LMFDB - Embedded newform 504.2.cq.a.277.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(277,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))

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

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

chi := DirichletCharacter("504.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cq (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			277.8
Character	$\chi$	$=$	504.277
Dual form			504.2.cq.a.373.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38729 + 0.274643i) q^{2} +(0.170331 + 1.72366i) q^{3} +(1.84914 - 0.762020i) q^{4} +(2.08943 + 1.20633i) q^{5} +(-0.709689 - 2.34443i) q^{6} +(0.664788 + 2.56087i) q^{7} +(-2.35601 + 1.56500i) q^{8} +(-2.94197 + 0.587183i) q^{9} +O(q^{10})$	\(q+(-1.38729 + 0.274643i) q^{2} +(0.170331 + 1.72366i) q^{3} +(1.84914 - 0.762020i) q^{4} +(2.08943 + 1.20633i) q^{5} +(-0.709689 - 2.34443i) q^{6} +(0.664788 + 2.56087i) q^{7} +(-2.35601 + 1.56500i) q^{8} +(-2.94197 + 0.587183i) q^{9} +(-3.22995 - 1.09968i) q^{10} +(-0.0840799 + 0.0485436i) q^{11} +(1.62843 + 3.05749i) q^{12} +(-1.25114 + 0.722344i) q^{13} +(-1.62558 - 3.37009i) q^{14} +(-1.72341 + 3.80693i) q^{15} +(2.83865 - 2.81817i) q^{16} +(-3.63348 + 6.29337i) q^{17} +(3.92010 - 1.62259i) q^{18} +(6.43476 - 3.71511i) q^{19} +(4.78290 + 0.638493i) q^{20} +(-4.30082 + 1.58206i) q^{21} +(0.103311 - 0.0904360i) q^{22} +(1.36422 - 2.36290i) q^{23} +(-3.09882 - 3.79438i) q^{24} +(0.410473 + 0.710960i) q^{25} +(1.53730 - 1.34572i) q^{26} +(-1.51321 - 4.97094i) q^{27} +(3.18072 + 4.22883i) q^{28} +(-3.38573 - 1.95475i) q^{29} +(1.34531 - 5.75463i) q^{30} +4.57123 q^{31} +(-3.16404 + 4.68923i) q^{32} +(-0.0979938 - 0.136656i) q^{33} +(3.31225 - 9.72863i) q^{34} +(-1.70023 + 6.15271i) q^{35} +(-4.99268 + 3.32763i) q^{36} +(-0.211830 + 0.122300i) q^{37} +(-7.90654 + 6.92119i) q^{38} +(-1.45818 - 2.03349i) q^{39} +(-6.81062 + 0.427817i) q^{40} +(4.81222 + 8.33501i) q^{41} +(5.53198 - 3.37597i) q^{42} +(1.39767 + 0.806947i) q^{43} +(-0.118485 + 0.153835i) q^{44} +(-6.85538 - 2.32212i) q^{45} +(-1.24361 + 3.65270i) q^{46} -6.09046 q^{47} +(5.34106 + 4.41284i) q^{48} +(-6.11611 + 3.40487i) q^{49} +(-0.764705 - 0.873573i) q^{50} +(-11.4665 - 5.19091i) q^{51} +(-1.76309 + 2.28911i) q^{52} +(-6.46647 - 3.73342i) q^{53} +(3.46449 + 6.48053i) q^{54} -0.234239 q^{55} +(-5.57400 - 4.99305i) q^{56} +(7.49960 + 10.4585i) q^{57} +(5.23385 + 1.78194i) q^{58} -2.90077i q^{59} +(-0.285868 + 8.35282i) q^{60} -11.4115i q^{61} +(-6.34161 + 1.25546i) q^{62} +(-3.45949 - 7.14366i) q^{63} +(3.10157 - 7.37430i) q^{64} -3.48555 q^{65} +(0.173477 + 0.162669i) q^{66} +9.88840i q^{67} +(-1.92315 + 14.4061i) q^{68} +(4.30519 + 1.94897i) q^{69} +(0.668913 - 9.00254i) q^{70} -0.788945 q^{71} +(6.01238 - 5.98759i) q^{72} +(-6.26317 + 10.8481i) q^{73} +(0.260280 - 0.227843i) q^{74} +(-1.15553 + 0.828612i) q^{75} +(9.06779 - 11.7732i) q^{76} +(-0.180209 - 0.183047i) q^{77} +(2.58140 + 2.42056i) q^{78} -0.665586 q^{79} +(9.33080 - 2.46400i) q^{80} +(8.31043 - 3.45496i) q^{81} +(-8.96509 - 10.2414i) q^{82} +(14.2300 + 8.21571i) q^{83} +(-6.74727 + 6.20277i) q^{84} +(-15.1838 + 8.76636i) q^{85} +(-2.16060 - 0.735607i) q^{86} +(2.79263 - 6.16879i) q^{87} +(0.122123 - 0.245954i) q^{88} +(2.07118 + 3.58739i) q^{89} +(10.1482 + 1.33867i) q^{90} +(-2.68157 - 2.72379i) q^{91} +(0.722061 - 5.40890i) q^{92} +(0.778621 + 7.87922i) q^{93} +(8.44923 - 1.67271i) q^{94} +17.9266 q^{95} +(-8.62154 - 4.65499i) q^{96} +(7.01603 - 12.1521i) q^{97} +(7.54969 - 6.40329i) q^{98} +(0.218857 - 0.192184i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.38729	+	0.274643i	−0.980962	+	0.194202i
$2$	−1.38729	+	0.274643i	−0.980962	+	0.194202i
$3$	0.170331	+	1.72366i	0.0983405	+	0.995153i
$3$	0.170331	+	1.72366i	0.0983405	+	0.995153i
$4$	1.84914	−	0.762020i	0.924571	−	0.381010i
$5$	2.08943	+	1.20633i	0.934421	+	0.539488i	0.888207	−	0.459444i	$-0.151951\pi$
$5$	2.08943	+	1.20633i	0.934421	+	0.539488i	0.0462136	+	0.998932i	$0.485284\pi$
$6$	−0.709689	−	2.34443i	−0.289729	−	0.957109i
$7$	0.664788	+	2.56087i	0.251266	+	0.967918i
$7$	0.664788	+	2.56087i	0.251266	+	0.967918i
$8$	−2.35601	+	1.56500i	−0.832976	+	0.553310i
$9$	−2.94197	+	0.587183i	−0.980658	+	0.195728i
$10$	−3.22995	−	1.09968i	−1.02140	−	0.347750i
$11$	−0.0840799	+	0.0485436i	−0.0253511	+	0.0146364i	−0.512622	−	0.858614i	$-0.671326\pi$
$11$	−0.0840799	+	0.0485436i	−0.0253511	+	0.0146364i	0.487271	+	0.873251i	$0.337992\pi$
$12$	1.62843	+	3.05749i	0.470086	+	0.882621i
$13$	−1.25114	+	0.722344i	−0.347003	+	0.200342i	−0.663364	−	0.748296i	$-0.730872\pi$
$13$	−1.25114	+	0.722344i	−0.347003	+	0.200342i	0.316362	+	0.948639i	$0.397539\pi$
$14$	−1.62558	−	3.37009i	−0.434454	−	0.900694i
$15$	−1.72341	+	3.80693i	−0.444982	+	0.982945i
$16$	2.83865	−	2.81817i	0.709663	−	0.704541i
$17$	−3.63348	+	6.29337i	−0.881248	+	1.52637i	−0.0312928	+	0.999510i	$0.509962\pi$
$17$	−3.63348	+	6.29337i	−0.881248	+	1.52637i	−0.849955	+	0.526855i	$0.823371\pi$
$18$	3.92010	−	1.62259i	0.923977	−	0.382447i
$19$	6.43476	−	3.71511i	1.47623	−	0.852304i	0.476594	−	0.879123i	$-0.341871\pi$
$19$	6.43476	−	3.71511i	1.47623	−	0.852304i	0.999640	+	0.0268188i	$0.00853772\pi$
$20$	4.78290	+	0.638493i	1.06949	+	0.142771i
$21$	−4.30082	+	1.58206i	−0.938517	+	0.345234i
$22$	0.103311	−	0.0904360i	0.0220260	−	0.0192810i
$23$	1.36422	−	2.36290i	0.284460	−	0.492698i	−0.688018	−	0.725693i	$-0.741519\pi$
$23$	1.36422	−	2.36290i	0.284460	−	0.492698i	0.972478	+	0.232995i	$0.0748525\pi$
$24$	−3.09882	−	3.79438i	−0.632543	−	0.774525i
$25$	0.410473	+	0.710960i	0.0820946	+	0.142192i
$26$	1.53730	−	1.34572i	0.301490	−	0.263917i
$27$	−1.51321	−	4.97094i	−0.291217	−	0.956657i
$28$	3.18072	+	4.22883i	0.601100	+	0.799174i
$29$	−3.38573	−	1.95475i	−0.628715	−	0.362988i	0.151540	−	0.988451i	$-0.451577\pi$
$29$	−3.38573	−	1.95475i	−0.628715	−	0.362988i	−0.780254	+	0.625463i	$0.784910\pi$
$30$	1.34531	−	5.75463i	0.245620	−	1.05065i
$31$	4.57123			0.821017			0.410508	−	0.911857i	$-0.365351\pi$
$31$	4.57123			0.821017			0.410508	+	0.911857i	$0.365351\pi$
$32$	−3.16404	+	4.68923i	−0.559329	+	0.828946i
$33$	−0.0979938	−	0.136656i	−0.0170585	−	0.0237888i
$34$	3.31225	−	9.72863i	0.568046	−	1.66845i
$35$	−1.70023	+	6.15271i	−0.287392	+	1.04000i
$36$	−4.99268	+	3.32763i	−0.832114	+	0.554605i
$37$	−0.211830	+	0.122300i	−0.0348246	+	0.0201060i	−0.517311	−	0.855797i	$-0.673067\pi$
$37$	−0.211830	+	0.122300i	−0.0348246	+	0.0201060i	0.482487	+	0.875903i	$0.339734\pi$
$38$	−7.90654	+	6.92119i	−1.28261	+	1.12277i
$39$	−1.45818	−	2.03349i	−0.233496	−	0.325619i
$40$	−6.81062	+	0.427817i	−1.07685	+	0.0676438i
$41$	4.81222	+	8.33501i	0.751542	+	1.30171i	0.947075	+	0.321012i	$0.104023\pi$
$41$	4.81222	+	8.33501i	0.751542	+	1.30171i	−0.195533	+	0.980697i	$0.562644\pi$
$42$	5.53198	−	3.37597i	0.853604	−	0.520923i
$43$	1.39767	+	0.806947i	0.213143	+	0.123058i	0.602771	−	0.797914i	$-0.294063\pi$
$43$	1.39767	+	0.806947i	0.213143	+	0.123058i	−0.389628	+	0.920972i	$0.627396\pi$
$44$	−0.118485	+	0.153835i	−0.0178622	+	0.0231914i
$45$	−6.85538	−	2.32212i	−1.02194	−	0.346161i
$46$	−1.24361	+	3.65270i	−0.183361	+	0.538561i
$47$	−6.09046			−0.888385			−0.444193	−	0.895931i	$-0.646509\pi$
$47$	−6.09046			−0.888385			−0.444193	+	0.895931i	$0.646509\pi$
$48$	5.34106	+	4.41284i	0.770915	+	0.636938i
$49$	−6.11611	+	3.40487i	−0.873731	+	0.486410i
$50$	−0.764705	−	0.873573i	−0.108146	−	0.123542i
$51$	−11.4665	−	5.19091i	−1.60563	−	0.726872i
$52$	−1.76309	+	2.28911i	−0.244496	+	0.317442i
$53$	−6.46647	−	3.73342i	−0.888238	−	0.512824i	−0.0148722	−	0.999889i	$-0.504734\pi$
$53$	−6.46647	−	3.73342i	−0.888238	−	0.512824i	−0.873366	+	0.487065i	$0.838067\pi$
$54$	3.46449	+	6.48053i	0.471458	+	0.881889i
$55$	−0.234239			−0.0315847
$56$	−5.57400	−	4.99305i	−0.744857	−	0.667224i
$57$	7.49960	+	10.4585i	0.993347	+	1.38526i
$58$	5.23385	+	1.78194i	0.687238	+	0.233980i
$59$		−	2.90077i		−	0.377649i	−0.982011	−	0.188824i	$-0.939532\pi$
$59$		−	2.90077i		−	0.377649i	0.982011	−	0.188824i	$-0.0604676\pi$
$60$	−0.285868	+	8.35282i	−0.0369054	+	1.07834i
$61$		−	11.4115i		−	1.46109i	−0.682864	−	0.730546i	$-0.739266\pi$
$61$		−	11.4115i		−	1.46109i	0.682864	−	0.730546i	$-0.260734\pi$
$62$	−6.34161	+	1.25546i	−0.805386	+	0.159443i
$63$	−3.45949	−	7.14366i	−0.435855	−	0.900017i
$64$	3.10157	−	7.37430i	0.387697	−	0.921787i
$65$	−3.48555			−0.432329
$66$	0.173477	+	0.162669i	0.0213536	+	0.0200231i
$67$			9.88840i			1.20806i	0.796962	+	0.604030i	$0.206439\pi$
$67$			9.88840i			1.20806i	−0.796962	+	0.604030i	$0.793561\pi$
$68$	−1.92315	+	14.4061i	−0.233216	+	1.74700i
$69$	4.30519	+	1.94897i	0.518284	+	0.234628i
$70$	0.668913	−	9.00254i	0.0799504	−	1.07601i
$71$	−0.788945			−0.0936306			−0.0468153	−	0.998904i	$-0.514907\pi$
$71$	−0.788945			−0.0936306			−0.0468153	+	0.998904i	$0.514907\pi$
$72$	6.01238	−	5.98759i	0.708566	−	0.705644i
$73$	−6.26317	+	10.8481i	−0.733049	+	1.26968i	0.222525	+	0.974927i	$0.428570\pi$
$73$	−6.26317	+	10.8481i	−0.733049	+	1.26968i	−0.955574	+	0.294751i	$0.904763\pi$
$74$	0.260280	−	0.227843i	0.0302569	−	0.0264862i
$75$	−1.15553	+	0.828612i	−0.133429	+	0.0956799i
$76$	9.06779	−	11.7732i	1.04015	−	1.35048i
$77$	−0.180209	−	0.183047i	−0.0205367	−	0.0208601i
$78$	2.58140	+	2.42056i	0.292286	+	0.274075i
$79$	−0.665586			−0.0748842			−0.0374421	−	0.999299i	$-0.511921\pi$
$79$	−0.665586			−0.0748842			−0.0374421	+	0.999299i	$0.511921\pi$
$80$	9.33080	−	2.46400i	1.04322	−	0.275483i
$81$	8.31043	−	3.45496i	0.923381	−	0.383884i
$82$	−8.96509	−	10.2414i	−0.990029	−	1.13098i
$83$	14.2300	+	8.21571i	1.56195	+	0.901792i	0.997060	+	0.0766248i	$0.0244144\pi$
$83$	14.2300	+	8.21571i	1.56195	+	0.901792i	0.564889	+	0.825167i	$0.308919\pi$
$84$	−6.74727	+	6.20277i	−0.736188	+	0.676777i
$85$	−15.1838	+	8.76636i	−1.64691	+	0.950845i
$86$	−2.16060	−	0.735607i	−0.232983	−	0.0793225i
$87$	2.79263	−	6.16879i	0.299401	−	0.661364i
$88$	0.122123	−	0.245954i	0.0130183	−	0.0262188i
$89$	2.07118	+	3.58739i	0.219545	+	0.380263i	0.954669	−	0.297670i	$-0.0962094\pi$
$89$	2.07118	+	3.58739i	0.219545	+	0.380263i	−0.735124	+	0.677933i	$0.762876\pi$
$90$	10.1482	+	1.33867i	1.06971	+	0.141108i
$91$	−2.68157	−	2.72379i	−0.281105	−	0.285531i
$92$	0.722061	−	5.40890i	0.0752801	−	0.563916i
$93$	0.778621	+	7.87922i	0.0807392	+	0.817037i
$94$	8.44923	−	1.67271i	0.871472	−	0.172526i
$95$	17.9266			1.83923
$96$	−8.62154	−	4.65499i	−0.879933	−	0.475098i
$97$	7.01603	−	12.1521i	0.712370	−	1.23386i	−0.251596	−	0.967832i	$-0.580955\pi$
$97$	7.01603	−	12.1521i	0.712370	−	1.23386i	0.963965	−	0.266028i	$-0.0857114\pi$
$98$	7.54969	−	6.40329i	0.762634	−	0.646830i
$99$	0.218857	−	0.192184i	0.0219960	−	0.0193152i
$100$	1.30079	+	1.00188i	0.130079	+	0.100188i
$101$	13.5990	−	7.85140i	1.35315	−	0.781244i	0.364464	−	0.931218i	$-0.381252\pi$
$101$	13.5990	−	7.85140i	1.35315	−	0.781244i	0.988690	+	0.149974i	$0.0479189\pi$
$102$	17.3330	+	4.05209i	1.71622	+	0.401217i
$103$	2.99232	−	5.18284i	0.294842	−	0.510681i	−0.680106	−	0.733113i	$-0.738066\pi$
$103$	2.99232	−	5.18284i	0.294842	−	0.510681i	0.974948	+	0.222433i	$0.0713997\pi$
$104$	1.81723	−	3.65988i	0.178194	−	0.358880i
$105$	−10.8948	−	1.88262i	−1.06322	−	0.183725i
$106$	9.99622	+	3.40336i	0.970919	+	0.330563i
$107$	6.72330	−	3.88170i	0.649966	−	0.375258i	−0.138477	−	0.990366i	$-0.544221\pi$
$107$	6.72330	−	3.88170i	0.649966	−	0.375258i	0.788443	+	0.615108i	$0.210887\pi$
$108$	−6.58609	−	8.03887i	−0.633747	−	0.773540i
$109$	10.6179	+	6.13025i	1.01701	+	0.587171i	0.913237	−	0.407430i	$-0.133575\pi$
$109$	10.6179	+	6.13025i	1.01701	+	0.587171i	0.103774	+	0.994601i	$0.466908\pi$
$110$	0.324957	−	0.0643321i	0.0309834	−	0.00613383i
$111$	−0.246884	−	0.344290i	−0.0234332	−	0.0326785i
$112$	9.10406	+	5.39594i	0.860253	+	0.509868i
$113$	−2.07814	−	3.59944i	−0.195495	−	0.338607i	0.751568	−	0.659656i	$-0.229298\pi$
$113$	−2.07814	−	3.59944i	−0.195495	−	0.338607i	−0.947063	+	0.321049i	$0.895965\pi$
$114$	−13.2765	−	12.4493i	−1.24346	−	1.16598i
$115$	5.70088	−	3.29140i	0.531610	−	0.306925i
$116$	−7.75026	−	1.03462i	−0.719593	−	0.0960622i
$117$	3.25667	−	2.85977i	0.301079	−	0.264385i
$118$	0.796678	+	4.02421i	0.0733402	+	0.370459i
$119$	−18.5320	−	5.12111i	−1.69882	−	0.469451i
$120$	−1.89747	−	11.6663i	−0.173214	−	1.06498i
$121$	−5.49529	+	9.51812i	−0.499572	+	0.865283i
$122$	3.13409	+	15.8310i	0.283747	+	1.43327i
$123$	−13.5470	+	9.71432i	−1.22149	+	0.875910i
$124$	8.45285	−	3.48337i	0.759088	−	0.312815i
$125$		−	10.0827i		−	0.901820i
$126$	6.76127	+	8.96020i	0.602342	+	0.798238i
$127$	1.21129			0.107485			0.0537423	−	0.998555i	$-0.482885\pi$
$127$	1.21129			0.107485			0.0537423	+	0.998555i	$0.482885\pi$
$128$	−2.27748	+	11.0821i	−0.201302	+	0.979529i
$129$	−1.15283	+	2.54655i	−0.101501	+	0.224212i
$130$	4.83546	−	0.957283i	0.424098	−	0.0839593i
$131$	2.57462	+	1.48646i	0.224946	+	0.129872i	0.608238	−	0.793755i	$-0.291877\pi$
$131$	2.57462	+	1.48646i	0.224946	+	0.129872i	−0.383293	+	0.923627i	$0.625210\pi$
$132$	−0.285339	−	0.178024i	−0.0248356	−	0.0154950i
$133$	13.7917	+	14.0088i	1.19589	+	1.21472i
$134$	−2.71578	−	13.7181i	−0.234608	−	1.18506i
$135$	2.83485	−	12.2118i	0.243985	−	1.05103i
$136$	−1.28859	−	20.5136i	−0.110495	−	1.75903i
$137$	−2.23428	−	3.86988i	−0.190887	−	0.330626i	0.754657	−	0.656119i	$-0.227803\pi$
$137$	−2.23428	−	3.86988i	−0.190887	−	0.330626i	−0.945545	+	0.325493i	$0.894470\pi$
$138$	−6.50782	−	1.52139i	−0.553982	−	0.129510i
$139$	−1.26908	+	0.732703i	−0.107642	+	0.0621471i	−0.552854	−	0.833278i	$-0.686461\pi$
$139$	−1.26908	+	0.732703i	−0.107642	+	0.0621471i	0.445213	+	0.895425i	$0.353128\pi$
$140$	1.54451	+	12.6728i	0.130535	+	1.07105i
$141$	−1.03739	−	10.4979i	−0.0873643	−	0.884079i
$142$	1.09450	−	0.216679i	0.0918480	−	0.0181833i
$143$	0.0701303	−	0.121469i	0.00586459	−	0.0101578i
$144$	−6.69646	+	9.95778i	−0.558039	+	0.829815i
$145$	−4.71616	−	8.16863i	−0.391656	−	0.678368i
$146$	5.70946	−	16.7696i	0.472519	−	1.38787i
$147$	−6.91059	−	9.96212i	−0.569976	−	0.821662i
$148$	−0.298508	+	0.387568i	−0.0245372	+	0.0318579i
$149$	8.64683	+	4.99225i	0.708376	+	0.408981i	0.810459	−	0.585795i	$-0.199218\pi$
$149$	8.64683	+	4.99225i	0.708376	+	0.408981i	−0.102084	+	0.994776i	$0.532551\pi$
$150$	1.37549	−	1.46688i	0.112308	−	0.119771i
$151$	−2.47837	−	4.29267i	−0.201687	−	0.349332i	0.747385	−	0.664391i	$-0.231309\pi$
$151$	−2.47837	−	4.29267i	−0.201687	−	0.349332i	−0.949072	+	0.315059i	$0.897976\pi$
$152$	−9.34623	+	18.8232i	−0.758079	+	1.52676i
$153$	6.99424	−	20.6484i	0.565451	−	1.66933i
$154$	0.300275	+	0.204445i	0.0241968	+	0.0164747i
$155$	9.55125	+	5.51442i	0.767175	+	0.442929i
$156$	−4.24594	−	2.64905i	−0.339947	−	0.212094i
$157$			8.35003i			0.666405i	0.942855	+	0.333202i	$0.108129\pi$
$157$			8.35003i			0.666405i	−0.942855	+	0.333202i	$0.891871\pi$
$158$	0.923360	−	0.182799i	0.0734586	−	0.0145427i
$159$	5.33369	−	11.7819i	0.422989	−	0.934364i
$160$	−12.2678	+	5.98092i	−0.969855	+	0.472833i
$161$	6.95799	+	1.92276i	0.548367	+	0.151535i
$162$	−10.5801	+	7.07543i	−0.831250	+	0.555898i
$163$	15.4078	−	8.89568i	1.20683	−	0.696764i	0.244765	−	0.969583i	$-0.421289\pi$
$163$	15.4078	−	8.89568i	1.20683	−	0.696764i	0.962065	+	0.272819i	$0.0879560\pi$
$164$	15.2499	+	11.7456i	1.19082	+	0.917178i
$165$	−0.0398980	−	0.403747i	−0.00310606	−	0.0314316i
$166$	−21.9976	−	7.48938i	−1.70734	−	0.581289i
$167$	−6.88504	−	11.9252i	−0.532781	−	0.922803i	−0.999267	−	0.0382749i	$-0.987814\pi$
$167$	−6.88504	−	11.9252i	−0.532781	−	0.922803i	0.466487	−	0.884528i	$-0.345520\pi$
$168$	7.65687	−	10.4581i	0.590740	−	0.806862i
$169$	−5.45644	+	9.45083i	−0.419726	+	0.726987i
$170$	18.6567	−	16.3316i	1.43090	−	1.25258i
$171$	−16.7494	+	14.7081i	−1.28086	+	1.12476i
$172$	3.19941	+	0.427105i	0.243952	+	0.0325664i
$173$		−	17.4927i		−	1.32995i	−0.746867	−	0.664973i	$-0.768443\pi$
$173$		−	17.4927i		−	1.32995i	0.746867	−	0.664973i	$-0.231557\pi$
$174$	−2.17996	+	9.32487i	−0.165262	+	0.706916i
$175$	−1.54780	+	1.52381i	−0.117003	+	0.115189i
$176$	−0.101870	+	0.374749i	−0.00767873	+	0.0282478i
$177$	4.99993	−	0.494091i	0.375818	−	0.0371382i
$178$	−3.85858	−	4.40791i	−0.289213	−	0.330387i
$179$	−7.46520	−	4.31004i	−0.557975	−	0.322147i	0.194357	−	0.980931i	$-0.437738\pi$
$179$	−7.46520	−	4.31004i	−0.557975	−	0.322147i	−0.752333	+	0.658784i	$0.771071\pi$
$180$	−14.4461	+	0.930005i	−1.07675	+	0.0693185i
$181$			18.7583i			1.39429i	0.716929	+	0.697146i	$0.245547\pi$
$181$			18.7583i			1.39429i	−0.716929	+	0.697146i	$0.754453\pi$
$182$	4.46819	+	3.04221i	0.331204	+	0.225504i
$183$	19.6695	−	1.94373i	1.45401	−	0.143685i
$184$	0.483811	+	7.70201i	0.0356670	+	0.567800i
$185$	−0.590137			−0.0433877
$186$	−3.24415	−	10.7169i	−0.237872	−	0.785802i
$187$		−	0.705528i		−	0.0515933i
$188$	−11.2621	+	4.64105i	−0.821375	+	0.338484i
$189$	11.7240	−	7.17975i	0.852792	−	0.522250i
$190$	−24.8694	+	4.92343i	−1.80422	+	0.357183i
$191$	22.9743			1.66236			0.831180	−	0.556004i	$-0.187666\pi$
$191$	22.9743			1.66236			0.831180	+	0.556004i	$0.187666\pi$
$192$	13.2390	+	4.08997i	0.955445	+	0.295168i
$193$	6.87871			0.495141			0.247570	−	0.968870i	$-0.420368\pi$
$193$	6.87871			0.495141			0.247570	+	0.968870i	$0.420368\pi$
$194$	−6.39576	+	18.7854i	−0.459189	+	1.34871i
$195$	−0.593696	−	6.00788i	−0.0425155	−	0.430233i
$196$	−8.71498	+	10.9567i	−0.622499	+	0.782621i
$197$			5.98618i			0.426497i	0.976998	+	0.213249i	$0.0684045\pi$
$197$			5.98618i			0.426497i	−0.976998	+	0.213249i	$0.931596\pi$
$198$	−0.250836	+	0.326723i	−0.0178261	+	0.0232192i
$199$	−10.1329	+	17.5507i	−0.718301	+	1.24413i	0.243371	+	0.969933i	$0.421747\pi$
$199$	−10.1329	+	17.5507i	−0.718301	+	1.24413i	−0.961672	+	0.274201i	$0.911587\pi$
$200$	−2.07973	−	1.03264i	−0.147059	−	0.0730187i
$201$	−17.0442	+	1.68430i	−1.20220	+	0.118801i
$202$	−16.7094	+	14.6270i	−1.17567	+	1.02916i
$203$	2.75507	−	9.96992i	0.193368	−	0.699751i
$204$	−25.1587	−	0.861035i	−1.76146	−	0.0602845i
$205$			23.2205i			1.62179i
$206$	−2.72777	+	8.01192i	−0.190053	+	0.558217i
$207$	−2.62605	+	7.75263i	−0.182523	+	0.538845i
$208$	−1.51586	+	5.57639i	−0.105106	+	0.386653i
$209$	−0.360689	+	0.624732i	−0.0249494	+	0.0432136i
$210$	15.6312	−	0.380436i	1.07866	−	0.0262525i
$211$	16.8199	−	9.71097i	1.15793	−	0.668531i	0.207123	−	0.978315i	$-0.433590\pi$
$211$	16.8199	−	9.71097i	1.15793	−	0.668531i	0.950807	+	0.309784i	$0.100257\pi$
$212$	−14.8024	−	1.97604i	−1.01663	−	0.135715i
$213$	−0.134382	−	1.35987i	−0.00920768	−	0.0931767i
$214$	−8.26108	+	7.23155i	−0.564716	+	0.494339i
$215$	1.94689	+	3.37211i	0.132777	+	0.229976i
$216$	11.3446	+	9.34341i	0.771905	+	0.635738i
$217$	3.03890	+	11.7063i	0.206294	+	0.794677i
$218$	−16.4137	−	5.58829i	−1.11168	−	0.378487i
$219$	−19.7653	−	8.94778i	−1.33561	−	0.604635i
$220$	−0.433140	+	0.178494i	−0.0292023	+	0.0120341i
$221$		−	10.4985i		−	0.706205i
$222$	0.437056	+	0.409824i	0.0293333	+	0.0275056i
$223$	6.70040	−	11.6054i	0.448692	−	0.777158i	−0.549609	−	0.835422i	$-0.685223\pi$
$223$	6.70040	−	11.6054i	0.448692	−	0.777158i	0.998301	+	0.0582643i	$0.0185566\pi$
$224$	−14.1119	−	4.98535i	−0.942892	−	0.333098i
$225$	−1.62506	−	1.85060i	−0.108338	−	0.123374i
$226$	3.87154	+	4.42272i	0.257531	+	0.294195i
$227$	2.91336	−	1.68203i	0.193366	−	0.111640i	−0.400191	−	0.916432i	$-0.631056\pi$
$227$	2.91336	−	1.68203i	0.193366	−	0.111640i	0.593558	+	0.804792i	$0.297723\pi$
$228$	21.8374	+	13.6244i	1.44622	+	0.902299i
$229$	−12.3910	−	7.15394i	−0.818820	−	0.472746i	0.0311897	−	0.999513i	$-0.490070\pi$
$229$	−12.3910	−	7.15394i	−0.818820	−	0.472746i	−0.850009	+	0.526768i	$0.823404\pi$
$230$	−7.00480	+	6.13184i	−0.461883	+	0.404321i
$231$	0.284814	−	0.341797i	0.0187394	−	0.0224886i
$232$	11.0360	−	0.693239i	0.724549	−	0.0455134i
$233$	6.55928	+	11.3610i	0.429712	+	0.744284i	0.996848	−	0.0793410i	$-0.0252816\pi$
$233$	6.55928	+	11.3610i	0.429712	+	0.744284i	−0.567135	+	0.823625i	$0.691948\pi$
$234$	−3.73252	+	4.86174i	−0.244002	+	0.317822i
$235$	−12.7256	−	7.34712i	−0.830126	−	0.479273i
$236$	−2.21045	−	5.36394i	−0.143888	−	0.349163i
$237$	−0.113370	−	1.14724i	−0.00736416	−	0.0745213i
$238$	27.1157	+	2.01477i	1.75765	+	0.130598i
$239$	4.87996	+	8.45235i	0.315659	+	0.546737i	0.979577	−	0.201068i	$-0.0644412\pi$
$239$	4.87996	+	8.45235i	0.315659	+	0.546737i	−0.663919	+	0.747805i	$0.731108\pi$
$240$	5.83641	+	15.6634i	0.376738	+	1.01107i
$241$	7.88806	+	13.6625i	0.508114	+	0.880080i	0.999956	+	0.00939523i	$0.00299064\pi$
$241$	7.88806	+	13.6625i	0.508114	+	0.880080i	−0.491841	+	0.870685i	$0.663676\pi$
$242$	5.00946	−	14.7136i	0.322020	−	0.945828i
$243$	7.37068	+	13.7358i	0.472829	+	0.881154i
$244$	−8.69578	−	21.1015i	−0.556690	−	1.35088i
$245$	−16.8866	−	0.263827i	−1.07884	−	0.0168553i
$246$	16.1256	−	17.1972i	1.02813	−	1.09645i
$247$	−5.36718	+	9.29622i	−0.341505	+	0.591504i
$248$	−10.7699	+	7.15395i	−0.683887	+	0.454277i
$249$	−11.7372	+	25.9271i	−0.743818	+	1.64306i
$250$	2.76913	+	13.9876i	0.175135	+	0.884651i
$251$		−	4.87338i		−	0.307605i	−0.988102	−	0.153802i	$-0.950848\pi$
$251$		−	4.87338i		−	0.307605i	0.988102	−	0.153802i	$-0.0491519\pi$
$252$	−11.8407	−	10.5734i	−0.745894	−	0.666065i
$253$			0.264896i			0.0166539i
$254$	−1.68041	+	0.332673i	−0.105438	+	0.0208737i
$255$	−17.6964	−	24.6784i	−1.10819	−	1.54542i
$256$	0.115888	−	15.9996i	0.00724301	−	0.999974i
$257$	10.7286	−	18.5825i	0.669233	−	1.15915i	−0.308886	−	0.951099i	$-0.599956\pi$
$257$	10.7286	−	18.5825i	0.669233	−	1.15915i	0.978119	−	0.208047i	$-0.0667106\pi$
$258$	0.899916	−	3.84942i	0.0560263	−	0.239655i
$259$	−0.454016	−	0.461164i	−0.0282112	−	0.0286554i
$260$	−6.44527	+	2.65606i	−0.399719	+	0.164722i
$261$	11.1085	+	3.76279i	0.687601	+	0.232911i
$262$	−3.97999	−	1.35504i	−0.245884	−	0.0837149i
$263$	5.44384	+	9.42900i	0.335681	+	0.581417i	0.983615	−	0.180279i	$-0.0577001\pi$
$263$	5.44384	+	9.42900i	0.335681	+	0.581417i	−0.647934	+	0.761696i	$0.724367\pi$
$264$	0.444741	+	0.168604i	0.0273719	+	0.0103769i
$265$	−9.00748	−	15.6014i	−0.553325	−	0.958387i
$266$	−22.9805	−	15.6465i	−1.40902	−	0.959348i
$267$	−5.83064	+	4.18105i	−0.356829	+	0.255876i
$268$	7.53515	+	18.2851i	0.460283	+	1.11694i
$269$	−17.6412	−	10.1852i	−1.07560	−	0.621000i	−0.145897	−	0.989300i	$-0.546607\pi$
$269$	−17.6412	−	10.1852i	−1.07560	−	0.621000i	−0.929707	+	0.368300i	$0.879940\pi$
$270$	−0.578858	+	17.7199i	−0.0352282	+	1.07840i
$271$	−9.96382	−	17.2579i	−0.605259	−	1.04834i	−0.992010	−	0.126156i	$-0.959736\pi$
$271$	−9.96382	−	17.2579i	−0.605259	−	1.04834i	0.386751	−	0.922184i	$-0.373597\pi$
$272$	7.42157	+	28.1044i	0.449999	+	1.70408i
$273$	4.23813	−	5.08605i	0.256503	−	0.307822i
$274$	4.16243	+	4.75501i	0.251461	+	0.287261i
$275$	−0.0690250	−	0.0398516i	−0.00416237	−	0.00240314i
$276$	9.44606	+	0.323283i	0.568586	+	0.0194593i
$277$	−3.47098	+	2.00397i	−0.208551	+	0.120407i	−0.600638	−	0.799521i	$-0.705087\pi$
$277$	−3.47098	+	2.00397i	−0.208551	+	0.120407i	0.392087	+	0.919928i	$0.371753\pi$
$278$	1.55935	−	1.36501i	0.0935234	−	0.0818682i
$279$	−13.4484	+	2.68415i	−0.805137	+	0.160696i
$280$	−5.62320	−	17.1567i	−0.336051	−	1.02531i
$281$	1.62854	−	2.82071i	0.0971505	−	0.168270i	−0.813354	−	0.581770i	$-0.802361\pi$
$281$	1.62854	−	2.82071i	0.0971505	−	0.168270i	0.910504	+	0.413500i	$0.135694\pi$
$282$	4.32233	+	14.2787i	0.257391	+	0.850281i
$283$			4.08398i			0.242767i	0.992606	+	0.121384i	$0.0387332\pi$
$283$			4.08398i			0.242767i	−0.992606	+	0.121384i	$0.961267\pi$
$284$	−1.45887	+	0.601192i	−0.0865681	+	0.0356742i
$285$	3.05345	+	30.8993i	0.180871	+	1.83032i
$286$	−0.0639303	+	0.187774i	−0.00378028	+	0.0111033i
$287$	−18.1458	+	17.8645i	−1.07111	+	1.05451i
$288$	6.55509	−	15.6535i	0.386262	−	0.922389i
$289$	−17.9043	−	31.0112i	−1.05319	−	1.82419i
$290$	8.78614	+	10.0370i	0.515940	+	0.589392i
$291$	22.1411	+	10.0233i	1.29793	+	0.587578i
$292$	−3.31500	+	24.8324i	−0.193996	+	1.45321i
$293$	9.40985	−	5.43278i	0.549730	−	0.317386i	−0.199283	−	0.979942i	$-0.563861\pi$
$293$	9.40985	−	5.43278i	0.549730	−	0.317386i	0.749013	+	0.662555i	$0.230528\pi$
$294$	12.3230	+	11.9224i	0.718693	+	0.695328i
$295$	3.49929	−	6.06096i	0.203737	−	0.352883i
$296$	0.307674	−	0.619652i	0.0178832	−	0.0360166i
$297$	0.368538	+	0.344499i	0.0213847	+	0.0199899i
$298$	−13.3667	−	4.55090i	−0.774314	−	0.263626i
$299$			3.94175i			0.227957i
$300$	−1.50533	+	2.41276i	−0.0869101	+	0.139301i
$301$	−1.13733	+	4.11571i	−0.0655546	+	0.237225i
$302$	4.61717	+	5.27450i	0.265688	+	0.303513i
$303$	15.8494	+	22.1027i	0.910527	+	1.26977i
$304$	7.79625	−	28.6801i	0.447145	−	1.64492i
$305$	13.7660	−	23.8435i	0.788241	−	1.36527i
$306$	−4.03207	+	30.5663i	−0.230498	+	1.74736i
$307$			2.36318i			0.134874i	0.997724	+	0.0674370i	$0.0214822\pi$
$307$			2.36318i			0.134874i	−0.997724	+	0.0674370i	$0.978518\pi$
$308$	−0.472717	−	0.201156i	−0.0269356	−	0.0114619i
$309$	9.44312	+	4.27492i	0.537200	+	0.243192i
$310$	−14.7648	−	5.02690i	−0.838587	−	0.285509i
$311$	−7.58537			−0.430127			−0.215063	−	0.976600i	$-0.568996\pi$
$311$	−7.58537			−0.430127			−0.215063	+	0.976600i	$0.568996\pi$
$312$	6.61789	+	2.50888i	0.374664	+	0.142037i
$313$	19.5087			1.10270			0.551348	−	0.834275i	$-0.314114\pi$
$313$	19.5087			1.10270			0.551348	+	0.834275i	$0.314114\pi$
$314$	−2.29328	−	11.5839i	−0.129417	−	0.653718i
$315$	1.38927	−	19.0995i	0.0782767	−	1.07613i
$316$	−1.23076	+	0.507189i	−0.0692358	+	0.0285316i
$317$		−	29.1518i		−	1.63733i	−0.574275	−	0.818663i	$-0.694716\pi$
$317$		−	29.1518i		−	1.63733i	0.574275	−	0.818663i	$-0.305284\pi$
$318$	−4.16355	+	17.8097i	−0.233480	+	0.998720i
$319$	0.379563			0.0212514
$320$	15.3764	−	11.6665i	0.859565	−	0.652179i
$321$	7.83590	+	10.9275i	0.437357	+	0.609912i
$322$	−10.1808	−	0.756462i	−0.567355	−	0.0421560i
$323$			53.9951i			3.00437i
$324$	12.7344	−	12.7214i	0.707468	−	0.706745i
$325$	−1.02712	−	0.593005i	−0.0569741	−	0.0328940i
$326$	−18.9319	+	16.5725i	−1.04854	+	0.917867i
$327$	−8.75788	+	19.3458i	−0.484312	+	1.06982i
$328$	−24.3819	−	12.1063i	−1.34627	−	0.668457i
$329$	−4.04887	−	15.5969i	−0.223221	−	0.859884i
$330$	0.166236	+	0.549156i	0.00915102	+	0.0302300i
$331$			15.8039i			0.868663i	0.900753	+	0.434331i	$0.143015\pi$
$331$			15.8039i			0.868663i	−0.900753	+	0.434331i	$0.856985\pi$
$332$	32.5739	+	4.34845i	1.78772	+	0.238652i
$333$	0.551385	−	0.484186i	0.0302157	−	0.0265332i
$334$	12.8267	+	14.6528i	0.701848	+	0.801767i
$335$	−11.9287	+	20.6611i	−0.651734	+	1.12884i
$336$	−7.75003	+	16.6114i	−0.422799	+	0.906224i
$337$	−0.348399	−	0.603444i	−0.0189785	−	0.0328717i	0.856380	−	0.516346i	$-0.172708\pi$
$337$	−0.348399	−	0.603444i	−0.0189785	−	0.0328717i	−0.875359	+	0.483474i	$0.839375\pi$
$338$	4.97405	−	14.6096i	0.270553	−	0.794658i
$339$	5.85022	−	4.19509i	0.317740	−	0.227846i
$340$	−21.3968	+	27.7806i	−1.16041	+	1.50661i
$341$	−0.384348	+	0.221904i	−0.0208136	+	0.0120168i
$342$	19.1968	−	25.0046i	1.03805	−	1.35209i
$343$	−12.7854	−	13.3991i	−0.690344	−	0.723481i
$344$	−4.55580	+	0.286178i	−0.245632	+	0.0154297i
$345$	6.64428	+	9.26572i	0.357716	+	0.498850i
$346$	4.80426	+	24.2675i	0.258279	+	1.30463i
$347$		−	12.7083i		−	0.682216i	−0.940024	−	0.341108i	$-0.889198\pi$
$347$		−	12.7083i		−	0.682216i	0.940024	−	0.341108i	$-0.110802\pi$
$348$	0.463223	−	13.5350i	0.0248314	−	0.725552i
$349$	−20.8435	−	12.0340i	−1.11573	−	0.644165i	−0.175420	−	0.984494i	$-0.556128\pi$
$349$	−20.8435	−	12.0340i	−1.11573	−	0.644165i	−0.940307	+	0.340329i	$0.889462\pi$
$350$	1.72874	−	2.53905i	0.0924051	−	0.135718i
$351$	5.48396	+	5.12626i	0.292712	+	0.273620i
$352$	0.0384004	−	0.547864i	0.00204675	−	0.0292012i
$353$	1.35364	+	2.34458i	0.0720471	+	0.124789i	0.899798	−	0.436306i	$-0.143713\pi$
$353$	1.35364	+	2.34458i	0.0720471	+	0.124789i	−0.827751	+	0.561095i	$0.810380\pi$
$354$	−6.80065	+	2.05865i	−0.361451	+	0.109416i
$355$	−1.64844	−	0.951730i	−0.0874904	−	0.0505126i
$356$	6.56357	+	5.05532i	0.347869	+	0.267931i
$357$	5.67046	−	32.8150i	0.300112	−	1.73676i
$358$	11.5401	+	3.92900i	0.609914	+	0.207654i
$359$	9.92256	+	17.1864i	0.523693	+	0.907063i	0.999620	+	0.0275778i	$0.00877940\pi$
$359$	9.92256	+	17.1864i	0.523693	+	0.907063i	−0.475927	+	0.879485i	$0.657887\pi$
$360$	19.7855	−	5.25771i	1.04279	−	0.277105i
$361$	18.1041	−	31.3572i	0.952846	−	1.65038i
$362$	−5.15184	−	26.0231i	−0.270775	−	1.36775i
$363$	−17.3420	−	7.85075i	−0.910217	−	0.412058i
$364$	−7.03419	−	2.99327i	−0.368692	−	0.156890i
$365$	−26.1729	+	15.1109i	−1.36995	+	0.790942i
$366$	−26.7534	+	8.09860i	−1.39842	+	0.423321i
$367$	−17.3779	−	30.0993i	−0.907117	−	1.57117i	−0.818050	−	0.575147i	$-0.804945\pi$
$367$	−17.3779	−	30.0993i	−0.907117	−	1.57117i	−0.0890674	−	0.996026i	$-0.528389\pi$
$368$	−2.78649	−	10.5520i	−0.145256	−	0.550063i
$369$	−19.0516	−	21.6957i	−0.991787	−	1.12943i
$370$	0.818690	−	0.162077i	0.0425617	−	0.00842599i
$371$	5.26197	−	19.0417i	0.273188	−	0.988597i
$372$	7.44390	+	13.9765i	0.385948	+	0.724646i
$373$	−7.97499	−	4.60436i	−0.412929	−	0.238405i	0.279118	−	0.960257i	$-0.409958\pi$
$373$	−7.97499	−	4.60436i	−0.412929	−	0.238405i	−0.692048	+	0.721852i	$0.743291\pi$
$374$	0.193769	+	0.978771i	0.0100195	+	0.0506110i
$375$	17.3790	−	1.71739i	0.897449	−	0.0886854i
$376$	14.3492	−	9.53155i	0.740003	−	0.491552i
$377$	5.64802			0.290888
$378$	−14.2926	+	13.1803i	−0.735134	+	0.677922i
$379$		−	9.71100i		−	0.498821i	−0.968398	−	0.249410i	$-0.919763\pi$
$379$		−	9.71100i		−	0.498821i	0.968398	−	0.249410i	$-0.0802368\pi$
$380$	33.1489	−	13.6604i	1.70050	−	0.700766i
$381$	0.206320	+	2.08784i	0.0105701	+	0.106964i
$382$	−31.8719	+	6.30973i	−1.63071	+	0.322834i
$383$	10.5899	−	18.3422i	0.541118	−	0.937244i	−0.457722	−	0.889095i	$-0.651335\pi$
$383$	10.5899	−	18.3422i	0.541118	−	0.937244i	0.998840	−	0.0481485i	$-0.0153321\pi$
$384$	−19.4897	−	2.03796i	−0.994577	−	0.103999i
$385$	−0.155719	−	0.599855i	−0.00793618	−	0.0305714i
$386$	−9.54277	+	1.88919i	−0.485714	+	0.0961574i
$387$	−4.58574	−	1.55333i	−0.233107	−	0.0789601i
$388$	3.71348	−	27.8173i	0.188523	−	1.41221i
$389$	−20.1219	+	11.6174i	−1.02022	+	0.589026i	−0.914168	−	0.405335i	$-0.867155\pi$
$389$	−20.1219	+	11.6174i	−1.02022	+	0.589026i	−0.106054	+	0.994360i	$0.533822\pi$
$390$	2.47365	+	8.17161i	0.125258	+	0.413786i
$391$	9.91372	+	17.1711i	0.501359	+	0.868379i
$392$	9.08102	−	17.5936i	0.458661	−	0.888612i
$393$	−2.12360	+	4.69095i	−0.107122	+	0.236627i
$394$	−1.64406	−	8.30456i	−0.0828268	−	0.418378i
$395$	−1.39069	−	0.802917i	−0.0699734	−	0.0403991i
$396$	0.258250	−	0.522149i	0.0129775	−	0.0262390i
$397$	−2.38932	+	1.37947i	−0.119916	+	0.0692338i	−0.558758	−	0.829330i	$-0.688722\pi$
$397$	−2.38932	+	1.37947i	−0.119916	+	0.0692338i	0.438842	+	0.898564i	$0.355389\pi$
$398$	9.23707	−	27.1308i	0.463012	−	1.35994i
$399$	−21.7972	+	26.1582i	−1.09123	+	1.30955i
$400$	3.16879	+	0.861387i	0.158440	+	0.0430693i
$401$	7.69518	−	13.3284i	0.384279	−	0.665591i	−0.607390	−	0.794404i	$-0.707783\pi$
$401$	7.69518	−	13.3284i	0.384279	−	0.665591i	0.991669	+	0.128813i	$0.0411167\pi$
$402$	23.1826	−	7.01768i	1.15624	−	0.350010i
$403$	−5.71923	+	3.30200i	−0.284895	+	0.164484i
$404$	19.1636	−	24.8811i	0.953425	−	1.23788i
$405$	21.5319	+	2.80626i	1.06993	+	0.139444i
$406$	−1.08391	+	14.5878i	−0.0537937	+	0.723981i
$407$	0.0118737	−	0.0205659i	0.000588560	−	0.00101941i
$408$	35.1389	−	5.71518i	1.73964	−	0.282944i
$409$	−5.46524			−0.270239			−0.135119	−	0.990829i	$-0.543142\pi$
$409$	−5.46524			−0.270239			−0.135119	+	0.990829i	$0.543142\pi$
$410$	−6.37737	−	32.2136i	−0.314956	−	1.59092i
$411$	6.28978	−	4.51028i	0.310252	−	0.222476i
$412$	1.58379	−	11.8640i	0.0780277	−	0.584498i
$413$	7.42850	−	1.92840i	0.365533	−	0.0948903i
$414$	1.51388	−	11.4764i	0.0744029	−	0.564033i
$415$	19.8218	+	34.3323i	0.973012	+	1.68531i
$416$	0.571411	−	8.15239i	0.0280157	−	0.399704i
$417$	−1.47909	−	2.06265i	−0.0724314	−	0.101009i
$418$	0.328802	−	0.965745i	0.0160822	−	0.0472361i
$419$	−13.2896	+	7.67277i	−0.649241	+	0.374839i	−0.788165	−	0.615464i	$-0.788969\pi$
$419$	−13.2896	+	7.67277i	−0.649241	+	0.374839i	0.138924	+	0.990303i	$0.455636\pi$
$420$	−21.5805	+	4.82079i	−1.05302	+	0.235230i
$421$	−17.9067	−	10.3384i	−0.872718	−	0.503864i	−0.00446767	−	0.999990i	$-0.501422\pi$
$421$	−17.9067	−	10.3384i	−0.872718	−	0.503864i	−0.868251	+	0.496126i	$0.834755\pi$
$422$	−20.6670	+	18.0914i	−1.00605	+	0.880676i
$423$	17.9180	−	3.57622i	0.871203	−	0.173882i
$424$	21.0779	−	1.32403i	1.02363	−	0.0643005i
$425$	−5.96577			−0.289383
$426$	0.559906	+	1.84963i	0.0271275	+	0.0896146i
$427$	29.2233	−	7.58622i	1.41422	−	0.367123i
$428$	9.47441	−	12.3011i	0.457963	−	0.594596i
$429$	0.221317	+	0.100191i	0.0106853	+	0.00483725i
$430$	−3.62703	−	4.14340i	−0.174911	−	0.199812i
$431$	6.43523	−	11.1462i	0.309974	−	0.536891i	−0.668382	−	0.743818i	$-0.733013\pi$
$431$	6.43523	−	11.1462i	0.309974	−	0.536891i	0.978356	+	0.206927i	$0.0663462\pi$
$432$	−18.3044	−	9.84628i	−0.880671	−	0.473729i
$433$	−9.67133			−0.464775			−0.232387	−	0.972623i	$-0.574654\pi$
$433$	−9.67133			−0.464775			−0.232387	+	0.972623i	$0.574654\pi$
$434$	−7.43089	−	15.4054i	−0.356694	−	0.739485i
$435$	13.2766	−	9.52041i	0.636564	−	0.456468i
$436$	24.3054	+	3.24465i	1.16402	+	0.155390i
$437$		−	20.2729i		−	0.969785i
$438$	29.8776	+	6.98476i	1.42761	+	0.333745i
$439$	23.6578			1.12913			0.564563	−	0.825390i	$-0.309045\pi$
$439$	23.6578			1.12913			0.564563	+	0.825390i	$0.309045\pi$
$440$	0.551869	−	0.366583i	0.0263093	−	0.0174761i
$441$	15.9942	−	13.6083i	0.761627	−	0.648016i
$442$	2.88334	+	14.5644i	0.137147	+	0.692760i
$443$			38.0976i			1.81007i	0.425336	+	0.905036i	$0.360156\pi$
$443$			38.0976i			1.81007i	−0.425336	+	0.905036i	$0.639844\pi$
$444$	−0.718879	−	0.448510i	−0.0341165	−	0.0212853i
$445$			9.99413i			0.473767i
$446$	−6.10804	+	17.9403i	−0.289224	+	0.849499i
$447$	−7.13209	+	15.7545i	−0.337336	+	0.745161i
$448$	20.9465	+	3.04038i	0.989629	+	0.143644i
$449$	−15.6385			−0.738025			−0.369012	−	0.929424i	$-0.620304\pi$
$449$	−15.6385			−0.738025			−0.369012	+	0.929424i	$0.620304\pi$
$450$	2.76269	+	2.12101i	0.130234	+	0.0999853i
$451$	−0.809222	−	0.467205i	−0.0381048	−	0.0219998i
$452$	−6.58562	−	5.07229i	−0.309761	−	0.238581i
$453$	6.97693	−	5.00303i	0.327805	−	0.235063i
$454$	−3.57971	+	3.13359i	−0.168004	+	0.147067i
$455$	−2.31715	−	8.92604i	−0.108630	−	0.418459i
$456$	−34.0367	−	12.9035i	−1.59391	−	0.604262i
$457$	−25.6816			−1.20133			−0.600667	−	0.799499i	$-0.705098\pi$
$457$	−25.6816			−1.20133			−0.600667	+	0.799499i	$0.705098\pi$
$458$	19.1547	+	6.52148i	0.895039	+	0.304729i
$459$	36.7821	+	8.53859i	1.71684	+	0.398547i
$460$	8.03362	−	10.4305i	0.374569	−	0.486322i
$461$	7.15810	+	4.13273i	0.333386	+	0.192481i	0.657343	−	0.753591i	$-0.271680\pi$
$461$	7.15810	+	4.13273i	0.333386	+	0.192481i	−0.323957	+	0.946072i	$0.605013\pi$
$462$	−0.301247	+	0.552393i	−0.0140153	+	0.0256997i
$463$	18.8617	+	32.6695i	0.876580	+	1.51828i	0.855070	+	0.518512i	$0.173514\pi$
$463$	18.8617	+	32.6695i	0.876580	+	1.51828i	0.0215094	+	0.999769i	$0.493153\pi$
$464$	−15.1197	+	3.99269i	−0.701916	+	0.185356i
$465$	−7.87808	+	17.4023i	−0.365337	+	0.807014i
$466$	−12.2198	−	13.9595i	−0.566073	−	0.646663i
$467$	−10.9399	+	6.31613i	−0.506236	+	0.292276i	−0.731285	−	0.682072i	$-0.761079\pi$
$467$	−10.9399	+	6.31613i	−0.506236	+	0.292276i	0.225049	+	0.974347i	$0.427746\pi$
$468$	3.84284	−	7.76976i	0.177635	−	0.359157i
$469$	−25.3229	+	6.57369i	−1.16930	+	0.303545i
$470$	19.6719	+	6.69758i	0.907397	+	0.308936i
$471$	−14.3926	+	1.42227i	−0.663175	+	0.0655346i
$472$	4.53970	+	6.83425i	0.208957	+	0.314572i
$473$	−0.156688			−0.00720454
$474$	0.472359	+	1.56042i	0.0216962	+	0.0716724i
$475$	5.28259	+	3.04990i	0.242382	+	0.139939i
$476$	−38.1707	+	4.65209i	−1.74955	+	0.213228i
$477$	21.2164	+	7.18662i	0.971432	+	0.329053i
$478$	−9.09130	−	10.3856i	−0.415827	−	0.475026i
$479$	−17.7951	−	30.8220i	−0.813078	−	1.40829i	−0.910700	−	0.413069i	$-0.864457\pi$
$479$	−17.7951	−	30.8220i	−0.813078	−	1.40829i	0.0976214	−	0.995224i	$-0.468877\pi$
$480$	−12.3986	−	20.1267i	−0.565917	−	0.918655i
$481$	0.176685	−	0.306028i	0.00805615	−	0.0139537i
$482$	−14.6953	−	16.7875i	−0.669354	−	0.764648i
$483$	−2.12902	+	12.3207i	−0.0968738	+	0.560611i
$484$	−2.90857	+	21.7879i	−0.132208	+	0.990358i
$485$	29.3190	−	16.9273i	1.33131	−	0.768630i
$486$	−13.9977	−	17.0313i	−0.634949	−	0.772554i
$487$	−18.7693	+	32.5094i	−0.850518	+	1.47314i	0.0302240	+	0.999543i	$0.490378\pi$
$487$	−18.7693	+	32.5094i	−0.850518	+	1.47314i	−0.880742	+	0.473597i	$0.842955\pi$
$488$	17.8589	+	26.8856i	0.808436	+	1.21705i
$489$	17.9575	+	25.0425i	0.812067	+	1.13246i
$490$	23.4990	−	4.27179i	1.06158	−	0.192980i
$491$	−9.47328	+	5.46940i	−0.427523	+	0.246831i	−0.698291	−	0.715814i	$-0.746056\pi$
$491$	−9.47328	+	5.46940i	−0.427523	+	0.246831i	0.270768	+	0.962645i	$0.412722\pi$
$492$	−17.6478	+	28.2862i	−0.795626	+	1.27524i
$493$	24.6040	−	14.2051i	1.10811	−	0.639766i
$494$	4.89268	−	14.3706i	0.220132	−	0.646564i
$495$	0.689124	−	0.137541i	0.0309738	−	0.00618201i
$496$	12.9761	−	12.8825i	0.582645	−	0.578440i
$497$	−0.524481	−	2.02039i	−0.0235262	−	0.0906267i
$498$	9.16225	−	39.1919i	0.410570	−	1.75623i
$499$	−20.7208	−	11.9631i	−0.927588	−	0.535543i	−0.0415402	−	0.999137i	$-0.513226\pi$
$499$	−20.7208	−	11.9631i	−0.927588	−	0.535543i	−0.886048	+	0.463594i	$0.846560\pi$
$500$	−7.68318	−	18.6443i	−0.343602	−	0.833796i
$501$	19.3823	−	13.8987i	0.865936	−	0.620947i
$502$	1.33844	+	6.76078i	0.0597375	+	0.301748i
$503$	17.5332			0.781768			0.390884	−	0.920440i	$-0.372169\pi$
$503$	17.5332			0.781768			0.390884	+	0.920440i	$0.372169\pi$
$504$	19.3304	+	11.4165i	0.861045	+	0.508530i
$505$	37.8856			1.68589
$506$	−0.0727521	−	0.367488i	−0.00323422	−	0.0163368i
$507$	−17.2194	−	7.79525i	−0.764739	−	0.346199i
$508$	2.23984	−	0.923026i	0.0993771	−	0.0409527i
$509$	37.5597	+	21.6851i	1.66480	+	0.961175i	0.970371	+	0.241618i	$0.0776781\pi$
$509$	37.5597	+	21.6851i	1.66480	+	0.961175i	0.694433	+	0.719557i	$0.255655\pi$
$510$	31.3279	+	29.3759i	1.38722	+	1.30079i
$511$	−31.9444	−	8.82746i	−1.41313	−	0.390504i
$512$	4.23341	+	22.2279i	0.187092	+	0.982342i
$513$	−28.2047	−	26.3650i	−1.24527	−	1.16404i
$514$	−9.78014	+	28.7259i	−0.431383	+	1.26704i
$515$	12.5045	−	7.21945i	0.551012	−	0.318127i
$516$	−0.191224	+	5.58742i	−0.00841818	+	0.245972i
$517$	0.512086	−	0.295653i	0.0225215	−	0.0130028i
$518$	0.756507	+	0.515076i	0.0332390	+	0.0226311i
$519$	30.1514	−	2.97955i	1.32350	−	0.130788i
$520$	8.21199	−	5.45487i	0.360119	−	0.239212i
$521$	−13.9663	+	24.1903i	−0.611873	+	1.05980i	0.379052	+	0.925376i	$0.376250\pi$
$521$	−13.9663	+	24.1903i	−0.611873	+	1.05980i	−0.990925	+	0.134419i	$0.957083\pi$
$522$	−16.4442	−	2.16919i	−0.719742	−	0.0949429i
$523$	8.25108	−	4.76377i	0.360795	−	0.208305i	−0.308635	−	0.951181i	$-0.599872\pi$
$523$	8.25108	−	4.76377i	0.360795	−	0.208305i	0.669429	+	0.742876i	$0.266539\pi$
$524$	5.89355	+	0.786760i	0.257461	+	0.0343698i
$525$	−2.89015	−	2.40832i	−0.126137	−	0.105108i
$526$	−10.1418	−	11.5856i	−0.442203	−	0.505158i
$527$	−16.6094	+	28.7684i	−0.723519	+	1.25317i
$528$	−0.663290	−	0.111757i	−0.0288660	−	0.00486360i
$529$	7.77781	+	13.4716i	0.338166	+	0.585720i
$530$	16.7808	+	19.1698i	0.728912	+	0.832684i
$531$	1.70329	+	8.53400i	0.0739163	+	0.370344i
$532$	36.1777	+	15.3948i	1.56850	+	0.667448i
$533$	−12.0415	−	6.95216i	−0.521575	−	0.301131i
$534$	6.94049	−	7.40167i	0.300344	−	0.320301i
$535$	18.7305			0.809789
$536$	−15.4753	−	23.2972i	−0.668431	−	1.00628i
$537$	6.15746	−	13.6016i	0.265714	−	0.586951i
$538$	27.2707	+	9.28472i	1.17573	+	0.400293i
$539$	0.348958	−	0.583179i	0.0150307	−	0.0251193i
$540$	−4.06362	−	24.7416i	−0.174870	−	1.06471i
$541$	−28.1893	+	16.2751i	−1.21195	+	0.699721i	−0.963184	−	0.268842i	$-0.913359\pi$
$541$	−28.1893	+	16.2751i	−1.21195	+	0.699721i	−0.248768	+	0.968563i	$0.580026\pi$
$542$	18.5625	+	21.2051i	0.797326	+	0.910838i
$543$	−32.3328	+	3.19511i	−1.38753	+	0.137115i
$544$	−18.0146	−	36.9507i	−0.772368	−	1.58425i
$545$	14.7902	+	25.6174i	0.633544	+	1.09733i
$546$	−4.48266	+	8.21980i	−0.191840	+	0.351775i
$547$	−26.9771	−	15.5752i	−1.15346	−	0.665949i	−0.203730	−	0.979027i	$-0.565307\pi$
$547$	−26.9771	−	15.5752i	−1.15346	−	0.665949i	−0.949727	+	0.313078i	$0.898640\pi$
$548$	−7.08042	−	5.45340i	−0.302461	−	0.232958i
$549$	6.70063	+	33.5723i	0.285976	+	1.43283i
$550$	0.106703	+	0.0363285i	0.00454982	+	0.00154905i
$551$	−29.0485			−1.23751
$552$	−13.1932	+	2.14581i	−0.561540	+	0.0913319i
$553$	−0.442473	−	1.70448i	−0.0188159	−	0.0724818i
$554$	4.26488	−	3.73337i	0.181197	−	0.158616i
$555$	−0.100518	−	1.01719i	−0.00426677	−	0.0431774i
$556$	−1.78837	+	2.32193i	−0.0758439	+	0.0984720i
$557$	13.8398	+	7.99043i	0.586413	+	0.338566i	0.763678	−	0.645598i	$-0.223392\pi$
$557$	13.8398	+	7.99043i	0.586413	+	0.338566i	−0.177265	+	0.984163i	$0.556725\pi$
$558$	17.9197	−	7.41721i	0.758601	−	0.313996i
$559$	−2.33157			−0.0986151
$560$	12.5130	+	22.2569i	0.528770	+	0.940527i
$561$	1.21609	−	0.120173i	0.0513432	−	0.00507371i
$562$	−1.48456	+	4.36041i	−0.0626226	+	0.183933i
$563$			9.96301i			0.419891i	0.977713	+	0.209945i	$0.0673286\pi$
$563$			9.96301i			0.419891i	−0.977713	+	0.209945i	$0.932671\pi$
$564$	−9.91786	−	18.6215i	−0.417617	−	0.784107i
$565$		−	10.0277i		−	0.421868i
$566$	−1.12164	−	5.66566i	−0.0471460	−	0.238145i
$567$	14.3724	+	18.9851i	0.603583	+	0.797300i
$568$	1.85876	−	1.23470i	0.0779920	−	0.0518067i
$569$	−26.2158			−1.09903			−0.549513	−	0.835485i	$-0.685187\pi$
$569$	−26.2158			−1.09903			−0.549513	+	0.835485i	$0.685187\pi$
$570$	−12.7223	−	42.0277i	−0.532879	−	1.76034i
$571$			7.96980i			0.333526i	0.985997	+	0.166763i	$0.0533314\pi$
$571$			7.96980i			0.333526i	−0.985997	+	0.166763i	$0.946669\pi$
$572$	0.0371189	−	0.278055i	0.00155202	−	0.0116261i
$573$	3.91322	+	39.5997i	0.163477	+	1.65430i
$574$	20.2671	−	29.7668i	0.845931	−	1.24244i
$575$	2.23990			0.0934103
$576$	−4.79469	+	23.5162i	−0.199779	+	0.979841i
$577$	0.720452	−	1.24786i	0.0299928	−	0.0519491i	−0.850639	−	0.525750i	$-0.823785\pi$
$577$	0.720452	−	1.24786i	0.0299928	−	0.0519491i	0.880632	+	0.473801i	$0.157118\pi$
$578$	33.3555	+	38.1042i	1.38740	+	1.58492i
$579$	1.17166	+	11.8565i	0.0486924	+	0.492741i
$580$	−14.9455	−	11.5111i	−0.620578	−	0.477974i
$581$	−11.5794	+	41.9030i	−0.480395	+	1.73843i
$582$	−33.4690	−	7.82435i	−1.38733	−	0.324330i
$583$	0.724934			0.0300237
$584$	−2.22119	−	35.3602i	−0.0919134	−	1.46321i
$585$	10.2544	−	2.04665i	0.423967	−	0.0846188i
$586$	−11.5621	+	10.1212i	−0.477626	+	0.418103i
$587$	−35.1258	−	20.2799i	−1.44980	−	0.837040i	−0.451327	−	0.892359i	$-0.649049\pi$
$587$	−35.1258	−	20.2799i	−1.44980	−	0.837040i	−0.998469	+	0.0553188i	$0.982383\pi$
$588$	−20.3700	−	13.1554i	−0.840044	−	0.542518i
$589$	29.4147	−	16.9826i	1.21201	−	0.699756i
$590$	−3.18993	+	9.36936i	−0.131327	+	0.385730i
$591$	−10.3181	+	1.01963i	−0.424430	+	0.0419420i
$592$	−0.256649	+	0.944137i	−0.0105482	+	0.0388038i
$593$	−15.3873	−	26.6516i	−0.631881	−	1.09445i	−0.987167	−	0.159692i	$-0.948950\pi$
$593$	−15.3873	−	26.6516i	−0.631881	−	1.09445i	0.355286	−	0.934758i	$-0.384383\pi$
$594$	−0.605883	−	0.376704i	−0.0248597	−	0.0154563i
$595$	−32.5435	−	33.0559i	−1.33415	−	1.35516i
$596$	19.7934	+	2.64232i	0.810769	+	0.108234i
$597$	−31.9773	−	14.4762i	−1.30874	−	0.592471i
$598$	−1.08257	−	5.46834i	−0.0442698	−	0.223617i
$599$	−7.16366			−0.292699			−0.146350	−	0.989233i	$-0.546752\pi$
$599$	−7.16366			−0.292699			−0.146350	+	0.989233i	$0.546752\pi$
$600$	1.42567	−	3.76062i	0.0582029	−	0.153527i
$601$	−10.8726	+	18.8319i	−0.443502	+	0.768168i	−0.997947	−	0.0640524i	$-0.979598\pi$
$601$	−10.8726	+	18.8319i	−0.443502	+	0.768168i	0.554444	+	0.832221i	$0.312931\pi$
$602$	0.447453	−	6.02204i	0.0182368	−	0.245440i
$603$	−5.80630	−	29.0914i	−0.236451	−	1.18469i
$604$	−7.85396	−	6.04918i	−0.319573	−	0.246138i
$605$	−22.9640	+	13.2583i	−0.933620	+	0.539026i
$606$	−28.0581	−	26.3099i	−1.13978	−	1.06877i
$607$	2.13855	−	3.70408i	0.0868011	−	0.150344i	−0.819356	−	0.573285i	$-0.805669\pi$
$607$	2.13855	−	3.70408i	0.0868011	−	0.150344i	0.906157	+	0.422941i	$0.139002\pi$
$608$	−2.93884	+	41.9288i	−0.119186	+	1.70044i
$609$	17.6540	+	3.05062i	0.715375	+	0.123617i
$610$	−12.5490	+	36.8586i	−0.508095	+	1.49236i
$611$	7.62000	−	4.39941i	0.308272	−	0.177981i
$612$	−2.80118	−	43.5117i	−0.113231	−	1.75885i
$613$	30.9824	+	17.8877i	1.25137	+	0.722476i	0.971381	−	0.237528i	$-0.0763373\pi$
$613$	30.9824	+	17.8877i	1.25137	+	0.722476i	0.279985	+	0.960004i	$0.409671\pi$
$614$	−0.649033	−	3.27842i	−0.0261928	−	0.132306i
$615$	−40.0242	+	3.95517i	−1.61393	+	0.159488i
$616$	0.711042	+	0.149233i	0.0286487	+	0.00601277i
$617$	−1.16387	−	2.01588i	−0.0468556	−	0.0811563i	0.841646	−	0.540029i	$-0.181587\pi$
$617$	−1.16387	−	2.01588i	−0.0468556	−	0.0811563i	−0.888502	+	0.458873i	$0.848253\pi$
$618$	−14.2744	−	3.33706i	−0.574201	−	0.134236i
$619$	31.7728	−	18.3441i	1.27706	−	0.737310i	0.300752	−	0.953702i	$-0.402762\pi$
$619$	31.7728	−	18.3441i	1.27706	−	0.737310i	0.976306	+	0.216393i	$0.0694291\pi$
$620$	21.8637	+	2.91870i	0.878068	+	0.117218i
$621$	−13.8102	−	3.20589i	−0.554183	−	0.128648i
$622$	10.5231	−	2.08327i	0.421938	−	0.0835316i
$623$	−7.80995	+	7.68888i	−0.312899	+	0.308049i
$624$	−9.86998	−	1.66298i	−0.395115	−	0.0665726i
$625$	14.2154	−	24.6218i	0.568616	−	0.984871i
$626$	−27.0642	+	5.35793i	−1.08170	+	0.214146i
$627$	−1.13826	−	0.515293i	−0.0454577	−	0.0205788i
$628$	6.36289	+	15.4404i	0.253907	+	0.616139i
$629$		−	1.77749i		−	0.0708734i
$630$	3.31822	+	26.8780i	0.132201	+	1.07085i
$631$	9.69045			0.385771			0.192885	−	0.981221i	$-0.438215\pi$
$631$	9.69045			0.385771			0.192885	+	0.981221i	$0.438215\pi$
$632$	1.56813	−	1.04164i	0.0623767	−	0.0414342i
$633$	19.6033	+	27.3376i	0.779162	+	1.08657i
$634$	8.00634	+	40.4419i	0.317972	+	1.60615i
$635$	2.53090	+	1.46122i	0.100436	+	0.0579866i
$636$	0.884718	−	25.8507i	0.0350813	−	1.02505i
$637$	5.19261	−	8.67790i	0.205739	−	0.343831i
$638$	−0.526563	+	0.104244i	−0.0208468	+	0.00412708i
$639$	2.32106	−	0.463255i	0.0918196	−	0.0183261i
$640$	−18.1273	+	20.4079i	−0.716545	+	0.806692i
$641$	−3.58735	−	6.21348i	−0.141692	−	0.245418i	0.786442	−	0.617664i	$-0.211921\pi$
$641$	−3.58735	−	6.21348i	−0.141692	−	0.245418i	−0.928134	+	0.372247i	$0.878588\pi$
$642$	−13.8718	−	13.0075i	−0.547477	−	0.513365i
$643$	12.7711	−	7.37340i	0.503643	−	0.290778i	−0.226574	−	0.973994i	$-0.572752\pi$
$643$	12.7711	−	7.37340i	0.503643	−	0.290778i	0.730217	+	0.683216i	$0.239419\pi$
$644$	14.3315	−	1.74667i	0.564740	−	0.0688282i
$645$	−5.48075	+	3.93014i	−0.215804	+	0.154749i
$646$	−14.8294	−	74.9068i	−0.583455	−	2.94717i
$647$	1.26443	−	2.19006i	0.0497099	−	0.0861001i	−0.840100	−	0.542432i	$-0.817504\pi$
$647$	1.26443	−	2.19006i	0.0497099	−	0.0861001i	0.889810	+	0.456332i	$0.150837\pi$
$648$	−14.1725	+	21.1457i	−0.556747	+	0.830682i
$649$	0.140814	+	0.243897i	0.00552743	+	0.00957379i
$650$	1.58777	+	0.540579i	0.0622775	+	0.0212033i
$651$	−19.6600	+	7.23196i	−0.770538	+	0.283443i
$652$	21.7125	−	28.1904i	0.850326	−	1.10402i
$653$	−40.3366	−	23.2883i	−1.57849	−	0.911342i	−0.995070	−	0.0991726i	$-0.968380\pi$
$653$	−40.3366	−	23.2883i	−1.57849	−	0.911342i	−0.583421	−	0.812170i	$-0.698286\pi$
$654$	6.83652	−	29.2435i	0.267329	−	1.14351i
$655$	3.58632	+	6.21169i	0.140129	+	0.242711i
$656$	37.1496	+	10.0986i	1.45045	+	0.394282i
$657$	12.0563	−	35.5926i	0.470359	−	1.38860i
$658$	9.90053	+	20.5254i	0.385963	+	0.800163i
$659$	−28.9845	−	16.7342i	−1.12908	−	0.651873i	−0.185374	−	0.982668i	$-0.559350\pi$
$659$	−28.9845	−	16.7342i	−1.12908	−	0.651873i	−0.943703	+	0.330795i	$0.892683\pi$
$660$	−0.381440	−	0.716182i	−0.0148475	−	0.0278773i
$661$		−	42.4211i		−	1.64999i	−0.565141	−	0.824994i	$-0.691178\pi$
$661$		−	42.4211i		−	1.64999i	0.565141	−	0.824994i	$-0.308822\pi$
$662$	−4.34045	−	21.9246i	−0.168696	−	0.852125i
$663$	18.0958	−	1.78822i	0.702782	−	0.0694485i
$664$	−46.3837	+	2.91364i	−1.80004	+	0.113071i
$665$	11.9174	+	45.9077i	0.462137	+	1.78023i
$666$	−0.631952	+	0.823140i	−0.0244876	+	0.0318960i
$667$	−9.23776	+	5.33343i	−0.357688	+	0.206511i
$668$	−21.8187	−	16.8049i	−0.844191	−	0.650202i
$669$	21.1451	+	9.57242i	0.817515	+	0.370091i
$670$	10.8741	−	31.9390i	0.420103	−	1.23391i
$671$	0.553954	+	0.959477i	0.0213852	+	0.0370402i
$672$	6.18934	−	25.1732i	0.238759	−	0.971079i
$673$	−8.05980	+	13.9600i	−0.310682	+	0.538118i	−0.978510	−	0.206198i	$-0.933891\pi$
$673$	−8.05980	+	13.9600i	−0.310682	+	0.538118i	0.667828	+	0.744316i	$0.267224\pi$
$674$	0.649062	+	0.741466i	0.0250009	+	0.0285602i
$675$	2.91300	−	3.11627i	0.112122	−	0.119945i
$676$	−2.88801	+	21.6338i	−0.111077	+	0.832071i
$677$			18.5639i			0.713469i	0.934206	+	0.356735i	$0.116110\pi$
$677$			18.5639i			0.713469i	−0.934206	+	0.356735i	$0.883890\pi$
$678$	−6.96380	+	7.42653i	−0.267443	+	0.285214i
$679$	35.7842	+	9.88855i	1.37327	+	0.379488i
$680$	22.0538	−	44.4162i	0.845726	−	1.70328i
$681$	3.39547	+	4.73512i	0.130115	+	0.181450i
$682$	0.472258	−	0.413403i	0.0180837	−	0.0158300i
$683$	−24.9956	−	14.4312i	−0.956430	−	0.552195i	−0.0613573	−	0.998116i	$-0.519543\pi$
$683$	−24.9956	−	14.4312i	−0.956430	−	0.552195i	−0.895072	+	0.445921i	$0.852876\pi$
$684$	−19.7642	+	39.9608i	−0.755703	+	1.52794i
$685$		−	10.7811i		−	0.411925i
$686$	21.4169	+	15.0769i	0.817703	+	0.575641i
$687$	10.2204	−	22.5763i	0.389931	−	0.861341i
$688$	6.24162	−	1.64823i	0.237959	−	0.0628383i
$689$	10.7873			0.410962
$690$	−11.7623	−	11.0294i	−0.447783	−	0.419883i
$691$		−	5.40296i		−	0.205538i	−0.994705	−	0.102769i	$-0.967230\pi$
$691$		−	5.40296i		−	0.205538i	0.994705	−	0.102769i	$-0.0327703\pi$
$692$	−13.3298	−	32.3465i	−0.506723	−	1.22963i
$693$	0.637653	+	0.432703i	0.0242224	+	0.0164370i
$694$	3.49025	+	17.6301i	0.132488	+	0.669228i
$695$	−3.53553			−0.134110
$696$	3.07468	+	18.9042i	0.116545	+	0.716561i
$697$	−69.9404			−2.64918
$698$	32.2210	+	10.9701i	1.21958	+	0.415224i
$699$	−18.4652	+	13.2411i	−0.698418	+	0.500823i
$700$	−1.70093	+	3.99718i	−0.0642891	+	0.151079i
$701$			17.8913i			0.675747i	0.941192	+	0.337873i	$0.109708\pi$
$701$			17.8913i			0.675747i	−0.941192	+	0.337873i	$0.890292\pi$
$702$	−9.01573	−	5.60547i	−0.340277	−	0.211565i
$703$	−0.908714	+	1.57394i	−0.0342728	+	0.0593623i
$704$	0.0971947	+	0.770592i	0.00366316	+	0.0290428i
$705$	10.4963	−	23.1860i	0.395315	−	0.873234i
$706$	−2.52182	−	2.88084i	−0.0949098	−	0.108422i
$707$	29.1469	+	29.6058i	1.09618	+	1.11344i
$708$	8.86908	−	4.72369i	0.333320	−	0.177527i
$709$			31.6981i			1.19045i	0.803560	+	0.595224i	$0.202937\pi$
$709$			31.6981i			1.19045i	−0.803560	+	0.595224i	$0.797063\pi$
$710$	2.54826	+	0.867590i	0.0956343	+	0.0325601i
$711$	1.95814	−	0.390821i	0.0734359	−	0.0146569i
$712$	−10.4940	−	5.21054i	−0.393279	−	0.195273i
$713$	6.23616	−	10.8013i	0.233546	−	0.404514i
$714$	1.14587	+	47.0813i	0.0428833	+	1.76197i
$715$	0.293065	−	0.169201i	0.0109600	−	0.00632776i
$716$	−17.0886	−	2.28124i	−0.638629	−	0.0852539i
$717$	−13.7377	+	9.85107i	−0.513045	+	0.367895i
$718$	−18.4856	−	21.1173i	−0.689876	−	0.788091i
$719$	13.4198	+	23.2438i	0.500475	+	0.866848i	1.00000		0.000548152i	$0.000174482\pi$
$719$	13.4198	+	23.2438i	0.500475	+	0.866848i	−0.499525	+	0.866299i	$0.666492\pi$
$720$	−26.0042	+	12.7279i	−0.969118	+	0.474341i
$721$	15.2618	+	4.21744i	0.568381	+	0.157066i
$722$	−16.5035	+	48.4736i	−0.614198	+	1.80400i
$723$	−22.2059	+	15.9234i	−0.825846	+	0.592199i
$724$	14.2942	+	34.6867i	0.531239	+	1.28912i
$725$		−	3.20949i		−	0.119198i
$726$	26.2145	+	6.12840i	0.972911	+	0.227446i
$727$	−25.1580	+	43.5749i	−0.933058	+	1.61610i	−0.154998	+	0.987915i	$0.549537\pi$
$727$	−25.1580	+	43.5749i	−0.933058	+	1.61610i	−0.778060	+	0.628190i	$0.783796\pi$
$728$	10.5805	+	2.22064i	0.392141	+	0.0823023i
$729$	−22.4204	+	15.0441i	−0.830385	+	0.557190i
$730$	32.1593	−	28.1514i	1.19027	−	1.04193i
$731$	−10.1568	+	5.86405i	−0.375664	+	0.216890i
$732$	34.8905	−	18.5828i	1.28959	−	0.686838i
$733$	5.76815	+	3.33024i	0.213052	+	0.123005i	0.602729	−	0.797946i	$-0.294080\pi$
$733$	5.76815	+	3.33024i	0.213052	+	0.123005i	−0.389677	+	0.920951i	$0.627413\pi$
$734$	32.3747	+	36.9838i	1.19497	+	1.36510i
$735$	−2.42156	−	29.1516i	−0.0893205	−	1.07527i
$736$	6.76372	+	13.8734i	0.249314	+	0.511382i
$737$	−0.480018	−	0.831416i	−0.0176817	−	0.0306256i
$738$	32.3887	+	24.8659i	1.19224	+	0.915325i
$739$	−19.3276	−	11.1588i	−0.710976	−	0.410482i	0.100446	−	0.994942i	$-0.467973\pi$
$739$	−19.3276	−	11.1588i	−0.710976	−	0.410482i	−0.811422	+	0.584460i	$0.801306\pi$
$740$	−1.09125	+	0.449696i	−0.0401150	+	0.0165311i
$741$	−16.9377	−	7.66773i	−0.622221	−	0.281681i
$742$	−2.07019	+	27.8615i	−0.0759989	+	1.02283i
$743$	−17.0958	−	29.6108i	−0.627185	−	1.08632i	−0.988114	−	0.153722i	$-0.950874\pi$
$743$	−17.0958	−	29.6108i	−0.627185	−	1.08632i	0.360930	−	0.932593i	$-0.382459\pi$
$744$	−14.1654	−	17.3450i	−0.519328	−	0.635898i
$745$	12.0446	+	20.8619i	0.441280	+	0.764320i
$746$	12.3282	+	4.19730i	0.451366	+	0.153674i
$747$	−46.6885	−	15.8148i	−1.70824	−	0.578633i
$748$	−0.537626	−	1.30462i	−0.0196576	−	0.0477017i
$749$	14.4101	+	14.6370i	0.526534	+	0.534824i
$750$	−23.6381	+	7.15554i	−0.863140	+	0.261284i
$751$	20.3248	−	35.2036i	0.741662	−	1.28460i	−0.210076	−	0.977685i	$-0.567371\pi$
$751$	20.3248	−	35.2036i	0.741662	−	1.28460i	0.951738	−	0.306911i	$-0.0992954\pi$
$752$	−17.2887	+	17.1639i	−0.630454	+	0.625904i
$753$	8.40002	−	0.830086i	0.306114	−	0.0302500i
$754$	−7.83543	+	1.55119i	−0.285350	+	0.0564911i
$755$		−	11.9590i		−	0.435231i
$756$	16.2081	−	22.2103i	0.589485	−	0.807780i
$757$		−	44.7805i		−	1.62758i	−0.581161	−	0.813788i	$-0.697402\pi$
$757$		−	44.7805i		−	1.62758i	0.581161	−	0.813788i	$-0.302598\pi$
$758$	2.66706	+	13.4720i	0.0968721	+	0.489324i
$759$	−0.456590	+	0.0451200i	−0.0165732	+	0.00163775i
$760$	−42.2353	+	28.0551i	−1.53204	+	1.01767i
$761$	−9.71807	+	16.8322i	−0.352280	+	0.610166i	−0.986648	−	0.162864i	$-0.947927\pi$
$761$	−9.71807	+	16.8322i	−0.352280	+	0.610166i	0.634369	+	0.773031i	$0.281260\pi$
$762$	−0.859638	−	2.83978i	−0.0311414	−	0.102874i
$763$	−8.64012	+	31.2664i	−0.312793	+	1.13192i
$764$	42.4827	−	17.5068i	1.53697	−	0.633375i
$765$	39.5228	−	34.7061i	1.42895	−	1.25480i
$766$	−9.65366	+	28.3544i	−0.348801	+	1.02449i
$767$	2.09536	+	3.62926i	0.0756590	+	0.131045i
$768$	27.5975	−	2.52547i	0.995839	−	0.0911301i
$769$	−3.83507	−	6.64254i	−0.138296	−	0.239536i	0.788556	−	0.614963i	$-0.210829\pi$
$769$	−3.83507	−	6.64254i	−0.138296	−	0.239536i	−0.926852	+	0.375427i	$0.877496\pi$
$770$	0.380773	+	0.789405i	0.0137221	+	0.0284482i
$771$	33.8573	+	15.3273i	1.21934	+	0.551998i
$772$	12.7197	−	5.24172i	0.457793	−	0.188654i
$773$	−21.0489	−	12.1526i	−0.757076	−	0.437098i	0.0711688	−	0.997464i	$-0.477327\pi$
$773$	−21.0489	−	12.1526i	−0.757076	−	0.437098i	−0.828245	+	0.560366i	$0.810660\pi$
$774$	6.78836	+	0.895469i	0.244003	+	0.0321870i
$775$	1.87636	+	3.24996i	0.0674010	+	0.116742i
$776$	2.48818	+	39.6106i	0.0893205	+	1.42194i
$777$	0.717556	−	0.861117i	0.0257422	−	0.0308924i
$778$	24.7243	−	21.6431i	0.886409	−	0.775941i
$779$	61.9309	+	35.7558i	2.21891	+	1.28109i
$780$	−5.67595	−	10.6570i	−0.203232	−	0.381582i
$781$	0.0663345	−	0.0382982i	0.00237363	−	0.00137042i
$782$	−18.4691	−	21.0985i	−0.660455	−	0.754481i
$783$	−4.59363	+	19.7882i	−0.164163	+	0.707173i
$784$	−7.76602	+	26.9015i	−0.277358	+	0.960767i
$785$	−10.0729	+	17.4468i	−0.359517	+	0.622703i
$786$	1.65771	−	7.09093i	0.0591287	−	0.252925i
$787$		−	7.37097i		−	0.262747i	−0.991333	−	0.131373i	$-0.958061\pi$
$787$		−	7.37097i		−	0.262747i	0.991333	−	0.131373i	$-0.0419387\pi$
$788$	4.56159	+	11.0693i	0.162500	+	0.394327i
$789$	−15.3251	+	10.9893i	−0.545588	+	0.391231i
$790$	2.14981	+	0.731933i	0.0764868	+	0.0260410i
$791$	7.83618	−	7.71471i	0.278622	−	0.274303i
$792$	−0.214862	+	0.795299i	−0.00763478	+	0.0282597i
$793$	8.24302	+	14.2773i	0.292718	+	0.507003i
$794$	2.93581	−	2.56994i	0.104188	−	0.0912037i
$795$	25.3572	−	18.1832i	0.899328	−	0.644891i
$796$	−5.36319	+	40.1751i	−0.190093	+	1.42397i
$797$	31.2090	−	18.0185i	1.10548	−	0.638248i	0.167824	−	0.985817i	$-0.446326\pi$
$797$	31.2090	−	18.0185i	1.10548	−	0.638248i	0.937654	+	0.347569i	$0.112993\pi$
$798$	23.0549	−	42.2755i	0.816134	−	1.49654i
$799$	22.1296	−	38.3295i	0.782888	−	1.35600i
$800$	−4.63260	−	0.324705i	−0.163787	−	0.0114800i
$801$	−8.19982	−	9.33785i	−0.289726	−	0.329937i
$802$	−7.01487	+	20.6038i	−0.247704	+	0.727547i
$803$		−	1.21615i		−	0.0429169i
$804$	−30.2337	+	16.1025i	−1.06626	+	0.567892i
$805$	12.2187	+	12.4111i	0.430654	+	0.437435i
$806$	7.02735	−	6.15158i	0.247528	−	0.216680i
$807$	14.5509	−	32.1422i	0.512215	−	1.13146i
$808$	−19.7520	+	39.7804i	−0.694874	+	1.39947i
$809$	0.447335	−	0.774807i	0.0157275	−	0.0272408i	−0.858055	−	0.513559i	$-0.828327\pi$
$809$	0.447335	−	0.774807i	0.0157275	−	0.0272408i	0.873782	+	0.486318i	$0.161660\pi$
$810$	−30.6417	+	2.02050i	−1.07664	+	0.0709931i
$811$			55.0971i			1.93472i	0.253405	+	0.967360i	$0.418450\pi$
$811$			55.0971i			1.93472i	−0.253405	+	0.967360i	$0.581550\pi$
$812$	−2.50275	−	20.5352i	−0.0878292	−	0.720645i
$813$	28.0494	−	20.1137i	0.983737	−	0.705420i
$814$	−0.0108240	+	0.0317919i	−0.000379382	+	0.00111431i
$815$	42.9246			1.50358
$816$	−47.1782	+	17.5793i	−1.65157	+	0.615398i
$817$	11.9916			0.419532
$818$	7.58186	−	1.50099i	0.265094	−	0.0524809i
$819$	9.48848	+	6.43876i	0.331554	+	0.224988i
$820$	17.6945	+	42.9381i	0.617919	+	1.49946i
$821$			1.08737i			0.0379496i	0.999820	+	0.0189748i	$0.00604023\pi$
$821$			1.08737i			0.0379496i	−0.999820	+	0.0189748i	$0.993960\pi$
$822$	−7.48702	+	7.98451i	−0.261140	+	0.278492i
$823$	−7.14036			−0.248897			−0.124449	−	0.992226i	$-0.539716\pi$
$823$	−7.14036			−0.248897			−0.124449	+	0.992226i	$0.539716\pi$
$824$	1.06120	+	16.8938i	0.0369688	+	0.588524i
$825$	0.0569334	−	0.125763i	0.00198217	−	0.00437852i
$826$	−9.77586	+	4.71544i	−0.340146	+	0.164071i
$827$			0.829180i			0.0288334i	0.999896	+	0.0144167i	$0.00458914\pi$
$827$			0.829180i			0.0288334i	−0.999896	+	0.0144167i	$0.995411\pi$
$828$	1.05173	+	16.3368i	0.0365500	+	0.567744i
$829$	5.23402	+	3.02186i	0.181785	+	0.104954i	0.588131	−	0.808766i	$-0.299864\pi$
$829$	5.23402	+	3.02186i	0.181785	+	0.104954i	−0.406346	+	0.913719i	$0.633197\pi$
$830$	−36.9276	−	42.1849i	−1.28178	−	1.46426i
$831$	−4.04538	−	5.64144i	−0.140333	−	0.195699i
$832$	1.44629	+	11.4667i	0.0501410	+	0.397535i
$833$	0.794650	−	50.8625i	0.0275330	−	1.76228i
$834$	2.61842	+	2.45527i	0.0906685	+	0.0850191i
$835$		−	33.2226i		−	1.14972i
$836$	−0.190907	+	1.43007i	−0.00660267	+	0.0494600i
$837$	−6.91723	−	22.7233i	−0.239094	−	0.785431i
$838$	16.3293	−	14.2943i	0.564086	−	0.493787i
$839$	19.2338	−	33.3139i	0.664024	−	1.15012i	−0.315525	−	0.948917i	$-0.602181\pi$
$839$	19.2338	−	33.3139i	0.664024	−	1.15012i	0.979549	−	0.201206i	$-0.0644860\pi$
$840$	28.6144	−	12.6148i	0.987292	−	0.435251i
$841$	−6.85788	−	11.8782i	−0.236479	−	0.409593i
$842$	27.6811	+	9.42443i	0.953955	+	0.324787i
$843$	5.13933	+	2.32659i	0.177008	+	0.0801319i
$844$	23.7024	−	30.7741i	0.815871	−	1.05929i
$845$	−22.8017	+	13.1645i	−0.784401	+	0.452874i
$846$	−23.8752	+	9.88231i	−0.820848	+	0.339761i
$847$	−28.0279	−	7.74519i	−0.963049	−	0.266128i
$848$	−28.8774	+	7.62571i	−0.991655	+	0.261868i
$849$	−7.03937	+	0.695628i	−0.241591	+	0.0238739i
$850$	8.27625	−	1.63846i	0.283873	−	0.0561987i
$851$			0.667376i			0.0228773i
$852$	−1.28474	−	2.41219i	−0.0440144	−	0.0826403i
$853$	−15.6912	−	9.05933i	−0.537257	−	0.310186i	0.206709	−	0.978402i	$-0.433725\pi$
$853$	−15.6912	−	9.05933i	−0.537257	−	0.310186i	−0.743967	+	0.668217i	$0.767058\pi$
$854$	−38.4577	+	18.5503i	−1.31600	+	0.634778i
$855$	−52.7397	+	10.5262i	−1.80366	+	0.359989i
$856$	−9.76532	+	19.6673i	−0.333772	+	0.672213i
$857$	−1.12499	−	1.94854i	−0.0384290	−	0.0665610i	0.846171	−	0.532911i	$-0.178902\pi$
$857$	−1.12499	−	1.94854i	−0.0384290	−	0.0665610i	−0.884600	+	0.466350i	$0.845569\pi$
$858$	−0.334547	−	0.0782101i	−0.0114212	−	0.00267005i
$859$	−31.1270	−	17.9712i	−1.06204	−	0.613169i	−0.136045	−	0.990703i	$-0.543439\pi$
$859$	−31.1270	−	17.9712i	−1.06204	−	0.613169i	−0.925996	+	0.377533i	$0.876772\pi$
$860$	6.16970	+	4.75195i	0.210385	+	0.162040i
$861$	−33.8830	−	28.2342i	−1.15473	−	0.962218i
$862$	−5.86631	+	17.2303i	−0.199807	+	0.586867i
$863$	−5.70004	−	9.87276i	−0.194032	−	0.336073i	0.752551	−	0.658534i	$-0.228823\pi$
$863$	−5.70004	−	9.87276i	−0.194032	−	0.336073i	−0.946583	+	0.322461i	$0.895490\pi$
$864$	28.0977	+	8.63245i	0.955903	+	0.293682i
$865$	21.1020	−	36.5498i	0.717490	−	1.24273i
$866$	13.4169	−	2.65617i	0.455926	−	0.0902603i
$867$	50.4029	−	36.1430i	1.71177	−	1.22748i
$868$	14.5398	+	19.3309i	0.493513	+	0.656135i
$869$	0.0559624	−	0.0323099i	0.00189839	−	0.00109604i
$870$	−15.8038	+	16.8539i	−0.535798	+	0.571400i
$871$	−7.14283	−	12.3717i	−0.242025	−	0.419200i
$872$	−34.6097	+	2.17405i	−1.17203	+	0.0736225i
$873$	−13.5055	+	39.8709i	−0.457091	+	1.34943i
$874$	5.56782	+	28.1244i	0.188334	+	0.951321i
$875$	25.8204	−	6.70283i	0.872888	−	0.226597i
$876$	−43.3671	−	1.48420i	−1.46524	−	0.0501465i
$877$	−15.3671	−	8.87222i	−0.518912	−	0.299594i	0.217578	−	0.976043i	$-0.430184\pi$
$877$	−15.3671	−	8.87222i	−0.518912	−	0.299594i	−0.736489	+	0.676449i	$0.763518\pi$
$878$	−32.8202	+	6.49747i	−1.10763	+	0.219279i
$879$	10.9670	+	15.2940i	0.369909	+	0.515853i
$880$	−0.664922	+	0.660123i	−0.0224145	+	0.0222527i
$881$	32.7140			1.10216			0.551081	−	0.834452i	$-0.314215\pi$
$881$	32.7140			1.10216			0.551081	+	0.834452i	$0.314215\pi$
$882$	−18.4511	+	23.2714i	−0.621281	+	0.783588i
$883$		−	26.7269i		−	0.899433i	−0.893171	−	0.449716i	$-0.851525\pi$
$883$		−	26.7269i		−	0.899433i	0.893171	−	0.449716i	$-0.148475\pi$
$884$	−8.00005	−	19.4132i	−0.269071	−	0.652936i
$885$	11.0430	+	4.99921i	0.371208	+	0.168047i
$886$	−10.4633	−	52.8524i	−0.351520	−	1.77561i
$887$	−7.72817	+	13.3856i	−0.259487	+	0.449444i	−0.966104	−	0.258151i	$-0.916887\pi$
$887$	−7.72817	+	13.3856i	−0.259487	+	0.449444i	0.706618	+	0.707595i	$0.250220\pi$
$888$	1.12047	+	0.424778i	0.0376006	+	0.0142546i
$889$	0.805250	+	3.10195i	0.0270072	+	0.104036i
$890$	−2.74482	−	13.8647i	−0.0920066	−	0.464747i
$891$	−0.531025	+	0.693910i	−0.0177900	+	0.0232469i
$892$	3.54642	−	26.5659i	0.118743	−	0.889494i
$893$	−39.1907	+	22.6267i	−1.31147	+	0.757175i
$894$	5.56741	−	23.8148i	0.186202	−	0.796486i
$895$	−10.3987	−	18.0110i	−0.347589	−	0.602042i
$896$	−29.8939	+	1.53493i	−0.998684	+	0.0512785i
$897$	−6.79421	+	0.671401i	−0.226852	+	0.0224174i
$898$	21.6951	−	4.29500i	0.723974	−	0.143326i
$899$	−15.4769	−	8.93562i	−0.516185	−	0.298020i
$900$	−4.41517	−	2.18370i	−0.147172	−	0.0727899i
$901$	46.9915	−	27.1306i	1.56552	−	0.903851i
$902$	1.25094	+	0.425900i	0.0416517	+	0.0141809i
$903$	−7.28778	−	1.25933i	−0.242522	−	0.0419080i
$904$	10.5292	+	5.22804i	0.350197	+	0.173882i
$905$	−22.6287	+	39.1941i	−0.752203	+	1.30285i
$906$	−8.30497	+	8.85682i	−0.275914	+	0.294248i
$907$	14.4452	−	8.33993i	0.479644	−	0.276923i	−0.240624	−	0.970618i	$-0.577352\pi$
$907$	14.4452	−	8.33993i	0.479644	−	0.276923i	0.720268	+	0.693696i	$0.244019\pi$
$908$	4.10547	−	5.33035i	0.136245	−	0.176894i
$909$	−35.3978	+	31.0837i	−1.17407	+	1.03098i
$910$	5.66603	+	11.7466i	0.187827	+	0.389396i
$911$	5.41753	−	9.38344i	0.179491	−	0.310887i	−0.762215	−	0.647323i	$-0.775888\pi$
$911$	5.41753	−	9.38344i	0.179491	−	0.310887i	0.941706	+	0.336436i	$0.109222\pi$
$912$	50.7626	+	8.55293i	1.68092	+	0.283216i
$913$	−1.59528			−0.0527961
$914$	35.6278	−	7.05328i	1.17846	−	0.233302i
$915$	43.4427	+	19.6666i	1.43617	+	0.650159i
$916$	−28.3641	−	3.78647i	−0.937178	−	0.125109i
$917$	−2.09505	+	7.58145i	−0.0691846	+	0.250361i
$918$	−53.3725	−	1.74352i	−1.76156	−	0.0575448i
$919$	−0.0613302	−	0.106227i	−0.00202310	−	0.00350411i	0.865012	−	0.501751i	$-0.167311\pi$
$919$	−0.0613302	−	0.106227i	−0.00202310	−	0.00350411i	−0.867035	+	0.498247i	$0.833977\pi$
$920$	−8.28030	+	16.6764i	−0.272993	+	0.549806i
$921$	−4.07332	+	0.402523i	−0.134220	+	0.0132636i
$922$	−11.0654	−	3.76737i	−0.364419	−	0.124072i
$923$	0.987079	−	0.569890i	0.0324901	−	0.0187582i
$924$	0.266206	−	0.849065i	0.00875752	−	0.0279322i
$925$	−0.173901	−	0.100402i	−0.00571781	−	0.00330118i
$926$	−35.1392	−	40.1418i	−1.15474	−	1.31914i
$927$	−5.76004	+	17.0048i	−0.189185	+	0.558512i
$928$	19.8789	−	9.69155i	0.652556	−	0.318141i
$929$	10.9730			0.360011			0.180006	−	0.983666i	$-0.442388\pi$
$929$	10.9730			0.360011			0.180006	+	0.983666i	$0.442388\pi$
$930$	6.14974	−	26.3057i	0.201658	−	0.862599i
$931$	−26.7062	+	44.6316i	−0.875262	+	1.46274i
$932$	20.7863	+	16.0098i	0.680879	+	0.524419i
$933$	−1.29202	−	13.0746i	−0.0422989	−	0.428042i
$934$	13.4421	−	11.7669i	0.439838	−	0.385023i
$935$	0.851101	−	1.47415i	0.0278340	−	0.0482098i
$936$	−3.19722	+	11.8343i	−0.104504	+	0.386816i
$937$	39.6875			1.29653			0.648267	−	0.761413i	$-0.275494\pi$
$937$	39.6875			1.29653			0.648267	+	0.761413i	$0.275494\pi$
$938$	33.3248	−	16.0744i	1.08809	−	0.524847i
$939$	3.32293	+	33.6262i	0.108440	+	1.09735i
$940$	−29.1301	−	3.88872i	−0.950118	−	0.126836i
$941$			35.8531i			1.16878i	0.811474	+	0.584389i	$0.198666\pi$
$941$			35.8531i			1.16878i	−0.811474	+	0.584389i	$0.801334\pi$
$942$	19.5760	−	5.92592i	0.637822	−	0.193077i
$943$	26.2597			0.855134
$944$	−8.17486	−	8.23429i	−0.266069	−	0.268003i
$945$	33.1575	−	0.858597i	1.07861	−	0.0279302i
$946$	0.217372	−	0.0430334i	0.00706737	−	0.00139914i
$947$			22.4328i			0.728967i	0.931210	+	0.364483i	$0.118754\pi$
$947$			22.4328i			0.728967i	−0.931210	+	0.364483i	$0.881246\pi$
$948$	−1.08386	−	2.03502i	−0.0352020	−	0.0660944i
$949$		−	18.0967i		−	0.587443i
$950$	−8.16611	−	2.78027i	−0.264944	−	0.0902038i
$951$	50.2476	−	4.96544i	1.62939	−	0.161015i
$952$	51.6761	−	16.9371i	1.67483	−	0.548935i
$953$	−11.5099			−0.372842			−0.186421	−	0.982470i	$-0.559689\pi$
$953$	−11.5099			−0.372842			−0.186421	+	0.982470i	$0.559689\pi$
$954$	−31.4070	−	4.14298i	−1.01684	−	0.134134i
$955$	48.0031	+	27.7146i	1.55334	+	0.896823i
$956$	15.4646	+	11.9110i	0.500161	+	0.385228i
$957$	0.0646512	+	0.654235i	0.00208988	+	0.0211484i
$958$	33.1520	+	37.8717i	1.07109	+	1.22358i
$959$	8.42494	−	8.29435i	0.272056	−	0.267838i
$960$	22.7282	+	24.5164i	0.733548	+	0.791263i
$961$	−10.1039			−0.325932
$962$	−0.161065	+	0.473074i	−0.00519294	+	0.0152525i
$963$	−17.5005	+	15.3677i	−0.563946	+	0.495216i
$964$	24.9972	+	19.2531i	0.805107	+	0.620100i
$965$	14.3726	+	8.29801i	0.462670	+	0.267122i
$966$	−0.430228	−	17.6771i	−0.0138424	−	0.568751i
$967$	−21.1034	−	36.5521i	−0.678638	−	1.17544i	−0.975391	−	0.220482i	$-0.929237\pi$
$967$	−21.1034	−	36.5521i	−0.678638	−	1.17544i	0.296753	−	0.954954i	$-0.404096\pi$
$968$	−1.94886	−	31.0249i	−0.0626388	−	0.997178i
$969$	−93.0689	+	9.19702i	−2.98980	+	0.295451i
$970$	−36.0249	+	31.5353i	−1.15669	+	1.01254i
$971$	26.2010	−	15.1271i	0.840829	−	0.485453i	−0.0167166	−	0.999860i	$-0.505321\pi$
$971$	26.2010	−	15.1271i	0.840829	−	0.485453i	0.857546	+	0.514407i	$0.171988\pi$
$972$	24.0964	+	19.7829i	0.772892	+	0.634537i
$973$	−2.72003	−	2.76285i	−0.0872000	−	0.0885730i
$974$	17.1099	−	50.2547i	0.548238	−	1.61027i
$975$	0.847187	−	1.87140i	0.0271317	−	0.0599328i
$976$	−32.1595	−	32.3932i	−1.02940	−	1.03688i
$977$	−39.5819			−1.26634			−0.633168	−	0.774014i	$-0.718246\pi$
$977$	−39.5819			−1.26634			−0.633168	+	0.774014i	$0.718246\pi$
$978$	−31.7900	−	29.8092i	−1.01653	−	0.953195i
$979$	−0.348290	−	0.201085i	−0.0111314	−	0.00642671i
$980$	−31.4267	+	12.3801i	−1.00389	+	0.395466i
$981$	−34.8372	−	11.8004i	−1.11227	−	0.376757i
$982$	11.6400	−	10.1894i	0.371449	−	0.325157i
$983$	−5.34876	−	9.26432i	−0.170599	−	0.295486i	0.768031	−	0.640413i	$-0.221237\pi$
$983$	−5.34876	−	9.26432i	−0.170599	−	0.295486i	−0.938629	+	0.344927i	$0.887904\pi$
$984$	16.7140	−	44.0881i	0.532824	−	1.40548i
$985$	−7.22132	+	12.5077i	−0.230090	+	0.398528i
$986$	−30.2315	+	26.4639i	−0.962766	+	0.842782i
$987$	26.1940	−	9.63548i	0.833765	−	0.306701i
$988$	−2.84077	+	21.2799i	−0.0903768	+	0.677005i
$989$	3.81347	−	2.20171i	0.121261	−	0.0700102i
$990$	−0.918240	+	0.380072i	−0.0291836	+	0.0120795i
$991$	7.06278	−	12.2331i	0.224357	−	0.388597i	−0.731770	−	0.681552i	$-0.761305\pi$
$991$	7.06278	−	12.2331i	0.224357	−	0.388597i	0.956126	+	0.292955i	$0.0946386\pi$
$992$	−14.4635	+	21.4355i	−0.459218	+	0.680578i
$993$	−27.2405	+	2.69190i	−0.864452	+	0.0854248i
$994$	1.28249	+	2.65882i	0.0406782	+	0.0843325i
$995$	−42.3439	+	24.4472i	−1.34239	+	0.775030i
$996$	−1.94690	+	56.8868i	−0.0616899	+	1.80253i
$997$	−43.4562	+	25.0894i	−1.37627	+	0.794591i	−0.991708	−	0.128508i	$-0.958981\pi$
$997$	−43.4562	+	25.0894i	−1.37627	+	0.794591i	−0.384563	+	0.923099i	$0.625648\pi$
$998$	32.0313	+	10.9055i	1.01393	+	0.345208i
$999$	0.928487	+	0.867925i	0.0293760	+	0.0274599i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cq.a.277.8	yes	184
7.2	even	3		504.2.w.a.205.68	yes	184
8.5	even	2	inner	504.2.cq.a.277.7	yes	184
9.4	even	3		504.2.w.a.445.54	yes	184
56.37	even	6		504.2.w.a.205.54	✓	184
63.58	even	3	inner	504.2.cq.a.373.8	yes	184
72.13	even	6		504.2.w.a.445.68	yes	184
504.373	even	6	inner	504.2.cq.a.373.7	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.54	✓	184	56.37	even	6
504.2.w.a.205.68	yes	184	7.2	even	3
504.2.w.a.445.54	yes	184	9.4	even	3
504.2.w.a.445.68	yes	184	72.13	even	6
504.2.cq.a.277.7	yes	184	8.5	even	2	inner
504.2.cq.a.277.8	yes	184	1.1	even	1	trivial
504.2.cq.a.373.7	yes	184	504.373	even	6	inner
504.2.cq.a.373.8	yes	184	63.58	even	3	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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cq (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38729 + 0.274643i) q^{2} +(0.170331 + 1.72366i) q^{3} +(1.84914 - 0.762020i) q^{4} +(2.08943 + 1.20633i) q^{5} +(-0.709689 - 2.34443i) q^{6} +(0.664788 + 2.56087i) q^{7} +(-2.35601 + 1.56500i) q^{8} +(-2.94197 + 0.587183i) q^{9} +O(q^{10})\)	\(q+(-1.38729 + 0.274643i) q^{2} +(0.170331 + 1.72366i) q^{3} +(1.84914 - 0.762020i) q^{4} +(2.08943 + 1.20633i) q^{5} +(-0.709689 - 2.34443i) q^{6} +(0.664788 + 2.56087i) q^{7} +(-2.35601 + 1.56500i) q^{8} +(-2.94197 + 0.587183i) q^{9} +(-3.22995 - 1.09968i) q^{10} +(-0.0840799 + 0.0485436i) q^{11} +(1.62843 + 3.05749i) q^{12} +(-1.25114 + 0.722344i) q^{13} +(-1.62558 - 3.37009i) q^{14} +(-1.72341 + 3.80693i) q^{15} +(2.83865 - 2.81817i) q^{16} +(-3.63348 + 6.29337i) q^{17} +(3.92010 - 1.62259i) q^{18} +(6.43476 - 3.71511i) q^{19} +(4.78290 + 0.638493i) q^{20} +(-4.30082 + 1.58206i) q^{21} +(0.103311 - 0.0904360i) q^{22} +(1.36422 - 2.36290i) q^{23} +(-3.09882 - 3.79438i) q^{24} +(0.410473 + 0.710960i) q^{25} +(1.53730 - 1.34572i) q^{26} +(-1.51321 - 4.97094i) q^{27} +(3.18072 + 4.22883i) q^{28} +(-3.38573 - 1.95475i) q^{29} +(1.34531 - 5.75463i) q^{30} +4.57123 q^{31} +(-3.16404 + 4.68923i) q^{32} +(-0.0979938 - 0.136656i) q^{33} +(3.31225 - 9.72863i) q^{34} +(-1.70023 + 6.15271i) q^{35} +(-4.99268 + 3.32763i) q^{36} +(-0.211830 + 0.122300i) q^{37} +(-7.90654 + 6.92119i) q^{38} +(-1.45818 - 2.03349i) q^{39} +(-6.81062 + 0.427817i) q^{40} +(4.81222 + 8.33501i) q^{41} +(5.53198 - 3.37597i) q^{42} +(1.39767 + 0.806947i) q^{43} +(-0.118485 + 0.153835i) q^{44} +(-6.85538 - 2.32212i) q^{45} +(-1.24361 + 3.65270i) q^{46} -6.09046 q^{47} +(5.34106 + 4.41284i) q^{48} +(-6.11611 + 3.40487i) q^{49} +(-0.764705 - 0.873573i) q^{50} +(-11.4665 - 5.19091i) q^{51} +(-1.76309 + 2.28911i) q^{52} +(-6.46647 - 3.73342i) q^{53} +(3.46449 + 6.48053i) q^{54} -0.234239 q^{55} +(-5.57400 - 4.99305i) q^{56} +(7.49960 + 10.4585i) q^{57} +(5.23385 + 1.78194i) q^{58} -2.90077i q^{59} +(-0.285868 + 8.35282i) q^{60} -11.4115i q^{61} +(-6.34161 + 1.25546i) q^{62} +(-3.45949 - 7.14366i) q^{63} +(3.10157 - 7.37430i) q^{64} -3.48555 q^{65} +(0.173477 + 0.162669i) q^{66} +9.88840i q^{67} +(-1.92315 + 14.4061i) q^{68} +(4.30519 + 1.94897i) q^{69} +(0.668913 - 9.00254i) q^{70} -0.788945 q^{71} +(6.01238 - 5.98759i) q^{72} +(-6.26317 + 10.8481i) q^{73} +(0.260280 - 0.227843i) q^{74} +(-1.15553 + 0.828612i) q^{75} +(9.06779 - 11.7732i) q^{76} +(-0.180209 - 0.183047i) q^{77} +(2.58140 + 2.42056i) q^{78} -0.665586 q^{79} +(9.33080 - 2.46400i) q^{80} +(8.31043 - 3.45496i) q^{81} +(-8.96509 - 10.2414i) q^{82} +(14.2300 + 8.21571i) q^{83} +(-6.74727 + 6.20277i) q^{84} +(-15.1838 + 8.76636i) q^{85} +(-2.16060 - 0.735607i) q^{86} +(2.79263 - 6.16879i) q^{87} +(0.122123 - 0.245954i) q^{88} +(2.07118 + 3.58739i) q^{89} +(10.1482 + 1.33867i) q^{90} +(-2.68157 - 2.72379i) q^{91} +(0.722061 - 5.40890i) q^{92} +(0.778621 + 7.87922i) q^{93} +(8.44923 - 1.67271i) q^{94} +17.9266 q^{95} +(-8.62154 - 4.65499i) q^{96} +(7.01603 - 12.1521i) q^{97} +(7.54969 - 6.40329i) q^{98} +(0.218857 - 0.192184i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

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