LMFDB - Embedded newform 300.2.n.a.191.24

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(11,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 8]))

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

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

chi := DirichletCharacter("300.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.n (of order $10$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			191.24
Character	$\chi$	$=$	300.191
Dual form			300.2.n.a.11.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.311798 + 1.37941i) q^{2} +(1.65104 + 0.523516i) q^{3} +(-1.80556 - 0.860197i) q^{4} +(-0.573135 + 2.16137i) q^{5} +(-1.23694 + 2.11423i) q^{6} +1.39878i q^{7} +(1.74954 - 2.22241i) q^{8} +(2.45186 + 1.72869i) q^{9} +O(q^{10})$	\(q+(-0.311798 + 1.37941i) q^{2} +(1.65104 + 0.523516i) q^{3} +(-1.80556 - 0.860197i) q^{4} +(-0.573135 + 2.16137i) q^{5} +(-1.23694 + 2.11423i) q^{6} +1.39878i q^{7} +(1.74954 - 2.22241i) q^{8} +(2.45186 + 1.72869i) q^{9} +(-2.80272 - 1.46450i) q^{10} +(0.762524 + 0.554006i) q^{11} +(-2.53073 - 2.36546i) q^{12} +(-0.565071 + 0.410548i) q^{13} +(-1.92949 - 0.436136i) q^{14} +(-2.07778 + 3.26846i) q^{15} +(2.52012 + 3.10628i) q^{16} +(-7.22981 - 2.34911i) q^{17} +(-3.14907 + 2.84313i) q^{18} +(0.528622 + 0.171760i) q^{19} +(2.89403 - 3.40948i) q^{20} +(-0.732284 + 2.30944i) q^{21} +(-1.00196 + 0.879098i) q^{22} +(3.42995 + 2.49200i) q^{23} +(4.05203 - 2.75338i) q^{24} +(-4.34303 - 2.47751i) q^{25} +(-0.390127 - 0.907474i) q^{26} +(3.14312 + 4.13773i) q^{27} +(1.20323 - 2.52559i) q^{28} +(3.38995 - 1.10146i) q^{29} +(-3.86071 - 3.88522i) q^{30} +(9.35292 + 3.03895i) q^{31} +(-5.07062 + 2.50776i) q^{32} +(0.968926 + 1.31388i) q^{33} +(5.49463 - 9.24045i) q^{34} +(-3.02328 - 0.801689i) q^{35} +(-2.93998 - 5.23035i) q^{36} +(-0.815640 + 0.592597i) q^{37} +(-0.401751 + 0.675634i) q^{38} +(-1.14788 + 0.382007i) q^{39} +(3.80073 + 5.05514i) q^{40} +(-4.88230 - 6.71991i) q^{41} +(-2.95735 - 1.73020i) q^{42} -10.8752i q^{43} +(-0.900231 - 1.65621i) q^{44} +(-5.14159 + 4.30860i) q^{45} +(-4.50695 + 3.95431i) q^{46} +(1.76153 + 5.42145i) q^{47} +(2.53463 + 6.44792i) q^{48} +5.04342 q^{49} +(4.77166 - 5.21836i) q^{50} +(-10.7069 - 7.66339i) q^{51} +(1.37342 - 0.255198i) q^{52} +(4.78908 - 1.55607i) q^{53} +(-6.68766 + 3.04553i) q^{54} +(-1.63444 + 1.33058i) q^{55} +(3.10866 + 2.44722i) q^{56} +(0.782857 + 0.560325i) q^{57} +(0.462392 + 5.01958i) q^{58} +(5.62178 - 4.08446i) q^{59} +(6.56308 - 4.11411i) q^{60} +(0.0279495 + 0.0203065i) q^{61} +(-7.10819 + 11.9540i) q^{62} +(-2.41806 + 3.42961i) q^{63} +(-1.87823 - 7.77639i) q^{64} +(-0.563484 - 1.45663i) q^{65} +(-2.11449 + 0.926884i) q^{66} +(4.99301 + 1.62233i) q^{67} +(11.0332 + 10.4605i) q^{68} +(4.35837 + 5.91003i) q^{69} +(2.04851 - 3.92039i) q^{70} +(-2.97804 - 9.16545i) q^{71} +(8.13149 - 2.42463i) q^{72} +(7.64233 + 5.55248i) q^{73} +(-0.563122 - 1.30988i) q^{74} +(-5.87350 - 6.36412i) q^{75} +(-0.806714 - 0.764843i) q^{76} +(-0.774932 + 1.06660i) q^{77} +(-0.169038 - 1.70251i) q^{78} +(8.04233 - 2.61311i) q^{79} +(-8.15819 + 3.66660i) q^{80} +(3.02325 + 8.47703i) q^{81} +(10.7918 - 4.63946i) q^{82} +(-0.222751 + 0.685556i) q^{83} +(3.30876 - 3.53993i) q^{84} +(9.22094 - 14.2799i) q^{85} +(15.0014 + 3.39086i) q^{86} +(6.17358 - 0.0438621i) q^{87} +(2.56529 - 0.725387i) q^{88} +(-4.97245 + 6.84399i) q^{89} +(-4.34021 - 8.43579i) q^{90} +(-0.574266 - 0.790409i) q^{91} +(-4.04938 - 7.44990i) q^{92} +(13.8511 + 9.91383i) q^{93} +(-8.02766 + 0.739489i) q^{94} +(-0.674208 + 1.04411i) q^{95} +(-9.68464 + 1.48586i) q^{96} +(-0.529007 - 1.62812i) q^{97} +(-1.57253 + 6.95696i) q^{98} +(0.911897 + 2.67651i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{5}\right)$

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 $

$2$	−0.311798	+	1.37941i	−0.220474	+	0.975393i
$2$	−0.311798	+	1.37941i	−0.220474	+	0.975393i
$3$	1.65104	+	0.523516i	0.953228	+	0.302252i
$3$	1.65104	+	0.523516i	0.953228	+	0.302252i
$4$	−1.80556	−	0.860197i	−0.902782	−	0.430098i
$5$	−0.573135	+	2.16137i	−0.256314	+	0.966594i
$5$	−0.573135	+	2.16137i	−0.256314	+	0.966594i
$6$	−1.23694	+	2.11423i	−0.504977	+	0.863133i
$7$			1.39878i			0.528689i	0.964428	+	0.264344i	$0.0851556\pi$
$7$			1.39878i			0.528689i	−0.964428	+	0.264344i	$0.914844\pi$
$8$	1.74954	−	2.22241i	0.618555	−	0.785741i
$9$	2.45186	+	1.72869i	0.817287	+	0.576231i
$10$	−2.80272	−	1.46450i	−0.886298	−	0.463116i
$11$	0.762524	+	0.554006i	0.229910	+	0.167039i	0.696776	−	0.717289i	$-0.254617\pi$
$11$	0.762524	+	0.554006i	0.229910	+	0.167039i	−0.466866	+	0.884328i	$0.654617\pi$
$12$	−2.53073	−	2.36546i	−0.730559	−	0.682850i
$13$	−0.565071	+	0.410548i	−0.156722	+	0.113865i	−0.663383	−	0.748280i	$-0.730880\pi$
$13$	−0.565071	+	0.410548i	−0.156722	+	0.113865i	0.506660	+	0.862146i	$0.330880\pi$
$14$	−1.92949	−	0.436136i	−0.515679	−	0.116562i
$15$	−2.07778	+	3.26846i	−0.536481	+	0.843913i
$16$	2.52012	+	3.10628i	0.630031	+	0.776570i
$17$	−7.22981	−	2.34911i	−1.75349	−	0.569742i	−0.756994	−	0.653422i	$-0.773333\pi$
$17$	−7.22981	−	2.34911i	−1.75349	−	0.569742i	−0.996493	+	0.0836799i	$0.973333\pi$
$18$	−3.14907	+	2.84313i	−0.742242	+	0.670132i
$19$	0.528622	+	0.171760i	0.121274	+	0.0394044i	0.369025	−	0.929419i	$-0.379692\pi$
$19$	0.528622	+	0.171760i	0.121274	+	0.0394044i	−0.247751	+	0.968824i	$0.579692\pi$
$20$	2.89403	−	3.40948i	0.647126	−	0.762383i
$21$	−0.732284	+	2.30944i	−0.159797	+	0.503961i
$22$	−1.00196	+	0.879098i	−0.213618	+	0.187424i
$23$	3.42995	+	2.49200i	0.715193	+	0.519618i	0.884845	−	0.465886i	$-0.154264\pi$
$23$	3.42995	+	2.49200i	0.715193	+	0.519618i	−0.169652	+	0.985504i	$0.554264\pi$
$24$	4.05203	−	2.75338i	0.827116	−	0.562031i
$25$	−4.34303	−	2.47751i	−0.868607	−	0.495502i
$26$	−0.390127	−	0.907474i	−0.0765103	−	0.177970i
$27$	3.14312	+	4.13773i	0.604894	+	0.796306i
$28$	1.20323	−	2.52559i	0.227388	−	0.477291i
$29$	3.38995	−	1.10146i	0.629498	−	0.204536i	0.0231455	−	0.999732i	$-0.492632\pi$
$29$	3.38995	−	1.10146i	0.629498	−	0.204536i	0.606353	+	0.795196i	$0.292632\pi$
$30$	−3.86071	−	3.88522i	−0.704866	−	0.709340i
$31$	9.35292	+	3.03895i	1.67983	+	0.545811i	0.984879	−	0.173243i	$-0.0554245\pi$
$31$	9.35292	+	3.03895i	1.67983	+	0.545811i	0.694954	+	0.719054i	$0.255425\pi$
$32$	−5.07062	+	2.50776i	−0.896367	+	0.443314i
$33$	0.968926	+	1.31388i	0.168668	+	0.228717i
$34$	5.49463	−	9.24045i	0.942321	−	1.58472i
$35$	−3.02328	−	0.801689i	−0.511027	−	0.135510i
$36$	−2.93998	−	5.23035i	−0.489996	−	0.871725i
$37$	−0.815640	+	0.592597i	−0.134090	+	0.0974224i	−0.652809	−	0.757523i	$-0.726409\pi$
$37$	−0.815640	+	0.592597i	−0.134090	+	0.0974224i	0.518718	+	0.854945i	$0.326409\pi$
$38$	−0.401751	+	0.675634i	−0.0651726	+	0.109602i
$39$	−1.14788	+	0.382007i	−0.183808	+	0.0611701i
$40$	3.80073	+	5.05514i	0.600948	+	0.799288i
$41$	−4.88230	−	6.71991i	−0.762487	−	1.04947i	−0.997003	−	0.0773615i	$-0.975350\pi$
$41$	−4.88230	−	6.71991i	−0.762487	−	1.04947i	0.234516	−	0.972112i	$-0.424650\pi$
$42$	−2.95735	−	1.73020i	−0.456329	−	0.266976i
$43$		−	10.8752i		−	1.65845i	−0.558914	−	0.829225i	$-0.688782\pi$
$43$		−	10.8752i		−	1.65845i	0.558914	−	0.829225i	$-0.311218\pi$
$44$	−0.900231	−	1.65621i	−0.135715	−	0.249684i
$45$	−5.14159	+	4.30860i	−0.766463	+	0.642289i
$46$	−4.50695	+	3.95431i	−0.664514	+	0.583032i
$47$	1.76153	+	5.42145i	0.256946	+	0.790799i	0.993440	+	0.114355i	$0.0364801\pi$
$47$	1.76153	+	5.42145i	0.256946	+	0.790799i	−0.736494	+	0.676444i	$0.763520\pi$
$48$	2.53463	+	6.44792i	0.365843	+	0.930677i
$49$	5.04342			0.720488
$50$	4.77166	−	5.21836i	0.674815	−	0.737987i
$51$	−10.7069	−	7.66339i	−1.49927	−	1.07309i
$52$	1.37342	−	0.255198i	0.190460	−	0.0353897i
$53$	4.78908	−	1.55607i	0.657831	−	0.213742i	0.0389672	−	0.999240i	$-0.487593\pi$
$53$	4.78908	−	1.55607i	0.657831	−	0.213742i	0.618864	+	0.785498i	$0.287593\pi$
$54$	−6.68766	+	3.04553i	−0.910075	+	0.414444i
$55$	−1.63444	+	1.33058i	−0.220388	+	0.179415i
$56$	3.10866	+	2.44722i	0.415413	+	0.327023i
$57$	0.782857	+	0.560325i	0.103692	+	0.0742168i
$58$	0.462392	+	5.01958i	0.0607150	+	0.659103i
$59$	5.62178	−	4.08446i	0.731894	−	0.531752i	−0.158268	−	0.987396i	$-0.550591\pi$
$59$	5.62178	−	4.08446i	0.731894	−	0.531752i	0.890162	+	0.455644i	$0.150591\pi$
$60$	6.56308	−	4.11411i	0.847290	−	0.531130i
$61$	0.0279495	+	0.0203065i	0.00357856	+	0.00259998i	0.589573	−	0.807715i	$-0.299296\pi$
$61$	0.0279495	+	0.0203065i	0.00357856	+	0.00259998i	−0.585995	+	0.810315i	$0.699296\pi$
$62$	−7.10819	+	11.9540i	−0.902741	+	1.51816i
$63$	−2.41806	+	3.42961i	−0.304647	+	0.432091i
$64$	−1.87823	−	7.77639i	−0.234779	−	0.972049i
$65$	−0.563484	−	1.45663i	−0.0698916	−	0.180672i
$66$	−2.11449	+	0.926884i	−0.260276	+	0.114092i
$67$	4.99301	+	1.62233i	0.609993	+	0.198199i	0.597692	−	0.801726i	$-0.296084\pi$
$67$	4.99301	+	1.62233i	0.609993	+	0.198199i	0.0123008	+	0.999924i	$0.496084\pi$
$68$	11.0332	+	10.4605i	1.33797	+	1.26852i
$69$	4.35837	+	5.91003i	0.524686	+	0.711484i
$70$	2.04851	−	3.92039i	0.244844	−	0.468576i
$71$	−2.97804	−	9.16545i	−0.353428	−	1.08774i	−0.956916	−	0.290366i	$-0.906223\pi$
$71$	−2.97804	−	9.16545i	−0.353428	−	1.08774i	0.603488	−	0.797372i	$-0.293777\pi$
$72$	8.13149	−	2.42463i	0.958305	−	0.285746i
$73$	7.64233	+	5.55248i	0.894467	+	0.649868i	0.937039	−	0.349225i	$-0.113555\pi$
$73$	7.64233	+	5.55248i	0.894467	+	0.649868i	−0.0425719	+	0.999093i	$0.513555\pi$
$74$	−0.563122	−	1.30988i	−0.0654616	−	0.152270i
$75$	−5.87350	−	6.36412i	−0.678213	−	0.734865i
$76$	−0.806714	−	0.764843i	−0.0925365	−	0.0877335i
$77$	−0.774932	+	1.06660i	−0.0883117	+	0.121551i
$78$	−0.169038	−	1.70251i	−0.0191398	−	0.192772i
$79$	8.04233	−	2.61311i	0.904833	−	0.293998i	0.180603	−	0.983556i	$-0.442195\pi$
$79$	8.04233	−	2.61311i	0.904833	−	0.293998i	0.724230	+	0.689558i	$0.242195\pi$
$80$	−8.15819	+	3.66660i	−0.912113	+	0.409938i
$81$	3.02325	+	8.47703i	0.335916	+	0.941892i
$82$	10.7918	−	4.63946i	1.19176	−	0.512342i
$83$	−0.222751	+	0.685556i	−0.0244501	+	0.0752495i	−0.962537	−	0.271150i	$-0.912596\pi$
$83$	−0.222751	+	0.685556i	−0.0244501	+	0.0752495i	0.938087	+	0.346400i	$0.112596\pi$
$84$	3.30876	−	3.53993i	0.361015	−	0.386238i
$85$	9.22094	−	14.2799i	1.00015	−	1.54888i
$86$	15.0014	+	3.39086i	1.61764	+	0.365646i
$87$	6.17358	−	0.0438621i	0.661877	−	0.00470251i
$88$	2.56529	−	0.725387i	0.273461	−	0.0773266i
$89$	−4.97245	+	6.84399i	−0.527078	+	0.725461i	−0.986682	−	0.162663i	$-0.947992\pi$
$89$	−4.97245	+	6.84399i	−0.527078	+	0.725461i	0.459603	+	0.888124i	$0.347992\pi$
$90$	−4.34021	−	8.43579i	−0.457498	−	0.889210i
$91$	−0.574266	−	0.790409i	−0.0601994	−	0.0828574i
$92$	−4.04938	−	7.44990i	−0.422177	−	0.776706i
$93$	13.8511	+	9.91383i	1.43629	+	1.02802i
$94$	−8.02766	+	0.739489i	−0.827990	+	0.0762725i
$95$	−0.674208	+	1.04411i	−0.0691723	+	0.107123i
$96$	−9.68464	+	1.48586i	−0.988434	+	0.151650i
$97$	−0.529007	−	1.62812i	−0.0537125	−	0.165310i	0.920602	−	0.390503i	$-0.127699\pi$
$97$	−0.529007	−	1.62812i	−0.0537125	−	0.165310i	−0.974314	+	0.225193i	$0.927699\pi$
$98$	−1.57253	+	6.95696i	−0.158849	+	0.702759i
$99$	0.911897	+	2.67651i	0.0916491	+	0.269000i
$100$	5.71048	+	8.20917i	0.571048	+	0.820917i
$101$		−	11.0445i		−	1.09896i	−0.835505	−	0.549482i	$-0.814825\pi$
$101$		−	11.0445i		−	1.09896i	0.835505	−	0.549482i	$-0.185175\pi$
$102$	13.9094	−	12.3798i	1.37723	−	1.22578i
$103$	−15.1217	+	4.91333i	−1.48998	+	0.484125i	−0.937078	−	0.349120i	$-0.886481\pi$
$103$	−15.1217	+	4.91333i	−1.48998	+	0.484125i	−0.552904	+	0.833245i	$0.686481\pi$
$104$	−0.0762063	+	1.97409i	−0.00747264	+	0.193575i
$105$	−4.57185	−	2.90636i	−0.446167	−	0.283631i
$106$	0.653234	+	7.09131i	0.0634477	+	0.688769i
$107$	1.60413			0.155077			0.0775386	−	0.996989i	$-0.475294\pi$
$107$	1.60413			0.155077			0.0775386	+	0.996989i	$0.475294\pi$
$108$	−2.11585	−	10.1746i	−0.203597	−	0.979055i
$109$	−7.49038	+	5.44208i	−0.717448	+	0.521256i	−0.885568	−	0.464510i	$-0.846230\pi$
$109$	−7.49038	+	5.44208i	−0.717448	+	0.521256i	0.168120	+	0.985767i	$0.446230\pi$
$110$	−1.32580	−	2.66944i	−0.126410	−	0.254521i
$111$	−1.65689	+	0.551401i	−0.157265	+	0.0523366i
$112$	−4.34500	+	3.52510i	−0.410564	+	0.333090i
$113$	−7.66663	−	10.5522i	−0.721216	−	0.992669i	−0.999483	−	0.0321650i	$-0.989760\pi$
$113$	−7.66663	−	10.5522i	−0.721216	−	0.992669i	0.278266	−	0.960504i	$-0.410240\pi$
$114$	−1.01701	+	0.905176i	−0.0952520	+	0.0847775i
$115$	−7.35196	+	5.98513i	−0.685574	+	0.558116i
$116$	−7.06825	−	0.927266i	−0.656271	−	0.0860944i
$117$	−2.09519	+	0.0297733i	−0.193700	+	0.00275254i
$118$	3.88130	+	9.02829i	0.357303	+	0.831121i
$119$	3.28588	−	10.1129i	0.301216	−	0.927049i
$120$	3.62871	+	10.3360i	0.331254	+	0.943542i
$121$	−3.12467	−	9.61674i	−0.284061	−	0.874249i
$122$	−0.0367256	+	0.0322224i	−0.00332498	+	0.00291728i
$123$	−4.54289	−	13.6508i	−0.409618	−	1.23085i
$124$	−14.2732	−	13.5324i	−1.28177	−	1.21524i
$125$	7.84396	−	7.96695i	0.701585	−	0.712586i
$126$	−3.97691	−	4.40485i	−0.354291	−	0.392415i
$127$	−12.0521	+	16.5882i	−1.06945	+	1.47197i	−0.198813	+	0.980038i	$0.563708\pi$
$127$	−12.0521	+	16.5882i	−1.06945	+	1.47197i	−0.870635	+	0.491930i	$0.836292\pi$
$128$	11.3125	−	0.166194i	0.999892	−	0.0146897i
$129$	5.69334	−	17.9554i	0.501271	−	1.58088i
$130$	2.18498	−	0.323104i	0.191636	−	0.0283381i
$131$	−0.495761	+	1.52580i	−0.0433149	+	0.133309i	−0.970375	−	0.241602i	$-0.922327\pi$
$131$	−0.495761	+	1.52580i	−0.0433149	+	0.133309i	0.927060	+	0.374912i	$0.122327\pi$
$132$	−0.619263	−	3.20576i	−0.0538999	−	0.279026i
$133$	−0.240254	+	0.739426i	−0.0208327	+	0.0641163i
$134$	−3.79467	+	6.38159i	−0.327810	+	0.551285i
$135$	−10.7446	+	4.42197i	−0.924747	+	0.380582i
$136$	−17.8695	+	11.9578i	−1.53230	+	1.02537i
$137$	8.88623	+	12.2308i	0.759202	+	1.04495i	0.997280	+	0.0737058i	$0.0234826\pi$
$137$	8.88623	+	12.2308i	0.759202	+	1.04495i	−0.238078	+	0.971246i	$0.576517\pi$
$138$	−9.51130	+	4.16926i	−0.809656	+	0.354911i
$139$	−1.83329	+	2.52331i	−0.155498	+	0.214024i	−0.879657	−	0.475608i	$-0.842228\pi$
$139$	−1.83329	+	2.52331i	−0.155498	+	0.214024i	0.724159	+	0.689633i	$0.242228\pi$
$140$	4.76911	+	4.04811i	0.403063	+	0.342128i
$141$	0.0701472	+	9.87321i	0.00590746	+	0.831474i
$142$	13.5715	−	1.25017i	1.13889	−	0.104912i
$143$	−0.658326			−0.0550520
$144$	0.809189	+	11.9727i	0.0674324	+	0.997724i
$145$	0.437767	+	7.95823i	0.0363546	+	0.660895i
$146$	−10.0420	+	8.81068i	−0.831084	+	0.729177i
$147$	8.32688	+	2.64031i	0.686789	+	0.217769i
$148$	1.98244	−	0.368361i	0.162956	−	0.0302791i
$149$		−	3.67430i		−	0.301010i	−0.988609	−	0.150505i	$-0.951910\pi$
$149$		−	3.67430i		−	0.301010i	0.988609	−	0.150505i	$-0.0480900\pi$
$150$	10.6101	−	6.11767i	0.866311	−	0.499505i
$151$		−	0.209140i		−	0.0170196i	−0.999964	−	0.00850978i	$-0.997291\pi$
$151$		−	0.209140i		−	0.0170196i	0.999964	−	0.00850978i	$-0.00270878\pi$
$152$	1.30657	−	0.874316i	0.105977	−	0.0709164i
$153$	−13.6656	−	18.2578i	−1.10480	−	1.47606i
$154$	−1.22966	−	1.40152i	−0.0990891	−	0.112937i
$155$	−11.9288	+	18.4734i	−0.958142	+	1.48382i
$156$	2.40118	+	0.297667i	0.192248	+	0.0238324i
$157$	−18.9560			−1.51286			−0.756429	−	0.654076i	$-0.773058\pi$
$157$	−18.9560			−1.51286			−0.756429	+	0.654076i	$0.773058\pi$
$158$	1.09698	+	11.9085i	0.0872710	+	0.947387i
$159$	8.72159	−	0.0619652i	0.691667	−	0.00491416i
$160$	−2.51405	−	12.3968i	−0.198753	−	0.980050i
$161$	−3.48576	+	4.79774i	−0.274716	+	0.378115i
$162$	−12.6360	+	1.52719i	−0.992775	+	0.119987i
$163$	−10.7412	−	14.7840i	−0.841316	−	1.15797i	−0.985710	−	0.168452i	$-0.946123\pi$
$163$	−10.7412	−	14.7840i	−0.841316	−	1.15797i	0.144394	−	0.989520i	$-0.453877\pi$
$164$	3.03486	+	16.3330i	0.236983	+	1.27539i
$165$	−3.39510	+	1.34118i	−0.264308	+	0.104410i
$166$	−0.876212	−	0.521020i	−0.0680072	−	0.0404390i
$167$	1.73690	−	5.34563i	0.134405	−	0.413657i	−0.861092	−	0.508450i	$-0.830219\pi$
$167$	1.73690	−	5.34563i	0.134405	−	0.413657i	0.995497	+	0.0947924i	$0.0302187\pi$
$168$	3.85137	+	5.66789i	0.297139	+	0.437287i
$169$	−3.86647	+	11.8998i	−0.297420	+	0.915366i
$170$	16.8229	+	17.1720i	1.29025	+	1.31703i
$171$	0.999189	+	1.33496i	0.0764099	+	0.102087i
$172$	−9.35480	+	19.6359i	−0.713297	+	1.49722i
$173$	−1.26475	+	1.74077i	−0.0961569	+	0.132349i	−0.854384	−	0.519641i	$-0.826066\pi$
$173$	−1.26475	+	1.74077i	−0.0961569	+	0.132349i	0.758228	+	0.651990i	$0.226066\pi$
$174$	−1.86441	+	8.52960i	−0.141340	+	0.646627i
$175$	3.46549	−	6.07494i	0.261967	−	0.459223i
$176$	0.200756	+	3.76478i	0.0151325	+	0.283781i
$177$	11.4201	−	3.80051i	0.858385	−	0.285664i
$178$	−7.89029	−	8.99300i	−0.591402	−	0.674054i
$179$	−6.90402	−	21.2484i	−0.516030	−	1.58818i	−0.781399	−	0.624031i	$-0.785494\pi$
$179$	−6.90402	−	21.2484i	−0.516030	−	1.58818i	0.265369	−	0.964147i	$-0.414506\pi$
$180$	12.9897	−	3.35668i	0.968196	−	0.250192i
$181$	−2.28093	+	7.01999i	−0.169541	+	0.521792i	−0.999342	−	0.0362664i	$-0.988454\pi$
$181$	−2.28093	+	7.01999i	−0.169541	+	0.521792i	0.829802	+	0.558058i	$0.188454\pi$
$182$	1.26936	−	0.545702i	0.0940909	−	0.0404501i
$183$	0.0355149	+	0.0481588i	0.00262534	+	0.00356000i
$184$	11.5391	−	3.26290i	0.850672	−	0.240544i
$185$	−0.813350	−	2.10254i	−0.0597987	−	0.154582i
$186$	−17.9940	+	16.0153i	−1.31938	+	1.17430i
$187$	−4.21148	−	5.79661i	−0.307974	−	0.423890i
$188$	1.48295	−	11.3040i	0.108155	−	0.824431i
$189$	−5.78777	+	4.39653i	−0.420998	+	0.319801i
$190$	−1.23004	−	1.25556i	−0.0892363	−	0.0910881i
$191$	12.7156	−	9.23842i	0.920068	−	0.668468i	−0.0234732	−	0.999724i	$-0.507472\pi$
$191$	12.7156	−	9.23842i	0.920068	−	0.668468i	0.943541	+	0.331256i	$0.107472\pi$
$192$	0.970034	−	13.8224i	0.0700062	−	0.997547i
$193$	−15.6109			−1.12370			−0.561848	−	0.827241i	$-0.689909\pi$
$193$	−15.6109			−1.12370			−0.561848	+	0.827241i	$0.689909\pi$
$194$	2.41079	−	0.222076i	0.173085	−	0.0159441i
$195$	−0.167767	−	2.69994i	−0.0120140	−	0.193347i
$196$	−9.10621	−	4.33833i	−0.650444	−	0.309881i
$197$	−5.36177	+	1.74214i	−0.382010	+	0.124123i	−0.493726	−	0.869618i	$-0.664365\pi$
$197$	−5.36177	+	1.74214i	−0.382010	+	0.124123i	0.111716	+	0.993740i	$0.464365\pi$
$198$	−3.97635	+	0.423351i	−0.282587	+	0.0300863i
$199$			11.8649i			0.841079i	0.907274	+	0.420539i	$0.138159\pi$
$199$			11.8649i			0.841079i	−0.907274	+	0.420539i	$0.861841\pi$
$200$	−13.1044	+	5.31751i	−0.926618	+	0.376005i
$201$	7.39434	+	5.29245i	0.521556	+	0.373300i
$202$	15.2349	+	3.44364i	1.07192	+	0.242294i
$203$	1.54070	+	4.74179i	0.108136	+	0.332809i
$204$	12.7400	+	23.0468i	0.891977	+	1.61360i
$205$	17.3224	−	6.70104i	1.20985	−	0.468021i
$206$	−2.06261	−	22.3910i	−0.143709	−	1.56006i
$207$	4.10185	+	12.0394i	0.285098	+	0.836794i
$208$	−2.69932	−	0.720637i	−0.187164	−	0.0499672i
$209$	0.307931	+	0.423831i	0.0213000	+	0.0293170i
$210$	5.43456	−	5.40028i	0.375020	−	0.372655i
$211$	9.31894	−	12.8264i	0.641542	−	0.883007i	−0.357154	−	0.934045i	$-0.616253\pi$
$211$	9.31894	−	12.8264i	0.641542	−	0.883007i	0.998697	+	0.0510380i	$0.0162530\pi$
$212$	−9.98552	−	1.30997i	−0.685808	−	0.0899694i
$213$	−0.118590	−	16.6916i	−0.00812568	−	1.14369i
$214$	−0.500165	+	2.21276i	−0.0341906	+	0.151261i
$215$	23.5053	+	6.23295i	1.60305	+	0.425084i
$216$	14.6947	+	0.253804i	0.999851	+	0.0172692i
$217$	−4.25082	+	13.0827i	−0.288564	+	0.888109i
$218$	−5.17139	−	12.0292i	−0.350251	−	0.814717i
$219$	9.71097	+	13.1682i	0.656207	+	0.889827i
$220$	4.09564	−	0.996499i	0.276128	−	0.0671839i
$221$	5.04977	−	1.64077i	0.339685	−	0.110370i
$222$	−0.243995	−	2.45746i	−0.0163759	−	0.164934i
$223$	9.36149	−	12.8850i	0.626892	−	0.862842i	−0.370940	−	0.928657i	$-0.620964\pi$
$223$	9.36149	−	12.8850i	0.626892	−	0.862842i	0.997832	+	0.0658143i	$0.0209645\pi$
$224$	−3.50780	−	7.09267i	−0.234375	−	0.473899i
$225$	−6.36566	−	13.5823i	−0.424377	−	0.905485i
$226$	16.9463	−	7.28530i	1.12725	−	0.484611i
$227$	−13.4994	−	9.80788i	−0.895986	−	0.650972i	0.0414460	−	0.999141i	$-0.486804\pi$
$227$	−13.4994	−	9.80788i	−0.895986	−	0.650972i	−0.937432	+	0.348169i	$0.886804\pi$
$228$	−0.931509	−	1.68511i	−0.0616907	−	0.111599i
$229$	−2.45293	−	7.54935i	−0.162094	−	0.498875i	0.836716	−	0.547637i	$-0.184472\pi$
$229$	−2.45293	−	7.54935i	−0.162094	−	0.498875i	−0.998810	+	0.0487618i	$0.984472\pi$
$230$	−5.96364	−	12.0075i	−0.393231	−	0.791754i
$231$	−1.83783	+	1.35531i	−0.120920	+	0.0891730i
$232$	3.48295	−	9.46092i	0.228667	−	0.621140i
$233$	3.56864	+	1.15952i	0.233789	+	0.0759628i	0.423569	−	0.905864i	$-0.360777\pi$
$233$	3.56864	+	1.15952i	0.233789	+	0.0759628i	−0.189779	+	0.981827i	$0.560777\pi$
$234$	0.612205	−	2.89941i	0.0400211	−	0.189540i
$235$	−12.7273	+	0.700107i	−0.830240	+	0.0456700i
$236$	−13.6639	+	2.53892i	−0.889446	+	0.165270i
$237$	14.6462	−	0.104059i	0.951374	−	0.00675933i
$238$	12.9253	+	7.68577i	0.837826	+	0.498195i
$239$	10.2168	+	7.42294i	0.660870	+	0.480150i	0.866956	−	0.498384i	$-0.166073\pi$
$239$	10.2168	+	7.42294i	0.660870	+	0.480150i	−0.206087	+	0.978534i	$0.566073\pi$
$240$	−15.3890	+	1.78275i	−0.993357	+	0.115076i
$241$	12.1828	−	8.85135i	0.784765	−	0.570165i	−0.121640	−	0.992574i	$-0.538815\pi$
$241$	12.1828	−	8.85135i	0.784765	−	0.570165i	0.906405	+	0.422409i	$0.138815\pi$
$242$	14.2397	−	1.31173i	0.915364	−	0.0843212i
$243$	0.553639	+	15.5786i	0.0355160	+	0.999369i
$244$	−0.0329970	−	0.0607067i	−0.00211242	−	0.00388635i
$245$	−2.89056	+	10.9007i	−0.184671	+	0.696419i
$246$	20.2466	−	2.01023i	1.29087	−	0.128168i
$247$	−0.369225	+	0.119968i	−0.0234932	+	0.00763340i
$248$	23.1171	−	15.4693i	1.46794	−	0.982300i
$249$	−0.726670	+	1.01527i	−0.0460508	+	0.0643399i
$250$	8.54399	+	13.3041i	0.540369	+	0.841428i
$251$	−19.7188			−1.24464			−0.622319	−	0.782764i	$-0.713809\pi$
$251$	−19.7188			−1.24464			−0.622319	+	0.782764i	$0.713809\pi$
$252$	7.31610	−	4.11238i	0.460871	−	0.259055i
$253$	1.23483	+	3.80042i	0.0776332	+	0.238931i
$254$	−19.1242	−	21.7970i	−1.19996	−	1.36766i
$255$	22.6999	−	18.7494i	1.42152	−	1.17413i
$256$	−3.29796	+	15.6564i	−0.206122	+	0.978526i
$257$			10.0613i			0.627609i	0.949488	+	0.313804i	$0.101604\pi$
$257$			10.0613i			0.627609i	−0.949488	+	0.313804i	$0.898396\pi$
$258$	22.9927	+	13.4519i	1.43146	+	0.837480i
$259$	−0.828913	−	1.14090i	−0.0515061	−	0.0708921i
$260$	−0.235578	+	3.11474i	−0.0146100	+	0.193168i
$261$	10.2158	+	3.15955i	0.632341	+	0.195571i
$262$	−1.95013	−	1.15960i	−0.120479	−	0.0716403i
$263$	−23.2025	+	16.8576i	−1.43073	+	1.03948i	−0.440845	+	0.897583i	$0.645321\pi$
$263$	−23.2025	+	16.8576i	−1.43073	+	1.03948i	−0.989881	+	0.141900i	$0.954679\pi$
$264$	4.61515	+	0.145330i	0.284043	+	0.00894447i
$265$	0.618446	+	11.2428i	0.0379908	+	0.690641i
$266$	−0.945063	−	0.561961i	−0.0579456	−	0.0344560i
$267$	−11.7926	+	8.69653i	−0.721698	+	0.532219i
$268$	−7.61968	−	7.22418i	−0.465446	−	0.441287i
$269$	−21.3955	−	6.95183i	−1.30451	−	0.423861i	−0.427361	−	0.904081i	$-0.640557\pi$
$269$	−21.3955	−	6.95183i	−1.30451	−	0.423861i	−0.877148	+	0.480220i	$0.840557\pi$
$270$	−2.74958	−	16.2000i	−0.167334	−	0.985900i
$271$	−2.25103	+	0.731404i	−0.136740	+	0.0444297i	−0.376588	−	0.926381i	$-0.622903\pi$
$271$	−2.25103	+	0.731404i	−0.136740	+	0.0444297i	0.239847	+	0.970811i	$0.422903\pi$
$272$	−10.9230	−	28.3779i	−0.662306	−	1.72066i
$273$	−0.534343	−	1.60563i	−0.0323399	−	0.0971774i
$274$	−19.6421	+	8.44423i	−1.18662	+	0.510135i
$275$	−1.93911	−	4.29523i	−0.116933	−	0.259012i
$276$	−2.78554	−	14.4200i	−0.167670	−	0.867981i
$277$	−11.0147	−	8.00263i	−0.661808	−	0.480831i	0.205465	−	0.978664i	$-0.434129\pi$
$277$	−11.0147	−	8.00263i	−0.661808	−	0.480831i	−0.867273	+	0.497833i	$0.834129\pi$
$278$	−2.90907	−	3.31563i	−0.174474	−	0.198858i
$279$	17.6787	+	23.6194i	1.05839	+	1.41406i
$280$	−7.07102	+	5.31638i	−0.422574	+	0.317715i
$281$	20.5337	+	6.67182i	1.22494	+	0.398007i	0.848879	−	0.528587i	$-0.177278\pi$
$281$	20.5337	+	6.67182i	1.22494	+	0.398007i	0.376062	+	0.926595i	$0.377278\pi$
$282$	−13.6411	−	2.98169i	−0.812317	−	0.177557i
$283$	8.14044	+	2.64499i	0.483899	+	0.157228i	0.540800	−	0.841152i	$-0.318122\pi$
$283$	8.14044	+	2.64499i	0.483899	+	0.157228i	−0.0569005	+	0.998380i	$0.518122\pi$
$284$	−2.50706	+	19.1105i	−0.148766	+	1.13400i
$285$	−1.65975	+	1.37090i	−0.0983152	+	0.0812052i
$286$	0.205265	−	0.908104i	0.0121376	−	0.0536973i
$287$	9.39967	−	6.82926i	0.554845	−	0.403119i
$288$	−16.7676	−	2.61685i	−0.988040	−	0.154200i
$289$	32.9986	+	23.9749i	1.94109	+	1.41029i
$290$	−11.1142	−	1.87750i	−0.652647	−	0.110250i
$291$	−0.0210659	−	2.96503i	−0.00123491	−	0.173813i
$292$	−9.02249	−	16.5993i	−0.528001	−	0.971398i
$293$			1.06473i			0.0622019i	0.999516	+	0.0311010i	$0.00990134\pi$
$293$			1.06473i			0.0622019i	−0.999516	+	0.0311010i	$0.990099\pi$
$294$	−6.23839	+	10.6630i	−0.363830	+	0.621877i
$295$	5.60599	+	14.4917i	0.326394	+	0.843739i
$296$	−0.109998	+	2.84946i	−0.00639353	+	0.165622i
$297$	0.104378	+	4.89642i	0.00605665	+	0.284119i
$298$	5.06837	+	1.14564i	0.293603	+	0.0663650i
$299$	−2.96125			−0.171253
$300$	5.13059	+	16.5432i	0.296215	+	0.955121i
$301$	15.2120			0.876804
$302$	0.288490	+	0.0652094i	0.0166008	+	0.00375238i
$303$	5.78196	−	18.2348i	0.332165	−	1.04756i
$304$	0.798659	+	2.07491i	0.0458062	+	0.119004i
$305$	−0.0599086	+	0.0487708i	−0.00343036	+	0.00279261i
$306$	29.4460	−	13.1578i	1.68331	−	0.752180i
$307$		−	19.3540i		−	1.10459i	−0.833648	−	0.552297i	$-0.813752\pi$
$307$		−	19.3540i		−	1.10459i	0.833648	−	0.552297i	$-0.186248\pi$
$308$	2.31668	−	1.25922i	0.132005	−	0.0717510i
$309$	−27.5387	+	0.195657i	−1.56662	+	0.0111305i
$310$	−21.7631	−	22.2147i	−1.23606	−	1.26171i
$311$	19.1282	+	13.8975i	1.08466	+	0.788053i	0.978490	−	0.206294i	$-0.0661404\pi$
$311$	19.1282	+	13.8975i	1.08466	+	0.788053i	0.106173	+	0.994348i	$0.466140\pi$
$312$	−1.15929	+	3.21940i	−0.0656317	+	0.182263i
$313$	−8.55797	+	6.21773i	−0.483725	+	0.351447i	−0.802766	−	0.596294i	$-0.796639\pi$
$313$	−8.55797	+	6.21773i	−0.483725	+	0.351447i	0.319041	+	0.947741i	$0.396639\pi$
$314$	5.91046	−	26.1482i	0.333546	−	1.47563i
$315$	−6.02678	−	7.19195i	−0.339571	−	0.405220i
$316$	−16.7687	−	2.19985i	−0.943315	−	0.123751i
$317$	9.10169	+	2.95732i	0.511202	+	0.166100i	0.553249	−	0.833016i	$-0.313388\pi$
$317$	9.10169	+	2.95732i	0.511202	+	0.166100i	−0.0420468	+	0.999116i	$0.513388\pi$
$318$	−2.63390	+	12.0500i	−0.147702	+	0.675731i
$319$	3.19514	+	1.03816i	0.178893	+	0.0581260i
$320$	17.8841	+	0.397370i	0.999753	+	0.0222136i
$321$	2.64848	+	0.839789i	0.147824	+	0.0468725i
$322$	−5.53121	−	6.30423i	−0.308242	−	0.351321i
$323$	−3.41836	−	2.48358i	−0.190202	−	0.138190i
$324$	1.83324	−	17.9064i	0.101847	−	0.994800i
$325$	3.47126	−	0.383054i	0.192551	−	0.0212480i
$326$	23.7423	−	10.2069i	1.31497	−	0.565310i
$327$	−15.2159	+	5.06375i	−0.841442	+	0.280026i
$328$	−23.4762	−	0.906257i	−1.29626	−	0.0500397i
$329$	−7.58340	+	2.46400i	−0.418087	+	0.135845i
$330$	−0.791450	−	5.10143i	−0.0435679	−	0.280824i
$331$	26.9626	+	8.76070i	1.48200	+	0.481531i	0.934710	−	0.355411i	$-0.115659\pi$
$331$	26.9626	+	8.76070i	1.48200	+	0.481531i	0.547291	+	0.836942i	$0.315659\pi$
$332$	0.991903	−	1.04621i	0.0544378	−	0.0574180i
$333$	−3.02426	+	0.0429757i	−0.165728	+	0.00235505i
$334$	6.83228	+	4.06266i	0.373846	+	0.222299i
$335$	−6.36811	+	9.86192i	−0.347927	+	0.538814i
$336$	−9.01921	+	3.54539i	−0.492038	+	0.193417i
$337$	12.2835	−	8.92450i	0.669126	−	0.486149i	−0.200606	−	0.979672i	$-0.564291\pi$
$337$	12.2835	−	8.92450i	0.669126	−	0.486149i	0.869733	+	0.493523i	$0.164291\pi$
$338$	−15.2091	−	9.04378i	−0.827268	−	0.491917i
$339$	−7.13366	−	21.4357i	−0.387447	−	1.16423i
$340$	−28.9326	+	17.8515i	−1.56909	+	0.968134i
$341$	5.44823	+	7.49884i	0.295038	+	0.406085i
$342$	−2.15300	+	0.962058i	−0.116421	+	0.0520221i
$343$			16.8461i			0.909603i
$344$	−24.1692	−	19.0266i	−1.30311	−	1.02584i
$345$	−15.2717	+	6.03281i	−0.822200	+	0.324796i
$346$	−2.00690	−	2.28738i	−0.107892	−	0.122970i
$347$	5.16065	+	15.8829i	0.277038	+	0.852636i	0.988673	+	0.150087i	$0.0479552\pi$
$347$	5.16065	+	15.8829i	0.277038	+	0.852636i	−0.711634	+	0.702550i	$0.752045\pi$
$348$	−11.1845	−	5.23130i	−0.599553	−	0.280427i
$349$	−0.749233			−0.0401055			−0.0200528	−	0.999799i	$-0.506383\pi$
$349$	−0.749233			−0.0401055			−0.0200528	+	0.999799i	$0.506383\pi$
$350$	7.29933	+	6.67450i	0.390165	+	0.356767i
$351$	−3.47482	−	1.04771i	−0.185472	−	0.0559225i
$352$	−5.25578	−	0.896924i	−0.280134	−	0.0478062i
$353$	16.0086	−	5.20152i	0.852054	−	0.276849i	0.149748	−	0.988724i	$-0.452154\pi$
$353$	16.0086	−	5.20152i	0.852054	−	0.276849i	0.702306	+	0.711875i	$0.252154\pi$
$354$	1.68173	+	16.9380i	0.0893829	+	0.900244i
$355$	21.5167	−	1.18360i	1.14199	−	0.0628187i
$356$	14.8652	−	8.07997i	0.787857	−	0.428238i
$357$	10.7194	−	14.9766i	0.567330	−	0.792645i
$358$	31.4630	−	2.89829i	1.66287	−	0.153180i
$359$	−19.2899	+	14.0150i	−1.01808	+	0.739681i	−0.965889	−	0.258956i	$-0.916622\pi$
$359$	−19.2899	+	14.0150i	−1.01808	+	0.739681i	−0.0521945	+	0.998637i	$0.516622\pi$
$360$	0.580087	+	18.9648i	0.0305732	+	0.999533i
$361$	−15.1214	−	10.9863i	−0.795862	−	0.578228i
$362$	−8.97228	−	5.33517i	−0.471573	−	0.280410i
$363$	−0.124429	−	17.5134i	−0.00653085	−	0.919216i
$364$	0.356966	+	1.92112i	0.0187101	+	0.100694i
$365$	−16.3810	+	13.3356i	−0.857423	+	0.698016i
$366$	−0.0775044	+	0.0339739i	−0.00405122	+	0.00177585i
$367$	12.8458	+	4.17386i	0.670546	+	0.217873i	0.624451	−	0.781064i	$-0.285323\pi$
$367$	12.8458	+	4.17386i	0.670546	+	0.217873i	0.0460942	+	0.998937i	$0.485323\pi$
$368$	0.903029	+	16.9345i	0.0470737	+	0.882773i
$369$	−0.354069	−	24.9163i	−0.0184321	−	1.29709i
$370$	3.15387	−	0.466379i	0.163962	−	0.0242459i
$371$	2.17659	+	6.69887i	0.113003	+	0.347788i
$372$	−16.4812	−	29.8147i	−0.854510	−	1.54582i
$373$	5.22690	+	3.79756i	0.270638	+	0.196630i	0.714824	−	0.699305i	$-0.246507\pi$
$373$	5.22690	+	3.79756i	0.270638	+	0.196630i	−0.444185	+	0.895935i	$0.646507\pi$
$374$	9.30905	−	4.00201i	0.481360	−	0.206939i
$375$	17.1215	−	9.04730i	0.884151	−	0.467201i
$376$	15.1306	+	5.57017i	0.780299	+	0.287260i
$377$	−1.46336	+	2.01414i	−0.0753669	+	0.103734i
$378$	−4.26002	−	9.35455i	−0.219112	−	0.481146i
$379$	−7.78474	+	2.52941i	−0.399875	+	0.129927i	−0.502049	−	0.864839i	$-0.667420\pi$
$379$	−7.78474	+	2.52941i	−0.399875	+	0.129927i	0.102174	+	0.994767i	$0.467420\pi$
$380$	2.11546	−	1.30525i	0.108521	−	0.0669579i
$381$	−28.5826	+	21.0784i	−1.46433	+	1.07988i
$382$	8.77890	+	20.4206i	0.449168	+	1.04481i
$383$	3.02099	−	9.29766i	0.154366	−	0.475088i	−0.843731	−	0.536767i	$-0.819645\pi$
$383$	3.02099	−	9.29766i	0.154366	−	0.475088i	0.998096	+	0.0616787i	$0.0196454\pi$
$384$	18.7644	+	5.64788i	0.957565	+	0.288217i
$385$	−1.86118	−	2.28622i	−0.0948546	−	0.116517i
$386$	4.86744	−	21.5339i	0.247746	−	1.09604i
$387$	18.7999	−	26.6645i	0.955650	−	1.35543i
$388$	−0.445344	+	3.39472i	−0.0226089	+	0.172341i
$389$	7.93797	−	10.9257i	0.402471	−	0.553954i	−0.558891	−	0.829241i	$-0.688773\pi$
$389$	7.93797	−	10.9257i	0.402471	−	0.553954i	0.961362	+	0.275287i	$0.0887729\pi$
$390$	3.77664	+	0.610416i	0.191238	+	0.0309096i
$391$	−18.9439	−	26.0740i	−0.958033	−	1.31862i
$392$	8.82365	−	11.2086i	0.445662	−	0.566117i
$393$	−1.61730	+	2.25961i	−0.0815820	+	0.113982i
$394$	−0.731349	−	7.93929i	−0.0368448	−	0.399976i
$395$	1.03856	+	18.8801i	0.0522556	+	0.949962i
$396$	0.655841	−	5.61703i	0.0329573	−	0.282266i
$397$	−11.3811	−	35.0273i	−0.571199	−	1.75797i	−0.648772	−	0.760983i	$-0.724717\pi$
$397$	−11.3811	−	35.0273i	−0.571199	−	1.75797i	0.0775729	−	0.996987i	$-0.475283\pi$
$398$	−16.3666	−	3.69944i	−0.820382	−	0.185436i
$399$	−0.783770	+	1.09504i	−0.0392376	+	0.0548208i
$400$	−3.24913	−	19.7343i	−0.162457	−	0.986716i
$401$		−	21.5169i		−	1.07450i	−0.843421	−	0.537252i	$-0.819462\pi$
$401$		−	21.5169i		−	1.07450i	0.843421	−	0.537252i	$-0.180538\pi$
$402$	−9.60601	+	8.54968i	−0.479104	+	0.426419i
$403$	−6.53269	+	2.12260i	−0.325417	+	0.105734i
$404$	−9.50041	+	19.9415i	−0.472663	+	0.992126i
$405$	−20.0547	+	1.67588i	−0.996527	+	0.0832749i
$406$	−7.02128	+	0.646784i	−0.348461	+	0.0320994i
$407$	−0.950248			−0.0471020
$408$	−35.7634	+	10.3878i	−1.77055	+	0.514270i
$409$	6.48049	−	4.70835i	0.320440	−	0.232813i	−0.415923	−	0.909400i	$-0.636542\pi$
$409$	6.48049	−	4.70835i	0.320440	−	0.232813i	0.736363	+	0.676587i	$0.236542\pi$
$410$	3.84241	+	25.9842i	0.189763	+	1.28327i
$411$	8.26847	+	24.8457i	0.407853	+	1.22555i
$412$	31.5296	+	4.13628i	1.55335	+	0.203780i
$413$	5.71326	+	7.86363i	0.281131	+	0.386944i
$414$	−17.8862	+	1.90430i	−0.879059	+	0.0935911i
$415$	−1.35407	−	0.874362i	−0.0664688	−	0.0429207i
$416$	1.83570	−	3.49879i	0.0900026	−	0.171542i
$417$	−4.34783	+	3.20632i	−0.212914	+	0.157014i
$418$	−0.680650	+	0.292615i	−0.0332917	+	0.0143123i
$419$	−2.23727	+	6.88561i	−0.109298	+	0.336384i	−0.990715	−	0.135954i	$-0.956590\pi$
$419$	−2.23727	+	6.88561i	−0.109298	+	0.336384i	0.881417	+	0.472338i	$0.156590\pi$
$420$	5.75474	+	9.18030i	0.280802	+	0.447953i
$421$	−6.82294	−	20.9988i	−0.332530	−	1.02342i	−0.967926	−	0.251235i	$-0.919163\pi$
$421$	−6.82294	−	20.9988i	−0.332530	−	1.02342i	0.635396	−	0.772186i	$-0.280837\pi$
$422$	14.7873	+	16.8539i	0.719835	+	0.820436i
$423$	−5.05297	+	16.3378i	−0.245684	+	0.794370i
$424$	4.92046	−	13.3657i	0.238959	−	0.649097i
$425$	25.5794	+	28.1142i	1.24078	+	1.36374i
$426$	23.0616	+	5.04081i	1.11734	+	0.244228i
$427$	−0.0284043	+	0.0390951i	−0.00137458	+	0.00189195i
$428$	−2.89636	−	1.37987i	−0.140001	−	0.0666985i
$429$	−1.08692	−	0.344644i	−0.0524771	−	0.0166396i
$430$	−15.9267	+	30.4801i	−0.768055	+	1.46988i
$431$	5.47037	−	16.8361i	0.263499	−	0.810965i	−0.728537	−	0.685007i	$-0.759799\pi$
$431$	5.47037	−	16.8361i	0.263499	−	0.810965i	0.992035	−	0.125959i	$-0.0402007\pi$
$432$	−4.93189	+	20.1910i	−0.237286	+	0.971440i
$433$	−7.41816	+	22.8308i	−0.356494	+	1.09718i	0.598644	+	0.801015i	$0.295707\pi$
$433$	−7.41816	+	22.8308i	−0.356494	+	1.09718i	−0.955138	+	0.296161i	$0.904293\pi$
$434$	−16.7210	−	9.94278i	−0.802634	−	0.477269i
$435$	−3.44349	+	13.3685i	−0.165103	+	0.640972i
$436$	18.2056	−	3.38282i	0.871891	−	0.162008i
$437$	1.38512	+	1.90646i	0.0662593	+	0.0911981i
$438$	−21.1923	+	9.28962i	−1.01261	+	0.443875i
$439$	−9.49504	+	13.0688i	−0.453173	+	0.623740i	−0.973076	−	0.230486i	$-0.925968\pi$
$439$	−9.49504	+	13.0688i	−0.453173	+	0.623740i	0.519902	+	0.854226i	$0.325968\pi$
$440$	0.0975706	+	5.96029i	0.00465149	+	0.284146i
$441$	12.3658	+	8.71852i	0.588846	+	0.415167i
$442$	0.688793	+	7.47732i	0.0327625	+	0.355660i
$443$	20.1940			0.959447			0.479723	−	0.877420i	$-0.340737\pi$
$443$	20.1940			0.959447			0.479723	+	0.877420i	$0.340737\pi$
$444$	3.46593	+	0.429661i	0.164486	+	0.0203908i
$445$	−11.9425	−	14.6698i	−0.566129	−	0.695416i
$446$	14.8548	+	16.9309i	0.703397	+	0.801700i
$447$	1.92355	−	6.06641i	0.0909810	−	0.286931i
$448$	10.8775	−	2.62723i	0.513911	−	0.124125i
$449$			8.94462i			0.422123i	0.977473	+	0.211061i	$0.0676920\pi$
$449$			8.94462i			0.422123i	−0.977473	+	0.211061i	$0.932308\pi$
$450$	20.7204	−	4.54595i	0.976768	−	0.214298i
$451$		−	7.82892i		−	0.368649i
$452$	4.76562	+	25.6475i	0.224156	+	1.20636i
$453$	0.109488	−	0.345298i	0.00514420	−	0.0162235i
$454$	17.7382	−	15.5632i	0.832495	−	0.730415i
$455$	2.03750	−	0.788189i	0.0955193	−	0.0369509i
$456$	2.61491	−	0.759522i	0.122454	−	0.0355679i
$457$	−9.72369			−0.454855			−0.227428	−	0.973795i	$-0.573031\pi$
$457$	−9.72369			−0.454855			−0.227428	+	0.973795i	$0.573031\pi$
$458$	11.1785	−	1.02974i	0.522337	−	0.0481164i
$459$	−13.0042	−	37.2985i	−0.606984	−	1.74095i
$460$	18.4228	−	4.48240i	0.858968	−	0.208993i
$461$	−23.8004	+	32.7584i	−1.10849	+	1.52571i	−0.284877	+	0.958564i	$0.591953\pi$
$461$	−23.8004	+	32.7584i	−1.10849	+	1.52571i	−0.823617	+	0.567147i	$0.808047\pi$
$462$	−1.29651	−	2.95771i	−0.0603189	−	0.137605i
$463$	20.3999	+	28.0780i	0.948062	+	1.30490i	0.952383	+	0.304905i	$0.0986246\pi$
$463$	20.3999	+	28.0780i	0.948062	+	1.30490i	−0.00432102	+	0.999991i	$0.501375\pi$
$464$	11.9646	+	7.75432i	0.555440	+	0.359985i
$465$	−29.3660	+	24.2554i	−1.36181	+	1.12482i
$466$	−2.71216	+	4.56110i	−0.125638	+	0.211289i
$467$	−8.74971	+	26.9288i	−0.404888	+	1.24612i	0.516100	+	0.856528i	$0.327383\pi$
$467$	−8.74971	+	26.9288i	−0.404888	+	1.24612i	−0.920988	+	0.389590i	$0.872617\pi$
$468$	3.80860	+	1.74851i	0.176053	+	0.0808251i
$469$	−2.26928	+	6.98412i	−0.104785	+	0.322496i
$470$	3.00262	−	17.7746i	0.138501	−	0.819879i
$471$	−31.2972	−	9.92380i	−1.44210	−	0.457265i
$472$	0.758162	−	19.6398i	0.0348972	−	0.903997i
$473$	6.02492	−	8.29259i	0.277026	−	0.381294i
$474$	−4.42312	+	20.2356i	−0.203161	+	0.929454i
$475$	−1.87029	−	2.05563i	−0.0858147	−	0.0943186i
$476$	−14.6320	+	15.4330i	−0.670655	+	0.707370i
$477$	14.4321	+	4.46359i	0.660802	+	0.204374i
$478$	−13.4249	+	11.7787i	−0.614040	+	0.538747i
$479$	5.34279	+	16.4434i	0.244118	+	0.751319i	0.995780	+	0.0917705i	$0.0292526\pi$
$479$	5.34279	+	16.4434i	0.244118	+	0.751319i	−0.751662	+	0.659549i	$0.770747\pi$
$480$	2.33911	−	21.7837i	0.106765	−	0.994284i
$481$	0.217605	−	0.669719i	0.00992193	−	0.0305365i
$482$	8.41109	+	19.5650i	0.383114	+	0.891161i
$483$	−8.26682	+	6.09640i	−0.376153	+	0.277396i
$484$	−2.63050	+	20.0515i	−0.119568	+	0.911430i
$485$	3.82215	−	0.210249i	0.173555	−	0.00954693i
$486$	−21.6620	−	4.09369i	−0.982608	−	0.185693i
$487$	−14.8403	−	20.4260i	−0.672480	−	0.925590i	0.327333	−	0.944909i	$-0.393850\pi$
$487$	−14.8403	−	20.4260i	−0.672480	−	0.925590i	−0.999813	+	0.0193191i	$0.993850\pi$
$488$	0.0940281	−	0.0265883i	0.00425645	−	0.00120360i
$489$	−9.99448	−	30.0322i	−0.451966	−	1.35810i
$490$	−14.1353	−	7.38609i	−0.638567	−	0.333669i
$491$	5.94090	−	4.31631i	0.268109	−	0.194792i	−0.445605	−	0.895230i	$-0.647012\pi$
$491$	5.94090	−	4.31631i	0.268109	−	0.194792i	0.713714	+	0.700437i	$0.247012\pi$
$492$	−3.53990	+	28.5552i	−0.159591	+	1.28737i
$493$	−27.0962			−1.22035
$494$	−0.0503625	−	0.546719i	−0.00226592	−	0.0245981i
$495$	−6.30758	+	0.436942i	−0.283504	+	0.0196391i
$496$	14.1307	+	36.7113i	0.634486	+	1.64839i
$497$	12.8204	−	4.16561i	0.575075	−	0.186853i
$498$	−1.17390	−	1.31894i	−0.0526036	−	0.0591029i
$499$		−	8.52203i		−	0.381498i	−0.981639	−	0.190749i	$-0.938908\pi$
$499$		−	8.52203i		−	0.381498i	0.981639	−	0.190749i	$-0.0610917\pi$
$500$	−21.0159	+	7.63749i	−0.939860	+	0.341559i
$501$	5.66622	−	7.91655i	0.253148	−	0.353686i
$502$	6.14827	−	27.2003i	0.274411	−	1.21401i
$503$	4.26171	+	13.1162i	0.190020	+	0.584823i	0.999999	−	0.00163729i	$-0.000521164\pi$
$503$	4.26171	+	13.1162i	0.190020	+	0.584823i	−0.809978	+	0.586460i	$0.800521\pi$
$504$	3.39153	+	11.3742i	0.151071	+	0.506645i
$505$	23.8712	+	6.32996i	1.06225	+	0.281680i
$506$	−5.62737	+	0.518380i	−0.250167	+	0.0230448i
$507$	−12.6134	+	17.6228i	−0.560181	+	0.782656i
$508$	36.0299	−	19.5840i	1.59857	−	0.868899i
$509$	12.1728	+	16.7544i	0.539549	+	0.742625i	0.988548	−	0.150907i	$-0.0482195\pi$
$509$	12.1728	+	16.7544i	0.539549	+	0.742625i	−0.448999	+	0.893532i	$0.648219\pi$
$510$	18.7854	+	37.1586i	0.831832	+	1.64541i
$511$	−7.76669	+	10.6899i	−0.343578	+	0.472895i
$512$	−20.5684	−	9.43089i	−0.909003	−	0.416790i
$513$	0.950828	+	2.72716i	0.0419801	+	0.120407i
$514$	−13.8787	−	3.13710i	−0.612165	−	0.138372i
$515$	−1.95276	−	35.4995i	−0.0860489	−	1.56430i
$516$	−25.7248	+	27.5222i	−1.13247	+	1.21160i
$517$	−1.66030	+	5.10988i	−0.0730200	+	0.224732i
$518$	1.83223	−	0.787683i	0.0805034	−	0.0346088i
$519$	−2.99947	+	2.21197i	−0.131662	+	0.0970947i
$520$	−4.22306	−	1.29613i	−0.185193	−	0.0568390i
$521$	−18.7058	+	6.07789i	−0.819517	+	0.266277i	−0.688624	−	0.725119i	$-0.741785\pi$
$521$	−18.7058	+	6.07789i	−0.819517	+	0.266277i	−0.130894	+	0.991396i	$0.541785\pi$
$522$	−7.54359	+	13.1067i	−0.330174	+	0.573662i
$523$	−10.1023	+	13.9046i	−0.441742	+	0.608006i	−0.970598	−	0.240706i	$-0.922621\pi$
$523$	−10.1023	+	13.9046i	−0.441742	+	0.608006i	0.528856	+	0.848711i	$0.322621\pi$
$524$	2.20761	−	2.32847i	0.0964401	−	0.101720i
$525$	8.90199	−	8.21573i	0.388515	−	0.358564i
$526$	−16.0191	−	37.2620i	−0.698466	−	1.62470i
$527$	−60.4810	−	43.9420i	−2.63459	−	1.91414i
$528$	−1.63947	+	6.32089i	−0.0713486	+	0.275082i
$529$	−1.55293	−	4.77943i	−0.0675187	−	0.207801i
$530$	−15.7013	−	2.65239i	−0.682022	−	0.115213i
$531$	20.8446	−	0.296209i	0.904579	−	0.0128544i
$532$	1.06985	−	1.12841i	0.0463837	−	0.0489230i
$533$	5.51769	+	1.79281i	0.238998	+	0.0776551i
$534$	−8.31919	−	18.9785i	−0.360007	−	0.821280i
$535$	−0.919384	+	3.46712i	−0.0397484	+	0.149897i
$536$	12.3409	−	8.25820i	0.533047	−	0.356700i
$537$	−0.274929	−	38.6963i	−0.0118641	−	1.66987i
$538$	16.2605	−	27.3457i	0.701042	−	1.17896i
$539$	3.84573	+	2.79408i	0.165647	+	0.120350i
$540$	23.2038	+	1.25831i	0.998533	+	0.0541492i
$541$	3.87031	−	2.81195i	0.166398	−	0.120895i	−0.501470	−	0.865175i	$-0.667207\pi$
$541$	3.87031	−	2.81195i	0.166398	−	0.120895i	0.667868	+	0.744280i	$0.267207\pi$
$542$	−0.307042	−	3.33315i	−0.0131886	−	0.143171i
$543$	−7.44099	+	10.3962i	−0.319324	+	0.446143i
$544$	42.5506	−	6.21921i	1.82434	−	0.266646i
$545$	−7.46934	−	19.3085i	−0.319951	−	0.827086i
$546$	2.38144	−	0.236447i	0.101916	−	0.0101190i
$547$	36.7937	−	11.9550i	1.57318	−	0.511158i	0.612895	−	0.790165i	$-0.290005\pi$
$547$	36.7937	−	11.9550i	1.57318	−	0.511158i	0.960289	+	0.279006i	$0.0900051\pi$
$548$	−5.52372	−	29.7275i	−0.235962	−	1.26990i
$549$	0.0334246	+	0.0981047i	0.00142653	+	0.00418701i
$550$	6.52951	−	1.33559i	0.278419	−	0.0569498i
$551$	1.98119			0.0844016
$552$	20.7597	+	0.653718i	0.883590	+	0.0278241i
$553$	3.65517	+	11.2494i	0.155434	+	0.478375i
$554$	14.4733	−	12.6986i	0.614911	−	0.539511i
$555$	−0.242160	−	3.89718i	−0.0102791	−	0.165426i
$556$	5.48067	−	2.97900i	0.232432	−	0.126338i
$557$		−	28.8417i		−	1.22206i	−0.791607	−	0.611030i	$-0.790755\pi$
$557$		−	28.8417i		−	1.22206i	0.791607	−	0.611030i	$-0.209245\pi$
$558$	−38.0931	+	17.0217i	−1.61261	+	0.720586i
$559$	4.46479	+	6.14525i	0.188840	+	0.259916i
$560$	−5.12876	−	11.4115i	−0.216730	−	0.482224i
$561$	−3.91870	−	11.7752i	−0.165448	−	0.497150i
$562$	−15.6056	+	26.2443i	−0.658282	+	1.10705i
$563$	24.1794	−	17.5673i	1.01904	−	0.740375i	0.0529534	−	0.998597i	$-0.483137\pi$
$563$	24.1794	−	17.5673i	1.01904	−	0.740375i	0.966086	+	0.258222i	$0.0831365\pi$
$564$	8.36625	−	17.8871i	0.352283	−	0.753181i
$565$	27.2012	−	10.5226i	1.14437	−	0.442688i
$566$	−6.18671	+	10.4043i	−0.260047	+	0.437327i
$567$	−11.8575	+	4.22886i	−0.497968	+	0.177595i
$568$	−25.5796	−	9.41688i	−1.07330	−	0.395124i
$569$	21.5417	+	6.99933i	0.903076	+	0.293427i	0.723506	−	0.690318i	$-0.242529\pi$
$569$	21.5417	+	6.99933i	0.903076	+	0.293427i	0.179570	+	0.983745i	$0.442529\pi$
$570$	−1.37353	−	2.71693i	−0.0575310	−	0.113800i
$571$	−41.8431	+	13.5957i	−1.75108	+	0.568960i	−0.996215	−	0.0869201i	$-0.972298\pi$
$571$	−41.8431	+	13.5957i	−1.75108	+	0.568960i	−0.754865	+	0.655880i	$0.772298\pi$
$572$	1.18865	+	0.566290i	0.0496999	+	0.0236778i
$573$	25.8304	−	8.59617i	1.07908	−	0.359110i
$574$	6.48958	+	15.0954i	0.270870	+	0.630069i
$575$	−8.72241	−	19.3206i	−0.363750	−	0.805724i
$576$	8.83782	−	22.3135i	0.368243	−	0.929730i
$577$	−6.24552	−	4.53763i	−0.260004	−	0.188904i	0.450145	−	0.892956i	$-0.351372\pi$
$577$	−6.24552	−	4.53763i	−0.260004	−	0.188904i	−0.710149	+	0.704051i	$0.751372\pi$
$578$	−43.3601	+	38.0433i	−1.80354	+	1.58239i
$579$	−25.7742	−	8.17255i	−1.07114	−	0.339639i
$580$	6.05522	−	14.7457i	0.251429	−	0.612280i
$581$	−0.958941	−	0.311579i	−0.0397836	−	0.0129265i
$582$	4.09657	+	0.895431i	0.169808	+	0.0371168i
$583$	4.51386	+	1.46664i	0.186945	+	0.0607421i
$584$	25.7104	−	7.27013i	1.06391	−	0.300840i
$585$	1.13647	−	4.54553i	0.0469874	−	0.187935i
$586$	−1.46870	−	0.331979i	−0.0606713	−	0.0137139i
$587$	22.8476	−	16.5998i	0.943023	−	0.685146i	−0.00612359	−	0.999981i	$-0.501949\pi$
$587$	22.8476	−	16.5998i	0.943023	−	0.685146i	0.949146	+	0.314835i	$0.101949\pi$
$588$	−12.7635	−	11.9300i	−0.526359	−	0.491985i
$589$	4.42219	+	3.21291i	0.182213	+	0.132386i
$590$	−21.7380	+	3.21450i	−0.894938	+	0.132339i
$591$	−9.76453	+	0.0693751i	−0.401659	+	0.00285371i
$592$	−3.89629	−	1.04019i	−0.160136	−	0.0427515i
$593$		−	14.0680i		−	0.577705i	−0.957374	−	0.288853i	$-0.906726\pi$
$593$		−	14.0680i		−	0.577705i	0.957374	−	0.288853i	$-0.0932738\pi$
$594$	−6.78674	−	1.38271i	−0.278463	−	0.0567334i
$595$	19.9745	+	12.8981i	0.818873	+	0.528769i
$596$	−3.16062	+	6.63418i	−0.129464	+	0.271746i
$597$	−6.21146	+	19.5894i	−0.254218	+	0.801740i
$598$	0.923311	−	4.08479i	0.0377570	−	0.167039i
$599$	−14.8841			−0.608148			−0.304074	−	0.952648i	$-0.598347\pi$
$599$	−14.8841			−0.608148			−0.304074	+	0.952648i	$0.598347\pi$
$600$	−24.4196	+	1.91907i	−0.996926	+	0.0783457i
$601$	−5.43937			−0.221876			−0.110938	−	0.993827i	$-0.535386\pi$
$601$	−5.43937			−0.221876			−0.110938	+	0.993827i	$0.535386\pi$
$602$	−4.74307	+	20.9836i	−0.193313	+	0.855229i
$603$	9.43766	+	12.6091i	0.384331	+	0.513482i
$604$	−0.179901	+	0.377615i	−0.00732008	+	0.0153650i
$605$	22.5762	−	1.24187i	0.917852	−	0.0504893i
$606$	23.3506	+	13.6613i	0.948553	+	0.554952i
$607$		−	21.7794i		−	0.883999i	−0.897015	−	0.441999i	$-0.854269\pi$
$607$		−	21.7794i		−	0.883999i	0.897015	−	0.441999i	$-0.145731\pi$
$608$	−3.11117	+	0.454730i	−0.126175	+	0.0184417i
$609$	0.0613534	+	8.63547i	0.00248616	+	0.349927i
$610$	−0.0485957	−	0.0978454i	−0.00196758	−	0.00396165i
$611$	−3.22115	−	2.34031i	−0.130314	−	0.0946786i
$612$	8.96883	+	44.7207i	0.362543	+	1.80773i
$613$	28.0560	−	20.3839i	1.13317	−	0.823298i	0.147019	−	0.989134i	$-0.453032\pi$
$613$	28.0560	−	20.3839i	1.13317	−	0.823298i	0.986153	+	0.165836i	$0.0530322\pi$
$614$	26.6972	+	6.03455i	1.07741	+	0.243535i
$615$	32.1081	−	1.99511i	1.29472	−	0.0804505i
$616$	1.01466	+	3.58828i	0.0408817	+	0.144576i
$617$	−19.7403	−	6.41403i	−0.794716	−	0.258219i	−0.116605	−	0.993178i	$-0.537201\pi$
$617$	−19.7403	−	6.41403i	−0.794716	−	0.258219i	−0.678111	+	0.734959i	$0.737201\pi$
$618$	8.31661	−	38.0482i	0.334543	−	1.53052i
$619$	−44.4008	−	14.4267i	−1.78462	−	0.579857i	−0.785384	−	0.619009i	$-0.787534\pi$
$619$	−44.4008	−	14.4267i	−1.78462	−	0.579857i	−0.999233	+	0.0391518i	$0.987534\pi$
$620$	37.4289	−	23.0938i	1.50318	−	0.927469i
$621$	0.469510	+	22.0249i	0.0188408	+	0.883827i
$622$	−25.1345	+	22.0525i	−1.00780	+	0.884226i
$623$	−9.57322	−	6.95535i	−0.383543	−	0.278660i
$624$	−4.07942	−	2.60294i	−0.163308	−	0.104201i
$625$	12.7239	+	21.5198i	0.508955	+	0.860793i
$626$	−5.90846	−	13.7437i	−0.236150	−	0.549307i
$627$	0.286524	+	0.860968i	0.0114427	+	0.0343838i
$628$	34.2264	+	16.3059i	1.36578	+	0.650678i
$629$	7.28900	−	2.36834i	0.290631	−	0.0944319i
$630$	11.7998	−	6.07099i	0.470116	−	0.241874i
$631$	2.95970	+	0.961663i	0.117824	+	0.0382832i	0.367335	−	0.930089i	$-0.380270\pi$
$631$	2.95970	+	0.961663i	0.117824	+	0.0382832i	−0.249512	+	0.968372i	$0.580270\pi$
$632$	8.26296	−	22.4451i	0.328683	−	0.892819i
$633$	22.1008	−	16.2983i	0.878427	−	0.647800i
$634$	−6.91726	+	11.6329i	−0.274719	+	0.462002i
$635$	−28.9458	−	35.5562i	−1.14868	−	1.41101i
$636$	−15.8007	−	7.39040i	−0.626538	−	0.293049i
$637$	−2.84989	+	2.07056i	−0.112917	+	0.0820387i
$638$	−2.42829	+	4.08372i	−0.0961371	+	0.161676i
$639$	8.54251	−	27.6205i	0.337936	−	1.09265i
$640$	−6.12437	+	24.5457i	−0.242087	+	0.970255i
$641$	−3.03282	−	4.17432i	−0.119789	−	0.164876i	0.744911	−	0.667164i	$-0.232492\pi$
$641$	−3.03282	−	4.17432i	−0.119789	−	0.164876i	−0.864701	+	0.502288i	$0.832492\pi$
$642$	−1.98421	+	3.39151i	−0.0783105	+	0.133852i
$643$		−	14.3133i		−	0.564461i	−0.959347	−	0.282231i	$-0.908926\pi$
$643$		−	14.3133i		−	0.564461i	0.959347	−	0.282231i	$-0.0910744\pi$
$644$	10.4208	−	5.66418i	0.410636	−	0.223200i
$645$	35.5451	+	22.5963i	1.39959	+	0.889727i
$646$	4.49172	−	3.94095i	0.176724	−	0.155055i
$647$	7.65518	+	23.5602i	0.300956	+	0.926248i	0.981155	+	0.193221i	$0.0618933\pi$
$647$	7.65518	+	23.5602i	0.300956	+	0.926248i	−0.680199	+	0.733027i	$0.738107\pi$
$648$	24.1287	+	8.11198i	0.947866	+	0.318669i
$649$	6.54956			0.257093
$650$	−0.553941	+	4.90773i	−0.0217274	+	0.192497i
$651$	−13.8673	+	19.3746i	−0.543500	+	0.759351i
$652$	6.67678	+	35.9330i	0.261483	+	1.40725i
$653$	−24.3114	+	7.89926i	−0.951379	+	0.309122i	−0.743276	−	0.668985i	$-0.766729\pi$
$653$	−24.3114	+	7.89926i	−0.951379	+	0.309122i	−0.208103	+	0.978107i	$0.566729\pi$
$654$	−2.24071	−	22.5679i	−0.0876187	−	0.882475i
$655$	−3.01367	−	1.94601i	−0.117754	−	0.0760369i
$656$	8.56993	−	32.1008i	0.334600	−	1.25333i
$657$	9.13941	+	26.8251i	0.356562	+	1.04655i
$658$	−1.03438	−	11.2289i	−0.0403244	−	0.437749i
$659$	−8.99520	+	6.53539i	−0.350403	+	0.254583i	−0.749038	−	0.662527i	$-0.769484\pi$
$659$	−8.99520	+	6.53539i	−0.350403	+	0.254583i	0.398635	+	0.917110i	$0.369484\pi$
$660$	7.28375	+	0.498878i	0.283520	+	0.0194188i
$661$	−25.0024	−	18.1653i	−0.972481	−	0.706549i	−0.0164651	−	0.999864i	$-0.505241\pi$
$661$	−25.0024	−	18.1653i	−0.972481	−	0.706549i	−0.956016	+	0.293316i	$0.905241\pi$
$662$	−20.4915	+	34.4611i	−0.796426	+	1.33937i
$663$	9.19634	−	0.0653382i	0.357156	−	0.00253753i
$664$	1.13388	+	1.69445i	0.0440030	+	0.0657574i
$665$	−1.46047	−	0.943068i	−0.0566348	−	0.0365706i
$666$	0.883676	−	4.18510i	0.0342417	−	0.162169i
$667$	14.3722	+	4.66981i	0.556494	+	0.180816i
$668$	−7.73438	+	8.15781i	−0.299252	+	0.315635i
$669$	22.2017	−	16.3727i	0.858367	−	0.633006i
$670$	−11.6181	−	11.8592i	−0.448847	−	0.458160i
$671$	0.0100622	+	0.0309684i	0.000388448	+	0.00119552i
$672$	−2.07839	−	13.5467i	−0.0801756	−	0.522574i
$673$	−16.9582	−	12.3208i	−0.653690	−	0.474934i	0.210836	−	0.977521i	$-0.432381\pi$
$673$	−16.9582	−	12.3208i	−0.653690	−	0.474934i	−0.864526	+	0.502588i	$0.832381\pi$
$674$	8.48060	+	19.7267i	0.326661	+	0.759844i
$675$	−3.39941	−	25.7574i	−0.130843	−	0.991403i
$676$	17.2173	−	18.1599i	0.662203	−	0.698456i
$677$	15.9790	−	21.9932i	0.614122	−	0.845267i	−0.382786	−	0.923837i	$-0.625035\pi$
$677$	15.9790	−	21.9932i	0.614122	−	0.845267i	0.996909	+	0.0785701i	$0.0250354\pi$
$678$	31.7930	−	3.15664i	1.22100	−	0.121230i
$679$	2.27737	−	0.739964i	0.0873976	−	0.0283972i
$680$	−15.6035	−	45.4760i	−0.598367	−	1.74393i
$681$	−17.1534	−	23.2603i	−0.657321	−	0.891338i
$682$	−12.0428	+	5.17724i	−0.461141	+	0.198247i
$683$	12.3150	−	37.9016i	0.471219	−	1.45026i	−0.379771	−	0.925081i	$-0.623997\pi$
$683$	12.3150	−	37.9016i	0.471219	−	1.45026i	0.850990	−	0.525183i	$-0.176003\pi$
$684$	−0.655774	−	3.26985i	−0.0250742	−	0.125026i
$685$	−31.5284	+	12.1965i	−1.20464	+	0.466004i
$686$	−23.2377	−	5.25257i	−0.887220	−	0.200544i
$687$	−0.0976799	−	13.7484i	−0.00372672	−	0.524535i
$688$	33.7814	−	27.4068i	1.28790	−	1.04488i
$689$	−2.06733	+	2.84544i	−0.0787590	+	0.108402i
$690$	−3.56006	−	22.9470i	−0.135529	−	0.873577i
$691$	23.0072	+	31.6667i	0.875237	+	1.20466i	0.977718	+	0.209925i	$0.0673219\pi$
$691$	23.0072	+	31.6667i	0.875237	+	1.20466i	−0.102481	+	0.994735i	$0.532678\pi$
$692$	3.78099	−	2.05515i	0.143732	−	0.0781250i
$693$	−3.74385	+	1.27554i	−0.142217	+	0.0484538i
$694$	−23.5181	+	2.16643i	−0.892735	+	0.0822367i
$695$	−4.40308	−	5.40861i	−0.167018	−	0.205160i
$696$	10.7034	−	13.7970i	0.405713	−	0.522973i
$697$	19.5123	+	60.0527i	0.739082	+	2.27466i
$698$	0.233609	−	1.03350i	0.00884225	−	0.0391187i
$699$	5.28494	+	3.78266i	0.199895	+	0.143073i
$700$	−11.4828	+	7.98769i	−0.434010	+	0.301906i
$701$		−	17.6599i		−	0.667007i	−0.942749	−	0.333503i	$-0.891769\pi$
$701$		−	17.6599i		−	0.667007i	0.942749	−	0.333503i	$-0.108231\pi$
$702$	2.52866	−	4.46654i	0.0954382	−	0.168579i
$703$	−0.532950	+	0.173166i	−0.0201006	+	0.00653108i
$704$	2.87597	−	6.97023i	0.108392	−	0.262701i
$705$	−21.3799	−	5.50707i	−0.805212	−	0.207408i
$706$	2.18359	+	23.7044i	0.0821805	+	0.892125i
$707$	15.4488			0.581010
$708$	−23.8888	−	2.96143i	−0.897798	−	0.111297i
$709$	13.3990	−	9.73494i	0.503210	−	0.365603i	−0.307032	−	0.951699i	$-0.599336\pi$
$709$	13.3990	−	9.73494i	0.503210	−	0.365603i	0.810242	+	0.586096i	$0.199336\pi$
$710$	−5.07621	+	30.0495i	−0.190507	+	1.12774i
$711$	24.2360	+	7.49573i	0.908919	+	0.281112i
$712$	6.51067	+	23.0246i	0.243998	+	0.862885i
$713$	24.5069	+	33.7309i	0.917792	+	1.26323i
$714$	17.3166	+	19.4561i	0.648059	+	0.728128i
$715$	0.377309	−	1.42288i	0.0141106	−	0.0532129i
$716$	−5.81214	+	44.3041i	−0.217210	+	1.65572i
$717$	12.9823	+	17.6042i	0.484833	+	0.657442i
$718$	−13.3179	−	30.9786i	−0.497018	−	1.15611i
$719$	−0.598196	+	1.84106i	−0.0223090	+	0.0686599i	−0.961591	−	0.274486i	$-0.911492\pi$
$719$	−0.598196	+	1.84106i	−0.0223090	+	0.0686599i	0.939282	+	0.343146i	$0.111492\pi$
$720$	−26.3412	−	5.11301i	−0.981677	−	0.190550i
$721$	−6.87266	−	21.1519i	−0.255951	−	0.787737i
$722$	19.8695	−	17.4331i	0.739466	−	0.648794i
$723$	24.7482	−	8.23601i	0.920394	−	0.306300i
$724$	10.1569	−	10.7130i	0.377480	−	0.398145i
$725$	−17.4516	−	3.61496i	−0.648135	−	0.134256i
$726$	24.1971	+	5.28901i	0.898037	+	0.196294i
$727$	8.63327	−	11.8827i	0.320190	−	0.440704i	−0.618335	−	0.785915i	$-0.712193\pi$
$727$	8.63327	−	11.8827i	0.320190	−	0.440704i	0.938525	+	0.345211i	$0.112193\pi$
$728$	−2.76131	−	0.106596i	−0.102341	−	0.00395070i
$729$	−7.24158	+	26.0108i	−0.268207	+	0.963361i
$730$	−13.2877	−	26.7542i	−0.491800	−	0.990218i
$731$	−25.5470	+	78.6256i	−0.944890	+	2.90807i
$732$	−0.0226984	−	0.117504i	−0.000838957	−	0.00434306i
$733$	−2.97772	+	9.16449i	−0.109985	+	0.338498i	−0.990868	−	0.134835i	$-0.956949\pi$
$733$	−2.97772	+	9.16449i	−0.109985	+	0.338498i	0.880883	+	0.473334i	$0.156949\pi$
$734$	−9.76277	+	16.4183i	−0.360350	+	0.606010i
$735$	−10.4791	+	16.4842i	−0.386528	+	0.608029i
$736$	−23.6413	−	4.03450i	−0.871429	−	0.148714i
$737$	2.90851	+	4.00322i	0.107136	+	0.147460i
$738$	34.4803	+	7.28044i	1.26924	+	0.267997i
$739$	−21.2180	+	29.2041i	−0.780517	+	1.07429i	0.214708	+	0.976678i	$0.431120\pi$
$739$	−21.2180	+	29.2041i	−0.780517	+	1.07429i	−0.995225	+	0.0976107i	$0.968880\pi$
$740$	−0.340041	+	4.49591i	−0.0125002	+	0.165273i
$741$	−0.672410	+	0.00477734i	−0.0247016	+	0.000175500i
$742$	−9.91917	+	0.913730i	−0.364144	+	0.0335441i
$743$	0.164358			0.00602970			0.00301485	−	0.999995i	$-0.499040\pi$
$743$	0.164358			0.00602970			0.00301485	+	0.999995i	$0.499040\pi$
$744$	46.2656	−	13.4382i	1.69618	−	0.492669i
$745$	7.94151	+	2.10587i	0.290954	+	0.0771530i
$746$	−6.86815	+	6.02598i	−0.251461	+	0.220627i
$747$	−1.73127	+	1.29582i	−0.0633438	+	0.0474116i
$748$	2.61788	+	14.0889i	0.0957191	+	0.515139i
$749$			2.24383i			0.0819876i
$750$	7.14152	+	26.4386i	0.260772	+	0.965401i
$751$			21.6627i			0.790482i	0.918577	+	0.395241i	$0.129339\pi$
$751$			21.6627i			0.790482i	−0.918577	+	0.395241i	$0.870661\pi$
$752$	−12.4012	+	19.1345i	−0.452227	+	0.697765i
$753$	−32.5565	−	10.3231i	−1.18642	−	0.376195i
$754$	−2.32206	−	2.64658i	−0.0845645	−	0.0963829i
$755$	0.452028	+	0.119865i	0.0164510	+	0.00436235i
$756$	14.2321	−	2.95960i	0.517615	−	0.107640i
$757$	26.5552			0.965166			0.482583	−	0.875850i	$-0.339699\pi$
$757$	26.5552			0.965166			0.482583	+	0.875850i	$0.339699\pi$
$758$	−1.06184	−	11.5270i	−0.0385679	−	0.418681i
$759$	0.0491731	+	6.92110i	0.00178487	+	0.251220i
$760$	1.14088	+	3.32507i	0.0413841	+	0.120613i
$761$	−5.50063	+	7.57096i	−0.199398	+	0.274447i	−0.896993	−	0.442045i	$-0.854253\pi$
$761$	−5.50063	+	7.57096i	−0.199398	+	0.274447i	0.697595	+	0.716492i	$0.254253\pi$
$762$	−20.1638	−	45.9995i	−0.730457	−	1.66638i
$763$	−7.61226	−	10.4774i	−0.275582	−	0.379307i
$764$	−30.9057	+	5.74264i	−1.11813	+	0.207762i
$765$	47.2941	−	19.0722i	1.70992	−	0.689558i
$766$	11.8834	+	7.06619i	0.429364	+	0.255312i
$767$	−1.49984	+	4.61602i	−0.0541559	+	0.166675i
$768$	−13.6415	+	24.1228i	−0.492244	+	0.870458i
$769$	−0.711265	+	2.18905i	−0.0256489	+	0.0789392i	−0.963062	−	0.269281i	$-0.913214\pi$
$769$	−0.711265	+	2.18905i	−0.0256489	+	0.0789392i	0.937413	+	0.348220i	$0.113214\pi$
$770$	3.73396	−	1.85450i	0.134562	−	0.0668315i
$771$	−5.26727	+	16.6117i	−0.189696	+	0.598254i
$772$	28.1864	+	13.4284i	1.01445	+	0.483300i
$773$	−23.3428	+	32.1286i	−0.839582	+	1.15559i	0.146481	+	0.989214i	$0.453205\pi$
$773$	−23.3428	+	32.1286i	−0.839582	+	1.15559i	−0.986063	+	0.166372i	$0.946795\pi$
$774$	30.9196	+	34.2467i	1.11138	+	1.23097i
$775$	−33.0910	−	36.3702i	−1.18866	−	1.30646i
$776$	−4.54386	−	1.67278i	−0.163115	−	0.0600493i
$777$	−0.771288	−	2.31762i	−0.0276698	−	0.0831442i
$778$	12.5960	+	14.3564i	0.451588	+	0.514700i
$779$	−1.42668	−	4.39088i	−0.0511162	−	0.157320i
$780$	−2.01956	+	5.01922i	−0.0723120	+	0.179717i
$781$	2.80689	−	8.63872i	0.100438	−	0.309118i
$782$	41.8735	−	18.0016i	1.49739	−	0.643737i
$783$	15.2126	+	10.5647i	0.543653	+	0.377551i
$784$	12.7100	+	15.6663i	0.453930	+	0.559510i
$785$	10.8644	−	40.9710i	0.387766	−	1.46232i
$786$	−2.61267	−	2.93547i	−0.0931907	−	0.104705i
$787$	−16.3154	−	22.4562i	−0.581580	−	0.800476i	0.412288	−	0.911054i	$-0.364730\pi$
$787$	−16.3154	−	22.4562i	−0.581580	−	0.800476i	−0.993867	+	0.110578i	$0.964730\pi$
$788$	11.1796	+	1.46662i	0.398257	+	0.0522463i
$789$	−47.1334	+	15.6857i	−1.67799	+	0.558424i
$790$	−26.3673	−	4.45418i	−0.938107	−	0.158473i
$791$	14.7602	−	10.7239i	0.524813	−	0.381299i
$792$	7.54372	+	2.65605i	0.268054	+	0.0943788i
$793$	−0.0241302			−0.000856889
$794$	51.8657	−	4.77775i	1.84065	−	0.169556i
$795$	−4.86472	+	18.8861i	−0.172534	+	0.669821i
$796$	10.2061	−	21.4228i	0.361747	−	0.759311i
$797$	−38.3269	+	12.4532i	−1.35761	+	0.441113i	−0.895244	−	0.445577i	$-0.852999\pi$
$797$	−38.3269	+	12.4532i	−1.35761	+	0.441113i	−0.462364	+	0.886690i	$0.652999\pi$
$798$	−1.26614	−	1.42258i	−0.0448209	−	0.0503586i
$799$		−	43.3341i		−	1.53305i
$800$	28.2349	+	1.67122i	0.998253	+	0.0590867i
$801$	−24.0229	+	8.18468i	−0.848807	+	0.289191i
$802$	29.6808	+	6.70894i	1.04806	+	0.236901i
$803$	2.75135	+	8.46779i	0.0970931	+	0.298822i
$804$	−8.79841	−	15.9164i	−0.310296	−	0.561329i
$805$	−8.37187	−	10.2838i	−0.295070	−	0.362455i
$806$	−0.891064	−	9.67311i	−0.0313864	−	0.340721i
$807$	−31.6855	−	22.6787i	−1.11538	−	0.798327i
$808$	−24.5453	−	19.3227i	−0.863502	−	0.679771i
$809$	−21.7657	−	29.9580i	−0.765243	−	1.05327i	−0.996760	−	0.0804353i	$-0.974369\pi$
$809$	−21.7657	−	29.9580i	−0.765243	−	1.05327i	0.231517	−	0.972831i	$-0.425631\pi$
$810$	3.94129	−	28.1863i	0.138483	−	0.990365i
$811$	2.46718	−	3.39578i	0.0866344	−	0.119242i	−0.763500	−	0.645808i	$-0.776521\pi$
$811$	2.46718	−	3.39578i	0.0866344	−	0.119242i	0.850134	+	0.526566i	$0.176521\pi$
$812$	1.29704	−	9.88692i	0.0455172	−	0.346963i
$813$	−4.09944	+	0.0291257i	−0.143774	+	0.00102148i
$814$	0.296285	−	1.31078i	0.0103848	−	0.0459430i
$815$	38.1098	−	14.7425i	1.33493	−	0.516407i
$816$	−3.17807	−	52.5713i	−0.111255	−	1.84036i
$817$	1.86792	−	5.74887i	0.0653503	−	0.201127i
$818$	4.47416	+	10.4073i	0.156435	+	0.363884i
$819$	−0.0416462	−	2.93070i	−0.00145524	−	0.102407i
$820$	−37.0410	−	2.80154i	−1.29353	−	0.0978339i
$821$	31.2235	−	10.1451i	1.08971	−	0.354067i	0.291573	−	0.956548i	$-0.405821\pi$
$821$	31.2235	−	10.1451i	1.08971	−	0.354067i	0.798133	+	0.602481i	$0.205821\pi$
$822$	−36.8506	+	3.65880i	−1.28531	+	0.127615i
$823$	−6.29274	+	8.66121i	−0.219351	+	0.301911i	−0.904484	−	0.426507i	$-0.859744\pi$
$823$	−6.29274	+	8.66121i	−0.219351	+	0.301911i	0.685133	+	0.728418i	$0.259744\pi$
$824$	−15.5365	+	42.2026i	−0.541240	+	1.47020i
$825$	−0.952925	−	8.10675i	−0.0331766	−	0.282241i
$826$	−12.6286	+	5.42909i	−0.439404	+	0.188902i
$827$	10.3286	+	7.50414i	0.359159	+	0.260945i	0.752701	−	0.658362i	$-0.228750\pi$
$827$	10.3286	+	7.50414i	0.359159	+	0.260945i	−0.393542	+	0.919307i	$0.628750\pi$
$828$	2.95007	−	25.2662i	0.102522	−	0.878063i
$829$	7.01305	+	21.5840i	0.243573	+	0.749642i	0.995868	+	0.0908148i	$0.0289471\pi$
$829$	7.01305	+	21.5840i	0.243573	+	0.749642i	−0.752294	+	0.658827i	$0.771053\pi$
$830$	1.62830	−	1.59520i	0.0565193	−	0.0553703i
$831$	−13.9961	−	18.9790i	−0.485521	−	0.658375i
$832$	4.25391	+	3.62311i	0.147478	+	0.125609i
$833$	−36.4629	−	11.8475i	−1.26337	−	0.410493i
$834$	−3.06720	−	6.99718i	−0.106209	−	0.242292i
$835$	10.5584	+	6.81785i	0.365389	+	0.235942i
$836$	−0.191411	−	1.03014i	−0.00662010	−	0.0356280i
$837$	16.8230	+	48.2516i	0.581488	+	1.66782i
$838$	−8.80053	−	5.23304i	−0.304009	−	0.180772i
$839$	28.5389	+	20.7347i	0.985272	+	0.715842i	0.958881	−	0.283809i	$-0.0915983\pi$
$839$	28.5389	+	20.7347i	0.985272	+	0.715842i	0.0263917	+	0.999652i	$0.491598\pi$
$840$	−14.4578	+	5.07576i	−0.498840	+	0.175130i
$841$	−13.1829	+	9.57796i	−0.454584	+	0.330274i
$842$	31.0935	−	2.86426i	1.07155	−	0.0987088i
$843$	30.4092	+	21.7652i	1.04735	+	0.749633i
$844$	−27.8592	+	15.1428i	−0.958953	+	0.521237i
$845$	−23.5038	−	15.1770i	−0.808554	−	0.522106i
$846$	−20.9611	−	12.0642i	−0.720656	−	0.414777i
$847$	13.4517	−	4.37072i	0.462205	−	0.150180i
$848$	16.9027	+	10.9548i	0.580440	+	0.376188i
$849$	12.0555	+	8.62864i	0.413743	+	0.296134i
$850$	−46.7567	+	26.5186i	−1.60374	+	0.909580i
$851$	−4.27436			−0.146523
$852$	−14.1439	+	30.2397i	−0.484562	+	1.03600i
$853$	8.76870	+	26.9873i	0.300234	+	0.924027i	0.981413	+	0.191909i	$0.0614679\pi$
$853$	8.76870	+	26.9873i	0.300234	+	0.924027i	−0.681178	+	0.732118i	$0.738532\pi$
$854$	−0.0450720	−	0.0513710i	−0.00154233	−	0.00175788i
$855$	−3.45800	+	1.39451i	−0.118261	+	0.0476911i
$856$	2.80649	−	3.56504i	0.0959239	−	0.121851i
$857$		−	5.81643i		−	0.198685i	−0.995053	−	0.0993427i	$-0.968326\pi$
$857$		−	5.81643i		−	0.198685i	0.995053	−	0.0993427i	$-0.0316740\pi$
$858$	0.814307	−	1.39186i	0.0278000	−	0.0475172i
$859$	11.4433	+	15.7503i	0.390439	+	0.537394i	0.958312	−	0.285722i	$-0.0922335\pi$
$859$	11.4433	+	15.7503i	0.390439	+	0.537394i	−0.567873	+	0.823116i	$0.692234\pi$
$860$	−37.0788	−	31.4732i	−1.26438	−	1.07323i
$861$	19.0945	−	6.35450i	0.650737	−	0.216561i
$862$	21.5183	+	12.7954i	0.732915	+	0.435812i
$863$	−3.73908	+	2.71660i	−0.127280	+	0.0924741i	−0.649604	−	0.760273i	$-0.725065\pi$
$863$	−3.73908	+	2.71660i	−0.127280	+	0.0924741i	0.522324	+	0.852747i	$0.325065\pi$
$864$	−26.3140	−	13.0986i	−0.895220	−	0.445625i
$865$	−3.03758	−	3.73128i	−0.103281	−	0.126867i
$866$	−29.1801	−	17.3513i	−0.991580	−	0.589621i
$867$	41.9307	+	56.8587i	1.42404	+	1.93102i
$868$	18.9288	−	19.9651i	0.642485	−	0.677658i
$869$	7.58015	+	2.46294i	0.257139	+	0.0835495i
$870$	−17.3670	−	8.91828i	−0.588798	−	0.302358i
$871$	−3.48744	+	1.13314i	−0.118168	+	0.0383950i
$872$	−1.01016	+	26.1678i	−0.0342084	+	0.886154i
$873$	1.51746	−	4.90640i	0.0513582	−	0.166057i
$874$	−3.06167	+	1.31623i	−0.103562	+	0.0445220i
$875$	11.1440	+	10.9720i	0.376736	+	0.370920i
$876$	−6.20650	−	32.1294i	−0.209698	−	1.08555i
$877$	−27.4564	−	19.9482i	−0.927137	−	0.673604i	0.0181535	−	0.999835i	$-0.494221\pi$
$877$	−27.4564	−	19.9482i	−0.927137	−	0.673604i	−0.945290	+	0.326231i	$0.894221\pi$
$878$	−15.0667	−	17.1724i	−0.508478	−	0.579541i
$879$	−0.557401	+	1.75790i	−0.0188007	+	0.0592926i
$880$	−8.25213	−	1.72382i	−0.278179	−	0.0581099i
$881$	−0.253331	−	0.0823121i	−0.00853493	−	0.00277317i	0.304746	−	0.952434i	$-0.401428\pi$
$881$	−0.253331	−	0.0823121i	−0.00853493	−	0.00277317i	−0.313281	+	0.949660i	$0.601428\pi$
$882$	−15.8821	+	14.3391i	−0.534777	+	0.482822i
$883$	33.2651	+	10.8085i	1.11946	+	0.363735i	0.809562	−	0.587035i	$-0.199705\pi$
$883$	33.2651	+	10.8085i	1.11946	+	0.363735i	0.309899	+	0.950770i	$0.399705\pi$
$884$	−10.5291	−	1.38128i	−0.354131	−	0.0464575i
$885$	1.66908	+	26.8612i	0.0561055	+	0.902929i
$886$	−6.29645	+	27.8559i	−0.211534	+	0.935837i
$887$	−5.10685	+	3.71034i	−0.171471	+	0.124581i	−0.670211	−	0.742171i	$-0.733796\pi$
$887$	−5.10685	+	3.71034i	−0.171471	+	0.124581i	0.498740	+	0.866752i	$0.333796\pi$
$888$	−1.67335	+	4.64699i	−0.0561540	+	0.155943i
$889$	−23.2033	−	16.8582i	−0.778213	−	0.565405i
$890$	23.9594	−	11.8996i	0.803121	−	0.398876i
$891$	−2.39102	+	8.13883i	−0.0801024	+	0.272661i
$892$	−27.9864	+	15.2119i	−0.937054	+	0.509334i
$893$			3.16846i			0.106028i
$894$	7.76832	+	4.54487i	0.259812	+	0.152003i
$895$	49.8825	−	2.74394i	1.66739	−	0.0917199i
$896$	0.232469	+	15.8237i	0.00776626	+	0.528632i
$897$	−4.88914	−	1.55026i	−0.163244	−	0.0517617i
$898$	−12.3383	−	2.78892i	−0.411736	−	0.0930673i
$899$	35.0532			1.16909
$900$	−0.189828	+	29.9994i	−0.00632760	+	0.999980i
$901$	−38.2795			−1.27528
$902$	10.7993	+	2.44104i	0.359578	+	0.0812778i
$903$	25.1156	+	7.96372i	0.835794	+	0.265016i
$904$	−36.8644	−	1.42309i	−1.22609	−	0.0473312i
$905$	−13.8655	−	8.95334i	−0.460905	−	0.297619i
$906$	0.442171	+	0.258693i	0.0146901	+	0.00859449i
$907$			23.8516i			0.791981i	0.918255	+	0.395990i	$0.129599\pi$
$907$			23.8516i			0.791981i	−0.918255	+	0.395990i	$0.870401\pi$
$908$	15.9373	+	29.3209i	0.528898	+	0.973048i
$909$	19.0925	−	27.0795i	0.633257	−	0.898170i
$910$	0.451952	+	3.05631i	0.0149820	+	0.101316i
$911$	−13.1993	−	9.58988i	−0.437314	−	0.317727i	0.347253	−	0.937772i	$-0.387115\pi$
$911$	−13.1993	−	9.58988i	−0.437314	−	0.317727i	−0.784567	+	0.620044i	$0.787115\pi$
$912$	0.232371	+	3.84386i	0.00769457	+	0.127283i
$913$	−0.549655	+	0.399348i	−0.0181909	+	0.0132165i
$914$	3.03183	−	13.4130i	0.100284	−	0.443662i
$915$	−0.124444	+	0.0491593i	−0.00411399	+	0.00162516i
$916$	−2.06500	+	15.7408i	−0.0682295	+	0.520092i
$917$	−2.13425	−	0.693461i	−0.0704792	−	0.0229001i
$918$	55.5048	−	6.30857i	1.83193	−	0.208214i
$919$	−9.40408	−	3.05557i	−0.310212	−	0.100794i	0.149774	−	0.988720i	$-0.452145\pi$
$919$	−9.40408	−	3.05557i	−0.310212	−	0.100794i	−0.459986	+	0.887926i	$0.652145\pi$
$920$	0.438887	+	26.8103i	0.0144697	+	0.883909i
$921$	10.1322	−	31.9543i	0.333866	−	1.05293i
$922$	−37.7665	−	43.0446i	−1.24377	−	1.41760i
$923$	5.44566	+	3.95650i	0.179246	+	0.130230i
$924$	4.48415	−	0.866211i	0.147518	−	0.0284963i
$925$	5.01052	−	0.552912i	0.164745	−	0.0181796i
$926$	−45.0918	+	19.3852i	−1.48181	+	0.637037i
$927$	−45.5699	−	14.0939i	−1.49671	−	0.462905i
$928$	−14.4269	+	14.0863i	−0.473588	+	0.462405i
$929$	−22.5488	+	7.32655i	−0.739802	+	0.240376i	−0.654587	−	0.755986i	$-0.727158\pi$
$929$	−22.5488	+	7.32655i	−0.739802	+	0.240376i	−0.0852146	+	0.996363i	$0.527158\pi$
$930$	−24.3019	−	48.0706i	−0.796892	−	1.57630i
$931$	2.66606	+	0.866256i	0.0873767	+	0.0283904i
$932$	−5.44599	−	5.16333i	−0.178389	−	0.169130i
$933$	24.3059	+	32.9592i	0.795740	+	1.07904i
$934$	−34.4179	−	20.4658i	−1.12619	−	0.669662i
$935$	14.9424	−	5.78033i	0.488667	−	0.189037i
$936$	−3.59944	+	4.70845i	−0.117651	+	0.153901i
$937$	−23.9989	+	17.4362i	−0.784010	+	0.569617i	−0.906180	−	0.422893i	$-0.861015\pi$
$937$	−23.9989	+	17.4362i	−0.784010	+	0.569617i	0.122170	+	0.992509i	$0.461015\pi$
$938$	−8.92643	−	5.30790i	−0.291458	−	0.173309i
$939$	−17.3846	+	5.78548i	−0.567326	+	0.188802i
$940$	23.5823	+	9.68393i	0.769169	+	0.315855i
$941$	4.39652	+	6.05129i	0.143322	+	0.197266i	0.874643	−	0.484767i	$-0.161096\pi$
$941$	4.39652	+	6.05129i	0.143322	+	0.197266i	−0.731321	+	0.682034i	$0.761096\pi$
$942$	23.4474	−	40.0775i	0.763958	−	1.30580i
$943$		−	35.2156i		−	1.14678i
$944$	26.8551	+	7.16948i	0.874058	+	0.233347i
$945$	−6.18536	−	15.0293i	−0.201210	−	0.488903i
$946$	9.56036	+	10.8965i	0.310834	+	0.354275i
$947$	10.5581	+	32.4945i	0.343092	+	1.05593i	0.962597	+	0.270936i	$0.0873332\pi$
$947$	10.5581	+	32.4945i	0.343092	+	1.05593i	−0.619505	+	0.784992i	$0.712667\pi$
$948$	−26.5342	−	12.4107i	−0.861790	−	0.403082i
$949$	−6.59801			−0.214181
$950$	3.41871	−	1.93896i	0.110918	−	0.0629082i
$951$	13.4790	+	9.64754i	0.437088	+	0.312843i
$952$	−16.7263	−	24.9955i	−0.542101	−	0.810109i
$953$	−22.0330	+	7.15894i	−0.713717	+	0.231901i	−0.643297	−	0.765617i	$-0.722434\pi$
$953$	−22.0330	+	7.15894i	−0.713717	+	0.231901i	−0.0704202	+	0.997517i	$0.522434\pi$
$954$	−10.6570	+	18.5161i	−0.345035	+	0.599482i
$955$	12.6799	+	32.7779i	0.410311	+	1.06067i
$956$	−12.0619	−	22.1910i	−0.390109	−	0.717710i
$957$	4.73180	+	3.38675i	0.152957	+	0.109478i
$958$	−24.3482	+	2.24289i	−0.786653	+	0.0724646i
$959$	−17.1083	+	12.4299i	−0.552454	+	0.401382i
$960$	29.3194	+	10.0187i	0.946279	+	0.323352i
$961$	53.1623	+	38.6247i	1.71491	+	1.24596i
$962$	0.855970	+	0.508984i	0.0275976	+	0.0164103i
$963$	3.93311	+	2.77305i	0.126743	+	0.0893603i
$964$	−29.6108	+	5.50204i	−0.953699	+	0.177209i
$965$	8.94713	−	33.7409i	0.288018	−	1.08616i
$966$	−5.83188	−	13.3042i	−0.187638	−	0.428056i
$967$	−20.0881	−	6.52703i	−0.645991	−	0.209895i	−0.0323454	−	0.999477i	$-0.510298\pi$
$967$	−20.0881	−	6.52703i	−0.645991	−	0.209895i	−0.613646	+	0.789582i	$0.710298\pi$
$968$	−26.8391	−	9.88055i	−0.862641	−	0.317573i
$969$	−4.34365	−	5.89006i	−0.139538	−	0.189216i
$970$	−0.901718	+	5.33788i	−0.0289524	+	0.171389i
$971$	0.344103	+	1.05904i	0.0110428	+	0.0339862i	0.956426	−	0.291975i	$-0.0943123\pi$
$971$	0.344103	+	1.05904i	0.0110428	+	0.0339862i	−0.945383	+	0.325961i	$0.894312\pi$
$972$	12.4011	−	28.6044i	0.397764	−	0.917488i
$973$	−3.52955	−	2.56437i	−0.113152	−	0.0822099i
$974$	32.8031	−	14.1022i	1.05108	−	0.451864i
$975$	5.93172	+	1.18482i	0.189967	+	0.0379447i
$976$	0.00735848	+	0.137994i	0.000235539	+	0.00441707i
$977$	−4.08151	+	5.61771i	−0.130579	+	0.179726i	−0.869300	−	0.494285i	$-0.835430\pi$
$977$	−4.08151	+	5.61771i	−0.130579	+	0.179726i	0.738721	+	0.674011i	$0.235430\pi$
$978$	44.5430	−	4.42256i	1.42433	−	0.141418i
$979$	−7.58322	+	2.46394i	−0.242361	+	0.0787478i
$980$	14.5958	−	17.1954i	0.466246	−	0.549288i
$981$	−27.7730	+	0.394664i	−0.886725	+	0.0126007i
$982$	4.10162	+	9.54077i	0.130888	+	0.304458i
$983$	−10.7586	+	33.1115i	−0.343146	+	1.05609i	0.619424	+	0.785057i	$0.287366\pi$
$983$	−10.7586	+	33.1115i	−0.343146	+	1.05609i	−0.962569	+	0.271036i	$0.912634\pi$
$984$	−38.2857	−	13.7864i	−1.22050	−	0.439495i
$985$	−0.692400	−	12.5872i	−0.0220617	−	0.401063i
$986$	8.44853	−	37.3768i	0.269056	−	1.19032i
$987$	−13.8104	+	0.0981205i	−0.439591	+	0.00312321i
$988$	0.769855	+	0.100995i	0.0244923	+	0.00321309i
$989$	27.1010	−	37.3013i	0.861762	−	1.18611i
$990$	1.36397	−	8.83699i	0.0433497	−	0.280858i
$991$	−21.2726	−	29.2793i	−0.675748	−	0.930087i	0.324125	−	0.946014i	$-0.394930\pi$
$991$	−21.2726	−	29.2793i	−0.675748	−	0.930087i	−0.999873	+	0.0159270i	$0.994930\pi$
$992$	−55.0460	+	8.04554i	−1.74771	+	0.255446i
$993$	39.9300	+	28.5796i	1.26714	+	0.906947i
$994$	1.74872	+	18.9835i	0.0554659	+	0.602121i
$995$	−25.6444	−	6.80017i	−0.812981	−	0.215580i
$996$	2.18538	−	1.20805i	0.0692463	−	0.0382785i
$997$	8.89675	+	27.3814i	0.281763	+	0.867177i	0.987350	+	0.158554i	$0.0506832\pi$
$997$	8.89675	+	27.3814i	0.281763	+	0.867177i	−0.705588	+	0.708623i	$0.749317\pi$
$998$	11.7554	+	2.65715i	0.372111	+	0.0841107i
$999$	−5.01566	−	1.51229i	−0.158689	−	0.0478468i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.n.a.191.24	yes	224
3.2	odd	2	inner	300.2.n.a.191.33	yes	224
4.3	odd	2	inner	300.2.n.a.191.11	yes	224
12.11	even	2	inner	300.2.n.a.191.46	yes	224
25.11	even	5	inner	300.2.n.a.11.46	yes	224
75.11	odd	10	inner	300.2.n.a.11.11	✓	224
100.11	odd	10	inner	300.2.n.a.11.33	yes	224
300.11	even	10	inner	300.2.n.a.11.24	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.n.a.11.11	✓	224	75.11	odd	10	inner
300.2.n.a.11.24	yes	224	300.11	even	10	inner
300.2.n.a.11.33	yes	224	100.11	odd	10	inner
300.2.n.a.11.46	yes	224	25.11	even	5	inner
300.2.n.a.191.11	yes	224	4.3	odd	2	inner
300.2.n.a.191.24	yes	224	1.1	even	1	trivial
300.2.n.a.191.33	yes	224	3.2	odd	2	inner
300.2.n.a.191.46	yes	224	12.11	even	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.311798 + 1.37941i) q^{2} +(1.65104 + 0.523516i) q^{3} +(-1.80556 - 0.860197i) q^{4} +(-0.573135 + 2.16137i) q^{5} +(-1.23694 + 2.11423i) q^{6} +1.39878i q^{7} +(1.74954 - 2.22241i) q^{8} +(2.45186 + 1.72869i) q^{9} +O(q^{10})\)	\(q+(-0.311798 + 1.37941i) q^{2} +(1.65104 + 0.523516i) q^{3} +(-1.80556 - 0.860197i) q^{4} +(-0.573135 + 2.16137i) q^{5} +(-1.23694 + 2.11423i) q^{6} +1.39878i q^{7} +(1.74954 - 2.22241i) q^{8} +(2.45186 + 1.72869i) q^{9} +(-2.80272 - 1.46450i) q^{10} +(0.762524 + 0.554006i) q^{11} +(-2.53073 - 2.36546i) q^{12} +(-0.565071 + 0.410548i) q^{13} +(-1.92949 - 0.436136i) q^{14} +(-2.07778 + 3.26846i) q^{15} +(2.52012 + 3.10628i) q^{16} +(-7.22981 - 2.34911i) q^{17} +(-3.14907 + 2.84313i) q^{18} +(0.528622 + 0.171760i) q^{19} +(2.89403 - 3.40948i) q^{20} +(-0.732284 + 2.30944i) q^{21} +(-1.00196 + 0.879098i) q^{22} +(3.42995 + 2.49200i) q^{23} +(4.05203 - 2.75338i) q^{24} +(-4.34303 - 2.47751i) q^{25} +(-0.390127 - 0.907474i) q^{26} +(3.14312 + 4.13773i) q^{27} +(1.20323 - 2.52559i) q^{28} +(3.38995 - 1.10146i) q^{29} +(-3.86071 - 3.88522i) q^{30} +(9.35292 + 3.03895i) q^{31} +(-5.07062 + 2.50776i) q^{32} +(0.968926 + 1.31388i) q^{33} +(5.49463 - 9.24045i) q^{34} +(-3.02328 - 0.801689i) q^{35} +(-2.93998 - 5.23035i) q^{36} +(-0.815640 + 0.592597i) q^{37} +(-0.401751 + 0.675634i) q^{38} +(-1.14788 + 0.382007i) q^{39} +(3.80073 + 5.05514i) q^{40} +(-4.88230 - 6.71991i) q^{41} +(-2.95735 - 1.73020i) q^{42} -10.8752i q^{43} +(-0.900231 - 1.65621i) q^{44} +(-5.14159 + 4.30860i) q^{45} +(-4.50695 + 3.95431i) q^{46} +(1.76153 + 5.42145i) q^{47} +(2.53463 + 6.44792i) q^{48} +5.04342 q^{49} +(4.77166 - 5.21836i) q^{50} +(-10.7069 - 7.66339i) q^{51} +(1.37342 - 0.255198i) q^{52} +(4.78908 - 1.55607i) q^{53} +(-6.68766 + 3.04553i) q^{54} +(-1.63444 + 1.33058i) q^{55} +(3.10866 + 2.44722i) q^{56} +(0.782857 + 0.560325i) q^{57} +(0.462392 + 5.01958i) q^{58} +(5.62178 - 4.08446i) q^{59} +(6.56308 - 4.11411i) q^{60} +(0.0279495 + 0.0203065i) q^{61} +(-7.10819 + 11.9540i) q^{62} +(-2.41806 + 3.42961i) q^{63} +(-1.87823 - 7.77639i) q^{64} +(-0.563484 - 1.45663i) q^{65} +(-2.11449 + 0.926884i) q^{66} +(4.99301 + 1.62233i) q^{67} +(11.0332 + 10.4605i) q^{68} +(4.35837 + 5.91003i) q^{69} +(2.04851 - 3.92039i) q^{70} +(-2.97804 - 9.16545i) q^{71} +(8.13149 - 2.42463i) q^{72} +(7.64233 + 5.55248i) q^{73} +(-0.563122 - 1.30988i) q^{74} +(-5.87350 - 6.36412i) q^{75} +(-0.806714 - 0.764843i) q^{76} +(-0.774932 + 1.06660i) q^{77} +(-0.169038 - 1.70251i) q^{78} +(8.04233 - 2.61311i) q^{79} +(-8.15819 + 3.66660i) q^{80} +(3.02325 + 8.47703i) q^{81} +(10.7918 - 4.63946i) q^{82} +(-0.222751 + 0.685556i) q^{83} +(3.30876 - 3.53993i) q^{84} +(9.22094 - 14.2799i) q^{85} +(15.0014 + 3.39086i) q^{86} +(6.17358 - 0.0438621i) q^{87} +(2.56529 - 0.725387i) q^{88} +(-4.97245 + 6.84399i) q^{89} +(-4.34021 - 8.43579i) q^{90} +(-0.574266 - 0.790409i) q^{91} +(-4.04938 - 7.44990i) q^{92} +(13.8511 + 9.91383i) q^{93} +(-8.02766 + 0.739489i) q^{94} +(-0.674208 + 1.04411i) q^{95} +(-9.68464 + 1.48586i) q^{96} +(-0.529007 - 1.62812i) q^{97} +(-1.57253 + 6.95696i) q^{98} +(0.911897 + 2.67651i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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