LMFDB - Embedded newform 855.2.ci.a.182.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [855,2,Mod(182,855)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(855, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 3, 8]))

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

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

chi := DirichletCharacter("855.182");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 855 = 3^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	855.ci (of order $12$, degree $4$, 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:	$6.82720937282$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			182.10
Character	$\chi$	$=$	855.182
Dual form			855.2.ci.a.653.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.36887 - 0.634736i) q^{2} +(0.925734 - 1.46390i) q^{3} +(3.47659 + 2.00721i) q^{4} +(1.58102 - 1.58126i) q^{5} +(-3.12213 + 2.88020i) q^{6} +(-3.25666 + 0.872620i) q^{7} +(-3.49327 - 3.49327i) q^{8} +(-1.28603 - 2.71037i) q^{9} +O(q^{10})$	\(q+(-2.36887 - 0.634736i) q^{2} +(0.925734 - 1.46390i) q^{3} +(3.47659 + 2.00721i) q^{4} +(1.58102 - 1.58126i) q^{5} +(-3.12213 + 2.88020i) q^{6} +(-3.25666 + 0.872620i) q^{7} +(-3.49327 - 3.49327i) q^{8} +(-1.28603 - 2.71037i) q^{9} +(-4.74891 + 2.74226i) q^{10} +(4.98101 + 2.87579i) q^{11} +(6.15676 - 3.23125i) q^{12} +(0.294369 + 1.09860i) q^{13} +8.26849 q^{14} +(-0.851205 - 3.77829i) q^{15} +(2.04336 + 3.53921i) q^{16} +(-0.956819 - 3.57090i) q^{17} +(1.32607 + 7.23680i) q^{18} +(-2.04236 - 3.85081i) q^{19} +(8.67048 - 2.32394i) q^{20} +(-1.73737 + 5.57526i) q^{21} +(-9.97398 - 9.97398i) q^{22} +(-4.18379 + 1.12104i) q^{23} +(-8.34765 + 1.87998i) q^{24} +(-0.000746143 - 5.00000i) q^{25} -2.78929i q^{26} +(-5.15825 - 0.626452i) q^{27} +(-13.0736 - 3.50307i) q^{28} +1.22051 q^{29} +(-0.381823 + 9.49055i) q^{30} +(-2.32182 - 4.02151i) q^{31} +(-0.0367442 - 0.137131i) q^{32} +(8.82096 - 4.62951i) q^{33} +9.06630i q^{34} +(-3.76902 + 6.52925i) q^{35} +(0.969274 - 12.0042i) q^{36} +(-6.55496 - 6.55496i) q^{37} +(2.39384 + 10.4184i) q^{38} +(1.88076 + 0.586084i) q^{39} +(-11.0467 + 0.000824241i) q^{40} -7.55827i q^{41} +(7.65442 - 12.1043i) q^{42} +(2.90870 + 0.779383i) q^{43} +(11.5446 + 19.9959i) q^{44} +(-6.31904 - 2.25160i) q^{45} +10.6224 q^{46} +(6.75395 - 6.75395i) q^{47} +(7.07268 + 0.285076i) q^{48} +(3.78222 - 2.18366i) q^{49} +(-3.17191 + 11.8448i) q^{50} +(-6.11321 - 1.90501i) q^{51} +(-1.18172 + 4.41025i) q^{52} +(1.28780 - 4.80615i) q^{53} +(11.8216 + 4.75811i) q^{54} +(12.4224 - 3.32957i) q^{55} +(14.4247 + 8.32810i) q^{56} +(-7.52791 - 0.575002i) q^{57} +(-2.89123 - 0.774704i) q^{58} +5.43496 q^{59} +(4.62453 - 14.8441i) q^{60} +5.89390 q^{61} +(2.94748 + 11.0002i) q^{62} +(6.55331 + 7.70455i) q^{63} -7.82529i q^{64} +(2.20258 + 1.27144i) q^{65} +(-23.8342 + 5.36770i) q^{66} +(-12.1615 + 3.25867i) q^{67} +(3.84107 - 14.3351i) q^{68} +(-2.23198 + 7.16246i) q^{69} +(13.0727 - 13.0746i) q^{70} +(-1.82146 - 1.05162i) q^{71} +(-4.97560 + 13.9605i) q^{72} +(1.66807 + 6.22532i) q^{73} +(11.3672 + 19.6885i) q^{74} +(-7.32021 - 4.62758i) q^{75} +(0.628930 - 17.4871i) q^{76} +(-18.7309 - 5.01894i) q^{77} +(-4.08325 - 2.58214i) q^{78} +(-15.3768 + 8.87781i) q^{79} +(8.82700 + 2.36448i) q^{80} +(-5.69223 + 6.97126i) q^{81} +(-4.79750 + 17.9045i) q^{82} +(-0.987752 + 0.264667i) q^{83} +(-17.2308 + 15.8956i) q^{84} +(-7.15925 - 4.13268i) q^{85} +(-6.39562 - 3.69251i) q^{86} +(1.12987 - 1.78672i) q^{87} +(-7.35410 - 27.4459i) q^{88} +(-0.860215 - 1.48994i) q^{89} +(13.5398 + 9.34467i) q^{90} +(-1.91732 - 3.32090i) q^{91} +(-16.7955 - 4.50034i) q^{92} +(-8.03649 - 0.323924i) q^{93} +(-20.2862 + 11.7122i) q^{94} +(-9.31814 - 2.85871i) q^{95} +(-0.234762 - 0.0731569i) q^{96} +(-0.696897 + 2.60085i) q^{97} +(-10.3456 + 2.77210i) q^{98} +(1.38871 - 17.1987i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/855\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$496$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−2.36887	−	0.634736i	−1.67504	−	0.448826i	−0.708579	−	0.705632i	$-0.750663\pi$
$2$	−2.36887	−	0.634736i	−1.67504	−	0.448826i	−0.966463	+	0.256806i	$0.917330\pi$
$3$	0.925734	−	1.46390i	0.534473	−	0.845186i
$3$	0.925734	−	1.46390i	0.534473	−	0.845186i
$4$	3.47659	+	2.00721i	1.73829	+	1.00361i
$5$	1.58102	−	1.58126i	0.707054	−	0.707160i
$5$	1.58102	−	1.58126i	0.707054	−	0.707160i
$6$	−3.12213	+	2.88020i	−1.27461	+	1.17584i
$7$	−3.25666	+	0.872620i	−1.23090	+	0.329820i	−0.814931	−	0.579558i	$-0.803225\pi$
$7$	−3.25666	+	0.872620i	−1.23090	+	0.329820i	−0.415972	+	0.909377i	$0.636559\pi$
$8$	−3.49327	−	3.49327i	−1.23506	−	1.23506i
$9$	−1.28603	−	2.71037i	−0.428678	−	0.903457i
$10$	−4.74891	+	2.74226i	−1.50174	+	0.867178i
$11$	4.98101	+	2.87579i	1.50183	+	0.867082i	0.999998	+	0.00211684i	$0.000673812\pi$
$11$	4.98101	+	2.87579i	1.50183	+	0.867082i	0.501832	+	0.864965i	$0.332660\pi$
$12$	6.15676	−	3.23125i	1.77730	−	0.932783i
$13$	0.294369	+	1.09860i	0.0816434	+	0.304697i	0.994657	−	0.103231i	$-0.0329181\pi$
$13$	0.294369	+	1.09860i	0.0816434	+	0.304697i	−0.913014	+	0.407928i	$0.866251\pi$
$14$	8.26849			2.20985
$15$	−0.851205	−	3.77829i	−0.219780	−	0.975549i
$16$	2.04336	+	3.53921i	0.510841	+	0.884803i
$17$	−0.956819	−	3.57090i	−0.232063	−	0.866069i	−0.979451	−	0.201682i	$-0.935359\pi$
$17$	−0.956819	−	3.57090i	−0.232063	−	0.866069i	0.747388	−	0.664387i	$-0.231307\pi$
$18$	1.32607	+	7.23680i	0.312558	+	1.70573i
$19$	−2.04236	−	3.85081i	−0.468550	−	0.883437i
$19$	−2.04236	−	3.85081i	−0.468550	−	0.883437i
$20$	8.67048	−	2.32394i	1.93878	−	0.519649i
$21$	−1.73737	+	5.57526i	−0.379125	+	1.21662i
$22$	−9.97398	−	9.97398i	−2.12646	−	2.12646i
$23$	−4.18379	+	1.12104i	−0.872381	+	0.233754i	−0.667117	−	0.744953i	$-0.732472\pi$
$23$	−4.18379	+	1.12104i	−0.872381	+	0.233754i	−0.205264	+	0.978707i	$0.565805\pi$
$24$	−8.34765	+	1.87998i	−1.70396	+	0.383748i
$25$	−0.000746143	−	5.00000i	−0.000149229	−	1.00000i
$26$		−	2.78929i		−	0.547024i
$27$	−5.15825	−	0.626452i	−0.992706	−	0.120561i
$28$	−13.0736	−	3.50307i	−2.47068	−	0.662017i
$29$	1.22051			0.226644			0.113322	−	0.993558i	$-0.463851\pi$
$29$	1.22051			0.226644			0.113322	+	0.993558i	$0.463851\pi$
$30$	−0.381823	+	9.49055i	−0.0697111	+	1.73273i
$31$	−2.32182	−	4.02151i	−0.417011	−	0.722284i	0.578626	−	0.815593i	$-0.303589\pi$
$31$	−2.32182	−	4.02151i	−0.417011	−	0.722284i	−0.995637	+	0.0933087i	$0.970256\pi$
$32$	−0.0367442	−	0.137131i	−0.00649551	−	0.0242416i
$33$	8.82096	−	4.62951i	1.53553	−	0.805894i
$34$			9.06630i			1.55486i
$35$	−3.76902	+	6.52925i	−0.637080	+	1.10365i
$36$	0.969274	−	12.0042i	0.161546	−	2.00070i
$37$	−6.55496	−	6.55496i	−1.07763	−	1.07763i	−0.996722	−	0.0809078i	$-0.974218\pi$
$37$	−6.55496	−	6.55496i	−1.07763	−	1.07763i	−0.0809078	−	0.996722i	$-0.525782\pi$
$38$	2.39384	+	10.4184i	0.388332	+	1.69009i
$39$	1.88076	+	0.586084i	0.301162	+	0.0938485i
$40$	−11.0467		0.000824241i	−1.74663		0.000130324i
$41$		−	7.55827i		−	1.18040i	−0.807256	−	0.590202i	$-0.799048\pi$
$41$		−	7.55827i		−	1.18040i	0.807256	−	0.590202i	$-0.200952\pi$
$42$	7.65442	−	12.1043i	1.18110	−	1.86773i
$43$	2.90870	+	0.779383i	0.443572	+	0.118855i	0.473690	−	0.880692i	$-0.342922\pi$
$43$	2.90870	+	0.779383i	0.443572	+	0.118855i	−0.0301180	+	0.999546i	$0.509588\pi$
$44$	11.5446	+	19.9959i	1.74042	+	3.01449i
$45$	−6.31904	−	2.25160i	−0.941987	−	0.335649i
$46$	10.6224			1.56619
$47$	6.75395	−	6.75395i	0.985165	−	0.985165i	−0.0147270	−	0.999892i	$-0.504688\pi$
$47$	6.75395	−	6.75395i	0.985165	−	0.985165i	0.999892	+	0.0147270i	$0.00468791\pi$
$48$	7.07268	+	0.285076i	1.02085	+	0.0411472i
$49$	3.78222	−	2.18366i	0.540317	−	0.311952i
$50$	−3.17191	+	11.8448i	−0.448576	+	1.67511i
$51$	−6.11321	−	1.90501i	−0.856021	−	0.266754i
$52$	−1.18172	+	4.41025i	−0.163875	+	0.611591i
$53$	1.28780	−	4.80615i	0.176893	−	0.660175i	−0.819328	−	0.573325i	$-0.805653\pi$
$53$	1.28780	−	4.80615i	0.176893	−	0.660175i	0.996221	−	0.0868500i	$-0.0276801\pi$
$54$	11.8216	+	4.75811i	1.60871	+	0.647497i
$55$	12.4224	−	3.32957i	1.67504	−	0.448960i
$56$	14.4247	+	8.32810i	1.92758	+	1.11289i
$57$	−7.52791	−	0.575002i	−0.997096	−	0.0761608i
$58$	−2.89123	−	0.774704i	−0.379638	−	0.101724i
$59$	5.43496			0.707572			0.353786	−	0.935326i	$-0.384894\pi$
$59$	5.43496			0.707572			0.353786	+	0.935326i	$0.384894\pi$
$60$	4.62453	−	14.8441i	0.597024	−	1.91637i
$61$	5.89390			0.754637			0.377318	−	0.926084i	$-0.376846\pi$
$61$	5.89390			0.754637			0.377318	+	0.926084i	$0.376846\pi$
$62$	2.94748	+	11.0002i	0.374331	+	1.39702i
$63$	6.55331	+	7.70455i	0.825639	+	0.970682i
$64$		−	7.82529i		−	0.978161i
$65$	2.20258	+	1.27144i	0.273196	+	0.157703i
$66$	−23.8342	+	5.36770i	−2.93379	+	0.660719i
$67$	−12.1615	+	3.25867i	−1.48577	+	0.398110i	−0.908305	−	0.418308i	$-0.862623\pi$
$67$	−12.1615	+	3.25867i	−1.48577	+	0.398110i	−0.577461	+	0.816418i	$0.695957\pi$
$68$	3.84107	−	14.3351i	0.465798	−	1.73838i
$69$	−2.23198	+	7.16246i	−0.268699	+	0.862259i
$70$	13.0727	−	13.0746i	1.56248	−	1.56271i
$71$	−1.82146	−	1.05162i	−0.216168	−	0.124805i	0.388007	−	0.921657i	$-0.373164\pi$
$71$	−1.82146	−	1.05162i	−0.216168	−	0.124805i	−0.604175	+	0.796852i	$0.706497\pi$
$72$	−4.97560	+	13.9605i	−0.586380	+	1.64526i
$73$	1.66807	+	6.22532i	0.195233	+	0.728619i	0.992206	+	0.124605i	$0.0397663\pi$
$73$	1.66807	+	6.22532i	0.195233	+	0.728619i	−0.796974	+	0.604014i	$0.793567\pi$
$74$	11.3672	+	19.6885i	1.32141	+	2.28874i
$75$	−7.32021	−	4.62758i	−0.845266	−	0.534347i
$76$	0.628930	−	17.4871i	0.0721432	−	2.00591i
$77$	−18.7309	−	5.01894i	−2.13459	−	0.571961i
$78$	−4.08325	−	2.58214i	−0.462337	−	0.292370i
$79$	−15.3768	+	8.87781i	−1.73003	+	0.998832i	−0.840857	+	0.541257i	$0.817948\pi$
$79$	−15.3768	+	8.87781i	−1.73003	+	0.998832i	−0.889171	+	0.457575i	$0.848718\pi$
$80$	8.82700	+	2.36448i	0.986889	+	0.264357i
$81$	−5.69223	+	6.97126i	−0.632470	+	0.774585i
$82$	−4.79750	+	17.9045i	−0.529796	+	1.97722i
$83$	−0.987752	+	0.264667i	−0.108420	+	0.0290510i	−0.312621	−	0.949878i	$-0.601207\pi$
$83$	−0.987752	+	0.264667i	−0.108420	+	0.0290510i	0.204201	+	0.978929i	$0.434540\pi$
$84$	−17.2308	+	15.8956i	−1.88004	+	1.73435i
$85$	−7.15925	−	4.13268i	−0.776530	−	0.448253i
$86$	−6.39562	−	3.69251i	−0.689657	−	0.398174i
$87$	1.12987	−	1.78672i	0.121135	−	0.191556i
$88$	−7.35410	−	27.4459i	−0.783950	−	2.92574i
$89$	−0.860215	−	1.48994i	−0.0911827	−	0.157933i	0.816826	−	0.576884i	$-0.195731\pi$
$89$	−0.860215	−	1.48994i	−0.0911827	−	0.157933i	−0.908009	+	0.418951i	$0.862398\pi$
$90$	13.5398	+	9.34467i	1.42722	+	0.985015i
$91$	−1.91732	−	3.32090i	−0.200990	−	0.348125i
$92$	−16.7955	−	4.50034i	−1.75105	−	0.469193i
$93$	−8.03649	−	0.323924i	−0.833345	−	0.0335894i
$94$	−20.2862	+	11.7122i	−2.09236	+	1.20802i
$95$	−9.31814	−	2.85871i	−0.956021	−	0.293298i
$96$	−0.234762	−	0.0731569i	−0.0239603	−	0.00746655i
$97$	−0.696897	+	2.60085i	−0.0707591	+	0.264077i	−0.992238	−	0.124351i	$-0.960315\pi$
$97$	−0.696897	+	2.60085i	−0.0707591	+	0.264077i	0.921479	+	0.388428i	$0.126982\pi$
$98$	−10.3456	+	2.77210i	−1.04506	+	0.280024i
$99$	1.38871	−	17.1987i	0.139570	−	1.72854i
$100$	10.0335	−	17.3844i	1.00335	−	1.73844i
$101$			7.90985i			0.787059i	0.919312	+	0.393530i	$0.128746\pi$
$101$			7.90985i			0.787059i	−0.919312	+	0.393530i	$0.871254\pi$
$102$	13.2722	+	8.39298i	1.31414	+	0.831029i
$103$	11.4381	+	3.06482i	1.12703	+	0.301986i	0.773724	−	0.633523i	$-0.218392\pi$
$103$	11.4381	+	3.06482i	1.12703	+	0.301986i	0.353303	+	0.935509i	$0.385059\pi$
$104$	2.80940	−	4.86602i	0.275484	−	0.477153i
$105$	6.06910	+	11.5618i	0.592283	+	1.12832i
$106$	−6.10127	+	10.5677i	−0.592608	+	1.02643i
$107$	9.31834	−	9.31834i	0.900838	−	0.900838i	−0.0946704	−	0.995509i	$-0.530180\pi$
$107$	9.31834	−	9.31834i	0.900838	−	0.900838i	0.995509	+	0.0946704i	$0.0301797\pi$
$108$	−16.6757	−	12.5316i	−1.60462	−	1.20585i
$109$	−7.64806	−	4.41561i	−0.732551	−	0.422939i	0.0868036	−	0.996225i	$-0.472335\pi$
$109$	−7.64806	−	4.41561i	−0.732551	−	0.422939i	−0.819355	+	0.573287i	$0.805668\pi$
$110$	−31.5405	+	0.00235337i	−3.00727	+	0.000224385i
$111$	−15.6640	+	3.52769i	−1.48676	+	0.334834i
$112$	−9.74294	−	9.74294i	−0.920621	−	0.920621i
$113$	4.66093	−	17.3948i	0.438463	−	1.63637i	−0.294177	−	0.955751i	$-0.595045\pi$
$113$	4.66093	−	17.3948i	0.438463	−	1.63637i	0.732640	−	0.680616i	$-0.238288\pi$
$114$	17.4676	+	6.14034i	1.63599	+	0.575095i
$115$	−4.84201	+	8.38805i	−0.451519	+	0.782189i
$116$	4.24323	+	2.44983i	0.393974	+	0.227461i
$117$	2.59905	−	2.21069i	0.240282	−	0.204378i
$118$	−12.8747	−	3.44977i	−1.18521	−	0.317577i
$119$	6.23207	+	10.7943i	0.571293	+	0.989509i
$120$	−10.2251	+	16.1721i	−0.933418	+	1.47630i
$121$	11.0403	+	19.1223i	1.00366	+	1.73839i
$122$	−13.9619	−	3.74107i	−1.26405	−	0.338701i
$123$	−11.0646	−	6.99694i	−0.997660	−	0.630893i
$124$		−	18.6415i		−	1.67406i
$125$	−7.90746	−	7.90392i	−0.707265	−	0.706948i
$126$	−10.6336	−	22.4107i	−0.947312	−	1.99650i
$127$	−0.124693	+	0.465361i	−0.0110647	+	0.0412941i	−0.971237	−	0.238113i	$-0.923471\pi$
$127$	−0.124693	+	0.465361i	−0.0110647	+	0.0412941i	0.960173	+	0.279407i	$0.0901379\pi$
$128$	−5.04048	+	18.8113i	−0.445520	+	1.66270i
$129$	3.83362	−	3.53655i	0.337532	−	0.311376i
$130$	−4.41058	−	4.40992i	−0.386833	−	0.386776i
$131$			6.36469i			0.556085i	0.960569	+	0.278043i	$0.0896857\pi$
$131$			6.36469i			0.556085i	−0.960569	+	0.278043i	$0.910314\pi$
$132$	39.9593	+	1.61063i	3.47801	+	0.140187i
$133$	10.0116	+	10.7586i	0.868115	+	0.932888i
$134$	30.8774			2.66740
$135$	−9.14588	+	7.16609i	−0.787152	+	0.616759i
$136$	−9.13167	+	15.8165i	−0.783035	+	1.35626i
$137$	1.79878	−	1.79878i	0.153680	−	0.153680i	−0.626079	−	0.779759i	$-0.715341\pi$
$137$	1.79878	−	1.79878i	0.153680	−	0.153680i	0.779759	+	0.626079i	$0.215341\pi$
$138$	9.83353	−	15.5502i	0.837086	−	1.32372i
$139$	1.38289	+	0.798411i	0.117295	+	0.0677203i	0.557500	−	0.830177i	$-0.311761\pi$
$139$	1.38289	+	0.798411i	0.117295	+	0.0677203i	−0.440205	+	0.897897i	$0.645094\pi$
$140$	−26.2089	+	15.1343i	−2.21506	+	1.27908i
$141$	−3.63478	−	16.1395i	−0.306104	−	1.35919i
$142$	3.64730	+	3.64730i	0.306075	+	0.306075i
$143$	−1.69309	+	6.31868i	−0.141583	+	0.528395i
$144$	6.96474	−	10.0898i	0.580395	−	0.840819i
$145$	1.92966	−	1.92995i	0.160249	−	0.160273i
$146$		−	15.8057i		−	1.30809i
$147$	0.304650	−	7.55829i	0.0251271	−	0.623398i
$148$	−9.63173	−	35.9461i	−0.791723	−	2.95475i
$149$	−15.8113			−1.29532			−0.647658	−	0.761932i	$-0.724251\pi$
$149$	−15.8113			−1.29532			−0.647658	+	0.761932i	$0.724251\pi$
$150$	14.4033	+	15.6085i	1.17603	+	1.27443i
$151$	−0.296413	+	0.513402i	−0.0241217	+	0.0417801i	−0.877834	−	0.478964i	$-0.841012\pi$
$151$	−0.296413	+	0.513402i	−0.0241217	+	0.0417801i	0.853713	+	0.520745i	$0.174346\pi$
$152$	−6.31740	+	20.5864i	−0.512409	+	1.66978i
$153$	−8.44796	+	7.18563i	−0.682977	+	0.580924i
$154$	41.1854	+	23.7784i	3.31881	+	1.91612i
$155$	−10.0299	−	2.68670i	−0.805619	−	0.215801i
$156$	5.36222	+	5.81264i	0.429321	+	0.465384i
$157$	15.7080	+	15.7080i	1.25363	+	1.25363i	0.954079	+	0.299556i	$0.0968384\pi$
$157$	15.7080	+	15.7080i	1.25363	+	1.25363i	0.299556	+	0.954079i	$0.403162\pi$
$158$	42.0607	−	11.2701i	3.34617	−	0.896604i
$159$	−5.84358	−	6.33443i	−0.463426	−	0.502353i
$160$	−0.274933	−	0.158705i	−0.0217353	−	0.0125467i
$161$	12.6470	−	7.30173i	0.996721	−	0.575457i
$162$	17.9091	−	12.9009i	1.40707	−	1.01359i
$163$	8.34143	−	8.34143i	0.653351	−	0.653351i	−0.300447	−	0.953798i	$-0.597136\pi$
$163$	8.34143	−	8.34143i	0.653351	−	0.653351i	0.953798	+	0.300447i	$0.0971359\pi$
$164$	15.1710	−	26.2770i	1.18466	−	2.05189i
$165$	6.62568	−	21.2676i	0.515809	−	1.65568i
$166$	2.50785			0.194647
$167$	1.07791	+	4.02282i	0.0834113	+	0.311295i	0.995009	−	0.0997892i	$-0.0318168\pi$
$167$	1.07791	+	4.02282i	0.0834113	+	0.311295i	−0.911597	+	0.411084i	$0.865150\pi$
$168$	25.5450	−	13.4068i	1.97084	−	1.03436i
$169$	10.1381	−	5.85321i	0.779851	−	0.450247i
$170$	14.3362	+	14.3340i	1.09953	+	1.09937i
$171$	−7.81058	+	10.4878i	−0.597290	+	0.802025i
$172$	8.54796	+	8.54796i	0.651776	+	0.651776i
$173$	0.0980674	−	0.365992i	0.00745592	−	0.0278259i	−0.962098	−	0.272705i	$-0.912082\pi$
$173$	0.0980674	−	0.365992i	0.00745592	−	0.0278259i	0.969554	+	0.244879i	$0.0787483\pi$
$174$	−3.81061	+	3.51532i	−0.288881	+	0.266496i
$175$	4.36553	+	16.2827i	0.330003	+	1.23085i
$176$			23.5051i			1.77176i
$177$	5.03133	−	7.95627i	0.378178	−	0.598030i
$178$	1.09202	+	4.07547i	0.0818503	+	0.305470i
$179$	−7.63458			−0.570635			−0.285318	−	0.958433i	$-0.592099\pi$
$179$	−7.63458			−0.570635			−0.285318	+	0.958433i	$0.592099\pi$
$180$	−17.4493	−	20.5115i	−1.30059	−	1.52884i
$181$	−11.2355	−	19.4605i	−0.835130	−	1.44649i	−0.893925	−	0.448217i	$-0.852059\pi$
$181$	−11.2355	−	19.4605i	−0.835130	−	1.44649i	0.0587952	−	0.998270i	$-0.481274\pi$
$182$	2.43399	+	9.08377i	0.180419	+	0.673334i
$183$	5.45618	−	8.62811i	0.403333	−	0.637808i
$184$	18.5312	+	10.6990i	1.36614	+	0.788741i
$185$	−20.7286	+	0.00154665i	−1.52400	+	0.000113712i
$186$	18.8318	+	5.86838i	1.38081	+	0.430291i
$187$	5.50321	−	20.5383i	0.402435	−	1.50191i
$188$	37.0373	−	9.92411i	2.70122	−	0.723790i
$189$	17.3453	−	2.46105i	1.26169	−	0.179015i
$190$	20.2589	+	12.6865i	1.46974	+	0.920373i
$191$	10.7728	+	6.21968i	0.779493	+	0.450040i	0.836250	−	0.548348i	$-0.184743\pi$
$191$	10.7728	+	6.21968i	0.779493	+	0.450040i	−0.0567578	+	0.998388i	$0.518076\pi$
$192$	−11.4555	−	7.24414i	−0.826728	−	0.522800i
$193$	−9.17945	+	9.17945i	−0.660751	+	0.660751i	−0.955557	−	0.294806i	$-0.904745\pi$
$193$	−9.17945	+	9.17945i	−0.660751	+	0.660751i	0.294806	+	0.955557i	$0.404745\pi$
$194$	3.30171	−	5.71873i	0.237049	−	0.410581i
$195$	3.90026	−	2.04735i	0.279304	−	0.146614i
$196$	17.5323			1.25231
$197$	−6.42846	+	6.42846i	−0.458009	+	0.458009i	−0.898001	−	0.439993i	$-0.854981\pi$
$197$	−6.42846	+	6.42846i	−0.458009	+	0.458009i	0.439993	+	0.898001i	$0.354981\pi$
$198$	−14.2063	+	39.8601i	−1.00960	+	2.83273i
$199$	−16.4841	+	9.51711i	−1.16853	+	0.674650i	−0.953333	−	0.301921i	$-0.902372\pi$
$199$	−16.4841	+	9.51711i	−1.16853	+	0.674650i	−0.215195	+	0.976571i	$0.569039\pi$
$200$	−17.4637	+	17.4689i	−1.23487	+	1.23524i
$201$	−6.48795	+	20.8200i	−0.457625	+	1.46853i
$202$	5.02066	−	18.7374i	0.353253	−	1.31836i
$203$	−3.97480	+	1.06505i	−0.278977	+	0.0747515i
$204$	−17.4294	−	18.8934i	−1.22030	−	1.32280i
$205$	−11.9516	−	11.9498i	−0.834733	−	0.834609i
$206$	−25.1499	−	14.5203i	−1.75228	−	1.01168i
$207$	8.41895	+	9.89794i	0.585157	+	0.687954i
$208$	−3.28668	+	3.28668i	−0.227890	+	0.227890i
$209$	0.901085	−	25.0543i	0.0623293	−	1.73304i
$210$	−7.03818	−	31.2407i	−0.485680	−	2.15581i
$211$	8.54793			0.588464			0.294232	−	0.955734i	$-0.404936\pi$
$211$	8.54793			0.588464			0.294232	+	0.955734i	$0.404936\pi$
$212$	14.1241	−	14.1241i	0.970048	−	0.970048i
$213$	−3.22566	+	1.69293i	−0.221019	+	0.115997i
$214$	−27.9886	+	16.1592i	−1.91326	+	1.10462i
$215$	5.83112	−	3.36718i	0.397679	−	0.229640i
$216$	15.8308	+	20.2075i	1.07715	+	1.37495i
$217$	11.0706	+	11.0706i	0.751523	+	0.751523i
$218$	15.3145	+	15.3145i	1.03723	+	1.03723i
$219$	10.6575	+	3.32110i	0.720165	+	0.224419i
$220$	49.8708	+	13.3589i	3.36229	+	0.900655i
$221$	3.64133	−	2.10232i	0.244943	−	0.141418i
$222$	39.3451	+	1.58587i	2.64067	+	0.106437i
$223$	−4.07974	−	1.09316i	−0.273200	−	0.0732036i	0.119618	−	0.992820i	$-0.461833\pi$
$223$	−4.07974	−	1.09316i	−0.273200	−	0.0732036i	−0.392818	+	0.919616i	$0.628500\pi$
$224$	0.239327	+	0.414526i	0.0159907	+	0.0276967i
$225$	−13.5509	+	6.43219i	−0.903393	+	0.428813i
$226$	−22.0822	+	38.2476i	−1.46889	+	2.54419i
$227$	5.88803	+	21.9744i	0.390802	+	1.45849i	0.828814	+	0.559525i	$0.189016\pi$
$227$	5.88803	+	21.9744i	0.390802	+	1.45849i	−0.438011	+	0.898970i	$0.644317\pi$
$228$	−25.0173	−	17.1091i	−1.65681	−	1.13308i
$229$	7.05527	−	4.07336i	0.466225	−	0.269175i	−0.248433	−	0.968649i	$-0.579916\pi$
$229$	7.05527	−	4.07336i	0.466225	−	0.269175i	0.714658	+	0.699474i	$0.246582\pi$
$230$	16.7943	−	16.7968i	1.10738	−	1.10755i
$231$	−24.6871	+	22.7741i	−1.62429	+	1.49843i
$232$	−4.26358	−	4.26358i	−0.279918	−	0.279918i
$233$	20.5456	−	5.50517i	1.34599	−	0.360656i	0.487334	−	0.873216i	$-0.337969\pi$
$233$	20.5456	−	5.50517i	1.34599	−	0.360656i	0.858652	+	0.512560i	$0.171303\pi$
$234$	−7.56001	+	3.58712i	−0.494213	+	0.234497i
$235$	−0.00159360	−	21.3579i	−0.000103955	−	1.39323i
$236$	18.8951	+	10.9091i	1.22997	+	0.710123i
$237$	−1.23857	+	30.7287i	−0.0804539	+	1.99604i
$238$	−7.91144	−	29.5259i	−0.512823	−	1.91388i
$239$	9.61343	+	16.6510i	0.621841	+	1.07706i	0.989143	+	0.146959i	$0.0469485\pi$
$239$	9.61343	+	16.6510i	0.621841	+	1.07706i	−0.367301	+	0.930102i	$0.619718\pi$
$240$	11.6328	−	10.7330i	0.750896	−	0.692813i
$241$	−3.92796			−0.253022			−0.126511	−	0.991965i	$-0.540378\pi$
$241$	−3.92796			−0.253022			−0.126511	+	0.991965i	$0.540378\pi$
$242$	−14.0153	−	52.3059i	−0.900939	−	3.36235i
$243$	4.93577	+	14.7864i	0.316630	+	0.948549i
$244$	20.4907	+	11.8303i	1.31178	+	0.757357i
$245$	2.52683	−	9.43307i	0.161433	−	0.602657i
$246$	21.7693	+	23.5979i	1.38796	+	1.50455i
$247$	3.62930	−	3.37730i	0.230927	−	0.214893i
$248$	−5.93747	+	22.1589i	−0.377030	+	1.40709i
$249$	−0.526948	+	1.69099i	−0.0333940	+	0.107162i
$250$	13.7148	+	23.7425i	0.867402	+	1.50161i
$251$	16.4058	−	9.47190i	1.03553	−	0.597861i	0.116963	−	0.993136i	$-0.462684\pi$
$251$	16.4058	−	9.47190i	1.03553	−	0.597861i	0.918563	+	0.395275i	$0.129351\pi$
$252$	7.31851	+	39.9394i	0.461023	+	2.51595i
$253$	−24.0634	−	6.44777i	−1.51285	−	0.405368i
$254$	0.590762	−	1.02323i	0.0370677	−	0.0642032i
$255$	−12.6774	+	6.65470i	−0.793891	+	0.416733i
$256$	16.0552	−	27.8084i	1.00345	−	1.73802i
$257$	−1.36266	−	5.08550i	−0.0850002	−	0.317225i	0.910314	−	0.413918i	$-0.135840\pi$
$257$	−1.36266	−	5.08550i	−0.0850002	−	0.317225i	−0.995314	+	0.0966933i	$0.969173\pi$
$258$	−11.3261	+	5.94429i	−0.705133	+	0.370075i
$259$	27.0673	+	15.6273i	1.68188	+	0.971034i
$260$	5.10541	+	8.84130i	0.316624	+	0.548314i
$261$	−1.56962	−	3.30805i	−0.0971572	−	0.204763i
$262$	4.03990	−	15.0771i	0.249586	−	0.931466i
$263$	−3.62392	+	13.5246i	−0.223460	+	0.833965i	0.759555	+	0.650443i	$0.225417\pi$
$263$	−3.62392	+	13.5246i	−0.223460	+	0.833965i	−0.983016	+	0.183522i	$0.941250\pi$
$264$	−46.9861	−	14.6419i	−2.89179	−	0.901145i
$265$	−5.56371	−	9.63497i	−0.341776	−	0.591871i
$266$	−16.8873	−	31.8404i	−1.03542	−	1.95226i
$267$	−2.97746	−	0.120011i	−0.182217	−	0.00734458i
$268$	−48.8215	−	13.0817i	−2.98225	−	0.799090i
$269$	10.5503	−	18.2737i	0.643263	−	1.11416i	−0.341437	−	0.939905i	$-0.610914\pi$
$269$	10.5503	−	18.2737i	0.643263	−	1.11416i	0.984700	−	0.174260i	$-0.0557532\pi$
$270$	26.2140	−	11.1703i	1.59533	−	0.679802i
$271$	−6.19006	+	10.7215i	−0.376019	+	0.651285i	−0.990479	−	0.137664i	$-0.956041\pi$
$271$	−6.19006	+	10.7215i	−0.376019	+	0.651285i	0.614460	+	0.788948i	$0.289374\pi$
$272$	10.6830	−	10.6830i	0.647754	−	0.647754i
$273$	−6.63642	−	0.267492i	−0.401654	−	0.0161894i
$274$	−5.40283	+	3.11932i	−0.326397	+	0.188445i
$275$	14.3752	−	24.9072i	0.866858	−	1.50196i
$276$	−22.1362	+	20.4209i	−1.33245	+	1.22919i
$277$	−0.0651439	+	0.0174553i	−0.00391412	+	0.00104878i	−0.260776	−	0.965399i	$-0.583978\pi$
$277$	−0.0651439	+	0.0174553i	−0.00391412	+	0.00104878i	0.256861	+	0.966448i	$0.417312\pi$
$278$	−2.76910	−	2.76910i	−0.166079	−	0.166079i
$279$	−7.91384	+	11.4648i	−0.473789	+	0.686379i
$280$	35.9746	−	9.64225i	2.14989	−	0.576235i
$281$		−	0.288749i		−	0.0172253i	−0.999963	−	0.00861266i	$-0.997258\pi$
$281$		−	0.288749i		−	0.0172253i	0.999963	−	0.00861266i	$-0.00274153\pi$
$282$	−1.63401	+	40.5394i	−0.0973040	+	2.41409i
$283$	16.6469	−	16.6469i	0.989557	−	0.989557i	−0.0103892	−	0.999946i	$-0.503307\pi$
$283$	16.6469	−	16.6469i	0.989557	−	0.989557i	0.999946	+	0.0103892i	$0.00330705\pi$
$284$	−4.22165	−	7.31212i	−0.250509	−	0.433894i
$285$	−12.8110	+	10.9945i	−0.758858	+	0.651256i
$286$	8.02139	−	13.8935i	0.474315	−	0.821537i
$287$	6.59550	+	24.6147i	0.389320	+	1.45296i
$288$	−0.324422	+	0.275946i	−0.0191168	+	0.0162603i
$289$	2.88664	−	1.66660i	0.169802	−	0.0980353i
$290$	−5.79611	+	3.34696i	−0.340359	+	0.196540i
$291$	3.16226	+	3.42789i	0.185375	+	0.200946i
$292$	−6.69634	+	24.9911i	−0.391873	+	1.46249i
$293$	2.42016	−	9.03218i	0.141388	−	0.527665i	−0.858502	−	0.512810i	$-0.828605\pi$
$293$	2.42016	−	9.03218i	0.141388	−	0.527665i	0.999890	−	0.0148554i	$-0.00472880\pi$
$294$	−5.51920	+	17.7112i	−0.321886	+	1.03294i
$295$	8.59279	−	8.59407i	0.500292	−	0.500366i
$296$			45.7965i			2.66187i
$297$	−23.8917	−	17.9544i	−1.38634	−	1.04182i
$298$	37.4549	+	10.0360i	2.16971	+	0.581371i
$299$	−2.46316	−	4.26632i	−0.142448	−	0.246728i
$300$	−16.1609	−	30.7814i	−0.933048	−	1.77716i
$301$	−10.1528			−0.585195
$302$	1.02804	−	1.02804i	0.0591569	−	0.0591569i
$303$	11.5793	+	7.32241i	0.665211	+	0.420662i
$304$	9.45555	−	15.0970i	0.542313	−	0.865871i
$305$	9.31838	−	9.31977i	0.533569	−	0.533648i
$306$	24.5731	−	11.6596i	1.40475	−	0.666534i
$307$	29.4084	−	7.87995i	1.67842	−	0.449732i	0.711062	−	0.703129i	$-0.248215\pi$
$307$	29.4084	−	7.87995i	1.67842	−	0.449732i	0.967362	+	0.253397i	$0.0815479\pi$
$308$	−55.0457	−	55.0457i	−3.13652	−	3.13652i
$309$	15.0752	−	13.9070i	0.857599	−	0.791144i
$310$	22.0541	+	12.7308i	1.25259	+	0.723058i
$311$	18.6798	−	10.7848i	1.05924	−	0.611550i	0.134016	−	0.990979i	$-0.457213\pi$
$311$	18.6798	−	10.7848i	1.05924	−	0.611550i	0.925221	+	0.379429i	$0.123879\pi$
$312$	−4.52264	−	8.61733i	−0.256044	−	0.487860i
$313$	21.1922	−	21.1922i	1.19785	−	1.19785i	0.223046	−	0.974808i	$-0.428400\pi$
$313$	21.1922	−	21.1922i	1.19785	−	1.19785i	0.974808	−	0.223046i	$-0.0715999\pi$
$314$	−27.2397	−	47.1806i	−1.53723	−	2.66255i
$315$	22.5438	+	1.81860i	1.27020	+	0.102466i
$316$	−71.2786			−4.00973
$317$	0.384284	−	0.384284i	0.0215835	−	0.0215835i	−0.696233	−	0.717816i	$-0.745142\pi$
$317$	0.384284	−	0.384284i	0.0215835	−	0.0215835i	0.717816	+	0.696233i	$0.245142\pi$
$318$	9.82197	+	18.7146i	0.550789	+	1.04946i
$319$	6.07939	+	3.50994i	0.340380	+	0.196519i
$320$	−12.3738	−	12.3719i	−0.691716	−	0.691613i
$321$	−5.01486	−	22.2675i	−0.279902	−	1.24285i
$322$	−34.5936	+	9.26934i	−1.92783	+	0.516560i
$323$	−11.7967	+	10.9776i	−0.656385	+	0.610810i
$324$	−33.7823	+	12.8107i	−1.87680	+	0.711706i
$325$	5.49279	−	1.47267i	0.304685	−	0.0816889i
$326$	−25.0543	+	14.4651i	−1.38763	+	0.801150i
$327$	−13.5441	+	7.10835i	−0.748990	+	0.393093i
$328$	−26.4031	+	26.4031i	−1.45787	+	1.45787i
$329$	−16.1017	+	27.8890i	−0.887716	+	1.53757i
$330$	−29.1946	+	46.1744i	−1.60711	+	2.54182i
$331$	15.2928	−	26.4880i	0.840570	−	1.45591i	−0.0488428	−	0.998806i	$-0.515553\pi$
$331$	15.2928	−	26.4880i	0.840570	−	1.45591i	0.889413	−	0.457104i	$-0.151113\pi$
$332$	−3.96525	−	1.06249i	−0.217621	−	0.0583115i
$333$	−9.33648	+	26.1963i	−0.511636	+	1.43555i
$334$		−	10.2137i		−	0.558870i
$335$	−14.0748	+	24.3825i	−0.768990	+	1.33216i
$336$	−23.2821	+	5.24337i	−1.27014	+	0.286049i
$337$	8.15873	+	8.15873i	0.444434	+	0.444434i	0.893499	−	0.449065i	$-0.148243\pi$
$337$	8.15873	+	8.15873i	0.444434	+	0.444434i	−0.449065	+	0.893499i	$0.648243\pi$
$338$	−27.7310	+	7.43049i	−1.50837	+	0.404165i
$339$	−21.1496	−	22.9261i	−1.14869	−	1.24518i
$340$	−16.5946	−	28.7378i	−0.899970	−	1.55852i
$341$		−	26.7082i		−	1.44633i
$342$	25.1592	−	19.8866i	1.36046	−	1.07535i
$343$	6.27641	−	6.27641i	0.338894	−	0.338894i
$344$	−7.43827	−	12.8835i	−0.401044	−	0.694629i
$345$	7.79689	+	14.8533i	0.419771	+	0.799677i
$346$	−0.464617	+	0.804741i	−0.0249780	+	0.0432631i
$347$	15.5731	−	15.5731i	0.836009	−	0.836009i	−0.152322	−	0.988331i	$-0.548675\pi$
$347$	15.5731	−	15.5731i	0.836009	−	0.836009i	0.988331	+	0.152322i	$0.0486749\pi$
$348$	7.51441	−	3.94379i	0.402815	−	0.211409i
$349$	5.61818	+	3.24366i	0.300734	+	0.173629i	0.642773	−	0.766057i	$-0.277784\pi$
$349$	5.61818	+	3.24366i	0.300734	+	0.173629i	−0.342038	+	0.939686i	$0.611117\pi$
$350$	−0.00616948	−	41.3424i	−0.000329772	−	2.20985i
$351$	−0.830210	−	5.85127i	−0.0443134	−	0.312318i
$352$	0.211337	−	0.788719i	0.0112643	−	0.0420389i
$353$	−26.9603	+	7.22400i	−1.43495	+	0.384495i	−0.890764	−	0.454467i	$-0.849830\pi$
$353$	−26.9603	+	7.22400i	−1.43495	+	0.384495i	−0.544190	+	0.838962i	$0.683163\pi$
$354$	−16.9687	+	15.6538i	−0.901875	+	0.831989i
$355$	−4.54266	+	1.21756i	−0.241099	+	0.0646216i
$356$		−	6.90653i		−	0.366045i
$357$	21.5710	+	0.869457i	1.14166	+	0.0460165i
$358$	18.0853	+	4.84594i	0.955838	+	0.256116i
$359$	7.05464	−	12.2190i	0.372329	−	0.644894i	−0.617594	−	0.786497i	$-0.711892\pi$
$359$	7.05464	−	12.2190i	0.372329	−	0.644894i	0.989923	+	0.141604i	$0.0452258\pi$
$360$	14.2086	+	29.9396i	0.748861	+	1.57795i
$361$	−10.6575	+	15.7295i	−0.560921	+	0.827869i
$362$	14.2632	+	53.2309i	0.749656	+	2.79775i
$363$	38.2136	+	1.54027i	2.00570	+	0.0808430i
$364$		−	15.3939i		−	0.806859i
$365$	12.4811	+	7.20472i	0.653290	+	0.377112i
$366$	−18.4015	+	16.9756i	−0.961864	+	0.887329i
$367$	−12.7277	−	12.7277i	−0.664380	−	0.664380i	0.292030	−	0.956409i	$-0.405669\pi$
$367$	−12.7277	−	12.7277i	−0.664380	−	0.664380i	−0.956409	+	0.292030i	$0.905669\pi$
$368$	−12.5166	−	12.5166i	−0.652474	−	0.652474i
$369$	−20.4857	+	9.72019i	−1.06644	+	0.506013i
$370$	49.1043	+	13.1535i	2.55281	+	0.683820i
$371$			16.7758i			0.870955i
$372$	−27.2894	−	17.2571i	−1.41489	−	0.894738i
$373$	−17.7528	−	4.75684i	−0.919203	−	0.246300i	−0.231958	−	0.972726i	$-0.574513\pi$
$373$	−17.7528	−	4.75684i	−0.919203	−	0.246300i	−0.687245	+	0.726426i	$0.741180\pi$
$374$	−26.0727	+	45.1593i	−1.34819	+	2.33513i
$375$	−18.8908	+	4.25884i	−0.975517	+	0.219926i
$376$	−47.1867			−2.43347
$377$	0.359282	+	1.34086i	0.0185040	+	0.0690577i
$378$	−42.6509	−	5.17981i	−2.19373	−	0.266421i
$379$			7.56764i			0.388724i	0.980930	+	0.194362i	$0.0622636\pi$
$379$			7.56764i			0.388724i	−0.980930	+	0.194362i	$0.937736\pi$
$380$	−26.6573	−	28.6420i	−1.36749	−	1.46931i
$381$	0.565811	+	0.613339i	0.0289874	+	0.0314223i
$382$	−21.5715	−	21.5715i	−1.10369	−	1.10369i
$383$	22.9560	+	22.9560i	1.17300	+	1.17300i	0.981492	+	0.191505i	$0.0613367\pi$
$383$	22.9560	+	22.9560i	1.17300	+	1.17300i	0.191505	+	0.981492i	$0.438663\pi$
$384$	22.8719	+	24.7931i	1.16717	+	1.26522i
$385$	−37.5502	+	21.6834i	−1.91374	+	1.10509i
$386$	27.5714	−	15.9184i	1.40335	−	0.810223i
$387$	−1.62827	−	8.88597i	−0.0827694	−	0.451699i
$388$	−7.64328	+	7.64328i	−0.388029	+	0.388029i
$389$	10.3976			0.527178			0.263589	−	0.964635i	$-0.415094\pi$
$389$	10.3976			0.527178			0.263589	+	0.964635i	$0.415094\pi$
$390$	−10.5387	+	2.37426i	−0.533649	+	0.120225i
$391$	8.00626	+	13.8673i	0.404894	+	0.701297i
$392$	−20.8404	−	5.58417i	−1.05260	−	0.282043i
$393$	9.31730	+	5.89201i	0.469995	+	0.297212i
$394$	19.3085	−	11.1478i	0.972750	−	0.561618i
$395$	−10.2730	+	38.3507i	−0.516890	+	1.92963i
$396$	39.3494	−	57.0055i	1.97738	−	2.86464i
$397$	−22.9480	+	6.14890i	−1.15173	+	0.308604i	−0.783657	−	0.621194i	$-0.786648\pi$
$397$	−22.9480	+	6.14890i	−1.15173	+	0.308604i	−0.368070	+	0.929798i	$0.619981\pi$
$398$	45.0895	−	12.0817i	2.26013	−	0.605601i
$399$	25.0176	−	4.69642i	1.25245	−	0.235115i
$400$	17.6945	−	10.2195i	0.884727	−	0.510973i
$401$			8.78253i			0.438579i	0.975660	+	0.219289i	$0.0703738\pi$
$401$			8.78253i			0.438579i	−0.975660	+	0.219289i	$0.929626\pi$
$402$	28.5843	−	45.2016i	1.42565	−	2.25445i
$403$	3.73456	−	3.73456i	0.186032	−	0.186032i
$404$	−15.8767	+	27.4993i	−0.789897	+	1.36814i
$405$	2.02381	+	20.0226i	0.100564	+	0.994931i
$406$	10.0918			0.500848
$407$	−13.7996	−	51.5010i	−0.684023	−	2.55281i
$408$	14.7004	+	28.0098i	0.727777	+	1.38669i
$409$	14.1731	+	8.18285i	0.700816	+	0.404616i	0.807651	−	0.589661i	$-0.200739\pi$
$409$	14.1731	+	8.18285i	0.700816	+	0.404616i	−0.106836	+	0.994277i	$0.534072\pi$
$410$	20.7267	+	35.8935i	1.02362	+	1.77265i
$411$	−0.968052	−	4.29844i	−0.0477505	−	0.212026i
$412$	33.6137	+	33.6137i	1.65603	+	1.65603i
$413$	−17.6998	+	4.74266i	−0.870953	+	0.233371i
$414$	−13.6608	−	28.7907i	−0.671391	−	1.41499i
$415$	−1.14315	+	1.98033i	−0.0561150	+	0.0972108i
$416$	0.139836	−	0.0807344i	0.00685603	−	0.00395833i
$417$	2.44898	−	1.28530i	0.119927	−	0.0629414i
$418$	−18.0374	+	58.7784i	−0.882239	+	2.87495i
$419$	−2.80195	−	4.85312i	−0.136884	−	0.237091i	0.789431	−	0.613839i	$-0.210376\pi$
$419$	−2.80195	−	4.85312i	−0.136884	−	0.237091i	−0.926316	+	0.376748i	$0.877042\pi$
$420$	−2.10726	+	52.3777i	−0.102824	+	2.55577i
$421$	1.20696	+	2.09052i	0.0588236	+	0.101885i	0.893938	−	0.448191i	$-0.147932\pi$
$421$	1.20696	+	2.09052i	0.0588236	+	0.101885i	−0.835114	+	0.550077i	$0.814598\pi$
$422$	−20.2489	−	5.42568i	−0.985701	−	0.264118i
$423$	−26.9915	−	9.61991i	−1.31237	−	0.467736i
$424$	−21.2878	+	12.2905i	−1.03383	+	0.596880i
$425$	−17.8538	+	4.78676i	−0.866035	+	0.232192i
$426$	8.71573	−	1.96287i	0.422279	−	0.0951014i
$427$	−19.1945	+	5.14314i	−0.928885	+	0.248894i
$428$	51.0999	−	13.6922i	2.47001	−	0.661837i
$429$	7.68260	+	8.32794i	0.370920	+	0.402077i
$430$	−15.9504	+	4.27517i	−0.769197	+	0.206167i
$431$	26.3964	−	15.2400i	1.27147	−	0.734084i	0.296205	−	0.955124i	$-0.404279\pi$
$431$	26.3964	−	15.2400i	1.27147	−	0.734084i	0.975265	+	0.221041i	$0.0709453\pi$
$432$	−8.32304	−	19.5362i	−0.400443	−	0.939936i
$433$	1.44969	+	0.388444i	0.0696678	+	0.0186674i	0.293485	−	0.955964i	$-0.405185\pi$
$433$	1.44969	+	0.388444i	0.0696678	+	0.0186674i	−0.223817	+	0.974631i	$0.571852\pi$
$434$	−19.1979	−	33.2518i	−0.921530	−	1.59614i
$435$	−1.03891	−	4.61145i	−0.0498118	−	0.221102i
$436$	−17.7261	−	30.7025i	−0.848927	−	1.47038i
$437$	12.8618	+	13.8214i	0.615261	+	0.661168i
$438$	−23.1381	−	14.6319i	−1.10558	−	0.699140i
$439$	−1.18047	+	0.681547i	−0.0563409	+	0.0325284i	−0.527906	−	0.849303i	$-0.677023\pi$
$439$	−1.18047	+	0.681547i	−0.0563409	+	0.0325284i	0.471565	+	0.881831i	$0.343689\pi$
$440$	−55.0260	−	31.7638i	−2.62326	−	1.51428i
$441$	−10.7826	−	7.44295i	−0.513457	−	0.354426i
$442$	−9.96026	+	2.66884i	−0.473761	+	0.126944i
$443$	1.81962	+	1.81962i	0.0864526	+	0.0864526i	0.749011	−	0.662558i	$-0.230529\pi$
$443$	1.81962	+	1.81962i	0.0864526	+	0.0864526i	−0.662558	+	0.749011i	$0.730529\pi$
$444$	−61.5381	−	19.1766i	−2.92047	−	0.910081i
$445$	−3.71599	−	0.995400i	−0.176155	−	0.0471865i
$446$	8.97049	+	5.17912i	0.424765	+	0.245238i
$447$	−14.6371	+	23.1463i	−0.692310	+	1.09478i
$448$	6.82851	+	25.4843i	0.322617	+	1.20402i
$449$	−22.8860			−1.08006			−0.540029	−	0.841647i	$-0.681587\pi$
$449$	−22.8860			−1.08006			−0.540029	+	0.841647i	$0.681587\pi$
$450$	36.1830	−	6.63576i	1.70568	−	0.312813i
$451$	21.7360	−	37.6478i	1.02351	−	1.77276i
$452$	51.1192	−	51.1192i	2.40445	−	2.40445i
$453$	0.477173	+	0.909194i	0.0224195	+	0.0427177i
$454$		−	55.7919i		−	2.61844i
$455$	−8.28253	−	2.21864i	−0.388291	−	0.104011i
$456$	24.2884	+	28.3056i	1.13741	+	1.32553i
$457$	−22.9596	+	6.15202i	−1.07401	+	0.287779i	−0.752138	−	0.659005i	$-0.770978\pi$
$457$	−22.9596	+	6.15202i	−1.07401	+	0.287779i	−0.321868	+	0.946784i	$0.604311\pi$
$458$	−19.2985	+	5.17102i	−0.901760	+	0.241626i
$459$	2.69852	+	19.0190i	0.125956	+	0.887730i
$460$	−33.6702	+	19.4429i	−1.56988	+	0.906529i
$461$	−3.17765	+	1.83461i	−0.147998	+	0.0854465i	−0.572170	−	0.820135i	$-0.693898\pi$
$461$	−3.17765	+	1.83461i	−0.147998	+	0.0854465i	0.424173	+	0.905581i	$0.360565\pi$
$462$	72.9360	−	38.2790i	3.39329	−	1.78090i
$463$	16.0922	+	4.31188i	0.747866	+	0.200390i	0.612571	−	0.790415i	$-0.290135\pi$
$463$	16.0922	+	4.31188i	0.747866	+	0.200390i	0.135295	+	0.990805i	$0.456802\pi$
$464$	2.49395	+	4.31966i	0.115779	+	0.200535i
$465$	−13.2181	+	12.1956i	−0.612973	+	0.565558i
$466$	−52.1641			−2.41645
$467$	−18.5114	+	18.5114i	−0.856604	+	0.856604i	−0.990936	−	0.134332i	$-0.957111\pi$
$467$	−18.5114	+	18.5114i	−0.856604	+	0.856604i	0.134332	+	0.990936i	$0.457111\pi$
$468$	13.4731	−	2.46882i	0.622797	−	0.114121i
$469$	36.7624	−	21.2248i	1.69753	−	0.980070i
$470$	−13.5528	+	50.5949i	−0.625145	+	2.33377i
$471$	37.5364	−	8.45359i	1.72959	−	0.389521i
$472$	−18.9858	−	18.9858i	−0.873892	−	0.873892i
$473$	12.2469	+	12.2469i	0.563113	+	0.563113i
$474$	22.4386	−	72.0060i	1.03064	−	3.30735i
$475$	−19.2525	+	10.2147i	−0.883367	+	0.468682i
$476$			50.0363i			2.29341i
$477$	−14.6826	+	2.69044i	−0.672270	+	0.123187i
$478$	−12.2040	−	45.5459i	−0.558197	−	2.08322i
$479$	1.15876			0.0529449			0.0264724	−	0.999650i	$-0.491573\pi$
$479$	1.15876			0.0529449			0.0264724	+	0.999650i	$0.491573\pi$
$480$	−0.486844	+	0.255557i	−0.0222213	+	0.0116645i
$481$	5.27171	−	9.13087i	0.240369	−	0.416332i
$482$	9.30482	+	2.49322i	0.423823	+	0.113563i
$483$	1.01869	−	25.2734i	0.0463519	−	1.14998i
$484$			88.6407i			4.02912i
$485$	3.01081	+	5.21398i	0.136714	+	0.236754i
$486$	−2.30671	−	38.1600i	−0.104634	−	1.73097i
$487$	11.1462	+	11.1462i	0.505083	+	0.505083i	0.913013	−	0.407930i	$-0.133749\pi$
$487$	11.1462	+	11.1462i	0.505083	+	0.505083i	−0.407930	+	0.913013i	$0.633749\pi$
$488$	−20.5890	−	20.5890i	−0.932019	−	0.932019i
$489$	−4.48912	−	19.9330i	−0.203005	−	0.901402i
$490$	−11.9732	+	20.7418i	−0.540895	+	0.937020i
$491$		−	20.9964i		−	0.947554i	−0.880645	−	0.473777i	$-0.842890\pi$
$491$		−	20.9964i		−	0.947554i	0.880645	−	0.473777i	$-0.157110\pi$
$492$	−24.4227	−	46.5345i	−1.10106	−	2.09794i
$493$	−1.16781	−	4.35833i	−0.0525955	−	0.196289i
$494$	−10.7410	+	5.69674i	−0.483261	+	0.256308i
$495$	−25.0000	−	29.3875i	−1.12367	−	1.32087i
$496$	9.48864	−	16.4348i	0.426053	−	0.737945i
$497$	6.84956	+	1.83533i	0.307245	+	0.0823260i
$498$	2.32160	−	3.67125i	0.104033	−	0.164513i
$499$			13.5979i			0.608727i	0.952556	+	0.304363i	$0.0984437\pi$
$499$			13.5979i			0.608727i	−0.952556	+	0.304363i	$0.901556\pi$
$500$	−11.6262	−	43.3506i	−0.519938	−	1.93870i
$501$	6.88689	+	2.14610i	0.307683	+	0.0958807i
$502$	−44.8754	+	12.0243i	−2.00289	+	0.536672i
$503$	−1.04345	+	3.89422i	−0.0465253	+	0.173635i	−0.985279	−	0.170954i	$-0.945315\pi$
$503$	−1.04345	+	3.89422i	−0.0465253	+	0.173635i	0.938754	+	0.344589i	$0.111982\pi$
$504$	4.02161	−	49.8065i	0.179137	−	2.21856i
$505$	12.5075	+	12.5056i	0.556576	+	0.556493i
$506$	52.9103	+	30.5478i	2.35215	+	1.35802i
$507$	0.816600	−	20.2597i	0.0362665	−	0.899763i
$508$	−1.36758	+	1.36758i	−0.0606767	+	0.0606767i
$509$	−0.0646649	+	0.112003i	−0.00286622	+	0.00496444i	−0.867455	−	0.497516i	$-0.834246\pi$
$509$	−0.0646649	+	0.112003i	−0.00286622	+	0.00496444i	0.864589	+	0.502480i	$0.167579\pi$
$510$	34.2551	−	7.71728i	1.51684	−	0.341727i
$511$	−10.8647	−	18.8182i	−0.480626	−	0.832468i
$512$	−28.1418	+	28.1418i	−1.24370	+	1.24370i
$513$	8.12267	+	21.1429i	0.358625	+	0.933482i
$514$			12.9118i			0.569515i
$515$	22.9301	−	13.2410i	1.01042	−	0.583467i
$516$	20.4265	−	4.60027i	0.899228	−	0.202515i
$517$	53.0644	−	14.2186i	2.33377	−	0.625331i
$518$	−54.1996	−	54.1996i	−2.38140	−	2.38140i
$519$	−0.444994	−	0.482373i	−0.0195331	−	0.0211738i
$520$	−3.25271	−	12.1357i	−0.142641	−	0.532184i
$521$			1.65944i			0.0727013i	0.999339	+	0.0363506i	$0.0115733\pi$
$521$			1.65944i			0.0727013i	−0.999339	+	0.0363506i	$0.988427\pi$
$522$	1.61849	+	8.83262i	0.0708394	+	0.386593i
$523$	−26.6545	−	7.14206i	−1.16552	−	0.312300i	−0.376352	−	0.926477i	$-0.622822\pi$
$523$	−26.6545	−	7.14206i	−1.16552	−	0.312300i	−0.789169	+	0.614176i	$0.789488\pi$
$524$	−12.7753	+	22.1274i	−0.558090	+	0.966640i
$525$	27.8776	+	8.68269i	1.21668	+	0.378944i
$526$	17.1691	−	29.7378i	0.748610	−	1.29663i
$527$	−12.1388	+	12.1388i	−0.528776	+	0.528776i
$528$	34.4092	+	21.7595i	1.49747	+	0.946960i
$529$	−3.67119	+	2.11956i	−0.159617	+	0.0921549i
$530$	7.06403	+	26.3554i	0.306842	+	1.14481i
$531$	−6.98955	−	14.7308i	−0.303320	−	0.639261i
$532$	13.2114	+	57.4986i	0.572788	+	2.49288i
$533$	8.30353	−	2.22492i	0.359666	−	0.0963721i
$534$	6.97702	+	2.17419i	0.301925	+	0.0940864i
$535$	−0.00219867	−	29.4672i	−9.50570e−5	−	1.27398i
$536$	53.8669	+	31.1001i	2.32669	+	1.34332i
$537$	−7.06759	+	11.1763i	−0.304989	+	0.482293i
$538$	−36.5912	+	36.5912i	−1.57756	+	1.57756i
$539$	25.1190			1.08195
$540$	−46.1803	+	6.55583i	−1.98729	+	0.282118i
$541$	−14.5333	−	25.1724i	−0.624834	−	1.08224i	−0.988573	−	0.150743i	$-0.951833\pi$
$541$	−14.5333	−	25.1724i	−0.624834	−	1.08224i	0.363739	−	0.931501i	$-0.381500\pi$
$542$	21.4688	−	21.4688i	0.922162	−	0.922162i
$543$	−38.8894	−	1.56750i	−1.66890	−	0.0672680i
$544$	−0.454523	+	0.262419i	−0.0194875	+	0.0112511i
$545$	−19.0740	+	5.11238i	−0.817038	+	0.218990i
$546$	15.5510	+	4.84603i	0.665522	+	0.207391i
$547$	26.1790	+	26.1790i	1.11933	+	1.11933i	0.991839	+	0.127494i	$0.0406935\pi$
$547$	26.1790	+	26.1790i	1.11933	+	1.11933i	0.127494	+	0.991839i	$0.459307\pi$
$548$	9.86416	−	2.64309i	0.421376	−	0.112907i
$549$	−7.57976	−	15.9747i	−0.323496	−	0.681782i
$550$	−49.8624	+	49.8773i	−2.12614	+	2.12678i
$551$	−2.49273	−	4.69997i	−0.106194	−	0.200225i
$552$	32.8173	−	17.2235i	1.39680	−	0.733081i
$553$	42.3302	−	42.3302i	1.80006	−	1.80006i
$554$	0.165397			0.00702703
$555$	−19.1869	+	30.3461i	−0.814439	+	1.28812i
$556$	3.20516	+	5.55149i	0.135929	+	0.235436i
$557$	−5.83092	−	1.56239i	−0.247064	−	0.0662006i	0.133162	−	0.991094i	$-0.457487\pi$
$557$	−5.83092	−	1.56239i	−0.247064	−	0.0662006i	−0.380226	+	0.924894i	$0.624154\pi$
$558$	26.0240	−	22.1354i	1.10168	−	0.937064i
$559$			3.42493i			0.144859i
$560$	−30.8099	+	0.00229886i	−1.30196	+	9.71445e-5i
$561$	−24.9715	−	27.0691i	−1.05430	−	1.14286i
$562$	−0.183279	+	0.684008i	−0.00773117	+	0.0288531i
$563$	−5.36682	+	20.0292i	−0.226184	+	0.844132i	0.755742	+	0.654869i	$0.227276\pi$
$563$	−5.36682	+	20.0292i	−0.226184	+	0.844132i	−0.981927	+	0.189262i	$0.939390\pi$
$564$	19.7587	−	63.4062i	0.831992	−	2.66988i
$565$	−20.1367	−	34.8717i	−0.847156	−	1.46706i
$566$	−50.0007	+	28.8679i	−2.10169	+	1.21341i
$567$	12.4544	−	27.6702i	0.523037	−	1.16204i
$568$	2.68926	+	10.0365i	0.112839	+	0.421120i
$569$	11.1862	−	19.3750i	0.468948	−	0.812242i	−0.530422	−	0.847734i	$-0.677967\pi$
$569$	11.1862	−	19.3750i	0.468948	−	0.812242i	0.999370	+	0.0354921i	$0.0112998\pi$
$570$	37.3261	−	17.9128i	1.56342	−	0.750285i
$571$	1.57559	+	2.72900i	0.0659363	+	0.114205i	0.897109	−	0.441809i	$-0.145663\pi$
$571$	1.57559	+	2.72900i	0.0659363	+	0.114205i	−0.831173	+	0.556014i	$0.812330\pi$
$572$	−18.5691	+	18.5691i	−0.776413	+	0.776413i
$573$	19.0778	−	10.0126i	0.796985	−	0.418282i
$574$		−	62.4954i		−	2.60851i
$575$	5.60834	+	20.9181i	0.233884	+	0.872347i
$576$	−21.2094	+	10.0636i	−0.883727	+	0.419316i
$577$	15.1117	+	15.1117i	0.629107	+	0.629107i	0.947843	−	0.318737i	$-0.103259\pi$
$577$	15.1117	+	15.1117i	0.629107	+	0.629107i	−0.318737	+	0.947843i	$0.603259\pi$
$578$	−7.89591	+	2.11570i	−0.328427	+	0.0880016i
$579$	4.94011	+	21.9356i	0.205304	+	0.911611i
$580$	10.5824	−	2.83640i	0.439412	−	0.117775i
$581$	2.98582	−	1.72387i	0.123873	−	0.0715180i
$582$	−5.31517	−	10.1274i	−0.220321	−	0.419795i
$583$	20.2360	−	20.2360i	0.838090	−	0.838090i
$584$	15.9197	−	27.5737i	0.658762	−	1.14101i
$585$	0.613484	−	7.60491i	0.0253645	−	0.314424i
$586$	−11.4661	+	19.8599i	−0.473660	+	0.820403i
$587$	−37.9107	−	10.1581i	−1.56474	−	0.419271i	−0.630581	−	0.776123i	$-0.717183\pi$
$587$	−37.9107	−	10.1581i	−1.56474	−	0.419271i	−0.934161	+	0.356852i	$0.883850\pi$
$588$	16.2302	−	25.6656i	0.669323	−	1.05843i
$589$	−10.7441	+	17.1543i	−0.442702	+	0.706829i
$590$	−25.8101	+	14.9041i	−1.06259	+	0.613590i
$591$	3.45961	+	15.3617i	0.142309	+	0.631896i
$592$	9.80522	−	36.5936i	0.402992	−	1.50399i
$593$	−2.24758	+	8.38808i	−0.0922970	+	0.344457i	−0.996596	−	0.0824430i	$-0.973728\pi$
$593$	−2.24758	+	8.38808i	−0.0922970	+	0.344457i	0.904299	+	0.426900i	$0.140394\pi$
$594$	45.2001	+	57.6965i	1.85458	+	2.36732i
$595$	26.9215	+	7.21145i	1.10368	+	0.295641i
$596$	−54.9695	−	31.7367i	−2.25164	−	1.29998i
$597$	−1.32776	+	32.9415i	−0.0543417	+	1.34821i
$598$	3.12692	+	11.6698i	0.127869	+	0.477214i
$599$	0.187447	−	0.324667i	0.00765886	−	0.0132655i	−0.862171	−	0.506618i	$-0.830895\pi$
$599$	0.187447	−	0.324667i	0.00765886	−	0.0132655i	0.869829	+	0.493353i	$0.164229\pi$
$600$	9.40611	+	41.7368i	0.384003	+	1.70390i
$601$	23.1964	−	40.1773i	0.946201	−	1.63887i	0.192872	−	0.981224i	$-0.438220\pi$
$601$	23.1964	−	40.1773i	0.946201	−	1.63887i	0.753329	−	0.657644i	$-0.228447\pi$
$602$	24.0505	+	6.44432i	0.980226	+	0.262651i
$603$	24.4723	+	28.7715i	0.996591	+	1.17167i
$604$	−2.06101	+	1.18993i	−0.0838614	+	0.0484174i
$605$	47.6922	+	12.7753i	1.93896	+	0.519389i
$606$	−22.7819	−	24.6956i	−0.925453	−	1.00319i
$607$	−6.46551	+	24.1296i	−0.262427	+	0.979390i	0.701380	+	0.712788i	$0.252568\pi$
$607$	−6.46551	+	24.1296i	−0.262427	+	0.979390i	−0.963807	+	0.266602i	$0.914099\pi$
$608$	−0.453021	+	0.421566i	−0.0183724	+	0.0170968i
$609$	−2.12048	+	6.80468i	−0.0859264	+	0.275740i
$610$	−27.9896	+	16.1626i	−1.13327	+	0.654404i
$611$	9.40805	+	5.43174i	0.380609	+	0.219745i
$612$	−43.7931	+	8.02466i	−1.77023	+	0.324378i
$613$	2.61738	+	9.76820i	0.105715	+	0.394534i	0.998425	−	0.0560972i	$-0.0178657\pi$
$613$	2.61738	+	9.76820i	0.105715	+	0.394534i	−0.892710	+	0.450631i	$0.851199\pi$
$614$	−74.6662			−3.01328
$615$	−28.5573	+	6.43363i	−1.15154	+	0.259429i
$616$	47.8997	+	82.9647i	1.92993	+	3.34274i
$617$	−1.22934	−	4.58796i	−0.0494913	−	0.184704i	0.936755	−	0.349985i	$-0.113813\pi$
$617$	−1.22934	−	4.58796i	−0.0494913	−	0.184704i	−0.986246	+	0.165281i	$0.947147\pi$
$618$	−44.5385	+	23.3751i	−1.79160	+	0.940286i
$619$	11.4796	+	6.62774i	0.461404	+	0.266392i	0.712634	−	0.701536i	$-0.247502\pi$
$619$	11.4796	+	6.62774i	0.461404	+	0.266392i	−0.251231	+	0.967927i	$0.580835\pi$
$620$	−29.4770	−	29.4726i	−1.18383	−	1.18365i
$621$	22.2833	−	3.16168i	0.894200	−	0.126874i
$622$	−51.0956	+	13.6910i	−2.04875	+	0.548960i
$623$	4.10158	+	4.10158i	0.164326	+	0.164326i
$624$	1.76880	+	7.85398i	0.0708085	+	0.314411i
$625$	−25.0000	+	0.00746143i	−1.00000	+	0.000298457i
$626$	−63.6529	+	36.7500i	−2.54408	+	1.46883i
$627$	−35.8430	−	24.5127i	−1.43143	−	0.978944i
$628$	23.0810	+	86.1395i	0.921033	+	3.43734i
$629$	−17.1352	+	29.6790i	−0.683224	+	1.18338i
$630$	−52.2489	−	18.6174i	−2.08165	−	0.741734i
$631$	23.2091	+	40.1994i	0.923942	+	1.60031i	0.793255	+	0.608890i	$0.208385\pi$
$631$	23.2091	+	40.1994i	0.923942	+	1.60031i	0.130687	+	0.991424i	$0.458282\pi$
$632$	84.7280	+	22.7028i	3.37030	+	0.903069i
$633$	7.91310	−	12.5134i	0.314518	−	0.497361i
$634$	−1.15424	+	0.666399i	−0.0458406	+	0.0264661i
$635$	0.538713	+	0.932917i	0.0213782	+	0.0370217i
$636$	−7.60119	−	33.7515i	−0.301407	−	1.33833i
$637$	3.51234	+	3.51234i	0.139164	+	0.139164i
$638$	−12.1734	−	12.1734i	−0.481949	−	0.481949i
$639$	−0.507824	+	6.28926i	−0.0200892	+	0.248799i
$640$	21.7764	+	37.7114i	0.860790	+	1.49067i
$641$	9.78713	−	5.65060i	0.386568	−	0.223185i	−0.294104	−	0.955773i	$-0.595021\pi$
$641$	9.78713	−	5.65060i	0.386568	−	0.223185i	0.680672	+	0.732588i	$0.261688\pi$
$642$	−2.25443	+	55.9318i	−0.0889751	+	2.20745i
$643$	1.71969	−	1.71969i	0.0678181	−	0.0678181i	−0.672384	−	0.740202i	$-0.734730\pi$
$643$	1.71969	−	1.71969i	0.0678181	−	0.0678181i	0.740202	+	0.672384i	$0.234730\pi$
$644$	58.6244			2.31013
$645$	0.468836	−	11.6533i	0.0184604	−	0.458849i
$646$	34.9126	−	18.5167i	1.37362	−	0.728529i
$647$	−6.16462	+	6.16462i	−0.242356	+	0.242356i	−0.817824	−	0.575468i	$-0.804820\pi$
$647$	−6.16462	+	6.16462i	−0.242356	+	0.242356i	0.575468	+	0.817824i	$0.304820\pi$
$648$	44.2370	−	4.46799i	1.73779	−	0.175519i
$649$	27.0716	+	15.6298i	1.06265	+	0.613523i
$650$	−13.9464	+	0.00208121i	−0.547024	+	8.16317e-5i
$651$	26.4548	−	5.95789i	1.03685	−	0.233508i
$652$	45.7427	−	12.2567i	1.79142	−	0.480011i
$653$	−0.689897	+	2.57473i	−0.0269978	+	0.100757i	−0.978110	−	0.208088i	$-0.933276\pi$
$653$	−0.689897	+	2.57473i	−0.0269978	+	0.100757i	0.951112	+	0.308845i	$0.0999425\pi$
$654$	36.5961	−	8.24181i	1.43102	−	0.322280i
$655$	10.0642	+	10.0627i	0.393241	+	0.393182i
$656$	26.7503	−	15.4443i	1.04442	−	0.602999i
$657$	14.7277	−	12.5271i	0.574584	−	0.488728i
$658$	55.8449	−	55.8449i	2.17706	−	2.17706i
$659$	−9.22311			−0.359281			−0.179641	−	0.983732i	$-0.557494\pi$
$659$	−9.22311			−0.359281			−0.179641	+	0.983732i	$0.557494\pi$
$660$	65.7232	−	60.6394i	2.55827	−	2.36039i
$661$	−20.1793	+	34.9515i	−0.784883	+	1.35946i	0.144186	+	0.989551i	$0.453944\pi$
$661$	−20.1793	+	34.9515i	−0.784883	+	1.35946i	−0.929069	+	0.369907i	$0.879390\pi$
$662$	−53.0396	+	53.0396i	−2.06144	+	2.06144i
$663$	0.293302	−	7.27676i	0.0113909	−	0.282606i
$664$	4.37504	+	2.52593i	0.169784	+	0.0980251i
$665$	32.8406	+	1.17867i	1.27350	+	0.0457068i
$666$	38.7446	−	56.1293i	1.50132	−	2.17497i
$667$	−5.10638	+	1.36825i	−0.197720	+	0.0529789i
$668$	−4.32719	+	16.1493i	−0.167424	+	0.624835i
$669$	−5.37704	+	4.96037i	−0.207888	+	0.191779i
$670$	48.8178	−	48.8251i	1.88600	−	1.88628i
$671$	29.3576	+	16.9496i	1.13334	+	0.654332i
$672$	0.828380	+	0.0333893i	0.0319554	+	0.00128802i
$673$	−2.95537	−	11.0296i	−0.113921	−	0.425159i	0.885283	−	0.465053i	$-0.153965\pi$
$673$	−2.95537	−	11.0296i	−0.113921	−	0.425159i	−0.999204	+	0.0398937i	$0.987298\pi$
$674$	−14.1483	−	24.5056i	−0.544972	−	0.943920i
$675$	−3.12841	+	25.7917i	−0.120413	+	0.992724i
$676$	46.9945			1.80748
$677$	0.663731	+	2.47708i	0.0255093	+	0.0952019i	0.977507	−	0.210904i	$-0.0676406\pi$
$677$	0.663731	+	2.47708i	0.0255093	+	0.0952019i	−0.951998	+	0.306106i	$0.900974\pi$
$678$	35.5485	+	67.7334i	1.36523	+	2.60128i
$679$		−	9.07823i		−	0.348391i
$680$	10.5726	+	39.4458i	0.405441	+	1.51268i
$681$	37.6192	+	11.7230i	1.44157	+	0.449225i
$682$	−16.9527	+	63.2682i	−0.649151	+	2.42266i
$683$	7.41558	+	7.41558i	0.283749	+	0.283749i	0.834602	−	0.550853i	$-0.185697\pi$
$683$	7.41558	+	7.41558i	0.283749	+	0.283749i	−0.550853	+	0.834602i	$0.685697\pi$
$684$	−48.2055	+	20.7844i	−1.84318	+	0.794713i
$685$	−0.000424425	−	5.68825i	−1.62164e−5	−	0.217337i
$686$	−18.8518	+	10.8841i	−0.719767	+	0.415557i
$687$	0.568288	−	14.0991i	0.0216815	−	0.537914i
$688$	3.18513	+	11.8871i	0.121432	+	0.453190i
$689$	5.65913			0.215596
$690$	−9.04185	−	40.1345i	−0.344218	−	1.52790i
$691$	−15.9395	+	27.6081i	−0.606368	+	1.05026i	0.385466	+	0.922722i	$0.374041\pi$
$691$	−15.9395	+	27.6081i	−0.606368	+	1.05026i	−0.991834	+	0.127538i	$0.959293\pi$
$692$	1.07556	−	1.07556i	0.0408868	−	0.0408868i
$693$	10.4854	+	57.2223i	0.398308	+	2.17370i
$694$	−46.7755	+	27.0058i	−1.77557	+	1.02513i
$695$	3.44887	−	0.924397i	0.130823	−	0.0350644i
$696$	−10.1884	+	2.29454i	−0.386191	+	0.0869742i
$697$	−26.9898	+	7.23189i	−1.02231	+	0.273927i
$698$	−11.2499	−	11.2499i	−0.425813	−	0.425813i
$699$	10.9607	−	35.1731i	0.414571	−	1.33037i
$700$	−17.5056	+	65.3707i	−0.661648	+	2.47078i
$701$	13.9163	+	8.03461i	0.525613	+	0.303463i	0.739228	−	0.673455i	$-0.235190\pi$
$701$	13.9163	+	8.03461i	0.525613	+	0.303463i	−0.213615	+	0.976918i	$0.568524\pi$
$702$	−1.74735	+	14.3878i	−0.0659496	+	0.543034i
$703$	−11.8543	+	38.6295i	−0.447094	+	1.45694i
$704$	22.5039	−	38.9778i	0.848146	−	1.46903i
$705$	−31.2673	−	19.7694i	−1.17760	−	0.744557i
$706$	68.4508			2.57618
$707$	−6.90229	−	25.7597i	−0.259588	−	0.968794i
$708$	33.4618	−	17.5617i	1.25757	−	0.660011i
$709$		−	25.6942i		−	0.964966i	−0.875905	−	0.482483i	$-0.839735\pi$
$709$		−	25.6942i		−	0.964966i	0.875905	−	0.482483i	$-0.160265\pi$
$710$	11.5338		0.000860585i	0.432855		3.22972e-5i
$711$	43.8373	+	30.2597i	1.64403	+	1.13483i
$712$	−2.19979	+	8.20971i	−0.0824405	+	0.307672i
$713$	14.2223	+	14.2223i	0.532629	+	0.532629i
$714$	−50.5470	−	15.7515i	−1.89167	−	0.589486i
$715$	7.31466	+	12.6672i	0.273553	+	0.473726i
$716$	−26.5423	−	15.3242i	−0.991933	−	0.572693i
$717$	33.2749	+	1.34120i	1.24267	+	0.0500881i
$718$	−24.4673	+	24.4673i	−0.913113	+	0.913113i
$719$	17.2058	−	29.8012i	0.641666	−	1.11140i	−0.343394	−	0.939191i	$-0.611577\pi$
$719$	17.2058	−	29.8012i	0.641666	−	1.11140i	0.985061	−	0.172207i	$-0.0550900\pi$
$720$	−4.94320	−	26.9653i	−0.184222	−	1.00494i
$721$	−39.9244			−1.48686
$722$	35.2303	−	30.4964i	1.31114	−	1.13496i
$723$	−3.63625	+	5.75016i	−0.135233	+	0.213851i
$724$		−	90.2082i		−	3.35256i
$725$	−0.000910678	−	6.10257i	−3.38217e−5	−	0.226644i
$726$	−89.5453	−	27.9042i	−3.32334	−	1.03562i
$727$	4.24975	−	15.8603i	0.157614	−	0.588225i	−0.841253	−	0.540642i	$-0.818181\pi$
$727$	4.24975	−	15.8603i	0.157614	−	0.588225i	0.998867	−	0.0475830i	$-0.0151518\pi$
$728$	−4.90308	+	18.2985i	−0.181720	+	0.678189i
$729$	26.2151	+	6.46279i	0.970930	+	0.239363i
$730$	−24.9929	−	24.9892i	−0.925030	−	0.924892i
$731$		−	11.1324i		−	0.411746i
$732$	36.2873	−	19.0447i	1.34122	−	0.703912i
$733$	−41.1775	−	11.0335i	−1.52093	−	0.407531i	−0.600879	−	0.799340i	$-0.705183\pi$
$733$	−41.1775	−	11.0335i	−1.52093	−	0.407531i	−0.920047	+	0.391809i	$0.871850\pi$
$734$	22.0715	+	38.2289i	0.814673	+	1.41105i
$735$	−11.4699	−	12.4315i	−0.423075	−	0.458545i
$736$	0.307460	+	0.532537i	0.0113331	+	0.0196296i
$737$	−69.9479	−	18.7425i	−2.57656	−	0.690388i
$738$	54.6977	−	10.0228i	2.01345	−	0.368945i
$739$	−23.0063	−	13.2827i	−0.846302	−	0.488613i	0.0130996	−	0.999914i	$-0.495830\pi$
$739$	−23.0063	−	13.2827i	−0.846302	−	0.488613i	−0.859401	+	0.511302i	$0.829163\pi$
$740$	−72.0680	−	41.6013i	−2.64927	−	1.52929i
$741$	−1.58429	−	8.43943i	−0.0582003	−	0.310030i
$742$	10.6482	−	39.7396i	0.390907	−	1.45889i
$743$	−24.4769	−	24.4769i	−0.897971	−	0.897971i	0.0972855	−	0.995257i	$-0.468984\pi$
$743$	−24.4769	−	24.4769i	−0.897971	−	0.897971i	−0.995257	+	0.0972855i	$0.968984\pi$
$744$	26.9421	+	29.2052i	0.987744	+	1.07071i
$745$	−24.9981	+	25.0018i	−0.915858	+	0.915994i
$746$	39.0346	+	22.5366i	1.42916	+	0.825125i
$747$	1.98763	+	2.33680i	0.0727236	+	0.0854992i
$748$	60.3570	−	60.3570i	2.20687	−	2.20687i
$749$	−22.2153	+	38.4781i	−0.811731	+	1.40596i
$750$	47.4530	+	1.90204i	1.73274	+	0.0694525i
$751$	−15.9973	+	27.7081i	−0.583749	+	1.01108i	0.411281	+	0.911508i	$0.365081\pi$
$751$	−15.9973	+	27.7081i	−0.583749	+	1.01108i	−0.995030	+	0.0995740i	$0.968252\pi$
$752$	37.7044	+	10.1029i	1.37494	+	0.368414i
$753$	1.32146	−	32.7850i	0.0481565	−	1.19475i
$754$		−	3.40436i		−	0.123980i
$755$	0.343186	+	1.28040i	0.0124898	+	0.0465987i
$756$	65.2425	+	26.2597i	2.37285	+	0.955055i
$757$	41.4258	−	11.1000i	1.50565	−	0.403436i	0.590659	−	0.806921i	$-0.298868\pi$
$757$	41.4258	−	11.1000i	1.50565	−	0.403436i	0.914986	+	0.403485i	$0.132201\pi$
$758$	4.80345	−	17.9267i	0.174469	−	0.651128i
$759$	−31.7152	+	29.2576i	−1.15119	+	1.06198i
$760$	22.5645	+	42.5370i	0.818501	+	1.54298i
$761$	−28.9580	+	16.7189i	−1.04973	+	0.606060i	−0.922573	−	0.385823i	$-0.873917\pi$
$761$	−28.9580	+	16.7189i	−1.04973	+	0.606060i	−0.127154	+	0.991883i	$0.540584\pi$
$762$	−0.951023	−	1.81206i	−0.0344519	−	0.0656440i
$763$	28.7603	+	7.70630i	1.04119	+	0.278987i
$764$	24.9684	+	43.2466i	0.903325	+	1.56461i
$765$	−1.99407	+	24.7190i	−0.0720958	+	0.893718i
$766$	−39.8087	−	68.9507i	−1.43835	−	2.49129i
$767$	1.59989	+	5.97086i	0.0577686	+	0.215595i
$768$	−25.8460	−	49.2464i	−0.932637	−	1.77703i
$769$	−43.0771	−	24.8706i	−1.55340	−	0.896855i	−0.997861	−	0.0653642i	$-0.979179\pi$
$769$	−43.0771	−	24.8706i	−1.55340	−	0.896855i	−0.555538	−	0.831491i	$-0.687488\pi$
$770$	102.715	−	27.5305i	3.70158	−	0.992132i
$771$	−8.70615	−	2.71302i	−0.313544	−	0.0977071i
$772$	−50.3383	+	13.4881i	−1.81171	+	0.485447i
$773$	5.40716	−	20.1798i	0.194482	−	0.725817i	−0.797918	−	0.602766i	$-0.794065\pi$
$773$	5.40716	−	20.1798i	0.194482	−	0.725817i	0.992400	−	0.123052i	$-0.0392681\pi$
$774$	−1.78310	+	22.0832i	−0.0640921	+	0.793764i
$775$	−20.1058	+	11.6121i	−0.722222	+	0.417119i
$776$	11.5199	−	6.65103i	0.413541	−	0.238758i
$777$	47.9340	−	25.1572i	1.71962	−	0.902510i
$778$	−24.6305	−	6.59972i	−0.883046	−	0.236611i
$779$	−29.1055	+	15.4367i	−1.04281	+	0.553078i
$780$	17.6691	+	0.710862i	0.632654	+	0.0254529i
$781$	−6.04848	−	10.4763i	−0.216432	−	0.374871i
$782$	−10.1637	−	37.9316i	−0.363454	−	1.35643i
$783$	−6.29572	−	0.764593i	−0.224991	−	0.0273243i
$784$	15.4569	+	8.92404i	0.552032	+	0.318716i
$785$	49.6730	−	0.00370632i	1.77291	−	0.000132284i
$786$	−18.3316	−	19.8714i	−0.653865	−	0.708790i
$787$	7.77314	−	29.0097i	0.277082	−	1.03409i	−0.677351	−	0.735660i	$-0.736872\pi$
$787$	7.77314	−	29.0097i	0.277082	−	1.03409i	0.954433	−	0.298425i	$-0.0964614\pi$
$788$	−35.2524	+	9.44585i	−1.25581	+	0.336494i
$789$	16.4440	+	17.8253i	0.585422	+	0.634597i
$790$	48.6779	−	84.3271i	1.73188	−	3.00022i
$791$			60.7163i			2.15882i
$792$	−64.9309	+	55.2287i	−2.30722	+	1.96247i
$793$	1.73498	+	6.47505i	0.0616111	+	0.229936i
$794$	58.2637			2.06770
$795$	−19.2552	−	0.774674i	−0.682911	−	0.0274749i
$796$	−76.4114			−2.70833
$797$	31.5382	+	8.45064i	1.11714	+	0.299337i	0.769726	−	0.638374i	$-0.220393\pi$
$797$	31.5382	+	8.45064i	1.11714	+	0.299337i	0.347415	+	0.937711i	$0.387059\pi$
$798$	−62.2444	−	4.75439i	−2.20343	−	0.168304i
$799$	−30.5799	−	17.6553i	−1.08184	−	0.624601i
$800$	−0.685628	+	0.183823i	−0.0242406	+	0.00649913i
$801$	−2.93202	+	4.24761i	−0.103598	+	0.150082i
$802$	5.57459	−	20.8046i	0.196846	−	0.734637i
$803$	−9.59402	+	35.8054i	−0.338566	+	1.26354i
$804$	−64.3460	+	59.3598i	−2.26931	+	2.09346i
$805$	8.44921	−	31.5423i	0.297795	−	1.11172i
$806$	−11.2171	+	6.47622i	−0.395107	+	0.228115i
$807$	−16.9841	−	32.3612i	−0.597869	−	1.13917i
$808$	27.6312	−	27.6312i	0.972063	−	0.972063i
$809$	51.9282			1.82570			0.912850	−	0.408296i	$-0.133877\pi$
$809$	51.9282			1.82570			0.912850	+	0.408296i	$0.133877\pi$
$810$	7.91491	−	48.7154i	0.278102	−	1.71169i
$811$	−2.60199	−	4.50677i	−0.0913681	−	0.158254i	0.816719	−	0.577036i	$-0.195791\pi$
$811$	−2.60199	−	4.50677i	−0.0913681	−	0.158254i	−0.908087	+	0.418782i	$0.862457\pi$
$812$	−15.9565	−	4.27554i	−0.559964	−	0.150042i
$813$	9.96491	+	18.9869i	0.349485	+	0.665900i
$814$			130.758i			4.58307i
$815$	−0.00196817	−	26.3779i	−6.89420e−5	−	0.923978i
$816$	−5.74929	−	25.5286i	−0.201266	−	0.893679i
$817$	−2.93936	−	12.7926i	−0.102835	−	0.447558i
$818$	−28.3803	−	28.3803i	−0.992293	−	0.992293i
$819$	−6.53514	+	9.46746i	−0.228356	+	0.330820i
$820$	−17.5650	−	65.5338i	−0.613395	−	2.28854i
$821$		−	24.1463i		−	0.842712i	−0.906895	−	0.421356i	$-0.861554\pi$
$821$		−	24.1463i		−	0.842712i	0.906895	−	0.421356i	$-0.138446\pi$
$822$	−0.435187	+	10.7969i	−0.0151789	+	0.376585i
$823$	−0.955026	−	3.56421i	−0.0332901	−	0.124240i	0.947281	−	0.320403i	$-0.103818\pi$
$823$	−0.955026	−	3.56421i	−0.0332901	−	0.124240i	−0.980571	+	0.196163i	$0.937152\pi$
$824$	−29.2500	−	50.6625i	−1.01897	−	1.76491i
$825$	−23.1541	−	44.1014i	−0.806123	−	1.53541i
$826$	44.9389			1.56363
$827$	13.3341	+	3.57285i	0.463671	+	0.124240i	0.483089	−	0.875571i	$-0.339515\pi$
$827$	13.3341	+	3.57285i	0.463671	+	0.124240i	−0.0194183	+	0.999811i	$0.506181\pi$
$828$	9.40199	+	51.3097i	0.326742	+	1.78313i
$829$			48.7021i			1.69149i	0.533584	+	0.845747i	$0.320845\pi$
$829$			48.7021i			1.69149i	−0.533584	+	0.845747i	$0.679155\pi$
$830$	3.96496	−	3.96555i	0.137626	−	0.137646i
$831$	−0.0347531	+	0.111523i	−0.00120557	+	0.00386870i
$832$	8.59688	−	2.30353i	0.298043	−	0.0798604i
$833$	−11.4165	−	11.4165i	−0.395559	−	0.395559i
$834$	−6.61714	+	1.49025i	−0.229133	+	0.0516031i
$835$	8.06531	+	4.65571i	0.279112	+	0.161117i
$836$	53.4220	−	85.2949i	1.84764	−	2.94999i
$837$	9.45724	+	22.1985i	0.326890	+	0.767291i
$838$	3.55700	+	13.2749i	0.122874	+	0.458574i
$839$	15.0923	+	26.1406i	0.521044	+	0.902475i	0.999701	+	0.0244725i	$0.00779061\pi$
$839$	15.0923	+	26.1406i	0.521044	+	0.902475i	−0.478656	+	0.878002i	$0.658876\pi$
$840$	19.1876	−	61.5896i	0.662035	−	2.12504i
$841$	−27.5103			−0.948633
$842$	−1.53220	−	5.71825i	−0.0528031	−	0.197064i
$843$	−0.422701	−	0.267305i	−0.0145586	−	0.00920646i
$844$	29.7176	+	17.1575i	1.02292	+	0.590585i
$845$	6.77305	−	25.2849i	0.233000	−	0.869828i
$846$	57.8332	+	39.9208i	1.98835	+	1.37250i
$847$	−52.6410	−	52.6410i	−1.80877	−	1.80877i
$848$	19.6414	−	5.26290i	0.674489	−	0.180729i
$849$	−8.95889	−	39.7801i	−0.307468	−	1.36525i
$850$	45.3315	−	0.00676476i	1.55486	−	0.000232029i
$851$	34.7730	+	20.0762i	1.19200	+	0.688204i
$852$	−14.6124	−	0.588977i	−0.500612	−	0.0201780i
$853$	28.4758	+	7.63007i	0.974993	+	0.261248i	0.710934	−	0.703258i	$-0.248272\pi$
$853$	28.4758	+	7.63007i	0.974993	+	0.261248i	0.264058	+	0.964507i	$0.414939\pi$
$854$	48.7336			1.66763
$855$	4.23527	+	28.9320i	0.144843	+	0.989455i
$856$	−65.1030			−2.22517
$857$	16.2475	+	4.35350i	0.555004	+	0.148713i	0.525410	−	0.850849i	$-0.323912\pi$
$857$	16.2475	+	4.35350i	0.555004	+	0.148713i	0.0295938	+	0.999562i	$0.490579\pi$
$858$	−12.9130	−	24.6042i	−0.440843	−	0.839974i
$859$	44.6442	+	25.7753i	1.52324	+	0.879443i	0.999622	+	0.0274900i	$0.00875144\pi$
$859$	44.6442	+	25.7753i	1.52324	+	0.879443i	0.523618	+	0.851953i	$0.324582\pi$
$860$	27.0310	−	0.00201690i	0.921751	−	6.87758e-5i
$861$	42.1393	+	13.1315i	1.43610	+	0.447521i
$862$	−72.2029	+	19.3467i	−2.45924	+	0.658952i
$863$	30.7592	+	30.7592i	1.04706	+	1.04706i	0.998837	+	0.0482202i	$0.0153549\pi$
$863$	30.7592	+	30.7592i	1.04706	+	1.04706i	0.0482202	+	0.998837i	$0.484645\pi$
$864$	0.103630	+	0.730375i	0.00352555	+	0.0248479i
$865$	−0.423681	−	0.733711i	−0.0144056	−	0.0249469i
$866$	−3.18757	−	1.84034i	−0.108318	−	0.0625374i
$867$	0.232513	−	5.76859i	0.00789655	−	0.195912i
$868$	16.2670	+	60.7091i	0.552137	+	2.06060i
$869$	−102.123			−3.46428
$870$	−0.466021	+	11.5833i	−0.0157996	+	0.392712i
$871$	−7.15996	−	12.4014i	−0.242606	−	0.420206i
$872$	11.2918	+	42.1416i	0.382389	+	1.42710i
$873$	7.94551	−	1.45594i	0.268915	−	0.0492760i
$874$	−21.6948	−	40.9049i	−0.733839	−	1.38363i
$875$	32.6491	+	18.8402i	1.10374	+	0.636915i
$876$	30.3855	+	32.9379i	1.02663	+	1.11287i
$877$	−14.5869	−	14.5869i	−0.492564	−	0.492564i	0.416549	−	0.909113i	$-0.363239\pi$
$877$	−14.5869	−	14.5869i	−0.492564	−	0.492564i	−0.909113	+	0.416549i	$0.863239\pi$
$878$	3.22899	−	0.865204i	0.108973	−	0.0291992i
$879$	−10.9818	−	11.9043i	−0.370408	−	0.401521i
$880$	37.1676	+	37.1621i	1.25292	+	1.25273i
$881$		−	33.0563i		−	1.11370i	−0.830614	−	0.556848i	$-0.812011\pi$
$881$		−	33.0563i		−	1.11370i	0.830614	−	0.556848i	$-0.187989\pi$
$882$	20.8182	+	24.4755i	0.700986	+	0.824131i
$883$	6.81311	+	1.82557i	0.229279	+	0.0614352i	0.371629	−	0.928381i	$-0.378799\pi$
$883$	6.81311	+	1.82557i	0.229279	+	0.0614352i	−0.142350	+	0.989816i	$0.545466\pi$
$884$	16.8792			0.567710
$885$	−4.62627	−	20.5348i	−0.155510	−	0.690271i
$886$	−3.15545	−	5.46540i	−0.106010	−	0.183614i
$887$	0.984142	+	3.67287i	0.0330443	+	0.123323i	0.980478	−	0.196630i	$-0.0629997\pi$
$887$	0.984142	+	3.67287i	0.0330443	+	0.123323i	−0.947434	+	0.319953i	$0.896333\pi$
$888$	67.0417	+	42.3954i	2.24977	+	1.42270i
$889$		−	1.62433i		−	0.0544784i
$890$	8.17087	+	4.71664i	0.273888	+	0.158102i
$891$	−48.4009	+	18.3543i	−1.62149	+	0.614891i
$892$	−11.9894	−	11.9894i	−0.401434	−	0.401434i
$893$	−39.8022	−	12.2142i	−1.33193	−	0.408732i
$894$	49.3651	−	45.5398i	1.65102	−	1.52308i
$895$	−12.0704	+	12.0722i	−0.403470	+	0.403530i
$896$		−	65.6606i		−	2.19357i
$897$	−8.52572	−	0.343644i	−0.284666	−	0.0114739i
$898$	54.2139	+	14.5266i	1.80914	+	0.484758i
$899$	−2.83381	−	4.90831i	−0.0945129	−	0.163701i
$900$	−60.0217	−	4.83741i	−2.00072	−	0.161247i
$901$	−18.3944			−0.612808
$902$	−75.3860	+	75.3860i	−2.51008	+	2.51008i
$903$	−9.39875	+	14.8627i	−0.312771	+	0.494599i
$904$	−77.0467	+	44.4829i	−2.56253	+	1.47948i
$905$	−48.5356	−	13.0012i	−1.61338	−	0.432175i
$906$	−0.553260	−	2.45664i	−0.0183808	−	0.0816164i
$907$	−9.80060	+	36.5764i	−0.325424	+	1.21450i	0.588462	+	0.808525i	$0.299734\pi$
$907$	−9.80060	+	36.5764i	−0.325424	+	1.21450i	−0.913885	+	0.405973i	$0.866933\pi$
$908$	−23.6370	+	88.2146i	−0.784422	+	2.92750i
$909$	21.4386	−	10.1723i	0.711074	−	0.337395i
$910$	18.2120	+	10.5129i	0.603721	+	0.348498i
$911$	−21.3216	−	12.3101i	−0.706417	−	0.407850i	0.103316	−	0.994649i	$-0.467055\pi$
$911$	−21.3216	−	12.3101i	−0.706417	−	0.407850i	−0.809733	+	0.586798i	$0.800388\pi$
$912$	−13.3472	−	27.8178i	−0.441970	−	0.921139i
$913$	−5.68113	−	1.52225i	−0.188018	−	0.0503792i
$914$	58.2933			1.92817
$915$	−5.01692	−	22.2688i	−0.165854	−	0.736185i
$916$	32.7044			1.08058
$917$	−5.55396	−	20.7277i	−0.183408	−	0.684487i
$918$	5.67960	−	46.7663i	0.187455	−	1.54352i
$919$		−	8.69694i		−	0.286885i	−0.989659	−	0.143443i	$-0.954183\pi$
$919$		−	8.69694i		−	0.286885i	0.989659	−	0.143443i	$-0.0458173\pi$
$920$	46.2161	−	12.3873i	1.52370	−	0.408396i
$921$	15.6888	−	50.3458i	0.516964	−	1.65895i
$922$	8.69192	−	2.32899i	0.286253	−	0.0767013i
$923$	0.619131	−	2.31063i	0.0203789	−	0.0760552i
$924$	−131.539	+	29.6240i	−4.32733	+	0.974558i
$925$	−32.7699	+	32.7797i	−1.07747	+	1.07779i
$926$	−35.3833	−	20.4285i	−1.16277	−	0.671323i
$927$	−6.40294	−	34.9429i	−0.210300	−	1.14768i
$928$	−0.0448468	−	0.167370i	−0.00147217	−	0.00549420i
$929$	16.0634	+	27.8226i	0.527023	+	0.912830i	0.999504	+	0.0314893i	$0.0100250\pi$
$929$	16.0634	+	27.8226i	0.527023	+	0.912830i	−0.472482	+	0.881341i	$0.656642\pi$
$930$	39.0528	−	20.4998i	1.28059	−	0.672216i
$931$	−16.1335	−	10.1048i	−0.528755	−	0.331170i
$932$	82.4786	+	22.1001i	2.70168	+	0.723912i
$933$	1.50462	−	37.3294i	0.0492592	−	1.22211i
$934$	55.6008	−	32.1011i	1.81931	−	1.05038i
$935$	−23.7756	−	41.1734i	−0.777544	−	1.34651i
$936$	−16.8017	−	1.35665i	−0.549181	−	0.0443434i
$937$	2.42232	−	9.04022i	0.0791337	−	0.295331i	−0.915005	−	0.403442i	$-0.867814\pi$
$937$	2.42232	−	9.04022i	0.0791337	−	0.295331i	0.994139	+	0.108111i	$0.0344803\pi$
$938$	−100.557	+	26.9443i	−3.28332	+	0.879762i
$939$	−11.4050	−	50.6417i	−0.372189	−	1.65263i
$940$	42.8642	−	74.2557i	1.39808	−	2.42195i
$941$	−31.6712	−	18.2854i	−1.03245	−	0.596085i	−0.114765	−	0.993393i	$-0.536611\pi$
$941$	−31.6712	−	18.2854i	−1.03245	−	0.596085i	−0.917686	+	0.397307i	$0.869945\pi$
$942$	−94.2846	−	3.80030i	−3.07196	−	0.123821i
$943$	8.47315	+	31.6222i	0.275924	+	1.02976i
$944$	11.1056	+	19.2355i	0.361457	+	0.626062i
$945$	23.5318	−	31.3184i	0.765489	−	1.01879i
$946$	−21.2377	−	36.7848i	−0.690498	−	1.19598i
$947$	21.0351	+	5.63633i	0.683548	+	0.183156i	0.583850	−	0.811861i	$-0.301546\pi$
$947$	21.0351	+	5.63633i	0.683548	+	0.183156i	0.0996983	+	0.995018i	$0.468212\pi$
$948$	−65.9850	+	104.345i	−2.14309	+	3.38897i
$949$	−6.34812	+	3.66509i	−0.206069	+	0.118974i
$950$	52.0903	−	11.9770i	1.69003	−	0.388584i
$951$	−0.206810	−	0.918300i	−0.00670629	−	0.0297779i
$952$	15.9370	−	59.4776i	0.516520	−	1.92768i
$953$	8.75262	−	2.34526i	0.283525	−	0.0759703i	−0.114254	−	0.993452i	$-0.536448\pi$
$953$	8.75262	−	2.34526i	0.283525	−	0.0759703i	0.397779	+	0.917481i	$0.369781\pi$
$954$	36.4889	+	2.94628i	1.18137	+	0.0953893i
$955$	26.8669	−	7.20112i	0.869394	−	0.233023i
$956$			77.1847i			2.49633i
$957$	10.7661	−	5.65038i	0.348019	−	0.182651i
$958$	−2.74494	−	0.735504i	−0.0886849	−	0.0237630i
$959$	−4.28837	+	7.42768i	−0.138479	+	0.239852i
$960$	−29.5662	+	6.66093i	−0.954245	+	0.214980i
$961$	4.71832	−	8.17237i	0.152204	−	0.263625i
$962$	−18.2837	+	18.2837i	−0.589489	+	0.589489i
$963$	−37.2399	−	13.2725i	−1.20004	−	0.427699i
$964$	−13.6559	−	7.88424i	−0.439827	−	0.253934i
$965$	0.00216590	+	29.0280i	6.97228e−5	+	0.934443i
$966$	−18.4551	+	59.2227i	−0.593782	+	1.90546i
$967$	−35.4335	−	35.4335i	−1.13946	−	1.13946i	−0.988546	−	0.150917i	$-0.951777\pi$
$967$	−35.4335	−	35.4335i	−1.13946	−	1.13946i	−0.150917	−	0.988546i	$-0.548223\pi$
$968$	28.2328	−	105.366i	0.907435	−	3.38659i
$969$	5.14957	+	27.4315i	0.165428	+	0.881228i
$970$	−3.82271	−	14.2623i	−0.122740	−	0.457934i
$971$	−28.3842	−	16.3876i	−0.910891	−	0.525903i	−0.0301735	−	0.999545i	$-0.509606\pi$
$971$	−28.3842	−	16.3876i	−0.910891	−	0.525903i	−0.880718	+	0.473641i	$0.842939\pi$
$972$	−12.5198	+	61.3134i	−0.401573	+	1.96663i
$973$	−5.20031	−	1.39342i	−0.166714	−	0.0446710i
$974$	−19.3290	−	33.4788i	−0.619340	−	1.07273i
$975$	2.92902	−	9.40422i	0.0938036	−	0.301176i
$976$	12.0434	+	20.8598i	0.385499	+	0.667705i
$977$	50.5113	+	13.5345i	1.61600	+	0.433006i	0.949823	−	0.312788i	$-0.101263\pi$
$977$	50.5113	+	13.5345i	1.61600	+	0.433006i	0.666177	+	0.745794i	$0.267929\pi$
$978$	−2.01808	+	50.0680i	−0.0645310	+	1.60100i
$979$		−	9.89518i		−	0.316251i
$980$	27.7189	−	27.7230i	0.885448	−	0.885580i
$981$	−2.13228	+	26.4077i	−0.0680784	+	0.843133i
$982$	−13.3272	+	49.7377i	−0.425287	+	1.58719i
$983$	−7.49141	+	27.9583i	−0.238939	+	0.891732i	0.737395	+	0.675462i	$0.236056\pi$
$983$	−7.49141	+	27.9583i	−0.238939	+	0.891732i	−0.976334	+	0.216270i	$0.930611\pi$
$984$	14.2094	+	63.0938i	0.452978	+	2.01136i
$985$	0.00151680	+	20.3286i	4.83294e−5	+	0.647722i
$986$			11.0655i			0.352399i
$987$	25.9209	+	49.3891i	0.825071	+	1.57207i
$988$	19.3965	−	4.45674i	0.617086	−	0.141788i
$989$	−13.0431			−0.414747
$990$	40.5685	+	85.4834i	1.28935	+	2.71684i
$991$	19.5900	−	33.9309i	0.622297	−	1.07785i	−0.366760	−	0.930316i	$-0.619533\pi$
$991$	19.5900	−	33.9309i	0.622297	−	1.07785i	0.989057	−	0.147534i	$-0.0471337\pi$
$992$	−0.466161	+	0.466161i	−0.0148006	+	0.0148006i
$993$	−24.6188	−	46.9081i	−0.781253	−	1.48858i
$994$	−15.0607	−	8.69532i	−0.477698	−	0.275799i
$995$	−11.0127	+	41.1124i	−0.349127	+	1.30335i
$996$	−5.22615	+	4.82117i	−0.165597	+	0.152765i
$997$	15.3253	+	15.3253i	0.485357	+	0.485357i	0.906837	−	0.421481i	$-0.138489\pi$
$997$	15.3253	+	15.3253i	0.485357	+	0.485357i	−0.421481	+	0.906837i	$0.638489\pi$
$998$	8.63109	−	32.2117i	0.273212	−	1.01964i
$999$	29.7058	+	37.9185i	0.939849	+	1.19969i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	855.2.ci.a.182.10	yes	464
5.3	odd	4	inner	855.2.ci.a.353.10	yes	464
9.5	odd	6		855.2.bx.a.752.10	yes	464
19.7	even	3		855.2.bx.a.767.107	yes	464
45.23	even	12		855.2.bx.a.68.107	✓	464
95.83	odd	12		855.2.bx.a.83.10	yes	464
171.140	odd	6	inner	855.2.ci.a.482.10	yes	464
855.653	even	12	inner	855.2.ci.a.653.10	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
855.2.bx.a.68.107	✓	464	45.23	even	12
855.2.bx.a.83.10	yes	464	95.83	odd	12
855.2.bx.a.752.10	yes	464	9.5	odd	6
855.2.bx.a.767.107	yes	464	19.7	even	3
855.2.ci.a.182.10	yes	464	1.1	even	1	trivial
855.2.ci.a.353.10	yes	464	5.3	odd	4	inner
855.2.ci.a.482.10	yes	464	171.140	odd	6	inner
855.2.ci.a.653.10	yes	464	855.653	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 855 = 3^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	855.ci (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.36887 - 0.634736i) q^{2} +(0.925734 - 1.46390i) q^{3} +(3.47659 + 2.00721i) q^{4} +(1.58102 - 1.58126i) q^{5} +(-3.12213 + 2.88020i) q^{6} +(-3.25666 + 0.872620i) q^{7} +(-3.49327 - 3.49327i) q^{8} +(-1.28603 - 2.71037i) q^{9} +O(q^{10})\)	\(q+(-2.36887 - 0.634736i) q^{2} +(0.925734 - 1.46390i) q^{3} +(3.47659 + 2.00721i) q^{4} +(1.58102 - 1.58126i) q^{5} +(-3.12213 + 2.88020i) q^{6} +(-3.25666 + 0.872620i) q^{7} +(-3.49327 - 3.49327i) q^{8} +(-1.28603 - 2.71037i) q^{9} +(-4.74891 + 2.74226i) q^{10} +(4.98101 + 2.87579i) q^{11} +(6.15676 - 3.23125i) q^{12} +(0.294369 + 1.09860i) q^{13} +8.26849 q^{14} +(-0.851205 - 3.77829i) q^{15} +(2.04336 + 3.53921i) q^{16} +(-0.956819 - 3.57090i) q^{17} +(1.32607 + 7.23680i) q^{18} +(-2.04236 - 3.85081i) q^{19} +(8.67048 - 2.32394i) q^{20} +(-1.73737 + 5.57526i) q^{21} +(-9.97398 - 9.97398i) q^{22} +(-4.18379 + 1.12104i) q^{23} +(-8.34765 + 1.87998i) q^{24} +(-0.000746143 - 5.00000i) q^{25} -2.78929i q^{26} +(-5.15825 - 0.626452i) q^{27} +(-13.0736 - 3.50307i) q^{28} +1.22051 q^{29} +(-0.381823 + 9.49055i) q^{30} +(-2.32182 - 4.02151i) q^{31} +(-0.0367442 - 0.137131i) q^{32} +(8.82096 - 4.62951i) q^{33} +9.06630i q^{34} +(-3.76902 + 6.52925i) q^{35} +(0.969274 - 12.0042i) q^{36} +(-6.55496 - 6.55496i) q^{37} +(2.39384 + 10.4184i) q^{38} +(1.88076 + 0.586084i) q^{39} +(-11.0467 + 0.000824241i) q^{40} -7.55827i q^{41} +(7.65442 - 12.1043i) q^{42} +(2.90870 + 0.779383i) q^{43} +(11.5446 + 19.9959i) q^{44} +(-6.31904 - 2.25160i) q^{45} +10.6224 q^{46} +(6.75395 - 6.75395i) q^{47} +(7.07268 + 0.285076i) q^{48} +(3.78222 - 2.18366i) q^{49} +(-3.17191 + 11.8448i) q^{50} +(-6.11321 - 1.90501i) q^{51} +(-1.18172 + 4.41025i) q^{52} +(1.28780 - 4.80615i) q^{53} +(11.8216 + 4.75811i) q^{54} +(12.4224 - 3.32957i) q^{55} +(14.4247 + 8.32810i) q^{56} +(-7.52791 - 0.575002i) q^{57} +(-2.89123 - 0.774704i) q^{58} +5.43496 q^{59} +(4.62453 - 14.8441i) q^{60} +5.89390 q^{61} +(2.94748 + 11.0002i) q^{62} +(6.55331 + 7.70455i) q^{63} -7.82529i q^{64} +(2.20258 + 1.27144i) q^{65} +(-23.8342 + 5.36770i) q^{66} +(-12.1615 + 3.25867i) q^{67} +(3.84107 - 14.3351i) q^{68} +(-2.23198 + 7.16246i) q^{69} +(13.0727 - 13.0746i) q^{70} +(-1.82146 - 1.05162i) q^{71} +(-4.97560 + 13.9605i) q^{72} +(1.66807 + 6.22532i) q^{73} +(11.3672 + 19.6885i) q^{74} +(-7.32021 - 4.62758i) q^{75} +(0.628930 - 17.4871i) q^{76} +(-18.7309 - 5.01894i) q^{77} +(-4.08325 - 2.58214i) q^{78} +(-15.3768 + 8.87781i) q^{79} +(8.82700 + 2.36448i) q^{80} +(-5.69223 + 6.97126i) q^{81} +(-4.79750 + 17.9045i) q^{82} +(-0.987752 + 0.264667i) q^{83} +(-17.2308 + 15.8956i) q^{84} +(-7.15925 - 4.13268i) q^{85} +(-6.39562 - 3.69251i) q^{86} +(1.12987 - 1.78672i) q^{87} +(-7.35410 - 27.4459i) q^{88} +(-0.860215 - 1.48994i) q^{89} +(13.5398 + 9.34467i) q^{90} +(-1.91732 - 3.32090i) q^{91} +(-16.7955 - 4.50034i) q^{92} +(-8.03649 - 0.323924i) q^{93} +(-20.2862 + 11.7122i) q^{94} +(-9.31814 - 2.85871i) q^{95} +(-0.234762 - 0.0731569i) q^{96} +(-0.696897 + 2.60085i) q^{97} +(-10.3456 + 2.77210i) q^{98} +(1.38871 - 17.1987i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Introduction

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