LMFDB - Embedded newform 192.2.s.a.107.30

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			107.30
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.30

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.40443 + 0.166076i) q^{2} +(-1.62722 + 0.593414i) q^{3} +(1.94484 + 0.466485i) q^{4} +(0.720684 + 1.07858i) q^{5} +(-2.38387 + 0.563164i) q^{6} +(-0.767030 + 1.85177i) q^{7} +(2.65391 + 0.978136i) q^{8} +(2.29572 - 1.93124i) q^{9} +O(q^{10})$	\(q+(1.40443 + 0.166076i) q^{2} +(-1.62722 + 0.593414i) q^{3} +(1.94484 + 0.466485i) q^{4} +(0.720684 + 1.07858i) q^{5} +(-2.38387 + 0.563164i) q^{6} +(-0.767030 + 1.85177i) q^{7} +(2.65391 + 0.978136i) q^{8} +(2.29572 - 1.93124i) q^{9} +(0.833022 + 1.63448i) q^{10} +(-0.967998 - 0.192547i) q^{11} +(-3.44151 + 0.395018i) q^{12} +(2.76775 + 1.84935i) q^{13} +(-1.38477 + 2.47330i) q^{14} +(-1.81276 - 1.32743i) q^{15} +(3.56478 + 1.81447i) q^{16} +(-4.20201 - 4.20201i) q^{17} +(3.54491 - 2.33102i) q^{18} +(1.31593 + 0.879274i) q^{19} +(0.898472 + 2.43385i) q^{20} +(0.149261 - 3.46842i) q^{21} +(-1.32751 - 0.431180i) q^{22} +(-3.41948 - 8.25535i) q^{23} +(-4.89895 - 0.0167782i) q^{24} +(1.26947 - 3.06477i) q^{25} +(3.57998 + 3.05694i) q^{26} +(-2.58963 + 4.50487i) q^{27} +(-2.35557 + 3.24359i) q^{28} +(0.303195 + 1.52426i) q^{29} +(-2.32544 - 2.16533i) q^{30} +1.85722 q^{31} +(4.70514 + 3.14032i) q^{32} +(1.68941 - 0.261107i) q^{33} +(-5.20357 - 6.59928i) q^{34} +(-2.55007 + 0.507241i) q^{35} +(5.36569 - 2.68502i) q^{36} +(-3.53974 - 5.29759i) q^{37} +(1.70210 + 1.45342i) q^{38} +(-5.60119 - 1.36689i) q^{39} +(0.857634 + 3.56738i) q^{40} +(-0.606016 + 0.251020i) q^{41} +(0.785650 - 4.84636i) q^{42} +(-7.79176 - 1.54988i) q^{43} +(-1.79278 - 0.826028i) q^{44} +(3.73748 + 1.08431i) q^{45} +(-3.43139 - 12.1619i) q^{46} +(3.56988 - 3.56988i) q^{47} +(-6.87744 - 0.837164i) q^{48} +(2.10901 + 2.10901i) q^{49} +(2.29186 - 4.09342i) q^{50} +(9.33116 + 4.34409i) q^{51} +(4.52014 + 4.88781i) q^{52} +(0.605519 - 3.04415i) q^{53} +(-4.38510 + 5.89668i) q^{54} +(-0.489944 - 1.18283i) q^{55} +(-3.84692 + 4.16419i) q^{56} +(-2.66308 - 0.649887i) q^{57} +(0.172671 + 2.19107i) q^{58} +(-6.01066 + 4.01619i) q^{59} +(-2.90630 - 3.42725i) q^{60} +(2.31440 + 11.6353i) q^{61} +(2.60833 + 0.308440i) q^{62} +(1.81533 + 5.73247i) q^{63} +(6.08650 + 5.19177i) q^{64} +4.31804i q^{65} +(2.41602 - 0.0861344i) q^{66} +(12.2580 - 2.43827i) q^{67} +(-6.21206 - 10.1324i) q^{68} +(10.4631 + 11.4041i) q^{69} +(-3.66563 + 0.288877i) q^{70} +(10.2302 + 4.23749i) q^{71} +(7.98165 - 2.87980i) q^{72} +(-8.22378 + 3.40640i) q^{73} +(-4.09150 - 8.02795i) q^{74} +(-0.247034 + 5.74039i) q^{75} +(2.14909 + 2.32390i) q^{76} +(1.09904 - 1.64482i) q^{77} +(-7.63946 - 2.84993i) q^{78} +(4.22403 - 4.22403i) q^{79} +(0.612028 + 5.15257i) q^{80} +(1.54066 - 8.86715i) q^{81} +(-0.892794 + 0.251894i) q^{82} +(-8.63710 + 12.9263i) q^{83} +(1.90825 - 6.67588i) q^{84} +(1.50388 - 7.56053i) q^{85} +(-10.6856 - 3.47072i) q^{86} +(-1.39789 - 2.30040i) q^{87} +(-2.38064 - 1.45784i) q^{88} +(-10.4476 - 4.32753i) q^{89} +(5.06894 + 2.14354i) q^{90} +(-5.54754 + 3.70675i) q^{91} +(-2.79933 - 17.6505i) q^{92} +(-3.02211 + 1.10210i) q^{93} +(5.60652 - 4.42077i) q^{94} +2.05301i q^{95} +(-9.51984 - 2.31792i) q^{96} +4.02440i q^{97} +(2.61170 + 3.31222i) q^{98} +(-2.59411 + 1.42740i) 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 $

$2$	1.40443	+	0.166076i	0.993081	+	0.117434i
$2$	1.40443	+	0.166076i	0.993081	+	0.117434i
$3$	−1.62722	+	0.593414i	−0.939479	+	0.342608i
$3$	−1.62722	+	0.593414i	−0.939479	+	0.342608i
$4$	1.94484	+	0.466485i	0.972419	+	0.233242i
$5$	0.720684	+	1.07858i	0.322300	+	0.482355i	0.956873	−	0.290507i	$-0.0938241\pi$
$5$	0.720684	+	1.07858i	0.322300	+	0.482355i	−0.634573	+	0.772863i	$0.718824\pi$
$6$	−2.38387	+	0.563164i	−0.973212	+	0.229911i
$7$	−0.767030	+	1.85177i	−0.289910	+	0.699905i	−0.999991	−	0.00421502i	$-0.998658\pi$
$7$	−0.767030	+	1.85177i	−0.289910	+	0.699905i	0.710081	+	0.704120i	$0.248658\pi$
$8$	2.65391	+	0.978136i	0.938300	+	0.345823i
$9$	2.29572	−	1.93124i	0.765240	−	0.643745i
$10$	0.833022	+	1.63448i	0.263425	+	0.516867i
$11$	−0.967998	−	0.192547i	−0.291862	−	0.0580550i	0.0469875	−	0.998895i	$-0.485038\pi$
$11$	−0.967998	−	0.192547i	−0.291862	−	0.0580550i	−0.338850	+	0.940840i	$0.610038\pi$
$12$	−3.44151	+	0.395018i	−0.993477	+	0.114032i
$13$	2.76775	+	1.84935i	0.767637	+	0.512919i	0.876654	−	0.481121i	$-0.159770\pi$
$13$	2.76775	+	1.84935i	0.767637	+	0.512919i	−0.109017	+	0.994040i	$0.534770\pi$
$14$	−1.38477	+	2.47330i	−0.370097	+	0.661017i
$15$	−1.81276	−	1.32743i	−0.468052	−	0.342740i
$16$	3.56478	+	1.81447i	0.891196	+	0.453618i
$17$	−4.20201	−	4.20201i	−1.01914	−	1.01914i	−0.999813	−	0.0193250i	$-0.993848\pi$
$17$	−4.20201	−	4.20201i	−1.01914	−	1.01914i	−0.0193250	−	0.999813i	$-0.506152\pi$
$18$	3.54491	−	2.33102i	0.835542	−	0.549426i
$19$	1.31593	+	0.879274i	0.301894	+	0.201719i	0.697285	−	0.716794i	$-0.254391\pi$
$19$	1.31593	+	0.879274i	0.301894	+	0.201719i	−0.395391	+	0.918513i	$0.629391\pi$
$20$	0.898472	+	2.43385i	0.200904	+	0.544225i
$21$	0.149261	−	3.46842i	0.0325715	−	0.756871i
$22$	−1.32751	−	0.431180i	−0.283025	−	0.0919278i
$23$	−3.41948	−	8.25535i	−0.713011	−	1.72136i	−0.692337	−	0.721574i	$-0.743419\pi$
$23$	−3.41948	−	8.25535i	−0.713011	−	1.72136i	−0.0206735	−	0.999786i	$-0.506581\pi$
$24$	−4.89895	−	0.0167782i	−0.999994	−	0.00342483i
$25$	1.26947	−	3.06477i	0.253894	−	0.612954i
$26$	3.57998	+	3.05694i	0.702091	+	0.599516i
$27$	−2.58963	+	4.50487i	−0.498374	+	0.866962i
$28$	−2.35557	+	3.24359i	−0.445162	+	0.612981i
$29$	0.303195	+	1.52426i	0.0563019	+	0.283049i	0.998672	−	0.0515242i	$-0.0164079\pi$
$29$	0.303195	+	1.52426i	0.0563019	+	0.283049i	−0.942370	+	0.334573i	$0.891408\pi$
$30$	−2.32544	−	2.16533i	−0.424564	−	0.395334i
$31$	1.85722			0.333566			0.166783	−	0.985994i	$-0.446662\pi$
$31$	1.85722			0.333566			0.166783	+	0.985994i	$0.446662\pi$
$32$	4.70514	+	3.14032i	0.831759	+	0.555136i
$33$	1.68941	−	0.261107i	0.294089	−	0.0454528i
$34$	−5.20357	−	6.59928i	−0.892405	−	1.13177i
$35$	−2.55007	+	0.507241i	−0.431041	+	0.0857394i
$36$	5.36569	−	2.68502i	0.894282	−	0.447503i
$37$	−3.53974	−	5.29759i	−0.581929	−	0.870918i	0.417355	−	0.908743i	$-0.362957\pi$
$37$	−3.53974	−	5.29759i	−0.581929	−	0.870918i	−0.999284	+	0.0378252i	$0.987957\pi$
$38$	1.70210	+	1.45342i	0.276117	+	0.235776i
$39$	−5.60119	−	1.36689i	−0.896908	−	0.218878i
$40$	0.857634	+	3.56738i	0.135604	+	0.564053i
$41$	−0.606016	+	0.251020i	−0.0946437	+	0.0392027i	−0.429503	−	0.903065i	$-0.641311\pi$
$41$	−0.606016	+	0.251020i	−0.0946437	+	0.0392027i	0.334859	+	0.942268i	$0.391311\pi$
$42$	0.785650	−	4.84636i	0.121228	−	0.747809i
$43$	−7.79176	−	1.54988i	−1.18823	−	0.236354i	−0.438892	−	0.898540i	$-0.644629\pi$
$43$	−7.79176	−	1.54988i	−1.18823	−	0.236354i	−0.749340	+	0.662185i	$0.769629\pi$
$44$	−1.79278	−	0.826028i	−0.270272	−	0.124528i
$45$	3.73748	+	1.08431i	0.557151	+	0.161639i
$46$	−3.43139	−	12.1619i	−0.505931	−	1.79318i
$47$	3.56988	−	3.56988i	0.520721	−	0.520721i	−0.397068	−	0.917789i	$-0.629972\pi$
$47$	3.56988	−	3.56988i	0.520721	−	0.520721i	0.917789	+	0.397068i	$0.129972\pi$
$48$	−6.87744	−	0.837164i	−0.992673	−	0.120834i
$49$	2.10901	+	2.10901i	0.301288	+	0.301288i
$50$	2.29186	−	4.09342i	0.324118	−	0.578897i
$51$	9.33116	+	4.34409i	1.30662	+	0.608294i
$52$	4.52014	+	4.88781i	0.626830	+	0.677817i
$53$	0.605519	−	3.04415i	0.0831744	−	0.418146i	−0.916655	−	0.399679i	$-0.869122\pi$
$53$	0.605519	−	3.04415i	0.0831744	−	0.418146i	0.999829	−	0.0184666i	$-0.00587845\pi$
$54$	−4.38510	+	5.89668i	−0.596737	+	0.802437i
$55$	−0.489944	−	1.18283i	−0.0660640	−	0.159493i
$56$	−3.84692	+	4.16419i	−0.514066	+	0.556463i
$57$	−2.66308	−	0.649887i	−0.352734	−	0.0860796i
$58$	0.172671	+	2.19107i	0.0226729	+	0.287702i
$59$	−6.01066	+	4.01619i	−0.782521	+	0.522864i	−0.881476	−	0.472228i	$-0.843450\pi$
$59$	−6.01066	+	4.01619i	−0.782521	+	0.522864i	0.0989555	+	0.995092i	$0.468450\pi$
$60$	−2.90630	−	3.42725i	−0.375201	−	0.442457i
$61$	2.31440	+	11.6353i	0.296328	+	1.48974i	0.786214	+	0.617955i	$0.212038\pi$
$61$	2.31440	+	11.6353i	0.296328	+	1.48974i	−0.489886	+	0.871787i	$0.662962\pi$
$62$	2.60833	+	0.308440i	0.331258	+	0.0391719i
$63$	1.81533	+	5.73247i	0.228710	+	0.722224i
$64$	6.08650	+	5.19177i	0.760813	+	0.648972i
$65$			4.31804i			0.535587i
$66$	2.41602	−	0.0861344i	0.297391	−	0.0106024i
$67$	12.2580	−	2.43827i	1.49755	−	0.297882i	0.622774	−	0.782402i	$-0.286006\pi$
$67$	12.2580	−	2.43827i	1.49755	−	0.297882i	0.874780	+	0.484520i	$0.161006\pi$
$68$	−6.21206	−	10.1324i	−0.753323	−	1.22874i
$69$	10.4631	+	11.4041i	1.25961	+	1.37290i
$70$	−3.66563	+	0.288877i	−0.438127	+	0.0345274i
$71$	10.2302	+	4.23749i	1.21410	+	0.502897i	0.895530	−	0.445001i	$-0.146797\pi$
$71$	10.2302	+	4.23749i	1.21410	+	0.502897i	0.318572	+	0.947899i	$0.396797\pi$
$72$	7.98165	−	2.87980i	0.940646	−	0.339388i
$73$	−8.22378	+	3.40640i	−0.962521	+	0.398689i	−0.807923	−	0.589288i	$-0.799408\pi$
$73$	−8.22378	+	3.40640i	−0.962521	+	0.398689i	−0.154598	+	0.987977i	$0.549408\pi$
$74$	−4.09150	−	8.02795i	−0.475627	−	0.933230i
$75$	−0.247034	+	5.74039i	−0.0285251	+	0.662843i
$76$	2.14909	+	2.32390i	0.246518	+	0.266570i
$77$	1.09904	−	1.64482i	0.125247	−	0.187445i
$78$	−7.63946	−	2.84993i	−0.864999	−	0.322690i
$79$	4.22403	−	4.22403i	0.475241	−	0.475241i	−0.428365	−	0.903606i	$-0.640910\pi$
$79$	4.22403	−	4.22403i	0.475241	−	0.475241i	0.903606	+	0.428365i	$0.140910\pi$
$80$	0.612028	+	5.15257i	0.0684268	+	0.576074i
$81$	1.54066	−	8.86715i	0.171184	−	0.985239i
$82$	−0.892794	+	0.251894i	−0.0985926	+	0.0278171i
$83$	−8.63710	+	12.9263i	−0.948044	+	1.41885i	−0.0403648	+	0.999185i	$0.512852\pi$
$83$	−8.63710	+	12.9263i	−0.948044	+	1.41885i	−0.907680	+	0.419664i	$0.862148\pi$
$84$	1.90825	−	6.67588i	0.208208	−	0.728399i
$85$	1.50388	−	7.56053i	0.163119	−	0.820055i
$86$	−10.6856	−	3.47072i	−1.15225	−	0.374257i
$87$	−1.39789	−	2.30040i	−0.149869	−	0.246629i
$88$	−2.38064	−	1.45784i	−0.253778	−	0.155406i
$89$	−10.4476	−	4.32753i	−1.10744	−	0.458717i	−0.247385	−	0.968917i	$-0.579571\pi$
$89$	−10.4476	−	4.32753i	−1.10744	−	0.458717i	−0.860056	+	0.510200i	$0.829571\pi$
$90$	5.06894	+	2.14354i	0.534314	+	0.225949i
$91$	−5.54754	+	3.70675i	−0.581540	+	0.388573i
$92$	−2.79933	−	17.6505i	−0.291851	−	1.84019i
$93$	−3.02211	+	1.10210i	−0.313378	+	0.114282i
$94$	5.60652	−	4.42077i	0.578268	−	0.455968i
$95$			2.05301i			0.210634i
$96$	−9.51984	−	2.31792i	−0.971614	−	0.236571i
$97$			4.02440i			0.408616i	0.978907	+	0.204308i	$0.0654945\pi$
$97$			4.02440i			0.408616i	−0.978907	+	0.204308i	$0.934506\pi$
$98$	2.61170	+	3.31222i	0.263822	+	0.334584i
$99$	−2.59411	+	1.42740i	−0.260717	+	0.143459i
$100$	3.89858	−	5.36829i	0.389858	−	0.536829i
$101$	13.9098	−	9.29424i	1.38408	−	0.924811i	0.384079	−	0.923300i	$-0.374519\pi$
$101$	13.9098	−	9.29424i	1.38408	−	0.924811i	0.999999	−	0.00151063i	$-0.000480849\pi$
$102$	12.3835	+	7.65064i	1.22615	+	0.757527i
$103$	−3.57072	−	1.47904i	−0.351833	−	0.145734i	0.199765	−	0.979844i	$-0.435982\pi$
$103$	−3.57072	−	1.47904i	−0.351833	−	0.145734i	−0.551599	+	0.834110i	$0.685982\pi$
$104$	5.53646	+	7.61526i	0.542894	+	0.746738i
$105$	3.84854	−	2.33864i	0.375579	−	0.228228i
$106$	1.35597	−	4.17472i	0.131703	−	0.405485i
$107$	0.469101	−	2.35833i	0.0453497	−	0.227989i	−0.951463	−	0.307762i	$-0.900420\pi$
$107$	0.469101	−	2.35833i	0.0453497	−	0.227989i	0.996813	+	0.0797738i	$0.0254198\pi$
$108$	−7.13786	+	7.55321i	−0.686841	+	0.726808i
$109$	−6.70309	+	10.0319i	−0.642040	+	0.960881i	0.357595	+	0.933877i	$0.383597\pi$
$109$	−6.70309	+	10.0319i	−0.642040	+	0.960881i	−0.999635	+	0.0270042i	$0.991403\pi$
$110$	−0.491651	−	1.74257i	−0.0468771	−	0.166147i
$111$	8.90361	+	6.51984i	0.845093	+	0.618836i
$112$	−6.09429	+	5.20942i	−0.575857	+	0.492244i
$113$	−14.1735	+	14.1735i	−1.33333	+	1.33333i	−0.430958	+	0.902372i	$0.641824\pi$
$113$	−14.1735	+	14.1735i	−1.33333	+	1.33333i	−0.902372	+	0.430958i	$0.858176\pi$
$114$	−3.63217	−	1.35499i	−0.340184	−	0.126907i
$115$	6.43969	−	9.63768i	0.600504	−	0.898718i
$116$	−0.121381	+	3.10588i	−0.0112699	+	0.288374i
$117$	9.92553	−	1.09959i	0.917615	−	0.101657i
$118$	−9.10853	+	4.64223i	−0.838508	+	0.427352i
$119$	11.0043	−	4.55811i	1.00876	−	0.417841i
$120$	−3.51250	−	5.29600i	−0.320646	−	0.483456i
$121$	−9.26273	−	3.83675i	−0.842066	−	0.348795i
$122$	1.31806	+	16.7252i	0.119332	+	1.51423i
$123$	0.837165	−	0.768084i	0.0754846	−	0.0692558i
$124$	3.61199	+	0.866363i	0.324366	+	0.0778017i
$125$	10.5818	−	2.10486i	0.946468	−	0.188264i
$126$	1.59747	+	8.35233i	0.142314	+	0.744084i
$127$		−	0.155374i		−	0.0137873i	−0.999976	−	0.00689363i	$-0.997806\pi$
$127$		−	0.155374i		−	0.0137873i	0.999976	−	0.00689363i	$-0.00219433\pi$
$128$	7.68582	+	8.30230i	0.679337	+	0.733826i
$129$	13.5987	−	2.10174i	1.19730	−	0.185048i
$130$	−0.717125	+	6.06438i	−0.0628960	+	0.531881i
$131$	−3.39595	−	17.0726i	−0.296706	−	1.49164i	−0.785292	−	0.619125i	$-0.787487\pi$
$131$	−3.39595	−	17.0726i	−0.296706	−	1.49164i	0.488586	−	0.872516i	$-0.337513\pi$
$132$	3.40743	+	0.280274i	0.296579	+	0.0243947i
$133$	−2.63757	+	1.76237i	−0.228706	+	0.152817i
$134$	17.6204	−	1.38861i	1.52217	−	0.119958i
$135$	−6.72516	+	0.453462i	−0.578810	+	0.0390278i
$136$	−7.04164	−	15.2619i	−0.603815	−	1.30870i
$137$	5.24233	+	12.6561i	0.447883	+	1.08128i	0.973114	+	0.230325i	$0.0739789\pi$
$137$	5.24233	+	12.6561i	0.447883	+	1.08128i	−0.525231	+	0.850960i	$0.676021\pi$
$138$	12.8007	+	17.7540i	1.08967	+	1.51132i
$139$	0.184246	−	0.926267i	0.0156275	−	0.0785649i	−0.972185	−	0.234216i	$-0.924748\pi$
$139$	0.184246	−	0.926267i	0.0156275	−	0.0785649i	0.987812	+	0.155651i	$0.0497476\pi$
$140$	−5.19610	−	0.203069i	−0.439150	−	0.0171624i
$141$	−3.69058	+	7.92742i	−0.310803	+	0.667609i
$142$	13.6638	+	7.65024i	1.14664	+	0.641994i
$143$	−2.32309	−	2.32309i	−0.194267	−	0.194267i
$144$	11.6879	−	2.71891i	0.973993	−	0.226576i
$145$	−1.42553	+	1.42553i	−0.118384	+	0.118384i
$146$	−12.1154	+	3.41827i	−1.00268	+	0.282898i
$147$	−4.68336	−	2.18032i	−0.386277	−	0.179830i
$148$	−4.41297	−	11.9542i	−0.362743	−	0.982627i
$149$	−12.9342	−	2.57278i	−1.05961	−	0.210770i	−0.365629	−	0.930761i	$-0.619146\pi$
$149$	−12.9342	−	2.57278i	−1.05961	−	0.210770i	−0.693984	+	0.719990i	$0.744146\pi$
$150$	−1.30028	+	8.02093i	−0.106168	+	0.654906i
$151$	3.52819	−	1.46142i	0.287120	−	0.118929i	−0.234475	−	0.972122i	$-0.575337\pi$
$151$	3.52819	−	1.46142i	0.287120	−	0.118929i	0.521595	+	0.853193i	$0.325337\pi$
$152$	2.63230	+	3.62067i	0.213508	+	0.293675i
$153$	−17.7617	−	1.53157i	−1.43595	−	0.123820i
$154$	1.81668	−	2.12751i	0.146393	−	0.171440i
$155$	1.33847	+	2.00316i	0.107508	+	0.160897i
$156$	−10.2558	−	5.27125i	−0.821119	−	0.422038i
$157$	−2.35944	+	0.469323i	−0.188304	+	0.0374560i	−0.288341	−	0.957528i	$-0.593104\pi$
$157$	−2.35944	+	0.469323i	−0.188304	+	0.0374560i	0.100037	+	0.994984i	$0.468104\pi$
$158$	6.63386	−	5.23084i	0.527762	−	0.416143i
$159$	0.821125	+	5.31283i	0.0651194	+	0.421335i
$160$	0.00382993	+	7.33805i	0.000302782	+	0.580124i
$161$	17.9099			1.41150
$162$	3.63637	−	12.1974i	0.285700	−	0.958319i
$163$	−2.38176	−	11.9739i	−0.186554	−	0.937869i	−0.954694	−	0.297588i	$-0.903818\pi$
$163$	−2.38176	−	11.9739i	−0.186554	−	0.937869i	0.768141	−	0.640281i	$-0.221182\pi$
$164$	−1.29570	+	0.205496i	−0.101177	+	0.0160465i
$165$	1.49915	+	1.63399i	0.116709	+	0.127206i
$166$	−14.2769	+	16.7197i	−1.10811	+	1.29770i
$167$	−5.64526	+	13.6289i	−0.436843	+	1.05463i	0.540189	+	0.841544i	$0.318353\pi$
$167$	−5.64526	+	13.6289i	−0.436843	+	1.05463i	−0.977033	+	0.213090i	$0.931647\pi$
$168$	3.78871	−	9.05888i	0.292306	−	0.698908i
$169$	−0.734533	−	1.77332i	−0.0565025	−	0.136409i
$170$	3.36772	−	10.3685i	0.258292	−	0.795225i
$171$	4.71908	−	0.522797i	0.360877	−	0.0399793i
$172$	−14.4307	−	6.64900i	−1.10033	−	0.506981i
$173$	−7.13355	−	4.76648i	−0.542354	−	0.362389i	0.254015	−	0.967200i	$-0.418249\pi$
$173$	−7.13355	−	4.76648i	−0.542354	−	0.362389i	−0.796369	+	0.604811i	$0.793249\pi$
$174$	−1.58119	−	3.46290i	−0.119870	−	0.262522i
$175$	4.70154	+	4.70154i	0.355403	+	0.355403i
$176$	−3.10133	−	2.44279i	−0.233772	−	0.184133i
$177$	7.39742	−	10.1021i	0.556024	−	0.759317i
$178$	−13.9542	−	7.81280i	−1.04591	−	0.585594i
$179$	5.74521	+	3.83883i	0.429417	+	0.286928i	0.751436	−	0.659806i	$-0.229361\pi$
$179$	5.74521	+	3.83883i	0.429417	+	0.286928i	−0.322019	+	0.946733i	$0.604361\pi$
$180$	6.76298	+	3.85228i	0.504083	+	0.287132i
$181$	−20.4058	−	4.05897i	−1.51675	−	0.301701i	−0.634665	−	0.772788i	$-0.718862\pi$
$181$	−20.4058	−	4.05897i	−1.51675	−	0.301701i	−0.882087	+	0.471087i	$0.843862\pi$
$182$	−8.40672	+	4.28454i	−0.623148	+	0.317592i
$183$	−10.6706	−	17.5598i	−0.788791	−	1.29806i
$184$	−1.00014	−	25.2537i	−0.0737314	−	1.86173i
$185$	3.16284	−	7.63577i	0.232537	−	0.561393i
$186$	−4.42737	+	1.04592i	−0.324630	+	0.0766904i
$187$	3.25846	+	4.87663i	0.238282	+	0.356614i
$188$	8.60814	−	5.27754i	0.627813	−	0.384905i
$189$	−6.35567	−	8.25078i	−0.462307	−	0.600156i
$190$	−0.340956	+	2.88330i	−0.0247356	+	0.209177i
$191$	15.4616			1.11876			0.559382	−	0.828910i	$-0.311038\pi$
$191$	15.4616			1.11876			0.559382	+	0.828910i	$0.311038\pi$
$192$	−12.9850	−	4.83637i	−0.937110	−	0.349035i
$193$	−4.44552			−0.319995			−0.159998	−	0.987117i	$-0.551149\pi$
$193$	−4.44552			−0.319995			−0.159998	+	0.987117i	$0.551149\pi$
$194$	−0.668359	+	5.65199i	−0.0479853	+	0.405789i
$195$	−2.56239	−	7.02643i	−0.183496	−	0.503173i
$196$	3.11787	+	5.08551i	0.222705	+	0.363251i
$197$	1.32687	+	1.98581i	0.0945358	+	0.141483i	0.875723	−	0.482814i	$-0.160385\pi$
$197$	1.32687	+	1.98581i	0.0945358	+	0.141483i	−0.781187	+	0.624297i	$0.785385\pi$
$198$	−3.88029	+	1.57386i	−0.275760	+	0.111849i
$199$	7.94054	−	19.1702i	0.562890	−	1.35894i	−0.344555	−	0.938766i	$-0.611970\pi$
$199$	7.94054	−	19.1702i	0.562890	−	1.35894i	0.907445	−	0.420171i	$-0.138030\pi$
$200$	6.36682	−	6.89191i	0.450202	−	0.487332i
$201$	−18.4996	+	11.2417i	−1.30486	+	0.792928i
$202$	21.0789	−	10.7430i	1.48310	−	0.755875i
$203$	−3.05515	−	0.607708i	−0.214430	−	0.0426527i
$204$	16.1211	+	12.8014i	1.12870	+	0.896276i
$205$	−0.707491	−	0.472730i	−0.0494133	−	0.0330169i
$206$	−4.76919	−	2.67022i	−0.332285	−	0.186043i
$207$	−23.7932	−	12.3482i	−1.65374	−	0.858256i
$208$	6.51084	+	11.6146i	0.451446	+	0.805325i
$209$	−1.10451	−	1.10451i	−0.0764007	−	0.0764007i
$210$	5.79339	−	2.64531i	0.399782	−	0.182543i
$211$	2.28666	+	1.52790i	0.157420	+	0.105185i	0.631785	−	0.775143i	$-0.282322\pi$
$211$	2.28666	+	1.52790i	0.157420	+	0.105185i	−0.474365	+	0.880328i	$0.657322\pi$
$212$	2.59768	−	5.63791i	0.178410	−	0.387213i
$213$	−19.1614	−	0.824601i	−1.31292	−	0.0565007i
$214$	1.05048	−	3.23420i	0.0718095	−	0.221085i
$215$	−3.94373	−	9.52101i	−0.268960	−	0.649327i
$216$	−11.2790	+	9.42251i	−0.767440	+	0.641121i
$217$	−1.42454	+	3.43915i	−0.0967042	+	0.233465i
$218$	−11.0801	+	12.9758i	−0.750437	+	0.878835i
$219$	11.3605	−	10.4231i	0.767674	−	0.704327i
$220$	−0.401089	−	2.52896i	−0.0270414	−	0.170502i
$221$	−3.85913	−	19.4012i	−0.259593	−	1.30506i
$222$	11.4217	+	10.6353i	0.766573	+	0.713796i
$223$	14.4098			0.964951			0.482476	−	0.875909i	$-0.339738\pi$
$223$	14.4098			0.964951			0.482476	+	0.875909i	$0.339738\pi$
$224$	−9.42416	+	6.30414i	−0.629678	+	0.421213i
$225$	−3.00444	−	9.48749i	−0.200296	−	0.632499i
$226$	−22.2595	+	17.5518i	−1.48068	+	1.16753i
$227$	4.85500	−	0.965719i	0.322238	−	0.0640970i	−0.0313212	−	0.999509i	$-0.509971\pi$
$227$	4.85500	−	0.965719i	0.322238	−	0.0640970i	0.353559	+	0.935412i	$0.384971\pi$
$228$	−4.87610	−	2.50621i	−0.322927	−	0.165978i
$229$	2.62485	+	3.92837i	0.173455	+	0.259594i	0.908004	−	0.418962i	$-0.137606\pi$
$229$	2.62485	+	3.92837i	0.173455	+	0.259594i	−0.734549	+	0.678556i	$0.762606\pi$
$230$	10.6447	−	12.4660i	0.701889	−	0.821980i
$231$	−0.812318	+	3.32868i	−0.0534466	+	0.219011i
$232$	−0.686284	+	4.34183i	−0.0450568	+	0.285055i
$233$	−4.22871	+	1.75159i	−0.277032	+	0.114751i	−0.516874	−	0.856061i	$-0.672904\pi$
$233$	−4.22871	+	1.75159i	−0.277032	+	0.114751i	0.239842	+	0.970812i	$0.422904\pi$
$234$	14.1223	+	0.104106i	0.923204	+	0.00680561i
$235$	6.42316	+	1.27765i	0.419001	+	0.0833444i
$236$	−13.5632	+	5.00696i	−0.882892	+	0.325925i
$237$	−4.36685	+	9.38005i	−0.283657	+	0.609300i
$238$	16.2117	−	4.57399i	1.05085	−	0.296488i
$239$	−14.7182	+	14.7182i	−0.952039	+	0.952039i	−0.998901	−	0.0468626i	$-0.985078\pi$
$239$	−14.7182	+	14.7182i	−0.952039	+	0.952039i	0.0468626	+	0.998901i	$0.485078\pi$
$240$	−4.05351	−	8.02120i	−0.261653	−	0.517766i
$241$	10.1915	+	10.1915i	0.656494	+	0.656494i	0.954549	−	0.298055i	$-0.0963379\pi$
$241$	10.1915	+	10.1915i	0.656494	+	0.656494i	−0.298055	+	0.954549i	$0.596338\pi$
$242$	−12.3716	−	6.92676i	−0.795279	−	0.445269i
$243$	2.75489	+	15.3431i	0.176726	+	0.984260i
$244$	−0.926544	+	23.7083i	−0.0593159	+	1.51777i
$245$	−0.754807	+	3.79467i	−0.0482229	+	0.242433i
$246$	1.30330	−	0.939685i	0.0830953	−	0.0599121i
$247$	2.01607	+	4.86723i	0.128280	+	0.309694i
$248$	4.92889	+	1.81661i	0.312985	+	0.115355i
$249$	6.38383	−	26.1594i	0.404559	−	1.65779i
$250$	15.2110	−	1.19873i	0.962028	−	0.0758143i
$251$	−9.56353	+	6.39015i	−0.603645	+	0.403343i	−0.819497	−	0.573083i	$-0.805747\pi$
$251$	−9.56353	+	6.39015i	−0.603645	+	0.403343i	0.215852	+	0.976426i	$0.430747\pi$
$252$	0.856404	+	11.9955i	0.0539484	+	0.755648i
$253$	1.72051	+	8.64958i	0.108167	+	0.543794i
$254$	0.0258040	−	0.218212i	0.00161909	−	0.0136919i
$255$	2.03937	+	13.1951i	0.127710	+	0.826310i
$256$	9.41537	+	12.9364i	0.588461	+	0.808526i
$257$		−	2.75570i		−	0.171896i	−0.996300	−	0.0859479i	$-0.972608\pi$
$257$		−	2.75570i		−	0.171896i	0.996300	−	0.0859479i	$-0.0273919\pi$
$258$	19.4474	−	0.693327i	1.21074	−	0.0431646i
$259$	12.5250	−	2.49138i	0.778267	−	0.154807i
$260$	−2.01430	+	8.39789i	−0.124922	+	0.520815i
$261$	3.63976	+	2.91374i	0.225296	+	0.180356i
$262$	−1.93402	−	24.5412i	−0.119484	−	1.51616i
$263$	4.46471	+	1.84934i	0.275306	+	0.114035i	0.516065	−	0.856549i	$-0.327396\pi$
$263$	4.46471	+	1.84934i	0.275306	+	0.114035i	−0.240759	+	0.970585i	$0.577396\pi$
$264$	4.73894	+	0.959518i	0.291662	+	0.0590543i
$265$	3.71974	−	1.54077i	0.228502	−	0.0946486i
$266$	−3.99697	+	2.03708i	−0.245070	+	0.124902i
$267$	19.5686	+	0.842122i	1.19758	+	0.0515370i
$268$	24.9773	+	0.976136i	1.52573	+	0.0596270i
$269$	−13.9475	+	20.8740i	−0.850396	+	1.27271i	0.109961	+	0.993936i	$0.464927\pi$
$269$	−13.9475	+	20.8740i	−0.850396	+	1.27271i	−0.960357	+	0.278772i	$0.910073\pi$
$270$	−9.52032	−	0.480035i	−0.579388	−	0.0292140i
$271$	−2.50752	+	2.50752i	−0.152321	+	0.152321i	−0.779154	−	0.626833i	$-0.784351\pi$
$271$	−2.50752	+	2.50752i	−0.152321	+	0.152321i	0.626833	+	0.779154i	$0.284351\pi$
$272$	−7.35483	−	22.6037i	−0.445952	−	1.37055i
$273$	6.82746	−	9.32369i	0.413216	−	0.564296i
$274$	5.26060	+	18.6452i	0.317804	+	1.12640i
$275$	−1.81895	+	2.72226i	−0.109687	+	0.164158i
$276$	15.0292	+	27.0601i	0.904650	+	1.62883i
$277$	2.00578	−	10.0838i	0.120516	−	0.605875i	−0.872570	−	0.488488i	$-0.837548\pi$
$277$	2.00578	−	10.0838i	0.120516	−	0.605875i	0.993086	−	0.117386i	$-0.0374515\pi$
$278$	0.412591	−	1.27028i	0.0247456	−	0.0761861i
$279$	4.26365	−	3.58672i	0.255258	−	0.214732i
$280$	−7.26382	−	1.14814i	−0.434096	−	0.0686148i
$281$	23.5087	+	9.73764i	1.40241	+	0.580899i	0.950377	−	0.311100i	$-0.100698\pi$
$281$	23.5087	+	9.73764i	1.40241	+	0.580899i	0.452037	+	0.891999i	$0.350698\pi$
$282$	−6.49972	+	10.5206i	−0.387052	+	0.626491i
$283$	−14.0073	+	9.35938i	−0.832648	+	0.556357i	−0.897234	−	0.441555i	$-0.854427\pi$
$283$	−14.0073	+	9.35938i	−0.832648	+	0.556357i	0.0645865	+	0.997912i	$0.479427\pi$
$284$	17.9194	+	13.0135i	1.06332	+	0.772207i
$285$	−1.21828	−	3.34071i	−0.0721649	−	0.197886i
$286$	−2.87681	−	3.64843i	−0.170109	−	0.215736i
$287$		−	1.31474i		−	0.0776069i
$288$	16.8664	−	1.87743i	0.993862	−	0.110629i
$289$			18.3139i			1.07729i
$290$	−2.23881	+	1.76531i	−0.131467	+	0.103663i
$291$	−2.38814	−	6.54861i	−0.139995	−	0.383886i
$292$	−17.5830	+	2.78863i	−1.02896	+	0.163192i
$293$	−3.61126	+	2.41296i	−0.210972	+	0.140967i	−0.656567	−	0.754268i	$-0.727992\pi$
$293$	−3.61126	+	2.41296i	−0.210972	+	0.140967i	0.445595	+	0.895235i	$0.352992\pi$
$294$	−6.21534	−	3.83990i	−0.362486	−	0.223947i
$295$	−8.66357	−	3.58857i	−0.504412	−	0.208934i
$296$	−4.21239	−	17.5217i	−0.244840	−	1.01843i
$297$	3.37415	−	3.86208i	0.195788	−	0.224100i
$298$	−17.7379	−	5.76135i	−1.02753	−	0.333746i
$299$	5.80279	−	29.1726i	0.335584	−	1.68710i
$300$	−3.15824	+	11.0489i	−0.182341	+	0.637907i
$301$	8.84654	−	13.2398i	0.509906	−	0.763128i
$302$	5.19780	−	1.46652i	0.299100	−	0.0843886i
$303$	−17.1191	+	23.3781i	−0.983464	+	1.34304i
$304$	3.09557	+	5.52213i	0.177543	+	0.316716i
$305$	−10.8816	+	10.8816i	−0.623078	+	0.623078i
$306$	−24.6907	−	5.10078i	−1.41147	−	0.291592i
$307$	−1.92265	+	2.87744i	−0.109731	+	0.164224i	−0.882271	−	0.470742i	$-0.843986\pi$
$307$	−1.92265	+	2.87744i	−0.109731	+	0.164224i	0.772540	+	0.634967i	$0.218986\pi$
$308$	2.90473	−	2.68623i	0.165513	−	0.153062i
$309$	6.68805	+	0.287816i	0.380470	+	0.0163733i
$310$	1.54710	+	3.03558i	0.0878696	+	0.172409i
$311$	17.5455	−	7.26758i	0.994913	−	0.412107i	0.174984	−	0.984571i	$-0.444013\pi$
$311$	17.5455	−	7.26758i	0.994913	−	0.412107i	0.819929	+	0.572465i	$0.194013\pi$
$312$	−13.5281	−	9.10633i	−0.765876	−	0.515545i
$313$	12.3369	+	5.11012i	0.697324	+	0.288841i	0.703048	−	0.711143i	$-0.251822\pi$
$313$	12.3369	+	5.11012i	0.697324	+	0.288841i	−0.00572401	+	0.999984i	$0.501822\pi$
$314$	−3.39161	+	0.267282i	−0.191400	+	0.0150836i
$315$	−4.87465	+	6.08927i	−0.274655	+	0.343092i
$316$	10.1855	−	6.24461i	0.572979	−	0.351287i
$317$	14.5474	−	2.89365i	0.817062	−	0.162524i	0.231171	−	0.972913i	$-0.425744\pi$
$317$	14.5474	−	2.89365i	0.817062	−	0.162524i	0.585892	+	0.810390i	$0.300744\pi$
$318$	0.270874	+	7.59786i	0.0151899	+	0.426067i
$319$		−	1.53386i		−	0.0858799i
$320$	−1.21330	+	10.3064i	−0.0678254	+	0.576145i
$321$	0.636134	+	4.11591i	0.0355055	+	0.229728i
$322$	25.1532	+	2.97441i	1.40173	+	0.165757i
$323$	−1.83482	−	9.22426i	−0.102092	−	0.513252i
$324$	7.13272	−	16.5265i	0.396262	−	0.918137i
$325$	9.18142	−	6.13483i	0.509293	−	0.340299i
$326$	−1.35643	−	17.2120i	−0.0751254	−	0.953287i
$327$	4.95438	−	20.3018i	0.273978	−	1.12269i
$328$	−1.85384	+	0.0734192i	−0.102361	+	0.00405389i
$329$	3.87241	+	9.34883i	0.213493	+	0.515417i
$330$	1.83409	+	2.54379i	0.100963	+	0.140031i
$331$	−5.98155	+	30.0713i	−0.328776	+	1.65287i	0.363766	+	0.931490i	$0.381491\pi$
$331$	−5.98155	+	30.0713i	−0.328776	+	1.65287i	−0.692542	+	0.721378i	$0.743509\pi$
$332$	−22.8277	+	21.1105i	−1.25283	+	1.15859i
$333$	−18.3571	−	5.32572i	−1.00596	−	0.291847i
$334$	−10.1918	+	18.2032i	−0.557670	+	0.996036i
$335$	11.4640	+	11.4640i	0.626346	+	0.626346i
$336$	6.82544	−	12.0933i	0.372358	−	0.659746i
$337$	7.63954	−	7.63954i	0.416152	−	0.416152i	−0.467723	−	0.883875i	$-0.654925\pi$
$337$	7.63954	−	7.63954i	0.416152	−	0.416152i	0.883875	+	0.467723i	$0.154925\pi$
$338$	−0.737092	−	2.61249i	−0.0400925	−	0.142101i
$339$	14.6527	−	31.4742i	0.795826	−	1.70944i
$340$	6.45168	−	14.0025i	0.349892	−	0.759390i
$341$	−1.79778	−	0.357601i	−0.0973554	−	0.0193652i
$342$	6.71444	+	0.0494970i	0.363075	+	0.00267649i
$343$	−18.4855	+	7.65695i	−0.998124	+	0.413437i
$344$	−19.1627	−	11.7346i	−1.03318	−	0.632689i
$345$	−4.75969	+	19.5041i	−0.256253	+	1.05006i
$346$	−9.22696	−	7.87890i	−0.496044	−	0.423572i
$347$	2.16682	+	3.24287i	0.116321	+	0.174086i	0.885061	−	0.465474i	$-0.154116\pi$
$347$	2.16682	+	3.24287i	0.116321	+	0.174086i	−0.768741	+	0.639561i	$0.779116\pi$
$348$	−1.64556	−	5.12600i	−0.0882112	−	0.274782i
$349$	13.8459	−	2.75411i	0.741151	−	0.147424i	0.189947	−	0.981794i	$-0.439168\pi$
$349$	13.8459	−	2.75411i	0.741151	−	0.147424i	0.551204	+	0.834370i	$0.314168\pi$
$350$	5.82216	+	7.38379i	0.311207	+	0.394680i
$351$	−15.4986	+	7.67922i	−0.827251	+	0.409886i
$352$	−3.94991	−	3.94579i	−0.210531	−	0.210311i
$353$	32.7904			1.74526			0.872628	−	0.488386i	$-0.162414\pi$
$353$	32.7904			1.74526			0.872628	+	0.488386i	$0.162414\pi$
$354$	12.0669	−	12.9591i	0.641347	−	0.688767i
$355$	2.80227	+	14.0880i	0.148729	+	0.747712i
$356$	−18.3001	−	13.2900i	−0.969904	−	0.704367i
$357$	−15.2015	+	13.9472i	−0.804551	+	0.738161i
$358$	7.43120	+	6.34550i	0.392751	+	0.335370i
$359$	−13.8677	+	33.4796i	−0.731909	+	1.76698i	−0.0957787	+	0.995403i	$0.530534\pi$
$359$	−13.8677	+	33.4796i	−0.731909	+	1.76698i	−0.636130	+	0.771582i	$0.719466\pi$
$360$	8.85834	+	6.53342i	0.466876	+	0.344341i
$361$	−6.31245	−	15.2396i	−0.332234	−	0.802084i
$362$	−27.9844	−	9.08945i	−1.47083	−	0.477731i
$363$	17.3493	+	0.746618i	0.910603	+	0.0391873i
$364$	−12.5182	+	4.62118i	−0.656132	+	0.242215i
$365$	−9.60082	−	6.41506i	−0.502530	−	0.335780i
$366$	−12.0698	−	26.4336i	−0.630897	−	1.38170i
$367$	−17.6364	−	17.6364i	−0.920615	−	0.920615i	0.0764579	−	0.997073i	$-0.475639\pi$
$367$	−17.6364	−	17.6364i	−0.920615	−	0.920615i	−0.997073	+	0.0764579i	$0.975639\pi$
$368$	2.78942	−	35.6331i	0.145408	−	1.85750i
$369$	−0.906463	+	1.74663i	−0.0471886	+	0.0909259i
$370$	5.71010	−	10.1986i	0.296854	−	0.530201i
$371$	5.17262	+	3.45624i	0.268549	+	0.179439i
$372$	−6.39162	+	0.733635i	−0.331390	+	0.0380372i
$373$	20.0315	+	3.98452i	1.03719	+	0.206311i	0.684184	−	0.729309i	$-0.260158\pi$
$373$	20.0315	+	3.98452i	1.03719	+	0.206311i	0.353009	+	0.935620i	$0.385158\pi$
$374$	3.76638	+	7.39002i	0.194755	+	0.382129i
$375$	−15.9700	+	9.70449i	−0.824686	+	0.501138i
$376$	12.9660	−	5.98232i	0.668670	−	0.308515i
$377$	−1.97973	+	4.77950i	−0.101962	+	0.246157i
$378$	−7.55583	−	12.6432i	−0.388630	−	0.650294i
$379$	−18.3728	−	27.4969i	−0.943749	−	1.41242i	−0.910747	−	0.412965i	$-0.864493\pi$
$379$	−18.3728	−	27.4969i	−0.943749	−	1.41242i	−0.0330024	−	0.999455i	$-0.510507\pi$
$380$	−0.957697	+	3.99277i	−0.0491288	+	0.204825i
$381$	0.0922014	+	0.252829i	0.00472362	+	0.0129528i
$382$	21.7148	+	2.56781i	1.11102	+	0.131381i
$383$	12.1943			0.623098			0.311549	−	0.950230i	$-0.399152\pi$
$383$	12.1943			0.623098			0.311549	+	0.950230i	$0.399152\pi$
$384$	−17.4333	−	8.94883i	−0.889637	−	0.456668i
$385$	2.56613			0.130782
$386$	−6.24341	−	0.738296i	−0.317781	−	0.0375783i
$387$	−20.8809	+	11.4896i	−1.06143	+	0.584051i
$388$	−1.87732	+	7.82681i	−0.0953066	+	0.397346i
$389$	0.354585	+	0.530674i	0.0179782	+	0.0269062i	0.840350	−	0.542044i	$-0.182350\pi$
$389$	0.354585	+	0.530674i	0.0179782	+	0.0269062i	−0.822372	+	0.568951i	$0.807350\pi$
$390$	−2.43177	−	10.2937i	−0.123137	−	0.521240i
$391$	−20.3204	+	49.0578i	−1.02765	+	2.48096i
$392$	3.53424	+	7.66004i	0.178506	+	0.386890i
$393$	15.6571	+	25.7658i	0.789796	+	1.29971i
$394$	1.53370	+	3.00928i	0.0772668	+	0.151606i
$395$	7.60015	+	1.51176i	0.382405	+	0.0760651i
$396$	−5.71097	+	1.56595i	−0.286987	+	0.0786918i
$397$	12.2404	+	8.17878i	0.614328	+	0.410481i	0.823434	−	0.567412i	$-0.192055\pi$
$397$	12.2404	+	8.17878i	0.614328	+	0.410481i	−0.209106	+	0.977893i	$0.567055\pi$
$398$	14.3356	−	25.6044i	0.718580	−	1.28343i
$399$	3.24611	−	4.43294i	0.162509	−	0.221925i
$400$	10.0863	−	8.62182i	0.504316	−	0.431091i
$401$	17.4419	+	17.4419i	0.871007	+	0.871007i	0.992582	−	0.121575i	$-0.0387945\pi$
$401$	17.4419	+	17.4419i	0.871007	+	0.871007i	−0.121575	+	0.992582i	$0.538795\pi$
$402$	−27.8484	+	12.7158i	−1.38895	+	0.634206i
$403$	5.14032	+	3.43465i	0.256058	+	0.171092i
$404$	31.3879	−	11.5871i	1.56161	−	0.576478i
$405$	10.6743	−	4.72869i	0.530408	−	0.234970i
$406$	−4.18982	−	1.36087i	−0.207937	−	0.0675389i
$407$	2.40642	+	5.80962i	0.119282	+	0.287972i
$408$	20.5150	+	20.6560i	1.01564	+	1.02262i
$409$	10.9078	−	26.3338i	0.539357	−	1.30212i	−0.385816	−	0.922576i	$-0.626080\pi$
$409$	10.9078	−	26.3338i	0.539357	−	1.30212i	0.925173	−	0.379546i	$-0.123920\pi$
$410$	−0.915110	−	0.781413i	−0.0451941	−	0.0385912i
$411$	−16.0408	−	17.4835i	−0.791233	−	0.862396i
$412$	−6.25452	−	4.54218i	−0.308138	−	0.223777i
$413$	−2.82673	−	14.2109i	−0.139094	−	0.699274i
$414$	−31.3651	−	21.2936i	−1.54151	−	1.04652i
$415$	−20.1667			−0.989944
$416$	7.21510	+	17.3931i	0.353750	+	0.852768i
$417$	0.249850	+	1.61658i	0.0122352	+	0.0791642i
$418$	−1.36777	−	1.73464i	−0.0669001	−	0.0848441i
$419$	−4.25857	+	0.847083i	−0.208045	+	0.0413827i	−0.298012	−	0.954562i	$-0.596324\pi$
$419$	−4.25857	+	0.847083i	−0.208045	+	0.0413827i	0.0899675	+	0.995945i	$0.471324\pi$
$420$	8.57572	−	2.75300i	0.418452	−	0.134333i
$421$	−11.3949	−	17.0536i	−0.555352	−	0.831143i	0.442492	−	0.896772i	$-0.354094\pi$
$421$	−11.3949	−	17.0536i	−0.555352	−	0.831143i	−0.997844	+	0.0656295i	$0.979094\pi$
$422$	2.95770	+	2.52558i	0.143978	+	0.122943i
$423$	1.30117	−	15.0897i	0.0632649	−	0.733688i
$424$	4.58458	−	7.48662i	0.222647	−	0.363582i
$425$	−18.2125	+	7.54387i	−0.883437	+	0.365932i
$426$	−26.7739	−	4.34035i	−1.29720	−	0.210291i
$427$	−23.3211	−	4.63885i	−1.12859	−	0.224490i
$428$	2.01245	−	4.36774i	0.0972755	−	0.211123i
$429$	5.15875	+	2.40164i	0.249067	+	0.115952i
$430$	−3.95747	−	14.0265i	−0.190846	−	0.676419i
$431$	2.55834	−	2.55834i	0.123231	−	0.123231i	−0.642802	−	0.766033i	$-0.722228\pi$
$431$	2.55834	−	2.55834i	0.123231	−	0.123231i	0.766033	+	0.642802i	$0.222228\pi$
$432$	−17.4054	+	11.3601i	−0.837419	+	0.546561i
$433$	−19.0584	−	19.0584i	−0.915888	−	0.915888i	0.0808391	−	0.996727i	$-0.474240\pi$
$433$	−19.0584	−	19.0584i	−0.915888	−	0.915888i	−0.996727	+	0.0808391i	$0.974240\pi$
$434$	−2.57183	+	4.59345i	−0.123452	+	0.220493i
$435$	1.47373	−	3.16559i	0.0706600	−	0.151779i
$436$	−17.7162	+	16.3835i	−0.848450	+	0.784627i
$437$	2.75893	−	13.8701i	0.131978	−	0.663496i
$438$	17.6861	−	12.7518i	0.845074	−	0.609303i
$439$	7.14528	+	17.2502i	0.341026	+	0.823309i	0.997613	+	0.0690583i	$0.0219994\pi$
$439$	7.14528	+	17.2502i	0.341026	+	0.823309i	−0.656587	+	0.754250i	$0.728001\pi$
$440$	−0.143300	−	3.61835i	−0.00683158	−	0.172498i
$441$	8.91471	+	0.768702i	0.424510	+	0.0366049i
$442$	−2.19780	−	27.8884i	−0.104539	−	1.32652i
$443$	−23.6417	+	15.7969i	−1.12325	+	0.750533i	−0.971301	−	0.237855i	$-0.923556\pi$
$443$	−23.6417	+	15.7969i	−1.12325	+	0.750533i	−0.151951	+	0.988388i	$0.548556\pi$
$444$	14.2747	+	16.8334i	0.677445	+	0.798879i
$445$	−2.86182	−	14.3873i	−0.135663	−	0.682024i
$446$	20.2375	+	2.39313i	0.958275	+	0.113318i
$447$	22.5736	−	3.48886i	1.06770	−	0.165018i
$448$	−14.2825	+	7.28858i	−0.674786	+	0.344353i
$449$		−	29.0905i		−	1.37286i	−0.727194	−	0.686432i	$-0.759176\pi$
$449$		−	29.0905i		−	1.37286i	0.727194	−	0.686432i	$-0.240824\pi$
$450$	−2.64388	−	13.8235i	−0.124634	−	0.651644i
$451$	0.634955	−	0.126300i	0.0298989	−	0.00594725i
$452$	−34.1769	+	20.9534i	−1.60754	+	0.985566i
$453$	−4.87393	+	4.47174i	−0.228997	+	0.210101i
$454$	6.97888	−	0.549983i	0.327535	−	0.0258120i
$455$	−7.99604	−	3.31207i	−0.374860	−	0.155272i
$456$	−6.43190	−	4.32960i	−0.301201	−	0.202752i
$457$	28.0374	−	11.6135i	1.31153	−	0.543255i	0.386202	−	0.922414i	$-0.373787\pi$
$457$	28.0374	−	11.6135i	1.31153	−	0.543255i	0.925331	+	0.379160i	$0.123787\pi$
$458$	3.03401	+	5.95303i	0.141770	+	0.278167i
$459$	29.8112	−	8.04785i	1.39147	−	0.375642i
$460$	17.0200	−	15.7397i	0.793561	−	0.733868i
$461$	−7.06025	+	10.5664i	−0.328829	+	0.492127i	−0.958640	−	0.284621i	$-0.908132\pi$
$461$	−7.06025	+	10.5664i	−0.328829	+	0.492127i	0.629811	+	0.776748i	$0.283132\pi$
$462$	−1.69366	+	4.53999i	−0.0787961	+	0.211219i
$463$	1.39596	−	1.39596i	0.0648758	−	0.0648758i	−0.673924	−	0.738800i	$-0.735393\pi$
$463$	1.39596	−	1.39596i	0.0648758	−	0.0648758i	0.738800	+	0.673924i	$0.235393\pi$
$464$	−1.68491	+	5.98381i	−0.0782201	+	0.277791i
$465$	−3.36669	−	2.46532i	−0.156126	−	0.114327i
$466$	−6.22982	+	1.75769i	−0.288591	+	0.0814236i
$467$	3.17450	−	4.75097i	0.146898	−	0.219849i	−0.750722	−	0.660618i	$-0.770294\pi$
$467$	3.17450	−	4.75097i	0.146898	−	0.219849i	0.897620	+	0.440769i	$0.145294\pi$
$468$	19.8165	+	2.49159i	0.916017	+	0.115174i
$469$	−4.88714	+	24.5693i	−0.225667	+	1.13450i
$470$	8.80868	+	2.86110i	0.406314	+	0.131973i
$471$	3.56084	−	2.16382i	0.164075	−	0.0997036i
$472$	−19.8801	+	4.77938i	−0.915057	+	0.219989i
$473$	7.24399	+	3.00056i	0.333079	+	0.137966i
$474$	−7.69073	+	12.4484i	−0.353247	+	0.571773i
$475$	4.36530	−	2.91680i	0.200293	−	0.133832i
$476$	23.5278	−	3.73147i	1.07839	−	0.171032i
$477$	−4.48886	−	8.15791i	−0.205531	−	0.373525i
$478$	−23.1149	+	18.2263i	−1.05725	+	0.833650i
$479$		−	4.95212i		−	0.226268i	−0.993580	−	0.113134i	$-0.963911\pi$
$479$		−	4.95212i		−	0.226268i	0.993580	−	0.113134i	$-0.0360889\pi$
$480$	−4.36073	−	11.9384i	−0.199039	−	0.544910i
$481$		−	21.2086i		−	0.967031i
$482$	12.6207	+	16.0058i	0.574857	+	0.729046i
$483$	−29.1434	+	10.6280i	−1.32607	+	0.483590i
$484$	−16.2247	−	11.7828i	−0.737487	−	0.535581i
$485$	−4.34064	+	2.90032i	−0.197098	+	0.131697i
$486$	1.32092	+	22.0058i	0.0599183	+	0.998203i
$487$	30.9423	+	12.8167i	1.40213	+	0.580781i	0.950303	−	0.311325i	$-0.100773\pi$
$487$	30.9423	+	12.8167i	1.40213	+	0.580781i	0.451826	+	0.892106i	$0.350773\pi$
$488$	−5.23865	+	33.1427i	−0.237143	+	1.50030i
$489$	10.9811	+	18.0709i	0.496584	+	0.817193i
$490$	−1.69028	+	5.20399i	−0.0763590	+	0.235092i
$491$	4.34757	−	21.8567i	0.196203	−	0.986380i	−0.749662	−	0.661821i	$-0.769784\pi$
$491$	4.34757	−	21.8567i	0.196203	−	0.986380i	0.945865	−	0.324559i	$-0.105216\pi$
$492$	1.98645	−	1.10327i	0.0895560	−	0.0497394i
$493$	5.13095	−	7.67901i	0.231086	−	0.345845i
$494$	2.02310	+	7.17049i	0.0910234	+	0.322616i
$495$	−3.40909	−	1.76925i	−0.153227	−	0.0795217i
$496$	6.62058	+	3.36987i	0.297273	+	0.151312i
$497$	−15.6937	+	15.6937i	−0.703961	+	0.703961i
$498$	13.3101	−	35.6788i	0.596440	−	1.59881i
$499$	−8.51962	+	12.7505i	−0.381390	+	0.570791i	−0.971650	−	0.236422i	$-0.924025\pi$
$499$	−8.51962	+	12.7505i	−0.381390	+	0.570791i	0.590260	+	0.807213i	$0.299025\pi$
$500$	21.5618	+	0.842659i	0.964275	+	0.0376848i
$501$	1.09855	−	25.5272i	0.0490796	−	1.14047i
$502$	−14.4926	+	7.38623i	−0.646834	+	0.329664i
$503$	2.92455	−	1.21139i	0.130399	−	0.0540131i	−0.316530	−	0.948583i	$-0.602518\pi$
$503$	2.92455	−	1.21139i	0.130399	−	0.0540131i	0.446929	+	0.894569i	$0.352518\pi$
$504$	−0.789418	+	16.9891i	−0.0351635	+	0.756755i
$505$	20.0491	+	8.30463i	0.892175	+	0.369551i
$506$	0.979839	+	12.4334i	0.0435592	+	0.552734i
$507$	2.24756	+	2.44971i	0.0998178	+	0.108795i
$508$	0.0724798	−	0.302178i	0.00321577	−	0.0134070i
$509$	21.4086	−	4.25843i	0.948919	−	0.188752i	0.303716	−	0.952763i	$-0.401773\pi$
$509$	21.4086	−	4.25843i	0.948919	−	0.188752i	0.645203	+	0.764011i	$0.276773\pi$
$510$	0.672752	+	18.8703i	0.0297899	+	0.835590i
$511$		−	17.8414i		−	0.789257i
$512$	11.0748	+	19.7319i	0.489441	+	0.872037i
$513$	−7.36877	+	3.65108i	−0.325339	+	0.161199i
$514$	0.457656	−	3.87018i	0.0201864	−	0.170706i
$515$	−0.978097	−	4.91723i	−0.0431001	−	0.216679i
$516$	27.4276	+	2.25603i	1.20743	+	0.0993160i
$517$	−4.14301	+	2.76827i	−0.182209	+	0.121748i
$518$	18.0043	−	1.41886i	0.791062	−	0.0623410i
$519$	14.4364	+	3.52299i	0.633687	+	0.154642i
$520$	−4.22363	+	11.4597i	−0.185219	+	0.502541i
$521$	−10.3999	−	25.1077i	−0.455630	−	1.09999i	−0.970149	−	0.242509i	$-0.922030\pi$
$521$	−10.3999	−	25.1077i	−0.455630	−	1.09999i	0.514519	−	0.857479i	$-0.327970\pi$
$522$	4.62788	+	4.69662i	0.202557	+	0.205565i
$523$	5.49571	−	27.6288i	0.240310	−	1.20812i	−0.652535	−	0.757759i	$-0.726294\pi$
$523$	5.49571	−	27.6288i	0.240310	−	1.20812i	0.892845	−	0.450363i	$-0.148706\pi$
$524$	1.35954	−	34.7876i	0.0593916	−	1.51970i
$525$	−10.4404	−	4.86050i	−0.455657	−	0.212130i
$526$	5.96324	+	3.33875i	0.260009	+	0.145577i
$527$	−7.80405	−	7.80405i	−0.339950	−	0.339950i
$528$	6.49615	+	2.13460i	0.282709	+	0.0928966i
$529$	−40.1946	+	40.1946i	−1.74759	+	1.74759i
$530$	5.48000	−	1.54614i	0.238036	−	0.0671599i
$531$	−6.04257	+	20.8280i	−0.262225	+	0.903860i
$532$	−5.95176	+	2.19713i	−0.258042	+	0.0952578i
$533$	−2.14153	−	0.425976i	−0.0927598	−	0.0184511i
$534$	27.3428	+	4.43258i	1.18324	+	0.191816i
$535$	2.88172	−	1.19365i	0.124588	−	0.0516059i
$536$	34.9166	+	5.51905i	1.50817	+	0.238386i
$537$	−11.6268	−	2.83735i	−0.501732	−	0.122441i
$538$	−23.0550	+	26.9996i	−0.993971	+	1.16404i
$539$	−1.63544	−	2.44760i	−0.0704433	−	0.105426i
$540$	−13.2909	−	2.25527i	−0.571948	−	0.0970516i
$541$	26.1330	−	5.19818i	1.12355	−	0.223487i	0.401856	−	0.915703i	$-0.368365\pi$
$541$	26.1330	−	5.19818i	1.12355	−	0.223487i	0.721691	+	0.692216i	$0.243365\pi$
$542$	−3.93807	+	3.10519i	−0.169154	+	0.133379i
$543$	35.6135	−	5.50424i	1.52832	−	0.236209i
$544$	−6.57539	−	32.9668i	−0.281917	−	1.41344i
$545$	−15.6510			−0.670415
$546$	11.1371	−	11.9606i	0.476625	−	0.511866i
$547$	−0.671852	−	3.37763i	−0.0287263	−	0.144417i	0.963760	−	0.266769i	$-0.0859562\pi$
$547$	−0.671852	−	3.37763i	−0.0287263	−	0.144417i	−0.992487	+	0.122352i	$0.960956\pi$
$548$	4.29160	+	27.0595i	0.183328	+	1.15593i
$549$	27.7836	+	22.2416i	1.18578	+	0.949250i
$550$	−3.00669	+	3.52113i	−0.128206	+	0.150141i
$551$	−0.941263	+	2.27241i	−0.0400991	+	0.0968079i
$552$	16.6134	+	40.4999i	0.707111	+	1.72379i
$553$	4.58200	+	11.0619i	0.194846	+	0.470401i
$554$	4.49166	−	13.8288i	0.190832	−	0.587530i
$555$	−0.615478	+	14.3020i	−0.0261256	+	0.607086i
$556$	0.790417	−	1.71549i	0.0335212	−	0.0727530i
$557$	−7.56429	−	5.05430i	−0.320509	−	0.214157i	0.384899	−	0.922959i	$-0.374236\pi$
$557$	−7.56429	−	5.05430i	−0.320509	−	0.214157i	−0.705408	+	0.708801i	$0.749236\pi$
$558$	6.58366	−	4.32920i	0.278709	−	0.183270i
$559$	−18.6994	−	18.6994i	−0.790901	−	0.790901i
$560$	−10.0108	−	2.81884i	−0.423035	−	0.119118i
$561$	−8.19610	−	6.00175i	−0.346040	−	0.253394i
$562$	31.3991	+	17.5801i	1.32449	+	0.741570i
$563$	−23.8770	−	15.9541i	−1.00630	−	0.672386i	−0.0608444	−	0.998147i	$-0.519379\pi$
$563$	−23.8770	−	15.9541i	−1.00630	−	0.672386i	−0.945452	+	0.325762i	$0.894379\pi$
$564$	−10.8756	+	13.6959i	−0.457945	+	0.576703i
$565$	−25.5018	−	5.07263i	−1.07287	−	0.213407i
$566$	−21.2266	+	10.8183i	−0.892222	+	0.454727i
$567$	15.2382	+	9.65433i	0.639946	+	0.405444i
$568$	23.0052	+	21.2524i	0.965277	+	0.891733i
$569$	0.967449	−	2.33563i	0.0405576	−	0.0979147i	−0.902303	−	0.431103i	$-0.858125\pi$
$569$	0.967449	−	2.33563i	0.0405576	−	0.0979147i	0.942860	+	0.333188i	$0.108125\pi$
$570$	−1.15618	−	4.89411i	−0.0484271	−	0.204992i
$571$	13.9993	+	20.9514i	0.585850	+	0.876787i	0.999433	−	0.0336797i	$-0.0107226\pi$
$571$	13.9993	+	20.9514i	0.585850	+	0.876787i	−0.413582	+	0.910467i	$0.635723\pi$
$572$	−3.43435	−	5.60173i	−0.143597	−	0.234220i
$573$	−25.1596	+	9.17515i	−1.05106	+	0.383297i
$574$	0.218348	−	1.84646i	0.00911367	−	0.0770699i
$575$	−29.6417			−1.23614
$576$	23.9994	+	0.164391i	0.999977	+	0.00684962i
$577$	−23.0087			−0.957866			−0.478933	−	0.877852i	$-0.658976\pi$
$577$	−23.0087			−0.957866			−0.478933	+	0.877852i	$0.658976\pi$
$578$	−3.04150	+	25.7205i	−0.126510	+	1.06983i
$579$	7.23386	−	2.63803i	0.300629	−	0.109633i
$580$	−3.43742	+	2.10744i	−0.142731	+	0.0875067i
$581$	−17.3117	−	25.9088i	−0.718212	−	1.07488i
$582$	−2.26640	−	9.59367i	−0.0939452	−	0.397670i
$583$	−1.17228	+	2.83014i	−0.0485509	+	0.117212i
$584$	−25.1571	+	0.996316i	−1.04101	+	0.0412279i
$585$	8.33916	+	9.91302i	0.344782	+	0.409853i
$586$	−5.47249	+	2.78909i	−0.226066	+	0.115216i
$587$	−0.289296	−	0.0575446i	−0.0119405	−	0.00237512i	0.189116	−	0.981955i	$-0.439438\pi$
$587$	−0.289296	−	0.0575446i	−0.0119405	−	0.00237512i	−0.201057	+	0.979580i	$0.564438\pi$
$588$	−8.09128	−	6.42508i	−0.333679	−	0.264966i
$589$	2.44396	+	1.63300i	0.100702	+	0.0672867i
$590$	−11.5714	−	6.47870i	−0.476386	−	0.266724i
$591$	−3.33753	−	2.44397i	−0.137287	−	0.100531i
$592$	−3.00606	−	25.3075i	−0.123548	−	1.04013i
$593$	−19.2525	−	19.2525i	−0.790607	−	0.790607i	0.190986	−	0.981593i	$-0.438832\pi$
$593$	−19.2525	−	19.2525i	−0.790607	−	0.790607i	−0.981593	+	0.190986i	$0.938832\pi$
$594$	5.38016	−	4.86364i	0.220750	−	0.199558i
$595$	12.8469	+	8.58401i	0.526671	+	0.351910i
$596$	−23.9548	−	11.0373i	−0.981227	−	0.452104i
$597$	−1.54520	+	35.9062i	−0.0632409	+	1.46954i
$598$	12.9945	−	40.0071i	0.531384	−	1.63601i
$599$	−3.30506	−	7.97913i	−0.135041	−	0.326018i	0.841865	−	0.539689i	$-0.181458\pi$
$599$	−3.30506	−	7.97913i	−0.135041	−	0.326018i	−0.976906	+	0.213670i	$0.931458\pi$
$600$	−6.27048	+	14.9928i	−0.255991	+	0.612080i
$601$	8.94164	−	21.5870i	0.364737	−	0.880553i	−0.629857	−	0.776711i	$-0.716886\pi$
$601$	8.94164	−	21.5870i	0.364737	−	0.880553i	0.994594	−	0.103842i	$-0.0331136\pi$
$602$	14.6231	−	17.1251i	0.595995	−	0.697968i
$603$	23.4321	−	29.2707i	0.954228	−	1.19199i
$604$	7.54349	−	1.19639i	0.306940	−	0.0486802i
$605$	−2.53726	−	12.7557i	−0.103154	−	0.518592i
$606$	−27.9250	+	29.9898i	−1.13438	+	1.21825i
$607$	−16.1373			−0.654991			−0.327496	−	0.944853i	$-0.606205\pi$
$607$	−16.1373			−0.654991			−0.327496	+	0.944853i	$0.606205\pi$
$608$	3.43041	+	8.26954i	0.139122	+	0.335374i
$609$	5.33204	−	0.824093i	0.216065	−	0.0333940i
$610$	−17.0896	+	13.4752i	−0.691938	+	0.545597i
$611$	16.4825	−	3.27858i	0.666812	−	0.132637i
$612$	−33.8292	−	11.2642i	−1.36747	−	0.455329i
$613$	−7.46059	−	11.1656i	−0.301330	−	0.450973i	0.649646	−	0.760237i	$-0.274917\pi$
$613$	−7.46059	−	11.1656i	−0.301330	−	0.450973i	−0.950976	+	0.309264i	$0.899917\pi$
$614$	−3.17809	+	3.72186i	−0.128257	+	0.150202i
$615$	1.43177	+	0.349403i	0.0577346	+	0.0140893i
$616$	4.52561	−	3.29021i	0.182342	−	0.132566i
$617$	−11.9765	+	4.96085i	−0.482157	+	0.199716i	−0.610504	−	0.792013i	$-0.709033\pi$
$617$	−11.9765	+	4.96085i	−0.482157	+	0.199716i	0.128346	+	0.991729i	$0.459033\pi$
$618$	9.34508	+	1.51494i	0.375914	+	0.0609400i
$619$	−0.0735165	−	0.0146233i	−0.00295488	−	0.000587762i	0.193613	−	0.981078i	$-0.437979\pi$
$619$	−0.0735165	−	0.0146233i	−0.00295488	−	0.000587762i	−0.196568	+	0.980490i	$0.562979\pi$
$620$	1.66866	+	4.52019i	0.0670149	+	0.181535i
$621$	46.0444	+	5.97401i	1.84770	+	0.239729i
$622$	25.8483	−	7.29290i	1.03642	−	0.292419i
$623$	16.0272	−	16.0272i	0.642117	−	0.642117i
$624$	−17.4868	−	15.0359i	−0.700034	−	0.601917i
$625$	−1.83194	−	1.83194i	−0.0732776	−	0.0732776i
$626$	16.4776	+	9.22566i	0.658579	+	0.368732i
$627$	2.45272	+	1.14186i	0.0979523	+	0.0456014i
$628$	−4.80767	−	0.187889i	−0.191847	−	0.00749757i
$629$	−7.38652	+	37.1346i	−0.294520	+	1.48065i
$630$	−7.85738	+	7.74238i	−0.313046	+	0.308464i
$631$	8.89318	+	21.4700i	0.354032	+	0.854708i	0.996114	+	0.0880725i	$0.0280707\pi$
$631$	8.89318	+	21.4700i	0.354032	+	0.854708i	−0.642082	+	0.766636i	$0.721929\pi$
$632$	15.3419	−	7.07853i	0.610268	−	0.281569i
$633$	−4.62758	−	1.12929i	−0.183930	−	0.0448854i
$634$	20.9113	−	1.64795i	0.830494	−	0.0654485i
$635$	0.167584	−	0.111976i	0.00665036	−	0.00444363i
$636$	−0.881402	+	10.7156i	−0.0349499	+	0.424903i
$637$	1.93692	+	9.73754i	0.0767435	+	0.385816i
$638$	0.254739	−	2.15420i	0.0100852	−	0.0852857i
$639$	31.6693	−	10.0288i	1.25282	−	0.396735i
$640$	−3.41564	+	14.2731i	−0.135015	+	0.564194i
$641$		−	9.61269i		−	0.379678i	−0.981815	−	0.189839i	$-0.939203\pi$
$641$		−	9.61269i		−	0.379678i	0.981815	−	0.189839i	$-0.0607967\pi$
$642$	0.209849	+	5.88614i	0.00828209	+	0.232308i
$643$	−25.0712	+	4.98697i	−0.988710	+	0.196667i	−0.662851	−	0.748751i	$-0.730654\pi$
$643$	−25.0712	+	4.98697i	−0.988710	+	0.196667i	−0.325860	+	0.945418i	$0.605654\pi$
$644$	34.8318	+	8.35469i	1.37257	+	0.329221i
$645$	12.0672	+	13.1526i	0.475147	+	0.517881i
$646$	−1.04494	−	13.2595i	−0.0411126	−	0.521689i
$647$	−37.7603	−	15.6408i	−1.48451	−	0.614905i	−0.514398	−	0.857552i	$-0.671984\pi$
$647$	−37.7603	−	15.6408i	−1.48451	−	0.614905i	−0.970115	+	0.242647i	$0.921984\pi$
$648$	12.7621	−	22.0257i	0.501341	−	0.865250i
$649$	6.59161	−	2.73033i	0.258743	−	0.107175i
$650$	13.9135	−	7.09111i	0.545732	−	0.278136i
$651$	0.277211	−	6.44161i	0.0108648	−	0.252467i
$652$	0.953512	−	24.3983i	0.0373424	−	0.955513i
$653$	−16.1634	+	24.1903i	−0.632523	+	0.946638i	0.367340	+	0.930087i	$0.380269\pi$
$653$	−16.1634	+	24.1903i	−0.632523	+	0.946638i	−0.999863	+	0.0165511i	$0.994731\pi$
$654$	10.3297	−	27.6897i	0.403924	−	1.08275i
$655$	15.9668	−	15.9668i	0.623873	−	0.623873i
$656$	−2.61578	−	0.204768i	−0.102129	−	0.00799483i
$657$	−12.3009	+	23.7022i	−0.479905	+	0.924711i
$658$	3.88590	+	13.7729i	0.151488	+	0.536922i
$659$	−0.185192	+	0.277160i	−0.00721407	+	0.0107966i	−0.835059	−	0.550160i	$-0.814567\pi$
$659$	−0.185192	+	0.277160i	−0.00721407	+	0.0107966i	0.827845	+	0.560957i	$0.189567\pi$
$660$	2.15338	+	3.87717i	0.0838203	+	0.150919i
$661$	6.23540	−	31.3475i	0.242529	−	1.21928i	−0.647033	−	0.762462i	$-0.723991\pi$
$661$	6.23540	−	31.3475i	0.242529	−	1.21928i	0.889562	−	0.456814i	$-0.151009\pi$
$662$	−13.3948	+	41.2396i	−0.520603	+	1.60282i
$663$	17.7926	+	29.2800i	0.691007	+	1.13714i
$664$	−35.5658	+	25.8571i	−1.38022	+	1.00345i
$665$	−3.80171	−	1.57472i	−0.147424	−	0.0610650i
$666$	−24.8968	−	10.5283i	−0.964731	−	0.407962i
$667$	11.5466	−	7.71517i	0.447085	−	0.298733i
$668$	−17.3368	+	23.8725i	−0.670780	+	0.923655i
$669$	−23.4480	+	8.55097i	−0.906551	+	0.330600i
$670$	14.1965	+	18.0043i	0.548458	+	0.695567i
$671$		−	11.7085i		−	0.452003i
$672$	11.5943	−	15.8507i	0.447258	−	0.611453i
$673$			21.8536i			0.842395i	0.906969	+	0.421197i	$0.138390\pi$
$673$			21.8536i			0.842395i	−0.906969	+	0.421197i	$0.861610\pi$
$674$	11.9979	−	9.46044i	0.462143	−	0.364402i
$675$	10.5189	+	13.6554i	0.404873	+	0.525597i
$676$	−0.601321	−	3.79147i	−0.0231277	−	0.145826i
$677$	29.3203	−	19.5912i	1.12687	−	0.752951i	0.154871	−	0.987935i	$-0.450504\pi$
$677$	29.3203	−	19.5912i	1.12687	−	0.752951i	0.971999	+	0.234984i	$0.0755038\pi$
$678$	25.8058	−	41.7698i	0.991066	−	1.60416i
$679$	−7.45229	−	3.08684i	−0.285993	−	0.118462i
$680$	11.3864	−	18.5940i	0.436649	−	0.713047i
$681$	−7.32710	+	4.45247i	−0.280775	+	0.170619i
$682$	−2.46547	−	0.800794i	−0.0944076	−	0.0306640i
$683$	−1.35779	+	6.82609i	−0.0519545	+	0.261193i	−0.998029	−	0.0627565i	$-0.980011\pi$
$683$	−1.35779	+	6.82609i	−0.0519545	+	0.261193i	0.946074	+	0.323950i	$0.105011\pi$
$684$	9.42172	+	1.18462i	0.360249	+	0.0452952i
$685$	−9.87256	+	14.7753i	−0.377211	+	0.564536i
$686$	−27.2332	+	7.68363i	−1.03977	+	0.293362i
$687$	−6.60237	−	4.83471i	−0.251896	−	0.184456i
$688$	−24.9637	−	19.6629i	−0.951733	−	0.749642i
$689$	7.30563	−	7.30563i	0.278322	−	0.278322i
$690$	−9.92381	+	26.6016i	−0.377793	+	1.01271i
$691$	3.67684	−	5.50279i	0.139874	−	0.209336i	−0.754918	−	0.655819i	$-0.772324\pi$
$691$	3.67684	−	5.50279i	0.139874	−	0.209336i	0.894792	+	0.446483i	$0.147324\pi$
$692$	−11.6501	−	12.5977i	−0.442870	−	0.478894i
$693$	−0.653464	−	5.89856i	−0.0248230	−	0.224068i
$694$	2.50457	+	4.91423i	0.0950723	+	0.186542i
$695$	1.13184	−	0.468822i	0.0429330	−	0.0177834i
$696$	−1.45976	−	7.47238i	−0.0553322	−	0.283240i
$697$	3.60128	+	1.49170i	0.136408	+	0.0565021i
$698$	19.9029	−	1.56848i	0.753336	−	0.0593679i
$699$	5.84165	−	5.35961i	0.220951	−	0.202719i
$700$	6.95053	+	11.3369i	0.262705	+	0.428495i
$701$	17.0957	−	3.40054i	0.645695	−	0.128437i	0.138630	−	0.990344i	$-0.455730\pi$
$701$	17.0957	−	3.40054i	0.645695	−	0.128437i	0.507065	+	0.861908i	$0.330730\pi$
$702$	−23.0419	+	8.21097i	−0.869662	+	0.309903i
$703$		−	10.0836i		−	0.380311i
$704$	−4.89206	−	6.19756i	−0.184376	−	0.233579i
$705$	−11.2101	+	1.73258i	−0.422197	+	0.0652526i
$706$	46.0517	+	5.44571i	1.73318	+	0.204952i
$707$	6.54159	+	32.8868i	0.246022	+	1.23683i
$708$	19.0992	−	16.1961i	0.717793	−	0.608685i
$709$	−30.5589	+	20.4188i	−1.14766	+	0.766844i	−0.975884	−	0.218292i	$-0.929952\pi$
$709$	−30.5589	+	20.4188i	−1.14766	+	0.766844i	−0.171779	+	0.985135i	$0.554952\pi$
$710$	1.59591	+	20.2509i	0.0598935	+	0.760004i
$711$	1.53959	−	17.8548i	0.0577393	−	0.669607i
$712$	−23.4940	−	21.7040i	−0.880476	−	0.813393i
$713$	−6.35072	−	15.3320i	−0.237836	−	0.574187i
$714$	−23.6658	+	17.0632i	−0.885669	+	0.638572i
$715$	0.831425	−	4.17986i	0.0310935	−	0.156318i
$716$	9.38275	+	10.1460i	0.350650	+	0.379172i
$717$	15.2158	−	32.6837i	0.568244	−	1.22060i
$718$	−25.0363	+	44.7166i	−0.934348	+	1.66881i
$719$	1.15249	+	1.15249i	0.0429805	+	0.0429805i	0.728270	−	0.685290i	$-0.240324\pi$
$719$	1.15249	+	1.15249i	0.0429805	+	0.0429805i	−0.685290	+	0.728270i	$0.740324\pi$
$720$	11.3559	+	10.6469i	0.423208	+	0.396786i
$721$	5.47770	−	5.47770i	0.204000	−	0.204000i
$722$	−6.33444	−	22.4513i	−0.235743	−	0.835550i
$723$	−22.6317	−	10.5361i	−0.841681	−	0.391842i
$724$	−37.7925	−	17.4130i	−1.40455	−	0.647150i
$725$	5.05641	+	1.00578i	0.187790	+	0.0373538i
$726$	24.2419	+	3.92988i	0.899701	+	0.145852i
$727$	20.8812	−	8.64926i	0.774440	−	0.320783i	0.0397704	−	0.999209i	$-0.487337\pi$
$727$	20.8812	−	8.64926i	0.774440	−	0.320783i	0.734669	+	0.678425i	$0.237337\pi$
$728$	−18.3484	+	4.41113i	−0.680036	+	0.163487i
$729$	−13.5876	−	23.3319i	−0.503246	−	0.864143i
$730$	−12.4183	−	10.6040i	−0.459621	−	0.392470i
$731$	26.2285	+	39.2537i	0.970096	+	1.45185i
$732$	−12.5611	−	39.1286i	−0.464273	−	1.44623i
$733$	−4.76718	+	0.948252i	−0.176080	+	0.0350245i	−0.282343	−	0.959314i	$-0.591112\pi$
$733$	−4.76718	+	0.948252i	−0.176080	+	0.0350245i	0.106263	+	0.994338i	$0.466112\pi$
$734$	−21.8401	−	27.6981i	−0.806134	−	1.02236i
$735$	−1.02357	−	6.62270i	−0.0377550	−	0.244282i
$736$	9.83535	−	49.5809i	0.362536	−	1.82758i
$737$	−12.3352			−0.454373
$738$	−1.56314	+	2.30247i	−0.0575399	+	0.0847552i
$739$	4.90789	+	24.6736i	0.180540	+	0.907634i	0.959747	+	0.280867i	$0.0906221\pi$
$739$	4.90789	+	24.6736i	0.180540	+	0.907634i	−0.779207	+	0.626767i	$0.784378\pi$
$740$	9.71318	−	13.3749i	0.357064	−	0.491672i
$741$	−6.16888	−	6.72370i	−0.226619	−	0.247001i
$742$	6.69058	+	5.71309i	0.245619	+	0.209734i
$743$	3.84400	−	9.28024i	0.141023	−	0.340459i	−0.837550	−	0.546361i	$-0.816013\pi$
$743$	3.84400	−	9.28024i	0.141023	−	0.340459i	0.978573	+	0.205902i	$0.0660127\pi$
$744$	−9.09842	−	0.0311607i	−0.333564	−	0.00114241i
$745$	−6.54655	−	15.8048i	−0.239847	−	0.579042i
$746$	27.4711	+	8.92273i	1.00579	+	0.326684i
$747$	5.13543	+	46.3555i	0.187896	+	1.69606i
$748$	4.06230	+	11.0043i	0.148532	+	0.402356i
$749$	4.00728	+	2.67758i	0.146423	+	0.0978367i
$750$	−24.0404	+	10.9770i	−0.877830	+	0.400824i
$751$	7.79992	+	7.79992i	0.284623	+	0.284623i	0.834950	−	0.550327i	$-0.185497\pi$
$751$	7.79992	+	7.79992i	0.284623	+	0.284623i	−0.550327	+	0.834950i	$0.685497\pi$
$752$	19.2033	−	6.24840i	0.700273	−	0.227856i
$753$	11.7700	−	16.0733i	0.428923	−	0.585745i
$754$	−3.57416	+	6.38368i	−0.130163	+	0.232480i
$755$	4.11897	+	2.75221i	0.149905	+	0.100163i
$756$	−8.51189	−	19.0112i	−0.309574	−	0.691432i
$757$	29.7399	+	5.91564i	1.08092	+	0.215008i	0.703256	−	0.710937i	$-0.251729\pi$
$757$	29.7399	+	5.91564i	1.08092	+	0.215008i	0.377660	+	0.925944i	$0.376729\pi$
$758$	−21.2367	−	41.6687i	−0.771353	−	1.51348i
$759$	−7.93243	−	13.0538i	−0.287929	−	0.473824i
$760$	−2.00812	+	5.44851i	−0.0728422	+	0.197638i
$761$	0.0147356	−	0.0355749i	0.000534165	−	0.00128959i	−0.923612	−	0.383328i	$-0.874778\pi$
$761$	0.0147356	−	0.0355749i	0.000534165	−	0.00128959i	0.924146	+	0.382039i	$0.124778\pi$
$762$	0.0875013	+	0.370393i	0.00316984	+	0.0134179i
$763$	−13.4353	−	20.1074i	−0.486391	−	0.727936i
$764$	30.0704	+	7.21262i	1.08791	+	0.260943i
$765$	−11.1487	−	20.2612i	−0.403081	−	0.732546i
$766$	17.1260	+	2.02518i	0.618787	+	0.0731727i
$767$	−24.0634			−0.868878
$768$	−22.9976	−	15.4632i	−0.829853	−	0.557982i
$769$	7.77174			0.280256			0.140128	−	0.990133i	$-0.455249\pi$
$769$	7.77174			0.280256			0.140128	+	0.990133i	$0.455249\pi$
$770$	3.60395	+	0.426174i	0.129877	+	0.0153582i
$771$	1.63527	+	4.48414i	0.0588928	+	0.161492i
$772$	−8.64581	−	2.07377i	−0.311170	−	0.0746365i
$773$	9.12175	+	13.6517i	0.328087	+	0.491016i	0.958441	−	0.285291i	$-0.0920903\pi$
$773$	9.12175	+	13.6517i	0.328087	+	0.491016i	−0.630354	+	0.776308i	$0.717090\pi$
$774$	−31.2339	+	12.6686i	−1.12268	+	0.455362i
$775$	2.35768	−	5.69194i	0.0846903	−	0.204461i
$776$	−3.93641	+	10.6804i	−0.141309	+	0.383405i
$777$	−18.9026	+	11.4866i	−0.678127	+	0.412078i
$778$	0.409857	+	0.804182i	0.0146941	+	0.0288313i
$779$	−1.01819	−	0.202530i	−0.0364803	−	0.00725639i
$780$	−1.70571	−	14.8606i	−0.0610740	−	0.532094i
$781$	−9.08690	−	6.07167i	−0.325155	−	0.217262i
$782$	−36.6859	+	65.5234i	−1.31189	+	2.34311i
$783$	−7.65177	−	2.58143i	−0.273452	−	0.0922527i
$784$	3.69143	+	11.3449i	0.131837	+	0.405176i
$785$	−2.20662	−	2.20662i	−0.0787575	−	0.0787575i
$786$	17.7102	+	38.7864i	0.631702	+	1.38347i
$787$	−12.7036	−	8.48825i	−0.452833	−	0.302574i	0.308159	−	0.951335i	$-0.400287\pi$
$787$	−12.7036	−	8.48825i	−0.452833	−	0.302574i	−0.760992	+	0.648762i	$0.775287\pi$
$788$	1.65420	+	4.48104i	0.0589286	+	0.159630i
$789$	−8.36252	−	0.359876i	−0.297713	−	0.0128119i
$790$	10.4228	+	3.38537i	0.370826	+	0.120446i
$791$	−15.3746	−	37.1176i	−0.546658	−	1.31975i
$792$	−8.28072	+	1.25080i	−0.294242	+	0.0444454i
$793$	−15.1120	+	36.4836i	−0.536644	+	1.29557i
$794$	15.8325	+	13.5193i	0.561873	+	0.479784i
$795$	−5.13854	+	4.71452i	−0.182245	+	0.167207i
$796$	24.3856	−	33.5787i	0.864326	−	1.19017i
$797$	9.43393	+	47.4276i	0.334167	+	1.67997i	0.673407	+	0.739272i	$0.264830\pi$
$797$	9.43393	+	47.4276i	0.334167	+	1.67997i	−0.339240	+	0.940700i	$0.610170\pi$
$798$	5.29513	−	5.68665i	0.187446	−	0.201305i
$799$	−30.0014			−1.06137
$800$	15.5974	−	10.4336i	0.551451	−	0.368884i
$801$	−32.3422	+	10.2419i	−1.14275	+	0.361881i
$802$	21.5992	+	27.3926i	0.762695	+	0.967266i
$803$	8.61650	−	1.71393i	0.304070	−	0.0604832i
$804$	−41.2229	+	13.2335i	−1.45382	+	0.466708i
$805$	12.9074	+	19.3173i	0.454925	+	0.680844i
$806$	6.64880	+	5.67741i	0.234194	+	0.199978i
$807$	10.3089	−	42.2433i	0.362889	−	1.48703i
$808$	46.0064	−	11.0604i	1.61850	−	0.389104i
$809$	20.3048	−	8.41051i	0.713878	−	0.295698i	0.00396971	−	0.999992i	$-0.498736\pi$
$809$	20.3048	−	8.41051i	0.713878	−	0.295698i	0.709908	+	0.704294i	$0.248736\pi$
$810$	15.7766	−	4.86836i	0.554332	−	0.171057i
$811$	10.6456	+	2.11755i	0.373819	+	0.0743572i	0.378424	−	0.925632i	$-0.376466\pi$
$811$	10.6456	+	2.11755i	0.373819	+	0.0743572i	−0.00460559	+	0.999989i	$0.501466\pi$
$812$	−5.65829	−	2.60707i	−0.198567	−	0.0914904i
$813$	2.59230	−	5.56829i	0.0909158	−	0.195288i
$814$	2.41481	+	8.55884i	0.0846390	+	0.299987i
$815$	11.1983	−	11.1983i	0.392260	−	0.392260i
$816$	25.3813	+	32.4169i	0.888524	+	1.13482i
$817$	−8.89061	−	8.89061i	−0.311043	−	0.311043i
$818$	19.6927	−	35.1724i	0.688538	−	1.22977i
$819$	−5.57699	+	19.2233i	−0.194876	+	0.671715i
$820$	−1.15543	−	1.24942i	−0.0403495	−	0.0436315i
$821$	−8.77241	+	44.1019i	−0.306159	+	1.53917i	0.454935	+	0.890524i	$0.349662\pi$
$821$	−8.77241	+	44.1019i	−0.306159	+	1.53917i	−0.761094	+	0.648641i	$0.775338\pi$
$822$	−19.6245	−	27.2183i	−0.684484	−	0.949346i
$823$	1.14321	+	2.75996i	0.0398499	+	0.0962062i	0.942551	−	0.334061i	$-0.108419\pi$
$823$	1.14321	+	2.75996i	0.0398499	+	0.0962062i	−0.902701	+	0.430267i	$0.858419\pi$
$824$	−8.02967	−	7.41789i	−0.279727	−	0.258415i
$825$	1.34442	−	5.50912i	0.0468067	−	0.191803i
$826$	−1.60984	−	20.4277i	−0.0560134	−	0.710770i
$827$	32.6221	−	21.7974i	1.13438	−	0.757971i	0.160955	−	0.986962i	$-0.448543\pi$
$827$	32.6221	−	21.7974i	1.13438	−	0.757971i	0.973429	+	0.228991i	$0.0735427\pi$
$828$	−40.5137	−	35.1143i	−1.40795	−	1.22031i
$829$	−1.57093	−	7.89760i	−0.0545607	−	0.274295i	0.943869	−	0.330321i	$-0.107157\pi$
$829$	−1.57093	−	7.89760i	−0.0545607	−	0.274295i	−0.998429	+	0.0560260i	$0.982157\pi$
$830$	−28.3227	−	3.34921i	−0.983094	−	0.116253i
$831$	2.71998	+	17.5988i	0.0943551	+	0.610496i
$832$	7.24451	+	25.6256i	0.251158	+	0.888409i
$833$		−	17.7242i		−	0.614108i
$834$	0.0824211	+	2.31186i	0.00285401	+	0.0800532i
$835$	−18.7683	+	3.73324i	−0.649503	+	0.129194i
$836$	−1.63286	−	2.66333i	−0.0564736	−	0.0921134i
$837$	−4.80951	+	8.36652i	−0.166241	+	0.289189i
$838$	−6.12154	+	0.482419i	−0.211465	+	0.0166649i
$839$	28.7150	+	11.8941i	0.991351	+	0.410631i	0.818618	−	0.574338i	$-0.194740\pi$
$839$	28.7150	+	11.8941i	0.991351	+	0.410631i	0.172732	+	0.984969i	$0.444740\pi$
$840$	12.5012	−	2.44216i	0.431332	−	0.0842626i
$841$	24.5611	−	10.1735i	0.846933	−	0.350811i
$842$	−13.1711	−	25.8430i	−0.453905	−	0.890609i
$843$	−44.0325	−	1.89491i	−1.51656	−	0.0652642i
$844$	3.73444	+	4.03820i	0.128545	+	0.139000i
$845$	1.38330	−	2.07026i	0.0475870	−	0.0712189i
$846$	4.33344	−	20.9764i	0.148987	−	0.721182i
$847$	14.2096	−	14.2096i	0.488247	−	0.488247i
$848$	7.68207	−	9.75303i	0.263803	−	0.334920i
$849$	17.2390	−	23.5419i	0.591642	−	0.807957i
$850$	−26.8310	+	7.57016i	−0.920297	+	0.259654i
$851$	−31.6294	+	47.3368i	−1.08424	+	1.62268i
$852$	−36.8812	−	10.5422i	−1.26353	−	0.361171i
$853$	−7.11679	+	35.7785i	−0.243674	+	1.22503i	0.644168	+	0.764884i	$0.277204\pi$
$853$	−7.11679	+	35.7785i	−0.243674	+	1.22503i	−0.887842	+	0.460148i	$0.847796\pi$
$854$	−31.9824	−	10.3880i	−1.09441	−	0.355470i
$855$	3.96484	+	4.71313i	0.135595	+	0.161186i
$856$	3.55172	−	5.79996i	0.121395	−	0.198239i
$857$	9.18228	+	3.80342i	0.313661	+	0.129923i	0.533960	−	0.845510i	$-0.320703\pi$
$857$	9.18228	+	3.80342i	0.313661	+	0.129923i	−0.220299	+	0.975432i	$0.570703\pi$
$858$	6.84624	+	4.22968i	0.233727	+	0.144399i
$859$	12.6718	−	8.46703i	0.432356	−	0.288891i	−0.320286	−	0.947321i	$-0.603779\pi$
$859$	12.6718	−	8.46703i	0.432356	−	0.288891i	0.752642	+	0.658430i	$0.228779\pi$
$860$	−3.22851	−	20.3565i	−0.110091	−	0.694151i
$861$	0.780187	+	2.13938i	0.0265887	+	0.0729100i
$862$	4.01788	−	3.16812i	0.136850	−	0.107907i
$863$		−	4.88131i		−	0.166162i	−0.996543	−	0.0830808i	$-0.973524\pi$
$863$		−	4.88131i		−	0.166162i	0.996543	−	0.0830808i	$-0.0264760\pi$
$864$	−26.3313	+	13.0638i	−0.895810	+	0.444438i
$865$		−	11.1292i		−	0.378405i
$866$	−23.6010	−	29.9313i	−0.801995	−	1.01711i
$867$	−10.8677	−	29.8008i	−0.369086	−	1.01209i
$868$	−4.37481	+	6.02406i	−0.148491	+	0.204470i
$869$	−4.90218	+	3.27553i	−0.166295	+	0.111115i
$870$	2.59548	−	4.20110i	0.0879950	−	0.142430i
$871$	38.4364	+	15.9209i	1.30237	+	0.539458i
$872$	−27.6020	+	20.0672i	−0.934721	+	0.679562i
$873$	7.77207	+	9.23890i	0.263045	+	0.312690i
$874$	6.17822	−	19.0214i	0.208981	−	0.643407i
$875$	−4.21887	+	21.2097i	−0.142624	+	0.717018i
$876$	26.9566	−	14.9717i	0.910779	−	0.505847i
$877$	11.9657	−	17.9080i	0.404054	−	0.604709i	−0.572520	−	0.819890i	$-0.694034\pi$
$877$	11.9657	−	17.9080i	0.404054	−	0.604709i	0.976574	+	0.215181i	$0.0690343\pi$
$878$	7.17018	+	25.4134i	0.241982	+	0.857660i
$879$	4.44444	−	6.06940i	0.149907	−	0.204716i
$880$	0.399668	−	5.10552i	0.0134728	−	0.172107i
$881$	10.5213	−	10.5213i	0.354471	−	0.354471i	−0.507299	−	0.861770i	$-0.669356\pi$
$881$	10.5213	−	10.5213i	0.354471	−	0.354471i	0.861770	+	0.507299i	$0.169356\pi$
$882$	12.3924	+	2.56011i	0.417274	+	0.0862034i
$883$	6.61033	−	9.89306i	0.222455	−	0.332928i	−0.703408	−	0.710786i	$-0.748339\pi$
$883$	6.61033	−	9.89306i	0.222455	−	0.332928i	0.925863	+	0.377858i	$0.123339\pi$
$884$	1.54496	−	39.5323i	0.0519627	−	1.32962i
$885$	16.2271	+	0.698323i	0.545467	+	0.0234739i
$886$	−35.8266	+	18.2593i	−1.20362	+	0.613432i
$887$	17.5114	−	7.25345i	0.587975	−	0.243547i	−0.0688044	−	0.997630i	$-0.521918\pi$
$887$	17.5114	−	7.25345i	0.587975	−	0.243547i	0.656779	+	0.754083i	$0.271918\pi$
$888$	17.2521	+	26.0120i	0.578943	+	0.872906i
$889$	0.287719	+	0.119177i	0.00964977	+	0.00399707i
$890$	−1.62982	−	20.6812i	−0.0546317	−	0.693237i
$891$	−3.19870	+	8.28674i	−0.107160	+	0.277616i
$892$	28.0247	+	6.72195i	0.938337	+	0.225068i
$893$	7.83660	−	1.55880i	0.262242	−	0.0521632i
$894$	32.2824	−	1.15091i	1.07969	−	0.0384923i
$895$			8.96325i			0.299608i
$896$	−21.2692	+	7.86430i	−0.710555	+	0.262728i
$897$	7.86899	+	50.9139i	0.262738	+	1.69996i
$898$	4.83124	−	40.8555i	0.161221	−	1.36337i
$899$	0.563099	+	2.83089i	0.0187804	+	0.0944154i
$900$	−1.41739	−	19.8532i	−0.0472462	−	0.661772i
$901$	−15.3359	+	10.2472i	−0.510915	+	0.341382i
$902$	0.912724	−	0.0719288i	0.0303904	−	0.00239497i
$903$	−6.53864	+	26.7938i	−0.217592	+	0.891641i
$904$	−51.4788	+	23.7516i	−1.71216	+	0.789967i
$905$	−10.3282	−	24.9345i	−0.343322	−	0.828851i
$906$	−7.58773	+	5.47080i	−0.252086	+	0.181755i
$907$	1.64264	−	8.25812i	0.0545430	−	0.274206i	−0.943884	−	0.330278i	$-0.892858\pi$
$907$	1.64264	−	8.25812i	0.0545430	−	0.274206i	0.998427	+	0.0560716i	$0.0178575\pi$
$908$	9.89267	+	0.386616i	0.328300	+	0.0128303i
$909$	13.9837	−	48.2001i	0.463809	−	1.59870i
$910$	−10.6798	−	5.97952i	−0.354032	−	0.198219i
$911$	14.3917	+	14.3917i	0.476820	+	0.476820i	0.904113	−	0.427293i	$-0.140533\pi$
$911$	14.3917	+	14.3917i	0.476820	+	0.476820i	−0.427293	+	0.904113i	$0.640533\pi$
$912$	−8.31410	−	7.14879i	−0.275307	−	0.236720i
$913$	10.8496	−	10.8496i	0.359070	−	0.359070i
$914$	41.3052	−	11.6539i	1.36625	−	0.385478i
$915$	11.2495	−	24.1641i	0.371897	−	0.798840i
$916$	3.27238	+	8.86449i	0.108123	+	0.292891i
$917$	34.2194	+	6.80667i	1.13002	+	0.224776i
$918$	43.2042	−	6.35170i	1.42595	−	0.209637i
$919$	16.1957	−	6.70847i	0.534246	−	0.221292i	−0.0992157	−	0.995066i	$-0.531633\pi$
$919$	16.1957	−	6.70847i	0.534246	−	0.221292i	0.633462	+	0.773774i	$0.281633\pi$
$920$	26.5173	−	19.2787i	0.874251	−	0.635599i
$921$	1.42106	−	5.82317i	0.0468256	−	0.191880i
$922$	−11.6705	+	13.6672i	−0.384346	+	0.450106i
$923$	20.4781	+	30.6476i	0.674044	+	1.00878i
$924$	−3.13261	+	6.09481i	−0.103055	+	0.200505i
$925$	−20.7295	+	4.12335i	−0.681580	+	0.135575i
$926$	2.19236	−	1.72869i	0.0720455	−	0.0568083i
$927$	−11.0537	+	3.50044i	−0.363053	+	0.114969i
$928$	−3.36011	+	8.12401i	−0.110301	+	0.266684i
$929$	−10.1436			−0.332802			−0.166401	−	0.986058i	$-0.553215\pi$
$929$	−10.1436			−0.332802			−0.166401	+	0.986058i	$0.553215\pi$
$930$	−4.31884	−	4.02149i	−0.141620	−	0.131870i
$931$	0.920906	+	4.62971i	0.0301815	+	0.151732i
$932$	−9.04125	+	1.43393i	−0.296156	+	0.0469699i
$933$	−24.2378	+	22.2377i	−0.793509	+	0.728030i
$934$	5.24738	−	6.14519i	0.171700	−	0.201077i
$935$	−2.91151	+	7.02901i	−0.0952166	+	0.229873i
$936$	27.4170	+	6.79031i	0.896153	+	0.221948i
$937$	17.5554	+	42.3824i	0.573508	+	1.38457i	0.898550	+	0.438872i	$0.144622\pi$
$937$	17.5554	+	42.3824i	0.573508	+	1.38457i	−0.325041	+	0.945700i	$0.605378\pi$
$938$	−10.9440	+	33.6942i	−0.357335	+	1.10015i
$939$	−23.1073	−	0.994412i	−0.754080	−	0.0324514i
$940$	11.8960	+	5.48112i	0.388005	+	0.178774i
$941$	−6.87719	−	4.59519i	−0.224190	−	0.149799i	0.438403	−	0.898778i	$-0.355544\pi$
$941$	−6.87719	−	4.59519i	−0.224190	−	0.149799i	−0.662593	+	0.748979i	$0.730544\pi$
$942$	5.36031	−	2.44756i	0.174648	−	0.0797458i
$943$	4.14452	+	4.14452i	0.134964	+	0.134964i
$944$	−28.7140	+	3.41068i	−0.934560	+	0.111008i
$945$	4.31869	−	12.8013i	0.140487	−	0.416426i
$946$	9.67534	+	5.41712i	0.314572	+	0.176126i
$947$	22.1380	+	14.7922i	0.719389	+	0.480680i	0.860589	−	0.509301i	$-0.170096\pi$
$947$	22.1380	+	14.7922i	0.719389	+	0.480680i	−0.141200	+	0.989981i	$0.545096\pi$
$948$	−12.8685	+	16.2056i	−0.417948	+	0.526334i
$949$	−29.0610	−	5.78060i	−0.943362	−	0.187646i
$950$	6.61515	−	3.37146i	0.214624	−	0.109385i
$951$	−21.9547	+	13.3412i	−0.711930	+	0.432619i
$952$	33.6628	−	1.33317i	1.09102	−	0.0432084i
$953$	−9.52957	+	23.0064i	−0.308693	+	0.745251i	0.691055	+	0.722802i	$0.257146\pi$
$953$	−9.52957	+	23.0064i	−0.308693	+	0.745251i	−0.999748	+	0.0224487i	$0.992854\pi$
$954$	−4.94945	−	12.2027i	−0.160244	−	0.395077i
$955$	11.1430	+	16.6766i	0.360578	+	0.539642i
$956$	−35.4902	+	21.7586i	−1.14784	+	0.703724i
$957$	0.910216	+	2.49594i	0.0294231	+	0.0806823i
$958$	0.822430	−	6.95490i	0.0265715	−	0.224702i
$959$	−27.4573			−0.886642
$960$	−4.14165	−	17.4908i	−0.133671	−	0.564514i
$961$	−27.5507			−0.888734
$962$	3.52225	−	29.7860i	0.113562	−	0.960340i
$963$	−3.47757	−	6.32001i	−0.112063	−	0.203660i
$964$	15.0667	+	24.5750i	0.485265	+	0.791509i
$965$	−3.20381	−	4.79485i	−0.103134	−	0.154352i
$966$	−42.6949	+	10.0862i	−1.37369	+	0.324518i
$967$	6.44006	−	15.5477i	0.207098	−	0.499980i	−0.785865	−	0.618397i	$-0.787782\pi$
$967$	6.44006	−	15.5477i	0.207098	−	0.499980i	0.992964	+	0.118418i	$0.0377822\pi$
$968$	−20.8296	−	19.2426i	−0.669489	−	0.618481i
$969$	8.45947	+	13.9211i	0.271757	+	0.447211i
$970$	−6.57779	+	3.35242i	−0.211200	+	0.107640i
$971$	−28.6135	−	5.69159i	−0.918252	−	0.182652i	−0.286732	−	0.958011i	$-0.592569\pi$
$971$	−28.6135	−	5.69159i	−0.918252	−	0.182652i	−0.631521	+	0.775359i	$0.717569\pi$
$972$	−1.79950	+	31.1249i	−0.0577190	+	0.998333i
$973$	1.57391	+	1.05166i	0.0504574	+	0.0337146i
$974$	41.3277	+	23.1389i	1.32422	+	0.741420i
$975$	−11.2997	+	15.4311i	−0.361881	+	0.494191i
$976$	−12.8615	+	45.6766i	−0.411688	+	1.46207i
$977$	−0.0787675	−	0.0787675i	−0.00252000	−	0.00252000i	0.705846	−	0.708366i	$-0.250567\pi$
$977$	−0.0787675	−	0.0787675i	−0.00252000	−	0.00252000i	−0.708366	+	0.705846i	$0.750567\pi$
$978$	12.4211	+	27.2029i	0.397182	+	0.869854i
$979$	9.27998	+	6.20068i	0.296589	+	0.198175i
$980$	−3.23813	+	7.02791i	−0.103438	+	0.224498i
$981$	3.98552	+	35.9757i	0.127248	+	1.14861i
$982$	9.73574	−	29.9742i	0.310680	−	0.956514i
$983$	5.37333	+	12.9724i	0.171383	+	0.413754i	0.986111	−	0.166089i	$-0.0531139\pi$
$983$	5.37333	+	12.9724i	0.171383	+	0.413754i	−0.814728	+	0.579843i	$0.803114\pi$
$984$	2.97305	−	1.21957i	0.0947774	−	0.0388783i
$985$	−1.18559	+	2.86228i	−0.0377762	+	0.0911997i
$986$	8.48135	−	9.93249i	0.270101	−	0.316315i
$987$	−11.8490	−	12.9147i	−0.377158	−	0.411079i
$988$	1.65044	+	10.4064i	0.0525076	+	0.331073i
$989$	13.8490	+	69.6235i	0.440372	+	2.21390i
$990$	−4.49400	−	3.05095i	−0.142829	−	0.0969655i
$991$	47.6831			1.51471			0.757353	−	0.653006i	$-0.226492\pi$
$991$	47.6831			1.51471			0.757353	+	0.653006i	$0.226492\pi$
$992$	8.73847	+	5.83226i	0.277447	+	0.185175i
$993$	−8.11140	−	52.4823i	−0.257407	−	1.66548i
$994$	−24.6471	+	19.4344i	−0.781759	+	0.616421i
$995$	26.3992	−	5.25112i	0.836910	−	0.166472i
$996$	24.6185	−	47.8978i	0.780066	−	1.51770i
$997$	20.2564	+	30.3158i	0.641525	+	0.960110i	0.999650	+	0.0264367i	$0.00841606\pi$
$997$	20.2564	+	30.3158i	0.641525	+	0.960110i	−0.358125	+	0.933674i	$0.616584\pi$
$998$	−14.0827	+	16.4923i	−0.445782	+	0.522054i
$999$	33.0315	−	2.22724i	1.04507	−	0.0704668i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.30	yes	240
3.2	odd	2	inner	192.2.s.a.107.1	✓	240
4.3	odd	2		768.2.s.a.335.27		240
12.11	even	2		768.2.s.a.335.30		240
64.3	odd	16	inner	192.2.s.a.131.1	yes	240
64.61	even	16		768.2.s.a.431.30		240
192.125	odd	16		768.2.s.a.431.27		240
192.131	even	16	inner	192.2.s.a.131.30	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.1	✓	240	3.2	odd	2	inner
192.2.s.a.107.30	yes	240	1.1	even	1	trivial
192.2.s.a.131.1	yes	240	64.3	odd	16	inner
192.2.s.a.131.30	yes	240	192.131	even	16	inner
768.2.s.a.335.27		240	4.3	odd	2
768.2.s.a.335.30		240	12.11	even	2
768.2.s.a.431.27		240	192.125	odd	16
768.2.s.a.431.30		240	64.61	even	16

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(1.40443 + 0.166076i) q^{2} +(-1.62722 + 0.593414i) q^{3} +(1.94484 + 0.466485i) q^{4} +(0.720684 + 1.07858i) q^{5} +(-2.38387 + 0.563164i) q^{6} +(-0.767030 + 1.85177i) q^{7} +(2.65391 + 0.978136i) q^{8} +(2.29572 - 1.93124i) q^{9} +O(q^{10})\)	\(q+(1.40443 + 0.166076i) q^{2} +(-1.62722 + 0.593414i) q^{3} +(1.94484 + 0.466485i) q^{4} +(0.720684 + 1.07858i) q^{5} +(-2.38387 + 0.563164i) q^{6} +(-0.767030 + 1.85177i) q^{7} +(2.65391 + 0.978136i) q^{8} +(2.29572 - 1.93124i) q^{9} +(0.833022 + 1.63448i) q^{10} +(-0.967998 - 0.192547i) q^{11} +(-3.44151 + 0.395018i) q^{12} +(2.76775 + 1.84935i) q^{13} +(-1.38477 + 2.47330i) q^{14} +(-1.81276 - 1.32743i) q^{15} +(3.56478 + 1.81447i) q^{16} +(-4.20201 - 4.20201i) q^{17} +(3.54491 - 2.33102i) q^{18} +(1.31593 + 0.879274i) q^{19} +(0.898472 + 2.43385i) q^{20} +(0.149261 - 3.46842i) q^{21} +(-1.32751 - 0.431180i) q^{22} +(-3.41948 - 8.25535i) q^{23} +(-4.89895 - 0.0167782i) q^{24} +(1.26947 - 3.06477i) q^{25} +(3.57998 + 3.05694i) q^{26} +(-2.58963 + 4.50487i) q^{27} +(-2.35557 + 3.24359i) q^{28} +(0.303195 + 1.52426i) q^{29} +(-2.32544 - 2.16533i) q^{30} +1.85722 q^{31} +(4.70514 + 3.14032i) q^{32} +(1.68941 - 0.261107i) q^{33} +(-5.20357 - 6.59928i) q^{34} +(-2.55007 + 0.507241i) q^{35} +(5.36569 - 2.68502i) q^{36} +(-3.53974 - 5.29759i) q^{37} +(1.70210 + 1.45342i) q^{38} +(-5.60119 - 1.36689i) q^{39} +(0.857634 + 3.56738i) q^{40} +(-0.606016 + 0.251020i) q^{41} +(0.785650 - 4.84636i) q^{42} +(-7.79176 - 1.54988i) q^{43} +(-1.79278 - 0.826028i) q^{44} +(3.73748 + 1.08431i) q^{45} +(-3.43139 - 12.1619i) q^{46} +(3.56988 - 3.56988i) q^{47} +(-6.87744 - 0.837164i) q^{48} +(2.10901 + 2.10901i) q^{49} +(2.29186 - 4.09342i) q^{50} +(9.33116 + 4.34409i) q^{51} +(4.52014 + 4.88781i) q^{52} +(0.605519 - 3.04415i) q^{53} +(-4.38510 + 5.89668i) q^{54} +(-0.489944 - 1.18283i) q^{55} +(-3.84692 + 4.16419i) q^{56} +(-2.66308 - 0.649887i) q^{57} +(0.172671 + 2.19107i) q^{58} +(-6.01066 + 4.01619i) q^{59} +(-2.90630 - 3.42725i) q^{60} +(2.31440 + 11.6353i) q^{61} +(2.60833 + 0.308440i) q^{62} +(1.81533 + 5.73247i) q^{63} +(6.08650 + 5.19177i) q^{64} +4.31804i q^{65} +(2.41602 - 0.0861344i) q^{66} +(12.2580 - 2.43827i) q^{67} +(-6.21206 - 10.1324i) q^{68} +(10.4631 + 11.4041i) q^{69} +(-3.66563 + 0.288877i) q^{70} +(10.2302 + 4.23749i) q^{71} +(7.98165 - 2.87980i) q^{72} +(-8.22378 + 3.40640i) q^{73} +(-4.09150 - 8.02795i) q^{74} +(-0.247034 + 5.74039i) q^{75} +(2.14909 + 2.32390i) q^{76} +(1.09904 - 1.64482i) q^{77} +(-7.63946 - 2.84993i) q^{78} +(4.22403 - 4.22403i) q^{79} +(0.612028 + 5.15257i) q^{80} +(1.54066 - 8.86715i) q^{81} +(-0.892794 + 0.251894i) q^{82} +(-8.63710 + 12.9263i) q^{83} +(1.90825 - 6.67588i) q^{84} +(1.50388 - 7.56053i) q^{85} +(-10.6856 - 3.47072i) q^{86} +(-1.39789 - 2.30040i) q^{87} +(-2.38064 - 1.45784i) q^{88} +(-10.4476 - 4.32753i) q^{89} +(5.06894 + 2.14354i) q^{90} +(-5.54754 + 3.70675i) q^{91} +(-2.79933 - 17.6505i) q^{92} +(-3.02211 + 1.10210i) q^{93} +(5.60652 - 4.42077i) q^{94} +2.05301i q^{95} +(-9.51984 - 2.31792i) q^{96} +4.02440i q^{97} +(2.61170 + 3.31222i) q^{98} +(-2.59411 + 1.42740i) 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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