LMFDB - Embedded newform 429.2.bj.b.73.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.1
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.b.382.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.50252 + 0.396361i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(4.20341 - 1.36577i) q^{4} +(-1.89481 - 0.300108i) q^{5} +(0.396361 - 2.50252i) q^{6} +(0.290317 - 0.569780i) q^{7} +(-5.46267 + 2.78337i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(-2.50252 + 0.396361i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(4.20341 - 1.36577i) q^{4} +(-1.89481 - 0.300108i) q^{5} +(0.396361 - 2.50252i) q^{6} +(0.290317 - 0.569780i) q^{7} +(-5.46267 + 2.78337i) q^{8} +(-0.809017 - 0.587785i) q^{9} +4.86076 q^{10} +(-0.324703 + 3.30069i) q^{11} +4.41972i q^{12} +(-0.290131 - 3.59386i) q^{13} +(-0.500688 + 1.54096i) q^{14} +(0.870948 - 1.70933i) q^{15} +(5.41597 - 3.93493i) q^{16} +(4.29189 - 3.11824i) q^{17} +(2.25756 + 1.15028i) q^{18} +(0.458975 + 0.900788i) q^{19} +(-8.37454 + 1.32640i) q^{20} +(0.452180 + 0.452180i) q^{21} +(-0.495688 - 8.38876i) q^{22} -2.73671i q^{23} +(-0.959083 - 6.05541i) q^{24} +(-1.25504 - 0.407788i) q^{25} +(2.15052 + 8.87872i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.442134 - 2.79152i) q^{28} +(4.40660 - 1.43179i) q^{29} +(-1.50206 + 4.62285i) q^{30} +(1.33754 + 8.44487i) q^{31} +(-3.32354 + 3.32354i) q^{32} +(-3.03881 - 1.32878i) q^{33} +(-9.50460 + 9.50460i) q^{34} +(-0.721092 + 0.992498i) q^{35} +(-4.20341 - 1.36577i) q^{36} +(4.37690 + 2.23014i) q^{37} +(-1.50563 - 2.07232i) q^{38} +(3.50762 + 0.834632i) q^{39} +(11.1860 - 3.63456i) q^{40} +(-1.97153 - 3.86935i) q^{41} +(-1.31082 - 0.952365i) q^{42} +10.8310 q^{43} +(3.14313 + 14.3176i) q^{44} +(1.35653 + 1.35653i) q^{45} +(1.08472 + 6.84868i) q^{46} +(2.66698 + 5.23425i) q^{47} +(2.06872 + 6.36686i) q^{48} +(3.87413 + 5.33228i) q^{49} +(3.30241 + 0.523050i) q^{50} +(1.63935 + 5.04541i) q^{51} +(-6.12792 - 14.7102i) q^{52} +(6.40707 + 4.65501i) q^{53} +(-1.79161 + 1.79161i) q^{54} +(1.60582 - 6.15674i) q^{55} +3.92058i q^{56} +(-0.998532 + 0.158152i) q^{57} +(-10.4601 + 5.32970i) q^{58} +(2.06068 + 1.04997i) q^{59} +(1.32640 - 8.37454i) q^{60} +(5.93708 + 8.17169i) q^{61} +(-6.69443 - 20.6033i) q^{62} +(-0.569780 + 0.290317i) q^{63} +(-0.869942 + 1.19737i) q^{64} +(-0.528804 + 6.89675i) q^{65} +(8.13136 + 2.12084i) q^{66} +(-5.57919 - 5.57919i) q^{67} +(13.7817 - 18.9689i) q^{68} +(2.60277 + 0.845690i) q^{69} +(1.41116 - 2.76956i) q^{70} +(3.89243 + 0.616500i) q^{71} +(6.05541 + 0.959083i) q^{72} +(3.45611 - 6.78300i) q^{73} +(-11.8372 - 3.84615i) q^{74} +(0.775659 - 1.06760i) q^{75} +(3.15953 + 3.15953i) q^{76} +(1.78640 + 1.14326i) q^{77} +(-9.10871 - 0.698404i) q^{78} +(-2.79028 + 3.84049i) q^{79} +(-11.4431 + 5.83057i) q^{80} +(0.309017 + 0.951057i) q^{81} +(6.46746 + 8.90170i) q^{82} +(0.289576 - 1.82831i) q^{83} +(2.51827 + 1.28312i) q^{84} +(-9.06812 + 4.62044i) q^{85} +(-27.1048 + 4.29298i) q^{86} +4.63338i q^{87} +(-7.41330 - 18.9344i) q^{88} +(4.38950 - 4.38950i) q^{89} +(-3.93243 - 2.85708i) q^{90} +(-2.13194 - 0.878049i) q^{91} +(-3.73772 - 11.5035i) q^{92} +(-8.44487 - 1.33754i) q^{93} +(-8.74884 - 12.0417i) q^{94} +(-0.599335 - 1.84456i) q^{95} +(-2.13385 - 4.18791i) q^{96} +(-2.46329 - 15.5526i) q^{97} +(-11.8086 - 11.8086i) q^{98} +(2.20279 - 2.47946i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

Coefficient data

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

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

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

$2$	−2.50252	+	0.396361i	−1.76955	+	0.280269i	−0.954303	−	0.298842i	$-0.903400\pi$
$2$	−2.50252	+	0.396361i	−1.76955	+	0.280269i	−0.815248	+	0.579111i	$0.803400\pi$
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	4.20341	−	1.36577i	2.10170	−	0.682885i
$5$	−1.89481	−	0.300108i	−0.847385	−	0.134213i	−0.282382	−	0.959302i	$-0.591125\pi$
$5$	−1.89481	−	0.300108i	−0.847385	−	0.134213i	−0.565002	+	0.825089i	$0.691125\pi$
$6$	0.396361	−	2.50252i	0.161814	−	1.02165i
$7$	0.290317	−	0.569780i	0.109730	−	0.215357i	−0.829611	−	0.558341i	$-0.811438\pi$
$7$	0.290317	−	0.569780i	0.109730	−	0.215357i	0.939341	+	0.342985i	$0.111438\pi$
$8$	−5.46267	+	2.78337i	−1.93134	+	0.984069i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	4.86076			1.53711
$11$	−0.324703	+	3.30069i	−0.0979016	+	0.995196i
$11$	−0.324703	+	3.30069i	−0.0979016	+	0.995196i
$12$			4.41972i			1.27586i
$13$	−0.290131	−	3.59386i	−0.0804679	−	0.996757i
$13$	−0.290131	−	3.59386i	−0.0804679	−	0.996757i
$14$	−0.500688	+	1.54096i	−0.133814	+	0.411838i
$15$	0.870948	−	1.70933i	0.224878	−	0.441348i
$16$	5.41597	−	3.93493i	1.35399	−	0.983733i
$17$	4.29189	−	3.11824i	1.04094	−	0.756284i	0.0704673	−	0.997514i	$-0.477551\pi$
$17$	4.29189	−	3.11824i	1.04094	−	0.756284i	0.970468	+	0.241230i	$0.0775509\pi$
$18$	2.25756	+	1.15028i	0.532112	+	0.271124i
$19$	0.458975	+	0.900788i	0.105296	+	0.206655i	0.937643	−	0.347600i	$-0.113003\pi$
$19$	0.458975	+	0.900788i	0.105296	+	0.206655i	−0.832347	+	0.554255i	$0.813003\pi$
$20$	−8.37454	+	1.32640i	−1.87260	+	0.296591i
$21$	0.452180	+	0.452180i	0.0986738	+	0.0986738i
$22$	−0.495688	−	8.38876i	−0.105681	−	1.78849i
$23$		−	2.73671i		−	0.570644i	−0.958432	−	0.285322i	$-0.907900\pi$
$23$		−	2.73671i		−	0.570644i	0.958432	−	0.285322i	$-0.0921005\pi$
$24$	−0.959083	−	6.05541i	−0.195772	−	1.23606i
$25$	−1.25504	−	0.407788i	−0.251009	−	0.0815577i
$26$	2.15052	+	8.87872i	0.421753	+	1.74126i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	0.442134	−	2.79152i	0.0835555	−	0.527549i
$29$	4.40660	−	1.43179i	0.818286	−	0.265877i	0.130183	−	0.991490i	$-0.458444\pi$
$29$	4.40660	−	1.43179i	0.818286	−	0.265877i	0.688103	+	0.725613i	$0.258444\pi$
$30$	−1.50206	+	4.62285i	−0.274237	+	0.844014i
$31$	1.33754	+	8.44487i	0.240229	+	1.51674i	0.752886	+	0.658151i	$0.228661\pi$
$31$	1.33754	+	8.44487i	0.240229	+	1.51674i	−0.512657	+	0.858593i	$0.671339\pi$
$32$	−3.32354	+	3.32354i	−0.587525	+	0.587525i
$33$	−3.03881	−	1.32878i	−0.528988	−	0.231311i
$34$	−9.50460	+	9.50460i	−1.63002	+	1.63002i
$35$	−0.721092	+	0.992498i	−0.121887	+	0.167763i
$36$	−4.20341	−	1.36577i	−0.700568	−	0.227628i
$37$	4.37690	+	2.23014i	0.719558	+	0.366633i	0.775113	−	0.631822i	$-0.217693\pi$
$37$	4.37690	+	2.23014i	0.719558	+	0.366633i	−0.0555549	+	0.998456i	$0.517693\pi$
$38$	−1.50563	−	2.07232i	−0.244246	−	0.336175i
$39$	3.50762	+	0.834632i	0.561669	+	0.133648i
$40$	11.1860	−	3.63456i	1.76867	−	0.574675i
$41$	−1.97153	−	3.86935i	−0.307902	−	0.604291i	0.684262	−	0.729236i	$-0.260124\pi$
$41$	−1.97153	−	3.86935i	−0.307902	−	0.604291i	−0.992164	+	0.124945i	$0.960124\pi$
$42$	−1.31082	−	0.952365i	−0.202264	−	0.146953i
$43$	10.8310			1.65171			0.825855	−	0.563883i	$-0.190693\pi$
$43$	10.8310			1.65171			0.825855	+	0.563883i	$0.190693\pi$
$44$	3.14313	+	14.3176i	0.473844	+	2.15846i
$45$	1.35653	+	1.35653i	0.202220	+	0.202220i
$46$	1.08472	+	6.84868i	0.159934	+	1.00978i
$47$	2.66698	+	5.23425i	0.389020	+	0.763494i	0.999595	−	0.0284644i	$-0.00906171\pi$
$47$	2.66698	+	5.23425i	0.389020	+	0.763494i	−0.610575	+	0.791958i	$0.709062\pi$
$48$	2.06872	+	6.36686i	0.298594	+	0.918977i
$49$	3.87413	+	5.33228i	0.553447	+	0.761755i
$50$	3.30241	+	0.523050i	0.467031	+	0.0739704i
$51$	1.63935	+	5.04541i	0.229556	+	0.706499i
$52$	−6.12792	−	14.7102i	−0.849790	−	2.03994i
$53$	6.40707	+	4.65501i	0.880079	+	0.639415i	0.933272	−	0.359170i	$-0.116940\pi$
$53$	6.40707	+	4.65501i	0.880079	+	0.639415i	−0.0531937	+	0.998584i	$0.516940\pi$
$54$	−1.79161	+	1.79161i	−0.243807	+	0.243807i
$55$	1.60582	−	6.15674i	0.216528	−	0.830174i
$56$			3.92058i			0.523910i
$57$	−0.998532	+	0.158152i	−0.132259	+	0.0209477i
$58$	−10.4601	+	5.32970i	−1.37348	+	0.699824i
$59$	2.06068	+	1.04997i	0.268278	+	0.136694i	0.582955	−	0.812504i	$-0.301896\pi$
$59$	2.06068	+	1.04997i	0.268278	+	0.136694i	−0.314677	+	0.949199i	$0.601896\pi$
$60$	1.32640	−	8.37454i	0.171237	−	1.08115i
$61$	5.93708	+	8.17169i	0.760165	+	1.04628i	0.997200	+	0.0747766i	$0.0238244\pi$
$61$	5.93708	+	8.17169i	0.760165	+	1.04628i	−0.237035	+	0.971501i	$0.576176\pi$
$62$	−6.69443	−	20.6033i	−0.850194	−	2.61663i
$63$	−0.569780	+	0.290317i	−0.0717856	+	0.0365766i
$64$	−0.869942	+	1.19737i	−0.108743	+	0.149672i
$65$	−0.528804	+	6.89675i	−0.0655900	+	0.855437i
$66$	8.13136	+	2.12084i	1.00090	+	0.261057i
$67$	−5.57919	−	5.57919i	−0.681607	−	0.681607i	0.278755	−	0.960362i	$-0.410078\pi$
$67$	−5.57919	−	5.57919i	−0.681607	−	0.681607i	−0.960362	+	0.278755i	$0.910078\pi$
$68$	13.7817	−	18.9689i	1.67128	−	2.30032i
$69$	2.60277	+	0.845690i	0.313336	+	0.101809i
$70$	1.41116	−	2.76956i	0.168666	−	0.331026i
$71$	3.89243	+	0.616500i	0.461946	+	0.0731651i	0.383070	−	0.923719i	$-0.374867\pi$
$71$	3.89243	+	0.616500i	0.461946	+	0.0731651i	0.0788762	+	0.996884i	$0.474867\pi$
$72$	6.05541	+	0.959083i	0.713637	+	0.113029i
$73$	3.45611	−	6.78300i	0.404507	−	0.793890i	−0.595448	−	0.803394i	$-0.703025\pi$
$73$	3.45611	−	6.78300i	0.404507	−	0.793890i	0.999955	+	0.00950422i	$0.00302533\pi$
$74$	−11.8372	−	3.84615i	−1.37605	−	0.447106i
$75$	0.775659	−	1.06760i	0.0895654	−	0.123276i
$76$	3.15953	+	3.15953i	0.362423	+	0.362423i
$77$	1.78640	+	1.14326i	0.203579	+	0.130286i
$78$	−9.10871	−	0.698404i	−1.03136	−	0.0790787i
$79$	−2.79028	+	3.84049i	−0.313931	+	0.432089i	−0.936602	−	0.350395i	$-0.886047\pi$
$79$	−2.79028	+	3.84049i	−0.313931	+	0.432089i	0.622671	+	0.782483i	$0.286047\pi$
$80$	−11.4431	+	5.83057i	−1.27938	+	0.651878i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	6.46746	+	8.90170i	0.714212	+	0.983028i
$83$	0.289576	−	1.82831i	0.0317850	−	0.200683i	−0.966686	−	0.255967i	$-0.917606\pi$
$83$	0.289576	−	1.82831i	0.0317850	−	0.200683i	0.998471	+	0.0552836i	$0.0176063\pi$
$84$	2.51827	+	1.28312i	0.274766	+	0.140000i
$85$	−9.06812	+	4.62044i	−0.983575	+	0.501157i
$86$	−27.1048	+	4.29298i	−2.92279	+	0.462924i
$87$			4.63338i			0.496750i
$88$	−7.41330	−	18.9344i	−0.790260	−	2.01841i
$89$	4.38950	−	4.38950i	0.465286	−	0.465286i	−0.435097	−	0.900383i	$-0.643286\pi$
$89$	4.38950	−	4.38950i	0.465286	−	0.465286i	0.900383	+	0.435097i	$0.143286\pi$
$90$	−3.93243	−	2.85708i	−0.414515	−	0.301163i
$91$	−2.13194	−	0.878049i	−0.223488	−	0.0920446i
$92$	−3.73772	−	11.5035i	−0.389684	−	1.19932i
$93$	−8.44487	−	1.33754i	−0.875693	−	0.138696i
$94$	−8.74884	−	12.0417i	−0.902374	−	1.24201i
$95$	−0.599335	−	1.84456i	−0.0614905	−	0.189248i
$96$	−2.13385	−	4.18791i	−0.217785	−	0.427427i
$97$	−2.46329	−	15.5526i	−0.250109	−	1.57913i	−0.718449	−	0.695579i	$-0.755148\pi$
$97$	−2.46329	−	15.5526i	−0.250109	−	1.57913i	0.468340	−	0.883548i	$-0.344852\pi$
$98$	−11.8086	−	11.8086i	−1.19285	−	1.19285i
$99$	2.20279	−	2.47946i	0.221389	−	0.249195i
$100$	−5.83240			−0.583240
$101$	−7.08745	−	5.14934i	−0.705228	−	0.512378i	0.176403	−	0.984318i	$-0.443554\pi$
$101$	−7.08745	−	5.14934i	−0.705228	−	0.512378i	−0.881631	+	0.471940i	$0.843554\pi$
$102$	−6.10233	−	11.9765i	−0.604220	−	1.18585i
$103$	−11.4361	+	3.71581i	−1.12683	+	0.366129i	−0.812371	−	0.583141i	$-0.801823\pi$
$103$	−11.4361	+	3.71581i	−1.12683	+	0.366129i	−0.314460	+	0.949271i	$0.601823\pi$
$104$	11.5879	+	18.8245i	1.13629	+	1.84590i
$105$	−0.721092	−	0.992498i	−0.0703714	−	0.0968579i
$106$	−17.8789	−	9.10975i	−1.73655	−	0.884818i
$107$	8.84911	+	2.87525i	0.855476	+	0.277961i	0.703738	−	0.710460i	$-0.251513\pi$
$107$	8.84911	+	2.87525i	0.855476	+	0.277961i	0.151738	+	0.988421i	$0.451513\pi$
$108$	2.59785	−	3.57563i	0.249978	−	0.344065i
$109$	10.4375	−	10.4375i	0.999729	−	0.999729i	−0.000271346	−	1.00000i	$-0.500086\pi$
$109$	10.4375	−	10.4375i	0.999729	−	0.999729i	1.00000		0.000271346i	$8.63721e-5\pi$
$110$	−1.57830	+	16.0439i	−0.150485	+	1.52972i
$111$	−3.47353	+	3.47353i	−0.329693	+	0.329693i
$112$	−0.669696	−	4.22829i	−0.0632803	−	0.399536i
$113$	−0.141426	+	0.435264i	−0.0133042	+	0.0409462i	−0.957488	−	0.288472i	$-0.906853\pi$
$113$	−0.141426	+	0.435264i	−0.0133042	+	0.0409462i	0.944184	+	0.329419i	$0.106853\pi$
$114$	2.43616	−	0.791557i	0.228168	−	0.0741361i
$115$	−0.821310	+	5.18555i	−0.0765875	+	0.483555i
$116$	16.5672	−	12.0368i	1.53823	−	1.11759i
$117$	−1.87770	+	3.07803i	−0.173593	+	0.284564i
$118$	−5.57307	−	1.81080i	−0.513043	−	0.166698i
$119$	−0.530700	−	3.35071i	−0.0486492	−	0.307159i
$120$			11.7617i			1.07369i
$121$	−10.7891	−	2.14349i	−0.980831	−	0.194863i
$122$	−18.0966	−	18.0966i	−1.63839	−	1.63839i
$123$	4.28921	−	0.679344i	0.386745	−	0.0612544i
$124$	17.1560	+	33.6705i	1.54065	+	3.02370i
$125$	10.8024	+	5.50407i	0.966192	+	0.492299i
$126$	1.31082	−	0.952365i	0.116777	−	0.0848434i
$127$	−4.30958	+	3.13109i	−0.382413	+	0.277839i	−0.762340	−	0.647177i	$-0.775949\pi$
$127$	−4.30958	+	3.13109i	−0.382413	+	0.277839i	0.379926	+	0.925017i	$0.375949\pi$
$128$	5.97015	−	11.7171i	0.527692	−	1.03565i
$129$	−3.34696	+	10.3009i	−0.294683	+	0.906942i
$130$	−1.41026	−	17.4689i	−0.123688	−	1.53212i
$131$		−	16.5882i		−	1.44931i	−0.689109	−	0.724657i	$-0.741998\pi$
$131$		−	16.5882i		−	1.44931i	0.689109	−	0.724657i	$-0.258002\pi$
$132$	−14.5881	−	1.43510i	−1.26974	−	0.124909i
$133$	0.646500			0.0560586
$134$	16.1734	+	11.7507i	1.39717	+	1.01510i
$135$	−1.70933	+	0.870948i	−0.147116	+	0.0749593i
$136$	−14.7659	+	28.9798i	−1.26617	+	2.48500i
$137$	0.748511	−	4.72592i	0.0639496	−	0.403762i	−0.934861	−	0.355013i	$-0.884476\pi$
$137$	0.748511	−	4.72592i	0.0639496	−	0.403762i	0.998811	−	0.0487493i	$-0.0155235\pi$
$138$	−6.84868	−	1.08472i	−0.582998	−	0.0923379i
$139$	19.2894	−	6.26751i	1.63611	−	0.531604i	0.660444	−	0.750875i	$-0.270368\pi$
$139$	19.2894	−	6.26751i	1.63611	−	0.531604i	0.975664	+	0.219272i	$0.0703681\pi$
$140$	−1.67552	+	5.15672i	−0.141607	+	0.435822i
$141$	−5.80221	+	0.918980i	−0.488634	+	0.0773921i
$142$	−9.98525			−0.837943
$143$	11.9564	+	0.209302i	0.999847	+	0.0175027i
$144$	−6.69451			−0.557876
$145$	−8.77937	+	1.39052i	−0.729087	+	0.115476i
$146$	−5.96048	+	18.3445i	−0.493293	+	1.51820i
$147$	−6.26848	+	2.03675i	−0.517015	+	0.167988i
$148$	21.4438	+	3.39636i	1.76267	+	0.279179i
$149$	−2.76250	+	17.4418i	−0.226313	+	1.42888i	0.568826	+	0.822458i	$0.307398\pi$
$149$	−2.76250	+	17.4418i	−0.226313	+	1.42888i	−0.795139	+	0.606427i	$0.792602\pi$
$150$	−1.51795	+	2.97914i	−0.123940	+	0.243246i
$151$	1.21419	−	0.618661i	0.0988094	−	0.0503459i	−0.403887	−	0.914809i	$-0.632341\pi$
$151$	1.21419	−	0.618661i	0.0988094	−	0.0503459i	0.502697	+	0.864463i	$0.332341\pi$
$152$	−5.01445	−	3.64321i	−0.406726	−	0.295504i
$153$	−5.30506			−0.428889
$154$	−4.92365	−	2.15297i	−0.396759	−	0.173491i
$155$		−	16.4028i		−	1.31751i
$156$	15.8839	−	1.28230i	1.27173	−	0.102666i
$157$	−1.44485	+	4.44679i	−0.115312	+	0.354893i	−0.992012	−	0.126144i	$-0.959740\pi$
$157$	−1.44485	+	4.44679i	−0.115312	+	0.354893i	0.876700	+	0.481037i	$0.159740\pi$
$158$	5.46051	−	10.7169i	0.434415	−	0.852588i
$159$	−6.40707	+	4.65501i	−0.508114	+	0.369166i
$160$	7.29491	−	5.30006i	0.576713	−	0.419007i
$161$	−1.55932	−	0.794515i	−0.122892	−	0.0626165i
$162$	−1.15028	−	2.25756i	−0.0903748	−	0.177371i
$163$	16.9983	−	2.69226i	1.33141	−	0.210874i	0.550141	−	0.835072i	$-0.314574\pi$
$163$	16.9983	−	2.69226i	1.33141	−	0.210874i	0.781266	+	0.624198i	$0.214574\pi$
$164$	−13.5718	−	13.5718i	−1.05978	−	1.05978i
$165$	5.35918	+	3.42976i	0.417212	+	0.267006i
$166$			4.69016i			0.364027i
$167$	−1.08808	−	6.86989i	−0.0841985	−	0.531608i	−0.993349	−	0.115141i	$-0.963268\pi$
$167$	−1.08808	−	6.86989i	−0.0841985	−	0.531608i	0.909151	−	0.416467i	$-0.136732\pi$
$168$	−3.72869	−	1.21153i	−0.287675	−	0.0934713i
$169$	−12.8316	+	2.08538i	−0.987050	+	0.160414i
$170$	20.8618	−	15.1570i	1.60003	−	1.16249i
$171$	0.158152	−	0.998532i	0.0120942	−	0.0763596i
$172$	45.5270	−	14.7926i	3.47140	−	1.12793i
$173$	−3.24323	+	9.98164i	−0.246578	+	0.758890i	0.748795	+	0.662802i	$0.230633\pi$
$173$	−3.24323	+	9.98164i	−0.246578	+	0.758890i	−0.995373	+	0.0960878i	$0.969367\pi$
$174$	−1.83649	−	11.5951i	−0.139224	−	0.879025i
$175$	−0.596711	+	0.596711i	−0.0451071	+	0.0451071i
$176$	11.2294	+	19.1541i	0.846450	+	1.44380i
$177$	−1.63537	+	1.63537i	−0.122922	+	0.122922i
$178$	−9.24500	+	12.7247i	−0.692942	+	0.953753i
$179$	17.5744	+	5.71026i	1.31357	+	0.426805i	0.880282	−	0.474450i	$-0.157353\pi$
$179$	17.5744	+	5.71026i	1.31357	+	0.426805i	0.433289	+	0.901255i	$0.357353\pi$
$180$	7.55478	+	3.84935i	0.563100	+	0.286914i
$181$	−11.5647	−	15.9174i	−0.859594	−	1.18313i	−0.981666	−	0.190609i	$-0.938954\pi$
$181$	−11.5647	−	15.9174i	−0.859594	−	1.18313i	0.122072	−	0.992521i	$-0.461046\pi$
$182$	5.68325	+	1.35232i	0.421271	+	0.100241i
$183$	−9.60640	+	3.12131i	−0.710125	+	0.230734i
$184$	7.61727	+	14.9497i	0.561553	+	1.10211i
$185$	−7.62411	−	5.53924i	−0.560536	−	0.407253i
$186$	21.6636			1.58846
$187$	8.89875	+	15.1787i	0.650741	+	1.10998i
$188$	18.3592	+	18.3592i	1.33898	+	1.33898i
$189$	−0.100037	−	0.631606i	−0.00727659	−	0.0459426i
$190$	2.23096	+	4.37851i	0.161851	+	0.317651i
$191$	−0.942829	−	2.90173i	−0.0682207	−	0.209962i	0.911134	−	0.412110i	$-0.135208\pi$
$191$	−0.942829	−	2.90173i	−0.0682207	−	0.209962i	−0.979355	+	0.202148i	$0.935208\pi$
$192$	−0.869942	−	1.19737i	−0.0627827	−	0.0864129i
$193$	−7.94065	−	1.25767i	−0.571580	−	0.0905294i	−0.136048	−	0.990702i	$-0.543440\pi$
$193$	−7.94065	−	1.25767i	−0.571580	−	0.0905294i	−0.435533	+	0.900173i	$0.643440\pi$
$194$	12.3289	+	37.9444i	0.885162	+	2.72425i
$195$	−6.39579	−	2.63414i	−0.458012	−	0.188634i
$196$	23.5672	+	17.1226i	1.68337	+	1.22304i
$197$	−9.09377	+	9.09377i	−0.647904	+	0.647904i	−0.952486	−	0.304582i	$-0.901483\pi$
$197$	−9.09377	+	9.09377i	−0.647904	+	0.647904i	0.304582	+	0.952486i	$0.401483\pi$
$198$	−4.52977	+	7.07801i	−0.321917	+	0.503012i
$199$			14.1874i			1.00572i	0.864369	+	0.502858i	$0.167718\pi$
$199$			14.1874i			1.00572i	−0.864369	+	0.502858i	$0.832282\pi$
$200$	7.99091	−	1.26564i	0.565043	−	0.0894940i
$201$	7.03019	−	3.58206i	0.495871	−	0.252659i
$202$	19.7775	+	10.0771i	1.39154	+	0.709025i
$203$	0.463507	−	2.92647i	0.0325318	−	0.205398i
$204$	13.7817	+	18.9689i	0.964915	+	1.32809i
$205$	2.57445	+	7.92336i	0.179808	+	0.553391i
$206$	27.1463	−	13.8317i	1.89137	−	0.963701i
$207$	−1.60860	+	2.21405i	−0.111805	+	0.153887i
$208$	−15.7129	−	18.3226i	−1.08950	−	1.27044i
$209$	−3.12226	+	1.22245i	−0.215971	+	0.0845583i
$210$	2.19794	+	2.19794i	0.151672	+	0.151672i
$211$	6.68278	−	9.19806i	0.460062	−	0.633221i	−0.514460	−	0.857514i	$-0.672008\pi$
$211$	6.68278	−	9.19806i	0.460062	−	0.633221i	0.974522	+	0.224294i	$0.0720075\pi$
$212$	33.2892	+	10.8163i	2.28631	+	0.742867i
$213$	−1.78915	+	3.51141i	−0.122591	+	0.240598i
$214$	−23.2847	−	3.68794i	−1.59171	−	0.252102i
$215$	−20.5227	−	3.25047i	−1.39963	−	0.221680i
$216$	−2.78337	+	5.46267i	−0.189384	+	0.371687i
$217$	5.20003	+	1.68959i	0.353001	+	0.114697i
$218$	−21.9830	+	30.2570i	−1.48888	+	2.04926i
$219$	5.38302	+	5.38302i	0.363751	+	0.363751i
$220$	−1.65879	−	28.0724i	−0.111836	−	1.89264i
$221$	−12.4517	−	14.5197i	−0.837593	−	0.976703i
$222$	7.31582	−	10.0694i	0.491006	−	0.675811i
$223$	7.04531	−	3.58976i	0.471789	−	0.240388i	−0.201896	−	0.979407i	$-0.564710\pi$
$223$	7.04531	−	3.58976i	0.471789	−	0.240388i	0.673685	+	0.739019i	$0.264710\pi$
$224$	0.928807	+	2.85857i	0.0620585	+	0.190996i
$225$	0.775659	+	1.06760i	0.0517106	+	0.0711736i
$226$	0.181400	−	1.14531i	0.0120666	−	0.0761852i
$227$	−14.6312	−	7.45496i	−0.971105	−	0.494803i	−0.104896	−	0.994483i	$-0.533451\pi$
$227$	−14.6312	−	7.45496i	−0.971105	−	0.494803i	−0.866210	+	0.499680i	$0.833451\pi$
$228$	−3.98124	+	2.02854i	−0.263664	+	0.134343i
$229$	14.1326	−	2.23838i	0.933908	−	0.147916i	0.329106	−	0.944293i	$-0.393252\pi$
$229$	14.1326	−	2.23838i	0.933908	−	0.147916i	0.604801	+	0.796376i	$0.293252\pi$
$230$		−	13.3025i		−	0.877140i
$231$	−1.63933	+	1.34568i	−0.107860	+	0.0885394i
$232$	−20.0866	+	20.0866i	−1.31875	+	1.31875i
$233$	−12.4530	−	9.04765i	−0.815824	−	0.592731i	0.0996891	−	0.995019i	$-0.468215\pi$
$233$	−12.4530	−	9.04765i	−0.815824	−	0.592731i	−0.915513	+	0.402288i	$0.868215\pi$
$234$	3.47897	−	8.44708i	0.227427	−	0.552203i
$235$	−3.48258	−	10.7183i	−0.227179	−	0.699184i
$236$	10.0959	+	1.59903i	0.657187	+	0.104088i
$237$	−2.79028	−	3.84049i	−0.181248	−	0.249466i
$238$	2.65618	+	8.17488i	0.172175	+	0.529899i
$239$	4.64878	+	9.12374i	0.300704	+	0.590165i	0.991077	−	0.133288i	$-0.0425536\pi$
$239$	4.64878	+	9.12374i	0.300704	+	0.590165i	−0.690373	+	0.723454i	$0.742554\pi$
$240$	−2.00908	−	12.6848i	−0.129685	−	0.818802i
$241$	−20.7195	−	20.7195i	−1.33466	−	1.33466i	−0.901144	−	0.433519i	$-0.857272\pi$
$241$	−20.7195	−	20.7195i	−1.33466	−	1.33466i	−0.433519	−	0.901144i	$-0.642728\pi$
$242$	27.8497	+	1.08774i	1.79024	+	0.0699226i
$243$	−1.00000			−0.0641500
$244$	36.1166	+	26.2403i	2.31213	+	1.67986i
$245$	−5.74048	−	11.2663i	−0.366746	−	0.719779i
$246$	−10.4646	+	3.40015i	−0.667197	+	0.216785i
$247$	3.10414	−	1.91084i	0.197512	−	0.121584i
$248$	−30.8117	−	42.4087i	−1.95655	−	2.69295i
$249$	1.64934	+	0.840381i	0.104523	+	0.0532570i
$250$	−29.2147	−	9.49244i	−1.84770	−	0.600355i
$251$	1.86790	−	2.57095i	0.117901	−	0.162277i	−0.745987	−	0.665960i	$-0.768022\pi$
$251$	1.86790	−	2.57095i	0.117901	−	0.162277i	0.863888	+	0.503683i	$0.168022\pi$
$252$	−1.99851	+	1.99851i	−0.125894	+	0.125894i
$253$	9.03304	+	0.888618i	0.567902	+	0.0558669i
$254$	9.54378	−	9.54378i	0.598830	−	0.598830i
$255$	−1.59209	−	10.0521i	−0.0997008	−	0.629486i
$256$	−9.38154	+	28.8734i	−0.586346	+	1.80459i
$257$	−17.6857	+	5.74642i	−1.10320	+	0.358452i	−0.803334	−	0.595529i	$-0.796943\pi$
$257$	−17.6857	+	5.74642i	−1.10320	+	0.358452i	−0.299868	+	0.953981i	$0.596943\pi$
$258$	4.29298	−	27.1048i	0.267269	−	1.68747i
$259$	2.54138	−	1.84642i	0.157914	−	0.114731i
$260$	7.19660	+	29.7121i	0.446314	+	1.84266i
$261$	−4.40660	−	1.43179i	−0.272762	−	0.0886257i
$262$	6.57490	+	41.5123i	0.406198	+	2.56464i
$263$		−	16.8594i		−	1.03960i	−0.854289	−	0.519798i	$-0.826007\pi$
$263$		−	16.8594i		−	1.03960i	0.854289	−	0.519798i	$-0.173993\pi$
$264$	20.2985	−	1.19943i	1.24928	−	0.0738197i
$265$	−10.7432	−	10.7432i	−0.659948	−	0.659948i
$266$	−1.61788	+	0.256247i	−0.0991986	+	0.0157115i
$267$	2.81823	+	5.53109i	0.172473	+	0.338497i
$268$	−31.0715	−	15.8317i	−1.89799	−	0.967076i
$269$	0.402792	−	0.292646i	0.0245587	−	0.0178429i	−0.575438	−	0.817845i	$-0.695168\pi$
$269$	0.402792	−	0.292646i	0.0245587	−	0.0178429i	0.599997	+	0.800002i	$0.295168\pi$
$270$	3.93243	−	2.85708i	0.239320	−	0.173876i
$271$	−8.17026	+	16.0350i	−0.496308	+	0.974059i	0.497966	+	0.867197i	$0.334081\pi$
$271$	−8.17026	+	16.0350i	−0.496308	+	0.974059i	−0.994274	+	0.106863i	$0.965919\pi$
$272$	10.9747	−	33.7766i	0.665437	−	2.04801i
$273$	1.49388	−	1.75626i	0.0904137	−	0.106294i
$274$			12.1234i			0.732401i
$275$	1.75350	−	4.01010i	0.105740	−	0.241818i
$276$	12.0955			0.728064
$277$	−20.9233	−	15.2017i	−1.25716	−	0.913379i	−0.258544	−	0.966000i	$-0.583243\pi$
$277$	−20.9233	−	15.2017i	−1.25716	−	0.913379i	−0.998615	+	0.0526207i	$0.983243\pi$
$278$	−45.7880	+	23.3302i	−2.74618	+	1.39925i
$279$	3.88168	−	7.61823i	0.232390	−	0.456092i
$280$	1.17660	−	7.42875i	0.0703152	−	0.443953i
$281$	24.4294	+	3.86923i	1.45733	+	0.230819i	0.834272	−	0.551353i	$-0.185888\pi$
$281$	24.4294	+	3.86923i	1.45733	+	0.230819i	0.623063	+	0.782172i	$0.285888\pi$
$282$	14.1559	−	4.59954i	0.842973	−	0.273898i
$283$	−8.19735	+	25.2289i	−0.487282	+	1.49970i	0.341366	+	0.939930i	$0.389110\pi$
$283$	−8.19735	+	25.2289i	−0.487282	+	1.49970i	−0.828648	+	0.559770i	$0.810890\pi$
$284$	17.2035	−	2.72476i	1.02084	−	0.161685i
$285$	1.93949			0.114885
$286$	−30.0042	+	4.21527i	−1.77419	+	0.249254i
$287$	−2.77705			−0.163924
$288$	4.64233	−	0.735274i	0.273552	−	0.0433264i
$289$	3.44359	−	10.5983i	0.202564	−	0.623428i
$290$	21.4194	−	6.95959i	1.25779	−	0.408681i
$291$	15.5526	+	2.46329i	0.911710	+	0.144401i
$292$	5.26342	−	33.2319i	0.308019	−	1.94475i
$293$	−9.91834	+	19.4658i	−0.579435	+	1.13721i	0.396273	+	0.918133i	$0.370303\pi$
$293$	−9.91834	+	19.4658i	−0.579435	+	1.13721i	−0.975708	+	0.219073i	$0.929697\pi$
$294$	14.8797	−	7.58160i	0.867803	−	0.442168i
$295$	−3.58949	−	2.60792i	−0.208988	−	0.151839i
$296$	−30.1169			−1.75051
$297$	1.67741	+	2.86117i	0.0973331	+	0.166022i
$298$		−	44.7433i		−	2.59191i
$299$	−9.83535	+	0.794005i	−0.568793	+	0.0459185i
$300$	1.80231	−	5.54694i	0.104057	−	0.320253i
$301$	3.14442	−	6.17128i	0.181242	−	0.355707i
$302$	−2.79333	+	2.02947i	−0.160738	+	0.116783i
$303$	7.08745	−	5.14934i	0.407163	−	0.295822i
$304$	6.03034	+	3.07261i	0.345863	+	0.176226i
$305$	−8.79725	−	17.2656i	−0.503729	−	0.988623i
$306$	13.2760	−	2.10272i	0.758941	−	0.120204i
$307$	10.9121	+	10.9121i	0.622789	+	0.622789i	0.946244	−	0.323455i	$-0.104844\pi$
$307$	10.9121	+	10.9121i	0.622789	+	0.622789i	−0.323455	+	0.946244i	$0.604844\pi$
$308$	9.07040	+	2.36576i	0.516834	+	0.134802i
$309$		−	12.0246i		−	0.684056i
$310$	6.50144	+	41.0485i	0.369257	+	2.33140i
$311$	33.3530	+	10.8370i	1.89127	+	0.614512i	0.978580	+	0.205866i	$0.0660011\pi$
$311$	33.3530	+	10.8370i	1.89127	+	0.614512i	0.912693	+	0.408646i	$0.133999\pi$
$312$	−21.4840	+	5.20368i	−1.21629	+	0.294600i
$313$	−19.6899	+	14.3055i	−1.11294	+	0.808596i	−0.983124	−	0.182942i	$-0.941438\pi$
$313$	−19.6899	+	14.3055i	−1.11294	+	0.808596i	−0.129813	+	0.991538i	$0.541438\pi$
$314$	1.85324	−	11.7009i	0.104584	−	0.660319i
$315$	1.16675	−	0.379101i	0.0657390	−	0.0213599i
$316$	−6.48345	+	19.9540i	−0.364723	+	1.12250i
$317$	3.81639	+	24.0957i	0.214350	+	1.35335i	0.826646	+	0.562723i	$0.190246\pi$
$317$	3.81639	+	24.0957i	0.214350	+	1.35335i	−0.612296	+	0.790629i	$0.709754\pi$
$318$	14.1888	−	14.1888i	0.795667	−	0.795667i
$319$	3.29507	+	15.0097i	0.184488	+	0.840385i
$320$	2.00772	−	2.00772i	0.112235	−	0.112235i
$321$	−5.46905	+	7.52750i	−0.305253	+	0.420144i
$322$	4.21716	+	1.37024i	0.235013	+	0.0763603i
$323$	4.77874	+	2.43489i	0.265896	+	0.135481i
$324$	2.59785	+	3.57563i	0.144325	+	0.198646i
$325$	−1.10141	+	4.62876i	−0.0610950	+	0.256757i
$326$	−41.4714	+	13.4749i	−2.29689	+	0.746305i
$327$	6.70127	+	13.1520i	0.370581	+	0.727306i
$328$	21.5397	+	15.6495i	1.18933	+	0.864098i
$329$	3.75664			0.207110
$330$	−14.7709	−	6.45888i	−0.813111	−	0.355550i
$331$	−21.8206	−	21.8206i	−1.19937	−	1.19937i	−0.974355	−	0.225015i	$-0.927757\pi$
$331$	−21.8206	−	21.8206i	−1.19937	−	1.19937i	−0.225015	−	0.974355i	$-0.572243\pi$
$332$	−1.27984	−	8.08062i	−0.0702406	−	0.443481i
$333$	−2.23014	−	4.37690i	−0.122211	−	0.239853i
$334$	5.44591	+	16.7608i	0.297987	+	0.917110i
$335$	8.89715	+	12.2459i	0.486103	+	0.669063i
$336$	4.22829	+	0.669696i	0.230672	+	0.0365349i
$337$	9.71276	+	29.8928i	0.529088	+	1.62837i	0.756087	+	0.654471i	$0.227108\pi$
$337$	9.71276	+	29.8928i	0.529088	+	1.62837i	−0.226999	+	0.973895i	$0.572892\pi$
$338$	31.2849	−	10.3047i	1.70168	−	0.560501i
$339$	−0.370258	−	0.269008i	−0.0201097	−	0.0146105i
$340$	−31.8065	+	31.8065i	−1.72495	+	1.72495i
$341$	−28.3082	+	1.67272i	−1.53298	+	0.0905830i
$342$			2.56153i			0.138512i
$343$	8.58420	−	1.35960i	0.463503	−	0.0734117i
$344$	−59.1661	+	30.1466i	−3.19002	+	1.62540i
$345$	−4.67795	−	2.38353i	−0.251852	−	0.128325i
$346$	4.15993	−	26.2648i	0.223639	−	1.41200i
$347$	14.4597	+	19.9020i	0.776237	+	1.06840i	0.995687	+	0.0927744i	$0.0295735\pi$
$347$	14.4597	+	19.9020i	0.776237	+	1.06840i	−0.219451	+	0.975624i	$0.570426\pi$
$348$	6.32813	+	19.4760i	0.339223	+	1.04402i
$349$	14.9398	−	7.61219i	0.799708	−	0.407471i	−0.00585441	−	0.999983i	$-0.501864\pi$
$349$	14.9398	−	7.61219i	0.799708	−	0.407471i	0.805562	+	0.592511i	$0.201864\pi$
$350$	1.25677	−	1.72980i	0.0671772	−	0.0924614i
$351$	−2.34714	−	2.73696i	−0.125281	−	0.146088i
$352$	−9.89083	−	12.0492i	−0.527183	−	0.642223i
$353$	9.76419	+	9.76419i	0.519695	+	0.519695i	0.917479	−	0.397784i	$-0.130221\pi$
$353$	9.76419	+	9.76419i	0.519695	+	0.519695i	−0.397784	+	0.917479i	$0.630221\pi$
$354$	3.44435	−	4.74074i	0.183065	−	0.251967i
$355$	−7.19039	−	2.33630i	−0.381626	−	0.123998i
$356$	12.4558	−	24.4459i	0.660157	−	1.29563i
$357$	3.35071	+	0.530700i	0.177338	+	0.0280876i
$358$	−46.2436	−	7.32427i	−2.44405	−	0.387100i
$359$	1.21168	−	2.37806i	0.0639502	−	0.125509i	−0.856819	−	0.515618i	$-0.827562\pi$
$359$	1.21168	−	2.37806i	0.0639502	−	0.125509i	0.920769	+	0.390108i	$0.127562\pi$
$360$	−11.1860	−	3.63456i	−0.589555	−	0.191558i
$361$	10.5672	−	14.5444i	0.556166	−	0.765497i
$362$	35.2499	+	35.2499i	1.85269	+	1.85269i
$363$	5.37261	−	9.59870i	0.281989	−	0.503801i
$364$	−10.1606	−	0.779059i	−0.532561	−	0.0408338i
$365$	−8.58431	+	11.8153i	−0.449323	+	0.618440i
$366$	22.8031	−	11.6187i	1.19194	−	0.607321i
$367$	−7.11660	−	21.9026i	−0.371483	−	1.14331i	−0.945821	−	0.324690i	$-0.894740\pi$
$367$	−7.11660	−	21.9026i	−0.371483	−	1.14331i	0.574337	−	0.818619i	$-0.305260\pi$
$368$	−10.7688	−	14.8219i	−0.561361	−	0.772647i
$369$	−0.679344	+	4.28921i	−0.0353652	+	0.223287i
$370$	21.2751	+	10.8402i	1.10604	+	0.563554i
$371$	4.51242	−	2.29919i	0.234273	−	0.119368i
$372$	−37.3240	+	5.91154i	−1.93516	+	0.306499i
$373$		−	11.8646i		−	0.614325i	−0.951657	−	0.307162i	$-0.900621\pi$
$373$		−	11.8646i		−	0.614325i	0.951657	−	0.307162i	$-0.0993794\pi$
$374$	−28.2856	−	34.4579i	−1.46261	−	1.78178i
$375$	−8.57279	+	8.57279i	−0.442697	+	0.442697i
$376$	−29.1377	−	21.1698i	−1.50266	−	1.09175i
$377$	−6.42415	−	15.4213i	−0.330861	−	0.794238i
$378$	0.500688	+	1.54096i	0.0257526	+	0.0792584i
$379$	3.45379	+	0.547027i	0.177409	+	0.0280989i	0.244507	−	0.969648i	$-0.421374\pi$
$379$	3.45379	+	0.547027i	0.177409	+	0.0280989i	−0.0670976	+	0.997746i	$0.521374\pi$
$380$	−5.03850	−	6.93490i	−0.258470	−	0.355753i
$381$	−1.64611	−	5.06621i	−0.0843329	−	0.259550i
$382$	3.50958	+	6.88795i	0.179566	+	0.352418i
$383$	−2.43043	−	15.3451i	−0.124189	−	0.784099i	−0.968640	−	0.248467i	$-0.920073\pi$
$383$	−2.43043	−	15.3451i	−0.124189	−	0.784099i	0.844451	−	0.535632i	$-0.179927\pi$
$384$	9.29873	+	9.29873i	0.474524	+	0.474524i
$385$	−3.04179	−	2.70237i	−0.155024	−	0.137726i
$386$	20.3701			1.03681
$387$	−8.76245	−	6.36629i	−0.445420	−	0.323617i
$388$	−31.5955	−	62.0096i	−1.60402	−	3.14806i
$389$	−8.43482	+	2.74064i	−0.427662	+	0.138956i	−0.514936	−	0.857228i	$-0.672184\pi$
$389$	−8.43482	+	2.74064i	−0.427662	+	0.138956i	0.0872739	+	0.996184i	$0.472184\pi$
$390$	17.0497	+	4.05694i	0.863344	+	0.205431i
$391$	−8.53371	−	11.7456i	−0.431568	−	0.594003i
$392$	−36.0048	−	18.3454i	−1.81852	−	0.926581i
$393$	15.7763	+	5.12603i	0.795808	+	0.258574i
$394$	19.1530	−	26.3618i	0.964912	−	1.32809i
$395$	6.43961	−	6.43961i	0.324012	−	0.324012i
$396$	5.87284	−	13.4307i	0.295121	−	0.674917i
$397$	20.1057	−	20.1057i	1.00908	−	1.00908i	0.00911714	−	0.999958i	$-0.497098\pi$
$397$	20.1057	−	20.1057i	1.00908	−	1.00908i	0.999958	−	0.00911714i	$-0.00290212\pi$
$398$	−5.62332	−	35.5042i	−0.281871	−	1.77967i
$399$	−0.199779	+	0.614858i	−0.0100015	+	0.0307814i
$400$	−8.40190	+	2.72994i	−0.420095	+	0.136497i
$401$	−1.10941	+	7.00454i	−0.0554013	+	0.349790i	0.944380	+	0.328857i	$0.106664\pi$
$401$	−1.10941	+	7.00454i	−0.0554013	+	0.349790i	−0.999781	+	0.0209327i	$0.993336\pi$
$402$	−16.1734	+	11.7507i	−0.806657	+	0.586071i
$403$	29.9616	−	7.25704i	1.49249	−	0.361499i
$404$	−36.8242	−	11.9649i	−1.83207	−	0.595277i
$405$	−0.300108	−	1.89481i	−0.0149125	−	0.0941539i
$406$			7.50727i			0.372580i
$407$	−8.78221	+	13.7227i	−0.435318	+	0.680208i
$408$	−22.9985	−	22.9985i	−1.13860	−	1.13860i
$409$	6.39634	−	1.01308i	0.316279	−	0.0500936i	0.00372310	−	0.999993i	$-0.498815\pi$
$409$	6.39634	−	1.01308i	0.316279	−	0.0500936i	0.312556	+	0.949899i	$0.398815\pi$
$410$	−9.58314	−	18.8080i	−0.473278	−	0.928859i
$411$	4.26331	+	2.17226i	0.210294	+	0.107150i
$412$	−42.9956	+	31.2381i	−2.11824	+	1.53899i
$413$	1.19650	−	0.869311i	0.0588761	−	0.0427760i
$414$	3.14799	−	6.17828i	0.154715	−	0.303646i
$415$	−1.09738	+	3.37739i	−0.0538683	+	0.165790i
$416$	12.9086	+	10.9801i	0.632897	+	0.538343i
$417$			20.2821i			0.993219i
$418$	7.32899	−	4.29674i	0.358472	−	0.210160i
$419$	−16.3823			−0.800329			−0.400164	−	0.916443i	$-0.631047\pi$
$419$	−16.3823			−0.800329			−0.400164	+	0.916443i	$0.631047\pi$
$420$	−4.38657	−	3.18703i	−0.214043	−	0.155511i
$421$	−13.5223	+	6.88995i	−0.659036	+	0.335796i	−0.751321	−	0.659937i	$-0.770583\pi$
$421$	−13.5223	+	6.88995i	−0.659036	+	0.335796i	0.0922848	+	0.995733i	$0.470583\pi$
$422$	−13.0781	+	25.6672i	−0.636630	+	1.24946i
$423$	0.918980	−	5.80221i	0.0446823	−	0.282113i
$424$	−47.9563	−	7.59553i	−2.32896	−	0.368872i
$425$	−6.65808	+	2.16334i	−0.322964	+	0.104938i
$426$	3.08561	−	9.49653i	0.149498	−	0.460109i
$427$	6.37971	−	1.01045i	0.308736	−	0.0488989i
$428$	41.1233			1.98777
$429$	−3.89380	+	11.3066i	−0.187994	+	0.545886i
$430$	52.6468			2.53885
$431$	−1.08468	+	0.171797i	−0.0522472	+	0.00827515i	−0.182503	−	0.983205i	$-0.558420\pi$
$431$	−1.08468	+	0.171797i	−0.0522472	+	0.00827515i	0.130256	+	0.991480i	$0.458420\pi$
$432$	2.06872	−	6.36686i	0.0995312	−	0.306326i
$433$	27.5857	−	8.96313i	1.32568	−	0.430741i	0.441241	−	0.897389i	$-0.354539\pi$
$433$	27.5857	−	8.96313i	1.32568	−	0.430741i	0.884443	+	0.466648i	$0.154539\pi$
$434$	−13.6829	−	2.16716i	−0.656800	−	0.104027i
$435$	1.39052	−	8.77937i	0.0666701	−	0.420938i
$436$	29.6178	−	58.1281i	1.41843	−	2.78383i
$437$	2.46520	−	1.25608i	0.117926	−	0.0600865i
$438$	−15.6047	−	11.3375i	−0.745623	−	0.541727i
$439$	20.5103			0.978902			0.489451	−	0.872031i	$-0.337197\pi$
$439$	20.5103			0.978902			0.489451	+	0.872031i	$0.337197\pi$
$440$	8.36443	+	38.1018i	0.398759	+	1.81643i
$441$		−	6.59107i		−	0.313860i
$442$	36.9158	+	31.4006i	1.75590	+	1.49357i
$443$	5.84301	−	17.9829i	0.277610	−	0.854395i	−0.710907	−	0.703286i	$-0.751716\pi$
$443$	5.84301	−	17.9829i	0.277610	−	0.854395i	0.988517	−	0.151109i	$-0.0482845\pi$
$444$	−9.85662	+	19.3447i	−0.467774	+	0.918059i
$445$	−9.63459	+	6.99994i	−0.456724	+	0.331829i
$446$	−16.2082	+	11.7759i	−0.767481	+	0.557607i
$447$	−15.7344	−	8.01709i	−0.744213	−	0.379196i
$448$	0.429680	+	0.843294i	0.0203005	+	0.0398419i
$449$	−30.4975	+	4.83034i	−1.43927	+	0.227958i	−0.826781	−	0.562523i	$-0.809831\pi$
$449$	−30.4975	+	4.83034i	−1.43927	+	0.227958i	−0.612486	+	0.790481i	$0.709831\pi$
$450$	−2.36426	−	2.36426i	−0.111452	−	0.111452i
$451$	13.4117	−	5.25103i	0.631532	−	0.247261i
$452$			2.02275i			0.0951421i
$453$	0.213176	+	1.34594i	0.0100159	+	0.0632378i
$454$	39.5697	+	12.8570i	1.85710	+	0.603408i
$455$	3.77611	+	2.30355i	0.177027	+	0.107992i
$456$	5.01445	−	3.64321i	0.234823	−	0.170609i
$457$	−0.205789	+	1.29930i	−0.00962638	+	0.0607786i	−0.992034	−	0.125971i	$-0.959795\pi$
$457$	−0.205789	+	1.29930i	−0.00962638	+	0.0607786i	0.982408	+	0.186750i	$0.0597953\pi$
$458$	−34.4799	+	11.2032i	−1.61114	+	0.523491i
$459$	1.63935	−	5.04541i	0.0765185	−	0.235500i
$460$	3.62996	+	22.9187i	0.169248	+	1.06859i
$461$	5.38995	−	5.38995i	0.251035	−	0.251035i	−0.570360	−	0.821395i	$-0.693196\pi$
$461$	5.38995	−	5.38995i	0.251035	−	0.251035i	0.821395	+	0.570360i	$0.193196\pi$
$462$	3.56909	−	4.01737i	0.166049	−	0.186905i
$463$	7.32108	−	7.32108i	0.340239	−	0.340239i	−0.516218	−	0.856457i	$-0.672661\pi$
$463$	7.32108	−	7.32108i	0.340239	−	0.340239i	0.856457	+	0.516218i	$0.172661\pi$
$464$	18.2320	−	25.0942i	0.846401	−	1.16497i
$465$	15.6000	+	5.06876i	0.723434	+	0.235058i
$466$	34.7501	+	17.7061i	1.60977	+	0.820217i
$467$	17.1029	+	23.5401i	0.791426	+	1.08931i	0.993929	+	0.110023i	$0.0350926\pi$
$467$	17.1029	+	23.5401i	0.791426	+	1.08931i	−0.202503	+	0.979282i	$0.564907\pi$
$468$	−3.68884	+	15.5027i	−0.170517	+	0.716613i
$469$	−4.79865	+	1.55918i	−0.221581	+	0.0719961i
$470$	12.9636	+	25.4424i	0.597964	+	1.17357i
$471$	−3.78267	−	2.74827i	−0.174296	−	0.126634i
$472$	−14.1793			−0.652654
$473$	−3.51685	+	35.7498i	−0.161705	+	1.64378i
$474$	8.50495	+	8.50495i	0.390645	+	0.390645i
$475$	−0.208702	−	1.31769i	−0.00957591	−	0.0604599i
$476$	−6.80705	−	13.3596i	−0.312001	−	0.612336i
$477$	−2.44728	−	7.53196i	−0.112053	−	0.344865i
$478$	−15.2500	−	20.9898i	−0.697517	−	0.960050i
$479$	−29.5350	−	4.67789i	−1.34949	−	0.213738i	−0.560505	−	0.828151i	$-0.689393\pi$
$479$	−29.5350	−	4.67789i	−1.34949	−	0.213738i	−0.788985	+	0.614413i	$0.789393\pi$
$480$	2.78641	+	8.57568i	0.127182	+	0.391424i
$481$	6.74494	−	16.3770i	0.307543	−	0.746727i
$482$	60.0636	+	43.6387i	2.73582	+	1.98769i
$483$	1.23749	−	1.23749i	0.0563076	−	0.0563076i
$484$	−48.2786	+	5.72552i	−2.19448	+	0.260251i
$485$			30.2085i			1.37170i
$486$	2.50252	−	0.396361i	0.113517	−	0.0179793i
$487$	−14.3348	+	7.30397i	−0.649574	+	0.330974i	−0.747541	−	0.664215i	$-0.768766\pi$
$487$	−14.3348	+	7.30397i	−0.649574	+	0.330974i	0.0979675	+	0.995190i	$0.468766\pi$
$488$	−55.1771	−	28.1141i	−2.49775	−	1.27267i
$489$	−2.69226	+	16.9983i	−0.121748	+	0.768688i
$490$	18.8312	+	25.9189i	0.850707	+	1.17090i
$491$	0.878720	+	2.70442i	0.0396561	+	0.122049i	0.968925	−	0.247356i	$-0.0795616\pi$
$491$	0.878720	+	2.70442i	0.0396561	+	0.122049i	−0.929269	+	0.369405i	$0.879562\pi$
$492$	17.1015	−	8.71363i	0.770993	−	0.392841i
$493$	14.4480	−	19.8859i	0.650704	−	0.895617i
$494$	−7.01081	+	6.01227i	−0.315431	+	0.270505i
$495$	−4.91797	+	4.03703i	−0.221046	+	0.181451i
$496$	40.4741	+	40.4741i	1.81734	+	1.81734i
$497$	1.48131	−	2.03885i	0.0664458	−	0.0914548i
$498$	−4.46061	−	1.44934i	−0.199885	−	0.0649464i
$499$	−11.6425	+	22.8496i	−0.521188	+	1.02289i	0.469007	+	0.883195i	$0.344612\pi$
$499$	−11.6425	+	22.8496i	−0.521188	+	1.02289i	−0.990195	+	0.139694i	$0.955388\pi$
$500$	52.9240	+	8.38233i	2.36683	+	0.374869i
$501$	6.86989	+	1.08808i	0.306924	+	0.0486120i
$502$	−3.65545	+	7.17421i	−0.163150	+	0.320201i
$503$	−23.7729	−	7.72428i	−1.05998	−	0.344409i	−0.273403	−	0.961900i	$-0.588149\pi$
$503$	−23.7729	−	7.72428i	−1.05998	−	0.344409i	−0.786578	+	0.617491i	$0.788149\pi$
$504$	2.30446	−	3.17182i	0.102649	−	0.141284i
$505$	11.8840	+	11.8840i	0.528832	+	0.528832i
$506$	−22.9576	+	1.35656i	−1.02059	+	0.0603062i
$507$	1.98188	−	12.8480i	0.0880184	−	0.570602i
$508$	−13.8386	+	19.0471i	−0.613987	+	0.845080i
$509$	27.1607	−	13.8391i	1.20388	−	0.613406i	0.267213	−	0.963637i	$-0.413897\pi$
$509$	27.1607	−	13.8391i	1.20388	−	0.613406i	0.936663	+	0.350232i	$0.113897\pi$
$510$	7.96850	+	24.5245i	0.352851	+	1.08596i
$511$	−2.86145	−	3.93845i	−0.126583	−	0.174227i
$512$	7.91889	−	49.9979i	0.349969	−	2.20962i
$513$	0.900788	+	0.458975i	0.0397708	+	0.0202642i
$514$	41.9812	−	21.3905i	1.85171	−	0.943493i
$515$	22.7843	−	3.60869i	1.00400	−	0.159018i
$516$			47.8700i			2.10736i
$517$	−18.1426	+	7.10332i	−0.797912	+	0.312403i
$518$	−5.62802	+	5.62802i	−0.247281	+	0.247281i
$519$	−8.49089	−	6.16899i	−0.372709	−	0.270789i
$520$	−16.3075	−	39.1465i	−0.715132	−	1.71669i
$521$	−3.82581	−	11.7746i	−0.167612	−	0.515856i	0.831608	−	0.555364i	$-0.187421\pi$
$521$	−3.82581	−	11.7746i	−0.167612	−	0.515856i	−0.999219	+	0.0395079i	$0.987421\pi$
$522$	11.5951	+	1.83649i	0.507505	+	0.0803809i
$523$	4.39677	+	6.05163i	0.192257	+	0.264619i	0.894253	−	0.447562i	$-0.147708\pi$
$523$	4.39677	+	6.05163i	0.192257	+	0.264619i	−0.701996	+	0.712181i	$0.747708\pi$
$524$	−22.6556	−	69.7268i	−0.989715	−	3.04603i
$525$	−0.383112	−	0.751899i	−0.0167204	−	0.0328156i
$526$	6.68240	+	42.1910i	0.291367	+	1.83962i
$527$	32.0737	+	32.0737i	1.39715	+	1.39715i
$528$	−21.6867	+	4.76086i	−0.943795	+	0.207190i
$529$	15.5104			0.674366
$530$	31.1432	+	22.6269i	1.35277	+	0.982848i
$531$	−1.04997	−	2.06068i	−0.0455648	−	0.0894260i
$532$	2.71750	−	0.882970i	0.117819	−	0.0382816i
$533$	−13.3339	+	8.20803i	−0.577555	+	0.355529i
$534$	−9.24500	−	12.7247i	−0.400070	−	0.550649i
$535$	−15.9045	−	8.10374i	−0.687611	−	0.350355i
$536$	46.0062	+	14.9483i	1.98717	+	0.645669i
$537$	−10.8616	+	14.9497i	−0.468711	+	0.645126i
$538$	−0.892004	+	0.892004i	−0.0384570	+	0.0384570i
$539$	−18.8582	+	11.0559i	−0.812279	+	0.476212i
$540$	−5.99551	+	5.99551i	−0.258005	+	0.258005i
$541$	3.30460	+	20.8644i	0.142076	+	0.897031i	0.951016	+	0.309141i	$0.100041\pi$
$541$	3.30460	+	20.8644i	0.142076	+	0.897031i	−0.808941	+	0.587890i	$0.799959\pi$
$542$	14.0906	−	43.3664i	0.605243	−	1.86275i
$543$	18.7120	−	6.07990i	0.803009	−	0.260914i
$544$	−3.90067	+	24.6279i	−0.167240	+	1.05591i
$545$	−22.9094	+	16.6447i	−0.981331	+	0.712979i
$546$	−3.04236	+	4.98720i	−0.130201	+	0.213433i
$547$	29.6944	+	9.64828i	1.26964	+	0.412531i	0.864920	−	0.501910i	$-0.167369\pi$
$547$	29.6944	+	9.64828i	1.26964	+	0.412531i	0.404719	+	0.914441i	$0.367369\pi$
$548$	−3.30821	−	20.8872i	−0.141320	−	0.892259i
$549$		−	10.1008i		−	0.431090i
$550$	−2.79873	+	10.7304i	−0.119338	+	0.457545i
$551$	3.31226	+	3.31226i	0.141107	+	0.141107i
$552$	−16.5719	+	2.62473i	−0.705348	+	0.111716i
$553$	1.37817	+	2.70481i	0.0586056	+	0.115020i
$554$	58.3863	+	29.7493i	2.48060	+	1.26393i
$555$	7.62411	−	5.53924i	0.323626	−	0.235128i
$556$	72.5213	−	52.6898i	3.07559	−	2.23455i
$557$	2.21391	−	4.34504i	0.0938062	−	0.184105i	−0.839336	−	0.543614i	$-0.817056\pi$
$557$	2.21391	−	4.34504i	0.0938062	−	0.184105i	0.933142	+	0.359509i	$0.117056\pi$
$558$	−6.69443	+	20.6033i	−0.283398	+	0.872209i
$559$	−3.14241	−	38.9250i	−0.132910	−	1.64635i
$560$			8.21279i			0.347054i
$561$	−17.1857	+	3.77274i	−0.725579	+	0.159285i
$562$	−62.6687			−2.64352
$563$	−31.4446	−	22.8459i	−1.32523	−	0.962838i	−0.999851	−	0.0172559i	$-0.994507\pi$
$563$	−31.4446	−	22.8459i	−1.32523	−	0.962838i	−0.325382	−	0.945583i	$-0.605493\pi$
$564$	−23.1339	+	11.7873i	−0.974115	+	0.496336i
$565$	0.398602	−	0.782300i	0.0167693	−	0.0329116i
$566$	10.5143	−	66.3849i	0.441951	−	2.79037i
$567$	0.631606	+	0.100037i	0.0265250	+	0.00420114i
$568$	−22.9790	+	7.46632i	−0.964177	+	0.313280i
$569$	−11.2547	+	34.6384i	−0.471821	+	1.45212i	0.378376	+	0.925652i	$0.376483\pi$
$569$	−11.2547	+	34.6384i	−0.471821	+	1.45212i	−0.850197	+	0.526465i	$0.823517\pi$
$570$	−4.85362	+	0.768738i	−0.203296	+	0.0321989i
$571$	−29.1637			−1.22046			−0.610231	−	0.792223i	$-0.708923\pi$
$571$	−29.1637			−1.22046			−0.610231	+	0.792223i	$0.708923\pi$
$572$	50.5436	−	15.4499i	2.11333	−	0.645995i
$573$	3.05106			0.127460
$574$	6.94963	−	1.10071i	0.290072	−	0.0459429i
$575$	−1.11600	+	3.43469i	−0.0465404	+	0.143236i
$576$	1.40760	−	0.457356i	0.0586498	−	0.0190565i
$577$	21.8890	+	3.46688i	0.911252	+	0.144328i	0.594421	−	0.804154i	$-0.297381\pi$
$577$	21.8890	+	3.46688i	0.911252	+	0.144328i	0.316831	+	0.948482i	$0.397381\pi$
$578$	−4.41692	+	27.8873i	−0.183720	+	1.15996i
$579$	3.64991	−	7.16336i	0.151685	−	0.297699i
$580$	−35.0041	+	17.8355i	−1.45347	+	0.740579i
$581$	−0.957665	−	0.695784i	−0.0397306	−	0.0288660i
$582$	−39.8971			−1.65379
$583$	−17.4451	+	19.6363i	−0.722504	+	0.813251i
$584$			46.6729i			1.93134i
$585$	4.48162	−	5.26877i	0.185292	−	0.217837i
$586$	17.1054	−	52.6449i	0.706617	−	2.17474i
$587$	12.5603	−	24.6510i	0.518419	−	1.01745i	−0.472289	−	0.881444i	$-0.656572\pi$
$587$	12.5603	−	24.6510i	0.518419	−	1.01745i	0.990707	−	0.136010i	$-0.0434280\pi$
$588$	−23.5672	+	17.1226i	−0.971896	+	0.706124i
$589$	−6.99315	+	5.08082i	−0.288148	+	0.209352i
$590$	10.0165	+	5.10365i	0.412372	+	0.210114i
$591$	−5.83856	−	11.4588i	−0.240166	−	0.471353i
$592$	32.4806	−	5.14443i	1.33495	−	0.211435i
$593$	−0.549353	−	0.549353i	−0.0225592	−	0.0225592i	0.695737	−	0.718296i	$-0.255078\pi$
$593$	−0.549353	−	0.549353i	−0.0225592	−	0.0225592i	−0.718296	+	0.695737i	$0.755078\pi$
$594$	−5.33181	−	6.49529i	−0.218767	−	0.266505i
$595$			6.50823i			0.266811i
$596$	12.2095	+	77.0877i	0.500120	+	3.15764i
$597$	−13.4930	−	4.38414i	−0.552232	−	0.179431i
$598$	24.2985	−	5.88536i	0.993639	−	0.240670i
$599$	10.5671	−	7.67742i	0.431758	−	0.313691i	−0.350593	−	0.936528i	$-0.614020\pi$
$599$	10.5671	−	7.67742i	0.431758	−	0.313691i	0.782352	+	0.622837i	$0.214020\pi$
$600$	−1.26564	+	7.99091i	−0.0516694	+	0.326228i
$601$	−21.1942	+	6.88640i	−0.864528	+	0.280902i	−0.707519	−	0.706695i	$-0.750185\pi$
$601$	−21.1942	+	6.88640i	−0.864528	+	0.280902i	−0.157010	+	0.987597i	$0.550185\pi$
$602$	−5.42294	+	16.6901i	−0.221023	+	0.680238i
$603$	1.23429	+	7.79303i	0.0502644	+	0.317357i
$604$	4.25879	−	4.25879i	0.173288	−	0.173288i
$605$	19.8001	+	7.29941i	0.804988	+	0.296763i
$606$	−15.6955	+	15.6955i	−0.637587	+	0.637587i
$607$	6.02653	−	8.29481i	0.244609	−	0.336676i	−0.669005	−	0.743258i	$-0.733279\pi$
$607$	6.02653	−	8.29481i	0.244609	−	0.336676i	0.913614	+	0.406582i	$0.133279\pi$
$608$	−4.51923	−	1.46839i	−0.183279	−	0.0595510i
$609$	2.64001	+	1.34515i	0.106978	+	0.0545082i
$610$	28.8587	+	39.7206i	1.16845	+	1.60824i
$611$	18.0374	−	11.1034i	0.729714	−	0.449195i
$612$	−22.2993	+	7.24549i	−0.901397	+	0.292882i
$613$	−12.4615	−	24.4571i	−0.503315	−	0.987812i	−0.993243	−	0.116049i	$-0.962977\pi$
$613$	−12.4615	−	24.4571i	−0.503315	−	0.987812i	0.489928	−	0.871763i	$-0.337023\pi$
$614$	−31.6330	−	22.9827i	−1.27661	−	0.927508i
$615$	−8.33111			−0.335943
$616$	−12.9406	−	1.27302i	−0.521393	−	0.0512916i
$617$	−4.70577	−	4.70577i	−0.189447	−	0.189447i	0.606010	−	0.795457i	$-0.292769\pi$
$617$	−4.70577	−	4.70577i	−0.189447	−	0.189447i	−0.795457	+	0.606010i	$0.792769\pi$
$618$	4.76608	+	30.0919i	0.191720	+	1.21047i
$619$	2.28647	+	4.48746i	0.0919011	+	0.180366i	0.932381	−	0.361476i	$-0.117727\pi$
$619$	2.28647	+	4.48746i	0.0919011	+	0.180366i	−0.840480	+	0.541842i	$0.817727\pi$
$620$	−22.4025	−	68.9478i	−0.899706	−	2.76901i
$621$	−1.60860	−	2.21405i	−0.0645508	−	0.0888466i
$622$	−87.7619	−	13.9001i	−3.51893	−	0.557344i
$623$	−1.22670	−	3.77540i	−0.0491468	−	0.151258i
$624$	22.2814	−	9.28190i	0.891969	−	0.371573i
$625$	−13.4786	−	9.79275i	−0.539143	−	0.391710i
$626$	43.6042	−	43.6042i	1.74277	−	1.74277i
$627$	−0.197785	−	3.34720i	−0.00789875	−	0.133674i
$628$			20.6650i			0.824624i
$629$	25.7393	−	4.07670i	1.02629	−	0.162549i
$630$	−2.76956	+	1.41116i	−0.110342	+	0.0562221i
$631$	35.3182	+	17.9955i	1.40599	+	0.716389i	0.981930	−	0.189243i	$-0.0606034\pi$
$631$	35.3182	+	17.9955i	1.40599	+	0.716389i	0.424063	+	0.905633i	$0.360603\pi$
$632$	4.55287	−	28.7457i	0.181103	−	1.14344i
$633$	6.68278	+	9.19806i	0.265617	+	0.365590i
$634$	−19.1012	−	58.7875i	−0.758606	−	2.33475i
$635$	9.10550	−	4.63948i	0.361341	−	0.184112i
$636$	−20.5738	+	28.3175i	−0.815806	+	1.12286i
$637$	18.0395	−	15.4701i	0.714750	−	0.612950i
$638$	−14.1953	−	36.2562i	−0.561996	−	1.43540i
$639$	−2.78667	−	2.78667i	−0.110239	−	0.110239i
$640$	−14.8287	+	20.4100i	−0.586156	+	0.806774i
$641$	10.9229	+	3.54906i	0.431428	+	0.140179i	0.516677	−	0.856180i	$-0.327169\pi$
$641$	10.9229	+	3.54906i	0.431428	+	0.140179i	−0.0852494	+	0.996360i	$0.527169\pi$
$642$	10.7028	−	21.0055i	0.422407	−	0.829020i
$643$	17.1057	+	2.70927i	0.674582	+	0.106843i	0.484321	−	0.874890i	$-0.339067\pi$
$643$	17.1057	+	2.70927i	0.674582	+	0.106843i	0.190261	+	0.981734i	$0.439067\pi$
$644$	−7.63959	−	1.20999i	−0.301042	−	0.0476804i
$645$	9.43323	−	18.5138i	0.371433	−	0.728979i
$646$	−12.9240	−	4.19926i	−0.508488	−	0.165218i
$647$	−4.56863	+	6.28818i	−0.179611	+	0.247214i	−0.889324	−	0.457277i	$-0.848825\pi$
$647$	−4.56863	+	6.28818i	−0.179611	+	0.247214i	0.709713	+	0.704491i	$0.248825\pi$
$648$	−4.33520	−	4.33520i	−0.170303	−	0.170303i
$649$	−4.13474	+	6.46075i	−0.162303	+	0.253606i
$650$	0.921636	−	12.0201i	0.0361495	−	0.471469i
$651$	−3.21380	+	4.42341i	−0.125959	+	0.173367i
$652$	67.7736	−	34.5324i	2.65422	−	1.35239i
$653$	−1.55792	−	4.79480i	−0.0609663	−	0.187635i	0.915935	−	0.401327i	$-0.131451\pi$
$653$	−1.55792	−	4.79480i	−0.0609663	−	0.187635i	−0.976901	+	0.213692i	$0.931451\pi$
$654$	−21.9830	−	30.2570i	−0.859604	−	1.18314i
$655$	−4.97825	+	31.4314i	−0.194516	+	1.22813i
$656$	−25.9034	−	13.1984i	−1.01136	−	0.515313i
$657$	−6.78300	+	3.45611i	−0.264630	+	0.134836i
$658$	−9.40109	+	1.48899i	−0.366493	+	0.0580467i
$659$			27.5518i			1.07327i	0.843816	+	0.536633i	$0.180304\pi$
$659$			27.5518i			1.07327i	−0.843816	+	0.536633i	$0.819696\pi$
$660$	27.2111	+	7.09726i	1.05919	+	0.276261i
$661$	−14.3248	+	14.3248i	−0.557172	+	0.557172i	−0.928501	−	0.371329i	$-0.878902\pi$
$661$	−14.3248	+	14.3248i	−0.557172	+	0.557172i	0.371329	+	0.928501i	$0.378902\pi$
$662$	63.2555	+	45.9578i	2.45849	+	1.78620i
$663$	17.6569	−	7.35544i	0.685736	−	0.285662i
$664$	3.50700	+	10.7934i	0.136098	+	0.418867i
$665$	−1.22499	−	0.194020i	−0.0475032	−	0.00752377i
$666$	7.31582	+	10.0694i	0.283482	+	0.390180i
$667$	−3.91840	−	12.0596i	−0.151721	−	0.466949i
$668$	−13.9564	−	27.3909i	−0.539988	−	1.05979i
$669$	1.23695	+	7.80978i	0.0478232	+	0.301944i
$670$	−27.1191	−	27.1191i	−1.04770	−	1.04770i
$671$	−28.9000	+	16.9431i	−1.11567	+	0.654081i
$672$	−3.00568			−0.115947
$673$	−38.8213	−	28.2054i	−1.49645	−	1.08724i	−0.971768	−	0.235940i	$-0.924183\pi$
$673$	−38.8213	−	28.2054i	−1.49645	−	1.08724i	−0.524685	−	0.851297i	$-0.675817\pi$
$674$	−36.1548	−	70.9577i	−1.39263	−	2.73319i
$675$	−1.25504	+	0.407788i	−0.0483066	+	0.0156958i
$676$	−51.0885	+	26.2908i	−1.96494	+	1.01118i
$677$	−12.3360	−	16.9790i	−0.474109	−	0.652555i	0.503250	−	0.864141i	$-0.332137\pi$
$677$	−12.3360	−	16.9790i	−0.474109	−	0.652555i	−0.977360	+	0.211585i	$0.932137\pi$
$678$	1.03320	+	0.526443i	0.0396799	+	0.0202179i
$679$	−9.57670	−	3.11166i	−0.367520	−	0.119414i
$680$	36.6757	−	50.4798i	1.40645	−	1.93581i
$681$	11.6114	−	11.6114i	0.444949	−	0.444949i
$682$	70.1790	−	15.4063i	2.68729	−	0.589938i
$683$	−34.2868	+	34.2868i	−1.31195	+	1.31195i	−0.391971	+	0.919978i	$0.628207\pi$
$683$	−34.2868	+	34.2868i	−1.31195	+	1.31195i	−0.919978	+	0.391971i	$0.871793\pi$
$684$	−0.698988	−	4.41323i	−0.0267265	−	0.168744i
$685$	−2.83657	+	8.73008i	−0.108380	+	0.333559i
$686$	−20.9433	+	6.80488i	−0.799618	+	0.259812i
$687$	−2.23838	+	14.1326i	−0.0853996	+	0.539192i
$688$	58.6603	−	42.6192i	2.23640	−	1.62484i
$689$	14.8706	−	24.3767i	0.566523	−	0.928677i
$690$	12.6514	+	4.11069i	0.481631	+	0.156491i
$691$	0.402950	+	2.54413i	0.0153290	+	0.0967832i	0.994167	−	0.107855i	$-0.0343982\pi$
$691$	0.402950	+	2.54413i	0.0153290	+	0.0967832i	−0.978838	+	0.204638i	$0.934398\pi$
$692$			46.3864i			1.76335i
$693$	−0.773239	−	1.97494i	−0.0293729	−	0.0750216i
$694$	−44.0741	−	44.0741i	−1.67303	−	1.67303i
$695$	−38.4307	+	6.08683i	−1.45776	+	0.230887i
$696$	−12.8964	−	25.3106i	−0.488837	−	0.959396i
$697$	−20.5271	−	10.4591i	−0.777521	−	0.396167i
$698$	−34.3699	+	24.9712i	−1.30092	+	0.945175i
$699$	12.4530	−	9.04765i	0.471016	−	0.342213i
$700$	−1.69325	+	3.32319i	−0.0639988	+	0.125605i
$701$	−9.97836	+	30.7102i	−0.376878	+	1.15991i	0.565326	+	0.824868i	$0.308751\pi$
$701$	−9.97836	+	30.7102i	−0.376878	+	1.15991i	−0.942203	+	0.335042i	$0.891249\pi$
$702$	6.95859	+	5.91899i	0.262635	+	0.223398i
$703$			4.96624i			0.187305i
$704$	−3.66969	−	3.26020i	−0.138306	−	0.122873i
$705$	11.2699			0.424448
$706$	−28.3052	−	20.5650i	−1.06528	−	0.773973i
$707$	−4.99160	+	2.54335i	−0.187728	+	0.0956524i
$708$	−4.64058	+	9.10764i	−0.174403	+	0.342286i
$709$	−6.04221	+	38.1490i	−0.226920	+	1.43272i	0.566509	+	0.824055i	$0.308293\pi$
$709$	−6.04221	+	38.1490i	−0.226920	+	1.43272i	−0.793430	+	0.608662i	$0.791707\pi$
$710$	18.9201	+	2.99666i	0.710060	+	0.112463i
$711$	4.51476	−	1.46694i	0.169317	−	0.0550144i
$712$	−11.7608	+	36.1960i	−0.440754	+	1.35650i
$713$	23.1112	−	3.66045i	0.865520	−	0.137085i
$714$	−8.59558			−0.321681
$715$	−22.5923	−	3.98481i	−0.844906	−	0.149024i
$716$	81.6712			3.05220
$717$	−10.1137	+	1.60186i	−0.377705	+	0.0598225i
$718$	−2.08970	+	6.43142i	−0.0779868	+	0.240019i
$719$	−5.21434	+	1.69424i	−0.194462	+	0.0631845i	−0.404629	−	0.914481i	$-0.632599\pi$
$719$	−5.21434	+	1.69424i	−0.194462	+	0.0631845i	0.210167	+	0.977666i	$0.432599\pi$
$720$	12.6848	+	2.00908i	0.472735	+	0.0748739i
$721$	−1.20290	+	7.59482i	−0.0447984	+	0.282846i
$722$	−20.6797	+	40.5862i	−0.769619	+	1.51046i
$723$	26.1082	−	13.3028i	0.970973	−	0.494735i
$724$	−70.3505	−	51.1126i	−2.61455	−	1.89958i
$725$	−6.11435			−0.227081
$726$	−9.64052	+	26.1505i	−0.357793	+	0.970535i
$727$			9.82229i			0.364289i	0.983272	+	0.182144i	$0.0583038\pi$
$727$			9.82229i			0.364289i	−0.983272	+	0.182144i	$0.941696\pi$
$728$	14.0900	−	1.13748i	0.522211	−	0.0421579i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	16.7993	−	32.9705i	0.621770	−	1.22029i
$731$	46.4854	−	33.7736i	1.71932	−	1.24916i
$732$	−36.1166	+	26.2403i	−1.33491	+	0.969868i
$733$	11.6555	+	5.93876i	0.430505	+	0.219353i	0.655796	−	0.754938i	$-0.272333\pi$
$733$	11.6555	+	5.93876i	0.430505	+	0.219353i	−0.225291	+	0.974292i	$0.572333\pi$
$734$	26.4908	+	51.9911i	0.977793	+	1.91903i
$735$	12.4888	−	1.97803i	0.460657	−	0.0729609i
$736$	9.09558	+	9.09558i	0.335268	+	0.335268i
$737$	20.2268	−	16.6036i	0.745063	−	0.611602i
$738$		−	11.0031i		−	0.405030i
$739$	1.18171	+	7.46103i	0.0434700	+	0.274459i	0.999844	−	0.0176879i	$-0.00563053\pi$
$739$	1.18171	+	7.46103i	0.0434700	+	0.274459i	−0.956374	+	0.292146i	$0.905631\pi$
$740$	−39.6126	−	12.8709i	−1.45619	−	0.473144i
$741$	0.858081	+	3.54270i	0.0315224	+	0.130144i
$742$	−10.3811	+	7.54232i	−0.381103	+	0.276887i
$743$	1.45801	−	9.20552i	0.0534893	−	0.337718i	−0.946402	−	0.322990i	$-0.895312\pi$
$743$	1.45801	−	9.20552i	0.0534893	−	0.337718i	0.999892	−	0.0147276i	$-0.00468812\pi$
$744$	49.8544	−	16.1987i	1.82775	−	0.593872i
$745$	10.4688	−	32.2198i	0.383548	−	1.18044i
$746$	4.70265	+	29.6914i	0.172176	+	1.08708i
$747$	−1.30892	+	1.30892i	−0.0478910	+	0.0478910i
$748$	58.1357	+	51.6486i	2.12565	+	1.88846i
$749$	4.20731	−	4.20731i	0.153732	−	0.153732i
$750$	18.0557	−	24.8515i	0.659301	−	0.907450i
$751$	−35.0150	−	11.3771i	−1.27772	−	0.415155i	−0.409941	−	0.912112i	$-0.634451\pi$
$751$	−35.0150	−	11.3771i	−1.27772	−	0.415155i	−0.867775	+	0.496957i	$0.834451\pi$
$752$	35.0407	+	17.8541i	1.27780	+	0.651074i
$753$	1.86790	+	2.57095i	0.0680701	+	0.0936905i
$754$	22.1890	+	36.0459i	0.808075	+	1.31271i
$755$	−2.48633	+	0.807856i	−0.0904866	+	0.0294009i
$756$	−1.28312	−	2.51827i	−0.0466667	−	0.0915886i
$757$	42.5886	+	30.9424i	1.54791	+	1.12462i	0.945122	+	0.326717i	$0.105943\pi$
$757$	42.5886	+	30.9424i	1.54791	+	1.12462i	0.602785	+	0.797903i	$0.294057\pi$
$758$	−8.86001			−0.321810
$759$	−3.63649	+	8.31633i	−0.131996	+	0.301864i
$760$	8.40807	+	8.40807i	0.304993	+	0.304993i
$761$	−7.40825	−	46.7738i	−0.268549	−	1.69555i	−0.641034	−	0.767512i	$-0.721494\pi$
$761$	−7.40825	−	46.7738i	−0.268549	−	1.69555i	0.372485	−	0.928038i	$-0.378506\pi$
$762$	6.12748	+	12.0259i	0.221975	+	0.435651i
$763$	−2.91688	−	8.97725i	−0.105598	−	0.324998i
$764$	−7.92619	−	10.9095i	−0.286759	−	0.394691i
$765$	10.0521	+	1.59209i	0.363434	+	0.0575623i
$766$	12.1644	+	37.4382i	0.439518	+	1.35270i
$767$	3.17557	−	7.71043i	0.114663	−	0.278407i
$768$	−24.5612	−	17.8448i	−0.886276	−	0.643917i
$769$	14.0841	−	14.0841i	0.507887	−	0.507887i	−0.405990	−	0.913877i	$-0.633073\pi$
$769$	14.0841	−	14.0841i	0.507887	−	0.507887i	0.913877	+	0.405990i	$0.133073\pi$
$770$	8.68326	+	5.55710i	0.312923	+	0.200264i
$771$		−	18.5958i		−	0.669712i
$772$	−35.0955	+	5.55858i	−1.26311	+	0.200058i
$773$	−23.7687	+	12.1107i	−0.854899	+	0.435593i	−0.825786	−	0.563983i	$-0.809268\pi$
$773$	−23.7687	+	12.1107i	−0.854899	+	0.435593i	−0.0291128	+	0.999576i	$0.509268\pi$
$774$	24.4516	+	12.4587i	0.878894	+	0.447819i
$775$	1.76505	−	11.1441i	0.0634026	−	0.400308i
$776$	56.7447	+	78.1024i	2.03702	+	2.80371i
$777$	0.970722	+	2.98757i	0.0348245	+	0.107179i
$778$	20.0221	−	10.2017i	0.717825	−	0.365750i
$779$	2.58058	−	3.55187i	0.0924590	−	0.127259i
$780$	−30.4817	−	2.33717i	−1.09142	−	0.0836840i
$781$	−3.29876	+	12.6475i	−0.118039	+	0.452564i
$782$	26.0113	+	26.0113i	0.930163	+	0.930163i
$783$	2.72343	−	3.74848i	0.0973275	−	0.133960i
$784$	41.9644	+	13.6351i	1.49873	+	0.486966i
$785$	4.07224	−	7.99222i	0.145344	−	0.285255i
$786$	−41.5123	−	6.57490i	−1.48069	−	0.234519i
$787$	−26.2254	−	4.15370i	−0.934834	−	0.148063i	−0.329609	−	0.944117i	$-0.606917\pi$
$787$	−26.2254	−	4.15370i	−0.934834	−	0.148063i	−0.605225	+	0.796054i	$0.706917\pi$
$788$	−25.8048	+	50.6448i	−0.919259	+	1.80415i
$789$	16.0342	+	5.20984i	0.570834	+	0.185475i
$790$	−13.5629	+	18.6677i	−0.482545	+	0.664166i
$791$	0.206947	+	0.206947i	0.00735817	+	0.00735817i
$792$	−5.13185	+	19.6756i	−0.182352	+	0.699143i
$793$	27.6454	−	23.7079i	0.981716	−	0.841892i
$794$	−42.3458	+	58.2841i	−1.50280	+	2.06842i
$795$	13.5372	−	6.89754i	0.480114	−	0.244631i
$796$	19.3767	+	59.6353i	0.686788	+	2.11372i
$797$	−20.9536	−	28.8402i	−0.742216	−	1.02157i	−0.998488	−	0.0549679i	$-0.982494\pi$
$797$	−20.9536	−	28.8402i	−0.742216	−	1.02157i	0.256272	−	0.966605i	$-0.417506\pi$
$798$	0.256247	−	1.61788i	0.00907105	−	0.0572723i
$799$	27.7680	+	14.1485i	0.982362	+	0.500539i
$800$	5.52650	−	2.81589i	0.195391	−	0.0995567i
$801$	−6.13126	+	0.971097i	−0.216638	+	0.0343120i
$802$		−	17.9688i		−	0.634499i
$803$	21.2664	+	13.6100i	0.750474	+	0.480287i
$804$	24.6585	−	24.6585i	0.869638	−	0.869638i
$805$	2.71618	+	1.97342i	0.0957328	+	0.0695539i
$806$	−72.1033	+	30.0365i	−2.53973	+	1.05799i
$807$	0.153853	+	0.473511i	0.00541588	+	0.0166684i
$808$	53.0489	+	8.40212i	1.86625	+	0.295586i
$809$	−2.62115	−	3.60771i	−0.0921548	−	0.126840i	0.760450	−	0.649397i	$-0.224978\pi$
$809$	−2.62115	−	3.60771i	−0.0921548	−	0.126840i	−0.852605	+	0.522556i	$0.824978\pi$
$810$	1.50206	+	4.62285i	0.0527769	+	0.162431i
$811$	−9.15756	−	17.9727i	−0.321566	−	0.631108i	0.672475	−	0.740120i	$-0.265231\pi$
$811$	−9.15756	−	17.9727i	−0.321566	−	0.631108i	−0.994040	+	0.109012i	$0.965231\pi$
$812$	−2.04857	−	12.9342i	−0.0718908	−	0.453901i
$813$	−12.7255	−	12.7255i	−0.446302	−	0.446302i
$814$	16.5386	−	37.8222i	0.579676	−	1.32567i
$815$	−33.0165			−1.15652
$816$	28.7321	+	20.8751i	1.00582	+	0.730774i
$817$	4.97115	+	9.75643i	0.173918	+	0.341334i
$818$	−15.6055	+	5.07052i	−0.545632	+	0.177287i
$819$	1.20867	+	1.96348i	0.0422344	+	0.0686095i
$820$	21.6430	+	29.7890i	0.755805	+	1.04028i
$821$	31.7839	+	16.1947i	1.10926	+	0.565198i	0.909942	−	0.414736i	$-0.136126\pi$
$821$	31.7839	+	16.1947i	1.10926	+	0.565198i	0.199322	+	0.979934i	$0.436126\pi$
$822$	−11.5300	−	3.74633i	−0.402156	−	0.130668i
$823$	−23.2279	+	31.9705i	−0.809674	+	1.11442i	0.181699	+	0.983354i	$0.441840\pi$
$823$	−23.2279	+	31.9705i	−0.809674	+	1.11442i	−0.991373	+	0.131067i	$0.958160\pi$
$824$	52.1291	−	52.1291i	1.81600	−	1.81600i
$825$	3.27197	+	2.90687i	0.113915	+	0.101204i
$826$	−2.64972	+	2.64972i	−0.0921955	+	0.0921955i
$827$	−3.07861	−	19.4376i	−0.107054	−	0.675911i	−0.981597	−	0.190963i	$-0.938839\pi$
$827$	−3.07861	−	19.4376i	−0.107054	−	0.675911i	0.874543	−	0.484947i	$-0.161161\pi$
$828$	−3.73772	+	11.5035i	−0.129895	+	0.399775i
$829$	−3.50423	+	1.13859i	−0.121707	+	0.0395450i	−0.369237	−	0.929335i	$-0.620381\pi$
$829$	−3.50423	+	1.13859i	−0.121707	+	0.0395450i	0.247530	+	0.968880i	$0.420381\pi$
$830$	1.40756	−	8.88696i	0.0488570	−	0.308471i
$831$	20.9233	−	15.2017i	0.725821	−	0.527340i
$832$	4.55559	+	2.77905i	0.157937	+	0.0963464i
$833$	33.2547	+	10.8051i	1.15221	+	0.374374i
$834$	−8.03903	−	50.7564i	−0.278369	−	1.75755i
$835$			13.3437i			0.461777i
$836$	−11.4545	+	9.40272i	−0.396163	+	0.325200i
$837$	6.04586	+	6.04586i	0.208976	+	0.208976i
$838$	40.9971	−	6.49331i	1.41622	−	0.224308i
$839$	−11.1310	−	21.8459i	−0.384285	−	0.754203i	0.615129	−	0.788427i	$-0.289104\pi$
$839$	−11.1310	−	21.8459i	−0.384285	−	0.754203i	−0.999414	+	0.0342241i	$0.989104\pi$
$840$	6.70158	+	3.41462i	0.231226	+	0.117816i
$841$	−6.09337	+	4.42709i	−0.210116	+	0.152658i
$842$	31.1089	−	22.6020i	1.07208	−	0.778915i
$843$	−11.2290	+	22.0381i	−0.386746	+	0.759031i
$844$	15.5280	−	47.7903i	0.534497	−	1.64501i
$845$	24.9394	−	0.100517i	0.857941	−	0.00345790i
$846$			14.8844i			0.511737i
$847$	−4.35359	+	5.52514i	−0.149591	+	0.189846i
$848$	53.0176			1.82063
$849$	−21.4610	−	15.5923i	−0.736538	−	0.535126i
$850$	15.8045	−	8.05282i	0.542091	−	0.276209i
$851$	6.10326	−	11.9783i	0.209217	−	0.410611i
$852$	−2.72476	+	17.2035i	−0.0933487	+	0.589381i
$853$	20.3302	+	3.21999i	0.696094	+	0.110250i	0.494447	−	0.869208i	$-0.335371\pi$
$853$	20.3302	+	3.21999i	0.696094	+	0.110250i	0.201647	+	0.979458i	$0.435371\pi$
$854$	−15.5649	+	5.05733i	−0.532619	+	0.173058i
$855$	−0.599335	+	1.84456i	−0.0204968	+	0.0630828i
$856$	−56.3426	+	8.92379i	−1.92575	+	0.305009i
$857$	0.624885			0.0213457			0.0106728	−	0.999943i	$-0.496603\pi$
$857$	0.624885			0.0213457			0.0106728	+	0.999943i	$0.496603\pi$
$858$	5.26284	−	29.8383i	0.179670	−	1.01866i
$859$	31.0319			1.05880			0.529398	−	0.848374i	$-0.322418\pi$
$859$	31.0319			1.05880			0.529398	+	0.848374i	$0.322418\pi$
$860$	−90.7045	+	14.3662i	−3.09300	+	0.489883i
$861$	0.858155	−	2.64113i	0.0292459	−	0.0900095i
$862$	2.64635	−	0.859850i	0.0901349	−	0.0292866i
$863$	−48.0270	−	7.60673i	−1.63486	−	0.258936i	−0.729623	−	0.683849i	$-0.760305\pi$
$863$	−48.0270	−	7.60673i	−1.63486	−	0.258936i	−0.905234	+	0.424913i	$0.860305\pi$
$864$	−0.735274	+	4.64233i	−0.0250145	+	0.157935i
$865$	9.14088	−	17.9400i	0.310799	−	0.609978i
$866$	−65.4812	+	33.3643i	−2.22514	+	1.13377i
$867$	9.01543	+	6.55010i	0.306180	+	0.222453i
$868$	24.1654			0.820229
$869$	−11.7703	−	10.4569i	−0.399278	−	0.354725i
$870$			22.5217i			0.763558i
$871$	−18.4321	+	21.6695i	−0.624549	+	0.734244i
$872$	−27.9651	+	86.0678i	−0.947018	+	2.91462i
$873$	−7.14875	+	14.0302i	−0.241948	+	0.474850i
$874$	−5.67135	+	4.12048i	−0.191836	+	0.139377i
$875$	6.27222	−	4.55704i	0.212040	−	0.154056i
$876$	29.9790	+	15.2750i	1.01290	+	0.516096i
$877$	−20.7608	−	40.7454i	−0.701043	−	1.37587i	−0.916768	−	0.399420i	$-0.869212\pi$
$877$	−20.7608	−	40.7454i	−0.701043	−	1.37587i	0.215725	−	0.976454i	$-0.430788\pi$
$878$	−51.3274	+	8.12947i	−1.73222	+	0.274356i
$879$	−15.4482	−	15.4482i	−0.521054	−	0.521054i
$880$	−15.5293	−	39.6635i	−0.523493	−	1.33706i
$881$			42.3007i			1.42515i	0.701598	+	0.712573i	$0.252470\pi$
$881$			42.3007i			1.42515i	−0.701598	+	0.712573i	$0.747530\pi$
$882$	2.61244	+	16.4943i	0.0879654	+	0.555392i
$883$	−18.2567	−	5.93197i	−0.614388	−	0.199627i	−0.0147407	−	0.999891i	$-0.504692\pi$
$883$	−18.2567	−	5.93197i	−0.614388	−	0.199627i	−0.599647	+	0.800265i	$0.704692\pi$
$884$	−72.1702	−	44.0262i	−2.42735	−	1.48076i
$885$	3.58949	−	2.60792i	0.120660	−	0.0876643i
$886$	−7.49454	+	47.3186i	−0.251784	+	1.58970i
$887$	−7.50321	+	2.43794i	−0.251933	+	0.0818580i	−0.432261	−	0.901749i	$-0.642284\pi$
$887$	−7.50321	+	2.43794i	−0.251933	+	0.0818580i	0.180328	+	0.983607i	$0.442284\pi$
$888$	9.30663	−	28.6429i	0.312310	−	0.961191i
$889$	0.532888	+	3.36452i	0.0178725	+	0.112842i
$890$	21.3363	−	21.3363i	0.715194	−	0.715194i
$891$	−3.23948	+	0.711159i	−0.108527	+	0.0238247i
$892$	24.7115	−	24.7115i	0.827402	−	0.827402i
$893$	−3.49087	+	4.80478i	−0.116818	+	0.160786i
$894$	42.5534	+	13.8265i	1.42320	+	0.462426i
$895$	−31.5864	−	16.0941i	−1.05582	−	0.537966i
$896$	−4.94292	−	6.80335i	−0.165131	−	0.227284i
$897$	2.28415	−	9.59934i	0.0762654	−	0.320513i
$898$	74.4062	−	24.1761i	2.48297	−	0.806765i
$899$	17.9853	+	35.2981i	0.599843	+	1.17726i
$900$	4.71851	+	3.42820i	0.157284	+	0.114273i
$901$	42.0138			1.39968
$902$	−31.4818	+	18.4567i	−1.04823	+	0.614541i
$903$	4.89756	+	4.89756i	0.162980	+	0.162980i
$904$	−0.438938	−	2.77135i	−0.0145989	−	0.0921736i
$905$	17.1359	+	33.6311i	0.569616	+	1.11793i
$906$	−1.06696	−	3.28375i	−0.0354472	−	0.109095i
$907$	0.364588	+	0.501812i	0.0121059	+	0.0166624i	0.815027	−	0.579423i	$-0.196722\pi$
$907$	0.364588	+	0.501812i	0.0121059	+	0.0166624i	−0.802921	+	0.596085i	$0.796722\pi$
$908$	−71.6826	−	11.3534i	−2.37887	−	0.376776i
$909$	2.70717	+	8.33180i	0.0897910	+	0.276348i
$910$	−10.3628	−	4.26798i	−0.343525	−	0.141482i
$911$	13.6716	+	9.93299i	0.452960	+	0.329095i	0.790763	−	0.612122i	$-0.209684\pi$
$911$	13.6716	+	9.93299i	0.452960	+	0.329095i	−0.337803	+	0.941217i	$0.609684\pi$
$912$	−4.78570	+	4.78570i	−0.158470	+	0.158470i
$913$	5.94066	+	1.54946i	0.196607	+	0.0512795i
$914$		−	3.33309i		−	0.110249i
$915$	19.1390	−	3.03132i	0.632717	−	0.100212i
$916$	56.3479	−	28.7107i	1.86179	−	0.948628i
$917$	−9.45161	−	4.81583i	−0.312120	−	0.159033i
$918$	−2.10272	+	13.2760i	−0.0694000	+	0.438175i
$919$	17.4902	+	24.0732i	0.576949	+	0.794102i	0.993357	−	0.115076i	$-0.0367111\pi$
$919$	17.4902	+	24.0732i	0.576949	+	0.794102i	−0.416408	+	0.909178i	$0.636711\pi$
$920$	−9.94674	−	30.6129i	−0.327934	−	1.00928i
$921$	−13.7501	+	7.00603i	−0.453081	+	0.230856i
$922$	−11.3521	+	15.6249i	−0.373862	+	0.514577i
$923$	1.08630	−	14.1677i	0.0357560	−	0.466336i
$924$	−5.05288	+	7.89540i	−0.166228	+	0.259740i
$925$	−4.58378	−	4.58378i	−0.150714	−	0.150714i
$926$	−15.4194	+	21.2229i	−0.506712	+	0.697429i
$927$	11.4361	+	3.71581i	0.375610	+	0.122043i
$928$	−9.88692	+	19.4042i	−0.324554	+	0.636973i
$929$	−47.9741	−	7.59836i	−1.57398	−	0.249294i	−0.692466	−	0.721451i	$-0.743476\pi$
$929$	−47.9741	−	7.59836i	−1.57398	−	0.249294i	−0.881514	+	0.472157i	$0.843476\pi$
$930$	−41.0485	−	6.50144i	−1.34603	−	0.213191i
$931$	−3.02513	+	5.93716i	−0.0991447	+	0.194582i
$932$	−64.7021	−	21.0230i	−2.11939	−	0.688631i
$933$	−20.6133	+	28.3717i	−0.674848	+	0.928849i
$934$	−52.1307	−	52.1307i	−1.70577	−	1.70577i
$935$	−12.3062	−	31.4313i	−0.402456	−	1.02791i
$936$	1.68995	−	22.0406i	0.0552376	−	0.720418i
$937$	6.55019	−	9.01556i	0.213985	−	0.294526i	−0.688509	−	0.725228i	$-0.741734\pi$
$937$	6.55019	−	9.01556i	0.213985	−	0.294526i	0.902494	+	0.430703i	$0.141734\pi$
$938$	11.3907	−	5.80387i	0.371921	−	0.189503i
$939$	−7.52086	−	23.1468i	−0.245434	−	0.755368i
$940$	−29.2774	−	40.2969i	−0.954925	−	1.31434i
$941$	7.59610	−	47.9599i	0.247626	−	1.56345i	−0.479872	−	0.877338i	$-0.659317\pi$
$941$	7.59610	−	47.9599i	0.247626	−	1.56345i	0.727498	−	0.686110i	$-0.240683\pi$
$942$	10.5555	+	5.37831i	0.343918	+	0.175235i
$943$	−10.5893	+	5.39551i	−0.344835	+	0.175702i
$944$	15.2922	−	2.42204i	0.497717	−	0.0788306i
$945$			1.22680i			0.0399077i
$946$	−5.36879	−	90.8585i	−0.174554	−	2.95407i
$947$	32.3994	−	32.3994i	1.05284	−	1.05284i	0.0543164	−	0.998524i	$-0.482702\pi$
$947$	32.3994	−	32.3994i	1.05284	−	1.05284i	0.998524	−	0.0543164i	$-0.0172980\pi$
$948$	−16.9739	−	12.3323i	−0.551286	−	0.400533i
$949$	−25.3799	−	10.4528i	−0.823865	−	0.339313i
$950$	1.04456	+	3.21484i	0.0338901	+	0.104303i
$951$	−24.0957	−	3.81639i	−0.781358	−	0.123755i
$952$	12.2253	+	16.8267i	0.396224	+	0.545356i
$953$	−13.1795	−	40.5624i	−0.426926	−	1.31394i	−0.901138	−	0.433533i	$-0.857267\pi$
$953$	−13.1795	−	40.5624i	−0.426926	−	1.31394i	0.474211	−	0.880411i	$-0.342733\pi$
$954$	9.10975	+	17.8789i	0.294939	+	0.578851i
$955$	0.915649	+	5.78118i	0.0296297	+	0.187074i
$956$	32.0016	+	32.0016i	1.03501	+	1.03501i
$957$	−15.2934	−	1.50447i	−0.494364	−	0.0486326i
$958$	75.7662			2.44790
$959$	−2.47543	−	1.79850i	−0.0799357	−	0.0580767i
$960$	1.28903	+	2.52987i	0.0416034	+	0.0816512i
$961$	−40.0441	+	13.0111i	−1.29175	+	0.419714i
$962$	−10.3882	+	43.6573i	−0.334928	+	1.40757i
$963$	−5.46905	−	7.52750i	−0.176238	−	0.242570i
$964$	−115.391	−	58.7946i	−3.71649	−	1.89365i
$965$	14.6686	+	4.76611i	0.472198	+	0.153426i
$966$	−2.60635	+	3.58733i	−0.0838578	+	0.115420i
$967$	−22.3967	+	22.3967i	−0.720229	+	0.720229i	−0.968652	−	0.248423i	$-0.920088\pi$
$967$	−22.3967	+	22.3967i	−0.720229	+	0.720229i	0.248423	+	0.968652i	$0.420088\pi$
$968$	64.9036	−	18.3210i	2.08608	−	0.588858i
$969$	−3.79243	+	3.79243i	−0.121830	+	0.121830i
$970$	−11.9735	−	75.5974i	−0.384444	−	2.42729i
$971$	−13.7640	+	42.3613i	−0.441708	+	1.35944i	0.444346	+	0.895855i	$0.353436\pi$
$971$	−13.7640	+	42.3613i	−0.441708	+	1.35944i	−0.886054	+	0.463582i	$0.846564\pi$
$972$	−4.20341	+	1.36577i	−0.134824	+	0.0438071i
$973$	2.02895	−	12.8103i	0.0650452	−	0.410679i
$974$	32.9783	−	23.9601i	1.05669	−	0.767732i
$975$	−4.06186	−	2.47787i	−0.130084	−	0.0793552i
$976$	64.3101	+	20.8956i	2.05852	+	0.668853i
$977$	2.60795	+	16.4660i	0.0834358	+	0.526793i	0.993637	+	0.112627i	$0.0359266\pi$
$977$	2.60795	+	16.4660i	0.0834358	+	0.526793i	−0.910201	+	0.414166i	$0.864073\pi$
$978$		−	43.6057i		−	1.39436i
$979$	13.0631	+	15.9137i	0.417499	+	0.508603i
$980$	−39.5168	−	39.5168i	−1.26232	−	1.26232i
$981$	−14.5791	+	2.30910i	−0.465474	+	0.0737239i
$982$	−3.27094	−	6.41959i	−0.104380	−	0.204857i
$983$	7.75998	+	3.95391i	0.247505	+	0.126110i	0.573343	−	0.819316i	$-0.305646\pi$
$983$	7.75998	+	3.95391i	0.247505	+	0.126110i	−0.325838	+	0.945426i	$0.605646\pi$
$984$	−21.5397	+	15.6495i	−0.686659	+	0.498887i
$985$	19.9601	−	14.5018i	0.635981	−	0.462067i
$986$	−28.2744	+	55.4916i	−0.900440	+	1.76721i
$987$	−1.16087	+	3.57278i	−0.0369508	+	0.113723i
$988$	10.4382	−	12.2716i	0.332084	−	0.390411i
$989$		−	29.6413i		−	0.942538i
$990$	10.7072	−	12.0521i	0.340298	−	0.383039i
$991$	−49.4834			−1.57189			−0.785945	−	0.618296i	$-0.787823\pi$
$991$	−49.4834			−1.57189			−0.785945	+	0.618296i	$0.787823\pi$
$992$	−32.5123	−	23.6216i	−1.03227	−	0.749985i
$993$	27.4956	−	14.0097i	0.872546	−	0.444584i
$994$	−2.89889	+	5.68940i	−0.0919473	+	0.180457i
$995$	4.25775	−	26.8824i	0.134980	−	0.852229i
$996$	8.08062	+	1.27984i	0.256044	+	0.0405534i
$997$	−6.26342	+	2.03511i	−0.198364	+	0.0644525i	−0.406514	−	0.913644i	$-0.633256\pi$
$997$	−6.26342	+	2.03511i	−0.198364	+	0.0644525i	0.208150	+	0.978097i	$0.433256\pi$
$998$	20.0788	−	61.7963i	0.635584	−	1.95613i
$999$	4.85183	−	0.768455i	0.153505	−	0.0243128i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.b.73.1	✓	112
11.8	odd	10	inner	429.2.bj.b.151.14	yes	112
13.5	odd	4	inner	429.2.bj.b.304.14	yes	112
143.96	even	20	inner	429.2.bj.b.382.1	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.b.73.1	✓	112	1.1	even	1	trivial
429.2.bj.b.151.14	yes	112	11.8	odd	10	inner
429.2.bj.b.304.14	yes	112	13.5	odd	4	inner
429.2.bj.b.382.1	yes	112	143.96	even	20	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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.50252 + 0.396361i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(4.20341 - 1.36577i) q^{4} +(-1.89481 - 0.300108i) q^{5} +(0.396361 - 2.50252i) q^{6} +(0.290317 - 0.569780i) q^{7} +(-5.46267 + 2.78337i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(-2.50252 + 0.396361i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(4.20341 - 1.36577i) q^{4} +(-1.89481 - 0.300108i) q^{5} +(0.396361 - 2.50252i) q^{6} +(0.290317 - 0.569780i) q^{7} +(-5.46267 + 2.78337i) q^{8} +(-0.809017 - 0.587785i) q^{9} +4.86076 q^{10} +(-0.324703 + 3.30069i) q^{11} +4.41972i q^{12} +(-0.290131 - 3.59386i) q^{13} +(-0.500688 + 1.54096i) q^{14} +(0.870948 - 1.70933i) q^{15} +(5.41597 - 3.93493i) q^{16} +(4.29189 - 3.11824i) q^{17} +(2.25756 + 1.15028i) q^{18} +(0.458975 + 0.900788i) q^{19} +(-8.37454 + 1.32640i) q^{20} +(0.452180 + 0.452180i) q^{21} +(-0.495688 - 8.38876i) q^{22} -2.73671i q^{23} +(-0.959083 - 6.05541i) q^{24} +(-1.25504 - 0.407788i) q^{25} +(2.15052 + 8.87872i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.442134 - 2.79152i) q^{28} +(4.40660 - 1.43179i) q^{29} +(-1.50206 + 4.62285i) q^{30} +(1.33754 + 8.44487i) q^{31} +(-3.32354 + 3.32354i) q^{32} +(-3.03881 - 1.32878i) q^{33} +(-9.50460 + 9.50460i) q^{34} +(-0.721092 + 0.992498i) q^{35} +(-4.20341 - 1.36577i) q^{36} +(4.37690 + 2.23014i) q^{37} +(-1.50563 - 2.07232i) q^{38} +(3.50762 + 0.834632i) q^{39} +(11.1860 - 3.63456i) q^{40} +(-1.97153 - 3.86935i) q^{41} +(-1.31082 - 0.952365i) q^{42} +10.8310 q^{43} +(3.14313 + 14.3176i) q^{44} +(1.35653 + 1.35653i) q^{45} +(1.08472 + 6.84868i) q^{46} +(2.66698 + 5.23425i) q^{47} +(2.06872 + 6.36686i) q^{48} +(3.87413 + 5.33228i) q^{49} +(3.30241 + 0.523050i) q^{50} +(1.63935 + 5.04541i) q^{51} +(-6.12792 - 14.7102i) q^{52} +(6.40707 + 4.65501i) q^{53} +(-1.79161 + 1.79161i) q^{54} +(1.60582 - 6.15674i) q^{55} +3.92058i q^{56} +(-0.998532 + 0.158152i) q^{57} +(-10.4601 + 5.32970i) q^{58} +(2.06068 + 1.04997i) q^{59} +(1.32640 - 8.37454i) q^{60} +(5.93708 + 8.17169i) q^{61} +(-6.69443 - 20.6033i) q^{62} +(-0.569780 + 0.290317i) q^{63} +(-0.869942 + 1.19737i) q^{64} +(-0.528804 + 6.89675i) q^{65} +(8.13136 + 2.12084i) q^{66} +(-5.57919 - 5.57919i) q^{67} +(13.7817 - 18.9689i) q^{68} +(2.60277 + 0.845690i) q^{69} +(1.41116 - 2.76956i) q^{70} +(3.89243 + 0.616500i) q^{71} +(6.05541 + 0.959083i) q^{72} +(3.45611 - 6.78300i) q^{73} +(-11.8372 - 3.84615i) q^{74} +(0.775659 - 1.06760i) q^{75} +(3.15953 + 3.15953i) q^{76} +(1.78640 + 1.14326i) q^{77} +(-9.10871 - 0.698404i) q^{78} +(-2.79028 + 3.84049i) q^{79} +(-11.4431 + 5.83057i) q^{80} +(0.309017 + 0.951057i) q^{81} +(6.46746 + 8.90170i) q^{82} +(0.289576 - 1.82831i) q^{83} +(2.51827 + 1.28312i) q^{84} +(-9.06812 + 4.62044i) q^{85} +(-27.1048 + 4.29298i) q^{86} +4.63338i q^{87} +(-7.41330 - 18.9344i) q^{88} +(4.38950 - 4.38950i) q^{89} +(-3.93243 - 2.85708i) q^{90} +(-2.13194 - 0.878049i) q^{91} +(-3.73772 - 11.5035i) q^{92} +(-8.44487 - 1.33754i) q^{93} +(-8.74884 - 12.0417i) q^{94} +(-0.599335 - 1.84456i) q^{95} +(-2.13385 - 4.18791i) q^{96} +(-2.46329 - 15.5526i) q^{97} +(-11.8086 - 11.8086i) q^{98} +(2.20279 - 2.47946i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

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