LMFDB - Embedded newform 273.2.bv.b.2.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(2,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 1]))

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

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

chi := DirichletCharacter("273.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bv (of order $12$, degree $4$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			2.18
Character	$\chi$	$=$	273.2
Dual form			273.2.bv.b.137.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.363959 + 0.363959i) q^{2} +(1.33667 + 1.10151i) q^{3} -1.73507i q^{4} +(-0.585566 + 0.156902i) q^{5} +(0.0855890 + 0.887396i) q^{6} +(2.22038 - 1.43871i) q^{7} +(1.35941 - 1.35941i) q^{8} +(0.573364 + 2.94470i) q^{9} +O(q^{10})$	\(q+(0.363959 + 0.363959i) q^{2} +(1.33667 + 1.10151i) q^{3} -1.73507i q^{4} +(-0.585566 + 0.156902i) q^{5} +(0.0855890 + 0.887396i) q^{6} +(2.22038 - 1.43871i) q^{7} +(1.35941 - 1.35941i) q^{8} +(0.573364 + 2.94470i) q^{9} +(-0.270228 - 0.156016i) q^{10} +(0.738252 + 2.75519i) q^{11} +(1.91119 - 2.31921i) q^{12} +(-2.72590 - 2.35998i) q^{13} +(1.33176 + 0.284497i) q^{14} +(-0.955537 - 0.435280i) q^{15} -2.48059 q^{16} +6.66659 q^{17} +(-0.863069 + 1.28043i) q^{18} +(0.107405 + 0.0287792i) q^{19} +(0.272236 + 1.01600i) q^{20} +(4.55267 + 0.522689i) q^{21} +(-0.734084 + 1.27147i) q^{22} -3.67124 q^{23} +(3.31448 - 0.319681i) q^{24} +(-4.01186 + 2.31625i) q^{25} +(-0.133180 - 1.85105i) q^{26} +(-2.47721 + 4.56765i) q^{27} +(-2.49626 - 3.85252i) q^{28} +(-6.05589 + 3.49637i) q^{29} +(-0.189352 - 0.506200i) q^{30} +(2.41647 + 0.647491i) q^{31} +(-3.62166 - 3.62166i) q^{32} +(-2.04807 + 4.49597i) q^{33} +(2.42637 + 2.42637i) q^{34} +(-1.07445 + 1.19084i) q^{35} +(5.10925 - 0.994825i) q^{36} +(-6.28852 - 6.28852i) q^{37} +(0.0286167 + 0.0495656i) q^{38} +(-1.04409 - 6.15710i) q^{39} +(-0.582731 + 1.00932i) q^{40} +(-0.495039 + 1.84751i) q^{41} +(1.46675 + 1.84722i) q^{42} +(6.15587 + 3.55410i) q^{43} +(4.78045 - 1.28092i) q^{44} +(-0.797772 - 1.63435i) q^{45} +(-1.33618 - 1.33618i) q^{46} +(-1.40100 - 5.22862i) q^{47} +(-3.31573 - 2.73239i) q^{48} +(2.86021 - 6.38899i) q^{49} +(-2.30317 - 0.617133i) q^{50} +(8.91102 + 7.34330i) q^{51} +(-4.09472 + 4.72962i) q^{52} +(-7.03136 + 4.05956i) q^{53} +(-2.56404 + 0.760835i) q^{54} +(-0.864591 - 1.49752i) q^{55} +(1.06261 - 4.97422i) q^{56} +(0.111865 + 0.156776i) q^{57} +(-3.47663 - 0.931561i) q^{58} +(3.55413 - 3.55413i) q^{59} +(-0.755240 + 1.65792i) q^{60} +(-0.131398 - 0.227588i) q^{61} +(0.643835 + 1.11516i) q^{62} +(5.50966 + 5.71346i) q^{63} +2.32492i q^{64} +(1.96648 + 0.954224i) q^{65} +(-2.38176 + 0.890936i) q^{66} +(-0.965031 - 3.60154i) q^{67} -11.5670i q^{68} +(-4.90723 - 4.04390i) q^{69} +(-0.824473 + 0.0423644i) q^{70} +(-14.7028 + 3.93959i) q^{71} +(4.78250 + 3.22362i) q^{72} +(1.57687 - 5.88495i) q^{73} -4.57753i q^{74} +(-7.91388 - 1.32304i) q^{75} +(0.0499338 - 0.186356i) q^{76} +(5.60313 + 5.05546i) q^{77} +(1.86093 - 2.62094i) q^{78} +(2.15814 - 3.73801i) q^{79} +(1.45255 - 0.389210i) q^{80} +(-8.34251 + 3.37677i) q^{81} +(-0.852592 + 0.492244i) q^{82} +(-0.495031 - 0.495031i) q^{83} +(0.906900 - 7.89919i) q^{84} +(-3.90373 + 1.04600i) q^{85} +(0.946941 + 3.53403i) q^{86} +(-11.9460 - 1.99712i) q^{87} +(4.74903 + 2.74185i) q^{88} +(5.58988 - 5.58988i) q^{89} +(0.304482 - 0.885195i) q^{90} +(-9.44787 - 1.31827i) q^{91} +6.36985i q^{92} +(2.51680 + 3.52724i) q^{93} +(1.39310 - 2.41291i) q^{94} -0.0674085 q^{95} +(-0.851673 - 8.83024i) q^{96} +(2.12448 + 7.92867i) q^{97} +(3.36633 - 1.28433i) q^{98} +(-7.68993 + 3.75366i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	0.363959	+	0.363959i	0.257358	+	0.257358i	0.823979	−	0.566621i	$-0.191750\pi$
$2$	0.363959	+	0.363959i	0.257358	+	0.257358i	−0.566621	+	0.823979i	$0.691750\pi$
$3$	1.33667	+	1.10151i	0.771726	+	0.635955i
$3$	1.33667	+	1.10151i	0.771726	+	0.635955i
$4$		−	1.73507i		−	0.867534i
$5$	−0.585566	+	0.156902i	−0.261873	+	0.0701687i	−0.387367	−	0.921926i	$-0.626615\pi$
$5$	−0.585566	+	0.156902i	−0.261873	+	0.0701687i	0.125493	+	0.992094i	$0.459949\pi$
$6$	0.0855890	+	0.887396i	0.0349416	+	0.362278i
$7$	2.22038	−	1.43871i	0.839226	−	0.543782i
$7$	2.22038	−	1.43871i	0.839226	−	0.543782i
$8$	1.35941	−	1.35941i	0.480625	−	0.480625i
$9$	0.573364	+	2.94470i	0.191121	+	0.981566i
$10$	−0.270228	−	0.156016i	−0.0854537	−	0.0493367i
$11$	0.738252	+	2.75519i	0.222591	+	0.830722i	0.983355	+	0.181693i	$0.0581578\pi$
$11$	0.738252	+	2.75519i	0.222591	+	0.830722i	−0.760764	+	0.649029i	$0.775175\pi$
$12$	1.91119	−	2.31921i	0.551713	−	0.669498i
$13$	−2.72590	−	2.35998i	−0.756028	−	0.654540i
$13$	−2.72590	−	2.35998i	−0.756028	−	0.654540i
$14$	1.33176	+	0.284497i	0.355928	+	0.0760350i
$15$	−0.955537	−	0.435280i	−0.246719	−	0.112389i
$16$	−2.48059			−0.620149
$17$	6.66659			1.61689			0.808443	−	0.588574i	$-0.200311\pi$
$17$	6.66659			1.61689			0.808443	+	0.588574i	$0.200311\pi$
$18$	−0.863069	+	1.28043i	−0.203427	+	0.301801i
$19$	0.107405	+	0.0287792i	0.0246405	+	0.00660240i	0.271118	−	0.962546i	$-0.412607\pi$
$19$	0.107405	+	0.0287792i	0.0246405	+	0.00660240i	−0.246478	+	0.969148i	$0.579273\pi$
$20$	0.272236	+	1.01600i	0.0608737	+	0.227184i
$21$	4.55267	+	0.522689i	0.993474	+	0.114060i
$22$	−0.734084	+	1.27147i	−0.156507	+	0.271079i
$23$	−3.67124			−0.765506			−0.382753	−	0.923851i	$-0.625024\pi$
$23$	−3.67124			−0.765506			−0.382753	+	0.923851i	$0.625024\pi$
$24$	3.31448	−	0.319681i	0.676566	−	0.0652545i
$25$	−4.01186	+	2.31625i	−0.802371	+	0.463249i
$26$	−0.133180	−	1.85105i	−0.0261188	−	0.363021i
$27$	−2.47721	+	4.56765i	−0.476739	+	0.879045i
$28$	−2.49626	−	3.85252i	−0.471749	−	0.728057i
$29$	−6.05589	+	3.49637i	−1.12455	+	0.649260i	−0.942559	−	0.334040i	$-0.891588\pi$
$29$	−6.05589	+	3.49637i	−1.12455	+	0.649260i	−0.181992	+	0.983300i	$0.558255\pi$
$30$	−0.189352	−	0.506200i	−0.0345708	−	0.0924191i
$31$	2.41647	+	0.647491i	0.434010	+	0.116293i	0.469208	−	0.883088i	$-0.344539\pi$
$31$	2.41647	+	0.647491i	0.434010	+	0.116293i	−0.0351977	+	0.999380i	$0.511206\pi$
$32$	−3.62166	−	3.62166i	−0.640225	−	0.640225i
$33$	−2.04807	+	4.49597i	−0.356523	+	0.782648i
$34$	2.42637	+	2.42637i	0.416119	+	0.416119i
$35$	−1.07445	+	1.19084i	−0.181614	+	0.201289i
$36$	5.10925	−	0.994825i	0.851542	−	0.165804i
$37$	−6.28852	−	6.28852i	−1.03383	−	1.03383i	−0.999408	−	0.0344182i	$-0.989042\pi$
$37$	−6.28852	−	6.28852i	−1.03383	−	1.03383i	−0.0344182	−	0.999408i	$-0.510958\pi$
$38$	0.0286167	+	0.0495656i	0.00464225	+	0.00804060i
$39$	−1.04409	−	6.15710i	−0.167188	−	0.985925i
$40$	−0.582731	+	1.00932i	−0.0921379	+	0.159588i
$41$	−0.495039	+	1.84751i	−0.0773121	+	0.288533i	−0.993748	−	0.111650i	$-0.964387\pi$
$41$	−0.495039	+	1.84751i	−0.0773121	+	0.288533i	0.916436	+	0.400182i	$0.131053\pi$
$42$	1.46675	+	1.84722i	0.226324	+	0.285033i
$43$	6.15587	+	3.55410i	0.938762	+	0.541994i	0.889572	−	0.456795i	$-0.151003\pi$
$43$	6.15587	+	3.55410i	0.938762	+	0.541994i	0.0491899	+	0.998789i	$0.484336\pi$
$44$	4.78045	−	1.28092i	0.720679	−	0.193105i
$45$	−0.797772	−	1.63435i	−0.118925	−	0.243635i
$46$	−1.33618	−	1.33618i	−0.197009	−	0.197009i
$47$	−1.40100	−	5.22862i	−0.204358	−	0.762673i	−0.989644	−	0.143541i	$-0.954151\pi$
$47$	−1.40100	−	5.22862i	−0.204358	−	0.762673i	0.785287	−	0.619132i	$-0.212515\pi$
$48$	−3.31573	−	2.73239i	−0.478585	−	0.394387i
$49$	2.86021	−	6.38899i	0.408602	−	0.912713i
$50$	−2.30317	−	0.617133i	−0.325718	−	0.0872758i
$51$	8.91102	+	7.34330i	1.24779	+	1.02827i
$52$	−4.09472	+	4.72962i	−0.567835	+	0.655880i
$53$	−7.03136	+	4.05956i	−0.965831	+	0.557623i	−0.897963	−	0.440072i	$-0.854953\pi$
$53$	−7.03136	+	4.05956i	−0.965831	+	0.557623i	−0.0678683	+	0.997694i	$0.521620\pi$
$54$	−2.56404	+	0.760835i	−0.348922	+	0.103536i
$55$	−0.864591	−	1.49752i	−0.116581	−	0.201925i
$56$	1.06261	−	4.97422i	0.141998	−	0.664708i
$57$	0.111865	+	0.156776i	0.0148169	+	0.0207655i
$58$	−3.47663	−	0.931561i	−0.456504	−	0.122320i
$59$	3.55413	−	3.55413i	0.462708	−	0.462708i	−0.436834	−	0.899542i	$-0.643900\pi$
$59$	3.55413	−	3.55413i	0.462708	−	0.462708i	0.899542	+	0.436834i	$0.143900\pi$
$60$	−0.755240	+	1.65792i	−0.0975010	+	0.214037i
$61$	−0.131398	−	0.227588i	−0.0168238	−	0.0291397i	0.857491	−	0.514499i	$-0.172022\pi$
$61$	−0.131398	−	0.227588i	−0.0168238	−	0.0291397i	−0.874315	+	0.485359i	$0.838689\pi$
$62$	0.643835	+	1.11516i	0.0817672	+	0.141625i
$63$	5.50966	+	5.71346i	0.694152	+	0.719828i
$64$			2.32492i			0.290615i
$65$	1.96648	+	0.954224i	0.243912	+	0.118357i
$66$	−2.38176	+	0.890936i	−0.293175	+	0.109667i
$67$	−0.965031	−	3.60154i	−0.117897	−	0.439999i	0.881590	−	0.472016i	$-0.156474\pi$
$67$	−0.965031	−	3.60154i	−0.117897	−	0.439999i	−0.999487	+	0.0320173i	$0.989807\pi$
$68$		−	11.5670i		−	1.40270i
$69$	−4.90723	−	4.04390i	−0.590761	−	0.486828i
$70$	−0.824473	+	0.0423644i	−0.0985434	+	0.00506351i
$71$	−14.7028	+	3.93959i	−1.74490	+	0.467544i	−0.983525	−	0.180772i	$-0.942141\pi$
$71$	−14.7028	+	3.93959i	−1.74490	+	0.467544i	−0.761372	+	0.648315i	$0.775474\pi$
$72$	4.78250	+	3.22362i	0.563623	+	0.379908i
$73$	1.57687	−	5.88495i	0.184558	−	0.688781i	−0.810166	−	0.586200i	$-0.800623\pi$
$73$	1.57687	−	5.88495i	0.184558	−	0.688781i	0.994725	−	0.102581i	$-0.0327100\pi$
$74$		−	4.57753i		−	0.532127i
$75$	−7.91388	−	1.32304i	−0.913817	−	0.152771i
$76$	0.0499338	−	0.186356i	0.00572780	−	0.0213765i
$77$	5.60313	+	5.05546i	0.638536	+	0.576123i
$78$	1.86093	−	2.62094i	0.210708	−	0.296763i
$79$	2.15814	−	3.73801i	0.242810	−	0.420559i	−0.718704	−	0.695317i	$-0.755264\pi$
$79$	2.15814	−	3.73801i	0.242810	−	0.420559i	0.961514	+	0.274757i	$0.0885975\pi$
$80$	1.45255	−	0.389210i	0.162400	−	0.0435150i
$81$	−8.34251	+	3.37677i	−0.926945	+	0.375196i
$82$	−0.852592	+	0.492244i	−0.0941530	+	0.0543593i
$83$	−0.495031	−	0.495031i	−0.0543367	−	0.0543367i	0.679416	−	0.733753i	$-0.262233\pi$
$83$	−0.495031	−	0.495031i	−0.0543367	−	0.0543367i	−0.733753	+	0.679416i	$0.762233\pi$
$84$	0.906900	−	7.89919i	0.0989509	−	0.861872i
$85$	−3.90373	+	1.04600i	−0.423419	+	0.113455i
$86$	0.946941	+	3.53403i	0.102111	+	0.381084i
$87$	−11.9460	−	1.99712i	−1.28075	−	0.214114i
$88$	4.74903	+	2.74185i	0.506248	+	0.292283i
$89$	5.58988	−	5.58988i	0.592526	−	0.592526i	−0.345787	−	0.938313i	$-0.612388\pi$
$89$	5.58988	−	5.58988i	0.592526	−	0.592526i	0.938313	+	0.345787i	$0.112388\pi$
$90$	0.304482	−	0.885195i	0.0320952	−	0.0933077i
$91$	−9.44787	−	1.31827i	−0.990405	−	0.138193i
$92$			6.36985i			0.664103i
$93$	2.51680	+	3.52724i	0.260980	+	0.365757i
$94$	1.39310	−	2.41291i	0.143687	−	0.248873i
$95$	−0.0674085			−0.00691597
$96$	−0.851673	−	8.83024i	−0.0869235	−	0.901233i
$97$	2.12448	+	7.92867i	0.215708	+	0.805035i	0.985916	+	0.167241i	$0.0534859\pi$
$97$	2.12448	+	7.92867i	0.215708	+	0.805035i	−0.770208	+	0.637793i	$0.779847\pi$
$98$	3.36633	−	1.28433i	0.340051	−	0.129737i
$99$	−7.68993	+	3.75366i	−0.772867	+	0.377257i
$100$	4.01884	+	6.96084i	0.401884	+	0.696084i
$101$	−8.73146	+	15.1233i	−0.868813	+	1.50483i	−0.00560258	+	0.999984i	$0.501783\pi$
$101$	−8.73146	+	15.1233i	−0.868813	+	1.50483i	−0.863211	+	0.504844i	$0.831550\pi$
$102$	0.570587	+	5.91591i	0.0564965	+	0.585762i
$103$	4.19525	+	2.42213i	0.413370	+	0.238659i	0.692237	−	0.721671i	$-0.256625\pi$
$103$	4.19525	+	2.42213i	0.413370	+	0.238659i	−0.278867	+	0.960330i	$0.589959\pi$
$104$	−6.91380	+	0.497438i	−0.677954	+	0.0487778i
$105$	−2.74790	+	0.408254i	−0.268168	+	0.0398415i
$106$	−4.03664	−	1.08161i	−0.392073	−	0.105056i
$107$			8.93749i			0.864019i	0.901869	+	0.432010i	$0.142195\pi$
$107$			8.93749i			0.864019i	−0.901869	+	0.432010i	$0.857805\pi$
$108$	7.92518	+	4.29813i	0.762601	+	0.413588i
$109$	17.2357	+	4.61829i	1.65088	+	0.442352i	0.959860	−	0.280481i	$-0.0904940\pi$
$109$	17.2357	+	4.61829i	1.65088	+	0.442352i	0.691022	+	0.722834i	$0.257161\pi$
$110$	0.230359	−	0.859710i	0.0219638	−	0.0819702i
$111$	−1.47881	−	15.3325i	−0.140363	−	1.45530i
$112$	−5.50787	+	3.56886i	−0.520445	+	0.337226i
$113$	12.2742	+	7.08650i	1.15466	+	0.666642i	0.950018	−	0.312195i	$-0.101064\pi$
$113$	12.2742	+	7.08650i	1.15466	+	0.666642i	0.204640	+	0.978837i	$0.434398\pi$
$114$	−0.0163458	+	0.0977743i	−0.00153093	+	0.00915740i
$115$	2.14975	−	0.576025i	0.200466	−	0.0537146i
$116$	6.06644	+	10.5074i	0.563255	+	0.975586i
$117$	5.38649	−	9.38007i	0.497981	−	0.867188i
$118$	2.58712			0.238163
$119$	14.8024	−	9.59131i	1.35693	−	0.879234i
$120$	−1.89069	+	0.707244i	−0.172596	+	0.0645622i
$121$	2.48020	−	1.43195i	0.225473	−	0.130177i
$122$	0.0350092	−	0.130656i	0.00316959	−	0.0118291i
$123$	−2.69675	+	1.92422i	−0.243158	+	0.173501i
$124$	1.12344	−	4.19273i	0.100888	−	0.376519i
$125$	4.12911	−	4.12911i	0.369319	−	0.369319i
$126$	−0.0741738	+	4.08476i	−0.00660793	+	0.363899i
$127$	−4.45170	+	2.57019i	−0.395025	+	0.228068i	−0.684335	−	0.729168i	$-0.739907\pi$
$127$	−4.45170	+	2.57019i	−0.395025	+	0.228068i	0.289310	+	0.957235i	$0.406574\pi$
$128$	−8.08949	+	8.08949i	−0.715017	+	0.715017i
$129$	4.31350	+	11.5314i	0.379782	+	1.01528i
$130$	0.368419	+	1.06302i	0.0323125	+	0.0932327i
$131$	−11.8192	−	6.82385i	−1.03265	−	0.596202i	−0.114909	−	0.993376i	$-0.536658\pi$
$131$	−11.8192	−	6.82385i	−1.03265	−	0.596202i	−0.917743	+	0.397174i	$0.869991\pi$
$132$	7.80081	+	3.55354i	0.678973	+	0.309296i
$133$	0.279886	−	0.0906246i	0.0242692	−	0.00785815i
$134$	0.959583	−	1.66205i	0.0828954	−	0.143579i
$135$	0.733898	−	3.06334i	0.0631639	−	0.263650i
$136$	9.06265	−	9.06265i	0.777116	−	0.777116i
$137$	12.0732	−	12.0732i	1.03148	−	1.03148i	0.0319923	−	0.999488i	$-0.489815\pi$
$137$	12.0732	−	12.0732i	1.03148	−	1.03148i	0.999488	−	0.0319923i	$-0.0101852\pi$
$138$	−0.314218	−	3.25784i	−0.0267480	−	0.277326i
$139$	2.63414	−	4.56246i	0.223425	−	0.386983i	−0.732421	−	0.680852i	$-0.761610\pi$
$139$	2.63414	−	4.56246i	0.223425	−	0.386983i	0.955846	+	0.293869i	$0.0949430\pi$
$140$	2.06620	+	1.86424i	0.174625	+	0.157557i
$141$	3.88669	−	8.53215i	0.327318	−	0.718537i
$142$	−6.78506	−	3.91735i	−0.569389	−	0.328737i
$143$	4.48979	−	9.25263i	0.375455	−	0.773744i
$144$	−1.42228	−	7.30460i	−0.118524	−	0.608717i
$145$	2.99754	−	2.99754i	0.248932	−	0.248932i
$146$	2.71580	−	1.56796i	0.224761	−	0.129766i
$147$	10.8607	−	5.38941i	0.895773	−	0.444511i
$148$	−10.9110	+	10.9110i	−0.896879	+	0.896879i
$149$	3.90405	−	14.5701i	0.319832	−	1.19363i	−0.599573	−	0.800320i	$-0.704663\pi$
$149$	3.90405	−	14.5701i	0.319832	−	1.19363i	0.919405	−	0.393311i	$-0.128670\pi$
$150$	−2.39880	−	3.36186i	−0.195861	−	0.274495i
$151$	−0.666111	+	2.48596i	−0.0542073	+	0.202304i	−0.987719	−	0.156244i	$-0.950061\pi$
$151$	−0.666111	+	2.48596i	−0.0542073	+	0.202304i	0.933511	+	0.358548i	$0.116728\pi$
$152$	0.185131	−	0.106885i	0.0150161	−	0.00866955i
$153$	3.82238	+	19.6311i	0.309021	+	1.58708i
$154$	0.199332	+	3.87929i	0.0160626	+	0.312602i
$155$	−1.51659			−0.121816
$156$	−10.6830	+	1.81157i	−0.855323	+	0.145041i
$157$	10.3838	+	17.9852i	0.828714	+	1.43537i	0.899047	+	0.437851i	$0.144260\pi$
$157$	10.3838	+	17.9852i	0.828714	+	1.43537i	−0.0703335	+	0.997524i	$0.522406\pi$
$158$	2.14596	−	0.575008i	0.170723	−	0.0457452i
$159$	−13.8702	−	2.31881i	−1.09998	−	0.183894i
$160$	2.68897	+	1.55248i	0.212582	+	0.122734i
$161$	−8.15156	+	5.28186i	−0.642433	+	0.416269i
$162$	−4.26534	−	1.80733i	−0.335117	−	0.141997i
$163$	2.21724	−	8.27484i	0.173667	−	0.648135i	−0.823107	−	0.567886i	$-0.807762\pi$
$163$	2.21724	−	8.27484i	0.173667	−	0.648135i	0.996775	−	0.0802497i	$-0.0255718\pi$
$164$	3.20555	+	0.858926i	0.250312	+	0.0670708i
$165$	0.493853	−	2.95403i	0.0384464	−	0.229971i
$166$		−	0.360342i		−	0.0279680i
$167$	12.6916	+	3.40070i	0.982104	+	0.263154i	0.713931	−	0.700217i	$-0.246913\pi$
$167$	12.6916	+	3.40070i	0.982104	+	0.263154i	0.268174	+	0.963371i	$0.413580\pi$
$168$	6.89950	−	5.47840i	0.532308	−	0.422668i
$169$	1.86103	+	12.8661i	0.143156	+	0.989700i
$170$	−1.80150	−	1.04010i	−0.138169	−	0.0797718i
$171$	−0.0231637	+	0.332777i	−0.00177137	+	0.0254481i
$172$	6.16659	−	10.6809i	0.470198	−	0.814408i
$173$	7.27526	+	12.6011i	0.553128	+	0.958045i	0.998047	+	0.0624742i	$0.0198991\pi$
$173$	7.27526	+	12.6011i	0.553128	+	0.958045i	−0.444919	+	0.895571i	$0.646768\pi$
$174$	−3.62098	−	5.07473i	−0.274506	−	0.384714i
$175$	−5.57545	+	10.9149i	−0.421465	+	0.825086i
$176$	−1.83130	−	6.83452i	−0.138040	−	0.515171i
$177$	8.66559	−	0.835792i	0.651346	−	0.0628220i
$178$	4.06898			0.304983
$179$	−3.17131	+	5.49286i	−0.237035	+	0.410556i	−0.959862	−	0.280473i	$-0.909509\pi$
$179$	−3.17131	+	5.49286i	−0.237035	+	0.410556i	0.722827	+	0.691029i	$0.242842\pi$
$180$	−2.83572	+	1.38419i	−0.211362	+	0.103171i
$181$		−	14.7632i		−	1.09734i	−0.836039	−	0.548670i	$-0.815134\pi$
$181$		−	14.7632i		−	1.09734i	0.836039	−	0.548670i	$-0.184866\pi$
$182$	−2.95884	−	3.91843i	−0.219324	−	0.290454i
$183$	0.0750543	−	0.448945i	0.00554817	−	0.0331870i
$184$	−4.99073	+	4.99073i	−0.367921	+	0.367921i
$185$	4.66902	+	2.69566i	0.343274	+	0.198189i
$186$	−0.367758	+	2.19978i	−0.0269653	+	0.161296i
$187$	4.92163	+	18.3678i	0.359905	+	1.34318i
$188$	−9.07201	+	2.43084i	−0.661644	+	0.177287i
$189$	1.07117	+	13.7059i	0.0779164	+	0.996960i
$190$	−0.0245339	−	0.0245339i	−0.00177988	−	0.00177988i
$191$	−4.18292	+	2.41501i	−0.302666	+	0.174744i	−0.643640	−	0.765329i	$-0.722576\pi$
$191$	−4.18292	+	2.41501i	−0.302666	+	0.174744i	0.340974	+	0.940073i	$0.389243\pi$
$192$	−2.56091	+	3.10764i	−0.184818	+	0.224275i
$193$	−6.90644	+	1.85058i	−0.497137	+	0.133207i	−0.498671	−	0.866791i	$-0.666178\pi$
$193$	−6.90644	+	1.85058i	−0.497137	+	0.133207i	0.00153417	+	0.999999i	$0.499512\pi$
$194$	−2.11249	+	3.65894i	−0.151668	+	0.262696i
$195$	1.57745	+	3.44157i	0.112963	+	0.246456i
$196$	−11.0853	−	4.96267i	−0.791809	−	0.354476i
$197$	0.311103	−	1.16105i	0.0221652	−	0.0827215i	−0.953957	−	0.299942i	$-0.903033\pi$
$197$	0.311103	−	1.16105i	0.0221652	−	0.0827215i	0.976122	+	0.217221i	$0.0696992\pi$
$198$	−4.16500	−	1.43264i	−0.295994	−	0.101813i
$199$		−	26.7117i		−	1.89355i	−0.321903	−	0.946773i	$-0.604323\pi$
$199$		−	26.7117i		−	1.89355i	0.321903	−	0.946773i	$-0.395677\pi$
$200$	−2.30503	+	8.60250i	−0.162990	+	0.608289i
$201$	2.67720	−	5.87706i	0.188835	−	0.414536i
$202$	−8.68217	+	2.32638i	−0.610876	+	0.163684i
$203$	−8.41614	+	16.4760i	−0.590697	+	1.15639i
$204$	12.7411	−	15.4612i	0.892057	−	1.08250i
$205$		−	1.15951i		−	0.0809838i
$206$	0.645343	+	2.40845i	0.0449632	+	0.167805i
$207$	−2.10496	−	10.8107i	−0.146304	−	0.751395i
$208$	6.76184	+	5.85414i	0.468850	+	0.405912i
$209$			0.317169i			0.0219390i
$210$	−1.14871	−	0.851536i	−0.0792686	−	0.0587616i
$211$	4.65199	+	8.05748i	0.320256	+	0.554699i	0.980541	−	0.196316i	$-0.0628978\pi$
$211$	4.65199	+	8.05748i	0.320256	+	0.554699i	−0.660285	+	0.751015i	$0.729564\pi$
$212$	7.04360	+	12.1999i	0.483757	+	0.837891i
$213$	−23.9922	−	10.9293i	−1.64392	−	0.748861i
$214$	−3.25288	+	3.25288i	−0.222362	+	0.222362i
$215$	−4.16232	−	1.11529i	−0.283868	−	0.0760621i
$216$	2.84177	+	9.57687i	0.193358	+	0.651623i
$217$	6.29704	−	2.03892i	0.427471	−	0.138411i
$218$	4.59222	+	7.95397i	0.311025	+	0.538711i
$219$	8.59006	−	6.12929i	0.580462	−	0.414179i
$220$	−2.59829	+	1.50012i	−0.175177	+	0.101138i
$221$	−18.1724	−	15.7330i	−1.22241	−	1.05832i
$222$	5.04218	−	6.11863i	0.338409	−	0.410656i
$223$	12.4448	+	3.33458i	0.833368	+	0.223300i	0.650182	−	0.759778i	$-0.274692\pi$
$223$	12.4448	+	3.33458i	0.833368	+	0.223300i	0.183185	+	0.983078i	$0.441359\pi$
$224$	−13.2520	−	2.83095i	−0.885436	−	0.189151i
$225$	−9.12090	−	10.4857i	−0.608060	−	0.699044i
$226$	1.88810	+	7.04650i	0.125595	+	0.468726i
$227$	−16.4445	−	16.4445i	−1.09146	−	1.09146i	−0.995373	−	0.0960878i	$-0.969367\pi$
$227$	−16.4445	−	16.4445i	−1.09146	−	1.09146i	−0.0960878	−	0.995373i	$-0.530633\pi$
$228$	0.272017	−	0.194093i	0.0180148	−	0.0128541i
$229$	−12.4305	+	3.33073i	−0.821428	+	0.220101i	−0.644971	−	0.764207i	$-0.723130\pi$
$229$	−12.4305	+	3.33073i	−0.821428	+	0.220101i	−0.176457	+	0.984308i	$0.556464\pi$
$230$	0.992072	+	0.572773i	0.0654153	+	0.0377675i
$231$	1.92091	+	12.9294i	0.126386	+	0.850690i
$232$	−3.47944	+	12.9855i	−0.228437	+	0.852537i
$233$	10.5717	−	18.3107i	0.692575	−	1.19958i	−0.278416	−	0.960461i	$-0.589809\pi$
$233$	10.5717	−	18.3107i	0.692575	−	1.19958i	0.970991	−	0.239115i	$-0.0768574\pi$
$234$	5.37442	−	1.45350i	0.351337	−	0.0950183i
$235$	1.64076	+	2.84188i	0.107032	+	0.185384i
$236$	−6.16665	−	6.16665i	−0.401415	−	0.401415i
$237$	7.00217	−	2.61927i	0.454840	−	0.170140i
$238$	8.87831	+	1.89662i	0.575496	+	0.122940i
$239$	−12.5478	−	12.5478i	−0.811647	−	0.811647i	0.173234	−	0.984881i	$-0.444578\pi$
$239$	−12.5478	−	12.5478i	−0.811647	−	0.811647i	−0.984881	+	0.173234i	$0.944578\pi$
$240$	2.37030	+	1.07975i	0.153002	+	0.0696977i
$241$	13.7180	+	13.7180i	0.883654	+	0.883654i	0.993904	−	0.110250i	$-0.0351650\pi$
$241$	13.7180	+	13.7180i	0.883654	+	0.883654i	−0.110250	+	0.993904i	$0.535165\pi$
$242$	1.42386	+	0.381523i	0.0915293	+	0.0245252i
$243$	−14.8707	−	4.67572i	−0.953956	−	0.299947i
$244$	−0.394881	+	0.227984i	−0.0252796	+	0.0145952i
$245$	−0.672400	+	4.18995i	−0.0429581	+	0.267686i
$246$	−1.68184	−	0.281169i	−0.107230	−	0.0179267i
$247$	−0.224858	−	0.331923i	−0.0143074	−	0.0211198i
$248$	4.16518	−	2.40477i	0.264489	−	0.152703i
$249$	−0.116412	−	1.20697i	−0.00737730	−	0.0764887i
$250$	3.00565			0.190094
$251$	1.26139	−	2.18480i	0.0796185	−	0.137903i	−0.823467	−	0.567364i	$-0.807963\pi$
$251$	1.26139	−	2.18480i	0.0796185	−	0.137903i	0.903085	+	0.429461i	$0.141296\pi$
$252$	9.91324	−	9.55964i	0.624475	−	0.602200i
$253$	−2.71030	−	10.1150i	−0.170395	−	0.635923i
$254$	−2.55568	−	0.684793i	−0.160358	−	0.0429678i
$255$	−6.37017	−	2.90183i	−0.398916	−	0.181720i
$256$	−1.23866			−0.0774161
$257$	10.8056			0.674036			0.337018	−	0.941498i	$-0.390582\pi$
$257$	10.8056			0.674036			0.337018	+	0.941498i	$0.390582\pi$
$258$	−2.62702	+	5.76689i	−0.163551	+	0.359031i
$259$	−23.0103	−	4.91556i	−1.42979	−	0.305438i
$260$	1.65564	−	3.41197i	0.102679	−	0.211602i
$261$	−13.7680	−	15.8281i	−0.852217	−	0.979734i
$262$	−1.81812	−	6.78532i	−0.112324	−	0.419199i
$263$	−8.67696	−	5.00965i	−0.535045	−	0.308908i	0.208024	−	0.978124i	$-0.433297\pi$
$263$	−8.67696	−	5.00965i	−0.535045	−	0.308908i	−0.743068	+	0.669216i	$0.766630\pi$
$264$	3.32771	+	8.89604i	0.204806	+	0.547514i
$265$	3.48037	−	3.48037i	0.213798	−	0.213798i
$266$	0.134851	+	0.0688835i	0.00826823	+	0.00422352i
$267$	13.6291	−	1.31452i	0.834088	−	0.0804474i
$268$	−6.24892	+	1.67439i	−0.381714	+	0.102280i
$269$			6.03035i			0.367677i	0.982956	+	0.183838i	$0.0588523\pi$
$269$			6.03035i			0.367677i	−0.982956	+	0.183838i	$0.941148\pi$
$270$	1.38204	−	0.847822i	0.0841083	−	0.0515968i
$271$	7.63837	+	7.63837i	0.463998	+	0.463998i	0.899963	−	0.435965i	$-0.143593\pi$
$271$	7.63837	+	7.63837i	0.463998	+	0.463998i	−0.435965	+	0.899963i	$0.643593\pi$
$272$	−16.5371			−1.00271
$273$	−11.1766	−	12.1690i	−0.676437	−	0.736500i
$274$	8.78828			0.530919
$275$	−9.34347	−	9.34347i	−0.563432	−	0.563432i
$276$	−7.01643	+	8.51437i	−0.422340	+	0.512505i
$277$			2.04108i			0.122637i	0.998118	+	0.0613184i	$0.0195305\pi$
$277$			2.04108i			0.122637i	−0.998118	+	0.0613184i	$0.980470\pi$
$278$	2.61927	−	0.701831i	0.157093	−	0.0420930i
$279$	−0.521150	+	7.48702i	−0.0312005	+	0.448236i
$280$	0.158234	+	3.07946i	0.00945628	+	0.184033i
$281$	6.29763	−	6.29763i	0.375685	−	0.375685i	−0.493858	−	0.869543i	$-0.664414\pi$
$281$	6.29763	−	6.29763i	0.375685	−	0.375685i	0.869543	+	0.493858i	$0.164414\pi$
$282$	4.51995	−	1.69076i	0.269159	−	0.100683i
$283$	0.316889	+	0.182956i	0.0188371	+	0.0108756i	0.509389	−	0.860536i	$-0.329871\pi$
$283$	0.316889	+	0.182956i	0.0188371	+	0.0108756i	−0.490552	+	0.871412i	$0.663205\pi$
$284$	6.83546	+	25.5103i	0.405610	+	1.51376i
$285$	−0.0901028	−	0.0742509i	−0.00533723	−	0.00439825i
$286$	5.00168	−	1.73348i	0.295756	−	0.102503i
$287$	1.55886	+	4.81440i	0.0920165	+	0.284185i
$288$	8.58817	−	12.7412i	0.506063	−	0.750784i
$289$	27.4435			1.61432
$290$	2.18196			0.128129
$291$	−5.89376	+	12.9381i	−0.345499	+	0.758447i
$292$	−10.2108	−	2.73597i	−0.597541	−	0.160111i
$293$	−2.26663	−	8.45917i	−0.132418	−	0.494190i	0.867577	−	0.497302i	$-0.165676\pi$
$293$	−2.26663	−	8.45917i	−0.132418	−	0.494190i	−0.999995	+	0.00311235i	$0.999009\pi$
$294$	5.91437	+	1.99132i	0.344933	+	0.116136i
$295$	−1.52353	+	2.63883i	−0.0887032	+	0.153639i
$296$	−17.0974			−0.993764
$297$	−14.4136	−	3.45312i	−0.836360	−	0.200370i
$298$	6.72385	−	3.88201i	0.389502	−	0.224879i
$299$	10.0074	+	8.66404i	0.578744	+	0.501054i
$300$	−2.29556	+	13.7311i	−0.132534	+	0.792767i
$301$	18.7817	−	0.965072i	1.08256	−	0.0556258i
$302$	−1.14722	+	0.662350i	−0.0660154	+	0.0381140i
$303$	−28.3295	+	10.5971i	−1.62749	+	0.608788i
$304$	−0.266429	−	0.0713895i	−0.0152808	−	0.00409447i
$305$	0.112651	+	0.112651i	0.00645039	+	0.00645039i
$306$	−5.75373	+	8.53611i	−0.328919	+	0.487977i
$307$	−21.7257	−	21.7257i	−1.23995	−	1.23995i	−0.960020	−	0.279931i	$-0.909689\pi$
$307$	−21.7257	−	21.7257i	−1.23995	−	1.23995i	−0.279931	−	0.960020i	$-0.590311\pi$
$308$	8.77156	−	9.72182i	0.499806	−	0.553952i
$309$	2.93966	+	7.85868i	0.167232	+	0.447064i
$310$	−0.551979	−	0.551979i	−0.0313503	−	0.0313503i
$311$	−3.42712	−	5.93595i	−0.194334	−	0.336597i	0.752348	−	0.658766i	$-0.228921\pi$
$311$	−3.42712	−	5.93595i	−0.194334	−	0.336597i	−0.946682	+	0.322169i	$0.895588\pi$
$312$	−9.78938	−	6.95069i	−0.554215	−	0.393505i
$313$	−2.08891	+	3.61810i	−0.118072	+	0.204507i	−0.919004	−	0.394249i	$-0.871005\pi$
$313$	−2.08891	+	3.61810i	−0.118072	+	0.204507i	0.800931	+	0.598756i	$0.204338\pi$
$314$	−2.76661	+	10.3251i	−0.156129	+	0.582681i
$315$	−4.12273	−	2.48113i	−0.232289	−	0.139796i
$316$	−6.48570	−	3.74452i	−0.364849	−	0.210646i
$317$	25.7910	−	6.91067i	1.44857	−	0.388142i	0.553041	−	0.833154i	$-0.313467\pi$
$317$	25.7910	−	6.91067i	1.44857	−	0.388142i	0.895525	+	0.445012i	$0.146800\pi$
$318$	−4.20424	−	5.89215i	−0.235762	−	0.330415i
$319$	−14.1040	−	14.1040i	−0.789670	−	0.789670i
$320$	−0.364784	−	1.36139i	−0.0203921	−	0.0761042i
$321$	−9.84471	+	11.9465i	−0.549478	+	0.666786i
$322$	−4.88922	−	1.04446i	−0.272465	−	0.0582052i
$323$	0.716028	+	0.191859i	0.0398409	+	0.0106753i
$324$	5.85892	+	14.4748i	0.325495	+	0.804156i
$325$	16.4022	+	3.15404i	0.909830	+	0.174954i
$326$	3.81869	−	2.20472i	0.211497	−	0.122108i
$327$	17.9513	+	25.1584i	0.992711	+	1.39126i
$328$	1.83857	+	3.18449i	0.101518	+	0.175834i
$329$	−10.6333	−	9.59391i	−0.586230	−	0.528929i
$330$	1.25489	−	0.895406i	0.0690794	−	0.0492905i
$331$	−30.5137	−	8.17613i	−1.67719	−	0.449401i	−0.710152	−	0.704048i	$-0.751374\pi$
$331$	−30.5137	−	8.17613i	−1.67719	−	0.449401i	−0.967034	+	0.254647i	$0.918041\pi$
$332$	−0.858912	+	0.858912i	−0.0471389	+	0.0471389i
$333$	14.9122	−	22.1234i	0.817183	−	1.21235i
$334$	3.38150	+	5.85693i	0.185028	+	0.320477i
$335$	1.13018	+	1.95753i	0.0617483	+	0.106951i
$336$	−11.2933	−	1.29658i	−0.616101	−	0.0707342i
$337$		−	3.24472i		−	0.176751i	−0.996087	−	0.0883757i	$-0.971832\pi$
$337$		−	3.24472i		−	0.176751i	0.996087	−	0.0883757i	$-0.0281676\pi$
$338$	−4.00540	+	5.36007i	−0.217865	+	0.291550i
$339$	8.60068	+	22.9924i	0.467125	+	1.24878i
$340$	1.81488	+	6.77324i	0.0984259	+	0.367331i
$341$			7.13585i			0.386428i
$342$	−0.129548	+	0.112687i	−0.00700516	+	0.00609340i
$343$	−2.84114	−	18.3010i	−0.153407	−	0.988163i
$344$	13.1998	−	3.53689i	0.711688	−	0.190696i
$345$	3.50800	+	1.59802i	0.188865	+	0.0860343i
$346$	−1.93839	+	7.23419i	−0.104209	+	0.388912i
$347$		−	6.51430i		−	0.349706i	−0.984595	−	0.174853i	$-0.944055\pi$
$347$		−	6.51430i		−	0.349706i	0.984595	−	0.174853i	$-0.0559450\pi$
$348$	−3.46514	+	20.7271i	−0.185751	+	1.11109i
$349$	−0.205822	+	0.768139i	−0.0110174	+	0.0411175i	−0.971216	−	0.238202i	$-0.923442\pi$
$349$	−0.205822	+	0.768139i	−0.0110174	+	0.0411175i	0.960198	+	0.279319i	$0.0901088\pi$
$350$	−6.00180	+	1.94333i	−0.320810	+	0.103875i
$351$	17.5322	−	6.60479i	0.935798	−	0.352537i
$352$	7.30468	−	12.6521i	0.389340	−	0.674358i
$353$	−2.89955	+	0.776931i	−0.154327	+	0.0413519i	−0.335155	−	0.942163i	$-0.608789\pi$
$353$	−2.89955	+	0.776931i	−0.154327	+	0.0413519i	0.180828	+	0.983515i	$0.442122\pi$
$354$	3.45812	+	2.84973i	0.183797	+	0.151461i
$355$	7.99131	−	4.61379i	0.424135	−	0.244874i
$356$	−9.69882	−	9.69882i	−0.514036	−	0.514036i
$357$	30.3508	+	3.48455i	1.60633	+	0.184422i
$358$	−3.15340	+	0.844952i	−0.166663	+	0.0446571i
$359$	3.06061	+	11.4224i	0.161533	+	0.602849i	0.998457	+	0.0555299i	$0.0176848\pi$
$359$	3.06061	+	11.4224i	0.161533	+	0.602849i	−0.836924	+	0.547319i	$0.815649\pi$
$360$	−3.30626	−	1.13726i	−0.174255	−	0.0599389i
$361$	−16.4438	−	9.49382i	−0.865462	−	0.499675i
$362$	5.37320	−	5.37320i	0.282409	−	0.282409i
$363$	4.89251	+	0.817925i	0.256790	+	0.0429299i
$364$	−2.28729	+	16.3927i	−0.119887	+	0.859210i
$365$			3.69344i			0.193323i
$366$	0.190715	−	0.136081i	0.00996881	−	0.00711307i
$367$	2.67003	−	4.62462i	0.139374	−	0.241403i	−0.787886	−	0.615821i	$-0.788824\pi$
$367$	2.67003	−	4.62462i	0.139374	−	0.241403i	0.927260	+	0.374418i	$0.122158\pi$
$368$	9.10685			0.474728
$369$	−5.72420	−	0.398445i	−0.297990	−	0.0207422i
$370$	0.718223	+	2.68045i	0.0373386	+	0.139350i
$371$	−9.77178	+	19.1299i	−0.507326	+	0.993173i
$372$	6.11999	−	4.36682i	0.317307	−	0.226409i
$373$	0.385219	+	0.667219i	0.0199459	+	0.0345473i	0.875826	−	0.482627i	$-0.160317\pi$
$373$	0.385219	+	0.667219i	0.0199459	+	0.0345473i	−0.855880	+	0.517174i	$0.826984\pi$
$374$	−4.89384	+	8.47638i	−0.253055	+	0.438303i
$375$	10.0675	−	0.971005i	0.519883	−	0.0501425i
$376$	−9.01239	−	5.20331i	−0.464779	−	0.268340i
$377$	24.7591	+	4.76101i	1.27516	+	0.245205i
$378$	−4.59854	+	5.37826i	−0.236523	+	0.276628i
$379$	−5.45003	−	1.46033i	−0.279949	−	0.0750121i	0.116113	−	0.993236i	$-0.462957\pi$
$379$	−5.45003	−	1.46033i	−0.279949	−	0.0750121i	−0.396062	+	0.918224i	$0.629623\pi$
$380$			0.116958i			0.00599983i
$381$	−8.78154	−	1.46809i	−0.449892	−	0.0752125i
$382$	−2.40138	−	0.643447i	−0.122865	−	0.0329216i
$383$	−8.41301	+	31.3978i	−0.429885	+	1.60435i	0.323134	+	0.946353i	$0.395264\pi$
$383$	−8.41301	+	31.3978i	−0.429885	+	1.60435i	−0.753019	+	0.657999i	$0.771403\pi$
$384$	−19.7236	+	1.90233i	−1.00652	+	0.0970780i
$385$	−4.07422	−	2.08116i	−0.207641	−	0.106066i
$386$	−3.18720	−	1.84013i	−0.162224	−	0.0936601i
$387$	−6.93619	+	20.1650i	−0.352586	+	1.02504i
$388$	13.7568	−	3.68612i	0.698395	−	0.187134i
$389$	9.13876	+	15.8288i	0.463354	+	0.802552i	0.999126	−	0.0418106i	$-0.0133126\pi$
$389$	9.13876	+	15.8288i	0.463354	+	0.802552i	−0.535772	+	0.844363i	$0.679979\pi$
$390$	−0.678466	+	1.82672i	−0.0343554	+	0.0924994i
$391$	−24.4747			−1.23774
$392$	−4.79706	−	12.5735i	−0.242288	−	0.635057i
$393$	−8.28190	−	22.1402i	−0.417766	−	1.11683i
$394$	0.535804	−	0.309347i	0.0269934	−	0.0155847i
$395$	−0.677234	+	2.52747i	−0.0340753	+	0.127171i
$396$	6.51285	+	13.3425i	0.327283	+	0.670488i
$397$	5.27802	−	19.6978i	0.264896	−	0.988607i	−0.697417	−	0.716665i	$-0.745668\pi$
$397$	5.27802	−	19.6978i	0.264896	−	0.988607i	0.962314	−	0.271942i	$-0.0876657\pi$
$398$	9.72198	−	9.72198i	0.487319	−	0.487319i
$399$	0.473939	+	0.187162i	0.0237266	+	0.00936980i
$400$	9.95179	−	5.74567i	0.497589	−	0.287283i
$401$	3.13806	−	3.13806i	0.156707	−	0.156707i	−0.624399	−	0.781106i	$-0.714656\pi$
$401$	3.13806	−	3.13806i	0.156707	−	0.156707i	0.781106	+	0.624399i	$0.214656\pi$
$402$	3.11340	−	1.16462i	0.155282	−	0.0580858i
$403$	−5.05898	−	7.46780i	−0.252006	−	0.371997i
$404$	26.2400	+	15.1497i	1.30549	+	0.753725i
$405$	4.35527	−	3.28628i	0.216415	−	0.163296i
$406$	−9.05971	+	2.93345i	−0.449626	+	0.145585i
$407$	12.6836	−	21.9686i	0.628701	−	1.08894i
$408$	22.0963	−	2.13118i	1.09393	−	0.105509i
$409$	−0.551442	+	0.551442i	−0.0272671	+	0.0272671i	−0.720609	−	0.693342i	$-0.756138\pi$
$409$	−0.551442	+	0.551442i	−0.0272671	+	0.0272671i	0.693342	+	0.720609i	$0.256138\pi$
$410$	0.422015	−	0.422015i	0.0208418	−	0.0208418i
$411$	29.4365	−	2.83914i	1.45200	−	0.140044i
$412$	4.20255	−	7.27904i	0.207045	−	0.358612i
$413$	2.77816	−	13.0049i	0.136705	−	0.639929i
$414$	3.16853	−	4.70077i	0.155725	−	0.231030i
$415$	0.367545	+	0.212202i	0.0180421	+	0.0104166i
$416$	1.32524	+	18.4193i	0.0649753	+	0.903080i
$417$	8.54656	−	3.19698i	0.418527	−	0.156557i
$418$	−0.115437	+	0.115437i	−0.00564619	+	0.00564619i
$419$	27.7526	−	16.0229i	1.35580	−	0.782772i	0.366746	−	0.930321i	$-0.380472\pi$
$419$	27.7526	−	16.0229i	1.35580	−	0.782772i	0.989055	+	0.147549i	$0.0471384\pi$
$420$	0.708348	+	4.76779i	0.0345639	+	0.232645i
$421$	−10.1971	+	10.1971i	−0.496975	+	0.496975i	−0.910495	−	0.413520i	$-0.864299\pi$
$421$	−10.1971	+	10.1971i	−0.496975	+	0.496975i	0.413520	+	0.910495i	$0.364299\pi$
$422$	−1.23946	+	4.62572i	−0.0603359	+	0.225177i
$423$	14.5934	−	7.12344i	0.709557	−	0.346353i
$424$	−4.03990	+	15.0771i	−0.196195	+	0.732210i
$425$	−26.7454	+	15.4415i	−1.29734	+	0.749022i
$426$	−4.75438	−	12.7100i	−0.230350	−	0.615801i
$427$	−0.619188	−	0.316289i	−0.0299646	−	0.0153063i
$428$	15.5071			0.749566
$429$	16.1932	−	7.42216i	0.781815	−	0.358345i
$430$	−1.10899	−	1.92083i	−0.0534804	−	0.0926308i
$431$	25.2526	−	6.76641i	1.21637	−	0.325927i	0.407114	−	0.913377i	$-0.366535\pi$
$431$	25.2526	−	6.76641i	1.21637	−	0.325927i	0.809260	+	0.587451i	$0.199868\pi$
$432$	6.14495	−	11.3305i	0.295649	−	0.545138i
$433$	22.9701	+	13.2618i	1.10387	+	0.637322i	0.937236	−	0.348696i	$-0.113375\pi$
$433$	22.9701	+	13.2618i	1.10387	+	0.637322i	0.166639	+	0.986018i	$0.446709\pi$
$434$	3.03395	+	1.54978i	0.145634	+	0.0743918i
$435$	7.30853	−	0.704904i	0.350417	−	0.0337976i
$436$	8.01305	−	29.9051i	0.383756	−	1.43220i
$437$	−0.394311	−	0.105655i	−0.0188624	−	0.00505418i
$438$	5.35724	+	0.895619i	0.255979	+	0.0427943i
$439$		−	15.5391i		−	0.741643i	−0.928704	−	0.370822i	$-0.879076\pi$
$439$		−	15.5391i		−	0.741643i	0.928704	−	0.370822i	$-0.120924\pi$
$440$	−3.21108	−	0.860405i	−0.153082	−	0.0410182i
$441$	20.4536	+	4.75926i	0.973981	+	0.226631i
$442$	−0.887859	−	12.3402i	−0.0422312	−	0.586963i
$443$	−18.8961	−	10.9097i	−0.897781	−	0.518334i	−0.0213015	−	0.999773i	$-0.506781\pi$
$443$	−18.8961	−	10.9097i	−0.897781	−	0.518334i	−0.876480	+	0.481439i	$0.840114\pi$
$444$	−26.6029	+	2.56584i	−1.26252	+	0.121769i
$445$	−2.39618	+	4.15031i	−0.113590	+	0.196744i
$446$	3.31576	+	5.74306i	0.157006	+	0.271942i
$447$	21.2675	−	15.1751i	1.00592	−	0.717757i
$448$	3.34489	+	5.16221i	0.158031	+	0.243891i
$449$	2.42107	+	9.03554i	0.114257	+	0.426413i	0.999230	−	0.0392286i	$-0.0124901\pi$
$449$	2.42107	+	9.03554i	0.114257	+	0.426413i	−0.884973	+	0.465642i	$0.845823\pi$
$450$	0.496716	−	7.13599i	0.0234154	−	0.336394i
$451$	−5.45571			−0.256899
$452$	12.2956	−	21.2965i	0.578335	−	1.00170i
$453$	−3.62867	+	2.58918i	−0.170490	+	0.121650i
$454$		−	11.9703i		−	0.561792i
$455$	5.73919	−	0.710453i	0.269057	−	0.0333066i
$456$	0.365194	+	0.0610528i	0.0171018	+	0.00285906i
$457$	−17.7972	+	17.7972i	−0.832516	+	0.832516i	−0.987860	−	0.155344i	$-0.950351\pi$
$457$	−17.7972	+	17.7972i	−0.832516	+	0.832516i	0.155344	+	0.987860i	$0.450351\pi$
$458$	−5.73643	−	3.31193i	−0.268046	−	0.154756i
$459$	−16.5146	+	30.4507i	−0.770833	+	1.42132i
$460$	−0.999442	−	3.72997i	−0.0465992	−	0.173911i
$461$	6.30203	−	1.68862i	0.293515	−	0.0786470i	−0.109057	−	0.994035i	$-0.534783\pi$
$461$	6.30203	−	1.68862i	0.293515	−	0.0786470i	0.402572	+	0.915388i	$0.368116\pi$
$462$	−4.00663	+	5.40489i	−0.186405	+	0.251458i
$463$	26.8435	+	26.8435i	1.24752	+	1.24752i	0.956810	+	0.290713i	$0.0938924\pi$
$463$	26.8435	+	26.8435i	1.24752	+	1.24752i	0.290713	+	0.956810i	$0.406108\pi$
$464$	15.0222	−	8.67308i	0.697389	−	0.402638i
$465$	−2.02718	−	1.67054i	−0.0940084	−	0.0774694i
$466$	10.5120	−	2.81669i	0.486960	−	0.130481i
$467$	−8.13965	+	14.0983i	−0.376658	+	0.652391i	−0.990574	−	0.136981i	$-0.956260\pi$
$467$	−8.13965	+	14.0983i	−0.376658	+	0.652391i	0.613916	+	0.789372i	$0.289593\pi$
$468$	−16.2751	−	9.34592i	−0.752315	−	0.432015i
$469$	−7.32432	−	6.60841i	−0.338206	−	0.305148i
$470$	−0.437159	+	1.63150i	−0.0201647	+	0.0752555i
$471$	−5.93118	+	35.4780i	−0.273295	+	1.63474i
$472$		−	9.66305i		−	0.444778i
$473$	−5.24764	+	19.5844i	−0.241287	+	0.900494i
$474$	3.50181	+	1.59519i	0.160843	+	0.0732697i
$475$	−0.497555	+	0.133319i	−0.0228294	+	0.00611711i
$476$	−16.6416	−	25.6832i	−0.762765	−	1.17719i
$477$	−15.9857	−	18.3776i	−0.731935	−	0.841454i
$478$		−	9.13374i		−	0.417767i
$479$	−6.42707	−	23.9862i	−0.293660	−	1.09596i	−0.942275	−	0.334839i	$-0.891318\pi$
$479$	−6.42707	−	23.9862i	−0.293660	−	1.09596i	0.648615	−	0.761117i	$-0.275349\pi$
$480$	1.88419	+	5.03706i	0.0860013	+	0.229909i
$481$	2.30110	+	31.9826i	0.104921	+	1.45828i
$482$			9.98559i			0.454831i
$483$	−16.7139	−	1.91892i	−0.760510	−	0.0873137i
$484$	−2.48452	−	4.30332i	−0.112933	−	0.195605i
$485$	−2.48805	−	4.30943i	−0.112977	−	0.195681i
$486$	−3.71056	−	7.11410i	−0.168314	−	0.322702i
$487$	3.31415	−	3.31415i	0.150178	−	0.150178i	−0.628019	−	0.778198i	$-0.716134\pi$
$487$	3.31415	−	3.31415i	0.150178	−	0.150178i	0.778198	+	0.628019i	$0.216134\pi$
$488$	−0.488010	−	0.130762i	−0.0220912	−	0.00591931i
$489$	12.0785	−	8.61841i	0.546209	−	0.389738i
$490$	−1.76970	+	1.28024i	−0.0799468	+	0.0578356i
$491$	−6.70572	−	11.6146i	−0.302625	−	0.524162i	0.674105	−	0.738636i	$-0.264530\pi$
$491$	−6.70572	−	11.6146i	−0.302625	−	0.524162i	−0.976730	+	0.214474i	$0.931196\pi$
$492$	3.33865	+	4.67904i	0.150518	+	0.210947i
$493$	−40.3722	+	23.3089i	−1.81827	+	1.04978i
$494$	0.0389674	−	0.202646i	0.00175323	−	0.00911745i
$495$	3.91401	−	3.40458i	0.175922	−	0.153025i
$496$	−5.99428	−	1.60616i	−0.269151	−	0.0721188i
$497$	−26.9778	+	29.9005i	−1.21012	+	1.34122i
$498$	0.396919	−	0.481657i	0.0177864	−	0.0215836i
$499$	4.85834	+	18.1316i	0.217489	+	0.811681i	0.985275	+	0.170975i	$0.0546916\pi$
$499$	4.85834	+	18.1316i	0.217489	+	0.811681i	−0.767786	+	0.640706i	$0.778642\pi$
$500$	−7.16428	−	7.16428i	−0.320396	−	0.320396i
$501$	13.2185	+	18.5255i	0.590561	+	0.827657i
$502$	1.25427	−	0.336081i	0.0559809	−	0.0150001i
$503$	−7.05367	−	4.07244i	−0.314508	−	0.181581i	0.334434	−	0.942419i	$-0.391455\pi$
$503$	−7.05367	−	4.07244i	−0.314508	−	0.181581i	−0.648942	+	0.760838i	$0.724788\pi$
$504$	15.2568	+	0.277044i	0.679594	+	0.0123405i
$505$	2.73997	−	10.2257i	0.121927	−	0.455038i
$506$	2.69500	−	4.66788i	0.119807	−	0.207512i
$507$	−11.6845	+	19.2476i	−0.518928	+	0.854818i
$508$	4.45946	+	7.72401i	0.197856	+	0.342697i
$509$	19.9906	+	19.9906i	0.886069	+	0.886069i	0.994143	−	0.108074i	$-0.0344682\pi$
$509$	19.9906	+	19.9906i	0.886069	+	0.886069i	−0.108074	+	0.994143i	$0.534468\pi$
$510$	−1.26233	−	3.37463i	−0.0558971	−	0.149431i
$511$	−4.96549	−	15.3355i	−0.219661	−	0.678403i
$512$	15.7282	+	15.7282i	0.695093	+	0.695093i
$513$	−0.397519	+	0.419298i	−0.0175509	+	0.0185125i
$514$	3.93280	+	3.93280i	0.173469	+	0.173469i
$515$	−2.83663	−	0.760073i	−0.124997	−	0.0334928i
$516$	20.0077	−	7.48421i	0.880791	−	0.329474i
$517$	13.3716	−	7.72008i	0.588081	−	0.339529i
$518$	−6.58574	−	10.1639i	−0.289361	−	0.446575i
$519$	−4.15561	+	24.8573i	−0.182411	+	1.09111i
$520$	3.97044	−	1.37607i	0.174115	−	0.0603447i
$521$	−16.2460	+	9.37963i	−0.711750	+	0.410929i	−0.811709	−	0.584062i	$-0.801462\pi$
$521$	−16.2460	+	9.37963i	−0.711750	+	0.410929i	0.0999585	+	0.994992i	$0.468129\pi$
$522$	0.749792	−	10.7718i	0.0328175	−	0.471467i
$523$	14.8982			0.651452			0.325726	−	0.945464i	$-0.394391\pi$
$523$	14.8982			0.651452			0.325726	+	0.945464i	$0.394391\pi$
$524$	−11.8398	+	20.5072i	−0.517225	+	0.895861i
$525$	−19.4753	+	8.44815i	−0.849973	+	0.368708i
$526$	−1.33475	−	4.98137i	−0.0581980	−	0.217198i
$527$	16.1096	+	4.31656i	0.701745	+	0.188032i
$528$	5.08043	−	11.1527i	0.221097	−	0.485358i
$529$	−9.52200			−0.414000
$530$	2.53343			0.110045
$531$	12.5036	+	8.42803i	0.542612	+	0.365745i
$532$	−0.157240	−	0.485621i	−0.00681721	−	0.0210544i
$533$	5.70950	−	3.86784i	0.247306	−	0.167535i
$534$	5.43887	+	4.48201i	0.235363	+	0.193955i
$535$	−1.40231	−	5.23349i	−0.0606271	−	0.226264i
$536$	−6.20786	−	3.58411i	−0.268139	−	0.154810i
$537$	−10.2894	+	3.84892i	−0.444021	+	0.166093i
$538$	−2.19480	+	2.19480i	−0.0946246	+	0.0946246i
$539$	19.7145	+	3.16376i	0.849162	+	0.136273i
$540$	−5.31510	−	1.27336i	−0.228726	−	0.0547968i
$541$	−31.4829	+	8.43582i	−1.35356	+	0.362684i	−0.861446	−	0.507849i	$-0.830441\pi$
$541$	−31.4829	+	8.43582i	−1.35356	+	0.362684i	−0.492110	+	0.870533i	$0.663774\pi$
$542$			5.56011i			0.238827i
$543$	16.2618	−	19.7335i	0.697859	−	0.846846i
$544$	−24.1441	−	24.1441i	−1.03517	−	1.03517i
$545$	−10.8173			−0.463361
$546$	0.361197	−	8.49683i	0.0154578	−	0.363631i
$547$	−6.32710			−0.270527			−0.135264	−	0.990810i	$-0.543188\pi$
$547$	−6.32710			−0.270527			−0.135264	+	0.990810i	$0.543188\pi$
$548$	−20.9478	−	20.9478i	−0.894844	−	0.894844i
$549$	0.594839	−	0.517418i	0.0253871	−	0.0220829i
$550$		−	6.80128i		−	0.290008i
$551$	−0.751058	+	0.201245i	−0.0319962	+	0.00857334i
$552$	−12.1683	+	1.17362i	−0.517916	+	0.0499528i
$553$	−0.586018	−	11.4048i	−0.0249200	−	0.484980i
$554$	−0.742870	+	0.742870i	−0.0315615	+	0.0315615i
$555$	3.27164	+	8.74617i	0.138874	+	0.371254i
$556$	−7.91618	−	4.57041i	−0.335721	−	0.193829i
$557$	−6.97442	−	26.0289i	−0.295516	−	1.10288i	−0.940807	−	0.338943i	$-0.889931\pi$
$557$	−6.97442	−	26.0289i	−0.295516	−	1.10288i	0.645291	−	0.763937i	$-0.276736\pi$
$558$	−2.91465	+	2.53529i	−0.123387	+	0.107327i
$559$	−8.39270	−	24.2158i	−0.354973	−	1.02422i
$560$	2.66526	−	2.95400i	0.112628	−	0.124829i
$561$	−13.6536	+	29.9728i	−0.576457	+	1.26545i
$562$	4.58416			0.193371
$563$	−38.6767			−1.63003			−0.815015	−	0.579441i	$-0.803271\pi$
$563$	−38.6767			−1.63003			−0.815015	+	0.579441i	$0.803271\pi$
$564$	−14.8039	−	6.74366i	−0.623355	−	0.283959i
$565$	−8.29924	−	2.22377i	−0.349151	−	0.0935549i
$566$	0.0487462	+	0.181923i	0.00204895	+	0.00764680i
$567$	−13.6654	+	19.5002i	−0.573892	+	0.818931i
$568$	−14.6316	+	25.3426i	−0.613928	+	1.06335i
$569$	−19.0907			−0.800324			−0.400162	−	0.916444i	$-0.631046\pi$
$569$	−19.0907			−0.800324			−0.400162	+	0.916444i	$0.631046\pi$
$570$	−0.00576942	−	0.0598180i	−0.000241655	−	0.00250550i
$571$	15.2095	−	8.78119i	0.636496	−	0.367481i	−0.146767	−	0.989171i	$-0.546887\pi$
$571$	15.2095	−	8.78119i	0.636496	−	0.367481i	0.783264	+	0.621690i	$0.213553\pi$
$572$	−16.0539	−	7.79009i	−0.671249	−	0.325720i
$573$	−8.25133	−	1.37945i	−0.344704	−	0.0576274i
$574$	−1.18488	+	2.31961i	−0.0494561	+	0.0968185i
$575$	14.7285	−	8.50350i	0.614220	−	0.354620i
$576$	−6.84618	+	1.33302i	−0.285257	+	0.0555426i
$577$	14.9110	+	3.99539i	0.620753	+	0.166330i	0.555470	−	0.831536i	$-0.312538\pi$
$577$	14.9110	+	3.99539i	0.620753	+	0.166330i	0.0652832	+	0.997867i	$0.479205\pi$
$578$	9.98830	+	9.98830i	0.415459	+	0.415459i
$579$	−11.2700	−	5.13389i	−0.468367	−	0.213357i
$580$	−5.20093	−	5.20093i	−0.215957	−	0.215957i
$581$	−1.81136	−	0.386952i	−0.0751481	−	0.0160535i
$582$	−6.85404	+	2.56386i	−0.284109	+	0.106276i
$583$	−16.3758	−	16.3758i	−0.678215	−	0.678215i
$584$	−5.85646	−	10.1437i	−0.242342	−	0.419748i
$585$	−1.68239	+	6.33781i	−0.0695585	+	0.262036i
$586$	2.25383	−	3.90375i	0.0931049	−	0.161262i
$587$	−9.54830	+	35.6347i	−0.394100	+	1.47080i	0.429206	+	0.903206i	$0.358793\pi$
$587$	−9.54830	+	35.6347i	−0.394100	+	1.47080i	−0.823307	+	0.567597i	$0.807873\pi$
$588$	−9.35099	−	18.8440i	−0.385628	−	0.777114i
$589$	0.240907	+	0.139088i	0.00992641	+	0.00573102i
$590$	−1.51493	+	0.405924i	−0.0623686	+	0.0167116i
$591$	1.69475	−	1.20926i	0.0697126	−	0.0497422i
$592$	15.5993	+	15.5993i	0.641125	+	0.641125i
$593$	−0.630070	−	2.35145i	−0.0258739	−	0.0965626i	0.951781	−	0.306777i	$-0.0992505\pi$
$593$	−0.630070	−	2.35145i	−0.0258739	−	0.0965626i	−0.977655	+	0.210214i	$0.932584\pi$
$594$	−3.98916	−	6.50274i	−0.163677	−	0.266811i
$595$	−7.16289	+	7.93887i	−0.293650	+	0.325462i
$596$	−25.2801	−	6.77380i	−1.03552	−	0.277465i
$597$	29.4232	−	35.7047i	1.20421	−	1.46130i
$598$	0.488937	+	6.79565i	0.0199941	+	0.277895i
$599$	17.1114	−	9.87927i	0.699153	−	0.403656i	−0.107879	−	0.994164i	$-0.534406\pi$
$599$	17.1114	−	9.87927i	0.699153	−	0.403656i	0.807032	+	0.590508i	$0.201073\pi$
$600$	−12.5568	+	8.95968i	−0.512628	+	0.365777i
$601$	10.9923	+	19.0392i	0.448384	+	0.776625i	0.998281	−	0.0586080i	$-0.0186662\pi$
$601$	10.9923	+	19.0392i	0.448384	+	0.776625i	−0.549897	+	0.835233i	$0.685333\pi$
$602$	7.18703	+	6.48453i	0.292921	+	0.264290i
$603$	10.0522	−	4.90672i	0.409355	−	0.199817i
$604$	4.31331	+	1.15575i	0.175506	+	0.0470267i
$605$	−1.22765	+	1.22765i	−0.0499110	+	0.0499110i
$606$	−14.1677	−	6.45388i	−0.575524	−	0.262171i
$607$	9.21953	+	15.9687i	0.374209	+	0.648149i	0.990208	−	0.139598i	$-0.0445809\pi$
$607$	9.21953	+	15.9687i	0.374209	+	0.648149i	−0.615999	+	0.787747i	$0.711248\pi$
$608$	−0.284757	−	0.493214i	−0.0115484	−	0.0200025i
$609$	−29.3980	+	12.7525i	−1.19127	+	0.516756i
$610$			0.0820009i			0.00332012i
$611$	−8.52043	+	17.5590i	−0.344700	+	0.710362i
$612$	34.0613	−	6.63209i	1.37685	−	0.268086i
$613$	6.16795	+	23.0191i	0.249121	+	0.929732i	0.971267	+	0.237992i	$0.0764891\pi$
$613$	6.16795	+	23.0191i	0.249121	+	0.929732i	−0.722146	+	0.691741i	$0.756844\pi$
$614$		−	15.8145i		−	0.638222i
$615$	1.27721	−	1.54988i	0.0515021	−	0.0624973i
$616$	14.4894	−	0.744518i	0.583795	−	0.0299975i
$617$	10.6637	−	2.85732i	0.429303	−	0.115031i	−0.0376959	−	0.999289i	$-0.512002\pi$
$617$	10.6637	−	2.85732i	0.429303	−	0.115031i	0.466999	+	0.884258i	$0.345335\pi$
$618$	−1.79032	+	3.93015i	−0.0720172	+	0.158094i
$619$	3.00376	−	11.2102i	0.120731	−	0.450576i	−0.878920	−	0.476969i	$-0.841735\pi$
$619$	3.00376	−	11.2102i	0.120731	−	0.450576i	0.999652	+	0.0263931i	$0.00840216\pi$
$620$			2.63139i			0.105679i
$621$	9.09443	−	16.7689i	0.364947	−	0.672914i
$622$	0.913111	−	3.40778i	0.0366124	−	0.136639i
$623$	4.36945	−	20.4539i	0.175058	−	0.819469i
$624$	2.58996	+	15.2733i	0.103681	+	0.611420i
$625$	9.81123	−	16.9936i	0.392449	−	0.679742i
$626$	−2.07712	+	0.556563i	−0.0830184	+	0.0222447i
$627$	−0.349364	+	0.423950i	−0.0139522	+	0.0169309i
$628$	31.2055	−	18.0165i	1.24524	−	0.718937i
$629$	−41.9230	−	41.9230i	−1.67158	−	1.67158i
$630$	−0.597473	−	2.40353i	−0.0238039	−	0.0957591i
$631$	−19.7896	+	5.30260i	−0.787811	+	0.211093i	−0.630226	−	0.776412i	$-0.717038\pi$
$631$	−19.7896	+	5.30260i	−0.787811	+	0.211093i	−0.157585	+	0.987505i	$0.550371\pi$
$632$	−2.14769	−	8.01530i	−0.0854307	−	0.318832i
$633$	−2.65721	+	15.8944i	−0.105614	+	0.631744i
$634$	11.9021	+	6.87166i	0.472692	+	0.272909i
$635$	2.20350	−	2.20350i	0.0874432	−	0.0874432i
$636$	−4.02329	+	24.0658i	−0.159534	+	0.954270i
$637$	−22.8745	+	10.6657i	−0.906321	+	0.422590i
$638$		−	10.2665i		−	0.406456i
$639$	−20.0309	−	41.0364i	−0.792412	−	1.62337i
$640$	3.46768	−	6.00619i	0.137072	−	0.237416i
$641$	−20.6741			−0.816576			−0.408288	−	0.912853i	$-0.633874\pi$
$641$	−20.6741			−0.816576			−0.408288	+	0.912853i	$0.633874\pi$
$642$	−7.93109	+	0.764950i	−0.313015	+	0.0301902i
$643$	4.94422	+	18.4521i	0.194981	+	0.727679i	0.992272	+	0.124084i	$0.0395991\pi$
$643$	4.94422	+	18.4521i	0.194981	+	0.727679i	−0.797291	+	0.603595i	$0.793734\pi$
$644$	9.16438	+	14.1435i	0.361127	+	0.557332i
$645$	−4.33514	−	6.07559i	−0.170696	−	0.239226i
$646$	0.190776	+	0.330434i	0.00750598	+	0.0130007i
$647$	15.6763	−	27.1521i	0.616299	−	1.06746i	−0.373857	−	0.927487i	$-0.621965\pi$
$647$	15.6763	−	27.1521i	0.616299	−	1.06746i	0.990155	−	0.139974i	$-0.0447019\pi$
$648$	−6.75049	+	15.9313i	−0.265184	+	0.625841i
$649$	12.4162	+	7.16847i	0.487377	+	0.281387i
$650$	4.82179	+	7.11767i	0.189126	+	0.279178i
$651$	10.6629	+	4.21087i	0.417914	+	0.165037i
$652$	−14.3574	−	3.84705i	−0.562279	−	0.150662i
$653$			32.4460i			1.26971i	0.772631	+	0.634855i	$0.218940\pi$
$653$			32.4460i			1.26971i	−0.772631	+	0.634855i	$0.781060\pi$
$654$	−2.62307	+	15.6902i	−0.102570	+	0.613535i
$655$	7.99163	+	2.14135i	0.312259	+	0.0836695i
$656$	1.22799	−	4.58292i	0.0479450	−	0.178933i
$657$	18.2335	+	1.26918i	0.711357	+	0.0495156i
$658$	−0.378279	−	7.36186i	−0.0147468	−	0.286995i
$659$	11.8367	+	6.83395i	0.461094	+	0.266213i	0.712504	−	0.701668i	$-0.247561\pi$
$659$	11.8367	+	6.83395i	0.461094	+	0.266213i	−0.251410	+	0.967881i	$0.580894\pi$
$660$	−5.12545	−	0.856868i	−0.199508	−	0.0333535i
$661$	34.7102	−	9.30058i	1.35007	−	0.361751i	0.489910	−	0.871773i	$-0.337030\pi$
$661$	34.7102	−	9.30058i	1.35007	−	0.361751i	0.860161	+	0.510022i	$0.170363\pi$
$662$	−8.12998	−	14.0815i	−0.315980	−	0.547294i
$663$	−6.96052	−	41.0469i	−0.270324	−	1.59413i
$664$	−1.34590			−0.0522311
$665$	−0.149673	+	0.0969814i	−0.00580406	+	0.00376078i
$666$	13.4794	−	2.62459i	0.522318	−	0.101701i
$667$	22.2326	−	12.8360i	0.860851	−	0.497012i
$668$	5.90044	−	22.0208i	0.228295	−	0.852009i
$669$	12.9615	+	18.1653i	0.501122	+	0.702311i
$670$	−0.301121	+	1.12380i	−0.0116333	+	0.0434161i
$671$	0.530044	−	0.530044i	0.0204621	−	0.0204621i
$672$	−14.5952	−	18.3812i	−0.563023	−	0.709071i
$673$	15.3454	−	8.85966i	0.591521	−	0.341515i	−0.174178	−	0.984714i	$-0.555727\pi$
$673$	15.3454	−	8.85966i	0.591521	−	0.341515i	0.765699	+	0.643200i	$0.222393\pi$
$674$	1.18095	−	1.18095i	0.0454884	−	0.0454884i
$675$	−0.641589	−	24.0626i	−0.0246948	−	0.926170i
$676$	22.3236	−	3.22901i	0.858598	−	0.124193i
$677$	−5.94352	−	3.43149i	−0.228428	−	0.131883i	0.381419	−	0.924402i	$-0.375436\pi$
$677$	−5.94352	−	3.43149i	−0.228428	−	0.131883i	−0.609847	+	0.792519i	$0.708769\pi$
$678$	−5.23800	+	11.4986i	−0.201164	+	0.441601i
$679$	16.1242	+	14.5482i	0.618792	+	0.558308i
$680$	−3.88483	+	6.72873i	−0.148977	+	0.258035i
$681$	−3.86711	−	40.0946i	−0.148188	−	1.53643i
$682$	−2.59716	+	2.59716i	−0.0994503	+	0.0994503i
$683$	−36.0622	+	36.0622i	−1.37988	+	1.37988i	−0.535077	+	0.844803i	$0.679717\pi$
$683$	−36.0622	+	36.0622i	−1.37988	+	1.37988i	−0.844803	+	0.535077i	$0.820283\pi$
$684$	0.577391	+	0.0401906i	0.0220771	+	0.00153673i
$685$	−5.17534	+	8.96395i	−0.197739	+	0.342495i
$686$	5.62677	−	7.69489i	0.214831	−	0.293792i
$687$	−20.2842	−	9.24016i	−0.773891	−	0.352534i
$688$	−15.2702	−	8.81627i	−0.582172	−	0.336117i
$689$	28.7472	+	5.52790i	1.09518	+	0.210596i
$690$	0.695158	+	1.85838i	0.0264642	+	0.0707474i
$691$	14.1949	−	14.1949i	0.539999	−	0.539999i	−0.383530	−	0.923529i	$-0.625292\pi$
$691$	14.1949	−	14.1949i	0.539999	−	0.539999i	0.923529	+	0.383530i	$0.125292\pi$
$692$	21.8638	−	12.6231i	0.831136	−	0.479857i
$693$	−11.6742	+	19.3982i	−0.443465	+	0.736875i
$694$	2.37094	−	2.37094i	0.0899997	−	0.0899997i
$695$	−0.826604	+	3.08493i	−0.0313549	+	0.117018i
$696$	−18.9544	+	13.5246i	−0.718466	+	0.512649i
$697$	−3.30022	+	12.3166i	−0.125005	+	0.466524i
$698$	−0.354482	+	0.204660i	−0.0134173	+	0.00774651i
$699$	34.3003	−	12.8306i	1.29736	−	0.485296i
$700$	18.9380	+	9.67379i	0.715790	+	0.365635i
$701$	−15.2937			−0.577635			−0.288817	−	0.957384i	$-0.593262\pi$
$701$	−15.2937			−0.577635			−0.288817	+	0.957384i	$0.593262\pi$
$702$	8.78486	+	3.97712i	0.331563	+	0.150107i
$703$	−0.494442	−	0.856399i	−0.0186482	−	0.0322997i
$704$	−6.40559	+	1.71637i	−0.241420	+	0.0646883i
$705$	−0.937201	+	5.60597i	−0.0352970	+	0.211133i
$706$	−1.33809	−	0.772545i	−0.0503596	−	0.0290751i
$707$	2.37093	+	46.1417i	0.0891678	+	1.73534i
$708$	−1.45016	−	15.0354i	−0.0545002	−	0.565064i
$709$	−8.98150	+	33.5194i	−0.337307	+	1.25885i	0.564038	+	0.825749i	$0.309247\pi$
$709$	−8.98150	+	33.5194i	−0.337307	+	1.25885i	−0.901346	+	0.433100i	$0.857420\pi$
$710$	4.58774	+	1.22928i	0.172175	+	0.0461341i
$711$	12.2447	+	4.21184i	0.459213	+	0.157956i
$712$		−	15.1979i		−	0.569565i
$713$	−8.87143	−	2.37709i	−0.332238	−	0.0890228i
$714$	9.77821	+	12.3147i	0.365940	+	0.460865i
$715$	−1.17731	+	6.12249i	−0.0440291	+	0.228968i
$716$	9.53049	+	5.50243i	0.356171	+	0.205635i
$717$	−2.95074	−	30.5936i	−0.110197	−	1.14254i
$718$	−3.04333	+	5.27121i	−0.113576	+	0.196720i
$719$	−14.4717	−	25.0658i	−0.539704	−	0.934795i	−0.998920	−	0.0464702i	$-0.985203\pi$
$719$	−14.4717	−	25.0658i	−0.539704	−	0.934795i	0.459215	−	0.888325i	$-0.348131\pi$
$720$	1.97895	+	4.05417i	0.0737510	+	0.151090i
$721$	12.7998	−	0.657700i	0.476690	−	0.0244940i
$722$	−2.52950	−	9.44022i	−0.0941383	−	0.351329i
$723$	3.22594	+	33.4469i	0.119974	+	1.24390i
$724$	−25.6151			−0.951980
$725$	16.1969	−	28.0539i	0.601538	−	1.04190i
$726$	1.48298	+	2.07836i	0.0550386	+	0.0771353i
$727$			30.4122i			1.12793i	0.825800	+	0.563963i	$0.190724\pi$
$727$			30.4122i			1.12793i	−0.825800	+	0.563963i	$0.809276\pi$
$728$	−14.6356	+	11.0515i	−0.542432	+	0.409595i
$729$	−14.7269	−	22.6301i	−0.545439	−	0.838150i
$730$	−1.34426	+	1.34426i	−0.0497533	+	0.0497533i
$731$	41.0387	+	23.6937i	1.51787	+	0.876343i
$732$	−0.778951	−	0.130224i	−0.0287908	−	0.00481323i
$733$	7.22575	+	26.9669i	0.266889	+	0.996044i	0.961084	+	0.276257i	$0.0890940\pi$
$733$	7.22575	+	26.9669i	0.266889	+	0.996044i	−0.694195	+	0.719787i	$0.744239\pi$
$734$	2.65495	−	0.711392i	0.0979961	−	0.0262580i
$735$	−5.51404	+	4.85992i	−0.203388	+	0.179261i
$736$	13.2960	+	13.2960i	0.490096	+	0.490096i
$737$	9.21052	−	5.31769i	0.339274	−	0.195880i
$738$	−1.93836	−	2.22839i	−0.0713519	−	0.0820282i
$739$	−23.6170	+	6.32816i	−0.868766	+	0.232785i	−0.665554	−	0.746349i	$-0.731805\pi$
$739$	−23.6170	+	6.32816i	−0.868766	+	0.232785i	−0.203212	+	0.979135i	$0.565138\pi$
$740$	4.67716	−	8.10107i	0.171936	−	0.297801i
$741$	0.0650555	−	0.691354i	0.00238987	−	0.0253975i
$742$	−10.5190	+	3.40596i	−0.386165	+	0.125037i
$743$	−7.17477	+	26.7766i	−0.263217	+	0.982339i	0.700116	+	0.714029i	$0.253132\pi$
$743$	−7.17477	+	26.7766i	−0.263217	+	0.982339i	−0.963333	+	0.268310i	$0.913535\pi$
$744$	8.21634	+	1.37360i	0.301225	+	0.0503586i
$745$			9.14433i			0.335022i
$746$	−0.102636	+	0.383044i	−0.00375779	+	0.0140242i
$747$	1.17388	−	1.74155i	0.0429502	−	0.0637199i
$748$	31.8693	−	8.53935i	1.16526	−	0.312230i
$749$	12.8585	+	19.8447i	0.469838	+	0.725108i
$750$	4.01756	+	3.31075i	0.146701	+	0.120891i
$751$			35.7595i			1.30488i	0.757840	+	0.652441i	$0.226255\pi$
$751$			35.7595i			1.30488i	−0.757840	+	0.652441i	$0.773745\pi$
$752$	3.47532	+	12.9701i	0.126732	+	0.472970i
$753$	4.09264	−	1.53092i	0.149144	−	0.0557897i
$754$	7.27848	+	10.7441i	0.265067	+	0.391277i
$755$		−	1.56021i		−	0.0567818i
$756$	23.7807	−	1.85856i	0.864896	−	0.0675951i
$757$	−7.43699	−	12.8812i	−0.270302	−	0.468177i	0.698637	−	0.715476i	$-0.253790\pi$
$757$	−7.43699	−	12.8812i	−0.270302	−	0.468177i	−0.968939	+	0.247299i	$0.920457\pi$
$758$	−1.45209	−	2.51509i	−0.0527422	−	0.0913521i
$759$	7.51895	−	16.5058i	0.272920	−	0.599122i
$760$	−0.0916359	+	0.0916359i	−0.00332398	+	0.00332398i
$761$	−26.7361	−	7.16393i	−0.969184	−	0.259692i	−0.260701	−	0.965420i	$-0.583954\pi$
$761$	−26.7361	−	7.16393i	−0.969184	−	0.259692i	−0.708483	+	0.705727i	$0.750620\pi$
$762$	−2.66180	−	3.73045i	−0.0964267	−	0.135140i
$763$	44.9143	−	14.5428i	1.62601	−	0.526486i
$764$	4.19021	+	7.25765i	0.151596	+	0.262573i
$765$	−5.31842	−	10.8956i	−0.192288	−	0.393931i
$766$	−14.4895	+	8.36552i	−0.523527	+	0.302259i
$767$	−18.0758	+	1.30053i	−0.652681	+	0.0469594i
$768$	−1.65567	−	1.36439i	−0.0597440	−	0.0492332i
$769$	−43.1033	−	11.5495i	−1.55434	−	0.416485i	−0.623476	−	0.781842i	$-0.714280\pi$
$769$	−43.1033	−	11.5495i	−1.55434	−	0.416485i	−0.930867	+	0.365357i	$0.880947\pi$
$770$	−0.725391	−	2.24031i	−0.0261413	−	0.0807351i
$771$	14.4435	+	11.9025i	0.520171	+	0.428657i
$772$	3.21087	+	11.9831i	0.115562	+	0.431283i
$773$	34.2448	+	34.2448i	1.23170	+	1.23170i	0.963310	+	0.268390i	$0.0864917\pi$
$773$	34.2448	+	34.2448i	1.23170	+	1.23170i	0.268390	+	0.963310i	$0.413508\pi$
$774$	−9.86372	+	4.81474i	−0.354544	+	0.173062i
$775$	−11.1943	+	2.99950i	−0.402110	+	0.107745i
$776$	13.6664	+	7.89029i	0.490594	+	0.283245i
$777$	−25.3426	−	31.9165i	−0.909161	−	1.14500i
$778$	−2.43490	+	9.08718i	−0.0872954	+	0.325791i
$779$	−0.106340	+	0.184186i	−0.00381001	+	0.00659914i
$780$	5.97136	−	2.73697i	0.213809	−	0.0979994i
$781$	−21.7087	−	37.6006i	−0.776798	−	1.34545i
$782$	−8.90778	−	8.90778i	−0.318541	−	0.318541i
$783$	−0.968478	−	36.3224i	−0.0346106	−	1.29806i
$784$	−7.09503	+	15.8485i	−0.253394	+	0.566017i
$785$	−8.90229	−	8.90229i	−0.317736	−	0.317736i
$786$	5.04386	−	11.0724i	0.179908	−	0.394939i
$787$	−12.9333	−	12.9333i	−0.461024	−	0.461024i	0.437967	−	0.898991i	$-0.355699\pi$
$787$	−12.9333	−	12.9333i	−0.461024	−	0.461024i	−0.898991	+	0.437967i	$0.855699\pi$
$788$	−2.01450	−	0.539784i	−0.0717637	−	0.0192290i
$789$	−6.08006	−	16.2540i	−0.216456	−	0.578657i
$790$	−1.16638	+	0.673411i	−0.0414980	+	0.0239589i
$791$	37.4488	−	1.92426i	1.33153	−	0.0684187i
$792$	−5.35102	+	15.5566i	−0.190140	+	0.552778i
$793$	−0.178925	+	0.930477i	−0.00635381	+	0.0330422i
$794$	9.09020	−	5.24823i	0.322599	−	0.186253i
$795$	8.48576	−	0.818448i	0.300959	−	0.0290274i
$796$	−46.3467			−1.64271
$797$	−4.47986	+	7.75935i	−0.158685	+	0.274850i	−0.934395	−	0.356240i	$-0.884059\pi$
$797$	−4.47986	+	7.75935i	−0.158685	+	0.274850i	0.775710	+	0.631090i	$0.217392\pi$
$798$	0.104375	+	0.240613i	0.00369484	+	0.00851763i
$799$	−9.33993	−	34.8571i	−0.330423	−	1.23316i
$800$	22.9182	+	6.14092i	0.810282	+	0.217114i
$801$	19.6655	+	13.2555i	0.694848	+	0.468359i
$802$	2.28425			0.0806598
$803$	17.3783			0.613267
$804$	−10.1971	−	4.64512i	−0.359624	−	0.163821i
$805$	3.94455	−	4.37187i	0.139027	−	0.154088i
$806$	0.876711	−	4.55924i	0.0308808	−	0.160592i
$807$	−6.64247	+	8.06058i	−0.233826	+	0.283746i
$808$	8.68919	+	32.4285i	0.305685	+	1.14083i
$809$	−18.9188	−	10.9228i	−0.665149	−	0.384024i	0.129087	−	0.991633i	$-0.458795\pi$
$809$	−18.9188	−	10.9228i	−0.665149	−	0.384024i	−0.794236	+	0.607609i	$0.792129\pi$
$810$	2.78121	+	0.389070i	0.0977218	+	0.0136705i
$811$	−28.5914	+	28.5914i	−1.00398	+	1.00398i	−0.00398835	+	0.999992i	$0.501270\pi$
$811$	−28.5914	+	28.5914i	−1.00398	+	1.00398i	−0.999992	+	0.00398835i	$0.998730\pi$
$812$	28.5869	+	14.6026i	1.00320	+	0.512450i
$813$	1.79625	+	18.6237i	0.0629971	+	0.653161i
$814$	12.6120	−	3.37937i	0.442049	−	0.118447i
$815$			5.19336i			0.181915i
$816$	−22.1046	−	18.2157i	−0.773817	−	0.637679i
$817$	0.558890	+	0.558890i	0.0195531	+	0.0195531i
$818$	−0.401405			−0.0140348
$819$	−1.53515	−	28.5770i	−0.0536423	−	0.998560i
$820$	−2.01183			−0.0702562
$821$	−13.1021	−	13.1021i	−0.457266	−	0.457266i	0.440491	−	0.897757i	$-0.354804\pi$
$821$	−13.1021	−	13.1021i	−0.457266	−	0.457266i	−0.897757	+	0.440491i	$0.854804\pi$
$822$	11.7470	+	9.68035i	0.409724	+	0.337641i
$823$		−	29.4738i		−	1.02739i	−0.857972	−	0.513697i	$-0.828276\pi$
$823$		−	29.4738i		−	1.02739i	0.857972	−	0.513697i	$-0.171724\pi$
$824$	8.99574	−	2.41040i	0.313381	−	0.0839703i
$825$	−2.19722	−	22.7810i	−0.0764974	−	0.793133i
$826$	5.74439	−	3.72211i	0.199873	−	0.129509i
$827$	−12.5753	+	12.5753i	−0.437285	+	0.437285i	−0.891097	−	0.453812i	$-0.850064\pi$
$827$	−12.5753	+	12.5753i	−0.437285	+	0.437285i	0.453812	+	0.891097i	$0.350064\pi$
$828$	−18.7573	+	3.65224i	−0.651861	+	0.126924i
$829$	−7.94084	−	4.58464i	−0.275797	−	0.159231i	0.355722	−	0.934592i	$-0.384235\pi$
$829$	−7.94084	−	4.58464i	−0.275797	−	0.159231i	−0.631519	+	0.775360i	$0.717568\pi$
$830$	0.0565384	+	0.211004i	0.00196248	+	0.00732406i
$831$	−2.24827	+	2.72825i	−0.0779915	+	0.0946419i
$832$	5.48675	−	6.33748i	0.190219	−	0.219713i
$833$	19.0679	−	42.5928i	0.660663	−	1.47575i
$834$	4.27417	+	1.94703i	0.148002	+	0.0674201i
$835$	−7.96534			−0.275652
$836$	0.550309			0.0190329
$837$	−8.94361	+	9.43361i	−0.309136	+	0.326073i
$838$	15.9325	+	4.26910i	0.550379	+	0.147474i
$839$	−5.18013	−	19.3325i	−0.178838	−	0.667433i	−0.995866	−	0.0908347i	$-0.971047\pi$
$839$	−5.18013	−	19.3325i	−0.178838	−	0.667433i	0.817028	−	0.576598i	$-0.195620\pi$
$840$	−3.18054	+	4.29051i	−0.109739	+	0.148037i
$841$	9.94922	−	17.2326i	0.343077	−	0.594226i
$842$	−7.42263			−0.255801
$843$	15.3547	−	1.48096i	0.528845	−	0.0510068i
$844$	13.9803	−	8.07151i	0.481220	−	0.277833i
$845$	−3.10847	−	7.24196i	−0.106935	−	0.249131i
$846$	7.90405	+	2.71877i	0.271747	+	0.0934733i
$847$	3.44685	−	6.74777i	0.118435	−	0.231856i
$848$	17.4419	−	10.0701i	0.598959	−	0.345809i
$849$	0.222048	+	0.593607i	0.00762067	+	0.0203725i
$850$	−15.3543	−	4.11417i	−0.526648	−	0.141115i
$851$	23.0866	+	23.0866i	0.791400	+	0.791400i
$852$	−18.9630	+	41.6281i	−0.649662	+	1.42616i
$853$	29.8922	+	29.8922i	1.02349	+	1.02349i	0.999717	+	0.0237708i	$0.00756719\pi$
$853$	29.8922	+	29.8922i	1.02349	+	1.02349i	0.0237708	+	0.999717i	$0.492433\pi$
$854$	−0.110243	−	0.340475i	−0.00377243	−	0.0116508i
$855$	−0.0386496	−	0.198498i	−0.00132179	−	0.00678848i
$856$	12.1497	+	12.1497i	0.415269	+	0.415269i
$857$	1.37388	+	2.37964i	0.0469310	+	0.0812868i	0.888537	−	0.458806i	$-0.151723\pi$
$857$	1.37388	+	2.37964i	0.0469310	+	0.0812868i	−0.841606	+	0.540092i	$0.818389\pi$
$858$	8.59503	+	3.19230i	0.293429	+	0.108983i
$859$	−15.8832	+	27.5105i	−0.541927	+	0.938645i	0.456867	+	0.889535i	$0.348972\pi$
$859$	−15.8832	+	27.5105i	−0.541927	+	0.938645i	−0.998793	+	0.0491095i	$0.984362\pi$
$860$	−1.93510	+	7.22190i	−0.0659865	+	0.246265i
$861$	−3.21942	+	8.15235i	−0.109718	+	0.277831i
$862$	11.6536	+	6.72821i	0.396923	+	0.229164i
$863$	38.4369	−	10.2991i	1.30841	−	0.350587i	0.463784	−	0.885948i	$-0.346491\pi$
$863$	38.4369	−	10.2991i	1.30841	−	0.350587i	0.844623	+	0.535361i	$0.179825\pi$
$864$	25.5141	−	7.57086i	0.868007	−	0.257566i
$865$	−6.23729	−	6.23729i	−0.212074	−	0.212074i
$866$	3.53343	+	13.1870i	0.120071	+	0.448111i
$867$	36.6828	+	30.2292i	1.24581	+	1.02664i
$868$	−3.53767	−	10.9258i	−0.120076	−	0.370845i
$869$	11.8922	+	3.18650i	0.403415	+	0.108095i
$870$	2.91656	+	2.40345i	0.0988807	+	0.0814845i
$871$	−5.86898	+	12.0949i	−0.198863	+	0.409820i
$872$	29.7086	−	17.1523i	1.00606	−	0.580849i
$873$	−22.1295	+	10.8020i	−0.748969	+	0.365591i
$874$	−0.105059	−	0.181967i	−0.00355367	−	0.00615513i
$875$	3.22761	−	15.1088i	0.109113	−	0.510771i
$876$	−10.6347	−	14.9043i	−0.359314	−	0.503571i
$877$	23.0696	+	6.18148i	0.779005	+	0.208734i	0.626346	−	0.779545i	$-0.284550\pi$
$877$	23.0696	+	6.18148i	0.779005	+	0.208734i	0.152659	+	0.988279i	$0.451216\pi$
$878$	5.65562	−	5.65562i	0.190868	−	0.190868i
$879$	6.28811	−	13.8038i	0.212093	−	0.465591i
$880$	2.14470	+	3.71473i	0.0722978	+	0.125223i
$881$	13.5050	+	23.3913i	0.454994	+	0.788072i	0.998688	−	0.0512112i	$-0.0163082\pi$
$881$	13.5050	+	23.3913i	0.454994	+	0.788072i	−0.543694	+	0.839283i	$0.682975\pi$
$882$	5.71210	+	9.17645i	0.192336	+	0.308987i
$883$		−	18.8520i		−	0.634419i	−0.948355	−	0.317209i	$-0.897254\pi$
$883$		−	18.8520i		−	0.634419i	0.948355	−	0.317209i	$-0.102746\pi$
$884$	−27.2978	+	31.5304i	−0.918125	+	1.06048i
$885$	−4.94314	+	1.84906i	−0.166162	+	0.0621555i
$886$	−2.90674	−	10.8481i	−0.0976537	−	0.364449i
$887$		−	5.31448i		−	0.178443i	−0.996012	−	0.0892214i	$-0.971562\pi$
$887$		−	5.31448i		−	0.178443i	0.996012	−	0.0892214i	$-0.0284379\pi$
$888$	−22.8535	−	18.8329i	−0.766914	−	0.631990i
$889$	−6.18673	+	12.1115i	−0.207496	+	0.406208i
$890$	−2.38266	+	0.638431i	−0.0798668	+	0.0214002i
$891$	−15.4625	−	20.4923i	−0.518014	−	0.686519i
$892$	5.78573	−	21.5926i	0.193721	−	0.722975i
$893$		−	0.601902i		−	0.0201419i
$894$	13.2636	+	2.21740i	0.443602	+	0.0741609i
$895$	0.995169	−	3.71402i	0.0332648	−	0.124146i
$896$	−6.32333	+	29.6002i	−0.211248	+	0.988874i
$897$	3.83310	+	22.6042i	0.127984	+	0.754732i
$898$	−2.40740	+	4.16974i	−0.0803359	+	0.139146i
$899$	−16.8977	+	4.52773i	−0.563571	+	0.151008i
$900$	−18.1933	+	15.8254i	−0.606444	+	0.527513i
$901$	−46.8752	+	27.0634i	−1.56164	+	0.901613i
$902$	−1.98566	−	1.98566i	−0.0661151	−	0.0661151i
$903$	26.1680	+	19.3982i	0.870815	+	0.645533i
$904$	26.3192	−	7.05220i	0.875362	−	0.234553i
$905$	2.31638	+	8.64483i	0.0769990	+	0.287364i
$906$	−2.26304	−	0.378333i	−0.0751845	−	0.0125693i
$907$	−13.0017	−	7.50654i	−0.431714	−	0.249250i	0.268362	−	0.963318i	$-0.413518\pi$
$907$	−13.0017	−	7.50654i	−0.431714	−	0.249250i	−0.700077	+	0.714068i	$0.746851\pi$
$908$	−28.5323	+	28.5323i	−0.946879	+	0.946879i
$909$	−49.5400	−	17.0404i	−1.64314	−	0.565193i
$910$	2.34741	+	1.83026i	0.0778158	+	0.0606724i
$911$		−	0.342003i		−	0.0113311i	−0.999984	−	0.00566553i	$-0.998197\pi$
$911$		−	0.342003i		−	0.0113311i	0.999984	−	0.00566553i	$-0.00180340\pi$
$912$	−0.277491	−	0.388898i	−0.00918866	−	0.0128777i
$913$	0.998448	−	1.72936i	0.0330438	−	0.0572335i
$914$	−12.9549			−0.428509
$915$	0.0264912	+	0.274664i	0.000875771	+	0.00908010i
$916$	5.77904	+	21.5677i	0.190945	+	0.712616i
$917$	−36.0608	+	1.85293i	−1.19083	+	0.0611893i
$918$	−17.0934	+	5.07217i	−0.564167	+	0.167407i
$919$	7.86592	+	13.6242i	0.259473	+	0.449420i	0.966101	−	0.258165i	$-0.0831179\pi$
$919$	7.86592	+	13.6242i	0.259473	+	0.449420i	−0.706628	+	0.707585i	$0.749785\pi$
$920$	2.13935	−	3.70546i	0.0705322	−	0.122165i
$921$	−5.10903	−	52.9711i	−0.168348	−	1.74546i
$922$	2.90827	+	1.67909i	0.0957788	+	0.0552979i
$923$	49.3756	+	23.9592i	1.62522	+	0.788628i
$924$	22.4333	−	3.33290i	0.738002	−	0.109645i
$925$	39.7944	+	10.6629i	1.30843	+	0.350593i
$926$			19.5399i			0.642120i
$927$	−4.72703	+	13.7425i	−0.155256	+	0.451363i
$928$	34.5950	+	9.26971i	1.13564	+	0.304293i
$929$	6.70001	−	25.0048i	0.219820	−	0.820380i	−0.764594	−	0.644513i	$-0.777060\pi$
$929$	6.70001	−	25.0048i	0.219820	−	0.820380i	0.984414	−	0.175867i	$-0.0562730\pi$
$930$	−0.129804	−	1.34582i	−0.00425643	−	0.0441312i
$931$	0.491072	−	0.603897i	0.0160942	−	0.0197919i
$932$	−31.7704	−	18.3426i	−1.04067	−	0.600833i
$933$	1.95757	−	11.7094i	0.0640879	−	0.383349i
$934$	−8.09370	+	2.16870i	−0.264834	+	0.0709620i
$935$	−5.76388	−	9.98333i	−0.188499	−	0.326490i
$936$	−5.42892	−	20.0738i	−0.177450	−	0.656134i
$937$	46.5926			1.52211			0.761056	−	0.648686i	$-0.224681\pi$
$937$	46.5926			1.52211			0.761056	+	0.648686i	$0.224681\pi$
$938$	−0.260563	−	5.07095i	−0.00850770	−	0.165572i
$939$	−6.77755	+	2.53525i	−0.221177	+	0.0827347i
$940$	4.93086	−	2.84683i	0.160827	−	0.0928535i
$941$	4.10685	−	15.3270i	0.133880	−	0.499646i	−0.866120	−	0.499836i	$-0.833394\pi$
$941$	4.10685	−	15.3270i	0.133880	−	0.499646i	1.00000		0.000189905i	$6.04487e-5\pi$
$942$	−15.0713	+	10.7538i	−0.491048	+	0.350379i
$943$	1.81741	−	6.78265i	0.0591829	−	0.220873i
$944$	−8.81635	+	8.81635i	−0.286948	+	0.286948i
$945$	−2.77773	−	7.85766i	−0.0903596	−	0.255610i
$946$	−9.03786	+	5.21801i	−0.293846	+	0.169652i
$947$	5.05687	−	5.05687i	0.164326	−	0.164326i	−0.620154	−	0.784480i	$-0.712930\pi$
$947$	5.05687	−	5.05687i	0.164326	−	0.164326i	0.784480	+	0.620154i	$0.212930\pi$
$948$	−4.54461	−	12.1492i	−0.147602	−	0.394589i
$949$	−18.1867	+	12.3204i	−0.590365	+	0.399937i
$950$	−0.229612	−	0.132567i	−0.00744961	−	0.00430103i
$951$	42.0861	+	19.1717i	1.36474	+	0.621684i
$952$	7.08402	−	33.1611i	0.229594	−	1.07476i
$953$	−30.4836	+	52.7992i	−0.987461	+	1.71033i	−0.357017	+	0.934098i	$0.616206\pi$
$953$	−30.4836	+	52.7992i	−0.987461	+	1.71033i	−0.630444	+	0.776235i	$0.717127\pi$
$954$	0.870566	−	12.5068i	0.0281856	−	0.404924i
$955$	2.07046	−	2.07046i	0.0669985	−	0.0669985i
$956$	−21.7712	+	21.7712i	−0.704131	+	0.704131i
$957$	−3.31670	−	34.3879i	−0.107214	−	1.11160i
$958$	6.39079	−	11.0692i	0.206477	−	0.357629i
$959$	9.43726	−	44.1769i	0.304745	−	1.42655i
$960$	1.01199	−	2.22154i	0.0326618	−	0.0717000i
$961$	−21.4267	−	12.3707i	−0.691184	−	0.399055i
$962$	−10.8029	+	12.4779i	−0.348298	+	0.402302i
$963$	−26.3182	+	5.12443i	−0.848092	+	0.165132i
$964$	23.8017	−	23.8017i	0.766600	−	0.766600i
$965$	3.75382	−	2.16727i	0.120840	−	0.0697669i
$966$	−5.38478	−	6.78160i	−0.173253	−	0.218194i
$967$	0.435270	−	0.435270i	0.0139973	−	0.0139973i	−0.700073	−	0.714071i	$-0.746849\pi$
$967$	0.435270	−	0.435270i	0.0139973	−	0.0139973i	0.714071	+	0.700073i	$0.246849\pi$
$968$	1.42501	−	5.31822i	0.0458017	−	0.170934i
$969$	0.745758	+	1.04516i	0.0239572	+	0.0335754i
$970$	0.662907	−	2.47400i	0.0212847	−	0.0794355i
$971$	47.7344	−	27.5595i	1.53187	−	0.884425i	0.532593	−	0.846371i	$-0.321218\pi$
$971$	47.7344	−	27.5595i	1.53187	−	0.884425i	0.999276	−	0.0380537i	$-0.0121158\pi$
$972$	−8.11268	+	25.8017i	−0.260214	+	0.827589i
$973$	−0.715269	−	13.9202i	−0.0229305	−	0.446261i
$974$	2.41243			0.0772993
$975$	18.4501	+	22.2830i	0.590876	+	0.713628i
$976$	0.325945	+	0.564553i	0.0104332	+	0.0180709i
$977$	14.0514	−	3.76507i	0.449545	−	0.120455i	−0.0269414	−	0.999637i	$-0.508577\pi$
$977$	14.0514	−	3.76507i	0.449545	−	0.120455i	0.476487	+	0.879182i	$0.341910\pi$
$978$	7.53283	+	1.25933i	0.240873	+	0.0402690i
$979$	19.5279	+	11.2745i	0.624116	+	0.360333i
$980$	7.26985	+	1.16666i	0.232227	+	0.0372676i
$981$	−3.71716	+	53.4019i	−0.118680	+	1.70499i
$982$	1.78665	−	6.66786i	0.0570142	−	0.212780i
$983$	−12.3750	−	3.31588i	−0.394702	−	0.105760i	0.0560083	−	0.998430i	$-0.482163\pi$
$983$	−12.3750	−	3.31588i	−0.394702	−	0.105760i	−0.450711	+	0.892670i	$0.648829\pi$
$984$	−1.05019	+	6.28180i	−0.0334787	+	0.200256i
$985$			0.728685i			0.0232178i
$986$	−23.1773	−	6.21034i	−0.738116	−	0.197778i
$987$	−3.64537	−	24.5365i	−0.116033	−	0.781005i
$988$	−0.575909	+	0.390143i	−0.0183221	+	0.0124121i
$989$	−22.5997	−	13.0479i	−0.718628	−	0.414900i
$990$	2.66367	+	0.185410i	0.0846569	+	0.00589273i
$991$	−1.54673	+	2.67902i	−0.0491335	+	0.0851018i	−0.889546	−	0.456845i	$-0.848979\pi$
$991$	−1.54673	+	2.67902i	−0.0491335	+	0.0851018i	0.840413	+	0.541947i	$0.182313\pi$
$992$	−6.40663	−	11.0966i	−0.203411	−	0.352318i
$993$	−31.7807	−	44.5399i	−1.00853	−	1.41343i
$994$	−20.7014	+	1.06371i	−0.656608	+	0.0337389i
$995$	4.19113	+	15.6415i	0.132868	+	0.495869i
$996$	−2.09418	+	0.201982i	−0.0663565	+	0.00640006i
$997$	5.71875			0.181115			0.0905573	−	0.995891i	$-0.471135\pi$
$997$	5.71875			0.181115			0.0905573	+	0.995891i	$0.471135\pi$
$998$	−4.83091	+	8.36739i	−0.152920	+	0.264865i
$999$	44.3017	−	13.1458i	1.40164	−	0.415914i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bv.b.2.18	yes	128
3.2	odd	2	inner	273.2.bv.b.2.15	✓	128
7.4	even	3		273.2.bw.b.158.15	yes	128
13.7	odd	12		273.2.bw.b.254.18	yes	128
21.11	odd	6		273.2.bw.b.158.18	yes	128
39.20	even	12		273.2.bw.b.254.15	yes	128
91.46	odd	12	inner	273.2.bv.b.137.15	yes	128
273.137	even	12	inner	273.2.bv.b.137.18	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bv.b.2.15	✓	128	3.2	odd	2	inner
273.2.bv.b.2.18	yes	128	1.1	even	1	trivial
273.2.bv.b.137.15	yes	128	91.46	odd	12	inner
273.2.bv.b.137.18	yes	128	273.137	even	12	inner
273.2.bw.b.158.15	yes	128	7.4	even	3
273.2.bw.b.158.18	yes	128	21.11	odd	6
273.2.bw.b.254.15	yes	128	39.20	even	12
273.2.bw.b.254.18	yes	128	13.7	odd	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.363959 + 0.363959i) q^{2} +(1.33667 + 1.10151i) q^{3} -1.73507i q^{4} +(-0.585566 + 0.156902i) q^{5} +(0.0855890 + 0.887396i) q^{6} +(2.22038 - 1.43871i) q^{7} +(1.35941 - 1.35941i) q^{8} +(0.573364 + 2.94470i) q^{9} +O(q^{10})\)	\(q+(0.363959 + 0.363959i) q^{2} +(1.33667 + 1.10151i) q^{3} -1.73507i q^{4} +(-0.585566 + 0.156902i) q^{5} +(0.0855890 + 0.887396i) q^{6} +(2.22038 - 1.43871i) q^{7} +(1.35941 - 1.35941i) q^{8} +(0.573364 + 2.94470i) q^{9} +(-0.270228 - 0.156016i) q^{10} +(0.738252 + 2.75519i) q^{11} +(1.91119 - 2.31921i) q^{12} +(-2.72590 - 2.35998i) q^{13} +(1.33176 + 0.284497i) q^{14} +(-0.955537 - 0.435280i) q^{15} -2.48059 q^{16} +6.66659 q^{17} +(-0.863069 + 1.28043i) q^{18} +(0.107405 + 0.0287792i) q^{19} +(0.272236 + 1.01600i) q^{20} +(4.55267 + 0.522689i) q^{21} +(-0.734084 + 1.27147i) q^{22} -3.67124 q^{23} +(3.31448 - 0.319681i) q^{24} +(-4.01186 + 2.31625i) q^{25} +(-0.133180 - 1.85105i) q^{26} +(-2.47721 + 4.56765i) q^{27} +(-2.49626 - 3.85252i) q^{28} +(-6.05589 + 3.49637i) q^{29} +(-0.189352 - 0.506200i) q^{30} +(2.41647 + 0.647491i) q^{31} +(-3.62166 - 3.62166i) q^{32} +(-2.04807 + 4.49597i) q^{33} +(2.42637 + 2.42637i) q^{34} +(-1.07445 + 1.19084i) q^{35} +(5.10925 - 0.994825i) q^{36} +(-6.28852 - 6.28852i) q^{37} +(0.0286167 + 0.0495656i) q^{38} +(-1.04409 - 6.15710i) q^{39} +(-0.582731 + 1.00932i) q^{40} +(-0.495039 + 1.84751i) q^{41} +(1.46675 + 1.84722i) q^{42} +(6.15587 + 3.55410i) q^{43} +(4.78045 - 1.28092i) q^{44} +(-0.797772 - 1.63435i) q^{45} +(-1.33618 - 1.33618i) q^{46} +(-1.40100 - 5.22862i) q^{47} +(-3.31573 - 2.73239i) q^{48} +(2.86021 - 6.38899i) q^{49} +(-2.30317 - 0.617133i) q^{50} +(8.91102 + 7.34330i) q^{51} +(-4.09472 + 4.72962i) q^{52} +(-7.03136 + 4.05956i) q^{53} +(-2.56404 + 0.760835i) q^{54} +(-0.864591 - 1.49752i) q^{55} +(1.06261 - 4.97422i) q^{56} +(0.111865 + 0.156776i) q^{57} +(-3.47663 - 0.931561i) q^{58} +(3.55413 - 3.55413i) q^{59} +(-0.755240 + 1.65792i) q^{60} +(-0.131398 - 0.227588i) q^{61} +(0.643835 + 1.11516i) q^{62} +(5.50966 + 5.71346i) q^{63} +2.32492i q^{64} +(1.96648 + 0.954224i) q^{65} +(-2.38176 + 0.890936i) q^{66} +(-0.965031 - 3.60154i) q^{67} -11.5670i q^{68} +(-4.90723 - 4.04390i) q^{69} +(-0.824473 + 0.0423644i) q^{70} +(-14.7028 + 3.93959i) q^{71} +(4.78250 + 3.22362i) q^{72} +(1.57687 - 5.88495i) q^{73} -4.57753i q^{74} +(-7.91388 - 1.32304i) q^{75} +(0.0499338 - 0.186356i) q^{76} +(5.60313 + 5.05546i) q^{77} +(1.86093 - 2.62094i) q^{78} +(2.15814 - 3.73801i) q^{79} +(1.45255 - 0.389210i) q^{80} +(-8.34251 + 3.37677i) q^{81} +(-0.852592 + 0.492244i) q^{82} +(-0.495031 - 0.495031i) q^{83} +(0.906900 - 7.89919i) q^{84} +(-3.90373 + 1.04600i) q^{85} +(0.946941 + 3.53403i) q^{86} +(-11.9460 - 1.99712i) q^{87} +(4.74903 + 2.74185i) q^{88} +(5.58988 - 5.58988i) q^{89} +(0.304482 - 0.885195i) q^{90} +(-9.44787 - 1.31827i) q^{91} +6.36985i q^{92} +(2.51680 + 3.52724i) q^{93} +(1.39310 - 2.41291i) q^{94} -0.0674085 q^{95} +(-0.851673 - 8.83024i) q^{96} +(2.12448 + 7.92867i) q^{97} +(3.36633 - 1.28433i) q^{98} +(-7.68993 + 3.75366i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

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