LMFDB - Embedded newform 192.2.s.a.107.4

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			107.4
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.33905 - 0.454913i) q^{2} +(-0.353572 - 1.69558i) q^{3} +(1.58611 + 1.21830i) q^{4} +(0.205456 + 0.307487i) q^{5} +(-0.297891 + 2.43131i) q^{6} +(1.38662 - 3.34760i) q^{7} +(-1.56966 - 2.35291i) q^{8} +(-2.74997 + 1.19902i) q^{9} +O(q^{10})$	\(q+(-1.33905 - 0.454913i) q^{2} +(-0.353572 - 1.69558i) q^{3} +(1.58611 + 1.21830i) q^{4} +(0.205456 + 0.307487i) q^{5} +(-0.297891 + 2.43131i) q^{6} +(1.38662 - 3.34760i) q^{7} +(-1.56966 - 2.35291i) q^{8} +(-2.74997 + 1.19902i) q^{9} +(-0.135236 - 0.505205i) q^{10} +(4.03685 + 0.802979i) q^{11} +(1.50492 - 3.12013i) q^{12} +(-1.78994 - 1.19600i) q^{13} +(-3.37962 + 3.85181i) q^{14} +(0.448725 - 0.457086i) q^{15} +(1.03148 + 3.86472i) q^{16} +(-4.80663 - 4.80663i) q^{17} +(4.22780 - 0.354545i) q^{18} +(-4.56869 - 3.05270i) q^{19} +(-0.0487360 + 0.738016i) q^{20} +(-6.16639 - 1.16751i) q^{21} +(-5.04025 - 2.91164i) q^{22} +(0.318818 + 0.769695i) q^{23} +(-3.43455 + 3.49340i) q^{24} +(1.86108 - 4.49305i) q^{25} +(1.85275 + 2.41577i) q^{26} +(3.00534 + 4.23886i) q^{27} +(6.27772 - 3.62033i) q^{28} +(0.933395 + 4.69249i) q^{29} +(-0.808800 + 0.407930i) 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} +(-5.82252 - 1.44853i) q^{36} +(5.93353 + 8.88016i) q^{37} +(4.72899 + 6.16608i) q^{38} +(-1.39504 + 3.45786i) q^{39} +(0.400993 - 0.966069i) q^{40} +(2.81632 - 1.16656i) q^{41} +(7.72599 + 4.36852i) q^{42} +(0.497451 + 0.0989491i) q^{43} +(5.42461 + 6.19171i) q^{44} +(-0.933682 - 0.599236i) q^{45} +(-0.0767692 - 1.17569i) q^{46} +(3.50520 - 3.50520i) q^{47} +(6.18823 - 3.11541i) q^{48} +(-4.33396 - 4.33396i) q^{49} +(-4.53602 + 5.16978i) q^{50} +(-6.45054 + 9.84952i) q^{51} +(-1.38195 - 4.07768i) q^{52} +(-0.878174 + 4.41488i) q^{53} +(-2.09599 - 7.04321i) q^{54} +(0.582490 + 1.40626i) q^{55} +(-10.0531 + 1.99199i) q^{56} +(-3.56074 + 8.82593i) q^{57} +(0.884813 - 6.70810i) q^{58} +(7.88950 - 5.27159i) q^{59} +(1.26860 - 0.178306i) 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} +(-3.15483 + 9.57562i) q^{66} +(0.680415 - 0.135343i) q^{67} +(-1.76791 - 13.4798i) q^{68} +(1.19235 - 0.812723i) q^{69} +(-1.87875 - 0.247811i) q^{70} +(7.27127 + 3.01186i) q^{71} +(7.13769 + 4.58839i) q^{72} +(-6.01717 + 2.49239i) q^{73} +(-3.90560 - 14.5902i) q^{74} +(-8.27634 - 1.56700i) q^{75} +(-3.52733 - 10.4080i) q^{76} +(8.28563 - 12.4003i) q^{77} +(3.44105 - 3.99562i) q^{78} +(6.21702 - 6.21702i) q^{79} +(-0.976426 + 1.11120i) q^{80} +(6.12472 - 6.59453i) q^{81} +(-4.30188 + 0.280899i) q^{82} +(-1.80864 + 2.70682i) q^{83} +(-8.35819 - 9.36432i) q^{84} +(0.490425 - 2.46553i) q^{85} +(-0.621098 - 0.358794i) q^{86} +(7.62647 - 3.24178i) q^{87} +(-4.44713 - 10.7587i) q^{88} +(-4.83165 - 2.00134i) q^{89} +(0.977646 + 1.22715i) q^{90} +(-6.48570 + 4.33361i) q^{91} +(-0.432040 + 1.60924i) q^{92} +(-1.36776 - 6.55919i) q^{93} +(-6.28820 + 3.09908i) q^{94} -2.03201i q^{95} +(-9.70359 + 1.35659i) q^{96} +13.4384i q^{97} +(3.83182 + 7.77496i) q^{98} +(-12.0640 + 2.63208i) 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
$3$	−0.353572	−	1.69558i	−0.204135	−	0.978943i
$3$	−0.353572	−	1.69558i	−0.204135	−	0.978943i
$4$	1.58611	+	1.21830i	0.793054	+	0.609151i
$5$	0.205456	+	0.307487i	0.0918829	+	0.137512i	0.874563	−	0.484911i	$-0.161148\pi$
$5$	0.205456	+	0.307487i	0.0918829	+	0.137512i	−0.782681	+	0.622424i	$0.786148\pi$
$6$	−0.297891	+	2.43131i	−0.121613	+	0.992578i
$7$	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
$9$	−2.74997	+	1.19902i	−0.916658	+	0.399672i
$10$	−0.135236	−	0.505205i	−0.0427655	−	0.159760i
$11$	4.03685	+	0.802979i	1.21715	+	0.242107i	0.761569	−	0.648084i	$-0.224430\pi$
$11$	4.03685	+	0.802979i	1.21715	+	0.242107i	0.455586	+	0.890192i	$0.349430\pi$
$12$	1.50492	−	3.12013i	0.434434	−	0.900704i
$13$	−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
$15$	0.448725	−	0.457086i	0.115860	−	0.118019i
$16$	1.03148	+	3.86472i	0.257870	+	0.966179i
$17$	−4.80663	−	4.80663i	−1.16578	−	1.16578i	−0.983189	−	0.182591i	$-0.941552\pi$
$17$	−4.80663	−	4.80663i	−1.16578	−	1.16578i	−0.182591	−	0.983189i	$-0.558448\pi$
$18$	4.22780	−	0.354545i	0.996502	−	0.0835670i
$19$	−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
$21$	−6.16639	−	1.16751i	−1.34562	−	0.254771i
$22$	−5.04025	−	2.91164i	−1.07459	−	0.620764i
$23$	0.318818	+	0.769695i	0.0664782	+	0.160492i	0.953627	−	0.300991i	$-0.0973174\pi$
$23$	0.318818	+	0.769695i	0.0664782	+	0.160492i	−0.887149	+	0.461483i	$0.847317\pi$
$24$	−3.43455	+	3.49340i	−0.701075	+	0.713087i
$25$	1.86108	−	4.49305i	0.372216	−	0.898609i
$26$	1.85275	+	2.41577i	0.363353	+	0.473772i
$27$	3.00534	+	4.23886i	0.578378	+	0.815769i
$28$	6.27772	−	3.62033i	1.18638	−	0.684179i
$29$	0.933395	+	4.69249i	0.173327	+	0.871374i	0.965365	+	0.260903i	$0.0840201\pi$
$29$	0.933395	+	4.69249i	0.173327	+	0.871374i	−0.792038	+	0.610472i	$0.790980\pi$
$30$	−0.808800	+	0.407930i	−0.147666	+	0.0744775i
$31$	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
$36$	−5.82252	−	1.44853i	−0.970420	−	0.241421i
$37$	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
$39$	−1.39504	+	3.45786i	−0.223385	+	0.553701i
$40$	0.400993	−	0.966069i	0.0634025	−	0.152749i
$41$	2.81632	−	1.16656i	0.439836	−	0.182186i	−0.151766	−	0.988416i	$-0.548496\pi$
$41$	2.81632	−	1.16656i	0.439836	−	0.182186i	0.591601	+	0.806231i	$0.298496\pi$
$42$	7.72599	+	4.36852i	1.19215	+	0.674078i
$43$	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
$45$	−0.933682	−	0.599236i	−0.139185	−	0.0893288i
$46$	−0.0767692	−	1.17569i	−0.0113190	−	0.173347i
$47$	3.50520	−	3.50520i	0.511286	−	0.511286i	−0.403634	−	0.914920i	$-0.632253\pi$
$47$	3.50520	−	3.50520i	0.511286	−	0.511286i	0.914920	+	0.403634i	$0.132253\pi$
$48$	6.18823	−	3.11541i	0.893194	−	0.449671i
$49$	−4.33396	−	4.33396i	−0.619137	−	0.619137i
$50$	−4.53602	+	5.16978i	−0.641491	+	0.731118i
$51$	−6.45054	+	9.84952i	−0.903256	+	1.37921i
$52$	−1.38195	−	4.07768i	−0.191642	−	0.565472i
$53$	−0.878174	+	4.41488i	−0.120626	+	0.606430i	0.872425	+	0.488748i	$0.162546\pi$
$53$	−0.878174	+	4.41488i	−0.120626	+	0.606430i	−0.993051	+	0.117682i	$0.962454\pi$
$54$	−2.09599	−	7.04321i	−0.285228	−	0.958460i
$55$	0.582490	+	1.40626i	0.0785429	+	0.189619i
$56$	−10.0531	+	1.99199i	−1.34340	+	0.266191i
$57$	−3.56074	+	8.82593i	−0.471631	+	1.16902i
$58$	0.884813	−	6.70810i	0.116182	−	0.880816i
$59$	7.88950	−	5.27159i	1.02712	−	0.686303i	0.0766352	−	0.997059i	$-0.475582\pi$
$59$	7.88950	−	5.27159i	1.02712	−	0.686303i	0.950490	+	0.310756i	$0.100582\pi$
$60$	1.26860	−	0.178306i	0.163775	−	0.0230192i
$61$	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
$66$	−3.15483	+	9.57562i	−0.388332	+	1.17868i
$67$	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
$69$	1.19235	−	0.812723i	0.143542	−	0.0978404i
$70$	−1.87875	−	0.247811i	−0.224553	−	0.0296191i
$71$	7.27127	+	3.01186i	0.862941	+	0.357442i	0.769857	−	0.638216i	$-0.220327\pi$
$71$	7.27127	+	3.01186i	0.862941	+	0.357442i	0.0930843	+	0.995658i	$0.470327\pi$
$72$	7.13769	+	4.58839i	0.841185	+	0.540747i
$73$	−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
$75$	−8.27634	−	1.56700i	−0.955670	−	0.180941i
$76$	−3.52733	−	10.4080i	−0.404613	−	1.19388i
$77$	8.28563	−	12.4003i	0.944235	−	1.41315i
$78$	3.44105	−	3.99562i	0.389623	−	0.452415i
$79$	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
$81$	6.12472	−	6.59453i	0.680524	−	0.732726i
$82$	−4.30188	+	0.280899i	−0.475063	+	0.0310201i
$83$	−1.80864	+	2.70682i	−0.198524	+	0.297112i	−0.917353	−	0.398075i	$-0.869678\pi$
$83$	−1.80864	+	2.70682i	−0.198524	+	0.297112i	0.718829	+	0.695187i	$0.244678\pi$
$84$	−8.35819	−	9.36432i	−0.911953	−	1.02173i
$85$	0.490425	−	2.46553i	0.0531940	−	0.267424i
$86$	−0.621098	−	0.358794i	−0.0669747	−	0.0386898i
$87$	7.62647	−	3.24178i	0.817644	−	0.347555i
$88$	−4.44713	−	10.7587i	−0.474066	−	1.14688i
$89$	−4.83165	−	2.00134i	−0.512154	−	0.212141i	0.111613	−	0.993752i	$-0.464398\pi$
$89$	−4.83165	−	2.00134i	−0.512154	−	0.212141i	−0.623767	+	0.781611i	$0.714398\pi$
$90$	0.977646	+	1.22715i	0.103053	+	0.129353i
$91$	−6.48570	+	4.33361i	−0.679887	+	0.454286i
$92$	−0.432040	+	1.60924i	−0.0450433	+	0.167774i
$93$	−1.36776	−	6.55919i	−0.141830	−	0.680157i
$94$	−6.28820	+	3.09908i	−0.648578	+	0.319645i
$95$		−	2.03201i		−	0.208480i
$96$	−9.70359	+	1.35659i	−0.990369	+	0.138456i
$97$			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
$99$	−12.0640	+	2.63208i	−1.21248	+	0.264534i
$100$	8.42576	−	4.85910i	0.842576	−	0.485910i
$101$	−5.24475	+	3.50443i	−0.521872	+	0.348704i	−0.788439	−	0.615113i	$-0.789111\pi$
$101$	−5.24475	+	3.50443i	−0.521872	+	0.348704i	0.266567	+	0.963816i	$0.414111\pi$
$102$	13.1183	−	10.2546i	1.29890	−	1.01535i
$103$	−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
$105$	−0.907930	−	2.13596i	−0.0886048	−	0.208448i
$106$	3.18430	−	5.51225i	0.309287	−	0.535397i
$107$	−1.40000	+	7.03825i	−0.135343	+	0.680414i	0.852219	+	0.523184i	$0.175256\pi$
$107$	−1.40000	+	7.03825i	−0.135343	+	0.680414i	−0.987562	+	0.157229i	$0.949744\pi$
$108$	−0.397414	+	10.3847i	−0.0382412	+	0.999269i
$109$	−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
$111$	12.9591	−	13.2005i	1.23002	−	1.25294i
$112$	14.3678	+	1.90591i	1.35763	+	0.180092i
$113$	5.79345	−	5.79345i	0.545002	−	0.545002i	−0.379989	−	0.924991i	$-0.624072\pi$
$113$	5.79345	−	5.79345i	0.545002	−	0.545002i	0.924991	+	0.379989i	$0.124072\pi$
$114$	8.78303	−	10.1985i	0.822607	−	0.955180i
$115$	−0.171168	+	0.256171i	−0.0159615	+	0.0238881i
$116$	−4.23641	+	8.57996i	−0.393341	+	0.796630i
$117$	6.35632	+	1.14280i	0.587642	+	0.105652i
$118$	−12.9625	+	3.46989i	−1.19330	+	0.319429i
$119$	−22.7557	+	9.42571i	−2.08601	+	0.864053i
$120$	−1.77983	−	0.338340i	−0.162475	−	0.0308861i
$121$	5.48868	+	2.27348i	0.498971	+	0.206680i
$122$	1.56721	−	11.8816i	0.141889	−	1.07571i
$123$	−2.97376	−	4.36283i	−0.268135	−	0.393383i
$124$	6.13572	+	4.71289i	0.551004	+	0.423230i
$125$	3.57745	−	0.711600i	0.319977	−	0.0636474i
$126$	4.67548	−	14.6446i	0.416525	−	1.30465i
$127$		−	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	$-0.741309\pi$
$131$	−3.77955	−	19.0011i	−0.330221	−	1.66013i	0.357318	−	0.933983i	$-0.383691\pi$
$132$	8.58054	−	11.3871i	0.746840	−	0.991116i
$133$	−16.5543	+	11.0612i	−1.43544	+	0.959129i
$134$	−0.972680	−	0.128299i	−0.0840267	−	0.0110833i
$135$	−0.685929	+	1.79500i	−0.0590353	+	0.154489i
$136$	−3.76480	+	18.8543i	−0.322829	+	1.61675i
$137$	6.60407	+	15.9436i	0.564224	+	1.36216i	0.906360	+	0.422507i	$0.138850\pi$
$137$	6.60407	+	15.9436i	0.564224	+	1.36216i	−0.342136	+	0.939650i	$0.611150\pi$
$138$	−1.96634	+	0.545860i	−0.167386	+	0.0464667i
$139$	−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
$141$	−7.18268	−	4.70400i	−0.604891	−	0.396149i
$142$	−8.36646	−	7.34083i	−0.702098	−	0.616028i
$143$	−6.26536	−	6.26536i	−0.523935	−	0.523935i
$144$	−7.47041	−	9.39111i	−0.622534	−	0.782593i
$145$	−1.25111	+	1.25111i	−0.103899	+	0.103899i
$146$	9.19111	−	0.600151i	0.760661	−	0.0496689i
$147$	−5.81621	+	8.88094i	−0.479713	+	0.732487i
$148$	−1.40748	+	21.3137i	−0.115695	+	1.75198i
$149$	−10.3738	−	2.06347i	−0.849853	−	0.169046i	−0.249097	−	0.968479i	$-0.580134\pi$
$149$	−10.3738	−	2.06347i	−0.849853	−	0.169046i	−0.600756	+	0.799432i	$0.705134\pi$
$150$	10.3696	+	5.86330i	0.846673	+	0.478736i
$151$	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
$153$	18.9814	+	7.45489i	1.53455	+	0.602692i
$154$	−16.7359	+	12.8354i	−1.34862	+	1.03431i
$155$	0.794789	+	1.18949i	0.0638390	+	0.0955418i
$156$	−6.42540	+	3.78496i	−0.514444	+	0.303039i
$157$	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
$162$	−11.2012	+	6.04419i	−0.880052	+	0.474877i
$163$	−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
$165$	2.17846	−	1.48487i	0.169593	−	0.115597i
$166$	3.65323	−	2.80179i	0.283545	−	0.217461i
$167$	−5.55810	+	13.4184i	−0.430099	+	1.03835i	0.549157	+	0.835720i	$0.314949\pi$
$167$	−5.55810	+	13.4184i	−0.430099	+	1.03835i	−0.979255	+	0.202631i	$0.935051\pi$
$168$	6.93208	+	16.3415i	0.534821	+	1.26078i
$169$	−3.20141	−	7.72889i	−0.246262	−	0.594530i
$170$	−1.77830	+	3.07837i	−0.136390	+	0.236100i
$171$	16.2240	+	2.91692i	1.24068	+	0.223062i
$172$	0.668461	+	0.762989i	0.0509697	+	0.0581774i
$173$	16.6870	+	11.1499i	1.26869	+	0.847713i	0.993517	−	0.113681i	$-0.0362641\pi$
$173$	16.6870	+	11.1499i	1.26869	+	0.847713i	0.275175	+	0.961394i	$0.411264\pi$
$174$	−11.6870	+	0.871522i	−0.885986	+	0.0660699i
$175$	−12.4603	−	12.4603i	−0.941911	−	0.941911i
$176$	1.06065	+	16.4295i	0.0799493	+	1.23842i
$177$	−11.7279	−	11.5134i	−0.881523	−	0.865398i
$178$	5.55939	+	4.87787i	0.416694	+	0.365612i
$179$	−6.12378	−	4.09178i	−0.457713	−	0.305834i	0.305255	−	0.952271i	$-0.401258\pi$
$179$	−6.12378	−	4.09178i	−0.457713	−	0.305834i	−0.762968	+	0.646437i	$0.776258\pi$
$180$	−0.750870	−	2.08796i	−0.0559666	−	0.155627i
$181$	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
$183$	13.5083	−	5.74195i	0.998561	−	0.424457i
$184$	1.31059	−	1.95831i	0.0966177	−	0.144368i
$185$	−1.51145	+	3.64897i	−0.111124	+	0.268278i
$186$	−1.15236	+	9.40530i	−0.0844953	+	0.689630i
$187$	−15.5440	−	23.2633i	−1.13669	−	1.70118i
$188$	9.83002	−	1.28924i	0.716928	−	0.0940273i
$189$	18.3573	−	4.18298i	1.33530	−	0.304267i
$190$	−0.924388	+	2.72096i	−0.0670622	+	0.197400i
$191$	0.397669			0.0287743			0.0143872	−	0.999896i	$-0.495420\pi$
$191$	0.397669			0.0287743			0.0143872	+	0.999896i	$0.495420\pi$
$192$	13.6107	+	2.59775i	0.982269	+	0.187476i
$193$	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
$195$	−1.34987	+	0.281482i	−0.0966660	+	0.0201573i
$196$	−1.59406	−	12.1542i	−0.113862	−	0.868158i
$197$	5.77548	+	8.64361i	0.411486	+	0.615832i	0.978096	−	0.208154i	$-0.0667455\pi$
$197$	5.77548	+	8.64361i	0.411486	+	0.615832i	−0.566610	+	0.823986i	$0.691745\pi$
$198$	17.3517	+	1.96359i	1.23313	+	0.139546i
$199$	−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
$201$	−0.470060	−	1.10584i	−0.0331555	−	0.0780003i
$202$	8.61719	−	2.30670i	0.606303	−	0.162299i
$203$	17.0029	+	3.38208i	1.19337	+	0.237375i
$204$	−22.2309	+	7.76370i	−1.55648	+	0.543568i
$205$	0.937333	+	0.626306i	0.0654662	+	0.0437431i
$206$	5.21701	+	4.57746i	0.363487	+	0.318927i
$207$	−1.79962	−	1.73437i	−0.125082	−	0.120547i
$208$	2.77591	−	8.15127i	0.192475	−	0.565189i
$209$	−15.9919	−	15.9919i	−1.10618	−	1.10618i
$210$	0.244089	+	3.27318i	0.0168437	+	0.225871i
$211$	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
$213$	2.53593	−	13.3939i	0.173759	−	0.917737i
$214$	5.07645	−	8.78769i	0.347019	−	0.600714i
$215$	0.0717788	+	0.173289i	0.00489528	+	0.0118182i
$216$	5.25629	−	13.7248i	0.357645	−	0.933857i
$217$	5.36402	−	12.9499i	0.364133	−	0.879096i
$218$	7.22125	−	5.53824i	0.489084	−	0.375097i
$219$	6.35355	+	9.32134i	0.429333	+	0.629878i
$220$	−0.789351	+	2.94012i	−0.0532180	+	0.198223i
$221$	2.85486	+	14.3523i	0.192038	+	0.965443i
$222$	−23.3579	+	11.7809i	−1.56768	+	0.790684i
$223$	−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	−0.589804	−	0.807546i	$-0.700795\pi$
$227$	−12.4401	+	2.47449i	−0.825677	+	0.164237i	−0.235873	+	0.971784i	$0.575795\pi$
$228$	−16.4004	+	9.66083i	−1.08614	+	0.639804i
$229$	−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
$231$	−23.9553	−	9.66454i	−1.57614	−	0.635880i
$232$	9.57590	−	9.56180i	0.628688	−	0.627763i
$233$	8.69475	−	3.60148i	0.569612	−	0.235941i	−0.0792403	−	0.996856i	$-0.525249\pi$
$233$	8.69475	−	3.60148i	0.569612	−	0.235941i	0.648852	+	0.760915i	$0.275249\pi$
$234$	−7.99155	−	4.42184i	−0.522424	−	0.289065i
$235$	1.79797	+	0.357638i	0.117287	+	0.0233298i
$236$	18.9360	+	1.25047i	1.23263	+	0.0813985i
$237$	−12.7396	−	8.34329i	−0.827526	−	0.541955i
$238$	34.7589	−	2.26965i	2.25308	−	0.147119i
$239$	−14.8001	+	14.8001i	−0.957336	+	0.957336i	−0.999126	−	0.0417901i	$-0.986694\pi$
$239$	−14.8001	+	14.8001i	−0.957336	+	0.957336i	0.0417901	+	0.999126i	$0.486694\pi$
$240$	2.22936	+	1.26272i	0.143905	+	0.0815082i
$241$	−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
$243$	−13.3471	−	8.05330i	−0.856215	−	0.516620i
$244$	−7.50368	+	15.1971i	−0.480374	+	0.972897i
$245$	0.442197	−	2.22308i	0.0282510	−	0.142027i
$246$	1.99731	+	7.19485i	0.127344	+	0.458727i
$247$	4.52666	+	10.9283i	0.288024	+	0.695352i
$248$	−6.07208	−	9.10201i	−0.385577	−	0.577978i
$249$	5.22911	+	2.10964i	0.331381	+	0.133693i
$250$	−5.11410	−	0.674562i	−0.323444	−	0.0426630i
$251$	2.57927	−	1.72341i	0.162802	−	0.108781i	−0.471500	−	0.881866i	$-0.656287\pi$
$251$	2.57927	−	1.72341i	0.162802	−	0.108781i	0.634302	+	0.773085i	$0.281287\pi$
$252$	−12.9227	+	17.4829i	−0.814055	+	1.10132i
$253$	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	$-0.832504\pi$
$257$		−	16.1035i		−	1.00451i	0.864720	−	0.502255i	$-0.167496\pi$
$258$	−0.388762	+	1.17998i	−0.0242032	+	0.0734624i
$259$	37.9548	−	7.54968i	2.35840	−	0.469114i
$260$	0.969902	−	1.26272i	0.0601508	−	0.0783104i
$261$	−8.19319	−	11.7851i	−0.507146	−	0.729478i
$262$	−3.58283	+	27.1627i	−0.221348	+	1.67812i
$263$	−19.7460	−	8.17904i	−1.21759	−	0.504341i	−0.320946	−	0.947098i	$-0.604001\pi$
$263$	−19.7460	−	8.17904i	−1.21759	−	0.504341i	−0.896642	+	0.442756i	$0.854001\pi$
$264$	−16.6699	+	11.3444i	−1.02596	+	0.698202i
$265$	−1.53794	+	0.637037i	−0.0944752	+	0.0391329i
$266$	27.1989	−	7.28077i	1.66767	−	0.446412i
$267$	−1.68509	+	8.90006i	−0.103126	+	0.544675i
$268$	1.24410	+	0.614283i	0.0759956	+	0.0375233i
$269$	−2.49611	+	3.73570i	−0.152191	+	0.227770i	−0.899729	−	0.436449i	$-0.856236\pi$
$269$	−2.49611	+	3.73570i	−0.152191	+	0.227770i	0.747538	+	0.664219i	$0.231236\pi$
$270$	1.73506	−	2.09156i	0.105593	−	0.127288i
$271$	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
$273$	9.64114	+	9.46478i	0.583508	+	0.572835i
$274$	−1.59022	−	24.3536i	−0.0960684	−	1.47126i
$275$	11.1207	−	16.6433i	0.670605	−	1.00363i
$276$	2.88134	+	0.163578i	0.173437	+	0.00984627i
$277$	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
$279$	−10.6380	+	4.63829i	−0.636882	+	0.277687i
$280$	−2.67799	−	2.68194i	−0.160040	−	0.160276i
$281$	−12.5315	−	5.19070i	−0.747564	−	0.309651i	−0.0238170	−	0.999716i	$-0.507582\pi$
$281$	−12.5315	−	5.19070i	−0.747564	−	0.309651i	−0.723747	+	0.690065i	$0.757582\pi$
$282$	7.47806	+	9.56639i	0.445312	+	0.569670i
$283$	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
$285$	−3.44544	+	0.718461i	−0.204090	+	0.0425580i
$286$	5.53943	+	11.2398i	0.327554	+	0.664624i
$287$		−	11.0455i		−	0.651995i
$288$	5.73111	+	15.9736i	0.337709	+	0.941250i
$289$			29.2075i			1.71809i
$290$	2.24444	−	1.10615i	0.131798	−	0.0649555i
$291$	22.7859	−	4.75145i	1.33573	−	0.278535i
$292$	−12.5804	−	3.37752i	−0.736210	−	0.197654i
$293$	−8.12418	+	5.42840i	−0.474620	+	0.317131i	−0.769771	−	0.638320i	$-0.779630\pi$
$293$	−8.12418	+	5.42840i	−0.474620	+	0.317131i	0.295152	+	0.955450i	$0.404630\pi$
$294$	11.8282	−	9.24615i	0.689837	−	0.539246i
$295$	3.24189	+	1.34284i	0.188750	+	0.0781829i
$296$	11.5806	−	27.8999i	0.673107	−	1.62165i
$297$	8.72838	+	19.5248i	0.506472	+	1.13295i
$298$	12.9523	+	7.48226i	0.750307	+	0.433435i
$299$	0.349890	−	1.75902i	0.0202347	−	0.101726i
$300$	−11.2181	−	12.5685i	−0.647677	−	0.725643i
$301$	1.02102	−	1.52806i	0.0588505	−	0.0880760i
$302$	−26.0528	+	1.70117i	−1.49917	+	0.0978912i
$303$	7.79643	+	7.65382i	0.447893	+	0.439700i
$304$	7.08531	−	20.8055i	0.406371	−	1.19328i
$305$	−2.21601	+	2.21601i	−0.126888	+	0.126888i
$306$	−22.0257	−	18.6173i	−1.25912	−	1.06428i
$307$	−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
$309$	−1.58131	+	8.35195i	−0.0899577	+	0.475126i
$310$	−0.523150	−	1.95434i	−0.0297129	−	0.110999i
$311$	3.44257	−	1.42596i	0.195210	−	0.0808587i	−0.282937	−	0.959139i	$-0.591309\pi$
$311$	3.44257	−	1.42596i	0.195210	−	0.0808587i	0.478147	+	0.878280i	$0.341309\pi$
$312$	10.3258	−	2.14525i	0.584581	−	0.121451i
$313$	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
$315$	−3.30067	+	2.29468i	−0.185971	+	0.129291i
$316$	17.4351	−	2.28666i	0.980800	−	0.128635i
$317$	−18.8725	+	3.75398i	−1.05999	+	0.210845i	−0.694147	−	0.719833i	$-0.744218\pi$
$317$	−18.8725	+	3.75398i	−1.05999	+	0.210845i	−0.365841	+	0.930678i	$0.619218\pi$
$318$	−10.4723	−	3.45026i	−0.587259	−	0.193481i
$319$			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
$324$	17.7486	−	2.99789i	0.986033	−	0.166549i
$325$	−8.70491	+	5.81644i	−0.482862	+	0.322638i
$326$	−3.11034	+	23.5807i	−0.172266	+	1.30601i
$327$	10.3363	+	4.17007i	0.571596	+	0.230605i
$328$	−7.16546	−	4.79545i	−0.395647	−	0.264784i
$329$	−6.87362	−	16.5944i	−0.378955	−	0.914879i
$330$	−3.59256	+	0.997303i	−0.197764	+	0.0548997i
$331$	−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
$333$	−26.9645	−	17.3058i	−1.47765	−	0.948352i
$334$	13.5468	−	15.4395i	0.741248	−	0.844812i
$335$	0.181412	+	0.181412i	0.00991159	+	0.00991159i
$336$	−1.84842	−	25.0356i	−0.100840	−	1.36581i
$337$	−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
$339$	−11.8717	−	7.77486i	−0.644780	−	0.422272i
$340$	3.78163	−	3.31312i	0.205088	−	0.179679i
$341$	15.6162	+	3.10625i	0.845664	+	0.168213i
$342$	−20.3978	−	11.2864i	−1.10299	−	0.610299i
$343$	2.91527	−	1.20754i	0.157410	−	0.0652013i
$344$	−0.548009	−	1.32577i	−0.0295467	−	0.0714808i
$345$	0.494878	+	0.199654i	0.0266434	+	0.0107490i
$346$	−17.2725	−	22.5215i	−0.928578	−	1.21076i
$347$	−7.71616	−	11.5480i	−0.414225	−	0.619931i	0.564420	−	0.825487i	$-0.309100\pi$
$347$	−7.71616	−	11.5480i	−0.414225	−	0.619931i	−0.978645	+	0.205556i	$0.934100\pi$
$348$	16.0459	+	4.14953i	0.860149	+	0.222438i
$349$	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	$-0.789380\pi$
$353$	−29.6464			−1.57792			−0.788960	+	0.614445i	$0.789380\pi$
$354$	10.4667	+	20.7522i	0.556297	+	1.10296i
$355$	0.567821	+	2.85463i	0.0301368	+	0.151508i
$356$	−5.22529	−	9.06074i	−0.276940	−	0.480218i
$357$	24.0278	+	35.2514i	1.27169	+	1.86570i
$358$	6.33864	+	8.26488i	0.335008	+	0.436813i
$359$	9.40375	−	22.7027i	0.496311	−	1.19820i	−0.455146	−	0.890417i	$-0.650413\pi$
$359$	9.40375	−	22.7027i	0.496311	−	1.19820i	0.951456	−	0.307783i	$-0.0995872\pi$
$360$	0.0556135	+	3.13746i	0.00293109	+	0.165359i
$361$	4.28298	+	10.3400i	0.225420	+	0.544212i
$362$	−2.06223	−	1.19130i	−0.108388	−	0.0626135i
$363$	1.91423	−	10.1103i	0.100471	−	0.530654i
$364$	−15.5667	−	1.02797i	−0.815915	−	0.0538802i
$365$	−2.00264	−	1.33812i	−0.104823	−	0.0700406i
$366$	−20.7003	+	1.54367i	−1.08202	+	0.0806890i
$367$	−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
$369$	−6.34609	+	6.58482i	−0.330364	+	0.342792i
$370$	3.68387	−	4.19857i	0.191515	−	0.218273i
$371$	13.5615	+	9.06154i	0.704081	+	0.470452i
$372$	5.82166	−	12.0699i	0.301839	−	0.625797i
$373$	−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
$375$	−2.47146	−	5.81425i	−0.127626	−	0.300247i
$376$	−13.7494	−	2.74545i	−0.709070	−	0.141586i
$377$	3.94150	−	9.51563i	0.202998	−	0.490080i
$378$	−26.4842	−	2.74974i	−1.36220	−	0.141431i
$379$	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
$381$	−3.64037	+	0.759109i	−0.186502	+	0.0388904i
$382$	−0.532499	−	0.180905i	−0.0272450	−	0.00925589i
$383$	22.0958			1.12904			0.564522	−	0.825418i	$-0.309061\pi$
$383$	22.0958			1.12904			0.564522	+	0.825418i	$0.309061\pi$
$384$	−17.0437	−	9.67021i	−0.869757	−	0.493481i
$385$	5.51527			0.281084
$386$	−6.05398	−	2.05671i	−0.308139	−	0.104684i
$387$	−1.48662	+	0.324344i	−0.0755691	+	0.0164873i
$388$	−16.3721	+	21.3148i	−0.831166	+	1.08210i
$389$	6.48020	+	9.69831i	0.328559	+	0.491724i	0.958568	−	0.284865i	$-0.0919486\pi$
$389$	6.48020	+	9.69831i	0.328559	+	0.491724i	−0.630009	+	0.776588i	$0.716949\pi$
$390$	1.93559	+	0.237154i	0.0980123	+	0.0120087i
$391$	2.16720	−	5.23208i	0.109600	−	0.264598i
$392$	−3.39458	+	17.0002i	−0.171452	+	0.858642i
$393$	−30.8815	+	13.1268i	−1.55776	+	0.662157i
$394$	−3.80156	−	14.2016i	−0.191520	−	0.715465i
$395$	3.18898	+	0.634327i	0.160455	+	0.0319165i
$396$	−22.3415	−	10.5228i	−1.12270	−	0.528793i
$397$	−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
$399$	24.6083	+	24.1582i	1.23196	+	1.20942i
$400$	19.2840	+	2.55806i	0.964202	+	0.127903i
$401$	19.9832	+	19.9832i	0.997911	+	0.997911i	0.999998	−	0.00208641i	$-0.000664125\pi$
$401$	19.9832	+	19.9832i	0.997911	+	0.997911i	−0.00208641	+	0.999998i	$0.500664\pi$
$402$	0.126371	+	1.69462i	0.00630283	+	0.0845198i
$403$	−6.92423	−	4.62662i	−0.344920	−	0.230468i
$404$	−12.5882	−	0.831281i	−0.626286	−	0.0413578i
$405$	3.28609	+	0.528384i	0.163287	+	0.0262556i
$406$	−21.2291	−	12.2636i	−1.05358	−	0.608632i
$407$	16.8222	+	40.6123i	0.833844	+	2.01308i
$408$	33.3001	−	0.282847i	1.64860	−	0.0140030i
$409$	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
$411$	24.6987	−	16.8349i	1.21830	−	0.830406i
$412$	−4.90349	−	8.50274i	−0.241578	−	0.418900i
$413$	−6.70744	−	33.7206i	−0.330052	−	1.65928i
$414$	1.62079	+	3.14108i	0.0796575	+	0.154376i
$415$	−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	−0.0607746	−	0.998152i	$-0.519357\pi$
$419$	5.42550	−	1.07920i	0.265053	−	0.0527223i	0.325828	+	0.945429i	$0.394357\pi$
$420$	1.16217	−	4.49399i	0.0567079	−	0.219284i
$421$	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
$423$	−5.43642	+	13.8420i	−0.264328	+	0.673021i
$424$	11.7662	−	4.86358i	0.571419	−	0.236197i
$425$	−30.5420	+	12.6509i	−1.48150	+	0.613659i
$426$	−9.48881	+	16.7815i	−0.459734	+	0.813067i
$427$	30.1161	+	5.99046i	1.45742	+	0.289899i
$428$	−10.7953	+	9.45782i	−0.521809	+	0.457161i
$429$	−8.40815	+	12.8387i	−0.405949	+	0.619856i
$430$	−0.0172839	−	0.264696i	−0.000833501	−	0.0127648i
$431$	−1.81056	+	1.81056i	−0.0872117	+	0.0872117i	−0.749367	−	0.662155i	$-0.769642\pi$
$431$	−1.81056	+	1.81056i	−0.0872117	+	0.0872117i	0.662155	+	0.749367i	$0.269642\pi$
$432$	−13.2820	+	15.9871i	−0.639033	+	0.769180i
$433$	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
$435$	2.56371	+	1.67900i	0.122921	+	0.0805018i
$436$	−12.1890	+	4.13094i	−0.583748	+	0.197836i
$437$	0.893068	−	4.48976i	0.0427212	−	0.214774i
$438$	−4.26732	−	15.3720i	−0.203900	−	0.734505i
$439$	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
$441$	17.1148	+	6.72179i	0.814989	+	0.320085i
$442$	2.70626	−	20.5172i	0.128724	−	0.975904i
$443$	−13.7608	+	9.19470i	−0.653797	+	0.436853i	−0.837729	−	0.546086i	$-0.816117\pi$
$443$	−13.7608	+	9.19470i	−0.653797	+	0.436853i	0.183932	+	0.982939i	$0.441117\pi$
$444$	36.6367	−	5.14943i	1.73870	−	0.244381i
$445$	−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	$0.230983\pi$
$449$			28.1239i			1.32725i	−0.748066	+	0.663624i	$0.769017\pi$
$450$	6.27529	−	19.6555i	0.295820	−	0.926571i
$451$	12.3058	−	2.44777i	0.579456	−	0.115261i
$452$	16.2472	−	2.13087i	0.764205	−	0.100228i
$453$	−18.0095	−	26.4219i	−0.846162	−	1.24141i
$454$	17.7836	+	2.34569i	0.834624	+	0.110089i
$455$	−2.66506	−	1.10390i	−0.124940	−	0.0517518i
$456$	26.3557	−	5.47560i	1.23422	−	0.256418i
$457$	−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
$459$	5.92908	−	34.8202i	0.276746	−	1.62527i
$460$	−0.583585	+	0.197781i	−0.0272098	+	0.00922158i
$461$	−7.09871	+	10.6240i	−0.330620	+	0.494808i	−0.959119	−	0.283002i	$-0.908670\pi$
$461$	−7.09871	+	10.6240i	−0.330620	+	0.494808i	0.628499	+	0.777810i	$0.283670\pi$
$462$	27.6808	+	23.8389i	1.28783	+	1.10908i
$463$	−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
$465$	1.73585	−	1.76820i	0.0804983	−	0.0819982i
$466$	−13.2811	+	0.867212i	−0.615233	+	0.0401728i
$467$	8.70099	−	13.0220i	0.402634	−	0.602584i	−0.573644	−	0.819105i	$-0.694471\pi$
$467$	8.70099	−	13.0220i	0.402634	−	0.602584i	0.976278	+	0.216521i	$0.0694708\pi$
$468$	8.68954	+	9.55652i	0.401674	+	0.441750i
$469$	0.490404	−	2.46543i	0.0226448	−	0.113843i
$470$	−2.24488	−	1.29681i	−0.103548	−	0.0598176i
$471$	−14.0405	−	33.0311i	−0.646952	−	1.52199i
$472$	−24.7874	−	10.2887i	−1.14093	−	0.473574i
$473$	1.92868	+	0.798885i	0.0886807	+	0.0367328i
$474$	13.2635	+	16.9675i	0.609213	+	0.779342i
$475$	−22.2186	+	14.8460i	−1.01946	+	0.681182i
$476$	−47.5763	−	12.7731i	−2.18066	−	0.585453i
$477$	−2.87856	−	13.1937i	−0.131800	−	0.604100i
$478$	26.5508	−	13.0853i	1.21440	−	0.598507i
$479$			20.7790i			0.949419i	0.880143	+	0.474709i	$0.157447\pi$
$479$			20.7790i			0.949419i	−0.880143	+	0.474709i	$0.842553\pi$
$480$	−2.41080	−	2.70501i	−0.110037	−	0.123466i
$481$		−	22.9915i		−	1.04832i
$482$	2.87944	+	5.84253i	0.131155	+	0.266120i
$483$	−1.06733	−	5.11846i	−0.0485652	−	0.232898i
$484$	5.93585	+	10.2929i	0.269811	+	0.467857i
$485$	−4.13215	+	2.76101i	−0.187631	+	0.125371i
$486$	14.2088	+	16.8555i	0.644526	+	0.764582i
$487$	−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
$489$	−26.8090	+	11.3957i	−1.21234	+	0.515330i
$490$	−1.60343	+	2.77565i	−0.0724356	+	0.125391i
$491$	0.319597	−	1.60672i	0.0144232	−	0.0725104i	−0.972903	−	0.231212i	$-0.925731\pi$
$491$	0.319597	−	1.60672i	0.0144232	−	0.0725104i	0.987327	+	0.158702i	$0.0507308\pi$
$492$	0.598535	−	10.5429i	0.0269841	−	0.475309i
$493$	18.0686	−	27.0416i	0.813770	−	1.21789i
$494$	−1.08999	−	16.6928i	−0.0490409	−	0.751045i
$495$	−3.28796	−	3.16875i	−0.147783	−	0.142425i
$496$	3.99020	+	14.9503i	0.179165	+	0.671289i
$497$	20.1650	−	20.1650i	0.904524	−	0.904524i
$498$	−6.04234	−	5.20370i	−0.270764	−	0.233183i
$499$	−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
$501$	24.7172	+	4.67982i	1.10428	+	0.209079i
$502$	−4.23777	+	1.13439i	−0.189141	+	0.0506304i
$503$	30.4424	−	12.6097i	1.35736	−	0.562237i	0.419028	−	0.907973i	$-0.362371\pi$
$503$	30.4424	−	12.6097i	1.35736	−	0.562237i	0.938332	+	0.345736i	$0.112371\pi$
$504$	25.2574	−	17.5318i	1.12505	−	0.780928i
$505$	−2.15513	−	0.892685i	−0.0959022	−	0.0397240i
$506$	0.634152	−	4.80774i	0.0281915	−	0.213730i
$507$	−11.9730	+	8.16096i	−0.531740	+	0.362441i
$508$	2.61566	−	3.40534i	0.116051	−	0.151087i
$509$	6.26902	−	1.24699i	0.277870	−	0.0552717i	−0.0541882	−	0.998531i	$-0.517257\pi$
$509$	6.26902	−	1.24699i	0.277870	−	0.0552717i	0.332058	+	0.943259i	$0.392257\pi$
$510$	5.84838	+	1.92683i	0.258970	+	0.0853216i
$511$			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
$516$	1.05736	−	1.40320i	0.0465477	−	0.0617724i
$517$	16.9646	−	11.3354i	0.746100	−	0.498528i
$518$	−54.2578	−	7.15672i	−2.38395	−	0.314448i
$519$	13.0055	−	32.2365i	0.570879	−	1.41503i
$520$	−1.87317	+	1.24962i	−0.0821441	+	0.0547995i
$521$	2.24862	+	5.42864i	0.0985137	+	0.237833i	0.965451	−	0.260584i	$-0.0839150\pi$
$521$	2.24862	+	5.42864i	0.0985137	+	0.237833i	−0.866938	+	0.498417i	$0.833915\pi$
$522$	5.60991	+	19.5080i	0.245539	+	0.853842i
$523$	−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
$525$	−16.7218	+	25.5331i	−0.729800	+	1.11435i
$526$	22.7201	+	19.9348i	0.990642	+	0.869200i
$527$	−18.5940	−	18.5940i	−0.809969	−	0.809969i
$528$	27.4825	−	7.60743i	1.19602	−	0.331071i
$529$	15.7727	−	15.7727i	0.685768	−	0.685768i
$530$	2.34918	−	0.153394i	0.102042	−	0.00666302i
$531$	−15.3752	+	23.9564i	−0.667226	+	1.03962i
$532$	−39.7328	−	2.62382i	−1.72263	−	0.113757i
$533$	−6.43626	−	1.28025i	−0.278785	−	0.0554538i
$534$	6.30517	−	11.1511i	0.272851	−	0.482553i
$535$	−2.45181	+	1.01557i	−0.106001	+	0.0439070i
$536$	−1.38647	−	1.38851i	−0.0598863	−	0.0599746i
$537$	−4.77274	+	11.8301i	−0.205959	+	0.510506i
$538$	5.04184	−	3.86677i	0.217369	−	0.166708i
$539$	−14.0155	−	20.9756i	−0.603688	−	0.903484i
$540$	−3.27481	+	2.01140i	−0.140926	+	0.0865570i
$541$	−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
$546$	−8.60431	−	17.0597i	−0.368231	−	0.730087i
$547$	−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
$549$	−14.5121	−	20.8742i	−0.619360	−	0.890887i
$550$	−22.4625	+	17.2273i	−0.957803	+	0.734574i
$551$	10.0604	−	24.2879i	0.428587	−	1.03470i
$552$	−3.78385	−	1.52980i	−0.161051	−	0.0651126i
$553$	−12.1914	−	29.4327i	−0.518433	−	1.25161i
$554$	−19.0986	+	33.0610i	−0.811422	+	1.40463i
$555$	6.72152	+	1.27261i	0.285313	+	0.0540195i
$556$	−16.9791	+	14.8755i	−0.720075	+	0.630864i
$557$	−4.28886	−	2.86572i	−0.181725	−	0.121425i	0.461381	−	0.887202i	$-0.347354\pi$
$557$	−4.28886	−	2.86572i	−0.181725	−	0.121425i	−0.643105	+	0.765778i	$0.722354\pi$
$558$	16.3549	−	1.37152i	0.692357	−	0.0580613i
$559$	−0.772065	−	0.772065i	−0.0326549	−	0.0326549i
$560$	2.36591	+	4.80950i	0.0999781	+	0.203238i
$561$	−33.9488	+	34.5813i	−1.43332	+	1.46003i
$562$	14.4189	+	12.6513i	0.608226	+	0.533664i
$563$	6.98124	+	4.66471i	0.294224	+	0.196594i	0.693917	−	0.720055i	$-0.255883\pi$
$563$	6.98124	+	4.66471i	0.294224	+	0.196594i	−0.399693	+	0.916649i	$0.630883\pi$
$564$	−5.66162	−	16.2117i	−0.238397	−	0.682637i
$565$	2.97171	+	0.591111i	0.125021	+	0.0248682i
$566$	−2.13888	+	0.572548i	−0.0899038	+	0.0240660i
$567$	−13.5832	−	29.6472i	−0.570440	−	1.24507i
$568$	−4.32678	−	21.8362i	−0.181548	−	0.916228i
$569$	11.5903	−	27.9815i	0.485891	−	1.17304i	−0.470879	−	0.882198i	$-0.656063\pi$
$569$	11.5903	−	27.9815i	0.485891	−	1.17304i	0.956770	−	0.290847i	$-0.0939370\pi$
$570$	4.94045	+	0.605317i	0.206933	+	0.0253539i
$571$	−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
$573$	−0.140605	−	0.674279i	−0.00587384	−	0.0281684i
$574$	−5.02474	+	14.7905i	−0.209728	+	0.617342i
$575$	4.05162			0.168964
$576$	−0.407676	−	23.9965i	−0.0169865	−	0.999856i
$577$	−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
$579$	−1.59853	−	7.66588i	−0.0664327	−	0.318583i
$580$	−3.50862	+	0.460167i	−0.145688	+	0.0191074i
$581$	6.55346	+	9.80794i	0.271883	+	0.406902i
$582$	−32.6730	−	4.00318i	−1.35434	−	0.165937i
$583$	−7.09010	+	17.1170i	−0.293642	+	0.708915i
$584$	15.3093	+	10.2456i	0.633502	+	0.423967i
$585$	0.954549	+	2.18928i	0.0394657	+	0.0905157i
$586$	13.3481	−	3.57311i	0.551406	−	0.147604i
$587$	−3.23501	−	0.643484i	−0.133523	−	0.0265594i	0.127876	−	0.991790i	$-0.459184\pi$
$587$	−3.23501	−	0.643484i	−0.133523	−	0.0265594i	−0.261399	+	0.965231i	$0.584184\pi$
$588$	−20.0448	+	7.00024i	−0.826634	+	0.288685i
$589$	−17.6736	−	11.8091i	−0.728227	−	0.486586i
$590$	−3.73018	−	3.27290i	−0.153569	−	0.134743i
$591$	12.6139	−	12.8489i	0.518866	−	0.528534i
$592$	−28.1990	+	32.0911i	−1.15897	+	1.31894i
$593$	18.8340	+	18.8340i	0.773418	+	0.773418i	0.978702	−	0.205284i	$-0.0658119\pi$
$593$	18.8340	+	18.8340i	0.773418	+	0.773418i	−0.205284	+	0.978702i	$0.565812\pi$
$594$	−2.80563	−	30.1154i	−0.115117	−	1.23565i
$595$	−7.57358	−	5.06050i	−0.310487	−	0.207460i
$596$	−13.9400	−	15.9113i	−0.571005	−	0.651751i
$597$	43.6882	+	8.27167i	1.78804	+	0.338537i
$598$	−1.26872	+	2.19624i	−0.0518818	+	0.0898109i
$599$	−4.05941	−	9.80027i	−0.165863	−	0.400428i	0.818993	−	0.573803i	$-0.194533\pi$
$599$	−4.05941	−	9.80027i	−0.165863	−	0.400428i	−0.984856	+	0.173375i	$0.944533\pi$
$600$	9.30402	+	21.9331i	0.379835	+	0.895416i
$601$	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
$603$	−1.70885	+	1.18802i	−0.0695896	+	0.0483799i
$604$	35.6599	+	9.57380i	1.45098	+	0.389552i
$605$	0.428616	+	2.15480i	0.0174257	+	0.0876050i
$606$	−6.95799	−	13.7955i	−0.282649	−	0.560405i
$607$	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
$612$	21.0242	+	34.9493i	0.849853	+	1.41274i
$613$	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
$615$	0.730536	−	1.81077i	0.0294581	−	0.0730171i
$616$	−42.1824	−	0.0310645i	−1.69958	−	0.00125163i
$617$	38.6830	−	16.0230i	1.55732	−	0.645062i	0.572698	−	0.819767i	$-0.305897\pi$
$617$	38.6830	−	16.0230i	1.55732	−	0.645062i	0.984621	+	0.174704i	$0.0558969\pi$
$618$	5.91686	−	10.4643i	0.238011	−	0.420937i
$619$	−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
$621$	−2.30447	+	3.66462i	−0.0924753	+	0.147056i
$622$	−5.25846	+	0.343361i	−0.210845	+	0.0137675i
$623$	−13.3993	+	13.3993i	−0.536833	+	0.536833i
$624$	−14.8026	−	1.82472i	−0.592579	−	0.0730473i
$625$	−16.2403	−	16.2403i	−0.649613	−	0.649613i
$626$	−13.8386	−	12.1421i	−0.553102	−	0.485297i
$627$	−21.4612	+	32.7697i	−0.857077	+	1.30870i
$628$	37.1608	+	18.3483i	1.48288	+	0.732179i
$629$	14.1634	−	71.2040i	0.564730	−	2.83909i
$630$	5.46364	−	1.57118i	0.217676	−	0.0625971i
$631$	−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
$633$	11.4449	−	28.3682i	0.454893	−	1.12753i
$634$	26.9790	+	3.55859i	1.07147	+	0.141330i
$635$	0.660167	−	0.441110i	0.0261979	−	0.0175049i
$636$	12.4534	+	9.38407i	0.493810	+	0.372102i
$637$	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	$0.181281\pi$
$641$			27.3039i			1.07844i	−0.842166	+	0.539219i	$0.818719\pi$
$642$	−16.6951	−	5.50045i	−0.658904	−	0.217085i
$643$	−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
$645$	0.268447	−	0.182977i	0.0105701	−	0.00720471i
$646$	6.90754	−	52.3686i	0.271774	−	2.06042i
$647$	−10.0282	−	4.15383i	−0.394251	−	0.163304i	0.176746	−	0.984257i	$-0.443443\pi$
$647$	−10.0282	−	4.15383i	−0.394251	−	0.163304i	−0.570996	+	0.820953i	$0.693443\pi$
$648$	−25.1300	−	4.05974i	−0.987201	−	0.159482i
$649$	36.0817	−	14.9455i	1.41633	−	0.586663i
$650$	14.3023	−	3.82852i	0.560982	−	0.150167i
$651$	−23.8541	−	4.51641i	−0.934917	−	0.177012i
$652$	14.8920	−	30.1607i	0.583217	−	1.18119i
$653$	−1.82666	+	2.73378i	−0.0714826	+	0.106981i	−0.865489	−	0.500929i	$-0.832992\pi$
$653$	−1.82666	+	2.73378i	−0.0714826	+	0.106981i	0.794006	+	0.607910i	$0.207992\pi$
$654$	−11.9437	−	10.2860i	−0.467038	−	0.402215i
$655$	5.06605	−	5.06605i	0.197947	−	0.197947i
$656$	7.41340	+	9.68100i	0.289445	+	0.377980i
$657$	13.5586	−	14.0687i	0.528973	−	0.548872i
$658$	1.65512	+	25.3476i	0.0645234	+	0.988153i
$659$	19.4372	−	29.0898i	0.757166	−	1.13318i	−0.229954	−	0.973201i	$-0.573858\pi$
$659$	19.4372	−	29.0898i	0.757166	−	1.13318i	0.987121	−	0.159978i	$-0.0511424\pi$
$660$	5.26430	+	0.298863i	0.204913	+	0.0116332i
$661$	−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
$663$	23.3261	−	9.91521i	0.905911	−	0.385075i
$664$	9.20785	+	0.00678097i	0.357334	+	0.000263153i
$665$	−6.80236	−	2.81763i	−0.263784	−	0.109263i
$666$	28.2342	+	35.4398i	1.09405	+	1.37327i
$667$	−3.31421	+	2.21448i	−0.128327	+	0.0857451i
$668$	−25.1635	+	14.5117i	−0.973604	+	0.561473i
$669$	7.50442	+	35.9880i	0.290138	+	1.39138i
$670$	−0.160393	−	0.325446i	−0.00619652	−	0.0125731i
$671$			34.8798i			1.34652i
$672$	−8.91389	+	34.3648i	−0.343861	+	1.32565i
$673$			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
$675$	24.6386	−	5.61427i	0.948339	−	0.216093i
$676$	4.33833	−	16.1591i	0.166859	−	0.621506i
$677$	24.4080	−	16.3089i	0.938075	−	0.626802i	0.0103021	−	0.999947i	$-0.496721\pi$
$677$	24.4080	−	16.3089i	0.938075	−	0.626802i	0.927773	+	0.373145i	$0.121721\pi$
$678$	12.3599	+	15.8115i	0.474678	+	0.607237i
$679$	44.9865	+	18.6340i	1.72642	+	0.715108i
$680$	−6.57097	+	2.71612i	−0.251985	+	0.104158i
$681$	8.59415	+	20.2182i	0.329328	+	0.774764i
$682$	−19.4978	−	11.2634i	−0.746608	−	0.431299i
$683$	−1.91491	+	9.62691i	−0.0732720	+	0.368363i	−0.999972	−	0.00743779i	$-0.997632\pi$
$683$	−1.91491	+	9.62691i	−0.0732720	+	0.368363i	0.926700	+	0.375801i	$0.122632\pi$
$684$	22.1794	+	24.3923i	0.848050	+	0.932663i
$685$	−3.54562	+	5.30639i	−0.135471	+	0.202747i
$686$	−4.45302	+	0.290768i	−0.170017	+	0.0111016i
$687$	−28.7836	+	29.3199i	−1.09816	+	1.11862i
$688$	0.130701	+	2.02457i	0.00498293	+	0.0771861i
$689$	6.85208	−	6.85208i	0.261043	−	0.261043i
$690$	−0.571842	−	0.492473i	−0.0217696	−	0.0187481i
$691$	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
$693$	−7.91708	+	44.0352i	−0.300745	+	1.67276i
$694$	5.07896	+	18.9736i	0.192795	+	0.720227i
$695$	−3.85628	+	1.59732i	−0.146277	+	0.0605900i
$696$	−19.5986	−	12.8559i	−0.742881	−	0.487302i
$697$	−19.1442	−	7.92981i	−0.725140	−	0.300363i
$698$	−29.7749	−	3.92738i	−1.12700	−	0.148653i
$699$	−9.18081	−	13.4692i	−0.347250	−	0.509454i
$700$	−4.58299	−	34.9438i	−0.173221	−	1.32075i
$701$	−36.2192	+	7.20446i	−1.36798	+	0.272109i	−0.823810	−	0.566865i	$-0.808156\pi$
$701$	−36.2192	+	7.20446i	−1.36798	+	0.272109i	−0.544172	+	0.838974i	$0.683156\pi$
$702$	−4.67199	+	15.1137i	−0.176333	+	0.570431i
$703$		−	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
$708$	−4.57496	−	32.5496i	−0.171938	−	1.22329i
$709$	−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
$711$	−9.64233	+	24.5510i	−0.361616	+	0.920733i
$712$	2.87508	+	14.5098i	0.107748	+	0.543779i
$713$	1.23332	+	2.97750i	0.0461882	+	0.111508i
$714$	−16.1381	−	58.1339i	−0.603953	−	2.17561i
$715$	0.639259	−	3.21377i	0.0239069	−	0.120188i
$716$	−4.72796	−	13.9506i	−0.176692	−	0.521359i
$717$	30.3275	+	19.8618i	1.13260	+	0.741752i
$718$	−22.9198	+	26.1221i	−0.855360	+	0.974868i
$719$	9.57473	+	9.57473i	0.357077	+	0.357077i	0.862734	−	0.505657i	$-0.168750\pi$
$719$	9.57473	+	9.57473i	0.357077	+	0.357077i	−0.505657	+	0.862734i	$0.668750\pi$
$720$	1.35280	−	4.22652i	0.0504160	−	0.157513i
$721$	−12.5741	+	12.5741i	−0.468286	+	0.468286i
$722$	−1.03131	−	15.7942i	−0.0383814	−	0.587799i
$723$	−4.37062	+	6.67362i	−0.162545	+	0.248195i
$724$	2.21949	+	2.53335i	0.0824866	+	0.0941512i
$725$	22.8207	+	4.53932i	0.847540	+	0.168586i
$726$	−7.16257	+	12.6674i	−0.265828	+	0.470132i
$727$	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
$729$	−8.93586	+	25.4784i	−0.330958	+	0.943646i
$730$	2.07291	+	2.70284i	0.0767218	+	0.100037i
$731$	−1.91545	−	2.86668i	−0.0708455	−	0.106028i
$732$	28.4210	+	7.34980i	1.05047	+	0.271656i
$733$	−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
$738$	11.4932	−	5.93049i	0.423072	−	0.218304i
$739$	−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
$741$	16.9293	−	11.5393i	0.621915	−	0.423905i
$742$	−14.0374	−	18.3032i	−0.515328	−	0.671931i
$743$	9.58352	−	23.1367i	0.351585	−	0.848802i	−0.644839	−	0.764318i	$-0.723076\pi$
$743$	9.58352	−	23.1367i	0.351585	−	0.848802i	0.996425	−	0.0844842i	$-0.0269242\pi$
$744$	−13.2863	+	13.5139i	−0.487098	+	0.495444i
$745$	−1.49687	−	3.61376i	−0.0548409	−	0.132398i
$746$	35.4964	+	20.5054i	1.29961	+	0.750758i
$747$	1.72819	−	9.61228i	0.0632312	−	0.351695i
$748$	3.68718	−	55.8354i	0.134816	−	2.04154i
$749$	21.6200	+	14.4460i	0.789977	+	0.527846i
$750$	0.664429	+	8.90987i	0.0242615	+	0.325343i
$751$	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
$753$	−3.83413	−	3.76400i	−0.139724	−	0.137168i
$754$	−9.60665	+	10.9489i	−0.349854	+	0.398734i
$755$	5.67662	+	3.79300i	0.206593	+	0.138041i
$756$	34.2128	+	15.7300i	1.24431	+	0.572096i
$757$	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
$759$	5.46595	−	2.32340i	0.198401	−	0.0843342i
$760$	−4.78114	+	3.18956i	−0.173430	+	0.115698i
$761$	−12.7497	+	30.7806i	−0.462178	+	1.11580i	0.505323	+	0.862930i	$0.331373\pi$
$761$	−12.7497	+	30.7806i	−0.462178	+	1.11580i	−0.967501	+	0.252866i	$0.918627\pi$
$762$	5.21996	+	0.639564i	0.189099	+	0.0231689i
$763$	12.9541	+	19.3871i	0.468968	+	0.701861i
$764$	0.630747	+	0.484481i	0.0228196	+	0.0175279i
$765$	1.60756	+	7.36818i	0.0581214	+	0.266397i
$766$	−29.5874	−	10.0517i	−1.06904	−	0.363182i
$767$	−20.4266			−0.737561
$768$	18.4232	+	20.7023i	0.664791	+	0.747029i
$769$	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
$771$	−27.3048	+	5.69375i	−0.983358	+	0.205055i
$772$	7.17096	+	5.50806i	0.258088	+	0.198240i
$773$	7.77329	+	11.6335i	0.279586	+	0.418430i	0.944511	−	0.328480i	$-0.106537\pi$
$773$	7.77329	+	11.6335i	0.279586	+	0.418430i	−0.664925	+	0.746910i	$0.731537\pi$
$774$	2.13820	+	0.241969i	0.0768562	+	0.00869738i
$775$	7.19943	−	17.3810i	0.258611	−	0.624342i
$776$	31.6194	−	21.0937i	1.13507	−	0.757221i
$777$	−26.2208	−	61.6860i	−0.940666	−	2.21297i
$778$	−4.26543	−	15.9344i	−0.152923	−	0.571277i
$779$	−16.4281	−	3.26775i	−0.588597	−	0.117079i
$780$	−2.48397	−	1.19808i	−0.0889402	−	0.0428983i
$781$	26.9346	+	17.9971i	0.963794	+	0.643987i
$782$	−5.28213	+	6.02013i	−0.188889	+	0.215280i
$783$	−17.0857	+	18.0591i	−0.610592	+	0.645379i
$784$	12.2791	−	21.2199i	0.438541	−	0.757855i
$785$	5.41869	+	5.41869i	0.193401	+	0.193401i
$786$	47.3234	−	3.52901i	1.68797	−	0.125876i
$787$	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
$789$	−6.88660	+	36.3727i	−0.245170	+	1.29490i
$790$	−3.98164	−	2.30010i	−0.141660	−	0.0818340i
$791$	−11.3608	−	27.4275i	−0.403945	−	0.975210i
$792$	25.1294	+	24.2540i	0.892934	+	0.861830i
$793$	6.98133	−	16.8544i	0.247914	−	0.598518i
$794$	4.99901	+	6.51815i	0.177408	+	0.231320i
$795$	1.62392	+	2.38247i	0.0575945	+	0.0844974i
$796$	−44.4769	+	25.6497i	−1.57644	+	0.909128i
$797$	2.85174	+	14.3367i	0.101014	+	0.507831i	0.997854	+	0.0654763i	$0.0208567\pi$
$797$	2.85174	+	14.3367i	0.101014	+	0.507831i	−0.896840	+	0.442354i	$0.854143\pi$
$798$	−21.9619	−	43.5436i	−0.777442	−	1.54143i
$799$	−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
$804$	0.601685	−	2.32667i	0.0212198	−	0.0820551i
$805$	0.620213	+	0.928214i	0.0218596	+	0.0327153i
$806$	7.16718	+	9.34520i	0.252453	+	0.329171i
$807$	7.21673	+	2.91152i	0.254041	+	0.102490i
$808$	16.4781	+	6.83965i	0.579696	+	0.240618i
$809$	30.9054	−	12.8014i	1.08657	−	0.450074i	0.233764	−	0.972293i	$-0.424896\pi$
$809$	30.9054	−	12.8014i	1.08657	−	0.450074i	0.852811	+	0.522220i	$0.174896\pi$
$810$	−4.15988	−	2.20242i	−0.146163	−	0.0773851i
$811$	−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
$813$	−20.2479	−	13.2606i	−0.710126	−	0.465068i
$814$	−4.05067	−	62.0346i	−0.141976	−	2.17431i
$815$	4.39797	−	4.39797i	0.154054	−	0.154054i
$816$	−44.7192	−	14.7699i	−1.56549	−	0.517050i
$817$	−1.97064	−	1.97064i	−0.0689439	−	0.0689439i
$818$	−8.68528	+	9.89876i	−0.303674	+	0.346102i
$819$	12.6394	−	19.6938i	0.441658	−	0.688156i
$820$	0.723682	+	2.13534i	0.0252721	+	0.0745694i
$821$	−8.87853	+	44.6354i	−0.309863	+	1.55779i	0.441110	+	0.897453i	$0.354585\pi$
$821$	−8.87853	+	44.6354i	−0.309863	+	1.55779i	−0.750973	+	0.660333i	$0.770415\pi$
$822$	−40.7312	+	11.3071i	−1.42066	+	0.394380i
$823$	−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
$825$	−32.1520	−	12.9714i	−1.11939	−	0.451608i
$826$	−6.35833	+	48.2048i	−0.221234	+	1.67726i
$827$	−24.9784	+	16.6900i	−0.868583	+	0.580368i	−0.908054	−	0.418852i	$-0.862432\pi$
$827$	−24.9784	+	16.6900i	−0.868583	+	0.580368i	0.0394717	+	0.999221i	$0.487432\pi$
$828$	−0.741401	−	4.94338i	−0.0257655	−	0.171794i
$829$	−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
$834$	−26.2586	−	8.65127i	−0.909261	−	0.299569i
$835$	−5.26794	+	1.04786i	−0.182305	+	0.0362627i
$836$	−5.88192	−	44.8477i	−0.203430	−	1.55109i
$837$	11.6259	+	16.3977i	0.401850	+	0.566786i
$838$	−7.75596	−	1.02303i	−0.267925	−	0.0353399i
$839$	−11.2040	−	4.64085i	−0.386805	−	0.160220i	0.180802	−	0.983520i	$-0.442131\pi$
$839$	−11.2040	−	4.64085i	−0.386805	−	0.160220i	−0.567607	+	0.823300i	$0.692131\pi$
$840$	−3.60057	+	5.48900i	−0.124232	+	0.189388i
$841$	5.64423	−	2.33792i	0.194629	−	0.0806178i
$842$	−1.63783	−	6.11846i	−0.0564433	−	0.210856i
$843$	−4.37047	+	23.0834i	−0.150527	+	0.795033i
$844$	11.3375	+	33.4532i	0.390253	+	1.15151i
$845$	1.71878	−	2.57234i	0.0591280	−	0.0884913i
$846$	13.5765	−	16.0620i	0.466771	−	0.552224i
$847$	15.2214	−	15.2214i	0.523015	−	0.523015i
$848$	−17.9681	+	1.15997i	−0.617026	+	0.0398336i
$849$	−1.93516	−	1.89976i	−0.0664144	−	0.0651996i
$850$	46.6523	−	3.04625i	1.60016	−	0.104486i
$851$	−4.94329	+	7.39816i	−0.169454	+	0.253606i
$852$	20.3401	−	18.1547i	0.696841	−	0.621970i
$853$	−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
$855$	2.43642	+	5.58798i	0.0833237	+	0.191105i
$856$	18.7579	−	7.75359i	0.641131	−	0.265012i
$857$	−19.6448	−	8.13715i	−0.671054	−	0.277960i	0.0210277	−	0.999779i	$-0.493306\pi$
$857$	−19.6448	−	8.13715i	−0.671054	−	0.277960i	−0.692082	+	0.721819i	$0.743306\pi$
$858$	17.0994	−	13.3666i	0.583764	−	0.456329i
$859$	−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
$861$	−18.7285	+	3.90537i	−0.638266	+	0.133095i
$862$	3.24808	−	1.60078i	0.110630	−	0.0545230i
$863$		−	19.3617i		−	0.659080i	−0.944142	−	0.329540i	$-0.893106\pi$
$863$		−	19.3617i		−	0.659080i	0.944142	−	0.329540i	$-0.106894\pi$
$864$	25.0581	−	15.3653i	0.852492	−	0.522740i
$865$			7.42187i			0.252351i
$866$	−8.05480	−	16.3436i	−0.273713	−	0.555379i
$867$	49.5236	−	10.3269i	1.68191	−	0.350721i
$868$	24.2848	−	14.0049i	0.824280	−	0.475359i
$869$	30.0893	−	20.1050i	1.02071	−	0.682016i
$870$	−2.66914	−	3.41453i	−0.0904923	−	0.115763i
$871$	−1.37977	−	0.571521i	−0.0467519	−	0.0193653i
$872$	18.2009	+	0.0134038i	0.616361	+	0.000453909i
$873$	−16.1129	−	36.9554i	−0.545339	−	1.25075i
$874$	−3.23831	+	5.60574i	−0.109537	+	0.189617i
$875$	2.57842	−	12.9626i	0.0871666	−	0.438216i
$876$	−1.27879	+	22.5252i	−0.0432063	+	0.761056i
$877$	−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
$879$	12.0768	+	11.8559i	0.407339	+	0.399888i
$880$	−4.83395	+	3.70169i	−0.162952	+	0.124784i
$881$	19.0308	−	19.0308i	0.641164	−	0.641164i	−0.309678	−	0.950842i	$-0.600221\pi$
$881$	19.0308	−	19.0308i	0.641164	−	0.641164i	0.950842	+	0.309678i	$0.100221\pi$
$882$	−19.8597	−	16.7865i	−0.668711	−	0.565232i
$883$	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
$885$	1.13064	−	5.97167i	0.0380062	−	0.200736i
$886$	22.6092	−	6.05218i	0.759572	−	0.203327i
$887$	−20.9269	+	8.66822i	−0.702657	+	0.291050i	−0.705262	−	0.708946i	$-0.749171\pi$
$887$	−20.9269	+	8.66822i	−0.702657	+	0.291050i	0.00260497	+	0.999997i	$0.499171\pi$
$888$	−51.4010	−	9.77119i	−1.72490	−	0.327900i
$889$	−7.18722	−	2.97704i	−0.241051	−	0.0998468i
$890$	−0.357670	+	2.71163i	−0.0119891	+	0.0908940i
$891$	30.0198	−	21.7031i	1.00570	−	0.727081i
$892$	−33.6646	−	25.8580i	−1.12717	−	0.865790i
$893$	−26.7145	+	5.31385i	−0.893967	+	0.177821i
$894$	8.10719	−	24.6072i	0.271145	−	0.822987i
$895$		−	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
$900$	−17.3445	+	23.4650i	−0.578150	+	0.782168i
$901$	25.4418	−	16.9996i	0.847588	−	0.566340i
$902$	−17.5916	−	2.32037i	−0.585735	−	0.0772598i
$903$	−2.95195	−	1.19094i	−0.0982348	−	0.0396319i
$904$	−22.7252	−	4.53772i	−0.755829	−	0.150922i
$905$	0.238327	+	0.575372i	0.00792226	+	0.0191260i
$906$	12.0960	+	43.5731i	0.401862	+	1.44762i
$907$	−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
$909$	10.2211	−	15.9256i	0.339011	−	0.528220i
$910$	3.06647	+	2.69055i	0.101652	+	0.0891909i
$911$	0.963194	+	0.963194i	0.0319120	+	0.0319120i	0.722883	−	0.690971i	$-0.242817\pi$
$911$	0.963194	+	0.963194i	0.0319120	+	0.0319120i	−0.690971	+	0.722883i	$0.742817\pi$
$912$	−37.7826	−	4.65747i	−1.25111	−	0.154224i
$913$	−9.47472	+	9.47472i	−0.313567	+	0.313567i
$914$	30.8473	−	2.01424i	1.02034	−	0.0666250i
$915$	4.54094	+	2.97390i	0.150119	+	0.0983141i
$916$	3.12619	−	47.3402i	0.103292	−	1.56417i
$917$	−68.8488	−	13.6949i	−2.27359	−	0.452245i
$918$	−23.7795	+	43.9288i	−0.784840	+	1.44987i
$919$	−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
$921$	18.5424	+	7.48075i	0.610992	+	0.246499i
$922$	14.3385	−	10.9967i	0.472214	−	0.362158i
$923$	−9.41297	−	14.0875i	−0.309832	−	0.463696i
$924$	−26.2214	−	44.5138i	−0.862619	−	1.46440i
$925$	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	$-0.275290\pi$
$929$	39.5474			1.29751			0.648755	+	0.760998i	$0.275290\pi$
$930$	−3.12877	+	1.57804i	−0.102596	+	0.0517460i
$931$	6.57024	+	33.0308i	0.215331	+	1.08254i
$932$	18.1785	+	4.88048i	0.595457	+	0.159866i
$933$	−3.63502	−	5.33297i	−0.119005	−	0.174594i
$934$	−17.5749	+	13.4788i	−0.575069	+	0.441041i
$935$	3.95954	−	9.55917i	0.129491	−	0.312618i
$936$	−7.28834	−	16.7496i	−0.238227	−	0.547479i
$937$	−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
$939$	4.19457	−	22.1543i	0.136885	−	0.722978i
$940$	2.41606	+	2.75772i	0.0788033	+	0.0899470i
$941$	−24.2081	−	16.1753i	−0.789160	−	0.527300i	0.0944465	−	0.995530i	$-0.469892\pi$
$941$	−24.2081	−	16.1753i	−0.789160	−	0.527300i	−0.883607	+	0.468230i	$0.844892\pi$
$942$	3.77466	+	50.6175i	0.122985	+	1.64921i
$943$	1.79579	+	1.79579i	0.0584789	+	0.0584789i
$944$	28.5111	+	25.0531i	0.927957	+	0.815410i
$945$	5.05783	+	4.78521i	0.164531	+	0.155663i
$946$	−2.21917	−	1.94713i	−0.0721515	−	0.0633066i
$947$	19.9307	+	13.3172i	0.647660	+	0.432752i	0.835532	−	0.549441i	$-0.185159\pi$
$947$	19.9307	+	13.3172i	0.647660	+	0.432752i	−0.187873	+	0.982193i	$0.560159\pi$
$948$	−10.0418	−	28.7540i	−0.326141	−	0.933888i
$949$	13.7513	+	2.73530i	0.446385	+	0.0887916i
$950$	36.5055	−	9.77202i	1.18440	−	0.317046i
$951$	13.0380	+	30.6726i	0.422785	+	0.994627i
$952$	57.8964	+	38.7469i	1.87643	+	1.25579i
$953$	−3.75063	+	9.05482i	−0.121495	+	0.293314i	−0.972912	−	0.231174i	$-0.925743\pi$
$953$	−3.75063	+	9.05482i	−0.121495	+	0.293314i	0.851418	+	0.524488i	$0.175743\pi$
$954$	−2.14747	+	18.9766i	−0.0695270	+	0.614389i
$955$	0.0817036	+	0.122278i	0.00264387	+	0.00395683i
$956$	−41.5054	+	5.44357i	−1.34238	+	0.176058i
$957$	33.3900	−	6.96266i	1.07934	−	0.225071i
$958$	9.45265	−	27.8242i	0.305401	−	0.898958i
$959$	62.5303			2.01921
$960$	1.99763	+	4.71884i	0.0644734	+	0.152300i
$961$	−16.0354			−0.517271
$962$	−10.4591	+	30.7867i	−0.337215	+	0.992604i
$963$	−4.58903	−	21.0336i	−0.147879	−	0.677799i
$964$	−1.19787	−	9.13334i	−0.0385806	−	0.294165i
$965$	0.928888	+	1.39018i	0.0299020	+	0.0447515i
$966$	−0.899245	+	7.33942i	−0.0289327	+	0.236142i
$967$	−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
$969$	59.5382	−	25.3078i	1.91264	−	0.813005i
$970$	6.78917	−	1.81737i	0.217987	−	0.0583521i
$971$	−24.7990	−	4.93283i	−0.795838	−	0.158302i	−0.219607	−	0.975589i	$-0.570477\pi$
$971$	−24.7990	−	4.93283i	−0.795838	−	0.158302i	−0.576232	+	0.817286i	$0.695477\pi$
$972$	−11.3586	−	29.0342i	−0.364326	−	0.931272i
$973$	34.0046	+	22.7211i	1.09014	+	0.728406i
$974$	35.1676	+	30.8564i	1.12684	+	0.988703i
$975$	12.9400	+	12.7033i	0.414413	+	0.406833i
$976$	−30.4163	+	14.9626i	−0.973603	+	0.478940i
$977$	−39.4701	−	39.4701i	−1.26276	−	1.26276i	−0.949750	−	0.313011i	$-0.898662\pi$
$977$	−39.4701	−	39.4701i	−1.26276	−	1.26276i	−0.313011	−	0.949750i	$-0.601338\pi$
$978$	41.0826	−	3.06362i	1.31368	−	0.0979638i
$979$	−17.8976	−	11.9588i	−0.572010	−	0.382205i
$980$	3.40975	−	2.98731i	0.108921	−	0.0954262i
$981$	3.41607	−	19.0004i	0.109067	−	0.606635i
$982$	−1.15887	+	2.00609i	−0.0369812	+	0.0640170i
$983$	11.8108	+	28.5137i	0.376705	+	0.909446i	0.992579	+	0.121601i	$0.0388029\pi$
$983$	11.8108	+	28.5137i	0.376705	+	0.909446i	−0.615874	+	0.787844i	$0.711197\pi$
$984$	−5.59755	+	13.8451i	−0.178443	+	0.441367i
$985$	−1.47119	+	3.55177i	−0.0468761	+	0.113169i
$986$	−36.4963	+	27.9904i	−1.16228	+	0.891396i
$987$	−25.7068	+	17.5221i	−0.818256	+	0.557734i
$988$	−6.13422	+	22.8483i	−0.195156	+	0.726903i
$989$	0.0824357	+	0.414432i	0.00262130	+	0.0131782i
$990$	2.96123	+	5.73885i	0.0941141	+	0.182393i
$991$	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
$996$	5.72377	+	9.71675i	0.181364	+	0.307887i
$997$	−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
$999$	−19.8095	+	51.8393i	−0.626744	+	1.64012i

Twists

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

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

\(f(q)\)	\(=\)	\(q+(-1.33905 - 0.454913i) q^{2} +(-0.353572 - 1.69558i) q^{3} +(1.58611 + 1.21830i) q^{4} +(0.205456 + 0.307487i) q^{5} +(-0.297891 + 2.43131i) q^{6} +(1.38662 - 3.34760i) q^{7} +(-1.56966 - 2.35291i) q^{8} +(-2.74997 + 1.19902i) q^{9} +O(q^{10})\)	\(q+(-1.33905 - 0.454913i) q^{2} +(-0.353572 - 1.69558i) q^{3} +(1.58611 + 1.21830i) q^{4} +(0.205456 + 0.307487i) q^{5} +(-0.297891 + 2.43131i) q^{6} +(1.38662 - 3.34760i) q^{7} +(-1.56966 - 2.35291i) q^{8} +(-2.74997 + 1.19902i) q^{9} +(-0.135236 - 0.505205i) q^{10} +(4.03685 + 0.802979i) q^{11} +(1.50492 - 3.12013i) q^{12} +(-1.78994 - 1.19600i) q^{13} +(-3.37962 + 3.85181i) q^{14} +(0.448725 - 0.457086i) q^{15} +(1.03148 + 3.86472i) q^{16} +(-4.80663 - 4.80663i) q^{17} +(4.22780 - 0.354545i) q^{18} +(-4.56869 - 3.05270i) q^{19} +(-0.0487360 + 0.738016i) q^{20} +(-6.16639 - 1.16751i) q^{21} +(-5.04025 - 2.91164i) q^{22} +(0.318818 + 0.769695i) q^{23} +(-3.43455 + 3.49340i) q^{24} +(1.86108 - 4.49305i) q^{25} +(1.85275 + 2.41577i) q^{26} +(3.00534 + 4.23886i) q^{27} +(6.27772 - 3.62033i) q^{28} +(0.933395 + 4.69249i) q^{29} +(-0.808800 + 0.407930i) 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} +(-5.82252 - 1.44853i) q^{36} +(5.93353 + 8.88016i) q^{37} +(4.72899 + 6.16608i) q^{38} +(-1.39504 + 3.45786i) q^{39} +(0.400993 - 0.966069i) q^{40} +(2.81632 - 1.16656i) q^{41} +(7.72599 + 4.36852i) q^{42} +(0.497451 + 0.0989491i) q^{43} +(5.42461 + 6.19171i) q^{44} +(-0.933682 - 0.599236i) q^{45} +(-0.0767692 - 1.17569i) q^{46} +(3.50520 - 3.50520i) q^{47} +(6.18823 - 3.11541i) q^{48} +(-4.33396 - 4.33396i) q^{49} +(-4.53602 + 5.16978i) q^{50} +(-6.45054 + 9.84952i) q^{51} +(-1.38195 - 4.07768i) q^{52} +(-0.878174 + 4.41488i) q^{53} +(-2.09599 - 7.04321i) q^{54} +(0.582490 + 1.40626i) q^{55} +(-10.0531 + 1.99199i) q^{56} +(-3.56074 + 8.82593i) q^{57} +(0.884813 - 6.70810i) q^{58} +(7.88950 - 5.27159i) q^{59} +(1.26860 - 0.178306i) 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} +(-3.15483 + 9.57562i) q^{66} +(0.680415 - 0.135343i) q^{67} +(-1.76791 - 13.4798i) q^{68} +(1.19235 - 0.812723i) q^{69} +(-1.87875 - 0.247811i) q^{70} +(7.27127 + 3.01186i) q^{71} +(7.13769 + 4.58839i) q^{72} +(-6.01717 + 2.49239i) q^{73} +(-3.90560 - 14.5902i) q^{74} +(-8.27634 - 1.56700i) q^{75} +(-3.52733 - 10.4080i) q^{76} +(8.28563 - 12.4003i) q^{77} +(3.44105 - 3.99562i) q^{78} +(6.21702 - 6.21702i) q^{79} +(-0.976426 + 1.11120i) q^{80} +(6.12472 - 6.59453i) q^{81} +(-4.30188 + 0.280899i) q^{82} +(-1.80864 + 2.70682i) q^{83} +(-8.35819 - 9.36432i) q^{84} +(0.490425 - 2.46553i) q^{85} +(-0.621098 - 0.358794i) q^{86} +(7.62647 - 3.24178i) q^{87} +(-4.44713 - 10.7587i) q^{88} +(-4.83165 - 2.00134i) q^{89} +(0.977646 + 1.22715i) q^{90} +(-6.48570 + 4.33361i) q^{91} +(-0.432040 + 1.60924i) q^{92} +(-1.36776 - 6.55919i) q^{93} +(-6.28820 + 3.09908i) q^{94} -2.03201i q^{95} +(-9.70359 + 1.35659i) q^{96} +13.4384i q^{97} +(3.83182 + 7.77496i) q^{98} +(-12.0640 + 2.63208i) 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

Introduction

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