LMFDB - Embedded newform 273.2.bv.b.2.15

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			2.15
Character	$\chi$	$=$	273.2
Dual form			273.2.bv.b.137.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.363959 - 0.363959i) q^{2} +(-1.62227 - 0.606835i) q^{3} -1.73507i q^{4} +(0.585566 - 0.156902i) q^{5} +(0.369576 + 0.811302i) q^{6} +(2.22038 - 1.43871i) q^{7} +(-1.35941 + 1.35941i) q^{8} +(2.26350 + 1.96890i) q^{9} +O(q^{10})$	\(q+(-0.363959 - 0.363959i) q^{2} +(-1.62227 - 0.606835i) q^{3} -1.73507i q^{4} +(0.585566 - 0.156902i) q^{5} +(0.369576 + 0.811302i) q^{6} +(2.22038 - 1.43871i) q^{7} +(-1.35941 + 1.35941i) q^{8} +(2.26350 + 1.96890i) q^{9} +(-0.270228 - 0.156016i) q^{10} +(-0.738252 - 2.75519i) q^{11} +(-1.05290 + 2.81474i) q^{12} +(-2.72590 - 2.35998i) q^{13} +(-1.33176 - 0.284497i) q^{14} +(-1.04516 - 0.100805i) q^{15} -2.48059 q^{16} -6.66659 q^{17} +(-0.107224 - 1.54042i) q^{18} +(0.107405 + 0.0287792i) q^{19} +(-0.272236 - 1.01600i) q^{20} +(-4.47512 + 0.986569i) q^{21} +(-0.734084 + 1.27147i) q^{22} +3.67124 q^{23} +(3.03027 - 1.38039i) 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} +(0.343706 + 0.417084i) q^{30} +(2.41647 + 0.647491i) q^{31} +(3.62166 + 3.62166i) q^{32} +(-0.474306 + 4.91766i) q^{33} +(2.42637 + 2.42637i) q^{34} +(1.07445 - 1.19084i) q^{35} +(3.41617 - 3.92733i) q^{36} +(-6.28852 - 6.28852i) q^{37} +(-0.0286167 - 0.0495656i) q^{38} +(2.99002 + 5.48268i) q^{39} +(-0.582731 + 1.00932i) q^{40} +(0.495039 - 1.84751i) q^{41} +(1.98783 + 1.26969i) q^{42} +(6.15587 + 3.55410i) q^{43} +(-4.78045 + 1.28092i) q^{44} +(1.63435 + 0.797772i) q^{45} +(-1.33618 - 1.33618i) q^{46} +(1.40100 + 5.22862i) q^{47} +(4.02419 + 1.50531i) q^{48} +(2.86021 - 6.38899i) q^{49} +(2.30317 + 0.617133i) q^{50} +(10.8150 + 4.04552i) q^{51} +(-4.09472 + 4.72962i) q^{52} +(7.03136 - 4.05956i) q^{53} +(-0.760835 + 2.56404i) q^{54} +(-0.864591 - 1.49752i) q^{55} +(-1.06261 + 4.97422i) q^{56} +(-0.156776 - 0.111865i) q^{57} +(-3.47663 - 0.931561i) q^{58} +(-3.55413 + 3.55413i) q^{59} +(-0.174904 + 1.81342i) q^{60} +(-0.131398 - 0.227588i) q^{61} +(-0.643835 - 1.11516i) q^{62} +(7.85852 + 1.11518i) q^{63} +2.32492i q^{64} +(-1.96648 - 0.954224i) q^{65} +(1.96245 - 1.61720i) q^{66} +(-0.965031 - 3.60154i) q^{67} +11.5670i q^{68} +(-5.95573 - 2.22784i) q^{69} +(-0.824473 + 0.0423644i) q^{70} +(14.7028 - 3.93959i) q^{71} +(-5.75357 + 0.400490i) 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} +(0.907228 - 3.08372i) q^{78} +(2.15814 - 3.73801i) q^{79} +(-1.45255 + 0.389210i) q^{80} +(1.24689 + 8.91321i) q^{81} +(-0.852592 + 0.492244i) q^{82} +(0.495031 + 0.495031i) q^{83} +(1.71176 + 7.76463i) 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} +(-3.52724 - 2.51680i) q^{93} +(1.39310 - 2.41291i) q^{94} +0.0674085 q^{95} +(-3.67755 - 8.07305i) q^{96} +(2.12448 + 7.92867i) q^{97} +(-3.36633 + 1.28433i) q^{98} +(3.75366 - 7.68993i) 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	0.566621	−	0.823979i	$-0.308250\pi$
$2$	−0.363959	−	0.363959i	−0.257358	−	0.257358i	−0.823979	+	0.566621i	$0.808250\pi$
$3$	−1.62227	−	0.606835i	−0.936616	−	0.350356i
$3$	−1.62227	−	0.606835i	−0.936616	−	0.350356i
$4$		−	1.73507i		−	0.867534i
$5$	0.585566	−	0.156902i	0.261873	−	0.0701687i	−0.125493	−	0.992094i	$-0.540051\pi$
$5$	0.585566	−	0.156902i	0.261873	−	0.0701687i	0.387367	+	0.921926i	$0.373385\pi$
$6$	0.369576	+	0.811302i	0.150879	+	0.331213i
$7$	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
$9$	2.26350	+	1.96890i	0.754501	+	0.656299i
$10$	−0.270228	−	0.156016i	−0.0854537	−	0.0493367i
$11$	−0.738252	−	2.75519i	−0.222591	−	0.830722i	−0.983355	−	0.181693i	$-0.941842\pi$
$11$	−0.738252	−	2.75519i	−0.222591	−	0.830722i	0.760764	−	0.649029i	$-0.224825\pi$
$12$	−1.05290	+	2.81474i	−0.303946	+	0.812546i
$13$	−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
$15$	−1.04516	−	0.100805i	−0.269859	−	0.0260278i
$16$	−2.48059			−0.620149
$17$	−6.66659			−1.61689			−0.808443	−	0.588574i	$-0.799689\pi$
$17$	−6.66659			−1.61689			−0.808443	+	0.588574i	$0.799689\pi$
$18$	−0.107224	−	1.54042i	−0.0252730	−	0.363081i
$19$	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
$21$	−4.47512	+	0.986569i	−0.976551	+	0.215287i
$22$	−0.734084	+	1.27147i	−0.156507	+	0.271079i
$23$	3.67124			0.765506			0.382753	−	0.923851i	$-0.374976\pi$
$23$	3.67124			0.765506			0.382753	+	0.923851i	$0.374976\pi$
$24$	3.03027	−	1.38039i	0.618551	−	0.281771i
$25$	−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	0.181992	−	0.983300i	$-0.441745\pi$
$29$	6.05589	−	3.49637i	1.12455	−	0.649260i	0.942559	+	0.334040i	$0.108412\pi$
$30$	0.343706	+	0.417084i	0.0627519	+	0.0761488i
$31$	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
$33$	−0.474306	+	4.91766i	−0.0825661	+	0.856054i
$34$	2.42637	+	2.42637i	0.416119	+	0.416119i
$35$	1.07445	−	1.19084i	0.181614	−	0.201289i
$36$	3.41617	−	3.92733i	0.569362	−	0.654555i
$37$	−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
$39$	2.99002	+	5.48268i	0.478786	+	0.877932i
$40$	−0.582731	+	1.00932i	−0.0921379	+	0.159588i
$41$	0.495039	−	1.84751i	0.0773121	−	0.288533i	−0.916436	−	0.400182i	$-0.868947\pi$
$41$	0.495039	−	1.84751i	0.0773121	−	0.288533i	0.993748	+	0.111650i	$0.0356135\pi$
$42$	1.98783	+	1.26969i	0.306729	+	0.195917i
$43$	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
$45$	1.63435	+	0.797772i	0.243635	+	0.118925i
$46$	−1.33618	−	1.33618i	−0.197009	−	0.197009i
$47$	1.40100	+	5.22862i	0.204358	+	0.762673i	0.989644	+	0.143541i	$0.0458488\pi$
$47$	1.40100	+	5.22862i	0.204358	+	0.762673i	−0.785287	+	0.619132i	$0.787485\pi$
$48$	4.02419	+	1.50531i	0.580841	+	0.217273i
$49$	2.86021	−	6.38899i	0.408602	−	0.912713i
$50$	2.30317	+	0.617133i	0.325718	+	0.0872758i
$51$	10.8150	+	4.04552i	1.51440	+	0.566486i
$52$	−4.09472	+	4.72962i	−0.567835	+	0.655880i
$53$	7.03136	−	4.05956i	0.965831	−	0.557623i	0.0678683	−	0.997694i	$-0.478380\pi$
$53$	7.03136	−	4.05956i	0.965831	−	0.557623i	0.897963	+	0.440072i	$0.145047\pi$
$54$	−0.760835	+	2.56404i	−0.103536	+	0.348922i
$55$	−0.864591	−	1.49752i	−0.116581	−	0.201925i
$56$	−1.06261	+	4.97422i	−0.141998	+	0.664708i
$57$	−0.156776	−	0.111865i	−0.0207655	−	0.0148169i
$58$	−3.47663	−	0.931561i	−0.456504	−	0.122320i
$59$	−3.55413	+	3.55413i	−0.462708	+	0.462708i	−0.899542	−	0.436834i	$-0.856100\pi$
$59$	−3.55413	+	3.55413i	−0.462708	+	0.462708i	0.436834	+	0.899542i	$0.356100\pi$
$60$	−0.174904	+	1.81342i	−0.0225800	+	0.234112i
$61$	−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
$63$	7.85852	+	1.11518i	0.990081	+	0.140499i
$64$			2.32492i			0.290615i
$65$	−1.96648	−	0.954224i	−0.243912	−	0.118357i
$66$	1.96245	−	1.61720i	0.241561	−	0.199063i
$67$	−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
$69$	−5.95573	−	2.22784i	−0.716986	−	0.268200i
$70$	−0.824473	+	0.0423644i	−0.0985434	+	0.00506351i
$71$	14.7028	−	3.93959i	1.74490	−	0.467544i	0.761372	−	0.648315i	$-0.224526\pi$
$71$	14.7028	−	3.93959i	1.74490	−	0.467544i	0.983525	+	0.180772i	$0.0578595\pi$
$72$	−5.75357	+	0.400490i	−0.678065	+	0.0471982i
$73$	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
$78$	0.907228	−	3.08372i	0.102723	−	0.349162i
$79$	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
$81$	1.24689	+	8.91321i	0.138543	+	0.990356i
$82$	−0.852592	+	0.492244i	−0.0941530	+	0.0543593i
$83$	0.495031	+	0.495031i	0.0543367	+	0.0543367i	0.733753	−	0.679416i	$-0.237767\pi$
$83$	0.495031	+	0.495031i	0.0543367	+	0.0543367i	−0.679416	+	0.733753i	$0.737767\pi$
$84$	1.71176	+	7.76463i	0.186769	+	0.847191i
$85$	−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	−0.938313	−	0.345787i	$-0.887612\pi$
$89$	−5.58988	+	5.58988i	−0.592526	+	0.592526i	0.345787	+	0.938313i	$0.387612\pi$
$90$	−0.304482	−	0.885195i	−0.0320952	−	0.0933077i
$91$	−9.44787	−	1.31827i	−0.990405	−	0.138193i
$92$		−	6.36985i		−	0.664103i
$93$	−3.52724	−	2.51680i	−0.365757	−	0.260980i
$94$	1.39310	−	2.41291i	0.143687	−	0.248873i
$95$	0.0674085			0.00691597
$96$	−3.67755	−	8.07305i	−0.375338	−	0.823952i
$97$	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
$99$	3.75366	−	7.68993i	0.377257	−	0.772867i
$100$	4.01884	+	6.96084i	0.401884	+	0.696084i
$101$	8.73146	−	15.1233i	0.868813	−	1.50483i	0.00560258	−	0.999984i	$-0.498217\pi$
$101$	8.73146	−	15.1233i	0.868813	−	1.50483i	0.863211	−	0.504844i	$-0.168450\pi$
$102$	−2.46381	−	5.40862i	−0.243954	−	0.535533i
$103$	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
$105$	−2.46568	+	1.27986i	−0.240626	+	0.124901i
$106$	−4.03664	−	1.08161i	−0.392073	−	0.105056i
$107$		−	8.93749i		−	0.864019i	−0.901869	−	0.432010i	$-0.857805\pi$
$107$		−	8.93749i		−	0.864019i	0.901869	−	0.432010i	$-0.142195\pi$
$108$	−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
$111$	6.38556	+	14.0177i	0.606091	+	1.33051i
$112$	−5.50787	+	3.56886i	−0.520445	+	0.337226i
$113$	−12.2742	−	7.08650i	−1.15466	−	0.666642i	−0.204640	−	0.978837i	$-0.565602\pi$
$113$	−12.2742	−	7.08650i	−1.15466	−	0.666642i	−0.950018	+	0.312195i	$0.898936\pi$
$114$	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
$117$	−1.52353	−	10.7088i	−0.140850	−	0.990031i
$118$	2.58712			0.238163
$119$	−14.8024	+	9.59131i	−1.35693	+	0.879234i
$120$	1.55784	−	1.28377i	0.142210	−	0.117191i
$121$	2.48020	−	1.43195i	0.225473	−	0.130177i
$122$	−0.0350092	+	0.130656i	−0.00316959	+	0.0118291i
$123$	−1.92422	+	2.69675i	−0.173501	+	0.243158i
$124$	1.12344	−	4.19273i	0.100888	−	0.376519i
$125$	−4.12911	+	4.12911i	−0.369319	+	0.369319i
$126$	−2.45430	−	3.26606i	−0.218647	−	0.290964i
$127$	−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
$129$	−7.82972	−	9.50129i	−0.689369	−	0.836542i
$130$	0.368419	+	1.06302i	0.0323125	+	0.0932327i
$131$	11.8192	+	6.82385i	1.03265	+	0.596202i	0.917743	−	0.397174i	$-0.130009\pi$
$131$	11.8192	+	6.82385i	1.03265	+	0.596202i	0.114909	+	0.993376i	$0.463342\pi$
$132$	8.53247	+	0.822953i	0.742656	+	0.0716288i
$133$	0.279886	−	0.0906246i	0.0242692	−	0.00785815i
$134$	−0.959583	+	1.66205i	−0.0828954	+	0.143579i
$135$	−2.16724	−	2.28598i	−0.186527	−	0.196746i
$136$	9.06265	−	9.06265i	0.777116	−	0.777116i
$137$	−12.0732	+	12.0732i	−1.03148	+	1.03148i	−0.0319923	+	0.999488i	$0.510185\pi$
$137$	−12.0732	+	12.0732i	−1.03148	+	1.03148i	−0.999488	+	0.0319923i	$0.989815\pi$
$138$	1.35680	+	2.97848i	0.115499	+	0.253545i
$139$	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
$141$	0.900106	−	9.33240i	0.0758026	−	0.785930i
$142$	−6.78506	−	3.91735i	−0.569389	−	0.328737i
$143$	−4.48979	+	9.25263i	−0.375455	+	0.773744i
$144$	−5.61483	−	4.88403i	−0.467903	−	0.407003i
$145$	2.99754	−	2.99754i	0.248932	−	0.248932i
$146$	−2.71580	+	1.56796i	−0.224761	+	0.129766i
$147$	−8.51709	+	8.62897i	−0.702478	+	0.711705i
$148$	−10.9110	+	10.9110i	−0.896879	+	0.896879i
$149$	−3.90405	+	14.5701i	−0.319832	+	1.19363i	0.599573	+	0.800320i	$0.295337\pi$
$149$	−3.90405	+	14.5701i	−0.319832	+	1.19363i	−0.919405	+	0.393311i	$0.871330\pi$
$150$	−3.36186	−	2.39880i	−0.274495	−	0.195861i
$151$	−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
$153$	−15.0899	−	13.1258i	−1.21994	−	1.06116i
$154$	0.199332	+	3.87929i	0.0160626	+	0.312602i
$155$	1.51659			0.121816
$156$	9.51282	−	5.18788i	0.761635	−	0.415363i
$157$	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
$162$	2.79023	−	3.69786i	0.219221	−	0.290531i
$163$	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	−0.268174	−	0.963371i	$-0.586420\pi$
$167$	−12.6916	−	3.40070i	−0.982104	−	0.263154i	−0.713931	+	0.700217i	$0.753087\pi$
$168$	4.74238	−	7.42468i	0.365882	−	0.572827i
$169$	1.86103	+	12.8661i	0.143156	+	0.989700i
$170$	1.80150	+	1.04010i	0.138169	+	0.0797718i
$171$	0.186449	+	0.276612i	0.0142581	+	0.0211530i
$172$	6.16659	−	10.6809i	0.470198	−	0.814408i
$173$	−7.27526	−	12.6011i	−0.553128	−	0.958045i	−0.998047	−	0.0624742i	$-0.980101\pi$
$173$	−7.27526	−	12.6011i	−0.553128	−	0.958045i	0.444919	−	0.895571i	$-0.353232\pi$
$174$	5.07473	+	3.62098i	0.384714	+	0.274506i
$175$	−5.57545	+	10.9149i	−0.421465	+	0.825086i
$176$	1.83130	+	6.83452i	0.138040	+	0.515171i
$177$	7.92252	−	3.60898i	0.595493	−	0.271267i
$178$	4.06898			0.304983
$179$	3.17131	−	5.49286i	0.237035	−	0.410556i	−0.722827	−	0.691029i	$-0.757158\pi$
$179$	3.17131	−	5.49286i	0.237035	−	0.410556i	0.959862	+	0.280473i	$0.0904912\pi$
$180$	1.38419	−	2.83572i	0.103171	−	0.211362i
$181$		−	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
$189$	−12.0719	−	6.57795i	−0.878101	−	0.478475i
$190$	−0.0245339	−	0.0245339i	−0.00177988	−	0.00177988i
$191$	4.18292	−	2.41501i	0.302666	−	0.174744i	−0.340974	−	0.940073i	$-0.610757\pi$
$191$	4.18292	−	2.41501i	0.302666	−	0.174744i	0.643640	+	0.765329i	$0.277424\pi$
$192$	1.41084	−	3.77164i	0.101819	−	0.272194i
$193$	−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
$195$	2.61110	+	2.74133i	0.186985	+	0.196311i
$196$	−11.0853	−	4.96267i	−0.791809	−	0.354476i
$197$	−0.311103	+	1.16105i	−0.0221652	+	0.0827215i	−0.976122	−	0.217221i	$-0.930301\pi$
$197$	−0.311103	+	1.16105i	−0.0221652	+	0.0827215i	0.953957	+	0.299942i	$0.0969675\pi$
$198$	−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
$201$	−0.620005	+	6.42828i	−0.0437318	+	0.453416i
$202$	−8.68217	+	2.32638i	−0.610876	+	0.163684i
$203$	8.41614	−	16.4760i	0.590697	−	1.15639i
$204$	7.01925	−	18.7647i	0.491446	−	1.31380i
$205$		−	1.15951i		−	0.0809838i
$206$	−0.645343	−	2.40845i	−0.0449632	−	0.167805i
$207$	8.30986	+	7.22829i	0.577575	+	0.502401i
$208$	6.76184	+	5.85414i	0.468850	+	0.405912i
$209$		−	0.317169i		−	0.0219390i
$210$	1.36322	+	0.431593i	0.0940714	+	0.0297827i
$211$	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
$213$	−26.2425	−	2.53108i	−1.79811	−	0.173427i
$214$	−3.25288	+	3.25288i	−0.222362	+	0.222362i
$215$	4.16232	+	1.11529i	0.283868	+	0.0760621i
$216$	9.57687	+	2.84177i	0.651623	+	0.193358i
$217$	6.29704	−	2.03892i	0.427471	−	0.138411i
$218$	−4.59222	−	7.95397i	−0.311025	−	0.538711i
$219$	−6.12929	+	8.59006i	−0.414179	+	0.580462i
$220$	−2.59829	+	1.50012i	−0.175177	+	0.101138i
$221$	18.1724	+	15.7330i	1.22241	+	1.05832i
$222$	2.77780	−	7.42597i	0.186434	−	0.498399i
$223$	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
$225$	−13.6413	−	2.65610i	−0.909420	−	0.177074i
$226$	1.88810	+	7.04650i	0.125595	+	0.468726i
$227$	16.4445	+	16.4445i	1.09146	+	1.09146i	0.995373	+	0.0960878i	$0.0306330\pi$
$227$	16.4445	+	16.4445i	1.09146	+	1.09146i	0.0960878	+	0.995373i	$0.469367\pi$
$228$	−0.194093	+	0.272017i	−0.0128541	+	0.0180148i
$229$	−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
$231$	6.02195	+	11.6015i	0.396215	+	0.763321i
$232$	−3.47944	+	12.9855i	−0.228437	+	0.852537i
$233$	−10.5717	+	18.3107i	−0.692575	+	1.19958i	0.278416	+	0.960461i	$0.410191\pi$
$233$	−10.5717	+	18.3107i	−0.692575	+	1.19958i	−0.970991	+	0.239115i	$0.923143\pi$
$234$	−3.34307	+	4.45207i	−0.218544	+	0.291041i
$235$	1.64076	+	2.84188i	0.107032	+	0.185384i
$236$	6.16665	+	6.16665i	0.401415	+	0.401415i
$237$	−5.76944	+	4.75442i	−0.374765	+	0.308833i
$238$	8.87831	+	1.89662i	0.575496	+	0.122940i
$239$	12.5478	+	12.5478i	0.811647	+	0.811647i	0.984881	−	0.173234i	$-0.0554217\pi$
$239$	12.5478	+	12.5478i	0.811647	+	0.811647i	−0.173234	+	0.984881i	$0.555422\pi$
$240$	2.59261	+	0.250057i	0.167353	+	0.0161411i
$241$	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
$243$	3.38606	−	15.2163i	0.217216	−	0.976124i
$244$	−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
$249$	−0.502670	−	1.10347i	−0.0318554	−	0.0699298i
$250$	3.00565			0.190094
$251$	−1.26139	+	2.18480i	−0.0796185	+	0.137903i	−0.903085	−	0.429461i	$-0.858704\pi$
$251$	−1.26139	+	2.18480i	−0.0796185	+	0.137903i	0.823467	+	0.567364i	$0.192037\pi$
$252$	1.93491	−	13.6351i	0.121888	−	0.858928i
$253$	−2.71030	−	10.1150i	−0.170395	−	0.635923i
$254$	2.55568	+	0.684793i	0.160358	+	0.0429678i
$255$	6.96765	+	0.672027i	0.436331	+	0.0420839i
$256$	−1.23866			−0.0774161
$257$	−10.8056			−0.674036			−0.337018	−	0.941498i	$-0.609418\pi$
$257$	−10.8056			−0.674036			−0.337018	+	0.941498i	$0.609418\pi$
$258$	−0.608383	+	6.30778i	−0.0378763	+	0.392705i
$259$	−23.0103	−	4.91556i	−1.42979	−	0.305438i
$260$	−1.65564	+	3.41197i	−0.102679	+	0.211602i
$261$	20.5915	+	4.00938i	1.27458	+	0.248175i
$262$	−1.81812	−	6.78532i	−0.112324	−	0.419199i
$263$	8.67696	+	5.00965i	0.535045	+	0.308908i	0.743068	−	0.669216i	$-0.233370\pi$
$263$	8.67696	+	5.00965i	0.535045	+	0.308908i	−0.208024	+	0.978124i	$0.566703\pi$
$264$	−6.04035	−	7.32990i	−0.371758	−	0.451124i
$265$	3.48037	−	3.48037i	0.213798	−	0.213798i
$266$	−0.134851	−	0.0688835i	−0.00826823	−	0.00422352i
$267$	12.4604	−	5.67614i	0.762565	−	0.347374i
$268$	−6.24892	+	1.67439i	−0.381714	+	0.102280i
$269$		−	6.03035i		−	0.367677i	−0.982956	−	0.183838i	$-0.941148\pi$
$269$		−	6.03035i		−	0.367677i	0.982956	−	0.183838i	$-0.0588523\pi$
$270$	−0.0432158	+	1.62079i	−0.00263003	+	0.0986383i
$271$	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
$273$	14.5270	+	7.87189i	0.879213	+	0.476428i
$274$	8.78828			0.530919
$275$	9.34347	+	9.34347i	0.563432	+	0.563432i
$276$	−3.86545	+	10.3336i	−0.232673	+	0.622009i
$277$			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
$279$	4.19484	+	6.22337i	0.251138	+	0.372584i
$280$	0.158234	+	3.07946i	0.00945628	+	0.184033i
$281$	−6.29763	+	6.29763i	−0.375685	+	0.375685i	−0.869543	−	0.493858i	$-0.835586\pi$
$281$	−6.29763	+	6.29763i	−0.375685	+	0.375685i	0.493858	+	0.869543i	$0.335586\pi$
$282$	−3.72421	+	3.06901i	−0.221774	+	0.182757i
$283$	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
$285$	−0.109355	−	0.0409058i	−0.00647761	−	0.00242305i
$286$	5.00168	−	1.73348i	0.295756	−	0.102503i
$287$	−1.55886	−	4.81440i	−0.0920165	−	0.284185i
$288$	1.06696	+	15.3283i	0.0628713	+	0.903229i
$289$	27.4435			1.61432
$290$	−2.18196			−0.128129
$291$	1.36492	−	14.1516i	0.0800130	−	0.829584i
$292$	−10.2108	−	2.73597i	−0.597541	−	0.160111i
$293$	2.26663	+	8.45917i	0.132418	+	0.494190i	0.999995	−	0.00311235i	$-0.000990693\pi$
$293$	2.26663	+	8.45917i	0.132418	+	0.494190i	−0.867577	+	0.497302i	$0.834324\pi$
$294$	6.24047	−	0.0407178i	0.363951	−	0.00237471i
$295$	−1.52353	+	2.63883i	−0.0887032	+	0.153639i
$296$	17.0974			0.993764
$297$	−10.7560	+	10.1973i	−0.624124	+	0.591706i
$298$	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
$303$	−23.3421	+	19.2355i	−1.34097	+	1.10505i
$304$	−0.266429	−	0.0713895i	−0.0152808	−	0.00409447i
$305$	−0.112651	−	0.112651i	−0.00645039	−	0.00645039i
$306$	0.714821	+	10.2694i	0.0408636	+	0.587060i
$307$	−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
$309$	−5.33598	−	6.47516i	−0.303553	−	0.368359i
$310$	−0.551979	−	0.551979i	−0.0313503	−	0.0313503i
$311$	3.42712	+	5.93595i	0.194334	+	0.336597i	0.946682	−	0.322169i	$-0.104412\pi$
$311$	3.42712	+	5.93595i	0.194334	+	0.336597i	−0.752348	+	0.658766i	$0.771079\pi$
$312$	−11.5179	−	3.38856i	−0.652072	−	0.191839i
$313$	−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
$315$	4.77666	−	0.580006i	0.269134	−	0.0326797i
$316$	−6.48570	−	3.74452i	−0.364849	−	0.210646i
$317$	−25.7910	+	6.91067i	−1.44857	+	0.388142i	−0.895525	−	0.445012i	$-0.853200\pi$
$317$	−25.7910	+	6.91067i	−1.44857	+	0.388142i	−0.553041	+	0.833154i	$0.686533\pi$
$318$	5.89215	+	4.20424i	0.330415	+	0.235762i
$319$	−14.1040	−	14.1040i	−0.789670	−	0.789670i
$320$	0.364784	+	1.36139i	0.0203921	+	0.0761042i
$321$	−5.42358	+	14.4990i	−0.302715	+	0.809255i
$322$	−4.88922	−	1.04446i	−0.272465	−	0.0582052i
$323$	−0.716028	−	0.191859i	−0.0398409	−	0.0106753i
$324$	15.4650	−	2.16344i	0.859168	−	0.120191i
$325$	16.4022	+	3.15404i	0.909830	+	0.174954i
$326$	−3.81869	+	2.20472i	−0.211497	+	0.122108i
$327$	−25.1584	−	17.9513i	−1.39126	−	0.992711i
$328$	1.83857	+	3.18449i	0.101518	+	0.175834i
$329$	10.6333	+	9.59391i	0.586230	+	0.528929i
$330$	0.895406	−	1.25489i	0.0492905	−	0.0690794i
$331$	−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
$333$	−1.85263	−	26.6155i	−0.101524	−	1.45852i
$334$	3.38150	+	5.85693i	0.185028	+	0.320477i
$335$	−1.13018	−	1.95753i	−0.0617483	−	0.106951i
$336$	11.1010	−	2.44728i	0.605607	−	0.133510i
$337$		−	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
$339$	15.6117	+	18.9446i	0.847910	+	1.02893i
$340$	1.81488	+	6.77324i	0.0984259	+	0.367331i
$341$		−	7.13585i		−	0.386428i
$342$	0.0328156	−	0.168535i	0.00177446	−	0.00911334i
$343$	−2.84114	−	18.3010i	−0.153407	−	0.988163i
$344$	−13.1998	+	3.53689i	−0.711688	+	0.190696i
$345$	−3.83703	−	0.370080i	−0.206579	−	0.0199244i
$346$	−1.93839	+	7.23419i	−0.104209	+	0.388912i
$347$			6.51430i			0.349706i	0.984595	+	0.174853i	$0.0559450\pi$
$347$			6.51430i			0.349706i	−0.984595	+	0.174853i	$0.944055\pi$
$348$	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
$351$	−4.02692	+	18.2971i	−0.214941	+	0.976627i
$352$	7.30468	−	12.6521i	0.389340	−	0.674358i
$353$	2.89955	−	0.776931i	0.154327	−	0.0413519i	−0.180828	−	0.983515i	$-0.557878\pi$
$353$	2.89955	−	0.776931i	0.154327	−	0.0413519i	0.335155	+	0.942163i	$0.391211\pi$
$354$	−4.19699	−	1.56995i	−0.223068	−	0.0834420i
$355$	7.99131	−	4.61379i	0.424135	−	0.244874i
$356$	9.69882	+	9.69882i	0.514036	+	0.514036i
$357$	29.8338	−	6.57705i	1.57897	−	0.348095i
$358$	−3.15340	+	0.844952i	−0.166663	+	0.0446571i
$359$	−3.06061	−	11.4224i	−0.161533	−	0.602849i	−0.998457	−	0.0555299i	$-0.982315\pi$
$359$	−3.06061	−	11.4224i	−0.161533	−	0.602849i	0.836924	−	0.547319i	$-0.184351\pi$
$360$	−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
$366$	0.136081	−	0.190715i	0.00711307	−	0.00996881i
$367$	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
$369$	4.75808	−	3.20716i	0.247696	−	0.166958i
$370$	0.718223	+	2.68045i	0.0373386	+	0.139350i
$371$	9.77178	−	19.1299i	0.507326	−	0.993173i
$372$	−4.36682	+	6.11999i	−0.226409	+	0.317307i
$373$	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
$375$	9.20420	−	4.19283i	0.475303	−	0.216517i
$376$	−9.01239	−	5.20331i	−0.464779	−	0.268340i
$377$	−24.7591	−	4.76101i	−1.27516	−	0.245205i
$378$	1.99957	+	6.78778i	0.102847	+	0.349126i
$379$	−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	$-0.604736\pi$
$383$	8.41301	−	31.3978i	0.429885	−	1.60435i	0.753019	−	0.657999i	$-0.228597\pi$
$384$	−18.0323	+	8.21433i	−0.920207	+	0.419186i
$385$	−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	0.535772	−	0.844363i	$-0.320021\pi$
$389$	−9.13876	−	15.8288i	−0.463354	−	0.802552i	−0.999126	+	0.0418106i	$0.986687\pi$
$390$	0.0474007	−	1.94807i	0.00240023	−	0.0986442i
$391$	−24.4747			−1.23774
$392$	4.79706	+	12.5735i	0.242288	+	0.635057i
$393$	−15.0330	−	18.2424i	−0.758316	−	0.920209i
$394$	0.535804	−	0.309347i	0.0269934	−	0.0155847i
$395$	0.677234	−	2.52747i	0.0340753	−	0.127171i
$396$	−13.3425	−	6.51285i	−0.670488	−	0.327283i
$397$	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
$399$	−0.509044	−	0.0228275i	−0.0254841	−	0.00114280i
$400$	9.95179	−	5.74567i	0.497589	−	0.287283i
$401$	−3.13806	+	3.13806i	−0.156707	+	0.156707i	−0.781106	−	0.624399i	$-0.785344\pi$
$401$	−3.13806	+	3.13806i	−0.156707	+	0.156707i	0.624399	+	0.781106i	$0.285344\pi$
$402$	2.56529	−	2.11398i	0.127945	−	0.105436i
$403$	−5.05898	−	7.46780i	−0.252006	−	0.371997i
$404$	−26.2400	−	15.1497i	−1.30549	−	0.753725i
$405$	2.12864	+	5.02364i	0.105773	+	0.249626i
$406$	−9.05971	+	2.93345i	−0.449626	+	0.145585i
$407$	−12.6836	+	21.9686i	−0.628701	+	1.08894i
$408$	−20.2016	+	9.20250i	−1.00013	+	0.455592i
$409$	−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
$411$	26.9123	−	12.2595i	1.32749	−	0.604716i
$412$	4.20255	−	7.27904i	0.207045	−	0.358612i
$413$	−2.77816	+	13.0049i	−0.136705	+	0.639929i
$414$	−0.393646	−	5.65525i	−0.0193467	−	0.277941i
$415$	0.367545	+	0.212202i	0.0180421	+	0.0104166i
$416$	−1.32524	−	18.4193i	−0.0649753	−	0.903080i
$417$	−7.04194	+	5.80305i	−0.344845	+	0.284176i
$418$	−0.115437	+	0.115437i	−0.00564619	+	0.00564619i
$419$	−27.7526	+	16.0229i	−1.35580	+	0.782772i	−0.989055	−	0.147549i	$-0.952862\pi$
$419$	−27.7526	+	16.0229i	−1.35580	+	0.782772i	−0.366746	+	0.930321i	$0.619528\pi$
$420$	2.22064	+	4.27813i	0.108356	+	0.208751i
$421$	−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
$423$	−7.12344	+	14.5934i	−0.346353	+	0.709557i
$424$	−4.03990	+	15.0771i	−0.196195	+	0.732210i
$425$	26.7454	−	15.4415i	1.29734	−	0.749022i
$426$	8.62999	+	10.4724i	0.418124	+	0.507390i
$427$	−0.619188	−	0.316289i	−0.0299646	−	0.0153063i
$428$	−15.5071			−0.749566
$429$	12.8985	−	12.2857i	0.622744	−	0.593158i
$430$	−1.10899	−	1.92083i	−0.0534804	−	0.0926308i
$431$	−25.2526	+	6.76641i	−1.21637	+	0.325927i	−0.809260	−	0.587451i	$-0.800132\pi$
$431$	−25.2526	+	6.76641i	−1.21637	+	0.325927i	−0.407114	+	0.913377i	$0.633465\pi$
$432$	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
$435$	−6.68182	+	3.04380i	−0.320369	+	0.145939i
$436$	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
$441$	19.0534	−	8.83002i	0.907303	−	0.420477i
$442$	−0.887859	−	12.3402i	−0.0422312	−	0.586963i
$443$	18.8961	+	10.9097i	0.897781	+	0.518334i	0.876480	−	0.481439i	$-0.159886\pi$
$443$	18.8961	+	10.9097i	0.897781	+	0.518334i	0.0213015	+	0.999773i	$0.493219\pi$
$444$	24.3217	−	11.0794i	1.15426	−	0.525804i
$445$	−2.39618	+	4.15031i	−0.113590	+	0.196744i
$446$	−3.31576	−	5.74306i	−0.157006	−	0.271942i
$447$	15.1751	−	21.2675i	0.717757	−	1.00592i
$448$	3.34489	+	5.16221i	0.158031	+	0.243891i
$449$	−2.42107	−	9.03554i	−0.114257	−	0.426413i	0.884973	−	0.465642i	$-0.154177\pi$
$449$	−2.42107	−	9.03554i	−0.114257	−	0.426413i	−0.999230	+	0.0392286i	$0.987510\pi$
$450$	3.99816	+	5.93159i	0.188475	+	0.279618i
$451$	−5.45571			−0.256899
$452$	−12.2956	+	21.2965i	−0.578335	+	1.00170i
$453$	2.58918	−	3.62867i	0.121650	−	0.170490i
$454$		−	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	−0.402572	−	0.915388i	$-0.631884\pi$
$461$	−6.30203	+	1.68862i	−0.293515	+	0.0786470i	0.109057	+	0.994035i	$0.465217\pi$
$462$	2.03072	−	6.41421i	0.0944777	−	0.298416i
$463$	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
$465$	−2.46032	−	0.920323i	−0.114095	−	0.0426789i
$466$	10.5120	−	2.81669i	0.486960	−	0.130481i
$467$	8.13965	−	14.0983i	0.376658	−	0.652391i	−0.613916	−	0.789372i	$-0.710407\pi$
$467$	8.13965	−	14.0983i	0.376658	−	0.652391i	0.990574	+	0.136981i	$0.0437399\pi$
$468$	−18.5805	+	2.64342i	−0.858885	+	0.122192i
$469$	−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
$474$	3.83025	+	0.369426i	0.175929	+	0.0169683i
$475$	−0.497555	+	0.133319i	−0.0228294	+	0.00611711i
$476$	16.6416	+	25.6832i	0.762765	+	1.17719i
$477$	23.9083	+	4.65520i	1.09469	+	0.213147i
$478$		−	9.13374i		−	0.417767i
$479$	6.42707	+	23.9862i	0.293660	+	1.09596i	0.942275	+	0.334839i	$0.108682\pi$
$479$	6.42707	+	23.9862i	0.293660	+	1.09596i	−0.648615	+	0.761117i	$0.724651\pi$
$480$	−3.42013	−	4.15029i	−0.156107	−	0.189434i
$481$	2.30110	+	31.9826i	0.104921	+	1.45828i
$482$		−	9.98559i		−	0.454831i
$483$	−16.4292	+	3.62193i	−0.747556	+	0.164804i
$484$	−2.48452	−	4.30332i	−0.112933	−	0.195605i
$485$	2.48805	+	4.30943i	0.112977	+	0.195681i
$486$	−6.77049	+	4.30571i	−0.307115	+	0.195311i
$487$	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
$489$	−8.61841	+	12.0785i	−0.389738	+	0.546209i
$490$	−1.76970	+	1.28024i	−0.0799468	+	0.0578356i
$491$	6.70572	+	11.6146i	0.302625	+	0.524162i	0.976730	−	0.214474i	$-0.0688038\pi$
$491$	6.70572	+	11.6146i	0.302625	+	0.524162i	−0.674105	+	0.738636i	$0.735470\pi$
$492$	4.67904	+	3.33865i	0.210947	+	0.150518i
$493$	−40.3722	+	23.3089i	−1.81827	+	1.04978i
$494$	−0.0389674	+	0.202646i	−0.00175323	+	0.00911745i
$495$	0.991450	−	5.09192i	0.0445624	−	0.228865i
$496$	−5.99428	−	1.60616i	−0.269151	−	0.0721188i
$497$	26.9778	−	29.9005i	1.21012	−	1.34122i
$498$	−0.218668	+	0.584571i	−0.00979875	+	0.0261952i
$499$	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
$501$	18.5255	+	13.2185i	0.827657	+	0.590561i
$502$	1.25427	−	0.336081i	0.0559809	−	0.0150001i
$503$	7.05367	+	4.07244i	0.314508	+	0.181581i	0.648942	−	0.760838i	$-0.275212\pi$
$503$	7.05367	+	4.07244i	0.314508	+	0.181581i	−0.334434	+	0.942419i	$0.608545\pi$
$504$	−12.1990	+	9.16698i	−0.543385	+	0.408330i
$505$	2.73997	−	10.2257i	0.121927	−	0.455038i
$506$	−2.69500	+	4.66788i	−0.119807	+	0.207512i
$507$	4.78852	−	22.0016i	0.212665	−	0.977125i
$508$	4.45946	+	7.72401i	0.197856	+	0.342697i
$509$	−19.9906	−	19.9906i	−0.886069	−	0.886069i	0.108074	−	0.994143i	$-0.465532\pi$
$509$	−19.9906	−	19.9906i	−0.886069	−	0.886069i	−0.994143	+	0.108074i	$0.965532\pi$
$510$	−2.29135	−	2.78053i	−0.101463	−	0.123124i
$511$	−4.96549	−	15.3355i	−0.219661	−	0.678403i
$512$	−15.7282	−	15.7282i	−0.695093	−	0.695093i
$513$	−0.134613	−	0.561882i	−0.00594329	−	0.0248077i
$514$	3.93280	+	3.93280i	0.173469	+	0.173469i
$515$	2.83663	+	0.760073i	0.124997	+	0.0334928i
$516$	−16.4854	+	13.5851i	−0.725728	+	0.598051i
$517$	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	−0.0999585	−	0.994992i	$-0.531871\pi$
$521$	16.2460	−	9.37963i	0.711750	−	0.410929i	0.811709	+	0.584062i	$0.198538\pi$
$522$	−6.03522	−	8.95373i	−0.264154	−	0.391894i
$523$	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
$525$	15.6684	−	14.3235i	0.683825	−	0.625127i
$526$	−1.33475	−	4.98137i	−0.0581980	−	0.217198i
$527$	−16.1096	−	4.31656i	−0.701745	−	0.188032i
$528$	1.17656	−	12.1987i	0.0512032	−	0.530881i
$529$	−9.52200			−0.414000
$530$	−2.53343			−0.110045
$531$	−15.0425	+	1.04707i	−0.652789	+	0.0454388i
$532$	−0.157240	−	0.485621i	−0.00681721	−	0.0210544i
$533$	−5.70950	+	3.86784i	−0.247306	+	0.167535i
$534$	−6.60097	−	2.46920i	−0.285652	−	0.106853i
$535$	−1.40231	−	5.23349i	−0.0606271	−	0.226264i
$536$	6.20786	+	3.58411i	0.268139	+	0.154810i
$537$	−8.47797	+	6.98643i	−0.365851	+	0.301487i
$538$	−2.19480	+	2.19480i	−0.0946246	+	0.0946246i
$539$	−19.7145	−	3.16376i	−0.849162	−	0.136273i
$540$	−3.96633	+	3.76032i	−0.170684	+	0.161818i
$541$	−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
$543$	−8.95883	+	23.9499i	−0.384460	+	1.02779i
$544$	−24.1441	−	24.1441i	−1.03517	−	1.03517i
$545$	10.8173			0.463361
$546$	−2.42219	−	8.15228i	−0.103660	−	0.348885i
$547$	−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
$549$	0.150678	−	0.773855i	0.00643077	−	0.0330273i
$550$		−	6.80128i		−	0.290008i
$551$	0.751058	−	0.201245i	0.0319962	−	0.00857334i
$552$	11.1248	−	5.06775i	0.473505	−	0.215698i
$553$	−0.586018	−	11.4048i	−0.0249200	−	0.484980i
$554$	0.742870	−	0.742870i	0.0315615	−	0.0315615i
$555$	5.93858	+	7.20641i	0.252079	+	0.305895i
$556$	−7.91618	−	4.57041i	−0.335721	−	0.193829i
$557$	6.97442	+	26.0289i	0.295516	+	1.10288i	0.940807	+	0.338943i	$0.110069\pi$
$557$	6.97442	+	26.0289i	0.295516	+	1.10288i	−0.645291	+	0.763937i	$0.723264\pi$
$558$	0.738304	−	3.79180i	0.0312549	−	0.160520i
$559$	−8.39270	−	24.2158i	−0.354973	−	1.02422i
$560$	−2.66526	+	2.95400i	−0.112628	+	0.124829i
$561$	3.16200	−	32.7840i	0.133500	−	1.38414i
$562$	4.58416			0.193371
$563$	38.6767			1.63003			0.815015	−	0.579441i	$-0.196729\pi$
$563$	38.6767			1.63003			0.815015	+	0.579441i	$0.196729\pi$
$564$	−16.1923	−	1.56174i	−0.681821	−	0.0657613i
$565$	−8.29924	−	2.22377i	−0.349151	−	0.0935549i
$566$	−0.0487462	−	0.181923i	−0.00204895	−	0.00764680i
$567$	15.5921	+	17.9968i	0.654807	+	0.755796i
$568$	−14.6316	+	25.3426i	−0.613928	+	1.06335i
$569$	19.0907			0.800324			0.400162	−	0.916444i	$-0.368954\pi$
$569$	19.0907			0.800324			0.400162	+	0.916444i	$0.368954\pi$
$570$	0.0249126	+	0.0546887i	0.00104347	+	0.00229066i
$571$	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
$576$	−4.57752	+	5.26245i	−0.190730	+	0.219269i
$577$	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
$579$	12.3271	+	1.18894i	0.512296	+	0.0494108i
$580$	−5.20093	−	5.20093i	−0.215957	−	0.215957i
$581$	1.81136	+	0.386952i	0.0751481	+	0.0160535i
$582$	−5.64739	+	4.65384i	−0.234092	+	0.192908i
$583$	−16.3758	−	16.3758i	−0.678215	−	0.678215i
$584$	5.85646	+	10.1437i	0.242342	+	0.419748i
$585$	−2.57236	−	6.03168i	−0.106354	−	0.249379i
$586$	2.25383	−	3.90375i	0.0931049	−	0.161262i
$587$	9.54830	−	35.6347i	0.394100	−	1.47080i	−0.429206	−	0.903206i	$-0.641207\pi$
$587$	9.54830	−	35.6347i	0.394100	−	1.47080i	0.823307	−	0.567597i	$-0.192127\pi$
$588$	14.9718	+	14.7777i	0.617428	+	0.609423i
$589$	0.240907	+	0.139088i	0.00992641	+	0.00573102i
$590$	1.51493	−	0.405924i	0.0623686	−	0.0167116i
$591$	1.20926	−	1.69475i	0.0497422	−	0.0697126i
$592$	15.5993	+	15.5993i	0.641125	+	0.641125i
$593$	0.630070	+	2.35145i	0.0258739	+	0.0965626i	0.977655	−	0.210214i	$-0.0674162\pi$
$593$	0.630070	+	2.35145i	0.0258739	+	0.0965626i	−0.951781	+	0.306777i	$0.900749\pi$
$594$	7.62612	+	0.203338i	0.312903	+	0.00834306i
$595$	−7.16289	+	7.93887i	−0.293650	+	0.325462i
$596$	25.2801	+	6.77380i	1.03552	+	0.277465i
$597$	−16.2096	+	43.3336i	−0.663416	+	1.77353i
$598$	0.488937	+	6.79565i	0.0199941	+	0.277895i
$599$	−17.1114	+	9.87927i	−0.699153	+	0.403656i	−0.807032	−	0.590508i	$-0.798927\pi$
$599$	−17.1114	+	9.87927i	−0.699153	+	0.403656i	0.107879	+	0.994164i	$0.465594\pi$
$600$	−8.95968	+	12.5568i	−0.365777	+	0.512628i
$601$	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
$603$	4.90672	−	10.0522i	0.199817	−	0.409355i
$604$	4.31331	+	1.15575i	0.175506	+	0.0470267i
$605$	1.22765	−	1.22765i	0.0499110	−	0.0499110i
$606$	15.4965	+	1.49463i	0.629504	+	0.0607154i
$607$	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
$609$	−23.6514	+	21.6212i	−0.958404	+	0.876136i
$610$			0.0820009i			0.00332012i
$611$	8.52043	−	17.5590i	0.344700	−	0.710362i
$612$	−22.7742	+	26.1819i	−0.920593	+	1.05834i
$613$	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
$615$	−0.703633	+	1.88104i	−0.0283732	+	0.0758508i
$616$	14.4894	−	0.744518i	0.583795	−	0.0299975i
$617$	−10.6637	+	2.85732i	−0.429303	+	0.115031i	−0.466999	−	0.884258i	$-0.654665\pi$
$617$	−10.6637	+	2.85732i	−0.429303	+	0.115031i	0.0376959	+	0.999289i	$0.487998\pi$
$618$	−0.414615	+	4.29877i	−0.0166783	+	0.172922i
$619$	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
$624$	−7.41702	−	13.6003i	−0.296918	−	0.544448i
$625$	9.81123	−	16.9936i	0.392449	−	0.679742i
$626$	2.07712	−	0.556563i	0.0830184	−	0.0222447i
$627$	−0.192469	+	0.514533i	−0.00768648	+	0.0205485i
$628$	31.2055	−	18.0165i	1.24524	−	0.718937i
$629$	41.9230	+	41.9230i	1.67158	+	1.67158i
$630$	−1.94961	−	1.52741i	−0.0776742	−	0.0608535i
$631$	−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
$639$	41.0364	+	20.0309i	1.62337	+	0.792412i
$640$	3.46768	−	6.00619i	0.137072	−	0.237416i
$641$	20.6741			0.816576			0.408288	−	0.912853i	$-0.366126\pi$
$641$	20.6741			0.816576			0.408288	+	0.912853i	$0.366126\pi$
$642$	7.25100	−	3.30308i	0.286174	−	0.130362i
$643$	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
$645$	−6.07559	−	4.33514i	−0.239226	−	0.170696i
$646$	0.190776	+	0.330434i	0.00750598	+	0.0130007i
$647$	−15.6763	+	27.1521i	−0.616299	+	1.06746i	0.373857	+	0.927487i	$0.378035\pi$
$647$	−15.6763	+	27.1521i	−0.616299	+	1.06746i	−0.990155	+	0.139974i	$0.955298\pi$
$648$	−13.8118	−	10.4217i	−0.542577	−	0.409403i
$649$	12.4162	+	7.16847i	0.487377	+	0.281387i
$650$	−4.82179	−	7.11767i	−0.189126	−	0.279178i
$651$	−11.4528	−	0.513585i	−0.448870	−	0.0201290i
$652$	−14.3574	−	3.84705i	−0.562279	−	0.150662i
$653$		−	32.4460i		−	1.26971i	−0.772631	−	0.634855i	$-0.781060\pi$
$653$		−	32.4460i		−	1.26971i	0.772631	−	0.634855i	$-0.218940\pi$
$654$	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
$657$	15.1561	−	10.2159i	0.591296	−	0.398560i
$658$	−0.378279	−	7.36186i	−0.0147468	−	0.286995i
$659$	−11.8367	−	6.83395i	−0.461094	−	0.266213i	0.251410	−	0.967881i	$-0.419106\pi$
$659$	−11.8367	−	6.83395i	−0.461094	−	0.266213i	−0.712504	+	0.701668i	$0.752439\pi$
$660$	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
$663$	−19.9332	−	36.5508i	−0.774143	−	1.41952i
$664$	−1.34590			−0.0522311
$665$	0.149673	−	0.0969814i	0.00580406	−	0.00376078i
$666$	−9.01268	+	10.3612i	−0.349234	+	0.401490i
$667$	22.2326	−	12.8360i	0.860851	−	0.497012i
$668$	−5.90044	+	22.0208i	−0.228295	+	0.852009i
$669$	−18.1653	−	12.9615i	−0.702311	−	0.501122i
$670$	−0.301121	+	1.12380i	−0.0116333	+	0.0434161i
$671$	−0.530044	+	0.530044i	−0.0204621	+	0.0204621i
$672$	−19.7804	−	12.6343i	−0.763044	−	0.487380i
$673$	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
$675$	20.5180	+	12.5869i	0.789739	+	0.484471i
$676$	22.3236	−	3.22901i	0.858598	−	0.124193i
$677$	5.94352	+	3.43149i	0.228428	+	0.131883i	0.609847	−	0.792519i	$-0.291231\pi$
$677$	5.94352	+	3.43149i	0.228428	+	0.131883i	−0.381419	+	0.924402i	$0.624564\pi$
$678$	1.21305	−	12.5771i	0.0465870	−	0.483020i
$679$	16.1242	+	14.5482i	0.618792	+	0.558308i
$680$	3.88483	−	6.72873i	0.148977	−	0.258035i
$681$	−16.6983	−	36.6565i	−0.639880	−	1.40468i
$682$	−2.59716	+	2.59716i	−0.0994503	+	0.0994503i
$683$	36.0622	−	36.0622i	1.37988	−	1.37988i	0.535077	−	0.844803i	$-0.320283\pi$
$683$	36.0622	−	36.0622i	1.37988	−	1.37988i	0.844803	−	0.535077i	$-0.179717\pi$
$684$	0.479940	−	0.323502i	0.0183510	−	0.0123694i
$685$	−5.17534	+	8.96395i	−0.197739	+	0.342495i
$686$	−5.62677	+	7.69489i	−0.214831	+	0.293792i
$687$	22.1867	+	2.13990i	0.846476	+	0.0816423i
$688$	−15.2702	−	8.81627i	−0.582172	−	0.336117i
$689$	−28.7472	−	5.52790i	−1.09518	−	0.210596i
$690$	1.26183	+	1.53122i	0.0480370	+	0.0582924i
$691$	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
$693$	−2.72903	−	22.4750i	−0.103667	−	0.853756i
$694$	2.37094	−	2.37094i	0.0899997	−	0.0899997i
$695$	0.826604	−	3.08493i	0.0313549	−	0.117018i
$696$	13.5246	−	18.9544i	0.512649	−	0.718466i
$697$	−3.30022	+	12.3166i	−0.125005	+	0.466524i
$698$	0.354482	−	0.204660i	0.0134173	−	0.00774651i
$699$	28.2617	−	23.2896i	1.06896	−	0.880894i
$700$	18.9380	+	9.67379i	0.715790	+	0.365635i
$701$	15.2937			0.577635			0.288817	−	0.957384i	$-0.406738\pi$
$701$	15.2937			0.577635			0.288817	+	0.957384i	$0.406738\pi$
$702$	8.12503	−	5.19376i	0.306660	−	0.196026i
$703$	−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
$708$	−6.26182	−	13.7461i	−0.235334	−	0.516610i
$709$	−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
$714$	−13.2521	−	8.46450i	−0.495946	−	0.316776i
$715$	−1.17731	+	6.12249i	−0.0440291	+	0.228968i
$716$	−9.53049	−	5.50243i	−0.356171	−	0.205635i
$717$	−12.7414	−	27.9702i	−0.475836	−	1.04457i
$718$	−3.04333	+	5.27121i	−0.113576	+	0.196720i
$719$	14.4717	+	25.0658i	0.539704	+	0.934795i	0.998920	+	0.0464702i	$0.0147973\pi$
$719$	14.4717	+	25.0658i	0.539704	+	0.934795i	−0.459215	+	0.888325i	$0.651869\pi$
$720$	−4.05417	−	1.97895i	−0.151090	−	0.0737510i
$721$	12.7998	−	0.657700i	0.476690	−	0.0244940i
$722$	2.52950	+	9.44022i	0.0941383	+	0.351329i
$723$	−13.9297	−	30.5788i	−0.518051	−	1.13724i
$724$	−25.6151			−0.951980
$725$	−16.1969	+	28.0539i	−0.601538	+	1.04190i
$726$	2.07836	+	1.48298i	0.0771353	+	0.0550386i
$727$			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
$735$	−3.63342	+	6.38918i	−0.134021	+	0.235669i
$736$	13.2960	+	13.2960i	0.490096	+	0.490096i
$737$	−9.21052	+	5.31769i	−0.339274	+	0.195880i
$738$	−2.89902	−	0.564470i	−0.106714	−	0.0207784i
$739$	−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
$741$	0.163357	+	0.674920i	0.00600106	+	0.0247938i
$742$	−10.5190	+	3.40596i	−0.386165	+	0.125037i
$743$	7.17477	−	26.7766i	0.263217	−	0.982339i	−0.700116	−	0.714029i	$-0.746868\pi$
$743$	7.17477	−	26.7766i	0.263217	−	0.982339i	0.963333	−	0.268310i	$-0.0864650\pi$
$744$	8.21634	−	1.37360i	0.301225	−	0.0503586i
$745$			9.14433i			0.335022i
$746$	0.102636	−	0.383044i	0.00375779	−	0.0140242i
$747$	0.145839	+	2.09517i	0.00533596	+	0.0766582i
$748$	31.8693	−	8.53935i	1.16526	−	0.312230i
$749$	−12.8585	−	19.8447i	−0.469838	−	0.725108i
$750$	−4.87597	−	1.82393i	−0.178045	−	0.0666007i
$751$			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
$753$	3.37213	−	2.77887i	0.122887	−	0.101268i
$754$	7.27848	+	10.7441i	0.265067	+	0.391277i
$755$			1.56021i			0.0567818i
$756$	−11.4132	+	20.9456i	−0.415093	+	0.761782i
$757$	−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
$759$	−1.74129	+	18.0539i	−0.0632048	+	0.655315i
$760$	−0.0916359	+	0.0916359i	−0.00332398	+	0.00332398i
$761$	26.7361	+	7.16393i	0.969184	+	0.259692i	0.708483	−	0.705727i	$-0.249380\pi$
$761$	26.7361	+	7.16393i	0.969184	+	0.259692i	0.260701	+	0.965420i	$0.416046\pi$
$762$	−3.73045	−	2.66180i	−0.135140	−	0.0964267i
$763$	44.9143	−	14.5428i	1.62601	−	0.526486i
$764$	−4.19021	−	7.25765i	−0.151596	−	0.262573i
$765$	−10.8956	−	5.31842i	−0.393931	−	0.192288i
$766$	−14.4895	+	8.36552i	−0.523527	+	0.302259i
$767$	18.0758	−	1.30053i	0.652681	−	0.0469594i
$768$	2.00943	+	0.751660i	0.0725092	+	0.0271232i
$769$	−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
$771$	17.5296	+	6.55723i	0.631313	+	0.236153i
$772$	3.21087	+	11.9831i	0.115562	+	0.431283i
$773$	−34.2448	−	34.2448i	−1.23170	−	1.23170i	−0.963310	−	0.268390i	$-0.913508\pi$
$773$	−34.2448	−	34.2448i	−1.23170	−	1.23170i	−0.268390	−	0.963310i	$-0.586492\pi$
$774$	4.81474	−	9.86372i	0.173062	−	0.354544i
$775$	−11.1943	+	2.99950i	−0.402110	+	0.107745i
$776$	−13.6664	−	7.89029i	−0.490594	−	0.283245i
$777$	34.3459	+	21.9378i	1.23215	+	0.787014i
$778$	−2.43490	+	9.08718i	−0.0872954	+	0.325791i
$779$	0.106340	−	0.184186i	0.00381001	−	0.00659914i
$780$	4.75640	−	4.53043i	0.170306	−	0.162215i
$781$	−21.7087	−	37.6006i	−0.776798	−	1.34545i
$782$	8.90778	+	8.90778i	0.318541	+	0.318541i
$783$	−30.9719	−	18.9999i	−1.10685	−	0.679003i
$784$	−7.09503	+	15.8485i	−0.253394	+	0.566017i
$785$	8.90229	+	8.90229i	0.317736	+	0.317736i
$786$	−1.16809	+	12.1109i	−0.0416645	+	0.431982i
$787$	−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
$789$	−11.0363	−	13.3925i	−0.392904	−	0.476785i
$790$	−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
$795$	−7.75811	+	3.53408i	−0.275152	+	0.125341i
$796$	−46.3467			−1.64271
$797$	4.47986	−	7.75935i	0.158685	−	0.274850i	−0.775710	−	0.631090i	$-0.782608\pi$
$797$	4.47986	−	7.75935i	0.158685	−	0.274850i	0.934395	+	0.356240i	$0.115941\pi$
$798$	0.176963	+	0.193580i	0.00626443	+	0.00685264i
$799$	−9.33993	−	34.8571i	−0.330423	−	1.23316i
$800$	−22.9182	−	6.14092i	−0.810282	−	0.217114i
$801$	−23.6586	+	1.64681i	−0.835936	+	0.0581871i
$802$	2.28425			0.0806598
$803$	−17.3783			−0.613267
$804$	11.1535	+	1.07575i	0.393354	+	0.0379388i
$805$	3.94455	−	4.37187i	0.139027	−	0.154088i
$806$	−0.876711	+	4.55924i	−0.0308808	+	0.160592i
$807$	−3.65943	+	9.78284i	−0.128818	+	0.344372i
$808$	8.68919	+	32.4285i	0.305685	+	1.14083i
$809$	18.9188	+	10.9228i	0.665149	+	0.384024i	0.794236	−	0.607609i	$-0.207871\pi$
$809$	18.9188	+	10.9228i	0.665149	+	0.384024i	−0.129087	+	0.991633i	$0.541205\pi$
$810$	1.05366	−	2.60313i	0.0370219	−	0.0914648i
$811$	−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
$813$	−7.75625	−	17.0267i	−0.272024	−	0.597153i
$814$	12.6120	−	3.37937i	0.442049	−	0.118447i
$815$		−	5.19336i		−	0.181915i
$816$	−26.8276	−	10.0353i	−0.939154	−	0.351306i
$817$	0.558890	+	0.558890i	0.0195531	+	0.0195531i
$818$	0.401405			0.0140348
$819$	−18.7897	−	21.5858i	−0.656566	−	0.754268i
$820$	−2.01183			−0.0702562
$821$	13.1021	+	13.1021i	0.457266	+	0.457266i	0.897757	−	0.440491i	$-0.145196\pi$
$821$	13.1021	+	13.1021i	0.457266	+	0.457266i	−0.440491	+	0.897757i	$0.645196\pi$
$822$	−14.2569	−	5.33304i	−0.497268	−	0.186011i
$823$		−	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
$825$	−9.48766	−	20.8276i	−0.330318	−	0.725122i
$826$	5.74439	−	3.72211i	0.199873	−	0.129509i
$827$	12.5753	−	12.5753i	0.437285	−	0.437285i	−0.453812	−	0.891097i	$-0.649936\pi$
$827$	12.5753	−	12.5753i	0.437285	−	0.437285i	0.891097	+	0.453812i	$0.149936\pi$
$828$	12.5416	−	14.4182i	0.435850	−	0.501066i
$829$	−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
$831$	1.23860	−	3.31118i	0.0429666	−	0.114864i
$832$	5.48675	−	6.33748i	0.190219	−	0.219713i
$833$	−19.0679	+	42.5928i	−0.660663	+	1.47575i
$834$	4.67505	+	0.450907i	0.161884	+	0.0156136i
$835$	−7.96534			−0.275652
$836$	−0.550309			−0.0190329
$837$	−3.02859	−	12.6415i	−0.104683	−	0.436956i
$838$	15.9325	+	4.26910i	0.550379	+	0.147474i
$839$	5.18013	+	19.3325i	0.178838	+	0.667433i	0.995866	+	0.0908347i	$0.0289535\pi$
$839$	5.18013	+	19.3325i	0.178838	+	0.667433i	−0.817028	+	0.576598i	$0.804380\pi$
$840$	1.61203	−	5.09173i	0.0556202	−	0.175681i
$841$	9.94922	−	17.2326i	0.343077	−	0.594226i
$842$	7.42263			0.255801
$843$	14.0381	−	6.39482i	0.483496	−	0.220249i
$844$	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
$849$	−0.403055	−	0.489103i	−0.0138328	−	0.0167860i
$850$	−15.3543	−	4.11417i	−0.526648	−	0.141115i
$851$	−23.0866	−	23.0866i	−0.791400	−	0.791400i
$852$	−4.39159	+	45.5325i	−0.150453	+	1.55992i
$853$	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
$855$	0.152579	+	0.132720i	0.00521810	+	0.00453894i
$856$	12.1497	+	12.1497i	0.415269	+	0.415269i
$857$	−1.37388	−	2.37964i	−0.0469310	−	0.0812868i	0.841606	−	0.540092i	$-0.181611\pi$
$857$	−1.37388	−	2.37964i	−0.0469310	−	0.0812868i	−0.888537	+	0.458806i	$0.848277\pi$
$858$	−9.16600	−	0.223029i	−0.312922	−	0.00761407i
$859$	−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
$861$	−0.392661	+	8.75621i	−0.0133819	+	0.298411i
$862$	11.6536	+	6.72821i	0.396923	+	0.229164i
$863$	−38.4369	+	10.2991i	−1.30841	+	0.350587i	−0.844623	−	0.535361i	$-0.820175\pi$
$863$	−38.4369	+	10.2991i	−1.30841	+	0.350587i	−0.463784	+	0.885948i	$0.653509\pi$
$864$	7.57086	−	25.5141i	0.257566	−	0.868007i
$865$	−6.23729	−	6.23729i	−0.212074	−	0.212074i
$866$	−3.53343	−	13.1870i	−0.120071	−	0.448111i
$867$	−44.5206	−	16.6537i	−1.51200	−	0.565588i
$868$	−3.53767	−	10.9258i	−0.120076	−	0.370845i
$869$	−11.8922	−	3.18650i	−0.403415	−	0.108095i
$870$	3.53973	+	1.32409i	0.120008	+	0.0448909i
$871$	−5.86898	+	12.0949i	−0.198863	+	0.409820i
$872$	−29.7086	+	17.1523i	−1.00606	+	0.580849i
$873$	−10.8020	+	22.1295i	−0.365591	+	0.748969i
$874$	−0.105059	−	0.181967i	−0.00355367	−	0.00615513i
$875$	−3.22761	+	15.1088i	−0.109113	+	0.510771i
$876$	14.9043	+	10.6347i	0.503571	+	0.359314i
$877$	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
$879$	1.45624	−	15.0985i	0.0491179	−	0.509260i
$880$	2.14470	+	3.71473i	0.0722978	+	0.125223i
$881$	−13.5050	−	23.3913i	−0.454994	−	0.788072i	0.543694	−	0.839283i	$-0.317025\pi$
$881$	−13.5050	−	23.3913i	−0.454994	−	0.788072i	−0.998688	+	0.0512112i	$0.983692\pi$
$882$	−10.1484	−	3.72088i	−0.341715	−	0.125288i
$883$		−	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
$885$	4.07290	−	3.35635i	0.136909	−	0.112823i
$886$	−2.90674	−	10.8481i	−0.0976537	−	0.364449i
$887$			5.31448i			0.178443i	0.996012	+	0.0892214i	$0.0284379\pi$
$887$			5.31448i			0.178443i	−0.996012	+	0.0892214i	$0.971562\pi$
$888$	−27.7365	−	10.3753i	−0.930776	−	0.348172i
$889$	−6.18673	+	12.1115i	−0.207496	+	0.406208i
$890$	2.38266	−	0.638431i	0.0798668	−	0.0214002i
$891$	23.6371	−	10.0156i	0.791873	−	0.335536i
$892$	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
$897$	10.9771	+	20.1282i	0.366514	+	0.672062i
$898$	−2.40740	+	4.16974i	−0.0803359	+	0.139146i
$899$	16.8977	−	4.52773i	0.563571	−	0.151008i
$900$	−4.60852	+	23.6686i	−0.153617	+	0.788953i
$901$	−46.8752	+	27.0634i	−1.56164	+	0.901613i
$902$	1.98566	+	1.98566i	0.0661151	+	0.0661151i
$903$	−31.0546	−	9.83180i	−1.03343	−	0.327182i
$904$	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	$0.00180340\pi$
$911$			0.342003i			0.0113311i	−0.999984	+	0.00566553i	$0.998197\pi$
$912$	0.388898	+	0.277491i	0.0128777	+	0.00918866i
$913$	0.998448	−	1.72936i	0.0330438	−	0.0572335i
$914$	12.9549			0.428509
$915$	0.114390	+	0.251111i	0.00378161	+	0.00830148i
$916$	5.77904	+	21.5677i	0.190945	+	0.712616i
$917$	36.0608	−	1.85293i	1.19083	−	0.0611893i
$918$	5.07217	−	17.0934i	0.167407	−	0.564167i
$919$	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
$921$	22.0610	+	48.4288i	0.726934	+	1.59578i
$922$	2.90827	+	1.67909i	0.0957788	+	0.0552979i
$923$	−49.3756	−	23.9592i	−1.62522	−	0.788628i
$924$	20.1294	−	10.4485i	0.662207	−	0.343730i
$925$	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	$0.222940\pi$
$929$	−6.70001	+	25.0048i	−0.219820	+	0.820380i	−0.984414	+	0.175867i	$0.943727\pi$
$930$	0.560497	+	1.23042i	0.0183794	+	0.0403470i
$931$	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
$936$	16.6288	+	12.4866i	0.543529	+	0.408137i
$937$	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
$939$	5.58436	−	4.60190i	0.182239	−	0.150177i
$940$	4.93086	−	2.84683i	0.160827	−	0.0928535i
$941$	−4.10685	+	15.3270i	−0.133880	+	0.499646i	−1.00000		0.000189905i	$-0.999940\pi$
$941$	−4.10685	+	15.3270i	−0.133880	+	0.499646i	0.866120	+	0.499836i	$0.166606\pi$
$942$	−10.7538	+	15.0713i	−0.350379	+	0.491048i
$943$	1.81741	−	6.78265i	0.0591829	−	0.220873i
$944$	8.81635	−	8.81635i	0.286948	−	0.286948i
$945$	−8.10099	−	1.95772i	−0.263525	−	0.0636846i
$946$	−9.03786	+	5.21801i	−0.293846	+	0.169652i
$947$	−5.05687	+	5.05687i	−0.164326	+	0.164326i	−0.784480	−	0.620154i	$-0.787070\pi$
$947$	−5.05687	+	5.05687i	−0.164326	+	0.164326i	0.620154	+	0.784480i	$0.287070\pi$
$948$	8.24924	+	10.0104i	0.267923	+	0.325122i
$949$	−18.1867	+	12.3204i	−0.590365	+	0.399937i
$950$	0.229612	+	0.132567i	0.00744961	+	0.00430103i
$951$	46.0335	+	4.43991i	1.49274	+	0.143974i
$952$	7.08402	−	33.1611i	0.229594	−	1.07476i
$953$	30.4836	−	52.7992i	0.987461	−	1.71033i	0.357017	−	0.934098i	$-0.383794\pi$
$953$	30.4836	−	52.7992i	0.987461	−	1.71033i	0.630444	−	0.776235i	$-0.282873\pi$
$954$	−7.00736	−	10.3960i	−0.226871	−	0.336582i
$955$	2.07046	−	2.07046i	0.0669985	−	0.0669985i
$956$	21.7712	−	21.7712i	0.704131	−	0.704131i
$957$	14.3216	+	31.4392i	0.462952	+	1.01628i
$958$	6.39079	−	11.0692i	0.206477	−	0.357629i
$959$	−9.43726	+	44.1769i	−0.304745	+	1.42655i
$960$	0.234363	−	2.42991i	0.00756405	−	0.0784249i
$961$	−21.4267	−	12.3707i	−0.691184	−	0.399055i
$962$	10.8029	−	12.4779i	0.348298	−	0.402302i
$963$	17.5970	−	20.2300i	0.567055	−	0.651903i
$964$	23.8017	−	23.8017i	0.766600	−	0.766600i
$965$	−3.75382	+	2.16727i	−0.120840	+	0.0697669i
$966$	7.29780	+	4.66133i	0.234803	+	0.149976i
$967$	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
$969$	1.04516	+	0.745758i	0.0335754	+	0.0239572i
$970$	0.662907	−	2.47400i	0.0212847	−	0.0794355i
$971$	−47.7344	+	27.5595i	−1.53187	+	0.884425i	−0.532593	+	0.846371i	$0.678782\pi$
$971$	−47.7344	+	27.5595i	−1.53187	+	0.884425i	−0.999276	+	0.0380537i	$0.987884\pi$
$972$	−26.4012	−	5.87504i	−0.846820	−	0.188442i
$973$	−0.715269	−	13.9202i	−0.0229305	−	0.446261i
$974$	−2.41243			−0.0772993
$975$	−24.6948	−	15.0701i	−0.790866	−	0.482630i
$976$	0.325945	+	0.564553i	0.0104332	+	0.0180709i
$977$	−14.0514	+	3.76507i	−0.449545	+	0.120455i	−0.476487	−	0.879182i	$-0.658090\pi$
$977$	−14.0514	+	3.76507i	−0.449545	+	0.120455i	0.0269414	+	0.999637i	$0.491423\pi$
$978$	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
$981$	29.9201	+	44.3889i	0.955276	+	1.41723i
$982$	1.78665	−	6.66786i	0.0570142	−	0.212780i
$983$	12.3750	+	3.31588i	0.394702	+	0.105760i	0.450711	−	0.892670i	$-0.351171\pi$
$983$	12.3750	+	3.31588i	0.394702	+	0.105760i	−0.0560083	+	0.998430i	$0.517837\pi$
$984$	−1.05019	−	6.28180i	−0.0334787	−	0.200256i
$985$			0.728685i			0.0232178i
$986$	23.1773	+	6.21034i	0.738116	+	0.197778i
$987$	−11.4281	−	22.0165i	−0.363759	−	0.700793i
$988$	−0.575909	+	0.390143i	−0.0183221	+	0.0124121i
$989$	22.5997	+	13.0479i	0.718628	+	0.414900i
$990$	−2.21410	+	1.49240i	−0.0703687	+	0.0474317i
$991$	−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
$993$	44.5399	+	31.7807i	1.41343	+	1.00853i
$994$	−20.7014	+	1.06371i	−0.656608	+	0.0337389i
$995$	−4.19113	−	15.6415i	−0.132868	−	0.495869i
$996$	−1.91460	+	0.872167i	−0.0606665	+	0.0276357i
$997$	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
$999$	−13.1458	+	44.3017i	−0.415914	+	1.40164i

Twists

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

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

\(f(q)\)	\(=\)	\(q+(-0.363959 - 0.363959i) q^{2} +(-1.62227 - 0.606835i) q^{3} -1.73507i q^{4} +(0.585566 - 0.156902i) q^{5} +(0.369576 + 0.811302i) q^{6} +(2.22038 - 1.43871i) q^{7} +(-1.35941 + 1.35941i) q^{8} +(2.26350 + 1.96890i) q^{9} +O(q^{10})\)	\(q+(-0.363959 - 0.363959i) q^{2} +(-1.62227 - 0.606835i) q^{3} -1.73507i q^{4} +(0.585566 - 0.156902i) q^{5} +(0.369576 + 0.811302i) q^{6} +(2.22038 - 1.43871i) q^{7} +(-1.35941 + 1.35941i) q^{8} +(2.26350 + 1.96890i) q^{9} +(-0.270228 - 0.156016i) q^{10} +(-0.738252 - 2.75519i) q^{11} +(-1.05290 + 2.81474i) q^{12} +(-2.72590 - 2.35998i) q^{13} +(-1.33176 - 0.284497i) q^{14} +(-1.04516 - 0.100805i) q^{15} -2.48059 q^{16} -6.66659 q^{17} +(-0.107224 - 1.54042i) q^{18} +(0.107405 + 0.0287792i) q^{19} +(-0.272236 - 1.01600i) q^{20} +(-4.47512 + 0.986569i) q^{21} +(-0.734084 + 1.27147i) q^{22} +3.67124 q^{23} +(3.03027 - 1.38039i) 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} +(0.343706 + 0.417084i) q^{30} +(2.41647 + 0.647491i) q^{31} +(3.62166 + 3.62166i) q^{32} +(-0.474306 + 4.91766i) q^{33} +(2.42637 + 2.42637i) q^{34} +(1.07445 - 1.19084i) q^{35} +(3.41617 - 3.92733i) q^{36} +(-6.28852 - 6.28852i) q^{37} +(-0.0286167 - 0.0495656i) q^{38} +(2.99002 + 5.48268i) q^{39} +(-0.582731 + 1.00932i) q^{40} +(0.495039 - 1.84751i) q^{41} +(1.98783 + 1.26969i) q^{42} +(6.15587 + 3.55410i) q^{43} +(-4.78045 + 1.28092i) q^{44} +(1.63435 + 0.797772i) q^{45} +(-1.33618 - 1.33618i) q^{46} +(1.40100 + 5.22862i) q^{47} +(4.02419 + 1.50531i) q^{48} +(2.86021 - 6.38899i) q^{49} +(2.30317 + 0.617133i) q^{50} +(10.8150 + 4.04552i) q^{51} +(-4.09472 + 4.72962i) q^{52} +(7.03136 - 4.05956i) q^{53} +(-0.760835 + 2.56404i) q^{54} +(-0.864591 - 1.49752i) q^{55} +(-1.06261 + 4.97422i) q^{56} +(-0.156776 - 0.111865i) q^{57} +(-3.47663 - 0.931561i) q^{58} +(-3.55413 + 3.55413i) q^{59} +(-0.174904 + 1.81342i) q^{60} +(-0.131398 - 0.227588i) q^{61} +(-0.643835 - 1.11516i) q^{62} +(7.85852 + 1.11518i) q^{63} +2.32492i q^{64} +(-1.96648 - 0.954224i) q^{65} +(1.96245 - 1.61720i) q^{66} +(-0.965031 - 3.60154i) q^{67} +11.5670i q^{68} +(-5.95573 - 2.22784i) q^{69} +(-0.824473 + 0.0423644i) q^{70} +(14.7028 - 3.93959i) q^{71} +(-5.75357 + 0.400490i) 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} +(0.907228 - 3.08372i) q^{78} +(2.15814 - 3.73801i) q^{79} +(-1.45255 + 0.389210i) q^{80} +(1.24689 + 8.91321i) q^{81} +(-0.852592 + 0.492244i) q^{82} +(0.495031 + 0.495031i) q^{83} +(1.71176 + 7.76463i) 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} +(-3.52724 - 2.51680i) q^{93} +(1.39310 - 2.41291i) q^{94} +0.0674085 q^{95} +(-3.67755 - 8.07305i) q^{96} +(2.12448 + 7.92867i) q^{97} +(-3.36633 + 1.28433i) q^{98} +(3.75366 - 7.68993i) 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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