LMFDB - Embedded newform 930.2.bo.b.179.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.1
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.b.239.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-1.72309 + 0.175914i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.22856 + 0.183115i) q^{5} +(0.699770 + 1.58440i) q^{6} +(0.318388 - 0.715111i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.93811 - 0.606234i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.72309 + 0.175914i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.22856 + 0.183115i) q^{5} +(0.699770 + 1.58440i) q^{6} +(0.318388 - 0.715111i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.93811 - 0.606234i) q^{9} +(0.862815 + 2.06290i) q^{10} +(-0.402387 - 3.82845i) q^{11} +(1.29061 - 1.15513i) q^{12} +(-1.66928 - 1.85392i) q^{13} +(-0.778498 - 0.0818234i) q^{14} +(3.80780 - 0.707560i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-3.59563 - 0.377916i) q^{17} +(-1.48449 - 2.60697i) q^{18} +(1.23396 - 1.37046i) q^{19} +(1.69531 - 1.45806i) q^{20} +(-0.422814 + 1.28821i) q^{21} +(-3.51673 + 1.56575i) q^{22} +(-4.03328 + 5.55134i) q^{23} +(-1.49741 - 0.870492i) q^{24} +(4.93294 - 0.816165i) q^{25} +(-1.24735 + 2.16047i) q^{26} +(-4.95599 + 1.56145i) q^{27} +(0.162750 + 0.765680i) q^{28} +(-1.50590 - 4.63469i) q^{29} +(-1.84960 - 3.40279i) q^{30} +(4.10598 + 3.76044i) q^{31} -1.00000 q^{32} +(1.36683 + 6.52600i) q^{33} +(0.751691 + 3.53643i) q^{34} +(-0.578598 + 1.65197i) q^{35} +(-2.02064 + 2.21743i) q^{36} +(2.63315 + 4.56075i) q^{37} +(-1.68470 - 0.750075i) q^{38} +(3.20245 + 2.90083i) q^{39} +(-1.91057 - 1.16177i) q^{40} +(-1.59923 + 7.52377i) q^{41} +(1.35582 + 0.00404060i) q^{42} +(-5.98025 + 6.64174i) q^{43} +(2.57585 + 2.86077i) q^{44} +(-6.43673 + 1.88904i) q^{45} +(6.52599 + 2.12042i) q^{46} +(2.79382 - 8.59849i) q^{47} +(-0.365161 + 1.69312i) q^{48} +(4.27390 + 4.74665i) q^{49} +(-2.30058 - 4.43929i) q^{50} +(6.26209 + 0.0186622i) q^{51} +(2.44018 + 0.518677i) q^{52} +(3.31260 + 7.44023i) q^{53} +(3.01652 + 4.23091i) q^{54} +(1.59779 + 8.45825i) q^{55} +(0.677913 - 0.391393i) q^{56} +(-1.88515 + 2.57850i) q^{57} +(-3.94250 + 2.86440i) q^{58} +(-0.995997 - 4.68580i) q^{59} +(-2.66468 + 2.81060i) q^{60} +4.37433i q^{61} +(2.30758 - 5.06706i) q^{62} +(0.501934 - 2.29409i) q^{63} +(0.309017 + 0.951057i) q^{64} +(4.05956 + 3.82590i) q^{65} +(5.78422 - 3.31658i) q^{66} +(1.21061 + 0.698948i) q^{67} +(3.13106 - 1.80772i) q^{68} +(5.97317 - 10.2750i) q^{69} +(1.74991 + 0.0397935i) q^{70} +(2.80277 + 6.29512i) q^{71} +(2.73331 + 1.23652i) q^{72} +(0.874246 + 8.31790i) q^{73} +(3.52385 - 3.91363i) q^{74} +(-8.35634 + 2.27410i) q^{75} +(-0.192764 + 1.83403i) q^{76} +(-2.86588 - 0.931182i) q^{77} +(1.76924 - 3.94212i) q^{78} +(-14.5205 - 1.52616i) q^{79} +(-0.514509 + 2.17607i) q^{80} +(8.26496 - 3.56236i) q^{81} +(7.64972 - 0.804018i) q^{82} +(1.54644 - 7.27543i) q^{83} +(-0.415128 - 1.29071i) q^{84} +(8.08227 + 0.183793i) q^{85} +(8.16467 + 3.63515i) q^{86} +(3.41012 + 7.72110i) q^{87} +(1.92477 - 3.33380i) q^{88} +(-9.99308 + 7.26040i) q^{89} +(3.78564 + 5.53795i) q^{90} +(-1.85724 + 0.603453i) q^{91} -6.86183i q^{92} +(-7.73651 - 5.75730i) q^{93} -9.04099 q^{94} +(-2.49901 + 3.28010i) q^{95} +(1.72309 - 0.175914i) q^{96} +(-1.01105 - 1.39159i) q^{97} +(3.19362 - 5.53152i) q^{98} +(-3.50319 - 11.0045i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

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 $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−1.72309	+	0.175914i	−0.994829	+	0.101564i
$3$	−1.72309	+	0.175914i	−0.994829	+	0.101564i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−2.22856	+	0.183115i	−0.996641	+	0.0818916i
$5$	−2.22856	+	0.183115i	−0.996641	+	0.0818916i
$6$	0.699770	+	1.58440i	0.285680	+	0.646828i
$7$	0.318388	−	0.715111i	0.120339	−	0.270286i	−0.843324	−	0.537405i	$-0.819405\pi$
$7$	0.318388	−	0.715111i	0.120339	−	0.270286i	0.963664	+	0.267118i	$0.0860714\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	2.93811	−	0.606234i	0.979369	−	0.202078i
$10$	0.862815	+	2.06290i	0.272846	+	0.652346i
$11$	−0.402387	−	3.82845i	−0.121324	−	1.15432i	−0.870575	−	0.492036i	$-0.836253\pi$
$11$	−0.402387	−	3.82845i	−0.121324	−	1.15432i	0.749251	−	0.662286i	$-0.230414\pi$
$12$	1.29061	−	1.15513i	0.372568	−	0.333456i
$13$	−1.66928	−	1.85392i	−0.462974	−	0.514185i	0.465770	−	0.884906i	$-0.345777\pi$
$13$	−1.66928	−	1.85392i	−0.462974	−	0.514185i	−0.928744	+	0.370721i	$0.879111\pi$
$14$	−0.778498	−	0.0818234i	−0.208062	−	0.0218682i
$15$	3.80780	−	0.707560i	0.983170	−	0.182691i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−3.59563	−	0.377916i	−0.872068	−	0.0916581i	−0.342088	−	0.939668i	$-0.611134\pi$
$17$	−3.59563	−	0.377916i	−0.872068	−	0.0916581i	−0.529980	+	0.848010i	$0.677801\pi$
$18$	−1.48449	−	2.60697i	−0.349897	−	0.614469i
$19$	1.23396	−	1.37046i	0.283091	−	0.314404i	−0.584782	−	0.811190i	$-0.698820\pi$
$19$	1.23396	−	1.37046i	0.283091	−	0.314404i	0.867873	+	0.496786i	$0.165487\pi$
$20$	1.69531	−	1.45806i	0.379083	−	0.326031i
$21$	−0.422814	+	1.28821i	−0.0922656	+	0.281111i
$22$	−3.51673	+	1.56575i	−0.749770	+	0.333819i
$23$	−4.03328	+	5.55134i	−0.840998	+	1.15753i	0.144778	+	0.989464i	$0.453753\pi$
$23$	−4.03328	+	5.55134i	−0.840998	+	1.15753i	−0.985775	+	0.168070i	$0.946247\pi$
$24$	−1.49741	−	0.870492i	−0.305658	−	0.177688i
$25$	4.93294	−	0.816165i	0.986588	−	0.163233i
$26$	−1.24735	+	2.16047i	−0.244625	+	0.423703i
$27$	−4.95599	+	1.56145i	−0.953781	+	0.300502i
$28$	0.162750	+	0.765680i	0.0307569	+	0.144700i
$29$	−1.50590	−	4.63469i	−0.279639	−	0.860640i	−0.987955	−	0.154744i	$-0.950545\pi$
$29$	−1.50590	−	4.63469i	−0.279639	−	0.860640i	0.708316	−	0.705896i	$-0.249455\pi$
$30$	−1.84960	−	3.40279i	−0.337690	−	0.621261i
$31$	4.10598	+	3.76044i	0.737456	+	0.675395i
$31$	4.10598	+	3.76044i	0.737456	+	0.675395i
$32$	−1.00000			−0.176777
$33$	1.36683	+	6.52600i	0.237935	+	1.13603i
$34$	0.751691	+	3.53643i	0.128914	+	0.606493i
$35$	−0.578598	+	1.65197i	−0.0978009	+	0.279233i
$36$	−2.02064	+	2.21743i	−0.336774	+	0.369572i
$37$	2.63315	+	4.56075i	0.432888	+	0.749783i	0.997121	−	0.0758323i	$-0.0241614\pi$
$37$	2.63315	+	4.56075i	0.432888	+	0.749783i	−0.564233	+	0.825616i	$0.690828\pi$
$38$	−1.68470	−	0.750075i	−0.273294	−	0.121678i
$39$	3.20245	+	2.90083i	0.512803	+	0.464505i
$40$	−1.91057	−	1.16177i	−0.302088	−	0.183692i
$41$	−1.59923	+	7.52377i	−0.249757	+	1.17502i	0.657175	+	0.753738i	$0.271751\pi$
$41$	−1.59923	+	7.52377i	−0.249757	+	1.17502i	−0.906932	+	0.421277i	$0.861582\pi$
$42$	1.35582	+	0.00404060i	0.209207	+	0.000623478i
$43$	−5.98025	+	6.64174i	−0.911980	+	1.01286i	0.0878805	+	0.996131i	$0.471991\pi$
$43$	−5.98025	+	6.64174i	−0.911980	+	1.01286i	−0.999860	+	0.0167250i	$0.994676\pi$
$44$	2.57585	+	2.86077i	0.388323	+	0.431277i
$45$	−6.43673	+	1.88904i	−0.959532	+	0.281601i
$46$	6.52599	+	2.12042i	0.962204	+	0.312639i
$47$	2.79382	−	8.59849i	0.407520	−	1.25422i	−0.511252	−	0.859431i	$-0.670818\pi$
$47$	2.79382	−	8.59849i	0.407520	−	1.25422i	0.918772	−	0.394788i	$-0.129182\pi$
$48$	−0.365161	+	1.69312i	−0.0527065	+	0.244381i
$49$	4.27390	+	4.74665i	0.610557	+	0.678093i
$50$	−2.30058	−	4.43929i	−0.325351	−	0.627811i
$51$	6.26209	+	0.0186622i	0.876868	+	0.00261323i
$52$	2.44018	+	0.518677i	0.338392	+	0.0719275i
$53$	3.31260	+	7.44023i	0.455021	+	1.02199i	0.984774	+	0.173842i	$0.0556181\pi$
$53$	3.31260	+	7.44023i	0.455021	+	1.02199i	−0.529753	+	0.848152i	$0.677715\pi$
$54$	3.01652	+	4.23091i	0.410496	+	0.575754i
$55$	1.59779	+	8.45825i	0.215446	+	1.14051i
$56$	0.677913	−	0.391393i	0.0905899	−	0.0523021i
$57$	−1.88515	+	2.57850i	−0.249695	+	0.341530i
$58$	−3.94250	+	2.86440i	−0.517676	+	0.376114i
$59$	−0.995997	−	4.68580i	−0.129668	−	0.610039i	−0.994208	−	0.107475i	$-0.965724\pi$
$59$	−0.995997	−	4.68580i	−0.129668	−	0.610039i	0.864540	−	0.502564i	$-0.167610\pi$
$60$	−2.66468	+	2.81060i	−0.344009	+	0.362847i
$61$			4.37433i			0.560076i	0.959989	+	0.280038i	$0.0903470\pi$
$61$			4.37433i			0.560076i	−0.959989	+	0.280038i	$0.909653\pi$
$62$	2.30758	−	5.06706i	0.293062	−	0.643517i
$63$	0.501934	−	2.29409i	0.0632377	−	0.289028i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	4.05956	+	3.82590i	0.503527	+	0.474544i
$66$	5.78422	−	3.31658i	0.711989	−	0.408243i
$67$	1.21061	+	0.698948i	0.147900	+	0.0853901i	0.572124	−	0.820167i	$-0.306120\pi$
$67$	1.21061	+	0.698948i	0.147900	+	0.0853901i	−0.424224	+	0.905557i	$0.639453\pi$
$68$	3.13106	−	1.80772i	0.379697	−	0.219218i
$69$	5.97317	−	10.2750i	0.719085	−	1.23696i
$70$	1.74991	+	0.0397935i	0.209154	+	0.00475623i
$71$	2.80277	+	6.29512i	0.332627	+	0.747094i	0.999997	+	0.00236696i	$0.000753428\pi$
$71$	2.80277	+	6.29512i	0.332627	+	0.747094i	−0.667370	+	0.744727i	$0.732580\pi$
$72$	2.73331	+	1.23652i	0.322124	+	0.145726i
$73$	0.874246	+	8.31790i	0.102323	+	0.973536i	0.918416	+	0.395616i	$0.129469\pi$
$73$	0.874246	+	8.31790i	0.102323	+	0.973536i	−0.816093	+	0.577920i	$0.803864\pi$
$74$	3.52385	−	3.91363i	0.409639	−	0.454950i
$75$	−8.35634	+	2.27410i	−0.964907	+	0.262591i
$76$	−0.192764	+	1.83403i	−0.0221116	+	0.210377i
$77$	−2.86588	−	0.931182i	−0.326598	−	0.106118i
$78$	1.76924	−	3.94212i	0.200327	−	0.446357i
$79$	−14.5205	−	1.52616i	−1.63368	−	0.171707i	−0.757212	−	0.653169i	$-0.773439\pi$
$79$	−14.5205	−	1.52616i	−1.63368	−	0.171707i	−0.876467	+	0.481463i	$0.840106\pi$
$80$	−0.514509	+	2.17607i	−0.0575239	+	0.243292i
$81$	8.26496	−	3.56236i	0.918329	−	0.395818i
$82$	7.64972	−	0.804018i	0.844770	−	0.0887889i
$83$	1.54644	−	7.27543i	0.169744	−	0.798582i	−0.808067	−	0.589091i	$-0.799486\pi$
$83$	1.54644	−	7.27543i	0.169744	−	0.798582i	0.977811	−	0.209491i	$-0.0671807\pi$
$84$	−0.415128	−	1.29071i	−0.0452942	−	0.140828i
$85$	8.08227	+	0.183793i	0.876645	+	0.0199352i
$86$	8.16467	+	3.63515i	0.880419	+	0.391988i
$87$	3.41012	+	7.72110i	0.365603	+	0.827789i
$88$	1.92477	−	3.33380i	0.205181	−	0.355384i
$89$	−9.99308	+	7.26040i	−1.05926	+	0.769600i	−0.973952	−	0.226754i	$-0.927189\pi$
$89$	−9.99308	+	7.26040i	−1.05926	+	0.769600i	−0.0853120	+	0.996354i	$0.527189\pi$
$90$	3.78564	+	5.53795i	0.399042	+	0.583751i
$91$	−1.85724	+	0.603453i	−0.194691	+	0.0632590i
$92$		−	6.86183i		−	0.715395i
$93$	−7.73651	−	5.75730i	−0.802238	−	0.597004i
$94$	−9.04099			−0.932507
$95$	−2.49901	+	3.28010i	−0.256393	+	0.336531i
$96$	1.72309	−	0.175914i	0.175863	−	0.0179542i
$97$	−1.01105	−	1.39159i	−0.102657	−	0.141295i	0.754598	−	0.656187i	$-0.227832\pi$
$97$	−1.01105	−	1.39159i	−0.102657	−	0.141295i	−0.857255	+	0.514892i	$0.827832\pi$
$98$	3.19362	−	5.53152i	0.322605	−	0.558768i
$99$	−3.50319	−	11.0045i	−0.352084	−	1.10599i
$100$	−3.51110	+	3.55980i	−0.351110	+	0.355980i
$101$	−9.58213	+	13.1887i	−0.953458	+	1.31232i	−0.00348362	+	0.999994i	$0.501109\pi$
$101$	−9.58213	+	13.1887i	−0.953458	+	1.31232i	−0.949974	+	0.312328i	$0.898891\pi$
$102$	−1.91734	−	5.96137i	−0.189845	−	0.590264i
$103$	−0.370070	+	1.74104i	−0.0364640	+	0.171550i	−0.992612	−	0.121336i	$-0.961282\pi$
$103$	−0.370070	+	1.74104i	−0.0364640	+	0.171550i	0.956147	+	0.292886i	$0.0946155\pi$
$104$	−0.260767	−	2.48103i	−0.0255703	−	0.243285i
$105$	0.706374	−	2.94828i	0.0689351	−	0.287723i
$106$	6.05243	−	5.44963i	0.587864	−	0.529315i
$107$	0.806799	−	7.67618i	0.0779962	−	0.742084i	−0.883716	−	0.468023i	$-0.844966\pi$
$107$	0.806799	−	7.67618i	0.0779962	−	0.742084i	0.961712	−	0.274061i	$-0.0883670\pi$
$108$	3.09168	−	4.17630i	0.297497	−	0.401865i
$109$	−0.754139	+	2.32100i	−0.0722334	+	0.222312i	−0.980655	−	0.195743i	$-0.937288\pi$
$109$	−0.754139	+	2.32100i	−0.0722334	+	0.222312i	0.908422	+	0.418055i	$0.137288\pi$
$110$	7.55053	−	4.13333i	0.719915	−	0.394098i
$111$	−5.33947	−	7.39540i	−0.506800	−	0.701940i
$112$	−0.581724	−	0.523786i	−0.0549677	−	0.0494931i
$113$	0.0409163	+	0.389293i	0.00384909	+	0.0366216i	0.996278	−	0.0861999i	$-0.0274724\pi$
$113$	0.0409163	+	0.389293i	0.00384909	+	0.0366216i	−0.992429	+	0.122822i	$0.960806\pi$
$114$	3.03484	+	0.996088i	0.284239	+	0.0932922i
$115$	7.97187	−	13.1100i	0.743381	−	1.22252i
$116$	3.94250	+	2.86440i	0.366052	+	0.265952i
$117$	−6.02843	−	4.43505i	−0.557328	−	0.410020i
$118$	−4.14868	+	2.39524i	−0.381917	+	0.220500i
$119$	−1.41506	+	2.45095i	−0.129718	+	0.224678i
$120$	3.49647	+	1.66574i	0.319183	+	0.152061i
$121$	−3.73552	+	0.794010i	−0.339593	+	0.0721827i
$122$	4.16024	−	1.35174i	0.376650	−	0.122381i
$123$	1.43208	−	13.2455i	0.129126	−	1.19431i
$124$	−5.53214	−	0.628827i	−0.496801	−	0.0564703i
$125$	−10.8439	+	2.72217i	−0.969906	+	0.243478i
$126$	−2.33692	+	0.231546i	−0.208189	+	0.0206277i
$127$	16.8171	−	3.57458i	1.49228	−	0.317193i	0.611697	−	0.791092i	$-0.290487\pi$
$127$	16.8171	−	3.57458i	1.49228	−	0.317193i	0.880579	+	0.473899i	$0.157154\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	9.13616	−	12.4964i	0.804394	−	1.10024i
$130$	2.38417	−	5.04314i	0.209106	−	0.442313i
$131$	−2.80552	+	6.30129i	−0.245119	+	0.550546i	−0.993645	−	0.112559i	$-0.964095\pi$
$131$	−2.80552	+	6.30129i	−0.245119	+	0.550546i	0.748526	+	0.663105i	$0.230762\pi$
$132$	−4.94168	−	4.47624i	−0.430118	−	0.389607i
$133$	−0.587148	−	1.31876i	−0.0509122	−	0.114351i
$134$	0.290639	−	1.36735i	0.0251074	−	0.118121i
$135$	10.7588	−	4.38731i	0.925969	−	0.377599i
$136$	−2.68679	−	2.41920i	−0.230391	−	0.207445i
$137$	−9.81998	+	8.84195i	−0.838978	+	0.755419i	−0.971821	−	0.235718i	$-0.924256\pi$
$137$	−9.81998	+	8.84195i	−0.838978	+	0.755419i	0.132844	+	0.991137i	$0.457589\pi$
$138$	−11.6179	−	2.50567i	−0.988982	−	0.213297i
$139$	11.6813	+	3.79550i	0.990799	+	0.321930i	0.759183	−	0.650877i	$-0.225599\pi$
$139$	11.6813	+	3.79550i	0.990799	+	0.321930i	0.231616	+	0.972807i	$0.425599\pi$
$140$	−0.502906	−	1.67656i	−0.0425033	−	0.141695i
$141$	−3.30142	+	15.3075i	−0.278029	+	1.28912i
$142$	5.12091	−	4.61089i	0.429738	−	0.386937i
$143$	−6.42596	+	7.13675i	−0.537366	+	0.596805i
$144$	0.331363	−	2.98164i	0.0276136	−	0.248470i
$145$	4.20467	+	10.0529i	0.349179	+	0.834850i
$146$	7.64063	−	3.40183i	0.632343	−	0.281537i
$147$	−8.19934	−	7.42708i	−0.676270	−	0.612575i
$148$	−4.81101	−	2.14200i	−0.395462	−	0.176071i
$149$	−2.86675	+	1.65512i	−0.234853	+	0.135593i	−0.612809	−	0.790231i	$-0.709960\pi$
$149$	−2.86675	+	1.65512i	−0.234853	+	0.135593i	0.377956	+	0.925824i	$0.376627\pi$
$150$	4.74505	+	7.24462i	0.387432	+	0.591520i
$151$	7.72992	+	10.6393i	0.629052	+	0.865816i	0.997973	−	0.0636448i	$-0.0202725\pi$
$151$	7.72992	+	10.6393i	0.629052	+	0.865816i	−0.368920	+	0.929461i	$0.620272\pi$
$152$	1.80383	−	0.383416i	0.146310	−	0.0310992i
$153$	−10.7935	+	1.06943i	−0.872599	+	0.0864586i
$154$			3.01337i			0.242824i
$155$	−9.83901	−	7.62849i	−0.790288	−	0.612735i
$156$	−4.29591	−	0.464466i	−0.343948	−	0.0371870i
$157$	−21.0956	+	6.85437i	−1.68361	+	0.547039i	−0.985607	−	0.169054i	$-0.945929\pi$
$157$	−21.0956	+	6.85437i	−1.68361	+	0.547039i	−0.698005	+	0.716093i	$0.745929\pi$
$158$	3.03560	+	14.2814i	0.241499	+	1.13617i
$159$	−7.01677	−	12.2375i	−0.556466	−	0.970495i
$160$	2.22856	−	0.183115i	0.176183	−	0.0144765i
$161$	2.68567	+	4.65172i	0.211661	+	0.366607i
$162$	−5.94202	−	6.75962i	−0.466849	−	0.531086i
$163$	12.6788	−	17.4509i	0.993079	−	1.36686i	0.0636024	−	0.997975i	$-0.479741\pi$
$163$	12.6788	−	17.4509i	0.993079	−	1.36686i	0.929477	−	0.368881i	$-0.120259\pi$
$164$	−3.12856	−	7.02686i	−0.244300	−	0.548706i
$165$	−4.24107	−	14.2933i	−0.330167	−	1.11273i
$166$	−7.39722	+	0.777479i	−0.574136	+	0.0603441i
$167$	−4.37531	−	3.93955i	−0.338572	−	0.304851i	0.482253	−	0.876032i	$-0.339819\pi$
$167$	−4.37531	−	3.93955i	−0.338572	−	0.304851i	−0.820824	+	0.571181i	$0.806485\pi$
$168$	−1.09926	+	0.793662i	−0.0848094	+	0.0612323i
$169$	0.708336	−	6.73936i	0.0544874	−	0.518413i
$170$	−2.32276	−	7.74349i	−0.178148	−	0.593899i
$171$	2.79470	−	4.77462i	0.213716	−	0.365124i
$172$	0.934207	−	8.88838i	0.0712326	−	0.677733i
$173$	13.0017	+	14.4398i	0.988501	+	1.09784i	0.995200	+	0.0978637i	$0.0312009\pi$
$173$	13.0017	+	14.4398i	0.988501	+	1.09784i	−0.00669907	+	0.999978i	$0.502132\pi$
$174$	6.28942	−	5.62917i	0.476799	−	0.426746i
$175$	0.986939	−	3.78745i	0.0746056	−	0.286305i
$176$	−3.76542	−	0.800365i	−0.283829	−	0.0603298i
$177$	2.54049	+	7.89886i	0.190955	+	0.593715i
$178$	9.99308	+	7.26040i	0.749013	+	0.544190i
$179$	16.9842	+	7.56186i	1.26946	+	0.565200i	0.927257	−	0.374426i	$-0.122160\pi$
$179$	16.9842	+	7.56186i	1.26946	+	0.565200i	0.342203	+	0.939626i	$0.388827\pi$
$180$	4.09708	−	5.31168i	0.305378	−	0.395909i
$181$	−15.6682	−	9.04605i	−1.16461	−	0.672388i	−0.212206	−	0.977225i	$-0.568065\pi$
$181$	−15.6682	−	9.04605i	−1.16461	−	0.672388i	−0.952405	+	0.304837i	$0.901398\pi$
$182$	1.14784	+	1.57986i	0.0850832	+	0.117107i
$183$	−0.769507	−	7.53739i	−0.0568836	−	0.557180i
$184$	−6.52599	+	2.12042i	−0.481102	+	0.156320i
$185$	−6.70327	−	9.68173i	−0.492835	−	0.711815i
$186$	−3.08480	+	9.13696i	−0.226189	+	0.669954i
$187$			13.9178i			1.01777i
$188$	2.79382	+	8.59849i	0.203760	+	0.627110i
$189$	−0.461316	+	4.04123i	−0.0335558	+	0.293956i
$190$	3.89179	+	1.36309i	0.282340	+	0.0988891i
$191$	9.84894	+	5.68629i	0.712644	+	0.411445i	0.812039	−	0.583603i	$-0.198357\pi$
$191$	9.84894	+	5.68629i	0.712644	+	0.411445i	−0.0993950	+	0.995048i	$0.531691\pi$
$192$	−0.699770	−	1.58440i	−0.0505015	−	0.114344i
$193$	2.15768	−	4.84622i	0.155313	−	0.348838i	−0.819084	−	0.573674i	$-0.805518\pi$
$193$	2.15768	−	4.84622i	0.155313	−	0.348838i	0.974397	+	0.224835i	$0.0721844\pi$
$194$	−1.01105	+	1.39159i	−0.0725892	+	0.0999105i
$195$	−7.66804	−	5.87825i	−0.549120	−	0.420950i
$196$	−6.24767	−	1.32798i	−0.446262	−	0.0948559i
$197$	19.5658	−	2.05645i	1.39400	−	0.146516i	0.622440	−	0.782667i	$-0.286141\pi$
$197$	19.5658	−	2.05645i	1.39400	−	0.146516i	0.771564	+	0.636152i	$0.219475\pi$
$198$	−9.38333	+	6.73230i	−0.666844	+	0.478444i
$199$	−6.34389	+	5.71207i	−0.449707	+	0.404918i	−0.862620	−	0.505853i	$-0.831178\pi$
$199$	−6.34389	+	5.71207i	−0.449707	+	0.404918i	0.412913	+	0.910770i	$0.364511\pi$
$200$	4.47056	+	2.23922i	0.316116	+	0.158337i
$201$	−2.20896	−	0.991389i	−0.155808	−	0.0699272i
$202$	15.5042	+	5.03763i	1.09087	+	0.354446i
$203$	−3.79378	−	0.398742i	−0.266271	−	0.0279862i
$204$	−5.07711	+	3.66567i	−0.355469	+	0.256648i
$205$	2.18625	−	17.0600i	0.152695	−	1.19152i
$206$	1.77019	−	0.186054i	0.123335	−	0.0129630i
$207$	−8.48481	+	18.7555i	−0.589735	+	1.30360i
$208$	−2.27902	+	1.01468i	−0.158022	+	0.0703557i
$209$	−5.74326	−	4.17272i	−0.397269	−	0.288633i
$210$	−3.02226	+	0.239266i	−0.208556	+	0.0165109i
$211$	−11.6876	−	20.2435i	−0.804608	−	1.39362i	−0.916555	−	0.399908i	$-0.869042\pi$
$211$	−11.6876	−	20.2435i	−0.804608	−	1.39362i	0.111947	−	0.993714i	$-0.464291\pi$
$212$	−7.05321	−	4.07217i	−0.484416	−	0.279678i
$213$	−5.93684	−	10.3540i	−0.406785	−	0.709447i
$214$	−7.54979	+	1.60476i	−0.516093	+	0.109699i
$215$	12.1111	−	15.8966i	0.825972	−	1.08414i
$216$	−4.92728	−	1.64982i	−0.335259	−	0.112256i
$217$	3.99643	−	1.73895i	0.271295	−	0.118048i
$218$	2.44045			0.165288
$219$	−2.96965	−	14.1787i	−0.200670	−	0.958110i
$220$	−6.26427	−	5.90371i	−0.422337	−	0.398028i
$221$	5.30148	+	7.29686i	0.356616	+	0.490840i
$222$	−5.38346	+	7.36344i	−0.361314	+	0.494202i
$223$	−6.63291	−	11.4885i	−0.444172	−	0.769329i	0.553822	−	0.832635i	$-0.313169\pi$
$223$	−6.63291	−	11.4885i	−0.444172	−	0.769329i	−0.997994	+	0.0633062i	$0.979836\pi$
$224$	−0.318388	+	0.715111i	−0.0212732	+	0.0477804i
$225$	13.9987	−	5.38849i	0.933248	−	0.359233i
$226$	0.357596	−	0.159212i	0.0237869	−	0.0105906i
$227$	−16.7623	−	3.56294i	−1.11255	−	0.236480i	−0.385260	−	0.922808i	$-0.625888\pi$
$227$	−16.7623	−	3.56294i	−1.11255	−	0.236480i	−0.727293	+	0.686327i	$0.759222\pi$
$228$	0.00951906	−	3.19411i	0.000630415	−	0.211535i
$229$	−7.27677	−	6.55203i	−0.480863	−	0.432971i	0.392712	−	0.919662i	$-0.371537\pi$
$229$	−7.27677	−	6.55203i	−0.480863	−	0.432971i	−0.873574	+	0.486691i	$0.838204\pi$
$230$	−14.9318	−	3.53048i	−0.984575	−	0.232793i
$231$	5.10200	+	1.10036i	0.335687	+	0.0723987i
$232$	1.50590	−	4.63469i	0.0988673	−	0.304282i
$233$	0.697933	−	2.14802i	0.0457231	−	0.140721i	−0.925589	−	0.378531i	$-0.876429\pi$
$233$	0.697933	−	2.14802i	0.0457231	−	0.140721i	0.971312	+	0.237810i	$0.0764294\pi$
$234$	−2.35509	+	7.10388i	−0.153957	+	0.464395i
$235$	−4.65167	+	19.6738i	−0.303442	+	1.28338i
$236$	3.56002	+	3.20546i	0.231738	+	0.208657i
$237$	25.2886	+	0.0753648i	1.64267	+	0.00489547i
$238$	2.76827	+	0.588414i	0.179440	+	0.0381412i
$239$	5.60126	−	2.49384i	0.362315	−	0.161313i	−0.217502	−	0.976060i	$-0.569791\pi$
$239$	5.60126	−	2.49384i	0.362315	−	0.161313i	0.579817	+	0.814747i	$0.303124\pi$
$240$	0.503746	−	3.84008i	0.0325167	−	0.247876i
$241$	−8.32569	+	18.6998i	−0.536305	+	1.20456i	0.418742	+	0.908105i	$0.362471\pi$
$241$	−8.32569	+	18.6998i	−0.536305	+	1.20456i	−0.955047	+	0.296455i	$0.904196\pi$
$242$	1.90949	+	3.30733i	0.122747	+	0.212603i
$243$	−13.6146	+	7.59221i	−0.873379	+	0.487040i
$244$	−2.57117	−	3.53891i	−0.164602	−	0.226555i
$245$	−10.3938	−	9.79556i	−0.664037	−	0.625816i
$246$	−13.0398	+	2.73109i	−0.831384	+	0.174128i
$247$	−4.60054			−0.292726
$248$	1.11148	+	5.45570i	0.0705788	+	0.346437i
$249$	−1.38481	+	12.8083i	−0.0877588	+	0.811692i
$250$	5.93988	+	9.47195i	0.375671	+	0.599059i
$251$	1.91005	−	0.405994i	0.120561	−	0.0256261i	−0.147236	−	0.989101i	$-0.547038\pi$
$251$	1.91005	−	0.405994i	0.120561	−	0.0256261i	0.267797	+	0.963475i	$0.413704\pi$
$252$	0.942360	+	2.15099i	0.0593631	+	0.135499i
$253$	22.8760	+	13.2075i	1.43820	+	0.830345i
$254$	−8.59640	−	14.8894i	−0.539386	−	0.934244i
$255$	−13.9588	+	1.10509i	−0.874137	+	0.0692037i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−17.4013	+	7.74755i	−1.08546	+	0.483279i	−0.869909	−	0.493213i	$-0.835822\pi$
$257$	−17.4013	+	7.74755i	−1.08546	+	0.483279i	−0.215554	+	0.976492i	$0.569156\pi$
$258$	−14.7080	−	4.82742i	−0.915678	−	0.300542i
$259$	4.09981	−	0.430907i	0.254750	−	0.0267753i
$260$	−5.53306	−	0.709067i	−0.343146	−	0.0439744i
$261$	−7.23421	−	12.7043i	−0.447786	−	0.786376i
$262$	6.85984	+	0.720998i	0.423802	+	0.0445434i
$263$	−0.849899	−	0.276149i	−0.0524070	−	0.0170281i	0.282696	−	0.959210i	$-0.408771\pi$
$263$	−0.849899	−	0.276149i	−0.0524070	−	0.0170281i	−0.335103	+	0.942181i	$0.608771\pi$
$264$	−2.73010	+	6.08305i	−0.168026	+	0.374386i
$265$	−8.74474	−	15.9744i	−0.537185	−	0.981299i
$266$	−1.07277	+	0.965930i	−0.0657760	+	0.0592250i
$267$	15.9418	−	14.2683i	0.975623	−	0.873204i
$268$	−1.39024	+	0.146120i	−0.0849223	+	0.00892569i
$269$	−20.8075	−	4.42278i	−1.26866	−	0.269661i	−0.476063	−	0.879411i	$-0.657937\pi$
$269$	−20.8075	−	4.42278i	−1.26866	−	0.269661i	−0.792594	+	0.609750i	$0.791270\pi$
$270$	−7.49722	−	8.87646i	−0.456267	−	0.540204i
$271$	−4.32385	+	5.95127i	−0.262655	+	0.361514i	−0.919893	−	0.392169i	$-0.871725\pi$
$271$	−4.32385	+	5.95127i	−0.262655	+	0.361514i	0.657238	+	0.753683i	$0.271725\pi$
$272$	−1.47053	+	3.30287i	−0.0891640	+	0.200266i
$273$	3.09404	−	1.36652i	0.187260	−	0.0827056i
$274$	11.4437	+	6.60704i	0.691341	+	0.399146i
$275$	−5.10960	−	18.5571i	−0.308120	−	1.11904i
$276$	1.20709	+	11.8236i	0.0726585	+	0.711696i
$277$	4.23752	+	13.0418i	0.254608	+	0.783603i	0.993907	+	0.110225i	$0.0351573\pi$
$277$	4.23752	+	13.0418i	0.254608	+	0.783603i	−0.739298	+	0.673378i	$0.764843\pi$
$278$		−	12.2825i		−	0.736655i
$279$	14.3435	+	8.55940i	0.858724	+	0.512438i
$280$	−1.43910	+	0.996378i	−0.0860025	+	0.0595450i
$281$	16.9164	−	5.49648i	1.00915	−	0.327892i	0.242633	−	0.970118i	$-0.421989\pi$
$281$	16.9164	−	5.49648i	1.00915	−	0.327892i	0.766515	+	0.642226i	$0.221989\pi$
$282$	15.5785	−	1.59044i	0.927685	−	0.0947093i
$283$	0.0828241	+	0.113998i	0.00492338	+	0.00677645i	0.811472	−	0.584392i	$-0.198667\pi$
$283$	0.0828241	+	0.113998i	0.00492338	+	0.00677645i	−0.806548	+	0.591168i	$0.798667\pi$
$284$	−5.96767	−	3.44543i	−0.354116	−	0.204449i
$285$	3.72901	−	6.09153i	0.220888	−	0.360831i
$286$	8.77318	+	3.90607i	0.518769	+	0.230971i
$287$	4.87116	+	3.53910i	0.287535	+	0.208907i
$288$	−2.93811	+	0.606234i	−0.173130	+	0.0357227i
$289$	−3.84277	−	0.816806i	−0.226045	−	0.0480474i
$290$	8.26158	−	7.10540i	0.485137	−	0.417244i
$291$	1.98694	+	2.21999i	0.116476	+	0.130138i
$292$	−5.59642	−	6.21545i	−0.327506	−	0.363732i
$293$	1.09860	−	10.4525i	0.0641809	−	0.610641i	−0.914405	−	0.404801i	$-0.867341\pi$
$293$	1.09860	−	10.4525i	0.0641809	−	0.610641i	0.978586	−	0.205840i	$-0.0659926\pi$
$294$	−4.52984	+	10.0931i	−0.264186	+	0.588643i
$295$	3.07768	+	10.2602i	0.179189	+	0.597371i
$296$	−0.550479	+	5.23746i	−0.0319959	+	0.304421i
$297$	7.97218	+	18.3455i	0.462593	+	1.06451i
$298$	2.45999	+	2.21498i	0.142503	+	0.128310i
$299$	17.0244	−	1.78934i	0.984547	−	0.103480i
$300$	5.42374	−	6.75152i	0.313140	−	0.389799i
$301$	2.84554	+	6.39119i	0.164014	+	0.368382i
$302$	7.72992	−	10.6393i	0.444807	−	0.612225i
$303$	14.1908	−	24.4110i	0.815243	−	1.40237i
$304$	−0.922065	−	1.59706i	−0.0528840	−	0.0915979i
$305$	−0.801006	−	9.74845i	−0.0458655	−	0.558195i
$306$	4.35245	+	9.93471i	0.248813	+	0.567930i
$307$	−5.09628	−	23.9761i	−0.290860	−	1.36839i	−0.844465	−	0.535611i	$-0.820081\pi$
$307$	−5.09628	−	23.9761i	−0.290860	−	1.36839i	0.553605	−	0.832780i	$-0.313252\pi$
$308$	2.86588	−	0.931182i	0.163299	−	0.0530590i
$309$	0.331391	−	3.06508i	0.0188522	−	0.174366i
$310$	−4.21471	+	11.7148i	−0.239379	+	0.665355i
$311$			15.4406i			0.875557i	0.899083	+	0.437778i	$0.144235\pi$
$311$			15.4406i			0.875557i	−0.899083	+	0.437778i	$0.855765\pi$
$312$	0.885775	+	4.22918i	0.0501471	+	0.239430i
$313$	−3.13905	+	0.667225i	−0.177429	+	0.0377138i	−0.295770	−	0.955259i	$-0.595576\pi$
$313$	−3.13905	+	0.667225i	−0.177429	+	0.0377138i	0.118340	+	0.992973i	$0.462243\pi$
$314$	13.0378	+	17.9450i	0.735765	+	1.01269i
$315$	−0.698505	+	5.20442i	−0.0393563	+	0.293236i
$316$	12.6443	−	7.30022i	0.711300	−	0.410669i
$317$	20.8905	+	9.30107i	1.17333	+	0.522400i	0.898449	−	0.439078i	$-0.144695\pi$
$317$	20.8905	+	9.30107i	1.17333	+	0.522400i	0.274881	+	0.961478i	$0.411361\pi$
$318$	−9.47023	+	10.4549i	−0.531064	+	0.586284i
$319$	−17.1377	+	7.63022i	−0.959529	+	0.427210i
$320$	−0.862815	−	2.06290i	−0.0482328	−	0.115320i
$321$	−0.0398413	+	13.3687i	−0.00222372	+	0.746168i
$322$	3.59413	−	3.99169i	0.200293	−	0.222448i
$323$	−4.95479	+	4.46132i	−0.275692	+	0.248234i
$324$	−4.59259	+	7.74003i	−0.255144	+	0.430002i
$325$	−9.74755	−	7.78287i	−0.540697	−	0.431716i
$326$	−20.5147	−	6.66563i	−1.13620	−	0.369175i
$327$	0.891155	−	4.13197i	0.0492810	−	0.228498i
$328$	−5.71616	+	5.14686i	−0.315622	+	0.284188i
$329$	−5.25936	−	4.73555i	−0.289958	−	0.261079i
$330$	−12.2832	+	8.45036i	−0.676166	+	0.465177i
$331$	6.40107	−	30.1147i	0.351835	−	1.65525i	−0.345434	−	0.938443i	$-0.612268\pi$
$331$	6.40107	−	30.1147i	0.351835	−	1.65525i	0.697269	−	0.716810i	$-0.254398\pi$
$332$	3.02529	+	6.79492i	0.166035	+	0.372920i
$333$	10.5014	+	11.8037i	0.575471	+	0.646838i
$334$	−2.39469	+	5.37855i	−0.131031	+	0.294301i
$335$	−2.82591	−	1.33596i	−0.154396	−	0.0729915i
$336$	1.09451	+	0.800200i	0.0597102	+	0.0436545i
$337$	−11.9138	+	8.65590i	−0.648987	+	0.471517i	−0.862926	−	0.505330i	$-0.831371\pi$
$337$	−11.9138	+	8.65590i	−0.648987	+	0.471517i	0.213939	+	0.976847i	$0.431371\pi$
$338$	−6.62840	+	1.40891i	−0.360538	+	0.0766347i
$339$	−0.138985	−	0.663591i	−0.00754862	−	0.0360413i
$340$	−6.64673	+	4.60195i	−0.360469	+	0.249576i
$341$	12.7445	−	17.2327i	0.690153	−	0.933204i
$342$	−5.40454	−	1.18248i	−0.292244	−	0.0639413i
$343$	9.96646	−	3.23830i	0.538138	−	0.174852i
$344$	−8.74204	+	1.85818i	−0.471339	+	0.100186i
$345$	−11.4300	+	23.9922i	−0.615373	+	1.29170i
$346$	9.71537	−	16.8275i	0.522301	−	0.904652i
$347$	−2.72675	+	1.57429i	−0.146380	+	0.0845123i	−0.571401	−	0.820671i	$-0.693600\pi$
$347$	−2.72675	+	1.57429i	−0.146380	+	0.0845123i	0.425021	+	0.905183i	$0.360267\pi$
$348$	−7.29719	−	4.24208i	−0.391171	−	0.227399i
$349$	12.8792	+	9.35731i	0.689410	+	0.500885i	0.876466	−	0.481464i	$-0.159895\pi$
$349$	12.8792	+	9.35731i	0.689410	+	0.500885i	−0.187056	+	0.982349i	$0.559895\pi$
$350$	−3.90706	+	0.231753i	−0.208841	+	0.0123877i
$351$	11.1677	+	6.58152i	0.596090	+	0.351296i
$352$	0.402387	+	3.82845i	0.0214473	+	0.204057i
$353$	15.2101	+	13.6952i	0.809551	+	0.728923i	0.965938	−	0.258773i	$-0.0833181\pi$
$353$	15.2101	+	13.6952i	0.809551	+	0.728923i	−0.156387	+	0.987696i	$0.549985\pi$
$354$	6.72720	−	4.85704i	0.357547	−	0.258148i
$355$	−7.39886	−	13.5158i	−0.392691	−	0.717345i
$356$	3.81702	−	11.7476i	0.202301	−	0.622620i
$357$	2.00712	−	4.47215i	0.106228	−	0.236691i
$358$	1.94335	−	18.4897i	0.102709	−	0.977211i
$359$	−9.99683	+	9.00118i	−0.527612	+	0.475064i	−0.889357	−	0.457213i	$-0.848848\pi$
$359$	−9.99683	+	9.00118i	−0.527612	+	0.475064i	0.361745	+	0.932277i	$0.382181\pi$
$360$	−6.31778	−	2.25515i	−0.332976	−	0.118857i
$361$	1.63056	+	15.5137i	0.0858189	+	0.816512i
$362$	−3.76156	+	17.6968i	−0.197703	+	0.930121i
$363$	6.29698	−	2.02529i	0.330506	−	0.106300i
$364$	1.14784	−	1.57986i	0.0601629	−	0.0828072i
$365$	−3.47144	−	18.3768i	−0.181703	−	0.961887i
$366$	−6.93069	+	3.06103i	−0.362273	+	0.160002i
$367$	−13.0817	+	22.6581i	−0.682857	+	1.18274i	0.291248	+	0.956648i	$0.405930\pi$
$367$	−13.0817	+	22.6581i	−0.682857	+	1.18274i	−0.974105	+	0.226096i	$0.927404\pi$
$368$	4.03328	+	5.55134i	0.210249	+	0.289383i
$369$	−0.137538	+	23.0752i	−0.00715994	+	1.20125i
$370$	−7.13645	+	9.36701i	−0.371006	+	0.486968i
$371$	6.37528			0.330988
$372$	9.64302	+	0.110346i	0.499967	+	0.00572115i
$373$			6.16732i			0.319332i	0.987171	+	0.159666i	$0.0510417\pi$
$373$			6.16732i			0.319332i	−0.987171	+	0.159666i	$0.948958\pi$
$374$	13.2366	−	4.30083i	0.684448	−	0.222391i
$375$	18.2062	−	6.59814i	0.940162	−	0.340727i
$376$	7.31431	−	5.31416i	0.377207	−	0.274057i
$377$	−6.07858	+	10.5284i	−0.313063	+	0.542241i
$378$	3.98599	−	0.810072i	0.205017	−	0.0416656i
$379$	−23.3730	−	10.4063i	−1.20059	−	0.534538i	−0.293698	−	0.955898i	$-0.594886\pi$
$379$	−23.3730	−	10.4063i	−1.20059	−	0.534538i	−0.906893	+	0.421360i	$0.861553\pi$
$380$	0.0937476	−	4.12253i	0.00480915	−	0.211482i
$381$	−28.3486	+	9.11771i	−1.45234	+	0.467115i
$382$	2.36449	−	11.1241i	0.120978	−	0.569156i
$383$	1.14409	−	0.120249i	0.0584603	−	0.00614443i	−0.0752531	−	0.997164i	$-0.523976\pi$
$383$	1.14409	−	0.120249i	0.0584603	−	0.00614443i	0.133713	+	0.991020i	$0.457310\pi$
$384$	−1.29061	+	1.15513i	−0.0658613	+	0.0589473i
$385$	6.55730	+	1.55041i	0.334191	+	0.0790160i
$386$	−5.27579	−	0.554507i	−0.268530	−	0.0282237i
$387$	−13.5442	+	23.1396i	−0.688489	+	1.17625i
$388$	1.63591	+	0.531541i	0.0830510	+	0.0269849i
$389$	2.36307	−	22.4831i	0.119813	−	1.13994i	−0.755083	−	0.655629i	$-0.772404\pi$
$389$	2.36307	−	22.4831i	0.119813	−	1.13994i	0.874896	−	0.484311i	$-0.160930\pi$
$390$	−3.22099	+	9.10922i	−0.163101	+	0.461263i
$391$	16.6001	−	18.4363i	0.839505	−	0.932364i
$392$	0.667649	+	6.35226i	0.0337214	+	0.320837i
$393$	3.72568	−	11.3512i	0.187936	−	0.572595i
$394$	−8.00196	−	17.9727i	−0.403133	−	0.905451i
$395$	32.6391	+	0.742224i	1.64225	+	0.0373453i
$396$	9.30241	+	6.84368i	0.467464	+	0.343908i
$397$	−0.951465	+	0.549328i	−0.0477526	+	0.0275700i	−0.523686	−	0.851911i	$-0.675444\pi$
$397$	−0.951465	+	0.549328i	−0.0477526	+	0.0275700i	0.475934	+	0.879481i	$0.342110\pi$
$398$	7.39287	+	4.26827i	0.370571	+	0.213949i
$399$	1.24370	+	2.16906i	0.0622629	+	0.108589i
$400$	0.748142	−	4.94371i	0.0374071	−	0.247186i
$401$	4.81505	+	14.8192i	0.240452	+	0.740035i	0.996351	+	0.0853473i	$0.0272000\pi$
$401$	4.81505	+	14.8192i	0.240452	+	0.740035i	−0.755899	+	0.654688i	$0.772800\pi$
$402$	−0.260262	+	2.40720i	−0.0129807	+	0.120060i
$403$	0.117540	−	13.8894i	0.00585508	−	0.691880i
$404$		−	16.3021i		−	0.811060i
$405$	−17.7666	+	9.45237i	−0.882830	+	0.469692i
$406$	0.793116	+	3.73132i	0.0393617	+	0.185182i
$407$	16.4011	−	11.9161i	0.812972	−	0.590659i
$408$	5.05517	+	3.69586i	0.250268	+	0.182972i
$409$	17.9508	−	10.3639i	0.887611	−	0.512462i	0.0144505	−	0.999896i	$-0.495400\pi$
$409$	17.9508	−	10.3639i	0.887611	−	0.512462i	0.873160	+	0.487433i	$0.162067\pi$
$410$	−16.9006	+	3.19258i	−0.834662	+	0.157670i
$411$	15.3653	−	16.9630i	0.757916	−	0.836723i
$412$	−0.723965	−	1.62605i	−0.0356672	−	0.0801099i
$413$	−3.66798	−	0.779652i	−0.180489	−	0.0383642i
$414$	20.4595	+	2.27376i	1.00553	+	0.111749i
$415$	−2.11409	+	16.4969i	−0.103777	+	0.809800i
$416$	1.66928	+	1.85392i	0.0818431	+	0.0908960i
$417$	−20.7957	−	4.48509i	−1.01837	−	0.219636i
$418$	−2.19373	+	6.75160i	−0.107299	+	0.330232i
$419$	0.544837	+	0.177028i	0.0266170	+	0.00864840i	0.322295	−	0.946639i	$-0.395546\pi$
$419$	0.544837	+	0.177028i	0.0266170	+	0.00864840i	−0.295678	+	0.955288i	$0.595546\pi$
$420$	1.16149	+	2.80040i	0.0566747	+	0.136646i
$421$	26.4717	+	29.3998i	1.29015	+	1.43286i	0.842546	+	0.538624i	$0.181056\pi$
$421$	26.4717	+	29.3998i	1.29015	+	1.43286i	0.447603	+	0.894232i	$0.352278\pi$
$422$	−15.6411	+	17.3712i	−0.761395	+	0.845615i
$423$	2.99585	−	26.9570i	0.145663	−	1.31069i
$424$	−1.69330	+	7.96637i	−0.0822341	+	0.386881i
$425$	−18.0455	+	1.07039i	−0.875334	+	0.0519216i
$426$	−8.01270	+	8.84584i	−0.388216	+	0.428582i
$427$	3.12813	+	1.39273i	0.151381	+	0.0673991i
$428$	3.85923	+	6.68438i	0.186543	+	0.323102i
$429$	9.81707	−	13.4277i	0.473973	−	0.648296i
$430$	−18.8611	−	6.60606i	−0.909562	−	0.318572i
$431$	5.17671	+	24.3545i	0.249353	+	1.17312i	0.907443	+	0.420175i	$0.138031\pi$
$431$	5.17671	+	24.3545i	0.249353	+	1.17312i	−0.658090	+	0.752940i	$0.728635\pi$
$432$	−0.0464558	+	5.19594i	−0.00223511	+	0.249990i
$433$	0.0670596			0.00322268			0.00161134	−	0.999999i	$-0.499487\pi$
$433$	0.0670596			0.00322268			0.00161134	+	0.999999i	$0.499487\pi$
$434$	−2.88881	−	3.26346i	−0.138667	−	0.156651i
$435$	−9.01350	−	16.5825i	−0.432164	−	0.795069i
$436$	−0.754139	−	2.32100i	−0.0361167	−	0.111156i
$437$	2.63094	+	12.3776i	0.125855	+	0.592100i
$438$	−12.5671	+	7.20577i	−0.600479	+	0.344305i
$439$	−4.46364	+	7.73125i	−0.213038	+	0.368992i	−0.952664	−	0.304026i	$-0.901669\pi$
$439$	−4.46364	+	7.73125i	−0.213038	+	0.368992i	0.739626	+	0.673018i	$0.235002\pi$
$440$	−3.67899	+	7.78202i	−0.175389	+	0.370993i
$441$	15.4348	+	11.3552i	0.734989	+	0.540723i
$442$	5.30148	−	7.29686i	0.252166	−	0.347076i
$443$	−7.40139	+	3.29531i	−0.351651	+	0.156565i	−0.574958	−	0.818183i	$-0.694981\pi$
$443$	−7.40139	+	3.29531i	−0.351651	+	0.156565i	0.223307	+	0.974748i	$0.428315\pi$
$444$	8.66663	+	2.84454i	0.411300	+	0.134996i
$445$	20.9407	−	18.0101i	0.992683	−	0.853760i
$446$	−8.87656	+	9.85842i	−0.420317	+	0.466810i
$447$	4.64852	−	3.35623i	0.219868	−	0.158744i
$448$	0.778498	+	0.0818234i	0.0367806	+	0.00386579i
$449$	−3.25657	+	10.0227i	−0.153687	+	0.473000i	−0.998025	−	0.0628102i	$-0.979994\pi$
$449$	−3.25657	+	10.0227i	−0.153687	+	0.473000i	0.844338	+	0.535810i	$0.179994\pi$
$450$	−9.45061	−	11.6484i	−0.445506	−	0.549113i
$451$	29.4479	+	3.09510i	1.38665	+	0.145743i
$452$	−0.261923	−	0.290895i	−0.0123198	−	0.0136825i
$453$	−15.1910	−	16.9728i	−0.713735	−	0.797450i
$454$	1.79128	+	17.0429i	0.0840690	+	0.799863i
$455$	4.02846	−	1.68492i	0.188857	−	0.0789902i
$456$	−3.04072	+	0.977982i	−0.142395	+	0.0457982i
$457$	−2.53622	−	1.84267i	−0.118639	−	0.0861964i	0.526883	−	0.849938i	$-0.323360\pi$
$457$	−2.53622	−	1.84267i	−0.118639	−	0.0861964i	−0.645523	+	0.763741i	$0.723360\pi$
$458$	−3.98271	+	8.94531i	−0.186100	+	0.417987i
$459$	18.4100	−	3.74146i	0.859306	−	0.174636i
$460$	1.25650	+	15.2920i	0.0585848	+	0.712992i
$461$	−9.76449	+	7.09432i	−0.454778	+	0.330415i	−0.791479	−	0.611196i	$-0.790689\pi$
$461$	−9.76449	+	7.09432i	−0.454778	+	0.330415i	0.336702	+	0.941611i	$0.390689\pi$
$462$	−0.530095	−	5.19232i	−0.0246622	−	0.241569i
$463$	−9.84759	−	30.3078i	−0.457656	−	1.40852i	−0.867988	−	0.496585i	$-0.834587\pi$
$463$	−9.84759	−	30.3078i	−0.457656	−	1.40852i	0.410331	−	0.911936i	$-0.365413\pi$
$464$	−4.87320			−0.226233
$465$	18.2955	+	11.4138i	0.848433	+	0.529302i
$466$	−2.25856			−0.104626
$467$	−8.17212	−	25.1512i	−0.378161	−	1.16386i	−0.941321	−	0.337512i	$-0.890415\pi$
$467$	−8.17212	−	25.1512i	−0.378161	−	1.16386i	0.563161	−	0.826347i	$-0.309585\pi$
$468$	7.48396	+	0.0446076i	0.345946	+	0.00206199i
$469$	0.885270	−	0.643186i	0.0408780	−	0.0296996i
$470$	20.1484	−	1.65554i	0.929375	−	0.0763645i
$471$	35.1439	−	15.5217i	1.61935	−	0.715204i
$472$	1.94846	−	4.37632i	0.0896853	−	0.201436i
$473$	27.8340	+	20.2226i	1.27981	+	0.929835i
$474$	−7.74293	−	24.0742i	−0.355644	−	1.10576i
$475$	4.96855	−	7.76749i	0.227973	−	0.356397i
$476$	−0.295827	−	2.81461i	−0.0135592	−	0.129007i
$477$	14.2433	+	19.8520i	0.652156	+	0.908960i
$478$	−4.10267	−	4.55647i	−0.187652	−	0.208408i
$479$	29.3408	+	3.08384i	1.34062	+	0.140904i	0.747526	−	0.664232i	$-0.231241\pi$
$479$	29.3408	+	3.08384i	1.34062	+	0.140904i	0.593090	+	0.805136i	$0.297908\pi$
$480$	−3.80780	+	0.707560i	−0.173802	+	0.0322955i
$481$	4.05981	−	12.4948i	0.185112	−	0.569715i
$482$	20.3573	+	2.13964i	0.927252	+	0.0974581i
$483$	−5.44597	−	7.54291i	−0.247800	−	0.343214i
$484$	2.55539	−	2.83805i	0.116154	−	0.129002i
$485$	2.50801	+	2.91610i	0.113883	+	0.132413i
$486$	11.4278	+	10.6022i	0.518374	+	0.480924i
$487$	−20.8142	+	9.26710i	−0.943183	+	0.419932i	−0.819943	−	0.572445i	$-0.805995\pi$
$487$	−20.8142	+	9.26710i	−0.943183	+	0.419932i	−0.123240	+	0.992377i	$0.539328\pi$
$488$	−2.57117	+	3.53891i	−0.116391	+	0.160199i
$489$	−18.7769	+	32.2998i	−0.849120	+	1.46065i
$490$	−6.10427	+	12.9121i	−0.275763	+	0.583309i
$491$	−4.32920	+	7.49839i	−0.195374	+	0.338398i	−0.947023	−	0.321166i	$-0.895925\pi$
$491$	−4.32920	+	7.49839i	−0.195374	+	0.338398i	0.751649	+	0.659563i	$0.229259\pi$
$492$	6.62693	+	11.5576i	0.298765	+	0.521056i
$493$	3.66314	+	17.2337i	0.164980	+	0.776168i
$494$	1.42165	+	4.37538i	0.0639629	+	0.196858i
$495$	9.82216	+	23.8826i	0.441473	+	1.07344i
$496$	4.84521	−	2.74298i	0.217556	−	0.123163i
$497$	5.39408			0.241957
$498$	12.6093	−	2.64095i	0.565038	−	0.118344i
$499$	−1.51322	−	7.11912i	−0.0677408	−	0.318696i	0.931210	−	0.364482i	$-0.118754\pi$
$499$	−1.51322	−	7.11912i	−0.0677408	−	0.318696i	−0.998951	+	0.0457865i	$0.985421\pi$
$500$	7.17284	−	8.57615i	0.320779	−	0.383537i
$501$	8.23209	+	6.01853i	0.367783	+	0.268888i
$502$	−0.976362	−	1.69111i	−0.0435772	−	0.0754779i
$503$	−3.19290	−	1.42157i	−0.142364	−	0.0633847i	0.334318	−	0.942460i	$-0.391494\pi$
$503$	−3.19290	−	1.42157i	−0.142364	−	0.0633847i	−0.476682	+	0.879076i	$0.658161\pi$
$504$	1.75451	−	1.56093i	0.0781519	−	0.0695293i
$505$	18.9393	−	31.1464i	0.842787	−	1.38599i
$506$	5.49197	−	25.8377i	0.244148	−	1.14862i
$507$	−0.0349790	+	11.7372i	−0.00155347	+	0.521266i
$508$	−11.5042	+	12.7767i	−0.510418	+	0.566876i
$509$	4.73025	+	5.25347i	0.209665	+	0.232856i	0.838800	−	0.544440i	$-0.183258\pi$
$509$	4.73025	+	5.25347i	0.209665	+	0.232856i	−0.629136	+	0.777296i	$0.716591\pi$
$510$	5.36453	+	12.9342i	0.237545	+	0.572734i
$511$	6.22657	+	2.02313i	0.275447	+	0.0894982i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−3.97561	+	8.71874i	−0.175528	+	0.384942i
$514$	12.7457	+	14.1555i	0.562187	+	0.624372i
$515$	0.505911	−	3.94777i	0.0222931	−	0.173960i
$516$	−0.0461329	+	15.4799i	−0.00203089	+	0.681463i
$517$	−34.0431	−	7.23609i	−1.49722	−	0.318243i
$518$	−1.67673	−	3.76599i	−0.0736712	−	0.165468i
$519$	−24.9433	−	22.5940i	−1.09489	−	0.991768i
$520$	1.03545	+	5.48137i	0.0454074	+	0.240374i
$521$	4.92342	−	2.84254i	0.215699	−	0.124534i	−0.388258	−	0.921551i	$-0.626923\pi$
$521$	4.92342	−	2.84254i	0.215699	−	0.124534i	0.603957	+	0.797017i	$0.293590\pi$
$522$	−9.84701	+	10.8060i	−0.430992	+	0.472965i
$523$	−25.1992	+	18.3083i	−1.10189	+	0.800567i	−0.981367	−	0.192144i	$-0.938456\pi$
$523$	−25.1992	+	18.3083i	−1.10189	+	0.800567i	−0.120519	+	0.992711i	$0.538456\pi$
$524$	−1.43410	−	6.74689i	−0.0626488	−	0.294739i
$525$	−1.03432	+	6.69976i	−0.0451415	+	0.292401i
$526$			0.893636i			0.0389644i
$527$	−13.3425	−	15.0729i	−0.581207	−	0.656585i
$528$	6.62897	+	0.716713i	0.288489	+	0.0311909i
$529$	−7.44259	−	22.9059i	−0.323591	−	0.995910i
$530$	−12.4903	+	13.2531i	−0.542543	+	0.575678i
$531$	−5.76703	−	13.1636i	−0.250268	−	0.571250i
$532$	1.25016	+	0.721780i	0.0542013	+	0.0312931i
$533$	16.6180	−	9.59443i	0.719807	−	0.415581i
$534$	−18.4962	−	10.7524i	−0.800410	−	0.465303i
$535$	−0.392373	+	17.2545i	−0.0169638	+	0.745979i
$536$	0.568575	+	1.27704i	0.0245587	+	0.0551598i
$537$	−30.5956	−	10.0420i	−1.32030	−	0.433346i
$538$	2.22357	+	21.1558i	0.0958649	+	0.912093i
$539$	16.4526	−	18.2724i	0.708662	−	0.787049i
$540$	−6.12525	+	9.87326i	−0.263589	+	0.424878i
$541$	−3.77416	+	35.9087i	−0.162264	+	1.54384i	0.545937	+	0.837826i	$0.316174\pi$
$541$	−3.77416	+	35.9087i	−0.162264	+	1.54384i	−0.708201	+	0.706011i	$0.750493\pi$
$542$	6.99614	+	2.27318i	0.300510	+	0.0976415i
$543$	28.5892	+	12.8309i	1.22688	+	0.550628i
$544$	3.59563	+	0.377916i	0.154161	+	0.0162030i
$545$	1.25563	−	5.31058i	0.0537854	−	0.227480i
$546$	−2.25575	−	2.52033i	−0.0965371	−	0.107860i
$547$	−22.0406	+	2.31656i	−0.942387	+	0.0990489i	−0.563246	−	0.826290i	$-0.690447\pi$
$547$	−22.0406	+	2.31656i	−0.942387	+	0.0990489i	−0.379142	+	0.925339i	$0.623781\pi$
$548$	2.74736	−	12.9253i	0.117362	−	0.552143i
$549$	2.65187	+	12.8523i	0.113179	+	0.548521i
$550$	−16.0699	+	10.5940i	−0.685223	+	0.451729i
$551$	−8.20987	−	3.65527i	−0.349752	−	0.155720i
$552$	10.8719	−	4.80170i	0.462738	−	0.204374i
$553$	−5.71451	+	9.89782i	−0.243006	+	0.420898i
$554$	11.0940	−	8.06025i	0.471338	−	0.342447i
$555$	13.2535	+	15.5033i	0.562581	+	0.658080i
$556$	−11.6813	+	3.79550i	−0.495400	+	0.160965i
$557$		−	44.4864i		−	1.88495i	−0.334277	−	0.942475i	$-0.608492\pi$
$557$		−	44.4864i		−	1.88495i	0.334277	−	0.942475i	$-0.391508\pi$
$558$	3.70808	−	16.2865i	0.156976	−	0.689463i
$559$	22.2960			0.943019
$560$	1.39232	+	1.06077i	0.0588362	+	0.0448255i
$561$	−2.44834	−	23.9816i	−0.103369	−	1.01251i
$562$	−10.4549	−	14.3900i	−0.441014	−	0.607004i
$563$	7.38343	−	12.7885i	0.311174	−	0.538970i	−0.667443	−	0.744661i	$-0.732611\pi$
$563$	7.38343	−	12.7885i	0.311174	−	0.538970i	0.978617	+	0.205692i	$0.0659444\pi$
$564$	−6.32661	−	14.3245i	−0.266398	−	0.603172i
$565$	−0.162470	−	0.860069i	−0.00683516	−	0.0361834i
$566$	0.0828241	−	0.113998i	0.00348136	−	0.00479168i
$567$	0.0839804	−	7.04458i	0.00352685	−	0.295844i
$568$	−1.43269	+	6.74029i	−0.0601144	+	0.282816i
$569$	0.852745	+	8.11333i	0.0357489	+	0.340128i	0.997748	+	0.0670754i	$0.0213668\pi$
$569$	0.852745	+	8.11333i	0.0357489	+	0.340128i	−0.961999	+	0.273053i	$0.911967\pi$
$570$	−6.94571	−	1.66411i	−0.290924	−	0.0697021i
$571$	−7.09575	+	6.38904i	−0.296948	+	0.267373i	−0.804114	−	0.594475i	$-0.797360\pi$
$571$	−7.09575	+	6.38904i	−0.296948	+	0.267373i	0.507166	+	0.861848i	$0.330693\pi$
$572$	1.00383	−	9.55083i	0.0419724	−	0.399340i
$573$	−17.9710	−	8.06544i	−0.750747	−	0.336939i
$574$	1.86062	−	5.72639i	0.0776606	−	0.239015i
$575$	−15.3651	+	30.6762i	−0.640770	+	1.27929i
$576$	1.48449	+	2.60697i	0.0618537	+	0.108624i
$577$	6.76488	+	6.09113i	0.281626	+	0.253577i	0.797822	−	0.602894i	$-0.205986\pi$
$577$	6.76488	+	6.09113i	0.281626	+	0.253577i	−0.516196	+	0.856471i	$0.672652\pi$
$578$	0.410653	+	3.90710i	0.0170809	+	0.162514i
$579$	−2.86536	+	8.73006i	−0.119080	+	0.362809i
$580$	−9.31061	−	5.66154i	−0.386602	−	0.235083i
$581$	−4.71037	−	3.42228i	−0.195419	−	0.141980i
$582$	1.49733	−	2.57570i	0.0620665	−	0.106766i
$583$	27.1516	−	15.6760i	1.12451	−	0.649233i
$584$	−4.18186	+	7.24319i	−0.173046	+	0.299725i
$585$	14.2468	+	8.77986i	0.589034	+	0.363003i
$586$	−10.2804	+	2.18516i	−0.424679	+	0.0902683i
$587$	−40.8665	+	13.2783i	−1.68674	+	0.548055i	−0.986200	−	0.165559i	$-0.947057\pi$
$587$	−40.8665	+	13.2783i	−1.68674	+	0.548055i	−0.700539	+	0.713614i	$0.747057\pi$
$588$	10.9989	+	1.18919i	0.453588	+	0.0490412i
$589$	10.2201	−	0.986815i	0.421114	−	0.0406610i
$590$	8.80696	−	6.09761i	0.362577	−	0.251035i
$591$	−33.3519	+	6.98535i	−1.37191	+	0.287339i
$592$	5.15122	−	1.09493i	0.211714	−	0.0450012i
$593$	2.35043	−	1.70768i	0.0965204	−	0.0701262i	−0.538478	−	0.842639i	$-0.681001\pi$
$593$	2.35043	−	1.70768i	0.0965204	−	0.0701262i	0.634999	+	0.772513i	$0.281001\pi$
$594$	14.9841	−	13.2511i	0.614803	−	0.543697i
$595$	2.70473	−	5.72120i	0.110883	−	0.234546i
$596$	1.34639	−	3.02405i	0.0551505	−	0.123870i
$597$	9.92629	−	10.9584i	0.406256	−	0.448498i
$598$	−6.96259	−	15.6382i	−0.284722	−	0.639495i
$599$	−4.27371	+	20.1062i	−0.174619	+	0.821519i	0.800412	+	0.599451i	$0.204614\pi$
$599$	−4.27371	+	20.1062i	−0.174619	+	0.821519i	−0.975031	+	0.222068i	$0.928719\pi$
$600$	−8.09711	−	3.07195i	−0.330563	−	0.125412i
$601$	−14.7161	−	13.2504i	−0.600280	−	0.540495i	0.311989	−	0.950086i	$-0.399005\pi$
$601$	−14.7161	−	13.2504i	−0.600280	−	0.540495i	−0.912269	+	0.409591i	$0.865671\pi$
$602$	5.19906	−	4.68126i	0.211898	−	0.190794i
$603$	3.98064	+	1.31967i	0.162104	+	0.0537411i
$604$	−12.5073	−	4.06386i	−0.508914	−	0.165356i
$605$	8.17943	−	2.45353i	0.332541	−	0.0997501i
$606$	−27.6014	−	5.95289i	−1.12123	−	0.241820i
$607$	−9.79427	+	8.81880i	−0.397537	+	0.357944i	−0.843520	−	0.537097i	$-0.819521\pi$
$607$	−9.79427	+	8.81880i	−0.397537	+	0.357944i	0.445983	+	0.895041i	$0.352854\pi$
$608$	−1.23396	+	1.37046i	−0.0500438	+	0.0555793i
$609$	6.60718	+	0.0196907i	0.267737	+	0.000797906i
$610$	−9.02380	+	3.77424i	−0.365363	+	0.152814i
$611$	−20.6046	+	9.17375i	−0.833572	+	0.371130i
$612$	8.10349	−	7.20943i	0.327564	−	0.291424i
$613$	−10.3904	−	4.62612i	−0.419665	−	0.186847i	0.186029	−	0.982544i	$-0.440438\pi$
$613$	−10.3904	−	4.62612i	−0.419665	−	0.186847i	−0.605695	+	0.795697i	$0.707105\pi$
$614$	−21.2278	+	12.2559i	−0.856685	+	0.494607i
$615$	−0.766023	+	29.7806i	−0.0308890	+	1.20087i
$616$	−1.77121	−	2.43787i	−0.0713642	−	0.0982244i
$617$	10.1305	−	2.15330i	0.407837	−	0.0866884i	0.000575013	−	1.00000i	$-0.499817\pi$
$617$	10.1305	−	2.15330i	0.407837	−	0.0866884i	0.407262	+	0.913311i	$0.366484\pi$
$618$	−3.01747	+	0.631990i	−0.121380	+	0.0254223i
$619$			29.4042i			1.18185i	0.806725	+	0.590927i	$0.201238\pi$
$619$			29.4042i			1.18185i	−0.806725	+	0.590927i	$0.798762\pi$
$620$	12.4438	+	0.388358i	0.499757	+	0.0155968i
$621$	11.3208	−	33.8102i	0.454287	−	1.35676i
$622$	14.6849	−	4.77141i	0.588810	−	0.191316i
$623$	2.01031	+	9.45778i	0.0805415	+	0.378918i
$624$	3.74847	−	2.14931i	0.150059	−	0.0860412i
$625$	23.6677	−	8.05218i	0.946710	−	0.322087i
$626$	1.60459	+	2.77923i	0.0641322	+	0.111080i
$627$	10.6302	+	6.17967i	0.424530	+	0.246792i
$628$	13.0378	−	17.9450i	0.520265	−	0.716083i
$629$	−7.74426	−	17.3939i	−0.308784	−	0.693540i
$630$	5.16555	−	0.943937i	0.205801	−	0.0376074i
$631$	−14.7230	+	1.54745i	−0.586114	+	0.0616031i	−0.392944	−	0.919562i	$-0.628543\pi$
$631$	−14.7230	+	1.54745i	−0.586114	+	0.0616031i	−0.193170	+	0.981165i	$0.561877\pi$
$632$	−10.8502	−	9.76960i	−0.431599	−	0.388614i
$633$	23.7000	+	32.8255i	0.941989	+	1.30470i
$634$	2.39031	−	22.7423i	0.0949313	−	0.903211i
$635$	−36.8233	+	11.0456i	−1.46129	+	0.438333i
$636$	12.8697	+	5.77598i	0.510317	+	0.229032i
$637$	1.66558	−	15.8470i	0.0659928	−	0.627879i
$638$	12.5526	+	13.9411i	0.496963	+	0.551933i
$639$	12.0512	+	16.7966i	0.476736	+	0.664464i
$640$	−1.69531	+	1.45806i	−0.0670130	+	0.0576347i
$641$	−38.6514	−	8.21562i	−1.52664	−	0.324497i	−0.633310	−	0.773898i	$-0.718304\pi$
$641$	−38.6514	−	8.21562i	−1.52664	−	0.324497i	−0.893330	+	0.449401i	$0.851638\pi$
$642$	12.7267	−	4.09327i	0.502283	−	0.161548i
$643$	21.5000	+	15.6207i	0.847877	+	0.616019i	0.924560	−	0.381037i	$-0.124433\pi$
$643$	21.5000	+	15.6207i	0.847877	+	0.616019i	−0.0766827	+	0.997056i	$0.524433\pi$
$644$	−4.90697	−	2.18472i	−0.193362	−	0.0860902i
$645$	−18.0722	+	29.5218i	−0.711592	+	1.16242i
$646$	5.77408	+	3.33367i	0.227178	+	0.131161i
$647$	6.34056	+	8.72703i	0.249273	+	0.343095i	0.915256	−	0.402872i	$-0.131988\pi$
$647$	6.34056	+	8.72703i	0.249273	+	0.343095i	−0.665983	+	0.745966i	$0.731988\pi$
$648$	8.78040	+	1.97601i	0.344927	+	0.0776251i
$649$	−17.5386	+	5.69863i	−0.688449	+	0.223691i
$650$	−4.38979	+	11.6755i	−0.172182	+	0.457951i
$651$	−6.58031	+	3.69941i	−0.257903	+	0.144991i
$652$			21.5704i			0.844764i
$653$	10.1638	+	31.2810i	0.397740	+	1.22412i	0.926807	+	0.375539i	$0.122542\pi$
$653$	10.1638	+	31.2810i	0.397740	+	1.22412i	−0.529066	+	0.848581i	$0.677458\pi$
$654$	−4.20512	+	0.429309i	−0.164433	+	0.0167873i
$655$	5.09839	−	14.5565i	0.199211	−	0.568770i
$656$	6.66134	+	3.84593i	0.260082	+	0.150158i
$657$	7.61122	+	23.9089i	0.296942	+	0.932774i
$658$	−2.87854	+	6.46531i	−0.112217	+	0.252044i
$659$	−15.0703	+	20.7425i	−0.587055	+	0.808012i	−0.994447	−	0.105241i	$-0.966438\pi$
$659$	−15.0703	+	20.7425i	−0.587055	+	0.808012i	0.407391	+	0.913254i	$0.366438\pi$
$660$	11.8325	+	9.07067i	0.460579	+	0.353075i
$661$	−34.6032	−	7.35513i	−1.34591	−	0.286081i	−0.522067	−	0.852904i	$-0.674839\pi$
$661$	−34.6032	−	7.35513i	−1.34591	−	0.286081i	−0.823840	+	0.566823i	$0.808172\pi$
$662$	−30.6188	+	3.21817i	−1.19003	+	0.125078i
$663$	−10.4186	−	11.6406i	−0.404624	−	0.452082i
$664$	5.52749	−	4.97697i	0.214508	−	0.193144i
$665$	1.54998	+	2.83141i	0.0601056	+	0.109797i
$666$	7.98087	−	13.6349i	0.309252	−	0.528343i
$667$	31.8025	+	10.3332i	1.23140	+	0.400105i
$668$	5.85531	+	0.615417i	0.226549	+	0.0238112i
$669$	13.4501	+	18.6290i	0.520012	+	0.720239i
$670$	−0.397323	+	3.10043i	−0.0153499	+	0.119780i
$671$	16.7469	−	1.76017i	0.646508	−	0.0679507i
$672$	0.422814	−	1.28821i	0.0163104	−	0.0496939i
$673$	−11.7929	+	5.25052i	−0.454582	+	0.202393i	−0.621238	−	0.783622i	$-0.713370\pi$
$673$	−11.7929	+	5.25052i	−0.454582	+	0.202393i	0.166656	+	0.986015i	$0.446703\pi$
$674$	11.9138	+	8.65590i	0.458903	+	0.333413i
$675$	−23.1732	+	11.7475i	−0.891937	+	0.452160i
$676$	3.38824	+	5.86861i	0.130317	+	0.225716i
$677$	13.9447	+	8.05096i	0.535937	+	0.309424i	0.743431	−	0.668813i	$-0.233197\pi$
$677$	13.9447	+	8.05096i	0.535937	+	0.309424i	−0.207494	+	0.978236i	$0.566531\pi$
$678$	−0.588164	+	0.337243i	−0.0225883	+	0.0129518i
$679$	−1.31705	+	0.279947i	−0.0505437	+	0.0107434i
$680$	6.43066	+	4.89933i	0.246605	+	0.187881i
$681$	29.5098	+	3.19055i	1.13082	+	0.122262i
$682$	−20.3275	−	6.79553i	−0.778382	−	0.260214i
$683$	−9.93673			−0.380218			−0.190109	−	0.981763i	$-0.560884\pi$
$683$	−9.93673			−0.380218			−0.190109	+	0.981763i	$0.560884\pi$
$684$	0.545488	+	5.50543i	0.0208572	+	0.210505i
$685$	20.2653	−	21.5030i	0.774297	−	0.821587i
$686$	−6.15961	−	8.47797i	−0.235175	−	0.323691i
$687$	13.6912	+	10.0097i	0.522350	+	0.381893i
$688$	4.46867	+	7.73997i	0.170367	+	0.295083i
$689$	8.26394	−	18.5611i	0.314831	−	0.707122i
$690$	26.3500	+	3.45662i	1.00313	+	0.131591i
$691$	−45.3059	+	20.1715i	−1.72352	+	0.767359i	−0.726759	+	0.686893i	$0.758974\pi$
$691$	−45.3059	+	20.1715i	−1.72352	+	0.767359i	−0.996757	+	0.0804657i	$0.974359\pi$
$692$	−19.0061	−	4.03988i	−0.722504	−	0.153573i
$693$	−8.98479	−	0.998518i	−0.341304	−	0.0379306i
$694$	2.33985	+	2.10681i	0.0888195	+	0.0799734i
$695$	−26.7276	−	6.31946i	−1.01383	−	0.239711i
$696$	−1.77950	+	8.25092i	−0.0674519	+	0.312750i
$697$	8.59358	−	26.4483i	0.325505	−	1.00180i
$698$	4.91943	−	15.1404i	0.186203	−	0.573074i
$699$	−0.824738	+	3.82401i	−0.0311944	+	0.144637i
$700$	1.42776	+	3.64422i	0.0539642	+	0.137739i
$701$	−11.6824	−	10.5189i	−0.441239	−	0.397293i	0.418345	−	0.908288i	$-0.362610\pi$
$701$	−11.6824	−	10.5189i	−0.441239	−	0.397293i	−0.859584	+	0.510995i	$0.829277\pi$
$702$	2.80838	−	12.6550i	0.105995	−	0.477630i
$703$	9.49952	+	2.01919i	0.358281	+	0.0761550i
$704$	3.51673	−	1.56575i	0.132542	−	0.0590114i
$705$	4.55437	−	34.7182i	0.171527	−	1.30756i
$706$	8.32475	−	18.6977i	0.313306	−	0.703697i
$707$	6.38053	+	11.0514i	0.239964	+	0.415631i
$708$	−6.69814	−	4.89705i	−0.251731	−	0.184042i
$709$	−14.5758	−	20.0618i	−0.547404	−	0.753437i	0.442253	−	0.896890i	$-0.354179\pi$
$709$	−14.5758	−	20.0618i	−0.547404	−	0.753437i	−0.989657	+	0.143453i	$0.954179\pi$
$710$	−10.5679	+	11.2134i	−0.396607	+	0.420830i
$711$	−43.5879	+	4.31876i	−1.63467	+	0.161966i
$712$	−12.3521			−0.462915
$713$	−37.4361	+	7.62676i	−1.40199	+	0.285624i
$714$	−4.87350	−	0.526914i	−0.182386	−	0.0197193i
$715$	13.0138	−	17.0813i	0.486687	−	0.638806i
$716$	−18.1853	+	3.86540i	−0.679615	+	0.144457i
$717$	−9.21280	+	5.28246i	−0.344058	+	0.197277i
$718$	11.6498	+	6.72603i	0.434768	+	0.251013i
$719$	1.59815	+	2.76807i	0.0596008	+	0.103232i	0.894286	−	0.447495i	$-0.147684\pi$
$719$	1.59815	+	2.76807i	0.0596008	+	0.103232i	−0.834685	+	0.550727i	$0.814351\pi$
$720$	−0.192477	+	6.70544i	−0.00717320	+	0.249897i
$721$	1.12721	+	0.818967i	0.0419795	+	0.0304999i
$722$	14.2506	−	6.34476i	0.530351	−	0.236128i
$723$	11.0564	−	33.6861i	0.411191	−	1.25280i
$724$	17.9930	−	1.89114i	0.668705	−	0.0702837i
$725$	−11.2112	−	21.6336i	−0.416373	−	0.803451i
$726$	−3.87204	−	5.36294i	−0.143705	−	0.199037i
$727$	−23.7674	−	2.49805i	−0.881484	−	0.0926477i	−0.347039	−	0.937851i	$-0.612813\pi$
$727$	−23.7674	−	2.49805i	−0.881484	−	0.0926477i	−0.534445	+	0.845203i	$0.679479\pi$
$728$	−1.85724	−	0.603453i	−0.0688338	−	0.0223655i
$729$	22.1237	−	15.4771i	0.819397	−	0.573226i
$730$	−16.4047	+	8.98029i	−0.607164	+	0.332375i
$731$	24.0128	−	21.6212i	0.888145	−	0.799689i
$732$	5.05291	+	5.64557i	0.186761	+	0.208666i
$733$	−27.8461	+	2.92674i	−1.02852	+	0.108102i	−0.603728	−	0.797190i	$-0.706319\pi$
$733$	−27.8461	+	2.92674i	−1.02852	+	0.108102i	−0.424790	+	0.905292i	$0.639652\pi$
$734$	25.5916	+	5.43966i	0.944603	+	0.200782i
$735$	19.6327	+	15.0503i	0.724163	+	0.555137i
$736$	4.03328	−	5.55134i	0.148669	−	0.204625i
$737$	2.18876	−	4.91602i	0.0806238	−	0.181084i
$738$	21.9883	−	6.99981i	0.809400	−	0.257667i
$739$	33.7575	+	19.4899i	1.24179	+	0.716947i	0.969458	−	0.245257i	$-0.0788725\pi$
$739$	33.7575	+	19.4899i	1.24179	+	0.716947i	0.272330	+	0.962204i	$0.412206\pi$
$740$	11.1138	+	3.89260i	0.408553	+	0.143095i
$741$	7.92717	−	0.809301i	0.291212	−	0.0297304i
$742$	−1.97007	−	6.06325i	−0.0723235	−	0.222589i
$743$			33.1603i			1.21653i	0.793733	+	0.608266i	$0.208135\pi$
$743$			33.1603i			1.21653i	−0.793733	+	0.608266i	$0.791865\pi$
$744$	−2.87491	−	9.20516i	−0.105399	−	0.337477i
$745$	6.08564	−	4.21347i	0.222961	−	0.154370i
$746$	5.86547	−	1.90581i	0.214750	−	0.0697765i
$747$	0.132998	−	22.3135i	0.00486615	−	0.816408i
$748$	−8.18066	−	11.2597i	−0.299115	−	0.411696i
$749$	−5.23244	−	3.02095i	−0.191189	−	0.110383i
$750$	−11.9012	−	15.2762i	−0.434571	−	0.557806i
$751$	−23.8898	−	10.6364i	−0.871752	−	0.388129i	−0.0784213	−	0.996920i	$-0.524988\pi$
$751$	−23.8898	−	10.6364i	−0.871752	−	0.388129i	−0.793330	+	0.608792i	$0.791655\pi$
$752$	−7.31431	−	5.31416i	−0.266726	−	0.193787i
$753$	−3.21978	+	1.03557i	−0.117335	+	0.0377383i
$754$	11.8915	+	2.52762i	0.433063	+	0.0920503i
$755$	−19.1748	−	22.2949i	−0.697843	−	0.811394i
$756$	−2.00216	−	3.54058i	−0.0728180	−	0.128770i
$757$	9.91663	+	11.0135i	0.360426	+	0.400294i	0.895898	−	0.444259i	$-0.146533\pi$
$757$	9.91663	+	11.0135i	0.360426	+	0.400294i	−0.535472	+	0.844553i	$0.679866\pi$
$758$	−2.67436	+	25.4448i	−0.0971370	+	0.924197i
$759$	−41.7409	−	18.7335i	−1.51510	−	0.679982i
$760$	−3.94973	+	1.18477i	−0.143272	+	0.0429763i
$761$	2.76057	−	26.2651i	0.100071	−	0.952110i	−0.823146	−	0.567830i	$-0.807783\pi$
$761$	2.76057	−	26.2651i	0.100071	−	0.952110i	0.923217	−	0.384280i	$-0.125550\pi$
$762$	17.4317	+	24.1436i	0.631483	+	0.874631i
$763$	1.41966	+	1.27827i	0.0513953	+	0.0462765i
$764$	−11.3103	+	1.18876i	−0.409192	+	0.0430078i
$765$	23.8580	−	4.35974i	0.862588	−	0.157627i
$766$	−0.467907	−	1.05094i	−0.0169062	−	0.0379719i
$767$	−7.02450	+	9.66839i	−0.253640	+	0.349106i
$768$	1.49741	+	0.870492i	0.0540332	+	0.0314112i
$769$	−21.5871	−	37.3900i	−0.778451	−	1.34832i	−0.932834	−	0.360306i	$-0.882672\pi$
$769$	−21.5871	−	37.3900i	−0.778451	−	1.34832i	0.154383	−	0.988011i	$-0.450661\pi$
$770$	−0.551793	−	6.71547i	−0.0198853	−	0.242009i
$771$	28.6212	−	16.4109i	1.03077	−	0.591024i
$772$	1.10294	+	5.18892i	0.0396957	+	0.186753i
$773$	1.21802	−	0.395759i	0.0438092	−	0.0142345i	−0.287030	−	0.957921i	$-0.592668\pi$
$773$	1.21802	−	0.395759i	0.0438092	−	0.0142345i	0.330840	+	0.943687i	$0.392668\pi$
$774$	26.1924	+	5.73075i	0.941468	+	0.205988i
$775$	23.3237	+	15.1989i	0.837812	+	0.545959i
$776$		−	1.72010i		−	0.0617481i
$777$	−6.98855	+	1.46371i	−0.250713	+	0.0525102i
$778$	−22.1130	+	4.70026i	−0.792788	+	0.168512i
$779$	8.33761	+	11.4757i	0.298726	+	0.411161i
$780$	9.65872	+	0.248444i	0.345838	+	0.00889572i
$781$	22.9728	−	13.2633i	0.822031	−	0.474600i
$782$	−22.6637	−	10.0905i	−0.810452	−	0.360837i
$783$	14.7001	+	20.6181i	0.525338	+	0.736831i
$784$	5.83504	−	2.59793i	0.208394	−	0.0927831i
$785$	45.7576	−	19.1383i	1.63316	−	0.683075i
$786$	−11.9470	−	0.0356043i	−0.426135	−	0.00126996i
$787$	−24.1316	+	26.8009i	−0.860199	+	0.955348i	−0.999390	−	0.0349176i	$-0.988883\pi$
$787$	−24.1316	+	26.8009i	−0.860199	+	0.955348i	0.139191	+	0.990266i	$0.455550\pi$
$788$	−14.6203	+	13.1642i	−0.520827	+	0.468954i
$789$	1.51303	+	0.326321i	0.0538654	+	0.0116173i
$790$	−9.38015	−	31.2710i	−0.333731	−	1.11257i
$791$	0.291415	+	0.0946864i	0.0103615	+	0.00336666i
$792$	3.63412	−	10.9619i	0.129133	−	0.389515i
$793$	8.10967	−	7.30198i	0.287983	−	0.259301i
$794$	0.816461	+	0.735145i	0.0289751	+	0.0260893i
$795$	17.8781	+	25.9871i	0.634072	+	0.921666i
$796$	1.77485	−	8.35000i	0.0629078	−	0.295958i
$797$	−1.08225	−	2.43076i	−0.0383351	−	0.0861020i	0.893363	−	0.449336i	$-0.148339\pi$
$797$	−1.08225	−	2.43076i	−0.0383351	−	0.0861020i	−0.931698	+	0.363234i	$0.881673\pi$
$798$	1.67857	−	1.85310i	0.0594207	−	0.0655992i
$799$	−13.2951	+	29.8612i	−0.470345	+	1.05641i
$800$	−4.93294	+	0.816165i	−0.174406	+	0.0288558i
$801$	−24.9592	+	27.3900i	−0.881892	+	0.967777i
$802$	12.6060	−	9.15877i	0.445132	−	0.323407i
$803$	31.4929	−	6.69402i	1.11136	−	0.236227i
$804$	2.36981	−	0.496341i	0.0835766	−	0.0175046i
$805$	−6.83698	−	9.87484i	−0.240972	−	0.348042i
$806$	−13.2459	+	4.18027i	−0.466567	+	0.147244i
$807$	36.6314	+	3.96052i	1.28948	+	0.139417i
$808$	−15.5042	+	5.03763i	−0.545436	+	0.177223i
$809$	−49.3593	+	10.4916i	−1.73538	+	0.368866i	−0.963667	−	0.267105i	$-0.913933\pi$
$809$	−49.3593	+	10.4916i	−1.73538	+	0.368866i	−0.771712	+	0.635972i	$0.780600\pi$
$810$	14.4799	+	13.9761i	0.508773	+	0.491071i
$811$	20.6104	−	35.6983i	0.723729	−	1.25354i	−0.235766	−	0.971810i	$-0.575760\pi$
$811$	20.6104	−	35.6983i	0.723729	−	1.25354i	0.959495	−	0.281725i	$-0.0909067\pi$
$812$	3.30361	−	1.90734i	0.115934	−	0.0669344i
$813$	6.40349	−	11.0152i	0.224580	−	0.386321i
$814$	−16.4011	−	11.9161i	−0.574858	−	0.417659i
$815$	−25.0599	+	41.2119i	−0.877810	+	1.44359i
$816$	1.95284	−	5.94984i	0.0683631	−	0.208286i
$817$	1.72280	+	16.3913i	0.0602731	+	0.573460i
$818$	−15.4038	−	13.8696i	−0.538580	−	0.484940i
$819$	−5.09093	+	2.89893i	−0.177891	+	0.101297i
$820$	8.25890	+	15.0869i	0.288413	+	0.526857i
$821$	1.45987	−	4.49303i	0.0509500	−	0.156808i	−0.922344	−	0.386369i	$-0.873729\pi$
$821$	1.45987	−	4.49303i	0.0509500	−	0.156808i	0.973294	+	0.229561i	$0.0737291\pi$
$822$	−20.8809	−	9.37144i	−0.728305	−	0.326867i
$823$	5.19092	−	49.3883i	0.180944	−	1.72157i	−0.407649	−	0.913139i	$-0.633651\pi$
$823$	5.19092	−	49.3883i	0.180944	−	1.72157i	0.588593	−	0.808429i	$-0.299682\pi$
$824$	−1.32275	+	1.19101i	−0.0460802	+	0.0414908i
$825$	12.0688	+	31.0768i	0.420181	+	1.08196i
$826$	0.391973	+	3.72938i	0.0136385	+	0.129762i
$827$	−8.14966	+	38.3412i	−0.283392	+	1.33325i	0.574113	+	0.818776i	$0.305347\pi$
$827$	−8.14966	+	38.3412i	−0.283392	+	1.33325i	−0.857505	+	0.514476i	$0.827986\pi$
$828$	−4.15987	−	20.1608i	−0.144566	−	0.700636i
$829$	−26.2787	+	36.1696i	−0.912698	+	1.25622i	0.0535388	+	0.998566i	$0.482950\pi$
$829$	−26.2787	+	36.1696i	−0.912698	+	1.25622i	−0.966237	+	0.257655i	$0.917050\pi$
$830$	16.3428	−	3.08720i	0.567266	−	0.107158i
$831$	−9.59588	−	21.7267i	−0.332878	−	0.753692i
$832$	1.24735	−	2.16047i	0.0432440	−	0.0749009i
$833$	−13.5735	−	18.6824i	−0.470295	−	0.647306i
$834$	2.16067	+	21.1639i	0.0748178	+	0.732846i
$835$	10.4720	+	7.97832i	0.362399	+	0.276101i
$836$	7.09906			0.245526
$837$	−26.2210	−	12.2254i	−0.906329	−	0.422573i
$838$		−	0.572876i		−	0.0197897i
$839$	−22.0197	+	7.15464i	−0.760205	+	0.247006i	−0.663367	−	0.748294i	$-0.730873\pi$
$839$	−22.0197	+	7.15464i	−0.760205	+	0.247006i	−0.0968386	+	0.995300i	$0.530873\pi$
$840$	2.30442	−	1.97001i	0.0795102	−	0.0679719i
$841$	4.24888	−	3.08699i	0.146513	−	0.106448i
$842$	19.7806	−	34.2611i	0.681686	−	1.18071i
$843$	−28.1817	+	12.4468i	−0.970628	+	0.428690i
$844$	21.3543	+	9.50756i	0.735046	+	0.327264i
$845$	−0.344488	+	15.1488i	−0.0118507	+	0.521134i
$846$	−26.5634	+	5.48095i	−0.913269	+	0.188439i
$847$	−0.621540	+	2.92412i	−0.0213564	+	0.100474i
$848$	8.09973	−	0.851316i	0.278146	−	0.0292343i
$849$	−0.162768	−	0.181859i	−0.00558617	−	0.00624137i
$850$	6.59436	+	16.8315i	0.226185	+	0.577315i
$851$	−35.9385	−	3.77729i	−1.23196	−	0.129484i
$852$	10.8890	+	4.88701i	0.373049	+	0.167426i
$853$	35.9515	+	11.6813i	1.23096	+	0.399962i	0.851060	−	0.525068i	$-0.175960\pi$
$853$	35.9515	+	11.6813i	1.23096	+	0.399962i	0.379895	+	0.925030i	$0.375960\pi$
$854$	0.357923	−	3.40541i	0.0122479	−	0.116531i
$855$	−5.35385	+	11.1523i	−0.183098	+	0.381399i
$856$	5.16466	−	5.73593i	0.176524	−	0.196050i
$857$	−4.47897	−	42.6145i	−0.152999	−	1.45568i	−0.754230	−	0.656610i	$-0.771990\pi$
$857$	−4.47897	−	42.6145i	−0.152999	−	1.45568i	0.601232	−	0.799075i	$-0.294677\pi$
$858$	−15.8042	−	5.18720i	−0.539545	−	0.177088i
$859$	−10.5701	−	23.7408i	−0.360647	−	0.810025i	−0.999182	−	0.0404332i	$-0.987126\pi$
$859$	−10.5701	−	23.7408i	−0.360647	−	0.810025i	0.638536	−	0.769592i	$-0.279540\pi$
$860$	−0.454336	+	19.9793i	−0.0154927	+	0.681290i
$861$	−9.01604	−	5.24130i	−0.307266	−	0.178623i
$862$	21.5628	−	12.4493i	0.734432	−	0.424025i
$863$	27.6159	+	15.9441i	0.940057	+	0.542742i	0.889978	−	0.456003i	$-0.150719\pi$
$863$	27.6159	+	15.9441i	0.940057	+	0.542742i	0.0500789	+	0.998745i	$0.484053\pi$
$864$	4.95599	−	1.56145i	0.168606	−	0.0531217i
$865$	−31.6192	−	29.7992i	−1.07508	−	1.01320i
$866$	−0.0207225	−	0.0637774i	−0.000704181	−	0.00216725i
$867$	6.76515	+	0.731436i	0.229756	+	0.0248409i
$868$	−2.21105	+	3.75588i	−0.0750478	+	0.127483i
$869$			56.2050i			1.90662i
$870$	−12.9855	+	13.6966i	−0.440251	+	0.464359i
$871$	−0.725056	−	3.41112i	−0.0245676	−	0.115581i
$872$	−1.97436	+	1.43446i	−0.0668603	+	0.0485769i
$873$	−3.81421	−	3.47571i	−0.129091	−	0.117635i
$874$	10.9588	−	6.32705i	0.370686	−	0.214016i
$875$	−1.50591	+	8.62128i	−0.0509091	+	0.291453i
$876$	10.7365	+	9.72532i	0.362754	+	0.328588i
$877$	−16.7766	−	37.6809i	−0.566506	−	1.27239i	−0.938859	−	0.344302i	$-0.888116\pi$
$877$	−16.7766	−	37.6809i	−0.566506	−	1.27239i	0.372353	−	0.928091i	$-0.378551\pi$
$878$	8.73219	+	1.85609i	0.294697	+	0.0626398i
$879$	−0.0542510	+	18.2039i	−0.00182984	+	0.614002i
$880$	8.53802	+	1.09415i	0.287816	+	0.0368839i
$881$	−37.1411	−	41.2494i	−1.25132	−	1.38973i	−0.889151	−	0.457614i	$-0.848704\pi$
$881$	−37.1411	−	41.2494i	−1.25132	−	1.38973i	−0.362166	−	0.932114i	$-0.617963\pi$
$882$	6.02982	−	18.1883i	0.203035	−	0.612431i
$883$	7.28052	−	22.4071i	0.245009	−	0.754060i	−0.750626	−	0.660727i	$-0.770248\pi$
$883$	7.28052	−	22.4071i	0.245009	−	0.754060i	0.995635	−	0.0933328i	$-0.0297521\pi$
$884$	−8.57798	−	2.78715i	−0.288509	−	0.0937421i
$885$	−7.10804	−	17.1379i	−0.238934	−	0.576083i
$886$	5.42118	+	6.02084i	0.182128	+	0.202274i
$887$	23.3701	−	25.9551i	0.784690	−	0.871486i	−0.209645	−	0.977778i	$-0.567231\pi$
$887$	23.3701	−	25.9551i	0.784690	−	0.871486i	0.994335	+	0.106291i	$0.0338975\pi$
$888$	0.0271837	−	9.12147i	0.000912225	−	0.306096i
$889$	2.79814	−	13.1642i	0.0938465	−	0.441513i
$890$	−23.5996	−	14.3503i	−0.791062	−	0.481024i
$891$	−16.9640	−	30.2086i	−0.568317	−	1.01203i
$892$	12.1189	+	5.39569i	0.405772	+	0.180661i
$893$	−8.33638	−	14.4390i	−0.278966	−	0.483184i
$894$	−4.62843	−	3.38387i	−0.154798	−	0.113174i
$895$	−39.2350	−	13.7420i	−1.31148	−	0.459344i
$896$	−0.162750	−	0.765680i	−0.00543711	−	0.0255796i
$897$	−29.0199	+	6.07803i	−0.968946	+	0.202940i
$898$	10.5385			0.351674
$899$	11.2453	−	24.6928i	0.375051	−	0.823551i
$900$	−8.15792	+	12.5876i	−0.271931	+	0.419587i
$901$	−9.09911	−	28.0042i	−0.303135	−	0.932955i
$902$	−6.15629	−	28.9631i	−0.204982	−	0.964365i
$903$	−6.02744	−	10.5121i	−0.200581	−	0.349819i
$904$	−0.195719	+	0.338995i	−0.00650951	+	0.0112748i
$905$	36.5740	+	17.2906i	1.21576	+	0.574758i
$906$	−11.4478	+	19.6924i	−0.380327	+	0.654235i
$907$	−3.89277	+	5.35793i	−0.129257	+	0.177907i	−0.868740	−	0.495268i	$-0.835070\pi$
$907$	−3.89277	+	5.35793i	−0.129257	+	0.177907i	0.739483	+	0.673175i	$0.235070\pi$
$908$	15.6552	−	6.97016i	0.519537	−	0.231313i
$909$	−20.1579	+	44.5588i	−0.668596	+	1.47792i
$910$	−2.84731	−	3.31062i	−0.0943875	−	0.109746i
$911$	31.9866	−	35.5247i	1.05976	−	1.17699i	0.0760742	−	0.997102i	$-0.475761\pi$
$911$	31.9866	−	35.5247i	1.05976	−	1.17699i	0.983688	−	0.179883i	$-0.0575719\pi$
$912$	1.86975	+	2.58969i	0.0619136	+	0.0857531i
$913$	−28.4759	−	2.99294i	−0.942415	−	0.0990518i
$914$	−0.968749	+	2.98150i	−0.0320434	+	0.0986193i
$915$	3.09510	+	16.6566i	0.102321	+	0.550650i
$916$	9.73822	+	1.02353i	0.321760	+	0.0338183i
$917$	3.61288	+	4.01251i	0.119308	+	0.132505i
$918$	−9.24735	−	16.3528i	−0.305208	−	0.539723i
$919$	−3.01896	−	28.7235i	−0.0995863	−	0.947500i	−0.924227	−	0.381843i	$-0.875289\pi$
$919$	−3.01896	−	28.7235i	−0.0995863	−	0.947500i	0.824641	−	0.565657i	$-0.191377\pi$
$920$	14.1553	−	5.92049i	0.466685	−	0.195193i
$921$	12.9991	+	40.4166i	0.428336	+	1.33177i
$922$	9.76449	+	7.09432i	0.321576	+	0.233639i
$923$	6.99206	−	15.7044i	0.230146	−	0.516917i
$924$	−4.77438	+	2.10866i	−0.157066	+	0.0693700i
$925$	16.7115	+	20.3488i	0.549471	+	0.669065i
$926$	−25.7813	+	18.7312i	−0.847227	+	0.615547i
$927$	−0.0318270	+	5.33971i	−0.00104534	+	0.175379i
$928$	1.50590	+	4.63469i	0.0494337	+	0.152141i
$929$	47.4534			1.55690			0.778448	−	0.627709i	$-0.216007\pi$
$929$	47.4534			1.55690			0.778448	+	0.627709i	$0.216007\pi$
$930$	5.20154	−	20.9271i	0.170565	−	0.686227i
$931$	11.7789			0.386038
$932$	0.697933	+	2.14802i	0.0228616	+	0.0703606i
$933$	−2.71622	−	26.6056i	−0.0889252	−	0.871029i
$934$	−21.3949	+	15.5443i	−0.700062	+	0.508625i
$935$	−2.54855	−	31.0166i	−0.0833467	−	1.01435i
$936$	−2.27025	−	7.13145i	−0.0742053	−	0.233099i
$937$	21.0658	−	47.3147i	0.688191	−	1.54570i	−0.143004	−	0.989722i	$-0.545676\pi$
$937$	21.0658	−	47.3147i	0.688191	−	1.54570i	0.831195	−	0.555981i	$-0.187657\pi$
$938$	−0.885270	−	0.643186i	−0.0289051	−	0.0210008i
$939$	5.29150	−	1.70190i	0.172682	−	0.0555393i
$940$	−7.80070	−	18.6506i	−0.254431	−	0.608317i
$941$	−2.46551	−	23.4577i	−0.0803732	−	0.764700i	−0.958273	−	0.285855i	$-0.907722\pi$
$941$	−2.46551	−	23.4577i	−0.0803732	−	0.764700i	0.877900	−	0.478845i	$-0.158944\pi$
$942$	−25.6221	−	28.6274i	−0.834814	−	0.932730i
$943$	−35.3169	−	39.2233i	−1.15008	−	1.27729i
$944$	−4.76424	−	0.500741i	−0.155063	−	0.0162977i
$945$	0.288058	−	9.09059i	0.00937054	−	0.295717i
$946$	10.6316	−	32.7208i	0.345664	−	1.06385i
$947$	−28.9661	−	3.04446i	−0.941271	−	0.0989316i	−0.378552	−	0.925580i	$-0.623578\pi$
$947$	−28.9661	−	3.04446i	−0.941271	−	0.0989316i	−0.562719	+	0.826648i	$0.690245\pi$
$948$	−20.5032	+	14.8033i	−0.665913	+	0.480788i
$949$	13.9614	−	15.5057i	0.453205	−	0.503335i
$950$	−8.92269	−	2.32508i	−0.289490	−	0.0754357i
$951$	−37.6326	−	12.3517i	−1.22032	−	0.400531i
$952$	−2.58544	+	1.15111i	−0.0837945	+	0.0373077i
$953$	6.72177	−	9.25172i	0.217739	−	0.299693i	−0.686149	−	0.727461i	$-0.740700\pi$
$953$	6.72177	−	9.25172i	0.217739	−	0.299693i	0.903888	+	0.427769i	$0.140700\pi$
$954$	14.4789	−	19.6808i	0.468773	−	0.637189i
$955$	−22.9902	−	10.8687i	−0.743945	−	0.351704i
$956$	−3.06567	+	5.30990i	−0.0991509	+	0.171734i
$957$	28.1877	−	16.1624i	0.911179	−	0.522455i
$958$	−6.13390	−	28.8577i	−0.198177	−	0.932351i
$959$	3.19641	+	9.83754i	0.103218	+	0.317671i
$960$	1.84960	+	3.40279i	0.0596957	+	0.109824i
$961$	2.71815	+	30.8806i	0.0876823	+	0.996148i
$962$	−13.1378			−0.423581
$963$	−2.28310	−	23.0425i	−0.0735717	−	0.742536i
$964$	−4.25584	−	20.0222i	−0.137071	−	0.644871i
$965$	−3.92109	+	11.1952i	−0.126224	+	0.360386i
$966$	−5.49083	+	7.51031i	−0.176665	+	0.241640i
$967$	−12.4673	−	21.5940i	−0.400921	−	0.694416i	0.592916	−	0.805264i	$-0.297976\pi$
$967$	−12.4673	−	21.5940i	−0.400921	−	0.694416i	−0.993837	+	0.110849i	$0.964643\pi$
$968$	−3.48881	−	1.55332i	−0.112135	−	0.0499255i
$969$	7.75277	−	8.55889i	0.249055	−	0.274951i
$970$	1.99836	−	3.28638i	0.0641636	−	0.105519i
$971$	8.94143	−	42.0661i	0.286944	−	1.34997i	−0.564462	−	0.825459i	$-0.690916\pi$
$971$	8.94143	−	42.0661i	0.286944	−	1.34997i	0.851406	−	0.524507i	$-0.175750\pi$
$972$	6.55189	−	14.1447i	0.210152	−	0.453692i
$973$	6.43340	−	7.14502i	0.206245	−	0.229059i
$974$	15.2455	+	16.9318i	0.488497	+	0.542531i
$975$	18.1651	+	11.6959i	0.581748	+	0.374568i
$976$	4.16024	+	1.35174i	0.133166	+	0.0432682i
$977$	−9.32407	+	28.6965i	−0.298303	+	0.918083i	0.683788	+	0.729680i	$0.260331\pi$
$977$	−9.32407	+	28.6965i	−0.298303	+	0.918083i	−0.982092	+	0.188403i	$0.939669\pi$
$978$	36.5214	+	7.87668i	1.16782	+	0.251869i
$979$	31.8172	+	35.3366i	1.01688	+	1.12936i
$980$	14.1665	+	1.81544i	0.452531	+	0.0579922i
$981$	−0.808673	+	7.27654i	−0.0258189	+	0.232322i
$982$	8.46919	+	1.80018i	0.270263	+	0.0574461i
$983$	13.7310	+	30.8402i	0.437950	+	0.983651i	0.988827	+	0.149065i	$0.0476264\pi$
$983$	13.7310	+	30.8402i	0.437950	+	0.983651i	−0.550878	+	0.834586i	$0.685707\pi$
$984$	8.94409	−	9.87408i	0.285127	−	0.314774i
$985$	−43.2269	+	8.16570i	−1.37732	+	0.260181i
$986$	15.2583	−	8.80937i	0.485923	−	0.280548i
$987$	9.89542	+	7.23460i	0.314975	+	0.230280i
$988$	3.72192	−	2.70413i	0.118410	−	0.0860299i
$989$	−12.7505	−	59.9864i	−0.405442	−	1.90746i
$990$	19.6785	−	16.7216i	0.625424	−	0.531446i
$991$		−	27.1870i		−	0.863622i	−0.901964	−	0.431811i	$-0.857875\pi$
$991$		−	27.1870i		−	0.863622i	0.901964	−	0.431811i	$-0.142125\pi$
$992$	−4.10598	−	3.76044i	−0.130365	−	0.119394i
$993$	−5.73205	+	53.0165i	−0.181901	+	1.68243i
$994$	−1.66686	−	5.13007i	−0.0528696	−	0.162716i
$995$	13.0918	−	13.8913i	0.415037	−	0.440385i
$996$	−6.40819	−	11.1761i	−0.203051	−	0.354128i
$997$	36.2786	+	20.9455i	1.14896	+	0.663350i	0.948633	−	0.316380i	$-0.102467\pi$
$997$	36.2786	+	20.9455i	1.14896	+	0.663350i	0.200323	+	0.979730i	$0.435801\pi$
$998$	−6.30308	+	3.63908i	−0.199520	+	0.115193i
$999$	−20.1713	−	18.4915i	−0.638191	−	0.585046i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.179.1	yes	256
3.2	odd	2		930.2.bo.a.179.4	✓	256
5.4	even	2		930.2.bo.a.179.32	yes	256
15.14	odd	2	inner	930.2.bo.b.179.29	yes	256
31.22	odd	30	inner	930.2.bo.b.239.29	yes	256
93.53	even	30		930.2.bo.a.239.32	yes	256
155.84	odd	30		930.2.bo.a.239.4	yes	256
465.239	even	30	inner	930.2.bo.b.239.1	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.4	✓	256	3.2	odd	2
930.2.bo.a.179.32	yes	256	5.4	even	2
930.2.bo.a.239.4	yes	256	155.84	odd	30
930.2.bo.a.239.32	yes	256	93.53	even	30
930.2.bo.b.179.1	yes	256	1.1	even	1	trivial
930.2.bo.b.179.29	yes	256	15.14	odd	2	inner
930.2.bo.b.239.1	yes	256	465.239	even	30	inner
930.2.bo.b.239.29	yes	256	31.22	odd	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.72309 + 0.175914i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.22856 + 0.183115i) q^{5} +(0.699770 + 1.58440i) q^{6} +(0.318388 - 0.715111i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.93811 - 0.606234i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.72309 + 0.175914i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.22856 + 0.183115i) q^{5} +(0.699770 + 1.58440i) q^{6} +(0.318388 - 0.715111i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.93811 - 0.606234i) q^{9} +(0.862815 + 2.06290i) q^{10} +(-0.402387 - 3.82845i) q^{11} +(1.29061 - 1.15513i) q^{12} +(-1.66928 - 1.85392i) q^{13} +(-0.778498 - 0.0818234i) q^{14} +(3.80780 - 0.707560i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-3.59563 - 0.377916i) q^{17} +(-1.48449 - 2.60697i) q^{18} +(1.23396 - 1.37046i) q^{19} +(1.69531 - 1.45806i) q^{20} +(-0.422814 + 1.28821i) q^{21} +(-3.51673 + 1.56575i) q^{22} +(-4.03328 + 5.55134i) q^{23} +(-1.49741 - 0.870492i) q^{24} +(4.93294 - 0.816165i) q^{25} +(-1.24735 + 2.16047i) q^{26} +(-4.95599 + 1.56145i) q^{27} +(0.162750 + 0.765680i) q^{28} +(-1.50590 - 4.63469i) q^{29} +(-1.84960 - 3.40279i) q^{30} +(4.10598 + 3.76044i) q^{31} -1.00000 q^{32} +(1.36683 + 6.52600i) q^{33} +(0.751691 + 3.53643i) q^{34} +(-0.578598 + 1.65197i) q^{35} +(-2.02064 + 2.21743i) q^{36} +(2.63315 + 4.56075i) q^{37} +(-1.68470 - 0.750075i) q^{38} +(3.20245 + 2.90083i) q^{39} +(-1.91057 - 1.16177i) q^{40} +(-1.59923 + 7.52377i) q^{41} +(1.35582 + 0.00404060i) q^{42} +(-5.98025 + 6.64174i) q^{43} +(2.57585 + 2.86077i) q^{44} +(-6.43673 + 1.88904i) q^{45} +(6.52599 + 2.12042i) q^{46} +(2.79382 - 8.59849i) q^{47} +(-0.365161 + 1.69312i) q^{48} +(4.27390 + 4.74665i) q^{49} +(-2.30058 - 4.43929i) q^{50} +(6.26209 + 0.0186622i) q^{51} +(2.44018 + 0.518677i) q^{52} +(3.31260 + 7.44023i) q^{53} +(3.01652 + 4.23091i) q^{54} +(1.59779 + 8.45825i) q^{55} +(0.677913 - 0.391393i) q^{56} +(-1.88515 + 2.57850i) q^{57} +(-3.94250 + 2.86440i) q^{58} +(-0.995997 - 4.68580i) q^{59} +(-2.66468 + 2.81060i) q^{60} +4.37433i q^{61} +(2.30758 - 5.06706i) q^{62} +(0.501934 - 2.29409i) q^{63} +(0.309017 + 0.951057i) q^{64} +(4.05956 + 3.82590i) q^{65} +(5.78422 - 3.31658i) q^{66} +(1.21061 + 0.698948i) q^{67} +(3.13106 - 1.80772i) q^{68} +(5.97317 - 10.2750i) q^{69} +(1.74991 + 0.0397935i) q^{70} +(2.80277 + 6.29512i) q^{71} +(2.73331 + 1.23652i) q^{72} +(0.874246 + 8.31790i) q^{73} +(3.52385 - 3.91363i) q^{74} +(-8.35634 + 2.27410i) q^{75} +(-0.192764 + 1.83403i) q^{76} +(-2.86588 - 0.931182i) q^{77} +(1.76924 - 3.94212i) q^{78} +(-14.5205 - 1.52616i) q^{79} +(-0.514509 + 2.17607i) q^{80} +(8.26496 - 3.56236i) q^{81} +(7.64972 - 0.804018i) q^{82} +(1.54644 - 7.27543i) q^{83} +(-0.415128 - 1.29071i) q^{84} +(8.08227 + 0.183793i) q^{85} +(8.16467 + 3.63515i) q^{86} +(3.41012 + 7.72110i) q^{87} +(1.92477 - 3.33380i) q^{88} +(-9.99308 + 7.26040i) q^{89} +(3.78564 + 5.53795i) q^{90} +(-1.85724 + 0.603453i) q^{91} -6.86183i q^{92} +(-7.73651 - 5.75730i) q^{93} -9.04099 q^{94} +(-2.49901 + 3.28010i) q^{95} +(1.72309 - 0.175914i) q^{96} +(-1.01105 - 1.39159i) q^{97} +(3.19362 - 5.53152i) q^{98} +(-3.50319 - 11.0045i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

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