LMFDB - Embedded newform 147.2.k.a.83.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [147,2,Mod(20,147)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(147, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 13]))

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

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

chi := DirichletCharacter("147.20");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 147 = 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	147.k (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.17380090971$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$16$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			83.8
Character	$\chi$	$=$	147.83
Dual form			147.2.k.a.62.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.399023 - 0.0910744i) q^{2} +(1.45277 - 0.943115i) q^{3} +(-1.65101 - 0.795086i) q^{4} +(1.77155 - 2.22145i) q^{5} +(-0.665581 + 0.244014i) q^{6} +(-2.45493 + 0.986562i) q^{7} +(1.22636 + 0.977992i) q^{8} +(1.22107 - 2.74025i) q^{9} +O(q^{10})$	\(q+(-0.399023 - 0.0910744i) q^{2} +(1.45277 - 0.943115i) q^{3} +(-1.65101 - 0.795086i) q^{4} +(1.77155 - 2.22145i) q^{5} +(-0.665581 + 0.244014i) q^{6} +(-2.45493 + 0.986562i) q^{7} +(1.22636 + 0.977992i) q^{8} +(1.22107 - 2.74025i) q^{9} +(-0.909204 + 0.725066i) q^{10} +(-3.98455 - 0.909447i) q^{11} +(-3.14840 + 0.402019i) q^{12} +(4.69288 + 1.07112i) q^{13} +(1.06942 - 0.170079i) q^{14} +(0.478565 - 4.89802i) q^{15} +(1.88480 + 2.36346i) q^{16} +(4.81022 - 2.31648i) q^{17} +(-0.736802 + 0.982216i) q^{18} +4.40986i q^{19} +(-4.69109 + 2.25911i) q^{20} +(-2.63601 + 3.74853i) q^{21} +(1.50710 + 0.725780i) q^{22} +(0.270428 - 0.561550i) q^{23} +(2.70398 + 0.264194i) q^{24} +(-0.683853 - 2.99616i) q^{25} +(-1.77501 - 0.854801i) q^{26} +(-0.810442 - 5.13256i) q^{27} +(4.83753 + 0.323057i) q^{28} +(2.44930 + 5.08601i) q^{29} +(-0.637042 + 1.91084i) q^{30} +0.670225i q^{31} +(-1.89799 - 3.94121i) q^{32} +(-6.64633 + 2.43667i) q^{33} +(-2.13036 + 0.486240i) q^{34} +(-2.15743 + 7.20125i) q^{35} +(-4.19474 + 3.55334i) q^{36} +(-6.37330 + 3.06922i) q^{37} +(0.401625 - 1.75963i) q^{38} +(7.82785 - 2.86983i) q^{39} +(4.34512 - 0.991745i) q^{40} +(-4.48934 + 5.62946i) q^{41} +(1.39322 - 1.25568i) q^{42} +(3.55967 + 4.46368i) q^{43} +(5.85545 + 4.66956i) q^{44} +(-3.92415 - 7.56703i) q^{45} +(-0.159050 + 0.199442i) q^{46} +(-0.622897 + 2.72909i) q^{47} +(4.96718 + 1.65598i) q^{48} +(5.05339 - 4.84389i) q^{49} +1.25782i q^{50} +(4.80342 - 7.90189i) q^{51} +(-6.89637 - 5.49967i) q^{52} +(1.18390 - 2.45839i) q^{53} +(-0.144060 + 2.12182i) q^{54} +(-9.07909 + 7.24034i) q^{55} +(-3.97549 - 1.19102i) q^{56} +(4.15900 + 6.40650i) q^{57} +(-0.514119 - 2.25250i) q^{58} +(-3.41991 - 4.28844i) q^{59} +(-4.68446 + 7.70619i) q^{60} +(-1.93142 - 4.01064i) q^{61} +(0.0610403 - 0.267435i) q^{62} +(-0.294216 + 7.93180i) q^{63} +(-0.946955 - 4.14888i) q^{64} +(10.6931 - 8.52745i) q^{65} +(2.87396 - 0.366976i) q^{66} +3.62438 q^{67} -9.78353 q^{68} +(-0.136736 - 1.07085i) q^{69} +(1.51671 - 2.67698i) q^{70} +(2.32168 - 4.82103i) q^{71} +(4.17742 - 2.16635i) q^{72} +(-10.7798 + 2.46042i) q^{73} +(2.82262 - 0.644245i) q^{74} +(-3.81920 - 3.70777i) q^{75} +(3.50622 - 7.28073i) q^{76} +(10.6790 - 1.69837i) q^{77} +(-3.38486 + 0.432213i) q^{78} +10.8198 q^{79} +8.58931 q^{80} +(-6.01798 - 6.69208i) q^{81} +(2.30405 - 1.83742i) q^{82} +(-3.03892 - 13.3144i) q^{83} +(7.33248 - 4.09302i) q^{84} +(3.37558 - 14.7894i) q^{85} +(-1.01386 - 2.10531i) q^{86} +(8.35495 + 5.07883i) q^{87} +(-3.99707 - 5.01217i) q^{88} +(-1.11268 - 4.87497i) q^{89} +(0.876663 + 3.37681i) q^{90} +(-12.5774 + 2.00029i) q^{91} +(-0.892961 + 0.712112i) q^{92} +(0.632099 + 0.973681i) q^{93} +(0.497101 - 1.03224i) q^{94} +(9.79627 + 7.81226i) q^{95} +(-6.47435 - 3.93564i) q^{96} +12.2081i q^{97} +(-2.45757 + 1.47259i) q^{98} +(-7.35752 + 9.80817i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9}+O(q^{10}) $ 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9	$ 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9} - 14 q^{10} - 42 q^{12} - 14 q^{13} - 5 q^{15} - 22 q^{16} - 18 q^{18} - 7 q^{21} + 4 q^{22} - 7 q^{24} - 26 q^{25} - 28 q^{27} + 28 q^{28} - 20 q^{30} - 7 q^{33} - 70 q^{34} - 37 q^{36} + 38 q^{37} - 9 q^{39} - 28 q^{40} + 7 q^{42} - 18 q^{43} + 14 q^{45} + 62 q^{46} + 14 q^{49} - q^{51} + 112 q^{52} - 7 q^{54} - 56 q^{55} + q^{57} - 84 q^{58} + 111 q^{60} + 84 q^{61} - 7 q^{63} - 2 q^{64} + 21 q^{66} - 16 q^{67} - 91 q^{69} - 70 q^{70} - 27 q^{72} - 14 q^{73} + 119 q^{75} + 210 q^{76} - 87 q^{78} - 32 q^{79} - 71 q^{81} - 84 q^{82} + 154 q^{84} + 46 q^{85} + 49 q^{87} - 22 q^{88} + 203 q^{90} - 42 q^{91} + 53 q^{93} - 42 q^{94} - 28 q^{96} + 100 q^{99}+O(q^{100}) $ 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9 - 14 * q^10 - 42 * q^12 - 14 * q^13 - 5 * q^15 - 22 * q^16 - 18 * q^18 - 7 * q^21 + 4 * q^22 - 7 * q^24 - 26 * q^25 - 28 * q^27 + 28 * q^28 - 20 * q^30 - 7 * q^33 - 70 * q^34 - 37 * q^36 + 38 * q^37 - 9 * q^39 - 28 * q^40 + 7 * q^42 - 18 * q^43 + 14 * q^45 + 62 * q^46 + 14 * q^49 - q^51 + 112 * q^52 - 7 * q^54 - 56 * q^55 + q^57 - 84 * q^58 + 111 * q^60 + 84 * q^61 - 7 * q^63 - 2 * q^64 + 21 * q^66 - 16 * q^67 - 91 * q^69 - 70 * q^70 - 27 * q^72 - 14 * q^73 + 119 * q^75 + 210 * q^76 - 87 * q^78 - 32 * q^79 - 71 * q^81 - 84 * q^82 + 154 * q^84 + 46 * q^85 + 49 * q^87 - 22 * q^88 + 203 * q^90 - 42 * q^91 + 53 * q^93 - 42 * q^94 - 28 * q^96 + 100 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/147\mathbb{Z}\right)^\times$.

$n$	$50$	$52$
$\chi(n)$	$-1$	$e\left(\frac{3}{14}\right)$

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 $

$2$	−0.399023	−	0.0910744i	−0.282152	−	0.0643993i	0.0791030	−	0.996866i	$-0.474794\pi$
$2$	−0.399023	−	0.0910744i	−0.282152	−	0.0643993i	−0.361255	+	0.932467i	$0.617652\pi$
$3$	1.45277	−	0.943115i	0.838756	−	0.544507i
$3$	1.45277	−	0.943115i	0.838756	−	0.544507i
$4$	−1.65101	−	0.795086i	−0.825506	−	0.397543i
$5$	1.77155	−	2.22145i	0.792259	−	0.993462i	−0.207624	−	0.978209i	$-0.566573\pi$
$5$	1.77155	−	2.22145i	0.792259	−	0.993462i	0.999884	−	0.0152532i	$-0.00485545\pi$
$6$	−0.665581	+	0.244014i	−0.271722	+	0.0996185i
$7$	−2.45493	+	0.986562i	−0.927877	+	0.372885i
$7$	−2.45493	+	0.986562i	−0.927877	+	0.372885i
$8$	1.22636	+	0.977992i	0.433585	+	0.345772i
$9$	1.22107	−	2.74025i	0.407023	−	0.913418i
$10$	−0.909204	+	0.725066i	−0.287516	+	0.229286i
$11$	−3.98455	−	0.909447i	−1.20139	−	0.274208i	−0.425427	−	0.904993i	$-0.639876\pi$
$11$	−3.98455	−	0.909447i	−1.20139	−	0.274208i	−0.775958	+	0.630784i	$0.782733\pi$
$12$	−3.14840	+	0.402019i	−0.908864	+	0.116053i
$13$	4.69288	+	1.07112i	1.30157	+	0.297075i	0.816472	−	0.577385i	$-0.195927\pi$
$13$	4.69288	+	1.07112i	1.30157	+	0.297075i	0.485098	+	0.874460i	$0.338784\pi$
$14$	1.06942	−	0.170079i	0.285816	−	0.0454556i
$15$	0.478565	−	4.89802i	0.123565	−	1.26466i
$16$	1.88480	+	2.36346i	0.471199	+	0.590865i
$17$	4.81022	−	2.31648i	1.16665	−	0.561828i	0.252655	−	0.967556i	$-0.418696\pi$
$17$	4.81022	−	2.31648i	1.16665	−	0.561828i	0.913994	+	0.405728i	$0.132982\pi$
$18$	−0.736802	+	0.982216i	−0.173666	+	0.231510i
$19$			4.40986i			1.01169i	0.862624	+	0.505845i	$0.168819\pi$
$19$			4.40986i			1.01169i	−0.862624	+	0.505845i	$0.831181\pi$
$20$	−4.69109	+	2.25911i	−1.04896	+	0.505152i
$21$	−2.63601	+	3.74853i	−0.575224	+	0.817996i
$22$	1.50710	+	0.725780i	0.321314	+	0.154737i
$23$	0.270428	−	0.561550i	0.0563882	−	0.117091i	−0.870871	−	0.491512i	$-0.836444\pi$
$23$	0.270428	−	0.561550i	0.0563882	−	0.117091i	0.927259	+	0.374421i	$0.122159\pi$
$24$	2.70398	+	0.264194i	0.551948	+	0.0539285i
$25$	−0.683853	−	2.99616i	−0.136771	−	0.599231i
$26$	−1.77501	−	0.854801i	−0.348109	−	0.167640i
$27$	−0.810442	−	5.13256i	−0.155970	−	0.987762i
$28$	4.83753	+	0.323057i	0.914207	+	0.0610520i
$29$	2.44930	+	5.08601i	0.454823	+	0.944449i	0.994711	+	0.102713i	$0.0327522\pi$
$29$	2.44930	+	5.08601i	0.454823	+	0.944449i	−0.539888	+	0.841737i	$0.681534\pi$
$30$	−0.637042	+	1.91084i	−0.116308	+	0.348870i
$31$			0.670225i			0.120376i	0.998187	+	0.0601879i	$0.0191700\pi$
$31$			0.670225i			0.120376i	−0.998187	+	0.0601879i	$0.980830\pi$
$32$	−1.89799	−	3.94121i	−0.335520	−	0.696714i
$33$	−6.64633	+	2.43667i	−1.15698	+	0.424170i
$34$	−2.13036	+	0.486240i	−0.365353	+	0.0833895i
$35$	−2.15743	+	7.20125i	−0.364672	+	1.21723i
$36$	−4.19474	+	3.55334i	−0.699123	+	0.592223i
$37$	−6.37330	+	3.06922i	−1.04776	+	0.504577i	−0.876878	−	0.480714i	$-0.840378\pi$
$37$	−6.37330	+	3.06922i	−1.04776	+	0.504577i	−0.170887	+	0.985291i	$0.554663\pi$
$38$	0.401625	−	1.75963i	0.0651522	−	0.285450i
$39$	7.82785	−	2.86983i	1.25346	−	0.459541i
$40$	4.34512	−	0.991745i	0.687023	−	0.156809i
$41$	−4.48934	+	5.62946i	−0.701117	+	0.879173i	−0.997106	−	0.0760180i	$-0.975779\pi$
$41$	−4.48934	+	5.62946i	−0.701117	+	0.879173i	0.295989	+	0.955191i	$0.404351\pi$
$42$	1.39322	−	1.25568i	0.214979	−	0.193755i
$43$	3.55967	+	4.46368i	0.542844	+	0.680705i	0.975283	−	0.220958i	$-0.0709183\pi$
$43$	3.55967	+	4.46368i	0.542844	+	0.680705i	−0.432439	+	0.901663i	$0.642347\pi$
$44$	5.85545	+	4.66956i	0.882742	+	0.703963i
$45$	−3.92415	−	7.56703i	−0.584978	−	1.12803i
$46$	−0.159050	+	0.199442i	−0.0234506	+	0.0294061i
$47$	−0.622897	+	2.72909i	−0.0908589	+	0.398079i	−0.999823	−	0.0187947i	$-0.994017\pi$
$47$	−0.622897	+	2.72909i	−0.0908589	+	0.398079i	0.908964	+	0.416874i	$0.136874\pi$
$48$	4.96718	+	1.65598i	0.716951	+	0.239020i
$49$	5.05339	−	4.84389i	0.721913	−	0.691984i
$50$			1.25782i			0.177882i
$51$	4.80342	−	7.90189i	0.672614	−	1.10649i
$52$	−6.89637	−	5.49967i	−0.956354	−	0.762667i
$53$	1.18390	−	2.45839i	0.162621	−	0.337686i	−0.803696	−	0.595040i	$-0.797136\pi$
$53$	1.18390	−	2.45839i	0.162621	−	0.337686i	0.966317	+	0.257354i	$0.0828506\pi$
$54$	−0.144060	+	2.12182i	−0.0196041	+	0.288743i
$55$	−9.07909	+	7.24034i	−1.22422	+	0.976287i
$56$	−3.97549	−	1.19102i	−0.531247	−	0.159157i
$57$	4.15900	+	6.40650i	0.550873	+	0.848562i
$58$	−0.514119	−	2.25250i	−0.0675072	−	0.295768i
$59$	−3.41991	−	4.28844i	−0.445235	−	0.558307i	0.507680	−	0.861546i	$-0.330503\pi$
$59$	−3.41991	−	4.28844i	−0.445235	−	0.558307i	−0.952915	+	0.303239i	$0.901932\pi$
$60$	−4.68446	+	7.70619i	−0.604762	+	0.994865i
$61$	−1.93142	−	4.01064i	−0.247293	−	0.513510i	0.739963	−	0.672648i	$-0.234843\pi$
$61$	−1.93142	−	4.01064i	−0.247293	−	0.513510i	−0.987256	+	0.159138i	$0.949129\pi$
$62$	0.0610403	−	0.267435i	0.00775212	−	0.0339643i
$63$	−0.294216	+	7.93180i	−0.0370677	+	0.999313i
$64$	−0.946955	−	4.14888i	−0.118369	−	0.518610i
$65$	10.6931	−	8.52745i	1.32631	−	1.05770i
$66$	2.87396	−	0.366976i	0.353760	−	0.0451716i
$67$	3.62438			0.442788			0.221394	−	0.975184i	$-0.428939\pi$
$67$	3.62438			0.442788			0.221394	+	0.975184i	$0.428939\pi$
$68$	−9.78353			−1.18643
$69$	−0.136736	−	1.07085i	−0.0164611	−	0.128915i
$70$	1.51671	−	2.67698i	0.181282	−	0.319960i
$71$	2.32168	−	4.82103i	0.275533	−	0.572150i	−0.716579	−	0.697506i	$-0.754293\pi$
$71$	2.32168	−	4.82103i	0.275533	−	0.572150i	0.992112	+	0.125356i	$0.0400072\pi$
$72$	4.17742	−	2.16635i	0.492314	−	0.255307i
$73$	−10.7798	+	2.46042i	−1.26168	+	0.287970i	−0.800498	−	0.599336i	$-0.795431\pi$
$73$	−10.7798	+	2.46042i	−1.26168	+	0.287970i	−0.461181	+	0.887306i	$0.652574\pi$
$74$	2.82262	−	0.644245i	0.328123	−	0.0748919i
$75$	−3.81920	−	3.70777i	−0.441003	−	0.428136i
$76$	3.50622	−	7.28073i	0.402191	−	0.835157i
$77$	10.6790	−	1.69837i	1.21699	−	0.193547i
$78$	−3.38486	+	0.432213i	−0.383260	+	0.0489385i
$79$	10.8198			1.21733			0.608663	−	0.793429i	$-0.291706\pi$
$79$	10.8198			1.21733			0.608663	+	0.793429i	$0.291706\pi$
$80$	8.58931			0.960314
$81$	−6.01798	−	6.69208i	−0.668664	−	0.743565i
$82$	2.30405	−	1.83742i	0.254440	−	0.202909i
$83$	−3.03892	−	13.3144i	−0.333565	−	1.46144i	−0.812173	−	0.583416i	$-0.801716\pi$
$83$	−3.03892	−	13.3144i	−0.333565	−	1.46144i	0.478608	−	0.878029i	$-0.341141\pi$
$84$	7.33248	−	4.09302i	0.800040	−	0.446585i
$85$	3.37558	−	14.7894i	0.366133	−	1.60413i
$86$	−1.01386	−	2.10531i	−0.109328	−	0.227021i
$87$	8.35495	+	5.07883i	0.895745	+	0.544508i
$88$	−3.99707	−	5.01217i	−0.426089	−	0.534299i
$89$	−1.11268	−	4.87497i	−0.117944	−	0.516745i	−0.999040	−	0.0438082i	$-0.986051\pi$
$89$	−1.11268	−	4.87497i	−0.117944	−	0.516745i	0.881096	−	0.472937i	$-0.156806\pi$
$90$	0.876663	+	3.37681i	0.0924084	+	0.355947i
$91$	−12.5774	+	2.00029i	−1.31847	+	0.209687i
$92$	−0.892961	+	0.712112i	−0.0930976	+	0.0742428i
$93$	0.632099	+	0.973681i	0.0655456	+	0.100966i
$94$	0.497101	−	1.03224i	0.0512720	−	0.106467i
$95$	9.79627	+	7.81226i	1.00508	+	0.801521i
$96$	−6.47435	−	3.93564i	−0.660785	−	0.401680i
$97$			12.2081i			1.23955i	0.784781	+	0.619773i	$0.212775\pi$
$97$			12.2081i			1.23955i	−0.784781	+	0.619773i	$0.787225\pi$
$98$	−2.45757	+	1.47259i	−0.248252	+	0.148754i
$99$	−7.35752	+	9.80817i	−0.739459	+	0.985758i
$100$	−1.25315	+	5.49041i	−0.125315	+	0.549041i
$101$	−3.52066	+	4.41477i	−0.350319	+	0.439286i	−0.925504	−	0.378737i	$-0.876358\pi$
$101$	−3.52066	+	4.41477i	−0.350319	+	0.439286i	0.575186	+	0.818023i	$0.304930\pi$
$102$	−2.63634	+	2.71557i	−0.261036	+	0.268881i
$103$	4.77565	+	3.80845i	0.470559	+	0.375258i	0.829867	−	0.557961i	$-0.188416\pi$
$103$	4.77565	+	3.80845i	0.470559	+	0.375258i	−0.359309	+	0.933219i	$0.616987\pi$
$104$	4.70762	+	5.90317i	0.461621	+	0.578854i
$105$	3.65735	+	12.4964i	0.356921	+	1.21953i
$106$	−0.696299	+	0.873131i	−0.0676305	+	0.0848060i
$107$	−17.2272	+	3.93200i	−1.66542	+	0.380121i	−0.948435	−	0.316971i	$-0.897334\pi$
$107$	−17.2272	+	3.93200i	−1.66542	+	0.380121i	−0.716982	+	0.697092i	$0.754477\pi$
$108$	−2.74278	+	9.11830i	−0.263924	+	0.877408i
$109$	1.61466	−	7.07427i	0.154656	−	0.677592i	−0.836839	−	0.547449i	$-0.815599\pi$
$109$	1.61466	−	7.07427i	0.154656	−	0.677592i	0.991495	−	0.130143i	$-0.0415438\pi$
$110$	4.28218	−	2.06219i	0.408289	−	0.196622i
$111$	−6.36430	+	10.4696i	−0.604073	+	0.993732i
$112$	−6.95875	−	3.94267i	−0.657540	−	0.372547i
$113$	−5.08674	+	1.16102i	−0.478520	+	0.109219i	−0.454976	−	0.890504i	$-0.650352\pi$
$113$	−5.08674	+	1.16102i	−0.478520	+	0.109219i	−0.0235442	+	0.999723i	$0.507495\pi$
$114$	−1.07607	−	2.93512i	−0.100783	−	0.274899i
$115$	−0.768378	−	1.59555i	−0.0716516	−	0.148786i
$116$		−	10.3445i		−	0.960461i
$117$	8.66546	−	11.5518i	0.801122	−	1.06796i
$118$	0.974057	+	2.02265i	0.0896693	+	0.186200i
$119$	−9.52341	+	10.4324i	−0.873009	+	0.956334i
$120$	5.37712	−	5.53872i	0.490862	−	0.505613i
$121$	5.13886	+	2.47474i	0.467169	+	0.224977i
$122$	0.405415	+	1.77624i	0.0367046	+	0.160813i
$123$	−1.21275	+	12.4123i	−0.109350	+	1.11918i
$124$	0.532886	−	1.10655i	0.0478546	−	0.0993711i
$125$	4.93251	+	2.37537i	0.441177	+	0.212460i
$126$	0.839782	−	3.13817i	0.0748138	−	0.279571i
$127$	−2.56853	+	1.23694i	−0.227920	+	0.109760i	−0.544359	−	0.838852i	$-0.683227\pi$
$127$	−2.56853	+	1.23694i	−0.227920	+	0.109760i	0.316439	+	0.948613i	$0.397513\pi$
$128$			10.4906i			0.927244i
$129$	9.38114	+	3.12752i	0.825963	+	0.275363i
$130$	−5.04342	+	2.42878i	−0.442337	+	0.213018i
$131$	0.740642	+	0.928736i	0.0647102	+	0.0811440i	0.813133	−	0.582078i	$-0.197760\pi$
$131$	0.740642	+	0.928736i	0.0647102	+	0.0811440i	−0.748423	+	0.663222i	$0.769189\pi$
$132$	12.9105	+	1.26143i	1.12372	+	0.109794i
$133$	−4.35060	−	10.8259i	−0.377245	−	0.938725i
$134$	−1.44621	−	0.330088i	−0.124933	−	0.0285152i
$135$	−12.8375	−	7.29221i	−1.10487	−	0.627614i
$136$	8.16457	+	1.86351i	0.700106	+	0.159795i
$137$	−15.0370	+	11.9916i	−1.28469	+	1.02451i	−0.286912	+	0.957957i	$0.592629\pi$
$137$	−15.0370	+	11.9916i	−1.28469	+	1.02451i	−0.997783	+	0.0665531i	$0.978800\pi$
$138$	−0.0429657	+	0.439745i	−0.00365748	+	0.0374336i
$139$	−3.98228	−	3.17576i	−0.337773	−	0.269365i	0.439883	−	0.898055i	$-0.355020\pi$
$139$	−3.98228	−	3.17576i	−0.337773	−	0.269365i	−0.777656	+	0.628690i	$0.783591\pi$
$140$	9.28756	−	10.1740i	0.784942	−	0.859861i
$141$	1.66892	+	4.55220i	0.140548	+	0.383364i
$142$	−1.36548	+	1.71225i	−0.114588	+	0.143689i
$143$	−17.7249	−	8.53584i	−1.48223	−	0.713803i
$144$	8.77794	−	2.27887i	0.731495	−	0.189906i
$145$	15.6374	+	3.56913i	1.29861	+	0.296400i
$146$	4.52546			0.374530
$147$	2.77307	−	11.8030i	0.228719	−	0.973493i
$148$	12.9627			1.06553
$149$	5.14309	+	1.17388i	0.421339	+	0.0961678i	0.427933	−	0.903810i	$-0.359242\pi$
$149$	5.14309	+	1.17388i	0.421339	+	0.0961678i	−0.00659430	+	0.999978i	$0.502099\pi$
$150$	1.18626	+	1.82732i	0.0968581	+	0.149200i
$151$	12.0965	+	5.82537i	0.984400	+	0.474062i	0.855616	−	0.517611i	$-0.173178\pi$
$151$	12.0965	+	5.82537i	0.984400	+	0.474062i	0.128784	+	0.991673i	$0.458893\pi$
$152$	−4.31280	+	5.40809i	−0.349815	+	0.438654i
$153$	−0.474127	−	16.0098i	−0.0383309	−	1.29431i
$154$	−4.41585	−	0.294897i	−0.355839	−	0.0237634i
$155$	1.48887	+	1.18733i	0.119589	+	0.0953689i
$156$	−15.2056	−	1.48568i	−1.21743	−	0.118950i
$157$	−4.55600	+	3.63329i	−0.363608	+	0.289968i	−0.788203	−	0.615416i	$-0.788988\pi$
$157$	−4.55600	+	3.63329i	−0.363608	+	0.289968i	0.424594	+	0.905384i	$0.360417\pi$
$158$	−4.31736	−	0.985409i	−0.343471	−	0.0783949i
$159$	−0.598614	−	4.68802i	−0.0474732	−	0.371784i
$160$	−12.1176	−	2.76575i	−0.957978	−	0.218652i
$161$	−0.109879	+	1.64536i	−0.00865971	+	0.129673i
$162$	1.79183	+	3.21838i	0.140780	+	0.252860i
$163$	−8.05264	−	10.0977i	−0.630731	−	0.790912i	0.359079	−	0.933307i	$-0.383091\pi$
$163$	−8.05264	−	10.0977i	−0.630731	−	0.790912i	−0.989810	+	0.142395i	$0.954520\pi$
$164$	11.8879	−	5.72489i	0.928286	−	0.447039i
$165$	−6.36135	+	19.0812i	−0.495231	+	1.48547i
$166$			5.58952i			0.433831i
$167$	−0.382087	+	0.184003i	−0.0295667	+	0.0142386i	−0.448609	−	0.893728i	$-0.648080\pi$
$167$	−0.382087	+	0.184003i	−0.0295667	+	0.0142386i	0.419042	+	0.907967i	$0.362366\pi$
$168$	−6.89873	+	2.01906i	−0.532249	+	0.155774i
$169$	9.16320	+	4.41276i	0.704861	+	0.339443i
$170$	−2.69387	+	5.59388i	−0.206610	+	0.429031i
$171$	12.0841	+	5.38474i	0.924096	+	0.411782i
$172$	−2.32805	−	10.1998i	−0.177512	−	0.777731i
$173$	15.4716	+	7.45075i	1.17629	+	0.566470i	0.916827	−	0.399284i	$-0.130741\pi$
$173$	15.4716	+	7.45075i	1.17629	+	0.566470i	0.259460	+	0.965754i	$0.416455\pi$
$174$	−2.87127	−	2.78749i	−0.217670	−	0.211319i
$175$	4.63471	+	6.68070i	0.350351	+	0.505013i
$176$	−5.36062	−	11.1314i	−0.404072	−	0.839063i
$177$	−9.01283	−	3.00473i	−0.677446	−	0.225850i
$178$			2.04656i			0.153396i
$179$	3.82768	+	7.94827i	0.286095	+	0.594082i	0.993642	−	0.112584i	$-0.0359128\pi$
$179$	3.82768	+	7.94827i	0.286095	+	0.594082i	−0.707548	+	0.706666i	$0.750199\pi$
$180$	0.462385	+	15.6133i	0.0344641	+	1.16375i
$181$	−4.74050	+	1.08199i	−0.352359	+	0.0804236i	−0.395037	−	0.918665i	$-0.629268\pi$
$181$	−4.74050	+	1.08199i	−0.352359	+	0.0804236i	0.0426781	+	0.999089i	$0.486411\pi$
$182$	5.20085	+	0.347320i	0.385513	+	0.0257451i
$183$	−6.58840	−	4.00498i	−0.487029	−	0.296057i
$184$	0.880834	−	0.424187i	0.0649360	−	0.0312715i
$185$	−4.47248	+	19.5952i	−0.328824	+	1.44067i
$186$	−0.163544	−	0.446089i	−0.0119917	−	0.0327088i
$187$	−21.2732	+	4.85548i	−1.55565	+	0.355068i
$188$	3.19827	−	4.01051i	0.233258	−	0.292496i
$189$	7.05317	+	11.8005i	0.513043	+	0.858363i
$190$	−3.19744	−	4.00946i	−0.231967	−	0.290877i
$191$	−0.993492	−	0.792283i	−0.0718865	−	0.0573276i	0.586887	−	0.809669i	$-0.300353\pi$
$191$	−0.993492	−	0.792283i	−0.0718865	−	0.0573276i	−0.658774	+	0.752341i	$0.728925\pi$
$192$	−5.28858	−	5.13427i	−0.381670	−	0.370534i
$193$	6.94730	−	8.71164i	0.500078	−	0.627078i	−0.466169	−	0.884696i	$-0.654366\pi$
$193$	6.94730	−	8.71164i	0.500078	−	0.627078i	0.966247	+	0.257618i	$0.0829376\pi$
$194$	1.11185	−	4.87132i	0.0798259	−	0.349740i
$195$	7.49220	−	22.4732i	0.536528	−	1.60934i
$196$	−12.1945	+	3.97944i	−0.871037	+	0.284245i
$197$		−	17.7022i		−	1.26123i	−0.776096	−	0.630614i	$-0.782803\pi$
$197$		−	17.7022i		−	1.26123i	0.776096	−	0.630614i	$-0.217197\pi$
$198$	3.82909	−	3.24360i	0.272122	−	0.230513i
$199$	−5.25273	−	4.18891i	−0.372356	−	0.296944i	0.419376	−	0.907813i	$-0.362249\pi$
$199$	−5.25273	−	4.18891i	−0.372356	−	0.296944i	−0.791732	+	0.610869i	$0.790820\pi$
$200$	2.09156	−	4.34318i	0.147896	−	0.307109i
$201$	5.26538	−	3.41820i	0.371391	−	0.241101i
$202$	1.80690	−	1.44095i	0.127133	−	0.101385i
$203$	−11.0305	−	10.0694i	−0.774191	−	0.706736i
$204$	−14.2132	+	9.22699i	−0.995123	+	0.646018i
$205$	4.55247	+	19.9457i	0.317958	+	1.39307i
$206$	−1.55874	−	1.95460i	−0.108603	−	0.136183i
$207$	−1.20858	−	1.42673i	−0.0840019	−	0.0991648i
$208$	6.31357	+	13.1103i	0.437767	+	0.909033i
$209$	4.01053	−	17.5713i	0.277414	−	1.21543i
$210$	−0.321262	−	5.31946i	−0.0221692	−	0.367078i
$211$	−1.22881	−	5.38379i	−0.0845951	−	0.370635i	0.914855	−	0.403782i	$-0.132304\pi$
$211$	−1.22881	−	5.38379i	−0.0845951	−	0.370635i	−0.999451	+	0.0331463i	$0.989447\pi$
$212$	−3.90926	+	3.11753i	−0.268489	+	0.214113i
$213$	−1.17391	−	9.19345i	−0.0804351	−	0.629925i
$214$	7.23216			0.494380
$215$	16.2220			1.10633
$216$	4.02571	−	7.08699i	0.273915	−	0.482209i
$217$	−0.661218	−	1.64536i	−0.0448864	−	0.111694i
$218$	−1.28857	+	2.67574i	−0.0872729	+	0.181224i
$219$	−13.3401	+	13.7410i	−0.901439	+	0.928530i
$220$	20.7464	−	4.73523i	1.39872	−	0.319249i
$221$	25.0550	−	5.71863i	1.68538	−	0.384677i
$222$	3.49302	−	3.59799i	0.234436	−	0.241482i
$223$	−3.33669	+	6.92871i	−0.223441	+	0.463981i	−0.982310	−	0.187263i	$-0.940038\pi$
$223$	−3.33669	+	6.92871i	−0.223441	+	0.463981i	0.758868	+	0.651244i	$0.225753\pi$
$224$	8.54768	+	7.80292i	0.571116	+	0.521355i
$225$	−9.04526	−	1.78458i	−0.603017	−	0.118972i
$226$	2.13546			0.142049
$227$	−16.5688			−1.09971			−0.549854	−	0.835261i	$-0.685316\pi$
$227$	−16.5688			−1.09971			−0.549854	+	0.835261i	$0.685316\pi$
$228$	−1.77285	−	13.8840i	−0.117410	−	0.919489i
$229$	9.89766	−	7.89312i	0.654056	−	0.521592i	−0.239298	−	0.970946i	$-0.576917\pi$
$229$	9.89766	−	7.89312i	0.654056	−	0.521592i	0.893354	+	0.449354i	$0.148346\pi$
$230$	0.161286	+	0.706642i	0.0106349	+	0.0465946i
$231$	13.9124	−	12.5389i	0.915367	−	0.824997i
$232$	−1.97036	+	8.63269i	−0.129360	+	0.566764i
$233$	−10.0534	−	20.8760i	−0.658618	−	1.36763i	−0.915943	−	0.401309i	$-0.868556\pi$
$233$	−10.0534	−	20.8760i	−0.658618	−	1.36763i	0.257325	−	0.966325i	$-0.417159\pi$
$234$	−4.50979	+	3.82021i	−0.294814	+	0.249735i
$235$	4.95905	+	6.21845i	0.323492	+	0.405647i
$236$	2.23665	+	9.79939i	0.145593	+	0.637886i
$237$	15.7187	−	10.2043i	1.02104	−	0.662843i
$238$	4.75018	−	3.29542i	0.307908	−	0.213610i
$239$	12.6865	−	10.1171i	0.820621	−	0.654423i	−0.120418	−	0.992723i	$-0.538423\pi$
$239$	12.6865	−	10.1171i	0.820621	−	0.654423i	0.941038	+	0.338300i	$0.109852\pi$
$240$	12.4783	−	8.10070i	0.805469	−	0.522898i
$241$	−9.70962	+	20.1622i	−0.625451	+	1.29876i	0.311813	+	0.950144i	$0.399064\pi$
$241$	−9.70962	+	20.1622i	−0.625451	+	1.29876i	−0.937264	+	0.348620i	$0.886650\pi$
$242$	−1.82514	−	1.45550i	−0.117324	−	0.0935629i
$243$	−15.0541	−	4.04640i	−0.965723	−	0.259577i
$244$			8.15727i			0.522216i
$245$	−1.80812	−	19.8070i	−0.115517	−	1.26542i
$246$	1.61435	−	4.84232i	0.102927	−	0.308735i
$247$	−4.72348	+	20.6949i	−0.300548	+	1.31679i
$248$	−0.655474	+	0.821939i	−0.0416227	+	0.0521932i
$249$	−16.9719	−	16.4767i	−1.07555	−	1.04417i
$250$	−1.75185	−	1.39705i	−0.110797	−	0.0883573i
$251$	2.43451	+	3.05278i	0.153665	+	0.192690i	0.852705	−	0.522393i	$-0.174961\pi$
$251$	2.43451	+	3.05278i	0.153665	+	0.192690i	−0.699040	+	0.715083i	$0.746389\pi$
$252$	6.79222	−	12.8616i	0.427869	−	0.810203i
$253$	−1.58823	+	1.99158i	−0.0998513	+	0.125210i
$254$	1.13755	−	0.259639i	0.0713765	−	0.0162912i
$255$	−9.04415	−	24.6691i	−0.566367	−	1.54484i
$256$	−0.938488	+	4.11178i	−0.0586555	+	0.256987i
$257$	−7.16060	+	3.44836i	−0.446666	+	0.215103i	−0.643675	−	0.765299i	$-0.722591\pi$
$257$	−7.16060	+	3.44836i	−0.446666	+	0.215103i	0.197010	+	0.980402i	$0.436877\pi$
$258$	−3.45845	−	2.10233i	−0.215314	−	0.130886i
$259$	12.6181	−	13.8224i	0.784048	−	0.858881i
$260$	−24.4345	+	5.57701i	−1.51536	+	0.345871i
$261$	16.9277	−	0.501312i	1.04780	−	0.0310304i
$262$	−0.210949	−	0.438040i	−0.0130325	−	0.0270622i
$263$			30.0266i			1.85152i	0.378111	+	0.925760i	$0.376574\pi$
$263$			30.0266i			1.85152i	−0.378111	+	0.925760i	$0.623426\pi$
$264$	−10.5339	−	3.51182i	−0.648314	−	0.216138i
$265$	−3.36386	−	6.98512i	−0.206640	−	0.429092i
$266$	0.750025	+	4.71601i	0.0459870	+	0.289157i
$267$	−6.21412	−	6.03281i	−0.380298	−	0.369202i
$268$	−5.98389	−	2.88169i	−0.365524	−	0.176027i
$269$	7.10780	+	31.1413i	0.433370	+	1.89872i	0.438500	+	0.898731i	$0.355510\pi$
$269$	7.10780	+	31.1413i	0.433370	+	1.89872i	−0.00512993	+	0.999987i	$0.501633\pi$
$270$	4.45830	+	4.07892i	0.271324	+	0.248235i
$271$	−2.96359	+	6.15395i	−0.180025	+	0.373826i	−0.971380	−	0.237531i	$-0.923662\pi$
$271$	−2.96359	+	6.15395i	−0.180025	+	0.373826i	0.791355	+	0.611357i	$0.209376\pi$
$272$	14.5412	+	7.00266i	0.881688	+	0.424599i
$273$	−16.3856	+	14.7679i	−0.991700	+	0.893794i
$274$	7.09222	−	3.41543i	0.428457	−	0.206334i
$275$			12.5602i			0.757412i
$276$	−0.625661	+	1.87670i	−0.0376604	+	0.112964i
$277$	−1.92530	+	0.927176i	−0.115680	+	0.0557086i	−0.490829	−	0.871256i	$-0.663306\pi$
$277$	−1.92530	+	0.927176i	−0.115680	+	0.0557086i	0.375149	+	0.926965i	$0.377592\pi$
$278$	1.29979	+	1.62989i	0.0779563	+	0.0977541i
$279$	1.83659	+	0.818391i	0.109953	+	0.0489958i
$280$	−9.68855	+	6.72139i	−0.579002	+	0.401680i
$281$	0.458367	+	0.104619i	0.0273439	+	0.00624106i	0.236171	−	0.971712i	$-0.424107\pi$
$281$	0.458367	+	0.104619i	0.0273439	+	0.00624106i	−0.208827	+	0.977953i	$0.566965\pi$
$282$	−0.251349	−	1.96843i	−0.0149676	−	0.117218i
$283$	9.41080	+	2.14795i	0.559414	+	0.127683i	0.492873	−	0.870101i	$-0.335947\pi$
$283$	9.41080	+	2.14795i	0.559414	+	0.127683i	0.0665408	+	0.997784i	$0.478804\pi$
$284$	−7.66626	+	6.11364i	−0.454909	+	0.362778i
$285$	21.5996	+	2.11040i	1.27945	+	0.125009i
$286$	6.29523	+	5.02028i	0.372245	+	0.296855i
$287$	5.46723	−	18.2489i	0.322720	−	1.07720i
$288$	−13.1175	+	0.388472i	−0.772955	+	0.0228909i
$289$	7.17278	−	8.99438i	0.421928	−	0.529081i
$290$	−5.91461	−	2.84833i	−0.347318	−	0.167259i
$291$	11.5136	+	17.7356i	0.674942	+	1.03968i
$292$	19.7538	+	4.50868i	1.15600	+	0.263850i
$293$	−13.4354			−0.784902			−0.392451	−	0.919773i	$-0.628373\pi$
$293$	−13.4354			−0.784902			−0.392451	+	0.919773i	$0.628373\pi$
$294$	−2.18147	+	4.45710i	−0.127226	+	0.259943i
$295$	−15.5851			−0.907398
$296$	−10.8177	−	2.46906i	−0.628764	−	0.143511i
$297$	−1.43855	+	21.1880i	−0.0834730	+	1.22945i
$298$	−1.94530	−	0.936808i	−0.112688	−	0.0542678i
$299$	1.87057	−	2.34562i	0.108178	−	0.135651i
$300$	3.35755	+	9.15816i	0.193848	+	0.528747i
$301$	−13.1424	−	7.44621i	−0.757518	−	0.429193i
$302$	−4.29624	−	3.42614i	−0.247221	−	0.197152i
$303$	−0.951070	+	9.73402i	−0.0546376	+	0.559205i
$304$	−10.4225	+	8.31168i	−0.597772	+	0.476708i
$305$	−12.3310	−	2.81448i	−0.706073	−	0.161157i
$306$	−1.26889	+	6.43145i	−0.0725378	+	0.367662i
$307$	19.1504	+	4.37095i	1.09297	+	0.249464i	0.730761	−	0.682633i	$-0.239165\pi$
$307$	19.1504	+	4.37095i	1.09297	+	0.249464i	0.362210	+	0.932097i	$0.382022\pi$
$308$	−18.9815	−	5.68671i	−1.08157	−	0.324030i
$309$	10.5297	+	1.02881i	0.599015	+	0.0585272i
$310$	−0.485957	−	0.609371i	−0.0276005	−	0.0346100i
$311$	21.0813	−	10.1522i	1.19541	−	0.575679i	0.273046	−	0.962001i	$-0.411969\pi$
$311$	21.0813	−	10.1522i	1.19541	−	0.575679i	0.922364	+	0.386322i	$0.126255\pi$
$312$	12.4065	+	4.13611i	0.702377	+	0.234161i
$313$		−	30.9080i		−	1.74703i	−0.486802	−	0.873513i	$-0.661837\pi$
$313$		−	30.9080i		−	1.74703i	0.486802	−	0.873513i	$-0.338163\pi$
$314$	2.14885	−	1.03483i	0.121266	−	0.0583988i
$315$	17.0989	+	14.7051i	0.963412	+	0.828540i
$316$	−17.8637	−	8.60269i	−1.00491	−	0.483939i
$317$	5.27524	−	10.9542i	0.296287	−	0.615247i	−0.698681	−	0.715433i	$-0.746230\pi$
$317$	5.27524	−	10.9542i	0.296287	−	0.615247i	0.994969	+	0.100186i	$0.0319438\pi$
$318$	−0.188098	+	1.92515i	−0.0105480	+	0.107957i
$319$	−5.13387	−	22.4930i	−0.287442	−	1.25936i
$320$	−10.8941	−	5.24632i	−0.608999	−	0.293278i
$321$	−21.3188	+	21.9595i	−1.18990	+	1.22566i
$322$	0.193695	−	0.646530i	0.0107942	−	0.0360297i
$323$	10.2153	+	21.2124i	0.568397	+	1.18029i
$324$	4.61498	+	15.8335i	0.256388	+	0.879640i
$325$		−	14.7931i		−	0.820572i
$326$	2.29355	+	4.76260i	0.127028	+	0.263776i
$327$	−4.32613	−	11.8001i	−0.239235	−	0.652546i
$328$	−11.0111	+	2.51322i	−0.607988	+	0.138769i
$329$	−1.16325	−	7.31426i	−0.0641318	−	0.403248i
$330$	4.27613	−	7.03446i	0.235393	−	0.387234i
$331$	24.4310	−	11.7654i	1.34285	−	0.646683i	0.382107	−	0.924118i	$-0.375199\pi$
$331$	24.4310	−	11.7654i	1.34285	−	0.646683i	0.960744	+	0.277435i	$0.0894844\pi$
$332$	−5.56879	+	24.3984i	−0.305627	+	1.33904i
$333$	0.628195	+	21.2122i	0.0344249	+	1.16242i
$334$	0.169219	−	0.0386232i	0.00925927	−	0.00211337i
$335$	6.42075	−	8.05136i	0.350803	−	0.439893i
$336$	−13.8278	+	0.835114i	−0.754370	+	0.0455592i
$337$	8.68729	+	10.8935i	0.473227	+	0.593408i	0.959958	−	0.280144i	$-0.0903822\pi$
$337$	8.68729	+	10.8935i	0.473227	+	0.593408i	−0.486731	+	0.873552i	$0.661811\pi$
$338$	−3.25444	−	2.59533i	−0.177018	−	0.141167i
$339$	−6.29488	+	6.48406i	−0.341891	+	0.352166i
$340$	−17.3320	+	21.7336i	−0.939958	+	1.17867i
$341$	0.609534	−	2.67054i	0.0330081	−	0.144618i
$342$	−4.33143	−	3.24919i	−0.234217	−	0.175696i
$343$	−7.62695	+	16.8769i	−0.411816	+	0.911267i
$344$			8.95543i			0.482844i
$345$	−2.62106	−	1.59330i	−0.141113	−	0.0857804i
$346$	−5.49497	−	4.38209i	−0.295411	−	0.235583i
$347$	5.85254	−	12.1529i	0.314181	−	0.652403i	−0.682753	−	0.730649i	$-0.739218\pi$
$347$	5.85254	−	12.1529i	0.314181	−	0.652403i	0.996934	+	0.0782456i	$0.0249318\pi$
$348$	−9.75603	−	15.0281i	−0.522978	−	0.805592i
$349$	9.00258	−	7.17932i	0.481897	−	0.384300i	−0.352194	−	0.935927i	$-0.614564\pi$
$349$	9.00258	−	7.17932i	0.481897	−	0.384300i	0.834091	+	0.551627i	$0.185993\pi$
$350$	−1.24091	−	3.08785i	−0.0663296	−	0.165053i
$351$	1.69428	−	24.9546i	0.0904338	−	1.33198i
$352$	3.97829	+	17.4300i	0.212044	+	0.929025i
$353$	−8.63978	−	10.8339i	−0.459849	−	0.576633i	0.496804	−	0.867863i	$-0.334507\pi$
$353$	−8.63978	−	10.8339i	−0.459849	−	0.576633i	−0.956653	+	0.291230i	$0.905935\pi$
$354$	3.32267	+	2.01979i	0.176598	+	0.107351i
$355$	−6.59669	−	13.6982i	−0.350116	−	0.727023i
$356$	−2.03897	+	8.93331i	−0.108065	+	0.473464i
$357$	−3.99638	+	24.1375i	−0.211511	+	1.27749i
$358$	−0.803450	−	3.52015i	−0.0424637	−	0.186045i
$359$	19.9540	−	15.9128i	1.05313	−	0.839845i	0.0656925	−	0.997840i	$-0.479074\pi$
$359$	19.9540	−	15.9128i	1.05313	−	0.839845i	0.987440	+	0.157995i	$0.0505029\pi$
$360$	2.58806	−	13.1177i	0.136403	−	0.691364i
$361$	−0.446842			−0.0235180
$362$	1.99011			0.104598
$363$	9.79953	−	1.25130i	0.514342	−	0.0656764i
$364$	22.3559	+	6.69763i	1.17177	+	0.351051i
$365$	−13.6312	+	28.3055i	−0.713490	+	1.48158i
$366$	2.26417	+	2.19811i	0.118350	+	0.114897i
$367$	−25.1257	+	5.73479i	−1.31155	+	0.299353i	−0.820435	−	0.571740i	$-0.806269\pi$
$367$	−25.1257	+	5.73479i	−1.31155	+	0.299353i	−0.491118	+	0.871093i	$0.663412\pi$
$368$	1.83690	−	0.419261i	0.0957551	−	0.0218555i
$369$	9.94434	+	19.1759i	0.517681	+	0.998257i
$370$	3.56925	−	7.41162i	0.185556	−	0.385312i
$371$	−0.481037	+	7.20317i	−0.0249742	+	0.373970i
$372$	−0.269443	−	2.11013i	−0.0139700	−	0.109405i
$373$	6.22580			0.322360			0.161180	−	0.986925i	$-0.448470\pi$
$373$	6.22580			0.322360			0.161180	+	0.986925i	$0.448470\pi$
$374$	8.93072			0.461796
$375$	9.40604	−	1.20106i	0.485726	−	0.0620223i
$376$	−3.43293	+	2.73767i	−0.177040	+	0.141184i
$377$	6.04652	+	26.4915i	0.311411	+	1.36438i
$378$	−1.73965	−	5.35105i	−0.0894779	−	0.275228i
$379$	−6.26247	+	27.4377i	−0.321682	+	1.40938i	0.512878	+	0.858462i	$0.328579\pi$
$379$	−6.26247	+	27.4377i	−0.321682	+	1.40938i	−0.834560	+	0.550918i	$0.814278\pi$
$380$	−9.96235	−	20.6870i	−0.511058	−	1.06122i
$381$	−2.56490	+	4.21940i	−0.131404	+	0.216166i
$382$	0.324269	+	0.406621i	0.0165911	+	0.0208045i
$383$	0.520698	+	2.28133i	0.0266064	+	0.116570i	0.986487	−	0.163838i	$-0.0523874\pi$
$383$	0.520698	+	2.28133i	0.0266064	+	0.116570i	−0.959881	+	0.280408i	$0.909530\pi$
$384$	9.89381	+	15.2404i	0.504891	+	0.777731i
$385$	15.1455	−	26.7316i	0.771888	−	1.36237i
$386$	−3.56554	+	2.84342i	−0.181481	+	0.144726i
$387$	16.5782	−	4.30393i	0.842719	−	0.218781i
$388$	9.70650	−	20.1557i	0.492773	−	1.02325i
$389$	−20.1598	−	16.0769i	−1.02214	−	0.815130i	−0.0392330	−	0.999230i	$-0.512491\pi$
$389$	−20.1598	−	16.0769i	−1.02214	−	0.815130i	−0.982907	+	0.184100i	$0.941063\pi$
$390$	−5.03629	+	8.28497i	−0.255023	+	0.419526i
$391$		−	3.32762i		−	0.168285i
$392$	10.9346	−	0.998186i	0.552279	−	0.0504160i
$393$	1.95189	+	0.650727i	0.0984596	+	0.0328249i
$394$	−1.61222	+	7.06358i	−0.0812223	+	0.355858i
$395$	19.1678	−	24.0357i	0.964438	−	1.20937i
$396$	19.9457	−	10.3435i	1.00231	−	0.519783i
$397$	−3.99779	−	3.18813i	−0.200643	−	0.160008i	0.518014	−	0.855372i	$-0.326671\pi$
$397$	−3.99779	−	3.18813i	−0.200643	−	0.160008i	−0.718657	+	0.695365i	$0.755243\pi$
$398$	1.71446	+	2.14986i	0.0859379	+	0.107763i
$399$	−16.5305	−	11.6244i	−0.827559	−	0.581949i
$400$	5.79237	−	7.26340i	0.289618	−	0.363170i
$401$	−37.5253	+	8.56491i	−1.87393	+	0.427711i	−0.998455	−	0.0555606i	$-0.982305\pi$
$401$	−37.5253	+	8.56491i	−1.87393	+	0.427711i	−0.875470	+	0.483272i	$0.839448\pi$
$402$	−2.41232	+	0.884400i	−0.120315	+	0.0441099i
$403$	−0.717890	+	3.14528i	−0.0357606	+	0.156678i
$404$	9.32278	−	4.48961i	0.463825	−	0.223367i
$405$	−25.5272	+	1.51330i	−1.26846	+	0.0751963i
$406$	3.48436	+	5.02254i	0.172926	+	0.249264i
$407$	28.1860	−	6.43327i	1.39713	−	0.318886i
$408$	13.6187	−	4.99288i	0.674227	−	0.247184i
$409$	−3.14537	−	6.53142i	−0.155528	−	0.322958i	0.808616	−	0.588337i	$-0.200217\pi$
$409$	−3.14537	−	6.53142i	−0.155528	−	0.322958i	−0.964144	+	0.265379i	$0.914503\pi$
$410$		−	8.37340i		−	0.413533i
$411$	−10.5358	+	31.6026i	−0.519692	+	1.55884i
$412$	−4.85661	−	10.0849i	−0.239268	−	0.496845i
$413$	12.6265	+	7.15387i	0.621308	+	0.352019i
$414$	0.352311	+	0.679370i	0.0173151	+	0.0333892i
$415$	−34.9608	−	16.8362i	−1.71616	−	0.826459i
$416$	−4.68551	−	20.5286i	−0.229726	−	1.00650i
$417$	−8.78044	−	0.857900i	−0.429980	−	0.0420115i
$418$	−3.20059	+	6.64609i	−0.156546	+	0.325071i
$419$	−9.00539	−	4.33677i	−0.439942	−	0.211865i	0.200782	−	0.979636i	$-0.435652\pi$
$419$	−9.00539	−	4.33677i	−0.439942	−	0.211865i	−0.640725	+	0.767771i	$0.721366\pi$
$420$	3.89741	−	23.5397i	0.190174	−	1.14862i
$421$	17.7691	−	8.55714i	0.866012	−	0.417049i	0.0525160	−	0.998620i	$-0.483276\pi$
$421$	17.7691	−	8.55714i	0.866012	−	0.417049i	0.813496	+	0.581571i	$0.197562\pi$
$422$			2.26017i			0.110023i
$423$	6.71780	+	5.03931i	0.326631	+	0.245020i
$424$	3.85617	−	1.85704i	0.187272	−	0.0901856i
$425$	−10.2300	−	12.8280i	−0.496228	−	0.622251i
$426$	−0.368870	+	3.77531i	−0.0178718	+	0.182914i
$427$	8.69826	+	7.94039i	0.420938	+	0.384262i
$428$	31.5686	+	7.20533i	1.52593	+	0.348283i
$429$	−33.8004	+	4.31597i	−1.63190	+	0.208377i
$430$	−6.47293	−	1.47740i	−0.312153	−	0.0712468i
$431$	0.231037	−	0.184246i	0.0111286	−	0.00887480i	−0.617910	−	0.786249i	$-0.712020\pi$
$431$	0.231037	−	0.184246i	0.0111286	−	0.00887480i	0.629038	+	0.777374i	$0.283449\pi$
$432$	10.6031	−	11.5893i	0.510141	−	0.557589i
$433$	−11.0551	−	8.81611i	−0.531272	−	0.423675i	0.320763	−	0.947159i	$-0.396061\pi$
$433$	−11.0551	−	8.81611i	−0.531272	−	0.423675i	−0.852036	+	0.523484i	$0.824632\pi$
$434$	0.113991	+	0.716755i	0.00547176	+	0.0344053i
$435$	26.0835	−	9.56271i	1.25061	−	0.458497i
$436$	−8.29047	+	10.3959i	−0.397042	+	0.497874i
$437$	2.47635	+	1.19255i	0.118460	+	0.0570474i
$438$	6.57445	−	4.26803i	0.314139	−	0.203934i
$439$	−5.90804	−	1.34847i	−0.281975	−	0.0643590i	0.0791943	−	0.996859i	$-0.474765\pi$
$439$	−5.90804	−	1.34847i	−0.281975	−	0.0643590i	−0.361169	+	0.932500i	$0.617622\pi$
$440$	−18.2153			−0.868378
$441$	−7.10293	−	19.7623i	−0.338235	−	0.941062i
$442$	−10.5183			−0.500306
$443$	35.1156	+	8.01491i	1.66839	+	0.380800i	0.949363	−	0.314180i	$-0.101730\pi$
$443$	35.1156	+	8.01491i	1.66839	+	0.380800i	0.719029	+	0.694980i	$0.244587\pi$
$444$	18.8318	−	12.2253i	0.893718	−	0.580188i
$445$	−12.8006	−	6.16447i	−0.606809	−	0.292224i
$446$	1.96244	−	2.46083i	0.0929244	−	0.116524i
$447$	8.57883	−	3.14516i	0.405765	−	0.148761i
$448$	6.41784	+	9.25099i	0.303214	+	0.437068i
$449$	−2.66656	−	2.12651i	−0.125843	−	0.100356i	0.558546	−	0.829473i	$-0.311359\pi$
$449$	−2.66656	−	2.12651i	−0.125843	−	0.100356i	−0.684389	+	0.729117i	$0.739931\pi$
$450$	3.44674	+	1.53588i	0.162481	+	0.0724022i
$451$	23.0077	−	18.3480i	1.08339	−	0.863974i
$452$	9.32138	+	2.12754i	0.438441	+	0.100071i
$453$	23.0674	−	2.94548i	1.08380	−	0.138391i
$454$	6.61131	+	1.50899i	0.310284	+	0.0708204i
$455$	−17.8379	+	31.4837i	−0.836256	+	1.47598i
$456$	−1.16506	+	11.9242i	−0.0545589	+	0.558400i
$457$	−25.0019	−	31.3514i	−1.16954	−	1.46656i	−0.855996	−	0.516982i	$-0.827055\pi$
$457$	−25.0019	−	31.3514i	−1.16954	−	1.46656i	−0.313543	−	0.949574i	$-0.601516\pi$
$458$	−4.66825	+	2.24811i	−0.218133	+	0.105047i
$459$	−15.7879	−	22.8114i	−0.736914	−	1.06474i
$460$			3.24521i			0.151308i
$461$	−15.2938	+	7.36511i	−0.712304	+	0.343027i	−0.754697	−	0.656074i	$-0.772216\pi$
$461$	−15.2938	+	7.36511i	−0.712304	+	0.343027i	0.0423931	+	0.999101i	$0.486502\pi$
$462$	−6.69333	+	3.73624i	−0.311402	+	0.173825i
$463$	8.26682	+	3.98109i	0.384192	+	0.185017i	0.616003	−	0.787744i	$-0.288751\pi$
$463$	8.26682	+	3.98109i	0.384192	+	0.185017i	−0.231811	+	0.972761i	$0.574465\pi$
$464$	−7.40417	+	15.3749i	−0.343730	+	0.713762i
$465$	3.28277	+	0.320746i	0.152235	+	0.0148742i
$466$	2.11025	+	9.24561i	0.0977555	+	0.428295i
$467$	−23.4383	−	11.2873i	−1.08460	−	0.522314i	−0.195812	−	0.980641i	$-0.562734\pi$
$467$	−23.4383	−	11.2873i	−1.08460	−	0.522314i	−0.888783	+	0.458328i	$0.848449\pi$
$468$	−23.4914	+	12.1823i	−1.08589	+	0.563128i
$469$	−8.89760	+	3.57567i	−0.410853	+	0.165109i
$470$	−1.41243	−	2.93294i	−0.0651506	−	0.135287i
$471$	−3.19220	+	9.57515i	−0.147089	+	0.441200i
$472$		−	8.60383i		−	0.396023i
$473$	−10.1242	−	21.0231i	−0.465510	−	0.966642i
$474$	−7.20147	+	2.64019i	−0.330775	+	0.121268i
$475$	13.2126	−	3.01569i	0.606237	−	0.138370i
$476$	24.0179	−	9.65205i	1.10086	−	0.442401i
$477$	−5.29099	−	6.24604i	−0.242258	−	0.285987i
$478$	−5.98361	+	2.88156i	−0.273684	+	0.131799i
$479$	−4.10344	+	17.9783i	−0.187491	+	0.821451i	0.790443	+	0.612536i	$0.209851\pi$
$479$	−4.10344	+	17.9783i	−0.187491	+	0.821451i	−0.977934	+	0.208915i	$0.933007\pi$
$480$	−20.2124	+	7.41025i	−0.922567	+	0.338230i
$481$	−33.1966	+	7.57691i	−1.51364	+	0.345477i
$482$	5.71062	−	7.16089i	0.260112	−	0.326170i
$483$	1.39213	+	2.49396i	0.0633443	+	0.113479i
$484$	−6.51668	−	8.17166i	−0.296213	−	0.371439i
$485$	27.1197	+	21.6272i	1.23144	+	0.982042i
$486$	5.63842	+	2.98565i	0.255764	+	0.135432i
$487$	10.0916	−	12.6545i	0.457294	−	0.573428i	−0.498715	−	0.866766i	$-0.666195\pi$
$487$	10.0916	−	12.6545i	0.457294	−	0.573428i	0.956009	+	0.293338i	$0.0947661\pi$
$488$	1.55375	−	6.80742i	0.0703349	−	0.308157i
$489$	−21.2219	−	7.07504i	−0.959687	−	0.319944i
$490$	−1.08243	+	8.06813i	−0.0488991	+	0.364481i
$491$		−	18.1061i		−	0.817118i	−0.912732	−	0.408559i	$-0.866032\pi$
$491$		−	18.1061i		−	0.817118i	0.912732	−	0.408559i	$-0.133968\pi$
$492$	11.8711	−	19.5286i	0.535189	−	0.880415i
$493$	23.5633	+	18.7911i	1.06124	+	0.846308i
$494$	3.76955	−	7.82756i	0.169600	−	0.352178i
$495$	8.75415	+	33.7200i	0.393470	+	1.51560i
$496$	−1.58405	+	1.26324i	−0.0711259	+	0.0567210i
$497$	−0.943339	+	14.1258i	−0.0423145	+	0.633628i
$498$	5.27155	+	8.12027i	0.236224	+	0.363878i
$499$	−4.49989	−	19.7153i	−0.201443	−	0.882578i	−0.970059	−	0.242869i	$-0.921912\pi$
$499$	−4.49989	−	19.7153i	−0.201443	−	0.882578i	0.768616	−	0.639710i	$-0.220946\pi$
$500$	−6.25501	−	7.84353i	−0.279733	−	0.350774i
$501$	−0.381547	+	0.627665i	−0.0170463	+	0.0280420i
$502$	−0.693396	−	1.43985i	−0.0309478	−	0.0642637i
$503$	2.11064	−	9.24732i	0.0941088	−	0.412317i	−0.905827	−	0.423648i	$-0.860749\pi$
$503$	2.11064	−	9.24732i	0.0941088	−	0.412317i	0.999936	+	0.0113303i	$0.00360661\pi$
$504$	−8.11805	+	9.43953i	−0.361607	+	0.420470i
$505$	3.57017	+	15.6419i	0.158870	+	0.696057i
$506$	0.815123	−	0.650039i	0.0362366	−	0.0288978i
$507$	17.4737	−	2.23122i	0.776036	−	0.0990921i
$508$	5.22414			0.231784
$509$	−9.54155			−0.422922			−0.211461	−	0.977386i	$-0.567822\pi$
$509$	−9.54155			−0.422922			−0.211461	+	0.977386i	$0.567822\pi$
$510$	1.36210	+	10.6672i	0.0603148	+	0.472353i
$511$	24.0363	−	16.6751i	1.06330	−	0.737662i
$512$	9.85233	−	20.4586i	0.435416	−	0.904150i
$513$	22.6339	−	3.57393i	0.999309	−	0.157793i
$514$	3.17130	−	0.723829i	0.139880	−	0.0319267i
$515$	16.9206	−	3.86201i	0.745609	−	0.170180i
$516$	−13.0017	−	12.6224i	−0.572369	−	0.555670i
$517$	4.96393	−	10.3077i	0.218313	−	0.453332i
$518$	−6.29376	+	4.36627i	−0.276532	+	0.191843i
$519$	29.5036	−	3.76732i	1.29507	−	0.165367i
$520$	21.4534			0.940793
$521$	16.7407			0.733422			0.366711	−	0.930335i	$-0.380484\pi$
$521$	16.7407			0.733422			0.366711	+	0.930335i	$0.380484\pi$
$522$	−6.80021	−	1.34165i	−0.297637	−	0.0587223i
$523$	15.6611	−	12.4893i	0.684811	−	0.546119i	−0.218110	−	0.975924i	$-0.569989\pi$
$523$	15.6611	−	12.4893i	0.684811	−	0.546119i	0.902921	+	0.429806i	$0.141418\pi$
$524$	−0.484385	−	2.12223i	−0.0211605	−	0.0927100i
$525$	13.0338	+	5.33445i	0.568842	+	0.232814i
$526$	2.73466	−	11.9813i	0.119237	−	0.522410i
$527$	1.55256	+	3.22392i	0.0676306	+	0.140436i
$528$	−18.2859	−	11.1157i	−0.795794	−	0.483749i
$529$	14.0981	+	17.6784i	0.612959	+	0.768626i
$530$	0.706090	+	3.09358i	0.0306706	+	0.134377i
$531$	−15.9274	+	4.13495i	−0.691188	+	0.179442i
$532$	−1.42463	+	21.3328i	−0.0617657	+	0.924894i
$533$	−27.0977	+	21.6097i	−1.17373	+	0.936021i
$534$	1.93014	+	2.97318i	0.0835253	+	0.128662i
$535$	−21.7841	+	45.2351i	−0.941807	+	1.95568i
$536$	4.44480	+	3.54461i	0.191986	+	0.153104i
$537$	13.0569	+	7.93705i	0.563445	+	0.342509i
$538$		−	13.0734i		−	0.563635i
$539$	−24.5407	+	14.7049i	−1.05704	+	0.633385i
$540$	15.3969	+	22.2464i	0.662576	+	0.957333i
$541$	4.62863	−	20.2794i	0.199001	−	0.871878i	−0.772533	−	0.634975i	$-0.781010\pi$
$541$	4.62863	−	20.2794i	0.199001	−	0.871878i	0.971533	−	0.236903i	$-0.0761325\pi$
$542$	1.74301	−	2.18566i	0.0748685	−	0.0938822i
$543$	−5.86641	+	6.04271i	−0.251752	+	0.259318i
$544$	−18.2594	−	14.5614i	−0.782867	−	0.624316i
$545$	−12.8547	−	16.1193i	−0.550634	−	0.690474i
$546$	7.88320	−	4.40043i	0.337370	−	0.188321i
$547$	−1.87813	+	2.35509i	−0.0803029	+	0.100697i	−0.820360	−	0.571847i	$-0.806227\pi$
$547$	−1.87813	+	2.35509i	−0.0803029	+	0.100697i	0.740057	+	0.672544i	$0.234798\pi$
$548$	34.3606	−	7.84258i	1.46781	−	0.335018i
$549$	−13.3486	+	0.395316i	−0.569703	+	0.0168717i
$550$	1.14392	−	5.01183i	0.0487768	−	0.213705i
$551$	−22.4286	+	10.8010i	−0.955490	+	0.460140i
$552$	0.879590	−	1.44697i	0.0374379	−	0.0615873i
$553$	−26.5620	+	10.6744i	−1.12953	+	0.453923i
$554$	0.852681	−	0.194619i	0.0362270	−	0.00826857i
$555$	11.9831	+	32.6854i	0.508653	+	1.38742i
$556$	4.04979	+	8.40949i	0.171750	+	0.356642i
$557$			5.68137i			0.240727i	0.992730	+	0.120364i	$0.0384060\pi$
$557$			5.68137i			0.240727i	−0.992730	+	0.120364i	$0.961594\pi$
$558$	−0.658305	−	0.493823i	−0.0278683	−	0.0209052i
$559$	11.9240	+	24.7603i	0.504329	+	1.04725i
$560$	−21.0862	+	8.47388i	−0.891053	+	0.358087i
$561$	−26.3258	+	27.1170i	−1.11148	+	1.14488i
$562$	−0.173371	−	0.0834909i	−0.00731320	−	0.00352185i
$563$	−5.18449	−	22.7147i	−0.218500	−	0.957311i	−0.958587	−	0.284800i	$-0.908073\pi$
$563$	−5.18449	−	22.7147i	−0.218500	−	0.957311i	0.740087	−	0.672511i	$-0.234784\pi$
$564$	0.863981	−	8.84268i	0.0363802	−	0.372344i
$565$	−6.43226	+	13.3567i	−0.270607	+	0.561921i
$566$	−3.55950	−	1.71417i	−0.149617	−	0.0720518i
$567$	21.3759	+	10.4915i	0.897703	+	0.440602i
$568$	7.56215	−	3.64174i	0.317301	−	0.152804i
$569$			5.49956i			0.230554i	0.993333	+	0.115277i	$0.0367755\pi$
$569$			5.49956i			0.230554i	−0.993333	+	0.115277i	$0.963224\pi$
$570$	−8.42652	−	2.80927i	−0.352948	−	0.117667i
$571$	−28.4669	+	13.7090i	−1.19130	+	0.573702i	−0.921185	−	0.389125i	$-0.872777\pi$
$571$	−28.4669	+	13.7090i	−1.19130	+	0.573702i	−0.270119	+	0.962827i	$0.587063\pi$
$572$	22.4772	+	28.1856i	0.939821	+	1.17850i
$573$	−2.19053	−	0.214027i	−0.0915106	−	0.00894111i
$574$	−3.84356	+	6.78382i	−0.160427	+	0.283151i
$575$	−1.86742	−	0.426227i	−0.0778770	−	0.0177749i
$576$	−12.5253	−	2.47118i	−0.521887	−	0.102966i
$577$	−4.58362	−	1.04618i	−0.190819	−	0.0435531i	0.126043	−	0.992025i	$-0.459772\pi$
$577$	−4.58362	−	1.04618i	−0.190819	−	0.0435531i	−0.316862	+	0.948472i	$0.602629\pi$
$578$	−3.68126	+	2.93571i	−0.153120	+	0.122109i
$579$	1.87674	−	19.2081i	0.0779948	−	0.798261i
$580$	−22.9797	−	18.3257i	−0.954181	−	0.760934i
$581$	20.5958	+	29.6879i	0.854459	+	1.23166i
$582$	−2.97895	−	8.12549i	−0.123482	−	0.336812i
$583$	−6.95307	+	8.71887i	−0.287967	+	0.361099i
$584$	−15.6262	−	7.52518i	−0.646617	−	0.311394i
$585$	−10.3104	−	39.7144i	−0.426281	−	1.64199i
$586$	5.36101	+	1.22362i	0.221461	+	0.0505471i
$587$	2.07642			0.0857030			0.0428515	−	0.999081i	$-0.486356\pi$
$587$	2.07642			0.0857030			0.0428515	+	0.999081i	$0.486356\pi$
$588$	−13.9627	+	17.2820i	−0.575814	+	0.712699i
$589$	−2.95559			−0.121783
$590$	6.21880	+	1.41940i	0.256024	+	0.0584358i
$591$	−16.6952	−	25.7172i	−0.686748	−	1.05786i
$592$	−19.2664	−	9.27819i	−0.791842	−	0.381331i
$593$	−11.2953	+	14.1638i	−0.463841	+	0.581639i	−0.957651	−	0.287931i	$-0.907032\pi$
$593$	−11.2953	+	14.1638i	−0.463841	+	0.581639i	0.493810	+	0.869570i	$0.335604\pi$
$594$	2.50370	−	8.32347i	0.102728	−	0.341516i
$595$	6.30382	+	39.6372i	0.258431	+	1.62497i
$596$	−7.55798	−	6.02729i	−0.309587	−	0.246887i
$597$	−11.5816	−	1.13159i	−0.474004	−	0.0463129i
$598$	−0.960027	+	0.765596i	−0.0392584	+	0.0313076i
$599$	−18.1132	−	4.13422i	−0.740085	−	0.168920i	−0.164173	−	0.986432i	$-0.552496\pi$
$599$	−18.1132	−	4.13422i	−0.740085	−	0.168920i	−0.575912	+	0.817512i	$0.695353\pi$
$600$	−1.05756	−	8.28221i	−0.0431746	−	0.338120i
$601$	37.2464	+	8.50124i	1.51931	+	0.346773i	0.899129	−	0.437684i	$-0.144201\pi$
$601$	37.2464	+	8.50124i	1.51931	+	0.346773i	0.620183	+	0.784457i	$0.287058\pi$
$602$	4.56598	+	4.16815i	0.186095	+	0.169881i
$603$	4.42562	−	9.93171i	0.180225	−	0.404450i
$604$	−15.3398	−	19.2355i	−0.624169	−	0.782683i
$605$	14.6012	−	7.03158i	0.593624	−	0.285874i
$606$	1.26602	−	3.79748i	0.0514285	−	0.154262i
$607$			18.4903i			0.750497i	0.926924	+	0.375249i	$0.122443\pi$
$607$			18.4903i			0.750497i	−0.926924	+	0.375249i	$0.877557\pi$
$608$	17.3802	−	8.36985i	0.704859	−	0.339442i
$609$	−25.5214	−	4.22552i	−1.03418	−	0.171227i
$610$	4.66404	+	2.24608i	0.188841	+	0.0909412i
$611$	−5.84636	+	12.1401i	−0.236518	+	0.491136i
$612$	−11.9464	+	26.8093i	−0.482903	+	1.08370i
$613$	5.97106	+	26.1609i	0.241169	+	1.05663i	0.939955	+	0.341299i	$0.110867\pi$
$613$	5.97106	+	26.1609i	0.241169	+	1.05663i	−0.698786	+	0.715331i	$0.746276\pi$
$614$	−7.24337	−	3.48822i	−0.292318	−	0.140773i
$615$	25.4247	+	24.6829i	1.02522	+	0.995312i
$616$	14.7573	+	8.36118i	0.594590	+	0.336881i
$617$	−7.59500	−	15.7712i	−0.305763	−	0.634924i	0.690305	−	0.723519i	$-0.257477\pi$
$617$	−7.59500	−	15.7712i	−0.305763	−	0.634924i	−0.996068	+	0.0885952i	$0.971762\pi$
$618$	−4.10790	−	1.36951i	−0.165244	−	0.0550897i
$619$		−	12.5503i		−	0.504440i	−0.967670	−	0.252220i	$-0.918839\pi$
$619$		−	12.5503i		−	0.504440i	0.967670	−	0.252220i	$-0.0811607\pi$
$620$	−1.51411	−	3.14408i	−0.0608081	−	0.126269i
$621$	−3.10135	−	0.932885i	−0.124453	−	0.0374354i
$622$	−9.33652	+	2.13100i	−0.374360	+	0.0854453i
$623$	7.54101	+	10.8700i	0.302124	+	0.435497i
$624$	21.5366	+	13.0917i	0.862155	+	0.524089i
$625$	27.8592	−	13.4163i	1.11437	−	0.536652i
$626$	−2.81493	+	12.3330i	−0.112507	+	0.492926i
$627$	−10.7454	−	29.3094i	−0.429128	−	1.17050i
$628$	10.4108	−	2.37619i	0.415436	−	0.0948204i
$629$	−23.5472	+	29.5272i	−0.938888	+	1.17733i
$630$	−5.48358	−	7.42495i	−0.218471	−	0.295817i
$631$	−23.8572	−	29.9160i	−0.949741	−	1.19094i	−0.981504	−	0.191443i	$-0.938683\pi$
$631$	−23.8572	−	29.9160i	−0.949741	−	1.19094i	0.0317624	−	0.999495i	$-0.489888\pi$
$632$	13.2690	+	10.5817i	0.527814	+	0.420918i
$633$	−6.86271	−	6.66248i	−0.272768	−	0.264810i
$634$	−3.10259	+	3.89052i	−0.123219	+	0.154512i
$635$	−1.80247	+	7.89714i	−0.0715289	+	0.313388i
$636$	−2.73906	+	8.21593i	−0.108611	+	0.325783i
$637$	28.9033	−	17.3190i	1.14519	−	0.686203i
$638$			9.44277i			0.373843i
$639$	−10.3759	−	12.2488i	−0.410464	−	0.484555i
$640$	23.3043	+	18.5845i	0.921181	+	0.734618i
$641$	13.7180	−	28.4858i	0.541829	−	1.12512i	−0.432841	−	0.901470i	$-0.642489\pi$
$641$	13.7180	−	28.4858i	0.541829	−	1.12512i	0.974670	−	0.223649i	$-0.0717970\pi$
$642$	10.5066	−	6.82075i	0.414664	−	0.269194i
$643$	5.07421	−	4.04654i	0.200107	−	0.159580i	−0.518310	−	0.855193i	$-0.673439\pi$
$643$	5.07421	−	4.04654i	0.200107	−	0.159580i	0.718417	+	0.695613i	$0.244867\pi$
$644$	1.48962	−	2.62915i	0.0586991	−	0.103603i
$645$	23.5667	−	15.2992i	0.927940	−	0.602404i
$646$	−2.14425	−	9.39457i	−0.0843644	−	0.369625i
$647$	−9.12576	−	11.4433i	−0.358771	−	0.449884i	0.569388	−	0.822069i	$-0.307180\pi$
$647$	−9.12576	−	11.4433i	−0.358771	−	0.449884i	−0.928159	+	0.372185i	$0.878609\pi$
$648$	−0.835424	−	14.0925i	−0.0328185	−	0.553604i
$649$	9.72670	+	20.1977i	0.381806	+	0.792829i
$650$	−1.34727	+	5.90278i	−0.0528443	+	0.231526i
$651$	−2.51236	−	1.76672i	−0.0984670	−	0.0692431i
$652$	5.26648	+	23.0740i	0.206251	+	0.903646i
$653$	21.6304	−	17.2497i	0.846463	−	0.675032i	−0.101003	−	0.994886i	$-0.532205\pi$
$653$	21.6304	−	17.2497i	0.846463	−	0.675032i	0.947467	+	0.319854i	$0.103634\pi$
$654$	0.651539	+	5.10250i	0.0254772	+	0.199524i
$655$	3.37522			0.131881
$656$	−21.7665			−0.849838
$657$	−6.42071	+	32.5437i	−0.250496	+	1.26965i
$658$	−0.201980	+	3.02450i	−0.00787401	+	0.117907i
$659$	−0.989723	+	2.05518i	−0.0385541	+	0.0800585i	−0.919356	−	0.393426i	$-0.871290\pi$
$659$	−0.989723	+	2.05518i	−0.0385541	+	0.0800585i	0.880802	+	0.473485i	$0.157004\pi$
$660$	25.6738	−	26.4454i	0.999353	−	1.02939i
$661$	46.5518	−	10.6251i	1.81066	−	0.413270i	0.822760	−	0.568389i	$-0.192433\pi$
$661$	46.5518	−	10.6251i	1.81066	−	0.413270i	0.987896	+	0.155119i	$0.0495760\pi$
$662$	−10.8201	+	2.46961i	−0.420534	+	0.0959841i
$663$	31.0057	−	31.9376i	1.20416	−	1.24035i
$664$	9.29455	−	19.3003i	0.360698	−	0.748998i
$665$	−31.7565	−	9.51396i	−1.23146	−	0.368936i
$666$	1.68122	−	8.52137i	0.0651461	−	0.330196i
$667$	3.51841			0.136233
$668$	0.777128			0.0300680
$669$	1.68713	+	13.2127i	0.0652282	+	0.510832i
$670$	−3.29530	+	2.62791i	−0.127308	+	0.101525i
$671$	4.04838	+	17.7371i	0.156286	+	0.684734i
$672$	19.7768	+	3.27440i	0.762908	+	0.126313i
$673$	−2.88854	+	12.6555i	−0.111345	+	0.487835i	0.888249	+	0.459361i	$0.151922\pi$
$673$	−2.88854	+	12.6555i	−0.111345	+	0.487835i	−0.999595	+	0.0284734i	$0.990935\pi$
$674$	−2.47431	−	5.13795i	−0.0953068	−	0.197907i
$675$	−14.8237	+	5.93813i	−0.570566	+	0.228559i
$676$	−11.6200	−	14.5711i	−0.446924	−	0.560425i
$677$	−4.06184	−	17.7961i	−0.156109	−	0.683960i	−0.991036	−	0.133598i	$-0.957347\pi$
$677$	−4.06184	−	17.7961i	−0.156109	−	0.683960i	0.834926	−	0.550362i	$-0.185510\pi$
$678$	3.10233	−	2.01399i	0.119144	−	0.0773467i
$679$	−12.0441	−	29.9701i	−0.462208	−	1.15015i
$680$	18.6036	−	14.8359i	0.713415	−	0.568930i
$681$	−24.0706	+	15.6262i	−0.922386	+	0.598799i
$682$	−0.486436	+	1.01009i	−0.0186266	+	0.0386785i
$683$	24.6243	+	19.6373i	0.942224	+	0.751399i	0.968696	−	0.248251i	$-0.0798557\pi$
$683$	24.6243	+	19.6373i	0.942224	+	0.751399i	−0.0264715	+	0.999650i	$0.508427\pi$
$684$	−15.6697	−	18.4982i	−0.599147	−	0.707296i
$685$			54.6475i			2.08797i
$686$	4.58038	−	6.03965i	0.174880	−	0.230595i
$687$	6.93489	−	20.8015i	0.264582	−	0.793627i
$688$	−3.84049	+	16.8263i	−0.146417	+	0.641495i
$689$	8.18911	−	10.2688i	0.311980	−	0.391211i
$690$	0.900756	+	0.874475i	0.0342912	+	0.0332907i
$691$	−10.6160	−	8.46598i	−0.403852	−	0.322061i	0.400410	−	0.916336i	$-0.368868\pi$
$691$	−10.6160	−	8.46598i	−0.403852	−	0.322061i	−0.804262	+	0.594275i	$0.797439\pi$
$692$	−19.6199	−	24.6026i	−0.745837	−	0.935249i
$693$	8.38586	−	31.3370i	0.318553	−	1.19040i
$694$	−3.44212	+	4.31628i	−0.130661	+	0.163844i
$695$	−14.1096	+	3.22042i	−0.535207	+	0.122158i
$696$	5.27915	+	14.3996i	0.200106	+	0.545814i
$697$	−8.55419	+	37.4784i	−0.324013	+	1.41959i
$698$	−4.24609	+	2.04481i	−0.160717	+	0.0773971i
$699$	−34.2937	−	20.8465i	−1.29711	−	0.788489i
$700$	−2.34023	−	14.7149i	−0.0884524	−	0.556171i
$701$	6.43357	−	1.46842i	0.242992	−	0.0554614i	−0.0992901	−	0.995059i	$-0.531657\pi$
$701$	6.43357	−	1.46842i	0.242992	−	0.0554614i	0.342282	+	0.939597i	$0.388800\pi$
$702$	−2.94878	+	9.80313i	−0.111294	+	0.369995i
$703$	−13.5348	−	28.1054i	−0.510476	−	1.06001i
$704$			17.3926i			0.655509i
$705$	13.0690	+	4.35701i	0.492209	+	0.164095i
$706$	2.46078	+	5.10986i	0.0926125	+	0.192312i
$707$	4.28754	−	14.3113i	0.161250	−	0.538232i
$708$	12.4913	+	12.1268i	0.469451	+	0.455754i
$709$	42.9172	+	20.6678i	1.61179	+	0.776197i	0.999891	−	0.0147386i	$-0.00469161\pi$
$709$	42.9172	+	20.6678i	1.61179	+	0.776197i	0.611899	+	0.790936i	$0.290406\pi$
$710$	1.38468	+	6.06667i	0.0519661	+	0.227678i
$711$	13.2118	−	29.6491i	0.495480	−	1.11193i
$712$	3.40313	−	7.06667i	0.127538	−	0.264835i
$713$	0.376364	+	0.181248i	0.0140950	+	0.00678778i
$714$	3.79295	−	9.26744i	0.141948	−	0.346825i
$715$	−50.3623	+	24.2532i	−1.88344	+	0.907019i
$716$		−	16.1660i		−	0.604153i
$717$	8.88890	−	26.6627i	0.331962	−	0.995735i
$718$	−9.41136	+	4.53227i	−0.351229	+	0.169143i
$719$	−28.2311	−	35.4007i	−1.05284	−	1.32022i	−0.945365	−	0.326014i	$-0.894294\pi$
$719$	−28.2311	−	35.4007i	−1.05284	−	1.32022i	−0.107477	−	0.994208i	$-0.534277\pi$
$720$	10.4881	−	23.5369i	0.390870	−	0.877167i
$721$	−15.4812	−	4.63802i	−0.576549	−	0.172729i
$722$	0.178300	+	0.0406958i	0.00663564	+	0.00151454i
$723$	4.90947	+	38.4483i	0.182585	+	1.42991i
$724$	8.68690	+	1.98273i	0.322846	+	0.0736875i
$725$	13.5635	−	10.8166i	0.503737	−	0.401717i
$726$	−4.02420	−	0.393188i	−0.149352	−	0.0145926i
$727$	−25.1931	−	20.0908i	−0.934359	−	0.745126i	0.0327567	−	0.999463i	$-0.489571\pi$
$727$	−25.1931	−	20.0908i	−0.934359	−	0.745126i	−0.967116	+	0.254337i	$0.918143\pi$
$728$	−17.3807	−	9.84754i	−0.644173	−	0.364974i
$729$	−25.6864	+	8.31928i	−0.951347	+	0.308122i
$730$	8.01707	−	10.0531i	0.296725	−	0.372081i
$731$	27.4628	+	13.2254i	1.01575	+	0.489159i
$732$	7.69324	+	11.8506i	0.284350	+	0.438011i
$733$	−33.8962	−	7.73658i	−1.25198	−	0.285757i	−0.455400	−	0.890287i	$-0.650504\pi$
$733$	−33.8962	−	7.73658i	−1.25198	−	0.285757i	−0.796582	+	0.604530i	$0.793361\pi$
$734$	10.5480			0.389335
$735$	−21.3071	−	27.0697i	−0.785923	−	0.998482i
$736$	−2.72645			−0.100498
$737$	−14.4415	−	3.29618i	−0.531959	−	0.121416i
$738$	−2.22159	−	8.55729i	−0.0817777	−	0.314998i
$739$	44.9415	+	21.6427i	1.65320	+	0.796140i	0.999214	+	0.0396337i	$0.0126191\pi$
$739$	44.9415	+	21.6427i	1.65320	+	0.796140i	0.653987	+	0.756506i	$0.273095\pi$
$740$	22.9640	−	28.7960i	0.844174	−	1.05856i
$741$	12.6556	+	34.5197i	0.464913	+	1.26811i
$742$	0.847969	−	2.83042i	0.0311299	−	0.103908i
$743$	29.6040	+	23.6084i	1.08606	+	0.866107i	0.991590	−	0.129420i	$-0.0413116\pi$
$743$	29.6040	+	23.6084i	1.08606	+	0.866107i	0.0944742	+	0.995527i	$0.469883\pi$
$744$	−0.177070	+	1.81227i	−0.00649169	+	0.0664412i
$745$	11.7189	−	9.34554i	0.429349	−	0.342394i
$746$	−2.48424	−	0.567011i	−0.0909543	−	0.0207597i
$747$	−40.1956	−	7.93038i	−1.47068	−	0.290158i
$748$	38.9829	+	8.89760i	1.42536	+	0.325328i
$749$	38.4125	−	26.6485i	1.40356	−	0.973715i
$750$	−3.86261	−	0.377399i	−0.141043	−	0.0137807i
$751$	2.35329	+	2.95093i	0.0858726	+	0.107681i	0.822912	−	0.568169i	$-0.192348\pi$
$751$	2.35329	+	2.95093i	0.0858726	+	0.107681i	−0.737039	+	0.675850i	$0.763777\pi$
$752$	−7.62413	+	3.67159i	−0.278023	+	0.133889i
$753$	6.41590	+	2.13896i	0.233808	+	0.0779480i
$754$		−	11.1214i		−	0.405018i
$755$	34.3703	−	16.5519i	1.25086	−	0.602384i
$756$	−2.26243	−	25.0907i	−0.0822837	−	0.912541i
$757$	−36.9490	−	17.7937i	−1.34294	−	0.646724i	−0.382172	−	0.924091i	$-0.624824\pi$
$757$	−36.9490	−	17.7937i	−1.34294	−	0.646724i	−0.960764	+	0.277367i	$0.910538\pi$
$758$	4.99774	−	10.3779i	0.181526	−	0.376943i
$759$	−0.429045	+	4.39119i	−0.0155733	+	0.159390i
$760$	4.37345	+	19.1613i	0.158642	+	0.695055i
$761$	29.4867	+	14.2000i	1.06889	+	0.514751i	0.883749	−	0.467961i	$-0.155011\pi$
$761$	29.4867	+	14.2000i	1.06889	+	0.514751i	0.185142	+	0.982712i	$0.440725\pi$
$762$	1.40773	−	1.45004i	0.0509968	−	0.0525294i
$763$	3.01533	+	18.9598i	0.109162	+	0.686391i
$764$	1.01033	+	2.09798i	0.0365526	+	0.0759023i
$765$	−36.4049	−	27.3088i	−1.31622	−	0.987353i
$766$		−	0.957724i		−	0.0346040i
$767$	−11.4558	−	23.7882i	−0.413645	−	0.858943i
$768$	2.51448	+	6.85857i	0.0907334	+	0.247487i
$769$	−32.2356	+	7.35758i	−1.16245	+	0.265321i	−0.759876	−	0.650068i	$-0.774740\pi$
$769$	−32.2356	+	7.35758i	−1.16245	+	0.265321i	−0.402571	+	0.915389i	$0.631883\pi$
$770$	−8.47798	+	9.28716i	−0.305525	+	0.334686i
$771$	−7.15049	+	11.7629i	−0.257519	+	0.423632i
$772$	−18.3966	+	8.85933i	−0.662108	+	0.318854i
$773$	4.60635	−	20.1817i	0.165679	−	0.725887i	−0.822012	−	0.569470i	$-0.807149\pi$
$773$	4.60635	−	20.1817i	0.165679	−	0.725887i	0.987691	−	0.156417i	$-0.0499943\pi$
$774$	−7.00707	+	0.207513i	−0.251864	+	0.00745891i
$775$	2.00810	−	0.458335i	0.0721330	−	0.0164639i
$776$	−11.9394	+	14.9716i	−0.428601	+	0.537448i
$777$	5.29501	−	31.9810i	0.189958	−	1.14731i
$778$	6.58002	+	8.25108i	0.235905	+	0.295815i
$779$	−24.8251	−	19.7974i	−0.889451	−	0.709314i
$780$	−30.2379	+	31.1466i	−1.08269	+	1.11523i
$781$	−13.6353	+	17.0982i	−0.487910	+	0.611820i
$782$	−0.303061	+	1.32780i	−0.0108374	+	0.0474819i
$783$	24.1193	−	16.6931i	0.861952	−	0.596562i
$784$	20.9729	+	2.81375i	0.749034	+	0.100491i
$785$			16.5574i			0.590961i
$786$	−0.719582	−	0.437422i	−0.0256667	−	0.0156023i
$787$	−17.8062	−	14.2000i	−0.634722	−	0.506174i	0.252452	−	0.967610i	$-0.418763\pi$
$787$	−17.8062	−	14.2000i	−0.634722	−	0.506174i	−0.887174	+	0.461436i	$0.847335\pi$
$788$	−14.0748	+	29.2265i	−0.501393	+	1.04115i
$789$	28.3185	+	43.6217i	1.00817	+	1.55297i
$790$	−9.83744	+	7.84509i	−0.350000	+	0.279116i
$791$	11.3422	−	7.86860i	0.403282	−	0.279775i
$792$	−18.6153	+	4.83278i	−0.661466	+	0.171725i
$793$	−4.76806	−	20.8902i	−0.169319	−	0.741834i
$794$	1.30485	+	1.63623i	0.0463074	+	0.0580677i
$795$	−11.4747	−	6.97525i	−0.406964	−	0.247387i
$796$	5.34178	+	11.0923i	0.189334	+	0.393157i
$797$	−1.83702	+	8.04850i	−0.0650705	+	0.285093i	−0.996986	−	0.0775833i	$-0.975280\pi$
$797$	−1.83702	+	8.04850i	−0.0650705	+	0.285093i	0.931915	+	0.362676i	$0.118137\pi$
$798$	5.53735	+	6.14391i	0.196020	+	0.217492i
$799$	3.32561	+	14.5704i	0.117652	+	0.515465i
$800$	−10.5105	+	8.38187i	−0.371604	+	0.296344i
$801$	−14.7173	−	2.90365i	−0.520010	−	0.102595i
$802$	15.7535			0.556276
$803$	45.1902			1.59473
$804$	−11.4110	+	1.45707i	−0.402434	+	0.0513868i
$805$	3.46043	+	3.15892i	0.121964	+	0.111337i
$806$	0.572909	−	1.18966i	0.0201799	−	0.0419039i
$807$	39.6958	+	38.5376i	1.39736	+	1.35659i
$808$	−8.63522	+	1.97093i	−0.303786	+	0.0693371i
$809$	−24.3776	+	5.56402i	−0.857070	+	0.195621i	−0.628407	−	0.777885i	$-0.716293\pi$
$809$	−24.3776	+	5.56402i	−0.857070	+	0.195621i	−0.228663	+	0.973506i	$0.573435\pi$
$810$	10.3238	+	1.72104i	0.362740	+	0.0604711i
$811$	21.2845	−	44.1977i	0.747399	−	1.55199i	−0.0840954	−	0.996458i	$-0.526800\pi$
$811$	21.2845	−	44.1977i	0.747399	−	1.55199i	0.831495	−	0.555533i	$-0.187486\pi$
$812$	10.2055	+	25.3950i	0.358142	+	0.891190i
$813$	1.49848	+	11.7353i	0.0525539	+	0.411574i
$814$	−11.8328			−0.414738
$815$	−36.6971			−1.28544
$816$	27.7293	−	3.54075i	0.970718	−	0.123951i
$817$	−19.6842	+	15.6976i	−0.688663	+	0.549191i
$818$	0.660228	+	2.89265i	0.0230843	+	0.101139i
$819$	−9.87661	+	36.9078i	−0.345117	+	1.28966i
$820$	8.34234	−	36.5502i	0.291327	−	1.27639i
$821$	3.72643	+	7.73801i	0.130053	+	0.270058i	0.955820	−	0.293954i	$-0.0949713\pi$
$821$	3.72643	+	7.73801i	0.130053	+	0.270058i	−0.825766	+	0.564012i	$0.809257\pi$
$822$	7.08221	−	11.6506i	0.247020	−	0.406362i
$823$	8.72923	+	10.9461i	0.304282	+	0.381557i	0.910339	−	0.413864i	$-0.135821\pi$
$823$	8.72923	+	10.9461i	0.304282	+	0.381557i	−0.606057	+	0.795421i	$0.707250\pi$
$824$	2.13204	+	9.34109i	0.0742732	+	0.325412i
$825$	11.8458	+	18.2471i	0.412416	+	0.635283i
$826$	−4.38672	−	4.00451i	−0.152633	−	0.139335i
$827$	−28.2143	+	22.5002i	−0.981108	+	0.782408i	−0.976043	−	0.217579i	$-0.930184\pi$
$827$	−28.2143	+	22.5002i	−0.981108	+	0.782408i	−0.00506563	+	0.999987i	$0.501612\pi$
$828$	0.861001	+	3.31648i	0.0299219	+	0.115256i
$829$	19.6823	−	40.8707i	0.683594	−	1.41950i	−0.213183	−	0.977012i	$-0.568383\pi$
$829$	19.6823	−	40.8707i	0.683594	−	1.41950i	0.896776	−	0.442484i	$-0.145903\pi$
$830$	12.4168	+	9.90209i	0.430994	+	0.343706i
$831$	−1.92258	+	3.16275i	−0.0666936	+	0.109715i
$832$		−	20.4845i		−	0.710172i
$833$	13.0872	−	35.0062i	0.453443	−	1.21289i
$834$	3.42546	+	1.14200i	0.118614	+	0.0395441i
$835$	−0.268130	+	1.17476i	−0.00927903	+	0.0406541i
$836$	−20.5921	+	25.8217i	−0.712193	+	0.893062i
$837$	3.43997	−	0.543178i	0.118903	−	0.0187750i
$838$	3.19839	+	2.55063i	0.110487	+	0.0881101i
$839$	15.2889	+	19.1717i	0.527832	+	0.661880i	0.972251	−	0.233939i	$-0.0751615\pi$
$839$	15.2889	+	19.1717i	0.527832	+	0.661880i	−0.444420	+	0.895819i	$0.646590\pi$
$840$	−7.73618	+	18.9020i	−0.266924	+	0.652182i
$841$	−1.78729	+	2.24119i	−0.0616308	+	0.0772825i
$842$	−7.86960	+	1.79619i	−0.271204	+	0.0619006i
$843$	0.764568	−	0.280305i	0.0263331	−	0.00965421i
$844$	−2.25179	+	9.86572i	−0.0775097	+	0.339592i
$845$	26.0357	−	12.5382i	0.895657	−	0.431326i
$846$	−2.22161	−	2.62262i	−0.0763804	−	0.0901675i
$847$	−15.0570	−	1.00553i	−0.517366	−	0.0345504i
$848$	8.04171	−	1.83547i	0.276153	−	0.0630302i
$849$	15.6975	−	5.75499i	0.538736	−	0.197511i
$850$	2.91370	+	6.05037i	0.0999392	+	0.207526i
$851$			4.40893i			0.151136i
$852$	−5.37144	+	16.1119i	−0.184022	+	0.551983i
$853$	−20.2829	−	42.1179i	−0.694474	−	1.44209i	−0.887459	−	0.460888i	$-0.847531\pi$
$853$	−20.2829	−	42.1179i	−0.694474	−	1.44209i	0.192985	−	0.981202i	$-0.438183\pi$
$854$	−2.74764	−	3.96059i	−0.0940223	−	0.135528i
$855$	33.3695	−	17.3049i	1.14121	−	0.591817i
$856$	−24.9723	−	12.0260i	−0.853535	−	0.411041i
$857$	3.42757	+	15.0172i	0.117084	+	0.512977i	0.999126	+	0.0418061i	$0.0133112\pi$
$857$	3.42757	+	15.0172i	0.117084	+	0.512977i	−0.882042	+	0.471170i	$0.843832\pi$
$858$	13.8802	+	1.35618i	0.473862	+	0.0462991i
$859$	3.05908	−	6.35225i	0.104375	−	0.216736i	−0.842241	−	0.539102i	$-0.818764\pi$
$859$	3.05908	−	6.35225i	0.104375	−	0.216736i	0.946615	+	0.322366i	$0.104478\pi$
$860$	−26.7827	−	12.8979i	−0.913281	−	0.439813i
$861$	−9.26824	−	31.6677i	−0.315861	−	1.07923i
$862$	−0.108969	+	0.0524767i	−0.00371150	+	0.00178736i
$863$			18.7202i			0.637244i	0.947882	+	0.318622i	$0.103220\pi$
$863$			18.7202i			0.637244i	−0.947882	+	0.318622i	$0.896780\pi$
$864$	−18.6903	+	12.9357i	−0.635857	+	0.440080i
$865$	43.9602	−	21.1701i	1.49469	−	0.719805i
$866$	3.60830	+	4.52466i	0.122615	+	0.153754i
$867$	1.93765	−	19.8315i	0.0658061	−	0.673513i
$868$	−0.216521	+	3.24223i	−0.00734919	+	0.110048i
$869$	−43.1121	−	9.84006i	−1.46248	−	0.333801i
$870$	−11.2789	+	1.44020i	−0.382389	+	0.0488273i
$871$	17.0087	+	3.88214i	0.576319	+	0.131541i
$872$	8.89873	−	7.09650i	0.301349	−	0.240318i
$873$	33.4533	+	14.9070i	1.13222	+	0.504524i
$874$	−0.879511	−	0.701387i	−0.0297499	−	0.0237248i
$875$	−14.4524	−	0.965153i	−0.488581	−	0.0326281i
$876$	32.9499	−	12.0800i	1.11327	−	0.408147i
$877$	−7.72099	+	9.68181i	−0.260719	+	0.326931i	−0.894911	−	0.446244i	$-0.852761\pi$
$877$	−7.72099	+	9.68181i	−0.260719	+	0.326931i	0.634192	+	0.773175i	$0.281333\pi$
$878$	2.23463	+	1.07614i	0.0754151	+	0.0363180i
$879$	−19.5184	+	12.6711i	−0.658341	+	0.427385i
$880$	−34.2245	−	7.81151i	−1.15371	−	0.263326i
$881$	36.8895			1.24284			0.621420	−	0.783478i	$-0.286556\pi$
$881$	36.8895			1.24284			0.621420	+	0.783478i	$0.286556\pi$
$882$	1.03439	+	8.53250i	0.0348298	+	0.287304i
$883$	13.5980			0.457611			0.228805	−	0.973472i	$-0.426518\pi$
$883$	13.5980			0.457611			0.228805	+	0.973472i	$0.426518\pi$
$884$	−45.9129	−	10.4793i	−1.54422	−	0.352458i
$885$	−22.6415	+	14.6985i	−0.761086	+	0.494085i
$886$	−13.2820	−	6.39626i	−0.446217	−	0.214887i
$887$	−2.74877	+	3.44685i	−0.0922947	+	0.115734i	−0.825834	−	0.563913i	$-0.809295\pi$
$887$	−2.74877	+	3.44685i	−0.0922947	+	0.115734i	0.733540	+	0.679647i	$0.237867\pi$
$888$	−18.0442	+	6.61532i	−0.605522	+	0.221996i
$889$	5.08525	−	5.57061i	0.170554	−	0.186832i
$890$	4.54633	+	3.62557i	0.152393	+	0.121530i
$891$	17.8928	+	32.1379i	0.599432	+	1.07666i
$892$	11.0178	−	8.78643i	0.368904	−	0.294192i
$893$	−12.0349	−	2.74689i	−0.402733	−	0.0919211i
$894$	−3.70959	+	0.473678i	−0.124067	+	0.0158422i
$895$	24.4376	+	5.57772i	0.816859	+	0.186443i
$896$	−10.3496	−	25.7536i	−0.345756	−	0.860369i
$897$	0.505316	−	5.17181i	0.0168720	−	0.172682i
$898$	0.870346	+	1.09138i	0.0290438	+	0.0364198i
$899$	−3.40877	+	1.64158i	−0.113689	+	0.0547497i
$900$	13.5149	+	10.1381i	0.450498	+	0.337938i
$901$		−	14.5679i		−	0.485326i
$902$	−10.8516	+	5.22587i	−0.361320	+	0.174002i
$903$	−26.1156	+	1.57722i	−0.869071	+	0.0524865i
$904$	−7.37365	−	3.55096i	−0.245244	−	0.118103i
$905$	−5.99443	+	12.4476i	−0.199262	+	0.413771i
$906$	−9.47269	−	0.925536i	−0.314709	−	0.0307489i
$907$	−3.54187	−	15.5179i	−0.117606	−	0.515265i	−0.999074	−	0.0430216i	$-0.986302\pi$
$907$	−3.54187	−	15.5179i	−0.117606	−	0.515265i	0.881468	−	0.472243i	$-0.156556\pi$
$908$	27.3552	+	13.1736i	0.907815	+	0.437181i
$909$	7.79861	+	15.0382i	0.258664	+	0.498787i
$910$	9.98511	−	10.9381i	0.331003	−	0.362596i
$911$	−22.6160	−	46.9626i	−0.749301	−	1.55594i	−0.829082	−	0.559128i	$-0.811136\pi$
$911$	−22.6160	−	46.9626i	−0.749301	−	1.55594i	0.0797803	−	0.996812i	$-0.474578\pi$
$912$	−7.30263	+	21.9046i	−0.241814	+	0.725333i
$913$			55.8156i			1.84723i
$914$	7.12102	+	14.7870i	0.235542	+	0.489109i
$915$	−20.5685	+	7.54080i	−0.679974	+	0.249291i
$916$	−22.6169	+	5.16215i	−0.747283	+	0.170562i
$917$	−2.73448	−	1.54930i	−0.0903006	−	0.0511622i
$918$	4.22219	+	10.5401i	0.139353	+	0.347876i
$919$	14.4333	−	6.95073i	0.476112	−	0.229284i	−0.180408	−	0.983592i	$-0.557742\pi$
$919$	14.4333	−	6.95073i	0.476112	−	0.229284i	0.656520	+	0.754308i	$0.272028\pi$
$920$	0.618128	−	2.70820i	0.0203791	−	0.0892866i
$921$	31.9434	−	11.7110i	1.05257	−	0.385892i
$922$	6.77335	−	1.54597i	0.223069	−	0.0509139i
$923$	16.0593	−	20.1377i	0.528597	−	0.662840i
$924$	−32.9390	+	9.64031i	−1.08361	+	0.317143i
$925$	13.5543	+	16.9965i	0.445662	+	0.558842i
$926$	−2.93608	−	2.34144i	−0.0964854	−	0.0769446i
$927$	16.2675	−	8.43610i	0.534296	−	0.277078i
$928$	15.3963	−	19.3064i	0.505409	−	0.633763i
$929$	−11.4709	+	50.2574i	−0.376349	+	1.64889i	0.332184	+	0.943215i	$0.392214\pi$
$929$	−11.4709	+	50.2574i	−0.376349	+	1.64889i	−0.708533	+	0.705678i	$0.750643\pi$
$930$	−1.28069	−	0.426962i	−0.0419955	−	0.0140006i
$931$	21.3608	+	22.2847i	0.700073	+	0.730353i
$932$			42.4599i			1.39082i
$933$	21.0515	−	34.6309i	0.689196	−	1.13376i
$934$	8.32444	+	6.63852i	0.272384	+	0.217219i
$935$	−26.9003	+	55.8591i	−0.879735	+	1.82679i
$936$	21.9245	−	5.69190i	0.716626	−	0.186045i
$937$	−20.1403	+	16.0614i	−0.657956	+	0.524702i	−0.894585	−	0.446898i	$-0.852529\pi$
$937$	−20.1403	+	16.0614i	−0.657956	+	0.524702i	0.236629	+	0.971600i	$0.423957\pi$
$938$	3.87600	−	0.616431i	0.126556	−	0.0201272i
$939$	−29.1498	−	44.9022i	−0.951268	−	1.46533i
$940$	−3.24325	−	14.2096i	−0.105783	−	0.463466i
$941$	25.6579	+	32.1739i	0.836423	+	1.04884i	0.998077	+	0.0619932i	$0.0197457\pi$
$941$	25.6579	+	32.1739i	0.836423	+	1.04884i	−0.161654	+	0.986847i	$0.551683\pi$
$942$	2.14581	−	3.52998i	0.0699143	−	0.115013i
$943$	1.94718	+	4.04335i	0.0634088	+	0.131670i
$944$	3.68971	−	16.1657i	0.120090	−	0.526147i
$945$	38.7093	+	5.23696i	1.25921	+	0.170358i
$946$	2.12512	+	9.31075i	0.0690935	+	0.302718i
$947$	−39.5202	+	31.5163i	−1.28423	+	1.02414i	−0.286417	+	0.958105i	$0.592464\pi$
$947$	−39.5202	+	31.5163i	−1.28423	+	1.02414i	−0.997817	+	0.0660374i	$0.978964\pi$
$948$	−34.0651	+	4.34978i	−1.10638	+	0.141274i
$949$	−53.2236			−1.72771
$950$	−5.54679			−0.179962
$951$	−2.66732	−	20.8890i	−0.0864938	−	0.677372i
$952$	−21.8819	+	3.48006i	−0.709198	+	0.112789i
$953$	17.9747	−	37.3249i	0.582258	−	1.20907i	−0.376913	−	0.926248i	$-0.623015\pi$
$953$	17.9747	−	37.3249i	0.582258	−	1.20907i	0.959172	−	0.282824i	$-0.0912711\pi$
$954$	1.54237	+	2.97419i	0.0499361	+	0.0962929i
$955$	−3.52003	+	0.803424i	−0.113906	+	0.0259982i
$956$	−28.9895	+	6.61668i	−0.937589	+	0.213999i
$957$	−28.6718	−	27.8352i	−0.926827	−	0.899785i
$958$	3.27473	−	6.80005i	0.105802	−	0.219700i
$959$	25.0843	−	44.2734i	0.810015	−	1.42966i
$960$	−20.7745	+	2.65270i	−0.670493	+	0.0856154i
$961$	30.5508			0.985510
$962$	13.9363			0.449324
$963$	−10.2610	+	52.0082i	−0.330655	+	1.67594i
$964$	32.0614	−	25.5681i	1.03263	−	0.823494i
$965$	−7.04500	−	30.8662i	−0.226787	−	0.993617i
$966$	−0.328358	−	1.12193i	−0.0105647	−	0.0360976i
$967$	−2.81471	+	12.3320i	−0.0905149	+	0.396572i	−0.999808	−	0.0195841i	$-0.993766\pi$
$967$	−2.81471	+	12.3320i	−0.0905149	+	0.396572i	0.909293	+	0.416156i	$0.136623\pi$
$968$	3.88182	+	8.06069i	0.124767	+	0.259080i
$969$	34.8462	+	21.1824i	1.11942	+	0.680477i
$970$	−8.85169	−	11.0997i	−0.284211	−	0.356389i
$971$	−4.32636	−	18.9550i	−0.138839	−	0.608295i	−0.995691	−	0.0927321i	$-0.970440\pi$
$971$	−4.32636	−	18.9550i	−0.138839	−	0.608295i	0.856852	−	0.515563i	$-0.172417\pi$
$972$	21.6373	+	18.6500i	0.694017	+	0.598198i
$973$	12.9093	+	3.86752i	0.413854	+	0.123987i
$974$	−5.17927	+	4.13033i	−0.165955	+	0.132344i
$975$	−13.9516	−	21.4909i	−0.446808	−	0.688260i
$976$	5.83865	−	12.1241i	0.186891	−	0.388082i
$977$	19.5083	+	15.5574i	0.624127	+	0.497725i	0.883734	−	0.467990i	$-0.155022\pi$
$977$	19.5083	+	15.5574i	0.624127	+	0.497725i	−0.259607	+	0.965714i	$0.583593\pi$
$978$	7.82367	+	4.75587i	0.250173	+	0.152076i
$979$			20.4364i			0.653152i
$980$	−12.7630	+	34.1393i	−0.407700	+	1.09054i
$981$	−17.4137	−	13.0627i	−0.555976	−	0.417061i
$982$	−1.64900	+	7.22475i	−0.0526218	+	0.230551i
$983$	−21.4476	+	26.8944i	−0.684071	+	0.857798i	−0.995722	−	0.0923988i	$-0.970547\pi$
$983$	−21.4476	+	26.8944i	−0.684071	+	0.857798i	0.311651	+	0.950197i	$0.399118\pi$
$984$	−13.6264	+	14.0359i	−0.434392	+	0.447447i
$985$	−39.3245	−	31.3602i	−1.25298	−	0.999220i
$986$	−7.69090	−	9.64409i	−0.244928	−	0.307130i
$987$	−8.58812	−	9.52886i	−0.273363	−	0.303307i
$988$	24.2528	−	30.4120i	0.771583	−	0.967535i
$989$	3.46922	−	0.791826i	0.110315	−	0.0251786i
$990$	−0.422080	−	14.2523i	−0.0134146	−	0.452969i
$991$	9.69176	−	42.4624i	0.307869	−	1.34886i	−0.550074	−	0.835116i	$-0.685400\pi$
$991$	9.69176	−	42.4624i	0.307869	−	1.34886i	0.857943	−	0.513745i	$-0.171742\pi$
$992$	2.64150	−	1.27208i	0.0838676	−	0.0403885i
$993$	24.3965	−	40.1336i	0.774201	−	1.27360i
$994$	1.66291	−	5.55060i	0.0527443	−	0.176054i
$995$	−18.6109	+	4.24782i	−0.590005	+	0.134665i
$996$	14.9204	+	40.6973i	0.472770	+	1.28954i
$997$	16.0621	+	33.3532i	0.508690	+	1.05631i	0.984276	+	0.176637i	$0.0565219\pi$
$997$	16.0621	+	33.3532i	0.508690	+	1.05631i	−0.475586	+	0.879669i	$0.657764\pi$
$998$			8.27668i			0.261994i
$999$	20.9182	+	30.2239i	0.661821	+	0.956243i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	147.2.k.a.83.8	yes	96
3.2	odd	2	inner	147.2.k.a.83.9	yes	96
49.13	odd	14	inner	147.2.k.a.62.9	yes	96
147.62	even	14	inner	147.2.k.a.62.8	✓	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
147.2.k.a.62.8	✓	96	147.62	even	14	inner
147.2.k.a.62.9	yes	96	49.13	odd	14	inner
147.2.k.a.83.8	yes	96	1.1	even	1	trivial
147.2.k.a.83.9	yes	96	3.2	odd	2	inner

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:	\( N \)	\(=\)	\( 147 = 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	147.k (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.399023 - 0.0910744i) q^{2} +(1.45277 - 0.943115i) q^{3} +(-1.65101 - 0.795086i) q^{4} +(1.77155 - 2.22145i) q^{5} +(-0.665581 + 0.244014i) q^{6} +(-2.45493 + 0.986562i) q^{7} +(1.22636 + 0.977992i) q^{8} +(1.22107 - 2.74025i) q^{9} +O(q^{10})\)	\(q+(-0.399023 - 0.0910744i) q^{2} +(1.45277 - 0.943115i) q^{3} +(-1.65101 - 0.795086i) q^{4} +(1.77155 - 2.22145i) q^{5} +(-0.665581 + 0.244014i) q^{6} +(-2.45493 + 0.986562i) q^{7} +(1.22636 + 0.977992i) q^{8} +(1.22107 - 2.74025i) q^{9} +(-0.909204 + 0.725066i) q^{10} +(-3.98455 - 0.909447i) q^{11} +(-3.14840 + 0.402019i) q^{12} +(4.69288 + 1.07112i) q^{13} +(1.06942 - 0.170079i) q^{14} +(0.478565 - 4.89802i) q^{15} +(1.88480 + 2.36346i) q^{16} +(4.81022 - 2.31648i) q^{17} +(-0.736802 + 0.982216i) q^{18} +4.40986i q^{19} +(-4.69109 + 2.25911i) q^{20} +(-2.63601 + 3.74853i) q^{21} +(1.50710 + 0.725780i) q^{22} +(0.270428 - 0.561550i) q^{23} +(2.70398 + 0.264194i) q^{24} +(-0.683853 - 2.99616i) q^{25} +(-1.77501 - 0.854801i) q^{26} +(-0.810442 - 5.13256i) q^{27} +(4.83753 + 0.323057i) q^{28} +(2.44930 + 5.08601i) q^{29} +(-0.637042 + 1.91084i) q^{30} +0.670225i q^{31} +(-1.89799 - 3.94121i) q^{32} +(-6.64633 + 2.43667i) q^{33} +(-2.13036 + 0.486240i) q^{34} +(-2.15743 + 7.20125i) q^{35} +(-4.19474 + 3.55334i) q^{36} +(-6.37330 + 3.06922i) q^{37} +(0.401625 - 1.75963i) q^{38} +(7.82785 - 2.86983i) q^{39} +(4.34512 - 0.991745i) q^{40} +(-4.48934 + 5.62946i) q^{41} +(1.39322 - 1.25568i) q^{42} +(3.55967 + 4.46368i) q^{43} +(5.85545 + 4.66956i) q^{44} +(-3.92415 - 7.56703i) q^{45} +(-0.159050 + 0.199442i) q^{46} +(-0.622897 + 2.72909i) q^{47} +(4.96718 + 1.65598i) q^{48} +(5.05339 - 4.84389i) q^{49} +1.25782i q^{50} +(4.80342 - 7.90189i) q^{51} +(-6.89637 - 5.49967i) q^{52} +(1.18390 - 2.45839i) q^{53} +(-0.144060 + 2.12182i) q^{54} +(-9.07909 + 7.24034i) q^{55} +(-3.97549 - 1.19102i) q^{56} +(4.15900 + 6.40650i) q^{57} +(-0.514119 - 2.25250i) q^{58} +(-3.41991 - 4.28844i) q^{59} +(-4.68446 + 7.70619i) q^{60} +(-1.93142 - 4.01064i) q^{61} +(0.0610403 - 0.267435i) q^{62} +(-0.294216 + 7.93180i) q^{63} +(-0.946955 - 4.14888i) q^{64} +(10.6931 - 8.52745i) q^{65} +(2.87396 - 0.366976i) q^{66} +3.62438 q^{67} -9.78353 q^{68} +(-0.136736 - 1.07085i) q^{69} +(1.51671 - 2.67698i) q^{70} +(2.32168 - 4.82103i) q^{71} +(4.17742 - 2.16635i) q^{72} +(-10.7798 + 2.46042i) q^{73} +(2.82262 - 0.644245i) q^{74} +(-3.81920 - 3.70777i) q^{75} +(3.50622 - 7.28073i) q^{76} +(10.6790 - 1.69837i) q^{77} +(-3.38486 + 0.432213i) q^{78} +10.8198 q^{79} +8.58931 q^{80} +(-6.01798 - 6.69208i) q^{81} +(2.30405 - 1.83742i) q^{82} +(-3.03892 - 13.3144i) q^{83} +(7.33248 - 4.09302i) q^{84} +(3.37558 - 14.7894i) q^{85} +(-1.01386 - 2.10531i) q^{86} +(8.35495 + 5.07883i) q^{87} +(-3.99707 - 5.01217i) q^{88} +(-1.11268 - 4.87497i) q^{89} +(0.876663 + 3.37681i) q^{90} +(-12.5774 + 2.00029i) q^{91} +(-0.892961 + 0.712112i) q^{92} +(0.632099 + 0.973681i) q^{93} +(0.497101 - 1.03224i) q^{94} +(9.79627 + 7.81226i) q^{95} +(-6.47435 - 3.93564i) q^{96} +12.2081i q^{97} +(-2.45757 + 1.47259i) q^{98} +(-7.35752 + 9.80817i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9}+O(q^{10}) \) 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9	\( 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9} - 14 q^{10} - 42 q^{12} - 14 q^{13} - 5 q^{15} - 22 q^{16} - 18 q^{18} - 7 q^{21} + 4 q^{22} - 7 q^{24} - 26 q^{25} - 28 q^{27} + 28 q^{28} - 20 q^{30} - 7 q^{33} - 70 q^{34} - 37 q^{36} + 38 q^{37} - 9 q^{39} - 28 q^{40} + 7 q^{42} - 18 q^{43} + 14 q^{45} + 62 q^{46} + 14 q^{49} - q^{51} + 112 q^{52} - 7 q^{54} - 56 q^{55} + q^{57} - 84 q^{58} + 111 q^{60} + 84 q^{61} - 7 q^{63} - 2 q^{64} + 21 q^{66} - 16 q^{67} - 91 q^{69} - 70 q^{70} - 27 q^{72} - 14 q^{73} + 119 q^{75} + 210 q^{76} - 87 q^{78} - 32 q^{79} - 71 q^{81} - 84 q^{82} + 154 q^{84} + 46 q^{85} + 49 q^{87} - 22 q^{88} + 203 q^{90} - 42 q^{91} + 53 q^{93} - 42 q^{94} - 28 q^{96} + 100 q^{99}+O(q^{100}) \) 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9 - 14 * q^10 - 42 * q^12 - 14 * q^13 - 5 * q^15 - 22 * q^16 - 18 * q^18 - 7 * q^21 + 4 * q^22 - 7 * q^24 - 26 * q^25 - 28 * q^27 + 28 * q^28 - 20 * q^30 - 7 * q^33 - 70 * q^34 - 37 * q^36 + 38 * q^37 - 9 * q^39 - 28 * q^40 + 7 * q^42 - 18 * q^43 + 14 * q^45 + 62 * q^46 + 14 * q^49 - q^51 + 112 * q^52 - 7 * q^54 - 56 * q^55 + q^57 - 84 * q^58 + 111 * q^60 + 84 * q^61 - 7 * q^63 - 2 * q^64 + 21 * q^66 - 16 * q^67 - 91 * q^69 - 70 * q^70 - 27 * q^72 - 14 * q^73 + 119 * q^75 + 210 * q^76 - 87 * q^78 - 32 * q^79 - 71 * q^81 - 84 * q^82 + 154 * q^84 + 46 * q^85 + 49 * q^87 - 22 * q^88 + 203 * q^90 - 42 * q^91 + 53 * q^93 - 42 * q^94 - 28 * q^96 + 100 * q^99

Introduction

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