LMFDB - Embedded newform 392.2.x.a.253.45

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [392,2,Mod(29,392)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(392, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 7, 6]))

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

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

chi := DirichletCharacter("392.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 392 = 2^{3} \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	392.x (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.13013575923$
Analytic rank:	$0$
Dimension:	$324$
Relative dimension:	$54$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			253.45
Character	$\chi$	$=$	392.253
Dual form			392.2.x.a.141.45

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.15228 - 0.819911i) q^{2} +(-0.0899590 - 0.186802i) q^{3} +(0.655493 - 1.88953i) q^{4} +(1.28421 + 2.66670i) q^{5} +(-0.256819 - 0.141490i) q^{6} +(-2.08535 + 1.62828i) q^{7} +(-0.793935 - 2.71471i) q^{8} +(1.84367 - 2.31189i) q^{9} +O(q^{10})$	\(q+(1.15228 - 0.819911i) q^{2} +(-0.0899590 - 0.186802i) q^{3} +(0.655493 - 1.88953i) q^{4} +(1.28421 + 2.66670i) q^{5} +(-0.256819 - 0.141490i) q^{6} +(-2.08535 + 1.62828i) q^{7} +(-0.793935 - 2.71471i) q^{8} +(1.84367 - 2.31189i) q^{9} +(3.66622 + 2.01984i) q^{10} +(4.48420 - 3.57603i) q^{11} +(-0.411936 + 0.0475330i) q^{12} +(1.13887 - 0.908221i) q^{13} +(-1.06786 + 3.58604i) q^{14} +(0.382617 - 0.479787i) q^{15} +(-3.14066 - 2.47715i) q^{16} +(1.58067 + 6.92539i) q^{17} +(0.228880 - 4.17558i) q^{18} -3.79109i q^{19} +(5.88060 - 0.678559i) q^{20} +(0.491763 + 0.243069i) q^{21} +(2.23502 - 7.79722i) q^{22} +(-0.879372 + 3.85278i) q^{23} +(-0.435692 + 0.392522i) q^{24} +(-2.34462 + 2.94006i) q^{25} +(0.567639 - 1.98030i) q^{26} +(-1.20413 - 0.274834i) q^{27} +(1.70976 + 5.00767i) q^{28} +(1.93877 - 0.442512i) q^{29} +(0.0474995 - 0.866560i) q^{30} -5.81541 q^{31} +(-5.64995 - 0.279311i) q^{32} +(-1.07140 - 0.515961i) q^{33} +(7.49958 + 6.68397i) q^{34} +(-7.02018 - 3.46993i) q^{35} +(-3.15987 - 4.99909i) q^{36} +(-7.94138 + 1.81257i) q^{37} +(-3.10835 - 4.36839i) q^{38} +(-0.272109 - 0.131041i) q^{39} +(6.21973 - 5.60345i) q^{40} +(-8.95618 + 4.31307i) q^{41} +(0.765942 - 0.123119i) q^{42} +(-4.28941 + 8.90705i) q^{43} +(-3.81765 - 10.8171i) q^{44} +(8.53276 + 1.94755i) q^{45} +(2.14565 + 5.16048i) q^{46} +(-5.83993 - 7.32304i) q^{47} +(-0.180206 + 0.809523i) q^{48} +(1.69738 - 6.79109i) q^{49} +(-0.291069 + 5.31014i) q^{50} +(1.15148 - 0.918274i) q^{51} +(-0.969588 - 2.74727i) q^{52} +(7.34468 + 1.67637i) q^{53} +(-1.61283 + 0.670591i) q^{54} +(15.2948 + 7.36561i) q^{55} +(6.07596 + 4.36838i) q^{56} +(-0.708183 + 0.341043i) q^{57} +(1.87119 - 2.09952i) q^{58} +(1.35896 - 2.82191i) q^{59} +(-0.655769 - 1.03746i) q^{60} +(3.22852 - 0.736888i) q^{61} +(-6.70097 + 4.76811i) q^{62} +(-0.0802855 + 7.82311i) q^{63} +(-6.73933 + 4.31061i) q^{64} +(3.88450 + 1.87068i) q^{65} +(-1.65760 + 0.283924i) q^{66} -8.46231i q^{67} +(14.1219 + 1.55281i) q^{68} +(0.798814 - 0.182324i) q^{69} +(-10.9342 + 1.75759i) q^{70} +(-0.949657 + 4.16072i) q^{71} +(-7.73986 - 3.16954i) q^{72} +(-4.98837 + 6.25522i) q^{73} +(-7.66454 + 8.59981i) q^{74} +(0.760127 + 0.173494i) q^{75} +(-7.16338 - 2.48503i) q^{76} +(-3.52833 + 14.7588i) q^{77} +(-0.420987 + 0.0721095i) q^{78} +3.23144 q^{79} +(2.57254 - 11.5564i) q^{80} +(-1.91701 - 8.39896i) q^{81} +(-6.78369 + 12.3131i) q^{82} +(1.65753 + 1.32183i) q^{83} +(0.781633 - 0.769871i) q^{84} +(-16.4380 + 13.1089i) q^{85} +(2.36039 + 13.7803i) q^{86} +(-0.257072 - 0.322358i) q^{87} +(-13.2681 - 9.33418i) q^{88} +(1.09229 - 1.36969i) q^{89} +(11.4289 - 4.75198i) q^{90} +(-0.896107 + 3.74837i) q^{91} +(6.70352 + 4.18707i) q^{92} +(0.523149 + 1.08633i) q^{93} +(-12.7335 - 3.64996i) q^{94} +(10.1097 - 4.86857i) q^{95} +(0.456089 + 1.08055i) q^{96} +9.06066 q^{97} +(-3.61223 - 9.21693i) q^{98} -16.9600i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 324 q - 5 q^{2} - 5 q^{4} - 9 q^{6} - 12 q^{7} + q^{8} + 40 q^{9}+O(q^{10}) $ 324 * q - 5 * q^2 - 5 * q^4 - 9 * q^6 - 12 * q^7 + q^8 + 40 * q^9	$ 324 q - 5 q^{2} - 5 q^{4} - 9 q^{6} - 12 q^{7} + q^{8} + 40 q^{9} - 3 q^{10} + 14 q^{12} + 27 q^{14} - 22 q^{15} - 13 q^{16} - 10 q^{17} - 4 q^{18} - 11 q^{20} + 3 q^{22} - 10 q^{23} + 29 q^{24} + 36 q^{25} - 27 q^{26} - 44 q^{28} - 40 q^{30} - 96 q^{31} - 5 q^{32} - 22 q^{33} - 33 q^{34} - 23 q^{36} - 11 q^{38} - 22 q^{39} - 35 q^{40} - 10 q^{41} + 3 q^{42} - 11 q^{44} - 11 q^{46} - 14 q^{47} - 4 q^{48} - 20 q^{49} + 96 q^{50} - 3 q^{52} + 58 q^{54} - 46 q^{55} - 84 q^{56} + 36 q^{57} + 21 q^{58} - 103 q^{60} + 11 q^{62} - 24 q^{63} + 13 q^{64} - 30 q^{65} + 25 q^{66} - 40 q^{68} + 51 q^{70} - 90 q^{71} + 58 q^{72} + 6 q^{73} - 15 q^{74} - 98 q^{76} + 81 q^{78} - 24 q^{79} - 92 q^{80} - 20 q^{81} - 80 q^{82} - 70 q^{84} + 5 q^{86} - 46 q^{87} - 107 q^{88} + 6 q^{89} + 162 q^{90} + 60 q^{92} - 28 q^{94} + 64 q^{95} - 194 q^{96} - 24 q^{97} + 71 q^{98}+O(q^{100}) $ 324 * q - 5 * q^2 - 5 * q^4 - 9 * q^6 - 12 * q^7 + q^8 + 40 * q^9 - 3 * q^10 + 14 * q^12 + 27 * q^14 - 22 * q^15 - 13 * q^16 - 10 * q^17 - 4 * q^18 - 11 * q^20 + 3 * q^22 - 10 * q^23 + 29 * q^24 + 36 * q^25 - 27 * q^26 - 44 * q^28 - 40 * q^30 - 96 * q^31 - 5 * q^32 - 22 * q^33 - 33 * q^34 - 23 * q^36 - 11 * q^38 - 22 * q^39 - 35 * q^40 - 10 * q^41 + 3 * q^42 - 11 * q^44 - 11 * q^46 - 14 * q^47 - 4 * q^48 - 20 * q^49 + 96 * q^50 - 3 * q^52 + 58 * q^54 - 46 * q^55 - 84 * q^56 + 36 * q^57 + 21 * q^58 - 103 * q^60 + 11 * q^62 - 24 * q^63 + 13 * q^64 - 30 * q^65 + 25 * q^66 - 40 * q^68 + 51 * q^70 - 90 * q^71 + 58 * q^72 + 6 * q^73 - 15 * q^74 - 98 * q^76 + 81 * q^78 - 24 * q^79 - 92 * q^80 - 20 * q^81 - 80 * q^82 - 70 * q^84 + 5 * q^86 - 46 * q^87 - 107 * q^88 + 6 * q^89 + 162 * q^90 + 60 * q^92 - 28 * q^94 + 64 * q^95 - 194 * q^96 - 24 * q^97 + 71 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/392\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$297$
$\chi(n)$	$-1$	$1$	$e\left(\frac{6}{7}\right)$

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 $

$2$	1.15228	−	0.819911i	0.814784	−	0.579764i
$2$	1.15228	−	0.819911i	0.814784	−	0.579764i
$3$	−0.0899590	−	0.186802i	−0.0519379	−	0.107850i	0.873385	−	0.487031i	$-0.161920\pi$
$3$	−0.0899590	−	0.186802i	−0.0519379	−	0.107850i	−0.925323	+	0.379181i	$0.876206\pi$
$4$	0.655493	−	1.88953i	0.327747	−	0.944766i
$5$	1.28421	+	2.66670i	0.574318	+	1.19258i	0.962571	+	0.271030i	$0.0873643\pi$
$5$	1.28421	+	2.66670i	0.574318	+	1.19258i	−0.388253	+	0.921553i	$0.626921\pi$
$6$	−0.256819	−	0.141490i	−0.104846	−	0.0577629i
$7$	−2.08535	+	1.62828i	−0.788189	+	0.615434i
$7$	−2.08535	+	1.62828i	−0.788189	+	0.615434i
$8$	−0.793935	−	2.71471i	−0.280698	−	0.959796i
$9$	1.84367	−	2.31189i	0.614556	−	0.770628i
$10$	3.66622	+	2.01984i	1.15936	+	0.638729i
$11$	4.48420	−	3.57603i	1.35204	−	1.07821i	0.362803	−	0.931866i	$-0.381820\pi$
$11$	4.48420	−	3.57603i	1.35204	−	1.07821i	0.989233	−	0.146347i	$-0.0467517\pi$
$12$	−0.411936	+	0.0475330i	−0.118916	+	0.0137216i
$13$	1.13887	−	0.908221i	0.315866	−	0.251895i	−0.452703	−	0.891661i	$-0.649540\pi$
$13$	1.13887	−	0.908221i	0.315866	−	0.251895i	0.768570	+	0.639766i	$0.220969\pi$
$14$	−1.06786	+	3.58604i	−0.285397	+	0.958409i
$15$	0.382617	−	0.479787i	0.0987914	−	0.123880i
$16$	−3.14066	−	2.47715i	−0.785164	−	0.619288i
$17$	1.58067	+	6.92539i	0.383370	+	1.67965i	0.686837	+	0.726811i	$0.258998\pi$
$17$	1.58067	+	6.92539i	0.383370	+	1.67965i	−0.303467	+	0.952842i	$0.598144\pi$
$18$	0.228880	−	4.17558i	0.0539474	−	0.984193i
$19$		−	3.79109i		−	0.869736i	−0.900494	−	0.434868i	$-0.856795\pi$
$19$		−	3.79109i		−	0.869736i	0.900494	−	0.434868i	$-0.143205\pi$
$20$	5.88060	−	0.678559i	1.31494	−	0.151730i
$21$	0.491763	+	0.243069i	0.107311	+	0.0530419i
$22$	2.23502	−	7.79722i	0.476509	−	1.66237i
$23$	−0.879372	+	3.85278i	−0.183362	+	0.803360i	0.796653	+	0.604436i	$0.206602\pi$
$23$	−0.879372	+	3.85278i	−0.183362	+	0.803360i	−0.980015	+	0.198924i	$0.936255\pi$
$24$	−0.435692	+	0.392522i	−0.0889352	+	0.0801231i
$25$	−2.34462	+	2.94006i	−0.468923	+	0.588011i
$26$	0.567639	−	1.98030i	0.111323	−	0.388368i
$27$	−1.20413	−	0.274834i	−0.231734	−	0.0528919i
$28$	1.70976	+	5.00767i	0.323114	+	0.946360i
$29$	1.93877	−	0.442512i	0.360021	−	0.0821724i	−0.0386845	−	0.999251i	$-0.512317\pi$
$29$	1.93877	−	0.442512i	0.360021	−	0.0821724i	0.398705	+	0.917079i	$0.369460\pi$
$30$	0.0474995	−	0.866560i	0.00867218	−	0.158212i
$31$	−5.81541			−1.04448			−0.522239	−	0.852799i	$-0.674903\pi$
$31$	−5.81541			−1.04448			−0.522239	+	0.852799i	$0.674903\pi$
$32$	−5.64995	−	0.279311i	−0.998780	−	0.0493757i
$33$	−1.07140	−	0.515961i	−0.186507	−	0.0898172i
$34$	7.49958	+	6.68397i	1.28617	+	1.14629i
$35$	−7.02018	−	3.46993i	−1.18663	−	0.586526i
$36$	−3.15987	−	4.99909i	−0.526645	−	0.833182i
$37$	−7.94138	+	1.81257i	−1.30556	+	0.297984i	−0.818056	−	0.575139i	$-0.804948\pi$
$37$	−7.94138	+	1.81257i	−1.30556	+	0.297984i	−0.487499	+	0.873123i	$0.662091\pi$
$38$	−3.10835	−	4.36839i	−0.504242	−	0.708647i
$39$	−0.272109	−	0.131041i	−0.0435723	−	0.0209833i
$40$	6.21973	−	5.60345i	0.983426	−	0.885984i
$41$	−8.95618	+	4.31307i	−1.39872	+	0.673588i	−0.972901	−	0.231220i	$-0.925728\pi$
$41$	−8.95618	+	4.31307i	−1.39872	+	0.673588i	−0.425819	+	0.904808i	$0.640014\pi$
$42$	0.765942	−	0.123119i	0.118187	−	0.0189976i
$43$	−4.28941	+	8.90705i	−0.654129	+	1.35831i	0.264959	+	0.964260i	$0.414642\pi$
$43$	−4.28941	+	8.90705i	−0.654129	+	1.35831i	−0.919088	+	0.394053i	$0.871073\pi$
$44$	−3.81765	−	10.8171i	−0.575533	−	1.63074i
$45$	8.53276	+	1.94755i	1.27199	+	0.290323i
$46$	2.14565	+	5.16048i	0.316359	+	0.760872i
$47$	−5.83993	−	7.32304i	−0.851841	−	1.06818i	−0.996894	−	0.0787512i	$-0.974907\pi$
$47$	−5.83993	−	7.32304i	−0.851841	−	1.06818i	0.145053	−	0.989424i	$-0.453665\pi$
$48$	−0.180206	+	0.809523i	−0.0260105	+	0.116845i
$49$	1.69738	−	6.79109i	0.242483	−	0.970156i
$50$	−0.291069	+	5.31014i	−0.0411634	+	0.750967i
$51$	1.15148	−	0.918274i	0.161239	−	0.128584i
$52$	−0.969588	−	2.74727i	−0.134458	−	0.380977i
$53$	7.34468	+	1.67637i	1.00887	+	0.230268i	0.694855	−	0.719150i	$-0.255469\pi$
$53$	7.34468	+	1.67637i	1.00887	+	0.230268i	0.314015	+	0.949418i	$0.398326\pi$
$54$	−1.61283	+	0.670591i	−0.219478	+	0.0912559i
$55$	15.2948	+	7.36561i	2.06236	+	0.993179i
$56$	6.07596	+	4.36838i	0.811934	+	0.583749i
$57$	−0.708183	+	0.341043i	−0.0938011	+	0.0451722i
$58$	1.87119	−	2.09952i	0.245699	−	0.275680i
$59$	1.35896	−	2.82191i	0.176922	−	0.367382i	−0.793584	−	0.608461i	$-0.791787\pi$
$59$	1.35896	−	2.82191i	0.176922	−	0.367382i	0.970505	+	0.241079i	$0.0775014\pi$
$60$	−0.655769	−	1.03746i	−0.0846594	−	0.133936i
$61$	3.22852	−	0.736888i	0.413370	−	0.0943489i	−0.0107782	−	0.999942i	$-0.503431\pi$
$61$	3.22852	−	0.736888i	0.413370	−	0.0943489i	0.424148	+	0.905593i	$0.360574\pi$
$62$	−6.70097	+	4.76811i	−0.851024	+	0.605551i
$63$	−0.0802855	+	7.82311i	−0.0101150	+	0.985619i
$64$	−6.73933	+	4.31061i	−0.842417	+	0.538827i
$65$	3.88450	+	1.87068i	0.481813	+	0.232029i
$66$	−1.65760	+	0.283924i	−0.204036	+	0.0349487i
$67$		−	8.46231i		−	1.03384i	−0.856035	−	0.516918i	$-0.827079\pi$
$67$		−	8.46231i		−	1.03384i	0.856035	−	0.516918i	$-0.172921\pi$
$68$	14.1219	+	1.55281i	1.71253	+	0.188306i
$69$	0.798814	−	0.182324i	0.0961659	−	0.0219492i
$70$	−10.9342	+	1.75759i	−1.30689	+	0.210072i
$71$	−0.949657	+	4.16072i	−0.112704	+	0.493787i	0.886796	+	0.462161i	$0.152926\pi$
$71$	−0.949657	+	4.16072i	−0.112704	+	0.493787i	−0.999500	+	0.0316260i	$0.989931\pi$
$72$	−7.73986	−	3.16954i	−0.912151	−	0.373534i
$73$	−4.98837	+	6.25522i	−0.583845	+	0.732118i	−0.982763	−	0.184868i	$-0.940814\pi$
$73$	−4.98837	+	6.25522i	−0.583845	+	0.732118i	0.398918	+	0.916986i	$0.369386\pi$
$74$	−7.66454	+	8.59981i	−0.890985	+	0.999707i
$75$	0.760127	+	0.173494i	0.0877719	+	0.0200334i
$76$	−7.16338	−	2.48503i	−0.821696	−	0.285053i
$77$	−3.52833	+	14.7588i	−0.402091	+	1.68192i
$78$	−0.420987	+	0.0721095i	−0.0476674	+	0.00816480i
$79$	3.23144			0.363565			0.181782	−	0.983339i	$-0.441813\pi$
$79$	3.23144			0.363565			0.181782	+	0.983339i	$0.441813\pi$
$80$	2.57254	−	11.5564i	0.287618	−	1.29204i
$81$	−1.91701	−	8.39896i	−0.213001	−	0.933218i
$82$	−6.78369	+	12.3131i	−0.749133	+	1.35976i
$83$	1.65753	+	1.32183i	0.181937	+	0.145090i	0.710224	−	0.703976i	$-0.248594\pi$
$83$	1.65753	+	1.32183i	0.181937	+	0.145090i	−0.528286	+	0.849066i	$0.677165\pi$
$84$	0.781633	−	0.769871i	0.0852832	−	0.0839999i
$85$	−16.4380	+	13.1089i	−1.78295	+	1.42185i
$86$	2.36039	+	13.7803i	0.254527	+	1.48597i
$87$	−0.257072	−	0.322358i	−0.0275610	−	0.0345604i
$88$	−13.2681	−	9.33418i	−1.41438	−	0.995026i
$89$	1.09229	−	1.36969i	0.115782	−	0.145186i	−0.720563	−	0.693390i	$-0.756117\pi$
$89$	1.09229	−	1.36969i	0.115782	−	0.145186i	0.836345	+	0.548203i	$0.184688\pi$
$90$	11.4289	−	4.75198i	1.20472	−	0.500903i
$91$	−0.896107	+	3.74837i	−0.0939376	+	0.392936i
$92$	6.70352	+	4.18707i	0.698891	+	0.436532i
$93$	0.523149	+	1.08633i	0.0542480	+	0.112647i
$94$	−12.7335	−	3.64996i	−1.31336	−	0.376465i
$95$	10.1097	−	4.86857i	1.03723	−	0.499505i
$96$	0.456089	+	1.08055i	0.0465494	+	0.110283i
$97$	9.06066			0.919971			0.459985	−	0.887927i	$-0.347855\pi$
$97$	9.06066			0.919971			0.459985	+	0.887927i	$0.347855\pi$
$98$	−3.61223	−	9.21693i	−0.364891	−	0.931050i
$99$		−	16.9600i		−	1.70454i
$100$	4.01845	+	6.35741i	0.401845	+	0.635741i
$101$	−0.248917	−	0.516882i	−0.0247682	−	0.0514317i	0.888218	−	0.459423i	$-0.151944\pi$
$101$	−0.248917	−	0.516882i	−0.0247682	−	0.0514317i	−0.912986	+	0.407991i	$0.866229\pi$
$102$	0.573923	−	2.00222i	0.0568268	−	0.198249i
$103$	0.139874	−	0.0673599i	0.0137822	−	0.00663717i	−0.426980	−	0.904261i	$-0.640423\pi$
$103$	0.139874	−	0.0673599i	0.0137822	−	0.00663717i	0.440762	+	0.897624i	$0.354708\pi$
$104$	−3.36975	−	2.37064i	−0.330431	−	0.232461i
$105$	−0.0166617	+	1.62353i	−0.00162602	+	0.158441i
$106$	9.83760	−	4.09033i	0.955512	−	0.397288i
$107$	−4.90021	−	3.90778i	−0.473721	−	0.377780i	0.357328	−	0.933979i	$-0.383688\pi$
$107$	−4.90021	−	3.90778i	−0.473721	−	0.377780i	−0.831049	+	0.556199i	$0.812259\pi$
$108$	−1.30861	+	2.09508i	−0.125921	+	0.201600i
$109$	−5.24075	+	4.17936i	−0.501973	+	0.400310i	−0.841476	−	0.540295i	$-0.818313\pi$
$109$	−5.24075	+	4.17936i	−0.501973	+	0.400310i	0.339503	+	0.940605i	$0.389741\pi$
$110$	23.6631	−	4.05317i	2.25619	−	0.386454i
$111$	1.05299	+	1.32041i	0.0999454	+	0.125328i
$112$	10.5829	+	0.0518461i	0.999988	+	0.00489899i
$113$	−7.64849	+	9.59090i	−0.719509	+	0.902236i	−0.998310	−	0.0581128i	$-0.981492\pi$
$113$	−7.64849	+	9.59090i	−0.719509	+	0.902236i	0.278801	+	0.960349i	$0.410063\pi$
$114$	−0.536399	+	0.973623i	−0.0502384	+	0.0911881i
$115$	−11.4035	+	2.60277i	−1.06338	+	0.242710i
$116$	0.434712	−	3.95343i	0.0403620	−	0.367067i
$117$		−	4.30740i		−	0.398219i
$118$	−0.747813	−	4.36586i	−0.0688418	−	0.401910i
$119$	−14.5728	−	11.8681i	−1.33588	−	1.08794i
$120$	−1.60626	−	0.657776i	−0.146631	−	0.0600465i
$121$	4.87232	−	21.3470i	0.442938	−	1.94064i
$122$	3.11597	−	3.49620i	0.282107	−	0.316531i
$123$	1.61138	+	1.28503i	0.145293	+	0.115867i
$124$	−3.81196	+	10.9884i	−0.342324	+	0.986787i
$125$	3.57678	+	0.816377i	0.319917	+	0.0730190i
$126$	6.32174	+	9.08023i	0.563185	+	0.808931i
$127$	−0.221753	−	0.971564i	−0.0196774	−	0.0862124i	0.964136	−	0.265409i	$-0.0855071\pi$
$127$	−0.221753	−	0.971564i	−0.0196774	−	0.0862124i	−0.983813	+	0.179197i	$0.942650\pi$
$128$	−4.23128	+	10.4927i	−0.373995	+	0.927431i
$129$	2.04973			0.180468
$130$	6.00982	−	1.02940i	0.527096	−	0.0902845i
$131$	4.66866	−	9.69457i	0.407902	−	0.847018i	−0.591275	−	0.806470i	$-0.701375\pi$
$131$	4.66866	−	9.69457i	0.407902	−	0.847018i	0.999178	−	0.0405482i	$-0.0129104\pi$
$132$	−1.67722	+	1.68624i	−0.145983	+	0.146768i
$133$	6.17297	+	7.90575i	0.535265	+	0.685516i
$134$	−6.93834	−	9.75094i	−0.599381	−	0.842353i
$135$	−0.813457	−	3.56399i	−0.0700112	−	0.306739i
$136$	17.5455	−	9.78939i	1.50451	−	0.839433i
$137$	−0.884610	−	0.426006i	−0.0755773	−	0.0363961i	0.395713	−	0.918374i	$-0.370497\pi$
$137$	−0.884610	−	0.426006i	−0.0755773	−	0.0363961i	−0.471291	+	0.881978i	$0.656212\pi$
$138$	0.770967	−	0.865044i	0.0656291	−	0.0736374i
$139$	5.60515	+	11.6392i	0.475423	+	0.987226i	0.991430	+	0.130642i	$0.0417037\pi$
$139$	5.60515	+	11.6392i	0.475423	+	0.987226i	−0.516007	+	0.856585i	$0.672582\pi$
$140$	−11.1582	+	10.9903i	−0.943042	+	0.928852i
$141$	−0.842603	+	1.74968i	−0.0709600	+	0.147350i
$142$	2.31715	+	5.57295i	0.194451	+	0.467671i
$143$	1.85911	−	8.14528i	0.155466	−	0.681143i
$144$	−11.5172	+	2.69380i	−0.959768	+	0.224483i
$145$	3.66984	+	4.60184i	0.304764	+	0.382162i
$146$	−0.619275	+	11.2978i	−0.0512516	+	0.935011i
$147$	−1.42128	+	0.293847i	−0.117225	+	0.0242361i
$148$	−1.78062	+	16.1936i	−0.146366	+	1.33111i
$149$	10.3633	−	8.26442i	0.848991	−	0.677048i	−0.0990896	−	0.995079i	$-0.531593\pi$
$149$	10.3633	−	8.26442i	0.848991	−	0.677048i	0.948080	+	0.318031i	$0.103022\pi$
$150$	1.01813	−	0.423323i	0.0831298	−	0.0345642i
$151$	−1.51575	+	6.64092i	−0.123350	+	0.540430i	0.875058	+	0.484018i	$0.160823\pi$
$151$	−1.51575	+	6.64092i	−0.123350	+	0.540430i	−0.998408	+	0.0564120i	$0.982034\pi$
$152$	−10.2917	+	3.00988i	−0.834769	+	0.244133i
$153$	18.9249	+	9.11377i	1.52999	+	0.736805i
$154$	8.03529	+	19.8992i	0.647502	+	1.60352i
$155$	−7.46822	−	15.5079i	−0.599862	−	1.24563i
$156$	−0.425972	+	0.428262i	−0.0341050	+	0.0342884i
$157$	7.61636	−	15.8155i	0.607852	−	1.26222i	−0.339073	−	0.940760i	$-0.610113\pi$
$157$	7.61636	−	15.8155i	0.607852	−	1.26222i	0.946924	−	0.321457i	$-0.104172\pi$
$158$	3.72352	−	2.64949i	0.296227	−	0.210782i
$159$	−0.347570	−	1.52280i	−0.0275641	−	0.120766i
$160$	−6.51091	−	15.4254i	−0.514732	−	1.21949i
$161$	−4.43962	−	9.46626i	−0.349891	−	0.746046i
$162$	−9.09533	−	8.10617i	−0.714596	−	0.636881i
$163$	−1.70106	+	3.53229i	−0.133237	+	0.276670i	−0.956904	−	0.290404i	$-0.906210\pi$
$163$	−1.70106	+	3.53229i	−0.133237	+	0.276670i	0.823667	+	0.567074i	$0.191925\pi$
$164$	2.27896	+	19.7502i	0.177957	+	1.54223i
$165$		−	3.51971i		−	0.274009i
$166$	2.99372	+	0.164097i	0.232357	+	0.0127364i
$167$	−2.59612	−	11.3743i	−0.200894	−	0.880173i	−0.970394	−	0.241526i	$-0.922352\pi$
$167$	−2.59612	−	11.3743i	−0.200894	−	0.880173i	0.769501	−	0.638646i	$-0.220505\pi$
$168$	0.269434	−	1.52798i	0.0207873	−	0.117886i
$169$	−2.42061	+	10.6054i	−0.186200	+	0.815798i
$170$	−8.19305	+	28.5827i	−0.628378	+	2.19220i
$171$	−8.76457	−	6.98951i	−0.670243	−	0.534501i
$172$	14.0185	+	13.9435i	1.06890	+	1.06318i
$173$	−11.1161	−	2.53719i	−0.845145	−	0.192899i	−0.222041	−	0.975037i	$-0.571272\pi$
$173$	−11.1161	−	2.53719i	−0.845145	−	0.192899i	−0.623104	+	0.782139i	$0.714129\pi$
$174$	−0.560524	−	0.160670i	−0.0424932	−	0.0121804i
$175$	0.102100	−	9.94875i	0.00771805	−	0.752055i
$176$	−22.9417	+	0.123043i	−1.72929	+	0.00927471i
$177$	−0.649389			−0.0488111
$178$	0.135601	−	2.47384i	0.0101637	−	0.185422i
$179$	−12.9187	+	2.94861i	−0.965589	+	0.220389i	−0.676115	−	0.736796i	$-0.736338\pi$
$179$	−12.9187	+	2.94861i	−0.965589	+	0.220389i	−0.289475	+	0.957186i	$0.593481\pi$
$180$	9.27312	−	14.8463i	0.691177	−	1.10658i
$181$	4.90353	+	3.91043i	0.364476	+	0.290660i	0.788554	−	0.614966i	$-0.210830\pi$
$181$	4.90353	+	3.91043i	0.364476	+	0.290660i	−0.424078	+	0.905626i	$0.639402\pi$
$182$	2.04076	+	5.05389i	0.151271	+	0.374619i
$183$	−0.428087	−	0.536804i	−0.0316451	−	0.0396817i
$184$	11.1574	−	0.671615i	0.822531	−	0.0495121i
$185$	−15.0320	−	18.8495i	−1.10517	−	1.38585i
$186$	1.49351	+	0.822819i	0.109509	+	0.0603320i
$187$	31.8534	+	25.4023i	2.32935	+	1.85760i
$188$	−17.6651	+	6.23452i	−1.28836	+	0.454699i
$189$	2.95854	−	1.38754i	0.215202	−	0.100928i
$190$	7.65739	−	13.8990i	0.555525	−	1.00834i
$191$	17.6936	−	8.52079i	1.28026	−	0.616543i	0.334807	−	0.942287i	$-0.391329\pi$
$191$	17.6936	−	8.52079i	1.28026	−	0.616543i	0.945458	+	0.325744i	$0.105615\pi$
$192$	1.41149	+	0.871142i	0.101866	+	0.0628692i
$193$	21.6930	−	10.4468i	1.56150	−	0.751978i	0.564215	−	0.825628i	$-0.309179\pi$
$193$	21.6930	−	10.4468i	1.56150	−	0.751978i	0.997284	+	0.0736499i	$0.0234647\pi$
$194$	10.4404	−	7.42893i	0.749578	−	0.533366i
$195$		−	0.893917i		−	0.0640147i
$196$	−11.7194	−	7.65876i	−0.837097	−	0.547055i
$197$		−	13.0711i		−	0.931276i	−0.884975	−	0.465638i	$-0.845825\pi$
$197$		−	13.0711i		−	0.931276i	0.884975	−	0.465638i	$-0.154175\pi$
$198$	−13.9056	−	19.5426i	−0.988231	−	1.38883i
$199$	−16.2196	+	7.81097i	−1.14978	+	0.553705i	−0.908967	−	0.416867i	$-0.863128\pi$
$199$	−16.2196	+	7.81097i	−1.14978	+	0.553705i	−0.240812	+	0.970572i	$0.577414\pi$
$200$	9.84288	+	4.03075i	0.695997	+	0.285017i
$201$	−1.58078	+	0.761261i	−0.111499	+	0.0536952i
$202$	−0.710619	−	0.391502i	−0.0499990	−	0.0275460i
$203$	−3.32248	+	4.07967i	−0.233193	+	0.286336i
$204$	−0.980320	−	2.77768i	−0.0686362	−	0.194476i
$205$	−23.0033	−	18.3445i	−1.60662	−	1.28124i
$206$	0.105945	−	0.192302i	0.00738155	−	0.0133983i
$207$	7.28592	+	9.13625i	0.506406	+	0.635013i
$208$	−5.82661	+	0.0312498i	−0.404002	+	0.00216678i
$209$	−13.5570	−	17.0000i	−0.937760	−	1.17591i
$210$	1.31195	+	1.88443i	0.0905334	+	0.130038i
$211$	19.9426	+	15.9037i	1.37290	+	1.09485i	0.984886	+	0.173202i	$0.0554113\pi$
$211$	19.9426	+	15.9037i	1.37290	+	1.09485i	0.388017	+	0.921652i	$0.373160\pi$
$212$	7.98195	−	12.7791i	0.548203	−	0.877675i
$213$	0.862661	−	0.196897i	0.0591085	−	0.0134911i
$214$	−8.85044	−	0.485127i	−0.605004	−	0.0331626i
$215$	−29.2609			−1.99558
$216$	0.209903	+	3.48706i	0.0142821	+	0.237264i
$217$	12.1272	−	9.46914i	0.823246	−	0.642807i
$218$	−2.61211	+	9.11273i	−0.176914	+	0.617192i
$219$	1.61724	+	0.369124i	0.109283	+	0.0249431i
$220$	23.9432	−	24.0720i	1.61425	−	1.62293i
$221$	8.08996	+	6.45153i	0.544190	+	0.433977i
$222$	2.29596	+	0.658121i	0.154094	+	0.0441702i
$223$	−1.35353	+	5.93021i	−0.0906392	+	0.397116i	−0.999814	−	0.0192989i	$-0.993857\pi$
$223$	−1.35353	+	5.93021i	−0.0906392	+	0.397116i	0.909175	+	0.416415i	$0.136714\pi$
$224$	12.2369	−	8.61727i	0.817615	−	0.575766i
$225$	2.47438	+	10.8410i	0.164959	+	0.722731i
$226$	−0.949511	+	17.3225i	−0.0631606	+	1.15227i
$227$		−	2.46265i		−	0.163452i	−0.996655	−	0.0817258i	$-0.973957\pi$
$227$		−	2.46265i		−	0.163452i	0.996655	−	0.0817258i	$-0.0260432\pi$
$228$	0.180202	+	1.56168i	0.0119342	+	0.103425i
$229$	−3.57814	+	7.43007i	−0.236450	+	0.490993i	−0.985102	−	0.171970i	$-0.944987\pi$
$229$	−3.57814	+	7.43007i	−0.236450	+	0.490993i	0.748652	+	0.662963i	$0.230701\pi$
$230$	−11.0060	+	12.3490i	−0.725712	+	0.814267i
$231$	3.07438	−	0.668590i	0.202279	−	0.0439900i
$232$	−2.74055	−	4.91188i	−0.179926	−	0.322481i
$233$	−0.837322	−	3.66855i	−0.0548548	−	0.240335i	0.940066	−	0.340991i	$-0.110763\pi$
$233$	−0.837322	−	3.66855i	−0.0548548	−	0.240335i	−0.994921	+	0.100657i	$0.967906\pi$
$234$	−3.53168	−	4.96333i	−0.230873	−	0.324463i
$235$	12.0286	−	24.9777i	0.784660	−	1.62936i
$236$	−4.44130	−	4.41755i	−0.289104	−	0.287558i
$237$	−0.290697	−	0.603638i	−0.0188828	−	0.0392105i
$238$	−26.5226	−	1.72697i	−1.71921	−	0.111943i
$239$	9.03999	+	4.35343i	0.584748	+	0.281600i	0.702777	−	0.711410i	$-0.251943\pi$
$239$	9.03999	+	4.35343i	0.584748	+	0.281600i	−0.118029	+	0.993010i	$0.537657\pi$
$240$	−2.39017	+	0.559045i	−0.154285	+	0.0360862i
$241$	−3.30707	+	14.4892i	−0.213027	+	0.933334i	0.749469	+	0.662040i	$0.230309\pi$
$241$	−3.30707	+	14.4892i	−0.213027	+	0.933334i	−0.962496	+	0.271295i	$0.912548\pi$
$242$	−11.8884	−	28.5926i	−0.764214	−	1.83800i
$243$	−4.29340	+	3.42387i	−0.275421	+	0.219641i
$244$	0.723900	−	6.58341i	0.0463429	−	0.421460i
$245$	20.2896	−	4.19482i	1.29625	−	0.267997i
$246$	2.91037	+	0.159529i	0.185558	+	0.0101712i
$247$	−3.44315	−	4.31757i	−0.219082	−	0.274720i
$248$	4.61706	+	15.7872i	0.293183	+	1.00249i
$249$	0.0978114	−	0.428540i	0.00619854	−	0.0271576i
$250$	4.79081	−	1.99195i	0.302997	−	0.125982i
$251$	−12.7623	+	26.5012i	−0.805550	+	1.67274i	−0.0677695	+	0.997701i	$0.521588\pi$
$251$	−12.7623	+	26.5012i	−0.805550	+	1.67274i	−0.737780	+	0.675041i	$0.764126\pi$
$252$	14.7294	+	5.27970i	0.927864	+	0.332590i
$253$	9.83437	+	20.4213i	0.618282	+	1.28387i
$254$	−1.05212	−	0.937695i	−0.0660157	−	0.0588362i
$255$	3.92750	+	1.89139i	0.245950	+	0.118443i
$256$	3.72745	+	15.5598i	0.232965	+	0.972485i
$257$	−5.00352	−	21.9218i	−0.312111	−	1.36745i	−0.851042	−	0.525097i	$-0.824029\pi$
$257$	−5.00352	−	21.9218i	−0.312111	−	1.36745i	0.538931	−	0.842350i	$-0.318828\pi$
$258$	2.36186	−	1.68059i	0.147043	−	0.104629i
$259$	13.6092	−	16.7107i	0.845634	−	1.03835i
$260$	6.08097	−	6.11367i	0.377126	−	0.379154i
$261$	2.55141	−	5.29806i	0.157928	−	0.327942i
$262$	−2.56908	−	14.9987i	−0.158718	−	0.926624i
$263$	17.3379			1.06910			0.534549	−	0.845137i	$-0.320481\pi$
$263$	17.3379			1.06910			0.534549	+	0.845137i	$0.320481\pi$
$264$	−0.550060	+	3.31819i	−0.0338539	+	0.204221i
$265$	4.96175	+	21.7388i	0.304798	+	1.33541i
$266$	13.5950	+	4.04835i	0.833563	+	0.248220i
$267$	−0.354121	−	0.0808258i	−0.0216718	−	0.00494646i
$268$	−15.9898	−	5.54699i	−0.976733	−	0.338836i
$269$	−9.94020	−	7.92704i	−0.606065	−	0.483320i	0.271720	−	0.962376i	$-0.412408\pi$
$269$	−9.94020	−	7.92704i	−0.606065	−	0.483320i	−0.877784	+	0.479056i	$0.840979\pi$
$270$	−3.85948	−	3.43975i	−0.234881	−	0.209336i
$271$	1.82202	−	7.98278i	0.110680	−	0.484919i	−0.888958	−	0.457989i	$-0.848570\pi$
$271$	1.82202	−	7.98278i	0.110680	−	0.484919i	0.999637	−	0.0269299i	$-0.00857310\pi$
$272$	12.1909	−	25.6658i	0.739180	−	1.55622i
$273$	0.780815	−	0.169805i	0.0472571	−	0.0102771i
$274$	−1.36860	+	0.234424i	−0.0826804	+	0.0141620i
$275$			21.5682i			1.30061i
$276$	0.179110	−	1.62890i	0.0107812	−	0.0980480i
$277$	2.77576	−	0.633549i	0.166779	−	0.0380663i	−0.138316	−	0.990388i	$-0.544169\pi$
$277$	2.77576	−	0.633549i	0.166779	−	0.0380663i	0.305095	+	0.952322i	$0.401312\pi$
$278$	16.0018	+	8.81591i	0.959726	+	0.528743i
$279$	−10.7217	+	13.4446i	−0.641890	+	0.804905i
$280$	−3.84631	+	21.8127i	−0.229861	+	1.30356i
$281$	−4.70703	−	5.90243i	−0.280798	−	0.352110i	0.621352	−	0.783531i	$-0.286584\pi$
$281$	−4.70703	−	5.90243i	−0.280798	−	0.352110i	−0.902150	+	0.431422i	$0.858012\pi$
$282$	0.463670	+	2.70698i	0.0276111	+	0.161198i
$283$	−3.33251	+	2.65759i	−0.198097	+	0.157977i	−0.717515	−	0.696543i	$-0.754720\pi$
$283$	−3.33251	+	2.65759i	−0.198097	+	0.157977i	0.519417	+	0.854521i	$0.326149\pi$
$284$	7.23932	+	4.52173i	0.429574	+	0.268315i
$285$	−1.81892	−	1.45054i	−0.107743	−	0.0859224i
$286$	−4.53619	−	10.9099i	−0.268231	−	0.645118i
$287$	11.6539	−	23.5775i	0.687906	−	1.39173i
$288$	−11.0624	+	12.5471i	−0.651856	+	0.739344i
$289$	−30.1460	+	14.5175i	−1.77329	+	0.853973i
$290$	8.00177	+	2.29366i	0.469880	+	0.134688i
$291$	−0.815088	−	1.69255i	−0.0477813	−	0.0992189i
$292$	8.54959	+	13.5259i	0.500327	+	0.791546i
$293$		−	20.5016i		−	1.19772i	−0.800854	−	0.598860i	$-0.795621\pi$
$293$		−	20.5016i		−	1.19772i	0.800854	−	0.598860i	$-0.204379\pi$
$294$	−1.39679	+	1.50392i	−0.0814622	+	0.0877103i
$295$	9.27038			0.539742
$296$	11.2255	+	20.1195i	0.652472	+	1.16942i
$297$	−6.38236	+	3.07358i	−0.370342	+	0.178347i
$298$	5.16527	−	18.0199i	0.299216	−	1.04386i
$299$	2.49768	+	5.18649i	0.144445	+	0.299942i
$300$	0.826081	−	1.32256i	0.0476938	−	0.0763580i
$301$	−5.55829	−	25.5587i	−0.320375	−	1.47318i
$302$	3.69840	+	8.89497i	0.212819	+	0.511848i
$303$	−0.0741622	+	0.0929965i	−0.00426051	+	0.00534251i
$304$	−9.39110	+	11.9065i	−0.538617	+	0.682885i
$305$	6.11116	+	7.66316i	0.349924	+	0.438791i
$306$	29.2793	−	5.01515i	1.67379	−	0.286697i
$307$	1.63650	−	1.30507i	0.0934002	−	0.0744842i	−0.575676	−	0.817678i	$-0.695261\pi$
$307$	1.63650	−	1.30507i	0.0934002	−	0.0744842i	0.669077	+	0.743193i	$0.266690\pi$
$308$	25.5745	+	16.3412i	1.45724	+	0.931127i
$309$	−0.0251659	−	0.0200692i	−0.00143164	−	0.00114169i
$310$	−21.3206	−	11.7462i	−1.21093	−	0.667138i
$311$	6.89416	+	30.2053i	0.390932	+	1.71279i	0.661380	+	0.750051i	$0.269971\pi$
$311$	6.89416	+	30.2053i	0.390932	+	1.71279i	−0.270448	+	0.962735i	$0.587172\pi$
$312$	−0.139701	+	0.842736i	−0.00790903	+	0.0477105i
$313$	−13.0211			−0.735996			−0.367998	−	0.929827i	$-0.619957\pi$
$313$	−13.0211			−0.735996			−0.367998	+	0.929827i	$0.619957\pi$
$314$	−4.19115	−	24.4686i	−0.236520	−	1.38085i
$315$	−20.9650	+	9.83244i	−1.18124	+	0.553995i
$316$	2.11819	−	6.10590i	0.119157	−	0.343484i
$317$	−14.4966	−	3.30875i	−0.814208	−	0.185838i	−0.204912	−	0.978780i	$-0.565691\pi$
$317$	−14.4966	−	3.30875i	−0.814208	−	0.185838i	−0.609296	+	0.792943i	$0.708548\pi$
$318$	−1.64906	−	1.46972i	−0.0924748	−	0.0824178i
$319$	7.11140	−	8.91741i	0.398162	−	0.499279i
$320$	−20.1498	−	12.4360i	−1.12641	−	0.695194i
$321$	−0.289164	+	1.26691i	−0.0161395	+	0.0707119i
$322$	−12.8772	−	7.26768i	−0.717617	−	0.405012i
$323$	26.2548	−	5.99248i	1.46085	−	0.333430i
$324$	−17.1267	−	1.88322i	−0.951483	−	0.104623i
$325$			5.47778i			0.303852i
$326$	0.936065	+	5.46490i	0.0518439	+	0.302673i
$327$	1.25217	+	0.603011i	0.0692449	+	0.0333466i
$328$	18.8194	+	20.8892i	1.03913	+	1.15341i
$329$	24.1023	+	5.76204i	1.32880	+	0.317672i
$330$	−2.88585	−	4.05569i	−0.158861	−	0.223258i
$331$	3.61240	−	0.824507i	0.198556	−	0.0453190i	−0.122086	−	0.992519i	$-0.538958\pi$
$331$	3.61240	−	0.824507i	0.198556	−	0.0453190i	0.320642	+	0.947200i	$0.396101\pi$
$332$	3.58414	−	2.26549i	0.196705	−	0.124335i
$333$	−10.4508	+	21.7013i	−0.572701	+	1.18923i
$334$	−12.3174	−	10.9778i	−0.673978	−	0.600680i
$335$	22.5664	−	10.8674i	1.23293	−	0.593750i
$336$	−0.942341	−	1.98157i	−0.0514089	−	0.108103i
$337$	17.0143	+	8.19367i	0.926830	+	0.446338i	0.835505	−	0.549483i	$-0.185175\pi$
$337$	17.0143	+	8.19367i	0.926830	+	0.446338i	0.0913251	+	0.995821i	$0.470890\pi$
$338$	5.90624	+	14.2050i	0.321257	+	0.772651i
$339$	2.47965	+	0.565964i	0.134676	+	0.0307389i
$340$	13.9946	+	39.6528i	0.758964	+	2.15048i
$341$	−26.0774	+	20.7961i	−1.41217	+	1.12617i
$342$	−15.8300	−	0.867703i	−0.855988	−	0.0469200i
$343$	7.51820	+	16.9256i	0.405945	+	0.913898i
$344$	27.5856	+	4.57290i	1.48732	+	0.246554i
$345$	1.51205	+	1.89605i	0.0814060	+	0.102080i
$346$	−14.8892	+	6.19070i	−0.800447	+	0.332814i
$347$	−11.5272	−	2.63101i	−0.618814	−	0.141240i	−0.0983893	−	0.995148i	$-0.531369\pi$
$347$	−11.5272	−	2.63101i	−0.618814	−	0.141240i	−0.520424	+	0.853908i	$0.674226\pi$
$348$	−0.777615	+	0.274442i	−0.0416845	+	0.0147116i
$349$	2.57445	−	5.34589i	0.137807	−	0.286159i	−0.820632	−	0.571457i	$-0.806378\pi$
$349$	2.57445	−	5.34589i	0.137807	−	0.286159i	0.958439	+	0.285298i	$0.0920926\pi$
$350$	−8.03944	−	11.5474i	−0.429726	−	0.617237i
$351$	−1.62096	+	0.780612i	−0.0865203	+	0.0416660i
$352$	−26.3343	+	18.9519i	−1.40362	+	1.01014i
$353$	−0.0298323	−	0.0143665i	−0.00158781	−	0.000764651i	0.433090	−	0.901351i	$-0.357423\pi$
$353$	−0.0298323	−	0.0143665i	−0.00158781	−	0.000764651i	−0.434677	+	0.900586i	$0.643138\pi$
$354$	−0.748278	+	0.532441i	−0.0397705	+	0.0282989i
$355$	−12.3149	+	2.81081i	−0.653609	+	0.149182i
$356$	−1.87208	−	2.96173i	−0.0992198	−	0.156971i
$357$	−0.906027	+	3.78986i	−0.0479520	+	0.200581i
$358$	−12.4684	+	13.9898i	−0.658973	+	0.739384i
$359$	−8.26976	−	3.98251i	−0.436461	−	0.210189i	0.202733	−	0.979234i	$-0.435018\pi$
$359$	−8.26976	−	3.98251i	−0.436461	−	0.210189i	−0.639194	+	0.769045i	$0.720732\pi$
$360$	−1.48743	−	24.7102i	−0.0783943	−	1.30234i
$361$	4.62764			0.243560
$362$	8.85644	+	0.485455i	0.465484	+	0.0255150i
$363$	−4.42598	+	1.01020i	−0.232303	+	0.0530217i
$364$	6.49526	+	4.15025i	0.340444	+	0.217532i
$365$	−23.0869	−	5.26944i	−1.20842	−	0.275815i
$366$	−0.933406	−	0.267555i	−0.0487899	−	0.0139853i
$367$	9.37910	−	11.7610i	0.489585	−	0.613920i	−0.474260	−	0.880385i	$-0.657284\pi$
$367$	9.37910	−	11.7610i	0.489585	−	0.613920i	0.963845	+	0.266465i	$0.0858556\pi$
$368$	12.3057	−	9.92192i	0.641480	−	0.517216i
$369$	−6.54089	+	28.6575i	−0.340505	+	1.49185i
$370$	−32.7760	−	9.39502i	−1.70394	−	0.488424i
$371$	−18.0458	+	8.46340i	−0.936894	+	0.439398i
$372$	2.39557	−	0.276424i	0.124205	−	0.0143319i
$373$		−	29.2910i		−	1.51663i	−0.651889	−	0.758314i	$-0.726023\pi$
$373$		−	29.2910i		−	1.51663i	0.651889	−	0.758314i	$-0.273977\pi$
$374$	57.5316	+	3.15353i	2.97489	+	0.163065i
$375$	−0.169263	−	0.741590i	−0.00874071	−	0.0382956i
$376$	−15.2434	+	21.6677i	−0.786120	+	1.11743i
$377$	1.80612	−	2.26480i	0.0930197	−	0.116643i
$378$	2.27140	−	4.02456i	0.116828	−	0.207001i
$379$	11.2906	−	9.00399i	0.579961	−	0.462504i	−0.289038	−	0.957318i	$-0.593335\pi$
$379$	11.2906	−	9.00399i	0.579961	−	0.462504i	0.868999	+	0.494814i	$0.164764\pi$
$380$	−2.57248	−	22.2939i	−0.131965	−	1.14365i
$381$	−0.161541	+	0.128825i	−0.00827601	+	0.00659990i
$382$	13.4017	−	24.3255i	0.685690	−	1.24460i
$383$	−14.6417	+	18.3601i	−0.748156	+	0.938158i	−0.999558	−	0.0297248i	$-0.990537\pi$
$383$	−14.6417	+	18.3601i	−0.748156	+	0.938158i	0.251402	+	0.967883i	$0.419108\pi$
$384$	2.34069	−	0.153501i	0.119448	−	0.00783332i
$385$	−43.8884	+	9.54448i	−2.23676	+	0.486432i
$386$	16.4310	−	29.8240i	0.836315	−	1.51800i
$387$	12.6838	+	26.3383i	0.644756	+	1.33885i
$388$	5.93920	−	17.1204i	0.301517	−	0.869157i
$389$	−3.50686	−	7.28207i	−0.177805	−	0.369216i	0.792951	−	0.609286i	$-0.208544\pi$
$389$	−3.50686	−	7.28207i	−0.177805	−	0.369216i	−0.970756	+	0.240070i	$0.922830\pi$
$390$	−0.732932	−	1.03004i	−0.0371135	−	0.0521582i
$391$	−28.0720			−1.41966
$392$	−19.7835	+	0.783791i	−0.999216	+	0.0395874i
$393$	−2.23095			−0.112537
$394$	−10.7171	−	15.0615i	−0.539921	−	0.758789i
$395$	4.14985	+	8.61726i	0.208802	+	0.433581i
$396$	−32.0464	−	11.1171i	−1.61039	−	0.558657i
$397$	−8.56305	−	17.7813i	−0.429767	−	0.892420i	−0.997598	−	0.0692748i	$-0.977931\pi$
$397$	−8.56305	−	17.7813i	−0.429767	−	0.892420i	0.567831	−	0.823145i	$-0.307783\pi$
$398$	−12.2853	+	22.2991i	−0.615804	+	1.11775i
$399$	0.921495	−	1.86432i	0.0461324	−	0.0933326i
$400$	14.6466	−	3.42574i	0.732330	−	0.171287i
$401$	11.3059	−	14.1772i	0.564592	−	0.707976i	−0.414807	−	0.909909i	$-0.636151\pi$
$401$	11.3059	−	14.1772i	0.564592	−	0.707976i	0.979399	+	0.201933i	$0.0647224\pi$
$402$	−1.19733	+	2.17328i	−0.0597173	+	0.108393i
$403$	−6.62301	+	5.28167i	−0.329916	+	0.263099i
$404$	−1.13983	+	0.131524i	−0.0567086	+	0.00654357i
$405$	19.9356	−	15.8981i	0.990610	−	0.789985i
$406$	−0.483468	+	7.42505i	−0.0239941	+	0.368499i
$407$	−29.1289	+	36.5265i	−1.44387	+	1.81055i
$408$	−3.40705	−	2.39689i	−0.168674	−	0.118664i
$409$	−1.37586	−	6.02805i	−0.0680321	−	0.298068i	0.929453	−	0.368940i	$-0.120279\pi$
$409$	−1.37586	−	6.02805i	−0.0680321	−	0.298068i	−0.997485	+	0.0708716i	$0.977422\pi$
$410$	−41.5471	−	2.27735i	−2.05186	−	0.112471i
$411$			0.203570i			0.0100414i
$412$	−0.0355920	−	0.308451i	−0.00175349	−	0.0151963i
$413$	1.76097	+	8.09745i	0.0866514	+	0.398450i
$414$	15.8863	+	4.55371i	0.780770	+	0.223803i
$415$	−1.39631	+	6.11763i	−0.0685421	+	0.300303i
$416$	−6.68825	+	4.81330i	−0.327919	+	0.235992i
$417$	1.66999	−	2.09411i	0.0817800	−	0.102549i
$418$	−29.5600	−	8.47317i	−1.44583	−	0.414437i
$419$	−8.52509	−	1.94580i	−0.416478	−	0.0950584i	0.00914666	−	0.999958i	$-0.497088\pi$
$419$	−8.52509	−	1.94580i	−0.416478	−	0.0950584i	−0.425625	+	0.904900i	$0.639946\pi$
$420$	3.05680	+	1.09570i	0.149156	+	0.0534646i
$421$	−15.8470	+	3.61697i	−0.772336	+	0.176281i	−0.590488	−	0.807046i	$-0.701065\pi$
$421$	−15.8470	+	3.61697i	−0.772336	+	0.176281i	−0.181847	+	0.983327i	$0.558208\pi$
$422$	36.0190	+	1.97434i	1.75338	+	0.0961094i
$423$	−27.6969			−1.34667
$424$	−1.28032	−	21.2696i	−0.0621779	−	1.03294i
$425$	−24.0671	−	11.5901i	−1.16743	−	0.562203i
$426$	0.832588	−	0.934185i	0.0403390	−	0.0452614i
$427$	−5.53273	+	6.79362i	−0.267748	+	0.328766i
$428$	−10.5959	+	6.69757i	−0.512174	+	0.323739i
$429$	−1.68880	+	0.385457i	−0.0815359	+	0.0186100i
$430$	−33.7167	+	23.9913i	−1.62597	+	1.15696i
$431$	−23.9188	−	11.5187i	−1.15213	−	0.554836i	−0.242456	−	0.970162i	$-0.577953\pi$
$431$	−23.9188	−	11.5187i	−1.15213	−	0.554836i	−0.909672	+	0.415327i	$0.863667\pi$
$432$	3.10095	+	3.84597i	0.149194	+	0.185039i
$433$	15.0840	−	7.26405i	0.724888	−	0.349088i	−0.0347831	−	0.999395i	$-0.511074\pi$
$433$	15.0840	−	7.26405i	0.724888	−	0.349088i	0.759671	+	0.650307i	$0.225360\pi$
$434$	6.21003	−	20.8543i	0.298091	−	1.00104i
$435$	0.529496	−	1.09951i	0.0253874	−	0.0527175i
$436$	4.46175	+	12.6421i	0.213679	+	0.605447i
$437$	14.6062	+	3.33378i	0.698711	+	0.159476i
$438$	2.16616	−	0.900656i	0.103503	−	0.0430350i
$439$	16.8330	+	21.1080i	0.803397	+	1.00743i	0.999639	+	0.0268724i	$0.00855477\pi$
$439$	16.8330	+	21.1080i	0.803397	+	1.00743i	−0.196242	+	0.980556i	$0.562874\pi$
$440$	7.85240	−	47.3689i	0.374349	−	2.25823i
$441$	−12.5708	−	16.4447i	−0.598611	−	0.783079i
$442$	14.6116	+	0.800917i	0.695002	+	0.0380957i
$443$	14.1818	−	11.3096i	0.673799	−	0.537337i	−0.225734	−	0.974189i	$-0.572478\pi$
$443$	14.1818	−	11.3096i	0.673799	−	0.537337i	0.899533	+	0.436852i	$0.143907\pi$
$444$	3.18518	−	1.12414i	0.151162	−	0.0533493i
$445$	5.05526	+	1.15383i	0.239642	+	0.0546968i
$446$	3.30260	+	7.94303i	0.156382	+	0.376114i
$447$	−2.47608	−	1.19242i	−0.117114	−	0.0563993i
$448$	7.03497	−	19.9627i	0.332371	−	0.943149i
$449$	13.4982	−	6.50037i	0.637018	−	0.306772i	−0.0873581	−	0.996177i	$-0.527842\pi$
$449$	13.4982	−	6.50037i	0.637018	−	0.306772i	0.724376	+	0.689405i	$0.242128\pi$
$450$	11.7398	+	10.4630i	0.553419	+	0.493233i
$451$	−24.7376	+	51.3682i	−1.16485	+	2.41883i
$452$	13.1088	+	20.7388i	0.616585	+	0.975473i
$453$	1.37689	−	0.314266i	0.0646920	−	0.0147655i
$454$	−2.01915	−	2.83766i	−0.0947634	−	0.133178i
$455$	−11.1465	+	2.42406i	−0.522558	+	0.113642i
$456$	1.48808	+	1.65175i	0.0696859	+	0.0773501i
$457$	27.1181	+	13.0594i	1.26853	+	0.610892i	0.942417	−	0.334439i	$-0.108547\pi$
$457$	27.1181	+	13.0594i	1.26853	+	0.610892i	0.326113	+	0.945331i	$0.394261\pi$
$458$	1.96899	+	11.4953i	0.0920047	+	0.537139i
$459$		−	8.77347i		−	0.409511i
$460$	−2.55689	+	23.2534i	−0.119216	+	1.08419i
$461$	28.6918	−	6.54873i	1.33631	−	0.305005i	0.506111	−	0.862468i	$-0.331083\pi$
$461$	28.6918	−	6.54873i	1.33631	−	0.305005i	0.830201	+	0.557464i	$0.188225\pi$
$462$	2.99436	−	3.29112i	0.139310	−	0.153117i
$463$	−5.30758	+	23.2540i	−0.246664	+	1.08071i	0.688150	+	0.725568i	$0.258423\pi$
$463$	−5.30758	+	23.2540i	−0.246664	+	1.08071i	−0.934814	+	0.355138i	$0.884434\pi$
$464$	−7.18519	−	3.41285i	−0.333564	−	0.158438i
$465$	−2.22508	+	2.79016i	−0.103185	+	0.129390i
$466$	−3.97271	−	3.54066i	−0.184032	−	0.164018i
$467$	24.0235	+	5.48320i	1.11167	+	0.253732i	0.738649	−	0.674090i	$-0.235464\pi$
$467$	24.0235	+	5.48320i	1.11167	+	0.253732i	0.373024	+	0.927822i	$0.378321\pi$
$468$	−8.13896	−	2.82347i	−0.376224	−	0.130515i
$469$	13.7791	+	17.6469i	0.636257	+	0.814858i
$470$	−6.61914	−	38.6436i	−0.305318	−	1.78250i
$471$	−3.63953			−0.167701
$472$	−8.73961	−	1.44877i	−0.402273	−	0.0666853i
$473$	12.6173	+	55.2800i	0.580144	+	2.54178i
$474$	−0.829893	−	0.457214i	−0.0381183	−	0.0210005i
$475$	11.1460	+	8.88865i	0.511414	+	0.407839i
$476$	−31.9774	+	19.7562i	−1.46568	+	0.905526i
$477$	17.4167	−	13.8894i	0.797457	−	0.635951i
$478$	13.9860	−	2.39562i	0.639705	−	0.109573i
$479$	3.10786	+	3.89713i	0.142002	+	0.178065i	0.847746	−	0.530402i	$-0.177959\pi$
$479$	3.10786	+	3.89713i	0.142002	+	0.178065i	−0.705745	+	0.708466i	$0.749387\pi$
$480$	−2.29578	+	2.60390i	−0.104788	+	0.118851i
$481$	−7.39801	+	9.27681i	−0.337320	+	0.422986i
$482$	8.06921	+	19.4072i	0.367542	+	0.883972i
$483$	−1.36893	+	1.68091i	−0.0622886	+	0.0764839i
$484$	−37.1421	−	23.1992i	−1.68828	−	1.05451i
$485$	11.6358	+	24.1620i	0.528355	+	1.09714i
$486$	−2.13992	+	7.46545i	−0.0970689	+	0.338640i
$487$	−14.6896	+	7.07414i	−0.665650	+	0.320560i	−0.736019	−	0.676961i	$-0.763297\pi$
$487$	−14.6896	+	7.07414i	−0.665650	+	0.320560i	0.0703691	+	0.997521i	$0.477582\pi$
$488$	−4.56368	−	8.17946i	−0.206588	−	0.370267i
$489$	0.812865			0.0367590
$490$	19.9399	−	21.4692i	0.900791	−	0.969881i
$491$		−	2.31738i		−	0.104582i	−0.998632	−	0.0522910i	$-0.983348\pi$
$491$		−	2.31738i		−	0.104582i	0.998632	−	0.0522910i	$-0.0166523\pi$
$492$	3.48436	−	2.20242i	0.157087	−	0.0992928i
$493$	6.12913	+	12.7273i	0.276042	+	0.573208i
$494$	−7.50748	−	2.15197i	−0.337778	−	0.0968218i
$495$	45.2271	−	21.7802i	2.03280	−	0.978947i
$496$	18.2642	+	14.4056i	0.820087	+	0.646833i
$497$	−4.79447	−	10.2229i	−0.215061	−	0.458559i
$498$	−0.238658	−	0.573994i	−0.0106945	−	0.0257213i
$499$	25.2132	+	20.1069i	1.12870	+	0.900108i	0.995848	−	0.0910283i	$-0.0290154\pi$
$499$	25.2132	+	20.1069i	1.12870	+	0.900108i	0.132851	+	0.991136i	$0.457587\pi$
$500$	3.88713	−	6.22331i	0.173838	−	0.278315i
$501$	−1.89120	+	1.50818i	−0.0844927	+	0.0673807i
$502$	7.02288	+	41.0007i	0.313446	+	1.82995i
$503$	16.5623	+	20.7684i	0.738476	+	0.926019i	0.999224	−	0.0393876i	$-0.0125407\pi$
$503$	16.5623	+	20.7684i	0.738476	+	0.926019i	−0.260748	+	0.965407i	$0.583969\pi$
$504$	21.3012	−	5.99309i	0.948832	−	0.266953i
$505$	1.05870	−	1.32757i	0.0471117	−	0.0590763i
$506$	28.0756	+	15.4677i	1.24811	+	0.687624i
$507$	2.19886	−	0.501875i	0.0976547	−	0.0222891i
$508$	−1.98116	−	0.217844i	−0.0878997	−	0.00966528i
$509$		−	33.1078i		−	1.46748i	−0.679431	−	0.733740i	$-0.737773\pi$
$509$		−	33.1078i		−	1.46748i	0.679431	−	0.733740i	$-0.262227\pi$
$510$	6.07635	−	1.04080i	0.269065	−	0.0460873i
$511$	0.217227	−	21.1668i	0.00960955	−	0.936365i
$512$	17.0527	+	14.8730i	0.753629	+	0.657300i
$513$	−1.04192	+	4.56496i	−0.0460020	+	0.201548i
$514$	−23.7394	−	21.1576i	−1.04710	−	0.933223i
$515$	0.359257	+	0.286498i	0.0158308	+	0.0126246i
$516$	1.34358	−	3.87302i	0.0591479	−	0.170500i
$517$	−52.3748	−	11.9542i	−2.30344	−	0.525745i
$518$	1.98033	−	30.4137i	0.0870107	−	1.33630i
$519$	0.526047	+	2.30476i	0.0230909	+	0.101168i
$520$	1.99431	−	12.0305i	0.0874563	−	0.527573i
$521$	19.8148			0.868101			0.434050	−	0.900889i	$-0.357084\pi$
$521$	19.8148			0.868101			0.434050	+	0.900889i	$0.357084\pi$
$522$	−1.40400	−	8.19678i	−0.0614513	−	0.358763i
$523$	12.8953	−	26.7774i	0.563872	−	1.17089i	−0.402898	−	0.915245i	$-0.631997\pi$
$523$	12.8953	−	26.7774i	0.563872	−	1.17089i	0.966770	−	0.255647i	$-0.0822886\pi$
$524$	−15.2579	−	15.1763i	−0.666545	−	0.662980i
$525$	−1.86763	+	0.875908i	−0.0815101	+	0.0382277i
$526$	19.9781	−	14.2155i	0.871085	−	0.619825i
$527$	−9.19227	−	40.2740i	−0.400421	−	1.75436i
$528$	2.08680	+	4.27448i	0.0908162	+	0.186023i
$529$	6.65167	+	3.20328i	0.289203	+	0.139273i
$530$	23.5412	+	20.9810i	1.02257	+	0.911358i
$531$	−4.01847	−	8.34443i	−0.174387	−	0.362117i
$532$	18.9845	−	6.48186i	0.823083	−	0.281024i
$533$	−6.28273	+	13.0462i	−0.272135	+	0.565095i
$534$	−0.474316	+	0.197214i	−0.0205257	+	0.00853427i
$535$	4.12796	−	18.0858i	0.178467	−	0.781917i
$536$	−22.9727	+	6.71853i	−0.992271	+	0.290196i
$537$	1.71296	+	2.14798i	0.0739197	+	0.0926924i
$538$	−17.9533	−	0.984092i	−0.774024	−	0.0424272i
$539$	−16.6738	−	36.5225i	−0.718189	−	1.57313i
$540$	−7.26748	−	0.799119i	−0.312743	−	0.0343886i
$541$	18.4433	−	14.7080i	0.792938	−	0.632347i	−0.140908	−	0.990023i	$-0.545002\pi$
$541$	18.4433	−	14.7080i	0.792938	−	0.632347i	0.933846	+	0.357676i	$0.116431\pi$
$542$	−4.44569	−	10.6923i	−0.190959	−	0.459273i
$543$	0.289360	−	1.26777i	0.0124176	−	0.0544051i
$544$	−6.99640	−	39.5696i	−0.299968	−	1.69653i
$545$	−17.8753	−	8.60830i	−0.765695	−	0.368739i
$546$	0.760492	−	0.835861i	0.0325460	−	0.0357716i
$547$	2.03976	+	4.23561i	0.0872140	+	0.181102i	0.940014	−	0.341136i	$-0.110812\pi$
$547$	2.03976	+	4.23561i	0.0872140	+	0.181102i	−0.852800	+	0.522238i	$0.825097\pi$
$548$	−1.38481	+	1.39225i	−0.0591560	+	0.0594741i
$549$	4.24871	−	8.82254i	0.181331	−	0.376537i
$550$	17.6840	+	24.8526i	0.754048	+	1.05972i
$551$	−1.67760	−	7.35006i	−0.0714683	−	0.313123i
$552$	−1.12916	−	2.02380i	−0.0480604	−	0.0861385i
$553$	−6.73868	+	5.26170i	−0.286558	+	0.223750i
$554$	2.67900	−	3.00590i	0.113820	−	0.127708i
$555$	−2.16886	+	4.50369i	−0.0920631	+	0.191171i
$556$	25.6668	−	2.96168i	1.08852	−	0.125603i
$557$			42.1935i			1.78779i	0.448272	+	0.893897i	$0.352039\pi$
$557$			42.1935i			1.78779i	−0.448272	+	0.893897i	$0.647961\pi$
$558$	−1.33103	+	24.2827i	−0.0563469	+	1.02797i
$559$	3.20448	+	14.0397i	0.135535	+	0.593817i
$560$	13.4524	+	28.2879i	0.568468	+	1.19538i
$561$	1.87969	−	8.23545i	0.0793604	−	0.347701i
$562$	−10.2633	−	2.94190i	−0.432930	−	0.124097i
$563$	4.04626	+	3.22679i	0.170530	+	0.135993i	0.705036	−	0.709172i	$-0.250931\pi$
$563$	4.04626	+	3.22679i	0.170530	+	0.135993i	−0.534506	+	0.845165i	$0.679502\pi$
$564$	2.75376	+	2.73903i	0.115954	+	0.115334i
$565$	−35.3983	−	8.07943i	−1.48922	−	0.339904i
$566$	−1.66100	+	5.79465i	−0.0698170	+	0.243567i
$567$	17.6735	+	14.3934i	0.742219	+	0.604464i
$568$	12.0491	−	0.725295i	0.505570	−	0.0304327i
$569$	11.6263			0.487399			0.243699	−	0.969851i	$-0.421639\pi$
$569$	11.6263			0.487399			0.243699	+	0.969851i	$0.421639\pi$
$570$	−3.28521	−	0.180075i	−0.137602	−	0.00754251i
$571$	9.36768	−	2.13811i	0.392025	−	0.0894772i	−0.0219645	−	0.999759i	$-0.506992\pi$
$571$	9.36768	−	2.13811i	0.392025	−	0.0894772i	0.413990	+	0.910282i	$0.364135\pi$
$572$	−14.1721	−	8.85202i	−0.592567	−	0.370122i
$573$	−3.18340	−	2.53868i	−0.132988	−	0.106055i
$574$	−5.90290	−	36.7230i	−0.246382	−	1.53279i
$575$	−9.26559	−	11.6187i	−0.386402	−	0.484533i
$576$	−2.45945	+	23.5279i	−0.102477	+	0.980329i
$577$	−20.5869	−	25.8151i	−0.857042	−	1.07470i	−0.996427	−	0.0844585i	$-0.973084\pi$
$577$	−20.5869	−	25.8151i	−0.857042	−	1.07470i	0.139385	−	0.990238i	$-0.455487\pi$
$578$	−22.8335	+	41.4453i	−0.949748	+	1.72390i
$579$	−3.90297	−	3.11251i	−0.162202	−	0.129352i
$580$	11.1009	−	3.91781i	0.460939	−	0.162678i
$581$	−5.60884	−	0.0575614i	−0.232694	−	0.00238805i
$582$	−2.32695	−	1.28199i	−0.0964551	−	0.0531401i
$583$	38.9298	−	18.7476i	1.61231	−	0.776446i
$584$	20.9416	+	8.57576i	0.866569	+	0.354868i
$585$	11.4865	−	5.53162i	0.474909	−	0.228704i
$586$	−16.8095	−	23.6236i	−0.694395	−	0.975883i
$587$		−	5.13473i		−	0.211933i	−0.994370	−	0.105967i	$-0.966206\pi$
$587$		−	5.13473i		−	0.211933i	0.994370	−	0.105967i	$-0.0337937\pi$
$588$	−0.376409	+	2.87817i	−0.0155229	+	0.118694i
$589$			22.0467i			0.908420i
$590$	10.6821	−	7.60088i	0.439774	−	0.312923i
$591$	−2.44170	+	1.17586i	−0.100438	+	0.0483685i
$592$	29.4312	+	13.9793i	1.20961	+	0.574548i
$593$	5.29977	−	2.55223i	0.217635	−	0.104808i	−0.321890	−	0.946777i	$-0.604318\pi$
$593$	5.29977	−	2.55223i	0.217635	−	0.104808i	0.539525	+	0.841969i	$0.318604\pi$
$594$	−4.83420	+	8.77459i	−0.198350	+	0.360026i
$595$	12.9340	−	54.1023i	0.530243	−	2.21798i
$596$	−8.82283	−	24.9990i	−0.361397	−	1.02400i
$597$	2.91821	+	2.32719i	0.119434	+	0.0952456i
$598$	7.13048	+	3.92841i	0.291587	+	0.160644i
$599$	−23.3083	−	29.2277i	−0.952351	−	1.19421i	−0.980879	−	0.194618i	$-0.937653\pi$
$599$	−23.3083	−	29.2277i	−0.952351	−	1.19421i	0.0285280	−	0.999593i	$-0.490918\pi$
$600$	−0.132505	−	2.20127i	−0.00540950	−	0.0898665i
$601$	8.26133	+	10.3594i	0.336987	+	0.422568i	0.921235	−	0.389007i	$-0.127182\pi$
$601$	8.26133	+	10.3594i	0.336987	+	0.422568i	−0.584248	+	0.811575i	$0.698610\pi$
$602$	−27.3606	−	24.8935i	−1.11513	−	1.01458i
$603$	−19.5639	−	15.6017i	−0.796703	−	0.635350i
$604$	11.5547	+	7.21713i	0.470153	+	0.293661i
$605$	63.1831	−	14.4211i	2.56876	−	0.586303i
$606$	−0.00920677	+	0.167964i	−0.000373999	+	0.00682308i
$607$	2.19583			0.0891261			0.0445630	−	0.999007i	$-0.485810\pi$
$607$	2.19583			0.0891261			0.0445630	+	0.999007i	$0.485810\pi$
$608$	−1.05889	+	21.4195i	−0.0429438	+	0.868675i
$609$	1.06098	+	0.253644i	0.0429929	+	0.0102782i
$610$	13.3249	+	3.81949i	0.539508	+	0.154647i
$611$	−13.3019	−	3.03606i	−0.538136	−	0.122826i
$612$	29.6259	−	29.7852i	1.19756	−	1.20400i
$613$	−8.63058	−	6.88266i	−0.348586	−	0.277988i	0.433507	−	0.901150i	$-0.357276\pi$
$613$	−8.63058	−	6.88266i	−0.348586	−	0.277988i	−0.782092	+	0.623163i	$0.785848\pi$
$614$	0.815669	−	2.84559i	0.0329177	−	0.114839i
$615$	−1.35744	+	5.94731i	−0.0547371	+	0.239819i
$616$	42.8672	−	2.13914i	1.72717	−	0.0861882i
$617$	−6.58309	−	28.8424i	−0.265025	−	1.16115i	−0.915722	−	0.401814i	$-0.868380\pi$
$617$	−6.58309	−	28.8424i	−0.265025	−	1.16115i	0.650696	−	0.759338i	$-0.274477\pi$
$618$	−0.0454531	−	0.00249146i	−0.00182839	−	0.000100221i
$619$		−	9.98253i		−	0.401232i	−0.979670	−	0.200616i	$-0.935706\pi$
$619$		−	9.98253i		−	0.401232i	0.979670	−	0.200616i	$-0.0642943\pi$
$620$	−34.1981	+	3.94610i	−1.37343	+	0.158479i
$621$	2.11775	−	4.39756i	0.0849824	−	0.176468i
$622$	32.7096	+	29.1523i	1.31154	+	1.16890i
$623$	−0.0475655	+	4.63483i	−0.00190567	+	0.185691i
$624$	0.529993	+	1.08561i	0.0212167	+	0.0434592i
$625$	6.60024	+	28.9175i	0.264010	+	1.15670i
$626$	−15.0039	+	10.6761i	−0.599678	+	0.426704i
$627$	−1.95605	+	4.06179i	−0.0781172	+	0.162212i
$628$	−24.8915	−	24.7583i	−0.993278	−	0.987965i
$629$	−25.1055	−	52.1321i	−1.00102	−	2.07864i
$630$	−16.0958	+	28.5191i	−0.641270	+	1.13623i
$631$	−16.9998	−	8.18667i	−0.676751	−	0.325906i	0.0637456	−	0.997966i	$-0.479695\pi$
$631$	−16.9998	−	8.18667i	−0.676751	−	0.325906i	−0.740497	+	0.672060i	$0.765410\pi$
$632$	−2.56555	−	8.77242i	−0.102052	−	0.348948i
$633$	1.17682	−	5.15599i	0.0467744	−	0.204932i
$634$	−19.4170	+	8.07329i	−0.771146	+	0.320631i
$635$	2.30609	−	1.83904i	0.0915143	−	0.0729802i
$636$	−3.10522	−	0.341444i	−0.123130	−	0.0135391i
$637$	−4.23471	−	9.27578i	−0.167785	−	0.367520i
$638$	0.882835	−	16.1061i	0.0349518	−	0.637645i
$639$	7.86826	+	9.86648i	0.311263	+	0.390312i
$640$	−33.4146	+	2.19131i	−1.32083	+	0.0866191i
$641$	−0.697556	+	3.05619i	−0.0275518	+	0.120712i	−0.986834	−	0.161738i	$-0.948290\pi$
$641$	−0.697556	+	3.05619i	−0.0275518	+	0.120712i	0.959282	+	0.282450i	$0.0911472\pi$
$642$	0.705555	+	1.69692i	0.0278460	+	0.0669721i
$643$	−5.39879	+	11.2107i	−0.212908	+	0.442107i	−0.979884	−	0.199568i	$-0.936046\pi$
$643$	−5.39879	+	11.2107i	−0.212908	+	0.442107i	0.766976	+	0.641675i	$0.221760\pi$
$644$	−20.7969	+	2.18373i	−0.819514	+	0.0860510i
$645$	2.63228	+	5.46599i	0.103646	+	0.215223i
$646$	25.3395	−	28.4316i	0.996970	−	1.11862i
$647$	17.1750	+	8.27105i	0.675220	+	0.325169i	0.739880	−	0.672739i	$-0.234882\pi$
$647$	17.1750	+	8.27105i	0.675220	+	0.325169i	−0.0646606	+	0.997907i	$0.520596\pi$
$648$	−21.2788	+	11.8724i	−0.835910	+	0.466390i
$649$	−3.99739	−	17.5137i	−0.156911	−	0.687473i
$650$	4.49129	+	6.31193i	0.176163	+	0.247574i
$651$	−2.85980	−	1.41354i	−0.112084	−	0.0554011i
$652$	5.55934	+	5.52960i	0.217721	+	0.216556i
$653$	−8.42756	+	17.5000i	−0.329796	+	0.684829i	−0.998263	−	0.0589132i	$-0.981236\pi$
$653$	−8.42756	+	17.5000i	−0.329796	+	0.684829i	0.668467	+	0.743742i	$0.266951\pi$
$654$	1.93726	−	0.331827i	0.0757528	−	0.0129754i
$655$	31.8480			1.24440
$656$	38.8124	+	8.63994i	1.51537	+	0.337333i
$657$	5.26446	+	23.0651i	0.205386	+	0.899855i
$658$	32.4969	−	13.1222i	1.26686	−	0.511558i
$659$	12.2907	+	2.80527i	0.478778	+	0.109278i	0.455098	−	0.890442i	$-0.349604\pi$
$659$	12.2907	+	2.80527i	0.478778	+	0.109278i	0.0236805	+	0.999720i	$0.492462\pi$
$660$	−6.65060	−	2.30715i	−0.258874	−	0.0898056i
$661$	26.6934	+	21.2873i	1.03825	+	0.827979i	0.985337	−	0.170620i	$-0.0545770\pi$
$661$	26.6934	+	21.2873i	1.03825	+	0.827979i	0.0529160	+	0.998599i	$0.483148\pi$
$662$	3.48647	−	3.91191i	0.135506	−	0.152041i
$663$	0.477393	−	2.09159i	0.0185404	−	0.0812308i
$664$	2.27243	−	5.54916i	0.0881873	−	0.215349i
$665$	−13.1548	+	26.6141i	−0.510122	+	1.03205i
$666$	5.75090	+	33.5747i	0.222843	+	1.30099i
$667$			7.85879i			0.304294i
$668$	−23.1939	−	2.55036i	−0.897399	−	0.0986763i
$669$	1.22954	−	0.280634i	0.0475367	−	0.0108499i
$670$	17.0925	−	31.0247i	0.660341	−	1.19859i
$671$	11.8422	−	14.8496i	0.457162	−	0.573264i
$672$	−2.71055	−	1.51068i	−0.104562	−	0.0582758i
$673$	−11.6104	−	14.5590i	−0.447549	−	0.561209i	0.505966	−	0.862553i	$-0.331136\pi$
$673$	−11.6104	−	14.5590i	−0.447549	−	0.561209i	−0.953515	+	0.301344i	$0.902565\pi$
$674$	26.3233	−	4.50884i	1.01394	−	0.173674i
$675$	3.63124	−	2.89582i	0.139767	−	0.111460i
$676$	18.4525	+	11.5256i	0.709711	+	0.443291i
$677$	26.1082	+	20.8206i	1.00342	+	0.800200i	0.979893	−	0.199523i	$-0.0639392\pi$
$677$	26.1082	+	20.8206i	1.00342	+	0.800200i	0.0235263	+	0.999723i	$0.492511\pi$
$678$	3.32129	−	1.38094i	0.127553	−	0.0530348i
$679$	−18.8947	+	14.7533i	−0.725110	+	0.566181i
$680$	48.6375	+	34.2168i	1.86516	+	1.31216i
$681$	−0.460027	+	0.221537i	−0.0176283	+	0.00848933i
$682$	−12.9976	+	45.3440i	−0.497703	+	1.73631i
$683$	−1.05570	−	2.19219i	−0.0403954	−	0.0838820i	0.879794	−	0.475354i	$-0.157680\pi$
$683$	−1.05570	−	2.19219i	−0.0403954	−	0.0838820i	−0.920190	+	0.391472i	$0.871966\pi$
$684$	−18.9520	+	11.9793i	−0.724648	+	0.458042i
$685$		−	2.90607i		−	0.111035i
$686$	22.5406	+	13.3388i	0.860603	+	0.509277i
$687$	1.70984			0.0652344
$688$	35.5357	−	17.3485i	1.35478	−	0.661404i
$689$	9.88717	−	4.76141i	0.376671	−	0.181395i
$690$	3.29690	+	0.945034i	0.125511	+	0.0359768i
$691$	−15.0337	−	31.2178i	−0.571910	−	1.18758i	−0.963566	−	0.267471i	$-0.913812\pi$
$691$	−15.0337	−	31.2178i	−0.571910	−	1.18758i	0.391656	−	0.920112i	$-0.371902\pi$
$692$	−12.0807	+	19.3412i	−0.459238	+	0.735242i
$693$	27.6156	+	35.3675i	1.04903	+	1.34350i
$694$	−15.4398	+	6.41963i	−0.586086	+	0.243686i
$695$	−23.8401	+	29.8945i	−0.904305	+	1.13396i
$696$	−0.671012	+	0.953809i	−0.0254346	+	0.0361540i
$697$	−44.0265	−	55.2074i	−1.66762	−	2.09113i
$698$	−1.41667	−	8.27077i	−0.0536219	−	0.313053i
$699$	−0.609967	+	0.486432i	−0.0230711	+	0.0183986i
$700$	−18.7315	−	6.71426i	−0.707986	−	0.253775i
$701$	27.5753	+	21.9905i	1.04150	+	0.830571i	0.985808	−	0.167877i	$-0.0536910\pi$
$701$	27.5753	+	21.9905i	1.04150	+	0.830571i	0.0556953	+	0.998448i	$0.482262\pi$
$702$	−1.22776	+	2.22852i	−0.0463389	+	0.0841102i
$703$	6.87161	+	30.1065i	0.259168	+	1.13549i
$704$	−14.8056	+	43.4297i	−0.558008	+	1.63682i
$705$	−5.74796			−0.216481
$706$	−0.0461544	+	0.00790563i	−0.00173704	+	0.000297532i
$707$	1.36071	+	0.672572i	0.0511748	+	0.0252947i
$708$	−0.425671	+	1.22704i	−0.0159977	+	0.0461151i
$709$	−18.9333	−	4.32141i	−0.711056	−	0.162294i	−0.148331	−	0.988938i	$-0.547390\pi$
$709$	−18.9333	−	4.32141i	−0.711056	−	0.162294i	−0.562725	+	0.826644i	$0.690247\pi$
$710$	−11.8856	+	13.3360i	−0.446060	+	0.500490i
$711$	5.95769	−	7.47071i	0.223431	−	0.280174i
$712$	−4.58551	−	1.87781i	−0.171849	−	0.0703737i
$713$	5.11391	−	22.4055i	0.191517	−	0.839092i
$714$	2.06335	+	5.10984i	0.0772189	+	0.191231i
$715$	24.1085	−	5.50260i	0.901606	−	0.205786i
$716$	−2.89664	+	26.3431i	−0.108252	+	0.984488i
$717$		−	2.08032i		−	0.0776909i
$718$	−12.7944	+	2.19151i	−0.477482	+	0.0817862i
$719$	2.85943	+	1.37703i	0.106639	+	0.0513546i	0.486443	−	0.873712i	$-0.338294\pi$
$719$	2.85943	+	1.37703i	0.106639	+	0.0513546i	−0.379804	+	0.925067i	$0.624009\pi$
$720$	−21.9741	−	27.2535i	−0.818926	−	1.01568i
$721$	−0.182006	+	0.368224i	−0.00677826	+	0.0137134i
$722$	5.33233	−	3.79425i	0.198449	−	0.141207i
$723$	3.00412	−	0.685671i	0.111724	−	0.0255004i
$724$	10.6031	−	6.70210i	0.394062	−	0.249082i
$725$	−3.24467	+	6.73762i	−0.120504	+	0.250229i
$726$	−4.27168	+	4.79294i	−0.158537	+	0.177883i
$727$	−1.25471	+	0.604239i	−0.0465348	+	0.0224100i	−0.457006	−	0.889463i	$-0.651078\pi$
$727$	−1.25471	+	0.604239i	−0.0465348	+	0.0224100i	0.410472	+	0.911873i	$0.365364\pi$
$728$	10.8872	−	0.543286i	0.403506	−	0.0201355i
$729$	−22.2596	−	10.7197i	−0.824430	−	0.397025i
$730$	−30.9230	+	12.8573i	−1.14451	+	0.475872i
$731$	−68.4649	−	15.6267i	−2.53227	−	0.577973i
$732$	−1.29492	+	0.457012i	−0.0478615	+	0.0168916i
$733$	−15.5834	+	12.4273i	−0.575586	+	0.459015i	−0.867505	−	0.497429i	$-0.834278\pi$
$733$	−15.5834	+	12.4273i	−0.575586	+	0.459015i	0.291919	+	0.956443i	$0.405706\pi$
$734$	1.16436	−	21.2420i	0.0429772	−	0.784056i
$735$	−2.60883	−	3.41277i	−0.0962281	−	0.125882i
$736$	6.04453	−	21.5224i	0.222805	−	0.793326i
$737$	−30.2615	−	37.9467i	−1.11470	−	1.39778i
$738$	15.9597	+	38.3844i	0.587484	+	1.41295i
$739$	7.02228	+	1.60279i	0.258319	+	0.0589596i	0.349719	−	0.936855i	$-0.386277\pi$
$739$	7.02228	+	1.60279i	0.258319	+	0.0589596i	−0.0914002	+	0.995814i	$0.529134\pi$
$740$	−45.4702	+	16.0477i	−1.67152	+	0.589925i
$741$	−0.496788	+	1.03159i	−0.0182500	+	0.0378964i
$742$	−13.8546	+	24.5482i	−0.508619	+	0.901192i
$743$	8.88084	−	4.27679i	0.325807	−	0.156900i	−0.263829	−	0.964569i	$-0.584986\pi$
$743$	8.88084	−	4.27679i	0.325807	−	0.156900i	0.589636	+	0.807669i	$0.299271\pi$
$744$	2.53373	−	2.28267i	0.0928909	−	0.0836869i
$745$	35.3473	+	17.0224i	1.29503	+	0.623651i
$746$	−24.0160	−	33.7514i	−0.879287	−	1.23573i
$747$	6.11185	−	1.39499i	0.223621	−	0.0510400i
$748$	68.8781	−	43.5370i	2.51843	−	1.59187i
$749$	16.5816	+	0.170171i	0.605880	+	0.00621791i
$750$	−0.803076	−	0.715738i	−0.0293242	−	0.0261351i
$751$	−27.8952	−	13.4336i	−1.01791	−	0.490200i	−0.150932	−	0.988544i	$-0.548227\pi$
$751$	−27.8952	−	13.4336i	−1.01791	−	0.490200i	−0.866979	+	0.498344i	$0.833942\pi$
$752$	0.200938	+	37.4655i	0.00732747	+	1.36623i
$753$	6.09856			0.222244
$754$	0.224218	−	4.09053i	0.00816553	−	0.148968i
$755$	−19.6559	+	4.48632i	−0.715350	+	0.163274i
$756$	−0.682492	−	6.49977i	−0.0248220	−	0.236394i
$757$	−48.0094	−	10.9578i	−1.74493	−	0.398269i	−0.773163	−	0.634208i	$-0.781326\pi$
$757$	−48.0094	−	10.9578i	−1.74493	−	0.398269i	−0.971768	+	0.235939i	$0.924184\pi$
$758$	5.62751	−	19.6324i	0.204400	−	0.713082i
$759$	2.93004	−	3.67416i	0.106354	−	0.133363i
$760$	−21.2432	−	23.5796i	−0.770572	−	0.855321i
$761$	5.41138	−	23.7088i	0.196162	−	0.859444i	−0.777032	−	0.629461i	$-0.783276\pi$
$761$	5.41138	−	23.7088i	0.196162	−	0.859444i	0.973195	−	0.229983i	$-0.0738671\pi$
$762$	−0.0805157	+	0.280892i	−0.00291678	+	0.0101756i
$763$	4.12362	−	17.2489i	0.149285	−	0.624451i
$764$	−4.50226	−	39.0180i	−0.162886	−	1.41162i
$765$			62.1711i			2.24780i
$766$	−1.81767	+	33.1609i	−0.0656752	+	1.19815i
$767$	−1.01524	−	4.44804i	−0.0366580	−	0.160609i
$768$	2.57127	−	2.09604i	0.0927829	−	0.0756342i
$769$	−2.37339	+	2.97614i	−0.0855866	+	0.107322i	−0.822781	−	0.568358i	$-0.807579\pi$
$769$	−2.37339	+	2.97614i	−0.0855866	+	0.107322i	0.737194	+	0.675681i	$0.236150\pi$
$770$	−42.7461	+	46.9825i	−1.54046	+	1.69313i
$771$	−3.64493	+	2.90673i	−0.131269	+	0.104683i
$772$	−5.51994	−	47.8375i	−0.198667	−	1.72171i
$773$	−24.6037	+	19.6208i	−0.884934	+	0.705711i	−0.956502	−	0.291725i	$-0.905771\pi$
$773$	−24.6037	+	19.6208i	−0.884934	+	0.705711i	0.0715688	+	0.997436i	$0.477199\pi$
$774$	36.2103	+	19.9494i	1.30155	+	0.717067i
$775$	13.6349	−	17.0976i	0.489780	−	0.614165i
$776$	−7.19358	−	24.5971i	−0.258234	−	0.882984i
$777$	−4.34586	−	1.03895i	−0.155907	−	0.0372720i
$778$	−10.0115	−	5.51566i	−0.358931	−	0.197746i
$779$	16.3512	+	33.9537i	0.585844	+	1.21652i
$780$	−1.68908	−	0.585957i	−0.0604789	−	0.0209806i
$781$	10.6204	+	22.0535i	0.380028	+	0.789136i
$782$	−32.3468	+	23.0165i	−1.15672	+	0.823069i
$783$	−2.45615			−0.0877755
$784$	−22.1534	+	17.1238i	−0.791194	+	0.611565i
$785$	51.9562			1.85440
$786$	−2.57068	+	1.82918i	−0.0916930	+	0.0652447i
$787$	−3.31282	−	6.87914i	−0.118089	−	0.245215i	0.833543	−	0.552455i	$-0.186309\pi$
$787$	−3.31282	−	6.87914i	−0.118089	−	0.245215i	−0.951632	+	0.307240i	$0.900595\pi$
$788$	−24.6982	−	8.56801i	−0.879838	−	0.305223i
$789$	−1.55970	−	3.23875i	−0.0555267	−	0.115302i
$790$	11.8472	+	6.52698i	0.421503	+	0.232219i
$791$	0.333066	−	32.4543i	0.0118425	−	1.15394i
$792$	−46.0414	+	13.4651i	−1.63601	+	0.478462i
$793$	3.00761	−	3.77143i	0.106804	−	0.133927i
$794$	−24.4461	−	13.4681i	−0.867561	−	0.477966i
$795$	3.61450	−	2.88247i	0.128193	−	0.102231i
$796$	4.12720	+	35.7675i	0.146285	+	1.26775i
$797$	−16.6814	+	13.3030i	−0.590886	+	0.471216i	−0.872702	−	0.488253i	$-0.837634\pi$
$797$	−16.6814	+	13.3030i	−0.590886	+	0.471216i	0.281817	+	0.959468i	$0.409063\pi$
$798$	−0.466754	−	2.90376i	−0.0165229	−	0.102792i
$799$	41.4839	−	52.0191i	1.46759	−	1.84030i
$800$	14.0682	−	15.9563i	0.497385	−	0.564140i
$801$	−1.15274	−	5.05049i	−0.0407301	−	0.178450i
$802$	1.40356	−	25.6060i	0.0495615	−	0.904178i
$803$			45.8882i			1.61936i
$804$	0.402239	+	3.48593i	0.0141859	+	0.122939i
$805$	19.5422	−	23.9958i	0.688773	−	0.845742i
$806$	−3.30105	+	11.5162i	−0.116275	+	0.405642i
$807$	−0.586576	+	2.56996i	−0.0206484	+	0.0904668i
$808$	−1.20556	+	1.08611i	−0.0424115	+	0.0382092i
$809$	−13.2203	+	16.5777i	−0.464800	+	0.582841i	−0.957889	−	0.287138i	$-0.907296\pi$
$809$	−13.2203	+	16.5777i	−0.464800	+	0.582841i	0.493089	+	0.869979i	$0.335868\pi$
$810$	9.93636	−	34.6645i	0.349128	−	1.21799i
$811$	−22.7705	−	5.19723i	−0.799582	−	0.182499i	−0.196840	−	0.980436i	$-0.563068\pi$
$811$	−22.7705	−	5.19723i	−0.799582	−	0.182499i	−0.602742	+	0.797936i	$0.705925\pi$
$812$	5.53079	+	8.95213i	0.194093	+	0.314158i
$813$	−1.65511	+	0.377767i	−0.0580471	+	0.0132489i
$814$	−3.61617	+	65.9719i	−0.126747	+	2.31231i
$815$	−11.6041			−0.406473
$816$	−5.89110	+	0.0315957i	−0.206230	+	0.00110607i
$817$	33.7674	+	16.2615i	1.18137	+	0.568919i
$818$	−6.52784	−	5.81791i	−0.228241	−	0.203419i
$819$	7.01367	+	8.98244i	0.245078	+	0.313872i
$820$	−49.7410	+	31.4407i	−1.73703	+	1.09796i
$821$	16.9840	−	3.87648i	0.592745	−	0.135290i	0.0843826	−	0.996433i	$-0.473108\pi$
$821$	16.9840	−	3.87648i	0.592745	−	0.135290i	0.508362	+	0.861143i	$0.330251\pi$
$822$	0.166909	+	0.234569i	0.00582162	+	0.00818154i
$823$	−17.4362	−	8.39681i	−0.607786	−	0.292694i	0.104564	−	0.994518i	$-0.466655\pi$
$823$	−17.4362	−	8.39681i	−0.607786	−	0.292694i	−0.712351	+	0.701824i	$0.752369\pi$
$824$	−0.293914	−	0.326239i	−0.0102390	−	0.0113651i
$825$	4.02898	−	1.94026i	0.140271	−	0.0675510i
$826$	8.66831	+	7.88669i	0.301609	+	0.274413i
$827$	7.61728	−	15.8175i	0.264879	−	0.550027i	−0.725531	−	0.688190i	$-0.758406\pi$
$827$	7.61728	−	15.8175i	0.264879	−	0.550027i	0.990409	+	0.138163i	$0.0441199\pi$
$828$	22.0391	−	7.77821i	0.765912	−	0.270312i
$829$	−12.0443	−	2.74903i	−0.418315	−	0.0954777i	0.00818217	−	0.999967i	$-0.497396\pi$
$829$	−12.0443	−	2.74903i	−0.418315	−	0.0954777i	−0.426497	+	0.904489i	$0.640253\pi$
$830$	3.40697	+	8.19407i	0.118258	+	0.284420i
$831$	−0.368053	−	0.461524i	−0.0127676	−	0.0160101i
$832$	−3.76026	+	11.0300i	−0.130363	+	0.382398i
$833$	49.7139	+	1.02050i	1.72249	+	0.0353581i
$834$	0.207319	−	3.78224i	0.00717888	−	0.130968i
$835$	26.9979	−	21.5301i	0.934302	−	0.745081i
$836$	−41.0086	+	14.4731i	−1.41831	+	0.500562i
$837$	7.00249	+	1.59827i	0.242042	+	0.0552444i
$838$	−11.4187	+	4.74771i	−0.394451	+	0.164007i
$839$	−23.1970	−	11.1711i	−0.800851	−	0.385669i	−0.0117483	−	0.999931i	$-0.503740\pi$
$839$	−23.1970	−	11.1711i	−0.800851	−	0.385669i	−0.789102	+	0.614262i	$0.789454\pi$
$840$	4.42066	−	1.24375i	0.152527	−	0.0429134i
$841$	−22.5651	+	10.8668i	−0.778106	+	0.374716i
$842$	−15.2946	+	17.1609i	−0.527086	+	0.591403i
$843$	−0.679145	+	1.41026i	−0.0233910	+	0.0485719i
$844$	43.1227	−	27.2574i	1.48434	−	0.938237i
$845$	−31.3899	+	7.16453i	−1.07984	+	0.246467i
$846$	−31.9146	+	22.7090i	−1.09725	+	0.780751i
$847$	24.5985	+	52.4496i	0.845216	+	1.80219i
$848$	−18.9145	−	23.4588i	−0.649526	−	0.805578i
$849$	0.796233	+	0.383445i	0.0273266	+	0.0131598i
$850$	−37.2349	+	6.37783i	−1.27714	+	0.218758i
$851$		−	32.1903i		−	1.10347i
$852$	0.193426	−	1.75909i	0.00662667	−	0.0602654i
$853$	37.6083	−	8.58384i	1.28768	−	0.293905i	0.476747	−	0.879040i	$-0.341816\pi$
$853$	37.6083	−	8.58384i	1.28768	−	0.293905i	0.810936	+	0.585135i	$0.198959\pi$
$854$	−0.805090	+	12.3645i	−0.0275496	+	0.423104i
$855$	7.38332	−	32.3485i	0.252504	−	1.10629i
$856$	−6.71807	+	16.4052i	−0.229619	+	0.560718i
$857$	−31.5581	+	39.5727i	−1.07801	+	1.35178i	−0.146020	+	0.989282i	$0.546646\pi$
$857$	−31.5581	+	39.5727i	−1.07801	+	1.35178i	−0.931986	+	0.362495i	$0.881925\pi$
$858$	−1.62993	+	1.82882i	−0.0556447	+	0.0624348i
$859$	−17.8964	−	4.08473i	−0.610616	−	0.139369i	−0.0939800	−	0.995574i	$-0.529959\pi$
$859$	−17.8964	−	4.08473i	−0.610616	−	0.139369i	−0.516636	+	0.856205i	$0.672816\pi$
$860$	−19.1803	+	55.2894i	−0.654044	+	1.88535i
$861$	−5.45269	−	0.0559588i	−0.185827	−	0.00190707i
$862$	−37.0054	+	6.33854i	−1.26041	+	0.215891i
$863$	27.3973			0.932616			0.466308	−	0.884623i	$-0.345584\pi$
$863$	27.3973			0.932616			0.466308	+	0.884623i	$0.345584\pi$
$864$	6.72650	+	1.88913i	0.228840	+	0.0642694i
$865$	−7.50959	−	32.9017i	−0.255334	−	1.11869i
$866$	11.4250	−	20.7377i	0.388239	−	0.704696i
$867$	5.42381	+	4.32534i	0.184202	+	0.146896i
$868$	−9.94296	−	29.1216i	−0.337486	−	0.988452i
$869$	14.4904	−	11.5557i	0.491553	−	0.392001i
$870$	−0.291373	−	1.70108i	−0.00987846	−	0.0576721i
$871$	−7.68564	−	9.63749i	−0.260418	−	0.326554i
$872$	15.5066	+	10.9090i	0.525119	+	0.369425i
$873$	16.7048	−	20.9472i	0.565373	−	0.708956i
$874$	19.5639	−	8.13436i	0.661757	−	0.275149i
$875$	−8.78814	+	4.12159i	−0.297093	+	0.139335i
$876$	1.75756	−	2.81386i	0.0593824	−	0.0950716i
$877$	−20.7525	−	43.0930i	−0.700762	−	1.45515i	−0.881776	−	0.471668i	$-0.843652\pi$
$877$	−20.7525	−	43.0930i	−0.700762	−	1.45515i	0.181014	−	0.983481i	$-0.442062\pi$
$878$	36.7030	+	10.5207i	1.23867	+	0.355056i
$879$	−3.82975	+	1.84431i	−0.129174	+	0.0622070i
$880$	−29.7901	−	61.0205i	−1.00423	−	2.05700i
$881$	−17.2761			−0.582046			−0.291023	−	0.956716i	$-0.593996\pi$
$881$	−17.2761			−0.582046			−0.291023	+	0.956716i	$0.593996\pi$
$882$	−27.9682	−	8.64188i	−0.941740	−	0.290987i
$883$		−	14.6814i		−	0.494068i	−0.969007	−	0.247034i	$-0.920544\pi$
$883$		−	14.6814i		−	0.494068i	0.969007	−	0.247034i	$-0.0794560\pi$
$884$	17.4933	−	11.0573i	0.588363	−	0.371897i
$885$	−0.833955	−	1.73172i	−0.0280331	−	0.0582113i
$886$	7.06854	−	24.6597i	0.237472	−	0.828459i
$887$	−42.7918	+	20.6074i	−1.43681	+	0.691930i	−0.980250	−	0.197764i	$-0.936632\pi$
$887$	−42.7918	+	20.6074i	−1.43681	+	0.691930i	−0.456557	+	0.889694i	$0.650918\pi$
$888$	2.74852	−	3.90689i	0.0922344	−	0.131107i
$889$	2.04442	+	1.66497i	0.0685675	+	0.0558415i
$890$	6.77111	−	2.81533i	0.226968	−	0.0943700i
$891$	−38.6312	−	30.8073i	−1.29419	−	1.03208i
$892$	10.3181	+	6.44476i	0.345475	+	0.215786i
$893$	−27.7623	+	22.1397i	−0.929030	+	0.740877i
$894$	−3.83081	+	0.656166i	−0.128121	+	0.0219455i
$895$	−24.4534	−	30.6636i	−0.817388	−	1.02497i
$896$	−8.26137	−	28.7706i	−0.275993	−	0.961160i
$897$	0.744157	−	0.933143i	0.0248467	−	0.0311567i
$898$	10.2239	−	18.5575i	0.341177	−	0.619273i
$899$	−11.2748	+	2.57339i	−0.376034	+	0.0858273i
$900$	22.1063	+	2.43076i	0.736876	+	0.0810255i
$901$			53.5145i			1.78283i
$902$	13.6127	+	79.4731i	0.453253	+	2.64617i
$903$	−4.27440	+	3.33754i	−0.142243	+	0.111066i
$904$	32.1090	+	13.1489i	1.06793	+	0.437326i
$905$	−4.13076	+	18.0980i	−0.137311	+	0.601599i
$906$	1.32889	−	1.49105i	0.0441495	−	0.0495368i
$907$	−18.1748	−	14.4939i	−0.603485	−	0.481263i	0.273441	−	0.961889i	$-0.411838\pi$
$907$	−18.1748	−	14.4939i	−0.603485	−	0.481263i	−0.876926	+	0.480626i	$0.840410\pi$
$908$	−4.65325	−	1.61425i	−0.154423	−	0.0535707i
$909$	−1.65389	−	0.377490i	−0.0548562	−	0.0125206i
$910$	−10.8564	+	11.9324i	−0.359887	+	0.395554i
$911$	−9.23520	−	40.4621i	−0.305976	−	1.34057i	−0.860945	−	0.508697i	$-0.830127\pi$
$911$	−9.23520	−	40.4621i	−0.305976	−	1.34057i	0.554969	−	0.831871i	$-0.312730\pi$
$912$	3.06897	+	0.683177i	0.101624	+	0.0226223i
$913$	12.1596			0.402423
$914$	41.9551	−	7.18635i	1.38775	−	0.237703i
$915$	0.881738	−	1.83095i	0.0291494	−	0.0605293i
$916$	11.6939	+	11.6314i	0.386378	+	0.384311i
$917$	6.04972	+	27.8185i	0.199779	+	0.918647i
$918$	−7.19346	−	10.1095i	−0.237420	−	0.333663i
$919$	7.24902	+	31.7600i	0.239123	+	1.04767i	0.941804	+	0.336162i	$0.109129\pi$
$919$	7.24902	+	31.7600i	0.239123	+	1.04767i	−0.702681	+	0.711505i	$0.748014\pi$
$920$	16.1194	+	28.8908i	0.531441	+	0.952501i
$921$	−0.391007	−	0.188299i	−0.0128841	−	0.00620467i
$922$	27.6916	−	31.0707i	0.911976	−	1.02326i
$923$	2.69731	+	5.60103i	0.0887832	+	0.184360i
$924$	0.751915	−	6.24740i	0.0247362	−	0.205524i
$925$	13.2904	−	27.5979i	0.436987	−	0.907413i
$926$	12.9504	+	31.1469i	0.425577	+	1.02355i
$927$	0.102153	−	0.447563i	0.00335515	−	0.0146999i
$928$	−11.0776	+	1.95865i	−0.363639	+	0.0642959i
$929$	28.6605	+	35.9392i	0.940321	+	1.17913i	0.983655	+	0.180065i	$0.0576307\pi$
$929$	28.6605	+	35.9392i	0.940321	+	1.17913i	−0.0433336	+	0.999061i	$0.513798\pi$
$930$	−0.276229	+	5.03940i	−0.00905791	+	0.165249i
$931$	−25.7456	−	6.43491i	−0.843779	−	0.210896i
$932$	−7.48070	−	0.822563i	−0.245038	−	0.0269439i
$933$	5.02222	−	4.00508i	0.164420	−	0.131121i
$934$	32.1775	−	13.3789i	1.05288	−	0.437771i
$935$	−26.8335	+	117.565i	−0.877550	+	3.84480i
$936$	−11.6934	+	3.41980i	−0.382209	+	0.111780i
$937$	−15.6962	−	7.55887i	−0.512771	−	0.246937i	0.159560	−	0.987188i	$-0.448992\pi$
$937$	−15.6962	−	7.55887i	−0.512771	−	0.246937i	−0.672331	+	0.740251i	$0.734707\pi$
$938$	30.3462	+	9.03655i	0.990838	+	0.295054i
$939$	1.17137	+	2.43237i	0.0382261	+	0.0793772i
$940$	−39.3114	−	39.1011i	−1.28220	−	1.27534i
$941$	9.46534	−	19.6550i	0.308561	−	0.640734i	−0.687806	−	0.725895i	$-0.741426\pi$
$941$	9.46534	−	19.6550i	0.308561	−	0.640734i	0.996367	+	0.0851605i	$0.0271403\pi$
$942$	−4.19376	+	2.98409i	−0.136640	+	0.0972269i
$943$	−8.74149	−	38.2990i	−0.284662	−	1.24719i
$944$	−11.2583	+	5.49631i	−0.366428	+	0.178890i
$945$	7.49953	+	6.10763i	0.243960	+	0.198681i
$946$	59.8633	+	53.3530i	1.94632	+	1.73465i
$947$	−0.203721	+	0.423032i	−0.00662006	+	0.0137467i	−0.904253	−	0.426998i	$-0.859571\pi$
$947$	−0.203721	+	0.423032i	−0.00662006	+	0.0137467i	0.897633	+	0.440744i	$0.145286\pi$
$948$	−1.33114	+	0.153600i	−0.0432335	+	0.00498869i
$949$			11.6544i			0.378319i
$950$	20.1312	+	1.10347i	0.653143	+	0.0358013i
$951$	0.686017	+	3.00564i	0.0222456	+	0.0974645i
$952$	−20.6486	+	48.9834i	−0.669225	+	1.58756i
$953$	−8.86591	+	38.8441i	−0.287195	+	1.25828i	0.601161	+	0.799128i	$0.294705\pi$
$953$	−8.86591	+	38.8441i	−0.287195	+	1.25828i	−0.888356	+	0.459155i	$0.848152\pi$
$954$	8.68088	−	30.2846i	0.281054	−	0.980500i
$955$	45.4447	+	36.2410i	1.47056	+	1.17273i
$956$	14.1516	−	14.2277i	0.457695	−	0.460157i
$957$	−2.30552	−	0.526221i	−0.0745270	−	0.0170103i
$958$	6.77643	+	1.94242i	0.218936	+	0.0627567i
$959$	2.53838	−	0.552025i	0.0819686	−	0.0178258i
$960$	−0.510410	+	4.88276i	−0.0164734	+	0.157590i
$961$	2.81898			0.0909348
$962$	−0.918416	+	16.7552i	−0.0296109	+	0.540209i
$963$	−18.0687	+	4.12406i	−0.582256	+	0.132896i
$964$	25.2101	+	15.7464i	0.811963	+	0.507158i
$965$	55.7170	+	44.4328i	1.79359	+	1.43034i
$966$	−0.199199	+	3.05927i	−0.00640912	+	0.0984305i
$967$	3.23333	+	4.05446i	0.103977	+	0.130383i	0.831097	−	0.556127i	$-0.187713\pi$
$967$	3.23333	+	4.05446i	0.103977	+	0.130383i	−0.727120	+	0.686510i	$0.759142\pi$
$968$	−61.8194	+	3.72121i	−1.98695	+	0.119604i
$969$	−3.48126	−	4.36536i	−0.111834	−	0.140236i
$970$	33.2184	+	18.3011i	1.06658	+	0.587612i
$971$	−17.0400	−	13.5890i	−0.546840	−	0.436090i	0.310700	−	0.950508i	$-0.399437\pi$
$971$	−17.0400	−	13.5890i	−0.546840	−	0.436090i	−0.857540	+	0.514418i	$0.828008\pi$
$972$	3.65521	+	10.3568i	0.117241	+	0.332195i
$973$	−30.6407	−	15.1451i	−0.982295	−	0.485529i
$974$	−11.1264	+	20.1956i	−0.356512	+	0.647107i
$975$	1.02326	−	0.492776i	0.0327705	−	0.0157814i
$976$	−11.9651	−	5.68322i	−0.382992	−	0.181915i
$977$	12.9617	−	6.24202i	0.414681	−	0.199700i	−0.214898	−	0.976637i	$-0.568942\pi$
$977$	12.9617	−	6.24202i	0.414681	−	0.199700i	0.629579	+	0.776937i	$0.283228\pi$
$978$	0.936647	−	0.666476i	0.0299507	−	0.0213116i
$979$		−	10.0480i		−	0.321135i
$980$	5.37344	−	41.0875i	0.171648	−	1.31249i
$981$			19.8214i			0.632847i
$982$	−1.90005	−	2.67027i	−0.0606329	−	0.0852118i
$983$	37.9011	−	18.2522i	1.20886	−	0.582154i	0.282669	−	0.959218i	$-0.408780\pi$
$983$	37.9011	−	18.2522i	1.20886	−	0.582154i	0.926188	+	0.377063i	$0.123066\pi$
$984$	2.20916	−	5.39466i	0.0704255	−	0.171976i
$985$	34.8566	−	16.7861i	1.11062	−	0.534848i
$986$	17.4977	+	9.64003i	0.557240	+	0.307001i
$987$	−1.09186	−	5.02070i	−0.0347543	−	0.159811i
$988$	−10.4151	+	3.67579i	−0.331350	+	0.116943i
$989$	−30.5449	−	24.3588i	−0.971272	−	0.774563i
$990$	34.2564	−	62.1790i	1.08874	−	1.97618i
$991$	1.03942	+	1.30339i	0.0330183	+	0.0414036i	0.798066	−	0.602569i	$-0.205856\pi$
$991$	1.03942	+	1.30339i	0.0330183	+	0.0414036i	−0.765048	+	0.643973i	$0.777285\pi$
$992$	32.8568	+	1.62431i	1.04320	+	0.0515719i
$993$	−0.478988	−	0.600632i	−0.0152002	−	0.0190605i
$994$	−13.9064	−	7.84857i	−0.441085	−	0.248942i
$995$	−41.6589	−	33.2219i	−1.32068	−	1.05321i
$996$	−0.745624	−	0.465723i	−0.0236260	−	0.0147570i
$997$	−53.4179	+	12.1923i	−1.69176	+	0.386134i	−0.956519	−	0.291669i	$-0.905789\pi$
$997$	−53.4179	+	12.1923i	−1.69176	+	0.386134i	−0.735243	+	0.677803i	$0.762932\pi$
$998$	45.5385	+	2.49614i	1.44150	+	0.0790140i
$999$	10.0606			0.318303

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	392.2.x.a.253.45	yes	324
8.5	even	2	inner	392.2.x.a.253.14	yes	324
49.43	even	7	inner	392.2.x.a.141.14	✓	324
392.141	even	14	inner	392.2.x.a.141.45	yes	324

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
392.2.x.a.141.14	✓	324	49.43	even	7	inner
392.2.x.a.141.45	yes	324	392.141	even	14	inner
392.2.x.a.253.14	yes	324	8.5	even	2	inner
392.2.x.a.253.45	yes	324	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 392 = 2^{3} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	392.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.15228 - 0.819911i) q^{2} +(-0.0899590 - 0.186802i) q^{3} +(0.655493 - 1.88953i) q^{4} +(1.28421 + 2.66670i) q^{5} +(-0.256819 - 0.141490i) q^{6} +(-2.08535 + 1.62828i) q^{7} +(-0.793935 - 2.71471i) q^{8} +(1.84367 - 2.31189i) q^{9} +O(q^{10})\)	\(q+(1.15228 - 0.819911i) q^{2} +(-0.0899590 - 0.186802i) q^{3} +(0.655493 - 1.88953i) q^{4} +(1.28421 + 2.66670i) q^{5} +(-0.256819 - 0.141490i) q^{6} +(-2.08535 + 1.62828i) q^{7} +(-0.793935 - 2.71471i) q^{8} +(1.84367 - 2.31189i) q^{9} +(3.66622 + 2.01984i) q^{10} +(4.48420 - 3.57603i) q^{11} +(-0.411936 + 0.0475330i) q^{12} +(1.13887 - 0.908221i) q^{13} +(-1.06786 + 3.58604i) q^{14} +(0.382617 - 0.479787i) q^{15} +(-3.14066 - 2.47715i) q^{16} +(1.58067 + 6.92539i) q^{17} +(0.228880 - 4.17558i) q^{18} -3.79109i q^{19} +(5.88060 - 0.678559i) q^{20} +(0.491763 + 0.243069i) q^{21} +(2.23502 - 7.79722i) q^{22} +(-0.879372 + 3.85278i) q^{23} +(-0.435692 + 0.392522i) q^{24} +(-2.34462 + 2.94006i) q^{25} +(0.567639 - 1.98030i) q^{26} +(-1.20413 - 0.274834i) q^{27} +(1.70976 + 5.00767i) q^{28} +(1.93877 - 0.442512i) q^{29} +(0.0474995 - 0.866560i) q^{30} -5.81541 q^{31} +(-5.64995 - 0.279311i) q^{32} +(-1.07140 - 0.515961i) q^{33} +(7.49958 + 6.68397i) q^{34} +(-7.02018 - 3.46993i) q^{35} +(-3.15987 - 4.99909i) q^{36} +(-7.94138 + 1.81257i) q^{37} +(-3.10835 - 4.36839i) q^{38} +(-0.272109 - 0.131041i) q^{39} +(6.21973 - 5.60345i) q^{40} +(-8.95618 + 4.31307i) q^{41} +(0.765942 - 0.123119i) q^{42} +(-4.28941 + 8.90705i) q^{43} +(-3.81765 - 10.8171i) q^{44} +(8.53276 + 1.94755i) q^{45} +(2.14565 + 5.16048i) q^{46} +(-5.83993 - 7.32304i) q^{47} +(-0.180206 + 0.809523i) q^{48} +(1.69738 - 6.79109i) q^{49} +(-0.291069 + 5.31014i) q^{50} +(1.15148 - 0.918274i) q^{51} +(-0.969588 - 2.74727i) q^{52} +(7.34468 + 1.67637i) q^{53} +(-1.61283 + 0.670591i) q^{54} +(15.2948 + 7.36561i) q^{55} +(6.07596 + 4.36838i) q^{56} +(-0.708183 + 0.341043i) q^{57} +(1.87119 - 2.09952i) q^{58} +(1.35896 - 2.82191i) q^{59} +(-0.655769 - 1.03746i) q^{60} +(3.22852 - 0.736888i) q^{61} +(-6.70097 + 4.76811i) q^{62} +(-0.0802855 + 7.82311i) q^{63} +(-6.73933 + 4.31061i) q^{64} +(3.88450 + 1.87068i) q^{65} +(-1.65760 + 0.283924i) q^{66} -8.46231i q^{67} +(14.1219 + 1.55281i) q^{68} +(0.798814 - 0.182324i) q^{69} +(-10.9342 + 1.75759i) q^{70} +(-0.949657 + 4.16072i) q^{71} +(-7.73986 - 3.16954i) q^{72} +(-4.98837 + 6.25522i) q^{73} +(-7.66454 + 8.59981i) q^{74} +(0.760127 + 0.173494i) q^{75} +(-7.16338 - 2.48503i) q^{76} +(-3.52833 + 14.7588i) q^{77} +(-0.420987 + 0.0721095i) q^{78} +3.23144 q^{79} +(2.57254 - 11.5564i) q^{80} +(-1.91701 - 8.39896i) q^{81} +(-6.78369 + 12.3131i) q^{82} +(1.65753 + 1.32183i) q^{83} +(0.781633 - 0.769871i) q^{84} +(-16.4380 + 13.1089i) q^{85} +(2.36039 + 13.7803i) q^{86} +(-0.257072 - 0.322358i) q^{87} +(-13.2681 - 9.33418i) q^{88} +(1.09229 - 1.36969i) q^{89} +(11.4289 - 4.75198i) q^{90} +(-0.896107 + 3.74837i) q^{91} +(6.70352 + 4.18707i) q^{92} +(0.523149 + 1.08633i) q^{93} +(-12.7335 - 3.64996i) q^{94} +(10.1097 - 4.86857i) q^{95} +(0.456089 + 1.08055i) q^{96} +9.06066 q^{97} +(-3.61223 - 9.21693i) q^{98} -16.9600i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 324 q - 5 q^{2} - 5 q^{4} - 9 q^{6} - 12 q^{7} + q^{8} + 40 q^{9}+O(q^{10}) \) 324 * q - 5 * q^2 - 5 * q^4 - 9 * q^6 - 12 * q^7 + q^8 + 40 * q^9	\( 324 q - 5 q^{2} - 5 q^{4} - 9 q^{6} - 12 q^{7} + q^{8} + 40 q^{9} - 3 q^{10} + 14 q^{12} + 27 q^{14} - 22 q^{15} - 13 q^{16} - 10 q^{17} - 4 q^{18} - 11 q^{20} + 3 q^{22} - 10 q^{23} + 29 q^{24} + 36 q^{25} - 27 q^{26} - 44 q^{28} - 40 q^{30} - 96 q^{31} - 5 q^{32} - 22 q^{33} - 33 q^{34} - 23 q^{36} - 11 q^{38} - 22 q^{39} - 35 q^{40} - 10 q^{41} + 3 q^{42} - 11 q^{44} - 11 q^{46} - 14 q^{47} - 4 q^{48} - 20 q^{49} + 96 q^{50} - 3 q^{52} + 58 q^{54} - 46 q^{55} - 84 q^{56} + 36 q^{57} + 21 q^{58} - 103 q^{60} + 11 q^{62} - 24 q^{63} + 13 q^{64} - 30 q^{65} + 25 q^{66} - 40 q^{68} + 51 q^{70} - 90 q^{71} + 58 q^{72} + 6 q^{73} - 15 q^{74} - 98 q^{76} + 81 q^{78} - 24 q^{79} - 92 q^{80} - 20 q^{81} - 80 q^{82} - 70 q^{84} + 5 q^{86} - 46 q^{87} - 107 q^{88} + 6 q^{89} + 162 q^{90} + 60 q^{92} - 28 q^{94} + 64 q^{95} - 194 q^{96} - 24 q^{97} + 71 q^{98}+O(q^{100}) \) 324 * q - 5 * q^2 - 5 * q^4 - 9 * q^6 - 12 * q^7 + q^8 + 40 * q^9 - 3 * q^10 + 14 * q^12 + 27 * q^14 - 22 * q^15 - 13 * q^16 - 10 * q^17 - 4 * q^18 - 11 * q^20 + 3 * q^22 - 10 * q^23 + 29 * q^24 + 36 * q^25 - 27 * q^26 - 44 * q^28 - 40 * q^30 - 96 * q^31 - 5 * q^32 - 22 * q^33 - 33 * q^34 - 23 * q^36 - 11 * q^38 - 22 * q^39 - 35 * q^40 - 10 * q^41 + 3 * q^42 - 11 * q^44 - 11 * q^46 - 14 * q^47 - 4 * q^48 - 20 * q^49 + 96 * q^50 - 3 * q^52 + 58 * q^54 - 46 * q^55 - 84 * q^56 + 36 * q^57 + 21 * q^58 - 103 * q^60 + 11 * q^62 - 24 * q^63 + 13 * q^64 - 30 * q^65 + 25 * q^66 - 40 * q^68 + 51 * q^70 - 90 * q^71 + 58 * q^72 + 6 * q^73 - 15 * q^74 - 98 * q^76 + 81 * q^78 - 24 * q^79 - 92 * q^80 - 20 * q^81 - 80 * q^82 - 70 * q^84 + 5 * q^86 - 46 * q^87 - 107 * q^88 + 6 * q^89 + 162 * q^90 + 60 * q^92 - 28 * q^94 + 64 * q^95 - 194 * q^96 - 24 * q^97 + 71 * q^98

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