LMFDB - Embedded newform 192.2.s.a.107.25

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			107.25
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.25

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.13356 - 0.845597i) q^{2} +(-1.46882 - 0.917918i) q^{3} +(0.569932 - 1.91708i) q^{4} +(0.908097 + 1.35906i) q^{5} +(-2.44119 + 0.201510i) q^{6} +(1.44850 - 3.49700i) q^{7} +(-0.975019 - 2.65506i) q^{8} +(1.31485 + 2.69651i) q^{9} +O(q^{10})$	\(q+(1.13356 - 0.845597i) q^{2} +(-1.46882 - 0.917918i) q^{3} +(0.569932 - 1.91708i) q^{4} +(0.908097 + 1.35906i) q^{5} +(-2.44119 + 0.201510i) q^{6} +(1.44850 - 3.49700i) q^{7} +(-0.975019 - 2.65506i) q^{8} +(1.31485 + 2.69651i) q^{9} +(2.17861 + 0.772701i) q^{10} +(-3.39536 - 0.675380i) q^{11} +(-2.59684 + 2.29268i) q^{12} +(-1.72260 - 1.15100i) q^{13} +(-1.31508 - 5.18892i) q^{14} +(-0.0863210 - 2.82978i) q^{15} +(-3.35036 - 2.18520i) q^{16} +(1.04981 + 1.04981i) q^{17} +(3.77063 + 1.94483i) q^{18} +(6.92609 + 4.62786i) q^{19} +(3.12298 - 0.966318i) q^{20} +(-5.33754 + 3.80684i) q^{21} +(-4.41996 + 2.10552i) q^{22} +(1.88173 + 4.54290i) q^{23} +(-1.00500 + 4.79479i) q^{24} +(0.891004 - 2.15107i) q^{25} +(-2.92596 + 0.151889i) q^{26} +(0.543893 - 5.16761i) q^{27} +(-5.87846 - 4.76994i) q^{28} +(1.76843 + 8.89050i) q^{29} +(-2.49070 - 3.13474i) q^{30} +2.37466 q^{31} +(-5.64564 + 0.355984i) q^{32} +(4.36723 + 4.10868i) q^{33} +(2.07775 + 0.302311i) q^{34} +(6.06802 - 1.20700i) q^{35} +(5.91879 - 0.983848i) q^{36} +(1.65056 + 2.47024i) q^{37} +(11.7645 - 0.610702i) q^{38} +(1.47366 + 3.27182i) q^{39} +(2.72298 - 3.73617i) q^{40} +(1.72291 - 0.713652i) q^{41} +(-2.83139 + 8.82871i) q^{42} +(-9.26200 - 1.84233i) q^{43} +(-3.22988 + 6.12425i) q^{44} +(-2.47071 + 4.23566i) q^{45} +(5.97452 + 3.55848i) q^{46} +(-0.0451118 + 0.0451118i) q^{47} +(2.91523 + 6.28502i) q^{48} +(-5.18107 - 5.18107i) q^{49} +(-0.808932 - 3.19181i) q^{50} +(-0.578342 - 2.50562i) q^{51} +(-3.18832 + 2.64636i) q^{52} +(1.12932 - 5.67750i) q^{53} +(-3.75318 - 6.31773i) q^{54} +(-2.16544 - 5.22783i) q^{55} +(-10.6970 - 0.436222i) q^{56} +(-5.92516 - 13.1551i) q^{57} +(9.52241 + 8.58257i) q^{58} +(-5.63408 + 3.76457i) q^{59} +(-5.47409 - 1.44730i) q^{60} +(1.08231 + 5.44112i) q^{61} +(2.69183 - 2.00801i) q^{62} +(11.3342 - 0.692136i) q^{63} +(-6.09867 + 5.17747i) q^{64} -3.38634i q^{65} +(8.42482 + 0.964529i) q^{66} +(-8.44485 + 1.67979i) q^{67} +(2.61089 - 1.41425i) q^{68} +(1.40609 - 8.39997i) q^{69} +(5.85785 - 6.49932i) q^{70} +(-7.65191 - 3.16953i) q^{71} +(5.87738 - 6.12016i) q^{72} +(6.47085 - 2.68031i) q^{73} +(3.95985 + 1.40447i) q^{74} +(-3.28323 + 2.34167i) q^{75} +(12.8194 - 10.6403i) q^{76} +(-7.28000 + 10.8953i) q^{77} +(4.43712 + 2.46269i) q^{78} +(-4.09884 + 4.09884i) q^{79} +(-0.0726180 - 6.53773i) q^{80} +(-5.54232 + 7.09103i) q^{81} +(1.34956 - 2.26586i) q^{82} +(3.39292 - 5.07787i) q^{83} +(4.25597 + 12.4021i) q^{84} +(-0.473430 + 2.38009i) q^{85} +(-12.0569 + 5.74353i) q^{86} +(5.56325 - 14.6818i) q^{87} +(1.51737 + 9.67340i) q^{88} +(-2.79449 - 1.15752i) q^{89} +(0.780954 + 6.89062i) q^{90} +(-6.52024 + 4.35669i) q^{91} +(9.78154 - 1.01828i) q^{92} +(-3.48794 - 2.17974i) q^{93} +(-0.0129907 + 0.0892834i) q^{94} +13.6155i q^{95} +(8.61919 + 4.65936i) q^{96} -5.24368i q^{97} +(-10.2542 - 1.49197i) q^{98} +(-2.64324 - 10.0437i) 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 $

$2$	1.13356	−	0.845597i	0.801550	−	0.597927i
$2$	1.13356	−	0.845597i	0.801550	−	0.597927i
$3$	−1.46882	−	0.917918i	−0.848023	−	0.529960i
$3$	−1.46882	−	0.917918i	−0.848023	−	0.529960i
$4$	0.569932	−	1.91708i	0.284966	−	0.958538i
$5$	0.908097	+	1.35906i	0.406114	+	0.607792i	0.977001	−	0.213237i	$-0.0684006\pi$
$5$	0.908097	+	1.35906i	0.406114	+	0.607792i	−0.570887	+	0.821029i	$0.693401\pi$
$6$	−2.44119	+	0.201510i	−0.996610	+	0.0822662i
$7$	1.44850	−	3.49700i	0.547483	−	1.32174i	−0.371862	−	0.928288i	$-0.621281\pi$
$7$	1.44850	−	3.49700i	0.547483	−	1.32174i	0.919345	−	0.393452i	$-0.128719\pi$
$8$	−0.975019	−	2.65506i	−0.344721	−	0.938705i
$9$	1.31485	+	2.69651i	0.438285	+	0.898836i
$10$	2.17861	+	0.772701i	0.688936	+	0.244349i
$11$	−3.39536	−	0.675380i	−1.02374	−	0.203635i	−0.345457	−	0.938435i	$-0.612276\pi$
$11$	−3.39536	−	0.675380i	−1.02374	−	0.203635i	−0.678284	+	0.734800i	$0.737276\pi$
$12$	−2.59684	+	2.29268i	−0.749644	+	0.661841i
$13$	−1.72260	−	1.15100i	−0.477763	−	0.319231i	0.293266	−	0.956031i	$-0.405258\pi$
$13$	−1.72260	−	1.15100i	−0.477763	−	0.319231i	−0.771029	+	0.636800i	$0.780258\pi$
$14$	−1.31508	−	5.18892i	−0.351470	−	1.38680i
$15$	−0.0863210	−	2.82978i	−0.0222880	−	0.730645i
$16$	−3.35036	−	2.18520i	−0.837589	−	0.546301i
$17$	1.04981	+	1.04981i	0.254617	+	0.254617i	0.822860	−	0.568244i	$-0.192377\pi$
$17$	1.04981	+	1.04981i	0.254617	+	0.254617i	−0.568244	+	0.822860i	$0.692377\pi$
$18$	3.77063	+	1.94483i	0.888746	+	0.458400i
$19$	6.92609	+	4.62786i	1.58895	+	1.06170i	0.958349	+	0.285600i	$0.0921927\pi$
$19$	6.92609	+	4.62786i	1.58895	+	1.06170i	0.630604	+	0.776105i	$0.282807\pi$
$20$	3.12298	−	0.966318i	0.698320	−	0.216075i
$21$	−5.33754	+	3.80684i	−1.16475	+	0.830721i
$22$	−4.41996	+	2.10552i	−0.942339	+	0.448899i
$23$	1.88173	+	4.54290i	0.392368	+	0.947260i	0.989423	+	0.145060i	$0.0463375\pi$
$23$	1.88173	+	4.54290i	0.392368	+	0.947260i	−0.597055	+	0.802200i	$0.703663\pi$
$24$	−1.00500	+	4.79479i	−0.205145	+	0.978732i
$25$	0.891004	−	2.15107i	0.178201	−	0.430215i
$26$	−2.92596	+	0.151889i	−0.573828	+	0.0297878i
$27$	0.543893	−	5.16761i	0.104672	−	0.994507i
$28$	−5.87846	−	4.76994i	−1.11092	−	0.901433i
$29$	1.76843	+	8.89050i	0.328389	+	1.65093i	0.693866	+	0.720105i	$0.255906\pi$
$29$	1.76843	+	8.89050i	0.328389	+	1.65093i	−0.365476	+	0.930821i	$0.619094\pi$
$30$	−2.49070	−	3.13474i	−0.454738	−	0.572322i
$31$	2.37466			0.426502			0.213251	−	0.976997i	$-0.431595\pi$
$31$	2.37466			0.426502			0.213251	+	0.976997i	$0.431595\pi$
$32$	−5.64564	+	0.355984i	−0.998018	+	0.0629296i
$33$	4.36723	+	4.10868i	0.760237	+	0.715229i
$34$	2.07775	+	0.302311i	0.356331	+	0.0518458i
$35$	6.06802	−	1.20700i	1.02568	−	0.204021i
$36$	5.91879	−	0.983848i	0.986465	−	0.163975i
$37$	1.65056	+	2.47024i	0.271351	+	0.406106i	0.941970	−	0.335696i	$-0.108972\pi$
$37$	1.65056	+	2.47024i	0.271351	+	0.406106i	−0.670619	+	0.741802i	$0.733972\pi$
$38$	11.7645	−	0.610702i	1.90845	−	0.0990689i
$39$	1.47366	+	3.27182i	0.235974	+	0.523910i
$40$	2.72298	−	3.73617i	0.430541	−	0.590740i
$41$	1.72291	−	0.713652i	0.269073	−	0.111454i	−0.244068	−	0.969758i	$-0.578482\pi$
$41$	1.72291	−	0.713652i	0.269073	−	0.111454i	0.513141	+	0.858305i	$0.328482\pi$
$42$	−2.83139	+	8.82871i	−0.436892	+	1.36230i
$43$	−9.26200	−	1.84233i	−1.41244	−	0.280952i	−0.570845	−	0.821058i	$-0.693384\pi$
$43$	−9.26200	−	1.84233i	−1.41244	−	0.280952i	−0.841597	+	0.540106i	$0.818384\pi$
$44$	−3.22988	+	6.12425i	−0.486923	+	0.923265i
$45$	−2.47071	+	4.23566i	−0.368312	+	0.631415i
$46$	5.97452	+	3.55848i	0.880896	+	0.524669i
$47$	−0.0451118	+	0.0451118i	−0.00658023	+	0.00658023i	−0.710389	−	0.703809i	$-0.751481\pi$
$47$	−0.0451118	+	0.0451118i	−0.00658023	+	0.00658023i	0.703809	+	0.710389i	$0.251481\pi$
$48$	2.91523	+	6.28502i	0.420777	+	0.907164i
$49$	−5.18107	−	5.18107i	−0.740153	−	0.740153i
$50$	−0.808932	−	3.19181i	−0.114400	−	0.451390i
$51$	−0.578342	−	2.50562i	−0.0809841	−	0.350858i
$52$	−3.18832	+	2.64636i	−0.442141	+	0.366984i
$53$	1.12932	−	5.67750i	0.155125	−	0.779865i	−0.822378	−	0.568942i	$-0.807353\pi$
$53$	1.12932	−	5.67750i	0.155125	−	0.779865i	0.977503	−	0.210923i	$-0.0676469\pi$
$54$	−3.75318	−	6.31773i	−0.510743	−	0.859734i
$55$	−2.16544	−	5.22783i	−0.291988	−	0.704920i
$56$	−10.6970	−	0.436222i	−1.42945	−	0.0582926i
$57$	−5.92516	−	13.1551i	−0.784807	−	1.74243i
$58$	9.52241	+	8.58257i	1.25035	+	1.12695i
$59$	−5.63408	+	3.76457i	−0.733495	+	0.490106i	−0.865353	−	0.501163i	$-0.832906\pi$
$59$	−5.63408	+	3.76457i	−0.733495	+	0.490106i	0.131858	+	0.991269i	$0.457906\pi$
$60$	−5.47409	−	1.44730i	−0.706702	−	0.186845i
$61$	1.08231	+	5.44112i	0.138575	+	0.696664i	0.986132	+	0.165960i	$0.0530724\pi$
$61$	1.08231	+	5.44112i	0.138575	+	0.696664i	−0.847557	+	0.530704i	$0.821928\pi$
$62$	2.69183	−	2.00801i	0.341863	−	0.255017i
$63$	11.3342	−	0.692136i	1.42798	−	0.0872009i
$64$	−6.09867	+	5.17747i	−0.762334	+	0.647183i
$65$		−	3.38634i		−	0.420024i
$66$	8.42482	+	0.964529i	1.03702	+	0.118725i
$67$	−8.44485	+	1.67979i	−1.03170	+	0.205218i	−0.681778	−	0.731559i	$-0.738793\pi$
$67$	−8.44485	+	1.67979i	−1.03170	+	0.205218i	−0.349925	+	0.936778i	$0.613793\pi$
$68$	2.61089	−	1.41425i	0.316617	−	0.171503i
$69$	1.40609	−	8.39997i	0.169273	−	1.01124i
$70$	5.85785	−	6.49932i	0.700147	−	0.776817i
$71$	−7.65191	−	3.16953i	−0.908115	−	0.376153i	−0.120780	−	0.992679i	$-0.538540\pi$
$71$	−7.65191	−	3.16953i	−0.908115	−	0.376153i	−0.787335	+	0.616526i	$0.788540\pi$
$72$	5.87738	−	6.12016i	0.692656	−	0.721268i
$73$	6.47085	−	2.68031i	0.757355	−	0.313707i	0.0296166	−	0.999561i	$-0.490571\pi$
$73$	6.47085	−	2.68031i	0.757355	−	0.313707i	0.727739	+	0.685855i	$0.240571\pi$
$74$	3.95985	+	1.40447i	0.460323	+	0.163266i
$75$	−3.28323	+	2.34167i	−0.379115	+	0.270392i
$76$	12.8194	−	10.6403i	1.47048	−	1.22052i
$77$	−7.28000	+	10.8953i	−0.829633	+	1.24163i
$78$	4.43712	+	2.46269i	0.502405	+	0.278845i
$79$	−4.09884	+	4.09884i	−0.461155	+	0.461155i	−0.899034	−	0.437879i	$-0.855730\pi$
$79$	−4.09884	+	4.09884i	−0.461155	+	0.461155i	0.437879	+	0.899034i	$0.355730\pi$
$80$	−0.0726180	−	6.53773i	−0.00811893	−	0.730940i
$81$	−5.54232	+	7.09103i	−0.615813	+	0.787892i
$82$	1.34956	−	2.26586i	0.149034	−	0.250222i
$83$	3.39292	−	5.07787i	0.372422	−	0.557369i	−0.597164	−	0.802119i	$-0.703706\pi$
$83$	3.39292	−	5.07787i	0.372422	−	0.557369i	0.969586	+	0.244750i	$0.0787060\pi$
$84$	4.25597	+	12.4021i	0.464365	+	1.35318i
$85$	−0.473430	+	2.38009i	−0.0513507	+	0.258157i
$86$	−12.0569	+	5.74353i	−1.30013	+	0.619340i
$87$	5.56325	−	14.6818i	0.596443	−	1.57406i
$88$	1.51737	+	9.67340i	0.161752	+	1.03119i
$89$	−2.79449	−	1.15752i	−0.296215	−	0.122696i	0.229626	−	0.973279i	$-0.426250\pi$
$89$	−2.79449	−	1.15752i	−0.296215	−	0.122696i	−0.525842	+	0.850582i	$0.676250\pi$
$90$	0.780954	+	6.89062i	0.0823198	+	0.726335i
$91$	−6.52024	+	4.35669i	−0.683507	+	0.456705i
$92$	9.78154	−	1.01828i	1.01980	−	0.106163i
$93$	−3.48794	−	2.17974i	−0.361683	−	0.226029i
$94$	−0.0129907	+	0.0892834i	−0.00133989	+	0.00920888i
$95$			13.6155i			1.39693i
$96$	8.61919	+	4.65936i	0.879692	+	0.475544i
$97$		−	5.24368i		−	0.532415i	−0.963916	−	0.266208i	$-0.914229\pi$
$97$		−	5.24368i		−	0.532415i	0.963916	−	0.266208i	$-0.0857707\pi$
$98$	−10.2542	−	1.49197i	−1.03583	−	0.150712i
$99$	−2.64324	−	10.0437i	−0.265656	−	1.00943i
$100$	−3.61596	−	2.93409i	−0.361596	−	0.293409i
$101$	−2.00292	+	1.33831i	−0.199298	+	0.133167i	−0.651215	−	0.758893i	$-0.725740\pi$
$101$	−2.00292	+	1.33831i	−0.199298	+	0.133167i	0.451917	+	0.892060i	$0.350740\pi$
$102$	−2.77434	−	2.35124i	−0.274700	−	0.232807i
$103$	12.3098	+	5.09889i	1.21292	+	0.502409i	0.895153	−	0.445759i	$-0.147066\pi$
$103$	12.3098	+	5.09889i	1.21292	+	0.502409i	0.317770	+	0.948168i	$0.397066\pi$
$104$	−1.37642	+	5.69585i	−0.134969	+	0.558524i
$105$	−10.0208	−	3.79708i	−0.977925	−	0.370557i
$106$	−3.52071	−	7.39076i	−0.341962	−	0.717854i
$107$	1.54725	−	7.77853i	0.149578	−	0.751979i	−0.831065	−	0.556175i	$-0.812268\pi$
$107$	1.54725	−	7.77853i	0.149578	−	0.751979i	0.980643	−	0.195804i	$-0.0627316\pi$
$108$	−9.59671	−	3.98787i	−0.923444	−	0.383733i
$109$	0.951386	−	1.42385i	0.0911263	−	0.136380i	−0.783106	−	0.621889i	$-0.786366\pi$
$109$	0.951386	−	1.42385i	0.0911263	−	0.136380i	0.874232	+	0.485509i	$0.161366\pi$
$110$	−6.87530	−	4.09499i	−0.655534	−	0.390442i
$111$	−0.156898	−	5.14342i	−0.0148921	−	0.488192i
$112$	−12.4946	+	8.55090i	−1.18063	+	0.807985i
$113$	1.49623	−	1.49623i	0.140753	−	0.140753i	−0.633219	−	0.773973i	$-0.718267\pi$
$113$	1.49623	−	1.49623i	0.140753	−	0.140753i	0.773973	+	0.633219i	$0.218267\pi$
$114$	−17.8404	−	9.90180i	−1.67091	−	0.927389i
$115$	−4.46530	+	6.68279i	−0.416391	+	0.623173i
$116$	18.0517	+	1.67676i	1.67605	+	0.155684i
$117$	0.838726	−	6.15840i	0.0775403	−	0.569345i
$118$	−3.20328	+	9.03155i	−0.294886	+	0.831421i
$119$	5.19184	−	2.15053i	0.475936	−	0.197139i
$120$	−7.42906	+	2.98827i	−0.678177	+	0.272791i
$121$	0.909689	+	0.376805i	0.0826990	+	0.0342550i
$122$	5.82786	+	5.25266i	0.527630	+	0.475554i
$123$	−3.18571	−	0.533263i	−0.287246	−	0.0480827i
$124$	1.35339	−	4.55240i	0.121538	−	0.408818i
$125$	11.7482	−	2.33686i	1.05079	−	0.209015i
$126$	12.2628	−	10.3688i	1.09246	−	0.923725i
$127$			14.4728i			1.28425i	0.766598	+	0.642127i	$0.221948\pi$
$127$			14.4728i			1.28425i	−0.766598	+	0.642127i	$0.778052\pi$
$128$	−2.53518	+	11.0260i	−0.224081	+	0.974571i
$129$	11.9131	+	11.2078i	1.04889	+	0.986792i
$130$	−2.86348	−	3.83864i	−0.251144	−	0.336671i
$131$	−4.32387	−	21.7376i	−0.377779	−	1.89922i	−0.434204	−	0.900815i	$-0.642970\pi$
$131$	−4.32387	−	21.7376i	−0.377779	−	1.89922i	0.0564253	−	0.998407i	$-0.482030\pi$
$132$	10.3657	−	6.03064i	0.902215	−	0.524900i
$133$	26.2161	−	17.5170i	2.27322	−	1.51892i
$134$	−8.15235	+	9.04509i	−0.704256	+	0.781376i
$135$	7.51702	−	3.95351i	0.646962	−	0.340264i
$136$	1.76373	−	3.81090i	0.151238	−	0.326782i
$137$	−3.88223	−	9.37254i	−0.331682	−	0.800750i	−0.998459	−	0.0554933i	$-0.982327\pi$
$137$	−3.88223	−	9.37254i	−0.331682	−	0.800750i	0.666778	−	0.745257i	$-0.267673\pi$
$138$	−5.50910	−	10.7109i	−0.468966	−	0.911771i
$139$	2.91878	−	14.6737i	0.247568	−	1.24461i	−0.634291	−	0.773095i	$-0.718708\pi$
$139$	2.91878	−	14.6737i	0.247568	−	1.24461i	0.881859	−	0.471514i	$-0.156292\pi$
$140$	1.14444	−	12.3208i	0.0967227	−	1.04129i
$141$	0.107670	−	0.0248521i	0.00906744	−	0.00209292i
$142$	−11.3541	+	2.87757i	−0.952812	+	0.241481i
$143$	5.07149	+	5.07149i	0.424099	+	0.424099i
$144$	1.48719	−	11.9075i	0.123933	−	0.992291i
$145$	−10.4769	+	10.4769i	−0.870055	+	0.870055i
$146$	5.06865	−	8.51003i	0.419484	−	0.704295i
$147$	2.85425	+	12.3658i	0.235415	+	1.01992i
$148$	5.67635	−	1.75639i	0.466593	−	0.144374i
$149$	−3.95335	−	0.786371i	−0.323871	−	0.0644220i	0.0304772	−	0.999535i	$-0.490297\pi$
$149$	−3.95335	−	0.786371i	−0.323871	−	0.0644220i	−0.354348	+	0.935113i	$0.615297\pi$
$150$	−1.74164	+	5.43072i	−0.142205	+	0.443416i
$151$	−15.1163	+	6.26136i	−1.23014	+	0.509542i	−0.900621	−	0.434605i	$-0.856888\pi$
$151$	−15.1163	+	6.26136i	−1.23014	+	0.509542i	−0.329523	+	0.944148i	$0.606888\pi$
$152$	5.53418	−	22.9014i	0.448881	−	1.85755i
$153$	−1.45048	+	4.21118i	−0.117264	+	0.340453i
$154$	0.960682	+	18.5064i	0.0774140	+	1.49129i
$155$	2.15642	+	3.22732i	0.173208	+	0.259224i
$156$	7.11221	−	0.960399i	0.569432	−	0.0768935i
$157$	−8.64769	+	1.72013i	−0.690161	+	0.137282i	−0.527697	−	0.849433i	$-0.676944\pi$
$157$	−8.64769	+	1.72013i	−0.690161	+	0.137282i	−0.162464	+	0.986714i	$0.551944\pi$
$158$	−1.18033	+	8.11225i	−0.0939018	+	0.645376i
$159$	−6.87025	+	7.30259i	−0.544846	+	0.579133i
$160$	−5.61060	−	7.34952i	−0.443557	−	0.581031i
$161$	18.6122			1.46685
$162$	−0.286419	+	12.7247i	−0.0225032	+	0.999747i
$163$	3.04203	+	15.2933i	0.238270	+	1.19786i	0.895807	+	0.444443i	$0.146598\pi$
$163$	3.04203	+	15.2933i	0.238270	+	1.19786i	−0.657537	+	0.753422i	$0.728402\pi$
$164$	−0.386185	−	3.70968i	−0.0301559	−	0.289677i
$165$	−1.61808	+	9.66642i	−0.125968	+	0.752530i
$166$	−0.447737	−	8.62513i	−0.0347511	−	0.669440i
$167$	−8.75560	+	21.1379i	−0.677529	+	1.63570i	0.0909738	+	0.995853i	$0.471002\pi$
$167$	−8.75560	+	21.1379i	−0.677529	+	1.63570i	−0.768503	+	0.639846i	$0.778998\pi$
$168$	15.3116	+	10.4597i	1.18132	+	0.806987i
$169$	−3.33235	−	8.04500i	−0.256334	−	0.618846i
$170$	1.47594	+	3.09832i	0.113199	+	0.237630i
$171$	−3.37228	+	24.7612i	−0.257885	+	1.89354i
$172$	−8.81059	+	16.7060i	−0.671801	+	1.27382i
$173$	−12.1698	−	8.13161i	−0.925254	−	0.618235i	−0.000994366	−	1.00000i	$-0.500317\pi$
$173$	−12.1698	−	8.13161i	−0.925254	−	0.618235i	−0.924260	+	0.381765i	$0.875317\pi$
$174$	−6.10860	−	21.3470i	−0.463092	−	1.61831i
$175$	−6.23167	−	6.23167i	−0.471070	−	0.471070i
$176$	9.89984	+	9.68233i	0.746228	+	0.729833i
$177$	11.7310	−	0.357849i	0.881757	−	0.0268976i
$178$	−4.14652	+	1.05089i	−0.310795	+	0.0787679i
$179$	9.26280	+	6.18920i	0.692334	+	0.462603i	0.851299	−	0.524682i	$-0.175816\pi$
$179$	9.26280	+	6.18920i	0.692334	+	0.462603i	−0.158965	+	0.987284i	$0.550816\pi$
$180$	6.71195	+	7.15058i	0.500279	+	0.532973i
$181$	−4.43070	−	0.881322i	−0.329332	−	0.0655081i	0.0276553	−	0.999618i	$-0.491196\pi$
$181$	−4.43070	−	0.881322i	−0.329332	−	0.0655081i	−0.356987	+	0.934109i	$0.616196\pi$
$182$	−3.70711	+	10.4521i	−0.274789	+	0.774760i
$183$	3.40479	−	8.98549i	0.251690	−	0.664227i
$184$	10.2269	−	9.42552i	0.753940	−	0.694859i
$185$	−1.85835	+	4.48645i	−0.136628	+	0.329850i
$186$	−5.79699	+	0.478518i	−0.425056	+	0.0350867i
$187$	−2.85547	−	4.27352i	−0.208813	−	0.312511i
$188$	0.0607720	+	0.112193i	0.00443226	+	0.00818254i
$189$	−17.2833	−	9.38729i	−1.25717	−	0.682825i
$190$	11.5133	+	15.4341i	0.835260	+	1.11971i
$191$	−2.51135			−0.181715			−0.0908576	−	0.995864i	$-0.528961\pi$
$191$	−2.51135			−0.181715			−0.0908576	+	0.995864i	$0.528961\pi$
$192$	13.7103	−	2.00668i	0.989458	−	0.144819i
$193$	6.00321			0.432121			0.216060	−	0.976380i	$-0.430679\pi$
$193$	6.00321			0.432121			0.216060	+	0.976380i	$0.430679\pi$
$194$	−4.43404	−	5.94405i	−0.318346	−	0.426758i
$195$	−3.10839	+	4.97392i	−0.222596	+	0.356190i
$196$	−12.8854	+	6.97964i	−0.920382	+	0.498546i
$197$	10.0186	+	14.9939i	0.713798	+	1.06827i	0.994111	+	0.108365i	$0.0345617\pi$
$197$	10.0186	+	14.9939i	0.713798	+	1.06827i	−0.280313	+	0.959909i	$0.590438\pi$
$198$	−11.4892	−	9.15001i	−0.816499	−	0.650263i
$199$	−4.17064	+	10.0688i	−0.295649	+	0.713759i	0.704344	+	0.709859i	$0.251241\pi$
$199$	−4.17064	+	10.0688i	−0.295649	+	0.713759i	−0.999992	+	0.00390010i	$0.998759\pi$
$200$	−6.57997	−	0.268329i	−0.465274	−	0.0189737i
$201$	13.9459	+	5.28438i	0.983665	+	0.372732i
$202$	−1.13877	+	3.21073i	−0.0801236	+	0.225906i
$203$	33.6516	+	6.69373i	2.36188	+	0.469807i
$204$	−5.13309	−	0.319310i	−0.359388	−	0.0223562i
$205$	2.53447	+	1.69348i	0.177015	+	0.118278i
$206$	18.2656	−	4.62923i	1.27262	−	0.322533i
$207$	−9.77577	+	11.0474i	−0.679463	+	0.767844i
$208$	3.25614	+	7.62050i	0.225773	+	0.528387i
$209$	−20.3910	−	20.3910i	−1.41048	−	1.41048i
$210$	−14.5700	+	4.16929i	−1.00542	+	0.287708i
$211$	8.95451	+	5.98321i	0.616454	+	0.411901i	0.824214	−	0.566278i	$-0.191617\pi$
$211$	8.95451	+	5.98321i	0.616454	+	0.411901i	−0.207760	+	0.978180i	$0.566617\pi$
$212$	−10.2406	−	5.40079i	−0.703324	−	0.370928i
$213$	8.32990	+	11.6793i	0.570755	+	0.800251i
$214$	−4.82360	−	10.1258i	−0.329734	−	0.692185i
$215$	−5.90696	−	14.2607i	−0.402851	−	0.972569i
$216$	−14.2506	+	3.59445i	−0.969631	+	0.244571i
$217$	3.43970	−	8.30418i	0.233502	−	0.563724i
$218$	−0.125547	−	2.41851i	−0.00850310	−	0.163802i
$219$	−11.9648	−	2.00281i	−0.808506	−	0.135338i
$220$	−11.2563	+	1.17180i	−0.758899	+	0.0790029i
$221$	−0.600067	−	3.01674i	−0.0403649	−	0.202928i
$222$	−4.52712	−	5.69772i	−0.303840	−	0.382406i
$223$	15.0549			1.00815			0.504076	−	0.863659i	$-0.331833\pi$
$223$	15.0549			1.00815			0.504076	+	0.863659i	$0.331833\pi$
$224$	−6.93286	+	20.2584i	−0.463221	+	1.35357i
$225$	6.97193	−	0.425747i	0.464795	−	0.0283831i
$226$	0.430864	−	2.96128i	0.0286606	−	0.196981i
$227$	3.59460	−	0.715010i	0.238582	−	0.0474569i	−0.0743510	−	0.997232i	$-0.523689\pi$
$227$	3.59460	−	0.715010i	0.238582	−	0.0474569i	0.312933	+	0.949775i	$0.398689\pi$
$228$	−28.5962	+	3.86149i	−1.89383	+	0.255734i
$229$	6.31300	+	9.44807i	0.417175	+	0.624346i	0.979230	−	0.202754i	$-0.0649891\pi$
$229$	6.31300	+	9.44807i	0.417175	+	0.624346i	−0.562055	+	0.827100i	$0.689989\pi$
$230$	0.589249	+	11.3512i	0.0388539	+	0.748476i
$231$	20.6940	−	9.32075i	1.36156	−	0.613261i
$232$	21.8806	−	13.3637i	1.43653	−	0.877370i
$233$	−22.3030	+	9.23819i	−1.46112	+	0.605214i	−0.964813	−	0.262936i	$-0.915309\pi$
$233$	−22.3030	+	9.23819i	−1.46112	+	0.605214i	−0.496302	+	0.868150i	$0.665309\pi$
$234$	−4.25678	−	7.69016i	−0.278274	−	0.502722i
$235$	−0.102276	−	0.0203439i	−0.00667173	−	0.00132709i
$236$	4.00593	+	12.9465i	0.260764	+	0.842746i
$237$	9.78284	−	2.25805i	0.635464	−	0.146676i
$238$	4.06680	−	6.82797i	0.263612	−	0.442592i
$239$	−4.96424	+	4.96424i	−0.321110	+	0.321110i	−0.849193	−	0.528083i	$-0.822911\pi$
$239$	−4.96424	+	4.96424i	−0.321110	+	0.321110i	0.528083	+	0.849193i	$0.322911\pi$
$240$	−5.89443	+	9.66939i	−0.380484	+	0.624156i
$241$	16.3360	+	16.3360i	1.05229	+	1.05229i	0.998555	+	0.0537389i	$0.0171139\pi$
$241$	16.3360	+	16.3360i	1.05229	+	1.05229i	0.0537389	+	0.998555i	$0.482886\pi$
$242$	1.34982	−	0.342097i	0.0867694	−	0.0219908i
$243$	14.6496	−	5.32804i	0.939775	−	0.341794i
$244$	11.0479	+	1.02620i	0.707268	+	0.0656960i
$245$	2.33649	−	11.7463i	0.149273	−	0.750445i
$246$	−4.06213	+	2.08934i	−0.258992	+	0.133211i
$247$	−6.60418	−	15.9439i	−0.420214	−	1.01449i
$248$	−2.31534	−	6.30486i	−0.147024	−	0.400359i
$249$	−9.64466	+	4.34404i	−0.611205	+	0.275292i
$250$	11.3413	−	12.5832i	0.717285	−	0.795832i
$251$	−19.1412	+	12.7898i	−1.20818	+	0.807283i	−0.985841	−	0.167685i	$-0.946371\pi$
$251$	−19.1412	+	12.7898i	−1.20818	+	0.807283i	−0.222344	+	0.974968i	$0.571371\pi$
$252$	5.13287	−	22.1231i	0.323340	−	1.39362i
$253$	−3.32098	−	16.6957i	−0.208788	−	1.04965i
$254$	12.2382	+	16.4058i	0.767891	+	1.02939i
$255$	2.88011	−	3.06135i	0.180360	−	0.191709i
$256$	6.44977	+	14.6424i	0.403111	+	0.915151i
$257$		−	5.49498i		−	0.342768i	−0.985204	−	0.171384i	$-0.945176\pi$
$257$		−	5.49498i		−	0.342768i	0.985204	−	0.171384i	$-0.0548238\pi$
$258$	22.9815	+	2.63108i	1.43077	+	0.163804i
$259$	11.0293	−	2.19386i	0.685326	−	0.136320i
$260$	−6.49188	−	1.92999i	−0.402609	−	0.119693i
$261$	−21.6481	+	16.4583i	−1.33998	+	1.01874i
$262$	−23.2826	−	20.9847i	−1.43840	−	1.29644i
$263$	−19.7415	−	8.17718i	−1.21731	−	0.504227i	−0.320757	−	0.947161i	$-0.603937\pi$
$263$	−19.7415	−	8.17718i	−1.21731	−	0.504227i	−0.896554	+	0.442935i	$0.853937\pi$
$264$	6.65064	−	15.6013i	0.409319	−	0.960193i
$265$	8.74162	−	3.62090i	0.536994	−	0.222430i
$266$	14.9052	−	42.0249i	0.913899	−	2.57671i
$267$	3.04209	+	4.26529i	0.186173	+	0.261032i
$268$	−1.59271	+	17.1468i	−0.0972904	+	1.04741i
$269$	−3.23189	+	4.83687i	−0.197052	+	0.294909i	−0.916816	−	0.399310i	$-0.869250\pi$
$269$	−3.23189	+	4.83687i	−0.197052	+	0.294909i	0.719764	+	0.694218i	$0.244250\pi$
$270$	5.17794	−	10.8379i	0.315120	−	0.659575i
$271$	−4.58692	+	4.58692i	−0.278636	+	0.278636i	−0.832564	−	0.553929i	$-0.813128\pi$
$271$	−4.58692	+	4.58692i	−0.278636	+	0.278636i	0.553929	+	0.832564i	$0.313128\pi$
$272$	−1.22319	−	5.81130i	−0.0741668	−	0.352362i
$273$	13.5761	−	0.414134i	0.821665	−	0.0250645i
$274$	−12.3261	−	7.34156i	−0.744650	−	0.443520i
$275$	−4.47807	+	6.70191i	−0.270038	+	0.404140i
$276$	−15.3020	−	7.48299i	−0.921072	−	0.450423i
$277$	5.93330	−	29.8287i	0.356497	−	1.79223i	−0.220393	−	0.975411i	$-0.570734\pi$
$277$	5.93330	−	29.8287i	0.356497	−	1.79223i	0.576891	−	0.816821i	$-0.304266\pi$
$278$	−9.09943	−	19.1017i	−0.545747	−	1.14564i
$279$	3.12233	+	6.40329i	0.186929	+	0.383355i
$280$	−9.12111	−	14.9341i	−0.545090	−	0.892483i
$281$	−16.3507	−	6.77266i	−0.975399	−	0.404023i	−0.162679	−	0.986679i	$-0.552014\pi$
$281$	−16.3507	−	6.77266i	−0.975399	−	0.404023i	−0.812719	+	0.582656i	$0.802014\pi$
$282$	0.101036	−	0.119217i	0.00601659	−	0.00709925i
$283$	1.96148	−	1.31062i	0.116598	−	0.0779083i	−0.495904	−	0.868377i	$-0.665163\pi$
$283$	1.96148	−	1.31062i	0.116598	−	0.0779083i	0.612502	+	0.790469i	$0.290163\pi$
$284$	−10.4373	+	12.8629i	−0.619339	+	0.763271i
$285$	12.4979	−	19.9988i	0.740315	−	1.18462i
$286$	10.0373	+	1.46042i	0.593517	+	0.0863563i
$287$		−	7.05873i		−	0.416664i
$288$	−8.38311	−	14.7555i	−0.493979	−	0.869474i
$289$		−	14.7958i		−	0.870341i
$290$	−3.01698	+	20.7354i	−0.177163	+	1.21762i
$291$	−4.81327	+	7.70202i	−0.282159	+	0.451500i
$292$	−1.45042	−	13.9327i	−0.0848794	−	0.815349i
$293$	19.1040	−	12.7649i	1.11607	−	0.745734i	0.146175	−	0.989259i	$-0.453304\pi$
$293$	19.1040	−	12.7649i	1.11607	−	0.745734i	0.969895	+	0.243525i	$0.0783039\pi$
$294$	13.6920	+	11.6039i	0.798533	+	0.676754i
$295$	−10.2326	−	4.23848i	−0.595765	−	0.246774i
$296$	4.94931	−	6.79088i	0.287673	−	0.394712i
$297$	−5.33681	+	17.1786i	−0.309673	+	0.996802i
$298$	−5.14633	+	2.45154i	−0.298119	+	0.142014i
$299$	1.98743	−	9.99147i	0.114936	−	0.577822i
$300$	2.61793	+	7.62879i	0.151147	+	0.440448i
$301$	−19.8586	+	29.7206i	−1.14463	+	1.71306i
$302$	−11.8407	+	19.8799i	−0.681353	+	1.14396i
$303$	4.17039	−	0.127216i	0.239583	−	0.00730836i
$304$	−13.0920	−	30.6399i	−0.750879	−	1.75732i
$305$	−6.41199	+	6.41199i	−0.367150	+	0.367150i
$306$	1.91675	+	6.00016i	0.109573	+	0.343006i
$307$	1.53667	−	2.29980i	0.0877026	−	0.131256i	−0.785024	−	0.619465i	$-0.787350\pi$
$307$	1.53667	−	2.29980i	0.0877026	−	0.131256i	0.872727	+	0.488209i	$0.162350\pi$
$308$	16.7380	+	20.1659i	0.953735	+	1.14906i
$309$	−13.4005	−	18.7888i	−0.762329	−	1.06885i
$310$	5.17345	+	1.83490i	0.293832	+	0.104215i
$311$	16.6455	−	6.89481i	0.943882	−	0.390969i	0.142954	−	0.989729i	$-0.454340\pi$
$311$	16.6455	−	6.89481i	0.943882	−	0.390969i	0.800928	+	0.598761i	$0.204340\pi$
$312$	7.25003	−	7.10273i	0.410452	−	0.402113i
$313$	−2.17680	−	0.901661i	−0.123040	−	0.0509649i	0.320314	−	0.947311i	$-0.396212\pi$
$313$	−2.17680	−	0.901661i	−0.123040	−	0.0509649i	−0.443354	+	0.896347i	$0.646212\pi$
$314$	−8.34817	+	9.26234i	−0.471114	+	0.522704i
$315$	11.2333	+	14.7754i	0.632922	+	0.832502i
$316$	5.52172	+	10.1938i	0.310621	+	0.573448i
$317$	31.5144	−	6.26860i	1.77002	−	0.352080i	0.800927	−	0.598762i	$-0.204340\pi$
$317$	31.5144	−	6.26860i	1.77002	−	0.352080i	0.969096	+	0.246683i	$0.0793405\pi$
$318$	−1.61282	+	14.0874i	−0.0904424	+	0.789983i
$319$		−	31.3809i		−	1.75699i
$320$	−12.5747	−	3.58684i	−0.702947	−	0.200511i
$321$	−9.41267	+	10.0050i	−0.525364	+	0.558425i
$322$	21.0981	−	15.7384i	1.17575	−	0.877068i
$323$	2.41270	+	12.1295i	0.134246	+	0.674902i
$324$	10.4353	+	14.6664i	0.579738	+	0.814803i
$325$	−4.01073	+	2.67989i	−0.222475	+	0.148653i
$326$	16.3803	+	14.7636i	0.907222	+	0.817681i
$327$	−2.70439	+	1.21808i	−0.149553	+	0.0673601i
$328$	−3.57466	−	3.87860i	−0.197377	−	0.214160i
$329$	0.0924111	+	0.223100i	0.00509479	+	0.0122999i
$330$	6.33970	+	12.3257i	0.348989	+	0.678510i
$331$	4.80427	−	24.1527i	0.264067	−	1.32755i	−0.590006	−	0.807399i	$-0.700875\pi$
$331$	4.80427	−	24.1527i	0.264067	−	1.32755i	0.854073	−	0.520154i	$-0.174125\pi$
$332$	−7.80092	−	9.39853i	−0.428131	−	0.515811i
$333$	−4.49079	+	7.69877i	−0.246094	+	0.421890i
$334$	7.94911	+	31.3649i	0.434956	+	1.71621i
$335$	−9.95169	−	9.95169i	−0.543719	−	0.543719i
$336$	26.2014	−	1.09066i	1.42940	−	0.0595006i
$337$	−9.43292	+	9.43292i	−0.513844	+	0.513844i	−0.915702	−	0.401858i	$-0.868365\pi$
$337$	−9.43292	+	9.43292i	−0.513844	+	0.513844i	0.401858	+	0.915702i	$0.368365\pi$
$338$	−10.5803	−	6.30169i	−0.575490	−	0.342767i
$339$	−3.57110	+	0.824273i	−0.193956	+	0.0447684i
$340$	4.29300	+	2.26409i	0.232820	+	0.122788i
$341$	−8.06284	−	1.60380i	−0.436627	−	0.0868506i
$342$	17.1153	+	30.9200i	0.925490	+	1.67196i
$343$	−1.14400	+	0.473860i	−0.0617702	+	0.0255861i
$344$	4.13915	+	26.3875i	0.223168	+	1.42272i
$345$	12.6930	−	5.71703i	0.683366	−	0.307794i
$346$	−20.6713	+	1.07306i	−1.11130	+	0.0576882i
$347$	−9.97350	−	14.9264i	−0.535406	−	0.801291i	0.460874	−	0.887465i	$-0.347536\pi$
$347$	−9.97350	−	14.9264i	−0.535406	−	0.801291i	−0.996280	+	0.0861742i	$0.972536\pi$
$348$	−24.9755	−	19.0328i	−1.33883	−	1.02026i
$349$	−22.7251	+	4.52030i	−1.21644	+	0.241966i	−0.761269	−	0.648436i	$-0.775423\pi$
$349$	−22.7251	+	4.52030i	−1.21644	+	0.241966i	−0.455175	+	0.890402i	$0.650423\pi$
$350$	−12.3335	−	1.79451i	−0.659252	−	0.0959207i
$351$	−6.88485	+	8.27569i	−0.367486	+	0.441724i
$352$	19.4094	+	2.60426i	1.03453	+	0.138808i
$353$	3.10641			0.165338			0.0826688	−	0.996577i	$-0.473656\pi$
$353$	3.10641			0.165338			0.0826688	+	0.996577i	$0.473656\pi$
$354$	12.9953	−	10.3254i	0.690690	−	0.548786i
$355$	−2.64109	−	13.2777i	−0.140175	−	0.704706i
$356$	−3.81171	+	4.69754i	−0.202020	+	0.248969i
$357$	−9.59989	−	1.60695i	−0.508080	−	0.0850486i
$358$	15.7335	−	0.816739i	0.831543	−	0.0431660i
$359$	7.94887	−	19.1903i	0.419525	−	1.01282i	−0.562960	−	0.826484i	$-0.690337\pi$
$359$	7.94887	−	19.1903i	0.419525	−	1.01282i	0.982485	−	0.186340i	$-0.0596626\pi$
$360$	13.6549	+	2.43003i	0.719678	+	0.128074i
$361$	19.2826	+	46.5522i	1.01487	+	2.45012i
$362$	−5.76773	+	2.74756i	−0.303145	+	0.144408i
$363$	−0.990291	−	1.38848i	−0.0519768	−	0.0728762i
$364$	4.63600	+	14.9828i	0.242993	+	0.785313i
$365$	9.51887	+	6.36031i	0.498241	+	0.332914i
$366$	−3.73855	−	13.0647i	−0.195417	−	0.682903i
$367$	11.6388	+	11.6388i	0.607541	+	0.607541i	0.942303	−	0.334762i	$-0.108656\pi$
$367$	11.6388	+	11.6388i	0.607541	+	0.607541i	−0.334762	+	0.942303i	$0.608656\pi$
$368$	3.62270	−	19.3323i	0.188846	−	1.00777i
$369$	4.18974	+	3.70749i	0.218109	+	0.193004i
$370$	1.68717	+	6.65708i	0.0877118	+	0.346085i
$371$	−18.2184	−	12.1731i	−0.945850	−	0.631997i
$372$	−6.16662	+	5.44435i	−0.319725	+	0.282276i
$373$	−7.84233	−	1.55994i	−0.406060	−	0.0807704i	−0.0121657	−	0.999926i	$-0.503873\pi$
$373$	−7.84233	−	1.55994i	−0.406060	−	0.0807704i	−0.393895	+	0.919156i	$0.628873\pi$
$374$	−6.85053	−	2.42972i	−0.354233	−	0.125638i
$375$	−19.4010	−	7.35145i	−1.00186	−	0.379627i
$376$	0.163759	+	0.0757896i	0.00844524	+	0.00390855i
$377$	7.18670	−	17.3502i	0.370134	−	0.893583i
$378$	−27.5295	+	3.97360i	−1.41597	+	0.204380i
$379$	3.34562	+	5.00707i	0.171853	+	0.257196i	0.907391	−	0.420287i	$-0.138071\pi$
$379$	3.34562	+	5.00707i	0.171853	+	0.257196i	−0.735538	+	0.677483i	$0.763071\pi$
$380$	26.1020	+	7.75993i	1.33901	+	0.398076i
$381$	13.2849	−	21.2579i	0.680604	−	1.08908i
$382$	−2.84678	+	2.12359i	−0.145654	+	0.108653i
$383$	−4.78786			−0.244648			−0.122324	−	0.992490i	$-0.539035\pi$
$383$	−4.78786			−0.244648			−0.122324	+	0.992490i	$0.539035\pi$
$384$	13.8447	−	13.8681i	0.706509	−	0.707704i
$385$	−21.4183			−1.09158
$386$	6.80502	−	5.07630i	0.346367	−	0.258377i
$387$	−7.21033	−	27.3975i	−0.366522	−	1.39269i
$388$	−10.0525	−	2.98854i	−0.510340	−	0.151720i
$389$	1.44268	+	2.15912i	0.0731468	+	0.109472i	0.866239	−	0.499629i	$-0.166530\pi$
$389$	1.44268	+	2.15912i	0.0731468	+	0.109472i	−0.793093	+	0.609101i	$0.791530\pi$
$390$	0.682383	+	8.26670i	0.0345538	+	0.418601i
$391$	−2.79373	+	6.74466i	−0.141285	+	0.341092i
$392$	−8.70440	+	18.8077i	−0.439639	+	0.949932i
$393$	−13.6023	+	35.8975i	−0.686147	+	1.81079i
$394$	24.0356	+	8.52486i	1.21090	+	0.429476i
$395$	−9.29272	−	1.84844i	−0.467568	−	0.0930050i
$396$	−20.7609	−	0.656909i	−1.04328	−	0.0330109i
$397$	6.83928	+	4.56986i	0.343253	+	0.229355i	0.715233	−	0.698886i	$-0.246321\pi$
$397$	6.83928	+	4.56986i	0.343253	+	0.229355i	−0.371979	+	0.928241i	$0.621321\pi$
$398$	3.78647	+	14.9403i	0.189799	+	0.748890i
$399$	−54.5858	+	1.66511i	−2.73271	+	0.0833600i
$400$	−7.68571	+	5.25984i	−0.384286	+	0.262992i
$401$	0.714056	+	0.714056i	0.0356583	+	0.0356583i	0.724711	−	0.689053i	$-0.241973\pi$
$401$	0.714056	+	0.714056i	0.0356583	+	0.0356583i	−0.689053	+	0.724711i	$0.741973\pi$
$402$	20.2770	−	5.80239i	1.01132	−	0.289397i
$403$	−4.09059	−	2.73324i	−0.203767	−	0.136153i
$404$	1.42411	+	4.60250i	0.0708523	+	0.228983i
$405$	−14.6701	−	1.09302i	−0.728964	−	0.0543127i
$406$	43.8064	−	20.8680i	2.17408	−	1.03566i
$407$	−3.93591	−	9.50214i	−0.195096	−	0.471004i
$408$	−6.08869	+	3.97856i	−0.301435	+	0.196968i
$409$	−4.86109	+	11.7357i	−0.240365	+	0.580294i	−0.997319	−	0.0731750i	$-0.976687\pi$
$409$	−4.86109	+	11.7357i	−0.240365	+	0.580294i	0.756954	+	0.653469i	$0.226687\pi$
$410$	4.30498	−	0.223474i	0.212608	−	0.0110366i
$411$	−2.90093	+	17.3301i	−0.143092	+	0.854832i
$412$	16.7907	−	20.6928i	0.827219	−	1.01946i
$413$	5.00371	+	25.1554i	0.246217	+	1.23781i
$414$	−1.73985	+	20.7892i	−0.0855088	+	1.02174i
$415$	9.98225			0.490010
$416$	10.1349	+	5.88494i	0.496905	+	0.288533i
$417$	−17.7564	+	18.8738i	−0.869536	+	0.924255i
$418$	−40.3571	−	5.87193i	−1.97393	−	0.287205i
$419$	35.6710	−	7.09541i	1.74264	−	0.346633i	0.781759	−	0.623581i	$-0.214323\pi$
$419$	35.6710	−	7.09541i	1.74264	−	0.346633i	0.960885	+	0.276947i	$0.0893227\pi$
$420$	−12.9904	+	17.0465i	−0.633868	+	0.831782i
$421$	−11.0019	−	16.4655i	−0.536200	−	0.802479i	0.460150	−	0.887841i	$-0.347795\pi$
$421$	−11.0019	−	16.4655i	−0.536200	−	0.802479i	−0.996350	+	0.0853616i	$0.972795\pi$
$422$	15.2099	−	0.789556i	0.740406	−	0.0384350i
$423$	−0.180960	−	0.0623289i	−0.00879856	−	0.00303054i
$424$	−16.1752	+	2.53725i	−0.785538	+	0.123220i
$425$	3.19361	−	1.32284i	0.154913	−	0.0641670i
$426$	19.3184	+	6.19547i	0.935981	+	0.300171i
$427$	20.5953	+	4.09666i	0.996677	+	0.198251i
$428$	−14.0302	−	7.39942i	−0.678175	−	0.357664i
$429$	−2.79388	−	12.1043i	−0.134890	−	0.584401i
$430$	−18.7547	−	11.1705i	−0.904431	−	0.538687i
$431$	0.0952141	−	0.0952141i	0.00458630	−	0.00458630i	−0.704810	−	0.709396i	$-0.748968\pi$
$431$	0.0952141	−	0.0952141i	0.00458630	−	0.00458630i	0.709396	+	0.704810i	$0.248968\pi$
$432$	−13.1145	+	16.1248i	−0.630972	+	0.775805i
$433$	−16.1388	−	16.1388i	−0.775580	−	0.775580i	0.203496	−	0.979076i	$-0.434770\pi$
$433$	−16.1388	−	16.1388i	−0.775580	−	0.775580i	−0.979076	+	0.203496i	$0.934770\pi$
$434$	−3.12287	−	12.3219i	−0.149902	−	0.591471i
$435$	25.0055	−	5.77170i	1.19892	−	0.276732i
$436$	−2.18740	−	2.63538i	−0.104758	−	0.126212i
$437$	−7.99089	+	40.1729i	−0.382256	+	1.92173i
$438$	−15.2564	+	7.84708i	−0.728981	+	0.374948i
$439$	10.1203	+	24.4326i	0.483015	+	1.16610i	0.958170	+	0.286200i	$0.0923922\pi$
$439$	10.1203	+	24.4326i	0.483015	+	1.16610i	−0.475154	+	0.879902i	$0.657608\pi$
$440$	−11.7688	+	10.8466i	−0.561058	+	0.517091i
$441$	7.15845	−	20.7831i	0.340879	−	0.989674i
$442$	−3.23116	−	2.91225i	−0.153691	−	0.138522i
$443$	23.0385	−	15.3939i	1.09459	−	0.731384i	0.129053	−	0.991638i	$-0.458806\pi$
$443$	23.0385	−	15.3939i	1.09459	−	0.731384i	0.965540	+	0.260254i	$0.0838062\pi$
$444$	−9.94975	−	2.63061i	−0.472194	−	0.124843i
$445$	−0.964531	−	4.84902i	−0.0457232	−	0.229866i
$446$	17.0657	−	12.7304i	0.808084	−	0.602801i
$447$	5.08493	+	4.78389i	0.240509	+	0.226270i
$448$	9.27163	+	28.8266i	0.438044	+	1.36193i
$449$			37.8987i			1.78855i	0.447518	+	0.894275i	$0.352308\pi$
$449$			37.8987i			1.78855i	−0.447518	+	0.894275i	$0.647692\pi$
$450$	7.54311	−	6.37805i	0.355586	−	0.300664i
$451$	−6.33189	+	1.25949i	−0.298157	+	0.0593071i
$452$	−2.01564	−	3.72113i	−0.0948075	−	0.175027i
$453$	27.9505	+	4.67869i	1.31323	+	0.219824i
$454$	3.47009	−	3.85009i	0.162860	−	0.180694i
$455$	−11.8420	−	4.90513i	−0.555163	−	0.229956i
$456$	−29.1503	+	28.5581i	−1.36509	+	1.33736i
$457$	−9.25868	+	3.83507i	−0.433103	+	0.179397i	−0.588574	−	0.808443i	$-0.700310\pi$
$457$	−9.25868	+	3.83507i	−0.433103	+	0.179397i	0.155471	+	0.987840i	$0.450310\pi$
$458$	15.1454	+	5.37173i	0.707700	+	0.251005i
$459$	5.99600	−	4.85403i	0.279869	−	0.226567i
$460$	10.2665	+	12.3690i	0.478678	+	0.576710i
$461$	14.5105	−	21.7165i	0.675822	−	1.01144i	−0.322081	−	0.946712i	$-0.604382\pi$
$461$	14.5105	−	21.7165i	0.675822	−	1.01144i	0.997903	−	0.0647269i	$-0.0206176\pi$
$462$	15.5763	−	28.0644i	0.724676	−	1.30568i
$463$	4.16586	−	4.16586i	0.193604	−	0.193604i	−0.603647	−	0.797251i	$-0.706287\pi$
$463$	4.16586	−	4.16586i	0.193604	−	0.193604i	0.797251	+	0.603647i	$0.206287\pi$
$464$	13.5027	−	33.6507i	0.626847	−	1.56220i
$465$	−0.204983	−	6.71976i	−0.00950586	−	0.311621i
$466$	−17.4700	+	29.3314i	−0.809284	+	1.35875i
$467$	−19.6360	+	29.3873i	−0.908644	+	1.35988i	0.0242401	+	0.999706i	$0.492283\pi$
$467$	−19.6360	+	29.3873i	−0.908644	+	1.35988i	−0.932884	+	0.360176i	$0.882717\pi$
$468$	−11.3281	−	5.11777i	−0.523642	−	0.236569i
$469$	−6.35819	+	31.9648i	−0.293594	+	1.47600i
$470$	−0.133139	+	0.0634229i	−0.00614123	+	0.00292548i
$471$	14.2808	+	5.41131i	0.658026	+	0.249340i
$472$	15.4885	+	11.2883i	0.712916	+	0.519586i
$473$	30.2036	+	12.5107i	1.38876	+	0.575245i
$474$	9.18007	−	10.8320i	0.421654	−	0.497529i
$475$	16.1260	−	10.7751i	0.739913	−	0.494394i
$476$	−1.16374	−	11.1788i	−0.0533398	−	0.512380i
$477$	16.7943	−	4.41985i	0.768959	−	0.202371i
$478$	−1.42953	+	9.82503i	−0.0653854	+	0.449386i
$479$		−	14.4391i		−	0.659737i	−0.944027	−	0.329869i	$-0.892996\pi$
$479$		−	14.4391i		−	0.659737i	0.944027	−	0.329869i	$-0.107004\pi$
$480$	1.49469	+	15.9452i	0.0682230	+	0.727794i
$481$		−	6.15504i		−	0.280646i
$482$	32.3316	+	4.70422i	1.47266	+	0.214271i
$483$	−27.3379	−	17.0845i	−1.24392	−	0.777370i
$484$	1.24082	−	1.52919i	0.0564011	−	0.0695086i
$485$	7.12650	−	4.76178i	0.323598	−	0.216221i
$486$	12.1009	−	18.4274i	0.548909	−	0.835882i
$487$	−18.1952	−	7.53672i	−0.824505	−	0.341521i	−0.0697800	−	0.997562i	$-0.522230\pi$
$487$	−18.1952	−	7.53672i	−0.824505	−	0.341521i	−0.754725	+	0.656041i	$0.772230\pi$
$488$	13.3912	−	8.17879i	0.606193	−	0.370236i
$489$	9.56982	−	25.2554i	0.432762	−	1.14209i
$490$	−7.28409	−	15.2909i	−0.329062	−	0.690774i
$491$	2.66821	−	13.4140i	0.120414	−	0.605365i	−0.872704	−	0.488250i	$-0.837635\pi$
$491$	2.66821	−	13.4140i	0.120414	−	0.605365i	0.993118	−	0.117115i	$-0.0373645\pi$
$492$	−2.83794	+	5.80333i	−0.127944	+	0.261634i
$493$	−7.47684	+	11.1899i	−0.336740	+	0.503967i
$494$	−20.9684	−	12.4889i	−0.943411	−	0.561904i
$495$	11.2497	−	12.7129i	0.505634	−	0.571405i
$496$	−7.95596	−	5.18912i	−0.357233	−	0.232998i
$497$	−22.1676	+	22.1676i	−0.994354	+	0.994354i
$498$	−7.25952	+	13.0797i	−0.325307	+	0.586117i
$499$	7.27621	−	10.8896i	0.325728	−	0.487487i	−0.632077	−	0.774906i	$-0.717797\pi$
$499$	7.27621	−	10.8896i	0.325728	−	0.487487i	0.957805	+	0.287419i	$0.0927973\pi$
$500$	2.21573	−	23.8540i	0.0990904	−	1.06678i
$501$	32.2632	−	23.0108i	1.44142	−	1.02805i
$502$	−10.8828	+	30.6838i	−0.485724	+	1.36948i
$503$	0.384619	−	0.159314i	0.0171493	−	0.00710348i	−0.374092	−	0.927391i	$-0.622046\pi$
$503$	0.384619	−	0.159314i	0.0171493	−	0.00710348i	0.391242	+	0.920288i	$0.372046\pi$
$504$	−12.8888	−	29.4183i	−0.574112	−	1.31039i
$505$	−3.63770	−	1.50679i	−0.161876	−	0.0670511i
$506$	−17.8824	−	16.1174i	−0.794968	−	0.716506i
$507$	−2.49004	+	14.8755i	−0.110586	+	0.660643i
$508$	27.7455	+	8.24851i	1.23101	+	0.365969i
$509$	−7.98294	+	1.58791i	−0.353838	+	0.0703827i	−0.368809	−	0.929505i	$-0.620234\pi$
$509$	−7.98294	+	1.58791i	−0.353838	+	0.0703827i	0.0149713	+	0.999888i	$0.495234\pi$
$510$	0.676118	−	5.90565i	0.0299390	−	0.261507i
$511$		−	26.5110i		−	1.17278i
$512$	19.6928	+	11.1442i	0.870307	+	0.492509i
$513$	27.6820	−	33.2742i	1.22219	−	1.46909i
$514$	−4.64654	−	6.22891i	−0.204950	−	0.274746i
$515$	4.24879	+	21.3601i	0.187224	+	0.941239i
$516$	28.2758	−	16.4506i	1.24477	−	0.724198i
$517$	0.183639	−	0.122703i	0.00807641	−	0.00539649i
$518$	10.6473	−	11.8132i	0.467814	−	0.519042i
$519$	10.4111	+	23.1147i	0.456996	+	1.01462i
$520$	−8.99094	+	3.30175i	−0.394279	+	0.144791i
$521$	−5.62098	−	13.5703i	−0.246260	−	0.594524i	0.751621	−	0.659595i	$-0.229272\pi$
$521$	−5.62098	−	13.5703i	−0.246260	−	0.594524i	−0.997881	+	0.0650718i	$0.979272\pi$
$522$	−10.6224	+	36.9621i	−0.464930	+	1.61779i
$523$	2.24424	−	11.2826i	0.0981340	−	0.493353i	−0.900191	−	0.435496i	$-0.856573\pi$
$523$	2.24424	−	11.2826i	0.0981340	−	0.493353i	0.998325	−	0.0578573i	$-0.0184268\pi$
$524$	−44.1369	−	4.09974i	−1.92813	−	0.179098i
$525$	3.43303	+	14.8734i	0.149830	+	0.649126i
$526$	−29.2928	+	7.42397i	−1.27723	+	0.323700i
$527$	2.49295	+	2.49295i	0.108595	+	0.108595i
$528$	−5.65348	−	23.3088i	−0.246036	−	1.01439i
$529$	−0.833580	+	0.833580i	−0.0362426	+	0.0362426i
$530$	6.84736	−	11.4964i	0.297430	−	0.499372i
$531$	−17.5592	−	10.2425i	−0.762005	−	0.444486i
$532$	−18.6401	−	60.2417i	−0.808150	−	2.61181i
$533$	−3.78929	−	0.753737i	−0.164133	−	0.0326480i
$534$	7.05512	+	2.26259i	0.305305	+	0.0979120i
$535$	11.9766	−	4.96086i	0.517792	−	0.214477i
$536$	12.6938	+	20.7838i	0.548290	+	0.897722i
$537$	−7.92418	−	17.5933i	−0.341954	−	0.759207i
$538$	0.426486	+	8.21577i	0.0183871	+	0.354207i
$539$	14.0924	+	21.0908i	0.607004	+	0.908445i
$540$	−3.29498	−	16.6639i	−0.141794	−	0.717101i
$541$	21.3611	−	4.24899i	0.918386	−	0.182678i	0.286806	−	0.957989i	$-0.407407\pi$
$541$	21.3611	−	4.24899i	0.918386	−	0.182678i	0.631580	+	0.775310i	$0.282407\pi$
$542$	−1.32088	+	9.07826i	−0.0567366	+	0.389944i
$543$	5.69892	+	5.36152i	0.244564	+	0.230085i
$544$	−6.30058	−	5.55315i	−0.270135	−	0.238089i
$545$	2.79906			0.119898
$546$	15.0392	−	11.9494i	0.643619	−	0.511386i
$547$	3.04023	+	15.2843i	0.129991	+	0.653509i	0.989750	+	0.142809i	$0.0456136\pi$
$547$	3.04023	+	15.2843i	0.129991	+	0.653509i	−0.859759	+	0.510700i	$0.829386\pi$
$548$	−20.1805	+	2.10083i	−0.862067	+	0.0897429i
$549$	−13.2490	+	10.0727i	−0.565452	+	0.429894i
$550$	0.590935	+	11.3837i	0.0251976	+	0.485402i
$551$	−28.8957	+	69.7604i	−1.23100	+	2.97189i
$552$	−23.6734	+	4.45688i	−1.00761	+	0.189698i
$553$	8.39643	+	20.2708i	0.357053	+	0.862001i
$554$	−18.4973	−	38.8299i	−0.785874	−	1.64972i
$555$	6.84776	−	4.88396i	0.290671	−	0.207313i
$556$	−26.4671	−	13.9585i	−1.12246	−	0.591974i
$557$	−26.9912	−	18.0350i	−1.14366	−	0.764166i	−0.168503	−	0.985701i	$-0.553893\pi$
$557$	−26.9912	−	18.0350i	−1.14366	−	0.764166i	−0.975153	+	0.221535i	$0.928893\pi$
$558$	8.95397	+	4.61831i	0.379052	+	0.195508i
$559$	13.8342	+	13.8342i	0.585124	+	0.585124i
$560$	−22.9676	−	9.21597i	−0.970558	−	0.389446i
$561$	0.271433	+	8.89811i	0.0114599	+	0.375678i
$562$	−24.2615	+	6.14882i	−1.02341	+	0.259372i
$563$	−8.22994	−	5.49907i	−0.346851	−	0.231758i	0.369926	−	0.929061i	$-0.379383\pi$
$563$	−8.22994	−	5.49907i	−0.346851	−	0.231758i	−0.716776	+	0.697303i	$0.754383\pi$
$564$	0.0137212	−	0.220575i	0.000577765	−	0.00928789i
$565$	3.39219	+	0.674749i	0.142711	+	0.0283869i
$566$	1.11521	−	3.14430i	0.0468757	−	0.132165i
$567$	16.7692	+	29.6528i	0.704241	+	1.24530i
$568$	−0.954514	+	23.4066i	−0.0400505	+	0.982120i
$569$	−0.962112	+	2.32274i	−0.0403338	+	0.0973745i	−0.942763	−	0.333464i	$-0.891782\pi$
$569$	−0.962112	+	2.32274i	−0.0403338	+	0.0973745i	0.902429	+	0.430839i	$0.141782\pi$
$570$	−2.74367	−	33.2381i	−0.114920	−	1.39219i
$571$	−2.20047	−	3.29324i	−0.0920869	−	0.137818i	0.782566	−	0.622568i	$-0.213911\pi$
$571$	−2.20047	−	3.29324i	−0.0920869	−	0.137818i	−0.874653	+	0.484750i	$0.838911\pi$
$572$	12.6128	−	6.83202i	0.527369	−	0.285661i
$573$	3.68872	+	2.30522i	0.154099	+	0.0963018i
$574$	−5.96884	−	8.00151i	−0.249134	−	0.333977i
$575$	11.4487			0.477445
$576$	−21.9800	−	9.63752i	−0.915831	−	0.401563i
$577$	−21.1934			−0.882293			−0.441147	−	0.897435i	$-0.645428\pi$
$577$	−21.1934			−0.882293			−0.441147	+	0.897435i	$0.645428\pi$
$578$	−12.5113	−	16.7720i	−0.520400	−	0.697622i
$579$	−8.81763	−	5.51046i	−0.366448	−	0.229007i
$580$	14.1138	+	26.0560i	0.586045	+	1.08192i
$581$	−12.8426	−	19.2203i	−0.532802	−	0.797394i
$582$	1.05666	+	12.8008i	0.0437998	+	0.530611i
$583$	−7.66894	+	18.5145i	−0.317615	+	0.766791i
$584$	−13.4256	−	14.5671i	−0.555555	−	0.602792i
$585$	9.13131	−	4.45255i	0.377533	−	0.184090i
$586$	10.8617	−	30.6241i	0.448691	−	1.26507i
$587$	−10.8843	−	2.16502i	−0.449243	−	0.0893600i	−0.0347166	−	0.999397i	$-0.511053\pi$
$587$	−10.8843	−	2.16502i	−0.449243	−	0.0893600i	−0.414527	+	0.910037i	$0.636053\pi$
$588$	25.3330	+	1.57587i	1.04471	+	0.0649877i
$589$	16.4471	+	10.9896i	0.677691	+	0.452819i
$590$	−15.1833	+	3.84807i	−0.625088	+	0.158422i
$591$	−0.952341	−	31.2197i	−0.0391741	−	1.28420i
$592$	−0.131991	−	11.8830i	−0.00542479	−	0.488389i
$593$	−14.8720	−	14.8720i	−0.610720	−	0.610720i	0.332414	−	0.943134i	$-0.392137\pi$
$593$	−14.8720	−	14.8720i	−0.610720	−	0.610720i	−0.943134	+	0.332414i	$0.892137\pi$
$594$	8.47654	+	23.9858i	0.347797	+	0.984150i
$595$	7.63741	+	5.10316i	0.313103	+	0.209209i
$596$	−3.76067	+	7.13070i	−0.154043	+	0.292085i
$597$	15.3683	−	10.9610i	0.628981	−	0.448602i
$598$	−6.19588	−	13.0065i	−0.253369	−	0.531877i
$599$	14.6514	+	35.3715i	0.598638	+	1.44524i	0.874970	+	0.484178i	$0.160881\pi$
$599$	14.6514	+	35.3715i	0.598638	+	1.44524i	−0.276331	+	0.961062i	$0.589119\pi$
$600$	9.41848	+	6.43400i	0.384508	+	0.262667i
$601$	−4.29088	+	10.3591i	−0.175029	+	0.422557i	−0.986911	−	0.161264i	$-0.948443\pi$
$601$	−4.29088	+	10.3591i	−0.175029	+	0.422557i	0.811883	+	0.583821i	$0.198443\pi$
$602$	2.62059	+	50.4826i	0.106807	+	2.05752i
$603$	−15.6333	−	20.5629i	−0.636637	−	0.837388i
$604$	3.38826	+	32.5476i	0.137867	+	1.32434i
$605$	0.313983	+	1.57850i	0.0127652	+	0.0641752i
$606$	4.61983	−	3.67068i	0.187668	−	0.149111i
$607$	18.9171			0.767822			0.383911	−	0.923370i	$-0.374577\pi$
$607$	18.9171			0.767822			0.383911	+	0.923370i	$0.374577\pi$
$608$	−40.7496	−	23.6617i	−1.65262	−	0.959608i
$609$	−43.2838	−	40.7213i	−1.75395	−	1.65011i
$610$	−1.84644	+	12.6904i	−0.0747601	+	0.513818i
$611$	0.129633	−	0.0257857i	0.00524440	−	0.00104318i
$612$	7.24647	+	5.18076i	0.292921	+	0.209420i
$613$	−13.6747	−	20.4657i	−0.552316	−	0.826600i	0.445316	−	0.895374i	$-0.353091\pi$
$613$	−13.6747	−	20.4657i	−0.552316	−	0.826600i	−0.997632	+	0.0687736i	$0.978091\pi$
$614$	−0.202782	−	3.90637i	−0.00818363	−	0.157648i
$615$	−2.16820	−	4.81384i	−0.0874302	−	0.194113i
$616$	36.0258	+	8.70570i	1.45152	+	0.350763i
$617$	11.7405	−	4.86308i	0.472655	−	0.195780i	−0.133624	−	0.991032i	$-0.542661\pi$
$617$	11.7405	−	4.86308i	0.472655	−	0.195780i	0.606279	+	0.795252i	$0.292661\pi$
$618$	−31.0780	−	9.96680i	−1.25014	−	0.400924i
$619$	−3.98600	−	0.792865i	−0.160211	−	0.0318679i	0.114333	−	0.993442i	$-0.463527\pi$
$619$	−3.98600	−	0.792865i	−0.160211	−	0.0318679i	−0.274544	+	0.961575i	$0.588527\pi$
$620$	7.41602	−	2.29468i	0.297835	−	0.0921564i
$621$	24.4994	−	7.25320i	0.983127	−	0.291061i
$622$	13.0385	−	21.8911i	0.522798	−	0.877754i
$623$	−8.09565	+	8.09565i	−0.324345	+	0.324345i
$624$	2.21231	−	14.1820i	0.0885635	−	0.567734i
$625$	5.61264	+	5.61264i	0.224506	+	0.224506i
$626$	−3.22999	+	0.818608i	−0.129096	+	0.0327181i
$627$	11.2334	+	48.6680i	0.448620	+	1.94361i
$628$	−1.63097	+	17.5586i	−0.0650827	+	0.700666i
$629$	−0.860510	+	4.32608i	−0.0343108	+	0.172492i
$630$	25.2277	+	7.25009i	1.00509	+	0.288850i
$631$	−10.1275	−	24.4500i	−0.403170	−	0.973338i	−0.986892	−	0.161384i	$-0.948404\pi$
$631$	−10.1275	−	24.4500i	−0.403170	−	0.973338i	0.583722	−	0.811954i	$-0.301596\pi$
$632$	14.8791	+	6.88621i	0.591859	+	0.273919i
$633$	−7.66045	−	17.0078i	−0.304476	−	0.675998i
$634$	30.4228	−	33.7543i	1.20824	−	1.34055i
$635$	−19.6695	+	13.1427i	−0.780559	+	0.521553i
$636$	10.0840	+	17.3328i	0.399858	+	0.687289i
$637$	2.96147	+	14.8883i	0.117338	+	0.589897i
$638$	−26.5356	−	35.5722i	−1.05055	−	1.40832i
$639$	−1.51449	−	24.8009i	−0.0599123	−	0.981109i
$640$	−17.2872	+	6.56721i	−0.683338	+	0.259592i
$641$		−	17.2479i		−	0.681253i	−0.940199	−	0.340627i	$-0.889361\pi$
$641$		−	17.2479i		−	0.681253i	0.940199	−	0.340627i	$-0.110639\pi$
$642$	−2.20966	+	19.3006i	−0.0872085	+	0.761735i
$643$	−2.82948	+	0.562819i	−0.111584	+	0.0221954i	−0.250566	−	0.968099i	$-0.580617\pi$
$643$	−2.82948	+	0.562819i	−0.111584	+	0.0221954i	0.138982	+	0.990295i	$0.455617\pi$
$644$	10.6077	−	35.6810i	0.418001	−	1.40603i
$645$	−4.41387	+	26.3684i	−0.173796	+	1.03826i
$646$	12.9916	+	11.7094i	0.511148	+	0.460698i
$647$	42.3867	+	17.5572i	1.66639	+	0.690243i	0.998538	−	0.0540484i	$-0.0172125\pi$
$647$	42.3867	+	17.5572i	1.66639	+	0.690243i	0.667855	+	0.744291i	$0.267213\pi$
$648$	24.2310	+	7.80130i	0.951882	+	0.306464i
$649$	21.6723	−	8.97696i	0.850712	−	0.352376i
$650$	−2.28032	+	6.42929i	−0.0894414	+	0.252177i
$651$	−12.6749	+	9.03996i	−0.496767	+	0.354304i
$652$	31.0522	+	2.88434i	1.21610	+	0.112960i
$653$	−1.02429	+	1.53296i	−0.0400837	+	0.0599895i	−0.850970	−	0.525214i	$-0.823985\pi$
$653$	−1.02429	+	1.53296i	−0.0400837	+	0.0599895i	0.810887	+	0.585203i	$0.198985\pi$
$654$	−2.03559	+	3.66760i	−0.0795979	+	0.143414i
$655$	25.6163	−	25.6163i	1.00091	−	1.00091i
$656$	−7.33183	−	1.37392i	−0.286260	−	0.0536425i
$657$	15.7357	+	13.9245i	0.613908	+	0.543246i
$658$	0.293407	+	0.174756i	0.0114382	+	0.00681268i
$659$	9.68153	−	14.4894i	0.377139	−	0.564428i	−0.593541	−	0.804804i	$-0.702271\pi$
$659$	9.68153	−	14.4894i	0.377139	−	0.564428i	0.970680	+	0.240376i	$0.0772706\pi$
$660$	17.6091	+	8.61119i	0.685432	+	0.335190i
$661$	1.87032	−	9.40275i	0.0727472	−	0.365725i	−0.927214	−	0.374532i	$-0.877803\pi$
$661$	1.87032	−	9.40275i	0.0727472	−	0.365725i	0.999961	+	0.00880715i	$0.00280344\pi$
$662$	−14.9775	−	31.4411i	−0.582117	−	1.22199i
$663$	−1.88773	+	4.98186i	−0.0733134	+	0.193479i
$664$	−16.7902	−	4.05739i	−0.651586	−	0.157457i
$665$	47.6135	+	19.7222i	1.84637	+	0.764792i
$666$	1.41947	+	12.5244i	0.0550033	+	0.485312i
$667$	−37.0610	+	24.7633i	−1.43501	+	0.958841i
$668$	35.5328	+	28.8323i	1.37481	+	1.11556i
$669$	−22.1129	−	13.8192i	−0.854935	−	0.534280i
$670$	−19.6960	−	2.86575i	−0.760922	−	0.110714i
$671$		−	19.2056i		−	0.741423i
$672$	28.7787	−	23.3922i	1.11016	−	0.902372i
$673$		−	3.94418i		−	0.152037i	−0.997106	−	0.0760185i	$-0.975779\pi$
$673$		−	3.94418i		−	0.152037i	0.997106	−	0.0760185i	$-0.0242208\pi$
$674$	−2.71637	+	18.6693i	−0.104630	+	0.719113i
$675$	−10.6313	−	5.77431i	−0.409199	−	0.222253i
$676$	−17.3221	+	1.80326i	−0.666234	+	0.0693562i
$677$	−23.1753	+	15.4852i	−0.890698	+	0.595145i	−0.914506	−	0.404571i	$-0.867421\pi$
$677$	−23.1753	+	15.4852i	−0.890698	+	0.595145i	0.0238088	+	0.999717i	$0.492421\pi$
$678$	−3.35107	+	3.95408i	−0.128697	+	0.151856i
$679$	−18.3371	−	7.59549i	−0.703715	−	0.291488i
$680$	6.78089	−	1.06365i	0.260035	−	0.0407892i
$681$	−5.93613	−	2.24933i	−0.227473	−	0.0861943i
$682$	−10.4959	+	4.99991i	−0.401909	+	0.191456i
$683$	−2.94755	+	14.8183i	−0.112785	+	0.567007i	0.882525	+	0.470266i	$0.155842\pi$
$683$	−2.94755	+	14.8183i	−0.112785	+	0.567007i	−0.995310	+	0.0967412i	$0.969158\pi$
$684$	45.5471	+	20.5771i	1.74154	+	0.786786i
$685$	9.21243	−	13.7874i	0.351989	−	0.526789i
$686$	−0.896102	+	1.50451i	−0.0342133	+	0.0574426i
$687$	−0.600094	−	19.6723i	−0.0228950	−	0.750545i
$688$	27.0051	+	26.4118i	1.02956	+	1.00694i
$689$	−8.48020	+	8.48020i	−0.323070	+	0.323070i
$690$	9.55398	−	17.2137i	0.363714	−	0.655316i
$691$	−12.1384	+	18.1664i	−0.461767	+	0.691083i	−0.987152	−	0.159781i	$-0.948921\pi$
$691$	−12.1384	+	18.1664i	−0.461767	+	0.691083i	0.525385	+	0.850864i	$0.323921\pi$
$692$	−22.5249	+	18.6960i	−0.856267	+	0.710715i
$693$	−38.9514	−	5.30487i	−1.47964	−	0.201515i
$694$	−23.9273	−	8.48646i	−0.908268	−	0.322142i
$695$	22.5931	−	9.35835i	0.857004	−	0.354983i
$696$	−44.4053	−	0.455704i	−1.68318	−	0.0172734i
$697$	2.55793	+	1.05953i	0.0968885	+	0.0401325i
$698$	−21.9380	+	24.3403i	−0.830364	+	0.921293i
$699$	41.2389	+	6.90307i	1.55980	+	0.261098i
$700$	−15.4982	+	8.39496i	−0.585777	+	0.317300i
$701$	−23.1472	+	4.60426i	−0.874257	+	0.173901i	−0.611771	−	0.791035i	$-0.709543\pi$
$701$	−23.1472	+	4.60426i	−0.874257	+	0.173901i	−0.262487	+	0.964936i	$0.584543\pi$
$702$	−0.806508	+	15.2028i	−0.0304397	+	0.573794i
$703$			24.7477i			0.933377i
$704$	24.2040	−	13.4605i	0.912222	−	0.507310i
$705$	0.131550	+	0.123762i	0.00495447	+	0.00466115i
$706$	3.52132	−	2.62677i	0.132526	−	0.0988599i
$707$	1.77883	+	8.94277i	0.0668997	+	0.336327i
$708$	5.99985	−	22.6932i	0.225488	−	0.852862i
$709$	−27.8807	+	18.6293i	−1.04708	+	0.699638i	−0.955149	−	0.296127i	$-0.904305\pi$
$709$	−27.8807	+	18.6293i	−1.04708	+	0.699638i	−0.0919343	+	0.995765i	$0.529305\pi$
$710$	−14.2214	−	12.8178i	−0.533720	−	0.481043i
$711$	−16.4419	−	5.66318i	−0.616620	−	0.212386i
$712$	−0.348590	+	8.54813i	−0.0130640	+	0.320355i
$713$	4.46847	+	10.7878i	0.167346	+	0.404008i
$714$	−12.2409	+	6.29606i	−0.458104	+	0.235624i
$715$	−2.28707	+	11.4979i	−0.0855316	+	0.429996i
$716$	17.1443	−	14.2301i	0.640714	−	0.531802i
$717$	11.8483	−	2.73480i	0.442484	−	0.102133i
$718$	−7.21669	−	28.4749i	−0.269324	−	1.06268i
$719$	13.0487	+	13.0487i	0.486635	+	0.486635i	0.907243	−	0.420607i	$-0.138183\pi$
$719$	13.0487	+	13.0487i	0.486635	+	0.486635i	−0.420607	+	0.907243i	$0.638183\pi$
$720$	17.5336	−	8.79197i	0.653437	−	0.327657i
$721$	35.6616	−	35.6616i	1.32811	−	1.32811i
$722$	61.2224	+	36.4646i	2.27846	+	1.35707i
$723$	−8.99950	−	38.9897i	−0.334695	−	1.45004i
$724$	−4.21476	+	7.99170i	−0.156640	+	0.297009i
$725$	20.6998	+	4.11745i	0.768771	+	0.152918i
$726$	−2.29665	−	0.736541i	−0.0852367	−	0.0273356i
$727$	−12.9789	+	5.37605i	−0.481362	+	0.199387i	−0.610151	−	0.792285i	$-0.708891\pi$
$727$	−12.9789	+	5.37605i	−0.481362	+	0.199387i	0.128789	+	0.991672i	$0.458891\pi$
$728$	17.9246	+	13.0638i	0.664331	+	0.484176i
$729$	−26.4084	−	5.62125i	−0.978087	−	0.208194i
$730$	16.1685	−	0.839318i	0.598423	−	0.0310646i
$731$	−7.78927	−	11.6575i	−0.288096	−	0.431167i
$732$	−15.2854	−	11.6484i	−0.564963	−	0.430536i
$733$	3.69934	−	0.735845i	0.136638	−	0.0271790i	−0.126297	−	0.991992i	$-0.540309\pi$
$733$	3.69934	−	0.735845i	0.136638	−	0.0271790i	0.262936	+	0.964813i	$0.415309\pi$
$734$	23.0351	+	3.35159i	0.850240	+	0.123709i
$735$	−14.2140	+	15.1085i	−0.524292	+	0.557286i
$736$	−12.2408	−	24.9777i	−0.451201	−	0.920691i
$737$	29.8079			1.09799
$738$	7.88438	+	0.659842i	0.290228	+	0.0242891i
$739$	3.39301	+	17.0578i	0.124814	+	0.627483i	0.991657	+	0.128902i	$0.0411452\pi$
$739$	3.39301	+	17.0578i	0.124814	+	0.627483i	−0.866843	+	0.498581i	$0.833855\pi$
$740$	7.54172	+	6.11956i	0.277239	+	0.224959i
$741$	−4.93485	+	29.4808i	−0.181286	+	1.08300i
$742$	−30.9452	+	1.60639i	−1.13603	+	0.0589724i
$743$	7.26490	−	17.5390i	0.266523	−	0.643444i	−0.732792	−	0.680453i	$-0.761783\pi$
$743$	7.26490	−	17.5390i	0.266523	−	0.643444i	0.999315	+	0.0370089i	$0.0117830\pi$
$744$	−2.38653	+	11.3860i	−0.0874946	+	0.417431i
$745$	−2.52130	−	6.08696i	−0.0923733	−	0.223009i
$746$	−10.2089	+	4.86316i	−0.373773	+	0.178053i
$747$	18.1537	+	2.47239i	0.664210	+	0.0904602i
$748$	−9.82008	+	3.03854i	−0.359058	+	0.111100i
$749$	−24.9603	−	16.6779i	−0.912029	−	0.609398i
$750$	−28.2086	+	8.07209i	−1.03003	+	0.294751i
$751$	−11.0906	−	11.0906i	−0.404702	−	0.404702i	0.475184	−	0.879886i	$-0.342381\pi$
$751$	−11.0906	−	11.0906i	−0.404702	−	0.404702i	−0.879886	+	0.475184i	$0.842381\pi$
$752$	0.249719	−	0.0525621i	0.00910631	−	0.00191674i
$753$	39.8550	−	1.21576i	1.45240	−	0.0443046i
$754$	−6.52472	−	25.7447i	−0.237616	−	0.937565i
$755$	−22.2366	−	14.8580i	−0.809274	−	0.540739i
$756$	−27.8464	+	27.7832i	−1.01276	+	1.01047i
$757$	8.89513	+	1.76935i	0.323299	+	0.0643081i	0.354072	−	0.935218i	$-0.384797\pi$
$757$	8.89513	+	1.76935i	0.323299	+	0.0643081i	−0.0307729	+	0.999526i	$0.509797\pi$
$758$	8.02643	+	2.84679i	0.291533	+	0.103400i
$759$	−10.4474	+	27.5713i	−0.379215	+	1.00078i
$760$	36.1501	−	13.2754i	1.31130	−	0.481550i
$761$	−8.35579	+	20.1727i	−0.302897	+	0.731258i	0.697002	+	0.717069i	$0.254517\pi$
$761$	−8.35579	+	20.1727i	−0.302897	+	0.731258i	−0.999899	+	0.0141893i	$0.995483\pi$
$762$	−2.91642	−	35.3308i	−0.105651	−	1.27990i
$763$	−3.60111	−	5.38945i	−0.130369	−	0.195111i
$764$	−1.43130	+	4.81446i	−0.0517826	+	0.174181i
$765$	−7.04043	+	1.85287i	−0.254547	+	0.0669905i
$766$	−5.42735	+	4.04860i	−0.196098	+	0.146282i
$767$	14.0383			0.506894
$768$	3.96700	−	27.4274i	0.143147	−	0.989701i
$769$	33.3185			1.20150			0.600748	−	0.799438i	$-0.294869\pi$
$769$	33.3185			1.20150			0.600748	+	0.799438i	$0.294869\pi$
$770$	−24.2790	+	18.1113i	−0.874956	+	0.652685i
$771$	−5.04394	+	8.07113i	−0.181653	+	0.290675i
$772$	3.42142	−	11.5086i	0.123140	−	0.414204i
$773$	−7.89191	−	11.8111i	−0.283852	−	0.424815i	0.661955	−	0.749544i	$-0.269727\pi$
$773$	−7.89191	−	11.8111i	−0.283852	−	0.424815i	−0.945807	+	0.324729i	$0.894727\pi$
$774$	−31.3406	−	24.9597i	−1.12651	−	0.897159i
$775$	2.11583	−	5.10807i	0.0760029	−	0.183487i
$776$	−13.9223	+	5.11269i	−0.499781	+	0.183535i
$777$	−18.2138	−	6.90159i	−0.653416	−	0.247593i
$778$	3.46112	+	1.22758i	0.124087	+	0.0440108i
$779$	15.2357	+	3.03057i	0.545875	+	0.108581i
$780$	7.76382	+	8.79381i	0.277989	+	0.314869i
$781$	23.8404	+	15.9296i	0.853076	+	0.570007i
$782$	2.53639	+	10.0079i	0.0907012	+	0.357880i
$783$	46.9045	−	4.30308i	1.67623	−	0.153779i
$784$	6.03673	+	28.6801i	0.215598	+	1.02429i
$785$	−10.1907	−	10.1907i	−0.363722	−	0.363722i
$786$	14.9357	+	52.1942i	0.532740	+	1.86171i
$787$	−6.49735	−	4.34139i	−0.231606	−	0.154754i	0.434353	−	0.900743i	$-0.356977\pi$
$787$	−6.49735	−	4.34139i	−0.231606	−	0.154754i	−0.665958	+	0.745989i	$0.731977\pi$
$788$	34.4544	−	10.6609i	1.22739	−	0.379781i
$789$	21.4906	+	30.1318i	0.765087	+	1.07272i
$790$	−12.0969	+	5.76258i	−0.430389	+	0.205023i
$791$	−3.06501	−	7.39960i	−0.108979	−	0.263099i
$792$	−24.0893	+	16.8107i	−0.855976	+	0.597343i
$793$	4.39837	−	10.6186i	0.156191	−	0.377078i
$794$	11.6170	−	0.603047i	0.412272	−	0.0214013i
$795$	−16.1635	−	2.70565i	−0.573262	−	0.0959595i
$796$	16.9257	+	13.7340i	0.599915	+	0.486787i
$797$	−3.32636	−	16.7228i	−0.117826	−	0.592350i	−0.993910	−	0.110193i	$-0.964853\pi$
$797$	−3.32636	−	16.7228i	−0.117826	−	0.592350i	0.876084	−	0.482158i	$-0.160147\pi$
$798$	−60.4685	+	48.0451i	−2.14056	+	1.70078i
$799$	−0.0947178			−0.00335087
$800$	−4.26454	+	12.4614i	−0.150774	+	0.440576i
$801$	−0.553094	−	9.05733i	−0.0195426	−	0.320025i
$802$	1.41323	+	0.205624i	0.0499030	+	0.00726084i
$803$	−23.7811	+	4.73036i	−0.839217	+	0.166931i
$804$	18.0787	−	23.7235i	0.637588	−	0.836664i
$805$	16.9017	+	25.2952i	0.595706	+	0.891537i
$806$	−6.94816	+	0.360684i	−0.244739	+	0.0127046i
$807$	9.18690	−	4.13787i	0.323394	−	0.145660i
$808$	5.50619	+	4.01300i	0.193707	+	0.141177i
$809$	39.4599	−	16.3448i	1.38734	−	0.574654i	0.440904	−	0.897554i	$-0.354658\pi$
$809$	39.4599	−	16.3448i	1.38734	−	0.574654i	0.946433	+	0.322900i	$0.104658\pi$
$810$	−17.5538	+	11.1660i	−0.616777	+	0.392333i
$811$	−16.4745	−	3.27698i	−0.578498	−	0.115070i	−0.102835	−	0.994698i	$-0.532791\pi$
$811$	−16.4745	−	3.27698i	−0.578498	−	0.115070i	−0.475662	+	0.879628i	$0.657791\pi$
$812$	32.0115	−	60.6977i	1.12338	−	2.13007i
$813$	10.9478	−	2.52694i	0.383955	−	0.0886236i
$814$	−12.4966	−	7.44308i	−0.438005	−	0.260880i
$815$	−18.0221	+	18.0221i	−0.631288	+	0.631288i
$816$	−3.53765	+	9.65853i	−0.123843	+	0.338116i
$817$	−55.6234	−	55.6234i	−1.94602	−	1.94602i
$818$	4.41333	+	17.4137i	0.154308	+	0.608856i
$819$	−20.3210	−	11.8535i	−0.710074	−	0.414194i
$820$	4.69099	−	3.89360i	0.163817	−	0.135970i
$821$	−6.13741	+	30.8549i	−0.214197	+	1.07684i	0.712683	+	0.701486i	$0.247480\pi$
$821$	−6.13741	+	30.8549i	−0.214197	+	1.07684i	−0.926881	+	0.375356i	$0.877520\pi$
$822$	11.3659	+	22.0978i	0.396432	+	0.770750i
$823$	−6.50835	−	15.7125i	−0.226867	−	0.547705i	0.768926	−	0.639338i	$-0.220791\pi$
$823$	−6.50835	−	15.7125i	−0.226867	−	0.547705i	−0.995793	+	0.0916330i	$0.970791\pi$
$824$	1.53555	−	37.6548i	0.0534934	−	1.31177i
$825$	12.7293	−	5.73338i	0.443177	−	0.199611i
$826$	26.9433	+	24.2841i	0.937478	+	0.844951i
$827$	3.14692	−	2.10271i	0.109429	−	0.0731183i	−0.499651	−	0.866227i	$-0.666539\pi$
$827$	3.14692	−	2.10271i	0.109429	−	0.0731183i	0.609081	+	0.793108i	$0.291539\pi$
$828$	15.6071	+	25.0371i	0.542384	+	0.870100i
$829$	1.61511	+	8.11973i	0.0560952	+	0.282010i	0.998644	−	0.0520587i	$-0.0165783\pi$
$829$	1.61511	+	8.11973i	0.0560952	+	0.282010i	−0.942549	+	0.334069i	$0.891578\pi$
$830$	11.3155	−	8.44096i	0.392767	−	0.292990i
$831$	−36.0952	+	38.3666i	−1.25213	+	1.33092i
$832$	16.4649	−	1.89910i	0.570816	−	0.0658395i
$833$		−	10.8783i		−	0.376911i
$834$	−4.16840	+	36.4095i	−0.144340	+	1.26076i
$835$	−36.6787	+	7.29585i	−1.26932	+	0.252483i
$836$	−50.7126	+	27.4696i	−1.75393	+	0.950057i
$837$	1.29156	−	12.2713i	0.0446429	−	0.424159i
$838$	34.4355	−	38.2064i	1.18956	−	1.31982i
$839$	−2.71572	−	1.12489i	−0.0937569	−	0.0388354i	0.335312	−	0.942107i	$-0.391158\pi$
$839$	−2.71572	−	1.12489i	−0.0937569	−	0.0388354i	−0.429069	+	0.903272i	$0.641158\pi$
$840$	−0.311031	+	30.3079i	−0.0107316	+	1.04572i
$841$	−49.1212	+	20.3467i	−1.69383	+	0.701609i
$842$	−26.3945	−	9.36152i	−0.909615	−	0.322619i
$843$	17.7994	+	24.9564i	0.613044	+	0.859543i
$844$	16.5737	−	13.7565i	0.570491	−	0.473517i
$845$	7.90757	−	11.8345i	0.272029	−	0.407120i
$846$	−0.257834	+	0.0823652i	−0.00886453	+	0.00283177i
$847$	2.63537	−	2.63537i	0.0905525	−	0.0905525i
$848$	−16.1901	+	16.5538i	−0.555971	+	0.568461i
$849$	−4.08410	+	0.124584i	−0.140166	+	0.00427570i
$850$	2.50157	−	4.20002i	0.0858032	−	0.144060i
$851$	−8.11616	+	12.1467i	−0.278218	+	0.416383i
$852$	27.1375	−	9.31266i	0.929717	−	0.319046i
$853$	−0.670496	+	3.37081i	−0.0229574	+	0.115414i	−0.990565	−	0.137045i	$-0.956239\pi$
$853$	−0.670496	+	3.37081i	−0.0229574	+	0.115414i	0.967607	+	0.252460i	$0.0812395\pi$
$854$	26.8102	−	12.7715i	0.917427	−	0.437032i
$855$	−36.7144	+	17.9024i	−1.25561	+	0.612251i
$856$	−22.1610	+	3.47619i	−0.757449	+	0.118814i
$857$	−44.6410	−	18.4909i	−1.52491	−	0.631637i	−0.546340	−	0.837563i	$-0.683979\pi$
$857$	−44.6410	−	18.4909i	−1.52491	−	0.631637i	−0.978568	+	0.205926i	$0.933979\pi$
$858$	−13.4024	−	11.3585i	−0.457550	−	0.387772i
$859$	22.9633	−	15.3436i	0.783497	−	0.523516i	−0.0982936	−	0.995157i	$-0.531338\pi$
$859$	22.9633	−	15.3436i	0.783497	−	0.523516i	0.881790	+	0.471642i	$0.156338\pi$
$860$	−30.7053	+	3.19648i	−1.04704	+	0.108999i
$861$	−6.47933	+	10.3680i	−0.220815	+	0.353340i
$862$	0.0274185	−	0.188444i	0.000933877	−	0.00641843i
$863$		−	33.5051i		−	1.14053i	−0.821462	−	0.570264i	$-0.806841\pi$
$863$		−	33.5051i		−	1.14053i	0.821462	−	0.570264i	$-0.193159\pi$
$864$	−1.23104	+	29.3681i	−0.0418808	+	0.999123i
$865$		−	23.9239i		−	0.813435i
$866$	−31.9412	−	4.64742i	−1.08541	−	0.157926i
$867$	−13.5813	+	21.7323i	−0.461246	+	0.738068i
$868$	−13.9593	−	11.3270i	−0.473811	−	0.384463i
$869$	16.6853	−	11.1488i	0.566011	−	0.378196i
$870$	23.4648	−	27.6872i	0.795530	−	0.938682i
$871$	16.4805	+	6.82646i	0.558421	+	0.231306i
$872$	−4.70803	−	1.13771i	−0.159434	−	0.0385276i
$873$	14.1396	−	6.89468i	0.478554	−	0.233349i
$874$	24.9119	+	52.2956i	0.842658	+	1.76893i
$875$	8.84530	−	44.4683i	0.299026	−	1.50330i
$876$	−10.6587	+	21.7960i	−0.360123	+	0.736417i
$877$	9.10376	−	13.6247i	0.307412	−	0.460075i	−0.645309	−	0.763922i	$-0.723271\pi$
$877$	9.10376	−	13.6247i	0.307412	−	0.460075i	0.952721	+	0.303847i	$0.0982712\pi$
$878$	32.1321	+	19.1382i	1.08441	+	0.645882i
$879$	−39.7775	+	1.21339i	−1.34166	+	0.0409267i
$880$	−4.16888	+	22.2470i	−0.140533	+	0.749946i
$881$	17.3846	−	17.3846i	0.585702	−	0.585702i	−0.350763	−	0.936464i	$-0.614078\pi$
$881$	17.3846	−	17.3846i	0.585702	−	0.585702i	0.936464	+	0.350763i	$0.114078\pi$
$882$	−9.45961	−	29.6122i	−0.318522	−	0.997094i
$883$	13.3527	−	19.9837i	0.449354	−	0.672506i	−0.535767	−	0.844366i	$-0.679978\pi$
$883$	13.3527	−	19.9837i	0.449354	−	0.672506i	0.985121	+	0.171860i	$0.0549775\pi$
$884$	−6.12532	−	0.568963i	−0.206017	−	0.0191363i
$885$	11.1392	+	15.6182i	0.374442	+	0.525001i
$886$	13.0986	−	36.9312i	0.440057	−	1.24073i
$887$	42.0010	−	17.3974i	1.41026	−	0.584147i	0.457863	−	0.889023i	$-0.348615\pi$
$887$	42.0010	−	17.3974i	1.41026	−	0.584147i	0.952392	+	0.304876i	$0.0986150\pi$
$888$	−13.5031	+	5.43151i	−0.453135	+	0.182270i
$889$	50.6114	+	20.9639i	1.69745	+	0.703107i
$890$	−5.19368	−	4.68107i	−0.174092	−	0.156910i
$891$	23.6073	−	20.3335i	0.790876	−	0.681196i
$892$	8.58027	−	28.8614i	0.287289	−	0.966351i
$893$	−0.521219	+	0.103677i	−0.0174419	+	0.00346942i
$894$	9.80933	+	1.12304i	0.328073	+	0.0375600i
$895$			18.2091i			0.608664i
$896$	34.8857	+	24.8367i	1.16545	+	0.829737i
$897$	−12.0905	+	12.8514i	−0.403691	+	0.429094i
$898$	32.0470	+	42.9606i	1.06942	+	1.43361i
$899$	4.19942	+	21.1119i	0.140059	+	0.704122i
$900$	3.15733	−	13.6084i	0.105244	−	0.453612i
$901$	7.14589	−	4.77473i	0.238064	−	0.159069i
$902$	−6.11257	+	6.78194i	−0.203526	+	0.225814i
$903$	56.4498	−	25.4255i	1.87853	−	0.846108i
$904$	−5.43143	−	2.51372i	−0.180647	−	0.0836052i
$905$	−2.82574	−	6.82194i	−0.0939307	−	0.226769i
$906$	35.6399	−	18.3312i	1.18406	−	0.609014i
$907$	−8.09098	+	40.6761i	−0.268657	+	1.35063i	0.576932	+	0.816792i	$0.304250\pi$
$907$	−8.09098	+	40.6761i	−0.268657	+	1.35063i	−0.845588	+	0.533835i	$0.820750\pi$
$908$	0.677947	−	7.29862i	0.0224985	−	0.242213i
$909$	−6.24232	−	3.64122i	−0.207045	−	0.120772i
$910$	−17.5715	+	4.45331i	−0.582488	+	0.147626i
$911$	1.23068	+	1.23068i	0.0407742	+	0.0407742i	0.727200	−	0.686426i	$-0.240821\pi$
$911$	1.23068	+	1.23068i	0.0407742	+	0.0407742i	−0.686426	+	0.727200i	$0.740821\pi$
$912$	−8.89510	+	57.0218i	−0.294546	+	1.88818i
$913$	−14.9497	+	14.9497i	−0.494763	+	0.494763i
$914$	−7.25238	+	12.1764i	−0.239887	+	0.402760i
$915$	15.3037	−	3.53237i	0.505926	−	0.116777i
$916$	21.7106	−	6.71774i	0.717339	−	0.221960i
$917$	−82.2794	−	16.3664i	−2.71710	−	0.540466i
$918$	2.69229	−	10.5726i	0.0888590	−	0.348946i
$919$	−16.4068	+	6.79591i	−0.541210	+	0.224176i	−0.636505	−	0.771273i	$-0.719620\pi$
$919$	−16.4068	+	6.79591i	−0.541210	+	0.224176i	0.0952952	+	0.995449i	$0.469620\pi$
$920$	22.0969	+	5.33978i	0.728515	+	0.176047i
$921$	−4.36812	+	1.96744i	−0.143934	+	0.0648294i
$922$	−1.91483	−	36.8871i	−0.0630617	−	1.21481i
$923$	9.53304	+	14.2672i	0.313784	+	0.469610i
$924$	−6.07444	−	44.9841i	−0.199834	−	1.47987i
$925$	6.78433	−	1.34949i	0.223068	−	0.0443709i
$926$	1.19963	−	8.24490i	0.0394222	−	0.270944i
$927$	2.43640	+	39.8978i	0.0800218	+	1.31042i
$928$	−13.1488	−	49.5631i	−0.431631	−	1.62699i
$929$	43.9055			1.44049			0.720246	−	0.693719i	$-0.244029\pi$
$929$	43.9055			1.44049			0.720246	+	0.693719i	$0.244029\pi$
$930$	−5.91457	−	7.44394i	−0.193946	−	0.244096i
$931$	−11.9073	−	59.8618i	−0.390244	−	1.96189i
$932$	4.99914	+	48.0216i	0.163752	+	1.57300i
$933$	−30.7781	−	5.15202i	−1.00763	−	0.168670i
$934$	2.59120	+	49.9165i	0.0847867	+	1.63332i
$935$	3.21494	−	7.76154i	0.105140	−	0.253830i
$936$	−17.1687	+	3.77769i	−0.561176	+	0.123478i
$937$	−20.9744	−	50.6366i	−0.685203	−	1.65423i	−0.754229	−	0.656612i	$-0.771989\pi$
$937$	−20.9744	−	50.6366i	−0.685203	−	1.65423i	0.0690257	−	0.997615i	$-0.478011\pi$
$938$	19.8219	+	41.6106i	0.647208	+	1.35863i
$939$	2.36968	+	3.32250i	0.0773315	+	0.108426i
$940$	−0.0972909	+	0.184476i	−0.00317328	+	0.00601693i
$941$	22.0612	+	14.7408i	0.719174	+	0.480536i	0.860515	−	0.509424i	$-0.170142\pi$
$941$	22.0612	+	14.7408i	0.719174	+	0.480536i	−0.141342	+	0.989961i	$0.545142\pi$
$942$	20.7640	−	5.94176i	0.676528	−	0.193593i
$943$	6.48410	+	6.48410i	0.211151	+	0.211151i
$944$	27.1026	−	0.301042i	0.882113	−	0.00979809i
$945$	−2.93697	−	32.0136i	−0.0955398	−	1.04140i
$946$	44.8167	−	11.3584i	1.45712	−	0.369292i
$947$	−29.5490	−	19.7440i	−0.960214	−	0.641594i	−0.0265131	−	0.999648i	$-0.508440\pi$
$947$	−29.5490	−	19.7440i	−0.960214	−	0.641594i	−0.933701	+	0.358054i	$0.883440\pi$
$948$	1.24670	−	20.0414i	0.0404909	−	0.650914i
$949$	−14.2317	−	2.83087i	−0.461981	−	0.0918938i
$950$	9.16851	−	25.8504i	0.297466	−	0.838696i
$951$	−52.0429	−	19.7202i	−1.68761	−	0.639470i
$952$	−10.7719	−	11.6878i	−0.349121	−	0.378805i
$953$	−18.7182	+	45.1898i	−0.606342	+	1.46384i	0.260608	+	0.965445i	$0.416077\pi$
$953$	−18.7182	+	45.1898i	−0.606342	+	1.46384i	−0.866950	+	0.498395i	$0.833923\pi$
$954$	15.3000	−	19.2114i	0.495357	−	0.621992i
$955$	−2.28055	−	3.41309i	−0.0737970	−	0.110445i
$956$	6.68754	+	12.3461i	0.216291	+	0.399301i
$957$	−28.8051	+	46.0928i	−0.931135	+	1.48997i
$958$	−12.2096	−	16.3676i	−0.394475	−	0.528813i
$959$	−38.3992			−1.23997
$960$	15.1775	+	16.8110i	0.489852	+	0.542571i
$961$	−25.3610			−0.818096
$962$	−5.20469	−	6.97713i	−0.167806	−	0.224952i
$963$	23.0093	−	6.05546i	0.741463	−	0.195135i
$964$	40.6277	−	22.0069i	1.30853	−	0.708796i
$965$	5.45150	+	8.15875i	0.175490	+	0.262639i
$966$	−45.4359	+	3.75055i	−1.46187	+	0.120672i
$967$	12.1593	−	29.3552i	0.391018	−	0.944000i	−0.598701	−	0.800973i	$-0.704316\pi$
$967$	12.1593	−	29.3552i	0.391018	−	0.944000i	0.989719	−	0.143027i	$-0.0456837\pi$
$968$	0.113476	−	2.78267i	0.00364727	−	0.0894384i
$969$	7.59004	−	20.0307i	0.243827	−	0.643477i
$970$	4.05180	−	11.4239i	0.130095	−	0.366800i
$971$	1.21433	+	0.241545i	0.0389696	+	0.00775154i	0.214537	−	0.976716i	$-0.431176\pi$
$971$	1.21433	+	0.241545i	0.0389696	+	0.00775154i	−0.175567	+	0.984467i	$0.556176\pi$
$972$	−1.86495	−	31.1211i	−0.0598184	−	0.998209i
$973$	−47.0861	−	31.4619i	−1.50951	−	1.00862i
$974$	−26.9985	+	6.84250i	−0.865087	+	0.219248i
$975$	8.35096	−	0.254742i	0.267445	−	0.00815827i
$976$	8.26385	−	20.5948i	0.264519	−	0.659222i
$977$	−15.9315	−	15.9315i	−0.509695	−	0.509695i	0.404738	−	0.914433i	$-0.367363\pi$
$977$	−15.9315	−	15.9315i	−0.509695	−	0.509695i	−0.914433	+	0.404738i	$0.867363\pi$
$978$	−10.5079	−	36.7208i	−0.336006	−	1.17420i
$979$	8.70655	+	5.81753i	0.278262	+	0.185929i
$980$	−21.1869	−	11.1738i	−0.676792	−	0.356935i
$981$	5.09036	+	0.693267i	0.162523	+	0.0221343i
$982$	−8.31824	−	17.4618i	−0.265446	−	0.557229i
$983$	−8.57077	−	20.6917i	−0.273365	−	0.659962i	0.726258	−	0.687423i	$-0.241258\pi$
$983$	−8.57077	−	20.6917i	−0.273365	−	0.659962i	−0.999623	+	0.0274605i	$0.991258\pi$
$984$	1.69029	+	8.97819i	0.0538843	+	0.286214i
$985$	−11.2798	+	27.2319i	−0.359405	+	0.867681i
$986$	0.986658	+	19.0068i	0.0314216	+	0.605301i
$987$	0.0690525	−	0.412519i	0.00219797	−	0.0131306i
$988$	−34.3296	+	3.57378i	−1.09217	+	0.113697i
$989$	−9.05909	−	45.5431i	−0.288062	−	1.44819i
$990$	2.00216	−	23.9236i	0.0636329	−	0.760342i
$991$	−10.2331			−0.325066			−0.162533	−	0.986703i	$-0.551966\pi$
$991$	−10.2331			−0.325066			−0.162533	+	0.986703i	$0.551966\pi$
$992$	−13.4065	+	0.845340i	−0.425656	+	0.0268396i
$993$	−29.2268	+	31.0660i	−0.927485	+	0.985850i
$994$	−6.38353	+	43.8733i	−0.202473	+	1.39158i
$995$	−17.4715	+	3.47530i	−0.553884	+	0.110174i
$996$	2.83106	+	20.9653i	0.0897056	+	0.664312i
$997$	−9.87796	−	14.7834i	−0.312838	−	0.468196i	0.641415	−	0.767194i	$-0.278348\pi$
$997$	−9.87796	−	14.7834i	−0.312838	−	0.468196i	−0.954254	+	0.298998i	$0.903348\pi$
$998$	−0.960183	−	18.4968i	−0.0303941	−	0.585507i
$999$	13.6630	−	7.18592i	0.432278	−	0.227353i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.25	yes	240
3.2	odd	2	inner	192.2.s.a.107.6	✓	240
4.3	odd	2		768.2.s.a.335.25		240
12.11	even	2		768.2.s.a.335.21		240
64.3	odd	16	inner	192.2.s.a.131.6	yes	240
64.61	even	16		768.2.s.a.431.21		240
192.125	odd	16		768.2.s.a.431.25		240
192.131	even	16	inner	192.2.s.a.131.25	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.6	✓	240	3.2	odd	2	inner
192.2.s.a.107.25	yes	240	1.1	even	1	trivial
192.2.s.a.131.6	yes	240	64.3	odd	16	inner
192.2.s.a.131.25	yes	240	192.131	even	16	inner
768.2.s.a.335.21		240	12.11	even	2
768.2.s.a.335.25		240	4.3	odd	2
768.2.s.a.431.21		240	64.61	even	16
768.2.s.a.431.25		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)

\(f(q)\)	\(=\)	\(q+(1.13356 - 0.845597i) q^{2} +(-1.46882 - 0.917918i) q^{3} +(0.569932 - 1.91708i) q^{4} +(0.908097 + 1.35906i) q^{5} +(-2.44119 + 0.201510i) q^{6} +(1.44850 - 3.49700i) q^{7} +(-0.975019 - 2.65506i) q^{8} +(1.31485 + 2.69651i) q^{9} +O(q^{10})\)	\(q+(1.13356 - 0.845597i) q^{2} +(-1.46882 - 0.917918i) q^{3} +(0.569932 - 1.91708i) q^{4} +(0.908097 + 1.35906i) q^{5} +(-2.44119 + 0.201510i) q^{6} +(1.44850 - 3.49700i) q^{7} +(-0.975019 - 2.65506i) q^{8} +(1.31485 + 2.69651i) q^{9} +(2.17861 + 0.772701i) q^{10} +(-3.39536 - 0.675380i) q^{11} +(-2.59684 + 2.29268i) q^{12} +(-1.72260 - 1.15100i) q^{13} +(-1.31508 - 5.18892i) q^{14} +(-0.0863210 - 2.82978i) q^{15} +(-3.35036 - 2.18520i) q^{16} +(1.04981 + 1.04981i) q^{17} +(3.77063 + 1.94483i) q^{18} +(6.92609 + 4.62786i) q^{19} +(3.12298 - 0.966318i) q^{20} +(-5.33754 + 3.80684i) q^{21} +(-4.41996 + 2.10552i) q^{22} +(1.88173 + 4.54290i) q^{23} +(-1.00500 + 4.79479i) q^{24} +(0.891004 - 2.15107i) q^{25} +(-2.92596 + 0.151889i) q^{26} +(0.543893 - 5.16761i) q^{27} +(-5.87846 - 4.76994i) q^{28} +(1.76843 + 8.89050i) q^{29} +(-2.49070 - 3.13474i) q^{30} +2.37466 q^{31} +(-5.64564 + 0.355984i) q^{32} +(4.36723 + 4.10868i) q^{33} +(2.07775 + 0.302311i) q^{34} +(6.06802 - 1.20700i) q^{35} +(5.91879 - 0.983848i) q^{36} +(1.65056 + 2.47024i) q^{37} +(11.7645 - 0.610702i) q^{38} +(1.47366 + 3.27182i) q^{39} +(2.72298 - 3.73617i) q^{40} +(1.72291 - 0.713652i) q^{41} +(-2.83139 + 8.82871i) q^{42} +(-9.26200 - 1.84233i) q^{43} +(-3.22988 + 6.12425i) q^{44} +(-2.47071 + 4.23566i) q^{45} +(5.97452 + 3.55848i) q^{46} +(-0.0451118 + 0.0451118i) q^{47} +(2.91523 + 6.28502i) q^{48} +(-5.18107 - 5.18107i) q^{49} +(-0.808932 - 3.19181i) q^{50} +(-0.578342 - 2.50562i) q^{51} +(-3.18832 + 2.64636i) q^{52} +(1.12932 - 5.67750i) q^{53} +(-3.75318 - 6.31773i) q^{54} +(-2.16544 - 5.22783i) q^{55} +(-10.6970 - 0.436222i) q^{56} +(-5.92516 - 13.1551i) q^{57} +(9.52241 + 8.58257i) q^{58} +(-5.63408 + 3.76457i) q^{59} +(-5.47409 - 1.44730i) q^{60} +(1.08231 + 5.44112i) q^{61} +(2.69183 - 2.00801i) q^{62} +(11.3342 - 0.692136i) q^{63} +(-6.09867 + 5.17747i) q^{64} -3.38634i q^{65} +(8.42482 + 0.964529i) q^{66} +(-8.44485 + 1.67979i) q^{67} +(2.61089 - 1.41425i) q^{68} +(1.40609 - 8.39997i) q^{69} +(5.85785 - 6.49932i) q^{70} +(-7.65191 - 3.16953i) q^{71} +(5.87738 - 6.12016i) q^{72} +(6.47085 - 2.68031i) q^{73} +(3.95985 + 1.40447i) q^{74} +(-3.28323 + 2.34167i) q^{75} +(12.8194 - 10.6403i) q^{76} +(-7.28000 + 10.8953i) q^{77} +(4.43712 + 2.46269i) q^{78} +(-4.09884 + 4.09884i) q^{79} +(-0.0726180 - 6.53773i) q^{80} +(-5.54232 + 7.09103i) q^{81} +(1.34956 - 2.26586i) q^{82} +(3.39292 - 5.07787i) q^{83} +(4.25597 + 12.4021i) q^{84} +(-0.473430 + 2.38009i) q^{85} +(-12.0569 + 5.74353i) q^{86} +(5.56325 - 14.6818i) q^{87} +(1.51737 + 9.67340i) q^{88} +(-2.79449 - 1.15752i) q^{89} +(0.780954 + 6.89062i) q^{90} +(-6.52024 + 4.35669i) q^{91} +(9.78154 - 1.01828i) q^{92} +(-3.48794 - 2.17974i) q^{93} +(-0.0129907 + 0.0892834i) q^{94} +13.6155i q^{95} +(8.61919 + 4.65936i) q^{96} -5.24368i q^{97} +(-10.2542 - 1.49197i) q^{98} +(-2.64324 - 10.0437i) 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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