LMFDB - Embedded newform 192.2.s.a.107.27

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.27
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.27

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.33905 + 0.454913i) q^{2} +(0.322212 + 1.70182i) q^{3} +(1.58611 + 1.21830i) q^{4} +(-0.205456 - 0.307487i) q^{5} +(-0.342720 + 2.42540i) q^{6} +(1.38662 - 3.34760i) q^{7} +(1.56966 + 2.35291i) q^{8} +(-2.79236 + 1.09669i) q^{9} +O(q^{10})$	\(q+(1.33905 + 0.454913i) q^{2} +(0.322212 + 1.70182i) q^{3} +(1.58611 + 1.21830i) q^{4} +(-0.205456 - 0.307487i) q^{5} +(-0.342720 + 2.42540i) q^{6} +(1.38662 - 3.34760i) q^{7} +(1.56966 + 2.35291i) q^{8} +(-2.79236 + 1.09669i) q^{9} +(-0.135236 - 0.505205i) q^{10} +(-4.03685 - 0.802979i) q^{11} +(-1.56226 + 3.09182i) q^{12} +(-1.78994 - 1.19600i) q^{13} +(3.37962 - 3.85181i) q^{14} +(0.457086 - 0.448725i) q^{15} +(1.03148 + 3.86472i) q^{16} +(4.80663 + 4.80663i) q^{17} +(-4.23801 + 0.198247i) q^{18} +(-4.56869 - 3.05270i) q^{19} +(0.0487360 - 0.738016i) q^{20} +(6.14379 + 1.28114i) q^{21} +(-5.04025 - 2.91164i) q^{22} +(-0.318818 - 0.769695i) q^{23} +(-3.49845 + 3.42941i) q^{24} +(1.86108 - 4.49305i) q^{25} +(-1.85275 - 2.41577i) q^{26} +(-2.76610 - 4.39871i) q^{27} +(6.27772 - 3.62033i) q^{28} +(-0.933395 - 4.69249i) q^{29} +(0.816192 - 0.392931i) q^{30} +3.86841 q^{31} +(-0.376904 + 5.64428i) q^{32} +(0.0658005 - 7.12870i) q^{33} +(4.24972 + 8.62292i) q^{34} +(-1.31423 + 0.261417i) q^{35} +(-5.76509 - 1.66246i) q^{36} +(5.93353 + 8.88016i) q^{37} +(-4.72899 - 6.16608i) q^{38} +(1.45863 - 3.43152i) q^{39} +(0.400993 - 0.966069i) q^{40} +(-2.81632 + 1.16656i) q^{41} +(7.64403 + 4.51039i) q^{42} +(0.497451 + 0.0989491i) q^{43} +(-5.42461 - 6.19171i) q^{44} +(0.910926 + 0.633292i) q^{45} +(-0.0767692 - 1.17569i) q^{46} +(-3.50520 + 3.50520i) q^{47} +(-6.24468 + 3.00065i) q^{48} +(-4.33396 - 4.33396i) q^{49} +(4.53602 - 5.16978i) q^{50} +(-6.63125 + 9.72877i) q^{51} +(-1.38195 - 4.07768i) q^{52} +(0.878174 - 4.41488i) q^{53} +(-1.70292 - 7.14843i) q^{54} +(0.582490 + 1.40626i) q^{55} +(10.0531 - 1.99199i) q^{56} +(3.72305 - 8.75870i) q^{57} +(0.884813 - 6.70810i) q^{58} +(-7.88950 + 5.27159i) q^{59} +(1.27167 - 0.154858i) q^{60} +(1.65326 + 8.31151i) q^{61} +(5.17999 + 1.75979i) q^{62} +(-0.200655 + 10.8684i) q^{63} +(-3.07235 + 7.38652i) q^{64} +0.796110i q^{65} +(3.33105 - 9.51575i) q^{66} +(0.680415 - 0.135343i) q^{67} +(1.76791 + 13.4798i) q^{68} +(1.20715 - 0.790575i) q^{69} +(-1.87875 - 0.247811i) q^{70} +(-7.27127 - 3.01186i) q^{71} +(-6.96346 - 4.84873i) q^{72} +(-6.01717 + 2.49239i) q^{73} +(3.90560 + 14.5902i) q^{74} +(8.24601 + 1.71950i) q^{75} +(-3.52733 - 10.4080i) q^{76} +(-8.28563 + 12.4003i) q^{77} +(3.51422 - 3.93142i) q^{78} +(6.21702 - 6.21702i) q^{79} +(0.976426 - 1.11120i) q^{80} +(6.59453 - 6.12472i) q^{81} +(-4.30188 + 0.280899i) q^{82} +(1.80864 - 2.70682i) q^{83} +(8.18390 + 9.51701i) q^{84} +(0.490425 - 2.46553i) q^{85} +(0.621098 + 0.358794i) q^{86} +(7.68501 - 3.10045i) q^{87} +(-4.44713 - 10.7587i) q^{88} +(4.83165 + 2.00134i) q^{89} +(0.931683 + 1.26240i) q^{90} +(-6.48570 + 4.33361i) q^{91} +(0.432040 - 1.60924i) q^{92} +(1.24645 + 6.58333i) q^{93} +(-6.28820 + 3.09908i) q^{94} +2.03201i q^{95} +(-9.72698 + 1.17724i) q^{96} +13.4384i q^{97} +(-3.83182 - 7.77496i) q^{98} +(12.1529 - 2.18498i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{16}\right)$

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 $

$2$	1.33905	+	0.454913i	0.946851	+	0.321672i
$2$	1.33905	+	0.454913i	0.946851	+	0.321672i
$3$	0.322212	+	1.70182i	0.186029	+	0.982544i
$3$	0.322212	+	1.70182i	0.186029	+	0.982544i
$4$	1.58611	+	1.21830i	0.793054	+	0.609151i
$5$	−0.205456	−	0.307487i	−0.0918829	−	0.137512i	0.782681	−	0.622424i	$-0.213852\pi$
$5$	−0.205456	−	0.307487i	−0.0918829	−	0.137512i	−0.874563	+	0.484911i	$0.838852\pi$
$6$	−0.342720	+	2.42540i	−0.139915	+	0.990164i
$7$	1.38662	−	3.34760i	0.524094	−	1.26527i	−0.411246	−	0.911524i	$-0.634906\pi$
$7$	1.38662	−	3.34760i	0.524094	−	1.26527i	0.935340	−	0.353750i	$-0.115094\pi$
$8$	1.56966	+	2.35291i	0.554958	+	0.831879i
$9$	−2.79236	+	1.09669i	−0.930786	+	0.365564i
$10$	−0.135236	−	0.505205i	−0.0427655	−	0.159760i
$11$	−4.03685	−	0.802979i	−1.21715	−	0.242107i	−0.455586	−	0.890192i	$-0.650570\pi$
$11$	−4.03685	−	0.802979i	−1.21715	−	0.242107i	−0.761569	+	0.648084i	$0.775570\pi$
$12$	−1.56226	+	3.09182i	−0.450986	+	0.892531i
$13$	−1.78994	−	1.19600i	−0.496441	−	0.331711i	0.282016	−	0.959410i	$-0.408997\pi$
$13$	−1.78994	−	1.19600i	−0.496441	−	0.331711i	−0.778456	+	0.627699i	$0.783997\pi$
$14$	3.37962	−	3.85181i	0.903242	−	1.02944i
$15$	0.457086	−	0.448725i	0.118019	−	0.115860i
$16$	1.03148	+	3.86472i	0.257870	+	0.966179i
$17$	4.80663	+	4.80663i	1.16578	+	1.16578i	0.983189	+	0.182591i	$0.0584485\pi$
$17$	4.80663	+	4.80663i	1.16578	+	1.16578i	0.182591	+	0.983189i	$0.441552\pi$
$18$	−4.23801	+	0.198247i	−0.998908	+	0.0467272i
$19$	−4.56869	−	3.05270i	−1.04813	−	0.700338i	−0.0927417	−	0.995690i	$-0.529563\pi$
$19$	−4.56869	−	3.05270i	−1.04813	−	0.700338i	−0.955388	+	0.295352i	$0.904563\pi$
$20$	0.0487360	−	0.738016i	0.0108977	−	0.165025i
$21$	6.14379	+	1.28114i	1.34068	+	0.279567i
$22$	−5.04025	−	2.91164i	−1.07459	−	0.620764i
$23$	−0.318818	−	0.769695i	−0.0664782	−	0.160492i	0.887149	−	0.461483i	$-0.152683\pi$
$23$	−0.318818	−	0.769695i	−0.0664782	−	0.160492i	−0.953627	+	0.300991i	$0.902683\pi$
$24$	−3.49845	+	3.42941i	−0.714119	+	0.700024i
$25$	1.86108	−	4.49305i	0.372216	−	0.898609i
$26$	−1.85275	−	2.41577i	−0.363353	−	0.473772i
$27$	−2.76610	−	4.39871i	−0.532337	−	0.846533i
$28$	6.27772	−	3.62033i	1.18638	−	0.684179i
$29$	−0.933395	−	4.69249i	−0.173327	−	0.871374i	−0.965365	−	0.260903i	$-0.915980\pi$
$29$	−0.933395	−	4.69249i	−0.173327	−	0.871374i	0.792038	−	0.610472i	$-0.209020\pi$
$30$	0.816192	−	0.392931i	0.149016	−	0.0717390i
$31$	3.86841			0.694787			0.347394	−	0.937719i	$-0.387067\pi$
$31$	3.86841			0.694787			0.347394	+	0.937719i	$0.387067\pi$
$32$	−0.376904	+	5.64428i	−0.0666278	+	0.997778i
$33$	0.0658005	−	7.12870i	0.0114544	−	1.24095i
$34$	4.24972	+	8.62292i	0.728822	+	1.47882i
$35$	−1.31423	+	0.261417i	−0.222146	+	0.0441876i
$36$	−5.76509	−	1.66246i	−0.960848	−	0.277077i
$37$	5.93353	+	8.88016i	0.975467	+	1.45989i	0.885883	+	0.463910i	$0.153554\pi$
$37$	5.93353	+	8.88016i	0.975467	+	1.45989i	0.0895841	+	0.995979i	$0.471446\pi$
$38$	−4.72899	−	6.16608i	−0.767144	−	1.00027i
$39$	1.45863	−	3.43152i	0.233568	−	0.549483i
$40$	0.400993	−	0.966069i	0.0634025	−	0.152749i
$41$	−2.81632	+	1.16656i	−0.439836	+	0.182186i	−0.591601	−	0.806231i	$-0.701504\pi$
$41$	−2.81632	+	1.16656i	−0.439836	+	0.182186i	0.151766	+	0.988416i	$0.451504\pi$
$42$	7.64403	+	4.51039i	1.17950	+	0.695969i
$43$	0.497451	+	0.0989491i	0.0758605	+	0.0150896i	0.232875	−	0.972507i	$-0.425187\pi$
$43$	0.497451	+	0.0989491i	0.0758605	+	0.0150896i	−0.157014	+	0.987596i	$0.550187\pi$
$44$	−5.42461	−	6.19171i	−0.817790	−	0.933435i
$45$	0.910926	+	0.633292i	0.135793	+	0.0944056i
$46$	−0.0767692	−	1.17569i	−0.0113190	−	0.173347i
$47$	−3.50520	+	3.50520i	−0.511286	+	0.511286i	−0.914920	−	0.403634i	$-0.867747\pi$
$47$	−3.50520	+	3.50520i	−0.511286	+	0.511286i	0.403634	+	0.914920i	$0.367747\pi$
$48$	−6.24468	+	3.00065i	−0.901343	+	0.433107i
$49$	−4.33396	−	4.33396i	−0.619137	−	0.619137i
$50$	4.53602	−	5.16978i	0.641491	−	0.731118i
$51$	−6.63125	+	9.72877i	−0.928561	+	1.36230i
$52$	−1.38195	−	4.07768i	−0.191642	−	0.565472i
$53$	0.878174	−	4.41488i	0.120626	−	0.606430i	−0.872425	−	0.488748i	$-0.837454\pi$
$53$	0.878174	−	4.41488i	0.120626	−	0.606430i	0.993051	−	0.117682i	$-0.0375463\pi$
$54$	−1.70292	−	7.14843i	−0.231738	−	0.972778i
$55$	0.582490	+	1.40626i	0.0785429	+	0.189619i
$56$	10.0531	−	1.99199i	1.34340	−	0.266191i
$57$	3.72305	−	8.75870i	0.493130	−	1.16012i
$58$	0.884813	−	6.70810i	0.116182	−	0.880816i
$59$	−7.88950	+	5.27159i	−1.02712	+	0.686303i	−0.950490	−	0.310756i	$-0.899418\pi$
$59$	−7.88950	+	5.27159i	−1.02712	+	0.686303i	−0.0766352	+	0.997059i	$0.524418\pi$
$60$	1.27167	−	0.154858i	0.164172	−	0.0199921i
$61$	1.65326	+	8.31151i	0.211679	+	1.06418i	0.929745	+	0.368205i	$0.120028\pi$
$61$	1.65326	+	8.31151i	0.211679	+	1.06418i	−0.718066	+	0.695975i	$0.754972\pi$
$62$	5.17999	+	1.75979i	0.657860	+	0.223493i
$63$	−0.200655	+	10.8684i	−0.0252802	+	1.36929i
$64$	−3.07235	+	7.38652i	−0.384044	+	0.923315i
$65$			0.796110i			0.0987453i
$66$	3.33105	−	9.51575i	0.410024	−	1.17131i
$67$	0.680415	−	0.135343i	0.0831260	−	0.0165348i	−0.153352	−	0.988172i	$-0.549007\pi$
$67$	0.680415	−	0.135343i	0.0831260	−	0.0165348i	0.236478	+	0.971637i	$0.424007\pi$
$68$	1.76791	+	13.4798i	0.214391	+	1.63466i
$69$	1.20715	−	0.790575i	0.145324	−	0.0951740i
$70$	−1.87875	−	0.247811i	−0.224553	−	0.0296191i
$71$	−7.27127	−	3.01186i	−0.862941	−	0.357442i	−0.0930843	−	0.995658i	$-0.529673\pi$
$71$	−7.27127	−	3.01186i	−0.862941	−	0.357442i	−0.769857	+	0.638216i	$0.779673\pi$
$72$	−6.96346	−	4.84873i	−0.820652	−	0.571428i
$73$	−6.01717	+	2.49239i	−0.704256	+	0.291712i	−0.705925	−	0.708286i	$-0.749469\pi$
$73$	−6.01717	+	2.49239i	−0.704256	+	0.291712i	0.00166929	+	0.999999i	$0.499469\pi$
$74$	3.90560	+	14.5902i	0.454016	+	1.69608i
$75$	8.24601	+	1.71950i	0.952167	+	0.198551i
$76$	−3.52733	−	10.4080i	−0.404613	−	1.19388i
$77$	−8.28563	+	12.4003i	−0.944235	+	1.41315i
$78$	3.51422	−	3.93142i	0.397907	−	0.445146i
$79$	6.21702	−	6.21702i	0.699469	−	0.699469i	−0.264827	−	0.964296i	$-0.585315\pi$
$79$	6.21702	−	6.21702i	0.699469	−	0.699469i	0.964296	+	0.264827i	$0.0853147\pi$
$80$	0.976426	−	1.11120i	0.109168	−	0.124236i
$81$	6.59453	−	6.12472i	0.732726	−	0.680524i
$82$	−4.30188	+	0.280899i	−0.475063	+	0.0310201i
$83$	1.80864	−	2.70682i	0.198524	−	0.297112i	−0.718829	−	0.695187i	$-0.755322\pi$
$83$	1.80864	−	2.70682i	0.198524	−	0.297112i	0.917353	+	0.398075i	$0.130322\pi$
$84$	8.18390	+	9.51701i	0.892937	+	1.03839i
$85$	0.490425	−	2.46553i	0.0531940	−	0.267424i
$86$	0.621098	+	0.358794i	0.0669747	+	0.0386898i
$87$	7.68501	−	3.10045i	0.823920	−	0.332403i
$88$	−4.44713	−	10.7587i	−0.474066	−	1.14688i
$89$	4.83165	+	2.00134i	0.512154	+	0.212141i	0.623767	−	0.781611i	$-0.285602\pi$
$89$	4.83165	+	2.00134i	0.512154	+	0.212141i	−0.111613	+	0.993752i	$0.535602\pi$
$90$	0.931683	+	1.26240i	0.0982081	+	0.133069i
$91$	−6.48570	+	4.33361i	−0.679887	+	0.454286i
$92$	0.432040	−	1.60924i	0.0450433	−	0.167774i
$93$	1.24645	+	6.58333i	0.129251	+	0.682659i
$94$	−6.28820	+	3.09908i	−0.648578	+	0.319645i
$95$			2.03201i			0.208480i
$96$	−9.72698	+	1.17724i	−0.992756	+	0.120151i
$97$			13.4384i			1.36447i	0.731135	+	0.682233i	$0.238991\pi$
$97$			13.4384i			1.36447i	−0.731135	+	0.682233i	$0.761009\pi$
$98$	−3.83182	−	7.77496i	−0.387072	−	0.785390i
$99$	12.1529	−	2.18498i	1.22142	−	0.219598i
$100$	8.42576	−	4.85910i	0.842576	−	0.485910i
$101$	5.24475	−	3.50443i	0.521872	−	0.348704i	−0.266567	−	0.963816i	$-0.585889\pi$
$101$	5.24475	−	3.50443i	0.521872	−	0.348704i	0.788439	+	0.615113i	$0.210889\pi$
$102$	−13.3053	+	10.0107i	−1.31742	+	0.991203i
$103$	−4.53409	−	1.87808i	−0.446758	−	0.185053i	0.147951	−	0.988995i	$-0.452732\pi$
$103$	−4.53409	−	1.87808i	−0.446758	−	0.185053i	−0.594708	+	0.803942i	$0.702732\pi$
$104$	0.00448406	−	6.08888i	0.000439698	−	0.597064i
$105$	−0.868347	−	2.15235i	−0.0847420	−	0.210048i
$106$	3.18430	−	5.51225i	0.309287	−	0.535397i
$107$	1.40000	−	7.03825i	0.135343	−	0.680414i	−0.852219	−	0.523184i	$-0.824744\pi$
$107$	1.40000	−	7.03825i	0.135343	−	0.680414i	0.987562	−	0.157229i	$-0.0502561\pi$
$108$	0.971622	−	10.3468i	0.0934943	−	0.995620i
$109$	−3.57510	+	5.35051i	−0.342432	+	0.512486i	−0.962216	−	0.272287i	$-0.912220\pi$
$109$	−3.57510	+	5.35051i	−0.342432	+	0.512486i	0.619784	+	0.784772i	$0.287220\pi$
$110$	0.140260	+	2.14803i	0.0133732	+	0.204806i
$111$	−13.2005	+	12.9591i	−1.25294	+	1.23002i
$112$	14.3678	+	1.90591i	1.35763	+	0.180092i
$113$	−5.79345	+	5.79345i	−0.545002	+	0.545002i	−0.924991	−	0.379989i	$-0.875928\pi$
$113$	−5.79345	+	5.79345i	−0.545002	+	0.545002i	0.379989	+	0.924991i	$0.375928\pi$
$114$	8.96979	−	10.0347i	0.840098	−	0.939833i
$115$	−0.171168	+	0.256171i	−0.0159615	+	0.0238881i
$116$	4.23641	−	8.57996i	0.393341	−	0.796630i
$117$	6.30980	+	1.37665i	0.583342	+	0.127271i
$118$	−12.9625	+	3.46989i	−1.19330	+	0.319429i
$119$	22.7557	−	9.42571i	2.08601	−	0.864053i
$120$	1.77328	+	0.371137i	0.161877	+	0.0338800i
$121$	5.48868	+	2.27348i	0.498971	+	0.206680i
$122$	−1.56721	+	11.8816i	−0.141889	+	1.07571i
$123$	−2.89272	−	4.41698i	−0.260828	−	0.398266i
$124$	6.13572	+	4.71289i	0.551004	+	0.423230i
$125$	−3.57745	+	0.711600i	−0.319977	+	0.0636474i
$126$	−5.21286	+	14.4620i	−0.464399	+	1.28838i
$127$		−	2.14698i		−	0.190513i	−0.995453	−	0.0952566i	$-0.969633\pi$
$127$		−	2.14698i		−	0.190513i	0.995453	−	0.0952566i	$-0.0303672\pi$
$128$	−7.47425	+	8.49327i	−0.660637	+	0.750706i
$129$	−0.00810843	+	0.878453i	−0.000713908	+	0.0773434i
$130$	−0.362161	+	1.06603i	−0.0317636	+	0.0934971i
$131$	3.77955	+	19.0011i	0.330221	+	1.66013i	0.687538	+	0.726148i	$0.258691\pi$
$131$	3.77955	+	19.0011i	0.330221	+	1.66013i	−0.357318	+	0.933983i	$0.616309\pi$
$132$	8.78928	−	11.2267i	0.765008	−	0.977161i
$133$	−16.5543	+	11.0612i	−1.43544	+	0.959129i
$134$	0.972680	+	0.128299i	0.0840267	+	0.0110833i
$135$	−0.784235	+	1.75428i	−0.0674962	+	0.150985i
$136$	−3.76480	+	18.8543i	−0.322829	+	1.61675i
$137$	−6.60407	−	15.9436i	−0.564224	−	1.36216i	−0.906360	−	0.422507i	$-0.861150\pi$
$137$	−6.60407	−	15.9436i	−0.564224	−	1.36216i	0.342136	−	0.939650i	$-0.388850\pi$
$138$	1.97608	−	0.509470i	0.168215	−	0.0433690i
$139$	−2.20196	+	11.0700i	−0.186767	+	0.938943i	0.767741	+	0.640760i	$0.221381\pi$
$139$	−2.20196	+	11.0700i	−0.186767	+	0.938943i	−0.954509	+	0.298183i	$0.903619\pi$
$140$	−2.40300	−	1.18650i	−0.203091	−	0.100277i
$141$	−7.09463	−	4.83579i	−0.597475	−	0.407247i
$142$	−8.36646	−	7.34083i	−0.702098	−	0.616028i
$143$	6.26536	+	6.26536i	0.523935	+	0.523935i
$144$	−7.11867	−	9.66046i	−0.593223	−	0.805038i
$145$	−1.25111	+	1.25111i	−0.103899	+	0.103899i
$146$	−9.19111	+	0.600151i	−0.760661	+	0.0496689i
$147$	5.97915	−	8.77206i	0.493152	−	0.723507i
$148$	−1.40748	+	21.3137i	−0.115695	+	1.75198i
$149$	10.3738	+	2.06347i	0.849853	+	0.169046i	0.600756	−	0.799432i	$-0.294866\pi$
$149$	10.3738	+	2.06347i	0.849853	+	0.169046i	0.249097	+	0.968479i	$0.419866\pi$
$150$	10.2596	+	6.05371i	0.837692	+	0.494284i
$151$	17.0560	−	7.06485i	1.38800	−	0.574929i	0.441393	−	0.897314i	$-0.354485\pi$
$151$	17.0560	−	7.06485i	1.38800	−	0.574929i	0.946609	+	0.322385i	$0.104485\pi$
$152$	0.0114452	−	15.5414i	0.000928330	−	1.26058i
$153$	−18.6932	−	8.15045i	−1.51126	−	0.658924i
$154$	−16.7359	+	12.8354i	−1.34862	+	1.03431i
$155$	−0.794789	−	1.18949i	−0.0638390	−	0.0955418i
$156$	6.49417	−	3.66571i	0.519950	−	0.293491i
$157$	20.3237	−	4.04264i	1.62201	−	0.322637i	0.701293	−	0.712873i	$-0.252606\pi$
$157$	20.3237	−	4.04264i	1.62201	−	0.322637i	0.920715	+	0.390236i	$0.127606\pi$
$158$	11.1531	−	5.49670i	0.887293	−	0.437294i
$159$	7.79627	+	0.0719624i	0.618284	+	0.00570699i
$160$	1.81298	−	1.04376i	0.143329	−	0.0825165i
$161$	−3.01871			−0.237908
$162$	11.6166	−	5.20137i	0.912688	−	0.408658i
$163$	−3.28112	−	16.4953i	−0.256997	−	1.29201i	−0.866480	−	0.499212i	$-0.833623\pi$
$163$	−3.28112	−	16.4953i	−0.256997	−	1.29201i	0.609482	−	0.792800i	$-0.291377\pi$
$164$	−5.88821	−	1.58084i	−0.459792	−	0.123443i
$165$	−2.20550	+	1.44440i	−0.171698	+	0.112447i
$166$	3.65323	−	2.80179i	0.283545	−	0.217461i
$167$	5.55810	−	13.4184i	0.430099	−	1.03835i	−0.549157	−	0.835720i	$-0.685051\pi$
$167$	5.55810	−	13.4184i	0.430099	−	1.03835i	0.979255	−	0.202631i	$-0.0649491\pi$
$168$	6.62925	+	16.4667i	0.511457	+	1.27043i
$169$	−3.20141	−	7.72889i	−0.246262	−	0.594530i
$170$	1.77830	−	3.07837i	0.136390	−	0.236100i
$171$	16.1053	+	3.51379i	1.23160	+	0.268706i
$172$	0.668461	+	0.762989i	0.0509697	+	0.0581774i
$173$	−16.6870	−	11.1499i	−1.26869	−	0.847713i	−0.275175	−	0.961394i	$-0.588736\pi$
$173$	−16.6870	−	11.1499i	−1.26869	−	0.847713i	−0.993517	+	0.113681i	$0.963736\pi$
$174$	11.7010	−	0.655643i	0.887054	−	0.0497041i
$175$	−12.4603	−	12.4603i	−0.941911	−	0.941911i
$176$	−1.06065	−	16.4295i	−0.0799493	−	1.23842i
$177$	−11.5134	−	11.7279i	−0.865398	−	0.881523i
$178$	5.55939	+	4.87787i	0.416694	+	0.365612i
$179$	6.12378	+	4.09178i	0.457713	+	0.305834i	0.762968	−	0.646437i	$-0.223742\pi$
$179$	6.12378	+	4.09178i	0.457713	+	0.305834i	−0.305255	+	0.952271i	$0.598742\pi$
$180$	0.673288	+	2.11425i	0.0501839	+	0.157587i
$181$	1.65168	+	0.328540i	0.122769	+	0.0244202i	0.256092	−	0.966652i	$-0.417565\pi$
$181$	1.65168	+	0.328540i	0.122769	+	0.0244202i	−0.133324	+	0.991073i	$0.542565\pi$
$182$	−10.6561	+	2.85249i	−0.789882	+	0.211441i
$183$	−13.6120	+	5.49162i	−1.00623	+	0.405952i
$184$	1.31059	−	1.95831i	0.0966177	−	0.144368i
$185$	1.51145	−	3.64897i	0.111124	−	0.268278i
$186$	−1.32578	+	9.38243i	−0.0972109	+	0.687953i
$187$	−15.5440	−	23.2633i	−1.13669	−	1.70118i
$188$	−9.83002	+	1.28924i	−0.716928	+	0.0940273i
$189$	−18.5607	+	3.16045i	−1.35009	+	0.229889i
$190$	−0.924388	+	2.72096i	−0.0670622	+	0.197400i
$191$	−0.397669			−0.0287743			−0.0143872	−	0.999896i	$-0.504580\pi$
$191$	−0.397669			−0.0287743			−0.0143872	+	0.999896i	$0.504580\pi$
$192$	−13.5604	−	2.84855i	−0.978641	−	0.205576i
$193$	4.52110			0.325436			0.162718	−	0.986673i	$-0.447974\pi$
$193$	4.52110			0.325436			0.162718	+	0.986673i	$0.447974\pi$
$194$	−6.11332	+	17.9947i	−0.438911	+	1.29195i
$195$	−1.35483	+	0.256516i	−0.0970216	+	0.0183695i
$196$	−1.59406	−	12.1542i	−0.113862	−	0.868158i
$197$	−5.77548	−	8.64361i	−0.411486	−	0.615832i	0.566610	−	0.823986i	$-0.308255\pi$
$197$	−5.77548	−	8.64361i	−0.411486	−	0.615832i	−0.978096	+	0.208154i	$0.933255\pi$
$198$	17.2674	+	2.60274i	1.22714	+	0.184969i
$199$	−9.82405	+	23.7174i	−0.696409	+	1.68128i	0.0350425	+	0.999386i	$0.488843\pi$
$199$	−9.82405	+	23.7174i	−0.696409	+	1.68128i	−0.731451	+	0.681894i	$0.761157\pi$
$200$	13.4930	−	2.67359i	0.954098	−	0.189052i
$201$	0.449567	+	1.11433i	0.0317100	+	0.0785990i
$202$	8.61719	−	2.30670i	0.606303	−	0.162299i
$203$	−17.0029	−	3.38208i	−1.19337	−	0.237375i
$204$	−22.3705	+	7.35202i	−1.56625	+	0.514744i
$205$	0.937333	+	0.626306i	0.0654662	+	0.0437431i
$206$	−5.21701	−	4.57746i	−0.363487	−	0.318927i
$207$	1.73437	+	1.79962i	0.120547	+	0.125082i
$208$	2.77591	−	8.15127i	0.192475	−	0.565189i
$209$	15.9919	+	15.9919i	1.10618	+	1.10618i
$210$	−0.183627	−	3.27713i	−0.0126715	−	0.226143i
$211$	14.6846	+	9.81196i	1.01093	+	0.675483i	0.946588	−	0.322444i	$-0.104505\pi$
$211$	14.6846	+	9.81196i	1.01093	+	0.675483i	0.0643439	+	0.997928i	$0.479505\pi$
$212$	6.77153	−	5.93259i	0.465071	−	0.407452i
$213$	2.78274	−	13.3448i	0.190670	−	0.914373i
$214$	5.07645	−	8.78769i	0.347019	−	0.600714i
$215$	−0.0717788	−	0.173289i	−0.00489528	−	0.0118182i
$216$	6.00793	−	13.4129i	0.408788	−	0.912629i
$217$	5.36402	−	12.9499i	0.364133	−	0.879096i
$218$	−7.22125	+	5.53824i	−0.489084	+	0.375097i
$219$	−6.18040	−	9.43703i	−0.417633	−	0.637696i
$220$	−0.789351	+	2.94012i	−0.0532180	+	0.198223i
$221$	−2.85486	−	14.3523i	−0.192038	−	0.965443i
$222$	−23.5714	+	11.3478i	−1.58201	+	0.761612i
$223$	−21.2246			−1.42131			−0.710653	−	0.703543i	$-0.751600\pi$
$223$	−21.2246			−1.42131			−0.710653	+	0.703543i	$0.751600\pi$
$224$	18.3722	+	9.08821i	1.22754	+	0.607232i
$225$	−0.269314	+	14.5872i	−0.0179542	+	0.972482i
$226$	−10.3932	+	5.12221i	−0.691348	+	0.340724i
$227$	12.4401	−	2.47449i	0.825677	−	0.164237i	0.235873	−	0.971784i	$-0.424205\pi$
$227$	12.4401	−	2.47449i	0.825677	−	0.164237i	0.589804	+	0.807546i	$0.299205\pi$
$228$	16.5759	−	9.35645i	1.09777	−	0.619646i
$229$	−13.1791	−	19.7239i	−0.870897	−	1.30339i	−0.951816	−	0.306668i	$-0.900786\pi$
$229$	−13.1791	−	19.7239i	−0.870897	−	1.30339i	0.0809197	−	0.996721i	$-0.474214\pi$
$230$	−0.345738	+	0.265159i	−0.0227973	+	0.0174841i
$231$	−23.7728	−	10.1051i	−1.56414	−	0.664866i
$232$	9.57590	−	9.56180i	0.628688	−	0.627763i
$233$	−8.69475	+	3.60148i	−0.569612	+	0.235941i	−0.648852	−	0.760915i	$-0.724751\pi$
$233$	−8.69475	+	3.60148i	−0.569612	+	0.235941i	0.0792403	+	0.996856i	$0.474751\pi$
$234$	7.82289	+	4.71381i	0.511398	+	0.308151i
$235$	1.79797	+	0.357638i	0.117287	+	0.0233298i
$236$	−18.9360	−	1.25047i	−1.23263	−	0.0813985i
$237$	12.5834	+	8.57703i	0.817381	+	0.557138i
$238$	34.7589	−	2.26965i	2.25308	−	0.147119i
$239$	14.8001	−	14.8001i	0.957336	−	0.957336i	−0.0417901	−	0.999126i	$-0.513306\pi$
$239$	14.8001	−	14.8001i	0.957336	−	0.957336i	0.999126	+	0.0417901i	$0.0133061\pi$
$240$	2.20567	+	1.30366i	0.142376	+	0.0841507i
$241$	−3.25678	−	3.25678i	−0.209787	−	0.209787i	0.594390	−	0.804177i	$-0.297394\pi$
$241$	−3.25678	−	3.25678i	−0.209787	−	0.209787i	−0.804177	+	0.594390i	$0.797394\pi$
$242$	6.31537	+	5.54118i	0.405968	+	0.356200i
$243$	12.5480	+	9.24922i	0.804954	+	0.593338i
$244$	−7.50368	+	15.1971i	−0.480374	+	0.972897i
$245$	−0.442197	+	2.22308i	−0.0282510	+	0.142027i
$246$	−1.86416	−	7.23050i	−0.118854	−	0.461000i
$247$	4.52666	+	10.9283i	0.288024	+	0.695352i
$248$	6.07208	+	9.10201i	0.385577	+	0.577978i
$249$	5.18928	+	2.20580i	0.328857	+	0.139787i
$250$	−5.11410	−	0.674562i	−0.323444	−	0.0426630i
$251$	−2.57927	+	1.72341i	−0.162802	+	0.108781i	−0.634302	−	0.773085i	$-0.718713\pi$
$251$	−2.57927	+	1.72341i	−0.162802	+	0.108781i	0.471500	+	0.881866i	$0.343713\pi$
$252$	−13.5592	+	16.9940i	−0.854152	+	1.07052i
$253$	0.668971	+	3.36314i	0.0420578	+	0.211439i
$254$	0.976687	−	2.87491i	0.0612828	−	0.180388i
$255$	4.35390	+	0.0401881i	0.272652	+	0.00251668i
$256$	−13.8721	+	7.97277i	−0.867006	+	0.498298i
$257$			16.1035i			1.00451i	0.864720	+	0.502255i	$0.167496\pi$
$257$			16.1035i			1.00451i	−0.864720	+	0.502255i	$0.832504\pi$
$258$	−0.410477	+	1.17260i	−0.0255552	+	0.0730031i
$259$	37.9548	−	7.54968i	2.35840	−	0.469114i
$260$	−0.969902	+	1.26272i	−0.0601508	+	0.0783104i
$261$	7.75260	+	12.0795i	0.479874	+	0.747701i
$262$	−3.58283	+	27.1627i	−0.221348	+	1.67812i
$263$	19.7460	+	8.17904i	1.21759	+	0.504341i	0.896642	−	0.442756i	$-0.145999\pi$
$263$	19.7460	+	8.17904i	1.21759	+	0.504341i	0.320946	+	0.947098i	$0.395999\pi$
$264$	16.8765	−	11.0348i	1.03867	−	0.679145i
$265$	−1.53794	+	0.637037i	−0.0944752	+	0.0391329i
$266$	−27.1989	+	7.28077i	−1.66767	+	0.446412i
$267$	−1.84909	+	8.86744i	−0.113162	+	0.542678i
$268$	1.24410	+	0.614283i	0.0759956	+	0.0375233i
$269$	2.49611	−	3.73570i	0.152191	−	0.227770i	−0.747538	−	0.664219i	$-0.768764\pi$
$269$	2.49611	−	3.73570i	0.152191	−	0.227770i	0.899729	+	0.436449i	$0.143764\pi$
$270$	−1.84818	+	1.99232i	−0.112476	+	0.121248i
$271$	9.88114	−	9.88114i	0.600236	−	0.600236i	−0.340139	−	0.940375i	$-0.610474\pi$
$271$	9.88114	−	9.88114i	0.600236	−	0.600236i	0.940375	+	0.340139i	$0.110474\pi$
$272$	−13.6183	+	23.5342i	−0.825733	+	1.42697i
$273$	−9.46478	−	9.64114i	−0.572835	−	0.583508i
$274$	−1.59022	−	24.3536i	−0.0960684	−	1.47126i
$275$	−11.1207	+	16.6433i	−0.670605	+	1.00363i
$276$	2.87783	+	0.216738i	0.173225	+	0.0130461i
$277$	5.26705	−	26.4793i	0.316467	−	1.59098i	−0.415467	−	0.909608i	$-0.636382\pi$
$277$	5.26705	−	26.4793i	0.316467	−	1.59098i	0.731933	−	0.681376i	$-0.238618\pi$
$278$	−7.98440	+	13.8216i	−0.478873	+	0.828962i
$279$	−10.8020	+	4.24246i	−0.646698	+	0.253989i
$280$	−2.67799	−	2.68194i	−0.160040	−	0.160276i
$281$	12.5315	+	5.19070i	0.747564	+	0.309651i	0.723747	−	0.690065i	$-0.242418\pi$
$281$	12.5315	+	5.19070i	0.747564	+	0.309651i	0.0238170	+	0.999716i	$0.492418\pi$
$282$	−7.30020	−	9.70280i	−0.434720	−	0.577793i
$283$	1.30180	−	0.869837i	0.0773841	−	0.0517064i	−0.516276	−	0.856422i	$-0.672682\pi$
$283$	1.30180	−	0.869837i	0.0773841	−	0.0517064i	0.593660	+	0.804716i	$0.297682\pi$
$284$	−7.86368	−	13.6357i	−0.466623	−	0.809133i
$285$	−3.45811	+	0.654739i	−0.204841	+	0.0387834i
$286$	5.53943	+	11.2398i	0.327554	+	0.664624i
$287$			11.0455i			0.651995i
$288$	−5.13759	−	16.1742i	−0.302736	−	0.953075i
$289$			29.2075i			1.71809i
$290$	−2.24444	+	1.10615i	−0.131798	+	0.0649555i
$291$	−22.8698	+	4.33003i	−1.34065	+	0.253831i
$292$	−12.5804	−	3.37752i	−0.736210	−	0.197654i
$293$	8.12418	−	5.42840i	0.474620	−	0.317131i	−0.295152	−	0.955450i	$-0.595370\pi$
$293$	8.12418	−	5.42840i	0.474620	−	0.317131i	0.769771	+	0.638320i	$0.220370\pi$
$294$	11.9969	−	9.02624i	0.699674	−	0.526421i
$295$	3.24189	+	1.34284i	0.188750	+	0.0781829i
$296$	−11.5806	+	27.8999i	−0.673107	+	1.62165i
$297$	7.63425	+	19.9781i	0.442984	+	1.15924i
$298$	12.9523	+	7.48226i	0.750307	+	0.433435i
$299$	−0.349890	+	1.75902i	−0.0202347	+	0.101726i
$300$	10.9842	+	12.7734i	0.634172	+	0.737475i
$301$	1.02102	−	1.52806i	0.0588505	−	0.0880760i
$302$	26.0528	−	1.70117i	1.49917	−	0.0978912i
$303$	7.65382	+	7.79643i	0.439700	+	0.447893i
$304$	7.08531	−	20.8055i	0.406371	−	1.19328i
$305$	2.21601	−	2.21601i	0.126888	−	0.126888i
$306$	−21.3234	−	19.4176i	−1.21898	−	1.11003i
$307$	−6.41342	+	9.59836i	−0.366033	+	0.547807i	−0.968076	−	0.250656i	$-0.919354\pi$
$307$	−6.41342	+	9.59836i	−0.366033	+	0.547807i	0.602043	+	0.798464i	$0.294354\pi$
$308$	−28.2492	+	9.57386i	−1.60965	+	0.545521i
$309$	1.73521	−	8.32134i	0.0987127	−	0.473384i
$310$	−0.523150	−	1.95434i	−0.0297129	−	0.110999i
$311$	−3.44257	+	1.42596i	−0.195210	+	0.0808587i	−0.478147	−	0.878280i	$-0.658691\pi$
$311$	−3.44257	+	1.42596i	−0.195210	+	0.0808587i	0.282937	+	0.959139i	$0.408691\pi$
$312$	10.3636	−	1.95428i	0.586723	−	0.110639i
$313$	12.0271	+	4.98178i	0.679811	+	0.281587i	0.695748	−	0.718286i	$-0.255073\pi$
$313$	12.0271	+	4.98178i	0.679811	+	0.281587i	−0.0159366	+	0.999873i	$0.505073\pi$
$314$	29.0535	+	3.83222i	1.63958	+	0.216265i
$315$	3.38312	−	2.17128i	0.190617	−	0.122338i
$316$	17.4351	−	2.28666i	0.980800	−	0.128635i
$317$	18.8725	−	3.75398i	1.05999	−	0.210845i	0.365841	−	0.930678i	$-0.380782\pi$
$317$	18.8725	−	3.75398i	1.05999	−	0.210845i	0.694147	+	0.719833i	$0.255782\pi$
$318$	10.4069	+	3.64298i	0.583587	+	0.204288i
$319$			19.6924i			1.10256i
$320$	2.90249	−	0.572899i	0.162254	−	0.0320260i
$321$	12.4289	+	0.114723i	0.693714	+	0.00640323i
$322$	−4.04220	−	1.37325i	−0.225263	−	0.0765282i
$323$	−7.28681	−	36.6333i	−0.405449	−	2.03833i
$324$	17.9214	−	1.68034i	0.995633	−	0.0933522i
$325$	−8.70491	+	5.81644i	−0.482862	+	0.322638i
$326$	3.11034	−	23.5807i	0.172266	−	1.30601i
$327$	−10.2575	−	4.36016i	−0.567242	−	0.241117i
$328$	−7.16546	−	4.79545i	−0.395647	−	0.264784i
$329$	6.87362	+	16.5944i	0.378955	+	0.914879i
$330$	−3.61036	+	0.930817i	−0.198744	+	0.0512398i
$331$	−0.951564	+	4.78384i	−0.0523027	+	0.262943i	−0.998085	−	0.0618579i	$-0.980297\pi$
$331$	−0.951564	+	4.78384i	−0.0523027	+	0.262943i	0.945782	+	0.324801i	$0.105297\pi$
$332$	6.16642	−	2.08984i	0.338426	−	0.114695i
$333$	−26.3073	−	18.2893i	−1.44163	−	1.00225i
$334$	13.5468	−	15.4395i	0.741248	−	0.844812i
$335$	−0.181412	−	0.181412i	−0.00991159	−	0.00991159i
$336$	1.38597	+	25.0655i	0.0756110	+	1.36743i
$337$	−8.17594	+	8.17594i	−0.445372	+	0.445372i	−0.893813	−	0.448441i	$-0.851979\pi$
$337$	−8.17594	+	8.17594i	−0.445372	+	0.445372i	0.448441	+	0.893813i	$0.351979\pi$
$338$	−0.770878	−	11.8057i	−0.0419302	−	0.642147i
$339$	−11.7261	−	7.99267i	−0.636875	−	0.434102i
$340$	3.78163	−	3.31312i	0.205088	−	0.179679i
$341$	−15.6162	−	3.10625i	−0.845664	−	0.168213i
$342$	19.9673	+	12.0316i	1.07971	+	0.650597i
$343$	2.91527	−	1.20754i	0.157410	−	0.0652013i
$344$	0.548009	+	1.32577i	0.0295467	+	0.0714808i
$345$	−0.491109	−	0.208755i	−0.0264404	−	0.0112390i
$346$	−17.2725	−	22.5215i	−0.928578	−	1.21076i
$347$	7.71616	+	11.5480i	0.414225	+	0.619931i	0.978645	−	0.205556i	$-0.0659003\pi$
$347$	7.71616	+	11.5480i	0.414225	+	0.619931i	−0.564420	+	0.825487i	$0.690900\pi$
$348$	15.9665	+	4.44502i	0.855897	+	0.238278i
$349$	20.8284	−	4.14302i	1.11492	−	0.221771i	0.396944	−	0.917843i	$-0.370071\pi$
$349$	20.8284	−	4.14302i	1.11492	−	0.221771i	0.717972	+	0.696072i	$0.245071\pi$
$350$	−11.0166	−	22.3533i	−0.588863	−	1.19484i
$351$	−0.309704	+	11.1817i	−0.0165308	+	0.596835i
$352$	6.05374	−	22.4825i	0.322666	−	1.19832i
$353$	29.6464			1.57792			0.788960	−	0.614445i	$-0.210620\pi$
$353$	29.6464			1.57792			0.788960	+	0.614445i	$0.210620\pi$
$354$	−10.0818	−	20.9418i	−0.535842	−	1.11305i
$355$	0.567821	+	2.85463i	0.0301368	+	0.151508i
$356$	5.22529	+	9.06074i	0.276940	+	0.480218i
$357$	23.3730	+	35.6889i	1.23703	+	1.88886i
$358$	6.33864	+	8.26488i	0.335008	+	0.436813i
$359$	−9.40375	+	22.7027i	−0.496311	+	1.19820i	0.455146	+	0.890417i	$0.349587\pi$
$359$	−9.40375	+	22.7027i	−0.496311	+	1.19820i	−0.951456	+	0.307783i	$0.900413\pi$
$360$	−0.0602345	+	3.13738i	−0.00317463	+	0.165354i
$361$	4.28298	+	10.3400i	0.225420	+	0.544212i
$362$	2.06223	+	1.19130i	0.108388	+	0.0626135i
$363$	−2.10053	+	10.0733i	−0.110249	+	0.528709i
$364$	−15.5667	−	1.02797i	−0.815915	−	0.0538802i
$365$	2.00264	+	1.33812i	0.104823	+	0.0700406i
$366$	−20.7253	+	1.16130i	−1.08333	+	0.0607020i
$367$	−20.2550	−	20.2550i	−1.05730	−	1.05730i	−0.998255	−	0.0590468i	$-0.981194\pi$
$367$	−20.2550	−	20.2550i	−1.05730	−	1.05730i	−0.0590468	−	0.998255i	$-0.518806\pi$
$368$	2.64580	−	2.02607i	0.137922	−	0.105616i
$369$	6.58482	−	6.34609i	0.342792	−	0.330364i
$370$	3.68387	−	4.19857i	0.191515	−	0.218273i
$371$	−13.5615	−	9.06154i	−0.704081	−	0.470452i
$372$	−6.04347	+	11.9604i	−0.313339	+	0.620119i
$373$	−28.4298	−	5.65504i	−1.47204	−	0.292807i	−0.607076	−	0.794644i	$-0.707658\pi$
$373$	−28.4298	−	5.65504i	−1.47204	−	0.292807i	−0.864962	+	0.501837i	$0.832658\pi$
$374$	−10.2315	−	38.2218i	−0.529056	−	1.97640i
$375$	−2.36371	−	5.85888i	−0.122062	−	0.302551i
$376$	−13.7494	−	2.74545i	−0.709070	−	0.141586i
$377$	−3.94150	+	9.51563i	−0.202998	+	0.490080i
$378$	−26.2914	−	4.21148i	−1.35228	−	0.216615i
$379$	7.33699	+	10.9806i	0.376876	+	0.564034i	0.970619	−	0.240620i	$-0.0773507\pi$
$379$	7.33699	+	10.9806i	0.376876	+	0.564034i	−0.593744	+	0.804654i	$0.702351\pi$
$380$	−2.47560	+	3.22299i	−0.126996	+	0.165336i
$381$	3.65376	−	0.691782i	0.187188	−	0.0354411i
$382$	−0.532499	−	0.180905i	−0.0272450	−	0.00925589i
$383$	−22.0958			−1.12904			−0.564522	−	0.825418i	$-0.690939\pi$
$383$	−22.0958			−1.12904			−0.564522	+	0.825418i	$0.690939\pi$
$384$	−16.8623	−	9.98317i	−0.860499	−	0.509451i
$385$	5.51527			0.281084
$386$	6.05398	+	2.05671i	0.308139	+	0.104684i
$387$	−1.49758	+	0.269249i	−0.0761261	+	0.0136867i
$388$	−16.3721	+	21.3148i	−0.831166	+	1.08210i
$389$	−6.48020	−	9.69831i	−0.328559	−	0.491724i	0.630009	−	0.776588i	$-0.283051\pi$
$389$	−6.48020	−	9.69831i	−0.328559	−	0.491724i	−0.958568	+	0.284865i	$0.908051\pi$
$390$	−1.93088	−	0.272842i	−0.0977740	−	0.0138159i
$391$	2.16720	−	5.23208i	0.109600	−	0.264598i
$392$	3.39458	−	17.0002i	0.171452	−	0.858642i
$393$	−31.1185	+	12.5545i	−1.56972	+	0.633290i
$394$	−3.80156	−	14.2016i	−0.191520	−	0.715465i
$395$	−3.18898	−	0.634327i	−0.160455	−	0.0319165i
$396$	21.9378	+	11.3403i	1.10242	+	0.569874i
$397$	−4.82955	−	3.22700i	−0.242388	−	0.161959i	0.428443	−	0.903569i	$-0.359062\pi$
$397$	−4.82955	−	3.22700i	−0.242388	−	0.161959i	−0.670831	+	0.741610i	$0.734062\pi$
$398$	−23.9442	+	27.2896i	−1.20022	+	1.36791i
$399$	−24.1582	−	24.6083i	−1.20942	−	1.23196i
$400$	19.2840	+	2.55806i	0.964202	+	0.127903i
$401$	−19.9832	−	19.9832i	−0.997911	−	0.997911i	0.00208641	−	0.999998i	$-0.499336\pi$
$401$	−19.9832	−	19.9832i	−0.997911	−	0.997911i	−0.999998	+	0.00208641i	$0.999336\pi$
$402$	0.0950687	+	1.69666i	0.00474160	+	0.0846218i
$403$	−6.92423	−	4.62662i	−0.344920	−	0.230468i
$404$	12.5882	+	0.831281i	0.626286	+	0.0413578i
$405$	−3.23816	−	0.769371i	−0.160905	−	0.0382304i
$406$	−21.2291	−	12.2636i	−1.05358	−	0.608632i
$407$	−16.8222	−	40.6123i	−0.833844	−	2.01308i
$408$	−33.2997	−	0.331893i	−1.64858	−	0.0164312i
$409$	3.56348	−	8.60299i	0.176203	−	0.425391i	−0.810962	−	0.585099i	$-0.801056\pi$
$409$	3.56348	−	8.60299i	0.176203	−	0.425391i	0.987164	+	0.159709i	$0.0510555\pi$
$410$	0.970221	+	1.26506i	0.0479158	+	0.0624768i
$411$	25.0052	−	16.3762i	1.23342	−	0.807776i
$412$	−4.90349	−	8.50274i	−0.241578	−	0.418900i
$413$	6.70744	+	33.7206i	0.330052	+	1.65928i
$414$	1.50374	+	3.19877i	0.0739049	+	0.157211i
$415$	−1.20391			−0.0590976
$416$	7.42520	−	9.65216i	0.364051	−	0.473236i
$417$	−19.5486	−	0.180440i	−0.957297	−	0.00883620i
$418$	14.1390	+	28.6888i	0.691561	+	1.40321i
$419$	−5.42550	+	1.07920i	−0.265053	+	0.0527223i	−0.325828	−	0.945429i	$-0.605643\pi$
$419$	−5.42550	+	1.07920i	−0.265053	+	0.0527223i	0.0607746	+	0.998152i	$0.480643\pi$
$420$	1.24492	−	4.47177i	0.0607460	−	0.218200i
$421$	2.48825	+	3.72393i	0.121270	+	0.181493i	0.887138	−	0.461505i	$-0.152690\pi$
$421$	2.48825	+	3.72393i	0.121270	+	0.181493i	−0.765868	+	0.642998i	$0.777690\pi$
$422$	15.1999	+	19.8189i	0.739918	+	0.964771i
$423$	5.94365	−	13.6319i	0.288990	−	0.662806i
$424$	11.7662	−	4.86358i	0.571419	−	0.236197i
$425$	30.5420	−	12.6509i	1.48150	−	0.613659i
$426$	9.79696	−	16.6035i	0.474664	−	0.804442i
$427$	30.1161	+	5.99046i	1.45742	+	0.289899i
$428$	10.7953	−	9.45782i	0.521809	−	0.457161i
$429$	−8.64371	+	12.6813i	−0.417322	+	0.612257i
$430$	−0.0172839	−	0.264696i	−0.000833501	−	0.0127648i
$431$	1.81056	−	1.81056i	0.0872117	−	0.0872117i	−0.662155	−	0.749367i	$-0.730358\pi$
$431$	1.81056	−	1.81056i	0.0872117	−	0.0872117i	0.749367	+	0.662155i	$0.230358\pi$
$432$	14.1466	−	15.2274i	0.680629	−	0.732628i
$433$	9.11035	+	9.11035i	0.437816	+	0.437816i	0.891276	−	0.453461i	$-0.149811\pi$
$433$	9.11035	+	9.11035i	0.437816	+	0.437816i	−0.453461	+	0.891276i	$0.649811\pi$
$434$	13.0738	−	14.9004i	0.627561	−	0.715242i
$435$	−2.53228	−	1.72604i	−0.121414	−	0.0827571i
$436$	−12.1890	+	4.13094i	−0.583748	+	0.197836i
$437$	−0.893068	+	4.48976i	−0.0427212	+	0.214774i
$438$	−3.98284	−	15.4482i	−0.190307	−	0.738144i
$439$	9.80118	+	23.6622i	0.467785	+	1.12933i	0.965128	+	0.261779i	$0.0843091\pi$
$439$	9.80118	+	23.6622i	0.467785	+	1.12933i	−0.497343	+	0.867554i	$0.665691\pi$
$440$	−2.39448	+	3.57788i	−0.114152	+	0.170569i
$441$	16.8550	+	7.34895i	0.802619	+	0.349950i
$442$	2.70626	−	20.5172i	0.128724	−	0.975904i
$443$	13.7608	−	9.19470i	0.653797	−	0.436853i	−0.183932	−	0.982939i	$-0.558883\pi$
$443$	13.7608	−	9.19470i	0.653797	−	0.436853i	0.837729	+	0.546086i	$0.183883\pi$
$444$	−36.7256	+	4.47227i	−1.74292	+	0.212244i
$445$	−0.377308	−	1.89686i	−0.0178861	−	0.0899197i
$446$	−28.4208	−	9.65535i	−1.34577	−	0.457194i
$447$	−0.169092	+	18.3191i	−0.00799779	+	0.866465i
$448$	20.4669	+	20.5273i	0.966971	+	0.969824i
$449$		−	28.1239i		−	1.32725i	−0.748066	−	0.663624i	$-0.769017\pi$
$449$		−	28.1239i		−	1.32725i	0.748066	−	0.663624i	$-0.230983\pi$
$450$	−6.99654	+	19.4105i	−0.329820	+	0.915021i
$451$	12.3058	−	2.44777i	0.579456	−	0.115261i
$452$	−16.2472	+	2.13087i	−0.764205	+	0.100228i
$453$	17.5187	+	26.7499i	0.823102	+	1.25682i
$454$	17.7836	+	2.34569i	0.834624	+	0.110089i
$455$	2.66506	+	1.10390i	0.124940	+	0.0517518i
$456$	26.4523	−	4.98816i	1.23874	−	0.233592i
$457$	−20.1949	+	8.36500i	−0.944678	+	0.391298i	−0.801228	−	0.598359i	$-0.795820\pi$
$457$	−20.1949	+	8.36500i	−0.944678	+	0.391298i	−0.143450	+	0.989658i	$0.545820\pi$
$458$	−8.67478	−	32.4065i	−0.405346	−	1.51426i
$459$	7.84737	−	34.4386i	0.366284	−	1.60746i
$460$	−0.583585	+	0.197781i	−0.0272098	+	0.00922158i
$461$	7.09871	−	10.6240i	0.330620	−	0.494808i	−0.628499	−	0.777810i	$-0.716330\pi$
$461$	7.09871	−	10.6240i	0.330620	−	0.494808i	0.959119	+	0.283002i	$0.0913305\pi$
$462$	−27.2360	−	24.3458i	−1.26713	−	1.13267i
$463$	−14.0626	+	14.0626i	−0.653546	+	0.653546i	−0.953845	−	0.300299i	$-0.902914\pi$
$463$	−14.0626	+	14.0626i	−0.653546	+	0.653546i	0.300299	+	0.953845i	$0.402914\pi$
$464$	17.1724	−	8.44753i	0.797208	−	0.392167i
$465$	1.76820	−	1.73585i	0.0819982	−	0.0804983i
$466$	−13.2811	+	0.867212i	−0.615233	+	0.0401728i
$467$	−8.70099	+	13.0220i	−0.402634	+	0.602584i	−0.976278	−	0.216521i	$-0.930529\pi$
$467$	−8.70099	+	13.0220i	−0.402634	+	0.602584i	0.573644	+	0.819105i	$0.305529\pi$
$468$	8.33086	+	9.87076i	0.385094	+	0.456276i
$469$	0.490404	−	2.46543i	0.0226448	−	0.113843i
$470$	2.24488	+	1.29681i	0.103548	+	0.0598176i
$471$	13.4284	+	33.2846i	0.618747	+	1.53367i
$472$	−24.7874	−	10.2887i	−1.14093	−	0.473574i
$473$	−1.92868	−	0.798885i	−0.0886807	−	0.0367328i
$474$	12.9480	+	17.2094i	0.594723	+	0.790455i
$475$	−22.2186	+	14.8460i	−1.01946	+	0.681182i
$476$	47.5763	+	12.7731i	2.18066	+	0.585453i
$477$	2.38959	+	13.2910i	0.109412	+	0.608553i
$478$	26.5508	−	13.0853i	1.21440	−	0.598507i
$479$		−	20.7790i		−	0.949419i	−0.880143	−	0.474709i	$-0.842553\pi$
$479$		−	20.7790i		−	0.949419i	0.880143	−	0.474709i	$-0.157447\pi$
$480$	2.36045	+	2.74905i	0.107740	+	0.125476i
$481$		−	22.9915i		−	1.04832i
$482$	−2.87944	−	5.84253i	−0.131155	−	0.266120i
$483$	−0.972666	−	5.13729i	−0.0442578	−	0.233755i
$484$	5.93585	+	10.2929i	0.269811	+	0.467857i
$485$	4.13215	−	2.76101i	0.187631	−	0.125371i
$486$	12.5948	+	18.0934i	0.571311	+	0.820734i
$487$	−30.5641	−	12.6600i	−1.38499	−	0.573681i	−0.439179	−	0.898400i	$-0.644730\pi$
$487$	−30.5641	−	12.6600i	−1.38499	−	0.573681i	−0.945811	+	0.324718i	$0.894730\pi$
$488$	−16.9612	+	16.9362i	−0.767796	+	0.766666i
$489$	27.0148	−	10.8989i	1.22165	−	0.492863i
$490$	−1.60343	+	2.77565i	−0.0724356	+	0.125391i
$491$	−0.319597	+	1.60672i	−0.0144232	+	0.0725104i	−0.987327	−	0.158702i	$-0.949269\pi$
$491$	−0.319597	+	1.60672i	−0.0144232	+	0.0725104i	0.972903	+	0.231212i	$0.0742692\pi$
$492$	0.793046	−	10.5300i	0.0357533	−	0.474730i
$493$	18.0686	−	27.0416i	0.813770	−	1.21789i
$494$	1.08999	+	16.6928i	0.0490409	+	0.751045i
$495$	−3.16875	−	3.28796i	−0.142425	−	0.147783i
$496$	3.99020	+	14.9503i	0.179165	+	0.671289i
$497$	−20.1650	+	20.1650i	−0.904524	+	0.904524i
$498$	5.94525	+	5.31435i	0.266413	+	0.238142i
$499$	−2.61978	+	3.92078i	−0.117278	+	0.175518i	−0.885464	−	0.464708i	$-0.846159\pi$
$499$	−2.61978	+	3.92078i	−0.117278	+	0.175518i	0.768187	+	0.640226i	$0.221159\pi$
$500$	−6.54117	−	3.22974i	−0.292530	−	0.144439i
$501$	24.6266	+	5.13528i	1.10024	+	0.229427i
$502$	−4.23777	+	1.13439i	−0.189141	+	0.0506304i
$503$	−30.4424	+	12.6097i	−1.35736	+	0.562237i	−0.938332	−	0.345736i	$-0.887629\pi$
$503$	−30.4424	+	12.6097i	−1.35736	+	0.562237i	−0.419028	+	0.907973i	$0.637629\pi$
$504$	−25.8873	+	16.5875i	−1.15311	+	0.738868i
$505$	−2.15513	−	0.892685i	−0.0959022	−	0.0397240i
$506$	−0.634152	+	4.80774i	−0.0281915	+	0.213730i
$507$	12.1216	−	7.93856i	0.538340	−	0.352564i
$508$	2.61566	−	3.40534i	0.116051	−	0.151087i
$509$	−6.26902	+	1.24699i	−0.277870	+	0.0552717i	−0.332058	−	0.943259i	$-0.607743\pi$
$509$	−6.26902	+	1.24699i	−0.277870	+	0.0552717i	0.0541882	+	0.998531i	$0.482743\pi$
$510$	5.81181	+	2.03446i	0.257351	+	0.0900874i
$511$			23.5991i			1.04396i
$512$	−22.2023	+	4.36535i	−0.981214	+	0.192923i
$513$	−0.790496	+	28.5405i	−0.0349012	+	1.26009i
$514$	−7.32570	+	21.5634i	−0.323123	+	0.951121i
$515$	0.354072	+	1.78004i	0.0156023	+	0.0784379i
$516$	−1.08308	+	1.38344i	−0.0476800	+	0.0609027i
$517$	16.9646	−	11.3354i	0.746100	−	0.498528i
$518$	54.2578	+	7.15672i	2.38395	+	0.314448i
$519$	13.5984	−	31.9909i	0.596902	−	1.40425i
$520$	−1.87317	+	1.24962i	−0.0821441	+	0.0547995i
$521$	−2.24862	−	5.42864i	−0.0985137	−	0.237833i	0.866938	−	0.498417i	$-0.166085\pi$
$521$	−2.24862	−	5.42864i	−0.0985137	−	0.237833i	−0.965451	+	0.260584i	$0.916085\pi$
$522$	4.88601	+	19.7018i	0.213855	+	0.862323i
$523$	−3.10991	+	15.6346i	−0.135987	+	0.683653i	0.851297	+	0.524685i	$0.175817\pi$
$523$	−3.10991	+	15.6346i	−0.135987	+	0.683653i	−0.987284	+	0.158968i	$0.949183\pi$
$524$	−17.1543	+	34.7424i	−0.749387	+	1.51773i
$525$	17.1903	−	25.2200i	0.750246	−	1.10069i
$526$	22.7201	+	19.9348i	0.990642	+	0.869200i
$527$	18.5940	+	18.5940i	0.809969	+	0.809969i
$528$	27.6183	−	7.09883i	1.20193	−	0.308937i
$529$	15.7727	−	15.7727i	0.685768	−	0.685768i
$530$	−2.34918	+	0.153394i	−0.102042	+	0.00666302i
$531$	16.2490	−	23.3725i	0.705146	−	1.01428i
$532$	−39.7328	−	2.62382i	−1.72263	−	0.113757i
$533$	6.43626	+	1.28025i	0.278785	+	0.0554538i
$534$	−6.50993	+	11.0328i	−0.281712	+	0.477435i
$535$	−2.45181	+	1.01557i	−0.106001	+	0.0439070i
$536$	1.38647	+	1.38851i	0.0598863	+	0.0599746i
$537$	−4.99030	+	11.7400i	−0.215347	+	0.506617i
$538$	5.04184	−	3.86677i	0.217369	−	0.166708i
$539$	14.0155	+	20.9756i	0.603688	+	0.903484i
$540$	−3.38113	+	1.82705i	−0.145501	+	0.0786238i
$541$	−21.0799	+	4.19304i	−0.906294	+	0.180273i	−0.626166	−	0.779690i	$-0.715377\pi$
$541$	−21.0799	+	4.19304i	−0.906294	+	0.180273i	−0.280128	+	0.959963i	$0.590377\pi$
$542$	17.7264	−	8.73628i	0.761414	−	0.375255i
$543$	−0.0269224	+	2.91672i	−0.00115535	+	0.125169i
$544$	−28.9417	+	25.3184i	−1.24086	+	1.08552i
$545$	2.37974			0.101937
$546$	−8.28794	−	17.2156i	−0.354691	−	0.736760i
$547$	−0.794590	−	3.99467i	−0.0339742	−	0.170800i	0.960073	−	0.279749i	$-0.0902513\pi$
$547$	−0.794590	−	3.99467i	−0.0339742	−	0.170800i	−0.994047	+	0.108949i	$0.965251\pi$
$548$	8.94939	−	33.3341i	0.382299	−	1.42396i
$549$	−13.7317	−	21.3956i	−0.586054	−	0.913142i
$550$	−22.4625	+	17.2273i	−0.957803	+	0.734574i
$551$	−10.0604	+	24.2879i	−0.428587	+	1.03470i
$552$	3.75497	+	1.59939i	0.159822	+	0.0680744i
$553$	−12.1914	−	29.4327i	−0.518433	−	1.25161i
$554$	19.0986	−	33.0610i	0.811422	−	1.40463i
$555$	6.69688	+	1.39647i	0.284267	+	0.0592769i
$556$	−16.9791	+	14.8755i	−0.720075	+	0.630864i
$557$	4.28886	+	2.86572i	0.181725	+	0.121425i	0.643105	−	0.765778i	$-0.277646\pi$
$557$	4.28886	+	2.86572i	0.181725	+	0.121425i	−0.461381	+	0.887202i	$0.652646\pi$
$558$	−16.3943	+	0.766899i	−0.694028	+	0.0324654i
$559$	−0.772065	−	0.772065i	−0.0326549	−	0.0326549i
$560$	−2.36591	−	4.80950i	−0.0999781	−	0.203238i
$561$	34.5813	−	33.9488i	1.46003	−	1.43332i
$562$	14.4189	+	12.6513i	0.608226	+	0.533664i
$563$	−6.98124	−	4.66471i	−0.294224	−	0.196594i	0.399693	−	0.916649i	$-0.369117\pi$
$563$	−6.98124	−	4.66471i	−0.294224	−	0.196594i	−0.693917	+	0.720055i	$0.744117\pi$
$564$	−5.36140	−	16.3135i	−0.225756	−	0.686921i
$565$	2.97171	+	0.591111i	0.125021	+	0.0248682i
$566$	2.13888	−	0.572548i	0.0899038	−	0.0240660i
$567$	−11.3590	−	30.5685i	−0.477033	−	1.28376i
$568$	−4.32678	−	21.8362i	−0.181548	−	0.916228i
$569$	−11.5903	+	27.9815i	−0.485891	+	1.17304i	0.470879	+	0.882198i	$0.343937\pi$
$569$	−11.5903	+	27.9815i	−0.485891	+	1.17304i	−0.956770	+	0.290847i	$0.906063\pi$
$570$	−4.92843	−	0.696410i	−0.206429	−	0.0291694i
$571$	−7.13831	−	10.6832i	−0.298729	−	0.447079i	0.651492	−	0.758655i	$-0.274143\pi$
$571$	−7.13831	−	10.6832i	−0.298729	−	0.447079i	−0.950221	+	0.311576i	$0.899143\pi$
$572$	2.30444	+	17.5706i	0.0963536	+	0.734665i
$573$	−0.128134	−	0.676760i	−0.00535287	−	0.0282721i
$574$	−5.02474	+	14.7905i	−0.209728	+	0.617342i
$575$	−4.05162			−0.168964
$576$	0.478362	−	23.9952i	0.0199317	−	0.999801i
$577$	−13.2086			−0.549883			−0.274942	−	0.961461i	$-0.588659\pi$
$577$	−13.2086			−0.549883			−0.274942	+	0.961461i	$0.588659\pi$
$578$	−13.2869	+	39.1103i	−0.552660	+	1.62677i
$579$	1.45675	+	7.69408i	0.0605406	+	0.319755i
$580$	−3.50862	+	0.460167i	−0.145688	+	0.0191074i
$581$	−6.55346	−	9.80794i	−0.271883	−	0.406902i
$582$	−32.5935	−	4.60562i	−1.35104	−	0.190909i
$583$	−7.09010	+	17.1170i	−0.293642	+	0.708915i
$584$	−15.3093	−	10.2456i	−0.633502	−	0.423967i
$585$	−0.873088	−	2.22302i	−0.0360977	−	0.0919107i
$586$	13.3481	−	3.57311i	0.551406	−	0.147604i
$587$	3.23501	+	0.643484i	0.133523	+	0.0265594i	0.261399	−	0.965231i	$-0.415816\pi$
$587$	3.23501	+	0.643484i	0.133523	+	0.0265594i	−0.127876	+	0.991790i	$0.540816\pi$
$588$	20.1706	−	6.62904i	0.831822	−	0.273377i
$589$	−17.6736	−	11.8091i	−0.728227	−	0.486586i
$590$	3.73018	+	3.27290i	0.153569	+	0.134743i
$591$	12.8489	−	12.6139i	0.528534	−	0.518866i
$592$	−28.1990	+	32.0911i	−1.15897	+	1.31894i
$593$	−18.8340	−	18.8340i	−0.773418	−	0.773418i	0.205284	−	0.978702i	$-0.434188\pi$
$593$	−18.8340	−	18.8340i	−0.773418	−	0.773418i	−0.978702	+	0.205284i	$0.934188\pi$
$594$	1.13438	+	30.2245i	0.0465441	+	1.24013i
$595$	−7.57358	−	5.06050i	−0.310487	−	0.207460i
$596$	13.9400	+	15.9113i	0.571005	+	0.651751i
$597$	−43.5280	−	9.07671i	−1.78148	−	0.371485i
$598$	−1.26872	+	2.19624i	−0.0518818	+	0.0898109i
$599$	4.05941	+	9.80027i	0.165863	+	0.400428i	0.984856	−	0.173375i	$-0.0554673\pi$
$599$	4.05941	+	9.80027i	0.165863	+	0.400428i	−0.818993	+	0.573803i	$0.805467\pi$
$600$	8.89757	+	22.1011i	0.363242	+	0.902274i
$601$	3.52542	−	8.51113i	0.143805	−	0.347176i	−0.835523	−	0.549456i	$-0.814835\pi$
$601$	3.52542	−	8.51113i	0.143805	−	0.347176i	0.979328	+	0.202280i	$0.0648350\pi$
$602$	2.06233	−	1.58168i	0.0840542	−	0.0644643i
$603$	−1.75153	+	1.12413i	−0.0713280	+	0.0457782i
$604$	35.6599	+	9.57380i	1.45098	+	0.389552i
$605$	−0.428616	−	2.15480i	−0.0174257	−	0.0876050i
$606$	6.70215	+	13.9216i	0.272256	+	0.565527i
$607$	38.7569			1.57310			0.786548	−	0.617529i	$-0.211866\pi$
$607$	38.7569			1.57310			0.786548	+	0.617529i	$0.211866\pi$
$608$	18.9523	−	24.6364i	0.768617	−	0.999139i
$609$	0.277146	−	30.0255i	0.0112305	−	1.21669i
$610$	3.97544	−	1.95926i	0.160961	−	0.0793280i
$611$	10.4663	−	2.08188i	0.423422	−	0.0842239i
$612$	−19.7198	−	35.7015i	−0.797127	−	1.44315i
$613$	9.86969	+	14.7710i	0.398633	+	0.596596i	0.975435	−	0.220288i	$-0.0706996\pi$
$613$	9.86969	+	14.7710i	0.398633	+	0.596596i	−0.576802	+	0.816884i	$0.695700\pi$
$614$	−12.9543	+	9.93513i	−0.522793	+	0.400949i
$615$	−0.763837	+	1.79697i	−0.0308009	+	0.0724609i
$616$	−42.1824	−	0.0310645i	−1.69958	−	0.00125163i
$617$	−38.6830	+	16.0230i	−1.55732	+	0.645062i	−0.984621	−	0.174704i	$-0.944103\pi$
$617$	−38.6830	+	16.0230i	−1.55732	+	0.645062i	−0.572698	+	0.819767i	$0.694103\pi$
$618$	6.10902	−	10.3533i	0.245741	−	0.416471i
$619$	−22.4433	−	4.46425i	−0.902073	−	0.179433i	−0.277799	−	0.960639i	$-0.589605\pi$
$619$	−22.4433	−	4.46425i	−0.902073	−	0.179433i	−0.624274	+	0.781206i	$0.714605\pi$
$620$	0.188531	−	2.85495i	0.00757158	−	0.114657i
$621$	−2.50378	+	3.53144i	−0.100473	+	0.141712i
$622$	−5.25846	+	0.343361i	−0.210845	+	0.0137675i
$623$	13.3993	−	13.3993i	0.536833	−	0.536833i
$624$	14.7664	+	2.09765i	0.591129	+	0.0839734i
$625$	−16.2403	−	16.2403i	−0.649613	−	0.649613i
$626$	13.8386	+	12.1421i	0.553102	+	0.485297i
$627$	−22.0624	+	32.3680i	−0.881089	+	1.29265i
$628$	37.1608	+	18.3483i	1.48288	+	0.732179i
$629$	−14.1634	+	71.2040i	−0.564730	+	2.83909i
$630$	5.51791	−	1.36843i	0.219839	−	0.0545196i
$631$	−2.84519	−	6.86890i	−0.113265	−	0.273446i	0.857074	−	0.515193i	$-0.172280\pi$
$631$	−2.84519	−	6.86890i	−0.113265	−	0.273446i	−0.970339	+	0.241747i	$0.922280\pi$
$632$	24.3867	+	4.86948i	0.970050	+	0.193698i
$633$	−11.9666	+	28.1521i	−0.475629	+	1.11895i
$634$	26.9790	+	3.55859i	1.07147	+	0.141330i
$635$	−0.660167	+	0.441110i	−0.0261979	+	0.0175049i
$636$	12.2781	+	9.61235i	0.486857	+	0.381154i
$637$	2.57412	+	12.9410i	0.101990	+	0.512739i
$638$	−8.95831	+	26.3691i	−0.354663	+	1.04396i
$639$	23.6071	+	0.435841i	0.933882	+	0.0172416i
$640$	4.14720	+	0.553241i	0.163933	+	0.0218688i
$641$		−	27.3039i		−	1.07844i	−0.842166	−	0.539219i	$-0.818719\pi$
$641$		−	27.3039i		−	1.07844i	0.842166	−	0.539219i	$-0.181281\pi$
$642$	16.5907	+	5.80769i	0.654784	+	0.229211i
$643$	−28.6125	+	5.69138i	−1.12837	+	0.224446i	−0.723765	−	0.690047i	$-0.757590\pi$
$643$	−28.6125	+	5.69138i	−1.12837	+	0.224446i	−0.404602	+	0.914493i	$0.632590\pi$
$644$	−4.78800	−	3.67770i	−0.188674	−	0.144922i
$645$	0.271779	−	0.177990i	0.0107013	−	0.00700836i
$646$	6.90754	−	52.3686i	0.271774	−	2.06042i
$647$	10.0282	+	4.15383i	0.394251	+	0.163304i	0.570996	−	0.820953i	$-0.306557\pi$
$647$	10.0282	+	4.15383i	0.394251	+	0.163304i	−0.176746	+	0.984257i	$0.556557\pi$
$648$	24.7621	+	5.90261i	0.972745	+	0.231877i
$649$	36.0817	−	14.9455i	1.41633	−	0.586663i
$650$	−14.3023	+	3.82852i	−0.560982	+	0.150167i
$651$	23.7667	+	4.95596i	0.931490	+	0.194240i
$652$	14.8920	−	30.1607i	0.583217	−	1.18119i
$653$	1.82666	−	2.73378i	0.0714826	−	0.106981i	−0.794006	−	0.607910i	$-0.792008\pi$
$653$	1.82666	−	2.73378i	0.0714826	−	0.106981i	0.865489	+	0.500929i	$0.167008\pi$
$654$	−11.7518	−	10.5047i	−0.459533	−	0.410768i
$655$	5.06605	−	5.06605i	0.197947	−	0.197947i
$656$	−7.41340	−	9.68100i	−0.289445	−	0.377980i
$657$	14.0687	−	13.5586i	0.548872	−	0.528973i
$658$	1.65512	+	25.3476i	0.0645234	+	0.988153i
$659$	−19.4372	+	29.0898i	−0.757166	+	1.13318i	0.229954	+	0.973201i	$0.426142\pi$
$659$	−19.4372	+	29.0898i	−0.757166	+	1.13318i	−0.987121	+	0.159978i	$0.948858\pi$
$660$	−5.25789	−	0.395986i	−0.204663	−	0.0154137i
$661$	−1.05532	+	5.30543i	−0.0410470	+	0.206357i	−0.995866	−	0.0908291i	$-0.971048\pi$
$661$	−1.05532	+	5.30543i	−0.0410470	+	0.206357i	0.954819	+	0.297186i	$0.0960483\pi$
$662$	−3.45042	+	5.97292i	−0.134104	+	0.232144i
$663$	23.5052	−	9.48294i	0.912865	−	0.368287i
$664$	9.20785	+	0.00678097i	0.357334	+	0.000263153i
$665$	6.80236	+	2.81763i	0.263784	+	0.109263i
$666$	−26.9068	−	36.4579i	−1.04262	−	1.41271i
$667$	−3.31421	+	2.21448i	−0.128327	+	0.0857451i
$668$	25.1635	−	14.5117i	0.973604	−	0.561473i
$669$	−6.83884	−	36.1204i	−0.264405	−	1.39650i
$670$	−0.160393	−	0.325446i	−0.00619652	−	0.0125731i
$671$		−	34.8798i		−	1.34652i
$672$	−9.54672	+	34.1944i	−0.368273	+	1.31908i
$673$			23.8460i			0.919195i	0.888127	+	0.459597i	$0.152006\pi$
$673$			23.8460i			0.919195i	−0.888127	+	0.459597i	$0.847994\pi$
$674$	−14.6673	+	7.22865i	−0.564964	+	0.278437i
$675$	−24.9116	+	4.24186i	−0.958847	+	0.163269i
$676$	4.33833	−	16.1591i	0.166859	−	0.621506i
$677$	−24.4080	+	16.3089i	−0.938075	+	0.626802i	−0.927773	−	0.373145i	$-0.878279\pi$
$677$	−24.4080	+	16.3089i	−0.938075	+	0.626802i	−0.0103021	+	0.999947i	$0.503279\pi$
$678$	−12.0659	−	16.0370i	−0.463388	−	0.615895i
$679$	44.9865	+	18.6340i	1.72642	+	0.715108i
$680$	6.57097	−	2.71612i	0.251985	−	0.104158i
$681$	8.21947	+	20.3734i	0.314971	+	0.780711i
$682$	−19.4978	−	11.2634i	−0.746608	−	0.431299i
$683$	1.91491	−	9.62691i	0.0732720	−	0.368363i	−0.926700	−	0.375801i	$-0.877368\pi$
$683$	1.91491	−	9.62691i	0.0732720	−	0.368363i	0.999972	+	0.00743779i	$0.00236754\pi$
$684$	21.2639	+	25.1944i	0.813046	+	0.963331i
$685$	−3.54562	+	5.30639i	−0.135471	+	0.202747i
$686$	4.45302	−	0.290768i	0.170017	−	0.0111016i
$687$	29.3199	−	28.7836i	1.11862	−	1.09816i
$688$	0.130701	+	2.02457i	0.00498293	+	0.0771861i
$689$	−6.85208	+	6.85208i	−0.261043	+	0.261043i
$690$	−0.562654	−	0.502945i	−0.0214199	−	0.0191468i
$691$	2.15685	−	3.22795i	0.0820503	−	0.122797i	−0.788174	−	0.615452i	$-0.788974\pi$
$691$	2.15685	−	3.22795i	0.0820503	−	0.122797i	0.870225	+	0.492655i	$0.163974\pi$
$692$	−12.8835	−	38.0149i	−0.489757	−	1.44511i
$693$	9.53711	−	43.7129i	0.362285	−	1.66052i
$694$	5.07896	+	18.9736i	0.192795	+	0.720227i
$695$	3.85628	−	1.59732i	0.146277	−	0.0605900i
$696$	19.3579	+	13.2155i	0.733759	+	0.500932i
$697$	−19.1442	−	7.92981i	−0.725140	−	0.300363i
$698$	29.7749	+	3.92738i	1.12700	+	0.148653i
$699$	−8.93062	−	13.6364i	−0.337787	−	0.515777i
$700$	−4.58299	−	34.9438i	−0.173221	−	1.32075i
$701$	36.2192	−	7.20446i	1.36798	−	0.272109i	0.544172	−	0.838974i	$-0.316844\pi$
$701$	36.2192	−	7.20446i	1.36798	−	0.272109i	0.823810	+	0.566865i	$0.191844\pi$
$702$	−5.50141	+	14.8320i	−0.207637	+	0.559796i
$703$		−	58.6840i		−	2.21331i
$704$	18.3338	−	27.3512i	0.690982	−	1.03084i
$705$	−0.0293068	+	3.17505i	−0.00110376	+	0.119579i
$706$	39.6980	+	13.4865i	1.49405	+	0.507572i
$707$	−4.45895	−	22.4166i	−0.167696	−	0.843064i
$708$	−3.97334	−	32.6285i	−0.149327	−	1.22625i
$709$	−30.4297	+	20.3325i	−1.14281	+	0.763603i	−0.974998	−	0.222216i	$-0.928671\pi$
$709$	−30.4297	+	20.3325i	−1.14281	+	0.763603i	−0.167815	+	0.985819i	$0.553671\pi$
$710$	−0.538267	+	4.08080i	−0.0202008	+	0.153150i
$711$	−10.5420	+	24.1783i	−0.395355	+	0.906757i
$712$	2.87508	+	14.5098i	0.107748	+	0.543779i
$713$	−1.23332	−	2.97750i	−0.0461882	−	0.111508i
$714$	15.0623	+	58.4219i	0.563691	+	2.18638i
$715$	0.639259	−	3.21377i	0.0239069	−	0.120188i
$716$	4.72796	+	13.9506i	0.176692	+	0.521359i
$717$	29.9557	+	20.4182i	1.11872	+	0.762533i
$718$	−22.9198	+	26.1221i	−0.855360	+	0.974868i
$719$	−9.57473	−	9.57473i	−0.357077	−	0.357077i	0.505657	−	0.862734i	$-0.331250\pi$
$719$	−9.57473	−	9.57473i	−0.357077	−	0.357077i	−0.862734	+	0.505657i	$0.831250\pi$
$720$	−1.50789	+	4.17370i	−0.0561957	+	0.155545i
$721$	−12.5741	+	12.5741i	−0.468286	+	0.468286i
$722$	1.03131	+	15.7942i	0.0383814	+	0.587799i
$723$	4.49306	−	6.59181i	0.167099	−	0.245152i
$724$	2.21949	+	2.53335i	0.0824866	+	0.0941512i
$725$	−22.8207	−	4.53932i	−0.847540	−	0.168586i
$726$	−7.39518	+	12.5330i	−0.274461	+	0.465145i
$727$	14.8233	−	6.14001i	0.549766	−	0.227720i	−0.0904697	−	0.995899i	$-0.528837\pi$
$727$	14.8233	−	6.14001i	0.549766	−	0.227720i	0.640235	+	0.768179i	$0.278837\pi$
$728$	−20.3769	−	8.45798i	−0.755219	−	0.313474i
$729$	−11.6974	+	24.3346i	−0.433236	+	0.901281i
$730$	2.07291	+	2.70284i	0.0767218	+	0.100037i
$731$	1.91545	+	2.86668i	0.0708455	+	0.106028i
$732$	−28.2805	−	7.87317i	−1.04528	−	0.291001i
$733$	−3.84101	+	0.764024i	−0.141871	+	0.0282199i	−0.265515	−	0.964107i	$-0.585542\pi$
$733$	−3.84101	+	0.764024i	−0.141871	+	0.0282199i	0.123644	+	0.992327i	$0.460542\pi$
$734$	−17.9082	−	36.3367i	−0.661003	−	1.34121i
$735$	−3.92575	−	0.0362361i	−0.144803	−	0.00133659i
$736$	4.46454	−	1.50940i	0.164565	−	0.0556372i
$737$	−2.85541			−0.105180
$738$	11.7043	−	5.50221i	0.430842	−	0.202539i
$739$	−1.43669	−	7.22275i	−0.0528496	−	0.265693i	0.945322	−	0.326139i	$-0.105748\pi$
$739$	−1.43669	−	7.22275i	−0.0528496	−	0.265693i	−0.998171	+	0.0604459i	$0.980748\pi$
$740$	6.84287	−	3.94626i	0.251549	−	0.145067i
$741$	−17.1395	+	11.2248i	−0.629634	+	0.412353i
$742$	−14.0374	−	18.3032i	−0.515328	−	0.671931i
$743$	−9.58352	+	23.1367i	−0.351585	+	0.848802i	0.644839	+	0.764318i	$0.276924\pi$
$743$	−9.58352	+	23.1367i	−0.351585	+	0.848802i	−0.996425	+	0.0844842i	$0.973076\pi$
$744$	−13.5335	+	13.2663i	−0.496161	+	0.486368i
$745$	−1.49687	−	3.61376i	−0.0548409	−	0.132398i
$746$	−35.4964	−	20.5054i	−1.29961	−	0.750758i
$747$	−2.08182	+	9.54194i	−0.0761698	+	0.349121i
$748$	3.68718	−	55.8354i	0.134816	−	2.04154i
$749$	−21.6200	−	14.4460i	−0.789977	−	0.527846i
$750$	−0.499847	−	8.92062i	−0.0182518	−	0.325735i
$751$	29.7949	+	29.7949i	1.08723	+	1.08723i	0.995813	+	0.0914170i	$0.0291396\pi$
$751$	29.7949	+	29.7949i	1.08723	+	1.08723i	0.0914170	+	0.995813i	$0.470860\pi$
$752$	−17.1622	−	9.93106i	−0.625840	−	0.362148i
$753$	−3.76400	−	3.83413i	−0.137168	−	0.139724i
$754$	−9.60665	+	10.9489i	−0.349854	+	0.398734i
$755$	−5.67662	−	3.79300i	−0.206593	−	0.138041i
$756$	−33.2896	−	17.5997i	−1.21073	−	0.640094i
$757$	19.0913	+	3.79749i	0.693884	+	0.138022i	0.529419	−	0.848361i	$-0.322410\pi$
$757$	19.0913	+	3.79749i	0.693884	+	0.138022i	0.164466	+	0.986383i	$0.447410\pi$
$758$	4.82939	+	18.0412i	0.175411	+	0.655287i
$759$	−5.50790	+	2.22211i	−0.199924	+	0.0806576i
$760$	−4.78114	+	3.18956i	−0.173430	+	0.115698i
$761$	12.7497	−	30.7806i	0.462178	−	1.11580i	−0.505323	−	0.862930i	$-0.668627\pi$
$761$	12.7497	−	30.7806i	0.462178	−	1.11580i	0.967501	−	0.252866i	$-0.0813733\pi$
$762$	5.20726	+	0.735811i	0.188639	+	0.0266556i
$763$	12.9541	+	19.3871i	0.468968	+	0.701861i
$764$	−0.630747	−	0.484481i	−0.0228196	−	0.0175279i
$765$	1.33449	+	7.42249i	0.0482485	+	0.268361i
$766$	−29.5874	−	10.0517i	−1.06904	−	0.363182i
$767$	20.4266			0.737561
$768$	−18.0380	−	21.0388i	−0.650889	−	0.759173i
$769$	4.98012			0.179588			0.0897938	−	0.995960i	$-0.471379\pi$
$769$	4.98012			0.179588			0.0897938	+	0.995960i	$0.471379\pi$
$770$	7.38523	+	2.50897i	0.266145	+	0.0904169i
$771$	−27.4052	+	5.18875i	−0.986975	+	0.186868i
$772$	7.17096	+	5.50806i	0.258088	+	0.198240i
$773$	−7.77329	−	11.6335i	−0.279586	−	0.418430i	0.664925	−	0.746910i	$-0.268463\pi$
$773$	−7.77329	−	11.6335i	−0.279586	−	0.418430i	−0.944511	+	0.328480i	$0.893463\pi$
$774$	−2.12782	−	0.320729i	−0.0764828	−	0.0115284i
$775$	7.19943	−	17.3810i	0.258611	−	0.624342i
$776$	−31.6194	+	21.0937i	−1.13507	+	0.757221i
$777$	25.0777	+	62.1595i	0.899656	+	2.22996i
$778$	−4.26543	−	15.9344i	−0.152923	−	0.571277i
$779$	16.4281	+	3.26775i	0.588597	+	0.117079i
$780$	−2.46143	−	1.24373i	−0.0881332	−	0.0445328i
$781$	26.9346	+	17.9971i	0.963794	+	0.643987i
$782$	5.28213	−	6.02013i	0.188889	−	0.215280i
$783$	−18.0591	+	17.0857i	−0.645379	+	0.610592i
$784$	12.2791	−	21.2199i	0.438541	−	0.757855i
$785$	−5.41869	−	5.41869i	−0.193401	−	0.193401i
$786$	−47.3804	+	2.65486i	−1.69000	+	0.0946957i
$787$	22.6328	+	15.1228i	0.806772	+	0.539068i	0.889194	−	0.457530i	$-0.151266\pi$
$787$	22.6328	+	15.1228i	0.806772	+	0.539068i	−0.0824223	+	0.996597i	$0.526266\pi$
$788$	1.36999	−	20.7460i	0.0488040	−	0.739045i
$789$	−7.55684	+	36.2394i	−0.269031	+	1.29016i
$790$	−3.98164	−	2.30010i	−0.141660	−	0.0818340i
$791$	11.3608	+	27.4275i	0.403945	+	0.975210i
$792$	24.2170	+	25.1651i	0.860514	+	0.894202i
$793$	6.98133	−	16.8544i	0.247914	−	0.598518i
$794$	−4.99901	−	6.51815i	−0.177408	−	0.231320i
$795$	−1.57967	−	2.41204i	−0.0560249	−	0.0855461i
$796$	−44.4769	+	25.6497i	−1.57644	+	0.909128i
$797$	−2.85174	−	14.3367i	−0.101014	−	0.507831i	−0.997854	−	0.0654763i	$-0.979143\pi$
$797$	−2.85174	−	14.3367i	−0.101014	−	0.507831i	0.896840	−	0.442354i	$-0.145857\pi$
$798$	−21.1543	−	43.9416i	−0.748856	−	1.55551i
$799$	−33.6964			−1.19209
$800$	24.6586	+	12.1979i	0.871813	+	0.431262i
$801$	−15.6865	−	0.289610i	−0.554257	−	0.0102329i
$802$	−17.6679	−	35.8490i	−0.623874	−	1.26587i
$803$	26.2917	−	5.22975i	0.927814	−	0.184554i
$804$	−0.644531	+	2.31516i	−0.0227309	+	0.0816495i
$805$	0.620213	+	0.928214i	0.0218596	+	0.0327153i
$806$	−7.16718	−	9.34520i	−0.252453	−	0.329171i
$807$	7.16175	+	3.04424i	0.252106	+	0.107162i
$808$	16.4781	+	6.83965i	0.579696	+	0.240618i
$809$	−30.9054	+	12.8014i	−1.08657	+	0.450074i	−0.852811	−	0.522220i	$-0.825104\pi$
$809$	−30.9054	+	12.8014i	−1.08657	+	0.450074i	−0.233764	+	0.972293i	$0.575104\pi$
$810$	−3.98606	−	2.50331i	−0.140056	−	0.0879572i
$811$	−16.5890	−	3.29976i	−0.582518	−	0.115870i	−0.104970	−	0.994475i	$-0.533475\pi$
$811$	−16.5890	−	3.29976i	−0.582518	−	0.115870i	−0.477549	+	0.878605i	$0.658475\pi$
$812$	−22.8480	−	26.0790i	−0.801807	−	0.915192i
$813$	19.9997	+	13.6321i	0.701420	+	0.478097i
$814$	−4.05067	−	62.0346i	−0.141976	−	2.17431i
$815$	−4.39797	+	4.39797i	−0.154054	+	0.154054i
$816$	−44.4390	−	15.5929i	−1.55567	−	0.545860i
$817$	−1.97064	−	1.97064i	−0.0689439	−	0.0689439i
$818$	8.68528	−	9.89876i	0.303674	−	0.346102i
$819$	13.3578	−	19.2138i	0.466758	−	0.671385i
$820$	0.723682	+	2.13534i	0.0252721	+	0.0745694i
$821$	8.87853	−	44.6354i	0.309863	−	1.55779i	−0.441110	−	0.897453i	$-0.645415\pi$
$821$	8.87853	−	44.6354i	0.309863	−	1.55779i	0.750973	−	0.660333i	$-0.229585\pi$
$822$	40.9330	−	10.5533i	1.42770	−	0.368088i
$823$	−0.107538	−	0.259621i	−0.00374855	−	0.00904980i	0.921994	−	0.387204i	$-0.126559\pi$
$823$	−0.107538	−	0.259621i	−0.00374855	−	0.00904980i	−0.925743	+	0.378154i	$0.876559\pi$
$824$	−2.69802	−	13.6163i	−0.0939899	−	0.474345i
$825$	−31.9071	−	13.5627i	−1.11086	−	0.472194i
$826$	−6.35833	+	48.2048i	−0.221234	+	1.67726i
$827$	24.9784	−	16.6900i	0.868583	−	0.580368i	−0.0394717	−	0.999221i	$-0.512568\pi$
$827$	24.9784	−	16.6900i	0.868583	−	0.580368i	0.908054	+	0.418852i	$0.137568\pi$
$828$	0.558426	+	4.96738i	0.0194066	+	0.172628i
$829$	−0.880092	−	4.42452i	−0.0305669	−	0.153670i	0.962488	−	0.271326i	$-0.0874621\pi$
$829$	−0.880092	−	4.42452i	−0.0305669	−	0.153670i	−0.993054	+	0.117656i	$0.962462\pi$
$830$	−1.61209	−	0.547674i	−0.0559566	−	0.0190100i
$831$	46.7600	+	0.431611i	1.62208	+	0.0149724i
$832$	14.3336	−	9.54691i	0.496929	−	0.330979i
$833$		−	41.6635i		−	1.44356i
$834$	−26.0944	−	9.13451i	−0.903576	−	0.316302i
$835$	−5.26794	+	1.04786i	−0.182305	+	0.0362627i
$836$	5.88192	+	44.8477i	0.203430	+	1.55109i
$837$	−10.7004	−	17.0160i	−0.369861	−	0.588160i
$838$	−7.75596	−	1.02303i	−0.267925	−	0.0353399i
$839$	11.2040	+	4.64085i	0.386805	+	0.160220i	0.567607	−	0.823300i	$-0.307869\pi$
$839$	11.2040	+	4.64085i	0.386805	+	0.160220i	−0.180802	+	0.983520i	$0.557869\pi$
$840$	3.70128	−	5.42160i	0.127706	−	0.187063i
$841$	5.64423	−	2.33792i	0.194629	−	0.0806178i
$842$	1.63783	+	6.11846i	0.0564433	+	0.210856i
$843$	−4.79583	+	22.9988i	−0.165177	+	0.792119i
$844$	11.3375	+	33.4532i	0.390253	+	1.15151i
$845$	−1.71878	+	2.57234i	−0.0591280	+	0.0884913i
$846$	14.1602	−	15.5500i	0.486837	−	0.534618i
$847$	15.2214	−	15.2214i	0.523015	−	0.523015i
$848$	17.9681	−	1.15997i	0.617026	−	0.0398336i
$849$	1.89976	+	1.93516i	0.0651996	+	0.0664144i
$850$	46.6523	−	3.04625i	1.60016	−	0.104486i
$851$	4.94329	−	7.39816i	0.169454	−	0.253606i
$852$	20.6718	−	17.7761i	0.708203	−	0.609001i
$853$	−7.41247	+	37.2650i	−0.253798	+	1.27593i	0.618044	+	0.786143i	$0.287925\pi$
$853$	−7.41247	+	37.2650i	−0.253798	+	1.27593i	−0.871842	+	0.489787i	$0.837075\pi$
$854$	37.6018	+	21.7217i	1.28671	+	0.743302i
$855$	−2.22849	−	5.67410i	−0.0762128	−	0.194050i
$856$	18.7579	−	7.75359i	0.641131	−	0.265012i
$857$	19.6448	+	8.13715i	0.671054	+	0.277960i	0.692082	−	0.721819i	$-0.256694\pi$
$857$	19.6448	+	8.13715i	0.671054	+	0.277960i	−0.0210277	+	0.999779i	$0.506694\pi$
$858$	−17.3432	+	13.0487i	−0.592088	+	0.445475i
$859$	−5.68053	+	3.79561i	−0.193817	+	0.129505i	−0.648693	−	0.761051i	$-0.724684\pi$
$859$	−5.68053	+	3.79561i	−0.193817	+	0.129505i	0.454875	+	0.890555i	$0.349684\pi$
$860$	0.0972698	−	0.362304i	0.00331687	−	0.0123545i
$861$	−18.7974	+	3.55899i	−0.640614	+	0.121290i
$862$	3.24808	−	1.60078i	0.110630	−	0.0545230i
$863$			19.3617i			0.659080i	0.944142	+	0.329540i	$0.106894\pi$
$863$			19.3617i			0.659080i	−0.944142	+	0.329540i	$0.893106\pi$
$864$	25.8701	−	13.9548i	0.880120	−	0.474751i
$865$			7.42187i			0.252351i
$866$	8.05480	+	16.3436i	0.273713	+	0.555379i
$867$	−49.7058	+	9.41101i	−1.68810	+	0.319615i
$868$	24.2848	−	14.0049i	0.824280	−	0.475359i
$869$	−30.0893	+	20.1050i	−1.02071	+	0.682016i
$870$	−2.60566	−	3.46322i	−0.0883400	−	0.117414i
$871$	−1.37977	−	0.571521i	−0.0467519	−	0.0193653i
$872$	−18.2009	−	0.0134038i	−0.616361	−	0.000453909i
$873$	−14.7378	−	37.5249i	−0.498800	−	1.27003i
$874$	−3.23831	+	5.60574i	−0.109537	+	0.189617i
$875$	−2.57842	+	12.9626i	−0.0871666	+	0.438216i
$876$	1.69437	−	22.4978i	0.0572474	−	0.760129i
$877$	−23.7788	+	35.5874i	−0.802952	+	1.20170i	0.173259	+	0.984876i	$0.444570\pi$
$877$	−23.7788	+	35.5874i	−0.802952	+	1.20170i	−0.976210	+	0.216826i	$0.930430\pi$
$878$	2.36006	+	36.1435i	0.0796481	+	1.21978i
$879$	11.8559	+	12.0768i	0.399888	+	0.407339i
$880$	−4.83395	+	3.70169i	−0.162952	+	0.124784i
$881$	−19.0308	+	19.0308i	−0.641164	+	0.641164i	−0.950842	−	0.309678i	$-0.899779\pi$
$881$	−19.0308	+	19.0308i	−0.641164	+	0.641164i	0.309678	+	0.950842i	$0.399779\pi$
$882$	19.2265	+	17.5082i	0.647392	+	0.589530i
$883$	27.3393	−	40.9161i	0.920039	−	1.37694i	−0.00619217	−	0.999981i	$-0.501971\pi$
$883$	27.3393	−	40.9161i	0.920039	−	1.37694i	0.926231	−	0.376955i	$-0.123029\pi$
$884$	12.9574	−	26.2424i	0.435803	−	0.882629i
$885$	−1.24068	+	5.94979i	−0.0417051	+	0.200000i
$886$	22.6092	−	6.05218i	0.759572	−	0.203327i
$887$	20.9269	−	8.66822i	0.702657	−	0.291050i	−0.00260497	−	0.999997i	$-0.500829\pi$
$887$	20.9269	−	8.66822i	0.702657	−	0.291050i	0.705262	+	0.708946i	$0.250829\pi$
$888$	−51.2118	−	10.7183i	−1.71856	−	0.359684i
$889$	−7.18722	−	2.97704i	−0.241051	−	0.0998468i
$890$	0.357670	−	2.71163i	0.0119891	−	0.0908940i
$891$	−31.5391	+	19.4293i	−1.05660	+	0.650905i
$892$	−33.6646	−	25.8580i	−1.12717	−	0.865790i
$893$	26.7145	−	5.31385i	0.893967	−	0.177821i
$894$	−8.56003	+	24.4533i	−0.286290	+	0.817841i
$895$		−	2.72367i		−	0.0910421i
$896$	18.0681	+	36.7978i	0.603613	+	1.22933i
$897$	−3.10626	−	0.0286719i	−0.103715	−	0.000957327i
$898$	12.7939	−	37.6593i	0.426939	−	1.25671i
$899$	−3.61076	−	18.1525i	−0.120425	−	0.605420i
$900$	−18.1988	+	22.8088i	−0.606627	+	0.760294i
$901$	25.4418	−	16.9996i	0.847588	−	0.566340i
$902$	17.5916	+	2.32037i	0.585735	+	0.0772598i
$903$	2.92946	+	1.24522i	0.0974865	+	0.0414385i
$904$	−22.7252	−	4.53772i	−0.755829	−	0.150922i
$905$	−0.238327	−	0.575372i	−0.00792226	−	0.0191260i
$906$	11.2896	+	43.7889i	0.375072	+	1.45479i
$907$	−6.97952	+	35.0884i	−0.231751	+	1.16509i	0.673162	+	0.739495i	$0.264936\pi$
$907$	−6.97952	+	35.0884i	−0.231751	+	1.16509i	−0.904913	+	0.425596i	$0.860064\pi$
$908$	22.7460	+	11.2310i	0.754852	+	0.372713i
$909$	−10.8019	+	15.5375i	−0.358278	+	0.515346i
$910$	3.06647	+	2.69055i	0.101652	+	0.0891909i
$911$	−0.963194	−	0.963194i	−0.0319120	−	0.0319120i	0.690971	−	0.722883i	$-0.257183\pi$
$911$	−0.963194	−	0.963194i	−0.0319120	−	0.0319120i	−0.722883	+	0.690971i	$0.757183\pi$
$912$	37.6902	+	5.35411i	1.24805	+	0.177292i
$913$	−9.47472	+	9.47472i	−0.313567	+	0.313567i
$914$	−30.8473	+	2.01424i	−1.02034	+	0.0666250i
$915$	4.48527	+	3.05722i	0.148278	+	0.101068i
$916$	3.12619	−	47.3402i	0.103292	−	1.56417i
$917$	68.8488	+	13.6949i	2.27359	+	0.452245i
$918$	26.1746	−	42.5452i	0.863890	−	1.40420i
$919$	−28.4317	+	11.7768i	−0.937874	+	0.388480i	−0.798660	−	0.601782i	$-0.794457\pi$
$919$	−28.4317	+	11.7768i	−0.937874	+	0.388480i	−0.139214	+	0.990262i	$0.544457\pi$
$920$	−0.871422		0.000641745i	−0.0287299		2.11577e-5i
$921$	−18.4011	−	7.82175i	−0.606338	−	0.257735i
$922$	14.3385	−	10.9967i	0.472214	−	0.362158i
$923$	9.41297	+	14.0875i	0.309832	+	0.463696i
$924$	−25.3952	−	44.9902i	−0.835441	−	1.48007i
$925$	50.9418	−	10.1329i	1.67495	−	0.333169i
$926$	−25.2278	+	12.4333i	−0.829038	+	0.408584i
$927$	14.7205	+	0.271774i	0.483484	+	0.00892623i
$928$	26.8376	−	3.49973i	0.880986	−	0.114884i
$929$	−39.5474			−1.29751			−0.648755	−	0.760998i	$-0.724710\pi$
$929$	−39.5474			−1.29751			−0.648755	+	0.760998i	$0.724710\pi$
$930$	3.15736	−	1.52002i	0.103534	−	0.0498434i
$931$	6.57024	+	33.0308i	0.215331	+	1.08254i
$932$	−18.1785	−	4.88048i	−0.595457	−	0.159866i
$933$	−3.53596	−	5.39916i	−0.115762	−	0.176761i
$934$	−17.5749	+	13.4788i	−0.575069	+	0.441041i
$935$	−3.95954	+	9.55917i	−0.129491	+	0.312618i
$936$	6.66511	+	17.0073i	0.217856	+	0.555899i
$937$	−3.50058	−	8.45115i	−0.114359	−	0.276087i	0.856329	−	0.516431i	$-0.172740\pi$
$937$	−3.50058	−	8.45115i	−0.114359	−	0.276087i	−0.970688	+	0.240344i	$0.922740\pi$
$938$	1.77823	−	3.07824i	0.0580613	−	0.100508i
$939$	−4.60281	+	22.0731i	−0.150207	+	0.720328i
$940$	2.41606	+	2.75772i	0.0788033	+	0.0899470i
$941$	24.2081	+	16.1753i	0.789160	+	0.527300i	0.883607	−	0.468230i	$-0.155108\pi$
$941$	24.2081	+	16.1753i	0.789160	+	0.527300i	−0.0944465	+	0.995530i	$0.530108\pi$
$942$	2.83966	+	50.6785i	0.0925211	+	1.65120i
$943$	1.79579	+	1.79579i	0.0584789	+	0.0584789i
$944$	−28.5111	−	25.0531i	−0.927957	−	0.815410i
$945$	4.78521	+	5.05783i	0.155663	+	0.164531i
$946$	−2.21917	−	1.94713i	−0.0721515	−	0.0633066i
$947$	−19.9307	−	13.3172i	−0.647660	−	0.432752i	0.187873	−	0.982193i	$-0.439841\pi$
$947$	−19.9307	−	13.3172i	−0.647660	−	0.432752i	−0.835532	+	0.549441i	$0.814841\pi$
$948$	9.50928	+	28.9345i	0.308847	+	0.939749i
$949$	13.7513	+	2.73530i	0.446385	+	0.0887916i
$950$	−36.5055	+	9.77202i	−1.18440	+	0.317046i
$951$	12.4696	+	30.9080i	0.404353	+	1.00226i
$952$	57.8964	+	38.7469i	1.87643	+	1.25579i
$953$	3.75063	−	9.05482i	0.121495	−	0.293314i	−0.851418	−	0.524488i	$-0.824257\pi$
$953$	3.75063	−	9.05482i	0.121495	−	0.293314i	0.972912	+	0.231174i	$0.0742566\pi$
$954$	−2.84647	+	18.8844i	−0.0921579	+	0.611404i
$955$	0.0817036	+	0.122278i	0.00264387	+	0.00395683i
$956$	41.5054	−	5.44357i	1.34238	−	0.176058i
$957$	−33.5128	+	6.34513i	−1.08332	+	0.205109i
$958$	9.45265	−	27.8242i	0.305401	−	0.898958i
$959$	−62.5303			−2.01921
$960$	1.91019	+	4.75492i	0.0616511	+	0.153464i
$961$	−16.0354			−0.517271
$962$	10.4591	−	30.7867i	0.337215	−	0.992604i
$963$	3.80951	+	21.1887i	0.122760	+	0.682796i
$964$	−1.19787	−	9.13334i	−0.0385806	−	0.294165i
$965$	−0.928888	−	1.39018i	−0.0299020	−	0.0447515i
$966$	1.03457	−	7.32157i	0.0332868	−	0.235568i
$967$	−1.50394	+	3.63082i	−0.0483633	+	0.116759i	−0.946215	−	0.323539i	$-0.895127\pi$
$967$	−1.50394	+	3.63082i	−0.0483633	+	0.116759i	0.897852	+	0.440298i	$0.145127\pi$
$968$	3.26604	+	16.4829i	0.104975	+	0.529782i
$969$	59.9952	−	24.2045i	1.92732	−	0.777561i
$970$	6.78917	−	1.81737i	0.217987	−	0.0583521i
$971$	24.7990	+	4.93283i	0.795838	+	0.158302i	0.576232	−	0.817286i	$-0.304523\pi$
$971$	24.7990	+	4.93283i	0.795838	+	0.158302i	0.219607	+	0.975589i	$0.429523\pi$
$972$	8.63413	+	29.9575i	0.276940	+	0.960887i
$973$	34.0046	+	22.7211i	1.09014	+	0.728406i
$974$	−35.1676	−	30.8564i	−1.12684	−	0.988703i
$975$	−12.7033	−	12.9400i	−0.406833	−	0.414413i
$976$	−30.4163	+	14.9626i	−0.973603	+	0.478940i
$977$	39.4701	+	39.4701i	1.26276	+	1.26276i	0.949750	+	0.313011i	$0.101338\pi$
$977$	39.4701	+	39.4701i	1.26276	+	1.26276i	0.313011	+	0.949750i	$0.398662\pi$
$978$	41.1321	−	2.30475i	1.31526	−	0.0736978i
$979$	−17.8976	−	11.9588i	−0.572010	−	0.382205i
$980$	−3.40975	+	2.98731i	−0.108921	+	0.0954262i
$981$	4.11508	−	18.8613i	0.131385	−	0.602196i
$982$	−1.15887	+	2.00609i	−0.0369812	+	0.0640170i
$983$	−11.8108	−	28.5137i	−0.376705	−	0.909446i	−0.992579	−	0.121601i	$-0.961197\pi$
$983$	−11.8108	−	28.5137i	−0.376705	−	0.909446i	0.615874	−	0.787844i	$-0.288803\pi$
$984$	5.85217	−	13.7395i	0.186560	−	0.437998i
$985$	−1.47119	+	3.55177i	−0.0468761	+	0.113169i
$986$	36.4963	−	27.9904i	1.16228	−	0.891396i
$987$	−26.0258	+	17.0446i	−0.828412	+	0.542534i
$988$	−6.13422	+	22.8483i	−0.195156	+	0.726903i
$989$	−0.0824357	−	0.414432i	−0.00262130	−	0.0131782i
$990$	−2.74738	−	5.84424i	−0.0873175	−	0.185742i
$991$	11.3731			0.361278			0.180639	−	0.983549i	$-0.442183\pi$
$991$	11.3731			0.361278			0.180639	+	0.983549i	$0.442183\pi$
$992$	−1.45802	+	21.8344i	−0.0462922	+	0.693243i
$993$	−8.44782	−	0.0779764i	−0.268083	−	0.00247451i
$994$	−36.1753	+	17.8286i	−1.14741	+	0.565490i
$995$	9.31120	−	1.85211i	0.295185	−	0.0587159i
$996$	5.54343	+	9.82075i	0.175650	+	0.311182i
$997$	−24.0564	−	36.0029i	−0.761874	−	1.14022i	−0.986175	−	0.165705i	$-0.947010\pi$
$997$	−24.0564	−	36.0029i	−0.761874	−	1.14022i	0.224302	−	0.974520i	$-0.427990\pi$
$998$	−5.29163	+	4.05835i	−0.167504	+	0.128465i
$999$	22.6485	−	50.6633i	0.716567	−	1.60292i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.27	yes	240
3.2	odd	2	inner	192.2.s.a.107.4	✓	240
4.3	odd	2		768.2.s.a.335.13		240
12.11	even	2		768.2.s.a.335.16		240
64.3	odd	16	inner	192.2.s.a.131.4	yes	240
64.61	even	16		768.2.s.a.431.16		240
192.125	odd	16		768.2.s.a.431.13		240
192.131	even	16	inner	192.2.s.a.131.27	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.4	✓	240	3.2	odd	2	inner
192.2.s.a.107.27	yes	240	1.1	even	1	trivial
192.2.s.a.131.4	yes	240	64.3	odd	16	inner
192.2.s.a.131.27	yes	240	192.131	even	16	inner
768.2.s.a.335.13		240	4.3	odd	2
768.2.s.a.335.16		240	12.11	even	2
768.2.s.a.431.13		240	192.125	odd	16
768.2.s.a.431.16		240	64.61	even	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.33905 + 0.454913i) q^{2} +(0.322212 + 1.70182i) q^{3} +(1.58611 + 1.21830i) q^{4} +(-0.205456 - 0.307487i) q^{5} +(-0.342720 + 2.42540i) q^{6} +(1.38662 - 3.34760i) q^{7} +(1.56966 + 2.35291i) q^{8} +(-2.79236 + 1.09669i) q^{9} +O(q^{10})\)	\(q+(1.33905 + 0.454913i) q^{2} +(0.322212 + 1.70182i) q^{3} +(1.58611 + 1.21830i) q^{4} +(-0.205456 - 0.307487i) q^{5} +(-0.342720 + 2.42540i) q^{6} +(1.38662 - 3.34760i) q^{7} +(1.56966 + 2.35291i) q^{8} +(-2.79236 + 1.09669i) q^{9} +(-0.135236 - 0.505205i) q^{10} +(-4.03685 - 0.802979i) q^{11} +(-1.56226 + 3.09182i) q^{12} +(-1.78994 - 1.19600i) q^{13} +(3.37962 - 3.85181i) q^{14} +(0.457086 - 0.448725i) q^{15} +(1.03148 + 3.86472i) q^{16} +(4.80663 + 4.80663i) q^{17} +(-4.23801 + 0.198247i) q^{18} +(-4.56869 - 3.05270i) q^{19} +(0.0487360 - 0.738016i) q^{20} +(6.14379 + 1.28114i) q^{21} +(-5.04025 - 2.91164i) q^{22} +(-0.318818 - 0.769695i) q^{23} +(-3.49845 + 3.42941i) q^{24} +(1.86108 - 4.49305i) q^{25} +(-1.85275 - 2.41577i) q^{26} +(-2.76610 - 4.39871i) q^{27} +(6.27772 - 3.62033i) q^{28} +(-0.933395 - 4.69249i) q^{29} +(0.816192 - 0.392931i) q^{30} +3.86841 q^{31} +(-0.376904 + 5.64428i) q^{32} +(0.0658005 - 7.12870i) q^{33} +(4.24972 + 8.62292i) q^{34} +(-1.31423 + 0.261417i) q^{35} +(-5.76509 - 1.66246i) q^{36} +(5.93353 + 8.88016i) q^{37} +(-4.72899 - 6.16608i) q^{38} +(1.45863 - 3.43152i) q^{39} +(0.400993 - 0.966069i) q^{40} +(-2.81632 + 1.16656i) q^{41} +(7.64403 + 4.51039i) q^{42} +(0.497451 + 0.0989491i) q^{43} +(-5.42461 - 6.19171i) q^{44} +(0.910926 + 0.633292i) q^{45} +(-0.0767692 - 1.17569i) q^{46} +(-3.50520 + 3.50520i) q^{47} +(-6.24468 + 3.00065i) q^{48} +(-4.33396 - 4.33396i) q^{49} +(4.53602 - 5.16978i) q^{50} +(-6.63125 + 9.72877i) q^{51} +(-1.38195 - 4.07768i) q^{52} +(0.878174 - 4.41488i) q^{53} +(-1.70292 - 7.14843i) q^{54} +(0.582490 + 1.40626i) q^{55} +(10.0531 - 1.99199i) q^{56} +(3.72305 - 8.75870i) q^{57} +(0.884813 - 6.70810i) q^{58} +(-7.88950 + 5.27159i) q^{59} +(1.27167 - 0.154858i) q^{60} +(1.65326 + 8.31151i) q^{61} +(5.17999 + 1.75979i) q^{62} +(-0.200655 + 10.8684i) q^{63} +(-3.07235 + 7.38652i) q^{64} +0.796110i q^{65} +(3.33105 - 9.51575i) q^{66} +(0.680415 - 0.135343i) q^{67} +(1.76791 + 13.4798i) q^{68} +(1.20715 - 0.790575i) q^{69} +(-1.87875 - 0.247811i) q^{70} +(-7.27127 - 3.01186i) q^{71} +(-6.96346 - 4.84873i) q^{72} +(-6.01717 + 2.49239i) q^{73} +(3.90560 + 14.5902i) q^{74} +(8.24601 + 1.71950i) q^{75} +(-3.52733 - 10.4080i) q^{76} +(-8.28563 + 12.4003i) q^{77} +(3.51422 - 3.93142i) q^{78} +(6.21702 - 6.21702i) q^{79} +(0.976426 - 1.11120i) q^{80} +(6.59453 - 6.12472i) q^{81} +(-4.30188 + 0.280899i) q^{82} +(1.80864 - 2.70682i) q^{83} +(8.18390 + 9.51701i) q^{84} +(0.490425 - 2.46553i) q^{85} +(0.621098 + 0.358794i) q^{86} +(7.68501 - 3.10045i) q^{87} +(-4.44713 - 10.7587i) q^{88} +(4.83165 + 2.00134i) q^{89} +(0.931683 + 1.26240i) q^{90} +(-6.48570 + 4.33361i) q^{91} +(0.432040 - 1.60924i) q^{92} +(1.24645 + 6.58333i) q^{93} +(-6.28820 + 3.09908i) q^{94} +2.03201i q^{95} +(-9.72698 + 1.17724i) q^{96} +13.4384i q^{97} +(-3.83182 - 7.77496i) q^{98} +(12.1529 - 2.18498i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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