LMFDB - Embedded newform 170.2.r.a.113.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (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			113.3
Character	$\chi$	$=$	170.113
Dual form			170.2.r.a.167.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.923880 - 0.382683i) q^{2} +(0.776902 - 1.16272i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-1.16598 + 1.90801i) q^{5} +(0.272812 - 1.37152i) q^{6} +(0.749924 - 3.77012i) q^{7} +(0.382683 - 0.923880i) q^{8} +(0.399719 + 0.965007i) q^{9} +O(q^{10})$	\(q+(0.923880 - 0.382683i) q^{2} +(0.776902 - 1.16272i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-1.16598 + 1.90801i) q^{5} +(0.272812 - 1.37152i) q^{6} +(0.749924 - 3.77012i) q^{7} +(0.382683 - 0.923880i) q^{8} +(0.399719 + 0.965007i) q^{9} +(-0.347062 + 2.20897i) q^{10} +(3.05074 + 0.606830i) q^{11} +(-0.272812 - 1.37152i) q^{12} -4.47811 q^{13} +(-0.749924 - 3.77012i) q^{14} +(1.31262 + 2.83804i) q^{15} -1.00000i q^{16} +(-2.57856 + 3.21730i) q^{17} +(0.738584 + 0.738584i) q^{18} +(-1.25117 + 3.02060i) q^{19} +(0.524693 + 2.17364i) q^{20} +(-3.80097 - 3.80097i) q^{21} +(3.05074 - 0.606830i) q^{22} +(-2.05011 + 1.36984i) q^{23} +(-0.776902 - 1.16272i) q^{24} +(-2.28098 - 4.44940i) q^{25} +(-4.13724 + 1.71370i) q^{26} +(5.54712 + 1.10339i) q^{27} +(-2.13560 - 3.19616i) q^{28} +(5.13288 + 3.42968i) q^{29} +(2.29877 + 2.11969i) q^{30} +(-6.04350 + 1.20213i) q^{31} +(-0.382683 - 0.923880i) q^{32} +(3.07570 - 3.07570i) q^{33} +(-1.15107 + 3.95917i) q^{34} +(6.31903 + 5.82675i) q^{35} +(0.965007 + 0.399719i) q^{36} +(6.31173 + 4.21737i) q^{37} +3.26947i q^{38} +(-3.47905 + 5.20677i) q^{39} +(1.31657 + 1.80739i) q^{40} +(1.67914 - 1.12196i) q^{41} +(-4.96620 - 2.05707i) q^{42} +(-5.82356 - 2.41220i) q^{43} +(2.58629 - 1.72811i) q^{44} +(-2.30730 - 0.362512i) q^{45} +(-1.36984 + 2.05011i) q^{46} -9.31086i q^{47} +(-1.16272 - 0.776902i) q^{48} +(-7.18430 - 2.97583i) q^{49} +(-3.81006 - 3.23781i) q^{50} +(1.73751 + 5.49766i) q^{51} +(-3.16650 + 3.16650i) q^{52} +(-4.76690 - 11.5083i) q^{53} +(5.54712 - 1.10339i) q^{54} +(-4.71494 + 5.11328i) q^{55} +(-3.19616 - 2.13560i) q^{56} +(2.54006 + 3.80146i) q^{57} +(6.05464 + 1.20434i) q^{58} +(-4.66372 + 1.93178i) q^{59} +(2.93496 + 1.07863i) q^{60} +(-1.54605 - 2.31382i) q^{61} +(-5.12343 + 3.42337i) q^{62} +(3.93796 - 0.783308i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(5.22139 - 8.54427i) q^{65} +(1.66455 - 4.01859i) q^{66} +(6.06731 + 6.06731i) q^{67} +(0.451655 + 4.09829i) q^{68} +3.44793i q^{69} +(8.06782 + 2.96503i) q^{70} +(0.137603 + 0.691778i) q^{71} +1.04452 q^{72} +(0.264501 + 1.32974i) q^{73} +(7.44520 + 1.48094i) q^{74} +(-6.94548 - 0.804608i) q^{75} +(1.25117 + 3.02060i) q^{76} +(4.57565 - 11.0466i) q^{77} +(-1.22168 + 6.14180i) q^{78} +(2.06824 - 10.3977i) q^{79} +(1.90801 + 1.16598i) q^{80} +(3.37674 - 3.37674i) q^{81} +(1.12196 - 1.67914i) q^{82} +(12.3658 - 5.12206i) q^{83} -5.37538 q^{84} +(-3.13208 - 8.67122i) q^{85} -6.30338 q^{86} +(7.97548 - 3.30355i) q^{87} +(1.72811 - 2.58629i) q^{88} +(-4.33737 + 4.33737i) q^{89} +(-2.27040 + 0.548050i) q^{90} +(-3.35825 + 16.8830i) q^{91} +(-0.481024 + 2.41827i) q^{92} +(-3.29748 + 7.96081i) q^{93} +(-3.56311 - 8.60211i) q^{94} +(-4.30448 - 5.90920i) q^{95} +(-1.37152 - 0.272812i) q^{96} +(-1.53704 - 7.72723i) q^{97} -7.77623 q^{98} +(0.633844 + 3.18655i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q+O(q^{10}) $ 32 * q	$ 32 q - 8 q^{10} - 48 q^{15} + 16 q^{18} - 24 q^{25} + 8 q^{26} + 24 q^{27} - 8 q^{28} - 8 q^{29} - 16 q^{30} - 16 q^{31} + 64 q^{33} + 24 q^{34} + 32 q^{35} - 32 q^{37} - 32 q^{39} + 16 q^{41} - 24 q^{42} - 16 q^{43} - 16 q^{44} - 24 q^{45} - 16 q^{49} - 32 q^{50} + 32 q^{51} - 16 q^{52} + 16 q^{53} + 24 q^{54} - 8 q^{55} + 8 q^{56} - 24 q^{57} - 16 q^{58} - 64 q^{59} + 40 q^{60} - 24 q^{61} - 40 q^{62} - 24 q^{63} + 32 q^{65} + 16 q^{67} + 40 q^{70} + 8 q^{71} - 16 q^{72} + 32 q^{73} + 8 q^{74} - 56 q^{75} + 24 q^{77} + 32 q^{78} + 72 q^{79} + 8 q^{80} + 48 q^{81} + 48 q^{82} + 16 q^{83} + 8 q^{85} - 64 q^{86} + 40 q^{87} + 32 q^{88} + 16 q^{89} + 24 q^{90} + 48 q^{91} + 24 q^{92} - 8 q^{93} + 8 q^{94} + 56 q^{95} - 48 q^{97} - 64 q^{99}+O(q^{100}) $ 32 * q - 8 * q^10 - 48 * q^15 + 16 * q^18 - 24 * q^25 + 8 * q^26 + 24 * q^27 - 8 * q^28 - 8 * q^29 - 16 * q^30 - 16 * q^31 + 64 * q^33 + 24 * q^34 + 32 * q^35 - 32 * q^37 - 32 * q^39 + 16 * q^41 - 24 * q^42 - 16 * q^43 - 16 * q^44 - 24 * q^45 - 16 * q^49 - 32 * q^50 + 32 * q^51 - 16 * q^52 + 16 * q^53 + 24 * q^54 - 8 * q^55 + 8 * q^56 - 24 * q^57 - 16 * q^58 - 64 * q^59 + 40 * q^60 - 24 * q^61 - 40 * q^62 - 24 * q^63 + 32 * q^65 + 16 * q^67 + 40 * q^70 + 8 * q^71 - 16 * q^72 + 32 * q^73 + 8 * q^74 - 56 * q^75 + 24 * q^77 + 32 * q^78 + 72 * q^79 + 8 * q^80 + 48 * q^81 + 48 * q^82 + 16 * q^83 + 8 * q^85 - 64 * q^86 + 40 * q^87 + 32 * q^88 + 16 * q^89 + 24 * q^90 + 48 * q^91 + 24 * q^92 - 8 * q^93 + 8 * q^94 + 56 * q^95 - 48 * q^97 - 64 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{3}{4}\right)$

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
$3$	0.776902	−	1.16272i	0.448544	−	0.671294i	−0.536440	−	0.843939i	$-0.680231\pi$
$3$	0.776902	−	1.16272i	0.448544	−	0.671294i	0.984984	+	0.172644i	$0.0552312\pi$
$4$	0.707107	−	0.707107i	0.353553	−	0.353553i
$5$	−1.16598	+	1.90801i	−0.521442	+	0.853287i
$5$	−1.16598	+	1.90801i	−0.521442	+	0.853287i
$6$	0.272812	−	1.37152i	0.111375	−	0.559919i
$7$	0.749924	−	3.77012i	0.283445	−	1.42497i	−0.532297	−	0.846557i	$-0.678671\pi$
$7$	0.749924	−	3.77012i	0.283445	−	1.42497i	0.815742	−	0.578416i	$-0.196329\pi$
$8$	0.382683	−	0.923880i	0.135299	−	0.326641i
$9$	0.399719	+	0.965007i	0.133240	+	0.321669i
$10$	−0.347062	+	2.20897i	−0.109751	+	0.698538i
$11$	3.05074	+	0.606830i	0.919833	+	0.182966i	0.632227	−	0.774783i	$-0.282141\pi$
$11$	3.05074	+	0.606830i	0.919833	+	0.182966i	0.287605	+	0.957749i	$0.407141\pi$
$12$	−0.272812	−	1.37152i	−0.0787539	−	0.395923i
$13$	−4.47811			−1.24200			−0.621002	−	0.783809i	$-0.713274\pi$
$13$	−4.47811			−1.24200			−0.621002	+	0.783809i	$0.713274\pi$
$14$	−0.749924	−	3.77012i	−0.200426	−	1.00761i
$15$	1.31262	+	2.83804i	0.338917	+	0.732778i
$16$		−	1.00000i		−	0.250000i
$17$	−2.57856	+	3.21730i	−0.625393	+	0.780310i
$17$	−2.57856	+	3.21730i	−0.625393	+	0.780310i
$18$	0.738584	+	0.738584i	0.174086	+	0.174086i
$19$	−1.25117	+	3.02060i	−0.287038	+	0.692972i	−0.999966	−	0.00826577i	$-0.997369\pi$
$19$	−1.25117	+	3.02060i	−0.287038	+	0.692972i	0.712927	+	0.701238i	$0.247369\pi$
$20$	0.524693	+	2.17364i	0.117325	+	0.486040i
$21$	−3.80097	−	3.80097i	−0.829439	−	0.829439i
$22$	3.05074	−	0.606830i	0.650420	−	0.129377i
$23$	−2.05011	+	1.36984i	−0.427478	+	0.285632i	−0.750639	−	0.660712i	$-0.770254\pi$
$23$	−2.05011	+	1.36984i	−0.427478	+	0.285632i	0.323161	+	0.946344i	$0.395254\pi$
$24$	−0.776902	−	1.16272i	−0.158584	−	0.237338i
$25$	−2.28098	−	4.44940i	−0.456197	−	0.889879i
$26$	−4.13724	+	1.71370i	−0.811379	+	0.336084i
$27$	5.54712	+	1.10339i	1.06754	+	0.212348i
$28$	−2.13560	−	3.19616i	−0.403591	−	0.604017i
$29$	5.13288	+	3.42968i	0.953151	+	0.636875i	0.931829	−	0.362897i	$-0.118212\pi$
$29$	5.13288	+	3.42968i	0.953151	+	0.636875i	0.0213220	+	0.999773i	$0.493212\pi$
$30$	2.29877	+	2.11969i	0.419696	+	0.387000i
$31$	−6.04350	+	1.20213i	−1.08545	+	0.215908i	−0.705222	−	0.708986i	$-0.749153\pi$
$31$	−6.04350	+	1.20213i	−1.08545	+	0.215908i	−0.380223	+	0.924895i	$0.624153\pi$
$32$	−0.382683	−	0.923880i	−0.0676495	−	0.163320i
$33$	3.07570	−	3.07570i	0.535410	−	0.535410i
$34$	−1.15107	+	3.95917i	−0.197408	+	0.678992i
$35$	6.31903	+	5.82675i	1.06811	+	0.984901i
$36$	0.965007	+	0.399719i	0.160835	+	0.0666198i
$37$	6.31173	+	4.21737i	1.03764	+	0.693331i	0.952966	−	0.303078i	$-0.0980142\pi$
$37$	6.31173	+	4.21737i	1.03764	+	0.693331i	0.0846769	+	0.996408i	$0.473014\pi$
$38$			3.26947i			0.530378i
$39$	−3.47905	+	5.20677i	−0.557094	+	0.833750i
$40$	1.31657	+	1.80739i	0.208168	+	0.285773i
$41$	1.67914	−	1.12196i	0.262237	−	0.175221i	−0.417500	−	0.908677i	$-0.637094\pi$
$41$	1.67914	−	1.12196i	0.262237	−	0.175221i	0.679737	+	0.733456i	$0.262094\pi$
$42$	−4.96620	−	2.05707i	−0.766301	−	0.317412i
$43$	−5.82356	−	2.41220i	−0.888085	−	0.367857i	−0.108458	−	0.994101i	$-0.534591\pi$
$43$	−5.82356	−	2.41220i	−0.888085	−	0.367857i	−0.779627	+	0.626244i	$0.784591\pi$
$44$	2.58629	−	1.72811i	0.389898	−	0.260522i
$45$	−2.30730	−	0.362512i	−0.343953	−	0.0540401i
$46$	−1.36984	+	2.05011i	−0.201972	+	0.302273i
$47$		−	9.31086i		−	1.35813i	−0.734079	−	0.679064i	$-0.762386\pi$
$47$		−	9.31086i		−	1.35813i	0.734079	−	0.679064i	$-0.237614\pi$
$48$	−1.16272	−	0.776902i	−0.167824	−	0.112136i
$49$	−7.18430	−	2.97583i	−1.02633	−	0.425119i
$50$	−3.81006	−	3.23781i	−0.538824	−	0.457896i
$51$	1.73751	+	5.49766i	0.243301	+	0.769826i
$52$	−3.16650	+	3.16650i	−0.439115	+	0.439115i
$53$	−4.76690	−	11.5083i	−0.654784	−	1.58079i	−0.805755	−	0.592249i	$-0.798240\pi$
$53$	−4.76690	−	11.5083i	−0.654784	−	1.58079i	0.150971	−	0.988538i	$-0.451760\pi$
$54$	5.54712	−	1.10339i	0.754868	−	0.150152i
$55$	−4.71494	+	5.11328i	−0.635762	+	0.689475i
$56$	−3.19616	−	2.13560i	−0.427105	−	0.285382i
$57$	2.54006	+	3.80146i	0.336439	+	0.503516i
$58$	6.05464	+	1.20434i	0.795013	+	0.158138i
$59$	−4.66372	+	1.93178i	−0.607165	+	0.251496i	−0.665016	−	0.746829i	$-0.731575\pi$
$59$	−4.66372	+	1.93178i	−0.607165	+	0.251496i	0.0578508	+	0.998325i	$0.481575\pi$
$60$	2.93496	+	1.07863i	0.378901	+	0.139251i
$61$	−1.54605	−	2.31382i	−0.197951	−	0.296255i	0.719193	−	0.694810i	$-0.244512\pi$
$61$	−1.54605	−	2.31382i	−0.197951	−	0.296255i	−0.917144	+	0.398555i	$0.869512\pi$
$62$	−5.12343	+	3.42337i	−0.650677	+	0.434768i
$63$	3.93796	−	0.783308i	0.496136	−	0.0986876i
$64$	−0.707107	−	0.707107i	−0.0883883	−	0.0883883i
$65$	5.22139	−	8.54427i	0.647633	−	1.05979i
$66$	1.66455	−	4.01859i	0.204892	−	0.494654i
$67$	6.06731	+	6.06731i	0.741240	+	0.741240i	0.972817	−	0.231577i	$-0.0743884\pi$
$67$	6.06731	+	6.06731i	0.741240	+	0.741240i	−0.231577	+	0.972817i	$0.574388\pi$
$68$	0.451655	+	4.09829i	0.0547712	+	0.496991i
$69$			3.44793i			0.415082i
$70$	8.06782	+	2.96503i	0.964289	+	0.354389i
$71$	0.137603	+	0.691778i	0.0163305	+	0.0820990i	0.988091	−	0.153870i	$-0.0491737\pi$
$71$	0.137603	+	0.691778i	0.0163305	+	0.0820990i	−0.971761	+	0.235969i	$0.924174\pi$
$72$	1.04452			0.123097
$73$	0.264501	+	1.32974i	0.0309575	+	0.155634i	0.993172	−	0.116658i	$-0.0372182\pi$
$73$	0.264501	+	1.32974i	0.0309575	+	0.155634i	−0.962215	+	0.272292i	$0.912218\pi$
$74$	7.44520	+	1.48094i	0.865487	+	0.172156i
$75$	−6.94548	−	0.804608i	−0.801995	−	0.0929082i
$76$	1.25117	+	3.02060i	0.143519	+	0.346486i
$77$	4.57565	−	11.0466i	0.521444	−	1.25888i
$78$	−1.22168	+	6.14180i	−0.138328	+	0.695422i
$79$	2.06824	−	10.3977i	0.232695	−	1.16984i	−0.670933	−	0.741518i	$-0.734106\pi$
$79$	2.06824	−	10.3977i	0.232695	−	1.16984i	0.903628	−	0.428318i	$-0.140894\pi$
$80$	1.90801	+	1.16598i	0.213322	+	0.130360i
$81$	3.37674	−	3.37674i	0.375194	−	0.375194i
$82$	1.12196	−	1.67914i	0.123900	−	0.185429i
$83$	12.3658	−	5.12206i	1.35732	−	0.562219i	0.418998	−	0.907987i	$-0.362382\pi$
$83$	12.3658	−	5.12206i	1.35732	−	0.562219i	0.938320	+	0.345768i	$0.112382\pi$
$84$	−5.37538			−0.586502
$85$	−3.13208	−	8.67122i	−0.339722	−	0.940526i
$86$	−6.30338			−0.679711
$87$	7.97548	−	3.30355i	0.855061	−	0.354178i
$88$	1.72811	−	2.58629i	0.184217	−	0.275700i
$89$	−4.33737	+	4.33737i	−0.459760	+	0.459760i	−0.898577	−	0.438817i	$-0.855398\pi$
$89$	−4.33737	+	4.33737i	−0.459760	+	0.459760i	0.438817	+	0.898577i	$0.355398\pi$
$90$	−2.27040	+	0.548050i	−0.239321	+	0.0577695i
$91$	−3.35825	+	16.8830i	−0.352040	+	1.76982i
$92$	−0.481024	+	2.41827i	−0.0501502	+	0.252122i
$93$	−3.29748	+	7.96081i	−0.341932	+	0.825498i
$94$	−3.56311	−	8.60211i	−0.367507	−	0.887240i
$95$	−4.30448	−	5.90920i	−0.441630	−	0.606271i
$96$	−1.37152	−	0.272812i	−0.139980	−	0.0278437i
$97$	−1.53704	−	7.72723i	−0.156063	−	0.784582i	−0.976946	−	0.213486i	$-0.931518\pi$
$97$	−1.53704	−	7.72723i	−0.156063	−	0.784582i	0.820883	−	0.571096i	$-0.193482\pi$
$98$	−7.77623			−0.785518
$99$	0.633844	+	3.18655i	0.0637037	+	0.320260i
$100$	−4.75910	−	1.53330i	−0.475910	−	0.153330i
$101$		−	3.99742i		−	0.397758i	−0.980024	−	0.198879i	$-0.936270\pi$
$101$		−	3.99742i		−	0.397758i	0.980024	−	0.198879i	$-0.0637301\pi$
$102$	3.70912	+	4.41426i	0.367257	+	0.437077i
$103$	4.15182	+	4.15182i	0.409091	+	0.409091i	0.881421	−	0.472331i	$-0.156587\pi$
$103$	4.15182	+	4.15182i	0.409091	+	0.409091i	−0.472331	+	0.881421i	$0.656587\pi$
$104$	−1.71370	+	4.13724i	−0.168042	+	0.405689i
$105$	11.6841	−	2.82042i	1.14025	−	0.275245i
$106$	−8.80808	−	8.80808i	−0.855516	−	0.855516i
$107$	6.97638	−	1.38769i	0.674432	−	0.134153i	0.154019	−	0.988068i	$-0.450778\pi$
$107$	6.97638	−	1.38769i	0.674432	−	0.134153i	0.520413	+	0.853915i	$0.325778\pi$
$108$	4.70262	−	3.14219i	0.452510	−	0.302358i
$109$	−9.65423	−	14.4486i	−0.924707	−	1.38392i	−0.923365	−	0.383923i	$-0.874573\pi$
$109$	−9.65423	−	14.4486i	−0.924707	−	1.38392i	−0.00134257	−	0.999999i	$-0.500427\pi$
$110$	−2.39926	+	6.52838i	−0.228761	+	0.622457i
$111$	9.80719	−	4.06227i	0.930858	−	0.385574i
$112$	−3.77012	−	0.749924i	−0.356243	−	0.0708612i
$113$	5.72171	+	8.56314i	0.538253	+	0.805552i	0.996528	−	0.0832581i	$-0.0265326\pi$
$113$	5.72171	+	8.56314i	0.538253	+	0.805552i	−0.458275	+	0.888810i	$0.651533\pi$
$114$	3.80146	+	2.54006i	0.356040	+	0.237898i
$115$	−0.223278	−	5.50884i	−0.0208208	−	0.513702i
$116$	6.05464	−	1.20434i	0.562159	−	0.111820i
$117$	−1.78999	−	4.32141i	−0.165484	−	0.399514i
$118$	−3.56946	+	3.56946i	−0.328595	+	0.328595i
$119$	10.1959	+	12.1342i	0.934656	+	1.11234i
$120$	3.12432	−	0.126631i	0.285210	−	0.0115598i
$121$	−1.22390	−	0.506958i	−0.111264	−	0.0460871i
$122$	−2.31382	−	1.54605i	−0.209484	−	0.139973i
$123$		−	2.82401i		−	0.254633i
$124$	−3.42337	+	5.12343i	−0.307428	+	0.460098i
$125$	11.1491	+	0.835773i	0.997202	+	0.0747538i
$126$	3.33844	−	2.23067i	0.297412	−	0.198724i
$127$	−15.1207	−	6.26321i	−1.34175	−	0.555770i	−0.407765	−	0.913087i	$-0.633692\pi$
$127$	−15.1207	−	6.26321i	−1.34175	−	0.555770i	−0.933983	+	0.357317i	$0.883692\pi$
$128$	−0.923880	−	0.382683i	−0.0816602	−	0.0338248i
$129$	−7.32904	+	4.89711i	−0.645286	+	0.431166i
$130$	1.55418	−	9.89201i	0.136311	−	0.867587i
$131$	0.992476	−	1.48535i	0.0867131	−	0.129775i	−0.785577	−	0.618764i	$-0.787634\pi$
$131$	0.992476	−	1.48535i	0.0867131	−	0.129775i	0.872290	+	0.488988i	$0.162634\pi$
$132$		−	4.34969i		−	0.378592i
$133$	10.4497	+	6.98229i	0.906107	+	0.605441i
$134$	7.92732	+	3.28360i	0.684816	+	0.283660i
$135$	−8.57311	+	9.29742i	−0.737856	+	0.800194i
$136$	1.98562	+	3.61349i	0.170266	+	0.309854i
$137$	−14.9689	+	14.9689i	−1.27888	+	1.27888i	−0.337587	+	0.941294i	$0.609611\pi$
$137$	−14.9689	+	14.9689i	−1.27888	+	1.27888i	−0.941294	+	0.337587i	$0.890389\pi$
$138$	1.31947	+	3.18547i	0.112320	+	0.271165i
$139$	19.2131	−	3.82173i	1.62964	−	0.324155i	0.706231	−	0.707981i	$-0.250394\pi$
$139$	19.2131	−	3.82173i	1.62964	−	0.324155i	0.923405	+	0.383826i	$0.125394\pi$
$140$	8.58836	−	0.348093i	0.725849	−	0.0294193i
$141$	−10.8259	−	7.23362i	−0.911703	−	0.609181i
$142$	0.391861	+	0.586461i	0.0328842	+	0.0492148i
$143$	−13.6616	−	2.71745i	−1.14244	−	0.227245i
$144$	0.965007	−	0.399719i	0.0804173	−	0.0333099i
$145$	−12.5287	+	5.79463i	−1.04045	+	0.481218i
$146$	0.753236	+	1.12730i	0.0623382	+	0.0932957i
$147$	−9.04154	+	6.04137i	−0.745734	+	0.498283i
$148$	7.44520	−	1.48094i	0.611992	−	0.121733i
$149$	10.1263	+	10.1263i	0.829575	+	0.829575i	0.987458	−	0.157883i	$-0.0504668\pi$
$149$	10.1263	+	10.1263i	0.829575	+	0.829575i	−0.157883	+	0.987458i	$0.550467\pi$
$150$	−6.72470	+	1.91456i	−0.549069	+	0.156323i
$151$	−2.26112	+	5.45883i	−0.184007	+	0.444233i	−0.988786	−	0.149342i	$-0.952284\pi$
$151$	−2.26112	+	5.45883i	−0.184007	+	0.444233i	0.804778	+	0.593576i	$0.202284\pi$
$152$	2.31186	+	2.31186i	0.187517	+	0.187517i
$153$	−4.13542	−	1.20232i	−0.334329	−	0.0972014i
$154$		−	11.9567i		−	0.963502i
$155$	4.75293	−	12.9327i	0.381765	−	1.03878i
$156$	1.22168	+	6.14180i	0.0978127	+	0.491738i
$157$	−4.39353			−0.350642			−0.175321	−	0.984511i	$-0.556096\pi$
$157$	−4.39353			−0.350642			−0.175321	+	0.984511i	$0.556096\pi$
$158$	−2.06824	−	10.3977i	−0.164540	−	0.827199i
$159$	−17.0843	−	3.39828i	−1.35487	−	0.269501i
$160$	2.20897	+	0.347062i	0.174634	+	0.0274377i
$161$	3.62704	+	8.75646i	0.285851	+	0.690105i
$162$	1.82748	−	4.41193i	0.143580	−	0.346634i
$163$	−1.12694	+	5.66551i	−0.0882687	+	0.443757i	0.911224	+	0.411911i	$0.135139\pi$
$163$	−1.12694	+	5.66551i	−0.0882687	+	0.443757i	−0.999493	+	0.0318458i	$0.989861\pi$
$164$	0.393981	−	1.98068i	0.0307647	−	0.154665i
$165$	2.28225	+	9.45465i	0.177673	+	0.736043i
$166$	9.46434	−	9.46434i	0.734575	−	0.734575i
$167$	−4.89926	+	7.33226i	−0.379116	+	0.567387i	−0.971133	−	0.238538i	$-0.923332\pi$
$167$	−4.89926	+	7.33226i	−0.379116	+	0.567387i	0.592017	+	0.805925i	$0.298332\pi$
$168$	−4.96620	+	2.05707i	−0.383151	+	0.158706i
$169$	7.05348			0.542575
$170$	−6.21200	−	6.81257i	−0.476438	−	0.522500i
$171$	−3.41501			−0.261153
$172$	−5.82356	+	2.41220i	−0.444042	+	0.183928i
$173$	−10.3016	+	15.4175i	−0.783220	+	1.17217i	0.198175	+	0.980167i	$0.436499\pi$
$173$	−10.3016	+	15.4175i	−0.783220	+	1.17217i	−0.981394	+	0.192004i	$0.938501\pi$
$174$	6.10417	−	6.10417i	0.462756	−	0.462756i
$175$	−18.4853	+	5.26288i	−1.39736	+	0.397836i
$176$	0.606830	−	3.05074i	0.0457415	−	0.229958i
$177$	−1.37715	+	6.92338i	−0.103513	+	0.520393i
$178$	−2.34737	+	5.66704i	−0.175943	+	0.424763i
$179$	2.23171	+	5.38783i	0.166806	+	0.402705i	0.985074	−	0.172132i	$-0.0550655\pi$
$179$	2.23171	+	5.38783i	0.166806	+	0.402705i	−0.818268	+	0.574837i	$0.805066\pi$
$180$	−1.88785	+	1.37518i	−0.140712	+	0.102500i
$181$	11.5249	+	2.29245i	0.856641	+	0.170396i	0.603824	−	0.797118i	$-0.293643\pi$
$181$	11.5249	+	2.29245i	0.856641	+	0.170396i	0.252817	+	0.967514i	$0.418643\pi$
$182$	3.35825	+	16.8830i	0.248930	+	1.25145i
$183$	−3.89145			−0.287664
$184$	0.481024	+	2.41827i	0.0354616	+	0.178277i
$185$	−15.4061	+	7.12547i	−1.13268	+	0.523875i
$186$			8.61672i			0.631809i
$187$	−9.81888	+	8.25039i	−0.718027	+	0.603329i
$188$	−6.58377	−	6.58377i	−0.480171	−	0.480171i
$189$	8.31984	−	20.0859i	0.605180	−	1.46103i
$190$	−6.23817	−	3.81213i	−0.452564	−	0.276561i
$191$	15.4628	+	15.4628i	1.11885	+	1.11885i	0.991911	+	0.126935i	$0.0405139\pi$
$191$	15.4628	+	15.4628i	1.11885	+	1.11885i	0.126935	+	0.991911i	$0.459486\pi$
$192$	−1.37152	+	0.272812i	−0.0989807	+	0.0196885i
$193$	16.0359	−	10.7148i	1.15429	−	0.771270i	0.177214	−	0.984172i	$-0.443291\pi$
$193$	16.0359	−	10.7148i	1.15429	−	0.771270i	0.977074	+	0.212902i	$0.0682915\pi$
$194$	−4.37713	−	6.55083i	−0.314259	−	0.470322i
$195$	−5.87805	−	12.7090i	−0.420936	−	0.910114i
$196$	−7.18430	+	2.97583i	−0.513164	+	0.212560i
$197$	4.30684	+	0.856683i	0.306849	+	0.0610361i	0.346113	−	0.938193i	$-0.387501\pi$
$197$	4.30684	+	0.856683i	0.306849	+	0.0610361i	−0.0392639	+	0.999229i	$0.512501\pi$
$198$	1.80503	+	2.70142i	0.128278	+	0.191982i
$199$	−6.33229	−	4.23110i	−0.448884	−	0.299935i	0.310505	−	0.950572i	$-0.399502\pi$
$199$	−6.33229	−	4.23110i	−0.448884	−	0.299935i	−0.759389	+	0.650637i	$0.774502\pi$
$200$	−4.98360	+	0.404644i	−0.352394	+	0.0286126i
$201$	11.7683	−	2.34085i	0.830069	−	0.165111i
$202$	−1.52975	−	3.69314i	−0.107633	−	0.259848i
$203$	16.7796	−	16.7796i	1.17770	−	1.17770i
$204$	5.11604	+	2.65882i	0.358195	+	0.186155i
$205$	0.182875	+	4.51199i	0.0127725	+	0.315131i
$206$	5.42461	+	2.24695i	0.377951	+	0.156552i
$207$	−2.14138	−	1.43082i	−0.148836	−	0.0994489i
$208$			4.47811i			0.310501i
$209$	−5.64999	+	8.45580i	−0.390818	+	0.584900i
$210$	9.71539	−	7.07705i	0.670426	−	0.488363i
$211$	0.548592	−	0.366558i	0.0377667	−	0.0252349i	−0.536544	−	0.843873i	$-0.680270\pi$
$211$	0.548592	−	0.366558i	0.0377667	−	0.0252349i	0.574310	+	0.818638i	$0.305270\pi$
$212$	−11.5083	−	4.76690i	−0.790394	−	0.327392i
$213$	0.911246	+	0.377450i	0.0624375	+	0.0258625i
$214$	5.91429	−	3.95180i	0.404292	−	0.270140i
$215$	11.3926	−	8.29882i	0.776972	−	0.565975i
$216$	3.14219	−	4.70262i	0.213799	−	0.319973i
$217$			23.6863i			1.60793i
$218$	−14.4486	−	9.65423i	−0.978581	−	0.653867i
$219$	1.75160	+	0.725535i	0.118362	+	0.0490271i
$220$	0.281673	+	6.94960i	0.0189904	+	0.468542i
$221$	11.5471	−	14.4074i	0.776741	−	0.969148i
$222$	7.50610	−	7.50610i	0.503777	−	0.503777i
$223$	−0.772453	−	1.86487i	−0.0517273	−	0.124881i	0.895903	−	0.444249i	$-0.146529\pi$
$223$	−0.772453	−	1.86487i	−0.0517273	−	0.124881i	−0.947631	+	0.319368i	$0.896529\pi$
$224$	−3.77012	+	0.749924i	−0.251902	+	0.0501064i
$225$	3.38195	−	3.97967i	0.225463	−	0.265312i
$226$	8.56314	+	5.72171i	0.569611	+	0.380602i
$227$	1.61792	+	2.42139i	0.107385	+	0.160713i	0.881270	−	0.472613i	$-0.156689\pi$
$227$	1.61792	+	2.42139i	0.107385	+	0.160713i	−0.773885	+	0.633326i	$0.781689\pi$
$228$	4.48413	+	0.891949i	0.296969	+	0.0590708i
$229$	−27.1069	+	11.2281i	−1.79128	+	0.741971i	−0.801742	+	0.597671i	$0.796093\pi$
$229$	−27.1069	+	11.2281i	−1.79128	+	0.741971i	−0.989534	+	0.144300i	$0.953907\pi$
$230$	−2.31442	−	5.00406i	−0.152608	−	0.329958i
$231$	−9.28922	−	13.9023i	−0.611186	−	0.914704i
$232$	5.13288	−	3.42968i	0.336990	−	0.225169i
$233$	−17.3491	+	3.45095i	−1.13658	+	0.226079i	−0.727292	−	0.686328i	$-0.759222\pi$
$233$	−17.3491	+	3.45095i	−1.13658	+	0.226079i	−0.409284	+	0.912407i	$0.634222\pi$
$234$	−3.30746	−	3.30746i	−0.216216	−	0.216216i
$235$	17.7652	+	10.8563i	1.15887	+	0.708185i
$236$	−1.93178	+	4.66372i	−0.125748	+	0.303582i
$237$	−10.4828	−	10.4828i	−0.680930	−	0.680930i
$238$	14.0633	+	7.30877i	0.911591	+	0.473757i
$239$		−	1.88190i		−	0.121730i	−0.998146	−	0.0608649i	$-0.980614\pi$
$239$		−	1.88190i		−	0.121730i	0.998146	−	0.0608649i	$-0.0193859\pi$
$240$	2.83804	−	1.31262i	0.183194	−	0.0847291i
$241$	−1.67640	−	8.42782i	−0.107986	−	0.542883i	−0.996468	−	0.0839718i	$-0.973239\pi$
$241$	−1.67640	−	8.42782i	−0.107986	−	0.542883i	0.888482	−	0.458912i	$-0.151761\pi$
$242$	−1.32474			−0.0851578
$243$	2.00738	+	10.0918i	0.128773	+	0.647387i
$244$	−2.72934	−	0.542900i	−0.174728	−	0.0347556i
$245$	14.0547	−	10.2379i	0.897919	−	0.654077i
$246$	−1.08070	−	2.60905i	−0.0689031	−	0.166347i
$247$	5.60289	−	13.5266i	0.356503	−	0.860675i
$248$	−1.20213	+	6.04350i	−0.0763352	+	0.383763i
$249$	3.65147	−	18.3572i	0.231403	−	1.16334i
$250$	10.6202	−	3.49441i	0.671682	−	0.221006i
$251$	3.25106	−	3.25106i	0.205205	−	0.205205i	−0.597021	−	0.802226i	$-0.703649\pi$
$251$	3.25106	−	3.25106i	0.205205	−	0.205205i	0.802226	+	0.597021i	$0.203649\pi$
$252$	2.23067	−	3.33844i	0.140519	−	0.210302i
$253$	−7.08562	+	2.93496i	−0.445469	+	0.184519i
$254$	−16.3666			−1.02693
$255$	−12.5155	−	3.09497i	−0.783750	−	0.193815i
$256$	−1.00000			−0.0625000
$257$	3.23839	−	1.34139i	0.202005	−	0.0836733i	−0.279387	−	0.960179i	$-0.590131\pi$
$257$	3.23839	−	1.34139i	0.202005	−	0.0836733i	0.481392	+	0.876505i	$0.340131\pi$
$258$	−4.89711	+	7.32904i	−0.304880	+	0.456286i
$259$	20.6333	−	20.6333i	1.28209	−	1.28209i
$260$	−2.34963	−	9.73379i	−0.145718	−	0.603664i
$261$	−1.25796	+	6.32417i	−0.0778655	+	0.391456i
$262$	0.348511	−	1.75208i	0.0215311	−	0.108244i
$263$	1.64204	−	3.96424i	0.101253	−	0.244446i	−0.865133	−	0.501543i	$-0.832766\pi$
$263$	1.64204	−	3.96424i	0.101253	−	0.244446i	0.966386	+	0.257097i	$0.0827660\pi$
$264$	−1.66455	−	4.01859i	−0.102446	−	0.247327i
$265$	27.5160	+	4.32318i	1.69030	+	0.265571i
$266$	12.3263	+	2.45185i	0.755774	+	0.150333i
$267$	1.67342	+	8.41283i	0.102411	+	0.514857i
$268$	8.58047			0.524136
$269$	1.31203	+	6.59601i	0.0799957	+	0.402166i	0.999949	+	0.0101367i	$0.00322667\pi$
$269$	1.31203	+	6.59601i	0.0799957	+	0.402166i	−0.919953	+	0.392029i	$0.871773\pi$
$270$	−4.36255	+	11.8705i	−0.265496	+	0.722414i
$271$		−	10.8714i		−	0.660393i	−0.943912	−	0.330197i	$-0.892885\pi$
$271$		−	10.8714i		−	0.660393i	0.943912	−	0.330197i	$-0.107115\pi$
$272$	3.21730	+	2.57856i	0.195077	+	0.156348i
$273$	17.0211	+	17.0211i	1.03017	+	1.03017i
$274$	−8.10112	+	19.5578i	−0.489407	+	1.18153i
$275$	−4.25866	−	14.9581i	−0.256807	−	0.902008i
$276$	2.43805	+	2.43805i	0.146754	+	0.146754i
$277$	18.3983	−	3.65964i	1.10544	−	0.219887i	0.391562	−	0.920152i	$-0.371935\pi$
$277$	18.3983	−	3.65964i	1.10544	−	0.219887i	0.713883	+	0.700265i	$0.246935\pi$
$278$	16.2881	−	10.8834i	0.976896	−	0.652741i
$279$	−3.57577	−	5.35151i	−0.214075	−	0.320387i
$280$	7.80140	−	3.60822i	0.466223	−	0.215632i
$281$	5.22933	−	2.16606i	0.311955	−	0.129216i	−0.221212	−	0.975226i	$-0.571001\pi$
$281$	5.22933	−	2.16606i	0.311955	−	0.129216i	0.533168	+	0.846009i	$0.321001\pi$
$282$	−12.7700	−	2.54011i	−0.760442	−	0.151261i
$283$	−5.18618	−	7.76167i	−0.308286	−	0.461383i	0.644683	−	0.764450i	$-0.276989\pi$
$283$	−5.18618	−	7.76167i	−0.308286	−	0.461383i	−0.952969	+	0.303067i	$0.901989\pi$
$284$	0.586461	+	0.391861i	0.0348001	+	0.0232527i
$285$	−10.2149	+	0.414017i	−0.605077	+	0.0245243i
$286$	−13.6616	+	2.71745i	−0.807824	+	0.160686i
$287$	−2.97071	−	7.17194i	−0.175356	−	0.423346i
$288$	0.738584	−	0.738584i	0.0435215	−	0.0435215i
$289$	−3.70203	−	16.5920i	−0.217767	−	0.976001i
$290$	−9.35748	+	10.1481i	−0.549490	+	0.595914i
$291$	−10.1787	−	4.21616i	−0.596686	−	0.247156i
$292$	1.12730	+	0.753236i	0.0659700	+	0.0440798i
$293$			3.55592i			0.207739i	0.994591	+	0.103869i	$0.0331224\pi$
$293$			3.55592i			0.207739i	−0.994591	+	0.103869i	$0.966878\pi$
$294$	−6.04137	+	9.04154i	−0.352340	+	0.527313i
$295$	1.75196	−	11.1508i	0.102003	−	0.649226i
$296$	6.31173	−	4.21737i	0.366862	−	0.245129i
$297$	16.2533	+	6.73232i	0.943109	+	0.390649i
$298$	13.2306	+	5.48029i	0.766428	+	0.317465i
$299$	9.18063	−	6.13430i	0.530930	−	0.354756i
$300$	−5.48014	+	4.34225i	−0.316396	+	0.250700i
$301$	−13.4615	+	20.1466i	−0.775909	+	1.16123i
$302$			5.90860i			0.340002i
$303$	−4.64787	−	3.10560i	−0.267013	−	0.178412i
$304$	3.02060	+	1.25117i	0.173243	+	0.0717596i
$305$	6.21745	−	0.251999i	0.356010	−	0.0144294i
$306$	−4.28073	+	0.471761i	−0.244713	+	0.0269688i
$307$	−2.35860	+	2.35860i	−0.134612	+	0.134612i	−0.771202	−	0.636590i	$-0.780344\pi$
$307$	−2.35860	+	2.35860i	−0.134612	+	0.134612i	0.636590	+	0.771202i	$0.280344\pi$
$308$	−4.57565	−	11.0466i	−0.260722	−	0.629438i
$309$	8.05294	−	1.60183i	0.458116	−	0.0911249i
$310$	−0.557993	−	13.7671i	−0.0316919	−	0.781920i
$311$	26.6480	+	17.8056i	1.51107	+	1.00966i	0.987489	+	0.157685i	$0.0504031\pi$
$311$	26.6480	+	17.8056i	1.51107	+	1.00966i	0.523578	+	0.851978i	$0.324597\pi$
$312$	3.47905	+	5.20677i	0.196963	+	0.294775i
$313$	2.00483	+	0.398786i	0.113320	+	0.0225407i	0.251424	−	0.967877i	$-0.419101\pi$
$313$	2.00483	+	0.398786i	0.113320	+	0.0225407i	−0.138105	+	0.990418i	$0.544101\pi$
$314$	−4.05909	+	1.68133i	−0.229068	+	0.0948830i
$315$	−3.09702	+	8.42697i	−0.174497	+	0.474806i
$316$	−5.88984	−	8.81477i	−0.331329	−	0.495869i
$317$	−15.9227	+	10.6392i	−0.894307	+	0.597557i	−0.915544	−	0.402218i	$-0.868240\pi$
$317$	−15.9227	+	10.6392i	−0.894307	+	0.597557i	0.0212371	+	0.999774i	$0.493240\pi$
$318$	−17.0843	+	3.39828i	−0.958040	+	0.190566i
$319$	13.5778	+	13.5778i	0.760213	+	0.760213i
$320$	2.17364	−	0.524693i	0.121510	−	0.0293312i
$321$	3.80647	−	9.18964i	0.212457	−	0.512916i
$322$	6.70190	+	6.70190i	0.373482	+	0.373482i
$323$	−6.49194	−	11.8142i	−0.361221	−	0.657359i
$324$		−	4.77544i		−	0.265302i
$325$	10.2145	+	19.9249i	0.566598	+	1.10523i
$326$	1.12694	+	5.66551i	0.0624154	+	0.313783i
$327$	−24.3000			−1.34379
$328$	−0.393981	−	1.98068i	−0.0217539	−	0.109364i
$329$	−35.1031	−	6.98244i	−1.93530	−	0.384954i
$330$	5.72666	+	7.86158i	0.315242	+	0.432765i
$331$	0.926265	+	2.23620i	0.0509121	+	0.122913i	0.947289	−	0.320379i	$-0.103810\pi$
$331$	0.926265	+	2.23620i	0.0509121	+	0.122913i	−0.896377	+	0.443292i	$0.853810\pi$
$332$	5.12206	−	12.3658i	0.281110	−	0.678659i
$333$	−1.54687	+	7.77663i	−0.0847678	+	0.426157i
$334$	−1.72039	+	8.64899i	−0.0941356	+	0.473252i
$335$	−18.6508	+	4.50211i	−1.01900	+	0.245977i
$336$	−3.80097	+	3.80097i	−0.207360	+	0.207360i
$337$	8.75882	−	13.1085i	0.477123	−	0.714065i	−0.512351	−	0.858776i	$-0.671225\pi$
$337$	8.75882	−	13.1085i	0.477123	−	0.714065i	0.989474	+	0.144711i	$0.0462252\pi$
$338$	6.51657	−	2.69925i	0.354454	−	0.146820i
$339$	14.4017			0.782193
$340$	−8.34619	−	3.91677i	−0.452636	−	0.212416i
$341$	−19.1666			−1.03793
$342$	−3.15506	+	1.30687i	−0.170606	+	0.0706674i
$343$	−1.65772	+	2.48095i	−0.0895083	+	0.133959i
$344$	−4.45716	+	4.45716i	−0.240314	+	0.240314i
$345$	−6.57867	−	4.02022i	−0.354184	−	0.216441i
$346$	−3.61746	+	18.1862i	−0.194476	+	0.977695i
$347$	3.16935	−	15.9334i	0.170140	−	0.855349i	−0.797559	−	0.603241i	$-0.793876\pi$
$347$	3.16935	−	15.9334i	0.170140	−	0.855349i	0.967699	−	0.252109i	$-0.0811241\pi$
$348$	3.30355	−	7.97548i	0.177089	−	0.427531i
$349$	3.56602	+	8.60914i	0.190885	+	0.460837i	0.990127	−	0.140172i	$-0.0447656\pi$
$349$	3.56602	+	8.60914i	0.190885	+	0.460837i	−0.799242	+	0.601009i	$0.794766\pi$
$350$	−15.0642	+	11.9363i	−0.805216	+	0.638022i
$351$	−24.8406	−	4.94111i	−1.32589	−	0.263737i
$352$	−0.606830	−	3.05074i	−0.0323441	−	0.162605i
$353$	−25.7633			−1.37124			−0.685620	−	0.727960i	$-0.740469\pi$
$353$	−25.7633			−1.37124			−0.685620	+	0.727960i	$0.740469\pi$
$354$	1.37715	+	6.92338i	0.0731945	+	0.367974i
$355$	−1.48036	−	0.544052i	−0.0785694	−	0.0288753i
$356$			6.13396i			0.325099i
$357$	22.0299	−	2.42782i	1.16594	−	0.128494i
$358$	4.12366	+	4.12366i	0.217942	+	0.217942i
$359$	−0.970653	+	2.34336i	−0.0512291	+	0.123678i	−0.947422	−	0.319986i	$-0.896322\pi$
$359$	−0.970653	+	2.34336i	−0.0512291	+	0.123678i	0.896193	+	0.443664i	$0.146322\pi$
$360$	−1.21788	+	1.99294i	−0.0641882	+	0.105037i
$361$	5.87646	+	5.87646i	0.309288	+	0.309288i
$362$	11.5249	−	2.29245i	0.605737	−	0.120489i
$363$	−1.54030	+	1.02920i	−0.0808449	+	0.0540188i
$364$	9.56347	+	14.3127i	0.501262	+	0.750192i
$365$	−2.84555	−	1.04578i	−0.148943	−	0.0547384i
$366$	−3.59523	+	1.48919i	−0.187926	+	0.0778413i
$367$	−31.9414	−	6.35353i	−1.66733	−	0.331652i	−0.730891	−	0.682494i	$-0.760895\pi$
$367$	−31.9414	−	6.35353i	−1.66733	−	0.331652i	−0.936435	+	0.350842i	$0.885895\pi$
$368$	1.36984	+	2.05011i	0.0714079	+	0.106869i
$369$	1.75388	+	1.17191i	0.0913035	+	0.0610071i
$370$	−11.5066	+	12.4787i	−0.598200	+	0.648739i
$371$	−46.9626	+	9.34143i	−2.43817	+	0.484983i
$372$	3.29748	+	7.96081i	0.170966	+	0.412749i
$373$	2.28926	−	2.28926i	0.118533	−	0.118533i	−0.645352	−	0.763885i	$-0.723289\pi$
$373$	2.28926	−	2.28926i	0.118533	−	0.118533i	0.763885	+	0.645352i	$0.223289\pi$
$374$	−5.91417	+	11.3799i	−0.305814	+	0.588440i
$375$	9.63349	−	12.3139i	0.497471	−	0.635886i
$376$	−8.60211	−	3.56311i	−0.443620	−	0.183753i
$377$	−22.9856	−	15.3585i	−1.18382	−	0.791002i
$378$		−	21.7408i		−	1.11823i
$379$	4.37304	−	6.54471i	0.224628	−	0.336179i	−0.701988	−	0.712189i	$-0.747704\pi$
$379$	4.37304	−	6.54471i	0.224628	−	0.336179i	0.926616	+	0.376009i	$0.122704\pi$
$380$	−7.22216	−	1.13471i	−0.370489	−	0.0582093i
$381$	−19.0297	+	12.7152i	−0.974919	+	0.651420i
$382$	20.2031	+	8.36838i	1.03368	+	0.428164i
$383$	−9.45644	−	3.91699i	−0.483202	−	0.200149i	0.127766	−	0.991804i	$-0.459219\pi$
$383$	−9.45644	−	3.91699i	−0.483202	−	0.200149i	−0.610968	+	0.791656i	$0.709219\pi$
$384$	−1.16272	+	0.776902i	−0.0593346	+	0.0396461i
$385$	15.7419	+	21.6105i	0.802280	+	1.10137i
$386$	10.7148	−	16.0359i	0.545371	−	0.816205i
$387$		−	6.58398i		−	0.334683i
$388$	−6.55083	−	4.37713i	−0.332568	−	0.222215i
$389$	21.3724	+	8.85275i	1.08362	+	0.448852i	0.851779	−	0.523901i	$-0.175524\pi$
$389$	21.3724	+	8.85275i	1.08362	+	0.448852i	0.231845	+	0.972753i	$0.425524\pi$
$390$	−10.2942	−	9.49219i	−0.521265	−	0.480656i
$391$	0.879153	−	10.1280i	0.0444607	−	0.512197i
$392$	−5.49862	+	5.49862i	−0.277722	+	0.277722i
$393$	−0.955978	−	2.30794i	−0.0482227	−	0.116420i
$394$	4.30684	−	0.856683i	0.216975	−	0.0431591i
$395$	17.4274	+	16.0698i	0.876869	+	0.808557i
$396$	2.70142	+	1.80503i	0.135752	+	0.0907064i
$397$	18.7005	+	27.9873i	0.938553	+	1.40464i	0.914345	+	0.404937i	$0.132706\pi$
$397$	18.7005	+	27.9873i	0.938553	+	1.40464i	0.0242080	+	0.999707i	$0.492294\pi$
$398$	−7.46944	−	1.48576i	−0.374409	−	0.0744746i
$399$	16.2368	−	6.72552i	0.812859	−	0.336697i
$400$	−4.44940	+	2.28098i	−0.222470	+	0.114049i
$401$	−15.1257	−	22.6371i	−0.755339	−	1.13044i	−0.987477	−	0.157762i	$-0.949572\pi$
$401$	−15.1257	−	22.6371i	−0.755339	−	1.13044i	0.232138	−	0.972683i	$-0.425428\pi$
$402$	9.97665	−	6.66618i	0.497590	−	0.332479i
$403$	27.0635	−	5.38326i	1.34813	−	0.268159i
$404$	−2.82660	−	2.82660i	−0.140629	−	0.140629i
$405$	2.50564	+	10.3801i	0.124506	+	0.515790i
$406$	9.08104	−	21.9236i	0.450685	−	1.08805i
$407$	16.6962	+	16.6962i	0.827602	+	0.827602i
$408$	5.74409	+	0.498609i	0.284375	+	0.0246848i
$409$			10.5594i			0.522128i	0.965322	+	0.261064i	$0.0840734\pi$
$409$			10.5594i			0.522128i	−0.965322	+	0.261064i	$0.915927\pi$
$410$	1.89562	+	4.09855i	0.0936178	+	0.202413i
$411$	5.77522	+	29.0340i	0.284870	+	1.43214i
$412$	5.87156			0.289271
$413$	3.78560	+	19.0315i	0.186277	+	0.936479i
$414$	−2.52592	−	0.502438i	−0.124142	−	0.0246935i
$415$	−4.64528	+	29.5662i	−0.228028	+	1.45135i
$416$	1.71370	+	4.13724i	0.0840210	+	0.202845i
$417$	10.4831	−	25.3085i	0.513361	−	1.23936i
$418$	−1.98401	+	9.97430i	−0.0970412	+	0.487859i
$419$	2.29101	−	11.5177i	0.111923	−	0.562675i	−0.883607	−	0.468229i	$-0.844892\pi$
$419$	2.29101	−	11.5177i	0.111923	−	0.562675i	0.995530	−	0.0944456i	$-0.0301078\pi$
$420$	6.26758	−	10.2563i	0.305827	−	0.500454i
$421$	22.6869	−	22.6869i	1.10569	−	1.10569i	0.111984	−	0.993710i	$-0.464279\pi$
$421$	22.6869	−	22.6869i	1.10569	−	1.10569i	0.993710	−	0.111984i	$-0.0357205\pi$
$422$	0.366558	−	0.548592i	0.0178438	−	0.0267051i
$423$	8.98504	−	3.72173i	0.436868	−	0.180957i
$424$	−12.4565			−0.604941
$425$	20.1967	+	4.13444i	0.979684	+	0.200550i
$426$	0.986325			0.0477876
$427$	−9.88282	+	4.09360i	−0.478263	+	0.198103i
$428$	3.95180	−	5.91429i	0.191017	−	0.285878i
$429$	−13.7733	+	13.7733i	−0.664981	+	0.664981i
$430$	7.34961	−	12.0269i	0.354430	−	0.579988i
$431$	4.72263	−	23.7422i	0.227481	−	1.14362i	−0.683110	−	0.730315i	$-0.739373\pi$
$431$	4.72263	−	23.7422i	0.227481	−	1.14362i	0.910591	−	0.413308i	$-0.135627\pi$
$432$	1.10339	−	5.54712i	0.0530869	−	0.266886i
$433$	11.5643	−	27.9188i	0.555747	−	1.34169i	−0.357359	−	0.933967i	$-0.616323\pi$
$433$	11.5643	−	27.9188i	0.555747	−	1.34169i	0.913105	−	0.407724i	$-0.133677\pi$
$434$	9.06434	+	21.8833i	0.435102	+	1.05043i
$435$	−2.99605	+	19.0691i	−0.143649	+	0.914296i
$436$	−17.0433	−	3.39011i	−0.816224	−	0.162357i
$437$	−1.57269	−	7.90646i	−0.0752321	−	0.378217i
$438$	1.89592			0.0905903
$439$	2.18368	+	10.9781i	0.104221	+	0.523956i	0.997260	+	0.0739763i	$0.0235689\pi$
$439$	2.18368	+	10.9781i	0.104221	+	0.523956i	−0.893039	+	0.449980i	$0.851431\pi$
$440$	2.91973	+	6.31280i	0.139193	+	0.300951i
$441$		−	8.12240i		−	0.386781i
$442$	5.15464	−	17.7296i	0.245181	−	0.843311i
$443$	−13.4586	−	13.4586i	−0.639435	−	0.639435i	0.310981	−	0.950416i	$-0.399342\pi$
$443$	−13.4586	−	13.4586i	−0.639435	−	0.639435i	−0.950416	+	0.310981i	$0.899342\pi$
$444$	4.06227	−	9.80719i	0.192787	−	0.465429i
$445$	−3.21845	−	13.3330i	−0.152569	−	0.632045i
$446$	−1.42731	−	1.42731i	−0.0675850	−	0.0675850i
$447$	19.6411	−	3.90685i	0.928990	−	0.184788i
$448$	−3.19616	+	2.13560i	−0.151004	+	0.100898i
$449$	15.1526	+	22.6775i	0.715095	+	1.07022i	0.993945	+	0.109881i	$0.0350468\pi$
$449$	15.1526	+	22.6775i	0.715095	+	1.07022i	−0.278850	+	0.960335i	$0.589953\pi$
$450$	1.60156	−	4.97095i	0.0754981	−	0.234333i
$451$	5.80344	−	2.40387i	0.273274	−	0.113194i
$452$	10.1009	+	2.00920i	0.475107	+	0.0945046i
$453$	4.59040	+	6.87002i	0.215676	+	0.322782i
$454$	2.42139	+	1.61792i	0.113641	+	0.0759327i
$455$	−28.2973	−	26.0928i	−1.32660	−	1.22325i
$456$	4.48413	−	0.891949i	0.209989	−	0.0417693i
$457$	−4.15404	−	10.0287i	−0.194318	−	0.469125i	0.796448	−	0.604707i	$-0.206710\pi$
$457$	−4.15404	−	10.0287i	−0.194318	−	0.469125i	−0.990766	+	0.135582i	$0.956710\pi$
$458$	−20.7467	+	20.7467i	−0.969431	+	0.969431i
$459$	−17.8535	+	15.0016i	−0.833332	+	0.700214i
$460$	−4.05322	−	3.73745i	−0.188982	−	0.174260i
$461$	−11.7029	−	4.84751i	−0.545059	−	0.225771i	0.0931253	−	0.995654i	$-0.470314\pi$
$461$	−11.7029	−	4.84751i	−0.545059	−	0.225771i	−0.638184	+	0.769884i	$0.720314\pi$
$462$	−13.9023	−	9.28922i	−0.646793	−	0.432173i
$463$			40.7310i			1.89293i	0.322803	+	0.946466i	$0.395375\pi$
$463$			40.7310i			1.89293i	−0.322803	+	0.946466i	$0.604625\pi$
$464$	3.42968	−	5.13288i	0.159219	−	0.238288i
$465$	−11.3445	−	15.5738i	−0.526088	−	0.722215i
$466$	−14.7078	+	9.82747i	−0.681328	+	0.455249i
$467$	25.7761	+	10.6768i	1.19277	+	0.494063i	0.888657	−	0.458572i	$-0.151639\pi$
$467$	25.7761	+	10.6768i	1.19277	+	0.494063i	0.304117	+	0.952635i	$0.401639\pi$
$468$	−4.32141	−	1.78999i	−0.199757	−	0.0827421i
$469$	27.4245	−	18.3245i	1.26635	−	0.846146i
$470$	20.5674	+	3.23144i	0.948704	+	0.149055i
$471$	−3.41334	+	5.10843i	−0.157278	+	0.235384i
$472$			5.04798i			0.232352i
$473$	−16.3024	−	10.8929i	−0.749584	−	0.500856i
$474$	−13.6964	−	5.67324i	−0.629097	−	0.260581i
$475$	16.2937	−	1.32297i	0.747607	−	0.0607020i
$476$	15.7898	+	1.37061i	0.723724	+	0.0628220i
$477$	9.20018	−	9.20018i	0.421247	−	0.421247i
$478$	−0.720171	−	1.73865i	−0.0329398	−	0.0795238i
$479$	−8.99363	+	1.78894i	−0.410929	+	0.0817389i	−0.396226	−	0.918153i	$-0.629680\pi$
$479$	−8.99363	+	1.78894i	−0.410929	+	0.0817389i	−0.0147033	+	0.999892i	$0.504680\pi$
$480$	2.11969	−	2.29877i	0.0967500	−	0.104924i
$481$	−28.2646	−	18.8858i	−1.28876	−	0.861120i
$482$	−4.77398	−	7.14476i	−0.217449	−	0.325435i
$483$	12.9991	+	2.58569i	0.591481	+	0.117653i
$484$	−1.22390	+	0.506958i	−0.0556320	+	0.0230435i
$485$	16.5358	+	6.07711i	0.750851	+	0.275947i
$486$	5.71653	+	8.55539i	0.259307	+	0.388080i
$487$	−18.4824	+	12.3496i	−0.837518	+	0.559612i	−0.898725	−	0.438513i	$-0.855505\pi$
$487$	−18.4824	+	12.3496i	−0.837518	+	0.559612i	0.0612064	+	0.998125i	$0.480505\pi$
$488$	−2.72934	+	0.542900i	−0.123551	+	0.0245759i
$489$	5.71185	+	5.71185i	0.258299	+	0.258299i
$490$	9.06692	−	14.8371i	0.409602	−	0.670272i
$491$	5.38966	−	13.0118i	0.243232	−	0.587214i	−0.754368	−	0.656451i	$-0.772057\pi$
$491$	5.38966	−	13.0118i	0.243232	−	0.587214i	0.997600	+	0.0692377i	$0.0220567\pi$
$492$	−1.99688	−	1.99688i	−0.0900262	−	0.0900262i
$493$	−24.2697	+	7.67036i	−1.09305	+	0.345456i
$494$		−	14.6410i		−	0.658732i
$495$	−6.81900	−	2.50607i	−0.306491	−	0.112640i
$496$	1.20213	+	6.04350i	0.0539771	+	0.271361i
$497$	2.71128			0.121618
$498$	−3.65147	−	18.3572i	−0.163626	−	0.822606i
$499$	−43.5600	−	8.66463i	−1.95002	−	0.387882i	−0.996152	−	0.0876395i	$-0.972068\pi$
$499$	−43.5600	−	8.66463i	−1.95002	−	0.387882i	−0.953863	−	0.300243i	$-0.902932\pi$
$500$	8.47455	−	7.29259i	0.378994	−	0.326135i
$501$	4.71909	+	11.3929i	0.210833	+	0.508997i
$502$	1.75946	−	4.24772i	0.0785287	−	0.189585i
$503$	3.81451	−	19.1768i	0.170080	−	0.855052i	−0.797661	−	0.603106i	$-0.793929\pi$
$503$	3.81451	−	19.1768i	0.170080	−	0.855052i	0.967741	−	0.251946i	$-0.0810705\pi$
$504$	0.783308	−	3.93796i	0.0348913	−	0.175411i
$505$	7.62711	+	4.66091i	0.339402	+	0.207408i
$506$	−5.42310	+	5.42310i	−0.241086	+	0.241086i
$507$	5.47986	−	8.20119i	0.243369	−	0.364228i
$508$	−15.1207	+	6.26321i	−0.670874	+	0.277885i
$509$	−28.2354			−1.25151			−0.625755	−	0.780019i	$-0.715209\pi$
$509$	−28.2354			−1.25151			−0.625755	+	0.780019i	$0.715209\pi$
$510$	−12.7472	+	1.93009i	−0.564455	+	0.0854658i
$511$	5.21163			0.230549
$512$	−0.923880	+	0.382683i	−0.0408301	+	0.0169124i
$513$	−10.2733	+	15.3751i	−0.453577	+	0.678826i
$514$	2.47856	−	2.47856i	0.109324	−	0.109324i
$515$	−12.7626	+	3.08076i	−0.562389	+	0.135755i
$516$	−1.71963	+	8.64519i	−0.0757027	+	0.380583i
$517$	5.65011	−	28.4050i	0.248491	−	1.24925i
$518$	11.1667	−	26.9587i	0.490635	−	1.18450i
$519$	9.92280	+	23.9558i	0.435563	+	1.05154i
$520$	−5.89574	−	8.09368i	−0.258545	−	0.354931i
$521$	−6.12588	−	1.21851i	−0.268380	−	0.0533841i	0.0590658	−	0.998254i	$-0.481188\pi$
$521$	−6.12588	−	1.21851i	−0.268380	−	0.0533841i	−0.327446	+	0.944870i	$0.606188\pi$
$522$	1.25796	+	6.32417i	0.0550592	+	0.276801i
$523$	37.7014			1.64857			0.824284	−	0.566177i	$-0.191578\pi$
$523$	37.7014			1.64857			0.824284	+	0.566177i	$0.191578\pi$
$524$	−0.348511	−	1.75208i	−0.0152248	−	0.0765402i
$525$	−8.24206	+	25.5819i	−0.359713	+	1.11649i
$526$		−	4.29086i		−	0.187091i
$527$	11.7159	−	22.5435i	0.510355	−	0.982011i
$528$	−3.07570	−	3.07570i	−0.133852	−	0.133852i
$529$	−6.47522	+	15.6326i	−0.281531	+	0.679677i
$530$	27.0759	−	6.53584i	1.17610	−	0.283899i
$531$	−3.72836	−	3.72836i	−0.161797	−	0.161797i
$532$	12.3263	−	2.45185i	0.534413	−	0.106301i
$533$	−7.51935	+	5.02427i	−0.325699	+	0.217625i
$534$	4.76549	+	7.13206i	0.206223	+	0.308634i
$535$	−5.48660	+	14.9290i	−0.237206	+	0.645437i
$536$	7.92732	−	3.28360i	0.342408	−	0.141830i
$537$	7.99833	+	1.59097i	0.345153	+	0.0686553i
$538$	3.73634	+	5.59182i	0.161085	+	0.241081i
$539$	−20.1116	−	13.4381i	−0.866268	−	0.578822i
$540$	0.512163	+	12.6364i	0.0220400	+	0.543783i
$541$	14.5728	−	2.89870i	0.626532	−	0.124625i	0.128395	−	0.991723i	$-0.459018\pi$
$541$	14.5728	−	2.89870i	0.626532	−	0.124625i	0.498137	+	0.867098i	$0.334018\pi$
$542$	−4.16032	−	10.0439i	−0.178701	−	0.431423i
$543$	11.6192	−	11.6192i	0.498628	−	0.498628i
$544$	3.95917	+	1.15107i	0.169748	+	0.0493519i
$545$	38.8246	−	1.57359i	1.66306	−	0.0674054i
$546$	22.2392	+	9.21178i	0.951750	+	0.394228i
$547$	1.01913	+	0.680964i	0.0435751	+	0.0291159i	0.577167	−	0.816626i	$-0.304158\pi$
$547$	1.01913	+	0.680964i	0.0435751	+	0.0291159i	−0.533592	+	0.845742i	$0.679158\pi$
$548$			21.1692i			0.904306i
$549$	1.61487	−	2.41683i	0.0689211	−	0.103148i
$550$	−9.65871	−	12.1898i	−0.411849	−	0.519774i
$551$	−16.7818	+	11.2132i	−0.714928	+	0.477699i
$552$	3.18547	+	1.31947i	0.135583	+	0.0561602i
$553$	−37.6497	−	15.5950i	−1.60103	−	0.663168i
$554$	15.5973	−	10.4218i	0.662665	−	0.442779i
$555$	−3.68414	+	23.4487i	−0.156383	+	0.995343i
$556$	10.8834	−	16.2881i	0.461557	−	0.690770i
$557$			40.5743i			1.71919i	0.510977	+	0.859594i	$0.329284\pi$
$557$			40.5743i			1.71919i	−0.510977	+	0.859594i	$0.670716\pi$
$558$	−5.35151	−	3.57577i	−0.226548	−	0.151374i
$559$	26.0786	+	10.8021i	1.10301	+	0.456880i
$560$	5.82675	−	6.31903i	0.246225	−	0.267028i
$561$	1.96456	+	17.8263i	0.0829438	+	0.752627i
$562$	4.00235	−	4.00235i	0.168829	−	0.168829i
$563$	8.41290	+	20.3105i	0.354561	+	0.855987i	0.996045	+	0.0888501i	$0.0283192\pi$
$563$	8.41290	+	20.3105i	0.354561	+	0.855987i	−0.641484	+	0.767137i	$0.721681\pi$
$564$	−12.7700	+	2.54011i	−0.537714	+	0.106958i
$565$	−23.0099	+	0.932611i	−0.968035	+	0.0392353i
$566$	−7.76167	−	5.18618i	−0.326247	−	0.217991i
$567$	−10.1984	−	15.2631i	−0.428294	−	0.640988i
$568$	0.691778	+	0.137603i	0.0290264	+	0.00577371i
$569$	22.0576	−	9.13655i	0.924702	−	0.383024i	0.131036	−	0.991378i	$-0.458170\pi$
$569$	22.0576	−	9.13655i	0.924702	−	0.383024i	0.793666	+	0.608353i	$0.208170\pi$
$570$	−9.27887	+	4.29156i	−0.388649	+	0.179754i
$571$	20.4340	+	30.5816i	0.855135	+	1.27980i	0.958481	+	0.285155i	$0.0920451\pi$
$571$	20.4340	+	30.5816i	0.855135	+	1.27980i	−0.103346	+	0.994645i	$0.532955\pi$
$572$	−11.5817	+	7.73865i	−0.484255	+	0.323569i
$573$	29.9918	−	5.96575i	1.25293	−	0.249223i
$574$	−5.48916	−	5.48916i	−0.229113	−	0.229113i
$575$	10.7712	+	5.99717i	0.449192	+	0.250099i
$576$	0.399719	−	0.965007i	0.0166550	−	0.0402086i
$577$	−4.10465	−	4.10465i	−0.170879	−	0.170879i	0.616487	−	0.787365i	$-0.288555\pi$
$577$	−4.10465	−	4.10465i	−0.170879	−	0.170879i	−0.787365	+	0.616487i	$0.788555\pi$
$578$	−9.76972	−	13.9123i	−0.406367	−	0.578676i
$579$		−	26.9695i		−	1.12082i
$580$	−4.76169	+	12.9565i	−0.197718	+	0.537991i
$581$	−10.0374	−	50.4616i	−0.416423	−	2.09350i
$582$	−11.0174			−0.456684
$583$	−7.55898	−	38.0015i	−0.313061	−	1.57386i
$584$	1.32974	+	0.264501i	0.0550249	+	0.0109451i
$585$	10.3324	+	1.62337i	0.427191	+	0.0671180i
$586$	1.36079	+	3.28524i	0.0562138	+	0.135712i
$587$	−17.2674	+	41.6871i	−0.712700	+	1.72061i	−0.0195591	+	0.999809i	$0.506226\pi$
$587$	−17.2674	+	41.6871i	−0.712700	+	1.72061i	−0.693141	+	0.720802i	$0.743774\pi$
$588$	−2.12145	+	10.6652i	−0.0874869	+	0.439826i
$589$	3.93032	−	19.7590i	0.161946	−	0.814157i
$590$	−2.64864	−	10.9725i	−0.109043	−	0.451729i
$591$	4.34207	−	4.34207i	0.178609	−	0.178609i
$592$	4.21737	−	6.31173i	0.173333	−	0.259411i
$593$	−3.46181	+	1.43393i	−0.142159	+	0.0588844i	−0.452629	−	0.891699i	$-0.649514\pi$
$593$	−3.46181	+	1.43393i	−0.142159	+	0.0588844i	0.310469	+	0.950583i	$0.399514\pi$
$594$	17.5924			0.721825
$595$	−35.0404	+	5.30557i	−1.43652	+	0.217507i
$596$	14.3207			0.586598
$597$	−9.83913	+	4.07550i	−0.402689	+	0.166799i
$598$	6.13430	−	9.18063i	0.250850	−	0.375424i
$599$	22.5965	−	22.5965i	0.923269	−	0.923269i	−0.0739898	−	0.997259i	$-0.523573\pi$
$599$	22.5965	−	22.5965i	0.923269	−	0.923269i	0.997259	+	0.0739898i	$0.0235732\pi$
$600$	−3.40128	+	6.10888i	−0.138857	+	0.249394i
$601$	−4.26700	+	21.4517i	−0.174055	+	0.875032i	0.790765	+	0.612120i	$0.209683\pi$
$601$	−4.26700	+	21.4517i	−0.174055	+	0.875032i	−0.964820	+	0.262912i	$0.915317\pi$
$602$	−4.72706	+	23.7645i	−0.192660	+	0.968570i
$603$	−3.42978	+	8.28022i	−0.139671	+	0.337196i
$604$	2.26112	+	5.45883i	0.0920037	+	0.222117i
$605$	2.39433	−	1.74412i	0.0973432	−	0.0709084i
$606$	−5.48253	−	1.09054i	−0.222713	−	0.0443003i
$607$	−7.06590	−	35.5227i	−0.286796	−	1.44182i	−0.808400	−	0.588633i	$-0.799666\pi$
$607$	−7.06590	−	35.5227i	−0.286796	−	1.44182i	0.521604	−	0.853187i	$-0.325334\pi$
$608$	3.26947			0.132594
$609$	−6.47380	−	32.5460i	−0.262331	−	1.31883i
$610$	5.64774	−	2.61213i	0.228670	−	0.105762i
$611$			41.6951i			1.68680i
$612$	−3.77435	+	2.07402i	−0.152569	+	0.0838371i
$613$	−13.5967	−	13.5967i	−0.549166	−	0.549166i	0.377033	−	0.926200i	$-0.376944\pi$
$613$	−13.5967	−	13.5967i	−0.549166	−	0.549166i	−0.926200	+	0.377033i	$0.876944\pi$
$614$	−1.27647	+	3.08166i	−0.0515139	+	0.124366i
$615$	5.38823	+	3.29274i	0.217275	+	0.132776i
$616$	−8.45470	−	8.45470i	−0.340649	−	0.340649i
$617$	−26.9613	+	5.36293i	−1.08542	+	0.215904i	−0.705212	−	0.708997i	$-0.749148\pi$
$617$	−26.9613	+	5.36293i	−1.08542	+	0.215904i	−0.380209	+	0.924901i	$0.624148\pi$
$618$	6.82695	−	4.56162i	0.274620	−	0.183495i
$619$	−4.88532	−	7.31139i	−0.196357	−	0.293870i	0.720205	−	0.693761i	$-0.244048\pi$
$619$	−4.88532	−	7.31139i	−0.196357	−	0.293870i	−0.916562	+	0.399892i	$0.869048\pi$
$620$	−5.78397	−	12.5056i	−0.232290	−	0.502238i
$621$	−12.8837	+	5.33660i	−0.517005	+	0.214150i
$622$	31.4334	+	6.25250i	1.26037	+	0.250702i
$623$	13.0997	+	19.6051i	0.524829	+	0.785462i
$624$	5.20677	+	3.47905i	0.208438	+	0.139274i
$625$	−14.5942	+	20.2980i	−0.583769	+	0.811920i
$626$	2.00483	−	0.398786i	0.0801292	−	0.0159387i
$627$	5.44221	+	13.1387i	0.217341	+	0.524707i
$628$	−3.10670	+	3.10670i	−0.123971	+	0.123971i
$629$	−29.8437	+	9.43200i	−1.18995	+	0.376078i
$630$	0.363589	+	8.97068i	0.0144857	+	0.357401i
$631$	22.7332	+	9.41639i	0.904993	+	0.374860i	0.786138	−	0.618051i	$-0.212078\pi$
$631$	22.7332	+	9.41639i	0.904993	+	0.374860i	0.118855	+	0.992912i	$0.462078\pi$
$632$	−8.81477	−	5.88984i	−0.350633	−	0.234285i
$633$		−	0.922636i		−	0.0366715i
$634$	−10.6392	+	15.9227i	−0.422536	+	0.632370i
$635$	29.5807	−	21.5477i	1.17387	−	0.855094i
$636$	−14.4834	+	9.67748i	−0.574303	+	0.383737i
$637$	32.1721	+	13.3261i	1.27470	+	0.528000i
$638$	17.7403	+	7.34827i	0.702345	+	0.290921i
$639$	−0.612568	+	0.409305i	−0.0242328	+	0.0161919i
$640$	1.80739	−	1.31657i	0.0714433	−	0.0520419i
$641$	−6.96415	+	10.4226i	−0.275068	+	0.411668i	−0.943123	−	0.332444i	$-0.892127\pi$
$641$	−6.96415	+	10.4226i	−0.275068	+	0.411668i	0.668056	+	0.744111i	$0.267127\pi$
$642$		−	9.94679i		−	0.392569i
$643$	26.7187	+	17.8529i	1.05368	+	0.704049i	0.956652	−	0.291233i	$-0.0940654\pi$
$643$	26.7187	+	17.8529i	1.05368	+	0.704049i	0.0970309	+	0.995281i	$0.469065\pi$
$644$	8.75646	+	3.62704i	0.345053	+	0.142926i
$645$	−0.798205	−	19.6938i	−0.0314293	−	0.775442i
$646$	−10.5189	−	8.43053i	−0.413859	−	0.331695i
$647$	−7.81849	+	7.81849i	−0.307377	+	0.307377i	−0.843891	−	0.536514i	$-0.819741\pi$
$647$	−7.81849	+	7.81849i	−0.307377	+	0.307377i	0.536514	+	0.843891i	$0.319741\pi$
$648$	−1.82748	−	4.41193i	−0.0717902	−	0.173317i
$649$	−15.4001	+	3.06326i	−0.604505	+	0.120244i
$650$	17.0619	+	14.4993i	0.669222	+	0.568708i
$651$	27.5404	+	18.4019i	1.07939	+	0.721227i
$652$	3.20925	+	4.80299i	0.125684	+	0.188099i
$653$	15.7837	+	3.13958i	0.617665	+	0.122861i	0.493999	−	0.869463i	$-0.335535\pi$
$653$	15.7837	+	3.13958i	0.617665	+	0.122861i	0.123666	+	0.992324i	$0.460535\pi$
$654$	−22.4502	+	9.29920i	−0.877874	+	0.363627i
$655$	1.67684	+	3.62554i	0.0655197	+	0.141661i
$656$	−1.12196	−	1.67914i	−0.0438053	−	0.0655592i
$657$	−1.17748	+	0.786767i	−0.0459379	+	0.0306947i
$658$	−35.1031	+	6.98244i	−1.36846	+	0.272204i
$659$	−6.79629	−	6.79629i	−0.264746	−	0.264746i	0.562233	−	0.826979i	$-0.309942\pi$
$659$	−6.79629	−	6.79629i	−0.264746	−	0.264746i	−0.826979	+	0.562233i	$0.809942\pi$
$660$	8.29924	+	5.07165i	0.323047	+	0.197414i
$661$	11.1155	−	26.8352i	0.432342	−	1.04377i	−0.546188	−	0.837663i	$-0.683921\pi$
$661$	11.1155	−	26.8352i	0.432342	−	1.04377i	0.978530	−	0.206104i	$-0.0660786\pi$
$662$	1.71151	+	1.71151i	0.0665199	+	0.0665199i
$663$	−7.78078	−	24.6191i	−0.302181	−	0.956128i
$664$		−	13.3846i		−	0.519423i
$665$	−25.5064	+	11.7970i	−0.989097	+	0.457467i
$666$	1.54687	+	7.77663i	0.0599399	+	0.301338i
$667$	−15.2211			−0.589363
$668$	1.72039	+	8.64899i	0.0665639	+	0.334639i
$669$	−2.76843	−	0.550675i	−0.107034	−	0.0212903i
$670$	−15.5082	+	11.2968i	−0.599136	+	0.436432i
$671$	−3.31249	−	7.99706i	−0.127877	−	0.308723i
$672$	−2.05707	+	4.96620i	−0.0793531	+	0.191575i
$673$	1.41087	−	7.09293i	0.0543851	−	0.273412i	−0.944019	−	0.329892i	$-0.892988\pi$
$673$	1.41087	−	7.09293i	0.0543851	−	0.273412i	0.998404	+	0.0564798i	$0.0179877\pi$
$674$	3.07569	−	15.4625i	0.118471	−	0.595594i
$675$	−7.74347	−	27.1981i	−0.298046	−	1.04686i
$676$	4.98756	−	4.98756i	0.191829	−	0.191829i
$677$	−4.77141	+	7.14092i	−0.183380	+	0.274448i	−0.911758	−	0.410728i	$-0.865275\pi$
$677$	−4.77141	+	7.14092i	−0.183380	+	0.274448i	0.728378	+	0.685176i	$0.240275\pi$
$678$	13.3054	−	5.51129i	0.510992	−	0.211660i
$679$	−30.2853			−1.16224
$680$	−9.20976	−	0.424669i	−0.353178	−	0.0162853i
$681$	4.07235			0.156053
$682$	−17.7077	+	7.33476i	−0.678062	+	0.280862i
$683$	2.18768	−	3.27409i	0.0837091	−	0.125280i	−0.787252	−	0.616631i	$-0.788497\pi$
$683$	2.18768	−	3.27409i	0.0837091	−	0.125280i	0.870961	+	0.491352i	$0.163497\pi$
$684$	−2.41478	+	2.41478i	−0.0923314	+	0.0923314i
$685$	−11.1074	−	46.0143i	−0.424390	−	1.75811i
$686$	−0.582113	+	2.92648i	−0.0222252	+	0.111733i
$687$	−8.00438	+	40.2407i	−0.305386	+	1.53528i
$688$	−2.41220	+	5.82356i	−0.0919642	+	0.222021i
$689$	21.3467	+	51.5355i	0.813244	+	1.96335i
$690$	−7.61637	−	1.19665i	−0.289950	−	0.0455555i
$691$	1.25513	+	0.249661i	0.0477474	+	0.00949755i	0.218906	−	0.975746i	$-0.429751\pi$
$691$	1.25513	+	0.249661i	0.0477474	+	0.00949755i	−0.171159	+	0.985243i	$0.554751\pi$
$692$	3.61746	+	18.1862i	0.137515	+	0.691335i
$693$	12.4890			0.474418
$694$	−3.16935	−	15.9334i	−0.120307	−	0.604823i
$695$	−15.1102	+	41.1149i	−0.573164	+	1.55958i
$696$		−	8.63260i		−	0.327218i
$697$	−0.720066	+	8.29533i	−0.0272745	+	0.314208i
$698$	6.58915	+	6.58915i	0.249403	+	0.249403i
$699$	−9.46607	+	22.8531i	−0.358040	+	0.864384i
$700$	−9.34969	+	16.7925i	−0.353385	+	0.634698i
$701$	−4.78761	−	4.78761i	−0.180826	−	0.180826i	0.610890	−	0.791716i	$-0.290812\pi$
$701$	−4.78761	−	4.78761i	−0.180826	−	0.180826i	−0.791716	+	0.610890i	$0.790812\pi$
$702$	−24.8406	+	4.94111i	−0.937549	+	0.186490i
$703$	−20.6360	+	13.7885i	−0.778302	+	0.520045i
$704$	−1.72811	−	2.58629i	−0.0651304	−	0.0974746i
$705$	26.4246	−	12.2216i	0.995206	−	0.460292i
$706$	−23.8022	+	9.85917i	−0.895806	+	0.371055i
$707$	−15.0708	−	2.99777i	−0.566795	−	0.112743i
$708$	3.92178	+	5.86936i	0.147390	+	0.220584i
$709$	−25.7584	−	17.2112i	−0.967379	−	0.646382i	−0.0317977	−	0.999494i	$-0.510123\pi$
$709$	−25.7584	−	17.2112i	−0.967379	−	0.646382i	−0.935581	+	0.353113i	$0.885123\pi$
$710$	−1.57587	+	0.0638715i	−0.0591415	+	0.00239706i
$711$	10.8606	−	2.16031i	0.407304	−	0.0810178i
$712$	2.34737	+	5.66704i	0.0879713	+	0.212381i
$713$	10.7431	−	10.7431i	0.402334	−	0.402334i
$714$	19.4239	−	10.6735i	0.726920	−	0.399445i
$715$	21.1140	−	22.8978i	0.789619	−	0.856331i
$716$	5.38783	+	2.23171i	0.201353	+	0.0834029i
$717$	−2.18811	−	1.46205i	−0.0817165	−	0.0546012i
$718$			2.53644i			0.0946590i
$719$	7.52497	−	11.2619i	0.280634	−	0.419998i	−0.664197	−	0.747558i	$-0.731226\pi$
$719$	7.52497	−	11.2619i	0.280634	−	0.419998i	0.944831	+	0.327560i	$0.106226\pi$
$720$	−0.362512	+	2.30730i	−0.0135100	+	0.0859882i
$721$	18.7664	−	12.5393i	0.698898	−	0.466989i
$722$	7.67797	+	3.18032i	0.285744	+	0.118359i
$723$	−11.1016	−	4.59841i	−0.412871	−	0.171017i
$724$	9.77036	−	6.52835i	0.363113	−	0.242624i
$725$	3.55199	−	30.6612i	0.131918	−	1.13873i
$726$	−1.02920	+	1.54030i	−0.0381971	+	0.0571659i
$727$		−	50.9583i		−	1.88994i	−0.327157	−	0.944970i	$-0.606091\pi$
$727$		−	50.9583i		−	1.88994i	0.327157	−	0.944970i	$-0.393909\pi$
$728$	14.3127	+	9.56347i	0.530466	+	0.354446i
$729$	26.5292	+	10.9887i	0.982562	+	0.406991i
$730$	−3.02915	+	0.122774i	−0.112114	+	0.00454406i
$731$	22.7772	−	12.5161i	0.842445	−	0.462926i
$732$	−2.75167	+	2.75167i	−0.101705	+	0.101705i
$733$	−1.03354	−	2.49519i	−0.0381747	−	0.0921619i	0.903642	−	0.428288i	$-0.140883\pi$
$733$	−1.03354	−	2.49519i	−0.0381747	−	0.0921619i	−0.941817	+	0.336126i	$0.890883\pi$
$734$	−31.9414	+	6.35353i	−1.17898	+	0.234513i
$735$	−0.984714	−	24.2954i	−0.0363217	−	0.896151i
$736$	2.05011	+	1.36984i	0.0755681	+	0.0504930i
$737$	14.8280	+	22.1916i	0.546195	+	0.817438i
$738$	2.06885	+	0.411519i	0.0761553	+	0.0151482i
$739$	6.77975	−	2.80826i	0.249397	−	0.103304i	−0.254483	−	0.967077i	$-0.581905\pi$
$739$	6.77975	−	2.80826i	0.249397	−	0.103304i	0.503880	+	0.863774i	$0.331905\pi$
$740$	−5.85530	+	15.9322i	−0.215245	+	0.585681i
$741$	−11.3747	−	17.0234i	−0.417858	−	0.625369i
$742$	−39.8129	+	26.6022i	−1.46158	+	0.976596i
$743$	−23.3914	+	4.65285i	−0.858149	+	0.170696i	−0.604505	−	0.796601i	$-0.706629\pi$
$743$	−23.3914	+	4.65285i	−0.858149	+	0.170696i	−0.253644	+	0.967298i	$0.581629\pi$
$744$	6.09294	+	6.09294i	0.223378	+	0.223378i
$745$	−31.1280	+	7.51396i	−1.14044	+	0.275290i
$746$	1.23894	−	2.99106i	0.0453607	−	0.109510i
$747$	9.88565	+	9.88565i	0.361697	+	0.361697i
$748$	−1.10908	+	12.7769i	−0.0405521	+	0.467170i
$749$		−	27.3425i		−	0.999072i
$750$	4.18787	−	15.0631i	0.152919	−	0.550027i
$751$	6.79925	+	34.1822i	0.248108	+	1.24732i	0.881012	+	0.473094i	$0.156863\pi$
$751$	6.79925	+	34.1822i	0.248108	+	1.24732i	−0.632904	+	0.774231i	$0.718137\pi$
$752$	−9.31086			−0.339532
$753$	−1.25431	−	6.30582i	−0.0457094	−	0.229797i
$754$	−27.1133	−	5.39318i	−0.987410	−	0.196408i
$755$	−7.77907	−	10.6791i	−0.283109	−	0.388653i
$756$	−8.31984	−	20.0859i	−0.302590	−	0.730516i
$757$	−16.9845	+	41.0041i	−0.617311	+	1.49032i	0.237504	+	0.971387i	$0.423671\pi$
$757$	−16.9845	+	41.0041i	−0.617311	+	1.49032i	−0.854815	+	0.518933i	$0.826329\pi$
$758$	1.53561	−	7.72002i	0.0557757	−	0.280404i
$759$	−2.09231	+	10.5187i	−0.0759459	+	0.381806i
$760$	−7.10664	+	1.71547i	−0.257785	+	0.0622265i
$761$	−19.5317	+	19.5317i	−0.708023	+	0.708023i	−0.966119	−	0.258096i	$-0.916905\pi$
$761$	−19.5317	+	19.5317i	−0.708023	+	0.708023i	0.258096	+	0.966119i	$0.416905\pi$
$762$	−12.7152	+	19.0297i	−0.460623	+	0.689372i
$763$	−61.7129	+	25.5623i	−2.23416	+	0.925418i
$764$	21.8676			0.791143
$765$	7.11584	−	6.48853i	0.257274	−	0.234593i
$766$	−10.2356			−0.369827
$767$	20.8847	−	8.65071i	0.754102	−	0.312359i
$768$	−0.776902	+	1.16272i	−0.0280340	+	0.0419559i
$769$	21.7549	−	21.7549i	0.784501	−	0.784501i	−0.196086	−	0.980587i	$-0.562823\pi$
$769$	21.7549	−	21.7549i	0.784501	−	0.784501i	0.980587	+	0.196086i	$0.0628230\pi$
$770$	22.8136	+	13.9413i	0.822144	+	0.502410i
$771$	0.956262	−	4.80745i	0.0344389	−	0.173136i
$772$	3.76255	−	18.9156i	0.135417	−	0.680788i
$773$	−2.57713	+	6.22174i	−0.0926929	+	0.223780i	−0.963425	−	0.267976i	$-0.913645\pi$
$773$	−2.57713	+	6.22174i	−0.0926929	+	0.223780i	0.870733	+	0.491757i	$0.163645\pi$
$774$	−2.51958	−	6.08280i	−0.0905644	−	0.218642i
$775$	19.1339	+	24.1479i	0.687309	+	0.867418i
$776$	−7.72723	−	1.53704i	−0.277392	−	0.0551766i
$777$	−7.96062	−	40.0207i	−0.285586	−	1.43574i
$778$	23.1333			0.829370
$779$	1.28811	+	6.47576i	0.0461513	+	0.232018i
$780$	−13.1431	−	4.83024i	−0.470597	−	0.172950i
$781$			2.19394i			0.0785053i
$782$	−3.06360	−	9.69353i	−0.109554	−	0.346640i
$783$	24.6884	+	24.6884i	0.882292	+	0.882292i
$784$	−2.97583	+	7.18430i	−0.106280	+	0.256582i
$785$	5.12277	−	8.38289i	0.182839	−	0.299198i
$786$	−1.76642	−	1.76642i	−0.0630060	−	0.0630060i
$787$	51.3181	−	10.2078i	1.82929	−	0.363869i	0.844218	−	0.536000i	$-0.180065\pi$
$787$	51.3181	−	10.2078i	1.82929	−	0.363869i	0.985074	+	0.172131i	$0.0550653\pi$
$788$	3.65116	−	2.43963i	0.130067	−	0.0869081i
$789$	−3.33358	−	4.98905i	−0.118679	−	0.177615i
$790$	22.2505	+	8.17733i	0.791636	+	0.290936i
$791$	36.5749	−	15.1498i	1.30046	−	0.538666i
$792$	3.18655	+	0.633844i	0.113229	+	0.0225227i
$793$	6.92337	+	10.3616i	0.245856	+	0.367950i
$794$	27.9873	+	18.7005i	0.993233	+	0.663657i
$795$	26.4039	−	28.6346i	0.936449	−	1.01557i
$796$	−7.46944	+	1.48576i	−0.264747	+	0.0526615i
$797$	−13.4800	−	32.5436i	−0.477486	−	1.15275i	−0.960784	−	0.277298i	$-0.910561\pi$
$797$	−13.4800	−	32.5436i	−0.477486	−	1.15275i	0.483298	−	0.875456i	$-0.339439\pi$
$798$	12.4271	−	12.4271i	0.439916	−	0.439916i
$799$	29.9558	+	24.0086i	1.05976	+	0.849364i
$800$	−3.23781	+	3.81006i	−0.114474	+	0.134706i
$801$	−5.91932	−	2.45186i	−0.209149	−	0.0866323i
$802$	−22.6371	−	15.1257i	−0.799345	−	0.534105i
$803$			4.21719i			0.148821i
$804$	6.66618	−	9.97665i	0.235098	−	0.351849i
$805$	−20.9364	−	3.28943i	−0.737912	−	0.115937i
$806$	22.9433	−	15.3302i	0.808144	−	0.539984i
$807$	8.68859	+	3.59893i	0.305853	+	0.126688i
$808$	−3.69314	−	1.52975i	−0.129924	−	0.0538163i
$809$	−0.788041	+	0.526552i	−0.0277060	+	0.0185126i	−0.569346	−	0.822098i	$-0.692804\pi$
$809$	−0.788041	+	0.526552i	−0.0277060	+	0.0185126i	0.541640	+	0.840610i	$0.317804\pi$
$810$	6.28719	+	8.63107i	0.220909	+	0.303265i
$811$	0.162309	−	0.242912i	0.00569943	−	0.00852979i	−0.828609	−	0.559828i	$-0.810867\pi$
$811$	0.162309	−	0.242912i	0.00569943	−	0.00852979i	0.834308	+	0.551298i	$0.185867\pi$
$812$		−	23.7299i		−	0.832757i
$813$	−12.6404	−	8.44605i	−0.443318	−	0.296216i
$814$	21.8147	+	9.03594i	0.764604	+	0.316709i
$815$	−9.49584	−	8.75608i	−0.332625	−	0.306712i
$816$	5.49766	−	1.73751i	0.192457	−	0.0608252i
$817$	14.5725	−	14.5725i	0.509829	−	0.509829i
$818$	4.04090	+	9.75560i	0.141287	+	0.341097i
$819$	−17.6346	+	3.50774i	−0.616203	+	0.122570i
$820$	3.31977	+	3.06114i	0.115931	+	0.106900i
$821$	42.6402	+	28.4913i	1.48815	+	0.994353i	0.992016	+	0.126110i	$0.0402491\pi$
$821$	42.6402	+	28.4913i	1.48815	+	0.994353i	0.496138	+	0.868244i	$0.334751\pi$
$822$	16.4464	+	24.6138i	0.573635	+	0.858505i
$823$	−0.0130524	−	0.00259628i	−0.000454977	−	9.05006e-5i	0.194863	−	0.980831i	$-0.437574\pi$
$823$	−0.0130524	−	0.00259628i	−0.000454977	−	9.05006e-5i	−0.195318	+	0.980740i	$0.562574\pi$
$824$	5.42461	−	2.24695i	0.188975	−	0.0782762i
$825$	−20.7006	−	6.66938i	−0.720702	−	0.232198i
$826$	10.7805	+	16.1341i	0.375101	+	0.561378i
$827$	−0.401307	+	0.268144i	−0.0139548	+	0.00932430i	−0.562528	−	0.826778i	$-0.690171\pi$
$827$	−0.401307	+	0.268144i	−0.0139548	+	0.00932430i	0.548573	+	0.836102i	$0.315171\pi$
$828$	−2.52592	+	0.502438i	−0.0877819	+	0.0174609i
$829$	17.7713	+	17.7713i	0.617223	+	0.617223i	0.944818	−	0.327595i	$-0.106238\pi$
$829$	17.7713	+	17.7713i	0.617223	+	0.617223i	−0.327595	+	0.944818i	$0.606238\pi$
$830$	7.02280	+	29.0933i	0.243765	+	1.00984i
$831$	10.0385	−	24.2351i	0.348232	−	0.840707i
$832$	3.16650	+	3.16650i	0.109779	+	0.109779i
$833$	28.0993	−	15.4407i	0.973583	−	0.534987i
$834$		−	27.3937i		−	0.948568i
$835$	−8.27757	−	17.8971i	−0.286457	−	0.619354i
$836$	1.98401	+	9.97430i	0.0686185	+	0.344968i
$837$	−34.8505			−1.20461
$838$	−2.29101	−	11.5177i	−0.0791415	−	0.397871i
$839$	31.0812	+	6.18244i	1.07304	+	0.213441i	0.699834	−	0.714306i	$-0.253257\pi$
$839$	31.0812	+	6.18244i	1.07304	+	0.213441i	0.373209	+	0.927747i	$0.378257\pi$
$840$	1.86559	−	11.8740i	0.0643689	−	0.409693i
$841$	3.48590	+	8.41571i	0.120204	+	0.290197i
$842$	12.2781	−	29.6419i	0.423131	−	1.02153i
$843$	1.54416	−	7.76303i	0.0531838	−	0.267373i
$844$	0.128718	−	0.647109i	0.00443066	−	0.0222744i
$845$	−8.22421	+	13.4581i	−0.282922	+	0.462972i
$846$	6.87685	−	6.87685i	0.236431	−	0.236431i
$847$	−2.82913	+	4.23409i	−0.0972101	+	0.145485i
$848$	−11.5083	+	4.76690i	−0.395197	+	0.163696i
$849$	−13.0538			−0.448004
$850$	20.2415	−	3.90922i	0.694277	−	0.134085i
$851$	−18.7169			−0.641606
$852$	0.911246	−	0.377450i	0.0312188	−	0.0129312i
$853$	−14.5138	+	21.7214i	−0.496943	+	0.743727i	−0.992151	−	0.125047i	$-0.960092\pi$
$853$	−14.5138	+	21.7214i	−0.496943	+	0.743727i	0.495208	+	0.868774i	$0.335092\pi$
$854$	−7.56399	+	7.56399i	−0.258834	+	0.258834i
$855$	3.98184	−	6.51587i	0.136176	−	0.222838i
$856$	1.38769	−	6.97638i	0.0474302	−	0.238448i
$857$	−4.13019	+	20.7639i	−0.141085	+	0.709280i	0.843881	+	0.536530i	$0.180265\pi$
$857$	−4.13019	+	20.7639i	−0.141085	+	0.709280i	−0.984966	+	0.172750i	$0.944735\pi$
$858$	−7.45406	+	17.9957i	−0.254477	+	0.614363i
$859$	−8.07204	−	19.4876i	−0.275414	−	0.664909i	0.724283	−	0.689503i	$-0.242171\pi$
$859$	−8.07204	−	19.4876i	−0.275414	−	0.664909i	−0.999698	+	0.0245935i	$0.992171\pi$
$860$	2.18766	−	13.9240i	0.0745987	−	0.474804i
$861$	−10.6469	−	2.11780i	−0.362845	−	0.0721743i
$862$	−4.72263	−	23.7422i	−0.160853	−	0.808664i
$863$	−36.8501			−1.25439			−0.627196	−	0.778861i	$-0.715798\pi$
$863$	−36.8501			−1.25439			−0.627196	+	0.778861i	$0.715798\pi$
$864$	−1.10339	−	5.54712i	−0.0375381	−	0.188717i
$865$	−17.4052	−	37.6321i	−0.591794	−	1.27953i
$866$		−	30.2191i		−	1.02689i
$867$	−22.1679	−	8.58596i	−0.752862	−	0.291594i
$868$	16.7487	+	16.7487i	0.568489	+	0.568489i
$869$	12.6193	−	30.4657i	0.428081	−	1.03348i
$870$	4.52946	+	18.7641i	0.153563	+	0.636164i
$871$	−27.1701	−	27.1701i	−0.920623	−	0.920623i
$872$	−17.0433	+	3.39011i	−0.577158	+	0.114804i
$873$	6.84245	−	4.57198i	0.231582	−	0.154738i
$874$	−4.47865	−	6.70278i	−0.151493	−	0.226725i
$875$	11.5119	−	41.4066i	0.389174	−	1.39980i
$876$	1.75160	−	0.725535i	0.0591810	−	0.0245136i
$877$	−42.4169	−	8.43724i	−1.43232	−	0.284905i	−0.582863	−	0.812570i	$-0.698068\pi$
$877$	−42.4169	−	8.43724i	−1.43232	−	0.284905i	−0.849453	+	0.527665i	$0.823068\pi$
$878$	6.21860	+	9.30679i	0.209867	+	0.314089i
$879$	4.13452	+	2.76260i	0.139454	+	0.0931802i
$880$	5.11328	+	4.71494i	0.172369	+	0.158940i
$881$	37.2658	−	7.41263i	1.25552	−	0.249738i	0.477865	−	0.878433i	$-0.341411\pi$
$881$	37.2658	−	7.41263i	1.25552	−	0.249738i	0.777652	+	0.628695i	$0.216411\pi$
$882$	−3.10831	−	7.50412i	−0.104662	−	0.252677i
$883$	−18.6109	+	18.6109i	−0.626307	+	0.626307i	−0.947137	−	0.320830i	$-0.896038\pi$
$883$	−18.6109	+	18.6109i	−0.626307	+	0.626307i	0.320830	+	0.947137i	$0.396038\pi$
$884$	−2.02256	−	18.3526i	−0.0680261	−	0.617265i
$885$	−11.6041	−	10.7001i	−0.390069	−	0.359681i
$886$	−17.5844	−	7.28372i	−0.590761	−	0.244701i
$887$	23.1788	+	15.4876i	0.778268	+	0.520022i	0.880105	−	0.474779i	$-0.157472\pi$
$887$	23.1788	+	15.4876i	0.778268	+	0.520022i	−0.101837	+	0.994801i	$0.532472\pi$
$888$		−	10.6152i		−	0.356224i
$889$	−34.9525	+	52.3101i	−1.17227	+	1.75442i
$890$	−8.07578	−	11.0865i	−0.270701	−	0.371619i
$891$	12.3507	−	8.25246i	0.413763	−	0.276468i
$892$	−1.86487	−	0.772453i	−0.0624404	−	0.0258636i
$893$	28.1243	+	11.6495i	0.941145	+	0.389835i
$894$	16.6509	−	11.1258i	0.556889	−	0.372101i
$895$	−12.8821	−	2.02398i	−0.430602	−	0.0676540i
$896$	−2.13560	+	3.19616i	−0.0713455	+	0.106776i
$897$		−	15.4402i		−	0.515534i
$898$	22.6775	+	15.1526i	0.756756	+	0.505649i
$899$	−35.1435	−	14.5569i	−1.17210	−	0.485500i
$900$	−0.422657	−	5.20545i	−0.0140886	−	0.173515i
$901$	49.3174	+	14.3384i	1.64300	+	0.477680i
$902$	4.44176	−	4.44176i	0.147895	−	0.147895i
$903$	12.9665	+	31.3038i	0.431497	+	1.04173i
$904$	10.1009	−	2.00920i	0.335951	−	0.0668249i
$905$	−17.8118	+	19.3167i	−0.592086	+	0.642109i
$906$	6.87002	+	4.59040i	0.228241	+	0.152506i
$907$	4.90947	+	7.34754i	0.163016	+	0.243971i	0.903981	−	0.427573i	$-0.140631\pi$
$907$	4.90947	+	7.34754i	0.163016	+	0.243971i	−0.740965	+	0.671544i	$0.765631\pi$
$908$	2.85622	+	0.568138i	0.0947871	+	0.0188543i
$909$	3.85754	−	1.59785i	0.127947	−	0.0529972i
$910$	−36.1286	−	13.2777i	−1.19765	−	0.440152i
$911$	13.3044	+	19.9115i	0.440795	+	0.659697i	0.983642	−	0.180135i	$-0.0576534\pi$
$911$	13.3044	+	19.9115i	0.440795	+	0.659697i	−0.542846	+	0.839832i	$0.682653\pi$
$912$	3.80146	−	2.54006i	0.125879	−	0.0841097i
$913$	40.8329	−	8.12217i	1.35137	−	0.268805i
$914$	−7.67567	−	7.67567i	−0.253889	−	0.253889i
$915$	4.53735	−	7.42491i	0.150000	−	0.245460i
$916$	−11.2281	+	27.1069i	−0.370985	+	0.895638i
$917$	−4.85566	−	4.85566i	−0.160348	−	0.160348i
$918$	−10.7537	+	20.6919i	−0.354924	+	0.682935i
$919$		−	3.30076i		−	0.108882i	−0.998517	−	0.0544411i	$-0.982662\pi$
$919$		−	3.30076i		−	0.108882i	0.998517	−	0.0544411i	$-0.0173377\pi$
$920$	−5.17494	−	1.90186i	−0.170613	−	0.0627024i
$921$	0.909981	+	4.57478i	0.0299849	+	0.150744i
$922$	−12.6671			−0.417170
$923$	−0.616203	−	3.09786i	−0.0202826	−	0.101967i
$924$	−16.3989	−	3.26194i	−0.539483	−	0.107310i
$925$	4.36777	−	37.7031i	0.143611	−	1.23967i
$926$	15.5871	+	37.6306i	0.512224	+	1.23662i
$927$	−2.34697	+	5.66610i	−0.0770847	+	0.186099i
$928$	1.20434	−	6.05464i	0.0395345	−	0.198753i
$929$	−2.65237	+	13.3344i	−0.0870216	+	0.437487i	0.912570	+	0.408920i	$0.134094\pi$
$929$	−2.65237	+	13.3344i	−0.0870216	+	0.437487i	−0.999592	+	0.0285671i	$0.990906\pi$
$930$	−16.4408	−	10.0469i	−0.539114	−	0.329451i
$931$	17.9776	−	17.9776i	0.589191	−	0.589191i
$932$	−9.82747	+	14.7078i	−0.321910	+	0.481772i
$933$	41.4057	−	17.1508i	1.35556	−	0.561492i
$934$	27.8998			0.912910
$935$	−4.29320	−	28.3543i	−0.140403	−	0.927284i
$936$	−4.67746			−0.152888
$937$	10.1489	−	4.20381i	0.331550	−	0.137332i	−0.210698	−	0.977551i	$-0.567574\pi$
$937$	10.1489	−	4.20381i	0.331550	−	0.137332i	0.542247	+	0.840219i	$0.317574\pi$
$938$	18.3245	−	27.4245i	0.598316	−	0.895443i
$939$	2.02123	−	2.02123i	0.0659604	−	0.0659604i
$940$	20.2384	−	4.88534i	0.660105	−	0.159342i
$941$	−8.99871	+	45.2396i	−0.293350	+	1.47477i	0.500012	+	0.866018i	$0.333329\pi$
$941$	−8.99871	+	45.2396i	−0.293350	+	1.47477i	−0.793362	+	0.608750i	$0.791671\pi$
$942$	−1.19861	+	6.02580i	−0.0390527	+	0.196331i
$943$	−1.90551	+	4.60030i	−0.0620518	+	0.149806i
$944$	1.93178	+	4.66372i	0.0628740	+	0.151791i
$945$	28.6232	+	39.2940i	0.931114	+	1.27824i
$946$	−19.2300	−	3.82508i	−0.625220	−	0.124364i
$947$	2.88018	+	14.4796i	0.0935933	+	0.470525i	0.998948	+	0.0458680i	$0.0146054\pi$
$947$	2.88018	+	14.4796i	0.0935933	+	0.470525i	−0.905354	+	0.424657i	$0.860395\pi$
$948$	−14.8249			−0.481490
$949$	−1.18447	−	5.95471i	−0.0384494	−	0.193298i
$950$	14.5472	−	7.45760i	0.471972	−	0.241957i
$951$			26.7792i			0.868374i
$952$	15.1124	−	4.77621i	0.489795	−	0.154798i
$953$	−28.1618	−	28.1618i	−0.912251	−	0.912251i	0.0841979	−	0.996449i	$-0.473167\pi$
$953$	−28.1618	−	28.1618i	−0.912251	−	0.912251i	−0.996449	+	0.0841979i	$0.973167\pi$
$954$	4.97910	−	12.0206i	0.161204	−	0.389182i
$955$	−47.5323	+	11.4738i	−1.53811	+	0.371283i
$956$	−1.33070	−	1.33070i	−0.0430380	−	0.0430380i
$957$	26.3358	−	5.23852i	0.851316	−	0.169337i
$958$	−7.62443	+	5.09448i	−0.246334	+	0.164595i
$959$	45.2091	+	67.6603i	1.45988	+	2.18486i
$960$	1.07863	−	2.93496i	0.0348128	−	0.0947253i
$961$	6.43856	−	2.66694i	0.207695	−	0.0860303i
$962$	−33.3404	−	6.63182i	−1.07494	−	0.213819i
$963$	4.12772	+	6.17757i	0.133014	+	0.199069i
$964$	−7.14476	−	4.77398i	−0.230117	−	0.153759i
$965$	1.74647	+	43.0898i	0.0562208	+	1.38711i
$966$	12.9991	−	2.58569i	0.418240	−	0.0831931i
$967$	5.30776	+	12.8141i	0.170686	+	0.412073i	0.985955	−	0.167009i	$-0.0534110\pi$
$967$	5.30776	+	12.8141i	0.170686	+	0.412073i	−0.815269	+	0.579082i	$0.803411\pi$
$968$	−0.936736	+	0.936736i	−0.0301078	+	0.0301078i
$969$	−18.7801	−	1.63019i	−0.603305	−	0.0523692i
$970$	17.6027	−	0.713451i	0.565188	−	0.0229075i
$971$	−55.3153	−	22.9123i	−1.77515	−	0.735292i	−0.993798	−	0.111205i	$-0.964529\pi$
$971$	−55.3153	−	22.9123i	−1.77515	−	0.735292i	−0.781355	−	0.624087i	$-0.785471\pi$
$972$	8.55539	+	5.71653i	0.274414	+	0.183358i
$973$		−	75.3019i		−	2.41407i
$974$	−12.3496	+	18.4824i	−0.395705	+	0.592215i
$975$	31.1026	+	3.60313i	0.996081	+	0.115392i
$976$	−2.31382	+	1.54605i	−0.0740637	+	0.0494878i
$977$	−20.0585	−	8.30851i	−0.641729	−	0.265813i	0.0379984	−	0.999278i	$-0.487902\pi$
$977$	−20.0585	−	8.30851i	−0.641729	−	0.265813i	−0.679727	+	0.733465i	$0.737902\pi$
$978$	7.46290	+	3.09123i	0.238637	+	0.0988467i
$979$	−15.8642	+	10.6001i	−0.507023	+	0.338782i
$980$	2.69883	−	17.1775i	0.0862111	−	0.548714i
$981$	10.0840	−	15.0918i	0.321957	−	0.481843i
$982$		−	14.0839i		−	0.449434i
$983$	9.89064	+	6.60871i	0.315462	+	0.210785i	0.703213	−	0.710979i	$-0.251748\pi$
$983$	9.89064	+	6.60871i	0.315462	+	0.210785i	−0.387751	+	0.921764i	$0.626748\pi$
$984$	−2.60905	−	1.08070i	−0.0831734	−	0.0344515i
$985$	−6.65624	+	7.21860i	−0.212085	+	0.230004i
$986$	−19.4870	+	16.3741i	−0.620592	+	0.521458i
$987$	−35.3902	+	35.3902i	−1.12648	+	1.12648i
$988$	−5.60289	−	13.5266i	−0.178252	−	0.430337i
$989$	15.2433	−	3.03208i	0.484708	−	0.0964145i
$990$	−7.25897	+	0.294212i	−0.230705	+	0.00935067i
$991$	−14.7998	−	9.88888i	−0.470130	−	0.314131i	0.297841	−	0.954615i	$-0.403733\pi$
$991$	−14.7998	−	9.88888i	−0.470130	−	0.314131i	−0.767971	+	0.640485i	$0.778733\pi$
$992$	3.42337	+	5.12343i	0.108692	+	0.162669i
$993$	3.31968	+	0.660326i	0.105347	+	0.0209548i
$994$	2.50490	−	1.03756i	0.0794506	−	0.0329095i
$995$	15.4563	−	7.14867i	0.489997	−	0.226628i
$996$	−10.3985	−	15.5625i	−0.329490	−	0.493116i
$997$	−5.79991	+	3.87538i	−0.183685	+	0.122734i	−0.644013	−	0.765014i	$-0.722732\pi$
$997$	−5.79991	+	3.87538i	−0.183685	+	0.122734i	0.460328	+	0.887749i	$0.347732\pi$
$998$	−43.5600	+	8.66463i	−1.37887	+	0.274274i
$999$	30.3585	+	30.3585i	0.960502	+	0.960502i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.a.113.3	yes	32
5.2	odd	4		170.2.o.a.147.2	yes	32
5.3	odd	4		850.2.s.c.657.3		32
5.4	even	2		850.2.v.c.793.2		32
17.14	odd	16		170.2.o.a.133.2	✓	32
85.14	odd	16		850.2.s.c.643.3		32
85.48	even	16		850.2.v.c.507.2		32
85.82	even	16	inner	170.2.r.a.167.3	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.133.2	✓	32	17.14	odd	16
170.2.o.a.147.2	yes	32	5.2	odd	4
170.2.r.a.113.3	yes	32	1.1	even	1	trivial
170.2.r.a.167.3	yes	32	85.82	even	16	inner
850.2.s.c.643.3		32	85.14	odd	16
850.2.s.c.657.3		32	5.3	odd	4
850.2.v.c.507.2		32	85.48	even	16
850.2.v.c.793.2		32	5.4	even	2

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.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.923880 - 0.382683i) q^{2} +(0.776902 - 1.16272i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-1.16598 + 1.90801i) q^{5} +(0.272812 - 1.37152i) q^{6} +(0.749924 - 3.77012i) q^{7} +(0.382683 - 0.923880i) q^{8} +(0.399719 + 0.965007i) q^{9} +O(q^{10})\)	\(q+(0.923880 - 0.382683i) q^{2} +(0.776902 - 1.16272i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-1.16598 + 1.90801i) q^{5} +(0.272812 - 1.37152i) q^{6} +(0.749924 - 3.77012i) q^{7} +(0.382683 - 0.923880i) q^{8} +(0.399719 + 0.965007i) q^{9} +(-0.347062 + 2.20897i) q^{10} +(3.05074 + 0.606830i) q^{11} +(-0.272812 - 1.37152i) q^{12} -4.47811 q^{13} +(-0.749924 - 3.77012i) q^{14} +(1.31262 + 2.83804i) q^{15} -1.00000i q^{16} +(-2.57856 + 3.21730i) q^{17} +(0.738584 + 0.738584i) q^{18} +(-1.25117 + 3.02060i) q^{19} +(0.524693 + 2.17364i) q^{20} +(-3.80097 - 3.80097i) q^{21} +(3.05074 - 0.606830i) q^{22} +(-2.05011 + 1.36984i) q^{23} +(-0.776902 - 1.16272i) q^{24} +(-2.28098 - 4.44940i) q^{25} +(-4.13724 + 1.71370i) q^{26} +(5.54712 + 1.10339i) q^{27} +(-2.13560 - 3.19616i) q^{28} +(5.13288 + 3.42968i) q^{29} +(2.29877 + 2.11969i) q^{30} +(-6.04350 + 1.20213i) q^{31} +(-0.382683 - 0.923880i) q^{32} +(3.07570 - 3.07570i) q^{33} +(-1.15107 + 3.95917i) q^{34} +(6.31903 + 5.82675i) q^{35} +(0.965007 + 0.399719i) q^{36} +(6.31173 + 4.21737i) q^{37} +3.26947i q^{38} +(-3.47905 + 5.20677i) q^{39} +(1.31657 + 1.80739i) q^{40} +(1.67914 - 1.12196i) q^{41} +(-4.96620 - 2.05707i) q^{42} +(-5.82356 - 2.41220i) q^{43} +(2.58629 - 1.72811i) q^{44} +(-2.30730 - 0.362512i) q^{45} +(-1.36984 + 2.05011i) q^{46} -9.31086i q^{47} +(-1.16272 - 0.776902i) q^{48} +(-7.18430 - 2.97583i) q^{49} +(-3.81006 - 3.23781i) q^{50} +(1.73751 + 5.49766i) q^{51} +(-3.16650 + 3.16650i) q^{52} +(-4.76690 - 11.5083i) q^{53} +(5.54712 - 1.10339i) q^{54} +(-4.71494 + 5.11328i) q^{55} +(-3.19616 - 2.13560i) q^{56} +(2.54006 + 3.80146i) q^{57} +(6.05464 + 1.20434i) q^{58} +(-4.66372 + 1.93178i) q^{59} +(2.93496 + 1.07863i) q^{60} +(-1.54605 - 2.31382i) q^{61} +(-5.12343 + 3.42337i) q^{62} +(3.93796 - 0.783308i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(5.22139 - 8.54427i) q^{65} +(1.66455 - 4.01859i) q^{66} +(6.06731 + 6.06731i) q^{67} +(0.451655 + 4.09829i) q^{68} +3.44793i q^{69} +(8.06782 + 2.96503i) q^{70} +(0.137603 + 0.691778i) q^{71} +1.04452 q^{72} +(0.264501 + 1.32974i) q^{73} +(7.44520 + 1.48094i) q^{74} +(-6.94548 - 0.804608i) q^{75} +(1.25117 + 3.02060i) q^{76} +(4.57565 - 11.0466i) q^{77} +(-1.22168 + 6.14180i) q^{78} +(2.06824 - 10.3977i) q^{79} +(1.90801 + 1.16598i) q^{80} +(3.37674 - 3.37674i) q^{81} +(1.12196 - 1.67914i) q^{82} +(12.3658 - 5.12206i) q^{83} -5.37538 q^{84} +(-3.13208 - 8.67122i) q^{85} -6.30338 q^{86} +(7.97548 - 3.30355i) q^{87} +(1.72811 - 2.58629i) q^{88} +(-4.33737 + 4.33737i) q^{89} +(-2.27040 + 0.548050i) q^{90} +(-3.35825 + 16.8830i) q^{91} +(-0.481024 + 2.41827i) q^{92} +(-3.29748 + 7.96081i) q^{93} +(-3.56311 - 8.60211i) q^{94} +(-4.30448 - 5.90920i) q^{95} +(-1.37152 - 0.272812i) q^{96} +(-1.53704 - 7.72723i) q^{97} -7.77623 q^{98} +(0.633844 + 3.18655i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q+O(q^{10}) \) 32 * q	\( 32 q - 8 q^{10} - 48 q^{15} + 16 q^{18} - 24 q^{25} + 8 q^{26} + 24 q^{27} - 8 q^{28} - 8 q^{29} - 16 q^{30} - 16 q^{31} + 64 q^{33} + 24 q^{34} + 32 q^{35} - 32 q^{37} - 32 q^{39} + 16 q^{41} - 24 q^{42} - 16 q^{43} - 16 q^{44} - 24 q^{45} - 16 q^{49} - 32 q^{50} + 32 q^{51} - 16 q^{52} + 16 q^{53} + 24 q^{54} - 8 q^{55} + 8 q^{56} - 24 q^{57} - 16 q^{58} - 64 q^{59} + 40 q^{60} - 24 q^{61} - 40 q^{62} - 24 q^{63} + 32 q^{65} + 16 q^{67} + 40 q^{70} + 8 q^{71} - 16 q^{72} + 32 q^{73} + 8 q^{74} - 56 q^{75} + 24 q^{77} + 32 q^{78} + 72 q^{79} + 8 q^{80} + 48 q^{81} + 48 q^{82} + 16 q^{83} + 8 q^{85} - 64 q^{86} + 40 q^{87} + 32 q^{88} + 16 q^{89} + 24 q^{90} + 48 q^{91} + 24 q^{92} - 8 q^{93} + 8 q^{94} + 56 q^{95} - 48 q^{97} - 64 q^{99}+O(q^{100}) \) 32 * q - 8 * q^10 - 48 * q^15 + 16 * q^18 - 24 * q^25 + 8 * q^26 + 24 * q^27 - 8 * q^28 - 8 * q^29 - 16 * q^30 - 16 * q^31 + 64 * q^33 + 24 * q^34 + 32 * q^35 - 32 * q^37 - 32 * q^39 + 16 * q^41 - 24 * q^42 - 16 * q^43 - 16 * q^44 - 24 * q^45 - 16 * q^49 - 32 * q^50 + 32 * q^51 - 16 * q^52 + 16 * q^53 + 24 * q^54 - 8 * q^55 + 8 * q^56 - 24 * q^57 - 16 * q^58 - 64 * q^59 + 40 * q^60 - 24 * q^61 - 40 * q^62 - 24 * q^63 + 32 * q^65 + 16 * q^67 + 40 * q^70 + 8 * q^71 - 16 * q^72 + 32 * q^73 + 8 * q^74 - 56 * q^75 + 24 * q^77 + 32 * q^78 + 72 * q^79 + 8 * q^80 + 48 * q^81 + 48 * q^82 + 16 * q^83 + 8 * q^85 - 64 * q^86 + 40 * q^87 + 32 * q^88 + 16 * q^89 + 24 * q^90 + 48 * q^91 + 24 * q^92 - 8 * q^93 + 8 * q^94 + 56 * q^95 - 48 * q^97 - 64 * q^99

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