-3.88248 + 1.72859i) q^{12} +(-3.46698 - 0.989976i) q^{13} +(-2.01654 - 2.23959i) q^{14} +(0.871211 - 1.95677i) q^{15} +(-4.41421 - 1.96533i) q^{16} +(5.69746 - 1.21103i) q^{17} +(-4.57085 + 10.2663i) q^{18} +(1.98558 + 0.208693i) q^{19} +(-0.952876 + 0.309608i) q^{20} +(-4.89233 - 0.514205i) q^{21} +(-1.73128 + 5.32833i) q^{22} +(8.54065 - 1.81537i) q^{23} +(-3.12361 + 1.01492i) q^{24} +(-2.24752 + 3.89281i) q^{25} +(6.17597 + 2.48728i) q^{26} +(2.87419 + 8.84586i) q^{27} +(1.35251 + 1.86157i) q^{28} +(-1.05327 + 10.0212i) q^{29} +(-1.97767 + 3.42542i) q^{30} +(-3.56868 - 4.27370i) q^{31} +(5.84001 + 3.37173i) q^{32} +(3.71967 + 8.35451i) q^{33} +(-10.6971 + 1.12431i) q^{34} +(-1.13438 - 0.241119i) q^{35} +(4.29023 - 7.43089i) q^{36} +5.94802i q^{37} +(-3.60621 - 0.766524i) q^{38} +(10.2085 - 3.72842i) q^{39} +(-0.757368 + 0.160984i) q^{40} +(-0.889188 - 1.99715i) q^{41} +(8.88545 + 1.88866i) q^{42} +(-0.0708157 + 0.673766i) q^{43} +(1.73990 - 3.90788i) q^{44} +(0.899126 + 4.23005i) q^{45} +(-16.0352 + 1.68537i) q^{46} +(5.04363 + 6.94196i) q^{47} +(14.2464 - 3.02817i) q^{48} +(-0.453293 - 4.31279i) q^{49} +(4.87893 - 6.71528i) q^{50} +(-11.7481 + 13.0476i) q^{51} +(-4.49120 - 2.38162i) q^{52} +(-8.67192 + 1.84327i) q^{53} +(-3.57096 - 16.8001i) q^{54} +(0.666231 + 2.05045i) q^{55} +(0.889128 + 1.54002i) q^{56} +(-5.21175 + 3.00900i) q^{57} +(3.86863 - 18.2005i) q^{58} +(4.10760 - 9.22582i) q^{59} +(1.77512 - 2.44325i) q^{60} +(-0.451921 + 0.782751i) q^{61} +(5.72890 + 8.53743i) q^{62} +(8.60130 - 4.96596i) q^{63} +(-2.25601 - 1.63909i) q^{64} +(2.48534 - 0.622597i) q^{65} +(-5.21851 - 16.0609i) q^{66} +(9.72969 + 5.61744i) q^{67} +8.21252 q^{68} +(-17.6107 + 19.5587i) q^{69} +(2.03673 + 0.661773i) q^{70} +(1.01462 + 0.329670i) q^{71} +(3.89764 - 5.36464i) q^{72} +(-1.98081 - 1.78353i) q^{73} +(1.14810 - 10.9235i) q^{74} +(-1.41627 - 13.4749i) q^{75} +(2.67719 + 0.869872i) q^{76} +(4.00582 - 2.91040i) q^{77} +(-19.4674 + 4.87673i) q^{78} +(4.17208 + 4.63357i) q^{79} +(3.41482 - 0.358912i) q^{80} +(-7.91112 - 5.74776i) q^{81} +(1.24749 + 3.83937i) q^{82} +(4.66118 + 0.489910i) q^{83} +(-6.59641 - 2.14330i) q^{84} +(-3.07596 + 2.76961i) q^{85} +(0.260104 - 1.22369i) q^{86} +(-15.1864 - 26.3036i) q^{87} +(1.65293 - 2.86295i) q^{88} +(6.63662 + 5.97564i) q^{89} +(-0.834736 - 7.94198i) q^{90} +(-3.12374 - 4.98670i) q^{91} +12.3108 q^{92} +(16.2744 + 4.09903i) q^{93} +(-7.92260 - 13.7224i) q^{94} +(-1.29609 + 0.577056i) q^{95} +(-20.2151 + 2.12470i) q^{96} +(-0.0473727 + 0.222871i) q^{97} +8.00787i q^{98} +(-15.9902 - 9.23192i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 280 q - 9 q^{2} - 9 q^{3} - 35 q^{4} - 21 q^{6} - 3 q^{7} - 45 q^{8} - 63 q^{9}+O(q^{10}) \) 280 * q - 9 * q^2 - 9 * q^3 - 35 * q^4 - 21 * q^6 - 3 * q^7 - 45 * q^8 - 63 * q^9	\( 280 q - 9 q^{2} - 9 q^{3} - 35 q^{4} - 21 q^{6} - 3 q^{7} - 45 q^{8} - 63 q^{9} - 24 q^{10} - 9 q^{11} - 8 q^{12} - 6 q^{13} + 4 q^{14} + 23 q^{16} - 21 q^{17} - 45 q^{18} - 27 q^{19} - 75 q^{20} + 76 q^{21} - 22 q^{22} - 10 q^{23} - 15 q^{24} + 96 q^{25} - 15 q^{26} - 24 q^{27} + 5 q^{28} + 13 q^{29} + 36 q^{30} - 2 q^{31} - 141 q^{32} - 3 q^{33} + 9 q^{34} + 32 q^{35} + 97 q^{36} - 49 q^{38} + 15 q^{39} - 75 q^{40} - 33 q^{41} - 16 q^{42} + 21 q^{43} - 18 q^{44} - 27 q^{45} + 51 q^{46} - 68 q^{48} - 24 q^{49} + 90 q^{50} + 47 q^{51} + 73 q^{52} + 12 q^{53} - 33 q^{54} - 65 q^{55} + 25 q^{56} + 105 q^{57} - 3 q^{58} + 12 q^{59} - 90 q^{60} - 57 q^{61} + 12 q^{62} + 201 q^{63} + 13 q^{64} + 11 q^{65} + 22 q^{66} - 45 q^{67} + 142 q^{68} - 139 q^{69} - 15 q^{71} - 15 q^{72} - 9 q^{73} + 4 q^{74} - 75 q^{75} - 80 q^{76} - 24 q^{77} - 104 q^{78} + 54 q^{79} - 21 q^{80} - 107 q^{81} + 43 q^{82} - 54 q^{83} - 15 q^{84} - 117 q^{85} - 84 q^{86} - 21 q^{87} + 49 q^{88} - 9 q^{89} + 11 q^{90} - 10 q^{91} + 266 q^{92} - 22 q^{93} + 33 q^{94} + 75 q^{95} - 204 q^{96} - 10 q^{97} + 168 q^{99}+O(q^{100}) \) 280 * q - 9 * q^2 - 9 * q^3 - 35 * q^4 - 21 * q^6 - 3 * q^7 - 45 * q^8 - 63 * q^9 - 24 * q^10 - 9 * q^11 - 8 * q^12 - 6 * q^13 + 4 * q^14 + 23 * q^16 - 21 * q^17 - 45 * q^18 - 27 * q^19 - 75 * q^20 + 76 * q^21 - 22 * q^22 - 10 * q^23 - 15 * q^24 + 96 * q^25 - 15 * q^26 - 24 * q^27 + 5 * q^28 + 13 * q^29 + 36 * q^30 - 2 * q^31 - 141 * q^32 - 3 * q^33 + 9 * q^34 + 32 * q^35 + 97 * q^36 - 49 * q^38 + 15 * q^39 - 75 * q^40 - 33 * q^41 - 16 * q^42 + 21 * q^43 - 18 * q^44 - 27 * q^45 + 51 * q^46 - 68 * q^48 - 24 * q^49 + 90 * q^50 + 47 * q^51 + 73 * q^52 + 12 * q^53 - 33 * q^54 - 65 * q^55 + 25 * q^56 + 105 * q^57 - 3 * q^58 + 12 * q^59 - 90 * q^60 - 57 * q^61 + 12 * q^62 + 201 * q^63 + 13 * q^64 + 11 * q^65 + 22 * q^66 - 45 * q^67 + 142 * q^68 - 139 * q^69 - 15 * q^71 - 15 * q^72 - 9 * q^73 + 4 * q^74 - 75 * q^75 - 80 * q^76 - 24 * q^77 - 104 * q^78 + 54 * q^79 - 21 * q^80 - 107 * q^81 + 43 * q^82 - 54 * q^83 - 15 * q^84 - 117 * q^85 - 84 * q^86 - 21 * q^87 + 49 * q^88 - 9 * q^89 + 11 * q^90 - 10 * q^91 + 266 * q^92 - 22 * q^93 + 33 * q^94 + 75 * q^95 - 204 * q^96 - 10 * q^97 + 168 * q^99

Introduction

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