LMFDB - Embedded newform 170.2.o.a.7.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(3,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 1]))

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

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

chi := DirichletCharacter("170.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.o (of order $16$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			7.3
Character	$\chi$	$=$	170.7
Dual form			170.2.o.a.73.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.923880 + 0.382683i) q^{2} +(0.268393 + 1.34931i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.19088 + 0.447284i) q^{5} +(-0.764320 - 1.14389i) q^{6} +(-3.27846 + 2.19060i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(1.02305 - 0.423761i) q^{9} +O(q^{10})$	\(q+(-0.923880 + 0.382683i) q^{2} +(0.268393 + 1.34931i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.19088 + 0.447284i) q^{5} +(-0.764320 - 1.14389i) q^{6} +(-3.27846 + 2.19060i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(1.02305 - 0.423761i) q^{9} +(1.85294 - 1.25165i) q^{10} +(-2.71014 + 1.81086i) q^{11} +(1.14389 + 0.764320i) q^{12} -0.945005i q^{13} +(2.19060 - 3.27846i) q^{14} +(-1.19154 - 2.83611i) q^{15} -1.00000i q^{16} +(-0.687932 + 4.06531i) q^{17} +(-0.783008 + 0.783008i) q^{18} +(0.759619 + 0.314645i) q^{19} +(-1.23291 + 1.86546i) q^{20} +(-3.83571 - 3.83571i) q^{21} +(1.81086 - 2.71014i) q^{22} +(-4.37386 - 0.870015i) q^{23} +(-1.34931 - 0.268393i) q^{24} +(4.59987 - 1.95989i) q^{25} +(0.361638 + 0.873070i) q^{26} +(3.13932 + 4.69833i) q^{27} +(-0.769236 + 3.86721i) q^{28} +(1.15414 + 5.80226i) q^{29} +(2.18617 + 2.16424i) q^{30} +(0.323089 + 0.215881i) q^{31} +(0.382683 + 0.923880i) q^{32} +(-3.17078 - 3.17078i) q^{33} +(-0.920161 - 4.01912i) q^{34} +(6.20289 - 6.26573i) q^{35} +(0.423761 - 1.02305i) q^{36} +(9.18058 - 1.82613i) q^{37} -0.822206 q^{38} +(1.27510 - 0.253633i) q^{39} +(0.425176 - 2.19527i) q^{40} +(0.470091 - 2.36331i) q^{41} +(5.01159 + 2.07587i) q^{42} +(10.2978 + 4.26550i) q^{43} +(-0.635888 + 3.19682i) q^{44} +(-2.05183 + 1.38600i) q^{45} +(4.37386 - 0.870015i) q^{46} -1.22865 q^{47} +(1.34931 - 0.268393i) q^{48} +(3.27081 - 7.89644i) q^{49} +(-3.49971 + 3.57099i) q^{50} +(-5.66998 + 0.162873i) q^{51} +(-0.668219 - 0.668219i) q^{52} +(-2.28776 - 5.52315i) q^{53} +(-4.69833 - 3.13932i) q^{54} +(5.12761 - 5.17956i) q^{55} +(-0.769236 - 3.86721i) q^{56} +(-0.220675 + 1.10941i) q^{57} +(-3.28672 - 4.91892i) q^{58} +(3.75030 + 9.05402i) q^{59} +(-2.84798 - 1.16289i) q^{60} +(-7.69939 - 1.53150i) q^{61} +(-0.381110 - 0.0758074i) q^{62} +(-2.42574 + 3.63038i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(0.422685 + 2.07039i) q^{65} +(4.14282 + 1.71601i) q^{66} +(-10.4319 + 10.4319i) q^{67} +(2.38817 + 3.36105i) q^{68} -6.13518i q^{69} +(-3.33293 + 8.16253i) q^{70} +(2.98532 - 4.46784i) q^{71} +1.10734i q^{72} +(1.95869 + 1.30876i) q^{73} +(-7.78292 + 5.20038i) q^{74} +(3.87906 + 5.68061i) q^{75} +(0.759619 - 0.314645i) q^{76} +(4.91822 - 11.8736i) q^{77} +(-1.08098 + 0.722286i) q^{78} +(1.11252 + 1.66501i) q^{79} +(0.447284 + 2.19088i) q^{80} +(-3.14788 + 3.14788i) q^{81} +(0.470091 + 2.36331i) q^{82} +(-12.5265 + 5.18863i) q^{83} -5.42451 q^{84} +(-0.311174 - 9.21429i) q^{85} -11.1463 q^{86} +(-7.51925 + 3.11458i) q^{87} +(-0.635888 - 3.19682i) q^{88} +(2.30511 - 2.30511i) q^{89} +(1.36525 - 2.06570i) q^{90} +(2.07013 + 3.09816i) q^{91} +(-3.70798 + 2.47759i) q^{92} +(-0.204575 + 0.493887i) q^{93} +(1.13512 - 0.470182i) q^{94} +(-1.80497 - 0.349582i) q^{95} +(-1.14389 + 0.764320i) q^{96} +(-9.98989 - 6.67503i) q^{97} +8.54705i q^{98} +(-2.00523 + 3.00104i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q+O(q^{10}) $ 32 * q	$ 32 q + 8 q^{10} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) $ 32 * q + 8 * q^10 - 40 * q^15 + 16 * q^18 + 8 * q^20 - 8 * q^25 + 8 * q^26 - 72 * q^27 + 8 * q^28 + 8 * q^29 - 16 * q^31 - 64 * q^33 - 24 * q^34 + 32 * q^35 + 16 * q^37 + 32 * q^39 - 8 * q^40 + 16 * q^41 - 40 * q^42 + 48 * q^43 + 16 * q^44 + 24 * q^45 - 64 * q^47 + 16 * q^49 + 32 * q^50 + 32 * q^51 - 16 * q^52 - 24 * q^54 + 8 * q^55 + 8 * q^56 - 8 * q^57 - 16 * q^58 + 64 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 24 * q^63 - 16 * q^65 - 16 * q^67 - 16 * q^68 + 24 * q^70 + 8 * q^71 + 16 * q^73 - 8 * q^74 - 8 * q^75 + 40 * q^77 + 48 * q^78 - 72 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 - 8 * q^85 - 64 * q^86 + 24 * q^87 + 16 * q^88 - 16 * q^89 + 48 * q^90 + 48 * q^91 + 8 * q^92 + 8 * q^93 - 8 * q^94 + 40 * q^95 + 16 * q^97 + 64 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.923880	+	0.382683i	−0.653281	+	0.270598i
$2$	−0.923880	+	0.382683i	−0.653281	+	0.270598i
$3$	0.268393	+	1.34931i	0.154957	+	0.779022i	0.977601	+	0.210465i	$0.0674979\pi$
$3$	0.268393	+	1.34931i	0.154957	+	0.779022i	−0.822644	+	0.568556i	$0.807502\pi$
$4$	0.707107	−	0.707107i	0.353553	−	0.353553i
$5$	−2.19088	+	0.447284i	−0.979790	+	0.200031i
$5$	−2.19088	+	0.447284i	−0.979790	+	0.200031i
$6$	−0.764320	−	1.14389i	−0.312032	−	0.466989i
$7$	−3.27846	+	2.19060i	−1.23914	+	0.827969i	−0.990078	−	0.140518i	$-0.955123\pi$
$7$	−3.27846	+	2.19060i	−1.23914	+	0.827969i	−0.249065	+	0.968487i	$0.580123\pi$
$8$	−0.382683	+	0.923880i	−0.135299	+	0.326641i
$9$	1.02305	−	0.423761i	0.341016	−	0.141254i
$10$	1.85294	−	1.25165i	0.585950	−	0.395806i
$11$	−2.71014	+	1.81086i	−0.817137	+	0.545993i	−0.892439	−	0.451167i	$-0.851008\pi$
$11$	−2.71014	+	1.81086i	−0.817137	+	0.545993i	0.0753025	+	0.997161i	$0.476008\pi$
$12$	1.14389	+	0.764320i	0.330211	+	0.220640i
$13$		−	0.945005i		−	0.262097i	−0.991376	−	0.131049i	$-0.958166\pi$
$13$		−	0.945005i		−	0.262097i	0.991376	−	0.131049i	$-0.0418344\pi$
$14$	2.19060	−	3.27846i	0.585462	−	0.876206i
$15$	−1.19154	−	2.83611i	−0.307654	−	0.732281i
$16$		−	1.00000i		−	0.250000i
$17$	−0.687932	+	4.06531i	−0.166848	+	0.985983i
$17$	−0.687932	+	4.06531i	−0.166848	+	0.985983i
$18$	−0.783008	+	0.783008i	−0.184557	+	0.184557i
$19$	0.759619	+	0.314645i	0.174269	+	0.0721844i	0.468112	−	0.883669i	$-0.344934\pi$
$19$	0.759619	+	0.314645i	0.174269	+	0.0721844i	−0.293843	+	0.955854i	$0.594934\pi$
$20$	−1.23291	+	1.86546i	−0.275686	+	0.417130i
$21$	−3.83571	−	3.83571i	−0.837019	−	0.837019i
$22$	1.81086	−	2.71014i	0.386076	−	0.577803i
$23$	−4.37386	−	0.870015i	−0.912013	−	0.181411i	−0.283285	−	0.959036i	$-0.591424\pi$
$23$	−4.37386	−	0.870015i	−0.912013	−	0.181411i	−0.628728	+	0.777625i	$0.716424\pi$
$24$	−1.34931	−	0.268393i	−0.275426	−	0.0547856i
$25$	4.59987	−	1.95989i	0.919975	−	0.391977i
$26$	0.361638	+	0.873070i	0.0709230	+	0.171223i
$27$	3.13932	+	4.69833i	0.604163	+	0.904194i
$28$	−0.769236	+	3.86721i	−0.145372	+	0.730834i
$29$	1.15414	+	5.80226i	0.214319	+	1.07745i	0.926741	+	0.375701i	$0.122598\pi$
$29$	1.15414	+	5.80226i	0.214319	+	1.07745i	−0.712422	+	0.701751i	$0.752402\pi$
$30$	2.18617	+	2.16424i	0.399138	+	0.395135i
$31$	0.323089	+	0.215881i	0.0580285	+	0.0387734i	0.584246	−	0.811577i	$-0.301390\pi$
$31$	0.323089	+	0.215881i	0.0580285	+	0.0387734i	−0.526218	+	0.850350i	$0.676390\pi$
$32$	0.382683	+	0.923880i	0.0676495	+	0.163320i
$33$	−3.17078	−	3.17078i	−0.551962	−	0.551962i
$34$	−0.920161	−	4.01912i	−0.157806	−	0.689273i
$35$	6.20289	−	6.26573i	1.04848	−	1.05910i
$36$	0.423761	−	1.02305i	0.0706268	−	0.170508i
$37$	9.18058	−	1.82613i	1.50928	−	0.300214i	0.630028	−	0.776573i	$-0.283044\pi$
$37$	9.18058	−	1.82613i	1.50928	−	0.300214i	0.879251	+	0.476359i	$0.158044\pi$
$38$	−0.822206			−0.133379
$39$	1.27510	−	0.253633i	0.204179	−	0.0406138i
$40$	0.425176	−	2.19527i	0.0672262	−	0.347103i
$41$	0.470091	−	2.36331i	0.0734159	−	0.369087i	−0.926559	−	0.376149i	$-0.877248\pi$
$41$	0.470091	−	2.36331i	0.0734159	−	0.369087i	0.999975	+	0.00706230i	$0.00224802\pi$
$42$	5.01159	+	2.07587i	0.773305	+	0.320313i
$43$	10.2978	+	4.26550i	1.57040	+	0.650483i	0.986857	−	0.161596i	$-0.0516642\pi$
$43$	10.2978	+	4.26550i	1.57040	+	0.650483i	0.583548	+	0.812079i	$0.301664\pi$
$44$	−0.635888	+	3.19682i	−0.0958637	+	0.481939i
$45$	−2.05183	+	1.38600i	−0.305869	+	0.206613i
$46$	4.37386	−	0.870015i	0.644890	−	0.128277i
$47$	−1.22865			−0.179216			−0.0896082	−	0.995977i	$-0.528561\pi$
$47$	−1.22865			−0.179216			−0.0896082	+	0.995977i	$0.528561\pi$
$48$	1.34931	−	0.268393i	0.194755	−	0.0387393i
$49$	3.27081	−	7.89644i	0.467259	−	1.12806i
$50$	−3.49971	+	3.57099i	−0.494934	+	0.505015i
$51$	−5.66998	+	0.162873i	−0.793956	+	0.0228068i
$52$	−0.668219	−	0.668219i	−0.0926653	−	0.0926653i
$53$	−2.28776	−	5.52315i	−0.314248	−	0.758662i	−0.999538	−	0.0303920i	$-0.990324\pi$
$53$	−2.28776	−	5.52315i	−0.314248	−	0.758662i	0.685290	−	0.728271i	$-0.259676\pi$
$54$	−4.69833	−	3.13932i	−0.639361	−	0.427208i
$55$	5.12761	−	5.17956i	0.691406	−	0.698412i
$56$	−0.769236	−	3.86721i	−0.102794	−	0.516778i
$57$	−0.220675	+	1.10941i	−0.0292291	+	0.146945i
$58$	−3.28672	−	4.91892i	−0.431567	−	0.645886i
$59$	3.75030	+	9.05402i	0.488247	+	1.17873i	0.955601	+	0.294662i	$0.0952072\pi$
$59$	3.75030	+	9.05402i	0.488247	+	1.17873i	−0.467354	+	0.884070i	$0.654793\pi$
$60$	−2.84798	−	1.16289i	−0.367673	−	0.150128i
$61$	−7.69939	−	1.53150i	−0.985806	−	0.196089i	−0.324239	−	0.945975i	$-0.605108\pi$
$61$	−7.69939	−	1.53150i	−0.985806	−	0.196089i	−0.661567	+	0.749886i	$0.730108\pi$
$62$	−0.381110	−	0.0758074i	−0.0484010	−	0.00962755i
$63$	−2.42574	+	3.63038i	−0.305614	+	0.457384i
$64$	−0.707107	−	0.707107i	−0.0883883	−	0.0883883i
$65$	0.422685	+	2.07039i	0.0524276	+	0.256800i
$66$	4.14282	+	1.71601i	0.509946	+	0.211227i
$67$	−10.4319	+	10.4319i	−1.27446	+	1.27446i	−0.330736	+	0.943723i	$0.607297\pi$
$67$	−10.4319	+	10.4319i	−1.27446	+	1.27446i	−0.943723	+	0.330736i	$0.892703\pi$
$68$	2.38817	+	3.36105i	0.289608	+	0.407587i
$69$		−	6.13518i		−	0.738588i
$70$	−3.33293	+	8.16253i	−0.398361	+	0.975608i
$71$	2.98532	−	4.46784i	0.354292	−	0.530235i	−0.610924	−	0.791689i	$-0.709202\pi$
$71$	2.98532	−	4.46784i	0.354292	−	0.530235i	0.965216	+	0.261454i	$0.0842019\pi$
$72$			1.10734i			0.130501i
$73$	1.95869	+	1.30876i	0.229247	+	0.153178i	0.664889	−	0.746942i	$-0.268479\pi$
$73$	1.95869	+	1.30876i	0.229247	+	0.153178i	−0.435642	+	0.900120i	$0.643479\pi$
$74$	−7.78292	+	5.20038i	−0.904746	+	0.604532i
$75$	3.87906	+	5.68061i	0.447915	+	0.655941i
$76$	0.759619	−	0.314645i	0.0871343	−	0.0360922i
$77$	4.91822	−	11.8736i	0.560484	−	1.35313i
$78$	−1.08098	+	0.722286i	−0.122397	+	0.0817828i
$79$	1.11252	+	1.66501i	0.125169	+	0.187328i	0.888761	−	0.458370i	$-0.151567\pi$
$79$	1.11252	+	1.66501i	0.125169	+	0.187328i	−0.763593	+	0.645698i	$0.776567\pi$
$80$	0.447284	+	2.19088i	0.0500078	+	0.244947i
$81$	−3.14788	+	3.14788i	−0.349765	+	0.349765i
$82$	0.470091	+	2.36331i	0.0519129	+	0.260984i
$83$	−12.5265	+	5.18863i	−1.37496	+	0.569526i	−0.943128	−	0.332429i	$-0.892132\pi$
$83$	−12.5265	+	5.18863i	−1.37496	+	0.569526i	−0.431830	+	0.901955i	$0.642132\pi$
$84$	−5.42451			−0.591862
$85$	−0.311174	−	9.21429i	−0.0337515	−	0.999430i
$86$	−11.1463			−1.20194
$87$	−7.51925	+	3.11458i	−0.806149	+	0.333918i
$88$	−0.635888	−	3.19682i	−0.0677859	−	0.340783i
$89$	2.30511	−	2.30511i	0.244341	−	0.244341i	−0.574302	−	0.818643i	$-0.694727\pi$
$89$	2.30511	−	2.30511i	0.244341	−	0.244341i	0.818643	+	0.574302i	$0.194727\pi$
$90$	1.36525	−	2.06570i	0.143910	−	0.217744i
$91$	2.07013	+	3.09816i	0.217008	+	0.324776i
$92$	−3.70798	+	2.47759i	−0.386583	+	0.258307i
$93$	−0.204575	+	0.493887i	−0.0212134	+	0.0512137i
$94$	1.13512	−	0.470182i	0.117079	−	0.0484956i
$95$	−1.80497	−	0.349582i	−0.185186	−	0.0358664i
$96$	−1.14389	+	0.764320i	−0.116747	+	0.0780081i
$97$	−9.98989	−	6.67503i	−1.01432	−	0.677747i	−0.0669066	−	0.997759i	$-0.521313\pi$
$97$	−9.98989	−	6.67503i	−1.01432	−	0.677747i	−0.947413	+	0.320012i	$0.896313\pi$
$98$			8.54705i			0.863382i
$99$	−2.00523	+	3.00104i	−0.201534	+	0.301616i
$100$	1.86675	−	4.63845i	0.186675	−	0.463845i
$101$			18.2474i			1.81568i	0.419314	+	0.907841i	$0.362271\pi$
$101$			18.2474i			1.81568i	−0.419314	+	0.907841i	$0.637729\pi$
$102$	5.17605	−	2.32028i	0.512505	−	0.229742i
$103$	2.89872	−	2.89872i	0.285619	−	0.285619i	−0.549726	−	0.835345i	$-0.685268\pi$
$103$	2.89872	−	2.89872i	0.285619	−	0.285619i	0.835345	+	0.549726i	$0.185268\pi$
$104$	0.873070	+	0.361638i	0.0856116	+	0.0354615i
$105$	10.1192	+	6.68791i	0.987533	+	0.652673i
$106$	4.22723	+	4.22723i	0.410585	+	0.410585i
$107$	9.12791	−	13.6609i	0.882429	−	1.32065i	−0.0640716	−	0.997945i	$-0.520409\pi$
$107$	9.12791	−	13.6609i	0.882429	−	1.32065i	0.946500	−	0.322703i	$-0.104591\pi$
$108$	5.54206	+	1.10238i	0.533285	+	0.106077i
$109$	−14.2880	−	2.84207i	−1.36855	−	0.272221i	−0.544508	−	0.838755i	$-0.683284\pi$
$109$	−14.2880	−	2.84207i	−1.36855	−	0.272221i	−0.824038	+	0.566535i	$0.808284\pi$
$110$	−2.75516	+	6.74754i	−0.262694	+	0.643353i
$111$	4.92802	+	11.8973i	0.467747	+	1.12924i
$112$	2.19060	+	3.27846i	0.206992	+	0.309786i
$113$	3.94115	−	19.8135i	0.370752	−	1.86390i	−0.120256	−	0.992743i	$-0.538372\pi$
$113$	3.94115	−	19.8135i	0.370752	−	1.86390i	0.491008	−	0.871155i	$-0.336628\pi$
$114$	−0.220675	−	1.10941i	−0.0206681	−	0.103905i
$115$	9.97172	−	0.0502611i	0.929868	−	0.00468687i
$116$	4.91892	+	3.28672i	0.456710	+	0.305164i
$117$	−0.400456	−	0.966786i	−0.0370222	−	0.0893794i
$118$	−6.92964	−	6.92964i	−0.637925	−	0.637925i
$119$	−6.65011	−	14.8350i	−0.609614	−	1.35992i
$120$	3.07621	−	0.0155052i	0.280818	−	0.00141542i
$121$	−0.143875	+	0.347346i	−0.0130796	+	0.0315769i
$122$	7.69939	−	1.53150i	0.697070	−	0.138656i
$123$	3.31499			0.298903
$124$	0.381110	−	0.0758074i	0.0342247	−	0.00680771i
$125$	−9.20113	+	6.35131i	−0.822974	+	0.568079i
$126$	0.851806	−	4.28232i	0.0758849	−	0.381499i
$127$	−8.49957	−	3.52064i	−0.754214	−	0.312406i	−0.0277546	−	0.999615i	$-0.508836\pi$
$127$	−8.49957	−	3.52064i	−0.754214	−	0.312406i	−0.726460	+	0.687209i	$0.758836\pi$
$128$	0.923880	+	0.382683i	0.0816602	+	0.0338248i
$129$	−2.99159	+	15.0397i	−0.263395	+	1.32418i
$130$	−1.18281	−	1.75103i	−0.103740	−	0.153576i
$131$	11.0335	−	2.19470i	0.964001	−	0.191752i	0.312094	−	0.950051i	$-0.398970\pi$
$131$	11.0335	−	2.19470i	0.964001	−	0.191752i	0.651906	+	0.758300i	$0.273970\pi$
$132$	−4.48416			−0.390296
$133$	−3.17964	+	0.632471i	−0.275710	+	0.0548422i
$134$	5.64570	−	13.6299i	0.487715	−	1.17745i
$135$	−8.97935	−	8.88929i	−0.772819	−	0.765068i
$136$	−3.49260	−	2.19129i	−0.299488	−	0.187902i
$137$	−2.31819	−	2.31819i	−0.198056	−	0.198056i	0.601110	−	0.799166i	$-0.294725\pi$
$137$	−2.31819	−	2.31819i	−0.198056	−	0.198056i	−0.799166	+	0.601110i	$0.794725\pi$
$138$	2.34783	+	5.66816i	0.199861	+	0.482506i
$139$	11.1813	+	7.47113i	0.948388	+	0.633693i	0.930556	−	0.366148i	$-0.119324\pi$
$139$	11.1813	+	7.47113i	0.948388	+	0.633693i	0.0178315	+	0.999841i	$0.494324\pi$
$140$	−0.0444391	−	8.81665i	−0.00375579	−	0.745143i
$141$	−0.329761	−	1.65782i	−0.0277709	−	0.139614i
$142$	−1.04830	+	5.27018i	−0.0879717	+	0.442264i
$143$	1.71127	+	2.56109i	0.143103	+	0.214169i
$144$	−0.423761	−	1.02305i	−0.0353134	−	0.0852541i
$145$	−5.12384	−	12.1958i	−0.425511	−	1.01281i
$146$	−2.31043	−	0.459574i	−0.191213	−	0.0380346i
$147$	11.5326	+	2.29397i	0.951191	+	0.189204i
$148$	5.20038	−	7.78292i	0.427469	−	0.639752i
$149$	14.7842	+	14.7842i	1.21117	+	1.21117i	0.970642	+	0.240529i	$0.0773209\pi$
$149$	14.7842	+	14.7842i	1.21117	+	1.21117i	0.240529	+	0.970642i	$0.422679\pi$
$150$	−5.75766	−	3.76375i	−0.470111	−	0.307309i
$151$	−2.05755	−	0.852263i	−0.167441	−	0.0693562i	0.297389	−	0.954757i	$-0.403884\pi$
$151$	−2.05755	−	0.852263i	−0.167441	−	0.0693562i	−0.464829	+	0.885400i	$0.653884\pi$
$152$	−0.581388	+	0.581388i	−0.0471568	+	0.0471568i
$153$	1.01893	+	4.45053i	0.0823757	+	0.359804i
$154$			12.8519i			1.03564i
$155$	−0.804409	−	0.328457i	−0.0646117	−	0.0263823i
$156$	0.722286	−	1.08098i	0.0578292	−	0.0865474i
$157$			6.28945i			0.501953i	0.967993	+	0.250977i	$0.0807517\pi$
$157$			6.28945i			0.501953i	−0.967993	+	0.250977i	$0.919248\pi$
$158$	−1.66501	−	1.11252i	−0.132461	−	0.0885075i
$159$	6.83839	−	4.56927i	0.542320	−	0.362366i
$160$	−1.25165	−	1.85294i	−0.0989515	−	0.146488i
$161$	16.2454	−	6.72906i	1.28032	−	0.530324i
$162$	1.70362	−	4.11290i	0.133849	−	0.323140i
$163$	−6.08604	+	4.06656i	−0.476695	+	0.318518i	−0.770602	−	0.637316i	$-0.780044\pi$
$163$	−6.08604	+	4.06656i	−0.476695	+	0.318518i	0.293907	+	0.955834i	$0.405044\pi$
$164$	−1.33871	−	2.00352i	−0.104535	−	0.156448i
$165$	8.36502	+	5.52855i	0.651216	+	0.430397i
$166$	9.58734	−	9.58734i	0.744122	−	0.744122i
$167$	−1.11872	−	5.62419i	−0.0865692	−	0.435213i	−0.999625	−	0.0273785i	$-0.991284\pi$
$167$	−1.11872	−	5.62419i	−0.0865692	−	0.435213i	0.913056	−	0.407834i	$-0.133716\pi$
$168$	5.01159	−	2.07587i	0.386653	−	0.160157i
$169$	12.1070			0.931305
$170$	3.81364	+	8.39381i	0.292493	+	0.643776i
$171$	0.910462			0.0696248
$172$	10.2978	−	4.26550i	0.785202	−	0.325241i
$173$	2.48802	+	12.5081i	0.189160	+	0.950974i	0.952398	+	0.304856i	$0.0986084\pi$
$173$	2.48802	+	12.5081i	0.189160	+	0.950974i	−0.763238	+	0.646117i	$0.776392\pi$
$174$	5.75499	−	5.75499i	0.436285	−	0.436285i
$175$	−10.7872	+	16.5019i	−0.815436	+	1.24743i
$176$	1.81086	+	2.71014i	0.136498	+	0.204284i
$177$	−11.2101	+	7.49033i	−0.842601	+	0.563008i
$178$	−1.24751	+	3.01177i	−0.0935052	+	0.225741i
$179$	−1.30787	+	0.541736i	−0.0977545	+	0.0404912i	−0.431025	−	0.902340i	$-0.641848\pi$
$179$	−1.30787	+	0.541736i	−0.0977545	+	0.0404912i	0.333270	+	0.942831i	$0.391848\pi$
$180$	−0.470814	+	2.43092i	−0.0350924	+	0.181190i
$181$	2.71424	−	1.81360i	0.201748	−	0.134804i	−0.450593	−	0.892730i	$-0.648787\pi$
$181$	2.71424	−	1.81360i	0.201748	−	0.134804i	0.652340	+	0.757926i	$0.273787\pi$
$182$	−3.09816	−	2.07013i	−0.229651	−	0.153448i
$183$		−	10.7999i		−	0.798350i
$184$	2.47759	−	3.70798i	0.182650	−	0.273356i
$185$	−19.2967	+	8.10715i	−1.41872	+	0.596050i
$186$		−	0.534580i		−	0.0391973i
$187$	−5.49730	−	12.2633i	−0.402002	−	0.896781i
$188$	−0.868784	+	0.868784i	−0.0633626	+	0.0633626i
$189$	−20.5843	−	8.52630i	−1.49729	−	0.620197i
$190$	1.80135	−	0.367759i	0.130684	−	0.0266801i
$191$	1.31897	+	1.31897i	0.0954376	+	0.0954376i	0.753214	−	0.657776i	$-0.228503\pi$
$191$	1.31897	+	1.31897i	0.0954376	+	0.0954376i	−0.657776	+	0.753214i	$0.728503\pi$
$192$	0.764320	−	1.14389i	0.0551600	−	0.0825528i
$193$	25.2783	+	5.02816i	1.81957	+	0.361935i	0.982662	−	0.185407i	$-0.0593604\pi$
$193$	25.2783	+	5.02816i	1.81957	+	0.361935i	0.836909	+	0.547342i	$0.184360\pi$
$194$	11.7839	+	2.34396i	0.846033	+	0.168287i
$195$	−2.68014	+	1.12601i	−0.191929	+	0.0806352i
$196$	−3.27081	−	7.89644i	−0.233630	−	0.564032i
$197$	5.49293	+	8.22075i	0.391355	+	0.585704i	0.973867	−	0.227118i	$-0.0729302\pi$
$197$	5.49293	+	8.22075i	0.391355	+	0.585704i	−0.582512	+	0.812822i	$0.697930\pi$
$198$	0.704144	−	3.53997i	0.0500414	−	0.251575i
$199$	4.54368	+	22.8426i	0.322093	+	1.61927i	0.714607	+	0.699526i	$0.246605\pi$
$199$	4.54368	+	22.8426i	0.322093	+	1.61927i	−0.392514	+	0.919746i	$0.628395\pi$
$200$	0.0504023	+	4.99975i	0.00356398	+	0.353535i
$201$	−16.8757	−	11.2760i	−1.19032	−	0.795345i
$202$	−6.98297	−	16.8584i	−0.491320	−	1.18615i
$203$	−16.4942	−	16.4942i	−1.15767	−	1.15767i
$204$	−3.89411	+	4.12445i	−0.272642	+	0.288769i
$205$	0.0271574	+	5.38798i	0.00189675	+	0.376313i
$206$	−1.56878	+	3.78736i	−0.109302	+	0.263878i
$207$	−4.84335	+	0.963402i	−0.336636	+	0.0669611i
$208$	−0.945005			−0.0655243
$209$	−2.62845	+	0.522831i	−0.181814	+	0.0361650i
$210$	−11.9083	−	2.30637i	−0.821749	−	0.159155i
$211$	3.71408	−	18.6719i	0.255688	−	1.28543i	−0.613005	−	0.790079i	$-0.710040\pi$
$211$	3.71408	−	18.6719i	0.255688	−	1.28543i	0.868693	−	0.495351i	$-0.164960\pi$
$212$	−5.52315	−	2.28776i	−0.379331	−	0.157124i
$213$	6.82972	+	2.82896i	0.467965	+	0.193837i
$214$	−3.20530	+	16.1141i	−0.219110	+	1.10154i
$215$	−24.4692	−	4.73913i	−1.66878	−	0.323206i
$216$	−5.54206	+	1.10238i	−0.377089	+	0.0750077i
$217$	−1.53215			−0.104009
$218$	14.2880	−	2.84207i	0.967708	−	0.192489i
$219$	−1.24021	+	2.99413i	−0.0838056	+	0.202325i
$220$	−0.0367355	−	7.28827i	−0.00247670	−	0.491375i
$221$	3.84174	+	0.650099i	0.258423	+	0.0437304i
$222$	−9.10579	−	9.10579i	−0.611141	−	0.611141i
$223$	−2.14410	−	5.17632i	−0.143580	−	0.346632i	0.835687	−	0.549206i	$-0.185070\pi$
$223$	−2.14410	−	5.17632i	−0.143580	−	0.346632i	−0.979267	+	0.202573i	$0.935070\pi$
$224$	−3.27846	−	2.19060i	−0.219052	−	0.146366i
$225$	3.87538	−	3.95431i	0.258358	−	0.263620i
$226$	3.94115	+	19.8135i	0.262161	+	1.31797i
$227$	1.14923	−	5.77757i	0.0762771	−	0.383471i	−0.923723	−	0.383061i	$-0.874870\pi$
$227$	1.14923	−	5.77757i	0.0762771	−	0.383471i	1.00000		0.000409238i	$-0.000130265\pi$
$228$	0.628429	+	0.940510i	0.0416187	+	0.0622868i
$229$	−1.42493	−	3.44010i	−0.0941623	−	0.227328i	0.869780	−	0.493440i	$-0.164261\pi$
$229$	−1.42493	−	3.44010i	−0.0941623	−	0.227328i	−0.963942	+	0.266112i	$0.914261\pi$
$230$	−9.19344	+	3.86245i	−0.606197	+	0.254682i
$231$	17.3412	+	3.44938i	1.14097	+	0.226952i
$232$	−5.80226	−	1.15414i	−0.380937	−	0.0757731i
$233$	−0.597832	+	0.894719i	−0.0391653	+	0.0586150i	−0.850536	−	0.525918i	$-0.823722\pi$
$233$	−0.597832	+	0.894719i	−0.0391653	+	0.0586150i	0.811370	+	0.584532i	$0.198722\pi$
$234$	0.739946	+	0.739946i	0.0483718	+	0.0483718i
$235$	2.69181	−	0.549553i	0.175594	−	0.0358489i
$236$	9.05402	+	3.75030i	0.589366	+	0.244123i
$237$	−1.94801	+	1.94801i	−0.126537	+	0.126537i
$238$	11.8210	+	11.1608i	0.766241	+	0.723449i
$239$		−	19.4219i		−	1.25630i	−0.778092	−	0.628150i	$-0.783812\pi$
$239$		−	19.4219i		−	1.25630i	0.778092	−	0.628150i	$-0.216188\pi$
$240$	−2.83611	+	1.19154i	−0.183070	+	0.0769135i
$241$	−9.75657	+	14.6017i	−0.628476	+	0.940581i	0.371451	+	0.928453i	$0.378861\pi$
$241$	−9.75657	+	14.6017i	−0.628476	+	0.940581i	−0.999926	+	0.0121278i	$0.996139\pi$
$242$		−	0.375965i		−	0.0241679i
$243$	9.00266	+	6.01539i	0.577521	+	0.385887i
$244$	−6.52723	+	4.36135i	−0.417863	+	0.279207i
$245$	−3.63400	+	18.7631i	−0.232168	+	1.19873i
$246$	−3.06266	+	1.26859i	−0.195268	+	0.0808826i
$247$	0.297341	−	0.717844i	0.0189193	−	0.0456753i
$248$	−0.323089	+	0.215881i	−0.0205162	+	0.0137085i
$249$	−10.3631	−	15.5094i	−0.656733	−	0.982870i
$250$	6.07019	−	9.38897i	0.383913	−	0.593811i
$251$	−0.770832	+	0.770832i	−0.0486545	+	0.0486545i	−0.731015	−	0.682361i	$-0.760953\pi$
$251$	−0.770832	+	0.770832i	−0.0486545	+	0.0486545i	0.682361	+	0.731015i	$0.260953\pi$
$252$	0.851806	+	4.28232i	0.0536588	+	0.269761i
$253$	13.4292	−	5.56257i	0.844288	−	0.349716i
$254$	9.19986			0.577251
$255$	12.3494	−	2.89292i	0.773348	−	0.181162i
$256$	−1.00000			−0.0625000
$257$	8.52291	−	3.53031i	0.531645	−	0.220214i	−0.100679	−	0.994919i	$-0.532101\pi$
$257$	8.52291	−	3.53031i	0.531645	−	0.220214i	0.632323	+	0.774705i	$0.282101\pi$
$258$	−2.99159	−	15.0397i	−0.186248	−	0.936334i
$259$	−26.0979	+	26.0979i	−1.62164	+	1.62164i
$260$	1.76287	+	1.16510i	0.109328	+	0.0722565i
$261$	3.63951	+	5.44692i	0.225280	+	0.337156i
$262$	−9.35374	+	6.24997i	−0.577876	+	0.386124i
$263$	1.32381	−	3.19596i	0.0816296	−	0.197071i	−0.877795	−	0.479036i	$-0.840986\pi$
$263$	1.32381	−	3.19596i	0.0816296	−	0.197071i	0.959425	+	0.281965i	$0.0909862\pi$
$264$	4.14282	−	1.71601i	0.254973	−	0.105613i
$265$	7.48262	+	11.0773i	0.459653	+	0.680470i
$266$	2.69557	−	1.80112i	0.165276	−	0.110434i
$267$	3.72897	+	2.49162i	0.228209	+	0.152484i
$268$			14.7529i			0.901179i
$269$	10.3576	−	15.5012i	0.631513	−	0.945126i	−0.368368	−	0.929680i	$-0.620083\pi$
$269$	10.3576	−	15.5012i	0.631513	−	0.945126i	0.999881	−	0.0154457i	$-0.00491671\pi$
$270$	11.6976	+	4.77638i	0.711895	+	0.290681i
$271$			6.00978i			0.365068i	0.983200	+	0.182534i	$0.0584300\pi$
$271$			6.00978i			0.365068i	−0.983200	+	0.182534i	$0.941570\pi$
$272$	4.06531	+	0.687932i	0.246496	+	0.0417120i
$273$	−3.62476	+	3.62476i	−0.219380	+	0.219380i
$274$	3.02886	+	1.25459i	0.182980	+	0.0757928i
$275$	−8.91722	+	13.6413i	−0.537729	+	0.822599i
$276$	−4.33822	−	4.33822i	−0.261130	−	0.261130i
$277$	3.03964	−	4.54915i	0.182635	−	0.273332i	−0.728844	−	0.684680i	$-0.759942\pi$
$277$	3.03964	−	4.54915i	0.182635	−	0.273332i	0.911478	+	0.411348i	$0.134942\pi$
$278$	−13.1893	−	2.62351i	−0.791040	−	0.157348i
$279$	0.422018	+	0.0839447i	0.0252656	+	0.00502564i
$280$	3.41504	+	8.12851i	0.204088	+	0.485772i
$281$	−2.89114	−	6.97982i	−0.172471	−	0.416381i	0.813881	−	0.581031i	$-0.197351\pi$
$281$	−2.89114	−	6.97982i	−0.172471	−	0.416381i	−0.986352	+	0.164650i	$0.947351\pi$
$282$	0.939079	+	1.40543i	0.0559213	+	0.0836922i
$283$	−3.52244	+	17.7085i	−0.209387	+	1.05266i	0.722903	+	0.690949i	$0.242807\pi$
$283$	−3.52244	+	17.7085i	−0.209387	+	1.05266i	−0.932290	+	0.361711i	$0.882193\pi$
$284$	−1.04830	−	5.27018i	−0.0622054	−	0.312728i
$285$	−0.0127485	−	2.52928i	−0.000755154	−	0.149821i
$286$	−2.56109	−	1.71127i	−0.151441	−	0.101189i
$287$	3.63589	+	8.77780i	0.214620	+	0.518137i
$288$	0.783008	+	0.783008i	0.0461392	+	0.0461392i
$289$	−16.0535	−	5.59331i	−0.944324	−	0.329018i
$290$	9.40094	+	9.30664i	0.552042	+	0.546505i
$291$	6.32543	−	15.2709i	0.370804	−	0.895199i
$292$	2.31043	−	0.459574i	0.135208	−	0.0268945i
$293$	13.8670			0.810117			0.405058	−	0.914291i	$-0.367251\pi$
$293$	13.8670			0.810117			0.405058	+	0.914291i	$0.367251\pi$
$294$	−11.5326	+	2.29397i	−0.672593	+	0.133787i
$295$	−12.2661	−	18.1588i	−0.714163	−	1.05724i
$296$	−1.82613	+	9.18058i	−0.106142	+	0.533611i
$297$	−17.0160	−	7.04825i	−0.987367	−	0.408981i
$298$	−19.3165	−	8.00116i	−1.11898	−	0.463495i
$299$	−0.822168	+	4.13332i	−0.0475472	+	0.239036i
$300$	6.75971	+	1.27389i	0.390272	+	0.0735481i
$301$	−43.1051	+	8.57413i	−2.48453	+	0.494205i
$302$	2.22707			0.128154
$303$	−24.6213	+	4.89748i	−1.41446	+	0.281353i
$304$	0.314645	−	0.759619i	0.0180461	−	0.0435672i
$305$	17.5534	−	0.0884756i	1.00511	−	0.00506610i
$306$	−2.64451	−	3.72183i	−0.151177	−	0.212763i
$307$	−4.32686	−	4.32686i	−0.246947	−	0.246947i	0.572769	−	0.819717i	$-0.305869\pi$
$307$	−4.32686	−	4.32686i	−0.246947	−	0.246947i	−0.819717	+	0.572769i	$0.805869\pi$
$308$	−4.91822	−	11.8736i	−0.280242	−	0.676564i
$309$	4.68926	+	3.13326i	0.266762	+	0.178245i
$310$	0.868872	−	0.00437942i	0.0493486	−	0.000248735i
$311$	−2.44006	−	12.2670i	−0.138363	−	0.695597i	−0.986229	−	0.165387i	$-0.947113\pi$
$311$	−2.44006	−	12.2670i	−0.138363	−	0.695597i	0.847866	−	0.530211i	$-0.177887\pi$
$312$	−0.253633	+	1.27510i	−0.0143591	+	0.0721883i
$313$	7.83841	+	11.7310i	0.443053	+	0.663076i	0.984038	−	0.177956i	$-0.0569485\pi$
$313$	7.83841	+	11.7310i	0.443053	+	0.663076i	−0.540985	+	0.841032i	$0.681948\pi$
$314$	−2.40687	−	5.81070i	−0.135828	−	0.327917i
$315$	3.69069	−	9.03870i	0.207947	−	0.509273i
$316$	1.96401	+	0.390666i	0.110484	+	0.0219767i
$317$	20.5549	+	4.08862i	1.15448	+	0.229640i	0.734961	−	0.678109i	$-0.237200\pi$
$317$	20.5549	+	4.08862i	1.15448	+	0.229640i	0.419515	+	0.907749i	$0.362200\pi$
$318$	−4.56927	+	6.83839i	−0.256232	+	0.383478i
$319$	−13.6349	−	13.6349i	−0.763410	−	0.763410i
$320$	1.86546	+	1.23291i	0.104282	+	0.0689215i
$321$	20.8826	+	8.64985i	1.16555	+	0.482787i
$322$	−12.4337	+	12.4337i	−0.692902	+	0.692902i
$323$	−1.80169	+	2.87163i	−0.100249	+	0.159782i
$324$			4.45178i			0.247321i
$325$	−1.85210	−	4.34690i	−0.102736	−	0.241123i
$326$	4.06656	−	6.08604i	0.225226	−	0.337075i
$327$		−	20.0417i		−	1.10831i
$328$	2.00352	+	1.33871i	0.110626	+	0.0739177i
$329$	4.02807	−	2.69147i	0.222075	−	0.148386i
$330$	−9.84395	−	1.90656i	−0.541892	−	0.104952i
$331$	10.7768	−	4.46388i	0.592344	−	0.245357i	−0.0663146	−	0.997799i	$-0.521124\pi$
$331$	10.7768	−	4.46388i	0.592344	−	0.245357i	0.658659	+	0.752442i	$0.271124\pi$
$332$	−5.18863	+	12.5265i	−0.284763	+	0.687479i
$333$	8.61835	−	5.75860i	0.472282	−	0.315569i
$334$	3.18585	+	4.76796i	0.174322	+	0.260891i
$335$	18.1890	−	27.5210i	0.993770	−	1.50363i
$336$	−3.83571	+	3.83571i	−0.209255	+	0.209255i
$337$	5.89928	+	29.6577i	0.321354	+	1.61556i	0.716945	+	0.697130i	$0.245540\pi$
$337$	5.89928	+	29.6577i	0.321354	+	1.61556i	−0.395591	+	0.918427i	$0.629460\pi$
$338$	−11.1854	+	4.63314i	−0.608404	+	0.252009i
$339$	27.7922			1.50947
$340$	−6.73552	−	6.29546i	−0.365285	−	0.341419i
$341$	−1.26655			−0.0685873
$342$	−0.841157	+	0.348419i	−0.0454846	+	0.0188403i
$343$	1.19005	+	5.98276i	0.0642564	+	0.323039i
$344$	−7.88162	+	7.88162i	−0.424948	+	0.424948i
$345$	2.74416	+	13.4414i	0.147741	+	0.723661i
$346$	−7.08527	−	10.6039i	−0.380907	−	0.570067i
$347$	22.6029	−	15.1027i	1.21338	−	0.810758i	0.226789	−	0.973944i	$-0.427177\pi$
$347$	22.6029	−	15.1027i	1.21338	−	0.810758i	0.986595	+	0.163186i	$0.0521771\pi$
$348$	−3.11458	+	7.51925i	−0.166959	+	0.403074i
$349$	17.0986	−	7.08249i	0.915269	−	0.379117i	0.125198	−	0.992132i	$-0.460043\pi$
$349$	17.0986	−	7.08249i	0.915269	−	0.379117i	0.790071	+	0.613015i	$0.210043\pi$
$350$	3.65107	−	19.3738i	0.195158	−	1.03558i
$351$	4.43994	−	2.96667i	0.236987	−	0.158349i
$352$	−2.71014	−	1.81086i	−0.144451	−	0.0965189i
$353$		−	9.89740i		−	0.526786i	−0.964689	−	0.263393i	$-0.915158\pi$
$353$		−	9.89740i		−	0.526786i	0.964689	−	0.263393i	$-0.0848415\pi$
$354$	7.49033	−	11.2101i	0.398107	−	0.595809i
$355$	−4.54207	+	11.1238i	−0.241068	+	0.590389i
$356$		−	3.25991i		−	0.172775i
$357$	18.2320	−	12.9546i	0.964942	−	0.685632i
$358$	1.00100	−	1.00100i	0.0529044	−	0.0529044i
$359$	4.61002	+	1.90953i	0.243308	+	0.100781i	0.501005	−	0.865444i	$-0.332964\pi$
$359$	4.61002	+	1.90953i	0.243308	+	0.100781i	−0.257697	+	0.966226i	$0.582964\pi$
$360$	−0.495295	−	2.42605i	−0.0261044	−	0.127864i
$361$	−12.9570	−	12.9570i	−0.681948	−	0.681948i
$362$	−1.81360	+	2.71424i	−0.0953205	+	0.142657i
$363$	−0.507291	−	0.100906i	−0.0266259	−	0.00529622i
$364$	3.65453	+	0.726932i	0.191550	+	0.0381016i
$365$	−4.87663	−	1.99123i	−0.255255	−	0.104226i
$366$	4.13293	+	9.97778i	0.216032	+	0.521547i
$367$	−1.83585	−	2.74754i	−0.0958306	−	0.143421i	0.780456	−	0.625210i	$-0.214987\pi$
$367$	−1.83585	−	2.74754i	−0.0958306	−	0.143421i	−0.876287	+	0.481790i	$0.839987\pi$
$368$	−0.870015	+	4.37386i	−0.0453526	+	0.228003i
$369$	−0.520551	−	2.61699i	−0.0270988	−	0.136235i
$370$	14.7254	−	14.8746i	0.765536	−	0.773292i
$371$	19.5993	+	13.0959i	1.01755	+	0.679903i
$372$	0.204575	+	0.493887i	0.0106067	+	0.0256069i
$373$	−9.99497	−	9.99497i	−0.517520	−	0.517520i	0.399300	−	0.916820i	$-0.369253\pi$
$373$	−9.99497	−	9.99497i	−0.517520	−	0.517520i	−0.916820	+	0.399300i	$0.869253\pi$
$374$	9.77180	+	9.22608i	0.505288	+	0.477069i
$375$	−11.0394	−	10.7105i	−0.570071	−	0.553087i
$376$	0.470182	−	1.13512i	0.0242478	−	0.0585394i
$377$	5.48316	−	1.09067i	0.282397	−	0.0561723i
$378$	22.2803			1.14597
$379$	−4.04548	+	0.804697i	−0.207803	+	0.0413345i	−0.297894	−	0.954599i	$-0.596284\pi$
$379$	−4.04548	+	0.804697i	−0.207803	+	0.0413345i	0.0900913	+	0.995934i	$0.471284\pi$
$380$	−1.52350	+	1.02911i	−0.0781537	+	0.0527924i
$381$	2.46918	−	12.4134i	0.126500	−	0.635959i
$382$	−1.72332	−	0.713824i	−0.0881729	−	0.0365224i
$383$	4.06099	+	1.68212i	0.207507	+	0.0859522i	0.484016	−	0.875059i	$-0.339178\pi$
$383$	4.06099	+	1.68212i	0.207507	+	0.0859522i	−0.276509	+	0.961011i	$0.589178\pi$
$384$	−0.268393	+	1.34931i	−0.0136964	+	0.0688564i
$385$	−5.46433	+	28.2135i	−0.278488	+	1.43789i
$386$	−25.2783	+	5.02816i	−1.28663	+	0.255927i
$387$	12.3427			0.627417
$388$	−11.7839	+	2.34396i	−0.598236	+	0.118997i
$389$	0.471930	−	1.13934i	0.0239278	−	0.0577669i	−0.911464	−	0.411380i	$-0.865047\pi$
$389$	0.471930	−	1.13934i	0.0239278	−	0.0577669i	0.935392	+	0.353613i	$0.115047\pi$
$390$	2.04522	−	2.06594i	0.103564	−	0.104613i
$391$	6.54579	−	17.1826i	0.331035	−	0.868961i
$392$	6.04368	+	6.04368i	0.305252	+	0.305252i
$393$	5.92263	+	14.2985i	0.298757	+	0.721264i
$394$	−8.22075	−	5.49293i	−0.414156	−	0.276730i
$395$	−3.18213	−	3.15021i	−0.160110	−	0.158504i
$396$	0.704144	+	3.53997i	0.0353846	+	0.177890i
$397$	−2.65687	+	13.3570i	−0.133344	+	0.670367i	0.855061	+	0.518527i	$0.173520\pi$
$397$	−2.65687	+	13.3570i	−0.133344	+	0.670367i	−0.988405	+	0.151839i	$0.951480\pi$
$398$	−12.9393	−	19.3651i	−0.648589	−	0.970682i
$399$	−1.70679	−	4.12056i	−0.0854465	−	0.206286i
$400$	−1.95989	−	4.59987i	−0.0979943	−	0.229994i
$401$	−19.4025	−	3.85939i	−0.968912	−	0.192729i	−0.314827	−	0.949149i	$-0.601946\pi$
$401$	−19.4025	−	3.85939i	−0.968912	−	0.192729i	−0.654086	+	0.756421i	$0.726946\pi$
$402$	19.9062	+	3.95959i	0.992832	+	0.197486i
$403$	0.204009	−	0.305321i	0.0101624	−	0.0152091i
$404$	12.9028	+	12.9028i	0.641941	+	0.641941i
$405$	5.48862	−	8.30461i	0.272732	−	0.412659i
$406$	21.5508	+	8.92662i	1.06955	+	0.443020i
$407$	−21.5738	+	21.5738i	−1.06937	+	1.06937i
$408$	2.01933	−	5.30071i	0.0999719	−	0.262424i
$409$			22.6191i			1.11844i	0.829019	+	0.559221i	$0.188900\pi$
$409$			22.6191i			1.11844i	−0.829019	+	0.559221i	$0.811100\pi$
$410$	−2.08698	−	4.96745i	−0.103069	−	0.245325i
$411$	2.50576	−	3.75013i	0.123600	−	0.184980i
$412$		−	4.09941i		−	0.201963i
$413$	−32.1289	−	21.4679i	−1.58096	−	1.05636i
$414$	4.10599	−	2.74354i	0.201799	−	0.134838i
$415$	25.1231	−	16.9705i	1.23325	−	0.833051i
$416$	0.873070	−	0.361638i	0.0428058	−	0.0177307i
$417$	−7.07983	+	17.0922i	−0.346701	+	0.837010i
$418$	2.22829	−	1.48890i	0.108989	−	0.0728243i
$419$	−8.97035	−	13.4251i	−0.438230	−	0.655858i	0.544956	−	0.838465i	$-0.316546\pi$
$419$	−8.97035	−	13.4251i	−0.438230	−	0.655858i	−0.983186	+	0.182607i	$0.941546\pi$
$420$	11.8844	−	2.42629i	0.579900	−	0.118391i
$421$	−5.41788	+	5.41788i	−0.264051	+	0.264051i	−0.826698	−	0.562646i	$-0.809783\pi$
$421$	−5.41788	+	5.41788i	−0.264051	+	0.264051i	0.562646	+	0.826698i	$0.309783\pi$
$422$	3.71408	+	18.6719i	0.180799	+	0.908936i
$423$	−1.25697	+	0.520652i	−0.0611158	+	0.0253150i
$424$	5.97821			0.290328
$425$	4.80314	+	20.0482i	0.232987	+	0.972480i
$426$	−7.39244			−0.358165
$427$	28.5971	−	11.8453i	1.38391	−	0.573234i
$428$	−3.20530	−	16.1141i	−0.154934	−	0.778905i
$429$	−2.99640	+	2.99640i	−0.144668	+	0.144668i
$430$	24.4201	−	4.98555i	1.17764	−	0.240425i
$431$	19.8538	+	29.7133i	0.956324	+	1.43124i	0.901518	+	0.432742i	$0.142454\pi$
$431$	19.8538	+	29.7133i	0.956324	+	1.43124i	0.0548060	+	0.998497i	$0.482546\pi$
$432$	4.69833	−	3.13932i	0.226048	−	0.151041i
$433$	−1.73668	+	4.19272i	−0.0834596	+	0.201489i	−0.960100	−	0.279657i	$-0.909779\pi$
$433$	−1.73668	+	4.19272i	−0.0834596	+	0.201489i	0.876640	+	0.481146i	$0.159779\pi$
$434$	1.41552	−	0.586327i	0.0679470	−	0.0281446i
$435$	15.0807	−	10.1869i	0.723062	−	0.488424i
$436$	−12.1128	+	8.09353i	−0.580099	+	0.387610i
$437$	−3.04872	−	2.03709i	−0.145840	−	0.0974473i
$438$		−	3.24083i		−	0.154853i
$439$	5.15015	−	7.70775i	0.245803	−	0.367871i	−0.687968	−	0.725741i	$-0.741497\pi$
$439$	5.15015	−	7.70775i	0.245803	−	0.367871i	0.933771	+	0.357870i	$0.116497\pi$
$440$	2.82304	+	6.71942i	0.134583	+	0.320336i
$441$		−	9.46449i		−	0.450690i
$442$	−3.79808	+	0.869556i	−0.180656	+	0.0413606i
$443$	8.21112	−	8.21112i	0.390122	−	0.390122i	−0.484609	−	0.874731i	$-0.661038\pi$
$443$	8.21112	−	8.21112i	0.390122	−	0.390122i	0.874731	+	0.484609i	$0.161038\pi$
$444$	11.8973	+	4.92802i	0.564620	+	0.233873i
$445$	−4.01917	+	6.08124i	−0.190527	+	0.288278i
$446$	3.96179	+	3.96179i	0.187596	+	0.187596i
$447$	−15.9804	+	23.9164i	−0.755849	+	1.13121i
$448$	3.86721	+	0.769236i	0.182709	+	0.0363430i
$449$	−17.3971	−	3.46050i	−0.821020	−	0.163311i	−0.233330	−	0.972398i	$-0.574962\pi$
$449$	−17.3971	−	3.46050i	−0.821020	−	0.163311i	−0.587690	+	0.809086i	$0.699962\pi$
$450$	−2.06713	+	5.13634i	−0.0974456	+	0.242130i
$451$	3.00560	+	7.25616i	0.141528	+	0.341679i
$452$	−11.2234	−	16.7971i	−0.527907	−	0.790068i
$453$	0.597731	−	3.00500i	0.0280839	−	0.141187i
$454$	1.14923	+	5.77757i	0.0539360	+	0.271155i
$455$	−5.92115	−	5.86176i	−0.277588	−	0.274803i
$456$	−0.940510	−	0.628429i	−0.0440434	−	0.0294289i
$457$	11.0462	+	26.6678i	0.516718	+	1.24747i	0.939909	+	0.341426i	$0.110910\pi$
$457$	11.0462	+	26.6678i	0.516718	+	1.24747i	−0.423191	+	0.906041i	$0.639090\pi$
$458$	2.63294	+	2.63294i	0.123029	+	0.123029i
$459$	−21.2598	+	9.53019i	−0.992323	+	0.444831i
$460$	7.01553	−	7.08661i	0.327101	−	0.330415i
$461$	−14.6999	+	35.4887i	−0.684643	+	1.65287i	0.0706616	+	0.997500i	$0.477489\pi$
$461$	−14.6999	+	35.4887i	−0.684643	+	1.65287i	−0.755305	+	0.655374i	$0.772511\pi$
$462$	−17.3412	+	3.44938i	−0.806785	+	0.160480i
$463$	−22.5414			−1.04759			−0.523794	−	0.851845i	$-0.675484\pi$
$463$	−22.5414			−1.04759			−0.523794	+	0.851845i	$0.675484\pi$
$464$	5.80226	−	1.15414i	0.269363	−	0.0535797i
$465$	0.227290	−	1.17355i	0.0105403	−	0.0544220i
$466$	0.209931	−	1.05539i	0.00972485	−	0.0488901i
$467$	−17.3601	−	7.19081i	−0.803332	−	0.332751i	−0.0570418	−	0.998372i	$-0.518167\pi$
$467$	−17.3601	−	7.19081i	−0.803332	−	0.332751i	−0.746290	+	0.665621i	$0.768167\pi$
$468$	−0.966786	−	0.400456i	−0.0446897	−	0.0185111i
$469$	11.3485	−	57.0527i	0.524025	−	2.63445i
$470$	−2.27660	+	1.53783i	−0.105012	+	0.0709349i
$471$	−8.48639	+	1.68805i	−0.391032	+	0.0777812i
$472$	−9.80000			−0.451081
$473$	−35.6327	+	7.08779i	−1.63839	+	0.325897i
$474$	1.05425	−	2.54520i	0.0484235	−	0.116905i
$475$	4.11082	−	0.0414411i	0.188617	−	0.00190145i
$476$	−15.1922	−	5.78756i	−0.696335	−	0.265272i
$477$	−4.68099	−	4.68099i	−0.214328	−	0.214328i
$478$	7.43245	+	17.9435i	0.339952	+	0.820717i
$479$	−17.9848	−	12.0170i	−0.821744	−	0.549072i	0.0721271	−	0.997395i	$-0.477021\pi$
$479$	−17.9848	−	12.0170i	−0.821744	−	0.549072i	−0.893871	+	0.448323i	$0.852021\pi$
$480$	2.16424	−	2.18617i	0.0987838	−	0.0997846i
$481$	−1.72570	−	8.67569i	−0.0786853	−	0.395578i
$482$	3.42605	−	17.2239i	0.156052	−	0.784528i
$483$	13.4397	+	20.1140i	0.611528	+	0.915216i
$484$	0.143875	+	0.347346i	0.00653980	+	0.0157885i
$485$	24.8722	+	10.1559i	1.12939	+	0.461154i
$486$	−10.6194	−	2.11232i	−0.481704	−	0.0958169i
$487$	34.0013	+	6.76329i	1.54075	+	0.306474i	0.891116	−	0.453775i	$-0.149923\pi$
$487$	34.0013	+	6.76329i	1.54075	+	0.306474i	0.649632	+	0.760249i	$0.274923\pi$
$488$	4.36135	−	6.52723i	0.197429	−	0.295474i
$489$	−7.12048	−	7.12048i	−0.321999	−	0.321999i
$490$	−3.82295	−	18.7255i	−0.172703	−	0.845933i
$491$	−33.7150	−	13.9652i	−1.52154	−	0.630241i	−0.543638	−	0.839320i	$-0.682953\pi$
$491$	−33.7150	−	13.9652i	−1.52154	−	0.630241i	−0.977899	+	0.209079i	$0.932953\pi$
$492$	2.34406	−	2.34406i	0.105678	−	0.105678i
$493$	−24.3820	+	0.700384i	−1.09811	+	0.0315437i
$494$			0.776989i			0.0349584i
$495$	3.05090	−	7.47182i	0.137128	−	0.335833i
$496$	0.215881	−	0.323089i	0.00969336	−	0.0145071i
$497$			21.1873i			0.950380i
$498$	15.5094	+	10.3631i	0.694994	+	0.464380i
$499$	−2.04314	+	1.36519i	−0.0914637	+	0.0611141i	−0.600461	−	0.799654i	$-0.705016\pi$
$499$	−2.04314	+	1.36519i	−0.0914637	+	0.0611141i	0.508997	+	0.860768i	$0.330016\pi$
$500$	−2.01512	+	10.9972i	−0.0901191	+	0.491811i
$501$	7.28849	−	3.01899i	0.325626	−	0.134879i
$502$	0.417171	−	1.00714i	0.0186193	−	0.0449509i
$503$	−2.55831	+	1.70940i	−0.114069	+	0.0762186i	−0.611296	−	0.791402i	$-0.709352\pi$
$503$	−2.55831	+	1.70940i	−0.114069	+	0.0762186i	0.497227	+	0.867620i	$0.334352\pi$
$504$	−2.42574	−	3.63038i	−0.108051	−	0.161710i
$505$	−8.16176	−	39.9778i	−0.363193	−	1.77899i
$506$	−10.2783	+	10.2783i	−0.456925	+	0.456925i
$507$	3.24943	+	16.3360i	0.144312	+	0.725507i
$508$	−8.49957	+	3.52064i	−0.377107	+	0.156203i
$509$	30.8738			1.36846			0.684229	−	0.729268i	$-0.260139\pi$
$509$	30.8738			1.36846			0.684229	+	0.729268i	$0.260139\pi$
$510$	−10.3023	+	7.39861i	−0.456192	+	0.327616i
$511$	−9.28845			−0.410897
$512$	0.923880	−	0.382683i	0.0408301	−	0.0169124i
$513$	0.906386	+	4.55671i	0.0400179	+	0.201184i
$514$	−6.52316	+	6.52316i	−0.287724	+	0.287724i
$515$	−5.05419	+	7.64729i	−0.222714	+	0.336980i
$516$	8.51933	+	12.7501i	0.375043	+	0.561291i
$517$	3.32980	−	2.22490i	0.146444	−	0.0978510i
$518$	14.1241	−	34.0985i	0.620576	−	1.49820i
$519$	−16.2095	+	6.71419i	−0.711517	+	0.294720i
$520$	−2.07454	−	0.401793i	−0.0909748	−	0.0176198i
$521$	−23.4855	+	15.6925i	−1.02892	+	0.687501i	−0.950915	−	0.309452i	$-0.899855\pi$
$521$	−23.4855	+	15.6925i	−1.02892	+	0.687501i	−0.0780034	+	0.996953i	$0.524855\pi$
$522$	−5.44692	−	3.63951i	−0.238405	−	0.159297i
$523$		−	22.2512i		−	0.972976i	−0.873687	−	0.486488i	$-0.838278\pi$
$523$		−	22.2512i		−	0.972976i	0.873687	−	0.486488i	$-0.161722\pi$
$524$	6.24997	−	9.35374i	0.273031	−	0.408620i
$525$	−25.1613	−	10.1262i	−1.09813	−	0.441944i
$526$			3.45928i			0.150832i
$527$	−1.09989	+	1.16495i	−0.0479119	+	0.0507459i
$528$	−3.17078	+	3.17078i	−0.137990	+	0.137990i
$529$	−2.87552	−	1.19108i	−0.125022	−	0.0517860i
$530$	−11.1521	−	7.37057i	−0.484417	−	0.320157i
$531$	7.67347	+	7.67347i	0.333000	+	0.333000i
$532$	−1.80112	+	2.69557i	−0.0780886	+	0.116868i
$533$	−2.23334	−	0.444239i	−0.0967366	−	0.0192421i
$534$	−4.39862	−	0.874939i	−0.190347	−	0.0378623i
$535$	−13.8878	+	34.0121i	−0.600424	+	1.47047i
$536$	−5.64570	−	13.6299i	−0.243857	−	0.588724i
$537$	−1.08199	−	1.61931i	−0.0466913	−	0.0698785i
$538$	−3.63710	+	18.2849i	−0.156806	+	0.788319i
$539$	5.43496	+	27.3234i	0.234100	+	1.17690i
$540$	−12.6350	+	0.0636851i	−0.543725	+	0.00274057i
$541$	14.8295	+	9.90877i	0.637571	+	0.426011i	0.831900	−	0.554925i	$-0.187253\pi$
$541$	14.8295	+	9.90877i	0.637571	+	0.426011i	−0.194329	+	0.980936i	$0.562253\pi$
$542$	−2.29984	−	5.55232i	−0.0987868	−	0.238492i
$543$	3.17558	+	3.17558i	0.136277	+	0.136277i
$544$	−4.01912	+	0.920161i	−0.172318	+	0.0394516i
$545$	32.5745	−	0.164187i	1.39534	−	0.00703301i
$546$	1.96171	−	4.73598i	0.0839532	−	0.202681i
$547$	−34.6177	+	6.88590i	−1.48015	+	0.294420i	−0.868095	−	0.496397i	$-0.834656\pi$
$547$	−34.6177	+	6.88590i	−1.48015	+	0.294420i	−0.612053	+	0.790817i	$0.709656\pi$
$548$	−3.27841			−0.140047
$549$	−8.52585	+	1.69590i	−0.363874	+	0.0723791i
$550$	3.01815	−	16.0154i	0.128694	−	0.682897i
$551$	−0.948942	+	4.77065i	−0.0404263	+	0.203237i
$552$	5.66816	+	2.34783i	0.241253	+	0.0999303i
$553$	−7.29473	−	3.02157i	−0.310203	−	0.128490i
$554$	−1.06738	+	5.36609i	−0.0453487	+	0.227983i
$555$	−16.1181	−	23.8613i	−0.684177	−	1.01285i
$556$	13.1893	−	2.62351i	0.559350	−	0.111262i
$557$	−20.1118			−0.852165			−0.426083	−	0.904684i	$-0.640107\pi$
$557$	−20.1118			−0.852165			−0.426083	+	0.904684i	$0.640107\pi$
$558$	−0.422018	+	0.0839447i	−0.0178655	+	0.00355366i
$559$	4.03092	−	9.73150i	0.170490	−	0.411599i
$560$	−6.26573	−	6.20289i	−0.264776	−	0.262120i
$561$	15.0715	−	10.7089i	0.636318	−	0.452131i
$562$	5.34213	+	5.34213i	0.225344	+	0.225344i
$563$	15.7017	+	37.9073i	0.661749	+	1.59760i	0.795061	+	0.606529i	$0.207439\pi$
$563$	15.7017	+	37.9073i	0.661749	+	1.59760i	−0.133312	+	0.991074i	$0.542561\pi$
$564$	−1.40543	−	0.939079i	−0.0591793	−	0.0395423i
$565$	0.227682	+	45.1717i	0.00957864	+	1.90039i
$566$	−3.52244	−	17.7085i	−0.148059	−	0.744343i
$567$	3.42447	−	17.2160i	0.143814	−	0.723002i
$568$	2.98532	+	4.46784i	0.125261	+	0.187467i
$569$	1.48104	+	3.57556i	0.0620886	+	0.149895i	0.951879	−	0.306475i	$-0.0991494\pi$
$569$	1.48104	+	3.57556i	0.0620886	+	0.149895i	−0.889790	+	0.456370i	$0.849149\pi$
$570$	0.979691	+	2.33187i	0.0410347	+	0.0976712i
$571$	−18.3383	−	3.64772i	−0.767434	−	0.152652i	−0.204177	−	0.978934i	$-0.565452\pi$
$571$	−18.3383	−	3.64772i	−0.767434	−	0.152652i	−0.563257	+	0.826282i	$0.690452\pi$
$572$	3.02101	+	0.600917i	0.126315	+	0.0251256i
$573$	−1.42569	+	2.13370i	−0.0595592	+	0.0891367i
$574$	−6.71824	−	6.71824i	−0.280414	−	0.280414i
$575$	−21.8243	+	4.57030i	−0.910137	+	0.190595i
$576$	−1.02305	−	0.423761i	−0.0426271	−	0.0176567i
$577$	27.3964	−	27.3964i	1.14053	−	1.14053i	0.152175	−	0.988354i	$-0.451372\pi$
$577$	27.3964	−	27.3964i	1.14053	−	1.14053i	0.988354	−	0.152175i	$-0.0486277\pi$
$578$	16.9720	−	0.975862i	0.705941	−	0.0405905i
$579$			35.4576i			1.47357i
$580$	−12.2468	−	5.00064i	−0.508522	−	0.207640i
$581$	29.7013	−	44.4512i	1.23222	−	1.84415i
$582$			16.5292i			0.685156i
$583$	16.2018	+	10.8257i	0.671009	+	0.448354i
$584$	−1.95869	+	1.30876i	−0.0810512	+	0.0541567i
$585$	1.30978	+	1.93899i	0.0541526	+	0.0801674i
$586$	−12.8114	+	5.30666i	−0.529234	+	0.219216i
$587$	−8.33790	+	20.1295i	−0.344142	+	0.830833i	0.653146	+	0.757232i	$0.273449\pi$
$587$	−8.33790	+	20.1295i	−0.344142	+	0.830833i	−0.997288	+	0.0736004i	$0.976551\pi$
$588$	9.77685	−	6.53268i	0.403190	−	0.269403i
$589$	0.177499	+	0.265646i	0.00731372	+	0.0109458i
$590$	18.2815	+	12.0825i	0.752638	+	0.497428i
$591$	−9.61804	+	9.61804i	−0.395633	+	0.395633i
$592$	−1.82613	−	9.18058i	−0.0750536	−	0.377320i
$593$	−23.4149	+	9.69878i	−0.961535	+	0.398281i	−0.807555	−	0.589793i	$-0.799209\pi$
$593$	−23.4149	+	9.69878i	−0.961535	+	0.398281i	−0.153981	+	0.988074i	$0.549209\pi$
$594$	18.4180			0.755698
$595$	21.2050	+	29.5271i	0.869320	+	1.21049i
$596$	20.9081			0.856427
$597$	−29.6022	+	12.2616i	−1.21154	+	0.501835i
$598$	−0.822168	−	4.13332i	−0.0336209	−	0.169024i
$599$	13.8221	−	13.8221i	0.564757	−	0.564757i	−0.365898	−	0.930655i	$-0.619238\pi$
$599$	13.8221	−	13.8221i	0.564757	−	0.564757i	0.930655	+	0.365898i	$0.119238\pi$
$600$	−6.73266	+	1.40991i	−0.274860	+	0.0575592i
$601$	−15.0112	−	22.4659i	−0.612321	−	0.916403i	0.387664	−	0.921801i	$-0.373282\pi$
$601$	−15.0112	−	22.4659i	−0.612321	−	0.916403i	−0.999985	+	0.00539740i	$0.998282\pi$
$602$	36.5427	−	24.4171i	1.48937	−	0.995165i
$603$	−6.25172	+	15.0930i	−0.254590	+	0.614634i
$604$	−2.05755	+	0.852263i	−0.0837203	+	0.0346781i
$605$	0.159851	−	0.825345i	0.00649887	−	0.0335551i
$606$	20.8729	−	13.9468i	0.847905	−	0.566552i
$607$	20.7931	+	13.8935i	0.843965	+	0.563920i	0.900686	−	0.434470i	$-0.143064\pi$
$607$	20.7931	+	13.8935i	0.843965	+	0.563920i	−0.0567208	+	0.998390i	$0.518064\pi$
$608$			0.822206i			0.0333449i
$609$	17.8288	−	26.6827i	0.722460	−	1.08124i
$610$	−16.1834	+	6.79915i	−0.655246	+	0.275289i
$611$			1.16108i			0.0469721i
$612$	3.86749	+	2.42651i	0.156334	+	0.0980858i
$613$	20.2326	−	20.2326i	0.817186	−	0.817186i	−0.168513	−	0.985699i	$-0.553897\pi$
$613$	20.2326	−	20.2326i	0.817186	−	0.817186i	0.985699	+	0.168513i	$0.0538965\pi$
$614$	5.65332	+	2.34168i	0.228149	+	0.0945026i
$615$	−7.26274	+	1.48274i	−0.292862	+	0.0597900i
$616$	9.08769	+	9.08769i	0.366154	+	0.366154i
$617$	25.1119	−	37.5826i	1.01097	−	1.51302i	0.160467	−	0.987041i	$-0.448700\pi$
$617$	25.1119	−	37.5826i	1.01097	−	1.51302i	0.850499	−	0.525977i	$-0.176300\pi$
$618$	−5.53136	−	1.10025i	−0.222504	−	0.0442587i
$619$	−17.0656	−	3.39456i	−0.685924	−	0.136439i	−0.160188	−	0.987086i	$-0.551210\pi$
$619$	−17.0656	−	3.39456i	−0.685924	−	0.136439i	−0.525736	+	0.850648i	$0.676210\pi$
$620$	−0.801057	+	0.336549i	−0.0321712	+	0.0135161i
$621$	−9.64334	−	23.2811i	−0.386974	−	0.934237i
$622$	6.94869	+	10.3995i	0.278617	+	0.416980i
$623$	−2.50764	+	12.6068i	−0.100467	+	0.505080i
$624$	−0.253633	−	1.27510i	−0.0101534	−	0.0510448i
$625$	17.3177	−	18.0305i	0.692708	−	0.721218i
$626$	−11.7310	−	7.83841i	−0.468866	−	0.313286i
$627$	−1.41092	−	3.40625i	−0.0563466	−	0.136033i
$628$	4.44732	+	4.44732i	0.177467	+	0.177467i
$629$	1.10818	+	38.5782i	0.0441860	+	1.53821i
$630$	0.0492092	+	9.76303i	0.00196054	+	0.388968i
$631$	6.60019	−	15.9343i	0.262749	−	0.634333i	−0.736357	−	0.676593i	$-0.763456\pi$
$631$	6.60019	−	15.9343i	0.262749	−	0.634333i	0.999107	+	0.0422599i	$0.0134558\pi$
$632$	−1.96401	+	0.390666i	−0.0781241	+	0.0155399i
$633$	26.1910			1.04100
$634$	−20.5549	+	4.08862i	−0.816338	+	0.162380i
$635$	20.1962	+	3.91156i	0.801462	+	0.155225i
$636$	1.60451	−	8.06643i	0.0636231	−	0.319855i
$637$	−7.46217	−	3.09093i	−0.295662	−	0.122467i
$638$	17.8149	+	7.37917i	0.705298	+	0.292144i
$639$	1.16083	−	5.83588i	0.0459217	−	0.230864i
$640$	−2.19527	−	0.425176i	−0.0867758	−	0.0168065i
$641$	10.2922	−	2.04724i	0.406517	−	0.0808612i	0.0124034	−	0.999923i	$-0.496052\pi$
$641$	10.2922	−	2.04724i	0.406517	−	0.0808612i	0.394113	+	0.919062i	$0.371052\pi$
$642$	−22.6031			−0.892075
$643$	22.7760	−	4.53043i	0.898198	−	0.178663i	0.275663	−	0.961254i	$-0.411103\pi$
$643$	22.7760	−	4.53043i	0.898198	−	0.178663i	0.622535	+	0.782592i	$0.286103\pi$
$644$	6.72906	−	16.2454i	0.265162	−	0.640158i
$645$	−0.172825	−	34.2883i	−0.00680499	−	1.35010i
$646$	0.565622	−	3.34252i	0.0222541	−	0.131510i
$647$	−4.94294	−	4.94294i	−0.194327	−	0.194327i	0.603236	−	0.797563i	$-0.293878\pi$
$647$	−4.94294	−	4.94294i	−0.194327	−	0.194327i	−0.797563	+	0.603236i	$0.793878\pi$
$648$	−1.70362	−	4.11290i	−0.0669245	−	0.161570i
$649$	−26.5593	−	17.7464i	−1.04254	−	0.696606i
$650$	3.37461	+	3.30725i	0.132363	+	0.129721i
$651$	−0.411218	−	2.06733i	−0.0161169	−	0.0810251i
$652$	−1.42799	+	7.17897i	−0.0559243	+	0.281150i
$653$	1.40909	+	2.10886i	0.0551421	+	0.0825260i	0.858016	−	0.513623i	$-0.171697\pi$
$653$	1.40909	+	2.10886i	0.0551421	+	0.0825260i	−0.802874	+	0.596149i	$0.796697\pi$
$654$	7.66963	+	18.5161i	0.299906	+	0.724038i
$655$	−23.1914	+	9.74341i	−0.906161	+	0.380707i
$656$	−2.36331	−	0.470091i	−0.0922717	−	0.0183540i
$657$	2.55844	+	0.508905i	0.0998141	+	0.0198543i
$658$	−2.69147	+	4.02807i	−0.104924	+	0.157031i
$659$	17.6548	+	17.6548i	0.687733	+	0.687733i	0.961730	−	0.273997i	$-0.0883459\pi$
$659$	17.6548	+	17.6548i	0.687733	+	0.687733i	−0.273997	+	0.961730i	$0.588346\pi$
$660$	9.82424	−	2.00569i	0.382408	−	0.0780714i
$661$	25.1507	+	10.4178i	0.978250	+	0.405204i	0.813777	−	0.581177i	$-0.197408\pi$
$661$	25.1507	+	10.4178i	0.978250	+	0.405204i	0.164473	+	0.986382i	$0.447408\pi$
$662$	−8.24817	+	8.24817i	−0.320574	+	0.320574i
$663$	0.153916	+	5.35816i	0.00597760	+	0.208094i
$664$		−	13.5585i		−	0.526174i
$665$	6.68331	−	2.80787i	0.259168	−	0.108884i
$666$	−5.75860	+	8.61835i	−0.223141	+	0.333954i
$667$		−	26.3824i		−	1.02153i
$668$	−4.76796	−	3.18585i	−0.184478	−	0.123264i
$669$	6.40898	−	4.28234i	0.247785	−	0.165565i
$670$	−6.27259	+	32.3867i	−0.242331	+	1.25121i
$671$	23.6397	−	9.79190i	0.912602	−	0.378012i
$672$	2.07587	−	5.01159i	0.0800784	−	0.193326i
$673$	20.8337	−	13.9206i	0.803079	−	0.536600i	−0.0849515	−	0.996385i	$-0.527074\pi$
$673$	20.8337	−	13.9206i	0.803079	−	0.536600i	0.888030	+	0.459785i	$0.152074\pi$
$674$	−16.7997	−	25.1426i	−0.647101	−	0.968455i
$675$	23.6487	+	15.4590i	0.910238	+	0.595017i
$676$	8.56092	−	8.56092i	0.329266	−	0.329266i
$677$	2.60972	+	13.1199i	0.100300	+	0.504240i	0.997976	+	0.0635857i	$0.0202536\pi$
$677$	2.60972	+	13.1199i	0.100300	+	0.504240i	−0.897677	+	0.440655i	$0.854746\pi$
$678$	−25.6767	+	10.6356i	−0.986107	+	0.408459i
$679$	47.3738			1.81804
$680$	8.63198	+	3.23867i	0.331021	+	0.124197i
$681$	8.10415			0.310552
$682$	1.17014	−	0.484686i	0.0448068	−	0.0185596i
$683$	−1.04523	−	5.25475i	−0.0399948	−	0.201067i	0.955622	−	0.294596i	$-0.0951852\pi$
$683$	−1.04523	−	5.25475i	−0.0399948	−	0.201067i	−0.995617	+	0.0935290i	$0.970185\pi$
$684$	0.643794	−	0.643794i	0.0246161	−	0.0246161i
$685$	6.11575	+	4.04198i	0.233671	+	0.154436i
$686$	−3.38896	−	5.07194i	−0.129391	−	0.193648i
$687$	4.25930	−	2.84597i	0.162502	−	0.108581i
$688$	4.26550	−	10.2978i	0.162621	−	0.392601i
$689$	−5.21940	+	2.16195i	−0.198843	+	0.0823636i
$690$	−7.67908	−	11.3681i	−0.292338	−	0.432776i
$691$	39.7134	−	26.5357i	1.51077	−	1.00946i	0.523213	−	0.852202i	$-0.324733\pi$
$691$	39.7134	−	26.5357i	1.51077	−	1.00946i	0.987557	−	0.157262i	$-0.0502667\pi$
$692$	10.6039	+	7.08527i	0.403098	+	0.269342i
$693$		−	14.2315i		−	0.540609i
$694$	−15.1027	+	22.6029i	−0.573292	+	0.857992i
$695$	−27.8386	−	11.3671i	−1.05598	−	0.431178i
$696$		−	8.13878i		−	0.308500i
$697$	9.28419	+	3.53686i	0.351664	+	0.133968i
$698$	−13.0867	+	13.0867i	−0.495340	+	0.495340i
$699$	−1.36770	−	0.566521i	−0.0517313	−	0.0214278i
$700$	4.04090	+	19.2963i	0.152732	+	0.729332i
$701$	−14.9020	−	14.9020i	−0.562841	−	0.562841i	0.367273	−	0.930113i	$-0.380292\pi$
$701$	−14.9020	−	14.9020i	−0.562841	−	0.562841i	−0.930113	+	0.367273i	$0.880292\pi$
$702$	−2.96667	+	4.43994i	−0.111970	+	0.167575i
$703$	7.54833	+	1.50146i	0.284691	+	0.0566285i
$704$	3.19682	+	0.635888i	0.120485	+	0.0239659i
$705$	1.46398	+	3.48458i	0.0551367	+	0.131237i
$706$	3.78757	+	9.14401i	0.142547	+	0.344139i
$707$	−39.9727	−	59.8234i	−1.50333	−	2.24989i
$708$	−2.63025	+	13.2232i	−0.0988510	+	0.496958i
$709$	1.82623	+	9.18109i	0.0685856	+	0.344803i	0.999807	−	0.0196511i	$-0.00625556\pi$
$709$	1.82623	+	9.18109i	0.0685856	+	0.344803i	−0.931221	+	0.364454i	$0.881256\pi$
$710$	−0.0605609	−	12.0152i	−0.00227281	−	0.450922i
$711$	1.84373	+	1.23194i	0.0691453	+	0.0462014i
$712$	1.24751	+	3.01177i	0.0467526	+	0.112871i
$713$	−1.22533	−	1.22533i	−0.0458888	−	0.0458888i
$714$	−11.8867	+	18.9456i	−0.444848	+	0.709022i
$715$	−4.89471	−	4.84561i	−0.183052	−	0.181216i
$716$	−0.541736	+	1.30787i	−0.0202456	+	0.0488773i
$717$	26.2061	−	5.21272i	0.978685	−	0.194673i
$718$	−4.98985			−0.186220
$719$	−3.60024	+	0.716133i	−0.134266	+	0.0267072i	−0.261766	−	0.965131i	$-0.584305\pi$
$719$	−3.60024	+	0.716133i	−0.134266	+	0.0267072i	0.127500	+	0.991839i	$0.459305\pi$
$720$	1.38600	+	2.05183i	0.0516532	+	0.0764673i
$721$	−3.15341	+	15.8533i	−0.117439	+	0.590407i
$722$	16.9291	+	7.01228i	0.630038	+	0.260970i
$723$	−22.3208	−	9.24558i	−0.830119	−	0.343847i
$724$	0.636850	−	3.20166i	0.0236684	−	0.118989i
$725$	16.6807	+	24.4277i	0.619504	+	0.907221i
$726$	0.507291	−	0.100906i	0.0188273	−	0.00374499i
$727$	−42.5896			−1.57956			−0.789781	−	0.613389i	$-0.789806\pi$
$727$	−42.5896			−1.57956			−0.789781	+	0.613389i	$0.789806\pi$
$728$	−3.65453	+	0.726932i	−0.135446	+	0.0269419i
$729$	−10.8112	+	26.1005i	−0.400415	+	0.966687i
$730$	5.26743	−	0.0265497i	0.194956	−	0.000982650i
$731$	−24.4248	+	38.9295i	−0.903384	+	1.43986i
$732$	−7.63666	−	7.63666i	−0.282259	−	0.282259i
$733$	−6.50454	−	15.7034i	−0.240251	−	0.580017i	0.757057	−	0.653349i	$-0.226637\pi$
$733$	−6.50454	−	15.7034i	−0.240251	−	0.580017i	−0.997308	+	0.0733324i	$0.976637\pi$
$734$	2.74754	+	1.83585i	0.101414	+	0.0677625i
$735$	−26.2925	+	0.132524i	−0.969813	+	0.00488821i
$736$	−0.870015	−	4.37386i	−0.0320692	−	0.161223i
$737$	9.38121	−	47.1625i	0.345561	−	1.73725i
$738$	1.48240	+	2.21858i	0.0545681	+	0.0816669i
$739$	−18.3289	−	44.2498i	−0.674238	−	1.62775i	−0.774334	−	0.632777i	$-0.781915\pi$
$739$	−18.3289	−	44.2498i	−0.674238	−	1.62775i	0.100096	−	0.994978i	$-0.468085\pi$
$740$	−7.91222	+	19.3775i	−0.290859	+	0.712330i
$741$	1.04839	+	0.208539i	0.0385137	+	0.00766086i
$742$	−23.1190	−	4.59866i	−0.848725	−	0.168822i
$743$	19.5112	−	29.2006i	0.715798	−	1.07127i	−0.278056	−	0.960565i	$-0.589690\pi$
$743$	19.5112	−	29.2006i	0.715798	−	1.07127i	0.993854	−	0.110702i	$-0.0353099\pi$
$744$	−0.378005	−	0.378005i	−0.0138583	−	0.0138583i
$745$	−39.0031	−	25.7777i	−1.42896	−	0.944420i
$746$	13.0591	+	5.40924i	0.478126	+	0.198046i
$747$	−10.6165	+	10.6165i	−0.388436	+	0.388436i
$748$	−12.5586	−	4.78428i	−0.459189	−	0.174931i
$749$			64.7823i			2.36709i
$750$	14.2978	+	5.67060i	0.522081	+	0.207061i
$751$	−5.20645	+	7.79200i	−0.189986	+	0.284334i	−0.914218	−	0.405222i	$-0.867194\pi$
$751$	−5.20645	+	7.79200i	−0.189986	+	0.284334i	0.724232	+	0.689556i	$0.242194\pi$
$752$			1.22865i			0.0448041i
$753$	−1.24697	−	0.833202i	−0.0454423	−	0.0303636i
$754$	−4.64840	+	3.10596i	−0.169285	+	0.113112i
$755$	4.88903	+	0.946897i	0.177930	+	0.0344611i
$756$	−20.5843	+	8.52630i	−0.748644	+	0.310099i
$757$	−3.81254	+	9.20428i	−0.138569	+	0.334535i	−0.977896	−	0.209092i	$-0.932949\pi$
$757$	−3.81254	+	9.20428i	−0.138569	+	0.334535i	0.839327	+	0.543627i	$0.182949\pi$
$758$	3.42960	−	2.29158i	0.124569	−	0.0832340i
$759$	11.1099	+	16.6272i	0.403264	+	0.603528i
$760$	1.01370	−	1.53379i	0.0367709	−	0.0556365i
$761$	−15.1625	+	15.1625i	−0.549641	+	0.549641i	−0.926337	−	0.376696i	$-0.877060\pi$
$761$	−15.1625	+	15.1625i	−0.549641	+	0.549641i	0.376696	+	0.926337i	$0.377060\pi$
$762$	2.46918	+	12.4134i	0.0894491	+	0.449691i
$763$	53.0687	−	21.9818i	1.92121	−	0.795793i
$764$	1.86531			0.0674846
$765$	−4.22300	−	9.29481i	−0.152683	−	0.336055i
$766$	−4.39559			−0.158819
$767$	8.55609	−	3.54405i	0.308942	−	0.127968i
$768$	−0.268393	−	1.34931i	−0.00968482	−	0.0486889i
$769$	26.6938	−	26.6938i	0.962605	−	0.962605i	−0.0367208	−	0.999326i	$-0.511691\pi$
$769$	26.6938	−	26.6938i	0.962605	−	0.962605i	0.999326	+	0.0367208i	$0.0116912\pi$
$770$	−5.74846	−	28.1570i	−0.207160	−	1.01471i
$771$	7.05096	+	10.5525i	0.253934	+	0.380039i
$772$	21.4299	−	14.3190i	0.771279	−	0.515352i
$773$	10.8515	−	26.1979i	0.390302	−	0.942272i	−0.599572	−	0.800321i	$-0.704662\pi$
$773$	10.8515	−	26.1979i	0.390302	−	0.942272i	0.989874	−	0.141951i	$-0.0453376\pi$
$774$	−11.4032	+	4.72336i	−0.409880	+	0.169778i
$775$	1.90927	+	0.359809i	0.0685831	+	0.0129247i
$776$	9.98989	−	6.67503i	0.358616	−	0.239620i
$777$	−42.2185	−	28.2095i	−1.51458	−	1.01201i
$778$			1.23321i			0.0442129i
$779$	1.10069	−	1.64730i	0.0394364	−	0.0590208i
$780$	−1.09894	+	2.69135i	−0.0393482	+	0.0963659i
$781$			17.5144i			0.626716i
$782$	0.527964	+	18.3796i	0.0188799	+	0.657253i
$783$	−23.6377	+	23.6377i	−0.844742	+	0.844742i
$784$	−7.89644	−	3.27081i	−0.282016	−	0.116815i
$785$	−2.81317	−	13.7794i	−0.100406	−	0.491808i
$786$	−10.9436	−	10.9436i	−0.390345	−	0.390345i
$787$	0.878543	−	1.31483i	0.0313167	−	0.0468687i	−0.815481	−	0.578784i	$-0.803527\pi$
$787$	0.878543	−	1.31483i	0.0313167	−	0.0468687i	0.846798	+	0.531915i	$0.178527\pi$
$788$	9.69704	+	1.92886i	0.345443	+	0.0687128i
$789$	4.66763	+	0.928449i	0.166172	+	0.0330537i
$790$	4.14544	+	1.69267i	0.147488	+	0.0602224i
$791$	30.4825	+	73.5913i	1.08383	+	2.61661i
$792$	−2.00523	−	3.00104i	−0.0712529	−	0.106637i
$793$	−1.44728	+	7.27596i	−0.0513944	+	0.258377i
$794$	−2.65687	−	13.3570i	−0.0942886	−	0.474021i
$795$	−12.9383	+	13.0694i	−0.458874	+	0.463524i
$796$	19.3651	+	12.9393i	0.686376	+	0.458622i
$797$	7.20139	+	17.3857i	0.255086	+	0.615833i	0.998600	−	0.0528872i	$-0.0168424\pi$
$797$	7.20139	+	17.3857i	0.255086	+	0.615833i	−0.743514	+	0.668720i	$0.766842\pi$
$798$	3.15374	+	3.15374i	0.111641	+	0.111641i
$799$	0.845225	−	4.99483i	0.0299019	−	0.176704i
$800$	3.57099	+	3.49971i	0.126254	+	0.123734i
$801$	1.38142	−	3.33505i	0.0488102	−	0.117838i
$802$	19.4025	−	3.85939i	0.685124	−	0.136280i
$803$	−7.67828			−0.270961
$804$	−19.9062	+	3.95959i	−0.702038	+	0.139644i
$805$	−32.5818	+	22.0088i	−1.14836	+	0.775709i
$806$	−0.0716384	+	0.360150i	−0.00252335	+	0.0126858i
$807$	23.6958	+	9.81511i	0.834131	+	0.345508i
$808$	−16.8584	−	6.98297i	−0.593076	−	0.245660i
$809$	−5.00152	+	25.1443i	−0.175844	+	0.884028i	0.787614	+	0.616169i	$0.211316\pi$
$809$	−5.00152	+	25.1443i	−0.175844	+	0.884028i	−0.963458	+	0.267859i	$0.913684\pi$
$810$	−1.89279	+	9.77286i	−0.0665058	+	0.343383i
$811$	−32.1100	+	6.38709i	−1.12754	+	0.224281i	−0.723408	−	0.690421i	$-0.757425\pi$
$811$	−32.1100	+	6.38709i	−1.12754	+	0.224281i	−0.404129	+	0.914702i	$0.632425\pi$
$812$	−23.3264			−0.818595
$813$	−8.10903	+	1.61299i	−0.284396	+	0.0565699i
$814$	11.6756	−	28.1875i	0.409231	−	0.987971i
$815$	11.5148	−	11.6315i	0.403348	−	0.407434i
$816$	0.162873	+	5.66998i	0.00570170	+	0.198489i
$817$	6.48032	+	6.48032i	0.226718	+	0.226718i
$818$	−8.65595	−	20.8973i	−0.302648	−	0.730658i
$819$	3.43072	+	2.29233i	0.119879	+	0.0801007i
$820$	3.82908	+	3.79067i	0.133717	+	0.132376i
$821$	−2.37800	−	11.9550i	−0.0829927	−	0.417233i	−0.999838	−	0.0179902i	$-0.994273\pi$
$821$	−2.37800	−	11.9550i	−0.0829927	−	0.417233i	0.916845	−	0.399242i	$-0.130727\pi$
$822$	−0.879905	+	4.42358i	−0.0306902	+	0.154290i
$823$	0.868039	+	1.29911i	0.0302580	+	0.0452842i	0.846290	−	0.532722i	$-0.178831\pi$
$823$	0.868039	+	1.29911i	0.0302580	+	0.0452842i	−0.816032	+	0.578006i	$0.803831\pi$
$824$	1.56878	+	3.78736i	0.0546509	+	0.131939i
$825$	−20.7996	−	8.37082i	−0.724147	−	0.291435i
$826$	37.8987	+	7.53851i	1.31866	+	0.262298i
$827$	−0.954611	−	0.189884i	−0.0331951	−	0.00660291i	0.178465	−	0.983946i	$-0.442887\pi$
$827$	−0.954611	−	0.189884i	−0.0331951	−	0.00660291i	−0.211660	+	0.977343i	$0.567887\pi$
$828$	−2.74354	+	4.10599i	−0.0953445	+	0.142693i
$829$	7.13903	+	7.13903i	0.247949	+	0.247949i	0.820128	−	0.572180i	$-0.193902\pi$
$829$	7.13903	+	7.13903i	0.247949	+	0.247949i	−0.572180	+	0.820128i	$0.693902\pi$
$830$	−16.7164	+	25.2929i	−0.580235	+	0.877931i
$831$	6.95401	+	2.88045i	0.241232	+	0.0999216i
$832$	−0.668219	+	0.668219i	−0.0231663	+	0.0231663i
$833$	29.8514	+	18.7291i	1.03429	+	0.648924i
$834$		−	18.5005i		−	0.640620i
$835$	4.96659	+	11.8215i	0.171876	+	0.409101i
$836$	−1.48890	+	2.22829i	−0.0514946	+	0.0770670i
$837$			2.19570i			0.0758945i
$838$	13.4251	+	8.97035i	0.463762	+	0.309876i
$839$	40.2985	−	26.9266i	1.39126	−	0.929610i	0.391303	−	0.920262i	$-0.372025\pi$
$839$	40.2985	−	26.9266i	1.39126	−	0.929610i	0.999956	−	0.00934756i	$-0.00297546\pi$
$840$	−10.0513	+	6.78957i	−0.346802	+	0.234263i
$841$	−5.54166	+	2.29543i	−0.191092	+	0.0791528i
$842$	2.93213	−	7.07880i	0.101048	−	0.243952i
$843$	8.64195	−	5.77437i	0.297645	−	0.198880i
$844$	−10.5768	−	15.8293i	−0.364069	−	0.544867i
$845$	−26.5249	+	5.41525i	−0.912483	+	0.186290i
$846$	0.962040	−	0.962040i	0.0330756	−	0.0330756i
$847$	−0.289206	−	1.45394i	−0.00993723	−	0.0499578i
$848$	−5.52315	+	2.28776i	−0.189666	+	0.0785621i
$849$	−24.8395			−0.852491
$850$	−12.1096	−	16.6840i	−0.415357	−	0.572257i
$851$	−41.7433			−1.43094
$852$	6.82972	−	2.82896i	0.233982	−	0.0969187i
$853$	2.94365	+	14.7987i	0.100789	+	0.506699i	0.997893	+	0.0648802i	$0.0206665\pi$
$853$	2.94365	+	14.7987i	0.100789	+	0.506699i	−0.897104	+	0.441819i	$0.854333\pi$
$854$	−21.8873	+	21.8873i	−0.748967	+	0.748967i
$855$	−1.99471	+	0.407235i	−0.0682176	+	0.0139271i
$856$	9.12791	+	13.6609i	0.311986	+	0.466920i
$857$	−41.2149	+	27.5389i	−1.40787	+	0.940712i	−0.408263	+	0.912865i	$0.633865\pi$
$857$	−41.2149	+	27.5389i	−1.40787	+	0.940712i	−0.999612	+	0.0278473i	$0.991135\pi$
$858$	1.62164	−	3.91499i	0.0553619	−	0.133655i
$859$	−31.3980	+	13.0055i	−1.07128	+	0.443741i	−0.847444	−	0.530885i	$-0.821860\pi$
$859$	−31.3980	+	13.0055i	−1.07128	+	0.443741i	−0.223841	+	0.974626i	$0.571860\pi$
$860$	−20.6534	+	13.9512i	−0.704274	+	0.475733i
$861$	−10.8681	+	7.26182i	−0.370383	+	0.247482i
$862$	−29.7133	−	19.8538i	−1.01204	−	0.676223i
$863$			5.15284i			0.175405i	0.996147	+	0.0877024i	$0.0279525\pi$
$863$			5.15284i			0.175405i	−0.996147	+	0.0877024i	$0.972048\pi$
$864$	−3.13932	+	4.69833i	−0.106802	+	0.159840i
$865$	−11.0456	−	26.2909i	−0.375562	−	0.893916i
$866$		−	4.53817i		−	0.154213i
$867$	3.23843	−	23.1623i	0.109983	−	0.786632i
$868$	−1.08339	+	1.08339i	−0.0367727	+	0.0367727i
$869$	−6.03017	−	2.49778i	−0.204560	−	0.0847314i
$870$	−10.0344	+	15.1826i	−0.340196	+	0.514738i
$871$	9.85819	+	9.85819i	0.334032	+	0.334032i
$872$	8.09353	−	12.1128i	0.274081	−	0.410192i
$873$	−13.0488	−	2.59556i	−0.441634	−	0.0878465i
$874$	3.59621	+	0.715331i	0.121644	+	0.0241964i
$875$	16.2524	−	40.9785i	0.549431	−	1.38533i
$876$	1.24021	+	2.99413i	0.0419028	+	0.101162i
$877$	−13.2489	−	19.8283i	−0.447382	−	0.669555i	0.537404	−	0.843325i	$-0.319405\pi$
$877$	−13.2489	−	19.8283i	−0.447382	−	0.669555i	−0.984786	+	0.173770i	$0.944405\pi$
$878$	−1.80849	+	9.09191i	−0.0610337	+	0.306837i
$879$	3.72180	+	18.7108i	0.125533	+	0.631099i
$880$	−5.17956	−	5.12761i	−0.174603	−	0.172852i
$881$	42.1545	+	28.1667i	1.42022	+	0.948961i	0.999120	+	0.0419471i	$0.0133561\pi$
$881$	42.1545	+	28.1667i	1.42022	+	0.948961i	0.421101	+	0.907014i	$0.361644\pi$
$882$	3.62190	+	8.74405i	0.121956	+	0.294428i
$883$	15.6413	+	15.6413i	0.526372	+	0.526372i	0.919489	−	0.393116i	$-0.128603\pi$
$883$	15.6413	+	15.6413i	0.526372	+	0.526372i	−0.393116	+	0.919489i	$0.628603\pi$
$884$	3.17621	−	2.25683i	0.106827	−	0.0759054i
$885$	21.2096	−	21.4245i	0.712952	−	0.720176i
$886$	−4.44383	+	10.7284i	−0.149293	+	0.360426i
$887$	−7.45890	+	1.48367i	−0.250445	+	0.0498167i	−0.318716	−	0.947850i	$-0.603252\pi$
$887$	−7.45890	+	1.48367i	−0.250445	+	0.0498167i	0.0682710	+	0.997667i	$0.478252\pi$
$888$	−12.8775			−0.432142
$889$	35.5778	−	7.07687i	1.19324	−	0.237351i
$890$	1.38604	−	7.15640i	0.0464600	−	0.239883i
$891$	2.83083	−	14.2315i	0.0948364	−	0.476775i
$892$	−5.17632	−	2.14410i	−0.173316	−	0.0717899i
$893$	−0.933303	−	0.386587i	−0.0312318	−	0.0129366i
$894$	5.61158	−	28.2113i	0.187679	−	0.943528i
$895$	2.62306	−	1.77186i	0.0876793	−	0.0592269i
$896$	−3.86721	+	0.769236i	−0.129194	+	0.0256984i
$897$	−5.79777			−0.193582
$898$	17.3971	−	3.46050i	0.580549	−	0.115478i
$899$	−0.879709	+	2.12381i	−0.0293399	+	0.0708329i
$900$	−0.0558125	−	5.53642i	−0.00186042	−	0.184547i
$901$	24.0271	−	5.50092i	0.800460	−	0.183262i
$902$	−5.55362	−	5.55362i	−0.184915	−	0.184915i
$903$	−23.1382	−	55.8606i	−0.769992	−	1.85893i
$904$	16.7971	+	11.2234i	0.558663	+	0.373286i
$905$	−5.13537	+	5.18740i	−0.170705	+	0.172435i
$906$	0.597731	+	3.00500i	0.0198583	+	0.0998344i
$907$	−3.62029	+	18.2004i	−0.120210	+	0.604336i	0.872973	+	0.487769i	$0.162189\pi$
$907$	−3.62029	+	18.2004i	−0.120210	+	0.604336i	−0.993183	+	0.116567i	$0.962811\pi$
$908$	−3.27273	−	4.89799i	−0.108609	−	0.162545i
$909$	7.73253	+	18.6680i	0.256472	+	0.619178i
$910$	7.71362	+	3.14963i	0.255704	+	0.104409i
$911$	−36.9257	−	7.34498i	−1.22340	−	0.243350i	−0.459204	−	0.888331i	$-0.651865\pi$
$911$	−36.9257	−	7.34498i	−1.22340	−	0.243350i	−0.764199	+	0.644981i	$0.776865\pi$
$912$	1.10941	+	0.220675i	0.0367361	+	0.00730727i
$913$	24.5526	−	36.7455i	0.812571	−	1.21610i
$914$	−20.4106	−	20.4106i	−0.675124	−	0.675124i
$915$	4.83061	+	23.6612i	0.159695	+	0.782215i
$916$	−3.44010	−	1.42493i	−0.113664	−	0.0470812i
$917$	−31.3652	+	31.3652i	−1.03577	+	1.03577i
$918$	15.9944	−	16.9405i	0.527895	−	0.559121i
$919$			19.2337i			0.634461i	0.948348	+	0.317231i	$0.102753\pi$
$919$			19.2337i			0.634461i	−0.948348	+	0.317231i	$0.897247\pi$
$920$	−3.76958	+	9.23191i	−0.124279	+	0.304367i
$921$	4.67696	−	6.99956i	0.154111	−	0.230643i
$922$		−	38.4127i		−	1.26506i
$923$	−4.22213	−	2.82114i	−0.138973	−	0.0928589i
$924$	14.7012	−	9.82300i	0.483632	−	0.323153i
$925$	38.6505	−	26.3929i	1.27082	−	0.867792i
$926$	20.8256	−	8.62623i	0.684370	−	0.283475i
$927$	1.73717	−	4.19390i	0.0570561	−	0.137746i
$928$	−4.91892	+	3.28672i	−0.161471	+	0.107892i
$929$	−4.65183	−	6.96196i	−0.152622	−	0.228414i	0.747278	−	0.664512i	$-0.231360\pi$
$929$	−4.65183	−	6.96196i	−0.152622	−	0.228414i	−0.899900	+	0.436097i	$0.856360\pi$
$930$	0.239109	+	1.17120i	0.00784068	+	0.0384051i
$931$	4.96915	−	4.96915i	0.162857	−	0.162857i
$932$	0.209931	+	1.05539i	0.00687651	+	0.0345705i
$933$	15.8970	−	6.58476i	0.520445	−	0.215575i
$934$	18.7905			0.614844
$935$	17.5291	+	24.4085i	0.573262	+	0.798243i
$936$	1.04644			0.0342040
$937$	−8.22542	+	3.40708i	−0.268713	+	0.111304i	−0.512971	−	0.858406i	$-0.671455\pi$
$937$	−8.22542	+	3.40708i	−0.268713	+	0.111304i	0.244259	+	0.969710i	$0.421455\pi$
$938$	11.3485	+	57.0527i	0.370541	+	1.86284i
$939$	−13.7249	+	13.7249i	−0.447896	+	0.447896i
$940$	1.51481	−	2.29199i	0.0494075	−	0.0747565i
$941$	3.64435	+	5.45415i	0.118802	+	0.177800i	0.886105	−	0.463485i	$-0.153401\pi$
$941$	3.64435	+	5.45415i	0.118802	+	0.177800i	−0.767302	+	0.641286i	$0.778401\pi$
$942$	7.19442	−	4.80716i	0.234407	−	0.156626i
$943$	−4.11223	+	9.92779i	−0.133913	+	0.323293i
$944$	9.05402	−	3.75030i	0.294683	−	0.122062i
$945$	48.9113	+	9.47304i	1.59109	+	0.308158i
$946$	30.2080	−	20.1843i	0.982146	−	0.656249i
$947$	−10.5940	−	7.07867i	−0.344258	−	0.230026i	0.371406	−	0.928471i	$-0.378876\pi$
$947$	−10.5940	−	7.07867i	−0.344258	−	0.230026i	−0.715664	+	0.698445i	$0.753876\pi$
$948$			2.75490i			0.0894750i
$949$	1.23678	−	1.85097i	0.0401476	−	0.0600851i
$950$	−3.78205	+	1.61143i	−0.122706	+	0.0522817i
$951$			28.8321i			0.934946i
$952$	16.2506	−	0.466807i	0.526685	−	0.0151293i
$953$	16.2325	−	16.2325i	0.525821	−	0.525821i	−0.393502	−	0.919324i	$-0.628737\pi$
$953$	16.2325	−	16.2325i	0.525821	−	0.525821i	0.919324	+	0.393502i	$0.128737\pi$
$954$	6.11600	+	2.53333i	0.198013	+	0.0820196i
$955$	−3.47966	−	2.29975i	−0.112599	−	0.0744183i
$956$	−13.7334	−	13.7334i	−0.444169	−	0.444169i
$957$	14.7382	−	22.0572i	0.476417	−	0.713008i
$958$	21.2145	+	4.21982i	0.685408	+	0.136336i
$959$	12.6783	+	2.52187i	0.409404	+	0.0814356i
$960$	−1.16289	+	2.84798i	−0.0375321	+	0.0919181i
$961$	−11.8054	−	28.5008i	−0.380819	−	0.919380i
$962$	4.91439	+	7.35490i	0.158446	+	0.237131i
$963$	3.54936	−	17.8438i	0.114376	−	0.575009i
$964$	3.42605	+	17.2239i	0.110346	+	0.554745i
$965$	−57.6306	+	0.290479i	−1.85519	+	0.00935084i
$966$	−20.1140	−	13.4397i	−0.647156	−	0.432416i
$967$	21.1866	+	51.1491i	0.681316	+	1.64484i	0.761581	+	0.648070i	$0.224424\pi$
$967$	21.1866	+	51.1491i	0.681316	+	1.64484i	−0.0802645	+	0.996774i	$0.525576\pi$
$968$	−0.265847	−	0.265847i	−0.00854465	−	0.00854465i
$969$	−4.35827	−	1.66031i	−0.140008	−	0.0533368i
$970$	−26.8654	+	0.135411i	−0.862597	+	0.00434780i
$971$	7.54998	−	18.2273i	0.242290	−	0.584941i	−0.755219	−	0.655472i	$-0.772470\pi$
$971$	7.54998	−	18.2273i	0.242290	−	0.584941i	0.997510	+	0.0705316i	$0.0224696\pi$
$972$	10.6194	−	2.11232i	0.340616	−	0.0677528i
$973$	−53.0238			−1.69987
$974$	−34.0013	+	6.76329i	−1.08947	+	0.216710i
$975$	5.36821	−	3.66573i	0.171920	−	0.117397i
$976$	−1.53150	+	7.69939i	−0.0490223	+	0.246451i
$977$	46.6848	+	19.3375i	1.49358	+	0.618661i	0.972092	−	0.234599i	$-0.0753776\pi$
$977$	46.6848	+	19.3375i	1.49358	+	0.618661i	0.521487	+	0.853259i	$0.325378\pi$
$978$	9.30336	+	3.85358i	0.297489	+	0.123224i
$979$	−2.07294	+	10.4214i	−0.0662514	+	0.333068i
$980$	10.6979	+	15.8371i	0.341732	+	0.505899i
$981$	−15.8217	+	3.14714i	−0.505149	+	0.100480i
$982$	36.4929			1.16453
$983$	−5.42789	+	1.07967i	−0.173123	+	0.0344362i	−0.280890	−	0.959740i	$-0.590630\pi$
$983$	−5.42789	+	1.07967i	−0.173123	+	0.0344362i	0.107768	+	0.994176i	$0.465630\pi$
$984$	−1.26859	+	3.06266i	−0.0404413	+	0.0976339i
$985$	−15.7113	−	15.5538i	−0.500605	−	0.495584i
$986$	22.2580	−	9.97764i	0.708838	−	0.317753i
$987$	4.71272	+	4.71272i	0.150008	+	0.150008i
$988$	−0.297341	−	0.717844i	−0.00945967	−	0.0228377i
$989$	−41.3302	−	27.6160i	−1.31422	−	0.878136i
$990$	0.0406787	+	8.07059i	0.00129285	+	0.256500i
$991$	1.81555	+	9.12738i	0.0576728	+	0.289941i	0.998848	−	0.0479770i	$-0.0152774\pi$
$991$	1.81555	+	9.12738i	0.0576728	+	0.289941i	−0.941176	+	0.337918i	$0.890277\pi$
$992$	−0.0758074	+	0.381110i	−0.00240689	+	0.0121002i
$993$	8.91555	+	13.3431i	0.282926	+	0.423429i
$994$	−8.10803	−	19.5745i	−0.257171	−	0.620866i
$995$	−20.1718	−	48.0131i	−0.639489	−	1.52212i
$996$	−18.2946	−	3.63903i	−0.579687	−	0.115307i
$997$	−47.0382	−	9.35648i	−1.48971	−	0.296323i	−0.617938	−	0.786227i	$-0.712032\pi$
$997$	−47.0382	−	9.35648i	−1.48971	−	0.296323i	−0.871776	+	0.489904i	$0.837032\pi$
$998$	1.36519	−	2.04314i	0.0432142	−	0.0646746i
$999$	37.4006	+	37.4006i	1.18330	+	1.18330i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.a.7.3	✓	32
5.2	odd	4		850.2.v.c.143.3		32
5.3	odd	4		170.2.r.a.143.2	yes	32
5.4	even	2		850.2.s.c.7.2		32
17.5	odd	16		170.2.r.a.107.2	yes	32
85.22	even	16		850.2.s.c.243.2		32
85.39	odd	16		850.2.v.c.107.3		32
85.73	even	16	inner	170.2.o.a.73.3	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.7.3	✓	32	1.1	even	1	trivial
170.2.o.a.73.3	yes	32	85.73	even	16	inner
170.2.r.a.107.2	yes	32	17.5	odd	16
170.2.r.a.143.2	yes	32	5.3	odd	4
850.2.s.c.7.2		32	5.4	even	2
850.2.s.c.243.2		32	85.22	even	16
850.2.v.c.107.3		32	85.39	odd	16
850.2.v.c.143.3		32	5.2	odd	4

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.923880 + 0.382683i) q^{2} +(0.268393 + 1.34931i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.19088 + 0.447284i) q^{5} +(-0.764320 - 1.14389i) q^{6} +(-3.27846 + 2.19060i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(1.02305 - 0.423761i) q^{9} +O(q^{10})\)	\(q+(-0.923880 + 0.382683i) q^{2} +(0.268393 + 1.34931i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.19088 + 0.447284i) q^{5} +(-0.764320 - 1.14389i) q^{6} +(-3.27846 + 2.19060i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(1.02305 - 0.423761i) q^{9} +(1.85294 - 1.25165i) q^{10} +(-2.71014 + 1.81086i) q^{11} +(1.14389 + 0.764320i) q^{12} -0.945005i q^{13} +(2.19060 - 3.27846i) q^{14} +(-1.19154 - 2.83611i) q^{15} -1.00000i q^{16} +(-0.687932 + 4.06531i) q^{17} +(-0.783008 + 0.783008i) q^{18} +(0.759619 + 0.314645i) q^{19} +(-1.23291 + 1.86546i) q^{20} +(-3.83571 - 3.83571i) q^{21} +(1.81086 - 2.71014i) q^{22} +(-4.37386 - 0.870015i) q^{23} +(-1.34931 - 0.268393i) q^{24} +(4.59987 - 1.95989i) q^{25} +(0.361638 + 0.873070i) q^{26} +(3.13932 + 4.69833i) q^{27} +(-0.769236 + 3.86721i) q^{28} +(1.15414 + 5.80226i) q^{29} +(2.18617 + 2.16424i) q^{30} +(0.323089 + 0.215881i) q^{31} +(0.382683 + 0.923880i) q^{32} +(-3.17078 - 3.17078i) q^{33} +(-0.920161 - 4.01912i) q^{34} +(6.20289 - 6.26573i) q^{35} +(0.423761 - 1.02305i) q^{36} +(9.18058 - 1.82613i) q^{37} -0.822206 q^{38} +(1.27510 - 0.253633i) q^{39} +(0.425176 - 2.19527i) q^{40} +(0.470091 - 2.36331i) q^{41} +(5.01159 + 2.07587i) q^{42} +(10.2978 + 4.26550i) q^{43} +(-0.635888 + 3.19682i) q^{44} +(-2.05183 + 1.38600i) q^{45} +(4.37386 - 0.870015i) q^{46} -1.22865 q^{47} +(1.34931 - 0.268393i) q^{48} +(3.27081 - 7.89644i) q^{49} +(-3.49971 + 3.57099i) q^{50} +(-5.66998 + 0.162873i) q^{51} +(-0.668219 - 0.668219i) q^{52} +(-2.28776 - 5.52315i) q^{53} +(-4.69833 - 3.13932i) q^{54} +(5.12761 - 5.17956i) q^{55} +(-0.769236 - 3.86721i) q^{56} +(-0.220675 + 1.10941i) q^{57} +(-3.28672 - 4.91892i) q^{58} +(3.75030 + 9.05402i) q^{59} +(-2.84798 - 1.16289i) q^{60} +(-7.69939 - 1.53150i) q^{61} +(-0.381110 - 0.0758074i) q^{62} +(-2.42574 + 3.63038i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(0.422685 + 2.07039i) q^{65} +(4.14282 + 1.71601i) q^{66} +(-10.4319 + 10.4319i) q^{67} +(2.38817 + 3.36105i) q^{68} -6.13518i q^{69} +(-3.33293 + 8.16253i) q^{70} +(2.98532 - 4.46784i) q^{71} +1.10734i q^{72} +(1.95869 + 1.30876i) q^{73} +(-7.78292 + 5.20038i) q^{74} +(3.87906 + 5.68061i) q^{75} +(0.759619 - 0.314645i) q^{76} +(4.91822 - 11.8736i) q^{77} +(-1.08098 + 0.722286i) q^{78} +(1.11252 + 1.66501i) q^{79} +(0.447284 + 2.19088i) q^{80} +(-3.14788 + 3.14788i) q^{81} +(0.470091 + 2.36331i) q^{82} +(-12.5265 + 5.18863i) q^{83} -5.42451 q^{84} +(-0.311174 - 9.21429i) q^{85} -11.1463 q^{86} +(-7.51925 + 3.11458i) q^{87} +(-0.635888 - 3.19682i) q^{88} +(2.30511 - 2.30511i) q^{89} +(1.36525 - 2.06570i) q^{90} +(2.07013 + 3.09816i) q^{91} +(-3.70798 + 2.47759i) q^{92} +(-0.204575 + 0.493887i) q^{93} +(1.13512 - 0.470182i) q^{94} +(-1.80497 - 0.349582i) q^{95} +(-1.14389 + 0.764320i) q^{96} +(-9.98989 - 6.67503i) q^{97} +8.54705i q^{98} +(-2.00523 + 3.00104i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q+O(q^{10}) \) 32 * q	\( 32 q + 8 q^{10} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) \) 32 * q + 8 * q^10 - 40 * q^15 + 16 * q^18 + 8 * q^20 - 8 * q^25 + 8 * q^26 - 72 * q^27 + 8 * q^28 + 8 * q^29 - 16 * q^31 - 64 * q^33 - 24 * q^34 + 32 * q^35 + 16 * q^37 + 32 * q^39 - 8 * q^40 + 16 * q^41 - 40 * q^42 + 48 * q^43 + 16 * q^44 + 24 * q^45 - 64 * q^47 + 16 * q^49 + 32 * q^50 + 32 * q^51 - 16 * q^52 - 24 * q^54 + 8 * q^55 + 8 * q^56 - 8 * q^57 - 16 * q^58 + 64 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 24 * q^63 - 16 * q^65 - 16 * q^67 - 16 * q^68 + 24 * q^70 + 8 * q^71 + 16 * q^73 - 8 * q^74 - 8 * q^75 + 40 * q^77 + 48 * q^78 - 72 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 - 8 * q^85 - 64 * q^86 + 24 * q^87 + 16 * q^88 - 16 * q^89 + 48 * q^90 + 48 * q^91 + 8 * q^92 + 8 * q^93 - 8 * q^94 + 40 * q^95 + 16 * q^97 + 64 * q^99

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