LMFDB - Embedded newform 525.2.bo.a.4.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(4,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([0, 3, 20]))

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

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

chi := DirichletCharacter("525.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.bo (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:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$40$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			4.16
Character	$\chi$	$=$	525.4
Dual form			525.2.bo.a.394.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.156432 - 0.735953i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(1.30993 - 0.583221i) q^{4} +(-0.658939 - 2.13677i) q^{5} +(-0.608700 + 0.442247i) q^{6} +(2.62185 - 0.354813i) q^{7} +(-1.51863 - 2.09022i) q^{8} +(-0.669131 + 0.743145i) q^{9} +O(q^{10})$	\(q+(-0.156432 - 0.735953i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(1.30993 - 0.583221i) q^{4} +(-0.658939 - 2.13677i) q^{5} +(-0.608700 + 0.442247i) q^{6} +(2.62185 - 0.354813i) q^{7} +(-1.51863 - 2.09022i) q^{8} +(-0.669131 + 0.743145i) q^{9} +(-1.46949 + 0.819207i) q^{10} +(-2.22256 - 2.46841i) q^{11} +(-1.06560 - 0.959468i) q^{12} +(-4.48705 + 1.45793i) q^{13} +(-0.671266 - 1.87406i) q^{14} +(-1.68402 + 1.47107i) q^{15} +(0.618196 - 0.686576i) q^{16} +(5.39972 - 0.567533i) q^{17} +(0.651593 + 0.376197i) q^{18} +(4.49939 + 2.00326i) q^{19} +(-2.10938 - 2.41473i) q^{20} +(-1.39054 - 2.25087i) q^{21} +(-1.46895 + 2.02184i) q^{22} +(-0.253016 - 1.19035i) q^{23} +(-1.29183 + 2.23751i) q^{24} +(-4.13160 + 2.81601i) q^{25} +(1.77489 + 3.07419i) q^{26} +(0.951057 + 0.309017i) q^{27} +(3.22752 - 1.99390i) q^{28} +(0.532803 + 0.387104i) q^{29} +(1.34608 + 1.00924i) q^{30} +(0.934177 + 8.88810i) q^{31} +(-5.07701 - 2.93121i) q^{32} +(-1.35100 + 3.03440i) q^{33} +(-1.26236 - 3.88516i) q^{34} +(-2.48580 - 5.36850i) q^{35} +(-0.443100 + 1.36372i) q^{36} +(-7.87746 - 7.09290i) q^{37} +(0.770457 - 3.62471i) q^{38} +(3.15693 + 3.50613i) q^{39} +(-3.46563 + 4.62230i) q^{40} +(1.30385 + 4.01285i) q^{41} +(-1.43901 + 1.37548i) q^{42} -11.6177i q^{43} +(-4.35104 - 1.93721i) q^{44} +(2.02885 + 0.940093i) q^{45} +(-0.836459 + 0.372416i) q^{46} +(-8.44114 - 0.887199i) q^{47} +(-0.878661 - 0.285494i) q^{48} +(6.74822 - 1.86053i) q^{49} +(2.71876 + 2.60015i) q^{50} +(-2.71473 - 4.70205i) q^{51} +(-5.02745 + 4.52673i) q^{52} +(2.48350 + 5.57804i) q^{53} +(0.0786467 - 0.748273i) q^{54} +(-3.80989 + 6.37564i) q^{55} +(-4.72326 - 4.94141i) q^{56} -4.92520i q^{57} +(0.201543 - 0.452673i) q^{58} +(5.46711 + 1.16207i) q^{59} +(-1.34800 + 2.90917i) q^{60} +(0.371121 - 0.0788841i) q^{61} +(6.39509 - 2.07789i) q^{62} +(-1.49068 + 2.18583i) q^{63} +(-0.792041 + 2.43765i) q^{64} +(6.07196 + 8.62712i) q^{65} +(2.44452 + 0.519599i) q^{66} +(13.2664 - 1.39436i) q^{67} +(6.74228 - 3.89266i) q^{68} +(-0.984524 + 0.715299i) q^{69} +(-3.56211 + 2.66923i) q^{70} +(-1.11412 - 0.809456i) q^{71} +(2.56950 + 0.270065i) q^{72} +(7.46721 - 6.72351i) q^{73} +(-3.98776 + 6.90700i) q^{74} +(4.25302 + 2.62903i) q^{75} +7.06225 q^{76} +(-6.70306 - 5.68320i) q^{77} +(2.08650 - 2.87183i) q^{78} +(-0.639533 + 6.08475i) q^{79} +(-1.87441 - 0.868532i) q^{80} +(-0.104528 - 0.994522i) q^{81} +(2.74930 - 1.58731i) q^{82} +(1.39962 + 1.92641i) q^{83} +(-3.13427 - 2.13749i) q^{84} +(-4.77077 - 11.1640i) q^{85} +(-8.55009 + 1.81738i) q^{86} +(0.136927 - 0.644189i) q^{87} +(-1.78425 + 8.39424i) q^{88} +(1.78396 - 0.379193i) q^{89} +(0.374488 - 1.64020i) q^{90} +(-11.2471 + 5.41454i) q^{91} +(-1.02567 - 1.41171i) q^{92} +(7.73972 - 4.46853i) q^{93} +(0.667524 + 6.35107i) q^{94} +(1.31568 - 10.9342i) q^{95} +(-0.612790 + 5.83031i) q^{96} +(-4.26619 + 5.87191i) q^{97} +(-2.42490 - 4.67532i) q^{98} +3.32157 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) $ 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9	$ 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) $ 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9 + 4 * q^10 - 6 * q^11 + 12 * q^14 + 4 * q^15 + 40 * q^16 - 20 * q^17 + 16 * q^19 + 8 * q^20 + 40 * q^22 - 60 * q^23 - 48 * q^24 + 4 * q^25 - 30 * q^28 + 24 * q^29 - 48 * q^30 - 30 * q^31 - 80 * q^36 + 30 * q^38 - 32 * q^40 + 36 * q^41 + 10 * q^42 - 16 * q^44 + 2 * q^45 + 32 * q^46 + 16 * q^49 - 140 * q^50 + 190 * q^52 - 60 * q^53 + 4 * q^54 - 8 * q^55 + 60 * q^58 + 24 * q^59 - 46 * q^60 - 20 * q^61 + 120 * q^62 + 10 * q^63 - 4 * q^64 - 30 * q^65 - 16 * q^66 - 60 * q^67 - 32 * q^69 - 76 * q^70 + 32 * q^71 - 30 * q^72 - 40 * q^73 - 12 * q^74 - 8 * q^75 - 344 * q^76 + 4 * q^79 - 52 * q^80 + 40 * q^81 - 80 * q^83 + 48 * q^84 - 76 * q^85 + 24 * q^86 - 200 * q^88 - 52 * q^90 + 26 * q^91 + 180 * q^92 + 16 * q^94 - 38 * q^95 - 58 * q^96 - 140 * q^97 + 360 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−0.156432	−	0.735953i	−0.110614	−	0.520397i	−0.998212	−	0.0597781i	$-0.980961\pi$
$2$	−0.156432	−	0.735953i	−0.110614	−	0.520397i	0.887598	−	0.460619i	$-0.152373\pi$
$3$	−0.406737	−	0.913545i	−0.234830	−	0.527436i
$3$	−0.406737	−	0.913545i	−0.234830	−	0.527436i
$4$	1.30993	−	0.583221i	0.654967	−	0.291610i
$5$	−0.658939	−	2.13677i	−0.294687	−	0.955594i
$5$	−0.658939	−	2.13677i	−0.294687	−	0.955594i
$6$	−0.608700	+	0.442247i	−0.248501	+	0.180546i
$7$	2.62185	−	0.354813i	0.990967	−	0.134107i
$7$	2.62185	−	0.354813i	0.990967	−	0.134107i
$8$	−1.51863	−	2.09022i	−0.536917	−	0.739003i
$9$	−0.669131	+	0.743145i	−0.223044	+	0.247715i
$10$	−1.46949	+	0.819207i	−0.464692	+	0.259056i
$11$	−2.22256	−	2.46841i	−0.670128	−	0.744253i	0.308198	−	0.951322i	$-0.400274\pi$
$11$	−2.22256	−	2.46841i	−0.670128	−	0.744253i	−0.978326	+	0.207069i	$0.933607\pi$
$12$	−1.06560	−	0.959468i	−0.307611	−	0.276974i
$13$	−4.48705	+	1.45793i	−1.24448	+	0.404357i	−0.855941	−	0.517073i	$-0.827021\pi$
$13$	−4.48705	+	1.45793i	−1.24448	+	0.404357i	−0.388543	+	0.921431i	$0.627021\pi$
$14$	−0.671266	−	1.87406i	−0.179403	−	0.500863i
$15$	−1.68402	+	1.47107i	−0.434813	+	0.379830i
$16$	0.618196	−	0.686576i	0.154549	−	0.171644i
$17$	5.39972	−	0.567533i	1.30962	−	0.137647i	0.576138	−	0.817352i	$-0.304559\pi$
$17$	5.39972	−	0.567533i	1.30962	−	0.137647i	0.733485	+	0.679705i	$0.237892\pi$
$18$	0.651593	+	0.376197i	0.153582	+	0.0886706i
$19$	4.49939	+	2.00326i	1.03223	+	0.459579i	0.851722	−	0.523994i	$-0.175559\pi$
$19$	4.49939	+	2.00326i	1.03223	+	0.459579i	0.180509	+	0.983573i	$0.442225\pi$
$20$	−2.10938	−	2.41473i	−0.471671	−	0.539949i
$21$	−1.39054	−	2.25087i	−0.303441	−	0.491179i
$22$	−1.46895	+	2.02184i	−0.313182	+	0.431058i
$23$	−0.253016	−	1.19035i	−0.0527574	−	0.248204i	0.943864	−	0.330334i	$-0.107161\pi$
$23$	−0.253016	−	1.19035i	−0.0527574	−	0.248204i	−0.996622	+	0.0821294i	$0.973828\pi$
$24$	−1.29183	+	2.23751i	−0.263693	+	0.456729i
$25$	−4.13160	+	2.81601i	−0.826320	+	0.563201i
$26$	1.77489	+	3.07419i	0.348084	+	0.602899i
$27$	0.951057	+	0.309017i	0.183031	+	0.0594703i
$28$	3.22752	−	1.99390i	0.609944	−	0.376812i
$29$	0.532803	+	0.387104i	0.0989390	+	0.0718834i	0.636155	−	0.771561i	$-0.280524\pi$
$29$	0.532803	+	0.387104i	0.0989390	+	0.0718834i	−0.537216	+	0.843445i	$0.680524\pi$
$30$	1.34608	+	1.00924i	0.245759	+	0.184261i
$31$	0.934177	+	8.88810i	0.167783	+	1.59635i	0.677179	+	0.735818i	$0.263202\pi$
$31$	0.934177	+	8.88810i	0.167783	+	1.59635i	−0.509396	+	0.860532i	$0.670131\pi$
$32$	−5.07701	−	2.93121i	−0.897496	−	0.518170i
$33$	−1.35100	+	3.03440i	−0.235180	+	0.528222i
$34$	−1.26236	−	3.88516i	−0.216494	−	0.666299i
$35$	−2.48580	−	5.36850i	−0.420176	−	0.907443i
$36$	−0.443100	+	1.36372i	−0.0738500	+	0.227287i
$37$	−7.87746	−	7.09290i	−1.29505	−	1.16607i	−0.975866	−	0.218371i	$-0.929926\pi$
$37$	−7.87746	−	7.09290i	−1.29505	−	1.16607i	−0.319181	−	0.947694i	$-0.603408\pi$
$38$	0.770457	−	3.62471i	0.124985	−	0.588006i
$39$	3.15693	+	3.50613i	0.505514	+	0.561430i
$40$	−3.46563	+	4.62230i	−0.547965	+	0.730849i
$41$	1.30385	+	4.01285i	0.203628	+	0.626701i	0.999767	+	0.0215879i	$0.00687218\pi$
$41$	1.30385	+	4.01285i	0.203628	+	0.626701i	−0.796139	+	0.605113i	$0.793128\pi$
$42$	−1.43901	+	1.37548i	−0.222044	+	0.212241i
$43$		−	11.6177i		−	1.77168i	−0.463987	−	0.885842i	$-0.653582\pi$
$43$		−	11.6177i		−	1.77168i	0.463987	−	0.885842i	$-0.346418\pi$
$44$	−4.35104	−	1.93721i	−0.655944	−	0.292045i
$45$	2.02885	+	0.940093i	0.302443	+	0.140141i
$46$	−0.836459	+	0.372416i	−0.123329	+	0.0549097i
$47$	−8.44114	−	0.887199i	−1.23127	−	0.129411i	−0.533539	−	0.845775i	$-0.679138\pi$
$47$	−8.44114	−	0.887199i	−1.23127	−	0.129411i	−0.697727	+	0.716364i	$0.745805\pi$
$48$	−0.878661	−	0.285494i	−0.126824	−	0.0412076i
$49$	6.74822	−	1.86053i	0.964031	−	0.265791i
$50$	2.71876	+	2.60015i	0.384491	+	0.367717i
$51$	−2.71473	−	4.70205i	−0.380138	−	0.658419i
$52$	−5.02745	+	4.52673i	−0.697181	+	0.627745i
$53$	2.48350	+	5.57804i	0.341136	+	0.766203i	0.999904	+	0.0138572i	$0.00441103\pi$
$53$	2.48350	+	5.57804i	0.341136	+	0.766203i	−0.658768	+	0.752346i	$0.728922\pi$
$54$	0.0786467	−	0.748273i	0.0107025	−	0.101827i
$55$	−3.80989	+	6.37564i	−0.513726	+	0.859692i
$56$	−4.72326	−	4.94141i	−0.631173	−	0.660324i
$57$		−	4.92520i		−	0.652358i
$58$	0.201543	−	0.452673i	0.0264639	−	0.0594389i
$59$	5.46711	+	1.16207i	0.711757	+	0.151289i	0.549541	−	0.835467i	$-0.314803\pi$
$59$	5.46711	+	1.16207i	0.711757	+	0.151289i	0.162216	+	0.986755i	$0.448136\pi$
$60$	−1.34800	+	2.90917i	−0.174026	+	0.375572i
$61$	0.371121	−	0.0788841i	0.0475171	−	0.0101001i	−0.184092	−	0.982909i	$-0.558934\pi$
$61$	0.371121	−	0.0788841i	0.0475171	−	0.0101001i	0.231609	+	0.972809i	$0.425601\pi$
$62$	6.39509	−	2.07789i	0.812178	−	0.263893i
$63$	−1.49068	+	2.18583i	−0.187809	+	0.275389i
$64$	−0.792041	+	2.43765i	−0.0990051	+	0.304706i
$65$	6.07196	+	8.62712i	0.753134	+	1.07006i
$66$	2.44452	+	0.519599i	0.300900	+	0.0639582i
$67$	13.2664	−	1.39436i	1.62075	−	0.170348i	0.749784	−	0.661683i	$-0.230158\pi$
$67$	13.2664	−	1.39436i	1.62075	−	0.170348i	0.870971	+	0.491335i	$0.163491\pi$
$68$	6.74228	−	3.89266i	0.817621	−	0.472054i
$69$	−0.984524	+	0.715299i	−0.118523	+	0.0861118i
$70$	−3.56211	+	2.66923i	−0.425754	+	0.319034i
$71$	−1.11412	−	0.809456i	−0.132222	−	0.0960648i	0.519709	−	0.854344i	$-0.326041\pi$
$71$	−1.11412	−	0.809456i	−0.132222	−	0.0960648i	−0.651930	+	0.758279i	$0.726041\pi$
$72$	2.56950	+	0.270065i	0.302818	+	0.0318275i
$73$	7.46721	−	6.72351i	0.873971	−	0.786927i	−0.104237	−	0.994552i	$-0.533240\pi$
$73$	7.46721	−	6.72351i	0.873971	−	0.786927i	0.978208	+	0.207625i	$0.0665735\pi$
$74$	−3.98776	+	6.90700i	−0.463567	+	0.802922i
$75$	4.25302	+	2.62903i	0.491097	+	0.303574i
$76$	7.06225			0.810096
$77$	−6.70306	−	5.68320i	−0.763884	−	0.647661i
$78$	2.08650	−	2.87183i	0.236250	−	0.325170i
$79$	−0.639533	+	6.08475i	−0.0719531	+	0.684588i	0.897784	+	0.440436i	$0.145176\pi$
$79$	−0.639533	+	6.08475i	−0.0719531	+	0.684588i	−0.969737	+	0.244152i	$0.921491\pi$
$80$	−1.87441	−	0.868532i	−0.209565	−	0.0971049i
$81$	−0.104528	−	0.994522i	−0.0116143	−	0.110502i
$82$	2.74930	−	1.58731i	0.303610	−	0.175289i
$83$	1.39962	+	1.92641i	0.153628	+	0.211451i	0.878893	−	0.477019i	$-0.158283\pi$
$83$	1.39962	+	1.92641i	0.153628	+	0.211451i	−0.725265	+	0.688470i	$0.758283\pi$
$84$	−3.13427	−	2.13749i	−0.341977	−	0.233220i
$85$	−4.77077	−	11.1640i	−0.517463	−	1.21091i
$86$	−8.55009	+	1.81738i	−0.921980	+	0.195973i
$87$	0.136927	−	0.644189i	0.0146801	−	0.0690643i
$88$	−1.78425	+	8.39424i	−0.190202	+	0.894829i
$89$	1.78396	−	0.379193i	0.189100	−	0.0401944i	−0.112388	−	0.993664i	$-0.535850\pi$
$89$	1.78396	−	0.379193i	0.189100	−	0.0401944i	0.301488	+	0.953470i	$0.402517\pi$
$90$	0.374488	−	1.64020i	0.0394745	−	0.172892i
$91$	−11.2471	+	5.41454i	−1.17902	+	0.567598i
$92$	−1.02567	−	1.41171i	−0.106933	−	0.147181i
$93$	7.73972	−	4.46853i	0.802572	−	0.463365i
$94$	0.667524	+	6.35107i	0.0688498	+	0.655062i
$95$	1.31568	−	10.9342i	0.134986	−	1.12183i
$96$	−0.612790	+	5.83031i	−0.0625426	+	0.595053i
$97$	−4.26619	+	5.87191i	−0.433166	+	0.596202i	−0.968676	−	0.248327i	$-0.920119\pi$
$97$	−4.26619	+	5.87191i	−0.433166	+	0.596202i	0.535510	+	0.844529i	$0.320119\pi$
$98$	−2.42490	−	4.67532i	−0.244952	−	0.472279i
$99$	3.32157			0.333830
$100$	−3.76977	+	6.09842i	−0.376977	+	0.609842i
$101$	6.47395	−	11.2132i	0.644182	−	1.11576i	−0.340308	−	0.940314i	$-0.610531\pi$
$101$	6.47395	−	11.2132i	0.644182	−	1.11576i	0.984490	−	0.175442i	$-0.0561353\pi$
$102$	−3.03582	+	2.73346i	−0.300591	+	0.270653i
$103$	2.74101	+	0.288091i	0.270079	+	0.0283865i	0.238600	−	0.971118i	$-0.423312\pi$
$103$	2.74101	+	0.288091i	0.270079	+	0.0283865i	0.0314793	+	0.999504i	$0.489978\pi$
$104$	9.86157	+	7.16485i	0.967006	+	0.702571i
$105$	−3.89331	+	4.45445i	−0.379948	+	0.434710i
$106$	3.71668	−	2.70033i	0.360996	−	0.262279i
$107$	−5.52628	+	3.19060i	−0.534245	+	0.308447i	−0.742744	−	0.669576i	$-0.766476\pi$
$107$	−5.52628	+	3.19060i	−0.534245	+	0.308447i	0.208498	+	0.978023i	$0.433143\pi$
$108$	1.42605	−	0.149884i	0.137221	−	0.0144226i
$109$	15.5113	+	3.29703i	1.48571	+	0.315798i	0.878116	−	0.478448i	$-0.158800\pi$
$109$	15.5113	+	3.29703i	1.48571	+	0.315798i	0.607597	+	0.794246i	$0.292134\pi$
$110$	5.28816	+	1.80655i	0.504207	+	0.172248i
$111$	−3.27563	+	10.0814i	−0.310909	+	0.956880i
$112$	1.37721	−	2.01944i	0.130134	−	0.190820i
$113$	12.6766	−	4.11889i	1.19252	−	0.387473i	0.355515	−	0.934671i	$-0.384305\pi$
$113$	12.6766	−	4.11889i	1.19252	−	0.387473i	0.837003	+	0.547198i	$0.184305\pi$
$114$	−3.62471	+	0.770457i	−0.339486	+	0.0721599i
$115$	−2.37678	+	1.32500i	−0.221636	+	0.123557i
$116$	0.923704	+	0.196339i	0.0857637	+	0.0182296i
$117$	1.91897	−	4.31007i	0.177409	−	0.398466i
$118$		−	4.20532i		−	0.387131i
$119$	13.9559	−	3.40388i	1.27933	−	0.312033i
$120$	5.63228	+	1.28596i	0.514154	+	0.117391i
$121$	−0.00343088	+	0.0326427i	−0.000311899	+	0.00296752i
$122$	−0.116110	−	0.260787i	−0.0105121	−	0.0236106i
$123$	3.13559	−	2.82330i	0.282727	−	0.254568i
$124$	6.40744	+	11.0980i	0.575405	+	0.996630i
$125$	8.73964	+	6.97271i	0.781697	+	0.623658i
$126$	1.84186	+	0.755140i	0.164086	+	0.0672732i
$127$	4.74695	+	1.54238i	0.421224	+	0.136864i	0.511956	−	0.859011i	$-0.328921\pi$
$127$	4.74695	+	1.54238i	0.421224	+	0.136864i	−0.0907327	+	0.995875i	$0.528921\pi$
$128$	−9.74272	−	1.02400i	−0.861143	−	0.0905097i
$129$	−10.6133	+	4.72535i	−0.934449	+	0.416044i
$130$	5.39931	−	5.81823i	0.473551	−	0.510293i
$131$	−6.61487	−	2.94513i	−0.577944	−	0.257317i	0.0968799	−	0.995296i	$-0.469114\pi$
$131$	−6.61487	−	2.94513i	−0.577944	−	0.257317i	−0.674824	+	0.737979i	$0.735780\pi$
$132$			4.76281i			0.414549i
$133$	12.5075	+	3.65580i	1.08454	+	0.316998i
$134$	−3.10148	−	9.54536i	−0.267927	−	0.824594i
$135$	0.0336109	−	2.23582i	0.00289276	−	0.192428i
$136$	−9.38645	−	10.4247i	−0.804881	−	0.893911i
$137$	−2.29403	+	10.7926i	−0.195992	+	0.922070i	0.764685	+	0.644404i	$0.222894\pi$
$137$	−2.29403	+	10.7926i	−0.195992	+	0.922070i	−0.960677	+	0.277667i	$0.910439\pi$
$138$	0.680437	+	0.612668i	0.0579227	+	0.0521538i
$139$	−0.180548	+	0.555668i	−0.0153138	+	0.0471312i	−0.958421	−	0.285357i	$-0.907888\pi$
$139$	−0.180548	+	0.555668i	−0.0153138	+	0.0471312i	0.943108	+	0.332488i	$0.107888\pi$
$140$	−6.38725	−	5.58262i	−0.539821	−	0.471818i
$141$	2.62282	+	8.07222i	0.220881	+	0.679803i
$142$	−0.421438	+	0.946565i	−0.0353663	+	0.0794340i
$143$	13.5715	+	7.83552i	1.13491	+	0.655239i
$144$	0.0965717	+	0.918818i	0.00804764	+	0.0765682i
$145$	0.476068	−	1.39356i	0.0395353	−	0.115729i
$146$	−6.11630	−	4.44375i	−0.506188	−	0.367767i
$147$	−4.44443	−	5.40805i	−0.366570	−	0.446049i
$148$	−14.4557	−	4.69694i	−1.18825	−	0.386086i
$149$	−0.431160	−	0.746790i	−0.0353220	−	0.0611795i	0.847824	−	0.530278i	$-0.177912\pi$
$149$	−0.431160	−	0.746790i	−0.0353220	−	0.0611795i	−0.883146	+	0.469098i	$0.844579\pi$
$150$	1.26954	−	3.54129i	0.103657	−	0.289145i
$151$	0.287051	−	0.497187i	0.0233599	−	0.0404605i	−0.854109	−	0.520094i	$-0.825897\pi$
$151$	0.287051	−	0.497187i	0.0233599	−	0.0404605i	0.877469	+	0.479633i	$0.159230\pi$
$152$	−2.64567	−	12.4469i	−0.214592	−	1.00958i
$153$	−3.19136	+	4.39252i	−0.258006	+	0.355115i
$154$	−3.13400	+	5.82217i	−0.252545	+	0.469164i
$155$	18.3763	−	7.85285i	1.47602	−	0.630756i
$156$	6.18022	+	2.75161i	0.494814	+	0.220305i
$157$	7.17589	+	4.14300i	0.572699	+	0.330648i	0.758226	−	0.651991i	$-0.226066\pi$
$157$	7.17589	+	4.14300i	0.572699	+	0.330648i	−0.185528	+	0.982639i	$0.559399\pi$
$158$	4.57813	−	0.481181i	0.364217	−	0.0382807i
$159$	4.08566	−	4.53759i	0.324014	−	0.359854i
$160$	−2.91789	+	12.7799i	−0.230680	+	1.01034i
$161$	−1.08572	−	3.03114i	−0.0855667	−	0.238887i
$162$	−0.715570	+	0.232503i	−0.0562205	+	0.0182671i
$163$	6.69135	+	6.02492i	0.524107	+	0.471908i	0.888202	−	0.459454i	$-0.151955\pi$
$163$	6.69135	+	6.02492i	0.524107	+	0.471908i	−0.364094	+	0.931362i	$0.618621\pi$
$164$	4.04834	+	4.49613i	0.316122	+	0.351089i
$165$	7.37406	+	0.887301i	0.574070	+	0.0690763i
$166$	1.19880	−	1.33141i	0.0930451	−	0.103337i
$167$	−3.28114	−	4.51611i	−0.253903	−	0.349467i	0.662971	−	0.748645i	$-0.269295\pi$
$167$	−3.28114	−	4.51611i	−0.253903	−	0.349467i	−0.916873	+	0.399178i	$0.869295\pi$
$168$	−2.59308	+	6.32477i	−0.200060	+	0.487966i
$169$	7.49083	−	5.44241i	0.576218	−	0.418647i
$170$	−7.46988	+	5.25747i	−0.572914	+	0.403229i
$171$	−4.49939	+	2.00326i	−0.344077	+	0.153193i
$172$	−6.77569	−	15.2184i	−0.516641	−	1.16040i
$173$	2.95900	+	13.9210i	0.224968	+	1.05839i	0.935116	+	0.354341i	$0.115295\pi$
$173$	2.95900	+	13.9210i	0.224968	+	1.05839i	−0.710148	+	0.704053i	$0.751372\pi$
$174$	−0.495512			−0.0375647
$175$	−9.83328	+	8.84910i	−0.743326	+	0.668929i
$176$	−3.06873			−0.231314
$177$	−1.16207	−	5.46711i	−0.0873465	−	0.410933i
$178$	−0.558137	−	1.25360i	−0.0418341	−	0.0939610i
$179$	11.6612	−	5.19189i	0.871597	−	0.388060i	0.0783255	−	0.996928i	$-0.475043\pi$
$179$	11.6612	−	5.19189i	0.871597	−	0.388060i	0.793272	+	0.608868i	$0.208376\pi$
$180$	3.20594	+	0.0481947i	0.238957	+	0.00359222i
$181$	11.6068	−	8.43286i	0.862729	−	0.626809i	−0.0658971	−	0.997826i	$-0.520991\pi$
$181$	11.6068	−	8.43286i	0.862729	−	0.626809i	0.928626	+	0.371017i	$0.120991\pi$
$182$	5.74425	+	7.43032i	0.425792	+	0.550772i
$183$	−0.223013	−	0.306951i	−0.0164856	−	0.0226904i
$184$	−2.10384	+	2.33655i	−0.155097	+	0.172253i
$185$	−9.96515	+	21.5061i	−0.732652	+	1.58116i
$186$	−4.49937	−	4.99705i	−0.329910	−	0.366402i
$187$	−13.4021	−	12.0673i	−0.980060	−	0.882450i
$188$	−11.5748	+	3.76087i	−0.844177	+	0.274290i
$189$	2.60317	+	0.472750i	0.189353	+	0.0343875i
$190$	−8.25288	+	0.742175i	−0.598727	+	0.0538430i
$191$	−11.9413	+	13.2621i	−0.864041	+	0.959615i	−0.999514	−	0.0311660i	$-0.990078\pi$
$191$	−11.9413	+	13.2621i	−0.864041	+	0.959615i	0.135473	+	0.990781i	$0.456745\pi$
$192$	2.54906	−	0.267917i	0.183962	−	0.0193352i
$193$	−12.8448	−	7.41592i	−0.924586	−	0.533810i	−0.0394904	−	0.999220i	$-0.512573\pi$
$193$	−12.8448	−	7.41592i	−0.924586	−	0.533810i	−0.885095	+	0.465410i	$0.845907\pi$
$194$	4.98882	+	2.22117i	0.358176	+	0.159470i
$195$	5.41158	−	9.05598i	0.387531	−	0.648512i
$196$	7.75462	−	6.37288i	0.553901	−	0.455205i
$197$	11.0899	−	15.2639i	0.790123	−	1.08751i	−0.203970	−	0.978977i	$-0.565384\pi$
$197$	11.0899	−	15.2639i	0.790123	−	1.08751i	0.994093	−	0.108534i	$-0.0346156\pi$
$198$	−0.519599	−	2.44452i	−0.0369263	−	0.173724i
$199$	3.26014	−	5.64672i	0.231105	−	0.400285i	−0.727029	−	0.686607i	$-0.759099\pi$
$199$	3.26014	−	5.64672i	0.231105	−	0.400285i	0.958134	+	0.286322i	$0.0924326\pi$
$200$	12.1604	+	4.35946i	0.859873	+	0.308260i
$201$	−6.66976	−	11.5524i	−0.470449	−	0.814841i
$202$	−9.26512	−	3.01042i	−0.651892	−	0.211812i
$203$	1.53428	+	0.825884i	0.107685	+	0.0579657i
$204$	−6.29845	−	4.57609i	−0.440980	−	0.320391i
$205$	7.71538	−	5.43026i	0.538866	−	0.379266i
$206$	−0.216758	−	2.06232i	−0.0151023	−	0.143689i
$207$	1.05390	+	0.608469i	0.0732511	+	0.0422915i
$208$	−1.77290	+	3.98199i	−0.122928	+	0.276101i
$209$	−5.05533	−	15.5587i	−0.349684	−	1.07622i
$210$	3.88731	+	2.16847i	0.268250	+	0.149639i
$211$	3.88834	−	11.9671i	0.267684	−	0.823847i	−0.723379	−	0.690451i	$-0.757412\pi$
$211$	3.88834	−	11.9671i	0.267684	−	0.823847i	0.991063	−	0.133396i	$-0.0425881\pi$
$212$	6.50646	+	5.85844i	0.446865	+	0.402359i
$213$	−0.286321	+	1.34704i	−0.0196184	+	0.0922974i
$214$	3.21262	+	3.56797i	0.219610	+	0.243901i
$215$	−24.8244	+	7.65536i	−1.69301	+	0.522091i
$216$	−0.798392	−	2.45720i	−0.0543237	−	0.167191i
$217$	5.60289	+	22.9718i	0.380349	+	1.55943i
$218$		−	11.9313i		−	0.808093i
$219$	−9.17942	−	4.08694i	−0.620288	−	0.276170i
$220$	−1.27230	+	10.5737i	−0.0857786	+	0.712878i
$221$	−23.4014	+	10.4190i	−1.57415	+	0.700855i
$222$	7.93182	+	0.833668i	0.532349	+	0.0559521i
$223$	−21.1996	−	6.88816i	−1.41963	−	0.461265i	−0.504145	−	0.863619i	$-0.668192\pi$
$223$	−21.1996	−	6.88816i	−1.41963	−	0.461265i	−0.915484	+	0.402354i	$0.868192\pi$
$224$	−14.3512	−	5.88381i	−0.958879	−	0.393129i
$225$	0.671878	−	4.95465i	0.0447919	−	0.330310i
$226$	−5.01434	−	8.68509i	−0.333549	−	0.577724i
$227$	−20.9194	+	18.8359i	−1.38847	+	1.25018i	−0.455492	+	0.890240i	$0.650537\pi$
$227$	−20.9194	+	18.8359i	−1.38847	+	1.25018i	−0.932975	+	0.359941i	$0.882797\pi$
$228$	−2.87248	−	6.45169i	−0.190234	−	0.427273i
$229$	−0.404196	+	3.84567i	−0.0267101	+	0.254129i	0.973016	+	0.230736i	$0.0741135\pi$
$229$	−0.404196	+	3.84567i	−0.0267101	+	0.254129i	−0.999726	+	0.0233928i	$0.992553\pi$
$230$	1.34694	+	1.54192i	0.0888148	+	0.101671i
$231$	−2.46549	+	8.43511i	−0.162217	+	0.554990i
$232$		−	1.70154i		−	0.111712i
$233$	4.92130	−	11.0534i	0.322405	−	0.724134i	−0.677530	−	0.735495i	$-0.736950\pi$
$233$	4.92130	−	11.0534i	0.322405	−	0.724134i	0.999935	+	0.0113611i	$0.00361643\pi$
$234$	−3.47220	−	0.738039i	−0.226985	−	0.0482471i
$235$	3.66645	+	18.6214i	0.239173	+	1.21473i
$236$	7.83930	−	1.66629i	0.510295	−	0.108467i
$237$	5.81882	−	1.89065i	0.377973	−	0.122811i
$238$	−4.68824	−	9.73841i	−0.303893	−	0.631247i
$239$	−5.26491	+	16.2037i	−0.340559	+	1.04813i	0.623360	+	0.781935i	$0.285767\pi$
$239$	−5.26491	+	16.2037i	−0.340559	+	1.04813i	−0.963919	+	0.266197i	$0.914233\pi$
$240$	−0.0310524	+	2.06562i	−0.00200442	+	0.133335i
$241$	7.63719	+	1.62333i	0.491954	+	0.104568i	0.447208	−	0.894430i	$-0.352419\pi$
$241$	7.63719	+	1.62333i	0.491954	+	0.104568i	0.0447469	+	0.998998i	$0.485752\pi$
$242$	0.0245602	−	0.00258138i	0.00157879	−	0.000165937i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	0.440137	−	0.319778i	0.0281769	−	0.0204717i
$245$	−8.42220	−	13.1934i	−0.538075	−	0.842897i
$246$	−2.56832	−	1.86600i	−0.163750	−	0.118972i
$247$	−23.1096	−	2.42892i	−1.47043	−	0.154548i
$248$	17.1594	−	15.4504i	1.08962	−	0.981101i
$249$	1.19059	−	2.06216i	0.0754504	−	0.130684i
$250$	3.76443	−	7.52272i	0.238084	−	0.475778i
$251$	−20.4332			−1.28973			−0.644866	−	0.764295i	$-0.723087\pi$
$251$	−20.4332			−1.28973			−0.644866	+	0.764295i	$0.723087\pi$
$252$	−0.677877	+	3.73269i	−0.0427022	+	0.235138i
$253$	−2.37591	+	3.27017i	−0.149372	+	0.205594i
$254$	0.392544	−	3.73481i	0.0246304	−	0.234343i
$255$	−8.25837	+	8.89913i	−0.517159	+	0.557285i
$256$	1.30629	+	12.4285i	0.0816429	+	0.776780i
$257$	25.4661	−	14.7029i	1.58853	−	0.917139i	0.594983	−	0.803739i	$-0.297159\pi$
$257$	25.4661	−	14.7029i	1.58853	−	0.917139i	0.993549	−	0.113401i	$-0.0361744\pi$
$258$	5.13789	+	7.07170i	0.319871	+	0.440265i
$259$	−23.1702	−	15.8015i	−1.43973	−	0.981858i
$260$	12.9854	+	7.75967i	0.805319	+	0.481234i
$261$	−0.644189	+	0.136927i	−0.0398743	+	0.00847554i
$262$	−1.13270	+	5.32895i	−0.0699786	+	0.329223i
$263$	−2.66314	+	12.5291i	−0.164216	+	0.772576i	0.816532	+	0.577300i	$0.195894\pi$
$263$	−2.66314	+	12.5291i	−0.164216	+	0.772576i	−0.980748	+	0.195276i	$0.937440\pi$
$264$	8.39424	−	1.78425i	0.516630	−	0.109813i
$265$	10.2825	−	8.98228i	0.631651	−	0.551777i
$266$	0.733928	−	9.77683i	0.0450000	−	0.599456i
$267$	−1.07201	−	1.47550i	−0.0656062	−	0.0902992i
$268$	16.5650	−	9.56378i	1.01187	−	0.584201i
$269$	−0.494753	−	4.70726i	−0.0301656	−	0.287007i	−0.999197	−	0.0400687i	$-0.987242\pi$
$269$	−0.494753	−	4.70726i	−0.0301656	−	0.287007i	0.969031	−	0.246938i	$-0.0794243\pi$
$270$	−1.65071	+	0.325016i	−0.100459	+	0.0197799i
$271$	−1.10402	+	10.5040i	−0.0670643	+	0.638074i	0.908428	+	0.418041i	$0.137283\pi$
$271$	−1.10402	+	10.5040i	−0.0670643	+	0.638074i	−0.975492	+	0.220033i	$0.929384\pi$
$272$	2.94843	−	4.05816i	0.178775	−	0.246062i
$273$	9.52103	+	8.07243i	0.576239	+	0.488566i
$274$	8.30168			0.501523
$275$	16.1338	+	3.93971i	0.972904	+	0.237574i
$276$	−0.872486	+	1.51119i	−0.0525175	+	0.0909629i
$277$	−13.4966	+	12.1524i	−0.810935	+	0.730169i	−0.966225	−	0.257700i	$-0.917035\pi$
$277$	−13.4966	+	12.1524i	−0.810935	+	0.730169i	0.155290	+	0.987869i	$0.450369\pi$
$278$	0.437189	+	0.0459504i	0.0262209	+	0.00275592i
$279$	−7.23024	−	5.25307i	−0.432863	−	0.314493i
$280$	−7.44633	+	13.3486i	−0.445003	+	0.797733i
$281$	−23.5262	+	17.0928i	−1.40345	+	1.01967i	−0.409219	+	0.912436i	$0.634199\pi$
$281$	−23.5262	+	17.0928i	−1.40345	+	1.01967i	−0.994234	+	0.107232i	$0.965801\pi$
$282$	5.53048	−	3.19302i	0.329335	−	0.190142i
$283$	−16.3696	+	1.72051i	−0.973072	+	0.102274i	−0.577702	−	0.816248i	$-0.696050\pi$
$283$	−16.3696	+	1.72051i	−0.973072	+	0.102274i	−0.395370	+	0.918522i	$0.629384\pi$
$284$	−1.93152	−	0.410557i	−0.114614	−	0.0243621i
$285$	−10.5240	+	3.24540i	−0.623390	+	0.192241i
$286$	3.64356	−	11.2137i	0.215448	−	0.663082i
$287$	4.84232	+	10.0585i	0.285833	+	0.593732i
$288$	5.57549	−	1.81159i	0.328539	−	0.106749i
$289$	12.2063	−	2.59454i	0.718019	−	0.152620i
$290$	−1.10006	−	0.132368i	−0.0645980	−	0.00777290i
$291$	7.09947	+	1.50904i	0.416179	+	0.0884615i
$292$	5.86027	−	13.1624i	0.342947	−	0.770270i
$293$			22.6905i			1.32559i	0.748800	+	0.662797i	$0.230631\pi$
$293$			22.6905i			1.32559i	−0.748800	+	0.662797i	$0.769369\pi$
$294$	−3.28483	+	4.11688i	−0.191575	+	0.240101i
$295$	−1.11941	−	12.4477i	−0.0651747	−	0.724733i
$296$	−2.86273	+	27.2371i	−0.166393	+	1.58312i
$297$	−1.35100	−	3.03440i	−0.0783932	−	0.176074i
$298$	−0.482156	+	0.434135i	−0.0279305	+	0.0251488i
$299$	2.87074	+	4.97226i	0.166019	+	0.287553i
$300$	7.10449	+	0.963407i	0.410178	+	0.0556224i
$301$	−4.12211	−	30.4599i	−0.237595	−	1.75568i
$302$	−0.410810	−	0.133480i	−0.0236395	−	0.00768093i
$303$	−12.8770	−	1.35342i	−0.739762	−	0.0777521i
$304$	4.15689	−	1.85077i	0.238414	−	0.106149i
$305$	−0.413103	−	0.741021i	−0.0236542	−	0.0424307i
$306$	3.73192	+	1.66156i	0.213340	+	0.0949850i
$307$			28.3920i			1.62042i	0.586141	+	0.810209i	$0.300646\pi$
$307$			28.3920i			1.62042i	−0.586141	+	0.810209i	$0.699354\pi$
$308$	−12.0951	−	3.53527i	−0.689184	−	0.201440i
$309$	−0.851683	−	2.62121i	−0.0484505	−	0.149115i
$310$	−8.65396	−	12.2957i	−0.491512	−	0.698347i
$311$	15.8193	+	17.5691i	0.897032	+	0.996255i	0.999999	+	0.00156983i	$0.000499692\pi$
$311$	15.8193	+	17.5691i	0.897032	+	0.996255i	−0.102967	+	0.994685i	$0.532834\pi$
$312$	2.53435	−	11.9232i	0.143480	−	0.675018i
$313$	−14.8122	−	13.3369i	−0.837234	−	0.753849i	0.134252	−	0.990947i	$-0.457137\pi$
$313$	−14.8122	−	13.3369i	−0.837234	−	0.753849i	−0.971486	+	0.237099i	$0.923804\pi$
$314$	1.92652	−	5.92922i	0.108720	−	0.334605i
$315$	5.65290	+	1.74492i	0.318505	+	0.0983153i
$316$	2.71100	+	8.34361i	0.152506	+	0.469365i
$317$	2.64119	−	5.93220i	0.148344	−	0.333186i	−0.824055	−	0.566509i	$-0.808293\pi$
$317$	2.64119	−	5.93220i	0.148344	−	0.333186i	0.972399	+	0.233324i	$0.0749602\pi$
$318$	−3.97858	−	2.29703i	−0.223108	−	0.128811i
$319$	−0.228658	−	2.17554i	−0.0128024	−	0.121807i
$320$	5.73061	+	0.0861479i	0.320351	+	0.00481581i
$321$	5.16250	+	3.75077i	0.288142	+	0.209348i
$322$	−2.06093	+	1.27321i	−0.114851	+	0.0709529i
$323$	25.4323	+	8.26347i	1.41509	+	0.459792i
$324$	−0.716951	−	1.24180i	−0.0398306	−	0.0689886i
$325$	14.4331	−	18.6591i	0.800607	−	1.03502i
$326$	3.38732	−	5.86701i	0.187606	−	0.324944i
$327$	−3.29703	−	15.5113i	−0.182326	−	0.857777i
$328$	6.40765	−	8.81937i	0.353803	−	0.486968i
$329$	−22.4462	+	0.668919i	−1.23750	+	0.0368787i
$330$	−0.500525	−	5.56577i	−0.0275530	−	0.306385i
$331$	−16.9036	−	7.52598i	−0.929108	−	0.413665i	−0.114332	−	0.993443i	$-0.536473\pi$
$331$	−16.9036	−	7.52598i	−0.929108	−	0.413665i	−0.814775	+	0.579777i	$0.803140\pi$
$332$	2.95693	+	1.70718i	0.162283	+	0.0936939i
$333$	10.5421	−	1.10802i	0.577704	−	0.0607191i
$334$	−2.81037	+	3.12123i	−0.153777	+	0.170786i
$335$	−11.7212	−	27.4286i	−0.640398	−	1.49858i
$336$	−2.40502	−	0.436764i	−0.131204	−	0.0238274i
$337$	24.7089	−	8.02840i	1.34598	−	0.437335i	0.454640	−	0.890675i	$-0.349768\pi$
$337$	24.7089	−	8.02840i	1.34598	−	0.437335i	0.891337	+	0.453341i	$0.149768\pi$
$338$	−5.17716	−	4.66154i	−0.281600	−	0.253554i
$339$	−8.91885	−	9.90539i	−0.484405	−	0.537987i
$340$	−12.7605	−	11.8417i	−0.692034	−	0.642206i
$341$	19.8632	−	22.0603i	1.07565	−	1.19463i
$342$	2.17815	+	2.99797i	0.117781	+	0.162112i
$343$	17.0327	−	7.27240i	0.919678	−	0.392673i
$344$	−24.2835	+	17.6430i	−1.30928	+	0.951248i
$345$	2.17717	+	1.63237i	0.117215	+	0.0878837i
$346$	9.78232	−	4.35537i	0.525901	−	0.234146i
$347$	−10.2821	−	23.0939i	−0.551971	−	1.23975i	−0.947046	−	0.321098i	$-0.895948\pi$
$347$	−10.2821	−	23.0939i	−0.551971	−	1.23975i	0.395075	−	0.918649i	$-0.370718\pi$
$348$	−0.196339	−	0.923704i	−0.0105249	−	0.0495157i
$349$	−5.07360			−0.271583			−0.135792	−	0.990737i	$-0.543358\pi$
$349$	−5.07360			−0.271583			−0.135792	+	0.990737i	$0.543358\pi$
$350$	8.05076	+	5.85256i	0.430331	+	0.312832i
$351$	−4.71796			−0.251826
$352$	4.04855	+	19.0469i	0.215788	+	1.01520i
$353$	12.5093	+	28.0963i	0.665801	+	1.49541i	0.857782	+	0.514014i	$0.171842\pi$
$353$	12.5093	+	28.0963i	0.665801	+	1.49541i	−0.191981	+	0.981399i	$0.561491\pi$
$354$	−3.84175	+	1.71046i	−0.204187	+	0.0909098i
$355$	−0.995486	+	2.91401i	−0.0528349	+	0.154659i
$356$	2.11572	−	1.53716i	0.112133	−	0.0814695i
$357$	−8.78597	−	11.3649i	−0.465003	−	0.601492i
$358$	−5.64517	−	7.76990i	−0.298356	−	0.410652i
$359$	−11.9157	+	13.2338i	−0.628889	+	0.698452i	−0.970421	−	0.241418i	$-0.922388\pi$
$359$	−11.9157	+	13.2338i	−0.628889	+	0.698452i	0.341532	+	0.939870i	$0.389054\pi$
$360$	−1.11607	−	5.66839i	−0.0588223	−	0.298750i
$361$	3.51800	+	3.90713i	0.185158	+	0.205638i
$362$	−8.02186	−	7.22292i	−0.421620	−	0.379628i
$363$	0.0312160	−	0.0101427i	0.00163842	−	0.000532354i
$364$	−11.5751	+	13.6522i	−0.606699	+	0.715571i
$365$	−19.2870	−	11.5254i	−1.00953	−	0.603265i
$366$	−0.191015	+	0.212144i	−0.00998451	+	0.0110889i
$367$	−6.38519	+	0.671111i	−0.333304	+	0.0350317i	−0.269703	−	0.962944i	$-0.586925\pi$
$367$	−6.38519	+	0.671111i	−0.333304	+	0.0350317i	−0.0636017	+	0.997975i	$0.520259\pi$
$368$	−0.973676	−	0.562152i	−0.0507564	−	0.0293042i
$369$	−3.85457	−	1.71617i	−0.200661	−	0.0893401i
$370$	17.3864	+	3.96964i	0.903874	+	0.206372i
$371$	8.49054	+	13.7436i	0.440807	+	0.713533i
$372$	7.53239	−	10.3674i	0.390536	−	0.537527i
$373$	0.372121	+	1.75069i	0.0192677	+	0.0906475i	0.986731	−	0.162365i	$-0.0519121\pi$
$373$	0.372121	+	1.75069i	0.0192677	+	0.0906475i	−0.967463	+	0.253012i	$0.918579\pi$
$374$	−6.78447	+	11.7510i	−0.350816	+	0.607632i
$375$	2.81516	−	10.8201i	0.145374	−	0.558748i
$376$	10.9645	+	18.9911i	0.565453	+	0.979393i
$377$	−2.95508	−	0.960165i	−0.152194	−	0.0494510i
$378$	−0.0592970	−	1.98977i	−0.00304991	−	0.102343i
$379$	8.76299	+	6.36669i	0.450125	+	0.327035i	0.789645	−	0.613564i	$-0.210265\pi$
$379$	8.76299	+	6.36669i	0.450125	+	0.327035i	−0.339520	+	0.940599i	$0.610265\pi$
$380$	−4.65359	−	15.0904i	−0.238724	−	0.774122i
$381$	−0.521727	−	4.96390i	−0.0267289	−	0.254308i
$382$	11.6283	+	6.71361i	0.594956	+	0.343498i
$383$	−10.5624	+	23.7235i	−0.539713	+	1.21222i	0.413662	+	0.910430i	$0.364249\pi$
$383$	−10.5624	+	23.7235i	−0.539713	+	1.21222i	−0.953376	+	0.301786i	$0.902417\pi$
$384$	3.02725	+	9.31691i	0.154484	+	0.475452i
$385$	−7.72681	+	18.0678i	−0.393795	+	0.920820i
$386$	−3.44844	+	10.6132i	−0.175521	+	0.540199i
$387$	8.63364	+	7.77377i	0.438873	+	0.395163i
$388$	−2.16382	+	10.1799i	−0.109851	+	0.516809i
$389$	−14.6264	−	16.2443i	−0.741588	−	0.823617i	0.247815	−	0.968807i	$-0.420287\pi$
$389$	−14.6264	−	16.2443i	−0.741588	−	0.823617i	−0.989404	+	0.145190i	$0.953621\pi$
$390$	−7.51132	−	2.56603i	−0.380350	−	0.129936i
$391$	−2.04177	−	6.28393i	−0.103257	−	0.317792i
$392$	−14.1370	−	11.2798i	−0.714025	−	0.569714i
$393$			7.24088i			0.365254i
$394$	−12.9684	−	5.77389i	−0.653337	−	0.290884i
$395$	13.4231	−	2.64294i	0.675391	−	0.132981i
$396$	4.35104	−	1.93721i	0.218648	−	0.0973483i
$397$	15.9051	+	1.67169i	0.798254	+	0.0838999i	0.494868	−	0.868968i	$-0.335216\pi$
$397$	15.9051	+	1.67169i	0.798254	+	0.0838999i	0.303386	+	0.952868i	$0.401883\pi$
$398$	−4.66571	−	1.51598i	−0.233871	−	0.0759893i
$399$	−1.74752	−	12.9131i	−0.0874856	−	0.646465i
$400$	−0.620734	+	4.57750i	−0.0310367	+	0.228875i
$401$	−0.796042	−	1.37879i	−0.0397524	−	0.0688533i	0.845465	−	0.534031i	$-0.179324\pi$
$401$	−0.796042	−	1.37879i	−0.0397524	−	0.0688533i	−0.885217	+	0.465178i	$0.845990\pi$
$402$	−7.45864	+	6.71579i	−0.372003	+	0.334953i
$403$	−17.1499	−	38.5194i	−0.854299	−	1.91879i
$404$	1.94068	−	18.4643i	0.0965523	−	0.918633i
$405$	−2.05619	+	0.878683i	−0.102173	+	0.0436621i
$406$	0.367802	−	1.25835i	0.0182537	−	0.0624510i
$407$			35.2092i			1.74526i
$408$	−5.70563	+	12.8151i	−0.282471	+	0.634440i
$409$	−6.28831	−	1.33662i	−0.310937	−	0.0660917i	0.0498002	−	0.998759i	$-0.484142\pi$
$409$	−6.28831	−	1.33662i	−0.310937	−	0.0660917i	−0.360737	+	0.932668i	$0.617475\pi$
$410$	−5.20335	−	4.82869i	−0.256975	−	0.238472i
$411$	10.7926	−	2.29403i	0.532358	−	0.113156i
$412$	3.75856	−	1.22123i	0.185171	−	0.0601657i
$413$	14.7463	+	1.10697i	0.725616	+	0.0544707i
$414$	0.282942	−	0.870805i	0.0139058	−	0.0427977i
$415$	3.19404	−	4.26005i	0.156789	−	0.209118i
$416$	27.0543	+	5.75057i	1.32645	+	0.281945i
$417$	0.581064	−	0.0610722i	0.0284548	−	0.00299072i
$418$	−10.6597	+	6.15436i	−0.521381	+	0.301019i
$419$	−16.3934	+	11.9105i	−0.800871	+	0.581867i	−0.911170	−	0.412032i	$-0.864819\pi$
$419$	−16.3934	+	11.9105i	−0.800871	+	0.581867i	0.110298	+	0.993899i	$0.464819\pi$
$420$	−2.50205	+	8.10570i	−0.122088	+	0.395518i
$421$	−22.6370	−	16.4467i	−1.10326	−	0.801564i	−0.121669	−	0.992571i	$-0.538825\pi$
$421$	−22.6370	−	16.4467i	−1.10326	−	0.801564i	−0.981589	+	0.191007i	$0.938825\pi$
$422$	−9.41546	−	0.989605i	−0.458338	−	0.0481732i
$423$	6.30754	−	5.67933i	0.306683	−	0.276139i
$424$	7.88779	−	13.6621i	0.383065	−	0.663488i
$425$	−20.7113	+	17.5505i	−1.00464	+	0.851322i
$426$	1.03614			0.0502014
$427$	0.945034	−	0.338501i	0.0457334	−	0.0163812i
$428$	−5.37824	+	7.40251i	−0.259967	+	0.357814i
$429$	1.63807	−	15.5852i	0.0790868	−	0.752460i
$430$	9.51731	+	17.0721i	0.458966	+	0.823288i
$431$	2.91338	+	27.7190i	0.140333	+	1.33518i	0.807323	+	0.590109i	$0.200915\pi$
$431$	2.91338	+	27.7190i	0.140333	+	1.33518i	−0.666991	+	0.745066i	$0.732418\pi$
$432$	0.800103	−	0.461940i	0.0384950	−	0.0222251i
$433$	3.08717	+	4.24912i	0.148360	+	0.204200i	0.876728	−	0.480986i	$-0.159721\pi$
$433$	3.08717	+	4.24912i	0.148360	+	0.204200i	−0.728369	+	0.685186i	$0.759721\pi$
$434$	16.0297	−	7.71699i	0.769451	−	0.370427i
$435$	−1.46671	+	0.131900i	−0.0703234	+	0.00632413i
$436$	22.2417	−	4.72761i	1.06518	−	0.226412i
$437$	1.24615	−	5.86269i	0.0596116	−	0.280450i
$438$	−1.57185	+	7.39495i	−0.0751057	+	0.353344i
$439$	3.02206	−	0.642359i	0.144235	−	0.0306581i	−0.135228	−	0.990814i	$-0.543177\pi$
$439$	3.02206	−	0.642359i	0.144235	−	0.0306581i	0.279463	+	0.960156i	$0.409843\pi$
$440$	19.1123	−	1.71875i	0.911143	−	0.0819384i
$441$	−3.13279	+	6.25984i	−0.149181	+	0.298088i
$442$	11.3286	+	15.5925i	0.538846	+	0.741658i
$443$	−35.3856	+	20.4299i	−1.68122	+	0.970653i	−0.720367	+	0.693593i	$0.756026\pi$
$443$	−35.3856	+	20.4299i	−1.68122	+	0.970653i	−0.960853	+	0.277059i	$0.910640\pi$
$444$	1.58879	+	15.1163i	0.0754007	+	0.717390i
$445$	−1.98577	−	3.56206i	−0.0941347	−	0.168858i
$446$	−1.75308	+	16.6794i	−0.0830107	+	0.789794i
$447$	−0.506859	+	0.697631i	−0.0239736	+	0.0329968i
$448$	−1.21170	+	6.67218i	−0.0572476	+	0.315231i
$449$	29.1008			1.37335			0.686676	−	0.726964i	$-0.259069\pi$
$449$	29.1008			1.37335			0.686676	+	0.726964i	$0.259069\pi$
$450$	−3.75150	+	0.280594i	−0.176847	+	0.0132273i
$451$	7.00744	−	12.1372i	0.329968	−	0.571520i
$452$	14.2034	−	12.7888i	0.668070	−	0.601533i
$453$	−0.570957	−	0.0600100i	−0.0268259	−	0.00281952i
$454$	17.1348	+	12.4491i	0.804175	+	0.584267i
$455$	18.9808	+	20.4646i	0.889833	+	0.959396i
$456$	−10.2947	+	7.47956i	−0.482095	+	0.350262i
$457$	18.7947	−	10.8511i	0.879178	−	0.507594i	0.00879093	−	0.999961i	$-0.497202\pi$
$457$	18.7947	−	10.8511i	0.879178	−	0.507594i	0.870387	+	0.492368i	$0.163868\pi$
$458$	2.89346	−	0.304115i	0.135203	−	0.0142104i
$459$	5.31081	+	1.12885i	0.247887	+	0.0526901i
$460$	−2.34065	+	3.12185i	−0.109134	+	0.145557i
$461$	5.62408	−	17.3091i	0.261939	−	0.806167i	−0.730443	−	0.682973i	$-0.760686\pi$
$461$	5.62408	−	17.3091i	0.261939	−	0.806167i	0.992383	−	0.123193i	$-0.0393135\pi$
$462$	6.59353	+	0.494964i	0.306759	+	0.0230278i
$463$	7.46592	−	2.42582i	0.346971	−	0.112738i	−0.130347	−	0.991468i	$-0.541609\pi$
$463$	7.46592	−	2.42582i	0.346971	−	0.112738i	0.477318	+	0.878731i	$0.341609\pi$
$464$	0.595153	−	0.126504i	0.0276293	−	0.00587278i
$465$	−14.6482	−	13.5935i	−0.679296	−	0.630385i
$466$	−8.90465	−	1.89274i	−0.412500	−	0.0876795i
$467$	−1.34802	+	3.02771i	−0.0623791	+	0.140106i	−0.942045	−	0.335486i	$-0.891099\pi$
$467$	−1.34802	+	3.02771i	−0.0623791	+	0.140106i	0.879666	+	0.475592i	$0.157766\pi$
$468$		−	6.76510i		−	0.312717i
$469$	34.2879	−	8.36291i	1.58327	−	0.386163i
$470$	13.1309	−	5.61131i	0.605685	−	0.258831i
$471$	0.866124	−	8.24062i	0.0399089	−	0.379708i
$472$	−5.87355	−	13.1922i	−0.270352	−	0.607220i
$473$	−28.6772	+	25.8211i	−1.31858	+	1.18726i
$474$	−2.30168	−	3.98662i	−0.105719	−	0.183111i
$475$	−24.2309	+	4.39366i	−1.11179	+	0.201595i
$476$	16.2961	−	12.5982i	0.746930	−	0.577438i
$477$	−5.80708	−	1.88684i	−0.265888	−	0.0863922i
$478$	12.7488	+	1.33995i	0.583116	+	0.0612880i
$479$	32.1893	−	14.3316i	1.47077	−	0.654827i	0.494064	−	0.869426i	$-0.335511\pi$
$479$	32.1893	−	14.3316i	1.47077	−	0.654827i	0.976702	+	0.214599i	$0.0688443\pi$
$480$	12.8618	−	2.53242i	0.587060	−	0.115589i
$481$	45.6875	+	20.3414i	2.08317	+	0.927488i
$482$		−	5.87455i		−	0.267579i
$483$	−2.32748	+	2.22473i	−0.105904	+	0.101229i
$484$	0.0145436	+	0.0447608i	0.000661075	+	0.00203458i
$485$	15.3581	+	5.24665i	0.697375	+	0.238238i
$486$	0.503450	+	0.559138i	0.0228370	+	0.0253630i
$487$	−0.0906646	+	0.426543i	−0.00410840	+	0.0193285i	−0.980154	−	0.198237i	$-0.936478\pi$
$487$	−0.0906646	+	0.426543i	−0.00410840	+	0.0193285i	0.976046	+	0.217566i	$0.0698117\pi$
$488$	−0.728480	−	0.655927i	−0.0329768	−	0.0296924i
$489$	2.78242	−	8.56341i	0.125825	−	0.387251i
$490$	−8.39225	+	8.26222i	−0.379123	+	0.373249i
$491$	−2.93924	−	9.04605i	−0.132646	−	0.408242i	0.862570	−	0.505937i	$-0.168853\pi$
$491$	−2.93924	−	9.04605i	−0.132646	−	0.408242i	−0.995216	+	0.0976946i	$0.968853\pi$
$492$	2.46081	−	5.52708i	0.110942	−	0.249180i
$493$	3.09668	+	1.78787i	0.139467	+	0.0805215i
$494$	1.82750	+	17.3875i	0.0822233	+	0.782303i
$495$	−2.18871	−	7.09744i	−0.0983753	−	0.319006i
$496$	6.67986	+	4.85321i	0.299935	+	0.217915i
$497$	−3.20827	−	1.72697i	−0.143910	−	0.0774652i
$498$	−1.70390	−	0.553629i	−0.0763534	−	0.0248087i
$499$	2.68908	+	4.65762i	0.120380	+	0.208504i	0.919917	−	0.392112i	$-0.128255\pi$
$499$	2.68908	+	4.65762i	0.120380	+	0.208504i	−0.799538	+	0.600616i	$0.794922\pi$
$500$	15.5150	+	4.03666i	0.693851	+	0.180525i
$501$	−2.79111	+	4.83434i	−0.124698	+	0.215982i
$502$	3.19640	+	15.0379i	0.142662	+	0.671174i
$503$	2.84015	−	3.90913i	0.126636	−	0.174299i	−0.740991	−	0.671515i	$-0.765644\pi$
$503$	2.84015	−	3.90913i	0.126636	−	0.174299i	0.867627	+	0.497215i	$0.165644\pi$
$504$	6.83266	−	0.203620i	0.304351	−	0.00906996i
$505$	−28.2260	−	6.44454i	−1.25604	−	0.286778i
$506$	2.77836	+	1.23700i	0.123513	+	0.0549915i
$507$	−8.01868	−	4.62959i	−0.356122	−	0.205607i
$508$	7.11774	−	0.748105i	0.315799	−	0.0331918i
$509$	7.81637	−	8.68096i	0.346455	−	0.384777i	−0.544583	−	0.838707i	$-0.683312\pi$
$509$	7.81637	−	8.68096i	0.346455	−	0.384777i	0.891037	+	0.453931i	$0.149979\pi$
$510$	7.84121	+	4.68567i	0.347215	+	0.207485i
$511$	17.1923	−	20.2775i	0.760544	−	0.897024i
$512$	−9.69139	+	3.14892i	−0.428303	+	0.139164i
$513$	3.66013	+	3.29560i	0.161599	+	0.145504i
$514$	−14.8043	−	16.4419i	−0.652991	−	0.725220i
$515$	−1.19057	−	6.04674i	−0.0524628	−	0.266451i
$516$	−11.1468	+	12.3798i	−0.490711	+	0.544990i
$517$	16.5710	+	22.8080i	0.728791	+	1.00310i
$518$	−8.00462	+	19.5240i	−0.351703	+	0.857837i
$519$	11.5139	−	8.36536i	0.505405	−	0.367198i
$520$	8.81148	−	25.7931i	0.386409	−	1.13110i
$521$	6.14970	−	2.73802i	0.269423	−	0.119955i	−0.267578	−	0.963536i	$-0.586223\pi$
$521$	6.14970	−	2.73802i	0.269423	−	0.119955i	0.537002	+	0.843581i	$0.319557\pi$
$522$	0.201543	+	0.452673i	0.00882130	+	0.0198130i
$523$	0.456228	+	2.14638i	0.0199495	+	0.0938548i	0.986996	−	0.160745i	$-0.0513896\pi$
$523$	0.456228	+	2.14638i	0.0199495	+	0.0938548i	−0.967047	+	0.254600i	$0.918056\pi$
$524$	−10.3827			−0.453571
$525$	12.0836	+	5.38390i	0.527372	+	0.234973i
$526$	9.63742			0.420211
$527$	10.0886	+	47.4631i	0.439466	+	2.06752i
$528$	1.24816	+	2.80342i	0.0543194	+	0.122003i
$529$	19.6586	−	8.75259i	0.854723	−	0.380547i
$530$	−8.21905	−	6.16235i	−0.357013	−	0.267675i
$531$	−4.52180	+	3.28528i	−0.196229	+	0.142569i
$532$	18.5162	−	2.50578i	0.802778	−	0.108639i
$533$	−11.7009	−	16.1049i	−0.506822	−	0.697581i
$534$	−0.918202	+	1.01977i	−0.0397345	+	0.0441296i
$535$	10.4591	+	9.70599i	0.452185	+	0.419627i
$536$	−23.0614	−	25.6122i	−0.996099	−	1.10628i
$537$	−9.48606	−	8.54128i	−0.409354	−	0.368584i
$538$	−3.38693	+	1.10048i	−0.146021	+	0.0474450i
$539$	−19.5909	−	12.5222i	−0.843840	−	0.539369i
$540$	−1.25995	−	2.94837i	−0.0542194	−	0.126878i
$541$	−4.10347	+	4.55736i	−0.176422	+	0.195936i	−0.824870	−	0.565323i	$-0.808752\pi$
$541$	−4.10347	+	4.55736i	−0.176422	+	0.195936i	0.648448	+	0.761259i	$0.275418\pi$
$542$	7.90317	−	0.830657i	0.339470	−	0.0356798i
$543$	−12.4247	−	7.17342i	−0.533196	−	0.307841i
$544$	−29.0780	−	12.9463i	−1.24671	−	0.555070i
$545$	−3.17600	−	35.3167i	−0.136045	−	1.51280i
$546$	4.45154	−	8.26982i	0.190508	−	0.353916i
$547$	−5.68607	+	7.82620i	−0.243119	+	0.334624i	−0.913086	−	0.407766i	$-0.866308\pi$
$547$	−5.68607	+	7.82620i	−0.243119	+	0.334624i	0.669968	+	0.742390i	$0.266308\pi$
$548$	3.28941	+	15.4755i	0.140517	+	0.661079i
$549$	−0.189706	+	0.328580i	−0.00809645	+	0.0140235i
$550$	0.375608	−	12.4900i	0.0160160	−	0.532576i
$551$	1.62182	+	2.80907i	0.0690918	+	0.119671i
$552$	2.99026	+	0.971594i	0.127274	+	0.0413538i
$553$	0.482187	+	16.1802i	0.0205047	+	0.688053i
$554$	11.0549	+	8.03187i	0.469679	+	0.341242i
$555$	23.7000	+	0.356281i	1.00601	+	0.0151233i
$556$	0.0875716	+	0.833188i	0.00371386	+	0.0353351i
$557$	5.41434	+	3.12597i	0.229413	+	0.132452i	0.610301	−	0.792169i	$-0.291048\pi$
$557$	5.41434	+	3.12597i	0.229413	+	0.132452i	−0.380888	+	0.924621i	$0.624382\pi$
$558$	−2.73498	+	6.14286i	−0.115781	+	0.260048i
$559$	16.9378	+	52.1292i	0.716393	+	2.20483i
$560$	−5.22259	−	1.61210i	−0.220695	−	0.0681236i
$561$	−5.57291	+	17.1517i	−0.235289	+	0.724144i
$562$	16.2597	+	14.6403i	0.685874	+	0.617564i
$563$	6.37557	−	29.9947i	0.268698	−	1.26413i	−0.612155	−	0.790738i	$-0.709697\pi$
$563$	6.37557	−	29.9947i	0.268698	−	1.26413i	0.880854	−	0.473389i	$-0.156969\pi$
$564$	8.14361	+	9.04439i	0.342908	+	0.380838i
$565$	−17.1543	−	24.3730i	−0.721686	−	1.02538i
$566$	3.82694	+	11.7781i	0.160858	+	0.495071i
$567$	−0.626927	−	2.57040i	−0.0263285	−	0.107947i
$568$			3.55802i			0.149291i
$569$	5.23515	+	2.33084i	0.219469	+	0.0977138i	0.513526	−	0.858074i	$-0.328339\pi$
$569$	5.23515	+	2.33084i	0.219469	+	0.0977138i	−0.294057	+	0.955788i	$0.595006\pi$
$570$	4.03476	+	7.23751i	0.168997	+	0.303146i
$571$	−39.3647	+	17.5263i	−1.64736	+	0.733452i	−0.999597	−	0.0283897i	$-0.990962\pi$
$571$	−39.3647	+	17.5263i	−1.64736	+	0.733452i	−0.647763	+	0.761842i	$0.724295\pi$
$572$	22.3476	+	2.34883i	0.934402	+	0.0982096i
$573$	16.9725	+	5.51471i	0.709038	+	0.230380i
$574$	6.64507	−	5.13718i	0.277360	−	0.214422i
$575$	4.39738	+	4.20554i	0.183383	+	0.175383i
$576$	−1.28155	−	2.21971i	−0.0533979	−	0.0924878i
$577$	−25.8734	+	23.2966i	−1.07713	+	0.969848i	−0.999632	−	0.0271445i	$-0.991359\pi$
$577$	−25.8734	+	23.2966i	−1.07713	+	0.969848i	−0.0774942	+	0.996993i	$0.524692\pi$
$578$	−3.81891	−	8.57742i	−0.158846	−	0.356774i
$579$	−1.55035	+	14.7506i	−0.0644303	+	0.613014i
$580$	−0.189132	−	2.10312i	−0.00785328	−	0.0873273i
$581$	4.35311	+	4.55416i	0.180597	+	0.188938i
$582$		−	5.46094i		−	0.226363i
$583$	8.24913	−	18.5279i	0.341644	−	0.767345i
$584$	−25.3935	−	5.39756i	−1.05079	−	0.223353i
$585$	−10.4741	−	1.26032i	−0.433052	−	0.0521080i
$586$	16.6991	−	3.54951i	0.689835	−	0.146629i
$587$	15.6689	−	5.09114i	0.646726	−	0.210134i	0.0327559	−	0.999463i	$-0.489572\pi$
$587$	15.6689	−	5.09114i	0.646726	−	0.210134i	0.613970	+	0.789329i	$0.289572\pi$
$588$	−8.97600	−	4.49212i	−0.370164	−	0.185252i
$589$	−13.6019	+	41.8625i	−0.560458	+	1.72491i
$590$	−8.98582	+	2.77105i	−0.369940	+	0.114082i
$591$	−18.4550	−	3.92273i	−0.759136	−	0.161359i
$592$	−9.73963	+	1.02368i	−0.400296	+	0.0420728i
$593$	−21.0036	+	12.1264i	−0.862514	+	0.497972i	−0.864853	−	0.502025i	$-0.832589\pi$
$593$	−21.0036	+	12.1264i	−0.862514	+	0.497972i	0.00233959	+	0.999997i	$0.499255\pi$
$594$	−2.02184	+	1.46895i	−0.0829571	+	0.0602719i
$595$	−16.4694	−	27.5776i	−0.675179	−	1.13057i
$596$	−1.00033	−	0.726786i	−0.0409753	−	0.0297703i
$597$	−6.48455	−	0.681554i	−0.265395	−	0.0278941i
$598$	3.21028	−	2.89055i	0.131278	−	0.118203i
$599$	−0.407789	+	0.706311i	−0.0166618	+	0.0288591i	−0.874236	−	0.485501i	$-0.838637\pi$
$599$	−0.407789	+	0.706311i	−0.0166618	+	0.0288591i	0.857574	+	0.514360i	$0.171971\pi$
$600$	−0.963531	−	12.8823i	−0.0393360	−	0.525916i
$601$	0.948146			0.0386757			0.0193378	−	0.999813i	$-0.493844\pi$
$601$	0.948146			0.0386757			0.0193378	+	0.999813i	$0.493844\pi$
$602$	−21.7722	+	7.79858i	−0.887370	+	0.317846i
$603$	−7.84077	+	10.7919i	−0.319301	+	0.439480i
$604$	0.0860485	−	0.818697i	0.00350126	−	0.0333123i
$605$	0.0720108	−	0.0141785i	0.00292765	−	0.000576439i
$606$	1.01831	+	9.68856i	0.0413660	+	0.393571i
$607$	−30.3895	+	17.5454i	−1.23347	+	0.712146i	−0.967752	−	0.251904i	$-0.918943\pi$
$607$	−30.3895	+	17.5454i	−1.23347	+	0.712146i	−0.265720	+	0.964050i	$0.585610\pi$
$608$	−16.9715	−	23.3592i	−0.688284	−	0.947341i
$609$	0.130435	−	1.73755i	0.00528548	−	0.0704091i
$610$	−0.480734	+	0.419944i	−0.0194644	+	0.0170030i
$611$	39.1693	−	8.32568i	1.58462	−	0.336821i
$612$	−1.61866	+	7.61518i	−0.0654304	+	0.307826i
$613$	−6.27752	+	29.5334i	−0.253547	+	1.19284i	0.648503	+	0.761212i	$0.275395\pi$
$613$	−6.27752	+	29.5334i	−0.253547	+	1.19284i	−0.902050	+	0.431632i	$0.857938\pi$
$614$	20.8952	−	4.44141i	0.843261	−	0.179241i
$615$	−8.09892	−	4.83967i	−0.326580	−	0.195154i
$616$	−1.69966	+	22.6415i	−0.0684811	+	0.912253i
$617$	16.3781	+	22.5425i	0.659356	+	0.907526i	0.999460	−	0.0328621i	$-0.0104622\pi$
$617$	16.3781	+	22.5425i	0.659356	+	0.907526i	−0.340104	+	0.940388i	$0.610462\pi$
$618$	−1.79586	+	1.03684i	−0.0722400	+	0.0417078i
$619$	−1.95669	−	18.6167i	−0.0786460	−	0.748267i	−0.960788	−	0.277284i	$-0.910566\pi$
$619$	−1.95669	−	18.6167i	−0.0786460	−	0.748267i	0.882142	−	0.470983i	$-0.156101\pi$
$620$	19.4918	−	21.0041i	0.782810	−	0.843547i
$621$	0.127205	−	1.21027i	0.00510455	−	0.0485666i
$622$	10.4554	−	14.3907i	0.419224	−	0.577013i
$623$	4.54275	−	1.62716i	0.182001	−	0.0651909i
$624$	4.35883			0.174493
$625$	9.14021	−	23.2692i	0.365608	−	0.930769i
$626$	−7.49827	+	12.9874i	−0.299691	+	0.519081i
$627$	−12.1574	+	10.9466i	−0.485519	+	0.437164i
$628$	11.8162	+	1.24194i	0.471519	+	0.0495587i
$629$	−46.5615	−	33.8289i	−1.85653	−	1.34885i
$630$	0.399890	−	4.43323i	0.0159320	−	0.176624i
$631$	−11.7620	+	8.54557i	−0.468237	+	0.340194i	−0.796754	−	0.604304i	$-0.793451\pi$
$631$	−11.7620	+	8.54557i	−0.468237	+	0.340194i	0.328517	+	0.944498i	$0.393451\pi$
$632$	13.6897	−	7.90373i	0.544545	−	0.314393i
$633$	−12.5140	+	1.31527i	−0.497386	+	0.0522774i
$634$	−4.77899	−	1.01581i	−0.189798	−	0.0403428i
$635$	0.167760	−	11.1595i	0.00665734	−	0.442851i
$636$	2.70554	−	8.32679i	0.107282	−	0.330179i
$637$	−27.5670	+	18.1867i	−1.09225	+	0.720585i
$638$	−1.56532	+	0.508605i	−0.0619718	+	0.0201358i
$639$	1.34704	−	0.286321i	0.0532879	−	0.0113267i
$640$	4.23180	+	21.4927i	0.167277	+	0.849575i
$641$	37.7048	+	8.01441i	1.48925	+	0.316550i	0.879445	−	0.476001i	$-0.157914\pi$
$641$	37.7048	+	8.01441i	1.48925	+	0.316550i	0.609806	+	0.792551i	$0.291247\pi$
$642$	1.95282	−	4.38610i	0.0770715	−	0.173105i
$643$			7.55978i			0.298128i	0.988828	+	0.149064i	$0.0476261\pi$
$643$			7.55978i			0.298128i	−0.988828	+	0.149064i	$0.952374\pi$
$644$	−3.19004	−	3.33738i	−0.125705	−	0.131511i
$645$	17.0905	+	19.5645i	0.672939	+	0.770352i
$646$	2.10310	−	20.0097i	0.0827455	−	0.787271i
$647$	−12.3675	−	27.7779i	−0.486217	−	1.09206i	−0.975513	−	0.219944i	$-0.929413\pi$
$647$	−12.3675	−	27.7779i	−0.486217	−	1.09206i	0.489295	−	0.872118i	$-0.337254\pi$
$648$	−1.92003	+	1.72880i	−0.0754258	+	0.0679137i
$649$	−9.28254	−	16.0778i	−0.364371	−	0.631110i
$650$	−15.9901	−	7.70324i	−0.627182	−	0.302146i
$651$	18.7069	−	14.4620i	0.733182	−	0.566810i
$652$	12.2791	+	3.98972i	0.480886	+	0.156249i
$653$	−10.9889	−	1.15498i	−0.430027	−	0.0451977i	−0.112957	−	0.993600i	$-0.536032\pi$
$653$	−10.9889	−	1.15498i	−0.430027	−	0.0451977i	−0.317070	+	0.948402i	$0.602699\pi$
$654$	−10.8998	+	4.85292i	−0.426217	+	0.189764i
$655$	−1.93428	+	16.0751i	−0.0755785	+	0.628108i
$656$	3.56116	+	1.58553i	0.139040	+	0.0619046i
$657$			10.0481i			0.392015i
$658$	4.00359	+	16.4147i	0.156076	+	0.639912i
$659$	6.90253	+	21.2438i	0.268885	+	0.827542i	0.990773	+	0.135532i	$0.0432744\pi$
$659$	6.90253	+	21.2438i	0.268885	+	0.827542i	−0.721888	+	0.692009i	$0.756726\pi$
$660$	10.1770	−	3.13840i	0.396140	−	0.122162i
$661$	−24.6837	−	27.4140i	−0.960083	−	1.06628i	−0.997754	−	0.0669897i	$-0.978661\pi$
$661$	−24.6837	−	27.4140i	−0.960083	−	1.06628i	0.0376709	−	0.999290i	$-0.488006\pi$
$662$	−2.89451	+	13.6176i	−0.112498	+	0.529262i
$663$	19.0364	+	17.1404i	0.739312	+	0.665680i
$664$	1.90111	−	5.85101i	0.0737774	−	0.227063i
$665$	−0.430070	−	29.1347i	−0.0166774	−	1.12979i
$666$	−2.46457	−	7.58516i	−0.0955001	−	0.293919i
$667$	0.325980	−	0.732163i	0.0126220	−	0.0283495i
$668$	−6.93197	−	4.00218i	−0.268206	−	0.154849i
$669$	2.33000	+	22.1684i	0.0900829	+	0.857082i
$670$	−18.3526	+	12.9170i	−0.709022	+	0.499026i
$671$	−1.01956	−	0.740752i	−0.0393596	−	0.0285964i
$672$	0.462023	+	15.5036i	0.0178229	+	0.598065i
$673$	−39.7715	−	12.9225i	−1.53308	−	0.498127i	−0.583621	−	0.812026i	$-0.698365\pi$
$673$	−39.7715	−	12.9225i	−1.53308	−	0.498127i	−0.949456	+	0.313899i	$0.898365\pi$
$674$	−9.77377	−	16.9287i	−0.376472	−	0.652068i
$675$	−4.79958	+	1.40145i	−0.184736	+	0.0539417i
$676$	6.63838	−	11.4980i	0.255322	−	0.442231i
$677$	4.34076	+	20.4217i	0.166829	+	0.784868i	0.979388	+	0.201989i	$0.0647405\pi$
$677$	4.34076	+	20.4217i	0.166829	+	0.784868i	−0.812559	+	0.582879i	$0.801926\pi$
$678$	−5.89471	+	8.11337i	−0.226385	+	0.311592i
$679$	−9.10190	+	16.9090i	−0.349299	+	0.648907i
$680$	−16.0901	+	26.9259i	−0.617028	+	1.03256i
$681$	25.7161	+	11.4495i	0.985443	+	0.438748i
$682$	−19.3426	−	11.1674i	−0.740666	−	0.427624i
$683$	21.1797	−	2.22607i	0.810417	−	0.0851782i	0.309750	−	0.950818i	$-0.399755\pi$
$683$	21.1797	−	2.22607i	0.810417	−	0.0851782i	0.500667	+	0.865640i	$0.333088\pi$
$684$	−4.72557	+	5.24827i	−0.180687	+	0.200673i
$685$	24.5729	−	2.20982i	0.938881	−	0.0844329i
$686$	−8.01660	−	11.3976i	−0.306075	−	0.435163i
$687$	3.67760	−	1.19492i	0.140309	−	0.0455892i
$688$	−7.97644	−	7.18202i	−0.304099	−	0.273812i
$689$	−19.2760	−	21.4082i	−0.734357	−	0.815586i
$690$	0.860767	−	1.85765i	0.0327688	−	0.0707196i
$691$	12.1600	−	13.5051i	0.462590	−	0.513758i	−0.466041	−	0.884763i	$-0.654320\pi$
$691$	12.1600	−	13.5051i	0.462590	−	0.513758i	0.928631	+	0.371005i	$0.120987\pi$
$692$	11.9951	+	16.5098i	0.455985	+	0.627610i
$693$	8.70866	−	1.17854i	0.330815	−	0.0447689i
$694$	−15.3876	+	11.1797i	−0.584105	+	0.424377i
$695$	1.30631	+	0.0196376i	0.0495510	+	0.000744897i
$696$	−1.55444	+	0.692079i	−0.0589207	+	0.0262332i
$697$	9.31786	+	20.9282i	0.352939	+	0.792714i
$698$	0.793671	+	3.73393i	0.0300409	+	0.141331i
$699$	−12.0995			−0.457644
$700$	−7.71999	+	17.3267i	−0.291788	+	0.654888i
$701$	8.30879			0.313819			0.156909	−	0.987613i	$-0.449847\pi$
$701$	8.30879			0.313819			0.156909	+	0.987613i	$0.449847\pi$
$702$	0.738039	+	3.47220i	0.0278555	+	0.131050i
$703$	−21.2349	−	47.6943i	−0.800888	−	1.79882i
$704$	7.77747	−	3.46275i	0.293125	−	0.130507i
$705$	15.5202	−	10.9235i	0.584525	−	0.411402i
$706$	18.7207	−	13.6014i	0.704562	−	0.511895i
$707$	12.9951	−	31.6964i	0.488733	−	1.19207i
$708$	−4.71077	−	6.48381i	−0.177041	−	0.243677i
$709$	0.209743	−	0.232944i	0.00787707	−	0.00874838i	−0.739193	−	0.673493i	$-0.764793\pi$
$709$	0.209743	−	0.232944i	0.00787707	−	0.00874838i	0.747070	+	0.664745i	$0.231460\pi$
$710$	2.30030	+	0.276789i	0.0863286	+	0.0103877i
$711$	−4.09392	−	4.54676i	−0.153534	−	0.170517i
$712$	−3.50178	−	3.15302i	−0.131235	−	0.118164i
$713$	10.3436	−	3.36083i	0.387369	−	0.125864i
$714$	−6.98960	+	8.24388i	−0.261579	+	0.308520i
$715$	7.79992	−	34.1624i	0.291701	−	1.27760i
$716$	12.2474	−	13.6021i	0.457705	−	0.508333i
$717$	16.9443	−	1.78092i	0.632796	−	0.0665095i
$718$	11.6034	+	6.69925i	0.433037	+	0.250014i
$719$	−11.7709	−	5.24073i	−0.438979	−	0.195446i	0.175333	−	0.984509i	$-0.443900\pi$
$719$	−11.7709	−	5.24073i	−0.438979	−	0.195446i	−0.614312	+	0.789063i	$0.710566\pi$
$720$	1.89967	−	0.811797i	0.0707966	−	0.0302539i
$721$	7.28873	−	0.217211i	0.271446	−	0.00808937i
$722$	2.32514	−	3.20028i	0.0865327	−	0.119102i
$723$	−1.62333	−	7.63719i	−0.0603724	−	0.284030i
$724$	10.2860	−	17.8158i	0.382275	−	0.662120i
$725$	−3.29141	−	0.0989815i	−0.122240	−	0.00367608i
$726$	−0.0123477	−	0.0213869i	−0.000458267	−	0.000793743i
$727$	−21.1053	−	6.85752i	−0.782752	−	0.254331i	−0.109737	−	0.993961i	$-0.535001\pi$
$727$	−21.1053	−	6.85752i	−0.782752	−	0.254331i	−0.673015	+	0.739629i	$0.735001\pi$
$728$	28.3977	+	15.2862i	1.05249	+	0.566543i
$729$	0.809017	+	0.587785i	0.0299636	+	0.0217698i
$730$	−5.46502	+	15.9973i	−0.202269	+	0.592086i
$731$	−6.59343	−	62.7323i	−0.243867	−	2.32024i
$732$	−0.471152	−	0.272020i	−0.0174143	−	0.0100541i
$733$	−14.1983	+	31.8900i	−0.524428	+	1.17788i	0.436150	+	0.899874i	$0.356342\pi$
$733$	−14.1983	+	31.8900i	−0.524428	+	1.17788i	−0.960578	+	0.278010i	$0.910325\pi$
$734$	1.49275	+	4.59422i	0.0550985	+	0.169576i
$735$	−8.62718	+	13.0603i	−0.318218	+	0.481737i
$736$	−2.20459	+	6.78504i	−0.0812623	+	0.250100i
$737$	−32.9274	−	29.6479i	−1.21290	−	1.09210i
$738$	−0.660041	+	3.10525i	−0.0242964	+	0.114306i
$739$	−11.1661	−	12.4012i	−0.410750	−	0.456184i	0.501900	−	0.864926i	$-0.332635\pi$
$739$	−11.1661	−	12.4012i	−0.410750	−	0.456184i	−0.912650	+	0.408741i	$0.865968\pi$
$740$	−0.510872	+	33.9835i	−0.0187800	+	1.24926i
$741$	7.18060	+	22.0996i	0.263786	+	0.811849i
$742$	8.78647	−	8.39858i	0.322562	−	0.308322i
$743$		−	38.5778i		−	1.41528i	−0.706572	−	0.707641i	$-0.749759\pi$
$743$		−	38.5778i		−	1.41528i	0.706572	−	0.707641i	$-0.250241\pi$
$744$	−21.0940	−	9.39165i	−0.773343	−	0.344315i
$745$	−1.31161	+	1.41338i	−0.0480538	+	0.0517822i
$746$	1.23022	−	0.547728i	0.0450415	−	0.0200537i
$747$	−2.36813	−	0.248900i	−0.0866453	−	0.00910679i
$748$	−24.5938	−	7.99101i	−0.899238	−	0.292180i
$749$	−13.3570	+	10.3261i	−0.488055	+	0.377306i
$750$	−8.40348	−	0.379215i	−0.306852	−	0.0138470i
$751$	−6.25378	−	10.8319i	−0.228204	−	0.395260i	0.729072	−	0.684437i	$-0.239952\pi$
$751$	−6.25378	−	10.8319i	−0.228204	−	0.395260i	−0.957276	+	0.289177i	$0.906618\pi$
$752$	−5.82740	+	5.24702i	−0.212504	+	0.191339i
$753$	8.31093	+	18.6667i	0.302867	+	0.680251i
$754$	−0.244368	+	2.32500i	−0.00889934	+	0.0846716i
$755$	−1.25153	−	0.285747i	−0.0455477	−	0.0103994i
$756$	3.68570	−	0.898952i	0.134048	−	0.0326946i
$757$			46.2924i			1.68252i	0.540627	+	0.841262i	$0.318187\pi$
$757$			46.2924i			1.68252i	−0.540627	+	0.841262i	$0.681813\pi$
$758$	3.31477	−	7.44510i	0.120398	−	0.270418i
$759$	3.95382	+	0.840410i	0.143514	+	0.0305049i
$760$	−24.8529	+	13.8550i	−0.901509	+	0.502572i
$761$	−30.2669	+	6.43344i	−1.09718	+	0.233212i	−0.720722	−	0.693224i	$-0.756190\pi$
$761$	−30.2669	+	6.43344i	−1.09718	+	0.233212i	−0.376453	+	0.926436i	$0.622856\pi$
$762$	−3.57158	+	1.16048i	−0.129385	+	0.0420396i
$763$	41.8381	+	3.14071i	1.51464	+	0.113701i
$764$	−7.90755	+	24.3369i	−0.286085	+	0.880480i
$765$	11.4887	+	3.92480i	0.415376	+	0.141901i
$766$	19.1117	+	4.06232i	0.690534	+	0.146778i
$767$	−26.2254	+	2.75640i	−0.946945	+	0.0995279i
$768$	10.8227	−	6.24847i	0.390529	−	0.225472i
$769$	11.3469	−	8.24400i	0.409180	−	0.297286i	−0.364090	−	0.931364i	$-0.618620\pi$
$769$	11.3469	−	8.24400i	0.409180	−	0.297286i	0.773270	+	0.634077i	$0.218620\pi$
$770$	14.5058	+	2.86020i	0.522752	+	0.103074i
$771$	−23.7897	−	17.2843i	−0.856766	−	0.622477i
$772$	−21.1509	−	2.22305i	−0.761238	−	0.0800093i
$773$	−2.26695	+	2.04117i	−0.0815367	+	0.0734159i	−0.708891	−	0.705318i	$-0.750804\pi$
$773$	−2.26695	+	2.04117i	−0.0815367	+	0.0734159i	0.627355	+	0.778734i	$0.284138\pi$
$774$	4.37055	−	7.57002i	0.157096	−	0.272099i
$775$	−28.8886	−	34.0914i	−1.03771	−	1.22460i
$776$	18.7523			0.673170
$777$	−5.01123	+	27.5941i	−0.179777	+	0.989932i
$778$	−9.66699	+	13.3055i	−0.346578	+	0.477024i
$779$	−2.17222	+	20.6673i	−0.0778279	+	0.740483i
$780$	1.80718	−	15.0189i	0.0647075	−	0.537762i
$781$	0.478137	+	4.54917i	0.0171091	+	0.162782i
$782$	−4.30528	+	2.48566i	−0.153957	+	0.0888869i
$783$	0.387104	+	0.532803i	0.0138340	+	0.0190408i
$784$	2.89432	−	5.78334i	0.103369	−	0.206548i
$785$	4.12418	−	18.0632i	0.147198	−	0.644705i
$786$	5.32895	−	1.13270i	0.190077	−	0.0404022i
$787$	−4.70423	+	22.1317i	−0.167688	+	0.788908i	0.811242	+	0.584711i	$0.198792\pi$
$787$	−4.70423	+	22.1317i	−0.167688	+	0.788908i	−0.978930	+	0.204198i	$0.934541\pi$
$788$	5.62481	−	26.4626i	0.200375	−	0.942692i
$789$	12.5291	−	2.66314i	0.446047	−	0.0948103i
$790$	−4.04489	−	9.46536i	−0.143911	−	0.336762i
$791$	31.7748	−	15.2970i	1.12978	−	0.543897i
$792$	−5.04424	−	6.94280i	−0.179239	−	0.246702i
$793$	−1.55023	+	0.895025i	−0.0550503	+	0.0317833i
$794$	−1.25777	−	11.9669i	−0.0446367	−	0.424690i
$795$	−12.3880	−	5.74014i	−0.439357	−	0.203582i
$796$	0.977282	−	9.29821i	0.0346388	−	0.329566i
$797$	3.01877	−	4.15498i	0.106930	−	0.147177i	−0.752198	−	0.658937i	$-0.771006\pi$
$797$	3.01877	−	4.15498i	0.106930	−	0.147177i	0.859128	+	0.511760i	$0.171006\pi$
$798$	−9.23010	+	3.30612i	−0.326742	+	0.117035i
$799$	−46.0832			−1.63031
$800$	29.2305	−	2.18630i	1.03345	−	0.0772973i
$801$	−0.911910	+	1.57947i	−0.0322207	+	0.0558080i
$802$	−0.890195	+	0.801535i	−0.0314339	+	0.0283032i
$803$	−33.1927	−	3.48869i	−1.17135	−	0.123113i
$804$	−15.4745	−	11.2429i	−0.545744	−	0.396507i
$805$	−5.76143	+	4.31727i	−0.203064	+	0.152164i
$806$	−25.6657	+	18.6472i	−0.904035	+	0.656820i
$807$	−4.09906	+	2.36659i	−0.144294	+	0.0833080i
$808$	−33.2696	+	3.49677i	−1.17042	+	0.123016i
$809$	38.6546	+	8.21629i	1.35902	+	0.288869i	0.829064	−	0.559153i	$-0.188874\pi$
$809$	38.6546	+	8.21629i	1.35902	+	0.288869i	0.529960	+	0.848023i	$0.322207\pi$
$810$	0.968323	+	1.37581i	0.0340234	+	0.0483409i
$811$	−9.44127	+	29.0572i	−0.331528	+	1.02034i	0.636879	+	0.770963i	$0.280225\pi$
$811$	−9.44127	+	29.0572i	−0.331528	+	1.02034i	−0.968407	+	0.249374i	$0.919775\pi$
$812$	2.49148	+	0.187031i	0.0874337	+	0.00656349i
$813$	10.0449	−	3.26380i	0.352292	−	0.114466i
$814$	25.9123	−	5.50783i	0.908226	−	0.193049i
$815$	8.46470	−	18.2680i	0.296505	−	0.639899i
$816$	−4.90655	−	1.04292i	−0.171764	−	0.0365095i
$817$	23.2733	−	52.2726i	0.814229	−	1.82879i
$818$			4.83699i			0.169121i
$819$	3.50198	−	11.9813i	0.122369	−	0.418659i
$820$	6.93961	−	11.6131i	0.242342	−	0.405545i
$821$	1.90026	−	18.0797i	0.0663194	−	0.630987i	−0.909993	−	0.414623i	$-0.863914\pi$
$821$	1.90026	−	18.0797i	0.0663194	−	0.630987i	0.976313	−	0.216364i	$-0.0694198\pi$
$822$	−3.37660	−	7.58396i	−0.117772	−	0.264521i
$823$	30.7440	−	27.6820i	1.07167	−	0.964935i	0.0721957	−	0.997390i	$-0.476999\pi$
$823$	30.7440	−	27.6820i	1.07167	−	0.964935i	0.999473	+	0.0324555i	$0.0103327\pi$
$824$	−3.56040	−	6.16680i	−0.124033	−	0.214831i
$825$	−2.96310	−	16.3414i	−0.103162	−	0.568934i
$826$	−1.49210	−	11.0257i	−0.0519169	−	0.383634i
$827$	−15.0718	−	4.89713i	−0.524099	−	0.170290i	0.0350059	−	0.999387i	$-0.488855\pi$
$827$	−15.0718	−	4.89713i	−0.524099	−	0.170290i	−0.559105	+	0.829097i	$0.688855\pi$
$828$	1.73541	+	0.182399i	0.0603097	+	0.00633881i
$829$	−33.4347	+	14.8861i	−1.16124	+	0.517016i	−0.894638	−	0.446792i	$-0.852566\pi$
$829$	−33.4347	+	14.8861i	−1.16124	+	0.517016i	−0.266599	+	0.963808i	$0.585900\pi$
$830$	−3.63485	−	1.68425i	−0.126167	−	0.0584613i
$831$	16.5914	+	7.38696i	0.575549	+	0.256251i
$832$		−	12.0926i		−	0.419235i
$833$	35.3825	−	13.8762i	1.22593	−	0.480781i
$834$	−0.135843	−	0.418082i	−0.00470386	−	0.0144770i
$835$	−7.48782	+	9.98690i	−0.259127	+	0.345611i
$836$	−15.6963	−	17.4325i	−0.542868	−	0.602916i
$837$	−1.85812	+	8.74177i	−0.0642260	+	0.302160i
$838$	11.3300	+	10.2016i	0.391390	+	0.352409i
$839$	6.50732	−	20.0275i	0.224658	−	0.691425i	−0.773668	−	0.633591i	$-0.781580\pi$
$839$	6.50732	−	20.0275i	0.224658	−	0.691425i	0.998326	−	0.0578347i	$-0.0184196\pi$
$840$	15.2233	+	1.37318i	0.525253	+	0.0473793i
$841$	−8.82746	−	27.1681i	−0.304395	−	0.936832i
$842$	−8.56287	+	19.2325i	−0.295096	+	0.662797i
$843$	25.1840	+	14.5400i	0.867381	+	0.500783i
$844$	−1.88597	−	17.9438i	−0.0649179	−	0.617652i
$845$	−16.5652	−	12.4200i	−0.569860	−	0.427261i
$846$	−5.16642	−	3.75363i	−0.177625	−	0.129052i
$847$	0.00258677	+	0.0868016i	8.88826e−5	+	0.00298254i
$848$	5.36504	+	1.74321i	0.184236	+	0.0598620i
$849$	8.22989	+	14.2546i	0.282449	+	0.489216i
$850$	16.1562	+	12.4971i	0.554154	+	0.428647i
$851$	−6.44988	+	11.1715i	−0.221099	+	0.382955i
$852$	0.410557	+	1.93152i	0.0140654	+	0.0661727i
$853$	2.59031	−	3.56526i	0.0886906	−	0.122072i	−0.762366	−	0.647146i	$-0.775962\pi$
$853$	2.59031	−	3.56526i	0.0886906	−	0.122072i	0.851057	+	0.525074i	$0.175962\pi$
$854$	−0.396954	−	0.642549i	−0.0135835	−	0.0219876i
$855$	7.24533	+	8.29415i	0.247785	+	0.283654i
$856$	15.0614	+	6.70578i	0.514789	+	0.229199i
$857$	46.3047	+	26.7340i	1.58174	+	0.913216i	0.994606	+	0.103725i	$0.0330760\pi$
$857$	46.3047	+	26.7340i	1.58174	+	0.913216i	0.587131	+	0.809492i	$0.300257\pi$
$858$	−11.7262	+	1.23248i	−0.400327	+	0.0420760i
$859$	26.5142	−	29.4470i	0.904652	−	1.00472i	−0.0953048	−	0.995448i	$-0.530383\pi$
$859$	26.5142	−	29.4470i	0.904652	−	1.00472i	0.999957	−	0.00926999i	$-0.00295077\pi$
$860$	−28.0536	+	24.5061i	−0.956619	+	0.835652i
$861$	7.21932	−	8.51482i	0.246034	−	0.290184i
$862$	19.9441	−	6.48023i	0.679299	−	0.220718i
$863$	5.00660	+	4.50797i	0.170427	+	0.153453i	0.749930	−	0.661517i	$-0.230087\pi$
$863$	5.00660	+	4.50797i	0.170427	+	0.153453i	−0.579504	+	0.814970i	$0.696754\pi$
$864$	−3.92273	−	4.35663i	−0.133454	−	0.148216i
$865$	27.7962	−	15.4958i	0.945099	−	0.526873i
$866$	2.64422	−	2.93671i	0.0898544	−	0.0997934i
$867$	−7.33499	−	10.0957i	−0.249109	−	0.342869i
$868$	20.7371	+	26.8239i	0.703862	+	0.910462i
$869$	16.4410	−	11.9451i	0.557724	−	0.405210i
$870$	0.326513	+	1.05880i	0.0110698	+	0.0358966i
$871$	−57.4943	+	25.5981i	−1.94812	+	0.867359i
$872$	−16.6644	−	37.4289i	−0.564329	−	1.26750i
$873$	−1.50904	−	7.09947i	−0.0510733	−	0.240281i
$874$	−4.50960			−0.152540
$875$	25.3880	+	15.1805i	0.858273	+	0.513194i
$876$	−14.4080			−0.486802
$877$	1.61399	+	7.59321i	0.0545004	+	0.256404i	0.996960	−	0.0779160i	$-0.0248266\pi$
$877$	1.61399	+	7.59321i	0.0545004	+	0.256404i	−0.942459	+	0.334320i	$0.891493\pi$
$878$	−0.945492	−	2.12361i	−0.0319088	−	0.0716683i
$879$	20.7288	−	9.22906i	0.699165	−	0.311288i
$880$	2.02211	+	6.55718i	0.0681652	+	0.221042i
$881$	−16.4292	+	11.9365i	−0.553514	+	0.402151i	−0.829079	−	0.559131i	$-0.811135\pi$
$881$	−16.4292	+	11.9365i	−0.553514	+	0.402151i	0.275566	+	0.961282i	$0.411135\pi$
$882$	5.09702	+	1.32635i	0.171626	+	0.0446605i
$883$	15.6171	+	21.4951i	0.525556	+	0.723366i	0.986445	−	0.164092i	$-0.0524693\pi$
$883$	15.6171	+	21.4951i	0.525556	+	0.723366i	−0.460889	+	0.887458i	$0.652469\pi$
$884$	−24.5777	+	27.2963i	−0.826638	+	0.918075i
$885$	−10.9162	+	6.08557i	−0.366945	+	0.204564i
$886$	20.5709	+	22.8462i	0.691091	+	0.767535i
$887$	−2.72697	−	2.45537i	−0.0915627	−	0.0824434i	0.622078	−	0.782955i	$-0.286289\pi$
$887$	−2.72697	−	2.45537i	−0.0915627	−	0.0824434i	−0.713641	+	0.700512i	$0.752955\pi$
$888$	26.0467	−	8.46309i	0.874070	−	0.284003i
$889$	12.9931	+	2.35961i	0.435773	+	0.0791387i
$890$	−2.31087	+	2.01866i	−0.0774606	+	0.0676655i
$891$	−2.22256	+	2.46841i	−0.0744587	+	0.0826947i
$892$	−31.7874	+	3.34099i	−1.06432	+	0.111865i
$893$	−36.2027	−	20.9016i	−1.21148	−	0.699446i
$894$	0.592712	+	0.263893i	0.0198233	+	0.00882589i
$895$	−18.7779	−	21.4961i	−0.627676	−	0.718537i
$896$	−25.9073	+	0.772063i	−0.865502	+	0.0257928i
$897$	3.37475	−	4.64495i	0.112680	−	0.155090i
$898$	−4.55229	−	21.4168i	−0.151912	−	0.714688i
$899$	−2.94289	+	5.09723i	−0.0981508	+	0.170002i
$900$	−2.00954	−	6.88212i	−0.0669846	−	0.229404i
$901$	16.5759	+	28.7104i	0.552225	+	0.956481i
$902$	−10.0286	−	3.25850i	−0.333917	−	0.108496i
$903$	−26.1499	+	16.1549i	−0.870214	+	0.537601i
$904$	−27.8605	−	20.2419i	−0.926627	−	0.673234i
$905$	−25.6673	−	19.2444i	−0.853210	−	0.639706i
$906$	0.0451512	+	0.429585i	0.00150005	+	0.0142720i
$907$	22.2854	+	12.8665i	0.739975	+	0.427225i	0.822060	−	0.569401i	$-0.192825\pi$
$907$	22.2854	+	12.8665i	0.739975	+	0.427225i	−0.0820854	+	0.996625i	$0.526158\pi$
$908$	−16.4175	+	36.8744i	−0.544835	+	1.22372i
$909$	4.00112	+	12.3142i	0.132709	+	0.408436i
$910$	12.0918	−	17.1703i	0.400839	−	0.569190i
$911$	−7.19858	+	22.1549i	−0.238500	+	0.734026i	0.758138	+	0.652094i	$0.226109\pi$
$911$	−7.19858	+	22.1549i	−0.238500	+	0.734026i	−0.996638	+	0.0819324i	$0.973891\pi$
$912$	−3.38152	−	3.04474i	−0.111973	−	0.100821i
$913$	1.64442	−	7.73640i	0.0544224	−	0.256037i
$914$	−10.9260	−	12.1346i	−0.361400	−	0.401375i
$915$	−0.508932	+	0.678789i	−0.0168248	+	0.0224401i
$916$	1.71340	+	5.27332i	0.0566125	+	0.174235i
$917$	−18.3882	−	5.37465i	−0.607231	−	0.177487i
$918$		−	4.08510i		−	0.134828i
$919$	20.7090	+	9.22026i	0.683128	+	0.304148i	0.718802	−	0.695215i	$-0.244691\pi$
$919$	20.7090	+	9.22026i	0.683128	+	0.304148i	−0.0356735	+	0.999363i	$0.511358\pi$
$920$	6.37899	+	2.95579i	0.210309	+	0.0974495i
$921$	25.9374	−	11.5481i	0.854666	−	0.380522i
$922$	−13.6185	−	1.43136i	−0.448501	−	0.0471394i
$923$	6.17925	+	2.00776i	0.203392	+	0.0660862i
$924$	1.68990	+	12.4874i	0.0555938	+	0.410804i
$925$	52.5202	+	7.12202i	1.72685	+	0.234171i
$926$	−2.95320	−	5.11509i	−0.0970482	−	0.168092i
$927$	−2.04818	+	1.84419i	−0.0672712	+	0.0605713i
$928$	−1.57036	−	3.52709i	−0.0515496	−	0.115782i
$929$	−3.89895	+	37.0960i	−0.127920	+	1.21708i	0.722648	+	0.691216i	$0.242925\pi$
$929$	−3.89895	+	37.0960i	−0.127920	+	1.21708i	−0.850569	+	0.525864i	$0.823742\pi$
$930$	−7.71276	+	12.9069i	−0.252911	+	0.423233i
$931$	34.0900	+	5.14715i	1.11725	+	0.168691i
$932$		−	17.3495i		−	0.568301i
$933$	9.61591	−	21.5977i	0.314811	−	0.707077i
$934$	2.43913	+	0.518453i	0.0798107	+	0.0169643i
$935$	−16.9539	+	36.5889i	−0.554453	+	1.19659i
$936$	−11.9232	+	2.53435i	−0.389722	+	0.0828379i
$937$	−1.68629	+	0.547909i	−0.0550887	+	0.0178994i	−0.336432	−	0.941708i	$-0.609220\pi$
$937$	−1.68629	+	0.547909i	−0.0550887	+	0.0178994i	0.281343	+	0.959607i	$0.409220\pi$
$938$	−11.5184	−	23.9261i	−0.376090	−	0.781214i
$939$	−6.15925	+	18.9562i	−0.201000	+	0.618613i
$940$	15.6632	+	22.2545i	0.510877	+	0.725861i
$941$	6.16042	+	1.30944i	0.200824	+	0.0426865i	0.307225	−	0.951637i	$-0.400599\pi$
$941$	6.16042	+	1.30944i	0.200824	+	0.0426865i	−0.106401	+	0.994323i	$0.533933\pi$
$942$	−6.20020	+	0.651667i	−0.202013	+	0.0212325i
$943$	4.44678	−	2.56735i	0.144807	−	0.0836044i
$944$	4.17759	−	3.03520i	0.135969	−	0.0987873i
$945$	−0.705173	−	5.87390i	−0.0229393	−	0.191078i
$946$	23.4891	+	17.0659i	0.763698	+	0.554859i
$947$	51.4452	+	5.40711i	1.67174	+	0.175707i	0.892511	−	0.451026i	$-0.148942\pi$
$947$	51.4452	+	5.40711i	1.67174	+	0.175707i	0.779234	+	0.626733i	$0.215608\pi$
$948$	6.51960	−	5.87028i	0.211747	−	0.190658i
$949$	−23.7033	+	41.0554i	−0.769443	+	1.33271i
$950$	7.02400	+	17.1455i	0.227889	+	0.556273i
$951$	−6.49360			−0.210570
$952$	−28.3087	−	24.0016i	−0.917490	−	0.777896i
$953$	11.4253	−	15.7256i	0.370102	−	0.509402i	−0.582827	−	0.812597i	$-0.698053\pi$
$953$	11.4253	−	15.7256i	0.370102	−	0.509402i	0.952929	+	0.303195i	$0.0980533\pi$
$954$	−0.480211	+	4.56890i	−0.0155474	+	0.147924i
$955$	36.2068	+	16.7769i	1.17162	+	0.542887i
$956$	2.55366	+	24.2964i	0.0825912	+	0.785803i
$957$	−1.89445	+	1.09376i	−0.0612388	+	0.0353562i
$958$	−15.5828	−	21.4479i	−0.503458	−	0.692950i
$959$	−2.18527	+	29.1104i	−0.0705659	+	0.940025i
$960$	−2.25215	−	5.27021i	−0.0726878	−	0.170095i
$961$	−47.8031	+	10.1609i	−1.54204	+	0.327770i
$962$	7.82334	−	36.8059i	0.252235	−	1.18667i
$963$	1.32673	−	6.24175i	0.0427531	−	0.201138i
$964$	10.9510	−	2.32770i	0.352707	−	0.0749702i
$965$	−7.38223	+	32.3330i	−0.237642	+	1.04083i
$966$	2.00139	+	1.36490i	0.0643936	+	0.0439149i
$967$	7.94174	+	10.9309i	0.255389	+	0.351513i	0.917390	−	0.397990i	$-0.130292\pi$
$967$	7.94174	+	10.9309i	0.255389	+	0.351513i	−0.662000	+	0.749504i	$0.730292\pi$
$968$	0.0734405	−	0.0424009i	0.00236047	−	0.00136282i
$969$	−2.79521	−	26.5947i	−0.0897951	−	0.854344i
$970$	1.45880	−	12.1236i	0.0468392	−	0.389265i
$971$	−1.26880	+	12.0718i	−0.0407177	+	0.387403i	0.955117	+	0.296228i	$0.0957290\pi$
$971$	−1.26880	+	12.0718i	−0.0407177	+	0.387403i	−0.995835	+	0.0911751i	$0.970938\pi$
$972$	−0.842826	+	1.16005i	−0.0270337	+	0.0372087i
$973$	−0.276211	+	1.52094i	−0.00885491	+	0.0487591i
$974$	0.328099			0.0105130
$975$	−22.9165	−	5.59597i	−0.733914	−	0.179215i
$976$	0.175265	−	0.303568i	0.00561011	−	0.00971699i
$977$	27.2487	−	24.5348i	0.871763	−	0.784939i	−0.106063	−	0.994359i	$-0.533824\pi$
$977$	27.2487	−	24.5348i	0.871763	−	0.784939i	0.977826	+	0.209421i	$0.0671578\pi$
$978$	−6.73753	−	0.708143i	−0.215442	−	0.0226439i
$979$	−4.90098	−	3.56077i	−0.156636	−	0.113803i
$980$	−18.7272	−	12.3705i	−0.598219	−	0.395162i
$981$	−12.8293	+	9.32100i	−0.409606	+	0.297597i
$982$	−6.19768	+	3.57823i	−0.197776	+	0.114186i
$983$	36.5509	−	3.84166i	1.16579	−	0.122530i	0.498204	−	0.867060i	$-0.333993\pi$
$983$	36.5509	−	3.84166i	1.16579	−	0.122530i	0.667589	+	0.744530i	$0.267326\pi$
$984$	−10.6631	−	2.26652i	−0.339928	−	0.0722539i
$985$	−39.9232	−	13.6386i	−1.27206	−	0.434562i
$986$	0.831368	−	2.55869i	0.0264762	−	0.0814852i
$987$	9.74078	+	20.2335i	0.310052	+	0.644041i
$988$	−31.6887	+	10.2963i	−1.00815	+	0.327568i
$989$	−13.8291	+	2.93946i	−0.439740	+	0.0934695i
$990$	−4.88100	+	2.72105i	−0.155128	+	0.0864808i
$991$	19.3275	+	4.10819i	0.613959	+	0.130501i	0.504387	−	0.863478i	$-0.331719\pi$
$991$	19.3275	+	4.10819i	0.613959	+	0.130501i	0.109572	+	0.993979i	$0.465052\pi$
$992$	21.3101	−	47.8632i	0.676596	−	1.51966i
$993$			18.5033i			0.587185i
$994$	−0.769095	+	2.63129i	−0.0243942	+	0.0834593i
$995$	−14.2140	−	3.24533i	−0.450614	−	0.102884i
$996$	0.356899	−	3.39567i	0.0113088	−	0.107596i
$997$	−1.87873	−	4.21969i	−0.0594999	−	0.133639i	0.881349	−	0.472467i	$-0.156636\pi$
$997$	−1.87873	−	4.21969i	−0.0594999	−	0.133639i	−0.940848	+	0.338828i	$0.889970\pi$
$998$	3.00713	−	2.70764i	0.0951892	−	0.0857087i
$999$	−5.30008	−	9.18002i	−0.167687	−	0.290443i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bo.a.4.16	✓	320
7.2	even	3	inner	525.2.bo.a.79.16	yes	320
25.19	even	10	inner	525.2.bo.a.319.16	yes	320
175.44	even	30	inner	525.2.bo.a.394.16	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bo.a.4.16	✓	320	1.1	even	1	trivial
525.2.bo.a.79.16	yes	320	7.2	even	3	inner
525.2.bo.a.319.16	yes	320	25.19	even	10	inner
525.2.bo.a.394.16	yes	320	175.44	even	30	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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.156432 - 0.735953i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(1.30993 - 0.583221i) q^{4} +(-0.658939 - 2.13677i) q^{5} +(-0.608700 + 0.442247i) q^{6} +(2.62185 - 0.354813i) q^{7} +(-1.51863 - 2.09022i) q^{8} +(-0.669131 + 0.743145i) q^{9} +O(q^{10})\)	\(q+(-0.156432 - 0.735953i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(1.30993 - 0.583221i) q^{4} +(-0.658939 - 2.13677i) q^{5} +(-0.608700 + 0.442247i) q^{6} +(2.62185 - 0.354813i) q^{7} +(-1.51863 - 2.09022i) q^{8} +(-0.669131 + 0.743145i) q^{9} +(-1.46949 + 0.819207i) q^{10} +(-2.22256 - 2.46841i) q^{11} +(-1.06560 - 0.959468i) q^{12} +(-4.48705 + 1.45793i) q^{13} +(-0.671266 - 1.87406i) q^{14} +(-1.68402 + 1.47107i) q^{15} +(0.618196 - 0.686576i) q^{16} +(5.39972 - 0.567533i) q^{17} +(0.651593 + 0.376197i) q^{18} +(4.49939 + 2.00326i) q^{19} +(-2.10938 - 2.41473i) q^{20} +(-1.39054 - 2.25087i) q^{21} +(-1.46895 + 2.02184i) q^{22} +(-0.253016 - 1.19035i) q^{23} +(-1.29183 + 2.23751i) q^{24} +(-4.13160 + 2.81601i) q^{25} +(1.77489 + 3.07419i) q^{26} +(0.951057 + 0.309017i) q^{27} +(3.22752 - 1.99390i) q^{28} +(0.532803 + 0.387104i) q^{29} +(1.34608 + 1.00924i) q^{30} +(0.934177 + 8.88810i) q^{31} +(-5.07701 - 2.93121i) q^{32} +(-1.35100 + 3.03440i) q^{33} +(-1.26236 - 3.88516i) q^{34} +(-2.48580 - 5.36850i) q^{35} +(-0.443100 + 1.36372i) q^{36} +(-7.87746 - 7.09290i) q^{37} +(0.770457 - 3.62471i) q^{38} +(3.15693 + 3.50613i) q^{39} +(-3.46563 + 4.62230i) q^{40} +(1.30385 + 4.01285i) q^{41} +(-1.43901 + 1.37548i) q^{42} -11.6177i q^{43} +(-4.35104 - 1.93721i) q^{44} +(2.02885 + 0.940093i) q^{45} +(-0.836459 + 0.372416i) q^{46} +(-8.44114 - 0.887199i) q^{47} +(-0.878661 - 0.285494i) q^{48} +(6.74822 - 1.86053i) q^{49} +(2.71876 + 2.60015i) q^{50} +(-2.71473 - 4.70205i) q^{51} +(-5.02745 + 4.52673i) q^{52} +(2.48350 + 5.57804i) q^{53} +(0.0786467 - 0.748273i) q^{54} +(-3.80989 + 6.37564i) q^{55} +(-4.72326 - 4.94141i) q^{56} -4.92520i q^{57} +(0.201543 - 0.452673i) q^{58} +(5.46711 + 1.16207i) q^{59} +(-1.34800 + 2.90917i) q^{60} +(0.371121 - 0.0788841i) q^{61} +(6.39509 - 2.07789i) q^{62} +(-1.49068 + 2.18583i) q^{63} +(-0.792041 + 2.43765i) q^{64} +(6.07196 + 8.62712i) q^{65} +(2.44452 + 0.519599i) q^{66} +(13.2664 - 1.39436i) q^{67} +(6.74228 - 3.89266i) q^{68} +(-0.984524 + 0.715299i) q^{69} +(-3.56211 + 2.66923i) q^{70} +(-1.11412 - 0.809456i) q^{71} +(2.56950 + 0.270065i) q^{72} +(7.46721 - 6.72351i) q^{73} +(-3.98776 + 6.90700i) q^{74} +(4.25302 + 2.62903i) q^{75} +7.06225 q^{76} +(-6.70306 - 5.68320i) q^{77} +(2.08650 - 2.87183i) q^{78} +(-0.639533 + 6.08475i) q^{79} +(-1.87441 - 0.868532i) q^{80} +(-0.104528 - 0.994522i) q^{81} +(2.74930 - 1.58731i) q^{82} +(1.39962 + 1.92641i) q^{83} +(-3.13427 - 2.13749i) q^{84} +(-4.77077 - 11.1640i) q^{85} +(-8.55009 + 1.81738i) q^{86} +(0.136927 - 0.644189i) q^{87} +(-1.78425 + 8.39424i) q^{88} +(1.78396 - 0.379193i) q^{89} +(0.374488 - 1.64020i) q^{90} +(-11.2471 + 5.41454i) q^{91} +(-1.02567 - 1.41171i) q^{92} +(7.73972 - 4.46853i) q^{93} +(0.667524 + 6.35107i) q^{94} +(1.31568 - 10.9342i) q^{95} +(-0.612790 + 5.83031i) q^{96} +(-4.26619 + 5.87191i) q^{97} +(-2.42490 - 4.67532i) q^{98} +3.32157 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) \) 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9	\( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) \) 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9 + 4 * q^10 - 6 * q^11 + 12 * q^14 + 4 * q^15 + 40 * q^16 - 20 * q^17 + 16 * q^19 + 8 * q^20 + 40 * q^22 - 60 * q^23 - 48 * q^24 + 4 * q^25 - 30 * q^28 + 24 * q^29 - 48 * q^30 - 30 * q^31 - 80 * q^36 + 30 * q^38 - 32 * q^40 + 36 * q^41 + 10 * q^42 - 16 * q^44 + 2 * q^45 + 32 * q^46 + 16 * q^49 - 140 * q^50 + 190 * q^52 - 60 * q^53 + 4 * q^54 - 8 * q^55 + 60 * q^58 + 24 * q^59 - 46 * q^60 - 20 * q^61 + 120 * q^62 + 10 * q^63 - 4 * q^64 - 30 * q^65 - 16 * q^66 - 60 * q^67 - 32 * q^69 - 76 * q^70 + 32 * q^71 - 30 * q^72 - 40 * q^73 - 12 * q^74 - 8 * q^75 - 344 * q^76 + 4 * q^79 - 52 * q^80 + 40 * q^81 - 80 * q^83 + 48 * q^84 - 76 * q^85 + 24 * q^86 - 200 * q^88 - 52 * q^90 + 26 * q^91 + 180 * q^92 + 16 * q^94 - 38 * q^95 - 58 * q^96 - 140 * q^97 + 360 * q^98 + 8 * q^99

Introduction

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